{ "Index":242, "Name":"10_158", "RolfsenName":"10_158", "DTname":"10n_41", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{8, -11, 19, 16, -5, -1, 10, 2, 7, -13}", "Acode":"{4, -5, 10, 8, -3, -1, 5, 1, 4, -6}", "PDcode":[ "{3, 9, 4, 8}", "{4, 11, 5, 12}", "{6, 20, 7, 19}", "{9, 17, 10, 16}", "{12, 5, 13, 6}", "{14, 1, 15, 2}", "{15, 11, 16, 10}", "{17, 3, 18, 2}", "{18, 8, 19, 7}", "{20, 13, 1, 14}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{10, 6, 4}", [], [ "{10, -6, 1, 1}", "{6, -1, 7, 1}", "{4, 10, 3, 2}", "{6, -3, 5, 2}", "{3, -5, 2, 2}", "{10, 4, 9, 2}", "{9, 1, 8, 2}" ], "{1, 7}", "{4}", 4 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a - b + a*b + a^2*u^2 + a^3*u^2 + 3*a^2*b*u^2 + 3*a*b^2*u^2 + b^3*u^2", "-b + b^2 - u^2 - a*u^2 - b*u^2 + a*b*u^2 + a^2*b*u^2 + 2*a*b^2*u^2 + b^3*u^2", "-1 + a*b + b^2 + u - u^2 + a*b*u^2 - a^2*u^3 - a^4*u^3 - 2*a*b*u^3 - 3*a^3*b*u^3 - b^2*u^3 - 3*a^2*b^2*u^3 - a*b^3*u^3 + a^4*u^5 + 4*a^3*b*u^5 + 6*a^2*b^2*u^5 + 4*a*b^3*u^5 + b^4*u^5", "b^2 + u - b^2*u^2 + a^2*u^3 - a^3*b*u^3 - b^2*u^3 - 2*a^2*b^2*u^3 - a*b^3*u^3 + u^4 - a*b*u^4 - a^2*u^5 - 2*a*b*u^5 + a^3*b*u^5 - b^2*u^5 + 3*a^2*b^2*u^5 + 3*a*b^3*u^5 + b^4*u^5" ], "TimingForPrimaryIdeals":0.132451 }, "v":{ "CheckEq":[ "-b + b^2 + b^3*v^2", "1 - a - b + a*b + b*v^2 + a*b^2*v^2 + b^3*v^2", "b^2 + b^4*v^3", "-1 + a*b + b^2 + v + b^2*v^3 + a*b^3*v^3 + b^4*v^3" ], "TimingForPrimaryIdeals":9.465400000000003e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_158_0", "Generators":[ "-10 + 37*b + 5*u + 16*u^2 - u^3 - 48*u^4 - 101*u^5 + 92*u^6 + 116*u^7 - 54*u^8 - 54*u^9 + 20*u^10 + 17*u^11", "-27 + 37*a - 5*u - 16*u^2 + u^3 + 48*u^4 + 101*u^5 - 92*u^6 - 116*u^7 + 54*u^8 + 54*u^9 - 20*u^10 - 17*u^11", "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":6.6829e-2, "TimingZeroDimVars":8.539400000000001e-2, "TimingmagmaVCompNormalize":8.656000000000001e-2, "TimingNumberOfSols":0.130665, "TimingIsRadical":5.523e-3, "TimingArcColoring":7.7542e-2, "TimingObstruction":1.8305000000000002e-2, "TimingComplexVolumeN":9.852087, "TimingaCuspShapeN":5.9987000000000006e-2, "TiminguValues":0.654412, "TiminguPolysN":1.5867e-2, "TiminguPolys":0.848491, "TimingaCuspShape":0.108459, "TimingRepresentationsN":0.124927, "TiminguValues_ij":0.19721, "TiminguPoly_ij":1.633914, "TiminguPolys_ij_N":3.4205e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":12, "IsRadical":true, "ArcColoring":[ [ 1, "-u^2" ], [ "1 - u^2", "(7 - 22*u + 11*u^2 - 3*u^3 + 4*u^4 + 67*u^5 - 20*u^6 - 133*u^7 + 23*u^8 + 60*u^9 - 14*u^10 - 23*u^11)\/37" ], [ 1, "(10 - 5*u - 16*u^2 + u^3 + 48*u^4 + 101*u^5 - 92*u^6 - 116*u^7 + 54*u^8 + 54*u^9 - 20*u^10 - 17*u^11)\/37" ], [ "(27 + 5*u + 16*u^2 - u^3 - 48*u^4 - 101*u^5 + 92*u^6 + 116*u^7 - 54*u^8 - 54*u^9 + 20*u^10 + 17*u^11)\/37", "(10 - 5*u - 16*u^2 + u^3 + 48*u^4 + 101*u^5 - 92*u^6 - 116*u^7 + 54*u^8 + 54*u^9 - 20*u^10 - 17*u^11)\/37" ], [ "-u", "(-17 + 27*u + 5*u^2 - 35*u^3 - 52*u^4 + 54*u^5 + u^6 - 10*u^7 - 3*u^8 - 3*u^9 - 3*u^10 + 3*u^11)\/37" ], [ 0, "u" ], [ "u", "u - u^3" ], [ "(-6 + 40*u + 17*u^2 - 82*u^3 - 14*u^4 + 117*u^5 + 70*u^6 - 108*u^7 - 25*u^8 + 49*u^9 + 12*u^10 - 12*u^11)\/37", "(17 + 10*u - 5*u^2 + 35*u^3 + 15*u^4 - 165*u^5 - 38*u^6 + 232*u^7 + 3*u^8 - 108*u^9 + 3*u^10 + 34*u^11)\/37" ], [ "(1 + 18*u + 28*u^2 - 85*u^3 - 10*u^4 + 184*u^5 + 50*u^6 - 241*u^7 - 2*u^8 + 109*u^9 - 2*u^10 - 35*u^11)\/37", "(26 - 13*u - 12*u^2 + 84*u^3 - 38*u^4 - 285*u^5 + 42*u^6 + 357*u^7 - 52*u^8 - 163*u^9 + 22*u^10 + 52*u^11)\/37" ], "{1, 0}" ], "Obstruction":-1, "ComplexVolumeN":[ "7.74885 - 1.69313*I", "7.74885 + 1.69313*I", "-1.16607 + 4.31349*I", "-1.16607 - 4.31349*I", "-3.10204 + 1.08202*I", "-3.10204 - 1.08202*I", "-0.09105 + 5.46102*I", "-0.09105 - 5.46102*I", "-0.090701 + 1.09814*I", "-0.090701 - 1.09814*I", "1.63582 - 12.2712*I", "1.63582 + 12.2712*I" ], "uPolysN":[ "1 - 3*u + 8*u^2 - 20*u^3 + 7*u^4 + 41*u^5 - 25*u^6 - 29*u^7 + 20*u^8 + 9*u^9 - 7*u^10 - u^11 + u^12", "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12", "16 + 96*u + 316*u^2 + 670*u^3 + 999*u^4 + 1110*u^5 + 952*u^6 + 641*u^7 + 340*u^8 + 140*u^9 + 43*u^10 + 9*u^11 + u^12", "4 - 10*u + 15*u^2 - 24*u^3 + 52*u^4 - 93*u^5 + 123*u^6 - 120*u^7 + 89*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12", "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12", "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12", "4 - 10*u + 15*u^2 - 24*u^3 + 52*u^4 - 93*u^5 + 123*u^6 - 120*u^7 + 89*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12", "1 - 3*u + 8*u^2 - 20*u^3 + 7*u^4 + 41*u^5 - 25*u^6 - 29*u^7 + 20*u^8 + 9*u^9 - 7*u^10 - u^11 + u^12", "16 + 96*u + 316*u^2 + 670*u^3 + 999*u^4 + 1110*u^5 + 952*u^6 + 641*u^7 + 340*u^8 + 140*u^9 + 43*u^10 + 9*u^11 + u^12", "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12" ], "uPolys":[ "1 - 3*u + 8*u^2 - 20*u^3 + 7*u^4 + 