{ "Index":181, "Name":"10_97", "RolfsenName":"10_97", "DTname":"10a_12", "TunnelNumber":2, "BridgeNumber":"Not implemented", "Hyperbolic":true, "Diagram":{ "Scode":"{11, 17, -13, 5, 19, -7, 1, 9, 3, 15}", "Acode":"{6, 9, -7, 3, 10, -4, 1, 5, 2, 8}", "PDcode":[ "{2, 12, 3, 11}", "{4, 18, 5, 17}", "{6, 13, 7, 14}", "{8, 6, 9, 5}", "{10, 20, 11, 19}", "{12, 7, 13, 8}", "{14, 2, 15, 1}", "{16, 10, 17, 9}", "{18, 4, 19, 3}", "{20, 16, 1, 15}" ], "CBtype":"{3, 0}", "ParabolicReps":{ "SolvingSeq":[ "{3, 7, 9}", [], [ "{3, -7, 4, 1}", "{4, 3, 5, 1}", "{3, 9, 2, 2}", "{9, 2, 10, 1}", "{7, -4, 6, 2}", "{2, 6, 1, 2}", "{9, 5, 8, 2}" ], "{5, 7}", "{10}", 10 ], "SolvingSeqIdx":1, "Comps":{ "u":{ "CheckEq":[ "1 + a*b - b^2 + 2*a*b^3 - b^4 + a*b^5 + u + u^2 + a^2*u^2 - a*b*u^2 + 2*a^2*b^2*u^2 - b^4*u^2 + a^2*b^4*u^2 + a*b^5*u^2", "b^2 + 2*b^4 + b^6 - u - u^2 + a*b*u^2 + 2*a*b^3*u^2 + b^4*u^2 + a*b^5*u^2 + b^6*u^2 - u^3", "-a - b - u + 2*a*b*u - a^2*b^2*u - a*u^2 - 2*b*u^2 - 2*u^3 + 4*a*b*u^3 + 2*b^2*u^3 - 2*a^2*b^2*u^3 - 2*a*b^3*u^3 - a*u^4 - b*u^4 - 3*u^5 + 6*a*b*u^5 + 2*b^2*u^5 - 3*a^2*b^2*u^5 - 2*a*b^3*u^5 - b^4*u^5 - 2*u^7 + 4*a*b*u^7 + 2*b^2*u^7 - 2*a^2*b^2*u^7 - 2*a*b^3*u^7 - u^9 + 2*a*b*u^9 - a^2*b^2*u^9", "-b + u + b^2*u - a*b^3*u + b*u^2 + u^3 - 2*a*b*u^3 + a^2*b^2*u^3 - b^4*u^3 + a*u^4 + b*u^4 + 3*u^5 - 6*a*b*u^5 - 2*b^2*u^5 + 3*a^2*b^2*u^5 + 2*a*b^3*u^5 + b^4*u^5 + 4*u^7 - 8*a*b*u^7 - 4*b^2*u^7 + 4*a^2*b^2*u^7 + 4*a*b^3*u^7 + b^4*u^7 + 3*u^9 - 6*a*b*u^9 - 2*b^2*u^9 + 3*a^2*b^2*u^9 + 2*a*b^3*u^9 + u^11 - 2*a*b*u^11 + a^2*b^2*u^11" ], "TimingForPrimaryIdeals":0.155908 }, "v":{ "CheckEq":[ "b^2 + 2*b^4 + b^6", "1 + a*b - b^2 + 2*a*b^3 - b^4 + a*b^5 - v", "-b + b^4*v", "-a - b + v - b^2*v + a*b^3*v + b^4*v^3" ], "TimingForPrimaryIdeals":0.102491 }, "PrimaryIdeals":[ { "IdealName":"J10_97_0", "Generators":[ "-172998039 + 188712037*b + 260125274*u - 105372484*u^2 + 443806437*u^3 - 100664986*u^4 + 300848213*u^5 + 79826738*u^6 + 115283706*u^7 + 52683829*u^8 + 119229693*u^9 + 54977610*u^10 + 108363904*u^11 + 33841913*u^12 + 51377479*u^13 + 14499331*u^14 + 18940720*u^15 + 2736614*u^16", "1554469489 + 754848148*a - 2549648292*u + 4241958688*u^2 - 2720110075*u^3 + 5169202658*u^4 - 2171011068*u^5 + 3504475510*u^6 + 711824252*u^7 + 1531427315*u^8 + 364545024*u^9 + 1406479994*u^10 + 254358195*u^11 + 1073160183*u^12 + 44757634*u^13 + 472229899*u^14 + 26934984*u^15 + 178471267*u^16", "-4 + 17*u - 