{ "Index":162, "Name":"10_78", "RolfsenName":"10_78", "DTname":"10a_17", "TunnelNumber":1, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{6, 16, 8, 2, 12, 20, -18, 4, -14, 10}", "Acode":"{4, 9, 5, 2, 7, 1, -10, 3, -8, 6}", "PDcode":[ "{1, 7, 2, 6}", "{3, 17, 4, 16}", "{5, 9, 6, 8}", "{7, 3, 8, 2}", "{9, 13, 10, 12}", "{11, 1, 12, 20}", "{13, 18, 14, 19}", "{15, 5, 16, 4}", "{17, 14, 18, 15}", "{19, 11, 20, 10}" ], "CBtype":"{2, 1}", "ParabolicReps":{ "SolvingSeq":[ "{10, 6, 4}", [], [ "{10, 6, 1, 1}", "{1, 4, 2, 1}", "{6, 1, 7, 1}", "{7, -10, 8, 1}", "{6, 7, 5, 2}", "{4, 5, 3, 2}", "{10, -8, 9, 2}" ], "{2, 4}", "{8}", 8 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a + a*b - b^2 - a^2*u^2 + 2*a*b*u^2 - 2*u^4 + a*u^4 - a^2*u^4 - 2*a*b*u^4 + 2*b^2*u^4 + 2*u^6 - a*u^6 + 2*a^2*u^6 - b*u^6 - 2*a*b*u^6 - 2*b^2*u^6 + u^8 + a*u^8 + 5*a*b*u^8 - b^2*u^8 - 4*u^10 - 3*a^2*u^10 - 2*a*b*u^10 + 2*b^2*u^10 + 3*u^12 + 3*a^2*u^12 - a*b*u^12 - b^2*u^12 - u^14 - a^2*u^14 + a*b*u^14", "-b + b^2 + u^2 + a*u^2 - a*b*u^2 - b^2*u^2 - 2*a*u^4 - b*u^4 + 2*a*b*u^4 + 2*b^2*u^4 - 2*u^6 + 3*a*u^6 - a^2*u^6 + b*u^6 - 6*a*b*u^6 + 6*u^8 - 2*a*u^8 + 4*a^2*u^8 - b*u^8 + 6*a*b*u^8 - 3*b^2*u^8 - 7*u^10 + a*u^10 - 6*a^2*u^10 - a*b*u^10 + 3*b^2*u^10 + 4*u^12 + 4*a^2*u^12 - 2*a*b*u^12 - b^2*u^12 - u^14 - a^2*u^14 + a*b*u^14", "a - b - a*b^2 + a*u^2 + 2*a^2*b*u^2 - u^3 - a^3*u^4", "b - b^3 - u - b*u^2 + 2*a*b^2*u^2 + u^3 + a*u^4 - a^2*b*u^4 - u^5" ], "TimingForPrimaryIdeals":0.128916 }, "v":{ "CheckEq":[ "-b + b^2", "b - b^3", "a - b - a*b^2 - v", "1 - a + a*b - b^2 - b*v^2" ], "TimingForPrimaryIdeals":7.4142e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_78_0", "Generators":[ "-1 + b - u + u^2 + 2*u^3 + u^4 - 2*u^5 - 4*u^6 - 2*u^7 + 3*u^8 + 2*u^9 - u^10 - u^11", "-1 + a - u + u^2 + u^3 + u^4 - 2*u^5 - 4*u^6 - 2*u^7 + 3*u^8 + 2*u^9 - u^10 - u^11", "-1 + 2*u^2 + 3*u^3 - 3*u^5 - 5*u^6 + 7*u^8 + 4*u^9 - 4*u^10 - 3*u^11 + u^12 + u^13" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.1235e-2, "TimingZeroDimVars":7.4065e-2, "TimingmagmaVCompNormalize":7.539799999999999e-2, "TimingNumberOfSols":0.134456, "TimingIsRadical":7.399e-3, "TimingArcColoring":6.4939e-2, "TimingObstruction":1.7017e-2, "TimingComplexVolumeN":1.1719097000000001e1, "TimingaCuspShapeN":5.9109999999999996e-2, "TiminguValues":0.66003, "TiminguPolysN":1.0581e-2, "TiminguPolys":0.826551, "TimingaCuspShape":0.106065, "TimingRepresentationsN":0.127623, "TiminguValues_ij":0.174743, "TiminguPoly_ij":1.537395, "TiminguPolys_ij_N":2.3612e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":13, "IsRadical":true, "ArcColoring":[ [ 1, "u^2" ], [ "1 + u + u^2 - u^3 - u^4 - u^5 + 2*u^6 + 4*u^7 + 2*u^8 - 3*u^9 - 2*u^10 + u^11 + u^12", "u + 2*u^2 - u^3 - 2*u^4 - u^5 + 2*u^6 + 4*u^7 + 2*u^8 - 3*u^9 - 2*u^10 + u^11 + u^12" ], [ "1 + u - u^2 - u^3 - u^4 + u^5 + 4*u^6 + 2*u^7 - 3*u^8 - 2*u^9 + u^10 + u^11", "1 + u - u^2 - 3*u^3 - u^4 + 3*u^5 + 4*u^6 + u^7 - 3*u^8 - 2*u^9 + u^10 + u^11" ], [ "1 + u - u^2 - u^3 - u^4 + 2*u^5 + 4*u^6 + 2*u^7 - 3*u^8 - 2*u^9 + u^10 + u^11", "1 + u - u^2 - 2*u^3 - u^4 + 2*u^5 + 4*u^6 + 2*u^7 - 3*u^8 - 2*u^9 + u^10 + u^11" ], [ "u^3", "u - u^3 + u^5" ], [ 0, "u" ], [ "-u", "u - u^3" ], [ "-u^3", "u - u^3" ], [ "1 - u^4 + u^6", "u^2 - 2*u^4 + u^6" ], "{1, 0}" ], "Obstruction":-1, "ComplexVolumeN":[ "-2.16179 - 3.07776*I", "-2.16179 + 3.07776*I", "0.33005 + 7.56007*I", "0.33005 - 7.56007*I", "2.63797 + 1.38269*I", "2.63797 - 1.38269*I", "-1.44691 - 2.76421*I", "-1.44691 + 2.76421*I", "-8.78542 - 6.0098*I", "-8.78542 + 6.0098*I", "-8.1203 + 12.5021*I", "-8.1203 - 12.5021*I", -1.09585 ], "uPolysN":[ "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13", "2 + 4*u + 3*u^2 + 2*u^3 - u^4 - u^5 - u^6 + 4*u^7 + 6*u^8 + 8*u^9 + 7*u^10 + 6*u^11 + 3*u^12 + u^13", "1 + 4*u + 4*u^2 - u^3 - 16*u^4 - 27*u^5 - 17*u^6 + 24*u^7 + 65*u^8 + 