41*u^5 - 25*u^6 - 29*u^7 + 20*u^8 + 9*u^9 - 7*u^10 - u^11 + u^12", "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12", "16 + 96*u + 316*u^2 + 670*u^3 + 999*u^4 + 1110*u^5 + 952*u^6 + 641*u^7 + 340*u^8 + 140*u^9 + 43*u^10 + 9*u^11 + u^12", "4 - 10*u + 15*u^2 - 24*u^3 + 52*u^4 - 93*u^5 + 123*u^6 - 120*u^7 + 89*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12", "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12", "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12", "4 - 10*u + 15*u^2 - 24*u^3 + 52*u^4 - 93*u^5 + 123*u^6 - 120*u^7 + 89*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12", "1 - 3*u + 8*u^2 - 20*u^3 + 7*u^4 + 41*u^5 - 25*u^6 - 29*u^7 + 20*u^8 + 9*u^9 - 7*u^10 - u^11 + u^12", "16 + 96*u + 316*u^2 + 670*u^3 + 999*u^4 + 1110*u^5 + 952*u^6 + 641*u^7 + 340*u^8 + 140*u^9 + 43*u^10 + 9*u^11 + u^12", "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12" ], "aCuspShape":"-2 + (49 - 117*u - 404*u^2 + 127*u^3 + 657*u^4 + 25*u^5 - 843*u^6 - 191*u^7 + 383*u^8 + 87*u^9 - 135*u^10 - 50*u^11)\/37", "RepresentationsN":[ [ "u->-0.93211 + 0.403591 I", "a->0.86095 - 1.6878 I", "b->0.13905 + 1.6878 I" ], [ "u->-0.93211 - 0.403591 I", "a->0.86095 + 1.6878 I", "b->0.13905 - 1.6878 I" ], [ "u->0.964469 + 0.359565 I", "a->-0.466137 - 0.540935 I", "b->1.46614 + 0.54093 I" ], [ "u->0.964469 - 0.359565 I", "a->-0.466137 + 0.540935 I", "b->1.46614 - 0.54093 I" ], [ "u->-0.581296 + 0.573734 I", "a->-0.118591 + 0.442092 I", "b->1.11859 - 0.442092 I" ], [ "u->-0.581296 - 0.573734 I", "a->-0.118591 - 0.442092 I", "b->1.11859 + 0.442092 I" ], [ "u->1.15782 + 0.740786 I", "a->0.319275 + 1.33245 I", "b->0.68073 - 1.33245 I" ], [ "u->1.15782 - 0.740786 I", "a->0.319275 - 1.33245 I", "b->0.68073 + 1.33245 I" ], [ "u->0.256008 + 0.492477 I", "a->0.735049 + 0.459069 I", "b->0.264951 - 0.459069 I" ], [ "u->0.256008 - 0.492477 I", "a->0.735049 - 0.459069 I", "b->0.264951 + 0.459069 I" ], [ "u->-1.36489 + 0.70235 I", "a->0.169451 - 1.34932 I", "b->0.83055 + 1.34932 I" ], [ "u->-1.36489 - 0.70235 I", "a->0.169451 + 1.34932 I", "b->0.83055 - 1.34932 I" ] ], "Epsilon":1.20915, "uPolys_ij":[ "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12", "1 + 6*u^2 - 21*u^3 + 59*u^4 - 114*u^5 + 170*u^6 - 180*u^7 + 139*u^8 - 75*u^9 + 29*u^10 - 7*u^11 + u^12", "8 - u + u^2 + 26*u^3 + 32*u^4 + 3*u^5 + 16*u^6 + 65*u^7 + 30*u^8 - 5*u^9 + 8*u^10 + u^12", "121 + 110*u + 315*u^2 + 61*u^3 + 