{ "Index":196, "Name":"10_112", "RolfsenName":"10_112", "DTname":"10a_76", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{9, -11, -19, 13, -15, 17, -1, 3, -5, -7}", "Acode":"{5, -6, -10, 7, -8, 9, -1, 2, -3, -4}", "PDcode":[ "{2, 10, 3, 9}", "{4, 11, 5, 12}", "{6, 19, 7, 20}", "{8, 14, 9, 13}", "{10, 15, 11, 16}", "{12, 18, 13, 17}", "{14, 1, 15, 2}", "{16, 4, 17, 3}", "{18, 5, 19, 6}", "{20, 7, 1, 8}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{9, 3, 7}", [], [ "{9, -3, 10, 1}", "{3, -10, 4, 1}", "{10, -4, 1, 1}", "{7, 9, 6, 2}", "{3, -6, 2, 2}", "{9, 2, 8, 2}", "{6, -8, 5, 2}" ], "{4, 7}", "{1}", 1 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "-a + u - a^2*u + a*b*u + a*u^2 + b*u^2 - a^3*b^2*u^2 - 3*a^2*b^3*u^2 - 3*a*b^4*u^2 - b^5*u^2 + a^2*u^3 + a^3*u^4 + 3*a^2*b*u^4 - 2*a^4*b*u^4 + 3*a*b^2*u^4 - 8*a^3*b^2*u^4 + a^5*b^2*u^4 + b^3*u^4 - 12*a^2*b^3*u^4 + 5*a^4*b^3*u^4 - 8*a*b^4*u^4 + 10*a^3*b^4*u^4 - 2*b^5*u^4 + 10*a^2*b^5*u^4 + 5*a*b^6*u^4 + b^7*u^4", "-b + u - a*b*u + b^2*u - b*u^2 + 2*a*b^2*u^2 + 2*b^3*u^2 - a^2*b^3*u^2 - 2*a*b^4*u^2 - b^5*u^2 - u^3 + a*b*u^3 - a*u^4 - b*u^4 + 3*a^2*b*u^4 + 6*a*b^2*u^4 - 3*a^3*b^2*u^4 + 3*b^3*u^4 - 9*a^2*b^3*u^4 + a^4*b^3*u^4 - 9*a*b^4*u^4 + 4*a^3*b^4*u^4 - 3*b^5*u^4 + 6*a^2*b^5*u^4 + 4*a*b^6*u^4 + b^7*u^4", "-1 + a + b + 2*a*u^2 - a^2*u^2 - 2*b*u^2 - 2*a*b*u^2 + a^3*b*u^2 - b^2*u^2 + 3*a^2*b^2*u^2 + 3*a*b^3*u^2 + b^4*u^2 - 3*a*u^4 + b*u^4 + a*u^6", "b + u^2 - 2*b*u^2 - 2*a*b*u^2 - 2*b^2*u^2 + a^2*b^2*u^2 + 2*a*b^3*u^2 + b^4*u^2 - 4*a*u^4 + 3*b*u^4 + 4*a*u^6 - b*u^6 - a*u^8" ], "TimingForPrimaryIdeals":0.188866 }, "v":{ "CheckEq":[ "b + b^4*v^2", "-1 + a + b + b^2*v^2 + a*b^3*v^2 + b^4*v^2", "-b + b^2*v - b^5*v^2 + b^7*v^4", "-a + v + a*b*v - 2*b^3*v^2 - a*b^4*v^2 - b^5*v^2 + b^5*v^4 + a*b^6*v^4 + b^7*v^4" ], "TimingForPrimaryIdeals":0.106535 }, "PrimaryIdeals":[ { "IdealName":"J10_112_0", "Generators":[ "-32 + 3*b - 64*u + 69*u^2 + 423*u^3 + 161*u^4 - 679*u^5 - 988*u^6 + 456*u^7 + 1186*u^8 + 464*u^9 - 931*u^10 - 629*u^11 + 289*u^12 + 427*u^13 + u^14 - 213*u^15 + 19*u^16 + 43*u^17 - 11*u^18", "-761 + 21*a - 1803*u + 23*u^2 + 8302*u^3 + 8911*u^4 - 4951*u^5 - 21090*u^6 - 5470*u^7 + 14237*u^8 + 16337*u^9 - 5497*u^10 - 11454*u^11 - 1264*u^12 + 5086*u^13 + 2184*u^14 - 2345*u^15 - 273*u^16 + 507*u^17 - 95*u^18", "-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":9.804e-2, "TimingZeroDimVars":8.414400000000001e-2, "TimingmagmaVCompNormalize":8.5402e-2, "TimingNumberOfSols":0.186736, "TimingIsRadical":1.6943e-2, "TimingArcColoring":8.499000000000001e-2, "TimingObstruction":4.2854e-2, "TimingComplexVolumeN":1.6047712e1, "TimingaCuspShapeN":0.113378, "TiminguValues":0.673, "TiminguPolysN":4.2990000000000014e-2, "TiminguPolys":0.889544, "TimingaCuspShape":0.151007, "TimingRepresentationsN":0.176405, "TiminguValues_ij":0.204915, "TiminguPoly_ij":1.906451, "TiminguPolys_ij_N":8.809900000000001e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":19, "IsRadical":true, "ArcColoring":[ [ "1 - u^2", "-2*u^2 + u^4" ], [ "(-905 - 2047*u + 341*u^2 + 10465*u^3 + 9499*u^4 - 8706*u^5 - 26902*u^6 - 2188*u^7 + 21386*u^8 + 19195*u^9 - 11716*u^10 - 15503*u^11 + 746*u^12 + 7941*u^13 + 2254*u^14 - 3878*u^15 - 147*u^16 + 830*u^17 - 178*u^18)\/21", "(123 + 297*u - 43*u^2 - 1484*u^3 - 1393*u^4 + 1279*u^5 + 3840*u^6 + 332*u^7 - 3101*u^8 - 2731*u^9 + 1689*u^10 + 2214*u^11 - 113*u^12 - 1144*u^13 - 306*u^14 + 550*u^15 + 17*u^16 - 116*u^17 + 25*u^18)\/3" ], [ 0, "u" ], [ "u", "u - u^3" ], [ "(824 + 1838*u - 366*u^2 - 9156*u^3 - 8393*u^4 + 7128*u^5 + 22826*u^6 + 2922*u^7 - 17401*u^8 - 16498*u^9 + 8626*u^10 + 12784*u^11 - 10*u^12 - 6234*u^13 - 2009*u^14 + 2961*u^15 + 182*u^16 - 633*u^17 + 130*u^18)\/21", "(-17 - 36*u - 26*u^2 + 158*u^3 + 264*u^4 + 63*u^5 - 504*u^6 - 338*u^7 + 159*u^8 + 514*u^9 + 68*u^10 - 270*u^11 - 141*u^12 + 75*u^13 + 99*u^14 - 37*u^15 - 19*u^16 + 10*u^17 - u^18)\/3" ], [ "(985 + 2251*u - 506*u^2 - 11263*u^3 - 10038*u^4 + 9704*u^5 + 28006*u^6 + 2278*u^7 - 22539*u^8 - 19585*u^9 + 12014*u^10 + 15857*u^11 - 759*u^12 - 8075*u^13 - 2191*u^14 + 3836*u^15 + 140*u^16 - 808*u^17 + 172*u^18)\/21", "(32 + 64*u - 69*u^2 - 423*u^3 - 161*u^4 + 679*u^5 + 988*u^6 - 456*u^7 - 1186*u^8 - 464*u^9 + 931*u^10 + 629*u^11 - 289*u^12 - 427*u^13 - u^14 + 213*u^15 - 19*u^16 - 43*u^17 + 11*u^18)\/3" ], [ "(761 + 1803*u - 23*u^2 - 8302*u^3 - 8911*u^4 + 4951*u^5 + 21090*u^6 + 5470*u^7 - 14237*u^8 - 16337*u^9 + 5497*u^10 + 11454*u^11 + 1264*u^12 - 5086*u^13 - 2184*u^14 + 2345*u^15 + 273*u^16 - 507*u^17 + 95*u^18)\/21", "(32 + 64*u - 69*u^2 - 423*u^3 - 161*u^4 + 679*u^5 + 988*u^6 - 456*u^7 - 1186*u^8 - 464*u^9 + 931*u^10 + 629*u^11 - 289*u^12 - 427*u^13 - u^14 + 213*u^15 - 19*u^16 - 43*u^17 + 11*u^18)\/3" ], [ "(5 + 32*u + 180*u^2 + 315*u^3 - 413*u^4 - 1293*u^5 - 715*u^6 + 1578*u^7 + 1793*u^8 - 118*u^9 - 1790*u^10 - 677*u^11 + 746*u^12 + 633*u^13 - 140*u^14 - 315*u^15 + 56*u^16 + 60*u^17 - 17*u^18)\/21", "(-143 - 323*u + 66*u^2 + 1659*u^3 + 1487*u^4 - 1440*u^5 - 4214*u^6 - 288*u^7 + 3418*u^8 + 2953*u^9 - 1894*u^10 - 2419*u^11 + 154*u^12 + 1257*u^13 + 329*u^14 - 609*u^15 - 17*u^16 + 129*u^17 - 28*u^18)\/3" ], "{1, 0}", [ 1, "-u^2" ] ], "Obstruction":-1, "ComplexVolumeN":[ "0.21692 - 10.8092*I", "0.21692 + 10.8092*I", "-0.47646 + 5.13597*I", "-0.47646 - 5.13597*I", "-1.71464 - 3.32825*I", "-1.71464 + 3.32825*I", "2.62449 - 0.38341*I", "2.62449 + 0.38341*I", 1.15807, 3.44527, "-1.91282 + 0.2355*I", "-1.91282 - 0.2355*I", "5.05013 + 5.56057*I", "5.05013 - 5.56057*I", 8.51485, "7.5458 + 14.7559*I", "7.5458 - 14.7559*I", "6.78146 + 0.51735*I", "6.78146 - 0.51735*I" ], "uPolysN":[ "1 - 12*u^2 + u^3 + 57*u^4 - 12*u^5 - 143*u^6 + 52*u^7 + 199*u^8 - 100*u^9 - 158*u^10 + 89*u^11 + 82*u^12 - 44*u^13 - 36*u^14 + 20*u^15 + 8*u^16 - 4*u^17 - 2*u^18 + u^19", "1 + 2*u - u^2 - 5*u^3 + 2*u^4 + 10*u^5 - 15*u^6 - 14*u^7 + 21*u^8 - 4*u^9 - 17*u^10 - 3*u^11 + 13*u^12 - 2*u^13 - 11*u^14 + 4*u^15 + 4*u^16 - u^17 - 2*u^18 + u^19", "-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19", "1 - 2*u - 7*u^2 - 17*u^3 - 14*u^4 - u^6 - 34*u^7 - 47*u^8 + 24*u^9 + 69*u^10 + 13*u^11 - 17*u^12 + 10*u^13 + 27*u^14 + 10*u^15 + u^17 + 2*u^18 + u^19", "-7 - 22*u - 12*u^2 + 124*u^3 + 467*u^4 + 779*u^5 + 327*u^6 - 1446*u^7 - 3861*u^8 - 5228*u^9 - 4504*u^10 - 2334*u^11 - 250*u^12 + 781*u^13 + 842*u^14 + 509*u^15 + 210*u^16 + 60*u^17 + 11*u^18 + u^19", "1 - 2*u - 7*u^2 - 17*u^3 - 14*u^4 - u^6 - 34*u^7 - 47*u^8 + 24*u^9 + 69*u^10 + 13*u^11 - 17*u^12 + 10*u^13 + 27*u^14 + 10*u^15 + u^17 + 2*u^18 + u^19", "1 + 2*u - u^2 - 5*u^3 + 2*u^4 + 10*u^5 - 15*u^6 - 14*u^7 + 21*u^8 - 4*u^9 - 17*u^10 - 3*u^11 + 13*u^12 - 2*u^13 - 11*u^14 + 4*u^15 + 4*u^16 - u^17 - 2*u^18 + u^19", "1 - 12*u^2 + u^3 + 57*u^4 - 12*u^5 - 143*u^6 + 52*u^7 + 199*u^8 - 100*u^9 - 158*u^10 + 89*u^11 + 82*u^12 - 44*u^13 - 36*u^14 + 20*u^15 + 8*u^16 - 4*u^17 - 2*u^18 + u^19", "-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19", "-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19" ], "uPolys":[ "1 - 12*u^2 + u^3 + 57*u^4 - 12*u^5 - 143*u^6 + 52*u^7 + 199*u^8 - 100*u^9 - 158*u^10 + 89*u^11 + 82*u^12 - 44*u^13 - 36*u^14 + 20*u^15 + 8*u^16 - 4*u^17 - 2*u^18 + u^19", "1 + 2*u - u^2 - 5*u^3 + 2*u^4 + 10*u^5 - 15*u^6 - 14*u^7 + 21*u^8 - 4*u^9 - 17*u^10 - 3*u^11 + 13*u^12 - 2*u^13 - 11*u^14 + 4*u^15 + 4*u^16 - u^17 - 2*u^18 + u^19", "-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19", "1 - 2*u - 7*u^2 - 17*u^3 - 14*u^4 - u^6 - 34*u^7 - 47*u^8 + 24*u^9 + 69*u^10 + 13*u^11 - 17*u^12 + 10*u^13 + 27*u^14 + 10*u^15 + u^17 + 2*u^18 + u^19", "-7 - 22*u - 12*u^2 + 124*u^3 + 467*u^4 + 779*u^5 + 327*u^6 - 1446*u^7 - 3861*u^8 - 5228*u^9 - 4504*u^10 - 2334*u^11 - 250*u^12 + 781*u^13 + 842*u^14 + 509*u^15 + 210*u^16 + 60*u^17 + 11*u^18 + u^19", "1 - 2*u - 7*u^2 - 17*u^3 - 14*u^4 - u^6 - 34*u^7 - 47*u^8 + 24*u^9 + 69*u^10 + 13*u^11 - 17*u^12 + 10*u^13 + 27*u^14 + 10*u^15 + u^17 + 2*u^18 + u^19", "1 + 2*u - u^2 - 5*u^3 + 2*u^4 + 10*u^5 - 15*u^6 - 14*u^7 + 21*u^8 - 4*u^9 - 17*u^10 - 3*u^11 + 13*u^12 - 2*u^13 - 11*u^14 + 4*u^15 + 4*u^16 - u^17 - 2*u^18 + u^19", "1 - 12*u^2 + u^3 + 57*u^4 - 12*u^5 - 143*u^6 + 52*u^7 + 199*u^8 - 100*u^9 - 158*u^10 + 89*u^11 + 82*u^12 - 44*u^13 - 36*u^14 + 20*u^15 + 8*u^16 - 4*u^17 - 2*u^18 + u^19", "-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19", "-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19" ], "aCuspShape":"2 + (291 + 733*u - 30*u^2 - 3498*u^3 - 3441*u^4 + 2645*u^5 + 9250*u^6 + 1164*u^7 - 7041*u^8 - 6821*u^9 + 3684*u^10 + 5324*u^11 - 66*u^12 - 2660*u^13 - 847*u^14 + 1302*u^15 + 69*u^16 - 281*u^17 + 59*u^18)\/3", "RepresentationsN":[ [ "u->-0.650742 + 0.795961 I", "a->0.354047 - 0.61533 I", "b->0.971206 + 0.919721 I" ], [ "u->-0.650742 - 0.795961 I", "a->0.354047 + 0.61533 I", "b->0.971206 - 0.919721 