{ "Index":169, "Name":"10_85", "RolfsenName":"10_85", "DTname":"10a_86", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-7, 9, -1, 15, -17, -19, 5, -3, -11, -13}", "Acode":"{-4, 5, -1, 8, -9, -10, 3, -2, -6, -7}", "PDcode":[ "{2, 7, 3, 8}", "{4, 10, 5, 9}", "{6, 1, 7, 2}", "{8, 16, 9, 15}", "{10, 17, 11, 18}", "{12, 19, 13, 20}", "{14, 6, 15, 5}", "{16, 3, 17, 4}", "{18, 11, 19, 12}", "{20, 13, 1, 14}" ], "CBtype":"{2, 2}", "ParabolicReps":{ "SolvingSeq":[ "{9, 6, 2}", [], [ "{9, -6, 10, 1}", "{6, -10, 7, 1}", "{6, -9, 5, 2}", "{2, 5, 3, 1}", "{9, -2, 8, 2}", "{5, 8, 4, 2}", "{2, -4, 1, 2}" ], "{7, 10}", "{3}", 3 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-1 - a*b + u - a^2*u + a*b*u + 4*a^2*u^3 + 2*a*b*u^3 - b^2*u^3 - 4*a^2*u^5 - 6*a*b*u^5 - 2*b^2*u^5 + a^2*u^7 + 2*a*b*u^7 + b^2*u^7", "-b^2 + u - a*b*u + b^2*u - u^3 - a^2*u^3 + 3*a*b*u^3 + 3*b^2*u^3 + 3*a^2*u^5 + 4*a*b*u^5 + b^2*u^5 - a^2*u^7 - 2*a*b*u^7 - b^2*u^7", "1 - a - u^2 - 2*a^2*b*u^2 - a*b^2*u^2 - a^3*b^2*u^2 + a^2*b^3*u^2 + 3*a*b^4*u^2 + a^3*b^4*u^2 + b^5*u^2 + 2*a^2*b^5*u^2 + a*b^6*u^2", "-b - 2*u^2 - a*u^2 + b^3*u^2 - a^2*b^3*u^2 + b^5*u^2 + a^2*b^5*u^2 + 2*a*b^6*u^2 + b^7*u^2 + u^4" ], "TimingForPrimaryIdeals":0.136707 }, "v":{ "CheckEq":[ "-b^2 + b^2*v", "1 - a + b*v^2 - 2*b^3*v^2 - a*b^4*v^2 + b^5*v^2 + a*b^6*v^2", "-b - b^5*v^2 + b^7*v^2", "-1 - a*b + v + a*b*v - b^2*v^3" ], "TimingForPrimaryIdeals":7.429000000000001e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_85_0", "Generators":[ "-88284553 + 34606354*b + 437622190*u - 681835695*u^2 - 1092185709*u^3 + 417323232*u^4 - 2831066454*u^5 + 14495697288*u^6 + 17941526260*u^7 - 51183165172*u^8 - 30822548476*u^9 + 68358079942*u^10 - 5402562352*u^11 - 20011820294*u^12 + 93935224304*u^13 - 75127872642*u^14 - 163828195620*u^15 + 142925764625*u^16 + 159466249920*u^17 - 136257217855*u^18 - 99497552693*u^19 + 81240876940*u^20 + 40213653114*u^21 - 31197933552*u^22 - 10126795222*u^23 + 7484252001*u^24 + 1440289362*u^25 - 1019956467*u^26 - 88287773*u^27 + 60294783*u^28", "15723776 + 17303177*a - 242640630*u + 448505153*u^2 + 687183049*u^3 - 145867366*u^4 + 1102610310*u^5 - 8231411824*u^6 - 8799854758*u^7 + 28093965991*u^8 + 15663075736*u^9 - 36358723354*u^10 + 2877656196*u^11 + 8592670545*u^12 - 48815422130*u^13 + 43638489787*u^14 + 85194995866*u^15 - 79633398482*u^16 - 82980543420*u^17 + 74733789433*u^18 + 51818008255*u^19 - 44129829680*u^20 - 20963941174*u^21 + 16830810448*u^22 + 5284636358*u^23 - 4017083463*u^24 - 752326560*u^25 + 545331347*u^26 + 46155247*u^27 - 32141431*u^28", "1 - 5*u + 13*u^2 - 27*u^4 + 34*u^5 - 162*u^6 + 40*u^7 + 752*u^8 - 468*u^9 - 1166*u^10 + 1102*u^11 + 194*u^12 - 1250*u^13 + 2106*u^14 + 458*u^15 - 3911*u^16 + 677*u^17 + 3831*u^18 - 1196*u^19 - 2371*u^20 + 918*u^21 + 946*u^22 - 410*u^23 - 235*u^24 + 109*u^25 + 33*u^26 - 16*u^27 - 2*u^28 + u^29" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.2978e-2, "TimingZeroDimVars":0.10652, "TimingmagmaVCompNormalize":0.107853, "TimingNumberOfSols":0.296111, "TimingIsRadical":4.0700000000000014e-2, "TimingArcColoring":9.3406e-2, "TimingObstruction":9.0635e-2, "TimingComplexVolumeN":2.7672714e1, "TimingaCuspShapeN":0.206065, "TiminguValues":0.679109, "TiminguPolysN":0.104366, "TiminguPolys":1.013514, "TimingaCuspShape":0.166304, "TimingRepresentationsN":0.286191, "TiminguValues_ij":0.220672, "TiminguPoly_ij":2.964242, "TiminguPolys_ij_N":0.27942 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":29, "IsRadical":true, "ArcColoring":[ [ "1 - u^2", "-2*u^2 + u^4" ], [ "(-15723776 + 242640630*u - 448505153*u^2 - 687183049*u^3 + 145867366*u^4 - 1102610310*u^5 + 8231411824*u^6 + 8799854758*u^7 - 28093965991*u^8 - 15663075736*u^9 + 36358723354*u^10 - 2877656196*u^11 - 8592670545*u^12 + 48815422130*u^13 - 43638489787*u^14 - 85194995866*u^15 + 79633398482*u^16 + 82980543420*u^17 - 74733789433*u^18 - 51818008255*u^19 + 44129829680*u^20 + 20963941174*u^21 - 16830810448*u^22 - 5284636358*u^23 + 4017083463*u^24 + 752326560*u^25 - 545331347*u^26 - 46155247*u^27 + 32141431*u^28)\/17303177", "(88284553 - 437622190*u + 681835695*u^2 + 1092185709*u^3 - 417323232*u^4 + 2831066454*u^5 - 14495697288*u^6 - 17941526260*u^7 + 51183165172*u^8 + 30822548476*u^9 - 68358079942*u^10 + 5402562352*u^11 + 20011820294*u^12 - 93935224304*u^13 + 75127872642*u^14 + 163828195620*u^15 - 142925764625*u^16 - 159466249920*u^17 + 136257217855*u^18 + 99497552693*u^19 - 81240876940*u^20 - 40213653114*u^21 + 31197933552*u^22 + 10126795222*u^23 - 7484252001*u^24 - 1440289362*u^25 + 1019956467*u^26 + 88287773*u^27 - 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4*u^6 - 156*u^7 + 458*u^8 - 618*u^9 - 1022*u^10 + 1264*u^11 + 572*u^12 - 842*u^13 + 828*u^14 + 112*u^15 - 1483*u^16 + 183*u^17 + 875*u^18 - 226*u^19 - 119*u^20 + 202*u^21 - 124*u^22 - 124*u^23 + 77*u^24 + 47*u^25 - 19*u^26 - 10*u^27 + 2*u^28 + u^29", "2 + 2*u + 3*u^2 + 45*u^3 - 25*u^4 + 95*u^5 + 171*u^6 - 85*u^7 + 550*u^8 + 13*u^9 + 479*u^10 + 406*u^11 + 214*u^12 + 834*u^13 - 588*u^14 + 1722*u^15 - 1652*u^16 + 2259*u^17 - 1980*u^18 + 1913*u^19 - 1371*u^20 + 1038*u^21 - 656*u^22 + 418*u^23 - 208*u^24 + 99*u^25 - 40*u^26 + 17*u^27 - 5*u^28 + u^29", "1 - 9*u + 23*u^2 + 18*u^3 - 65*u^4 + 160*u^5 - 4*u^6 - 156*u^7 + 458*u^8 - 618*u^9 - 1022*u^10 + 1264*u^11 + 572*u^12 - 842*u^13 + 828*u^14 + 112*u^15 - 1483*u^16 + 183*u^17 + 875*u^18 - 226*u^19 - 119*u^20 + 202*u^21 - 124*u^22 - 124*u^23 + 77*u^24 + 47*u^25 - 19*u^26 - 10*u^27 + 2*u^28 + u^29", "1 + u + u^2 + 8*u^3 - u^4 + 10*u^5 - 26*u^6 + 8*u^7 - 104*u^8 - 80*u^9 - 304*u^10 - 224*u^11 - 444*u^12 - 262*u^13 - 470*u^14 - 170*u^15 - 309*u^16 - 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241755*u^19 + 44035*u^20 + 57998*u^21 - 8764*u^22 - 8730*u^23 + 950*u^24 + 827*u^25 - 52*u^26 - 45*u^27 + u^28 + u^29", "173 - 277*u + 871*u^2 - 762*u^3 + 1751*u^4 - 1202*u^5 + 2796*u^6 - 2414*u^7 + 4184*u^8 - 5168*u^9 + 5510*u^10 - 8932*u^11 + 5638*u^12 - 11516*u^13 + 4094*u^14 - 11280*u^15 + 1915*u^16 - 8359*u^17 + 393*u^18 - 4642*u^19 - 91*u^20 - 1846*u^21 - 82*u^22 - 492*u^23 - 13*u^24 - 73*u^25 - u^26 - 4*u^27 + u^29", "2 - 2*u + 127*u^2 - 41*u^3 - 2331*u^4 + 9079*u^5 + 13155*u^6 - 48965*u^7 + 74390*u^8 - 116899*u^9 + 125035*u^10 - 91178*u^11 + 89094*u^12 - 54250*u^13 + 25272*u^14 - 48364*u^15 - 1854*u^16 - 36359*u^17 - 3726*u^18 - 16425*u^19 - 849*u^20 - 4156*u^21 + 38*u^22 - 490*u^23 + 60*u^24 + 15*u^25 + 12*u^26 + 11*u^27 + u^28 + u^29", "71168 + 63488*u - 716160*u^2 - 1487040*u^3 + 2268320*u^4 + 3374960*u^5 - 1252184*u^6 - 4746480*u^7 - 6053564*u^8 + 6392065*u^9 + 7674210*u^10 - 6664218*u^11 - 1756606*u^12 + 4941933*u^13 - 219432*u^14 - 4740728*u^15 + 118400*u^16 + 3422002*u^17 - 315908*u^18 - 1284988*u^19 + 220044*u^20 + 226338*u^21 - 41680*u^22 - 23048*u^23 + 3532*u^24 + 1485*u^25 - 142*u^26 - 58*u^27 + 2*u^28 + u^29", "326 - 4438*u + 24487*u^2 - 74079*u^3 + 153559*u^4 - 284283*u^5 + 505351*u^6 - 775217*u^7 + 1123992*u^8 - 1677977*u^9 + 2343623*u^10 - 1967982*u^11 + 354560*u^12 + 917192*u^13 - 649884*u^14 - 311158*u^15 + 67070*u^16 + 573427*u^17 - 84712*u^18 - 361753*u^19 + 70513*u^20 + 105892*u^21 - 17938*u^22 - 16998*u^23 + 1846*u^24 + 1469*u^25 - 80*u^26 - 63*u^27 + u^28 + u^29", "1622 - 15766*u + 64097*u^2 - 164383*u^3 + 334689*u^4 - 558097*u^5 + 863493*u^6 - 1338437*u^7 + 1904118*u^8 - 2453205*u^9 + 2928843*u^10 - 2693476*u^11 + 