chem_funs.py

#!/usr/bin/python

from scipy import *
import numpy as np
from phy_const import kb, Navo
import vulcan_cfg

'''
## Reaction ##

# Chemical Network and Photolysis Reactions 

#R1
CO2 + N_2D  -> CO + NO
#R3
CO2 + CH2_1  -> H2CO + CO
#R5
CO2 + CH  -> HCO + CO
#R7
NCO + H  -> O + HCN
#R9
H2O2  -> OH + OH
#R11
H2CO + CN  -> HCN + HCO
#R13
H2CO + OH  -> H2O + CO + H
#R15
H2CO + OH  -> H2O + HCO
#R17
H2CO + O  -> HCO + OH
#R19
H2CO + O_1  -> HCO + OH
#R21
H2CO + CH3  -> HCO + CH4
#R23
H2CO + CH2  -> HCO + CH3
#R25
H2CO + CH2_1  -> HCO + CH3
#R27
H2CO + CH  -> CO + CH3
#R29
H2CO + CH  -> HCO + CH2
#R31
H2CO + H  -> HCO + H2
#R33
HCO + H2CN  -> H2CO + HCN
#R35
HCO + HCO  -> H2CO + CO
#R37
HCO + HCO  -> CO + CO + H2
#R39
HCO + CN  -> CO + HCN
#R41
HCO + OH  -> CO + H2O
#R43
HCO + O  -> CO2 + H
#R45
HCO + O  -> CO + OH
#R47
HCO + O_1  -> CO2 + H
#R49
HCO + NH  -> H2CO + N
#R51
HCO + NH  -> CO + NH2
#R53
HCO + N  -> NCO + H
#R55
HCO + N  -> CO + NH
#R57
HCO + N_2D  -> NCO + H
#R59
HCO + N_2D  -> CO + NH
#R61
HCO + CH3  -> CO + CH4
#R63
HCO + CH2  -> CO + CH3
#R65
HCO + CH2_1  -> CO + CH3
#R67
HCO + CH  -> CO + CH2
#R69
HCO + CH  -> CO + CH2_1
#R71
HCO + H  -> CO + H2
#R73
HCO + H  -> CO + H + H
#R75
HCO  -> CO + H
#R77
CO + OH  -> CO2 + H
#R79
H2O + O_1  -> OH + OH
#R81
H2O + CN  -> OH + HCN
#R83
H2O + N_2D  -> HNO + H
#R85
H2O + CH  -> H2CO + H
#R87
OH + HCN  -> HOCN + H
#R89
OH + CN  -> NCO + H
#R91
OH + CN  -> HCN + O
#R93
OH + OH  -> H2O + O
#R95
OH + O  -> O2 + H
#R97
OH + O_1  -> O2 + H
#R99
OH + NH  -> HNO + H
#R101
OH + NH  -> H2O + N
#R103
OH + N  -> NO + H
#R105
OH + N_2D  -> NO + H
#R107
OH + CH4  -> H2O + CH3
#R109
OH + CH3  -> H2O + CH2
#R111
OH + CH2  -> H2CO + H
#R113
OH + CH2  -> H2O + CH
#R115
OH + CH2_1  -> H2CO + H
#R117
OH + CH  -> HCO + H
#R119
OH + CH  -> CO + H2
#R121
OH + CH  -> CO + H + H
#R123
OH + H2  -> H2O + H
#R125
O + H2CN  -> HCNO + H
#R127
O + H2CN  -> OH + HCN
#R129
O + CN  -> CO + N
#R131
O + CN  -> CO + N_2D
#R133
O + NH  -> NO + H
#R135
O + NH  -> OH + N
#R137
O + CH4  -> OH + CH3
#R139
O + CH3  -> H2CO + H
#R141
O + CH2  -> CO + H + H
#R143
O + CH2  -> CO + H2
#R145
O + CH2_1  -> HCO + H
#R147
O + CH  -> CO + H
#R149
O + CH  -> OH + C
#R151
O + H2  -> OH + H
#R153
O_1 + H2CN  -> O + H2CN
#R155
O_1 + H2CN  -> HCNO + H
#R157
O_1 + H2CN  -> OH + HCN
#R159
O_1 + CN  -> CO + N_2D
#R161
O_1 + CH4  -> OH + CH3
#R163
O_1 + CH3  -> H2CO + H
#R165
O_1 + CH2  -> HCO + H
#R167
O_1 + CH2_1  -> CO + H + H
#R169
O_1 + CH2_1  -> CO + H2
#R171
O_1 + CH  -> CO + H
#R173
O_1 + H2  -> OH + H
#R175
H2CN + NH  -> HCN + NH2
#R177
H2CN + N  -> N2 + CH2
#R179
H2CN + N  -> HCN + NH
#R181
H2CN + N_2D  -> N2 + CH2
#R183
H2CN + N_2D  -> N2 + CH2_1
#R185
H2CN + CH  -> CH2CN + H
#R187
H2CN + CH  -> HCN + CH2
#R189
H2CN + CH  -> HCN + CH2_1
#R191
H2CN + H  -> HCN + H2
#R193
H2CN  -> HCN + H
#R195
HCN + CN -> NCCN + H
#R197
HCN + N_2D  -> N2 + CH
#R199
HCN + CH2_1  -> CH2CN + H
#R201
HCN + H  -> HCN + H
#R203
CN + NH  -> HCN + N
#R205
CN + NH  -> CH + N2
#R207
CN + N  -> N2 + C
#R209
CN + N_2D  -> N2 + C
#R211
CN + CH4  -> HCN + CH3
#R213
CN + CH3  -> HCN + CH2
#R215
CN + CH  -> HCN + C
#R217
CN + H2  -> HCN + H
#R219
NH + NH  -> N2 + H + H
#R221
NH + NH  -> NH2 + N
#R223
NH + N  -> N2 + H
#R225
NH + N_2D  -> N2 + H
#R227
NH + CH3  -> H2CN + H2
#R229
NH + CH2  -> H2CN + H
#R231
NH + CH2_1  -> H2CN + H
#R233
NH + CH  -> HCN + H
#R235
NH + H  -> H2 + N
#R237
N + CH3  -> H2CN + H
#R239
N + CH2  -> HCN + H
#R241
N + CH2_1  -> CN + H + H
#R243
N + CH  -> CN + H
#R245
N_2D + CH4  -> H2CN + H2
#R247
N_2D + CH3  -> H2CN + H
#R249
N_2D + CH2  -> HCN + H
#R251
N_2D + CH2  -> CN + H + H
#R253
N_2D + CH2_1  -> HCN + H
#R255
N_2D + CH  -> CN + H
#R257
N_2D + H2  -> NH + H
#R259
CH4 + CH2_1  -> CH3 + CH3
#R261
CH4 + CH  -> C2H4 + H
#R263
CH4 + H  -> CH3 + H2
#R265
CH3 + CH3  -> CH4 + CH2
#R267
CH3 + CH2  -> C2H4 + H
#R269
CH3 + CH2_1  -> C2H4 + H
#R271
CH3 + CH  -> C2H4
#R273
CH3 + CH  -> C2H2 + H + H
#R275
CH3 + H  -> CH2 + H2
#R277
CH2 + CH2  -> C2H2 + H2
#R279
CH2 + CH2_1  -> C2H2 + H + H
#R281
CH2 + CH  -> C2H2 + H
#R283
CH2 + CH  -> C2H + H + H
#R285
CH2 + H  -> CH + H2
#R287
CH2_1 + CH2_1  -> C2H2 + H2
#R289
CH2_1 + CH  -> C2H2 + H
#R291
CH2_1 + H2  -> CH3 + H
#R293
CH2_1 + H  -> CH + H2
#R295
CH2_1 + H  -> CH2 + H
#R297
CH + CH  -> C2H + H
#R299
CH + H  -> C + H2
#R301
C + O2  -> CO + O
#R303
C + NO  -> CN + O
#R305
HO2 + O  -> O2 + OH
#R307
HO2 + H  -> H2O + O
#R309
HO2 + H  -> OH + OH
#R311
HO2 + H  -> O2 + H2
#R313
HO2 + OH  -> H2O + O2
#R315
HCCO + H  -> CO + CH2
#R317
HCCO + O  -> CO + CO + H
#R319
HCCO + NO  -> HCN + CO2
#R321
HCCO + NO  -> HCNO + CO
#R323
C2H + O  -> CH + CO
#R325
C2H + CH4  -> C2H2 + CH3
#R327
O2 + NCO  -> CO2 + NO
#R329
O2 + CH  -> OH + CO
#R331
O2 + HCO  -> CO + HO2
#R333
O2 + C2H  -> O + HCCO
#R335
O2 + C2H  -> CO + HCO
#R337
O2 + CN  -> NCO + O
#R339
NCO + O  -> NO + CO
#R341
NCO + H  -> NH + CO
#R343
NCO + NO  -> N2 + CO2
#R345
NO + N  -> N2 + O
#R347
NO + N_2D  -> N2 + O
#R349
O2 + N  -> NO + O
#R351
C2H + H2  -> C2H2 + H
#R353
C2H + OH  -> C2H2 + O
#R355
C2H + OH  -> CO + CH2
#R357
C2H + HO2  -> OH + HCCO
#R359
C2H2 + O  -> CO + CH2
#R361
C2H2 + CN  -> HC3N + H
#R363
C2H2 + CN  -> HCN + C2H
#R365
C2H4 + O  -> HCO + CH3
#R367
C2H4 + O  -> H2CO + CH2
#R369
C2H4 + N  -> HCN + CH3
#R371
C2H4 + OH  -> C2H2 + H2O + H
#R373
C2H4 + CH3  -> C2H2 + CH4 + H
#R375
C2H4 + CN   -> CH2CHCN + H
#R377
C2H4 + CN  -> HCN + C2H2 + H
#R379
C2H6 + CH2  -> C2H4 + CH3 + H
#R381
C2H6 + O  -> C2H4 + OH + H
#R383
C2H6 + H  -> C2H4 + H2 + H
#R385
C2H6 + OH  -> C2H4 + H2O + H
#R387
C2H6 + CH  -> C2H4 + CH3
#R389
C2H6 + CH  -> CH3CHCH2 + H
#R391
C2H6 + CH3  -> CH4 + C2H4 + H
#R393
C2H6 + C2H  -> C2H2 + C2H4 + H
#R395
C2H6 + CN  -> HCN + C2H4 + H
#R397
C2H6 + O_1  -> C2H4 + OH + H
#R399
C2H6 + O_1  -> C2H6 + O
#R401
CH3CHCH2 + C2H  -> CH2CHCH2 + C2H2
#R403
HCN + C2H  -> HC3N + H
#R405
NH2 + O  -> H + HNO
#R407
NH2 + O  -> OH + NH
#R409
NH2 + O  -> H2 + NO
#R411
NH2 + NO  -> N2 + H2O
#R413
NH2 + OH  -> H2O + NH
#R415
NH2 + HO2  -> H2O + HNO
#R417
NH2 + HO2  -> NH3 + O2
#R419
NH2 + H2  -> NH3 + H
#R421
NH2 + C2H6  -> NH3 + C2H4 + H
#R423
NH2 + CH4  -> NH3 + CH3
#R425
HNO + O  -> OH + NO
#R427
HNO + H  -> H2 + NO
#R429
HNO + OH  -> H2O + NO
#R431
HNO + HCO  -> H2CO + NO
#R433
CN + HNO  -> HCN + NO
#R435
NH3 + O  -> NH2 + OH
#R437
NH3 + OH  -> NH2 + H2O
#R439
NH3 + CN  -> HCN + NH2
#R441
CH3CHO + N  -> HCN + H2 + HCO
#R443
CH3CHO + H  -> CO + H2 + CH3
#R445
CH3CHO + H  -> CH4 + HCO
#R447
CH3OH + N  -> CH3 + HNO
#R449
CH3OH + OH  -> H2CO + H2O + H
#R451
C2H4 + N_2D  -> CH3CN + H
#R453
CH3CHCH2 + CN  -> CH3CN + C2H2 + H
#M455
HCO + N_2D + M -> HCNO + M
#M457
HCO + CH3 + M -> CH3CHO + M
#M459
HCO + H + M -> H2CO + M
#M461
CO + O_1 + M ->	CO2 + M
#M463
CO + CH + M -> HCCO + M
#M465
CO + H + M -> HCO + M
#M467
OH + CN + M -> HOCN + M
#M469
OH + OH + M ->	H2O2 + M
#M471
OH + O + M ->	HO2 + M
#M473
OH + O_1 + M ->	HO2 + M
#M475
OH + CH3 + M ->	CH3OH + M
#M477
OH + H + M ->	H2O + M
#M479
O + CN + M -> NCO + M
#M481
O + O + M -> O2 + M
#M483
O + N + M -> NO + M
#M485
O + CH2 + M -> H2CO + M
#M487
O + CH + M ->	HCO + M
#M489
O + H + M -> OH + M
#M491
O_1 + HCN + M -> HCNO + M
#M493
O_1 + CN + M -> NCO + M
#M495
O_1 + O_1 + M -> O2 + M
#M497
O_1 + CH4 + M -> CH3OH + M
#M499
O_1 + CH2_1 + M -> H2CO + M
#M501
O_1 + CH + M -> HCO + M
#M503
O_1 + H2 + M -> H2O + M
#M505
O_1 + H + M -> OH + M
#M507
O_1 + M -> O + M
#M509
HCN + CH + M -> CH2CN + M
#M511
CN + CN + M -> NCCN + M
#M513
CN + CH3 + M -> CH3CN + M
#M515
CN + CH2 + M -> CH2CN + M
#M517
CN + CH2_1 + M -> CH2CN + M
#M519
CN + H + M -> HCN + M
#M521
N + CH2 + M -> H2CN + M
#M523
N + N + M -> N2 + M
#M525
N + H + M -> NH + M
#M527
N_2D + CH2 + M -> H2CN + M
#M529
N_2D + CH2_1 + M -> H2CN + M
#M531
N_2D + N_2D + M -> N2 + M
#M533
N_2D + H + M -> NH + M
#M535
CH4 + CH2_1 + M -> C2H6 + M
#M537
CH3 + CH3 + M -> C2H6 + M
#M539
CH3 + H + M -> CH4 + M
#M541
CH2 + CH2 + M -> C2H4 + M
#M543
CH2 + H + M -> CH3 + M
#M545
CH2_1 + CH2_1 + M -> C2H4 + M
#M547
CH2_1 + H2 + M -> CH4 + M
#M549
CH2_1 + H + M -> CH3 + M
#M551
CH + CH + M -> C2H2 + M
#M553
CH + H2 + M -> CH3 + M
#M555
CH + H + M -> CH2 + M
#M557
CH + H + M -> CH2_1 + M
#M559
H + H + M -> H2 + M
#M561
N_2D + M -> N + M
#M563
CH2_1 + M -> CH2 + M
#M565
C2H + H + M -> C2H2 + M
#M567
C + H2 + M -> CH2 + M
#M569
O2 + H + M -> HO2 + M
#C571
H2O -> H2O_l_s
#P573
H2O -> H + OH
#P575
H2O -> H2 + O_1
#P577
H2O -> H + H + O
#P579
CH4 -> CH3 + H
#P581
CH4 -> CH2_1 + H2
#P583
CH4 -> CH2_1 + H + H
#P585
CH4 -> CH + H2 + H
#P587
CH3 -> CH + H2
#P589
CH3 -> CH2_1 + H
#P591
CO -> C + O
#P593
H2 -> H + H
#P595
C2H2 -> C2H + H
#P597
CO2 -> CO + O
#P599
CO2 -> CO + O_1
#P601
C2H4 -> C2H2 + H2
#P603
C2H4 -> C2H2 + H + H
#P605
C2H4 -> C2H3 + H
#P607
C2H6 -> C2H4 + H2
#P609
C2H6 -> C2H4 + H + H
#P611
C2H6 -> C2H2 + H2 + H2
#P613
C2H6 -> CH4 + CH2_1
#P615
C2H6 -> CH3 + CH3
#P617
OH -> H + O
#P619
HCO -> H + CO
#P621
H2CO -> H2 + CO
#P623
H2CO -> H + HCO
#P625
O2 -> O + O
#P627
O2 -> O + O_1
#P629
CH3OH -> CH3 + OH
#P631
CH3OH -> H2CO + H2
#P633
CH3OH -> CH3O + H
#P635
CH3CHO -> CH4 + CO
#P637
CH3CHO -> CH3 + HCO
#P639
HO2 -> O + OH
#P641
H2O2 -> OH + OH
#P643
N2 -> N + N
#P645
NH3 -> NH2 + H
#P647
NH3 -> NH + H + H
#P649
HCN -> H + CN
#P651
NO  -> N + O
#P653
HNCO -> NH + CO
#P655
HNCO -> H + NCO
#P657
CH2 -> CH + H
#P659
CH -> C + H
#P661
H2O_l_s -> H2O_rain
#P663
HCN -> HCN_rain


## Mapping ##

CO2: y[0], N_2D: y[1], CO: y[2], NO: y[3], CH2_1: y[4], H2CO: y[5], CH: y[6], HCO: y[7], NCO: y[8], H: y[9], O: y[10], HCN: y[11], H2O2: y[12], OH: y[13], CN: y[14], H2O: y[15], O_1: y[16], CH3: y[17], CH4: y[18], CH2: y[19], H2: y[20], H2CN: y[21], NH: y[22], N: y[23], NH2: y[24], HNO: y[25], HOCN: y[26], O2: y[27], HCNO: y[28], C: y[29], N2: y[30], CH2CN: y[31], NCCN: y[32], C2H4: y[33], C2H2: y[34], C2H: y[35], HO2: y[36], HCCO: y[37], HC3N: y[38], CH2CHCN: y[39], C2H6: y[40], CH3CHCH2: y[41], CH2CHCH2: y[42], NH3: y[43], CH3CHO: y[44], CH3OH: y[45], CH3CN: y[46], H2O_l_s: y[47], C2H3: y[48], CH3O: y[49], HNCO: y[50], H2O_rain: y[51], HCN_rain: y[52], 

CO2	0	 -1*v_1(k, M, y[0], y[3], y[2], y[1]) -1*v_3(k, M, y[5], y[0], y[4], y[2]) -1*v_5(k, M, y[7], y[0], y[2], y[6]) +1*v_43(k, M, y[10], y[7], y[9], y[0]) +1*v_47(k, M, y[16], y[7], y[9], y[0]) +1*v_77(k, M, y[0], y[13], y[9], y[2]) +1*v_319(k, M, y[0], y[3], y[37], y[11]) +1*v_327(k, M, y[27], y[3], y[0], y[8]) +1*v_343(k, M, y[30], y[3], y[0], y[8]) +1*v_461(k, M, y[16], y[0], y[2]) -1*v_597(k, M, y[10], y[0], y[2]) -1*v_599(k, M, y[16], y[0], y[2])
N_2D	1	 -1*v_1(k, M, y[0], y[3], y[2], y[1]) -1*v_57(k, M, y[7], y[8], y[9], y[1]) -1*v_59(k, M, y[7], y[22], y[2], y[1]) -1*v_83(k, M, y[25], y[9], y[15], y[1]) -1*v_105(k, M, y[3], y[13], y[9], y[1]) +1*v_131(k, M, y[10], y[14], y[2], y[1]) +1*v_159(k, M, y[16], y[14], y[2], y[1]) -1*v_181(k, M, y[30], y[21], y[19], y[1]) -1*v_183(k, M, y[30], y[21], y[4], y[1]) -1*v_197(k, M, y[30], y[6], y[11], y[1]) -1*v_209(k, M, y[14], y[29], y[30], y[1]) -1*v_225(k, M, y[30], y[9], y[22], y[1]) -1*v_245(k, M, y[18], y[21], y[20], y[1]) -1*v_247(k, M, y[17], y[21], y[9], y[1]) -1*v_249(k, M, y[9], y[11], y[19], y[1]) -1*v_251(k, M, y[14], y[9], y[19], y[1]) -1*v_253(k, M, y[9], y[11], y[4], y[1]) -1*v_255(k, M, y[14], y[6], y[9], y[1]) -1*v_257(k, M, y[20], y[9], y[22], y[1]) -1*v_347(k, M, y[30], y[3], y[10], y[1]) -1*v_451(k, M, y[9], y[46], y[33], y[1]) -1*v_455(k, M, y[28], y[7], y[1]) -1*v_527(k, M, y[21], y[19], y[1]) -1*v_529(k, M, y[21], y[4], y[1]) -1*v_531(k, M, y[30], y[1]) -1*v_531(k, M, y[30], y[1]) -1*v_533(k, M, y[9], y[22], y[1]) -1*v_561(k, M, y[23], y[1])
CO	2	 +1*v_1(k, M, y[0], y[3], y[2], y[1]) +1*v_3(k, M, y[5], y[0], y[4], y[2]) +1*v_5(k, M, y[7], y[0], y[2], y[6]) +1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) +1*v_27(k, M, y[17], y[5], y[2], y[6]) +1*v_35(k, M, y[7], y[5], y[2]) +1*v_37(k, M, y[20], y[7], y[2]) +1*v_37(k, M, y[20], y[7], y[2]) +1*v_39(k, M, y[14], y[7], y[11], y[2]) +1*v_41(k, M, y[7], y[13], y[15], y[2]) +1*v_45(k, M, y[10], y[7], y[13], y[2]) +1*v_51(k, M, y[7], y[22], y[2], y[24]) +1*v_55(k, M, y[7], y[23], y[22], y[2]) +1*v_59(k, M, y[7], y[22], y[2], y[1]) +1*v_61(k, M, y[17], y[7], y[18], y[2]) +1*v_63(k, M, y[17], y[7], y[19], y[2]) +1*v_65(k, M, y[17], y[7], y[4], y[2]) +1*v_67(k, M, y[7], y[19], y[2], y[6]) +1*v_69(k, M, y[7], y[4], y[2], y[6]) +1*v_71(k, M, y[20], y[7], y[9], y[2]) +1*v_73(k, M, y[7], y[9], y[2]) +1*v_75(k, M, y[7], y[9], y[2]) -1*v_77(k, M, y[0], y[13], y[9], y[2]) +1*v_119(k, M, y[20], y[13], y[2], y[6]) +1*v_121(k, M, y[13], y[9], y[2], y[6]) +1*v_129(k, M, y[10], y[14], y[23], y[2]) +1*v_131(k, M, y[10], y[14], y[2], y[1]) +1*v_141(k, M, y[10], y[9], y[19], y[2]) +1*v_143(k, M, y[10], y[20], y[19], y[2]) +1*v_147(k, M, y[10], y[9], y[2], y[6]) +1*v_159(k, M, y[16], y[14], y[2], y[1]) +1*v_167(k, M, y[16], y[9], y[4], y[2]) +1*v_169(k, M, y[16], y[20], y[4], y[2]) +1*v_171(k, M, y[16], y[9], y[2], y[6]) +1*v_301(k, M, y[27], y[29], y[10], y[2]) +1*v_315(k, M, y[19], y[37], y[9], y[2]) +1*v_317(k, M, y[10], y[37], y[9], y[2]) +1*v_317(k, M, y[10], y[37], y[9], y[2]) +1*v_321(k, M, y[3], y[37], y[2], y[28]) +1*v_323(k, M, y[10], y[35], y[2], y[6]) +1*v_329(k, M, y[27], y[13], y[2], y[6]) +1*v_331(k, M, y[27], y[36], y[7], y[2]) +1*v_335(k, M, y[27], y[7], y[35], y[2]) +1*v_339(k, M, y[10], y[3], y[8], y[2]) +1*v_341(k, M, y[8], y[9], y[22], y[2]) +1*v_355(k, M, y[35], y[13], y[19], y[2]) +1*v_359(k, M, y[10], y[19], y[34], y[2]) +1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) -1*v_461(k, M, y[16], y[0], y[2]) -1*v_463(k, M, y[37], y[2], y[6]) -1*v_465(k, M, y[7], y[9], y[2]) -1*v_591(k, M, y[10], y[29], y[2]) +1*v_597(k, M, y[10], y[0], y[2]) +1*v_599(k, M, y[16], y[0], y[2]) +1*v_619(k, M, y[7], y[9], y[2]) +1*v_621(k, M, y[20], y[5], y[2]) +1*v_635(k, M, y[18], y[2], y[44]) +1*v_653(k, M, y[50], y[22], y[2])
NO	3	 +1*v_1(k, M, y[0], y[3], y[2], y[1]) +1*v_103(k, M, y[23], y[3], y[13], y[9]) +1*v_105(k, M, y[3], y[13], y[9], y[1]) +1*v_133(k, M, y[10], y[9], y[3], y[22]) -1*v_303(k, M, y[14], y[29], y[3], y[10]) -1*v_319(k, M, y[0], y[3], y[37], y[11]) -1*v_321(k, M, y[3], y[37], y[2], y[28]) +1*v_327(k, M, y[27], y[3], y[0], y[8]) +1*v_339(k, M, y[10], y[3], y[8], y[2]) -1*v_343(k, M, y[30], y[3], y[0], y[8]) -1*v_345(k, M, y[30], y[3], y[23], y[10]) -1*v_347(k, M, y[30], y[3], y[10], y[1]) +1*v_349(k, M, y[27], y[3], y[23], y[10]) +1*v_409(k, M, y[10], y[20], y[3], y[24]) -1*v_411(k, M, y[30], y[3], y[15], y[24]) +1*v_425(k, M, y[10], y[25], y[3], y[13]) +1*v_427(k, M, y[25], y[3], y[9], y[20]) +1*v_429(k, M, y[25], y[3], y[13], y[15]) +1*v_431(k, M, y[25], y[7], y[3], y[5]) +1*v_433(k, M, y[14], y[25], y[3], y[11]) +1*v_483(k, M, y[10], y[3], y[23]) -1*v_651(k, M, y[10], y[3], y[23])
CH2_1	4	 -1*v_3(k, M, y[5], y[0], y[4], y[2]) -1*v_25(k, M, y[7], y[17], y[4], y[5]) -1*v_65(k, M, y[17], y[7], y[4], y[2]) +1*v_69(k, M, y[7], y[4], y[2], y[6]) -1*v_115(k, M, y[5], y[9], y[13], y[4]) -1*v_145(k, M, y[10], y[9], y[7], y[4]) -1*v_167(k, M, y[16], y[9], y[4], y[2]) -1*v_169(k, M, y[16], y[20], y[4], y[2]) +1*v_183(k, M, y[30], y[21], y[4], y[1]) +1*v_189(k, M, y[4], y[21], y[11], y[6]) -1*v_199(k, M, y[9], y[31], y[11], y[4]) -1*v_231(k, M, y[9], y[4], y[21], y[22]) -1*v_241(k, M, y[14], y[9], y[23], y[4]) -1*v_253(k, M, y[9], y[11], y[4], y[1]) -1*v_259(k, M, y[18], y[4], y[17]) -1*v_269(k, M, y[17], y[9], y[4], y[33]) -1*v_279(k, M, y[9], y[4], y[19], y[34]) -1*v_287(k, M, y[20], y[4], y[34]) -1*v_287(k, M, y[20], y[4], y[34]) -1*v_289(k, M, y[9], y[4], y[34], y[6]) -1*v_291(k, M, y[20], y[9], y[4], y[17]) -1*v_293(k, M, y[20], y[9], y[4], y[6]) -1*v_295(k, M, y[9], y[19], y[4]) -1*v_499(k, M, y[16], y[5], y[4]) -1*v_517(k, M, y[14], y[31], y[4]) -1*v_529(k, M, y[21], y[4], y[1]) -1*v_535(k, M, y[40], y[18], y[4]) -1*v_545(k, M, y[4], y[33]) -1*v_545(k, M, y[4], y[33]) -1*v_547(k, M, y[20], y[4], y[18]) -1*v_549(k, M, y[17], y[9], y[4]) +1*v_557(k, M, y[4], y[9], y[6]) -1*v_563(k, M, y[19], y[4]) +1*v_581(k, M, y[18], y[4], y[20]) +1*v_583(k, M, y[18], y[9], y[4]) +1*v_589(k, M, y[17], y[9], y[4]) +1*v_613(k, M, y[40], y[18], y[4])
H2CO	5	 +1*v_3(k, M, y[5], y[0], y[4], y[2]) -1*v_11(k, M, y[14], y[7], y[11], y[5]) -1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) -1*v_15(k, M, y[7], y[13], y[5], y[15]) -1*v_17(k, M, y[10], y[7], y[13], y[5]) -1*v_19(k, M, y[16], y[7], y[13], y[5]) -1*v_21(k, M, y[17], y[7], y[18], y[5]) -1*v_23(k, M, y[17], y[7], y[19], y[5]) -1*v_25(k, M, y[7], y[17], y[4], y[5]) -1*v_27(k, M, y[17], y[5], y[2], y[6]) -1*v_29(k, M, y[7], y[19], y[5], y[6]) -1*v_31(k, M, y[7], y[20], y[9], y[5]) +1*v_33(k, M, y[7], y[21], y[5], y[11]) +1*v_35(k, M, y[7], y[5], y[2]) +1*v_49(k, M, y[5], y[7], y[23], y[22]) +1*v_85(k, M, y[5], y[9], y[15], y[6]) +1*v_111(k, M, y[5], y[9], y[13], y[19]) +1*v_115(k, M, y[5], y[9], y[13], y[4]) +1*v_139(k, M, y[10], y[17], y[9], y[5]) +1*v_163(k, M, y[16], y[17], y[9], y[5]) +1*v_367(k, M, y[10], y[19], y[5], y[33]) +1*v_431(k, M, y[25], y[7], y[3], y[5]) +1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) +1*v_459(k, M, y[5], y[7], y[9]) +1*v_485(k, M, y[10], y[5], y[19]) +1*v_499(k, M, y[16], y[5], y[4]) -1*v_621(k, M, y[20], y[5], y[2]) -1*v_623(k, M, y[7], y[9], y[5]) +1*v_631(k, M, y[45], y[5], y[20])
CH	6	 -1*v_5(k, M, y[7], y[0], y[2], y[6]) -1*v_27(k, M, y[17], y[5], y[2], y[6]) -1*v_29(k, M, y[7], y[19], y[5], y[6]) -1*v_67(k, M, y[7], y[19], y[2], y[6]) -1*v_69(k, M, y[7], y[4], y[2], y[6]) -1*v_85(k, M, y[5], y[9], y[15], y[6]) +1*v_113(k, M, y[13], y[19], y[15], y[6]) -1*v_117(k, M, y[7], y[13], y[9], y[6]) -1*v_119(k, M, y[20], y[13], y[2], y[6]) -1*v_121(k, M, y[13], y[9], y[2], y[6]) -1*v_147(k, M, y[10], y[9], y[2], y[6]) -1*v_149(k, M, y[10], y[29], y[13], y[6]) -1*v_171(k, M, y[16], y[9], y[2], y[6]) -1*v_185(k, M, y[31], y[21], y[9], y[6]) -1*v_187(k, M, y[19], y[21], y[11], y[6]) -1*v_189(k, M, y[4], y[21], y[11], y[6]) +1*v_197(k, M, y[30], y[6], y[11], y[1]) +1*v_205(k, M, y[14], y[30], y[22], y[6]) -1*v_215(k, M, y[14], y[29], y[11], y[6]) -1*v_233(k, M, y[9], y[11], y[22], y[6]) -1*v_243(k, M, y[14], y[23], y[9], y[6]) -1*v_255(k, M, y[14], y[6], y[9], y[1]) -1*v_261(k, M, y[18], y[9], y[33], y[6]) -1*v_271(k, M, y[17], y[33], y[6]) -1*v_273(k, M, y[17], y[9], y[34], y[6]) -1*v_281(k, M, y[9], y[19], y[34], y[6]) -1*v_283(k, M, y[9], y[35], y[19], y[6]) +1*v_285(k, M, y[20], y[9], y[19], y[6]) -1*v_289(k, M, y[9], y[4], y[34], y[6]) +1*v_293(k, M, y[20], y[9], y[4], y[6]) -1*v_297(k, M, y[35], y[9], y[6]) -1*v_297(k, M, y[35], y[9], y[6]) -1*v_299(k, M, y[29], y[9], y[20], y[6]) +1*v_323(k, M, y[10], y[35], y[2], y[6]) -1*v_329(k, M, y[27], y[13], y[2], y[6]) -1*v_387(k, M, y[40], y[17], y[33], y[6]) -1*v_389(k, M, y[40], y[41], y[9], y[6]) -1*v_463(k, M, y[37], y[2], y[6]) -1*v_487(k, M, y[10], y[7], y[6]) -1*v_501(k, M, y[16], y[7], y[6]) -1*v_509(k, M, y[31], y[11], y[6]) -1*v_551(k, M, y[34], y[6]) -1*v_551(k, M, y[34], y[6]) -1*v_553(k, M, y[20], y[17], y[6]) -1*v_555(k, M, y[19], y[9], y[6]) -1*v_557(k, M, y[4], y[9], y[6]) +1*v_585(k, M, y[18], y[9], y[20], y[6]) +1*v_587(k, M, y[17], y[20], y[6]) +1*v_657(k, M, y[9], y[19], y[6]) -1*v_659(k, M, y[29], y[9], y[6])
HCO	7	 +1*v_5(k, M, y[7], y[0], y[2], y[6]) +1*v_11(k, M, y[14], y[7], y[11], y[5]) +1*v_15(k, M, y[7], y[13], y[5], y[15]) +1*v_17(k, M, y[10], y[7], y[13], y[5]) +1*v_19(k, M, y[16], y[7], y[13], y[5]) +1*v_21(k, M, y[17], y[7], y[18], y[5]) +1*v_23(k, M, y[17], y[7], y[19], y[5]) +1*v_25(k, M, y[7], y[17], y[4], y[5]) +1*v_29(k, M, y[7], y[19], y[5], y[6]) +1*v_31(k, M, y[7], y[20], y[9], y[5]) -1*v_33(k, M, y[7], y[21], y[5], y[11]) -1*v_35(k, M, y[7], y[5], y[2]) -1*v_35(k, M, y[7], y[5], y[2]) -1*v_37(k, M, y[20], y[7], y[2]) -1*v_37(k, M, y[20], y[7], y[2]) -1*v_39(k, M, y[14], y[7], y[11], y[2]) -1*v_41(k, M, y[7], y[13], y[15], y[2]) -1*v_43(k, M, y[10], y[7], y[9], y[0]) -1*v_45(k, M, y[10], y[7], y[13], y[2]) -1*v_47(k, M, y[16], y[7], y[9], y[0]) -1*v_49(k, M, y[5], y[7], y[23], y[22]) -1*v_51(k, M, y[7], y[22], y[2], y[24]) -1*v_53(k, M, y[7], y[8], y[23], y[9]) -1*v_55(k, M, y[7], y[23], y[22], y[2]) -1*v_57(k, M, y[7], y[8], y[9], y[1]) -1*v_59(k, M, y[7], y[22], y[2], y[1]) -1*v_61(k, M, y[17], y[7], y[18], y[2]) -1*v_63(k, M, y[17], y[7], y[19], y[2]) -1*v_65(k, M, y[17], y[7], y[4], y[2]) -1*v_67(k, M, y[7], y[19], y[2], y[6]) -1*v_69(k, M, y[7], y[4], y[2], y[6]) -1*v_71(k, M, y[20], y[7], y[9], y[2]) -1*v_73(k, M, y[7], y[9], y[2]) -1*v_75(k, M, y[7], y[9], y[2]) +1*v_117(k, M, y[7], y[13], y[9], y[6]) +1*v_145(k, M, y[10], y[9], y[7], y[4]) +1*v_165(k, M, y[16], y[9], y[7], y[19]) -1*v_331(k, M, y[27], y[36], y[7], y[2]) +1*v_335(k, M, y[27], y[7], y[35], y[2]) +1*v_365(k, M, y[10], y[17], y[7], y[33]) -1*v_431(k, M, y[25], y[7], y[3], y[5]) +1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) +1*v_445(k, M, y[18], y[7], y[9], y[44]) -1*v_455(k, M, y[28], y[7], y[1]) -1*v_457(k, M, y[17], y[7], y[44]) -1*v_459(k, M, y[5], y[7], y[9]) +1*v_465(k, M, y[7], y[9], y[2]) +1*v_487(k, M, y[10], y[7], y[6]) +1*v_501(k, M, y[16], y[7], y[6]) -1*v_619(k, M, y[7], y[9], y[2]) +1*v_623(k, M, y[7], y[9], y[5]) +1*v_637(k, M, y[17], y[7], y[44])
NCO	8	 -1*v_7(k, M, y[10], y[8], y[11], y[9]) +1*v_53(k, M, y[7], y[8], y[23], y[9]) +1*v_57(k, M, y[7], y[8], y[9], y[1]) +1*v_89(k, M, y[14], y[8], y[13], y[9]) -1*v_327(k, M, y[27], y[3], y[0], y[8]) +1*v_337(k, M, y[27], y[14], y[10], y[8]) -1*v_339(k, M, y[10], y[3], y[8], y[2]) -1*v_341(k, M, y[8], y[9], y[22], y[2]) -1*v_343(k, M, y[30], y[3], y[0], y[8]) +1*v_479(k, M, y[10], y[14], y[8]) +1*v_493(k, M, y[16], y[14], y[8]) +1*v_655(k, M, y[50], y[8], y[9])
H	9	 -1*v_7(k, M, y[10], y[8], y[11], y[9]) +1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) -1*v_31(k, M, y[7], y[20], y[9], y[5]) +1*v_43(k, M, y[10], y[7], y[9], y[0]) +1*v_47(k, M, y[16], y[7], y[9], y[0]) +1*v_53(k, M, y[7], y[8], y[23], y[9]) +1*v_57(k, M, y[7], y[8], y[9], y[1]) -1*v_71(k, M, y[20], y[7], y[9], y[2]) -1*v_73(k, M, y[7], y[9], y[2]) +1*v_73(k, M, y[7], y[9], y[2]) +1*v_73(k, M, y[7], y[9], y[2]) +1*v_75(k, M, y[7], y[9], y[2]) +1*v_77(k, M, y[0], y[13], y[9], y[2]) +1*v_83(k, M, y[25], y[9], y[15], y[1]) +1*v_85(k, M, y[5], y[9], y[15], y[6]) +1*v_87(k, M, y[26], y[9], y[13], y[11]) +1*v_89(k, M, y[14], y[8], y[13], y[9]) +1*v_95(k, M, y[10], y[13], y[9], y[27]) +1*v_97(k, M, y[16], y[13], y[9], y[27]) +1*v_99(k, M, y[25], y[9], y[13], y[22]) +1*v_103(k, M, y[23], y[3], y[13], y[9]) +1*v_105(k, M, y[3], y[13], y[9], y[1]) +1*v_111(k, M, y[5], y[9], y[13], y[19]) +1*v_115(k, M, y[5], y[9], y[13], y[4]) +1*v_117(k, M, y[7], y[13], y[9], y[6]) +1*v_121(k, M, y[13], y[9], y[2], y[6]) +1*v_121(k, M, y[13], y[9], y[2], y[6]) +1*v_123(k, M, y[20], y[9], y[13], y[15]) +1*v_125(k, M, y[10], y[21], y[9], y[28]) +1*v_133(k, M, y[10], y[9], y[3], y[22]) +1*v_139(k, M, y[10], y[17], y[9], y[5]) +1*v_141(k, M, y[10], y[9], y[19], y[2]) +1*v_141(k, M, y[10], y[9], y[19], y[2]) +1*v_145(k, M, y[10], y[9], y[7], y[4]) +1*v_147(k, M, y[10], y[9], y[2], y[6]) +1*v_151(k, M, y[10], y[20], y[13], y[9]) +1*v_155(k, M, y[16], y[21], y[9], y[28]) +1*v_163(k, M, y[16], y[17], y[9], y[5]) +1*v_165(k, M, y[16], y[9], y[7], y[19]) +1*v_167(k, M, y[16], y[9], y[4], y[2]) +1*v_167(k, M, y[16], y[9], y[4], y[2]) +1*v_171(k, M, y[16], y[9], y[2], y[6]) +1*v_173(k, M, y[16], y[20], y[13], y[9]) +1*v_185(k, M, y[31], y[21], y[9], y[6]) -1*v_191(k, M, y[20], y[21], y[9], y[11]) +1*v_193(k, M, y[9], y[21], y[11]) +1*v_195(k, M, y[14], y[32], y[11], y[9]) +1*v_199(k, M, y[9], y[31], y[11], y[4]) -1*v_201(k, M, y[11], y[9]) +1*v_201(k, M, y[11], y[9]) +1*v_217(k, M, y[14], y[20], y[11], y[9]) +1*v_219(k, M, y[30], y[9], y[22]) +1*v_219(k, M, y[30], y[9], y[22]) +1*v_223(k, M, y[30], y[9], y[23], y[22]) +1*v_225(k, M, y[30], y[9], y[22], y[1]) +1*v_229(k, M, y[9], y[19], y[21], y[22]) +1*v_231(k, M, y[9], y[4], y[21], y[22]) +1*v_233(k, M, y[9], y[11], y[22], y[6]) -1*v_235(k, M, y[20], y[9], y[23], y[22]) +1*v_237(k, M, y[21], y[17], y[23], y[9]) +1*v_239(k, M, y[9], y[23], y[19], y[11]) +1*v_241(k, M, y[14], y[9], y[23], y[4]) +1*v_241(k, M, y[14], y[9], y[23], y[4]) +1*v_243(k, M, y[14], y[23], y[9], y[6]) +1*v_247(k, M, y[17], y[21], y[9], y[1]) +1*v_249(k, M, y[9], y[11], y[19], y[1]) +1*v_251(k, M, y[14], y[9], y[19], y[1]) +1*v_251(k, M, y[14], y[9], y[19], y[1]) +1*v_253(k, M, y[9], y[11], y[4], y[1]) +1*v_255(k, M, y[14], y[6], y[9], y[1]) +1*v_257(k, M, y[20], y[9], y[22], y[1]) +1*v_261(k, M, y[18], y[9], y[33], y[6]) -1*v_263(k, M, y[18], y[9], y[20], y[17]) +1*v_267(k, M, y[17], y[9], y[19], y[33]) +1*v_269(k, M, y[17], y[9], y[4], y[33]) +1*v_273(k, M, y[17], y[9], y[34], y[6]) +1*v_273(k, M, y[17], y[9], y[34], y[6]) -1*v_275(k, M, y[17], y[19], y[9], y[20]) +1*v_279(k, M, y[9], y[4], y[19], y[34]) +1*v_279(k, M, y[9], y[4], y[19], y[34]) +1*v_281(k, M, y[9], y[19], y[34], y[6]) +1*v_283(k, M, y[9], y[35], y[19], y[6]) +1*v_283(k, M, y[9], y[35], y[19], y[6]) -1*v_285(k, M, y[20], y[9], y[19], y[6]) +1*v_289(k, M, y[9], y[4], y[34], y[6]) +1*v_291(k, M, y[20], y[9], y[4], y[17]) -1*v_293(k, M, y[20], y[9], y[4], y[6]) -1*v_295(k, M, y[9], y[19], y[4]) +1*v_295(k, M, y[9], y[19], y[4]) +1*v_297(k, M, y[35], y[9], y[6]) -1*v_299(k, M, y[29], y[9], y[20], y[6]) -1*v_307(k, M, y[10], y[36], y[9], y[15]) -1*v_309(k, M, y[36], y[13], y[9]) -1*v_311(k, M, y[27], y[20], y[36], y[9]) -1*v_315(k, M, y[19], y[37], y[9], y[2]) +1*v_317(k, M, y[10], y[37], y[9], y[2]) -1*v_341(k, M, y[8], y[9], y[22], y[2]) +1*v_351(k, M, y[20], y[35], y[9], y[34]) +1*v_361(k, M, y[14], y[38], y[9], y[34]) +1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) +1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) +1*v_375(k, M, y[14], y[9], y[33], y[39]) +1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) +1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) +1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) -1*v_383(k, M, y[40], y[20], y[9], y[33]) +1*v_383(k, M, y[40], y[20], y[9], y[33]) +1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) +1*v_389(k, M, y[40], y[41], y[9], y[6]) +1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) +1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) +1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) +1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) +1*v_403(k, M, y[35], y[11], y[9], y[38]) +1*v_405(k, M, y[10], y[25], y[9], y[24]) +1*v_419(k, M, y[20], y[9], y[24], y[43]) +1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) -1*v_427(k, M, y[25], y[3], y[9], y[20]) -1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) -1*v_445(k, M, y[18], y[7], y[9], y[44]) +1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) +1*v_451(k, M, y[9], y[46], y[33], y[1]) +1*v_453(k, M, y[41], y[14], y[9], y[34], y[46]) -1*v_459(k, M, y[5], y[7], y[9]) -1*v_465(k, M, y[7], y[9], y[2]) -1*v_477(k, M, y[13], y[9], y[15]) -1*v_489(k, M, y[10], y[13], y[9]) -1*v_505(k, M, y[16], y[13], y[9]) -1*v_519(k, M, y[14], y[9], y[11]) -1*v_525(k, M, y[23], y[9], y[22]) -1*v_533(k, M, y[9], y[22], y[1]) -1*v_539(k, M, y[17], y[9], y[18]) -1*v_543(k, M, y[17], y[9], y[19]) -1*v_549(k, M, y[17], y[9], y[4]) -1*v_555(k, M, y[19], y[9], y[6]) -1*v_557(k, M, y[4], y[9], y[6]) -1*v_559(k, M, y[20], y[9]) -1*v_559(k, M, y[20], y[9]) -1*v_565(k, M, y[35], y[9], y[34]) -1*v_569(k, M, y[27], y[36], y[9]) +1*v_573(k, M, y[9], y[13], y[15]) +1*v_577(k, M, y[10], y[9], y[15]) +1*v_577(k, M, y[10], y[9], y[15]) +1*v_579(k, M, y[18], y[9], y[17]) +1*v_583(k, M, y[18], y[9], y[4]) +1*v_583(k, M, y[18], y[9], y[4]) +1*v_585(k, M, y[18], y[9], y[20], y[6]) +1*v_589(k, M, y[17], y[9], y[4]) +1*v_593(k, M, y[20], y[9]) +1*v_593(k, M, y[20], y[9]) +1*v_595(k, M, y[35], y[9], y[34]) +1*v_603(k, M, y[9], y[33], y[34]) +1*v_603(k, M, y[9], y[33], y[34]) +1*v_605(k, M, y[9], y[33], y[48]) +1*v_609(k, M, y[40], y[9], y[33]) +1*v_609(k, M, y[40], y[9], y[33]) +1*v_617(k, M, y[10], y[13], y[9]) +1*v_619(k, M, y[7], y[9], y[2]) +1*v_623(k, M, y[7], y[9], y[5]) +1*v_633(k, M, y[45], y[9], y[49]) +1*v_645(k, M, y[9], y[24], y[43]) +1*v_647(k, M, y[9], y[22], y[43]) +1*v_647(k, M, y[9], y[22], y[43]) +1*v_649(k, M, y[14], y[11], y[9]) +1*v_655(k, M, y[50], y[8], y[9]) +1*v_657(k, M, y[9], y[19], y[6]) +1*v_659(k, M, y[29], y[9], y[6])
O	10	 +1*v_7(k, M, y[10], y[8], y[11], y[9]) -1*v_17(k, M, y[10], y[7], y[13], y[5]) -1*v_43(k, M, y[10], y[7], y[9], y[0]) -1*v_45(k, M, y[10], y[7], y[13], y[2]) +1*v_91(k, M, y[14], y[10], y[13], y[11]) +1*v_93(k, M, y[10], y[13], y[15]) -1*v_95(k, M, y[10], y[13], y[9], y[27]) -1*v_125(k, M, y[10], y[21], y[9], y[28]) -1*v_127(k, M, y[10], y[13], y[21], y[11]) -1*v_129(k, M, y[10], y[14], y[23], y[2]) -1*v_131(k, M, y[10], y[14], y[2], y[1]) -1*v_133(k, M, y[10], y[9], y[3], y[22]) -1*v_135(k, M, y[10], y[23], y[13], y[22]) -1*v_137(k, M, y[10], y[18], y[13], y[17]) -1*v_139(k, M, y[10], y[17], y[9], y[5]) -1*v_141(k, M, y[10], y[9], y[19], y[2]) -1*v_143(k, M, y[10], y[20], y[19], y[2]) -1*v_145(k, M, y[10], y[9], y[7], y[4]) -1*v_147(k, M, y[10], y[9], y[2], y[6]) -1*v_149(k, M, y[10], y[29], y[13], y[6]) -1*v_151(k, M, y[10], y[20], y[13], y[9]) +1*v_153(k, M, y[16], y[10], y[21]) +1*v_301(k, M, y[27], y[29], y[10], y[2]) +1*v_303(k, M, y[14], y[29], y[3], y[10]) -1*v_305(k, M, y[10], y[36], y[13], y[27]) +1*v_307(k, M, y[10], y[36], y[9], y[15]) -1*v_317(k, M, y[10], y[37], y[9], y[2]) -1*v_323(k, M, y[10], y[35], y[2], y[6]) +1*v_333(k, M, y[27], y[35], y[37], y[10]) +1*v_337(k, M, y[27], y[14], y[10], y[8]) -1*v_339(k, M, y[10], y[3], y[8], y[2]) +1*v_345(k, M, y[30], y[3], y[23], y[10]) +1*v_347(k, M, y[30], y[3], y[10], y[1]) +1*v_349(k, M, y[27], y[3], y[23], y[10]) +1*v_353(k, M, y[10], y[35], y[13], y[34]) -1*v_359(k, M, y[10], y[19], y[34], y[2]) -1*v_365(k, M, y[10], y[17], y[7], y[33]) -1*v_367(k, M, y[10], y[19], y[5], y[33]) -1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) +1*v_399(k, M, y[40], y[10], y[16]) -1*v_405(k, M, y[10], y[25], y[9], y[24]) -1*v_407(k, M, y[10], y[13], y[22], y[24]) -1*v_409(k, M, y[10], y[20], y[3], y[24]) -1*v_425(k, M, y[10], y[25], y[3], y[13]) -1*v_435(k, M, y[10], y[13], y[24], y[43]) -1*v_471(k, M, y[10], y[36], y[13]) -1*v_479(k, M, y[10], y[14], y[8]) -1*v_481(k, M, y[10], y[27]) -1*v_481(k, M, y[10], y[27]) -1*v_483(k, M, y[10], y[3], y[23]) -1*v_485(k, M, y[10], y[5], y[19]) -1*v_487(k, M, y[10], y[7], y[6]) -1*v_489(k, M, y[10], y[13], y[9]) +1*v_507(k, M, y[16], y[10]) +1*v_577(k, M, y[10], y[9], y[15]) +1*v_591(k, M, y[10], y[29], y[2]) +1*v_597(k, M, y[10], y[0], y[2]) +1*v_617(k, M, y[10], y[13], y[9]) +1*v_625(k, M, y[27], y[10]) +1*v_625(k, M, y[27], y[10]) +1*v_627(k, M, y[27], y[10], y[16]) +1*v_639(k, M, y[10], y[36], y[13]) +1*v_651(k, M, y[10], y[3], y[23])
HCN	11	 +1*v_7(k, M, y[10], y[8], y[11], y[9]) +1*v_11(k, M, y[14], y[7], y[11], y[5]) +1*v_33(k, M, y[7], y[21], y[5], y[11]) +1*v_39(k, M, y[14], y[7], y[11], y[2]) +1*v_81(k, M, y[14], y[13], y[15], y[11]) -1*v_87(k, M, y[26], y[9], y[13], y[11]) +1*v_91(k, M, y[14], y[10], y[13], y[11]) +1*v_127(k, M, y[10], y[13], y[21], y[11]) +1*v_157(k, M, y[16], y[13], y[21], y[11]) +1*v_175(k, M, y[21], y[22], y[11], y[24]) +1*v_179(k, M, y[23], y[21], y[11], y[22]) +1*v_187(k, M, y[19], y[21], y[11], y[6]) +1*v_189(k, M, y[4], y[21], y[11], y[6]) +1*v_191(k, M, y[20], y[21], y[9], y[11]) +1*v_193(k, M, y[9], y[21], y[11]) -1*v_195(k, M, y[14], y[32], y[11], y[9]) -1*v_197(k, M, y[30], y[6], y[11], y[1]) -1*v_199(k, M, y[9], y[31], y[11], y[4]) -1*v_201(k, M, y[11], y[9]) +1*v_201(k, M, y[11], y[9]) +1*v_203(k, M, y[14], y[23], y[11], y[22]) +1*v_211(k, M, y[14], y[18], y[11], y[17]) +1*v_213(k, M, y[14], y[17], y[11], y[19]) +1*v_215(k, M, y[14], y[29], y[11], y[6]) +1*v_217(k, M, y[14], y[20], y[11], y[9]) +1*v_233(k, M, y[9], y[11], y[22], y[6]) +1*v_239(k, M, y[9], y[23], y[19], y[11]) +1*v_249(k, M, y[9], y[11], y[19], y[1]) +1*v_253(k, M, y[9], y[11], y[4], y[1]) +1*v_319(k, M, y[0], y[3], y[37], y[11]) +1*v_363(k, M, y[14], y[35], y[11], y[34]) +1*v_369(k, M, y[17], y[23], y[11], y[33]) +1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) +1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) -1*v_403(k, M, y[35], y[11], y[9], y[38]) +1*v_433(k, M, y[14], y[25], y[3], y[11]) +1*v_439(k, M, y[14], y[11], y[24], y[43]) +1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) -1*v_491(k, M, y[16], y[28], y[11]) -1*v_509(k, M, y[31], y[11], y[6]) +1*v_519(k, M, y[14], y[9], y[11]) -1*v_649(k, M, y[14], y[11], y[9]) -1*v_663(k, M, y[52], y[11])
H2O2	12	 -1*v_9(k, M, y[12], y[13]) +1*v_469(k, M, y[12], y[13]) -1*v_641(k, M, y[12], y[13])
OH	13	 +1*v_9(k, M, y[12], y[13]) +1*v_9(k, M, y[12], y[13]) -1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) -1*v_15(k, M, y[7], y[13], y[5], y[15]) +1*v_17(k, M, y[10], y[7], y[13], y[5]) +1*v_19(k, M, y[16], y[7], y[13], y[5]) -1*v_41(k, M, y[7], y[13], y[15], y[2]) +1*v_45(k, M, y[10], y[7], y[13], y[2]) -1*v_77(k, M, y[0], y[13], y[9], y[2]) +1*v_79(k, M, y[16], y[13], y[15]) +1*v_79(k, M, y[16], y[13], y[15]) +1*v_81(k, M, y[14], y[13], y[15], y[11]) -1*v_87(k, M, y[26], y[9], y[13], y[11]) -1*v_89(k, M, y[14], y[8], y[13], y[9]) -1*v_91(k, M, y[14], y[10], y[13], y[11]) -1*v_93(k, M, y[10], y[13], y[15]) -1*v_93(k, M, y[10], y[13], y[15]) -1*v_95(k, M, y[10], y[13], y[9], y[27]) -1*v_97(k, M, y[16], y[13], y[9], y[27]) -1*v_99(k, M, y[25], y[9], y[13], y[22]) -1*v_101(k, M, y[23], y[13], y[22], y[15]) -1*v_103(k, M, y[23], y[3], y[13], y[9]) -1*v_105(k, M, y[3], y[13], y[9], y[1]) -1*v_107(k, M, y[18], y[13], y[15], y[17]) -1*v_109(k, M, y[17], y[19], y[13], y[15]) -1*v_111(k, M, y[5], y[9], y[13], y[19]) -1*v_113(k, M, y[13], y[19], y[15], y[6]) -1*v_115(k, M, y[5], y[9], y[13], y[4]) -1*v_117(k, M, y[7], y[13], y[9], y[6]) -1*v_119(k, M, y[20], y[13], y[2], y[6]) -1*v_121(k, M, y[13], y[9], y[2], y[6]) -1*v_123(k, M, y[20], y[9], y[13], y[15]) +1*v_127(k, M, y[10], y[13], y[21], y[11]) +1*v_135(k, M, y[10], y[23], y[13], y[22]) +1*v_137(k, M, y[10], y[18], y[13], y[17]) +1*v_149(k, M, y[10], y[29], y[13], y[6]) +1*v_151(k, M, y[10], y[20], y[13], y[9]) +1*v_157(k, M, y[16], y[13], y[21], y[11]) +1*v_161(k, M, y[16], y[18], y[13], y[17]) +1*v_173(k, M, y[16], y[20], y[13], y[9]) +1*v_305(k, M, y[10], y[36], y[13], y[27]) +1*v_309(k, M, y[36], y[13], y[9]) +1*v_309(k, M, y[36], y[13], y[9]) -1*v_313(k, M, y[27], y[36], y[13], y[15]) +1*v_329(k, M, y[27], y[13], y[2], y[6]) -1*v_353(k, M, y[10], y[35], y[13], y[34]) -1*v_355(k, M, y[35], y[13], y[19], y[2]) +1*v_357(k, M, y[36], y[35], y[13], y[37]) -1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) +1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) -1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) +1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) +1*v_407(k, M, y[10], y[13], y[22], y[24]) -1*v_413(k, M, y[22], y[13], y[15], y[24]) +1*v_425(k, M, y[10], y[25], y[3], y[13]) -1*v_429(k, M, y[25], y[3], y[13], y[15]) +1*v_435(k, M, y[10], y[13], y[24], y[43]) -1*v_437(k, M, y[13], y[15], y[24], y[43]) -1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) -1*v_467(k, M, y[14], y[13], y[26]) -1*v_469(k, M, y[12], y[13]) -1*v_469(k, M, y[12], y[13]) -1*v_471(k, M, y[10], y[36], y[13]) -1*v_473(k, M, y[16], y[36], y[13]) -1*v_475(k, M, y[17], y[13], y[45]) -1*v_477(k, M, y[13], y[9], y[15]) +1*v_489(k, M, y[10], y[13], y[9]) +1*v_505(k, M, y[16], y[13], y[9]) +1*v_573(k, M, y[9], y[13], y[15]) -1*v_617(k, M, y[10], y[13], y[9]) +1*v_629(k, M, y[45], y[13], y[17]) +1*v_639(k, M, y[10], y[36], y[13]) +1*v_641(k, M, y[12], y[13]) +1*v_641(k, M, y[12], y[13])
CN	14	 -1*v_11(k, M, y[14], y[7], y[11], y[5]) -1*v_39(k, M, y[14], y[7], y[11], y[2]) -1*v_81(k, M, y[14], y[13], y[15], y[11]) -1*v_89(k, M, y[14], y[8], y[13], y[9]) -1*v_91(k, M, y[14], y[10], y[13], y[11]) -1*v_129(k, M, y[10], y[14], y[23], y[2]) -1*v_131(k, M, y[10], y[14], y[2], y[1]) -1*v_159(k, M, y[16], y[14], y[2], y[1]) -1*v_195(k, M, y[14], y[32], y[11], y[9]) -1*v_203(k, M, y[14], y[23], y[11], y[22]) -1*v_205(k, M, y[14], y[30], y[22], y[6]) -1*v_207(k, M, y[14], y[29], y[30], y[23]) -1*v_209(k, M, y[14], y[29], y[30], y[1]) -1*v_211(k, M, y[14], y[18], y[11], y[17]) -1*v_213(k, M, y[14], y[17], y[11], y[19]) -1*v_215(k, M, y[14], y[29], y[11], y[6]) -1*v_217(k, M, y[14], y[20], y[11], y[9]) +1*v_241(k, M, y[14], y[9], y[23], y[4]) +1*v_243(k, M, y[14], y[23], y[9], y[6]) +1*v_251(k, M, y[14], y[9], y[19], y[1]) +1*v_255(k, M, y[14], y[6], y[9], y[1]) +1*v_303(k, M, y[14], y[29], y[3], y[10]) -1*v_337(k, M, y[27], y[14], y[10], y[8]) -1*v_361(k, M, y[14], y[38], y[9], y[34]) -1*v_363(k, M, y[14], y[35], y[11], y[34]) -1*v_375(k, M, y[14], y[9], y[33], y[39]) -1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) -1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) -1*v_433(k, M, y[14], y[25], y[3], y[11]) -1*v_439(k, M, y[14], y[11], y[24], y[43]) -1*v_453(k, M, y[41], y[14], y[9], y[34], y[46]) -1*v_467(k, M, y[14], y[13], y[26]) -1*v_479(k, M, y[10], y[14], y[8]) -1*v_493(k, M, y[16], y[14], y[8]) -1*v_511(k, M, y[14], y[32]) -1*v_511(k, M, y[14], y[32]) -1*v_513(k, M, y[14], y[17], y[46]) -1*v_515(k, M, y[14], y[31], y[19]) -1*v_517(k, M, y[14], y[31], y[4]) -1*v_519(k, M, y[14], y[9], y[11]) +1*v_649(k, M, y[14], y[11], y[9])
H2O	15	 +1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) +1*v_15(k, M, y[7], y[13], y[5], y[15]) +1*v_41(k, M, y[7], y[13], y[15], y[2]) -1*v_79(k, M, y[16], y[13], y[15]) -1*v_81(k, M, y[14], y[13], y[15], y[11]) -1*v_83(k, M, y[25], y[9], y[15], y[1]) -1*v_85(k, M, y[5], y[9], y[15], y[6]) +1*v_93(k, M, y[10], y[13], y[15]) +1*v_101(k, M, y[23], y[13], y[22], y[15]) +1*v_107(k, M, y[18], y[13], y[15], y[17]) +1*v_109(k, M, y[17], y[19], y[13], y[15]) +1*v_113(k, M, y[13], y[19], y[15], y[6]) +1*v_123(k, M, y[20], y[9], y[13], y[15]) +1*v_307(k, M, y[10], y[36], y[9], y[15]) +1*v_313(k, M, y[27], y[36], y[13], y[15]) +1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) +1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) +1*v_411(k, M, y[30], y[3], y[15], y[24]) +1*v_413(k, M, y[22], y[13], y[15], y[24]) +1*v_415(k, M, y[25], y[36], y[15], y[24]) +1*v_429(k, M, y[25], y[3], y[13], y[15]) +1*v_437(k, M, y[13], y[15], y[24], y[43]) +1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) +1*v_477(k, M, y[13], y[9], y[15]) +1*v_503(k, M, y[16], y[20], y[15]) -1*v_571(k, M, y[47], y[15]) -1*v_573(k, M, y[9], y[13], y[15]) -1*v_575(k, M, y[16], y[20], y[15]) -1*v_577(k, M, y[10], y[9], y[15])
O_1	16	 -1*v_19(k, M, y[16], y[7], y[13], y[5]) -1*v_47(k, M, y[16], y[7], y[9], y[0]) -1*v_79(k, M, y[16], y[13], y[15]) -1*v_97(k, M, y[16], y[13], y[9], y[27]) -1*v_153(k, M, y[16], y[10], y[21]) -1*v_155(k, M, y[16], y[21], y[9], y[28]) -1*v_157(k, M, y[16], y[13], y[21], y[11]) -1*v_159(k, M, y[16], y[14], y[2], y[1]) -1*v_161(k, M, y[16], y[18], y[13], y[17]) -1*v_163(k, M, y[16], y[17], y[9], y[5]) -1*v_165(k, M, y[16], y[9], y[7], y[19]) -1*v_167(k, M, y[16], y[9], y[4], y[2]) -1*v_169(k, M, y[16], y[20], y[4], y[2]) -1*v_171(k, M, y[16], y[9], y[2], y[6]) -1*v_173(k, M, y[16], y[20], y[13], y[9]) -1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) -1*v_399(k, M, y[40], y[10], y[16]) -1*v_461(k, M, y[16], y[0], y[2]) -1*v_473(k, M, y[16], y[36], y[13]) -1*v_491(k, M, y[16], y[28], y[11]) -1*v_493(k, M, y[16], y[14], y[8]) -1*v_495(k, M, y[16], y[27]) -1*v_495(k, M, y[16], y[27]) -1*v_497(k, M, y[16], y[18], y[45]) -1*v_499(k, M, y[16], y[5], y[4]) -1*v_501(k, M, y[16], y[7], y[6]) -1*v_503(k, M, y[16], y[20], y[15]) -1*v_505(k, M, y[16], y[13], y[9]) -1*v_507(k, M, y[16], y[10]) +1*v_575(k, M, y[16], y[20], y[15]) +1*v_599(k, M, y[16], y[0], y[2]) +1*v_627(k, M, y[27], y[10], y[16])
CH3	17	 -1*v_21(k, M, y[17], y[7], y[18], y[5]) +1*v_23(k, M, y[17], y[7], y[19], y[5]) +1*v_25(k, M, y[7], y[17], y[4], y[5]) +1*v_27(k, M, y[17], y[5], y[2], y[6]) -1*v_61(k, M, y[17], y[7], y[18], y[2]) +1*v_63(k, M, y[17], y[7], y[19], y[2]) +1*v_65(k, M, y[17], y[7], y[4], y[2]) +1*v_107(k, M, y[18], y[13], y[15], y[17]) -1*v_109(k, M, y[17], y[19], y[13], y[15]) +1*v_137(k, M, y[10], y[18], y[13], y[17]) -1*v_139(k, M, y[10], y[17], y[9], y[5]) +1*v_161(k, M, y[16], y[18], y[13], y[17]) -1*v_163(k, M, y[16], y[17], y[9], y[5]) +1*v_211(k, M, y[14], y[18], y[11], y[17]) -1*v_213(k, M, y[14], y[17], y[11], y[19]) -1*v_227(k, M, y[17], y[21], y[22], y[20]) -1*v_237(k, M, y[21], y[17], y[23], y[9]) -1*v_247(k, M, y[17], y[21], y[9], y[1]) +1*v_259(k, M, y[18], y[4], y[17]) +1*v_259(k, M, y[18], y[4], y[17]) +1*v_263(k, M, y[18], y[9], y[20], y[17]) -1*v_265(k, M, y[17], y[19], y[18]) -1*v_265(k, M, y[17], y[19], y[18]) -1*v_267(k, M, y[17], y[9], y[19], y[33]) -1*v_269(k, M, y[17], y[9], y[4], y[33]) -1*v_271(k, M, y[17], y[33], y[6]) -1*v_273(k, M, y[17], y[9], y[34], y[6]) -1*v_275(k, M, y[17], y[19], y[9], y[20]) +1*v_291(k, M, y[20], y[9], y[4], y[17]) +1*v_325(k, M, y[18], y[35], y[34], y[17]) +1*v_365(k, M, y[10], y[17], y[7], y[33]) +1*v_369(k, M, y[17], y[23], y[11], y[33]) -1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) +1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) +1*v_387(k, M, y[40], y[17], y[33], y[6]) -1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) +1*v_423(k, M, y[17], y[18], y[24], y[43]) +1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) +1*v_447(k, M, y[45], y[25], y[23], y[17]) -1*v_457(k, M, y[17], y[7], y[44]) -1*v_475(k, M, y[17], y[13], y[45]) -1*v_513(k, M, y[14], y[17], y[46]) -1*v_537(k, M, y[40], y[17]) -1*v_537(k, M, y[40], y[17]) -1*v_539(k, M, y[17], y[9], y[18]) +1*v_543(k, M, y[17], y[9], y[19]) +1*v_549(k, M, y[17], y[9], y[4]) +1*v_553(k, M, y[20], y[17], y[6]) +1*v_579(k, M, y[18], y[9], y[17]) -1*v_587(k, M, y[17], y[20], y[6]) -1*v_589(k, M, y[17], y[9], y[4]) +1*v_615(k, M, y[40], y[17]) +1*v_615(k, M, y[40], y[17]) +1*v_629(k, M, y[45], y[13], y[17]) +1*v_637(k, M, y[17], y[7], y[44])
CH4	18	 +1*v_21(k, M, y[17], y[7], y[18], y[5]) +1*v_61(k, M, y[17], y[7], y[18], y[2]) -1*v_107(k, M, y[18], y[13], y[15], y[17]) -1*v_137(k, M, y[10], y[18], y[13], y[17]) -1*v_161(k, M, y[16], y[18], y[13], y[17]) -1*v_211(k, M, y[14], y[18], y[11], y[17]) -1*v_245(k, M, y[18], y[21], y[20], y[1]) -1*v_259(k, M, y[18], y[4], y[17]) -1*v_261(k, M, y[18], y[9], y[33], y[6]) -1*v_263(k, M, y[18], y[9], y[20], y[17]) +1*v_265(k, M, y[17], y[19], y[18]) -1*v_325(k, M, y[18], y[35], y[34], y[17]) +1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) +1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) -1*v_423(k, M, y[17], y[18], y[24], y[43]) +1*v_445(k, M, y[18], y[7], y[9], y[44]) -1*v_497(k, M, y[16], y[18], y[45]) -1*v_535(k, M, y[40], y[18], y[4]) +1*v_539(k, M, y[17], y[9], y[18]) +1*v_547(k, M, y[20], y[4], y[18]) -1*v_579(k, M, y[18], y[9], y[17]) -1*v_581(k, M, y[18], y[4], y[20]) -1*v_583(k, M, y[18], y[9], y[4]) -1*v_585(k, M, y[18], y[9], y[20], y[6]) +1*v_613(k, M, y[40], y[18], y[4]) +1*v_635(k, M, y[18], y[2], y[44])
CH2	19	 -1*v_23(k, M, y[17], y[7], y[19], y[5]) +1*v_29(k, M, y[7], y[19], y[5], y[6]) -1*v_63(k, M, y[17], y[7], y[19], y[2]) +1*v_67(k, M, y[7], y[19], y[2], y[6]) +1*v_109(k, M, y[17], y[19], y[13], y[15]) -1*v_111(k, M, y[5], y[9], y[13], y[19]) -1*v_113(k, M, y[13], y[19], y[15], y[6]) -1*v_141(k, M, y[10], y[9], y[19], y[2]) -1*v_143(k, M, y[10], y[20], y[19], y[2]) -1*v_165(k, M, y[16], y[9], y[7], y[19]) +1*v_177(k, M, y[23], y[30], y[21], y[19]) +1*v_181(k, M, y[30], y[21], y[19], y[1]) +1*v_187(k, M, y[19], y[21], y[11], y[6]) +1*v_213(k, M, y[14], y[17], y[11], y[19]) -1*v_229(k, M, y[9], y[19], y[21], y[22]) -1*v_239(k, M, y[9], y[23], y[19], y[11]) -1*v_249(k, M, y[9], y[11], y[19], y[1]) -1*v_251(k, M, y[14], y[9], y[19], y[1]) +1*v_265(k, M, y[17], y[19], y[18]) -1*v_267(k, M, y[17], y[9], y[19], y[33]) +1*v_275(k, M, y[17], y[19], y[9], y[20]) -1*v_277(k, M, y[20], y[19], y[34]) -1*v_277(k, M, y[20], y[19], y[34]) -1*v_279(k, M, y[9], y[4], y[19], y[34]) -1*v_281(k, M, y[9], y[19], y[34], y[6]) -1*v_283(k, M, y[9], y[35], y[19], y[6]) -1*v_285(k, M, y[20], y[9], y[19], y[6]) +1*v_295(k, M, y[9], y[19], y[4]) +1*v_315(k, M, y[19], y[37], y[9], y[2]) +1*v_355(k, M, y[35], y[13], y[19], y[2]) +1*v_359(k, M, y[10], y[19], y[34], y[2]) +1*v_367(k, M, y[10], y[19], y[5], y[33]) -1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) -1*v_485(k, M, y[10], y[5], y[19]) -1*v_515(k, M, y[14], y[31], y[19]) -1*v_521(k, M, y[21], y[23], y[19]) -1*v_527(k, M, y[21], y[19], y[1]) -1*v_541(k, M, y[19], y[33]) -1*v_541(k, M, y[19], y[33]) -1*v_543(k, M, y[17], y[9], y[19]) +1*v_555(k, M, y[19], y[9], y[6]) +1*v_563(k, M, y[19], y[4]) +1*v_567(k, M, y[29], y[19], y[20]) -1*v_657(k, M, y[9], y[19], y[6])
H2	20	 +1*v_31(k, M, y[7], y[20], y[9], y[5]) +1*v_37(k, M, y[20], y[7], y[2]) +1*v_71(k, M, y[20], y[7], y[9], y[2]) +1*v_119(k, M, y[20], y[13], y[2], y[6]) -1*v_123(k, M, y[20], y[9], y[13], y[15]) +1*v_143(k, M, y[10], y[20], y[19], y[2]) -1*v_151(k, M, y[10], y[20], y[13], y[9]) +1*v_169(k, M, y[16], y[20], y[4], y[2]) -1*v_173(k, M, y[16], y[20], y[13], y[9]) +1*v_191(k, M, y[20], y[21], y[9], y[11]) -1*v_217(k, M, y[14], y[20], y[11], y[9]) +1*v_227(k, M, y[17], y[21], y[22], y[20]) +1*v_235(k, M, y[20], y[9], y[23], y[22]) +1*v_245(k, M, y[18], y[21], y[20], y[1]) -1*v_257(k, M, y[20], y[9], y[22], y[1]) +1*v_263(k, M, y[18], y[9], y[20], y[17]) +1*v_275(k, M, y[17], y[19], y[9], y[20]) +1*v_277(k, M, y[20], y[19], y[34]) +1*v_285(k, M, y[20], y[9], y[19], y[6]) +1*v_287(k, M, y[20], y[4], y[34]) -1*v_291(k, M, y[20], y[9], y[4], y[17]) +1*v_293(k, M, y[20], y[9], y[4], y[6]) +1*v_299(k, M, y[29], y[9], y[20], y[6]) +1*v_311(k, M, y[27], y[20], y[36], y[9]) -1*v_351(k, M, y[20], y[35], y[9], y[34]) +1*v_383(k, M, y[40], y[20], y[9], y[33]) +1*v_409(k, M, y[10], y[20], y[3], y[24]) -1*v_419(k, M, y[20], y[9], y[24], y[43]) +1*v_427(k, M, y[25], y[3], y[9], y[20]) +1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) +1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) -1*v_503(k, M, y[16], y[20], y[15]) -1*v_547(k, M, y[20], y[4], y[18]) -1*v_553(k, M, y[20], y[17], y[6]) +1*v_559(k, M, y[20], y[9]) -1*v_567(k, M, y[29], y[19], y[20]) +1*v_575(k, M, y[16], y[20], y[15]) +1*v_581(k, M, y[18], y[4], y[20]) +1*v_585(k, M, y[18], y[9], y[20], y[6]) +1*v_587(k, M, y[17], y[20], y[6]) -1*v_593(k, M, y[20], y[9]) +1*v_601(k, M, y[20], y[33], y[34]) +1*v_607(k, M, y[40], y[20], y[33]) +1*v_611(k, M, y[40], y[20], y[34]) +1*v_611(k, M, y[40], y[20], y[34]) +1*v_621(k, M, y[20], y[5], y[2]) +1*v_631(k, M, y[45], y[5], y[20])
H2CN	21	 -1*v_33(k, M, y[7], y[21], y[5], y[11]) -1*v_125(k, M, y[10], y[21], y[9], y[28]) -1*v_127(k, M, y[10], y[13], y[21], y[11]) -1*v_153(k, M, y[16], y[10], y[21]) +1*v_153(k, M, y[16], y[10], y[21]) -1*v_155(k, M, y[16], y[21], y[9], y[28]) -1*v_157(k, M, y[16], y[13], y[21], y[11]) -1*v_175(k, M, y[21], y[22], y[11], y[24]) -1*v_177(k, M, y[23], y[30], y[21], y[19]) -1*v_179(k, M, y[23], y[21], y[11], y[22]) -1*v_181(k, M, y[30], y[21], y[19], y[1]) -1*v_183(k, M, y[30], y[21], y[4], y[1]) -1*v_185(k, M, y[31], y[21], y[9], y[6]) -1*v_187(k, M, y[19], y[21], y[11], y[6]) -1*v_189(k, M, y[4], y[21], y[11], y[6]) -1*v_191(k, M, y[20], y[21], y[9], y[11]) -1*v_193(k, M, y[9], y[21], y[11]) +1*v_227(k, M, y[17], y[21], y[22], y[20]) +1*v_229(k, M, y[9], y[19], y[21], y[22]) +1*v_231(k, M, y[9], y[4], y[21], y[22]) +1*v_237(k, M, y[21], y[17], y[23], y[9]) +1*v_245(k, M, y[18], y[21], y[20], y[1]) +1*v_247(k, M, y[17], y[21], y[9], y[1]) +1*v_521(k, M, y[21], y[23], y[19]) +1*v_527(k, M, y[21], y[19], y[1]) +1*v_529(k, M, y[21], y[4], y[1])
NH	22	 -1*v_49(k, M, y[5], y[7], y[23], y[22]) -1*v_51(k, M, y[7], y[22], y[2], y[24]) +1*v_55(k, M, y[7], y[23], y[22], y[2]) +1*v_59(k, M, y[7], y[22], y[2], y[1]) -1*v_99(k, M, y[25], y[9], y[13], y[22]) -1*v_101(k, M, y[23], y[13], y[22], y[15]) -1*v_133(k, M, y[10], y[9], y[3], y[22]) -1*v_135(k, M, y[10], y[23], y[13], y[22]) -1*v_175(k, M, y[21], y[22], y[11], y[24]) +1*v_179(k, M, y[23], y[21], y[11], y[22]) -1*v_203(k, M, y[14], y[23], y[11], y[22]) -1*v_205(k, M, y[14], y[30], y[22], y[6]) -1*v_219(k, M, y[30], y[9], y[22]) -1*v_219(k, M, y[30], y[9], y[22]) -1*v_221(k, M, y[23], y[22], y[24]) -1*v_221(k, M, y[23], y[22], y[24]) -1*v_223(k, M, y[30], y[9], y[23], y[22]) -1*v_225(k, M, y[30], y[9], y[22], y[1]) -1*v_227(k, M, y[17], y[21], y[22], y[20]) -1*v_229(k, M, y[9], y[19], y[21], y[22]) -1*v_231(k, M, y[9], y[4], y[21], y[22]) -1*v_233(k, M, y[9], y[11], y[22], y[6]) -1*v_235(k, M, y[20], y[9], y[23], y[22]) +1*v_257(k, M, y[20], y[9], y[22], y[1]) +1*v_341(k, M, y[8], y[9], y[22], y[2]) +1*v_407(k, M, y[10], y[13], y[22], y[24]) +1*v_413(k, M, y[22], y[13], y[15], y[24]) +1*v_525(k, M, y[23], y[9], y[22]) +1*v_533(k, M, y[9], y[22], y[1]) +1*v_647(k, M, y[9], y[22], y[43]) +1*v_653(k, M, y[50], y[22], y[2])
N	23	 +1*v_49(k, M, y[5], y[7], y[23], y[22]) -1*v_53(k, M, y[7], y[8], y[23], y[9]) -1*v_55(k, M, y[7], y[23], y[22], y[2]) +1*v_101(k, M, y[23], y[13], y[22], y[15]) -1*v_103(k, M, y[23], y[3], y[13], y[9]) +1*v_129(k, M, y[10], y[14], y[23], y[2]) +1*v_135(k, M, y[10], y[23], y[13], y[22]) -1*v_177(k, M, y[23], y[30], y[21], y[19]) -1*v_179(k, M, y[23], y[21], y[11], y[22]) +1*v_203(k, M, y[14], y[23], y[11], y[22]) -1*v_207(k, M, y[14], y[29], y[30], y[23]) +1*v_221(k, M, y[23], y[22], y[24]) -1*v_223(k, M, y[30], y[9], y[23], y[22]) +1*v_235(k, M, y[20], y[9], y[23], y[22]) -1*v_237(k, M, y[21], y[17], y[23], y[9]) -1*v_239(k, M, y[9], y[23], y[19], y[11]) -1*v_241(k, M, y[14], y[9], y[23], y[4]) -1*v_243(k, M, y[14], y[23], y[9], y[6]) -1*v_345(k, M, y[30], y[3], y[23], y[10]) -1*v_349(k, M, y[27], y[3], y[23], y[10]) -1*v_369(k, M, y[17], y[23], y[11], y[33]) -1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) -1*v_447(k, M, y[45], y[25], y[23], y[17]) -1*v_483(k, M, y[10], y[3], y[23]) -1*v_521(k, M, y[21], y[23], y[19]) -1*v_523(k, M, y[30], y[23]) -1*v_523(k, M, y[30], y[23]) -1*v_525(k, M, y[23], y[9], y[22]) +1*v_561(k, M, y[23], y[1]) +1*v_643(k, M, y[30], y[23]) +1*v_643(k, M, y[30], y[23]) +1*v_651(k, M, y[10], y[3], y[23])
NH2	24	 +1*v_51(k, M, y[7], y[22], y[2], y[24]) +1*v_175(k, M, y[21], y[22], y[11], y[24]) +1*v_221(k, M, y[23], y[22], y[24]) -1*v_405(k, M, y[10], y[25], y[9], y[24]) -1*v_407(k, M, y[10], y[13], y[22], y[24]) -1*v_409(k, M, y[10], y[20], y[3], y[24]) -1*v_411(k, M, y[30], y[3], y[15], y[24]) -1*v_413(k, M, y[22], y[13], y[15], y[24]) -1*v_415(k, M, y[25], y[36], y[15], y[24]) -1*v_417(k, M, y[27], y[36], y[24], y[43]) -1*v_419(k, M, y[20], y[9], y[24], y[43]) -1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) -1*v_423(k, M, y[17], y[18], y[24], y[43]) +1*v_435(k, M, y[10], y[13], y[24], y[43]) +1*v_437(k, M, y[13], y[15], y[24], y[43]) +1*v_439(k, M, y[14], y[11], y[24], y[43]) +1*v_645(k, M, y[9], y[24], y[43])
HNO	25	 +1*v_83(k, M, y[25], y[9], y[15], y[1]) +1*v_99(k, M, y[25], y[9], y[13], y[22]) +1*v_405(k, M, y[10], y[25], y[9], y[24]) +1*v_415(k, M, y[25], y[36], y[15], y[24]) -1*v_425(k, M, y[10], y[25], y[3], y[13]) -1*v_427(k, M, y[25], y[3], y[9], y[20]) -1*v_429(k, M, y[25], y[3], y[13], y[15]) -1*v_431(k, M, y[25], y[7], y[3], y[5]) -1*v_433(k, M, y[14], y[25], y[3], y[11]) +1*v_447(k, M, y[45], y[25], y[23], y[17])
HOCN	26	 +1*v_87(k, M, y[26], y[9], y[13], y[11]) +1*v_467(k, M, y[14], y[13], y[26])
O2	27	 +1*v_95(k, M, y[10], y[13], y[9], y[27]) +1*v_97(k, M, y[16], y[13], y[9], y[27]) -1*v_301(k, M, y[27], y[29], y[10], y[2]) +1*v_305(k, M, y[10], y[36], y[13], y[27]) +1*v_311(k, M, y[27], y[20], y[36], y[9]) +1*v_313(k, M, y[27], y[36], y[13], y[15]) -1*v_327(k, M, y[27], y[3], y[0], y[8]) -1*v_329(k, M, y[27], y[13], y[2], y[6]) -1*v_331(k, M, y[27], y[36], y[7], y[2]) -1*v_333(k, M, y[27], y[35], y[37], y[10]) -1*v_335(k, M, y[27], y[7], y[35], y[2]) -1*v_337(k, M, y[27], y[14], y[10], y[8]) -1*v_349(k, M, y[27], y[3], y[23], y[10]) +1*v_417(k, M, y[27], y[36], y[24], y[43]) +1*v_481(k, M, y[10], y[27]) +1*v_495(k, M, y[16], y[27]) -1*v_569(k, M, y[27], y[36], y[9]) -1*v_625(k, M, y[27], y[10]) -1*v_627(k, M, y[27], y[10], y[16])
HCNO	28	 +1*v_125(k, M, y[10], y[21], y[9], y[28]) +1*v_155(k, M, y[16], y[21], y[9], y[28]) +1*v_321(k, M, y[3], y[37], y[2], y[28]) +1*v_455(k, M, y[28], y[7], y[1]) +1*v_491(k, M, y[16], y[28], y[11])
C	29	 +1*v_149(k, M, y[10], y[29], y[13], y[6]) +1*v_207(k, M, y[14], y[29], y[30], y[23]) +1*v_209(k, M, y[14], y[29], y[30], y[1]) +1*v_215(k, M, y[14], y[29], y[11], y[6]) +1*v_299(k, M, y[29], y[9], y[20], y[6]) -1*v_301(k, M, y[27], y[29], y[10], y[2]) -1*v_303(k, M, y[14], y[29], y[3], y[10]) -1*v_567(k, M, y[29], y[19], y[20]) +1*v_591(k, M, y[10], y[29], y[2]) +1*v_659(k, M, y[29], y[9], y[6])
N2	30	 +1*v_177(k, M, y[23], y[30], y[21], y[19]) +1*v_181(k, M, y[30], y[21], y[19], y[1]) +1*v_183(k, M, y[30], y[21], y[4], y[1]) +1*v_197(k, M, y[30], y[6], y[11], y[1]) +1*v_205(k, M, y[14], y[30], y[22], y[6]) +1*v_207(k, M, y[14], y[29], y[30], y[23]) +1*v_209(k, M, y[14], y[29], y[30], y[1]) +1*v_219(k, M, y[30], y[9], y[22]) +1*v_223(k, M, y[30], y[9], y[23], y[22]) +1*v_225(k, M, y[30], y[9], y[22], y[1]) +1*v_343(k, M, y[30], y[3], y[0], y[8]) +1*v_345(k, M, y[30], y[3], y[23], y[10]) +1*v_347(k, M, y[30], y[3], y[10], y[1]) +1*v_411(k, M, y[30], y[3], y[15], y[24]) +1*v_523(k, M, y[30], y[23]) +1*v_531(k, M, y[30], y[1]) -1*v_643(k, M, y[30], y[23])
CH2CN	31	 +1*v_185(k, M, y[31], y[21], y[9], y[6]) +1*v_199(k, M, y[9], y[31], y[11], y[4]) +1*v_509(k, M, y[31], y[11], y[6]) +1*v_515(k, M, y[14], y[31], y[19]) +1*v_517(k, M, y[14], y[31], y[4])
NCCN	32	 +1*v_195(k, M, y[14], y[32], y[11], y[9]) +1*v_511(k, M, y[14], y[32])
C2H4	33	 +1*v_261(k, M, y[18], y[9], y[33], y[6]) +1*v_267(k, M, y[17], y[9], y[19], y[33]) +1*v_269(k, M, y[17], y[9], y[4], y[33]) +1*v_271(k, M, y[17], y[33], y[6]) -1*v_365(k, M, y[10], y[17], y[7], y[33]) -1*v_367(k, M, y[10], y[19], y[5], y[33]) -1*v_369(k, M, y[17], y[23], y[11], y[33]) -1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) -1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) -1*v_375(k, M, y[14], y[9], y[33], y[39]) -1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) +1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) +1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) +1*v_383(k, M, y[40], y[20], y[9], y[33]) +1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) +1*v_387(k, M, y[40], y[17], y[33], y[6]) +1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) +1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) +1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) +1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) +1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) -1*v_451(k, M, y[9], y[46], y[33], y[1]) +1*v_541(k, M, y[19], y[33]) +1*v_545(k, M, y[4], y[33]) -1*v_601(k, M, y[20], y[33], y[34]) -1*v_603(k, M, y[9], y[33], y[34]) -1*v_605(k, M, y[9], y[33], y[48]) +1*v_607(k, M, y[40], y[20], y[33]) +1*v_609(k, M, y[40], y[9], y[33])
C2H2	34	 +1*v_273(k, M, y[17], y[9], y[34], y[6]) +1*v_277(k, M, y[20], y[19], y[34]) +1*v_279(k, M, y[9], y[4], y[19], y[34]) +1*v_281(k, M, y[9], y[19], y[34], y[6]) +1*v_287(k, M, y[20], y[4], y[34]) +1*v_289(k, M, y[9], y[4], y[34], y[6]) +1*v_325(k, M, y[18], y[35], y[34], y[17]) +1*v_351(k, M, y[20], y[35], y[9], y[34]) +1*v_353(k, M, y[10], y[35], y[13], y[34]) -1*v_359(k, M, y[10], y[19], y[34], y[2]) -1*v_361(k, M, y[14], y[38], y[9], y[34]) -1*v_363(k, M, y[14], y[35], y[11], y[34]) +1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) +1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) +1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) +1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) +1*v_401(k, M, y[42], y[41], y[35], y[34]) +1*v_453(k, M, y[41], y[14], y[9], y[34], y[46]) +1*v_551(k, M, y[34], y[6]) +1*v_565(k, M, y[35], y[9], y[34]) -1*v_595(k, M, y[35], y[9], y[34]) +1*v_601(k, M, y[20], y[33], y[34]) +1*v_603(k, M, y[9], y[33], y[34]) +1*v_611(k, M, y[40], y[20], y[34])
C2H	35	 +1*v_283(k, M, y[9], y[35], y[19], y[6]) +1*v_297(k, M, y[35], y[9], y[6]) -1*v_323(k, M, y[10], y[35], y[2], y[6]) -1*v_325(k, M, y[18], y[35], y[34], y[17]) -1*v_333(k, M, y[27], y[35], y[37], y[10]) -1*v_335(k, M, y[27], y[7], y[35], y[2]) -1*v_351(k, M, y[20], y[35], y[9], y[34]) -1*v_353(k, M, y[10], y[35], y[13], y[34]) -1*v_355(k, M, y[35], y[13], y[19], y[2]) -1*v_357(k, M, y[36], y[35], y[13], y[37]) +1*v_363(k, M, y[14], y[35], y[11], y[34]) -1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) -1*v_401(k, M, y[42], y[41], y[35], y[34]) -1*v_403(k, M, y[35], y[11], y[9], y[38]) -1*v_565(k, M, y[35], y[9], y[34]) +1*v_595(k, M, y[35], y[9], y[34])
HO2	36	 -1*v_305(k, M, y[10], y[36], y[13], y[27]) -1*v_307(k, M, y[10], y[36], y[9], y[15]) -1*v_309(k, M, y[36], y[13], y[9]) -1*v_311(k, M, y[27], y[20], y[36], y[9]) -1*v_313(k, M, y[27], y[36], y[13], y[15]) +1*v_331(k, M, y[27], y[36], y[7], y[2]) -1*v_357(k, M, y[36], y[35], y[13], y[37]) -1*v_415(k, M, y[25], y[36], y[15], y[24]) -1*v_417(k, M, y[27], y[36], y[24], y[43]) +1*v_471(k, M, y[10], y[36], y[13]) +1*v_473(k, M, y[16], y[36], y[13]) +1*v_569(k, M, y[27], y[36], y[9]) -1*v_639(k, M, y[10], y[36], y[13])
HCCO	37	 -1*v_315(k, M, y[19], y[37], y[9], y[2]) -1*v_317(k, M, y[10], y[37], y[9], y[2]) -1*v_319(k, M, y[0], y[3], y[37], y[11]) -1*v_321(k, M, y[3], y[37], y[2], y[28]) +1*v_333(k, M, y[27], y[35], y[37], y[10]) +1*v_357(k, M, y[36], y[35], y[13], y[37]) +1*v_463(k, M, y[37], y[2], y[6])
HC3N	38	 +1*v_361(k, M, y[14], y[38], y[9], y[34]) +1*v_403(k, M, y[35], y[11], y[9], y[38])
CH2CHCN	39	 +1*v_375(k, M, y[14], y[9], y[33], y[39])
C2H6	40	 -1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) -1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) -1*v_383(k, M, y[40], y[20], y[9], y[33]) -1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) -1*v_387(k, M, y[40], y[17], y[33], y[6]) -1*v_389(k, M, y[40], y[41], y[9], y[6]) -1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) -1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) -1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) -1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) -1*v_399(k, M, y[40], y[10], y[16]) +1*v_399(k, M, y[40], y[10], y[16]) -1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) +1*v_535(k, M, y[40], y[18], y[4]) +1*v_537(k, M, y[40], y[17]) -1*v_607(k, M, y[40], y[20], y[33]) -1*v_609(k, M, y[40], y[9], y[33]) -1*v_611(k, M, y[40], y[20], y[34]) -1*v_613(k, M, y[40], y[18], y[4]) -1*v_615(k, M, y[40], y[17])
CH3CHCH2	41	 +1*v_389(k, M, y[40], y[41], y[9], y[6]) -1*v_401(k, M, y[42], y[41], y[35], y[34]) -1*v_453(k, M, y[41], y[14], y[9], y[34], y[46])
CH2CHCH2	42	 +1*v_401(k, M, y[42], y[41], y[35], y[34])
NH3	43	 +1*v_417(k, M, y[27], y[36], y[24], y[43]) +1*v_419(k, M, y[20], y[9], y[24], y[43]) +1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) +1*v_423(k, M, y[17], y[18], y[24], y[43]) -1*v_435(k, M, y[10], y[13], y[24], y[43]) -1*v_437(k, M, y[13], y[15], y[24], y[43]) -1*v_439(k, M, y[14], y[11], y[24], y[43]) -1*v_645(k, M, y[9], y[24], y[43]) -1*v_647(k, M, y[9], y[22], y[43])
CH3CHO	44	 -1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) -1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) -1*v_445(k, M, y[18], y[7], y[9], y[44]) +1*v_457(k, M, y[17], y[7], y[44]) -1*v_635(k, M, y[18], y[2], y[44]) -1*v_637(k, M, y[17], y[7], y[44])
CH3OH	45	 -1*v_447(k, M, y[45], y[25], y[23], y[17]) -1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) +1*v_475(k, M, y[17], y[13], y[45]) +1*v_497(k, M, y[16], y[18], y[45]) -1*v_629(k, M, y[45], y[13], y[17]) -1*v_631(k, M, y[45], y[5], y[20]) -1*v_633(k, M, y[45], y[9], y[49])
CH3CN	46	 +1*v_451(k, M, y[9], y[46], y[33], y[1]) +1*v_453(k, M, y[41], y[14], y[9], y[34], y[46]) +1*v_513(k, M, y[14], y[17], y[46])
H2O_l_s	47	 +1*v_571(k, M, y[47], y[15]) -1*v_661(k, M, y[47], y[51])
C2H3	48	 +1*v_605(k, M, y[9], y[33], y[48])
CH3O	49	 +1*v_633(k, M, y[45], y[9], y[49])
HNCO	50	 -1*v_653(k, M, y[50], y[22], y[2]) -1*v_655(k, M, y[50], y[8], y[9])
H2O_rain	51	 +1*v_661(k, M, y[47], y[51])
HCN_rain	52	 +1*v_663(k, M, y[52], y[11])
'''

#species list
spec_list = ['CO2', 'N_2D', 'CO', 'NO', 'CH2_1', 'H2CO', 'CH', 'HCO', 'NCO', 'H', 'O', 'HCN', 'H2O2', 'OH', 'CN', 'H2O', 'O_1', 'CH3', 'CH4', 'CH2', 'H2', 'H2CN', 'NH', 'N', 'NH2', 'HNO', 'HOCN', 'O2', 'HCNO', 'C', 'N2', 'CH2CN', 'NCCN', 'C2H4', 'C2H2', 'C2H', 'HO2', 'HCCO', 'HC3N', 'CH2CHCN', 'C2H6', 'CH3CHCH2', 'CH2CHCH2', 'NH3', 'CH3CHO', 'CH3OH', 'CH3CN', 'H2O_l_s', 'C2H3', 'CH3O', 'HNCO', 'H2O_rain', 'HCN_rain']
# the total number of species
ni = 53
# the total number of reactions (forward and reverse)
nr = 664

# store the products and the reactants in the 1st and the 2nd element for reaction j (without M)
re_dict = {1:[['CO2', 'N_2D'], ['CO', 'NO']], 2:[['CO', 'NO'], ['CO2', 'N_2D']], 3:[['CO2', 'CH2_1'], ['H2CO', 'CO']], 4:[['H2CO', 'CO'], ['CO2', 'CH2_1']], 5:[['CO2', 'CH'], ['HCO', 'CO']], 6:[['HCO', 'CO'], ['CO2', 'CH']], 7:[['NCO', 'H'], ['O', 'HCN']], 8:[['O', 'HCN'], ['NCO', 'H']], 9:[['H2O2'], ['OH', 'OH']], 10:[['OH', 'OH'], ['H2O2']], 11:[['H2CO', 'CN'], ['HCN', 'HCO']], 12:[['HCN', 'HCO'], ['H2CO', 'CN']], 13:[['H2CO', 'OH'], ['H2O', 'CO', 'H']], 14:[['H2O', 'CO', 'H'], ['H2CO', 'OH']], 15:[['H2CO', 'OH'], ['H2O', 'HCO']], 16:[['H2O', 'HCO'], ['H2CO', 'OH']], 17:[['H2CO', 'O'], ['HCO', 'OH']], 18:[['HCO', 'OH'], ['H2CO', 'O']], 19:[['H2CO', 'O_1'], ['HCO', 'OH']], 20:[['HCO', 'OH'], ['H2CO', 'O_1']], 21:[['H2CO', 'CH3'], ['HCO', 'CH4']], 22:[['HCO', 'CH4'], ['H2CO', 'CH3']], 23:[['H2CO', 'CH2'], ['HCO', 'CH3']], 24:[['HCO', 'CH3'], ['H2CO', 'CH2']], 25:[['H2CO', 'CH2_1'], ['HCO', 'CH3']], 26:[['HCO', 'CH3'], ['H2CO', 'CH2_1']], 27:[['H2CO', 'CH'], ['CO', 'CH3']], 28:[['CO', 'CH3'], ['H2CO', 'CH']], 29:[['H2CO', 'CH'], ['HCO', 'CH2']], 30:[['HCO', 'CH2'], ['H2CO', 'CH']], 31:[['H2CO', 'H'], ['HCO', 'H2']], 32:[['HCO', 'H2'], ['H2CO', 'H']], 33:[['HCO', 'H2CN'], ['H2CO', 'HCN']], 34:[['H2CO', 'HCN'], ['HCO', 'H2CN']], 35:[['HCO', 'HCO'], ['H2CO', 'CO']], 36:[['H2CO', 'CO'], ['HCO', 'HCO']], 37:[['HCO', 'HCO'], ['CO', 'CO', 'H2']], 38:[['CO', 'CO', 'H2'], ['HCO', 'HCO']], 39:[['HCO', 'CN'], ['CO', 'HCN']], 40:[['CO', 'HCN'], ['HCO', 'CN']], 41:[['HCO', 'OH'], ['CO', 'H2O']], 42:[['CO', 'H2O'], ['HCO', 'OH']], 43:[['HCO', 'O'], ['CO2', 'H']], 44:[['CO2', 'H'], ['HCO', 'O']], 45:[['HCO', 'O'], ['CO', 'OH']], 46:[['CO', 'OH'], ['HCO', 'O']], 47:[['HCO', 'O_1'], ['CO2', 'H']], 48:[['CO2', 'H'], ['HCO', 'O_1']], 49:[['HCO', 'NH'], ['H2CO', 'N']], 50:[['H2CO', 'N'], ['HCO', 'NH']], 
51:[['HCO', 'NH'], ['CO', 'NH2']], 52:[['CO', 'NH2'], ['HCO', 'NH']], 53:[['HCO', 'N'], ['NCO', 'H']], 54:[['NCO', 'H'], ['HCO', 'N']], 55:[['HCO', 'N'], ['CO', 'NH']], 56:[['CO', 'NH'], ['HCO', 'N']], 57:[['HCO', 'N_2D'], ['NCO', 'H']], 58:[['NCO', 'H'], ['HCO', 'N_2D']], 59:[['HCO', 'N_2D'], ['CO', 'NH']], 60:[['CO', 'NH'], ['HCO', 'N_2D']], 61:[['HCO', 'CH3'], ['CO', 'CH4']], 62:[['CO', 'CH4'], ['HCO', 'CH3']], 63:[['HCO', 'CH2'], ['CO', 'CH3']], 64:[['CO', 'CH3'], ['HCO', 'CH2']], 65:[['HCO', 'CH2_1'], ['CO', 'CH3']], 66:[['CO', 'CH3'], ['HCO', 'CH2_1']], 67:[['HCO', 'CH'], ['CO', 'CH2']], 68:[['CO', 'CH2'], ['HCO', 'CH']], 69:[['HCO', 'CH'], ['CO', 'CH2_1']], 70:[['CO', 'CH2_1'], ['HCO', 'CH']], 71:[['HCO', 'H'], ['CO', 'H2']], 72:[['CO', 'H2'], ['HCO', 'H']], 73:[['HCO', 'H'], ['CO', 'H', 'H']], 74:[['CO', 'H', 'H'], ['HCO', 'H']], 75:[['HCO'], ['CO', 'H']], 76:[['CO', 'H'], ['HCO']], 77:[['CO', 'OH'], ['CO2', 'H']], 78:[['CO2', 'H'], ['CO', 'OH']], 79:[['H2O', 'O_1'], ['OH', 'OH']], 80:[['OH', 'OH'], ['H2O', 'O_1']], 81:[['H2O', 'CN'], ['OH', 'HCN']], 82:[['OH', 'HCN'], ['H2O', 'CN']], 83:[['H2O', 'N_2D'], ['HNO', 'H']], 84:[['HNO', 'H'], ['H2O', 'N_2D']], 85:[['H2O', 'CH'], ['H2CO', 'H']], 86:[['H2CO', 'H'], ['H2O', 'CH']], 87:[['OH', 'HCN'], ['HOCN', 'H']], 88:[['HOCN', 'H'], ['OH', 'HCN']], 89:[['OH', 'CN'], ['NCO', 'H']], 90:[['NCO', 'H'], ['OH', 'CN']], 91:[['OH', 'CN'], ['HCN', 'O']], 92:[['HCN', 'O'], ['OH', 'CN']], 93:[['OH', 'OH'], ['H2O', 'O']], 94:[['H2O', 'O'], ['OH', 'OH']], 95:[['OH', 'O'], ['O2', 'H']], 96:[['O2', 'H'], ['OH', 'O']], 97:[['OH', 'O_1'], ['O2', 'H']], 98:[['O2', 'H'], ['OH', 'O_1']], 99:[['OH', 'NH'], ['HNO', 'H']], 100:[['HNO', 'H'], ['OH', 'NH']], 101:[['OH', 'NH'], ['H2O', 'N']], 102:[['H2O', 'N'], ['OH', 'NH']], 103:[['OH', 'N'], ['NO', 'H']], 104:[['NO', 'H'], ['OH', 'N']], 105:[['OH', 'N_2D'], ['NO', 'H']], 106:[['NO', 'H'], ['OH', 'N_2D']], 107:[['OH', 'CH4'], ['H2O', 'CH3']], 108:[['H2O', 'CH3'], ['OH', 'CH4']], 109:[['OH', 'CH3'], ['H2O', 'CH2']], 110:[['H2O', 'CH2'], ['OH', 'CH3']], 111:[['OH', 'CH2'], ['H2CO', 'H']], 112:[['H2CO', 'H'], ['OH', 'CH2']], 113:[['OH', 'CH2'], ['H2O', 'CH']], 114:[['H2O', 'CH'], ['OH', 'CH2']], 115:[['OH', 'CH2_1'], ['H2CO', 'H']], 116:[['H2CO', 'H'], ['OH', 'CH2_1']], 117:[['OH', 'CH'], ['HCO', 'H']], 118:[['HCO', 'H'], ['OH', 'CH']], 119:[['OH', 'CH'], ['CO', 'H2']], 120:[['CO', 'H2'], ['OH', 'CH']], 121:[['OH', 'CH'], ['CO', 'H', 'H']], 122:[['CO', 'H', 'H'], ['OH', 'CH']], 123:[['OH', 'H2'], ['H2O', 'H']], 124:[['H2O', 'H'], ['OH', 'H2']], 125:[['O', 'H2CN'], ['HCNO', 'H']], 126:[['HCNO', 'H'], ['O', 'H2CN']], 127:[['O', 'H2CN'], ['OH', 'HCN']], 128:[['OH', 'HCN'], ['O', 'H2CN']], 129:[['O', 'CN'], ['CO', 'N']], 130:[['CO', 'N'], ['O', 'CN']], 131:[['O', 'CN'], ['CO', 'N_2D']], 132:[['CO', 'N_2D'], ['O', 'CN']], 133:[['O', 'NH'], ['NO', 'H']], 134:[['NO', 'H'], ['O', 'NH']], 135:[['O', 'NH'], ['OH', 'N']], 136:[['OH', 'N'], ['O', 'NH']], 137:[['O', 'CH4'], ['OH', 'CH3']], 138:[['OH', 'CH3'], ['O', 'CH4']], 139:[['O', 'CH3'], ['H2CO', 'H']], 140:[['H2CO', 'H'], ['O', 'CH3']], 141:[['O', 'CH2'], ['CO', 'H', 'H']], 142:[['CO', 'H', 'H'], ['O', 'CH2']], 143:[['O', 'CH2'], ['CO', 'H2']], 144:[['CO', 'H2'], ['O', 'CH2']], 145:[['O', 'CH2_1'], ['HCO', 'H']], 146:[['HCO', 'H'], ['O', 'CH2_1']], 147:[['O', 'CH'], ['CO', 'H']], 148:[['CO', 'H'], ['O', 'CH']], 149:[['O', 'CH'], ['OH', 'C']], 150:[['OH', 'C'], ['O', 'CH']], 151:[['O', 'H2'], ['OH', 'H']], 152:[['OH', 'H'], ['O', 'H2']], 
153:[['O_1', 'H2CN'], ['O', 'H2CN']], 154:[['O', 'H2CN'], ['O_1', 'H2CN']], 155:[['O_1', 'H2CN'], ['HCNO', 'H']], 156:[['HCNO', 'H'], ['O_1', 'H2CN']], 157:[['O_1', 'H2CN'], ['OH', 'HCN']], 158:[['OH', 'HCN'], ['O_1', 'H2CN']], 159:[['O_1', 'CN'], ['CO', 'N_2D']], 160:[['CO', 'N_2D'], ['O_1', 'CN']], 161:[['O_1', 'CH4'], ['OH', 'CH3']], 162:[['OH', 'CH3'], ['O_1', 'CH4']], 163:[['O_1', 'CH3'], ['H2CO', 'H']], 164:[['H2CO', 'H'], ['O_1', 'CH3']], 165:[['O_1', 'CH2'], ['HCO', 'H']], 166:[['HCO', 'H'], ['O_1', 'CH2']], 167:[['O_1', 'CH2_1'], ['CO', 'H', 'H']], 168:[['CO', 'H', 'H'], ['O_1', 'CH2_1']], 169:[['O_1', 'CH2_1'], ['CO', 'H2']], 170:[['CO', 'H2'], ['O_1', 'CH2_1']], 171:[['O_1', 'CH'], ['CO', 'H']], 172:[['CO', 'H'], ['O_1', 'CH']], 173:[['O_1', 'H2'], ['OH', 'H']], 174:[['OH', 'H'], ['O_1', 'H2']], 175:[['H2CN', 'NH'], ['HCN', 'NH2']], 176:[['HCN', 'NH2'], ['H2CN', 'NH']], 177:[['H2CN', 'N'], ['N2', 'CH2']], 178:[['N2', 'CH2'], ['H2CN', 'N']], 179:[['H2CN', 'N'], ['HCN', 'NH']], 180:[['HCN', 'NH'], ['H2CN', 'N']], 181:[['H2CN', 'N_2D'], ['N2', 'CH2']], 182:[['N2', 'CH2'], ['H2CN', 'N_2D']], 183:[['H2CN', 'N_2D'], ['N2', 'CH2_1']], 184:[['N2', 'CH2_1'], ['H2CN', 'N_2D']], 185:[['H2CN', 'CH'], ['CH2CN', 'H']], 186:[['CH2CN', 'H'], ['H2CN', 'CH']], 187:[['H2CN', 'CH'], ['HCN', 'CH2']], 188:[['HCN', 'CH2'], ['H2CN', 'CH']], 189:[['H2CN', 'CH'], ['HCN', 'CH2_1']], 190:[['HCN', 'CH2_1'], ['H2CN', 'CH']], 191:[['H2CN', 'H'], ['HCN', 'H2']], 192:[['HCN', 'H2'], ['H2CN', 'H']], 193:[['H2CN'], ['HCN', 'H']], 194:[['HCN', 'H'], ['H2CN']], 195:[['HCN', 'CN'], ['NCCN', 'H']], 196:[['NCCN', 'H'], ['HCN', 'CN']], 197:[['HCN', 'N_2D'], ['N2', 'CH']], 198:[['N2', 'CH'], ['HCN', 'N_2D']], 199:[['HCN', 'CH2_1'], ['CH2CN', 'H']], 200:[['CH2CN', 'H'], ['HCN', 'CH2_1']], 201:[['HCN', 'H'], ['HCN', 'H']], 202:[['HCN', 'H'], ['HCN', 'H']], 203:[['CN', 'NH'], ['HCN', 'N']], 204:[['HCN', 'N'], ['CN', 'NH']], 205:[['CN', 'NH'], ['CH', 'N2']], 206:[['CH', 'N2'], ['CN', 'NH']], 207:[['CN', 'N'], ['N2', 'C']], 208:[['N2', 'C'], ['CN', 'N']], 209:[['CN', 'N_2D'], ['N2', 'C']], 210:[['N2', 'C'], ['CN', 'N_2D']], 211:[['CN', 'CH4'], ['HCN', 'CH3']], 212:[['HCN', 'CH3'], ['CN', 'CH4']], 213:[['CN', 'CH3'], ['HCN', 'CH2']], 214:[['HCN', 'CH2'], ['CN', 'CH3']], 215:[['CN', 'CH'], ['HCN', 'C']], 216:[['HCN', 'C'], ['CN', 'CH']], 217:[['CN', 'H2'], ['HCN', 'H']], 218:[['HCN', 'H'], ['CN', 'H2']], 219:[['NH', 'NH'], ['N2', 'H', 'H']], 220:[['N2', 'H', 'H'], ['NH', 'NH']], 221:[['NH', 'NH'], ['NH2', 'N']], 222:[['NH2', 'N'], ['NH', 'NH']], 223:[['NH', 'N'], ['N2', 'H']], 224:[['N2', 'H'], ['NH', 'N']], 225:[['NH', 'N_2D'], ['N2', 'H']], 226:[['N2', 'H'], ['NH', 'N_2D']], 227:[['NH', 'CH3'], ['H2CN', 'H2']], 228:[['H2CN', 'H2'], ['NH', 'CH3']], 229:[['NH', 'CH2'], ['H2CN', 'H']], 230:[['H2CN', 'H'], ['NH', 'CH2']], 231:[['NH', 'CH2_1'], ['H2CN', 'H']], 232:[['H2CN', 'H'], ['NH', 'CH2_1']], 233:[['NH', 'CH'], ['HCN', 'H']], 234:[['HCN', 'H'], ['NH', 'CH']], 235:[['NH', 'H'], ['H2', 'N']], 236:[['H2', 'N'], ['NH', 'H']], 237:[['N', 'CH3'], ['H2CN', 'H']], 238:[['H2CN', 'H'], ['N', 'CH3']], 239:[['N', 'CH2'], ['HCN', 'H']], 240:[['HCN', 'H'], ['N', 'CH2']], 241:[['N', 'CH2_1'], ['CN', 'H', 'H']], 242:[['CN', 'H', 'H'], ['N', 'CH2_1']], 243:[['N', 'CH'], ['CN', 'H']], 244:[['CN', 'H'], ['N', 'CH']], 245:[['N_2D', 'CH4'], ['H2CN', 'H2']], 246:[['H2CN', 'H2'], ['N_2D', 'CH4']], 247:[['N_2D', 'CH3'], ['H2CN', 'H']], 248:[['H2CN', 'H'], ['N_2D', 'CH3']], 249:[['N_2D', 'CH2'], ['HCN', 'H']], 250:[['HCN', 'H'], ['N_2D', 'CH2']], 251:[['N_2D', 'CH2'], ['CN', 'H', 'H']], 252:[['CN', 'H', 'H'], ['N_2D', 'CH2']], 253:[['N_2D', 'CH2_1'], ['HCN', 'H']], 254:[['HCN', 'H'], ['N_2D', 'CH2_1']], 
255:[['N_2D', 'CH'], ['CN', 'H']], 256:[['CN', 'H'], ['N_2D', 'CH']], 257:[['N_2D', 'H2'], ['NH', 'H']], 258:[['NH', 'H'], ['N_2D', 'H2']], 259:[['CH4', 'CH2_1'], ['CH3', 'CH3']], 260:[['CH3', 'CH3'], ['CH4', 'CH2_1']], 261:[['CH4', 'CH'], ['C2H4', 'H']], 262:[['C2H4', 'H'], ['CH4', 'CH']], 263:[['CH4', 'H'], ['CH3', 'H2']], 264:[['CH3', 'H2'], ['CH4', 'H']], 265:[['CH3', 'CH3'], ['CH4', 'CH2']], 266:[['CH4', 'CH2'], ['CH3', 'CH3']], 267:[['CH3', 'CH2'], ['C2H4', 'H']], 268:[['C2H4', 'H'], ['CH3', 'CH2']], 269:[['CH3', 'CH2_1'], ['C2H4', 'H']], 270:[['C2H4', 'H'], ['CH3', 'CH2_1']], 271:[['CH3', 'CH'], ['C2H4']], 272:[['C2H4'], ['CH3', 'CH']], 273:[['CH3', 'CH'], ['C2H2', 'H', 'H']], 274:[['C2H2', 'H', 'H'], ['CH3', 'CH']], 275:[['CH3', 'H'], ['CH2', 'H2']], 276:[['CH2', 'H2'], ['CH3', 'H']], 277:[['CH2', 'CH2'], ['C2H2', 'H2']], 278:[['C2H2', 'H2'], ['CH2', 'CH2']], 279:[['CH2', 'CH2_1'], ['C2H2', 'H', 'H']], 280:[['C2H2', 'H', 'H'], ['CH2', 'CH2_1']], 281:[['CH2', 'CH'], ['C2H2', 'H']], 282:[['C2H2', 'H'], ['CH2', 'CH']], 283:[['CH2', 'CH'], ['C2H', 'H', 'H']], 284:[['C2H', 'H', 'H'], ['CH2', 'CH']], 285:[['CH2', 'H'], ['CH', 'H2']], 286:[['CH', 'H2'], ['CH2', 'H']], 287:[['CH2_1', 'CH2_1'], ['C2H2', 'H2']], 288:[['C2H2', 'H2'], ['CH2_1', 'CH2_1']], 289:[['CH2_1', 'CH'], ['C2H2', 'H']], 290:[['C2H2', 'H'], ['CH2_1', 'CH']], 291:[['CH2_1', 'H2'], ['CH3', 'H']], 292:[['CH3', 'H'], ['CH2_1', 'H2']], 293:[['CH2_1', 'H'], ['CH', 'H2']], 294:[['CH', 'H2'], ['CH2_1', 'H']], 295:[['CH2_1', 'H'], ['CH2', 'H']], 296:[['CH2', 'H'], ['CH2_1', 'H']], 297:[['CH', 'CH'], ['C2H', 'H']], 298:[['C2H', 'H'], ['CH', 'CH']], 299:[['CH', 'H'], ['C', 'H2']], 300:[['C', 'H2'], ['CH', 'H']], 301:[['C', 'O2'], ['CO', 'O']], 302:[['CO', 'O'], ['C', 'O2']], 303:[['C', 'NO'], ['CN', 'O']], 304:[['CN', 'O'], ['C', 'NO']], 305:[['HO2', 'O'], ['O2', 'OH']], 306:[['O2', 'OH'], ['HO2', 'O']], 307:[['HO2', 'H'], ['H2O', 'O']], 308:[['H2O', 'O'], ['HO2', 'H']], 309:[['HO2', 'H'], ['OH', 'OH']], 310:[['OH', 'OH'], ['HO2', 'H']], 311:[['HO2', 'H'], ['O2', 'H2']], 312:[['O2', 'H2'], ['HO2', 'H']], 313:[['HO2', 'OH'], ['H2O', 'O2']], 314:[['H2O', 'O2'], ['HO2', 'OH']], 315:[['HCCO', 'H'], ['CO', 'CH2']], 316:[['CO', 'CH2'], ['HCCO', 'H']], 317:[['HCCO', 'O'], ['CO', 'CO', 'H']], 318:[['CO', 'CO', 'H'], ['HCCO', 'O']], 319:[['HCCO', 'NO'], ['HCN', 'CO2']], 320:[['HCN', 'CO2'], ['HCCO', 'NO']], 321:[['HCCO', 'NO'], ['HCNO', 'CO']], 322:[['HCNO', 'CO'], ['HCCO', 'NO']], 323:[['C2H', 'O'], ['CH', 'CO']], 324:[['CH', 'CO'], ['C2H', 'O']], 325:[['C2H', 'CH4'], ['C2H2', 'CH3']], 326:[['C2H2', 'CH3'], ['C2H', 'CH4']], 327:[['O2', 'NCO'], ['CO2', 'NO']], 328:[['CO2', 'NO'], ['O2', 'NCO']], 329:[['O2', 'CH'], ['OH', 'CO']], 330:[['OH', 'CO'], ['O2', 'CH']], 331:[['O2', 'HCO'], ['CO', 'HO2']], 332:[['CO', 'HO2'], ['O2', 'HCO']], 333:[['O2', 'C2H'], ['O', 'HCCO']], 334:[['O', 'HCCO'], ['O2', 'C2H']], 335:[['O2', 'C2H'], ['CO', 'HCO']], 336:[['CO', 'HCO'], ['O2', 'C2H']], 337:[['O2', 'CN'], ['NCO', 'O']], 338:[['NCO', 'O'], ['O2', 'CN']], 339:[['NCO', 'O'], ['NO', 'CO']], 340:[['NO', 'CO'], ['NCO', 'O']], 341:[['NCO', 'H'], ['NH', 'CO']], 342:[['NH', 'CO'], ['NCO', 'H']], 343:[['NCO', 'NO'], ['N2', 'CO2']], 344:[['N2', 'CO2'], ['NCO', 'NO']], 345:[['NO', 'N'], ['N2', 'O']], 346:[['N2', 'O'], ['NO', 'N']], 347:[['NO', 'N_2D'], ['N2', 'O']], 348:[['N2', 'O'], ['NO', 'N_2D']], 349:[['O2', 'N'], ['NO', 'O']], 350:[['NO', 'O'], ['O2', 'N']], 351:[['C2H', 'H2'], ['C2H2', 'H']], 352:[['C2H2', 'H'], ['C2H', 'H2']], 353:[['C2H', 'OH'], ['C2H2', 'O']], 354:[['C2H2', 'O'], ['C2H', 'OH']], 355:[['C2H', 'OH'], ['CO', 'CH2']], 356:[['CO', 'CH2'], ['C2H', 'OH']], 
357:[['C2H', 'HO2'], ['OH', 'HCCO']], 358:[['OH', 'HCCO'], ['C2H', 'HO2']], 359:[['C2H2', 'O'], ['CO', 'CH2']], 360:[['CO', 'CH2'], ['C2H2', 'O']], 361:[['C2H2', 'CN'], ['HC3N', 'H']], 362:[['HC3N', 'H'], ['C2H2', 'CN']], 363:[['C2H2', 'CN'], ['HCN', 'C2H']], 364:[['HCN', 'C2H'], ['C2H2', 'CN']], 365:[['C2H4', 'O'], ['HCO', 'CH3']], 366:[['HCO', 'CH3'], ['C2H4', 'O']], 367:[['C2H4', 'O'], ['H2CO', 'CH2']], 368:[['H2CO', 'CH2'], ['C2H4', 'O']], 369:[['C2H4', 'N'], ['HCN', 'CH3']], 370:[['HCN', 'CH3'], ['C2H4', 'N']], 371:[['C2H4', 'OH'], ['C2H2', 'H2O', 'H']], 372:[['C2H2', 'H2O', 'H'], ['C2H4', 'OH']], 373:[['C2H4', 'CH3'], ['C2H2', 'CH4', 'H']], 374:[['C2H2', 'CH4', 'H'], ['C2H4', 'CH3']], 375:[['C2H4', 'CN'], ['CH2CHCN', 'H']], 376:[['CH2CHCN', 'H'], ['C2H4', 'CN']], 377:[['C2H4', 'CN'], ['HCN', 'C2H2', 'H']], 378:[['HCN', 'C2H2', 'H'], ['C2H4', 'CN']], 379:[['C2H6', 'CH2'], ['C2H4', 'CH3', 'H']], 380:[['C2H4', 'CH3', 'H'], ['C2H6', 'CH2']], 381:[['C2H6', 'O'], ['C2H4', 'OH', 'H']], 382:[['C2H4', 'OH', 'H'], ['C2H6', 'O']], 383:[['C2H6', 'H'], ['C2H4', 'H2', 'H']], 384:[['C2H4', 'H2', 'H'], ['C2H6', 'H']], 385:[['C2H6', 'OH'], ['C2H4', 'H2O', 'H']], 386:[['C2H4', 'H2O', 'H'], ['C2H6', 'OH']], 387:[['C2H6', 'CH'], ['C2H4', 'CH3']], 388:[['C2H4', 'CH3'], ['C2H6', 'CH']], 389:[['C2H6', 'CH'], ['CH3CHCH2', 'H']], 390:[['CH3CHCH2', 'H'], ['C2H6', 'CH']], 391:[['C2H6', 'CH3'], ['CH4', 'C2H4', 'H']], 392:[['CH4', 'C2H4', 'H'], ['C2H6', 'CH3']], 393:[['C2H6', 'C2H'], ['C2H2', 'C2H4', 'H']], 394:[['C2H2', 'C2H4', 'H'], ['C2H6', 'C2H']], 395:[['C2H6', 'CN'], ['HCN', 'C2H4', 'H']], 396:[['HCN', 'C2H4', 'H'], ['C2H6', 'CN']], 397:[['C2H6', 'O_1'], ['C2H4', 'OH', 'H']], 398:[['C2H4', 'OH', 'H'], ['C2H6', 'O_1']], 399:[['C2H6', 'O_1'], ['C2H6', 'O']], 400:[['C2H6', 'O'], ['C2H6', 'O_1']], 401:[['CH3CHCH2', 'C2H'], ['CH2CHCH2', 'C2H2']], 402:[['CH2CHCH2', 'C2H2'], ['CH3CHCH2', 'C2H']], 403:[['HCN', 'C2H'], ['HC3N', 'H']], 404:[['HC3N', 'H'], ['HCN', 'C2H']], 405:[['NH2', 'O'], ['H', 'HNO']], 406:[['H', 'HNO'], ['NH2', 'O']], 407:[['NH2', 'O'], ['OH', 'NH']], 408:[['OH', 'NH'], ['NH2', 'O']], 409:[['NH2', 'O'], ['H2', 'NO']], 410:[['H2', 'NO'], ['NH2', 'O']], 411:[['NH2', 'NO'], ['N2', 'H2O']], 412:[['N2', 'H2O'], ['NH2', 'NO']], 413:[['NH2', 'OH'], ['H2O', 'NH']], 414:[['H2O', 'NH'], ['NH2', 'OH']], 415:[['NH2', 'HO2'], ['H2O', 'HNO']], 416:[['H2O', 'HNO'], ['NH2', 'HO2']], 417:[['NH2', 'HO2'], ['NH3', 'O2']], 418:[['NH3', 'O2'], ['NH2', 'HO2']], 419:[['NH2', 'H2'], ['NH3', 'H']], 420:[['NH3', 'H'], ['NH2', 'H2']], 421:[['NH2', 'C2H6'], ['NH3', 'C2H4', 'H']], 422:[['NH3', 'C2H4', 'H'], ['NH2', 'C2H6']], 423:[['NH2', 'CH4'], ['NH3', 'CH3']], 424:[['NH3', 'CH3'], ['NH2', 'CH4']], 425:[['HNO', 'O'], ['OH', 'NO']], 426:[['OH', 'NO'], ['HNO', 'O']], 427:[['HNO', 'H'], ['H2', 'NO']], 428:[['H2', 'NO'], ['HNO', 'H']], 429:[['HNO', 'OH'], ['H2O', 'NO']], 430:[['H2O', 'NO'], ['HNO', 'OH']], 431:[['HNO', 'HCO'], ['H2CO', 'NO']], 432:[['H2CO', 'NO'], ['HNO', 'HCO']], 433:[['CN', 'HNO'], ['HCN', 'NO']], 434:[['HCN', 'NO'], ['CN', 'HNO']], 435:[['NH3', 'O'], ['NH2', 'OH']], 436:[['NH2', 'OH'], ['NH3', 'O']], 437:[['NH3', 'OH'], ['NH2', 'H2O']], 438:[['NH2', 'H2O'], ['NH3', 'OH']], 439:[['NH3', 'CN'], ['HCN', 'NH2']], 440:[['HCN', 'NH2'], ['NH3', 'CN']], 441:[['CH3CHO', 'N'], ['HCN', 'H2', 'HCO']], 442:[['HCN', 'H2', 'HCO'], ['CH3CHO', 'N']], 443:[['CH3CHO', 'H'], ['CO', 'H2', 'CH3']], 444:[['CO', 'H2', 'CH3'], ['CH3CHO', 'H']], 445:[['CH3CHO', 'H'], ['CH4', 'HCO']], 446:[['CH4', 'HCO'], ['CH3CHO', 'H']], 447:[['CH3OH', 'N'], ['CH3', 'HNO']], 448:[['CH3', 'HNO'], ['CH3OH', 'N']], 449:[['CH3OH', 'OH'], ['H2CO', 'H2O', 'H']], 450:[['H2CO', 'H2O', 'H'], ['CH3OH', 'OH']], 451:[['C2H4', 'N_2D'], ['CH3CN', 'H']], 452:[['CH3CN', 'H'], ['C2H4', 'N_2D']], 453:[['CH3CHCH2', 'CN'], ['CH3CN', 'C2H2', 'H']], 454:[['CH3CN', 'C2H2', 'H'], ['CH3CHCH2', 'CN']], 455:[['HCO', 'N_2D'], ['HCNO']], 456:[['HCNO'], ['HCO', 'N_2D']], 457:[['HCO', 'CH3'], ['CH3CHO']], 458:[['CH3CHO'], ['HCO', 'CH3']], 
459:[['HCO', 'H'], ['H2CO']], 460:[['H2CO'], ['HCO', 'H']], 461:[['CO', 'O_1'], ['CO2']], 462:[['CO2'], ['CO', 'O_1']], 463:[['CO', 'CH'], ['HCCO']], 464:[['HCCO'], ['CO', 'CH']], 465:[['CO', 'H'], ['HCO']], 466:[['HCO'], ['CO', 'H']], 467:[['OH', 'CN'], ['HOCN']], 468:[['HOCN'], ['OH', 'CN']], 469:[['OH', 'OH'], ['H2O2']], 470:[['H2O2'], ['OH', 'OH']], 471:[['OH', 'O'], ['HO2']], 472:[['HO2'], ['OH', 'O']], 473:[['OH', 'O_1'], ['HO2']], 474:[['HO2'], ['OH', 'O_1']], 475:[['OH', 'CH3'], ['CH3OH']], 476:[['CH3OH'], ['OH', 'CH3']], 477:[['OH', 'H'], ['H2O']], 478:[['H2O'], ['OH', 'H']], 479:[['O', 'CN'], ['NCO']], 480:[['NCO'], ['O', 'CN']], 481:[['O', 'O'], ['O2']], 482:[['O2'], ['O', 'O']], 483:[['O', 'N'], ['NO']], 484:[['NO'], ['O', 'N']], 485:[['O', 'CH2'], ['H2CO']], 486:[['H2CO'], ['O', 'CH2']], 487:[['O', 'CH'], ['HCO']], 488:[['HCO'], ['O', 'CH']], 489:[['O', 'H'], ['OH']], 490:[['OH'], ['O', 'H']], 491:[['O_1', 'HCN'], ['HCNO']], 492:[['HCNO'], ['O_1', 'HCN']], 493:[['O_1', 'CN'], ['NCO']], 494:[['NCO'], ['O_1', 'CN']], 495:[['O_1', 'O_1'], ['O2']], 496:[['O2'], ['O_1', 'O_1']], 497:[['O_1', 'CH4'], ['CH3OH']], 498:[['CH3OH'], ['O_1', 'CH4']], 499:[['O_1', 'CH2_1'], ['H2CO']], 500:[['H2CO'], ['O_1', 'CH2_1']], 501:[['O_1', 'CH'], ['HCO']], 502:[['HCO'], ['O_1', 'CH']], 503:[['O_1', 'H2'], ['H2O']], 504:[['H2O'], ['O_1', 'H2']], 505:[['O_1', 'H'], ['OH']], 506:[['OH'], ['O_1', 'H']], 507:[['O_1'], ['O']], 508:[['O'], ['O_1']], 509:[['HCN', 'CH'], ['CH2CN']], 510:[['CH2CN'], ['HCN', 'CH']], 511:[['CN', 'CN'], ['NCCN']], 512:[['NCCN'], ['CN', 'CN']], 513:[['CN', 'CH3'], ['CH3CN']], 514:[['CH3CN'], ['CN', 'CH3']], 515:[['CN', 'CH2'], ['CH2CN']], 516:[['CH2CN'], ['CN', 'CH2']], 517:[['CN', 'CH2_1'], ['CH2CN']], 518:[['CH2CN'], ['CN', 'CH2_1']], 519:[['CN', 'H'], ['HCN']], 520:[['HCN'], ['CN', 'H']], 521:[['N', 'CH2'], ['H2CN']], 522:[['H2CN'], ['N', 'CH2']], 523:[['N', 'N'], ['N2']], 524:[['N2'], ['N', 'N']], 525:[['N', 'H'], ['NH']], 526:[['NH'], ['N', 'H']], 527:[['N_2D', 'CH2'], ['H2CN']], 528:[['H2CN'], ['N_2D', 'CH2']], 529:[['N_2D', 'CH2_1'], ['H2CN']], 530:[['H2CN'], ['N_2D', 'CH2_1']], 531:[['N_2D', 'N_2D'], ['N2']], 532:[['N2'], ['N_2D', 'N_2D']], 533:[['N_2D', 'H'], ['NH']], 534:[['NH'], ['N_2D', 'H']], 535:[['CH4', 'CH2_1'], ['C2H6']], 536:[['C2H6'], ['CH4', 'CH2_1']], 537:[['CH3', 'CH3'], ['C2H6']], 538:[['C2H6'], ['CH3', 'CH3']], 539:[['CH3', 'H'], ['CH4']], 540:[['CH4'], ['CH3', 'H']], 541:[['CH2', 'CH2'], ['C2H4']], 542:[['C2H4'], ['CH2', 'CH2']], 543:[['CH2', 'H'], ['CH3']], 544:[['CH3'], ['CH2', 'H']], 545:[['CH2_1', 'CH2_1'], ['C2H4']], 546:[['C2H4'], ['CH2_1', 'CH2_1']], 547:[['CH2_1', 'H2'], ['CH4']], 548:[['CH4'], ['CH2_1', 'H2']], 549:[['CH2_1', 'H'], ['CH3']], 550:[['CH3'], ['CH2_1', 'H']], 551:[['CH', 'CH'], ['C2H2']], 552:[['C2H2'], ['CH', 'CH']], 553:[['CH', 'H2'], ['CH3']], 554:[['CH3'], ['CH', 'H2']], 555:[['CH', 'H'], ['CH2']], 556:[['CH2'], ['CH', 'H']], 557:[['CH', 'H'], ['CH2_1']], 558:[['CH2_1'], ['CH', 'H']], 559:[['H', 'H'], ['H2']], 560:[['H2'], ['H', 'H']], 
561:[['N_2D'], ['N']], 562:[['N'], ['N_2D']], 563:[['CH2_1'], ['CH2']], 564:[['CH2'], ['CH2_1']], 565:[['C2H', 'H'], ['C2H2']], 566:[['C2H2'], ['C2H', 'H']], 567:[['C', 'H2'], ['CH2']], 568:[['CH2'], ['C', 'H2']], 569:[['O2', 'H'], ['HO2']], 570:[['HO2'], ['O2', 'H']], 571:[['H2O'], ['H2O_l_s']], 572:[['H2O_l_s'], ['H2O']], 573:[['H2O'], ['H', 'OH']], 574:[['H', 'OH'], ['H2O']], 575:[['H2O'], ['H2', 'O_1']], 576:[['H2', 'O_1'], ['H2O']], 577:[['H2O'], ['H', 'H', 'O']], 578:[['H', 'H', 'O'], ['H2O']], 579:[['CH4'], ['CH3', 'H']], 580:[['CH3', 'H'], ['CH4']], 581:[['CH4'], ['CH2_1', 'H2']], 582:[['CH2_1', 'H2'], ['CH4']], 583:[['CH4'], ['CH2_1', 'H', 'H']], 584:[['CH2_1', 'H', 'H'], ['CH4']], 585:[['CH4'], ['CH', 'H2', 'H']], 586:[['CH', 'H2', 'H'], ['CH4']], 587:[['CH3'], ['CH', 'H2']], 588:[['CH', 'H2'], ['CH3']], 589:[['CH3'], ['CH2_1', 'H']], 590:[['CH2_1', 'H'], ['CH3']], 591:[['CO'], ['C', 'O']], 592:[['C', 'O'], ['CO']], 593:[['H2'], ['H', 'H']], 594:[['H', 'H'], ['H2']], 595:[['C2H2'], ['C2H', 'H']], 596:[['C2H', 'H'], ['C2H2']], 597:[['CO2'], ['CO', 'O']], 598:[['CO', 'O'], ['CO2']], 599:[['CO2'], ['CO', 'O_1']], 600:[['CO', 'O_1'], ['CO2']], 601:[['C2H4'], ['C2H2', 'H2']], 602:[['C2H2', 'H2'], ['C2H4']], 603:[['C2H4'], ['C2H2', 'H', 'H']], 604:[['C2H2', 'H', 'H'], ['C2H4']], 605:[['C2H4'], ['C2H3', 'H']], 606:[['C2H3', 'H'], ['C2H4']], 607:[['C2H6'], ['C2H4', 'H2']], 608:[['C2H4', 'H2'], ['C2H6']], 609:[['C2H6'], ['C2H4', 'H', 'H']], 610:[['C2H4', 'H', 'H'], ['C2H6']], 611:[['C2H6'], ['C2H2', 'H2', 'H2']], 612:[['C2H2', 'H2', 'H2'], ['C2H6']], 613:[['C2H6'], ['CH4', 'CH2_1']], 614:[['CH4', 'CH2_1'], ['C2H6']], 615:[['C2H6'], ['CH3', 'CH3']], 616:[['CH3', 'CH3'], ['C2H6']], 617:[['OH'], ['H', 'O']], 618:[['H', 'O'], ['OH']], 619:[['HCO'], ['H', 'CO']], 620:[['H', 'CO'], ['HCO']], 621:[['H2CO'], ['H2', 'CO']], 622:[['H2', 'CO'], ['H2CO']], 623:[['H2CO'], ['H', 'HCO']], 624:[['H', 'HCO'], ['H2CO']], 625:[['O2'], ['O', 'O']], 626:[['O', 'O'], ['O2']], 627:[['O2'], ['O', 'O_1']], 628:[['O', 'O_1'], ['O2']], 629:[['CH3OH'], ['CH3', 'OH']], 630:[['CH3', 'OH'], ['CH3OH']], 631:[['CH3OH'], ['H2CO', 'H2']], 632:[['H2CO', 'H2'], ['CH3OH']], 633:[['CH3OH'], ['CH3O', 'H']], 634:[['CH3O', 'H'], ['CH3OH']], 635:[['CH3CHO'], ['CH4', 'CO']], 636:[['CH4', 'CO'], ['CH3CHO']], 637:[['CH3CHO'], ['CH3', 'HCO']], 638:[['CH3', 'HCO'], ['CH3CHO']], 639:[['HO2'], ['O', 'OH']], 640:[['O', 'OH'], ['HO2']], 641:[['H2O2'], ['OH', 'OH']], 642:[['OH', 'OH'], ['H2O2']], 643:[['N2'], ['N', 'N']], 644:[['N', 'N'], ['N2']], 645:[['NH3'], ['NH2', 'H']], 646:[['NH2', 'H'], ['NH3']], 647:[['NH3'], ['NH', 'H', 'H']], 648:[['NH', 'H', 'H'], ['NH3']], 649:[['HCN'], ['H', 'CN']], 650:[['H', 'CN'], ['HCN']], 651:[['NO'], ['N', 'O']], 652:[['N', 'O'], ['NO']], 653:[['HNCO'], ['NH', 'CO']], 654:[['NH', 'CO'], ['HNCO']], 655:[['HNCO'], ['H', 'NCO']], 656:[['H', 'NCO'], ['HNCO']], 657:[['CH2'], ['CH', 'H']], 658:[['CH', 'H'], ['CH2']], 659:[['CH'], ['C', 'H']], 660:[['C', 'H'], ['CH']], 661:[['H2O_l_s'], ['H2O_rain']], 662:[['H2O_rain'], ['H2O_l_s']], 
663:[['HCN'], ['HCN_rain']], 664:[['HCN_rain'], ['HCN']]}