76*u^9 + 54*u^10 + 25*u^11 + 7*u^12 + u^13", "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13", "1 + 4*u + 4*u^2 - u^3 - 16*u^4 - 27*u^5 - 17*u^6 + 24*u^7 + 65*u^8 + 76*u^9 + 54*u^10 + 25*u^11 + 7*u^12 + u^13", "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13", "4 + 4*u - 11*u^2 + 6*u^3 - 9*u^4 + 15*u^5 - 29*u^6 + 40*u^7 - 40*u^8 + 32*u^9 - 19*u^10 + 10*u^11 - 3*u^12 + u^13", "2 + 4*u + 3*u^2 + 2*u^3 - u^4 - u^5 - u^6 + 4*u^7 + 6*u^8 + 8*u^9 + 7*u^10 + 6*u^11 + 3*u^12 + u^13", "4 + 4*u - 11*u^2 + 6*u^3 - 9*u^4 + 15*u^5 - 29*u^6 + 40*u^7 - 40*u^8 + 32*u^9 - 19*u^10 + 10*u^11 - 3*u^12 + u^13", "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13" ], "uPolys":[ "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13", "2 + 4*u + 3*u^2 + 2*u^3 - u^4 - u^5 - u^6 + 4*u^7 + 6*u^8 + 8*u^9 + 7*u^10 + 6*u^11 + 3*u^12 + u^13", "1 + 4*u + 4*u^2 - u^3 - 16*u^4 - 27*u^5 - 17*u^6 + 24*u^7 + 65*u^8 + 76*u^9 + 54*u^10 + 25*u^11 + 7*u^12 + u^13", "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13", "1 + 4*u + 4*u^2 - u^3 - 16*u^4 - 27*u^5 - 17*u^6 + 24*u^7 + 65*u^8 + 76*u^9 + 54*u^10 + 25*u^11 + 7*u^12 + u^13", "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13", "4 + 4*u - 11*u^2 + 6*u^3 - 9*u^4 + 15*u^5 - 29*u^6 + 40*u^7 - 40*u^8 + 32*u^9 - 19*u^10 + 10*u^11 - 3*u^12 + u^13", "2 + 4*u + 3*u^2 + 2*u^3 - u^4 - u^5 - u^6 + 4*u^7 + 6*u^8 + 8*u^9 + 7*u^10 + 6*u^11 + 3*u^12 + u^13", "4 + 4*u - 11*u^2 + 6*u^3 - 9*u^4 + 15*u^5 - 29*u^6 + 40*u^7 - 40*u^8 + 32*u^9 - 19*u^10 + 10*u^11 - 3*u^12 + u^13", "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13" ], "aCuspShape":"-6 - 2*(-1 + 4*u + u^2 + u^3 - 5*u^4 - 6*u^5 + 8*u^7 + u^8 - 4*u^9 - u^10 + u^11)", "RepresentationsN":[ [ "u->0.915058 + 0.384331 I", "a->-0.86874 + 2.19716 I", "b->-1.22946 + 1.28849 I" ], [ "u->0.915058 - 0.384331 I", "a->-0.86874 - 2.19716 I", "b->-1.22946 - 1.28849 I" ], [ "u->-0.992158 + 0.54617 I", "a->1.43275 + 1.41238 I", "b->1.52152 - 0.03761 I" ], [ "u->-0.992158 - 0.54617 I", "a->1.43275 - 1.41238 I", "b->1.52152 + 0.03761 I" ], [ "u->-0.61396 + 0.561299 I", "a->0.334868 + 0.840411 I", "b->-0.013998 + 0.382511 I" ], [ "u->-0.61396 - 0.561299 I", "a->0.334868 - 0.840411 I", "b->-0.013998 - 0.382511 I" ], [ "u->-0.089121 + 0.795435 I", "a->0.065042 + 0.185799 I", "b->-0.103415 + 0.67013 I" ], [ "u->-0.089121 - 0.795435 I", "a->0.065042 - 0.185799 I", "b->-0.103415 - 0.67013 I" ], [ "u->1.21614 + 0.467752 I", "a->-2.4622 + 1.38514 I", "b->-3.46262 - 0.58793 I" ], [ "u->1.21614 - 0.467752 I", "a->-2.4622 - 1.38514 I", "b->-3.46262 + 0.58793 I" ], [ "u->-1.23134 + 0.513532 I", "a->2.3862 + 1.20321 I", "b->3.27898 - 0.99721 I" ], [ "u->-1.23134 - 0.513532 I", "a->2.3862 - 1.20321 I", "b->3.27898 + 0.99721 I" ], [ "u->0.590758", "a->1.22415", "b->1.01798" ] ], "Epsilon":0.960374, "uPolys_ij":[ "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13", "1 + 4*u + 4*u^2 - u^3 - 16*u^4 - 27*u^5 - 17*u^6 + 24*u^7 + 65*u^8 + 76*u^9 + 54*u^10 + 25*u^11 + 7*u^12 + u^13", "1 + 8*u - 8*u^2 - 53*u^3 + 4*u^4 + 117*u^5 - 97*u^6 + 312*u^7 - 131*u^8 + 140*u^9 - 22*u^10 + 21*u^11 - u^12 + u^13", "4 + 4*u - 11*u^2 + 6*u^3 - 9*u^4 + 15*u^5 - 29*u^6 + 40*u^7 - 40*u^8 + 32*u^9 - 19*u^10 + 10*u^11 - 3*u^12 + u^13", "1 + 4*u + 6*u^2 - 5*u^3 - 40*u^4 - 31*u^5 + 49*u^6 + 50*u^7 + 13*u^8 + 46*u^9 + 6*u^10 + 9*u^11 + u^12 + u^13", "-16 + 104*u - u^2 + 190*u^3 + 101*u^4 - 289*u^5 - 291*u^6 - 40*u^7 + 116*u^8 + 160*u^9 + 119*u^10 + 50*u^11 + 11*u^12 + u^13", "11 + 72*u + 200*u^2 + 251*u^3 - 4*u^4 - 301*u^5 + 43*u^6 + 256*u^7 - 189*u^8 + 164*u^9 - 2*u^10 - 25*u^11 + u^12 + u^13", "5 + 36*u + 46*u^2 + 25*u^3 - 6*u^4 + 41*u^5 + 67*u^6 - 16*u^7 - 51*u^8 + 4*u^9 + 16*u^10 - u^11 - 3*u^12 + u^13", "548 + 1876*u + 2117*u^2 + 1630*u^3 - 9*u^4 - 633*u^5 - 237*u^6 + 164*u^7 - 80*u^8 + 22*u^9 - 11*u^10 + 8*u^11 + 3*u^12 + u^13", "1 + 2*u - 4*u^2 - 7*u^3 + 16*u^4 + 61*u^5 + 25*u^6 - 60*u^7 - 19*u^8 + 38*u^9 + 6*u^10 - 9*u^11 - u^12 + u^13", "50 + 272*u + 1775*u^2 + 3240*u^3 + 3849*u^4 + 2659*u^5 + 837*u^6 + 184*u^7 + 84*u^8 + 40*u^9 - 3*u^10 + 3*u^12 + u^13", "73 + 64*u + 600*u^2 + 717*u^3 + 800*u^4 + 1347*u^5 + 329*u^6 - 382*u^7 + 133*u^8 + 178*u^9 - 26*u^10 - 23*u^11 + u^12 + u^13", "2 + 36*u + 203*u^2 + 154*u^3 - 37*u^4 + 73*u^5 + 103*u^6 - 12*u^7 + 12*u^8 + 42*u^9 - 19*u^10 + 14*u^11 - 3*u^12 + u^13", "31 - 34*u - 40*u^2 - 17*u^3 - 2*u^4 + 251*u^5 - 25*u^6 - 228*u^7 - u^8 + 86*u^9 + 8*u^10 - 13*u^11 - u^12 + u^13", "2048 - 9216*u + 17408*u^2 - 17152*u^3 + 6272*u^4 + 6720*u^5 - 12448*u^6 + 10448*u^7 - 5768*u^8 + 2268*u^9 - 642*u^10 + 127*u^11 - 16*u^12 + u^13", "50 - 796*u + 4405*u^2 - 9504*u^3 + 6631*u^4 + 8221*u^5 - 21689*u^6 + 21942*u^7 - 13276*u^8 + 5262*u^9 - 1385*u^10 + 234*u^11 - 23*u^12 + u^13", "158 - 804*u + 1833*u^2 - 2426*u^3 + 1771*u^4 + 95*u^5 - 2043*u^6 + 2800*u^7 - 2230*u^8 + 1190*u^9 - 433*u^10 + 104*u^11 - 15*u^12 + u^13", "1 + 26*u^2 - 43*u^3 + 182*u^4 - 111*u^5 - 139*u^6 + 534*u^7 - 467*u^8 + 268*u^9 - 72*u^10 + 29*u^11 - 3*u^12 + u^13", "2 + 4*u + 3*u^2 + 2*u^3 - u^4 - u^5 - u^6 + 4*u^7 + 6*u^8 + 8*u^9 + 7*u^10 + 6*u^11 + 3*u^12 + u^13" ], "GeometricComponent":"{11, 12}", "uPolys_ij_N":[ "1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13", "1 + 4*u + 4*u^2 - u^3 - 16*u^4 - 27*u^5 - 17*u^6 + 24*u^7 + 65*u^8 + 76*u^9 + 54*u^10 + 25*u^11 + 7*u^12 + u^13", "1 + 8*u - 8*u^2 - 53*u^3 + 4*u^4 + 117*u^5 - 97*u^6 + 312*u^7 - 131*u^8 + 140*u^9 - 22*u^10 + 21*u^11 - u^12 + u^13", "4 + 4*u - 11*u^2 + 6*u^3 - 9*u^4 + 15*u^5 - 29*u^6 + 40*u^7 - 40*u^8 + 32*u^9 - 19*u^10 + 10*u^11 - 3*u^12 + u^13", "1 + 4*u + 6*u^2 - 5*u^3 - 40*u^4 - 31*u^5 + 49*u^6 + 50*u^7 + 13*u^8 + 46*u^9 + 6*u^10 + 9*u^11 + u^12 + u^13", "-16 + 104*u - u^2 + 190*u^3 + 101*u^4 - 289*u^5 - 291*u^6 - 40*u^7 + 116*u^8 + 160*u^9 + 119*u^10 + 50*u^11 + 11*u^12 + u^13", "11 + 72*u + 200*u^2 + 251*u^3 - 4*u^4 - 301*u^5 + 43*u^6 + 256*u^7 - 189*u^8 + 164*u^9 - 2*u^10 - 25*u^11 + u^12 + u^13", "5 + 36*u + 46*u^2 + 25*u^3 - 6*u^4 + 41*u^5 + 67*u^6 - 16*u^7 - 51*u^8 + 4*u^9 + 16*u^10 - u^11 - 3*u^12 + u^13", "548 + 1876*u + 2117*u^2 + 1630*u^3 - 9*u^4 - 633*u^5 - 237*u^6 + 164*u^7 - 80*u^8 + 22*u^9 - 11*u^10 + 8*u^11 + 3*u^12 + u^13", "1 + 2*u - 4*u^2 - 7*u^3 + 16*u^4 + 61*u^5 + 25*u^6 - 60*u^7 - 19*u^8 + 38*u^9 + 6*u^10 - 9*u^11 - u^12 + u^13", "50 + 272*u + 1775*u^2 + 3240*u^3 + 3849*u^4 + 2659*u^5 + 837*u^6 + 184*u^7 + 84*u^8 + 40*u^9 - 3*u^10 + 3*u^12 + u^13", "73 + 64*u + 600*u^2 + 717*u^3 + 800*u^4 + 1347*u^5 + 329*u^6 - 382*u^7 + 133*u^8 + 178*u^9 - 26*u^10 - 23*u^11 + u^12 + u^13", "2 + 36*u + 203*u^2 + 154*u^3 - 37*u^4 + 73*u^5 + 103*u^6 - 12*u^7 + 12*u^8 + 42*u^9 - 19*u^10 + 14*u^11 - 3*u^12 + u^13", "31 - 34*u - 40*u^2 - 17*u^3 - 2*u^4 + 251*u^5 - 25*u^6 - 228*u^7 - u^8 + 86*u^9 + 8*u^10 - 13*u^11 - u^12 + u^13", "2048 - 9216*u + 17408*u^2 - 17152*u^3 + 6272*u^4 + 6720*u^5 - 12448*u^6 + 10448*u^7 - 5768*u^8 + 2268*u^9 - 642*u^10 + 127*u^11 - 16*u^12 + u^13", "50 - 796*u + 4405*u^2 - 9504*u^3 + 6631*u^4 + 8221*u^5 - 21689*u^6 + 21942*u^7 - 13276*u^8 + 5262*u^9 - 1385*u^10 + 234*u^11 - 23*u^12 + u^13", "158 - 804*u + 1833*u^2 - 2426*u^3 + 1771*u^4 + 95*u^5 - 2043*u^6 + 2800*u^7 - 2230*u^8 + 1190*u^9 - 433*u^10 + 104*u^11 - 15*u^12 + u^13", "1 + 26*u^2 - 43*u^3 + 182*u^4 - 111*u^5 - 139*u^6 + 534*u^7 - 467*u^8 + 268*u^9 - 72*u^10 + 29*u^11 - 3*u^12 + u^13", "2 + 4*u + 3*u^2 + 2*u^3 - u^4 - u^5 - u^6 + 4*u^7 + 6*u^8 + 8*u^9 + 7*u^10 + 6*u^11 + 3*u^12 + u^13" ], "Multiplicity":1, "ij_list":[ [ "{1, 4}", "{1, 6}", "{1, 7}", "{2, 4}", "{2, 5}", "{6, 10}" ], [ "{1, 2}", "{1, 10}", "{3, 5}", "{4, 5}", "{5, 7}", "{6, 7}" ], [ "{3, 4}", "{5, 6}", "{6, 8}" ], [ "{1, 5}", "{2, 3}", "{7, 10}", "{8, 9}", "{8, 10}" ], [ "{1, 3}", "{1, 8}", "{5, 