{ "Index":2662, "Name":"12n_0573", "RolfsenName":"12n_0573", "DTname":"12n_0573", "Status":"initialized*Just", "Diagram":{ "Scode":"{4, 12, -19, -17, -15, 2, 22, -5, -7, -9, 24, 14}", "Acode":"{3, 7, -10, -9, -8, 2, 12, -3, -4, -5, 1, 8}", "PDcode":[ "{1, 5, 2, 4}", "{3, 13, 4, 12}", "{16, 5, 17, 6}", "{18, 7, 19, 8}", "{20, 9, 21, 10}", "{11, 3, 12, 2}", "{13, 23, 14, 22}", "{10, 15, 11, 16}", "{8, 17, 9, 18}", "{6, 19, 7, 20}", "{21, 1, 22, 24}", "{23, 15, 24, 14}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{3, 10, 7}", [], [ "{3, -10, 4, 1}", "{3, 7, 2, 2}", "{2, 3, 1, 2}", "{7, 2, 6, 2}", "{10, -4, 9, 2}", "{4, -9, 5, 1}", "{10, -5, 11, 1}", "{9, -3, 8, 2}", "{1, 8, 12, 2}" ], "{5, 11}", "{7}", 7 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a - b + a*b^2 + 3*u^2 - 3*u^4 - 8*u^6 - 5*u^8 - u^10", "-b + b^3 - 3*u^2 + 5*u^6 + 4*u^8 + u^10", "-1 + a*b + b^2 + 2*a*b*u + b^2*u - a^2*b^2*u - a*b^3*u - 2*u^2 + 2*a*b*u^2 + 6*b^2*u^2 + 4*u^3 - 4*a*b*u^3 - 6*b^2*u^3 + 2*a^2*b^2*u^3 + 6*a*b^3*u^3 + 4*b^4*u^3 - 3*u^4 + 3*a*b*u^4 + 7*b^2*u^4 + 4*u^5 - 6*a*b*u^5 - 7*b^2*u^5 + 3*a^2*b^2*u^5 + 7*a*b^3*u^5 + 4*b^4*u^5 - u^6 + a*b*u^6 + 2*b^2*u^6 + u^7 - 2*a*b*u^7 - 2*b^2*u^7 + a^2*b^2*u^7 + 2*a*b^3*u^7 + b^4*u^7", "b^2 + u + b^2*u - a*b^3*u + u^2 - a*b*u^2 - 3*b^2*u^2 - 2*u^3 - 2*b^2*u^3 + 2*a*b^3*u^3 + 4*b^4*u^3 + 2*u^4 - 2*a*b*u^4 - 5*b^2*u^4 - 3*u^5 - 3*b^2*u^5 + 3*a*b^3*u^5 + 4*b^4*u^5 + u^6 - a*b*u^6 - 2*b^2*u^6 - u^7 - b^2*u^7 + a*b^3*u^7 + b^4*u^7" ], "TimingForPrimaryIdeals":0.146941 }, "v":{ "CheckEq":[ "1 - a - b + a*b^2", "-b + b^3", "b^2 + b^4*v", "-1 + a*b + b^2 + v - b^2*v + a*b^3*v + b^4*v + b^2*v^2" ], "TimingForPrimaryIdeals":0.10072 }, "PrimaryIdeals":[ { "IdealName":"J12n_573_0", "Generators":[ "1 + b - u + 5*u^2 + u^3 - 3*u^4 + u^5 - 11*u^6 - 6*u^7 + 4*u^8 - 15*u^9 + 22*u^10 - 14*u^11 + 19*u^12 - 6*u^13 + 7*u^14 - u^15 + u^16", "-6 + 2*a + 7*u - 23*u^2 + 4*u^3 + 16*u^4 - 10*u^5 + 50*u^6 + 17*u^7 - 36*u^8 + 97*u^9 - 151*u^10 + 131*u^11 - 146*u^12 + 82*u^13 - 66*u^14 + 25*u^15 - 14*u^16 + 3*u^17 - u^18", "-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.151128, "TimingZeroDimVars":0.43097, "TimingmagmaVCompNormalize":0.432275, "TimingNumberOfSols":0.44511, "TimingIsRadical":3.2958e-2, "TimingArcColoring":0.678902, "TimingObstruction":4.3512e-2, "TimingComplexVolumeN":2.2022857000000002e1, "TimingaCuspShapeN":0.127139, "TiminguValues":0.785475, "TiminguPolysN":3.9464e-2, "TiminguPolys":1.046331, "TimingaCuspShape":0.134998, "TimingRepresentationsN":0.20325, "TiminguValues_ij":1.232155, "TiminguPoly_ij":4.031544, "TiminguPolys_ij_N":0.113119 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":19, "IsRadical":true, "ArcColoring":[ [ "(3*u - 5*u^2 + 4*u^3 - 2*u^4 + 8*u^6 + 5*u^7 - 2*u^8 + 21*u^9 - 31*u^10 + 29*u^11 - 42*u^12 + 20*u^13 - 26*u^14 + 7*u^15 - 8*u^16 + u^17 - u^18)\/2", "1 - 2*u + 6*u^2 - 6*u^3 + u^4 + u^5 - 9*u^6 + 8*u^8 - 29*u^9 + 46*u^10 - 52*u^11 + 56*u^12 - 39*u^13 + 32*u^14 - 14*u^15 + 9*u^16 - 2*u^17 + u^18" ], [ "(-2 + 7*u - 17*u^2 + 16*u^3 - 4*u^4 - 2*u^5 + 26*u^6 + 5*u^7 - 18*u^8 + 79*u^9 - 123*u^10 + 133*u^11 - 154*u^12 + 98*u^13 - 90*u^14 + 35*u^15 - 26*u^16 + 5*u^17 - 3*u^18)\/2", "1 - 2*u + 6*u^2 - 6*u^3 + u^4 + u^5 - 9*u^6 + 8*u^8 - 29*u^9 + 46*u^10 - 52*u^11 + 56*u^12 - 39*u^13 + 32*u^14 - 14*u^15 + 9*u^16 - 2*u^17 + u^18" ], "{1, 0}", [ 1, "-u^2" ], [ "1 + u^2", "-2*u^2 - u^4" ], [ "1 + 3*u^2 - 3*u^4 - 8*u^6 - 5*u^8 - u^10", "-3*u^2 + 5*u^6 + 4*u^8 + u^10" ], [ "(6 - 7*u + 23*u^2 - 4*u^3 - 16*u^4 + 10*u^5 - 50*u^6 - 17*u^7 + 36*u^8 - 97*u^9 + 151*u^10 - 131*u^11 + 146*u^12 - 82*u^13 + 66*u^14 - 25*u^15 + 14*u^16 - 3*u^17 + u^18)\/2", "-1 + u - 5*u^2 - u^3 + 3*u^4 - u^5 + 11*u^6 + 6*u^7 - 4*u^8 + 15*u^9 - 22*u^10 + 14*u^11 - 19*u^12 + 6*u^13 - 7*u^14 + u^15 - u^16" ], [ "-2*u - u^3", "u + u^3" ], [ "-u", "u + u^3" ], [ 0, "u" ], [ "u + 2*u^3 + u^5", "u - 2*u^3 - 3*u^5 - u^7" ], [ "(4 - 5*u + 17*u^2 + 4*u^4 + 10*u^5 - 26*u^6 - 25*u^7 + 18*u^8 - 105*u^9 + 123*u^10 - 145*u^11 + 154*u^12 - 100*u^13 + 90*u^14 - 35*u^15 + 26*u^16 - 5*u^17 + 3*u^18)\/2", "-1 + 3*u - 6*u^2 + u^3 - u^4 - 7*u^5 + 9*u^6 + 4*u^7 - 8*u^8 + 38*u^9 - 46*u^10 + 57*u^11 - 56*u^12 + 40*u^13 - 32*u^14 + 14*u^15 - 9*u^16 + 2*u^17 - u^18" ] ], "Obstruction":-1, "ComplexVolumeN":[ "0.619243 + 0.825287*I", "0.619243 - 0.825287*I", "11.9496 + 7.7615*I", "11.9496 - 7.7615*I", 2.21133, "2.7953 - 4.62119*I", "2.7953 + 4.62119*I", "-1.7911 + 3.8228*I", "-1.7911 - 3.8228*I", "8.26951 - 2.76755*I", "8.26951 + 2.76755*I", "-5.42437 + 1.46948*I", "-5.42437 - 1.46948*I", "-2.18836 - 7.9472*I", "-2.18836 + 7.9472*I", "7.628 + 12.6384*I", "7.628 - 12.6384*I", "0.065587 + 1.13071*I", "0.065587 - 1.13071*I" ], "uPolysN":[ "1 + 7*u + 21*u^2 + 57*u^3 + 167*u^4 + 381*u^5 + 726*u^6 + 1097*u^7 + 1271*u^8 + 1676*u^9 + 1288*u^10 + 1472*u^11 + 801*u^12 + 729*u^13 + 282*u^14 + 189*u^15 + 48*u^16 + 23*u^17 + 3*u^18 + u^19", "-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19", "-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19", "-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19", "562 + 2406*u + 7461*u^2 + 16865*u^3 + 30946*u^4 + 51326*u^5 + 76050*u^6 + 100026*u^7 + 116445*u^8 + 117670*u^9 + 102261*u^10 + 76345*u^11 + 48391*u^12 + 26064*u^13 + 11768*u^14 + 4220*u^15 + 1113*u^16 + 198*u^17 + 21*u^18 + u^19", "-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19", "-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19", "-10 + 14*u - 29*u^2 - 11*u^3 + 104*u^4 - 42*u^5 - 218*u^6 - 20*u^7 + 111*u^8 + 44*u^9 + 67*u^10 + 3*u^11 - 103*u^12 - 12*u^13 + 68*u^14 + 12*u^15 - 23*u^16 - 6*u^17 + 3*u^18 + u^19", "-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19", "-10 + 14*u - 29*u^2 - 11*u^3 + 104*u^4 - 42*u^5 - 218*u^6 - 20*u^7 + 111*u^8 + 44*u^9 + 67*u^10 + 3*u^11 - 103*u^12 - 12*u^13 + 68*u^14 + 12*u^15 - 23*u^16 - 6*u^17 + 3*u^18 + u^19", "1 + 7*u + 21*u^2 + 57*u^3 + 167*u^4 + 381*u^5 + 726*u^6 + 1097*u^7 + 1271*u^8 + 1676*u^9 + 1288*u^10 + 1472*u^11 + 801*u^12 + 729*u^13 + 282*u^14 + 189*u^15 + 48*u^16 + 23*u^17 + 3*u^18 + u^19", "-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19" ], "uPolys":[ "1 + 7*u + 21*u^2 + 57*u^3 + 167*u^4 + 381*u^5 + 726*u^6 + 1097*u^7 + 1271*u^8 + 1676*u^9 + 1288*u^10 + 1472*u^11 + 801*u^12 + 729*u^13 + 282*u^14 + 189*u^15 + 48*u^16 + 23*u^17 + 3*u^18 + u^19", "-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19", "-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19", "-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19", "562 + 2406*u + 7461*u^2 + 16865*u^3 + 30946*u^4 + 51326*u^5 + 76050*u^6 + 100026*u^7 + 116445*u^8 + 117670*u^9 + 102261*u^10 + 76345*u^11 + 48391*u^12 + 26064*u^13 + 11768*u^14 + 4220*u^15 + 1113*u^16 + 198*u^17 + 21*u^18 + u^19", "-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19", "-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19", "-10 + 14*u - 29*u^2 - 11*u^3 + 104*u^4 - 42*u^5 - 218*u^6 - 20*u^7 + 111*u^8 + 44*u^9 + 67*u^10 + 3*u^11 - 103*u^12 - 12*u^13 + 68*u^14 + 12*u^15 - 23*u^16 - 6*u^17 + 3*u^18 + u^19", "-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19", "-10 + 14*u - 29*u^2 - 11*u^3 + 104*u^4 - 42*u^5 - 218*u^6 - 20*u^7 + 111*u^8 + 44*u^9 + 67*u^10 + 3*u^11 - 103*u^12 - 12*u^13 + 68*u^14 + 12*u^15 - 23*u^16 - 6*u^17 + 3*u^18 + u^19", "1 + 7*u + 21*u^2 + 57*u^3 + 167*u^4 + 381*u^5 + 726*u^6 + 1097*u^7 + 1271*u^8 + 1676*u^9 + 1288*u^10 + 1472*u^11 + 801*u^12 + 729*u^13 + 282*u^14 + 189*u^15 + 48*u^16 + 23*u^17 + 3*u^18 + u^19", "-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19" ], "aCuspShape":"-2*(-4 + 10*u - 9*u^2 - u^3 + 7*u^4 - 21*u^5 + 13*u^6 + 5*u^7 - 34*u^8 + 67*u^9 - 79*u^10 + 82*u^11 - 62*u^12 + 44*u^13 - 22*u^14 + 11*u^15 - 3*u^16 + u^17)", "RepresentationsN":[ [ "u->-0.304317 + 0.98193 I", "a->-0.7364 + 1.23198 I", "b->0.534624 - 0.866654 I" ], [ "u->-0.304317 - 0.98193 I", "a->-0.7364 - 1.23198 I", "b->0.534624 + 0.866654 I" ], [ "u->0.929404 + 0.054061 I", "a->-1.85707 + 2.86205 I", "b->1.16834 - 0.9747 I" ], [ "u->0.929404 - 0.054061 I", "a->-1.85707 - 2.86205 I", "b->1.16834 + 0.9747 I" ], [ "u->0.744027", "a->0.660757", "b->-0.57759" ], [ "u->-0.689684 + 0.229296 I", "a->0.50396 + 2.44275 I", "b->-0.768036 - 0.810356 I" ], [ "u->-0.689684 - 0.229296 I", "a->0.50396 - 2.44275 I", "b->-0.768036 + 0.810356 I" ], [ "u->0.315935 + 1.2827 I", "a->-0.038879 + 0.454563 I", "b->0.606078 + 0.079526 I" ], [ "u->0.315935 - 1.2827 I", "a->-0.038879 - 0.454563 I", "b->0.606078 - 0.079526 I" ], [ "u->0.473566 + 1.2467 I", "a->1.69399 + 1.302 I", "b->-1.12434 - 1.01004 I" ], [ "u->0.473566 - 1.2467 I", "a->1.69399 - 1.302 I", "b->-1.12434 + 1.01004 I" ], [ "u->-0.000906 + 1.3442 I", "a->-0.628189 - 0.110568 I", "b->-0.631711 + 0.410114 I" ], [ "u->-0.000906 - 1.3442 I", "a->-0.628189 + 0.110568 I", "b->-0.631711 - 0.410114 I" ], [ "u->-0.250312 + 1.34913 I", "a->0.61482 - 1.58026 I", "b->0.876351 + 0.702623 I" ], [ "u->-0.250312 - 1.34913 I", "a->0.61482 + 1.58026 I", "b->0.876351 - 0.702623 I" ], [ "u->0.435648 + 1.32878 I", "a->0.25932 - 2.69648 I", "b->-1.19156 + 0.93252 I" ], [ "u->0.435648 - 1.32878 I", "a->0.25932 + 2.69648 I", "b->-1.19156 - 0.93252 I" ], [ "u->0.218652 + 0.470395 I", "a->0.358071 + 0.97162 I", "b->0.31905 - 0.558488 I" ], [ "u->0.218652 - 0.470395 I", "a->0.358071 - 0.97162 I", "b->0.31905 + 0.558488 I" ] ], "Epsilon":1.25844, "uPolys_ij":[ "-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19", "-4 - 16*u - 21*u^2 + 125*u^3 + 156*u^4 - 422*u^5 - 686*u^6 + 716*u^7 + 2179*u^8 + 904*u^9 - 2033*u^10 - 2979*u^11 - 1167*u^12 + 936*u^13 + 1536*u^14 + 1020*u^15 + 407*u^16 + 102*u^17 + 15*u^18 + u^19", "-10 + 14*u - 29*u^2 - 11*u^3 + 104*u^4 - 42*u^5 - 218*u^6 - 20*u^7 + 111*u^8 + 44*u^9 + 67*u^10 + 3*u^11 - 103*u^12 - 12*u^13 + 68*u^14 + 12*u^15 - 23*u^16 - 6*u^17 + 3*u^18 + u^19", "-128 - 1408*u - 6507*u^2 - 16347*u^3 - 23152*u^4 - 15428*u^5 + 1182*u^6 + 7322*u^7 + 119*u^8 - 4848*u^9 - 883*u^10 + 3659*u^11 + 3069*u^12 + 500*u^13 - 544*u^14 - 318*u^15 - 33*u^16 + 24*u^17 + 9*u^18 + u^19", "-32 + 160*u + 1040*u^2 + 2816*u^3 + 5928*u^4 + 12152*u^5 + 18940*u^6 + 26400*u^7 + 34230*u^8 + 32402*u^9 + 13515*u^10 + 5015*u^11 - 1620*u^12 - 1954*u^13 - 793*u^14 + 49*u^15 + 111*u^16 + 48*u^17 + 9*u^18 + u^19", "-100 - 384*u + 931*u^2 + 617*u^3 - 20876*u^4 + 56558*u^5 - 67990*u^6 + 26148*u^7 + 40387*u^8 - 72808*u^9 + 52879*u^10 - 12991*u^11 - 12167*u^12 + 16072*u^13 - 10000*u^14 + 4040*u^15 - 1105*u^16 + 198*u^17 - 21*u^18 + u^19", "562 + 2406*u + 7461*u^2 + 16865*u^3 + 30946*u^4 + 51326*u^5 + 76050*u^6 + 100026*u^7 + 116445*u^8 + 117670*u^9 + 102261*u^10 + 76345*u^11 + 48391*u^12 + 26064*u^13 + 11768*u^14 + 4220*u^15 + 1113*u^16 + 198*u^17 + 21*u^18 + u^19", "-1024 - 2048*u + 11008*u^2 + 22528*u^3 - 28608*u^4 - 72960*u^5 + 560*u^6 + 104064*u^7 + 42204*u^8 - 51808*u^9 - 29403*u^10 + 12409*u^11 + 7530*u^12 - 1972*u^13 - 937*u^14 + 283*u^15 + 59*u^16 - 16*u^17 - 3*u^18 + u^19", "186838 + 2370758*u + 6601283*u^2 + 13508777*u^3 + 8719028*u^4 + 10896206*u^5 - 1407300*u^6 + 1555170*u^7 - 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117*u^3 + 2131*u^4 - 4759*u^5 - 40298*u^6 + 348645*u^7 - 1119469*u^8 + 2082552*u^9 - 2559516*u^10 + 2191780*u^11 - 1336523*u^12 + 584109*u^13 - 182478*u^14 + 40321*u^15 - 6156*u^16 + 619*u^17 - 37*u^18 + u^19", "1 + 7*u + 21*u^2 + 57*u^3 + 167*u^4 + 381*u^5 + 726*u^6 + 1097*u^7 + 1271*u^8 + 1676*u^9 + 1288*u^10 + 1472*u^11 + 801*u^12 + 729*u^13 + 282*u^14 + 189*u^15 + 48*u^16 + 23*u^17 + 3*u^18 + u^19", "-1003 - 26513*u - 148293*u^2 + 385141*u^3 - 26910*u^4 - 393196*u^5 + 102903*u^6 + 230632*u^7 - 108452*u^8 - 57141*u^9 + 38262*u^10 + 8545*u^11 - 7975*u^12 - 798*u^13 + 1051*u^14 + 90*u^15 - 86*u^16 - 9*u^17 + 5*u^18 + u^19", "-512 - 2816*u^2 + 12544*u^3 + 26880*u^4 - 43856*u^5 - 41208*u^6 + 227888*u^7 + 596490*u^8 + 879733*u^9 + 887488*u^10 + 658753*u^11 + 365030*u^12 + 152835*u^13 + 48344*u^14 + 11575*u^15 + 2056*u^16 + 263*u^17 + 22*u^18 + u^19", "790139 - 3317749*u + 532635*u^2 + 10798153*u^3 - 7616018*u^4 + 366184*u^5 + 24141079*u^6 - 12753492*u^7 - 16618680*u^8 + 27932683*u^9 - 23485778*u^10 + 11085813*u^11 - 2753193*u^12 + 231970*u^13 + 25595*u^14 + 22178*u^15 + 2466*u^16 + 331*u^17 + 17*u^18 + u^19" ], "GeometricComponent":"{16, 17}", "uPolys_ij_N":[ "-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19", "-4 - 16*u - 21*u^2 + 125*u^3 + 156*u^4 - 422*u^5 - 686*u^6 + 716*u^7 + 2179*u^8 + 904*u^9 - 2033*u^10 - 2979*u^11 - 1167*u^12 + 936*u^13 + 1536*u^14 + 1020*u^15 + 407*u^16 + 102*u^17 + 15*u^18 + u^19", "-10 + 14*u - 29*u^2 - 11*u^3 + 104*u^4 - 42*u^5 - 218*u^6 - 20*u^7 + 111*u^8 + 44*u^9 + 67*u^10 + 3*u^11 - 103*u^12 - 12*u^13 + 68*u^14 + 12*u^15 - 23*u^16 - 6*u^17 + 3*u^18 + u^19", "-128 - 1408*u - 6507*u^2 - 16347*u^3 - 23152*u^4 - 15428*u^5 + 1182*u^6 + 7322*u^7 + 119*u^8 - 4848*u^9 - 883*u^10 + 3659*u^11 + 3069*u^12 + 500*u^13 - 544*u^14 - 318*u^15 - 33*u^16 + 24*u^17 + 9*u^18 + u^19", "-32 + 160*u + 1040*u^2 + 2816*u^3 + 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635261928*u^6 + 308338674*u^7 - 194931013*u^8 - 242506564*u^9 - 76961365*u^10 + 24164973*u^11 + 23395421*u^12 + 7185956*u^13 + 659504*u^14 + 42084*u^15 + 1925*u^16 + 238*u^17 + 21*u^18 + u^19", "-1 - u - 3*u^2 + 53*u^3 + 29*u^4 + 435*u^5 + 368*u^6 + 773*u^7 + 401*u^8 + 316*u^9 - 850*u^10 - 1190*u^11 - 805*u^12 + 369*u^13 + 560*u^14 + 243*u^15 - 20*u^16 - 15*u^17 + u^18 + u^19", "-125473 + 660323*u - 1377787*u^2 + 1405475*u^3 + 725204*u^4 - 3127048*u^5 - 296685*u^6 + 1716466*u^7 + 1661260*u^8 + 1442215*u^9 + 713744*u^10 + 347713*u^11 + 127459*u^12 + 41252*u^13 + 7879*u^14 + 4368*u^15 + 238*u^16 + 7*u^17 + 3*u^18 + u^19", "103 + 3761*u + 33761*u^2 + 235229*u^3 + 719940*u^4 + 1506766*u^5 + 2538459*u^6 + 3286356*u^7 + 2971876*u^8 + 1816379*u^9 + 700266*u^10 + 162525*u^11 + 14807*u^12 + 1948*u^13 + 1065*u^14 + 946*u^15 - 324*u^16 + 89*u^17 - 11*u^18 + u^19", "10 - 118*u + 559*u^2 - 1261*u^3 + 952*u^4 + 1862*u^5 - 5318*u^6 + 4152*u^7 + 2847*u^8 - 7972*u^9 + 3301*u^10 + 7851*u^11 - 15039*u^12 + 13742*u^13 - 8058*u^14 + 3244*u^15 - 903*u^16 + 168*u^17 - 19*u^18 + u^19", "-8881 + 74809*u - 345943*u^2 + 443215*u^3 - 690982*u^4 + 950930*u^5 - 834771*u^6 + 601334*u^7 - 368318*u^8 + 246251*u^9 - 149310*u^10 + 89675*u^11 - 38927*u^12 + 19332*u^13 - 2647*u^14 + 778*u^15 - 118*u^16 + 33*u^17 - 5*u^18 + u^19", "-175 - 1089*u + 703*u^2 + 18593*u^3 + 57193*u^4 + 139363*u^5 + 193604*u^6 + 242271*u^7 + 164837*u^8 + 129776*u^9 + 40670*u^10 + 57490*u^11 + 6007*u^12 + 1405*u^13 - 584*u^14 + 493*u^15 - 226*u^16 + 25*u^17 - 5*u^18 + u^19", "-28 + 64*u - 412*u^2 + 772*u^3 - 1354*u^4 + 1482*u^5 - 1038*u^6 + 540*u^7 + 123*u^8 + 345*u^9 - 493*u^10 + 1225*u^11 - 869*u^12 + 813*u^13 - 328*u^14 + 217*u^15 - 52*u^16 + 25*u^17 - 3*u^18 + u^19", "512 - 3072*u + 8448*u^2 - 12672*u^3 + 8800*u^4 + 3648*u^5 - 14856*u^6 + 14788*u^7 - 4520*u^8 - 5683*u^9 + 7862*u^10 - 3115*u^11 - 2288*u^12 + 4275*u^13 - 3302*u^14 + 1619*u^15 - 538*u^16 + 119*u^17 - 16*u^18 + u^19", "1 + 7*u - 23*u^2 + 117*u^3 + 2131*u^4 - 4759*u^5 - 40298*u^6 + 348645*u^7 - 1119469*u^8 + 2082552*u^9 - 2559516*u^10 + 2191780*u^11 - 1336523*u^12 + 584109*u^13 - 182478*u^14 + 40321*u^15 - 6156*u^16 + 619*u^17 - 37*u^18 + u^19", "1 + 7*u + 21*u^2 + 57*u^3 + 167*u^4 + 381*u^5 + 726*u^6 + 1097*u^7 + 1271*u^8 + 1676*u^9 + 1288*u^10 + 1472*u^11 + 801*u^12 + 