I" ], [ "u->-0.438994 + 0.966374 I", "a->-0.257963 - 0.341691 I", "b->0.542166 - 0.57141 I" ], [ "u->-0.438994 - 0.966374 I", "a->-0.257963 + 0.341691 I", "b->0.542166 + 0.57141 I" ], [ "u->-0.500281 + 0.484136 I", "a->-0.276043 + 1.16847 I", "b->-0.989225 - 0.870492 I" ], [ "u->-0.500281 - 0.484136 I", "a->-0.276043 - 1.16847 I", "b->-0.989225 + 0.870492 I" ], [ "u->1.32009 + 0.044695 I", "a->0.592095 + 1.22942 I", "b->-0.158877 - 0.560433 I" ], [ "u->1.32009 - 0.044695 I", "a->0.592095 - 1.22942 I", "b->-0.158877 + 0.560433 I" ], [ "u->0.612375", "a->0.93001", "b->0.220758" ], [ "u->-1.43114", "a->0.461846", "b->-1.60691" ], [ "u->-0.397187 + 0.334084 I", "a->0.957646 + 0.804912 I", "b->-0.907078 + 0.217237 I" ], [ "u->-0.397187 - 0.334084 I", "a->0.957646 - 0.804912 I", "b->-0.907078 - 0.217237 I" ], [ "u->1.52853 + 0.13991 I", "a->0.49931 - 2.07085 I", "b->-0.98962 + 1.48876 I" ], [ "u->1.52853 - 0.13991 I", "a->0.49931 + 2.07085 I", "b->-0.98962 - 1.48876 I" ], [ "u->-1.55827", "a->-0.243774", "b->0.971797" ], [ "u->1.58255 + 0.26743 I", "a->-0.25739 + 1.68674 I", "b->1.19555 - 1.28537 I" ], [ "u->1.58255 - 0.26743 I", "a->-0.25739 - 1.68674 I", "b->1.19555 + 1.28537 I" ], [ "u->1.74455 + 0.26523 I", "a->0.099974 - 0.506108 I", "b->-0.456945 + 0.555778 I" ], [ "u->1.74455 - 0.26523 I", "a->0.099974 + 0.506108 I", "b->-0.456945 - 0.555778 I" ] ], "Epsilon":1.06322, "uPolys_ij":[ "-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19", "-49 + 331*u - 1789*u^2 + 6554*u^3 - 16148*u^4 + 33602*u^5 - 52309*u^6 + 62880*u^7 - 67875*u^8 + 67629*u^9 - 59283*u^10 + 47580*u^11 - 36349*u^12 + 24339*u^13 - 12713*u^14 + 4816*u^15 - 1263*u^16 + 217*u^17 - 22*u^18 + u^19", "-1043 - 8457*u - 24740*u^2 - 12009*u^3 + 120729*u^4 + 395719*u^5 + 627309*u^6 + 569970*u^7 + 240325*u^8 - 82665*u^9 - 193050*u^10 - 132539*u^11 - 43934*u^12 + 100*u^13 + 7524*u^14 + 3959*u^15 + 1139*u^16 + 202*u^17 + 21*u^18 + u^19", "-49 - 251*u + 1889*u^2 - 5132*u^3 + 8840*u^4 - 8478*u^5 + 1341*u^6 + 102*u^7 - 3491*u^8 + 7349*u^9 + 525*u^10 + 10262*u^11 + 3405*u^12 + 3905*u^13 + 1147*u^14 + 640*u^15 + 143*u^16 + 47*u^17 + 6*u^18 + u^19", "1 + 19*u + 97*u^2 - 5*u^3 - 700*u^4 - 2063*u^5 - 4277*u^6 - 3432*u^7 + 2049*u^8 + 621*u^9 - 2597*u^10 + 2331*u^11 + 2063*u^12 - 2096*u^13 - 169*u^14 + 409*u^15 - 9*u^16 - 33*u^17 + u^18 + u^19", "1 + 24*u + 258*u^2 + 1655*u^3 + 7103*u^4 + 21642*u^5 + 48539*u^6 + 82248*u^7 + 107641*u^8 + 110988*u^9 + 91720*u^10 + 61655*u^11 + 34128*u^12 + 15628*u^13 + 5912*u^14 + 1834*u^15 + 456*u^16 + 88*u^17 + 12*u^18 + u^19", "-1 + 22*u - 179*u^2 + 585*u^3 - 556*u^4 + 302*u^5 + 1031*u^6 - 2588*u^7 + 2057*u^8 + 1054*u^9 - 3221*u^10 + 4129*u^11 - 3771*u^12 + 2356*u^13 - 1093*u^14 + 374*u^15 - 76*u^16 + 11*u^17 - 6*u^18 + u^19", "157 + 707*u + 208*u^2 - 2163*u^3 + 371*u^4 + 4239*u^5 - 5299*u^6 - 5178*u^7 + 9585*u^8 + 1257*u^9 - 6520*u^10 + 927*u^11 + 2122*u^12 - 564*u^13 - 374*u^14 + 119*u^15 + 43*u^16 - 14*u^17 - 3*u^18 + u^19", "16384 + 65536*u + 28672*u^2 - 380928*u^3 - 1231872*u^4 - 2026496*u^5 - 2094336*u^6 - 1325312*u^7 - 268800*u^8 + 454752*u^9 + 648368*u^10 + 500976*u^11 + 276740*u^12 + 116850*u^13 + 38403*u^14 + 9774*u^15 + 1879*u^16 + 259*u^17 + 23*u^18 + u^19", "1 + 18*u - 47*u^2 + 95*u^3 - 20*u^4 + 236*u^5 + 1185*u^6 + 2220*u^7 + 4181*u^8 + 6552*u^9 + 6371*u^10 + 4875*u^11 + 3339*u^12 + 1446*u^13 + 731*u^14 + 214*u^15 + 68*u^16 + 21*u^17 + 2*u^18 + u^19", "-71 + 696*u - 1766*u^2 - 187*u^3 + 971*u^4 + 2846*u^5 + 1281*u^6 - 3734*u^7 + 2391*u^8 + 682*u^9 - 2920*u^10 + 1795*u^11 + 178*u^12 - 832*u^13 + 426*u^14 - 60*u^15 - 8*u^16 - 4*u^17 + 2*u^18 + u^19", "1 - 5*u + 3*u^2 + 18*u^3 - 30*u^4 + 14*u^5 + 21*u^6 - 68*u^7 + 23*u^8 - 61*u^9 + 113*u^10 + 22*u^11 - 27*u^12 + 307*u^13 - 127*u^14 + 132*u^15 - 23*u^16 + 19*u^17 - 2*u^18 + u^19", "1 - 2*u - 7*u^2 - 17*u^3 - 14*u^4 - u^6 - 34*u^7 - 47*u^8 + 24*u^9 + 69*u^10 + 13*u^11 - 17*u^12 + 10*u^13 + 27*u^14 + 10*u^15 + u^17 + 2*u^18 + u^19", "-137 - 874*u - 1457*u^2 + 1527*u^3 + 5988*u^4 + 9328*u^5 + 5017*u^6 + 4638*u^7 + 10989*u^8 + 9602*u^9 - 1721*u^10 - 7717*u^11 - 5373*u^12 - 188*u^13 + 1665*u^14 + 962*u^15 + 322*u^16 + 75*u^17 + 10*u^18 + u^19", "-3923 + 9994*u + 32313*u^2 - 30749*u^3 - 39142*u^4 + 59968*u^5 - 25293*u^6 - 9242*u^7 + 9713*u^8 + 3666*u^9 - 21673*u^10 + 23431*u^11 - 15521*u^12 + 8094*u^13 - 3019*u^14 + 872*u^15 - 226*u^16 + 41*u^17 - 6*u^18 + u^19", "-49 + 316*u + 938*u^2 - 3114*u^3 - 7479*u^4 + 17127*u^5 - 59067*u^6 + 70114*u^7 - 50761*u^8 + 24680*u^9 - 9550*u^10 + 5430*u^11 - 3112*u^12 + 1319*u^13 - 354*u^14 - 7*u^15 + 18*u^16 - 2*u^17 - u^18 + u^19", "1 - 12*u^2 + u^3 + 57*u^4 - 12*u^5 - 143*u^6 + 52*u^7 + 199*u^8 - 100*u^9 - 158*u^10 + 89*u^11 + 82*u^12 - 44*u^13 - 36*u^14 + 20*u^15 + 8*u^16 - 4*u^17 - 2*u^18 + u^19", "-7 - 22*u - 12*u^2 + 124*u^3 + 467*u^4 + 779*u^5 + 327*u^6 - 1446*u^7 - 3861*u^8 - 5228*u^9 - 4504*u^10 - 2334*u^11 - 250*u^12 + 781*u^13 + 842*u^14 + 509*u^15 + 210*u^16 + 60*u^17 + 11*u^18 + u^19", "1 + 2*u - u^2 - 5*u^3 + 2*u^4 + 10*u^5 - 15*u^6 - 14*u^7 + 21*u^8 - 4*u^9 - 17*u^10 - 3*u^11 + 13*u^12 - 2*u^13 - 11*u^14 + 4*u^15 + 4*u^16 - u^17 - 2*u^18 + u^19", "-1 + 6*u - 25*u^2 + 99*u^3 - 232*u^4 + 360*u^5 - 621*u^6 + 884*u^7 - 945*u^8 + 1176*u^9 - 1011*u^10 + 915*u^11 - 743*u^12 + 466*u^13 - 311*u^14 + 154*u^15 - 72*u^16 + 25*u^17 - 6*u^18 + u^19", "47 + 279*u + 425*u^2 - 488*u^3 - 1594*u^4 + 98*u^5 + 2067*u^6 - 1322*u^7 - 4221*u^8 + 471*u^9 + 3881*u^10 + 40*u^11 - 2581*u^12 - 741*u^13 + 589*u^14 + 242*u^15 - 55*u^16 - 27*u^17 + 2*u^18 + u^19", "32 - 64*u - 80*u^2 + 332*u^3 - 176*u^4 - 595*u^5 + 761*u^6 + 318*u^7 - 926*u^8 + 212*u^9 + 440*u^10 - 290*u^11 - 8*u^12 + 109*u^13 - 49*u^14 - 28*u^15 + 10*u^16 + 5*u^17 - 5*u^18 + u^19" ], "GeometricComponent":"{16, 17}", "uPolys_ij_N":[ "-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19", "-49 + 331*u - 1789*u^2 + 6554*u^3 - 16148*u^4 + 33602*u^5 - 52309*u^6 + 62880*u^7 - 67875*u^8 + 67629*u^9 - 59283*u^10 + 47580*u^11 - 36349*u^12 + 24339*u^13 - 12713*u^14 + 4816*u^15 - 1263*u^16 + 217*u^17 - 22*u^18 + u^19", "-1043 - 8457*u - 24740*u^2 - 12009*u^3 + 120729*u^4 + 395719*u^5 + 627309*u^6 + 569970*u^7 + 240325*u^8 - 82665*u^9 - 193050*u^10 - 132539*u^11 - 43934*u^12 + 100*u^13 + 7524*u^14 + 3959*u^15 + 1139*u^16 + 202*u^17 + 21*u^18 + u^19", "-49 - 251*u + 1889*u^2 - 5132*u^3 + 8840*u^4 - 8478*u^5 + 1341*u^6 + 102*u^7 - 3491*u^8 + 7349*u^9 + 525*u^10 + 10262*u^11 + 3405*u^12 + 3905*u^13 + 1147*u^14 + 640*u^15 + 143*u^16 + 47*u^17 + 6*u^18 + u^19", "1 + 19*u + 97*u^2 - 5*u^3 - 700*u^4 - 2063*u^5 - 4277*u^6 - 3432*u^7 + 2049*u^8 + 621*u^9 - 2597*u^10 + 2331*u^11 + 2063*u^12 - 2096*u^13 - 169*u^14 + 409*u^15 - 9*u^16 - 33*u^17 + u^18 + u^19", "1 + 24*u + 258*u^2 + 1655*u^3 + 7103*u^4 + 21642*u^5 + 48539*u^6 + 82248*u^7 + 107641*u^8 + 110988*u^9 + 91720*u^10 + 61655*u^11 + 34128*u^12 + 15628*u^13 + 5912*u^14 + 1834*u^15 + 456*u^16 + 88*u^17 + 12*u^18 + u^19", "-1 + 22*u - 179*u^2 + 585*u^3 - 556*u^4 + 302*u^5 + 1031*u^6 - 2588*u^7 + 2057*u^8 + 1054*u^9 - 3221*u^10 + 4129*u^11 - 3771*u^12 + 2356*u^13 - 1093*u^14 + 374*u^15 - 76*u^16 + 11*u^17 - 6*u^18 + u^19", "157 + 707*u + 208*u^2 - 2163*u^3 + 371*u^4 + 4239*u^5 - 5299*u^6 - 5178*u^7 + 9585*u^8 + 1257*u^9 - 6520*u^10 + 927*u^11 + 2122*u^12 - 564*u^13 - 374*u^14 + 119*u^15 + 43*u^16 - 14*u^17 - 3*u^18 + u^19", "16384 + 65536*u + 28672*u^2 - 380928*u^3 - 1231872*u^4 - 2026496*u^5 - 2094336*u^6 - 1325312*u^7 - 268800*u^8 + 454752*u^9 + 648368*u^10 + 500976*u^11 + 276740*u^12 + 116850*u^13 + 38403*u^14 + 9774*u^15 + 1879*u^16 + 259*u^17 + 23*u^18 + u^19", "1 + 18*u - 47*u^2 + 95*u^3 - 20*u^4 + 236*u^5 + 1185*u^6 + 2220*u^7 + 4181*u^8 + 6552*u^9 + 6371*u^10 + 4875*u^11 + 3339*u^12 + 1446*u^13 + 731*u^14 + 214*u^15 + 68*u^16 + 21*u^17 + 2*u^18 + u^19", "-71 + 696*u - 1766*u^2 - 187*u^3 + 971*u^4 + 2846*u^5 + 1281*u^6 - 3734*u^7 + 2391*u^8 + 682*u^9 - 2920*u^10 + 1795*u^11 + 178*u^12 - 832*u^13 + 426*u^14 - 60*u^15 - 8*u^16 - 4*u^17 + 2*u^18 + u^19", "1 - 5*u + 3*u^2 + 18*u^3 - 30*u^4 + 14*u^5 + 21*u^6 - 68*u^7 + 23*u^8 - 61*u^9 + 113*u^10 + 22*u^11 - 27*u^12 + 307*u^13 - 127*u^14 + 132*u^15 - 23*u^16 + 19*u^17 - 2*u^18 + u^19", "1 - 2*u - 7*u^2 - 17*u^3 - 14*u^4 - u^6 - 34*u^7 - 47*u^8 + 24*u^9 + 69*u^10 + 13*u^11 - 17*u^12 + 10*u^13 + 27*u^14 + 10*u^15 + u^17 + 2*u^18 + u^19", "-137 - 874*u - 1457*u^2 + 1527*u^3 + 5988*u^4 + 9328*u^5 + 5017*u^6 + 4638*u^7 + 10989*u^8 + 9602*u^9 - 1721*u^10 - 7717*u^11 - 5373*u^12 - 188*u^13 + 1665*u^14 + 962*u^15 + 322*u^16 + 75*u^17 + 10*u^18 + u^19", "-3923 + 9994*u + 32313*u^2 - 30749*u^3 - 39142*u^4 + 59968*u^5 - 25293*u^6 - 9242*u^7 + 9713*u^8 + 3666*u^9 - 21673*u^10 + 23431*u^11 - 15521*u^12 + 8094*u^13 - 3019*u^14 + 872*u^15 - 226*u^16 + 41*u^17 - 6*u^18 + u^19", "-49 + 316*u + 938*u^2 - 3114*u^3 - 7479*u^4 + 17127*u^5 - 59067*u^6 + 70114*u^7 - 50761*u^8 + 24680*u^9 - 9550*u^10 + 5430*u^11 - 3112*u^12 + 1319*u^13 - 354*u^14 - 7*u^15 + 18*u^16 - 2*u^17 - u^18 + u^19", "1 - 12*u^2 + u^3 + 57*u^4 - 12*u^5 - 143*u^6 + 52*u^7 + 199*u^8 - 100*u^9 - 158*u^10 + 89*u^11 + 82*u^12 - 44*u^13 - 36*u^14 + 20*u^15 + 8*u^16 - 4*u^17 - 2*u^18 + u^19", "-7 - 22*u - 12*u^2 + 124*u^3 + 467*u^4 + 779*u^5 + 327*u^6 - 1446*u^7 - 3861*u^8 - 5228*u^9 - 4504*u^10 - 2334*u^11 - 250*u^12 + 781*u^13 + 842*u^14 + 509*u^15 + 210*u^16 + 60*u^17 + 11*u^18 + u^19", "1 + 2*u - u^2 - 5*u^3 + 2*u^4 + 10*u^5 - 15*u^6 - 14*u^7 + 21*u^8 - 4*u^9 - 17*u^10 - 3*u^11 + 13*u^12 - 2*u^13 - 11*u^14 + 4*u^15 + 4*u^16 - u^17 - 2*u^18 + u^19", "-1 + 6*u - 25*u^2 + 99*u^3 - 232*u^4 + 360*u^5 - 621*u^6 + 884*u^7 - 945*u^8 + 1176*u^9 - 1011*u^10 + 915*u^11 - 743*u^12 + 466*u^13 - 311*u^14 + 154*u^15 - 72*u^16 + 25*u^17 - 6*u^18 + u^19", "47 + 279*u + 425*u^2 - 488*u^3 - 1594*u^4 + 98*u^5 + 2067*u^6 - 1322*u^7 - 4221*u^8 + 471*u^9 + 3881*u^10 + 40*u^11 - 2581*u^12 - 741*u^13 + 589*u^14 + 242*u^15 - 55*u^16 - 27*u^17 + 2*u^18 + u^19", "32 - 64*u - 80*u^2 + 332*u^3 - 176*u^4 - 595*u^5 + 761*u^6 + 318*u^7 - 926*u^8 + 212*u^9 + 440*u^10 - 290*u^11 - 8*u^12 + 109*u^13 - 49*u^14 - 28*u^15 + 10*u^16 + 5*u^17 - 5*u^18 + u^19" ], "Multiplicity":1, "ij_list":[ [ "{1, 4}", "{3, 9}", "{3, 10}", "{4, 10}" ], [ "{1, 10}", "{3, 4}", "{9, 10}" ], [ "{1, 3}", "{4, 9}" ], [ "{1, 9}" ], [ "{4, 6}", "{8, 10}" ], [ "{1, 2}", "{8, 9}" ], [ "{2, 10}" ], [ "{1, 6}", "{3, 8}" ], [ "{5, 9}" ], [ "{4, 5}", "{6, 7}" ], [ "{2, 4}" ], [ "{3, 7}", "{7, 10}" ], [ "{4, 7}", "{5, 7}", "{6, 9}", "{7, 9}" ], [ "{5, 10}" ], [ "{3, 5}" ], [ "{5, 6}" ], [ "{1, 5}", "{2, 5}", "{2, 8}", "{2, 9}" ], [ "{5, 8}", "{6, 8}" ], [ "{1, 7}", "{1, 8}", "{2, 6}", "{3, 6}" ], [ "{2, 3}", "{7, 8}" ], [ "{4, 8}", "{6, 10}" ], [ "{2, 7}" ] ], "SortedReprnIndices":"{16, 17, 2, 1, 13, 14, 3, 4, 6, 5, 18, 19, 8, 7, 11, 12, 15, 10, 9}", "aCuspShapeN":[ "2.8509527379098797989`4.632437811751163 + 8.9558580146378416477`5.129554993659122*I", "2.8509527379098797989`4.632437811751163 - 8.9558580146378416477`5.129554993659122*I", "2.0464319773143387972`4.50011448201573 - 8.9177153319106971`5.139370773434931*I", "2.0464319773143387972`4.50011448201573 + 8.9177153319106971`5.139370773434931*I", "-3.1888212511300134244`4.719211839829638 + 7.9962295917395747284`5.11846691951804*I", "-3.1888212511300134244`4.719211839829638 - 7.9962295917395747284`5.11846691951804*I", "2.2873573370851054799`5.09192150166325 + 1.2730242683446098057`4.837424168031325*I", "2.2873573370851054799`5.09192150166325 - 1.2730242683446098057`4.837424168031325*I", 8.487, 2.158, "-3.8575543069788317536`5.1445885176372075 + 0.6416575212559603407`4.3655797580845705*I", "-3.8575543069788317536`5.1445885176372075 - 0.6416575212559603407`4.3655797580845705*I", "-1.0716537780086142249`4.430713729101446 - 5.518454268446724452`5.142476677633465*I", "-1.0716537780086142249`4.430713729101446 + 5.518454268446724452`5.142476677633465*I", 1.0857000000000001e1, "5.7207061218199261292`4.919417203073548 - 7.882644671695996113`5.058639515043794*I", "5.7207061218199261292`4.919417203073548 + 7.882644671695996113`5.058639515043794*I", "9.9615328007345717901`5.01242892280933 - 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u^2", "-2*u^2 + u^4" ], [ "a - 3*u + a*u + 4*u^2 - 6*a*u^2 - 5*u^3 + 6*a*u^3 + 3*u^4 + 5*a*u^4 + 2*u^5 - 7*a*u^5 - 12*u^6 + a*u^6 + 9*u^7 + 4*a*u^7 + 5*u^8 - a*u^8 - 10*u^9 - a*u^9 + 2*u^10 + 5*u^11 - u^12 - u^13", "-1 - a + u^2 + 3*a*u^2 - u^3 - 7*a*u^3 - u^4 + 4*a*u^4 + 19*a*u^5 - 21*a*u^6 - 12*a*u^7 + 27*a*u^8 - 4*a*u^9 - 19*a*u^10 + 5*a*u^11 + 7*a*u^12 - a*u^13 - a*u^14" ], [ 0, "u" ], [ "u", "u - u^3" ], [ "2*a - u + 4*u^2 - 9*a*u^2 - 2*u^3 + 16*a*u^3 - 12*u^4 - 8*a*u^4 + 26*u^5 - 24*a*u^5 - 4*u^6 + 34*a*u^6 - 31*u^7 + 4*a*u^7 + 24*u^8 - 32*a*u^8 + 11*u^9 + 14*a*u^9 - 22*u^10 + 17*a*u^10 - u^11 - 10*a*u^11 + 8*u^12 - 6*a*u^12 + 2*a*u^13 - u^14 + a*u^14", 1 ], [ "-2 + a - a*u + 9*u^2 - a*u^2 - 16*u^3 + 8*u^4 + 24*u^5 - 34*u^6 - 4*u^7 + 32*u^8 - 14*u^9 - 17*u^10 + 10*u^11 + 6*u^12 - 2*u^13 - u^14", "-2 - a*u + 9*u^2 - a*u^2 - 16*u^3 + 8*u^4 + 24*u^5 - 34*u^6 - 4*u^7 + 32*u^8 - 14*u^9 - 17*u^10 + 10*u^11 + 6*u^12 - 2*u^13 - u^14" ], [ "a", "-2 - a*u + 9*u^2 - a*u^2 - 16*u^3 + 8*u^4 + 24*u^5 - 