Series for geodesic calculations

This extends the series given here to 30th order in the flattening.
// Generated by Maxima on 2010-05-01 06:36:46-04:00

A1 = (1 + 1/4 * eps^2
        + 1/64 * eps^4
        + 1/256 * eps^6
        + 25/16384 * eps^8
        + 49/65536 * eps^10
        + 441/1048576 * eps^12
        + 1089/4194304 * eps^14
        + 184041/1073741824 * eps^16
        + 511225/4294967296 * eps^18
        + 5909761/68719476736 * eps^20
        + 17631601/274877906944 * eps^22
        + 863948449/17592186044416 * eps^24
        + 2704312009/70368744177664 * eps^26
        + 34493775625/1125899906842624 * eps^28
        + 111759833025/4503599627370496 * eps^30) / (1 - eps);

C1[1] = - 1/2 * eps
        + 3/16 * eps^3
        - 1/32 * eps^5
        + 19/2048 * eps^7
        - 3/4096 * eps^9
        + 53/65536 * eps^11
        + 29/131072 * eps^13
        + 13827/67108864 * eps^15
        + 17321/134217728 * eps^17
        + 205579/2147483648 * eps^19
        + 302847/4294967296 * eps^21
        + 29656189/549755813888 * eps^23
        + 46250107/1099511627776 * eps^25
        + 588536103/17592186044416 * eps^27
        + 951224759/35184372088832 * eps^29;
C1[2] = - 1/16 * eps^2
        + 1/32 * eps^4
        - 9/2048 * eps^6
        + 7/4096 * eps^8
        + 1/65536 * eps^10
        + 27/131072 * eps^12
        + 5735/67108864 * eps^14
        + 8995/134217728 * eps^16
        + 96543/2147483648 * eps^18
        + 142801/4294967296 * eps^20
        + 13684121/549755813888 * eps^22
        + 21112497/1099511627776 * eps^24
        + 265707563/17592186044416 * eps^26
        + 425659393/35184372088832 * eps^28
        + 1417935787335/144115188075855872 * eps^30;
C1[3] = - 1/48 * eps^3
        + 3/256 * eps^5
        - 3/2048 * eps^7
        + 17/24576 * eps^9
        + 3/65536 * eps^11
        + 843/8388608 * eps^13
        + 9719/201326592 * eps^15
        + 9801/268435456 * eps^17
        + 54189/2147483648 * eps^19
        + 3873871/206158430208 * eps^21
        + 7822227/549755813888 * eps^23
        + 24333681/2199023255552 * eps^25
        + 462823139/52776558133248 * eps^27
        + 127352837355/18014398509481984 * eps^29;
C1[4] = - 5/512 * eps^4
        + 3/512 * eps^6
        - 11/16384 * eps^8
        + 3/8192 * eps^10
        + 651/16777216 * eps^12
        + 1009/16777216 * eps^14
        + 16763/536870912 * eps^16
        + 1569/67108864 * eps^18
        + 2263733/137438953472 * eps^20
        + 1698897/137438953472 * eps^22
        + 41547591/4398046511104 * eps^24
        + 16273415/2199023255552 * eps^26
        + 212683932395/36028797018963968 * eps^28
        + 172435304205/36028797018963968 * eps^30;
C1[5] = - 7/1280 * eps^5
        + 7/2048 * eps^7
        - 3/8192 * eps^9
        + 117/524288 * eps^11
        + 253/8388608 * eps^13
        + 13419/335544320 * eps^15
        + 5855/268435456 * eps^17
        + 70025/4294967296 * eps^19
        + 800595/68719476736 * eps^21
        + 4842105/549755813888 * eps^23
        + 74591411/10995116277760 * eps^25
        + 6021893805/1125899906842624 * eps^27
        + 77302095005/18014398509481984 * eps^29;
C1[6] = - 7/2048 * eps^6
        + 9/4096 * eps^8
        - 117/524288 * eps^10
        + 467/3145728 * eps^12
        + 1569/67108864 * eps^14
        + 3813/134217728 * eps^16
        + 206677/12884901888 * eps^18
        + 103137/8589934592 * eps^20
        + 4770087/549755813888 * eps^22
        + 21782093/3298534883328 * eps^24
        + 5765474835/1125899906842624 * eps^26
        + 9142699905/2251799813685248 * eps^28
        + 1415580640915/432345564227567616 * eps^30;
C1[7] = - 33/14336 * eps^7
        + 99/65536 * eps^9
        - 77/524288 * eps^11
        + 55/524288 * eps^13
        + 1233/67108864 * eps^15
        + 11345/536870912 * eps^17
        + 52591/4294967296 * eps^19
        + 552591/60129542144 * eps^21
        + 3685111/549755813888 * eps^23
        + 722278195/140737488355328 * eps^25
        + 4507296795/1125899906842624 * eps^27
        + 1795935355/562949953421312 * eps^29;
C1[8] = - 429/262144 * eps^8
        + 143/131072 * eps^10
        - 429/4194304 * eps^12
        + 325/4194304 * eps^14
        + 31525/2147483648 * eps^16
        + 8733/536870912 * eps^18
        + 165251/17179869184 * eps^20
        + 124411/17179869184 * eps^22
        + 2996969235/562949953421312 * eps^24
        + 1153418845/281474976710656 * eps^26
        + 28941724625/9007199254740992 * eps^28
        + 23168297355/9007199254740992 * eps^30;
C1[9] = - 715/589824 * eps^9
        + 429/524288 * eps^11
        - 39/524288 * eps^13
        + 11921/201326592 * eps^15
        + 6399/536870912 * eps^17
        + 55233/4294967296 * eps^19
        + 199205/25769803776 * eps^21
        + 25677825/4398046511104 * eps^23
        + 608155005/140737488355328 * eps^25
        + 33866001805/10133099161583616 * eps^27
        + 1482164085/562949953421312 * eps^29;
C1[10] = - 2431/2621440 * eps^10
        + 663/1048576 * eps^12
        - 3757/67108864 * eps^14
        + 6239/134217728 * eps^16
        + 42177/4294967296 * eps^18
        + 446131/42949672960 * eps^20
        + 27835817/4398046511104 * eps^22
        + 42180321/8796093022208 * eps^24
        + 4019599397/1125899906842624 * eps^26
        + 6244603111/2251799813685248 * eps^28
        + 316153750539/144115188075855872 * eps^30;
C1[11] = - 4199/5767168 * eps^11
        + 4199/8388608 * eps^13
        - 2907/67108864 * eps^15
        + 10013/268435456 * eps^17
        + 35207/4294967296 * eps^19
        + 4694805/549755813888 * eps^21
        + 23148175/4398046511104 * eps^23
        + 70365265/17592186044416 * eps^25
        + 3370190355/1125899906842624 * eps^27
        + 42049539055/18014398509481984 * eps^29;
C1[12] = - 29393/50331648 * eps^12
        + 6783/16777216 * eps^14
        - 18411/536870912 * eps^16
        + 6137/201326592 * eps^18
        + 7611495/1099511627776 * eps^20
        + 7835163/1099511627776 * eps^22
        + 468146111/105553116266496 * eps^24
        + 59462469/17592186044416 * eps^26
        + 91557125181/36028797018963968 * eps^28
        + 214950398465/108086391056891904 * eps^30;
C1[13] = - 52003/109051904 * eps^13
        + 22287/67108864 * eps^15
        - 7429/268435456 * eps^17
        + 869193/34359738368 * eps^19
        + 3247347/549755813888 * eps^21
        + 26486133/4398046511104 * eps^23
        + 66500935/17592186044416 * eps^25
        + 12703797/4398046511104 * eps^27
        + 39283195529/18014398509481984 * eps^29;
C1[14] = - 185725/469762048 * eps^14
        + 37145/134217728 * eps^16
        - 780045/34359738368 * eps^18
        + 1461765/68719476736 * eps^20
        + 22372215/4398046511104 * eps^22
        + 45260895/8796093022208 * eps^24
        + 57244355/17592186044416 * eps^26
        + 306953515/123145302310912 * eps^28
        + 272204273085/144115188075855872 * eps^30;
C1[15] = - 22287/67108864 * eps^15
        + 1002915/4294967296 * eps^17
        - 648945/34359738368 * eps^19
        + 1243265/68719476736 * eps^21
        + 19425915/4398046511104 * eps^23
        + 78089301/17592186044416 * eps^25
        + 12427015/4398046511104 * eps^27
        + 610648965/281474976710656 * eps^29;
C1[16] = - 9694845/34359738368 * eps^16
        + 1710855/8589934592 * eps^18
        - 4372185/274877906944 * eps^20
        + 4272135/274877906944 * eps^22
        + 543781755/140737488355328 * eps^24
        + 271745805/70368744177664 * eps^26
        + 5567912565/2251799813685248 * eps^28
        + 4284219735/2251799813685248 * eps^30;
C1[17] = - 17678835/73014444032 * eps^17
        + 5892945/34359738368 * eps^19
        - 930465/68719476736 * eps^21
        + 59239605/4398046511104 * eps^23
        + 59859915/17592186044416 * eps^25
        + 930465/274877906944 * eps^27
        + 613284315/281474976710656 * eps^29;
C1[18] = - 21607465/103079215104 * eps^18
        + 10235115/68719476736 * eps^20
        - 51175575/4398046511104 * eps^22
        + 103488385/8796093022208 * eps^24
        + 53036505/17592186044416 * eps^26
        + 52551045/17592186044416 * eps^28
        + 278415054335/144115188075855872 * eps^30;
C1[19] = - 119409675/652835028992 * eps^19
        + 71645805/549755813888 * eps^21
        - 44352165/4398046511104 * eps^23
        + 182060985/17592186044416 * eps^25
        + 2953215/1099511627776 * eps^27
        + 47776802115/18014398509481984 * eps^29;
C1[20] = - 176726319/1099511627776 * eps^20
        + 126233085/1099511627776 * eps^22
        - 309844845/35184372088832 * eps^24
        + 161159235/17592186044416 * eps^26
        + 86652277095/36028797018963968 * eps^28
        + 426519840213/180143985094819840 * eps^30;
C1[21] = - 547010035/3848290697216 * eps^21
        + 447553665/4398046511104 * eps^23
        - 136211985/17592186044416 * eps^25
        + 9182417465/1125899906842624 * eps^27
        + 38976086565/18014398509481984 * eps^29;
C1[22] = - 6116566755/48378511622144 * eps^22
        + 797813055/8796093022208 * eps^24
        - 7712192865/1125899906842624 * eps^26
        + 16434948933/2251799813685248 * eps^28
        + 281701652697/144115188075855872 * eps^30;
C1[23] = - 11435320455/101155069755392 * eps^23
        + 11435320455/140737488355328 * eps^25
        - 6861192273/1125899906842624 * eps^27
        + 3694488147/562949953421312 * eps^29;
C1[24] = - 57176602275/562949953421312 * eps^24
        + 20583576819/281474976710656 * eps^26
        - 49083913953/9007199254740992 * eps^28
        + 160153129039/27021597764222976 * eps^30;
C1[25] = - 322476036831/3518437208883200 * eps^25
        + 74417546961/1125899906842624 * eps^27
        - 2756205443/562949953421312 * eps^29;
C1[26] = - 1215486600363/14636698788954112 * eps^26
        + 135054066707/2251799813685248 * eps^28
        - 636683457333/144115188075855872 * eps^30;
C1[27] = - 2295919134019/30399297484750848 * eps^27
        + 983965343151/18014398509481984 * eps^29;
C1[28] = - 2483341104143/36028797018963968 * eps^28
        + 1798281489207/36028797018963968 * eps^30;
C1[29] = - 32968493968795/522417556774977536 * eps^29;
C1[30] = - 125280277081421/2161727821137838080 * eps^30;

C1'[1] = + 1/2 * eps
         - 9/32 * eps^3
         + 205/1536 * eps^5
         - 4879/73728 * eps^7
         + 9039/327680 * eps^9
         - 1050467/88473600 * eps^11
         + 512031157/118908518400 * eps^13
         - 1086005273/591900180480 * eps^15
         + 4075676109451/7671026339020800 * eps^17
         - 794840669327713/2761569482047488000 * eps^19
         + 2239087029841367/77148607752437760000 * eps^21
         - 40730402540905726093/641567822069272412160000 * eps^23
         - 97668067278655185143/4927240873492012125388800 * eps^25
         - 741941887011669089199917/28784819522671853552271360000 * eps^27
         - 68324470839108426239947872773/3917038240645185831393086668800000 * eps^29;
C1'[2] = + 5/16 * eps^2
         - 37/96 * eps^4
         + 1335/4096 * eps^6
         - 86171/368640 * eps^8
         + 4119073/28311552 * eps^10
         - 18357853/220200960 * eps^12
         + 167645485631/3805072588800 * eps^14
         - 2133468723257/95887829237760 * eps^16
         + 59947666093201/5682241732608000 * eps^18
         - 29889474712770151/6075452860504473600 * eps^20
         + 3112904386445139443/1458108686521073664000 * eps^22
         - 4531132450329984761/4728107532256542720000 * eps^24
         + 1671560053825711640749861/4483789194877731034103808000 * eps^26
         - 1539092646053487110737563637/8743388930011575516502425600000 * eps^28
         + 3620358411657954539738131669/69636235389247748113654874112000 * eps^30;
C1'[3] = + 29/96 * eps^3
         - 75/128 * eps^5
         + 2901/4096 * eps^7
         - 443327/655360 * eps^9
         + 1152507/2097152 * eps^11
         - 1170339447/2936012800 * eps^13
         + 14896648073/56371445760 * eps^15
         - 1719099273321/10522669875200 * eps^17
         + 440255022166233/4629974745088000 * eps^19
         - 4689329894241941/88895515105689600 * eps^21
         + 4309464445273351209/154085559516528640000 * eps^23
         - 77740899024366984327/5423811694981808128000 * eps^25
         + 4025440507207669842667/569500227973089853440000 * eps^27
         - 10783702637849849812840017/3158827931157405053747200000 * eps^29;
C1'[4] = + 539/1536 * eps^4
         - 2391/2560 * eps^6
         + 1082857/737280 * eps^8
         - 2722891/1548288 * eps^10
         + 6190623251/3523215360 * eps^12
         - 2198240553463/1426902220800 * eps^14
         + 835898387989583/684913065984000 * eps^16
         - 62186045114429/69759664128000 * eps^18
         + 39435262997832698047/64804830512047718400 * eps^20
         - 14876456230497799912553/37910825849547915264000 * eps^22
         + 1136134446936925800945877/4717791661277073899520000 * eps^24
         - 45093458223482404762480843/318450937136202488217600000 * eps^26
         + 3448586228525796468187820868401/43044376270826217927396556800000 * eps^28
         - 9267292123878690223760617403717/211395714574502092487880867840000 * eps^30;
C1'[5] = + 3467/7680 * eps^5
         - 28223/18432 * eps^7
         + 1361343/458752 * eps^9
         - 211942939/49545216 * eps^11
         + 289319933243/57076088832 * eps^13
         - 2641923029237/507343011840 * eps^15
         + 164922300524827/34441342746624 * eps^17
         - 326226244879987219/81006038140059648 * eps^19
         + 905728657830831557/288021468942434304 * eps^21
         - 78322584746542259177147/33968099961194932076544 * eps^23
         + 13053248693785337495272007/8152343990686783698370560 * eps^25
         - 1878086576945897568602243/1771373509087498680139776 * eps^27
         + 39401408426156638969274880529/58540351728323656381259317248 * eps^29;
C1'[6] = + 38081/61440 * eps^6
         - 733437/286720 * eps^8
         + 10820079/1835008 * eps^10
         - 547525831/55050240 * eps^12
         + 45741465549/3355443200 * eps^14
         - 41464506827097/2583691264000 * eps^16
         + 33307900611667019/1984274890752000 * eps^18
         - 29549592050928009/1851989898035200 * eps^20
         + 1510642276897435153959/107859891661570048000 * eps^22
         - 3379725045215031439859/294163340895191040000 * eps^24
         + 3068085809843886425921127/345151653317024153600000 * eps^26
         - 120481724276440955567319861/18440959762938147635200000 * eps^28
         + 5351579260607165516870592929/1166336466888888019845120000 * eps^30;