729*u^13 + 282*u^14 + 189*u^15 + 48*u^16 + 23*u^17 + 3*u^18 + u^19", "-1003 - 26513*u - 148293*u^2 + 385141*u^3 - 26910*u^4 - 393196*u^5 + 102903*u^6 + 230632*u^7 - 108452*u^8 - 57141*u^9 + 38262*u^10 + 8545*u^11 - 7975*u^12 - 798*u^13 + 1051*u^14 + 90*u^15 - 86*u^16 - 9*u^17 + 5*u^18 + u^19", "-512 - 2816*u^2 + 12544*u^3 + 26880*u^4 - 43856*u^5 - 41208*u^6 + 227888*u^7 + 596490*u^8 + 879733*u^9 + 887488*u^10 + 658753*u^11 + 365030*u^12 + 152835*u^13 + 48344*u^14 + 11575*u^15 + 2056*u^16 + 263*u^17 + 22*u^18 + u^19", "790139 - 3317749*u + 532635*u^2 + 10798153*u^3 - 7616018*u^4 + 366184*u^5 + 24141079*u^6 - 12753492*u^7 - 16618680*u^8 + 27932683*u^9 - 23485778*u^10 + 11085813*u^11 - 2753193*u^12 + 231970*u^13 + 25595*u^14 + 22178*u^15 + 2466*u^16 + 331*u^17 + 17*u^18 + u^19" ], "Multiplicity":1, "ij_list":[ [ "{3, 10}", "{4, 9}", "{4, 10}", "{5, 9}" ], [ "{3, 4}", "{4, 5}", "{9, 10}" ], [ "{3, 8}", "{3, 9}", "{5, 10}", "{5, 11}" ], [ "{3, 5}", "{8, 10}", "{9, 11}" ], [ "{4, 8}", "{4, 11}" ], [ "{8, 9}", "{10, 11}" ], [ "{3, 11}", "{5, 8}", "{6, 8}" ], [ "{1, 7}", "{3, 6}", "{8, 11}" ], [ "{6, 10}" ], [ "{4, 6}" ], [ "{6, 9}" ], [ "{5, 6}" ], [ "{1, 6}", "{7, 11}" ], [ "{2, 9}" ], [ "{1, 5}", "{1, 9}", "{2, 8}", "{6, 12}" ], [ "{1, 8}", "{2, 6}", "{2, 7}", "{3, 7}", "{7, 12}", "{8, 12}" ], [ "{5, 12}" ], [ "{9, 12}" ], [ "{4, 12}" ], [ "{2, 5}" ], [ "{7, 10}" ], [ "{6, 11}" ], [ "{1, 4}" ], [ "{2, 4}" ], [ "{5, 7}" ], [ "{2, 12}" ], [ "{2, 10}" ], [ "{4, 7}" ], [ "{1, 10}" ], [ "{3, 12}" ], [ "{1, 2}", "{11, 12}" ], [ "{1, 3}", "{1, 11}", "{1, 12}", "{2, 3}", "{6, 7}", "{7, 8}" ], [ "{10, 12}" ], [ "{7, 9}" ], [ "{2, 11}" ] ], 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- 2*u^3 + 8*u^4 + 6*a*u^4 - u^5 + 5*u^6 + 6*a*u^6 + u^8 + 2*a*u^8", "-1 - 3*u + 3*u^4 + 5*u^5 + 3*u^6 + 4*u^7 + u^8 + u^9" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":0.145469, "TimingZeroDimVars":0.434408, "TimingmagmaVCompNormalize":0.43569, "TimingNumberOfSols":0.335434, "TimingIsRadical":2.6445e-2, "TimingArcColoring":0.689778, "TimingObstruction":2.9367e-2, "TimingComplexVolumeN":2.0743087e1, "TimingaCuspShapeN":0.104119, "TiminguValues":0.794891, "TiminguPolysN":2.8866000000000006e-2, "TiminguPolys":1.158404, "TimingaCuspShape":0.151595, "TimingRepresentationsN":0.164484, "TiminguValues_ij":1.231051, "TiminguPolys_ij_N":9.8183e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":18, "IsRadical":true, "ArcColoring":[ [ "(231 + 249*a + 218*u + 228*a*u + 304*u^2 + 160*a*u^2 + 34*u^3 - 152*a*u^3 - 537*u^4 - 495*a*u^4 - 201*u^5 - 304*a*u^5 - 650*u^6 - 512*a*u^6 - 172*u^7 - 133*a*u^7 - 229*u^8 - 163*a*u^8)\/269", "(-300 + 12*a + 192*u - 83*a*u + 248*u^2 - 96*a*u^2 - 128*u^3 - 124*a*u^3 + 376*u^4 + 28*a*u^4 - 256*u^5 + 21*a*u^5 + 121*u^6 + 92*a*u^6 - 112*u^7 + 26*a*u^7 - 24*u^8 + 44*a*u^8)\/269" ], [ "(531 + 237*a + 26*u + 311*a*u + 56*u^2 + 256*a*u^2 + 162*u^3 - 28*a*u^3 - 913*u^4 - 523*a*u^4 + 55*u^5 - 325*a*u^5 - 771*u^6 - 604*a*u^6 - 60*u^7 - 159*a*u^7 - 205*u^8 - 207*a*u^8)\/269", "(-300 + 12*a + 192*u - 83*a*u + 248*u^2 - 96*a*u^2 - 128*u^3 - 124*a*u^3 + 376*u^4 + 28*a*u^4 - 256*u^5 + 21*a*u^5 + 121*u^6 + 92*a*u^6 - 112*u^7 + 26*a*u^7 - 24*u^8 + 44*a*u^8)\/269" ], "{1, 0}", [ 1, "-u^2" ], [ "1 + u^2", "-2*u^2 - u^4" ], [ "2 + 2*u - 6*u^4 - 2*u^5 - 6*u^6 - u^7 - 2*u^8", "-1 - 2*u + 3*u^4 + 2*u^5 + 3*u^6 + u^7 + u^8" ], [ "a", "(237 - 31*a + 42*u + 192*a*u + 256*u^2 - 21*a*u^2 - 297*u^3 - 128*a*u^3 - 523*u^4 - 162*a*u^4 - 325*u^5 - 256*a*u^5 - 604*u^6 - 148*a*u^6 - 159*u^7 - 112*a*u^7 - 207*u^8 - 24*a*u^8)\/269" ], [ "-2*u - u^3", "u + u^3" ], [ "-u", "u + u^3" ], [ 0, "u" ], [ "u + 2*u^3 + u^5", "u - 2*u^3 - 3*u^5 - u^7" ], [ "(-7 + 237*a + 26*u + 42*a*u + 863*u^2 + 256*a*u^2 + 162*u^3 - 297*a*u^3 + 432*u^4 - 523*a*u^4 + 55*u^5 - 325*a*u^5 - 233*u^6 - 604*a*u^6 - 60*u^7 - 