10}" ], [ "{7, 8}", "{9, 10}" ], [ "{6, 9}" ], [ "{1, 9}", "{5, 8}" ], [ "{7, 9}" ], [ "{5, 9}" ], [ "{2, 7}" ], [ "{2, 6}", "{4, 10}" ], [ "{2, 8}", "{3, 10}" ], [ "{4, 9}" ], [ "{4, 7}" ], [ "{4, 6}" ], [ "{2, 10}", "{3, 7}" ], [ "{3, 6}", "{4, 8}" ], [ "{2, 9}", "{3, 8}", "{3, 9}" ] ], "SortedReprnIndices":"{11, 12, 3, 4, 10, 9, 2, 1, 8, 7, 5, 6, 13}", "aCuspShapeN":[ "-9.6074952609841902972`5.080670668025252 + 5.9177416675311300997`4.8702164917029656*I", "-9.6074952609841902972`5.080670668025252 - 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u^3" ], [ "-u^3", "u - u^3" ], [ "1 - u^4 + u^6", "u^2 - 2*u^4 + u^6" ], "{1, 0}" ], "Obstruction":-1, "ComplexVolumeN":[ "1.89175 + 2.94672*I", "1.89175 - 2.94672*I", "-2.98514 + 1.1313*I", "-2.98514 - 1.1313*I", "-4.72165 - 7.47524*I", "-4.72165 + 7.47524*I", "-2.98514 + 1.1313*I", "-2.98514 - 1.1313*I", "-5.26692 + 1.41699*I", "-5.26692 - 1.41699*I", "1.89175 - 2.94672*I", "1.89175 + 2.94672*I", "-5.26692 - 1.41699*I", "-5.26692 + 1.41699*I", "-8.93247 + 3.04152*I", "-8.93247 - 3.04152*I", "-4.72165 + 7.47524*I", "-4.72165 - 7.47524*I", -1.0945, "-8.93247 + 3.04152*I", "-8.93247 - 3.04152*I", -1.0945 ], "uPolysN":[ "1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22", "1 + 2*u^2 + 6*u^3 - u^4 + 14*u^5 + 3*u^6 + 10*u^7 + 19*u^8 - 8*u^9 + 40*u^10 - 24*u^11 + 48*u^12 - 32*u^13 + 44*u^14 - 26*u^15 + 29*u^16 - 16*u^17 + 14*u^18 - 6*u^19 + 5*u^20 - 2*u^21 + u^22", "1 + 8*u + 16*u^2 - 6*u^3 - 52*u^4 - 69*u^5 - 77*u^6 - 100*u^7 + 78*u^8 + 597*u^9 + 915*u^10 + 253*u^11 - 1113*u^12 - 1819*u^13 - 1065*u^14 + 405*u^15 + 1325*u^16 + 1284*u^17 + 760*u^18 + 302*u^19 + 80*u^20 + 13*u^21 + u^22", "1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22", "1 + 8*u + 16*u^2 - 6*u^3 - 52*u^4 - 69*u^5 - 77*u^6 - 100*u^7 + 78*u^8 + 597*u^9 + 915*u^10 + 253*u^11 - 1113*u^12 - 1819*u^13 - 1065*u^14 + 405*u^15 + 1325*u^16 + 1284*u^17 + 760*u^18 + 302*u^19 + 80*u^20 + 13*u^21 + u^22", "1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22", "1 - 4*u + 2*u^2 + 34*u^3 - 117*u^4 + 166*u^5 + 43*u^6 - 726*u^7 + 1955*u^8 - 3488*u^9 + 4872*u^10 - 5632*u^11 + 5564*u^12 - 4752*u^13 + 3548*u^14 - 2314*u^15 + 1321*u^16 - 652*u^17 + 278*u^18 - 98*u^19 + 29*u^20 - 6*u^21 + u^22", "1 + 2*u^2 + 6*u^3 - u^4 + 14*u^5 + 3*u^6 + 10*u^7 + 19*u^8 - 8*u^9 + 40*u^10 - 24*u^11 + 48*u^12 - 32*u^13 + 44*u^14 - 26*u^15 + 29*u^16 - 16*u^17 + 14*u^18 - 6*u^19 + 5*u^20 - 2*u^21 + u^22", "1 - 4*u + 2*u^2 + 34*u^3 - 117*u^4 + 166*u^5 + 43*u^6 - 726*u^7 + 1955*u^8 - 3488*u^9 + 4872*u^10 - 5632*u^11 + 5564*u^12 - 4752*u^13 + 3548*u^14 - 2314*u^15 + 1321*u^16 - 652*u^17 + 278*u^18 - 98*u^19 + 29*u^20 - 6*u^21 + u^22", "1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22" ], "uPolys":[ "1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22", "(1 + u^2 + 3*u^3 - u^4 + 4*u^5 - 2*u^6 + 4*u^7 - u^8 + 2*u^9 - u^10 + u^11)^2", "1 + 8*u + 16*u^2 - 6*u^3 - 52*u^4 - 69*u^5 - 77*u^6 - 100*u^7 + 78*u^8 + 597*u^9 + 915*u^10 + 253*u^11 - 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0.67607 I", "b->2.24577 + 1.44537 I" ], [ "u->1.26303 - 0.401917 I", "a->1.93778 + 0.67607 I", "b->2.24577 - 1.44537 I" ], [ "u->0.460239", "a->1.48577", "b->1.00173" ] ], "Epsilon":0.545065, "uPolys_ij_N":[ "1 + 22*u + 231*u^2 + 1540*u^3 + 7315*u^4 + 26334*u^5 + 74613*u^6 + 170544*u^7 + 319770*u^8 + 497420*u^9 + 646646*u^10 + 705432*u^11 + 646646*u^12 + 497420*u^13 + 319770*u^14 + 170544*u^15 + 74613*u^16 + 26334*u^17 + 7315*u^18 + 1540*u^19 + 231*u^20 + 22*u^21 + u^22", "1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22", "1 + 8*u + 16*u^2 - 6*u^3 - 52*u^4 - 69*u^5 - 77*u^6 - 100*u^7 + 78*u^8 + 597*u^9 + 915*u^10 + 253*u^11 - 1113*u^12 - 1819*u^13 - 1065*u^14 + 405*u^15 + 1325*u^16 + 1284*u^17 + 760*u^18 + 302*u^19 + 80*u^20 + 13*u^21 + u^22", "1 + 32*u + 248*u^2 + 750*u^3 + 1168*u^4 + 