C1'[7] = + 459485/516096 * eps^7
         - 709743/163840 * eps^9
         + 983638957/84934656 * eps^11
         - 570327360331/25480396800 * eps^13
         + 2524677004673/72477573120 * eps^15
         - 3979901788209089/86103356866560 * eps^17
         + 145501072048061969477/2686424734236672000 * eps^19
         - 767257565495432565461/13372425343755878400 * eps^21
         + 576429350583276368332877/10315870979468820480000 * eps^23
         - 15049813241233902040230469/297097084208702029824000 * eps^25
         + 1656087831553847819569877/38371513250126757888000 * eps^27
         - 222870544090985685701249717628901/6400184226857542607280537600000 * eps^29;
C1'[8] = + 109167851/82575360 * eps^8
         - 550835669/74317824 * eps^10
         + 29797006823/1321205760 * eps^12
         - 13775344174277/280284364800 * eps^14
         + 51602655250575029/602723498065920 * eps^16
         - 229269121915303969/1813751267328000 * eps^18
         + 83019178881141641377/506287738375372800 * eps^20
         - 132324024533588768532907/691082762882383872000 * eps^22
         + 396326201752354956063673999/1935504271293158522880000 * eps^24
         - 703889408095319694872984797279/3464746196041883071807488000 * eps^26
         + 673066976958864232412288090929279/3563738944500222588144844800000 * eps^28
         - 3842435239091994304467908471778509/23172222559128113984248479744000 * eps^30;
C1'[9] = + 83141299/41287680 * eps^9
         - 1172993649/91750400 * eps^11
         + 1409193884757/32296140800 * eps^13
         - 8205463797521/77510737920 * eps^15
         + 6267340235329209/30709016166400 * eps^17
         - 9985904736500570067/30094835843072000 * eps^19
         + 6818098564242858298663/14445521204674560000 * eps^21
         - 81179814711559538793297/134824864576962560000 * eps^23
         + 8228623619106009640781583/11735156212778821222400 * eps^25
         - 10637423815896802535794719059/14082187455334585466880000 * eps^27
         + 2713138463299280056775410984179/3567487488684761651609600000 * eps^29;
C1'[10] = + 9303339907/2972712960 * eps^10
         - 32258337779/1453326336 * eps^12
         + 105458791111591/1255673954304 * eps^14
         - 21991423000897853/97942568435712 * eps^16
         + 440758100714976799/928640648871936 * eps^18
         - 4436414286264685342183/5265392479103877120 * eps^20
         + 11983230751430888047165/9190503236254040064 * eps^22
         - 438407397616490706337835/243037752247606837248 * eps^24
         + 503750725100748248754169576435/221743756546680516595679232 * eps^26
         - 200204949675864221817037957885535/75836364738964736675722297344 * eps^28
         + 15426622123776978643737455613179549/5392808159215270163606918922240 * eps^30;
C1'[11] = + 230944143253/46714060800 * eps^11
         - 13820996202863/356725555200 * eps^13
         + 530891275077073/3297729576960 * eps^15
         - 5861919724284516433/12465417800908800 * eps^17
         + 25885301781901909490837/23933602177744896000 * eps^19
         - 110706057667150724184229/53185782617210880000 * eps^21
         + 2719521302806552306469953613/781192775081593405440000 * eps^23
         - 233567275961905041708130573/44996703844699780153344 * eps^25
         + 798884301221118236917664805229/113666887205034582343680000 * eps^27
         - 9934805882969858378831722690837171/1133916936886434459864268800000 * eps^29;
C1'[12] = + 306777964441/38755368960 * eps^12
         - 57044595387963/839699660800 * eps^14
         + 11568981229047951/37618544803840 * eps^16
         - 687397289384966383/705347715072000 * eps^18
         + 233327560280127272763/96303474697830400 * eps^20
         - 3739229605202668172763/744163213574144000 * eps^22
         + 65835782650063594518691/7289762092154880000 * eps^24
         - 14792936433071373028889379/1024668970784915456000 * eps^26
         + 74599042152248060866262559758871/3567487488684761651609600000 * eps^28
         - 16680060316657855648846944446971/599337898099039957470412800 * eps^30;
C1'[13] = + 2615671472444983/204047017574400 * eps^13
         - 1167820427927323/9766352977920 * eps^15
         + 24715664579918728243/42190644864614400 * eps^17
         - 5067175041833532570683/2531438691876864000 * eps^19
         + 93543614041472271515281/17487017757219225600 * eps^21
         - 11792083140833533278156043493/991513906834330091520000 * eps^23
         + 8268814159710166088320187726251/361704273213163617386496000 * eps^25
         - 24380431693719066689532645995167/625167879627690202890240000 * eps^27
         + 40946727771183021563590563999653687303/680582760477888662474430873600000 * eps^29;
C1'[14] = + 34216519493594561/1632376140595200 * eps^14
         - 1477329715340046517/6995897745408000 * eps^16
         + 9229913663063228233/8291434364928000 * eps^18
         - 18633370679636805385039/4566922048202342400 * eps^20
         + 613651924549596407462456317/52610941995290984448000 * eps^22
         - 30737516008559329681484121827/1110675442122809671680000 * eps^24
         + 271813271604582464710892651024459/4798117909970537781657600000 * eps^26
         - 20699812425639174189936631117519897/201520952218762586829619200000 * eps^28
         + 1211662551734777607545609062337329843/7206133351721085009678827520000 * eps^30;
C1'[15] = + 177298287500753/5129801564160 * eps^15
         - 5627790514610829/15047417921536 * eps^17
         + 17279798906736629091/8185795349315584 * eps^19
         - 115931060832532759571/14032792027398144 * eps^21
         + 2003356613292569725398363/79631417158142001152 * eps^23
         - 101051987173195622011224471/1592628343162840023040 * eps^25
         + 756303360522076489366917931/5488442290284248694784 * eps^27
         - 5815559636408944974046175630559/21975722930298131773915136 * eps^29;
C1'[16] = + 1259425185539653127243/21939135329599488000 * eps^16
         - 2293308899647899314723/3453382412992512000 * eps^18
         + 21460336637287899464532611/5370700328685954662400 * eps^20
         - 25456489696915892609916529129/1530649593675497078784000 * eps^22
         + 2553846684009183021840672953/47515526935735173120000 * eps^24
         - 29538537350054556934382434071434011/205719305389986807388569600000 * eps^26
         + 3770295466320560881269963263089000511/11433662446938214136964710400000 * eps^28
         - 519676261197496743489350631148600190213/777234965004088823221667758080000 * eps^30;
C1'[17] = + 1789450487559418666447/18648265030159564800 * eps^17
         - 233343808292218091539949/197452217966395392000 * eps^19
         + 20146628393835035886855197/2667798856079297740800 * eps^21
         - 239929099187527215432793286501/7203056911414103900160000 * eps^23
         + 62988069927933679012075753421807/553194770796603179532288000 * eps^25
         - 3378232317776013495553552510617097/10517530210207023413329920000 * eps^27
         + 7314657081705017862640836634319879174339/9405196215175528617136147660800000 * eps^29;
C1'[18] = + 212221079284639273481/1315574252568576000 * eps^18
         - 1260552943986821598063/598192737065369600 * eps^20
         + 3546697789798651658576181/248848178619193753600 * eps^22
         - 78517248057208956823851421/1182310350905671680000 * eps^24
         + 1067601202019151639052958889147/4459359360855952064512000 * eps^26
         - 40116098461444544658667493570308857/56410895914827793616076800000 * eps^28
         + 392210563613343460551402383435826349/216617840312938727485734912000 * eps^30;
C1'[19] = + 69532546869173713149501223/255108265612582846464000 * eps^19
         - 112316728120020126447652781/29837224048255303680000 * eps^21
         + 4848022300045341835150543297447/180455531043848076656640000 * eps^23
         - 125642956497967669586988251237879/952805203911517844747059200 * eps^25
         + 33298130071722823747096176158055463/66596830966654998455255040000 * eps^27
         - 6563632449843987460043036353052098320209/4207587780473262802403013427200000 * eps^29;
C1'[20] = + 5810177473683430838091097/12559176153234847825920 * eps^20
         - 4618600293785993240609142923/685731017966622691295232 * eps^22
         + 1356670146516048832626691899799/26819702036027909703991296 * eps^24
         - 2172503519024023685991761815076867/8327517482186665963089297408 * eps^26
         + 3793117143067735304052463936462682647/3654590529325348262658617376768 * eps^28
         - 48227737126007159325773215007655970673/14212296502931909910339067576320 * eps^30;
C1'[21] = + 80853671585727628548617/102547326354063360000 * eps^21
         - 33710670766735229663452761/2793193841644011520000 * eps^23
         + 7824467166805891507557010233/82231626697999699148800 * eps^25
         - 12690496274820158383049352282653/24669488009399909744640000 * eps^27
         + 56382836432185917384773311978295199/26314120543359903727616000000 * eps^29;
C1'[22] = + 924898009889615635728755915083/685731017966622691295232000 * eps^22
         - 34498885534979583771510062454227/1593112465983062818160640000 * eps^24
         + 579153806014612787074377437506223/3238703930845567705625395200 * eps^26
         - 1569950058036065954085485531335819511/1552386282642142415290368000000 * eps^28
         + 13441093380769154612428393473490856259941/3053881893191980641891039313920000 * eps^30;
C1'[23] = + 4016551943902862119978017069801911/1734899475455555408976936960000 * eps^23
         - 7042743315770579684284446742015447/181032988743188390501941248000 * eps^25
         + 600397969311873169056555916083822001/1787980135735193980266086400000 * eps^27
         - 223977408534083722217209433995298286356287/112964584975749555673211338752000000 * eps^29;
C1'[24] = + 33730424938117851020161782371647/8461634387224169042411520000 * eps^24
         - 2466848731962947446637554898208789/35256809946767371010048000000 * eps^26
         + 9241553981242966860439405699656735351/14666832937855226340179968000000 * eps^28
         - 34121931746328650162120952716097657509/8800099762713135804107980800000 * eps^30;
C1'[25] = + 251959060076566669691445659637541/36604472449172158079513395200 * eps^25
         - 10775075917257378388661547627353189/85536969693571680015929573376 * eps^27
         + 7072923673224417550895367212096744699801/5986219287034920454234815263145984 * eps^29;
C1'[26] = + 18043464502912016496703680586663352917/1514094087670302902379872256000000 * eps^26
         - 15705330809648579467084357186039173723679/69182452928935378770280316928000000 * eps^28
         + 762509129435444486126998095414252687404107/344374876801811663212062022041600000 * eps^30;
C1'[27] = + 819021838914972651233426418104059459/39600448932209111118485913600000 * eps^27
         - 4425211305648392775905209005851207973/10807140059472272040132608000000 * eps^29;
C1'[28] = + 137344334847260471742767128830849077140799/3817741892241658452955877081088000000 * eps^28
         - 3056545074816755404384556140143837530441/4134995887021777596105338388480000 * eps^30;
C1'[29] = + 2381352350093111938327626556685002210278872879/37975078602127776631552109325582336000000 * eps^29;
C1'[30] = + 20034557328168749612075941075238883149/182929433787470496587153418485760 * eps^30;

A2 = (1 + 1/4 * eps^2
        + 9/64 * eps^4
        + 25/256 * eps^6
        + 1225/16384 * eps^8
        + 3969/65536 * eps^10
        + 53361/1048576 * eps^12
        + 184041/4194304 * eps^14
        + 41409225/1073741824 * eps^16
        + 147744025/4294967296 * eps^18
        + 2133423721/68719476736 * eps^20
        + 7775536041/274877906944 * eps^22
        + 457028729521/17592186044416 * eps^24
        + 1690195005625/70368744177664 * eps^26
        + 25145962430625/1125899906842624 * eps^28
        + 93990019574025/4503599627370496 * eps^30) * (1 - eps);

C2[1] = + 1/2 * eps
        + 1/16 * eps^3
        + 1/32 * eps^5
        + 41/2048 * eps^7
        + 59/4096 * eps^9
        + 727/65536 * eps^11
        + 1171/131072 * eps^13
        + 498409/67108864 * eps^15
        + 848479/134217728 * eps^17
        + 11768921/2147483648 * eps^19
        + 20705249/4294967296 * eps^21
        + 2359256231/549755813888 * eps^23
        + 4242171053/1099511627776 * eps^25
        + 61534748221/17592186044416 * eps^27
        + 112374407161/35184372088832 * eps^29;
C2[2] = + 3/16 * eps^2
        + 1/32 * eps^4
        + 35/2048 * eps^6
        + 47/4096 * eps^8
        + 557/65536 * eps^10
        + 875/131072 * eps^12
        + 365987/67108864 * eps^14
        + 615099/134217728 * eps^16
        + 8448195/2147483648 * eps^18
        + 14747697/4294967296 * eps^20
        + 1669842701/549755813888 * eps^22
        + 2986894505/1099511627776 * eps^24
        + 43136495023/17592186044416 * eps^26
        + 78481301201/35184372088832 * eps^28
        + 294392827406755/144115188075855872 * eps^30;
C2[3] = + 5/48 * eps^3
        + 5/256 * eps^5
        + 23/2048 * eps^7
        + 191/24576 * eps^9
        + 385/65536 * eps^11
        + 39277/8388608 * eps^13
        + 778613/201326592 * eps^15
        + 879927/268435456 * eps^17
        + 6084639/2147483648 * eps^19
        + 512739193/206158430208 * eps^21
        + 1215236729/549755813888 * eps^23
        + 4364918719/2199023255552 * eps^25
        + 94882584065/52776558133248 * eps^27
        + 29549676515117/18014398509481984 * eps^29;
C2[4] = + 35/512 * eps^4
        + 7/512 * eps^6
        + 133/16384 * eps^8
        + 47/8192 * eps^10
        + 73859/16777216 * eps^12
        + 59533/16777216 * eps^14
        + 1587387/536870912 * eps^16
        + 169365/67108864 * eps^18
        + 301539693/137438953472 * eps^20
        + 265958173/137438953472 * eps^22
        + 7594835095/4398046511104 * eps^24
        + 3421780579/2199023255552 * eps^26
        + 50930607972739/36028797018963968 * eps^28
        + 46591933629593/36028797018963968 * eps^30;
C2[5] = + 63/1280 * eps^5
        + 21/2048 * eps^7
        + 51/8192 * eps^9
        + 2343/524288 * eps^11
        + 29099/8388608 * eps^13
        + 946609/335544320 * eps^15
        + 635521/268435456 * eps^17
        + 8729875/4294967296 * eps^19
        + 122017589/68719476736 * eps^21
        + 864489227/549755813888 * eps^23
        + 15483449661/10995116277760 * eps^25
        + 1433014740399/1125899906842624 * eps^27
        + 20884832418219/18014398509481984 * eps^29;
C2[6] = + 77/2048 * eps^6
        + 33/4096 * eps^8
        + 2607/524288 * eps^10
        + 11363/3145728 * eps^12
        + 189893/67108864 * eps^14
        + 311117/134217728 * eps^16
