{ "Index":154, "Name":"10_70", "RolfsenName":"10_70", "DTname":"10a_22", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{-15, -11, -13, 19, -7, -5, 17, -1, 9, 3}", "Acode":"{-8, -6, -7, 10, -4, -3, 9, -1, 5, 2}", "PDcode":[ "{2, 15, 3, 16}", "{4, 11, 5, 12}", "{6, 13, 7, 14}", "{8, 20, 9, 19}", "{10, 7, 11, 8}", "{12, 5, 13, 6}", "{14, 18, 15, 17}", "{16, 1, 17, 2}", "{18, 10, 19, 9}", "{20, 4, 1, 3}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{2, 6, 8}", [], [ "{2, -6, 3, 1}", "{6, -3, 7, 1}", "{3, -7, 4, 1}", "{2, -8, 1, 2}", "{8, -1, 9, 1}", "{6, -4, 5, 2}", "{1, 2, 10, 2}" ], "{4, 7}", "{9}", 9 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 + b^2 + a*b^3 + b^4 + u + u^2 + 4*a*b*u^2 + 3*b^2*u^2 + 2*a^2*b^2*u^2 + 3*a*b^3*u^2 + b^4*u^2 - 2*u^3 - u^4 - 2*a*b*u^4 - 2*b^2*u^4 - a^2*b^2*u^4 - 2*a*b^3*u^4 - b^4*u^4 + u^5", "b^4 - u - 2*u^2 + 2*b^2*u^2 + 2*a*b^3*u^2 + b^4*u^2 - 2*u^3 + u^4 - b^2*u^4 - a*b^3*u^4 - b^4*u^4 + 3*u^5 - u^7", "-a + u - a^2*u - a*b*u - 2*a^2*b^2*u + b^4*u - a^2*b^4*u + a*b^5*u + a^2*u^3 + 2*a*b*u^3 + b^2*u^3 + 2*a^2*b^2*u^3 + 2*a*b^3*u^3 + a^2*b^4*u^3", "-b + u - a*b*u - 2*a*b^3*u + b^4*u - a*b^5*u + b^6*u - u^3 + a*b*u^3 + b^2*u^3 + 2*a*b^3*u^3 + b^4*u^3 + a*b^5*u^3" ], "TimingForPrimaryIdeals":0.12493 }, "v":{ "CheckEq":[ "b^4", "1 + b^2 + a*b^3 + b^4 - v", "-a + v + a*b*v + b^2*v + 2*a*b^3*v + b^4*v + a*b^5*v", "-b + b^2*v + 2*b^4*v + b^6*v" ], "TimingForPrimaryIdeals":9.581899999999999e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_70_0", "Generators":[ "1 + 2*b - 2*u + u^2 + 8*u^3 + 52*u^4 + 128*u^5 + 180*u^6 + 120*u^7 - 190*u^8 - 640*u^9 - 812*u^10 - 276*u^11 + 1026*u^12 + 2008*u^13 + 1130*u^14 - 1374*u^15 - 3093*u^16 - 1578*u^17 + 2081*u^18 + 3332*u^19 + 550*u^20 - 2436*u^21 - 2012*u^22 + 690*u^23 + 1763*u^24 + 214*u^25 - 925*u^26 - 274*u^27 + 331*u^28 + 112*u^29 - 82*u^30 - 23*u^31 + 13*u^32 + 2*u^33 - u^34", "1 + a + 2*u + 5*u^2 + 2*u^3 - 6*u^4 - 10*u^5 - 4*u^6 + 8*u^7 + 9*u^8 - 2*u^9 - 5*u^10 + u^12", "1 + u + 9*u^2 + 17*u^3 + 52*u^4 + 60*u^5 + 24*u^6 - 72*u^7 - 294*u^8 - 414*u^9 - 166*u^10 + 506*u^11 + 1294*u^12 + 994*u^13 - 876*u^14 - 2506*u^15 - 1719*u^16 + 1515*u^17 + 3659*u^18 + 1251*u^19 - 2782*u^20 - 2986*u^21 + 424*u^22 + 2702*u^23 + 1073*u^24 - 1549*u^25 - 1139*u^26 + 651*u^27 + 605*u^28 - 219*u^29 - 194*u^30 + 59*u^31 + 36*u^32 - 11*u^33 - 3*u^34 + u^35" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.2644e-2, "TimingZeroDimVars":9.7082e-2, "TimingmagmaVCompNormalize":9.8429e-2, "TimingNumberOfSols":0.360069, "TimingIsRadical":3.243e-2, "TimingArcColoring":7.2558e-2, "TimingObstruction":0.136683, "TimingComplexVolumeN":3.0478632e1, "TimingaCuspShapeN":0.270855, "TiminguValues":0.68766, "TiminguPolysN":0.166612, "TiminguPolys":0.956659, "TimingaCuspShape":0.166591, "TimingRepresentationsN":0.357799, "TiminguValues_ij":0.215587, "TiminguPoly_ij":2.335508, "TiminguPolys_ij_N":0.277501 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":35, "IsRadical":true, "ArcColoring":[ [ "(3 - 2*u - 7*u^2 - 32*u^3 - 46*u^4 - 24*u^5 + 76*u^6 + 272*u^7 + 298*u^8 - 128*u^9 - 850*u^10 - 1076*u^11 + 154*u^12 + 2048*u^13 + 2056*u^14 - 638*u^15 - 3315*u^16 - 2306*u^17 + 1823*u^18 + 3668*u^19 + 804*u^20 - 2516*u^21 - 2116*u^22 + 698*u^23 + 1785*u^24 + 214*u^25 - 927*u^26 - 274*u^27 + 331*u^28 + 112*u^29 - 82*u^30 - 23*u^31 + 13*u^32 + 2*u^33 - u^34)\/2", "(3 + 4*u + 35*u^2 + 96*u^3 + 286*u^4 + 488*u^5 + 496*u^6 + 40*u^7 - 1282*u^8 - 2792*u^9 - 2706*u^10 + 480*u^11 + 6006*u^12 + 8260*u^13 + 1712*u^14 - 9510*u^15 - 13291*u^16 - 2356*u^17 + 13113*u^18 + 13488*u^19 - 2096*u^20 - 12972*u^21 - 6756*u^22 + 5798*u^23 + 7673*u^24 - 632*u^25 - 4493*u^26 - 666*u^27 + 1699*u^28 + 378*u^29 - 428*u^30 - 87*u^31 + 67*u^32 + 8*u^33 - 5*u^34)\/2" ], "{1, 0}", [ 1, "-u^2" ], [ "1 - u^2", "-2*u^2 + u^4" ], [ "-u + 2*u^3 - u^5", "u + 2*u^3 - 3*u^5 + u^7" ], [ 0, "u" ], [ "u", "u - u^3" ], [ "-1 - 2*u - 5*u^2 - 2*u^3 + 6*u^4 + 10*u^5 + 4*u^6 - 8*u^7 - 9*u^8 + 2*u^9 + 5*u^10 - u^12", "(-1 + 2*u - u^2 - 8*u^3 - 52*u^4 - 128*u^5 - 180*u^6 - 120*u^7 + 190*u^8 + 640*u^9 + 812*u^10 + 276*u^11 - 1026*u^12 - 2008*u^13 - 1130*u^14 + 1374*u^15 + 3093*u^16 + 1578*u^17 - 2081*u^18 - 3332*u^19 - 550*u^20 + 2436*u^21 + 2012*u^22 - 690*u^23 - 1763*u^24 - 214*u^25 + 925*u^26 + 274*u^27 - 331*u^28 - 112*u^29 + 82*u^30 + 23*u^31 - 13*u^32 - 2*u^33 + u^34)\/2" ], [ "1 + 6*u + 26*u^2 + 70*u^3 + 164*u^4 + 219*u^5 + 128*u^6 - 198*u^7 - 786*u^8 - 1162*u^9 - 666*u^10 + 890*u^11 + 2748*u^12 + 2744*u^13 - 410*u^14 - 4292*u^15 - 4629*u^16 + 168*u^17 + 5544*u^18 + 4662*u^19 - 1564*u^20 - 5105*u^21 - 2200*u^22 + 2520*u^23 + 2893*u^24 - 420*u^25 - 1772*u^26 - 196*u^27 + 683*u^28 + 133*u^29 - 173*u^30 - 32*u^31 + 27*u^32 + 3*u^33 - 2*u^34", "(-5 - 6*u - 53*u^2 - 140*u^3 - 412*u^4 - 694*u^5 - 712*u^6 - 98*u^7 + 1774*u^8 + 3940*u^9 + 3930*u^10 - 392*u^11 - 8238*u^12 - 11772*u^13 - 3044*u^14 + 12602*u^15 + 18801*u^16 + 4570*u^17 - 17403*u^18 - 19404*u^19 + 1486*u^20 + 17538*u^21 + 10436*u^22 - 7112*u^23 - 11075*u^24 + 198*u^25 + 6319*u^26 + 1214*u^27 - 2359*u^28 - 602*u^29 + 592*u^30 + 133*u^31 - 93*u^32 - 12*u^33 + 7*u^34)\/2" ], [ "3 + u + 14*u^2 + 32*u^3 + 120*u^4 + 232*u^5 + 286*u^6 + 156*u^7 - 492*u^8 - 1460*u^9 - 1778*u^10 - 298*u^11 + 3080*u^12 + 5154*u^13 + 1884*u^14 - 5074*u^15 - 8303*u^16 - 2331*u^17 + 7468*u^18 + 8578*u^19 - 646*u^20 - 7744*u^21 - 4436*u^22 + 3248*u^23 + 4729*u^24 - 209*u^25 - 2710*u^26 - 470*u^27 + 1015*u^28 + 245*u^29 - 255*u^30 - 55*u^31 + 40*u^32 + 5*u^33 - 3*u^34", "(3 + 4*u + 35*u^2 + 96*u^3 + 286*u^4 + 488*u^5 + 496*u^6 + 40*u^7 - 1282*u^8 - 2792*u^9 - 2706*u^10 + 480*u^11 + 6006*u^12 + 8260*u^13 + 1712*u^14 - 9510*u^15 - 13291*u^16 - 2356*u^17 + 13113*u^18 + 13488*u^19 - 2096*u^20 - 12972*u^21 - 6756*u^22 + 5798*u^23 + 7673*u^24 - 632*u^25 - 4493*u^26 - 666*u^27 + 1699*u^28 + 378*u^29 - 428*u^30 - 87*u^31 + 67*u^32 + 8*u^33 - 5*u^34)\/2" ] ], "Obstruction":-1, "ComplexVolumeN":[ "3.61521 - 1.86508*I", "3.61521 + 1.86508*I", "3.09693 + 3.49535*I", "3.09693 - 3.49535*I", "0.97304 - 8.24742*I", "0.97304 + 8.24742*I", 2.21114, "1.97084 - 2.68874*I", "1.97084 + 2.68874*I", "-0.612022 - 1.16771*I", "-0.612022 + 1.16771*I", "-3.83291 - 2.53588*I", "-3.83291 + 2.53588*I", "2.76473 - 0.81126*I", "2.76473 + 0.81126*I", "4.76978 - 0.62379*I", "4.76978 + 0.62379*I", "0.65547 + 6.20108*I", "0.65547 - 6.20108*I", "4.00753 - 6.15318*I", "4.00753 + 6.15318*I", "5.16768 + 3.59908*I", "5.16768 - 3.59908*I", "-0.69789 + 3.19845*I", "-0.69789 - 3.19845*I", "7.44255 + 6.65019*I", "7.44255 - 6.65019*I", "6.28512 + 12.5109*I", "6.28512 - 12.5109*I", "11.4667 + 3.0112*I", "11.4667 - 3.0112*I", "0.236326 - 1.15463*I", "0.236326 + 1.15463*I", "0.11091 - 1.46996*I", "0.11091 + 1.46996*I" ], "uPolysN":[ "1 - 2*u^2 + 9*u^3 - 8*u^4 + 32*u^5 - 24*u^6 + 76*u^7 - 58*u^8 + 136*u^9 - 104*u^10 + 202*u^11 - 146*u^12 + 284*u^13 - 138*u^14 + 384*u^15 - 55*u^16 + 496*u^17 + 82*u^18 + 579*u^19 + 218*u^20 + 588*u^21 + 286*u^22 + 508*u^23 + 269*u^24 + 364*u^25 + 192*u^26 + 213*u^27 + 105*u^28 + 98*u^29 + 43*u^30 + 34*u^31 + 12*u^32 + 8*u^33 + 2*u^34 + u^35", "-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35", "-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35", "-4 - 8*u - 17*u^2 - 9*u^3 - 10*u^4 + 28*u^5 + 16*u^6 + 108*u^7 + 52*u^8 + 242*u^9 + 102*u^10 + 428*u^11 + 168*u^12 + 608*u^13 + 202*u^14 + 694*u^15 + 178*u^16 + 644*u^17 + 109*u^18 + 509*u^19 + 62*u^20 + 384*u^21 + 62*u^22 + 306*u^23 + 84*u^24 + 244*u^25 + 83*u^26 + 167*u^27 + 56*u^28 + 88*u^29 + 25*u^30 + 33*u^31 + 7*u^32 + 8*u^33 + u^34 + u^35", "16 - 72*u + 225*u^2 - 579*u^3 + 1372*u^4 - 2128*u^5 - 440*u^6 + 15488*u^7 - 59876*u^8 + 157244*u^9 - 331030*u^10 + 591926*u^11 - 924732*u^12 + 1284716*u^13 - 1608210*u^14 + 1835090*u^15 - 1931002*u^16 + 1896984*u^17 - 1760461*u^18 + 1556567*u^19 - 1314396*u^20 + 1056272*u^21 - 803154*u^22 + 575786*u^23 - 389354*u^24 + 248740*u^25 - 149645*u^26 + 83703*u^27 - 42574*u^28 + 19152*u^29 - 7393*u^30 + 2369*u^31 - 605*u^32 + 116*u^33 - 15*u^34 + u^35", "-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35", "-1 + 4*u + 12*u^2 + 97*u^3 + 532*u^4 + 1984*u^5 + 5684*u^6 + 13360*u^7 + 27578*u^8 + 52624*u^9 + 96252*u^10 + 171182*u^11 + 293846*u^12 + 478996*u^13 + 730254*u^14 + 1030984*u^15 + 1341251*u^16 + 1604868*u^17 + 1765824*u^18 + 1787291*u^19 + 1664742*u^20 + 1426980*u^21 + 1125066*u^22 + 814884*u^23 + 541091*u^24 + 328376*u^25 + 181362*u^26 + 90633*u^27 + 40667*u^28 + 16214*u^29 + 5663*u^30 + 1698*u^31 + 424*u^32 + 84*u^33 + 12*u^34 + u^35", "1 - 2*u^2 + 9*u^3 - 8*u^4 + 32*u^5 - 24*u^6 + 76*u^7 - 58*u^8 + 136*u^9 - 104*u^10 + 202*u^11 - 146*u^12 + 284*u^13 - 138*u^14 + 384*u^15 - 55*u^16 + 496*u^17 + 82*u^18 + 579*u^19 + 218*u^20 + 588*u^21 + 286*u^22 + 508*u^23 + 269*u^24 + 364*u^25 + 192*u^26 + 213*u^27 + 105*u^28 + 98*u^29 + 43*u^30 + 34*u^31 + 12*u^32 + 8*u^33 + 2*u^34 + u^35", "-4 - 8*u - 17*u^2 - 9*u^3 - 10*u^4 + 28*u^5 + 16*u^6 + 108*u^7 + 52*u^8 + 242*u^9 + 102*u^10 + 428*u^11 + 168*u^12 + 608*u^13 + 202*u^14 + 694*u^15 + 178*u^16 + 644*u^17 + 109*u^18 + 509*u^19 + 62*u^20 + 384*u^21 + 62*u^22 + 306*u^23 + 84*u^24 + 244*u^25 + 83*u^26 + 167*u^27 + 56*u^28 + 88*u^29 + 25*u^30 + 33*u^31 + 7*u^32 + 8*u^33 + u^34 + u^35", "-1 + 4*u + 12*u^2 + 97*u^3 + 532*u^4 + 1984*u^5 + 5684*u^6 + 13360*u^7 + 27578*u^8 + 52624*u^9 + 96252*u^10 + 171182*u^11 + 293846*u^12 + 478996*u^13 + 730254*u^14 + 1030984*u^15 + 1341251*u^16 + 1604868*u^17 + 1765824*u^18 + 1787291*u^19 + 1664742*u^20 + 1426980*u^21 + 