3179*u^5 + 14187*u^6 + 40392*u^7 + 75502*u^8 + 103693*u^9 + 114871*u^10 + 113973*u^11 + 106667*u^12 + 83017*u^13 + 53599*u^14 + 28621*u^15 + 12633*u^16 + 4608*u^17 + 1404*u^18 + 338*u^19 + 68*u^20 + 9*u^21 + u^22", "1 - 4*u + 2*u^2 + 34*u^3 - 117*u^4 + 166*u^5 + 43*u^6 - 726*u^7 + 1955*u^8 - 3488*u^9 + 4872*u^10 - 5632*u^11 + 5564*u^12 - 4752*u^13 + 3548*u^14 - 2314*u^15 + 1321*u^16 - 652*u^17 + 278*u^18 - 98*u^19 + 29*u^20 - 6*u^21 + u^22", "9 + 234*u + 1816*u^2 + 764*u^3 - 7720*u^4 + 6723*u^5 + 19885*u^6 - 9446*u^7 + 4942*u^8 - 13689*u^9 - 1997*u^10 - 949*u^11 + 3959*u^12 + 4165*u^13 + 4017*u^14 + 2279*u^15 + 1473*u^16 + 544*u^17 + 274*u^18 + 64*u^19 + 26*u^20 + 3*u^21 + u^22", "1 - 12*u + 42*u^2 - 210*u^3 + 675*u^4 + 1410*u^5 + 8155*u^6 + 33334*u^7 + 65747*u^8 + 89624*u^9 + 111872*u^10 + 130744*u^11 + 129292*u^12 + 108152*u^13 + 81956*u^14 + 56954*u^15 + 33753*u^16 + 15716*u^17 + 5438*u^18 + 1338*u^19 + 221*u^20 + 22*u^21 + u^22", "59 + 36*u + 164*u^2 + 2248*u^3 - 2410*u^4 - 17669*u^5 + 8657*u^6 + 47224*u^7 - 23090*u^8 - 38659*u^9 + 53561*u^10 + 6777*u^11 - 26317*u^12 + 8361*u^13 + 14435*u^14 - 1715*u^15 - 3007*u^16 + 380*u^17 + 398*u^18 - 28*u^19 - 22*u^20 + 3*u^21 + u^22", "113 + 1922*u + 4788*u^2 - 4764*u^3 - 13468*u^4 - 6297*u^5 + 27879*u^6 + 10524*u^7 - 19038*u^8 - 16977*u^9 + 10695*u^10 + 13763*u^11 - 5977*u^12 - 6057*u^13 + 2363*u^14 + 1717*u^15 - 621*u^16 - 336*u^17 + 116*u^18 + 38*u^19 - 12*u^20 - 3*u^21 + u^22", "81 + 108*u + 18*u^2 + 1482*u^3 + 1123*u^4 + 1358*u^5 + 8483*u^6 + 2118*u^7 + 13947*u^8 + 7320*u^9 + 13336*u^10 + 8488*u^11 + 8892*u^12 + 5424*u^13 + 3868*u^14 + 2058*u^15 + 1153*u^16 + 508*u^17 + 218*u^18 + 74*u^19 + 25*u^20 + 6*u^21 + u^22", "1 + 26*u^3 - 26*u^4 - 47*u^5 + 95*u^6 + 66*u^7 - 10*u^8 - 1551*u^9 + 2015*u^10 + 1451*u^11 - 2619*u^12 - 905*u^13 + 1889*u^14 + 105*u^15 - 577*u^16 - 18*u^17 + 114*u^18 + 6*u^19 - 14*u^20 - u^21 + u^22", "1 + 2*u^2 + 6*u^3 - u^4 + 14*u^5 + 3*u^6 + 10*u^7 + 19*u^8 - 8*u^9 + 40*u^10 - 24*u^11 + 48*u^12 - 32*u^13 + 44*u^14 - 26*u^15 + 29*u^16 - 16*u^17 + 14*u^18 - 6*u^19 + 5*u^20 - 2*u^21 + u^22", "487 + 2012*u + 3922*u^2 + 4358*u^3 + 7800*u^4 + 6431*u^5 - 3245*u^6 + 5384*u^7 - 2768*u^8 - 13125*u^9 + 7607*u^10 - 221*u^11 - 4831*u^12 + 2357*u^13 + 2661*u^14 - 1091*u^15 - 803*u^16 + 252*u^17 + 178*u^18 - 26*u^19 - 20*u^20 + u^21 + u^22", "25 - 60*u + 146*u^2 - 342*u^3 + 343*u^4 + 154*u^5 - 181*u^6 + 1634*u^7 - 2529*u^8 - 40*u^9 + 1644*u^10 + 1308*u^11 + 4384*u^12 + 1852*u^13 + 2908*u^14 + 950*u^15 + 993*u^16 + 248*u^17 + 194*u^18 + 34*u^19 + 21*u^20 + 2*u^21 + u^22", "1 + 24*u + 220*u^2 + 942*u^3 + 2072*u^4 + 2179*u^5 + 1255*u^6 + 9442*u^7 + 52656*u^8 + 146811*u^9 + 247121*u^10 + 269751*u^11 + 199251*u^12 + 107561*u^13 + 48745*u^14 + 19455*u^15 + 6613*u^16 + 2044*u^17 + 588*u^18 + 122*u^19 + 34*u^20 + 3*u^21 + u^22", "49 + 280*u + 1058*u^2 + 3406*u^3 + 8879*u^4 + 18414*u^5 + 31647*u^6 + 44990*u^7 + 47307*u^8 + 26700*u^9 - 8372*u^10 - 28904*u^11 - 20500*u^12 - 1112*u^13 + 7408*u^14 + 4422*u^15 + 193*u^16 - 852*u^17 - 358*u^18 - 10*u^19 + 33*u^20 + 10*u^21 + u^22", "223 - 430*u + 166*u^2 + 300*u^3 - 860*u^4 + 397*u^5 + 2207*u^6 + 3700*u^7 - 3522*u^8 - 4795*u^9 + 7069*u^10 + 2275*u^11 - 6633*u^12 - 59*u^13 + 3449*u^14 - 153*u^15 - 965*u^16 + 48*u^17 + 154*u^18 - 10*u^19 - 16*u^20 + u^21 + u^22", "9 + 234*u + 1816*u^2 + 764*u^3 - 7720*u^4 + 6723*u^5 + 19885*u^6 - 9446*u^7 + 4942*u^8 - 13689*u^9 - 1997*u^10 - 949*u^11 + 3959*u^12 + 4165*u^13 + 4017*u^14 + 2279*u^15 + 1473*u^16 + 544*u^17 + 274*u^18 + 64*u^19 + 26*u^20 + 3*u^21 + u^22", "1 + 24*u + 220*u^2 + 942*u^3 + 2072*u^4 + 2179*u^5 + 1255*u^6 + 9442*u^7 + 52656*u^8 + 146811*u^9 + 247121*u^10 + 269751*u^11 + 199251*u^12 + 107561*u^13 + 48745*u^14 + 19455*u^15 + 6613*u^16 + 2044*u^17 + 588*u^18 + 122*u^19 + 34*u^20 + 3*u^21 + u^22", "1 + 32*u + 248*u^2 + 750*u^3 + 1168*u^4 + 3179*u^5 + 14187*u^6 + 40392*u^7 + 75502*u^8 + 103693*u^9 + 114871*u^10 + 113973*u^11 + 106667*u^12 + 83017*u^13 + 53599*u^14 + 28621*u^15 + 12633*u^16 + 4608*u^17 + 1404*u^18 + 338*u^19 + 68*u^20 + 9*u^21 + u^22", "223 - 430*u + 166*u^2 + 300*u^3 - 860*u^4 + 397*u^5 + 2207*u^6 + 3700*u^7 - 3522*u^8 - 4795*u^9 + 7069*u^10 + 2275*u^11 - 6633*u^12 - 59*u^13 + 3449*u^14 - 153*u^15 - 965*u^16 + 48*u^17 + 154*u^18 - 10*u^19 - 16*u^20 + u^21 + u^22", "1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22", "1 + 4*u + 10*u^2 + 6*u^3 - 9*u^4 - 34*u^5 - 21*u^6 + 10*u^7 + 39*u^8 + 64*u^9 - 20*u^10 - 72*u^11 - 16*u^12 + 40*u^14 + 50*u^15 - 39*u^16 - 40*u^17 + 22*u^18 + 14*u^19 - 7*u^20 - 2*u^21 + u^22", "49 + 756*u + 5870*u^2 + 29942*u^3 + 111483*u^4 + 320414*u^5 + 735687*u^6 + 1380798*u^7 + 2152443*u^8 + 2817248*u^9 + 3117728*u^10 + 2927904*u^11 + 2334788*u^12 + 1577144*u^13 + 897416*u^14 + 426162*u^15 + 166569*u^16 + 52532*u^17 + 12994*u^18 + 2418*u^19 + 317*u^20 + 26*u^21 + u^22", "1 + 8*u + 16*u^2 - 6*u^3 - 52*u^4 - 69*u^5 - 77*u^6 - 100*u^7 + 78*u^8 + 597*u^9 + 915*u^10 + 253*u^11 - 1113*u^12 - 1819*u^13 - 1065*u^14 + 405*u^15 + 1325*u^16 + 1284*u^17 + 760*u^18 + 302*u^19 + 80*u^20 + 13*u^21 + u^22" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{4, 7}" ], [ "{1, 6}", "{1, 7}", "{6, 10}" ], [ "{1, 10}", "{5, 7}", "{6, 7}" ], [ "{5, 6}", "{6, 8}" ], [ "{1, 5}", "{2, 3}", "{7, 10}", "{8, 9}", "{8, 10}" ], [ "{1, 8}", "{5, 10}" ], [ "{7, 8}", "{9, 10}" ], [ "{6, 9}" ], [ "{1, 9}", "{5, 8}" ], [ "{7, 9}" ], [ "{5, 9}" ], [ "{2, 9}", "{3, 8}", "{3, 9}" ], [ "{4, 9}" ], [ "{2, 8}", "{3, 10}" ], [ "{4, 8}" ], [ "{2, 10}", "{3, 7}" ], [ "{4, 10}" ], [ "{1, 3}" ], [ "{3, 6}" ], [ "{3, 4}" ], [ "{2, 6}" ], [ "{1, 4}", "{2, 4}", "{2, 5}" ], [ "{2, 7}" ], [ "{4, 6}" ], [ "{1, 2}", "{3, 5}", "{4, 5}" ] ], "SortedReprnIndices":"{6, 17, 5, 18, 15, 20, 16, 21, 1, 12, 2, 11, 9, 14, 10, 13, 3, 7, 4, 8, 19, 22}", "aCuspShapeN":[ "-2.2006344015239915892`4.82383842421478 - 4.1178670708969490053`5.095962849432076*I", "-2.2006344015239915892`4.82383842421478 + 4.1178670708969490053`5.095962849432076*I", "-7.9878039161238813619`5.051853884912437 - 6.0578481042687981773`4.9317448691479955*I", "-7.9878039161238813619`5.051853884912437 + 6.0578481042687981773`4.9317448691479955*I", "-7.770915323278859181`5.060892737645748 + 5.554604462886721493`4.915073699760416*I", "-7.770915323278859181`5.060892737645748 - 5.554604462886721493`4.915073699760416*I", "-7.9878039161238813656`5.051853884912437 - 6.0578481042687981821`4.9317448691479955*I", "-7.9878039161238813656`5.051853884912437 + 6.0578481042687981821`4.9317448691479955*I", "-8.7913056802589299469`5.149389533406228 - 0.6337311936493714021`4.007241236931244*I", "-8.7913056802589299469`5.149389533406228 + 0.6337311936493714021`4.007241236931244*I", "-2.2006344015239915875`4.82383842421478 + 4.1178670708969490112`5.095962849432076*I", "-2.2006344015239915875`4.82383842421478 - 4.1178670708969490112`5.095962849432076*I", "-8.7913056802589302165`5.149389533406228 + 0.6337311936493711054`4.007241236931244*I", "-8.7913056802589302165`5.149389533406228 - 0.6337311936493711054`4.007241236931244*I", "-12.061211996091783043`5.138938213142107 - 2.8224215498038565542`4.508169141554025*I", "-12.061211996091783043`5.138938213142107 + 2.8224215498038565542`4.508169141554025*I", "-7.7709153232788591333`5.060892737645748 - 5.5546044628867216654`4.915073699760416*I", "-7.7709153232788591333`5.060892737645748 + 5.5546044628867216654`4.915073699760416*I", -8.3763, "-12.0612119960917836456`5.138938213142107 - 2.8224215498038562279`4.508169141554025*I", "-12.0612119960917836456`5.138938213142107 + 2.8224215498038562279`4.508169141554025*I", -8.3763 ], "Abelian":false }, { "IdealName":"J10_78_2", "Generators":[ "1 + b", "2 + a", "1 + u" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":7.4203e-2, "TimingZeroDimVars":6.793400000000001e-2, "TimingmagmaVCompNormalize":6.9392e-2, "TimingNumberOfSols":2.634e-2, "TimingIsRadical":1.701e-3, "TimingArcColoring":6.3761e-2, "TimingObstruction":3.9400000000000004e-4, "TimingComplexVolumeN":0.574687, "TimingaCuspShapeN":5.106e-3, "TiminguValues":0.632885, "TiminguPolysN":7.900000000000002e-5, "TiminguPolys":0.807446, "TimingaCuspShape":0.10769, "TimingRepresentationsN":2.6072e-2, "TiminguValues_ij":0.16655, "TiminguPoly_ij":0.364614, "TiminguPolys_ij_N":7.1e-5 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":1, "IsRadical":true, "ArcColoring":[ "{1, 1}", "{-1, 0}", "{-1, 0}", "{-2, -1}", "{-1, -1}", "{0, -1}", "{1, 0}", "{1, 0}", "{1, 0}", "{1, 0}" ], "Obstruction":1, "ComplexVolumeN":[ -3.28987 ], "uPolysN":[ "-1 + u", "u", "-1 + u", "1 + u", "-1 + u", "-1 + u", "u", "u", "u", "1 + u" ], "uPolys":[ "-1 + u", "u", "-1 + u", "1 + u", "-1 + u", "-1 + u", "u", "u", "u", "1 + u" ], "aCuspShape":-12, "RepresentationsN":[ [ "u->-1.", "a->-2.", "b->-1." ] ], "Epsilon":"Infinity", "uPolys_ij":[ "1 + u", "u", "-1 + u", "-2 + u" ], "GeometricComponent":0, "uPolys_ij_N":[ "1 + u", "u", "-1 + u", "-2 + u" ], "Multiplicity":1, "ij_list":[ [ "{1, 6}", "{1, 7}", "{1, 8}", "{1, 9}", "{1, 10}" ], [ "{1, 5}", "{2, 3}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{7, 8}", "{7, 9}", "{7, 10}", "{8, 9}", "{8, 10}", "{9, 10}" ], [ "{1, 2}", "{1, 3}", "{1, 4}", "{2, 4}", "{2, 5}", "{2, 6}", "{3, 4}", "{3, 5}", "{3, 6}", "{4, 5}", "{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}" ], [ "{4, 6}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":[ -1.2e1 ], "Abelian":false }, { "IdealName":"abJ10_78_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":7.158400000000001e-2, "TimingZeroDimVars":6.3903e-2, "TimingmagmaVCompNormalize":6.527999999999999e-2, "TimingNumberOfSols":2.6122000000000006e-2, "TimingIsRadical":1.758e-3, "TimingArcColoring":6.4013e-2, "TimingObstruction":3.830000000000001e-4, "TimingComplexVolumeN":0.495375, "TimingaCuspShapeN":4.6900000000000015e-3, "TiminguValues":0.64241, "TiminguPolysN":7.1e-5, "TiminguPolys":0.803463, "TimingaCuspShape":9.028900000000001e-2, "TimingRepresentationsN":2.4931000000000002e-2, "TiminguValues_ij":0.1511, "TiminguPoly_ij":0.141916, "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)*(1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13)*(1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22)", "u*(1 + u^2 + 3*u^3 - u^4 + 4*u^5 - 2*u^6 + 4*u^7 - u^8 + 2*u^9 - u^10 + u^11)^2*(2 + 4*u + 3*u^2 + 2*u^3 - u^4 - u^5 - u^6 + 4*u^7 + 6*u^8 + 8*u^9 + 7*u^10 + 6*u^11 + 3*u^12 + u^13)", "(-1 + u)*(1 + 4*u + 4*u^2 - u^3 - 16*u^4 - 27*u^5 - 17*u^6 + 24*u^7 + 65*u^8 + 76*u^9 + 54*u^10 + 25*u^11 + 7*u^12 + u^13)*(1 + 8*u + 16*u^2 - 6*u^3 - 52*u^4 - 69*u^5 - 77*u^6 - 100*u^7 + 78*u^8 + 597*u^9 + 915*u^10 + 253*u^11 - 1113*u^12 - 1819*u^13 - 1065*u^14 + 405*u^15 + 1325*u^16 + 1284*u^17 + 760*u^18 + 302*u^19 + 80*u^20 + 13*u^21 + u^22)", "(1 + u)*(1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13)*(1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22)", "(-1 + u)*(1 + 4*u + 4*u^2 - u^3 - 16*u^4 - 27*u^5 - 17*u^6 + 24*u^7 + 65*u^8 + 76*u^9 + 54*u^10 + 25*u^11 + 7*u^12 + u^13)*(1 + 8*u + 16*u^2 - 6*u^3 - 52*u^4 - 69*u^5 - 77*u^6 - 100*u^7 + 78*u^8 + 597*u^9 + 915*u^10 + 253*u^11 - 1113*u^12 - 1819*u^13 - 1065*u^14 + 405*u^15 + 1325*u^16 + 1284*u^17 + 760*u^18 + 302*u^19 + 80*u^20 + 13*u^21 + u^22)", "(-1 + u)*(1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13)*(1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22)", "u*(1 - 2*u - u^2 + 15*u^3 - 29*u^4 + 40*u^5 - 40*u^6 + 32*u^7 - 19*u^8 + 10*u^9 - 3*u^10 + u^11)^2*(4 + 4*u - 11*u^2 + 6*u^3 - 9*u^4 + 15*u^5 - 29*u^6 + 40*u^7 - 40*u^8 + 32*u^9 - 19*u^10 + 10*u^11 - 3*u^12 + u^13)", "u*(1 + u^2 + 3*u^3 - u^4 + 