2701408*u^12 - 2065590*u^13 + 2655384*u^14 - 2533362*u^15 + 2901360*u^16 - 2246075*u^17 + 1482170*u^18 - 834185*u^19 + 294213*u^20 - 203144*u^21 + 20242*u^22 - 40942*u^23 - 10568*u^24 - 5359*u^25 - 1066*u^26 - 181*u^27 - 5*u^28 + u^29", "29929 - 224637*u + 942339*u^2 - 2771106*u^3 + 6215093*u^4 - 10999768*u^5 + 15391536*u^6 - 15687368*u^7 + 5633254*u^8 + 23893518*u^9 - 82556322*u^10 + 173174544*u^11 - 282255120*u^12 + 378425570*u^13 - 425896636*u^14 + 405977948*u^15 - 329075399*u^16 + 226990175*u^17 - 132946153*u^18 + 65754874*u^19 - 27198813*u^20 + 9262190*u^21 - 2530204*u^22 + 529684*u^23 - 76983*u^24 + 5547*u^25 + 401*u^26 - 130*u^27 + 8*u^28 + u^29" ], "GeometricComponent":"{24, 25}", "uPolys_ij_N":[ "1 - 5*u + 13*u^2 - 27*u^4 + 34*u^5 - 162*u^6 + 40*u^7 + 752*u^8 - 468*u^9 - 1166*u^10 + 1102*u^11 + 194*u^12 - 1250*u^13 + 2106*u^14 + 458*u^15 - 3911*u^16 + 677*u^17 + 3831*u^18 - 1196*u^19 - 2371*u^20 + 918*u^21 + 946*u^22 - 410*u^23 - 235*u^24 + 109*u^25 + 33*u^26 - 16*u^27 - 2*u^28 + u^29", "-1 - u - 115*u^2 + 686*u^3 + 1579*u^4 - 20132*u^5 + 35992*u^6 + 153704*u^7 - 946830*u^8 + 2239682*u^9 - 2363414*u^10 - 1257652*u^11 + 8638028*u^12 - 14506566*u^13 + 11387352*u^14 + 2957076*u^15 - 21917253*u^16 + 35048303*u^17 - 36534135*u^18 + 28527694*u^19 - 17455231*u^20 + 8506926*u^21 - 3312012*u^22 + 1024280*u^23 - 248293*u^24 + 46131*u^25 - 6337*u^26 + 606*u^27 - 36*u^28 + u^29", "32 - 533*u^2 + 495*u^3 + 6089*u^4 - 10037*u^5 - 39533*u^6 + 9965*u^7 + 128496*u^8 + 263141*u^9 + 100931*u^10 - 853628*u^11 - 1158550*u^12 + 148288*u^13 + 509938*u^14 - 2840*u^15 - 100734*u^16 + 80603*u^17 - 145344*u^18 - 90423*u^19 + 80447*u^20 + 34978*u^21 - 17148*u^22 - 6644*u^23 + 1888*u^24 + 689*u^25 - 112*u^26 - 39*u^27 + 3*u^28 + u^29", "1583 + 2133*u + 42881*u^2 - 80950*u^3 - 442507*u^4 + 675372*u^5 + 1738544*u^6 - 2839156*u^7 - 2919978*u^8 + 5310974*u^9 + 3210154*u^10 - 5747544*u^11 - 2851964*u^12 + 3985402*u^13 + 2098124*u^14 - 1781338*u^15 - 1170407*u^16 + 460657*u^17 + 445945*u^18 - 38194*u^19 - 105581*u^20 - 11478*u^21 + 15416*u^22 + 4486*u^23 - 995*u^24 - 607*u^25 - 9*u^26 + 48*u^27 + 12*u^28 + u^29", "1 - u - 17*u^2 + 138*u^3 - 435*u^4 + 832*u^5 + 956*u^6 - 9832*u^7 + 36246*u^8 - 91670*u^9 + 182178*u^10 - 293412*u^11 + 404928*u^12 - 465638*u^13 + 454028*u^14 - 360968*u^15 + 225385*u^16 - 84341*u^17 + 3819*u^18 + 46574*u^19 - 35949*u^20 + 31210*u^21 - 12948*u^22 + 7236*u^23 - 1979*u^24 + 823*u^25 - 143*u^26 + 46*u^27 - 4*u^28 + u^29", "-1 + 2499*u - 38087*u^2 + 292238*u^3 - 1494189*u^4 + 5689784*u^5 - 17101444*u^6 + 42024160*u^7 - 86447234*u^8 + 151420974*u^9 - 228770450*u^10 + 301122100*u^11 - 348022788*u^12 + 355297610*u^13 - 321808588*u^14 + 259352384*u^15 - 186260297*u^16 + 119214471*u^17 - 67911379*u^18 + 34333642*u^19 - 15334879*u^20 + 6011494*u^21 - 2048784*u^22 + 599464*u^23 - 147577*u^24 + 29779*u^25 - 4677*u^26 + 534*u^27 - 36*u^28 + u^29", "16747 - 45999*u + 423363*u^2 - 1491726*u^3 + 4573469*u^4 - 10076850*u^5 + 19378542*u^6 - 30447700*u^7 + 42584650*u^8 - 50989820*u^9 + 55573774*u^10 - 53222936*u^11 + 47493970*u^12 - 37754832*u^13 + 28536890*u^14 - 19109490*u^15 + 12300911*u^16 - 6888677*u^17 + 3679341*u^18 - 1747098*u^19 + 740785*u^20 - 334942*u^21 + 98352*u^22 - 46662*u^23 + 5213*u^24 - 2247*u^25 + 13*u^26 - 64*u^27 + 16*u^28 + u^29", "4 - 8*u - 271*u^2 + 1871*u^3 - 4359*u^4 + 4761*u^5 + 18827*u^6 - 113511*u^7 + 288604*u^8 - 358031*u^9 - 77937*u^10 + 1417934*u^11 - 3744598*u^12 + 6512350*u^13 - 8648744*u^14 + 9271796*u^15 - 8210976*u^16 + 6133653*u^17 - 3906894*u^18 + 2148525*u^19 - 1020503*u^20 + 423738*u^21 - 151200*u^22 + 47432*u^23 - 12428*u^24 + 2889*u^25 - 522*u^26 + 87*u^27 - 9*u^28 + u^29", "1 - 