18*u^2 + 36*u^3 - 21*u^4 + 38*u^5 - 12*u^6 + 22*u^7 + 4*u^8 + 11*u^9 + 2*u^10 + 10*u^11 + u^12 + 7*u^13 + 3*u^15 + u^17" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.6631e-2, "TimingZeroDimVars":8.119300000000003e-2, "TimingmagmaVCompNormalize":8.251e-2, "TimingNumberOfSols":0.175128, "TimingIsRadical":1.5290999999999999e-2, "TimingArcColoring":7.3979e-2, "TimingObstruction":3.9493e-2, "TimingComplexVolumeN":1.4867885000000001e1, "TimingaCuspShapeN":9.422599999999999e-2, "TiminguValues":0.680214, "TiminguPolysN":3.7457e-2, "TiminguPolys":0.8739, "TimingaCuspShape":0.129373, "TimingRepresentationsN":0.16185, "TiminguValues_ij":0.207457, "TiminguPoly_ij":1.819057, "TiminguPolys_ij_N":6.9776e-2 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":17, "IsRadical":true, "ArcColoring":[ [ "(1900465567 - 2692474766*u + 4452703656*u^2 - 3230298875*u^3 + 5370532630*u^4 - 2395283420*u^5 + 3344822034*u^6 + 481256840*u^7 + 1426059657*u^8 + 126085638*u^9 + 1296524774*u^10 + 37630387*u^11 + 1005476357*u^12 - 57997324*u^13 + 443231237*u^14 - 10946456*u^15 + 172998039*u^16)\/754848148", "(-356942534 + 739771025*u - 331417257*u^2 + 1091503462*u^3 - 513893266*u^4 + 806352744*u^5 + 14677932*u^6 + 210946182*u^7 + 1030408*u^8 + 215878311*u^9 - 3801245*u^10 + 189116338*u^11 - 37943464*u^12 + 88069343*u^13 - 22378817*u^14 + 31591951*u^15 - 13467492*u^16)\/377424074" ], [ "(1792147607 - 2513324136*u + 4017581136*u^2 - 3185989577*u^3 + 4780337802*u^4 - 2610836876*u^5 + 3353630030*u^6 + 197356180*u^7 + 1041553893*u^8 - 119503556*u^9 + 1113214206*u^10 - 18492323*u^11 + 901661173*u^12 - 103557902*u^13 + 428252193*u^14 + 10893112*u^15 + 190934877*u^16)\/754848148", "(-173231345 + 399979181*u - 51895003*u^2 + 605727090*u^3 + 46156514*u^4 + 559294908*u^5 + 257566931*u^6 + 296643730*u^7 + 214931823*u^8 + 318307269*u^9 + 200299549*u^10 + 233553484*u^11 + 103111693*u^12 + 112158947*u^13 + 49898615*u^14 + 38105904*u^15 + 5979434*u^16)\/188712037" ], "{1, 0}", [ 1, "-u^2" ], [ "1 + u^2", "-u^2" ], [ "-u", "u + u^3" ], [ 0, "u" ], [ "(-1345016141 + 2910584198*u - 3813420060*u^2 + 3822484301*u^3 - 4345611478*u^4 + 3109043864*u^5 - 2624514670*u^6 + 166801912*u^7 - 632315719*u^8 + 454735506*u^9 - 798099514*u^10 + 239215427*u^11 - 763983627*u^12 + 199594460*u^13 - 367270419*u^14 + 23917736*u^15 - 173231345*u^16)\/754848148", "(381869754 - 726872651*u + 461751825*u^2 - 1428037218*u^3 + 411821420*u^4 - 1237593762*u^5 - 159809176*u^6 - 423468632*u^7 - 283191664*u^8 - 529364877*u^9 - 250686655*u^10 - 398067282*u^11 - 104713600*u^12 - 217441483*u^13 - 51778951*u^14 - 72276219*u^15 + 5446556*u^16)\/377424074" ], [ "(-1554469489 + 2549648292*u - 4241958688*u^2 + 2720110075*u^3 - 5169202658*u^4 + 2171011068*u^5 - 3504475510*u^6 - 711824252*u^7 - 1531427315*u^8 - 364545024*u^9 - 1406479994*u^10 - 254358195*u^11 - 1073160183*u^12 - 44757634*u^13 - 472229899*u^14 - 26934984*u^15 - 178471267*u^16)\/754848148", "(172998039 - 260125274*u + 105372484*u^2 - 443806437*u^3 + 100664986*u^4 - 300848213*u^5 - 79826738*u^6 - 115283706*u^7 - 52683829*u^8 - 119229693*u^9 - 54977610*u^10 - 108363904*u^11 - 33841913*u^12 - 51377479*u^13 - 14499331*u^14 - 18940720*u^15 - 2736614*u^16)\/188712037" ], [ "(-1464155915 + 2811201154*u - 3934019724*u^2 + 3689014713*u^3 - 4581798730*u^4 + 2932159716*u^5 - 2997718202*u^6 - 88555632*u^7 - 966548925*u^8 + 152930942*u^9 - 1095716062*u^10 + 22227775*u^11 - 927502105*u^12 + 95133180*u^13 - 422894005*u^14 + 4434144*u^15 - 179626965*u^16)\/377424074", "(359253930 - 794751245*u + 211042108*u^2 - 1266275508*u^3 + 41575776*u^4 - 1122012970*u^5 - 388318068*u^6 - 477037514*u^7 - 314976114*u^8 - 504673845*u^9 - 256092436*u^10 - 350276794*u^11 - 100927370*u^12 - 164943325*u^13 - 47566590*u^14 - 57993445*u^15 - 2217072*u^16)\/188712037" ] ], "Obstruction":-1, "ComplexVolumeN":[ "-0.34103 - 1.75255*I", "-0.34103 + 1.75255*I", "-1.15632 + 2.35456*I", "-1.15632 - 2.35456*I", "-2.94308 + 1.91475*I", "-2.94308 - 1.91475*I", "9.3299 - 8.56729*I", "9.3299 + 8.56729*I", "7.90214 - 1.9795*I", "7.90214 + 1.9795*I", "7.7059 + 14.8527*I", "7.7059 - 14.8527*I", "1.26847 - 6.54787*I", "1.26847 + 6.54787*I", "5.81019 - 5.32225*I", "5.81019 + 5.32225*I", -0.869406 ], "uPolysN":[ "1\/4 + u^2\/4 + u^3\/2 - (3*u^4)\/2 + (5*u^5)\/2 - 7*u^6 + (17*u^7)\/2 - (49*u^8)\/4 + (27*u^9)\/2 - (29*u^10)\/4 + 15*u^11 - (3*u^12)\/4 + 14*u^13 + u^14\/2 + (17*u^15)\/4 + u^16\/2 + u^17", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17", "4 + 17*u + 18*u^2 + 36*u^3 + 21*u^4 + 38*u^5 + 12*u^6 + 22*u^7 - 4*u^8 + 11*u^9 - 2*u^10 + 10*u^11 - u^12 + 7*u^13 + 3*u^15 + u^17", "-16 + 145*u + 732*u^2 + 1736*u^3 + 2643*u^4 + 3058*u^5 + 2908*u^6 + 2494*u^7 + 1924*u^8 + 1351*u^9 + 816*u^10 + 458*u^11 + 249*u^12 + 131*u^13 + 62*u^14 + 23*u^15 + 6*u^16 + u^17", "32 - 24*u + 118*u^2 - 79*u^3 - 55*u^4 + 472*u^5 - 1070*u^6 + 