159*a*u^7 - 205*u^8 - 207*a*u^8)\/269", -1 ] ], "Obstruction":-1, "ComplexVolumeN":[ 1.2902800000000001e1, 1.2902800000000001e1, "-6.13776 - 1.55423*I", "-6.13776 - 1.55423*I", "-6.13776 + 1.55423*I", "-6.13776 + 1.55423*I", 2.21133, 2.21133, "-1.5318 + 3.86354*I", "-1.5318 + 3.86354*I", "-1.5318 - 3.86354*I", "-1.5318 - 3.86354*I", "8.87899 - 4.99486*I", "8.87899 - 4.99486*I", "8.87899 + 4.99486*I", "8.87899 + 4.99486*I", -2.72863, -2.72863 ], "uPolysN":[ "1 + 4*u - 18*u^2 - 109*u^3 - 31*u^4 + 913*u^5 + 2967*u^6 + 5001*u^7 + 5593*u^8 + 4734*u^9 + 3380*u^10 + 2117*u^11 + 1125*u^12 + 510*u^13 + 210*u^14 + 74*u^15 + 20*u^16 + 5*u^17 + u^18", "-1 + 2*u + 3*u^3 + 3*u^4 - 27*u^5 - 5*u^6 + 51*u^7 - u^8 - 44*u^9 + 12*u^10 + 23*u^11 - 11*u^12 - 10*u^13 + 4*u^14 + 4*u^15 - 2*u^16 - u^17 + u^18", "1 + 6*u + 9*u^2 - 6*u^4 - 28*u^5 - 36*u^6 - 26*u^7 - 17*u^8 + 22*u^9 + 37*u^10 + 54*u^11 + 55*u^12 + 40*u^13 + 32*u^14 + 14*u^15 + 9*u^16 + 2*u^17 + u^18", "1 + 6*u + 9*u^2 - 6*u^4 - 28*u^5 - 36*u^6 - 26*u^7 - 17*u^8 + 22*u^9 + 37*u^10 + 54*u^11 + 55*u^12 + 40*u^13 + 32*u^14 + 14*u^15 + 9*u^16 + 2*u^17 + u^18", "49 + 546*u + 2277*u^2 + 5136*u^3 + 9310*u^4 + 14364*u^5 + 15088*u^6 + 11046*u^7 + 6327*u^8 - 1262*u^9 - 6259*u^10 - 1806*u^11 + 2231*u^12 + 560*u^13 - 524*u^14 - 10*u^15 + 61*u^16 - 14*u^17 + u^18", "-1 + 2*u + 3*u^3 + 3*u^4 - 27*u^5 - 5*u^6 + 51*u^7 - u^8 - 44*u^9 + 12*u^10 + 23*u^11 - 11*u^12 - 10*u^13 + 4*u^14 + 4*u^15 - 2*u^16 - u^17 + u^18", "-1 + 2*u + 3*u^3 + 3*u^4 - 27*u^5 - 5*u^6 + 51*u^7 - u^8 - 44*u^9 + 12*u^10 + 23*u^11 - 11*u^12 - 10*u^13 + 4*u^14 + 4*u^15 - 2*u^16 - u^17 + u^18", "1 + 2*u - 7*u^2 + 4*u^3 + 42*u^4 - 56*u^5 - 52*u^6 + 174*u^7 - 29*u^8 - 262*u^9 + 113*u^10 + 214*u^11 - 105*u^12 - 96*u^13 + 48*u^14 + 22*u^15 - 11*u^16 - 2*u^17 + u^18", "1 + 6*u + 9*u^2 - 6*u^4 - 28*u^5 - 36*u^6 - 26*u^7 - 17*u^8 + 22*u^9 + 37*u^10 + 54*u^11 + 55*u^12 + 40*u^13 + 32*u^14 + 14*u^15 + 9*u^16 + 2*u^17 + u^18", "1 + 2*u - 7*u^2 + 4*u^3 + 42*u^4 - 56*u^5 - 52*u^6 + 174*u^7 - 29*u^8 - 262*u^9 + 113*u^10 + 214*u^11 - 105*u^12 - 96*u^13 + 48*u^14 + 22*u^15 - 11*u^16 - 2*u^17 + u^18", "1 + 4*u - 18*u^2 - 109*u^3 - 31*u^4 + 913*u^5 + 2967*u^6 + 5001*u^7 + 5593*u^8 + 4734*u^9 + 3380*u^10 + 2117*u^11 + 1125*u^12 + 510*u^13 + 210*u^14 + 74*u^15 + 20*u^16 + 5*u^17 + u^18", "-1 + 2*u + 3*u^3 + 3*u^4 - 27*u^5 - 5*u^6 + 51*u^7 - u^8 - 44*u^9 + 12*u^10 + 23*u^11 - 11*u^12 - 10*u^13 + 4*u^14 + 4*u^15 - 2*u^16 - u^17 + u^18" ], "uPolys":[ "1 + 4*u - 18*u^2 - 109*u^3 - 31*u^4 + 913*u^5 + 2967*u^6 + 5001*u^7 + 5593*u^8 + 4734*u^9 + 3380*u^10 + 2117*u^11 + 1125*u^12 + 510*u^13 + 210*u^14 + 74*u^15 + 20*u^16 + 5*u^17 + u^18", "-1 + 2*u + 3*u^3 + 3*u^4 - 27*u^5 - 5*u^6 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7}", "{1, 8}", "{1, 9}", "{1, 10}", "{1, 11}", "{1, 12}", "{2, 3}", "{2, 4}", "{2, 5}", "{2, 6}", "{2, 7}", "{2, 8}", "{2, 9}", "{2, 10}", "{2, 11}", "{2, 12}", "{3, 4}", "{3, 5}", "{3, 6}", "{3, 7}", "{3, 8}", "{3, 9}", "{3, 10}", "{3, 11}", "{3, 12}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 8}", "{4, 9}", "{4, 10}", "{4, 11}", "{4, 12}", "{5, 6}", "{5, 7}", "{5, 8}", "{5, 9}", "{5, 10}", "{5, 11}", "{5, 12}", "{6, 7}", "{6, 8}", "{6, 9}", "{6, 10}", "{6, 11}", "{6, 12}", "{7, 8}", "{7, 9}", "{7, 10}", "{7, 11}", "{7, 12}", "{8, 9}", "{8, 10}", "{8, 11}", "{8, 12}", "{9, 10}", "{9, 11}", "{9, 12}", "{10, 11}", "{10, 12}", "{11, 12}" ] ], "SortedReprnIndices":"{1}", "aCuspShapeN":"{0}", "Abelian":true } ] }, "uPolyC":[ "(-1 + u)^9*(1 + 4*u - 18*u^2 - 109*u^3 - 31*u^4 + 913*u^5 + 2967*u^6 + 5001*u^7 + 5593*u^8 + 4734*u^9 + 3380*u^10 + 2117*u^11 + 1125*u^12 + 510*u^13 + 210*u^14 + 74*u^15 + 20*u^16 + 5*u^17 + u^18)*(1 + 7*u + 21*u^2 + 57*u^3 + 167*u^4 + 381*u^5 + 726*u^6 + 1097*u^7 + 1271*u^8 + 1676*u^9 + 1288*u^10 + 1472*u^11 + 801*u^12 + 729*u^13 + 282*u^14 + 189*u^15 + 48*u^16 + 23*u^17 + 3*u^18 + u^19)", "(-1 + u)^5*(1 + u)^4*(-1 + 2*u + 3*u^3 + 3*u^4 - 27*u^5 - 5*u^6 + 51*u^7 - u^8 - 44*u^9 + 12*u^10 + 23*u^11 - 11*u^12 - 10*u^13 + 4*u^14 + 4*u^15 - 2*u^16 - u^17 + u^18)*(-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19)", "u*(-1 + u^2 + u^4)*(3 + 3*u^2 + u^4)*(-1 - 3*u + 3*u^4 + 5*u^5 + 3*u^6 + 4*u^7 + u^8 + u^9)^2*(-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19)", "u*(-1 + u^2 + u^4)*(3 + 3*u^2 + u^4)*(-1 - 3*u + 3*u^4 + 5*u^5 + 3*u^6 + 4*u^7 + u^8 + u^9)^2*(-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19)", "u*(3 - 3*u^2 + u^4)*(-1 - u^2 + u^4)*(-7 - 39*u - 54*u^2 - 66*u^3 - 89*u^4 - 21*u^5 + 37*u^6 + 6*u^7 - 7*u^8 + u^9)^2*(562 + 2406*u + 7461*u^2 + 16865*u^3 + 30946*u^4 + 51326*u^5 + 76050*u^6 + 100026*u^7 + 116445*u^8 + 117670*u^9 + 102261*u^10 + 76345*u^11 + 48391*u^12 + 26064*u^13 + 11768*u^14 + 4220*u^15 + 1113*u^16 + 198*u^17 + 21*u^18 + u^19)", "(-1 + u)^4*(1 + u)^5*(-1 + 2*u + 3*u^3 + 3*u^4 - 27*u^5 - 5*u^6 + 51*u^7 - u^8 - 44*u^9 + 12*u^10 + 23*u^11 - 11*u^12 - 10*u^13 + 4*u^14 + 4*u^15 - 2*u^16 - u^17 + u^18)*(-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19)", "(-1 + u)^5*(1 + u)^4*(-1 + 2*u + 3*u^3 + 3*u^4 - 27*u^5 - 5*u^6 + 51*u^7 - u^8 - 44*u^9 + 12*u^10 + 23*u^11 - 11*u^12 - 10*u^13 + 4*u^14 + 4*u^15 - 2*u^16 - u^17 + u^18)*(-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19)", "u*(3 - 3*u^2 + u^4)*(-1 - u^2 + u^4)*(-1 - u + 4*u^2 - 6*u^3 - 7*u^4 + 11*u^5 + 5*u^6 - 6*u^7 - u^8 + u^9)^2*(-10 + 14*u - 29*u^2 - 11*u^3 + 104*u^4 - 42*u^5 - 218*u^6 - 20*u^7 + 111*u^8 + 44*u^9 + 67*u^10 + 3*u^11 - 103*u^12 - 12*u^13 + 68*u^14 + 12*u^15 - 23*u^16 - 6*u^17 + 3*u^18 + u^19)", "u*(-1 + u^2 + u^4)*(3 + 3*u^2 + u^4)*(-1 - 3*u + 3*u^4 + 5*u^5 + 3*u^6 + 4*u^7 + u^8 + u^9)^2*(-2 + 6*u - 13*u^2 + 13*u^3 - 2*u^4 - 6*u^5 + 20*u^6 - 10*u^7 - 21*u^8 + 60*u^9 - 113*u^10 + 135*u^11 - 141*u^12 + 120*u^13 - 84*u^14 + 54*u^15 - 25*u^16 + 12*u^17 - 3*u^18 + u^19)", "u*(3 - 3*u^2 + u^4)*(-1 - u^2 + u^4)*(-1 - u + 4*u^2 - 6*u^3 - 7*u^4 + 11*u^5 + 5*u^6 - 6*u^7 - u^8 + u^9)^2*(-10 + 14*u - 29*u^2 - 11*u^3 + 104*u^4 - 42*u^5 - 218*u^6 - 20*u^7 + 111*u^8 + 44*u^9 + 67*u^10 + 3*u^11 - 103*u^12 - 12*u^13 + 68*u^14 + 12*u^15 - 23*u^16 - 6*u^17 + 3*u^18 + u^19)", "(-1 + u)^9*(1 + 4*u - 18*u^2 - 109*u^3 - 31*u^4 + 913*u^5 + 2967*u^6 + 5001*u^7 + 5593*u^8 + 4734*u^9 + 3380*u^10 + 2117*u^11 + 1125*u^12 + 510*u^13 + 210*u^14 + 74*u^15 + 20*u^16 + 5*u^17 + u^18)*(1 + 7*u + 21*u^2 + 57*u^3 + 167*u^4 + 381*u^5 + 726*u^6 + 1097*u^7 + 1271*u^8 + 1676*u^9 + 1288*u^10 + 1472*u^11 + 801*u^12 + 729*u^13 + 282*u^14 + 189*u^15 + 48*u^16 + 23*u^17 + 3*u^18 + u^19)", "(-1 + u)^4*(1 + u)^5*(-1 + 2*u + 3*u^3 + 3*u^4 - 27*u^5 - 5*u^6 + 51*u^7 - u^8 - 44*u^9 + 12*u^10 + 23*u^11 - 11*u^12 - 10*u^13 + 4*u^14 + 4*u^15 - 2*u^16 - u^17 + u^18)*(-1 - u + 3*u^2 + 5*u^3 - u^4 - 13*u^5 + 25*u^7 + 7*u^8 - 12*u^9 - 10*u^10 + 24*u^11 + 9*u^12 - 5*u^13 - 8*u^14 + 9*u^15 + 2*u^16 - u^17 - u^18 + u^19)" ], "RileyPolyC":[ "(-1 + y)^9*(1 - 52*y + 1134*y^2 - 12135*y^3 + 64361*y^4 - 159765*y^5 + 220143*y^6 - 257637*y^7 + 156777*y^8 - 29466*y^9 - 25296*y^10 + 13031*y^11 + 4897*y^12 - 1870*y^13 - 790*y^14 + 74*y^15 + 80*y^16 + 15*y^17 + y^18)*(-1 + 7*y + 23*y^2 + 117*y^3 - 2131*y^4 - 4759*y^5 + 40298*y^6 + 348645*y^7 + 1119469*y^8 + 2082552*y^9 + 2559516*y^10 + 2191780*y^11 + 1336523*y^12 + 584109*y^13 + 182478*y^14 + 40321*y^15 + 6156*y^16 + 619*y^17 + 37*y^18 + y^19)", "(-1 + y)^9*(1 - 4*y - 18*y^2 + 109*y^3 - 31*y^4 - 913*y^5 + 2967*y^6 - 5001*y^7 + 5593*y^8 - 4734*y^9 + 3380*y^10 - 2117*y^11 + 1125*y^12 - 510*y^13 + 210*y^14 - 74*y^15 + 20*y^16 - 5*y^17 + y^18)*(-1 + 7*y - 21*y^2 + 57*y^3 - 167*y^4 + 381*y^5 - 726*y^6 + 1097*y^7 - 1271*y^8 + 1676*y^9 - 1288*y^10 + 1472*y^11 - 801*y^12 + 729*y^13 - 282*y^14 + 189*y^15 - 