# store the products and the reactants in the 1st and the 2nd element for reaction j (with M)
re_wM_dict = {1:[['CO2', 'N_2D'], ['CO', 'NO']], 2:[['CO', 'NO'], ['CO2', 'N_2D']], 3:[['CO2', 'CH2_1'], ['H2CO', 'CO']], 4:[['H2CO', 'CO'], ['CO2', 'CH2_1']], 5:[['CO2', 'CH'], ['HCO', 'CO']], 6:[['HCO', 'CO'], ['CO2', 'CH']], 7:[['NCO', 'H'], ['O', 'HCN']], 8:[['O', 'HCN'], ['NCO', 'H']], 9:[['H2O2'], ['OH', 'OH']], 10:[['OH', 'OH'], ['H2O2']], 11:[['H2CO', 'CN'], ['HCN', 'HCO']], 12:[['HCN', 'HCO'], ['H2CO', 'CN']], 13:[['H2CO', 'OH'], ['H2O', 'CO', 'H']], 14:[['H2O', 'CO', 'H'], ['H2CO', 'OH']], 15:[['H2CO', 'OH'], ['H2O', 'HCO']], 16:[['H2O', 'HCO'], ['H2CO', 'OH']], 17:[['H2CO', 'O'], ['HCO', 'OH']], 18:[['HCO', 'OH'], ['H2CO', 'O']], 19:[['H2CO', 'O_1'], ['HCO', 'OH']], 20:[['HCO', 'OH'], ['H2CO', 'O_1']], 21:[['H2CO', 'CH3'], ['HCO', 'CH4']], 22:[['HCO', 'CH4'], ['H2CO', 'CH3']], 23:[['H2CO', 'CH2'], ['HCO', 'CH3']], 24:[['HCO', 'CH3'], ['H2CO', 'CH2']], 25:[['H2CO', 'CH2_1'], ['HCO', 'CH3']], 26:[['HCO', 'CH3'], ['H2CO', 'CH2_1']], 27:[['H2CO', 'CH'], ['CO', 'CH3']], 28:[['CO', 'CH3'], ['H2CO', 'CH']], 29:[['H2CO', 'CH'], ['HCO', 'CH2']], 30:[['HCO', 'CH2'], ['H2CO', 'CH']], 31:[['H2CO', 'H'], ['HCO', 'H2']], 32:[['HCO', 'H2'], ['H2CO', 'H']], 33:[['HCO', 'H2CN'], ['H2CO', 'HCN']], 34:[['H2CO', 'HCN'], ['HCO', 'H2CN']], 35:[['HCO', 'HCO'], ['H2CO', 'CO']], 36:[['H2CO', 'CO'], ['HCO', 'HCO']], 37:[['HCO', 'HCO'], ['CO', 'CO', 'H2']], 38:[['CO', 'CO', 'H2'], ['HCO', 'HCO']], 39:[['HCO', 'CN'], ['CO', 'HCN']], 40:[['CO', 'HCN'], ['HCO', 'CN']], 41:[['HCO', 'OH'], ['CO', 'H2O']], 42:[['CO', 'H2O'], ['HCO', 'OH']], 43:[['HCO', 'O'], ['CO2', 'H']], 44:[['CO2', 'H'], ['HCO', 'O']], 45:[['HCO', 'O'], ['CO', 'OH']], 46:[['CO', 'OH'], ['HCO', 'O']], 47:[['HCO', 'O_1'], ['CO2', 'H']], 48:[['CO2', 'H'], ['HCO', 'O_1']], 49:[['HCO', 'NH'], ['H2CO', 'N']], 50:[['H2CO', 'N'], ['HCO', 'NH']], 
51:[['HCO', 'NH'], ['CO', 'NH2']], 52:[['CO', 'NH2'], ['HCO', 'NH']], 53:[['HCO', 'N'], ['NCO', 'H']], 54:[['NCO', 'H'], ['HCO', 'N']], 55:[['HCO', 'N'], ['CO', 'NH']], 56:[['CO', 'NH'], ['HCO', 'N']], 57:[['HCO', 'N_2D'], ['NCO', 'H']], 58:[['NCO', 'H'], ['HCO', 'N_2D']], 59:[['HCO', 'N_2D'], ['CO', 'NH']], 60:[['CO', 'NH'], ['HCO', 'N_2D']], 61:[['HCO', 'CH3'], ['CO', 'CH4']], 62:[['CO', 'CH4'], ['HCO', 'CH3']], 63:[['HCO', 'CH2'], ['CO', 'CH3']], 64:[['CO', 'CH3'], ['HCO', 'CH2']], 65:[['HCO', 'CH2_1'], ['CO', 'CH3']], 66:[['CO', 'CH3'], ['HCO', 'CH2_1']], 67:[['HCO', 'CH'], ['CO', 'CH2']], 68:[['CO', 'CH2'], ['HCO', 'CH']], 69:[['HCO', 'CH'], ['CO', 'CH2_1']], 70:[['CO', 'CH2_1'], ['HCO', 'CH']], 71:[['HCO', 'H'], ['CO', 'H2']], 72:[['CO', 'H2'], ['HCO', 'H']], 73:[['HCO', 'H'], ['CO', 'H', 'H']], 74:[['CO', 'H', 'H'], ['HCO', 'H']], 75:[['HCO'], ['CO', 'H']], 76:[['CO', 'H'], ['HCO']], 77:[['CO', 'OH'], ['CO2', 'H']], 78:[['CO2', 'H'], ['CO', 'OH']], 79:[['H2O', 'O_1'], ['OH', 'OH']], 80:[['OH', 'OH'], ['H2O', 'O_1']], 81:[['H2O', 'CN'], ['OH', 'HCN']], 82:[['OH', 'HCN'], ['H2O', 'CN']], 83:[['H2O', 'N_2D'], ['HNO', 'H']], 84:[['HNO', 'H'], ['H2O', 'N_2D']], 85:[['H2O', 'CH'], ['H2CO', 'H']], 86:[['H2CO', 'H'], ['H2O', 'CH']], 87:[['OH', 'HCN'], ['HOCN', 'H']], 88:[['HOCN', 'H'], ['OH', 'HCN']], 89:[['OH', 'CN'], ['NCO', 'H']], 90:[['NCO', 'H'], ['OH', 'CN']], 91:[['OH', 'CN'], ['HCN', 'O']], 92:[['HCN', 'O'], ['OH', 'CN']], 93:[['OH', 'OH'], ['H2O', 'O']], 94:[['H2O', 'O'], ['OH', 'OH']], 95:[['OH', 'O'], ['O2', 'H']], 96:[['O2', 'H'], ['OH', 'O']], 97:[['OH', 'O_1'], ['O2', 'H']], 98:[['O2', 'H'], ['OH', 'O_1']], 99:[['OH', 'NH'], ['HNO', 'H']], 100:[['HNO', 'H'], ['OH', 'NH']], 101:[['OH', 'NH'], ['H2O', 'N']], 102:[['H2O', 'N'], ['OH', 'NH']], 103:[['OH', 'N'], ['NO', 'H']], 104:[['NO', 'H'], ['OH', 'N']], 105:[['OH', 'N_2D'], ['NO', 'H']], 106:[['NO', 'H'], ['OH', 'N_2D']], 107:[['OH', 'CH4'], ['H2O', 'CH3']], 108:[['H2O', 'CH3'], ['OH', 'CH4']], 109:[['OH', 'CH3'], ['H2O', 'CH2']], 110:[['H2O', 'CH2'], ['OH', 'CH3']], 111:[['OH', 'CH2'], ['H2CO', 'H']], 112:[['H2CO', 'H'], ['OH', 'CH2']], 113:[['OH', 'CH2'], ['H2O', 'CH']], 114:[['H2O', 'CH'], ['OH', 'CH2']], 115:[['OH', 'CH2_1'], ['H2CO', 'H']], 116:[['H2CO', 'H'], ['OH', 'CH2_1']], 117:[['OH', 'CH'], ['HCO', 'H']], 118:[['HCO', 'H'], ['OH', 'CH']], 119:[['OH', 'CH'], ['CO', 'H2']], 120:[['CO', 'H2'], ['OH', 'CH']], 121:[['OH', 'CH'], ['CO', 'H', 'H']], 122:[['CO', 'H', 'H'], ['OH', 'CH']], 123:[['OH', 'H2'], ['H2O', 'H']], 124:[['H2O', 'H'], ['OH', 'H2']], 125:[['O', 'H2CN'], ['HCNO', 'H']], 126:[['HCNO', 'H'], ['O', 'H2CN']], 127:[['O', 'H2CN'], ['OH', 'HCN']], 128:[['OH', 'HCN'], ['O', 'H2CN']], 129:[['O', 'CN'], ['CO', 'N']], 130:[['CO', 'N'], ['O', 'CN']], 131:[['O', 'CN'], ['CO', 'N_2D']], 132:[['CO', 'N_2D'], ['O', 'CN']], 133:[['O', 'NH'], ['NO', 'H']], 134:[['NO', 'H'], ['O', 'NH']], 135:[['O', 'NH'], ['OH', 'N']], 136:[['OH', 'N'], ['O', 'NH']], 137:[['O', 'CH4'], ['OH', 'CH3']], 138:[['OH', 'CH3'], ['O', 'CH4']], 139:[['O', 'CH3'], ['H2CO', 'H']], 140:[['H2CO', 'H'], ['O', 'CH3']], 141:[['O', 'CH2'], ['CO', 'H', 'H']], 142:[['CO', 'H', 'H'], ['O', 'CH2']], 143:[['O', 'CH2'], ['CO', 'H2']], 144:[['CO', 'H2'], ['O', 'CH2']], 145:[['O', 'CH2_1'], ['HCO', 'H']], 146:[['HCO', 'H'], ['O', 'CH2_1']], 147:[['O', 'CH'], ['CO', 'H']], 148:[['CO', 'H'], ['O', 'CH']], 149:[['O', 'CH'], ['OH', 'C']], 150:[['OH', 'C'], ['O', 'CH']], 151:[['O', 'H2'], ['OH', 'H']], 152:[['OH', 'H'], ['O', 'H2']], 
153:[['O_1', 'H2CN'], ['O', 'H2CN']], 154:[['O', 'H2CN'], ['O_1', 'H2CN']], 155:[['O_1', 'H2CN'], ['HCNO', 'H']], 156:[['HCNO', 'H'], ['O_1', 'H2CN']], 157:[['O_1', 'H2CN'], ['OH', 'HCN']], 158:[['OH', 'HCN'], ['O_1', 'H2CN']], 159:[['O_1', 'CN'], ['CO', 'N_2D']], 160:[['CO', 'N_2D'], ['O_1', 'CN']], 161:[['O_1', 'CH4'], ['OH', 'CH3']], 162:[['OH', 'CH3'], ['O_1', 'CH4']], 163:[['O_1', 'CH3'], ['H2CO', 'H']], 164:[['H2CO', 'H'], ['O_1', 'CH3']], 165:[['O_1', 'CH2'], ['HCO', 'H']], 166:[['HCO', 'H'], ['O_1', 'CH2']], 167:[['O_1', 'CH2_1'], ['CO', 'H', 'H']], 168:[['CO', 'H', 'H'], ['O_1', 'CH2_1']], 169:[['O_1', 'CH2_1'], ['CO', 'H2']], 170:[['CO', 'H2'], ['O_1', 'CH2_1']], 171:[['O_1', 'CH'], ['CO', 'H']], 172:[['CO', 'H'], ['O_1', 'CH']], 173:[['O_1', 'H2'], ['OH', 'H']], 174:[['OH', 'H'], ['O_1', 'H2']], 175:[['H2CN', 'NH'], ['HCN', 'NH2']], 176:[['HCN', 'NH2'], ['H2CN', 'NH']], 177:[['H2CN', 'N'], ['N2', 'CH2']], 178:[['N2', 'CH2'], ['H2CN', 'N']], 179:[['H2CN', 'N'], ['HCN', 'NH']], 180:[['HCN', 'NH'], ['H2CN', 'N']], 181:[['H2CN', 'N_2D'], ['N2', 'CH2']], 182:[['N2', 'CH2'], ['H2CN', 'N_2D']], 183:[['H2CN', 'N_2D'], ['N2', 'CH2_1']], 184:[['N2', 'CH2_1'], ['H2CN', 'N_2D']], 185:[['H2CN', 'CH'], ['CH2CN', 'H']], 186:[['CH2CN', 'H'], ['H2CN', 'CH']], 187:[['H2CN', 'CH'], ['HCN', 'CH2']], 188:[['HCN', 'CH2'], ['H2CN', 'CH']], 189:[['H2CN', 'CH'], ['HCN', 'CH2_1']], 190:[['HCN', 'CH2_1'], ['H2CN', 'CH']], 191:[['H2CN', 'H'], ['HCN', 'H2']], 192:[['HCN', 'H2'], ['H2CN', 'H']], 193:[['H2CN'], ['HCN', 'H']], 194:[['HCN', 'H'], ['H2CN']], 195:[['HCN', 'CN'], ['NCCN', 'H']], 196:[['NCCN', 'H'], ['HCN', 'CN']], 197:[['HCN', 'N_2D'], ['N2', 'CH']], 198:[['N2', 'CH'], ['HCN', 'N_2D']], 199:[['HCN', 'CH2_1'], ['CH2CN', 'H']], 200:[['CH2CN', 'H'], ['HCN', 'CH2_1']], 201:[['HCN', 'H'], ['HCN', 'H']], 202:[['HCN', 'H'], ['HCN', 'H']], 203:[['CN', 'NH'], ['HCN', 'N']], 204:[['HCN', 'N'], ['CN', 'NH']], 205:[['CN', 'NH'], ['CH', 'N2']], 206:[['CH', 'N2'], ['CN', 'NH']], 207:[['CN', 'N'], ['N2', 'C']], 208:[['N2', 'C'], ['CN', 'N']], 209:[['CN', 'N_2D'], ['N2', 'C']], 210:[['N2', 'C'], ['CN', 'N_2D']], 211:[['CN', 'CH4'], ['HCN', 'CH3']], 212:[['HCN', 'CH3'], ['CN', 'CH4']], 213:[['CN', 'CH3'], ['HCN', 'CH2']], 214:[['HCN', 'CH2'], ['CN', 'CH3']], 215:[['CN', 'CH'], ['HCN', 'C']], 216:[['HCN', 'C'], ['CN', 'CH']], 217:[['CN', 'H2'], ['HCN', 'H']], 218:[['HCN', 'H'], ['CN', 'H2']], 219:[['NH', 'NH'], ['N2', 'H', 'H']], 220:[['N2', 'H', 'H'], ['NH', 'NH']], 221:[['NH', 'NH'], ['NH2', 'N']], 222:[['NH2', 'N'], ['NH', 'NH']], 223:[['NH', 'N'], ['N2', 'H']], 224:[['N2', 'H'], ['NH', 'N']], 225:[['NH', 'N_2D'], ['N2', 'H']], 226:[['N2', 'H'], ['NH', 'N_2D']], 227:[['NH', 'CH3'], ['H2CN', 'H2']], 228:[['H2CN', 'H2'], ['NH', 'CH3']], 229:[['NH', 'CH2'], ['H2CN', 'H']], 230:[['H2CN', 'H'], ['NH', 'CH2']], 231:[['NH', 'CH2_1'], ['H2CN', 'H']], 232:[['H2CN', 'H'], ['NH', 'CH2_1']], 233:[['NH', 'CH'], ['HCN', 'H']], 234:[['HCN', 'H'], ['NH', 'CH']], 235:[['NH', 'H'], ['H2', 'N']], 236:[['H2', 'N'], ['NH', 'H']], 237:[['N', 'CH3'], ['H2CN', 'H']], 238:[['H2CN', 'H'], ['N', 'CH3']], 239:[['N', 'CH2'], ['HCN', 'H']], 240:[['HCN', 'H'], ['N', 'CH2']], 241:[['N', 'CH2_1'], ['CN', 'H', 'H']], 242:[['CN', 'H', 'H'], ['N', 'CH2_1']], 243:[['N', 'CH'], ['CN', 'H']], 244:[['CN', 'H'], ['N', 'CH']], 245:[['N_2D', 'CH4'], ['H2CN', 'H2']], 246:[['H2CN', 'H2'], ['N_2D', 'CH4']], 247:[['N_2D', 'CH3'], ['H2CN', 'H']], 248:[['H2CN', 'H'], ['N_2D', 'CH3']], 249:[['N_2D', 'CH2'], ['HCN', 'H']], 250:[['HCN', 'H'], ['N_2D', 'CH2']], 251:[['N_2D', 'CH2'], ['CN', 'H', 'H']], 252:[['CN', 'H', 'H'], ['N_2D', 'CH2']], 253:[['N_2D', 'CH2_1'], ['HCN', 'H']], 254:[['HCN', 'H'], ['N_2D', 'CH2_1']], 
255:[['N_2D', 'CH'], ['CN', 'H']], 256:[['CN', 'H'], ['N_2D', 'CH']], 257:[['N_2D', 'H2'], ['NH', 'H']], 258:[['NH', 'H'], ['N_2D', 'H2']], 259:[['CH4', 'CH2_1'], ['CH3', 'CH3']], 260:[['CH3', 'CH3'], ['CH4', 'CH2_1']], 261:[['CH4', 'CH'], ['C2H4', 'H']], 262:[['C2H4', 'H'], ['CH4', 'CH']], 263:[['CH4', 'H'], ['CH3', 'H2']], 264:[['CH3', 'H2'], ['CH4', 'H']], 265:[['CH3', 'CH3'], ['CH4', 'CH2']], 266:[['CH4', 'CH2'], ['CH3', 'CH3']], 267:[['CH3', 'CH2'], ['C2H4', 'H']], 268:[['C2H4', 'H'], ['CH3', 'CH2']], 269:[['CH3', 'CH2_1'], ['C2H4', 'H']], 270:[['C2H4', 'H'], ['CH3', 'CH2_1']], 271:[['CH3', 'CH'], ['C2H4']], 272:[['C2H4'], ['CH3', 'CH']], 273:[['CH3', 'CH'], ['C2H2', 'H', 'H']], 274:[['C2H2', 'H', 'H'], ['CH3', 'CH']], 275:[['CH3', 'H'], ['CH2', 'H2']], 276:[['CH2', 'H2'], ['CH3', 'H']], 277:[['CH2', 'CH2'], ['C2H2', 'H2']], 278:[['C2H2', 'H2'], ['CH2', 'CH2']], 279:[['CH2', 'CH2_1'], ['C2H2', 'H', 'H']], 280:[['C2H2', 'H', 'H'], ['CH2', 'CH2_1']], 281:[['CH2', 'CH'], ['C2H2', 'H']], 282:[['C2H2', 'H'], ['CH2', 'CH']], 283:[['CH2', 'CH'], ['C2H', 'H', 'H']], 284:[['C2H', 'H', 'H'], ['CH2', 'CH']], 285:[['CH2', 'H'], ['CH', 'H2']], 286:[['CH', 'H2'], ['CH2', 'H']], 287:[['CH2_1', 'CH2_1'], ['C2H2', 'H2']], 288:[['C2H2', 'H2'], ['CH2_1', 'CH2_1']], 289:[['CH2_1', 'CH'], ['C2H2', 'H']], 290:[['C2H2', 'H'], ['CH2_1', 'CH']], 291:[['CH2_1', 'H2'], ['CH3', 'H']], 292:[['CH3', 'H'], ['CH2_1', 'H2']], 293:[['CH2_1', 'H'], ['CH', 'H2']], 294:[['CH', 'H2'], ['CH2_1', 'H']], 295:[['CH2_1', 'H'], ['CH2', 'H']], 296:[['CH2', 'H'], ['CH2_1', 'H']], 297:[['CH', 'CH'], ['C2H', 'H']], 298:[['C2H', 'H'], ['CH', 'CH']], 299:[['CH', 'H'], ['C', 'H2']], 300:[['C', 'H2'], ['CH', 'H']], 301:[['C', 'O2'], ['CO', 'O']], 302:[['CO', 'O'], ['C', 'O2']], 303:[['C', 'NO'], ['CN', 'O']], 304:[['CN', 'O'], ['C', 'NO']], 305:[['HO2', 'O'], ['O2', 'OH']], 306:[['O2', 'OH'], ['HO2', 'O']], 307:[['HO2', 'H'], ['H2O', 'O']], 308:[['H2O', 'O'], ['HO2', 'H']], 309:[['HO2', 'H'], ['OH', 'OH']], 310:[['OH', 'OH'], ['HO2', 'H']], 311:[['HO2', 'H'], ['O2', 'H2']], 312:[['O2', 'H2'], ['HO2', 'H']], 313:[['HO2', 'OH'], ['H2O', 'O2']], 314:[['H2O', 'O2'], ['HO2', 'OH']], 315:[['HCCO', 'H'], ['CO', 'CH2']], 316:[['CO', 'CH2'], ['HCCO', 'H']], 317:[['HCCO', 'O'], ['CO', 'CO', 'H']], 318:[['CO', 'CO', 'H'], ['HCCO', 'O']], 319:[['HCCO', 'NO'], ['HCN', 'CO2']], 320:[['HCN', 'CO2'], ['HCCO', 'NO']], 321:[['HCCO', 'NO'], ['HCNO', 'CO']], 322:[['HCNO', 'CO'], ['HCCO', 'NO']], 323:[['C2H', 'O'], ['CH', 'CO']], 324:[['CH', 'CO'], ['C2H', 'O']], 325:[['C2H', 'CH4'], ['C2H2', 'CH3']], 326:[['C2H2', 'CH3'], ['C2H', 'CH4']], 327:[['O2', 'NCO'], ['CO2', 'NO']], 328:[['CO2', 'NO'], ['O2', 'NCO']], 329:[['O2', 'CH'], ['OH', 'CO']], 330:[['OH', 'CO'], ['O2', 'CH']], 331:[['O2', 'HCO'], ['CO', 'HO2']], 332:[['CO', 'HO2'], ['O2', 'HCO']], 333:[['O2', 'C2H'], ['O', 'HCCO']], 334:[['O', 'HCCO'], ['O2', 'C2H']], 335:[['O2', 'C2H'], ['CO', 'HCO']], 336:[['CO', 'HCO'], ['O2', 'C2H']], 337:[['O2', 'CN'], ['NCO', 'O']], 338:[['NCO', 'O'], ['O2', 'CN']], 339:[['NCO', 'O'], ['NO', 'CO']], 340:[['NO', 'CO'], ['NCO', 'O']], 341:[['NCO', 'H'], ['NH', 'CO']], 342:[['NH', 'CO'], ['NCO', 'H']], 343:[['NCO', 'NO'], ['N2', 'CO2']], 344:[['N2', 'CO2'], ['NCO', 'NO']], 345:[['NO', 'N'], ['N2', 'O']], 346:[['N2', 'O'], ['NO', 'N']], 347:[['NO', 'N_2D'], ['N2', 'O']], 348:[['N2', 'O'], ['NO', 'N_2D']], 349:[['O2', 'N'], ['NO', 'O']], 350:[['NO', 'O'], ['O2', 'N']], 351:[['C2H', 'H2'], ['C2H2', 'H']], 352:[['C2H2', 'H'], ['C2H', 'H2']], 353:[['C2H', 'OH'], ['C2H2', 'O']], 354:[['C2H2', 'O'], ['C2H', 'OH']], 355:[['C2H', 'OH'], ['CO', 'CH2']], 356:[['CO', 'CH2'], ['C2H', 'OH']], 
357:[['C2H', 'HO2'], ['OH', 'HCCO']], 358:[['OH', 'HCCO'], ['C2H', 'HO2']], 359:[['C2H2', 'O'], ['CO', 'CH2']], 360:[['CO', 'CH2'], ['C2H2', 'O']], 361:[['C2H2', 'CN'], ['HC3N', 'H']], 362:[['HC3N', 'H'], ['C2H2', 'CN']], 363:[['C2H2', 'CN'], ['HCN', 'C2H']], 364:[['HCN', 'C2H'], ['C2H2', 'CN']], 365:[['C2H4', 'O'], ['HCO', 'CH3']], 366:[['HCO', 'CH3'], ['C2H4', 'O']], 367:[['C2H4', 'O'], ['H2CO', 'CH2']], 368:[['H2CO', 'CH2'], ['C2H4', 'O']], 369:[['C2H4', 'N'], ['HCN', 'CH3']], 370:[['HCN', 'CH3'], ['C2H4', 'N']], 371:[['C2H4', 'OH'], ['C2H2', 'H2O', 'H']], 372:[['C2H2', 'H2O', 'H'], ['C2H4', 'OH']], 373:[['C2H4', 'CH3'], ['C2H2', 'CH4', 'H']], 374:[['C2H2', 'CH4', 'H'], ['C2H4', 'CH3']], 375:[['C2H4', 'CN'], ['CH2CHCN', 'H']], 376:[['CH2CHCN', 'H'], ['C2H4', 'CN']], 377:[['C2H4', 'CN'], ['HCN', 'C2H2', 'H']], 378:[['HCN', 'C2H2', 'H'], ['C2H4', 'CN']], 379:[['C2H6', 'CH2'], ['C2H4', 'CH3', 'H']], 380:[['C2H4', 'CH3', 'H'], ['C2H6', 'CH2']], 381:[['C2H6', 'O'], ['C2H4', 'OH', 'H']], 382:[['C2H4', 'OH', 'H'], ['C2H6', 'O']], 383:[['C2H6', 'H'], ['C2H4', 'H2', 'H']], 384:[['C2H4', 'H2', 'H'], ['C2H6', 'H']], 385:[['C2H6', 'OH'], ['C2H4', 'H2O', 'H']], 386:[['C2H4', 'H2O', 'H'], ['C2H6', 'OH']], 387:[['C2H6', 'CH'], ['C2H4', 'CH3']], 388:[['C2H4', 'CH3'], ['C2H6', 'CH']], 389:[['C2H6', 'CH'], ['CH3CHCH2', 'H']], 390:[['CH3CHCH2', 'H'], ['C2H6', 'CH']], 391:[['C2H6', 'CH3'], ['CH4', 'C2H4', 'H']], 392:[['CH4', 'C2H4', 'H'], ['C2H6', 'CH3']], 393:[['C2H6', 'C2H'], ['C2H2', 'C2H4', 'H']], 394:[['C2H2', 'C2H4', 'H'], ['C2H6', 'C2H']], 395:[['C2H6', 'CN'], ['HCN', 'C2H4', 'H']], 396:[['HCN', 'C2H4', 'H'], ['C2H6', 'CN']], 397:[['C2H6', 'O_1'], ['C2H4', 'OH', 'H']], 398:[['C2H4', 'OH', 'H'], ['C2H6', 'O_1']], 399:[['C2H6', 'O_1'], ['C2H6', 'O']], 400:[['C2H6', 'O'], ['C2H6', 'O_1']], 401:[['CH3CHCH2', 'C2H'], ['CH2CHCH2', 'C2H2']], 402:[['CH2CHCH2', 'C2H2'], ['CH3CHCH2', 'C2H']], 403:[['HCN', 'C2H'], ['HC3N', 'H']], 404:[['HC3N', 'H'], ['HCN', 'C2H']], 405:[['NH2', 'O'], ['H', 'HNO']], 406:[['H', 'HNO'], ['NH2', 'O']], 407:[['NH2', 'O'], ['OH', 'NH']], 408:[['OH', 'NH'], ['NH2', 'O']], 409:[['NH2', 'O'], ['H2', 'NO']], 410:[['H2', 'NO'], ['NH2', 'O']], 411:[['NH2', 'NO'], ['N2', 'H2O']], 412:[['N2', 'H2O'], ['NH2', 'NO']], 413:[['NH2', 'OH'], ['H2O', 'NH']], 414:[['H2O', 'NH'], ['NH2', 'OH']], 415:[['NH2', 'HO2'], ['H2O', 'HNO']], 416:[['H2O', 'HNO'], ['NH2', 'HO2']], 417:[['NH2', 'HO2'], ['NH3', 'O2']], 418:[['NH3', 'O2'], ['NH2', 'HO2']], 419:[['NH2', 'H2'], ['NH3', 'H']], 420:[['NH3', 'H'], ['NH2', 'H2']], 421:[['NH2', 'C2H6'], ['NH3', 'C2H4', 'H']], 422:[['NH3', 'C2H4', 'H'], ['NH2', 'C2H6']], 423:[['NH2', 'CH4'], ['NH3', 'CH3']], 424:[['NH3', 'CH3'], ['NH2', 'CH4']], 425:[['HNO', 'O'], ['OH', 'NO']], 426:[['OH', 'NO'], ['HNO', 'O']], 427:[['HNO', 'H'], ['H2', 'NO']], 428:[['H2', 'NO'], ['HNO', 'H']], 429:[['HNO', 'OH'], ['H2O', 'NO']], 430:[['H2O', 'NO'], ['HNO', 'OH']], 431:[['HNO', 'HCO'], ['H2CO', 'NO']], 432:[['H2CO', 'NO'], ['HNO', 'HCO']], 433:[['CN', 'HNO'], ['HCN', 'NO']], 434:[['HCN', 'NO'], ['CN', 'HNO']], 435:[['NH3', 'O'], ['NH2', 'OH']], 436:[['NH2', 'OH'], ['NH3', 'O']], 437:[['NH3', 'OH'], ['NH2', 'H2O']], 438:[['NH2', 'H2O'], ['NH3', 'OH']], 439:[['NH3', 'CN'], ['HCN', 'NH2']], 440:[['HCN', 'NH2'], ['NH3', 'CN']], 441:[['CH3CHO', 'N'], ['HCN', 'H2', 'HCO']], 442:[['HCN', 'H2', 'HCO'], ['CH3CHO', 'N']], 443:[['CH3CHO', 'H'], ['CO', 'H2', 'CH3']], 444:[['CO', 'H2', 'CH3'], ['CH3CHO', 'H']], 445:[['CH3CHO', 'H'], ['CH4', 'HCO']], 446:[['CH4', 'HCO'], ['CH3CHO', 'H']], 447:[['CH3OH', 'N'], ['CH3', 'HNO']], 448:[['CH3', 'HNO'], ['CH3OH', 'N']], 449:[['CH3OH', 'OH'], ['H2CO', 'H2O', 'H']], 450:[['H2CO', 'H2O', 'H'], ['CH3OH', 'OH']], 451:[['C2H4', 'N_2D'], ['CH3CN', 'H']], 452:[['CH3CN', 'H'], ['C2H4', 'N_2D']], 453:[['CH3CHCH2', 'CN'], ['CH3CN', 'C2H2', 'H']], 454:[['CH3CN', 'C2H2', 'H'], ['CH3CHCH2', 'CN']], 455:[['HCO', 'N_2D', 'M'], ['HCNO', 'M']], 456:[['HCNO', 'M'], ['HCO', 'N_2D', 'M']], 457:[['HCO', 'CH3', 'M'], ['CH3CHO', 'M']], 458:[['CH3CHO', 'M'], ['HCO', 'CH3', 'M']], 
459:[['HCO', 'H', 'M'], ['H2CO', 'M']], 460:[['H2CO', 'M'], ['HCO', 'H', 'M']], 461:[['CO', 'O_1', 'M'], ['CO2', 'M']], 462:[['CO2', 'M'], ['CO', 'O_1', 'M']], 463:[['CO', 'CH', 'M'], ['HCCO', 'M']], 464:[['HCCO', 'M'], ['CO', 'CH', 'M']], 465:[['CO', 'H', 'M'], ['HCO', 'M']], 466:[['HCO', 'M'], ['CO', 'H', 'M']], 467:[['OH', 'CN', 'M'], ['HOCN', 'M']], 468:[['HOCN', 'M'], ['OH', 'CN', 'M']], 469:[['OH', 'OH', 'M'], ['H2O2', 'M']], 470:[['H2O2', 'M'], ['OH', 'OH', 'M']], 471:[['OH', 'O', 'M'], ['HO2', 'M']], 472:[['HO2', 'M'], ['OH', 'O', 'M']], 473:[['OH', 'O_1', 'M'], ['HO2', 'M']], 474:[['HO2', 'M'], ['OH', 'O_1', 'M']], 475:[['OH', 'CH3', 'M'], ['CH3OH', 'M']], 476:[['CH3OH', 'M'], ['OH', 'CH3', 'M']], 477:[['OH', 'H', 'M'], ['H2O', 'M']], 478:[['H2O', 'M'], ['OH', 'H', 'M']], 479:[['O', 'CN', 'M'], ['NCO', 'M']], 480:[['NCO', 'M'], ['O', 'CN', 'M']], 481:[['O', 'O', 'M'], ['O2', 'M']], 482:[['O2', 'M'], ['O', 'O', 'M']], 483:[['O', 'N', 'M'], ['NO', 'M']], 484:[['NO', 'M'], ['O', 'N', 'M']], 485:[['O', 'CH2', 'M'], ['H2CO', 'M']], 486:[['H2CO', 'M'], ['O', 'CH2', 'M']], 487:[['O', 'CH', 'M'], ['HCO', 'M']], 488:[['HCO', 'M'], ['O', 'CH', 'M']], 489:[['O', 'H', 'M'], ['OH', 'M']], 490:[['OH', 'M'], ['O', 'H', 'M']], 491:[['O_1', 'HCN', 'M'], ['HCNO', 'M']], 492:[['HCNO', 'M'], ['O_1', 'HCN', 'M']], 493:[['O_1', 'CN', 'M'], ['NCO', 'M']], 494:[['NCO', 'M'], ['O_1', 'CN', 'M']], 495:[['O_1', 'O_1', 'M'], ['O2', 'M']], 496:[['O2', 'M'], ['O_1', 'O_1', 'M']], 497:[['O_1', 'CH4', 'M'], ['CH3OH', 'M']], 498:[['CH3OH', 'M'], ['O_1', 'CH4', 'M']], 499:[['O_1', 'CH2_1', 'M'], ['H2CO', 'M']], 500:[['H2CO', 'M'], ['O_1', 'CH2_1', 'M']], 501:[['O_1', 'CH', 'M'], ['HCO', 'M']], 502:[['HCO', 'M'], ['O_1', 'CH', 'M']], 503:[['O_1', 'H2', 'M'], ['H2O', 'M']], 504:[['H2O', 'M'], ['O_1', 'H2', 'M']], 505:[['O_1', 'H', 'M'], ['OH', 'M']], 506:[['OH', 'M'], ['O_1', 'H', 'M']], 507:[['O_1', 'M'], ['O', 'M']], 508:[['O', 'M'], ['O_1', 'M']], 509:[['HCN', 'CH', 'M'], ['CH2CN', 'M']], 510:[['CH2CN', 'M'], ['HCN', 'CH', 'M']], 511:[['CN', 'CN', 'M'], ['NCCN', 'M']], 512:[['NCCN', 'M'], ['CN', 'CN', 'M']], 513:[['CN', 'CH3', 'M'], ['CH3CN', 'M']], 514:[['CH3CN', 'M'], ['CN', 'CH3', 'M']], 515:[['CN', 'CH2', 'M'], ['CH2CN', 'M']], 516:[['CH2CN', 'M'], ['CN', 'CH2', 'M']], 517:[['CN', 'CH2_1', 'M'], ['CH2CN', 'M']], 518:[['CH2CN', 'M'], ['CN', 'CH2_1', 'M']], 519:[['CN', 'H', 'M'], ['HCN', 'M']], 520:[['HCN', 'M'], ['CN', 'H', 'M']], 521:[['N', 'CH2', 'M'], ['H2CN', 'M']], 522:[['H2CN', 'M'], ['N', 'CH2', 'M']], 523:[['N', 'N', 'M'], ['N2', 'M']], 524:[['N2', 'M'], ['N', 'N', 'M']], 525:[['N', 'H', 'M'], ['NH', 'M']], 526:[['NH', 'M'], ['N', 'H', 'M']], 527:[['N_2D', 'CH2', 'M'], ['H2CN', 'M']], 528:[['H2CN', 'M'], ['N_2D', 'CH2', 'M']], 529:[['N_2D', 'CH2_1', 'M'], ['H2CN', 'M']], 530:[['H2CN', 'M'], ['N_2D', 'CH2_1', 'M']], 531:[['N_2D', 'N_2D', 'M'], ['N2', 'M']], 532:[['N2', 'M'], ['N_2D', 'N_2D', 'M']], 533:[['N_2D', 'H', 'M'], ['NH', 'M']], 534:[['NH', 'M'], ['N_2D', 'H', 'M']], 535:[['CH4', 'CH2_1', 'M'], ['C2H6', 'M']], 536:[['C2H6', 'M'], ['CH4', 'CH2_1', 'M']], 537:[['CH3', 'CH3', 'M'], ['C2H6', 'M']], 538:[['C2H6', 'M'], ['CH3', 'CH3', 'M']], 539:[['CH3', 'H', 'M'], ['CH4', 'M']], 540:[['CH4', 'M'], ['CH3', 'H', 'M']], 541:[['CH2', 'CH2', 'M'], ['C2H4', 'M']], 542:[['C2H4', 'M'], ['CH2', 'CH2', 'M']], 543:[['CH2', 'H', 'M'], ['CH3', 'M']], 544:[['CH3', 'M'], ['CH2', 'H', 'M']], 545:[['CH2_1', 'CH2_1', 'M'], ['C2H4', 'M']], 546:[['C2H4', 'M'], ['CH2_1', 'CH2_1', 'M']], 547:[['CH2_1', 'H2', 'M'], ['CH4', 'M']], 548:[['CH4', 'M'], ['CH2_1', 'H2', 'M']], 549:[['CH2_1', 'H', 'M'], ['CH3', 'M']], 550:[['CH3', 'M'], ['CH2_1', 'H', 'M']], 551:[['CH', 'CH', 'M'], ['C2H2', 'M']], 552:[['C2H2', 'M'], ['CH', 'CH', 'M']], 553:[['CH', 'H2', 'M'], ['CH3', 'M']], 554:[['CH3', 'M'], ['CH', 'H2', 'M']], 555:[['CH', 'H', 'M'], ['CH2', 'M']], 556:[['CH2', 'M'], ['CH', 'H', 'M']], 557:[['CH', 'H', 'M'], ['CH2_1', 'M']], 558:[['CH2_1', 'M'], ['CH', 'H', 'M']], 559:[['H', 'H', 'M'], ['H2', 'M']], 560:[['H2', 'M'], ['H', 'H', 'M']], 
561:[['N_2D', 'M'], ['N', 'M']], 562:[['N', 'M'], ['N_2D', 'M']], 563:[['CH2_1', 'M'], ['CH2', 'M']], 564:[['CH2', 'M'], ['CH2_1', 'M']], 565:[['C2H', 'H', 'M'], ['C2H2', 'M']], 566:[['C2H2', 'M'], ['C2H', 'H', 'M']], 567:[['C', 'H2', 'M'], ['CH2', 'M']], 568:[['CH2', 'M'], ['C', 'H2', 'M']], 569:[['O2', 'H', 'M'], ['HO2', 'M']], 570:[['HO2', 'M'], ['O2', 'H', 'M']], 571:[['H2O'], ['H2O_l_s']], 572:[['H2O_l_s'], ['H2O']], 573:[['H2O'], ['H', 'OH']], 574:[['H', 'OH'], ['H2O']], 575:[['H2O'], ['H2', 'O_1']], 576:[['H2', 'O_1'], ['H2O']], 577:[['H2O'], ['H', 'H', 'O']], 578:[['H', 'H', 'O'], ['H2O']], 579:[['CH4'], ['CH3', 'H']], 580:[['CH3', 'H'], ['CH4']], 581:[['CH4'], ['CH2_1', 'H2']], 582:[['CH2_1', 'H2'], ['CH4']], 583:[['CH4'], ['CH2_1', 'H', 'H']], 584:[['CH2_1', 'H', 'H'], ['CH4']], 585:[['CH4'], ['CH', 'H2', 'H']], 586:[['CH', 'H2', 'H'], ['CH4']], 587:[['CH3'], ['CH', 'H2']], 588:[['CH', 'H2'], ['CH3']], 589:[['CH3'], ['CH2_1', 'H']], 590:[['CH2_1', 'H'], ['CH3']], 591:[['CO'], ['C', 'O']], 592:[['C', 'O'], ['CO']], 593:[['H2'], ['H', 'H']], 594:[['H', 'H'], ['H2']], 595:[['C2H2'], ['C2H', 'H']], 596:[['C2H', 'H'], ['C2H2']], 597:[['CO2'], ['CO', 'O']], 598:[['CO', 'O'], ['CO2']], 599:[['CO2'], ['CO', 'O_1']], 600:[['CO', 'O_1'], ['CO2']], 601:[['C2H4'], ['C2H2', 'H2']], 602:[['C2H2', 'H2'], ['C2H4']], 603:[['C2H4'], ['C2H2', 'H', 'H']], 604:[['C2H2', 'H', 'H'], ['C2H4']], 605:[['C2H4'], ['C2H3', 'H']], 606:[['C2H3', 'H'], ['C2H4']], 607:[['C2H6'], ['C2H4', 'H2']], 608:[['C2H4', 'H2'], ['C2H6']], 609:[['C2H6'], ['C2H4', 'H', 'H']], 610:[['C2H4', 'H', 'H'], ['C2H6']], 611:[['C2H6'], ['C2H2', 'H2', 'H2']], 612:[['C2H2', 'H2', 'H2'], ['C2H6']], 613:[['C2H6'], ['CH4', 'CH2_1']], 614:[['CH4', 'CH2_1'], ['C2H6']], 615:[['C2H6'], ['CH3', 'CH3']], 616:[['CH3', 'CH3'], ['C2H6']], 617:[['OH'], ['H', 'O']], 618:[['H', 'O'], ['OH']], 619:[['HCO'], ['H', 'CO']], 620:[['H', 'CO'], ['HCO']], 621:[['H2CO'], ['H2', 'CO']], 622:[['H2', 'CO'], ['H2CO']], 623:[['H2CO'], ['H', 'HCO']], 624:[['H', 'HCO'], ['H2CO']], 625:[['O2'], ['O', 'O']], 626:[['O', 'O'], ['O2']], 627:[['O2'], ['O', 'O_1']], 628:[['O', 'O_1'], ['O2']], 629:[['CH3OH'], ['CH3', 'OH']], 630:[['CH3', 'OH'], ['CH3OH']], 631:[['CH3OH'], ['H2CO', 'H2']], 632:[['H2CO', 'H2'], ['CH3OH']], 633:[['CH3OH'], ['CH3O', 'H']], 634:[['CH3O', 'H'], ['CH3OH']], 635:[['CH3CHO'], ['CH4', 'CO']], 636:[['CH4', 'CO'], ['CH3CHO']], 637:[['CH3CHO'], ['CH3', 'HCO']], 638:[['CH3', 'HCO'], ['CH3CHO']], 639:[['HO2'], ['O', 'OH']], 640:[['O', 'OH'], ['HO2']], 641:[['H2O2'], ['OH', 'OH']], 642:[['OH', 'OH'], ['H2O2']], 643:[['N2'], ['N', 'N']], 644:[['N', 'N'], ['N2']], 645:[['NH3'], ['NH2', 'H']], 646:[['NH2', 'H'], ['NH3']], 647:[['NH3'], ['NH', 'H', 'H']], 648:[['NH', 'H', 'H'], ['NH3']], 649:[['HCN'], ['H', 'CN']], 650:[['H', 'CN'], ['HCN']], 651:[['NO'], ['N', 'O']], 652:[['N', 'O'], ['NO']], 653:[['HNCO'], ['NH', 'CO']], 654:[['NH', 'CO'], ['HNCO']], 655:[['HNCO'], ['H', 'NCO']], 656:[['H', 'NCO'], ['HNCO']], 657:[['CH2'], ['CH', 'H']], 658:[['CH', 'H'], ['CH2']], 659:[['CH'], ['C', 'H']], 660:[['C', 'H'], ['CH']], 661:[['H2O_l_s'], ['H2O_rain']], 662:[['H2O_rain'], ['H2O_l_s']], 
663:[['HCN'], ['HCN_rain']], 664:[['HCN_rain'], ['HCN']]}


def chemdf(y, M, k): 
    y = np.transpose(y) 
    dydt = np.zeros(shape=y.shape) 
    dydt[0] =  -1*v_1(k, M, y[0], y[3], y[2], y[1]) -1*v_3(k, M, y[5], y[0], y[4], y[2]) -1*v_5(k, M, y[7], y[0], y[2], y[6]) +1*v_43(k, M, y[10], y[7], y[9], y[0]) +1*v_47(k, M, y[16], y[7], y[9], y[0]) +1*v_77(k, M, y[0], y[13], y[9], y[2]) +1*v_319(k, M, y[0], y[3], y[37], y[11]) +1*v_327(k, M, y[27], y[3], y[0], y[8]) +1*v_343(k, M, y[30], y[3], y[0], y[8]) +1*v_461(k, M, y[16], y[0], y[2]) -1*v_597(k, M, y[10], y[0], y[2]) -1*v_599(k, M, y[16], y[0], y[2])
    dydt[1] =  -1*v_1(k, M, y[0], y[3], y[2], y[1]) -1*v_57(k, M, y[7], y[8], y[9], y[1]) -1*v_59(k, M, y[7], y[22], y[2], y[1]) -1*v_83(k, M, y[25], y[9], y[15], y[1]) -1*v_105(k, M, y[3], y[13], y[9], y[1]) +1*v_131(k, M, y[10], y[14], y[2], y[1]) +1*v_159(k, M, y[16], y[14], y[2], y[1]) -1*v_181(k, M, y[30], y[21], y[19], y[1]) -1*v_183(k, M, y[30], y[21], y[4], y[1]) -1*v_197(k, M, y[30], y[6], y[11], y[1]) -1*v_209(k, M, y[14], y[29], y[30], y[1]) -1*v_225(k, M, y[30], y[9], y[22], y[1]) -1*v_245(k, M, y[18], y[21], y[20], y[1]) -1*v_247(k, M, y[17], y[21], y[9], y[1]) -1*v_249(k, M, y[9], y[11], y[19], y[1]) -1*v_251(k, M, y[14], y[9], y[19], y[1]) -1*v_253(k, M, y[9], y[11], y[4], y[1]) -1*v_255(k, M, y[14], y[6], y[9], y[1]) -1*v_257(k, M, y[20], y[9], y[22], y[1]) -1*v_347(k, M, y[30], y[3], y[10], y[1]) -1*v_451(k, M, y[9], y[46], y[33], y[1]) -1*v_455(k, M, y[28], y[7], y[1]) -1*v_527(k, M, y[21], y[19], y[1]) -1*v_529(k, M, y[21], y[4], y[1]) -1*v_531(k, M, y[30], y[1]) -1*v_531(k, M, y[30], y[1]) -1*v_533(k, M, y[9], y[22], y[1]) -1*v_561(k, M, y[23], y[1])
    dydt[2] =  +1*v_1(k, M, y[0], y[3], y[2], y[1]) +1*v_3(k, M, y[5], y[0], y[4], y[2]) +1*v_5(k, M, y[7], y[0], y[2], y[6]) +1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) +1*v_27(k, M, y[17], y[5], y[2], y[6]) +1*v_35(k, M, y[7], y[5], y[2]) +1*v_37(k, M, y[20], y[7], y[2]) +1*v_37(k, M, y[20], y[7], y[2]) +1*v_39(k, M, y[14], y[7], y[11], y[2]) +1*v_41(k, M, y[7], y[13], y[15], y[2]) +1*v_45(k, M, y[10], y[7], y[13], y[2]) +1*v_51(k, M, y[7], y[22], y[2], y[24]) +1*v_55(k, M, y[7], y[23], y[22], y[2]) +1*v_59(k, M, y[7], y[22], y[2], y[1]) +1*v_61(k, M, y[17], y[7], y[18], y[2]) +1*v_63(k, M, y[17], y[7], y[19], y[2]) +1*v_65(k, M, y[17], y[7], y[4], y[2]) +1*v_67(k, M, y[7], y[19], y[2], y[6]) +1*v_69(k, M, y[7], y[4], y[2], y[6]) +1*v_71(k, M, y[20], y[7], y[9], y[2]) +1*v_73(k, M, y[7], y[9], y[2]) +1*v_75(k, M, y[7], y[9], y[2]) -1*v_77(k, M, y[0], y[13], y[9], y[2]) +1*v_119(k, M, y[20], y[13], y[2], y[6]) +1*v_121(k, M, y[13], y[9], y[2], y[6]) +1*v_129(k, M, y[10], y[14], y[23], y[2]) +1*v_131(k, M, y[10], y[14], y[2], y[1]) +1*v_141(k, M, y[10], y[9], y[19], y[2]) +1*v_143(k, M, y[10], y[20], y[19], y[2]) +1*v_147(k, M, y[10], y[9], y[2], y[6]) +1*v_159(k, M, y[16], y[14], y[2], y[1]) +1*v_167(k, M, y[16], y[9], y[4], y[2]) +1*v_169(k, M, y[16], y[20], y[4], y[2]) +1*v_171(k, M, y[16], y[9], y[2], y[6]) +1*v_301(k, M, y[27], y[29], y[10], y[2]) +1*v_315(k, M, y[19], y[37], y[9], y[2]) +1*v_317(k, M, y[10], y[37], y[9], y[2]) +1*v_317(k, M, y[10], y[37], y[9], y[2]) +1*v_321(k, M, y[3], y[37], y[2], y[28]) +1*v_323(k, M, y[10], y[35], y[2], y[6]) +1*v_329(k, M, y[27], y[13], y[2], y[6]) +1*v_331(k, M, y[27], y[36], y[7], y[2]) +1*v_335(k, M, y[27], y[7], y[35], y[2]) +1*v_339(k, M, y[10], y[3], y[8], y[2]) +1*v_341(k, M, y[8], y[9], y[22], y[2]) +1*v_355(k, M, y[35], y[13], y[19], y[2]) +1*v_359(k, M, y[10], y[19], y[34], y[2]) +1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) -1*v_461(k, M, y[16], y[0], y[2]) -1*v_463(k, M, y[37], y[2], y[6]) -1*v_465(k, M, y[7], y[9], y[2]) -1*v_591(k, M, y[10], y[29], y[2]) +1*v_597(k, M, y[10], y[0], y[2]) +1*v_599(k, M, y[16], y[0], y[2]) +1*v_619(k, M, y[7], y[9], y[2]) +1*v_621(k, M, y[20], y[5], y[2]) +1*v_635(k, M, y[18], y[2], y[44]) +1*v_653(k, M, y[50], y[22], y[2])
    dydt[3] =  +1*v_1(k, M, y[0], y[3], y[2], y[1]) +1*v_103(k, M, y[23], y[3], y[13], y[9]) +1*v_105(k, M, y[3], y[13], y[9], y[1]) +1*v_133(k, M, y[10], y[9], y[3], y[22]) -1*v_303(k, M, y[14], y[29], y[3], y[10]) -1*v_319(k, M, y[0], y[3], y[37], y[11]) -1*v_321(k, M, y[3], y[37], y[2], y[28]) +1*v_327(k, M, y[27], y[3], y[0], y[8]) +1*v_339(k, M, y[10], y[3], y[8], y[2]) -1*v_343(k, M, y[30], y[3], y[0], y[8]) -1*v_345(k, M, y[30], y[3], y[23], y[10]) -1*v_347(k, M, y[30], y[3], y[10], y[1]) +1*v_349(k, M, y[27], y[3], y[23], y[10]) +1*v_409(k, M, y[10], y[20], y[3], y[24]) -1*v_411(k, M, y[30], y[3], y[15], y[24]) +1*v_425(k, M, y[10], y[25], y[3], y[13]) +1*v_427(k, M, y[25], y[3], y[9], y[20]) +1*v_429(k, M, y[25], y[3], y[13], y[15]) +1*v_431(k, M, y[25], y[7], y[3], y[5]) +1*v_433(k, M, y[14], y[25], y[3], y[11]) +1*v_483(k, M, y[10], y[3], y[23]) -1*v_651(k, M, y[10], y[3], y[23])
    dydt[4] =  -1*v_3(k, M, y[5], y[0], y[4], y[2]) -1*v_25(k, M, y[7], y[17], y[4], y[5]) -1*v_65(k, M, y[17], y[7], y[4], y[2]) +1*v_69(k, M, y[7], y[4], y[2], y[6]) -1*v_115(k, M, y[5], y[9], y[13], y[4]) -1*v_145(k, M, y[10], y[9], y[7], y[4]) -1*v_167(k, M, y[16], y[9], y[4], y[2]) -1*v_169(k, M, y[16], y[20], y[4], y[2]) +1*v_183(k, M, y[30], y[21], y[4], y[1]) +1*v_189(k, M, y[4], y[21], y[11], y[6]) -1*v_199(k, M, y[9], y[31], y[11], y[4]) -1*v_231(k, M, y[9], y[4], y[21], y[22]) -1*v_241(k, M, y[14], y[9], y[23], y[4]) -1*v_253(k, M, y[9], y[11], y[4], y[1]) -1*v_259(k, M, y[18], y[4], y[17]) -1*v_269(k, M, y[17], y[9], y[4], y[33]) -1*v_279(k, M, y[9], y[4], y[19], y[34]) -1*v_287(k, M, y[20], y[4], y[34]) -1*v_287(k, M, y[20], y[4], y[34]) -1*v_289(k, M, y[9], y[4], y[34], y[6]) -1*v_291(k, M, y[20], y[9], y[4], y[17]) -1*v_293(k, M, y[20], y[9], y[4], y[6]) -1*v_295(k, M, y[9], y[19], y[4]) -1*v_499(k, M, y[16], y[5], y[4]) -1*v_517(k, M, y[14], y[31], y[4]) -1*v_529(k, M, y[21], y[4], y[1]) -1*v_535(k, M, y[40], y[18], y[4]) -1*v_545(k, M, y[4], y[33]) -1*v_545(k, M, y[4], y[33]) -1*v_547(k, M, y[20], y[4], y[18]) -1*v_549(k, M, y[17], y[9], y[4]) +1*v_557(k, M, y[4], y[9], y[6]) -1*v_563(k, M, y[19], y[4]) +1*v_581(k, M, y[18], y[4], y[20]) +1*v_583(k, M, y[18], y[9], y[4]) +1*v_589(k, M, y[17], y[9], y[4]) +1*v_613(k, M, y[40], y[18], y[4])
    dydt[5] =  +1*v_3(k, M, y[5], y[0], y[4], y[2]) -1*v_11(k, M, y[14], y[7], y[11], y[5]) -1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) -1*v_15(k, M, y[7], y[13], y[5], y[15]) -1*v_17(k, M, y[10], y[7], y[13], y[5]) -1*v_19(k, M, y[16], y[7], y[13], y[5]) -1*v_21(k, M, y[17], y[7], y[18], y[5]) -1*v_23(k, M, y[17], y[7], y[19], y[5]) -1*v_25(k, M, y[7], y[17], y[4], y[5]) -1*v_27(k, M, y[17], y[5], y[2], y[6]) -1*v_29(k, M, y[7], y[19], y[5], y[6]) -1*v_31(k, M, y[7], y[20], y[9], y[5]) +1*v_33(k, M, y[7], y[21], y[5], y[11]) +1*v_35(k, M, y[7], y[5], y[2]) +1*v_49(k, M, y[5], y[7], y[23], y[22]) +1*v_85(k, M, y[5], y[9], y[15], y[6]) +1*v_111(k, M, y[5], y[9], y[13], y[19]) +1*v_115(k, M, y[5], y[9], y[13], y[4]) +1*v_139(k, M, y[10], y[17], y[9], y[5]) +1*v_163(k, M, y[16], y[17], y[9], y[5]) +1*v_367(k, M, y[10], y[19], y[5], y[33]) +1*v_431(k, M, y[25], y[7], y[3], y[5]) +1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) +1*v_459(k, M, y[5], y[7], y[9]) +1*v_485(k, M, y[10], y[5], y[19]) +1*v_499(k, M, y[16], y[5], y[4]) -1*v_621(k, M, y[20], y[5], y[2]) -1*v_623(k, M, y[7], y[9], y[5]) +1*v_631(k, M, y[45], y[5], y[20])
    dydt[6] =  -1*v_5(k, M, y[7], y[0], y[2], y[6]) -1*v_27(k, M, y[17], y[5], y[2], y[6]) -1*v_29(k, M, y[7], y[19], y[5], y[6]) -1*v_67(k, M, y[7], y[19], y[2], y[6]) -1*v_69(k, M, y[7], y[4], y[2], y[6]) -1*v_85(k, M, y[5], y[9], y[15], y[6]) +1*v_113(k, M, y[13], y[19], y[15], y[6]) -1*v_117(k, M, y[7], y[13], y[9], y[6]) -1*v_119(k, M, y[20], y[13], y[2], y[6]) -1*v_121(k, M, y[13], y[9], y[2], y[6]) -1*v_147(k, M, y[10], y[9], y[2], y[6]) -1*v_149(k, M, y[10], y[29], y[13], y[6]) -1*v_171(k, M, y[16], y[9], y[2], y[6]) -1*v_185(k, M, y[31], y[21], y[9], y[6]) -1*v_187(k, M, y[19], y[21], y[11], y[6]) -1*v_189(k, M, y[4], y[21], y[11], y[6]) +1*v_197(k, M, y[30], y[6], y[11], y[1]) +1*v_205(k, M, y[14], y[30], y[22], y[6]) -1*v_215(k, M, y[14], y[29], y[11], y[6]) -1*v_233(k, M, y[9], y[11], y[22], y[6]) -1*v_243(k, M, y[14], y[23], y[9], y[6]) -1*v_255(k, M, y[14], y[6], y[9], y[1]) -1*v_261(k, M, y[18], y[9], y[33], y[6]) -1*v_271(k, M, y[17], y[33], y[6]) -1*v_273(k, M, y[17], y[9], y[34], y[6]) -1*v_281(k, M, y[9], y[19], y[34], y[6]) -1*v_283(k, M, y[9], y[35], y[19], y[6]) +1*v_285(k, M, y[20], y[9], y[19], y[6]) -1*v_289(k, M, y[9], y[4], y[34], y[6]) +1*v_293(k, M, y[20], y[9], y[4], y[6]) -1*v_297(k, M, y[35], y[9], y[6]) -1*v_297(k, M, y[35], y[9], y[6]) -1*v_299(k, M, y[29], y[9], y[20], y[6]) +1*v_323(k, M, y[10], y[35], y[2], y[6]) -1*v_329(k, M, y[27], y[13], y[2], y[6]) -1*v_387(k, M, y[40], y[17], y[33], y[6]) -1*v_389(k, M, y[40], y[41], y[9], y[6]) -1*v_463(k, M, y[37], y[2], y[6]) -1*v_487(k, M, y[10], y[7], y[6]) -1*v_501(k, M, y[16], y[7], y[6]) -1*v_509(k, M, y[31], y[11], y[6]) -1*v_551(k, M, y[34], y[6]) -1*v_551(k, M, y[34], y[6]) -1*v_553(k, M, y[20], y[17], y[6]) -1*v_555(k, M, y[19], y[9], y[6]) -1*v_557(k, M, y[4], y[9], y[6]) +1*v_585(k, M, y[18], y[9], y[20], y[6]) +1*v_587(k, M, y[17], y[20], y[6]) +1*v_657(k, M, y[9], y[19], y[6]) -1*v_659(k, M, y[29], y[9], y[6])
    dydt[7] =  +1*v_5(k, M, y[7], y[0], y[2], y[6]) +1*v_11(k, M, y[14], y[7], y[11], y[5]) +1*v_15(k, M, y[7], y[13], y[5], y[15]) +1*v_17(k, M, y[10], y[7], y[13], y[5]) +1*v_19(k, M, y[16], y[7], y[13], y[5]) +1*v_21(k, M, y[17], y[7], y[18], y[5]) +1*v_23(k, M, y[17], y[7], y[19], y[5]) +1*v_25(k, M, y[7], y[17], y[4], y[5]) +1*v_29(k, M, y[7], y[19], y[5], y[6]) +1*v_31(k, M, y[7], y[20], y[9], y[5]) -1*v_33(k, M, y[7], y[21], y[5], y[11]) -1*v_35(k, M, y[7], y[5], y[2]) -1*v_35(k, M, y[7], y[5], y[2]) -1*v_37(k, M, y[20], y[7], y[2]) -1*v_37(k, M, y[20], y[7], y[2]) -1*v_39(k, M, y[14], y[7], y[11], y[2]) -1*v_41(k, M, y[7], y[13], y[15], y[2]) -1*v_43(k, M, y[10], y[7], y[9], y[0]) -1*v_45(k, M, y[10], y[7], y[13], y[2]) -1*v_47(k, M, y[16], y[7], y[9], y[0]) -1*v_49(k, M, y[5], y[7], y[23], y[22]) -1*v_51(k, M, y[7], y[22], y[2], y[24]) -1*v_53(k, M, y[7], y[8], y[23], y[9]) -1*v_55(k, M, y[7], y[23], y[22], y[2]) -1*v_57(k, M, y[7], y[8], y[9], y[1]) -1*v_59(k, M, y[7], y[22], y[2], y[1]) -1*v_61(k, M, y[17], y[7], y[18], y[2]) -1*v_63(k, M, y[17], y[7], y[19], y[2]) -1*v_65(k, M, y[17], y[7], y[4], y[2]) -1*v_67(k, M, y[7], y[19], y[2], y[6]) -1*v_69(k, M, y[7], y[4], y[2], y[6]) -1*v_71(k, M, y[20], y[7], y[9], y[2]) -1*v_73(k, M, y[7], y[9], y[2]) -1*v_75(k, M, y[7], y[9], y[2]) +1*v_117(k, M, y[7], y[13], y[9], y[6]) +1*v_145(k, M, y[10], y[9], y[7], y[4]) +1*v_165(k, M, y[16], y[9], y[7], y[19]) -1*v_331(k, M, y[27], y[36], y[7], y[2]) +1*v_335(k, M, y[27], y[7], y[35], y[2]) +1*v_365(k, M, y[10], y[17], y[7], y[33]) -1*v_431(k, M, y[25], y[7], y[3], y[5]) +1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) +1*v_445(k, M, y[18], y[7], y[9], y[44]) -1*v_455(k, M, y[28], y[7], y[1]) -1*v_457(k, M, y[17], y[7], y[44]) -1*v_459(k, M, y[5], y[7], y[9]) +1*v_465(k, M, y[7], y[9], y[2]) +1*v_487(k, M, y[10], y[7], y[6]) +1*v_501(k, M, y[16], y[7], y[6]) -1*v_619(k, M, y[7], y[9], y[2]) +1*v_623(k, M, y[7], y[9], y[5]) +1*v_637(k, M, y[17], y[7], y[44])
    dydt[8] =  -1*v_7(k, M, y[10], y[8], y[11], y[9]) +1*v_53(k, M, y[7], y[8], y[23], y[9]) +1*v_57(k, M, y[7], y[8], y[9], y[1]) +1*v_89(k, M, y[14], y[8], y[13], y[9]) -1*v_327(k, M, y[27], y[3], y[0], y[8]) +1*v_337(k, M, y[27], y[14], y[10], y[8]) -1*v_339(k, M, y[10], y[3], y[8], y[2]) -1*v_341(k, M, y[8], y[9], y[22], y[2]) -1*v_343(k, M, y[30], y[3], y[0], y[8]) +1*v_479(k, M, y[10], y[14], y[8]) +1*v_493(k, M, y[16], y[14], y[8]) +1*v_655(k, M, y[50], y[8], y[9])
    dydt[9] =  -1*v_7(k, M, y[10], y[8], y[11], y[9]) +1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) -1*v_31(k, M, y[7], y[20], y[9], y[5]) +1*v_43(k, M, y[10], y[7], y[9], y[0]) +1*v_47(k, M, y[16], y[7], y[9], y[0]) +1*v_53(k, M, y[7], y[8], y[23], y[9]) +1*v_57(k, M, y[7], y[8], y[9], y[1]) -1*v_71(k, M, y[20], y[7], y[9], y[2]) -1*v_73(k, M, y[7], y[9], y[2]) +1*v_73(k, M, y[7], y[9], y[2]) +1*v_73(k, M, y[7], y[9], y[2]) +1*v_75(k, M, y[7], y[9], y[2]) +1*v_77(k, M, y[0], y[13], y[9], y[2]) +1*v_83(k, M, y[25], y[9], y[15], y[1]) +1*v_85(k, M, y[5], y[9], y[15], y[6]) +1*v_87(k, M, y[26], y[9], y[13], y[11]) +1*v_89(k, M, y[14], y[8], y[13], y[9]) +1*v_95(k, M, y[10], y[13], y[9], y[27]) +1*v_97(k, M, y[16], y[13], y[9], y[27]) +1*v_99(k, M, y[25], y[9], y[13], y[22]) +1*v_103(k, M, y[23], y[3], y[13], y[9]) +1*v_105(k, M, y[3], y[13], y[9], y[1]) +1*v_111(k, M, y[5], y[9], y[13], y[19]) +1*v_115(k, M, y[5], y[9], y[13], y[4]) +1*v_117(k, M, y[7], y[13], y[9], y[6]) +1*v_121(k, M, y[13], y[9], y[2], y[6]) +1*v_121(k, M, y[13], y[9], y[2], y[6]) +1*v_123(k, M, y[20], y[9], y[13], y[15]) +1*v_125(k, M, y[10], y[21], y[9], y[28]) +1*v_133(k, M, y[10], y[9], y[3], y[22]) +1*v_139(k, M, y[10], y[17], y[9], y[5]) +1*v_141(k, M, y[10], y[9], y[19], y[2]) +1*v_141(k, M, y[10], y[9], y[19], y[2]) +1*v_145(k, M, y[10], y[9], y[7], y[4]) +1*v_147(k, M, y[10], y[9], y[2], y[6]) +1*v_151(k, M, y[10], y[20], y[13], y[9]) +1*v_155(k, M, y[16], y[21], y[9], y[28]) +1*v_163(k, M, y[16], y[17], y[9], y[5]) +1*v_165(k, M, y[16], y[9], y[7], y[19]) +1*v_167(k, M, y[16], y[9], y[4], y[2]) +1*v_167(k, M, y[16], y[9], y[4], y[2]) +1*v_171(k, M, y[16], y[9], y[2], y[6]) +1*v_173(k, M, y[16], y[20], y[13], y[9]) +1*v_185(k, M, y[31], y[21], y[9], y[6]) -1*v_191(k, M, y[20], y[21], y[9], y[11]) +1*v_193(k, M, y[9], y[21], y[11]) +1*v_195(k, M, y[14], y[32], y[11], y[9]) +1*v_199(k, M, y[9], y[31], y[11], y[4]) -1*v_201(k, M, y[11], y[9]) +1*v_201(k, M, y[11], y[9]) +1*v_217(k, M, y[14], y[20], y[11], y[9]) +1*v_219(k, M, y[30], y[9], y[22]) +1*v_219(k, M, y[30], y[9], y[22]) +1*v_223(k, M, y[30], y[9], y[23], y[22]) +1*v_225(k, M, y[30], y[9], y[22], y[1]) +1*v_229(k, M, y[9], y[19], y[21], y[22]) +1*v_231(k, M, y[9], y[4], y[21], y[22]) +1*v_233(k, M, y[9], y[11], y[22], y[6]) -1*v_235(k, M, y[20], y[9], y[23], y[22]) +1*v_237(k, M, y[21], y[17], y[23], y[9]) +1*v_239(k, M, y[9], y[23], y[19], y[11]) +1*v_241(k, M, y[14], y[9], y[23], y[4]) +1*v_241(k, M, y[14], y[9], y[23], y[4]) +1*v_243(k, M, y[14], y[23], y[9], y[6]) +1*v_247(k, M, y[17], y[21], y[9], y[1]) +1*v_249(k, M, y[9], y[11], y[19], y[1]) +1*v_251(k, M, y[14], y[9], y[19], y[1]) +1*v_251(k, M, y[14], y[9], y[19], y[1]) +1*v_253(k, M, y[9], y[11], y[4], y[1]) +1*v_255(k, M, y[14], y[6], y[9], y[1]) +1*v_257(k, M, y[20], y[9], y[22], y[1]) +1*v_261(k, M, y[18], y[9], y[33], y[6]) -1*v_263(k, M, y[18], y[9], y[20], y[17]) +1*v_267(k, M, y[17], y[9], y[19], y[33]) +1*v_269(k, M, y[17], y[9], y[4], y[33]) +1*v_273(k, M, y[17], y[9], y[34], y[6]) +1*v_273(k, M, y[17], y[9], y[34], y[6]) -1*v_275(k, M, y[17], y[19], y[9], y[20]) +1*v_279(k, M, y[9], y[4], y[19], y[34]) +1*v_279(k, M, y[9], y[4], y[19], y[34]) +1*v_281(k, M, y[9], y[19], y[34], y[6]) +1*v_283(k, M, y[9], y[35], y[19], y[6]) +1*v_283(k, M, y[9], y[35], y[19], y[6]) -1*v_285(k, M, y[20], y[9], y[19], y[6]) +1*v_289(k, M, y[9], y[4], y[34], y[6]) +1*v_291(k, M, y[20], y[9], y[4], y[17]) -1*v_293(k, M, y[20], y[9], y[4], y[6]) -1*v_295(k, M, y[9], y[19], y[4]) +1*v_295(k, M, y[9], y[19], y[4]) +1*v_297(k, M, y[35], y[9], y[6]) -1*v_299(k, M, y[29], y[9], y[20], y[6]) -1*v_307(k, M, y[10], y[36], y[9], y[15]) -1*v_309(k, M, y[36], y[13], y[9]) -1*v_311(k, M, y[27], y[20], y[36], y[9]) -1*v_315(k, M, y[19], y[37], y[9], y[2]) +1*v_317(k, M, y[10], y[37], y[9], y[2]) -1*v_341(k, M, y[8], y[9], y[22], y[2]) +1*v_351(k, M, y[20], y[35], y[9], y[34]) +1*v_361(k, M, y[14], y[38], y[9], y[34]) +1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) +1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) +1*v_375(k, M, y[14], y[9], y[33], y[39]) +1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) +1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) +1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) -1*v_383(k, M, y[40], y[20], y[9], y[33]) +1*v_383(k, M, y[40], y[20], y[9], y[33]) +1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) +1*v_389(k, M, y[40], y[41], y[9], y[6]) +1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) +1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) +1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) +1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) +1*v_403(k, M, y[35], y[11], y[9], y[38]) +1*v_405(k, M, y[10], y[25], y[9], y[24]) +1*v_419(k, M, y[20], y[9], y[24], y[43]) +1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) -1*v_427(k, M, y[25], y[3], y[9], y[20]) -1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) -1*v_445(k, M, y[18], y[7], y[9], y[44]) +1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) +1*v_451(k, M, y[9], y[46], y[33], y[1]) +1*v_453(k, M, y[41], y[14], y[9], y[34], y[46]) -1*v_459(k, M, y[5], y[7], y[9]) -1*v_465(k, M, y[7], y[9], y[2]) -1*v_477(k, M, y[13], y[9], y[15]) -1*v_489(k, M, y[10], y[13], y[9]) -1*v_505(k, M, y[16], y[13], y[9]) -1*v_519(k, M, y[14], y[9], y[11]) -1*v_525(k, M, y[23], y[9], y[22]) -1*v_533(k, M, y[9], y[22], y[1]) -1*v_539(k, M, y[17], y[9], y[18]) -1*v_543(k, M, y[17], y[9], y[19]) -1*v_549(k, M, y[17], y[9], y[4]) -1*v_555(k, M, y[19], y[9], y[6]) -1*v_557(k, M, y[4], y[9], y[6]) -1*v_559(k, M, y[20], y[9]) -1*v_559(k, M, y[20], y[9]) -1*v_565(k, M, y[35], y[9], y[34]) -1*v_569(k, M, y[27], y[36], y[9]) +1*v_573(k, M, y[9], y[13], y[15]) +1*v_577(k, M, y[10], y[9], y[15]) +1*v_577(k, M, y[10], y[9], y[15]) +1*v_579(k, M, y[18], y[9], y[17]) +1*v_583(k, M, y[18], y[9], y[4]) +1*v_583(k, M, y[18], y[9], y[4]) +1*v_585(k, M, y[18], y[9], y[20], y[6]) +1*v_589(k, M, y[17], y[9], y[4]) +1*v_593(k, M, y[20], y[9]) +1*v_593(k, M, y[20], y[9]) +1*v_595(k, M, y[35], y[9], y[34]) +1*v_603(k, M, y[9], y[33], y[34]) +1*v_603(k, M, y[9], y[33], y[34]) +1*v_605(k, M, y[9], y[33], y[48]) +1*v_609(k, M, y[40], y[9], y[33]) +1*v_609(k, M, y[40], y[9], y[33]) +1*v_617(k, M, y[10], y[13], y[9]) +1*v_619(k, M, y[7], y[9], y[2]) +1*v_623(k, M, y[7], y[9], y[5]) +1*v_633(k, M, y[45], y[9], y[49]) +1*v_645(k, M, y[9], y[24], y[43]) +1*v_647(k, M, y[9], y[22], y[43]) +1*v_647(k, M, y[9], y[22], y[43]) +1*v_649(k, M, y[14], y[11], y[9]) +1*v_655(k, M, y[50], y[8], y[9]) +1*v_657(k, M, y[9], y[19], y[6]) +1*v_659(k, M, y[29], y[9], y[6])
    dydt[10] =  +1*v_7(k, M, y[10], y[8], y[11], y[9]) -1*v_17(k, M, y[10], y[7], y[13], y[5]) -1*v_43(k, M, y[10], y[7], y[9], y[0]) -1*v_45(k, M, y[10], y[7], y[13], y[2]) +1*v_91(k, M, y[14], y[10], y[13], y[11]) +1*v_93(k, M, y[10], y[13], y[15]) -1*v_95(k, M, y[10], y[13], y[9], y[27]) -1*v_125(k, M, y[10], y[21], y[9], y[28]) -1*v_127(k, M, y[10], y[13], y[21], y[11]) -1*v_129(k, M, y[10], y[14], y[23], y[2]) -1*v_131(k, M, y[10], y[14], y[2], y[1]) -1*v_133(k, M, y[10], y[9], y[3], y[22]) -1*v_135(k, M, y[10], y[23], y[13], y[22]) -1*v_137(k, M, y[10], y[18], y[13], y[17]) -1*v_139(k, M, y[10], y[17], y[9], y[5]) -1*v_141(k, M, y[10], y[9], y[19], y[2]) -1*v_143(k, M, y[10], y[20], y[19], y[2]) -1*v_145(k, M, y[10], y[9], y[7], y[4]) -1*v_147(k, M, y[10], y[9], y[2], y[6]) -1*v_149(k, M, y[10], y[29], y[13], y[6]) -1*v_151(k, M, y[10], y[20], y[13], y[9]) +1*v_153(k, M, y[16], y[10], y[21]) +1*v_301(k, M, y[27], y[29], y[10], y[2]) +1*v_303(k, M, y[14], y[29], y[3], y[10]) -1*v_305(k, M, y[10], y[36], y[13], y[27]) +1*v_307(k, M, y[10], y[36], y[9], y[15]) -1*v_317(k, M, y[10], y[37], y[9], y[2]) -1*v_323(k, M, y[10], y[35], y[2], y[6]) +1*v_333(k, M, y[27], y[35], y[37], y[10]) +1*v_337(k, M, y[27], y[14], y[10], y[8]) -1*v_339(k, M, y[10], y[3], y[8], y[2]) +1*v_345(k, M, y[30], y[3], y[23], y[10]) +1*v_347(k, M, y[30], y[3], y[10], y[1]) +1*v_349(k, M, y[27], y[3], y[23], y[10]) +1*v_353(k, M, y[10], y[35], y[13], y[34]) -1*v_359(k, M, y[10], y[19], y[34], y[2]) -1*v_365(k, M, y[10], y[17], y[7], y[33]) -1*v_367(k, M, y[10], y[19], y[5], y[33]) -1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) +1*v_399(k, M, y[40], y[10], y[16]) -1*v_405(k, M, y[10], y[25], y[9], y[24]) -1*v_407(k, M, y[10], y[13], y[22], y[24]) -1*v_409(k, M, y[10], y[20], y[3], y[24]) -1*v_425(k, M, y[10], y[25], y[3], y[13]) -1*v_435(k, M, y[10], y[13], y[24], y[43]) -1*v_471(k, M, y[10], y[36], y[13]) -1*v_479(k, M, y[10], y[14], y[8]) -1*v_481(k, M, y[10], y[27]) -1*v_481(k, M, y[10], y[27]) -1*v_483(k, M, y[10], y[3], y[23]) -1*v_485(k, M, y[10], y[5], y[19]) -1*v_487(k, M, y[10], y[7], y[6]) -1*v_489(k, M, y[10], y[13], y[9]) +1*v_507(k, M, y[16], y[10]) +1*v_577(k, M, y[10], y[9], y[15]) +1*v_591(k, M, y[10], y[29], y[2]) +1*v_597(k, M, y[10], y[0], y[2]) +1*v_617(k, M, y[10], y[13], y[9]) +1*v_625(k, M, y[27], y[10]) +1*v_625(k, M, y[27], y[10]) +1*v_627(k, M, y[27], y[10], y[16]) +1*v_639(k, M, y[10], y[36], y[13]) +1*v_651(k, M, y[10], y[3], y[23])
    dydt[11] =  +1*v_7(k, M, y[10], y[8], y[11], y[9]) +1*v_11(k, M, y[14], y[7], y[11], y[5]) +1*v_33(k, M, y[7], y[21], y[5], y[11]) +1*v_39(k, M, y[14], y[7], y[11], y[2]) +1*v_81(k, M, y[14], y[13], y[15], y[11]) -1*v_87(k, M, y[26], y[9], y[13], y[11]) +1*v_91(k, M, y[14], y[10], y[13], y[11]) +1*v_127(k, M, y[10], y[13], y[21], y[11]) +1*v_157(k, M, y[16], y[13], y[21], y[11]) +1*v_175(k, M, y[21], y[22], y[11], y[24]) +1*v_179(k, M, y[23], y[21], y[11], y[22]) +1*v_187(k, M, y[19], y[21], y[11], y[6]) +1*v_189(k, M, y[4], y[21], y[11], y[6]) +1*v_191(k, M, y[20], y[21], y[9], y[11]) +1*v_193(k, M, y[9], y[21], y[11]) -1*v_195(k, M, y[14], y[32], y[11], y[9]) -1*v_197(k, M, y[30], y[6], y[11], y[1]) -1*v_199(k, M, y[9], y[31], y[11], y[4]) -1*v_201(k, M, y[11], y[9]) +1*v_201(k, M, y[11], y[9]) +1*v_203(k, M, y[14], y[23], y[11], y[22]) +1*v_211(k, M, y[14], y[18], y[11], y[17]) +1*v_213(k, M, y[14], y[17], y[11], y[19]) +1*v_215(k, M, y[14], y[29], y[11], y[6]) +1*v_217(k, M, y[14], y[20], y[11], y[9]) +1*v_233(k, M, y[9], y[11], y[22], y[6]) +1*v_239(k, M, y[9], y[23], y[19], y[11]) +1*v_249(k, M, y[9], y[11], y[19], y[1]) +1*v_253(k, M, y[9], y[11], y[4], y[1]) +1*v_319(k, M, y[0], y[3], y[37], y[11]) +1*v_363(k, M, y[14], y[35], y[11], y[34]) +1*v_369(k, M, y[17], y[23], y[11], y[33]) +1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) +1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) -1*v_403(k, M, y[35], y[11], y[9], y[38]) +1*v_433(k, M, y[14], y[25], y[3], y[11]) +1*v_439(k, M, y[14], y[11], y[24], y[43]) +1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) -1*v_491(k, M, y[16], y[28], y[11]) -1*v_509(k, M, y[31], y[11], y[6]) +1*v_519(k, M, y[14], y[9], y[11]) -1*v_649(k, M, y[14], y[11], y[9]) -1*v_663(k, M, y[52], y[11])
    dydt[12] =  -1*v_9(k, M, y[12], y[13]) +1*v_469(k, M, y[12], y[13]) -1*v_641(k, M, y[12], y[13])
    dydt[13] =  +1*v_9(k, M, y[12], y[13]) +1*v_9(k, M, y[12], y[13]) -1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) -1*v_15(k, M, y[7], y[13], y[5], y[15]) +1*v_17(k, M, y[10], y[7], y[13], y[5]) +1*v_19(k, M, y[16], y[7], y[13], y[5]) -1*v_41(k, M, y[7], y[13], y[15], y[2]) +1*v_45(k, M, y[10], y[7], y[13], y[2]) -1*v_77(k, M, y[0], y[13], y[9], y[2]) +1*v_79(k, M, y[16], y[13], y[15]) +1*v_79(k, M, y[16], y[13], y[15]) +1*v_81(k, M, y[14], y[13], y[15], y[11]) -1*v_87(k, M, y[26], y[9], y[13], y[11]) -1*v_89(k, M, y[14], y[8], y[13], y[9]) -1*v_91(k, M, y[14], y[10], y[13], y[11]) -1*v_93(k, M, y[10], y[13], y[15]) -1*v_93(k, M, y[10], y[13], y[15]) -1*v_95(k, M, y[10], y[13], y[9], y[27]) -1*v_97(k, M, y[16], y[13], y[9], y[27]) -1*v_99(k, M, y[25], y[9], y[13], y[22]) -1*v_101(k, M, y[23], y[13], y[22], y[15]) -1*v_103(k, M, y[23], y[3], y[13], y[9]) -1*v_105(k, M, y[3], y[13], y[9], y[1]) -1*v_107(k, M, y[18], y[13], y[15], y[17]) -1*v_109(k, M, y[17], y[19], y[13], y[15]) -1*v_111(k, M, y[5], y[9], y[13], y[19]) -1*v_113(k, M, y[13], y[19], y[15], y[6]) -1*v_115(k, M, y[5], y[9], y[13], y[4]) -1*v_117(k, M, y[7], y[13], y[9], y[6]) -1*v_119(k, M, y[20], y[13], y[2], y[6]) -1*v_121(k, M, y[13], y[9], y[2], y[6]) -1*v_123(k, M, y[20], y[9], y[13], y[15]) +1*v_127(k, M, y[10], y[13], y[21], y[11]) +1*v_135(k, M, y[10], y[23], y[13], y[22]) +1*v_137(k, M, y[10], y[18], y[13], y[17]) +1*v_149(k, M, y[10], y[29], y[13], y[6]) +1*v_151(k, M, y[10], y[20], y[13], y[9]) +1*v_157(k, M, y[16], y[13], y[21], y[11]) +1*v_161(k, M, y[16], y[18], y[13], y[17]) +1*v_173(k, M, y[16], y[20], y[13], y[9]) +1*v_305(k, M, y[10], y[36], y[13], y[27]) +1*v_309(k, M, y[36], y[13], y[9]) +1*v_309(k, M, y[36], y[13], y[9]) -1*v_313(k, M, y[27], y[36], y[13], y[15]) +1*v_329(k, M, y[27], y[13], y[2], y[6]) -1*v_353(k, M, y[10], y[35], y[13], y[34]) -1*v_355(k, M, y[35], y[13], y[19], y[2]) +1*v_357(k, M, y[36], y[35], y[13], y[37]) -1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) +1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) -1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) +1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) +1*v_407(k, M, y[10], y[13], y[22], y[24]) -1*v_413(k, M, y[22], y[13], y[15], y[24]) +1*v_425(k, M, y[10], y[25], y[3], y[13]) -1*v_429(k, M, y[25], y[3], y[13], y[15]) +1*v_435(k, M, y[10], y[13], y[24], y[43]) -1*v_437(k, M, y[13], y[15], y[24], y[43]) -1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) -1*v_467(k, M, y[14], y[13], y[26]) -1*v_469(k, M, y[12], y[13]) -1*v_469(k, M, y[12], y[13]) -1*v_471(k, M, y[10], y[36], y[13]) -1*v_473(k, M, y[16], y[36], y[13]) -1*v_475(k, M, y[17], y[13], y[45]) -1*v_477(k, M, y[13], y[9], y[15]) +1*v_489(k, M, y[10], y[13], y[9]) +1*v_505(k, M, y[16], y[13], y[9]) +1*v_573(k, M, y[9], y[13], y[15]) -1*v_617(k, M, y[10], y[13], y[9]) +1*v_629(k, M, y[45], y[13], y[17]) +1*v_639(k, M, y[10], y[36], y[13]) +1*v_641(k, M, y[12], y[13]) +1*v_641(k, M, y[12], y[13])
    dydt[14] =  -1*v_11(k, M, y[14], y[7], y[11], y[5]) -1*v_39(k, M, y[14], y[7], y[11], y[2]) -1*v_81(k, M, y[14], y[13], y[15], y[11]) -1*v_89(k, M, y[14], y[8], y[13], y[9]) -1*v_91(k, M, y[14], y[10], y[13], y[11]) -1*v_129(k, M, y[10], y[14], y[23], y[2]) -1*v_131(k, M, y[10], y[14], y[2], y[1]) -1*v_159(k, M, y[16], y[14], y[2], y[1]) -1*v_195(k, M, y[14], y[32], y[11], y[9]) -1*v_203(k, M, y[14], y[23], y[11], y[22]) -1*v_205(k, M, y[14], y[30], y[22], y[6]) -1*v_207(k, M, y[14], y[29], y[30], y[23]) -1*v_209(k, M, y[14], y[29], y[30], y[1]) -1*v_211(k, M, y[14], y[18], y[11], y[17]) -1*v_213(k, M, y[14], y[17], y[11], y[19]) -1*v_215(k, M, y[14], y[29], y[11], y[6]) -1*v_217(k, M, y[14], y[20], y[11], y[9]) +1*v_241(k, M, y[14], y[9], y[23], y[4]) +1*v_243(k, M, y[14], y[23], y[9], y[6]) +1*v_251(k, M, y[14], y[9], y[19], y[1]) +1*v_255(k, M, y[14], y[6], y[9], y[1]) +1*v_303(k, M, y[14], y[29], y[3], y[10]) -1*v_337(k, M, y[27], y[14], y[10], y[8]) -1*v_361(k, M, y[14], y[38], y[9], y[34]) -1*v_363(k, M, y[14], y[35], y[11], y[34]) -1*v_375(k, M, y[14], y[9], y[33], y[39]) -1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) -1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) -1*v_433(k, M, y[14], y[25], y[3], y[11]) -1*v_439(k, M, y[14], y[11], y[24], y[43]) -1*v_453(k, M, y[41], y[14], y[9], y[34], y[46]) -1*v_467(k, M, y[14], y[13], y[26]) -1*v_479(k, M, y[10], y[14], y[8]) -1*v_493(k, M, y[16], y[14], y[8]) -1*v_511(k, M, y[14], y[32]) -1*v_511(k, M, y[14], y[32]) -1*v_513(k, M, y[14], y[17], y[46]) -1*v_515(k, M, y[14], y[31], y[19]) -1*v_517(k, M, y[14], y[31], y[4]) -1*v_519(k, M, y[14], y[9], y[11]) +1*v_649(k, M, y[14], y[11], y[9])
    dydt[15] =  +1*v_13(k, M, y[9], y[5], y[15], y[13], y[2]) +1*v_15(k, M, y[7], y[13], y[5], y[15]) +1*v_41(k, M, y[7], y[13], y[15], y[2]) -1*v_79(k, M, y[16], y[13], y[15]) -1*v_81(k, M, y[14], y[13], y[15], y[11]) -1*v_83(k, M, y[25], y[9], y[15], y[1]) -1*v_85(k, M, y[5], y[9], y[15], y[6]) +1*v_93(k, M, y[10], y[13], y[15]) +1*v_101(k, M, y[23], y[13], y[22], y[15]) +1*v_107(k, M, y[18], y[13], y[15], y[17]) +1*v_109(k, M, y[17], y[19], y[13], y[15]) +1*v_113(k, M, y[13], y[19], y[15], y[6]) +1*v_123(k, M, y[20], y[9], y[13], y[15]) +1*v_307(k, M, y[10], y[36], y[9], y[15]) +1*v_313(k, M, y[27], y[36], y[13], y[15]) +1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) +1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) +1*v_411(k, M, y[30], y[3], y[15], y[24]) +1*v_413(k, M, y[22], y[13], y[15], y[24]) +1*v_415(k, M, y[25], y[36], y[15], y[24]) +1*v_429(k, M, y[25], y[3], y[13], y[15]) +1*v_437(k, M, y[13], y[15], y[24], y[43]) +1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) +1*v_477(k, M, y[13], y[9], y[15]) +1*v_503(k, M, y[16], y[20], y[15]) -1*v_571(k, M, y[47], y[15]) -1*v_573(k, M, y[9], y[13], y[15]) -1*v_575(k, M, y[16], y[20], y[15]) -1*v_577(k, M, y[10], y[9], y[15])
    dydt[16] =  -1*v_19(k, M, y[16], y[7], y[13], y[5]) -1*v_47(k, M, y[16], y[7], y[9], y[0]) -1*v_79(k, M, y[16], y[13], y[15]) -1*v_97(k, M, y[16], y[13], y[9], y[27]) -1*v_153(k, M, y[16], y[10], y[21]) -1*v_155(k, M, y[16], y[21], y[9], y[28]) -1*v_157(k, M, y[16], y[13], y[21], y[11]) -1*v_159(k, M, y[16], y[14], y[2], y[1]) -1*v_161(k, M, y[16], y[18], y[13], y[17]) -1*v_163(k, M, y[16], y[17], y[9], y[5]) -1*v_165(k, M, y[16], y[9], y[7], y[19]) -1*v_167(k, M, y[16], y[9], y[4], y[2]) -1*v_169(k, M, y[16], y[20], y[4], y[2]) -1*v_171(k, M, y[16], y[9], y[2], y[6]) -1*v_173(k, M, y[16], y[20], y[13], y[9]) -1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) -1*v_399(k, M, y[40], y[10], y[16]) -1*v_461(k, M, y[16], y[0], y[2]) -1*v_473(k, M, y[16], y[36], y[13]) -1*v_491(k, M, y[16], y[28], y[11]) -1*v_493(k, M, y[16], y[14], y[8]) -1*v_495(k, M, y[16], y[27]) -1*v_495(k, M, y[16], y[27]) -1*v_497(k, M, y[16], y[18], y[45]) -1*v_499(k, M, y[16], y[5], y[4]) -1*v_501(k, M, y[16], y[7], y[6]) -1*v_503(k, M, y[16], y[20], y[15]) -1*v_505(k, M, y[16], y[13], y[9]) -1*v_507(k, M, y[16], y[10]) +1*v_575(k, M, y[16], y[20], y[15]) +1*v_599(k, M, y[16], y[0], y[2]) +1*v_627(k, M, y[27], y[10], y[16])
    dydt[17] =  -1*v_21(k, M, y[17], y[7], y[18], y[5]) +1*v_23(k, M, y[17], y[7], y[19], y[5]) +1*v_25(k, M, y[7], y[17], y[4], y[5]) +1*v_27(k, M, y[17], y[5], y[2], y[6]) -1*v_61(k, M, y[17], y[7], y[18], y[2]) +1*v_63(k, M, y[17], y[7], y[19], y[2]) +1*v_65(k, M, y[17], y[7], y[4], y[2]) +1*v_107(k, M, y[18], y[13], y[15], y[17]) -1*v_109(k, M, y[17], y[19], y[13], y[15]) +1*v_137(k, M, y[10], y[18], y[13], y[17]) -1*v_139(k, M, y[10], y[17], y[9], y[5]) +1*v_161(k, M, y[16], y[18], y[13], y[17]) -1*v_163(k, M, y[16], y[17], y[9], y[5]) +1*v_211(k, M, y[14], y[18], y[11], y[17]) -1*v_213(k, M, y[14], y[17], y[11], y[19]) -1*v_227(k, M, y[17], y[21], y[22], y[20]) -1*v_237(k, M, y[21], y[17], y[23], y[9]) -1*v_247(k, M, y[17], y[21], y[9], y[1]) +1*v_259(k, M, y[18], y[4], y[17]) +1*v_259(k, M, y[18], y[4], y[17]) +1*v_263(k, M, y[18], y[9], y[20], y[17]) -1*v_265(k, M, y[17], y[19], y[18]) -1*v_265(k, M, y[17], y[19], y[18]) -1*v_267(k, M, y[17], y[9], y[19], y[33]) -1*v_269(k, M, y[17], y[9], y[4], y[33]) -1*v_271(k, M, y[17], y[33], y[6]) -1*v_273(k, M, y[17], y[9], y[34], y[6]) -1*v_275(k, M, y[17], y[19], y[9], y[20]) +1*v_291(k, M, y[20], y[9], y[4], y[17]) +1*v_325(k, M, y[18], y[35], y[34], y[17]) +1*v_365(k, M, y[10], y[17], y[7], y[33]) +1*v_369(k, M, y[17], y[23], y[11], y[33]) -1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) +1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) +1*v_387(k, M, y[40], y[17], y[33], y[6]) -1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) +1*v_423(k, M, y[17], y[18], y[24], y[43]) +1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) +1*v_447(k, M, y[45], y[25], y[23], y[17]) -1*v_457(k, M, y[17], y[7], y[44]) -1*v_475(k, M, y[17], y[13], y[45]) -1*v_513(k, M, y[14], y[17], y[46]) -1*v_537(k, M, y[40], y[17]) -1*v_537(k, M, y[40], y[17]) -1*v_539(k, M, y[17], y[9], y[18]) +1*v_543(k, M, y[17], y[9], y[19]) +1*v_549(k, M, y[17], y[9], y[4]) +1*v_553(k, M, y[20], y[17], y[6]) +1*v_579(k, M, y[18], y[9], y[17]) -1*v_587(k, M, y[17], y[20], y[6]) -1*v_589(k, M, y[17], y[9], y[4]) +1*v_615(k, M, y[40], y[17]) +1*v_615(k, M, y[40], y[17]) +1*v_629(k, M, y[45], y[13], y[17]) +1*v_637(k, M, y[17], y[7], y[44])
    dydt[18] =  +1*v_21(k, M, y[17], y[7], y[18], y[5]) +1*v_61(k, M, y[17], y[7], y[18], y[2]) -1*v_107(k, M, y[18], y[13], y[15], y[17]) -1*v_137(k, M, y[10], y[18], y[13], y[17]) -1*v_161(k, M, y[16], y[18], y[13], y[17]) -1*v_211(k, M, y[14], y[18], y[11], y[17]) -1*v_245(k, M, y[18], y[21], y[20], y[1]) -1*v_259(k, M, y[18], y[4], y[17]) -1*v_261(k, M, y[18], y[9], y[33], y[6]) -1*v_263(k, M, y[18], y[9], y[20], y[17]) +1*v_265(k, M, y[17], y[19], y[18]) -1*v_325(k, M, y[18], y[35], y[34], y[17]) +1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) +1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) -1*v_423(k, M, y[17], y[18], y[24], y[43]) +1*v_445(k, M, y[18], y[7], y[9], y[44]) -1*v_497(k, M, y[16], y[18], y[45]) -1*v_535(k, M, y[40], y[18], y[4]) +1*v_539(k, M, y[17], y[9], y[18]) +1*v_547(k, M, y[20], y[4], y[18]) -1*v_579(k, M, y[18], y[9], y[17]) -1*v_581(k, M, y[18], y[4], y[20]) -1*v_583(k, M, y[18], y[9], y[4]) -1*v_585(k, M, y[18], y[9], y[20], y[6]) +1*v_613(k, M, y[40], y[18], y[4]) +1*v_635(k, M, y[18], y[2], y[44])
    dydt[19] =  -1*v_23(k, M, y[17], y[7], y[19], y[5]) +1*v_29(k, M, y[7], y[19], y[5], y[6]) -1*v_63(k, M, y[17], y[7], y[19], y[2]) +1*v_67(k, M, y[7], y[19], y[2], y[6]) +1*v_109(k, M, y[17], y[19], y[13], y[15]) -1*v_111(k, M, y[5], y[9], y[13], y[19]) -1*v_113(k, M, y[13], y[19], y[15], y[6]) -1*v_141(k, M, y[10], y[9], y[19], y[2]) -1*v_143(k, M, y[10], y[20], y[19], y[2]) -1*v_165(k, M, y[16], y[9], y[7], y[19]) +1*v_177(k, M, y[23], y[30], y[21], y[19]) +1*v_181(k, M, y[30], y[21], y[19], y[1]) +1*v_187(k, M, y[19], y[21], y[11], y[6]) +1*v_213(k, M, y[14], y[17], y[11], y[19]) -1*v_229(k, M, y[9], y[19], y[21], y[22]) -1*v_239(k, M, y[9], y[23], y[19], y[11]) -1*v_249(k, M, y[9], y[11], y[19], y[1]) -1*v_251(k, M, y[14], y[9], y[19], y[1]) +1*v_265(k, M, y[17], y[19], y[18]) -1*v_267(k, M, y[17], y[9], y[19], y[33]) +1*v_275(k, M, y[17], y[19], y[9], y[20]) -1*v_277(k, M, y[20], y[19], y[34]) -1*v_277(k, M, y[20], y[19], y[34]) -1*v_279(k, M, y[9], y[4], y[19], y[34]) -1*v_281(k, M, y[9], y[19], y[34], y[6]) -1*v_283(k, M, y[9], y[35], y[19], y[6]) -1*v_285(k, M, y[20], y[9], y[19], y[6]) +1*v_295(k, M, y[9], y[19], y[4]) +1*v_315(k, M, y[19], y[37], y[9], y[2]) +1*v_355(k, M, y[35], y[13], y[19], y[2]) +1*v_359(k, M, y[10], y[19], y[34], y[2]) +1*v_367(k, M, y[10], y[19], y[5], y[33]) -1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) -1*v_485(k, M, y[10], y[5], y[19]) -1*v_515(k, M, y[14], y[31], y[19]) -1*v_521(k, M, y[21], y[23], y[19]) -1*v_527(k, M, y[21], y[19], y[1]) -1*v_541(k, M, y[19], y[33]) -1*v_541(k, M, y[19], y[33]) -1*v_543(k, M, y[17], y[9], y[19]) +1*v_555(k, M, y[19], y[9], y[6]) +1*v_563(k, M, y[19], y[4]) +1*v_567(k, M, y[29], y[19], y[20]) -1*v_657(k, M, y[9], y[19], y[6])
    dydt[20] =  +1*v_31(k, M, y[7], y[20], y[9], y[5]) +1*v_37(k, M, y[20], y[7], y[2]) +1*v_71(k, M, y[20], y[7], y[9], y[2]) +1*v_119(k, M, y[20], y[13], y[2], y[6]) -1*v_123(k, M, y[20], y[9], y[13], y[15]) +1*v_143(k, M, y[10], y[20], y[19], y[2]) -1*v_151(k, M, y[10], y[20], y[13], y[9]) +1*v_169(k, M, y[16], y[20], y[4], y[2]) -1*v_173(k, M, y[16], y[20], y[13], y[9]) +1*v_191(k, M, y[20], y[21], y[9], y[11]) -1*v_217(k, M, y[14], y[20], y[11], y[9]) +1*v_227(k, M, y[17], y[21], y[22], y[20]) +1*v_235(k, M, y[20], y[9], y[23], y[22]) +1*v_245(k, M, y[18], y[21], y[20], y[1]) -1*v_257(k, M, y[20], y[9], y[22], y[1]) +1*v_263(k, M, y[18], y[9], y[20], y[17]) +1*v_275(k, M, y[17], y[19], y[9], y[20]) +1*v_277(k, M, y[20], y[19], y[34]) +1*v_285(k, M, y[20], y[9], y[19], y[6]) +1*v_287(k, M, y[20], y[4], y[34]) -1*v_291(k, M, y[20], y[9], y[4], y[17]) +1*v_293(k, M, y[20], y[9], y[4], y[6]) +1*v_299(k, M, y[29], y[9], y[20], y[6]) +1*v_311(k, M, y[27], y[20], y[36], y[9]) -1*v_351(k, M, y[20], y[35], y[9], y[34]) +1*v_383(k, M, y[40], y[20], y[9], y[33]) +1*v_409(k, M, y[10], y[20], y[3], y[24]) -1*v_419(k, M, y[20], y[9], y[24], y[43]) +1*v_427(k, M, y[25], y[3], y[9], y[20]) +1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) +1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) -1*v_503(k, M, y[16], y[20], y[15]) -1*v_547(k, M, y[20], y[4], y[18]) -1*v_553(k, M, y[20], y[17], y[6]) +1*v_559(k, M, y[20], y[9]) -1*v_567(k, M, y[29], y[19], y[20]) +1*v_575(k, M, y[16], y[20], y[15]) +1*v_581(k, M, y[18], y[4], y[20]) +1*v_585(k, M, y[18], y[9], y[20], y[6]) +1*v_587(k, M, y[17], y[20], y[6]) -1*v_593(k, M, y[20], y[9]) +1*v_601(k, M, y[20], y[33], y[34]) +1*v_607(k, M, y[40], y[20], y[33]) +1*v_611(k, M, y[40], y[20], y[34]) +1*v_611(k, M, y[40], y[20], y[34]) +1*v_621(k, M, y[20], y[5], y[2]) +1*v_631(k, M, y[45], y[5], y[20])
    dydt[21] =  -1*v_33(k, M, y[7], y[21], y[5], y[11]) -1*v_125(k, M, y[10], y[21], y[9], y[28]) -1*v_127(k, M, y[10], y[13], y[21], y[11]) -1*v_153(k, M, y[16], y[10], y[21]) +1*v_153(k, M, y[16], y[10], y[21]) -1*v_155(k, M, y[16], y[21], y[9], y[28]) -1*v_157(k, M, y[16], y[13], y[21], y[11]) -1*v_175(k, M, y[21], y[22], y[11], y[24]) -1*v_177(k, M, y[23], y[30], y[21], y[19]) -1*v_179(k, M, y[23], y[21], y[11], y[22]) -1*v_181(k, M, y[30], y[21], y[19], y[1]) -1*v_183(k, M, y[30], y[21], y[4], y[1]) -1*v_185(k, M, y[31], y[21], y[9], y[6]) -1*v_187(k, M, y[19], y[21], y[11], y[6]) -1*v_189(k, M, y[4], y[21], y[11], y[6]) -1*v_191(k, M, y[20], y[21], y[9], y[11]) -1*v_193(k, M, y[9], y[21], y[11]) +1*v_227(k, M, y[17], y[21], y[22], y[20]) +1*v_229(k, M, y[9], y[19], y[21], y[22]) +1*v_231(k, M, y[9], y[4], y[21], y[22]) +1*v_237(k, M, y[21], y[17], y[23], y[9]) +1*v_245(k, M, y[18], y[21], y[20], y[1]) +1*v_247(k, M, y[17], y[21], y[9], y[1]) +1*v_521(k, M, y[21], y[23], y[19]) +1*v_527(k, M, y[21], y[19], y[1]) +1*v_529(k, M, y[21], y[4], y[1])
    dydt[22] =  -1*v_49(k, M, y[5], y[7], y[23], y[22]) -1*v_51(k, M, y[7], y[22], y[2], y[24]) +1*v_55(k, M, y[7], y[23], y[22], y[2]) +1*v_59(k, M, y[7], y[22], y[2], y[1]) -1*v_99(k, M, y[25], y[9], y[13], y[22]) -1*v_101(k, M, y[23], y[13], y[22], y[15]) -1*v_133(k, M, y[10], y[9], y[3], y[22]) -1*v_135(k, M, y[10], y[23], y[13], y[22]) -1*v_175(k, M, y[21], y[22], y[11], y[24]) +1*v_179(k, M, y[23], y[21], y[11], y[22]) -1*v_203(k, M, y[14], y[23], y[11], y[22]) -1*v_205(k, M, y[14], y[30], y[22], y[6]) -1*v_219(k, M, y[30], y[9], y[22]) -1*v_219(k, M, y[30], y[9], y[22]) -1*v_221(k, M, y[23], y[22], y[24]) -1*v_221(k, M, y[23], y[22], y[24]) -1*v_223(k, M, y[30], y[9], y[23], y[22]) -1*v_225(k, M, y[30], y[9], y[22], y[1]) -1*v_227(k, M, y[17], y[21], y[22], y[20]) -1*v_229(k, M, y[9], y[19], y[21], y[22]) -1*v_231(k, M, y[9], y[4], y[21], y[22]) -1*v_233(k, M, y[9], y[11], y[22], y[6]) -1*v_235(k, M, y[20], y[9], y[23], y[22]) +1*v_257(k, M, y[20], y[9], y[22], y[1]) +1*v_341(k, M, y[8], y[9], y[22], y[2]) +1*v_407(k, M, y[10], y[13], y[22], y[24]) +1*v_413(k, M, y[22], y[13], y[15], y[24]) +1*v_525(k, M, y[23], y[9], y[22]) +1*v_533(k, M, y[9], y[22], y[1]) +1*v_647(k, M, y[9], y[22], y[43]) +1*v_653(k, M, y[50], y[22], y[2])
    dydt[23] =  +1*v_49(k, M, y[5], y[7], y[23], y[22]) -1*v_53(k, M, y[7], y[8], y[23], y[9]) -1*v_55(k, M, y[7], y[23], y[22], y[2]) +1*v_101(k, M, y[23], y[13], y[22], y[15]) -1*v_103(k, M, y[23], y[3], y[13], y[9]) +1*v_129(k, M, y[10], y[14], y[23], y[2]) +1*v_135(k, M, y[10], y[23], y[13], y[22]) -1*v_177(k, M, y[23], y[30], y[21], y[19]) -1*v_179(k, M, y[23], y[21], y[11], y[22]) +1*v_203(k, M, y[14], y[23], y[11], y[22]) -1*v_207(k, M, y[14], y[29], y[30], y[23]) +1*v_221(k, M, y[23], y[22], y[24]) -1*v_223(k, M, y[30], y[9], y[23], y[22]) +1*v_235(k, M, y[20], y[9], y[23], y[22]) -1*v_237(k, M, y[21], y[17], y[23], y[9]) -1*v_239(k, M, y[9], y[23], y[19], y[11]) -1*v_241(k, M, y[14], y[9], y[23], y[4]) -1*v_243(k, M, y[14], y[23], y[9], y[6]) -1*v_345(k, M, y[30], y[3], y[23], y[10]) -1*v_349(k, M, y[27], y[3], y[23], y[10]) -1*v_369(k, M, y[17], y[23], y[11], y[33]) -1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) -1*v_447(k, M, y[45], y[25], y[23], y[17]) -1*v_483(k, M, y[10], y[3], y[23]) -1*v_521(k, M, y[21], y[23], y[19]) -1*v_523(k, M, y[30], y[23]) -1*v_523(k, M, y[30], y[23]) -1*v_525(k, M, y[23], y[9], y[22]) +1*v_561(k, M, y[23], y[1]) +1*v_643(k, M, y[30], y[23]) +1*v_643(k, M, y[30], y[23]) +1*v_651(k, M, y[10], y[3], y[23])
    dydt[24] =  +1*v_51(k, M, y[7], y[22], y[2], y[24]) +1*v_175(k, M, y[21], y[22], y[11], y[24]) +1*v_221(k, M, y[23], y[22], y[24]) -1*v_405(k, M, y[10], y[25], y[9], y[24]) -1*v_407(k, M, y[10], y[13], y[22], y[24]) -1*v_409(k, M, y[10], y[20], y[3], y[24]) -1*v_411(k, M, y[30], y[3], y[15], y[24]) -1*v_413(k, M, y[22], y[13], y[15], y[24]) -1*v_415(k, M, y[25], y[36], y[15], y[24]) -1*v_417(k, M, y[27], y[36], y[24], y[43]) -1*v_419(k, M, y[20], y[9], y[24], y[43]) -1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) -1*v_423(k, M, y[17], y[18], y[24], y[43]) +1*v_435(k, M, y[10], y[13], y[24], y[43]) +1*v_437(k, M, y[13], y[15], y[24], y[43]) +1*v_439(k, M, y[14], y[11], y[24], y[43]) +1*v_645(k, M, y[9], y[24], y[43])
    dydt[25] =  +1*v_83(k, M, y[25], y[9], y[15], y[1]) +1*v_99(k, M, y[25], y[9], y[13], y[22]) +1*v_405(k, M, y[10], y[25], y[9], y[24]) +1*v_415(k, M, y[25], y[36], y[15], y[24]) -1*v_425(k, M, y[10], y[25], y[3], y[13]) -1*v_427(k, M, y[25], y[3], y[9], y[20]) -1*v_429(k, M, y[25], y[3], y[13], y[15]) -1*v_431(k, M, y[25], y[7], y[3], y[5]) -1*v_433(k, M, y[14], y[25], y[3], y[11]) +1*v_447(k, M, y[45], y[25], y[23], y[17])
    dydt[26] =  +1*v_87(k, M, y[26], y[9], y[13], y[11]) +1*v_467(k, M, y[14], y[13], y[26])
    dydt[27] =  +1*v_95(k, M, y[10], y[13], y[9], y[27]) +1*v_97(k, M, y[16], y[13], y[9], y[27]) -1*v_301(k, M, y[27], y[29], y[10], y[2]) +1*v_305(k, M, y[10], y[36], y[13], y[27]) +1*v_311(k, M, y[27], y[20], y[36], y[9]) +1*v_313(k, M, y[27], y[36], y[13], y[15]) -1*v_327(k, M, y[27], y[3], y[0], y[8]) -1*v_329(k, M, y[27], y[13], y[2], y[6]) -1*v_331(k, M, y[27], y[36], y[7], y[2]) -1*v_333(k, M, y[27], y[35], y[37], y[10]) -1*v_335(k, M, y[27], y[7], y[35], y[2]) -1*v_337(k, M, y[27], y[14], y[10], y[8]) -1*v_349(k, M, y[27], y[3], y[23], y[10]) +1*v_417(k, M, y[27], y[36], y[24], y[43]) +1*v_481(k, M, y[10], y[27]) +1*v_495(k, M, y[16], y[27]) -1*v_569(k, M, y[27], y[36], y[9]) -1*v_625(k, M, y[27], y[10]) -1*v_627(k, M, y[27], y[10], y[16])
    dydt[28] =  +1*v_125(k, M, y[10], y[21], y[9], y[28]) +1*v_155(k, M, y[16], y[21], y[9], y[28]) +1*v_321(k, M, y[3], y[37], y[2], y[28]) +1*v_455(k, M, y[28], y[7], y[1]) +1*v_491(k, M, y[16], y[28], y[11])
    dydt[29] =  +1*v_149(k, M, y[10], y[29], y[13], y[6]) +1*v_207(k, M, y[14], y[29], y[30], y[23]) +1*v_209(k, M, y[14], y[29], y[30], y[1]) +1*v_215(k, M, y[14], y[29], y[11], y[6]) +1*v_299(k, M, y[29], y[9], y[20], y[6]) -1*v_301(k, M, y[27], y[29], y[10], y[2]) -1*v_303(k, M, y[14], y[29], y[3], y[10]) -1*v_567(k, M, y[29], y[19], y[20]) +1*v_591(k, M, y[10], y[29], y[2]) +1*v_659(k, M, y[29], y[9], y[6])
    dydt[30] =  +1*v_177(k, M, y[23], y[30], y[21], y[19]) +1*v_181(k, M, y[30], y[21], y[19], y[1]) +1*v_183(k, M, y[30], y[21], y[4], y[1]) +1*v_197(k, M, y[30], y[6], y[11], y[1]) +1*v_205(k, M, y[14], y[30], y[22], y[6]) +1*v_207(k, M, y[14], y[29], y[30], y[23]) +1*v_209(k, M, y[14], y[29], y[30], y[1]) +1*v_219(k, M, y[30], y[9], y[22]) +1*v_223(k, M, y[30], y[9], y[23], y[22]) +1*v_225(k, M, y[30], y[9], y[22], y[1]) +1*v_343(k, M, y[30], y[3], y[0], y[8]) +1*v_345(k, M, y[30], y[3], y[23], y[10]) +1*v_347(k, M, y[30], y[3], y[10], y[1]) +1*v_411(k, M, y[30], y[3], y[15], y[24]) +1*v_523(k, M, y[30], y[23]) +1*v_531(k, M, y[30], y[1]) -1*v_643(k, M, y[30], y[23])
    dydt[31] =  +1*v_185(k, M, y[31], y[21], y[9], y[6]) +1*v_199(k, M, y[9], y[31], y[11], y[4]) +1*v_509(k, M, y[31], y[11], y[6]) +1*v_515(k, M, y[14], y[31], y[19]) +1*v_517(k, M, y[14], y[31], y[4])
    dydt[32] =  +1*v_195(k, M, y[14], y[32], y[11], y[9]) +1*v_511(k, M, y[14], y[32])
    dydt[33] =  +1*v_261(k, M, y[18], y[9], y[33], y[6]) +1*v_267(k, M, y[17], y[9], y[19], y[33]) +1*v_269(k, M, y[17], y[9], y[4], y[33]) +1*v_271(k, M, y[17], y[33], y[6]) -1*v_365(k, M, y[10], y[17], y[7], y[33]) -1*v_367(k, M, y[10], y[19], y[5], y[33]) -1*v_369(k, M, y[17], y[23], y[11], y[33]) -1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) -1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) -1*v_375(k, M, y[14], y[9], y[33], y[39]) -1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) +1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) +1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) +1*v_383(k, M, y[40], y[20], y[9], y[33]) +1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) +1*v_387(k, M, y[40], y[17], y[33], y[6]) +1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) +1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) +1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) +1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) +1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) -1*v_451(k, M, y[9], y[46], y[33], y[1]) +1*v_541(k, M, y[19], y[33]) +1*v_545(k, M, y[4], y[33]) -1*v_601(k, M, y[20], y[33], y[34]) -1*v_603(k, M, y[9], y[33], y[34]) -1*v_605(k, M, y[9], y[33], y[48]) +1*v_607(k, M, y[40], y[20], y[33]) +1*v_609(k, M, y[40], y[9], y[33])
    dydt[34] =  +1*v_273(k, M, y[17], y[9], y[34], y[6]) +1*v_277(k, M, y[20], y[19], y[34]) +1*v_279(k, M, y[9], y[4], y[19], y[34]) +1*v_281(k, M, y[9], y[19], y[34], y[6]) +1*v_287(k, M, y[20], y[4], y[34]) +1*v_289(k, M, y[9], y[4], y[34], y[6]) +1*v_325(k, M, y[18], y[35], y[34], y[17]) +1*v_351(k, M, y[20], y[35], y[9], y[34]) +1*v_353(k, M, y[10], y[35], y[13], y[34]) -1*v_359(k, M, y[10], y[19], y[34], y[2]) -1*v_361(k, M, y[14], y[38], y[9], y[34]) -1*v_363(k, M, y[14], y[35], y[11], y[34]) +1*v_371(k, M, y[9], y[15], y[34], y[13], y[33]) +1*v_373(k, M, y[17], y[9], y[34], y[18], y[33]) +1*v_377(k, M, y[11], y[14], y[9], y[34], y[33]) +1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) +1*v_401(k, M, y[42], y[41], y[35], y[34]) +1*v_453(k, M, y[41], y[14], y[9], y[34], y[46]) +1*v_551(k, M, y[34], y[6]) +1*v_565(k, M, y[35], y[9], y[34]) -1*v_595(k, M, y[35], y[9], y[34]) +1*v_601(k, M, y[20], y[33], y[34]) +1*v_603(k, M, y[9], y[33], y[34]) +1*v_611(k, M, y[40], y[20], y[34])
    dydt[35] =  +1*v_283(k, M, y[9], y[35], y[19], y[6]) +1*v_297(k, M, y[35], y[9], y[6]) -1*v_323(k, M, y[10], y[35], y[2], y[6]) -1*v_325(k, M, y[18], y[35], y[34], y[17]) -1*v_333(k, M, y[27], y[35], y[37], y[10]) -1*v_335(k, M, y[27], y[7], y[35], y[2]) -1*v_351(k, M, y[20], y[35], y[9], y[34]) -1*v_353(k, M, y[10], y[35], y[13], y[34]) -1*v_355(k, M, y[35], y[13], y[19], y[2]) -1*v_357(k, M, y[36], y[35], y[13], y[37]) +1*v_363(k, M, y[14], y[35], y[11], y[34]) -1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) -1*v_401(k, M, y[42], y[41], y[35], y[34]) -1*v_403(k, M, y[35], y[11], y[9], y[38]) -1*v_565(k, M, y[35], y[9], y[34]) +1*v_595(k, M, y[35], y[9], y[34])
    dydt[36] =  -1*v_305(k, M, y[10], y[36], y[13], y[27]) -1*v_307(k, M, y[10], y[36], y[9], y[15]) -1*v_309(k, M, y[36], y[13], y[9]) -1*v_311(k, M, y[27], y[20], y[36], y[9]) -1*v_313(k, M, y[27], y[36], y[13], y[15]) +1*v_331(k, M, y[27], y[36], y[7], y[2]) -1*v_357(k, M, y[36], y[35], y[13], y[37]) -1*v_415(k, M, y[25], y[36], y[15], y[24]) -1*v_417(k, M, y[27], y[36], y[24], y[43]) +1*v_471(k, M, y[10], y[36], y[13]) +1*v_473(k, M, y[16], y[36], y[13]) +1*v_569(k, M, y[27], y[36], y[9]) -1*v_639(k, M, y[10], y[36], y[13])
    dydt[37] =  -1*v_315(k, M, y[19], y[37], y[9], y[2]) -1*v_317(k, M, y[10], y[37], y[9], y[2]) -1*v_319(k, M, y[0], y[3], y[37], y[11]) -1*v_321(k, M, y[3], y[37], y[2], y[28]) +1*v_333(k, M, y[27], y[35], y[37], y[10]) +1*v_357(k, M, y[36], y[35], y[13], y[37]) +1*v_463(k, M, y[37], y[2], y[6])
    dydt[38] =  +1*v_361(k, M, y[14], y[38], y[9], y[34]) +1*v_403(k, M, y[35], y[11], y[9], y[38])
    dydt[39] =  +1*v_375(k, M, y[14], y[9], y[33], y[39])
    dydt[40] =  -1*v_379(k, M, y[40], y[17], y[9], y[19], y[33]) -1*v_381(k, M, y[40], y[9], y[10], y[13], y[33]) -1*v_383(k, M, y[40], y[20], y[9], y[33]) -1*v_385(k, M, y[40], y[9], y[15], y[13], y[33]) -1*v_387(k, M, y[40], y[17], y[33], y[6]) -1*v_389(k, M, y[40], y[41], y[9], y[6]) -1*v_391(k, M, y[40], y[17], y[9], y[18], y[33]) -1*v_393(k, M, y[40], y[9], y[34], y[35], y[33]) -1*v_395(k, M, y[11], y[40], y[14], y[9], y[33]) -1*v_397(k, M, y[40], y[16], y[9], y[13], y[33]) -1*v_399(k, M, y[40], y[10], y[16]) +1*v_399(k, M, y[40], y[10], y[16]) -1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) +1*v_535(k, M, y[40], y[18], y[4]) +1*v_537(k, M, y[40], y[17]) -1*v_607(k, M, y[40], y[20], y[33]) -1*v_609(k, M, y[40], y[9], y[33]) -1*v_611(k, M, y[40], y[20], y[34]) -1*v_613(k, M, y[40], y[18], y[4]) -1*v_615(k, M, y[40], y[17])
    dydt[41] =  +1*v_389(k, M, y[40], y[41], y[9], y[6]) -1*v_401(k, M, y[42], y[41], y[35], y[34]) -1*v_453(k, M, y[41], y[14], y[9], y[34], y[46])
    dydt[42] =  +1*v_401(k, M, y[42], y[41], y[35], y[34])
    dydt[43] =  +1*v_417(k, M, y[27], y[36], y[24], y[43]) +1*v_419(k, M, y[20], y[9], y[24], y[43]) +1*v_421(k, M, y[40], y[9], y[43], y[33], y[24]) +1*v_423(k, M, y[17], y[18], y[24], y[43]) -1*v_435(k, M, y[10], y[13], y[24], y[43]) -1*v_437(k, M, y[13], y[15], y[24], y[43]) -1*v_439(k, M, y[14], y[11], y[24], y[43]) -1*v_645(k, M, y[9], y[24], y[43]) -1*v_647(k, M, y[9], y[22], y[43])
    dydt[44] =  -1*v_441(k, M, y[23], y[11], y[20], y[7], y[44]) -1*v_443(k, M, y[17], y[20], y[9], y[2], y[44]) -1*v_445(k, M, y[18], y[7], y[9], y[44]) +1*v_457(k, M, y[17], y[7], y[44]) -1*v_635(k, M, y[18], y[2], y[44]) -1*v_637(k, M, y[17], y[7], y[44])
    dydt[45] =  -1*v_447(k, M, y[45], y[25], y[23], y[17]) -1*v_449(k, M, y[45], y[9], y[5], y[15], y[13]) +1*v_475(k, M, y[17], y[13], y[45]) +1*v_497(k, M, y[16], y[18], y[45]) -1*v_629(k, M, y[45], y[13], y[17]) -1*v_631(k, M, y[45], y[5], y[20]) -1*v_633(k, M, y[45], y[9], y[49])
    dydt[46] =  +1*v_451(k, M, y[9], y[46], y[33], y[1]) +1*v_453(k, M, y[41], y[14], y[9], y[34], y[46]) +1*v_513(k, M, y[14], y[17], y[46])
    dydt[47] =  +1*v_571(k, M, y[47], y[15]) -1*v_661(k, M, y[47], y[51])
    dydt[48] =  +1*v_605(k, M, y[9], y[33], y[48])
    dydt[49] =  +1*v_633(k, M, y[45], y[9], y[49])
    dydt[50] =  -1*v_653(k, M, y[50], y[22], y[2]) -1*v_655(k, M, y[50], y[8], y[9])
    dydt[51] =  +1*v_661(k, M, y[47], y[51])
    dydt[52] =  +1*v_663(k, M, y[52], y[11])
    dydt = np.transpose(dydt) 
    return dydt 

