{ "Index":231, "Name":"10_147", "RolfsenName":"10_147", "DTname":"10n_24", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{7, -18, -11, 15, 1, -4, 17, 9, 12, -5}", "Acode":"{4, -9, -6, 8, 1, -3, 9, 5, 6, -3}", "PDcode":[ "{2, 8, 3, 7}", "{3, 18, 4, 19}", "{6, 11, 7, 12}", "{8, 16, 9, 15}", "{10, 2, 11, 1}", "{13, 4, 14, 5}", "{14, 18, 15, 17}", "{16, 10, 17, 9}", "{19, 13, 20, 12}", "{20, 5, 1, 6}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{9, 6, 4}", [], [ "{9, 6, 10, 1}", "{4, -6, 3, 2}", "{6, -3, 7, 1}", "{10, -3, 1, 1}", "{3, -9, 2, 2}", "{6, 1, 5, 2}", "{9, 5, 8, 2}" ], "{1, 7}", "{4}", 4 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 - a + b + a*u^2 - a^2*u^2 + a^3*b*u^2", "-b + u^2 - a*u^2 - 2*a*b*u^2 + a^2*b^2*u^2", "-1 - u + a^2*u - a*b*u + u^2 - 2*a*b*u^2 - b^2*u^2 + a^2*b^2*u^2 + 3*a*b^3*u^2 - 3*a^2*b^4*u^2 + a^3*b^5*u^2 - a^2*u^3 + u^4 - 4*a*b*u^4 + 6*a^2*b^2*u^4 - 4*a^3*b^3*u^4 + a^4*b^4*u^4", "u + a*b*u + u^2 - 2*b^2*u^2 + 2*a*b^3*u^2 + b^4*u^2 - 2*a*b^5*u^2 + a^2*b^6*u^2 + a^2*u^3 + 2*u^4 - 4*a*b*u^4 - 2*b^2*u^4 + 2*a^2*b^2*u^4 + 6*a*b^3*u^4 - 6*a^2*b^4*u^4 + 2*a^3*b^5*u^4 + u^6 - 4*a*b*u^6 + 6*a^2*b^2*u^6 - 4*a^3*b^3*u^6 + a^4*b^4*u^6" ], "TimingForPrimaryIdeals":0.118604 }, "v":{ "CheckEq":[ "1 - a + b + b*v^2 + b^2*v^2 + a*b^3*v^2", "-b + b^4*v^2", "-(b^2*v) + b^8*v^2", "-1 + v - a*b*v + b^2*v - b^4*v^2 - b^6*v^2 + a*b^7*v^2 + b^2*v^3 - b^8*v^4" ], "TimingForPrimaryIdeals":7.4594e-2 }, "PrimaryIdeals":[ { "IdealName":"J10_147_0", "Generators":[ "1752340181 + 3379396381*b + 25544272878*u + 23169984815*u^2 + 176703448037*u^3 + 97308280466*u^4 + 151135993974*u^5 - 84575633572*u^6 - 54203331339*u^7 - 59078167936*u^8 + 27449315591*u^9 + 24988144086*u^10 - 8167063895*u^11 - 2219758738*u^12 + 713770382*u^13", "53453066 + 3379396381*a - 98250605572*u + 15833682801*u^2 - 980654824264*u^3 - 542985232313*u^4 - 1075811807516*u^5 + 446831495390*u^6 + 324203132036*u^7 + 428415959877*u^8 - 162483063633*u^9 - 171036320231*u^10 + 51164430705*u^11 + 15016790197*u^12 - 4583934274*u^13", "1 + 6*u + 36*u^2 + 66*u^3 + 264*u^4 + 177*u^5 + 202*u^6 - 124*u^7 - 94*u^8 - 81*u^9 + 45*u^10 + 34*u^11 - 12*u^12 - 3*u^13 + u^14" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":5.7464000000000015e-2, "TimingZeroDimVars":7.8435e-2, "TimingmagmaVCompNormalize":7.9695e-2, "TimingNumberOfSols":0.14544, "TimingIsRadical":1.2869e-2, "TimingArcColoring":8.8451e-2, "TimingObstruction":3.0812e-2, "TimingComplexVolumeN":9.084121, "TimingaCuspShapeN":7.7293e-2, "TiminguValues":0.672435, "TiminguPolysN":2.9242e-2, "TiminguPolys":0.867251, "TimingaCuspShape":0.137052, "TimingRepresentationsN":0.137663, "TiminguValues_ij":0.224156, "TiminguPoly_ij":2.085924, "TiminguPolys_ij_N":6.2262000000000005e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":14, "IsRadical":true, "ArcColoring":[ [ "(-25569883862 - 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14281752374*u^6 - 6848861122*u^7 - 41188606702*u^8 + 4223561484*u^9 + 15210973688*u^10 - 2975320268*u^11 - 1323383795*u^12 + 326074994*u^13)\/3379396381" ], [ "(23531547375 - 49049283927*u + 151838198682*u^2 - 483121470449*u^3 - 173081514911*u^4 - 674820612836*u^5 + 208760614669*u^6 + 128958254768*u^7 + 263707241621*u^8 - 68655669160*u^9 - 103286392669*u^10 + 26685398002*u^11 + 9075197862*u^12 - 2570430232*u^13)\/3379396381", "(-4760031968 + 6012840054*u - 47613248232*u^2 + 44167448264*u^3 - 1271936093*u^4 + 104754782434*u^5 - 14281752374*u^6 - 6848861122*u^7 - 41188606702*u^8 + 4223561484*u^9 + 15210973688*u^10 - 2975320268*u^11 - 1323383795*u^12 + 326074994*u^13)\/3379396381" ], "{1, 0}", [ 1, "u^2" ] ], "Obstruction":-1, "ComplexVolumeN":[ "1.74438 + 2.05841*I", "1.74438 - 2.05841*I", "-1.83211 + 2.08733*I", "-1.83211 - 2.08733*I", "-0.11203 + 1.46789*I", "-0.11203 - 1.46789*I", "-3.57417 + 4.92202*I", "-3.57417 - 4.92202*I", "-13.2902 - 1.42119*I", "-13.2902 + 1.42119*I", "-8.54619 + 3.71322*I", "-8.54619 - 3.71322*I", "-12.2232 - 9.4176*I", "-12.2232 + 9.4176*I" ], "uPolysN":[ "29 - 32*u - 50*u^2 + 46*u^3 + 94*u^4 - 67*u^5 - 102*u^6 + 70*u^7 + 68*u^8 - 55*u^9 - 15*u^10 + 16*u^11 + 4*u^12 - 5*u^13 + u^14", "1 + 10*u + 23*u^2 - 66*u^3 + 239*u^4 - 341*u^5 + 306*u^6 - 347*u^7 + 239*u^8 - 118*u^9 + 88*u^10 - 17*u^11 + 15*u^12 - u^13 + u^14", "1 - 10*u + 29*u^2 - 20*u^3 + 61*u^4 - 3*u^5 + 92*u^6 + 31*u^7 + 91*u^8 + 28*u^9 + 46*u^10 + 9*u^11 + 11*u^12 + u^13 + u^14", "2 - 3*u + 7*u^2 - 10*u^3 + u^4 + 6*u^5 + 2*u^6 - 4*u^7 + 2*u^8 - 7*u^9 + 3*u^10 + 5*u^11 - 2*u^12 - 2*u^13 + u^14", "1 - 4*u + 3*u^2 - 2*u^3 + 15*u^4 - 5*u^5 + 10*u^6 - 5*u^7 + 7*u^8 + 4*u^9 + 6*u^10 - u^11 + u^12 + u^13 + u^14", "1 - 10*u + 29*u^2 - 20*u^3 + 61*u^4 - 3*u^5 + 92*u^6 + 31*u^7 + 91*u^8 + 28*u^9 + 46*u^10 + 9*u^11 + 11*u^12 + u^13 + u^14", "4 - 19*u - 7*u^2 + 42*u^3 + 133*u^4 + 114*u^5 - 20*u^6 - 146*u^7 - 130*u^8 - 21*u^9 + 59*u^10 + 61*u^11 + 30*u^12 + 8*u^13 + u^14", "2 - 3*u + 7*u^2 - 10*u^3 + u^4 + 6*u^5 + 2*u^6 - 4*u^7 + 2*u^8 - 7*u^9 + 3*u^10 + 5*u^11 - 2*u^12 - 2*u^13 + u^14", "1 + 6*u + 36*u^2 + 66*u^3 + 264*u^4 + 177*u^5 + 202*u^6 - 124*u^7 - 94*u^8 - 81*u^9 + 45*u^10 + 34*u^11 - 12*u^12 - 3*u^13 + u^14", "62 + 7*u + 163*u^2 - 41*u^3 + 37*u^4 - 103*u^5 + 15*u^6 + 18*u^7 + 132*u^8 + 85*u^9 + 85*u^10 + 31*u^11 + 17*u^12 + 3*u^13 + u^14" ], "uPolys":[ "29 - 32*u - 50*u^2 + 46*u^3 + 94*u^4 - 67*u^5 - 102*u^6 + 70*u^7 + 68*u^8 - 55*u^9 - 15*u^10 + 16*u^11 + 4*u^12 - 5*u^13 + u^14", "1 + 10*u + 23*u^2 - 66*u^3 + 239*u^4 - 341*u^5 + 306*u^6 - 347*u^7 + 239*u^8 - 118*u^9 + 88*u^10 - 17*u^11 + 15*u^12 - u^13 + u^14", "1 - 10*u + 29*u^2 - 20*u^3 + 61*u^4 - 3*u^5 + 92*u^6 + 31*u^7 + 91*u^8 + 28*u^9 + 46*u^10 + 9*u^11 + 11*u^12 + u^13 + u^14", "2 - 3*u + 7*u^2 - 10*u^3 + u^4 + 6*u^5 + 2*u^6 - 4*u^7 + 2*u^8 - 7*u^9 + 3*u^10 + 5*u^11 - 2*u^12 - 2*u^13 + u^14", "1 - 4*u + 3*u^2 - 2*u^3 + 15*u^4 - 5*u^5 + 10*u^6 - 5*u^7 + 7*u^8 + 4*u^9 + 6*u^10 - u^11 + u^12 + u^13 + u^14", "1 - 10*u + 29*u^2 - 20*u^3 + 61*u^4 - 3*u^5 + 92*u^6 + 31*u^7 + 91*u^8 + 28*u^9 + 46*u^10 + 9*u^11 + 11*u^12 + u^13 + u^14", "4 - 19*u - 7*u^2 + 42*u^3 + 133*u^4 + 114*u^5 - 20*u^6 - 146*u^7 - 130*u^8 - 21*u^9 + 59*u^10 + 61*u^11 + 30*u^12 + 8*u^13 + u^14", "2 - 3*u + 7*u^2 - 10*u^3 + u^4 + 6*u^5 + 2*u^6 - 4*u^7 + 2*u^8 - 7*u^9 + 3*u^10 + 5*u^11 - 2*u^12 - 2*u^13 + u^14", "1 + 6*u + 36*u^2 + 66*u^3 + 264*u^4 + 177*u^5 + 202*u^6 - 124*u^7 - 94*u^8 - 81*u^9 + 45*u^10 + 34*u^11 - 12*u^12 - 3*u^13 + u^14", "62 + 7*u + 163*u^2 - 41*u^3 + 37*u^4 - 103*u^5 + 15*u^6 + 18*u^7 + 132*u^8 + 85*u^9 + 85*u^10 + 31*u^11 + 17*u^12 + 3*u^13 + u^14" ], "aCuspShape":"-2 - (2*(14555671731 + 86737960081*u + 169984073068*u^2 + 612443247776*u^3 + 435919885977*u^4 + 466370943074*u^5 - 282078375842*u^6 - 232508754351*u^7 - 187411887280*u^8 + 108407599316*u^9 + 77707553536*u^10 - 27929633929*u^11 - 6825060036*u^12 + 2291812271*u^13))\/3379396381", "RepresentationsN":[ [ "u->-0.237387 + 0.876423 I", "a->0.004721 - 0.208169 I", "b->-0.869563 - 0.338885 I" ], [ "u->-0.237387 - 0.876423 I", "a->0.004721 + 0.208169 I", "b->-0.869563 + 0.338885 I" ], [ "u->-0.595439 + 0.915402 I", "a->0.91564 - 0.422475 I", "b->1.02705 + 0.729987 I" ], [ "u->-0.595439 - 0.915402 I", "a->0.91564 + 0.422475 I", "b->1.02705 - 0.729987 I" ], [ "u->0.021578 + 0.347833 I", "a->1.92553 - 1.06606 I", "b->0.029013 - 0.667088 I" ], [ "u->0.021578 - 0.347833 I", "a->1.92553 + 1.06606 I", "b->0.029013 + 0.667088 I" ], [ "u->-0.113601 + 0.16605 I", "a->-1.16417 + 5.61112 I", "b->0.064203 - 1.10971 I" ], [ "u->-0.113601 - 0.16605 I", "a->-1.16417 - 5.61112 I", "b->0.064203 + 1.10971 I" ], [ "u->2.25002 + 0.12421 I", "a->-0.037619 - 0.804931 I", "b->0.43823 + 1.90805 I" ], [ "u->2.25002 - 0.12421 I", "a->-0.037619 + 0.804931 I", "b->0.43823 - 1.90805 I" ], [ "u->-2.43987 + 0.07821 I", "a->-0.036182 - 0.696454 I", "b->0.47053 + 2.07372 I" ], [ "u->-2.43987 - 0.07821 I", "a->-0.036182 + 0.696454 I", "b->0.47053 - 2.07372 I" ], [ "u->2.6147 + 0.01753 I", "a->-0.107927 + 0.663193 I", "b->0.34053 - 2.14014 I" ], [ "u->2.6147 - 0.01753 I", "a->-0.107927 - 0.663193 I", "b->0.34053 + 2.14014 I" ] ], "Epsilon":0.491454, "uPolys_ij":[ "1 + 6*u + 36*u^2 + 66*u^3 + 264*u^4 + 177*u^5 + 202*u^6 - 124*u^7 - 94*u^8 - 81*u^9 + 45*u^10 + 34*u^11 - 12*u^12 - 3*u^13 + u^14", "1 - 36*u + 1032*u^2 - 12932*u^3 + 62176*u^4 - 85989*u^5 + 48568*u^6 + 6232*u^7 - 10976*u^8 + 9847*u^9 + 9449*u^10 + 2910*u^11 + 438*u^12 + 33*u^13 + u^14", "86897 + 51790*u + 253578*u^2 + 81240*u^3 + 341442*u^4 + 105921*u^5 + 236750*u^6 + 55824*u^7 + 33216*u^8 + 3471*u^9 + 1823*u^10 + 108*u^11 + 32*u^12 + 3*u^13 + u^14", "32 - 464*u + 2600*u^2 - 7124*u^3 + 11878*u^4 - 16233*u^5 + 17367*u^6 - 8731*u^7 + 5778*u^8 - 1490*u^9 + 697*u^10 - 131*u^11 + 41*u^12 - 4*u^13 + u^14", "2206 + 2777*u + 10109*u^2 + 11302*u^3 + 19953*u^4 + 18314*u^5 + 18856*u^6 + 11890*u^7 + 7180*u^8 + 2323*u^9 + 897*u^10 + 169*u^11 + 46*u^12 + 4*u^13 + u^14", "1 - 10*u + 29*u^2 - 20*u^3 + 61*u^4 - 3*u^5 + 92*u^6 + 31*u^7 + 91*u^8 + 28*u^9 + 46*u^10 + 9*u^11 + 11*u^12 + u^13 + u^14", "1 - 54*u + 2327*u^2 + 14070*u^3 + 33603*u^4 - 2287*u^5 - 39934*u^6 - 14085*u^7 + 24575*u^8 + 25318*u^9 + 10820*u^10 + 2593*u^11 + 367*u^12 + 29*u^13 + u^14", "4 + 48*u + 230*u^2 + 532*u^3 + 623*u^4 + 370*u^5 + 197*u^6 + 228*u^7 + 162*u^8 + 23*u^9 - 9*u^10 + 17*u^11 + 19*u^12 + 7*u^13 + u^14", "1 - 4*u + 3*u^2 - 2*u^3 + 15*u^4 - 5*u^5 + 10*u^6 - 5*u^7 + 7*u^8 + 4*u^9 + 6*u^10 - u^11 + u^12 + u^13 + u^14", "6508 - 12224*u + 11270*u^2 - 8268*u^3 + 41237*u^4 + 33968*u^5 - 40573*u^6 - 30902*u^7 + 41224*u^8 - 255*u^9 + 3811*u^10 + 55*u^11 + 109*u^12 + u^13 + u^14", "3844 + 20163*u + 31731*u^2 + 13683*u^3 + 13929*u^4 + 44359*u^5 + 50055*u^6 + 35602*u^7 + 25130*u^8 + 15301*u^9 + 6365*u^10 + 1683*u^11 + 273*u^12 + 25*u^13 + u^14", "2 - 3*u + 7*u^2 - 10*u^3 + u^4 + 6*u^5 + 2*u^6 - 4*u^7 + 2*u^8 - 7*u^9 + 3*u^10 + 5*u^11 - 2*u^12 - 2*u^13 + u^14", "7 - 8*u + 40*u^2 + 40*u^3 - 112*u^4 - 141*u^5 + 298*u^6 - 40*u^7 - 168*u^8 + 61*u^9 + 49*u^10 - 20*u^11 - 8*u^12 + 3*u^13 + u^14", "4 - 19*u - 7*u^2 + 42*u^3 + 133*u^4 + 114*u^5 - 20*u^6 - 146*u^7 - 130*u^8 - 21*u^9 + 59*u^10 + 61*u^11 + 30*u^12 + 8*u^13 + u^14", "29 - 32*u - 50*u^2 + 46*u^3 + 94*u^4 - 67*u^5 - 102*u^6 + 70*u^7 + 68*u^8 - 55*u^9 - 15*u^10 + 16*u^11 + 4*u^12 - 5*u^13 + u^14", "769 - 5192*u + 17196*u^2 - 34590*u^3 + 40974*u^4 - 28797*u^5 + 11610*u^6 + 844*u^7 + 24510*u^8 + 6395*u^9 + 6725*u^10 + 908*u^11 + 188*u^12 + 11*u^13 + u^14", "37 - 22*u + 114*u^2 - 104*u^3 + 460*u^4 - 373*u^5 + 662*u^6 - 496*u^7 + 544*u^8 - 109*u^9 + 165*u^10 + 18*u^11 - 24*u^12 - u^13 + u^14", "105239 - 203450*u - 157665*u^2 - 119482*u^3 + 598917*u^4 + 703149*u^5 + 387334*u^6 + 6985*u^7 - 34731*u^8 - 10812*u^9 + 2322*u^10 + 501*u^11 - 77*u^12 - 7*u^13 + u^14", "131644 - 386208*u + 635954*u^2 - 84792*u^3 + 2802359*u^4 + 4085642*u^5 + 4995439*u^6 + 3484250*u^7 + 2493690*u^8 + 211723*u^9 + 48963*u^10 + 2303*u^11 + 355*u^12 + 5*u^13 + u^14", "1 + 10*u + 23*u^2 - 66*u^3 + 239*u^4 - 341*u^5 + 306*u^6 - 347*u^7 + 239*u^8 - 118*u^9 + 88*u^10 - 17*u^11 + 15*u^12 - u^13 + u^14", "62 + 7*u + 163*u^2 - 41*u^3 + 37*u^4 - 103*u^5 + 15*u^6 + 18*u^7 + 132*u^8 + 85*u^9 + 85*u^10 + 31*u^11 + 17*u^12 + 3*u^13 + u^14", "286531 - 206484*u + 491135*u^2 - 462502*u^3 + 453983*u^4 - 93891*u^5 + 217116*u^6 + 173333*u^7 + 97363*u^8 + 20374*u^9 + 6338*u^10 + 683*u^11 + 141*u^12 + 7*u^13 + u^14", "1 - 42*u + 563*u^2 + 3262*u^3 + 9739*u^4 + 18385*u^5 + 23742*u^6 + 22583*u^7 + 16503*u^8 + 9182*u^9 + 3736*u^10 + 1057*u^11 + 195*u^12 + 21*u^13 + u^14", "4 + 24*u + 66*u^2 + 96*u^3 + 91*u^4 + 46*u^5 + 179*u^6 + 152*u^7 + 244*u^8 + 55*u^9 + 111*u^10 - 3*u^11 + 19*u^12 - u^13 + u^14", "841 + 3924*u + 10896*u^2 + 21720*u^3 + 33624*u^4 + 41295*u^5 + 40384*u^6 + 31096*u^7 + 18640*u^8 + 8603*u^9 + 3025*u^10 + 790*u^11 + 146*u^12 + 17*u^13 + u^14", "16 + 417*u + 2709*u^2 - 546*u^3 + 1805*u^4 + 4558*u^5 + 2604*u^6 + 866*u^7 + 1794*u^8 + 727*u^9 + 539*u^10 + 105*u^11 + 42*u^12 + 4*u^13 + u^14" ], "GeometricComponent":"{13, 14}", "uPolys_ij_N":[ "1 + 6*u + 36*u^2 + 66*u^3 + 264*u^4 + 177*u^5 + 202*u^6 - 124*u^7 - 94*u^8 - 81*u^9 + 45*u^10 + 34*u^11 - 12*u^12 - 3*u^13 + u^14", "1 - 36*u + 1032*u^2 - 12932*u^3 + 62176*u^4 - 85989*u^5 + 48568*u^6 + 6232*u^7 - 10976*u^8 + 9847*u^9 + 9449*u^10 + 2910*u^11 + 438*u^12 + 33*u^13 + u^14", "86897 + 51790*u + 253578*u^2 + 81240*u^3 + 341442*u^4 + 105921*u^5 + 236750*u^6 + 55824*u^7 + 33216*u^8 + 3471*u^9 + 1823*u^10 + 108*u^11 + 32*u^12 + 3*u^13 + u^14", "32 - 464*u + 2600*u^2 - 7124*u^3 + 11878*u^4 - 16233*u^5 + 17367*u^6 - 8731*u^7 + 5778*u^8 - 1490*u^9 + 697*u^10 - 131*u^11 + 41*u^12 - 4*u^13 + u^14", "2206 + 2777*u + 10109*u^2 + 11302*u^3 + 19953*u^4 + 18314*u^5 + 18856*u^6 + 11890*u^7 + 7180*u^8 + 2323*u^9 + 897*u^10 + 169*u^11 + 46*u^12 + 4*u^13 + u^14", "1 - 10*u + 29*u^2 - 20*u^3 + 61*u^4 - 3*u^5 + 92*u^6 + 31*u^7 + 91*u^8 + 28*u^9 + 46*u^10 + 9*u^11 + 11*u^12 + u^13 + u^14", "1 - 54*u + 2327*u^2 + 14070*u^3 + 33603*u^4 - 2287*u^5 - 39934*u^6 - 14085*u^7 + 24575*u^8 + 25318*u^9 + 10820*u^10 + 2593*u^11 + 367*u^12 + 29*u^13 + u^14", "4 + 48*u + 230*u^2 + 532*u^3 + 623*u^4 + 370*u^5 + 197*u^6 + 228*u^7 + 162*u^8 + 23*u^9 - 9*u^10 + 17*u^11 + 19*u^12 + 7*u^13 + u^14", "1 - 4*u + 3*u^2 - 2*u^3 + 15*u^4 - 5*u^5 + 10*u^6 - 5*u^7 + 7*u^8 + 4*u^9 + 6*u^10 - u^11 + u^12 + u^13 + u^14", "6508 - 12224*u + 11270*u^2 - 8268*u^3 + 41237*u^4 + 33968*u^5 - 40573*u^6 - 30902*u^7 + 41224*u^8 - 255*u^9 + 3811*u^10 + 55*u^11 + 109*u^12 + u^13 + u^14", "3844 + 20163*u + 31731*u^2 + 13683*u^3 + 13929*u^4 + 44359*u^5 + 50055*u^6 + 35602*u^7 + 25130*u^8 + 15301*u^9 + 6365*u^10 + 1683*u^11 + 273*u^12 + 25*u^13 + u^14", "2 - 3*u + 7*u^2 - 10*u^3 + u^4 + 6*u^5 + 2*u^6 - 4*u^7 + 2*u^8 - 7*u^9 + 3*u^10 + 5*u^11 - 2*u^12 - 2*u^13 + u^14", "7 - 8*u + 40*u^2 + 40*u^3 - 112*u^4 - 141*u^5 + 298*u^6 - 40*u^7 - 168*u^8 + 61*u^9 + 49*u^10 - 20*u^11 - 8*u^12 + 