1648*u^7 - 1138*u^8 + 764*u^9 - 394*u^10 + 299*u^11 - 145*u^12 + 62*u^13 - 16*u^14 + 7*u^15 - 3*u^16 + u^17", "4 + 17*u + 18*u^2 + 36*u^3 + 21*u^4 + 38*u^5 + 12*u^6 + 22*u^7 - 4*u^8 + 11*u^9 - 2*u^10 + 10*u^11 - u^12 + 7*u^13 + 3*u^15 + u^17", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17", "1\/4 + u^2\/4 + u^3\/2 - (3*u^4)\/2 + (5*u^5)\/2 - 7*u^6 + (17*u^7)\/2 - (49*u^8)\/4 + (27*u^9)\/2 - (29*u^10)\/4 + 15*u^11 - (3*u^12)\/4 + 14*u^13 + u^14\/2 + (17*u^15)\/4 + u^16\/2 + u^17", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17" ], "uPolys":[ "4*(1 + u^2 + 2*u^3 - 6*u^4 + 10*u^5 - 28*u^6 + 34*u^7 - 49*u^8 + 54*u^9 - 29*u^10 + 60*u^11 - 3*u^12 + 56*u^13 + 2*u^14 + 17*u^15 + 2*u^16 + 4*u^17)", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17", "4 + 17*u + 18*u^2 + 36*u^3 + 21*u^4 + 38*u^5 + 12*u^6 + 22*u^7 - 4*u^8 + 11*u^9 - 2*u^10 + 10*u^11 - u^12 + 7*u^13 + 3*u^15 + u^17", "-16 + 145*u + 732*u^2 + 1736*u^3 + 2643*u^4 + 3058*u^5 + 2908*u^6 + 2494*u^7 + 1924*u^8 + 1351*u^9 + 816*u^10 + 458*u^11 + 249*u^12 + 131*u^13 + 62*u^14 + 23*u^15 + 6*u^16 + u^17", "32 - 24*u + 118*u^2 - 79*u^3 - 55*u^4 + 472*u^5 - 1070*u^6 + 1648*u^7 - 1138*u^8 + 764*u^9 - 394*u^10 + 299*u^11 - 145*u^12 + 62*u^13 - 16*u^14 + 7*u^15 - 3*u^16 + u^17", "4 + 17*u + 18*u^2 + 36*u^3 + 21*u^4 + 38*u^5 + 12*u^6 + 22*u^7 - 4*u^8 + 11*u^9 - 2*u^10 + 10*u^11 - u^12 + 7*u^13 + 3*u^15 + u^17", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17", "4*(1 + u^2 + 2*u^3 - 6*u^4 + 10*u^5 - 28*u^6 + 34*u^7 - 49*u^8 + 54*u^9 - 29*u^10 + 60*u^11 - 3*u^12 + 56*u^13 + 2*u^14 + 17*u^15 + 2*u^16 + 4*u^17)", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17" ], "aCuspShape":"-6 + (-1312507284 - 9028153643*u + 2329664169*u^2 - 13017863346*u^3 + 4825519036*u^4 - 14553529976*u^5 + 4734951192*u^6 - 3290688810*u^7 - 2141633170*u^8 - 3625415785*u^9 - 67661055*u^10 - 1388360758*u^11 + 1540548150*u^12 - 957004501*u^13 + 833130067*u^14 - 89774747*u^15 + 613219892*u^16)\/754848148", "RepresentationsN":[ [ "u->-0.417221 + 0.885126 I", "a->-0.476552 + 0.009774 I", "b->-0.222604 + 0.163997 I" ], [ "u->-0.417221 - 0.885126 I", "a->-0.476552 - 0.009774 I", "b->-0.222604 - 0.163997 I" ], [ "u->0.59762 + 0.869356 I", "a->-0.334759 + 0.96295 I", "b->1.33587 + 0.125893 I" ], [ "u->0.59762 - 0.869356 I", "a->-0.334759 - 0.96295 I", "b->1.33587 - 0.125893 I" ], [ "u->0.236791 + 0.896556 I", "a->0.903548 + 1.01634 I", "b->0.840094 - 0.523489 I" ], [ "u->0.236791 - 0.896556 I", "a->0.903548 - 1.01634 I", "b->0.840094 + 0.523489 I" ], [ "u->0.979244 + 0.594888 I", "a->0.2694 + 1.5795 I", "b->-0.44756 - 1.37873 I" ], [ "u->0.979244 - 0.594888 I", "a->0.2694 - 1.5795 I", "b->-0.44756 + 1.37873 I" ], [ "u->-1.19853 + 0.485201 I", "a->-0.11385 + 1.41682 I", "b->-0.0475 - 1.22964 I" ], [ "u->-1.19853 - 0.485201 I", "a->-0.11385 - 1.41682 I", "b->-0.0475 + 1.22964 I" ], [ "u->0.745598 + 1.11411 I", "a->-1.29641 - 1.54585 I", "b->-0.53774 + 1.38258 I" ], [ "u->0.745598 - 1.11411 I", "a->-1.29641 + 1.54585 I", "b->-0.53774 - 1.38258 I" ], [ "u->-0.203786 + 1.34517 I", "a->-0.540937 + 0.304824 I", "b->-0.347263 - 1.12236 I" ], [ "u->-0.203786 - 1.34517 I", "a->-0.540937 - 0.304824 I", "b->-0.347263 + 1.12236 I" ], [ "u->-0.87723 + 1.18507 I", "a->0.723215 - 1.18838 I", "b->0.161092 + 1.19093 I" ], [ "u->-0.87723 - 1.18507 I", "a->0.723215 + 1.18838 I", "b->0.161092 - 1.19093 I" ], [ "u->0.275016", "a->-1.51732", "b->0.531228" ] ], "Epsilon":1.42079, "uPolys_ij":[ "4 + 17*u + 18*u^2 + 36*u^3 + 21*u^4 + 38*u^5 + 12*u^6 + 22*u^7 - 4*u^8 + 11*u^9 - 2*u^10 + 10*u^11 - u^12 + 7*u^13 + 3*u^15 + u^17", "-16 + 145*u + 732*u^2 + 1736*u^3 + 2643*u^4 + 3058*u^5 + 2908*u^6 + 2494*u^7 + 1924*u^8 + 1351*u^9 + 816*u^10 + 458*u^11 + 249*u^12 + 131*u^13 + 62*u^14 + 23*u^15 + 6*u^16 + u^17", "256 + 44449*u - 52192*u^2 + 124220*u^3 - 159443*u^4 + 240010*u^5 - 263412*u^6 + 245006*u^7 - 146996*u^8 + 66379*u^9 - 18768*u^10 + 4726*u^11 - 857*u^12 + 263*u^13 - 110*u^14 + 47*u^15 - 10*u^16 + u^17", "292 + 569*u - 802*u^2 + 2636*u^3 + 4469*u^4 + 9214*u^5 + 3662*u^6 + 5966*u^7 + 2874*u^8 + 3017*u^9 - 50*u^10 + 586*u^11 + 29*u^12 + 137*u^13 + 2*u^14 + 7*u^15 + u^17", "1024 - 6976*u + 6612*u^2 + 65045*u^3 - 168647*u^4 + 101812*u^5 - 252832*u^6 + 943486*u^7 - 640082*u^8 + 418478*u^9 - 147848*u^10 + 51057*u^11 - 10607*u^12 + 2554*u^13 - 340*u^14 + 77*u^15 - 5*u^16 + u^17", "776 + 912*u + 2440*u^2 + 7889*u^3 + 4121*u^4 + 5716*u^5 - 2888*u^6 - 890*u^7 - 3422*u^8 - 242*u^9 - 620*u^10 + 331*u^11 + 71*u^12 + 168*u^13 + 54*u^14 + 27*u^15 + 5*u^16 + u^17", "4*(479 + 512*u - 1717*u^2 + 1376*u^3 + 3598*u^4 - 3398*u^5 - 640*u^6 + 5126*u^7 - 1273*u^8 + 150*u^9 - 267*u^10 + 1306*u^11 + 285*u^12 + 290*u^13 - 88*u^14 + 7*u^15 - 6*u^16 + 4*u^17)", "4*(1 + 4*u + 25*u^2 + 296*u^3 + 40*u^4 + 770*u^5 + 56*u^6 + 1390*u^7 - 9*u^8 + 1594*u^9 - 43*u^10 + 958*u^11 + 9*u^12 + 288*u^13 - 4*u^14 + 45*u^15 - 2*u^16 + 4*u^17)", "4*(1 + 8*u + 27*u^2 + 94*u^3 + 332*u^4 + 642*u^5 + 862*u^6 + 1492*u^7 + 1061*u^8 + 1134*u^9 + 399*u^10 + 442*u^11 + 101*u^12 + 172*u^13 + 50*u^14 + 47*u^15 + 10*u^16 + 4*u^17)", "4*(361 + 2200*u + 6769*u^2 + 14112*u^3 + 16062*u^4 + 19932*u^5 - 8318*u^6 - 4284*u^7 - 31863*u^8 + 21258*u^9 + 11451*u^10 - 6920*u^11 - 1605*u^12 + 1004*u^13 + 140*u^14 - 83*u^15 - 6*u^16 + 4*u^17)", "32 - 24*u + 118*u^2 - 79*u^3 - 55*u^4 + 472*u^5 - 1070*u^6 + 1648*u^7 - 1138*u^8 + 764*u^9 - 394*u^10 + 299*u^11 - 145*u^12 + 62*u^13 - 16*u^14 + 7*u^15 - 3*u^16 + u^17", "4*(433 + 2074*u + 5647*u^2 + 11890*u^3 + 15478*u^4 + 15634*u^5 + 9994*u^6 + 5486*u^7 - 1521*u^8 - 5538*u^9 - 3381*u^10 + 180*u^11 + 1135*u^12 + 402*u^13 - 136*u^14 - 75*u^15 + 6*u^16 + 4*u^17)", "4*(1 + u^2 + 2*u^3 - 6*u^4 + 10*u^5 - 28*u^6 + 34*u^7 - 49*u^8 + 54*u^9 - 29*u^10 + 60*u^11 - 3*u^12 + 56*u^13 + 2*u^14 + 17*u^15 + 2*u^16 + 4*u^17)", "4*(167 + 720*u + 1801*u^2 + 4944*u^3 + 10760*u^4 + 18846*u^5 + 25374*u^6 + 26548*u^7 + 22369*u^8 + 15576*u^9 + 9247*u^10 + 4808*u^11 + 2125*u^12 + 858*u^13 + 262*u^14 + 83*u^15 + 14*u^16 + 4*u^17)", "4*(41 + 314*u + 1123*u^2 + 2328*u^3 + 2918*u^4 + 2512*u^5 + 2278*u^6 + 2372*u^7 + 1173*u^8 - 1072*u^9 - 1723*u^10 - 358*u^11 + 585*u^12 + 284*u^13 - 64*u^14 - 45*u^15 + 6*u^16 + 4*u^17)", "16*(1346 + 13545*u + 62353*u^2 + 175420*u^3 + 345968*u^4 + 537146*u^5 + 737842*u^6 + 954070*u^7 + 1117724*u^8 + 1097553*u^9 + 855121*u^10 + 513718*u^11 + 233776*u^12 + 79069*u^13 + 19299*u^14 + 3225*u^15 + 332*u^16 + 16*u^17)", "4*(1 + 22*u + 293*u^2 + 2190*u^3 + 9860*u^4 + 28840*u^5 + 41004*u^6 + 30902*u^7 + 257*u^8 - 13632*u^9 - 5329*u^10 + 2118*u^11 + 1745*u^12 - 10*u^13 - 250*u^14 - 31*u^15 + 18*u^16 + 4*u^17)", "8 - 4*u - 22*u^2 + 141*u^3 + 547*u^4 + 1022*u^5 + 1120*u^6 + 832*u^7 + 1838*u^8 + 5026*u^9 + 7914*u^10 + 7835*u^11 + 5255*u^12 + 2442*u^13 + 774*u^14 + 159*u^15 + 19*u^16 + u^17", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17", "16*(1 - 2*u - 11*u^2 + 72*u^3 - 158*u^4 + 56*u^5 + 412*u^6 - 614*u^7 - 1027*u^8 + 5194*u^9 - 9645*u^10 + 11018*u^11 - 9131*u^12 + 5736*u^13 - 2392*u^14 + 729*u^15 - 132*u^16 + 16*u^17)", "1 + 8*u + 166*u^2 - 1117*u^4 + 2024*u^5 - 1854*u^6 + 1670*u^7 - 1743*u^8 + 1058*u^9 + 140*u^10 - 666*u^11 + 396*u^12 - 36*u^13 - 71*u^14 + 41*u^15 - 10*u^16 + u^17", "16*(236 + 1677*u + 11471*u^2 + 50380*u^3 + 125420*u^4 + 