def df(y, M, k):
    df_list = [] 
    df_list.append(  -(k[1]*y[0]*y[1] - k[2]*y[2]*y[3]) -(k[3]*y[0]*y[4] - k[4]*y[5]*y[2]) -(k[5]*y[0]*y[6] - k[6]*y[7]*y[2]) +(k[43]*y[7]*y[10] - k[44]*y[0]*y[9]) +(k[47]*y[7]*y[16] - k[48]*y[0]*y[9]) +(k[77]*y[2]*y[13] - k[78]*y[0]*y[9]) +(k[319]*y[37]*y[3] - k[320]*y[11]*y[0]) +(k[327]*y[27]*y[8] - k[328]*y[0]*y[3]) +(k[343]*y[8]*y[3] - k[344]*y[30]*y[0]) +(k[461]*y[2]*y[16]*M - k[462]*y[0]*M) -(k[597]*y[0] - k[598]*y[2]*y[10]) -(k[599]*y[0] - k[600]*y[2]*y[16]) )
    df_list.append(  -(k[1]*y[0]*y[1] - k[2]*y[2]*y[3]) -(k[57]*y[7]*y[1] - k[58]*y[8]*y[9]) -(k[59]*y[7]*y[1] - k[60]*y[2]*y[22]) -(k[83]*y[15]*y[1] - k[84]*y[25]*y[9]) -(k[105]*y[13]*y[1] - k[106]*y[3]*y[9]) +(k[131]*y[10]*y[14] - k[132]*y[2]*y[1]) +(k[159]*y[16]*y[14] - k[160]*y[2]*y[1]) -(k[181]*y[21]*y[1] - k[182]*y[30]*y[19]) -(k[183]*y[21]*y[1] - k[184]*y[30]*y[4]) -(k[197]*y[11]*y[1] - k[198]*y[30]*y[6]) -(k[209]*y[14]*y[1] - k[210]*y[30]*y[29]) -(k[225]*y[22]*y[1] - k[226]*y[30]*y[9]) -(k[245]*y[1]*y[18] - k[246]*y[21]*y[20]) -(k[247]*y[1]*y[17] - k[248]*y[21]*y[9]) -(k[249]*y[1]*y[19] - k[250]*y[11]*y[9]) -(k[251]*y[1]*y[19] - k[252]*y[14]*y[9]*y[9]) -(k[253]*y[1]*y[4] - k[254]*y[11]*y[9]) -(k[255]*y[1]*y[6] - k[256]*y[14]*y[9]) -(k[257]*y[1]*y[20] - k[258]*y[22]*y[9]) -(k[347]*y[3]*y[1] - k[348]*y[30]*y[10]) -(k[451]*y[33]*y[1] - k[452]*y[46]*y[9]) -(k[455]*y[7]*y[1]*M - k[456]*y[28]*M) -(k[527]*y[1]*y[19]*M - k[528]*y[21]*M) -(k[529]*y[1]*y[4]*M - k[530]*y[21]*M) -(k[531]*y[1]*y[1]*M - k[532]*y[30]*M) -(k[531]*y[1]*y[1]*M - k[532]*y[30]*M) -(k[533]*y[1]*y[9]*M - k[534]*y[22]*M) -(k[561]*y[1]*M - k[562]*y[23]*M) )
    df_list.append(  +(k[1]*y[0]*y[1] - k[2]*y[2]*y[3]) +(k[3]*y[0]*y[4] - k[4]*y[5]*y[2]) +(k[5]*y[0]*y[6] - k[6]*y[7]*y[2]) +(k[13]*y[5]*y[13] - k[14]*y[15]*y[2]*y[9]) +(k[27]*y[5]*y[6] - k[28]*y[2]*y[17]) +(k[35]*y[7]*y[7] - k[36]*y[5]*y[2]) +(k[37]*y[7]*y[7] - k[38]*y[2]*y[2]*y[20]) +(k[37]*y[7]*y[7] - k[38]*y[2]*y[2]*y[20]) +(k[39]*y[7]*y[14] - k[40]*y[2]*y[11]) +(k[41]*y[7]*y[13] - k[42]*y[2]*y[15]) +(k[45]*y[7]*y[10] - k[46]*y[2]*y[13]) +(k[51]*y[7]*y[22] - k[52]*y[2]*y[24]) +(k[55]*y[7]*y[23] - k[56]*y[2]*y[22]) +(k[59]*y[7]*y[1] - k[60]*y[2]*y[22]) +(k[61]*y[7]*y[17] - k[62]*y[2]*y[18]) +(k[63]*y[7]*y[19] - k[64]*y[2]*y[17]) +(k[65]*y[7]*y[4] - k[66]*y[2]*y[17]) +(k[67]*y[7]*y[6] - k[68]*y[2]*y[19]) +(k[69]*y[7]*y[6] - k[70]*y[2]*y[4]) +(k[71]*y[7]*y[9] - k[72]*y[2]*y[20]) +(k[73]*y[7]*y[9] - k[74]*y[2]*y[9]*y[9]) +(k[75]*y[7] - k[76]*y[2]*y[9]) -(k[77]*y[2]*y[13] - k[78]*y[0]*y[9]) +(k[119]*y[13]*y[6] - k[120]*y[2]*y[20]) +(k[121]*y[13]*y[6] - k[122]*y[2]*y[9]*y[9]) +(k[129]*y[10]*y[14] - k[130]*y[2]*y[23]) +(k[131]*y[10]*y[14] - k[132]*y[2]*y[1]) +(k[141]*y[10]*y[19] - k[142]*y[2]*y[9]*y[9]) +(k[143]*y[10]*y[19] - k[144]*y[2]*y[20]) +(k[147]*y[10]*y[6] - k[148]*y[2]*y[9]) +(k[159]*y[16]*y[14] - k[160]*y[2]*y[1]) +(k[167]*y[16]*y[4] - k[168]*y[2]*y[9]*y[9]) +(k[169]*y[16]*y[4] - k[170]*y[2]*y[20]) +(k[171]*y[16]*y[6] - k[172]*y[2]*y[9]) +(k[301]*y[29]*y[27] - k[302]*y[2]*y[10]) +(k[315]*y[37]*y[9] - k[316]*y[2]*y[19]) +(k[317]*y[37]*y[10] - k[318]*y[2]*y[2]*y[9]) +(k[317]*y[37]*y[10] - k[318]*y[2]*y[2]*y[9]) +(k[321]*y[37]*y[3] - k[322]*y[28]*y[2]) +(k[323]*y[35]*y[10] - k[324]*y[6]*y[2]) +(k[329]*y[27]*y[6] - k[330]*y[13]*y[2]) +(k[331]*y[27]*y[7] - k[332]*y[2]*y[36]) +(k[335]*y[27]*y[35] - k[336]*y[2]*y[7]) +(k[339]*y[8]*y[10] - k[340]*y[3]*y[2]) +(k[341]*y[8]*y[9] - k[342]*y[22]*y[2]) +(k[355]*y[35]*y[13] - k[356]*y[2]*y[19]) +(k[359]*y[34]*y[10] - k[360]*y[2]*y[19]) +(k[443]*y[44]*y[9] - k[444]*y[2]*y[20]*y[17]) -(k[461]*y[2]*y[16]*M - k[462]*y[0]*M) -(k[463]*y[2]*y[6]*M - k[464]*y[37]*M) -(k[465]*y[2]*y[9]*M - k[466]*y[7]*M) -(k[591]*y[2] - k[592]*y[29]*y[10]) +(k[597]*y[0] - k[598]*y[2]*y[10]) +(k[599]*y[0] - k[600]*y[2]*y[16]) +(k[619]*y[7] - k[620]*y[9]*y[2]) +(k[621]*y[5] - k[622]*y[20]*y[2]) +(k[635]*y[44] - k[636]*y[18]*y[2]) +(k[653]*y[50] - k[654]*y[22]*y[2]) )
    df_list.append(  +(k[1]*y[0]*y[1] - k[2]*y[2]*y[3]) +(k[103]*y[13]*y[23] - k[104]*y[3]*y[9]) +(k[105]*y[13]*y[1] - k[106]*y[3]*y[9]) +(k[133]*y[10]*y[22] - k[134]*y[3]*y[9]) -(k[303]*y[29]*y[3] - k[304]*y[14]*y[10]) -(k[319]*y[37]*y[3] - k[320]*y[11]*y[0]) -(k[321]*y[37]*y[3] - k[322]*y[28]*y[2]) +(k[327]*y[27]*y[8] - k[328]*y[0]*y[3]) +(k[339]*y[8]*y[10] - k[340]*y[3]*y[2]) -(k[343]*y[8]*y[3] - k[344]*y[30]*y[0]) -(k[345]*y[3]*y[23] - k[346]*y[30]*y[10]) -(k[347]*y[3]*y[1] - k[348]*y[30]*y[10]) +(k[349]*y[27]*y[23] - k[350]*y[3]*y[10]) +(k[409]*y[24]*y[10] - k[410]*y[20]*y[3]) -(k[411]*y[24]*y[3] - k[412]*y[30]*y[15]) +(k[425]*y[25]*y[10] - k[426]*y[13]*y[3]) +(k[427]*y[25]*y[9] - k[428]*y[20]*y[3]) +(k[429]*y[25]*y[13] - k[430]*y[15]*y[3]) +(k[431]*y[25]*y[7] - k[432]*y[5]*y[3]) +(k[433]*y[14]*y[25] - k[434]*y[11]*y[3]) +(k[483]*y[10]*y[23]*M - k[484]*y[3]*M) -(k[651]*y[3] - k[652]*y[23]*y[10]) )
    df_list.append(  -(k[3]*y[0]*y[4] - k[4]*y[5]*y[2]) -(k[25]*y[5]*y[4] - k[26]*y[7]*y[17]) -(k[65]*y[7]*y[4] - k[66]*y[2]*y[17]) +(k[69]*y[7]*y[6] - k[70]*y[2]*y[4]) -(k[115]*y[13]*y[4] - k[116]*y[5]*y[9]) -(k[145]*y[10]*y[4] - k[146]*y[7]*y[9]) -(k[167]*y[16]*y[4] - k[168]*y[2]*y[9]*y[9]) -(k[169]*y[16]*y[4] - k[170]*y[2]*y[20]) +(k[183]*y[21]*y[1] - k[184]*y[30]*y[4]) +(k[189]*y[21]*y[6] - k[190]*y[11]*y[4]) -(k[199]*y[11]*y[4] - k[200]*y[31]*y[9]) -(k[231]*y[22]*y[4] - k[232]*y[21]*y[9]) -(k[241]*y[23]*y[4] - k[242]*y[14]*y[9]*y[9]) -(k[253]*y[1]*y[4] - k[254]*y[11]*y[9]) -(k[259]*y[18]*y[4] - k[260]*y[17]*y[17]) -(k[269]*y[17]*y[4] - k[270]*y[33]*y[9]) -(k[279]*y[19]*y[4] - k[280]*y[34]*y[9]*y[9]) -(k[287]*y[4]*y[4] - k[288]*y[34]*y[20]) -(k[287]*y[4]*y[4] - k[288]*y[34]*y[20]) -(k[289]*y[4]*y[6] - k[290]*y[34]*y[9]) -(k[291]*y[4]*y[20] - k[292]*y[17]*y[9]) -(k[293]*y[4]*y[9] - k[294]*y[6]*y[20]) -(k[295]*y[4]*y[9] - k[296]*y[19]*y[9]) -(k[499]*y[16]*y[4]*M - k[500]*y[5]*M) -(k[517]*y[14]*y[4]*M - k[518]*y[31]*M) -(k[529]*y[1]*y[4]*M - k[530]*y[21]*M) -(k[535]*y[18]*y[4]*M - k[536]*y[40]*M) -(k[545]*y[4]*y[4]*M - k[546]*y[33]*M) -(k[545]*y[4]*y[4]*M - k[546]*y[33]*M) -(k[547]*y[4]*y[20]*M - k[548]*y[18]*M) -(k[549]*y[4]*y[9]*M - k[550]*y[17]*M) +(k[557]*y[6]*y[9]*M - k[558]*y[4]*M) -(k[563]*y[4]*M - k[564]*y[19]*M) +(k[581]*y[18] - k[582]*y[4]*y[20]) +(k[583]*y[18] - k[584]*y[4]*y[9]*y[9]) +(k[589]*y[17] - k[590]*y[4]*y[9]) +(k[613]*y[40] - k[614]*y[18]*y[4]) )
    df_list.append(  +(k[3]*y[0]*y[4] - k[4]*y[5]*y[2]) -(k[11]*y[5]*y[14] - k[12]*y[11]*y[7]) -(k[13]*y[5]*y[13] - k[14]*y[15]*y[2]*y[9]) -(k[15]*y[5]*y[13] - k[16]*y[15]*y[7]) -(k[17]*y[5]*y[10] - k[18]*y[7]*y[13]) -(k[19]*y[5]*y[16] - k[20]*y[7]*y[13]) -(k[21]*y[5]*y[17] - k[22]*y[7]*y[18]) -(k[23]*y[5]*y[19] - k[24]*y[7]*y[17]) -(k[25]*y[5]*y[4] - k[26]*y[7]*y[17]) -(k[27]*y[5]*y[6] - k[28]*y[2]*y[17]) -(k[29]*y[5]*y[6] - k[30]*y[7]*y[19]) -(k[31]*y[5]*y[9] - k[32]*y[7]*y[20]) +(k[33]*y[7]*y[21] - k[34]*y[5]*y[11]) +(k[35]*y[7]*y[7] - k[36]*y[5]*y[2]) +(k[49]*y[7]*y[22] - k[50]*y[5]*y[23]) +(k[85]*y[15]*y[6] - k[86]*y[5]*y[9]) +(k[111]*y[13]*y[19] - k[112]*y[5]*y[9]) +(k[115]*y[13]*y[4] - k[116]*y[5]*y[9]) +(k[139]*y[10]*y[17] - k[140]*y[5]*y[9]) +(k[163]*y[16]*y[17] - k[164]*y[5]*y[9]) +(k[367]*y[33]*y[10] - k[368]*y[5]*y[19]) +(k[431]*y[25]*y[7] - k[432]*y[5]*y[3]) +(k[449]*y[45]*y[13] - k[450]*y[5]*y[15]*y[9]) +(k[459]*y[7]*y[9]*M - k[460]*y[5]*M) +(k[485]*y[10]*y[19]*M - k[486]*y[5]*M) +(k[499]*y[16]*y[4]*M - k[500]*y[5]*M) -(k[621]*y[5] - k[622]*y[20]*y[2]) -(k[623]*y[5] - k[624]*y[9]*y[7]) +(k[631]*y[45] - k[632]*y[5]*y[20]) )
    df_list.append(  -(k[5]*y[0]*y[6] - k[6]*y[7]*y[2]) -(k[27]*y[5]*y[6] - k[28]*y[2]*y[17]) -(k[29]*y[5]*y[6] - k[30]*y[7]*y[19]) -(k[67]*y[7]*y[6] - k[68]*y[2]*y[19]) -(k[69]*y[7]*y[6] - k[70]*y[2]*y[4]) -(k[85]*y[15]*y[6] - k[86]*y[5]*y[9]) +(k[113]*y[13]*y[19] - k[114]*y[15]*y[6]) -(k[117]*y[13]*y[6] - k[118]*y[7]*y[9]) -(k[119]*y[13]*y[6] - k[120]*y[2]*y[20]) -(k[121]*y[13]*y[6] - k[122]*y[2]*y[9]*y[9]) -(k[147]*y[10]*y[6] - k[148]*y[2]*y[9]) -(k[149]*y[10]*y[6] - k[150]*y[13]*y[29]) -(k[171]*y[16]*y[6] - k[172]*y[2]*y[9]) -(k[185]*y[21]*y[6] - k[186]*y[31]*y[9]) -(k[187]*y[21]*y[6] - k[188]*y[11]*y[19]) -(k[189]*y[21]*y[6] - k[190]*y[11]*y[4]) +(k[197]*y[11]*y[1] - k[198]*y[30]*y[6]) +(k[205]*y[14]*y[22] - k[206]*y[6]*y[30]) -(k[215]*y[14]*y[6] - k[216]*y[11]*y[29]) -(k[233]*y[22]*y[6] - k[234]*y[11]*y[9]) -(k[243]*y[23]*y[6] - k[244]*y[14]*y[9]) -(k[255]*y[1]*y[6] - k[256]*y[14]*y[9]) -(k[261]*y[18]*y[6] - k[262]*y[33]*y[9]) -(k[271]*y[17]*y[6] - k[272]*y[33]) -(k[273]*y[17]*y[6] - k[274]*y[34]*y[9]*y[9]) -(k[281]*y[19]*y[6] - k[282]*y[34]*y[9]) -(k[283]*y[19]*y[6] - k[284]*y[35]*y[9]*y[9]) +(k[285]*y[19]*y[9] - k[286]*y[6]*y[20]) -(k[289]*y[4]*y[6] - k[290]*y[34]*y[9]) +(k[293]*y[4]*y[9] - k[294]*y[6]*y[20]) -(k[297]*y[6]*y[6] - k[298]*y[35]*y[9]) -(k[297]*y[6]*y[6] - k[298]*y[35]*y[9]) -(k[299]*y[6]*y[9] - k[300]*y[29]*y[20]) +(k[323]*y[35]*y[10] - k[324]*y[6]*y[2]) -(k[329]*y[27]*y[6] - k[330]*y[13]*y[2]) -(k[387]*y[40]*y[6] - k[388]*y[33]*y[17]) -(k[389]*y[40]*y[6] - k[390]*y[41]*y[9]) -(k[463]*y[2]*y[6]*M - k[464]*y[37]*M) -(k[487]*y[10]*y[6]*M - k[488]*y[7]*M) -(k[501]*y[16]*y[6]*M - k[502]*y[7]*M) -(k[509]*y[11]*y[6]*M - k[510]*y[31]*M) -(k[551]*y[6]*y[6]*M - k[552]*y[34]*M) -(k[551]*y[6]*y[6]*M - k[552]*y[34]*M) -(k[553]*y[6]*y[20]*M - k[554]*y[17]*M) -(k[555]*y[6]*y[9]*M - k[556]*y[19]*M) -(k[557]*y[6]*y[9]*M - k[558]*y[4]*M) +(k[585]*y[18] - k[586]*y[6]*y[20]*y[9]) +(k[587]*y[17] - k[588]*y[6]*y[20]) +(k[657]*y[19] - k[658]*y[6]*y[9]) -(k[659]*y[6] - k[660]*y[29]*y[9]) )
    df_list.append(  +(k[5]*y[0]*y[6] - k[6]*y[7]*y[2]) +(k[11]*y[5]*y[14] - k[12]*y[11]*y[7]) +(k[15]*y[5]*y[13] - k[16]*y[15]*y[7]) +(k[17]*y[5]*y[10] - k[18]*y[7]*y[13]) +(k[19]*y[5]*y[16] - k[20]*y[7]*y[13]) +(k[21]*y[5]*y[17] - k[22]*y[7]*y[18]) +(k[23]*y[5]*y[19] - k[24]*y[7]*y[17]) +(k[25]*y[5]*y[4] - k[26]*y[7]*y[17]) +(k[29]*y[5]*y[6] - k[30]*y[7]*y[19]) +(k[31]*y[5]*y[9] - k[32]*y[7]*y[20]) -(k[33]*y[7]*y[21] - k[34]*y[5]*y[11]) -(k[35]*y[7]*y[7] - k[36]*y[5]*y[2]) -(k[35]*y[7]*y[7] - k[36]*y[5]*y[2]) -(k[37]*y[7]*y[7] - k[38]*y[2]*y[2]*y[20]) -(k[37]*y[7]*y[7] - k[38]*y[2]*y[2]*y[20]) -(k[39]*y[7]*y[14] - k[40]*y[2]*y[11]) -(k[41]*y[7]*y[13] - k[42]*y[2]*y[15]) -(k[43]*y[7]*y[10] - k[44]*y[0]*y[9]) -(k[45]*y[7]*y[10] - k[46]*y[2]*y[13]) -(k[47]*y[7]*y[16] - k[48]*y[0]*y[9]) -(k[49]*y[7]*y[22] - k[50]*y[5]*y[23]) -(k[51]*y[7]*y[22] - k[52]*y[2]*y[24]) -(k[53]*y[7]*y[23] - k[54]*y[8]*y[9]) -(k[55]*y[7]*y[23] - k[56]*y[2]*y[22]) -(k[57]*y[7]*y[1] - k[58]*y[8]*y[9]) -(k[59]*y[7]*y[1] - k[60]*y[2]*y[22]) -(k[61]*y[7]*y[17] - k[62]*y[2]*y[18]) -(k[63]*y[7]*y[19] - k[64]*y[2]*y[17]) -(k[65]*y[7]*y[4] - k[66]*y[2]*y[17]) -(k[67]*y[7]*y[6] - k[68]*y[2]*y[19]) -(k[69]*y[7]*y[6] - k[70]*y[2]*y[4]) -(k[71]*y[7]*y[9] - k[72]*y[2]*y[20]) -(k[73]*y[7]*y[9] - k[74]*y[2]*y[9]*y[9]) -(k[75]*y[7] - k[76]*y[2]*y[9]) +(k[117]*y[13]*y[6] - k[118]*y[7]*y[9]) +(k[145]*y[10]*y[4] - k[146]*y[7]*y[9]) +(k[165]*y[16]*y[19] - k[166]*y[7]*y[9]) -(k[331]*y[27]*y[7] - k[332]*y[2]*y[36]) +(k[335]*y[27]*y[35] - k[336]*y[2]*y[7]) +(k[365]*y[33]*y[10] - k[366]*y[7]*y[17]) -(k[431]*y[25]*y[7] - k[432]*y[5]*y[3]) +(k[441]*y[44]*y[23] - k[442]*y[11]*y[20]*y[7]) +(k[445]*y[44]*y[9] - k[446]*y[18]*y[7]) -(k[455]*y[7]*y[1]*M - k[456]*y[28]*M) -(k[457]*y[7]*y[17]*M - k[458]*y[44]*M) -(k[459]*y[7]*y[9]*M - k[460]*y[5]*M) +(k[465]*y[2]*y[9]*M - k[466]*y[7]*M) +(k[487]*y[10]*y[6]*M - k[488]*y[7]*M) +(k[501]*y[16]*y[6]*M - k[502]*y[7]*M) -(k[619]*y[7] - k[620]*y[9]*y[2]) +(k[623]*y[5] - k[624]*y[9]*y[7]) +(k[637]*y[44] - k[638]*y[17]*y[7]) )
    df_list.append(  -(k[7]*y[8]*y[9] - k[8]*y[10]*y[11]) +(k[53]*y[7]*y[23] - k[54]*y[8]*y[9]) +(k[57]*y[7]*y[1] - k[58]*y[8]*y[9]) +(k[89]*y[13]*y[14] - k[90]*y[8]*y[9]) -(k[327]*y[27]*y[8] - k[328]*y[0]*y[3]) +(k[337]*y[27]*y[14] - k[338]*y[8]*y[10]) -(k[339]*y[8]*y[10] - k[340]*y[3]*y[2]) -(k[341]*y[8]*y[9] - k[342]*y[22]*y[2]) -(k[343]*y[8]*y[3] - k[344]*y[30]*y[0]) +(k[479]*y[10]*y[14]*M - k[480]*y[8]*M) +(k[493]*y[16]*y[14]*M - k[494]*y[8]*M) +(k[655]*y[50] - k[656]*y[9]*y[8]) )
    df_list.append(  -(k[7]*y[8]*y[9] - k[8]*y[10]*y[11]) +(k[13]*y[5]*y[13] - k[14]*y[15]*y[2]*y[9]) -(k[31]*y[5]*y[9] - k[32]*y[7]*y[20]) +(k[43]*y[7]*y[10] - k[44]*y[0]*y[9]) +(k[47]*y[7]*y[16] - k[48]*y[0]*y[9]) +(k[53]*y[7]*y[23] - k[54]*y[8]*y[9]) +(k[57]*y[7]*y[1] - k[58]*y[8]*y[9]) -(k[71]*y[7]*y[9] - k[72]*y[2]*y[20]) -(k[73]*y[7]*y[9] - k[74]*y[2]*y[9]*y[9]) +(k[73]*y[7]*y[9] - k[74]*y[2]*y[9]*y[9]) +(k[73]*y[7]*y[9] - k[74]*y[2]*y[9]*y[9]) +(k[75]*y[7] - k[76]*y[2]*y[9]) +(k[77]*y[2]*y[13] - k[78]*y[0]*y[9]) +(k[83]*y[15]*y[1] - k[84]*y[25]*y[9]) +(k[85]*y[15]*y[6] - k[86]*y[5]*y[9]) +(k[87]*y[13]*y[11] - k[88]*y[26]*y[9]) +(k[89]*y[13]*y[14] - k[90]*y[8]*y[9]) +(k[95]*y[13]*y[10] - k[96]*y[27]*y[9]) +(k[97]*y[13]*y[16] - k[98]*y[27]*y[9]) +(k[99]*y[13]*y[22] - k[100]*y[25]*y[9]) +(k[103]*y[13]*y[23] - k[104]*y[3]*y[9]) +(k[105]*y[13]*y[1] - k[106]*y[3]*y[9]) +(k[111]*y[13]*y[19] - k[112]*y[5]*y[9]) +(k[115]*y[13]*y[4] - k[116]*y[5]*y[9]) +(k[117]*y[13]*y[6] - k[118]*y[7]*y[9]) +(k[121]*y[13]*y[6] - k[122]*y[2]*y[9]*y[9]) +(k[121]*y[13]*y[6] - k[122]*y[2]*y[9]*y[9]) +(k[123]*y[13]*y[20] - k[124]*y[15]*y[9]) +(k[125]*y[10]*y[21] - k[126]*y[28]*y[9]) +(k[133]*y[10]*y[22] - k[134]*y[3]*y[9]) +(k[139]*y[10]*y[17] - k[140]*y[5]*y[9]) +(k[141]*y[10]*y[19] - k[142]*y[2]*y[9]*y[9]) +(k[141]*y[10]*y[19] - k[142]*y[2]*y[9]*y[9]) +(k[145]*y[10]*y[4] - k[146]*y[7]*y[9]) +(k[147]*y[10]*y[6] - k[148]*y[2]*y[9]) +(k[151]*y[10]*y[20] - k[152]*y[13]*y[9]) +(k[155]*y[16]*y[21] - k[156]*y[28]*y[9]) +(k[163]*y[16]*y[17] - k[164]*y[5]*y[9]) +(k[165]*y[16]*y[19] - k[166]*y[7]*y[9]) +(k[167]*y[16]*y[4] - k[168]*y[2]*y[9]*y[9]) +(k[167]*y[16]*y[4] - k[168]*y[2]*y[9]*y[9]) +(k[171]*y[16]*y[6] - k[172]*y[2]*y[9]) +(k[173]*y[16]*y[20] - k[174]*y[13]*y[9]) +(k[185]*y[21]*y[6] - k[186]*y[31]*y[9]) -(k[191]*y[21]*y[9] - k[192]*y[11]*y[20]) +(k[193]*y[21] - k[194]*y[11]*y[9]) +(k[195]*y[11]*y[14] - k[196]*y[32]*y[9]) +(k[199]*y[11]*y[4] - k[200]*y[31]*y[9]) -(k[201]*y[11]*y[9] - k[202]*y[11]*y[9]) +(k[201]*y[11]*y[9] - k[202]*y[11]*y[9]) +(k[217]*y[14]*y[20] - k[218]*y[11]*y[9]) +(k[219]*y[22]*y[22] - k[220]*y[30]*y[9]*y[9]) +(k[219]*y[22]*y[22] - k[220]*y[30]*y[9]*y[9]) +(k[223]*y[22]*y[23] - k[224]*y[30]*y[9]) +(k[225]*y[22]*y[1] - k[226]*y[30]*y[9]) +(k[229]*y[22]*y[19] - k[230]*y[21]*y[9]) +(k[231]*y[22]*y[4] - k[232]*y[21]*y[9]) +(k[233]*y[22]*y[6] - k[234]*y[11]*y[9]) -(k[235]*y[22]*y[9] - k[236]*y[20]*y[23]) +(k[237]*y[23]*y[17] - k[238]*y[21]*y[9]) +(k[239]*y[23]*y[19] - k[240]*y[11]*y[9]) +(k[241]*y[23]*y[4] - k[242]*y[14]*y[9]*y[9]) +(k[241]*y[23]*y[4] - k[242]*y[14]*y[9]*y[9]) +(k[243]*y[23]*y[6] - k[244]*y[14]*y[9]) +(k[247]*y[1]*y[17] - k[248]*y[21]*y[9]) +(k[249]*y[1]*y[19] - k[250]*y[11]*y[9]) +(k[251]*y[1]*y[19] - k[252]*y[14]*y[9]*y[9]) +(k[251]*y[1]*y[19] - k[252]*y[14]*y[9]*y[9]) +(k[253]*y[1]*y[4] - k[254]*y[11]*y[9]) +(k[255]*y[1]*y[6] - k[256]*y[14]*y[9]) +(k[257]*y[1]*y[20] - k[258]*y[22]*y[9]) +(k[261]*y[18]*y[6] - k[262]*y[33]*y[9]) -(k[263]*y[18]*y[9] - k[264]*y[17]*y[20]) +(k[267]*y[17]*y[19] - k[268]*y[33]*y[9]) +(k[269]*y[17]*y[4] - k[270]*y[33]*y[9]) +(k[273]*y[17]*y[6] - k[274]*y[34]*y[9]*y[9]) +(k[273]*y[17]*y[6] - k[274]*y[34]*y[9]*y[9]) -(k[275]*y[17]*y[9] - k[276]*y[19]*y[20]) +(k[279]*y[19]*y[4] - k[280]*y[34]*y[9]*y[9]) +(k[279]*y[19]*y[4] - k[280]*y[34]*y[9]*y[9]) +(k[281]*y[19]*y[6] - k[282]*y[34]*y[9]) +(k[283]*y[19]*y[6] - k[284]*y[35]*y[9]*y[9]) +(k[283]*y[19]*y[6] - k[284]*y[35]*y[9]*y[9]) -(k[285]*y[19]*y[9] - k[286]*y[6]*y[20]) +(k[289]*y[4]*y[6] - k[290]*y[34]*y[9]) +(k[291]*y[4]*y[20] - k[292]*y[17]*y[9]) -(k[293]*y[4]*y[9] - k[294]*y[6]*y[20]) -(k[295]*y[4]*y[9] - k[296]*y[19]*y[9]) +(k[295]*y[4]*y[9] - k[296]*y[19]*y[9]) +(k[297]*y[6]*y[6] - k[298]*y[35]*y[9]) -(k[299]*y[6]*y[9] - k[300]*y[29]*y[20]) -(k[307]*y[36]*y[9] - k[308]*y[15]*y[10]) -(k[309]*y[36]*y[9] - k[310]*y[13]*y[13]) -(k[311]*y[36]*y[9] - k[312]*y[27]*y[20]) -(k[315]*y[37]*y[9] - k[316]*y[2]*y[19]) +(k[317]*y[37]*y[10] - k[318]*y[2]*y[2]*y[9]) -(k[341]*y[8]*y[9] - k[342]*y[22]*y[2]) +(k[351]*y[35]*y[20] - k[352]*y[34]*y[9]) +(k[361]*y[34]*y[14] - k[362]*y[38]*y[9]) +(k[371]*y[33]*y[13] - k[372]*y[34]*y[15]*y[9]) +(k[373]*y[33]*y[17] - k[374]*y[34]*y[18]*y[9]) +(k[375]*y[33]*y[14] - k[376]*y[39]*y[9]) +(k[377]*y[33]*y[14] - k[378]*y[11]*y[34]*y[9]) +(k[379]*y[40]*y[19] - k[380]*y[33]*y[17]*y[9]) +(k[381]*y[40]*y[10] - k[382]*y[33]*y[13]*y[9]) -(k[383]*y[40]*y[9] - k[384]*y[33]*y[20]*y[9]) +(k[383]*y[40]*y[9] - k[384]*y[33]*y[20]*y[9]) +(k[385]*y[40]*y[13] - k[386]*y[33]*y[15]*y[9]) +(k[389]*y[40]*y[6] - k[390]*y[41]*y[9]) +(k[391]*y[40]*y[17] - k[392]*y[18]*y[33]*y[9]) +(k[393]*y[40]*y[35] - k[394]*y[34]*y[33]*y[9]) +(k[395]*y[40]*y[14] - k[396]*y[11]*y[33]*y[9]) +(k[397]*y[40]*y[16] - k[398]*y[33]*y[13]*y[9]) +(k[403]*y[11]*y[35] - k[404]*y[38]*y[9]) +(k[405]*y[24]*y[10] - k[406]*y[9]*y[25]) +(k[419]*y[24]*y[20] - k[420]*y[43]*y[9]) +(k[421]*y[24]*y[40] - k[422]*y[43]*y[33]*y[9]) -(k[427]*y[25]*y[9] - k[428]*y[20]*y[3]) -(k[443]*y[44]*y[9] - k[444]*y[2]*y[20]*y[17]) -(k[445]*y[44]*y[9] - k[446]*y[18]*y[7]) +(k[449]*y[45]*y[13] - k[450]*y[5]*y[15]*y[9]) +(k[451]*y[33]*y[1] - k[452]*y[46]*y[9]) +(k[453]*y[41]*y[14] - k[454]*y[46]*y[34]*y[9]) -(k[459]*y[7]*y[9]*M - k[460]*y[5]*M) -(k[465]*y[2]*y[9]*M - k[466]*y[7]*M) -(k[477]*y[13]*y[9]*M - k[478]*y[15]*M) -(k[489]*y[10]*y[9]*M - k[490]*y[13]*M) -(k[505]*y[16]*y[9]*M - k[506]*y[13]*M) -(k[519]*y[14]*y[9]*M - k[520]*y[11]*M) -(k[525]*y[23]*y[9]*M - k[526]*y[22]*M) -(k[533]*y[1]*y[9]*M - k[534]*y[22]*M) -(k[539]*y[17]*y[9]*M - k[540]*y[18]*M) -(k[543]*y[19]*y[9]*M - k[544]*y[17]*M) -(k[549]*y[4]*y[9]*M - k[550]*y[17]*M) -(k[555]*y[6]*y[9]*M - k[556]*y[19]*M) -(k[557]*y[6]*y[9]*M - k[558]*y[4]*M) -(k[559]*y[9]*y[9]*M - k[560]*y[20]*M) -(k[559]*y[9]*y[9]*M - k[560]*y[20]*M) -(k[565]*y[35]*y[9]*M - k[566]*y[34]*M) -(k[569]*y[27]*y[9]*M - k[570]*y[36]*M) +(k[573]*y[15] - k[574]*y[9]*y[13]) +(k[577]*y[15] - k[578]*y[9]*y[9]*y[10]) +(k[577]*y[15] - k[578]*y[9]*y[9]*y[10]) +(k[579]*y[18] - k[580]*y[17]*y[9]) +(k[583]*y[18] - k[584]*y[4]*y[9]*y[9]) +(k[583]*y[18] - k[584]*y[4]*y[9]*y[9]) +(k[585]*y[18] - k[586]*y[6]*y[20]*y[9]) +(k[589]*y[17] - k[590]*y[4]*y[9]) +(k[593]*y[20] - k[594]*y[9]*y[9]) +(k[593]*y[20] - k[594]*y[9]*y[9]) +(k[595]*y[34] - k[596]*y[35]*y[9]) +(k[603]*y[33] - k[604]*y[34]*y[9]*y[9]) +(k[603]*y[33] - k[604]*y[34]*y[9]*y[9]) +(k[605]*y[33] - k[606]*y[48]*y[9]) +(k[609]*y[40] - k[610]*y[33]*y[9]*y[9]) +(k[609]*y[40] - k[610]*y[33]*y[9]*y[9]) +(k[617]*y[13] - k[618]*y[9]*y[10]) +(k[619]*y[7] - k[620]*y[9]*y[2]) +(k[623]*y[5] - k[624]*y[9]*y[7]) +(k[633]*y[45] - k[634]*y[49]*y[9]) +(k[645]*y[43] - k[646]*y[24]*y[9]) +(k[647]*y[43] - k[648]*y[22]*y[9]*y[9]) +(k[647]*y[43] - k[648]*y[22]*y[9]*y[9]) +(k[649]*y[11] - k[650]*y[9]*y[14]) +(k[655]*y[50] - k[656]*y[9]*y[8]) +(k[657]*y[19] - k[658]*y[6]*y[9]) +(k[659]*y[6] - k[660]*y[29]*y[9]) )
    df_list.append(  +(k[7]*y[8]*y[9] - k[8]*y[10]*y[11]) -(k[17]*y[5]*y[10] - k[18]*y[7]*y[13]) -(k[43]*y[7]*y[10] - k[44]*y[0]*y[9]) -(k[45]*y[7]*y[10] - k[46]*y[2]*y[13]) +(k[91]*y[13]*y[14] - k[92]*y[11]*y[10]) +(k[93]*y[13]*y[13] - k[94]*y[15]*y[10]) -(k[95]*y[13]*y[10] - k[96]*y[27]*y[9]) -(k[125]*y[10]*y[21] - k[126]*y[28]*y[9]) -(k[127]*y[10]*y[21] - k[128]*y[13]*y[11]) -(k[129]*y[10]*y[14] - k[130]*y[2]*y[23]) -(k[131]*y[10]*y[14] - k[132]*y[2]*y[1]) -(k[133]*y[10]*y[22] - k[134]*y[3]*y[9]) -(k[135]*y[10]*y[22] - k[136]*y[13]*y[23]) -(k[137]*y[10]*y[18] - k[138]*y[13]*y[17]) -(k[139]*y[10]*y[17] - k[140]*y[5]*y[9]) -(k[141]*y[10]*y[19] - k[142]*y[2]*y[9]*y[9]) -(k[143]*y[10]*y[19] - k[144]*y[2]*y[20]) -(k[145]*y[10]*y[4] - k[146]*y[7]*y[9]) -(k[147]*y[10]*y[6] - k[148]*y[2]*y[9]) -(k[149]*y[10]*y[6] - k[150]*y[13]*y[29]) -(k[151]*y[10]*y[20] - k[152]*y[13]*y[9]) +(k[153]*y[16]*y[21] - k[154]*y[10]*y[21]) +(k[301]*y[29]*y[27] - k[302]*y[2]*y[10]) +(k[303]*y[29]*y[3] - k[304]*y[14]*y[10]) -(k[305]*y[36]*y[10] - k[306]*y[27]*y[13]) +(k[307]*y[36]*y[9] - k[308]*y[15]*y[10]) -(k[317]*y[37]*y[10] - k[318]*y[2]*y[2]*y[9]) -(k[323]*y[35]*y[10] - k[324]*y[6]*y[2]) +(k[333]*y[27]*y[35] - k[334]*y[10]*y[37]) +(k[337]*y[27]*y[14] - k[338]*y[8]*y[10]) -(k[339]*y[8]*y[10] - k[340]*y[3]*y[2]) +(k[345]*y[3]*y[23] - k[346]*y[30]*y[10]) +(k[347]*y[3]*y[1] - k[348]*y[30]*y[10]) +(k[349]*y[27]*y[23] - k[350]*y[3]*y[10]) +(k[353]*y[35]*y[13] - k[354]*y[34]*y[10]) -(k[359]*y[34]*y[10] - k[360]*y[2]*y[19]) -(k[365]*y[33]*y[10] - k[366]*y[7]*y[17]) -(k[367]*y[33]*y[10] - k[368]*y[5]*y[19]) -(k[381]*y[40]*y[10] - k[382]*y[33]*y[13]*y[9]) +(k[399]*y[40]*y[16] - k[400]*y[40]*y[10]) -(k[405]*y[24]*y[10] - k[406]*y[9]*y[25]) -(k[407]*y[24]*y[10] - k[408]*y[13]*y[22]) -(k[409]*y[24]*y[10] - k[410]*y[20]*y[3]) -(k[425]*y[25]*y[10] - k[426]*y[13]*y[3]) -(k[435]*y[43]*y[10] - k[436]*y[24]*y[13]) -(k[471]*y[13]*y[10]*M - k[472]*y[36]*M) -(k[479]*y[10]*y[14]*M - k[480]*y[8]*M) -(k[481]*y[10]*y[10]*M - k[482]*y[27]*M) -(k[481]*y[10]*y[10]*M - k[482]*y[27]*M) -(k[483]*y[10]*y[23]*M - k[484]*y[3]*M) -(k[485]*y[10]*y[19]*M - k[486]*y[5]*M) -(k[487]*y[10]*y[6]*M - k[488]*y[7]*M) -(k[489]*y[10]*y[9]*M - k[490]*y[13]*M) +(k[507]*y[16]*M - k[508]*y[10]*M) +(k[577]*y[15] - k[578]*y[9]*y[9]*y[10]) +(k[591]*y[2] - k[592]*y[29]*y[10]) +(k[597]*y[0] - k[598]*y[2]*y[10]) +(k[617]*y[13] - k[618]*y[9]*y[10]) +(k[625]*y[27] - k[626]*y[10]*y[10]) +(k[625]*y[27] - k[626]*y[10]*y[10]) +(k[627]*y[27] - k[628]*y[10]*y[16]) +(k[639]*y[36] - k[640]*y[10]*y[13]) +(k[651]*y[3] - k[652]*y[23]*y[10]) )
    df_list.append(  +(k[7]*y[8]*y[9] - k[8]*y[10]*y[11]) +(k[11]*y[5]*y[14] - k[12]*y[11]*y[7]) +(k[33]*y[7]*y[21] - k[34]*y[5]*y[11]) +(k[39]*y[7]*y[14] - k[40]*y[2]*y[11]) +(k[81]*y[15]*y[14] - k[82]*y[13]*y[11]) -(k[87]*y[13]*y[11] - k[88]*y[26]*y[9]) +(k[91]*y[13]*y[14] - k[92]*y[11]*y[10]) +(k[127]*y[10]*y[21] - k[128]*y[13]*y[11]) +(k[157]*y[16]*y[21] - k[158]*y[13]*y[11]) +(k[175]*y[21]*y[22] - k[176]*y[11]*y[24]) +(k[179]*y[21]*y[23] - k[180]*y[11]*y[22]) +(k[187]*y[21]*y[6] - k[188]*y[11]*y[19]) +(k[189]*y[21]*y[6] - k[190]*y[11]*y[4]) +(k[191]*y[21]*y[9] - k[192]*y[11]*y[20]) +(k[193]*y[21] - k[194]*y[11]*y[9]) -(k[195]*y[11]*y[14] - k[196]*y[32]*y[9]) -(k[197]*y[11]*y[1] - k[198]*y[30]*y[6]) -(k[199]*y[11]*y[4] - k[200]*y[31]*y[9]) -(k[201]*y[11]*y[9] - k[202]*y[11]*y[9]) +(k[201]*y[11]*y[9] - k[202]*y[11]*y[9]) +(k[203]*y[14]*y[22] - k[204]*y[11]*y[23]) +(k[211]*y[14]*y[18] - k[212]*y[11]*y[17]) +(k[213]*y[14]*y[17] - k[214]*y[11]*y[19]) +(k[215]*y[14]*y[6] - k[216]*y[11]*y[29]) +(k[217]*y[14]*y[20] - k[218]*y[11]*y[9]) +(k[233]*y[22]*y[6] - k[234]*y[11]*y[9]) +(k[239]*y[23]*y[19] - k[240]*y[11]*y[9]) +(k[249]*y[1]*y[19] - k[250]*y[11]*y[9]) +(k[253]*y[1]*y[4] - k[254]*y[11]*y[9]) +(k[319]*y[37]*y[3] - k[320]*y[11]*y[0]) +(k[363]*y[34]*y[14] - k[364]*y[11]*y[35]) +(k[369]*y[33]*y[23] - k[370]*y[11]*y[17]) +(k[377]*y[33]*y[14] - k[378]*y[11]*y[34]*y[9]) +(k[395]*y[40]*y[14] - k[396]*y[11]*y[33]*y[9]) -(k[403]*y[11]*y[35] - k[404]*y[38]*y[9]) +(k[433]*y[14]*y[25] - k[434]*y[11]*y[3]) +(k[439]*y[43]*y[14] - k[440]*y[11]*y[24]) +(k[441]*y[44]*y[23] - k[442]*y[11]*y[20]*y[7]) -(k[491]*y[16]*y[11]*M - k[492]*y[28]*M) -(k[509]*y[11]*y[6]*M - k[510]*y[31]*M) +(k[519]*y[14]*y[9]*M - k[520]*y[11]*M) -(k[649]*y[11] - k[650]*y[9]*y[14]) -(k[663]*y[11] - k[664]*y[52]) )
    df_list.append(  -(k[9]*y[12] - k[10]*y[13]*y[13]) +(k[469]*y[13]*y[13]*M - k[470]*y[12]*M) -(k[641]*y[12] - k[642]*y[13]*y[13]) )
    df_list.append(  +(k[9]*y[12] - k[10]*y[13]*y[13]) +(k[9]*y[12] - k[10]*y[13]*y[13]) -(k[13]*y[5]*y[13] - k[14]*y[15]*y[2]*y[9]) -(k[15]*y[5]*y[13] - k[16]*y[15]*y[7]) +(k[17]*y[5]*y[10] - k[18]*y[7]*y[13]) +(k[19]*y[5]*y[16] - k[20]*y[7]*y[13]) -(k[41]*y[7]*y[13] - k[42]*y[2]*y[15]) +(k[45]*y[7]*y[10] - k[46]*y[2]*y[13]) -(k[77]*y[2]*y[13] - k[78]*y[0]*y[9]) +(k[79]*y[15]*y[16] - k[80]*y[13]*y[13]) +(k[79]*y[15]*y[16] - k[80]*y[13]*y[13]) +(k[81]*y[15]*y[14] - k[82]*y[13]*y[11]) -(k[87]*y[13]*y[11] - k[88]*y[26]*y[9]) -(k[89]*y[13]*y[14] - k[90]*y[8]*y[9]) -(k[91]*y[13]*y[14] - k[92]*y[11]*y[10]) -(k[93]*y[13]*y[13] - k[94]*y[15]*y[10]) -(k[93]*y[13]*y[13] - k[94]*y[15]*y[10]) -(k[95]*y[13]*y[10] - k[96]*y[27]*y[9]) -(k[97]*y[13]*y[16] - k[98]*y[27]*y[9]) -(k[99]*y[13]*y[22] - k[100]*y[25]*y[9]) -(k[101]*y[13]*y[22] - k[102]*y[15]*y[23]) -(k[103]*y[13]*y[23] - k[104]*y[3]*y[9]) -(k[105]*y[13]*y[1] - k[106]*y[3]*y[9]) -(k[107]*y[13]*y[18] - k[108]*y[15]*y[17]) -(k[109]*y[13]*y[17] - k[110]*y[15]*y[19]) -(k[111]*y[13]*y[19] - k[112]*y[5]*y[9]) -(k[113]*y[13]*y[19] - k[114]*y[15]*y[6]) -(k[115]*y[13]*y[4] - k[116]*y[5]*y[9]) -(k[117]*y[13]*y[6] - k[118]*y[7]*y[9]) -(k[119]*y[13]*y[6] - k[120]*y[2]*y[20]) -(k[121]*y[13]*y[6] - k[122]*y[2]*y[9]*y[9]) -(k[123]*y[13]*y[20] - k[124]*y[15]*y[9]) +(k[127]*y[10]*y[21] - k[128]*y[13]*y[11]) +(k[135]*y[10]*y[22] - k[136]*y[13]*y[23]) +(k[137]*y[10]*y[18] - k[138]*y[13]*y[17]) +(k[149]*y[10]*y[6] - k[150]*y[13]*y[29]) +(k[151]*y[10]*y[20] - k[152]*y[13]*y[9]) +(k[157]*y[16]*y[21] - k[158]*y[13]*y[11]) +(k[161]*y[16]*y[18] - k[162]*y[13]*y[17]) +(k[173]*y[16]*y[20] - k[174]*y[13]*y[9]) +(k[305]*y[36]*y[10] - k[306]*y[27]*y[13]) +(k[309]*y[36]*y[9] - k[310]*y[13]*y[13]) +(k[309]*y[36]*y[9] - k[310]*y[13]*y[13]) -(k[313]*y[36]*y[13] - k[314]*y[15]*y[27]) +(k[329]*y[27]*y[6] - k[330]*y[13]*y[2]) -(k[353]*y[35]*y[13] - k[354]*y[34]*y[10]) -(k[355]*y[35]*y[13] - k[356]*y[2]*y[19]) +(k[357]*y[35]*y[36] - k[358]*y[13]*y[37]) -(k[371]*y[33]*y[13] - k[372]*y[34]*y[15]*y[9]) +(k[381]*y[40]*y[10] - k[382]*y[33]*y[13]*y[9]) -(k[385]*y[40]*y[13] - k[386]*y[33]*y[15]*y[9]) +(k[397]*y[40]*y[16] - k[398]*y[33]*y[13]*y[9]) +(k[407]*y[24]*y[10] - k[408]*y[13]*y[22]) -(k[413]*y[24]*y[13] - k[414]*y[15]*y[22]) +(k[425]*y[25]*y[10] - k[426]*y[13]*y[3]) -(k[429]*y[25]*y[13] - k[430]*y[15]*y[3]) +(k[435]*y[43]*y[10] - k[436]*y[24]*y[13]) -(k[437]*y[43]*y[13] - k[438]*y[24]*y[15]) -(k[449]*y[45]*y[13] - k[450]*y[5]*y[15]*y[9]) -(k[467]*y[13]*y[14]*M - k[468]*y[26]*M) -(k[469]*y[13]*y[13]*M - k[470]*y[12]*M) -(k[469]*y[13]*y[13]*M - k[470]*y[12]*M) -(k[471]*y[13]*y[10]*M - k[472]*y[36]*M) -(k[473]*y[13]*y[16]*M - k[474]*y[36]*M) -(k[475]*y[13]*y[17]*M - k[476]*y[45]*M) -(k[477]*y[13]*y[9]*M - k[478]*y[15]*M) +(k[489]*y[10]*y[9]*M - k[490]*y[13]*M) +(k[505]*y[16]*y[9]*M - k[506]*y[13]*M) +(k[573]*y[15] - k[574]*y[9]*y[13]) -(k[617]*y[13] - k[618]*y[9]*y[10]) +(k[629]*y[45] - k[630]*y[17]*y[13]) +(k[639]*y[36] - k[640]*y[10]*y[13]) +(k[641]*y[12] - k[642]*y[13]*y[13]) +(k[641]*y[12] - k[642]*y[13]*y[13]) )
    df_list.append(  -(k[11]*y[5]*y[14] - k[12]*y[11]*y[7]) -(k[39]*y[7]*y[14] - k[40]*y[2]*y[11]) -(k[81]*y[15]*y[14] - k[82]*y[13]*y[11]) -(k[89]*y[13]*y[14] - k[90]*y[8]*y[9]) -(k[91]*y[13]*y[14] - k[92]*y[11]*y[10]) -(k[129]*y[10]*y[14] - k[130]*y[2]*y[23]) -(k[131]*y[10]*y[14] - k[132]*y[2]*y[1]) -(k[159]*y[16]*y[14] - k[160]*y[2]*y[1]) -(k[195]*y[11]*y[14] - k[196]*y[32]*y[9]) -(k[203]*y[14]*y[22] - k[204]*y[11]*y[23]) -(k[205]*y[14]*y[22] - k[206]*y[6]*y[30]) -(k[207]*y[14]*y[23] - k[208]*y[30]*y[29]) -(k[209]*y[14]*y[1] - k[210]*y[30]*y[29]) -(k[211]*y[14]*y[18] - k[212]*y[11]*y[17]) -(k[213]*y[14]*y[17] - k[214]*y[11]*y[19]) -(k[215]*y[14]*y[6] - k[216]*y[11]*y[29]) -(k[217]*y[14]*y[20] - k[218]*y[11]*y[9]) +(k[241]*y[23]*y[4] - k[242]*y[14]*y[9]*y[9]) +(k[243]*y[23]*y[6] - k[244]*y[14]*y[9]) +(k[251]*y[1]*y[19] - k[252]*y[14]*y[9]*y[9]) +(k[255]*y[1]*y[6] - k[256]*y[14]*y[9]) +(k[303]*y[29]*y[3] - k[304]*y[14]*y[10]) -(k[337]*y[27]*y[14] - k[338]*y[8]*y[10]) -(k[361]*y[34]*y[14] - k[362]*y[38]*y[9]) -(k[363]*y[34]*y[14] - k[364]*y[11]*y[35]) -(k[375]*y[33]*y[14] - k[376]*y[39]*y[9]) -(k[377]*y[33]*y[14] - k[378]*y[11]*y[34]*y[9]) -(k[395]*y[40]*y[14] - k[396]*y[11]*y[33]*y[9]) -(k[433]*y[14]*y[25] - k[434]*y[11]*y[3]) -(k[439]*y[43]*y[14] - k[440]*y[11]*y[24]) -(k[453]*y[41]*y[14] - k[454]*y[46]*y[34]*y[9]) -(k[467]*y[13]*y[14]*M - k[468]*y[26]*M) -(k[479]*y[10]*y[14]*M - k[480]*y[8]*M) -(k[493]*y[16]*y[14]*M - k[494]*y[8]*M) -(k[511]*y[14]*y[14]*M - k[512]*y[32]*M) -(k[511]*y[14]*y[14]*M - k[512]*y[32]*M) -(k[513]*y[14]*y[17]*M - k[514]*y[46]*M) -(k[515]*y[14]*y[19]*M - k[516]*y[31]*M) -(k[517]*y[14]*y[4]*M - k[518]*y[31]*M) -(k[519]*y[14]*y[9]*M - k[520]*y[11]*M) +(k[649]*y[11] - k[650]*y[9]*y[14]) )
    df_list.append(  +(k[13]*y[5]*y[13] - k[14]*y[15]*y[2]*y[9]) +(k[15]*y[5]*y[13] - k[16]*y[15]*y[7]) +(k[41]*y[7]*y[13] - k[42]*y[2]*y[15]) -(k[79]*y[15]*y[16] - k[80]*y[13]*y[13]) -(k[81]*y[15]*y[14] - k[82]*y[13]*y[11]) -(k[83]*y[15]*y[1] - k[84]*y[25]*y[9]) -(k[85]*y[15]*y[6] - k[86]*y[5]*y[9]) +(k[93]*y[13]*y[13] - k[94]*y[15]*y[10]) +(k[101]*y[13]*y[22] - k[102]*y[15]*y[23]) +(k[107]*y[13]*y[18] - k[108]*y[15]*y[17]) +(k[109]*y[13]*y[17] - k[110]*y[15]*y[19]) +(k[113]*y[13]*y[19] - k[114]*y[15]*y[6]) +(k[123]*y[13]*y[20] - k[124]*y[15]*y[9]) +(k[307]*y[36]*y[9] - k[308]*y[15]*y[10]) +(k[313]*y[36]*y[13] - k[314]*y[15]*y[27]) +(k[371]*y[33]*y[13] - k[372]*y[34]*y[15]*y[9]) +(k[385]*y[40]*y[13] - k[386]*y[33]*y[15]*y[9]) +(k[411]*y[24]*y[3] - k[412]*y[30]*y[15]) +(k[413]*y[24]*y[13] - k[414]*y[15]*y[22]) +(k[415]*y[24]*y[36] - k[416]*y[15]*y[25]) +(k[429]*y[25]*y[13] - k[430]*y[15]*y[3]) +(k[437]*y[43]*y[13] - k[438]*y[24]*y[15]) +(k[449]*y[45]*y[13] - k[450]*y[5]*y[15]*y[9]) +(k[477]*y[13]*y[9]*M - k[478]*y[15]*M) +(k[503]*y[16]*y[20]*M - k[504]*y[15]*M) -(k[571]*y[15] - k[572]*y[47]) -(k[573]*y[15] - k[574]*y[9]*y[13]) -(k[575]*y[15] - k[576]*y[20]*y[16]) -(k[577]*y[15] - k[578]*y[9]*y[9]*y[10]) )
    df_list.append(  -(k[19]*y[5]*y[16] - k[20]*y[7]*y[13]) -(k[47]*y[7]*y[16] - k[48]*y[0]*y[9]) -(k[79]*y[15]*y[16] - k[80]*y[13]*y[13]) -(k[97]*y[13]*y[16] - k[98]*y[27]*y[9]) -(k[153]*y[16]*y[21] - k[154]*y[10]*y[21]) -(k[155]*y[16]*y[21] - k[156]*y[28]*y[9]) -(k[157]*y[16]*y[21] - k[158]*y[13]*y[11]) -(k[159]*y[16]*y[14] - k[160]*y[2]*y[1]) -(k[161]*y[16]*y[18] - k[162]*y[13]*y[17]) -(k[163]*y[16]*y[17] - k[164]*y[5]*y[9]) -(k[165]*y[16]*y[19] - k[166]*y[7]*y[9]) -(k[167]*y[16]*y[4] - k[168]*y[2]*y[9]*y[9]) -(k[169]*y[16]*y[4] - k[170]*y[2]*y[20]) -(k[171]*y[16]*y[6] - k[172]*y[2]*y[9]) -(k[173]*y[16]*y[20] - k[174]*y[13]*y[9]) -(k[397]*y[40]*y[16] - k[398]*y[33]*y[13]*y[9]) -(k[399]*y[40]*y[16] - k[400]*y[40]*y[10]) -(k[461]*y[2]*y[16]*M - k[462]*y[0]*M) -(k[473]*y[13]*y[16]*M - k[474]*y[36]*M) -(k[491]*y[16]*y[11]*M - k[492]*y[28]*M) -(k[493]*y[16]*y[14]*M - k[494]*y[8]*M) -(k[495]*y[16]*y[16]*M - k[496]*y[27]*M) -(k[495]*y[16]*y[16]*M - k[496]*y[27]*M) -(k[497]*y[16]*y[18]*M - k[498]*y[45]*M) -(k[499]*y[16]*y[4]*M - k[500]*y[5]*M) -(k[501]*y[16]*y[6]*M - k[502]*y[7]*M) -(k[503]*y[16]*y[20]*M - k[504]*y[15]*M) -(k[505]*y[16]*y[9]*M - k[506]*y[13]*M) -(k[507]*y[16]*M - k[508]*y[10]*M) +(k[575]*y[15] - k[576]*y[20]*y[16]) +(k[599]*y[0] - k[600]*y[2]*y[16]) +(k[627]*y[27] - k[628]*y[10]*y[16]) )
    df_list.append(  -(k[21]*y[5]*y[17] - k[22]*y[7]*y[18]) +(k[23]*y[5]*y[19] - k[24]*y[7]*y[17]) +(k[25]*y[5]*y[4] - k[26]*y[7]*y[17]) +(k[27]*y[5]*y[6] - k[28]*y[2]*y[17]) -(k[61]*y[7]*y[17] - k[62]*y[2]*y[18]) +(k[63]*y[7]*y[19] - k[64]*y[2]*y[17]) +(k[65]*y[7]*y[4] - k[66]*y[2]*y[17]) +(k[107]*y[13]*y[18] - k[108]*y[15]*y[17]) -(k[109]*y[13]*y[17] - k[110]*y[15]*y[19]) +(k[137]*y[10]*y[18] - k[138]*y[13]*y[17]) -(k[139]*y[10]*y[17] - k[140]*y[5]*y[9]) +(k[161]*y[16]*y[18] - k[162]*y[13]*y[17]) -(k[163]*y[16]*y[17] - k[164]*y[5]*y[9]) +(k[211]*y[14]*y[18] - k[212]*y[11]*y[17]) -(k[213]*y[14]*y[17] - k[214]*y[11]*y[19]) -(k[227]*y[22]*y[17] - k[228]*y[21]*y[20]) -(k[237]*y[23]*y[17] - k[238]*y[21]*y[9]) -(k[247]*y[1]*y[17] - k[248]*y[21]*y[9]) +(k[259]*y[18]*y[4] - k[260]*y[17]*y[17]) +(k[259]*y[18]*y[4] - k[260]*y[17]*y[17]) +(k[263]*y[18]*y[9] - k[264]*y[17]*y[20]) -(k[265]*y[17]*y[17] - k[266]*y[18]*y[19]) -(k[265]*y[17]*y[17] - k[266]*y[18]*y[19]) -(k[267]*y[17]*y[19] - k[268]*y[33]*y[9]) -(k[269]*y[17]*y[4] - k[270]*y[33]*y[9]) -(k[271]*y[17]*y[6] - k[272]*y[33]) -(k[273]*y[17]*y[6] - k[274]*y[34]*y[9]*y[9]) -(k[275]*y[17]*y[9] - k[276]*y[19]*y[20]) +(k[291]*y[4]*y[20] - k[292]*y[17]*y[9]) +(k[325]*y[35]*y[18] - k[326]*y[34]*y[17]) +(k[365]*y[33]*y[10] - k[366]*y[7]*y[17]) +(k[369]*y[33]*y[23] - k[370]*y[11]*y[17]) -(k[373]*y[33]*y[17] - k[374]*y[34]*y[18]*y[9]) +(k[379]*y[40]*y[19] - k[380]*y[33]*y[17]*y[9]) +(k[387]*y[40]*y[6] - k[388]*y[33]*y[17]) -(k[391]*y[40]*y[17] - k[392]*y[18]*y[33]*y[9]) +(k[423]*y[24]*y[18] - k[424]*y[43]*y[17]) +(k[443]*y[44]*y[9] - k[444]*y[2]*y[20]*y[17]) +(k[447]*y[45]*y[23] - k[448]*y[17]*y[25]) -(k[457]*y[7]*y[17]*M - k[458]*y[44]*M) -(k[475]*y[13]*y[17]*M - k[476]*y[45]*M) -(k[513]*y[14]*y[17]*M - k[514]*y[46]*M) -(k[537]*y[17]*y[17]*M - k[538]*y[40]*M) -(k[537]*y[17]*y[17]*M - k[538]*y[40]*M) -(k[539]*y[17]*y[9]*M - k[540]*y[18]*M) +(k[543]*y[19]*y[9]*M - k[544]*y[17]*M) +(k[549]*y[4]*y[9]*M - k[550]*y[17]*M) +(k[553]*y[6]*y[20]*M - k[554]*y[17]*M) +(k[579]*y[18] - k[580]*y[17]*y[9]) -(k[587]*y[17] - k[588]*y[6]*y[20]) -(k[589]*y[17] - k[590]*y[4]*y[9]) +(k[615]*y[40] - k[616]*y[17]*y[17]) +(k[615]*y[40] - k[616]*y[17]*y[17]) +(k[629]*y[45] - k[630]*y[17]*y[13]) +(k[637]*y[44] - k[638]*y[17]*y[7]) )
    df_list.append(  +(k[21]*y[5]*y[17] - k[22]*y[7]*y[18]) +(k[61]*y[7]*y[17] - k[62]*y[2]*y[18]) -(k[107]*y[13]*y[18] - k[108]*y[15]*y[17]) -(k[137]*y[10]*y[18] - k[138]*y[13]*y[17]) -(k[161]*y[16]*y[18] - k[162]*y[13]*y[17]) -(k[211]*y[14]*y[18] - k[212]*y[11]*y[17]) -(k[245]*y[1]*y[18] - k[246]*y[21]*y[20]) -(k[259]*y[18]*y[4] - k[260]*y[17]*y[17]) -(k[261]*y[18]*y[6] - k[262]*y[33]*y[9]) -(k[263]*y[18]*y[9] - k[264]*y[17]*y[20]) +(k[265]*y[17]*y[17] - k[266]*y[18]*y[19]) -(k[325]*y[35]*y[18] - k[326]*y[34]*y[17]) +(k[373]*y[33]*y[17] - k[374]*y[34]*y[18]*y[9]) +(k[391]*y[40]*y[17] - k[392]*y[18]*y[33]*y[9]) -(k[423]*y[24]*y[18] - k[424]*y[43]*y[17]) +(k[445]*y[44]*y[9] - k[446]*y[18]*y[7]) -(k[497]*y[16]*y[18]*M - k[498]*y[45]*M) -(k[535]*y[18]*y[4]*M - k[536]*y[40]*M) +(k[539]*y[17]*y[9]*M - k[540]*y[18]*M) +(k[547]*y[4]*y[20]*M - k[548]*y[18]*M) -(k[579]*y[18] - k[580]*y[17]*y[9]) -(k[581]*y[18] - k[582]*y[4]*y[20]) -(k[583]*y[18] - k[584]*y[4]*y[9]*y[9]) -(k[585]*y[18] - k[586]*y[6]*y[20]*y[9]) +(k[613]*y[40] - k[614]*y[18]*y[4]) +(k[635]*y[44] - k[636]*y[18]*y[2]) )
    df_list.append(  -(k[23]*y[5]*y[19] - k[24]*y[7]*y[17]) +(k[29]*y[5]*y[6] - k[30]*y[7]*y[19]) -(k[63]*y[7]*y[19] - k[64]*y[2]*y[17]) +(k[67]*y[7]*y[6] - k[68]*y[2]*y[19]) +(k[109]*y[13]*y[17] - k[110]*y[15]*y[19]) -(k[111]*y[13]*y[19] - k[112]*y[5]*y[9]) -(k[113]*y[13]*y[19] - k[114]*y[15]*y[6]) -(k[141]*y[10]*y[19] - k[142]*y[2]*y[9]*y[9]) -(k[143]*y[10]*y[19] - k[144]*y[2]*y[20]) -(k[165]*y[16]*y[19] - k[166]*y[7]*y[9]) +(k[177]*y[21]*y[23] - k[178]*y[30]*y[19]) +(k[181]*y[21]*y[1] - k[182]*y[30]*y[19]) +(k[187]*y[21]*y[6] - k[188]*y[11]*y[19]) +(k[213]*y[14]*y[17] - k[214]*y[11]*y[19]) -(k[229]*y[22]*y[19] - k[230]*y[21]*y[9]) -(k[239]*y[23]*y[19] - k[240]*y[11]*y[9]) -(k[249]*y[1]*y[19] - k[250]*y[11]*y[9]) -(k[251]*y[1]*y[19] - k[252]*y[14]*y[9]*y[9]) +(k[265]*y[17]*y[17] - k[266]*y[18]*y[19]) -(k[267]*y[17]*y[19] - k[268]*y[33]*y[9]) +(k[275]*y[17]*y[9] - k[276]*y[19]*y[20]) -(k[277]*y[19]*y[19] - k[278]*y[34]*y[20]) -(k[277]*y[19]*y[19] - k[278]*y[34]*y[20]) -(k[279]*y[19]*y[4] - k[280]*y[34]*y[9]*y[9]) -(k[281]*y[19]*y[6] - k[282]*y[34]*y[9]) -(k[283]*y[19]*y[6] - k[284]*y[35]*y[9]*y[9]) -(k[285]*y[19]*y[9] - k[286]*y[6]*y[20]) +(k[295]*y[4]*y[9] - k[296]*y[19]*y[9]) +(k[315]*y[37]*y[9] - k[316]*y[2]*y[19]) +(k[355]*y[35]*y[13] - k[356]*y[2]*y[19]) +(k[359]*y[34]*y[10] - k[360]*y[2]*y[19]) +(k[367]*y[33]*y[10] - k[368]*y[5]*y[19]) -(k[379]*y[40]*y[19] - k[380]*y[33]*y[17]*y[9]) -(k[485]*y[10]*y[19]*M - k[486]*y[5]*M) -(k[515]*y[14]*y[19]*M - k[516]*y[31]*M) -(k[521]*y[23]*y[19]*M - k[522]*y[21]*M) -(k[527]*y[1]*y[19]*M - k[528]*y[21]*M) -(k[541]*y[19]*y[19]*M - k[542]*y[33]*M) -(k[541]*y[19]*y[19]*M - k[542]*y[33]*M) -(k[543]*y[19]*y[9]*M - k[544]*y[17]*M) +(k[555]*y[6]*y[9]*M - k[556]*y[19]*M) +(k[563]*y[4]*M - k[564]*y[19]*M) +(k[567]*y[29]*y[20]*M - k[568]*y[19]*M) -(k[657]*y[19] - k[658]*y[6]*y[9]) )
    df_list.append(  +(k[31]*y[5]*y[9] - k[32]*y[7]*y[20]) +(k[37]*y[7]*y[7] - k[38]*y[2]*y[2]*y[20]) +(k[71]*y[7]*y[9] - k[72]*y[2]*y[20]) +(k[119]*y[13]*y[6] - k[120]*y[2]*y[20]) -(k[123]*y[13]*y[20] - k[124]*y[15]*y[9]) +(k[143]*y[10]*y[19] - k[144]*y[2]*y[20]) -(k[151]*y[10]*y[20] - k[152]*y[13]*y[9]) +(k[169]*y[16]*y[4] - k[170]*y[2]*y[20]) -(k[173]*y[16]*y[20] - k[174]*y[13]*y[9]) +(k[191]*y[21]*y[9] - k[192]*y[11]*y[20]) -(k[217]*y[14]*y[20] - k[218]*y[11]*y[9]) +(k[227]*y[22]*y[17] - k[228]*y[21]*y[20]) +(k[235]*y[22]*y[9] - k[236]*y[20]*y[23]) +(k[245]*y[1]*y[18] - k[246]*y[21]*y[20]) -(k[257]*y[1]*y[20] - k[258]*y[22]*y[9]) +(k[263]*y[18]*y[9] - k[264]*y[17]*y[20]) +(k[275]*y[17]*y[9] - k[276]*y[19]*y[20]) +(k[277]*y[19]*y[19] - k[278]*y[34]*y[20]) +(k[285]*y[19]*y[9] - k[286]*y[6]*y[20]) +(k[287]*y[4]*y[4] - k[288]*y[34]*y[20]) -(k[291]*y[4]*y[20] - k[292]*y[17]*y[9]) +(k[293]*y[4]*y[9] - k[294]*y[6]*y[20]) +(k[299]*y[6]*y[9] - k[300]*y[29]*y[20]) +(k[311]*y[36]*y[9] - k[312]*y[27]*y[20]) -(k[351]*y[35]*y[20] - k[352]*y[34]*y[9]) +(k[383]*y[40]*y[9] - k[384]*y[33]*y[20]*y[9]) +(k[409]*y[24]*y[10] - k[410]*y[20]*y[3]) -(k[419]*y[24]*y[20] - k[420]*y[43]*y[9]) +(k[427]*y[25]*y[9] - k[428]*y[20]*y[3]) +(k[441]*y[44]*y[23] - k[442]*y[11]*y[20]*y[7]) +(k[443]*y[44]*y[9] - k[444]*y[2]*y[20]*y[17]) -(k[503]*y[16]*y[20]*M - k[504]*y[15]*M) -(k[547]*y[4]*y[20]*M - k[548]*y[18]*M) -(k[553]*y[6]*y[20]*M - k[554]*y[17]*M) +(k[559]*y[9]*y[9]*M - k[560]*y[20]*M) -(k[567]*y[29]*y[20]*M - k[568]*y[19]*M) +(k[575]*y[15] - k[576]*y[20]*y[16]) +(k[581]*y[18] - k[582]*y[4]*y[20]) +(k[585]*y[18] - k[586]*y[6]*y[20]*y[9]) +(k[587]*y[17] - k[588]*y[6]*y[20]) -(k[593]*y[20] - k[594]*y[9]*y[9]) +(k[601]*y[33] - k[602]*y[34]*y[20]) +(k[607]*y[40] - k[608]*y[33]*y[20]) +(k[611]*y[40] - k[612]*y[34]*y[20]*y[20]) +(k[611]*y[40] - k[612]*y[34]*y[20]*y[20]) +(k[621]*y[5] - k[622]*y[20]*y[2]) +(k[631]*y[45] - k[632]*y[5]*y[20]) )
    df_list.append(  -(k[33]*y[7]*y[21] - k[34]*y[5]*y[11]) -(k[125]*y[10]*y[21] - k[126]*y[28]*y[9]) -(k[127]*y[10]*y[21] - k[128]*y[13]*y[11]) -(k[153]*y[16]*y[21] - k[154]*y[10]*y[21]) +(k[153]*y[16]*y[21] - k[154]*y[10]*y[21]) -(k[155]*y[16]*y[21] - k[156]*y[28]*y[9]) -(k[157]*y[16]*y[21] - k[158]*y[13]*y[11]) -(k[175]*y[21]*y[22] - k[176]*y[11]*y[24]) -(k[177]*y[21]*y[23] - k[178]*y[30]*y[19]) -(k[179]*y[21]*y[23] - k[180]*y[11]*y[22]) -(k[181]*y[21]*y[1] - k[182]*y[30]*y[19]) -(k[183]*y[21]*y[1] - k[184]*y[30]*y[4]) -(k[185]*y[21]*y[6] - k[186]*y[31]*y[9]) -(k[187]*y[21]*y[6] - k[188]*y[11]*y[19]) -(k[189]*y[21]*y[6] - k[190]*y[11]*y[4]) -(k[191]*y[21]*y[9] - k[192]*y[11]*y[20]) -(k[193]*y[21] - k[194]*y[11]*y[9]) +(k[227]*y[22]*y[17] - k[228]*y[21]*y[20]) +(k[229]*y[22]*y[19] - k[230]*y[21]*y[9]) +(k[231]*y[22]*y[4] - k[232]*y[21]*y[9]) +(k[237]*y[23]*y[17] - k[238]*y[21]*y[9]) +(k[245]*y[1]*y[18] - k[246]*y[21]*y[20]) +(k[247]*y[1]*y[17] - k[248]*y[21]*y[9]) +(k[521]*y[23]*y[19]*M - k[522]*y[21]*M) +(k[527]*y[1]*y[19]*M - k[528]*y[21]*M) +(k[529]*y[1]*y[4]*M - k[530]*y[21]*M) )
    df_list.append(  -(k[49]*y[7]*y[22] - k[50]*y[5]*y[23]) -(k[51]*y[7]*y[22] - k[52]*y[2]*y[24]) +(k[55]*y[7]*y[23] - k[56]*y[2]*y[22]) +(k[59]*y[7]*y[1] - k[60]*y[2]*y[22]) -(k[99]*y[13]*y[22] - k[100]*y[25]*y[9]) -(k[101]*y[13]*y[22] - k[102]*y[15]*y[23]) -(k[133]*y[10]*y[22] - k[134]*y[3]*y[9]) -(k[135]*y[10]*y[22] - k[136]*y[13]*y[23]) -(k[175]*y[21]*y[22] - k[176]*y[11]*y[24]) +(k[179]*y[21]*y[23] - k[180]*y[11]*y[22]) -(k[203]*y[14]*y[22] - k[204]*y[11]*y[23]) -(k[205]*y[14]*y[22] - k[206]*y[6]*y[30]) -(k[219]*y[22]*y[22] - k[220]*y[30]*y[9]*y[9]) -(k[219]*y[22]*y[22] - k[220]*y[30]*y[9]*y[9]) -(k[221]*y[22]*y[22] - k[222]*y[24]*y[23]) -(k[221]*y[22]*y[22] - k[222]*y[24]*y[23]) -(k[223]*y[22]*y[23] - k[224]*y[30]*y[9]) -(k[225]*y[22]*y[1] - k[226]*y[30]*y[9]) -(k[227]*y[22]*y[17] - k[228]*y[21]*y[20]) -(k[229]*y[22]*y[19] - k[230]*y[21]*y[9]) -(k[231]*y[22]*y[4] - k[232]*y[21]*y[9]) -(k[233]*y[22]*y[6] - k[234]*y[11]*y[9]) -(k[235]*y[22]*y[9] - k[236]*y[20]*y[23]) +(k[257]*y[1]*y[20] - k[258]*y[22]*y[9]) +(k[341]*y[8]*y[9] - k[342]*y[22]*y[2]) +(k[407]*y[24]*y[10] - k[408]*y[13]*y[22]) +(k[413]*y[24]*y[13] - k[414]*y[15]*y[22]) +(k[525]*y[23]*y[9]*M - k[526]*y[22]*M) +(k[533]*y[1]*y[9]*M - k[534]*y[22]*M) +(k[647]*y[43] - k[648]*y[22]*y[9]*y[9]) +(k[653]*y[50] - k[654]*y[22]*y[2]) )
    df_list.append(  +(k[49]*y[7]*y[22] - k[50]*y[5]*y[23]) -(k[53]*y[7]*y[23] - k[54]*y[8]*y[9]) -(k[55]*y[7]*y[23] - k[56]*y[2]*y[22]) +(k[101]*y[13]*y[22] - k[102]*y[15]*y[23]) -(k[103]*y[13]*y[23] - k[104]*y[3]*y[9]) +(k[129]*y[10]*y[14] - k[130]*y[2]*y[23]) +(k[135]*y[10]*y[22] - k[136]*y[13]*y[23]) -(k[177]*y[21]*y[23] - k[178]*y[30]*y[19]) -(k[179]*y[21]*y[23] - k[180]*y[11]*y[22]) +(k[203]*y[14]*y[22] - k[204]*y[11]*y[23]) -(k[207]*y[14]*y[23] - k[208]*y[30]*y[29]) +(k[221]*y[22]*y[22] - k[222]*y[24]*y[23]) -(k[223]*y[22]*y[23] - k[224]*y[30]*y[9]) +(k[235]*y[22]*y[9] - k[236]*y[20]*y[23]) -(k[237]*y[23]*y[17] - k[238]*y[21]*y[9]) -(k[239]*y[23]*y[19] - k[240]*y[11]*y[9]) -(k[241]*y[23]*y[4] - k[242]*y[14]*y[9]*y[9]) -(k[243]*y[23]*y[6] - k[244]*y[14]*y[9]) -(k[345]*y[3]*y[23] - k[346]*y[30]*y[10]) -(k[349]*y[27]*y[23] - k[350]*y[3]*y[10]) -(k[369]*y[33]*y[23] - k[370]*y[11]*y[17]) -(k[441]*y[44]*y[23] - k[442]*y[11]*y[20]*y[7]) -(k[447]*y[45]*y[23] - k[448]*y[17]*y[25]) -(k[483]*y[10]*y[23]*M - k[484]*y[3]*M) -(k[521]*y[23]*y[19]*M - k[522]*y[21]*M) -(k[523]*y[23]*y[23]*M - k[524]*y[30]*M) -(k[523]*y[23]*y[23]*M - k[524]*y[30]*M) -(k[525]*y[23]*y[9]*M - k[526]*y[22]*M) +(k[561]*y[1]*M - k[562]*y[23]*M) +(k[643]*y[30] - k[644]*y[23]*y[23]) +(k[643]*y[30] - k[644]*y[23]*y[23]) +(k[651]*y[3] - k[652]*y[23]*y[10]) )
    df_list.append(  +(k[51]*y[7]*y[22] - k[52]*y[2]*y[24]) +(k[175]*y[21]*y[22] - k[176]*y[11]*y[24]) +(k[221]*y[22]*y[22] - k[222]*y[24]*y[23]) -(k[405]*y[24]*y[10] - k[406]*y[9]*y[25]) -(k[407]*y[24]*y[10] - k[408]*y[13]*y[22]) -(k[409]*y[24]*y[10] - k[410]*y[20]*y[3]) -(k[411]*y[24]*y[3] - k[412]*y[30]*y[15]) -(k[413]*y[24]*y[13] - k[414]*y[15]*y[22]) -(k[415]*y[24]*y[36] - k[416]*y[15]*y[25]) -(k[417]*y[24]*y[36] - k[418]*y[43]*y[27]) -(k[419]*y[24]*y[20] - k[420]*y[43]*y[9]) -(k[421]*y[24]*y[40] - k[422]*y[43]*y[33]*y[9]) -(k[423]*y[24]*y[18] - k[424]*y[43]*y[17]) +(k[435]*y[43]*y[10] - k[436]*y[24]*y[13]) +(k[437]*y[43]*y[13] - k[438]*y[24]*y[15]) +(k[439]*y[43]*y[14] - k[440]*y[11]*y[24]) +(k[645]*y[43] - k[646]*y[24]*y[9]) )
    df_list.append(  +(k[83]*y[15]*y[1] - k[84]*y[25]*y[9]) +(k[99]*y[13]*y[22] - k[100]*y[25]*y[9]) +(k[405]*y[24]*y[10] - k[406]*y[9]*y[25]) +(k[415]*y[24]*y[36] - k[416]*y[15]*y[25]) -(k[425]*y[25]*y[10] - k[426]*y[13]*y[3]) -(k[427]*y[25]*y[9] - k[428]*y[20]*y[3]) -(k[429]*y[25]*y[13] - k[430]*y[15]*y[3]) -(k[431]*y[25]*y[7] - k[432]*y[5]*y[3]) -(k[433]*y[14]*y[25] - k[434]*y[11]*y[3]) +(k[447]*y[45]*y[23] - k[448]*y[17]*y[25]) )
    df_list.append(  +(k[87]*y[13]*y[11] - k[88]*y[26]*y[9]) +(k[467]*y[13]*y[14]*M - k[468]*y[26]*M) )
    df_list.append(  +(k[95]*y[13]*y[10] - k[96]*y[27]*y[9]) +(k[97]*y[13]*y[16] - k[98]*y[27]*y[9]) -(k[301]*y[29]*y[27] - k[302]*y[2]*y[10]) +(k[305]*y[36]*y[10] - k[306]*y[27]*y[13]) +(k[311]*y[36]*y[9] - k[312]*y[27]*y[20]) +(k[313]*y[36]*y[13] - k[314]*y[15]*y[27]) -(k[327]*y[27]*y[8] - k[328]*y[0]*y[3]) -(k[329]*y[27]*y[6] - k[330]*y[13]*y[2]) -(k[331]*y[27]*y[7] - k[332]*y[2]*y[36]) -(k[333]*y[27]*y[35] - k[334]*y[10]*y[37]) -(k[335]*y[27]*y[35] - k[336]*y[2]*y[7]) -(k[337]*y[27]*y[14] - k[338]*y[8]*y[10]) -(k[349]*y[27]*y[23] - k[350]*y[3]*y[10]) +(k[417]*y[24]*y[36] - k[418]*y[43]*y[27]) +(k[481]*y[10]*y[10]*M - k[482]*y[27]*M) +(k[495]*y[16]*y[16]*M - k[496]*y[27]*M) -(k[569]*y[27]*y[9]*M - k[570]*y[36]*M) -(k[625]*y[27] - k[626]*y[10]*y[10]) -(k[627]*y[27] - k[628]*y[10]*y[16]) )
    df_list.append(  +(k[125]*y[10]*y[21] - k[126]*y[28]*y[9]) +(k[155]*y[16]*y[21] - k[156]*y[28]*y[9]) +(k[321]*y[37]*y[3] - k[322]*y[28]*y[2]) +(k[455]*y[7]*y[1]*M - k[456]*y[28]*M) +(k[491]*y[16]*y[11]*M - k[492]*y[28]*M) )
    df_list.append(  +(k[149]*y[10]*y[6] - k[150]*y[13]*y[29]) +(k[207]*y[14]*y[23] - k[208]*y[30]*y[29]) +(k[209]*y[14]*y[1] - k[210]*y[30]*y[29]) +(k[215]*y[14]*y[6] - k[216]*y[11]*y[29]) +(k[299]*y[6]*y[9] - k[300]*y[29]*y[20]) -(k[301]*y[29]*y[27] - k[302]*y[2]*y[10]) -(k[303]*y[29]*y[3] - k[304]*y[14]*y[10]) -(k[567]*y[29]*y[20]*M - k[568]*y[19]*M) +(k[591]*y[2] - k[592]*y[29]*y[10]) +(k[659]*y[6] - k[660]*y[29]*y[9]) )
    df_list.append(  +(k[177]*y[21]*y[23] - k[178]*y[30]*y[19]) +(k[181]*y[21]*y[1] - k[182]*y[30]*y[19]) +(k[183]*y[21]*y[1] - k[184]*y[30]*y[4]) +(k[197]*y[11]*y[1] - k[198]*y[30]*y[6]) +(k[205]*y[14]*y[22] - k[206]*y[6]*y[30]) +(k[207]*y[14]*y[23] - k[208]*y[30]*y[29]) +(k[209]*y[14]*y[1] - k[210]*y[30]*y[29]) +(k[219]*y[22]*y[22] - k[220]*y[30]*y[9]*y[9]) +(k[223]*y[22]*y[23] - k[224]*y[30]*y[9]) +(k[225]*y[22]*y[1] - k[226]*y[30]*y[9]) +(k[343]*y[8]*y[3] - k[344]*y[30]*y[0]) +(k[345]*y[3]*y[23] - k[346]*y[30]*y[10]) +(k[347]*y[3]*y[1] - k[348]*y[30]*y[10]) +(k[411]*y[24]*y[3] - k[412]*y[30]*y[15]) +(k[523]*y[23]*y[23]*M - k[524]*y[30]*M) +(k[531]*y[1]*y[1]*M - k[532]*y[30]*M) -(k[643]*y[30] - k[644]*y[23]*y[23]) )
    df_list.append(  +(k[185]*y[21]*y[6] - k[186]*y[31]*y[9]) +(k[199]*y[11]*y[4] - k[200]*y[31]*y[9]) +(k[509]*y[11]*y[6]*M - k[510]*y[31]*M) +(k[515]*y[14]*y[19]*M - k[516]*y[31]*M) +(k[517]*y[14]*y[4]*M - k[518]*y[31]*M) )
    df_list.append(  +(k[195]*y[11]*y[14] - k[196]*y[32]*y[9]) +(k[511]*y[14]*y[14]*M - k[512]*y[32]*M) )
    df_list.append(  +(k[261]*y[18]*y[6] - k[262]*y[33]*y[9]) +(k[267]*y[17]*y[19] - k[268]*y[33]*y[9]) +(k[269]*y[17]*y[4] - k[270]*y[33]*y[9]) +(k[271]*y[17]*y[6] - k[272]*y[33]) -(k[365]*y[33]*y[10] - k[366]*y[7]*y[17]) -(k[367]*y[33]*y[10] - k[368]*y[5]*y[19]) -(k[369]*y[33]*y[23] - k[370]*y[11]*y[17]) -(k[371]*y[33]*y[13] - k[372]*y[34]*y[15]*y[9]) -(k[373]*y[33]*y[17] - k[374]*y[34]*y[18]*y[9]) -(k[375]*y[33]*y[14] - k[376]*y[39]*y[9]) -(k[377]*y[33]*y[14] - k[378]*y[11]*y[34]*y[9]) +(k[379]*y[40]*y[19] - k[380]*y[33]*y[17]*y[9]) +(k[381]*y[40]*y[10] - k[382]*y[33]*y[13]*y[9]) +(k[383]*y[40]*y[9] - k[384]*y[33]*y[20]*y[9]) +(k[385]*y[40]*y[13] - k[386]*y[33]*y[15]*y[9]) +(k[387]*y[40]*y[6] - k[388]*y[33]*y[17]) +(k[391]*y[40]*y[17] - k[392]*y[18]*y[33]*y[9]) +(k[393]*y[40]*y[35] - k[394]*y[34]*y[33]*y[9]) +(k[395]*y[40]*y[14] - k[396]*y[11]*y[33]*y[9]) +(k[397]*y[40]*y[16] - k[398]*y[33]*y[13]*y[9]) +(k[421]*y[24]*y[40] - k[422]*y[43]*y[33]*y[9]) -(k[451]*y[33]*y[1] - k[452]*y[46]*y[9]) +(k[541]*y[19]*y[19]*M - k[542]*y[33]*M) +(k[545]*y[4]*y[4]*M - k[546]*y[33]*M) -(k[601]*y[33] - k[602]*y[34]*y[20]) -(k[603]*y[33] - k[604]*y[34]*y[9]*y[9]) -(k[605]*y[33] - k[606]*y[48]*y[9]) +(k[607]*y[40] - k[608]*y[33]*y[20]) +(k[609]*y[40] - k[610]*y[33]*y[9]*y[9]) )
    df_list.append(  +(k[273]*y[17]*y[6] - k[274]*y[34]*y[9]*y[9]) +(k[277]*y[19]*y[19] - k[278]*y[34]*y[20]) +(k[279]*y[19]*y[4] - k[280]*y[34]*y[9]*y[9]) +(k[281]*y[19]*y[6] - k[282]*y[34]*y[9]) +(k[287]*y[4]*y[4] - k[288]*y[34]*y[20]) +(k[289]*y[4]*y[6] - k[290]*y[34]*y[9]) +(k[325]*y[35]*y[18] - k[326]*y[34]*y[17]) +(k[351]*y[35]*y[20] - k[352]*y[34]*y[9]) +(k[353]*y[35]*y[13] - k[354]*y[34]*y[10]) -(k[359]*y[34]*y[10] - k[360]*y[2]*y[19]) -(k[361]*y[34]*y[14] - k[362]*y[38]*y[9]) -(k[363]*y[34]*y[14] - k[364]*y[11]*y[35]) +(k[371]*y[33]*y[13] - k[372]*y[34]*y[15]*y[9]) +(k[373]*y[33]*y[17] - k[374]*y[34]*y[18]*y[9]) +(k[377]*y[33]*y[14] - k[378]*y[11]*y[34]*y[9]) +(k[393]*y[40]*y[35] - k[394]*y[34]*y[33]*y[9]) +(k[401]*y[41]*y[35] - k[402]*y[42]*y[34]) +(k[453]*y[41]*y[14] - k[454]*y[46]*y[34]*y[9]) +(k[551]*y[6]*y[6]*M - k[552]*y[34]*M) +(k[565]*y[35]*y[9]*M - k[566]*y[34]*M) -(k[595]*y[34] - k[596]*y[35]*y[9]) +(k[601]*y[33] - k[602]*y[34]*y[20]) +(k[603]*y[33] - k[604]*y[34]*y[9]*y[9]) +(k[611]*y[40] - k[612]*y[34]*y[20]*y[20]) )
    df_list.append(  +(k[283]*y[19]*y[6] - k[284]*y[35]*y[9]*y[9]) +(k[297]*y[6]*y[6] - k[298]*y[35]*y[9]) -(k[323]*y[35]*y[10] - k[324]*y[6]*y[2]) -(k[325]*y[35]*y[18] - k[326]*y[34]*y[17]) -(k[333]*y[27]*y[35] - k[334]*y[10]*y[37]) -(k[335]*y[27]*y[35] - k[336]*y[2]*y[7]) -(k[351]*y[35]*y[20] - k[352]*y[34]*y[9]) -(k[353]*y[35]*y[13] - k[354]*y[34]*y[10]) -(k[355]*y[35]*y[13] - k[356]*y[2]*y[19]) -(k[357]*y[35]*y[36] - k[358]*y[13]*y[37]) +(k[363]*y[34]*y[14] - k[364]*y[11]*y[35]) -(k[393]*y[40]*y[35] - k[394]*y[34]*y[33]*y[9]) -(k[401]*y[41]*y[35] - k[402]*y[42]*y[34]) -(k[403]*y[11]*y[35] - k[404]*y[38]*y[9]) -(k[565]*y[35]*y[9]*M - k[566]*y[34]*M) +(k[595]*y[34] - k[596]*y[35]*y[9]) )
    df_list.append(  -(k[305]*y[36]*y[10] - k[306]*y[27]*y[13]) -(k[307]*y[36]*y[9] - k[308]*y[15]*y[10]) -(k[309]*y[36]*y[9] - k[310]*y[13]*y[13]) -(k[311]*y[36]*y[9] - k[312]*y[27]*y[20]) -(k[313]*y[36]*y[13] - k[314]*y[15]*y[27]) +(k[331]*y[27]*y[7] - k[332]*y[2]*y[36]) -(k[357]*y[35]*y[36] - k[358]*y[13]*y[37]) -(k[415]*y[24]*y[36] - k[416]*y[15]*y[25]) -(k[417]*y[24]*y[36] - k[418]*y[43]*y[27]) +(k[471]*y[13]*y[10]*M - k[472]*y[36]*M) +(k[473]*y[13]*y[16]*M - k[474]*y[36]*M) +(k[569]*y[27]*y[9]*M - k[570]*y[36]*M) -(k[639]*y[36] - k[640]*y[10]*y[13]) )
    df_list.append(  -(k[315]*y[37]*y[9] - k[316]*y[2]*y[19]) -(k[317]*y[37]*y[10] - k[318]*y[2]*y[2]*y[9]) -(k[319]*y[37]*y[3] - k[320]*y[11]*y[0]) -(k[321]*y[37]*y[3] - k[322]*y[28]*y[2]) +(k[333]*y[27]*y[35] - k[334]*y[10]*y[37]) +(k[357]*y[35]*y[36] - k[358]*y[13]*y[37]) +(k[463]*y[2]*y[6]*M - k[464]*y[37]*M) )
    df_list.append(  +(k[361]*y[34]*y[14] - k[362]*y[38]*y[9]) +(k[403]*y[11]*y[35] - k[404]*y[38]*y[9]) )
    df_list.append(  +(k[375]*y[33]*y[14] - k[376]*y[39]*y[9]) )
    df_list.append(  -(k[379]*y[40]*y[19] - k[380]*y[33]*y[17]*y[9]) -(k[381]*y[40]*y[10] - k[382]*y[33]*y[13]*y[9]) -(k[383]*y[40]*y[9] - k[384]*y[33]*y[20]*y[9]) -(k[385]*y[40]*y[13] - k[386]*y[33]*y[15]*y[9]) -(k[387]*y[40]*y[6] - k[388]*y[33]*y[17]) -(k[389]*y[40]*y[6] - k[390]*y[41]*y[9]) -(k[391]*y[40]*y[17] - k[392]*y[18]*y[33]*y[9]) -(k[393]*y[40]*y[35] - k[394]*y[34]*y[33]*y[9]) -(k[395]*y[40]*y[14] - k[396]*y[11]*y[33]*y[9]) -(k[397]*y[40]*y[16] - k[398]*y[33]*y[13]*y[9]) -(k[399]*y[40]*y[16] - k[400]*y[40]*y[10]) +(k[399]*y[40]*y[16] - k[400]*y[40]*y[10]) -(k[421]*y[24]*y[40] - k[422]*y[43]*y[33]*y[9]) +(k[535]*y[18]*y[4]*M - k[536]*y[40]*M) +(k[537]*y[17]*y[17]*M - k[538]*y[40]*M) -(k[607]*y[40] - k[608]*y[33]*y[20]) -(k[609]*y[40] - k[610]*y[33]*y[9]*y[9]) -(k[611]*y[40] - k[612]*y[34]*y[20]*y[20]) -(k[613]*y[40] - k[614]*y[18]*y[4]) -(k[615]*y[40] - k[616]*y[17]*y[17]) )
    df_list.append(  +(k[389]*y[40]*y[6] - k[390]*y[41]*y[9]) -(k[401]*y[41]*y[35] - k[402]*y[42]*y[34]) -(k[453]*y[41]*y[14] - k[454]*y[46]*y[34]*y[9]) )
    df_list.append(  +(k[401]*y[41]*y[35] - k[402]*y[42]*y[34]) )
    df_list.append(  +(k[417]*y[24]*y[36] - k[418]*y[43]*y[27]) +(k[419]*y[24]*y[20] - k[420]*y[43]*y[9]) +(k[421]*y[24]*y[40] - k[422]*y[43]*y[33]*y[9]) +(k[423]*y[24]*y[18] - k[424]*y[43]*y[17]) -(k[435]*y[43]*y[10] - k[436]*y[24]*y[13]) -(k[437]*y[43]*y[13] - k[438]*y[24]*y[15]) -(k[439]*y[43]*y[14] - k[440]*y[11]*y[24]) -(k[645]*y[43] - k[646]*y[24]*y[9]) -(k[647]*y[43] - k[648]*y[22]*y[9]*y[9]) )
    df_list.append(  -(k[441]*y[44]*y[23] - k[442]*y[11]*y[20]*y[7]) -(k[443]*y[44]*y[9] - k[444]*y[2]*y[20]*y[17]) -(k[445]*y[44]*y[9] - k[446]*y[18]*y[7]) +(k[457]*y[7]*y[17]*M - k[458]*y[44]*M) -(k[635]*y[44] - k[636]*y[18]*y[2]) -(k[637]*y[44] - k[638]*y[17]*y[7]) )
    df_list.append(  -(k[447]*y[45]*y[23] - k[448]*y[17]*y[25]) -(k[449]*y[45]*y[13] - k[450]*y[5]*y[15]*y[9]) +(k[475]*y[13]*y[17]*M - k[476]*y[45]*M) +(k[497]*y[16]*y[18]*M - k[498]*y[45]*M) -(k[629]*y[45] - k[630]*y[17]*y[13]) -(k[631]*y[45] - k[632]*y[5]*y[20]) -(k[633]*y[45] - k[634]*y[49]*y[9]) )
    df_list.append(  +(k[451]*y[33]*y[1] - k[452]*y[46]*y[9]) +(k[453]*y[41]*y[14] - k[454]*y[46]*y[34]*y[9]) +(k[513]*y[14]*y[17]*M - k[514]*y[46]*M) )
    df_list.append(  +(k[571]*y[15] - k[572]*y[47]) -(k[661]*y[47] - k[662]*y[51]) )
    df_list.append(  +(k[605]*y[33] - k[606]*y[48]*y[9]) )
    df_list.append(  +(k[633]*y[45] - k[634]*y[49]*y[9]) )
    df_list.append(  -(k[653]*y[50] - k[654]*y[22]*y[2]) -(k[655]*y[50] - k[656]*y[9]*y[8]) )
    df_list.append(  +(k[661]*y[47] - k[662]*y[51]) )
    df_list.append(  +(k[663]*y[11] - k[664]*y[52]) )
    return df_list 

#CO2 + N_2D  -> CO + NO
v_1 = lambda k, M, CO2, NO, CO, N_2D : k[1]*CO2*N_2D - k[2]*CO*NO


#CO2 + CH2_1  -> H2CO + CO
v_3 = lambda k, M, H2CO, CO2, CH2_1, CO : k[3]*CO2*CH2_1 - k[4]*H2CO*CO


#CO2 + CH  -> HCO + CO
v_5 = lambda k, M, HCO, CO2, CO, CH : k[5]*CO2*CH - k[6]*HCO*CO


#NCO + H  -> O + HCN
v_7 = lambda k, M, O, NCO, HCN, H : k[7]*NCO*H - k[8]*O*HCN


#H2O2  -> OH + OH
v_9 = lambda k, M, H2O2, OH : k[9]*H2O2 - k[10]*OH*OH


#H2CO + CN  -> HCN + HCO
v_11 = lambda k, M, CN, HCO, HCN, H2CO : k[11]*H2CO*CN - k[12]*HCN*HCO


#H2CO + OH  -> H2O + CO + H
v_13 = lambda k, M, H, H2CO, H2O, OH, CO : k[13]*H2CO*OH - k[14]*H2O*CO*H


#H2CO + OH  -> H2O + HCO
v_15 = lambda k, M, HCO, OH, H2CO, H2O : k[15]*H2CO*OH - k[16]*H2O*HCO


#H2CO + O  -> HCO + OH
v_17 = lambda k, M, O, HCO, OH, H2CO : k[17]*H2CO*O - k[18]*HCO*OH


#H2CO + O_1  -> HCO + OH
v_19 = lambda k, M, O_1, HCO, OH, H2CO : k[19]*H2CO*O_1 - k[20]*HCO*OH


#H2CO + CH3  -> HCO + CH4
v_21 = lambda k, M, CH3, HCO, CH4, H2CO : k[21]*H2CO*CH3 - k[22]*HCO*CH4


#H2CO + CH2  -> HCO + CH3
v_23 = lambda k, M, CH3, HCO, CH2, H2CO : k[23]*H2CO*CH2 - k[24]*HCO*CH3


#H2CO + CH2_1  -> HCO + CH3
v_25 = lambda k, M, HCO, CH3, CH2_1, H2CO : k[25]*H2CO*CH2_1 - k[26]*HCO*CH3


#H2CO + CH  -> CO + CH3
v_27 = lambda k, M, CH3, H2CO, CO, CH : k[27]*H2CO*CH - k[28]*CO*CH3


#H2CO + CH  -> HCO + CH2
v_29 = lambda k, M, HCO, CH2, H2CO, CH : k[29]*H2CO*CH - k[30]*HCO*CH2


#H2CO + H  -> HCO + H2
v_31 = lambda k, M, HCO, H2, H, H2CO : k[31]*H2CO*H - k[32]*HCO*H2


#HCO + H2CN  -> H2CO + HCN
v_33 = lambda k, M, HCO, H2CN, H2CO, HCN : k[33]*HCO*H2CN - k[34]*H2CO*HCN


#HCO + HCO  -> H2CO + CO
v_35 = lambda k, M, HCO, H2CO, CO : k[35]*HCO*HCO - k[36]*H2CO*CO


#HCO + HCO  -> CO + CO + H2
v_37 = lambda k, M, H2, HCO, CO : k[37]*HCO*HCO - k[38]*CO*CO*H2


#HCO + CN  -> CO + HCN
v_39 = lambda k, M, CN, HCO, HCN, CO : k[39]*HCO*CN - k[40]*CO*HCN


#HCO + OH  -> CO + H2O
v_41 = lambda k, M, HCO, OH, H2O, CO : k[41]*HCO*OH - k[42]*CO*H2O


#HCO + O  -> CO2 + H
v_43 = lambda k, M, O, HCO, H, CO2 : k[43]*HCO*O - k[44]*CO2*H


#HCO + O  -> CO + OH
v_45 = lambda k, M, O, HCO, OH, CO : k[45]*HCO*O - k[46]*CO*OH


#HCO + O_1  -> CO2 + H
v_47 = lambda k, M, O_1, HCO, H, CO2 : k[47]*HCO*O_1 - k[48]*CO2*H


#HCO + NH  -> H2CO + N
v_49 = lambda k, M, H2CO, HCO, N, NH : k[49]*HCO*NH - k[50]*H2CO*N


#HCO + NH  -> CO + NH2
v_51 = lambda k, M, HCO, NH, CO, NH2 : k[51]*HCO*NH - k[52]*CO*NH2


#HCO + N  -> NCO + H
v_53 = lambda k, M, HCO, NCO, N, H : k[53]*HCO*N - k[54]*NCO*H


#HCO + N  -> CO + NH
v_55 = lambda k, M, HCO, N, NH, CO : k[55]*HCO*N - k[56]*CO*NH


#HCO + N_2D  -> NCO + H
v_57 = lambda k, M, HCO, NCO, H, N_2D : k[57]*HCO*N_2D - k[58]*NCO*H


#HCO + N_2D  -> CO + NH
v_59 = lambda k, M, HCO, NH, CO, N_2D : k[59]*HCO*N_2D - k[60]*CO*NH


#HCO + CH3  -> CO + CH4
v_61 = lambda k, M, CH3, HCO, CH4, CO : k[61]*HCO*CH3 - k[62]*CO*CH4


#HCO + CH2  -> CO + CH3
v_63 = lambda k, M, CH3, HCO, CH2, CO : k[63]*HCO*CH2 - k[64]*CO*CH3


#HCO + CH2_1  -> CO + CH3
v_65 = lambda k, M, CH3, HCO, CH2_1, CO : k[65]*HCO*CH2_1 - k[66]*CO*CH3


#HCO + CH  -> CO + CH2
v_67 = lambda k, M, HCO, CH2, CO, CH : k[67]*HCO*CH - k[68]*CO*CH2


#HCO + CH  -> CO + CH2_1
v_69 = lambda k, M, HCO, CH2_1, CO, CH : k[69]*HCO*CH - k[70]*CO*CH2_1


#HCO + H  -> CO + H2
v_71 = lambda k, M, H2, HCO, H, CO : k[71]*HCO*H - k[72]*CO*H2


#HCO + H  -> CO + H + H
v_73 = lambda k, M, HCO, H, CO : k[73]*HCO*H - k[74]*CO*H*H


#HCO  -> CO + H
v_75 = lambda k, M, HCO, H, CO : k[75]*HCO - k[76]*CO*H


#CO + OH  -> CO2 + H
v_77 = lambda k, M, CO2, OH, H, CO : k[77]*CO*OH - k[78]*CO2*H


#H2O + O_1  -> OH + OH
v_79 = lambda k, M, O_1, OH, H2O : k[79]*H2O*O_1 - k[80]*OH*OH


#H2O + CN  -> OH + HCN
v_81 = lambda k, M, CN, OH, H2O, HCN : k[81]*H2O*CN - k[82]*OH*HCN


#H2O + N_2D  -> HNO + H
v_83 = lambda k, M, HNO, H, H2O, N_2D : k[83]*H2O*N_2D - k[84]*HNO*H


#H2O + CH  -> H2CO + H
v_85 = lambda k, M, H2CO, H, H2O, CH : k[85]*H2O*CH - k[86]*H2CO*H


#OH + HCN  -> HOCN + H
v_87 = lambda k, M, HOCN, H, OH, HCN : k[87]*OH*HCN - k[88]*HOCN*H


#OH + CN  -> NCO + H
v_89 = lambda k, M, CN, NCO, OH, H : k[89]*OH*CN - k[90]*NCO*H


#OH + CN  -> HCN + O
v_91 = lambda k, M, CN, O, OH, HCN : k[91]*OH*CN - k[92]*HCN*O


#OH + OH  -> H2O + O
v_93 = lambda k, M, O, OH, H2O : k[93]*OH*OH - k[94]*H2O*O


#OH + O  -> O2 + H
v_95 = lambda k, M, O, OH, H, O2 : k[95]*OH*O - k[96]*O2*H


#OH + O_1  -> O2 + H
v_97 = lambda k, M, O_1, OH, H, O2 : k[97]*OH*O_1 - k[98]*O2*H


#OH + NH  -> HNO + H
v_99 = lambda k, M, HNO, H, OH, NH : k[99]*OH*NH - k[100]*HNO*H


#OH + NH  -> H2O + N
v_101 = lambda k, M, N, OH, NH, H2O : k[101]*OH*NH - k[102]*H2O*N


#OH + N  -> NO + H
v_103 = lambda k, M, N, NO, OH, H : k[103]*OH*N - k[104]*NO*H


#OH + N_2D  -> NO + H
v_105 = lambda k, M, NO, OH, H, N_2D : k[105]*OH*N_2D - k[106]*NO*H


#OH + CH4  -> H2O + CH3
v_107 = lambda k, M, CH4, OH, H2O, CH3 : k[107]*OH*CH4 - k[108]*H2O*CH3


#OH + CH3  -> H2O + CH2
v_109 = lambda k, M, CH3, CH2, OH, H2O : k[109]*OH*CH3 - k[110]*H2O*CH2


#OH + CH2  -> H2CO + H
v_111 = lambda k, M, H2CO, H, OH, CH2 : k[111]*OH*CH2 - k[112]*H2CO*H


#OH + CH2  -> H2O + CH
v_113 = lambda k, M, OH, CH2, H2O, CH : k[113]*OH*CH2 - k[114]*H2O*CH


#OH + CH2_1  -> H2CO + H
v_115 = lambda k, M, H2CO, H, OH, CH2_1 : k[115]*OH*CH2_1 - k[116]*H2CO*H


#OH + CH  -> HCO + H
v_117 = lambda k, M, HCO, OH, H, CH : k[117]*OH*CH - k[118]*HCO*H


#OH + CH  -> CO + H2
v_119 = lambda k, M, H2, OH, CO, CH : k[119]*OH*CH - k[120]*CO*H2


#OH + CH  -> CO + H + H
v_121 = lambda k, M, OH, H, CO, CH : k[121]*OH*CH - k[122]*CO*H*H


#OH + H2  -> H2O + H
v_123 = lambda k, M, H2, H, OH, H2O : k[123]*OH*H2 - k[124]*H2O*H


#O + H2CN  -> HCNO + H
v_125 = lambda k, M, O, H2CN, H, HCNO : k[125]*O*H2CN - k[126]*HCNO*H


#O + H2CN  -> OH + HCN
v_127 = lambda k, M, O, OH, H2CN, HCN : k[127]*O*H2CN - k[128]*OH*HCN


#O + CN  -> CO + N
v_129 = lambda k, M, O, CN, N, CO : k[129]*O*CN - k[130]*CO*N


#O + CN  -> CO + N_2D
v_131 = lambda k, M, O, CN, CO, N_2D : k[131]*O*CN - k[132]*CO*N_2D


#O + NH  -> NO + H
v_133 = lambda k, M, O, H, NO, NH : k[133]*O*NH - k[134]*NO*H


#O + NH  -> OH + N
v_135 = lambda k, M, O, N, OH, NH : k[135]*O*NH - k[136]*OH*N


#O + CH4  -> OH + CH3
v_137 = lambda k, M, O, CH4, OH, CH3 : k[137]*O*CH4 - k[138]*OH*CH3


#O + CH3  -> H2CO + H
v_139 = lambda k, M, O, CH3, H, H2CO : k[139]*O*CH3 - k[140]*H2CO*H


#O + CH2  -> CO + H + H
v_141 = lambda k, M, O, H, CH2, CO : k[141]*O*CH2 - k[142]*CO*H*H


#O + CH2  -> CO + H2
v_143 = lambda k, M, O, H2, CH2, CO : k[143]*O*CH2 - k[144]*CO*H2


#O + CH2_1  -> HCO + H
v_145 = lambda k, M, O, H, HCO, CH2_1 : k[145]*O*CH2_1 - k[146]*HCO*H


#O + CH  -> CO + H
v_147 = lambda k, M, O, H, CO, CH : k[147]*O*CH - k[148]*CO*H


#O + CH  -> OH + C
v_149 = lambda k, M, O, C, OH, CH : k[149]*O*CH - k[150]*OH*C


#O + H2  -> OH + H
v_151 = lambda k, M, O, H2, OH, H : k[151]*O*H2 - k[152]*OH*H


#O_1 + H2CN  -> O + H2CN
v_153 = lambda k, M, O_1, O, H2CN : k[153]*O_1*H2CN - k[154]*O*H2CN


#O_1 + H2CN  -> HCNO + H
v_155 = lambda k, M, O_1, H2CN, H, HCNO : k[155]*O_1*H2CN - k[156]*HCNO*H


#O_1 + H2CN  -> OH + HCN
v_157 = lambda k, M, O_1, OH, H2CN, HCN : k[157]*O_1*H2CN - k[158]*OH*HCN


#O_1 + CN  -> CO + N_2D
v_159 = lambda k, M, O_1, CN, CO, N_2D : k[159]*O_1*CN - k[160]*CO*N_2D


#O_1 + CH4  -> OH + CH3
v_161 = lambda k, M, O_1, CH4, OH, CH3 : k[161]*O_1*CH4 - k[162]*OH*CH3


#O_1 + CH3  -> H2CO + H
v_163 = lambda k, M, O_1, CH3, H, H2CO : k[163]*O_1*CH3 - k[164]*H2CO*H


#O_1 + CH2  -> HCO + H
v_165 = lambda k, M, O_1, H, HCO, CH2 : k[165]*O_1*CH2 - k[166]*HCO*H


#O_1 + CH2_1  -> CO + H + H
v_167 = lambda k, M, O_1, H, CH2_1, CO : k[167]*O_1*CH2_1 - k[168]*CO*H*H


#O_1 + CH2_1  -> CO + H2
v_169 = lambda k, M, O_1, H2, CH2_1, CO : k[169]*O_1*CH2_1 - k[170]*CO*H2


#O_1 + CH  -> CO + H
v_171 = lambda k, M, O_1, H, CO, CH : k[171]*O_1*CH - k[172]*CO*H


#O_1 + H2  -> OH + H
v_173 = lambda k, M, O_1, H2, OH, H : k[173]*O_1*H2 - k[174]*OH*H


#H2CN + NH  -> HCN + NH2
v_175 = lambda k, M, H2CN, NH, HCN, NH2 : k[175]*H2CN*NH - k[176]*HCN*NH2


#H2CN + N  -> N2 + CH2
v_177 = lambda k, M, N, N2, H2CN, CH2 : k[177]*H2CN*N - k[178]*N2*CH2


#H2CN + N  -> HCN + NH
v_179 = lambda k, M, N, H2CN, HCN, NH : k[179]*H2CN*N - k[180]*HCN*NH


#H2CN + N_2D  -> N2 + CH2
v_181 = lambda k, M, N2, H2CN, CH2, N_2D : k[181]*H2CN*N_2D - k[182]*N2*CH2


#H2CN + N_2D  -> N2 + CH2_1
v_183 = lambda k, M, N2, H2CN, CH2_1, N_2D : k[183]*H2CN*N_2D - k[184]*N2*CH2_1


#H2CN + CH  -> CH2CN + H
v_185 = lambda k, M, CH2CN, H2CN, H, CH : k[185]*H2CN*CH - k[186]*CH2CN*H


#H2CN + CH  -> HCN + CH2
v_187 = lambda k, M, CH2, H2CN, HCN, CH : k[187]*H2CN*CH - k[188]*HCN*CH2


#H2CN + CH  -> HCN + CH2_1
v_189 = lambda k, M, CH2_1, H2CN, HCN, CH : k[189]*H2CN*CH - k[190]*HCN*CH2_1


#H2CN + H  -> HCN + H2
v_191 = lambda k, M, H2, H2CN, H, HCN : k[191]*H2CN*H - k[192]*HCN*H2


#H2CN  -> HCN + H
v_193 = lambda k, M, H, H2CN, HCN : k[193]*H2CN - k[194]*HCN*H


#HCN + CN -> NCCN + H
v_195 = lambda k, M, CN, NCCN, HCN, H : k[195]*HCN*CN - k[196]*NCCN*H


#HCN + N_2D  -> N2 + CH
v_197 = lambda k, M, N2, CH, HCN, N_2D : k[197]*HCN*N_2D - k[198]*N2*CH


#HCN + CH2_1  -> CH2CN + H
v_199 = lambda k, M, H, CH2CN, HCN, CH2_1 : k[199]*HCN*CH2_1 - k[200]*CH2CN*H


#HCN + H  -> HCN + H
v_201 = lambda k, M, HCN, H : k[201]*HCN*H - k[202]*HCN*H


#CN + NH  -> HCN + N
v_203 = lambda k, M, CN, N, HCN, NH : k[203]*CN*NH - k[204]*HCN*N


#CN + NH  -> CH + N2
v_205 = lambda k, M, CN, N2, NH, CH : k[205]*CN*NH - k[206]*CH*N2


#CN + N  -> N2 + C
v_207 = lambda k, M, CN, C, N2, N : k[207]*CN*N - k[208]*N2*C


#CN + N_2D  -> N2 + C
v_209 = lambda k, M, CN, C, N2, N_2D : k[209]*CN*N_2D - k[210]*N2*C


#CN + CH4  -> HCN + CH3
v_211 = lambda k, M, CN, CH4, HCN, CH3 : k[211]*CN*CH4 - k[212]*HCN*CH3


#CN + CH3  -> HCN + CH2
v_213 = lambda k, M, CN, CH3, HCN, CH2 : k[213]*CN*CH3 - k[214]*HCN*CH2


#CN + CH  -> HCN + C
v_215 = lambda k, M, CN, C, HCN, CH : k[215]*CN*CH - k[216]*HCN*C


#CN + H2  -> HCN + H
v_217 = lambda k, M, CN, H2, HCN, H : k[217]*CN*H2 - k[218]*HCN*H


#NH + NH  -> N2 + H + H
v_219 = lambda k, M, N2, H, NH : k[219]*NH*NH - k[220]*N2*H*H


#NH + NH  -> NH2 + N
v_221 = lambda k, M, N, NH, NH2 : k[221]*NH*NH - k[222]*NH2*N


#NH + N  -> N2 + H
v_223 = lambda k, M, N2, H, N, NH : k[223]*NH*N - k[224]*N2*H


#NH + N_2D  -> N2 + H
v_225 = lambda k, M, N2, H, NH, N_2D : k[225]*NH*N_2D - k[226]*N2*H


#NH + CH3  -> H2CN + H2
v_227 = lambda k, M, CH3, H2CN, NH, H2 : k[227]*NH*CH3 - k[228]*H2CN*H2


#NH + CH2  -> H2CN + H
v_229 = lambda k, M, H, CH2, H2CN, NH : k[229]*NH*CH2 - k[230]*H2CN*H


#NH + CH2_1  -> H2CN + H
v_231 = lambda k, M, H, CH2_1, H2CN, NH : k[231]*NH*CH2_1 - k[232]*H2CN*H


#NH + CH  -> HCN + H
v_233 = lambda k, M, H, HCN, NH, CH : k[233]*NH*CH - k[234]*HCN*H


#NH + H  -> H2 + N
v_235 = lambda k, M, H2, H, N, NH : k[235]*NH*H - k[236]*H2*N


#N + CH3  -> H2CN + H
v_237 = lambda k, M, H2CN, CH3, N, H : k[237]*N*CH3 - k[238]*H2CN*H


#N + CH2  -> HCN + H
v_239 = lambda k, M, H, N, CH2, HCN : k[239]*N*CH2 - k[240]*HCN*H


#N + CH2_1  -> CN + H + H
v_241 = lambda k, M, CN, H, N, CH2_1 : k[241]*N*CH2_1 - k[242]*CN*H*H


#N + CH  -> CN + H
v_243 = lambda k, M, CN, N, H, CH : k[243]*N*CH - k[244]*CN*H


#N_2D + CH4  -> H2CN + H2
v_245 = lambda k, M, CH4, H2CN, H2, N_2D : k[245]*N_2D*CH4 - k[246]*H2CN*H2


#N_2D + CH3  -> H2CN + H
v_247 = lambda k, M, CH3, H2CN, H, N_2D : k[247]*N_2D*CH3 - k[248]*H2CN*H


#N_2D + CH2  -> HCN + H
v_249 = lambda k, M, H, HCN, CH2, N_2D : k[249]*N_2D*CH2 - k[250]*HCN*H


#N_2D + CH2  -> CN + H + H
v_251 = lambda k, M, CN, H, CH2, N_2D : k[251]*N_2D*CH2 - k[252]*CN*H*H


#N_2D + CH2_1  -> HCN + H
v_253 = lambda k, M, H, HCN, CH2_1, N_2D : k[253]*N_2D*CH2_1 - k[254]*HCN*H


#N_2D + CH  -> CN + H
v_255 = lambda k, M, CN, CH, H, N_2D : k[255]*N_2D*CH - k[256]*CN*H


#N_2D + H2  -> NH + H
v_257 = lambda k, M, H2, H, NH, N_2D : k[257]*N_2D*H2 - k[258]*NH*H


#CH4 + CH2_1  -> CH3 + CH3
v_259 = lambda k, M, CH4, CH2_1, CH3 : k[259]*CH4*CH2_1 - k[260]*CH3*CH3


#CH4 + CH  -> C2H4 + H
v_261 = lambda k, M, CH4, H, C2H4, CH : k[261]*CH4*CH - k[262]*C2H4*H


#CH4 + H  -> CH3 + H2
v_263 = lambda k, M, CH4, H, H2, CH3 : k[263]*CH4*H - k[264]*CH3*H2


#CH3 + CH3  -> CH4 + CH2
v_265 = lambda k, M, CH3, CH2, CH4 : k[265]*CH3*CH3 - k[266]*CH4*CH2


#CH3 + CH2  -> C2H4 + H
v_267 = lambda k, M, CH3, H, CH2, C2H4 : k[267]*CH3*CH2 - k[268]*C2H4*H


#CH3 + CH2_1  -> C2H4 + H
v_269 = lambda k, M, CH3, H, CH2_1, C2H4 : k[269]*CH3*CH2_1 - k[270]*C2H4*H


#CH3 + CH  -> C2H4
v_271 = lambda k, M, CH3, C2H4, CH : k[271]*CH3*CH - k[272]*C2H4


#CH3 + CH  -> C2H2 + H + H
v_273 = lambda k, M, CH3, H, C2H2, CH : k[273]*CH3*CH - k[274]*C2H2*H*H


#CH3 + H  -> CH2 + H2
v_275 = lambda k, M, CH3, CH2, H, H2 : k[275]*CH3*H - k[276]*CH2*H2


#CH2 + CH2  -> C2H2 + H2
v_277 = lambda k, M, H2, CH2, C2H2 : k[277]*CH2*CH2 - k[278]*C2H2*H2


#CH2 + CH2_1  -> C2H2 + H + H
v_279 = lambda k, M, H, CH2_1, CH2, C2H2 : k[279]*CH2*CH2_1 - k[280]*C2H2*H*H


#CH2 + CH  -> C2H2 + H
v_281 = lambda k, M, H, CH2, C2H2, CH : k[281]*CH2*CH - k[282]*C2H2*H


#CH2 + CH  -> C2H + H + H
v_283 = lambda k, M, H, C2H, CH2, CH : k[283]*CH2*CH - k[284]*C2H*H*H


#CH2 + H  -> CH + H2
v_285 = lambda k, M, H2, H, CH2, CH : k[285]*CH2*H - k[286]*CH*H2


#CH2_1 + CH2_1  -> C2H2 + H2
v_287 = lambda k, M, H2, CH2_1, C2H2 : k[287]*CH2_1*CH2_1 - k[288]*C2H2*H2


#CH2_1 + CH  -> C2H2 + H
v_289 = lambda k, M, H, CH2_1, C2H2, CH : k[289]*CH2_1*CH - k[290]*C2H2*H


#CH2_1 + H2  -> CH3 + H
v_291 = lambda k, M, H2, H, CH2_1, CH3 : k[291]*CH2_1*H2 - k[292]*CH3*H


#CH2_1 + H  -> CH + H2
v_293 = lambda k, M, H2, H, CH2_1, CH : k[293]*CH2_1*H - k[294]*CH*H2


#CH2_1 + H  -> CH2 + H
v_295 = lambda k, M, H, CH2, CH2_1 : k[295]*CH2_1*H - k[296]*CH2*H


#CH + CH  -> C2H + H
v_297 = lambda k, M, C2H, H, CH : k[297]*CH*CH - k[298]*C2H*H


#CH + H  -> C + H2
v_299 = lambda k, M, C, H, H2, CH : k[299]*CH*H - k[300]*C*H2


#C + O2  -> CO + O
v_301 = lambda k, M, O2, C, O, CO : k[301]*C*O2 - k[302]*CO*O


#C + NO  -> CN + O
v_303 = lambda k, M, CN, C, NO, O : k[303]*C*NO - k[304]*CN*O


#HO2 + O  -> O2 + OH
v_305 = lambda k, M, O, HO2, OH, O2 : k[305]*HO2*O - k[306]*O2*OH


#HO2 + H  -> H2O + O
v_307 = lambda k, M, O, HO2, H, H2O : k[307]*HO2*H - k[308]*H2O*O


#HO2 + H  -> OH + OH
v_309 = lambda k, M, HO2, OH, H : k[309]*HO2*H - k[310]*OH*OH


#HO2 + H  -> O2 + H2
v_311 = lambda k, M, O2, H2, HO2, H : k[311]*HO2*H - k[312]*O2*H2


#HO2 + OH  -> H2O + O2
v_313 = lambda k, M, O2, HO2, OH, H2O : k[313]*HO2*OH - k[314]*H2O*O2


#HCCO + H  -> CO + CH2
v_315 = lambda k, M, CH2, HCCO, H, CO : k[315]*HCCO*H - k[316]*CO*CH2


#HCCO + O  -> CO + CO + H
v_317 = lambda k, M, O, HCCO, H, CO : k[317]*HCCO*O - k[318]*CO*CO*H


#HCCO + NO  -> HCN + CO2
v_319 = lambda k, M, CO2, NO, HCCO, HCN : k[319]*HCCO*NO - k[320]*HCN*CO2


#HCCO + NO  -> HCNO + CO
v_321 = lambda k, M, NO, HCCO, CO, HCNO : k[321]*HCCO*NO - k[322]*HCNO*CO


#C2H + O  -> CH + CO
v_323 = lambda k, M, O, C2H, CO, CH : k[323]*C2H*O - k[324]*CH*CO


#C2H + CH4  -> C2H2 + CH3
v_325 = lambda k, M, CH4, C2H, C2H2, CH3 : k[325]*C2H*CH4 - k[326]*C2H2*CH3


#O2 + NCO  -> CO2 + NO
v_327 = lambda k, M, O2, NO, CO2, NCO : k[327]*O2*NCO - k[328]*CO2*NO


#O2 + CH  -> OH + CO
v_329 = lambda k, M, O2, OH, CO, CH : k[329]*O2*CH - k[330]*OH*CO


#O2 + HCO  -> CO + HO2
v_331 = lambda k, M, O2, HO2, HCO, CO : k[331]*O2*HCO - k[332]*CO*HO2


#O2 + C2H  -> O + HCCO
v_333 = lambda k, M, O2, C2H, HCCO, O : k[333]*O2*C2H - k[334]*O*HCCO


#O2 + C2H  -> CO + HCO
v_335 = lambda k, M, O2, HCO, C2H, CO : k[335]*O2*C2H - k[336]*CO*HCO


#O2 + CN  -> NCO + O
v_337 = lambda k, M, O2, CN, O, NCO : k[337]*O2*CN - k[338]*NCO*O


#NCO + O  -> NO + CO
v_339 = lambda k, M, O, NO, NCO, CO : k[339]*NCO*O - k[340]*NO*CO


#NCO + H  -> NH + CO
v_341 = lambda k, M, NCO, H, NH, CO : k[341]*NCO*H - k[342]*NH*CO


#NCO + NO  -> N2 + CO2
v_343 = lambda k, M, N2, NO, CO2, NCO : k[343]*NCO*NO - k[344]*N2*CO2


#NO + N  -> N2 + O
v_345 = lambda k, M, N2, NO, N, O : k[345]*NO*N - k[346]*N2*O


#NO + N_2D  -> N2 + O
v_347 = lambda k, M, N2, NO, O, N_2D : k[347]*NO*N_2D - k[348]*N2*O


#O2 + N  -> NO + O
v_349 = lambda k, M, O2, NO, N, O : k[349]*O2*N - k[350]*NO*O


#C2H + H2  -> C2H2 + H
v_351 = lambda k, M, H2, C2H, H, C2H2 : k[351]*C2H*H2 - k[352]*C2H2*H


#C2H + OH  -> C2H2 + O
v_353 = lambda k, M, O, C2H, OH, C2H2 : k[353]*C2H*OH - k[354]*C2H2*O


#C2H + OH  -> CO + CH2
v_355 = lambda k, M, C2H, OH, CH2, CO : k[355]*C2H*OH - k[356]*CO*CH2


#C2H + HO2  -> OH + HCCO
v_357 = lambda k, M, HO2, C2H, OH, HCCO : k[357]*C2H*HO2 - k[358]*OH*HCCO


#C2H2 + O  -> CO + CH2
v_359 = lambda k, M, O, CH2, C2H2, CO : k[359]*C2H2*O - k[360]*CO*CH2


#C2H2 + CN  -> HC3N + H
v_361 = lambda k, M, CN, HC3N, H, C2H2 : k[361]*C2H2*CN - k[362]*HC3N*H


#C2H2 + CN  -> HCN + C2H
v_363 = lambda k, M, CN, C2H, HCN, C2H2 : k[363]*C2H2*CN - k[364]*HCN*C2H


#C2H4 + O  -> HCO + CH3
v_365 = lambda k, M, O, CH3, HCO, C2H4 : k[365]*C2H4*O - k[366]*HCO*CH3


#C2H4 + O  -> H2CO + CH2
v_367 = lambda k, M, O, CH2, H2CO, C2H4 : k[367]*C2H4*O - k[368]*H2CO*CH2


#C2H4 + N  -> HCN + CH3
v_369 = lambda k, M, CH3, N, HCN, C2H4 : k[369]*C2H4*N - k[370]*HCN*CH3


#C2H4 + OH  -> C2H2 + H2O + H
v_371 = lambda k, M, H, H2O, C2H2, OH, C2H4 : k[371]*C2H4*OH - k[372]*C2H2*H2O*H


#C2H4 + CH3  -> C2H2 + CH4 + H
v_373 = lambda k, M, CH3, H, C2H2, CH4, C2H4 : k[373]*C2H4*CH3 - k[374]*C2H2*CH4*H


#C2H4 + CN   -> CH2CHCN + H
v_375 = lambda k, M, CN, H, C2H4, CH2CHCN : k[375]*C2H4*CN - k[376]*CH2CHCN*H


#C2H4 + CN  -> HCN + C2H2 + H
v_377 = lambda k, M, HCN, CN, H, C2H2, C2H4 : k[377]*C2H4*CN - k[378]*HCN*C2H2*H


#C2H6 + CH2  -> C2H4 + CH3 + H
v_379 = lambda k, M, C2H6, CH3, H, CH2, C2H4 : k[379]*C2H6*CH2 - k[380]*C2H4*CH3*H


#C2H6 + O  -> C2H4 + OH + H
v_381 = lambda k, M, C2H6, H, O, OH, C2H4 : k[381]*C2H6*O - k[382]*C2H4*OH*H


#C2H6 + H  -> C2H4 + H2 + H
v_383 = lambda k, M, C2H6, H2, H, C2H4 : k[383]*C2H6*H - k[384]*C2H4*H2*H


#C2H6 + OH  -> C2H4 + H2O + H
v_385 = lambda k, M, C2H6, H, H2O, OH, C2H4 : k[385]*C2H6*OH - k[386]*C2H4*H2O*H


#C2H6 + CH  -> C2H4 + CH3
v_387 = lambda k, M, C2H6, CH3, C2H4, CH : k[387]*C2H6*CH - k[388]*C2H4*CH3


#C2H6 + CH  -> CH3CHCH2 + H
v_389 = lambda k, M, C2H6, CH3CHCH2, H, CH : k[389]*C2H6*CH - k[390]*CH3CHCH2*H


#C2H6 + CH3  -> CH4 + C2H4 + H
v_391 = lambda k, M, C2H6, CH3, H, CH4, C2H4 : k[391]*C2H6*CH3 - k[392]*CH4*C2H4*H


#C2H6 + C2H  -> C2H2 + C2H4 + H
v_393 = lambda k, M, C2H6, H, C2H2, C2H, C2H4 : k[393]*C2H6*C2H - k[394]*C2H2*C2H4*H


#C2H6 + CN  -> HCN + C2H4 + H
v_395 = lambda k, M, HCN, C2H6, CN, H, C2H4 : k[395]*C2H6*CN - k[396]*HCN*C2H4*H


#C2H6 + O_1  -> C2H4 + OH + H
v_397 = lambda k, M, C2H6, O_1, H, OH, C2H4 : k[397]*C2H6*O_1 - k[398]*C2H4*OH*H


#C2H6 + O_1  -> C2H6 + O
v_399 = lambda k, M, C2H6, O, O_1 : k[399]*C2H6*O_1 - k[400]*C2H6*O


#CH3CHCH2 + C2H  -> CH2CHCH2 + C2H2
v_401 = lambda k, M, CH2CHCH2, CH3CHCH2, C2H, C2H2 : k[401]*CH3CHCH2*C2H - k[402]*CH2CHCH2*C2H2


#HCN + C2H  -> HC3N + H
v_403 = lambda k, M, C2H, HCN, H, HC3N : k[403]*HCN*C2H - k[404]*HC3N*H


#NH2 + O  -> H + HNO
v_405 = lambda k, M, O, HNO, H, NH2 : k[405]*NH2*O - k[406]*H*HNO


#NH2 + O  -> OH + NH
v_407 = lambda k, M, O, OH, NH, NH2 : k[407]*NH2*O - k[408]*OH*NH


#NH2 + O  -> H2 + NO
v_409 = lambda k, M, O, H2, NO, NH2 : k[409]*NH2*O - k[410]*H2*NO


#NH2 + NO  -> N2 + H2O
v_411 = lambda k, M, N2, NO, H2O, NH2 : k[411]*NH2*NO - k[412]*N2*H2O


#NH2 + OH  -> H2O + NH
v_413 = lambda k, M, NH, OH, H2O, NH2 : k[413]*NH2*OH - k[414]*H2O*NH


#NH2 + HO2  -> H2O + HNO
v_415 = lambda k, M, HNO, HO2, H2O, NH2 : k[415]*NH2*HO2 - k[416]*H2O*HNO


#NH2 + HO2  -> NH3 + O2
v_417 = lambda k, M, O2, HO2, NH2, NH3 : k[417]*NH2*HO2 - k[418]*NH3*O2


#NH2 + H2  -> NH3 + H
v_419 = lambda k, M, H2, H, NH2, NH3 : k[419]*NH2*H2 - k[420]*NH3*H


#NH2 + C2H6  -> NH3 + C2H4 + H
v_421 = lambda k, M, C2H6, H, NH3, C2H4, NH2 : k[421]*NH2*C2H6 - k[422]*NH3*C2H4*H


#NH2 + CH4  -> NH3 + CH3
v_423 = lambda k, M, CH3, CH4, NH2, NH3 : k[423]*NH2*CH4 - k[424]*NH3*CH3


#HNO + O  -> OH + NO
v_425 = lambda k, M, O, HNO, NO, OH : k[425]*HNO*O - k[426]*OH*NO


#HNO + H  -> H2 + NO
v_427 = lambda k, M, HNO, NO, H, H2 : k[427]*HNO*H - k[428]*H2*NO


#HNO + OH  -> H2O + NO
v_429 = lambda k, M, HNO, NO, OH, H2O : k[429]*HNO*OH - k[430]*H2O*NO


#HNO + HCO  -> H2CO + NO
v_431 = lambda k, M, HNO, HCO, NO, H2CO : k[431]*HNO*HCO - k[432]*H2CO*NO


#CN + HNO  -> HCN + NO
v_433 = lambda k, M, CN, HNO, NO, HCN : k[433]*CN*HNO - k[434]*HCN*NO


#NH3 + O  -> NH2 + OH
v_435 = lambda k, M, O, OH, NH2, NH3 : k[435]*NH3*O - k[436]*NH2*OH


#NH3 + OH  -> NH2 + H2O
v_437 = lambda k, M, OH, H2O, NH2, NH3 : k[437]*NH3*OH - k[438]*NH2*H2O


#NH3 + CN  -> HCN + NH2
v_439 = lambda k, M, CN, HCN, NH2, NH3 : k[439]*NH3*CN - k[440]*HCN*NH2


#CH3CHO + N  -> HCN + H2 + HCO
v_441 = lambda k, M, N, HCN, H2, HCO, CH3CHO : k[441]*CH3CHO*N - k[442]*HCN*H2*HCO


#CH3CHO + H  -> CO + H2 + CH3
v_443 = lambda k, M, CH3, H2, H, CO, CH3CHO : k[443]*CH3CHO*H - k[444]*CO*H2*CH3


#CH3CHO + H  -> CH4 + HCO
v_445 = lambda k, M, CH4, HCO, H, CH3CHO : k[445]*CH3CHO*H - k[446]*CH4*HCO


#CH3OH + N  -> CH3 + HNO
v_447 = lambda k, M, CH3OH, HNO, N, CH3 : k[447]*CH3OH*N - k[448]*CH3*HNO


#CH3OH + OH  -> H2CO + H2O + H
v_449 = lambda k, M, CH3OH, H, H2CO, H2O, OH : k[449]*CH3OH*OH - k[450]*H2CO*H2O*H


#C2H4 + N_2D  -> CH3CN + H
v_451 = lambda k, M, H, CH3CN, C2H4, N_2D : k[451]*C2H4*N_2D - k[452]*CH3CN*H


#CH3CHCH2 + CN  -> CH3CN + C2H2 + H
v_453 = lambda k, M, CH3CHCH2, CN, H, C2H2, CH3CN : k[453]*CH3CHCH2*CN - k[454]*CH3CN*C2H2*H


#HCO + N_2D + M -> HCNO + M
v_455 = lambda k, M, HCNO, HCO, N_2D : k[455]*HCO*N_2D*M - k[456]*HCNO*M


#HCO + CH3 + M -> CH3CHO + M
v_457 = lambda k, M, CH3, HCO, CH3CHO : k[457]*HCO*CH3*M - k[458]*CH3CHO*M


#HCO + H + M -> H2CO + M
v_459 = lambda k, M, H2CO, HCO, H : k[459]*HCO*H*M - k[460]*H2CO*M


#CO + O_1 + M ->	CO2 + M
v_461 = lambda k, M, O_1, CO2, CO : k[461]*CO*O_1*M - k[462]*CO2*M


#CO + CH + M -> HCCO + M
v_463 = lambda k, M, HCCO, CO, CH : k[463]*CO*CH*M - k[464]*HCCO*M


#CO + H + M -> HCO + M
v_465 = lambda k, M, HCO, H, CO : k[465]*CO*H*M - k[466]*HCO*M


#OH + CN + M -> HOCN + M
v_467 = lambda k, M, CN, OH, HOCN : k[467]*OH*CN*M - k[468]*HOCN*M


#OH + OH + M ->	H2O2 + M
v_469 = lambda k, M, H2O2, OH : k[469]*OH*OH*M - k[470]*H2O2*M


#OH + O + M ->	HO2 + M
v_471 = lambda k, M, O, HO2, OH : k[471]*OH*O*M - k[472]*HO2*M


#OH + O_1 + M ->	HO2 + M
v_473 = lambda k, M, O_1, HO2, OH : k[473]*OH*O_1*M - k[474]*HO2*M


#OH + CH3 + M ->	CH3OH + M
v_475 = lambda k, M, CH3, OH, CH3OH : k[475]*OH*CH3*M - k[476]*CH3OH*M


#OH + H + M ->	H2O + M
v_477 = lambda k, M, OH, H, H2O : k[477]*OH*H*M - k[478]*H2O*M


#O + CN + M -> NCO + M
v_479 = lambda k, M, O, CN, NCO : k[479]*O*CN*M - k[480]*NCO*M


#O + O + M -> O2 + M
v_481 = lambda k, M, O, O2 : k[481]*O*O*M - k[482]*O2*M


#O + N + M -> NO + M
v_483 = lambda k, M, O, NO, N : k[483]*O*N*M - k[484]*NO*M


#O + CH2 + M -> H2CO + M
v_485 = lambda k, M, O, H2CO, CH2 : k[485]*O*CH2*M - k[486]*H2CO*M


#O + CH + M ->	HCO + M
v_487 = lambda k, M, O, HCO, CH : k[487]*O*CH*M - k[488]*HCO*M


#O + H + M -> OH + M
v_489 = lambda k, M, O, OH, H : k[489]*O*H*M - k[490]*OH*M


#O_1 + HCN + M -> HCNO + M
v_491 = lambda k, M, O_1, HCNO, HCN : k[491]*O_1*HCN*M - k[492]*HCNO*M


#O_1 + CN + M -> NCO + M
v_493 = lambda k, M, O_1, CN, NCO : k[493]*O_1*CN*M - k[494]*NCO*M


#O_1 + O_1 + M -> O2 + M
v_495 = lambda k, M, O_1, O2 : k[495]*O_1*O_1*M - k[496]*O2*M


#O_1 + CH4 + M -> CH3OH + M
v_497 = lambda k, M, O_1, CH4, CH3OH : k[497]*O_1*CH4*M - k[498]*CH3OH*M


#O_1 + CH2_1 + M -> H2CO + M
v_499 = lambda k, M, O_1, H2CO, CH2_1 : k[499]*O_1*CH2_1*M - k[500]*H2CO*M


#O_1 + CH + M -> HCO + M
v_501 = lambda k, M, O_1, HCO, CH : k[501]*O_1*CH*M - k[502]*HCO*M


#O_1 + H2 + M -> H2O + M
v_503 = lambda k, M, O_1, H2, H2O : k[503]*O_1*H2*M - k[504]*H2O*M


#O_1 + H + M -> OH + M
v_505 = lambda k, M, O_1, OH, H : k[505]*O_1*H*M - k[506]*OH*M


#O_1 + M -> O + M
v_507 = lambda k, M, O_1, O : k[507]*O_1*M - k[508]*O*M


#HCN + CH + M -> CH2CN + M
v_509 = lambda k, M, CH2CN, HCN, CH : k[509]*HCN*CH*M - k[510]*CH2CN*M


#CN + CN + M -> NCCN + M
v_511 = lambda k, M, CN, NCCN : k[511]*CN*CN*M - k[512]*NCCN*M


#CN + CH3 + M -> CH3CN + M
v_513 = lambda k, M, CN, CH3, CH3CN : k[513]*CN*CH3*M - k[514]*CH3CN*M


#CN + CH2 + M -> CH2CN + M
v_515 = lambda k, M, CN, CH2CN, CH2 : k[515]*CN*CH2*M - k[516]*CH2CN*M


#CN + CH2_1 + M -> CH2CN + M
v_517 = lambda k, M, CN, CH2CN, CH2_1 : k[517]*CN*CH2_1*M - k[518]*CH2CN*M


#CN + H + M -> HCN + M
v_519 = lambda k, M, CN, H, HCN : k[519]*CN*H*M - k[520]*HCN*M


#N + CH2 + M -> H2CN + M
v_521 = lambda k, M, H2CN, N, CH2 : k[521]*N*CH2*M - k[522]*H2CN*M


#N + N + M -> N2 + M
v_523 = lambda k, M, N2, N : k[523]*N*N*M - k[524]*N2*M


#N + H + M -> NH + M
v_525 = lambda k, M, N, H, NH : k[525]*N*H*M - k[526]*NH*M


#N_2D + CH2 + M -> H2CN + M
v_527 = lambda k, M, H2CN, CH2, N_2D : k[527]*N_2D*CH2*M - k[528]*H2CN*M


#N_2D + CH2_1 + M -> H2CN + M
v_529 = lambda k, M, H2CN, CH2_1, N_2D : k[529]*N_2D*CH2_1*M - k[530]*H2CN*M


#N_2D + N_2D + M -> N2 + M
v_531 = lambda k, M, N2, N_2D : k[531]*N_2D*N_2D*M - k[532]*N2*M


#N_2D + H + M -> NH + M
v_533 = lambda k, M, H, NH, N_2D : k[533]*N_2D*H*M - k[534]*NH*M


#CH4 + CH2_1 + M -> C2H6 + M
v_535 = lambda k, M, C2H6, CH4, CH2_1 : k[535]*CH4*CH2_1*M - k[536]*C2H6*M


#CH3 + CH3 + M -> C2H6 + M
v_537 = lambda k, M, C2H6, CH3 : k[537]*CH3*CH3*M - k[538]*C2H6*M


#CH3 + H + M -> CH4 + M
v_539 = lambda k, M, CH3, H, CH4 : k[539]*CH3*H*M - k[540]*CH4*M


#CH2 + CH2 + M -> C2H4 + M
v_541 = lambda k, M, CH2, C2H4 : k[541]*CH2*CH2*M - k[542]*C2H4*M


#CH2 + H + M -> CH3 + M
v_543 = lambda k, M, CH3, H, CH2 : k[543]*CH2*H*M - k[544]*CH3*M


#CH2_1 + CH2_1 + M -> C2H4 + M
v_545 = lambda k, M, CH2_1, C2H4 : k[545]*CH2_1*CH2_1*M - k[546]*C2H4*M


#CH2_1 + H2 + M -> CH4 + M
v_547 = lambda k, M, H2, CH2_1, CH4 : k[547]*CH2_1*H2*M - k[548]*CH4*M


#CH2_1 + H + M -> CH3 + M
v_549 = lambda k, M, CH3, H, CH2_1 : k[549]*CH2_1*H*M - k[550]*CH3*M


#CH + CH + M -> C2H2 + M
v_551 = lambda k, M, C2H2, CH : k[551]*CH*CH*M - k[552]*C2H2*M


#CH + H2 + M -> CH3 + M
v_553 = lambda k, M, H2, CH3, CH : k[553]*CH*H2*M - k[554]*CH3*M


#CH + H + M -> CH2 + M
v_555 = lambda k, M, CH2, H, CH : k[555]*CH*H*M - k[556]*CH2*M


#CH + H + M -> CH2_1 + M
v_557 = lambda k, M, CH2_1, H, CH : k[557]*CH*H*M - k[558]*CH2_1*M


#H + H + M -> H2 + M
v_559 = lambda k, M, H2, H : k[559]*H*H*M - k[560]*H2*M


#N_2D + M -> N + M
v_561 = lambda k, M, N, N_2D : k[561]*N_2D*M - k[562]*N*M


#CH2_1 + M -> CH2 + M
v_563 = lambda k, M, CH2, CH2_1 : k[563]*CH2_1*M - k[564]*CH2*M


#C2H + H + M -> C2H2 + M
v_565 = lambda k, M, C2H, H, C2H2 : k[565]*C2H*H*M - k[566]*C2H2*M


#C + H2 + M -> CH2 + M
v_567 = lambda k, M, C, CH2, H2 : k[567]*C*H2*M - k[568]*CH2*M


#O2 + H + M -> HO2 + M
v_569 = lambda k, M, O2, HO2, H : k[569]*O2*H*M - k[570]*HO2*M


#H2O -> H2O_l_s
v_571 = lambda k, M, H2O_l_s, H2O : k[571]*H2O - k[572]*H2O_l_s


#H2O -> H + OH
v_573 = lambda k, M, H, OH, H2O : k[573]*H2O - k[574]*H*OH


#H2O -> H2 + O_1
v_575 = lambda k, M, O_1, H2, H2O : k[575]*H2O - k[576]*H2*O_1


#H2O -> H + H + O
v_577 = lambda k, M, O, H, H2O : k[577]*H2O - k[578]*H*H*O


#CH4 -> CH3 + H
v_579 = lambda k, M, CH4, H, CH3 : k[579]*CH4 - k[580]*CH3*H


#CH4 -> CH2_1 + H2
v_581 = lambda k, M, CH4, CH2_1, H2 : k[581]*CH4 - k[582]*CH2_1*H2


#CH4 -> CH2_1 + H + H
v_583 = lambda k, M, CH4, H, CH2_1 : k[583]*CH4 - k[584]*CH2_1*H*H


#CH4 -> CH + H2 + H
v_585 = lambda k, M, CH4, H, H2, CH : k[585]*CH4 - k[586]*CH*H2*H


#CH3 -> CH + H2
v_587 = lambda k, M, CH3, H2, CH : k[587]*CH3 - k[588]*CH*H2


#CH3 -> CH2_1 + H
v_589 = lambda k, M, CH3, H, CH2_1 : k[589]*CH3 - k[590]*CH2_1*H


#CO -> C + O
v_591 = lambda k, M, O, C, CO : k[591]*CO - k[592]*C*O


#H2 -> H + H
v_593 = lambda k, M, H2, H : k[593]*H2 - k[594]*H*H


#C2H2 -> C2H + H
v_595 = lambda k, M, C2H, H, C2H2 : k[595]*C2H2 - k[596]*C2H*H


#CO2 -> CO + O
v_597 = lambda k, M, O, CO2, CO : k[597]*CO2 - k[598]*CO*O


#CO2 -> CO + O_1
v_599 = lambda k, M, O_1, CO2, CO : k[599]*CO2 - k[600]*CO*O_1


#C2H4 -> C2H2 + H2
v_601 = lambda k, M, H2, C2H4, C2H2 : k[601]*C2H4 - k[602]*C2H2*H2


#C2H4 -> C2H2 + H + H
v_603 = lambda k, M, H, C2H4, C2H2 : k[603]*C2H4 - k[604]*C2H2*H*H


#C2H4 -> C2H3 + H
v_605 = lambda k, M, H, C2H4, C2H3 : k[605]*C2H4 - k[606]*C2H3*H


#C2H6 -> C2H4 + H2
v_607 = lambda k, M, C2H6, H2, C2H4 : k[607]*C2H6 - k[608]*C2H4*H2


#C2H6 -> C2H4 + H + H
v_609 = lambda k, M, C2H6, H, C2H4 : k[609]*C2H6 - k[610]*C2H4*H*H


#C2H6 -> C2H2 + H2 + H2
v_611 = lambda k, M, C2H6, H2, C2H2 : k[611]*C2H6 - k[612]*C2H2*H2*H2


#C2H6 -> CH4 + CH2_1
v_613 = lambda k, M, C2H6, CH4, CH2_1 : k[613]*C2H6 - k[614]*CH4*CH2_1


#C2H6 -> CH3 + CH3
v_615 = lambda k, M, C2H6, CH3 : k[615]*C2H6 - k[616]*CH3*CH3


#OH -> H + O
v_617 = lambda k, M, O, OH, H : k[617]*OH - k[618]*H*O


#HCO -> H + CO
v_619 = lambda k, M, HCO, H, CO : k[619]*HCO - k[620]*H*CO


#H2CO -> H2 + CO
v_621 = lambda k, M, H2, H2CO, CO : k[621]*H2CO - k[622]*H2*CO


#H2CO -> H + HCO
v_623 = lambda k, M, HCO, H, H2CO : k[623]*H2CO - k[624]*H*HCO


#O2 -> O + O
v_625 = lambda k, M, O2, O : k[625]*O2 - k[626]*O*O


#O2 -> O + O_1
v_627 = lambda k, M, O2, O, O_1 : k[627]*O2 - k[628]*O*O_1


#CH3OH -> CH3 + OH
v_629 = lambda k, M, CH3OH, OH, CH3 : k[629]*CH3OH - k[630]*CH3*OH


#CH3OH -> H2CO + H2
v_631 = lambda k, M, CH3OH, H2CO, H2 : k[631]*CH3OH - k[632]*H2CO*H2


#CH3OH -> CH3O + H
v_633 = lambda k, M, CH3OH, H, CH3O : k[633]*CH3OH - k[634]*CH3O*H


#CH3CHO -> CH4 + CO
v_635 = lambda k, M, CH4, CO, CH3CHO : k[635]*CH3CHO - k[636]*CH4*CO


#CH3CHO -> CH3 + HCO
v_637 = lambda k, M, CH3, HCO, CH3CHO : k[637]*CH3CHO - k[638]*CH3*HCO


#HO2 -> O + OH
v_639 = lambda k, M, O, HO2, OH : k[639]*HO2 - k[640]*O*OH


#H2O2 -> OH + OH
v_641 = lambda k, M, H2O2, OH : k[641]*H2O2 - k[642]*OH*OH


#N2 -> N + N
v_643 = lambda k, M, N2, N : k[643]*N2 - k[644]*N*N


#NH3 -> NH2 + H
v_645 = lambda k, M, H, NH2, NH3 : k[645]*NH3 - k[646]*NH2*H


#NH3 -> NH + H + H
v_647 = lambda k, M, H, NH, NH3 : k[647]*NH3 - k[648]*NH*H*H


#HCN -> H + CN
v_649 = lambda k, M, CN, HCN, H : k[649]*HCN - k[650]*H*CN


#NO  -> N + O
v_651 = lambda k, M, O, NO, N : k[651]*NO - k[652]*N*O


#HNCO -> NH + CO
v_653 = lambda k, M, HNCO, NH, CO : k[653]*HNCO - k[654]*NH*CO


#HNCO -> H + NCO
v_655 = lambda k, M, HNCO, NCO, H : k[655]*HNCO - k[656]*H*NCO


#CH2 -> CH + H
v_657 = lambda k, M, H, CH2, CH : k[657]*CH2 - k[658]*CH*H


#CH -> C + H
v_659 = lambda k, M, C, H, CH : k[659]*CH - k[660]*C*H


#H2O_l_s -> H2O_rain
v_661 = lambda k, M, H2O_l_s, H2O_rain : k[661]*H2O_l_s - k[662]*H2O_rain