3*u^13 + u^14", "4 - 19*u - 7*u^2 + 42*u^3 + 133*u^4 + 114*u^5 - 20*u^6 - 146*u^7 - 130*u^8 - 21*u^9 + 59*u^10 + 61*u^11 + 30*u^12 + 8*u^13 + u^14", "29 - 32*u - 50*u^2 + 46*u^3 + 94*u^4 - 67*u^5 - 102*u^6 + 70*u^7 + 68*u^8 - 55*u^9 - 15*u^10 + 16*u^11 + 4*u^12 - 5*u^13 + u^14", "769 - 5192*u + 17196*u^2 - 34590*u^3 + 40974*u^4 - 28797*u^5 + 11610*u^6 + 844*u^7 + 24510*u^8 + 6395*u^9 + 6725*u^10 + 908*u^11 + 188*u^12 + 11*u^13 + u^14", "37 - 22*u + 114*u^2 - 104*u^3 + 460*u^4 - 373*u^5 + 662*u^6 - 496*u^7 + 544*u^8 - 109*u^9 + 165*u^10 + 18*u^11 - 24*u^12 - u^13 + u^14", "105239 - 203450*u - 157665*u^2 - 119482*u^3 + 598917*u^4 + 703149*u^5 + 387334*u^6 + 6985*u^7 - 34731*u^8 - 10812*u^9 + 2322*u^10 + 501*u^11 - 77*u^12 - 7*u^13 + u^14", "131644 - 386208*u + 635954*u^2 - 84792*u^3 + 2802359*u^4 + 4085642*u^5 + 4995439*u^6 + 3484250*u^7 + 2493690*u^8 + 211723*u^9 + 48963*u^10 + 2303*u^11 + 355*u^12 + 5*u^13 + u^14", "1 + 10*u + 23*u^2 - 66*u^3 + 239*u^4 - 341*u^5 + 306*u^6 - 347*u^7 + 239*u^8 - 118*u^9 + 88*u^10 - 17*u^11 + 15*u^12 - u^13 + u^14", "62 + 7*u + 163*u^2 - 41*u^3 + 37*u^4 - 103*u^5 + 15*u^6 + 18*u^7 + 132*u^8 + 85*u^9 + 85*u^10 + 31*u^11 + 17*u^12 + 3*u^13 + u^14", "286531 - 206484*u + 491135*u^2 - 462502*u^3 + 453983*u^4 - 93891*u^5 + 217116*u^6 + 173333*u^7 + 97363*u^8 + 20374*u^9 + 6338*u^10 + 683*u^11 + 141*u^12 + 7*u^13 + u^14", "1 - 42*u + 563*u^2 + 3262*u^3 + 9739*u^4 + 18385*u^5 + 23742*u^6 + 22583*u^7 + 16503*u^8 + 9182*u^9 + 3736*u^10 + 1057*u^11 + 195*u^12 + 21*u^13 + u^14", "4 + 24*u + 66*u^2 + 96*u^3 + 91*u^4 + 46*u^5 + 179*u^6 + 152*u^7 + 244*u^8 + 55*u^9 + 111*u^10 - 3*u^11 + 19*u^12 - u^13 + u^14", "841 + 3924*u + 10896*u^2 + 21720*u^3 + 33624*u^4 + 41295*u^5 + 40384*u^6 + 31096*u^7 + 18640*u^8 + 8603*u^9 + 3025*u^10 + 790*u^11 + 146*u^12 + 17*u^13 + u^14", "16 + 417*u + 2709*u^2 - 546*u^3 + 1805*u^4 + 4558*u^5 + 2604*u^6 + 866*u^7 + 1794*u^8 + 727*u^9 + 539*u^10 + 105*u^11 + 42*u^12 + 4*u^13 + u^14" ], "Multiplicity":1, "MinRepresentationVolume":[ "{9, 10}", 1.42119 ], "ij_list":[ [ "{1, 7}", "{3, 5}", "{6, 9}", "{6, 10}" ], [ "{9, 10}" ], [ "{2, 7}" ], [ "{4, 7}" ], [ "{2, 6}" ], [ "{2, 8}", "{3, 6}", "{3, 7}", "{4, 6}" ], [ "{2, 3}" ], [ "{1, 9}" ], [ "{1, 5}", "{1, 6}" ], [ "{5, 10}" ], [ "{1, 10}" ], [ "{4, 8}", "{5, 8}", "{5, 9}" ], [ "{1, 8}" ], [ "{4, 5}", "{7, 9}", "{8, 9}" ], [ "{1, 4}", "{2, 4}" ], [ "{8, 10}" ], [ "{3, 8}" ], [ "{7, 10}" ], [ "{2, 10}" ], [ "{2, 9}", "{3, 9}", "{5, 6}" ], [ "{1, 3}", "{3, 10}", "{4, 9}", "{5, 7}" ], [ "{4, 10}" ], [ "{3, 4}", "{6, 7}" ], [ "{2, 5}", "{6, 8}" ], [ "{1, 2}" ], [ "{7, 8}" ] ], "SortedReprnIndices":"{14, 13, 7, 8, 11, 12, 3, 4, 1, 2, 5, 6, 10, 9}", "aCuspShapeN":[ "4.1698471355661302956`5.003967908407865 - 