9*u + 23*u^2 + 18*u^3 - 65*u^4 + 160*u^5 - 4*u^6 - 156*u^7 + 458*u^8 - 618*u^9 - 1022*u^10 + 1264*u^11 + 572*u^12 - 842*u^13 + 828*u^14 + 112*u^15 - 1483*u^16 + 183*u^17 + 875*u^18 - 226*u^19 - 119*u^20 + 202*u^21 - 124*u^22 - 124*u^23 + 77*u^24 + 47*u^25 - 19*u^26 - 10*u^27 + 2*u^28 + u^29", "1 + u + u^2 + 8*u^3 - u^4 + 10*u^5 - 26*u^6 + 8*u^7 - 104*u^8 - 80*u^9 - 304*u^10 - 224*u^11 - 444*u^12 - 262*u^13 - 470*u^14 - 170*u^15 - 309*u^16 - 61*u^17 - 119*u^18 + 154*u^19 + 85*u^20 + 98*u^21 + 20*u^22 + 58*u^23 + 33*u^24 + 21*u^25 + 3*u^26 + 4*u^27 + 2*u^28 + u^29", "-1 + 35*u - 723*u^2 + 442*u^3 + 3611*u^4 + 11564*u^5 + 10472*u^6 - 269928*u^7 + 386266*u^8 + 833690*u^9 - 3047718*u^10 + 3168580*u^11 + 333836*u^12 - 3904806*u^13 + 3370880*u^14 + 259972*u^15 - 2768365*u^16 + 2383551*u^17 - 739779*u^18 - 269654*u^19 + 353605*u^20 - 113798*u^21 - 32644*u^22 + 50324*u^23 - 26313*u^24 + 8515*u^25 - 1857*u^26 + 270*u^27 - 24*u^28 + u^29", "2 + 2*u + 3*u^2 + 45*u^3 - 25*u^4 + 95*u^5 + 171*u^6 - 85*u^7 + 550*u^8 + 13*u^9 + 479*u^10 + 406*u^11 + 214*u^12 + 834*u^13 - 588*u^14 + 1722*u^15 - 1652*u^16 + 2259*u^17 - 1980*u^18 + 1913*u^19 - 1371*u^20 + 1038*u^21 - 656*u^22 + 418*u^23 - 208*u^24 + 99*u^25 - 40*u^26 + 17*u^27 - 5*u^28 + u^29", "307 + 6343*u - 106729*u^2 + 670764*u^3 - 2520593*u^4 + 6922304*u^5 - 15323640*u^6 + 28806266*u^7 - 47113236*u^8 + 66039392*u^9 - 77739292*u^10 + 74332054*u^11 - 52490580*u^12 + 22508444*u^13 - 87150*u^14 - 6946944*u^15 + 2787045*u^16 + 2216407*u^17 - 2929485*u^18 + 1254894*u^19 + 10469*u^20 - 254760*u^21 + 96670*u^22 + 2508*u^23 - 9621*u^24 + 1441*u^25 + 301*u^26 - 76*u^27 - 2*u^28 + u^29", "3461 - 44971*u + 142301*u^2 + 403598*u^3 - 903529*u^4 - 2440872*u^5 + 1850770*u^6 + 6570764*u^7 - 2909560*u^8 - 6140228*u^9 + 9322960*u^10 + 6858624*u^11 - 13075876*u^12 - 6051804*u^13 + 10318676*u^14 + 3015288*u^15 - 5276991*u^16 - 700921*u^17 + 1786059*u^18 + 7168*u^19 - 396295*u^20 + 38382*u^21 + 55640*u^22 - 9814*u^23 - 4549*u^24 + 1113*u^25 + 181*u^26 - 58*u^27 - 2*u^28 + u^29", "-1 + 15*u - 103*u^2 + 718*u^3 - 4383*u^4 + 11046*u^5 - 2444*u^6 + 20944*u^7 - 296406*u^8 + 814012*u^9 - 954172*u^10 + 578628*u^11 - 296164*u^12 + 1550298*u^13 - 2976928*u^14 + 3128820*u^15 - 1805867*u^16 + 551239*u^17 - 257565*u^18 + 43980*u^19 + 73975*u^20 + 21852*u^21 + 24368*u^22 + 5558*u^23 + 3039*u^24 + 663*u^25 + 179*u^26 + 40*u^27 + 4*u^28 + u^29", "-1714 - 6490*u - 7215*u^2 + 40967*u^3 + 129195*u^4 - 41749*u^5 + 130867*u^6 + 577715*u^7 - 144640*u^8 + 938757*u^9 - 960433*u^10 + 1459338*u^11 - 1133544*u^12 + 1349454*u^13 - 430462*u^14 + 511268*u^15 + 147896*u^16 - 5287*u^17 + 226886*u^18 - 66557*u^19 + 95123*u^20 - 19528*u^21 + 18870*u^22 - 1726*u^23 + 1854*u^24 + 91*u^25 + 82*u^26 + 23*u^27 + u^28 + u^29", "-1198 + 8662*u - 34957*u^2 + 73775*u^3 - 60193*u^4 - 107811*u^5 + 150359*u^6 + 696801*u^7 - 2582382*u^8 + 4520317*u^9 - 7858935*u^10 + 15313562*u^11 - 20525344*u^12 + 12447340*u^13 + 4498756*u^14 - 12443318*u^15 + 6378120*u^16 + 1629183*u^17 - 2750842*u^18 + 372787*u^19 + 579059*u^20 - 150910*u^21 - 76482*u^22 + 19844*u^23 + 7332*u^24 - 1081*u^25 - 446*u^26 + 11*u^27 + 13*u^28 + u^29", "-811 + 2661*u - 10135*u^2 + 25406*u^3 - 68083*u^4 + 133830*u^5 - 235906*u^6 + 279992*u^7 - 262884*u^8 + 80744*u^9 + 44454*u^10 - 140894*u^11 - 10812*u^12 + 160830*u^13 - 81108*u^14 - 95028*u^15 + 327919*u^16 - 368039*u^17 - 37095*u^18 + 232528*u^19 - 140475*u^20 + 18688*u^21 + 55516*u^22 - 18522*u^23 - 5093*u^24 + 2117*u^25 + 139*u^26 - 84*u^27 + u^29", "1543 - 1779*u - 4575*u^2 + 54674*u^3 - 8185*u^4 - 44504*u^5 + 302234*u^6 - 662206*u^7 + 1273192*u^8 - 2205912*u^9 + 3138014*u^10 - 4042772*u^11 + 4060722*u^12 - 3859162*u^13 + 2828018*u^14 - 2041516*u^15 + 1056611*u^16 - 633995*u^17 + 199107*u^18 - 119420*u^19 + 16929*u^20 - 10708*u^21 + 1316*u^22 + 774*u^23 + 389*u^24 + 299*u^25 + 49*u^26 + 28*u^27 + 2*u^28 + u^29", "1 - 51*u + 51*u^2 + 356*u^3 - 413*u^4 - 1242*u^5 + 1654*u^6 + 2738*u^7 - 4334*u^8 - 3976*u^9 + 8030*u^10 + 3488*u^11 - 10548*u^12 - 1396*u^13 + 10132*u^14 - 604*u^15 - 7393*u^16 + 1341*u^17 + 4333*u^18 - 1254*u^19 - 1895*u^20 + 644*u^21 + 700*u^22 - 280*u^23 - 171*u^24 + 69*u^25 + 35*u^26 - 16*u^27 - 2*u^28 + u^29", "7342 - 27902*u + 87959*u^2 + 167897*u^3 - 341047*u^4 - 16591*u^5 + 1524937*u^6 - 2515025*u^7 + 874776*u^8 + 2874137*u^9 - 4006677*u^10 + 160744*u^11 + 2877366*u^12 - 1039044*u^13 - 607558*u^14 - 263618*u^15 + 125536*u^16 + 543917*u^17 - 107804*u^18 - 241755*u^19 + 44035*u^20 + 57998*u^21 - 8764*u^22 - 8730*u^23 + 950*u^24 + 827*u^25 - 52*u^26 - 45*u^27 + u^28 + u^29", "173 - 277*u + 871*u^2 - 762*u^3 + 1751*u^4 - 1202*u^5 + 2796*u^6 - 2414*u^7 + 4184*u^8 - 5168*u^9 + 5510*u^10 - 8932*u^11 + 5638*u^12 - 11516*u^13 + 4094*u^14 - 11280*u^15 + 1915*u^16 - 8359*u^17 + 393*u^18 - 4642*u^19 - 91*u^20 - 1846*u^21 - 82*u^22 - 492*u^23 - 13*u^24 - 73*u^25 - u^26 - 4*u^27 + u^29", "2 - 2*u + 127*u^2 - 41*u^3 - 2331*u^4 + 9079*u^5 + 13155*u^6 - 48965*u^7 + 74390*u^8 - 116899*u^9 + 125035*u^10 - 91178*u^11 + 89094*u^12 - 54250*u^13 + 25272*u^14 - 48364*u^15 - 1854*u^16 - 36359*u^17 - 3726*u^18 - 16425*u^19 - 849*u^20 - 4156*u^21 + 38*u^22 - 490*u^23 + 60*u^24 + 15*u^25 + 12*u^26 + 11*u^27 + u^28 + u^29", "71168 + 63488*u - 716160*u^2 - 1487040*u^3 + 2268320*u^4 + 3374960*u^5 - 1252184*u^6 - 4746480*u^7 - 6053564*u^8 + 6392065*u^9 + 7674210*u^10 - 6664218*u^11 - 1756606*u^12 + 4941933*u^13 - 219432*u^14 - 4740728*u^15 + 118400*u^16 + 3422002*u^17 - 315908*u^18 - 1284988*u^19 + 220044*u^20 + 226338*u^21 - 41680*u^22 - 23048*u^23 + 3532*u^24 + 1485*u^25 - 142*u^26 - 58*u^27 + 2*u^28 + u^29", "326 - 4438*u + 24487*u^2 - 74079*u^3 + 153559*u^4 - 284283*u^5 + 505351*u^6 - 775217*u^7 + 1123992*u^8 - 1677977*u^9 + 2343623*u^10 - 1967982*u^11 + 354560*u^12 + 917192*u^13 - 649884*u^14 - 311158*u^15 + 67070*u^16 + 573427*u^17 - 84712*u^18 - 361753*u^19 + 70513*u^20 + 105892*u^21 - 17938*u^22 - 16998*u^23 + 1846*u^24 + 1469*u^25 - 80*u^26 - 63*u^27 + u^28 + u^29", "1622 - 15766*u + 64097*u^2 - 164383*u^3 + 334689*u^4 - 558097*u^5 + 863493*u^6 - 1338437*u^7 + 1904118*u^8 - 2453205*u^9 + 2928843*u^10 - 2693476*u^11 + 2701408*u^12 - 2065590*u^13 + 2655384*u^14 - 2533362*u^15 + 2901360*u^16 - 2246075*u^17 + 1482170*u^18 - 834185*u^19 + 294213*u^20 - 203144*u^21 + 20242*u^22 - 40942*u^23 - 10568*u^24 - 5359*u^25 - 1066*u^26 - 181*u^27 - 5*u^28 + u^29", "29929 - 224637*u + 942339*u^2 - 2771106*u^3 + 6215093*u^4 - 10999768*u^5 + 15391536*u^6 - 15687368*u^7 + 5633254*u^8 + 23893518*u^9 - 82556322*u^10 + 173174544*u^11 - 282255120*u^12 + 378425570*u^13 - 425896636*u^14 + 405977948*u^15 - 329075399*u^16 + 226990175*u^17 - 132946153*u^18 + 65754874*u^19 - 27198813*u^20 + 9262190*u^21 - 2530204*u^22 + 529684*u^23 - 76983*u^24 + 5547*u^25 + 401*u^26 - 130*u^27 + 8*u^28 + u^29" ], "Multiplicity":1, "ij_list":[ [ "{1, 7}", "{5, 9}", "{6, 9}", "{6, 10}", "{7, 10}" ], [ "{1, 10}", "{5, 6}", "{6, 7}", "{9, 10}" ], [ "{1, 6}", "{5, 10}", "{7, 9}" ], [ "{1, 9}", "{5, 7}" ], [ "{1, 5}", "{4, 5}" ], [ "{8, 9}" ], [ "{8, 10}" ], [ "{2, 3}" ], [ "{1, 3}", "{1, 4}", "{2, 4}" ], [ "{4, 8}", "{5, 8}" ], [ "{1, 2}", "{3, 4}" ], [ "{2, 5}", "{3, 5}" ], [ "{4, 6}" ], [ "{2, 6}" ], [ "{3, 6}" ], [ "{3, 10}" ], [ "{2, 10}" ], [ "{4, 10}" ], [ "{3, 9}" ], [ "{2, 8}", "{2, 9}" ], [ "{4, 9}" ], [ "{3, 7}", "{3, 8}" ], [ "{1, 8}" ], [ "{2, 7}" ], [ "{4, 