#HCN -> HCN_rain
v_663 = lambda k, M, HCN_rain, HCN : k[663]*HCN - k[664]*HCN_rain


def rate_ans(sp): 
    rate_str = {}
    re_sp_dic = {}
    rate_str["CO2"] = [ -1*k[1]*y[0]*y[1], +1* k[2]*y[2]*y[3], -1*k[3]*y[0]*y[4], +1* k[4]*y[5]*y[2], -1*k[5]*y[0]*y[6], +1* k[6]*y[7]*y[2], +1*k[43]*y[7]*y[10], -1* k[44]*y[0]*y[9], +1*k[47]*y[7]*y[16], -1* k[48]*y[0]*y[9], +1*k[77]*y[2]*y[13], -1* k[78]*y[0]*y[9], +1*k[319]*y[37]*y[3], -1* k[320]*y[11]*y[0], +1*k[327]*y[27]*y[8], -1* k[328]*y[0]*y[3], +1*k[343]*y[8]*y[3], -1* k[344]*y[30]*y[0], +1*k[461]*y[2]*y[16]*M, -1* k[462]*y[0]*M, -1*k[597]*y[0], +1* k[598]*y[2]*y[10], -1*k[599]*y[0], +1* k[600]*y[2]*y[16]]
    rate_str["N_2D"] = [ -1*k[1]*y[0]*y[1], +1* k[2]*y[2]*y[3], -1*k[57]*y[7]*y[1], +1* k[58]*y[8]*y[9], -1*k[59]*y[7]*y[1], +1* k[60]*y[2]*y[22], -1*k[83]*y[15]*y[1], +1* k[84]*y[25]*y[9], -1*k[105]*y[13]*y[1], +1* k[106]*y[3]*y[9], +1*k[131]*y[10]*y[14], -1* k[132]*y[2]*y[1], +1*k[159]*y[16]*y[14], -1* k[160]*y[2]*y[1], -1*k[181]*y[21]*y[1], +1* k[182]*y[30]*y[19], -1*k[183]*y[21]*y[1], +1* k[184]*y[30]*y[4], -1*k[197]*y[11]*y[1], +1* k[198]*y[30]*y[6], -1*k[209]*y[14]*y[1], +1* k[210]*y[30]*y[29], -1*k[225]*y[22]*y[1], +1* k[226]*y[30]*y[9], -1*k[245]*y[1]*y[18], +1* k[246]*y[21]*y[20], -1*k[247]*y[1]*y[17], +1* k[248]*y[21]*y[9], -1*k[249]*y[1]*y[19], +1* k[250]*y[11]*y[9], -1*k[251]*y[1]*y[19], +1* k[252]*y[14]*y[9]*y[9], -1*k[253]*y[1]*y[4], +1* k[254]*y[11]*y[9], -1*k[255]*y[1]*y[6], +1* k[256]*y[14]*y[9], -1*k[257]*y[1]*y[20], +1* k[258]*y[22]*y[9], -1*k[347]*y[3]*y[1], +1* k[348]*y[30]*y[10], -1*k[451]*y[33]*y[1], +1* k[452]*y[46]*y[9], -1*k[455]*y[7]*y[1]*M, +1* k[456]*y[28]*M, -1*k[527]*y[1]*y[19]*M, +1* k[528]*y[21]*M, -1*k[529]*y[1]*y[4]*M, +1* k[530]*y[21]*M, -1*k[531]*y[1]*y[1]*M, +1* k[532]*y[30]*M, -1*k[531]*y[1]*y[1]*M, +1* k[532]*y[30]*M, -1*k[533]*y[1]*y[9]*M, +1* k[534]*y[22]*M, -1*k[561]*y[1]*M, +1* k[562]*y[23]*M]
    rate_str["CO"] = [ +1*k[1]*y[0]*y[1], -1* k[2]*y[2]*y[3], +1*k[3]*y[0]*y[4], -1* k[4]*y[5]*y[2], +1*k[5]*y[0]*y[6], -1* k[6]*y[7]*y[2], +1*k[13]*y[5]*y[13], -1* k[14]*y[15]*y[2]*y[9], +1*k[27]*y[5]*y[6], -1* k[28]*y[2]*y[17], +1*k[35]*y[7]*y[7], -1* k[36]*y[5]*y[2], +1*k[37]*y[7]*y[7], -1* k[38]*y[2]*y[2]*y[20], +1*k[37]*y[7]*y[7], -1* k[38]*y[2]*y[2]*y[20], +1*k[39]*y[7]*y[14], -1* k[40]*y[2]*y[11], +1*k[41]*y[7]*y[13], -1* k[42]*y[2]*y[15], +1*k[45]*y[7]*y[10], -1* k[46]*y[2]*y[13], +1*k[51]*y[7]*y[22], -1* k[52]*y[2]*y[24], +1*k[55]*y[7]*y[23], -1* k[56]*y[2]*y[22], +1*k[59]*y[7]*y[1], -1* k[60]*y[2]*y[22], +1*k[61]*y[7]*y[17], -1* k[62]*y[2]*y[18], +1*k[63]*y[7]*y[19], -1* k[64]*y[2]*y[17], +1*k[65]*y[7]*y[4], -1* k[66]*y[2]*y[17], +1*k[67]*y[7]*y[6], -1* k[68]*y[2]*y[19], +1*k[69]*y[7]*y[6], -1* k[70]*y[2]*y[4], +1*k[71]*y[7]*y[9], -1* k[72]*y[2]*y[20], +1*k[73]*y[7]*y[9], -1* k[74]*y[2]*y[9]*y[9], +1*k[75]*y[7], -1* k[76]*y[2]*y[9], -1*k[77]*y[2]*y[13], +1* k[78]*y[0]*y[9], +1*k[119]*y[13]*y[6], -1* k[120]*y[2]*y[20], +1*k[121]*y[13]*y[6], -1* k[122]*y[2]*y[9]*y[9], +1*k[129]*y[10]*y[14], -1* k[130]*y[2]*y[23], +1*k[131]*y[10]*y[14], -1* k[132]*y[2]*y[1], +1*k[141]*y[10]*y[19], -1* k[142]*y[2]*y[9]*y[9], +1*k[143]*y[10]*y[19], -1* k[144]*y[2]*y[20], +1*k[147]*y[10]*y[6], -1* k[148]*y[2]*y[9], +1*k[159]*y[16]*y[14], -1* k[160]*y[2]*y[1], +1*k[167]*y[16]*y[4], -1* k[168]*y[2]*y[9]*y[9], +1*k[169]*y[16]*y[4], -1* k[170]*y[2]*y[20], +1*k[171]*y[16]*y[6], -1* k[172]*y[2]*y[9], +1*k[301]*y[29]*y[27], -1* k[302]*y[2]*y[10], +1*k[315]*y[37]*y[9], -1* k[316]*y[2]*y[19], +1*k[317]*y[37]*y[10], -1* k[318]*y[2]*y[2]*y[9], +1*k[317]*y[37]*y[10], -1* k[318]*y[2]*y[2]*y[9], +1*k[321]*y[37]*y[3], -1* k[322]*y[28]*y[2], +1*k[323]*y[35]*y[10], -1* k[324]*y[6]*y[2], +1*k[329]*y[27]*y[6], -1* k[330]*y[13]*y[2], +1*k[331]*y[27]*y[7], -1* k[332]*y[2]*y[36], +1*k[335]*y[27]*y[35], -1* k[336]*y[2]*y[7], +1*k[339]*y[8]*y[10], -1* k[340]*y[3]*y[2], +1*k[341]*y[8]*y[9], -1* k[342]*y[22]*y[2], +1*k[355]*y[35]*y[13], -1* k[356]*y[2]*y[19], +1*k[359]*y[34]*y[10], -1* k[360]*y[2]*y[19], +1*k[443]*y[44]*y[9], -1* k[444]*y[2]*y[20]*y[17], -1*k[461]*y[2]*y[16]*M, +1* k[462]*y[0]*M, -1*k[463]*y[2]*y[6]*M, +1* k[464]*y[37]*M, -1*k[465]*y[2]*y[9]*M, +1* k[466]*y[7]*M, -1*k[591]*y[2], +1* k[592]*y[29]*y[10], +1*k[597]*y[0], -1* k[598]*y[2]*y[10], +1*k[599]*y[0], -1* k[600]*y[2]*y[16], +1*k[619]*y[7], -1* k[620]*y[9]*y[2], +1*k[621]*y[5], -1* k[622]*y[20]*y[2], +1*k[635]*y[44], -1* k[636]*y[18]*y[2], +1*k[653]*y[50], -1* k[654]*y[22]*y[2]]
    rate_str["NO"] = [ +1*k[1]*y[0]*y[1], -1* k[2]*y[2]*y[3], +1*k[103]*y[13]*y[23], -1* k[104]*y[3]*y[9], +1*k[105]*y[13]*y[1], -1* k[106]*y[3]*y[9], +1*k[133]*y[10]*y[22], -1* k[134]*y[3]*y[9], -1*k[303]*y[29]*y[3], +1* k[304]*y[14]*y[10], -1*k[319]*y[37]*y[3], +1* k[320]*y[11]*y[0], -1*k[321]*y[37]*y[3], +1* k[322]*y[28]*y[2], +1*k[327]*y[27]*y[8], -1* k[328]*y[0]*y[3], +1*k[339]*y[8]*y[10], -1* k[340]*y[3]*y[2], -1*k[343]*y[8]*y[3], +1* k[344]*y[30]*y[0], -1*k[345]*y[3]*y[23], +1* k[346]*y[30]*y[10], -1*k[347]*y[3]*y[1], +1* k[348]*y[30]*y[10], +1*k[349]*y[27]*y[23], -1* k[350]*y[3]*y[10], +1*k[409]*y[24]*y[10], -1* k[410]*y[20]*y[3], -1*k[411]*y[24]*y[3], +1* k[412]*y[30]*y[15], +1*k[425]*y[25]*y[10], -1* k[426]*y[13]*y[3], +1*k[427]*y[25]*y[9], -1* k[428]*y[20]*y[3], +1*k[429]*y[25]*y[13], -1* k[430]*y[15]*y[3], +1*k[431]*y[25]*y[7], -1* k[432]*y[5]*y[3], +1*k[433]*y[14]*y[25], -1* k[434]*y[11]*y[3], +1*k[483]*y[10]*y[23]*M, -1* k[484]*y[3]*M, -1*k[651]*y[3], +1* k[652]*y[23]*y[10]]
    rate_str["CH2_1"] = [ -1*k[3]*y[0]*y[4], +1* k[4]*y[5]*y[2], -1*k[25]*y[5]*y[4], +1* k[26]*y[7]*y[17], -1*k[65]*y[7]*y[4], +1* k[66]*y[2]*y[17], +1*k[69]*y[7]*y[6], -1* k[70]*y[2]*y[4], -1*k[115]*y[13]*y[4], +1* k[116]*y[5]*y[9], -1*k[145]*y[10]*y[4], +1* k[146]*y[7]*y[9], -1*k[167]*y[16]*y[4], +1* k[168]*y[2]*y[9]*y[9], -1*k[169]*y[16]*y[4], +1* k[170]*y[2]*y[20], +1*k[183]*y[21]*y[1], -1* k[184]*y[30]*y[4], +1*k[189]*y[21]*y[6], -1* k[190]*y[11]*y[4], -1*k[199]*y[11]*y[4], +1* k[200]*y[31]*y[9], -1*k[231]*y[22]*y[4], +1* k[232]*y[21]*y[9], -1*k[241]*y[23]*y[4], +1* k[242]*y[14]*y[9]*y[9], -1*k[253]*y[1]*y[4], +1* k[254]*y[11]*y[9], -1*k[259]*y[18]*y[4], +1* k[260]*y[17]*y[17], -1*k[269]*y[17]*y[4], +1* k[270]*y[33]*y[9], -1*k[279]*y[19]*y[4], +1* k[280]*y[34]*y[9]*y[9], -1*k[287]*y[4]*y[4], +1* k[288]*y[34]*y[20], -1*k[287]*y[4]*y[4], +1* k[288]*y[34]*y[20], -1*k[289]*y[4]*y[6], +1* k[290]*y[34]*y[9], -1*k[291]*y[4]*y[20], +1* k[292]*y[17]*y[9], -1*k[293]*y[4]*y[9], +1* k[294]*y[6]*y[20], -1*k[295]*y[4]*y[9], +1* k[296]*y[19]*y[9], -1*k[499]*y[16]*y[4]*M, +1* k[500]*y[5]*M, -1*k[517]*y[14]*y[4]*M, +1* k[518]*y[31]*M, -1*k[529]*y[1]*y[4]*M, +1* k[530]*y[21]*M, -1*k[535]*y[18]*y[4]*M, +1* k[536]*y[40]*M, -1*k[545]*y[4]*y[4]*M, +1* k[546]*y[33]*M, -1*k[545]*y[4]*y[4]*M, +1* k[546]*y[33]*M, -1*k[547]*y[4]*y[20]*M, +1* k[548]*y[18]*M, -1*k[549]*y[4]*y[9]*M, +1* k[550]*y[17]*M, +1*k[557]*y[6]*y[9]*M, -1* k[558]*y[4]*M, -1*k[563]*y[4]*M, +1* k[564]*y[19]*M, +1*k[581]*y[18], -1* k[582]*y[4]*y[20], +1*k[583]*y[18], -1* k[584]*y[4]*y[9]*y[9], +1*k[589]*y[17], -1* k[590]*y[4]*y[9], +1*k[613]*y[40], -1* k[614]*y[18]*y[4]]
    rate_str["H2CO"] = [ +1*k[3]*y[0]*y[4], -1* k[4]*y[5]*y[2], -1*k[11]*y[5]*y[14], +1* k[12]*y[11]*y[7], -1*k[13]*y[5]*y[13], +1* k[14]*y[15]*y[2]*y[9], -1*k[15]*y[5]*y[13], +1* k[16]*y[15]*y[7], -1*k[17]*y[5]*y[10], +1* k[18]*y[7]*y[13], -1*k[19]*y[5]*y[16], +1* k[20]*y[7]*y[13], -1*k[21]*y[5]*y[17], +1* k[22]*y[7]*y[18], -1*k[23]*y[5]*y[19], +1* k[24]*y[7]*y[17], -1*k[25]*y[5]*y[4], +1* k[26]*y[7]*y[17], -1*k[27]*y[5]*y[6], +1* k[28]*y[2]*y[17], -1*k[29]*y[5]*y[6], +1* k[30]*y[7]*y[19], -1*k[31]*y[5]*y[9], +1* k[32]*y[7]*y[20], +1*k[33]*y[7]*y[21], -1* k[34]*y[5]*y[11], +1*k[35]*y[7]*y[7], -1* k[36]*y[5]*y[2], +1*k[49]*y[7]*y[22], -1* k[50]*y[5]*y[23], +1*k[85]*y[15]*y[6], -1* k[86]*y[5]*y[9], +1*k[111]*y[13]*y[19], -1* k[112]*y[5]*y[9], +1*k[115]*y[13]*y[4], -1* k[116]*y[5]*y[9], +1*k[139]*y[10]*y[17], -1* k[140]*y[5]*y[9], +1*k[163]*y[16]*y[17], -1* k[164]*y[5]*y[9], +1*k[367]*y[33]*y[10], -1* k[368]*y[5]*y[19], +1*k[431]*y[25]*y[7], -1* k[432]*y[5]*y[3], +1*k[449]*y[45]*y[13], -1* k[450]*y[5]*y[15]*y[9], +1*k[459]*y[7]*y[9]*M, -1* k[460]*y[5]*M, +1*k[485]*y[10]*y[19]*M, -1* k[486]*y[5]*M, +1*k[499]*y[16]*y[4]*M, -1* k[500]*y[5]*M, -1*k[621]*y[5], +1* k[622]*y[20]*y[2], -1*k[623]*y[5], +1* k[624]*y[9]*y[7], +1*k[631]*y[45], -1* k[632]*y[5]*y[20]]
    rate_str["CH"] = [ -1*k[5]*y[0]*y[6], +1* k[6]*y[7]*y[2], -1*k[27]*y[5]*y[6], +1* k[28]*y[2]*y[17], -1*k[29]*y[5]*y[6], +1* k[30]*y[7]*y[19], -1*k[67]*y[7]*y[6], +1* k[68]*y[2]*y[19], -1*k[69]*y[7]*y[6], +1* k[70]*y[2]*y[4], -1*k[85]*y[15]*y[6], +1* k[86]*y[5]*y[9], +1*k[113]*y[13]*y[19], -1* k[114]*y[15]*y[6], -1*k[117]*y[13]*y[6], +1* k[118]*y[7]*y[9], -1*k[119]*y[13]*y[6], +1* k[120]*y[2]*y[20], -1*k[121]*y[13]*y[6], +1* k[122]*y[2]*y[9]*y[9], -1*k[147]*y[10]*y[6], +1* k[148]*y[2]*y[9], -1*k[149]*y[10]*y[6], +1* k[150]*y[13]*y[29], -1*k[171]*y[16]*y[6], +1* k[172]*y[2]*y[9], -1*k[185]*y[21]*y[6], +1* k[186]*y[31]*y[9], -1*k[187]*y[21]*y[6], +1* k[188]*y[11]*y[19], -1*k[189]*y[21]*y[6], +1* k[190]*y[11]*y[4], +1*k[197]*y[11]*y[1], -1* k[198]*y[30]*y[6], +1*k[205]*y[14]*y[22], -1* k[206]*y[6]*y[30], -1*k[215]*y[14]*y[6], +1* k[216]*y[11]*y[29], -1*k[233]*y[22]*y[6], +1* k[234]*y[11]*y[9], -1*k[243]*y[23]*y[6], +1* k[244]*y[14]*y[9], -1*k[255]*y[1]*y[6], +1* k[256]*y[14]*y[9], -1*k[261]*y[18]*y[6], +1* k[262]*y[33]*y[9], -1*k[271]*y[17]*y[6], +1* k[272]*y[33], -1*k[273]*y[17]*y[6], +1* k[274]*y[34]*y[9]*y[9], -1*k[281]*y[19]*y[6], +1* k[282]*y[34]*y[9], -1*k[283]*y[19]*y[6], +1* k[284]*y[35]*y[9]*y[9], +1*k[285]*y[19]*y[9], -1* k[286]*y[6]*y[20], -1*k[289]*y[4]*y[6], +1* k[290]*y[34]*y[9], +1*k[293]*y[4]*y[9], -1* k[294]*y[6]*y[20], -1*k[297]*y[6]*y[6], +1* k[298]*y[35]*y[9], -1*k[297]*y[6]*y[6], +1* k[298]*y[35]*y[9], -1*k[299]*y[6]*y[9], +1* k[300]*y[29]*y[20], +1*k[323]*y[35]*y[10], -1* k[324]*y[6]*y[2], -1*k[329]*y[27]*y[6], +1* k[330]*y[13]*y[2], -1*k[387]*y[40]*y[6], +1* k[388]*y[33]*y[17], -1*k[389]*y[40]*y[6], +1* k[390]*y[41]*y[9], -1*k[463]*y[2]*y[6]*M, +1* k[464]*y[37]*M, -1*k[487]*y[10]*y[6]*M, +1* k[488]*y[7]*M, -1*k[501]*y[16]*y[6]*M, +1* k[502]*y[7]*M, -1*k[509]*y[11]*y[6]*M, +1* k[510]*y[31]*M, -1*k[551]*y[6]*y[6]*M, +1* k[552]*y[34]*M, -1*k[551]*y[6]*y[6]*M, +1* k[552]*y[34]*M, -1*k[553]*y[6]*y[20]*M, +1* k[554]*y[17]*M, -1*k[555]*y[6]*y[9]*M, +1* k[556]*y[19]*M, -1*k[557]*y[6]*y[9]*M, +1* k[558]*y[4]*M, +1*k[585]*y[18], -1* k[586]*y[6]*y[20]*y[9], +1*k[587]*y[17], -1* k[588]*y[6]*y[20], +1*k[657]*y[19], -1* k[658]*y[6]*y[9], -1*k[659]*y[6], +1* k[660]*y[29]*y[9]]
    rate_str["HCO"] = [ +1*k[5]*y[0]*y[6], -1* k[6]*y[7]*y[2], +1*k[11]*y[5]*y[14], -1* k[12]*y[11]*y[7], +1*k[15]*y[5]*y[13], -1* k[16]*y[15]*y[7], +1*k[17]*y[5]*y[10], -1* k[18]*y[7]*y[13], +1*k[19]*y[5]*y[16], -1* k[20]*y[7]*y[13], +1*k[21]*y[5]*y[17], -1* k[22]*y[7]*y[18], +1*k[23]*y[5]*y[19], -1* k[24]*y[7]*y[17], +1*k[25]*y[5]*y[4], -1* k[26]*y[7]*y[17], +1*k[29]*y[5]*y[6], -1* k[30]*y[7]*y[19], +1*k[31]*y[5]*y[9], -1* k[32]*y[7]*y[20], -1*k[33]*y[7]*y[21], +1* k[34]*y[5]*y[11], -1*k[35]*y[7]*y[7], +1* k[36]*y[5]*y[2], -1*k[35]*y[7]*y[7], +1* k[36]*y[5]*y[2], -1*k[37]*y[7]*y[7], +1* k[38]*y[2]*y[2]*y[20], -1*k[37]*y[7]*y[7], +1* k[38]*y[2]*y[2]*y[20], -1*k[39]*y[7]*y[14], +1* k[40]*y[2]*y[11], -1*k[41]*y[7]*y[13], +1* k[42]*y[2]*y[15], -1*k[43]*y[7]*y[10], +1* k[44]*y[0]*y[9], -1*k[45]*y[7]*y[10], +1* k[46]*y[2]*y[13], -1*k[47]*y[7]*y[16], +1* k[48]*y[0]*y[9], -1*k[49]*y[7]*y[22], +1* k[50]*y[5]*y[23], -1*k[51]*y[7]*y[22], +1* k[52]*y[2]*y[24], -1*k[53]*y[7]*y[23], +1* k[54]*y[8]*y[9], -1*k[55]*y[7]*y[23], +1* k[56]*y[2]*y[22], -1*k[57]*y[7]*y[1], +1* k[58]*y[8]*y[9], -1*k[59]*y[7]*y[1], +1* k[60]*y[2]*y[22], -1*k[61]*y[7]*y[17], +1* k[62]*y[2]*y[18], -1*k[63]*y[7]*y[19], +1* k[64]*y[2]*y[17], -1*k[65]*y[7]*y[4], +1* k[66]*y[2]*y[17], -1*k[67]*y[7]*y[6], +1* k[68]*y[2]*y[19], -1*k[69]*y[7]*y[6], +1* k[70]*y[2]*y[4], -1*k[71]*y[7]*y[9], +1* k[72]*y[2]*y[20], -1*k[73]*y[7]*y[9], +1* k[74]*y[2]*y[9]*y[9], -1*k[75]*y[7], +1* k[76]*y[2]*y[9], +1*k[117]*y[13]*y[6], -1* k[118]*y[7]*y[9], +1*k[145]*y[10]*y[4], -1* k[146]*y[7]*y[9], +1*k[165]*y[16]*y[19], -1* k[166]*y[7]*y[9], -1*k[331]*y[27]*y[7], +1* k[332]*y[2]*y[36], +1*k[335]*y[27]*y[35], -1* k[336]*y[2]*y[7], +1*k[365]*y[33]*y[10], -1* k[366]*y[7]*y[17], -1*k[431]*y[25]*y[7], +1* k[432]*y[5]*y[3], +1*k[441]*y[44]*y[23], -1* k[442]*y[11]*y[20]*y[7], +1*k[445]*y[44]*y[9], -1* k[446]*y[18]*y[7], -1*k[455]*y[7]*y[1]*M, +1* k[456]*y[28]*M, -1*k[457]*y[7]*y[17]*M, +1* k[458]*y[44]*M, -1*k[459]*y[7]*y[9]*M, +1* k[460]*y[5]*M, +1*k[465]*y[2]*y[9]*M, -1* k[466]*y[7]*M, +1*k[487]*y[10]*y[6]*M, -1* k[488]*y[7]*M, +1*k[501]*y[16]*y[6]*M, -1* k[502]*y[7]*M, -1*k[619]*y[7], +1* k[620]*y[9]*y[2], +1*k[623]*y[5], -1* k[624]*y[9]*y[7], +1*k[637]*y[44], -1* k[638]*y[17]*y[7]]
    rate_str["NCO"] = [ -1*k[7]*y[8]*y[9], +1* k[8]*y[10]*y[11], +1*k[53]*y[7]*y[23], -1* k[54]*y[8]*y[9], +1*k[57]*y[7]*y[1], -1* k[58]*y[8]*y[9], +1*k[89]*y[13]*y[14], -1* k[90]*y[8]*y[9], -1*k[327]*y[27]*y[8], +1* k[328]*y[0]*y[3], +1*k[337]*y[27]*y[14], -1* k[338]*y[8]*y[10], -1*k[339]*y[8]*y[10], +1* k[340]*y[3]*y[2], -1*k[341]*y[8]*y[9], +1* k[342]*y[22]*y[2], -1*k[343]*y[8]*y[3], +1* k[344]*y[30]*y[0], +1*k[479]*y[10]*y[14]*M, -1* k[480]*y[8]*M, +1*k[493]*y[16]*y[14]*M, -1* k[494]*y[8]*M, +1*k[655]*y[50], -1* k[656]*y[9]*y[8]]
    rate_str["H"] = [ -1*k[7]*y[8]*y[9], +1* k[8]*y[10]*y[11], +1*k[13]*y[5]*y[13], -1* k[14]*y[15]*y[2]*y[9], -1*k[31]*y[5]*y[9], +1* k[32]*y[7]*y[20], +1*k[43]*y[7]*y[10], -1* k[44]*y[0]*y[9], +1*k[47]*y[7]*y[16], -1* k[48]*y[0]*y[9], +1*k[53]*y[7]*y[23], -1* k[54]*y[8]*y[9], +1*k[57]*y[7]*y[1], -1* k[58]*y[8]*y[9], -1*k[71]*y[7]*y[9], +1* k[72]*y[2]*y[20], -1*k[73]*y[7]*y[9], +1* k[74]*y[2]*y[9]*y[9], +1*k[73]*y[7]*y[9], -1* k[74]*y[2]*y[9]*y[9], +1*k[73]*y[7]*y[9], -1* k[74]*y[2]*y[9]*y[9], +1*k[75]*y[7], -1* k[76]*y[2]*y[9], +1*k[77]*y[2]*y[13], -1* k[78]*y[0]*y[9], +1*k[83]*y[15]*y[1], -1* k[84]*y[25]*y[9], +1*k[85]*y[15]*y[6], -1* k[86]*y[5]*y[9], +1*k[87]*y[13]*y[11], -1* k[88]*y[26]*y[9], +1*k[89]*y[13]*y[14], -1* k[90]*y[8]*y[9], +1*k[95]*y[13]*y[10], -1* k[96]*y[27]*y[9], +1*k[97]*y[13]*y[16], -1* k[98]*y[27]*y[9], +1*k[99]*y[13]*y[22], -1* k[100]*y[25]*y[9], +1*k[103]*y[13]*y[23], -1* k[104]*y[3]*y[9], +1*k[105]*y[13]*y[1], -1* k[106]*y[3]*y[9], +1*k[111]*y[13]*y[19], -1* k[112]*y[5]*y[9], +1*k[115]*y[13]*y[4], -1* k[116]*y[5]*y[9], +1*k[117]*y[13]*y[6], -1* k[118]*y[7]*y[9], +1*k[121]*y[13]*y[6], -1* k[122]*y[2]*y[9]*y[9], +1*k[121]*y[13]*y[6], -1* k[122]*y[2]*y[9]*y[9], +1*k[123]*y[13]*y[20], -1* k[124]*y[15]*y[9], +1*k[125]*y[10]*y[21], -1* k[126]*y[28]*y[9], +1*k[133]*y[10]*y[22], -1* k[134]*y[3]*y[9], +1*k[139]*y[10]*y[17], -1* k[140]*y[5]*y[9], +1*k[141]*y[10]*y[19], -1* k[142]*y[2]*y[9]*y[9], +1*k[141]*y[10]*y[19], -1* k[142]*y[2]*y[9]*y[9], +1*k[145]*y[10]*y[4], -1* k[146]*y[7]*y[9], +1*k[147]*y[10]*y[6], -1* k[148]*y[2]*y[9], +1*k[151]*y[10]*y[20], -1* k[152]*y[13]*y[9], +1*k[155]*y[16]*y[21], -1* k[156]*y[28]*y[9], +1*k[163]*y[16]*y[17], -1* k[164]*y[5]*y[9], +1*k[165]*y[16]*y[19], -1* k[166]*y[7]*y[9], +1*k[167]*y[16]*y[4], -1* k[168]*y[2]*y[9]*y[9], +1*k[167]*y[16]*y[4], -1* k[168]*y[2]*y[9]*y[9], +1*k[171]*y[16]*y[6], -1* k[172]*y[2]*y[9], +1*k[173]*y[16]*y[20], -1* k[174]*y[13]*y[9], +1*k[185]*y[21]*y[6], -1* k[186]*y[31]*y[9], -1*k[191]*y[21]*y[9], +1* k[192]*y[11]*y[20], +1*k[193]*y[21], -1* k[194]*y[11]*y[9], +1*k[195]*y[11]*y[14], -1* k[196]*y[32]*y[9], +1*k[199]*y[11]*y[4], -1* k[200]*y[31]*y[9], -1*k[201]*y[11]*y[9], +1* k[202]*y[11]*y[9], +1*k[201]*y[11]*y[9], -1* k[202]*y[11]*y[9], +1*k[217]*y[14]*y[20], -1* k[218]*y[11]*y[9], +1*k[219]*y[22]*y[22], -1* k[220]*y[30]*y[9]*y[9], +1*k[219]*y[22]*y[22], -1* k[220]*y[30]*y[9]*y[9], +1*k[223]*y[22]*y[23], -1* k[224]*y[30]*y[9], +1*k[225]*y[22]*y[1], -1* k[226]*y[30]*y[9], +1*k[229]*y[22]*y[19], -1* k[230]*y[21]*y[9], +1*k[231]*y[22]*y[4], -1* k[232]*y[21]*y[9], +1*k[233]*y[22]*y[6], -1* k[234]*y[11]*y[9], -1*k[235]*y[22]*y[9], +1* k[236]*y[20]*y[23], +1*k[237]*y[23]*y[17], -1* k[238]*y[21]*y[9], +1*k[239]*y[23]*y[19], -1* k[240]*y[11]*y[9], +1*k[241]*y[23]*y[4], -1* k[242]*y[14]*y[9]*y[9], +1*k[241]*y[23]*y[4], -1* k[242]*y[14]*y[9]*y[9], +1*k[243]*y[23]*y[6], -1* k[244]*y[14]*y[9], +1*k[247]*y[1]*y[17], -1* k[248]*y[21]*y[9], +1*k[249]*y[1]*y[19], -1* k[250]*y[11]*y[9], +1*k[251]*y[1]*y[19], -1* k[252]*y[14]*y[9]*y[9], +1*k[251]*y[1]*y[19], -1* k[252]*y[14]*y[9]*y[9], +1*k[253]*y[1]*y[4], -1* k[254]*y[11]*y[9], +1*k[255]*y[1]*y[6], -1* k[256]*y[14]*y[9], +1*k[257]*y[1]*y[20], -1* k[258]*y[22]*y[9], +1*k[261]*y[18]*y[6], -1* k[262]*y[33]*y[9], -1*k[263]*y[18]*y[9], +1* k[264]*y[17]*y[20], +1*k[267]*y[17]*y[19], -1* k[268]*y[33]*y[9], +1*k[269]*y[17]*y[4], -1* k[270]*y[33]*y[9], +1*k[273]*y[17]*y[6], -1* k[274]*y[34]*y[9]*y[9], +1*k[273]*y[17]*y[6], -1* k[274]*y[34]*y[9]*y[9], -1*k[275]*y[17]*y[9], +1* k[276]*y[19]*y[20], +1*k[279]*y[19]*y[4], -1* k[280]*y[34]*y[9]*y[9], +1*k[279]*y[19]*y[4], -1* k[280]*y[34]*y[9]*y[9], +1*k[281]*y[19]*y[6], -1* k[282]*y[34]*y[9], +1*k[283]*y[19]*y[6], -1* k[284]*y[35]*y[9]*y[9], +1*k[283]*y[19]*y[6], -1* k[284]*y[35]*y[9]*y[9], -1*k[285]*y[19]*y[9], +1* k[286]*y[6]*y[20], +1*k[289]*y[4]*y[6], -1* k[290]*y[34]*y[9], +1*k[291]*y[4]*y[20], -1* k[292]*y[17]*y[9], -1*k[293]*y[4]*y[9], +1* k[294]*y[6]*y[20], -1*k[295]*y[4]*y[9], +1* k[296]*y[19]*y[9], +1*k[295]*y[4]*y[9], -1* k[296]*y[19]*y[9], +1*k[297]*y[6]*y[6], -1* k[298]*y[35]*y[9], -1*k[299]*y[6]*y[9], +1* k[300]*y[29]*y[20], -1*k[307]*y[36]*y[9], +1* k[308]*y[15]*y[10], -1*k[309]*y[36]*y[9], +1* k[310]*y[13]*y[13], -1*k[311]*y[36]*y[9], +1* k[312]*y[27]*y[20], -1*k[315]*y[37]*y[9], +1* k[316]*y[2]*y[19], +1*k[317]*y[37]*y[10], -1* k[318]*y[2]*y[2]*y[9], -1*k[341]*y[8]*y[9], +1* k[342]*y[22]*y[2], +1*k[351]*y[35]*y[20], -1* k[352]*y[34]*y[9], +1*k[361]*y[34]*y[14], -1* k[362]*y[38]*y[9], +1*k[371]*y[33]*y[13], -1* k[372]*y[34]*y[15]*y[9], +1*k[373]*y[33]*y[17], -1* k[374]*y[34]*y[18]*y[9], +1*k[375]*y[33]*y[14], -1* k[376]*y[39]*y[9], +1*k[377]*y[33]*y[14], -1* k[378]*y[11]*y[34]*y[9], +1*k[379]*y[40]*y[19], -1* k[380]*y[33]*y[17]*y[9], +1*k[381]*y[40]*y[10], -1* k[382]*y[33]*y[13]*y[9], -1*k[383]*y[40]*y[9], +1* k[384]*y[33]*y[20]*y[9], +1*k[383]*y[40]*y[9], -1* k[384]*y[33]*y[20]*y[9], +1*k[385]*y[40]*y[13], -1* k[386]*y[33]*y[15]*y[9], +1*k[389]*y[40]*y[6], -1* k[390]*y[41]*y[9], +1*k[391]*y[40]*y[17], -1* k[392]*y[18]*y[33]*y[9], +1*k[393]*y[40]*y[35], -1* k[394]*y[34]*y[33]*y[9], +1*k[395]*y[40]*y[14], -1* k[396]*y[11]*y[33]*y[9], +1*k[397]*y[40]*y[16], -1* k[398]*y[33]*y[13]*y[9], +1*k[403]*y[11]*y[35], -1* k[404]*y[38]*y[9], +1*k[405]*y[24]*y[10], -1* k[406]*y[9]*y[25], +1*k[419]*y[24]*y[20], -1* k[420]*y[43]*y[9], +1*k[421]*y[24]*y[40], -1* k[422]*y[43]*y[33]*y[9], -1*k[427]*y[25]*y[9], +1* k[428]*y[20]*y[3], -1*k[443]*y[44]*y[9], +1* k[444]*y[2]*y[20]*y[17], -1*k[445]*y[44]*y[9], +1* k[446]*y[18]*y[7], +1*k[449]*y[45]*y[13], -1* k[450]*y[5]*y[15]*y[9], +1*k[451]*y[33]*y[1], -1* k[452]*y[46]*y[9], +1*k[453]*y[41]*y[14], -1* k[454]*y[46]*y[34]*y[9], -1*k[459]*y[7]*y[9]*M, +1* k[460]*y[5]*M, -1*k[465]*y[2]*y[9]*M, +1* k[466]*y[7]*M, -1*k[477]*y[13]*y[9]*M, +1* k[478]*y[15]*M, -1*k[489]*y[10]*y[9]*M, +1* k[490]*y[13]*M, -1*k[505]*y[16]*y[9]*M, +1* k[506]*y[13]*M, -1*k[519]*y[14]*y[9]*M, +1* k[520]*y[11]*M, -1*k[525]*y[23]*y[9]*M, +1* k[526]*y[22]*M, -1*k[533]*y[1]*y[9]*M, +1* k[534]*y[22]*M, -1*k[539]*y[17]*y[9]*M, +1* k[540]*y[18]*M, -1*k[543]*y[19]*y[9]*M, +1* k[544]*y[17]*M, -1*k[549]*y[4]*y[9]*M, +1* k[550]*y[17]*M, -1*k[555]*y[6]*y[9]*M, +1* k[556]*y[19]*M, -1*k[557]*y[6]*y[9]*M, +1* k[558]*y[4]*M, -1*k[559]*y[9]*y[9]*M, +1* k[560]*y[20]*M, -1*k[559]*y[9]*y[9]*M, +1* k[560]*y[20]*M, -1*k[565]*y[35]*y[9]*M, +1* k[566]*y[34]*M, -1*k[569]*y[27]*y[9]*M, +1* k[570]*y[36]*M, +1*k[573]*y[15], -1* k[574]*y[9]*y[13], +1*k[577]*y[15], -1* k[578]*y[9]*y[9]*y[10], +1*k[577]*y[15], -1* k[578]*y[9]*y[9]*y[10], +1*k[579]*y[18], -1* k[580]*y[17]*y[9], +1*k[583]*y[18], -1* k[584]*y[4]*y[9]*y[9], +1*k[583]*y[18], -1* k[584]*y[4]*y[9]*y[9], +1*k[585]*y[18], -1* k[586]*y[6]*y[20]*y[9], +1*k[589]*y[17], -1* k[590]*y[4]*y[9], +1*k[593]*y[20], -1* k[594]*y[9]*y[9], +1*k[593]*y[20], -1* k[594]*y[9]*y[9], +1*k[595]*y[34], -1* k[596]*y[35]*y[9], +1*k[603]*y[33], -1* k[604]*y[34]*y[9]*y[9], +1*k[603]*y[33], -1* k[604]*y[34]*y[9]*y[9], +1*k[605]*y[33], -1* k[606]*y[48]*y[9], +1*k[609]*y[40], -1* k[610]*y[33]*y[9]*y[9], +1*k[609]*y[40], -1* k[610]*y[33]*y[9]*y[9], +1*k[617]*y[13], -1* k[618]*y[9]*y[10], +1*k[619]*y[7], -1* k[620]*y[9]*y[2], +1*k[623]*y[5], -1* k[624]*y[9]*y[7], +1*k[633]*y[45], -1* k[634]*y[49]*y[9], +1*k[645]*y[43], -1* k[646]*y[24]*y[9], +1*k[647]*y[43], -1* k[648]*y[22]*y[9]*y[9], +1*k[647]*y[43], -1* k[648]*y[22]*y[9]*y[9], +1*k[649]*y[11], -1* k[650]*y[9]*y[14], +1*k[655]*y[50], -1* k[656]*y[9]*y[8], +1*k[657]*y[19], -1* k[658]*y[6]*y[9], +1*k[659]*y[6], -1* k[660]*y[29]*y[9]]
    rate_str["O"] = [ +1*k[7]*y[8]*y[9], -1* k[8]*y[10]*y[11], -1*k[17]*y[5]*y[10], +1* k[18]*y[7]*y[13], -1*k[43]*y[7]*y[10], +1* k[44]*y[0]*y[9], -1*k[45]*y[7]*y[10], +1* k[46]*y[2]*y[13], +1*k[91]*y[13]*y[14], -1* k[92]*y[11]*y[10], +1*k[93]*y[13]*y[13], -1* k[94]*y[15]*y[10], -1*k[95]*y[13]*y[10], +1* k[96]*y[27]*y[9], -1*k[125]*y[10]*y[21], +1* k[126]*y[28]*y[9], -1*k[127]*y[10]*y[21], +1* k[128]*y[13]*y[11], -1*k[129]*y[10]*y[14], +1* k[130]*y[2]*y[23], -1*k[131]*y[10]*y[14], +1* k[132]*y[2]*y[1], -1*k[133]*y[10]*y[22], +1* k[134]*y[3]*y[9], -1*k[135]*y[10]*y[22], +1* k[136]*y[13]*y[23], -1*k[137]*y[10]*y[18], +1* k[138]*y[13]*y[17], -1*k[139]*y[10]*y[17], +1* k[140]*y[5]*y[9], -1*k[141]*y[10]*y[19], +1* k[142]*y[2]*y[9]*y[9], -1*k[143]*y[10]*y[19], +1* k[144]*y[2]*y[20], -1*k[145]*y[10]*y[4], +1* k[146]*y[7]*y[9], -1*k[147]*y[10]*y[6], +1* k[148]*y[2]*y[9], -1*k[149]*y[10]*y[6], +1* k[150]*y[13]*y[29], -1*k[151]*y[10]*y[20], +1* k[152]*y[13]*y[9], +1*k[153]*y[16]*y[21], -1* k[154]*y[10]*y[21], +1*k[301]*y[29]*y[27], -1* k[302]*y[2]*y[10], +1*k[303]*y[29]*y[3], -1* k[304]*y[14]*y[10], -1*k[305]*y[36]*y[10], +1* k[306]*y[27]*y[13], +1*k[307]*y[36]*y[9], -1* k[308]*y[15]*y[10], -1*k[317]*y[37]*y[10], +1* k[318]*y[2]*y[2]*y[9], -1*k[323]*y[35]*y[10], +1* k[324]*y[6]*y[2], +1*k[333]*y[27]*y[35], -1* k[334]*y[10]*y[37], +1*k[337]*y[27]*y[14], -1* k[338]*y[8]*y[10], -1*k[339]*y[8]*y[10], +1* k[340]*y[3]*y[2], +1*k[345]*y[3]*y[23], -1* k[346]*y[30]*y[10], +1*k[347]*y[3]*y[1], -1* k[348]*y[30]*y[10], +1*k[349]*y[27]*y[23], -1* k[350]*y[3]*y[10], +1*k[353]*y[35]*y[13], -1* k[354]*y[34]*y[10], -1*k[359]*y[34]*y[10], +1* k[360]*y[2]*y[19], -1*k[365]*y[33]*y[10], +1* k[366]*y[7]*y[17], -1*k[367]*y[33]*y[10], +1* k[368]*y[5]*y[19], -1*k[381]*y[40]*y[10], +1* k[382]*y[33]*y[13]*y[9], +1*k[399]*y[40]*y[16], -1* k[400]*y[40]*y[10], -1*k[405]*y[24]*y[10], +1* k[406]*y[9]*y[25], -1*k[407]*y[24]*y[10], +1* k[408]*y[13]*y[22], -1*k[409]*y[24]*y[10], +1* k[410]*y[20]*y[3], -1*k[425]*y[25]*y[10], +1* k[426]*y[13]*y[3], -1*k[435]*y[43]*y[10], +1* k[436]*y[24]*y[13], -1*k[471]*y[13]*y[10]*M, +1* k[472]*y[36]*M, -1*k[479]*y[10]*y[14]*M, +1* k[480]*y[8]*M, -1*k[481]*y[10]*y[10]*M, +1* k[482]*y[27]*M, -1*k[481]*y[10]*y[10]*M, +1* k[482]*y[27]*M, -1*k[483]*y[10]*y[23]*M, +1* k[484]*y[3]*M, -1*k[485]*y[10]*y[19]*M, +1* k[486]*y[5]*M, -1*k[487]*y[10]*y[6]*M, +1* k[488]*y[7]*M, -1*k[489]*y[10]*y[9]*M, +1* k[490]*y[13]*M, +1*k[507]*y[16]*M, -1* k[508]*y[10]*M, +1*k[577]*y[15], -1* k[578]*y[9]*y[9]*y[10], +1*k[591]*y[2], -1* k[592]*y[29]*y[10], +1*k[597]*y[0], -1* k[598]*y[2]*y[10], +1*k[617]*y[13], -1* k[618]*y[9]*y[10], +1*k[625]*y[27], -1* k[626]*y[10]*y[10], +1*k[625]*y[27], -1* k[626]*y[10]*y[10], +1*k[627]*y[27], -1* k[628]*y[10]*y[16], +1*k[639]*y[36], -1* k[640]*y[10]*y[13], +1*k[651]*y[3], -1* k[652]*y[23]*y[10]]
    rate_str["HCN"] = [ +1*k[7]*y[8]*y[9], -1* k[8]*y[10]*y[11], +1*k[11]*y[5]*y[14], -1* k[12]*y[11]*y[7], +1*k[33]*y[7]*y[21], -1* k[34]*y[5]*y[11], +1*k[39]*y[7]*y[14], -1* k[40]*y[2]*y[11], +1*k[81]*y[15]*y[14], -1* k[82]*y[13]*y[11], -1*k[87]*y[13]*y[11], +1* k[88]*y[26]*y[9], +1*k[91]*y[13]*y[14], -1* k[92]*y[11]*y[10], +1*k[127]*y[10]*y[21], -1* k[128]*y[13]*y[11], +1*k[157]*y[16]*y[21], -1* k[158]*y[13]*y[11], +1*k[175]*y[21]*y[22], -1* k[176]*y[11]*y[24], +1*k[179]*y[21]*y[23], -1* k[180]*y[11]*y[22], +1*k[187]*y[21]*y[6], -1* k[188]*y[11]*y[19], +1*k[189]*y[21]*y[6], -1* k[190]*y[11]*y[4], +1*k[191]*y[21]*y[9], -1* k[192]*y[11]*y[20], +1*k[193]*y[21], -1* k[194]*y[11]*y[9], -1*k[195]*y[11]*y[14], +1* k[196]*y[32]*y[9], -1*k[197]*y[11]*y[1], +1* k[198]*y[30]*y[6], -1*k[199]*y[11]*y[4], +1* k[200]*y[31]*y[9], -1*k[201]*y[11]*y[9], +1* k[202]*y[11]*y[9], +1*k[201]*y[11]*y[9], -1* k[202]*y[11]*y[9], +1*k[203]*y[14]*y[22], -1* k[204]*y[11]*y[23], +1*k[211]*y[14]*y[18], -1* k[212]*y[11]*y[17], +1*k[213]*y[14]*y[17], -1* k[214]*y[11]*y[19], +1*k[215]*y[14]*y[6], -1* k[216]*y[11]*y[29], +1*k[217]*y[14]*y[20], -1* k[218]*y[11]*y[9], +1*k[233]*y[22]*y[6], -1* k[234]*y[11]*y[9], +1*k[239]*y[23]*y[19], -1* k[240]*y[11]*y[9], +1*k[249]*y[1]*y[19], -1* k[250]*y[11]*y[9], +1*k[253]*y[1]*y[4], -1* k[254]*y[11]*y[9], +1*k[319]*y[37]*y[3], -1* k[320]*y[11]*y[0], +1*k[363]*y[34]*y[14], -1* k[364]*y[11]*y[35], +1*k[369]*y[33]*y[23], -1* k[370]*y[11]*y[17], +1*k[377]*y[33]*y[14], -1* k[378]*y[11]*y[34]*y[9], +1*k[395]*y[40]*y[14], -1* k[396]*y[11]*y[33]*y[9], -1*k[403]*y[11]*y[35], +1* k[404]*y[38]*y[9], +1*k[433]*y[14]*y[25], -1* k[434]*y[11]*y[3], +1*k[439]*y[43]*y[14], -1* k[440]*y[11]*y[24], +1*k[441]*y[44]*y[23], -1* k[442]*y[11]*y[20]*y[7], -1*k[491]*y[16]*y[11]*M, +1* k[492]*y[28]*M, -1*k[509]*y[11]*y[6]*M, +1* k[510]*y[31]*M, +1*k[519]*y[14]*y[9]*M, -1* k[520]*y[11]*M, -1*k[649]*y[11], +1* k[650]*y[9]*y[14], -1*k[663]*y[11], +1* k[664]*y[52]]
    rate_str["H2O2"] = [ -1*k[9]*y[12], +1* k[10]*y[13]*y[13], +1*k[469]*y[13]*y[13]*M, -1* k[470]*y[12]*M, -1*k[641]*y[12], +1* k[642]*y[13]*y[13]]
    rate_str["OH"] = [ +1*k[9]*y[12], -1* k[10]*y[13]*y[13], +1*k[9]*y[12], -1* k[10]*y[13]*y[13], -1*k[13]*y[5]*y[13], +1* k[14]*y[15]*y[2]*y[9], -1*k[15]*y[5]*y[13], +1* k[16]*y[15]*y[7], +1*k[17]*y[5]*y[10], -1* k[18]*y[7]*y[13], +1*k[19]*y[5]*y[16], -1* k[20]*y[7]*y[13], -1*k[41]*y[7]*y[13], +1* k[42]*y[2]*y[15], +1*k[45]*y[7]*y[10], -1* k[46]*y[2]*y[13], -1*k[77]*y[2]*y[13], +1* k[78]*y[0]*y[9], +1*k[79]*y[15]*y[16], -1* k[80]*y[13]*y[13], +1*k[79]*y[15]*y[16], -1* k[80]*y[13]*y[13], +1*k[81]*y[15]*y[14], -1* k[82]*y[13]*y[11], -1*k[87]*y[13]*y[11], +1* k[88]*y[26]*y[9], -1*k[89]*y[13]*y[14], +1* k[90]*y[8]*y[9], -1*k[91]*y[13]*y[14], +1* k[92]*y[11]*y[10], -1*k[93]*y[13]*y[13], +1* k[94]*y[15]*y[10], -1*k[93]*y[13]*y[13], +1* k[94]*y[15]*y[10], -1*k[95]*y[13]*y[10], +1* k[96]*y[27]*y[9], -1*k[97]*y[13]*y[16], +1* k[98]*y[27]*y[9], -1*k[99]*y[13]*y[22], +1* k[100]*y[25]*y[9], -1*k[101]*y[13]*y[22], +1* k[102]*y[15]*y[23], -1*k[103]*y[13]*y[23], +1* k[104]*y[3]*y[9], -1*k[105]*y[13]*y[1], +1* k[106]*y[3]*y[9], -1*k[107]*y[13]*y[18], +1* k[108]*y[15]*y[17], -1*k[109]*y[13]*y[17], +1* k[110]*y[15]*y[19], -1*k[111]*y[13]*y[19], +1* k[112]*y[5]*y[9], -1*k[113]*y[13]*y[19], +1* k[114]*y[15]*y[6], -1*k[115]*y[13]*y[4], +1* k[116]*y[5]*y[9], -1*k[117]*y[13]*y[6], +1* k[118]*y[7]*y[9], -1*k[119]*y[13]*y[6], +1* k[120]*y[2]*y[20], -1*k[121]*y[13]*y[6], +1* k[122]*y[2]*y[9]*y[9], -1*k[123]*y[13]*y[20], +1* k[124]*y[15]*y[9], +1*k[127]*y[10]*y[21], -1* k[128]*y[13]*y[11], +1*k[135]*y[10]*y[22], -1* k[136]*y[13]*y[23], +1*k[137]*y[10]*y[18], -1* k[138]*y[13]*y[17], +1*k[149]*y[10]*y[6], -1* k[150]*y[13]*y[29], +1*k[151]*y[10]*y[20], -1* k[152]*y[13]*y[9], +1*k[157]*y[16]*y[21], -1* k[158]*y[13]*y[11], +1*k[161]*y[16]*y[18], -1* k[162]*y[13]*y[17], +1*k[173]*y[16]*y[20], -1* k[174]*y[13]*y[9], +1*k[305]*y[36]*y[10], -1* k[306]*y[27]*y[13], +1*k[309]*y[36]*y[9], -1* k[310]*y[13]*y[13], +1*k[309]*y[36]*y[9], -1* k[310]*y[13]*y[13], -1*k[313]*y[36]*y[13], +1* k[314]*y[15]*y[27], +1*k[329]*y[27]*y[6], -1* k[330]*y[13]*y[2], -1*k[353]*y[35]*y[13], +1* k[354]*y[34]*y[10], -1*k[355]*y[35]*y[13], +1* k[356]*y[2]*y[19], +1*k[357]*y[35]*y[36], -1* k[358]*y[13]*y[37], -1*k[371]*y[33]*y[13], +1* k[372]*y[34]*y[15]*y[9], +1*k[381]*y[40]*y[10], -1* k[382]*y[33]*y[13]*y[9], -1*k[385]*y[40]*y[13], +1* k[386]*y[33]*y[15]*y[9], +1*k[397]*y[40]*y[16], -1* k[398]*y[33]*y[13]*y[9], +1*k[407]*y[24]*y[10], -1* k[408]*y[13]*y[22], -1*k[413]*y[24]*y[13], +1* k[414]*y[15]*y[22], +1*k[425]*y[25]*y[10], -1* k[426]*y[13]*y[3], -1*k[429]*y[25]*y[13], +1* k[430]*y[15]*y[3], +1*k[435]*y[43]*y[10], -1* k[436]*y[24]*y[13], -1*k[437]*y[43]*y[13], +1* k[438]*y[24]*y[15], -1*k[449]*y[45]*y[13], +1* k[450]*y[5]*y[15]*y[9], -1*k[467]*y[13]*y[14]*M, +1* k[468]*y[26]*M, -1*k[469]*y[13]*y[13]*M, +1* k[470]*y[12]*M, -1*k[469]*y[13]*y[13]*M, +1* k[470]*y[12]*M, -1*k[471]*y[13]*y[10]*M, +1* k[472]*y[36]*M, -1*k[473]*y[13]*y[16]*M, +1* k[474]*y[36]*M, -1*k[475]*y[13]*y[17]*M, +1* k[476]*y[45]*M, -1*k[477]*y[13]*y[9]*M, +1* k[478]*y[15]*M, +1*k[489]*y[10]*y[9]*M, -1* k[490]*y[13]*M, +1*k[505]*y[16]*y[9]*M, -1* k[506]*y[13]*M, +1*k[573]*y[15], -1* k[574]*y[9]*y[13], -1*k[617]*y[13], +1* k[618]*y[9]*y[10], +1*k[629]*y[45], -1* k[630]*y[17]*y[13], +1*k[639]*y[36], -1* k[640]*y[10]*y[13], +1*k[641]*y[12], -1* k[642]*y[13]*y[13], +1*k[641]*y[12], -1* k[642]*y[13]*y[13]]
    rate_str["CN"] = [ -1*k[11]*y[5]*y[14], +1* k[12]*y[11]*y[7], -1*k[39]*y[7]*y[14], +1* k[40]*y[2]*y[11], -1*k[81]*y[15]*y[14], +1* k[82]*y[13]*y[11], -1*k[89]*y[13]*y[14], +1* k[90]*y[8]*y[9], -1*k[91]*y[13]*y[14], +1* k[92]*y[11]*y[10], -1*k[129]*y[10]*y[14], +1* k[130]*y[2]*y[23], -1*k[131]*y[10]*y[14], +1* k[132]*y[2]*y[1], -1*k[159]*y[16]*y[14], +1* k[160]*y[2]*y[1], -1*k[195]*y[11]*y[14], +1* k[196]*y[32]*y[9], -1*k[203]*y[14]*y[22], +1* k[204]*y[11]*y[23], -1*k[205]*y[14]*y[22], +1* k[206]*y[6]*y[30], -1*k[207]*y[14]*y[23], +1* k[208]*y[30]*y[29], -1*k[209]*y[14]*y[1], +1* k[210]*y[30]*y[29], -1*k[211]*y[14]*y[18], +1* k[212]*y[11]*y[17], -1*k[213]*y[14]*y[17], +1* k[214]*y[11]*y[19], -1*k[215]*y[14]*y[6], +1* k[216]*y[11]*y[29], -1*k[217]*y[14]*y[20], +1* k[218]*y[11]*y[9], +1*k[241]*y[23]*y[4], -1* k[242]*y[14]*y[9]*y[9], +1*k[243]*y[23]*y[6], -1* k[244]*y[14]*y[9], +1*k[251]*y[1]*y[19], -1* k[252]*y[14]*y[9]*y[9], +1*k[255]*y[1]*y[6], -1* k[256]*y[14]*y[9], +1*k[303]*y[29]*y[3], -1* k[304]*y[14]*y[10], -1*k[337]*y[27]*y[14], +1* k[338]*y[8]*y[10], -1*k[361]*y[34]*y[14], +1* k[362]*y[38]*y[9], -1*k[363]*y[34]*y[14], +1* k[364]*y[11]*y[35], -1*k[375]*y[33]*y[14], +1* k[376]*y[39]*y[9], -1*k[377]*y[33]*y[14], +1* k[378]*y[11]*y[34]*y[9], -1*k[395]*y[40]*y[14], +1* k[396]*y[11]*y[33]*y[9], -1*k[433]*y[14]*y[25], +1* k[434]*y[11]*y[3], -1*k[439]*y[43]*y[14], +1* k[440]*y[11]*y[24], -1*k[453]*y[41]*y[14], +1* k[454]*y[46]*y[34]*y[9], -1*k[467]*y[13]*y[14]*M, +1* k[468]*y[26]*M, -1*k[479]*y[10]*y[14]*M, +1* k[480]*y[8]*M, -1*k[493]*y[16]*y[14]*M, +1* k[494]*y[8]*M, -1*k[511]*y[14]*y[14]*M, +1* k[512]*y[32]*M, -1*k[511]*y[14]*y[14]*M, +1* k[512]*y[32]*M, -1*k[513]*y[14]*y[17]*M, +1* k[514]*y[46]*M, -1*k[515]*y[14]*y[19]*M, +1* k[516]*y[31]*M, -1*k[517]*y[14]*y[4]*M, +1* k[518]*y[31]*M, -1*k[519]*y[14]*y[9]*M, +1* k[520]*y[11]*M, +1*k[649]*y[11], -1* k[650]*y[9]*y[14]]
    rate_str["H2O"] = [ +1*k[13]*y[5]*y[13], -1* k[14]*y[15]*y[2]*y[9], +1*k[15]*y[5]*y[13], -1* k[16]*y[15]*y[7], +1*k[41]*y[7]*y[13], -1* k[42]*y[2]*y[15], -1*k[79]*y[15]*y[16], +1* k[80]*y[13]*y[13], -1*k[81]*y[15]*y[14], +1* k[82]*y[13]*y[11], -1*k[83]*y[15]*y[1], +1* k[84]*y[25]*y[9], -1*k[85]*y[15]*y[6], +1* k[86]*y[5]*y[9], +1*k[93]*y[13]*y[13], -1* k[94]*y[15]*y[10], +1*k[101]*y[13]*y[22], -1* k[102]*y[15]*y[23], +1*k[107]*y[13]*y[18], -1* k[108]*y[15]*y[17], +1*k[109]*y[13]*y[17], -1* k[110]*y[15]*y[19], +1*k[113]*y[13]*y[19], -1* k[114]*y[15]*y[6], +1*k[123]*y[13]*y[20], -1* k[124]*y[15]*y[9], +1*k[307]*y[36]*y[9], -1* k[308]*y[15]*y[10], +1*k[313]*y[36]*y[13], -1* k[314]*y[15]*y[27], +1*k[371]*y[33]*y[13], -1* k[372]*y[34]*y[15]*y[9], +1*k[385]*y[40]*y[13], -1* k[386]*y[33]*y[15]*y[9], +1*k[411]*y[24]*y[3], -1* k[412]*y[30]*y[15], +1*k[413]*y[24]*y[13], -1* k[414]*y[15]*y[22], +1*k[415]*y[24]*y[36], -1* k[416]*y[15]*y[25], +1*k[429]*y[25]*y[13], -1* k[430]*y[15]*y[3], +1*k[437]*y[43]*y[13], -1* k[438]*y[24]*y[15], +1*k[449]*y[45]*y[13], -1* k[450]*y[5]*y[15]*y[9], +1*k[477]*y[13]*y[9]*M, -1* k[478]*y[15]*M, +1*k[503]*y[16]*y[20]*M, -1* k[504]*y[15]*M, -1*k[571]*y[15], +1* k[572]*y[47], -1*k[573]*y[15], +1* k[574]*y[9]*y[13], -1*k[575]*y[15], +1* k[576]*y[20]*y[16], -1*k[577]*y[15], +1* k[578]*y[9]*y[9]*y[10]]
    rate_str["O_1"] = [ -1*k[19]*y[5]*y[16], +1* k[20]*y[7]*y[13], -1*k[47]*y[7]*y[16], +1* k[48]*y[0]*y[9], -1*k[79]*y[15]*y[16], +1* k[80]*y[13]*y[13], -1*k[97]*y[13]*y[16], +1* k[98]*y[27]*y[9], -1*k[153]*y[16]*y[21], +1* k[154]*y[10]*y[21], -1*k[155]*y[16]*y[21], +1* k[156]*y[28]*y[9], -1*k[157]*y[16]*y[21], +1* k[158]*y[13]*y[11], -1*k[159]*y[16]*y[14], +1* k[160]*y[2]*y[1], -1*k[161]*y[16]*y[18], +1* k[162]*y[13]*y[17], -1*k[163]*y[16]*y[17], +1* k[164]*y[5]*y[9], -1*k[165]*y[16]*y[19], +1* k[166]*y[7]*y[9], -1*k[167]*y[16]*y[4], +1* k[168]*y[2]*y[9]*y[9], -1*k[169]*y[16]*y[4], +1* k[170]*y[2]*y[20], -1*k[171]*y[16]*y[6], +1* k[172]*y[2]*y[9], -1*k[173]*y[16]*y[20], +1* k[174]*y[13]*y[9], -1*k[397]*y[40]*y[16], +1* k[398]*y[33]*y[13]*y[9], -1*k[399]*y[40]*y[16], +1* k[400]*y[40]*y[10], -1*k[461]*y[2]*y[16]*M, +1* k[462]*y[0]*M, -1*k[473]*y[13]*y[16]*M, +1* k[474]*y[36]*M, -1*k[491]*y[16]*y[11]*M, +1* k[492]*y[28]*M, -1*k[493]*y[16]*y[14]*M, +1* k[494]*y[8]*M, -1*k[495]*y[16]*y[16]*M, +1* k[496]*y[27]*M, -1*k[495]*y[16]*y[16]*M, +1* k[496]*y[27]*M, -1*k[497]*y[16]*y[18]*M, +1* k[498]*y[45]*M, -1*k[499]*y[16]*y[4]*M, +1* k[500]*y[5]*M, -1*k[501]*y[16]*y[6]*M, +1* k[502]*y[7]*M, -1*k[503]*y[16]*y[20]*M, +1* k[504]*y[15]*M, -1*k[505]*y[16]*y[9]*M, +1* k[506]*y[13]*M, -1*k[507]*y[16]*M, +1* k[508]*y[10]*M, +1*k[575]*y[15], -1* k[576]*y[20]*y[16], +1*k[599]*y[0], -1* k[600]*y[2]*y[16], +1*k[627]*y[27], -1* k[628]*y[10]*y[16]]
    rate_str["CH3"] = [ -1*k[21]*y[5]*y[17], +1* k[22]*y[7]*y[18], +1*k[23]*y[5]*y[19], -1* k[24]*y[7]*y[17], +1*k[25]*y[5]*y[4], -1* k[26]*y[7]*y[17], +1*k[27]*y[5]*y[6], -1* k[28]*y[2]*y[17], -1*k[61]*y[7]*y[17], +1* k[62]*y[2]*y[18], +1*k[63]*y[7]*y[19], -1* k[64]*y[2]*y[17], +1*k[65]*y[7]*y[4], -1* k[66]*y[2]*y[17], +1*k[107]*y[13]*y[18], -1* k[108]*y[15]*y[17], -1*k[109]*y[13]*y[17], +1* k[110]*y[15]*y[19], +1*k[137]*y[10]*y[18], -1* k[138]*y[13]*y[17], -1*k[139]*y[10]*y[17], +1* k[140]*y[5]*y[9], +1*k[161]*y[16]*y[18], -1* k[162]*y[13]*y[17], -1*k[163]*y[16]*y[17], +1* k[164]*y[5]*y[9], +1*k[211]*y[14]*y[18], -1* k[212]*y[11]*y[17], -1*k[213]*y[14]*y[17], +1* k[214]*y[11]*y[19], -1*k[227]*y[22]*y[17], +1* k[228]*y[21]*y[20], -1*k[237]*y[23]*y[17], +1* k[238]*y[21]*y[9], -1*k[247]*y[1]*y[17], +1* k[248]*y[21]*y[9], +1*k[259]*y[18]*y[4], -1* k[260]*y[17]*y[17], +1*k[259]*y[18]*y[4], -1* k[260]*y[17]*y[17], +1*k[263]*y[18]*y[9], -1* k[264]*y[17]*y[20], -1*k[265]*y[17]*y[17], +1* k[266]*y[18]*y[19], -1*k[265]*y[17]*y[17], +1* k[266]*y[18]*y[19], -1*k[267]*y[17]*y[19], +1* k[268]*y[33]*y[9], -1*k[269]*y[17]*y[4], +1* k[270]*y[33]*y[9], -1*k[271]*y[17]*y[6], +1* k[272]*y[33], -1*k[273]*y[17]*y[6], +1* k[274]*y[34]*y[9]*y[9], -1*k[275]*y[17]*y[9], +1* k[276]*y[19]*y[20], +1*k[291]*y[4]*y[20], -1* k[292]*y[17]*y[9], +1*k[325]*y[35]*y[18], -1* k[326]*y[34]*y[17], +1*k[365]*y[33]*y[10], -1* k[366]*y[7]*y[17], +1*k[369]*y[33]*y[23], -1* k[370]*y[11]*y[17], -1*k[373]*y[33]*y[17], +1* k[374]*y[34]*y[18]*y[9], +1*k[379]*y[40]*y[19], -1* k[380]*y[33]*y[17]*y[9], +1*k[387]*y[40]*y[6], -1* k[388]*y[33]*y[17], -1*k[391]*y[40]*y[17], +1* k[392]*y[18]*y[33]*y[9], +1*k[423]*y[24]*y[18], -1* k[424]*y[43]*y[17], +1*k[443]*y[44]*y[9], -1* k[444]*y[2]*y[20]*y[17], +1*k[447]*y[45]*y[23], -1* k[448]*y[17]*y[25], -1*k[457]*y[7]*y[17]*M, +1* k[458]*y[44]*M, -1*k[475]*y[13]*y[17]*M, +1* k[476]*y[45]*M, -1*k[513]*y[14]*y[17]*M, +1* k[514]*y[46]*M, -1*k[537]*y[17]*y[17]*M, +1* k[538]*y[40]*M, -1*k[537]*y[17]*y[17]*M, +1* k[538]*y[40]*M, -1*k[539]*y[17]*y[9]*M, +1* k[540]*y[18]*M, +1*k[543]*y[19]*y[9]*M, -1* k[544]*y[17]*M, +1*k[549]*y[4]*y[9]*M, -1* k[550]*y[17]*M, +1*k[553]*y[6]*y[20]*M, -1* k[554]*y[17]*M, +1*k[579]*y[18], -1* k[580]*y[17]*y[9], -1*k[587]*y[17], +1* k[588]*y[6]*y[20], -1*k[589]*y[17], +1* k[590]*y[4]*y[9], +1*k[615]*y[40], -1* k[616]*y[17]*y[17], +1*k[615]*y[40], -1* k[616]*y[17]*y[17], +1*k[629]*y[45], -1* k[630]*y[17]*y[13], +1*k[637]*y[44], -1* k[638]*y[17]*y[7]]
    rate_str["CH4"] = [ +1*k[21]*y[5]*y[17], -1* k[22]*y[7]*y[18], +1*k[61]*y[7]*y[17], -1* k[62]*y[2]*y[18], -1*k[107]*y[13]*y[18], +1* k[108]*y[15]*y[17], -1*k[137]*y[10]*y[18], +1* k[138]*y[13]*y[17], -1*k[161]*y[16]*y[18], +1* k[162]*y[13]*y[17], -1*k[211]*y[14]*y[18], +1* k[212]*y[11]*y[17], -1*k[245]*y[1]*y[18], +1* k[246]*y[21]*y[20], -1*k[259]*y[18]*y[4], +1* k[260]*y[17]*y[17], -1*k[261]*y[18]*y[6], +1* k[262]*y[33]*y[9], -1*k[263]*y[18]*y[9], +1* k[264]*y[17]*y[20], +1*k[265]*y[17]*y[17], -1* k[266]*y[18]*y[19], -1*k[325]*y[35]*y[18], +1* k[326]*y[34]*y[17], +1*k[373]*y[33]*y[17], -1* k[374]*y[34]*y[18]*y[9], +1*k[391]*y[40]*y[17], -1* k[392]*y[18]*y[33]*y[9], -1*k[423]*y[24]*y[18], +1* k[424]*y[43]*y[17], +1*k[445]*y[44]*y[9], -1* k[446]*y[18]*y[7], -1*k[497]*y[16]*y[18]*M, +1* k[498]*y[45]*M, -1*k[535]*y[18]*y[4]*M, +1* k[536]*y[40]*M, +1*k[539]*y[17]*y[9]*M, -1* k[540]*y[18]*M, +1*k[547]*y[4]*y[20]*M, -1* k[548]*y[18]*M, -1*k[579]*y[18], +1* k[580]*y[17]*y[9], -1*k[581]*y[18], +1* k[582]*y[4]*y[20], -1*k[583]*y[18], +1* k[584]*y[4]*y[9]*y[9], -1*k[585]*y[18], +1* k[586]*y[6]*y[20]*y[9], +1*k[613]*y[40], -1* k[614]*y[18]*y[4], +1*k[635]*y[44], -1* k[636]*y[18]*y[2]]
    rate_str["CH2"] = [ -1*k[23]*y[5]*y[19], +1* k[24]*y[7]*y[17], +1*k[29]*y[5]*y[6], -1* k[30]*y[7]*y[19], -1*k[63]*y[7]*y[19], +1* k[64]*y[2]*y[17], +1*k[67]*y[7]*y[6], -1* k[68]*y[2]*y[19], +1*k[109]*y[13]*y[17], -1* k[110]*y[15]*y[19], -1*k[111]*y[13]*y[19], +1* k[112]*y[5]*y[9], -1*k[113]*y[13]*y[19], +1* k[114]*y[15]*y[6], -1*k[141]*y[10]*y[19], +1* k[142]*y[2]*y[9]*y[9], -1*k[143]*y[10]*y[19], +1* k[144]*y[2]*y[20], -1*k[165]*y[16]*y[19], +1* k[166]*y[7]*y[9], +1*k[177]*y[21]*y[23], -1* k[178]*y[30]*y[19], +1*k[181]*y[21]*y[1], -1* k[182]*y[30]*y[19], +1*k[187]*y[21]*y[6], -1* k[188]*y[11]*y[19], +1*k[213]*y[14]*y[17], -1* k[214]*y[11]*y[19], -1*k[229]*y[22]*y[19], +1* k[230]*y[21]*y[9], -1*k[239]*y[23]*y[19], +1* k[240]*y[11]*y[9], -1*k[249]*y[1]*y[19], +1* k[250]*y[11]*y[9], -1*k[251]*y[1]*y[19], +1* k[252]*y[14]*y[9]*y[9], +1*k[265]*y[17]*y[17], -1* k[266]*y[18]*y[19], -1*k[267]*y[17]*y[19], +1* k[268]*y[33]*y[9], +1*k[275]*y[17]*y[9], -1* k[276]*y[19]*y[20], -1*k[277]*y[19]*y[19], +1* k[278]*y[34]*y[20], -1*k[277]*y[19]*y[19], +1* k[278]*y[34]*y[20], -1*k[279]*y[19]*y[4], +1* k[280]*y[34]*y[9]*y[9], -1*k[281]*y[19]*y[6], +1* k[282]*y[34]*y[9], -1*k[283]*y[19]*y[6], +1* k[284]*y[35]*y[9]*y[9], -1*k[285]*y[19]*y[9], +1* k[286]*y[6]*y[20], +1*k[295]*y[4]*y[9], -1* k[296]*y[19]*y[9], +1*k[315]*y[37]*y[9], -1* k[316]*y[2]*y[19], +1*k[355]*y[35]*y[13], -1* k[356]*y[2]*y[19], +1*k[359]*y[34]*y[10], -1* k[360]*y[2]*y[19], +1*k[367]*y[33]*y[10], -1* k[368]*y[5]*y[19], -1*k[379]*y[40]*y[19], +1* k[380]*y[33]*y[17]*y[9], -1*k[485]*y[10]*y[19]*M, +1* k[486]*y[5]*M, -1*k[515]*y[14]*y[19]*M, +1* k[516]*y[31]*M, -1*k[521]*y[23]*y[19]*M, +1* k[522]*y[21]*M, -1*k[527]*y[1]*y[19]*M, +1* k[528]*y[21]*M, -1*k[541]*y[19]*y[19]*M, +1* k[542]*y[33]*M, -1*k[541]*y[19]*y[19]*M, +1* k[542]*y[33]*M, -1*k[543]*y[19]*y[9]*M, +1* k[544]*y[17]*M, +1*k[555]*y[6]*y[9]*M, -1* k[556]*y[19]*M, +1*k[563]*y[4]*M, -1* k[564]*y[19]*M, +1*k[567]*y[29]*y[20]*M, -1* k[568]*y[19]*M, -1*k[657]*y[19], +1* k[658]*y[6]*y[9]]
    rate_str["H2"] = [ +1*k[31]*y[5]*y[9], -1* k[32]*y[7]*y[20], +1*k[37]*y[7]*y[7], -1* k[38]*y[2]*y[2]*y[20], +1*k[71]*y[7]*y[9], -1* k[72]*y[2]*y[20], +1*k[119]*y[13]*y[6], -1* k[120]*y[2]*y[20], -1*k[123]*y[13]*y[20], +1* k[124]*y[15]*y[9], +1*k[143]*y[10]*y[19], -1* k[144]*y[2]*y[20], -1*k[151]*y[10]*y[20], +1* k[152]*y[13]*y[9], +1*k[169]*y[16]*y[4], -1* k[170]*y[2]*y[20], -1*k[173]*y[16]*y[20], +1* k[174]*y[13]*y[9], +1*k[191]*y[21]*y[9], -1* k[192]*y[11]*y[20], -1*k[217]*y[14]*y[20], +1* k[218]*y[11]*y[9], +1*k[227]*y[22]*y[17], -1* k[228]*y[21]*y[20], +1*k[235]*y[22]*y[9], -1* k[236]*y[20]*y[23], +1*k[245]*y[1]*y[18], -1* k[246]*y[21]*y[20], -1*k[257]*y[1]*y[20], +1* k[258]*y[22]*y[9], +1*k[263]*y[18]*y[9], -1* k[264]*y[17]*y[20], +1*k[275]*y[17]*y[9], -1* k[276]*y[19]*y[20], +1*k[277]*y[19]*y[19], -1* k[278]*y[34]*y[20], +1*k[285]*y[19]*y[9], -1* k[286]*y[6]*y[20], +1*k[287]*y[4]*y[4], -1* k[288]*y[34]*y[20], -1*k[291]*y[4]*y[20], +1* k[292]*y[17]*y[9], +1*k[293]*y[4]*y[9], -1* k[294]*y[6]*y[20], +1*k[299]*y[6]*y[9], -1* k[300]*y[29]*y[20], +1*k[311]*y[36]*y[9], -1* k[312]*y[27]*y[20], -1*k[351]*y[35]*y[20], +1* k[352]*y[34]*y[9], +1*k[383]*y[40]*y[9], -1* k[384]*y[33]*y[20]*y[9], +1*k[409]*y[24]*y[10], -1* k[410]*y[20]*y[3], -1*k[419]*y[24]*y[20], +1* k[420]*y[43]*y[9], +1*k[427]*y[25]*y[9], -1* k[428]*y[20]*y[3], +1*k[441]*y[44]*y[23], -1* k[442]*y[11]*y[20]*y[7], +1*k[443]*y[44]*y[9], -1* k[444]*y[2]*y[20]*y[17], -1*k[503]*y[16]*y[20]*M, +1* k[504]*y[15]*M, -1*k[547]*y[4]*y[20]*M, +1* k[548]*y[18]*M, -1*k[553]*y[6]*y[20]*M, +1* k[554]*y[17]*M, +1*k[559]*y[9]*y[9]*M, -1* k[560]*y[20]*M, -1*k[567]*y[29]*y[20]*M, +1* k[568]*y[19]*M, +1*k[575]*y[15], -1* k[576]*y[20]*y[16], +1*k[581]*y[18], -1* k[582]*y[4]*y[20], +1*k[585]*y[18], -1* k[586]*y[6]*y[20]*y[9], +1*k[587]*y[17], -1* k[588]*y[6]*y[20], -1*k[593]*y[20], +1* k[594]*y[9]*y[9], +1*k[601]*y[33], -1* k[602]*y[34]*y[20], +1*k[607]*y[40], -1* k[608]*y[33]*y[20], +1*k[611]*y[40], -1* k[612]*y[34]*y[20]*y[20], +1*k[611]*y[40], -1* k[612]*y[34]*y[20]*y[20], +1*k[621]*y[5], -1* k[622]*y[20]*y[2], +1*k[631]*y[45], -1* k[632]*y[5]*y[20]]
    rate_str["H2CN"] = [ -1*k[33]*y[7]*y[21], +1* k[34]*y[5]*y[11], -1*k[125]*y[10]*y[21], +1* k[126]*y[28]*y[9], -1*k[127]*y[10]*y[21], +1* k[128]*y[13]*y[11], -1*k[153]*y[16]*y[21], +1* k[154]*y[10]*y[21], +1*k[153]*y[16]*y[21], -1* k[154]*y[10]*y[21], -1*k[155]*y[16]*y[21], +1* k[156]*y[28]*y[9], -1*k[157]*y[16]*y[21], +1* k[158]*y[13]*y[11], -1*k[175]*y[21]*y[22], +1* k[176]*y[11]*y[24], -1*k[177]*y[21]*y[23], +1* k[178]*y[30]*y[19], -1*k[179]*y[21]*y[23], +1* k[180]*y[11]*y[22], -1*k[181]*y[21]*y[1], +1* k[182]*y[30]*y[19], -1*k[183]*y[21]*y[1], +1* k[184]*y[30]*y[4], -1*k[185]*y[21]*y[6], +1* k[186]*y[31]*y[9], -1*k[187]*y[21]*y[6], +1* k[188]*y[11]*y[19], -1*k[189]*y[21]*y[6], +1* k[190]*y[11]*y[4], -1*k[191]*y[21]*y[9], +1* k[192]*y[11]*y[20], -1*k[193]*y[21], +1* k[194]*y[11]*y[9], +1*k[227]*y[22]*y[17], -1* k[228]*y[21]*y[20], +1*k[229]*y[22]*y[19], -1* k[230]*y[21]*y[9], +1*k[231]*y[22]*y[4], -1* k[232]*y[21]*y[9], +1*k[237]*y[23]*y[17], -1* k[238]*y[21]*y[9], +1*k[245]*y[1]*y[18], -1* k[246]*y[21]*y[20], +1*k[247]*y[1]*y[17], -1* k[248]*y[21]*y[9], +1*k[521]*y[23]*y[19]*M, -1* k[522]*y[21]*M, +1*k[527]*y[1]*y[19]*M, -1* k[528]*y[21]*M, +1*k[529]*y[1]*y[4]*M, -1* k[530]*y[21]*M]
    rate_str["NH"] = [ -1*k[49]*y[7]*y[22], +1* k[50]*y[5]*y[23], -1*k[51]*y[7]*y[22], +1* k[52]*y[2]*y[24], +1*k[55]*y[7]*y[23], -1* k[56]*y[2]*y[22], +1*k[59]*y[7]*y[1], -1* k[60]*y[2]*y[22], -1*k[99]*y[13]*y[22], +1* k[100]*y[25]*y[9], -1*k[101]*y[13]*y[22], +1* k[102]*y[15]*y[23], -1*k[133]*y[10]*y[22], +1* k[134]*y[3]*y[9], -1*k[135]*y[10]*y[22], +1* k[136]*y[13]*y[23], -1*k[175]*y[21]*y[22], +1* k[176]*y[11]*y[24], +1*k[179]*y[21]*y[23], -1* k[180]*y[11]*y[22], -1*k[203]*y[14]*y[22], +1* k[204]*y[11]*y[23], -1*k[205]*y[14]*y[22], +1* k[206]*y[6]*y[30], -1*k[219]*y[22]*y[22], +1* k[220]*y[30]*y[9]*y[9], -1*k[219]*y[22]*y[22], +1* k[220]*y[30]*y[9]*y[9], -1*k[221]*y[22]*y[22], +1* k[222]*y[24]*y[23], -1*k[221]*y[22]*y[22], +1* k[222]*y[24]*y[23], -1*k[223]*y[22]*y[23], +1* k[224]*y[30]*y[9], -1*k[225]*y[22]*y[1], +1* k[226]*y[30]*y[9], -1*k[227]*y[22]*y[17], +1* k[228]*y[21]*y[20], -1*k[229]*y[22]*y[19], +1* k[230]*y[21]*y[9], -1*k[231]*y[22]*y[4], +1* k[232]*y[21]*y[9], -1*k[233]*y[22]*y[6], +1* k[234]*y[11]*y[9], -1*k[235]*y[22]*y[9], +1* k[236]*y[20]*y[23], +1*k[257]*y[1]*y[20], -1* k[258]*y[22]*y[9], +1*k[341]*y[8]*y[9], -1* k[342]*y[22]*y[2], +1*k[407]*y[24]*y[10], -1* k[408]*y[13]*y[22], +1*k[413]*y[24]*y[13], -1* k[414]*y[15]*y[22], +1*k[525]*y[23]*y[9]*M, -1* k[526]*y[22]*M, +1*k[533]*y[1]*y[9]*M, -1* k[534]*y[22]*M, +1*k[647]*y[43], -1* k[648]*y[22]*y[9]*y[9], +1*k[653]*y[50], -1* k[654]*y[22]*y[2]]
    rate_str["N"] = [ +1*k[49]*y[7]*y[22], -1* k[50]*y[5]*y[23], -1*k[53]*y[7]*y[23], +1* k[54]*y[8]*y[9], -1*k[55]*y[7]*y[23], +1* k[56]*y[2]*y[22], +1*k[101]*y[13]*y[22], -1* k[102]*y[15]*y[23], -1*k[103]*y[13]*y[23], +1* k[104]*y[3]*y[9], +1*k[129]*y[10]*y[14], -1* k[130]*y[2]*y[23], +1*k[135]*y[10]*y[22], -1* k[136]*y[13]*y[23], -1*k[177]*y[21]*y[23], +1* k[178]*y[30]*y[19], -1*k[179]*y[21]*y[23], +1* k[180]*y[11]*y[22], +1*k[203]*y[14]*y[22], -1* k[204]*y[11]*y[23], -1*k[207]*y[14]*y[23], +1* k[208]*y[30]*y[29], +1*k[221]*y[22]*y[22], -1* k[222]*y[24]*y[23], -1*k[223]*y[22]*y[23], +1* k[224]*y[30]*y[9], +1*k[235]*y[22]*y[9], -1* k[236]*y[20]*y[23], -1*k[237]*y[23]*y[17], +1* k[238]*y[21]*y[9], -1*k[239]*y[23]*y[19], +1* k[240]*y[11]*y[9], -1*k[241]*y[23]*y[4], +1* k[242]*y[14]*y[9]*y[9], -1*k[243]*y[23]*y[6], +1* k[244]*y[14]*y[9], -1*k[345]*y[3]*y[23], +1* k[346]*y[30]*y[10], -1*k[349]*y[27]*y[23], +1* k[350]*y[3]*y[10], -1*k[369]*y[33]*y[23], +1* k[370]*y[11]*y[17], -1*k[441]*y[44]*y[23], +1* k[442]*y[11]*y[20]*y[7], -1*k[447]*y[45]*y[23], +1* k[448]*y[17]*y[25], -1*k[483]*y[10]*y[23]*M, +1* k[484]*y[3]*M, -1*k[521]*y[23]*y[19]*M, +1* k[522]*y[21]*M, -1*k[523]*y[23]*y[23]*M, +1* k[524]*y[30]*M, -1*k[523]*y[23]*y[23]*M, +1* k[524]*y[30]*M, -1*k[525]*y[23]*y[9]*M, +1* k[526]*y[22]*M, +1*k[561]*y[1]*M, -1* k[562]*y[23]*M, +1*k[643]*y[30], -1* k[644]*y[23]*y[23], +1*k[643]*y[30], -1* k[644]*y[23]*y[23], +1*k[651]*y[3], -1* k[652]*y[23]*y[10]]
    rate_str["NH2"] = [ +1*k[51]*y[7]*y[22], -1* k[52]*y[2]*y[24], +1*k[175]*y[21]*y[22], -1* k[176]*y[11]*y[24], +1*k[221]*y[22]*y[22], -1* k[222]*y[24]*y[23], -1*k[405]*y[24]*y[10], +1* k[406]*y[9]*y[25], -1*k[407]*y[24]*y[10], +1* k[408]*y[13]*y[22], -1*k[409]*y[24]*y[10], +1* k[410]*y[20]*y[3], -1*k[411]*y[24]*y[3], +1* k[412]*y[30]*y[15], -1*k[413]*y[24]*y[13], +1* k[414]*y[15]*y[22], -1*k[415]*y[24]*y[36], +1* k[416]*y[15]*y[25], -1*k[417]*y[24]*y[36], +1* k[418]*y[43]*y[27], -1*k[419]*y[24]*y[20], +1* k[420]*y[43]*y[9], -1*k[421]*y[24]*y[40], +1* k[422]*y[43]*y[33]*y[9], -1*k[423]*y[24]*y[18], +1* k[424]*y[43]*y[17], +1*k[435]*y[43]*y[10], -1* k[436]*y[24]*y[13], +1*k[437]*y[43]*y[13], -1* k[438]*y[24]*y[15], +1*k[439]*y[43]*y[14], -1* k[440]*y[11]*y[24], +1*k[645]*y[43], -1* k[646]*y[24]*y[9]]
    rate_str["HNO"] = [ +1*k[83]*y[15]*y[1], -1* k[84]*y[25]*y[9], +1*k[99]*y[13]*y[22], -1* k[100]*y[25]*y[9], +1*k[405]*y[24]*y[10], -1* k[406]*y[9]*y[25], +1*k[415]*y[24]*y[36], -1* k[416]*y[15]*y[25], -1*k[425]*y[25]*y[10], +1* k[426]*y[13]*y[3], -1*k[427]*y[25]*y[9], +1* k[428]*y[20]*y[3], -1*k[429]*y[25]*y[13], +1* k[430]*y[15]*y[3], -1*k[431]*y[25]*y[7], +1* k[432]*y[5]*y[3], -1*k[433]*y[14]*y[25], +1* k[434]*y[11]*y[3], +1*k[447]*y[45]*y[23], -1* k[448]*y[17]*y[25]]
    rate_str["HOCN"] = [ +1*k[87]*y[13]*y[11], -1* k[88]*y[26]*y[9], +1*k[467]*y[13]*y[14]*M, -1* k[468]*y[26]*M]
    rate_str["O2"] = [ +1*k[95]*y[13]*y[10], -1* k[96]*y[27]*y[9], +1*k[97]*y[13]*y[16], -1* k[98]*y[27]*y[9], -1*k[301]*y[29]*y[27], +1* k[302]*y[2]*y[10], +1*k[305]*y[36]*y[10], -1* k[306]*y[27]*y[13], +1*k[311]*y[36]*y[9], -1* k[312]*y[27]*y[20], +1*k[313]*y[36]*y[13], -1* k[314]*y[15]*y[27], -1*k[327]*y[27]*y[8], +1* k[328]*y[0]*y[3], -1*k[329]*y[27]*y[6], +1* k[330]*y[13]*y[2], -1*k[331]*y[27]*y[7], +1* k[332]*y[2]*y[36], -1*k[333]*y[27]*y[35], +1* k[334]*y[10]*y[37], -1*k[335]*y[27]*y[35], +1* k[336]*y[2]*y[7], -1*k[337]*y[27]*y[14], +1* k[338]*y[8]*y[10], -1*k[349]*y[27]*y[23], +1* k[350]*y[3]*y[10], +1*k[417]*y[24]*y[36], -1* k[418]*y[43]*y[27], +1*k[481]*y[10]*y[10]*M, -1* k[482]*y[27]*M, +1*k[495]*y[16]*y[16]*M, -1* k[496]*y[27]*M, -1*k[569]*y[27]*y[9]*M, +1* k[570]*y[36]*M, -1*k[625]*y[27], +1* k[626]*y[10]*y[10], -1*k[627]*y[27], +1* k[628]*y[10]*y[16]]
    rate_str["HCNO"] = [ +1*k[125]*y[10]*y[21], -1* k[126]*y[28]*y[9], +1*k[155]*y[16]*y[21], -1* k[156]*y[28]*y[9], +1*k[321]*y[37]*y[3], -1* k[322]*y[28]*y[2], +1*k[455]*y[7]*y[1]*M, -1* k[456]*y[28]*M, +1*k[491]*y[16]*y[11]*M, -1* k[492]*y[28]*M]
    rate_str["C"] = [ +1*k[149]*y[10]*y[6], -1* k[150]*y[13]*y[29], +1*k[207]*y[14]*y[23], -1* k[208]*y[30]*y[29], +1*k[209]*y[14]*y[1], -1* k[210]*y[30]*y[29], +1*k[215]*y[14]*y[6], -1* k[216]*y[11]*y[29], +1*k[299]*y[6]*y[9], -1* k[300]*y[29]*y[20], -1*k[301]*y[29]*y[27], +1* k[302]*y[2]*y[10], -1*k[303]*y[29]*y[3], +1* k[304]*y[14]*y[10], -1*k[567]*y[29]*y[20]*M, +1* k[568]*y[19]*M, +1*k[591]*y[2], -1* k[592]*y[29]*y[10], +1*k[659]*y[6], -1* k[660]*y[29]*y[9]]
    rate_str["N2"] = [ +1*k[177]*y[21]*y[23], -1* k[178]*y[30]*y[19], +1*k[181]*y[21]*y[1], -1* k[182]*y[30]*y[19], +1*k[183]*y[21]*y[1], -1* k[184]*y[30]*y[4], +1*k[197]*y[11]*y[1], -1* k[198]*y[30]*y[6], +1*k[205]*y[14]*y[22], -1* k[206]*y[6]*y[30], +1*k[207]*y[14]*y[23], -1* k[208]*y[30]*y[29], +1*k[209]*y[14]*y[1], -1* k[210]*y[30]*y[29], +1*k[219]*y[22]*y[22], -1* k[220]*y[30]*y[9]*y[9], +1*k[223]*y[22]*y[23], -1* k[224]*y[30]*y[9], +1*k[225]*y[22]*y[1], -1* k[226]*y[30]*y[9], +1*k[343]*y[8]*y[3], -1* k[344]*y[30]*y[0], +1*k[345]*y[3]*y[23], -1* k[346]*y[30]*y[10], +1*k[347]*y[3]*y[1], -1* k[348]*y[30]*y[10], +1*k[411]*y[24]*y[3], -1* k[412]*y[30]*y[15], +1*k[523]*y[23]*y[23]*M, -1* k[524]*y[30]*M, +1*k[531]*y[1]*y[1]*M, -1* k[532]*y[30]*M, -1*k[643]*y[30], +1* k[644]*y[23]*y[23]]
    rate_str["CH2CN"] = [ +1*k[185]*y[21]*y[6], -1* k[186]*y[31]*y[9], +1*k[199]*y[11]*y[4], -1* k[200]*y[31]*y[9], +1*k[509]*y[11]*y[6]*M, -1* k[510]*y[31]*M, +1*k[515]*y[14]*y[19]*M, -1* k[516]*y[31]*M, +1*k[517]*y[14]*y[4]*M, -1* k[518]*y[31]*M]
    rate_str["NCCN"] = [ +1*k[195]*y[11]*y[14], -1* k[196]*y[32]*y[9], +1*k[511]*y[14]*y[14]*M, -1* k[512]*y[32]*M]
    rate_str["C2H4"] = [ +1*k[261]*y[18]*y[6], -1* k[262]*y[33]*y[9], +1*k[267]*y[17]*y[19], -1* k[268]*y[33]*y[9], +1*k[269]*y[17]*y[4], -1* k[270]*y[33]*y[9], +1*k[271]*y[17]*y[6], -1* k[272]*y[33], -1*k[365]*y[33]*y[10], +1* k[366]*y[7]*y[17], -1*k[367]*y[33]*y[10], +1* k[368]*y[5]*y[19], -1*k[369]*y[33]*y[23], +1* k[370]*y[11]*y[17], -1*k[371]*y[33]*y[13], +1* k[372]*y[34]*y[15]*y[9], -1*k[373]*y[33]*y[17], +1* k[374]*y[34]*y[18]*y[9], -1*k[375]*y[33]*y[14], +1* k[376]*y[39]*y[9], -1*k[377]*y[33]*y[14], +1* k[378]*y[11]*y[34]*y[9], +1*k[379]*y[40]*y[19], -1* k[380]*y[33]*y[17]*y[9], +1*k[381]*y[40]*y[10], -1* k[382]*y[33]*y[13]*y[9], +1*k[383]*y[40]*y[9], -1* k[384]*y[33]*y[20]*y[9], +1*k[385]*y[40]*y[13], -1* k[386]*y[33]*y[15]*y[9], +1*k[387]*y[40]*y[6], -1* k[388]*y[33]*y[17], +1*k[391]*y[40]*y[17], -1* k[392]*y[18]*y[33]*y[9], +1*k[393]*y[40]*y[35], -1* k[394]*y[34]*y[33]*y[9], +1*k[395]*y[40]*y[14], -1* k[396]*y[11]*y[33]*y[9], +1*k[397]*y[40]*y[16], -1* k[398]*y[33]*y[13]*y[9], +1*k[421]*y[24]*y[40], -1* k[422]*y[43]*y[33]*y[9], -1*k[451]*y[33]*y[1], +1* k[452]*y[46]*y[9], +1*k[541]*y[19]*y[19]*M, -1* k[542]*y[33]*M, +1*k[545]*y[4]*y[4]*M, -1* k[546]*y[33]*M, -1*k[601]*y[33], +1* k[602]*y[34]*y[20], -1*k[603]*y[33], +1* k[604]*y[34]*y[9]*y[9], -1*k[605]*y[33], +1* k[606]*y[48]*y[9], +1*k[607]*y[40], -1* k[608]*y[33]*y[20], +1*k[609]*y[40], -1* k[610]*y[33]*y[9]*y[9]]
    rate_str["C2H2"] = [ +1*k[273]*y[17]*y[6], -1* k[274]*y[34]*y[9]*y[9], +1*k[277]*y[19]*y[19], -1* k[278]*y[34]*y[20], +1*k[279]*y[19]*y[4], -1* k[280]*y[34]*y[9]*y[9], +1*k[281]*y[19]*y[6], -1* k[282]*y[34]*y[9], +1*k[287]*y[4]*y[4], -1* k[288]*y[34]*y[20], +1*k[289]*y[4]*y[6], -1* k[290]*y[34]*y[9], +1*k[325]*y[35]*y[18], -1* k[326]*y[34]*y[17], +1*k[351]*y[35]*y[20], -1* k[352]*y[34]*y[9], +1*k[353]*y[35]*y[13], -1* k[354]*y[34]*y[10], -1*k[359]*y[34]*y[10], +1* k[360]*y[2]*y[19], -1*k[361]*y[34]*y[14], +1* k[362]*y[38]*y[9], -1*k[363]*y[34]*y[14], +1* k[364]*y[11]*y[35], +1*k[371]*y[33]*y[13], -1* k[372]*y[34]*y[15]*y[9], +1*k[373]*y[33]*y[17], -1* k[374]*y[34]*y[18]*y[9], +1*k[377]*y[33]*y[14], -1* k[378]*y[11]*y[34]*y[9], +1*k[393]*y[40]*y[35], -1* k[394]*y[34]*y[33]*y[9], +1*k[401]*y[41]*y[35], -1* k[402]*y[42]*y[34], +1*k[453]*y[41]*y[14], -1* k[454]*y[46]*y[34]*y[9], +1*k[551]*y[6]*y[6]*M, -1* k[552]*y[34]*M, +1*k[565]*y[35]*y[9]*M, -1* k[566]*y[34]*M, -1*k[595]*y[34], +1* k[596]*y[35]*y[9], +1*k[601]*y[33], -1* k[602]*y[34]*y[20], +1*k[603]*y[33], -1* k[604]*y[34]*y[9]*y[9], +1*k[611]*y[40], -1* k[612]*y[34]*y[20]*y[20]]
    rate_str["C2H"] = [ +1*k[283]*y[19]*y[6], -1* k[284]*y[35]*y[9]*y[9], +1*k[297]*y[6]*y[6], -1* k[298]*y[35]*y[9], -1*k[323]*y[35]*y[10], +1* k[324]*y[6]*y[2], -1*k[325]*y[35]*y[18], +1* k[326]*y[34]*y[17], -1*k[333]*y[27]*y[35], +1* k[334]*y[10]*y[37], -1*k[335]*y[27]*y[35], +1* k[336]*y[2]*y[7], -1*k[351]*y[35]*y[20], +1* k[352]*y[34]*y[9], -1*k[353]*y[35]*y[13], +1* k[354]*y[34]*y[10], -1*k[355]*y[35]*y[13], +1* k[356]*y[2]*y[19], -1*k[357]*y[35]*y[36], +1* k[358]*y[13]*y[37], +1*k[363]*y[34]*y[14], -1* k[364]*y[11]*y[35], -1*k[393]*y[40]*y[35], +1* k[394]*y[34]*y[33]*y[9], -1*k[401]*y[41]*y[35], +1* k[402]*y[42]*y[34], -1*k[403]*y[11]*y[35], +1* k[404]*y[38]*y[9], -1*k[565]*y[35]*y[9]*M, +1* k[566]*y[34]*M, +1*k[595]*y[34], -1* k[596]*y[35]*y[9]]
    rate_str["HO2"] = [ -1*k[305]*y[36]*y[10], +1* k[306]*y[27]*y[13], -1*k[307]*y[36]*y[9], +1* k[308]*y[15]*y[10], -1*k[309]*y[36]*y[9], +1* k[310]*y[13]*y[13], -1*k[311]*y[36]*y[9], +1* k[312]*y[27]*y[20], -1*k[313]*y[36]*y[13], +1* k[314]*y[15]*y[27], +1*k[331]*y[27]*y[7], -1* k[332]*y[2]*y[36], -1*k[357]*y[35]*y[36], +1* k[358]*y[13]*y[37], -1*k[415]*y[24]*y[36], +1* k[416]*y[15]*y[25], -1*k[417]*y[24]*y[36], +1* k[418]*y[43]*y[27], +1*k[471]*y[13]*y[10]*M, -1* k[472]*y[36]*M, +1*k[473]*y[13]*y[16]*M, -1* k[474]*y[36]*M, +1*k[569]*y[27]*y[9]*M, -1* k[570]*y[36]*M, -1*k[639]*y[36], +1* k[640]*y[10]*y[13]]
    rate_str["HCCO"] = [ -1*k[315]*y[37]*y[9], +1* k[316]*y[2]*y[19], -1*k[317]*y[37]*y[10], +1* k[318]*y[2]*y[2]*y[9], -1*k[319]*y[37]*y[3], +1* k[320]*y[11]*y[0], -1*k[321]*y[37]*y[3], +1* k[322]*y[28]*y[2], +1*k[333]*y[27]*y[35], -1* k[334]*y[10]*y[37], +1*k[357]*y[35]*y[36], -1* k[358]*y[13]*y[37], +1*k[463]*y[2]*y[6]*M, -1* k[464]*y[37]*M]
    rate_str["HC3N"] = [ +1*k[361]*y[34]*y[14], -1* k[362]*y[38]*y[9], +1*k[403]*y[11]*y[35], -1* k[404]*y[38]*y[9]]
    rate_str["CH2CHCN"] = [ +1*k[375]*y[33]*y[14], -1* k[376]*y[39]*y[9]]
    rate_str["C2H6"] = [ -1*k[379]*y[40]*y[19], +1* k[380]*y[33]*y[17]*y[9], -1*k[381]*y[40]*y[10], +1* k[382]*y[33]*y[13]*y[9], -1*k[383]*y[40]*y[9], +1* k[384]*y[33]*y[20]*y[9], -1*k[385]*y[40]*y[13], +1* k[386]*y[33]*y[15]*y[9], -1*k[387]*y[40]*y[6], +1* k[388]*y[33]*y[17], -1*k[389]*y[40]*y[6], +1* k[390]*y[41]*y[9], -1*k[391]*y[40]*y[17], +1* k[392]*y[18]*y[33]*y[9], -1*k[393]*y[40]*y[35], +1* k[394]*y[34]*y[33]*y[9], -1*k[395]*y[40]*y[14], +1* k[396]*y[11]*y[33]*y[9], -1*k[397]*y[40]*y[16], +1* k[398]*y[33]*y[13]*y[9], -1*k[399]*y[40]*y[16], +1* k[400]*y[40]*y[10], +1*k[399]*y[40]*y[16], -1* k[400]*y[40]*y[10], -1*k[421]*y[24]*y[40], +1* k[422]*y[43]*y[33]*y[9], +1*k[535]*y[18]*y[4]*M, -1* k[536]*y[40]*M, +1*k[537]*y[17]*y[17]*M, -1* k[538]*y[40]*M, -1*k[607]*y[40], +1* k[608]*y[33]*y[20], -1*k[609]*y[40], +1* k[610]*y[33]*y[9]*y[9], -1*k[611]*y[40], +1* k[612]*y[34]*y[20]*y[20], -1*k[613]*y[40], +1* k[614]*y[18]*y[4], -1*k[615]*y[40], +1* k[616]*y[17]*y[17]]
    rate_str["CH3CHCH2"] = [ +1*k[389]*y[40]*y[6], -1* k[390]*y[41]*y[9], -1*k[401]*y[41]*y[35], +1* k[402]*y[42]*y[34], -1*k[453]*y[41]*y[14], +1* k[454]*y[46]*y[34]*y[9]]
    rate_str["CH2CHCH2"] = [ +1*k[401]*y[41]*y[35], -1* k[402]*y[42]*y[34]]
    rate_str["NH3"] = [ +1*k[417]*y[24]*y[36], -1* k[418]*y[43]*y[27], +1*k[419]*y[24]*y[20], -1* k[420]*y[43]*y[9], +1*k[421]*y[24]*y[40], -1* k[422]*y[43]*y[33]*y[9], +1*k[423]*y[24]*y[18], -1* k[424]*y[43]*y[17], -1*k[435]*y[43]*y[10], +1* k[436]*y[24]*y[13], -1*k[437]*y[43]*y[13], +1* k[438]*y[24]*y[15], -1*k[439]*y[43]*y[14], +1* k[440]*y[11]*y[24], -1*k[645]*y[43], +1* k[646]*y[24]*y[9], -1*k[647]*y[43], +1* k[648]*y[22]*y[9]*y[9]]
    rate_str["CH3CHO"] = [ -1*k[441]*y[44]*y[23], +1* k[442]*y[11]*y[20]*y[7], -1*k[443]*y[44]*y[9], +1* k[444]*y[2]*y[20]*y[17], -1*k[445]*y[44]*y[9], +1* k[446]*y[18]*y[7], +1*k[457]*y[7]*y[17]*M, -1* k[458]*y[44]*M, -1*k[635]*y[44], +1* k[636]*y[18]*y[2], -1*k[637]*y[44], +1* k[638]*y[17]*y[7]]
    rate_str["CH3OH"] = [ -1*k[447]*y[45]*y[23], +1* k[448]*y[17]*y[25], -1*k[449]*y[45]*y[13], +1* k[450]*y[5]*y[15]*y[9], +1*k[475]*y[13]*y[17]*M, -1* k[476]*y[45]*M, +1*k[497]*y[16]*y[18]*M, -1* k[498]*y[45]*M, -1*k[629]*y[45], +1* k[630]*y[17]*y[13], -1*k[631]*y[45], +1* k[632]*y[5]*y[20], -1*k[633]*y[45], +1* k[634]*y[49]*y[9]]
    rate_str["CH3CN"] = [ +1*k[451]*y[33]*y[1], -1* k[452]*y[46]*y[9], +1*k[453]*y[41]*y[14], -1* k[454]*y[46]*y[34]*y[9], +1*k[513]*y[14]*y[17]*M, -1* k[514]*y[46]*M]
    rate_str["H2O_l_s"] = [ +1*k[571]*y[15], -1* k[572]*y[47], -1*k[661]*y[47], +1* k[662]*y[51]]
    rate_str["C2H3"] = [ +1*k[605]*y[33], -1* k[606]*y[48]*y[9]]
    rate_str["CH3O"] = [ +1*k[633]*y[45], -1* k[634]*y[49]*y[9]]
    rate_str["HNCO"] = [ -1*k[653]*y[50], +1* k[654]*y[22]*y[2], -1*k[655]*y[50], +1* k[656]*y[9]*y[8]]
    rate_str["H2O_rain"] = [ +1*k[661]*y[47], -1* k[662]*y[51]]
    rate_str["HCN_rain"] = [ +1*k[663]*y[11], -1* k[664]*y[52]]
    return np.array(rate_str[sp]) 

corr = kb/1.e6  #P0=1.e6

# the data of 'H2CO' is from Brucat's 2015 
#C2H NASA 9 new from Brucat
nasa9 = {} 
for i in [ _ for _ in spec_list]:
    nasa9[i] = np.loadtxt('thermo/NASA9/' + str(i) + '.txt')
    nasa9[i] = nasa9[i].flatten()
    nasa9[i,'low'] = nasa9[i][0:10]
    nasa9[i,'high'] = nasa9[i][10:20]
	
#H/RT
def h_RT(T,a):
    return -a[0]/T**2 + a[1]*np.log(T)/T + a[2] + a[3]*T/2. + a[4]*T**2/3. + a[5]*T**3/4. + a[6]*T**4/5. + a[8]/T
    
#s/R    
def s_R(T,a):
    return -a[0]/T**2/2. -a[1]/T + a[2]*np.log(T) + a[3]*T + a[4]*T**2/2. + a[5]*T**3/3. + a[6]*T**4/4. + a[9]

#g/RT (non-dimensional)
def g_RT(T,a_low,a_high): # T has to be 200 < T < 6000 K
    gi = (T < 1000)*(h_RT(T, a_low)-s_R(T, a_low)) + (T >= 1000)*(h_RT(T, a_high)-s_R(T, a_high))

    return gi
    
def gibbs_sp(i,T):
    gi = g_RT(T,nasa9[i,'low'],nasa9[i,'high'])
    return gi

#cp/R
def cp_R(T,a):
    return a[0]/T**2 + a[1]/T + a[2] + a[3]*T + a[4]*T**2 + a[5]*T**3 + a[6]*T**4

#cp/R of species sp
def cp_R_sp(i,T):
    if np.any(np.logical_or(T < 200, T > 6000)):
        print ('T exceeds the valid range.')
    cp =  (T < 1000)*cp_R(T,nasa9[i,'low']) + (T >= 1000)*cp_R(T,nasa9[i,'high'])
    return cp

# Gibbs free energy:
def Gibbs(i,T):
    G={}
    G[1] = lambda T: np.exp( -(-1*gibbs_sp('CO2',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('NO',T) ) )
    G[3] = lambda T: np.exp( -(-1*gibbs_sp('CO2',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('CO',T) ) )
    G[5] = lambda T: np.exp( -(-1*gibbs_sp('CO2',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('CO',T) ) )
    G[7] = lambda T: np.exp( -(-1*gibbs_sp('NCO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('O',T)+1*gibbs_sp('HCN',T) ) )
    G[9] = lambda T: np.exp( -(-1*gibbs_sp('H2O2',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('OH',T) ) )*(corr*T)**-1
    G[11] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('HCO',T) ) )
    G[13] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[15] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('HCO',T) ) )
    G[17] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('O',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('OH',T) ) )
    G[19] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('O_1',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('OH',T) ) )
    G[21] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('CH4',T) ) )
    G[23] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('CH3',T) ) )
    G[25] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('CH3',T) ) )
    G[27] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CH3',T) ) )
    G[29] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('CH2',T) ) )
    G[31] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('H2',T) ) )
    G[33] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('H2CN',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('HCN',T) ) )
    G[35] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('HCO',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('CO',T) ) )
    G[37] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('HCO',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H2',T) ) )*(corr*T)**-1
    G[39] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('HCN',T) ) )
    G[41] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H2O',T) ) )
    G[43] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('O',T)+1*gibbs_sp('CO2',T)+1*gibbs_sp('H',T) ) )
    G[45] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('O',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('OH',T) ) )
    G[47] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('O_1',T)+1*gibbs_sp('CO2',T)+1*gibbs_sp('H',T) ) )
    G[49] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('N',T) ) )
    G[51] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('NH2',T) ) )
    G[53] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('N',T)+1*gibbs_sp('NCO',T)+1*gibbs_sp('H',T) ) )
    G[55] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('N',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('NH',T) ) )
    G[57] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('NCO',T)+1*gibbs_sp('H',T) ) )
    G[59] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('NH',T) ) )
    G[61] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CH4',T) ) )
    G[63] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CH3',T) ) )
    G[65] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CH3',T) ) )
    G[67] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CH2',T) ) )
    G[69] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CH2_1',T) ) )
    G[71] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H2',T) ) )
    G[73] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[75] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[77] = lambda T: np.exp( -(-1*gibbs_sp('CO',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('CO2',T)+1*gibbs_sp('H',T) ) )
    G[79] = lambda T: np.exp( -(-1*gibbs_sp('H2O',T)-1*gibbs_sp('O_1',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('OH',T) ) )
    G[81] = lambda T: np.exp( -(-1*gibbs_sp('H2O',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('HCN',T) ) )
    G[83] = lambda T: np.exp( -(-1*gibbs_sp('H2O',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('HNO',T)+1*gibbs_sp('H',T) ) )
    G[85] = lambda T: np.exp( -(-1*gibbs_sp('H2O',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('H',T) ) )
    G[87] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('HCN',T)+1*gibbs_sp('HOCN',T)+1*gibbs_sp('H',T) ) )
    G[89] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('NCO',T)+1*gibbs_sp('H',T) ) )
    G[91] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('O',T) ) )
    G[93] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('O',T) ) )
    G[95] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('O',T)+1*gibbs_sp('O2',T)+1*gibbs_sp('H',T) ) )
    G[97] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('O_1',T)+1*gibbs_sp('O2',T)+1*gibbs_sp('H',T) ) )
    G[99] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('HNO',T)+1*gibbs_sp('H',T) ) )
    G[101] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('N',T) ) )
    G[103] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('N',T)+1*gibbs_sp('NO',T)+1*gibbs_sp('H',T) ) )
    G[105] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('NO',T)+1*gibbs_sp('H',T) ) )
    G[107] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CH4',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('CH3',T) ) )
    G[109] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('CH2',T) ) )
    G[111] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('H',T) ) )
    G[113] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('CH',T) ) )
    G[115] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('H',T) ) )
    G[117] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('H',T) ) )
    G[119] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H2',T) ) )
    G[121] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[123] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('H',T) ) )
    G[125] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('H2CN',T)+1*gibbs_sp('HCNO',T)+1*gibbs_sp('H',T) ) )
    G[127] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('H2CN',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('HCN',T) ) )
    G[129] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('N',T) ) )
    G[131] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('N_2D',T) ) )
    G[133] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('NO',T)+1*gibbs_sp('H',T) ) )
    G[135] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('N',T) ) )
    G[137] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CH4',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('CH3',T) ) )
    G[139] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('H',T) ) )
    G[141] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[143] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H2',T) ) )
    G[145] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('H',T) ) )
    G[147] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H',T) ) )
    G[149] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('C',T) ) )
    G[151] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('H',T) ) )
    G[153] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('H2CN',T)+1*gibbs_sp('O',T)+1*gibbs_sp('H2CN',T) ) )
    G[155] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('H2CN',T)+1*gibbs_sp('HCNO',T)+1*gibbs_sp('H',T) ) )
    G[157] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('H2CN',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('HCN',T) ) )
    G[159] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('N_2D',T) ) )
    G[161] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CH4',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('CH3',T) ) )
    G[163] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('H',T) ) )
    G[165] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('H',T) ) )
    G[167] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[169] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H2',T) ) )
    G[171] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H',T) ) )
    G[173] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('H',T) ) )
    G[175] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('NH2',T) ) )
    G[177] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)-1*gibbs_sp('N',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('CH2',T) ) )
    G[179] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)-1*gibbs_sp('N',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('NH',T) ) )
    G[181] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('CH2',T) ) )
    G[183] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('CH2_1',T) ) )
    G[185] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CH2CN',T)+1*gibbs_sp('H',T) ) )
    G[187] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('CH2',T) ) )
    G[189] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('CH2_1',T) ) )
    G[191] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)-1*gibbs_sp('H',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('H2',T) ) )
    G[193] = lambda T: np.exp( -(-1*gibbs_sp('H2CN',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[195] = lambda T: np.exp( -(-1*gibbs_sp('HCN',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('NCCN',T)+1*gibbs_sp('H',T) ) )
    G[197] = lambda T: np.exp( -(-1*gibbs_sp('HCN',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('CH',T) ) )
    G[199] = lambda T: np.exp( -(-1*gibbs_sp('HCN',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('CH2CN',T)+1*gibbs_sp('H',T) ) )
    G[201] = lambda T: np.exp( -(-1*gibbs_sp('HCN',T)-1*gibbs_sp('H',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('H',T) ) )
    G[203] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('N',T) ) )
    G[205] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('CH',T)+1*gibbs_sp('N2',T) ) )
    G[207] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('N',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('C',T) ) )
    G[209] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('C',T) ) )
    G[211] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('CH4',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('CH3',T) ) )
    G[213] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('CH2',T) ) )
    G[215] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('C',T) ) )
    G[217] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('H',T) ) )
    G[219] = lambda T: np.exp( -(-1*gibbs_sp('NH',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[221] = lambda T: np.exp( -(-1*gibbs_sp('NH',T)-1*gibbs_sp('NH',T)+1*gibbs_sp('NH2',T)+1*gibbs_sp('N',T) ) )
    G[223] = lambda T: np.exp( -(-1*gibbs_sp('NH',T)-1*gibbs_sp('N',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('H',T) ) )
    G[225] = lambda T: np.exp( -(-1*gibbs_sp('NH',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('H',T) ) )
    G[227] = lambda T: np.exp( -(-1*gibbs_sp('NH',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('H2CN',T)+1*gibbs_sp('H2',T) ) )
    G[229] = lambda T: np.exp( -(-1*gibbs_sp('NH',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('H2CN',T)+1*gibbs_sp('H',T) ) )
    G[231] = lambda T: np.exp( -(-1*gibbs_sp('NH',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('H2CN',T)+1*gibbs_sp('H',T) ) )
    G[233] = lambda T: np.exp( -(-1*gibbs_sp('NH',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('H',T) ) )
    G[235] = lambda T: np.exp( -(-1*gibbs_sp('NH',T)-1*gibbs_sp('H',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('N',T) ) )
    G[237] = lambda T: np.exp( -(-1*gibbs_sp('N',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('H2CN',T)+1*gibbs_sp('H',T) ) )
    G[239] = lambda T: np.exp( -(-1*gibbs_sp('N',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('H',T) ) )
    G[241] = lambda T: np.exp( -(-1*gibbs_sp('N',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('CN',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[243] = lambda T: np.exp( -(-1*gibbs_sp('N',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CN',T)+1*gibbs_sp('H',T) ) )
    G[245] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('CH4',T)+1*gibbs_sp('H2CN',T)+1*gibbs_sp('H2',T) ) )
    G[247] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('H2CN',T)+1*gibbs_sp('H',T) ) )
    G[249] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('H',T) ) )
    G[251] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('CN',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[253] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('H',T) ) )
    G[255] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CN',T)+1*gibbs_sp('H',T) ) )
    G[257] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('NH',T)+1*gibbs_sp('H',T) ) )
    G[259] = lambda T: np.exp( -(-1*gibbs_sp('CH4',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('CH3',T)+1*gibbs_sp('CH3',T) ) )
    G[261] = lambda T: np.exp( -(-1*gibbs_sp('CH4',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H',T) ) )
    G[263] = lambda T: np.exp( -(-1*gibbs_sp('CH4',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH3',T)+1*gibbs_sp('H2',T) ) )
    G[265] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('CH4',T)+1*gibbs_sp('CH2',T) ) )
    G[267] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H',T) ) )
    G[269] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H',T) ) )
    G[271] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('C2H4',T) ) )*(corr*T)**1
    G[273] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[275] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH2',T)+1*gibbs_sp('H2',T) ) )
    G[277] = lambda T: np.exp( -(-1*gibbs_sp('CH2',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H2',T) ) )
    G[279] = lambda T: np.exp( -(-1*gibbs_sp('CH2',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[281] = lambda T: np.exp( -(-1*gibbs_sp('CH2',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H',T) ) )
    G[283] = lambda T: np.exp( -(-1*gibbs_sp('CH2',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('C2H',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[285] = lambda T: np.exp( -(-1*gibbs_sp('CH2',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH',T)+1*gibbs_sp('H2',T) ) )
    G[287] = lambda T: np.exp( -(-1*gibbs_sp('CH2_1',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H2',T) ) )
    G[289] = lambda T: np.exp( -(-1*gibbs_sp('CH2_1',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H',T) ) )
    G[291] = lambda T: np.exp( -(-1*gibbs_sp('CH2_1',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('CH3',T)+1*gibbs_sp('H',T) ) )
    G[293] = lambda T: np.exp( -(-1*gibbs_sp('CH2_1',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH',T)+1*gibbs_sp('H2',T) ) )
    G[295] = lambda T: np.exp( -(-1*gibbs_sp('CH2_1',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH2',T)+1*gibbs_sp('H',T) ) )
    G[297] = lambda T: np.exp( -(-1*gibbs_sp('CH',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('C2H',T)+1*gibbs_sp('H',T) ) )
    G[299] = lambda T: np.exp( -(-1*gibbs_sp('CH',T)-1*gibbs_sp('H',T)+1*gibbs_sp('C',T)+1*gibbs_sp('H2',T) ) )
    G[301] = lambda T: np.exp( -(-1*gibbs_sp('C',T)-1*gibbs_sp('O2',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('O',T) ) )
    G[303] = lambda T: np.exp( -(-1*gibbs_sp('C',T)-1*gibbs_sp('NO',T)+1*gibbs_sp('CN',T)+1*gibbs_sp('O',T) ) )
    G[305] = lambda T: np.exp( -(-1*gibbs_sp('HO2',T)-1*gibbs_sp('O',T)+1*gibbs_sp('O2',T)+1*gibbs_sp('OH',T) ) )
    G[307] = lambda T: np.exp( -(-1*gibbs_sp('HO2',T)-1*gibbs_sp('H',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('O',T) ) )
    G[309] = lambda T: np.exp( -(-1*gibbs_sp('HO2',T)-1*gibbs_sp('H',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('OH',T) ) )
    G[311] = lambda T: np.exp( -(-1*gibbs_sp('HO2',T)-1*gibbs_sp('H',T)+1*gibbs_sp('O2',T)+1*gibbs_sp('H2',T) ) )
    G[313] = lambda T: np.exp( -(-1*gibbs_sp('HO2',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('O2',T) ) )
    G[315] = lambda T: np.exp( -(-1*gibbs_sp('HCCO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CH2',T) ) )
    G[317] = lambda T: np.exp( -(-1*gibbs_sp('HCCO',T)-1*gibbs_sp('O',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[319] = lambda T: np.exp( -(-1*gibbs_sp('HCCO',T)-1*gibbs_sp('NO',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('CO2',T) ) )
    G[321] = lambda T: np.exp( -(-1*gibbs_sp('HCCO',T)-1*gibbs_sp('NO',T)+1*gibbs_sp('HCNO',T)+1*gibbs_sp('CO',T) ) )
    G[323] = lambda T: np.exp( -(-1*gibbs_sp('C2H',T)-1*gibbs_sp('O',T)+1*gibbs_sp('CH',T)+1*gibbs_sp('CO',T) ) )
    G[325] = lambda T: np.exp( -(-1*gibbs_sp('C2H',T)-1*gibbs_sp('CH4',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('CH3',T) ) )
    G[327] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)-1*gibbs_sp('NCO',T)+1*gibbs_sp('CO2',T)+1*gibbs_sp('NO',T) ) )
    G[329] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('CO',T) ) )
    G[331] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)-1*gibbs_sp('HCO',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('HO2',T) ) )
    G[333] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)-1*gibbs_sp('C2H',T)+1*gibbs_sp('O',T)+1*gibbs_sp('HCCO',T) ) )
    G[335] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)-1*gibbs_sp('C2H',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('HCO',T) ) )
    G[337] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('NCO',T)+1*gibbs_sp('O',T) ) )
    G[339] = lambda T: np.exp( -(-1*gibbs_sp('NCO',T)-1*gibbs_sp('O',T)+1*gibbs_sp('NO',T)+1*gibbs_sp('CO',T) ) )
    G[341] = lambda T: np.exp( -(-1*gibbs_sp('NCO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('NH',T)+1*gibbs_sp('CO',T) ) )
    G[343] = lambda T: np.exp( -(-1*gibbs_sp('NCO',T)-1*gibbs_sp('NO',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('CO2',T) ) )
    G[345] = lambda T: np.exp( -(-1*gibbs_sp('NO',T)-1*gibbs_sp('N',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('O',T) ) )
    G[347] = lambda T: np.exp( -(-1*gibbs_sp('NO',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('O',T) ) )
    G[349] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)-1*gibbs_sp('N',T)+1*gibbs_sp('NO',T)+1*gibbs_sp('O',T) ) )
    G[351] = lambda T: np.exp( -(-1*gibbs_sp('C2H',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H',T) ) )
    G[353] = lambda T: np.exp( -(-1*gibbs_sp('C2H',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('O',T) ) )
    G[355] = lambda T: np.exp( -(-1*gibbs_sp('C2H',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CH2',T) ) )
    G[357] = lambda T: np.exp( -(-1*gibbs_sp('C2H',T)-1*gibbs_sp('HO2',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('HCCO',T) ) )
    G[359] = lambda T: np.exp( -(-1*gibbs_sp('C2H2',T)-1*gibbs_sp('O',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('CH2',T) ) )
    G[361] = lambda T: np.exp( -(-1*gibbs_sp('C2H2',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('HC3N',T)+1*gibbs_sp('H',T) ) )
    G[363] = lambda T: np.exp( -(-1*gibbs_sp('C2H2',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('C2H',T) ) )
    G[365] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)-1*gibbs_sp('O',T)+1*gibbs_sp('HCO',T)+1*gibbs_sp('CH3',T) ) )
    G[367] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)-1*gibbs_sp('O',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('CH2',T) ) )
    G[369] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)-1*gibbs_sp('N',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('CH3',T) ) )
    G[371] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[373] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('CH4',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[375] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('CH2CHCN',T)+1*gibbs_sp('H',T) ) )
    G[377] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[379] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('CH3',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[381] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('O',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[383] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('H',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[385] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[387] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('CH3',T) ) )
    G[389] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CH3CHCH2',T)+1*gibbs_sp('H',T) ) )
    G[391] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('CH4',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[393] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('C2H',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[395] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[397] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('O_1',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[399] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)-1*gibbs_sp('O_1',T)+1*gibbs_sp('C2H6',T)+1*gibbs_sp('O',T) ) )
    G[401] = lambda T: np.exp( -(-1*gibbs_sp('CH3CHCH2',T)-1*gibbs_sp('C2H',T)+1*gibbs_sp('CH2CHCH2',T)+1*gibbs_sp('C2H2',T) ) )
    G[403] = lambda T: np.exp( -(-1*gibbs_sp('HCN',T)-1*gibbs_sp('C2H',T)+1*gibbs_sp('HC3N',T)+1*gibbs_sp('H',T) ) )
    G[405] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('O',T)+1*gibbs_sp('H',T)+1*gibbs_sp('HNO',T) ) )
    G[407] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('O',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('NH',T) ) )
    G[409] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('O',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('NO',T) ) )
    G[411] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('NO',T)+1*gibbs_sp('N2',T)+1*gibbs_sp('H2O',T) ) )
    G[413] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('NH',T) ) )
    G[415] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('HO2',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('HNO',T) ) )
    G[417] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('HO2',T)+1*gibbs_sp('NH3',T)+1*gibbs_sp('O2',T) ) )
    G[419] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('NH3',T)+1*gibbs_sp('H',T) ) )
    G[421] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('C2H6',T)+1*gibbs_sp('NH3',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[423] = lambda T: np.exp( -(-1*gibbs_sp('NH2',T)-1*gibbs_sp('CH4',T)+1*gibbs_sp('NH3',T)+1*gibbs_sp('CH3',T) ) )
    G[425] = lambda T: np.exp( -(-1*gibbs_sp('HNO',T)-1*gibbs_sp('O',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('NO',T) ) )
    G[427] = lambda T: np.exp( -(-1*gibbs_sp('HNO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('NO',T) ) )
    G[429] = lambda T: np.exp( -(-1*gibbs_sp('HNO',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('NO',T) ) )
    G[431] = lambda T: np.exp( -(-1*gibbs_sp('HNO',T)-1*gibbs_sp('HCO',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('NO',T) ) )
    G[433] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('HNO',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('NO',T) ) )
    G[435] = lambda T: np.exp( -(-1*gibbs_sp('NH3',T)-1*gibbs_sp('O',T)+1*gibbs_sp('NH2',T)+1*gibbs_sp('OH',T) ) )
    G[437] = lambda T: np.exp( -(-1*gibbs_sp('NH3',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('NH2',T)+1*gibbs_sp('H2O',T) ) )
    G[439] = lambda T: np.exp( -(-1*gibbs_sp('NH3',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('NH2',T) ) )
    G[441] = lambda T: np.exp( -(-1*gibbs_sp('CH3CHO',T)-1*gibbs_sp('N',T)+1*gibbs_sp('HCN',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('HCO',T) ) )*(corr*T)**-1
    G[443] = lambda T: np.exp( -(-1*gibbs_sp('CH3CHO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('CH3',T) ) )*(corr*T)**-1
    G[445] = lambda T: np.exp( -(-1*gibbs_sp('CH3CHO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH4',T)+1*gibbs_sp('HCO',T) ) )
    G[447] = lambda T: np.exp( -(-1*gibbs_sp('CH3OH',T)-1*gibbs_sp('N',T)+1*gibbs_sp('CH3',T)+1*gibbs_sp('HNO',T) ) )
    G[449] = lambda T: np.exp( -(-1*gibbs_sp('CH3OH',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('H2O',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[451] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('CH3CN',T)+1*gibbs_sp('H',T) ) )
    G[453] = lambda T: np.exp( -(-1*gibbs_sp('CH3CHCH2',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('CH3CN',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[455] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('HCNO',T) ) )*(corr*T)**1
    G[457] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('CH3CHO',T) ) )*(corr*T)**1
    G[459] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('H2CO',T) ) )*(corr*T)**1
    G[461] = lambda T: np.exp( -(-1*gibbs_sp('CO',T)-1*gibbs_sp('O_1',T)+1*gibbs_sp('CO2',T) ) )*(corr*T)**1
    G[463] = lambda T: np.exp( -(-1*gibbs_sp('CO',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCCO',T) ) )*(corr*T)**1
    G[465] = lambda T: np.exp( -(-1*gibbs_sp('CO',T)-1*gibbs_sp('H',T)+1*gibbs_sp('HCO',T) ) )*(corr*T)**1
    G[467] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('HOCN',T) ) )*(corr*T)**1
    G[469] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('OH',T)+1*gibbs_sp('H2O2',T) ) )*(corr*T)**1
    G[471] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('O',T)+1*gibbs_sp('HO2',T) ) )*(corr*T)**1
    G[473] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('O_1',T)+1*gibbs_sp('HO2',T) ) )*(corr*T)**1
    G[475] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('CH3OH',T) ) )*(corr*T)**1
    G[477] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)-1*gibbs_sp('H',T)+1*gibbs_sp('H2O',T) ) )*(corr*T)**1
    G[479] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('NCO',T) ) )*(corr*T)**1
    G[481] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('O',T)+1*gibbs_sp('O2',T) ) )*(corr*T)**1
    G[483] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('N',T)+1*gibbs_sp('NO',T) ) )*(corr*T)**1
    G[485] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('H2CO',T) ) )*(corr*T)**1
    G[487] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCO',T) ) )*(corr*T)**1
    G[489] = lambda T: np.exp( -(-1*gibbs_sp('O',T)-1*gibbs_sp('H',T)+1*gibbs_sp('OH',T) ) )*(corr*T)**1
    G[491] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('HCN',T)+1*gibbs_sp('HCNO',T) ) )*(corr*T)**1
    G[493] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('NCO',T) ) )*(corr*T)**1
    G[495] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('O_1',T)+1*gibbs_sp('O2',T) ) )*(corr*T)**1
    G[497] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CH4',T)+1*gibbs_sp('CH3OH',T) ) )*(corr*T)**1
    G[499] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('H2CO',T) ) )*(corr*T)**1
    G[501] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('HCO',T) ) )*(corr*T)**1
    G[503] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('H2O',T) ) )*(corr*T)**1
    G[505] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)-1*gibbs_sp('H',T)+1*gibbs_sp('OH',T) ) )*(corr*T)**1
    G[507] = lambda T: np.exp( -(-1*gibbs_sp('O_1',T)+1*gibbs_sp('O',T) ) )
    G[509] = lambda T: np.exp( -(-1*gibbs_sp('HCN',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('CH2CN',T) ) )*(corr*T)**1
    G[511] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('CN',T)+1*gibbs_sp('NCCN',T) ) )*(corr*T)**1
    G[513] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('CH3CN',T) ) )*(corr*T)**1
    G[515] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('CH2CN',T) ) )*(corr*T)**1
    G[517] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('CH2CN',T) ) )*(corr*T)**1
    G[519] = lambda T: np.exp( -(-1*gibbs_sp('CN',T)-1*gibbs_sp('H',T)+1*gibbs_sp('HCN',T) ) )*(corr*T)**1
    G[521] = lambda T: np.exp( -(-1*gibbs_sp('N',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('H2CN',T) ) )*(corr*T)**1
    G[523] = lambda T: np.exp( -(-1*gibbs_sp('N',T)-1*gibbs_sp('N',T)+1*gibbs_sp('N2',T) ) )*(corr*T)**1
    G[525] = lambda T: np.exp( -(-1*gibbs_sp('N',T)-1*gibbs_sp('H',T)+1*gibbs_sp('NH',T) ) )*(corr*T)**1
    G[527] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('H2CN',T) ) )*(corr*T)**1
    G[529] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('H2CN',T) ) )*(corr*T)**1
    G[531] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('N_2D',T)+1*gibbs_sp('N2',T) ) )*(corr*T)**1
    G[533] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)-1*gibbs_sp('H',T)+1*gibbs_sp('NH',T) ) )*(corr*T)**1
    G[535] = lambda T: np.exp( -(-1*gibbs_sp('CH4',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('C2H6',T) ) )*(corr*T)**1
    G[537] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)-1*gibbs_sp('CH3',T)+1*gibbs_sp('C2H6',T) ) )*(corr*T)**1
    G[539] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH4',T) ) )*(corr*T)**1
    G[541] = lambda T: np.exp( -(-1*gibbs_sp('CH2',T)-1*gibbs_sp('CH2',T)+1*gibbs_sp('C2H4',T) ) )*(corr*T)**1
    G[543] = lambda T: np.exp( -(-1*gibbs_sp('CH2',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH3',T) ) )*(corr*T)**1
    G[545] = lambda T: np.exp( -(-1*gibbs_sp('CH2_1',T)-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('C2H4',T) ) )*(corr*T)**1
    G[547] = lambda T: np.exp( -(-1*gibbs_sp('CH2_1',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('CH4',T) ) )*(corr*T)**1
    G[549] = lambda T: np.exp( -(-1*gibbs_sp('CH2_1',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH3',T) ) )*(corr*T)**1
    G[551] = lambda T: np.exp( -(-1*gibbs_sp('CH',T)-1*gibbs_sp('CH',T)+1*gibbs_sp('C2H2',T) ) )*(corr*T)**1
    G[553] = lambda T: np.exp( -(-1*gibbs_sp('CH',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('CH3',T) ) )*(corr*T)**1
    G[555] = lambda T: np.exp( -(-1*gibbs_sp('CH',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH2',T) ) )*(corr*T)**1
    G[557] = lambda T: np.exp( -(-1*gibbs_sp('CH',T)-1*gibbs_sp('H',T)+1*gibbs_sp('CH2_1',T) ) )*(corr*T)**1
    G[559] = lambda T: np.exp( -(-1*gibbs_sp('H',T)-1*gibbs_sp('H',T)+1*gibbs_sp('H2',T) ) )*(corr*T)**1
    G[561] = lambda T: np.exp( -(-1*gibbs_sp('N_2D',T)+1*gibbs_sp('N',T) ) )
    G[563] = lambda T: np.exp( -(-1*gibbs_sp('CH2_1',T)+1*gibbs_sp('CH2',T) ) )
    G[565] = lambda T: np.exp( -(-1*gibbs_sp('C2H',T)-1*gibbs_sp('H',T)+1*gibbs_sp('C2H2',T) ) )*(corr*T)**1
    G[567] = lambda T: np.exp( -(-1*gibbs_sp('C',T)-1*gibbs_sp('H2',T)+1*gibbs_sp('CH2',T) ) )*(corr*T)**1
    G[569] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)-1*gibbs_sp('H',T)+1*gibbs_sp('HO2',T) ) )*(corr*T)**1
    G[571] = lambda T: np.exp( -(-1*gibbs_sp('H2O',T)+1*gibbs_sp('H2O_l_s',T) ) )
    G[573] = lambda T: np.exp( -(-1*gibbs_sp('H2O',T)+1*gibbs_sp('H',T)+1*gibbs_sp('OH',T) ) )*(corr*T)**-1
    G[575] = lambda T: np.exp( -(-1*gibbs_sp('H2O',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('O_1',T) ) )*(corr*T)**-1
    G[577] = lambda T: np.exp( -(-1*gibbs_sp('H2O',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T)+1*gibbs_sp('O',T) ) )*(corr*T)**-2
    G[579] = lambda T: np.exp( -(-1*gibbs_sp('CH4',T)+1*gibbs_sp('CH3',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[581] = lambda T: np.exp( -(-1*gibbs_sp('CH4',T)+1*gibbs_sp('CH2_1',T)+1*gibbs_sp('H2',T) ) )*(corr*T)**-1
    G[583] = lambda T: np.exp( -(-1*gibbs_sp('CH4',T)+1*gibbs_sp('CH2_1',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-2
    G[585] = lambda T: np.exp( -(-1*gibbs_sp('CH4',T)+1*gibbs_sp('CH',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-2
    G[587] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)+1*gibbs_sp('CH',T)+1*gibbs_sp('H2',T) ) )*(corr*T)**-1
    G[589] = lambda T: np.exp( -(-1*gibbs_sp('CH3',T)+1*gibbs_sp('CH2_1',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[591] = lambda T: np.exp( -(-1*gibbs_sp('CO',T)+1*gibbs_sp('C',T)+1*gibbs_sp('O',T) ) )*(corr*T)**-1
    G[593] = lambda T: np.exp( -(-1*gibbs_sp('H2',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[595] = lambda T: np.exp( -(-1*gibbs_sp('C2H2',T)+1*gibbs_sp('C2H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[597] = lambda T: np.exp( -(-1*gibbs_sp('CO2',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('O',T) ) )*(corr*T)**-1
    G[599] = lambda T: np.exp( -(-1*gibbs_sp('CO2',T)+1*gibbs_sp('CO',T)+1*gibbs_sp('O_1',T) ) )*(corr*T)**-1
    G[601] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H2',T) ) )*(corr*T)**-1
    G[603] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-2
    G[605] = lambda T: np.exp( -(-1*gibbs_sp('C2H4',T)+1*gibbs_sp('C2H3',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[607] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H2',T) ) )*(corr*T)**-1
    G[609] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)+1*gibbs_sp('C2H4',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-2
    G[611] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)+1*gibbs_sp('C2H2',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('H2',T) ) )*(corr*T)**-2
    G[613] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)+1*gibbs_sp('CH4',T)+1*gibbs_sp('CH2_1',T) ) )*(corr*T)**-1
    G[615] = lambda T: np.exp( -(-1*gibbs_sp('C2H6',T)+1*gibbs_sp('CH3',T)+1*gibbs_sp('CH3',T) ) )*(corr*T)**-1
    G[617] = lambda T: np.exp( -(-1*gibbs_sp('OH',T)+1*gibbs_sp('H',T)+1*gibbs_sp('O',T) ) )*(corr*T)**-1
    G[619] = lambda T: np.exp( -(-1*gibbs_sp('HCO',T)+1*gibbs_sp('H',T)+1*gibbs_sp('CO',T) ) )*(corr*T)**-1
    G[621] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)+1*gibbs_sp('H2',T)+1*gibbs_sp('CO',T) ) )*(corr*T)**-1
    G[623] = lambda T: np.exp( -(-1*gibbs_sp('H2CO',T)+1*gibbs_sp('H',T)+1*gibbs_sp('HCO',T) ) )*(corr*T)**-1
    G[625] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)+1*gibbs_sp('O',T)+1*gibbs_sp('O',T) ) )*(corr*T)**-1
    G[627] = lambda T: np.exp( -(-1*gibbs_sp('O2',T)+1*gibbs_sp('O',T)+1*gibbs_sp('O_1',T) ) )*(corr*T)**-1
    G[629] = lambda T: np.exp( -(-1*gibbs_sp('CH3OH',T)+1*gibbs_sp('CH3',T)+1*gibbs_sp('OH',T) ) )*(corr*T)**-1
    G[631] = lambda T: np.exp( -(-1*gibbs_sp('CH3OH',T)+1*gibbs_sp('H2CO',T)+1*gibbs_sp('H2',T) ) )*(corr*T)**-1
    G[633] = lambda T: np.exp( -(-1*gibbs_sp('CH3OH',T)+1*gibbs_sp('CH3O',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[635] = lambda T: np.exp( -(-1*gibbs_sp('CH3CHO',T)+1*gibbs_sp('CH4',T)+1*gibbs_sp('CO',T) ) )*(corr*T)**-1
    G[637] = lambda T: np.exp( -(-1*gibbs_sp('CH3CHO',T)+1*gibbs_sp('CH3',T)+1*gibbs_sp('HCO',T) ) )*(corr*T)**-1
    G[639] = lambda T: np.exp( -(-1*gibbs_sp('HO2',T)+1*gibbs_sp('O',T)+1*gibbs_sp('OH',T) ) )*(corr*T)**-1
    G[641] = lambda T: np.exp( -(-1*gibbs_sp('H2O2',T)+1*gibbs_sp('OH',T)+1*gibbs_sp('OH',T) ) )*(corr*T)**-1
    G[643] = lambda T: np.exp( -(-1*gibbs_sp('N2',T)+1*gibbs_sp('N',T)+1*gibbs_sp('N',T) ) )*(corr*T)**-1
    G[645] = lambda T: np.exp( -(-1*gibbs_sp('NH3',T)+1*gibbs_sp('NH2',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[647] = lambda T: np.exp( -(-1*gibbs_sp('NH3',T)+1*gibbs_sp('NH',T)+1*gibbs_sp('H',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-2
    G[649] = lambda T: np.exp( -(-1*gibbs_sp('HCN',T)+1*gibbs_sp('H',T)+1*gibbs_sp('CN',T) ) )*(corr*T)**-1
    G[651] = lambda T: np.exp( -(-1*gibbs_sp('NO',T)+1*gibbs_sp('N',T)+1*gibbs_sp('O',T) ) )*(corr*T)**-1
    G[653] = lambda T: np.exp( -(-1*gibbs_sp('HNCO',T)+1*gibbs_sp('NH',T)+1*gibbs_sp('CO',T) ) )*(corr*T)**-1
    G[655] = lambda T: np.exp( -(-1*gibbs_sp('HNCO',T)+1*gibbs_sp('H',T)+1*gibbs_sp('NCO',T) ) )*(corr*T)**-1
    G[657] = lambda T: np.exp( -(-1*gibbs_sp('CH2',T)+1*gibbs_sp('CH',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[659] = lambda T: np.exp( -(-1*gibbs_sp('CH',T)+1*gibbs_sp('C',T)+1*gibbs_sp('H',T) ) )*(corr*T)**-1
    G[661] = lambda T: np.exp( -(-1*gibbs_sp('H2O_l_s',T)+1*gibbs_sp('H2O_rain',T) ) )
    G[663] = lambda T: np.exp( -(-1*gibbs_sp('HCN',T)+1*gibbs_sp('HCN_rain',T) ) )
    return G[i](T)