561*u^4 + 536*u^5 + 386*u^6 + 125*u^7 - 19*u^8 - 29*u^9 - 6*u^10 + u^12", "4 - 10*u + 15*u^2 - 24*u^3 + 52*u^4 - 93*u^5 + 123*u^6 - 120*u^7 + 89*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12", "712 + 1528*u + 3484*u^2 + 3279*u^3 + 3029*u^4 + 2227*u^5 + 1373*u^6 + 652*u^7 + 263*u^8 + 84*u^9 + 26*u^10 + 6*u^11 + u^12", "1483 + 3156*u + 8579*u^2 + 3223*u^3 + 5665*u^4 + 524*u^5 + 1402*u^6 + 123*u^7 + 205*u^8 + 45*u^9 + 26*u^10 + 4*u^11 + u^12", "2 + u + 12*u^2 + 10*u^3 + 31*u^4 + 19*u^5 + 36*u^6 + 13*u^7 + 21*u^8 + u^9 + 5*u^10 + u^12", "1 + 4*u + 18*u^2 + 35*u^3 + 81*u^4 + 82*u^5 + 110*u^6 + 48*u^7 + 51*u^8 + 11*u^9 + 11*u^10 + u^11 + u^12", "23 + 74*u + 157*u^2 + 175*u^3 + 75*u^4 + 260*u^5 + 300*u^6 + 49*u^7 + 121*u^8 + 3*u^9 + 18*u^10 + u^12", "16 + 132*u + 755*u^2 + 2354*u^3 + 4496*u^4 + 5762*u^5 + 5206*u^6 + 3389*u^7 + 1591*u^8 + 528*u^9 + 118*u^10 + 16*u^11 + u^12", "16 + 96*u + 316*u^2 + 670*u^3 + 999*u^4 + 1110*u^5 + 952*u^6 + 641*u^7 + 340*u^8 + 140*u^9 + 43*u^10 + 9*u^11 + u^12", "1 - 3*u + 8*u^2 - 20*u^3 + 7*u^4 + 41*u^5 - 25*u^6 - 29*u^7 + 20*u^8 + 9*u^9 - 7*u^10 - u^11 + u^12", "1 - 7*u - 42*u^2 + 92*u^3 + 1155*u^4 + 2831*u^5 + 3527*u^6 + 2701*u^7 + 1368*u^8 + 469*u^9 + 107*u^10 + 15*u^11 + u^12", "2 - 9*u + 20*u^2 - 48*u^3 + 109*u^4 - 112*u^5 + 67*u^6 - 50*u^7 + 43*u^8 - 12*u^9 - 2*u^10 - u^11 + u^12", "16 - 20*u + 161*u^2 - 108*u^3 + 242*u^4 - 221*u^5 + 183*u^6 - 120*u^7 + 75*u^8 - 44*u^9 + 19*u^10 - 6*u^11 + u^12", "1 + 3*u + 8*u^2 + 13*u^3 + 62*u^4 + 142*u^5 + 160*u^6 + 70*u^7 - 32*u^8 - 39*u^9 - 5*u^10 + 4*u^11 + u^12", "6164 - 27639*u + 69990*u^2 - 46286*u^3 + 16577*u^4 - 9146*u^5 + 4855*u^6 - 1114*u^7 + 43*u^8 - 44*u^9 + 42*u^10 - 11*u^11 + u^12", "5333 - 7028*u + 27146*u^2 - 4245*u^3 + 11517*u^4 + 8782*u^5 + 684*u^6 + 282*u^7 + 405*u^8 + 77*u^9 + 5*u^10 + 5*u^11 + u^12", "256 - 896*u + 3184*u^2 + 188*u^3 + 73*u^4 - 432*u^5 + 484*u^6 - 165*u^7 + 10*u^8 - 6*u^9 + 9*u^10 - 5*u^11 + u^12", "43216 + 16960*u + 170412*u^2 - 119074*u^3 + 27743*u^4 - 7034*u^5 + 4400*u^6 - 1950*u^7 + 600*u^8 - 82*u^9 + 4*u^10 - 3*u^11 + u^12" ], "GeometricComponent":"{11, 12}", "uPolys_ij_N":[ "1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12", "1 + 6*u^2 - 21*u^3 + 59*u^4 - 114*u^5 + 170*u^6 - 180*u^7 + 139*u^8 - 75*u^9 + 29*u^10 - 7*u^11 + u^12", "8 - u + u^2 + 26*u^3 + 32*u^4 + 3*u^5 + 16*u^6 + 65*u^7 + 30*u^8 - 5*u^9 + 8*u^10 + u^12", "121 + 110*u + 315*u^2 + 61*u^3 + 561*u^4 + 536*u^5 + 386*u^6 + 125*u^7 - 19*u^8 - 29*u^9 - 6*u^10 + u^12", "4 - 10*u + 15*u^2 - 24*u^3 + 52*u^4 - 93*u^5 + 123*u^6 - 120*u^7 + 89*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12", "712 + 1528*u + 3484*u^2 + 3279*u^3 + 3029*u^4 + 2227*u^5 + 1373*u^6 + 652*u^7 + 263*u^8 + 84*u^9 + 26*u^10 + 6*u^11 + u^12", "1483 + 3156*u + 8579*u^2 + 3223*u^3 + 5665*u^4 + 524*u^5 + 1402*u^6 + 123*u^7 + 205*u^8 + 45*u^9 + 26*u^10 + 4*u^11 + u^12", "2 + u + 12*u^2 + 10*u^3 + 31*u^4 + 19*u^5 + 36*u^6 + 13*u^7 + 21*u^8 + u^9 + 5*u^10 + u^12", "1 + 4*u + 18*u^2 + 35*u^3 + 81*u^4 + 82*u^5 + 110*u^6 + 48*u^7 + 51*u^8 + 11*u^9 + 11*u^10 + u^11 + u^12", "23 + 74*u + 157*u^2 + 175*u^3 + 75*u^4 + 260*u^5 + 300*u^6 + 49*u^7 + 121*u^8 + 3*u^9 + 18*u^10 + u^12", "16 + 132*u + 755*u^2 + 2354*u^3 + 4496*u^4 + 5762*u^5 + 5206*u^6 + 3389*u^7 + 1591*u^8 + 528*u^9 + 118*u^10 + 16*u^11 + u^12", "16 + 96*u + 316*u^2 + 670*u^3 + 999*u^4 + 1110*u^5 + 952*u^6 + 641*u^7 + 340*u^8 + 140*u^9 + 43*u^10 + 9*u^11 + u^12", "1 - 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1950*u^7 + 600*u^8 - 82*u^9 + 4*u^10 - 3*u^11 + u^12" ], "Multiplicity":1, "MinRepresentationVolume":[ "{5, 6}", 1.08202 ], "ij_list":[ [ "{1, 6}", "{1, 7}", "{2, 5}", "{3, 5}", "{3, 6}", "{6, 10}" ], [ "{1, 10}", "{2, 3}", "{5, 6}", "{6, 7}" ], [ "{2, 6}", "{7, 10}" ], [ "{2, 7}" ], [ "{4, 8}", "{5, 7}", "{5, 8}" ], [ "{4, 7}" ], [ "{5, 9}" ], [ "{1, 5}", "{2, 8}", "{3, 7}" ], [ "{4, 6}", "{5, 10}" ], [ "{3, 8}" ], [ "{1, 3}" ], [ "{3, 10}", "{4, 9}", "{4, 10}" ], [ "{1, 4}", "{1, 8}", "{1, 9}", "{2, 4}", "{2, 10}" ], [ "{1, 2}", "{8, 9}" ], [ "{6, 8}" ], [ "{4, 5}", "{6, 9}", "{7, 8}" ], [ "{8, 10}" ], [ "{7, 9}" ], [ "{2, 9}" ], [ "{3, 4}", "{9, 10}" ], [ "{3, 9}" ] ], "SortedReprnIndices":"{12, 11, 7, 8, 3, 4, 2, 1, 9, 10, 5, 6}", "aCuspShapeN":[ "-0.9092575629460679028`4.432982809304259 + 4.6568768604510434726`5.1423906414694*I", "-0.9092575629460679028`4.432982809304259 - 4.6568768604510434726`5.1423906414694*I", "1.8882603479437190931`4.71948747881026 - 4.7314847630933619011`5.118423051298185*I", "1.8882603479437190931`4.71948747881026 + 4.7314847630933619011`5.118423051298185*I", "-2.6115667426573815214`5.099807128641523 + 1.3393952268694177277`4.8098147461855705*I", "-2.6115667426573815214`5.099807128641523 - 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u^2" ], [ -1, "u - u^2 - u^3 + u^4" ], [ "-1 - u + u^2 + u^3 - u^4", "u - u^2 - u^3 + u^4" ], [ "-u", "u + u^2 - u^3 - u^4 + u^5" ], [ 0, "u" ], [ "u", "u - u^3" ], [ "2*u - u^2 - u^3 + u^4", "-u + 2*u^2 - u^4" ], [ "1 + 2*u - 2*u^2 - u^3 + u^4", "-u + u^2" ], "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":[ "8.54916 - 1.24964*I", "8.54916 + 1.24964*I", "-2.37427 + 2.84527*I", "-2.37427 - 2.84527*I", "5.33965 + 2.32699*I", "5.33965 - 2.32699*I" ], "uPolysN":[ "1 + 2*u^2 - 2*u^3 - u^5 + u^6", "1 + u + u^2 - 2*u^3 - 2*u^4 + u^5 + u^6", "1 + u + 2*u^3 + 2*u^4 + u^6", "1 + 3*u^2 - 2*u^3 + 3*u^4 - u^5 + u^6", "1 - u + u^2 + 2*u^3 - 2*u^4 - u^5 + u^6", "1 + u + u^2 - 2*u^3 - 2*u^4 + u^5 + u^6", "1 + 3*u^2 + 2*u^3 + 3*u^4 + u^5 + u^6", "1 + 2*u^2 - 2*u^3 - u^5 + u^6", "1 - u - 2*u^3 + 2*u^4 + u^6", "1 - u + u^2 + 2*u^3 - 2*u^4 - u^5 + u^6" ], "uPolys":[ "1 + 2*u^2 - 2*u^3 - u^5 + u^6", "1 + u + u^2 - 2*u^3 - 2*u^4 + u^5 + u^6", "1 + u + 2*u^3 + 2*u^4 + u^6", "1 + 3*u^2 - 2*u^3 + 3*u^4 - u^5 + u^6", "1 - 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0.0023225090071849342`1.6155917471746601*I", "7.9594056518379015307`5.150514979343229 + 0.0023225090071849342`1.6155917471746601*I", "-1.2626897375929102201`4.707296351552078 - 3.2681602845694600774`5.120303048805831*I", "-1.2626897375929102201`4.707296351552078 + 3.2681602845694600774`5.120303048805831*I", "5.8032840857550086893`5.141400081079924 - 1.2015626676223371039`4.457472676560859*I", "5.8032840857550086893`5.141400081079924 + 1.2015626676223371039`4.457472676560859*I" ], "Abelian":false }, { "IdealName":"abJ10_158_3", "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":6.4913e-2, "TimingZeroDimVars":8.0069e-2, "TimingmagmaVCompNormalize":8.118800000000001e-2, "TimingNumberOfSols":2.9830000000000002e-2, "TimingIsRadical":1.9290000000000006e-3, "TimingArcColoring":6.5792e-2, "TimingObstruction":4.2400000000000006e-4, "TimingComplexVolumeN":0.43044, "TimingaCuspShapeN":4.409e-3, "TiminguValues":0.637954, "TiminguPolysN":7.7e-5, "TiminguPolys":0.80821, "TimingaCuspShape":8.9452e-2, "TimingRepresentationsN":2.9774e-2, "TiminguValues_ij":0.165011, "TiminguPoly_ij":0.170445, "TiminguPolys_ij_N":4.3e-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 + 2*u^2 - 2*u^3 - u^5 + u^6)*(1 - 3*u + 8*u^2 - 20*u^3 + 7*u^4 + 41*u^5 - 25*u^6 - 29*u^7 + 20*u^8 + 9*u^9 - 7*u^10 - u^11 + u^12)*(1 - 10*u + 94*u^2 - 158*u^3 + 18*u^4 + 157*u^5 - 149*u^6 + 35*u^7 + 66*u^8 - 94*u^9 + 