r1:=sqrt(5);
r2:=sqrt(17);
r3:=sqrt(-(2*sqrt(5)+1));

t1:=((51*sqrt(-3) + 374)*sqrt(5) + 1/2*(51*sqrt(-3) + 1989))^(1/3);
r4:=(1/3876*(-21*sqrt(-3) - 11)*sqrt(5) + 1/1292*(13*sqrt(-3) + 43))*t1^2 + 1/3*t1 + 1/3*sqrt(5);
t2:=((-1192*sqrt(5) - 1264)*r4^2 + (5172*sqrt(5) + 10020)*r4 + 28572*sqrt(5) + 56516 +sqrt((3495744*sqrt(5) + 4689792)*r4^2 + (-15532992*sqrt(5) - 30786048)*r4 + -95589504*sqrt(5) - 196394112))^(1/3);
r5:=-((1-sqrt(-3))*t2)/(12*2^(1/3))+((1+sqrt(-3))*(6*(5*sqrt(5)*r4^2-14*sqrt(5)*r4-100*sqrt(5)+r4^2-28*r4-148)-(3*sqrt(5)*r4+8*sqrt(5)-2*r4^2+7*r4+40)^2))/(6*2^(2/3)*t2)+1/6*(-3*sqrt(5)*r4-8*sqrt(5)+2*r4^2-7*r4-40);

zeta_17:=exp(2*Pi*I/17);
r6:=(2*zeta_17^14 + 2*zeta_17^12 - 2*zeta_17^11 - 2*zeta_17^10 - 2*zeta_17^7 - 2*zeta_17^6 + 2*zeta_17^5 + 2*zeta_17^3);
r7:=(4*zeta_17^15 - 4*zeta_17^9 - 4*zeta_17^8 + 4*zeta_17^2);
r8:=zeta_17;

fid323c:=[
0,
((((((-580510*r1 + 1404662)*r2 - 51306*r1 - 403614)*r3*r4^2 + ((-64772*r1 + 953544)*r2 - 252892*r1 - 2018920)*r3*r4 + ((6903148*r1 - 13925248)*r2 - 1003748*r1 - 1120232)*r3)*r5^2 + (((-2545450*r1 + 6424898)*r2 - 114478*r1 - 2054858)*r3*r4^2 + ((-396068*r1 + 5228132)*r2 - 4695604*r1 - 9859660)*r3*r4 + ((32490884*r1 - 66320132)*r2 - 11431548*r1 - 14172628)*r3)*r5 + (((-2292260*r1 + 5887276)*r2 - 153340*r1 - 2108748)*r3*r4^2 + ((-409534*r1 + 6143654)*r2 - 8999290*r1 - 3580846)*r3*r4 + ((34513702*r1 - 68810330)*r2 - 10712822*r1 - 19773958)*r3))*r6 + ((((2283024*r1 - 5798336)*r2 + (761600*r1 + 1412496))*r3*r4^2 + ((177328*r1 - 3785760)*r2 + (634576*r1 + 9675040))*r3*r4 + ((-28100536*r1 + 59230824)*r2 + (1218696*r1 + 1025032))*r3)*r5^2 + (((11450144*r1 - 28989280)*r2 - 7364400*r1 + 26692720)*r3*r4^2 + ((-37448*r1 - 24664024)*r2 + (26597112*r1 + 55625768))*r3*r4 + ((-149113208*r1 + 288038248)*r2 + (147409448*r1 - 65501816))*r3)*r5 + (((13225776*r1 - 30442992)*r2 - 25040592*r1 + 58140816)*r3*r4^2 + ((-3586000*r1 - 36318416)*r2 + (62635616*r1 + 40419200))*r3*r4 + ((-196174216*r1 + 303333544)*r2 + (341246440*r1 - 202208744))*r3)))*r7 + (((((-2110216*r1 + 4645880)*r2 - 7033240*r1 + 14985704)*r3*r4^2 + ((-235904*r1 + 2167520)*r2 - 1082560*r1 + 9306208)*r3*r4 + ((24324560*r1 - 48606560)*r2 + (77929360*r1 - 145335040))*r3)*r5^2 + (((-8677200*r1 + 20678752)*r2 - 27824784*r1 + 67362432)*r3*r4^2 + ((-4962336*r1 + 11099568)*r2 - 18406784*r1 + 27523952)*r3*r4 + ((101355032*r1 - 238944184)*r2 + (326741768*r1 - 822315432))*r3)*r5 + (((-6541672*r1 + 17203384)*r2 - 20255704*r1 + 61700616)*r3*r4^2 + ((-9950392*r1 + 15592776)*r2 - 39678952*r1 + 15646936)*r3*r4 + ((92935560*r1 - 251311720)*r2 + (297924728*r1 - 1085007320))*r3))*r6 + ((((5406272*r1 - 11114816)*r2 + (23170048*r1 - 51068544))*r3*r4^2 + ((2166080*r1 + 2203200)*r2 + (5084224*r1 - 12702400))*r3*r4 + ((-57153184*r1 + 139887712)*r2 - 251452576*r1 + 542820064)*r3)*r5^2 + (((26111840*r1 - 52927648)*r2 + (81917152*r1 - 189554080))*r3*r4^2 + ((22637280*r1 - 6112032)*r2 + (62496352*r1 - 94282272))*r3*r4 + ((-274502912*r1 + 698986304)*r2 - 936092352*r1 + 2338273024)*r3)*r5 + (((25591520*r1 - 49040160)*r2 + (27768480*r1 - 64463456))*r3*r4^2 + ((32569408*r1 - 39323648)*r2 + (75975040*r1 - 168965312))*r3*r4 + ((-319012832*r1 + 762791072)*r2 - 796769056*r1 + 2005048544)*r3))))*r8 + ((((((-155615*r1 + 317977)*r2 - 700077*r1 + 1583091)*r3 + ((49571*r1 - 114133)*r2 + (298129*r1 - 373711)))*r4^2 + (((-20015*r1 + 145221)*r2 - 153901*r1 + 251855)*r3 + ((-133969*r1 - 59185)*r2 + (999685*r1 - 602395)))*r4 + (((1632625*r1 - 2976185)*r2 + (8142575*r1 - 18800895))*r3 + ((-1105401*r1 + 1300873)*r2 - 575263*r1 + 3859527)))*r5^2 + ((((-375129*r1 + 923083)*r2 - 3743247*r1 + 8377005)*r3 + ((230413*r1 - 799843)*r2 + (1052011*r1 - 798133)))*r4^2 + (((-513213*r1 + 289505)*r2 - 1736771*r1 + 3805263)*r3 + ((52497*r1 - 843733)*r2 + (2190263*r1 + 6433837)))*r4 + (((4217987*r1 - 13253795)*r2 + (43064621*r1 - 95858325))*r3 + ((-2992101*r1 + 7681605)*r2 - 2527475*r1 + 24152971)))*r5 + ((((241444*r1 - 128854)*r2 - 4490516*r1 + 9218182)*r3 + ((-161158*r1 - 574636)*r2 + (2122110*r1 - 2580124)))*r4^2 + (((-1131915*r1 - 83985)*r2 - 2085237*r1 + 9375857)*r3 + ((1372009*r1 - 508573)*r2 - 2406673*r1 + 16100581))*r4 + (((-501349*r1 - 13044737)*r2 + (58203393*r1 - 104480691))*r3 + ((4822903*r1 + 8714027)*r2 - 20276971*r1 + 48949681))))*r6 + (((((1277456*r1 - 2746360)*r2 + (8114440*r1 - 17717536))*r3 + ((371032*r1 - 588544)*r2 - 4578848*r1 + 10126696))*r4^2 + (((278784*r1 - 1228016)*r2 + (1399032*r1 - 7300344))*r3 + ((832504*r1 + 329992)*r2 - 4403136*r1 + 6289456))*r4 + (((-14107676*r1 + 28660676)*r2 - 91685828*r1 + 187460972)*r3 + ((-1949932*r1 + 8671524)*r2 + (44492604*r1 - 107570628))))*r5^2 + ((((5583204*r1 - 13007788)*r2 + (33105324*r1 - 77181700))*r3 + ((1342844*r1 - 1079124)*r2 - 18358028*r1 + 38185060))*r4^2 + (((3606788*r1 - 4906436)*r2 + (20650172*r1 - 38493916))*r3 + ((2358964*r1 + 4919708)*r2 - 8355364*r1 + 12246868))*r4 + (((-63996948*r1 + 157585852)*r2 - 382194476*r1 + 910475732)*r3 + ((-6317196*r1 + 27365396)*r2 + (188979548*r1 - 421469780))))*r5 + ((((5034296*r1 - 12435680)*r2 + (24131704*r1 - 62638608))*r3 + ((1716840*r1 - 843296)*r2 - 20359336*r1 + 43204480))*r4^2 + (((5998876*r1 - 6987196)*r2 + (39814612*r1 - 