def symjac(y, M, k): 
    nz = vulcan_cfg.nz
    dfdy = np.zeros(shape=[ni*nz, ni*nz])   
    indx = [] 
    for j in range(ni): 
        indx.append( np.arange(j,j+ni*nz,ni) ) 
    dfdy[indx[0], indx[0]] = -M*k[462] - k[1]*y[:,1] - k[320]*y[:,11] - k[328]*y[:,3] - k[344]*y[:,30] - k[3]*y[:,4] - k[44]*y[:,9] - k[48]*y[:,9] - k[597] - k[599] - k[5]*y[:,6] - k[78]*y[:,9]
    dfdy[indx[0], indx[1]] = -k[1]*y[:,0]
    dfdy[indx[0], indx[2]] = M*k[461]*y[:,16] + k[2]*y[:,3] + k[4]*y[:,5] + k[598]*y[:,10] + k[600]*y[:,16] + k[6]*y[:,7] + k[77]*y[:,13]
    dfdy[indx[0], indx[3]] = k[2]*y[:,2] + k[319]*y[:,37] - k[328]*y[:,0] + k[343]*y[:,8]
    dfdy[indx[0], indx[4]] = -k[3]*y[:,0]
    dfdy[indx[0], indx[5]] = k[4]*y[:,2]
    dfdy[indx[0], indx[6]] = -k[5]*y[:,0]
    dfdy[indx[0], indx[7]] = k[43]*y[:,10] + k[47]*y[:,16] + k[6]*y[:,2]
    dfdy[indx[0], indx[8]] = k[327]*y[:,27] + k[343]*y[:,3]
    dfdy[indx[0], indx[9]] = -k[44]*y[:,0] - k[48]*y[:,0] - k[78]*y[:,0]
    dfdy[indx[0], indx[10]] = k[43]*y[:,7] + k[598]*y[:,2]
    dfdy[indx[0], indx[11]] = -k[320]*y[:,0]
    dfdy[indx[0], indx[12]] = 0
    dfdy[indx[0], indx[13]] = k[77]*y[:,2]
    dfdy[indx[0], indx[14]] = 0
    dfdy[indx[0], indx[15]] = 0
    dfdy[indx[0], indx[16]] = M*k[461]*y[:,2] + k[47]*y[:,7] + k[600]*y[:,2]
    dfdy[indx[0], indx[17]] = 0
    dfdy[indx[0], indx[18]] = 0
    dfdy[indx[0], indx[19]] = 0
    dfdy[indx[0], indx[20]] = 0
    dfdy[indx[0], indx[21]] = 0
    dfdy[indx[0], indx[22]] = 0
    dfdy[indx[0], indx[23]] = 0
    dfdy[indx[0], indx[24]] = 0
    dfdy[indx[0], indx[25]] = 0
    dfdy[indx[0], indx[26]] = 0
    dfdy[indx[0], indx[27]] = k[327]*y[:,8]
    dfdy[indx[0], indx[28]] = 0
    dfdy[indx[0], indx[29]] = 0
    dfdy[indx[0], indx[30]] = -k[344]*y[:,0]
    dfdy[indx[0], indx[31]] = 0
    dfdy[indx[0], indx[32]] = 0
    dfdy[indx[0], indx[33]] = 0
    dfdy[indx[0], indx[34]] = 0
    dfdy[indx[0], indx[35]] = 0
    dfdy[indx[0], indx[36]] = 0
    dfdy[indx[0], indx[37]] = k[319]*y[:,3]
    dfdy[indx[0], indx[38]] = 0
    dfdy[indx[0], indx[39]] = 0
    dfdy[indx[0], indx[40]] = 0
    dfdy[indx[0], indx[41]] = 0
    dfdy[indx[0], indx[42]] = 0
    dfdy[indx[0], indx[43]] = 0
    dfdy[indx[0], indx[44]] = 0
    dfdy[indx[0], indx[45]] = 0
    dfdy[indx[0], indx[46]] = 0
    dfdy[indx[0], indx[47]] = 0
    dfdy[indx[0], indx[48]] = 0
    dfdy[indx[0], indx[49]] = 0
    dfdy[indx[0], indx[50]] = 0
    dfdy[indx[0], indx[51]] = 0
    dfdy[indx[0], indx[52]] = 0
    dfdy[indx[1], indx[0]] = -k[1]*y[:,1]
    dfdy[indx[1], indx[1]] = -M*k[455]*y[:,7] - M*k[527]*y[:,19] - M*k[529]*y[:,4] - 4*M*k[531]*y[:,1] - M*k[533]*y[:,9] - M*k[561] - k[105]*y[:,13] - k[132]*y[:,2] - k[160]*y[:,2] - k[181]*y[:,21] - k[183]*y[:,21] - k[197]*y[:,11] - k[1]*y[:,0] - k[209]*y[:,14] - k[225]*y[:,22] - k[245]*y[:,18] - k[247]*y[:,17] - k[249]*y[:,19] - k[251]*y[:,19] - k[253]*y[:,4] - k[255]*y[:,6] - k[257]*y[:,20] - k[347]*y[:,3] - k[451]*y[:,33] - k[57]*y[:,7] - k[59]*y[:,7] - k[83]*y[:,15]
    dfdy[indx[1], indx[2]] = -k[132]*y[:,1] - k[160]*y[:,1] + k[2]*y[:,3] + k[60]*y[:,22]
    dfdy[indx[1], indx[3]] = k[106]*y[:,9] + k[2]*y[:,2] - k[347]*y[:,1]
    dfdy[indx[1], indx[4]] = -M*k[529]*y[:,1] + k[184]*y[:,30] - k[253]*y[:,1]
    dfdy[indx[1], indx[5]] = 0
    dfdy[indx[1], indx[6]] = k[198]*y[:,30] - k[255]*y[:,1]
    dfdy[indx[1], indx[7]] = -M*k[455]*y[:,1] - k[57]*y[:,1] - k[59]*y[:,1]
    dfdy[indx[1], indx[8]] = k[58]*y[:,9]
    dfdy[indx[1], indx[9]] = -M*k[533]*y[:,1] + k[106]*y[:,3] + k[226]*y[:,30] + k[248]*y[:,21] + k[250]*y[:,11] + 2*k[252]*y[:,14]*y[:,9] + k[254]*y[:,11] + k[256]*y[:,14] + k[258]*y[:,22] + k[452]*y[:,46] + k[58]*y[:,8] + k[84]*y[:,25]
    dfdy[indx[1], indx[10]] = k[131]*y[:,14] + k[348]*y[:,30]
    dfdy[indx[1], indx[11]] = -k[197]*y[:,1] + k[250]*y[:,9] + k[254]*y[:,9]
    dfdy[indx[1], indx[12]] = 0
    dfdy[indx[1], indx[13]] = -k[105]*y[:,1]
    dfdy[indx[1], indx[14]] = k[131]*y[:,10] + k[159]*y[:,16] - k[209]*y[:,1] + k[252]*y[:,9]**2 + k[256]*y[:,9]
    dfdy[indx[1], indx[15]] = -k[83]*y[:,1]
    dfdy[indx[1], indx[16]] = k[159]*y[:,14]
    dfdy[indx[1], indx[17]] = -k[247]*y[:,1]
    dfdy[indx[1], indx[18]] = -k[245]*y[:,1]
    dfdy[indx[1], indx[19]] = -M*k[527]*y[:,1] + k[182]*y[:,30] - k[249]*y[:,1] - k[251]*y[:,1]
    dfdy[indx[1], indx[20]] = k[246]*y[:,21] - k[257]*y[:,1]
    dfdy[indx[1], indx[21]] = M*k[528] + M*k[530] - k[181]*y[:,1] - k[183]*y[:,1] + k[246]*y[:,20] + k[248]*y[:,9]
    dfdy[indx[1], indx[22]] = M*k[534] - k[225]*y[:,1] + k[258]*y[:,9] + k[60]*y[:,2]
    dfdy[indx[1], indx[23]] = M*k[562]
    dfdy[indx[1], indx[24]] = 0
    dfdy[indx[1], indx[25]] = k[84]*y[:,9]
    dfdy[indx[1], indx[26]] = 0
    dfdy[indx[1], indx[27]] = 0
    dfdy[indx[1], indx[28]] = M*k[456]
    dfdy[indx[1], indx[29]] = k[210]*y[:,30]
    dfdy[indx[1], indx[30]] = 2*M*k[532] + k[182]*y[:,19] + k[184]*y[:,4] + k[198]*y[:,6] + k[210]*y[:,29] + k[226]*y[:,9] + k[348]*y[:,10]
    dfdy[indx[1], indx[31]] = 0
    dfdy[indx[1], indx[32]] = 0
    dfdy[indx[1], indx[33]] = -k[451]*y[:,1]
    dfdy[indx[1], indx[34]] = 0
    dfdy[indx[1], indx[35]] = 0
    dfdy[indx[1], indx[36]] = 0
    dfdy[indx[1], indx[37]] = 0
    dfdy[indx[1], indx[38]] = 0
    dfdy[indx[1], indx[39]] = 0
    dfdy[indx[1], indx[40]] = 0
    dfdy[indx[1], indx[41]] = 0
    dfdy[indx[1], indx[42]] = 0
    dfdy[indx[1], indx[43]] = 0
    dfdy[indx[1], indx[44]] = 0
    dfdy[indx[1], indx[45]] = 0
    dfdy[indx[1], indx[46]] = k[452]*y[:,9]
    dfdy[indx[1], indx[47]] = 0
    dfdy[indx[1], indx[48]] = 0
    dfdy[indx[1], indx[49]] = 0
    dfdy[indx[1], indx[50]] = 0
    dfdy[indx[1], indx[51]] = 0
    dfdy[indx[1], indx[52]] = 0
    dfdy[indx[2], indx[0]] = M*k[462] + k[1]*y[:,1] + k[3]*y[:,4] + k[597] + k[599] + k[5]*y[:,6] + k[78]*y[:,9]
    dfdy[indx[2], indx[1]] = -k[132]*y[:,2] - k[160]*y[:,2] + k[1]*y[:,0] + k[59]*y[:,7]
    dfdy[indx[2], indx[2]] = -M*k[461]*y[:,16] - M*k[463]*y[:,6] - M*k[465]*y[:,9] - k[120]*y[:,20] - k[122]*y[:,9]**2 - k[130]*y[:,23] - k[132]*y[:,1] - k[142]*y[:,9]**2 - k[144]*y[:,20] - k[148]*y[:,9] - k[14]*y[:,15]*y[:,9] - k[160]*y[:,1] - k[168]*y[:,9]**2 - k[170]*y[:,20] - k[172]*y[:,9] - k[28]*y[:,17] - k[2]*y[:,3] - k[302]*y[:,10] - k[316]*y[:,19] - 4*k[318]*y[:,2]*y[:,9] - k[322]*y[:,28] - k[324]*y[:,6] - k[330]*y[:,13] - k[332]*y[:,36] - k[336]*y[:,7] - k[340]*y[:,3] - k[342]*y[:,22] - k[356]*y[:,19] - k[360]*y[:,19] - k[36]*y[:,5] - 4*k[38]*y[:,20]*y[:,2] - k[40]*y[:,11] - k[42]*y[:,15] - k[444]*y[:,17]*y[:,20] - k[46]*y[:,13] - k[4]*y[:,5] - k[52]*y[:,24] - k[56]*y[:,22] - k[591] - k[598]*y[:,10] - k[600]*y[:,16] - k[60]*y[:,22] - k[620]*y[:,9] - k[622]*y[:,20] - k[62]*y[:,18] - k[636]*y[:,18] - k[64]*y[:,17] - k[654]*y[:,22] - k[66]*y[:,17] - k[68]*y[:,19] - k[6]*y[:,7] - k[70]*y[:,4] - k[72]*y[:,20] - k[74]*y[:,9]**2 - k[76]*y[:,9] - k[77]*y[:,13]
    dfdy[indx[2], indx[3]] = -k[2]*y[:,2] + k[321]*y[:,37] - k[340]*y[:,2]
    dfdy[indx[2], indx[4]] = k[167]*y[:,16] + k[169]*y[:,16] + k[3]*y[:,0] + k[65]*y[:,7] - k[70]*y[:,2]
    dfdy[indx[2], indx[5]] = k[13]*y[:,13] + k[27]*y[:,6] - k[36]*y[:,2] - k[4]*y[:,2] + k[621]
    dfdy[indx[2], indx[6]] = -M*k[463]*y[:,2] + k[119]*y[:,13] + k[121]*y[:,13] + k[147]*y[:,10] + k[171]*y[:,16] + k[27]*y[:,5] - k[324]*y[:,2] + k[329]*y[:,27] + k[5]*y[:,0] + k[67]*y[:,7] + k[69]*y[:,7]
    dfdy[indx[2], indx[7]] = M*k[466] + k[331]*y[:,27] - k[336]*y[:,2] + 2*k[35]*y[:,7] + 4*k[37]*y[:,7] + k[39]*y[:,14] + k[41]*y[:,13] + k[45]*y[:,10] + k[51]*y[:,22] + k[55]*y[:,23] + k[59]*y[:,1] + k[619] + k[61]*y[:,17] + k[63]*y[:,19] + k[65]*y[:,4] + k[67]*y[:,6] + k[69]*y[:,6] - k[6]*y[:,2] + k[71]*y[:,9] + k[73]*y[:,9] + k[75]
    dfdy[indx[2], indx[8]] = k[339]*y[:,10] + k[341]*y[:,9]
    dfdy[indx[2], indx[9]] = -M*k[465]*y[:,2] - 2*k[122]*y[:,2]*y[:,9] - 2*k[142]*y[:,2]*y[:,9] - k[148]*y[:,2] - k[14]*y[:,15]*y[:,2] - 2*k[168]*y[:,2]*y[:,9] - k[172]*y[:,2] + k[315]*y[:,37] - 2*k[318]*y[:,2]**2 + k[341]*y[:,8] + k[443]*y[:,44] - k[620]*y[:,2] + k[71]*y[:,7] + k[73]*y[:,7] - 2*k[74]*y[:,2]*y[:,9] - k[76]*y[:,2] + k[78]*y[:,0]
    dfdy[indx[2], indx[10]] = k[129]*y[:,14] + k[131]*y[:,14] + k[141]*y[:,19] + k[143]*y[:,19] + k[147]*y[:,6] - k[302]*y[:,2] + 2*k[317]*y[:,37] + k[323]*y[:,35] + k[339]*y[:,8] + k[359]*y[:,34] + k[45]*y[:,7] + k[592]*y[:,29] - k[598]*y[:,2]
    dfdy[indx[2], indx[11]] = -k[40]*y[:,2]
    dfdy[indx[2], indx[12]] = 0
    dfdy[indx[2], indx[13]] = k[119]*y[:,6] + k[121]*y[:,6] + k[13]*y[:,5] - k[330]*y[:,2] + k[355]*y[:,35] + k[41]*y[:,7] - k[46]*y[:,2] - k[77]*y[:,2]
    dfdy[indx[2], indx[14]] = k[129]*y[:,10] + k[131]*y[:,10] + k[159]*y[:,16] + k[39]*y[:,7]
    dfdy[indx[2], indx[15]] = -k[14]*y[:,2]*y[:,9] - k[42]*y[:,2]
    dfdy[indx[2], indx[16]] = -M*k[461]*y[:,2] + k[159]*y[:,14] + k[167]*y[:,4] + k[169]*y[:,4] + k[171]*y[:,6] - k[600]*y[:,2]
    dfdy[indx[2], indx[17]] = -k[28]*y[:,2] - k[444]*y[:,20]*y[:,2] + k[61]*y[:,7] - k[64]*y[:,2] - k[66]*y[:,2]
    dfdy[indx[2], indx[18]] = -k[62]*y[:,2] - k[636]*y[:,2]
    dfdy[indx[2], indx[19]] = k[141]*y[:,10] + k[143]*y[:,10] - k[316]*y[:,2] - k[356]*y[:,2] - k[360]*y[:,2] + k[63]*y[:,7] - k[68]*y[:,2]
    dfdy[indx[2], indx[20]] = -k[120]*y[:,2] - k[144]*y[:,2] - k[170]*y[:,2] - 2*k[38]*y[:,2]**2 - k[444]*y[:,17]*y[:,2] - k[622]*y[:,2] - k[72]*y[:,2]
    dfdy[indx[2], indx[21]] = 0
    dfdy[indx[2], indx[22]] = -k[342]*y[:,2] + k[51]*y[:,7] - k[56]*y[:,2] - k[60]*y[:,2] - k[654]*y[:,2]
    dfdy[indx[2], indx[23]] = -k[130]*y[:,2] + k[55]*y[:,7]
    dfdy[indx[2], indx[24]] = -k[52]*y[:,2]
    dfdy[indx[2], indx[25]] = 0
    dfdy[indx[2], indx[26]] = 0
    dfdy[indx[2], indx[27]] = k[301]*y[:,29] + k[329]*y[:,6] + k[331]*y[:,7] + k[335]*y[:,35]
    dfdy[indx[2], indx[28]] = -k[322]*y[:,2]
    dfdy[indx[2], indx[29]] = k[301]*y[:,27] + k[592]*y[:,10]
    dfdy[indx[2], indx[30]] = 0
    dfdy[indx[2], indx[31]] = 0
    dfdy[indx[2], indx[32]] = 0
    dfdy[indx[2], indx[33]] = 0
    dfdy[indx[2], indx[34]] = k[359]*y[:,10]
    dfdy[indx[2], indx[35]] = k[323]*y[:,10] + k[335]*y[:,27] + k[355]*y[:,13]
    dfdy[indx[2], indx[36]] = -k[332]*y[:,2]
    dfdy[indx[2], indx[37]] = M*k[464] + k[315]*y[:,9] + 2*k[317]*y[:,10] + k[321]*y[:,3]
    dfdy[indx[2], indx[38]] = 0
    dfdy[indx[2], indx[39]] = 0
    dfdy[indx[2], indx[40]] = 0
    dfdy[indx[2], indx[41]] = 0
    dfdy[indx[2], indx[42]] = 0
    dfdy[indx[2], indx[43]] = 0
    dfdy[indx[2], indx[44]] = k[443]*y[:,9] + k[635]
    dfdy[indx[2], indx[45]] = 0
    dfdy[indx[2], indx[46]] = 0
    dfdy[indx[2], indx[47]] = 0
    dfdy[indx[2], indx[48]] = 0
    dfdy[indx[2], indx[49]] = 0
    dfdy[indx[2], indx[50]] = k[653]
    dfdy[indx[2], indx[51]] = 0
    dfdy[indx[2], indx[52]] = 0
    dfdy[indx[3], indx[0]] = k[1]*y[:,1] + k[320]*y[:,11] - k[328]*y[:,3] + k[344]*y[:,30]
    dfdy[indx[3], indx[1]] = k[105]*y[:,13] + k[1]*y[:,0] - k[347]*y[:,3]
    dfdy[indx[3], indx[2]] = -k[2]*y[:,3] + k[322]*y[:,28] - k[340]*y[:,3]
    dfdy[indx[3], indx[3]] = -M*k[484] - k[104]*y[:,9] - k[106]*y[:,9] - k[134]*y[:,9] - k[2]*y[:,2] - k[303]*y[:,29] - k[319]*y[:,37] - k[321]*y[:,37] - k[328]*y[:,0] - k[340]*y[:,2] - k[343]*y[:,8] - k[345]*y[:,23] - k[347]*y[:,1] - k[350]*y[:,10] - k[410]*y[:,20] - k[411]*y[:,24] - k[426]*y[:,13] - k[428]*y[:,20] - k[430]*y[:,15] - k[432]*y[:,5] - k[434]*y[:,11] - k[651]
    dfdy[indx[3], indx[4]] = 0
    dfdy[indx[3], indx[5]] = -k[432]*y[:,3]
    dfdy[indx[3], indx[6]] = 0
    dfdy[indx[3], indx[7]] = k[431]*y[:,25]
    dfdy[indx[3], indx[8]] = k[327]*y[:,27] + k[339]*y[:,10] - k[343]*y[:,3]
    dfdy[indx[3], indx[9]] = -k[104]*y[:,3] - k[106]*y[:,3] - k[134]*y[:,3] + k[427]*y[:,25]
    dfdy[indx[3], indx[10]] = M*k[483]*y[:,23] + k[133]*y[:,22] + k[304]*y[:,14] + k[339]*y[:,8] + k[346]*y[:,30] + k[348]*y[:,30] - k[350]*y[:,3] + k[409]*y[:,24] + k[425]*y[:,25] + k[652]*y[:,23]
    dfdy[indx[3], indx[11]] = k[320]*y[:,0] - k[434]*y[:,3]
    dfdy[indx[3], indx[12]] = 0
    dfdy[indx[3], indx[13]] = k[103]*y[:,23] + k[105]*y[:,1] - k[426]*y[:,3] + k[429]*y[:,25]
    dfdy[indx[3], indx[14]] = k[304]*y[:,10] + k[433]*y[:,25]
    dfdy[indx[3], indx[15]] = k[412]*y[:,30] - k[430]*y[:,3]
    dfdy[indx[3], indx[16]] = 0
    dfdy[indx[3], indx[17]] = 0
    dfdy[indx[3], indx[18]] = 0
    dfdy[indx[3], indx[19]] = 0
    dfdy[indx[3], indx[20]] = -k[410]*y[:,3] - k[428]*y[:,3]
    dfdy[indx[3], indx[21]] = 0
    dfdy[indx[3], indx[22]] = k[133]*y[:,10]
    dfdy[indx[3], indx[23]] = M*k[483]*y[:,10] + k[103]*y[:,13] - k[345]*y[:,3] + k[349]*y[:,27] + k[652]*y[:,10]
    dfdy[indx[3], indx[24]] = k[409]*y[:,10] - k[411]*y[:,3]
    dfdy[indx[3], indx[25]] = k[425]*y[:,10] + k[427]*y[:,9] + k[429]*y[:,13] + k[431]*y[:,7] + k[433]*y[:,14]
    dfdy[indx[3], indx[26]] = 0
    dfdy[indx[3], indx[27]] = k[327]*y[:,8] + k[349]*y[:,23]
    dfdy[indx[3], indx[28]] = k[322]*y[:,2]
    dfdy[indx[3], indx[29]] = -k[303]*y[:,3]
    dfdy[indx[3], indx[30]] = k[344]*y[:,0] + k[346]*y[:,10] + k[348]*y[:,10] + k[412]*y[:,15]
    dfdy[indx[3], indx[31]] = 0
    dfdy[indx[3], indx[32]] = 0
    dfdy[indx[3], indx[33]] = 0
    dfdy[indx[3], indx[34]] = 0
    dfdy[indx[3], indx[35]] = 0
    dfdy[indx[3], indx[36]] = 0
    dfdy[indx[3], indx[37]] = -k[319]*y[:,3] - k[321]*y[:,3]
    dfdy[indx[3], indx[38]] = 0
    dfdy[indx[3], indx[39]] = 0
    dfdy[indx[3], indx[40]] = 0
    dfdy[indx[3], indx[41]] = 0
    dfdy[indx[3], indx[42]] = 0
    dfdy[indx[3], indx[43]] = 0
    dfdy[indx[3], indx[44]] = 0
    dfdy[indx[3], indx[45]] = 0
    dfdy[indx[3], indx[46]] = 0
    dfdy[indx[3], indx[47]] = 0
    dfdy[indx[3], indx[48]] = 0
    dfdy[indx[3], indx[49]] = 0
    dfdy[indx[3], indx[50]] = 0
    dfdy[indx[3], indx[51]] = 0
    dfdy[indx[3], indx[52]] = 0
    dfdy[indx[4], indx[0]] = -k[3]*y[:,4]
    dfdy[indx[4], indx[1]] = -M*k[529]*y[:,4] + k[183]*y[:,21] - k[253]*y[:,4]
    dfdy[indx[4], indx[2]] = k[168]*y[:,9]**2 + k[170]*y[:,20] + k[4]*y[:,5] + k[66]*y[:,17] - k[70]*y[:,4]
    dfdy[indx[4], indx[3]] = 0
    dfdy[indx[4], indx[4]] = -M*k[499]*y[:,16] - M*k[517]*y[:,14] - M*k[529]*y[:,1] - M*k[535]*y[:,18] - 4*M*k[545]*y[:,4] - M*k[547]*y[:,20] - M*k[549]*y[:,9] - M*k[558] - M*k[563] - k[115]*y[:,13] - k[145]*y[:,10] - k[167]*y[:,16] - k[169]*y[:,16] - k[184]*y[:,30] - k[190]*y[:,11] - k[199]*y[:,11] - k[231]*y[:,22] - k[241]*y[:,23] - k[253]*y[:,1] - k[259]*y[:,18] - k[25]*y[:,5] - k[269]*y[:,17] - k[279]*y[:,19] - 4*k[287]*y[:,4] - k[289]*y[:,6] - k[291]*y[:,20] - k[293]*y[:,9] - k[295]*y[:,9] - k[3]*y[:,0] - k[582]*y[:,20] - k[584]*y[:,9]**2 - k[590]*y[:,9] - k[614]*y[:,18] - k[65]*y[:,7] - k[70]*y[:,2]
    dfdy[indx[4], indx[5]] = M*k[500] + k[116]*y[:,9] - k[25]*y[:,4] + k[4]*y[:,2]
    dfdy[indx[4], indx[6]] = M*k[557]*y[:,9] + k[189]*y[:,21] - k[289]*y[:,4] + k[294]*y[:,20] + k[69]*y[:,7]
    dfdy[indx[4], indx[7]] = k[146]*y[:,9] + k[26]*y[:,17] - k[65]*y[:,4] + k[69]*y[:,6]
    dfdy[indx[4], indx[8]] = 0
    dfdy[indx[4], indx[9]] = -M*k[549]*y[:,4] + M*k[557]*y[:,6] + k[116]*y[:,5] + k[146]*y[:,7] + 2*k[168]*y[:,2]*y[:,9] + k[200]*y[:,31] + k[232]*y[:,21] + 2*k[242]*y[:,14]*y[:,9] + k[254]*y[:,11] + k[270]*y[:,33] + 2*k[280]*y[:,34]*y[:,9] + k[290]*y[:,34] + k[292]*y[:,17] - k[293]*y[:,4] - k[295]*y[:,4] + k[296]*y[:,19] - 2*k[584]*y[:,4]*y[:,9] - k[590]*y[:,4]
    dfdy[indx[4], indx[10]] = -k[145]*y[:,4]
    dfdy[indx[4], indx[11]] = -k[190]*y[:,4] - k[199]*y[:,4] + k[254]*y[:,9]
    dfdy[indx[4], indx[12]] = 0
    dfdy[indx[4], indx[13]] = -k[115]*y[:,4]
    dfdy[indx[4], indx[14]] = -M*k[517]*y[:,4] + k[242]*y[:,9]**2
    dfdy[indx[4], indx[15]] = 0
    dfdy[indx[4], indx[16]] = -M*k[499]*y[:,4] - k[167]*y[:,4] - k[169]*y[:,4]
    dfdy[indx[4], indx[17]] = M*k[550] + 2*k[260]*y[:,17] - k[269]*y[:,4] + k[26]*y[:,7] + k[292]*y[:,9] + k[589] + k[66]*y[:,2]
    dfdy[indx[4], indx[18]] = -M*k[535]*y[:,4] + M*k[548] - k[259]*y[:,4] + k[581] + k[583] - k[614]*y[:,4]
    dfdy[indx[4], indx[19]] = M*k[564] - k[279]*y[:,4] + k[296]*y[:,9]
    dfdy[indx[4], indx[20]] = -M*k[547]*y[:,4] + k[170]*y[:,2] + 2*k[288]*y[:,34] - k[291]*y[:,4] + k[294]*y[:,6] - k[582]*y[:,4]
    dfdy[indx[4], indx[21]] = M*k[530] + k[183]*y[:,1] + k[189]*y[:,6] + k[232]*y[:,9]
    dfdy[indx[4], indx[22]] = -k[231]*y[:,4]
    dfdy[indx[4], indx[23]] = -k[241]*y[:,4]
    dfdy[indx[4], indx[24]] = 0
    dfdy[indx[4], indx[25]] = 0
    dfdy[indx[4], indx[26]] = 0
    dfdy[indx[4], indx[27]] = 0
    dfdy[indx[4], indx[28]] = 0
    dfdy[indx[4], indx[29]] = 0
    dfdy[indx[4], indx[30]] = -k[184]*y[:,4]
    dfdy[indx[4], indx[31]] = M*k[518] + k[200]*y[:,9]
    dfdy[indx[4], indx[32]] = 0
    dfdy[indx[4], indx[33]] = 2*M*k[546] + k[270]*y[:,9]
    dfdy[indx[4], indx[34]] = k[280]*y[:,9]**2 + 2*k[288]*y[:,20] + k[290]*y[:,9]
    dfdy[indx[4], indx[35]] = 0
    dfdy[indx[4], indx[36]] = 0
    dfdy[indx[4], indx[37]] = 0
    dfdy[indx[4], indx[38]] = 0
    dfdy[indx[4], indx[39]] = 0
    dfdy[indx[4], indx[40]] = M*k[536] + k[613]
    dfdy[indx[4], indx[41]] = 0
    dfdy[indx[4], indx[42]] = 0
    dfdy[indx[4], indx[43]] = 0
    dfdy[indx[4], indx[44]] = 0
    dfdy[indx[4], indx[45]] = 0
    dfdy[indx[4], indx[46]] = 0
    dfdy[indx[4], indx[47]] = 0
    dfdy[indx[4], indx[48]] = 0
    dfdy[indx[4], indx[49]] = 0
    dfdy[indx[4], indx[50]] = 0
    dfdy[indx[4], indx[51]] = 0
    dfdy[indx[4], indx[52]] = 0
    dfdy[indx[5], indx[0]] = k[3]*y[:,4]
    dfdy[indx[5], indx[1]] = 0
    dfdy[indx[5], indx[2]] = k[14]*y[:,15]*y[:,9] + k[28]*y[:,17] - k[36]*y[:,5] - k[4]*y[:,5] + k[622]*y[:,20]
    dfdy[indx[5], indx[3]] = -k[432]*y[:,5]
    dfdy[indx[5], indx[4]] = M*k[499]*y[:,16] + k[115]*y[:,13] - k[25]*y[:,5] + k[3]*y[:,0]
    dfdy[indx[5], indx[5]] = -M*k[460] - M*k[486] - M*k[500] - k[112]*y[:,9] - k[116]*y[:,9] - k[11]*y[:,14] - k[13]*y[:,13] - k[140]*y[:,9] - k[15]*y[:,13] - k[164]*y[:,9] - k[17]*y[:,10] - k[19]*y[:,16] - k[21]*y[:,17] - k[23]*y[:,19] - k[25]*y[:,4] - k[27]*y[:,6] - k[29]*y[:,6] - k[31]*y[:,9] - k[34]*y[:,11] - k[368]*y[:,19] - k[36]*y[:,2] - k[432]*y[:,3] - k[450]*y[:,15]*y[:,9] - k[4]*y[:,2] - k[50]*y[:,23] - k[621] - k[623] - k[632]*y[:,20] - k[86]*y[:,9]
    dfdy[indx[5], indx[6]] = -k[27]*y[:,5] - k[29]*y[:,5] + k[85]*y[:,15]
    dfdy[indx[5], indx[7]] = M*k[459]*y[:,9] + k[12]*y[:,11] + k[16]*y[:,15] + k[18]*y[:,13] + k[20]*y[:,13] + k[22]*y[:,18] + k[24]*y[:,17] + k[26]*y[:,17] + k[30]*y[:,19] + k[32]*y[:,20] + k[33]*y[:,21] + 2*k[35]*y[:,7] + k[431]*y[:,25] + k[49]*y[:,22] + k[624]*y[:,9]
    dfdy[indx[5], indx[8]] = 0
    dfdy[indx[5], indx[9]] = M*k[459]*y[:,7] - k[112]*y[:,5] - k[116]*y[:,5] - k[140]*y[:,5] + k[14]*y[:,15]*y[:,2] - k[164]*y[:,5] - k[31]*y[:,5] - k[450]*y[:,15]*y[:,5] + k[624]*y[:,7] - k[86]*y[:,5]
    dfdy[indx[5], indx[10]] = M*k[485]*y[:,19] + k[139]*y[:,17] - k[17]*y[:,5] + k[367]*y[:,33]
    dfdy[indx[5], indx[11]] = k[12]*y[:,7] - k[34]*y[:,5]
    dfdy[indx[5], indx[12]] = 0
    dfdy[indx[5], indx[13]] = k[111]*y[:,19] + k[115]*y[:,4] - k[13]*y[:,5] - k[15]*y[:,5] + k[18]*y[:,7] + k[20]*y[:,7] + k[449]*y[:,45]
    dfdy[indx[5], indx[14]] = -k[11]*y[:,5]
    dfdy[indx[5], indx[15]] = k[14]*y[:,2]*y[:,9] + k[16]*y[:,7] - k[450]*y[:,5]*y[:,9] + k[85]*y[:,6]
    dfdy[indx[5], indx[16]] = M*k[499]*y[:,4] + k[163]*y[:,17] - k[19]*y[:,5]
    dfdy[indx[5], indx[17]] = k[139]*y[:,10] + k[163]*y[:,16] - k[21]*y[:,5] + k[24]*y[:,7] + k[26]*y[:,7] + k[28]*y[:,2]
    dfdy[indx[5], indx[18]] = k[22]*y[:,7]
    dfdy[indx[5], indx[19]] = M*k[485]*y[:,10] + k[111]*y[:,13] - k[23]*y[:,5] + k[30]*y[:,7] - k[368]*y[:,5]
    dfdy[indx[5], indx[20]] = k[32]*y[:,7] + k[622]*y[:,2] - k[632]*y[:,5]
    dfdy[indx[5], indx[21]] = k[33]*y[:,7]
    dfdy[indx[5], indx[22]] = k[49]*y[:,7]
    dfdy[indx[5], indx[23]] = -k[50]*y[:,5]
    dfdy[indx[5], indx[24]] = 0
    dfdy[indx[5], indx[25]] = k[431]*y[:,7]
    dfdy[indx[5], indx[26]] = 0
    dfdy[indx[5], indx[27]] = 0
    dfdy[indx[5], indx[28]] = 0
    dfdy[indx[5], indx[29]] = 0
    dfdy[indx[5], indx[30]] = 0
    dfdy[indx[5], indx[31]] = 0
    dfdy[indx[5], indx[32]] = 0
    dfdy[indx[5], indx[33]] = k[367]*y[:,10]
    dfdy[indx[5], indx[34]] = 0
    dfdy[indx[5], indx[35]] = 0
    dfdy[indx[5], indx[36]] = 0
    dfdy[indx[5], indx[37]] = 0
    dfdy[indx[5], indx[38]] = 0
    dfdy[indx[5], indx[39]] = 0
    dfdy[indx[5], indx[40]] = 0
    dfdy[indx[5], indx[41]] = 0
    dfdy[indx[5], indx[42]] = 0
    dfdy[indx[5], indx[43]] = 0
    dfdy[indx[5], indx[44]] = 0
    dfdy[indx[5], indx[45]] = k[449]*y[:,13] + k[631]
    dfdy[indx[5], indx[46]] = 0
    dfdy[indx[5], indx[47]] = 0
    dfdy[indx[5], indx[48]] = 0
    dfdy[indx[5], indx[49]] = 0
    dfdy[indx[5], indx[50]] = 0
    dfdy[indx[5], indx[51]] = 0
    dfdy[indx[5], indx[52]] = 0
    dfdy[indx[6], indx[0]] = -k[5]*y[:,6]
    dfdy[indx[6], indx[1]] = k[197]*y[:,11] - k[255]*y[:,6]
    dfdy[indx[6], indx[2]] = -M*k[463]*y[:,6] + k[120]*y[:,20] + k[122]*y[:,9]**2 + k[148]*y[:,9] + k[172]*y[:,9] + k[28]*y[:,17] - k[324]*y[:,6] + k[330]*y[:,13] + k[68]*y[:,19] + k[6]*y[:,7] + k[70]*y[:,4]
    dfdy[indx[6], indx[3]] = 0
    dfdy[indx[6], indx[4]] = M*k[558] + k[190]*y[:,11] - k[289]*y[:,6] + k[293]*y[:,9] + k[70]*y[:,2]
    dfdy[indx[6], indx[5]] = -k[27]*y[:,6] - k[29]*y[:,6] + k[86]*y[:,9]
    dfdy[indx[6], indx[6]] = -M*k[463]*y[:,2] - M*k[487]*y[:,10] - M*k[501]*y[:,16] - M*k[509]*y[:,11] - 4*M*k[551]*y[:,6] - M*k[553]*y[:,20] - M*k[555]*y[:,9] - M*k[557]*y[:,9] - k[114]*y[:,15] - k[117]*y[:,13] - k[119]*y[:,13] - k[121]*y[:,13] - k[147]*y[:,10] - k[149]*y[:,10] - k[171]*y[:,16] - k[185]*y[:,21] - k[187]*y[:,21] - k[189]*y[:,21] - k[198]*y[:,30] - k[206]*y[:,30] - k[215]*y[:,14] - k[233]*y[:,22] - k[243]*y[:,23] - k[255]*y[:,1] - k[261]*y[:,18] - k[271]*y[:,17] - k[273]*y[:,17] - k[27]*y[:,5] - k[281]*y[:,19] - k[283]*y[:,19] - k[286]*y[:,20] - k[289]*y[:,4] - k[294]*y[:,20] - 4*k[297]*y[:,6] - k[299]*y[:,9] - k[29]*y[:,5] - k[324]*y[:,2] - k[329]*y[:,27] - k[387]*y[:,40] - k[389]*y[:,40] - k[586]*y[:,20]*y[:,9] - k[588]*y[:,20] - k[5]*y[:,0] - k[658]*y[:,9] - k[659] - k[67]*y[:,7] - k[69]*y[:,7] - k[85]*y[:,15]
    dfdy[indx[6], indx[7]] = M*k[488] + M*k[502] + k[118]*y[:,9] + k[30]*y[:,19] - k[67]*y[:,6] - k[69]*y[:,6] + k[6]*y[:,2]
    dfdy[indx[6], indx[8]] = 0
    dfdy[indx[6], indx[9]] = -M*k[555]*y[:,6] - M*k[557]*y[:,6] + k[118]*y[:,7] + 2*k[122]*y[:,2]*y[:,9] + k[148]*y[:,2] + k[172]*y[:,2] + k[186]*y[:,31] + k[234]*y[:,11] + k[244]*y[:,14] + k[256]*y[:,14] + k[262]*y[:,33] + 2*k[274]*y[:,34]*y[:,9] + k[282]*y[:,34] + 2*k[284]*y[:,35]*y[:,9] + k[285]*y[:,19] + k[290]*y[:,34] + k[293]*y[:,4] + 2*k[298]*y[:,35] - k[299]*y[:,6] + k[390]*y[:,41] - k[586]*y[:,20]*y[:,6] - k[658]*y[:,6] + k[660]*y[:,29] + k[86]*y[:,5]
    dfdy[indx[6], indx[10]] = -M*k[487]*y[:,6] - k[147]*y[:,6] - k[149]*y[:,6] + k[323]*y[:,35]
    dfdy[indx[6], indx[11]] = -M*k[509]*y[:,6] + k[188]*y[:,19] + k[190]*y[:,4] + k[197]*y[:,1] + k[216]*y[:,29] + k[234]*y[:,9]
    dfdy[indx[6], indx[12]] = 0
    dfdy[indx[6], indx[13]] = k[113]*y[:,19] - k[117]*y[:,6] - k[119]*y[:,6] - k[121]*y[:,6] + k[150]*y[:,29] + k[330]*y[:,2]
    dfdy[indx[6], indx[14]] = k[205]*y[:,22] - k[215]*y[:,6] + k[244]*y[:,9] + k[256]*y[:,9]
    dfdy[indx[6], indx[15]] = -k[114]*y[:,6] - k[85]*y[:,6]
    dfdy[indx[6], indx[16]] = -M*k[501]*y[:,6] - k[171]*y[:,6]
    dfdy[indx[6], indx[17]] = M*k[554] - k[271]*y[:,6] - k[273]*y[:,6] + k[28]*y[:,2] + k[388]*y[:,33] + k[587]
    dfdy[indx[6], indx[18]] = -k[261]*y[:,6] + k[585]
    dfdy[indx[6], indx[19]] = M*k[556] + k[113]*y[:,13] + k[188]*y[:,11] - k[281]*y[:,6] - k[283]*y[:,6] + k[285]*y[:,9] + k[30]*y[:,7] + k[657] + k[68]*y[:,2]
    dfdy[indx[6], indx[20]] = -M*k[553]*y[:,6] + k[120]*y[:,2] - k[286]*y[:,6] - k[294]*y[:,6] + k[300]*y[:,29] - k[586]*y[:,6]*y[:,9] - k[588]*y[:,6]
    dfdy[indx[6], indx[21]] = -k[185]*y[:,6] - k[187]*y[:,6] - k[189]*y[:,6]
    dfdy[indx[6], indx[22]] = k[205]*y[:,14] - k[233]*y[:,6]
    dfdy[indx[6], indx[23]] = -k[243]*y[:,6]
    dfdy[indx[6], indx[24]] = 0
    dfdy[indx[6], indx[25]] = 0
    dfdy[indx[6], indx[26]] = 0
    dfdy[indx[6], indx[27]] = -k[329]*y[:,6]
    dfdy[indx[6], indx[28]] = 0
    dfdy[indx[6], indx[29]] = k[150]*y[:,13] + k[216]*y[:,11] + k[300]*y[:,20] + k[660]*y[:,9]
    dfdy[indx[6], indx[30]] = -k[198]*y[:,6] - k[206]*y[:,6]
    dfdy[indx[6], indx[31]] = M*k[510] + k[186]*y[:,9]
    dfdy[indx[6], indx[32]] = 0
    dfdy[indx[6], indx[33]] = k[262]*y[:,9] + k[272] + k[388]*y[:,17]
    dfdy[indx[6], indx[34]] = 2*M*k[552] + k[274]*y[:,9]**2 + k[282]*y[:,9] + k[290]*y[:,9]
    dfdy[indx[6], indx[35]] = k[284]*y[:,9]**2 + 2*k[298]*y[:,9] + k[323]*y[:,10]
    dfdy[indx[6], indx[36]] = 0
    dfdy[indx[6], indx[37]] = M*k[464]
    dfdy[indx[6], indx[38]] = 0
    dfdy[indx[6], indx[39]] = 0
    dfdy[indx[6], indx[40]] = -k[387]*y[:,6] - k[389]*y[:,6]
    dfdy[indx[6], indx[41]] = k[390]*y[:,9]
    dfdy[indx[6], indx[42]] = 0
    dfdy[indx[6], indx[43]] = 0
    dfdy[indx[6], indx[44]] = 0
    dfdy[indx[6], indx[45]] = 0
    dfdy[indx[6], indx[46]] = 0
    dfdy[indx[6], indx[47]] = 0
    dfdy[indx[6], indx[48]] = 0
    dfdy[indx[6], indx[49]] = 0
    dfdy[indx[6], indx[50]] = 0
    dfdy[indx[6], indx[51]] = 0
    dfdy[indx[6], indx[52]] = 0
    dfdy[indx[7], indx[0]] = k[44]*y[:,9] + k[48]*y[:,9] + k[5]*y[:,6]
    dfdy[indx[7], indx[1]] = -M*k[455]*y[:,7] - k[57]*y[:,7] - k[59]*y[:,7]
    dfdy[indx[7], indx[2]] = M*k[465]*y[:,9] + k[332]*y[:,36] - k[336]*y[:,7] + 2*k[36]*y[:,5] + 4*k[38]*y[:,20]*y[:,2] + k[40]*y[:,11] + k[42]*y[:,15] + k[46]*y[:,13] + k[52]*y[:,24] + k[56]*y[:,22] + k[60]*y[:,22] + k[620]*y[:,9] + k[62]*y[:,18] + k[64]*y[:,17] + k[66]*y[:,17] + k[68]*y[:,19] - k[6]*y[:,7] + k[70]*y[:,4] + k[72]*y[:,20] + k[74]*y[:,9]**2 + k[76]*y[:,9]
    dfdy[indx[7], indx[3]] = k[432]*y[:,5]
    dfdy[indx[7], indx[4]] = k[145]*y[:,10] + k[25]*y[:,5] - k[65]*y[:,7] + k[70]*y[:,2]
    dfdy[indx[7], indx[5]] = M*k[460] + k[11]*y[:,14] + k[15]*y[:,13] + k[17]*y[:,10] + k[19]*y[:,16] + k[21]*y[:,17] + k[23]*y[:,19] + k[25]*y[:,4] + k[29]*y[:,6] + k[31]*y[:,9] + k[34]*y[:,11] + 2*k[36]*y[:,2] + k[432]*y[:,3] + k[50]*y[:,23] + k[623]
    dfdy[indx[7], indx[6]] = M*k[487]*y[:,10] + M*k[501]*y[:,16] + k[117]*y[:,13] + k[29]*y[:,5] + k[5]*y[:,0] - k[67]*y[:,7] - k[69]*y[:,7]
    dfdy[indx[7], indx[7]] = -M*k[455]*y[:,1] - M*k[457]*y[:,17] - M*k[459]*y[:,9] - M*k[466] - M*k[488] - M*k[502] - k[118]*y[:,9] - k[12]*y[:,11] - k[146]*y[:,9] - k[166]*y[:,9] - k[16]*y[:,15] - k[18]*y[:,13] - k[20]*y[:,13] - k[22]*y[:,18] - k[24]*y[:,17] - k[26]*y[:,17] - k[30]*y[:,19] - k[32]*y[:,20] - k[331]*y[:,27] - k[336]*y[:,2] - k[33]*y[:,21] - 4*k[35]*y[:,7] - k[366]*y[:,17] - 4*k[37]*y[:,7] - k[39]*y[:,14] - k[41]*y[:,13] - k[431]*y[:,25] - k[43]*y[:,10] - k[442]*y[:,11]*y[:,20] - k[446]*y[:,18] - k[45]*y[:,10] - k[47]*y[:,16] - k[49]*y[:,22] - k[51]*y[:,22] - k[53]*y[:,23] - k[55]*y[:,23] - k[57]*y[:,1] - k[59]*y[:,1] - k[619] - k[61]*y[:,17] - k[624]*y[:,9] - k[638]*y[:,17] - k[63]*y[:,19] - k[65]*y[:,4] - k[67]*y[:,6] - k[69]*y[:,6] - k[6]*y[:,2] - k[71]*y[:,9] - k[73]*y[:,9] - k[75]
    dfdy[indx[7], indx[8]] = k[54]*y[:,9] + k[58]*y[:,9]
    dfdy[indx[7], indx[9]] = -M*k[459]*y[:,7] + M*k[465]*y[:,2] - k[118]*y[:,7] - k[146]*y[:,7] - k[166]*y[:,7] + k[31]*y[:,5] + k[445]*y[:,44] + k[44]*y[:,0] + k[48]*y[:,0] + k[54]*y[:,8] + k[58]*y[:,8] + k[620]*y[:,2] - k[624]*y[:,7] - k[71]*y[:,7] - k[73]*y[:,7] + 2*k[74]*y[:,2]*y[:,9] + k[76]*y[:,2]
    dfdy[indx[7], indx[10]] = M*k[487]*y[:,6] + k[145]*y[:,4] + k[17]*y[:,5] + k[365]*y[:,33] - k[43]*y[:,7] - k[45]*y[:,7]
    dfdy[indx[7], indx[11]] = -k[12]*y[:,7] + k[34]*y[:,5] + k[40]*y[:,2] - k[442]*y[:,20]*y[:,7]
    dfdy[indx[7], indx[12]] = 0
    dfdy[indx[7], indx[13]] = k[117]*y[:,6] + k[15]*y[:,5] - k[18]*y[:,7] - k[20]*y[:,7] - k[41]*y[:,7] + k[46]*y[:,2]
    dfdy[indx[7], indx[14]] = k[11]*y[:,5] - k[39]*y[:,7]
    dfdy[indx[7], indx[15]] = -k[16]*y[:,7] + k[42]*y[:,2]
    dfdy[indx[7], indx[16]] = M*k[501]*y[:,6] + k[165]*y[:,19] + k[19]*y[:,5] - k[47]*y[:,7]
    dfdy[indx[7], indx[17]] = -M*k[457]*y[:,7] + k[21]*y[:,5] - k[24]*y[:,7] - k[26]*y[:,7] - k[366]*y[:,7] - k[61]*y[:,7] - k[638]*y[:,7] + k[64]*y[:,2] + k[66]*y[:,2]
    dfdy[indx[7], indx[18]] = -k[22]*y[:,7] - k[446]*y[:,7] + k[62]*y[:,2]
    dfdy[indx[7], indx[19]] = k[165]*y[:,16] + k[23]*y[:,5] - k[30]*y[:,7] - k[63]*y[:,7] + k[68]*y[:,2]
    dfdy[indx[7], indx[20]] = -k[32]*y[:,7] + 2*k[38]*y[:,2]**2 - k[442]*y[:,11]*y[:,7] + k[72]*y[:,2]
    dfdy[indx[7], indx[21]] = -k[33]*y[:,7]
    dfdy[indx[7], indx[22]] = -k[49]*y[:,7] - k[51]*y[:,7] + k[56]*y[:,2] + k[60]*y[:,2]
    dfdy[indx[7], indx[23]] = k[441]*y[:,44] + k[50]*y[:,5] - k[53]*y[:,7] - k[55]*y[:,7]
    dfdy[indx[7], indx[24]] = k[52]*y[:,2]
    dfdy[indx[7], indx[25]] = -k[431]*y[:,7]
    dfdy[indx[7], indx[26]] = 0
    dfdy[indx[7], indx[27]] = -k[331]*y[:,7] + k[335]*y[:,35]
    dfdy[indx[7], indx[28]] = M*k[456]
    dfdy[indx[7], indx[29]] = 0
    dfdy[indx[7], indx[30]] = 0
    dfdy[indx[7], indx[31]] = 0
    dfdy[indx[7], indx[32]] = 0
    dfdy[indx[7], indx[33]] = k[365]*y[:,10]
    dfdy[indx[7], indx[34]] = 0
    dfdy[indx[7], indx[35]] = k[335]*y[:,27]
    dfdy[indx[7], indx[36]] = k[332]*y[:,2]
    dfdy[indx[7], indx[37]] = 0
    dfdy[indx[7], indx[38]] = 0
    dfdy[indx[7], indx[39]] = 0
    dfdy[indx[7], indx[40]] = 0
    dfdy[indx[7], indx[41]] = 0
    dfdy[indx[7], indx[42]] = 0
    dfdy[indx[7], indx[43]] = 0
    dfdy[indx[7], indx[44]] = M*k[458] + k[441]*y[:,23] + k[445]*y[:,9] + k[637]
    dfdy[indx[7], indx[45]] = 0
    dfdy[indx[7], indx[46]] = 0
    dfdy[indx[7], indx[47]] = 0
    dfdy[indx[7], indx[48]] = 0
    dfdy[indx[7], indx[49]] = 0
    dfdy[indx[7], indx[50]] = 0
    dfdy[indx[7], indx[51]] = 0
    dfdy[indx[7], indx[52]] = 0
    dfdy[indx[8], indx[0]] = k[328]*y[:,3] + k[344]*y[:,30]
    dfdy[indx[8], indx[1]] = k[57]*y[:,7]
    dfdy[indx[8], indx[2]] = k[340]*y[:,3] + k[342]*y[:,22]
    dfdy[indx[8], indx[3]] = k[328]*y[:,0] + k[340]*y[:,2] - k[343]*y[:,8]
    dfdy[indx[8], indx[4]] = 0
    dfdy[indx[8], indx[5]] = 0
    dfdy[indx[8], indx[6]] = 0
    dfdy[indx[8], indx[7]] = k[53]*y[:,23] + k[57]*y[:,1]
    dfdy[indx[8], indx[8]] = -M*k[480] - M*k[494] - k[327]*y[:,27] - k[338]*y[:,10] - k[339]*y[:,10] - k[341]*y[:,9] - k[343]*y[:,3] - k[54]*y[:,9] - k[58]*y[:,9] - k[656]*y[:,9] - k[7]*y[:,9] - k[90]*y[:,9]
    dfdy[indx[8], indx[9]] = -k[341]*y[:,8] - k[54]*y[:,8] - k[58]*y[:,8] - k[656]*y[:,8] - k[7]*y[:,8] - k[90]*y[:,8]
    dfdy[indx[8], indx[10]] = M*k[479]*y[:,14] - k[338]*y[:,8] - k[339]*y[:,8] + k[8]*y[:,11]
    dfdy[indx[8], indx[11]] = k[8]*y[:,10]
    dfdy[indx[8], indx[12]] = 0
    dfdy[indx[8], indx[13]] = k[89]*y[:,14]
    dfdy[indx[8], indx[14]] = M*k[479]*y[:,10] + M*k[493]*y[:,16] + k[337]*y[:,27] + k[89]*y[:,13]
    dfdy[indx[8], indx[15]] = 0
    dfdy[indx[8], indx[16]] = M*k[493]*y[:,14]
    dfdy[indx[8], indx[17]] = 0
    dfdy[indx[8], indx[18]] = 0
    dfdy[indx[8], indx[19]] = 0
    dfdy[indx[8], indx[20]] = 0
    dfdy[indx[8], indx[21]] = 0
    dfdy[indx[8], indx[22]] = k[342]*y[:,2]
    dfdy[indx[8], indx[23]] = k[53]*y[:,7]
    dfdy[indx[8], indx[24]] = 0
    dfdy[indx[8], indx[25]] = 0
    dfdy[indx[8], indx[26]] = 0
    dfdy[indx[8], indx[27]] = -k[327]*y[:,8] + k[337]*y[:,14]
    dfdy[indx[8], indx[28]] = 0
    dfdy[indx[8], indx[29]] = 0
    dfdy[indx[8], indx[30]] = k[344]*y[:,0]
    dfdy[indx[8], indx[31]] = 0
    dfdy[indx[8], indx[32]] = 0
    dfdy[indx[8], indx[33]] = 0
    dfdy[indx[8], indx[34]] = 0
    dfdy[indx[8], indx[35]] = 0
    dfdy[indx[8], indx[36]] = 0
    dfdy[indx[8], indx[37]] = 0
    dfdy[indx[8], indx[38]] = 0
    dfdy[indx[8], indx[39]] = 0
    dfdy[indx[8], indx[40]] = 0
    dfdy[indx[8], indx[41]] = 0
    dfdy[indx[8], indx[42]] = 0
    dfdy[indx[8], indx[43]] = 0
    dfdy[indx[8], indx[44]] = 0
    dfdy[indx[8], indx[45]] = 0
    dfdy[indx[8], indx[46]] = 0
    dfdy[indx[8], indx[47]] = 0
    dfdy[indx[8], indx[48]] = 0
    dfdy[indx[8], indx[49]] = 0
    dfdy[indx[8], indx[50]] = k[655]
    dfdy[indx[8], indx[51]] = 0
    dfdy[indx[8], indx[52]] = 0
    dfdy[indx[9], indx[0]] = -k[44]*y[:,9] - k[48]*y[:,9] - k[78]*y[:,9]
    dfdy[indx[9], indx[1]] = -M*k[533]*y[:,9] + k[105]*y[:,13] + k[225]*y[:,22] + k[247]*y[:,17] + k[249]*y[:,19] + 2*k[251]*y[:,19] + k[253]*y[:,4] + k[255]*y[:,6] + k[257]*y[:,20] + k[451]*y[:,33] + k[57]*y[:,7] + k[83]*y[:,15]
    dfdy[indx[9], indx[2]] = -M*k[465]*y[:,9] - 2*k[122]*y[:,9]**2 - 2*k[142]*y[:,9]**2 - k[148]*y[:,9] - k[14]*y[:,15]*y[:,9] - 2*k[168]*y[:,9]**2 - k[172]*y[:,9] + k[316]*y[:,19] - 2*k[318]*y[:,2]*y[:,9] + k[342]*y[:,22] + k[444]*y[:,17]*y[:,20] - k[620]*y[:,9] + k[72]*y[:,20] - k[74]*y[:,9]**2 - k[76]*y[:,9] + k[77]*y[:,13]
    dfdy[indx[9], indx[3]] = -k[104]*y[:,9] - k[106]*y[:,9] - k[134]*y[:,9] + k[428]*y[:,20]
    dfdy[indx[9], indx[4]] = -M*k[549]*y[:,9] + M*k[558] + k[115]*y[:,13] + k[145]*y[:,10] + 2*k[167]*y[:,16] + k[199]*y[:,11] + k[231]*y[:,22] + 2*k[241]*y[:,23] + k[253]*y[:,1] + k[269]*y[:,17] + 2*k[279]*y[:,19] + k[289]*y[:,6] + k[291]*y[:,20] - k[293]*y[:,9] - 2*k[584]*y[:,9]**2 - k[590]*y[:,9]
    dfdy[indx[9], indx[5]] = M*k[460] - k[112]*y[:,9] - k[116]*y[:,9] + k[13]*y[:,13] - k[140]*y[:,9] - k[164]*y[:,9] - k[31]*y[:,9] - k[450]*y[:,15]*y[:,9] + k[623] - k[86]*y[:,9]
    dfdy[indx[9], indx[6]] = -M*k[555]*y[:,9] - M*k[557]*y[:,9] + k[117]*y[:,13] + 2*k[121]*y[:,13] + k[147]*y[:,10] + k[171]*y[:,16] + k[185]*y[:,21] + k[233]*y[:,22] + k[243]*y[:,23] + k[255]*y[:,1] + k[261]*y[:,18] + 2*k[273]*y[:,17] + k[281]*y[:,19] + 2*k[283]*y[:,19] + k[286]*y[:,20] + k[289]*y[:,4] + k[294]*y[:,20] + 2*k[297]*y[:,6] - k[299]*y[:,9] + k[389]*y[:,40] - k[586]*y[:,20]*y[:,9] - k[658]*y[:,9] + k[659] + k[85]*y[:,15]
    dfdy[indx[9], indx[7]] = -M*k[459]*y[:,9] + M*k[466] - k[118]*y[:,9] - k[146]*y[:,9] - k[166]*y[:,9] + k[32]*y[:,20] + k[43]*y[:,10] + k[446]*y[:,18] + k[47]*y[:,16] + k[53]*y[:,23] + k[57]*y[:,1] + k[619] - k[624]*y[:,9] - k[71]*y[:,9] + k[73]*y[:,9] + k[75]
    dfdy[indx[9], indx[8]] = -k[341]*y[:,9] - k[54]*y[:,9] - k[58]*y[:,9] - k[656]*y[:,9] - k[7]*y[:,9] - k[90]*y[:,9]
    dfdy[indx[9], indx[9]] = -M*k[459]*y[:,7] - M*k[465]*y[:,2] - M*k[477]*y[:,13] - M*k[489]*y[:,10] - M*k[505]*y[:,16] - M*k[519]*y[:,14] - M*k[525]*y[:,23] - M*k[533]*y[:,1] - M*k[539]*y[:,17] - M*k[543]*y[:,19] - M*k[549]*y[:,4] - M*k[555]*y[:,6] - M*k[557]*y[:,6] - 4*M*k[559]*y[:,9] - M*k[565]*y[:,35] - M*k[569]*y[:,27] - k[100]*y[:,25] - k[104]*y[:,3] - k[106]*y[:,3] - k[112]*y[:,5] - k[116]*y[:,5] - k[118]*y[:,7] - 4*k[122]*y[:,2]*y[:,9] - k[124]*y[:,15] - k[126]*y[:,28] - k[134]*y[:,3] - k[140]*y[:,5] - 4*k[142]*y[:,2]*y[:,9] - k[146]*y[:,7] - k[148]*y[:,2] - k[14]*y[:,15]*y[:,2] - k[152]*y[:,13] - k[156]*y[:,28] - k[164]*y[:,5] - k[166]*y[:,7] - 4*k[168]*y[:,2]*y[:,9] - k[172]*y[:,2] - k[174]*y[:,13] - k[186]*y[:,31] - k[191]*y[:,21] - k[194]*y[:,11] - k[196]*y[:,32] - k[200]*y[:,31] - k[218]*y[:,11] - 4*k[220]*y[:,30]*y[:,9] - k[224]*y[:,30] - k[226]*y[:,30] - k[230]*y[:,21] - k[232]*y[:,21] - k[234]*y[:,11] - k[235]*y[:,22] - k[238]*y[:,21] - k[240]*y[:,11] - 4*k[242]*y[:,14]*y[:,9] - k[244]*y[:,14] - k[248]*y[:,21] - k[250]*y[:,11] - 4*k[252]*y[:,14]*y[:,9] - k[254]*y[:,11] - k[256]*y[:,14] - k[258]*y[:,22] - k[262]*y[:,33] - k[263]*y[:,18] - k[268]*y[:,33] - k[270]*y[:,33] - 4*k[274]*y[:,34]*y[:,9] - k[275]*y[:,17] - 4*k[280]*y[:,34]*y[:,9] - k[282]*y[:,34] - 4*k[284]*y[:,35]*y[:,9] - k[285]*y[:,19] - k[290]*y[:,34] - k[292]*y[:,17] - k[293]*y[:,4] - k[298]*y[:,35] - k[299]*y[:,6] - k[307]*y[:,36] - k[309]*y[:,36] - k[311]*y[:,36] - k[315]*y[:,37] - k[318]*y[:,2]**2 - k[31]*y[:,5] - k[341]*y[:,8] - k[352]*y[:,34] - k[362]*y[:,38] - k[372]*y[:,15]*y[:,34] - k[374]*y[:,18]*y[:,34] - k[376]*y[:,39] - k[378]*y[:,11]*y[:,34] - k[380]*y[:,17]*y[:,33] - k[382]*y[:,13]*y[:,33] - k[386]*y[:,15]*y[:,33] - k[390]*y[:,41] - k[392]*y[:,18]*y[:,33] - k[394]*y[:,33]*y[:,34] - k[396]*y[:,11]*y[:,33] - k[398]*y[:,13]*y[:,33] - k[404]*y[:,38] - k[406]*y[:,25] - k[420]*y[:,43] - k[422]*y[:,33]*y[:,43] - k[427]*y[:,25] - k[443]*y[:,44] - k[445]*y[:,44] - k[44]*y[:,0] - k[450]*y[:,15]*y[:,5] - k[452]*y[:,46] - k[454]*y[:,34]*y[:,46] - k[48]*y[:,0] - k[54]*y[:,8] - k[574]*y[:,13] - 4*k[578]*y[:,10]*y[:,9] - k[580]*y[:,17] - 4*k[584]*y[:,4]*y[:,9] - k[586]*y[:,20]*y[:,6] - k[58]*y[:,8] - k[590]*y[:,4] - 4*k[594]*y[:,9] - k[596]*y[:,35] - 4*k[604]*y[:,34]*y[:,9] - k[606]*y[:,48] - 4*k[610]*y[:,33]*y[:,9] - k[618]*y[:,10] - k[620]*y[:,2] - k[624]*y[:,7] - k[634]*y[:,49] - k[646]*y[:,24] - 4*k[648]*y[:,22]*y[:,9] - k[650]*y[:,14] - k[656]*y[:,8] - k[658]*y[:,6] - k[660]*y[:,29] - k[71]*y[:,7] + k[73]*y[:,7] - 2*k[74]*y[:,2]*y[:,9] - k[76]*y[:,2] - k[78]*y[:,0] - k[7]*y[:,8] - k[84]*y[:,25] - k[86]*y[:,5] - k[88]*y[:,26] - k[90]*y[:,8] - k[96]*y[:,27] - k[98]*y[:,27]
    dfdy[indx[9], indx[10]] = -M*k[489]*y[:,9] + k[125]*y[:,21] + k[133]*y[:,22] + k[139]*y[:,17] + 2*k[141]*y[:,19] + k[145]*y[:,4] + k[147]*y[:,6] + k[151]*y[:,20] + k[308]*y[:,15] + k[317]*y[:,37] + k[381]*y[:,40] + k[405]*y[:,24] + k[43]*y[:,7] - 2*k[578]*y[:,9]**2 - k[618]*y[:,9] + k[8]*y[:,11] + k[95]*y[:,13]
    dfdy[indx[9], indx[11]] = M*k[520] + k[192]*y[:,20] - k[194]*y[:,9] + k[195]*y[:,14] + k[199]*y[:,4] - k[218]*y[:,9] - k[234]*y[:,9] - k[240]*y[:,9] - k[250]*y[:,9] - k[254]*y[:,9] - k[378]*y[:,34]*y[:,9] - k[396]*y[:,33]*y[:,9] + k[403]*y[:,35] + k[649] + k[87]*y[:,13] + k[8]*y[:,10]
    dfdy[indx[9], indx[12]] = 0
    dfdy[indx[9], indx[13]] = -M*k[477]*y[:,9] + M*k[490] + M*k[506] + k[103]*y[:,23] + k[105]*y[:,1] + k[111]*y[:,19] + k[115]*y[:,4] + k[117]*y[:,6] + 2*k[121]*y[:,6] + k[123]*y[:,20] + k[13]*y[:,5] - k[152]*y[:,9] - k[174]*y[:,9] + 2*k[310]*y[:,13] + k[371]*y[:,33] - k[382]*y[:,33]*y[:,9] + k[385]*y[:,40] - k[398]*y[:,33]*y[:,9] + k[449]*y[:,45] - k[574]*y[:,9] + k[617] + k[77]*y[:,2] + k[87]*y[:,11] + k[89]*y[:,14] + k[95]*y[:,10] + k[97]*y[:,16] + k[99]*y[:,22]
    dfdy[indx[9], indx[14]] = -M*k[519]*y[:,9] + k[195]*y[:,11] + k[217]*y[:,20] - 2*k[242]*y[:,9]**2 - k[244]*y[:,9] - 2*k[252]*y[:,9]**2 - k[256]*y[:,9] + k[361]*y[:,34] + k[375]*y[:,33] + k[377]*y[:,33] + k[395]*y[:,40] + k[453]*y[:,41] - k[650]*y[:,9] + k[89]*y[:,13]
    dfdy[indx[9], indx[15]] = M*k[478] - k[124]*y[:,9] - k[14]*y[:,2]*y[:,9] + k[308]*y[:,10] - k[372]*y[:,34]*y[:,9] - k[386]*y[:,33]*y[:,9] - k[450]*y[:,5]*y[:,9] + k[573] + 2*k[577] + k[83]*y[:,1] + k[85]*y[:,6]
    dfdy[indx[9], indx[16]] = -M*k[505]*y[:,9] + k[155]*y[:,21] + k[163]*y[:,17] + k[165]*y[:,19] + 2*k[167]*y[:,4] + k[171]*y[:,6] + k[173]*y[:,20] + k[397]*y[:,40] + k[47]*y[:,7] + k[97]*y[:,13]
    dfdy[indx[9], indx[17]] = -M*k[539]*y[:,9] + M*k[544] + M*k[550] + k[139]*y[:,10] + k[163]*y[:,16] + k[237]*y[:,23] + k[247]*y[:,1] + k[264]*y[:,20] + k[267]*y[:,19] + k[269]*y[:,4] + 2*k[273]*y[:,6] - k[275]*y[:,9] - k[292]*y[:,9] + k[373]*y[:,33] - k[380]*y[:,33]*y[:,9] + k[391]*y[:,40] + k[444]*y[:,20]*y[:,2] - k[580]*y[:,9] + k[589]
    dfdy[indx[9], indx[18]] = M*k[540] + k[261]*y[:,6] - k[263]*y[:,9] - k[374]*y[:,34]*y[:,9] - k[392]*y[:,33]*y[:,9] + k[446]*y[:,7] + k[579] + 2*k[583] + k[585]
    dfdy[indx[9], indx[19]] = -M*k[543]*y[:,9] + M*k[556] + k[111]*y[:,13] + 2*k[141]*y[:,10] + k[165]*y[:,16] + k[229]*y[:,22] + k[239]*y[:,23] + k[249]*y[:,1] + 2*k[251]*y[:,1] + k[267]*y[:,17] + k[276]*y[:,20] + 2*k[279]*y[:,4] + k[281]*y[:,6] + 2*k[283]*y[:,6] - k[285]*y[:,9] + k[316]*y[:,2] + k[379]*y[:,40] + k[657]
    dfdy[indx[9], indx[20]] = 2*M*k[560] + k[123]*y[:,13] + k[151]*y[:,10] + k[173]*y[:,16] + k[192]*y[:,11] + k[217]*y[:,14] + k[236]*y[:,23] + k[257]*y[:,1] + k[264]*y[:,17] + k[276]*y[:,19] + k[286]*y[:,6] + k[291]*y[:,4] + k[294]*y[:,6] + k[300]*y[:,29] + k[312]*y[:,27] + k[32]*y[:,7] + k[351]*y[:,35] + k[419]*y[:,24] + k[428]*y[:,3] + k[444]*y[:,17]*y[:,2] - k[586]*y[:,6]*y[:,9] + 2*k[593] + k[72]*y[:,2]
    dfdy[indx[9], indx[21]] = k[125]*y[:,10] + k[155]*y[:,16] + k[185]*y[:,6] - k[191]*y[:,9] + k[193] - k[230]*y[:,9] - k[232]*y[:,9] - k[238]*y[:,9] - k[248]*y[:,9]
    dfdy[indx[9], indx[22]] = M*k[526] + M*k[534] + k[133]*y[:,10] + 4*k[219]*y[:,22] + k[223]*y[:,23] + k[225]*y[:,1] + k[229]*y[:,19] + k[231]*y[:,4] + k[233]*y[:,6] - k[235]*y[:,9] - k[258]*y[:,9] + k[342]*y[:,2] - 2*k[648]*y[:,9]**2 + k[99]*y[:,13]
    dfdy[indx[9], indx[23]] = -M*k[525]*y[:,9] + k[103]*y[:,13] + k[223]*y[:,22] + k[236]*y[:,20] + k[237]*y[:,17] + k[239]*y[:,19] + 2*k[241]*y[:,4] + k[243]*y[:,6] + k[53]*y[:,7]
    dfdy[indx[9], indx[24]] = k[405]*y[:,10] + k[419]*y[:,20] + k[421]*y[:,40] - k[646]*y[:,9]
    dfdy[indx[9], indx[25]] = -k[100]*y[:,9] - k[406]*y[:,9] - k[427]*y[:,9] - k[84]*y[:,9]
    dfdy[indx[9], indx[26]] = -k[88]*y[:,9]
    dfdy[indx[9], indx[27]] = -M*k[569]*y[:,9] + k[312]*y[:,20] - k[96]*y[:,9] - k[98]*y[:,9]
    dfdy[indx[9], indx[28]] = -k[126]*y[:,9] - k[156]*y[:,9]
    dfdy[indx[9], indx[29]] = k[300]*y[:,20] - k[660]*y[:,9]
    dfdy[indx[9], indx[30]] = -2*k[220]*y[:,9]**2 - k[224]*y[:,9] - k[226]*y[:,9]
    dfdy[indx[9], indx[31]] = -k[186]*y[:,9] - k[200]*y[:,9]
    dfdy[indx[9], indx[32]] = -k[196]*y[:,9]
    dfdy[indx[9], indx[33]] = -k[262]*y[:,9] - k[268]*y[:,9] - k[270]*y[:,9] + k[371]*y[:,13] + k[373]*y[:,17] + k[375]*y[:,14] + k[377]*y[:,14] - k[380]*y[:,17]*y[:,9] - k[382]*y[:,13]*y[:,9] - k[386]*y[:,15]*y[:,9] - k[392]*y[:,18]*y[:,9] - k[394]*y[:,34]*y[:,9] - k[396]*y[:,11]*y[:,9] - k[398]*y[:,13]*y[:,9] - k[422]*y[:,43]*y[:,9] + k[451]*y[:,1] + 2*k[603] + k[605] - 2*k[610]*y[:,9]**2
    dfdy[indx[9], indx[34]] = M*k[566] - 2*k[274]*y[:,9]**2 - 2*k[280]*y[:,9]**2 - k[282]*y[:,9] - k[290]*y[:,9] - k[352]*y[:,9] + k[361]*y[:,14] - k[372]*y[:,15]*y[:,9] - k[374]*y[:,18]*y[:,9] - k[378]*y[:,11]*y[:,9] - k[394]*y[:,33]*y[:,9] - k[454]*y[:,46]*y[:,9] + k[595] - 2*k[604]*y[:,9]**2
    dfdy[indx[9], indx[35]] = -M*k[565]*y[:,9] - 2*k[284]*y[:,9]**2 - k[298]*y[:,9] + k[351]*y[:,20] + k[393]*y[:,40] + k[403]*y[:,11] - k[596]*y[:,9]
    dfdy[indx[9], indx[36]] = M*k[570] - k[307]*y[:,9] - k[309]*y[:,9] - k[311]*y[:,9]
    dfdy[indx[9], indx[37]] = -k[315]*y[:,9] + k[317]*y[:,10]
    dfdy[indx[9], indx[38]] = -k[362]*y[:,9] - k[404]*y[:,9]
    dfdy[indx[9], indx[39]] = -k[376]*y[:,9]
    dfdy[indx[9], indx[40]] = k[379]*y[:,19] + k[381]*y[:,10] + k[385]*y[:,13] + k[389]*y[:,6] + k[391]*y[:,17] + k[393]*y[:,35] + k[395]*y[:,14] + k[397]*y[:,16] + k[421]*y[:,24] + 2*k[609]
    dfdy[indx[9], indx[41]] = -k[390]*y[:,9] + k[453]*y[:,14]
    dfdy[indx[9], indx[42]] = 0
    dfdy[indx[9], indx[43]] = -k[420]*y[:,9] - k[422]*y[:,33]*y[:,9] + k[645] + 2*k[647]
    dfdy[indx[9], indx[44]] = -k[443]*y[:,9] - k[445]*y[:,9]
    dfdy[indx[9], indx[45]] = k[449]*y[:,13] + k[633]
    dfdy[indx[9], indx[46]] = -k[452]*y[:,9] - k[454]*y[:,34]*y[:,9]
    dfdy[indx[9], indx[47]] = 0
    dfdy[indx[9], indx[48]] = -k[606]*y[:,9]
    dfdy[indx[9], indx[49]] = -k[634]*y[:,9]
    dfdy[indx[9], indx[50]] = k[655]
    dfdy[indx[9], indx[51]] = 0
    dfdy[indx[9], indx[52]] = 0
    dfdy[indx[10], indx[0]] = k[44]*y[:,9] + k[597]
    dfdy[indx[10], indx[1]] = k[132]*y[:,2] + k[347]*y[:,3]
    dfdy[indx[10], indx[2]] = k[130]*y[:,23] + k[132]*y[:,1] + k[142]*y[:,9]**2 + k[144]*y[:,20] + k[148]*y[:,9] - k[302]*y[:,10] + 2*k[318]*y[:,2]*y[:,9] + k[324]*y[:,6] + k[340]*y[:,3] + k[360]*y[:,19] + k[46]*y[:,13] + k[591] - k[598]*y[:,10]
    dfdy[indx[10], indx[3]] = M*k[484] + k[134]*y[:,9] + k[303]*y[:,29] + k[340]*y[:,2] + k[345]*y[:,23] + k[347]*y[:,1] - k[350]*y[:,10] + k[410]*y[:,20] + k[426]*y[:,13] + k[651]
    dfdy[indx[10], indx[4]] = -k[145]*y[:,10]
    dfdy[indx[10], indx[5]] = M*k[486] + k[140]*y[:,9] - k[17]*y[:,10] + k[368]*y[:,19]
    dfdy[indx[10], indx[6]] = -M*k[487]*y[:,10] - k[147]*y[:,10] - k[149]*y[:,10] + k[324]*y[:,2]
    dfdy[indx[10], indx[7]] = M*k[488] + k[146]*y[:,9] + k[18]*y[:,13] + k[366]*y[:,17] - k[43]*y[:,10] - k[45]*y[:,10]
    dfdy[indx[10], indx[8]] = M*k[480] - k[338]*y[:,10] - k[339]*y[:,10] + k[7]*y[:,9]
    dfdy[indx[10], indx[9]] = -M*k[489]*y[:,10] + k[126]*y[:,28] + k[134]*y[:,3] + k[140]*y[:,5] + 2*k[142]*y[:,2]*y[:,9] + k[146]*y[:,7] + k[148]*y[:,2] + k[152]*y[:,13] + k[307]*y[:,36] + k[318]*y[:,2]**2 + k[382]*y[:,13]*y[:,33] + k[406]*y[:,25] + k[44]*y[:,0] - 2*k[578]*y[:,10]*y[:,9] - k[618]*y[:,10] + k[7]*y[:,8] + k[96]*y[:,27]
    dfdy[indx[10], indx[10]] = -M*k[471]*y[:,13] - M*k[479]*y[:,14] - 4*M*k[481]*y[:,10] - M*k[483]*y[:,23] - M*k[485]*y[:,19] - M*k[487]*y[:,6] - M*k[489]*y[:,9] - M*k[508] - k[125]*y[:,21] - k[127]*y[:,21] - k[129]*y[:,14] - k[131]*y[:,14] - k[133]*y[:,22] - k[135]*y[:,22] - k[137]*y[:,18] - k[139]*y[:,17] - k[141]*y[:,19] - k[143]*y[:,19] - k[145]*y[:,4] - k[147]*y[:,6] - k[149]*y[:,6] - k[151]*y[:,20] - k[154]*y[:,21] - k[17]*y[:,5] - k[302]*y[:,2] - k[304]*y[:,14] - k[305]*y[:,36] - k[308]*y[:,15] - k[317]*y[:,37] - k[323]*y[:,35] - k[334]*y[:,37] - k[338]*y[:,8] - k[339]*y[:,8] - k[346]*y[:,30] - k[348]*y[:,30] - k[350]*y[:,3] - k[354]*y[:,34] - k[359]*y[:,34] - k[365]*y[:,33] - k[367]*y[:,33] - k[381]*y[:,40] - k[400]*y[:,40] - k[405]*y[:,24] - k[407]*y[:,24] - k[409]*y[:,24] - k[425]*y[:,25] - k[435]*y[:,43] - k[43]*y[:,7] - k[45]*y[:,7] - k[578]*y[:,9]**2 - k[592]*y[:,29] - k[598]*y[:,2] - k[618]*y[:,9] - 4*k[626]*y[:,10] - k[628]*y[:,16] - k[640]*y[:,13] - k[652]*y[:,23] - k[8]*y[:,11] - k[92]*y[:,11] - k[94]*y[:,15] - k[95]*y[:,13]
    dfdy[indx[10], indx[11]] = k[128]*y[:,13] - k[8]*y[:,10] - k[92]*y[:,10]
    dfdy[indx[10], indx[12]] = 0
    dfdy[indx[10], indx[13]] = -M*k[471]*y[:,10] + M*k[490] + k[128]*y[:,11] + k[136]*y[:,23] + k[138]*y[:,17] + k[150]*y[:,29] + k[152]*y[:,9] + k[18]*y[:,7] + k[306]*y[:,27] + k[353]*y[:,35] + k[382]*y[:,33]*y[:,9] + k[408]*y[:,22] + k[426]*y[:,3] + k[436]*y[:,24] + k[46]*y[:,2] + k[617] - k[640]*y[:,10] + k[91]*y[:,14] + 2*k[93]*y[:,13] - k[95]*y[:,10]
    dfdy[indx[10], indx[14]] = -M*k[479]*y[:,10] - k[129]*y[:,10] - k[131]*y[:,10] - k[304]*y[:,10] + k[337]*y[:,27] + k[91]*y[:,13]
    dfdy[indx[10], indx[15]] = -k[308]*y[:,10] + k[577] - k[94]*y[:,10]
    dfdy[indx[10], indx[16]] = M*k[507] + k[153]*y[:,21] + k[399]*y[:,40] - k[628]*y[:,10]
    dfdy[indx[10], indx[17]] = k[138]*y[:,13] - k[139]*y[:,10] + k[366]*y[:,7]
    dfdy[indx[10], indx[18]] = -k[137]*y[:,10]
    dfdy[indx[10], indx[19]] = -M*k[485]*y[:,10] - k[141]*y[:,10] - k[143]*y[:,10] + k[360]*y[:,2] + k[368]*y[:,5]
    dfdy[indx[10], indx[20]] = k[144]*y[:,2] - k[151]*y[:,10] + k[410]*y[:,3]
    dfdy[indx[10], indx[21]] = -k[125]*y[:,10] - k[127]*y[:,10] + k[153]*y[:,16] - k[154]*y[:,10]
    dfdy[indx[10], indx[22]] = -k[133]*y[:,10] - k[135]*y[:,10] + k[408]*y[:,13]
    dfdy[indx[10], indx[23]] = -M*k[483]*y[:,10] + k[130]*y[:,2] + k[136]*y[:,13] + k[345]*y[:,3] + k[349]*y[:,27] - k[652]*y[:,10]
    dfdy[indx[10], indx[24]] = -k[405]*y[:,10] - k[407]*y[:,10] - k[409]*y[:,10] + k[436]*y[:,13]
    dfdy[indx[10], indx[25]] = k[406]*y[:,9] - k[425]*y[:,10]
    dfdy[indx[10], indx[26]] = 0
    dfdy[indx[10], indx[27]] = 2*M*k[482] + k[301]*y[:,29] + k[306]*y[:,13] + k[333]*y[:,35] + k[337]*y[:,14] + k[349]*y[:,23] + 2*k[625] + k[627] + k[96]*y[:,9]
    dfdy[indx[10], indx[28]] = k[126]*y[:,9]
    dfdy[indx[10], indx[29]] = k[150]*y[:,13] + k[301]*y[:,27] + k[303]*y[:,3] - k[592]*y[:,10]
    dfdy[indx[10], indx[30]] = -k[346]*y[:,10] - k[348]*y[:,10]
    dfdy[indx[10], indx[31]] = 0
    dfdy[indx[10], indx[32]] = 0
    dfdy[indx[10], indx[33]] = -k[365]*y[:,10] - k[367]*y[:,10] + k[382]*y[:,13]*y[:,9]
    dfdy[indx[10], indx[34]] = -k[354]*y[:,10] - k[359]*y[:,10]
    dfdy[indx[10], indx[35]] = -k[323]*y[:,10] + k[333]*y[:,27] + k[353]*y[:,13]
    dfdy[indx[10], indx[36]] = M*k[472] - k[305]*y[:,10] + k[307]*y[:,9] + k[639]
    dfdy[indx[10], indx[37]] = -k[317]*y[:,10] - k[334]*y[:,10]
    dfdy[indx[10], indx[38]] = 0
    dfdy[indx[10], indx[39]] = 0
    dfdy[indx[10], indx[40]] = -k[381]*y[:,10] + k[399]*y[:,16] - k[400]*y[:,10]
    dfdy[indx[10], indx[41]] = 0
    dfdy[indx[10], indx[42]] = 0
    dfdy[indx[10], indx[43]] = -k[435]*y[:,10]
    dfdy[indx[10], indx[44]] = 0
    dfdy[indx[10], indx[45]] = 0
    dfdy[indx[10], indx[46]] = 0
    dfdy[indx[10], indx[47]] = 0
    dfdy[indx[10], indx[48]] = 0
    dfdy[indx[10], indx[49]] = 0
    dfdy[indx[10], indx[50]] = 0
    dfdy[indx[10], indx[51]] = 0
    dfdy[indx[10], indx[52]] = 0
    dfdy[indx[11], indx[0]] = -k[320]*y[:,11]
    dfdy[indx[11], indx[1]] = -k[197]*y[:,11] + k[249]*y[:,19] + k[253]*y[:,4]
    dfdy[indx[11], indx[2]] = -k[40]*y[:,11]
    dfdy[indx[11], indx[3]] = k[319]*y[:,37] - k[434]*y[:,11]
    dfdy[indx[11], indx[4]] = -k[190]*y[:,11] - k[199]*y[:,11] + k[253]*y[:,1]
    dfdy[indx[11], indx[5]] = k[11]*y[:,14] - k[34]*y[:,11]
    dfdy[indx[11], indx[6]] = -M*k[509]*y[:,11] + k[187]*y[:,21] + k[189]*y[:,21] + k[198]*y[:,30] + k[215]*y[:,14] + k[233]*y[:,22]
    dfdy[indx[11], indx[7]] = -k[12]*y[:,11] + k[33]*y[:,21] + k[39]*y[:,14] - k[442]*y[:,11]*y[:,20]
    dfdy[indx[11], indx[8]] = k[7]*y[:,9]
    dfdy[indx[11], indx[9]] = M*k[519]*y[:,14] + k[191]*y[:,21] - k[194]*y[:,11] + k[196]*y[:,32] + k[200]*y[:,31] - k[218]*y[:,11] - k[234]*y[:,11] - k[240]*y[:,11] - k[250]*y[:,11] - k[254]*y[:,11] - k[378]*y[:,11]*y[:,34] - k[396]*y[:,11]*y[:,33] + k[404]*y[:,38] + k[650]*y[:,14] + k[7]*y[:,8] + k[88]*y[:,26]
    dfdy[indx[11], indx[10]] = k[127]*y[:,21] - k[8]*y[:,11] - k[92]*y[:,11]
    dfdy[indx[11], indx[11]] = -M*k[491]*y[:,16] - M*k[509]*y[:,6] - M*k[520] - k[128]*y[:,13] - k[12]*y[:,7] - k[158]*y[:,13] - k[176]*y[:,24] - k[180]*y[:,22] - k[188]*y[:,19] - k[190]*y[:,4] - k[192]*y[:,20] - k[194]*y[:,9] - k[195]*y[:,14] - k[197]*y[:,1] - k[199]*y[:,4] - k[204]*y[:,23] - k[212]*y[:,17] - k[214]*y[:,19] - k[216]*y[:,29] - k[218]*y[:,9] - k[234]*y[:,9] - k[240]*y[:,9] - k[250]*y[:,9] - k[254]*y[:,9] - k[320]*y[:,0] - k[34]*y[:,5] - k[364]*y[:,35] - k[370]*y[:,17] - k[378]*y[:,34]*y[:,9] - k[396]*y[:,33]*y[:,9] - k[403]*y[:,35] - k[40]*y[:,2] - k[434]*y[:,3] - k[440]*y[:,24] - k[442]*y[:,20]*y[:,7] - k[649] - k[663] - k[82]*y[:,13] - k[87]*y[:,13] - k[8]*y[:,10] - k[92]*y[:,10]
    dfdy[indx[11], indx[12]] = 0
    dfdy[indx[11], indx[13]] = -k[128]*y[:,11] - k[158]*y[:,11] - k[82]*y[:,11] - k[87]*y[:,11] + k[91]*y[:,14]
    dfdy[indx[11], indx[14]] = M*k[519]*y[:,9] + k[11]*y[:,5] - k[195]*y[:,11] + k[203]*y[:,22] + k[211]*y[:,18] + k[213]*y[:,17] + k[215]*y[:,6] + k[217]*y[:,20] + k[363]*y[:,34] + k[377]*y[:,33] + k[395]*y[:,40] + k[39]*y[:,7] + k[433]*y[:,25] + k[439]*y[:,43] + k[650]*y[:,9] + k[81]*y[:,15] + k[91]*y[:,13]
    dfdy[indx[11], indx[15]] = k[81]*y[:,14]
    dfdy[indx[11], indx[16]] = -M*k[491]*y[:,11] + k[157]*y[:,21]
    dfdy[indx[11], indx[17]] = -k[212]*y[:,11] + k[213]*y[:,14] - k[370]*y[:,11]
    dfdy[indx[11], indx[18]] = k[211]*y[:,14]
    dfdy[indx[11], indx[19]] = -k[188]*y[:,11] - k[214]*y[:,11] + k[239]*y[:,23] + k[249]*y[:,1]
    dfdy[indx[11], indx[20]] = -k[192]*y[:,11] + k[217]*y[:,14] - k[442]*y[:,11]*y[:,7]
    dfdy[indx[11], indx[21]] = k[127]*y[:,10] + k[157]*y[:,16] + k[175]*y[:,22] + k[179]*y[:,23] + k[187]*y[:,6] + k[189]*y[:,6] + k[191]*y[:,9] + k[193] + k[33]*y[:,7]
    dfdy[indx[11], indx[22]] = k[175]*y[:,21] - k[180]*y[:,11] + k[203]*y[:,14] + k[233]*y[:,6]
    dfdy[indx[11], indx[23]] = k[179]*y[:,21] - k[204]*y[:,11] + k[239]*y[:,19] + k[369]*y[:,33] + k[441]*y[:,44]
    dfdy[indx[11], indx[24]] = -k[176]*y[:,11] - k[440]*y[:,11]
    dfdy[indx[11], indx[25]] = k[433]*y[:,14]
    dfdy[indx[11], indx[26]] = k[88]*y[:,9]
    dfdy[indx[11], indx[27]] = 0
    dfdy[indx[11], indx[28]] = M*k[492]
    dfdy[indx[11], indx[29]] = -k[216]*y[:,11]
    dfdy[indx[11], indx[30]] = k[198]*y[:,6]
    dfdy[indx[11], indx[31]] = M*k[510] + k[200]*y[:,9]
    dfdy[indx[11], indx[32]] = k[196]*y[:,9]
    dfdy[indx[11], indx[33]] = k[369]*y[:,23] + k[377]*y[:,14] - k[396]*y[:,11]*y[:,9]
    dfdy[indx[11], indx[34]] = k[363]*y[:,14] - k[378]*y[:,11]*y[:,9]
    dfdy[indx[11], indx[35]] = -k[364]*y[:,11] - k[403]*y[:,11]
    dfdy[indx[11], indx[36]] = 0
    dfdy[indx[11], indx[37]] = k[319]*y[:,3]
    dfdy[indx[11], indx[38]] = k[404]*y[:,9]
    dfdy[indx[11], indx[39]] = 0
    dfdy[indx[11], indx[40]] = k[395]*y[:,14]
    dfdy[indx[11], indx[41]] = 0
    dfdy[indx[11], indx[42]] = 0
    dfdy[indx[11], indx[43]] = k[439]*y[:,14]
    dfdy[indx[11], indx[44]] = k[441]*y[:,23]
    dfdy[indx[11], indx[45]] = 0
    dfdy[indx[11], indx[46]] = 0
    dfdy[indx[11], indx[47]] = 0
    dfdy[indx[11], indx[48]] = 0
    dfdy[indx[11], indx[49]] = 0
    dfdy[indx[11], indx[50]] = 0
    dfdy[indx[11], indx[51]] = 0
    dfdy[indx[11], indx[52]] = k[664]
    dfdy[indx[12], indx[0]] = 0
    dfdy[indx[12], indx[1]] = 0
    dfdy[indx[12], indx[2]] = 0
    dfdy[indx[12], indx[3]] = 0
    dfdy[indx[12], indx[4]] = 0
    dfdy[indx[12], indx[5]] = 0
    dfdy[indx[12], indx[6]] = 0
    dfdy[indx[12], indx[7]] = 0
    dfdy[indx[12], indx[8]] = 0
    dfdy[indx[12], indx[9]] = 0
    dfdy[indx[12], indx[10]] = 0
    dfdy[indx[12], indx[11]] = 0
    dfdy[indx[12], indx[12]] = -M*k[470] - k[641] - k[9]
    dfdy[indx[12], indx[13]] = 2*M*k[469]*y[:,13] + 2*k[10]*y[:,13] + 2*k[642]*y[:,13]
    dfdy[indx[12], indx[14]] = 0
    dfdy[indx[12], indx[15]] = 0
    dfdy[indx[12], indx[16]] = 0
    dfdy[indx[12], indx[17]] = 0
    dfdy[indx[12], indx[18]] = 0
    dfdy[indx[12], indx[19]] = 0
    dfdy[indx[12], indx[20]] = 0
    dfdy[indx[12], indx[21]] = 0
    dfdy[indx[12], indx[22]] = 0
    dfdy[indx[12], indx[23]] = 0
    dfdy[indx[12], indx[24]] = 0
    dfdy[indx[12], indx[25]] = 0
    dfdy[indx[12], indx[26]] = 0
    dfdy[indx[12], indx[27]] = 0
    dfdy[indx[12], indx[28]] = 0
    dfdy[indx[12], indx[29]] = 0
    dfdy[indx[12], indx[30]] = 0
    dfdy[indx[12], indx[31]] = 0
    dfdy[indx[12], indx[32]] = 0
    dfdy[indx[12], indx[33]] = 0
    dfdy[indx[12], indx[34]] = 0
    dfdy[indx[12], indx[35]] = 0
    dfdy[indx[12], indx[36]] = 0
    dfdy[indx[12], indx[37]] = 0
    dfdy[indx[12], indx[38]] = 0
    dfdy[indx[12], indx[39]] = 0
    dfdy[indx[12], indx[40]] = 0
    dfdy[indx[12], indx[41]] = 0
    dfdy[indx[12], indx[42]] = 0
    dfdy[indx[12], indx[43]] = 0
    dfdy[indx[12], indx[44]] = 0
    dfdy[indx[12], indx[45]] = 0
    dfdy[indx[12], indx[46]] = 0
    dfdy[indx[12], indx[47]] = 0
    dfdy[indx[12], indx[48]] = 0
    dfdy[indx[12], indx[49]] = 0
    dfdy[indx[12], indx[50]] = 0
    dfdy[indx[12], indx[51]] = 0
    dfdy[indx[12], indx[52]] = 0
    dfdy[indx[13], indx[0]] = k[78]*y[:,9]
    dfdy[indx[13], indx[1]] = -k[105]*y[:,13]
    dfdy[indx[13], indx[2]] = k[120]*y[:,20] + k[122]*y[:,9]**2 + k[14]*y[:,15]*y[:,9] - k[330]*y[:,13] + k[356]*y[:,19] + k[42]*y[:,15] - k[46]*y[:,13] - k[77]*y[:,13]
    dfdy[indx[13], indx[3]] = k[104]*y[:,9] + k[106]*y[:,9] - k[426]*y[:,13] + k[430]*y[:,15]
    dfdy[indx[13], indx[4]] = -k[115]*y[:,13]
    dfdy[indx[13], indx[5]] = k[112]*y[:,9] + k[116]*y[:,9] - k[13]*y[:,13] - k[15]*y[:,13] + k[17]*y[:,10] + k[19]*y[:,16] + k[450]*y[:,15]*y[:,9]
    dfdy[indx[13], indx[6]] = k[114]*y[:,15] - k[117]*y[:,13] - k[119]*y[:,13] - k[121]*y[:,13] + k[149]*y[:,10] + k[329]*y[:,27]
    dfdy[indx[13], indx[7]] = k[118]*y[:,9] + k[16]*y[:,15] - k[18]*y[:,13] - k[20]*y[:,13] - k[41]*y[:,13] + k[45]*y[:,10]
    dfdy[indx[13], indx[8]] = k[90]*y[:,9]
    dfdy[indx[13], indx[9]] = -M*k[477]*y[:,13] + M*k[489]*y[:,10] + M*k[505]*y[:,16] + k[100]*y[:,25] + k[104]*y[:,3] + k[106]*y[:,3] + k[112]*y[:,5] + k[116]*y[:,5] + k[118]*y[:,7] + 2*k[122]*y[:,2]*y[:,9] + k[124]*y[:,15] + k[14]*y[:,15]*y[:,2] - k[152]*y[:,13] - k[174]*y[:,13] + 2*k[309]*y[:,36] + k[372]*y[:,15]*y[:,34] - k[382]*y[:,13]*y[:,33] + k[386]*y[:,15]*y[:,33] - k[398]*y[:,13]*y[:,33] + k[450]*y[:,15]*y[:,5] - k[574]*y[:,13] + k[618]*y[:,10] + k[78]*y[:,0] + k[88]*y[:,26] + k[90]*y[:,8] + k[96]*y[:,27] + k[98]*y[:,27]
    dfdy[indx[13], indx[10]] = -M*k[471]*y[:,13] + M*k[489]*y[:,9] + k[127]*y[:,21] + k[135]*y[:,22] + k[137]*y[:,18] + k[149]*y[:,6] + k[151]*y[:,20] + k[17]*y[:,5] + k[305]*y[:,36] + k[354]*y[:,34] + k[381]*y[:,40] + k[407]*y[:,24] + k[425]*y[:,25] + k[435]*y[:,43] + k[45]*y[:,7] + k[618]*y[:,9] - k[640]*y[:,13] + k[92]*y[:,11] + 2*k[94]*y[:,15] - k[95]*y[:,13]
    dfdy[indx[13], indx[11]] = -k[128]*y[:,13] - k[158]*y[:,13] - k[82]*y[:,13] - k[87]*y[:,13] + k[92]*y[:,10]
    dfdy[indx[13], indx[12]] = 2*M*k[470] + 2*k[641] + 2*k[9]
    dfdy[indx[13], indx[13]] = -M*k[467]*y[:,14] - 4*M*k[469]*y[:,13] - M*k[471]*y[:,10] - M*k[473]*y[:,16] - M*k[475]*y[:,17] - M*k[477]*y[:,9] - M*k[490] - M*k[506] - k[101]*y[:,22] - k[103]*y[:,23] - k[105]*y[:,1] - k[107]*y[:,18] - k[109]*y[:,17] - 4*k[10]*y[:,13] - k[111]*y[:,19] - k[113]*y[:,19] - k[115]*y[:,4] - k[117]*y[:,6] - k[119]*y[:,6] - k[121]*y[:,6] - k[123]*y[:,20] - k[128]*y[:,11] - k[136]*y[:,23] - k[138]*y[:,17] - k[13]*y[:,5] - k[150]*y[:,29] - k[152]*y[:,9] - k[158]*y[:,11] - k[15]*y[:,5] - k[162]*y[:,17] - k[174]*y[:,9] - k[18]*y[:,7] - k[20]*y[:,7] - k[306]*y[:,27] - 4*k[310]*y[:,13] - k[313]*y[:,36] - k[330]*y[:,2] - k[353]*y[:,35] - k[355]*y[:,35] - k[358]*y[:,37] - k[371]*y[:,33] - k[382]*y[:,33]*y[:,9] - k[385]*y[:,40] - k[398]*y[:,33]*y[:,9] - k[408]*y[:,22] - k[413]*y[:,24] - k[41]*y[:,7] - k[426]*y[:,3] - k[429]*y[:,25] - k[436]*y[:,24] - k[437]*y[:,43] - k[449]*y[:,45] - k[46]*y[:,2] - k[574]*y[:,9] - k[617] - k[630]*y[:,17] - k[640]*y[:,10] - 4*k[642]*y[:,13] - k[77]*y[:,2] - 4*k[80]*y[:,13] - k[82]*y[:,11] - k[87]*y[:,11] - k[89]*y[:,14] - k[91]*y[:,14] - 4*k[93]*y[:,13] - k[95]*y[:,10] - k[97]*y[:,16] - k[99]*y[:,22]
    dfdy[indx[13], indx[14]] = -M*k[467]*y[:,13] + k[81]*y[:,15] - k[89]*y[:,13] - k[91]*y[:,13]
    dfdy[indx[13], indx[15]] = M*k[478] + k[102]*y[:,23] + k[108]*y[:,17] + k[110]*y[:,19] + k[114]*y[:,6] + k[124]*y[:,9] + k[14]*y[:,2]*y[:,9] + k[16]*y[:,7] + k[314]*y[:,27] + k[372]*y[:,34]*y[:,9] + k[386]*y[:,33]*y[:,9] + k[414]*y[:,22] + k[42]*y[:,2] + k[430]*y[:,3] + k[438]*y[:,24] + k[450]*y[:,5]*y[:,9] + k[573] + 2*k[79]*y[:,16] + k[81]*y[:,14] + 2*k[94]*y[:,10]
    dfdy[indx[13], indx[16]] = -M*k[473]*y[:,13] + M*k[505]*y[:,9] + k[157]*y[:,21] + k[161]*y[:,18] + k[173]*y[:,20] + k[19]*y[:,5] + k[397]*y[:,40] + 2*k[79]*y[:,15] - k[97]*y[:,13]
    dfdy[indx[13], indx[17]] = -M*k[475]*y[:,13] + k[108]*y[:,15] - k[109]*y[:,13] - k[138]*y[:,13] - k[162]*y[:,13] - k[630]*y[:,13]
    dfdy[indx[13], indx[18]] = -k[107]*y[:,13] + k[137]*y[:,10] + k[161]*y[:,16]
    dfdy[indx[13], indx[19]] = k[110]*y[:,15] - k[111]*y[:,13] - k[113]*y[:,13] + k[356]*y[:,2]
    dfdy[indx[13], indx[20]] = k[120]*y[:,2] - k[123]*y[:,13] + k[151]*y[:,10] + k[173]*y[:,16]
    dfdy[indx[13], indx[21]] = k[127]*y[:,10] + k[157]*y[:,16]
    dfdy[indx[13], indx[22]] = -k[101]*y[:,13] + k[135]*y[:,10] - k[408]*y[:,13] + k[414]*y[:,15] - k[99]*y[:,13]
    dfdy[indx[13], indx[23]] = k[102]*y[:,15] - k[103]*y[:,13] - k[136]*y[:,13]
    dfdy[indx[13], indx[24]] = k[407]*y[:,10] - k[413]*y[:,13] - k[436]*y[:,13] + k[438]*y[:,15]
    dfdy[indx[13], indx[25]] = k[100]*y[:,9] + k[425]*y[:,10] - k[429]*y[:,13]
    dfdy[indx[13], indx[26]] = M*k[468] + k[88]*y[:,9]
    dfdy[indx[13], indx[27]] = -k[306]*y[:,13] + k[314]*y[:,15] + k[329]*y[:,6] + k[96]*y[:,9] + k[98]*y[:,9]
    dfdy[indx[13], indx[28]] = 0
    dfdy[indx[13], indx[29]] = -k[150]*y[:,13]
    dfdy[indx[13], indx[30]] = 0
    dfdy[indx[13], indx[31]] = 0
    dfdy[indx[13], indx[32]] = 0
    dfdy[indx[13], indx[33]] = -k[371]*y[:,13] - k[382]*y[:,13]*y[:,9] + k[386]*y[:,15]*y[:,9] - k[398]*y[:,13]*y[:,9]
    dfdy[indx[13], indx[34]] = k[354]*y[:,10] + k[372]*y[:,15]*y[:,9]
    dfdy[indx[13], indx[35]] = -k[353]*y[:,13] - k[355]*y[:,13] + k[357]*y[:,36]
    dfdy[indx[13], indx[36]] = M*k[472] + M*k[474] + k[305]*y[:,10] + 2*k[309]*y[:,9] - k[313]*y[:,13] + k[357]*y[:,35] + k[639]
    dfdy[indx[13], indx[37]] = -k[358]*y[:,13]
    dfdy[indx[13], indx[38]] = 0
    dfdy[indx[13], indx[39]] = 0
    dfdy[indx[13], indx[40]] = k[381]*y[:,10] - k[385]*y[:,13] + k[397]*y[:,16]
    dfdy[indx[13], indx[41]] = 0
    dfdy[indx[13], indx[42]] = 0
    dfdy[indx[13], indx[43]] = k[435]*y[:,10] - k[437]*y[:,13]
    dfdy[indx[13], indx[44]] = 0
    dfdy[indx[13], indx[45]] = M*k[476] - k[449]*y[:,13] + k[629]
    dfdy[indx[13], indx[46]] = 0
    dfdy[indx[13], indx[47]] = 0
    dfdy[indx[13], indx[48]] = 0
    dfdy[indx[13], indx[49]] = 0
    dfdy[indx[13], indx[50]] = 0
    dfdy[indx[13], indx[51]] = 0
    dfdy[indx[13], indx[52]] = 0
    dfdy[indx[14], indx[0]] = 0
    dfdy[indx[14], indx[1]] = k[132]*y[:,2] + k[160]*y[:,2] - k[209]*y[:,14] + k[251]*y[:,19] + k[255]*y[:,6]
    dfdy[indx[14], indx[2]] = k[130]*y[:,23] + k[132]*y[:,1] + k[160]*y[:,1] + k[40]*y[:,11]
    dfdy[indx[14], indx[3]] = k[303]*y[:,29] + k[434]*y[:,11]
    dfdy[indx[14], indx[4]] = -M*k[517]*y[:,14] + k[241]*y[:,23]
    dfdy[indx[14], indx[5]] = -k[11]*y[:,14]
    dfdy[indx[14], indx[6]] = k[206]*y[:,30] - k[215]*y[:,14] + k[243]*y[:,23] + k[255]*y[:,1]
    dfdy[indx[14], indx[7]] = k[12]*y[:,11] - k[39]*y[:,14]
    dfdy[indx[14], indx[8]] = M*k[480] + M*k[494] + k[338]*y[:,10] + k[90]*y[:,9]
    dfdy[indx[14], indx[9]] = -M*k[519]*y[:,14] + k[196]*y[:,32] + k[218]*y[:,11] - 2*k[242]*y[:,14]*y[:,9] - k[244]*y[:,14] - 2*k[252]*y[:,14]*y[:,9] - k[256]*y[:,14] + k[362]*y[:,38] + k[376]*y[:,39] + k[378]*y[:,11]*y[:,34] + k[396]*y[:,11]*y[:,33] + k[454]*y[:,34]*y[:,46] - k[650]*y[:,14] + k[90]*y[:,8]
    dfdy[indx[14], indx[10]] = -M*k[479]*y[:,14] - k[129]*y[:,14] - k[131]*y[:,14] - k[304]*y[:,14] + k[338]*y[:,8] + k[92]*y[:,11]
    dfdy[indx[14], indx[11]] = M*k[520] + k[12]*y[:,7] - k[195]*y[:,14] + k[204]*y[:,23] + k[212]*y[:,17] + k[214]*y[:,19] + k[216]*y[:,29] + k[218]*y[:,9] + k[364]*y[:,35] + k[378]*y[:,34]*y[:,9] + k[396]*y[:,33]*y[:,9] + k[40]*y[:,2] + k[434]*y[:,3] + k[440]*y[:,24] + k[649] + k[82]*y[:,13] + k[92]*y[:,10]
    dfdy[indx[14], indx[12]] = 0
    dfdy[indx[14], indx[13]] = -M*k[467]*y[:,14] + k[82]*y[:,11] - k[89]*y[:,14] - k[91]*y[:,14]
    dfdy[indx[14], indx[14]] = -M*k[467]*y[:,13] - M*k[479]*y[:,10] - M*k[493]*y[:,16] - 4*M*k[511]*y[:,14] - M*k[513]*y[:,17] - M*k[515]*y[:,19] - M*k[517]*y[:,4] - M*k[519]*y[:,9] - k[11]*y[:,5] - k[129]*y[:,10] - k[131]*y[:,10] - k[159]*y[:,16] - k[195]*y[:,11] - k[203]*y[:,22] - k[205]*y[:,22] - k[207]*y[:,23] - k[209]*y[:,1] - k[211]*y[:,18] - k[213]*y[:,17] - k[215]*y[:,6] - k[217]*y[:,20] - k[242]*y[:,9]**2 - k[244]*y[:,9] - k[252]*y[:,9]**2 - k[256]*y[:,9] - k[304]*y[:,10] - k[337]*y[:,27] - k[361]*y[:,34] - k[363]*y[:,34] - k[375]*y[:,33] - k[377]*y[:,33] - k[395]*y[:,40] - k[39]*y[:,7] - k[433]*y[:,25] - k[439]*y[:,43] - k[453]*y[:,41] - k[650]*y[:,9] - k[81]*y[:,15] - k[89]*y[:,13] - k[91]*y[:,13]
    dfdy[indx[14], indx[15]] = -k[81]*y[:,14]
    dfdy[indx[14], indx[16]] = -M*k[493]*y[:,14] - k[159]*y[:,14]
    dfdy[indx[14], indx[17]] = -M*k[513]*y[:,14] + k[212]*y[:,11] - k[213]*y[:,14]
    dfdy[indx[14], indx[18]] = -k[211]*y[:,14]
    dfdy[indx[14], indx[19]] = -M*k[515]*y[:,14] + k[214]*y[:,11] + k[251]*y[:,1]
    dfdy[indx[14], indx[20]] = -k[217]*y[:,14]
    dfdy[indx[14], indx[21]] = 0
    dfdy[indx[14], indx[22]] = -k[203]*y[:,14] - k[205]*y[:,14]
    dfdy[indx[14], indx[23]] = k[130]*y[:,2] + k[204]*y[:,11] - k[207]*y[:,14] + k[241]*y[:,4] + k[243]*y[:,6]
    dfdy[indx[14], indx[24]] = k[440]*y[:,11]
    dfdy[indx[14], indx[25]] = -k[433]*y[:,14]
    dfdy[indx[14], indx[26]] = M*k[468]
    dfdy[indx[14], indx[27]] = -k[337]*y[:,14]
    dfdy[indx[14], indx[28]] = 0
    dfdy[indx[14], indx[29]] = k[208]*y[:,30] + k[210]*y[:,30] + k[216]*y[:,11] + k[303]*y[:,3]
    dfdy[indx[14], indx[30]] = k[206]*y[:,6] + k[208]*y[:,29] + k[210]*y[:,29]
    dfdy[indx[14], indx[31]] = M*k[516] + M*k[518]
    dfdy[indx[14], indx[32]] = 2*M*k[512] + k[196]*y[:,9]
    dfdy[indx[14], indx[33]] = -k[375]*y[:,14] - k[377]*y[:,14] + k[396]*y[:,11]*y[:,9]
    dfdy[indx[14], indx[34]] = -k[361]*y[:,14] - k[363]*y[:,14] + k[378]*y[:,11]*y[:,9] + k[454]*y[:,46]*y[:,9]
    dfdy[indx[14], indx[35]] = k[364]*y[:,11]
    dfdy[indx[14], indx[36]] = 0
    dfdy[indx[14], indx[37]] = 0
    dfdy[indx[14], indx[38]] = k[362]*y[:,9]
    dfdy[indx[14], indx[39]] = k[376]*y[:,9]
    dfdy[indx[14], indx[40]] = -k[395]*y[:,14]
    dfdy[indx[14], indx[41]] = -k[453]*y[:,14]
    dfdy[indx[14], indx[42]] = 0
    dfdy[indx[14], indx[43]] = -k[439]*y[:,14]
    dfdy[indx[14], indx[44]] = 0
    dfdy[indx[14], indx[45]] = 0
    dfdy[indx[14], indx[46]] = M*k[514] + k[454]*y[:,34]*y[:,9]
    dfdy[indx[14], indx[47]] = 0
    dfdy[indx[14], indx[48]] = 0
    dfdy[indx[14], indx[49]] = 0
    dfdy[indx[14], indx[50]] = 0
    dfdy[indx[14], indx[51]] = 0
    dfdy[indx[14], indx[52]] = 0
    dfdy[indx[15], indx[0]] = 0
    dfdy[indx[15], indx[1]] = -k[83]*y[:,15]
    dfdy[indx[15], indx[2]] = -k[14]*y[:,15]*y[:,9] - k[42]*y[:,15]
    dfdy[indx[15], indx[3]] = k[411]*y[:,24] - k[430]*y[:,15]
    dfdy[indx[15], indx[4]] = 0
    dfdy[indx[15], indx[5]] = k[13]*y[:,13] + k[15]*y[:,13] - k[450]*y[:,15]*y[:,9] + k[86]*y[:,9]
    dfdy[indx[15], indx[6]] = -k[114]*y[:,15] - k[85]*y[:,15]
    dfdy[indx[15], indx[7]] = -k[16]*y[:,15] + k[41]*y[:,13]
    dfdy[indx[15], indx[8]] = 0
    dfdy[indx[15], indx[9]] = M*k[477]*y[:,13] - k[124]*y[:,15] - k[14]*y[:,15]*y[:,2] + k[307]*y[:,36] - k[372]*y[:,15]*y[:,34] - k[386]*y[:,15]*y[:,33] - k[450]*y[:,15]*y[:,5] + k[574]*y[:,13] + 2*k[578]*y[:,10]*y[:,9] + k[84]*y[:,25] + k[86]*y[:,5]
    dfdy[indx[15], indx[10]] = -k[308]*y[:,15] + k[578]*y[:,9]**2 - k[94]*y[:,15]
    dfdy[indx[15], indx[11]] = k[82]*y[:,13]
    dfdy[indx[15], indx[12]] = 0
    dfdy[indx[15], indx[13]] = M*k[477]*y[:,9] + k[101]*y[:,22] + k[107]*y[:,18] + k[109]*y[:,17] + k[113]*y[:,19] + k[123]*y[:,20] + k[13]*y[:,5] + k[15]*y[:,5] + k[313]*y[:,36] + k[371]*y[:,33] + k[385]*y[:,40] + k[413]*y[:,24] + k[41]*y[:,7] + k[429]*y[:,25] + k[437]*y[:,43] + k[449]*y[:,45] + k[574]*y[:,9] + 2*k[80]*y[:,13] + k[82]*y[:,11] + 2*k[93]*y[:,13]
    dfdy[indx[15], indx[14]] = -k[81]*y[:,15]
    dfdy[indx[15], indx[15]] = -M*k[478] - M*k[504] - k[102]*y[:,23] - k[108]*y[:,17] - k[110]*y[:,19] - k[114]*y[:,6] - k[124]*y[:,9] - k[14]*y[:,2]*y[:,9] - k[16]*y[:,7] - k[308]*y[:,10] - k[314]*y[:,27] - k[372]*y[:,34]*y[:,9] - k[386]*y[:,33]*y[:,9] - k[412]*y[:,30] - k[414]*y[:,22] - k[416]*y[:,25] - k[42]*y[:,2] - k[430]*y[:,3] - k[438]*y[:,24] - k[450]*y[:,5]*y[:,9] - k[571] - k[573] - k[575] - k[577] - k[79]*y[:,16] - k[81]*y[:,14] - k[83]*y[:,1] - k[85]*y[:,6] - k[94]*y[:,10]
    dfdy[indx[15], indx[16]] = M*k[503]*y[:,20] + k[576]*y[:,20] - k[79]*y[:,15]
    dfdy[indx[15], indx[17]] = -k[108]*y[:,15] + k[109]*y[:,13]
    dfdy[indx[15], indx[18]] = k[107]*y[:,13]
    dfdy[indx[15], indx[19]] = -k[110]*y[:,15] + k[113]*y[:,13]
    dfdy[indx[15], indx[20]] = M*k[503]*y[:,16] + k[123]*y[:,13] + k[576]*y[:,16]
    dfdy[indx[15], indx[21]] = 0
    dfdy[indx[15], indx[22]] = k[101]*y[:,13] - k[414]*y[:,15]
    dfdy[indx[15], indx[23]] = -k[102]*y[:,15]
    dfdy[indx[15], indx[24]] = k[411]*y[:,3] + k[413]*y[:,13] + k[415]*y[:,36] - k[438]*y[:,15]
    dfdy[indx[15], indx[25]] = -k[416]*y[:,15] + k[429]*y[:,13] + k[84]*y[:,9]
    dfdy[indx[15], indx[26]] = 0
    dfdy[indx[15], indx[27]] = -k[314]*y[:,15]
    dfdy[indx[15], indx[28]] = 0
    dfdy[indx[15], indx[29]] = 0
    dfdy[indx[15], indx[30]] = -k[412]*y[:,15]
    dfdy[indx[15], indx[31]] = 0
    dfdy[indx[15], indx[32]] = 0
    dfdy[indx[15], indx[33]] = k[371]*y[:,13] - k[386]*y[:,15]*y[:,9]
    dfdy[indx[15], indx[34]] = -k[372]*y[:,15]*y[:,9]
    dfdy[indx[15], indx[35]] = 0
    dfdy[indx[15], indx[36]] = k[307]*y[:,9] + k[313]*y[:,13] + k[415]*y[:,24]
    dfdy[indx[15], indx[37]] = 0
    dfdy[indx[15], indx[38]] = 0
    dfdy[indx[15], indx[39]] = 0
    dfdy[indx[15], indx[40]] = k[385]*y[:,13]
    dfdy[indx[15], indx[41]] = 0
    dfdy[indx[15], indx[42]] = 0
    dfdy[indx[15], indx[43]] = k[437]*y[:,13]
    dfdy[indx[15], indx[44]] = 0
    dfdy[indx[15], indx[45]] = k[449]*y[:,13]
    dfdy[indx[15], indx[46]] = 0
    dfdy[indx[15], indx[47]] = k[572]
    dfdy[indx[15], indx[48]] = 0
    dfdy[indx[15], indx[49]] = 0
    dfdy[indx[15], indx[50]] = 0
    dfdy[indx[15], indx[51]] = 0
    dfdy[indx[15], indx[52]] = 0
    dfdy[indx[16], indx[0]] = M*k[462] + k[48]*y[:,9] + k[599]
    dfdy[indx[16], indx[1]] = k[160]*y[:,2]
    dfdy[indx[16], indx[2]] = -M*k[461]*y[:,16] + k[160]*y[:,1] + k[168]*y[:,9]**2 + k[170]*y[:,20] + k[172]*y[:,9] - k[600]*y[:,16]
    dfdy[indx[16], indx[3]] = 0
    dfdy[indx[16], indx[4]] = -M*k[499]*y[:,16] - k[167]*y[:,16] - k[169]*y[:,16]
    dfdy[indx[16], indx[5]] = M*k[500] + k[164]*y[:,9] - k[19]*y[:,16]
    dfdy[indx[16], indx[6]] = -M*k[501]*y[:,16] - k[171]*y[:,16]
    dfdy[indx[16], indx[7]] = M*k[502] + k[166]*y[:,9] + k[20]*y[:,13] - k[47]*y[:,16]
    dfdy[indx[16], indx[8]] = M*k[494]
    dfdy[indx[16], indx[9]] = -M*k[505]*y[:,16] + k[156]*y[:,28] + k[164]*y[:,5] + k[166]*y[:,7] + 2*k[168]*y[:,2]*y[:,9] + k[172]*y[:,2] + k[174]*y[:,13] + k[398]*y[:,13]*y[:,33] + k[48]*y[:,0] + k[98]*y[:,27]
    dfdy[indx[16], indx[10]] = M*k[508] + k[154]*y[:,21] + k[400]*y[:,40] - k[628]*y[:,16]
    dfdy[indx[16], indx[11]] = -M*k[491]*y[:,16] + k[158]*y[:,13]
    dfdy[indx[16], indx[12]] = 0
    dfdy[indx[16], indx[13]] = -M*k[473]*y[:,16] + M*k[506] + k[158]*y[:,11] + k[162]*y[:,17] + k[174]*y[:,9] + k[20]*y[:,7] + k[398]*y[:,33]*y[:,9] + 2*k[80]*y[:,13] - k[97]*y[:,16]
    dfdy[indx[16], indx[14]] = -M*k[493]*y[:,16] - k[159]*y[:,16]
    dfdy[indx[16], indx[15]] = M*k[504] + k[575] - k[79]*y[:,16]
    dfdy[indx[16], indx[16]] = -M*k[461]*y[:,2] - M*k[473]*y[:,13] - M*k[491]*y[:,11] - M*k[493]*y[:,14] - 4*M*k[495]*y[:,16] - M*k[497]*y[:,18] - M*k[499]*y[:,4] - M*k[501]*y[:,6] - M*k[503]*y[:,20] - M*k[505]*y[:,9] - M*k[507] - k[153]*y[:,21] - k[155]*y[:,21] - k[157]*y[:,21] - k[159]*y[:,14] - k[161]*y[:,18] - k[163]*y[:,17] - k[165]*y[:,19] - k[167]*y[:,4] - k[169]*y[:,4] - k[171]*y[:,6] - k[173]*y[:,20] - k[19]*y[:,5] - k[397]*y[:,40] - k[399]*y[:,40] - k[47]*y[:,7] - k[576]*y[:,20] - k[600]*y[:,2] - k[628]*y[:,10] - k[79]*y[:,15] - k[97]*y[:,13]
    dfdy[indx[16], indx[17]] = k[162]*y[:,13] - k[163]*y[:,16]
    dfdy[indx[16], indx[18]] = -M*k[497]*y[:,16] - k[161]*y[:,16]
    dfdy[indx[16], indx[19]] = -k[165]*y[:,16]
    dfdy[indx[16], indx[20]] = -M*k[503]*y[:,16] + k[170]*y[:,2] - k[173]*y[:,16] - k[576]*y[:,16]
    dfdy[indx[16], indx[21]] = -k[153]*y[:,16] + k[154]*y[:,10] - k[155]*y[:,16] - k[157]*y[:,16]
    dfdy[indx[16], indx[22]] = 0
    dfdy[indx[16], indx[23]] = 0
    dfdy[indx[16], indx[24]] = 0
    dfdy[indx[16], indx[25]] = 0
    dfdy[indx[16], indx[26]] = 0
    dfdy[indx[16], indx[27]] = 2*M*k[496] + k[627] + k[98]*y[:,9]
    dfdy[indx[16], indx[28]] = M*k[492] + k[156]*y[:,9]
    dfdy[indx[16], indx[29]] = 0
    dfdy[indx[16], indx[30]] = 0
    dfdy[indx[16], indx[31]] = 0
    dfdy[indx[16], indx[32]] = 0
    dfdy[indx[16], indx[33]] = k[398]*y[:,13]*y[:,9]
    dfdy[indx[16], indx[34]] = 0
    dfdy[indx[16], indx[35]] = 0
    dfdy[indx[16], indx[36]] = M*k[474]
    dfdy[indx[16], indx[37]] = 0
    dfdy[indx[16], indx[38]] = 0
    dfdy[indx[16], indx[39]] = 0
    dfdy[indx[16], indx[40]] = -k[397]*y[:,16] - k[399]*y[:,16] + k[400]*y[:,10]
    dfdy[indx[16], indx[41]] = 0
    dfdy[indx[16], indx[42]] = 0
    dfdy[indx[16], indx[43]] = 0
    dfdy[indx[16], indx[44]] = 0
    dfdy[indx[16], indx[45]] = M*k[498]
    dfdy[indx[16], indx[46]] = 0
    dfdy[indx[16], indx[47]] = 0
    dfdy[indx[16], indx[48]] = 0
    dfdy[indx[16], indx[49]] = 0
    dfdy[indx[16], indx[50]] = 0
    dfdy[indx[16], indx[51]] = 0
    dfdy[indx[16], indx[52]] = 0
    dfdy[indx[17], indx[0]] = 0
    dfdy[indx[17], indx[1]] = -k[247]*y[:,17]
    dfdy[indx[17], indx[2]] = -k[28]*y[:,17] - k[444]*y[:,17]*y[:,20] + k[62]*y[:,18] - k[64]*y[:,17] - k[66]*y[:,17]
    dfdy[indx[17], indx[3]] = 0
    dfdy[indx[17], indx[4]] = M*k[549]*y[:,9] + 2*k[259]*y[:,18] + k[25]*y[:,5] - k[269]*y[:,17] + k[291]*y[:,20] + k[590]*y[:,9] + k[65]*y[:,7]
    dfdy[indx[17], indx[5]] = k[140]*y[:,9] + k[164]*y[:,9] - k[21]*y[:,17] + k[23]*y[:,19] + k[25]*y[:,4] + k[27]*y[:,6]
    dfdy[indx[17], indx[6]] = M*k[553]*y[:,20] - k[271]*y[:,17] - k[273]*y[:,17] + k[27]*y[:,5] + k[387]*y[:,40] + k[588]*y[:,20]
    dfdy[indx[17], indx[7]] = -M*k[457]*y[:,17] + k[22]*y[:,18] - k[24]*y[:,17] - k[26]*y[:,17] - k[366]*y[:,17] - k[61]*y[:,17] - k[638]*y[:,17] + k[63]*y[:,19] + k[65]*y[:,4]
    dfdy[indx[17], indx[8]] = 0
    dfdy[indx[17], indx[9]] = -M*k[539]*y[:,17] + M*k[543]*y[:,19] + M*k[549]*y[:,4] + k[140]*y[:,5] + k[164]*y[:,5] + k[238]*y[:,21] + k[248]*y[:,21] + k[263]*y[:,18] + k[268]*y[:,33] + k[270]*y[:,33] + 2*k[274]*y[:,34]*y[:,9] - k[275]*y[:,17] - k[292]*y[:,17] + k[374]*y[:,18]*y[:,34] - k[380]*y[:,17]*y[:,33] + k[392]*y[:,18]*y[:,33] + k[443]*y[:,44] - k[580]*y[:,17] + k[590]*y[:,4]
    dfdy[indx[17], indx[10]] = k[137]*y[:,18] - k[139]*y[:,17] + k[365]*y[:,33]
    dfdy[indx[17], indx[11]] = -k[212]*y[:,17] + k[214]*y[:,19] - k[370]*y[:,17]
    dfdy[indx[17], indx[12]] = 0
    dfdy[indx[17], indx[13]] = -M*k[475]*y[:,17] + k[107]*y[:,18] - k[109]*y[:,17] - k[138]*y[:,17] - k[162]*y[:,17] - k[630]*y[:,17]
    dfdy[indx[17], indx[14]] = -M*k[513]*y[:,17] + k[211]*y[:,18] - k[213]*y[:,17]
    dfdy[indx[17], indx[15]] = -k[108]*y[:,17] + k[110]*y[:,19]
    dfdy[indx[17], indx[16]] = k[161]*y[:,18] - k[163]*y[:,17]
    dfdy[indx[17], indx[17]] = -M*k[457]*y[:,7] - M*k[475]*y[:,13] - M*k[513]*y[:,14] - 4*M*k[537]*y[:,17] - M*k[539]*y[:,9] - M*k[544] - M*k[550] - M*k[554] - k[108]*y[:,15] - k[109]*y[:,13] - k[138]*y[:,13] - k[139]*y[:,10] - k[162]*y[:,13] - k[163]*y[:,16] - k[212]*y[:,11] - k[213]*y[:,14] - k[21]*y[:,5] - k[227]*y[:,22] - k[237]*y[:,23] - k[247]*y[:,1] - k[24]*y[:,7] - 4*k[260]*y[:,17] - k[264]*y[:,20] - 4*k[265]*y[:,17] - k[267]*y[:,19] - k[269]*y[:,4] - k[26]*y[:,7] - k[271]*y[:,6] - k[273]*y[:,6] - k[275]*y[:,9] - k[28]*y[:,2] - k[292]*y[:,9] - k[326]*y[:,34] - k[366]*y[:,7] - k[370]*y[:,11] - k[373]*y[:,33] - k[380]*y[:,33]*y[:,9] - k[388]*y[:,33] - k[391]*y[:,40] - k[424]*y[:,43] - k[444]*y[:,20]*y[:,2] - k[448]*y[:,25] - k[580]*y[:,9] - k[587] - k[589] - 4*k[616]*y[:,17] - k[61]*y[:,7] - k[630]*y[:,13] - k[638]*y[:,7] - k[64]*y[:,2] - k[66]*y[:,2]
    dfdy[indx[17], indx[18]] = M*k[540] + k[107]*y[:,13] + k[137]*y[:,10] + k[161]*y[:,16] + k[211]*y[:,14] + k[22]*y[:,7] + 2*k[259]*y[:,4] + k[263]*y[:,9] + 2*k[266]*y[:,19] + k[325]*y[:,35] + k[374]*y[:,34]*y[:,9] + k[392]*y[:,33]*y[:,9] + k[423]*y[:,24] + k[579] + k[62]*y[:,2]
    dfdy[indx[17], indx[19]] = M*k[543]*y[:,9] + k[110]*y[:,15] + k[214]*y[:,11] + k[23]*y[:,5] + 2*k[266]*y[:,18] - k[267]*y[:,17] + k[276]*y[:,20] + k[379]*y[:,40] + k[63]*y[:,7]
    dfdy[indx[17], indx[20]] = M*k[553]*y[:,6] + k[228]*y[:,21] - k[264]*y[:,17] + k[276]*y[:,19] + k[291]*y[:,4] - k[444]*y[:,17]*y[:,2] + k[588]*y[:,6]
    dfdy[indx[17], indx[21]] = k[228]*y[:,20] + k[238]*y[:,9] + k[248]*y[:,9]
    dfdy[indx[17], indx[22]] = -k[227]*y[:,17]
    dfdy[indx[17], indx[23]] = -k[237]*y[:,17] + k[369]*y[:,33] + k[447]*y[:,45]
    dfdy[indx[17], indx[24]] = k[423]*y[:,18]
    dfdy[indx[17], indx[25]] = -k[448]*y[:,17]
    dfdy[indx[17], indx[26]] = 0
    dfdy[indx[17], indx[27]] = 0
    dfdy[indx[17], indx[28]] = 0
    dfdy[indx[17], indx[29]] = 0
    dfdy[indx[17], indx[30]] = 0
    dfdy[indx[17], indx[31]] = 0
    dfdy[indx[17], indx[32]] = 0
    dfdy[indx[17], indx[33]] = k[268]*y[:,9] + k[270]*y[:,9] + k[272] + k[365]*y[:,10] + k[369]*y[:,23] - k[373]*y[:,17] - k[380]*y[:,17]*y[:,9] - k[388]*y[:,17] + k[392]*y[:,18]*y[:,9]
    dfdy[indx[17], indx[34]] = k[274]*y[:,9]**2 - k[326]*y[:,17] + k[374]*y[:,18]*y[:,9]
    dfdy[indx[17], indx[35]] = k[325]*y[:,18]
    dfdy[indx[17], indx[36]] = 0
    dfdy[indx[17], indx[37]] = 0
    dfdy[indx[17], indx[38]] = 0
    dfdy[indx[17], indx[39]] = 0
    dfdy[indx[17], indx[40]] = 2*M*k[538] + k[379]*y[:,19] + k[387]*y[:,6] - k[391]*y[:,17] + 2*k[615]
    dfdy[indx[17], indx[41]] = 0
    dfdy[indx[17], indx[42]] = 0
    dfdy[indx[17], indx[43]] = -k[424]*y[:,17]
    dfdy[indx[17], indx[44]] = M*k[458] + k[443]*y[:,9] + k[637]
    dfdy[indx[17], indx[45]] = M*k[476] + k[447]*y[:,23] + k[629]
    dfdy[indx[17], indx[46]] = M*k[514]
    dfdy[indx[17], indx[47]] = 0
    dfdy[indx[17], indx[48]] = 0
    dfdy[indx[17], indx[49]] = 0
    dfdy[indx[17], indx[50]] = 0
    dfdy[indx[17], indx[51]] = 0
    dfdy[indx[17], indx[52]] = 0
    dfdy[indx[18], indx[0]] = 0
    dfdy[indx[18], indx[1]] = -k[245]*y[:,18]
    dfdy[indx[18], indx[2]] = -k[62]*y[:,18] - k[636]*y[:,18]
    dfdy[indx[18], indx[3]] = 0
    dfdy[indx[18], indx[4]] = -M*k[535]*y[:,18] + M*k[547]*y[:,20] - k[259]*y[:,18] + k[582]*y[:,20] + k[584]*y[:,9]**2 - k[614]*y[:,18]
    dfdy[indx[18], indx[5]] = k[21]*y[:,17]
    dfdy[indx[18], indx[6]] = -k[261]*y[:,18] + k[586]*y[:,20]*y[:,9]
    dfdy[indx[18], indx[7]] = -k[22]*y[:,18] - k[446]*y[:,18] + k[61]*y[:,17]
    dfdy[indx[18], indx[8]] = 0
    dfdy[indx[18], indx[9]] = M*k[539]*y[:,17] + k[262]*y[:,33] - k[263]*y[:,18] - k[374]*y[:,18]*y[:,34] - k[392]*y[:,18]*y[:,33] + k[445]*y[:,44] + k[580]*y[:,17] + 2*k[584]*y[:,4]*y[:,9] + k[586]*y[:,20]*y[:,6]
    dfdy[indx[18], indx[10]] = -k[137]*y[:,18]
    dfdy[indx[18], indx[11]] = k[212]*y[:,17]
    dfdy[indx[18], indx[12]] = 0
    dfdy[indx[18], indx[13]] = -k[107]*y[:,18] + k[138]*y[:,17] + k[162]*y[:,17]
    dfdy[indx[18], indx[14]] = -k[211]*y[:,18]
    dfdy[indx[18], indx[15]] = k[108]*y[:,17]
    dfdy[indx[18], indx[16]] = -M*k[497]*y[:,18] - k[161]*y[:,18]
    dfdy[indx[18], indx[17]] = M*k[539]*y[:,9] + k[108]*y[:,15] + k[138]*y[:,13] + k[162]*y[:,13] + k[212]*y[:,11] + k[21]*y[:,5] + 2*k[260]*y[:,17] + k[264]*y[:,20] + 2*k[265]*y[:,17] + k[326]*y[:,34] + k[373]*y[:,33] + k[391]*y[:,40] + k[424]*y[:,43] + k[580]*y[:,9] + k[61]*y[:,7]
    dfdy[indx[18], indx[18]] = -M*k[497]*y[:,16] - M*k[535]*y[:,4] - M*k[540] - M*k[548] - k[107]*y[:,13] - k[137]*y[:,10] - k[161]*y[:,16] - k[211]*y[:,14] - k[22]*y[:,7] - k[245]*y[:,1] - k[259]*y[:,4] - k[261]*y[:,6] - k[263]*y[:,9] - k[266]*y[:,19] - k[325]*y[:,35] - k[374]*y[:,34]*y[:,9] - k[392]*y[:,33]*y[:,9] - k[423]*y[:,24] - k[446]*y[:,7] - k[579] - k[581] - k[583] - k[585] - k[614]*y[:,4] - k[62]*y[:,2] - k[636]*y[:,2]
    dfdy[indx[18], indx[19]] = -k[266]*y[:,18]
    dfdy[indx[18], indx[20]] = M*k[547]*y[:,4] + k[246]*y[:,21] + k[264]*y[:,17] + k[582]*y[:,4] + k[586]*y[:,6]*y[:,9]
    dfdy[indx[18], indx[21]] = k[246]*y[:,20]
    dfdy[indx[18], indx[22]] = 0
    dfdy[indx[18], indx[23]] = 0
    dfdy[indx[18], indx[24]] = -k[423]*y[:,18]
    dfdy[indx[18], indx[25]] = 0
    dfdy[indx[18], indx[26]] = 0
    dfdy[indx[18], indx[27]] = 0
    dfdy[indx[18], indx[28]] = 0
    dfdy[indx[18], indx[29]] = 0
    dfdy[indx[18], indx[30]] = 0
    dfdy[indx[18], indx[31]] = 0
    dfdy[indx[18], indx[32]] = 0
    dfdy[indx[18], indx[33]] = k[262]*y[:,9] + k[373]*y[:,17] - k[392]*y[:,18]*y[:,9]
    dfdy[indx[18], indx[34]] = k[326]*y[:,17] - k[374]*y[:,18]*y[:,9]
    dfdy[indx[18], indx[35]] = -k[325]*y[:,18]
    dfdy[indx[18], indx[36]] = 0
    dfdy[indx[18], indx[37]] = 0
    dfdy[indx[18], indx[38]] = 0
    dfdy[indx[18], indx[39]] = 0
    dfdy[indx[18], indx[40]] = M*k[536] + k[391]*y[:,17] + k[613]
    dfdy[indx[18], indx[41]] = 0
    dfdy[indx[18], indx[42]] = 0
    dfdy[indx[18], indx[43]] = k[424]*y[:,17]
    dfdy[indx[18], indx[44]] = k[445]*y[:,9] + k[635]
    dfdy[indx[18], indx[45]] = M*k[498]
    dfdy[indx[18], indx[46]] = 0
    dfdy[indx[18], indx[47]] = 0
    dfdy[indx[18], indx[48]] = 0
    dfdy[indx[18], indx[49]] = 0
    dfdy[indx[18], indx[50]] = 0
    dfdy[indx[18], indx[51]] = 0
    dfdy[indx[18], indx[52]] = 0
    dfdy[indx[19], indx[0]] = 0
    dfdy[indx[19], indx[1]] = -M*k[527]*y[:,19] + k[181]*y[:,21] - k[249]*y[:,19] - k[251]*y[:,19]
    dfdy[indx[19], indx[2]] = k[142]*y[:,9]**2 + k[144]*y[:,20] - k[316]*y[:,19] - k[356]*y[:,19] - k[360]*y[:,19] + k[64]*y[:,17] - k[68]*y[:,19]
    dfdy[indx[19], indx[3]] = 0
    dfdy[indx[19], indx[4]] = M*k[563] - k[279]*y[:,19] + k[295]*y[:,9]
    dfdy[indx[19], indx[5]] = M*k[486] + k[112]*y[:,9] - k[23]*y[:,19] + k[29]*y[:,6] - k[368]*y[:,19]
    dfdy[indx[19], indx[6]] = M*k[555]*y[:,9] + k[114]*y[:,15] + k[187]*y[:,21] - k[281]*y[:,19] - k[283]*y[:,19] + k[286]*y[:,20] + k[29]*y[:,5] + k[658]*y[:,9] + k[67]*y[:,7]
    dfdy[indx[19], indx[7]] = k[166]*y[:,9] + k[24]*y[:,17] - k[30]*y[:,19] - k[63]*y[:,19] + k[67]*y[:,6]
    dfdy[indx[19], indx[8]] = 0
    dfdy[indx[19], indx[9]] = -M*k[543]*y[:,19] + M*k[555]*y[:,6] + k[112]*y[:,5] + 2*k[142]*y[:,2]*y[:,9] + k[166]*y[:,7] + k[230]*y[:,21] + k[240]*y[:,11] + k[250]*y[:,11] + 2*k[252]*y[:,14]*y[:,9] + k[268]*y[:,33] + k[275]*y[:,17] + 2*k[280]*y[:,34]*y[:,9] + k[282]*y[:,34] + 2*k[284]*y[:,35]*y[:,9] - k[285]*y[:,19] + k[295]*y[:,4] - k[296]*y[:,19] + k[315]*y[:,37] + k[380]*y[:,17]*y[:,33] + k[658]*y[:,6]
    dfdy[indx[19], indx[10]] = -M*k[485]*y[:,19] - k[141]*y[:,19] - k[143]*y[:,19] + k[359]*y[:,34] + k[367]*y[:,33]
    dfdy[indx[19], indx[11]] = -k[188]*y[:,19] - k[214]*y[:,19] + k[240]*y[:,9] + k[250]*y[:,9]
    dfdy[indx[19], indx[12]] = 0
    dfdy[indx[19], indx[13]] = k[109]*y[:,17] - k[111]*y[:,19] - k[113]*y[:,19] + k[355]*y[:,35]
    dfdy[indx[19], indx[14]] = -M*k[515]*y[:,19] + k[213]*y[:,17] + k[252]*y[:,9]**2
    dfdy[indx[19], indx[15]] = -k[110]*y[:,19] + k[114]*y[:,6]
    dfdy[indx[19], indx[16]] = -k[165]*y[:,19]
    dfdy[indx[19], indx[17]] = M*k[544] + k[109]*y[:,13] + k[213]*y[:,14] + k[24]*y[:,7] + 2*k[265]*y[:,17] - k[267]*y[:,19] + k[275]*y[:,9] + k[380]*y[:,33]*y[:,9] + k[64]*y[:,2]