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4.9985492401075696005`4.972856645582696*I" ], "Abelian":false }, { "IdealName":"J10_147_1", "Generators":[ "-1 + b - 4*u - u^2 - u^3", "7 + a + 17*u + 6*u^2 + 4*u^3", "1 + 4*u + 5*u^2 + 2*u^3 + u^4" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":5.5853e-2, "TimingZeroDimVars":7.0083e-2, "TimingmagmaVCompNormalize":7.1382e-2, "TimingNumberOfSols":4.9688e-2, "TimingIsRadical":2.8220000000000007e-3, "TimingArcColoring":7.738e-2, "TimingObstruction":3.342000000000002e-3, "TimingComplexVolumeN":4.044427, "TimingaCuspShapeN":1.8559000000000003e-2, "TiminguValues":0.64345, "TiminguPolysN":1.563e-3, "TiminguPolys":0.828306, "TimingaCuspShape":0.115488, "TimingRepresentationsN":4.7061000000000006e-2, "TiminguValues_ij":0.180767, "TiminguPolys_ij_N":3.279e-3 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":4, "IsRadical":true, "ArcColoring":[ [ "-7 - 17*u - 6*u^2 - 4*u^3", "1 + 4*u + 2*u^2 + u^3" ], [ "-6 - 17*u - 6*u^2 - 4*u^3", -1 ], [ "-7 - 17*u - 6*u^2 - 4*u^3", -1 ], [ "-7 - 17*u - 6*u^2 - 4*u^3", "1 + 4*u + u^2 + u^3" ], [ "4 + 5*u + 2*u^2 + u^3", "-3 - 5*u - 2*u^2 - u^3" ], [ 0, "u" ], [ "4 + 5*u + 2*u^2 + u^3", "-4 - 8*u - 3*u^2 - 2*u^3" ], [ "8 + 13*u + 5*u^2 + 3*u^3", "-4 - 8*u - 3*u^2 - 2*u^3" ], "{1, 0}", [ 1, "u^2" ] ], "Obstruction":1, "ComplexVolumeN":[ "0. - 2.02988*I", "0. + 2.02988*I", "0. + 2.02988*I", "0. - 2.02988*I" ], "uPolysN":[ "1 - 2*u + 5*u^2 - 4*u^3 + u^4", "1 - 4*u + 6*u^2 - 4*u^3 + u^4", "1 + 2*u^2 + u^4", "1 - u^2 + u^4", "1 + 2*u^2 + u^4", "1 + 2*u^2 + u^4", "1 - 2*u + 3*u^2 - 2*u^3 + u^4", "1 - u^2 + u^4", "1 + 4*u + 5*u^2 + 2*u^3 + u^4", "1 - u^2 + u^4" ], "uPolys":[ "1 - 2*u + 5*u^2 - 4*u^3 + u^4", "(-1 + u)^4", "(1 + u^2)^2", "1 - u^2 + u^4", "(1 + u^2)^2", "(1 + u^2)^2", "(1 - u + u^2)^2", "1 - u^2 + u^4", "1 + 4*u + 5*u^2 + 2*u^3 + u^4", "1 - u^2 + u^4" ], "aCuspShape":"-2 + 2*(7 + 16*u + 6*u^2 + 4*u^3)", "RepresentationsN":[ [ "u->-0.5 + 0.133975 I", "a->0.5 - 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2*u + 5*u^2 - 4*u^3 + u^4)*(29 - 32*u - 50*u^2 + 46*u^3 + 94*u^4 - 67*u^5 - 102*u^6 + 70*u^7 + 68*u^8 - 55*u^9 - 15*u^10 + 16*u^11 + 4*u^12 - 5*u^13 + u^14)", "(-1 + u)^4*(1 + u - 2*u^2 + u^3)*(1 + 10*u + 23*u^2 - 66*u^3 + 239*u^4 - 341*u^5 + 306*u^6 - 347*u^7 + 239*u^8 - 118*u^9 + 88*u^10 - 17*u^11 + 15*u^12 - u^13 + u^14)", "(1 + u^2)^2*(1 + u + u^3)*(1 - 10*u + 29*u^2 - 20*u^3 + 61*u^4 - 3*u^5 + 92*u^6 + 31*u^7 + 91*u^8 + 28*u^9 + 46*u^10 + 9*u^11 + 11*u^12 + u^13 + u^14)", "(1 + u)^3*(1 - u^2 + u^4)*(2 - 3*u + 7*u^2 - 10*u^3 + u^4 + 6*u^5 + 2*u^6 - 4*u^7 + 2*u^8 - 7*u^9 + 3*u^10 + 5*u^11 - 2*u^12 - 2*u^13 + u^14)", "(1 + u^2)^2*(1 + u + u^3)*(1 - 4*u + 3*u^2 - 2*u^3 + 15*u^4 - 5*u^5 + 10*u^6 - 5*u^7 + 7*u^8 + 4*u^9 + 6*u^10 - u^11 + u^12 + u^13 + u^14)", "(1 + u^2)^2*(1 + u + u^3)*(1 - 10*u + 29*u^2 - 20*u^3 + 61*u^4 - 3*u^5 + 92*u^6 + 31*u^7 + 91*u^8 + 28*u^9 + 46*u^10 + 9*u^11 + 11*u^12 + u^13 + u^14)", "(1 + u)^3*(1 - u + u^2)^2*(4 - 19*u - 7*u^2 + 42*u^3 + 133*u^4 + 114*u^5 - 20*u^6 - 146*u^7 - 130*u^8 - 21*u^9 + 59*u^10 + 61*u^11 + 30*u^12 + 8*u^13 + u^14)", "(1 + u)^3*(1 - u^2 + u^4)*(2 - 3*u + 7*u^2 - 10*u^3 + u^4 + 6*u^5 + 2*u^6 - 4*u^7 + 2*u^8 - 7*u^9 + 3*u^10 + 5*u^11 - 2*u^12 - 2*u^13 + u^14)", "(1 + u + u^3)*(1 + 4*u + 5*u^2 + 2*u^3 + u^4)*(1 + 6*u + 36*u^2 + 66*u^3 + 264*u^4 + 177*u^5 + 202*u^6 - 124*u^7 - 94*u^8 - 81*u^9 + 45*u^10 + 34*u^11 - 12*u^12 - 3*u^13 + u^14)", "u^3*(1 - u^2 + u^4)*(62 + 7*u + 163*u^2 - 41*u^3 + 37*u^4 - 103*u^5 + 15*u^6 + 18*u^7 + 132*u^8 + 85*u^9 + 85*u^10 + 31*u^11 + 17*u^12 + 3*u^13 + u^14)" ], "RileyPolyC":[ "(-1 + 5*y - 2*y^2 + y^3)*(1 + 6*y + 11*y^2 - 6*y^3 + y^4)*(841 - 3924*y + 10896*y^2 - 21720*y^3 + 33624*y^4 - 41295*y^5 + 40384*y^6 - 31096*y^7 + 18640*y^8 - 8603*y^9 + 3025*y^10 - 790*y^11 + 146*y^12 - 17*y^13 + y^14)", "(-1 + y)^4*(-1 + 5*y - 2*y^2 + y^3)*(1 - 54*y + 2327*y^2 + 14070*y^3 + 33603*y^4 - 2287*y^5 - 39934*y^6 - 14085*y^7 + 24575*y^8 + 25318*y^9 + 10820*y^10 + 2593*y^11 + 367*y^12 + 29*y^13 + y^14)", "(1 + y)^4*(-1 + y + 2*y^2 + y^3)*(1 - 42*y + 563*y^2 + 3262*y^3 + 9739*y^4 + 18385*y^5 + 23742*y^6 + 22583*y^7 + 16503*y^8 + 9182*y^9 + 3736*y^10 + 1057*y^11 + 195*y^12 + 21*y^13 + y^14)", "(-1 + y)^3*(1 - y + y^2)^2*(4 + 19*y - 7*y^2 - 42*y^3 + 133*y^4 - 114*y^5 - 20*y^6 + 146*y^7 - 130*y^8 + 21*y^9 + 59*y^10 - 61*y^11 + 30*y^12 - 8*y^13 + y^14)", "(1 + y)^4*(-1 + y + 2*y^2 + y^3)*(1 - 10*y + 23*y^2 + 66*y^3 + 239*y^4 + 341*y^5 + 306*y^6 + 347*y^7 + 239*y^8 + 118*y^9 + 88*y^10 + 17*y^11 + 15*y^12 + y^13 + y^14)", "(1 + y)^4*(-1 + y + 2*y^2 + y^3)*(1 - 42*y + 563*y^2 + 3262*y^3 + 9739*y^4 + 18385*y^5 + 23742*y^6 + 22583*y^7 + 16503*y^8 + 9182*y^9 + 3736*y^10 + 1057*y^11 + 195*y^12 + 21*y^13 + y^14)", "(-1 + y)^3*(1 + y + y^2)^2*(16 - 417*y + 2709*y^2 + 546*y^3 + 1805*y^4 - 4558*y^5 + 2604*y^6 - 866*y^7 + 1794*y^8 - 727*y^9 + 539*y^10 - 105*y^11 + 42*y^12 - 4*y^13 + y^14)", "(-1 + y)^3*(1 - y + y^2)^2*(4 + 19*y - 7*y^2 - 42*y^3 + 133*y^4 - 114*y^5 - 20*y^6 + 146*y^7 - 130*y^8 + 21*y^9 + 59*y^10 - 61*y^11 + 30*y^12 - 8*y^13 + y^14)", "(-1 + y + 2*y^2 + y^3)*(1 - 6*y + 11*y^2 + 6*y^3 + y^4)*(1 + 36*y + 1032*y^2 + 12932*y^3 + 62176*y^4 + 85989*y^5 + 48568*y^6 - 6232*y^7 - 10976*y^8 - 9847*y^9 + 9449*y^10 - 2910*y^11 + 438*y^12 - 33*y^13 + y^14)", "y^3*(1 - y + y^2)^2*(3844 + 20163*y + 31731*y^2 + 13683*y^3 + 13929*y^4 + 44359*y^5 + 50055*y^6 + 35602*y^7 + 25130*y^8 + 15301*y^9 + 6365*y^10 + 1683*y^11 + 273*y^12 + 25*y^13 + y^14)" ] }, "GeometricRepresentation":[ 9.4176, [ "J10_147_0", 1, "{13, 14}" ] ] } }