        + 25213345/12884901888 * eps^18
        + 14502017/8589934592 * eps^20
        + 814144243/549755813888 * eps^22
        + 4341484325/3298534883328 * eps^24
        + 1331147570487/1125899906842624 * eps^26
        + 2412694071441/2251799813685248 * eps^28
        + 422949801695839/432345564227567616 * eps^30;
C2[7] = + 429/14336 * eps^7
        + 429/65536 * eps^9
        + 2145/524288 * eps^11
        + 1573/524288 * eps^13
        + 158899/67108864 * eps^15
        + 1047631/536870912 * eps^17
        + 7110437/4294967296 * eps^19
        + 86245121/60129542144 * eps^21
        + 694168021/549755813888 * eps^23
        + 158428784829/140737488355328 * eps^25
        + 1141580229945/1125899906842624 * eps^27
        + 518508038199/562949953421312 * eps^29;
C2[8] = + 6435/262144 * eps^8
        + 715/131072 * eps^10
        + 14443/4194304 * eps^12
        + 10673/4194304 * eps^14
        + 4339205/2147483648 * eps^16
        + 898561/536870912 * eps^18
        + 24498667/17179869184 * eps^20
        + 21302303/17179869184 * eps^22
        + 616428279683/562949953421312 * eps^24
        + 275528165297/281474976710656 * eps^26
        + 7960491282361/9007199254740992 * eps^28
        + 7246735300607/9007199254740992 * eps^30;
C2[9] = + 12155/589824 * eps^9
        + 2431/524288 * eps^11
        + 1547/524288 * eps^13
        + 441779/201326592 * eps^15
        + 940321/536870912 * eps^17
        + 6258091/4294967296 * eps^19
        + 32109515/25769803776 * eps^21
        + 4780137299/4398046511104 * eps^23
        + 135454151123/140737488355328 * eps^25
        + 8739550412095/10133099161583616 * eps^27
        + 439310252633/562949953421312 * eps^29;
C2[10] = + 46189/2621440 * eps^10
        + 4199/1048576 * eps^12
        + 172159/67108864 * eps^14
        + 257431/134217728 * eps^16
        + 6604381/4294967296 * eps^18
        + 55148051/42949672960 * eps^20
        + 4844658589/4398046511104 * eps^22
        + 8475408793/8796093022208 * eps^24
        + 963016659745/1125899906842624 * eps^26
        + 1729685026007/2251799813685248 * eps^28
        + 100354915132471/144115188075855872 * eps^30;
C2[11] = + 88179/5767168 * eps^11
        + 29393/8388608 * eps^13
        + 151487/67108864 * eps^15
        + 455107/268435456 * eps^17
        + 5860189/4294967296 * eps^19
        + 628398115/549755813888 * eps^21
        + 4324974541/4398046511104 * eps^23
        + 15169948479/17592186044416 * eps^25
        + 863724574545/1125899906842624 * eps^27
        + 12434905703529/18014398509481984 * eps^29;
C2[12] = + 676039/50331648 * eps^12
        + 52003/16777216 * eps^14
        + 1077205/536870912 * eps^16
        + 304589/201326592 * eps^18
        + 1343185487/1099511627776 * eps^20
        + 1128482143/1099511627776 * eps^22
        + 93435460751/105553116266496 * eps^24
        + 13685462553/17592186044416 * eps^26
        + 24983462965221/36028797018963968 * eps^28
        + 67559103579581/108086391056891904 * eps^30;
C2[13] = + 1300075/109051904 * eps^13
        + 185725/67108864 * eps^15
        + 482885/268435456 * eps^17
        + 46765555/34359738368 * eps^19
        + 605955125/549755813888 * eps^21
        + 4083133535/4398046511104 * eps^23
        + 14117902665/17592186044416 * eps^25
        + 776981055/1099511627776 * eps^27
        + 11367459987135/18014398509481984 * eps^29;
C2[14] = + 5014575/469762048 * eps^14
        + 334305/134217728 * eps^16
        + 55828935/34359738368 * eps^18
        + 84736485/68719476736 * eps^20
        + 4403236035/4398046511104 * eps^22
        + 7434490215/8796093022208 * eps^24
        + 12878639895/17592186044416 * eps^26
        + 79525490115/123145302310912 * eps^28
        + 83239672976625/144115188075855872 * eps^30;
C2[15] = + 646323/67108864 * eps^15
        + 9694845/4294967296 * eps^17
        + 50755365/34359738368 * eps^19
        + 77241935/68719476736 * eps^21
        + 4023100545/4398046511104 * eps^23
        + 13613065131/17592186044416 * eps^25
        + 738265615/1099511627776 * eps^27
        + 166992644595/281474976710656 * eps^29;
C2[16] = + 300540195/34359738368 * eps^16
        + 17678835/8589934592 * eps^18
        + 371255535/274877906944 * eps^20
        + 283171515/274877906944 * eps^22
        + 118236358635/140737488355328 * eps^24
        + 50102128545/70368744177664 * eps^26
        + 1393471517565/2251799813685248 * eps^28
        + 1233068062875/2251799813685248 * eps^30;
C2[17] = + 583401555/73014444032 * eps^17
        + 64822395/34359738368 * eps^19
        + 85292625/68719476736 * eps^21
        + 4172515215/4398046511104 * eps^23
        + 13636584885/17592186044416 * eps^25
        + 2894056305/4398046511104 * eps^27
        + 161224515885/281474976710656 * eps^29;
C2[18] = + 756261275/103079215104 * eps^18
        + 119409675/68719476736 * eps^20
        + 5039088285/4398046511104 * eps^22
        + 7718413945/8796093022208 * eps^24
        + 12634163925/17592186044416 * eps^26
        + 10741625085/17592186044416 * eps^28
        + 76701028811195/144115188075855872 * eps^30;
C2[19] = + 4418157975/652835028992 * eps^19
        + 883631595/549755813888 * eps^21
        + 4670624145/4398046511104 * eps^23
        + 14333193015/17592186044416 * eps^25
        + 2937289215/4398046511104 * eps^27
        + 10243215614805/18014398509481984 * eps^29;
C2[20] = + 6892326441/1099511627776 * eps^20
        + 1641030105/1099511627776 * eps^22
        + 34760001315/35184372088832 * eps^24
        + 13355260815/17592186044416 * eps^26
        + 22452476602335/36028797018963968 * eps^28
        + 95701981543233/180143985094819840 * eps^30;
C2[21] = + 22427411435/3848290697216 * eps^21
        + 6116566755/4398046511104 * eps^23
        + 16222198785/17592186044416 * eps^25
        + 798965451635/1125899906842624 * eps^27
        + 10507463872035/18014398509481984 * eps^29;
C2[22] = + 263012370465/48378511622144 * eps^22
        + 11435320455/8796093022208 * eps^24
        + 972002238675/1125899906842624 * eps^26
        + 1498026979605/2251799813685248 * eps^28
        + 78899312939325/144115188075855872 * eps^30;
C2[23] = + 514589420475/101155069755392 * eps^23
        + 171529806825/140737488355328 * eps^25
        + 912538572309/1125899906842624 * eps^27
        + 352031942007/562949953421312 * eps^29;
C2[24] = + 2687300306925/562949953421312 * eps^24
        + 322476036831/281474976710656 * eps^26
        + 6871220169399/9007199254740992 * eps^28
        + 15922598844211/27021597764222976 * eps^30;
C2[25] = + 15801325804719/3518437208883200 * eps^25
        + 1215486600363/1125899906842624 * eps^27
        + 405162200121/562949953421312 * eps^29;
C2[26] = + 61989816618513/14636698788954112 * eps^26
        + 2295919134019/2251799813685248 * eps^28
        + 98068545867383/144115188075855872 * eps^30;
C2[27] = + 121683714103007/30399297484750848 * eps^27
        + 17383387729001/18014398509481984 * eps^29;
C2[28] = + 136583760727865/36028797018963968 * eps^28
        + 32968493968795/36028797018963968 * eps^30;
C2[29] = + 1879204156221315/522417556774977536 * eps^29;
C2[30] = + 7391536347803839/2161727821137838080 * eps^30;

A3 = (2 - f) / (2 - del) * (1
        - 1/16 * nu^2 * del^3
        - 1/64 * nu^4 * del^4
        + 1/64 * nu^2 * del^5
        + (1/64 * nu^2 + 1/64 * nu^4 - 1/128 * nu^6) * del^6
        + (3/256 * nu^2 + 7/1024 * nu^4 + 15/2048 * nu^6) * del^7
        + (1/128 * nu^2 + 5/1024 * nu^6 - 59/16384 * nu^8) * del^8
        + (5/1024 * nu^2 - 5/2048 * nu^4 - 15/8192 * nu^6 + 21/4096 * nu^8) * del^9
        + (3/1024 * nu^2 - 5/2048 * nu^4 - 21/8192 * nu^6 + 1/8192 * nu^8 - 29/16384 * nu^10) * del^10
        + (7/4096 * nu^2 - 27/16384 * nu^4 - 19/16384 * nu^6 - 125/65536 * nu^8 + 765/262144 * nu^10) * del^11
        + (1/1024 * nu^2 - 7/8192 * nu^4 - 19/32768 * nu^8 - 55/65536 * nu^10 - 1005/1048576 * nu^12) * del^12
        + (9/16384 * nu^2 - 5/16384 * nu^4 + 15/32768 * nu^6 + 49/131072 * nu^8 - 805/1048576 * nu^10 + 429/262144 * nu^12) * del^13
        + (5/16384 * nu^2 + 15/32768 * nu^6 + 61/131072 * nu^8 + 231/1048576 * nu^10 - 757/1048576 * nu^12 - 1195/2097152 * nu^14) * del^14
        + (11/65536 * nu^2 + 35/262144 * nu^4 + 153/524288 * nu^6 + 911/4194304 * nu^8 + 2765/8388608 * nu^10 - 5535/33554432 * nu^12 + 64519/67108864 * nu^14) * del^15
        + (3/32768 * nu^2 + 11/65536 * nu^4 + 33/262144 * nu^6 + 335/4194304 * nu^10 + 1983/8388608 * nu^12 - 15869/33554432 * nu^14 - 392959/1073741824 * nu^16) * del^16
        + (13/262144 * nu^2 + 81/524288 * nu^4 + 35/2097152 * nu^6 - 381/4194304 * nu^8 - 2655/33554432 * nu^10 + 5145/67108864 * nu^12 + 6545/268435456 * nu^14 + 80835/134217728 * nu^16) * del^17
        + (7/262144 * nu^2 + 65/524288 * nu^4 - 75/2097152 * nu^6 - 381/4194304 * nu^8 - 3085/33554432 * nu^10 - 4335/67108864 * nu^12 + 30191/268435456 * nu^14 - 78575/268435456 * nu^16 - 133981/536870912 * nu^18) * del^18
        + (15/1048576 * nu^2 + 385/4194304 * nu^4 - 105/2097152 * nu^6 - 1867/33554432 * nu^8 - 5843/134217728 * nu^10 - 33651/536870912 * nu^12 - 12537/536870912 * nu^14 + 113425/2147483648 * nu^16 + 6894027/17179869184 * nu^18) * del^19
        + (1/131072 * nu^2 + 135/2097152 * nu^4 - 47/1048576 * nu^6 - 343/16777216 * nu^8 - 3449/268435456 * nu^12 - 393/8388608 * nu^14 + 36429/1073741824 * nu^16 - 395613/2147483648 * nu^18 - 12244329/68719476736 * nu^20) * del^20
        + (17/4194304 * nu^2 + 91/2097152 * nu^4 - 549/16777216 * nu^6 + 125/67108864 * nu^8 + 10115/536870912 * nu^10 + 9075/536870912 * nu^12 - 2037/268435456 * nu^14 - 134057/4294967296 * nu^16 + 2774565/68719476736 * nu^18 + 2418415/8589934592 * nu^20) * del^21
        + (9/4194304 * nu^2 + 119/4194304 * nu^4 - 345/16777216 * nu^6 + 757/67108864 * nu^8 + 10115/536870912 * nu^10 + 5097/268435456 * nu^12 + 2051/134217728 * nu^14 - 56365/4294967296 * nu^16 + 212301/68719476736 * nu^18 - 8332155/68719476736 * nu^20 - 18121445/137438953472 * nu^22) * del^22
        + (19/16777216 * nu^2 + 1215/67108864 * nu^4 - 1485/134217728 * nu^6 + 13237/1073741824 * nu^8 + 12045/1073741824 * nu^10 + 19499/2147483648 * nu^12 + 53669/4294967296 * nu^14 + 649215/68719476736 * nu^16 - 4805619/274877906944 * nu^18 + 27632905/1099511627776 * nu^20 + 452557413/2199023255552 * nu^22) * del^23
        + (5/8388608 * nu^2 + 95/8388608 * nu^4 - 315/67108864 * nu^6 + 2557/268435456 * nu^8 + 965/268435456 * nu^10 + 4795/2147483648 * nu^14 + 152425/17179869184 * nu^16 + 210087/137438953472 * nu^18 - 655225/137438953472 * nu^20 - 92262005/1099511627776 * nu^22 - 1766218619/17592186044416 * nu^24) * del^24
        + (21/67108864 * nu^2 + 935/134217728 * nu^4 - 507/536870912 * nu^6 + 3147/536870912 * nu^8 - 2365/2147483648 * nu^10 - 17277/4294967296 * nu^12 - 63245/17179869184 * nu^14 + 33187/68719476736 * nu^16 + 7658343/1099511627776 * nu^18 - 14867475/2199023255552 * nu^20 + 129271307/8796093022208 * nu^22 + 683371515/4398046511104 * nu^24) * del^25
        + (11/67108864 * nu^2 + 567/134217728 * nu^4 + 511/536870912 * nu^6 + 375/134217728 * nu^8 - 6165/2147483648 * nu^10 - 17277/4294967296 * nu^12 - 69503/17179869184 * nu^14 - 239799/68719476736 * nu^16 + 1216985/1099511627776 * nu^18 + 8569245/2199023255552 * nu^20 - 43106943/8796093022208 * nu^22 - 534376293/8796093022208 * nu^24 - 1376717967/17592186044416 * nu^26) * del^26
        + (23/268435456 * nu^2 + 2717/1073741824 * nu^4 + 1815/1073741824 * nu^6 + 1617/2147483648 * nu^8 - 23975/8589934592 * nu^10 - 80547/34359738368 * nu^12 - 33461/17179869184 * nu^14 - 1422395/549755813888 * nu^16 - 10911087/4398046511104 * nu^18 + 41529735/17592186044416 * nu^20 - 29783677/17592186044416 * nu^22 + 602785197/70368744177664 * nu^24 + 33887164025/281474976710656 * nu^26) * del^27
        + (3/67108864 * nu^2 + 805/536870912 * nu^4 + 15/8388608 * nu^6 - 379/1073741824 * nu^8 - 4165/2147483648 * nu^10 - 11439/17179869184 * nu^12 - 112985/274877906944 * nu^16 - 1881567/1099511627776 * nu^18 - 11423705/8796093022208 * nu^20 + 2840827/1099511627776 * nu^22 - 120604785/35184372088832 * nu^24 - 3211575705/70368744177664 * nu^26 - 70034981029/1125899906842624 * nu^28) * del^28
        + (25/1073741824 * nu^2 + 945/1073741824 * nu^4 + 425/268435456 * nu^6 - 3419/4294967296 * nu^8 - 34713/34359738368 * nu^10 + 5933/17179869184 * nu^12 + 120603/137438953472 * nu^14 + 894945/1099511627776 * nu^16 + 1094847/17592186044416 * nu^18 - 23698455/17592186044416 * nu^20 + 3370455/35184372088832 * nu^22 + 6840855/140737488355328 * nu^24 + 5772196495/1125899906842624 * nu^26 + 26818374051/281474976710656 * nu^28) * del^29);

C3[1] = + 1/4 * eps
        - 1/8 * eps*del
        - (1/16 + 1/64 * nu^2) * eps*del^2
        - (1/32 + 1/128 * nu^2) * eps*del^3
        - (1/64 - 1/128 * nu^2 + 1/128 * nu^4) * eps*del^4
        - (1/128 - 1/128 * nu^2 - 3/1024 * nu^4) * eps*del^5
        - (1/256 - 5/1024 * nu^2 - 5/1024 * nu^4 + 61/16384 * nu^6) * eps*del^6
        - (1/512 - 5/2048 * nu^2 - 7/4096 * nu^4 - 101/32768 * nu^6) * eps*del^7
        - (1/1024 - 1/1024 * nu^2 + 1/8192 * nu^4 - 7/4096 * nu^6 + 31/16384 * nu^8) * eps*del^8
        - (1/2048 - 1/4096 * nu^2 + 5/8192 * nu^4 + 15/65536 * nu^6 - 549/262144 * nu^8) * eps*del^9
        - (1/4096 + 1/16384 * nu^2 + 17/32768 * nu^4 + 73/131072 * nu^6 - 207/524288 * nu^8 + 1089/1048576 * nu^10) * eps*del^10
        - (1/8192 + 5/32768 * nu^2 + 5/16384 * nu^4 + 41/131072 * nu^6 + 433/1048576 * nu^8 - 2765/2097152 * nu^10) * eps*del^11
        - (1/16384 + 5/32768 * nu^2 + 9/65536 * nu^4 + 21/262144 * nu^6 + 513/2097152 * nu^8 + 101/4194304 * nu^10 + 1287/2097152 * nu^12) * eps*del^12
        - (1/32768 + 1/8192 * nu^2 + 11/262144 * nu^4 - 13/524288 * nu^6 + 107/4194304 * nu^8 + 4359/16777216 * nu^10 - 27879/33554432 * nu^12) * eps*del^13
        - (1/65536 + 23/262144 * nu^2 - 185/4194304 * nu^6 - 49/1048576 * nu^8 + 905/16777216 * nu^10 + 1983/16777216 * nu^12 + 415621/1073741824 * nu^14) * eps*del^14
        - (1/131072 + 31/524288 * nu^2 - 13/1048576 * nu^4 - 259/8388608 * nu^6 - 629/16777216 * nu^8 - 2435/67108864 * nu^10 + 17161/134217728 * nu^12 - 1155593/2147483648 * nu^14) * eps*del^15
        - (1/262144 + 5/131072 * nu^2 - 25/2097152 * nu^4 - 59/4194304 * nu^6 - 451/33554432 * nu^8 - 1907/67108864 * nu^10 - 2073/268435456 * nu^12 + 15379/134217728 * nu^14 + 138523/536870912 * nu^16) * eps*del^16