    dfdy[indx[19], indx[18]] = -k[266]*y[:,19]
    dfdy[indx[19], indx[19]] = -M*k[485]*y[:,10] - M*k[515]*y[:,14] - M*k[521]*y[:,23] - M*k[527]*y[:,1] - 4*M*k[541]*y[:,19] - M*k[543]*y[:,9] - M*k[556] - M*k[564] - M*k[568] - k[110]*y[:,15] - k[111]*y[:,13] - k[113]*y[:,13] - k[141]*y[:,10] - k[143]*y[:,10] - k[165]*y[:,16] - k[178]*y[:,30] - k[182]*y[:,30] - k[188]*y[:,11] - k[214]*y[:,11] - k[229]*y[:,22] - k[239]*y[:,23] - k[23]*y[:,5] - k[249]*y[:,1] - k[251]*y[:,1] - k[266]*y[:,18] - k[267]*y[:,17] - k[276]*y[:,20] - 4*k[277]*y[:,19] - k[279]*y[:,4] - k[281]*y[:,6] - k[283]*y[:,6] - k[285]*y[:,9] - k[296]*y[:,9] - k[30]*y[:,7] - k[316]*y[:,2] - k[356]*y[:,2] - k[360]*y[:,2] - k[368]*y[:,5] - k[379]*y[:,40] - k[63]*y[:,7] - k[657] - k[68]*y[:,2]
    dfdy[indx[19], indx[20]] = M*k[567]*y[:,29] + k[144]*y[:,2] - k[276]*y[:,19] + 2*k[278]*y[:,34] + k[286]*y[:,6]
    dfdy[indx[19], indx[21]] = M*k[522] + M*k[528] + k[177]*y[:,23] + k[181]*y[:,1] + k[187]*y[:,6] + k[230]*y[:,9]
    dfdy[indx[19], indx[22]] = -k[229]*y[:,19]
    dfdy[indx[19], indx[23]] = -M*k[521]*y[:,19] + k[177]*y[:,21] - k[239]*y[:,19]
    dfdy[indx[19], indx[24]] = 0
    dfdy[indx[19], indx[25]] = 0
    dfdy[indx[19], indx[26]] = 0
    dfdy[indx[19], indx[27]] = 0
    dfdy[indx[19], indx[28]] = 0
    dfdy[indx[19], indx[29]] = M*k[567]*y[:,20]
    dfdy[indx[19], indx[30]] = -k[178]*y[:,19] - k[182]*y[:,19]
    dfdy[indx[19], indx[31]] = M*k[516]
    dfdy[indx[19], indx[32]] = 0
    dfdy[indx[19], indx[33]] = 2*M*k[542] + k[268]*y[:,9] + k[367]*y[:,10] + k[380]*y[:,17]*y[:,9]
    dfdy[indx[19], indx[34]] = 2*k[278]*y[:,20] + k[280]*y[:,9]**2 + k[282]*y[:,9] + k[359]*y[:,10]
    dfdy[indx[19], indx[35]] = k[284]*y[:,9]**2 + k[355]*y[:,13]
    dfdy[indx[19], indx[36]] = 0
    dfdy[indx[19], indx[37]] = k[315]*y[:,9]
    dfdy[indx[19], indx[38]] = 0
    dfdy[indx[19], indx[39]] = 0
    dfdy[indx[19], indx[40]] = -k[379]*y[:,19]
    dfdy[indx[19], indx[41]] = 0
    dfdy[indx[19], indx[42]] = 0
    dfdy[indx[19], indx[43]] = 0
    dfdy[indx[19], indx[44]] = 0
    dfdy[indx[19], indx[45]] = 0
    dfdy[indx[19], indx[46]] = 0
    dfdy[indx[19], indx[47]] = 0
    dfdy[indx[19], indx[48]] = 0
    dfdy[indx[19], indx[49]] = 0
    dfdy[indx[19], indx[50]] = 0
    dfdy[indx[19], indx[51]] = 0
    dfdy[indx[19], indx[52]] = 0
    dfdy[indx[20], indx[0]] = 0
    dfdy[indx[20], indx[1]] = k[245]*y[:,18] - k[257]*y[:,20]
    dfdy[indx[20], indx[2]] = -k[120]*y[:,20] - k[144]*y[:,20] - k[170]*y[:,20] - 2*k[38]*y[:,20]*y[:,2] - k[444]*y[:,17]*y[:,20] - k[622]*y[:,20] - k[72]*y[:,20]
    dfdy[indx[20], indx[3]] = -k[410]*y[:,20] - k[428]*y[:,20]
    dfdy[indx[20], indx[4]] = -M*k[547]*y[:,20] + k[169]*y[:,16] + 2*k[287]*y[:,4] - k[291]*y[:,20] + k[293]*y[:,9] - k[582]*y[:,20]
    dfdy[indx[20], indx[5]] = k[31]*y[:,9] + k[621] - k[632]*y[:,20]
    dfdy[indx[20], indx[6]] = -M*k[553]*y[:,20] + k[119]*y[:,13] - k[286]*y[:,20] - k[294]*y[:,20] + k[299]*y[:,9] - k[586]*y[:,20]*y[:,9] - k[588]*y[:,20]
    dfdy[indx[20], indx[7]] = -k[32]*y[:,20] + 2*k[37]*y[:,7] - k[442]*y[:,11]*y[:,20] + k[71]*y[:,9]
    dfdy[indx[20], indx[8]] = 0
    dfdy[indx[20], indx[9]] = 2*M*k[559]*y[:,9] + k[124]*y[:,15] + k[152]*y[:,13] + k[174]*y[:,13] + k[191]*y[:,21] + k[218]*y[:,11] + k[235]*y[:,22] + k[258]*y[:,22] + k[263]*y[:,18] + k[275]*y[:,17] + k[285]*y[:,19] + k[292]*y[:,17] + k[293]*y[:,4] + k[299]*y[:,6] + k[311]*y[:,36] + k[31]*y[:,5] + k[352]*y[:,34] + k[383]*y[:,40] - k[384]*y[:,20]*y[:,33] + k[420]*y[:,43] + k[427]*y[:,25] + k[443]*y[:,44] - k[586]*y[:,20]*y[:,6] + 2*k[594]*y[:,9] + k[71]*y[:,7]
    dfdy[indx[20], indx[10]] = k[143]*y[:,19] - k[151]*y[:,20] + k[409]*y[:,24]
    dfdy[indx[20], indx[11]] = -k[192]*y[:,20] + k[218]*y[:,9] - k[442]*y[:,20]*y[:,7]
    dfdy[indx[20], indx[12]] = 0
    dfdy[indx[20], indx[13]] = k[119]*y[:,6] - k[123]*y[:,20] + k[152]*y[:,9] + k[174]*y[:,9]
    dfdy[indx[20], indx[14]] = -k[217]*y[:,20]
    dfdy[indx[20], indx[15]] = M*k[504] + k[124]*y[:,9] + k[575]
    dfdy[indx[20], indx[16]] = -M*k[503]*y[:,20] + k[169]*y[:,4] - k[173]*y[:,20] - k[576]*y[:,20]
    dfdy[indx[20], indx[17]] = M*k[554] + k[227]*y[:,22] - k[264]*y[:,20] + k[275]*y[:,9] + k[292]*y[:,9] - k[444]*y[:,20]*y[:,2] + k[587]
    dfdy[indx[20], indx[18]] = M*k[548] + k[245]*y[:,1] + k[263]*y[:,9] + k[581] + k[585]
    dfdy[indx[20], indx[19]] = M*k[568] + k[143]*y[:,10] - k[276]*y[:,20] + 2*k[277]*y[:,19] + k[285]*y[:,9]
    dfdy[indx[20], indx[20]] = -M*k[503]*y[:,16] - M*k[547]*y[:,4] - M*k[553]*y[:,6] - M*k[560] - M*k[567]*y[:,29] - k[120]*y[:,2] - k[123]*y[:,13] - k[144]*y[:,2] - k[151]*y[:,10] - k[170]*y[:,2] - k[173]*y[:,16] - k[192]*y[:,11] - k[217]*y[:,14] - k[228]*y[:,21] - k[236]*y[:,23] - k[246]*y[:,21] - k[257]*y[:,1] - k[264]*y[:,17] - k[276]*y[:,19] - k[278]*y[:,34] - k[286]*y[:,6] - k[288]*y[:,34] - k[291]*y[:,4] - k[294]*y[:,6] - k[300]*y[:,29] - k[312]*y[:,27] - k[32]*y[:,7] - k[351]*y[:,35] - k[384]*y[:,33]*y[:,9] - k[38]*y[:,2]**2 - k[410]*y[:,3] - k[419]*y[:,24] - k[428]*y[:,3] - k[442]*y[:,11]*y[:,7] - k[444]*y[:,17]*y[:,2] - k[576]*y[:,16] - k[582]*y[:,4] - k[586]*y[:,6]*y[:,9] - k[588]*y[:,6] - k[593] - k[602]*y[:,34] - k[608]*y[:,33] - 4*k[612]*y[:,20]*y[:,34] - k[622]*y[:,2] - k[632]*y[:,5] - k[72]*y[:,2]
    dfdy[indx[20], indx[21]] = k[191]*y[:,9] - k[228]*y[:,20] - k[246]*y[:,20]
    dfdy[indx[20], indx[22]] = k[227]*y[:,17] + k[235]*y[:,9] + k[258]*y[:,9]
    dfdy[indx[20], indx[23]] = -k[236]*y[:,20] + k[441]*y[:,44]
    dfdy[indx[20], indx[24]] = k[409]*y[:,10] - k[419]*y[:,20]
    dfdy[indx[20], indx[25]] = k[427]*y[:,9]
    dfdy[indx[20], indx[26]] = 0
    dfdy[indx[20], indx[27]] = -k[312]*y[:,20]
    dfdy[indx[20], indx[28]] = 0
    dfdy[indx[20], indx[29]] = -M*k[567]*y[:,20] - k[300]*y[:,20]
    dfdy[indx[20], indx[30]] = 0
    dfdy[indx[20], indx[31]] = 0
    dfdy[indx[20], indx[32]] = 0
    dfdy[indx[20], indx[33]] = -k[384]*y[:,20]*y[:,9] + k[601] - k[608]*y[:,20]
    dfdy[indx[20], indx[34]] = -k[278]*y[:,20] - k[288]*y[:,20] + k[352]*y[:,9] - k[602]*y[:,20] - 2*k[612]*y[:,20]**2
    dfdy[indx[20], indx[35]] = -k[351]*y[:,20]
    dfdy[indx[20], indx[36]] = k[311]*y[:,9]
    dfdy[indx[20], indx[37]] = 0
    dfdy[indx[20], indx[38]] = 0
    dfdy[indx[20], indx[39]] = 0
    dfdy[indx[20], indx[40]] = k[383]*y[:,9] + k[607] + 2*k[611]
    dfdy[indx[20], indx[41]] = 0
    dfdy[indx[20], indx[42]] = 0
    dfdy[indx[20], indx[43]] = k[420]*y[:,9]
    dfdy[indx[20], indx[44]] = k[441]*y[:,23] + k[443]*y[:,9]
    dfdy[indx[20], indx[45]] = k[631]
    dfdy[indx[20], indx[46]] = 0
    dfdy[indx[20], indx[47]] = 0
    dfdy[indx[20], indx[48]] = 0
    dfdy[indx[20], indx[49]] = 0
    dfdy[indx[20], indx[50]] = 0
    dfdy[indx[20], indx[51]] = 0
    dfdy[indx[20], indx[52]] = 0
    dfdy[indx[21], indx[0]] = 0
    dfdy[indx[21], indx[1]] = M*k[527]*y[:,19] + M*k[529]*y[:,4] - k[181]*y[:,21] - k[183]*y[:,21] + k[245]*y[:,18] + k[247]*y[:,17]
    dfdy[indx[21], indx[2]] = 0
    dfdy[indx[21], indx[3]] = 0
    dfdy[indx[21], indx[4]] = M*k[529]*y[:,1] + k[184]*y[:,30] + k[190]*y[:,11] + k[231]*y[:,22]
    dfdy[indx[21], indx[5]] = k[34]*y[:,11]
    dfdy[indx[21], indx[6]] = -k[185]*y[:,21] - k[187]*y[:,21] - k[189]*y[:,21]
    dfdy[indx[21], indx[7]] = -k[33]*y[:,21]
    dfdy[indx[21], indx[8]] = 0
    dfdy[indx[21], indx[9]] = k[126]*y[:,28] + k[156]*y[:,28] + k[186]*y[:,31] - k[191]*y[:,21] + k[194]*y[:,11] - k[230]*y[:,21] - k[232]*y[:,21] - k[238]*y[:,21] - k[248]*y[:,21]
    dfdy[indx[21], indx[10]] = -k[125]*y[:,21] - k[127]*y[:,21]
    dfdy[indx[21], indx[11]] = k[128]*y[:,13] + k[158]*y[:,13] + k[176]*y[:,24] + k[180]*y[:,22] + k[188]*y[:,19] + k[190]*y[:,4] + k[192]*y[:,20] + k[194]*y[:,9] + k[34]*y[:,5]
    dfdy[indx[21], indx[12]] = 0
    dfdy[indx[21], indx[13]] = k[128]*y[:,11] + k[158]*y[:,11]
    dfdy[indx[21], indx[14]] = 0
    dfdy[indx[21], indx[15]] = 0
    dfdy[indx[21], indx[16]] = -k[155]*y[:,21] - k[157]*y[:,21]
    dfdy[indx[21], indx[17]] = k[227]*y[:,22] + k[237]*y[:,23] + k[247]*y[:,1]
    dfdy[indx[21], indx[18]] = k[245]*y[:,1]
    dfdy[indx[21], indx[19]] = M*k[521]*y[:,23] + M*k[527]*y[:,1] + k[178]*y[:,30] + k[182]*y[:,30] + k[188]*y[:,11] + k[229]*y[:,22]
    dfdy[indx[21], indx[20]] = k[192]*y[:,11] - k[228]*y[:,21] - k[246]*y[:,21]
    dfdy[indx[21], indx[21]] = -M*k[522] - M*k[528] - M*k[530] - k[125]*y[:,10] - k[127]*y[:,10] - k[155]*y[:,16] - k[157]*y[:,16] - k[175]*y[:,22] - k[177]*y[:,23] - k[179]*y[:,23] - k[181]*y[:,1] - k[183]*y[:,1] - k[185]*y[:,6] - k[187]*y[:,6] - k[189]*y[:,6] - k[191]*y[:,9] - k[193] - k[228]*y[:,20] - k[230]*y[:,9] - k[232]*y[:,9] - k[238]*y[:,9] - k[246]*y[:,20] - k[248]*y[:,9] - k[33]*y[:,7]
    dfdy[indx[21], indx[22]] = -k[175]*y[:,21] + k[180]*y[:,11] + k[227]*y[:,17] + k[229]*y[:,19] + k[231]*y[:,4]
    dfdy[indx[21], indx[23]] = M*k[521]*y[:,19] - k[177]*y[:,21] - k[179]*y[:,21] + k[237]*y[:,17]
    dfdy[indx[21], indx[24]] = k[176]*y[:,11]
    dfdy[indx[21], indx[25]] = 0
    dfdy[indx[21], indx[26]] = 0
    dfdy[indx[21], indx[27]] = 0
    dfdy[indx[21], indx[28]] = k[126]*y[:,9] + k[156]*y[:,9]
    dfdy[indx[21], indx[29]] = 0
    dfdy[indx[21], indx[30]] = k[178]*y[:,19] + k[182]*y[:,19] + k[184]*y[:,4]
    dfdy[indx[21], indx[31]] = k[186]*y[:,9]
    dfdy[indx[21], indx[32]] = 0
    dfdy[indx[21], indx[33]] = 0
    dfdy[indx[21], indx[34]] = 0
    dfdy[indx[21], indx[35]] = 0
    dfdy[indx[21], indx[36]] = 0
    dfdy[indx[21], indx[37]] = 0
    dfdy[indx[21], indx[38]] = 0
    dfdy[indx[21], indx[39]] = 0
    dfdy[indx[21], indx[40]] = 0
    dfdy[indx[21], indx[41]] = 0
    dfdy[indx[21], indx[42]] = 0
    dfdy[indx[21], indx[43]] = 0
    dfdy[indx[21], indx[44]] = 0
    dfdy[indx[21], indx[45]] = 0
    dfdy[indx[21], indx[46]] = 0
    dfdy[indx[21], indx[47]] = 0
    dfdy[indx[21], indx[48]] = 0
    dfdy[indx[21], indx[49]] = 0
    dfdy[indx[21], indx[50]] = 0
    dfdy[indx[21], indx[51]] = 0
    dfdy[indx[21], indx[52]] = 0
    dfdy[indx[22], indx[0]] = 0
    dfdy[indx[22], indx[1]] = M*k[533]*y[:,9] - k[225]*y[:,22] + k[257]*y[:,20] + k[59]*y[:,7]
    dfdy[indx[22], indx[2]] = -k[342]*y[:,22] + k[52]*y[:,24] - k[56]*y[:,22] - k[60]*y[:,22] - k[654]*y[:,22]
    dfdy[indx[22], indx[3]] = k[134]*y[:,9]
    dfdy[indx[22], indx[4]] = -k[231]*y[:,22]
    dfdy[indx[22], indx[5]] = k[50]*y[:,23]
    dfdy[indx[22], indx[6]] = k[206]*y[:,30] - k[233]*y[:,22]
    dfdy[indx[22], indx[7]] = -k[49]*y[:,22] - k[51]*y[:,22] + k[55]*y[:,23] + k[59]*y[:,1]
    dfdy[indx[22], indx[8]] = k[341]*y[:,9]
    dfdy[indx[22], indx[9]] = M*k[525]*y[:,23] + M*k[533]*y[:,1] + k[100]*y[:,25] + k[134]*y[:,3] + 4*k[220]*y[:,30]*y[:,9] + k[224]*y[:,30] + k[226]*y[:,30] + k[230]*y[:,21] + k[232]*y[:,21] + k[234]*y[:,11] - k[235]*y[:,22] - k[258]*y[:,22] + k[341]*y[:,8] - 2*k[648]*y[:,22]*y[:,9]
    dfdy[indx[22], indx[10]] = -k[133]*y[:,22] - k[135]*y[:,22] + k[407]*y[:,24]
    dfdy[indx[22], indx[11]] = k[176]*y[:,24] - k[180]*y[:,22] + k[204]*y[:,23] + k[234]*y[:,9]
    dfdy[indx[22], indx[12]] = 0
    dfdy[indx[22], indx[13]] = -k[101]*y[:,22] + k[136]*y[:,23] - k[408]*y[:,22] + k[413]*y[:,24] - k[99]*y[:,22]
    dfdy[indx[22], indx[14]] = -k[203]*y[:,22] - k[205]*y[:,22]
    dfdy[indx[22], indx[15]] = k[102]*y[:,23] - k[414]*y[:,22]
    dfdy[indx[22], indx[16]] = 0
    dfdy[indx[22], indx[17]] = -k[227]*y[:,22]
    dfdy[indx[22], indx[18]] = 0
    dfdy[indx[22], indx[19]] = -k[229]*y[:,22]
    dfdy[indx[22], indx[20]] = k[228]*y[:,21] + k[236]*y[:,23] + k[257]*y[:,1]
    dfdy[indx[22], indx[21]] = -k[175]*y[:,22] + k[179]*y[:,23] + k[228]*y[:,20] + k[230]*y[:,9] + k[232]*y[:,9]
    dfdy[indx[22], indx[22]] = -M*k[526] - M*k[534] - k[101]*y[:,13] - k[133]*y[:,10] - k[135]*y[:,10] - k[175]*y[:,21] - k[180]*y[:,11] - k[203]*y[:,14] - k[205]*y[:,14] - 4*k[219]*y[:,22] - 4*k[221]*y[:,22] - k[223]*y[:,23] - k[225]*y[:,1] - k[227]*y[:,17] - k[229]*y[:,19] - k[231]*y[:,4] - k[233]*y[:,6] - k[235]*y[:,9] - k[258]*y[:,9] - k[342]*y[:,2] - k[408]*y[:,13] - k[414]*y[:,15] - k[49]*y[:,7] - k[51]*y[:,7] - k[56]*y[:,2] - k[60]*y[:,2] - k[648]*y[:,9]**2 - k[654]*y[:,2] - k[99]*y[:,13]
    dfdy[indx[22], indx[23]] = M*k[525]*y[:,9] + k[102]*y[:,15] + k[136]*y[:,13] + k[179]*y[:,21] + k[204]*y[:,11] + 2*k[222]*y[:,24] - k[223]*y[:,22] + k[236]*y[:,20] + k[50]*y[:,5] + k[55]*y[:,7]
    dfdy[indx[22], indx[24]] = k[176]*y[:,11] + 2*k[222]*y[:,23] + k[407]*y[:,10] + k[413]*y[:,13] + k[52]*y[:,2]
    dfdy[indx[22], indx[25]] = k[100]*y[:,9]
    dfdy[indx[22], indx[26]] = 0
    dfdy[indx[22], indx[27]] = 0
    dfdy[indx[22], indx[28]] = 0
    dfdy[indx[22], indx[29]] = 0
    dfdy[indx[22], indx[30]] = k[206]*y[:,6] + 2*k[220]*y[:,9]**2 + k[224]*y[:,9] + k[226]*y[:,9]
    dfdy[indx[22], indx[31]] = 0
    dfdy[indx[22], indx[32]] = 0
    dfdy[indx[22], indx[33]] = 0
    dfdy[indx[22], indx[34]] = 0
    dfdy[indx[22], indx[35]] = 0
    dfdy[indx[22], indx[36]] = 0
    dfdy[indx[22], indx[37]] = 0
    dfdy[indx[22], indx[38]] = 0
    dfdy[indx[22], indx[39]] = 0
    dfdy[indx[22], indx[40]] = 0
    dfdy[indx[22], indx[41]] = 0
    dfdy[indx[22], indx[42]] = 0
    dfdy[indx[22], indx[43]] = k[647]
    dfdy[indx[22], indx[44]] = 0
    dfdy[indx[22], indx[45]] = 0
    dfdy[indx[22], indx[46]] = 0
    dfdy[indx[22], indx[47]] = 0
    dfdy[indx[22], indx[48]] = 0
    dfdy[indx[22], indx[49]] = 0
    dfdy[indx[22], indx[50]] = k[653]
    dfdy[indx[22], indx[51]] = 0
    dfdy[indx[22], indx[52]] = 0
    dfdy[indx[23], indx[0]] = 0
    dfdy[indx[23], indx[1]] = M*k[561]
    dfdy[indx[23], indx[2]] = -k[130]*y[:,23] + k[56]*y[:,22]
    dfdy[indx[23], indx[3]] = M*k[484] + k[104]*y[:,9] - k[345]*y[:,23] + k[350]*y[:,10] + k[651]
    dfdy[indx[23], indx[4]] = -k[241]*y[:,23]
    dfdy[indx[23], indx[5]] = -k[50]*y[:,23]
    dfdy[indx[23], indx[6]] = -k[243]*y[:,23]
    dfdy[indx[23], indx[7]] = k[442]*y[:,11]*y[:,20] + k[49]*y[:,22] - k[53]*y[:,23] - k[55]*y[:,23]
    dfdy[indx[23], indx[8]] = k[54]*y[:,9]
    dfdy[indx[23], indx[9]] = -M*k[525]*y[:,23] + k[104]*y[:,3] + k[224]*y[:,30] + k[235]*y[:,22] + k[238]*y[:,21] + k[240]*y[:,11] + 2*k[242]*y[:,14]*y[:,9] + k[244]*y[:,14] + k[54]*y[:,8]
    dfdy[indx[23], indx[10]] = -M*k[483]*y[:,23] + k[129]*y[:,14] + k[135]*y[:,22] + k[346]*y[:,30] + k[350]*y[:,3] - k[652]*y[:,23]
    dfdy[indx[23], indx[11]] = k[180]*y[:,22] - k[204]*y[:,23] + k[240]*y[:,9] + k[370]*y[:,17] + k[442]*y[:,20]*y[:,7]
    dfdy[indx[23], indx[12]] = 0
    dfdy[indx[23], indx[13]] = k[101]*y[:,22] - k[103]*y[:,23] - k[136]*y[:,23]
    dfdy[indx[23], indx[14]] = k[129]*y[:,10] + k[203]*y[:,22] - k[207]*y[:,23] + k[242]*y[:,9]**2 + k[244]*y[:,9]
    dfdy[indx[23], indx[15]] = -k[102]*y[:,23]
    dfdy[indx[23], indx[16]] = 0
    dfdy[indx[23], indx[17]] = -k[237]*y[:,23] + k[370]*y[:,11] + k[448]*y[:,25]
    dfdy[indx[23], indx[18]] = 0
    dfdy[indx[23], indx[19]] = -M*k[521]*y[:,23] + k[178]*y[:,30] - k[239]*y[:,23]
    dfdy[indx[23], indx[20]] = -k[236]*y[:,23] + k[442]*y[:,11]*y[:,7]
    dfdy[indx[23], indx[21]] = M*k[522] - k[177]*y[:,23] - k[179]*y[:,23] + k[238]*y[:,9]
    dfdy[indx[23], indx[22]] = M*k[526] + k[101]*y[:,13] + k[135]*y[:,10] + k[180]*y[:,11] + k[203]*y[:,14] + 2*k[221]*y[:,22] - k[223]*y[:,23] + k[235]*y[:,9] + k[49]*y[:,7] + k[56]*y[:,2]
    dfdy[indx[23], indx[23]] = -M*k[483]*y[:,10] - M*k[521]*y[:,19] - 4*M*k[523]*y[:,23] - M*k[525]*y[:,9] - M*k[562] - k[102]*y[:,15] - k[103]*y[:,13] - k[130]*y[:,2] - k[136]*y[:,13] - k[177]*y[:,21] - k[179]*y[:,21] - k[204]*y[:,11] - k[207]*y[:,14] - k[222]*y[:,24] - k[223]*y[:,22] - k[236]*y[:,20] - k[237]*y[:,17] - k[239]*y[:,19] - k[241]*y[:,4] - k[243]*y[:,6] - k[345]*y[:,3] - k[349]*y[:,27] - k[369]*y[:,33] - k[441]*y[:,44] - k[447]*y[:,45] - k[50]*y[:,5] - k[53]*y[:,7] - k[55]*y[:,7] - 4*k[644]*y[:,23] - k[652]*y[:,10]
    dfdy[indx[23], indx[24]] = -k[222]*y[:,23]
    dfdy[indx[23], indx[25]] = k[448]*y[:,17]
    dfdy[indx[23], indx[26]] = 0
    dfdy[indx[23], indx[27]] = -k[349]*y[:,23]
    dfdy[indx[23], indx[28]] = 0
    dfdy[indx[23], indx[29]] = k[208]*y[:,30]
    dfdy[indx[23], indx[30]] = 2*M*k[524] + k[178]*y[:,19] + k[208]*y[:,29] + k[224]*y[:,9] + k[346]*y[:,10] + 2*k[643]
    dfdy[indx[23], indx[31]] = 0
    dfdy[indx[23], indx[32]] = 0
    dfdy[indx[23], indx[33]] = -k[369]*y[:,23]
    dfdy[indx[23], indx[34]] = 0
    dfdy[indx[23], indx[35]] = 0
    dfdy[indx[23], indx[36]] = 0
    dfdy[indx[23], indx[37]] = 0
    dfdy[indx[23], indx[38]] = 0
    dfdy[indx[23], indx[39]] = 0
    dfdy[indx[23], indx[40]] = 0
    dfdy[indx[23], indx[41]] = 0
    dfdy[indx[23], indx[42]] = 0
    dfdy[indx[23], indx[43]] = 0
    dfdy[indx[23], indx[44]] = -k[441]*y[:,23]
    dfdy[indx[23], indx[45]] = -k[447]*y[:,23]
    dfdy[indx[23], indx[46]] = 0
    dfdy[indx[23], indx[47]] = 0
    dfdy[indx[23], indx[48]] = 0
    dfdy[indx[23], indx[49]] = 0
    dfdy[indx[23], indx[50]] = 0
    dfdy[indx[23], indx[51]] = 0
    dfdy[indx[23], indx[52]] = 0
    dfdy[indx[24], indx[0]] = 0
    dfdy[indx[24], indx[1]] = 0
    dfdy[indx[24], indx[2]] = -k[52]*y[:,24]
    dfdy[indx[24], indx[3]] = k[410]*y[:,20] - k[411]*y[:,24]
    dfdy[indx[24], indx[4]] = 0
    dfdy[indx[24], indx[5]] = 0
    dfdy[indx[24], indx[6]] = 0
    dfdy[indx[24], indx[7]] = k[51]*y[:,22]
    dfdy[indx[24], indx[8]] = 0
    dfdy[indx[24], indx[9]] = k[406]*y[:,25] + k[420]*y[:,43] + k[422]*y[:,33]*y[:,43] - k[646]*y[:,24]
    dfdy[indx[24], indx[10]] = -k[405]*y[:,24] - k[407]*y[:,24] - k[409]*y[:,24] + k[435]*y[:,43]
    dfdy[indx[24], indx[11]] = -k[176]*y[:,24] - k[440]*y[:,24]
    dfdy[indx[24], indx[12]] = 0
    dfdy[indx[24], indx[13]] = k[408]*y[:,22] - k[413]*y[:,24] - k[436]*y[:,24] + k[437]*y[:,43]
    dfdy[indx[24], indx[14]] = k[439]*y[:,43]
    dfdy[indx[24], indx[15]] = k[412]*y[:,30] + k[414]*y[:,22] + k[416]*y[:,25] - k[438]*y[:,24]
    dfdy[indx[24], indx[16]] = 0
    dfdy[indx[24], indx[17]] = k[424]*y[:,43]
    dfdy[indx[24], indx[18]] = -k[423]*y[:,24]
    dfdy[indx[24], indx[19]] = 0
    dfdy[indx[24], indx[20]] = k[410]*y[:,3] - k[419]*y[:,24]
    dfdy[indx[24], indx[21]] = k[175]*y[:,22]
    dfdy[indx[24], indx[22]] = k[175]*y[:,21] + 2*k[221]*y[:,22] + k[408]*y[:,13] + k[414]*y[:,15] + k[51]*y[:,7]
    dfdy[indx[24], indx[23]] = -k[222]*y[:,24]
    dfdy[indx[24], indx[24]] = -k[176]*y[:,11] - k[222]*y[:,23] - k[405]*y[:,10] - k[407]*y[:,10] - k[409]*y[:,10] - k[411]*y[:,3] - k[413]*y[:,13] - k[415]*y[:,36] - k[417]*y[:,36] - k[419]*y[:,20] - k[421]*y[:,40] - k[423]*y[:,18] - k[436]*y[:,13] - k[438]*y[:,15] - k[440]*y[:,11] - k[52]*y[:,2] - k[646]*y[:,9]
    dfdy[indx[24], indx[25]] = k[406]*y[:,9] + k[416]*y[:,15]
    dfdy[indx[24], indx[26]] = 0
    dfdy[indx[24], indx[27]] = k[418]*y[:,43]
    dfdy[indx[24], indx[28]] = 0
    dfdy[indx[24], indx[29]] = 0
    dfdy[indx[24], indx[30]] = k[412]*y[:,15]
    dfdy[indx[24], indx[31]] = 0
    dfdy[indx[24], indx[32]] = 0
    dfdy[indx[24], indx[33]] = k[422]*y[:,43]*y[:,9]
    dfdy[indx[24], indx[34]] = 0
    dfdy[indx[24], indx[35]] = 0
    dfdy[indx[24], indx[36]] = -k[415]*y[:,24] - k[417]*y[:,24]
    dfdy[indx[24], indx[37]] = 0
    dfdy[indx[24], indx[38]] = 0
    dfdy[indx[24], indx[39]] = 0
    dfdy[indx[24], indx[40]] = -k[421]*y[:,24]
    dfdy[indx[24], indx[41]] = 0
    dfdy[indx[24], indx[42]] = 0
    dfdy[indx[24], indx[43]] = k[418]*y[:,27] + k[420]*y[:,9] + k[422]*y[:,33]*y[:,9] + k[424]*y[:,17] + k[435]*y[:,10] + k[437]*y[:,13] + k[439]*y[:,14] + k[645]
    dfdy[indx[24], indx[44]] = 0
    dfdy[indx[24], indx[45]] = 0
    dfdy[indx[24], indx[46]] = 0
    dfdy[indx[24], indx[47]] = 0
    dfdy[indx[24], indx[48]] = 0
    dfdy[indx[24], indx[49]] = 0
    dfdy[indx[24], indx[50]] = 0
    dfdy[indx[24], indx[51]] = 0
    dfdy[indx[24], indx[52]] = 0
    dfdy[indx[25], indx[0]] = 0
    dfdy[indx[25], indx[1]] = k[83]*y[:,15]
    dfdy[indx[25], indx[2]] = 0
    dfdy[indx[25], indx[3]] = k[426]*y[:,13] + k[428]*y[:,20] + k[430]*y[:,15] + k[432]*y[:,5] + k[434]*y[:,11]
    dfdy[indx[25], indx[4]] = 0
    dfdy[indx[25], indx[5]] = k[432]*y[:,3]
    dfdy[indx[25], indx[6]] = 0
    dfdy[indx[25], indx[7]] = -k[431]*y[:,25]
    dfdy[indx[25], indx[8]] = 0
    dfdy[indx[25], indx[9]] = -k[100]*y[:,25] - k[406]*y[:,25] - k[427]*y[:,25] - k[84]*y[:,25]
    dfdy[indx[25], indx[10]] = k[405]*y[:,24] - k[425]*y[:,25]
    dfdy[indx[25], indx[11]] = k[434]*y[:,3]
    dfdy[indx[25], indx[12]] = 0
    dfdy[indx[25], indx[13]] = k[426]*y[:,3] - k[429]*y[:,25] + k[99]*y[:,22]
    dfdy[indx[25], indx[14]] = -k[433]*y[:,25]
    dfdy[indx[25], indx[15]] = -k[416]*y[:,25] + k[430]*y[:,3] + k[83]*y[:,1]
    dfdy[indx[25], indx[16]] = 0
    dfdy[indx[25], indx[17]] = -k[448]*y[:,25]
    dfdy[indx[25], indx[18]] = 0
    dfdy[indx[25], indx[19]] = 0
    dfdy[indx[25], indx[20]] = k[428]*y[:,3]
    dfdy[indx[25], indx[21]] = 0
    dfdy[indx[25], indx[22]] = k[99]*y[:,13]
    dfdy[indx[25], indx[23]] = k[447]*y[:,45]
    dfdy[indx[25], indx[24]] = k[405]*y[:,10] + k[415]*y[:,36]
    dfdy[indx[25], indx[25]] = -k[100]*y[:,9] - k[406]*y[:,9] - k[416]*y[:,15] - k[425]*y[:,10] - k[427]*y[:,9] - k[429]*y[:,13] - k[431]*y[:,7] - k[433]*y[:,14] - k[448]*y[:,17] - k[84]*y[:,9]
    dfdy[indx[25], indx[26]] = 0
    dfdy[indx[25], indx[27]] = 0
    dfdy[indx[25], indx[28]] = 0
    dfdy[indx[25], indx[29]] = 0
    dfdy[indx[25], indx[30]] = 0
    dfdy[indx[25], indx[31]] = 0
    dfdy[indx[25], indx[32]] = 0
    dfdy[indx[25], indx[33]] = 0
    dfdy[indx[25], indx[34]] = 0
    dfdy[indx[25], indx[35]] = 0
    dfdy[indx[25], indx[36]] = k[415]*y[:,24]
    dfdy[indx[25], indx[37]] = 0
    dfdy[indx[25], indx[38]] = 0
    dfdy[indx[25], indx[39]] = 0
    dfdy[indx[25], indx[40]] = 0
    dfdy[indx[25], indx[41]] = 0
    dfdy[indx[25], indx[42]] = 0
    dfdy[indx[25], indx[43]] = 0
    dfdy[indx[25], indx[44]] = 0
    dfdy[indx[25], indx[45]] = k[447]*y[:,23]
    dfdy[indx[25], indx[46]] = 0
    dfdy[indx[25], indx[47]] = 0
    dfdy[indx[25], indx[48]] = 0
    dfdy[indx[25], indx[49]] = 0
    dfdy[indx[25], indx[50]] = 0
    dfdy[indx[25], indx[51]] = 0
    dfdy[indx[25], indx[52]] = 0
    dfdy[indx[26], indx[0]] = 0
    dfdy[indx[26], indx[1]] = 0
    dfdy[indx[26], indx[2]] = 0
    dfdy[indx[26], indx[3]] = 0
    dfdy[indx[26], indx[4]] = 0
    dfdy[indx[26], indx[5]] = 0
    dfdy[indx[26], indx[6]] = 0
    dfdy[indx[26], indx[7]] = 0
    dfdy[indx[26], indx[8]] = 0
    dfdy[indx[26], indx[9]] = -k[88]*y[:,26]
    dfdy[indx[26], indx[10]] = 0
    dfdy[indx[26], indx[11]] = k[87]*y[:,13]
    dfdy[indx[26], indx[12]] = 0
    dfdy[indx[26], indx[13]] = M*k[467]*y[:,14] + k[87]*y[:,11]
    dfdy[indx[26], indx[14]] = M*k[467]*y[:,13]
    dfdy[indx[26], indx[15]] = 0
    dfdy[indx[26], indx[16]] = 0
    dfdy[indx[26], indx[17]] = 0
    dfdy[indx[26], indx[18]] = 0
    dfdy[indx[26], indx[19]] = 0
    dfdy[indx[26], indx[20]] = 0
    dfdy[indx[26], indx[21]] = 0
    dfdy[indx[26], indx[22]] = 0
    dfdy[indx[26], indx[23]] = 0
    dfdy[indx[26], indx[24]] = 0
    dfdy[indx[26], indx[25]] = 0
    dfdy[indx[26], indx[26]] = -M*k[468] - k[88]*y[:,9]
    dfdy[indx[26], indx[27]] = 0
    dfdy[indx[26], indx[28]] = 0
    dfdy[indx[26], indx[29]] = 0
    dfdy[indx[26], indx[30]] = 0
    dfdy[indx[26], indx[31]] = 0
    dfdy[indx[26], indx[32]] = 0
    dfdy[indx[26], indx[33]] = 0
    dfdy[indx[26], indx[34]] = 0
    dfdy[indx[26], indx[35]] = 0
    dfdy[indx[26], indx[36]] = 0
    dfdy[indx[26], indx[37]] = 0
    dfdy[indx[26], indx[38]] = 0
    dfdy[indx[26], indx[39]] = 0
    dfdy[indx[26], indx[40]] = 0
    dfdy[indx[26], indx[41]] = 0
    dfdy[indx[26], indx[42]] = 0
    dfdy[indx[26], indx[43]] = 0
    dfdy[indx[26], indx[44]] = 0
    dfdy[indx[26], indx[45]] = 0
    dfdy[indx[26], indx[46]] = 0
    dfdy[indx[26], indx[47]] = 0
    dfdy[indx[26], indx[48]] = 0
    dfdy[indx[26], indx[49]] = 0
    dfdy[indx[26], indx[50]] = 0
    dfdy[indx[26], indx[51]] = 0
    dfdy[indx[26], indx[52]] = 0
    dfdy[indx[27], indx[0]] = k[328]*y[:,3]
    dfdy[indx[27], indx[1]] = 0
    dfdy[indx[27], indx[2]] = k[302]*y[:,10] + k[330]*y[:,13] + k[332]*y[:,36] + k[336]*y[:,7]
    dfdy[indx[27], indx[3]] = k[328]*y[:,0] + k[350]*y[:,10]
    dfdy[indx[27], indx[4]] = 0
    dfdy[indx[27], indx[5]] = 0
    dfdy[indx[27], indx[6]] = -k[329]*y[:,27]
    dfdy[indx[27], indx[7]] = -k[331]*y[:,27] + k[336]*y[:,2]
    dfdy[indx[27], indx[8]] = -k[327]*y[:,27] + k[338]*y[:,10]
    dfdy[indx[27], indx[9]] = -M*k[569]*y[:,27] + k[311]*y[:,36] - k[96]*y[:,27] - k[98]*y[:,27]
    dfdy[indx[27], indx[10]] = 2*M*k[481]*y[:,10] + k[302]*y[:,2] + k[305]*y[:,36] + k[334]*y[:,37] + k[338]*y[:,8] + k[350]*y[:,3] + 2*k[626]*y[:,10] + k[628]*y[:,16] + k[95]*y[:,13]
    dfdy[indx[27], indx[11]] = 0
    dfdy[indx[27], indx[12]] = 0
    dfdy[indx[27], indx[13]] = -k[306]*y[:,27] + k[313]*y[:,36] + k[330]*y[:,2] + k[95]*y[:,10] + k[97]*y[:,16]
    dfdy[indx[27], indx[14]] = -k[337]*y[:,27]
    dfdy[indx[27], indx[15]] = -k[314]*y[:,27]
    dfdy[indx[27], indx[16]] = 2*M*k[495]*y[:,16] + k[628]*y[:,10] + k[97]*y[:,13]
    dfdy[indx[27], indx[17]] = 0
    dfdy[indx[27], indx[18]] = 0
    dfdy[indx[27], indx[19]] = 0
    dfdy[indx[27], indx[20]] = -k[312]*y[:,27]
    dfdy[indx[27], indx[21]] = 0
    dfdy[indx[27], indx[22]] = 0
    dfdy[indx[27], indx[23]] = -k[349]*y[:,27]
    dfdy[indx[27], indx[24]] = k[417]*y[:,36]
    dfdy[indx[27], indx[25]] = 0
    dfdy[indx[27], indx[26]] = 0
    dfdy[indx[27], indx[27]] = -M*k[482] - M*k[496] - M*k[569]*y[:,9] - k[301]*y[:,29] - k[306]*y[:,13] - k[312]*y[:,20] - k[314]*y[:,15] - k[327]*y[:,8] - k[329]*y[:,6] - k[331]*y[:,7] - k[333]*y[:,35] - k[335]*y[:,35] - k[337]*y[:,14] - k[349]*y[:,23] - k[418]*y[:,43] - k[625] - k[627] - k[96]*y[:,9] - k[98]*y[:,9]
    dfdy[indx[27], indx[28]] = 0
    dfdy[indx[27], indx[29]] = -k[301]*y[:,27]
    dfdy[indx[27], indx[30]] = 0
    dfdy[indx[27], indx[31]] = 0
    dfdy[indx[27], indx[32]] = 0
    dfdy[indx[27], indx[33]] = 0
    dfdy[indx[27], indx[34]] = 0
    dfdy[indx[27], indx[35]] = -k[333]*y[:,27] - k[335]*y[:,27]
    dfdy[indx[27], indx[36]] = M*k[570] + k[305]*y[:,10] + k[311]*y[:,9] + k[313]*y[:,13] + k[332]*y[:,2] + k[417]*y[:,24]
    dfdy[indx[27], indx[37]] = k[334]*y[:,10]
    dfdy[indx[27], indx[38]] = 0
    dfdy[indx[27], indx[39]] = 0
    dfdy[indx[27], indx[40]] = 0
    dfdy[indx[27], indx[41]] = 0
    dfdy[indx[27], indx[42]] = 0
    dfdy[indx[27], indx[43]] = -k[418]*y[:,27]
    dfdy[indx[27], indx[44]] = 0
    dfdy[indx[27], indx[45]] = 0
    dfdy[indx[27], indx[46]] = 0
    dfdy[indx[27], indx[47]] = 0
    dfdy[indx[27], indx[48]] = 0
    dfdy[indx[27], indx[49]] = 0
    dfdy[indx[27], indx[50]] = 0
    dfdy[indx[27], indx[51]] = 0
    dfdy[indx[27], indx[52]] = 0
    dfdy[indx[28], indx[0]] = 0
    dfdy[indx[28], indx[1]] = M*k[455]*y[:,7]
    dfdy[indx[28], indx[2]] = -k[322]*y[:,28]
    dfdy[indx[28], indx[3]] = k[321]*y[:,37]
    dfdy[indx[28], indx[4]] = 0
    dfdy[indx[28], indx[5]] = 0
    dfdy[indx[28], indx[6]] = 0
    dfdy[indx[28], indx[7]] = M*k[455]*y[:,1]
    dfdy[indx[28], indx[8]] = 0
    dfdy[indx[28], indx[9]] = -k[126]*y[:,28] - k[156]*y[:,28]
    dfdy[indx[28], indx[10]] = k[125]*y[:,21]
    dfdy[indx[28], indx[11]] = M*k[491]*y[:,16]
    dfdy[indx[28], indx[12]] = 0
    dfdy[indx[28], indx[13]] = 0
    dfdy[indx[28], indx[14]] = 0
    dfdy[indx[28], indx[15]] = 0
    dfdy[indx[28], indx[16]] = M*k[491]*y[:,11] + k[155]*y[:,21]
    dfdy[indx[28], indx[17]] = 0
    dfdy[indx[28], indx[18]] = 0
    dfdy[indx[28], indx[19]] = 0
    dfdy[indx[28], indx[20]] = 0
    dfdy[indx[28], indx[21]] = k[125]*y[:,10] + k[155]*y[:,16]
    dfdy[indx[28], indx[22]] = 0
    dfdy[indx[28], indx[23]] = 0
    dfdy[indx[28], indx[24]] = 0
    dfdy[indx[28], indx[25]] = 0
    dfdy[indx[28], indx[26]] = 0
    dfdy[indx[28], indx[27]] = 0
    dfdy[indx[28], indx[28]] = -M*k[456] - M*k[492] - k[126]*y[:,9] - k[156]*y[:,9] - k[322]*y[:,2]
    dfdy[indx[28], indx[29]] = 0
    dfdy[indx[28], indx[30]] = 0
    dfdy[indx[28], indx[31]] = 0
    dfdy[indx[28], indx[32]] = 0
    dfdy[indx[28], indx[33]] = 0
    dfdy[indx[28], indx[34]] = 0
    dfdy[indx[28], indx[35]] = 0
    dfdy[indx[28], indx[36]] = 0
    dfdy[indx[28], indx[37]] = k[321]*y[:,3]
    dfdy[indx[28], indx[38]] = 0
    dfdy[indx[28], indx[39]] = 0
    dfdy[indx[28], indx[40]] = 0
    dfdy[indx[28], indx[41]] = 0
    dfdy[indx[28], indx[42]] = 0
    dfdy[indx[28], indx[43]] = 0
    dfdy[indx[28], indx[44]] = 0
    dfdy[indx[28], indx[45]] = 0
    dfdy[indx[28], indx[46]] = 0
    dfdy[indx[28], indx[47]] = 0
    dfdy[indx[28], indx[48]] = 0
    dfdy[indx[28], indx[49]] = 0
    dfdy[indx[28], indx[50]] = 0
    dfdy[indx[28], indx[51]] = 0
    dfdy[indx[28], indx[52]] = 0
    dfdy[indx[29], indx[0]] = 0
    dfdy[indx[29], indx[1]] = k[209]*y[:,14]
    dfdy[indx[29], indx[2]] = k[302]*y[:,10] + k[591]
    dfdy[indx[29], indx[3]] = -k[303]*y[:,29]
    dfdy[indx[29], indx[4]] = 0
    dfdy[indx[29], indx[5]] = 0
    dfdy[indx[29], indx[6]] = k[149]*y[:,10] + k[215]*y[:,14] + k[299]*y[:,9] + k[659]
    dfdy[indx[29], indx[7]] = 0
    dfdy[indx[29], indx[8]] = 0
    dfdy[indx[29], indx[9]] = k[299]*y[:,6] - k[660]*y[:,29]
    dfdy[indx[29], indx[10]] = k[149]*y[:,6] + k[302]*y[:,2] + k[304]*y[:,14] - k[592]*y[:,29]
    dfdy[indx[29], indx[11]] = -k[216]*y[:,29]
    dfdy[indx[29], indx[12]] = 0
    dfdy[indx[29], indx[13]] = -k[150]*y[:,29]
    dfdy[indx[29], indx[14]] = k[207]*y[:,23] + k[209]*y[:,1] + k[215]*y[:,6] + k[304]*y[:,10]
    dfdy[indx[29], indx[15]] = 0
    dfdy[indx[29], indx[16]] = 0
    dfdy[indx[29], indx[17]] = 0
    dfdy[indx[29], indx[18]] = 0
    dfdy[indx[29], indx[19]] = M*k[568]
    dfdy[indx[29], indx[20]] = -M*k[567]*y[:,29] - k[300]*y[:,29]
    dfdy[indx[29], indx[21]] = 0
    dfdy[indx[29], indx[22]] = 0
    dfdy[indx[29], indx[23]] = k[207]*y[:,14]
    dfdy[indx[29], indx[24]] = 0
    dfdy[indx[29], indx[25]] = 0
    dfdy[indx[29], indx[26]] = 0
    dfdy[indx[29], indx[27]] = -k[301]*y[:,29]
    dfdy[indx[29], indx[28]] = 0
    dfdy[indx[29], indx[29]] = -M*k[567]*y[:,20] - k[150]*y[:,13] - k[208]*y[:,30] - k[210]*y[:,30] - k[216]*y[:,11] - k[300]*y[:,20] - k[301]*y[:,27] - k[303]*y[:,3] - k[592]*y[:,10] - k[660]*y[:,9]
    dfdy[indx[29], indx[30]] = -k[208]*y[:,29] - k[210]*y[:,29]
    dfdy[indx[29], indx[31]] = 0
    dfdy[indx[29], indx[32]] = 0
    dfdy[indx[29], indx[33]] = 0
    dfdy[indx[29], indx[34]] = 0
    dfdy[indx[29], indx[35]] = 0
    dfdy[indx[29], indx[36]] = 0
    dfdy[indx[29], indx[37]] = 0
    dfdy[indx[29], indx[38]] = 0
    dfdy[indx[29], indx[39]] = 0
    dfdy[indx[29], indx[40]] = 0
    dfdy[indx[29], indx[41]] = 0
    dfdy[indx[29], indx[42]] = 0
    dfdy[indx[29], indx[43]] = 0
    dfdy[indx[29], indx[44]] = 0
    dfdy[indx[29], indx[45]] = 0
    dfdy[indx[29], indx[46]] = 0
    dfdy[indx[29], indx[47]] = 0
    dfdy[indx[29], indx[48]] = 0
    dfdy[indx[29], indx[49]] = 0
    dfdy[indx[29], indx[50]] = 0
    dfdy[indx[29], indx[51]] = 0
    dfdy[indx[29], indx[52]] = 0
    dfdy[indx[30], indx[0]] = -k[344]*y[:,30]
    dfdy[indx[30], indx[1]] = 2*M*k[531]*y[:,1] + k[181]*y[:,21] + k[183]*y[:,21] + k[197]*y[:,11] + k[209]*y[:,14] + k[225]*y[:,22] + k[347]*y[:,3]
    dfdy[indx[30], indx[2]] = 0
    dfdy[indx[30], indx[3]] = k[343]*y[:,8] + k[345]*y[:,23] + k[347]*y[:,1] + k[411]*y[:,24]
    dfdy[indx[30], indx[4]] = -k[184]*y[:,30]
    dfdy[indx[30], indx[5]] = 0
    dfdy[indx[30], indx[6]] = -k[198]*y[:,30] - k[206]*y[:,30]
    dfdy[indx[30], indx[7]] = 0
    dfdy[indx[30], indx[8]] = k[343]*y[:,3]
    dfdy[indx[30], indx[9]] = -2*k[220]*y[:,30]*y[:,9] - k[224]*y[:,30] - k[226]*y[:,30]
    dfdy[indx[30], indx[10]] = -k[346]*y[:,30] - k[348]*y[:,30]
    dfdy[indx[30], indx[11]] = k[197]*y[:,1]
    dfdy[indx[30], indx[12]] = 0
    dfdy[indx[30], indx[13]] = 0
    dfdy[indx[30], indx[14]] = k[205]*y[:,22] + k[207]*y[:,23] + k[209]*y[:,1]
    dfdy[indx[30], indx[15]] = -k[412]*y[:,30]
    dfdy[indx[30], indx[16]] = 0
    dfdy[indx[30], indx[17]] = 0
    dfdy[indx[30], indx[18]] = 0
    dfdy[indx[30], indx[19]] = -k[178]*y[:,30] - k[182]*y[:,30]
    dfdy[indx[30], indx[20]] = 0
    dfdy[indx[30], indx[21]] = k[177]*y[:,23] + k[181]*y[:,1] + k[183]*y[:,1]
    dfdy[indx[30], indx[22]] = k[205]*y[:,14] + 2*k[219]*y[:,22] + k[223]*y[:,23] + k[225]*y[:,1]
    dfdy[indx[30], indx[23]] = 2*M*k[523]*y[:,23] + k[177]*y[:,21] + k[207]*y[:,14] + k[223]*y[:,22] + k[345]*y[:,3] + 2*k[644]*y[:,23]
    dfdy[indx[30], indx[24]] = k[411]*y[:,3]
    dfdy[indx[30], indx[25]] = 0
    dfdy[indx[30], indx[26]] = 0
    dfdy[indx[30], indx[27]] = 0
    dfdy[indx[30], indx[28]] = 0
    dfdy[indx[30], indx[29]] = -k[208]*y[:,30] - k[210]*y[:,30]
    dfdy[indx[30], indx[30]] = -M*k[524] - M*k[532] - k[178]*y[:,19] - k[182]*y[:,19] - k[184]*y[:,4] - k[198]*y[:,6] - k[206]*y[:,6] - k[208]*y[:,29] - k[210]*y[:,29] - k[220]*y[:,9]**2 - k[224]*y[:,9] - k[226]*y[:,9] - k[344]*y[:,0] - k[346]*y[:,10] - k[348]*y[:,10] - k[412]*y[:,15] - k[643]
    dfdy[indx[30], indx[31]] = 0
    dfdy[indx[30], indx[32]] = 0
    dfdy[indx[30], indx[33]] = 0
    dfdy[indx[30], indx[34]] = 0
    dfdy[indx[30], indx[35]] = 0
    dfdy[indx[30], indx[36]] = 0
    dfdy[indx[30], indx[37]] = 0
    dfdy[indx[30], indx[38]] = 0
    dfdy[indx[30], indx[39]] = 0
    dfdy[indx[30], indx[40]] = 0
    dfdy[indx[30], indx[41]] = 0
    dfdy[indx[30], indx[42]] = 0
    dfdy[indx[30], indx[43]] = 0
    dfdy[indx[30], indx[44]] = 0
    dfdy[indx[30], indx[45]] = 0
    dfdy[indx[30], indx[46]] = 0
    dfdy[indx[30], indx[47]] = 0
    dfdy[indx[30], indx[48]] = 0
    dfdy[indx[30], indx[49]] = 0
    dfdy[indx[30], indx[50]] = 0
    dfdy[indx[30], indx[51]] = 0
    dfdy[indx[30], indx[52]] = 0
    dfdy[indx[31], indx[0]] = 0
    dfdy[indx[31], indx[1]] = 0
    dfdy[indx[31], indx[2]] = 0
    dfdy[indx[31], indx[3]] = 0
    dfdy[indx[31], indx[4]] = M*k[517]*y[:,14] + k[199]*y[:,11]
    dfdy[indx[31], indx[5]] = 0
    dfdy[indx[31], indx[6]] = M*k[509]*y[:,11] + k[185]*y[:,21]
    dfdy[indx[31], indx[7]] = 0
    dfdy[indx[31], indx[8]] = 0
    dfdy[indx[31], indx[9]] = -k[186]*y[:,31] - k[200]*y[:,31]
    dfdy[indx[31], indx[10]] = 0
    dfdy[indx[31], indx[11]] = M*k[509]*y[:,6] + k[199]*y[:,4]
    dfdy[indx[31], indx[12]] = 0
    dfdy[indx[31], indx[13]] = 0
    dfdy[indx[31], indx[14]] = M*k[515]*y[:,19] + M*k[517]*y[:,4]
    dfdy[indx[31], indx[15]] = 0
    dfdy[indx[31], indx[16]] = 0
    dfdy[indx[31], indx[17]] = 0
    dfdy[indx[31], indx[18]] = 0
    dfdy[indx[31], indx[19]] = M*k[515]*y[:,14]
    dfdy[indx[31], indx[20]] = 0
    dfdy[indx[31], indx[21]] = k[185]*y[:,6]
    dfdy[indx[31], indx[22]] = 0
    dfdy[indx[31], indx[23]] = 0
    dfdy[indx[31], indx[24]] = 0
    dfdy[indx[31], indx[25]] = 0
    dfdy[indx[31], indx[26]] = 0
    dfdy[indx[31], indx[27]] = 0
    dfdy[indx[31], indx[28]] = 0
    dfdy[indx[31], indx[29]] = 0
    dfdy[indx[31], indx[30]] = 0
    dfdy[indx[31], indx[31]] = -M*k[510] - M*k[516] - M*k[518] - k[186]*y[:,9] - k[200]*y[:,9]
    dfdy[indx[31], indx[32]] = 0
    dfdy[indx[31], indx[33]] = 0
    dfdy[indx[31], indx[34]] = 0
    dfdy[indx[31], indx[35]] = 0
    dfdy[indx[31], indx[36]] = 0
    dfdy[indx[31], indx[37]] = 0
    dfdy[indx[31], indx[38]] = 0
    dfdy[indx[31], indx[39]] = 0
    dfdy[indx[31], indx[40]] = 0
    dfdy[indx[31], indx[41]] = 0
    dfdy[indx[31], indx[42]] = 0
    dfdy[indx[31], indx[43]] = 0
    dfdy[indx[31], indx[44]] = 0
    dfdy[indx[31], indx[45]] = 0
    dfdy[indx[31], indx[46]] = 0
    dfdy[indx[31], indx[47]] = 0
    dfdy[indx[31], indx[48]] = 0
    dfdy[indx[31], indx[49]] = 0
    dfdy[indx[31], indx[50]] = 0
    dfdy[indx[31], indx[51]] = 0
    dfdy[indx[31], indx[52]] = 0
    dfdy[indx[32], indx[0]] = 0
    dfdy[indx[32], indx[1]] = 0
    dfdy[indx[32], indx[2]] = 0
    dfdy[indx[32], indx[3]] = 0
    dfdy[indx[32], indx[4]] = 0
    dfdy[indx[32], indx[5]] = 0
    dfdy[indx[32], indx[6]] = 0
    dfdy[indx[32], indx[7]] = 0
    dfdy[indx[32], indx[8]] = 0
    dfdy[indx[32], indx[9]] = -k[196]*y[:,32]
    dfdy[indx[32], indx[10]] = 0
    dfdy[indx[32], indx[11]] = k[195]*y[:,14]
    dfdy[indx[32], indx[12]] = 0
    dfdy[indx[32], indx[13]] = 0
    dfdy[indx[32], indx[14]] = 2*M*k[511]*y[:,14] + k[195]*y[:,11]
    dfdy[indx[32], indx[15]] = 0
    dfdy[indx[32], indx[16]] = 0
    dfdy[indx[32], indx[17]] = 0
    dfdy[indx[32], indx[18]] = 0
    dfdy[indx[32], indx[19]] = 0
    dfdy[indx[32], indx[20]] = 0
    dfdy[indx[32], indx[21]] = 0
    dfdy[indx[32], indx[22]] = 0
    dfdy[indx[32], indx[23]] = 0
    dfdy[indx[32], indx[24]] = 0
    dfdy[indx[32], indx[25]] = 0
    dfdy[indx[32], indx[26]] = 0
    dfdy[indx[32], indx[27]] = 0
    dfdy[indx[32], indx[28]] = 0
    dfdy[indx[32], indx[29]] = 0
    dfdy[indx[32], indx[30]] = 0
    dfdy[indx[32], indx[31]] = 0
    dfdy[indx[32], indx[32]] = -M*k[512] - k[196]*y[:,9]
    dfdy[indx[32], indx[33]] = 0
    dfdy[indx[32], indx[34]] = 0
    dfdy[indx[32], indx[35]] = 0
    dfdy[indx[32], indx[36]] = 0
    dfdy[indx[32], indx[37]] = 0
    dfdy[indx[32], indx[38]] = 0
    dfdy[indx[32], indx[39]] = 0
    dfdy[indx[32], indx[40]] = 0
    dfdy[indx[32], indx[41]] = 0
    dfdy[indx[32], indx[42]] = 0
    dfdy[indx[32], indx[43]] = 0
    dfdy[indx[32], indx[44]] = 0
    dfdy[indx[32], indx[45]] = 0
    dfdy[indx[32], indx[46]] = 0
    dfdy[indx[32], indx[47]] = 0
    dfdy[indx[32], indx[48]] = 0
    dfdy[indx[32], indx[49]] = 0
    dfdy[indx[32], indx[50]] = 0
    dfdy[indx[32], indx[51]] = 0
    dfdy[indx[32], indx[52]] = 0
    dfdy[indx[33], indx[0]] = 0
    dfdy[indx[33], indx[1]] = -k[451]*y[:,33]
    dfdy[indx[33], indx[2]] = 0
    dfdy[indx[33], indx[3]] = 0
    dfdy[indx[33], indx[4]] = 2*M*k[545]*y[:,4] + k[269]*y[:,17]
    dfdy[indx[33], indx[5]] = k[368]*y[:,19]
    dfdy[indx[33], indx[6]] = k[261]*y[:,18] + k[271]*y[:,17] + k[387]*y[:,40]
    dfdy[indx[33], indx[7]] = k[366]*y[:,17]
    dfdy[indx[33], indx[8]] = 0
    dfdy[indx[33], indx[9]] = -k[262]*y[:,33] - k[268]*y[:,33] - k[270]*y[:,33] + k[372]*y[:,15]*y[:,34] + k[374]*y[:,18]*y[:,34] + k[376]*y[:,39] + k[378]*y[:,11]*y[:,34] - k[380]*y[:,17]*y[:,33] - k[382]*y[:,13]*y[:,33] + k[383]*y[:,40] - k[384]*y[:,20]*y[:,33] - k[386]*y[:,15]*y[:,33] - k[392]*y[:,18]*y[:,33] - k[394]*y[:,33]*y[:,34] - k[396]*y[:,11]*y[:,33] - k[398]*y[:,13]*y[:,33] - k[422]*y[:,33]*y[:,43] + k[452]*y[:,46] + 2*k[604]*y[:,34]*y[:,9] + k[606]*y[:,48] - 2*k[610]*y[:,33]*y[:,9]
    dfdy[indx[33], indx[10]] = -k[365]*y[:,33] - k[367]*y[:,33] + k[381]*y[:,40]
    dfdy[indx[33], indx[11]] = k[370]*y[:,17] + k[378]*y[:,34]*y[:,9] - k[396]*y[:,33]*y[:,9]
    dfdy[indx[33], indx[12]] = 0
    dfdy[indx[33], indx[13]] = -k[371]*y[:,33] - k[382]*y[:,33]*y[:,9] + k[385]*y[:,40] - k[398]*y[:,33]*y[:,9]
    dfdy[indx[33], indx[14]] = -k[375]*y[:,33] - k[377]*y[:,33] + k[395]*y[:,40]
    dfdy[indx[33], indx[15]] = k[372]*y[:,34]*y[:,9] - k[386]*y[:,33]*y[:,9]
    dfdy[indx[33], indx[16]] = k[397]*y[:,40]
    dfdy[indx[33], indx[17]] = k[267]*y[:,19] + k[269]*y[:,4] + k[271]*y[:,6] + k[366]*y[:,7] + k[370]*y[:,11] - k[373]*y[:,33] - k[380]*y[:,33]*y[:,9] - k[388]*y[:,33] + k[391]*y[:,40]
    dfdy[indx[33], indx[18]] = k[261]*y[:,6] + k[374]*y[:,34]*y[:,9] - k[392]*y[:,33]*y[:,9]
    dfdy[indx[33], indx[19]] = 2*M*k[541]*y[:,19] + k[267]*y[:,17] + k[368]*y[:,5] + k[379]*y[:,40]
    dfdy[indx[33], indx[20]] = -k[384]*y[:,33]*y[:,9] + k[602]*y[:,34] - k[608]*y[:,33]
    dfdy[indx[33], indx[21]] = 0
    dfdy[indx[33], indx[22]] = 0
    dfdy[indx[33], indx[23]] = -k[369]*y[:,33]
    dfdy[indx[33], indx[24]] = k[421]*y[:,40]
    dfdy[indx[33], indx[25]] = 0
    dfdy[indx[33], indx[26]] = 0
    dfdy[indx[33], indx[27]] = 0
    dfdy[indx[33], indx[28]] = 0
    dfdy[indx[33], indx[29]] = 0
    dfdy[indx[33], indx[30]] = 0
    dfdy[indx[33], indx[31]] = 0
    dfdy[indx[33], indx[32]] = 0
    dfdy[indx[33], indx[33]] = -M*k[542] - M*k[546] - k[262]*y[:,9] - k[268]*y[:,9] - k[270]*y[:,9] - k[272] - k[365]*y[:,10] - k[367]*y[:,10] - k[369]*y[:,23] - k[371]*y[:,13] - k[373]*y[:,17] - k[375]*y[:,14] - k[377]*y[:,14] - k[380]*y[:,17]*y[:,9] - k[382]*y[:,13]*y[:,9] - k[384]*y[:,20]*y[:,9] - k[386]*y[:,15]*y[:,9] - k[388]*y[:,17] - k[392]*y[:,18]*y[:,9] - k[394]*y[:,34]*y[:,9] - k[396]*y[:,11]*y[:,9] - k[398]*y[:,13]*y[:,9] - k[422]*y[:,43]*y[:,9] - k[451]*y[:,1] - k[601] - k[603] - k[605] - k[608]*y[:,20] - k[610]*y[:,9]**2
    dfdy[indx[33], indx[34]] = k[372]*y[:,15]*y[:,9] + k[374]*y[:,18]*y[:,9] + k[378]*y[:,11]*y[:,9] - k[394]*y[:,33]*y[:,9] + k[602]*y[:,20] + k[604]*y[:,9]**2
    dfdy[indx[33], indx[35]] = k[393]*y[:,40]
    dfdy[indx[33], indx[36]] = 0
    dfdy[indx[33], indx[37]] = 0
    dfdy[indx[33], indx[38]] = 0
    dfdy[indx[33], indx[39]] = k[376]*y[:,9]
    dfdy[indx[33], indx[40]] = k[379]*y[:,19] + k[381]*y[:,10] + k[383]*y[:,9] + k[385]*y[:,13] + k[387]*y[:,6] + k[391]*y[:,17] + k[393]*y[:,35] + k[395]*y[:,14] + k[397]*y[:,16] + k[421]*y[:,24] + k[607] + k[609]
    dfdy[indx[33], indx[41]] = 0
    dfdy[indx[33], indx[42]] = 0
    dfdy[indx[33], indx[43]] = -k[422]*y[:,33]*y[:,9]
    dfdy[indx[33], indx[44]] = 0
    dfdy[indx[33], indx[45]] = 0
    dfdy[indx[33], indx[46]] = k[452]*y[:,9]
    dfdy[indx[33], indx[47]] = 0
    dfdy[indx[33], indx[48]] = k[606]*y[:,9]
    dfdy[indx[33], indx[49]] = 0
    dfdy[indx[33], indx[50]] = 0
    dfdy[indx[33], indx[51]] = 0
    dfdy[indx[33], indx[52]] = 0
    dfdy[indx[34], indx[0]] = 0
    dfdy[indx[34], indx[1]] = 0
    dfdy[indx[34], indx[2]] = k[360]*y[:,19]
    dfdy[indx[34], indx[3]] = 0
    dfdy[indx[34], indx[4]] = k[279]*y[:,19] + 2*k[287]*y[:,4] + k[289]*y[:,6]
    dfdy[indx[34], indx[5]] = 0
    dfdy[indx[34], indx[6]] = 2*M*k[551]*y[:,6] + k[273]*y[:,17] + k[281]*y[:,19] + k[289]*y[:,4]
    dfdy[indx[34], indx[7]] = 0
    dfdy[indx[34], indx[8]] = 0
    dfdy[indx[34], indx[9]] = M*k[565]*y[:,35] - 2*k[274]*y[:,34]*y[:,9] - 2*k[280]*y[:,34]*y[:,9] - k[282]*y[:,34] - k[290]*y[:,34] - k[352]*y[:,34] + k[362]*y[:,38] - k[372]*y[:,15]*y[:,34] - k[374]*y[:,18]*y[:,34] - k[378]*y[:,11]*y[:,34] - k[394]*y[:,33]*y[:,34] - k[454]*y[:,34]*y[:,46] + k[596]*y[:,35] - 2*k[604]*y[:,34]*y[:,9]
    dfdy[indx[34], indx[10]] = -k[354]*y[:,34] - k[359]*y[:,34]
    dfdy[indx[34], indx[11]] = k[364]*y[:,35] - k[378]*y[:,34]*y[:,9]
    dfdy[indx[34], indx[12]] = 0
    dfdy[indx[34], indx[13]] = k[353]*y[:,35] + k[371]*y[:,33]
    dfdy[indx[34], indx[14]] = -k[361]*y[:,34] - k[363]*y[:,34] + k[377]*y[:,33] + k[453]*y[:,41]
    dfdy[indx[34], indx[15]] = -k[372]*y[:,34]*y[:,9]
    dfdy[indx[34], indx[16]] = 0
    dfdy[indx[34], indx[17]] = k[273]*y[:,6] - k[326]*y[:,34] + k[373]*y[:,33]
    dfdy[indx[34], indx[18]] = k[325]*y[:,35] - k[374]*y[:,34]*y[:,9]
    dfdy[indx[34], indx[19]] = 2*k[277]*y[:,19] + k[279]*y[:,4] + k[281]*y[:,6] + k[360]*y[:,2]
    dfdy[indx[34], indx[20]] = -k[278]*y[:,34] - k[288]*y[:,34] + k[351]*y[:,35] - k[602]*y[:,34] - 2*k[612]*y[:,20]*y[:,34]
    dfdy[indx[34], indx[21]] = 0
    dfdy[indx[34], indx[22]] = 0
    dfdy[indx[34], indx[23]] = 0
    dfdy[indx[34], indx[24]] = 0
    dfdy[indx[34], indx[25]] = 0
    dfdy[indx[34], indx[26]] = 0
    dfdy[indx[34], indx[27]] = 0
    dfdy[indx[34], indx[28]] = 0
    dfdy[indx[34], indx[29]] = 0
    dfdy[indx[34], indx[30]] = 0
    dfdy[indx[34], indx[31]] = 0
    dfdy[indx[34], indx[32]] = 0
    dfdy[indx[34], indx[33]] = k[371]*y[:,13] + k[373]*y[:,17] + k[377]*y[:,14] - k[394]*y[:,34]*y[:,9] + k[601] + k[603]
    dfdy[indx[34], indx[34]] = -M*k[552] - M*k[566] - k[274]*y[:,9]**2 - k[278]*y[:,20] - k[280]*y[:,9]**2 - k[282]*y[:,9] - k[288]*y[:,20] - k[290]*y[:,9] - k[326]*y[:,17] - k[352]*y[:,9] - k[354]*y[:,10] - k[359]*y[:,10] - k[361]*y[:,14] - k[363]*y[:,14] - k[372]*y[:,15]*y[:,9] - k[374]*y[:,18]*y[:,9] - k[378]*y[:,11]*y[:,9] - k[394]*y[:,33]*y[:,9] - k[402]*y[:,42] - k[454]*y[:,46]*y[:,9] - k[595] - k[602]*y[:,20] - k[604]*y[:,9]**2 - k[612]*y[:,20]**2
    dfdy[indx[34], indx[35]] = M*k[565]*y[:,9] + k[325]*y[:,18] + k[351]*y[:,20] + k[353]*y[:,13] + k[364]*y[:,11] + k[393]*y[:,40] + k[401]*y[:,41] + k[596]*y[:,9]
    dfdy[indx[34], indx[36]] = 0
    dfdy[indx[34], indx[37]] = 0
    dfdy[indx[34], indx[38]] = k[362]*y[:,9]
    dfdy[indx[34], indx[39]] = 0
    dfdy[indx[34], indx[40]] = k[393]*y[:,35] + k[611]
    dfdy[indx[34], indx[41]] = k[401]*y[:,35] + k[453]*y[:,14]
    dfdy[indx[34], indx[42]] = -k[402]*y[:,34]
    dfdy[indx[34], indx[43]] = 0
    dfdy[indx[34], indx[44]] = 0
    dfdy[indx[34], indx[45]] = 0
    dfdy[indx[34], indx[46]] = -k[454]*y[:,34]*y[:,9]
    dfdy[indx[34], indx[47]] = 0
    dfdy[indx[34], indx[48]] = 0
    dfdy[indx[34], indx[49]] = 0
    dfdy[indx[34], indx[50]] = 0
    dfdy[indx[34], indx[51]] = 0
    dfdy[indx[34], indx[52]] = 0
    dfdy[indx[35], indx[0]] = 0
    dfdy[indx[35], indx[1]] = 0
    dfdy[indx[35], indx[2]] = k[324]*y[:,6] + k[336]*y[:,7] + k[356]*y[:,19]
    dfdy[indx[35], indx[3]] = 0
    dfdy[indx[35], indx[4]] = 0
    dfdy[indx[35], indx[5]] = 0
    dfdy[indx[35], indx[6]] = k[283]*y[:,19] + 2*k[297]*y[:,6] + k[324]*y[:,2]
    dfdy[indx[35], indx[7]] = k[336]*y[:,2]
    dfdy[indx[35], indx[8]] = 0
    dfdy[indx[35], indx[9]] = -M*k[565]*y[:,35] - 2*k[284]*y[:,35]*y[:,9] - k[298]*y[:,35] + k[352]*y[:,34] + k[394]*y[:,33]*y[:,34] + k[404]*y[:,38] - k[596]*y[:,35]
    dfdy[indx[35], indx[10]] = -k[323]*y[:,35] + k[334]*y[:,37] + k[354]*y[:,34]
    dfdy[indx[35], indx[11]] = -k[364]*y[:,35] - k[403]*y[:,35]
    dfdy[indx[35], indx[12]] = 0
    dfdy[indx[35], indx[13]] = -k[353]*y[:,35] - k[355]*y[:,35] + k[358]*y[:,37]
    dfdy[indx[35], indx[14]] = k[363]*y[:,34]
    dfdy[indx[35], indx[15]] = 0
    dfdy[indx[35], indx[16]] = 0
    dfdy[indx[35], indx[17]] = k[326]*y[:,34]
    dfdy[indx[35], indx[18]] = -k[325]*y[:,35]
    dfdy[indx[35], indx[19]] = k[283]*y[:,6] + k[356]*y[:,2]
    dfdy[indx[35], indx[20]] = -k[351]*y[:,35]
    dfdy[indx[35], indx[21]] = 0
    dfdy[indx[35], indx[22]] = 0
    dfdy[indx[35], indx[23]] = 0
    dfdy[indx[35], indx[24]] = 0
    dfdy[indx[35], indx[25]] = 0
    dfdy[indx[35], indx[26]] = 0
    dfdy[indx[35], indx[27]] = -k[333]*y[:,35] - k[335]*y[:,35]
    dfdy[indx[35], indx[28]] = 0
    dfdy[indx[35], indx[29]] = 0
    dfdy[indx[35], indx[30]] = 0
    dfdy[indx[35], indx[31]] = 0
    dfdy[indx[35], indx[32]] = 0
    dfdy[indx[35], indx[33]] = k[394]*y[:,34]*y[:,9]
    dfdy[indx[35], indx[34]] = M*k[566] + k[326]*y[:,17] + k[352]*y[:,9] + k[354]*y[:,10] + k[363]*y[:,14] + k[394]*y[:,33]*y[:,9] + k[402]*y[:,42] + k[595]
    dfdy[indx[35], indx[35]] = -M*k[565]*y[:,9] - k[284]*y[:,9]**2 - k[298]*y[:,9] - k[323]*y[:,10] - k[325]*y[:,18] - k[333]*y[:,27] - k[335]*y[:,27] - k[351]*y[:,20] - k[353]*y[:,13] - k[355]*y[:,13] - k[357]*y[:,36] - k[364]*y[:,11] - k[393]*y[:,40] - k[401]*y[:,41] - k[403]*y[:,11] - k[596]*y[:,9]
    dfdy[indx[35], indx[36]] = -k[357]*y[:,35]
    dfdy[indx[35], indx[37]] = k[334]*y[:,10] + k[358]*y[:,13]
    dfdy[indx[35], indx[38]] = k[404]*y[:,9]
    dfdy[indx[35], indx[39]] = 0
    dfdy[indx[35], indx[40]] = -k[393]*y[:,35]
    dfdy[indx[35], indx[41]] = -k[401]*y[:,35]
    dfdy[indx[35], indx[42]] = k[402]*y[:,34]
    dfdy[indx[35], indx[43]] = 0
    dfdy[indx[35], indx[44]] = 0
    dfdy[indx[35], indx[45]] = 0
    dfdy[indx[35], indx[46]] = 0
    dfdy[indx[35], indx[47]] = 0
    dfdy[indx[35], indx[48]] = 0
    dfdy[indx[35], indx[49]] = 0
    dfdy[indx[35], indx[50]] = 0
    dfdy[indx[35], indx[51]] = 0
    dfdy[indx[35], indx[52]] = 0
    dfdy[indx[36], indx[0]] = 0
    dfdy[indx[36], indx[1]] = 0
    dfdy[indx[36], indx[2]] = -k[332]*y[:,36]
    dfdy[indx[36], indx[3]] = 0
    dfdy[indx[36], indx[4]] = 0
    dfdy[indx[36], indx[5]] = 0
    dfdy[indx[36], indx[6]] = 0
    dfdy[indx[36], indx[7]] = k[331]*y[:,27]
    dfdy[indx[36], indx[8]] = 0
    dfdy[indx[36], indx[9]] = M*k[569]*y[:,27] - k[307]*y[:,36] - k[309]*y[:,36] - k[311]*y[:,36]
    dfdy[indx[36], indx[10]] = M*k[471]*y[:,13] - k[305]*y[:,36] + k[308]*y[:,15] + k[640]*y[:,13]
    dfdy[indx[36], indx[11]] = 0
    dfdy[indx[36], indx[12]] = 0
    dfdy[indx[36], indx[13]] = M*k[471]*y[:,10] + M*k[473]*y[:,16] + k[306]*y[:,27] + 2*k[310]*y[:,13] - k[313]*y[:,36] + k[358]*y[:,37] + k[640]*y[:,10]
    dfdy[indx[36], indx[14]] = 0
    dfdy[indx[36], indx[15]] = k[308]*y[:,10] + k[314]*y[:,27] + k[416]*y[:,25]
    dfdy[indx[36], indx[16]] = M*k[473]*y[:,13]
    dfdy[indx[36], indx[17]] = 0
    dfdy[indx[36], indx[18]] = 0
    dfdy[indx[36], indx[19]] = 0
    dfdy[indx[36], indx[20]] = k[312]*y[:,27]
    dfdy[indx[36], indx[21]] = 0
    dfdy[indx[36], indx[22]] = 0
    dfdy[indx[36], indx[23]] = 0
    dfdy[indx[36], indx[24]] = -k[415]*y[:,36] - k[417]*y[:,36]
    dfdy[indx[36], indx[25]] = k[416]*y[:,15]
    dfdy[indx[36], indx[26]] = 0
    dfdy[indx[36], indx[27]] = M*k[569]*y[:,9] + k[306]*y[:,13] + k[312]*y[:,20] + k[314]*y[:,15] + k[331]*y[:,7] + k[418]*y[:,43]
    dfdy[indx[36], indx[28]] = 0
    dfdy[indx[36], indx[29]] = 0
    dfdy[indx[36], indx[30]] = 0
    dfdy[indx[36], indx[31]] = 0
    dfdy[indx[36], indx[32]] = 0
    dfdy[indx[36], indx[33]] = 0
    dfdy[indx[36], indx[34]] = 0
    dfdy[indx[36], indx[35]] = -k[357]*y[:,36]
    dfdy[indx[36], indx[36]] = -M*k[472] - M*k[474] - M*k[570] - k[305]*y[:,10] - k[307]*y[:,9] - k[309]*y[:,9] - k[311]*y[:,9] - k[313]*y[:,13] - k[332]*y[:,2] - k[357]*y[:,35] - k[415]*y[:,24] - k[417]*y[:,24] - k[639]
    dfdy[indx[36], indx[37]] = k[358]*y[:,13]
    dfdy[indx[36], indx[38]] = 0
    dfdy[indx[36], indx[39]] = 0
    dfdy[indx[36], indx[40]] = 0
    dfdy[indx[36], indx[41]] = 0
    dfdy[indx[36], indx[42]] = 0
    dfdy[indx[36], indx[43]] = k[418]*y[:,27]
    dfdy[indx[36], indx[44]] = 0
    dfdy[indx[36], indx[45]] = 0
    dfdy[indx[36], indx[46]] = 0
    dfdy[indx[36], indx[47]] = 0
    dfdy[indx[36], indx[48]] = 0
    dfdy[indx[36], indx[49]] = 0
    dfdy[indx[36], indx[50]] = 0
    dfdy[indx[36], indx[51]] = 0
    dfdy[indx[36], indx[52]] = 0
    dfdy[indx[37], indx[0]] = k[320]*y[:,11]
    dfdy[indx[37], indx[1]] = 0
    dfdy[indx[37], indx[2]] = M*k[463]*y[:,6] + k[316]*y[:,19] + 2*k[318]*y[:,2]*y[:,9] + k[322]*y[:,28]
    dfdy[indx[37], indx[3]] = -k[319]*y[:,37] - k[321]*y[:,37]
    dfdy[indx[37], indx[4]] = 0
    dfdy[indx[37], indx[5]] = 0
    dfdy[indx[37], indx[6]] = M*k[463]*y[:,2]
    dfdy[indx[37], indx[7]] = 0
    dfdy[indx[37], indx[8]] = 0
    dfdy[indx[37], indx[9]] = -k[315]*y[:,37] + k[318]*y[:,2]**2
    dfdy[indx[37], indx[10]] = -k[317]*y[:,37] - k[334]*y[:,37]
    dfdy[indx[37], indx[11]] = k[320]*y[:,0]
    dfdy[indx[37], indx[12]] = 0
    dfdy[indx[37], indx[13]] = -k[358]*y[:,37]
    dfdy[indx[37], indx[14]] = 0
    dfdy[indx[37], indx[15]] = 0
    dfdy[indx[37], indx[16]] = 0
    dfdy[indx[37], indx[17]] = 0
    dfdy[indx[37], indx[18]] = 0
    dfdy[indx[37], indx[19]] = k[316]*y[:,2]
    dfdy[indx[37], indx[20]] = 0
    dfdy[indx[37], indx[21]] = 0
    dfdy[indx[37], indx[22]] = 0
    dfdy[indx[37], indx[23]] = 0
    dfdy[indx[37], indx[24]] = 0
    dfdy[indx[37], indx[25]] = 0
    dfdy[indx[37], indx[26]] = 0
    dfdy[indx[37], indx[27]] = k[333]*y[:,35]
    dfdy[indx[37], indx[28]] = k[322]*y[:,2]
    dfdy[indx[37], indx[29]] = 0
    dfdy[indx[37], indx[30]] = 0
    dfdy[indx[37], indx[31]] = 0
    dfdy[indx[37], indx[32]] = 0
    dfdy[indx[37], indx[33]] = 0
    dfdy[indx[37], indx[34]] = 0
    dfdy[indx[37], indx[35]] = k[333]*y[:,27] + k[357]*y[:,36]
    dfdy[indx[37], indx[36]] = k[357]*y[:,35]
    dfdy[indx[37], indx[37]] = -M*k[464] - k[315]*y[:,9] - k[317]*y[:,10] - k[319]*y[:,3] - k[321]*y[:,3] - k[334]*y[:,10] - k[358]*y[:,13]
    dfdy[indx[37], indx[38]] = 0
    dfdy[indx[37], indx[39]] = 0
    dfdy[indx[37], indx[40]] = 0
    dfdy[indx[37], indx[41]] = 0
    dfdy[indx[37], indx[42]] = 0
    dfdy[indx[37], indx[43]] = 0
    dfdy[indx[37], indx[44]] = 0
    dfdy[indx[37], indx[45]] = 0
    dfdy[indx[37], indx[46]] = 0
    dfdy[indx[37], indx[47]] = 0
    dfdy[indx[37], indx[48]] = 0
    dfdy[indx[37], indx[49]] = 0
    dfdy[indx[37], indx[50]] = 0
    dfdy[indx[37], indx[51]] = 0
    dfdy[indx[37], indx[52]] = 0
    dfdy[indx[38], indx[0]] = 0
    dfdy[indx[38], indx[1]] = 0
    dfdy[indx[38], indx[2]] = 0
    dfdy[indx[38], indx[3]] = 0
    dfdy[indx[38], indx[4]] = 0
    dfdy[indx[38], indx[5]] = 0
    dfdy[indx[38], indx[6]] = 0
    dfdy[indx[38], indx[7]] = 0
    dfdy[indx[38], indx[8]] = 0
    dfdy[indx[38], indx[9]] = -k[362]*y[:,38] - k[404]*y[:,38]
    dfdy[indx[38], indx[10]] = 0
    dfdy[indx[38], indx[11]] = k[403]*y[:,35]
    dfdy[indx[38], indx[12]] = 0
    dfdy[indx[38], indx[13]] = 0
    dfdy[indx[38], indx[14]] = k[361]*y[:,34]
    dfdy[indx[38], indx[15]] = 0
    dfdy[indx[38], indx[16]] = 0
    dfdy[indx[38], indx[17]] = 0
    dfdy[indx[38], indx[18]] = 0
    dfdy[indx[38], indx[19]] = 0
    dfdy[indx[38], indx[20]] = 0
    dfdy[indx[38], indx[21]] = 0
    dfdy[indx[38], indx[22]] = 0
    dfdy[indx[38], indx[23]] = 0
    dfdy[indx[38], indx[24]] = 0
    dfdy[indx[38], indx[25]] = 0
    dfdy[indx[38], indx[26]] = 0
    dfdy[indx[38], indx[27]] = 0
    dfdy[indx[38], indx[28]] = 0
    dfdy[indx[38], indx[29]] = 0
    dfdy[indx[38], indx[30]] = 0
    dfdy[indx[38], indx[31]] = 0
    dfdy[indx[38], indx[32]] = 0
    dfdy[indx[38], indx[33]] = 0
    dfdy[indx[38], indx[34]] = k[361]*y[:,14]
    dfdy[indx[38], indx[35]] = k[403]*y[:,11]
    dfdy[indx[38], indx[36]] = 0
    dfdy[indx[38], indx[37]] = 0
    dfdy[indx[38], indx[38]] = -k[362]*y[:,9] - k[404]*y[:,9]
    dfdy[indx[38], indx[39]] = 0
    dfdy[indx[38], indx[40]] = 0
    dfdy[indx[38], indx[41]] = 0
    dfdy[indx[38], indx[42]] = 0
    dfdy[indx[38], indx[43]] = 0
    dfdy[indx[38], indx[44]] = 0
    dfdy[indx[38], indx[45]] = 0
    dfdy[indx[38], indx[46]] = 0
    dfdy[indx[38], indx[47]] = 0
    dfdy[indx[38], indx[48]] = 0
    dfdy[indx[38], indx[49]] = 0
    dfdy[indx[38], indx[50]] = 0
    dfdy[indx[38], indx[51]] = 0
    dfdy[indx[38], indx[52]] = 0
    dfdy[indx[39], indx[0]] = 0
    dfdy[indx[39], indx[1]] = 0
    dfdy[indx[39], indx[2]] = 0
    dfdy[indx[39], indx[3]] = 0
    dfdy[indx[39], indx[4]] = 0
    dfdy[indx[39], indx[5]] = 0
    dfdy[indx[39], indx[6]] = 0
    dfdy[indx[39], indx[7]] = 0
    dfdy[indx[39], indx[8]] = 0
    dfdy[indx[39], indx[9]] = -k[376]*y[:,39]
    dfdy[indx[39], indx[10]] = 0
    dfdy[indx[39], indx[11]] = 0
    dfdy[indx[39], indx[12]] = 0
    dfdy[indx[39], indx[13]] = 0
    dfdy[indx[39], indx[14]] = k[375]*y[:,33]
    dfdy[indx[39], indx[15]] = 0
    dfdy[indx[39], indx[16]] = 0
    dfdy[indx[39], indx[17]] = 0
    dfdy[indx[39], indx[18]] = 0
    dfdy[indx[39], indx[19]] = 0
    dfdy[indx[39], indx[20]] = 0
    dfdy[indx[39], indx[21]] = 0
    dfdy[indx[39], indx[22]] = 0
    dfdy[indx[39], indx[23]] = 0
    dfdy[indx[39], indx[24]] = 0
    dfdy[indx[39], indx[25]] = 0
    dfdy[indx[39], indx[26]] = 0
    dfdy[indx[39], indx[27]] = 0
    dfdy[indx[39], indx[28]] = 0
    dfdy[indx[39], indx[29]] = 0
    dfdy[indx[39], indx[30]] = 0
    dfdy[indx[39], indx[31]] = 0
    dfdy[indx[39], indx[32]] = 0
    dfdy[indx[39], indx[33]] = k[375]*y[:,14]
    dfdy[indx[39], indx[34]] = 0
    dfdy[indx[39], indx[35]] = 0
    dfdy[indx[39], indx[36]] = 0
    dfdy[indx[39], indx[37]] = 0
    dfdy[indx[39], indx[38]] = 0
    dfdy[indx[39], indx[39]] = -k[376]*y[:,9]
    dfdy[indx[39], indx[40]] = 0
    dfdy[indx[39], indx[41]] = 0
    dfdy[indx[39], indx[42]] = 0
    dfdy[indx[39], indx[43]] = 0
    dfdy[indx[39], indx[44]] = 0
    dfdy[indx[39], indx[45]] = 0
    dfdy[indx[39], indx[46]] = 0
    dfdy[indx[39], indx[47]] = 0
    dfdy[indx[39], indx[48]] = 0
    dfdy[indx[39], indx[49]] = 0
    dfdy[indx[39], indx[50]] = 0
    dfdy[indx[39], indx[51]] = 0
    dfdy[indx[39], indx[52]] = 0
    dfdy[indx[40], indx[0]] = 0
    dfdy[indx[40], indx[1]] = 0
    dfdy[indx[40], indx[2]] = 0
    dfdy[indx[40], indx[3]] = 0
    dfdy[indx[40], indx[4]] = M*k[535]*y[:,18] + k[614]*y[:,18]
    dfdy[indx[40], indx[5]] = 0
    dfdy[indx[40], indx[6]] = -k[387]*y[:,40] - k[389]*y[:,40]
    dfdy[indx[40], indx[7]] = 0
    dfdy[indx[40], indx[8]] = 0
    dfdy[indx[40], indx[9]] = k[380]*y[:,17]*y[:,33] + k[382]*y[:,13]*y[:,33] - k[383]*y[:,40] + k[384]*y[:,20]*y[:,33] + k[386]*y[:,15]*y[:,33] + k[390]*y[:,41] + k[392]*y[:,18]*y[:,33] + k[394]*y[:,33]*y[:,34] + k[396]*y[:,11]*y[:,33] + k[398]*y[:,13]*y[:,33] + k[422]*y[:,33]*y[:,43] + 2*k[610]*y[:,33]*y[:,9]
    dfdy[indx[40], indx[10]] = -k[381]*y[:,40]
    dfdy[indx[40], indx[11]] = k[396]*y[:,33]*y[:,9]
    dfdy[indx[40], indx[12]] = 0
    dfdy[indx[40], indx[13]] = k[382]*y[:,33]*y[:,9] - k[385]*y[:,40] + k[398]*y[:,33]*y[:,9]
    dfdy[indx[40], indx[14]] = -k[395]*y[:,40]
    dfdy[indx[40], indx[15]] = k[386]*y[:,33]*y[:,9]
    dfdy[indx[40], indx[16]] = -k[397]*y[:,40]
    dfdy[indx[40], indx[17]] = 2*M*k[537]*y[:,17] + k[380]*y[:,33]*y[:,9] + k[388]*y[:,33] - k[391]*y[:,40] + 2*k[616]*y[:,17]
    dfdy[indx[40], indx[18]] = M*k[535]*y[:,4] + k[392]*y[:,33]*y[:,9] + k[614]*y[:,4]
    dfdy[indx[40], indx[19]] = -k[379]*y[:,40]
    dfdy[indx[40], indx[20]] = k[384]*y[:,33]*y[:,9] + k[608]*y[:,33] + 2*k[612]*y[:,20]*y[:,34]
    dfdy[indx[40], indx[21]] = 0
    dfdy[indx[40], indx[22]] = 0
    dfdy[indx[40], indx[23]] = 0
    dfdy[indx[40], indx[24]] = -k[421]*y[:,40]
    dfdy[indx[40], indx[25]] = 0
    dfdy[indx[40], indx[26]] = 0
    dfdy[indx[40], indx[27]] = 0
    dfdy[indx[40], indx[28]] = 0
    dfdy[indx[40], indx[29]] = 0
    dfdy[indx[40], indx[30]] = 0
    dfdy[indx[40], indx[31]] = 0
    dfdy[indx[40], indx[32]] = 0
    dfdy[indx[40], indx[33]] = k[380]*y[:,17]*y[:,9] + k[382]*y[:,13]*y[:,9] + k[384]*y[:,20]*y[:,9] + k[386]*y[:,15]*y[:,9] + k[388]*y[:,17] + k[392]*y[:,18]*y[:,9] + k[394]*y[:,34]*y[:,9] + k[396]*y[:,11]*y[:,9] + k[398]*y[:,13]*y[:,9] + k[422]*y[:,43]*y[:,9] + k[608]*y[:,20] + k[610]*y[:,9]**2
    dfdy[indx[40], indx[34]] = k[394]*y[:,33]*y[:,9] + k[612]*y[:,20]**2
    dfdy[indx[40], indx[35]] = -k[393]*y[:,40]
    dfdy[indx[40], indx[36]] = 0
    dfdy[indx[40], indx[37]] = 0
    dfdy[indx[40], indx[38]] = 0
    dfdy[indx[40], indx[39]] = 0
    dfdy[indx[40], indx[40]] = -M*k[536] - M*k[538] - k[379]*y[:,19] - k[381]*y[:,10] - k[383]*y[:,9] - k[385]*y[:,13] - k[387]*y[:,6] - k[389]*y[:,6] - k[391]*y[:,17] - k[393]*y[:,35] - k[395]*y[:,14] - k[397]*y[:,16] - k[421]*y[:,24] - k[607] - k[609] - k[611] - k[613] - k[615]
    dfdy[indx[40], indx[41]] = k[390]*y[:,9]
    dfdy[indx[40], indx[42]] = 0
    dfdy[indx[40], indx[43]] = k[422]*y[:,33]*y[:,9]
    dfdy[indx[40], indx[44]] = 0
    dfdy[indx[40], indx[45]] = 0
    dfdy[indx[40], indx[46]] = 0
    dfdy[indx[40], indx[47]] = 0
    dfdy[indx[40], indx[48]] = 0
    dfdy[indx[40], indx[49]] = 0
    dfdy[indx[40], indx[50]] = 0
    dfdy[indx[40], indx[51]] = 0
    dfdy[indx[40], indx[52]] = 0
    dfdy[indx[41], indx[0]] = 0
    dfdy[indx[41], indx[1]] = 0
    dfdy[indx[41], indx[2]] = 0
    dfdy[indx[41], indx[3]] = 0
    dfdy[indx[41], indx[4]] = 0
    dfdy[indx[41], indx[5]] = 0
    dfdy[indx[41], indx[6]] = k[389]*y[:,40]
    dfdy[indx[41], indx[7]] = 0
    dfdy[indx[41], indx[8]] = 0
    dfdy[indx[41], indx[9]] = -k[390]*y[:,41] + k[454]*y[:,34]*y[:,46]
    dfdy[indx[41], indx[10]] = 0
    dfdy[indx[41], indx[11]] = 0
    dfdy[indx[41], indx[12]] = 0
    dfdy[indx[41], indx[13]] = 0
    dfdy[indx[41], indx[14]] = -k[453]*y[:,41]
    dfdy[indx[41], indx[15]] = 0
    dfdy[indx[41], indx[16]] = 0
    dfdy[indx[41], indx[17]] = 0
    dfdy[indx[41], indx[18]] = 0
    dfdy[indx[41], indx[19]] = 0
    dfdy[indx[41], indx[20]] = 0
    dfdy[indx[41], indx[21]] = 0
    dfdy[indx[41], indx[22]] = 0
    dfdy[indx[41], indx[23]] = 0
    dfdy[indx[41], indx[24]] = 0
    dfdy[indx[41], indx[25]] = 0
    dfdy[indx[41], indx[26]] = 0
    dfdy[indx[41], indx[27]] = 0
    dfdy[indx[41], indx[28]] = 0
    dfdy[indx[41], indx[29]] = 0
    dfdy[indx[41], indx[30]] = 0
    dfdy[indx[41], indx[31]] = 0
    dfdy[indx[41], indx[32]] = 0
    dfdy[indx[41], indx[33]] = 0
    dfdy[indx[41], indx[34]] = k[402]*y[:,42] + k[454]*y[:,46]*y[:,9]
    dfdy[indx[41], indx[35]] = -k[401]*y[:,41]
    dfdy[indx[41], indx[36]] = 0
    dfdy[indx[41], indx[37]] = 0
    dfdy[indx[41], indx[38]] = 0
    dfdy[indx[41], indx[39]] = 0
    dfdy[indx[41], indx[40]] = k[389]*y[:,6]
    dfdy[indx[41], indx[41]] = -k[390]*y[:,9] - k[401]*y[:,35] - k[453]*y[:,14]
    dfdy[indx[41], indx[42]] = k[402]*y[:,34]
    dfdy[indx[41], indx[43]] = 0
    dfdy[indx[41], indx[44]] = 0
    dfdy[indx[41], indx[45]] = 0
    dfdy[indx[41], indx[46]] = k[454]*y[:,34]*y[:,9]
    dfdy[indx[41], indx[47]] = 0
    dfdy[indx[41], indx[48]] = 0
    dfdy[indx[41], indx[49]] = 0
    dfdy[indx[41], indx[50]] = 0
    dfdy[indx[41], indx[51]] = 0
    dfdy[indx[41], indx[52]] = 0
    dfdy[indx[42], indx[0]] = 0
    dfdy[indx[42], indx[1]] = 0
    dfdy[indx[42], indx[2]] = 0
    dfdy[indx[42], indx[3]] = 0
    dfdy[indx[42], indx[4]] = 0
    dfdy[indx[42], indx[5]] = 0
    dfdy[indx[42], indx[6]] = 0
    dfdy[indx[42], indx[7]] = 0
    dfdy[indx[42], indx[8]] = 0
    dfdy[indx[42], indx[9]] = 0
    dfdy[indx[42], indx[10]] = 0
    dfdy[indx[42], indx[11]] = 0
    dfdy[indx[42], indx[12]] = 0
    dfdy[indx[42], indx[13]] = 0
    dfdy[indx[42], indx[14]] = 0
    dfdy[indx[42], indx[15]] = 0
    dfdy[indx[42], indx[16]] = 0
    dfdy[indx[42], indx[17]] = 0
    dfdy[indx[42], indx[18]] = 0
    dfdy[indx[42], indx[19]] = 0
    dfdy[indx[42], indx[20]] = 0
    dfdy[indx[42], indx[21]] = 0
    dfdy[indx[42], indx[22]] = 0
    dfdy[indx[42], indx[23]] = 0
    dfdy[indx[42], indx[24]] = 0
    dfdy[indx[42], indx[25]] = 0
    dfdy[indx[42], indx[26]] = 0
    dfdy[indx[42], indx[27]] = 0
    dfdy[indx[42], indx[28]] = 0
    dfdy[indx[42], indx[29]] = 0
    dfdy[indx[42], indx[30]] = 0
    dfdy[indx[42], indx[31]] = 0
    dfdy[indx[42], indx[32]] = 0
    dfdy[indx[42], indx[33]] = 0
    dfdy[indx[42], indx[34]] = -k[402]*y[:,42]
    dfdy[indx[42], indx[35]] = k[401]*y[:,41]
    dfdy[indx[42], indx[36]] = 0
    dfdy[indx[42], indx[37]] = 0
    dfdy[indx[42], indx[38]] = 0
    dfdy[indx[42], indx[39]] = 0
    dfdy[indx[42], indx[40]] = 0
    dfdy[indx[42], indx[41]] = k[401]*y[:,35]
    dfdy[indx[42], indx[42]] = -k[402]*y[:,34]
    dfdy[indx[42], indx[43]] = 0
    dfdy[indx[42], indx[44]] = 0
    dfdy[indx[42], indx[45]] = 0
    dfdy[indx[42], indx[46]] = 0
    dfdy[indx[42], indx[47]] = 0
    dfdy[indx[42], indx[48]] = 0
    dfdy[indx[42], indx[49]] = 0
    dfdy[indx[42], indx[50]] = 0
    dfdy[indx[42], indx[51]] = 0
    dfdy[indx[42], indx[52]] = 0
    dfdy[indx[43], indx[0]] = 0
    dfdy[indx[43], indx[1]] = 0
    dfdy[indx[43], indx[2]] = 0
    dfdy[indx[43], indx[3]] = 0
    dfdy[indx[43], indx[4]] = 0
    dfdy[indx[43], indx[5]] = 0
    dfdy[indx[43], indx[6]] = 0
    dfdy[indx[43], indx[7]] = 0
    dfdy[indx[43], indx[8]] = 0
    dfdy[indx[43], indx[9]] = -k[420]*y[:,43] - k[422]*y[:,33]*y[:,43] + k[646]*y[:,24] + 2*k[648]*y[:,22]*y[:,9]
    dfdy[indx[43], indx[10]] = -k[435]*y[:,43]
    dfdy[indx[43], indx[11]] = k[440]*y[:,24]
    dfdy[indx[43], indx[12]] = 0
    dfdy[indx[43], indx[13]] = k[436]*y[:,24] - k[437]*y[:,43]
    dfdy[indx[43], indx[14]] = -k[439]*y[:,43]
    dfdy[indx[43], indx[15]] = k[438]*y[:,24]
    dfdy[indx[43], indx[16]] = 0
    dfdy[indx[43], indx[17]] = -k[424]*y[:,43]
    dfdy[indx[43], indx[18]] = k[423]*y[:,24]
    dfdy[indx[43], indx[19]] = 0
    dfdy[indx[43], indx[20]] = k[419]*y[:,24]
    dfdy[indx[43], indx[21]] = 0
    dfdy[indx[43], indx[22]] = k[648]*y[:,9]**2
    dfdy[indx[43], indx[23]] = 0
    dfdy[indx[43], indx[24]] = k[417]*y[:,36] + k[419]*y[:,20] + k[421]*y[:,40] + k[423]*y[:,18] + k[436]*y[:,13] + k[438]*y[:,15] + k[440]*y[:,11] + k[646]*y[:,9]
    dfdy[indx[43], indx[25]] = 0
    dfdy[indx[43], indx[26]] = 0
    dfdy[indx[43], indx[27]] = -k[418]*y[:,43]
    dfdy[indx[43], indx[28]] = 0
    dfdy[indx[43], indx[29]] = 0
    dfdy[indx[43], indx[30]] = 0
    dfdy[indx[43], indx[31]] = 0
    dfdy[indx[43], indx[32]] = 0
    dfdy[indx[43], indx[33]] = -k[422]*y[:,43]*y[:,9]
    dfdy[indx[43], indx[34]] = 0
    dfdy[indx[43], indx[35]] = 0
    dfdy[indx[43], indx[36]] = k[417]*y[:,24]
    dfdy[indx[43], indx[37]] = 0
    dfdy[indx[43], indx[38]] = 0
    dfdy[indx[43], indx[39]] = 0
    dfdy[indx[43], indx[40]] = k[421]*y[:,24]
    dfdy[indx[43], indx[41]] = 0
    dfdy[indx[43], indx[42]] = 0
    dfdy[indx[43], indx[43]] = -k[418]*y[:,27] - k[420]*y[:,9] - k[422]*y[:,33]*y[:,9] - k[424]*y[:,17] - k[435]*y[:,10] - k[437]*y[:,13] - k[439]*y[:,14] - k[645] - k[647]
    dfdy[indx[43], indx[44]] = 0
    dfdy[indx[43], indx[45]] = 0
    dfdy[indx[43], indx[46]] = 0
    dfdy[indx[43], indx[47]] = 0
    dfdy[indx[43], indx[48]] = 0
    dfdy[indx[43], indx[49]] = 0
    dfdy[indx[43], indx[50]] = 0
    dfdy[indx[43], indx[51]] = 0
    dfdy[indx[43], indx[52]] = 0
    dfdy[indx[44], indx[0]] = 0
    dfdy[indx[44], indx[1]] = 0
    dfdy[indx[44], indx[2]] = k[444]*y[:,17]*y[:,20] + k[636]*y[:,18]
    dfdy[indx[44], indx[3]] = 0
    dfdy[indx[44], indx[4]] = 0
    dfdy[indx[44], indx[5]] = 0
    dfdy[indx[44], indx[6]] = 0
    dfdy[indx[44], indx[7]] = M*k[457]*y[:,17] + k[442]*y[:,11]*y[:,20] + k[446]*y[:,18] + k[638]*y[:,17]
    dfdy[indx[44], indx[8]] = 0
    dfdy[indx[44], indx[9]] = -k[443]*y[:,44] - k[445]*y[:,44]
    dfdy[indx[44], indx[10]] = 0
    dfdy[indx[44], indx[11]] = k[442]*y[:,20]*y[:,7]
    dfdy[indx[44], indx[12]] = 0
    dfdy[indx[44], indx[13]] = 0
    dfdy[indx[44], indx[14]] = 0
    dfdy[indx[44], indx[15]] = 0
    dfdy[indx[44], indx[16]] = 0
    dfdy[indx[44], indx[17]] = M*k[457]*y[:,7] + k[444]*y[:,20]*y[:,2] + k[638]*y[:,7]
    dfdy[indx[44], indx[18]] = k[446]*y[:,7] + k[636]*y[:,2]
    dfdy[indx[44], indx[19]] = 0
    dfdy[indx[44], indx[20]] = k[442]*y[:,11]*y[:,7] + k[444]*y[:,17]*y[:,2]
    dfdy[indx[44], indx[21]] = 0
    dfdy[indx[44], indx[22]] = 0
    dfdy[indx[44], indx[23]] = -k[441]*y[:,44]
    dfdy[indx[44], indx[24]] = 0
    dfdy[indx[44], indx[25]] = 0
    dfdy[indx[44], indx[26]] = 0
    dfdy[indx[44], indx[27]] = 0
    dfdy[indx[44], indx[28]] = 0
    dfdy[indx[44], indx[29]] = 0
    dfdy[indx[44], indx[30]] = 0
    dfdy[indx[44], indx[31]] = 0
    dfdy[indx[44], indx[32]] = 0
    dfdy[indx[44], indx[33]] = 0
    dfdy[indx[44], indx[34]] = 0
    dfdy[indx[44], indx[35]] = 0
    dfdy[indx[44], indx[36]] = 0
    dfdy[indx[44], indx[37]] = 0
    dfdy[indx[44], indx[38]] = 0
    dfdy[indx[44], indx[39]] = 0
    dfdy[indx[44], indx[40]] = 0
    dfdy[indx[44], indx[41]] = 0
    dfdy[indx[44], indx[42]] = 0
    dfdy[indx[44], indx[43]] = 0
    dfdy[indx[44], indx[44]] = -M*k[458] - k[441]*y[:,23] - k[443]*y[:,9] - k[445]*y[:,9] - k[635] - k[637]
    dfdy[indx[44], indx[45]] = 0
    dfdy[indx[44], indx[46]] = 0
    dfdy[indx[44], indx[47]] = 0
    dfdy[indx[44], indx[48]] = 0
    dfdy[indx[44], indx[49]] = 0
    dfdy[indx[44], indx[50]] = 0
    dfdy[indx[44], indx[51]] = 0
    dfdy[indx[44], indx[52]] = 0
    dfdy[indx[45], indx[0]] = 0
    dfdy[indx[45], indx[1]] = 0
    dfdy[indx[45], indx[2]] = 0
    dfdy[indx[45], indx[3]] = 0
    dfdy[indx[45], indx[4]] = 0
    dfdy[indx[45], indx[5]] = k[450]*y[:,15]*y[:,9] + k[632]*y[:,20]
    dfdy[indx[45], indx[6]] = 0
    dfdy[indx[45], indx[7]] = 0
    dfdy[indx[45], indx[8]] = 0
    dfdy[indx[45], indx[9]] = k[450]*y[:,15]*y[:,5] + k[634]*y[:,49]
    dfdy[indx[45], indx[10]] = 0
    dfdy[indx[45], indx[11]] = 0
    dfdy[indx[45], indx[12]] = 0
    dfdy[indx[45], indx[13]] = M*k[475]*y[:,17] - k[449]*y[:,45] + k[630]*y[:,17]
    dfdy[indx[45], indx[14]] = 0
    dfdy[indx[45], indx[15]] = k[450]*y[:,5]*y[:,9]
    dfdy[indx[45], indx[16]] = M*k[497]*y[:,18]
    dfdy[indx[45], indx[17]] = M*k[475]*y[:,13] + k[448]*y[:,25] + k[630]*y[:,13]
    dfdy[indx[45], indx[18]] = M*k[497]*y[:,16]
    dfdy[indx[45], indx[19]] = 0
    dfdy[indx[45], indx[20]] = k[632]*y[:,5]
    dfdy[indx[45], indx[21]] = 0
    dfdy[indx[45], indx[22]] = 0
    dfdy[indx[45], indx[23]] = -k[447]*y[:,45]
    dfdy[indx[45], indx[24]] = 0
    dfdy[indx[45], indx[25]] = k[448]*y[:,17]
    dfdy[indx[45], indx[26]] = 0
    dfdy[indx[45], indx[27]] = 0
    dfdy[indx[45], indx[28]] = 0
    dfdy[indx[45], indx[29]] = 0
    dfdy[indx[45], indx[30]] = 0
    dfdy[indx[45], indx[31]] = 0
    dfdy[indx[45], indx[32]] = 0
    dfdy[indx[45], indx[33]] = 0
    dfdy[indx[45], indx[34]] = 0
    dfdy[indx[45], indx[35]] = 0
    dfdy[indx[45], indx[36]] = 0
    dfdy[indx[45], indx[37]] = 0
    dfdy[indx[45], indx[38]] = 0
    dfdy[indx[45], indx[39]] = 0
    dfdy[indx[45], indx[40]] = 0
    dfdy[indx[45], indx[41]] = 0
    dfdy[indx[45], indx[42]] = 0
    dfdy[indx[45], indx[43]] = 0
    dfdy[indx[45], indx[44]] = 0
    dfdy[indx[45], indx[45]] = -M*k[476] - M*k[498] - k[447]*y[:,23] - k[449]*y[:,13] - k[629] - k[631] - k[633]
    dfdy[indx[45], indx[46]] = 0
    dfdy[indx[45], indx[47]] = 0
    dfdy[indx[45], indx[48]] = 0
    dfdy[indx[45], indx[49]] = k[634]*y[:,9]
    dfdy[indx[45], indx[50]] = 0
    dfdy[indx[45], indx[51]] = 0
    dfdy[indx[45], indx[52]] = 0
    dfdy[indx[46], indx[0]] = 0
    dfdy[indx[46], indx[1]] = k[451]*y[:,33]
    dfdy[indx[46], indx[2]] = 0
    dfdy[indx[46], indx[3]] = 0
    dfdy[indx[46], indx[4]] = 0
    dfdy[indx[46], indx[5]] = 0
    dfdy[indx[46], indx[6]] = 0
    dfdy[indx[46], indx[7]] = 0
    dfdy[indx[46], indx[8]] = 0
    dfdy[indx[46], indx[9]] = -k[452]*y[:,46] - k[454]*y[:,34]*y[:,46]
    dfdy[indx[46], indx[10]] = 0
    dfdy[indx[46], indx[11]] = 0
    dfdy[indx[46], indx[12]] = 0
    dfdy[indx[46], indx[13]] = 0
    dfdy[indx[46], indx[14]] = M*k[513]*y[:,17] + k[453]*y[:,41]
    dfdy[indx[46], indx[15]] = 0
    dfdy[indx[46], indx[16]] = 0
    dfdy[indx[46], indx[17]] = M*k[513]*y[:,14]
    dfdy[indx[46], indx[18]] = 0
    dfdy[indx[46], indx[19]] = 0
    dfdy[indx[46], indx[20]] = 0
    dfdy[indx[46], indx[21]] = 0
    dfdy[indx[46], indx[22]] = 0
    dfdy[indx[46], indx[23]] = 0
    dfdy[indx[46], indx[24]] = 0
    dfdy[indx[46], indx[25]] = 0
    dfdy[indx[46], indx[26]] = 0
    dfdy[indx[46], indx[27]] = 0
    dfdy[indx[46], indx[28]] = 0
    dfdy[indx[46], indx[29]] = 0
    dfdy[indx[46], indx[30]] = 0
    dfdy[indx[46], indx[31]] = 0
    dfdy[indx[46], indx[32]] = 0
    dfdy[indx[46], indx[33]] = k[451]*y[:,1]
    dfdy[indx[46], indx[34]] = -k[454]*y[:,46]*y[:,9]
    dfdy[indx[46], indx[35]] = 0
    dfdy[indx[46], indx[36]] = 0
    dfdy[indx[46], indx[37]] = 0
    dfdy[indx[46], indx[38]] = 0
    dfdy[indx[46], indx[39]] = 0
    dfdy[indx[46], indx[40]] = 0
    dfdy[indx[46], indx[41]] = k[453]*y[:,14]
    dfdy[indx[46], indx[42]] = 0
    dfdy[indx[46], indx[43]] = 0
    dfdy[indx[46], indx[44]] = 0
    dfdy[indx[46], indx[45]] = 0
    dfdy[indx[46], indx[46]] = -M*k[514] - k[452]*y[:,9] - k[454]*y[:,34]*y[:,9]
    dfdy[indx[46], indx[47]] = 0
    dfdy[indx[46], indx[48]] = 0
    dfdy[indx[46], indx[49]] = 0
    dfdy[indx[46], indx[50]] = 0
    dfdy[indx[46], indx[51]] = 0
    dfdy[indx[46], indx[52]] = 0
    dfdy[indx[47], indx[0]] = 0
    dfdy[indx[47], indx[1]] = 0
    dfdy[indx[47], indx[2]] = 0
    dfdy[indx[47], indx[3]] = 0
    dfdy[indx[47], indx[4]] = 0
    dfdy[indx[47], indx[5]] = 0
    dfdy[indx[47], indx[6]] = 0
    dfdy[indx[47], indx[7]] = 0
    dfdy[indx[47], indx[8]] = 0
    dfdy[indx[47], indx[9]] = 0
    dfdy[indx[47], indx[10]] = 0
    dfdy[indx[47], indx[11]] = 0
    dfdy[indx[47], indx[12]] = 0
    dfdy[indx[47], indx[13]] = 0
    dfdy[indx[47], indx[14]] = 0
    dfdy[indx[47], indx[15]] = k[571]
    dfdy[indx[47], indx[16]] = 0
    dfdy[indx[47], indx[17]] = 0
    dfdy[indx[47], indx[18]] = 0
    dfdy[indx[47], indx[19]] = 0
    dfdy[indx[47], indx[20]] = 0
    dfdy[indx[47], indx[21]] = 0
    dfdy[indx[47], indx[22]] = 0
    dfdy[indx[47], indx[23]] = 0
    dfdy[indx[47], indx[24]] = 0
    dfdy[indx[47], indx[25]] = 0
    dfdy[indx[47], indx[26]] = 0
    dfdy[indx[47], indx[27]] = 0
    dfdy[indx[47], indx[28]] = 0
    dfdy[indx[47], indx[29]] = 0
    dfdy[indx[47], indx[30]] = 0
    dfdy[indx[47], indx[31]] = 0
    dfdy[indx[47], indx[32]] = 0
    dfdy[indx[47], indx[33]] = 0
    dfdy[indx[47], indx[34]] = 0
    dfdy[indx[47], indx[35]] = 0
    dfdy[indx[47], indx[36]] = 0
    dfdy[indx[47], indx[37]] = 0
    dfdy[indx[47], indx[38]] = 0
    dfdy[indx[47], indx[39]] = 0
    dfdy[indx[47], indx[40]] = 0
    dfdy[indx[47], indx[41]] = 0
    dfdy[indx[47], indx[42]] = 0
    dfdy[indx[47], indx[43]] = 0
    dfdy[indx[47], indx[44]] = 0
    dfdy[indx[47], indx[45]] = 0
    dfdy[indx[47], indx[46]] = 0
    dfdy[indx[47], indx[47]] = -k[572] - k[661]
    dfdy[indx[47], indx[48]] = 0
    dfdy[indx[47], indx[49]] = 0
    dfdy[indx[47], indx[50]] = 0
    dfdy[indx[47], indx[51]] = k[662]
    dfdy[indx[47], indx[52]] = 0
    dfdy[indx[48], indx[0]] = 0
    dfdy[indx[48], indx[1]] = 0
    dfdy[indx[48], indx[2]] = 0
    dfdy[indx[48], indx[3]] = 0
    dfdy[indx[48], indx[4]] = 0
    dfdy[indx[48], indx[5]] = 0
    dfdy[indx[48], indx[6]] = 0
    dfdy[indx[48], indx[7]] = 0
    dfdy[indx[48], indx[8]] = 0
    dfdy[indx[48], indx[9]] = -k[606]*y[:,48]
    dfdy[indx[48], indx[10]] = 0
    dfdy[indx[48], indx[11]] = 0
    dfdy[indx[48], indx[12]] = 0
    dfdy[indx[48], indx[13]] = 0
    dfdy[indx[48], indx[14]] = 0
    dfdy[indx[48], indx[15]] = 0
    dfdy[indx[48], indx[16]] = 0
    dfdy[indx[48], indx[17]] = 0
    dfdy[indx[48], indx[18]] = 0
    dfdy[indx[48], indx[19]] = 0
    dfdy[indx[48], indx[20]] = 0
    dfdy[indx[48], indx[21]] = 0
    dfdy[indx[48], indx[22]] = 0
    dfdy[indx[48], indx[23]] = 0
    dfdy[indx[48], indx[24]] = 0
    dfdy[indx[48], indx[25]] = 0
    dfdy[indx[48], indx[26]] = 0
    dfdy[indx[48], indx[27]] = 0
    dfdy[indx[48], indx[28]] = 0
    dfdy[indx[48], indx[29]] = 0
    dfdy[indx[48], indx[30]] = 0
    dfdy[indx[48], indx[31]] = 0
    dfdy[indx[48], indx[32]] = 0
    dfdy[indx[48], indx[33]] = k[605]
    dfdy[indx[48], indx[34]] = 0
    dfdy[indx[48], indx[35]] = 0
    dfdy[indx[48], indx[36]] = 0
    dfdy[indx[48], indx[37]] = 0
    dfdy[indx[48], indx[38]] = 0
    dfdy[indx[48], indx[39]] = 0
    dfdy[indx[48], indx[40]] = 0
    dfdy[indx[48], indx[41]] = 0
    dfdy[indx[48], indx[42]] = 0
    dfdy[indx[48], indx[43]] = 0
    dfdy[indx[48], indx[44]] = 0
    dfdy[indx[48], indx[45]] = 0
    dfdy[indx[48], indx[46]] = 0
    dfdy[indx[48], indx[47]] = 0
    dfdy[indx[48], indx[48]] = -k[606]*y[:,9]
    dfdy[indx[48], indx[49]] = 0
    dfdy[indx[48], indx[50]] = 0
    dfdy[indx[48], indx[51]] = 0
    dfdy[indx[48], indx[52]] = 0
    dfdy[indx[49], indx[0]] = 0
    dfdy[indx[49], indx[1]] = 0
    dfdy[indx[49], indx[2]] = 0
    dfdy[indx[49], indx[3]] = 0
    dfdy[indx[49], indx[4]] = 0
    dfdy[indx[49], indx[5]] = 0
    dfdy[indx[49], indx[6]] = 0
    dfdy[indx[49], indx[7]] = 0
    dfdy[indx[49], indx[8]] = 0
    dfdy[indx[49], indx[9]] = -k[634]*y[:,49]
    dfdy[indx[49], indx[10]] = 0
    dfdy[indx[49], indx[11]] = 0
    dfdy[indx[49], indx[12]] = 0
    dfdy[indx[49], indx[13]] = 0
    dfdy[indx[49], indx[14]] = 0
    dfdy[indx[49], indx[15]] = 0
    dfdy[indx[49], indx[16]] = 0
    dfdy[indx[49], indx[17]] = 0
    dfdy[indx[49], indx[18]] = 0
    dfdy[indx[49], indx[19]] = 0
    dfdy[indx[49], indx[20]] = 0
    dfdy[indx[49], indx[21]] = 0
    dfdy[indx[49], indx[22]] = 0
    dfdy[indx[49], indx[23]] = 0
    dfdy[indx[49], indx[24]] = 0
    dfdy[indx[49], indx[25]] = 0
    dfdy[indx[49], indx[26]] = 0
    dfdy[indx[49], indx[27]] = 0
    dfdy[indx[49], indx[28]] = 0
    dfdy[indx[49], indx[29]] = 0
    dfdy[indx[49], indx[30]] = 0
    dfdy[indx[49], indx[31]] = 0
    dfdy[indx[49], indx[32]] = 0
    dfdy[indx[49], indx[33]] = 0
    dfdy[indx[49], indx[34]] = 0
    dfdy[indx[49], indx[35]] = 0
    dfdy[indx[49], indx[36]] = 0
    dfdy[indx[49], indx[37]] = 0
    dfdy[indx[49], indx[38]] = 0
    dfdy[indx[49], indx[39]] = 0
    dfdy[indx[49], indx[40]] = 0
    dfdy[indx[49], indx[41]] = 0
    dfdy[indx[49], indx[42]] = 0
    dfdy[indx[49], indx[43]] = 0
    dfdy[indx[49], indx[44]] = 0
    dfdy[indx[49], indx[45]] = k[633]
    dfdy[indx[49], indx[46]] = 0
    dfdy[indx[49], indx[47]] = 0
    dfdy[indx[49], indx[48]] = 0
    dfdy[indx[49], indx[49]] = -k[634]*y[:,9]
    dfdy[indx[49], indx[50]] = 0
    dfdy[indx[49], indx[51]] = 0
    dfdy[indx[49], indx[52]] = 0
    dfdy[indx[50], indx[0]] = 0
    dfdy[indx[50], indx[1]] = 0
    dfdy[indx[50], indx[2]] = k[654]*y[:,22]
    dfdy[indx[50], indx[3]] = 0
    dfdy[indx[50], indx[4]] = 0
    dfdy[indx[50], indx[5]] = 0
    dfdy[indx[50], indx[6]] = 0
    dfdy[indx[50], indx[7]] = 0
    dfdy[indx[50], indx[8]] = k[656]*y[:,9]
    dfdy[indx[50], indx[9]] = k[656]*y[:,8]
    dfdy[indx[50], indx[10]] = 0
    dfdy[indx[50], indx[11]] = 0
    dfdy[indx[50], indx[12]] = 0
    dfdy[indx[50], indx[13]] = 0
    dfdy[indx[50], indx[14]] = 0
    dfdy[indx[50], indx[15]] = 0
    dfdy[indx[50], indx[16]] = 0
    dfdy[indx[50], indx[17]] = 0
    dfdy[indx[50], indx[18]] = 0
    dfdy[indx[50], indx[19]] = 0
    dfdy[indx[50], indx[20]] = 0
    dfdy[indx[50], indx[21]] = 0
    dfdy[indx[50], indx[22]] = k[654]*y[:,2]
    dfdy[indx[50], indx[23]] = 0
    dfdy[indx[50], indx[24]] = 0
    dfdy[indx[50], indx[25]] = 0
    dfdy[indx[50], indx[26]] = 0
    dfdy[indx[50], indx[27]] = 0
    dfdy[indx[50], indx[28]] = 0
    dfdy[indx[50], indx[29]] = 0
    dfdy[indx[50], indx[30]] = 0
    dfdy[indx[50], indx[31]] = 0
    dfdy[indx[50], indx[32]] = 0
    dfdy[indx[50], indx[33]] = 0
    dfdy[indx[50], indx[34]] = 0
    dfdy[indx[50], indx[35]] = 0
    dfdy[indx[50], indx[36]] = 0
    dfdy[indx[50], indx[37]] = 0
    dfdy[indx[50], indx[38]] = 0
    dfdy[indx[50], indx[39]] = 0
    dfdy[indx[50], indx[40]] = 0
    dfdy[indx[50], indx[41]] = 0
    dfdy[indx[50], indx[42]] = 0
    dfdy[indx[50], indx[43]] = 0
    dfdy[indx[50], indx[44]] = 0
    dfdy[indx[50], indx[45]] = 0
    dfdy[indx[50], indx[46]] = 0
    dfdy[indx[50], indx[47]] = 0
    dfdy[indx[50], indx[48]] = 0
    dfdy[indx[50], indx[49]] = 0
    dfdy[indx[50], indx[50]] = -k[653] - k[655]
    dfdy[indx[50], indx[51]] = 0
    dfdy[indx[50], indx[52]] = 0
    dfdy[indx[51], indx[0]] = 0
    dfdy[indx[51], indx[1]] = 0
    dfdy[indx[51], indx[2]] = 0
    dfdy[indx[51], indx[3]] = 0
    dfdy[indx[51], indx[4]] = 0
    dfdy[indx[51], indx[5]] = 0
    dfdy[indx[51], indx[6]] = 0
    dfdy[indx[51], indx[7]] = 0
    dfdy[indx[51], indx[8]] = 0
    dfdy[indx[51], indx[9]] = 0
    dfdy[indx[51], indx[10]] = 0
    dfdy[indx[51], indx[11]] = 0
    dfdy[indx[51], indx[12]] = 0
    dfdy[indx[51], indx[13]] = 0
    dfdy[indx[51], indx[14]] = 0
    dfdy[indx[51], indx[15]] = 0
    dfdy[indx[51], indx[16]] = 0
    dfdy[indx[51], indx[17]] = 0
    dfdy[indx[51], indx[18]] = 0
    dfdy[indx[51], indx[19]] = 0
    dfdy[indx[51], indx[20]] = 0
    dfdy[indx[51], indx[21]] = 0
    dfdy[indx[51], indx[22]] = 0
    dfdy[indx[51], indx[23]] = 0
    dfdy[indx[51], indx[24]] = 0
    dfdy[indx[51], indx[25]] = 0
    dfdy[indx[51], indx[26]] = 0
    dfdy[indx[51], indx[27]] = 0
    dfdy[indx[51], indx[28]] = 0
    dfdy[indx[51], indx[29]] = 0
    dfdy[indx[51], indx[30]] = 0
    dfdy[indx[51], indx[31]] = 0
    dfdy[indx[51], indx[32]] = 0
    dfdy[indx[51], indx[33]] = 0
    dfdy[indx[51], indx[34]] = 0
    dfdy[indx[51], indx[35]] = 0
    dfdy[indx[51], indx[36]] = 0
    dfdy[indx[51], indx[37]] = 0
    dfdy[indx[51], indx[38]] = 0
    dfdy[indx[51], indx[39]] = 0
    dfdy[indx[51], indx[40]] = 0
    dfdy[indx[51], indx[41]] = 0
    dfdy[indx[51], indx[42]] = 0
    dfdy[indx[51], indx[43]] = 0
    dfdy[indx[51], indx[44]] = 0
    dfdy[indx[51], indx[45]] = 0
    dfdy[indx[51], indx[46]] = 0
    dfdy[indx[51], indx[47]] = k[661]
    dfdy[indx[51], indx[48]] = 0
    dfdy[indx[51], indx[49]] = 0
    dfdy[indx[51], indx[50]] = 0
    dfdy[indx[51], indx[51]] = -k[662]
    dfdy[indx[51], indx[52]] = 0
    dfdy[indx[52], indx[0]] = 0
    dfdy[indx[52], indx[1]] = 0
    dfdy[indx[52], indx[2]] = 0
    dfdy[indx[52], indx[3]] = 0
    dfdy[indx[52], indx[4]] = 0
    dfdy[indx[52], indx[5]] = 0
    dfdy[indx[52], indx[6]] = 0
    dfdy[indx[52], indx[7]] = 0
    dfdy[indx[52], indx[8]] = 0
    dfdy[indx[52], indx[9]] = 0
    dfdy[indx[52], indx[10]] = 0
    dfdy[indx[52], indx[11]] = k[663]
    dfdy[indx[52], indx[12]] = 0
    dfdy[indx[52], indx[13]] = 0
    dfdy[indx[52], indx[14]] = 0
    dfdy[indx[52], indx[15]] = 0
    dfdy[indx[52], indx[16]] = 0
    dfdy[indx[52], indx[17]] = 0
    dfdy[indx[52], indx[18]] = 0
    dfdy[indx[52], indx[19]] = 0
    dfdy[indx[52], indx[20]] = 0
    dfdy[indx[52], indx[21]] = 0
    dfdy[indx[52], indx[22]] = 0
    dfdy[indx[52], indx[23]] = 0
    dfdy[indx[52], indx[24]] = 0
    dfdy[indx[52], indx[25]] = 0
    dfdy[indx[52], indx[26]] = 0
    dfdy[indx[52], indx[27]] = 0
    dfdy[indx[52], indx[28]] = 0
    dfdy[indx[52], indx[29]] = 0
    dfdy[indx[52], indx[30]] = 0
    dfdy[indx[52], indx[31]] = 0
    dfdy[indx[52], indx[32]] = 0
    dfdy[indx[52], indx[33]] = 0
    dfdy[indx[52], indx[34]] = 0
    dfdy[indx[52], indx[35]] = 0
    dfdy[indx[52], indx[36]] = 0
    dfdy[indx[52], indx[37]] = 0
    dfdy[indx[52], indx[38]] = 0
    dfdy[indx[52], indx[39]] = 0
    dfdy[indx[52], indx[40]] = 0
    dfdy[indx[52], indx[41]] = 0
    dfdy[indx[52], indx[42]] = 0
    dfdy[indx[52], indx[43]] = 0
    dfdy[indx[52], indx[44]] = 0
    dfdy[indx[52], indx[45]] = 0
    dfdy[indx[52], indx[46]] = 0
    dfdy[indx[52], indx[47]] = 0
    dfdy[indx[52], indx[48]] = 0
    dfdy[indx[52], indx[49]] = 0
    dfdy[indx[52], indx[50]] = 0
    dfdy[indx[52], indx[51]] = 0
    dfdy[indx[52], indx[52]] = -k[664]
    return dfdy 