7}" ], [ "{6, 8}" ], [ "{7, 8}" ] ], "SortedReprnIndices":"{24, 25, 2, 1, 20, 21, 9, 10, 8, 7, 29, 28, 22, 23, 6, 5, 15, 16, 18, 17, 26, 27, 13, 14, 3, 4, 19, 12, 11}", "aCuspShapeN":[ "9.686165415980101899`5.051914800450823 + 7.3430417459513041963`4.931638916214831*I", "9.686165415980101899`5.051914800450823 - 7.3430417459513041963`4.931638916214831*I", "14.1587553369808168962`5.150485104217921 + 0.1661315351009963975`3.2199121050860215*I", "14.1587553369808168962`5.150485104217921 - 0.1661315351009963975`3.2199121050860215*I", "15.0441052434517761244`5.134490057858393 + 4.1634097377967691914`4.576572848566922*I", "15.0441052434517761244`5.134490057858393 - 4.1634097377967691914`4.576572848566922*I", "7.229424007282354511`4.980160777653062 + 7.8907873448713369709`5.0181774200848155*I", "7.229424007282354511`4.980160777653062 - 7.8907873448713369709`5.0181774200848155*I", "7.799123836671386502`5.0590626263299985 - 5.6441010102690667267`4.918611587635015*I", "7.799123836671386502`5.0590626263299985 + 5.6441010102690667267`4.918611587635015*I", 1.2998, -3.7185e1, "8.0915749068180975578`5.148052426908448 - 0.8641372447042106382`4.17660209182044*I", "8.0915749068180975578`5.148052426908448 + 0.8641372447042106382`4.17660209182044*I", "-0.5853167267282155011`4.49612792764364 - 2.5753822683663991242`5.139578693650487*I", "-0.5853167267282155011`4.49612792764364 + 2.5753822683663991242`5.139578693650487*I", 0, 0, 0, 0, 0, 0, 0, 0, 0, "4.6946257078366047244`5.137540411446218 + 1.1649040882763144171`4.532229608247765*I", "4.6946257078366047244`5.137540411446218 - 1.1649040882763144171`4.532229608247765*I", 0, 0 ], "Abelian":false }, { "IdealName":"J10_85_1", "Generators":[ "-1 + b", "1 + a", "-1 + u" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.0e-2, "TimingZeroDimVars":7.4022e-2, "TimingmagmaVCompNormalize":7.5442e-2, "TimingNumberOfSols":2.7849e-2, "TimingIsRadical":1.7820000000000008e-3, "TimingArcColoring":7.0732e-2, "TimingObstruction":4.38e-4, "TimingComplexVolumeN":0.731069, "TimingaCuspShapeN":4.802e-3, "TiminguValues":0.626637, "TiminguPolysN":8.300000000000001e-5, "TiminguPolys":0.814665, "TimingaCuspShape":0.104226, "TimingRepresentationsN":2.4107e-2, "TiminguValues_ij":0.153212, "TiminguPoly_ij":0.359422, "TiminguPolys_ij_N":7.000000000000002e-5 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{0, -1}", "{-1, 1}", "{-1, 1}", "{-1, 2}", "{-1, 1}", "{0, 1}", "{1, 0}", "{0, 1}", "{1, 0}", "{1, -1}" ], "Obstruction":1, "ComplexVolumeN":[ 3.28987 ], "uPolysN":[ "1 + u", "u", "-1 + u", "1 + u", "1 + u", "1 + u", "-1 + u", "-1 + u", "-1 + u", "-1 + u" ], "uPolys":[ "1 + u", "u", "-1 + u", "1 + u", "1 + u", "1 + u", "-1 + u", "-1 + u", "-1 + u", "-1 + u" ], "aCuspShape":12, "RepresentationsN":[ [ "u->1.", "a->-1.", "b->1." ] ], "Epsilon":"Infinity", "uPolys_ij":[ "2 + u", "1 + u", "u", "-1 + u" ], "GeometricComponent":0, "uPolys_ij_N":[ "2 + u", "1 + u", "u", "-1 + u" ], "Multiplicity":1, "ij_list":[ [ "{4, 7}", "{4, 9}" ], [ "{1, 2}", "{1, 3}", "{1, 4}", "{1, 5}", "{2, 4}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{3, 4}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{4, 6}", "{4, 8}", "{4, 10}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{6, 7}", "{6, 9}", "{6, 10}", "{7, 10}", "{8, 9}", "{8, 10}", "{9, 10}" ], [ "{1, 6}", "{1, 8}", "{2, 3}", "{2, 5}", "{2, 10}", "{3, 5}", "{3, 10}", "{5, 10}", "{6, 8}", "{7, 9}" ], [ "{1, 7}", "{1, 9}", "{1, 10}", "{4, 5}", "{7, 8}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":[ 1.2e1 ], "Abelian":false }, { "IdealName":"abJ10_85_2", "Generators":[ "b", "-1 + a", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":6.711500000000001e-2, "TimingZeroDimVars":7.3908e-2, "TimingmagmaVCompNormalize":7.5302e-2, "TimingNumberOfSols":2.912e-2, "TimingIsRadical":1.845e-3, "TimingArcColoring":6.9979e-2, "TimingObstruction":3.92e-4, "TimingComplexVolumeN":0.589735, "TimingaCuspShapeN":4.697e-3, "TiminguValues":0.630607, "TiminguPolysN":7.000000000000002e-5, "TiminguPolys":0.803374, "TimingaCuspShape":9.8828e-2, "TimingRepresentationsN":2.3965999999999998e-2, "TiminguValues_ij":0.150467, "TiminguPoly_ij":0.151191, "TiminguPolys_ij_N":3.000000000000001e-5 }, "ZeroDimensionalVars":[ "b", "a", "v" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":"{0}", "uPolysN":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "uPolys":[ "u", "u", "u", "u", "u", "u", "u", "u", "u", "u" ], "aCuspShape":0, "RepresentationsN":[ [ "v->1.", "a->1.", "b->0" ] ], "Epsilon":"Infinity", "uPolys_ij":[ "u" ], "GeometricComponent":0, "uPolys_ij_N":[ "u" ], "Multiplicity":1, "ij_list":[ [ "{1, 2}", "{1, 3}", "{1, 4}", "{1, 5}", "{1, 6}", "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{7, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}", "{9, 10}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "(1 + u)*(1 - 9*u + 23*u^2 + 18*u^3 - 65*u^4 + 160*u^5 - 4*u^6 - 156*u^7 + 458*u^8 - 618*u^9 - 1022*u^10 + 1264*u^11 + 572*u^12 - 842*u^13 + 828*u^14 + 112*u^15 - 1483*u^16 + 183*u^17 + 875*u^18 - 226*u^19 - 119*u^20 + 202*u^21 - 124*u^22 - 124*u^23 + 77*u^24 + 47*u^25 - 19*u^26 - 10*u^27 + 2*u^28 + u^29)", "u*(2 + 2*u + 3*u^2 + 45*u^3 - 25*u^4 + 95*u^5 + 171*u^6 - 85*u^7 + 550*u^8 + 13*u^9 + 479*u^10 + 406*u^11 + 214*u^12 + 834*u^13 - 588*u^14 + 1722*u^15 - 1652*u^16 + 2259*u^17 - 1980*u^18 + 1913*u^19 - 1371*u^20 + 1038*u^21 - 656*u^22 + 418*u^23 - 208*u^24 + 99*u^25 - 40*u^26 + 17*u^27 - 5*u^28 + u^29)", "(-1 + u)*(1 - 9*u + 23*u^2 + 18*u^3 - 65*u^4 + 160*u^5 - 4*u^6 - 156*u^7 + 458*u^8 - 618*u^9 - 1022*u^10 + 1264*u^11 + 572*u^12 - 842*u^13 + 828*u^14 + 112*u^15 - 1483*u^16 + 183*u^17 + 875*u^18 - 226*u^19 - 119*u^20 + 202*u^21 - 124*u^22 - 124*u^23 + 77*u^24 + 47*u^25 - 19*u^26 - 10*u^27 + 2*u^28 + u^29)", "(1 + u)*(1 + u + u^2 + 8*u^3 - u^4 + 10*u^5 - 26*u^6 + 8*u^7 - 104*u^8 - 80*u^9 - 304*u^10 - 224*u^11 - 444*u^12 - 262*u^13 - 470*u^14 - 170*u^15 - 309*u^16 - 61*u^17 - 119*u^18 + 154*u^19 + 85*u^20 + 98*u^21 + 20*u^22 + 58*u^23 + 33*u^24 + 21*u^25 + 3*u^26 + 4*u^27 + 2*u^28 + u^29)", "(1 + u)*(1 - 5*u + 13*u^2 - 27*u^4 + 34*u^5 - 162*u^6 + 40*u^7 + 752*u^8 - 468*u^9 - 1166*u^10 + 1102*u^11 + 194*u^12 - 1250*u^13 + 2106*u^14 + 458*u^15 - 3911*u^16 + 677*u^17 + 3831*u^18 - 1196*u^19 - 2371*u^20 + 918*u^21 + 946*u^22 - 410*u^23 - 235*u^24 + 109*u^25 + 33*u^26 - 16*u^27 - 2*u^28 + u^29)", "(1 + u)*(1 - 5*u + 13*u^2 - 27*u^4 + 34*u^5 - 162*u^6 + 40*u^7 + 752*u^8 - 468*u^9 - 1166*u^10 + 1102*u^11 + 194*u^12 - 1250*u^13 + 2106*u^14 + 458*u^15 - 3911*u^16 + 677*u^17 + 3831*u^18 - 1196*u^19 - 2371*u^20 + 918*u^21 + 946*u^22 - 410*u^23 - 235*u^24 + 109*u^25 + 33*u^26 - 16*u^27 - 2*u^28 + u^29)", "(-1 + u)*(173 - 277*u + 871*u^2 - 762*u^3 + 1751*u^4 - 1202*u^5 + 2796*u^6 - 2414*u^7 + 4184*u^8 - 5168*u^9 + 5510*u^10 - 8932*u^11 + 5638*u^12 - 11516*u^13 + 4094*u^14 - 11280*u^15 + 1915*u^16 - 8359*u^17 + 393*u^18 - 4642*u^19 - 91*u^20 - 1846*u^21 - 82*u^22 - 492*u^23 - 13*u^24 - 73*u^25 - u^26 - 4*u^27 + u^29)", "(-1 + u)*(1 - 51*u + 51*u^2 + 356*u^3 - 413*u^4 - 1242*u^5 + 1654*u^6 + 2738*u^7 - 4334*u^8 - 3976*u^9 + 8030*u^10 + 3488*u^11 - 10548*u^12 - 1396*u^13 + 10132*u^14 - 604*u^15 - 7393*u^16 + 1341*u^17 + 4333*u^18 - 1254*u^19 - 1895*u^20 + 644*u^21 + 700*u^22 - 280*u^23 - 171*u^24 + 69*u^25 + 35*u^26 - 16*u^27 - 2*u^28 + u^29)", "(-1 + u)*(1 - 5*u + 