        - (1/524288 + 25/1048576 * nu^2 - 1/131072 * nu^4 - 53/16777216 * nu^6 + 33/33554432 * nu^8 - 349/67108864 * nu^10 - 6791/268435456 * nu^12 + 59801/1073741824 * nu^14 - 6206887/17179869184 * nu^16) * eps*del^17
        - (1/1048576 + 61/4194304 * nu^2 - 29/8388608 * nu^4 + 27/16777216 * nu^6 + 339/67108864 * nu^8 + 2751/536870912 * nu^10 - 5609/1073741824 * nu^12 - 70801/4294967296 * nu^14 + 3092011/34359738368 * nu^16 + 12373493/68719476736 * nu^18) * eps*del^18
        - (1/2097152 + 73/8388608 * nu^2 - 5/8388608 * nu^4 + 175/67108864 * nu^6 + 135/33554432 * nu^8 + 5585/1073741824 * nu^10 + 5197/1073741824 * nu^12 - 10269/1073741824 * nu^14 + 1533303/68719476736 * nu^16 - 34586945/137438953472 * nu^18) * eps*del^19
        - (1/4194304 + 43/8388608 * nu^2 + 1/1048576 * nu^4 + 67/33554432 * nu^6 + 1/524288 * nu^8 + 157/67108864 * nu^10 + 4545/1073741824 * nu^12 + 47127/17179869184 * nu^14 - 1608521/137438953472 * nu^16 + 18276901/274877906944 * nu^18 + 17933761/137438953472 * nu^20) * eps*del^20
        - (1/8388608 + 25/8388608 * nu^2 + 105/67108864 * nu^4 + 141/134217728 * nu^6 + 105/268435456 * nu^8 + 1033/4294967296 * nu^10 + 5383/4294967296 * nu^12 + 256441/68719476736 * nu^14 - 416747/274877906944 * nu^16 + 9109221/1099511627776 * nu^18 - 398820585/2199023255552 * nu^20) * eps*del^21
        - (1/16777216 + 115/67108864 * nu^2 + 109/67108864 * nu^4 + 329/1073741824 * nu^6 - 601/2147483648 * nu^8 - 4353/8589934592 * nu^10 - 3069/8589934592 * nu^12 + 146313/137438953472 * nu^14 + 1742873/549755813888 * nu^16 - 13845775/2199023255552 * nu^18 + 213474905/4398046511104 * nu^20 + 1716146675/17592186044416 * nu^22) * eps*del^22
        - (1/33554432 + 131/134217728 * nu^2 + 381/268435456 * nu^4 - 257/2147483648 * nu^6 - 419/1073741824 * nu^8 - 1979/4294967296 * nu^10 - 9723/17179869184 * nu^12 - 13321/34359738368 * nu^14 + 1567497/1099511627776 * nu^16 + 2496121/2199023255552 * nu^18 + 24797103/8796093022208 * nu^20 - 4739464879/35184372088832 * nu^22) * eps*del^23
        - (1/67108864 + 37/67108864 * nu^2 + 605/536870912 * nu^4 - 155/536870912 * nu^6 - 1129/4294967296 * nu^8 - 3337/17179869184 * nu^10 - 4415/17179869184 * nu^12 - 30881/68719476736 * nu^14 - 381667/2199023255552 * nu^16 + 2096241/1099511627776 * nu^18 - 49640079/17592186044416 * nu^20 + 157094259/4398046511104 * nu^22 + 1316663167/17592186044416 * nu^24) * eps*del^24
        - (1/134217728 + 83/268435456 * nu^2 + 451/536870912 * nu^4 - 1297/4294967296 * nu^6 - 1723/17179869184 * nu^8 + 161/17179869184 * nu^10 + 831/68719476736 * nu^12 - 62647/549755813888 * nu^14 - 1579087/4398046511104 * nu^16 + 4578767/17592186044416 * nu^18 + 13107299/8796093022208 * nu^20 + 60678795/70368744177664 * nu^22 - 28905165367/281474976710656 * nu^24) * eps*del^25
        - (1/268435456 + 185/1073741824 * nu^2 + 1285/2147483648 * nu^4 - 2093/8589934592 * nu^6 + 471/34359738368 * nu^8 + 1567/17179869184 * nu^10 + 1835/17179869184 * nu^12 + 94339/1099511627776 * nu^14 - 604839/8796093022208 * nu^16 - 9529529/35184372088832 * nu^18 + 31419247/35184372088832 * nu^20 - 139547307/140737488355328 * nu^22 + 15041150619/562949953421312 * nu^24 + 66073286211/1125899906842624 * nu^26) * eps*del^26
        - (1/536870912 + 205/2147483648 * nu^2 + 221/536870912 * nu^4 - 717/4294967296 * nu^6 + 4587/68719476736 * nu^8 + 3057/34359738368 * nu^10 + 12019/137438953472 * nu^12 + 113887/1099511627776 * nu^14 + 1642257/17592186044416 * nu^16 - 90679/1099511627776 * nu^18 - 4969389/70368744177664 * nu^20 + 331421441/281474976710656 * nu^22 + 283486657/1125899906842624 * nu^24 - 180278849791/2251799813685248 * nu^26) * eps*del^27
        - (1/1073741824 + 113/2147483648 * nu^2 + 1183/4294967296 * nu^4 - 1693/17179869184 * nu^6 + 10395/137438953472 * nu^8 + 14779/274877906944 * nu^10 + 10085/274877906944 * nu^12 + 26943/549755813888 * nu^14 + 2975781/35184372088832 * nu^16 + 5396081/70368744177664 * nu^18 - 3961365/35184372088832 * nu^20 + 407633623/1125899906842624 * nu^22 - 317782905/2251799813685248 * nu^24 + 22935433559/1125899906842624 * nu^26 + 105549734649/2251799813685248 * nu^28) * eps*del^28;
C3[2] = + 1/16 * eps^2
        - 3/64 * eps^2*del
        - (1/64 + 1/128 * nu^2) * eps^2*del^2
        - 1/256 * eps^2*del^3
        + (5/1024 * nu^2 - 7/2048 * nu^4) * eps^2*del^4
        + (1/1024 + 3/1024 * nu^2 + 37/16384 * nu^4) * eps^2*del^5
        + (1/1024 + 1/1024 * nu^2 + 31/16384 * nu^4 - 53/32768 * nu^6) * eps^2*del^6
        + (3/4096 + 9/65536 * nu^4 + 109/65536 * nu^6) * eps^2*del^7
        + (1/2048 - 5/16384 * nu^2 - 27/65536 * nu^4 + 131/262144 * nu^6 - 55/65536 * nu^8) * eps^2*del^8
        + (5/16384 - 5/16384 * nu^2 - 11/32768 * nu^4 - 77/262144 * nu^6 + 1099/1048576 * nu^8) * eps^2*del^9
        + (3/16384 - 7/32768 * nu^2 - 39/262144 * nu^4 - 1/4096 * nu^6 + 11/262144 * nu^8 - 993/2097152 * nu^10) * eps^2*del^10
        + (7/65536 - 1/8192 * nu^2 - 7/262144 * nu^4 - 17/262144 * nu^6 - 461/2097152 * nu^8 + 1363/2097152 * nu^10) * eps^2*del^11
        + (1/16384 - 15/262144 * nu^2 + 11/524288 * nu^4 + 21/1048576 * nu^6 - 1203/16777216 * nu^8 - 2515/33554432 * nu^10 - 19291/67108864 * nu^12) * eps^2*del^12
        + (9/262144 - 5/262144 * nu^2 + 111/4194304 * nu^4 + 31/1048576 * nu^6 + 573/33554432 * nu^8 - 3889/33554432 * nu^10 + 442517/1073741824 * nu^12) * eps^2*del^13
        + (5/262144 + 71/4194304 * nu^4 + 123/8388608 * nu^6 + 1569/67108864 * nu^8 - 371/67108864 * nu^10 - 91961/1073741824 * nu^12 - 398805/2147483648 * nu^14) * eps^2*del^14
        + (11/1048576 + 1/131072 * nu^2 + 107/16777216 * nu^4 + 27/16777216 * nu^6 + 1009/134217728 * nu^8 + 2587/134217728 * nu^10 - 228115/4294967296 * nu^12 + 1162713/4294967296 * nu^14) * eps^2*del^15
        + (3/524288 + 39/4194304 * nu^2 - 9/16777216 * nu^4 - 259/67108864 * nu^6 - 301/134217728 * nu^8 + 3635/536870912 * nu^10 + 20237/2147483648 * nu^12 - 1204311/17179869184 * nu^14 - 271297/2147483648 * nu^16) * eps^2*del^16
        + (13/4194304 + 35/4194304 * nu^2 - 123/33554432 * nu^4 - 275/67108864 * nu^6 - 2043/536870912 * nu^8 - 1221/536870912 * nu^10 + 4797/536870912 * nu^12 - 385269/17179869184 * nu^14 + 12694467/68719476736 * nu^16) * eps^2*del^17
        + (7/4194304 + 55/8388608 * nu^2 - 287/67108864 * nu^4 - 5/2097152 * nu^6 - 269/134217728 * nu^8 - 3339/1073741824 * nu^10 - 6715/8589934592 * nu^12 + 73323/8589934592 * nu^14 - 225067/4294967296 * nu^16 - 12323957/137438953472 * nu^18) * eps^2*del^18
        + (15/16777216 + 5/1048576 * nu^2 - 489/134217728 * nu^4 - 91/134217728 * nu^6 - 475/2147483648 * nu^8 - 637/536870912 * nu^10 - 46661/17179869184 * nu^12 + 19531/8589934592 * nu^14 - 613679/68719476736 * nu^16 + 35929263/274877906944 * nu^18) * eps^2*del^19
        + (1/2097152 + 221/67108864 * nu^2 - 11/4194304 * nu^4 + 187/536870912 * nu^6 + 2407/4294967296 * nu^8 + 619/4294967296 * nu^10 - 74565/68719476736 * nu^12 - 289965/137438953472 * nu^14 + 5558975/1099511627776 * nu^16 - 84141989/2199023255552 * nu^18 - 36231547/549755813888 * nu^20) * eps^2*del^20
        + (17/67108864 + 147/67108864 * nu^2 - 1783/1073741824 * nu^4 + 387/536870912 * nu^6 + 2475/4294967296 * nu^8 + 1793/4294967296 * nu^10 + 3705/34359738368 * nu^12 - 89373/68719476736 * nu^14 - 202863/549755813888 * nu^16 - 3743229/1099511627776 * nu^18 + 1680883799/17592186044416 * nu^20) * eps^2*del^21
        + (9/67108864 + 95/67108864 * nu^2 - 993/1073741824 * nu^4 + 1483/2147483648 * nu^6 + 5097/17179869184 * nu^8 + 3395/17179869184 * nu^10 + 78571/274877906944 * nu^12 - 15701/274877906944 * nu^14 - 6648447/4398046511104 * nu^16 + 2658155/1099511627776 * nu^18 - 493037941/17592186044416 * nu^20 - 1754145683/35184372088832 * nu^22) * eps^2*del^22
        + (19/268435456 + 15/16777216 * nu^2 - 1859/4294967296 * nu^4 + 2121/4294967296 * nu^6 + 63/2147483648 * nu^8 - 1373/34359738368 * nu^10 + 10711/137438953472 * nu^12 + 122421/549755813888 * nu^14 - 1632261/4398046511104 * nu^16 - 8656641/8796093022208 * nu^18 - 90195489/70368744177664 * nu^20 + 5056163067/70368744177664 * nu^22) * eps^2*del^23
        + (5/134217728 + 595/1073741824 * nu^2 - 599/4294967296 * nu^4 + 4791/17179869184 * nu^6 - 2021/17179869184 * nu^8 - 4645/34359738368 * nu^10 - 40189/549755813888 * nu^12 + 70413/1099511627776 * nu^14 + 2606007/17592186044416 * nu^16 - 27945285/35184372088832 * nu^18 + 64540051/70368744177664 * nu^20 - 5861742383/281474976710656 * nu^22 - 1359291125/35184372088832 * nu^24) * eps^2*del^24
        + (21/1073741824 + 363/1073741824 * nu^2 + 63/4294967296 * nu^4 + 1927/17179869184 * nu^6 - 2635/17179869184 * nu^8 - 3995/34359738368 * nu^10 - 48227/549755813888 * nu^12 - 30329/549755813888 * nu^14 + 344317/4398046511104 * nu^16 - 104637/4398046511104 * nu^18 - 7778471/8796093022208 * nu^20 - 148001723/281474976710656 * nu^22 + 62338112433/1125899906842624 * nu^24) * eps^2*del^25
        + (11/1073741824 + 437/2147483648 * nu^2 + 1401/17179869184 * nu^4 + 35/4294967296 * nu^6 - 4311/34359738368 * nu^8 - 3855/68719476736 * nu^10 - 84933/2199023255552 * nu^12 - 122765/2199023255552 * nu^14 - 2547799/70368744177664 * nu^16 + 6260935/70368744177664 * nu^18 - 12511109/35184372088832 * nu^20 + 103499147/562949953421312 * nu^22 - 8874967985/562949953421312 * nu^24 - 68794451139/2251799813685248 * nu^26) * eps^2*del^26
        + (23/4294967296 + 65/536870912 * nu^2 + 853/8589934592 * nu^4 - 373/8589934592 * nu^6 - 21179/274877906944 * nu^8 - 603/137438953472 * nu^10 + 6635/1099511627776 * nu^12 - 8119/549755813888 * nu^14 - 3236183/70368744177664 * nu^16 - 1777517/140737488355328 * nu^18 + 47181185/1125899906842624 * nu^20 - 718955529/1125899906842624 * nu^22 - 1289160969/4503599627370496 * nu^24 + 49050664089/1125899906842624 * nu^26) * eps^2*del^27;
C3[3] = + 5/192 * eps^3
        - 3/128 * eps^3*del
        - (1/192 + 7/1536 * nu^2) * eps^3*del^2
        + 1/768 * nu^2 * eps^3*del^3
        + (1/1024 + 35/12288 * nu^2 - 91/49152 * nu^4) * eps^3*del^4
        + (5/6144 + 9/8192 * nu^2 + 155/98304 * nu^4) * eps^3*del^5
        + (1/2048 + 1/49152 * nu^2 + 5/6144 * nu^4 - 43/49152 * nu^6) * eps^3*del^6
        + (1/4096 - 29/98304 * nu^2 - 1/6144 * nu^4 + 265/262144 * nu^6) * eps^3*del^7
        + (5/49152 - 13/49152 * nu^2 - 55/196608 * nu^4 + 227/1572864 * nu^6 - 485/1048576 * nu^8) * eps^3*del^8
        + (1/32768 - 5/32768 * nu^2 - 17/131072 * nu^4 - 217/1048576 * nu^6 + 1291/2097152 * nu^8) * eps^3*del^9
        - (1/16384 * nu^2 + 5/393216 * nu^4 + 625/6291456 * nu^6 + 147/4194304 * nu^8 + 13447/50331648 * nu^10) * eps^3*del^10
        - (1/98304 + 7/786432 * nu^2 - 11/393216 * nu^4 - 7/6291456 * nu^6 + 5999/50331648 * nu^8 - 4795/12582912 * nu^10) * eps^3*del^11
        - (3/262144 - 41/3145728 * nu^2 - 323/12582912 * nu^4 - 95/4194304 * nu^6 + 115/6291456 * nu^8 + 18087/268435456 * nu^10 + 534443/3221225472 * nu^12) * eps^3*del^12
        - (5/524288 - 113/6291456 * nu^2 - 293/25165824 * nu^4 - 137/12582912 * nu^6 - 3163/201326592 * nu^8 + 92501/1610612736 * nu^10 - 524357/2147483648 * nu^12) * eps^3*del^13
        - (11/1572864 - 65/4194304 * nu^2 - 5/12582912 * nu^4 + 9/8388608 * nu^6 - 101/12582912 * nu^8 - 13105/3221225472 * nu^10 + 48629/805306368 * nu^12 + 352237/3221225472 * nu^14) * eps^3*del^14
        - (5/1048576 - 277/25165824 * nu^2 + 125/25165824 * nu^4 + 1033/201326592 * nu^6 + 253/201326592 * nu^8 - 19139/2147483648 * nu^10 + 326665/12884901888 * nu^12 - 8386673/51539607552 * nu^14) * eps^3*del^15
        - (13/4194304 - 173/25165824 * nu^2 + 599/100663296 * nu^4 + 539/134217728 * nu^6 + 4997/1610612736 * nu^8 - 407/805306368 * nu^10 - 57519/8589934592 * nu^12 + 4786447/103079215104 * nu^14 + 15598379/206158430208 * nu^16) * eps^3*del^16
        - (49/25165824 - 193/50331648 * nu^2 + 965/201326592 * nu^4 + 1255/805306368 * nu^6 + 1439/1073741824 * nu^8 + 6725/3221225472 * nu^10 - 26777/8589934592 * nu^12 + 2172739/206158430208 * nu^14 - 46468567/412316860416 * nu^16) * eps^3*del^17
        - (5/4194304 - 63/33554432 * nu^2 + 207/67108864 * nu^4 - 133/536870912 * nu^6 - 351/1073741824 * nu^8 + 1951/2147483648 * nu^10 + 66251/51539607552 * nu^12 - 1928567/412316860416 * nu^14 + 28150963/824633720832 * nu^16 + 11230679/206158430208 * nu^18) * eps^3*del^18
        - (3/4194304 - 25/33554432 * nu^2 + 649/402653184 * nu^4 - 1615/1610612736 * nu^6 - 3661/4294967296 * nu^8 - 11863/51539607552 * nu^10 + 73863/68719476736 * nu^12 - 155791/412316860416 * nu^14 + 4594627/1099511627776 * nu^16 - 177798693/2199023255552 * nu^18) * eps^3*del^19
        - (85/201326592 - 127/805306368 * nu^2 + 1975/3221225472 * nu^4 - 3277/3221225472 * nu^6 - 15853/25769803776 * nu^8 - 41995/103079215104 * nu^10 + 26333/412316860416 * nu^12 + 238405/206158430208 * nu^14 - 5553601/2199023255552 * nu^16 + 54838395/2199023255552 * nu^18 + 2138626093/52776558133248 * nu^20) * eps^3*del^20
        - (33/134217728 + 169/1610612736 * nu^2 + 337/6442450944 * nu^4 - 761/1073741824 * nu^6 - 155/805306368 * nu^8 - 8611/68719476736 * nu^10 - 40111/206158430208 * nu^12 + 103777/274877906944 * nu^14 + 3432107/6597069766656 * nu^16 + 3533439/2199023255552 * nu^18 - 6315388057/105553116266496 * nu^20) * eps^3*del^21
        - (19/134217728 + 619/3221225472 * nu^2 - 319/1610612736 * nu^4 - 1165/3221225472 * nu^6 + 5227/51539607552 * nu^8 + 48361/412316860416 * nu^10 - 4629/137438953472 * nu^12 - 23977/274877906944 * nu^14 + 2281201/3298534883328 * nu^16 - 1858135/1649267441664 * nu^18 + 60699641/3298534883328 * nu^20 + 102146233/3298534883328 * nu^22) * eps^3*del^22
        - (65/805306368 + 419/2147483648 * nu^2 - 853/3221225472 * nu^4 - 1785/17179869184 * nu^6 + 10679/51539607552 * nu^8 + 72803/412316860416 * nu^10 + 153287/1649267441664 * nu^12 - 42865/824633720832 * nu^14 + 3814067/52776558133248 * nu^16 + 22276537/35184372088832 * nu^18 + 66554461/105553116266496 * nu^20 - 38401077793/844424930131968 * nu^22) * eps^3*del^23
        - (49/1073741824 + 265/1610612736 * nu^2 - 389/1610612736 * nu^4 + 4237/103079215104 * nu^6 + 2393/12884901888 * nu^8 + 32111/274877906944 * nu^10 + 282223/3298534883328 * nu^12 + 133607/3298534883328 * nu^14 - 6971377/105553116266496 * nu^16 + 17929211/52776558133248 * nu^18 - 13199779/35184372088832 * nu^20 + 23326056827/1688849860263936 * nu^22 + 81758263741/3377699720527872 * nu^24) * eps^3*del^24
        - (55/2147483648 + 203/1610612736 * nu^2 - 2395/12884901888 * nu^4 + 6713/68719476736 * nu^6 + 11839/103079215104 * nu^8 + 27659/824633720832 * nu^10 + 4661/206158430208 * nu^12 + 178511/4398046511104 * nu^14 + 47787/17592186044416 * nu^16 - 503437/26388279066624 * nu^18 + 142286803/281474976710656 * nu^20 + 978921779/3377699720527872 * nu^22 - 79639659733/2251799813685248 * nu^24) * eps^3*del^25