def neg_symjac(y, M, k): 
    nz = vulcan_cfg.nz
    dfdy = np.zeros(shape=[ni*nz, ni*nz])   
    indx = [] 
    for j in range(ni): 
        indx.append( np.arange(j,j+ni*nz,ni) ) 
    dfdy[indx[0], indx[0]] = -(-M*k[462] - k[1]*y[:,1] - k[320]*y[:,11] - k[328]*y[:,3] - k[344]*y[:,30] - k[3]*y[:,4] - k[44]*y[:,9] - k[48]*y[:,9] - k[597] - k[599] - k[5]*y[:,6] - k[78]*y[:,9])
    dfdy[indx[0], indx[1]] = -(-k[1]*y[:,0])
    dfdy[indx[0], indx[2]] = -(M*k[461]*y[:,16] + k[2]*y[:,3] + k[4]*y[:,5] + k[598]*y[:,10] + k[600]*y[:,16] + k[6]*y[:,7] + k[77]*y[:,13])
    dfdy[indx[0], indx[3]] = -(k[2]*y[:,2] + k[319]*y[:,37] - k[328]*y[:,0] + k[343]*y[:,8])
    dfdy[indx[0], indx[4]] = -(-k[3]*y[:,0])
    dfdy[indx[0], indx[5]] = -(k[4]*y[:,2])
    dfdy[indx[0], indx[6]] = -(-k[5]*y[:,0])
    dfdy[indx[0], indx[7]] = -(k[43]*y[:,10] + k[47]*y[:,16] + k[6]*y[:,2])
    dfdy[indx[0], indx[8]] = -(k[327]*y[:,27] + k[343]*y[:,3])
    dfdy[indx[0], indx[9]] = -(-k[44]*y[:,0] - k[48]*y[:,0] - k[78]*y[:,0])
    dfdy[indx[0], indx[10]] = -(k[43]*y[:,7] + k[598]*y[:,2])
    dfdy[indx[0], indx[11]] = -(-k[320]*y[:,0])
    dfdy[indx[0], indx[12]] = -(0)
    dfdy[indx[0], indx[13]] = -(k[77]*y[:,2])
    dfdy[indx[0], indx[14]] = -(0)
    dfdy[indx[0], indx[15]] = -(0)
    dfdy[indx[0], indx[16]] = -(M*k[461]*y[:,2] + k[47]*y[:,7] + k[600]*y[:,2])
    dfdy[indx[0], indx[17]] = -(0)
    dfdy[indx[0], indx[18]] = -(0)
    dfdy[indx[0], indx[19]] = -(0)
    dfdy[indx[0], indx[20]] = -(0)
    dfdy[indx[0], indx[21]] = -(0)
    dfdy[indx[0], indx[22]] = -(0)
    dfdy[indx[0], indx[23]] = -(0)
    dfdy[indx[0], indx[24]] = -(0)
    dfdy[indx[0], indx[25]] = -(0)
    dfdy[indx[0], indx[26]] = -(0)
    dfdy[indx[0], indx[27]] = -(k[327]*y[:,8])
    dfdy[indx[0], indx[28]] = -(0)
    dfdy[indx[0], indx[29]] = -(0)
    dfdy[indx[0], indx[30]] = -(-k[344]*y[:,0])
    dfdy[indx[0], indx[31]] = -(0)
    dfdy[indx[0], indx[32]] = -(0)
    dfdy[indx[0], indx[33]] = -(0)
    dfdy[indx[0], indx[34]] = -(0)
    dfdy[indx[0], indx[35]] = -(0)
    dfdy[indx[0], indx[36]] = -(0)
    dfdy[indx[0], indx[37]] = -(k[319]*y[:,3])
    dfdy[indx[0], indx[38]] = -(0)
    dfdy[indx[0], indx[39]] = -(0)
    dfdy[indx[0], indx[40]] = -(0)
    dfdy[indx[0], indx[41]] = -(0)
    dfdy[indx[0], indx[42]] = -(0)
    dfdy[indx[0], indx[43]] = -(0)
    dfdy[indx[0], indx[44]] = -(0)
    dfdy[indx[0], indx[45]] = -(0)
    dfdy[indx[0], indx[46]] = -(0)
    dfdy[indx[0], indx[47]] = -(0)
    dfdy[indx[0], indx[48]] = -(0)
    dfdy[indx[0], indx[49]] = -(0)
    dfdy[indx[0], indx[50]] = -(0)
    dfdy[indx[0], indx[51]] = -(0)
    dfdy[indx[0], indx[52]] = -(0)
    dfdy[indx[1], indx[0]] = -(-k[1]*y[:,1])
    dfdy[indx[1], indx[1]] = -(-M*k[455]*y[:,7] - M*k[527]*y[:,19] - M*k[529]*y[:,4] - 4*M*k[531]*y[:,1] - M*k[533]*y[:,9] - M*k[561] - k[105]*y[:,13] - k[132]*y[:,2] - k[160]*y[:,2] - k[181]*y[:,21] - k[183]*y[:,21] - k[197]*y[:,11] - k[1]*y[:,0] - k[209]*y[:,14] - k[225]*y[:,22] - k[245]*y[:,18] - k[247]*y[:,17] - k[249]*y[:,19] - k[251]*y[:,19] - k[253]*y[:,4] - k[255]*y[:,6] - k[257]*y[:,20] - k[347]*y[:,3] - k[451]*y[:,33] - k[57]*y[:,7] - k[59]*y[:,7] - k[83]*y[:,15])
    dfdy[indx[1], indx[2]] = -(-k[132]*y[:,1] - k[160]*y[:,1] + k[2]*y[:,3] + k[60]*y[:,22])
    dfdy[indx[1], indx[3]] = -(k[106]*y[:,9] + k[2]*y[:,2] - k[347]*y[:,1])
    dfdy[indx[1], indx[4]] = -(-M*k[529]*y[:,1] + k[184]*y[:,30] - k[253]*y[:,1])
    dfdy[indx[1], indx[5]] = -(0)
    dfdy[indx[1], indx[6]] = -(k[198]*y[:,30] - k[255]*y[:,1])
    dfdy[indx[1], indx[7]] = -(-M*k[455]*y[:,1] - k[57]*y[:,1] - k[59]*y[:,1])
    dfdy[indx[1], indx[8]] = -(k[58]*y[:,9])
    dfdy[indx[1], indx[9]] = -(-M*k[533]*y[:,1] + k[106]*y[:,3] + k[226]*y[:,30] + k[248]*y[:,21] + k[250]*y[:,11] + 2*k[252]*y[:,14]*y[:,9] + k[254]*y[:,11] + k[256]*y[:,14] + k[258]*y[:,22] + k[452]*y[:,46] + k[58]*y[:,8] + k[84]*y[:,25])
    dfdy[indx[1], indx[10]] = -(k[131]*y[:,14] + k[348]*y[:,30])
    dfdy[indx[1], indx[11]] = -(-k[197]*y[:,1] + k[250]*y[:,9] + k[254]*y[:,9])
    dfdy[indx[1], indx[12]] = -(0)
    dfdy[indx[1], indx[13]] = -(-k[105]*y[:,1])
    dfdy[indx[1], indx[14]] = -(k[131]*y[:,10] + k[159]*y[:,16] - k[209]*y[:,1] + k[252]*y[:,9]**2 + k[256]*y[:,9])
    dfdy[indx[1], indx[15]] = -(-k[83]*y[:,1])
    dfdy[indx[1], indx[16]] = -(k[159]*y[:,14])
    dfdy[indx[1], indx[17]] = -(-k[247]*y[:,1])
    dfdy[indx[1], indx[18]] = -(-k[245]*y[:,1])
    dfdy[indx[1], indx[19]] = -(-M*k[527]*y[:,1] + k[182]*y[:,30] - k[249]*y[:,1] - k[251]*y[:,1])
    dfdy[indx[1], indx[20]] = -(k[246]*y[:,21] - k[257]*y[:,1])
    dfdy[indx[1], indx[21]] = -(M*k[528] + M*k[530] - k[181]*y[:,1] - k[183]*y[:,1] + k[246]*y[:,20] + k[248]*y[:,9])
    dfdy[indx[1], indx[22]] = -(M*k[534] - k[225]*y[:,1] + k[258]*y[:,9] + k[60]*y[:,2])
    dfdy[indx[1], indx[23]] = -(M*k[562])
    dfdy[indx[1], indx[24]] = -(0)
    dfdy[indx[1], indx[25]] = -(k[84]*y[:,9])
    dfdy[indx[1], indx[26]] = -(0)
    dfdy[indx[1], indx[27]] = -(0)
    dfdy[indx[1], indx[28]] = -(M*k[456])
    dfdy[indx[1], indx[29]] = -(k[210]*y[:,30])
    dfdy[indx[1], indx[30]] = -(2*M*k[532] + k[182]*y[:,19] + k[184]*y[:,4] + k[198]*y[:,6] + k[210]*y[:,29] + k[226]*y[:,9] + k[348]*y[:,10])
    dfdy[indx[1], indx[31]] = -(0)
    dfdy[indx[1], indx[32]] = -(0)
    dfdy[indx[1], indx[33]] = -(-k[451]*y[:,1])
    dfdy[indx[1], indx[34]] = -(0)
    dfdy[indx[1], indx[35]] = -(0)
    dfdy[indx[1], indx[36]] = -(0)
    dfdy[indx[1], indx[37]] = -(0)
    dfdy[indx[1], indx[38]] = -(0)
    dfdy[indx[1], indx[39]] = -(0)
    dfdy[indx[1], indx[40]] = -(0)
    dfdy[indx[1], indx[41]] = -(0)
    dfdy[indx[1], indx[42]] = -(0)
    dfdy[indx[1], indx[43]] = -(0)
    dfdy[indx[1], indx[44]] = -(0)
    dfdy[indx[1], indx[45]] = -(0)
    dfdy[indx[1], indx[46]] = -(k[452]*y[:,9])
    dfdy[indx[1], indx[47]] = -(0)
    dfdy[indx[1], indx[48]] = -(0)
    dfdy[indx[1], indx[49]] = -(0)
    dfdy[indx[1], indx[50]] = -(0)
    dfdy[indx[1], indx[51]] = -(0)
    dfdy[indx[1], indx[52]] = -(0)
    dfdy[indx[2], indx[0]] = -(M*k[462] + k[1]*y[:,1] + k[3]*y[:,4] + k[597] + k[599] + k[5]*y[:,6] + k[78]*y[:,9])
    dfdy[indx[2], indx[1]] = -(-k[132]*y[:,2] - k[160]*y[:,2] + k[1]*y[:,0] + k[59]*y[:,7])
    dfdy[indx[2], indx[2]] = -(-M*k[461]*y[:,16] - M*k[463]*y[:,6] - M*k[465]*y[:,9] - k[120]*y[:,20] - k[122]*y[:,9]**2 - k[130]*y[:,23] - k[132]*y[:,1] - k[142]*y[:,9]**2 - k[144]*y[:,20] - k[148]*y[:,9] - k[14]*y[:,15]*y[:,9] - k[160]*y[:,1] - k[168]*y[:,9]**2 - k[170]*y[:,20] - k[172]*y[:,9] - k[28]*y[:,17] - k[2]*y[:,3] - k[302]*y[:,10] - k[316]*y[:,19] - 4*k[318]*y[:,2]*y[:,9] - k[322]*y[:,28] - k[324]*y[:,6] - k[330]*y[:,13] - k[332]*y[:,36] - k[336]*y[:,7] - k[340]*y[:,3] - k[342]*y[:,22] - k[356]*y[:,19] - k[360]*y[:,19] - k[36]*y[:,5] - 4*k[38]*y[:,20]*y[:,2] - k[40]*y[:,11] - k[42]*y[:,15] - k[444]*y[:,17]*y[:,20] - k[46]*y[:,13] - k[4]*y[:,5] - k[52]*y[:,24] - k[56]*y[:,22] - k[591] - k[598]*y[:,10] - k[600]*y[:,16] - k[60]*y[:,22] - k[620]*y[:,9] - k[622]*y[:,20] - k[62]*y[:,18] - k[636]*y[:,18] - k[64]*y[:,17] - k[654]*y[:,22] - k[66]*y[:,17] - k[68]*y[:,19] - k[6]*y[:,7] - k[70]*y[:,4] - k[72]*y[:,20] - k[74]*y[:,9]**2 - k[76]*y[:,9] - k[77]*y[:,13])
    dfdy[indx[2], indx[3]] = -(-k[2]*y[:,2] + k[321]*y[:,37] - k[340]*y[:,2])
    dfdy[indx[2], indx[4]] = -(k[167]*y[:,16] + k[169]*y[:,16] + k[3]*y[:,0] + k[65]*y[:,7] - k[70]*y[:,2])
    dfdy[indx[2], indx[5]] = -(k[13]*y[:,13] + k[27]*y[:,6] - k[36]*y[:,2] - k[4]*y[:,2] + k[621])
    dfdy[indx[2], indx[6]] = -(-M*k[463]*y[:,2] + k[119]*y[:,13] + k[121]*y[:,13] + k[147]*y[:,10] + k[171]*y[:,16] + k[27]*y[:,5] - k[324]*y[:,2] + k[329]*y[:,27] + k[5]*y[:,0] + k[67]*y[:,7] + k[69]*y[:,7])
    dfdy[indx[2], indx[7]] = -(M*k[466] + k[331]*y[:,27] - k[336]*y[:,2] + 2*k[35]*y[:,7] + 4*k[37]*y[:,7] + k[39]*y[:,14] + k[41]*y[:,13] + k[45]*y[:,10] + k[51]*y[:,22] + k[55]*y[:,23] + k[59]*y[:,1] + k[619] + k[61]*y[:,17] + k[63]*y[:,19] + k[65]*y[:,4] + k[67]*y[:,6] + k[69]*y[:,6] - k[6]*y[:,2] + k[71]*y[:,9] + k[73]*y[:,9] + k[75])
    dfdy[indx[2], indx[8]] = -(k[339]*y[:,10] + k[341]*y[:,9])
    dfdy[indx[2], indx[9]] = -(-M*k[465]*y[:,2] - 2*k[122]*y[:,2]*y[:,9] - 2*k[142]*y[:,2]*y[:,9] - k[148]*y[:,2] - k[14]*y[:,15]*y[:,2] - 2*k[168]*y[:,2]*y[:,9] - k[172]*y[:,2] + k[315]*y[:,37] - 2*k[318]*y[:,2]**2 + k[341]*y[:,8] + k[443]*y[:,44] - k[620]*y[:,2] + k[71]*y[:,7] + k[73]*y[:,7] - 2*k[74]*y[:,2]*y[:,9] - k[76]*y[:,2] + k[78]*y[:,0])
    dfdy[indx[2], indx[10]] = -(k[129]*y[:,14] + k[131]*y[:,14] + k[141]*y[:,19] + k[143]*y[:,19] + k[147]*y[:,6] - k[302]*y[:,2] + 2*k[317]*y[:,37] + k[323]*y[:,35] + k[339]*y[:,8] + k[359]*y[:,34] + k[45]*y[:,7] + k[592]*y[:,29] - k[598]*y[:,2])
    dfdy[indx[2], indx[11]] = -(-k[40]*y[:,2])
    dfdy[indx[2], indx[12]] = -(0)
    dfdy[indx[2], indx[13]] = -(k[119]*y[:,6] + k[121]*y[:,6] + k[13]*y[:,5] - k[330]*y[:,2] + k[355]*y[:,35] + k[41]*y[:,7] - k[46]*y[:,2] - k[77]*y[:,2])
    dfdy[indx[2], indx[14]] = -(k[129]*y[:,10] + k[131]*y[:,10] + k[159]*y[:,16] + k[39]*y[:,7])
    dfdy[indx[2], indx[15]] = -(-k[14]*y[:,2]*y[:,9] - k[42]*y[:,2])
    dfdy[indx[2], indx[16]] = -(-M*k[461]*y[:,2] + k[159]*y[:,14] + k[167]*y[:,4] + k[169]*y[:,4] + k[171]*y[:,6] - k[600]*y[:,2])
    dfdy[indx[2], indx[17]] = -(-k[28]*y[:,2] - k[444]*y[:,20]*y[:,2] + k[61]*y[:,7] - k[64]*y[:,2] - k[66]*y[:,2])
    dfdy[indx[2], indx[18]] = -(-k[62]*y[:,2] - k[636]*y[:,2])
    dfdy[indx[2], indx[19]] = -(k[141]*y[:,10] + k[143]*y[:,10] - k[316]*y[:,2] - k[356]*y[:,2] - k[360]*y[:,2] + k[63]*y[:,7] - k[68]*y[:,2])
    dfdy[indx[2], indx[20]] = -(-k[120]*y[:,2] - k[144]*y[:,2] - k[170]*y[:,2] - 2*k[38]*y[:,2]**2 - k[444]*y[:,17]*y[:,2] - k[622]*y[:,2] - k[72]*y[:,2])
    dfdy[indx[2], indx[21]] = -(0)
    dfdy[indx[2], indx[22]] = -(-k[342]*y[:,2] + k[51]*y[:,7] - k[56]*y[:,2] - k[60]*y[:,2] - k[654]*y[:,2])
    dfdy[indx[2], indx[23]] = -(-k[130]*y[:,2] + k[55]*y[:,7])
    dfdy[indx[2], indx[24]] = -(-k[52]*y[:,2])
    dfdy[indx[2], indx[25]] = -(0)
    dfdy[indx[2], indx[26]] = -(0)
    dfdy[indx[2], indx[27]] = -(k[301]*y[:,29] + k[329]*y[:,6] + k[331]*y[:,7] + k[335]*y[:,35])
    dfdy[indx[2], indx[28]] = -(-k[322]*y[:,2])
    dfdy[indx[2], indx[29]] = -(k[301]*y[:,27] + k[592]*y[:,10])
    dfdy[indx[2], indx[30]] = -(0)
    dfdy[indx[2], indx[31]] = -(0)
    dfdy[indx[2], indx[32]] = -(0)
    dfdy[indx[2], indx[33]] = -(0)
    dfdy[indx[2], indx[34]] = -(k[359]*y[:,10])
    dfdy[indx[2], indx[35]] = -(k[323]*y[:,10] + k[335]*y[:,27] + k[355]*y[:,13])
    dfdy[indx[2], indx[36]] = -(-k[332]*y[:,2])
    dfdy[indx[2], indx[37]] = -(M*k[464] + k[315]*y[:,9] + 2*k[317]*y[:,10] + k[321]*y[:,3])
    dfdy[indx[2], indx[38]] = -(0)
    dfdy[indx[2], indx[39]] = -(0)
    dfdy[indx[2], indx[40]] = -(0)
    dfdy[indx[2], indx[41]] = -(0)
    dfdy[indx[2], indx[42]] = -(0)
    dfdy[indx[2], indx[43]] = -(0)
    dfdy[indx[2], indx[44]] = -(k[443]*y[:,9] + k[635])
    dfdy[indx[2], indx[45]] = -(0)
    dfdy[indx[2], indx[46]] = -(0)
    dfdy[indx[2], indx[47]] = -(0)
    dfdy[indx[2], indx[48]] = -(0)
    dfdy[indx[2], indx[49]] = -(0)
    dfdy[indx[2], indx[50]] = -(k[653])
    dfdy[indx[2], indx[51]] = -(0)
    dfdy[indx[2], indx[52]] = -(0)
    dfdy[indx[3], indx[0]] = -(k[1]*y[:,1] + k[320]*y[:,11] - k[328]*y[:,3] + k[344]*y[:,30])
    dfdy[indx[3], indx[1]] = -(k[105]*y[:,13] + k[1]*y[:,0] - k[347]*y[:,3])
    dfdy[indx[3], indx[2]] = -(-k[2]*y[:,3] + k[322]*y[:,28] - k[340]*y[:,3])
    dfdy[indx[3], indx[3]] = -(-M*k[484] - k[104]*y[:,9] - k[106]*y[:,9] - k[134]*y[:,9] - k[2]*y[:,2] - k[303]*y[:,29] - k[319]*y[:,37] - k[321]*y[:,37] - k[328]*y[:,0] - k[340]*y[:,2] - k[343]*y[:,8] - k[345]*y[:,23] - k[347]*y[:,1] - k[350]*y[:,10] - k[410]*y[:,20] - k[411]*y[:,24] - k[426]*y[:,13] - k[428]*y[:,20] - k[430]*y[:,15] - k[432]*y[:,5] - k[434]*y[:,11] - k[651])
    dfdy[indx[3], indx[4]] = -(0)
    dfdy[indx[3], indx[5]] = -(-k[432]*y[:,3])
    dfdy[indx[3], indx[6]] = -(0)
    dfdy[indx[3], indx[7]] = -(k[431]*y[:,25])
    dfdy[indx[3], indx[8]] = -(k[327]*y[:,27] + k[339]*y[:,10] - k[343]*y[:,3])
    dfdy[indx[3], indx[9]] = -(-k[104]*y[:,3] - k[106]*y[:,3] - k[134]*y[:,3] + k[427]*y[:,25])
    dfdy[indx[3], indx[10]] = -(M*k[483]*y[:,23] + k[133]*y[:,22] + k[304]*y[:,14] + k[339]*y[:,8] + k[346]*y[:,30] + k[348]*y[:,30] - k[350]*y[:,3] + k[409]*y[:,24] + k[425]*y[:,25] + k[652]*y[:,23])
    dfdy[indx[3], indx[11]] = -(k[320]*y[:,0] - k[434]*y[:,3])
    dfdy[indx[3], indx[12]] = -(0)
    dfdy[indx[3], indx[13]] = -(k[103]*y[:,23] + k[105]*y[:,1] - k[426]*y[:,3] + k[429]*y[:,25])
    dfdy[indx[3], indx[14]] = -(k[304]*y[:,10] + k[433]*y[:,25])
    dfdy[indx[3], indx[15]] = -(k[412]*y[:,30] - k[430]*y[:,3])
    dfdy[indx[3], indx[16]] = -(0)
    dfdy[indx[3], indx[17]] = -(0)
    dfdy[indx[3], indx[18]] = -(0)
    dfdy[indx[3], indx[19]] = -(0)
    dfdy[indx[3], indx[20]] = -(-k[410]*y[:,3] - k[428]*y[:,3])
    dfdy[indx[3], indx[21]] = -(0)
    dfdy[indx[3], indx[22]] = -(k[133]*y[:,10])
    dfdy[indx[3], indx[23]] = -(M*k[483]*y[:,10] + k[103]*y[:,13] - k[345]*y[:,3] + k[349]*y[:,27] + k[652]*y[:,10])
    dfdy[indx[3], indx[24]] = -(k[409]*y[:,10] - k[411]*y[:,3])
    dfdy[indx[3], indx[25]] = -(k[425]*y[:,10] + k[427]*y[:,9] + k[429]*y[:,13] + k[431]*y[:,7] + k[433]*y[:,14])
    dfdy[indx[3], indx[26]] = -(0)
    dfdy[indx[3], indx[27]] = -(k[327]*y[:,8] + k[349]*y[:,23])
    dfdy[indx[3], indx[28]] = -(k[322]*y[:,2])
    dfdy[indx[3], indx[29]] = -(-k[303]*y[:,3])
    dfdy[indx[3], indx[30]] = -(k[344]*y[:,0] + k[346]*y[:,10] + k[348]*y[:,10] + k[412]*y[:,15])
    dfdy[indx[3], indx[31]] = -(0)
    dfdy[indx[3], indx[32]] = -(0)
    dfdy[indx[3], indx[33]] = -(0)
    dfdy[indx[3], indx[34]] = -(0)
    dfdy[indx[3], indx[35]] = -(0)
    dfdy[indx[3], indx[36]] = -(0)
    dfdy[indx[3], indx[37]] = -(-k[319]*y[:,3] - k[321]*y[:,3])
    dfdy[indx[3], indx[38]] = -(0)
    dfdy[indx[3], indx[39]] = -(0)
    dfdy[indx[3], indx[40]] = -(0)
    dfdy[indx[3], indx[41]] = -(0)
    dfdy[indx[3], indx[42]] = -(0)
    dfdy[indx[3], indx[43]] = -(0)
    dfdy[indx[3], indx[44]] = -(0)
    dfdy[indx[3], indx[45]] = -(0)
    dfdy[indx[3], indx[46]] = -(0)
    dfdy[indx[3], indx[47]] = -(0)
    dfdy[indx[3], indx[48]] = -(0)
    dfdy[indx[3], indx[49]] = -(0)
    dfdy[indx[3], indx[50]] = -(0)
    dfdy[indx[3], indx[51]] = -(0)
    dfdy[indx[3], indx[52]] = -(0)
    dfdy[indx[4], indx[0]] = -(-k[3]*y[:,4])
    dfdy[indx[4], indx[1]] = -(-M*k[529]*y[:,4] + k[183]*y[:,21] - k[253]*y[:,4])
    dfdy[indx[4], indx[2]] = -(k[168]*y[:,9]**2 + k[170]*y[:,20] + k[4]*y[:,5] + k[66]*y[:,17] - k[70]*y[:,4])
    dfdy[indx[4], indx[3]] = -(0)
    dfdy[indx[4], indx[4]] = -(-M*k[499]*y[:,16] - M*k[517]*y[:,14] - M*k[529]*y[:,1] - M*k[535]*y[:,18] - 4*M*k[545]*y[:,4] - M*k[547]*y[:,20] - M*k[549]*y[:,9] - M*k[558] - M*k[563] - k[115]*y[:,13] - k[145]*y[:,10] - k[167]*y[:,16] - k[169]*y[:,16] - k[184]*y[:,30] - k[190]*y[:,11] - k[199]*y[:,11] - k[231]*y[:,22] - k[241]*y[:,23] - k[253]*y[:,1] - k[259]*y[:,18] - k[25]*y[:,5] - k[269]*y[:,17] - k[279]*y[:,19] - 4*k[287]*y[:,4] - k[289]*y[:,6] - k[291]*y[:,20] - k[293]*y[:,9] - k[295]*y[:,9] - k[3]*y[:,0] - k[582]*y[:,20] - k[584]*y[:,9]**2 - k[590]*y[:,9] - k[614]*y[:,18] - k[65]*y[:,7] - k[70]*y[:,2])
    dfdy[indx[4], indx[5]] = -(M*k[500] + k[116]*y[:,9] - k[25]*y[:,4] + k[4]*y[:,2])
    dfdy[indx[4], indx[6]] = -(M*k[557]*y[:,9] + k[189]*y[:,21] - k[289]*y[:,4] + k[294]*y[:,20] + k[69]*y[:,7])
    dfdy[indx[4], indx[7]] = -(k[146]*y[:,9] + k[26]*y[:,17] - k[65]*y[:,4] + k[69]*y[:,6])
    dfdy[indx[4], indx[8]] = -(0)
    dfdy[indx[4], indx[9]] = -(-M*k[549]*y[:,4] + M*k[557]*y[:,6] + k[116]*y[:,5] + k[146]*y[:,7] + 2*k[168]*y[:,2]*y[:,9] + k[200]*y[:,31] + k[232]*y[:,21] + 2*k[242]*y[:,14]*y[:,9] + k[254]*y[:,11] + k[270]*y[:,33] + 2*k[280]*y[:,34]*y[:,9] + k[290]*y[:,34] + k[292]*y[:,17] - k[293]*y[:,4] - k[295]*y[:,4] + k[296]*y[:,19] - 2*k[584]*y[:,4]*y[:,9] - k[590]*y[:,4])
    dfdy[indx[4], indx[10]] = -(-k[145]*y[:,4])
    dfdy[indx[4], indx[11]] = -(-k[190]*y[:,4] - k[199]*y[:,4] + k[254]*y[:,9])
    dfdy[indx[4], indx[12]] = -(0)
    dfdy[indx[4], indx[13]] = -(-k[115]*y[:,4])
    dfdy[indx[4], indx[14]] = -(-M*k[517]*y[:,4] + k[242]*y[:,9]**2)
    dfdy[indx[4], indx[15]] = -(0)
    dfdy[indx[4], indx[16]] = -(-M*k[499]*y[:,4] - k[167]*y[:,4] - k[169]*y[:,4])
    dfdy[indx[4], indx[17]] = -(M*k[550] + 2*k[260]*y[:,17] - k[269]*y[:,4] + k[26]*y[:,7] + k[292]*y[:,9] + k[589] + k[66]*y[:,2])
    dfdy[indx[4], indx[18]] = -(-M*k[535]*y[:,4] + M*k[548] - k[259]*y[:,4] + k[581] + k[583] - k[614]*y[:,4])
    dfdy[indx[4], indx[19]] = -(M*k[564] - k[279]*y[:,4] + k[296]*y[:,9])
    dfdy[indx[4], indx[20]] = -(-M*k[547]*y[:,4] + k[170]*y[:,2] + 2*k[288]*y[:,34] - k[291]*y[:,4] + k[294]*y[:,6] - k[582]*y[:,4])
    dfdy[indx[4], indx[21]] = -(M*k[530] + k[183]*y[:,1] + k[189]*y[:,6] + k[232]*y[:,9])
    dfdy[indx[4], indx[22]] = -(-k[231]*y[:,4])
    dfdy[indx[4], indx[23]] = -(-k[241]*y[:,4])
    dfdy[indx[4], indx[24]] = -(0)
    dfdy[indx[4], indx[25]] = -(0)
    dfdy[indx[4], indx[26]] = -(0)
    dfdy[indx[4], indx[27]] = -(0)
    dfdy[indx[4], indx[28]] = -(0)
    dfdy[indx[4], indx[29]] = -(0)
    dfdy[indx[4], indx[30]] = -(-k[184]*y[:,4])
    dfdy[indx[4], indx[31]] = -(M*k[518] + k[200]*y[:,9])
    dfdy[indx[4], indx[32]] = -(0)
    dfdy[indx[4], indx[33]] = -(2*M*k[546] + k[270]*y[:,9])
    dfdy[indx[4], indx[34]] = -(k[280]*y[:,9]**2 + 2*k[288]*y[:,20] + k[290]*y[:,9])
    dfdy[indx[4], indx[35]] = -(0)
    dfdy[indx[4], indx[36]] = -(0)
    dfdy[indx[4], indx[37]] = -(0)
    dfdy[indx[4], indx[38]] = -(0)
    dfdy[indx[4], indx[39]] = -(0)
    dfdy[indx[4], indx[40]] = -(M*k[536] + k[613])
    dfdy[indx[4], indx[41]] = -(0)
    dfdy[indx[4], indx[42]] = -(0)
    dfdy[indx[4], indx[43]] = -(0)
    dfdy[indx[4], indx[44]] = -(0)
    dfdy[indx[4], indx[45]] = -(0)
    dfdy[indx[4], indx[46]] = -(0)
    dfdy[indx[4], indx[47]] = -(0)
    dfdy[indx[4], indx[48]] = -(0)
    dfdy[indx[4], indx[49]] = -(0)
    dfdy[indx[4], indx[50]] = -(0)
    dfdy[indx[4], indx[51]] = -(0)
    dfdy[indx[4], indx[52]] = -(0)
    dfdy[indx[5], indx[0]] = -(k[3]*y[:,4])
    dfdy[indx[5], indx[1]] = -(0)
    dfdy[indx[5], indx[2]] = -(k[14]*y[:,15]*y[:,9] + k[28]*y[:,17] - k[36]*y[:,5] - k[4]*y[:,5] + k[622]*y[:,20])
    dfdy[indx[5], indx[3]] = -(-k[432]*y[:,5])
    dfdy[indx[5], indx[4]] = -(M*k[499]*y[:,16] + k[115]*y[:,13] - k[25]*y[:,5] + k[3]*y[:,0])
    dfdy[indx[5], indx[5]] = -(-M*k[460] - M*k[486] - M*k[500] - k[112]*y[:,9] - k[116]*y[:,9] - k[11]*y[:,14] - k[13]*y[:,13] - k[140]*y[:,9] - k[15]*y[:,13] - k[164]*y[:,9] - k[17]*y[:,10] - k[19]*y[:,16] - k[21]*y[:,17] - k[23]*y[:,19] - k[25]*y[:,4] - k[27]*y[:,6] - k[29]*y[:,6] - k[31]*y[:,9] - k[34]*y[:,11] - k[368]*y[:,19] - k[36]*y[:,2] - k[432]*y[:,3] - k[450]*y[:,15]*y[:,9] - k[4]*y[:,2] - k[50]*y[:,23] - k[621] - k[623] - k[632]*y[:,20] - k[86]*y[:,9])
    dfdy[indx[5], indx[6]] = -(-k[27]*y[:,5] - k[29]*y[:,5] + k[85]*y[:,15])
    dfdy[indx[5], indx[7]] = -(M*k[459]*y[:,9] + k[12]*y[:,11] + k[16]*y[:,15] + k[18]*y[:,13] + k[20]*y[:,13] + k[22]*y[:,18] + k[24]*y[:,17] + k[26]*y[:,17] + k[30]*y[:,19] + k[32]*y[:,20] + k[33]*y[:,21] + 2*k[35]*y[:,7] + k[431]*y[:,25] + k[49]*y[:,22] + k[624]*y[:,9])
    dfdy[indx[5], indx[8]] = -(0)
    dfdy[indx[5], indx[9]] = -(M*k[459]*y[:,7] - k[112]*y[:,5] - k[116]*y[:,5] - k[140]*y[:,5] + k[14]*y[:,15]*y[:,2] - k[164]*y[:,5] - k[31]*y[:,5] - k[450]*y[:,15]*y[:,5] + k[624]*y[:,7] - k[86]*y[:,5])
    dfdy[indx[5], indx[10]] = -(M*k[485]*y[:,19] + k[139]*y[:,17] - k[17]*y[:,5] + k[367]*y[:,33])
    dfdy[indx[5], indx[11]] = -(k[12]*y[:,7] - k[34]*y[:,5])
    dfdy[indx[5], indx[12]] = -(0)
    dfdy[indx[5], indx[13]] = -(k[111]*y[:,19] + k[115]*y[:,4] - k[13]*y[:,5] - k[15]*y[:,5] + k[18]*y[:,7] + k[20]*y[:,7] + k[449]*y[:,45])
    dfdy[indx[5], indx[14]] = -(-k[11]*y[:,5])
    dfdy[indx[5], indx[15]] = -(k[14]*y[:,2]*y[:,9] + k[16]*y[:,7] - k[450]*y[:,5]*y[:,9] + k[85]*y[:,6])
    dfdy[indx[5], indx[16]] = -(M*k[499]*y[:,4] + k[163]*y[:,17] - k[19]*y[:,5])
    dfdy[indx[5], indx[17]] = -(k[139]*y[:,10] + k[163]*y[:,16] - k[21]*y[:,5] + k[24]*y[:,7] + k[26]*y[:,7] + k[28]*y[:,2])
    dfdy[indx[5], indx[18]] = -(k[22]*y[:,7])
    dfdy[indx[5], indx[19]] = -(M*k[485]*y[:,10] + k[111]*y[:,13] - k[23]*y[:,5] + k[30]*y[:,7] - k[368]*y[:,5])
    dfdy[indx[5], indx[20]] = -(k[32]*y[:,7] + k[622]*y[:,2] - k[632]*y[:,5])
    dfdy[indx[5], indx[21]] = -(k[33]*y[:,7])
    dfdy[indx[5], indx[22]] = -(k[49]*y[:,7])
    dfdy[indx[5], indx[23]] = -(-k[50]*y[:,5])
    dfdy[indx[5], indx[24]] = -(0)
    dfdy[indx[5], indx[25]] = -(k[431]*y[:,7])
    dfdy[indx[5], indx[26]] = -(0)
    dfdy[indx[5], indx[27]] = -(0)
    dfdy[indx[5], indx[28]] = -(0)
    dfdy[indx[5], indx[29]] = -(0)
    dfdy[indx[5], indx[30]] = -(0)
    dfdy[indx[5], indx[31]] = -(0)
    dfdy[indx[5], indx[32]] = -(0)
    dfdy[indx[5], indx[33]] = -(k[367]*y[:,10])
    dfdy[indx[5], indx[34]] = -(0)
    dfdy[indx[5], indx[35]] = -(0)
    dfdy[indx[5], indx[36]] = -(0)
    dfdy[indx[5], indx[37]] = -(0)
    dfdy[indx[5], indx[38]] = -(0)
    dfdy[indx[5], indx[39]] = -(0)
    dfdy[indx[5], indx[40]] = -(0)
    dfdy[indx[5], indx[41]] = -(0)
    dfdy[indx[5], indx[42]] = -(0)
    dfdy[indx[5], indx[43]] = -(0)
    dfdy[indx[5], indx[44]] = -(0)
    dfdy[indx[5], indx[45]] = -(k[449]*y[:,13] + k[631])
    dfdy[indx[5], indx[46]] = -(0)
    dfdy[indx[5], indx[47]] = -(0)
    dfdy[indx[5], indx[48]] = -(0)
    dfdy[indx[5], indx[49]] = -(0)
    dfdy[indx[5], indx[50]] = -(0)
    dfdy[indx[5], indx[51]] = -(0)
    dfdy[indx[5], indx[52]] = -(0)
    dfdy[indx[6], indx[0]] = -(-k[5]*y[:,6])
    dfdy[indx[6], indx[1]] = -(k[197]*y[:,11] - k[255]*y[:,6])
    dfdy[indx[6], indx[2]] = -(-M*k[463]*y[:,6] + k[120]*y[:,20] + k[122]*y[:,9]**2 + k[148]*y[:,9] + k[172]*y[:,9] + k[28]*y[:,17] - k[324]*y[:,6] + k[330]*y[:,13] + k[68]*y[:,19] + k[6]*y[:,7] + k[70]*y[:,4])
    dfdy[indx[6], indx[3]] = -(0)
    dfdy[indx[6], indx[4]] = -(M*k[558] + k[190]*y[:,11] - k[289]*y[:,6] + k[293]*y[:,9] + k[70]*y[:,2])
    dfdy[indx[6], indx[5]] = -(-k[27]*y[:,6] - k[29]*y[:,6] + k[86]*y[:,9])
    dfdy[indx[6], indx[6]] = -(-M*k[463]*y[:,2] - M*k[487]*y[:,10] - M*k[501]*y[:,16] - M*k[509]*y[:,11] - 4*M*k[551]*y[:,6] - M*k[553]*y[:,20] - M*k[555]*y[:,9] - M*k[557]*y[:,9] - k[114]*y[:,15] - k[117]*y[:,13] - k[119]*y[:,13] - k[121]*y[:,13] - k[147]*y[:,10] - k[149]*y[:,10] - k[171]*y[:,16] - k[185]*y[:,21] - k[187]*y[:,21] - k[189]*y[:,21] - k[198]*y[:,30] - k[206]*y[:,30] - k[215]*y[:,14] - k[233]*y[:,22] - k[243]*y[:,23] - k[255]*y[:,1] - k[261]*y[:,18] - k[271]*y[:,17] - k[273]*y[:,17] - k[27]*y[:,5] - k[281]*y[:,19] - k[283]*y[:,19] - k[286]*y[:,20] - k[289]*y[:,4] - k[294]*y[:,20] - 4*k[297]*y[:,6] - k[299]*y[:,9] - k[29]*y[:,5] - k[324]*y[:,2] - k[329]*y[:,27] - k[387]*y[:,40] - k[389]*y[:,40] - k[586]*y[:,20]*y[:,9] - k[588]*y[:,20] - k[5]*y[:,0] - k[658]*y[:,9] - k[659] - k[67]*y[:,7] - k[69]*y[:,7] - k[85]*y[:,15])
    dfdy[indx[6], indx[7]] = -(M*k[488] + M*k[502] + k[118]*y[:,9] + k[30]*y[:,19] - k[67]*y[:,6] - k[69]*y[:,6] + k[6]*y[:,2])
    dfdy[indx[6], indx[8]] = -(0)
    dfdy[indx[6], indx[9]] = -(-M*k[555]*y[:,6] - M*k[557]*y[:,6] + k[118]*y[:,7] + 2*k[122]*y[:,2]*y[:,9] + k[148]*y[:,2] + k[172]*y[:,2] + k[186]*y[:,31] + k[234]*y[:,11] + k[244]*y[:,14] + k[256]*y[:,14] + k[262]*y[:,33] + 2*k[274]*y[:,34]*y[:,9] + k[282]*y[:,34] + 2*k[284]*y[:,35]*y[:,9] + k[285]*y[:,19] + k[290]*y[:,34] + k[293]*y[:,4] + 2*k[298]*y[:,35] - k[299]*y[:,6] + k[390]*y[:,41] - k[586]*y[:,20]*y[:,6] - k[658]*y[:,6] + k[660]*y[:,29] + k[86]*y[:,5])
    dfdy[indx[6], indx[10]] = -(-M*k[487]*y[:,6] - k[147]*y[:,6] - k[149]*y[:,6] + k[323]*y[:,35])
    dfdy[indx[6], indx[11]] = -(-M*k[509]*y[:,6] + k[188]*y[:,19] + k[190]*y[:,4] + k[197]*y[:,1] + k[216]*y[:,29] + k[234]*y[:,9])
    dfdy[indx[6], indx[12]] = -(0)
    dfdy[indx[6], indx[13]] = -(k[113]*y[:,19] - k[117]*y[:,6] - k[119]*y[:,6] - k[121]*y[:,6] + k[150]*y[:,29] + k[330]*y[:,2])
    dfdy[indx[6], indx[14]] = -(k[205]*y[:,22] - k[215]*y[:,6] + k[244]*y[:,9] + k[256]*y[:,9])
    dfdy[indx[6], indx[15]] = -(-k[114]*y[:,6] - k[85]*y[:,6])
    dfdy[indx[6], indx[16]] = -(-M*k[501]*y[:,6] - k[171]*y[:,6])
    dfdy[indx[6], indx[17]] = -(M*k[554] - k[271]*y[:,6] - k[273]*y[:,6] + k[28]*y[:,2] + k[388]*y[:,33] + k[587])
    dfdy[indx[6], indx[18]] = -(-k[261]*y[:,6] + k[585])
    dfdy[indx[6], indx[19]] = -(M*k[556] + k[113]*y[:,13] + k[188]*y[:,11] - k[281]*y[:,6] - k[283]*y[:,6] + k[285]*y[:,9] + k[30]*y[:,7] + k[657] + k[68]*y[:,2])
    dfdy[indx[6], indx[20]] = -(-M*k[553]*y[:,6] + k[120]*y[:,2] - k[286]*y[:,6] - k[294]*y[:,6] + k[300]*y[:,29] - k[586]*y[:,6]*y[:,9] - k[588]*y[:,6])
    dfdy[indx[6], indx[21]] = -(-k[185]*y[:,6] - k[187]*y[:,6] - k[189]*y[:,6])
    dfdy[indx[6], indx[22]] = -(k[205]*y[:,14] - k[233]*y[:,6])
    dfdy[indx[6], indx[23]] = -(-k[243]*y[:,6])
    dfdy[indx[6], indx[24]] = -(0)
    dfdy[indx[6], indx[25]] = -(0)
    dfdy[indx[6], indx[26]] = -(0)
    dfdy[indx[6], indx[27]] = -(-k[329]*y[:,6])
    dfdy[indx[6], indx[28]] = -(0)
    dfdy[indx[6], indx[29]] = -(k[150]*y[:,13] + k[216]*y[:,11] + k[300]*y[:,20] + k[660]*y[:,9])
    dfdy[indx[6], indx[30]] = -(-k[198]*y[:,6] - k[206]*y[:,6])
    dfdy[indx[6], indx[31]] = -(M*k[510] + k[186]*y[:,9])
    dfdy[indx[6], indx[32]] = -(0)
    dfdy[indx[6], indx[33]] = -(k[262]*y[:,9] + k[272] + k[388]*y[:,17])
    dfdy[indx[6], indx[34]] = -(2*M*k[552] + k[274]*y[:,9]**2 + k[282]*y[:,9] + k[290]*y[:,9])
    dfdy[indx[6], indx[35]] = -(k[284]*y[:,9]**2 + 2*k[298]*y[:,9] + k[323]*y[:,10])
    dfdy[indx[6], indx[36]] = -(0)
    dfdy[indx[6], indx[37]] = -(M*k[464])
    dfdy[indx[6], indx[38]] = -(0)
    dfdy[indx[6], indx[39]] = -(0)
    dfdy[indx[6], indx[40]] = -(-k[387]*y[:,6] - k[389]*y[:,6])
    dfdy[indx[6], indx[41]] = -(k[390]*y[:,9])
    dfdy[indx[6], indx[42]] = -(0)
    dfdy[indx[6], indx[43]] = -(0)
    dfdy[indx[6], indx[44]] = -(0)
    dfdy[indx[6], indx[45]] = -(0)
    dfdy[indx[6], indx[46]] = -(0)
    dfdy[indx[6], indx[47]] = -(0)
    dfdy[indx[6], indx[48]] = -(0)
    dfdy[indx[6], indx[49]] = -(0)
    dfdy[indx[6], indx[50]] = -(0)
    dfdy[indx[6], indx[51]] = -(0)
    dfdy[indx[6], indx[52]] = -(0)
    dfdy[indx[7], indx[0]] = -(k[44]*y[:,9] + k[48]*y[:,9] + k[5]*y[:,6])
    dfdy[indx[7], indx[1]] = -(-M*k[455]*y[:,7] - k[57]*y[:,7] - k[59]*y[:,7])
    dfdy[indx[7], indx[2]] = -(M*k[465]*y[:,9] + k[332]*y[:,36] - k[336]*y[:,7] + 2*k[36]*y[:,5] + 4*k[38]*y[:,20]*y[:,2] + k[40]*y[:,11] + k[42]*y[:,15] + k[46]*y[:,13] + k[52]*y[:,24] + k[56]*y[:,22] + k[60]*y[:,22] + k[620]*y[:,9] + k[62]*y[:,18] + k[64]*y[:,17] + k[66]*y[:,17] + k[68]*y[:,19] - k[6]*y[:,7] + k[70]*y[:,4] + k[72]*y[:,20] + k[74]*y[:,9]**2 + k[76]*y[:,9])
    dfdy[indx[7], indx[3]] = -(k[432]*y[:,5])
    dfdy[indx[7], indx[4]] = -(k[145]*y[:,10] + k[25]*y[:,5] - k[65]*y[:,7] + k[70]*y[:,2])
    dfdy[indx[7], indx[5]] = -(M*k[460] + k[11]*y[:,14] + k[15]*y[:,13] + k[17]*y[:,10] + k[19]*y[:,16] + k[21]*y[:,17] + k[23]*y[:,19] + k[25]*y[:,4] + k[29]*y[:,6] + k[31]*y[:,9] + k[34]*y[:,11] + 2*k[36]*y[:,2] + k[432]*y[:,3] + k[50]*y[:,23] + k[623])
    dfdy[indx[7], indx[6]] = -(M*k[487]*y[:,10] + M*k[501]*y[:,16] + k[117]*y[:,13] + k[29]*y[:,5] + k[5]*y[:,0] - k[67]*y[:,7] - k[69]*y[:,7])
    dfdy[indx[7], indx[7]] = -(-M*k[455]*y[:,1] - M*k[457]*y[:,17] - M*k[459]*y[:,9] - M*k[466] - M*k[488] - M*k[502] - k[118]*y[:,9] - k[12]*y[:,11] - k[146]*y[:,9] - k[166]*y[:,9] - k[16]*y[:,15] - k[18]*y[:,13] - k[20]*y[:,13] - k[22]*y[:,18] - k[24]*y[:,17] - k[26]*y[:,17] - k[30]*y[:,19] - k[32]*y[:,20] - k[331]*y[:,27] - k[336]*y[:,2] - k[33]*y[:,21] - 4*k[35]*y[:,7] - k[366]*y[:,17] - 4*k[37]*y[:,7] - k[39]*y[:,14] - k[41]*y[:,13] - k[431]*y[:,25] - k[43]*y[:,10] - k[442]*y[:,11]*y[:,20] - k[446]*y[:,18] - k[45]*y[:,10] - k[47]*y[:,16] - k[49]*y[:,22] - k[51]*y[:,22] - k[53]*y[:,23] - k[55]*y[:,23] - k[57]*y[:,1] - k[59]*y[:,1] - k[619] - k[61]*y[:,17] - k[624]*y[:,9] - k[638]*y[:,17] - k[63]*y[:,19] - k[65]*y[:,4] - k[67]*y[:,6] - k[69]*y[:,6] - k[6]*y[:,2] - k[71]*y[:,9] - k[73]*y[:,9] - k[75])
    dfdy[indx[7], indx[8]] = -(k[54]*y[:,9] + k[58]*y[:,9])
    dfdy[indx[7], indx[9]] = -(-M*k[459]*y[:,7] + M*k[465]*y[:,2] - k[118]*y[:,7] - k[146]*y[:,7] - k[166]*y[:,7] + k[31]*y[:,5] + k[445]*y[:,44] + k[44]*y[:,0] + k[48]*y[:,0] + k[54]*y[:,8] + k[58]*y[:,8] + k[620]*y[:,2] - k[624]*y[:,7] - k[71]*y[:,7] - k[73]*y[:,7] + 2*k[74]*y[:,2]*y[:,9] + k[76]*y[:,2])
    dfdy[indx[7], indx[10]] = -(M*k[487]*y[:,6] + k[145]*y[:,4] + k[17]*y[:,5] + k[365]*y[:,33] - k[43]*y[:,7] - k[45]*y[:,7])
    dfdy[indx[7], indx[11]] = -(-k[12]*y[:,7] + k[34]*y[:,5] + k[40]*y[:,2] - k[442]*y[:,20]*y[:,7])
    dfdy[indx[7], indx[12]] = -(0)
    dfdy[indx[7], indx[13]] = -(k[117]*y[:,6] + k[15]*y[:,5] - k[18]*y[:,7] - k[20]*y[:,7] - k[41]*y[:,7] + k[46]*y[:,2])
    dfdy[indx[7], indx[14]] = -(k[11]*y[:,5] - k[39]*y[:,7])
    dfdy[indx[7], indx[15]] = -(-k[16]*y[:,7] + k[42]*y[:,2])
    dfdy[indx[7], indx[16]] = -(M*k[501]*y[:,6] + k[165]*y[:,19] + k[19]*y[:,5] - k[47]*y[:,7])
    dfdy[indx[7], indx[17]] = -(-M*k[457]*y[:,7] + k[21]*y[:,5] - k[24]*y[:,7] - k[26]*y[:,7] - k[366]*y[:,7] - k[61]*y[:,7] - k[638]*y[:,7] + k[64]*y[:,2] + k[66]*y[:,2])
    dfdy[indx[7], indx[18]] = -(-k[22]*y[:,7] - k[446]*y[:,7] + k[62]*y[:,2])
    dfdy[indx[7], indx[19]] = -(k[165]*y[:,16] + k[23]*y[:,5] - k[30]*y[:,7] - k[63]*y[:,7] + k[68]*y[:,2])
    dfdy[indx[7], indx[20]] = -(-k[32]*y[:,7] + 2*k[38]*y[:,2]**2 - k[442]*y[:,11]*y[:,7] + k[72]*y[:,2])
    dfdy[indx[7], indx[21]] = -(-k[33]*y[:,7])
    dfdy[indx[7], indx[22]] = -(-k[49]*y[:,7] - k[51]*y[:,7] + k[56]*y[:,2] + k[60]*y[:,2])
    dfdy[indx[7], indx[23]] = -(k[441]*y[:,44] + k[50]*y[:,5] - k[53]*y[:,7] - k[55]*y[:,7])
    dfdy[indx[7], indx[24]] = -(k[52]*y[:,2])
    dfdy[indx[7], indx[25]] = -(-k[431]*y[:,7])
    dfdy[indx[7], indx[26]] = -(0)
    dfdy[indx[7], indx[27]] = -(-k[331]*y[:,7] + k[335]*y[:,35])
    dfdy[indx[7], indx[28]] = -(M*k[456])
    dfdy[indx[7], indx[29]] = -(0)
    dfdy[indx[7], indx[30]] = -(0)
    dfdy[indx[7], indx[31]] = -(0)
    dfdy[indx[7], indx[32]] = -(0)
    dfdy[indx[7], indx[33]] = -(k[365]*y[:,10])
    dfdy[indx[7], indx[34]] = -(0)
    dfdy[indx[7], indx[35]] = -(k[335]*y[:,27])
    dfdy[indx[7], indx[36]] = -(k[332]*y[:,2])
    dfdy[indx[7], indx[37]] = -(0)
    dfdy[indx[7], indx[38]] = -(0)
    dfdy[indx[7], indx[39]] = -(0)
    dfdy[indx[7], indx[40]] = -(0)
    dfdy[indx[7], indx[41]] = -(0)
    dfdy[indx[7], indx[42]] = -(0)
    dfdy[indx[7], indx[43]] = -(0)
    dfdy[indx[7], indx[44]] = -(M*k[458] + k[441]*y[:,23] + k[445]*y[:,9] + k[637])
    dfdy[indx[7], indx[45]] = -(0)
    dfdy[indx[7], indx[46]] = -(0)
    dfdy[indx[7], indx[47]] = -(0)
    dfdy[indx[7], indx[48]] = -(0)
    dfdy[indx[7], indx[49]] = -(0)
    dfdy[indx[7], indx[50]] = -(0)
    dfdy[indx[7], indx[51]] = -(0)
    dfdy[indx[7], indx[52]] = -(0)
    dfdy[indx[8], indx[0]] = -(k[328]*y[:,3] + k[344]*y[:,30])
    dfdy[indx[8], indx[1]] = -(k[57]*y[:,7])
    dfdy[indx[8], indx[2]] = -(k[340]*y[:,3] + k[342]*y[:,22])
    dfdy[indx[8], indx[3]] = -(k[328]*y[:,0] + k[340]*y[:,2] - k[343]*y[:,8])
    dfdy[indx[8], indx[4]] = -(0)
    dfdy[indx[8], indx[5]] = -(0)
    dfdy[indx[8], indx[6]] = -(0)
    dfdy[indx[8], indx[7]] = -(k[53]*y[:,23] + k[57]*y[:,1])
    dfdy[indx[8], indx[8]] = -(-M*k[480] - M*k[494] - k[327]*y[:,27] - k[338]*y[:,10] - k[339]*y[:,10] - k[341]*y[:,9] - k[343]*y[:,3] - k[54]*y[:,9] - k[58]*y[:,9] - k[656]*y[:,9] - k[7]*y[:,9] - k[90]*y[:,9])
    dfdy[indx[8], indx[9]] = -(-k[341]*y[:,8] - k[54]*y[:,8] - k[58]*y[:,8] - k[656]*y[:,8] - k[7]*y[:,8] - k[90]*y[:,8])
    dfdy[indx[8], indx[10]] = -(M*k[479]*y[:,14] - k[338]*y[:,8] - k[339]*y[:,8] + k[8]*y[:,11])
    dfdy[indx[8], indx[11]] = -(k[8]*y[:,10])
    dfdy[indx[8], indx[12]] = -(0)
    dfdy[indx[8], indx[13]] = -(k[89]*y[:,14])
    dfdy[indx[8], indx[14]] = -(M*k[479]*y[:,10] + M*k[493]*y[:,16] + k[337]*y[:,27] + k[89]*y[:,13])
    dfdy[indx[8], indx[15]] = -(0)
    dfdy[indx[8], indx[16]] = -(M*k[493]*y[:,14])
    dfdy[indx[8], indx[17]] = -(0)
    dfdy[indx[8], indx[18]] = -(0)
    dfdy[indx[8], indx[19]] = -(0)
    dfdy[indx[8], indx[20]] = -(0)
    dfdy[indx[8], indx[21]] = -(0)
    dfdy[indx[8], indx[22]] = -(k[342]*y[:,2])
    dfdy[indx[8], indx[23]] = -(k[53]*y[:,7])
    dfdy[indx[8], indx[24]] = -(0)
    dfdy[indx[8], indx[25]] = -(0)
    dfdy[indx[8], indx[26]] = -(0)
    dfdy[indx[8], indx[27]] = -(-k[327]*y[:,8] + k[337]*y[:,14])
    dfdy[indx[8], indx[28]] = -(0)
    dfdy[indx[8], indx[29]] = -(0)
    dfdy[indx[8], indx[30]] = -(k[344]*y[:,0])
    dfdy[indx[8], indx[31]] = -(0)
    dfdy[indx[8], indx[32]] = -(0)
    dfdy[indx[8], indx[33]] = -(0)
    dfdy[indx[8], indx[34]] = -(0)
    dfdy[indx[8], indx[35]] = -(0)
    dfdy[indx[8], indx[36]] = -(0)
    dfdy[indx[8], indx[37]] = -(0)
    dfdy[indx[8], indx[38]] = -(0)
    dfdy[indx[8], indx[39]] = -(0)
    dfdy[indx[8], indx[40]] = -(0)
    dfdy[indx[8], indx[41]] = -(0)
    dfdy[indx[8], indx[42]] = -(0)
    dfdy[indx[8], indx[43]] = -(0)
    dfdy[indx[8], indx[44]] = -(0)
    dfdy[indx[8], indx[45]] = -(0)
    dfdy[indx[8], indx[46]] = -(0)
    dfdy[indx[8], indx[47]] = -(0)
    dfdy[indx[8], indx[48]] = -(0)
    dfdy[indx[8], indx[49]] = -(0)
    dfdy[indx[8], indx[50]] = -(k[655])
    dfdy[indx[8], indx[51]] = -(0)
    dfdy[indx[8], indx[52]] = -(0)
    dfdy[indx[9], indx[0]] = -(-k[44]*y[:,9] - k[48]*y[:,9] - k[78]*y[:,9])
    dfdy[indx[9], indx[1]] = -(-M*k[533]*y[:,9] + k[105]*y[:,13] + k[225]*y[:,22] + k[247]*y[:,17] + k[249]*y[:,19] + 2*k[251]*y[:,19] + k[253]*y[:,4] + k[255]*y[:,6] + k[257]*y[:,20] + k[451]*y[:,33] + k[57]*y[:,7] + k[83]*y[:,15])
    dfdy[indx[9], indx[2]] = -(-M*k[465]*y[:,9] - 2*k[122]*y[:,9]**2 - 2*k[142]*y[:,9]**2 - k[148]*y[:,9] - k[14]*y[:,15]*y[:,9] - 2*k[168]*y[:,9]**2 - k[172]*y[:,9] + k[316]*y[:,19] - 2*k[318]*y[:,2]*y[:,9] + k[342]*y[:,22] + k[444]*y[:,17]*y[:,20] - k[620]*y[:,9] + k[72]*y[:,20] - k[74]*y[:,9]**2 - k[76]*y[:,9] + k[77]*y[:,13])
    dfdy[indx[9], indx[3]] = -(-k[104]*y[:,9] - k[106]*y[:,9] - k[134]*y[:,9] + k[428]*y[:,20])
    dfdy[indx[9], indx[4]] = -(-M*k[549]*y[:,9] + M*k[558] + k[115]*y[:,13] + k[145]*y[:,10] + 2*k[167]*y[:,16] + k[199]*y[:,11] + k[231]*y[:,22] + 2*k[241]*y[:,23] + k[253]*y[:,1] + k[269]*y[:,17] + 2*k[279]*y[:,19] + k[289]*y[:,6] + k[291]*y[:,20] - k[293]*y[:,9] - 2*k[584]*y[:,9]**2 - k[590]*y[:,9])
    dfdy[indx[9], indx[5]] = -(M*k[460] - k[112]*y[:,9] - k[116]*y[:,9] + k[13]*y[:,13] - k[140]*y[:,9] - k[164]*y[:,9] - k[31]*y[:,9] - k[450]*y[:,15]*y[:,9] + k[623] - k[86]*y[:,9])
    dfdy[indx[9], indx[6]] = -(-M*k[555]*y[:,9] - M*k[557]*y[:,9] + k[117]*y[:,13] + 2*k[121]*y[:,13] + k[147]*y[:,10] + k[171]*y[:,16] + k[185]*y[:,21] + k[233]*y[:,22] + k[243]*y[:,23] + k[255]*y[:,1] + k[261]*y[:,18] + 2*k[273]*y[:,17] + k[281]*y[:,19] + 2*k[283]*y[:,19] + k[286]*y[:,20] + k[289]*y[:,4] + k[294]*y[:,20] + 2*k[297]*y[:,6] - k[299]*y[:,9] + k[389]*y[:,40] - k[586]*y[:,20]*y[:,9] - k[658]*y[:,9] + k[659] + k[85]*y[:,15])
    dfdy[indx[9], indx[7]] = -(-M*k[459]*y[:,9] + M*k[466] - k[118]*y[:,9] - k[146]*y[:,9] - k[166]*y[:,9] + k[32]*y[:,20] + k[43]*y[:,10] + k[446]*y[:,18] + k[47]*y[:,16] + k[53]*y[:,23] + k[57]*y[:,1] + k[619] - k[624]*y[:,9] - k[71]*y[:,9] + k[73]*y[:,9] + k[75])
    dfdy[indx[9], indx[8]] = -(-k[341]*y[:,9] - k[54]*y[:,9] - k[58]*y[:,9] - k[656]*y[:,9] - k[7]*y[:,9] - k[90]*y[:,9])
    dfdy[indx[9], indx[9]] = -(-M*k[459]*y[:,7] - M*k[465]*y[:,2] - M*k[477]*y[:,13] - M*k[489]*y[:,10] - M*k[505]*y[:,16] - M*k[519]*y[:,14] - M*k[525]*y[:,23] - M*k[533]*y[:,1] - M*k[539]*y[:,17] - M*k[543]*y[:,19] - M*k[549]*y[:,4] - M*k[555]*y[:,6] - M*k[557]*y[:,6] - 4*M*k[559]*y[:,9] - M*k[565]*y[:,35] - M*k[569]*y[:,27] - k[100]*y[:,25] - k[104]*y[:,3] - k[106]*y[:,3] - k[112]*y[:,5] - k[116]*y[:,5] - k[118]*y[:,7] - 4*k[122]*y[:,2]*y[:,9] - k[124]*y[:,15] - k[126]*y[:,28] - k[134]*y[:,3] - k[140]*y[:,5] - 4*k[142]*y[:,2]*y[:,9] - k[146]*y[:,7] - k[148]*y[:,2] - k[14]*y[:,15]*y[:,2] - k[152]*y[:,13] - k[156]*y[:,28] - k[164]*y[:,5] - k[166]*y[:,7] - 4*k[168]*y[:,2]*y[:,9] - k[172]*y[:,2] - k[174]*y[:,13] - k[186]*y[:,31] - k[191]*y[:,21] - k[194]*y[:,11] - k[196]*y[:,32] - k[200]*y[:,31] - k[218]*y[:,11] - 4*k[220]*y[:,30]*y[:,9] - k[224]*y[:,30] - k[226]*y[:,30] - k[230]*y[:,21] - k[232]*y[:,21] - k[234]*y[:,11] - k[235]*y[:,22] - k[238]*y[:,21] - k[240]*y[:,11] - 4*k[242]*y[:,14]*y[:,9] - k[244]*y[:,14] - k[248]*y[:,21] - k[250]*y[:,11] - 4*k[252]*y[:,14]*y[:,9] - k[254]*y[:,11] - k[256]*y[:,14] - k[258]*y[:,22] - k[262]*y[:,33] - k[263]*y[:,18] - k[268]*y[:,33] - k[270]*y[:,33] - 4*k[274]*y[:,34]*y[:,9] - k[275]*y[:,17] - 4*k[280]*y[:,34]*y[:,9] - k[282]*y[:,34] - 4*k[284]*y[:,35]*y[:,9] - k[285]*y[:,19] - k[290]*y[:,34] - k[292]*y[:,17] - k[293]*y[:,4] - k[298]*y[:,35] - k[299]*y[:,6] - k[307]*y[:,36] - k[309]*y[:,36] - k[311]*y[:,36] - k[315]*y[:,37] - k[318]*y[:,2]**2 - k[31]*y[:,5] - k[341]*y[:,8] - k[352]*y[:,34] - k[362]*y[:,38] - k[372]*y[:,15]*y[:,34] - k[374]*y[:,18]*y[:,34] - k[376]*y[:,39] - k[378]*y[:,11]*y[:,34] - k[380]*y[:,17]*y[:,33] - k[382]*y[:,13]*y[:,33] - k[386]*y[:,15]*y[:,33] - k[390]*y[:,41] - k[392]*y[:,18]*y[:,33] - k[394]*y[:,33]*y[:,34] - k[396]*y[:,11]*y[:,33] - k[398]*y[:,13]*y[:,33] - k[404]*y[:,38] - k[406]*y[:,25] - k[420]*y[:,43] - k[422]*y[:,33]*y[:,43] - k[427]*y[:,25] - k[443]*y[:,44] - k[445]*y[:,44] - k[44]*y[:,0] - k[450]*y[:,15]*y[:,5] - k[452]*y[:,46] - k[454]*y[:,34]*y[:,46] - k[48]*y[:,0] - k[54]*y[:,8] - k[574]*y[:,13] - 4*k[578]*y[:,10]*y[:,9] - k[580]*y[:,17] - 4*k[584]*y[:,4]*y[:,9] - k[586]*y[:,20]*y[:,6] - k[58]*y[:,8] - k[590]*y[:,4] - 4*k[594]*y[:,9] - k[596]*y[:,35] - 4*k[604]*y[:,34]*y[:,9] - k[606]*y[:,48] - 4*k[610]*y[:,33]*y[:,9] - k[618]*y[:,10] - k[620]*y[:,2] - k[624]*y[:,7] - k[634]*y[:,49] - k[646]*y[:,24] - 4*k[648]*y[:,22]*y[:,9] - k[650]*y[:,14] - k[656]*y[:,8] - k[658]*y[:,6] - k[660]*y[:,29] - k[71]*y[:,7] + k[73]*y[:,7] - 2*k[74]*y[:,2]*y[:,9] - k[76]*y[:,2] - k[78]*y[:,0] - k[7]*y[:,8] - k[84]*y[:,25] - k[86]*y[:,5] - k[88]*y[:,26] - k[90]*y[:,8] - k[96]*y[:,27] - k[98]*y[:,27])
    dfdy[indx[9], indx[10]] = -(-M*k[489]*y[:,9] + k[125]*y[:,21] + k[133]*y[:,22] + k[139]*y[:,17] + 2*k[141]*y[:,19] + k[145]*y[:,4] + k[147]*y[:,6] + k[151]*y[:,20] + k[308]*y[:,15] + k[317]*y[:,37] + k[381]*y[:,40] + k[405]*y[:,24] + k[43]*y[:,7] - 2*k[578]*y[:,9]**2 - k[618]*y[:,9] + k[8]*y[:,11] + k[95]*y[:,13])
    dfdy[indx[9], indx[11]] = -(M*k[520] + k[192]*y[:,20] - k[194]*y[:,9] + k[195]*y[:,14] + k[199]*y[:,4] - k[218]*y[:,9] - k[234]*y[:,9] - k[240]*y[:,9] - k[250]*y[:,9] - k[254]*y[:,9] - k[378]*y[:,34]*y[:,9] - k[396]*y[:,33]*y[:,9] + k[403]*y[:,35] + k[649] + k[87]*y[:,13] + k[8]*y[:,10])
    dfdy[indx[9], indx[12]] = -(0)
    dfdy[indx[9], indx[13]] = -(-M*k[477]*y[:,9] + M*k[490] + M*k[506] + k[103]*y[:,23] + k[105]*y[:,1] + k[111]*y[:,19] + k[115]*y[:,4] + k[117]*y[:,6] + 2*k[121]*y[:,6] + k[123]*y[:,20] + k[13]*y[:,5] - k[152]*y[:,9] - k[174]*y[:,9] + 2*k[310]*y[:,13] + k[371]*y[:,33] - k[382]*y[:,33]*y[:,9] + k[385]*y[:,40] - k[398]*y[:,33]*y[:,9] + k[449]*y[:,45] - k[574]*y[:,9] + k[617] + k[77]*y[:,2] + k[87]*y[:,11] + k[89]*y[:,14] + k[95]*y[:,10] + k[97]*y[:,16] + k[99]*y[:,22])
    dfdy[indx[9], indx[14]] = -(-M*k[519]*y[:,9] + k[195]*y[:,11] + k[217]*y[:,20] - 2*k[242]*y[:,9]**2 - k[244]*y[:,9] - 2*k[252]*y[:,9]**2 - k[256]*y[:,9] + k[361]*y[:,34] + k[375]*y[:,33] + k[377]*y[:,33] + k[395]*y[:,40] + k[453]*y[:,41] - k[650]*y[:,9] + k[89]*y[:,13])
    dfdy[indx[9], indx[15]] = -(M*k[478] - k[124]*y[:,9] - k[14]*y[:,2]*y[:,9] + k[308]*y[:,10] - k[372]*y[:,34]*y[:,9] - k[386]*y[:,33]*y[:,9] - k[450]*y[:,5]*y[:,9] + k[573] + 2*k[577] + k[83]*y[:,1] + k[85]*y[:,6])
    dfdy[indx[9], indx[16]] = -(-M*k[505]*y[:,9] + k[155]*y[:,21] + k[163]*y[:,17] + k[165]*y[:,19] + 2*k[167]*y[:,4] + k[171]*y[:,6] + k[173]*y[:,20] + k[397]*y[:,40] + k[47]*y[:,7] + k[97]*y[:,13])
    dfdy[indx[9], indx[17]] = -(-M*k[539]*y[:,9] + M*k[544] + M*k[550] + k[139]*y[:,10] + k[163]*y[:,16] + k[237]*y[:,23] + k[247]*y[:,1] + k[264]*y[:,20] + k[267]*y[:,19] + k[269]*y[:,4] + 2*k[273]*y[:,6] - k[275]*y[:,9] - k[292]*y[:,9] + k[373]*y[:,33] - k[380]*y[:,33]*y[:,9] + k[391]*y[:,40] + k[444]*y[:,20]*y[:,2] - k[580]*y[:,9] + k[589])
    dfdy[indx[9], indx[18]] = -(M*k[540] + k[261]*y[:,6] - k[263]*y[:,9] - k[374]*y[:,34]*y[:,9] - k[392]*y[:,33]*y[:,9] + k[446]*y[:,7] + k[579] + 2*k[583] + k[585])
    dfdy[indx[9], indx[19]] = -(-M*k[543]*y[:,9] + M*k[556] + k[111]*y[:,13] + 2*k[141]*y[:,10] + k[165]*y[:,16] + k[229]*y[:,22] + k[239]*y[:,23] + k[249]*y[:,1] + 2*k[251]*y[:,1] + k[267]*y[:,17] + k[276]*y[:,20] + 2*k[279]*y[:,4] + k[281]*y[:,6] + 2*k[283]*y[:,6] - k[285]*y[:,9] + k[316]*y[:,2] + k[379]*y[:,40] + k[657])
    dfdy[indx[9], indx[20]] = -(2*M*k[560] + k[123]*y[:,13] + k[151]*y[:,10] + k[173]*y[:,16] + k[192]*y[:,11] + k[217]*y[:,14] + k[236]*y[:,23] + k[257]*y[:,1] + k[264]*y[:,17] + k[276]*y[:,19] + k[286]*y[:,6] + k[291]*y[:,4] + k[294]*y[:,6] + k[300]*y[:,29] + k[312]*y[:,27] + k[32]*y[:,7] + k[351]*y[:,35] + k[419]*y[:,24] + k[428]*y[:,3] + k[444]*y[:,17]*y[:,2] - k[586]*y[:,6]*y[:,9] + 2*k[593] + k[72]*y[:,2])
    dfdy[indx[9], indx[21]] = -(k[125]*y[:,10] + k[155]*y[:,16] + k[185]*y[:,6] - k[191]*y[:,9] + k[193] - k[230]*y[:,9] - k[232]*y[:,9] - k[238]*y[:,9] - k[248]*y[:,9])
    dfdy[indx[9], indx[22]] = -(M*k[526] + M*k[534] + k[133]*y[:,10] + 4*k[219]*y[:,22] + k[223]*y[:,23] + k[225]*y[:,1] + k[229]*y[:,19] + k[231]*y[:,4] + k[233]*y[:,6] - k[235]*y[:,9] - k[258]*y[:,9] + k[342]*y[:,2] - 2*k[648]*y[:,9]**2 + k[99]*y[:,13])
    dfdy[indx[9], indx[23]] = -(-M*k[525]*y[:,9] + k[103]*y[:,13] + k[223]*y[:,22] + k[236]*y[:,20] + k[237]*y[:,17] + k[239]*y[:,19] + 2*k[241]*y[:,4] + k[243]*y[:,6] + k[53]*y[:,7])
    dfdy[indx[9], indx[24]] = -(k[405]*y[:,10] + k[419]*y[:,20] + k[421]*y[:,40] - k[646]*y[:,9])
    dfdy[indx[9], indx[25]] = -(-k[100]*y[:,9] - k[406]*y[:,9] - k[427]*y[:,9] - k[84]*y[:,9])
    dfdy[indx[9], indx[26]] = -(-k[88]*y[:,9])
    dfdy[indx[9], indx[27]] = -(-M*k[569]*y[:,9] + k[312]*y[:,20] - k[96]*y[:,9] - k[98]*y[:,9])
    dfdy[indx[9], indx[28]] = -(-k[126]*y[:,9] - k[156]*y[:,9])
    dfdy[indx[9], indx[29]] = -(k[300]*y[:,20] - k[660]*y[:,9])
    dfdy[indx[9], indx[30]] = -(-2*k[220]*y[:,9]**2 - k[224]*y[:,9] - k[226]*y[:,9])
    dfdy[indx[9], indx[31]] = -(-k[186]*y[:,9] - k[200]*y[:,9])
    dfdy[indx[9], indx[32]] = -(-k[196]*y[:,9])
    dfdy[indx[9], indx[33]] = -(-k[262]*y[:,9] - k[268]*y[:,9] - k[270]*y[:,9] + k[371]*y[:,13] + k[373]*y[:,17] + k[375]*y[:,14] + k[377]*y[:,14] - k[380]*y[:,17]*y[:,9] - k[382]*y[:,13]*y[:,9] - k[386]*y[:,15]*y[:,9] - k[392]*y[:,18]*y[:,9] - k[394]*y[:,34]*y[:,9] - k[396]*y[:,11]*y[:,9] - k[398]*y[:,13]*y[:,9] - k[422]*y[:,43]*y[:,9] + k[451]*y[:,1] + 2*k[603] + k[605] - 2*k[610]*y[:,9]**2)
    dfdy[indx[9], indx[34]] = -(M*k[566] - 2*k[274]*y[:,9]**2 - 2*k[280]*y[:,9]**2 - k[282]*y[:,9] - k[290]*y[:,9] - k[352]*y[:,9] + k[361]*y[:,14] - k[372]*y[:,15]*y[:,9] - k[374]*y[:,18]*y[:,9] - k[378]*y[:,11]*y[:,9] - k[394]*y[:,33]*y[:,9] - k[454]*y[:,46]*y[:,9] + k[595] - 2*k[604]*y[:,9]**2)
    dfdy[indx[9], indx[35]] = -(-M*k[565]*y[:,9] - 2*k[284]*y[:,9]**2 - k[298]*y[:,9] + k[351]*y[:,20] + k[393]*y[:,40] + k[403]*y[:,11] - k[596]*y[:,9])
    dfdy[indx[9], indx[36]] = -(M*k[570] - k[307]*y[:,9] - k[309]*y[:,9] - k[311]*y[:,9])
    dfdy[indx[9], indx[37]] = -(-k[315]*y[:,9] + k[317]*y[:,10])
    dfdy[indx[9], indx[38]] = -(-k[362]*y[:,9] - k[404]*y[:,9])
    dfdy[indx[9], indx[39]] = -(-k[376]*y[:,9])
    dfdy[indx[9], indx[40]] = -(k[379]*y[:,19] + k[381]*y[:,10] + k[385]*y[:,13] + k[389]*y[:,6] + k[391]*y[:,17] + k[393]*y[:,35] + k[395]*y[:,14] + k[397]*y[:,16] + k[421]*y[:,24] + 2*k[609])
    dfdy[indx[9], indx[41]] = -(-k[390]*y[:,9] + k[453]*y[:,14])
    dfdy[indx[9], indx[42]] = -(0)
    dfdy[indx[9], indx[43]] = -(-k[420]*y[:,9] - k[422]*y[:,33]*y[:,9] + k[645] + 2*k[647])
    dfdy[indx[9], indx[44]] = -(-k[443]*y[:,9] - k[445]*y[:,9])
    dfdy[indx[9], indx[45]] = -(k[449]*y[:,13] + k[633])
    dfdy[indx[9], indx[46]] = -(-k[452]*y[:,9] - k[454]*y[:,34]*y[:,9])
    dfdy[indx[9], indx[47]] = -(0)
    dfdy[indx[9], indx[48]] = -(-k[606]*y[:,9])
    dfdy[indx[9], indx[49]] = -(-k[634]*y[:,9])
    dfdy[indx[9], indx[50]] = -(k[655])
    dfdy[indx[9], indx[51]] = -(0)
    dfdy[indx[9], indx[52]] = -(0)
    dfdy[indx[10], indx[0]] = -(k[44]*y[:,9] + k[597])
    dfdy[indx[10], indx[1]] = -(k[132]*y[:,2] + k[347]*y[:,3])
    dfdy[indx[10], indx[2]] = -(k[130]*y[:,23] + k[132]*y[:,1] + k[142]*y[:,9]**2 + k[144]*y[:,20] + k[148]*y[:,9] - k[302]*y[:,10] + 2*k[318]*y[:,2]*y[:,9] + k[324]*y[:,6] + k[340]*y[:,3] + k[360]*y[:,19] + k[46]*y[:,13] + k[591] - k[598]*y[:,10])
    dfdy[indx[10], indx[3]] = -(M*k[484] + k[134]*y[:,9] + k[303]*y[:,29] + k[340]*y[:,2] + k[345]*y[:,23] + k[347]*y[:,1] - k[350]*y[:,10] + k[410]*y[:,20] + k[426]*y[:,13] + k[651])
    dfdy[indx[10], indx[4]] = -(-k[145]*y[:,10])
    dfdy[indx[10], indx[5]] = -(M*k[486] + k[140]*y[:,9] - k[17]*y[:,10] + k[368]*y[:,19])
    dfdy[indx[10], indx[6]] = -(-M*k[487]*y[:,10] - k[147]*y[:,10] - k[149]*y[:,10] + k[324]*y[:,2])
    dfdy[indx[10], indx[7]] = -(M*k[488] + k[146]*y[:,9] + k[18]*y[:,13] + k[366]*y[:,17] - k[43]*y[:,10] - k[45]*y[:,10])
    dfdy[indx[10], indx[8]] = -(M*k[480] - k[338]*y[:,10] - k[339]*y[:,10] + k[7]*y[:,9])
    dfdy[indx[10], indx[9]] = -(-M*k[489]*y[:,10] + k[126]*y[:,28] + k[134]*y[:,3] + k[140]*y[:,5] + 2*k[142]*y[:,2]*y[:,9] + k[146]*y[:,7] + k[148]*y[:,2] + k[152]*y[:,13] + k[307]*y[:,36] + k[318]*y[:,2]**2 + k[382]*y[:,13]*y[:,33] + k[406]*y[:,25] + k[44]*y[:,0] - 2*k[578]*y[:,10]*y[:,9] - k[618]*y[:,10] + k[7]*y[:,8] + k[96]*y[:,27])
    dfdy[indx[10], indx[10]] = -(-M*k[471]*y[:,13] - M*k[479]*y[:,14] - 4*M*k[481]*y[:,10] - M*k[483]*y[:,23] - M*k[485]*y[:,19] - M*k[487]*y[:,6] - M*k[489]*y[:,9] - M*k[508] - k[125]*y[:,21] - k[127]*y[:,21] - k[129]*y[:,14] - k[131]*y[:,14] - k[133]*y[:,22] - k[135]*y[:,22] - k[137]*y[:,18] - k[139]*y[:,17] - k[141]*y[:,19] - k[143]*y[:,19] - k[145]*y[:,4] - k[147]*y[:,6] - k[149]*y[:,6] - k[151]*y[:,20] - k[154]*y[:,21] - k[17]*y[:,5] - k[302]*y[:,2] - k[304]*y[:,14] - k[305]*y[:,36] - k[308]*y[:,15] - k[317]*y[:,37] - k[323]*y[:,35] - k[334]*y[:,37] - k[338]*y[:,8] - k[339]*y[:,8] - k[346]*y[:,30] - k[348]*y[:,30] - k[350]*y[:,3] - k[354]*y[:,34] - k[359]*y[:,34] - k[365]*y[:,33] - k[367]*y[:,33] - k[381]*y[:,40] - k[400]*y[:,40] - k[405]*y[:,24] - k[407]*y[:,24] - k[409]*y[:,24] - k[425]*y[:,25] - k[435]*y[:,43] - k[43]*y[:,7] - k[45]*y[:,7] - k[578]*y[:,9]**2 - k[592]*y[:,29] - k[598]*y[:,2] - k[618]*y[:,9] - 4*k[626]*y[:,10] - k[628]*y[:,16] - k[640]*y[:,13] - k[652]*y[:,23] - k[8]*y[:,11] - k[92]*y[:,11] - k[94]*y[:,15] - k[95]*y[:,13])
    dfdy[indx[10], indx[11]] = -(k[128]*y[:,13] - k[8]*y[:,10] - k[92]*y[:,10])
    dfdy[indx[10], indx[12]] = -(0)
    dfdy[indx[10], indx[13]] = -(-M*k[471]*y[:,10] + M*k[490] + k[128]*y[:,11] + k[136]*y[:,23] + k[138]*y[:,17] + k[150]*y[:,29] + k[152]*y[:,9] + k[18]*y[:,7] + k[306]*y[:,27] + k[353]*y[:,35] + k[382]*y[:,33]*y[:,9] + k[408]*y[:,22] + k[426]*y[:,3] + k[436]*y[:,24] + k[46]*y[:,2] + k[617] - k[640]*y[:,10] + k[91]*y[:,14] + 2*k[93]*y[:,13] - k[95]*y[:,10])
    dfdy[indx[10], indx[14]] = -(-M*k[479]*y[:,10] - k[129]*y[:,10] - k[131]*y[:,10] - k[304]*y[:,10] + k[337]*y[:,27] + k[91]*y[:,13])
    dfdy[indx[10], indx[15]] = -(-k[308]*y[:,10] + k[577] - k[94]*y[:,10])
    dfdy[indx[10], indx[16]] = -(M*k[507] + k[153]*y[:,21] + k[399]*y[:,40] - k[628]*y[:,10])
    dfdy[indx[10], indx[17]] = -(k[138]*y[:,13] - k[139]*y[:,10] + k[366]*y[:,7])
    dfdy[indx[10], indx[18]] = -(-k[137]*y[:,10])
    dfdy[indx[10], indx[19]] = -(-M*k[485]*y[:,10] - k[141]*y[:,10] - k[143]*y[:,10] + k[360]*y[:,2] + k[368]*y[:,5])
    dfdy[indx[10], indx[20]] = -(k[144]*y[:,2] - k[151]*y[:,10] + k[410]*y[:,3])
    dfdy[indx[10], indx[21]] = -(-k[125]*y[:,10] - k[127]*y[:,10] + k[153]*y[:,16] - k[154]*y[:,10])
    dfdy[indx[10], indx[22]] = -(-k[133]*y[:,10] - k[135]*y[:,10] + k[408]*y[:,13])
    dfdy[indx[10], indx[23]] = -(-M*k[483]*y[:,10] + k[130]*y[:,2] + k[136]*y[:,13] + k[345]*y[:,3] + k[349]*y[:,27] - k[652]*y[:,10])
    dfdy[indx[10], indx[24]] = -(-k[405]*y[:,10] - k[407]*y[:,10] - k[409]*y[:,10] + k[436]*y[:,13])
    dfdy[indx[10], indx[25]] = -(k[406]*y[:,9] - k[425]*y[:,10])
    dfdy[indx[10], indx[26]] = -(0)
    dfdy[indx[10], indx[27]] = -(2*M*k[482] + k[301]*y[:,29] + k[306]*y[:,13] + k[333]*y[:,35] + k[337]*y[:,14] + k[349]*y[:,23] + 2*k[625] + k[627] + k[96]*y[:,9])
    dfdy[indx[10], indx[28]] = -(k[126]*y[:,9])
    dfdy[indx[10], indx[29]] = -(k[150]*y[:,13] + k[301]*y[:,27] + k[303]*y[:,3] - k[592]*y[:,10])
    dfdy[indx[10], indx[30]] = -(-k[346]*y[:,10] - k[348]*y[:,10])
    dfdy[indx[10], indx[31]] = -(0)
    dfdy[indx[10], indx[32]] = -(0)
    dfdy[indx[10], indx[33]] = -(-k[365]*y[:,10] - k[367]*y[:,10] + k[382]*y[:,13]*y[:,9])
    dfdy[indx[10], indx[34]] = -(-k[354]*y[:,10] - k[359]*y[:,10])
    dfdy[indx[10], indx[35]] = -(-k[323]*y[:,10] + k[333]*y[:,27] + k[353]*y[:,13])
    dfdy[indx[10], indx[36]] = -(M*k[472] - k[305]*y[:,10] + k[307]*y[:,9] + k[639])
    dfdy[indx[10], indx[37]] = -(-k[317]*y[:,10] - k[334]*y[:,10])
    dfdy[indx[10], indx[38]] = -(0)
    dfdy[indx[10], indx[39]] = -(0)
    dfdy[indx[10], indx[40]] = -(-k[381]*y[:,10] + k[399]*y[:,16] - k[400]*y[:,10])
    dfdy[indx[10], indx[41]] = -(0)
    dfdy[indx[10], indx[42]] = -(0)
    dfdy[indx[10], indx[43]] = -(-k[435]*y[:,10])
    dfdy[indx[10], indx[44]] = -(0)
    dfdy[indx[10], indx[45]] = -(0)
    dfdy[indx[10], indx[46]] = -(0)
    dfdy[indx[10], indx[47]] = -(0)
    dfdy[indx[10], indx[48]] = -(0)
    dfdy[indx[10], indx[49]] = -(0)
    dfdy[indx[10], indx[50]] = -(0)
    dfdy[indx[10], indx[51]] = -(0)
    dfdy[indx[10], indx[52]] = -(0)
    dfdy[indx[11], indx[0]] = -(-k[320]*y[:,11])
    dfdy[indx[11], indx[1]] = -(-k[197]*y[:,11] + k[249]*y[:,19] + k[253]*y[:,4])
    dfdy[indx[11], indx[2]] = -(-k[40]*y[:,11])
    dfdy[indx[11], indx[3]] = -(k[319]*y[:,37] - k[434]*y[:,11])
    dfdy[indx[11], indx[4]] = -(-k[190]*y[:,11] - k[199]*y[:,11] + k[253]*y[:,1])
    dfdy[indx[11], indx[5]] = -(k[11]*y[:,14] - k[34]*y[:,11])
    dfdy[indx[11], indx[6]] = -(-M*k[509]*y[:,11] + k[187]*y[:,21] + k[189]*y[:,21] + k[198]*y[:,30] + k[215]*y[:,14] + k[233]*y[:,22])
    dfdy[indx[11], indx[7]] = -(-k[12]*y[:,11] + k[33]*y[:,21] + k[39]*y[:,14] - k[442]*y[:,11]*y[:,20])
    dfdy[indx[11], indx[8]] = -(k[7]*y[:,9])
    dfdy[indx[11], indx[9]] = -(M*k[519]*y[:,14] + k[191]*y[:,21] - k[194]*y[:,11] + k[196]*y[:,32] + k[200]*y[:,31] - k[218]*y[:,11] - k[234]*y[:,11] - k[240]*y[:,11] - k[250]*y[:,11] - k[254]*y[:,11] - k[378]*y[:,11]*y[:,34] - k[396]*y[:,11]*y[:,33] + k[404]*y[:,38] + k[650]*y[:,14] + k[7]*y[:,8] + k[88]*y[:,26])
    dfdy[indx[11], indx[10]] = -(k[127]*y[:,21] - k[8]*y[:,11] - k[92]*y[:,11])
    dfdy[indx[11], indx[11]] = -(-M*k[491]*y[:,16] - M*k[509]*y[:,6] - M*k[520] - k[128]*y[:,13] - k[12]*y[:,7] - k[158]*y[:,13] - k[176]*y[:,24] - k[180]*y[:,22] - k[188]*y[:,19] - k[190]*y[:,4] - k[192]*y[:,20] - k[194]*y[:,9] - k[195]*y[:,14] - k[197]*y[:,1] - k[199]*y[:,4] - k[204]*y[:,23] - k[212]*y[:,17] - k[214]*y[:,19] - k[216]*y[:,29] - k[218]*y[:,9] - k[234]*y[:,9] - k[240]*y[:,9] - k[250]*y[:,9] - k[254]*y[:,9] - k[320]*y[:,0] - k[34]*y[:,5] - k[364]*y[:,35] - k[370]*y[:,17] - k[378]*y[:,34]*y[:,9] - k[396]*y[:,33]*y[:,9] - k[403]*y[:,35] - k[40]*y[:,2] - k[434]*y[:,3] - k[440]*y[:,24] - k[442]*y[:,20]*y[:,7] - k[649] - k[663] - k[82]*y[:,13] - k[87]*y[:,13] - k[8]*y[:,10] - k[92]*y[:,10])
    dfdy[indx[11], indx[12]] = -(0)
    dfdy[indx[11], indx[13]] = -(-k[128]*y[:,11] - k[158]*y[:,11] - k[82]*y[:,11] - k[87]*y[:,11] + k[91]*y[:,14])
    dfdy[indx[11], indx[14]] = -(M*k[519]*y[:,9] + k[11]*y[:,5] - k[195]*y[:,11] + k[203]*y[:,22] + k[211]*y[:,18] + k[213]*y[:,17] + k[215]*y[:,6] + k[217]*y[:,20] + k[363]*y[:,34] + k[377]*y[:,33] + k[395]*y[:,40] + k[39]*y[:,7] + k[433]*y[:,25] + k[439]*y[:,43] + k[650]*y[:,9] + k[81]*y[:,15] + k[91]*y[:,13])
    dfdy[indx[11], indx[15]] = -(k[81]*y[:,14])
    dfdy[indx[11], indx[16]] = -(-M*k[491]*y[:,11] + k[157]*y[:,21])
    dfdy[indx[11], indx[17]] = -(-k[212]*y[:,11] + k[213]*y[:,14] - k[370]*y[:,11])
    dfdy[indx[11], indx[18]] = -(k[211]*y[:,14])
    dfdy[indx[11], indx[19]] = -(-k[188]*y[:,11] - k[214]*y[:,11] + k[239]*y[:,23] + k[249]*y[:,1])
    dfdy[indx[11], indx[20]] = -(-k[192]*y[:,11] + k[217]*y[:,14] - k[442]*y[:,11]*y[:,7])
    dfdy[indx[11], indx[21]] = -(k[127]*y[:,10] + k[157]*y[:,16] + k[175]*y[:,22] + k[179]*y[:,23] + k[187]*y[:,6] + k[189]*y[:,6] + k[191]*y[:,9] + k[193] + k[33]*y[:,7])
    dfdy[indx[11], indx[22]] = -(k[175]*y[:,21] - k[180]*y[:,11] + k[203]*y[:,14] + k[233]*y[:,6])
    dfdy[indx[11], indx[23]] = -(k[179]*y[:,21] - k[204]*y[:,11] + k[239]*y[:,19] + k[369]*y[:,33] + k[441]*y[:,44])
    dfdy[indx[11], indx[24]] = -(-k[176]*y[:,11] - k[440]*y[:,11])
    dfdy[indx[11], indx[25]] = -(k[433]*y[:,14])
    dfdy[indx[11], indx[26]] = -(k[88]*y[:,9])
    dfdy[indx[11], indx[27]] = -(0)
    dfdy[indx[11], indx[28]] = -(M*k[492])
    dfdy[indx[11], indx[29]] = -(-k[216]*y[:,11])
    dfdy[indx[11], indx[30]] = -(k[198]*y[:,6])
    dfdy[indx[11], indx[31]] = -(M*k[510] + k[200]*y[:,9])
    dfdy[indx[11], indx[32]] = -(k[196]*y[:,9])
    dfdy[indx[11], indx[33]] = -(k[369]*y[:,23] + k[377]*y[:,14] - k[396]*y[:,11]*y[:,9])
    dfdy[indx[11], indx[34]] = -(k[363]*y[:,14] - k[378]*y[:,11]*y[:,9])
    dfdy[indx[11], indx[35]] = -(-k[364]*y[:,11] - k[403]*y[:,11])
    dfdy[indx[11], indx[36]] = -(0)
    dfdy[indx[11], indx[37]] = -(k[319]*y[:,3])
    dfdy[indx[11], indx[38]] = -(k[404]*y[:,9])
    dfdy[indx[11], indx[39]] = -(0)
    dfdy[indx[11], indx[40]] = -(k[395]*y[:,14])
    dfdy[indx[11], indx[41]] = -(0)
    dfdy[indx[11], indx[42]] = -(0)
    dfdy[indx[11], indx[43]] = -(k[439]*y[:,14])
    dfdy[indx[11], indx[44]] = -(k[441]*y[:,23])
    dfdy[indx[11], indx[45]] = -(0)
    dfdy[indx[11], indx[46]] = -(0)
    dfdy[indx[11], indx[47]] = -(0)
    dfdy[indx[11], indx[48]] = -(0)
    dfdy[indx[11], indx[49]] = -(0)
    dfdy[indx[11], indx[50]] = -(0)
    dfdy[indx[11], indx[51]] = -(0)
    dfdy[indx[11], indx[52]] = -(k[664])
    dfdy[indx[12], indx[0]] = -(0)
    dfdy[indx[12], indx[1]] = -(0)
    dfdy[indx[12], indx[2]] = -(0)
    dfdy[indx[12], indx[3]] = -(0)
    dfdy[indx[12], indx[4]] = -(0)
    dfdy[indx[12], indx[5]] = -(0)
    dfdy[indx[12], indx[6]] = -(0)
    dfdy[indx[12], indx[7]] = -(0)
    dfdy[indx[12], indx[8]] = -(0)
    dfdy[indx[12], indx[9]] = -(0)
    dfdy[indx[12], indx[10]] = -(0)
    dfdy[indx[12], indx[11]] = -(0)
    dfdy[indx[12], indx[12]] = -(-M*k[470] - k[641] - k[9])
    dfdy[indx[12], indx[13]] = -(2*M*k[469]*y[:,13] + 2*k[10]*y[:,13] + 2*k[642]*y[:,13])
    dfdy[indx[12], indx[14]] = -(0)
    dfdy[indx[12], indx[15]] = -(0)
    dfdy[indx[12], indx[16]] = -(0)
    dfdy[indx[12], indx[17]] = -(0)
    dfdy[indx[12], indx[18]] = -(0)
    dfdy[indx[12], indx[19]] = -(0)
    dfdy[indx[12], indx[20]] = -(0)
    dfdy[indx[12], indx[21]] = -(0)
    dfdy[indx[12], indx[22]] = -(0)
    dfdy[indx[12], indx[23]] = -(0)
    dfdy[indx[12], indx[24]] = -(0)
    dfdy[indx[12], indx[25]] = -(0)
    dfdy[indx[12], indx[26]] = -(0)
    dfdy[indx[12], indx[27]] = -(0)
    dfdy[indx[12], indx[28]] = -(0)
    dfdy[indx[12], indx[29]] = -(0)
    dfdy[indx[12], indx[30]] = -(0)
    dfdy[indx[12], indx[31]] = -(0)
    dfdy[indx[12], indx[32]] = -(0)
    dfdy[indx[12], indx[33]] = -(0)
    dfdy[indx[12], indx[34]] = -(0)
    dfdy[indx[12], indx[35]] = -(0)
    dfdy[indx[12], indx[36]] = -(0)
    dfdy[indx[12], indx[37]] = -(0)
    dfdy[indx[12], indx[38]] = -(0)
    dfdy[indx[12], indx[39]] = -(0)
    dfdy[indx[12], indx[40]] = -(0)
    dfdy[indx[12], indx[41]] = -(0)
    dfdy[indx[12], indx[42]] = -(0)
    dfdy[indx[12], indx[43]] = -(0)
    dfdy[indx[12], indx[44]] = -(0)
    dfdy[indx[12], indx[45]] = -(0)
    dfdy[indx[12], indx[46]] = -(0)
    dfdy[indx[12], indx[47]] = -(0)
    dfdy[indx[12], indx[48]] = -(0)
    dfdy[indx[12], indx[49]] = -(0)
    dfdy[indx[12], indx[50]] = -(0)
    dfdy[indx[12], indx[51]] = -(0)
    dfdy[indx[12], indx[52]] = -(0)
    dfdy[indx[13], indx[0]] = -(k[78]*y[:,9])
    dfdy[indx[13], indx[1]] = -(-k[105]*y[:,13])
    dfdy[indx[13], indx[2]] = -(k[120]*y[:,20] + k[122]*y[:,9]**2 + k[14]*y[:,15]*y[:,9] - k[330]*y[:,13] + k[356]*y[:,19] + k[42]*y[:,15] - k[46]*y[:,13] - k[77]*y[:,13])
    dfdy[indx[13], indx[3]] = -(k[104]*y[:,9] + k[106]*y[:,9] - k[426]*y[:,13] + k[430]*y[:,15])
    dfdy[indx[13], indx[4]] = -(-k[115]*y[:,13])
    dfdy[indx[13], indx[5]] = -(k[112]*y[:,9] + k[116]*y[:,9] - k[13]*y[:,13] - k[15]*y[:,13] + k[17]*y[:,10] + k[19]*y[:,16] + k[450]*y[:,15]*y[:,9])
    dfdy[indx[13], indx[6]] = -(k[114]*y[:,15] - k[117]*y[:,13] - k[119]*y[:,13] - k[121]*y[:,13] + k[149]*y[:,10] + k[329]*y[:,27])
    dfdy[indx[13], indx[7]] = -(k[118]*y[:,9] + k[16]*y[:,15] - k[18]*y[:,13] - k[20]*y[:,13] - k[41]*y[:,13] + k[45]*y[:,10])
    dfdy[indx[13], indx[8]] = -(k[90]*y[:,9])
    dfdy[indx[13], indx[9]] = -(-M*k[477]*y[:,13] + M*k[489]*y[:,10] + M*k[505]*y[:,16] + k[100]*y[:,25] + k[104]*y[:,3] + k[106]*y[:,3] + k[112]*y[:,5] + k[116]*y[:,5] + k[118]*y[:,7] + 2*k[122]*y[:,2]*y[:,9] + k[124]*y[:,15] + k[14]*y[:,15]*y[:,2] - k[152]*y[:,13] - k[174]*y[:,13] + 2*k[309]*y[:,36] + k[372]*y[:,15]*y[:,34] - k[382]*y[:,13]*y[:,33] + k[386]*y[:,15]*y[:,33] - k[398]*y[:,13]*y[:,33] + k[450]*y[:,15]*y[:,5] - k[574]*y[:,13] + k[618]*y[:,10] + k[78]*y[:,0] + k[88]*y[:,26] + k[90]*y[:,8] + k[96]*y[:,27] + k[98]*y[:,27])
    dfdy[indx[13], indx[10]] = -(-M*k[471]*y[:,13] + M*k[489]*y[:,9] + k[127]*y[:,21] + k[135]*y[:,22] + k[137]*y[:,18] + k[149]*y[:,6] + k[151]*y[:,20] + k[17]*y[:,5] + k[305]*y[:,36] + k[354]*y[:,34] + k[381]*y[:,40] + k[407]*y[:,24] + k[425]*y[:,25] + k[435]*y[:,43] + k[45]*y[:,7] + k[618]*y[:,9] - k[640]*y[:,13] + k[92]*y[:,11] + 2*k[94]*y[:,15] - k[95]*y[:,13])
    dfdy[indx[13], indx[11]] = -(-k[128]*y[:,13] - k[158]*y[:,13] - k[82]*y[:,13] - k[87]*y[:,13] + k[92]*y[:,10])
    dfdy[indx[13], indx[12]] = -(2*M*k[470] + 2*k[641] + 2*k[9])
    dfdy[indx[13], indx[13]] = -(-M*k[467]*y[:,14] - 4*M*k[469]*y[:,13] - M*k[471]*y[:,10] - M*k[473]*y[:,16] - M*k[475]*y[:,17] - M*k[477]*y[:,9] - M*k[490] - M*k[506] - k[101]*y[:,22] - k[103]*y[:,23] - k[105]*y[:,1] - k[107]*y[:,18] - k[109]*y[:,17] - 4*k[10]*y[:,13] - k[111]*y[:,19] - k[113]*y[:,19] - k[115]*y[:,4] - k[117]*y[:,6] - k[119]*y[:,6] - k[121]*y[:,6] - k[123]*y[:,20] - k[128]*y[:,11] - k[136]*y[:,23] - k[138]*y[:,17] - k[13]*y[:,5] - k[150]*y[:,29] - k[152]*y[:,9] - k[158]*y[:,11] - k[15]*y[:,5] - k[162]*y[:,17] - k[174]*y[:,9] - k[18]*y[:,7] - k[20]*y[:,7] - k[306]*y[:,27] - 4*k[310]*y[:,13] - k[313]*y[:,36] - k[330]*y[:,2] - k[353]*y[:,35] - k[355]*y[:,35] - k[358]*y[:,37] - k[371]*y[:,33] - k[382]*y[:,33]*y[:,9] - k[385]*y[:,40] - k[398]*y[:,33]*y[:,9] - k[408]*y[:,22] - k[413]*y[:,24] - k[41]*y[:,7] - k[426]*y[:,3] - k[429]*y[:,25] - k[436]*y[:,24] - k[437]*y[:,43] - k[449]*y[:,45] - k[46]*y[:,2] - k[574]*y[:,9] - k[617] - k[630]*y[:,17] - k[640]*y[:,10] - 4*k[642]*y[:,13] - k[77]*y[:,2] - 4*k[80]*y[:,13] - k[82]*y[:,11] - k[87]*y[:,11] - k[89]*y[:,14] - k[91]*y[:,14] - 4*k[93]*y[:,13] - k[95]*y[:,10] - k[97]*y[:,16] - k[99]*y[:,22])
    dfdy[indx[13], indx[14]] = -(-M*k[467]*y[:,13] + k[81]*y[:,15] - k[89]*y[:,13] - k[91]*y[:,13])
    dfdy[indx[13], indx[15]] = -(M*k[478] + k[102]*y[:,23] + k[108]*y[:,17] + k[110]*y[:,19] + k[114]*y[:,6] + k[124]*y[:,9] + k[14]*y[:,2]*y[:,9] + k[16]*y[:,7] + k[314]*y[:,27] + k[372]*y[:,34]*y[:,9] + k[386]*y[:,33]*y[:,9] + k[414]*y[:,22] + k[42]*y[:,2] + k[430]*y[:,3] + k[438]*y[:,24] + k[450]*y[:,5]*y[:,9] + k[573] + 2*k[79]*y[:,16] + k[81]*y[:,14] + 2*k[94]*y[:,10])
    dfdy[indx[13], indx[16]] = -(-M*k[473]*y[:,13] + M*k[505]*y[:,9] + k[157]*y[:,21] + k[161]*y[:,18] + k[173]*y[:,20] + k[19]*y[:,5] + k[397]*y[:,40] + 2*k[79]*y[:,15] - k[97]*y[:,13])
    dfdy[indx[13], indx[17]] = -(-M*k[475]*y[:,13] + k[108]*y[:,15] - k[109]*y[:,13] - k[138]*y[:,13] - k[162]*y[:,13] - k[630]*y[:,13])
    dfdy[indx[13], indx[18]] = -(-k[107]*y[:,13] + k[137]*y[:,10] + k[161]*y[:,16])
    dfdy[indx[13], indx[19]] = -(k[110]*y[:,15] - k[111]*y[:,13] - k[113]*y[:,13] + k[356]*y[:,2])
    dfdy[indx[13], indx[20]] = -(k[120]*y[:,2] - k[123]*y[:,13] + k[151]*y[:,10] + k[173]*y[:,16])
    dfdy[indx[13], indx[21]] = -(k[127]*y[:,10] + k[157]*y[:,16])
    dfdy[indx[13], indx[22]] = -(-k[101]*y[:,13] + k[135]*y[:,10] - k[408]*y[:,13] + k[414]*y[:,15] - k[99]*y[:,13])
    dfdy[indx[13], indx[23]] = -(k[102]*y[:,15] - k[103]*y[:,13] - k[136]*y[:,13])
    dfdy[indx[13], indx[24]] = -(k[407]*y[:,10] - k[413]*y[:,13] - k[436]*y[:,13] + k[438]*y[:,15])
    dfdy[indx[13], indx[25]] = -(k[100]*y[:,9] + k[425]*y[:,10] - k[429]*y[:,13])
    dfdy[indx[13], indx[26]] = -(M*k[468] + k[88]*y[:,9])
    dfdy[indx[13], indx[27]] = -(-k[306]*y[:,13] + k[314]*y[:,15] + k[329]*y[:,6] + k[96]*y[:,9] + k[98]*y[:,9])
    dfdy[indx[13], indx[28]] = -(0)
    dfdy[indx[13], indx[29]] = -(-k[150]*y[:,13])
    dfdy[indx[13], indx[30]] = -(0)
    dfdy[indx[13], indx[31]] = -(0)
    dfdy[indx[13], indx[32]] = -(0)
    dfdy[indx[13], indx[33]] = -(-k[371]*y[:,13] - k[382]*y[:,13]*y[:,9] + k[386]*y[:,15]*y[:,9] - k[398]*y[:,13]*y[:,9])
    dfdy[indx[13], indx[34]] = -(k[354]*y[:,10] + k[372]*y[:,15]*y[:,9])
    dfdy[indx[13], indx[35]] = -(-k[353]*y[:,13] - k[355]*y[:,13] + k[357]*y[:,36])
    dfdy[indx[13], indx[36]] = -(M*k[472] + M*k[474] + k[305]*y[:,10] + 2*k[309]*y[:,9] - k[313]*y[:,13] + k[357]*y[:,35] + k[639])
    dfdy[indx[13], indx[37]] = -(-k[358]*y[:,13])
    dfdy[indx[13], indx[38]] = -(0)
    dfdy[indx[13], indx[39]] = -(0)
    dfdy[indx[13], indx[40]] = -(k[381]*y[:,10] - k[385]*y[:,13] + k[397]*y[:,16])
    dfdy[indx[13], indx[41]] = -(0)
    dfdy[indx[13], indx[42]] = -(0)
    dfdy[indx[13], indx[43]] = -(k[435]*y[:,10] - k[437]*y[:,13])
    dfdy[indx[13], indx[44]] = -(0)
    dfdy[indx[13], indx[45]] = -(M*k[476] - k[449]*y[:,13] + k[629])
    dfdy[indx[13], indx[46]] = -(0)
    dfdy[indx[13], indx[47]] = -(0)
    dfdy[indx[13], indx[48]] = -(0)
    dfdy[indx[13], indx[49]] = -(0)
    dfdy[indx[13], indx[50]] = -(0)
    dfdy[indx[13], indx[51]] = -(0)
    dfdy[indx[13], indx[52]] = -(0)
    dfdy[indx[14], indx[0]] = -(0)
    dfdy[indx[14], indx[1]] = -(k[132]*y[:,2] + k[160]*y[:,2] - k[209]*y[:,14] + k[251]*y[:,19] + k[255]*y[:,6])
    dfdy[indx[14], indx[2]] = -(k[130]*y[:,23] + k[132]*y[:,1] + k[160]*y[:,1] + k[40]*y[:,11])
    dfdy[indx[14], indx[3]] = -(k[303]*y[:,29] + k[434]*y[:,11])
    dfdy[indx[14], indx[4]] = -(-M*k[517]*y[:,14] + k[241]*y[:,23])
    dfdy[indx[14], indx[5]] = -(-k[11]*y[:,14])
    dfdy[indx[14], indx[6]] = -(k[206]*y[:,30] - k[215]*y[:,14] + k[243]*y[:,23] + k[255]*y[:,1])
    dfdy[indx[14], indx[7]] = -(k[12]*y[:,11] - k[39]*y[:,14])
    dfdy[indx[14], indx[8]] = -(M*k[480] + M*k[494] + k[338]*y[:,10] + k[90]*y[:,9])
    dfdy[indx[14], indx[9]] = -(-M*k[519]*y[:,14] + k[196]*y[:,32] + k[218]*y[:,11] - 2*k[242]*y[:,14]*y[:,9] - k[244]*y[:,14] - 2*k[252]*y[:,14]*y[:,9] - k[256]*y[:,14] + k[362]*y[:,38] + k[376]*y[:,39] + k[378]*y[:,11]*y[:,34] + k[396]*y[:,11]*y[:,33] + k[454]*y[:,34]*y[:,46] - k[650]*y[:,14] + k[90]*y[:,8])
    dfdy[indx[14], indx[10]] = -(-M*k[479]*y[:,14] - k[129]*y[:,14] - k[131]*y[:,14] - k[304]*y[:,14] + k[338]*y[:,8] + k[92]*y[:,11])
    dfdy[indx[14], indx[11]] = -(M*k[520] + k[12]*y[:,7] - k[195]*y[:,14] + k[204]*y[:,23] + k[212]*y[:,17] + k[214]*y[:,19] + k[216]*y[:,29] + k[218]*y[:,9] + k[364]*y[:,35] + k[378]*y[:,34]*y[:,9] + k[396]*y[:,33]*y[:,9] + k[40]*y[:,2] + k[434]*y[:,3] + k[440]*y[:,24] + k[649] + k[82]*y[:,13] + k[92]*y[:,10])
    dfdy[indx[14], indx[12]] = -(0)
    dfdy[indx[14], indx[13]] = -(-M*k[467]*y[:,14] + k[82]*y[:,11] - k[89]*y[:,14] - k[91]*y[:,14])
    dfdy[indx[14], indx[14]] = -(-M*k[467]*y[:,13] - M*k[479]*y[:,10] - M*k[493]*y[:,16] - 4*M*k[511]*y[:,14] - M*k[513]*y[:,17] - M*k[515]*y[:,19] - M*k[517]*y[:,4] - M*k[519]*y[:,9] - k[11]*y[:,5] - k[129]*y[:,10] - k[131]*y[:,10] - k[159]*y[:,16] - k[195]*y[:,11] - k[203]*y[:,22] - k[205]*y[:,22] - k[207]*y[:,23] - k[209]*y[:,1] - k[211]*y[:,18] - k[213]*y[:,17] - k[215]*y[:,6] - k[217]*y[:,20] - k[242]*y[:,9]**2 - k[244]*y[:,9] - k[252]*y[:,9]**2 - k[256]*y[:,9] - k[304]*y[:,10] - k[337]*y[:,27] - k[361]*y[:,34] - k[363]*y[:,34] - k[375]*y[:,33] - k[377]*y[:,33] - k[395]*y[:,40] - k[39]*y[:,7] - k[433]*y[:,25] - k[439]*y[:,43] - k[453]*y[:,41] - k[650]*y[:,9] - k[81]*y[:,15] - k[89]*y[:,13] - k[91]*y[:,13])
    dfdy[indx[14], indx[15]] = -(-k[81]*y[:,14])
    dfdy[indx[14], indx[16]] = -(-M*k[493]*y[:,14] - k[159]*y[:,14])
    dfdy[indx[14], indx[17]] = -(-M*k[513]*y[:,14] + k[212]*y[:,11] - k[213]*y[:,14])
    dfdy[indx[14], indx[18]] = -(-k[211]*y[:,14])
    dfdy[indx[14], indx[19]] = -(-M*k[515]*y[:,14] + k[214]*y[:,11] + k[251]*y[:,1])
    dfdy[indx[14], indx[20]] = -(-k[217]*y[:,14])
    dfdy[indx[14], indx[21]] = -(0)
    dfdy[indx[14], indx[22]] = -(-k[203]*y[:,14] - k[205]*y[:,14])
    dfdy[indx[14], indx[23]] = -(k[130]*y[:,2] + k[204]*y[:,11] - k[207]*y[:,14] + k[241]*y[:,4] + k[243]*y[:,6])
    dfdy[indx[14], indx[24]] = -(k[440]*y[:,11])
    dfdy[indx[14], indx[25]] = -(-k[433]*y[:,14])
    dfdy[indx[14], indx[26]] = -(M*k[468])
    dfdy[indx[14], indx[27]] = -(-k[337]*y[:,14])
    dfdy[indx[14], indx[28]] = -(0)
    dfdy[indx[14], indx[29]] = -(k[208]*y[:,30] + k[210]*y[:,30] + k[216]*y[:,11] + k[303]*y[:,3])
    dfdy[indx[14], indx[30]] = -(k[206]*y[:,6] + k[208]*y[:,29] + k[210]*y[:,29])
    dfdy[indx[14], indx[31]] = -(M*k[516] + M*k[518])
    dfdy[indx[14], indx[32]] = -(2*M*k[512] + k[196]*y[:,9])
    dfdy[indx[14], indx[33]] = -(-k[375]*y[:,14] - k[377]*y[:,14] + k[396]*y[:,11]*y[:,9])
    dfdy[indx[14], indx[34]] = -(-k[361]*y[:,14] - k[363]*y[:,14] + k[378]*y[:,11]*y[:,9] + k[454]*y[:,46]*y[:,9])
    dfdy[indx[14], indx[35]] = -(k[364]*y[:,11])
    dfdy[indx[14], indx[36]] = -(0)
    dfdy[indx[14], indx[37]] = -(0)
    dfdy[indx[14], indx[38]] = -(k[362]*y[:,9])
    dfdy[indx[14], indx[39]] = -(k[376]*y[:,9])
    dfdy[indx[14], indx[40]] = -(-k[395]*y[:,14])
    dfdy[indx[14], indx[41]] = -(-k[453]*y[:,14])
    dfdy[indx[14], indx[42]] = -(0)
    dfdy[indx[14], indx[43]] = -(-k[439]*y[:,14])
    dfdy[indx[14], indx[44]] = -(0)
    dfdy[indx[14], indx[45]] = -(0)
    dfdy[indx[14], indx[46]] = -(M*k[514] + k[454]*y[:,34]*y[:,9])
    dfdy[indx[14], indx[47]] = -(0)
    dfdy[indx[14], indx[48]] = -(0)
    dfdy[indx[14], indx[49]] = -(0)
    dfdy[indx[14], indx[50]] = -(0)
    dfdy[indx[14], indx[51]] = -(0)
    dfdy[indx[14], indx[52]] = -(0)
    dfdy[indx[15], indx[0]] = -(0)
    dfdy[indx[15], indx[1]] = -(-k[83]*y[:,15])
    dfdy[indx[15], indx[2]] = -(-k[14]*y[:,15]*y[:,9] - k[42]*y[:,15])
    dfdy[indx[15], indx[3]] = -(k[411]*y[:,24] - k[430]*y[:,15])
    dfdy[indx[15], indx[4]] = -(0)
    dfdy[indx[15], indx[5]] = -(k[13]*y[:,13] + k[15]*y[:,13] - k[450]*y[:,15]*y[:,9] + k[86]*y[:,9])
    dfdy[indx[15], indx[6]] = -(-k[114]*y[:,15] - k[85]*y[:,15])
    dfdy[indx[15], indx[7]] = -(-k[16]*y[:,15] + k[41]*y[:,13])
    dfdy[indx[15], indx[8]] = -(0)
    dfdy[indx[15], indx[9]] = -(M*k[477]*y[:,13] - k[124]*y[:,15] - k[14]*y[:,15]*y[:,2] + k[307]*y[:,36] - k[372]*y[:,15]*y[:,34] - k[386]*y[:,15]*y[:,33] - k[450]*y[:,15]*y[:,5] + k[574]*y[:,13] + 2*k[578]*y[:,10]*y[:,9] + k[84]*y[:,25] + k[86]*y[:,5])
    dfdy[indx[15], indx[10]] = -(-k[308]*y[:,15] + k[578]*y[:,9]**2 - k[94]*y[:,15])
    dfdy[indx[15], indx[11]] = -(k[82]*y[:,13])
    dfdy[indx[15], indx[12]] = -(0)
    dfdy[indx[15], indx[13]] = -(M*k[477]*y[:,9] + k[101]*y[:,22] + k[107]*y[:,18] + k[109]*y[:,17] + k[113]*y[:,19] + k[123]*y[:,20] + k[13]*y[:,5] + k[15]*y[:,5] + k[313]*y[:,36] + k[371]*y[:,33] + k[385]*y[:,40] + k[413]*y[:,24] + k[41]*y[:,7] + k[429]*y[:,25] + k[437]*y[:,43] + k[449]*y[:,45] + k[574]*y[:,9] + 2*k[80]*y[:,13] + k[82]*y[:,11] + 2*k[93]*y[:,13])
    dfdy[indx[15], indx[14]] = -(-k[81]*y[:,15])
    dfdy[indx[15], indx[15]] = -(-M*k[478] - M*k[504] - k[102]*y[:,23] - k[108]*y[:,17] - k[110]*y[:,19] - k[114]*y[:,6] - k[124]*y[:,9] - k[14]*y[:,2]*y[:,9] - k[16]*y[:,7] - k[308]*y[:,10] - k[314]*y[:,27] - k[372]*y[:,34]*y[:,9] - k[386]*y[:,33]*y[:,9] - k[412]*y[:,30] - k[414]*y[:,22] - k[416]*y[:,25] - k[42]*y[:,2] - k[430]*y[:,3] - k[438]*y[:,24] - k[450]*y[:,5]*y[:,9] - k[571] - k[573] - k[575] - k[577] - k[79]*y[:,16] - k[81]*y[:,14] - k[83]*y[:,1] - k[85]*y[:,6] - k[94]*y[:,10])
    dfdy[indx[15], indx[16]] = -(M*k[503]*y[:,20] + k[576]*y[:,20] - k[79]*y[:,15])
    dfdy[indx[15], indx[17]] = -(-k[108]*y[:,15] + k[109]*y[:,13])
    dfdy[indx[15], indx[18]] = -(k[107]*y[:,13])
    dfdy[indx[15], indx[19]] = -(-k[110]*y[:,15] + k[113]*y[:,13])
    dfdy[indx[15], indx[20]] = -(M*k[503]*y[:,16] + k[123]*y[:,13] + k[576]*y[:,16])
    dfdy[indx[15], indx[21]] = -(0)
    dfdy[indx[15], indx[22]] = -(k[101]*y[:,13] - k[414]*y[:,15])
    dfdy[indx[15], indx[23]] = -(-k[102]*y[:,15])
    dfdy[indx[15], indx[24]] = -(k[411]*y[:,3] + k[413]*y[:,13] + k[415]*y[:,36] - k[438]*y[:,15])
    dfdy[indx[15], indx[25]] = -(-k[416]*y[:,15] + k[429]*y[:,13] + k[84]*y[:,9])
    dfdy[indx[15], indx[26]] = -(0)
    dfdy[indx[15], indx[27]] = -(-k[314]*y[:,15])
    dfdy[indx[15], indx[28]] = -(0)
    dfdy[indx[15], indx[29]] = -(0)
    dfdy[indx[15], indx[30]] = -(-k[412]*y[:,15])
    dfdy[indx[15], indx[31]] = -(0)
    dfdy[indx[15], indx[32]] = -(0)
    dfdy[indx[15], indx[33]] = -(k[371]*y[:,13] - k[386]*y[:,15]*y[:,9])
    dfdy[indx[15], indx[34]] = -(-k[372]*y[:,15]*y[:,9])
    dfdy[indx[15], indx[35]] = -(0)
    dfdy[indx[15], indx[36]] = -(k[307]*y[:,9] + k[313]*y[:,13] + k[415]*y[:,24])
    dfdy[indx[15], indx[37]] = -(0)
    dfdy[indx[15], indx[38]] = -(0)
    dfdy[indx[15], indx[39]] = -(0)
    dfdy[indx[15], indx[40]] = -(k[385]*y[:,13])
    dfdy[indx[15], indx[41]] = -(0)
    dfdy[indx[15], indx[42]] = -(0)
    dfdy[indx[15], indx[43]] = -(k[437]*y[:,13])
    dfdy[indx[15], indx[44]] = -(0)
    dfdy[indx[15], indx[45]] = -(k[449]*y[:,13])
    dfdy[indx[15], indx[46]] = -(0)
    dfdy[indx[15], indx[47]] = -(k[572])
    dfdy[indx[15], indx[48]] = -(0)
    dfdy[indx[15], indx[49]] = -(0)
    dfdy[indx[15], indx[50]] = -(0)
    dfdy[indx[15], indx[51]] = -(0)
    dfdy[indx[15], indx[52]] = -(0)
    dfdy[indx[16], indx[0]] = -(M*k[462] + k[48]*y[:,9] + k[599])
    dfdy[indx[16], indx[1]] = -(k[160]*y[:,2])
    dfdy[indx[16], indx[2]] = -(-M*k[461]*y[:,16] + k[160]*y[:,1] + k[168]*y[:,9]**2 + k[170]*y[:,20] + k[172]*y[:,9] - k[600]*y[:,16])
    dfdy[indx[16], indx[3]] = -(0)
    dfdy[indx[16], indx[4]] = -(-M*k[499]*y[:,16] - k[167]*y[:,16] - k[169]*y[:,16])
    dfdy[indx[16], indx[5]] = -(M*k[500] + k[164]*y[:,9] - k[19]*y[:,16])
    dfdy[indx[16], indx[6]] = -(-M*k[501]*y[:,16] - k[171]*y[:,16])
    dfdy[indx[16], indx[7]] = -(M*k[502] + k[166]*y[:,9] + k[20]*y[:,13] - k[47]*y[:,16])
    dfdy[indx[16], indx[8]] = -(M*k[494])
    dfdy[indx[16], indx[9]] = -(-M*k[505]*y[:,16] + k[156]*y[:,28] + k[164]*y[:,5] + k[166]*y[:,7] + 2*k[168]*y[:,2]*y[:,9] + k[172]*y[:,2] + k[174]*y[:,13] + k[398]*y[:,13]*y[:,33] + k[48]*y[:,0] + k[98]*y[:,27])
    dfdy[indx[16], indx[10]] = -(M*k[508] + k[154]*y[:,21] + k[400]*y[:,40] - k[628]*y[:,16])
    dfdy[indx[16], indx[11]] = -(-M*k[491]*y[:,16] + k[158]*y[:,13])
    dfdy[indx[16], indx[12]] = -(0)
    dfdy[indx[16], indx[13]] = -(-M*k[473]*y[:,16] + M*k[506] + k[158]*y[:,11] + k[162]*y[:,17] + k[174]*y[:,9] + k[20]*y[:,7] + k[398]*y[:,33]*y[:,9] + 2*k[80]*y[:,13] - k[97]*y[:,16])
    dfdy[indx[16], indx[14]] = -(-M*k[493]*y[:,16] - k[159]*y[:,16])
    dfdy[indx[16], indx[15]] = -(M*k[504] + k[575] - k[79]*y[:,16])
    dfdy[indx[16], indx[16]] = -(-M*k[461]*y[:,2] - M*k[473]*y[:,13] - M*k[491]*y[:,11] - M*k[493]*y[:,14] - 4*M*k[495]*y[:,16] - M*k[497]*y[:,18] - M*k[499]*y[:,4] - M*k[501]*y[:,6] - M*k[503]*y[:,20] - M*k[505]*y[:,9] - M*k[507] - k[153]*y[:,21] - k[155]*y[:,21] - k[157]*y[:,21] - k[159]*y[:,14] - k[161]*y[:,18] - k[163]*y[:,17] - k[165]*y[:,19] - k[167]*y[:,4] - k[169]*y[:,4] - k[171]*y[:,6] - k[173]*y[:,20] - k[19]*y[:,5] - k[397]*y[:,40] - k[399]*y[:,40] - k[47]*y[:,7] - k[576]*y[:,20] - k[600]*y[:,2] - k[628]*y[:,10] - k[79]*y[:,15] - k[97]*y[:,13])
    dfdy[indx[16], indx[17]] = -(k[162]*y[:,13] - k[163]*y[:,16])
    dfdy[indx[16], indx[18]] = -(-M*k[497]*y[:,16] - k[161]*y[:,16])
    dfdy[indx[16], indx[19]] = -(-k[165]*y[:,16])
    dfdy[indx[16], indx[20]] = -(-M*k[503]*y[:,16] + k[170]*y[:,2] - k[173]*y[:,16] - k[576]*y[:,16])
    dfdy[indx[16], indx[21]] = -(-k[153]*y[:,16] + k[154]*y[:,10] - k[155]*y[:,16] - k[157]*y[:,16])
    dfdy[indx[16], indx[22]] = -(0)
    dfdy[indx[16], indx[23]] = -(0)
    dfdy[indx[16], indx[24]] = -(0)
    dfdy[indx[16], indx[25]] = -(0)
    dfdy[indx[16], indx[26]] = -(0)
    dfdy[indx[16], indx[27]] = -(2*M*k[496] + k[627] + k[98]*y[:,9])
    dfdy[indx[16], indx[28]] = -(M*k[492] + k[156]*y[:,9])
    dfdy[indx[16], indx[29]] = -(0)
    dfdy[indx[16], indx[30]] = -(0)
    dfdy[indx[16], indx[31]] = -(0)
    dfdy[indx[16], indx[32]] = -(0)
    dfdy[indx[16], indx[33]] = -(k[398]*y[:,13]*y[:,9])
    dfdy[indx[16], indx[34]] = -(0)
    dfdy[indx[16], indx[35]] = -(0)
    dfdy[indx[16], indx[36]] = -(M*k[474])
    dfdy[indx[16], indx[37]] = -(0)
    dfdy[indx[16], indx[38]] = -(0)
    dfdy[indx[16], indx[39]] = -(0)
    dfdy[indx[16], indx[40]] = -(-k[397]*y[:,16] - k[399]*y[:,16] + k[400]*y[:,10])
    dfdy[indx[16], indx[41]] = -(0)
    dfdy[indx[16], indx[42]] = -(0)
    dfdy[indx[16], indx[43]] = -(0)
    dfdy[indx[16], indx[44]] = -(0)
    dfdy[indx[16], indx[45]] = -(M*k[498])
    dfdy[indx[16], indx[46]] = -(0)
    dfdy[indx[16], indx[47]] = -(0)
    dfdy[indx[16], indx[48]] = -(0)
    dfdy[indx[16], indx[49]] = -(0)
    dfdy[indx[16], indx[50]] = -(0)
    dfdy[indx[16], indx[51]] = -(0)
    dfdy[indx[16], indx[52]] = -(0)
    dfdy[indx[17], indx[0]] = -(0)
    dfdy[indx[17], indx[1]] = -(-k[247]*y[:,17])
    dfdy[indx[17], indx[2]] = -(-k[28]*y[:,17] - k[444]*y[:,17]*y[:,20] + k[62]*y[:,18] - k[64]*y[:,17] - k[66]*y[:,17])
    dfdy[indx[17], indx[3]] = -(0)
    dfdy[indx[17], indx[4]] = -(M*k[549]*y[:,9] + 2*k[259]*y[:,18] + k[25]*y[:,5] - k[269]*y[:,17] + k[291]*y[:,20] + k[590]*y[:,9] + k[65]*y[:,7])
    dfdy[indx[17], indx[5]] = -(k[140]*y[:,9] + k[164]*y[:,9] - k[21]*y[:,17] + k[23]*y[:,19] + k[25]*y[:,4] + k[27]*y[:,6])
    dfdy[indx[17], indx[6]] = -(M*k[553]*y[:,20] - k[271]*y[:,17] - k[273]*y[:,17] + k[27]*y[:,5] + k[387]*y[:,40] + k[588]*y[:,20])
    dfdy[indx[17], indx[7]] = -(-M*k[457]*y[:,17] + k[22]*y[:,18] - k[24]*y[:,17] - k[26]*y[:,17] - k[366]*y[:,17] - k[61]*y[:,17] - k[638]*y[:,17] + k[63]*y[:,19] + k[65]*y[:,4])
    dfdy[indx[17], indx[8]] = -(0)
    dfdy[indx[17], indx[9]] = -(-M*k[539]*y[:,17] + M*k[543]*y[:,19] + M*k[549]*y[:,4] + k[140]*y[:,5] + k[164]*y[:,5] + k[238]*y[:,21] + k[248]*y[:,21] + k[263]*y[:,18] + k[268]*y[:,33] + k[270]*y[:,33] + 2*k[274]*y[:,34]*y[:,9] - k[275]*y[:,17] - k[292]*y[:,17] + k[374]*y[:,18]*y[:,34] - k[380]*y[:,17]*y[:,33] + k[392]*y[:,18]*y[:,33] + k[443]*y[:,44] - k[580]*y[:,17] + k[590]*y[:,4])
    dfdy[indx[17], indx[10]] = -(k[137]*y[:,18] - k[139]*y[:,17] + k[365]*y[:,33])
    dfdy[indx[17], indx[11]] = -(-k[212]*y[:,17] + k[214]*y[:,19] - k[370]*y[:,17])
    dfdy[indx[17], indx[12]] = -(0)
    dfdy[indx[17], indx[13]] = -(-M*k[475]*y[:,17] + k[107]*y[:,18] - k[109]*y[:,17] - k[138]*y[:,17] - k[162]*y[:,17] - k[630]*y[:,17])
    dfdy[indx[17], indx[14]] = -(-M*k[513]*y[:,17] + k[211]*y[:,18] - k[213]*y[:,17])
    dfdy[indx[17], indx[15]] = -(-k[108]*y[:,17] + k[110]*y[:,19])
    dfdy[indx[17], indx[16]] = -(k[161]*y[:,18] - k[163]*y[:,17])
    dfdy[indx[17], indx[17]] = -(-M*k[457]*y[:,7] - M*k[475]*y[:,13] - M*k[513]*y[:,14] - 4*M*k[537]*y[:,17] - M*k[539]*y[:,9] - M*k[544] - M*k[550] - M*k[554] - k[108]*y[:,15] - k[109]*y[:,13] - k[138]*y[:,13] - k[139]*y[:,10] - k[162]*y[:,13] - k[163]*y[:,16] - k[212]*y[:,11] - k[213]*y[:,14] - k[21]*y[:,5] - k[227]*y[:,22] - k[237]*y[:,23] - k[247]*y[:,1] - k[24]*y[:,7] - 4*k[260]*y[:,17] - k[264]*y[:,20] - 4*k[265]*y[:,17] - k[267]*y[:,19] - k[269]*y[:,4] - k[26]*y[:,7] - k[271]*y[:,6] - k[273]*y[:,6] - k[275]*y[:,9] - k[28]*y[:,2] - k[292]*y[:,9] - k[326]*y[:,34] - k[366]*y[:,7] - k[370]*y[:,11] - k[373]*y[:,33] - k[380]*y[:,33]*y[:,9] - k[388]*y[:,33] - k[391]*y[:,40] - k[424]*y[:,43] - k[444]*y[:,20]*y[:,2] - k[448]*y[:,25] - k[580]*y[:,9] - k[587] - k[589] - 4*k[616]*y[:,17] - k[61]*y[:,7] - k[630]*y[:,13] - k[638]*y[:,7] - k[64]*y[:,2] - k[66]*y[:,2])
    dfdy[indx[17], indx[18]] = -(M*k[540] + k[107]*y[:,13] + k[137]*y[:,10] + k[161]*y[:,16] + k[211]*y[:,14] + k[22]*y[:,7] + 2*k[259]*y[:,4] + k[263]*y[:,9] + 2*k[266]*y[:,19] + k[325]*y[:,35] + k[374]*y[:,34]*y[:,9] + k[392]*y[:,33]*y[:,9] + k[423]*y[:,24] + k[579] + k[62]*y[:,2])
    dfdy[indx[17], indx[19]] = -(M*k[543]*y[:,9] + k[110]*y[:,15] + k[214]*y[:,11] + k[23]*y[:,5] + 2*k[266]*y[:,18] - k[267]*y[:,17] + k[276]*y[:,20] + k[379]*y[:,40] + k[63]*y[:,7])
    dfdy[indx[17], indx[20]] = -(M*k[553]*y[:,6] + k[228]*y[:,21] - k[264]*y[:,17] + k[276]*y[:,19] + k[291]*y[:,4] - k[444]*y[:,17]*y[:,2] + k[588]*y[:,6])
    dfdy[indx[17], indx[21]] = -(k[228]*y[:,20] + k[238]*y[:,9] + k[248]*y[:,9])
    dfdy[indx[17], indx[22]] = -(-k[227]*y[:,17])
    dfdy[indx[17], indx[23]] = -(-k[237]*y[:,17] + k[369]*y[:,33] + k[447]*y[:,45])
    dfdy[indx[17], indx[24]] = -(k[423]*y[:,18])
    dfdy[indx[17], indx[25]] = -(-k[448]*y[:,17])
    dfdy[indx[17], indx[26]] = -(0)
    dfdy[indx[17], indx[27]] = -(0)
    dfdy[indx[17], indx[28]] = -(0)
    dfdy[indx[17], indx[29]] = -(0)
    dfdy[indx[17], indx[30]] = -(0)
    dfdy[indx[17], indx[31]] = -(0)
    dfdy[indx[17], indx[32]] = -(0)
    dfdy[indx[17], indx[33]] = -(k[268]*y[:,9] + k[270]*y[:,9] + k[272] + k[365]*y[:,10] + k[369]*y[:,23] - k[373]*y[:,17] - k[380]*y[:,17]*y[:,9] - k[388]*y[:,17] + k[392]*y[:,18]*y[:,9])
    dfdy[indx[17], indx[34]] = -(k[274]*y[:,9]**2 - k[326]*y[:,17] + k[374]*y[:,18]*y[:,9])
    dfdy[indx[17], indx[35]] = -(k[325]*y[:,18])
    dfdy[indx[17], indx[36]] = -(0)
    dfdy[indx[17], indx[37]] = -(0)
    dfdy[indx[17], indx[38]] = -(0)
    dfdy[indx[17], indx[39]] = -(0)
    dfdy[indx[17], indx[40]] = -(2*M*k[538] + k[379]*y[:,19] + k[387]*y[:,6] - k[391]*y[:,17] + 2*k[615])
    dfdy[indx[17], indx[41]] = -(0)
    dfdy[indx[17], indx[42]] = -(0)
    dfdy[indx[17], indx[43]] = -(-k[424]*y[:,17])
    dfdy[indx[17], indx[44]] = -(M*k[458] + k[443]*y[:,9] + k[637])
    dfdy[indx[17], indx[45]] = -(M*k[476] + k[447]*y[:,23] + k[629])
    dfdy[indx[17], indx[46]] = -(M*k[514])
    dfdy[indx[17], indx[47]] = -(0)
    dfdy[indx[17], indx[48]] = -(0)
    dfdy[indx[17], indx[49]] = -(0)
    dfdy[indx[17], indx[50]] = -(0)
    dfdy[indx[17], indx[51]] = -(0)
    dfdy[indx[17], indx[52]] = -(0)
    dfdy[indx[18], indx[0]] = -(0)
    dfdy[indx[18], indx[1]] = -(-k[245]*y[:,18])
    dfdy[indx[18], indx[2]] = -(-k[62]*y[:,18] - k[636]*y[:,18])
    dfdy[indx[18], indx[3]] = -(0)
    dfdy[indx[18], indx[4]] = -(-M*k[535]*y[:,18] + M*k[547]*y[:,20] - k[259]*y[:,18] + k[582]*y[:,20] + k[584]*y[:,9]**2 - k[614]*y[:,18])
    dfdy[indx[18], indx[5]] = -(k[21]*y[:,17])
    dfdy[indx[18], indx[6]] = -(-k[261]*y[:,18] + k[586]*y[:,20]*y[:,9])
    dfdy[indx[18], indx[7]] = -(-k[22]*y[:,18] - k[446]*y[:,18] + k[61]*y[:,17])
    dfdy[indx[18], indx[8]] = -(0)
    dfdy[indx[18], indx[9]] = -(M*k[539]*y[:,17] + k[262]*y[:,33] - k[263]*y[:,18] - k[374]*y[:,18]*y[:,34] - k[392]*y[:,18]*y[:,33] + k[445]*y[:,44] + k[580]*y[:,17] + 2*k[584]*y[:,4]*y[:,9] + k[586]*y[:,20]*y[:,6])
    dfdy[indx[18], indx[10]] = -(-k[137]*y[:,18])
    dfdy[indx[18], indx[11]] = -(k[212]*y[:,17])
    dfdy[indx[18], indx[12]] = -(0)
    dfdy[indx[18], indx[13]] = -(-k[107]*y[:,18] + k[138]*y[:,17] + k[162]*y[:,17])
    dfdy[indx[18], indx[14]] = -(-k[211]*y[:,18])
    dfdy[indx[18], indx[15]] = -(k[108]*y[:,17])
    dfdy[indx[18], indx[16]] = -(-M*k[497]*y[:,18] - k[161]*y[:,18])
    dfdy[indx[18], indx[17]] = -(M*k[539]*y[:,9] + k[108]*y[:,15] + k[138]*y[:,13] + k[162]*y[:,13] + k[212]*y[:,11] + k[21]*y[:,5] + 2*k[260]*y[:,17] + k[264]*y[:,20] + 2*k[265]*y[:,17] + k[326]*y[:,34] + k[373]*y[:,33] + k[391]*y[:,40] + k[424]*y[:,43] + k[580]*y[:,9] + k[61]*y[:,7])
    dfdy[indx[18], indx[18]] = -(-M*k[497]*y[:,16] - M*k[535]*y[:,4] - M*k[540] - M*k[548] - k[107]*y[:,13] - k[137]*y[:,10] - k[161]*y[:,16] - k[211]*y[:,14] - k[22]*y[:,7] - k[245]*y[:,1] - k[259]*y[:,4] - k[261]*y[:,6] - k[263]*y[:,9] - k[266]*y[:,19] - k[325]*y[:,35] - k[374]*y[:,34]*y[:,9] - k[392]*y[:,33]*y[:,9] - k[423]*y[:,24] - k[446]*y[:,7] - k[579] - k[581] - k[583] - k[585] - k[614]*y[:,4] - k[62]*y[:,2] - k[636]*y[:,2])
    dfdy[indx[18], indx[19]] = -(-k[266]*y[:,18])
    dfdy[indx[18], indx[20]] = -(M*k[547]*y[:,4] + k[246]*y[:,21] + k[264]*y[:,17] + k[582]*y[:,4] + k[586]*y[:,6]*y[:,9])
    dfdy[indx[18], indx[21]] = -(k[246]*y[:,20])
    dfdy[indx[18], indx[22]] = -(0)
    dfdy[indx[18], indx[23]] = -(0)
    dfdy[indx[18], indx[24]] = -(-k[423]*y[:,18])
    dfdy[indx[18], indx[25]] = -(0)
    dfdy[indx[18], indx[26]] = -(0)
    dfdy[indx[18], indx[27]] = -(0)
    dfdy[indx[18], indx[28]] = -(0)
    dfdy[indx[18], indx[29]] = -(0)
    dfdy[indx[18], indx[30]] = -(0)
    dfdy[indx[18], indx[31]] = -(0)
    dfdy[indx[18], indx[32]] = -(0)
    dfdy[indx[18], indx[33]] = -(k[262]*y[:,9] + k[373]*y[:,17] - k[392]*y[:,18]*y[:,9])
    dfdy[indx[18], indx[34]] = -(k[326]*y[:,17] - k[374]*y[:,18]*y[:,9])
    dfdy[indx[18], indx[35]] = -(-k[325]*y[:,18])
    dfdy[indx[18], indx[36]] = -(0)
    dfdy[indx[18], indx[37]] = -(0)
    dfdy[indx[18], indx[38]] = -(0)
    dfdy[indx[18], indx[39]] = -(0)
    dfdy[indx[18], indx[40]] = -(M*k[536] + k[391]*y[:,17] + k[613])
    dfdy[indx[18], indx[41]] = -(0)
    dfdy[indx[18], indx[42]] = -(0)
    dfdy[indx[18], indx[43]] = -(k[424]*y[:,17])
    dfdy[indx[18], indx[44]] = -(k[445]*y[:,9] + k[635])
    dfdy[indx[18], indx[45]] = -(M*k[498])
    dfdy[indx[18], indx[46]] = -(0)
    dfdy[indx[18], indx[47]] = -(0)
    dfdy[indx[18], indx[48]] = -(0)
    dfdy[indx[18], indx[49]] = -(0)
    dfdy[indx[18], indx[50]] = -(0)
    dfdy[indx[18], indx[51]] = -(0)
    dfdy[indx[18], indx[52]] = -(0)
    dfdy[indx[19], indx[0]] = -(0)
    dfdy[indx[19], indx[1]] = -(-M*k[527]*y[:,19] + k[181]*y[:,21] - k[249]*y[:,19] - k[251]*y[:,19])
    dfdy[indx[19], indx[2]] = -(k[142]*y[:,9]**2 + k[144]*y[:,20] - k[316]*y[:,19] - k[356]*y[:,19] - k[360]*y[:,19] + k[64]*y[:,17] - k[68]*y[:,19])
    dfdy[indx[19], indx[3]] = -(0)
    dfdy[indx[19], indx[4]] = -(M*k[563] - k[279]*y[:,19] + k[295]*y[:,9])
    dfdy[indx[19], indx[5]] = -(M*k[486] + k[112]*y[:,9] - k[23]*y[:,19] + k[29]*y[:,6] - k[368]*y[:,19])
    dfdy[indx[19], indx[6]] = -(M*k[555]*y[:,9] + k[114]*y[:,15] + k[187]*y[:,21] - k[281]*y[:,19] - k[283]*y[:,19] + k[286]*y[:,20] + k[29]*y[:,5] + k[658]*y[:,9] + k[67]*y[:,7])
    dfdy[indx[19], indx[7]] = -(k[166]*y[:,9] + k[24]*y[:,17] - k[30]*y[:,19] - k[63]*y[:,19] + k[67]*y[:,6])
    dfdy[indx[19], indx[8]] = -(0)
    dfdy[indx[19], indx[9]] = -(-M*k[543]*y[:,19] + M*k[555]*y[:,6] + k[112]*y[:,5] + 2*k[142]*y[:,2]*y[:,9] + k[166]*y[:,7] + k[230]*y[:,21] + k[240]*y[:,11] + k[250]*y[:,11] + 2*k[252]*y[:,14]*y[:,9] + k[268]*y[:,33] + k[275]*y[:,17] + 2*k[280]*y[:,34]*y[:,9] + k[282]*y[:,34] + 2*k[284]*y[:,35]*y[:,9] - k[285]*y[:,19] + k[295]*y[:,4] - k[296]*y[:,19] + k[315]*y[:,37] + k[380]*y[:,17]*y[:,33] + k[658]*y[:,6])
    dfdy[indx[19], indx[10]] = -(-M*k[485]*y[:,19] - k[141]*y[:,19] - k[143]*y[:,19] + k[359]*y[:,34] + k[367]*y[:,33])
    dfdy[indx[19], indx[11]] = -(-k[188]*y[:,19] - k[214]*y[:,19] + k[240]*y[:,9] + k[250]*y[:,9])
    dfdy[indx[19], indx[12]] = -(0)
    dfdy[indx[19], indx[13]] = -(k[109]*y[:,17] - k[111]*y[:,19] - k[113]*y[:,19] + k[355]*y[:,35])
    dfdy[indx[19], indx[14]] = -(-M*k[515]*y[:,19] + k[213]*y[:,17] + k[252]*y[:,9]**2)
    dfdy[indx[19], indx[15]] = -(-k[110]*y[:,19] + k[114]*y[:,6])
    dfdy[indx[19], indx[16]] = -(-k[165]*y[:,19])
    dfdy[indx[19], indx[17]] = -(M*k[544] + k[109]*y[:,13] + k[213]*y[:,14] + k[24]*y[:,7] + 2*k[265]*y[:,17] - k[267]*y[:,19] + k[275]*y[:,9] + k[380]*y[:,33]*y[:,9] + k[64]*y[:,2])
    dfdy[indx[19], indx[18]] = -(-k[266]*y[:,19])
    dfdy[indx[19], indx[19]] = -(-M*k[485]*y[:,10] - M*k[515]*y[:,14] - M*k[521]*y[:,23] - M*k[527]*y[:,1] - 4*M*k[541]*y[:,19] - M*k[543]*y[:,9] - M*k[556] - M*k[564] - M*k[568] - k[110]*y[:,15] - k[111]*y[:,13] - k[113]*y[:,13] - k[141]*y[:,10] - k[143]*y[:,10] - k[165]*y[:,16] - k[178]*y[:,30] - k[182]*y[:,30] - k[188]*y[:,11] - k[214]*y[:,11] - k[229]*y[:,22] - k[239]*y[:,23] - k[23]*y[:,5] - k[249]*y[:,1] - k[251]*y[:,1] - k[266]*y[:,18] - k[267]*y[:,17] - k[276]*y[:,20] - 4*k[277]*y[:,19] - k[279]*y[:,4] - k[281]*y[:,6] - k[283]*y[:,6] - k[285]*y[:,9] - k[296]*y[:,9] - k[30]*y[:,7] - k[316]*y[:,2] - k[356]*y[:,2] - k[360]*y[:,2] - k[368]*y[:,5] - k[379]*y[:,40] - k[63]*y[:,7] - k[657] - k[68]*y[:,2])
    dfdy[indx[19], indx[20]] = -(M*k[567]*y[:,29] + k[144]*y[:,2] - k[276]*y[:,19] + 2*k[278]*y[:,34] + k[286]*y[:,6])
    dfdy[indx[19], indx[21]] = -(M*k[522] + M*k[528] + k[177]*y[:,23] + k[181]*y[:,1] + k[187]*y[:,6] + k[230]*y[:,9])
    dfdy[indx[19], indx[22]] = -(-k[229]*y[:,19])
    dfdy[indx[19], indx[23]] = -(-M*k[521]*y[:,19] + k[177]*y[:,21] - k[239]*y[:,19])