1125066*u^22 + 814884*u^23 + 541091*u^24 + 328376*u^25 + 181362*u^26 + 90633*u^27 + 40667*u^28 + 16214*u^29 + 5663*u^30 + 1698*u^31 + 424*u^32 + 84*u^33 + 12*u^34 + u^35" ], "uPolys":[ "1 - 2*u^2 + 9*u^3 - 8*u^4 + 32*u^5 - 24*u^6 + 76*u^7 - 58*u^8 + 136*u^9 - 104*u^10 + 202*u^11 - 146*u^12 + 284*u^13 - 138*u^14 + 384*u^15 - 55*u^16 + 496*u^17 + 82*u^18 + 579*u^19 + 218*u^20 + 588*u^21 + 286*u^22 + 508*u^23 + 269*u^24 + 364*u^25 + 192*u^26 + 213*u^27 + 105*u^28 + 98*u^29 + 43*u^30 + 34*u^31 + 12*u^32 + 8*u^33 + 2*u^34 + u^35", "-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35", "-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35", "-4 - 8*u - 17*u^2 - 9*u^3 - 10*u^4 + 28*u^5 + 16*u^6 + 108*u^7 + 52*u^8 + 242*u^9 + 102*u^10 + 428*u^11 + 168*u^12 + 608*u^13 + 202*u^14 + 694*u^15 + 178*u^16 + 644*u^17 + 109*u^18 + 509*u^19 + 62*u^20 + 384*u^21 + 62*u^22 + 306*u^23 + 84*u^24 + 244*u^25 + 83*u^26 + 167*u^27 + 56*u^28 + 88*u^29 + 25*u^30 + 33*u^31 + 7*u^32 + 8*u^33 + u^34 + u^35", "16 - 72*u + 225*u^2 - 579*u^3 + 1372*u^4 - 2128*u^5 - 440*u^6 + 15488*u^7 - 59876*u^8 + 157244*u^9 - 331030*u^10 + 591926*u^11 - 924732*u^12 + 1284716*u^13 - 1608210*u^14 + 1835090*u^15 - 1931002*u^16 + 1896984*u^17 - 1760461*u^18 + 1556567*u^19 - 1314396*u^20 + 1056272*u^21 - 803154*u^22 + 575786*u^23 - 389354*u^24 + 248740*u^25 - 149645*u^26 + 83703*u^27 - 42574*u^28 + 19152*u^29 - 7393*u^30 + 2369*u^31 - 605*u^32 + 116*u^33 - 15*u^34 + u^35", "-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35", "-1 + 4*u + 12*u^2 + 97*u^3 + 532*u^4 + 1984*u^5 + 5684*u^6 + 13360*u^7 + 27578*u^8 + 52624*u^9 + 96252*u^10 + 171182*u^11 + 293846*u^12 + 478996*u^13 + 730254*u^14 + 1030984*u^15 + 1341251*u^16 + 1604868*u^17 + 1765824*u^18 + 1787291*u^19 + 1664742*u^20 + 1426980*u^21 + 1125066*u^22 + 814884*u^23 + 541091*u^24 + 328376*u^25 + 181362*u^26 + 90633*u^27 + 40667*u^28 + 16214*u^29 + 5663*u^30 + 1698*u^31 + 424*u^32 + 84*u^33 + 12*u^34 + u^35", "1 - 2*u^2 + 9*u^3 - 8*u^4 + 32*u^5 - 24*u^6 + 76*u^7 - 58*u^8 + 136*u^9 - 104*u^10 + 202*u^11 - 146*u^12 + 284*u^13 - 138*u^14 + 384*u^15 - 55*u^16 + 496*u^17 + 82*u^18 + 579*u^19 + 218*u^20 + 588*u^21 + 286*u^22 + 508*u^23 + 269*u^24 + 364*u^25 + 192*u^26 + 213*u^27 + 105*u^28 + 98*u^29 + 43*u^30 + 34*u^31 + 12*u^32 + 8*u^33 + 2*u^34 + u^35", "-4 - 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298608*u^25 - 112126*u^26 + 267553*u^27 - 208639*u^28 + 104798*u^29 - 37967*u^30 + 10190*u^31 - 2004*u^32 + 276*u^33 - 24*u^34 + u^35", "-2801 + 4562*u - 29466*u^2 - 252631*u^3 - 757672*u^4 + 3174528*u^5 - 3892842*u^6 - 8073868*u^7 + 10233528*u^8 + 6873674*u^9 - 10305384*u^10 - 171670*u^11 + 12785936*u^12 - 633446*u^13 - 17588450*u^14 - 5577502*u^15 + 8942877*u^16 + 7447726*u^17 + 2097858*u^18 - 3783721*u^19 - 3039126*u^20 + 776180*u^21 + 1202496*u^22 + 350648*u^23 - 336805*u^24 - 176334*u^25 + 37038*u^26 + 52209*u^27 - 1583*u^28 - 7502*u^29 - 567*u^30 + 740*u^31 + 64*u^32 - 42*u^33 - 2*u^34 + u^35", "-3337 + 386*u - 1386*u^2 + 27293*u^3 - 1046*u^4 + 24854*u^5 - 31874*u^6 - 19016*u^7 - 23066*u^8 - 81598*u^9 - 56972*u^10 - 29164*u^11 - 127956*u^12 - 87124*u^13 + 185420*u^14 + 18862*u^15 + 448787*u^16 + 420210*u^17 + 332044*u^18 + 645777*u^19 + 109556*u^20 + 503074*u^21 - 6012*u^22 + 254994*u^23 - 26167*u^24 + 91106*u^25 - 13810*u^26 + 23141*u^27 - 3671*u^28 + 4076*u^29 - 575*u^30 + 470*u^31 - 50*u^32 + 32*u^33 - 2*u^34 + u^35", "-2449 - 6390*u - 29726*u^2 - 67133*u^3 - 182382*u^4 - 293122*u^5 - 670484*u^6 - 544842*u^7 - 1594720*u^8 + 277810*u^9 - 2466786*u^10 + 3983312*u^11 - 2335606*u^12 + 10580906*u^13 - 958714*u^14 + 16427262*u^15 + 592973*u^16 + 17262392*u^17 + 1195102*u^18 + 12910311*u^19 + 905998*u^20 + 6999812*u^21 + 430198*u^22 + 2745536*u^23 + 142141*u^24 + 758322*u^25 + 29614*u^26 + 137155*u^27 + 2929*u^28 + 16126*u^29 + 111*u^30 + 1202*u^31 + 52*u^33 + u^35", "-42127 - 41404*u - 34674*u^2 + 87551*u^3 + 281258*u^4 + 271976*u^5 + 561834*u^6 + 937856*u^7 + 894406*u^8 + 1329638*u^9 - 7542*u^10 + 261692*u^11 + 200376*u^12 - 42644*u^13 - 323672*u^14 + 735644*u^15 - 1463027*u^16 + 1781560*u^17 - 1095460*u^18 + 248907*u^19 + 207974*u^20 - 207076*u^21 + 114730*u^22 - 47526*u^23 + 2339*u^24 + 15880*u^25 - 10812*u^26 + 1535*u^27 + 1143*u^28 - 168*u^29 - 305*u^30 + 100*u^31 + 16*u^32 - 8*u^33 - 2*u^34 + u^35", "-404 - 488*u + 219*u^2 - 1377*u^3 - 4052*u^4 + 6068*u^5 - 17604*u^6 + 7430*u^7 - 12016*u^8 + 30262*u^9 - 52850*u^10 + 26594*u^11 - 19458*u^12 + 25218*u^13 + 8662*u^14 + 18776*u^15 - 10328*u^16 + 41050*u^17 - 17277*u^18 + 31909*u^19 - 10534*u^20 + 17054*u^21 - 1946*u^22 + 7004*u^23 - 1812*u^24 + 2508*u^25 - 155*u^26 + 771*u^27 - 44*u^28 + 10*u^29 - 9*u^30 + 51*u^31 - 3*u^32 - u^34 + u^35" ], "GeometricComponent":"{28, 29}", "uPolys_ij_N":[ "-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35", "-1 - 17*u - 151*u^2 - 575*u^3 - 652*u^4 + 3452*u^5 + 8696*u^6 - 15468*u^7 - 44718*u^8 + 90646*u^9 + 85030*u^10 - 322046*u^11 + 44614*u^12 + 668126*u^13 - 634000*u^14 - 622038*u^15 + 1350855*u^16 + 273265*u^17 - 2944093*u^18 + 3455335*u^19 - 1252658*u^20 - 483122*u^21 - 1064916*u^22 + 4929274*u^23 - 7851649*u^24 + 7912625*u^25 - 5785995*u^26 + 3236587*u^27 - 1416005*u^28 + 487447*u^29 - 131292*u^30 + 27199*u^31 - 4196*u^32 + 455*u^33 - 31*u^34 + u^35", "16 - 72*u + 225*u^2 - 579*u^3 + 1372*u^4 - 2128*u^5 - 440*u^6 + 15488*u^7 - 59876*u^8 + 157244*u^9 - 331030*u^10 + 591926*u^11 - 924732*u^12 + 1284716*u^13 - 1608210*u^14 + 1835090*u^15 - 1931002*u^16 + 1896984*u^17 - 1760461*u^18 + 1556567*u^19 - 1314396*u^20 + 1056272*u^21 - 803154*u^22 + 575786*u^23 - 389354*u^24 + 248740*u^25 - 149645*u^26 + 83703*u^27 - 42574*u^28 + 19152*u^29 - 7393*u^30 + 2369*u^31 - 605*u^32 + 116*u^33 - 15*u^34 + u^35", "-73 - 253*u - 499*u^2 + 2105*u^3 + 1124*u^4 - 4700*u^5 - 6920*u^6 + 11936*u^7 + 30202*u^8 - 52838*u^9 - 66770*u^10 + 226526*u^11 - 134266*u^12 - 188266*u^13 + 287416*u^14 + 73972*u^15 - 500913*u^16 + 509087*u^17 - 167521*u^18 - 100877*u^19 + 107750*u^20 - 3498*u^21 - 44524*u^22 + 29580*u^23 - 11329*u^24 + 9715*u^25 - 11407*u^26 + 8437*u^27 - 4013*u^28 + 1491*u^29 - 662*u^30 + 375*u^31 - 178*u^32 + 57*u^33 - 11*u^34 + u^35", "-3259 - 16393*u - 101511*u^2 - 263607*u^3 - 1006034*u^4 - 1232812*u^5 - 4102990*u^6 + 1410512*u^7 - 2928008*u^8 + 18418580*u^9 + 21457762*u^10 + 29227180*u^11 - 5096492*u^12 + 8106288*u^13 - 15606116*u^14 + 14153346*u^15 - 13636709*u^16 + 19639351*u^17 - 22152577*u^18 + 23867299*u^19 - 22396882*u^20 + 17574760*u^21 - 11894420*u^22 + 7056464*u^23 - 3651383*u^24 + 1682153*u^25 - 697527*u^26 + 257645*u^27 - 85563*u^28 + 25577*u^29 - 6616*u^30 + 1525*u^31 - 320*u^32 + 51*u^33 - 7*u^34 + u^35", "-256 - 2016*u - 11153*u^2 + 38353*u^3 + 465600*u^4 + 2694664*u^5 + 9418244*u^6 + 23445828*u^7 + 46108396*u^8 + 78169272*u^9 + 116335990*u^10 + 153901578*u^11 + 186780668*u^12 + 209793344*u^13 + 217224042*u^14 + 210129666*u^15 + 187162346*u^16 + 153792924*u^17 + 115234969*u^18 + 78548463*u^19 + 47957532*u^20 + 26248856*u^21 + 12418586*u^22 + 5108346*u^23 + 1628934*u^24 + 383740*u^25 + 1181*u^26 - 37449*u^27 - 24678*u^28 - 7064*u^29 - 1587*u^30 + 81*u^31 + 97*u^32 + 44*u^33 + 7*u^34 + u^35", "-1 + u - 9*u^2 + 9*u^3 + 6*u^4 - 142*u^5 + 90*u^6 - 568*u^7 - 1504*u^8 - 1752*u^9 + 808*u^10 - 16616*u^11 + 32002*u^12 + 28304*u^13 - 137976*u^14 + 326334*u^15 - 455913*u^16 + 30101*u^17 + 468131*u^18 + 159081*u^19 - 1085068*u^20 + 686552*u^21 + 469876*u^22 - 648248*u^23 + 9993*u^24 + 241447*u^25 - 59079*u^26 - 46267*u^27 + 18977*u^28 + 4361*u^29 - 2880*u^30 - 85*u^31 + 222*u^32 - 17*u^33 - 7*u^34 + u^35", "-37157 + 182341*u - 660465*u^2 + 1390175*u^3 - 2263088*u^4 + 2244112*u^5 - 2252192*u^6 + 1779284*u^7 - 2523576*u^8 + 1839454*u^9 - 184882*u^10 - 1582852*u^11 + 1710690*u^12 + 637556*u^13 - 2515428*u^14 + 2616318*u^15 - 1073855*u^16 + 442335*u^17 - 253297*u^18 + 195481*u^19 - 107176*u^20 + 149946*u^21 - 117184*u^22 + 62470*u^23 - 30855*u^24 + 17379*u^25 - 4739*u^26 + 2895*u^27 - 1093*u^28 + 507*u^29 - 142*u^30 + 91*u^31 - 6*u^32 + 9*u^33 - u^34 + u^35", "-481 + 9967*u - 103879*u^2 + 772889*u^3 - 4441714*u^4 + 19181124*u^5 - 60596806*u^6 + 137166226*u^7 - 212369740*u^8 + 191581116*u^9 - 12411090*u^10 - 218534038*u^11 + 275843638*u^12 - 92966208*u^13 - 116637124*u^14 + 136519194*u^15 - 20520863*u^16 - 46125749*u^17 + 19791227*u^18 + 13689037*u^19 - 10372716*u^20 - 2374984*u^21 + 3384136*u^22 + 168290*u^23 - 787609*u^24 + 14811*u^25 + 144741*u^26 - 4497*u^27 - 21425*u^28 + 221*u^29 + 2422*u^30 + 71*u^31 - 184*u^32 - 15*u^33 + 7*u^34 + u^35", "-1 - 16*u - 158*u^2 - 1373*u^3 - 7826*u^4 - 30058*u^5 - 101134*u^6 - 256904*u^7 - 758046*u^8 - 1609362*u^9 - 3702818*u^10 - 5173076*u^11 - 7341512*u^12 - 4819226*u^13 - 3169744*u^14 + 3385590*u^15 + 4019985*u^16 + 4849666*u^17 + 1844814*u^18 + 822887*u^19 - 51880*u^20 - 102120*u^21 - 76176*u^22 + 69032*u^23 + 90229*u^24 + 32682*u^25 - 11876*u^26 - 10967*u^27 - 335*u^28 + 2114*u^29 + 559*u^30 - 152*u^31 - 86*u^32 + 6*u^34 + u^35", "241 + 148*u + 796*u^2 + 2299*u^3 + 1516*u^4 + 8484*u^5 + 2972*u^6 + 21920*u^7 + 6082*u^8 + 40260*u^9 + 17522*u^10 + 59724*u^11 + 28954*u^12 + 71224*u^13 + 37518*u^14 + 66306*u^15 + 28903*u^16 + 54776*u^17 + 26472*u^18 + 36477*u^19 + 15654*u^20 + 18444*u^21 + 7932*u^22 + 8350*u^23 + 4063*u^24 + 3398*u^25 + 1170*u^26 + 699*u^27 + 339*u^28 + 274*u^29 + 89*u^30 + 30*u^31 + 10*u^32 + 10*u^33 + 4*u^34 + u^35", "1 + 4*u - 18*u^2 + 197*u^3 + 3144*u^4 + 10114*u^5 + 13400*u^6 + 24138*u^7 + 67864*u^8 + 101688*u^9 + 130684*u^10 + 204424*u^11 + 110484*u^12 + 250440*u^13 + 67690*u^14 + 237438*u^15 + 42787*u^16 + 194984*u^17 + 22554*u^18 + 137955*u^19 + 5314*u^20 + 81640*u^21 - 3678*u^22 + 39734*u^23 - 4765*u^24 + 15604*u^25 - 2664*u^26 + 4811*u^27 - 929*u^28 + 1124*u^29 - 213*u^30 + 188*u^31 - 30*u^32 + 20*u^33 - 2*u^34 + u^35", "-1228 - 9336*u - 38499*u^2 - 106815*u^3 - 213536*u^4 - 312252*u^5 - 345562*u^6 - 313336*u^7 - 194684*u^8 + 82198*u^9 + 455228*u^10 + 793410*u^11 + 943670*u^12 + 881748*u^13 + 483288*u^14 - 189060*u^15 - 502628*u^16 - 922572*u^17 - 793029*u^18 - 529355*u^19 - 178940*u^20 + 291168*u^21 - 29914*u^22 + 755676*u^23 - 269990*u^24 + 525878*u^25 - 189727*u^26 + 155439*u^27 - 44330*u^28 + 22634*u^29 - 4781*u^30 + 1725*u^31 - 247*u^32 + 66*u^33 - 5*u^34 + u^35", "-1 + 4*u + 12*u^2 + 97*u^3 + 532*u^4 + 1984*u^5 + 5684*u^6 + 13360*u^7 + 27578*u^8 + 52624*u^9 + 96252*u^10 + 171182*u^11 + 293846*u^12 + 478996*u^13 + 730254*u^14 + 1030984*u^15 + 1341251*u^16 + 1604868*u^17 + 1765824*u^18 + 1787291*u^19 + 1664742*u^20 + 1426980*u^21 + 1125066*u^22 + 814884*u^23 + 541091*u^24 + 328376*u^25 + 181362*u^26 + 90633*u^27 + 40667*u^28 + 16214*u^29 + 5663*u^30 + 1698*u^31 + 424*u^32 + 84*u^33 + 12*u^34 + u^35", "-4 - 8*u - 17*u^2 - 9*u^3 - 10*u^4 + 28*u^5 + 16*u^6 + 108*u^7 + 52*u^8 + 242*u^9 + 102*u^10 + 428*u^11 + 168*u^12 + 608*u^13 + 202*u^14 + 694*u^15 + 178*u^16 + 644*u^17 + 109*u^18 + 509*u^19 + 62*u^20 + 384*u^21 + 62*u^22 + 306*u^23 + 84*u^24 + 244*u^25 + 83*u^26 + 167*u^27 + 56*u^28 + 88*u^29 + 25*u^30 + 33*u^31 + 7*u^32 + 8*u^33 + u^34 + u^35", "1 - 2*u^2 + 9*u^3 - 8*u^4 + 32*u^5 - 24*u^6 + 76*u^7 - 58*u^8 + 136*u^9 - 104*u^10 + 202*u^11 - 146*u^12 + 284*u^13 - 138*u^14 + 384*u^15 - 55*u^16 + 496*u^17 + 82*u^18 + 579*u^19 + 218*u^20 + 588*u^21 + 286*u^22 + 508*u^23 + 269*u^24 + 364*u^25 + 192*u^26 + 213*u^27 + 105*u^28 + 98*u^29 + 43*u^30 + 34*u^31 + 12*u^32 + 8*u^33 + 2*u^34 + u^35", "1 + 40*u - 1696*u^2 + 23881*u^3 - 127492*u^4 + 431944*u^5 - 1217788*u^6 + 2832280*u^7 - 4301994*u^8 + 1809112*u^9 + 7562820*u^10 - 17494658*u^11 + 14032594*u^12 + 6622564*u^13 - 27227846*u^14 + 26864920*u^15 - 6301927*u^16 - 13616340*u^17 + 16887228*u^18 - 6841861*u^19 - 3375150*u^20 + 6313444*u^21 - 3832682*u^22 + 790724*u^23 + 444433*u^24 - 298608*u^25 - 112126*u^26 + 267553*u^27 - 208639*u^28 + 104798*u^29 - 37967*u^30 + 10190*u^31 - 2004*u^32 + 276*u^33 - 24*u^34 + u^35", "-2801 + 4562*u - 29466*u^2 - 252631*u^3 - 757672*u^4 + 3174528*u^5 - 3892842*u^6 - 8073868*u^7 + 10233528*u^8 + 6873674*u^9 - 10305384*u^10 - 171670*u^11 + 12785936*u^12 - 633446*u^13 - 17588450*u^14 - 5577502*u^15 + 8942877*u^16 + 7447726*u^17 + 2097858*u^18 - 3783721*u^19 - 3039126*u^20 + 776180*u^21 + 1202496*u^22 + 350648*u^23 - 336805*u^24 - 176334*u^25 + 37038*u^26 + 52209*u^27 - 1583*u^28 - 7502*u^29 - 567*u^30 + 740*u^31 + 64*u^32 - 42*u^33 - 2*u^34 + u^35", "-3337 + 386*u - 1386*u^2 + 27293*u^3 - 1046*u^4 + 24854*u^5 - 31874*u^6 - 19016*u^7 - 23066*u^8 - 81598*u^9 - 56972*u^10 - 29164*u^11 - 127956*u^12 - 87124*u^13 + 185420*u^14 + 18862*u^15 + 448787*u^16 + 420210*u^17 + 332044*u^18 + 645777*u^19 + 109556*u^20 + 503074*u^21 - 6012*u^22 + 254994*u^23 - 26167*u^24 + 91106*u^25 - 13810*u^26 + 23141*u^27 - 3671*u^28 + 4076*u^29 - 575*u^30 + 470*u^31 - 50*u^32 + 32*u^33 - 2*u^34 + u^35", "-2449 - 6390*u - 29726*u^2 - 67133*u^3 - 182382*u^4 - 293122*u^5 - 670484*u^6 - 544842*u^7 - 1594720*u^8 + 277810*u^9 - 2466786*u^10 + 3983312*u^11 - 2335606*u^12 + 10580906*u^13 - 958714*u^14 + 16427262*u^15 + 592973*u^16 + 17262392*u^17 + 1195102*u^18 + 12910311*u^19 + 905998*u^20 + 6999812*u^21 + 430198*u^22 + 2745536*u^23 + 142141*u^24 + 758322*u^25 + 29614*u^26 + 137155*u^27 + 2929*u^28 + 16126*u^29 + 111*u^30 + 1202*u^31 + 52*u^33 + u^35", "-42127 - 41404*u - 34674*u^2 + 87551*u^3 + 281258*u^4 + 271976*u^5 + 561834*u^6 + 937856*u^7 + 894406*u^8 + 1329638*u^9 - 7542*u^10 + 261692*u^11 + 200376*u^12 - 42644*u^13 - 323672*u^14 + 735644*u^15 - 1463027*u^16 + 1781560*u^17 - 1095460*u^18 + 248907*u^19 + 207974*u^20 - 207076*u^21 + 114730*u^22 - 47526*u^23 + 2339*u^24 + 15880*u^25 - 10812*u^26 + 1535*u^27 + 1143*u^28 - 168*u^29 - 305*u^30 + 100*u^31 + 16*u^32 - 8*u^33 - 2*u^34 + u^35", "-404 - 488*u + 219*u^2 - 1377*u^3 - 4052*u^4 + 6068*u^5 - 17604*u^6 + 7430*u^7 - 12016*u^8 + 30262*u^9 - 52850*u^10 + 26594*u^11 - 19458*u^12 + 25218*u^13 + 8662*u^14 + 18776*u^15 - 10328*u^16 + 41050*u^17 - 17277*u^18 + 31909*u^19 - 10534*u^20 + 17054*u^21 - 1946*u^22 + 7004*u^23 - 1812*u^24 + 2508*u^25 - 155*u^26 + 771*u^27 - 44*u^28 + 10*u^29 - 9*u^30 + 51*u^31 - 3*u^32 - u^34 + u^35" ], "Multiplicity":1, "ij_list":[ [ "{2, 6}", "{3, 6}", "{3, 7}", "{4, 7}" ], [ "{2, 3}", "{3, 4}", "{6, 7}" ], [ "{2, 7}", "{4, 5}", "{4, 6}", "{9, 10}" ], [ "{2, 4}", "{5, 7}" ], [ "{3, 5}" ], [ "{5, 6}" ], [ "{2, 5}", "{5, 8}" ], [ "{4, 8}" ], [ "{6, 8}" ], [ "{3, 10}" ], [ "{7, 10}" ], [ "{1, 7}", "{2, 9}", "{8, 10}" ], [ "{1, 3}", "{6, 9}" ], [ "{1, 2}", "{2, 10}", "{7, 9}", "{8, 9}" ], [ "{4, 10}", "{5, 9}", "{5, 10}" ], [ "{1, 8}", "{1, 9}", "{2, 8}" ], [ "{1, 10}", "{7, 8}" ], [ "{3, 8}" ], [ "{1, 5}" ], [ "{1, 6}", "{3, 9}" ], [ "{1, 4}" ], [ "{4, 9}", "{6, 10}" ] ], "SortedReprnIndices":"{28, 29, 6, 5, 26, 27, 18, 19, 21, 20, 22, 23, 3, 4, 24, 25, 30, 31, 9, 8, 13, 12, 2, 1, 35, 34, 11, 10, 33, 32, 15, 14, 17, 16, 7}", "aCuspShapeN":[ "8.0194904114330575499`5.127130651491145 + 2.7041409282393223446`4.655013200461232*I", "8.0194904114330575499`5.127130651491145 - 2.7041409282393223446`4.655013200461232*I", "6.3788943009438948991`5.0860530151710295 - 3.7501429342747300324`4.85535543017018*I", "6.3788943009438948991`5.0860530151710295 + 3.7501429342747300324`4.85535543017018*I", "2.5694497992333361286`4.656083244896412 + 7.5991592145591492346`5.127008651615294*I", "2.5694497992333361286`4.656083244896412 - 7.5991592145591492346`5.127008651615294*I", 4.0248, "4.5888904535404555055`5.077709424908011 + 2.8962215441848073053`4.877833514421592*I", "4.5888904535404555055`5.077709424908011 - 2.8962215441848073053`4.877833514421592*I", "-0.5946328770403006488`5.040696999489873 + 0.48242155590531491`4.949874786992261*I", "-0.5946328770403006488`5.040696999489873 - 0.48242155590531491`4.949874786992261*I", "-3.8468632710800597396`5.000767921000162 + 3.8332591688522477794`4.999229353678022*I", "-3.8468632710800597396`5.000767921000162 - 3.8332591688522477794`4.999229353678022*I", "6.0259368474612160867`5.1501176526222885 + 0``4.370093076719206*I", "6.0259368474612160867`5.1501176526222885 + 0``4.370093076719206*I", "6.8855785904530713542`5.146649560599726 + 0``4.308709121005569*I", "6.8855785904530713542`5.146649560599726 + 0``4.308709121005569*I", "1.9512411396356960006`4.647981210055631 - 5.8917688786222734661`5.127915968132062*I", "1.9512411396356960006`4.647981210055631 + 5.8917688786222734661`5.127915968132062*I", "5.2767556675633418683`5.011098989057425 + 5.006924062990273632`4.988303008549475*I", "5.2767556675633418683`5.011098989057425 - 5.006924062990273632`4.988303008549475*I", "8.9923324707999427162`5.1118745763580895 - 3.9684668430937057807`4.756624976883574*I", "8.9923324707999427162`5.1118745763580895 + 3.9684668430937057807`4.756624976883574*I", "-1.0626538582126767761`4.6633181136173025 - 3.0848897899181366389`5.126165943389034*I", "-1.0626538582126767761`4.6633181136173025 + 3.0848897899181366389`5.126165943389034*I", 0, 0, "0``4.0334834203251075 - 8.1603480968003589332`4.945192105218078*I", "0``4.0334834203251075 + 8.1603480968003589332`4.945192105218078*I", 0, 0, "3.5127539275418028253`4.880712684414747 + 5.5142554123518163585`5.076551834515032*I", "3.5127539275418028253`4.880712684414747 - 5.5142554123518163585`5.076551834515032*I", "-0.9491710628716575924`4.587106528396534 + 3.34117936814324945`5.133661829834998*I", "-0.9491710628716575924`4.587106528396534 - 3.34117936814324945`5.133661829834998*I" ], "Abelian":false }, { "IdealName":"J10_70_1", "Generators":[ "1 - b + b^2", "1 + a", "1 + u" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.1869e-2, "TimingZeroDimVars":6.7666e-2, "TimingmagmaVCompNormalize":6.9271e-2, "TimingNumberOfSols":2.735e-2, "TimingIsRadical":1.8180000000000006e-3, "TimingArcColoring":6.1426e-2, "TimingObstruction":9.289999999999999e-4, "TimingComplexVolumeN":2.195264, "TimingaCuspShapeN":9.948e-3, "TiminguValues":0.633974, "TiminguPolysN":3.22e-4, "TiminguPolys":0.793647, "TimingaCuspShape":9.1203e-2, "TimingRepresentationsN":2.8022000000000002e-2, "TiminguValues_ij":0.166349, "TiminguPolys_ij_N":3.24e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ [ "1 - b", "-1 + b" ], "{1, 0}", "{1, -1}", "{0, -1}", "{0, -1}", "{0, -1}", "{-1, 0}", [ -1, "b" ], [ 0, "-1 + b" ], [ 0, "-1 + b" ] ], "Obstruction":1, "ComplexVolumeN":[ "1.64493 + 2.02988*I", "1.64493 - 2.02988*I" ], "uPolysN":[ "1 - u + u^2", "1 + 2*u + u^2", "1 + 2*u + u^2", "u^2", "u^2", "1 - 2*u + u^2", "1 - u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2" ], "uPolys":[ "1 - u + u^2", "(1 + u)^2", "(1 + u)^2", "u^2", "u^2", "(-1 + u)^2", "1 - u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2" ], "aCuspShape":"5 - 4*b", "RepresentationsN":[ [ "u->-1.", "a->-1.", "b->0.5 + 0.866025 I" ], [ "u->-1.", "a->-1.", "b->0.5 - 0.866025 I" ] ], "Epsilon":1.73205, "uPolys_ij_N":[ "1 + 2*u + u^2", "u^2", "1 - u + u^2", "1 + u + u^2", "1 + u + u^2", "1 - u + u^2" ], "GeometricComponent":0, "Multiplicity":1, "MinRepresentationVolume":[ "{1, 2}", 2.02988 ], "ij_list":[ [ "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{4, 