        - (23/1610612736 + 1171/12884901888 * nu^2 - 1649/12884901888 * nu^4 + 41689/412316860416 * nu^6 + 12683/274877906944 * nu^8 - 34849/1649267441664 * nu^10 - 151883/6597069766656 * nu^12 + 13471/6597069766656 * nu^14 + 1821663/70368744177664 * nu^16 - 21627833/844424930131968 * nu^18 + 165155711/1125899906842624 * nu^20 - 140264611/6755399441055744 * nu^22 + 23794600695/2251799813685248 * nu^24 + 2084417844071/108086391056891904 * nu^26) * eps^3*del^26;
C3[4] = + 7/512 * eps^4
        - 7/512 * eps^4*del
        - (1/512 + 3/1024 * nu^2) * eps^4*del^2
        + (5/8192 + 23/16384 * nu^2) * eps^4*del^3
        + (3/4096 + 7/4096 * nu^2 - 37/32768 * nu^4) * eps^4*del^4
        + (7/16384 + 25/65536 * nu^2 + 73/65536 * nu^4) * eps^4*del^5
        + (3/16384 - 25/131072 * nu^2 + 95/262144 * nu^4 - 35/65536 * nu^6) * eps^4*del^6
        + (7/131072 - 1/4096 * nu^2 - 25/131072 * nu^4 + 347/524288 * nu^6) * eps^4*del^7
        - (75/524288 * nu^2 + 21/131072 * nu^4 - 3/131072 * nu^6 + 4817/16777216 * nu^8) * eps^4*del^8
        - (1/65536 + 13/262144 * nu^2 + 75/2097152 * nu^4 + 559/4194304 * nu^6 - 6647/16777216 * nu^8) * eps^4*del^9
        - (1/65536 - 1/1048576 * nu^2 - 185/8388608 * nu^4 + 305/8388608 * nu^6 + 1629/33554432 * nu^8 + 5677/33554432 * nu^10) * eps^4*del^10
        - (23/2097152 - 77/4194304 * nu^2 - 213/8388608 * nu^4 - 119/8388608 * nu^6 + 35675/536870912 * nu^8 - 264355/1073741824 * nu^10) * eps^4*del^11
        - (7/1048576 - 79/4194304 * nu^2 - 47/4194304 * nu^4 - 207/16777216 * nu^6 + 413/268435456 * nu^8 + 28581/536870912 * nu^10 + 229943/2147483648 * nu^12) * eps^4*del^12
        - (15/4194304 - 227/16777216 * nu^2 + 3/4194304 * nu^4 - 13/67108864 * nu^6 - 9911/1073741824 * nu^8 + 130627/4294967296 * nu^10 - 685349/4294967296 * nu^12) * eps^4*del^13
        - (7/4194304 - 265/33554432 * nu^2 + 197/33554432 * nu^4 + 687/134217728 * nu^6 - 1085/1073741824 * nu^8 - 40651/8589934592 * nu^10 + 743045/17179869184 * nu^12 + 308185/4294967296 * nu^14) * eps^4*del^14
        - (21/33554432 - 127/33554432 * nu^2 + 413/67108864 * nu^4 + 1137/268435456 * nu^6 + 23419/8589934592 * nu^8 - 30517/8589934592 * nu^10 + 454279/34359738368 * nu^12 - 7407017/68719476736 * nu^14) * eps^4*del^15
        - (1/8388608 - 179/134217728 * nu^2 + 587/134217728 * nu^4 + 821/536870912 * nu^6 + 1669/1073741824 * nu^8 + 34199/34359738368 * nu^10 - 144039/34359738368 * nu^12 + 2224345/68719476736 * nu^14 + 3460727/68719476736 * nu^16) * eps^4*del^16
        + (3/33554432 + 15/134217728 * nu^2 - 1269/536870912 * nu^4 + 237/536870912 * nu^6 + 2321/8589934592 * nu^8 - 35043/34359738368 * nu^10 + 123335/137438953472 * nu^12 - 753913/137438953472 * nu^14 + 20792681/274877906944 * nu^16) * eps^4*del^17
        + (5/33554432 - 49/134217728 * nu^2 - 1905/2147483648 * nu^4 + 1249/1073741824 * nu^6 + 32309/34359738368 * nu^8 + 509/4294967296 * nu^10 - 482005/549755813888 * nu^12 + 357909/137438953472 * nu^14 - 52119763/2199023255552 * nu^16 - 10087461/274877906944 * nu^18) * eps^4*del^18
        + (77/536870912 - 493/1073741824 * nu^2 - 113/2147483648 * nu^4 + 4525/4294967296 * nu^6 + 11823/17179869184 * nu^8 + 31017/68719476736 * nu^10 - 149589/549755813888 * nu^12 - 136399/1099511627776 * nu^14 - 19169113/8796093022208 * nu^16 + 966204697/17592186044416 * nu^18) * eps^4*del^19
        + (31/268435456 - 211/536870912 * nu^2 + 639/2147483648 * nu^4 + 5491/8589934592 * nu^6 + 13591/68719476736 * nu^8 + 24355/137438953472 * nu^10 + 10275/68719476736 * nu^12 - 1237605/2199023255552 * nu^14 + 1476425/1099511627776 * nu^16 - 38265617/2199023255552 * nu^18 - 970329125/35184372088832 * nu^20) * eps^4*del^20
        + (91/1073741824 - 1219/4294967296 * nu^2 + 1567/4294967296 * nu^4 + 1065/4294967296 * nu^6 - 18317/137438953472 * nu^8 - 31659/274877906944 * nu^10 + 14971/274877906944 * nu^12 - 19691/274877906944 * nu^14 - 7129733/17592186044416 * nu^16 - 59293753/70368744177664 * nu^18 + 2890342367/70368744177664 * nu^20) * eps^4*del^21
        + (63/1073741824 - 1573/8589934592 * nu^2 + 5229/17179869184 * nu^4 - 13/17179869184 * nu^6 - 129295/549755813888 * nu^8 - 109309/549755813888 * nu^10 - 210751/2199023255552 * nu^12 + 174863/4398046511104 * nu^14 - 5554613/17592186044416 * nu^16 + 80700493/140737488355328 * nu^18 - 3645161197/281474976710656 * nu^20 - 1496064069/70368744177664 * nu^22) * eps^4*del^22
        + (335/8589934592 - 461/4294967296 * nu^2 + 449/2147483648 * nu^4 - 1893/17179869184 * nu^6 - 105529/549755813888 * nu^8 - 72959/549755813888 * nu^10 - 460631/4398046511104 * nu^12 - 155859/4398046511104 * nu^14 - 1431719/140737488355328 * nu^16 - 13860657/35184372088832 * nu^18 - 95197723/281474976710656 * nu^20 + 4434341147/140737488355328 * nu^22) * eps^4*del^23
        + (27/1073741824 - 1951/34359738368 * nu^2 + 2117/17179869184 * nu^4 - 8799/68719476736 * nu^6 - 28237/274877906944 * nu^8 - 38701/1099511627776 * nu^10 - 18963/549755813888 * nu^12 - 855563/17592186044416 * nu^14 + 918491/140737488355328 * nu^16 - 88072145/562949953421312 * nu^18 + 94506611/562949953421312 * nu^20 - 5523870635/562949953421312 * nu^22 - 603253817537/36028797018963968 * nu^24) * eps^4*del^24
        + (17/1073741824 - 7/268435456 * nu^2 + 8417/137438953472 * nu^4 - 28121/274877906944 * nu^6 - 29801/1099511627776 * nu^8 + 118345/4398046511104 * nu^10 + 401717/17592186044416 * nu^12 - 274213/35184372088832 * nu^14 - 11806207/562949953421312 * nu^16 + 10342025/1125899906842624 * nu^18 - 337952489/1125899906842624 * nu^20 - 187195949/1125899906842624 * nu^22 + 889935277531/36028797018963968 * nu^24) * eps^4*del^25;
C3[5] = + 21/2560 * eps^5
        - 9/1024 * eps^5*del
        - (3/4096 + 33/16384 * nu^2) * eps^5*del^2
        + (5/8192 + 41/32768 * nu^2) * eps^5*del^3
        + (39/81920 + 87/81920 * nu^2 - 61/81920 * nu^4) * eps^5*del^4
        + (7/32768 + 29/327680 * nu^2 + 1059/1310720 * nu^4) * eps^5*del^5
        + (1/16384 - 27/131072 * nu^2 + 411/2621440 * nu^4 - 3701/10485760 * nu^6) * eps^5*del^6
        - (107/655360 * nu^2 + 839/5242880 * nu^4 - 9589/20971520 * nu^6) * eps^5*del^7
        - (1/65536 + 87/1310720 * nu^2 + 897/10485760 * nu^4 + 413/20971520 * nu^6 + 3231/16777216 * nu^8) * eps^5*del^8
        - (9/655360 + 3/524288 * nu^2 - 17/10485760 * nu^4 + 7061/83886080 * nu^6 - 9107/33554432 * nu^8) * eps^5*del^9
        - (9/1048576 - 69/4194304 * nu^2 - 103/4194304 * nu^4 + 3261/335544320 * nu^6 + 61037/1342177280 * nu^8 + 619701/5368709120 * nu^10) * eps^5*del^10
        - (9/2097152 - 747/41943040 * nu^2 - 77/5242880 * nu^4 - 1739/134217728 * nu^6 + 20441/536870912 * nu^8 - 1822513/10737418240 * nu^10) * eps^5*del^11
        - (7/4194304 - 1/81920 * nu^2 - 31/20971520 * nu^4 - 581/134217728 * nu^6 - 15969/5368709120 * nu^8 + 110013/2684354560 * nu^10 + 79697/1073741824 * nu^12) * eps^5*del^12
        - (3/8388608 - 537/83886080 * nu^2 + 1733/335544320 * nu^4 + 2557/671088640 * nu^6 - 9183/2147483648 * nu^8 + 364933/21474836480 * nu^10 - 9557063/85899345920 * nu^12) * eps^5*del^13
        + (7/41943040 + 13/5242880 * nu^2 - 4029/671088640 * nu^4 - 25261/5368709120 * nu^6 - 16607/10737418240 * nu^8 + 151151/42949672960 * nu^10 - 1089825/34359738368 * nu^12 - 17330617/343597383680 * nu^14) * eps^5*del^14
        + (5/16777216 + 141/335544320 * nu^2 - 5679/1342177280 * nu^4 - 23521/10737418240 * nu^6 - 45661/21474836480 * nu^8 + 10851/10737418240 * nu^10 - 2548921/343597383680 * nu^12 + 52278893/687194767360 * nu^14) * eps^5*del^15
        + (9/33554432 - 67/167772160 * nu^2 - 5717/2684354560 * nu^4 + 319/2684354560 * nu^6 - 12097/42949672960 * nu^8 - 43983/42949672960 * nu^10 + 1698521/687194767360 * nu^12 - 6450553/274877906944 * nu^14 - 6154899/171798691840 * nu^16) * eps^5*del^16
        + (13/67108864 - 381/671088640 * nu^2 - 345/536870912 * nu^4 + 11773/10737418240 * nu^6 + 72679/85899345920 * nu^8 - 5199/21474836480 * nu^10 + 60853/687194767360 * nu^12 - 3425503/1099511627776 * nu^14 + 593848761/10995116277760 * nu^16) * eps^5*del^17
        + (33/268435456 - 2529/5368709120 * nu^2 + 653/5368709120 * nu^4 + 22829/21474836480 * nu^6 + 27977/34359738368 * nu^8 + 29957/68719476736 * nu^10 - 154279/343597383680 * nu^12 + 16043139/10995116277760 * nu^14 - 23657743/1374389534720 * nu^16 - 2320001363/87960930222080 * nu^18) * eps^5*del^18
        + (189/2684354560 - 3351/10737418240 * nu^2 + 2017/5368709120 * nu^4 + 5457/8589934592 * nu^6 + 108971/343597383680 * nu^8 + 217813/687194767360 * nu^10 + 70031/1374389534720 * nu^12 - 1129013/5497558138880 * nu^14 - 27541303/21990232555520 * nu^16 + 1394185099/35184372088832 * nu^18) * eps^5*del^19
        + (39/1073741824 - 939/5368709120 * nu^2 + 977/2684354560 * nu^4 + 4759/21474836480 * nu^6 - 57331/687194767360 * nu^8 - 10257/343597383680 * nu^10 + 329709/2748779069440 * nu^12 - 1330653/5497558138880 * nu^14 + 6517533/8796093022208 * nu^16 - 559593727/43980465111040 * nu^18 - 879414161/43980465111040 * nu^20) * eps^5*del^20
        + (35/2147483648 - 1747/21474836480 * nu^2 + 22139/85899345920 * nu^4 - 5119/171798691840 * nu^6 - 19769/85899345920 * nu^8 - 33477/171798691840 * nu^10 - 297477/5497558138880 * nu^12 + 125505/17592186044416 * nu^14 - 48409383/175921860444160 * nu^16 - 172376359/351843720888320 * nu^18 + 42089497669/1407374883553280 * nu^20) * eps^5*del^21
        + (3/536870912 - 1161/42949672960 * nu^2 + 25267/171798691840 * nu^4 - 43369/343597383680 * nu^6 - 136021/687194767360 * nu^8 - 441441/2748779069440 * nu^10 - 1346163/10995116277760 * nu^12 - 2943017/175921860444160 * nu^14 - 3208107/21990232555520 * nu^16 + 216091227/703687441776640 * nu^18 - 26879754031/2814749767106560 * nu^20 - 69948906907/4503599627370496 * nu^22) * eps^5*del^22
        + (1/2147483648 - 1/5368709120 * nu^2 + 4509/68719476736 * nu^4 - 8773/68719476736 * nu^6 - 57347/549755813888 * nu^8 - 317209/5497558138880 * nu^10 - 726703/10995116277760 * nu^12 - 2117261/35184372088832 * nu^14 - 1826897/175921860444160 * nu^16 - 69331283/281474976710656 * nu^18 - 1132349107/5629499534213120 * nu^20 + 208292655455/9007199254740992 * nu^22) * eps^5*del^23
        - (17/10737418240 - 879/85899345920 * nu^2 - 2355/137438953472 * nu^4 + 124261/1374389534720 * nu^6 + 130523/5497558138880 * nu^8 - 201507/10995116277760 * nu^10 - 304749/43980465111040 * nu^12 + 5087681/175921860444160 * nu^14 + 29447667/1407374883553280 * nu^16 + 455849151/5629499534213120 * nu^18 - 171987471/2251799813685248 * nu^20 + 164351668021/22517998136852480 * nu^22 + 443619019103/36028797018963968 * nu^24) * eps^5*del^24;
C3[6] = + 11/2048 * eps^6
        - 99/16384 * eps^6*del
        - (11/49152 + 143/98304 * nu^2) * eps^6*del^2
        + (33/65536 + 209/196608 * nu^2) * eps^6*del^3
        + (5/16384 + 535/786432 * nu^2 - 817/1572864 * nu^4) * eps^6*del^4
        + (7/65536 - 25/786432 * nu^2 + 3787/6291456 * nu^4) * eps^6*del^5
        + (1/65536 - 137/786432 * nu^2 + 367/6291456 * nu^4 - 3107/12582912 * nu^6) * eps^6*del^6
        - (3/262144 + 161/1572864 * nu^2 + 1031/8388608 * nu^4 - 1381/4194304 * nu^6) * eps^6*del^7
        - (5/393216 + 41/1572864 * nu^2 + 715/16777216 * nu^4 + 415/12582912 * nu^6 + 9161/67108864 * nu^8) * eps^6*del^8
        - (33/4194304 - 5/524288 * nu^2 - 2867/201326592 * nu^4 + 10687/201326592 * nu^6 - 209125/1073741824 * nu^8) * eps^6*del^9
        - (15/4194304 - 139/8388608 * nu^2 - 239/12582912 * nu^4 - 391/402653184 * nu^6 + 41521/1073741824 * nu^8 + 534847/6442450944 * nu^10) * eps^6*del^10
        - (55/50331648 - 619/50331648 * nu^2 - 5161/805306368 * nu^4 - 7193/805306368 * nu^6 + 96059/4294967296 * nu^8 - 1581107/12884901888 * nu^10) * eps^6*del^11
        + (1297/201326592 * nu^2 - 2371/805306368 * nu^4 - 575/3221225472 * nu^6 + 7421/2147483648 * nu^8 - 542575/17179869184 * nu^10 - 697165/12884901888 * nu^12) * eps^6*del^12
        + (11/33554432 + 473/201326592 * nu^2 - 18043/3221225472 * nu^4 - 609/134217728 * nu^6 + 16681/12884901888 * nu^8 - 513731/51539607552 * nu^10 + 5586455/68719476736 * nu^12) * eps^6*del^13
        + (11/33554432 + 55/201326592 * nu^2 - 3563/805306368 * nu^4 - 3491/1073741824 * nu^6 - 18195/8589934592 * nu^8 + 57397/25769803776 * nu^10 - 1227941/51539607552 * nu^12 - 15340379/412316860416 * nu^14) * eps^6*del^14
        + (31/134217728 - 47/100663296 * nu^2 - 30053/12884901888 * nu^4 - 2943/4294967296 * nu^6 - 63263/51539607552 * nu^8 - 589/6442450944 * nu^10 - 76521/17179869184 * nu^12 + 46340141/824633720832 * nu^14) * eps^6*del^15
        + (9/67108864 - 883/1610612736 * nu^2 - 789/1073741824 * nu^4 + 41303/51539607552 * nu^6 + 20585/51539607552 * nu^8 - 143419/206158430208 * nu^10 + 1527703/1099511627776 * nu^12 - 115885687/6597069766656 * nu^14 - 44031031/1649267441664 * nu^16) * eps^6*del^16
        + (211/3221225472 - 643/1610612736 * nu^2 + 401/4294967296 * nu^4 + 18121/17179869184 * nu^6 + 181055/206158430208 * nu^8 + 8917/51539607552 * nu^10 - 520579/3298534883328 * nu^12 - 3165907/1649267441664 * nu^14 + 2126958053/52776558133248 * nu^16) * eps^6*del^17
        + (27/1073741824 - 485/2147483648 * nu^2 + 4603/12884901888 * nu^4 + 36149/51539607552 * nu^6 + 17807/34359738368 * nu^8 + 60551/137438953472 * nu^10 - 2074585/13194139533312 * nu^12 + 1800425/2199023255552 * nu^14 - 683076367/52776558133248 * nu^16 - 697632211/35184372088832 * nu^18) * eps^6*del^18
        + (21/4294967296 - 425/4294967296 * nu^2 + 17215/51539607552 * nu^4 + 27985/103079215104 * nu^6 + 39931/824633720832 * nu^8 + 7345/51539607552 * nu^10 + 960479/6597069766656 * nu^12 - 1469637/8796093022208 * nu^14 - 55547317/70368744177664 * nu^16 + 2099514593/70368744177664 * nu^18) * eps^6*del^19
        - (11/3221225472 + 1333/51539607552 * nu^2 - 22549/103079215104 * nu^4 + 1477/206158430208 * nu^6 + 52013/274877906944 * nu^8 + 441661/3298534883328 * nu^10 - 2430763/52776558133248 * nu^12 + 8631611/105553116266496 * nu^14 - 14797595/35184372088832 * nu^16 + 8137757471/844424930131968 * nu^18 + 51159839921/3377699720527872 * nu^20) * eps^6*del^20
        - (3/536870912 - 395/51539607552 * nu^2 - 11219/103079215104 * nu^4 + 48265/412316860416 * nu^6 + 41999/206158430208 * nu^8 + 100149/549755813888 * nu^10 + 5428027/52776558133248 * nu^12 - 561761/52776558133248 * nu^14 + 18505357/105553116266496 * nu^16 + 266609315/844424930131968 * nu^18 - 306670360117/13510798882111488 * nu^20) * eps^6*del^21