13*u^2 - 27*u^4 + 34*u^5 - 162*u^6 + 40*u^7 + 752*u^8 - 468*u^9 - 1166*u^10 + 1102*u^11 + 194*u^12 - 1250*u^13 + 2106*u^14 + 458*u^15 - 3911*u^16 + 677*u^17 + 3831*u^18 - 1196*u^19 - 2371*u^20 + 918*u^21 + 946*u^22 - 410*u^23 - 235*u^24 + 109*u^25 + 33*u^26 - 16*u^27 - 2*u^28 + u^29)", "(-1 + u)*(1 - 5*u + 13*u^2 - 27*u^4 + 34*u^5 - 162*u^6 + 40*u^7 + 752*u^8 - 468*u^9 - 1166*u^10 + 1102*u^11 + 194*u^12 - 1250*u^13 + 2106*u^14 + 458*u^15 - 3911*u^16 + 677*u^17 + 3831*u^18 - 1196*u^19 - 2371*u^20 + 918*u^21 + 946*u^22 - 410*u^23 - 235*u^24 + 109*u^25 + 33*u^26 - 16*u^27 - 2*u^28 + u^29)" ], "RileyPolyC":[ "(-1 + y)*(-1 + 35*y - 723*y^2 + 442*y^3 + 3611*y^4 + 11564*y^5 + 10472*y^6 - 269928*y^7 + 386266*y^8 + 833690*y^9 - 3047718*y^10 + 3168580*y^11 + 333836*y^12 - 3904806*y^13 + 3370880*y^14 + 259972*y^15 - 2768365*y^16 + 2383551*y^17 - 739779*y^18 - 269654*y^19 + 353605*y^20 - 113798*y^21 - 32644*y^22 + 50324*y^23 - 26313*y^24 + 8515*y^25 - 1857*y^26 + 270*y^27 - 24*y^28 + y^29)", "y*(-4 - 8*y + 271*y^2 + 1871*y^3 + 4359*y^4 + 4761*y^5 - 18827*y^6 - 113511*y^7 - 288604*y^8 - 358031*y^9 + 77937*y^10 + 1417934*y^11 + 3744598*y^12 + 6512350*y^13 + 8648744*y^14 + 9271796*y^15 + 8210976*y^16 + 6133653*y^17 + 3906894*y^18 + 2148525*y^19 + 1020503*y^20 + 423738*y^21 + 151200*y^22 + 47432*y^23 + 12428*y^24 + 2889*y^25 + 522*y^26 + 87*y^27 + 9*y^28 + y^29)", "(-1 + y)*(-1 + 35*y - 723*y^2 + 442*y^3 + 3611*y^4 + 11564*y^5 + 10472*y^6 - 269928*y^7 + 386266*y^8 + 833690*y^9 - 3047718*y^10 + 3168580*y^11 + 333836*y^12 - 3904806*y^13 + 3370880*y^14 + 259972*y^15 - 2768365*y^16 + 2383551*y^17 - 739779*y^18 - 269654*y^19 + 353605*y^20 - 113798*y^21 - 32644*y^22 + 50324*y^23 - 26313*y^24 + 8515*y^25 - 1857*y^26 + 270*y^27 - 24*y^28 + y^29)", "(-1 + y)*(-1 - y + 17*y^2 + 138*y^3 + 435*y^4 + 832*y^5 - 956*y^6 - 9832*y^7 - 36246*y^8 - 91670*y^9 - 182178*y^10 - 293412*y^11 - 404928*y^12 - 465638*y^13 - 454028*y^14 - 360968*y^15 - 225385*y^16 - 84341*y^17 - 3819*y^18 + 46574*y^19 + 35949*y^20 + 31210*y^21 + 12948*y^22 + 7236*y^23 + 1979*y^24 + 823*y^25 + 143*y^26 + 46*y^27 + 4*y^28 + y^29)", "(-1 + y)*(-1 - y - 115*y^2 + 686*y^3 + 1579*y^4 - 20132*y^5 + 35992*y^6 + 153704*y^7 - 946830*y^8 + 2239682*y^9 - 2363414*y^10 - 1257652*y^11 + 8638028*y^12 - 14506566*y^13 + 11387352*y^14 + 2957076*y^15 - 21917253*y^16 + 35048303*y^17 - 36534135*y^18 + 28527694*y^19 - 17455231*y^20 + 8506926*y^21 - 3312012*y^22 + 1024280*y^23 - 248293*y^24 + 46131*y^25 - 6337*y^26 + 606*y^27 - 36*y^28 + y^29)", "(-1 + y)*(-1 - y - 115*y^2 + 686*y^3 + 1579*y^4 - 20132*y^5 + 35992*y^6 + 153704*y^7 - 946830*y^8 + 2239682*y^9 - 2363414*y^10 - 1257652*y^11 + 8638028*y^12 - 14506566*y^13 + 11387352*y^14 + 2957076*y^15 - 21917253*y^16 + 35048303*y^17 - 36534135*y^18 + 28527694*y^19 - 17455231*y^20 + 8506926*y^21 - 3312012*y^22 + 1024280*y^23 - 248293*y^24 + 46131*y^25 - 6337*y^26 + 606*y^27 - 36*y^28 + y^29)", "(-1 + y)*(-29929 - 224637*y - 942339*y^2 - 2771106*y^3 - 6215093*y^4 - 10999768*y^5 - 15391536*y^6 - 15687368*y^7 - 5633254*y^8 + 23893518*y^9 + 82556322*y^10 + 173174544*y^11 + 282255120*y^12 + 378425570*y^13 + 425896636*y^14 + 405977948*y^15 + 329075399*y^16 + 226990175*y^17 + 132946153*y^18 + 65754874*y^19 + 27198813*y^20 + 9262190*y^21 + 2530204*y^22 + 529684*y^23 + 76983*y^24 + 5547*y^25 - 401*y^26 - 130*y^27 - 8*y^28 + y^29)", "(-1 + y)*(-1 + 2499*y - 38087*y^2 + 292238*y^3 - 1494189*y^4 + 5689784*y^5 - 17101444*y^6 + 42024160*y^7 - 86447234*y^8 + 151420974*y^9 - 228770450*y^10 + 301122100*y^11 - 348022788*y^12 + 355297610*y^13 - 321808588*y^14 + 259352384*y^15 - 186260297*y^16 + 119214471*y^17 - 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