52046452))*r3 + ((-595004*r1 + 7157148)*r2 + (7944508*r1 - 25939484)))*r4 + (((-72937912*r1 + 196519560)*r2 - 333379792*r1 + 955282768)*r3 + ((-14586376*r1 + 24138360)*r2 + (218089600*r1 - 532045600))))))*r7 + (((((-921204*r1 + 1975852)*r2 - 4408508*r1 + 9946564)*r3 + ((-578284*r1 + 1748836)*r2 + (7593084*r1 - 20960116)))*r4^2 + (((-138500*r1 - 2988)*r2 - 927724*r1 + 1911548)*r3 + ((307420*r1 + 1687732)*r2 - 2151180*r1 - 20572516))*r4 + (((10070992*r1 - 22589976)*r2 + (49534736*r1 - 112364968))*r3 + ((9705656*r1 - 18504176)*r2 - 109801912*r1 + 206838864)))*r5^2 + ((((-3048488*r1 + 6751448)*r2 - 19745432*r1 + 44928552)*r3 + ((-3185008*r1 + 9310608)*r2 + (39488688*r1 - 110755408)))*r4^2 + (((-3093116*r1 + 2646924)*r2 - 10808804*r1 + 21628692)*r3 + ((3254244*r1 + 10175260)*r2 - 20613860*r1 - 113671452))*r4 + (((33741936*r1 - 88979768)*r2 + (232607056*r1 - 534167336))*r3 + ((46111784*r1 - 70404272)*r2 - 554782216*r1 + 954286704)))*r5 + ((((-1006480*r1 + 1608432)*r2 - 19393872*r1 + 40485296)*r3 + ((-4097312*r1 + 11141296)*r2 + (50677408*r1 - 136895152)))*r4^2 + (((-5304880*r1 + 10589272)*r2 - 15239888*r1 + 54235304)*r3 + ((4874032*r1 + 11214104)*r2 - 25400720*r1 - 125967416))*r4 + (((25562644*r1 - 55778284)*r2 + (281067324*r1 - 540837252))*r3 + ((46235588*r1 - 59550940)*r2 - 643828148*r1 + 1060381868))))*r6 + ((((12531584*r1 - 26856928)*r2 + (63856352*r1 - 143407104))*r3 + ((2518944*r1 - 6815680)*r2 + (6139584*r1 - 18346400)))*r4^2 + (((2724480*r1 - 9837152)*r2 + (9826272*r1 - 68288320))*r3 + ((-522880*r1 - 7200544)*r2 - 3958688*r1 - 22780544))*r4 + (((-139155744*r1 + 289814624)*r2 - 731453152*r1 + 1501141344)*r3 + ((-32436192*r1 + 58323616)*r2 - 86832736*r1 + 140125152)))*r5^2 + ((((54269600*r1 - 124091040)*r2 + (269441568*r1 - 642564640))*r3 + ((11699136*r1 - 33375552)*r2 + (21788288*r1 - 76941184)))*r4^2 + (((36923376*r1 - 47831280)*r2 + (135524816*r1 - 370521936))*r3 + ((-3715184*r1 - 40420752)*r2 - 24987280*r1 - 132119920))*r4 + (((-617208832*r1 + 1507007680)*r2 - 3195753024*r1 + 7312640576)*r3 + ((-172712128*r1 + 303948928)*r2 - 401636288*r1 + 585451712)))*r5 + (((49726912*r1 - 119426304)*r2 + (227597632*r1 - 562722304))*r3 + ((14214432*r1 - 40167520)*r2 + (12682272*r1 - 63183968)))*r4^2 + (((69085152*r1 - 86258752)*r2 + (242520096*r1 - 562653760))*r3 + ((-3713664*r1 - 42083936)*r2 - 26976960*r1 - 135742688))*r4 + ((-652271424*r1 + 1733507968)*r2 - 3252345888*r1 + 7636034976)*r3 + (-219565824*r1 + 409104960)*r2 - 366235488*r1 + 1026044384,