        - (11/2147483648 - 931/51539607552 * nu^2 - 14669/412316860416 * nu^4 + 99457/824633720832 * nu^6 + 131499/1099511627776 * nu^8 + 211625/2199023255552 * nu^10 + 21682411/211106232532992 * nu^12 + 3447307/70368744177664 * nu^14 + 59515427/844424930131968 * nu^16 - 288054097/1688849860263936 * nu^18 + 98508855085/13510798882111488 * nu^20 + 106673174659/9007199254740992 * nu^22) * eps^6*del^22
        - (33/8589934592 - 1801/103079215104 * nu^2 + 1741/824633720832 * nu^4 + 135089/1649267441664 * nu^6 + 111785/3298534883328 * nu^8 + 21869/4398046511104 * nu^10 + 5626865/211106232532992 * nu^12 + 7786235/140737488355328 * nu^14 + 70899901/3377699720527872 * nu^16 + 176096223/1125899906842624 * nu^18 + 7228918885/54043195528445952 * nu^20 - 159196975589/9007199254740992 * nu^22) * eps^6*del^23;
C3[7] = + 429/114688 * eps^7
        - 143/32768 * eps^7*del
        - 143/131072 * nu^2 * eps^7*del^2
        + (13/32768 + 117/131072 * nu^2) * eps^7*del^3
        + (13/65536 + 117/262144 * nu^2 - 793/2097152 * nu^4) * eps^7*del^4
        + (7/131072 - 41/524288 * nu^2 + 1927/4194304 * nu^4) * eps^7*del^5
        - (1/917504 + 1005/7340032 * nu^2 - 37/3670016 * nu^4 + 5295/29360128 * nu^6) * eps^7*del^6
        - (3/262144 + 915/14680064 * nu^2 + 10749/117440512 * nu^4 - 14393/58720256 * nu^6) * eps^7*del^7
        - (35/4194304 + 745/117440512 * nu^2 + 8779/469762048 * nu^4 + 32869/939524096 * nu^6 + 758203/7516192768 * nu^8) * eps^7*del^8
        - (33/8388608 - 3075/234881024 * nu^2 - 15689/939524096 * nu^4 + 63075/1879048192 * nu^6 - 2178535/15032385536 * nu^8) * eps^7*del^9
        - (5/4194304 - 6099/469762048 * nu^2 - 12057/939524096 * nu^4 - 17683/3758096384 * nu^6 + 119695/3758096384 * nu^8 + 466923/7516192768 * nu^10) * eps^7*del^10
        + (7121/939524096 * nu^2 + 2707/1879048192 * nu^4 + 4955/939524096 * nu^6 - 28851/2147483648 * nu^8 + 1580895/17179869184 * nu^10) * eps^7*del^11
        + (11/33554432 + 5679/1879048192 * nu^2 - 32517/7516192768 * nu^4 - 34365/15032385536 * nu^6 + 83071/30064771072 * nu^8 - 5912209/240518168576 * nu^10 - 19701079/481036337152 * nu^12) * eps^7*del^12
        + (143/469762048 + 297/536870912 * nu^2 - 69983/15032385536 * nu^4 - 17183/4294967296 * nu^6 - 2537/8589934592 * nu^8 - 2948045/481036337152 * nu^10 + 59226435/962072674304 * nu^12) * eps^7*del^13
        + (13/67108864 - 2741/7516192768 * nu^2 - 765/268435456 * nu^4 - 115263/60129542144 * nu^6 - 57941/30064771072 * nu^8 + 1195631/962072674304 * nu^10 - 35213539/1924145348608 * nu^12 - 27368535/962072674304 * nu^14) * eps^7*del^14
        + (13/134217728 - 7449/15032385536 * nu^2 - 32875/30064771072 * nu^4 + 17951/120259084288 * nu^6 - 62171/120259084288 * nu^8 - 136729/274877906944 * nu^10 - 21969999/7696581394432 * nu^12 + 661408735/15393162788864 * nu^14) * eps^7*del^15
        + (39/1073741824 - 663/1879048192 * nu^2 - 669/8589934592 * nu^4 + 223897/240518168576 * nu^6 + 45395/68719476736 * nu^8 - 1401717/3848290697216 * nu^10 + 11313499/15393162788864 * nu^12 - 415769097/30786325577728 * nu^14 - 2535873101/123145302310912 * nu^16) * eps^7*del^16
        + (13/2147483648 - 2743/15032385536 * nu^2 + 17511/60129542144 * nu^4 + 382185/481036337152 * nu^6 + 682725/962072674304 * nu^8 + 378047/1099511627776 * nu^10 - 182527/962072674304 * nu^12 - 78600381/61572651155456 * nu^14 + 7656988485/246290604621824 * nu^16) * eps^7*del^17
        - (3/536870912 + 969/15032385536 * nu^2 - 36937/120259084288 * nu^4 - 367495/962072674304 * nu^6 - 251833/962072674304 * nu^8 - 5254861/15393162788864 * nu^10 - 24069/2199023255552 * nu^12 - 56350493/123145302310912 * nu^14 + 176054981/17592186044416 * nu^16 + 30363891801/1970324836974592 * nu^18) * eps^7*del^18
        - (17/2147483648 + 411/120259084288 * nu^2 - 24237/120259084288 * nu^4 - 56677/962072674304 * nu^6 + 43317/481036337152 * nu^8 - 470905/30786325577728 * nu^10 - 17865577/123145302310912 * nu^12 + 6605187/61572651155456 * nu^14 + 66713113/123145302310912 * nu^16 - 91417607087/3940649673949184 * nu^18) * eps^7*del^19
        - (99/15032385536 - 4579/240518168576 * nu^2 - 5673/60129542144 * nu^4 + 86199/962072674304 * nu^6 + 744829/3848290697216 * nu^8 + 9979619/61572651155456 * nu^10 + 3390405/246290604621824 * nu^12 + 63919/7696581394432 * nu^14 - 120624545/492581209243648 * nu^16 + 8450477053/1125899906842624 * nu^18 + 373582905853/31525197391593472 * nu^20) * eps^7*del^20
        - (19/4294967296 - 10359/481036337152 * nu^2 - 23711/962072674304 * nu^4 + 431219/3848290697216 * nu^6 + 546361/3848290697216 * nu^8 + 16909075/123145302310912 * nu^10 + 27392139/246290604621824 * nu^12 + 333767/70368744177664 * nu^14 + 210553939/1970324836974592 * nu^16 + 3527470991/15762598695796736 * nu^18 - 1120549227431/63050394783186944 * nu^20) * eps^7*del^21
        - (11/4294967296 - 15831/962072674304 * nu^2 + 8005/962072674304 * nu^4 + 609303/7696581394432 * nu^6 + 213177/3848290697216 * nu^8 + 1532563/35184372088832 * nu^10 + 17541343/246290604621824 * nu^12 + 59366945/985162418487296 * nu^14 + 300274973/7881299347898368 * nu^16 - 440091871/4503599627370496 * nu^18 + 360691017305/63050394783186944 * nu^20 + 83946397023/9007199254740992 * nu^22) * eps^7*del^22;
C3[8] = + 715/262144 * eps^8
        - 429/131072 * eps^8*del
        + (13/131072 - 221/262144 * nu^2) * eps^8*del^2
        + (325/1048576 + 1573/2097152 * nu^2) * eps^8*del^3
        + (69/524288 + 625/2097152 * nu^2 - 597/2097152 * nu^4) * eps^8*del^4
        + (55/2097152 - 773/8388608 * nu^2 + 3005/8388608 * nu^4) * eps^8*del^5
        - (13/2097152 + 1759/16777216 * nu^2 + 451/33554432 * nu^4 + 1143/8388608 * nu^6) * eps^8*del^6
        - (603/67108864 + 4979/134217728 * nu^2 + 36203/536870912 * nu^4 - 201359/1073741824 * nu^6) * eps^8*del^7
        - (85/16777216 - 91/33554432 * nu^2 + 189/33554432 * nu^4 + 17587/536870912 * nu^6 + 82693/1073741824 * nu^8) * eps^8*del^8
        - (121/67108864 - 6645/536870912 * nu^2 - 16473/1073741824 * nu^4 + 91327/4294967296 * nu^6 - 476905/4294967296 * nu^8) * eps^8*del^9
        - (15/67108864 - 10007/1073741824 * nu^2 - 17073/2147483648 * nu^4 - 47051/8589934592 * nu^6 + 446589/17179869184 * nu^8 + 205925/4294967296 * nu^10) * eps^8*del^10
        + (143/536870912 + 9501/2147483648 * nu^2 - 9985/8589934592 * nu^4 + 699/268435456 * nu^6 - 282995/34359738368 * nu^8 + 4882513/68719476736 * nu^10) * eps^8*del^11
        + (77/268435456 + 5363/4294967296 * nu^2 - 18479/4294967296 * nu^4 - 104235/34359738368 * nu^6 + 64589/34359738368 * nu^8 - 1331869/68719476736 * nu^10 - 4387495/137438953472 * nu^12) * eps^8*del^12
        + (195/1073741824 - 951/8589934592 * nu^2 - 59753/17179869184 * nu^4 - 107577/34359738368 * nu^6 - 143561/137438953472 * nu^8 - 542981/137438953472 * nu^10 + 13182483/274877906944 * nu^12) * eps^8*del^13
        + (91/1073741824 - 7315/17179869184 * nu^2 - 116613/68719476736 * nu^4 - 66059/68719476736 * nu^6 - 832929/549755813888 * nu^8 + 19731/34359738368 * nu^10 - 31543761/2199023255552 * nu^12 - 384269/17179869184 * nu^14) * eps^8*del^14
        + (455/17179869184 - 1443/4294967296 * nu^2 - 28219/68719476736 * nu^4 + 71411/137438953472 * nu^6 - 15789/274877906944 * nu^8 - 80447/137438953472 * nu^10 - 8563443/4398046511104 * nu^12 + 296960799/8796093022208 * nu^14) * eps^8*del^15
        - (11947/68719476736 * nu^2 - 22445/137438953472 * nu^4 - 113149/137438953472 * nu^6 - 380579/549755813888 * nu^8 + 259421/2199023255552 * nu^10 - 766895/2199023255552 * nu^12 + 46708295/4398046511104 * nu^14 + 9184380325/562949953421312 * nu^16) * eps^8*del^16
        - (35/4294967296 + 1935/34359738368 * nu^2 - 75845/274877906944 * nu^4 - 290353/549755813888 * nu^6 - 69605/137438953472 * nu^8 - 1670243/4398046511104 * nu^10 + 165051/1099511627776 * nu^12 + 31997943/35184372088832 * nu^14 - 6929431113/281474976710656 * nu^16) * eps^8*del^17
        - (35/4294967296 - 365/137438953472 * nu^2 - 220317/1099511627776 * nu^4 - 186951/1099511627776 * nu^6 - 98477/1099511627776 * nu^8 - 2014683/8796093022208 * nu^10 - 3345773/35184372088832 * nu^12 - 17788151/70368744177664 * nu^14 + 2228919291/281474976710656 * nu^16 + 6919007951/562949953421312 * nu^18) * eps^8*del^18
        - (195/34359738368 - 5985/274877906944 * nu^2 - 26667/274877906944 * nu^4 + 83389/2199023255552 * nu^6 + 613179/4398046511104 * nu^8 + 1014579/17592186044416 * nu^10 - 7924305/70368744177664 * nu^12 + 3905513/70368744177664 * nu^14 + 901061829/2251799813685248 * nu^16 - 83307417987/4503599627370496 * nu^18) * eps^8*del^19
        - (55/17179869184 - 11765/549755813888 * nu^2 - 3519/137438953472 * nu^4 + 215507/2199023255552 * nu^6 + 2769717/17592186044416 * nu^8 + 5297637/35184372088832 * nu^10 + 7004497/140737488355328 * nu^12 - 5830193/281474976710656 * nu^14 - 164745225/1125899906842624 * nu^16 + 26931385125/4503599627370496 * nu^18 + 42813127725/4503599627370496 * nu^20) * eps^8*del^20
        - (101/68719476736 - 16185/1099511627776 * nu^2 + 17957/2199023255552 * nu^4 + 351219/4398046511104 * nu^6 + 5977179/70368744177664 * nu^8 + 12791719/140737488355328 * nu^10 + 56058161/562949953421312 * nu^12 + 22548357/1125899906842624 * nu^14 + 280725029/4503599627370496 * nu^16 + 3093291343/18014398509481984 * nu^18 - 256859597099/18014398509481984 * nu^20) * eps^8*del^21;
C3[9] = + 2431/1179648 * eps^9
        - 663/262144 * eps^9*del
        + (221/1572864 - 4199/6291456 * nu^2) * eps^9*del^2
        + (255/1048576 + 7973/12582912 * nu^2) * eps^9*del^3
        + (187/2097152 + 2533/12582912 * nu^2 - 2771/12582912 * nu^4) * eps^9*del^4
        + (51/4194304 - 289/3145728 * nu^2 + 28645/100663296 * nu^4) * eps^9*del^5
        - (119/16777216 + 16031/201326592 * nu^2 + 9809/402653184 * nu^4 + 340799/3221225472 * nu^6) * eps^9*del^6
        - (219/33554432 + 8621/402653184 * nu^2 + 13301/268435456 * nu^4 - 315257/2147483648 * nu^6) * eps^9*del^7
        - (1795/603979776 - 7769/1207959552 * nu^2 - 2063/1610612736 * nu^4 + 140965/4831838208 * nu^6 + 583303/9663676416 * nu^8) * eps^9*del^8
        - (99/134217728 - 12575/1207959552 * nu^2 - 10339/805306368 * nu^4 + 28865/2147483648 * nu^6 - 13475807/154618822656 * nu^8) * eps^9*del^9
        + (31/268435456 + 62297/9663676416 * nu^2 + 86995/19327352832 * nu^4 + 21769/4294967296 * nu^6 - 6563935/309237645312 * nu^8 - 23462489/618475290624 * nu^10) * eps^9*del^10
        + (143/536870912 + 48233/19327352832 * nu^2 - 90377/38654705664 * nu^4 + 64487/77309411328 * nu^6 - 3183419/618475290624 * nu^8 + 69496477/1236950581248 * nu^10) * eps^9*del^11
        + (203/1073741824 + 971/2415919104 * nu^2 - 289603/77309411328 * nu^4 - 477647/154618822656 * nu^6 + 152945/137438953472 * nu^8 - 38321521/2473901162496 * nu^10 - 31512689/1236950581248 * nu^12) * eps^9*del^12
        + (195/2147483648 - 11123/38654705664 * nu^2 - 126935/51539607552 * nu^4 - 473521/206158430208 * nu^6 - 1091413/824633720832 * nu^8 - 26441831/9895604649984 * nu^10 + 84069575/2199023255552 * nu^12) * eps^9*del^13
        + (91/3221225472 - 25295/77309411328 * nu^2 - 97945/103079215104 * nu^4 - 437039/1236950581248 * nu^6 - 5434193/4947802324992 * nu^8 + 2932207/19791209299968 * nu^10 - 453150841/39582418599936 * nu^12 - 1898443715/105553116266496 * nu^14) * eps^9*del^14
        - (14599/77309411328 * nu^2 + 47483/618475290624 * nu^4 - 387463/618475290624 * nu^6 - 2007893/9895604649984 * nu^8 + 2673019/4947802324992 * nu^10 + 111386281/79164837199872 * nu^12 - 1908270789/70368744177664 * nu^14) * eps^9*del^15
        - (35/4294967296 + 10225/154618822656 * nu^2 - 87409/412316860416 * nu^4 - 400237/618475290624 * nu^6 - 12272957/19791209299968 * nu^8 - 5639/137438953472 * nu^10 - 19940897/158329674399744 * nu^12 + 449395597/52776558133248 * nu^14 + 33454842545/2533274790395904 * nu^16) * eps^9*del^16
        - (595/77309411328 + 67/103079215104 * nu^2 - 83647/412316860416 * nu^4 - 1591379/4947802324992 * nu^6 - 13133129/39582418599936 * nu^8 - 18554191/52776558133248 * nu^10 + 39445/412316860416 * nu^12 + 435191861/633318697598976 * nu^14 - 12610000871/633318697598976 * nu^16) * eps^9*del^17
        - (85/17179869184 - 3271/154618822656 * nu^2 - 137887/1236950581248 * nu^4 - 163669/3298534883328 * nu^6 + 758563/79164837199872 * nu^8 - 42916843/316659348799488 * nu^10 - 6790661/52776558133248 * nu^12 - 172728047/1266637395197952 * nu^14 + 224782071/35184372088832 * nu^16 + 405614100631/40532396646334464 * nu^18) * eps^9*del^18
        - (85/34359738368 - 6511/309237645312 * nu^2 - 175145/4947802324992 * nu^4 + 113279/1649267441664 * nu^6 + 22311995/158329674399744 * nu^8 + 28684547/316659348799488 * nu^10 - 47733431/633318697598976 * nu^12 + 1255813/70368744177664 * nu^14 + 794279183/2533274790395904 * nu^16 - 406755982819/27021597764222976 * nu^18) * eps^9*del^19
        - (187/206158430208 - 34663/2473901162496 * nu^2 + 38047/9895604649984 * nu^4 + 260695/3298534883328 * nu^6 + 35996693/316659348799488 * nu^8 + 39192805/316659348799488 * nu^10 + 9342149/140737488355328 * nu^12 - 286329265/10133099161583616 * nu^14 - 227892923/2533274790395904 * nu^16 + 49203222961/10133099161583616 * nu^18 + 630714661639/81064793292668928 * nu^20) * eps^9*del^20;
C3[10] = + 4199/2621440 * eps^10
        - 4199/2097152 * eps^10*del
        + (323/2097152 - 2261/4194304 * nu^2) * eps^10*del^2
        + (1615/8388608 + 2261/4194304 * nu^2) * eps^10*del^3
        + (323/5242880 + 22933/167772160 * nu^2 - 58463/335544320 * nu^4) * eps^10*del^4
        + (323/67108864 - 28747/335544320 * nu^2 + 1233537/5368709120 * nu^4) * eps^10*del^5
        - (437/67108864 + 8113/134217728 * nu^2 + 154261/5368709120 * nu^4 + 902177/10737418240 * nu^6) * eps^10*del^6
        - (1235/268435456 + 15713/1342177280 * nu^2 + 782287/21474836480 * nu^4 - 2516493/21474836480 * nu^6) * eps^10*del^7
        - (229/134217728 - 40559/5368709120 * nu^2 - 50921/10737418240 * nu^4 + 2182259/85899345920 * nu^6 + 207625/4294967296 * nu^8) * eps^10*del^8
        - (1243/5368709120 - 5591/671088640 * nu^2 - 220297/21474836480 * nu^4 + 723637/85899345920 * nu^6 - 4797303/68719476736 * nu^8) * eps^10*del^9
        + (215/1073741824 + 5891/1342177280 * nu^2 + 94623/42949672960 * nu^4 + 22907/5368709120 * nu^6 - 1496049/85899345920 * nu^8 - 21053149/687194767360 * nu^10) * eps^10*del^10
        + (871/4294967296 + 29337/21474836480 * nu^2 - 58491/21474836480 * nu^4 - 2851/10737418240 * nu^6 - 56329/17179869184 * nu^8 + 62288357/1374389534720 * nu^10) * eps^10*del^11