48*y^16 + 23*y^17 - 3*y^18 + y^19)", "y*(-1 + y + y^2)^2*(3 + 3*y + y^2)^2*(-1 + 9*y + 6*y^2 - 24*y^3 - 31*y^4 + y^5 + 25*y^6 + 20*y^7 + 7*y^8 + y^9)^2*(-4 - 16*y - 21*y^2 + 125*y^3 + 156*y^4 - 422*y^5 - 686*y^6 + 716*y^7 + 2179*y^8 + 904*y^9 - 2033*y^10 - 2979*y^11 - 1167*y^12 + 936*y^13 + 1536*y^14 + 1020*y^15 + 407*y^16 + 102*y^17 + 15*y^18 + y^19)", "y*(-1 + y + y^2)^2*(3 + 3*y + y^2)^2*(-1 + 9*y + 6*y^2 - 24*y^3 - 31*y^4 + y^5 + 25*y^6 + 20*y^7 + 7*y^8 + y^9)^2*(-4 - 16*y - 21*y^2 + 125*y^3 + 156*y^4 - 422*y^5 - 686*y^6 + 716*y^7 + 2179*y^8 + 904*y^9 - 2033*y^10 - 2979*y^11 - 1167*y^12 + 936*y^13 + 1536*y^14 + 1020*y^15 + 407*y^16 + 102*y^17 + 15*y^18 + y^19)", "y*(3 - 3*y + y^2)^2*(-1 - y + y^2)^2*(-49 + 765*y + 986*y^2 - 3100*y^3 - 1719*y^4 + 5401*y^5 - 2999*y^6 + 512*y^7 - 37*y^8 + y^9)^2*(-315844 - 2597328*y - 9295445*y^2 - 15847475*y^3 - 10806104*y^4 + 15043042*y^5 + 33303626*y^6 + 9058288*y^7 - 8673865*y^8 + 17201708*y^9 + 34858351*y^10 + 18778397*y^11 + 1655461*y^12 - 972984*y^13 - 51032*y^14 + 54444*y^15 - 9777*y^16 + 898*y^17 - 45*y^18 + y^19)", "(-1 + y)^9*(1 - 4*y - 18*y^2 + 109*y^3 - 31*y^4 - 913*y^5 + 2967*y^6 - 5001*y^7 + 5593*y^8 - 4734*y^9 + 3380*y^10 - 2117*y^11 + 1125*y^12 - 510*y^13 + 210*y^14 - 74*y^15 + 20*y^16 - 5*y^17 + y^18)*(-1 + 7*y - 21*y^2 + 57*y^3 - 167*y^4 + 381*y^5 - 726*y^6 + 1097*y^7 - 1271*y^8 + 1676*y^9 - 1288*y^10 + 1472*y^11 - 801*y^12 + 729*y^13 - 282*y^14 + 189*y^15 - 48*y^16 + 23*y^17 - 3*y^18 + y^19)", "(-1 + y)^9*(1 - 4*y - 18*y^2 + 109*y^3 - 31*y^4 - 913*y^5 + 2967*y^6 - 5001*y^7 + 5593*y^8 - 4734*y^9 + 3380*y^10 - 2117*y^11 + 1125*y^12 - 510*y^13 + 210*y^14 - 74*y^15 + 20*y^16 - 5*y^17 + y^18)*(-1 + 7*y - 21*y^2 + 57*y^3 - 167*y^4 + 381*y^5 - 726*y^6 + 1097*y^7 - 1271*y^8 + 1676*y^9 - 1288*y^10 + 1472*y^11 - 801*y^12 + 729*y^13 - 282*y^14 + 189*y^15 - 48*y^16 + 23*y^17 - 3*y^18 + y^19)", "y*(3 - 3*y + y^2)^2*(-1 - y + y^2)^2*(-1 + 9*y - 18*y^2 + 80*y^3 - 211*y^4 + 269*y^5 - 183*y^6 + 68*y^7 - 13*y^8 + y^9)^2*(-100 - 384*y + 931*y^2 + 617*y^3 - 20876*y^4 + 56558*y^5 - 67990*y^6 + 26148*y^7 + 40387*y^8 - 72808*y^9 + 52879*y^10 - 12991*y^11 - 12167*y^12 + 16072*y^13 - 10000*y^14 + 4040*y^15 - 1105*y^16 + 198*y^17 - 21*y^18 + y^19)", "y*(-1 + y + y^2)^2*(3 + 3*y + y^2)^2*(-1 + 9*y + 6*y^2 - 24*y^3 - 31*y^4 + y^5 + 25*y^6 + 20*y^7 + 7*y^8 + y^9)^2*(-4 - 16*y - 21*y^2 + 125*y^3 + 156*y^4 - 422*y^5 - 686*y^6 + 716*y^7 + 2179*y^8 + 904*y^9 - 2033*y^10 - 2979*y^11 - 1167*y^12 + 936*y^13 + 1536*y^14 + 1020*y^15 + 407*y^16 + 102*y^17 + 15*y^18 + y^19)", "y*(3 - 3*y + y^2)^2*(-1 - y + y^2)^2*(-1 + 9*y - 18*y^2 + 80*y^3 - 211*y^4 + 269*y^5 - 183*y^6 + 68*y^7 - 13*y^8 + y^9)^2*(-100 - 384*y + 931*y^2 + 617*y^3 - 20876*y^4 + 56558*y^5 - 67990*y^6 + 26148*y^7 + 40387*y^8 - 72808*y^9 + 52879*y^10 - 12991*y^11 - 12167*y^12 + 16072*y^13 - 10000*y^14 + 4040*y^15 - 1105*y^16 + 198*y^17 - 21*y^18 + y^19)", "(-1 + y)^9*(1 - 52*y + 1134*y^2 - 12135*y^3 + 64361*y^4 - 159765*y^5 + 220143*y^6 - 257637*y^7 + 156777*y^8 - 29466*y^9 - 25296*y^10 + 13031*y^11 + 4897*y^12 - 1870*y^13 - 790*y^14 + 74*y^15 + 80*y^16 + 15*y^17 + y^18)*(-1 + 7*y + 23*y^2 + 117*y^3 - 2131*y^4 - 4759*y^5 + 40298*y^6 + 348645*y^7 + 1119469*y^8 + 2082552*y^9 + 2559516*y^10 + 2191780*y^11 + 1336523*y^12 + 584109*y^13 + 182478*y^14 + 40321*y^15 + 6156*y^16 + 619*y^17 + 37*y^18 + y^19)", "(-1 + y)^9*(1 - 4*y - 18*y^2 + 109*y^3 - 31*y^4 - 913*y^5 + 2967*y^6 - 5001*y^7 + 5593*y^8 - 4734*y^9 + 3380*y^10 - 2117*y^11 + 1125*y^12 - 510*y^13 + 210*y^14 - 74*y^15 + 20*y^16 - 5*y^17 + y^18)*(-1 + 7*y - 21*y^2 + 57*y^3 - 167*y^4 + 381*y^5 - 726*y^6 + 1097*y^7 - 1271*y^8 + 1676*y^9 - 1288*y^10 + 1472*y^11 - 801*y^12 + 729*y^13 - 282*y^14 + 189*y^15 - 48*y^16 + 23*y^17 - 3*y^18 + y^19)" ] }, "GeometricRepresentation":[ 1.26384e1, [ "J12n_573_0", 1, "{16, 17}" ] ] }, "Hyperbolic":true }