(((((((358251*r1 - 888025)*r2 - 1082407*r1 + 2642157)*r3 + ((113525*r1 - 300523)*r2 + (1120487*r1 - 2109513)))*r4^2 + (((58883*r1 - 509315)*r2 - 82807*r1 + 2330343)*r3 + ((361741*r1 - 62453)*r2 + (384047*r1 - 691543)))*r4 + (((-4316974*r1 + 9356808)*r2 + (13274994*r1 - 25219364))*r3 + ((-398126*r1 + 3706064)*r2 - 12848294*r1 + 25520876)))*r5^2 + ((((1651358*r1 - 4058776)*r2 - 5214070*r1 + 13498272)*r3 + ((633840*r1 - 943578)*r2 + (5529760*r1 - 11783686)))*r4^2 + (((167913*r1 - 3493687)*r2 - 320161*r1 + 10547599)*r3 + ((176757*r1 - 315191)*r2 + (4630851*r1 + 1350463)))*r4 + (((-20939003*r1 + 40495211)*r2 + (67387915*r1 - 137763427))*r3 + ((-6941783*r1 + 11179315)*r2 - 54112513*r1 + 151210189)))*r5 + ((((1731386*r1 - 3825912)*r2 - 6211834*r1 + 16331152)*r3 + ((1185448*r1 - 803434)*r2 + (6837264*r1 - 17587350)))*r4^2 + (((-272564*r1 - 5388082)*r2 - 983824*r1 + 10523646)*r3 + ((-2869570*r1 - 1105344)*r2 + (11158358*r1 + 5869556)))*r4 + (((-24807137*r1 + 34992507)*r2 + (80492841*r1 - 175976027))*r3 + ((-20516143*r1 + 2586793)*r2 - 44954817*r1 + 216334095))))*r6 + (((((-2151480*r1 + 5365864)*r2 + (9376656*r1 - 22629040))*r3 + ((-318744*r1 + 905464)*r2 - 6067232*r1 + 13255920))*r4^2 + (((-543728*r1 + 2975184)*r2 + (1779288*r1 - 16053848))*r3 + ((-1735688*r1 + 354312)*r2 - 666672*r1 + 9338576))*r4 + (((26045692*r1 - 58383484)*r2 - 113434676*r1 + 232371844)*r3 + ((745028*r1 - 14507716)*r2 + (68681428*r1 - 127539780))))*r5^2 + ((((-10540544*r1 + 25354792)*r2 + (45878240*r1 - 112813224))*r3 + ((-3809120*r1 + 6391752)*r2 - 24894256*r1 + 60938472))*r4^2 + (((-638764*r1 + 20799140)*r2 + (4754764*r1 - 81885124))*r3 + ((-237500*r1 - 1440124)*r2 - 13264964*r1 + 33763836))*r4 + (((131096708*r1 - 249452508)*r2 - 573546884*r1 + 1160955500)*r3 + ((36353308*r1 - 68163412)*r2 + (301758228*r1 - 705795052))))*r5 + ((((-12113312*r1 + 26276608)*r2 + (54415232*r1 - 134645168))*r3 + ((-8543008*r1 + 11411248)*r2 - 27809008*r1 + 79499344))*r4^2 + (((3450940*r1 + 29538004)*r2 + (6148220*r1 - 82674876))*r3 + ((13162060*r1 - 1308492)*r2 - 41657956*r1 + 28505396))*r4 + (((159527180*r1 - 223888204)*r2 - 667658476*r1 + 1391626460)*r3 + ((106809564*r1 - 72421692)*r2 + (287990676*r1 - 990926532))))))*r7 + ((((((679020*r1 - 1621668)*r2 - 1342524*r1 + 2702932)*r3 + ((1102836*r1 - 2519932)*r2 + (12564700*r1 - 24784436)))*r4^2 + (((816252*r1 + 233884)*r2 - 1204620*r1 + 1137844)*r3 + ((1115908*r1 - 996892)*r2 + (11629292*r1 - 608532)))*r4 + (((-5718372*r1 + 20307684)*r2 + (12139700*r1 - 28394964))*r3 + ((-10722764*r1 + 29480780)*r2 - 119229636*r1 + 317112356)))*r5^2 + ((((2809396*r1 - 4819188)*r2 - 11028308*r1 + 23399956)*r3 + ((5715428*r1 - 11756212)*r2 + (64306716*r1 - 121242572)))*r4^2 + (((1472088*r1 - 2843904)*r2 - 6962520*r1 + 3076864)*r3 + ((2593424*r1 - 4536744)*r2 + (55922928*r1 + 15356712)))*r4 + (((-31357096*r1 + 56696736)*r2 + (120381352*r1 - 299253312))*r3 + ((-63561992*r1 + 135137424)*r2 - 628762136*r1 + 1609568432)))*r5 + ((((2059676*r1 + 421724)*r2 - 18568828*r1 + 40386084)*r3 + ((9321780*r1 - 17486764)*r2 + (80911500*r1 - 145240180)))*r4^2 + (((-3231292*r1 - 11739948)*r2 - 12511796*r1 + 10407740)*r3 + ((-1257116*r1 - 8084348)*r2 + (49924172*r1 - 8505236)))*r4 + (((-43356784*r1 - 14915000)*r2 + (206548912*r1 - 517701544))*r3 + ((-101991240*r1 + 150792512)*r2 - 848939608*r1 + 1766319040))))*r6 + (((((-1829792*r1 + 5421088)*r2 + (36464320*r1 - 81147392))*r3 + ((-5325472*r1 + 13915296)*r2 + (1653760*r1 + 4651200)))*r4^2 + (((111968*r1 + 2550208)*r2 + (12182336*r1 - 53409376))*r3 + ((1551616*r1 + 5949280)*r2 + (13302432*r1 + 23648768)))*r4 + (((27035488*r1 - 65935552)*r2 - 412560896*r1 + 834946976)*r3 + ((74024608*r1 - 162321408)*r2 + (28651392*r1 + 113696))))*r5^2 + ((((-6003312*r1 + 17097072)*r2 + (179375024*r1 - 417527344))*r3 + ((-35499600*r1 + 89763600)*r2 - 34362032*r1 + 125174128))*r4^2 + (((9157824*r1 + 21968800)*r2 + (65392064*r1 - 195984160))*r3 + ((-1214176*r1 + 63470336)*r2 + (53881568*r1 + 195722496)))*r4 + (((91201632*r1 - 103058336)*r2 - 2119851040*r1 + 4753324576)*r3 + ((452658432*r1 - 907402304)*r2 + (615033344*r1 - 788223360))))*r5 + ((((-1817136*r1 + 2994160)*r2 + (211057584*r1 - 541111088))*r3 + ((-60720048*r1 + 135791024)*r2 - 126734864*r1 + 319790672))*r4^2 + (((22197632*r1 + 29785536)*r2 + (154317024*r1 - 104595424))*r3 + ((-19452960*r1 + 162816928)*r2 + (11307584*r1 + 380819584)))*r4 + (((45949664*r1 + 179950944)*r2 - 2322339808*r1 + 6682852320)*r3 + ((691206624*r1 - 997124256)*r2 + (1548425824*r1 - 2020243552)))))))*r8 + ((((((-155278*r1 + 420608)*r2 + (871182*r1 - 2260864))*r3 + ((121410*r1 - 339036)*r2 + (1026494*r1 - 2003892)))*r4^2 + (((-8300*r1 + 562636)*r2 + (258740*r1 - 2071892))*r3 + ((89604*r1 - 67184)*r2 + (456076*r1 - 558144)))*r4 + (((1945966*r1 - 3356096)*r2 - 10808090*r1 + 22710708)*r3 + ((-1106218*r1 + 3728104)*r2 - 12278522*r1 + 26148788)))*r5^2 + ((((-685776*r1 + 1997256)*r2 + (3715248*r1 - 9741408))*r3 + ((697148*r1 - 1536264)*r2 + (6130540*r1 - 13186152)))*r4^2 + (((406882*r1 + 2239636)*r2 - 1301010*r1 - 8638652)*r3 + ((27854*r1 - 1650340)*r2 + (4319802*r1 + 556852)))*r4 + (((10445359*r1 - 18244681)*r2 - 49659363*r1 + 88927901)*r3 + ((-9367019*r1 + 15075797)*r2 - 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0,
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