        + (119/1073741824 + 2687/85899345920 * nu^2 - 1053079/343597383680 * nu^4 - 1945577/687194767360 * nu^6 + 2903553/5497558138880 * nu^8 - 137941719/10995116277760 * nu^10 - 91166069/4398046511104 * nu^12) * eps^10*del^12
        + (169/4294967296 - 24209/85899345920 * nu^2 - 58155/34359738368 * nu^4 - 27731/17179869184 * nu^6 - 1490445/1099511627776 * nu^8 - 1303033/687194767360 * nu^10 + 5464907637/175921860444160 * nu^12) * eps^10*del^13
        + (91/21474836480 - 3681/17179869184 * nu^2 - 685007/1374389534720 * nu^4 + 2011/1374389534720 * nu^6 - 16478093/21990232555520 * nu^8 - 603741/5497558138880 * nu^10 - 326686441/35184372088832 * nu^12 - 5183181349/351843720888320 * nu^14) * eps^10*del^14
        - (119/17179869184 + 3119/34359738368 * nu^2 - 4457/68719476736 * nu^4 - 1658319/2748779069440 * nu^6 - 1810529/5497558138880 * nu^8 + 19775247/43980465111040 * nu^10 + 752877119/703687441776640 * nu^12 - 15610965871/703687441776640 * nu^14) * eps^10*del^15
        - (63/8589934592 + 2111/171798691840 * nu^2 - 512767/2748779069440 * nu^4 - 523733/1099511627776 * nu^6 - 45160387/87960930222080 * nu^8 - 23367269/175921860444160 * nu^10 - 6789/5497558138880 * nu^12 + 3908222583/562949953421312 * nu^14 + 61250582201/5629499534213120 * nu^16) * eps^10*del^16
        - (323/68719476736 - 12331/687194767360 * nu^2 - 360189/2748779069440 * nu^4 - 49585/274877906944 * nu^6 - 17669567/87960930222080 * nu^8 - 26290667/87960930222080 * nu^10 + 32925609/703687441776640 * nu^12 + 306552083/562949953421312 * nu^14 - 369028258099/22517998136852480 * nu^16) * eps^10*del^17
        - (153/68719476736 - 28871/1374389534720 * nu^2 - 583487/10995116277760 * nu^4 + 55153/5497558138880 * nu^6 + 4109519/70368744177664 * nu^8 - 23707717/351843720888320 * nu^10 - 189030631/1407374883553280 * nu^12 - 98988221/1407374883553280 * nu^14 + 118001058301/22517998136852480 * nu^16 + 373239700963/45035996273704960 * nu^18) * eps^10*del^18
        - (969/1374389534720 - 39797/2748779069440 * nu^2 - 10745/2199023255552 * nu^4 + 749921/10995116277760 * nu^6 + 42824997/351843720888320 * nu^8 + 13905265/140737488355328 * nu^10 - 48878719/1125899906842624 * nu^12 - 19750103/2814749767106560 * nu^14 + 23138465789/90071992547409920 * nu^16 - 112206480195/9007199254740992 * nu^18) * eps^10*del^19;
C3[11] = + 29393/23068672 * eps^11
        - 6783/4194304 * eps^11*del
        + (323/2097152 - 7429/16777216 * nu^2) * eps^11*del^2
        + (323/2097152 + 969/2097152 * nu^2) * eps^11*del^3
        + (2907/67108864 + 24871/268435456 * nu^2 - 150841/1073741824 * nu^4) * eps^11*del^4
        + (133/134217728 - 41553/536870912 * nu^2 + 404149/2147483648 * nu^4) * eps^11*del^5
        - (741/134217728 + 49419/1073741824 * nu^2 + 15941/536870912 * nu^4 + 73017/1073741824 * nu^6) * eps^11*del^6
        - (861/268435456 + 12297/2147483648 * nu^2 + 115181/4294967296 * nu^4 - 1634195/17179869184 * nu^6) * eps^11*del^7
        - (1029/1073741824 - 16035/2147483648 * nu^2 - 53907/8589934592 * nu^4 + 752657/34359738368 * nu^6 + 2709125/68719476736 * nu^8) * eps^11*del^8
        - (11/2147483648 - 27995/4294967296 * nu^2 - 34285/4294967296 * nu^4 + 356121/68719476736 * nu^6 - 7818949/137438953472 * nu^8) * eps^11*del^9
        + (1137/5905580032 + 280851/94489280512 * nu^2 + 138307/188978561024 * nu^4 + 5155899/1511828488192 * nu^6 - 43505155/3023656976384 * nu^8 - 304407045/12094627905536 * nu^10) * eps^11*del^10
        + (299/2147483648 + 17045/23622320128 * nu^2 - 2043127/755914244096 * nu^4 - 1369385/1511828488192 * nu^6 - 25777643/12094627905536 * nu^8 + 449663195/12094627905536 * nu^10) * eps^11*del^11
        + (259/4294967296 - 10267/94489280512 * nu^2 - 3669971/1511828488192 * nu^4 - 3718201/1511828488192 * nu^6 + 2709111/24189255811072 * nu^8 - 995522739/96757023244288 * nu^10 - 6634465023/387028092977152 * nu^12) * eps^11*del^12
        + (117/8589934592 - 20959/94489280512 * nu^2 - 431877/377957122048 * nu^4 - 3312077/3023656976384 * nu^6 - 15337297/12094627905536 * nu^8 - 272769007/193514046488576 * nu^10 + 19856142263/774056185954304 * nu^12) * eps^11*del^13
        - (35/8589934592 + 47737/377957122048 * nu^2 + 360187/1511828488192 * nu^4 - 52207/274877906944 * nu^6 + 11641601/24189255811072 * nu^8 + 99395841/387028092977152 * nu^10 + 2956507699/387028092977152 * nu^12 + 4742660933/387028092977152 * nu^14) * eps^11*del^14
        - (119/17179869184 + 12841/377957122048 * nu^2 - 663537/6047313952768 * nu^4 - 3183027/6047313952768 * nu^6 - 72321217/193514046488576 * nu^8 + 273039735/774056185954304 * nu^10 + 1314757225/1548112371908608 * nu^12 - 10375292139/562949953421312 * nu^14) * eps^11*del^15
        - (333/68719476736 - 31873/3023656976384 * nu^2 - 1708963/12094627905536 * nu^4 - 46187/137438953472 * nu^6 - 157057303/387028092977152 * nu^8 - 69138001/387028092977152 * nu^10 + 201946997/3096224743817216 * nu^12 + 71129487095/12384898975268864 * nu^14 + 450696751149/49539595901075456 * nu^16) * eps^11*del^16
        - (323/137438953472 - 124097/6047313952768 * nu^2 - 926973/12094627905536 * nu^4 - 4405589/48378511622144 * nu^6 - 42652891/387028092977152 * nu^8 - 23404313/96757023244288 * nu^10 + 14011043/1548112371908608 * nu^12 + 11091327349/24769797950537728 * nu^14 - 1356291708397/99079191802150912 * nu^16) * eps^11*del^17
        - (51/68719476736 - 191681/12094627905536 * nu^2 - 467535/24189255811072 * nu^4 + 3316323/96757023244288 * nu^6 + 2694299/35184372088832 * nu^8 - 67325369/3096224743817216 * nu^10 - 1559651077/12384898975268864 * nu^12 - 1644709733/49539595901075456 * nu^14 + 39272110879/9007199254740992 * nu^16 + 2759145403631/396316767208603648 * nu^18) * eps^11*del^18;
C3[12] = + 52003/50331648 * eps^12
        - 22287/16777216 * eps^12*del
        + (7429/50331648 - 37145/100663296 * nu^2) * eps^12*del^2
        + (66861/536870912 + 1285217/3221225472 * nu^2) * eps^12*del^3
        + (8303/268435456 + 100073/1610612736 * nu^2 - 741589/6442450944 * nu^4) * eps^12*del^4
        - (3059/3221225472 + 886673/12884901888 * nu^2 - 2011511/12884901888 * nu^4) * eps^12*del^5
        - (4853/1073741824 + 302381/8589934592 * nu^2 + 1489687/51539607552 * nu^4 + 720659/12884901888 * nu^6) * eps^12*del^6
        - (19159/8589934592 + 17733/8589934592 * nu^2 + 2036995/103079215104 * nu^4 - 5384139/68719476736 * nu^6) * eps^12*del^7
        - (1679/3221225472 - 707227/103079215104 * nu^2 - 695359/103079215104 * nu^4 + 3880445/206158430208 * nu^6 + 107691359/3298534883328 * nu^8) * eps^12*del^8
        + (23/268435456 + 520651/103079215104 * nu^2 + 2517557/412316860416 * nu^4 - 317101/103079215104 * nu^6 + 155216167/3298534883328 * nu^8) * eps^12*del^9
        + (339/2147483648 + 207533/103079215104 * nu^2 - 289561/1649267441664 * nu^4 + 1085563/412316860416 * nu^6 - 79020593/6597069766656 * nu^8 - 46136131/2199023255552 * nu^10) * eps^12*del^10
        + (9347/103079215104 + 37259/103079215104 * nu^2 - 4110917/1649267441664 * nu^4 - 4107245/3298534883328 * nu^6 - 74808917/52776558133248 * nu^8 + 1088699427/35184372088832 * nu^10) * eps^12*del^11
        + (525/17179869184 - 19685/137438953472 * nu^2 - 1558345/824633720832 * nu^4 - 13673635/6597069766656 * nu^6 - 4485617/26388279066624 * nu^8 - 14079451/1649267441664 * nu^10 - 1011418473/70368744177664 * nu^12) * eps^12*del^12
        + (137/68719476736 - 5395/34359738368 * nu^2 - 1258513/1649267441664 * nu^4 - 4734281/6597069766656 * nu^6 - 119396459/105553116266496 * nu^8 - 461878841/422212465065984 * nu^10 + 3022617165/140737488355328 * nu^12) * eps^12*del^13
        - (399/68719476736 + 18345/274877906944 * nu^2 + 628991/6597069766656 * nu^4 - 910159/3298534883328 * nu^6 + 30129859/105553116266496 * nu^8 + 281009615/844424930131968 * nu^10 + 10750275019/1688849860263936 * nu^12 + 1453576227/140737488355328 * nu^14) * eps^12*del^14
        - (2839/549755813888 + 4607/1099511627776 * nu^2 - 1455709/13194139533312 * nu^4 - 11485873/26388279066624 * nu^6 - 313802893/844424930131968 * nu^8 + 112082291/422212465065984 * nu^10 + 1178764811/1688849860263936 * nu^12 - 8733742565/562949953421312 * nu^14) * eps^12*del^15
        - (381/137438953472 - 2447/137438953472 * nu^2 - 215397/2199023255552 * nu^4 - 1011037/4398046511104 * nu^6 - 43804601/140737488355328 * nu^8 - 219764769/1125899906842624 * nu^10 + 82311161/844424930131968 * nu^12 + 5418111943/1125899906842624 * nu^14 + 832663614581/108086391056891904 * nu^16) * eps^12*del^16
        - (1615/1649267441664 - 230939/13194139533312 * nu^2 - 352623/8796093022208 * nu^4 - 1338371/35184372088832 * nu^6 - 28671449/562949953421312 * nu^8 - 213504309/1125899906842624 * nu^10 - 238504729/13510798882111488 * nu^12 + 10230702169/27021597764222976 * nu^14 - 1251573782471/108086391056891904 * nu^16) * eps^12*del^17;
C3[13] = + 185725/218103808 * eps^13
        - 37145/33554432 * eps^13*del
        + (37145/268435456 - 334305/1073741824 * nu^2) * eps^13*del^2
        + (54625/536870912 + 745085/2147483648 * nu^2) * eps^13*del^3
        + (24035/1073741824 + 10925/268435456 * nu^2 - 102695/1073741824 * nu^4) * eps^13*del^4
        - (4025/2147483648 + 260705/4294967296 * nu^2 - 2249975/17179869184 * nu^4) * eps^13*del^5
        - (1955/536870912 + 232415/8589934592 * nu^2 + 936905/34359738368 * nu^4 + 6410675/137438953472 * nu^6) * eps^13*del^6
        - (3335/2147483648 - 1265/8589934592 * nu^2 + 1000385/68719476736 * nu^4 - 17967255/274877906944 * nu^6) * eps^13*del^7
        - (575/2147483648 - 26105/4294967296 * nu^2 - 913445/137438953472 * nu^4 + 4446015/274877906944 * nu^6 + 30124365/1099511627776 * nu^8) * eps^13*del^8
        + (485/4294967296 + 67075/17179869184 * nu^2 + 633665/137438953472 * nu^4 - 1875005/1099511627776 * nu^6 + 86703695/2199023255552 * nu^8) * eps^13*del^9
        + (2075/17179869184 + 94055/68719476736 * nu^2 - 97535/137438953472 * nu^4 + 2172585/1099511627776 * nu^6 - 88406965/8796093022208 * nu^8 - 623094885/35184372088832 * nu^10) * eps^13*del^10
        + (1963/34359738368 + 22685/137438953472 * nu^2 - 607561/274877906944 * nu^4 - 6130501/4398046511104 * nu^6 - 17036825/17592186044416 * nu^8 + 1834968709/70368744177664 * nu^10) * eps^13*del^11
        + (12509/893353197568 - 239093/1786706395136 * nu^2 - 10423547/7146825580544 * nu^4 - 98087579/57174604644352 * nu^6 - 161059895/457396837154816 * nu^8 - 409336169/57174604644352 * nu^10 - 5578276923/457396837154816 * nu^12) * eps^13*del^12
        - (355/137438953472 + 46093/446676598784 * nu^2 + 7235703/14293651161088 * nu^4 + 102958593/228698418577408 * nu^6 + 897914107/914793674309632 * nu^8 + 806849765/914793674309632 * nu^10 - 133174438533/7318349394477056 * nu^12) * eps^13*del^13
        - (713/137438953472 + 210325/7146825580544 * nu^2 + 611233/28587302322176 * nu^4 - 69092513/228698418577408 * nu^6 + 33703779/228698418577408 * nu^8 + 3205547/8796093022208 * nu^10 + 78525037315/14636698788954112 * nu^12 + 257738424265/29273397577908224 * nu^14) * eps^13*del^14
        - (935/274877906944 - 17483/1786706395136 * nu^2 - 2676073/28587302322176 * nu^4 - 318840603/914793674309632 * nu^6 - 79020765/228698418577408 * nu^8 + 352776219/1829587348619264 * nu^10 + 17256479053/29273397577908224 * nu^12 - 773359712323/58546795155816448 * nu^14) * eps^13*del^15
        - (783/549755813888 - 518047/28587302322176 * nu^2 - 904141/14293651161088 * nu^4 - 140258341/914793674309632 * nu^6 - 855428009/3659174697238528 * nu^8 - 2843352397/14636698788954112 * nu^10 + 6438040759/58546795155816448 * nu^12 + 36729647141/9007199254740992 * nu^14 + 3088756106395/468374361246531584 * nu^16) * eps^13*del^16;
C3[14] = + 334305/469762048 * eps^14
        - 1002915/1073741824 * eps^14*del
        + (137655/1073741824 - 570285/2147483648 * nu^2) * eps^14*del^2
        + (360525/4294967296 + 1304445/4294967296 * nu^2) * eps^14*del^3
        + (17595/1073741824 + 437805/17179869184 * nu^2 - 2763795/34359738368 * nu^4) * eps^14*del^4
        - (2415/1073741824 + 916665/17179869184 * nu^2 - 15252795/137438953472 * nu^4) * eps^14*del^5
        - (43815/15032385536 + 628245/30064771072 * nu^2 + 24315255/962072674304 * nu^4 + 75755445/1924145348608 * nu^6) * eps^14*del^6
        - (9315/8589934592 - 174225/120259084288 * nu^2 + 41176095/3848290697216 * nu^4 - 106118205/1924145348608 * nu^6) * eps^14*del^7
        - (525/4294967296 - 634995/120259084288 * nu^2 - 48161475/7696581394432 * nu^4 + 107188365/7696581394432 * nu^6 + 716029425/30786325577728 * nu^8) * eps^14*del^8
        + (7695/68719476736 + 1453995/481036337152 * nu^2 + 52976865/15393162788864 * nu^4 - 12536655/15393162788864 * nu^6 + 8229466095/246290604621824 * nu^8) * eps^14*del^9
        + (6129/68719476736 + 450207/481036337152 * nu^2 - 30833889/30786325577728 * nu^4 + 22198005/15393162788864 * nu^6 - 2093325495/246290604621824 * nu^8 - 7444091223/492581209243648 * nu^10) * eps^14*del^10
        + (9639/274877906944 + 59229/962072674304 * nu^2 - 118008003/61572651155456 * nu^4 - 87780351/61572651155456 * nu^6 - 96167715/140737488355328 * nu^8 + 3126758073/140737488355328 * nu^10) * eps^14*del^11
        + (179/34359738368 - 841217/7696581394432 * nu^2 - 138168741/123145302310912 * nu^4 - 172975959/123145302310912 * nu^6 - 455889055/985162418487296 * nu^8 - 23894589723/3940649673949184 * nu^10 - 5150418545/492581209243648 * nu^12) * eps^14*del^12
        - (14955/3848290697216 + 121287/1924145348608 * nu^2 + 82417627/246290604621824 * nu^4 + 65239791/246290604621824 * nu^6 + 29470539/35184372088832 * nu^8 + 2894287615/3940649673949184 * nu^10 - 245583108789/15762598695796736 * nu^12) * eps^14*del^13
        - (2189/549755813888 + 114007/15393162788864 * nu^2 - 6605127/492581209243648 * nu^4 - 36382767/123145302310912 * nu^6 + 208496089/3940649673949184 * nu^8 + 1454867157/3940649673949184 * nu^10 + 18001036481/3940649673949184 * nu^12 + 238968430623/31525197391593472 * nu^14) * eps^14*del^14
        - (4573/2199023255552 - 466959/30786325577728 * nu^2 - 71396961/985162418487296 * nu^4 - 269399477/985162418487296 * nu^6 - 2435005481/7881299347898368 * nu^8 + 151972671/1125899906842624 * nu^10 + 4007284493/7881299347898368 * nu^12 - 179051518213/15762598695796736 * nu^14) * eps^14*del^15;
C3[15] = + 646323/1073741824 * eps^15
        - 1710855/2147483648 * eps^15*del
        + (63365/536870912 - 1964315/8589934592 * nu^2) * eps^15*del^2
        + (150075/2147483648 + 2297815/8589934592 * nu^2) * eps^15*del^3
        + (26013/2147483648 + 31349/2147483648 * nu^2 - 9397363/137438953472 * nu^4) * eps^15*del^4