    dfdy[indx[19], indx[24]] = -(0)
    dfdy[indx[19], indx[25]] = -(0)
    dfdy[indx[19], indx[26]] = -(0)
    dfdy[indx[19], indx[27]] = -(0)
    dfdy[indx[19], indx[28]] = -(0)
    dfdy[indx[19], indx[29]] = -(M*k[567]*y[:,20])
    dfdy[indx[19], indx[30]] = -(-k[178]*y[:,19] - k[182]*y[:,19])
    dfdy[indx[19], indx[31]] = -(M*k[516])
    dfdy[indx[19], indx[32]] = -(0)
    dfdy[indx[19], indx[33]] = -(2*M*k[542] + k[268]*y[:,9] + k[367]*y[:,10] + k[380]*y[:,17]*y[:,9])
    dfdy[indx[19], indx[34]] = -(2*k[278]*y[:,20] + k[280]*y[:,9]**2 + k[282]*y[:,9] + k[359]*y[:,10])
    dfdy[indx[19], indx[35]] = -(k[284]*y[:,9]**2 + k[355]*y[:,13])
    dfdy[indx[19], indx[36]] = -(0)
    dfdy[indx[19], indx[37]] = -(k[315]*y[:,9])
    dfdy[indx[19], indx[38]] = -(0)
    dfdy[indx[19], indx[39]] = -(0)
    dfdy[indx[19], indx[40]] = -(-k[379]*y[:,19])
    dfdy[indx[19], indx[41]] = -(0)
    dfdy[indx[19], indx[42]] = -(0)
    dfdy[indx[19], indx[43]] = -(0)
    dfdy[indx[19], indx[44]] = -(0)
    dfdy[indx[19], indx[45]] = -(0)
    dfdy[indx[19], indx[46]] = -(0)
    dfdy[indx[19], indx[47]] = -(0)
    dfdy[indx[19], indx[48]] = -(0)
    dfdy[indx[19], indx[49]] = -(0)
    dfdy[indx[19], indx[50]] = -(0)
    dfdy[indx[19], indx[51]] = -(0)
    dfdy[indx[19], indx[52]] = -(0)
    dfdy[indx[20], indx[0]] = -(0)
    dfdy[indx[20], indx[1]] = -(k[245]*y[:,18] - k[257]*y[:,20])
    dfdy[indx[20], indx[2]] = -(-k[120]*y[:,20] - k[144]*y[:,20] - k[170]*y[:,20] - 2*k[38]*y[:,20]*y[:,2] - k[444]*y[:,17]*y[:,20] - k[622]*y[:,20] - k[72]*y[:,20])
    dfdy[indx[20], indx[3]] = -(-k[410]*y[:,20] - k[428]*y[:,20])
    dfdy[indx[20], indx[4]] = -(-M*k[547]*y[:,20] + k[169]*y[:,16] + 2*k[287]*y[:,4] - k[291]*y[:,20] + k[293]*y[:,9] - k[582]*y[:,20])
    dfdy[indx[20], indx[5]] = -(k[31]*y[:,9] + k[621] - k[632]*y[:,20])
    dfdy[indx[20], indx[6]] = -(-M*k[553]*y[:,20] + k[119]*y[:,13] - k[286]*y[:,20] - k[294]*y[:,20] + k[299]*y[:,9] - k[586]*y[:,20]*y[:,9] - k[588]*y[:,20])
    dfdy[indx[20], indx[7]] = -(-k[32]*y[:,20] + 2*k[37]*y[:,7] - k[442]*y[:,11]*y[:,20] + k[71]*y[:,9])
    dfdy[indx[20], indx[8]] = -(0)
    dfdy[indx[20], indx[9]] = -(2*M*k[559]*y[:,9] + k[124]*y[:,15] + k[152]*y[:,13] + k[174]*y[:,13] + k[191]*y[:,21] + k[218]*y[:,11] + k[235]*y[:,22] + k[258]*y[:,22] + k[263]*y[:,18] + k[275]*y[:,17] + k[285]*y[:,19] + k[292]*y[:,17] + k[293]*y[:,4] + k[299]*y[:,6] + k[311]*y[:,36] + k[31]*y[:,5] + k[352]*y[:,34] + k[383]*y[:,40] - k[384]*y[:,20]*y[:,33] + k[420]*y[:,43] + k[427]*y[:,25] + k[443]*y[:,44] - k[586]*y[:,20]*y[:,6] + 2*k[594]*y[:,9] + k[71]*y[:,7])
    dfdy[indx[20], indx[10]] = -(k[143]*y[:,19] - k[151]*y[:,20] + k[409]*y[:,24])
    dfdy[indx[20], indx[11]] = -(-k[192]*y[:,20] + k[218]*y[:,9] - k[442]*y[:,20]*y[:,7])
    dfdy[indx[20], indx[12]] = -(0)
    dfdy[indx[20], indx[13]] = -(k[119]*y[:,6] - k[123]*y[:,20] + k[152]*y[:,9] + k[174]*y[:,9])
    dfdy[indx[20], indx[14]] = -(-k[217]*y[:,20])
    dfdy[indx[20], indx[15]] = -(M*k[504] + k[124]*y[:,9] + k[575])
    dfdy[indx[20], indx[16]] = -(-M*k[503]*y[:,20] + k[169]*y[:,4] - k[173]*y[:,20] - k[576]*y[:,20])
    dfdy[indx[20], indx[17]] = -(M*k[554] + k[227]*y[:,22] - k[264]*y[:,20] + k[275]*y[:,9] + k[292]*y[:,9] - k[444]*y[:,20]*y[:,2] + k[587])
    dfdy[indx[20], indx[18]] = -(M*k[548] + k[245]*y[:,1] + k[263]*y[:,9] + k[581] + k[585])
    dfdy[indx[20], indx[19]] = -(M*k[568] + k[143]*y[:,10] - k[276]*y[:,20] + 2*k[277]*y[:,19] + k[285]*y[:,9])
    dfdy[indx[20], indx[20]] = -(-M*k[503]*y[:,16] - M*k[547]*y[:,4] - M*k[553]*y[:,6] - M*k[560] - M*k[567]*y[:,29] - k[120]*y[:,2] - k[123]*y[:,13] - k[144]*y[:,2] - k[151]*y[:,10] - k[170]*y[:,2] - k[173]*y[:,16] - k[192]*y[:,11] - k[217]*y[:,14] - k[228]*y[:,21] - k[236]*y[:,23] - k[246]*y[:,21] - k[257]*y[:,1] - k[264]*y[:,17] - k[276]*y[:,19] - k[278]*y[:,34] - k[286]*y[:,6] - k[288]*y[:,34] - k[291]*y[:,4] - k[294]*y[:,6] - k[300]*y[:,29] - k[312]*y[:,27] - k[32]*y[:,7] - k[351]*y[:,35] - k[384]*y[:,33]*y[:,9] - k[38]*y[:,2]**2 - k[410]*y[:,3] - k[419]*y[:,24] - k[428]*y[:,3] - k[442]*y[:,11]*y[:,7] - k[444]*y[:,17]*y[:,2] - k[576]*y[:,16] - k[582]*y[:,4] - k[586]*y[:,6]*y[:,9] - k[588]*y[:,6] - k[593] - k[602]*y[:,34] - k[608]*y[:,33] - 4*k[612]*y[:,20]*y[:,34] - k[622]*y[:,2] - k[632]*y[:,5] - k[72]*y[:,2])
    dfdy[indx[20], indx[21]] = -(k[191]*y[:,9] - k[228]*y[:,20] - k[246]*y[:,20])
    dfdy[indx[20], indx[22]] = -(k[227]*y[:,17] + k[235]*y[:,9] + k[258]*y[:,9])
    dfdy[indx[20], indx[23]] = -(-k[236]*y[:,20] + k[441]*y[:,44])
    dfdy[indx[20], indx[24]] = -(k[409]*y[:,10] - k[419]*y[:,20])
    dfdy[indx[20], indx[25]] = -(k[427]*y[:,9])
    dfdy[indx[20], indx[26]] = -(0)
    dfdy[indx[20], indx[27]] = -(-k[312]*y[:,20])
    dfdy[indx[20], indx[28]] = -(0)
    dfdy[indx[20], indx[29]] = -(-M*k[567]*y[:,20] - k[300]*y[:,20])
    dfdy[indx[20], indx[30]] = -(0)
    dfdy[indx[20], indx[31]] = -(0)
    dfdy[indx[20], indx[32]] = -(0)
    dfdy[indx[20], indx[33]] = -(-k[384]*y[:,20]*y[:,9] + k[601] - k[608]*y[:,20])
    dfdy[indx[20], indx[34]] = -(-k[278]*y[:,20] - k[288]*y[:,20] + k[352]*y[:,9] - k[602]*y[:,20] - 2*k[612]*y[:,20]**2)
    dfdy[indx[20], indx[35]] = -(-k[351]*y[:,20])
    dfdy[indx[20], indx[36]] = -(k[311]*y[:,9])
    dfdy[indx[20], indx[37]] = -(0)
    dfdy[indx[20], indx[38]] = -(0)
    dfdy[indx[20], indx[39]] = -(0)
    dfdy[indx[20], indx[40]] = -(k[383]*y[:,9] + k[607] + 2*k[611])
    dfdy[indx[20], indx[41]] = -(0)
    dfdy[indx[20], indx[42]] = -(0)
    dfdy[indx[20], indx[43]] = -(k[420]*y[:,9])
    dfdy[indx[20], indx[44]] = -(k[441]*y[:,23] + k[443]*y[:,9])
    dfdy[indx[20], indx[45]] = -(k[631])
    dfdy[indx[20], indx[46]] = -(0)
    dfdy[indx[20], indx[47]] = -(0)
    dfdy[indx[20], indx[48]] = -(0)
    dfdy[indx[20], indx[49]] = -(0)
    dfdy[indx[20], indx[50]] = -(0)
    dfdy[indx[20], indx[51]] = -(0)
    dfdy[indx[20], indx[52]] = -(0)
    dfdy[indx[21], indx[0]] = -(0)
    dfdy[indx[21], indx[1]] = -(M*k[527]*y[:,19] + M*k[529]*y[:,4] - k[181]*y[:,21] - k[183]*y[:,21] + k[245]*y[:,18] + k[247]*y[:,17])
    dfdy[indx[21], indx[2]] = -(0)
    dfdy[indx[21], indx[3]] = -(0)
    dfdy[indx[21], indx[4]] = -(M*k[529]*y[:,1] + k[184]*y[:,30] + k[190]*y[:,11] + k[231]*y[:,22])
    dfdy[indx[21], indx[5]] = -(k[34]*y[:,11])
    dfdy[indx[21], indx[6]] = -(-k[185]*y[:,21] - k[187]*y[:,21] - k[189]*y[:,21])
    dfdy[indx[21], indx[7]] = -(-k[33]*y[:,21])
    dfdy[indx[21], indx[8]] = -(0)
    dfdy[indx[21], indx[9]] = -(k[126]*y[:,28] + k[156]*y[:,28] + k[186]*y[:,31] - k[191]*y[:,21] + k[194]*y[:,11] - k[230]*y[:,21] - k[232]*y[:,21] - k[238]*y[:,21] - k[248]*y[:,21])
    dfdy[indx[21], indx[10]] = -(-k[125]*y[:,21] - k[127]*y[:,21])
    dfdy[indx[21], indx[11]] = -(k[128]*y[:,13] + k[158]*y[:,13] + k[176]*y[:,24] + k[180]*y[:,22] + k[188]*y[:,19] + k[190]*y[:,4] + k[192]*y[:,20] + k[194]*y[:,9] + k[34]*y[:,5])
    dfdy[indx[21], indx[12]] = -(0)
    dfdy[indx[21], indx[13]] = -(k[128]*y[:,11] + k[158]*y[:,11])
    dfdy[indx[21], indx[14]] = -(0)
    dfdy[indx[21], indx[15]] = -(0)
    dfdy[indx[21], indx[16]] = -(-k[155]*y[:,21] - k[157]*y[:,21])
    dfdy[indx[21], indx[17]] = -(k[227]*y[:,22] + k[237]*y[:,23] + k[247]*y[:,1])
    dfdy[indx[21], indx[18]] = -(k[245]*y[:,1])
    dfdy[indx[21], indx[19]] = -(M*k[521]*y[:,23] + M*k[527]*y[:,1] + k[178]*y[:,30] + k[182]*y[:,30] + k[188]*y[:,11] + k[229]*y[:,22])
    dfdy[indx[21], indx[20]] = -(k[192]*y[:,11] - k[228]*y[:,21] - k[246]*y[:,21])
    dfdy[indx[21], indx[21]] = -(-M*k[522] - M*k[528] - M*k[530] - k[125]*y[:,10] - k[127]*y[:,10] - k[155]*y[:,16] - k[157]*y[:,16] - k[175]*y[:,22] - k[177]*y[:,23] - k[179]*y[:,23] - k[181]*y[:,1] - k[183]*y[:,1] - k[185]*y[:,6] - k[187]*y[:,6] - k[189]*y[:,6] - k[191]*y[:,9] - k[193] - k[228]*y[:,20] - k[230]*y[:,9] - k[232]*y[:,9] - k[238]*y[:,9] - k[246]*y[:,20] - k[248]*y[:,9] - k[33]*y[:,7])
    dfdy[indx[21], indx[22]] = -(-k[175]*y[:,21] + k[180]*y[:,11] + k[227]*y[:,17] + k[229]*y[:,19] + k[231]*y[:,4])
    dfdy[indx[21], indx[23]] = -(M*k[521]*y[:,19] - k[177]*y[:,21] - k[179]*y[:,21] + k[237]*y[:,17])
    dfdy[indx[21], indx[24]] = -(k[176]*y[:,11])
    dfdy[indx[21], indx[25]] = -(0)
    dfdy[indx[21], indx[26]] = -(0)
    dfdy[indx[21], indx[27]] = -(0)
    dfdy[indx[21], indx[28]] = -(k[126]*y[:,9] + k[156]*y[:,9])
    dfdy[indx[21], indx[29]] = -(0)
    dfdy[indx[21], indx[30]] = -(k[178]*y[:,19] + k[182]*y[:,19] + k[184]*y[:,4])
    dfdy[indx[21], indx[31]] = -(k[186]*y[:,9])
    dfdy[indx[21], indx[32]] = -(0)
    dfdy[indx[21], indx[33]] = -(0)
    dfdy[indx[21], indx[34]] = -(0)
    dfdy[indx[21], indx[35]] = -(0)
    dfdy[indx[21], indx[36]] = -(0)
    dfdy[indx[21], indx[37]] = -(0)
    dfdy[indx[21], indx[38]] = -(0)
    dfdy[indx[21], indx[39]] = -(0)
    dfdy[indx[21], indx[40]] = -(0)
    dfdy[indx[21], indx[41]] = -(0)
    dfdy[indx[21], indx[42]] = -(0)
    dfdy[indx[21], indx[43]] = -(0)
    dfdy[indx[21], indx[44]] = -(0)
    dfdy[indx[21], indx[45]] = -(0)
    dfdy[indx[21], indx[46]] = -(0)
    dfdy[indx[21], indx[47]] = -(0)
    dfdy[indx[21], indx[48]] = -(0)
    dfdy[indx[21], indx[49]] = -(0)
    dfdy[indx[21], indx[50]] = -(0)
    dfdy[indx[21], indx[51]] = -(0)
    dfdy[indx[21], indx[52]] = -(0)
    dfdy[indx[22], indx[0]] = -(0)
    dfdy[indx[22], indx[1]] = -(M*k[533]*y[:,9] - k[225]*y[:,22] + k[257]*y[:,20] + k[59]*y[:,7])
    dfdy[indx[22], indx[2]] = -(-k[342]*y[:,22] + k[52]*y[:,24] - k[56]*y[:,22] - k[60]*y[:,22] - k[654]*y[:,22])
    dfdy[indx[22], indx[3]] = -(k[134]*y[:,9])
    dfdy[indx[22], indx[4]] = -(-k[231]*y[:,22])
    dfdy[indx[22], indx[5]] = -(k[50]*y[:,23])
    dfdy[indx[22], indx[6]] = -(k[206]*y[:,30] - k[233]*y[:,22])
    dfdy[indx[22], indx[7]] = -(-k[49]*y[:,22] - k[51]*y[:,22] + k[55]*y[:,23] + k[59]*y[:,1])
    dfdy[indx[22], indx[8]] = -(k[341]*y[:,9])
    dfdy[indx[22], indx[9]] = -(M*k[525]*y[:,23] + M*k[533]*y[:,1] + k[100]*y[:,25] + k[134]*y[:,3] + 4*k[220]*y[:,30]*y[:,9] + k[224]*y[:,30] + k[226]*y[:,30] + k[230]*y[:,21] + k[232]*y[:,21] + k[234]*y[:,11] - k[235]*y[:,22] - k[258]*y[:,22] + k[341]*y[:,8] - 2*k[648]*y[:,22]*y[:,9])
    dfdy[indx[22], indx[10]] = -(-k[133]*y[:,22] - k[135]*y[:,22] + k[407]*y[:,24])
    dfdy[indx[22], indx[11]] = -(k[176]*y[:,24] - k[180]*y[:,22] + k[204]*y[:,23] + k[234]*y[:,9])
    dfdy[indx[22], indx[12]] = -(0)
    dfdy[indx[22], indx[13]] = -(-k[101]*y[:,22] + k[136]*y[:,23] - k[408]*y[:,22] + k[413]*y[:,24] - k[99]*y[:,22])
    dfdy[indx[22], indx[14]] = -(-k[203]*y[:,22] - k[205]*y[:,22])
    dfdy[indx[22], indx[15]] = -(k[102]*y[:,23] - k[414]*y[:,22])
    dfdy[indx[22], indx[16]] = -(0)
    dfdy[indx[22], indx[17]] = -(-k[227]*y[:,22])
    dfdy[indx[22], indx[18]] = -(0)
    dfdy[indx[22], indx[19]] = -(-k[229]*y[:,22])
    dfdy[indx[22], indx[20]] = -(k[228]*y[:,21] + k[236]*y[:,23] + k[257]*y[:,1])
    dfdy[indx[22], indx[21]] = -(-k[175]*y[:,22] + k[179]*y[:,23] + k[228]*y[:,20] + k[230]*y[:,9] + k[232]*y[:,9])
    dfdy[indx[22], indx[22]] = -(-M*k[526] - M*k[534] - k[101]*y[:,13] - k[133]*y[:,10] - k[135]*y[:,10] - k[175]*y[:,21] - k[180]*y[:,11] - k[203]*y[:,14] - k[205]*y[:,14] - 4*k[219]*y[:,22] - 4*k[221]*y[:,22] - k[223]*y[:,23] - k[225]*y[:,1] - k[227]*y[:,17] - k[229]*y[:,19] - k[231]*y[:,4] - k[233]*y[:,6] - k[235]*y[:,9] - k[258]*y[:,9] - k[342]*y[:,2] - k[408]*y[:,13] - k[414]*y[:,15] - k[49]*y[:,7] - k[51]*y[:,7] - k[56]*y[:,2] - k[60]*y[:,2] - k[648]*y[:,9]**2 - k[654]*y[:,2] - k[99]*y[:,13])
    dfdy[indx[22], indx[23]] = -(M*k[525]*y[:,9] + k[102]*y[:,15] + k[136]*y[:,13] + k[179]*y[:,21] + k[204]*y[:,11] + 2*k[222]*y[:,24] - k[223]*y[:,22] + k[236]*y[:,20] + k[50]*y[:,5] + k[55]*y[:,7])
    dfdy[indx[22], indx[24]] = -(k[176]*y[:,11] + 2*k[222]*y[:,23] + k[407]*y[:,10] + k[413]*y[:,13] + k[52]*y[:,2])
    dfdy[indx[22], indx[25]] = -(k[100]*y[:,9])
    dfdy[indx[22], indx[26]] = -(0)
    dfdy[indx[22], indx[27]] = -(0)
    dfdy[indx[22], indx[28]] = -(0)
    dfdy[indx[22], indx[29]] = -(0)
    dfdy[indx[22], indx[30]] = -(k[206]*y[:,6] + 2*k[220]*y[:,9]**2 + k[224]*y[:,9] + k[226]*y[:,9])
    dfdy[indx[22], indx[31]] = -(0)
    dfdy[indx[22], indx[32]] = -(0)
    dfdy[indx[22], indx[33]] = -(0)
    dfdy[indx[22], indx[34]] = -(0)
    dfdy[indx[22], indx[35]] = -(0)
    dfdy[indx[22], indx[36]] = -(0)
    dfdy[indx[22], indx[37]] = -(0)
    dfdy[indx[22], indx[38]] = -(0)
    dfdy[indx[22], indx[39]] = -(0)
    dfdy[indx[22], indx[40]] = -(0)
    dfdy[indx[22], indx[41]] = -(0)
    dfdy[indx[22], indx[42]] = -(0)
    dfdy[indx[22], indx[43]] = -(k[647])
    dfdy[indx[22], indx[44]] = -(0)
    dfdy[indx[22], indx[45]] = -(0)
    dfdy[indx[22], indx[46]] = -(0)
    dfdy[indx[22], indx[47]] = -(0)
    dfdy[indx[22], indx[48]] = -(0)
    dfdy[indx[22], indx[49]] = -(0)
    dfdy[indx[22], indx[50]] = -(k[653])
    dfdy[indx[22], indx[51]] = -(0)
    dfdy[indx[22], indx[52]] = -(0)
    dfdy[indx[23], indx[0]] = -(0)
    dfdy[indx[23], indx[1]] = -(M*k[561])
    dfdy[indx[23], indx[2]] = -(-k[130]*y[:,23] + k[56]*y[:,22])
    dfdy[indx[23], indx[3]] = -(M*k[484] + k[104]*y[:,9] - k[345]*y[:,23] + k[350]*y[:,10] + k[651])
    dfdy[indx[23], indx[4]] = -(-k[241]*y[:,23])
    dfdy[indx[23], indx[5]] = -(-k[50]*y[:,23])
    dfdy[indx[23], indx[6]] = -(-k[243]*y[:,23])
    dfdy[indx[23], indx[7]] = -(k[442]*y[:,11]*y[:,20] + k[49]*y[:,22] - k[53]*y[:,23] - k[55]*y[:,23])
    dfdy[indx[23], indx[8]] = -(k[54]*y[:,9])
    dfdy[indx[23], indx[9]] = -(-M*k[525]*y[:,23] + k[104]*y[:,3] + k[224]*y[:,30] + k[235]*y[:,22] + k[238]*y[:,21] + k[240]*y[:,11] + 2*k[242]*y[:,14]*y[:,9] + k[244]*y[:,14] + k[54]*y[:,8])
    dfdy[indx[23], indx[10]] = -(-M*k[483]*y[:,23] + k[129]*y[:,14] + k[135]*y[:,22] + k[346]*y[:,30] + k[350]*y[:,3] - k[652]*y[:,23])
    dfdy[indx[23], indx[11]] = -(k[180]*y[:,22] - k[204]*y[:,23] + k[240]*y[:,9] + k[370]*y[:,17] + k[442]*y[:,20]*y[:,7])
    dfdy[indx[23], indx[12]] = -(0)
    dfdy[indx[23], indx[13]] = -(k[101]*y[:,22] - k[103]*y[:,23] - k[136]*y[:,23])
    dfdy[indx[23], indx[14]] = -(k[129]*y[:,10] + k[203]*y[:,22] - k[207]*y[:,23] + k[242]*y[:,9]**2 + k[244]*y[:,9])
    dfdy[indx[23], indx[15]] = -(-k[102]*y[:,23])
    dfdy[indx[23], indx[16]] = -(0)
    dfdy[indx[23], indx[17]] = -(-k[237]*y[:,23] + k[370]*y[:,11] + k[448]*y[:,25])
    dfdy[indx[23], indx[18]] = -(0)
    dfdy[indx[23], indx[19]] = -(-M*k[521]*y[:,23] + k[178]*y[:,30] - k[239]*y[:,23])
    dfdy[indx[23], indx[20]] = -(-k[236]*y[:,23] + k[442]*y[:,11]*y[:,7])
    dfdy[indx[23], indx[21]] = -(M*k[522] - k[177]*y[:,23] - k[179]*y[:,23] + k[238]*y[:,9])
    dfdy[indx[23], indx[22]] = -(M*k[526] + k[101]*y[:,13] + k[135]*y[:,10] + k[180]*y[:,11] + k[203]*y[:,14] + 2*k[221]*y[:,22] - k[223]*y[:,23] + k[235]*y[:,9] + k[49]*y[:,7] + k[56]*y[:,2])
    dfdy[indx[23], indx[23]] = -(-M*k[483]*y[:,10] - M*k[521]*y[:,19] - 4*M*k[523]*y[:,23] - M*k[525]*y[:,9] - M*k[562] - k[102]*y[:,15] - k[103]*y[:,13] - k[130]*y[:,2] - k[136]*y[:,13] - k[177]*y[:,21] - k[179]*y[:,21] - k[204]*y[:,11] - k[207]*y[:,14] - k[222]*y[:,24] - k[223]*y[:,22] - k[236]*y[:,20] - k[237]*y[:,17] - k[239]*y[:,19] - k[241]*y[:,4] - k[243]*y[:,6] - k[345]*y[:,3] - k[349]*y[:,27] - k[369]*y[:,33] - k[441]*y[:,44] - k[447]*y[:,45] - k[50]*y[:,5] - k[53]*y[:,7] - k[55]*y[:,7] - 4*k[644]*y[:,23] - k[652]*y[:,10])
    dfdy[indx[23], indx[24]] = -(-k[222]*y[:,23])
    dfdy[indx[23], indx[25]] = -(k[448]*y[:,17])
    dfdy[indx[23], indx[26]] = -(0)
    dfdy[indx[23], indx[27]] = -(-k[349]*y[:,23])
    dfdy[indx[23], indx[28]] = -(0)
    dfdy[indx[23], indx[29]] = -(k[208]*y[:,30])
    dfdy[indx[23], indx[30]] = -(2*M*k[524] + k[178]*y[:,19] + k[208]*y[:,29] + k[224]*y[:,9] + k[346]*y[:,10] + 2*k[643])
    dfdy[indx[23], indx[31]] = -(0)
    dfdy[indx[23], indx[32]] = -(0)
    dfdy[indx[23], indx[33]] = -(-k[369]*y[:,23])
    dfdy[indx[23], indx[34]] = -(0)
    dfdy[indx[23], indx[35]] = -(0)
    dfdy[indx[23], indx[36]] = -(0)
    dfdy[indx[23], indx[37]] = -(0)
    dfdy[indx[23], indx[38]] = -(0)
    dfdy[indx[23], indx[39]] = -(0)
    dfdy[indx[23], indx[40]] = -(0)
    dfdy[indx[23], indx[41]] = -(0)
    dfdy[indx[23], indx[42]] = -(0)
    dfdy[indx[23], indx[43]] = -(0)
    dfdy[indx[23], indx[44]] = -(-k[441]*y[:,23])
    dfdy[indx[23], indx[45]] = -(-k[447]*y[:,23])
    dfdy[indx[23], indx[46]] = -(0)
    dfdy[indx[23], indx[47]] = -(0)
    dfdy[indx[23], indx[48]] = -(0)
    dfdy[indx[23], indx[49]] = -(0)
    dfdy[indx[23], indx[50]] = -(0)
    dfdy[indx[23], indx[51]] = -(0)
    dfdy[indx[23], indx[52]] = -(0)
    dfdy[indx[24], indx[0]] = -(0)
    dfdy[indx[24], indx[1]] = -(0)
    dfdy[indx[24], indx[2]] = -(-k[52]*y[:,24])
    dfdy[indx[24], indx[3]] = -(k[410]*y[:,20] - k[411]*y[:,24])
    dfdy[indx[24], indx[4]] = -(0)
    dfdy[indx[24], indx[5]] = -(0)
    dfdy[indx[24], indx[6]] = -(0)
    dfdy[indx[24], indx[7]] = -(k[51]*y[:,22])
    dfdy[indx[24], indx[8]] = -(0)
    dfdy[indx[24], indx[9]] = -(k[406]*y[:,25] + k[420]*y[:,43] + k[422]*y[:,33]*y[:,43] - k[646]*y[:,24])
    dfdy[indx[24], indx[10]] = -(-k[405]*y[:,24] - k[407]*y[:,24] - k[409]*y[:,24] + k[435]*y[:,43])
    dfdy[indx[24], indx[11]] = -(-k[176]*y[:,24] - k[440]*y[:,24])
    dfdy[indx[24], indx[12]] = -(0)
    dfdy[indx[24], indx[13]] = -(k[408]*y[:,22] - k[413]*y[:,24] - k[436]*y[:,24] + k[437]*y[:,43])
    dfdy[indx[24], indx[14]] = -(k[439]*y[:,43])
    dfdy[indx[24], indx[15]] = -(k[412]*y[:,30] + k[414]*y[:,22] + k[416]*y[:,25] - k[438]*y[:,24])
    dfdy[indx[24], indx[16]] = -(0)
    dfdy[indx[24], indx[17]] = -(k[424]*y[:,43])
    dfdy[indx[24], indx[18]] = -(-k[423]*y[:,24])
    dfdy[indx[24], indx[19]] = -(0)
    dfdy[indx[24], indx[20]] = -(k[410]*y[:,3] - k[419]*y[:,24])
    dfdy[indx[24], indx[21]] = -(k[175]*y[:,22])
    dfdy[indx[24], indx[22]] = -(k[175]*y[:,21] + 2*k[221]*y[:,22] + k[408]*y[:,13] + k[414]*y[:,15] + k[51]*y[:,7])
    dfdy[indx[24], indx[23]] = -(-k[222]*y[:,24])
    dfdy[indx[24], indx[24]] = -(-k[176]*y[:,11] - k[222]*y[:,23] - k[405]*y[:,10] - k[407]*y[:,10] - k[409]*y[:,10] - k[411]*y[:,3] - k[413]*y[:,13] - k[415]*y[:,36] - k[417]*y[:,36] - k[419]*y[:,20] - k[421]*y[:,40] - k[423]*y[:,18] - k[436]*y[:,13] - k[438]*y[:,15] - k[440]*y[:,11] - k[52]*y[:,2] - k[646]*y[:,9])
    dfdy[indx[24], indx[25]] = -(k[406]*y[:,9] + k[416]*y[:,15])
    dfdy[indx[24], indx[26]] = -(0)
    dfdy[indx[24], indx[27]] = -(k[418]*y[:,43])
    dfdy[indx[24], indx[28]] = -(0)
    dfdy[indx[24], indx[29]] = -(0)
    dfdy[indx[24], indx[30]] = -(k[412]*y[:,15])
    dfdy[indx[24], indx[31]] = -(0)
    dfdy[indx[24], indx[32]] = -(0)
    dfdy[indx[24], indx[33]] = -(k[422]*y[:,43]*y[:,9])
    dfdy[indx[24], indx[34]] = -(0)
    dfdy[indx[24], indx[35]] = -(0)
    dfdy[indx[24], indx[36]] = -(-k[415]*y[:,24] - k[417]*y[:,24])
    dfdy[indx[24], indx[37]] = -(0)
    dfdy[indx[24], indx[38]] = -(0)
    dfdy[indx[24], indx[39]] = -(0)
    dfdy[indx[24], indx[40]] = -(-k[421]*y[:,24])
    dfdy[indx[24], indx[41]] = -(0)
    dfdy[indx[24], indx[42]] = -(0)
    dfdy[indx[24], indx[43]] = -(k[418]*y[:,27] + k[420]*y[:,9] + k[422]*y[:,33]*y[:,9] + k[424]*y[:,17] + k[435]*y[:,10] + k[437]*y[:,13] + k[439]*y[:,14] + k[645])
    dfdy[indx[24], indx[44]] = -(0)
    dfdy[indx[24], indx[45]] = -(0)
    dfdy[indx[24], indx[46]] = -(0)
    dfdy[indx[24], indx[47]] = -(0)
    dfdy[indx[24], indx[48]] = -(0)
    dfdy[indx[24], indx[49]] = -(0)
    dfdy[indx[24], indx[50]] = -(0)
    dfdy[indx[24], indx[51]] = -(0)
    dfdy[indx[24], indx[52]] = -(0)
    dfdy[indx[25], indx[0]] = -(0)
    dfdy[indx[25], indx[1]] = -(k[83]*y[:,15])
    dfdy[indx[25], indx[2]] = -(0)
    dfdy[indx[25], indx[3]] = -(k[426]*y[:,13] + k[428]*y[:,20] + k[430]*y[:,15] + k[432]*y[:,5] + k[434]*y[:,11])
    dfdy[indx[25], indx[4]] = -(0)
    dfdy[indx[25], indx[5]] = -(k[432]*y[:,3])
    dfdy[indx[25], indx[6]] = -(0)
    dfdy[indx[25], indx[7]] = -(-k[431]*y[:,25])
    dfdy[indx[25], indx[8]] = -(0)
    dfdy[indx[25], indx[9]] = -(-k[100]*y[:,25] - k[406]*y[:,25] - k[427]*y[:,25] - k[84]*y[:,25])
    dfdy[indx[25], indx[10]] = -(k[405]*y[:,24] - k[425]*y[:,25])
    dfdy[indx[25], indx[11]] = -(k[434]*y[:,3])
    dfdy[indx[25], indx[12]] = -(0)
    dfdy[indx[25], indx[13]] = -(k[426]*y[:,3] - k[429]*y[:,25] + k[99]*y[:,22])
    dfdy[indx[25], indx[14]] = -(-k[433]*y[:,25])
    dfdy[indx[25], indx[15]] = -(-k[416]*y[:,25] + k[430]*y[:,3] + k[83]*y[:,1])
    dfdy[indx[25], indx[16]] = -(0)
    dfdy[indx[25], indx[17]] = -(-k[448]*y[:,25])
    dfdy[indx[25], indx[18]] = -(0)
    dfdy[indx[25], indx[19]] = -(0)
    dfdy[indx[25], indx[20]] = -(k[428]*y[:,3])
    dfdy[indx[25], indx[21]] = -(0)
    dfdy[indx[25], indx[22]] = -(k[99]*y[:,13])
    dfdy[indx[25], indx[23]] = -(k[447]*y[:,45])
    dfdy[indx[25], indx[24]] = -(k[405]*y[:,10] + k[415]*y[:,36])
    dfdy[indx[25], indx[25]] = -(-k[100]*y[:,9] - k[406]*y[:,9] - k[416]*y[:,15] - k[425]*y[:,10] - k[427]*y[:,9] - k[429]*y[:,13] - k[431]*y[:,7] - k[433]*y[:,14] - k[448]*y[:,17] - k[84]*y[:,9])
    dfdy[indx[25], indx[26]] = -(0)
    dfdy[indx[25], indx[27]] = -(0)
    dfdy[indx[25], indx[28]] = -(0)
    dfdy[indx[25], indx[29]] = -(0)
    dfdy[indx[25], indx[30]] = -(0)
    dfdy[indx[25], indx[31]] = -(0)
    dfdy[indx[25], indx[32]] = -(0)
    dfdy[indx[25], indx[33]] = -(0)
    dfdy[indx[25], indx[34]] = -(0)
    dfdy[indx[25], indx[35]] = -(0)
    dfdy[indx[25], indx[36]] = -(k[415]*y[:,24])
    dfdy[indx[25], indx[37]] = -(0)
    dfdy[indx[25], indx[38]] = -(0)
    dfdy[indx[25], indx[39]] = -(0)
    dfdy[indx[25], indx[40]] = -(0)
    dfdy[indx[25], indx[41]] = -(0)
    dfdy[indx[25], indx[42]] = -(0)
    dfdy[indx[25], indx[43]] = -(0)
    dfdy[indx[25], indx[44]] = -(0)
    dfdy[indx[25], indx[45]] = -(k[447]*y[:,23])
    dfdy[indx[25], indx[46]] = -(0)
    dfdy[indx[25], indx[47]] = -(0)
    dfdy[indx[25], indx[48]] = -(0)
    dfdy[indx[25], indx[49]] = -(0)
    dfdy[indx[25], indx[50]] = -(0)
    dfdy[indx[25], indx[51]] = -(0)
    dfdy[indx[25], indx[52]] = -(0)
    dfdy[indx[26], indx[0]] = -(0)
    dfdy[indx[26], indx[1]] = -(0)
    dfdy[indx[26], indx[2]] = -(0)
    dfdy[indx[26], indx[3]] = -(0)
    dfdy[indx[26], indx[4]] = -(0)
    dfdy[indx[26], indx[5]] = -(0)
    dfdy[indx[26], indx[6]] = -(0)
    dfdy[indx[26], indx[7]] = -(0)
    dfdy[indx[26], indx[8]] = -(0)
    dfdy[indx[26], indx[9]] = -(-k[88]*y[:,26])
    dfdy[indx[26], indx[10]] = -(0)
    dfdy[indx[26], indx[11]] = -(k[87]*y[:,13])
    dfdy[indx[26], indx[12]] = -(0)
    dfdy[indx[26], indx[13]] = -(M*k[467]*y[:,14] + k[87]*y[:,11])
    dfdy[indx[26], indx[14]] = -(M*k[467]*y[:,13])
    dfdy[indx[26], indx[15]] = -(0)
    dfdy[indx[26], indx[16]] = -(0)
    dfdy[indx[26], indx[17]] = -(0)
    dfdy[indx[26], indx[18]] = -(0)
    dfdy[indx[26], indx[19]] = -(0)
    dfdy[indx[26], indx[20]] = -(0)
    dfdy[indx[26], indx[21]] = -(0)
    dfdy[indx[26], indx[22]] = -(0)
    dfdy[indx[26], indx[23]] = -(0)
    dfdy[indx[26], indx[24]] = -(0)
    dfdy[indx[26], indx[25]] = -(0)
    dfdy[indx[26], indx[26]] = -(-M*k[468] - k[88]*y[:,9])
    dfdy[indx[26], indx[27]] = -(0)
    dfdy[indx[26], indx[28]] = -(0)
    dfdy[indx[26], indx[29]] = -(0)
    dfdy[indx[26], indx[30]] = -(0)
    dfdy[indx[26], indx[31]] = -(0)
    dfdy[indx[26], indx[32]] = -(0)
    dfdy[indx[26], indx[33]] = -(0)
    dfdy[indx[26], indx[34]] = -(0)
    dfdy[indx[26], indx[35]] = -(0)
    dfdy[indx[26], indx[36]] = -(0)
    dfdy[indx[26], indx[37]] = -(0)
    dfdy[indx[26], indx[38]] = -(0)
    dfdy[indx[26], indx[39]] = -(0)
    dfdy[indx[26], indx[40]] = -(0)
    dfdy[indx[26], indx[41]] = -(0)
    dfdy[indx[26], indx[42]] = -(0)
    dfdy[indx[26], indx[43]] = -(0)
    dfdy[indx[26], indx[44]] = -(0)
    dfdy[indx[26], indx[45]] = -(0)
    dfdy[indx[26], indx[46]] = -(0)
    dfdy[indx[26], indx[47]] = -(0)
    dfdy[indx[26], indx[48]] = -(0)
    dfdy[indx[26], indx[49]] = -(0)
    dfdy[indx[26], indx[50]] = -(0)
    dfdy[indx[26], indx[51]] = -(0)
    dfdy[indx[26], indx[52]] = -(0)
    dfdy[indx[27], indx[0]] = -(k[328]*y[:,3])
    dfdy[indx[27], indx[1]] = -(0)
    dfdy[indx[27], indx[2]] = -(k[302]*y[:,10] + k[330]*y[:,13] + k[332]*y[:,36] + k[336]*y[:,7])
    dfdy[indx[27], indx[3]] = -(k[328]*y[:,0] + k[350]*y[:,10])
    dfdy[indx[27], indx[4]] = -(0)
    dfdy[indx[27], indx[5]] = -(0)
    dfdy[indx[27], indx[6]] = -(-k[329]*y[:,27])
    dfdy[indx[27], indx[7]] = -(-k[331]*y[:,27] + k[336]*y[:,2])
    dfdy[indx[27], indx[8]] = -(-k[327]*y[:,27] + k[338]*y[:,10])
    dfdy[indx[27], indx[9]] = -(-M*k[569]*y[:,27] + k[311]*y[:,36] - k[96]*y[:,27] - k[98]*y[:,27])
    dfdy[indx[27], indx[10]] = -(2*M*k[481]*y[:,10] + k[302]*y[:,2] + k[305]*y[:,36] + k[334]*y[:,37] + k[338]*y[:,8] + k[350]*y[:,3] + 2*k[626]*y[:,10] + k[628]*y[:,16] + k[95]*y[:,13])
    dfdy[indx[27], indx[11]] = -(0)
    dfdy[indx[27], indx[12]] = -(0)
    dfdy[indx[27], indx[13]] = -(-k[306]*y[:,27] + k[313]*y[:,36] + k[330]*y[:,2] + k[95]*y[:,10] + k[97]*y[:,16])
    dfdy[indx[27], indx[14]] = -(-k[337]*y[:,27])
    dfdy[indx[27], indx[15]] = -(-k[314]*y[:,27])
    dfdy[indx[27], indx[16]] = -(2*M*k[495]*y[:,16] + k[628]*y[:,10] + k[97]*y[:,13])
    dfdy[indx[27], indx[17]] = -(0)
    dfdy[indx[27], indx[18]] = -(0)
    dfdy[indx[27], indx[19]] = -(0)
    dfdy[indx[27], indx[20]] = -(-k[312]*y[:,27])
    dfdy[indx[27], indx[21]] = -(0)
    dfdy[indx[27], indx[22]] = -(0)
    dfdy[indx[27], indx[23]] = -(-k[349]*y[:,27])
    dfdy[indx[27], indx[24]] = -(k[417]*y[:,36])
    dfdy[indx[27], indx[25]] = -(0)
    dfdy[indx[27], indx[26]] = -(0)
    dfdy[indx[27], indx[27]] = -(-M*k[482] - M*k[496] - M*k[569]*y[:,9] - k[301]*y[:,29] - k[306]*y[:,13] - k[312]*y[:,20] - k[314]*y[:,15] - k[327]*y[:,8] - k[329]*y[:,6] - k[331]*y[:,7] - k[333]*y[:,35] - k[335]*y[:,35] - k[337]*y[:,14] - k[349]*y[:,23] - k[418]*y[:,43] - k[625] - k[627] - k[96]*y[:,9] - k[98]*y[:,9])
    dfdy[indx[27], indx[28]] = -(0)
    dfdy[indx[27], indx[29]] = -(-k[301]*y[:,27])
    dfdy[indx[27], indx[30]] = -(0)
    dfdy[indx[27], indx[31]] = -(0)
    dfdy[indx[27], indx[32]] = -(0)
    dfdy[indx[27], indx[33]] = -(0)
    dfdy[indx[27], indx[34]] = -(0)
    dfdy[indx[27], indx[35]] = -(-k[333]*y[:,27] - k[335]*y[:,27])
    dfdy[indx[27], indx[36]] = -(M*k[570] + k[305]*y[:,10] + k[311]*y[:,9] + k[313]*y[:,13] + k[332]*y[:,2] + k[417]*y[:,24])
    dfdy[indx[27], indx[37]] = -(k[334]*y[:,10])
    dfdy[indx[27], indx[38]] = -(0)
    dfdy[indx[27], indx[39]] = -(0)
    dfdy[indx[27], indx[40]] = -(0)
    dfdy[indx[27], indx[41]] = -(0)
    dfdy[indx[27], indx[42]] = -(0)
    dfdy[indx[27], indx[43]] = -(-k[418]*y[:,27])
    dfdy[indx[27], indx[44]] = -(0)
    dfdy[indx[27], indx[45]] = -(0)
    dfdy[indx[27], indx[46]] = -(0)
    dfdy[indx[27], indx[47]] = -(0)
    dfdy[indx[27], indx[48]] = -(0)
    dfdy[indx[27], indx[49]] = -(0)
    dfdy[indx[27], indx[50]] = -(0)
    dfdy[indx[27], indx[51]] = -(0)
    dfdy[indx[27], indx[52]] = -(0)
    dfdy[indx[28], indx[0]] = -(0)
    dfdy[indx[28], indx[1]] = -(M*k[455]*y[:,7])
    dfdy[indx[28], indx[2]] = -(-k[322]*y[:,28])
    dfdy[indx[28], indx[3]] = -(k[321]*y[:,37])
    dfdy[indx[28], indx[4]] = -(0)
    dfdy[indx[28], indx[5]] = -(0)
    dfdy[indx[28], indx[6]] = -(0)
    dfdy[indx[28], indx[7]] = -(M*k[455]*y[:,1])
    dfdy[indx[28], indx[8]] = -(0)
    dfdy[indx[28], indx[9]] = -(-k[126]*y[:,28] - k[156]*y[:,28])
    dfdy[indx[28], indx[10]] = -(k[125]*y[:,21])
    dfdy[indx[28], indx[11]] = -(M*k[491]*y[:,16])
    dfdy[indx[28], indx[12]] = -(0)
    dfdy[indx[28], indx[13]] = -(0)
    dfdy[indx[28], indx[14]] = -(0)
    dfdy[indx[28], indx[15]] = -(0)
    dfdy[indx[28], indx[16]] = -(M*k[491]*y[:,11] + k[155]*y[:,21])
    dfdy[indx[28], indx[17]] = -(0)
    dfdy[indx[28], indx[18]] = -(0)
    dfdy[indx[28], indx[19]] = -(0)
    dfdy[indx[28], indx[20]] = -(0)
    dfdy[indx[28], indx[21]] = -(k[125]*y[:,10] + k[155]*y[:,16])
    dfdy[indx[28], indx[22]] = -(0)
    dfdy[indx[28], indx[23]] = -(0)
    dfdy[indx[28], indx[24]] = -(0)
    dfdy[indx[28], indx[25]] = -(0)
    dfdy[indx[28], indx[26]] = -(0)
    dfdy[indx[28], indx[27]] = -(0)
    dfdy[indx[28], indx[28]] = -(-M*k[456] - M*k[492] - k[126]*y[:,9] - k[156]*y[:,9] - k[322]*y[:,2])
    dfdy[indx[28], indx[29]] = -(0)
    dfdy[indx[28], indx[30]] = -(0)
    dfdy[indx[28], indx[31]] = -(0)
    dfdy[indx[28], indx[32]] = -(0)
    dfdy[indx[28], indx[33]] = -(0)
    dfdy[indx[28], indx[34]] = -(0)
    dfdy[indx[28], indx[35]] = -(0)
    dfdy[indx[28], indx[36]] = -(0)
    dfdy[indx[28], indx[37]] = -(k[321]*y[:,3])
    dfdy[indx[28], indx[38]] = -(0)
    dfdy[indx[28], indx[39]] = -(0)
    dfdy[indx[28], indx[40]] = -(0)
    dfdy[indx[28], indx[41]] = -(0)
    dfdy[indx[28], indx[42]] = -(0)
    dfdy[indx[28], indx[43]] = -(0)
    dfdy[indx[28], indx[44]] = -(0)
    dfdy[indx[28], indx[45]] = -(0)
    dfdy[indx[28], indx[46]] = -(0)
    dfdy[indx[28], indx[47]] = -(0)
    dfdy[indx[28], indx[48]] = -(0)
    dfdy[indx[28], indx[49]] = -(0)
    dfdy[indx[28], indx[50]] = -(0)
    dfdy[indx[28], indx[51]] = -(0)
    dfdy[indx[28], indx[52]] = -(0)
    dfdy[indx[29], indx[0]] = -(0)
    dfdy[indx[29], indx[1]] = -(k[209]*y[:,14])
    dfdy[indx[29], indx[2]] = -(k[302]*y[:,10] + k[591])
    dfdy[indx[29], indx[3]] = -(-k[303]*y[:,29])
    dfdy[indx[29], indx[4]] = -(0)
    dfdy[indx[29], indx[5]] = -(0)
    dfdy[indx[29], indx[6]] = -(k[149]*y[:,10] + k[215]*y[:,14] + k[299]*y[:,9] + k[659])
    dfdy[indx[29], indx[7]] = -(0)
    dfdy[indx[29], indx[8]] = -(0)
    dfdy[indx[29], indx[9]] = -(k[299]*y[:,6] - k[660]*y[:,29])
    dfdy[indx[29], indx[10]] = -(k[149]*y[:,6] + k[302]*y[:,2] + k[304]*y[:,14] - k[592]*y[:,29])
    dfdy[indx[29], indx[11]] = -(-k[216]*y[:,29])
    dfdy[indx[29], indx[12]] = -(0)
    dfdy[indx[29], indx[13]] = -(-k[150]*y[:,29])
    dfdy[indx[29], indx[14]] = -(k[207]*y[:,23] + k[209]*y[:,1] + k[215]*y[:,6] + k[304]*y[:,10])
    dfdy[indx[29], indx[15]] = -(0)
    dfdy[indx[29], indx[16]] = -(0)
    dfdy[indx[29], indx[17]] = -(0)
    dfdy[indx[29], indx[18]] = -(0)
    dfdy[indx[29], indx[19]] = -(M*k[568])
    dfdy[indx[29], indx[20]] = -(-M*k[567]*y[:,29] - k[300]*y[:,29])
    dfdy[indx[29], indx[21]] = -(0)
    dfdy[indx[29], indx[22]] = -(0)
    dfdy[indx[29], indx[23]] = -(k[207]*y[:,14])
    dfdy[indx[29], indx[24]] = -(0)
    dfdy[indx[29], indx[25]] = -(0)
    dfdy[indx[29], indx[26]] = -(0)
    dfdy[indx[29], indx[27]] = -(-k[301]*y[:,29])
    dfdy[indx[29], indx[28]] = -(0)
    dfdy[indx[29], indx[29]] = -(-M*k[567]*y[:,20] - k[150]*y[:,13] - k[208]*y[:,30] - k[210]*y[:,30] - k[216]*y[:,11] - k[300]*y[:,20] - k[301]*y[:,27] - k[303]*y[:,3] - k[592]*y[:,10] - k[660]*y[:,9])
    dfdy[indx[29], indx[30]] = -(-k[208]*y[:,29] - k[210]*y[:,29])
    dfdy[indx[29], indx[31]] = -(0)
    dfdy[indx[29], indx[32]] = -(0)
    dfdy[indx[29], indx[33]] = -(0)
    dfdy[indx[29], indx[34]] = -(0)
    dfdy[indx[29], indx[35]] = -(0)
    dfdy[indx[29], indx[36]] = -(0)
    dfdy[indx[29], indx[37]] = -(0)
    dfdy[indx[29], indx[38]] = -(0)
    dfdy[indx[29], indx[39]] = -(0)
    dfdy[indx[29], indx[40]] = -(0)
    dfdy[indx[29], indx[41]] = -(0)
    dfdy[indx[29], indx[42]] = -(0)
    dfdy[indx[29], indx[43]] = -(0)
    dfdy[indx[29], indx[44]] = -(0)
    dfdy[indx[29], indx[45]] = -(0)
    dfdy[indx[29], indx[46]] = -(0)
    dfdy[indx[29], indx[47]] = -(0)
    dfdy[indx[29], indx[48]] = -(0)
    dfdy[indx[29], indx[49]] = -(0)
    dfdy[indx[29], indx[50]] = -(0)
    dfdy[indx[29], indx[51]] = -(0)
    dfdy[indx[29], indx[52]] = -(0)
    dfdy[indx[30], indx[0]] = -(-k[344]*y[:,30])
    dfdy[indx[30], indx[1]] = -(2*M*k[531]*y[:,1] + k[181]*y[:,21] + k[183]*y[:,21] + k[197]*y[:,11] + k[209]*y[:,14] + k[225]*y[:,22] + k[347]*y[:,3])
    dfdy[indx[30], indx[2]] = -(0)
    dfdy[indx[30], indx[3]] = -(k[343]*y[:,8] + k[345]*y[:,23] + k[347]*y[:,1] + k[411]*y[:,24])
    dfdy[indx[30], indx[4]] = -(-k[184]*y[:,30])
    dfdy[indx[30], indx[5]] = -(0)
    dfdy[indx[30], indx[6]] = -(-k[198]*y[:,30] - k[206]*y[:,30])
    dfdy[indx[30], indx[7]] = -(0)
    dfdy[indx[30], indx[8]] = -(k[343]*y[:,3])
    dfdy[indx[30], indx[9]] = -(-2*k[220]*y[:,30]*y[:,9] - k[224]*y[:,30] - k[226]*y[:,30])
    dfdy[indx[30], indx[10]] = -(-k[346]*y[:,30] - k[348]*y[:,30])
    dfdy[indx[30], indx[11]] = -(k[197]*y[:,1])
    dfdy[indx[30], indx[12]] = -(0)
    dfdy[indx[30], indx[13]] = -(0)
    dfdy[indx[30], indx[14]] = -(k[205]*y[:,22] + k[207]*y[:,23] + k[209]*y[:,1])
    dfdy[indx[30], indx[15]] = -(-k[412]*y[:,30])
    dfdy[indx[30], indx[16]] = -(0)
    dfdy[indx[30], indx[17]] = -(0)
    dfdy[indx[30], indx[18]] = -(0)
    dfdy[indx[30], indx[19]] = -(-k[178]*y[:,30] - k[182]*y[:,30])
    dfdy[indx[30], indx[20]] = -(0)
    dfdy[indx[30], indx[21]] = -(k[177]*y[:,23] + k[181]*y[:,1] + k[183]*y[:,1])
    dfdy[indx[30], indx[22]] = -(k[205]*y[:,14] + 2*k[219]*y[:,22] + k[223]*y[:,23] + k[225]*y[:,1])
    dfdy[indx[30], indx[23]] = -(2*M*k[523]*y[:,23] + k[177]*y[:,21] + k[207]*y[:,14] + k[223]*y[:,22] + k[345]*y[:,3] + 2*k[644]*y[:,23])
    dfdy[indx[30], indx[24]] = -(k[411]*y[:,3])
    dfdy[indx[30], indx[25]] = -(0)
    dfdy[indx[30], indx[26]] = -(0)
    dfdy[indx[30], indx[27]] = -(0)
    dfdy[indx[30], indx[28]] = -(0)
    dfdy[indx[30], indx[29]] = -(-k[208]*y[:,30] - k[210]*y[:,30])
    dfdy[indx[30], indx[30]] = -(-M*k[524] - M*k[532] - k[178]*y[:,19] - k[182]*y[:,19] - k[184]*y[:,4] - k[198]*y[:,6] - k[206]*y[:,6] - k[208]*y[:,29] - k[210]*y[:,29] - k[220]*y[:,9]**2 - k[224]*y[:,9] - k[226]*y[:,9] - k[344]*y[:,0] - k[346]*y[:,10] - k[348]*y[:,10] - k[412]*y[:,15] - k[643])
    dfdy[indx[30], indx[31]] = -(0)
    dfdy[indx[30], indx[32]] = -(0)
    dfdy[indx[30], indx[33]] = -(0)
    dfdy[indx[30], indx[34]] = -(0)
    dfdy[indx[30], indx[35]] = -(0)
    dfdy[indx[30], indx[36]] = -(0)
    dfdy[indx[30], indx[37]] = -(0)
    dfdy[indx[30], indx[38]] = -(0)
    dfdy[indx[30], indx[39]] = -(0)
    dfdy[indx[30], indx[40]] = -(0)
    dfdy[indx[30], indx[41]] = -(0)
    dfdy[indx[30], indx[42]] = -(0)
    dfdy[indx[30], indx[43]] = -(0)
    dfdy[indx[30], indx[44]] = -(0)
    dfdy[indx[30], indx[45]] = -(0)
    dfdy[indx[30], indx[46]] = -(0)
    dfdy[indx[30], indx[47]] = -(0)
    dfdy[indx[30], indx[48]] = -(0)
    dfdy[indx[30], indx[49]] = -(0)
    dfdy[indx[30], indx[50]] = -(0)
    dfdy[indx[30], indx[51]] = -(0)
    dfdy[indx[30], indx[52]] = -(0)
    dfdy[indx[31], indx[0]] = -(0)
    dfdy[indx[31], indx[1]] = -(0)
    dfdy[indx[31], indx[2]] = -(0)
    dfdy[indx[31], indx[3]] = -(0)
    dfdy[indx[31], indx[4]] = -(M*k[517]*y[:,14] + k[199]*y[:,11])
    dfdy[indx[31], indx[5]] = -(0)
    dfdy[indx[31], indx[6]] = -(M*k[509]*y[:,11] + k[185]*y[:,21])
    dfdy[indx[31], indx[7]] = -(0)
    dfdy[indx[31], indx[8]] = -(0)
    dfdy[indx[31], indx[9]] = -(-k[186]*y[:,31] - k[200]*y[:,31])
    dfdy[indx[31], indx[10]] = -(0)
    dfdy[indx[31], indx[11]] = -(M*k[509]*y[:,6] + k[199]*y[:,4])
    dfdy[indx[31], indx[12]] = -(0)
    dfdy[indx[31], indx[13]] = -(0)
    dfdy[indx[31], indx[14]] = -(M*k[515]*y[:,19] + M*k[517]*y[:,4])
    dfdy[indx[31], indx[15]] = -(0)
    dfdy[indx[31], indx[16]] = -(0)
    dfdy[indx[31], indx[17]] = -(0)
    dfdy[indx[31], indx[18]] = -(0)
    dfdy[indx[31], indx[19]] = -(M*k[515]*y[:,14])
    dfdy[indx[31], indx[20]] = -(0)
    dfdy[indx[31], indx[21]] = -(k[185]*y[:,6])
    dfdy[indx[31], indx[22]] = -(0)
    dfdy[indx[31], indx[23]] = -(0)
    dfdy[indx[31], indx[24]] = -(0)
    dfdy[indx[31], indx[25]] = -(0)
    dfdy[indx[31], indx[26]] = -(0)
    dfdy[indx[31], indx[27]] = -(0)
    dfdy[indx[31], indx[28]] = -(0)
    dfdy[indx[31], indx[29]] = -(0)
    dfdy[indx[31], indx[30]] = -(0)
    dfdy[indx[31], indx[31]] = -(-M*k[510] - M*k[516] - M*k[518] - k[186]*y[:,9] - k[200]*y[:,9])
    dfdy[indx[31], indx[32]] = -(0)
    dfdy[indx[31], indx[33]] = -(0)
    dfdy[indx[31], indx[34]] = -(0)
    dfdy[indx[31], indx[35]] = -(0)
    dfdy[indx[31], indx[36]] = -(0)
    dfdy[indx[31], indx[37]] = -(0)
    dfdy[indx[31], indx[38]] = -(0)
    dfdy[indx[31], indx[39]] = -(0)
    dfdy[indx[31], indx[40]] = -(0)
    dfdy[indx[31], indx[41]] = -(0)
    dfdy[indx[31], indx[42]] = -(0)
    dfdy[indx[31], indx[43]] = -(0)
    dfdy[indx[31], indx[44]] = -(0)
    dfdy[indx[31], indx[45]] = -(0)
    dfdy[indx[31], indx[46]] = -(0)
    dfdy[indx[31], indx[47]] = -(0)
    dfdy[indx[31], indx[48]] = -(0)
    dfdy[indx[31], indx[49]] = -(0)
    dfdy[indx[31], indx[50]] = -(0)
    dfdy[indx[31], indx[51]] = -(0)
    dfdy[indx[31], indx[52]] = -(0)
    dfdy[indx[32], indx[0]] = -(0)
    dfdy[indx[32], indx[1]] = -(0)
    dfdy[indx[32], indx[2]] = -(0)
    dfdy[indx[32], indx[3]] = -(0)
    dfdy[indx[32], indx[4]] = -(0)
    dfdy[indx[32], indx[5]] = -(0)
    dfdy[indx[32], indx[6]] = -(0)
    dfdy[indx[32], indx[7]] = -(0)
    dfdy[indx[32], indx[8]] = -(0)
    dfdy[indx[32], indx[9]] = -(-k[196]*y[:,32])
    dfdy[indx[32], indx[10]] = -(0)
    dfdy[indx[32], indx[11]] = -(k[195]*y[:,14])
    dfdy[indx[32], indx[12]] = -(0)
    dfdy[indx[32], indx[13]] = -(0)
    dfdy[indx[32], indx[14]] = -(2*M*k[511]*y[:,14] + k[195]*y[:,11])
    dfdy[indx[32], indx[15]] = -(0)
    dfdy[indx[32], indx[16]] = -(0)
    dfdy[indx[32], indx[17]] = -(0)
    dfdy[indx[32], indx[18]] = -(0)
    dfdy[indx[32], indx[19]] = -(0)
    dfdy[indx[32], indx[20]] = -(0)
    dfdy[indx[32], indx[21]] = -(0)
    dfdy[indx[32], indx[22]] = -(0)
    dfdy[indx[32], indx[23]] = -(0)
    dfdy[indx[32], indx[24]] = -(0)
    dfdy[indx[32], indx[25]] = -(0)
    dfdy[indx[32], indx[26]] = -(0)
    dfdy[indx[32], indx[27]] = -(0)
    dfdy[indx[32], indx[28]] = -(0)
    dfdy[indx[32], indx[29]] = -(0)
    dfdy[indx[32], indx[30]] = -(0)
    dfdy[indx[32], indx[31]] = -(0)
    dfdy[indx[32], indx[32]] = -(-M*k[512] - k[196]*y[:,9])
    dfdy[indx[32], indx[33]] = -(0)
    dfdy[indx[32], indx[34]] = -(0)
    dfdy[indx[32], indx[35]] = -(0)
    dfdy[indx[32], indx[36]] = -(0)
    dfdy[indx[32], indx[37]] = -(0)
    dfdy[indx[32], indx[38]] = -(0)
    dfdy[indx[32], indx[39]] = -(0)
    dfdy[indx[32], indx[40]] = -(0)
    dfdy[indx[32], indx[41]] = -(0)
    dfdy[indx[32], indx[42]] = -(0)
    dfdy[indx[32], indx[43]] = -(0)
    dfdy[indx[32], indx[44]] = -(0)
    dfdy[indx[32], indx[45]] = -(0)
    dfdy[indx[32], indx[46]] = -(0)
    dfdy[indx[32], indx[47]] = -(0)
    dfdy[indx[32], indx[48]] = -(0)
    dfdy[indx[32], indx[49]] = -(0)
    dfdy[indx[32], indx[50]] = -(0)
    dfdy[indx[32], indx[51]] = -(0)
    dfdy[indx[32], indx[52]] = -(0)
    dfdy[indx[33], indx[0]] = -(0)
    dfdy[indx[33], indx[1]] = -(-k[451]*y[:,33])
    dfdy[indx[33], indx[2]] = -(0)
    dfdy[indx[33], indx[3]] = -(0)
    dfdy[indx[33], indx[4]] = -(2*M*k[545]*y[:,4] + k[269]*y[:,17])
    dfdy[indx[33], indx[5]] = -(k[368]*y[:,19])
    dfdy[indx[33], indx[6]] = -(k[261]*y[:,18] + k[271]*y[:,17] + k[387]*y[:,40])
    dfdy[indx[33], indx[7]] = -(k[366]*y[:,17])
    dfdy[indx[33], indx[8]] = -(0)
    dfdy[indx[33], indx[9]] = -(-k[262]*y[:,33] - k[268]*y[:,33] - k[270]*y[:,33] + k[372]*y[:,15]*y[:,34] + k[374]*y[:,18]*y[:,34] + k[376]*y[:,39] + k[378]*y[:,11]*y[:,34] - k[380]*y[:,17]*y[:,33] - k[382]*y[:,13]*y[:,33] + k[383]*y[:,40] - k[384]*y[:,20]*y[:,33] - k[386]*y[:,15]*y[:,33] - k[392]*y[:,18]*y[:,33] - k[394]*y[:,33]*y[:,34] - k[396]*y[:,11]*y[:,33] - k[398]*y[:,13]*y[:,33] - k[422]*y[:,33]*y[:,43] + k[452]*y[:,46] + 2*k[604]*y[:,34]*y[:,9] + k[606]*y[:,48] - 2*k[610]*y[:,33]*y[:,9])
    dfdy[indx[33], indx[10]] = -(-k[365]*y[:,33] - k[367]*y[:,33] + k[381]*y[:,40])
    dfdy[indx[33], indx[11]] = -(k[370]*y[:,17] + k[378]*y[:,34]*y[:,9] - k[396]*y[:,33]*y[:,9])
    dfdy[indx[33], indx[12]] = -(0)
    dfdy[indx[33], indx[13]] = -(-k[371]*y[:,33] - k[382]*y[:,33]*y[:,9] + k[385]*y[:,40] - k[398]*y[:,33]*y[:,9])
    dfdy[indx[33], indx[14]] = -(-k[375]*y[:,33] - k[377]*y[:,33] + k[395]*y[:,40])
    dfdy[indx[33], indx[15]] = -(k[372]*y[:,34]*y[:,9] - k[386]*y[:,33]*y[:,9])
    dfdy[indx[33], indx[16]] = -(k[397]*y[:,40])
    dfdy[indx[33], indx[17]] = -(k[267]*y[:,19] + k[269]*y[:,4] + k[271]*y[:,6] + k[366]*y[:,7] + k[370]*y[:,11] - k[373]*y[:,33] - k[380]*y[:,33]*y[:,9] - k[388]*y[:,33] + k[391]*y[:,40])
    dfdy[indx[33], indx[18]] = -(k[261]*y[:,6] + k[374]*y[:,34]*y[:,9] - k[392]*y[:,33]*y[:,9])
    dfdy[indx[33], indx[19]] = -(2*M*k[541]*y[:,19] + k[267]*y[:,17] + k[368]*y[:,5] + k[379]*y[:,40])
    dfdy[indx[33], indx[20]] = -(-k[384]*y[:,33]*y[:,9] + k[602]*y[:,34] - k[608]*y[:,33])
    dfdy[indx[33], indx[21]] = -(0)
    dfdy[indx[33], indx[22]] = -(0)
    dfdy[indx[33], indx[23]] = -(-k[369]*y[:,33])
    dfdy[indx[33], indx[24]] = -(k[421]*y[:,40])
    dfdy[indx[33], indx[25]] = -(0)
    dfdy[indx[33], indx[26]] = -(0)
    dfdy[indx[33], indx[27]] = -(0)
    dfdy[indx[33], indx[28]] = -(0)
    dfdy[indx[33], indx[29]] = -(0)
    dfdy[indx[33], indx[30]] = -(0)
    dfdy[indx[33], indx[31]] = -(0)
    dfdy[indx[33], indx[32]] = -(0)
    dfdy[indx[33], indx[33]] = -(-M*k[542] - M*k[546] - k[262]*y[:,9] - k[268]*y[:,9] - k[270]*y[:,9] - k[272] - k[365]*y[:,10] - k[367]*y[:,10] - k[369]*y[:,23] - k[371]*y[:,13] - k[373]*y[:,17] - k[375]*y[:,14] - k[377]*y[:,14] - k[380]*y[:,17]*y[:,9] - k[382]*y[:,13]*y[:,9] - k[384]*y[:,20]*y[:,9] - k[386]*y[:,15]*y[:,9] - k[388]*y[:,17] - k[392]*y[:,18]*y[:,9] - k[394]*y[:,34]*y[:,9] - k[396]*y[:,11]*y[:,9] - k[398]*y[:,13]*y[:,9] - k[422]*y[:,43]*y[:,9] - k[451]*y[:,1] - k[601] - k[603] - k[605] - k[608]*y[:,20] - k[610]*y[:,9]**2)
    dfdy[indx[33], indx[34]] = -(k[372]*y[:,15]*y[:,9] + k[374]*y[:,18]*y[:,9] + k[378]*y[:,11]*y[:,9] - k[394]*y[:,33]*y[:,9] + k[602]*y[:,20] + k[604]*y[:,9]**2)
    dfdy[indx[33], indx[35]] = -(k[393]*y[:,40])
    dfdy[indx[33], indx[36]] = -(0)
    dfdy[indx[33], indx[37]] = -(0)
    dfdy[indx[33], indx[38]] = -(0)
    dfdy[indx[33], indx[39]] = -(k[376]*y[:,9])
    dfdy[indx[33], indx[40]] = -(k[379]*y[:,19] + k[381]*y[:,10] + k[383]*y[:,9] + k[385]*y[:,13] + k[387]*y[:,6] + k[391]*y[:,17] + k[393]*y[:,35] + k[395]*y[:,14] + k[397]*y[:,16] + k[421]*y[:,24] + k[607] + k[609])
    dfdy[indx[33], indx[41]] = -(0)
    dfdy[indx[33], indx[42]] = -(0)
    dfdy[indx[33], indx[43]] = -(-k[422]*y[:,33]*y[:,9])
    dfdy[indx[33], indx[44]] = -(0)
    dfdy[indx[33], indx[45]] = -(0)
    dfdy[indx[33], indx[46]] = -(k[452]*y[:,9])
    dfdy[indx[33], indx[47]] = -(0)
    dfdy[indx[33], indx[48]] = -(k[606]*y[:,9])
    dfdy[indx[33], indx[49]] = -(0)
    dfdy[indx[33], indx[50]] = -(0)
    dfdy[indx[33], indx[51]] = -(0)
    dfdy[indx[33], indx[52]] = -(0)
    dfdy[indx[34], indx[0]] = -(0)
    dfdy[indx[34], indx[1]] = -(0)
    dfdy[indx[34], indx[2]] = -(k[360]*y[:,19])
    dfdy[indx[34], indx[3]] = -(0)
    dfdy[indx[34], indx[4]] = -(k[279]*y[:,19] + 2*k[287]*y[:,4] + k[289]*y[:,6])
    dfdy[indx[34], indx[5]] = -(0)
    dfdy[indx[34], indx[6]] = -(2*M*k[551]*y[:,6] + k[273]*y[:,17] + k[281]*y[:,19] + k[289]*y[:,4])
    dfdy[indx[34], indx[7]] = -(0)
    dfdy[indx[34], indx[8]] = -(0)
    dfdy[indx[34], indx[9]] = -(M*k[565]*y[:,35] - 2*k[274]*y[:,34]*y[:,9] - 2*k[280]*y[:,34]*y[:,9] - k[282]*y[:,34] - k[290]*y[:,34] - k[352]*y[:,34] + k[362]*y[:,38] - k[372]*y[:,15]*y[:,34] - k[374]*y[:,18]*y[:,34] - k[378]*y[:,11]*y[:,34] - k[394]*y[:,33]*y[:,34] - k[454]*y[:,34]*y[:,46] + k[596]*y[:,35] - 2*k[604]*y[:,34]*y[:,9])
    dfdy[indx[34], indx[10]] = -(-k[354]*y[:,34] - k[359]*y[:,34])
    dfdy[indx[34], indx[11]] = -(k[364]*y[:,35] - k[378]*y[:,34]*y[:,9])
    dfdy[indx[34], indx[12]] = -(0)
    dfdy[indx[34], indx[13]] = -(k[353]*y[:,35] + k[371]*y[:,33])
    dfdy[indx[34], indx[14]] = -(-k[361]*y[:,34] - k[363]*y[:,34] + k[377]*y[:,33] + k[453]*y[:,41])
    dfdy[indx[34], indx[15]] = -(-k[372]*y[:,34]*y[:,9])
    dfdy[indx[34], indx[16]] = -(0)
    dfdy[indx[34], indx[17]] = -(k[273]*y[:,6] - k[326]*y[:,34] + k[373]*y[:,33])
    dfdy[indx[34], indx[18]] = -(k[325]*y[:,35] - k[374]*y[:,34]*y[:,9])
    dfdy[indx[34], indx[19]] = -(2*k[277]*y[:,19] + k[279]*y[:,4] + k[281]*y[:,6] + k[360]*y[:,2])
    dfdy[indx[34], indx[20]] = -(-k[278]*y[:,34] - k[288]*y[:,34] + k[351]*y[:,35] - k[602]*y[:,34] - 2*k[612]*y[:,20]*y[:,34])
    dfdy[indx[34], indx[21]] = -(0)
    dfdy[indx[34], indx[22]] = -(0)
    dfdy[indx[34], indx[23]] = -(0)
    dfdy[indx[34], indx[24]] = -(0)
    dfdy[indx[34], indx[25]] = -(0)
    dfdy[indx[34], indx[26]] = -(0)
    dfdy[indx[34], indx[27]] = -(0)
    dfdy[indx[34], indx[28]] = -(0)
    dfdy[indx[34], indx[29]] = -(0)
    dfdy[indx[34], indx[30]] = -(0)
    dfdy[indx[34], indx[31]] = -(0)
    dfdy[indx[34], indx[32]] = -(0)
    dfdy[indx[34], indx[33]] = -(k[371]*y[:,13] + k[373]*y[:,17] + k[377]*y[:,14] - k[394]*y[:,34]*y[:,9] + k[601] + k[603])
    dfdy[indx[34], indx[34]] = -(-M*k[552] - M*k[566] - k[274]*y[:,9]**2 - k[278]*y[:,20] - k[280]*y[:,9]**2 - k[282]*y[:,9] - k[288]*y[:,20] - k[290]*y[:,9] - k[326]*y[:,17] - k[352]*y[:,9] - k[354]*y[:,10] - k[359]*y[:,10] - k[361]*y[:,14] - k[363]*y[:,14] - k[372]*y[:,15]*y[:,9] - k[374]*y[:,18]*y[:,9] - k[378]*y[:,11]*y[:,9] - k[394]*y[:,33]*y[:,9] - k[402]*y[:,42] - k[454]*y[:,46]*y[:,9] - k[595] - k[602]*y[:,20] - k[604]*y[:,9]**2 - k[612]*y[:,20]**2)
    dfdy[indx[34], indx[35]] = -(M*k[565]*y[:,9] + k[325]*y[:,18] + k[351]*y[:,20] + k[353]*y[:,13] + k[364]*y[:,11] + k[393]*y[:,40] + k[401]*y[:,41] + k[596]*y[:,9])
    dfdy[indx[34], indx[36]] = -(0)
    dfdy[indx[34], indx[37]] = -(0)
    dfdy[indx[34], indx[38]] = -(k[362]*y[:,9])
    dfdy[indx[34], indx[39]] = -(0)
    dfdy[indx[34], indx[40]] = -(k[393]*y[:,35] + k[611])
    dfdy[indx[34], indx[41]] = -(k[401]*y[:,35] + k[453]*y[:,14])
    dfdy[indx[34], indx[42]] = -(-k[402]*y[:,34])
    dfdy[indx[34], indx[43]] = -(0)
    dfdy[indx[34], indx[44]] = -(0)
    dfdy[indx[34], indx[45]] = -(0)
    dfdy[indx[34], indx[46]] = -(-k[454]*y[:,34]*y[:,9])
    dfdy[indx[34], indx[47]] = -(0)
    dfdy[indx[34], indx[48]] = -(0)
    dfdy[indx[34], indx[49]] = -(0)
    dfdy[indx[34], indx[50]] = -(0)
    dfdy[indx[34], indx[51]] = -(0)
    dfdy[indx[34], indx[52]] = -(0)
    dfdy[indx[35], indx[0]] = -(0)
    dfdy[indx[35], indx[1]] = -(0)
    dfdy[indx[35], indx[2]] = -(k[324]*y[:,6] + k[336]*y[:,7] + k[356]*y[:,19])
    dfdy[indx[35], indx[3]] = -(0)
    dfdy[indx[35], indx[4]] = -(0)
    dfdy[indx[35], indx[5]] = -(0)
    dfdy[indx[35], indx[6]] = -(k[283]*y[:,19] + 2*k[297]*y[:,6] + k[324]*y[:,2])
    dfdy[indx[35], indx[7]] = -(k[336]*y[:,2])
    dfdy[indx[35], indx[8]] = -(0)
    dfdy[indx[35], indx[9]] = -(-M*k[565]*y[:,35] - 2*k[284]*y[:,35]*y[:,9] - k[298]*y[:,35] + k[352]*y[:,34] + k[394]*y[:,33]*y[:,34] + k[404]*y[:,38] - k[596]*y[:,35])
    dfdy[indx[35], indx[10]] = -(-k[323]*y[:,35] + k[334]*y[:,37] + k[354]*y[:,34])
    dfdy[indx[35], indx[11]] = -(-k[364]*y[:,35] - k[403]*y[:,35])
    dfdy[indx[35], indx[12]] = -(0)
    dfdy[indx[35], indx[13]] = -(-k[353]*y[:,35] - k[355]*y[:,35] + k[358]*y[:,37])
    dfdy[indx[35], indx[14]] = -(k[363]*y[:,34])
    dfdy[indx[35], indx[15]] = -(0)
    dfdy[indx[35], indx[16]] = -(0)
    dfdy[indx[35], indx[17]] = -(k[326]*y[:,34])
    dfdy[indx[35], indx[18]] = -(-k[325]*y[:,35])
    dfdy[indx[35], indx[19]] = -(k[283]*y[:,6] + k[356]*y[:,2])
    dfdy[indx[35], indx[20]] = -(-k[351]*y[:,35])
    dfdy[indx[35], indx[21]] = -(0)
    dfdy[indx[35], indx[22]] = -(0)
    dfdy[indx[35], indx[23]] = -(0)
    dfdy[indx[35], indx[24]] = -(0)
    dfdy[indx[35], indx[25]] = -(0)
    dfdy[indx[35], indx[26]] = -(0)
    dfdy[indx[35], indx[27]] = -(-k[333]*y[:,35] - k[335]*y[:,35])
    dfdy[indx[35], indx[28]] = -(0)
    dfdy[indx[35], indx[29]] = -(0)
    dfdy[indx[35], indx[30]] = -(0)
    dfdy[indx[35], indx[31]] = -(0)
    dfdy[indx[35], indx[32]] = -(0)
    dfdy[indx[35], indx[33]] = -(k[394]*y[:,34]*y[:,9])
    dfdy[indx[35], indx[34]] = -(M*k[566] + k[326]*y[:,17] + k[352]*y[:,9] + k[354]*y[:,10] + k[363]*y[:,14] + k[394]*y[:,33]*y[:,9] + k[402]*y[:,42] + k[595])
    dfdy[indx[35], indx[35]] = -(-M*k[565]*y[:,9] - k[284]*y[:,9]**2 - k[298]*y[:,9] - k[323]*y[:,10] - k[325]*y[:,18] - k[333]*y[:,27] - k[335]*y[:,27] - k[351]*y[:,20] - k[353]*y[:,13] - k[355]*y[:,13] - k[357]*y[:,36] - k[364]*y[:,11] - k[393]*y[:,40] - k[401]*y[:,41] - k[403]*y[:,11] - k[596]*y[:,9])
    dfdy[indx[35], indx[36]] = -(-k[357]*y[:,35])
    dfdy[indx[35], indx[37]] = -(k[334]*y[:,10] + k[358]*y[:,13])
    dfdy[indx[35], indx[38]] = -(k[404]*y[:,9])
    dfdy[indx[35], indx[39]] = -(0)
    dfdy[indx[35], indx[40]] = -(-k[393]*y[:,35])
    dfdy[indx[35], indx[41]] = -(-k[401]*y[:,35])
    dfdy[indx[35], indx[42]] = -(k[402]*y[:,34])
    dfdy[indx[35], indx[43]] = -(0)
    dfdy[indx[35], indx[44]] = -(0)
    dfdy[indx[35], indx[45]] = -(0)
    dfdy[indx[35], indx[46]] = -(0)
    dfdy[indx[35], indx[47]] = -(0)
    dfdy[indx[35], indx[48]] = -(0)
    dfdy[indx[35], indx[49]] = -(0)
    dfdy[indx[35], indx[50]] = -(0)
    dfdy[indx[35], indx[51]] = -(0)
    dfdy[indx[35], indx[52]] = -(0)
    dfdy[indx[36], indx[0]] = -(0)
    dfdy[indx[36], indx[1]] = -(0)
    dfdy[indx[36], indx[2]] = -(-k[332]*y[:,36])
    dfdy[indx[36], indx[3]] = -(0)
    dfdy[indx[36], indx[4]] = -(0)
    dfdy[indx[36], indx[5]] = -(0)
    dfdy[indx[36], indx[6]] = -(0)
    dfdy[indx[36], indx[7]] = -(k[331]*y[:,27])
    dfdy[indx[36], indx[8]] = -(0)
    dfdy[indx[36], indx[9]] = -(M*k[569]*y[:,27] - k[307]*y[:,36] - k[309]*y[:,36] - k[311]*y[:,36])
    dfdy[indx[36], indx[10]] = -(M*k[471]*y[:,13] - k[305]*y[:,36] + k[308]*y[:,15] + k[640]*y[:,13])
    dfdy[indx[36], indx[11]] = -(0)
    dfdy[indx[36], indx[12]] = -(0)
    dfdy[indx[36], indx[13]] = -(M*k[471]*y[:,10] + M*k[473]*y[:,16] + k[306]*y[:,27] + 2*k[310]*y[:,13] - k[313]*y[:,36] + k[358]*y[:,37] + k[640]*y[:,10])
    dfdy[indx[36], indx[14]] = -(0)
    dfdy[indx[36], indx[15]] = -(k[308]*y[:,10] + k[314]*y[:,27] + k[416]*y[:,25])
    dfdy[indx[36], indx[16]] = -(M*k[473]*y[:,13])
    dfdy[indx[36], indx[17]] = -(0)
    dfdy[indx[36], indx[18]] = -(0)
    dfdy[indx[36], indx[19]] = -(0)
    dfdy[indx[36], indx[20]] = -(k[312]*y[:,27])
    dfdy[indx[36], indx[21]] = -(0)
    dfdy[indx[36], indx[22]] = -(0)
    dfdy[indx[36], indx[23]] = -(0)
    dfdy[indx[36], indx[24]] = -(-k[415]*y[:,36] - k[417]*y[:,36])
    dfdy[indx[36], indx[25]] = -(k[416]*y[:,15])
    dfdy[indx[36], indx[26]] = -(0)
    dfdy[indx[36], indx[27]] = -(M*k[569]*y[:,9] + k[306]*y[:,13] + k[312]*y[:,20] + k[314]*y[:,15] + k[331]*y[:,7] + k[418]*y[:,43])
    dfdy[indx[36], indx[28]] = -(0)
    dfdy[indx[36], indx[29]] = -(0)
    dfdy[indx[36], indx[30]] = -(0)
    dfdy[indx[36], indx[31]] = -(0)
    dfdy[indx[36], indx[32]] = -(0)
    dfdy[indx[36], indx[33]] = -(0)
    dfdy[indx[36], indx[34]] = -(0)
    dfdy[indx[36], indx[35]] = -(-k[357]*y[:,36])
    dfdy[indx[36], indx[36]] = -(-M*k[472] - M*k[474] - M*k[570] - k[305]*y[:,10] - k[307]*y[:,9] - k[309]*y[:,9] - k[311]*y[:,9] - k[313]*y[:,13] - k[332]*y[:,2] - k[357]*y[:,35] - k[415]*y[:,24] - k[417]*y[:,24] - k[639])
    dfdy[indx[36], indx[37]] = -(k[358]*y[:,13])
    dfdy[indx[36], indx[38]] = -(0)
    dfdy[indx[36], indx[39]] = -(0)
    dfdy[indx[36], indx[40]] = -(0)
    dfdy[indx[36], indx[41]] = -(0)
    dfdy[indx[36], indx[42]] = -(0)
    dfdy[indx[36], indx[43]] = -(k[418]*y[:,27])
    dfdy[indx[36], indx[44]] = -(0)
    dfdy[indx[36], indx[45]] = -(0)
    dfdy[indx[36], indx[46]] = -(0)
    dfdy[indx[36], indx[47]] = -(0)
    dfdy[indx[36], indx[48]] = -(0)
    dfdy[indx[36], indx[49]] = -(0)
    dfdy[indx[36], indx[50]] = -(0)
    dfdy[indx[36], indx[51]] = -(0)
    dfdy[indx[36], indx[52]] = -(0)
    dfdy[indx[37], indx[0]] = -(k[320]*y[:,11])
    dfdy[indx[37], indx[1]] = -(0)
    dfdy[indx[37], indx[2]] = -(M*k[463]*y[:,6] + k[316]*y[:,19] + 2*k[318]*y[:,2]*y[:,9] + k[322]*y[:,28])
    dfdy[indx[37], indx[3]] = -(-k[319]*y[:,37] - k[321]*y[:,37])
    dfdy[indx[37], indx[4]] = -(0)
    dfdy[indx[37], indx[5]] = -(0)
    dfdy[indx[37], indx[6]] = -(M*k[463]*y[:,2])
    dfdy[indx[37], indx[7]] = -(0)
    dfdy[indx[37], indx[8]] = -(0)
    dfdy[indx[37], indx[9]] = -(-k[315]*y[:,37] + k[318]*y[:,2]**2)
    dfdy[indx[37], indx[10]] = -(-k[317]*y[:,37] - k[334]*y[:,37])
    dfdy[indx[37], indx[11]] = -(k[320]*y[:,0])
    dfdy[indx[37], indx[12]] = -(0)
    dfdy[indx[37], indx[13]] = -(-k[358]*y[:,37])
    dfdy[indx[37], indx[14]] = -(0)
    dfdy[indx[37], indx[15]] = -(0)
    dfdy[indx[37], indx[16]] = -(0)
    dfdy[indx[37], indx[17]] = -(0)
    dfdy[indx[37], indx[18]] = -(0)
    dfdy[indx[37], indx[19]] = -(k[316]*y[:,2])
    dfdy[indx[37], indx[20]] = -(0)
    dfdy[indx[37], indx[21]] = -(0)
    dfdy[indx[37], indx[22]] = -(0)
    dfdy[indx[37], indx[23]] = -(0)
    dfdy[indx[37], indx[24]] = -(0)
    dfdy[indx[37], indx[25]] = -(0)
    dfdy[indx[37], indx[26]] = -(0)
    dfdy[indx[37], indx[27]] = -(k[333]*y[:,35])
    dfdy[indx[37], indx[28]] = -(k[322]*y[:,2])
    dfdy[indx[37], indx[29]] = -(0)
    dfdy[indx[37], indx[30]] = -(0)
    dfdy[indx[37], indx[31]] = -(0)
    dfdy[indx[37], indx[32]] = -(0)
    dfdy[indx[37], indx[33]] = -(0)
    dfdy[indx[37], indx[34]] = -(0)
    dfdy[indx[37], indx[35]] = -(k[333]*y[:,27] + k[357]*y[:,36])
    dfdy[indx[37], indx[36]] = -(k[357]*y[:,35])
    dfdy[indx[37], indx[37]] = -(-M*k[464] - k[315]*y[:,9] - k[317]*y[:,10] - k[319]*y[:,3] - k[321]*y[:,3] - k[334]*y[:,10] - k[358]*y[:,13])
    dfdy[indx[37], indx[38]] = -(0)
    dfdy[indx[37], indx[39]] = -(0)
    dfdy[indx[37], indx[40]] = -(0)
    dfdy[indx[37], indx[41]] = -(0)
    dfdy[indx[37], indx[42]] = -(0)
    dfdy[indx[37], indx[43]] = -(0)
    dfdy[indx[37], indx[44]] = -(0)
    dfdy[indx[37], indx[45]] = -(0)
    dfdy[indx[37], indx[46]] = -(0)
    dfdy[indx[37], indx[47]] = -(0)
    dfdy[indx[37], indx[48]] = -(0)
    dfdy[indx[37], indx[49]] = -(0)
    dfdy[indx[37], indx[50]] = -(0)
    dfdy[indx[37], indx[51]] = -(0)
    dfdy[indx[37], indx[52]] = -(0)
    dfdy[indx[38], indx[0]] = -(0)
    dfdy[indx[38], indx[1]] = -(0)
    dfdy[indx[38], indx[2]] = -(0)
    dfdy[indx[38], indx[3]] = -(0)
    dfdy[indx[38], indx[4]] = -(0)
    dfdy[indx[38], indx[5]] = -(0)
    dfdy[indx[38], indx[6]] = -(0)
    dfdy[indx[38], indx[7]] = -(0)
    dfdy[indx[38], indx[8]] = -(0)
    dfdy[indx[38], indx[9]] = -(-k[362]*y[:,38] - k[404]*y[:,38])
    dfdy[indx[38], indx[10]] = -(0)
    dfdy[indx[38], indx[11]] = -(k[403]*y[:,35])
    dfdy[indx[38], indx[12]] = -(0)
    dfdy[indx[38], indx[13]] = -(0)
    dfdy[indx[38], indx[14]] = -(k[361]*y[:,34])
    dfdy[indx[38], indx[15]] = -(0)
    dfdy[indx[38], indx[16]] = -(0)
    dfdy[indx[38], indx[17]] = -(0)
    dfdy[indx[38], indx[18]] = -(0)
    dfdy[indx[38], indx[19]] = -(0)
    dfdy[indx[38], indx[20]] = -(0)
    dfdy[indx[38], indx[21]] = -(0)
    dfdy[indx[38], indx[22]] = -(0)
    dfdy[indx[38], indx[23]] = -(0)
    dfdy[indx[38], indx[24]] = -(0)
    dfdy[indx[38], indx[25]] = -(0)
    dfdy[indx[38], indx[26]] = -(0)
    dfdy[indx[38], indx[27]] = -(0)
    dfdy[indx[38], indx[28]] = -(0)
    dfdy[indx[38], indx[29]] = -(0)
    dfdy[indx[38], indx[30]] = -(0)
    dfdy[indx[38], indx[31]] = -(0)
    dfdy[indx[38], indx[32]] = -(0)
    dfdy[indx[38], indx[33]] = -(0)
    dfdy[indx[38], indx[34]] = -(k[361]*y[:,14])
    dfdy[indx[38], indx[35]] = -(k[403]*y[:,11])
    dfdy[indx[38], indx[36]] = -(0)
    dfdy[indx[38], indx[37]] = -(0)
    dfdy[indx[38], indx[38]] = -(-k[362]*y[:,9] - k[404]*y[:,9])
    dfdy[indx[38], indx[39]] = -(0)
    dfdy[indx[38], indx[40]] = -(0)
    dfdy[indx[38], indx[41]] = -(0)
    dfdy[indx[38], indx[42]] = -(0)
    dfdy[indx[38], indx[43]] = -(0)
    dfdy[indx[38], indx[44]] = -(0)
    dfdy[indx[38], indx[45]] = -(0)
    dfdy[indx[38], indx[46]] = -(0)
    dfdy[indx[38], indx[47]] = -(0)
    dfdy[indx[38], indx[48]] = -(0)
    dfdy[indx[38], indx[49]] = -(0)
    dfdy[indx[38], indx[50]] = -(0)
    dfdy[indx[38], indx[51]] = -(0)
    dfdy[indx[38], indx[52]] = -(0)
    dfdy[indx[39], indx[0]] = -(0)
    dfdy[indx[39], indx[1]] = -(0)
    dfdy[indx[39], indx[2]] = -(0)
    dfdy[indx[39], indx[3]] = -(0)
    dfdy[indx[39], indx[4]] = -(0)
    dfdy[indx[39], indx[5]] = -(0)
    dfdy[indx[39], indx[6]] = -(0)
    dfdy[indx[39], indx[7]] = -(0)
    dfdy[indx[39], indx[8]] = -(0)
    dfdy[indx[39], indx[9]] = -(-k[376]*y[:,39])
    dfdy[indx[39], indx[10]] = -(0)
    dfdy[indx[39], indx[11]] = -(0)
    dfdy[indx[39], indx[12]] = -(0)
    dfdy[indx[39], indx[13]] = -(0)
    dfdy[indx[39], indx[14]] = -(k[375]*y[:,33])
    dfdy[indx[39], indx[15]] = -(0)
    dfdy[indx[39], indx[16]] = -(0)
    dfdy[indx[39], indx[17]] = -(0)
    dfdy[indx[39], indx[18]] = -(0)
    dfdy[indx[39], indx[19]] = -(0)
    dfdy[indx[39], indx[20]] = -(0)
    dfdy[indx[39], indx[21]] = -(0)
    dfdy[indx[39], indx[22]] = -(0)
    dfdy[indx[39], indx[23]] = -(0)
    dfdy[indx[39], indx[24]] = -(0)
    dfdy[indx[39], indx[25]] = -(0)
    dfdy[indx[39], indx[26]] = -(0)
    dfdy[indx[39], indx[27]] = -(0)
    dfdy[indx[39], indx[28]] = -(0)
    dfdy[indx[39], indx[29]] = -(0)
    dfdy[indx[39], indx[30]] = -(0)
    dfdy[indx[39], indx[31]] = -(0)
    dfdy[indx[39], indx[32]] = -(0)
    dfdy[indx[39], indx[33]] = -(k[375]*y[:,14])
    dfdy[indx[39], indx[34]] = -(0)
    dfdy[indx[39], indx[35]] = -(0)
    dfdy[indx[39], indx[36]] = -(0)
    dfdy[indx[39], indx[37]] = -(0)
    dfdy[indx[39], indx[38]] = -(0)
    dfdy[indx[39], indx[39]] = -(-k[376]*y[:,9])
    dfdy[indx[39], indx[40]] = -(0)
    dfdy[indx[39], indx[41]] = -(0)
    dfdy[indx[39], indx[42]] = -(0)
    dfdy[indx[39], indx[43]] = -(0)
    dfdy[indx[39], indx[44]] = -(0)
    dfdy[indx[39], indx[45]] = -(0)
    dfdy[indx[39], indx[46]] = -(0)
    dfdy[indx[39], indx[47]] = -(0)
    dfdy[indx[39], indx[48]] = -(0)
    dfdy[indx[39], indx[49]] = -(0)
    dfdy[indx[39], indx[50]] = -(0)
    dfdy[indx[39], indx[51]] = -(0)
    dfdy[indx[39], indx[52]] = -(0)
    dfdy[indx[40], indx[0]] = -(0)
    dfdy[indx[40], indx[1]] = -(0)
    dfdy[indx[40], indx[2]] = -(0)
    dfdy[indx[40], indx[3]] = -(0)
    dfdy[indx[40], indx[4]] = -(M*k[535]*y[:,18] + k[614]*y[:,18])
    dfdy[indx[40], indx[5]] = -(0)
    dfdy[indx[40], indx[6]] = -(-k[387]*y[:,40] - k[389]*y[:,40])
    dfdy[indx[40], indx[7]] = -(0)
    dfdy[indx[40], indx[8]] = -(0)
    dfdy[indx[40], indx[9]] = -(k[380]*y[:,17]*y[:,33] + k[382]*y[:,13]*y[:,33] - k[383]*y[:,40] + k[384]*y[:,20]*y[:,33] + k[386]*y[:,15]*y[:,33] + k[390]*y[:,41] + k[392]*y[:,18]*y[:,33] + k[394]*y[:,33]*y[:,34] + k[396]*y[:,11]*y[:,33] + k[398]*y[:,13]*y[:,33] + k[422]*y[:,33]*y[:,43] + 2*k[610]*y[:,33]*y[:,9])
    dfdy[indx[40], indx[10]] = -(-k[381]*y[:,40])
    dfdy[indx[40], indx[11]] = -(k[396]*y[:,33]*y[:,9])
    dfdy[indx[40], indx[12]] = -(0)
    dfdy[indx[40], indx[13]] = -(k[382]*y[:,33]*y[:,9] - k[385]*y[:,40] + k[398]*y[:,33]*y[:,9])
    dfdy[indx[40], indx[14]] = -(-k[395]*y[:,40])
    dfdy[indx[40], indx[15]] = -(k[386]*y[:,33]*y[:,9])
    dfdy[indx[40], indx[16]] = -(-k[397]*y[:,40])
    dfdy[indx[40], indx[17]] = -(2*M*k[537]*y[:,17] + k[380]*y[:,33]*y[:,9] + k[388]*y[:,33] - k[391]*y[:,40] + 2*k[616]*y[:,17])
    dfdy[indx[40], indx[18]] = -(M*k[535]*y[:,4] + k[392]*y[:,33]*y[:,9] + k[614]*y[:,4])
    dfdy[indx[40], indx[19]] = -(-k[379]*y[:,40])
    dfdy[indx[40], indx[20]] = -(k[384]*y[:,33]*y[:,9] + k[608]*y[:,33] + 2*k[612]*y[:,20]*y[:,34])
    dfdy[indx[40], indx[21]] = -(0)
    dfdy[indx[40], indx[22]] = -(0)
    dfdy[indx[40], indx[23]] = -(0)
    dfdy[indx[40], indx[24]] = -(-k[421]*y[:,40])
    dfdy[indx[40], indx[25]] = -(0)
    dfdy[indx[40], indx[26]] = -(0)
    dfdy[indx[40], indx[27]] = -(0)
    dfdy[indx[40], indx[28]] = -(0)
    dfdy[indx[40], indx[29]] = -(0)
    dfdy[indx[40], indx[30]] = -(0)
    dfdy[indx[40], indx[31]] = -(0)
    dfdy[indx[40], indx[32]] = -(0)
    dfdy[indx[40], indx[33]] = -(k[380]*y[:,17]*y[:,9] + k[382]*y[:,13]*y[:,9] + k[384]*y[:,20]*y[:,9] + k[386]*y[:,15]*y[:,9] + k[388]*y[:,17] + k[392]*y[:,18]*y[:,9] + k[394]*y[:,34]*y[:,9] + k[396]*y[:,11]*y[:,9] + k[398]*y[:,13]*y[:,9] + k[422]*y[:,43]*y[:,9] + k[608]*y[:,20] + k[610]*y[:,9]**2)
    dfdy[indx[40], indx[34]] = -(k[394]*y[:,33]*y[:,9] + k[612]*y[:,20]**2)
    dfdy[indx[40], indx[35]] = -(-k[393]*y[:,40])
    dfdy[indx[40], indx[36]] = -(0)
    dfdy[indx[40], indx[37]] = -(0)
    dfdy[indx[40], indx[38]] = -(0)
    dfdy[indx[40], indx[39]] = -(0)
    dfdy[indx[40], indx[40]] = -(-M*k[536] - M*k[538] - k[379]*y[:,19] - k[381]*y[:,10] - k[383]*y[:,9] - k[385]*y[:,13] - k[387]*y[:,6] - k[389]*y[:,6] - k[391]*y[:,17] - k[393]*y[:,35] - k[395]*y[:,14] - k[397]*y[:,16] - k[421]*y[:,24] - k[607] - k[609] - k[611] - k[613] - k[615])
    dfdy[indx[40], indx[41]] = -(k[390]*y[:,9])
    dfdy[indx[40], indx[42]] = -(0)
    dfdy[indx[40], indx[43]] = -(k[422]*y[:,33]*y[:,9])
    dfdy[indx[40], indx[44]] = -(0)
    dfdy[indx[40], indx[45]] = -(0)
    dfdy[indx[40], indx[46]] = -(0)
    dfdy[indx[40], indx[47]] = -(0)
    dfdy[indx[40], indx[48]] = -(0)
    dfdy[indx[40], indx[49]] = -(0)
    dfdy[indx[40], indx[50]] = -(0)
    dfdy[indx[40], indx[51]] = -(0)
    dfdy[indx[40], indx[52]] = -(0)
    dfdy[indx[41], indx[0]] = -(0)
    dfdy[indx[41], indx[1]] = -(0)
    dfdy[indx[41], indx[2]] = -(0)
    dfdy[indx[41], indx[3]] = -(0)
    dfdy[indx[41], indx[4]] = -(0)
    dfdy[indx[41], indx[5]] = -(0)
    dfdy[indx[41], indx[6]] = -(k[389]*y[:,40])
    dfdy[indx[41], indx[7]] = -(0)
    dfdy[indx[41], indx[8]] = -(0)
    dfdy[indx[41], indx[9]] = -(-k[390]*y[:,41] + k[454]*y[:,34]*y[:,46])
    dfdy[indx[41], indx[10]] = -(0)
    dfdy[indx[41], indx[11]] = -(0)
    dfdy[indx[41], indx[12]] = -(0)
    dfdy[indx[41], indx[13]] = -(0)
    dfdy[indx[41], indx[14]] = -(-k[453]*y[:,41])
    dfdy[indx[41], indx[15]] = -(0)
    dfdy[indx[41], indx[16]] = -(0)
    dfdy[indx[41], indx[17]] = -(0)
    dfdy[indx[41], indx[18]] = -(0)
    dfdy[indx[41], indx[19]] = -(0)
    dfdy[indx[41], indx[20]] = -(0)
    dfdy[indx[41], indx[21]] = -(0)
    dfdy[indx[41], indx[22]] = -(0)
    dfdy[indx[41], indx[23]] = -(0)
    dfdy[indx[41], indx[24]] = -(0)
    dfdy[indx[41], indx[25]] = -(0)
    dfdy[indx[41], indx[26]] = -(0)
    dfdy[indx[41], indx[27]] = -(0)
    dfdy[indx[41], indx[28]] = -(0)
    dfdy[indx[41], indx[29]] = -(0)
    dfdy[indx[41], indx[30]] = -(0)
    dfdy[indx[41], indx[31]] = -(0)
    dfdy[indx[41], indx[32]] = -(0)
    dfdy[indx[41], indx[33]] = -(0)
    dfdy[indx[41], indx[34]] = -(k[402]*y[:,42] + k[454]*y[:,46]*y[:,9])
    dfdy[indx[41], indx[35]] = -(-k[401]*y[:,41])
    dfdy[indx[41], indx[36]] = -(0)
    dfdy[indx[41], indx[37]] = -(0)
    dfdy[indx[41], indx[38]] = -(0)
    dfdy[indx[41], indx[39]] = -(0)
    dfdy[indx[41], indx[40]] = -(k[389]*y[:,6])
    dfdy[indx[41], indx[41]] = -(-k[390]*y[:,9] - k[401]*y[:,35] - k[453]*y[:,14])
    dfdy[indx[41], indx[42]] = -(k[402]*y[:,34])
    dfdy[indx[41], indx[43]] = -(0)
    dfdy[indx[41], indx[44]] = -(0)
    dfdy[indx[41], indx[45]] = -(0)
    dfdy[indx[41], indx[46]] = -(k[454]*y[:,34]*y[:,9])
    dfdy[indx[41], indx[47]] = -(0)
    dfdy[indx[41], indx[48]] = -(0)
    dfdy[indx[41], indx[49]] = -(0)
    dfdy[indx[41], indx[50]] = -(0)
    dfdy[indx[41], indx[51]] = -(0)
    dfdy[indx[41], indx[52]] = -(0)
    dfdy[indx[42], indx[0]] = -(0)
    dfdy[indx[42], indx[1]] = -(0)
    dfdy[indx[42], indx[2]] = -(0)
    dfdy[indx[42], indx[3]] = -(0)
    dfdy[indx[42], indx[4]] = -(0)
    dfdy[indx[42], indx[5]] = -(0)
    dfdy[indx[42], indx[6]] = -(0)
    dfdy[indx[42], indx[7]] = -(0)
    dfdy[indx[42], indx[8]] = -(0)
    dfdy[indx[42], indx[9]] = -(0)
    dfdy[indx[42], indx[10]] = -(0)
    dfdy[indx[42], indx[11]] = -(0)
    dfdy[indx[42], indx[12]] = -(0)
    dfdy[indx[42], indx[13]] = -(0)
    dfdy[indx[42], indx[14]] = -(0)
    dfdy[indx[42], indx[15]] = -(0)
    dfdy[indx[42], indx[16]] = -(0)
    dfdy[indx[42], indx[17]] = -(0)
    dfdy[indx[42], indx[18]] = -(0)
    dfdy[indx[42], indx[19]] = -(0)
    dfdy[indx[42], indx[20]] = -(0)
    dfdy[indx[42], indx[21]] = -(0)
    dfdy[indx[42], indx[22]] = -(0)
    dfdy[indx[42], indx[23]] = -(0)
    dfdy[indx[42], indx[24]] = -(0)
    dfdy[indx[42], indx[25]] = -(0)
    dfdy[indx[42], indx[26]] = -(0)
    dfdy[indx[42], indx[27]] = -(0)
    dfdy[indx[42], indx[28]] = -(0)
    dfdy[indx[42], indx[29]] = -(0)
    dfdy[indx[42], indx[30]] = -(0)
    dfdy[indx[42], indx[31]] = -(0)
    dfdy[indx[42], indx[32]] = -(0)
    dfdy[indx[42], indx[33]] = -(0)
    dfdy[indx[42], indx[34]] = -(-k[402]*y[:,42])
    dfdy[indx[42], indx[35]] = -(k[401]*y[:,41])
    dfdy[indx[42], indx[36]] = -(0)
    dfdy[indx[42], indx[37]] = -(0)
    dfdy[indx[42], indx[38]] = -(0)
    dfdy[indx[42], indx[39]] = -(0)
    dfdy[indx[42], indx[40]] = -(0)
    dfdy[indx[42], indx[41]] = -(k[401]*y[:,35])
    dfdy[indx[42], indx[42]] = -(-k[402]*y[:,34])
    dfdy[indx[42], indx[43]] = -(0)
    dfdy[indx[42], indx[44]] = -(0)
    dfdy[indx[42], indx[45]] = -(0)
    dfdy[indx[42], indx[46]] = -(0)
    dfdy[indx[42], indx[47]] = -(0)
    dfdy[indx[42], indx[48]] = -(0)
    dfdy[indx[42], indx[49]] = -(0)
    dfdy[indx[42], indx[50]] = -(0)
    dfdy[indx[42], indx[51]] = -(0)
    dfdy[indx[42], indx[52]] = -(0)
    dfdy[indx[43], indx[0]] = -(0)
    dfdy[indx[43], indx[1]] = -(0)
    dfdy[indx[43], indx[2]] = -(0)
    dfdy[indx[43], indx[3]] = -(0)
    dfdy[indx[43], indx[4]] = -(0)
    dfdy[indx[43], indx[5]] = -(0)
    dfdy[indx[43], indx[6]] = -(0)
    dfdy[indx[43], indx[7]] = -(0)
    dfdy[indx[43], indx[8]] = -(0)
    dfdy[indx[43], indx[9]] = -(-k[420]*y[:,43] - k[422]*y[:,33]*y[:,43] + k[646]*y[:,24] + 2*k[648]*y[:,22]*y[:,9])
    dfdy[indx[43], indx[10]] = -(-k[435]*y[:,43])
    dfdy[indx[43], indx[11]] = -(k[440]*y[:,24])
    dfdy[indx[43], indx[12]] = -(0)
    dfdy[indx[43], indx[13]] = -(k[436]*y[:,24] - k[437]*y[:,43])
    dfdy[indx[43], indx[14]] = -(-k[439]*y[:,43])
    dfdy[indx[43], indx[15]] = -(k[438]*y[:,24])
    dfdy[indx[43], indx[16]] = -(0)
    dfdy[indx[43], indx[17]] = -(-k[424]*y[:,43])
    dfdy[indx[43], indx[18]] = -(k[423]*y[:,24])
    dfdy[indx[43], indx[19]] = -(0)
    dfdy[indx[43], indx[20]] = -(k[419]*y[:,24])
    dfdy[indx[43], indx[21]] = -(0)
    dfdy[indx[43], indx[22]] = -(k[648]*y[:,9]**2)
    dfdy[indx[43], indx[23]] = -(0)
    dfdy[indx[43], indx[24]] = -(k[417]*y[:,36] + k[419]*y[:,20] + k[421]*y[:,40] + k[423]*y[:,18] + k[436]*y[:,13] + k[438]*y[:,15] + k[440]*y[:,11] + k[646]*y[:,9])
    dfdy[indx[43], indx[25]] = -(0)
    dfdy[indx[43], indx[26]] = -(0)
    dfdy[indx[43], indx[27]] = -(-k[418]*y[:,43])
    dfdy[indx[43], indx[28]] = -(0)
    dfdy[indx[43], indx[29]] = -(0)
    dfdy[indx[43], indx[30]] = -(0)
    dfdy[indx[43], indx[31]] = -(0)
    dfdy[indx[43], indx[32]] = -(0)
    dfdy[indx[43], indx[33]] = -(-k[422]*y[:,43]*y[:,9])
    dfdy[indx[43], indx[34]] = -(0)
    dfdy[indx[43], indx[35]] = -(0)
    dfdy[indx[43], indx[36]] = -(k[417]*y[:,24])
    dfdy[indx[43], indx[37]] = -(0)
    dfdy[indx[43], indx[38]] = -(0)
    dfdy[indx[43], indx[39]] = -(0)
    dfdy[indx[43], indx[40]] = -(k[421]*y[:,24])
    dfdy[indx[43], indx[41]] = -(0)
    dfdy[indx[43], indx[42]] = -(0)
    dfdy[indx[43], indx[43]] = -(-k[418]*y[:,27] - k[420]*y[:,9] - k[422]*y[:,33]*y[:,9] - k[424]*y[:,17] - k[435]*y[:,10] - k[437]*y[:,13] - k[439]*y[:,14] - k[645] - k[647])
    dfdy[indx[43], indx[44]] = -(0)
    dfdy[indx[43], indx[45]] = -(0)
    dfdy[indx[43], indx[46]] = -(0)
    dfdy[indx[43], indx[47]] = -(0)
    dfdy[indx[43], indx[48]] = -(0)
    dfdy[indx[43], indx[49]] = -(0)
    dfdy[indx[43], indx[50]] = -(0)
    dfdy[indx[43], indx[51]] = -(0)
    dfdy[indx[43], indx[52]] = -(0)
    dfdy[indx[44], indx[0]] = -(0)
    dfdy[indx[44], indx[1]] = -(0)
    dfdy[indx[44], indx[2]] = -(k[444]*y[:,17]*y[:,20] + k[636]*y[:,18])
    dfdy[indx[44], indx[3]] = -(0)
    dfdy[indx[44], indx[4]] = -(0)
    dfdy[indx[44], indx[5]] = -(0)
    dfdy[indx[44], indx[6]] = -(0)
    dfdy[indx[44], indx[7]] = -(M*k[457]*y[:,17] + k[442]*y[:,11]*y[:,20] + k[446]*y[:,18] + k[638]*y[:,17])
    dfdy[indx[44], indx[8]] = -(0)
    dfdy[indx[44], indx[9]] = -(-k[443]*y[:,44] - k[445]*y[:,44])
    dfdy[indx[44], indx[10]] = -(0)
    dfdy[indx[44], indx[11]] = -(k[442]*y[:,20]*y[:,7])
    dfdy[indx[44], indx[12]] = -(0)
    dfdy[indx[44], indx[13]] = -(0)
    dfdy[indx[44], indx[14]] = -(0)
    dfdy[indx[44], indx[15]] = -(0)
    dfdy[indx[44], indx[16]] = -(0)
    dfdy[indx[44], indx[17]] = -(M*k[457]*y[:,7] + k[444]*y[:,20]*y[:,2] + k[638]*y[:,7])
    dfdy[indx[44], indx[18]] = -(k[446]*y[:,7] + k[636]*y[:,2])
    dfdy[indx[44], indx[19]] = -(0)
    dfdy[indx[44], indx[20]] = -(k[442]*y[:,11]*y[:,7] + k[444]*y[:,17]*y[:,2])
    dfdy[indx[44], indx[21]] = -(0)
    dfdy[indx[44], indx[22]] = -(0)
    dfdy[indx[44], indx[23]] = -(-k[441]*y[:,44])
    dfdy[indx[44], indx[24]] = -(0)
    dfdy[indx[44], indx[25]] = -(0)
    dfdy[indx[44], indx[26]] = -(0)
    dfdy[indx[44], indx[27]] = -(0)
    dfdy[indx[44], indx[28]] = -(0)
    dfdy[indx[44], indx[29]] = -(0)
    dfdy[indx[44], indx[30]] = -(0)
    dfdy[indx[44], indx[31]] = -(0)
    dfdy[indx[44], indx[32]] = -(0)
    dfdy[indx[44], indx[33]] = -(0)
    dfdy[indx[44], indx[34]] = -(0)
    dfdy[indx[44], indx[35]] = -(0)
    dfdy[indx[44], indx[36]] = -(0)
    dfdy[indx[44], indx[37]] = -(0)
    dfdy[indx[44], indx[38]] = -(0)
    dfdy[indx[44], indx[39]] = -(0)
    dfdy[indx[44], indx[40]] = -(0)
    dfdy[indx[44], indx[41]] = -(0)
    dfdy[indx[44], indx[42]] = -(0)
    dfdy[indx[44], indx[43]] = -(0)
    dfdy[indx[44], indx[44]] = -(-M*k[458] - k[441]*y[:,23] - k[443]*y[:,9] - k[445]*y[:,9] - k[635] - k[637])
    dfdy[indx[44], indx[45]] = -(0)
    dfdy[indx[44], indx[46]] = -(0)
    dfdy[indx[44], indx[47]] = -(0)
    dfdy[indx[44], indx[48]] = -(0)
    dfdy[indx[44], indx[49]] = -(0)
    dfdy[indx[44], indx[50]] = -(0)
    dfdy[indx[44], indx[51]] = -(0)
    dfdy[indx[44], indx[52]] = -(0)
    dfdy[indx[45], indx[0]] = -(0)
    dfdy[indx[45], indx[1]] = -(0)
    dfdy[indx[45], indx[2]] = -(0)
    dfdy[indx[45], indx[3]] = -(0)
    dfdy[indx[45], indx[4]] = -(0)
    dfdy[indx[45], indx[5]] = -(k[450]*y[:,15]*y[:,9] + k[632]*y[:,20])
    dfdy[indx[45], indx[6]] = -(0)
    dfdy[indx[45], indx[7]] = -(0)
    dfdy[indx[45], indx[8]] = -(0)
    dfdy[indx[45], indx[9]] = -(k[450]*y[:,15]*y[:,5] + k[634]*y[:,49])
    dfdy[indx[45], indx[10]] = -(0)
    dfdy[indx[45], indx[11]] = -(0)
    dfdy[indx[45], indx[12]] = -(0)
    dfdy[indx[45], indx[13]] = -(M*k[475]*y[:,17] - k[449]*y[:,45] + k[630]*y[:,17])
    dfdy[indx[45], indx[14]] = -(0)
    dfdy[indx[45], indx[15]] = -(k[450]*y[:,5]*y[:,9])
    dfdy[indx[45], indx[16]] = -(M*k[497]*y[:,18])
    dfdy[indx[45], indx[17]] = -(M*k[475]*y[:,13] + k[448]*y[:,25] + k[630]*y[:,13])
    dfdy[indx[45], indx[18]] = -(M*k[497]*y[:,16])
    dfdy[indx[45], indx[19]] = -(0)
    dfdy[indx[45], indx[20]] = -(k[632]*y[:,5])
    dfdy[indx[45], indx[21]] = -(0)
    dfdy[indx[45], indx[22]] = -(0)
    dfdy[indx[45], indx[23]] = -(-k[447]*y[:,45])
    dfdy[indx[45], indx[24]] = -(0)
    dfdy[indx[45], indx[25]] = -(k[448]*y[:,17])
    dfdy[indx[45], indx[26]] = -(0)
    dfdy[indx[45], indx[27]] = -(0)
    dfdy[indx[45], indx[28]] = -(0)
    dfdy[indx[45], indx[29]] = -(0)
    dfdy[indx[45], indx[30]] = -(0)
    dfdy[indx[45], indx[31]] = -(0)
    dfdy[indx[45], indx[32]] = -(0)
    dfdy[indx[45], indx[33]] = -(0)
    dfdy[indx[45], indx[34]] = -(0)
    dfdy[indx[45], indx[35]] = -(0)
    dfdy[indx[45], indx[36]] = -(0)
    dfdy[indx[45], indx[37]] = -(0)
    dfdy[indx[45], indx[38]] = -(0)
    dfdy[indx[45], indx[39]] = -(0)
    dfdy[indx[45], indx[40]] = -(0)
    dfdy[indx[45], indx[41]] = -(0)
    dfdy[indx[45], indx[42]] = -(0)
    dfdy[indx[45], indx[43]] = -(0)
    dfdy[indx[45], indx[44]] = -(0)
    dfdy[indx[45], indx[45]] = -(-M*k[476] - M*k[498] - k[447]*y[:,23] - k[449]*y[:,13] - k[629] - k[631] - k[633])
    dfdy[indx[45], indx[46]] = -(0)
    dfdy[indx[45], indx[47]] = -(0)
    dfdy[indx[45], indx[48]] = -(0)
    dfdy[indx[45], indx[49]] = -(k[634]*y[:,9])
    dfdy[indx[45], indx[50]] = -(0)
    dfdy[indx[45], indx[51]] = -(0)
    dfdy[indx[45], indx[52]] = -(0)
    dfdy[indx[46], indx[0]] = -(0)
    dfdy[indx[46], indx[1]] = -(k[451]*y[:,33])
    dfdy[indx[46], indx[2]] = -(0)
    dfdy[indx[46], indx[3]] = -(0)
    dfdy[indx[46], indx[4]] = -(0)
    dfdy[indx[46], indx[5]] = -(0)
    dfdy[indx[46], indx[6]] = -(0)
    dfdy[indx[46], indx[7]] = -(0)
    dfdy[indx[46], indx[8]] = -(0)
    dfdy[indx[46], indx[9]] = -(-k[452]*y[:,46] - k[454]*y[:,34]*y[:,46])
    dfdy[indx[46], indx[10]] = -(0)
    dfdy[indx[46], indx[11]] = -(0)
    dfdy[indx[46], indx[12]] = -(0)
    dfdy[indx[46], indx[13]] = -(0)
    dfdy[indx[46], indx[14]] = -(M*k[513]*y[:,17] + k[453]*y[:,41])
    dfdy[indx[46], indx[15]] = -(0)
    dfdy[indx[46], indx[16]] = -(0)
    dfdy[indx[46], indx[17]] = -(M*k[513]*y[:,14])
    dfdy[indx[46], indx[18]] = -(0)
    dfdy[indx[46], indx[19]] = -(0)
    dfdy[indx[46], indx[20]] = -(0)
    dfdy[indx[46], indx[21]] = -(0)
    dfdy[indx[46], indx[22]] = -(0)
    dfdy[indx[46], indx[23]] = -(0)
    dfdy[indx[46], indx[24]] = -(0)
    dfdy[indx[46], indx[25]] = -(0)
    dfdy[indx[46], indx[26]] = -(0)
    dfdy[indx[46], indx[27]] = -(0)
    dfdy[indx[46], indx[28]] = -(0)
    dfdy[indx[46], indx[29]] = -(0)
    dfdy[indx[46], indx[30]] = -(0)
    dfdy[indx[46], indx[31]] = -(0)
    dfdy[indx[46], indx[32]] = -(0)
    dfdy[indx[46], indx[33]] = -(k[451]*y[:,1])
    dfdy[indx[46], indx[34]] = -(-k[454]*y[:,46]*y[:,9])
    dfdy[indx[46], indx[35]] = -(0)
    dfdy[indx[46], indx[36]] = -(0)
    dfdy[indx[46], indx[37]] = -(0)
    dfdy[indx[46], indx[38]] = -(0)
    dfdy[indx[46], indx[39]] = -(0)
    dfdy[indx[46], indx[40]] = -(0)
    dfdy[indx[46], indx[41]] = -(k[453]*y[:,14])
    dfdy[indx[46], indx[42]] = -(0)
    dfdy[indx[46], indx[43]] = -(0)
    dfdy[indx[46], indx[44]] = -(0)
    dfdy[indx[46], indx[45]] = -(0)
    dfdy[indx[46], indx[46]] = -(-M*k[514] - k[452]*y[:,9] - k[454]*y[:,34]*y[:,9])
    dfdy[indx[46], indx[47]] = -(0)
    dfdy[indx[46], indx[48]] = -(0)
    dfdy[indx[46], indx[49]] = -(0)
    dfdy[indx[46], indx[50]] = -(0)
    dfdy[indx[46], indx[51]] = -(0)
    dfdy[indx[46], indx[52]] = -(0)
    dfdy[indx[47], indx[0]] = -(0)
    dfdy[indx[47], indx[1]] = -(0)
    dfdy[indx[47], indx[2]] = -(0)
    dfdy[indx[47], indx[3]] = -(0)
    dfdy[indx[47], indx[4]] = -(0)
    dfdy[indx[47], indx[5]] = -(0)
    dfdy[indx[47], indx[6]] = -(0)
    dfdy[indx[47], indx[7]] = -(0)
    dfdy[indx[47], indx[8]] = -(0)
    dfdy[indx[47], indx[9]] = -(0)
    dfdy[indx[47], indx[10]] = -(0)
    dfdy[indx[47], indx[11]] = -(0)
    dfdy[indx[47], indx[12]] = -(0)
    dfdy[indx[47], indx[13]] = -(0)
    dfdy[indx[47], indx[14]] = -(0)
    dfdy[indx[47], indx[15]] = -(k[571])
    dfdy[indx[47], indx[16]] = -(0)
    dfdy[indx[47], indx[17]] = -(0)
    dfdy[indx[47], indx[18]] = -(0)
    dfdy[indx[47], indx[19]] = -(0)
    dfdy[indx[47], indx[20]] = -(0)
    dfdy[indx[47], indx[21]] = -(0)
    dfdy[indx[47], indx[22]] = -(0)
    dfdy[indx[47], indx[23]] = -(0)
    dfdy[indx[47], indx[24]] = -(0)
    dfdy[indx[47], indx[25]] = -(0)
    dfdy[indx[47], indx[26]] = -(0)
    dfdy[indx[47], indx[27]] = -(0)
    dfdy[indx[47], indx[28]] = -(0)
    dfdy[indx[47], indx[29]] = -(0)
    dfdy[indx[47], indx[30]] = -(0)
    dfdy[indx[47], indx[31]] = -(0)
    dfdy[indx[47], indx[32]] = -(0)
    dfdy[indx[47], indx[33]] = -(0)
    dfdy[indx[47], indx[34]] = -(0)
    dfdy[indx[47], indx[35]] = -(0)
    dfdy[indx[47], indx[36]] = -(0)
    dfdy[indx[47], indx[37]] = -(0)
    dfdy[indx[47], indx[38]] = -(0)
    dfdy[indx[47], indx[39]] = -(0)
    dfdy[indx[47], indx[40]] = -(0)
    dfdy[indx[47], indx[41]] = -(0)
    dfdy[indx[47], indx[42]] = -(0)
    dfdy[indx[47], indx[43]] = -(0)
    dfdy[indx[47], indx[44]] = -(0)
    dfdy[indx[47], indx[45]] = -(0)
    dfdy[indx[47], indx[46]] = -(0)
    dfdy[indx[47], indx[47]] = -(-k[572] - k[661])
    dfdy[indx[47], indx[48]] = -(0)
    dfdy[indx[47], indx[49]] = -(0)
    dfdy[indx[47], indx[50]] = -(0)
    dfdy[indx[47], indx[51]] = -(k[662])
    dfdy[indx[47], indx[52]] = -(0)
    dfdy[indx[48], indx[0]] = -(0)
    dfdy[indx[48], indx[1]] = -(0)
    dfdy[indx[48], indx[2]] = -(0)
    dfdy[indx[48], indx[3]] = -(0)
    dfdy[indx[48], indx[4]] = -(0)
    dfdy[indx[48], indx[5]] = -(0)
    dfdy[indx[48], indx[6]] = -(0)
    dfdy[indx[48], indx[7]] = -(0)
    dfdy[indx[48], indx[8]] = -(0)
    dfdy[indx[48], indx[9]] = -(-k[606]*y[:,48])
    dfdy[indx[48], indx[10]] = -(0)
    dfdy[indx[48], indx[11]] = -(0)
    dfdy[indx[48], indx[12]] = -(0)
    dfdy[indx[48], indx[13]] = -(0)
    dfdy[indx[48], indx[14]] = -(0)
    dfdy[indx[48], indx[15]] = -(0)
    dfdy[indx[48], indx[16]] = -(0)
    dfdy[indx[48], indx[17]] = -(0)
    dfdy[indx[48], indx[18]] = -(0)
    dfdy[indx[48], indx[19]] = -(0)
    dfdy[indx[48], indx[20]] = -(0)
    dfdy[indx[48], indx[21]] = -(0)
    dfdy[indx[48], indx[22]] = -(0)
    dfdy[indx[48], indx[23]] = -(0)
    dfdy[indx[48], indx[24]] = -(0)
    dfdy[indx[48], indx[25]] = -(0)
    dfdy[indx[48], indx[26]] = -(0)
    dfdy[indx[48], indx[27]] = -(0)
    dfdy[indx[48], indx[28]] = -(0)
    dfdy[indx[48], indx[29]] = -(0)
    dfdy[indx[48], indx[30]] = -(0)
    dfdy[indx[48], indx[31]] = -(0)
    dfdy[indx[48], indx[32]] = -(0)
    dfdy[indx[48], indx[33]] = -(k[605])
    dfdy[indx[48], indx[34]] = -(0)
    dfdy[indx[48], indx[35]] = -(0)
    dfdy[indx[48], indx[36]] = -(0)
    dfdy[indx[48], indx[37]] = -(0)
    dfdy[indx[48], indx[38]] = -(0)
    dfdy[indx[48], indx[39]] = -(0)
    dfdy[indx[48], indx[40]] = -(0)
    dfdy[indx[48], indx[41]] = -(0)
    dfdy[indx[48], indx[42]] = -(0)
    dfdy[indx[48], indx[43]] = -(0)
    dfdy[indx[48], indx[44]] = -(0)
    dfdy[indx[48], indx[45]] = -(0)
    dfdy[indx[48], indx[46]] = -(0)
    dfdy[indx[48], indx[47]] = -(0)
    dfdy[indx[48], indx[48]] = -(-k[606]*y[:,9])
    dfdy[indx[48], indx[49]] = -(0)
    dfdy[indx[48], indx[50]] = -(0)
    dfdy[indx[48], indx[51]] = -(0)
    dfdy[indx[48], indx[52]] = -(0)
    dfdy[indx[49], indx[0]] = -(0)
    dfdy[indx[49], indx[1]] = -(0)
    dfdy[indx[49], indx[2]] = -(0)
    dfdy[indx[49], indx[3]] = -(0)
    dfdy[indx[49], indx[4]] = -(0)
    dfdy[indx[49], indx[5]] = -(0)
    dfdy[indx[49], indx[6]] = -(0)
    dfdy[indx[49], indx[7]] = -(0)
    dfdy[indx[49], indx[8]] = -(0)
    dfdy[indx[49], indx[9]] = -(-k[634]*y[:,49])
    dfdy[indx[49], indx[10]] = -(0)
    dfdy[indx[49], indx[11]] = -(0)
    dfdy[indx[49], indx[12]] = -(0)
    dfdy[indx[49], indx[13]] = -(0)
    dfdy[indx[49], indx[14]] = -(0)
    dfdy[indx[49], indx[15]] = -(0)
    dfdy[indx[49], indx[16]] = -(0)
    dfdy[indx[49], indx[17]] = -(0)
    dfdy[indx[49], indx[18]] = -(0)
    dfdy[indx[49], indx[19]] = -(0)
    dfdy[indx[49], indx[20]] = -(0)
    dfdy[indx[49], indx[21]] = -(0)
    dfdy[indx[49], indx[22]] = -(0)
    dfdy[indx[49], indx[23]] = -(0)
    dfdy[indx[49], indx[24]] = -(0)
    dfdy[indx[49], indx[25]] = -(0)
    dfdy[indx[49], indx[26]] = -(0)
    dfdy[indx[49], indx[27]] = -(0)
    dfdy[indx[49], indx[28]] = -(0)
    dfdy[indx[49], indx[29]] = -(0)
    dfdy[indx[49], indx[30]] = -(0)
    dfdy[indx[49], indx[31]] = -(0)
    dfdy[indx[49], indx[32]] = -(0)
    dfdy[indx[49], indx[33]] = -(0)
    dfdy[indx[49], indx[34]] = -(0)
    dfdy[indx[49], indx[35]] = -(0)
    dfdy[indx[49], indx[36]] = -(0)
    dfdy[indx[49], indx[37]] = -(0)
    dfdy[indx[49], indx[38]] = -(0)
    dfdy[indx[49], indx[39]] = -(0)
    dfdy[indx[49], indx[40]] = -(0)
    dfdy[indx[49], indx[41]] = -(0)
    dfdy[indx[49], indx[42]] = -(0)
    dfdy[indx[49], indx[43]] = -(0)
    dfdy[indx[49], indx[44]] = -(0)
    dfdy[indx[49], indx[45]] = -(k[633])
    dfdy[indx[49], indx[46]] = -(0)
    dfdy[indx[49], indx[47]] = -(0)
    dfdy[indx[49], indx[48]] = -(0)
    dfdy[indx[49], indx[49]] = -(-k[634]*y[:,9])
    dfdy[indx[49], indx[50]] = -(0)
    dfdy[indx[49], indx[51]] = -(0)
    dfdy[indx[49], indx[52]] = -(0)
    dfdy[indx[50], indx[0]] = -(0)
    dfdy[indx[50], indx[1]] = -(0)
    dfdy[indx[50], indx[2]] = -(k[654]*y[:,22])
    dfdy[indx[50], indx[3]] = -(0)
    dfdy[indx[50], indx[4]] = -(0)
    dfdy[indx[50], indx[5]] = -(0)
    dfdy[indx[50], indx[6]] = -(0)
    dfdy[indx[50], indx[7]] = -(0)
    dfdy[indx[50], indx[8]] = -(k[656]*y[:,9])
    dfdy[indx[50], indx[9]] = -(k[656]*y[:,8])
    dfdy[indx[50], indx[10]] = -(0)
    dfdy[indx[50], indx[11]] = -(0)
    dfdy[indx[50], indx[12]] = -(0)
    dfdy[indx[50], indx[13]] = -(0)
    dfdy[indx[50], indx[14]] = -(0)
    dfdy[indx[50], indx[15]] = -(0)
    dfdy[indx[50], indx[16]] = -(0)
    dfdy[indx[50], indx[17]] = -(0)
    dfdy[indx[50], indx[18]] = -(0)
    dfdy[indx[50], indx[19]] = -(0)
    dfdy[indx[50], indx[20]] = -(0)
    dfdy[indx[50], indx[21]] = -(0)
    dfdy[indx[50], indx[22]] = -(k[654]*y[:,2])
    dfdy[indx[50], indx[23]] = -(0)
    dfdy[indx[50], indx[24]] = -(0)
    dfdy[indx[50], indx[25]] = -(0)
    dfdy[indx[50], indx[26]] = -(0)
    dfdy[indx[50], indx[27]] = -(0)
    dfdy[indx[50], indx[28]] = -(0)
    dfdy[indx[50], indx[29]] = -(0)
    dfdy[indx[50], indx[30]] = -(0)
    dfdy[indx[50], indx[31]] = -(0)
    dfdy[indx[50], indx[32]] = -(0)
    dfdy[indx[50], indx[33]] = -(0)
    dfdy[indx[50], indx[34]] = -(0)
    dfdy[indx[50], indx[35]] = -(0)
    dfdy[indx[50], indx[36]] = -(0)
    dfdy[indx[50], indx[37]] = -(0)
    dfdy[indx[50], indx[38]] = -(0)
    dfdy[indx[50], indx[39]] = -(0)
    dfdy[indx[50], indx[40]] = -(0)
    dfdy[indx[50], indx[41]] = -(0)
    dfdy[indx[50], indx[42]] = -(0)
    dfdy[indx[50], indx[43]] = -(0)
    dfdy[indx[50], indx[44]] = -(0)
    dfdy[indx[50], indx[45]] = -(0)
    dfdy[indx[50], indx[46]] = -(0)
    dfdy[indx[50], indx[47]] = -(0)
    dfdy[indx[50], indx[48]] = -(0)
    dfdy[indx[50], indx[49]] = -(0)
    dfdy[indx[50], indx[50]] = -(-k[653] - k[655])
    dfdy[indx[50], indx[51]] = -(0)
    dfdy[indx[50], indx[52]] = -(0)
    dfdy[indx[51], indx[0]] = -(0)
    dfdy[indx[51], indx[1]] = -(0)
    dfdy[indx[51], indx[2]] = -(0)
    dfdy[indx[51], indx[3]] = -(0)
    dfdy[indx[51], indx[4]] = -(0)
    dfdy[indx[51], indx[5]] = -(0)
    dfdy[indx[51], indx[6]] = -(0)
    dfdy[indx[51], indx[7]] = -(0)
    dfdy[indx[51], indx[8]] = -(0)
    dfdy[indx[51], indx[9]] = -(0)
    dfdy[indx[51], indx[10]] = -(0)
    dfdy[indx[51], indx[11]] = -(0)
    dfdy[indx[51], indx[12]] = -(0)
    dfdy[indx[51], indx[13]] = -(0)
    dfdy[indx[51], indx[14]] = -(0)
    dfdy[indx[51], indx[15]] = -(0)
    dfdy[indx[51], indx[16]] = -(0)
    dfdy[indx[51], indx[17]] = -(0)
    dfdy[indx[51], indx[18]] = -(0)
    dfdy[indx[51], indx[19]] = -(0)
    dfdy[indx[51], indx[20]] = -(0)
    dfdy[indx[51], indx[21]] = -(0)
    dfdy[indx[51], indx[22]] = -(0)
    dfdy[indx[51], indx[23]] = -(0)
    dfdy[indx[51], indx[24]] = -(0)
    dfdy[indx[51], indx[25]] = -(0)
    dfdy[indx[51], indx[26]] = -(0)
    dfdy[indx[51], indx[27]] = -(0)
    dfdy[indx[51], indx[28]] = -(0)
    dfdy[indx[51], indx[29]] = -(0)
    dfdy[indx[51], indx[30]] = -(0)
    dfdy[indx[51], indx[31]] = -(0)
    dfdy[indx[51], indx[32]] = -(0)
    dfdy[indx[51], indx[33]] = -(0)
    dfdy[indx[51], indx[34]] = -(0)
    dfdy[indx[51], indx[35]] = -(0)
    dfdy[indx[51], indx[36]] = -(0)
    dfdy[indx[51], indx[37]] = -(0)
    dfdy[indx[51], indx[38]] = -(0)
    dfdy[indx[51], indx[39]] = -(0)
    dfdy[indx[51], indx[40]] = -(0)
    dfdy[indx[51], indx[41]] = -(0)
    dfdy[indx[51], indx[42]] = -(0)
    dfdy[indx[51], indx[43]] = -(0)
    dfdy[indx[51], indx[44]] = -(0)
    dfdy[indx[51], indx[45]] = -(0)
    dfdy[indx[51], indx[46]] = -(0)
    dfdy[indx[51], indx[47]] = -(k[661])
    dfdy[indx[51], indx[48]] = -(0)
    dfdy[indx[51], indx[49]] = -(0)
    dfdy[indx[51], indx[50]] = -(0)
    dfdy[indx[51], indx[51]] = -(-k[662])
    dfdy[indx[51], indx[52]] = -(0)
    dfdy[indx[52], indx[0]] = -(0)
    dfdy[indx[52], indx[1]] = -(0)
    dfdy[indx[52], indx[2]] = -(0)
    dfdy[indx[52], indx[3]] = -(0)
    dfdy[indx[52], indx[4]] = -(0)
    dfdy[indx[52], indx[5]] = -(0)
    dfdy[indx[52], indx[6]] = -(0)
    dfdy[indx[52], indx[7]] = -(0)
    dfdy[indx[52], indx[8]] = -(0)
    dfdy[indx[52], indx[9]] = -(0)
    dfdy[indx[52], indx[10]] = -(0)
    dfdy[indx[52], indx[11]] = -(k[663])
    dfdy[indx[52], indx[12]] = -(0)
    dfdy[indx[52], indx[13]] = -(0)
    dfdy[indx[52], indx[14]] = -(0)
    dfdy[indx[52], indx[15]] = -(0)
    dfdy[indx[52], indx[16]] = -(0)
    dfdy[indx[52], indx[17]] = -(0)
    dfdy[indx[52], indx[18]] = -(0)
    dfdy[indx[52], indx[19]] = -(0)
    dfdy[indx[52], indx[20]] = -(0)
    dfdy[indx[52], indx[21]] = -(0)
    dfdy[indx[52], indx[22]] = -(0)
    dfdy[indx[52], indx[23]] = -(0)
    dfdy[indx[52], indx[24]] = -(0)
    dfdy[indx[52], indx[25]] = -(0)
    dfdy[indx[52], indx[26]] = -(0)
    dfdy[indx[52], indx[27]] = -(0)
    dfdy[indx[52], indx[28]] = -(0)
    dfdy[indx[52], indx[29]] = -(0)
    dfdy[indx[52], indx[30]] = -(0)
    dfdy[indx[52], indx[31]] = -(0)
    dfdy[indx[52], indx[32]] = -(0)
    dfdy[indx[52], indx[33]] = -(0)
    dfdy[indx[52], indx[34]] = -(0)
    dfdy[indx[52], indx[35]] = -(0)
    dfdy[indx[52], indx[36]] = -(0)
    dfdy[indx[52], indx[37]] = -(0)
    dfdy[indx[52], indx[38]] = -(0)
    dfdy[indx[52], indx[39]] = -(0)
    dfdy[indx[52], indx[40]] = -(0)
    dfdy[indx[52], indx[41]] = -(0)
    dfdy[indx[52], indx[42]] = -(0)
    dfdy[indx[52], indx[43]] = -(0)
    dfdy[indx[52], indx[44]] = -(0)
    dfdy[indx[52], indx[45]] = -(0)
    dfdy[indx[52], indx[46]] = -(0)
    dfdy[indx[52], indx[47]] = -(0)
    dfdy[indx[52], indx[48]] = -(0)
    dfdy[indx[52], indx[49]] = -(0)
    dfdy[indx[52], indx[50]] = -(0)
    dfdy[indx[52], indx[51]] = -(0)
    dfdy[indx[52], indx[52]] = -(-k[664])
    return dfdy