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u^27 - 4*u^28 + u^30", "1 + 7*u + 15*u^2 - 3*u^3 - 34*u^4 - 9*u^5 + 87*u^6 + 91*u^7 + 65*u^8 + 117*u^9 + 227*u^10 + 201*u^11 + 147*u^12 + 163*u^13 + 253*u^14 + 145*u^15 + 115*u^16 + 60*u^17 + 127*u^18 + 25*u^19 + 30*u^20 - 15*u^21 + 37*u^22 - 9*u^23 + 9*u^24 - 4*u^25 + 9*u^26 - u^27 + 2*u^28 + u^30", "(1 + 2*u - 3*u^2 + 14*u^4 - 20*u^5 - 12*u^6 + 38*u^7 - 7*u^8 - 30*u^9 + 19*u^10 + 16*u^11 - 11*u^12 - 6*u^13 + 2*u^14 + u^15)^2", "(1 + 2*u - 3*u^2 + 14*u^4 - 20*u^5 - 12*u^6 + 38*u^7 - 7*u^8 - 30*u^9 + 19*u^10 + 16*u^11 - 11*u^12 - 6*u^13 + 2*u^14 + u^15)^2" ], "aCuspShape":"23 - 5*u - 60*u^2 + 132*u^3 + 14*u^4 - 298*u^5 + 214*u^6 + 224*u^7 - 319*u^8 - 21*u^9 + 218*u^10 - 34*u^11 - 77*u^12 + 9*u^13 + 11*u^14", "RepresentationsN":[ [ "u->0.564527 + 0.799929 I", "a->0.618356 + 0.35432 I", "b->0.554999 - 0.686515 I" ], [ "u->0.564527 + 0.799929 I", "a->-0.180396 - 0.172783 I", "b->-0.148347 + 0.802094 I" ], [ "u->0.564527 - 0.799929 I", "a->0.618356 - 0.35432 I", "b->0.554999 + 0.686515 I" ], [ "u->0.564527 - 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a" ], "{1, 0}", "{1, -1}" ], "Obstruction":1, "ComplexVolumeN":"{0, 0}", "uPolysN":[ "-1 + u + u^2", "-1 + u + u^2", "1 - 2*u + u^2", "1 - 2*u + u^2", "u^2", "1 - 2*u + u^2", "-1 + u + u^2", "-1 + u + u^2", "1 + 2*u + u^2", "1 + 2*u + u^2" ], "uPolys":[ "-1 + u + u^2", "-1 + u + u^2", "(-1 + u)^2", "(-1 + u)^2", "u^2", "(-1 + u)^2", "-1 + u + u^2", "-1 + u + u^2", "(1 + u)^2", "(1 + u)^2" ], "aCuspShape":-5, "RepresentationsN":[ [ "u->-1.", "a->-0.618034", "b->-1." ], [ "u->-1.", "a->1.61803", "b->-1." ] ], "Epsilon":2.23607, "uPolys_ij_N":[ "1 + 2*u + u^2", "u^2", "1 - 2*u + u^2", "1 + 3*u + u^2", "-1 - u + u^2", "1 - 3*u + u^2", "1 + 3*u + u^2", "-1 + u + u^2", "-1 + u + u^2", "-1 - u + u^2", "1 - 3*u + u^2", "-4 + 2*u + u^2", "-5 + u^2" ], "GeometricComponent":0, "Multiplicity":1, "ij_list":[ [ "{1, 4}", "{3, 4}", "{9, 10}" ], [ "{1, 3}", "{4, 9}", "{5, 6}", "{5, 8}", "{6, 8}" ], [ "{1, 9}", "{1, 10}", "{3, 9}", "{3, 10}", "{4, 5}", "{4, 6}", "{4, 7}", "{4, 10}", "{5, 7}", "{5, 9}", "{6, 7}", "{6, 9}", "{7, 9}", "{8, 10}" ], [ "{7, 8}" ], [ "{7, 10}" ], [ "{1, 2}", "{5, 10}", "{6, 10}" ], [ "{2, 3}" ], [ "{1, 5}", "{1, 6}", "{2, 5}", "{2, 6}", "{3, 5}", "{3, 6}" ], [ "{2, 4}" ], [ "{1, 7}", "{1, 8}", "{2, 8}", "{2, 9}", "{3, 7}", "{3, 8}" ], [ "{4, 8}", "{8, 9}" ], [ "{2, 10}" ], [ "{2, 7}" ] ], "SortedReprnIndices":"{1, 2}", "aCuspShapeN":[ -5.0, -5.0 ], "Abelian":false }, { "IdealName":"abJ10_112_5", "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":9.3967e-2, "TimingZeroDimVars":6.9179e-2, "TimingmagmaVCompNormalize":7.0657e-2, "TimingNumberOfSols":2.9659e-2, "TimingIsRadical":1.914e-3, "TimingArcColoring":6.904300000000001e-2, "TimingObstruction":4.22e-4, "TimingComplexVolumeN":0.585735, "TimingaCuspShapeN":4.623e-3, "TiminguValues":0.633883, "TiminguPolysN":7.400000000000002e-5, "TiminguPolys":0.752753, "TimingaCuspShape":0.107742, "TimingRepresentationsN":2.8377e-2, "TiminguValues_ij":0.152863, "TiminguPoly_ij":0.138637, "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 + u + u^2)*(1 + u + u^2 + u^4 + u^5)*(1 - 12*u^2 + u^3 + 57*u^4 - 12*u^5 - 143*u^6 + 52*u^7 + 199*u^8 - 100*u^9 - 158*u^10 + 89*u^11 + 82*u^12 - 44*u^13 - 36*u^14 + 20*u^15 + 8*u^16 - 4*u^17 - 2*u^18 + u^19)*(1 + 7*u + 15*u^2 - 3*u^3 - 34*u^4 - 9*u^5 + 87*u^6 + 91*u^7 + 65*u^8 + 117*u^9 + 227*u^10 + 201*u^11 + 147*u^12 + 163*u^13 + 253*u^14 + 145*u^15 + 115*u^16 + 60*u^17 + 127*u^18 + 25*u^19 + 30*u^20 - 15*u^21 + 37*u^22 - 9*u^23 + 9*u^24 - 4*u^25 + 9*u^26 - u^27 + 2*u^28 + u^30)", "(1 + u)*(-1 + u + u^2)*(-1 + u + u^3 - u^4 + u^5)*(1 + 2*u - u^2 - 5*u^3 + 2*u^4 + 10*u^5 - 15*u^6 - 14*u^7 + 21*u^8 - 4*u^9 - 17*u^10 - 3*u^11 + 13*u^12 - 2*u^13 - 11*u^14 + 4*u^15 + 4*u^16 - u^17 - 2*u^18 + u^19)*(43 - 37*u - 363*u^2 + 307*u^3 + 1454*u^4 - 1253*u^5 - 3517*u^6 + 3235*u^7 + 5499*u^8 - 5521*u^9 - 5779*u^10 + 6271*u^11 + 4445*u^12 - 4937*u^13 - 2733*u^14 + 2679*u^15 + 1593*u^16 - 1018*u^17 - 953*u^18 + 371*u^19 + 426*u^20 - 151*u^21 - 93*u^22 + 37*u^23 + u^24 - 8*u^25 + 13*u^26 - u^27 - 4*u^28 + u^30)", "(-1 + u)^2*u*(-1 - 3*u^2 - 3*u^3 + u^4 + u^5)*(1 + 2*u - 3*u^2 + 14*u^4 - 20*u^5 - 12*u^6 + 38*u^7 - 7*u^8 - 30*u^9 + 19*u^10 + 16*u^11 - 11*u^12 - 6*u^13 + 2*u^14 + u^15)^2*(-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19)", "(-1 + u)^2*(1 + u)*(1 + u + 3*u^3 - u^4 + u^5)*(1 - 2*u - 7*u^2 - 17*u^3 - 14*u^4 - u^6 - 34*u^7 - 47*u^8 + 24*u^9 + 69*u^10 + 13*u^11 - 17*u^12 + 10*u^13 + 27*u^14 + 10*u^15 + u^17 + 2*u^18 + u^19)*(7 - 42*u + 139*u^2 - 295*u^3 + 451*u^4 - 702*u^5 + 1154*u^6 - 1750*u^7 + 2704*u^8 - 4182*u^9 + 5896*u^10 - 7428*u^11 + 8790*u^12 - 9814*u^13 + 9874*u^14 - 9188*u^15 + 8220*u^16 - 6927*u^17 + 5387*u^18 - 3951*u^19 + 2751*u^20 - 1808*u^21 + 1104*u^22 - 618*u^23 + 336*u^24 - 163*u^25 + 75*u^26 - 25*u^27 + 11*u^28 - 3*u^29 + u^30)", "u^3*(5 + 11*u + 13*u^2 + 9*u^3 + 4*u^4 + u^5)*(-2 + 3*u + 7*u^2 - 20*u^3 + 4*u^4 + 38*u^5 - 50*u^6 - 2*u^7 + 62*u^8 - 61*u^9 + 7*u^10 + 38*u^11 - 42*u^12 + 23*u^13 - 7*u^14 + u^15)^2*(-7 - 22*u - 12*u^2 + 124*u^3 + 467*u^4 + 779*u^5 + 327*u^6 - 1446*u^7 - 3861*u^8 - 5228*u^9 - 4504*u^10 - 2334*u^11 - 250*u^12 + 781*u^13 + 842*u^14 + 509*u^15 + 210*u^16 + 60*u^17 + 11*u^18 + u^19)", "(-1 + u)^2*(1 + u)*(1 + u + 3*u^3 - u^4 + u^5)*(1 - 2*u - 7*u^2 - 17*u^3 - 14*u^4 - u^6 - 34*u^7 - 47*u^8 + 24*u^9 + 69*u^10 + 13*u^11 - 17*u^12 + 10*u^13 + 27*u^14 + 10*u^15 + u^17 + 2*u^18 + u^19)*(7 - 42*u + 139*u^2 - 295*u^3 + 451*u^4 - 702*u^5 + 1154*u^6 - 1750*u^7 + 2704*u^8 - 4182*u^9 + 5896*u^10 - 7428*u^11 + 8790*u^12 - 9814*u^13 + 9874*u^14 - 9188*u^15 + 8220*u^16 - 6927*u^17 + 5387*u^18 - 3951*u^19 + 2751*u^20 - 1808*u^21 + 1104*u^22 - 618*u^23 + 336*u^24 - 163*u^25 + 75*u^26 - 25*u^27 + 11*u^28 - 3*u^29 + u^30)", "(1 + u)*(-1 + u + u^2)*(-1 + u + u^3 - u^4 + u^5)*(1 + 2*u - u^2 - 5*u^3 + 2*u^4 + 10*u^5 - 15*u^6 - 14*u^7 + 21*u^8 - 4*u^9 - 17*u^10 - 3*u^11 + 13*u^12 - 2*u^13 - 11*u^14 + 4*u^15 + 4*u^16 - u^17 - 2*u^18 + u^19)*(43 - 37*u - 363*u^2 + 307*u^3 + 1454*u^4 - 1253*u^5 - 3517*u^6 + 3235*u^7 + 5499*u^8 - 5521*u^9 - 5779*u^10 + 6271*u^11 + 4445*u^12 - 4937*u^13 - 2733*u^14 + 2679*u^15 + 1593*u^16 - 1018*u^17 - 953*u^18 + 371*u^19 + 426*u^20 - 151*u^21 - 93*u^22 + 37*u^23 + u^24 - 8*u^25 + 13*u^26 - u^27 - 4*u^28 + u^30)", "(1 + u)*(-1 + u + u^2)*(1 + u + u^2 + u^4 + u^5)*(1 - 12*u^2 + u^3 + 57*u^4 - 12*u^5 - 143*u^6 + 52*u^7 + 199*u^8 - 100*u^9 - 158*u^10 + 89*u^11 + 82*u^12 - 44*u^13 - 36*u^14 + 20*u^15 + 8*u^16 - 4*u^17 - 2*u^18 + u^19)*(1 + 7*u + 15*u^2 - 3*u^3 - 34*u^4 - 9*u^5 + 87*u^6 + 91*u^7 + 65*u^8 + 117*u^9 + 227*u^10 + 201*u^11 + 147*u^12 + 163*u^13 + 253*u^14 + 145*u^15 + 115*u^16 + 60*u^17 + 127*u^18 + 25*u^19 + 30*u^20 - 15*u^21 + 37*u^22 - 9*u^23 + 9*u^24 - 4*u^25 + 9*u^26 - u^27 + 2*u^28 + u^30)", "u*(1 + u)^2*(1 + 3*u^2 - 3*u^3 - u^4 + u^5)*(1 + 2*u - 3*u^2 + 14*u^4 - 20*u^5 - 12*u^6 + 38*u^7 - 7*u^8 - 30*u^9 + 19*u^10 + 16*u^11 - 11*u^12 - 6*u^13 + 2*u^14 + u^15)^2*(-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19)", "u*(1 + u)^2*(1 + 3*u^2 - 3*u^3 - u^4 + u^5)*(1 + 2*u - 3*u^2 + 14*u^4 - 20*u^5 - 12*u^6 + 38*u^7 - 7*u^8 - 30*u^9 + 19*u^10 + 16*u^11 - 11*u^12 - 6*u^13 + 2*u^14 + u^15)^2*(-7 - 11*u + 15*u^2 + 80*u^3 + 14*u^4 - 126*u^5 - 157*u^6 + 138*u^7 + 181*u^8 + 23*u^9 - 201*u^10 - 52*u^11 + 95*u^12 + 57*u^13 - 29*u^14 - 42*u^15 + 21*u^16 + 7*u^17 - 6*u^18 + u^19)" ], "RileyPolyC":[ "(-1 + y)*(1 - 3*y + y^2)*(-1 - y - 3*y^2 - y^4 + y^5)*(-1 + 24*y - 258*y^2 + 1655*y^3 - 7103*y^4 + 21642*y^5 - 48539*y^6 + 82248*y^7 - 107641*y^8 + 110988*y^9 - 91720*y^10 + 61655*y^11 - 34128*y^12 + 15628*y^13 - 5912*y^14 + 1834*y^15 - 456*y^16 + 88*y^17 - 12*y^18 + y^19)*(1 - 19*y + 199*y^2 - 729*y^3 + 2568*y^4 - 4685*y^5 + 9779*y^6 - 6461*y^7 + 22819*y^8 - 5719*y^9 + 36631*y^10 + 8483*y^11 + 62717*y^12 + 42377*y^13 + 90795*y^14 + 69409*y^15 + 89031*y^16 + 59580*y^17 + 55043*y^18 + 29859*y^19 + 21280*y^20 + 8877*y^21 + 5211*y^22 + 1793*y^23 + 1019*y^24 + 336*y^25 + 183*y^26 + 53*y^27 + 22*y^28 + 4*y^29 + y^30)", "(-1 + y)*(1 - 3*y + y^2)*(-1 + y + 3*y^3 + y^4 + y^5)*(-1 + 6*y - 25*y^2 + 99*y^3 - 232*y^4 + 360*y^5 - 621*y^6 + 884*y^7 - 945*y^8 + 1176*y^9 - 1011*y^10 + 915*y^11 - 743*y^12 + 466*y^13 - 311*y^14 + 154*y^15 - 72*y^16 + 25*y^17 - 6*y^18 + y^19)*(1849 - 32587*y + 279531*y^2 - 1545037*y^3 + 6149104*y^4 - 18681557*y^5 + 44899063*y^6 - 87463989*y^7 + 140601263*y^8 - 189156783*y^9 + 215420683*y^10 - 209689605*y^11 + 175988677*y^12 - 128472723*y^13 + 82369583*y^14 - 46900291*y^15 + 23985327*y^16 - 11090120*y^17 + 4600439*y^18 - 1650693*y^19 + 464108*y^20 - 70155*y^21 - 18413*y^22 + 18657*y^23 - 7441*y^24 + 1632*y^25 - 41*y^26 - 103*y^27 + 42*y^28 - 8*y^29 + y^30)", "(-1 + y)^2*y*(-1 - 6*y - 7*y^2 + 15*y^3 - 7*y^4 + y^5)*(-1 + 10*y - 37*y^2 + 28*y^3 - 102*y^4 + 536*y^5 - 1268*y^6 + 1850*y^7 - 2189*y^8 + 2302*y^9 - 1923*y^10 + 1138*y^11 - 449*y^12 + 112*y^13 - 16*y^14 + y^15)^2*(-49 + 331*y - 1789*y^2 + 6554*y^3 - 16148*y^4 + 33602*y^5 - 52309*y^6 + 62880*y^7 - 67875*y^8 + 67629*y^9 - 59283*y^10 + 47580*y^11 - 36349*y^12 + 24339*y^13 - 12713*y^14 + 4816*y^15 - 1263*y^16 + 217*y^17 - 22*y^18 + y^19)", "(-1 + y)^3*(-1 + y + 8*y^2 + 11*y^3 + 5*y^4 + y^5)*(-1 + 18*y + 47*y^2 + 95*y^3 + 20*y^4 + 236*y^5 - 1185*y^6 + 2220*y^7 - 4181*y^8 + 6552*y^9 - 6371*y^10 + 4875*y^11 - 3339*y^12 + 1446*y^13 - 731*y^14 + 214*y^15 - 68*y^16 + 21*y^17 - 2*y^18 + y^19)*(49 + 182*y + 855*y^2 - 4459*y^3 + 889*y^4 - 1428*y^5 - 15460*y^6 - 44*y^7 + 80252*y^8 + 171046*y^9 + 243310*y^10 + 35390*y^11 - 177270*y^12 - 406566*y^13 - 313186*y^14 - 319068*y^15 - 144538*y^16 - 19031*y^17 + 168883*y^18 + 267325*y^19 + 293465*y^20 + 233294*y^21 + 151934*y^22 + 79048*y^23 + 34218*y^24 + 11873*y^25 + 3367*y^26 + 719*y^27 + 121*y^28 + 13*y^29 + y^30)", "y^3*(-25 - 9*y - 11*y^2 - y^3 + 2*y^4 + y^5)*(-4 + 37*y - 153*y^2 + 372*y^3 - 600*y^4 + 718*y^5 - 746*y^6 + 690*y^7 - 492*y^8 + 265*y^9 - 193*y^10 + 90*y^11 - 40*y^12 + 17*y^13 - 3*y^14 + y^15)^2*(-49 + 316*y + 938*y^2 - 3114*y^3 - 7479*y^4 + 17127*y^5 - 59067*y^6 + 70114*y^7 - 50761*y^8 + 24680*y^9 - 9550*y^10 + 5430*y^11 - 3112*y^12 + 1319*y^13 - 354*y^14 - 7*y^15 + 18*y^16 - 2*y^17 - y^18 + y^19)", "(-1 + y)^3*(-1 + y + 8*y^2 + 11*y^3 + 5*y^4 + y^5)*(-1 + 18*y + 47*y^2 + 95*y^3 + 20*y^4 + 236*y^5 - 1185*y^6 + 2220*y^7 - 4181*y^8 + 6552*y^9 - 6371*y^10 + 4875*y^11 - 3339*y^12 + 1446*y^13 - 731*y^14 + 214*y^15 - 68*y^16 + 21*y^17 - 2*y^18 + y^19)*(49 + 182*y + 855*y^2 - 4459*y^3 + 889*y^4 - 1428*y^5 - 15460*y^6 - 44*y^7 + 80252*y^8 + 171046*y^9 + 243310*y^10 + 35390*y^11 - 177270*y^12 - 406566*y^13 - 313186*y^14 - 319068*y^15 - 144538*y^16 - 19031*y^17 + 168883*y^18 + 267325*y^19 + 293465*y^20 + 233294*y^21 + 151934*y^22 + 79048*y^23 + 34218*y^24 + 11873*y^25 + 3367*y^26 + 719*y^27 + 121*y^28 + 13*y^29 + y^30)", "(-1 + y)*(1 - 3*y + y^2)*(-1 + y + 3*y^3 + y^4 + y^5)*(-1 + 6*y - 25*y^2 + 99*y^3 - 232*y^4 + 360*y^5 - 621*y^6 + 884*y^7 - 945*y^8 + 1176*y^9 - 1011*y^10 + 915*y^11 - 743*y^12 + 466*y^13 - 311*y^14 + 154*y^15 - 72*y^16 + 25*y^17 - 6*y^18 + y^19)*(1849 - 32587*y + 279531*y^2 - 1545037*y^3 + 6149104*y^4 - 18681557*y^5 + 44899063*y^6 - 87463989*y^7 + 140601263*y^8 - 189156783*y^9 + 215420683*y^10 - 209689605*y^11 + 175988677*y^12 - 128472723*y^13 + 82369583*y^14 - 46900291*y^15 + 23985327*y^16 - 11090120*y^17 + 4600439*y^18 - 1650693*y^19 + 464108*y^20 - 70155*y^21 - 18413*y^22 + 18657*y^23 - 7441*y^24 + 1632*y^25 - 41*y^26 - 103*y^27 + 42*y^28 - 8*y^29 + y^30)", "(-1 + y)*(1 - 3*y + y^2)*(-1 - y - 3*y^2 - y^4 + y^5)*(-1 + 24*y - 258*y^2 + 1655*y^3 - 7103*y^4 + 21642*y^5 - 48539*y^6 + 82248*y^7 - 107641*y^8 + 110988*y^9 - 91720*y^10 + 61655*y^11 - 34128*y^12 + 15628*y^13 - 5912*y^14 + 1834*y^15 - 456*y^16 + 88*y^17 - 12*y^18 + y^19)*(1 - 19*y + 199*y^2 - 729*y^3 + 2568*y^4 - 4685*y^5 + 9779*y^6 - 6461*y^7 + 22819*y^8 - 5719*y^9 + 36631*y^10 + 8483*y^11 + 62717*y^12 + 42377*y^13 + 90795*y^14 + 69409*y^15 + 89031*y^16 + 59580*y^17 + 55043*y^18 + 29859*y^19 + 21280*y^20 + 8877*y^21 + 5211*y^22 + 1793*y^23 + 1019*y^24 + 336*y^25 + 183*y^26 + 53*y^27 + 22*y^28 + 4*y^29 + y^30)", "(-1 + y)^2*y*(-1 - 6*y - 7*y^2 + 15*y^3 - 7*y^4 + y^5)*(-1 + 10*y - 37*y^2 + 28*y^3 - 102*y^4 + 536*y^5 - 1268*y^6 + 1850*y^7 - 2189*y^8 + 2302*y^9 - 1923*y^10 + 1138*y^11 - 449*y^12 + 112*y^13 - 16*y^14 + y^15)^2*(-49 + 331*y - 1789*y^2 + 6554*y^3 - 16148*y^4 + 33602*y^5 - 52309*y^6 + 62880*y^7 - 67875*y^8 + 67629*y^9 - 59283*y^10 + 47580*y^11 - 36349*y^12 + 24339*y^13 - 12713*y^14 + 4816*y^15 - 1263*y^16 + 217*y^17 - 22*y^18 + y^19)", "(-1 + y)^2*y*(-1 - 6*y - 7*y^2 + 15*y^3 - 7*y^4 + y^5)*(-1 + 10*y - 37*y^2 + 28*y^3 - 102*y^4 + 536*y^5 - 1268*y^6 + 1850*y^7 - 2189*y^8 + 2302*y^9 - 1923*y^10 + 1138*y^11 - 449*y^12 + 112*y^13 - 16*y^14 + y^15)^2*(-49 + 331*y - 1789*y^2 + 6554*y^3 - 16148*y^4 + 33602*y^5 - 52309*y^6 + 62880*y^7 - 67875*y^8 + 67629*y^9 - 59283*y^10 + 47580*y^11 - 36349*y^12 + 24339*y^13 - 12713*y^14 + 4816*y^15 - 1263*y^16 + 217*y^17 - 22*y^18 + y^19)" ] }, "GeometricRepresentation":[ 1.47559e1, [ "J10_112_0", 1, "{16, 17}" ] ] } }