        - (10005/4294967296 + 805069/17179869184 * nu^2 - 26084369/274877906944 * nu^4) * eps^15*del^5
        - (10005/4294967296 + 556945/34359738368 * nu^2 + 1593463/68719476736 * nu^4 + 9231947/274877906944 * nu^6) * eps^15*del^6
        - (6525/8589934592 - 149669/68719476736 * nu^2 + 8604039/1099511627776 * nu^4 - 51680001/1099511627776 * nu^6) * eps^15*del^7
        - (2755/68719476736 - 1247783/274877906944 * nu^2 - 1577571/274877906944 * nu^4 + 52902583/4398046511104 * nu^6 + 701715465/35184372088832 * nu^8) * eps^15*del^8
        + (68643/687194767360 + 6458271/2748779069440 * nu^2 + 55811341/21990232555520 * nu^4 - 527075/2199023255552 * nu^6 + 2012660001/70368744177664 * nu^8) * eps^15*del^9
        + (4437/68719476736 + 3545511/5497558138880 * nu^2 - 12525187/10995116277760 * nu^4 + 8955925/8796093022208 * nu^6 - 31850091/4398046511104 * nu^8 - 114528163/8796093022208 * nu^10) * eps^15*del^10
        + (4321/206158430208 + 66439/6597069766656 * nu^2 - 144290167/87960930222080 * nu^4 - 366363931/263882790666240 * nu^6 - 211435259/422212465065984 * nu^8 + 10759004205/562949953421312 * nu^10) * eps^15*del^11
        + (435/549755813888 - 5441183/65970697666560 * nu^2 - 9493237/10995116277760 * nu^4 - 402049069/351843720888320 * nu^6 - 442054453/844424930131968 * nu^8 - 5834440081/1125899906842624 * nu^10 - 20370916281/2251799813685248 * nu^12) * eps^15*del^12
        - (4183/1099511627776 + 4593023/131941395333120 * nu^2 + 233338453/1055531162664960 * nu^4 + 1528031/10995116277760 * nu^6 + 298692391/422212465065984 * nu^8 + 4242200791/6755399441055744 * nu^10 - 60629473277/4503599627370496 * nu^12) * eps^15*del^13
        - (15583/5497558138880 - 253865/52776558133248 * nu^2 - 14121119/527765581332480 * nu^4 - 95815239/351843720888320 * nu^6 - 32860889/3377699720527872 * nu^8 + 24203276591/67553994410557440 * nu^10 + 530339232581/135107988821114880 * nu^12 + 444727802741/67553994410557440 * nu^14) * eps^15*del^14;
C3[16] = + 17678835/34359738368 * eps^16
        - 5892945/8589934592 * eps^16*del
        + (930465/8589934592 - 3411705/17179869184 * nu^2) * eps^16*del^2
        + (4032015/68719476736 + 32566275/137438953472 * nu^2) * eps^16*del^3
        + (310155/34359738368 + 930465/137438953472 * nu^2 - 4032015/68719476736 * nu^4) * eps^16*del^4
        - (310155/137438953472 + 22641315/549755813888 * nu^2 - 44972475/549755813888 * nu^4) * eps^16*del^5
        - (256215/137438953472 + 13876065/1099511627776 * nu^2 + 46509765/2199023255552 * nu^4 + 15898815/549755813888 * nu^6) * eps^16*del^6
        - (1173195/2199023255552 - 11206035/4398046511104 * nu^2 + 99802485/17592186044416 * nu^4 - 1422141585/35184372088832 * nu^6) * eps^16*del^7
        + (2697/549755813888 + 17074707/4398046511104 * nu^2 + 45565815/8796093022208 * nu^4 - 45862485/4398046511104 * nu^6 - 2428483983/140737488355328 * nu^8) * eps^16*del^8
        + (186093/2199023255552 + 32307363/17592186044416 * nu^2 + 64892517/35184372088832 * nu^4 + 17678835/140737488355328 * nu^6 + 3476457273/140737488355328 * nu^8) * eps^16*del^9
        + (101587/2199023255552 + 15785541/35184372088832 * nu^2 - 10384349/8796093022208 * nu^4 + 193316465/281474976710656 * nu^6 - 3498648189/562949953421312 * nu^8 - 398054725/35184372088832 * nu^10) * eps^16*del^10
        + (213063/17592186044416 - 905293/70368744177664 * nu^2 - 392313711/281474976710656 * nu^4 - 184763379/140737488355328 * nu^6 - 431254795/1125899906842624 * nu^8 + 37338996777/2251799813685248 * nu^10) * eps^16*del^11
        - (10943/8796093022208 + 8228919/140737488355328 * nu^2 + 46884989/70368744177664 * nu^4 + 1042902961/1125899906842624 * nu^6 + 619450587/1125899906842624 * nu^8 + 10054922447/2251799813685248 * nu^10 + 35535742029/4503599627370496 * nu^12) * eps^16*del^12
        - (113677/35184372088832 + 4440657/281474976710656 * nu^2 + 82439819/562949953421312 * nu^4 + 62125023/1125899906842624 * nu^6 + 2674229787/4503599627370496 * nu^8 + 1234639325/2251799813685248 * nu^10 - 105635507775/9007199254740992 * nu^12) * eps^16*del^13;
C3[17] = + 64822395/146028888064 * eps^17
        - 10235115/17179869184 * eps^17*del
        + (3411705/34359738368 - 23881935/137438953472 * nu^2) * eps^17*del^2
        + (3411705/68719476736 + 57998985/274877906944 * nu^2) * eps^17*del^3
        + (930465/137438953472 + 310155/274877906944 * nu^2 - 13956975/274877906944 * nu^4) * eps^17*del^4
        - (579855/274877906944 + 9965415/274877906944 * nu^2 - 156223725/2199023255552 * nu^4) * eps^17*del^5
        - (822585/549755813888 + 21670395/2199023255552 * nu^2 + 660765/34359738368 * nu^4 + 883496745/35184372088832 * nu^6) * eps^17*del^6
        - (412641/1099511627776 - 11847921/4398046511104 * nu^2 + 35667825/8796093022208 * nu^4 - 2465751129/70368744177664 * nu^6) * eps^17*del^7
        + (62031/2199023255552 + 3643647/1099511627776 * nu^2 + 81435915/17592186044416 * nu^4 - 79839291/8796093022208 * nu^6 - 264734823/17592186044416 * nu^8) * eps^17*del^8
        + (306559/4398046511104 + 12709163/8796093022208 * nu^2 + 23121381/17592186044416 * nu^4 + 49485455/140737488355328 * nu^6 + 12105861181/562949953421312 * nu^8) * eps^17*del^9
        + (288579/8796093022208 + 11108943/35184372088832 * nu^2 - 81887213/70368744177664 * nu^4 + 121238241/281474976710656 * nu^6 - 6045878385/1125899906842624 * nu^8 - 22303646105/2251799813685248 * nu^10) * eps^17*del^10
        + (116963/17592186044416 - 1447421/70368744177664 * nu^2 - 83029005/70368744177664 * nu^4 - 342945529/281474976710656 * nu^6 - 690144041/2251799813685248 * nu^8 + 65289074301/4503599627370496 * nu^10) * eps^17*del^11
        - (71269/35184372088832 + 2731875/70368744177664 * nu^2 + 18174711/35184372088832 * nu^4 + 422007805/562949953421312 * nu^6 + 2495603633/4503599627370496 * nu^8 + 34919555649/9007199254740992 * nu^10 + 31219263899/4503599627370496 * nu^12) * eps^17*del^12;
C3[18] = + 39803225/103079215104 * eps^18
        - 71645805/137438953472 * eps^18*del
        + (12509585/137438953472 - 42077695/274877906944 * nu^2) * eps^18*del^2
        + (23261625/549755813888 + 25949635/137438953472 * nu^2) * eps^18*del^3
        + (175305/34359738368 - 6450325/2199023255552 * nu^2 - 194718905/4398046511104 * nu^4) * eps^18*del^4
        - (4247775/2199023255552 + 70333265/2199023255552 * nu^2 - 2185356625/35184372088832 * nu^4) * eps^18*del^5
        - (2651151/2199023255552 + 4238785/549755813888 * nu^2 + 614339741/35184372088832 * nu^4 + 1545743297/70368744177664 * nu^6) * eps^18*del^6
        - (2322117/8796093022208 - 11883881/4398046511104 * nu^2 + 398883603/140737488355328 * nu^4 - 4306485993/140737488355328 * nu^6) * eps^18*del^7
        + (1541785/39582418599936 + 895796863/316659348799488 * nu^2 + 1735540177/422212465065984 * nu^4 - 40194972341/5066549580791808 * nu^6 - 8370906347/633318697598976 * nu^8) * eps^18*del^8
        + (1987689/35184372088832 + 362562205/316659348799488 * nu^2 + 96121979/105553116266496 * nu^4 + 818829877/1688849860263936 * nu^6 + 382130357723/20266198323167232 * nu^8) * eps^18*del^9
        + (815455/35184372088832 + 142702951/633318697598976 * nu^2 - 5639464417/5066549580791808 * nu^4 + 99113107/422212465065984 * nu^6 - 5914501625/1266637395197952 * nu^8 - 353872409713/40532396646334464 * nu^10) * eps^18*del^10
        + (468875/140737488355328 - 13009801/633318697598976 * nu^2 - 5054597957/5066549580791808 * nu^4 - 5659283771/5066549580791808 * nu^6 - 10387485301/40532396646334464 * nu^8 + 258631862207/20266198323167232 * nu^10) * eps^18*del^11;
C3[19] = + 883631595/2611340115968 * eps^19
        - 126233085/274877906944 * eps^19*del
        + (11475735/137438953472 - 149184555/1099511627776 * nu^2) * eps^19*del^2
        + (2494725/68719476736 + 93302715/549755813888 * nu^2) * eps^19*del^3
        + (8482065/2199023255552 - 51391335/8796093022208 * nu^2 - 1367608245/35184372088832 * nu^4) * eps^19*del^4
        - (7683753/4398046511104 + 497647743/17592186044416 * nu^2 - 3844770381/70368744177664 * nu^4) * eps^19*del^5
        - (4290927/4398046511104 + 212450781/35184372088832 * nu^2 + 139405233/8796093022208 * nu^4 + 680660769/35184372088832 * nu^6) * eps^19*del^6
        - (1629887/8796093022208 - 184909017/70368744177664 * nu^2 + 134482309/70368744177664 * nu^4 - 15142614857/562949953421312 * nu^6) * eps^19*del^7
        + (1496835/35184372088832 + 42543377/17592186044416 * nu^2 + 63964749/17592186044416 * nu^4 - 7839723207/1125899906842624 * nu^6 - 26310334477/2251799813685248 * nu^8) * eps^19*del^8
        + (3192101/70368744177664 + 8041617/8796093022208 * nu^2 + 170076013/281474976710656 * nu^4 + 1252928891/2251799813685248 * nu^6 + 74942443983/4503599627370496 * nu^8) * eps^19*del^9
        + (143375/8796093022208 + 23016849/140737488355328 * nu^2 - 36748733/35184372088832 * nu^4 + 387992249/4503599627370496 * nu^6 - 36793329507/9007199254740992 * nu^8 - 278965199741/36028797018963968 * nu^10) * eps^19*del^10;
C3[20] = + 328206021/1099511627776 * eps^20
        - 447553665/1099511627776 * eps^20*del
        + (84321705/1099511627776 - 265937685/2199023255552 * nu^2) * eps^20*del^2
        + (551334225/17592186044416 + 5390102835/35184372088832 * nu^2) * eps^20*del^3
        + (128428443/43980465111040 - 86916219/10995116277760 * nu^2 - 12081354441/351843720888320 * nu^4) * eps^20*del^4
        - (55183317/35184372088832 + 17653372623/703687441776640 * nu^2 - 34011783393/703687441776640 * nu^4) * eps^20*del^5
        - (27907657/35184372088832 + 1330619789/281474976710656 * nu^2 + 40509244761/2814749767106560 * nu^4 + 12062261479/703687441776640 * nu^6) * eps^20*del^6
        - (36422985/281474976710656 - 1763570997/703687441776640 * nu^2 + 3411819173/2814749767106560 * nu^4 - 66958718367/2814749767106560 * nu^6) * eps^20*del^7
        + (742109/17592186044416 + 11664575933/5629499534213120 * nu^2 + 9032153583/2814749767106560 * nu^4 - 34545838063/5629499534213120 * nu^6 - 374298178149/36028797018963968 * nu^8) * eps^20*del^8
        + (25498957/703687441776640 + 8089791/10995116277760 * nu^2 + 8386188417/22517998136852480 * nu^4 + 26447169283/45035996273704960 * nu^6 + 532234744599/36028797018963968 * nu^8) * eps^20*del^9;
C3[21] = + 2038855585/7696581394432 * eps^21
        - 797813055/2199023255552 * eps^21*del
        + (620521265/8796093022208 - 3811773485/35184372088832 * nu^2) * eps^21*del^2
        + (478687833/17592186044416 + 9768777629/70368744177664 * nu^2) * eps^21*del^3
        + (77735631/35184372088832 - 328671703/35184372088832 * nu^2 - 1073297221/35184372088832 * nu^4) * eps^21*del^4
        - (295940911/211106232532992 + 9419649181/422212465065984 * nu^2 - 24194874203/562949953421312 * nu^4) * eps^21*del^5
        - (159562611/246290604621824 + 21838257179/5910974510923776 * nu^2 + 103097903451/7881299347898368 * nu^4 + 481482224367/31525197391593472 * nu^6) * eps^21*del^6
        - (3150809/35184372088832 - 13950418469/5910974510923776 * nu^2 + 32291230631/47287796087390208 * nu^4 - 1333784899943/63050394783186944 * nu^6) * eps^21*del^7
        + (5596213/140737488355328 + 21048203579/11821949021847552 * nu^2 + 267520284631/94575592174780416 * nu^4 - 1027067751893/189151184349560832 * nu^6 - 7025966651275/756604737398243328 * nu^8) * eps^21*del^8;
C3[22] = + 11435320455/48378511622144 * eps^22
        - 11435320455/35184372088832 * eps^22*del
        + (2287064091/35184372088832 - 6861192273/70368744177664 * nu^2) * eps^22*del^2
        + (3342632133/140737488355328 + 17768728707/140737488355328 * nu^2) * eps^22*del^3
        + (58642669/35184372088832 - 5805624231/562949953421312 * nu^2 - 30670115887/1125899906842624 * nu^4) * eps^22*del^4
        - (175928007/140737488355328 + 11200749779/562949953421312 * nu^2 - 172937230881/4503599627370496 * nu^4) * eps^22*del^5
        - (74819957/140737488355328 + 1619750961/562949953421312 * nu^2 + 53617598915/4503599627370496 * nu^4 + 123192070281/9007199254740992 * nu^6) * eps^22*del^6
        - (34376737/562949953421312 - 2481191547/1125899906842624 * nu^2 + 5093823559/18014398509481984 * nu^4 - 170300332937/9007199254740992 * nu^6) * eps^22*del^7;
C3[23] = + 171529806825/809240558043136 * eps^23
        - 20583576819/70368744177664 * eps^23*del
        + (527784021/8796093022208 - 24805848987/281474976710656 * nu^2) * eps^23*del^2
        + (1466066725/70368744177664 + 32429395957/281474976710656 * nu^2) * eps^23*del^3
        + (175928007/140737488355328 - 6157480245/562949953421312 * nu^2 - 110072289713/4503599627370496 * nu^4) * eps^23*del^4
        - (313434955/281474976710656 + 20033549027/1125899906842624 * nu^2 - 310391602695/9007199254740992 * nu^4) * eps^23*del^5
        - (123351821/281474976710656 + 5016981441/2251799813685248 * nu^2 + 6108948381/562949953421312 * nu^4 + 110832622249/9007199254740992 * nu^6) * eps^23*del^6;
C3[24] = + 107492012277/562949953421312 * eps^24
        - 74417546961/281474976710656 * eps^24*del
        + (46855492531/844424930131968 - 135054066707/1688849860263936 * nu^2) * eps^24*del^2
        + (41343081645/2251799813685248 + 1424958214031/13510798882111488 * nu^2) * eps^24*del^3
        + (1045457237/1125899906842624 - 152731798169/13510798882111488 * nu^2 - 297575146277/13510798882111488 * nu^4) * eps^24*del^4
        - (4466953649/4503599627370496 + 862312137391/54043195528445952 * nu^2 - 1678148948519/54043195528445952 * nu^4) * eps^24*del^5;
C3[25] = + 1215486600363/7036874417766400 * eps^25
        - 135054066707/562949953421312 * eps^25*del
        + (57880314303/1125899906842624 - 327988447717/4503599627370496 * nu^2) * eps^25*del^2
        + (36591003295/2251799813685248 + 872196460359/9007199254740992 * nu^2) * eps^25*del^3
        + (15301692287/22517998136852480 - 516931082913/45035996273704960 * nu^2 - 897477517181/45035996273704960 * nu^4) * eps^25*del^4;
C3[26] = + 2295919134019/14636698788954112 * eps^26
        - 983965343151/4503599627370496 * eps^26*del
        + (214888982987/4503599627370496 - 599427163069/9007199254740992 * nu^2) * eps^26*del^2
        + (260128768879/18014398509481984 + 803006199583/9007199254740992 * nu^2) * eps^26*del^3;
C3[27] = + 17383387729001/121597189939003392 * eps^27
        - 1798281489207/9007199254740992 * eps^27*del
        + (599427163069/13510798882111488 - 6593698793759/108086391056891904 * nu^2) * eps^27*del^2;
C3[28] = + 4709784852685/36028797018963968 * eps^28
        - 6593698793759/36028797018963968 * eps^28*del;
C3[29] = + 125280277081421/1044835113549955072 * eps^29;