4*u^5 - 2*u^6 + 4*u^7 - u^8 + 2*u^9 - u^10 + u^11)^2*(2 + 4*u + 3*u^2 + 2*u^3 - u^4 - u^5 - u^6 + 4*u^7 + 6*u^8 + 8*u^9 + 7*u^10 + 6*u^11 + 3*u^12 + u^13)", "u*(1 - 2*u - u^2 + 15*u^3 - 29*u^4 + 40*u^5 - 40*u^6 + 32*u^7 - 19*u^8 + 10*u^9 - 3*u^10 + u^11)^2*(4 + 4*u - 11*u^2 + 6*u^3 - 9*u^4 + 15*u^5 - 29*u^6 + 40*u^7 - 40*u^8 + 32*u^9 - 19*u^10 + 10*u^11 - 3*u^12 + u^13)", "(1 + u)*(1 - 2*u^2 + 3*u^3 - 3*u^5 + 5*u^6 - 7*u^8 + 4*u^9 + 4*u^10 - 3*u^11 - u^12 + u^13)*(1 - 4*u^2 + 6*u^3 - 13*u^5 + 21*u^6 - 10*u^7 - 20*u^8 + 43*u^9 - 21*u^10 - 27*u^11 + 45*u^12 - 21*u^13 - 21*u^14 + 41*u^15 - 9*u^16 - 26*u^17 + 14*u^18 + 8*u^19 - 6*u^20 - u^21 + u^22)" ], "RileyPolyC":[ "(-1 + y)*(-1 + 4*y - 4*y^2 - y^3 + 16*y^4 - 27*y^5 + 17*y^6 + 24*y^7 - 65*y^8 + 76*y^9 - 54*y^10 + 25*y^11 - 7*y^12 + y^13)*(1 - 8*y + 16*y^2 + 6*y^3 - 52*y^4 + 69*y^5 - 77*y^6 + 100*y^7 + 78*y^8 - 597*y^9 + 915*y^10 - 253*y^11 - 1113*y^12 + 1819*y^13 - 1065*y^14 - 405*y^15 + 1325*y^16 - 1284*y^17 + 760*y^18 - 302*y^19 + 80*y^20 - 13*y^21 + y^22)", "y*(-1 - 2*y + y^2 + 15*y^3 + 29*y^4 + 40*y^5 + 40*y^6 + 32*y^7 + 19*y^8 + 10*y^9 + 3*y^10 + y^11)^2*(-4 + 4*y + 11*y^2 + 6*y^3 + 9*y^4 + 15*y^5 + 29*y^6 + 40*y^7 + 40*y^8 + 32*y^9 + 19*y^10 + 10*y^11 + 3*y^12 + y^13)", "(-1 + y)*(-1 + 8*y + 8*y^2 - 53*y^3 - 4*y^4 + 117*y^5 + 97*y^6 + 312*y^7 + 131*y^8 + 140*y^9 + 22*y^10 + 21*y^11 + y^12 + y^13)*(1 - 32*y + 248*y^2 - 750*y^3 + 1168*y^4 - 3179*y^5 + 14187*y^6 - 40392*y^7 + 75502*y^8 - 103693*y^9 + 114871*y^10 - 113973*y^11 + 106667*y^12 - 83017*y^13 + 53599*y^14 - 28621*y^15 + 12633*y^16 - 4608*y^17 + 1404*y^18 - 338*y^19 + 68*y^20 - 9*y^21 + y^22)", "(-1 + y)*(-1 + 4*y - 4*y^2 - y^3 + 16*y^4 - 27*y^5 + 17*y^6 + 24*y^7 - 65*y^8 + 76*y^9 - 54*y^10 + 25*y^11 - 7*y^12 + y^13)*(1 - 8*y + 16*y^2 + 6*y^3 - 52*y^4 + 69*y^5 - 77*y^6 + 100*y^7 + 78*y^8 - 597*y^9 + 915*y^10 - 253*y^11 - 1113*y^12 + 1819*y^13 - 1065*y^14 - 405*y^15 + 1325*y^16 - 1284*y^17 + 760*y^18 - 302*y^19 + 80*y^20 - 13*y^21 + y^22)", "(-1 + y)*(-1 + 8*y + 8*y^2 - 53*y^3 - 4*y^4 + 117*y^5 + 97*y^6 + 312*y^7 + 131*y^8 + 140*y^9 + 22*y^10 + 21*y^11 + y^12 + y^13)*(1 - 32*y + 248*y^2 - 750*y^3 + 1168*y^4 - 3179*y^5 + 14187*y^6 - 40392*y^7 + 75502*y^8 - 103693*y^9 + 114871*y^10 - 113973*y^11 + 106667*y^12 - 83017*y^13 + 53599*y^14 - 28621*y^15 + 12633*y^16 - 4608*y^17 + 1404*y^18 - 338*y^19 + 68*y^20 - 9*y^21 + y^22)", "(-1 + y)*(-1 + 4*y - 4*y^2 - y^3 + 16*y^4 - 27*y^5 + 17*y^6 + 24*y^7 - 65*y^8 + 76*y^9 - 54*y^10 + 25*y^11 - 7*y^12 + y^13)*(1 - 8*y + 16*y^2 + 6*y^3 - 52*y^4 + 69*y^5 - 77*y^6 + 100*y^7 + 78*y^8 - 597*y^9 + 915*y^10 - 253*y^11 - 1113*y^12 + 1819*y^13 - 1065*y^14 - 405*y^15 + 1325*y^16 - 1284*y^17 + 760*y^18 - 302*y^19 + 80*y^20 - 13*y^21 + y^22)", "y*(-1 + 6*y - 3*y^2 + 87*y^3 + 189*y^4 + 168*y^5 + 148*y^6 + 160*y^7 + 119*y^8 + 50*y^9 + 11*y^10 + y^11)^2*(-16 + 104*y - y^2 + 190*y^3 + 101*y^4 - 289*y^5 - 291*y^6 - 40*y^7 + 116*y^8 + 160*y^9 + 119*y^10 + 50*y^11 + 11*y^12 + y^13)", "y*(-1 - 2*y + y^2 + 15*y^3 + 29*y^4 + 40*y^5 + 40*y^6 + 32*y^7 + 19*y^8 + 10*y^9 + 3*y^10 + y^11)^2*(-4 + 4*y + 11*y^2 + 6*y^3 + 9*y^4 + 15*y^5 + 29*y^6 + 40*y^7 + 40*y^8 + 32*y^9 + 19*y^10 + 10*y^11 + 3*y^12 + y^13)", "y*(-1 + 6*y - 3*y^2 + 87*y^3 + 189*y^4 + 168*y^5 + 148*y^6 + 160*y^7 + 119*y^8 + 50*y^9 + 11*y^10 + y^11)^2*(-16 + 104*y - y^2 + 190*y^3 + 101*y^4 - 289*y^5 - 291*y^6 - 40*y^7 + 116*y^8 + 160*y^9 + 119*y^10 + 50*y^11 + 11*y^12 + y^13)", "(-1 + y)*(-1 + 4*y - 4*y^2 - y^3 + 16*y^4 - 27*y^5 + 17*y^6 + 24*y^7 - 65*y^8 + 76*y^9 - 54*y^10 + 25*y^11 - 7*y^12 + y^13)*(1 - 8*y + 16*y^2 + 6*y^3 - 52*y^4 + 69*y^5 - 77*y^6 + 100*y^7 + 78*y^8 - 597*y^9 + 915*y^10 - 253*y^11 - 1113*y^12 + 1819*y^13 - 1065*y^14 - 405*y^15 + 1325*y^16 - 1284*y^17 + 760*y^18 - 302*y^19 + 80*y^20 - 13*y^21 + y^22)" ] }, "GeometricRepresentation":[ 1.25021e1, [ "J10_78_0", 1, "{11, 12}" ] ] } }