7}", "{4, 8}", "{5, 7}", "{5, 8}", "{6, 7}", "{6, 8}" ], [ "{1, 3}", "{2, 7}", "{4, 5}", "{4, 6}", "{4, 9}", "{4, 10}", "{5, 6}", "{5, 9}", "{5, 10}", "{6, 9}", "{6, 10}", "{9, 10}" ], [ "{1, 2}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}" ], [ "{1, 4}", "{1, 5}", "{1, 6}", "{1, 7}", "{2, 9}", "{2, 10}", "{3, 8}", "{3, 9}", "{3, 10}" ], [ "{7, 8}" ], [ "{1, 8}", "{1, 9}", "{1, 10}", "{2, 8}" ] ], "SortedReprnIndices":"{1, 2}", "aCuspShapeN":[ "2.9999999999999999999`4.9665266051846935 - 3.464101615137754587`5.028995973488844*I", "2.9999999999999999999`4.9665266051846935 + 3.464101615137754587`5.028995973488844*I" ], "Abelian":false }, { "IdealName":"abJ10_70_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":6.868e-2, "TimingZeroDimVars":7.267900000000001e-2, "TimingmagmaVCompNormalize":7.4056e-2, "TimingNumberOfSols":2.2178e-2, "TimingIsRadical":1.478e-3, "TimingArcColoring":5.4483e-2, "TimingObstruction":4.5300000000000006e-4, "TimingComplexVolumeN":0.355826, "TimingaCuspShapeN":4.721e-3, "TiminguValues":0.642151, "TiminguPolysN":6.900000000000002e-5, "TiminguPolys":0.803366, "TimingaCuspShape":0.10501, "TimingRepresentationsN":2.6742e-2, "TiminguValues_ij":0.148124, "TiminguPoly_ij":0.144805, "TiminguPolys_ij_N":2.9e-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 + u^2)*(1 - 2*u^2 + 9*u^3 - 8*u^4 + 32*u^5 - 24*u^6 + 76*u^7 - 58*u^8 + 136*u^9 - 104*u^10 + 202*u^11 - 146*u^12 + 284*u^13 - 138*u^14 + 384*u^15 - 55*u^16 + 496*u^17 + 82*u^18 + 579*u^19 + 218*u^20 + 588*u^21 + 286*u^22 + 508*u^23 + 269*u^24 + 364*u^25 + 192*u^26 + 213*u^27 + 105*u^28 + 98*u^29 + 43*u^30 + 34*u^31 + 12*u^32 + 8*u^33 + 2*u^34 + u^35)", "(1 + u)^2*(-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35)", "(1 + u)^2*(-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35)", "u^2*(-4 - 8*u - 17*u^2 - 9*u^3 - 10*u^4 + 28*u^5 + 16*u^6 + 108*u^7 + 52*u^8 + 242*u^9 + 102*u^10 + 428*u^11 + 168*u^12 + 608*u^13 + 202*u^14 + 694*u^15 + 178*u^16 + 644*u^17 + 109*u^18 + 509*u^19 + 62*u^20 + 384*u^21 + 62*u^22 + 306*u^23 + 84*u^24 + 244*u^25 + 83*u^26 + 167*u^27 + 56*u^28 + 88*u^29 + 25*u^30 + 33*u^31 + 7*u^32 + 8*u^33 + u^34 + u^35)", "u^2*(16 - 72*u + 225*u^2 - 579*u^3 + 1372*u^4 - 2128*u^5 - 440*u^6 + 15488*u^7 - 59876*u^8 + 157244*u^9 - 331030*u^10 + 591926*u^11 - 924732*u^12 + 1284716*u^13 - 1608210*u^14 + 1835090*u^15 - 1931002*u^16 + 1896984*u^17 - 1760461*u^18 + 1556567*u^19 - 1314396*u^20 + 1056272*u^21 - 803154*u^22 + 575786*u^23 - 389354*u^24 + 248740*u^25 - 149645*u^26 + 83703*u^27 - 42574*u^28 + 19152*u^29 - 7393*u^30 + 2369*u^31 - 605*u^32 + 116*u^33 - 15*u^34 + u^35)", "(-1 + u)^2*(-1 + u - 9*u^2 + 17*u^3 - 52*u^4 + 60*u^5 - 24*u^6 - 72*u^7 + 294*u^8 - 414*u^9 + 166*u^10 + 506*u^11 - 1294*u^12 + 994*u^13 + 876*u^14 - 2506*u^15 + 1719*u^16 + 1515*u^17 - 3659*u^18 + 1251*u^19 + 2782*u^20 - 2986*u^21 - 424*u^22 + 2702*u^23 - 1073*u^24 - 1549*u^25 + 1139*u^26 + 651*u^27 - 605*u^28 - 219*u^29 + 194*u^30 + 59*u^31 - 36*u^32 - 11*u^33 + 3*u^34 + u^35)", "(1 - u + u^2)*(-1 + 4*u + 12*u^2 + 97*u^3 + 532*u^4 + 1984*u^5 + 5684*u^6 + 13360*u^7 + 27578*u^8 + 52624*u^9 + 96252*u^10 + 171182*u^11 + 293846*u^12 + 478996*u^13 + 730254*u^14 + 1030984*u^15 + 1341251*u^16 + 1604868*u^17 + 1765824*u^18 + 1787291*u^19 + 1664742*u^20 + 1426980*u^21 + 1125066*u^22 + 814884*u^23 + 541091*u^24 + 328376*u^25 + 181362*u^26 + 90633*u^27 + 40667*u^28 + 16214*u^29 + 5663*u^30 + 1698*u^31 + 424*u^32 + 84*u^33 + 12*u^34 + u^35)", "(1 + u + u^2)*(1 - 2*u^2 + 9*u^3 - 8*u^4 + 32*u^5 - 24*u^6 + 76*u^7 - 58*u^8 + 136*u^9 - 104*u^10 + 202*u^11 - 146*u^12 + 284*u^13 - 138*u^14 + 384*u^15 - 55*u^16 + 496*u^17 + 82*u^18 + 579*u^19 + 218*u^20 + 588*u^21 + 286*u^22 + 508*u^23 + 269*u^24 + 364*u^25 + 192*u^26 + 213*u^27 + 105*u^28 + 98*u^29 + 43*u^30 + 34*u^31 + 12*u^32 + 8*u^33 + 2*u^34 + u^35)", "u^2*(-4 - 8*u - 17*u^2 - 9*u^3 - 10*u^4 + 28*u^5 + 16*u^6 + 108*u^7 + 52*u^8 + 242*u^9 + 102*u^10 + 428*u^11 + 168*u^12 + 608*u^13 + 202*u^14 + 694*u^15 + 178*u^16 + 644*u^17 + 109*u^18 + 509*u^19 + 62*u^20 + 384*u^21 + 62*u^22 + 306*u^23 + 84*u^24 + 244*u^25 + 83*u^26 + 167*u^27 + 56*u^28 + 88*u^29 + 25*u^30 + 33*u^31 + 7*u^32 + 8*u^33 + u^34 + u^35)", "(1 - u + u^2)*(-1 + 4*u + 12*u^2 + 97*u^3 + 532*u^4 + 1984*u^5 + 5684*u^6 + 13360*u^7 + 27578*u^8 + 52624*u^9 + 96252*u^10 + 171182*u^11 + 293846*u^12 + 478996*u^13 + 730254*u^14 + 1030984*u^15 + 1341251*u^16 + 1604868*u^17 + 1765824*u^18 + 1787291*u^19 + 1664742*u^20 + 1426980*u^21 + 1125066*u^22 + 814884*u^23 + 541091*u^24 + 328376*u^25 + 181362*u^26 + 90633*u^27 + 40667*u^28 + 16214*u^29 + 5663*u^30 + 1698*u^31 + 424*u^32 + 84*u^33 + 12*u^34 + u^35)" ], "RileyPolyC":[ "(1 + y + y^2)*(-1 + 4*y + 12*y^2 + 97*y^3 + 532*y^4 + 1984*y^5 + 5684*y^6 + 13360*y^7 + 27578*y^8 + 52624*y^9 + 96252*y^10 + 171182*y^11 + 293846*y^12 + 478996*y^13 + 730254*y^14 + 1030984*y^15 + 1341251*y^16 + 1604868*y^17 + 1765824*y^18 + 1787291*y^19 + 1664742*y^20 + 1426980*y^21 + 1125066*y^22 + 814884*y^23 + 541091*y^24 + 328376*y^25 + 181362*y^26 + 90633*y^27 + 40667*y^28 + 16214*y^29 + 5663*y^30 + 1698*y^31 + 424*y^32 + 84*y^33 + 12*y^34 + y^35)", "(-1 + y)^2*(-1 - 17*y - 151*y^2 - 575*y^3 - 652*y^4 + 3452*y^5 + 8696*y^6 - 15468*y^7 - 44718*y^8 + 90646*y^9 + 85030*y^10 - 322046*y^11 + 44614*y^12 + 668126*y^13 - 634000*y^14 - 622038*y^15 + 1350855*y^16 + 273265*y^17 - 2944093*y^18 + 3455335*y^19 - 1252658*y^20 - 483122*y^21 - 1064916*y^22 + 4929274*y^23 - 7851649*y^24 + 7912625*y^25 - 5785995*y^26 + 3236587*y^27 - 1416005*y^28 + 487447*y^29 - 131292*y^30 + 27199*y^31 - 4196*y^32 + 455*y^33 - 31*y^34 + y^35)", "(-1 + y)^2*(-1 - 17*y - 151*y^2 - 575*y^3 - 652*y^4 + 3452*y^5 + 8696*y^6 - 15468*y^7 - 44718*y^8 + 90646*y^9 + 85030*y^10 - 322046*y^11 + 44614*y^12 + 668126*y^13 - 634000*y^14 - 622038*y^15 + 1350855*y^16 + 273265*y^17 - 2944093*y^18 + 3455335*y^19 - 1252658*y^20 - 483122*y^21 - 1064916*y^22 + 4929274*y^23 - 7851649*y^24 + 7912625*y^25 - 5785995*y^26 + 3236587*y^27 - 1416005*y^28 + 487447*y^29 - 131292*y^30 + 27199*y^31 - 4196*y^32 + 455*y^33 - 31*y^34 + y^35)", "y^2*(-16 - 72*y - 225*y^2 - 579*y^3 - 1372*y^4 - 2128*y^5 + 440*y^6 + 15488*y^7 + 59876*y^8 + 157244*y^9 + 331030*y^10 + 591926*y^11 + 924732*y^12 + 1284716*y^13 + 1608210*y^14 + 1835090*y^15 + 1931002*y^16 + 1896984*y^17 + 1760461*y^18 + 1556567*y^19 + 1314396*y^20 + 1056272*y^21 + 803154*y^22 + 575786*y^23 + 389354*y^24 + 248740*y^25 + 149645*y^26 + 83703*y^27 + 42574*y^28 + 19152*y^29 + 7393*y^30 + 2369*y^31 + 605*y^32 + 116*y^33 + 15*y^34 + y^35)", "y^2*(-256 - 2016*y - 11153*y^2 + 38353*y^3 + 465600*y^4 + 2694664*y^5 + 9418244*y^6 + 23445828*y^7 + 46108396*y^8 + 78169272*y^9 + 116335990*y^10 + 153901578*y^11 + 186780668*y^12 + 209793344*y^13 + 217224042*y^14 + 210129666*y^15 + 187162346*y^16 + 153792924*y^17 + 115234969*y^18 + 78548463*y^19 + 47957532*y^20 + 26248856*y^21 + 12418586*y^22 + 5108346*y^23 + 1628934*y^24 + 383740*y^25 + 1181*y^26 - 37449*y^27 - 24678*y^28 - 7064*y^29 - 1587*y^30 + 81*y^31 + 97*y^32 + 44*y^33 + 7*y^34 + y^35)", "(-1 + y)^2*(-1 - 17*y - 151*y^2 - 575*y^3 - 652*y^4 + 3452*y^5 + 8696*y^6 - 15468*y^7 - 44718*y^8 + 90646*y^9 + 85030*y^10 - 322046*y^11 + 44614*y^12 + 668126*y^13 - 634000*y^14 - 622038*y^15 + 1350855*y^16 + 273265*y^17 - 2944093*y^18 + 3455335*y^19 - 1252658*y^20 - 483122*y^21 - 1064916*y^22 + 4929274*y^23 - 7851649*y^24 + 7912625*y^25 - 5785995*y^26 + 3236587*y^27 - 1416005*y^28 + 487447*y^29 - 131292*y^30 + 27199*y^31 - 4196*y^32 + 455*y^33 - 31*y^34 + y^35)", "(1 + y + y^2)*(-1 + 40*y + 1696*y^2 + 23881*y^3 + 127492*y^4 + 431944*y^5 + 1217788*y^6 + 2832280*y^7 + 4301994*y^8 + 1809112*y^9 - 7562820*y^10 - 17494658*y^11 - 14032594*y^12 + 6622564*y^13 + 27227846*y^14 + 26864920*y^15 + 6301927*y^16 - 13616340*y^17 - 16887228*y^18 - 6841861*y^19 + 3375150*y^20 + 6313444*y^21 + 3832682*y^22 + 790724*y^23 - 444433*y^24 - 298608*y^25 + 112126*y^26 + 267553*y^27 + 208639*y^28 + 104798*y^29 + 37967*y^30 + 10190*y^31 + 2004*y^32 + 276*y^33 + 24*y^34 + y^35)", "(1 + y + y^2)*(-1 + 4*y + 12*y^2 + 97*y^3 + 532*y^4 + 1984*y^5 + 5684*y^6 + 13360*y^7 + 27578*y^8 + 52624*y^9 + 96252*y^10 + 171182*y^11 + 293846*y^12 + 478996*y^13 + 730254*y^14 + 1030984*y^15 + 1341251*y^16 + 1604868*y^17 + 1765824*y^18 + 1787291*y^19 + 1664742*y^20 + 1426980*y^21 + 1125066*y^22 + 814884*y^23 + 541091*y^24 + 328376*y^25 + 181362*y^26 + 90633*y^27 + 40667*y^28 + 16214*y^29 + 5663*y^30 + 1698*y^31 + 424*y^32 + 84*y^33 + 12*y^34 + y^35)", "y^2*(-16 - 72*y - 225*y^2 - 579*y^3 - 1372*y^4 - 2128*y^5 + 440*y^6 + 15488*y^7 + 59876*y^8 + 157244*y^9 + 331030*y^10 + 591926*y^11 + 924732*y^12 + 1284716*y^13 + 1608210*y^14 + 1835090*y^15 + 1931002*y^16 + 1896984*y^17 + 1760461*y^18 + 1556567*y^19 + 1314396*y^20 + 1056272*y^21 + 803154*y^22 + 575786*y^23 + 389354*y^24 + 248740*y^25 + 149645*y^26 + 83703*y^27 + 42574*y^28 + 19152*y^29 + 7393*y^30 + 2369*y^31 + 605*y^32 + 116*y^33 + 15*y^34 + y^35)", "(1 + y + y^2)*(-1 + 40*y + 1696*y^2 + 23881*y^3 + 127492*y^4 + 431944*y^5 + 1217788*y^6 + 2832280*y^7 + 4301994*y^8 + 1809112*y^9 - 7562820*y^10 - 17494658*y^11 - 14032594*y^12 + 6622564*y^13 + 27227846*y^14 + 26864920*y^15 + 6301927*y^16 - 13616340*y^17 - 16887228*y^18 - 6841861*y^19 + 3375150*y^20 + 6313444*y^21 + 3832682*y^22 + 790724*y^23 - 444433*y^24 - 298608*y^25 + 112126*y^26 + 267553*y^27 + 208639*y^28 + 104798*y^29 + 37967*y^30 + 10190*y^31 + 2004*y^32 + 276*y^33 + 24*y^34 + y^35)" ] }, "GeometricRepresentation":[ 1.25109e1, [ "J10_70_0", 1, "{28, 29}" ] ] } }