41*u^10 + 15*u^11 - 22*u^12 + 7*u^13 + 2*u^14 - 3*u^15 + u^16)", "(1 + u + u^2 - 2*u^3 - 2*u^4 + u^5 + u^6)*(1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12)*(19 + 2*u - 52*u^2 + 14*u^3 + 70*u^4 - 25*u^5 - 35*u^6 + 27*u^7 + 6*u^8 - 6*u^9 + u^10 - 7*u^11 + 4*u^12 + 5*u^13 - 4*u^14 - u^15 + u^16)", "(1 - u + u^2)^8*(1 + u + 2*u^3 + 2*u^4 + u^6)*(16 + 96*u + 316*u^2 + 670*u^3 + 999*u^4 + 1110*u^5 + 952*u^6 + 641*u^7 + 340*u^8 + 140*u^9 + 43*u^10 + 9*u^11 + u^12)", "(1 + u^2 + u^3 + u^4)^4*(1 + 3*u^2 - 2*u^3 + 3*u^4 - u^5 + u^6)*(4 - 10*u + 15*u^2 - 24*u^3 + 52*u^4 - 93*u^5 + 123*u^6 - 120*u^7 + 89*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12)", "(1 - u + u^2 + 2*u^3 - 2*u^4 - u^5 + u^6)*(1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12)*(19 + 2*u - 52*u^2 + 14*u^3 + 70*u^4 - 25*u^5 - 35*u^6 + 27*u^7 + 6*u^8 - 6*u^9 + u^10 - 7*u^11 + 4*u^12 + 5*u^13 - 4*u^14 - u^15 + u^16)", "(1 + u + u^2 - 2*u^3 - 2*u^4 + u^5 + u^6)*(1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12)*(19 + 2*u - 52*u^2 + 14*u^3 + 70*u^4 - 25*u^5 - 35*u^6 + 27*u^7 + 6*u^8 - 6*u^9 + u^10 - 7*u^11 + 4*u^12 + 5*u^13 - 4*u^14 - u^15 + u^16)", "(1 + u^2 + u^3 + u^4)^4*(1 + 3*u^2 + 2*u^3 + 3*u^4 + u^5 + u^6)*(4 - 10*u + 15*u^2 - 24*u^3 + 52*u^4 - 93*u^5 + 123*u^6 - 120*u^7 + 89*u^8 - 50*u^9 + 21*u^10 - 6*u^11 + u^12)", "(1 + 2*u^2 - 2*u^3 - u^5 + u^6)*(1 - 3*u + 8*u^2 - 20*u^3 + 7*u^4 + 41*u^5 - 25*u^6 - 29*u^7 + 20*u^8 + 9*u^9 - 7*u^10 - u^11 + u^12)*(1 - 10*u + 94*u^2 - 158*u^3 + 18*u^4 + 157*u^5 - 149*u^6 + 35*u^7 + 66*u^8 - 94*u^9 + 41*u^10 + 15*u^11 - 22*u^12 + 7*u^13 + 2*u^14 - 3*u^15 + u^16)", "(1 - u + u^2)^8*(1 - u - 2*u^3 + 2*u^4 + u^6)*(16 + 96*u + 316*u^2 + 670*u^3 + 999*u^4 + 1110*u^5 + 952*u^6 + 641*u^7 + 340*u^8 + 140*u^9 + 43*u^10 + 9*u^11 + u^12)", "(1 - u + u^2 + 2*u^3 - 2*u^4 - u^5 + u^6)*(1 + 3*u^3 + 3*u^4 - 6*u^5 - 6*u^6 + 6*u^7 + 7*u^8 - 3*u^9 - 3*u^10 + u^11 + u^12)*(19 + 2*u - 52*u^2 + 14*u^3 + 70*u^4 - 25*u^5 - 35*u^6 + 27*u^7 + 6*u^8 - 6*u^9 + u^10 - 7*u^11 + 4*u^12 + 5*u^13 - 4*u^14 - u^15 + u^16)" ], "RileyPolyC":[ "(1 + 4*y + 4*y^2 - 2*y^3 - y^5 + y^6)*(1 + 7*y - 42*y^2 - 92*y^3 + 1155*y^4 - 2831*y^5 + 3527*y^6 - 2701*y^7 + 1368*y^8 - 469*y^9 + 107*y^10 - 15*y^11 + y^12)*(1 + 88*y + 5712*y^2 - 18738*y^3 + 22756*y^4 - 8343*y^5 - 8153*y^6 + 10847*y^7 - 4254*y^8 - 804*y^9 + 1489*y^10 - 537*y^11 + 6*y^12 + 35*y^13 + 2*y^14 - 5*y^15 + y^16)", "(1 + y + y^2 - 8*y^3 + 10*y^4 - 5*y^5 + y^6)*(1 + 6*y^2 - 21*y^3 + 59*y^4 - 114*y^5 + 170*y^6 - 180*y^7 + 139*y^8 - 75*y^9 + 29*y^10 - 7*y^11 + y^12)*(361 - 1980*y + 5308*y^2 - 8706*y^3 + 9360*y^4 - 6843*y^5 + 3659*y^6 - 1701*y^7 + 818*y^8 - 312*y^9 + 65*y^10 - 45*y^11 + 78*y^12 - 69*y^13 + 34*y^14 - 9*y^15 + y^16)", "(1 + y + y^2)^8*(1 - y - 2*y^3 + 4*y^4 + 4*y^5 + y^6)*(256 + 896*y + 3184*y^2 - 188*y^3 + 73*y^4 + 432*y^5 + 484*y^6 + 165*y^7 + 10*y^8 + 6*y^9 + 9*y^10 + 5*y^11 + y^12)", "(1 + 2*y + 3*y^2 + y^3 + y^4)^4*(1 + 6*y + 15*y^2 + 16*y^3 + 11*y^4 + 5*y^5 + y^6)*(16 + 20*y + 161*y^2 + 108*y^3 + 242*y^4 + 221*y^5 + 183*y^6 + 120*y^7 + 75*y^8 + 44*y^9 + 19*y^10 + 6*y^11 + y^12)", "(1 + y + y^2 - 8*y^3 + 10*y^4 - 5*y^5 + y^6)*(1 + 6*y^2 - 21*y^3 + 59*y^4 - 114*y^5 + 170*y^6 - 180*y^7 + 139*y^8 - 75*y^9 + 29*y^10 - 7*y^11 + y^12)*(361 - 1980*y + 5308*y^2 - 8706*y^3 + 9360*y^4 - 6843*y^5 + 3659*y^6 - 1701*y^7 + 818*y^8 - 312*y^9 + 65*y^10 - 45*y^11 + 78*y^12 - 69*y^13 + 34*y^14 - 9*y^15 + y^16)", "(1 + y + y^2 - 8*y^3 + 10*y^4 - 5*y^5 + y^6)*(1 + 6*y^2 - 21*y^3 + 59*y^4 - 114*y^5 + 170*y^6 - 180*y^7 + 139*y^8 - 75*y^9 + 29*y^10 - 7*y^11 + y^12)*(361 - 1980*y + 5308*y^2 - 8706*y^3 + 9360*y^4 - 6843*y^5 + 3659*y^6 - 1701*y^7 + 818*y^8 - 312*y^9 + 65*y^10 - 45*y^11 + 78*y^12 - 69*y^13 + 34*y^14 - 9*y^15 + y^16)", "(1 + 2*y + 3*y^2 + y^3 + y^4)^4*(1 + 6*y + 15*y^2 + 16*y^3 + 11*y^4 + 5*y^5 + y^6)*(16 + 20*y + 161*y^2 + 108*y^3 + 242*y^4 + 221*y^5 + 183*y^6 + 120*y^7 + 75*y^8 + 44*y^9 + 19*y^10 + 6*y^11 + y^12)", "(1 + 4*y + 4*y^2 - 2*y^3 - y^5 + y^6)*(1 + 7*y - 42*y^2 - 92*y^3 + 1155*y^4 - 2831*y^5 + 3527*y^6 - 2701*y^7 + 1368*y^8 - 469*y^9 + 107*y^10 - 15*y^11 + y^12)*(1 + 88*y + 5712*y^2 - 18738*y^3 + 22756*y^4 - 8343*y^5 - 8153*y^6 + 10847*y^7 - 4254*y^8 - 804*y^9 + 1489*y^10 - 537*y^11 + 6*y^12 + 35*y^13 + 2*y^14 - 5*y^15 + y^16)", "(1 + y + y^2)^8*(1 - y - 2*y^3 + 4*y^4 + 4*y^5 + y^6)*(256 + 896*y + 3184*y^2 - 188*y^3 + 73*y^4 + 432*y^5 + 484*y^6 + 165*y^7 + 10*y^8 + 6*y^9 + 9*y^10 + 5*y^11 + y^12)", "(1 + y + y^2 - 8*y^3 + 10*y^4 - 5*y^5 + y^6)*(1 + 6*y^2 - 21*y^3 + 59*y^4 - 114*y^5 + 170*y^6 - 180*y^7 + 139*y^8 - 75*y^9 + 29*y^10 - 7*y^11 + y^12)*(361 - 1980*y + 5308*y^2 - 8706*y^3 + 9360*y^4 - 6843*y^5 + 3659*y^6 - 1701*y^7 + 818*y^8 - 312*y^9 + 65*y^10 - 45*y^11 + 78*y^12 - 69*y^13 + 34*y^14 - 9*y^15 + y^16)" ] }, "GeometricRepresentation":[ 1.22712e1, [ "J10_158_0", 1, "{11, 12}" ] ] } }