179552*u^5 + 100690*u^6 - 50616*u^7 - 83906*u^8 - 7969*u^9 + 34039*u^10 + 12690*u^11 - 6762*u^12 - 4441*u^13 - 273*u^14 + 457*u^15 + 148*u^16 + 16*u^17)" ], "GeometricComponent":"{11, 12}", "uPolys_ij_N":[ "4 + 17*u + 18*u^2 + 36*u^3 + 21*u^4 + 38*u^5 + 12*u^6 + 22*u^7 - 4*u^8 + 11*u^9 - 2*u^10 + 10*u^11 - u^12 + 7*u^13 + 3*u^15 + u^17", "-16 + 145*u + 732*u^2 + 1736*u^3 + 2643*u^4 + 3058*u^5 + 2908*u^6 + 2494*u^7 + 1924*u^8 + 1351*u^9 + 816*u^10 + 458*u^11 + 249*u^12 + 131*u^13 + 62*u^14 + 23*u^15 + 6*u^16 + u^17", "256 + 44449*u - 52192*u^2 + 124220*u^3 - 159443*u^4 + 240010*u^5 - 263412*u^6 + 245006*u^7 - 146996*u^8 + 66379*u^9 - 18768*u^10 + 4726*u^11 - 857*u^12 + 263*u^13 - 110*u^14 + 47*u^15 - 10*u^16 + u^17", "292 + 569*u - 802*u^2 + 2636*u^3 + 4469*u^4 + 9214*u^5 + 3662*u^6 + 5966*u^7 + 2874*u^8 + 3017*u^9 - 50*u^10 + 586*u^11 + 29*u^12 + 137*u^13 + 2*u^14 + 7*u^15 + u^17", "1024 - 6976*u + 6612*u^2 + 65045*u^3 - 168647*u^4 + 101812*u^5 - 252832*u^6 + 943486*u^7 - 640082*u^8 + 418478*u^9 - 147848*u^10 + 51057*u^11 - 10607*u^12 + 2554*u^13 - 340*u^14 + 77*u^15 - 5*u^16 + u^17", "776 + 912*u + 2440*u^2 + 7889*u^3 + 4121*u^4 + 5716*u^5 - 2888*u^6 - 890*u^7 - 3422*u^8 - 242*u^9 - 620*u^10 + 331*u^11 + 71*u^12 + 168*u^13 + 54*u^14 + 27*u^15 + 5*u^16 + u^17", "479\/4 + 128*u - (1717*u^2)\/4 + 344*u^3 + (1799*u^4)\/2 - (1699*u^5)\/2 - 160*u^6 + (2563*u^7)\/2 - (1273*u^8)\/4 + (75*u^9)\/2 - (267*u^10)\/4 + (653*u^11)\/2 + (285*u^12)\/4 + (145*u^13)\/2 - 22*u^14 + (7*u^15)\/4 - (3*u^16)\/2 + u^17", "1\/4 + u + (25*u^2)\/4 + 74*u^3 + 10*u^4 + (385*u^5)\/2 + 14*u^6 + (695*u^7)\/2 - (9*u^8)\/4 + (797*u^9)\/2 - (43*u^10)\/4 + (479*u^11)\/2 + (9*u^12)\/4 + 72*u^13 - u^14 + (45*u^15)\/4 - u^16\/2 + u^17", "1\/4 + 2*u + (27*u^2)\/4 + (47*u^3)\/2 + 83*u^4 + (321*u^5)\/2 + (431*u^6)\/2 + 373*u^7 + (1061*u^8)\/4 + (567*u^9)\/2 + (399*u^10)\/4 + (221*u^11)\/2 + (101*u^12)\/4 + 43*u^13 + (25*u^14)\/2 + (47*u^15)\/4 + (5*u^16)\/2 + u^17", "361\/4 + 550*u + (6769*u^2)\/4 + 3528*u^3 + (8031*u^4)\/2 + 4983*u^5 - (4159*u^6)\/2 - 1071*u^7 - (31863*u^8)\/4 + (10629*u^9)\/2 + (11451*u^10)\/4 - 1730*u^11 - (1605*u^12)\/4 + 251*u^13 + 35*u^14 - (83*u^15)\/4 - (3*u^16)\/2 + u^17", "32 - 24*u + 118*u^2 - 79*u^3 - 55*u^4 + 472*u^5 - 1070*u^6 + 1648*u^7 - 1138*u^8 + 764*u^9 - 394*u^10 + 299*u^11 - 145*u^12 + 62*u^13 - 16*u^14 + 7*u^15 - 3*u^16 + u^17", "433\/4 + (1037*u)\/2 + (5647*u^2)\/4 + (5945*u^3)\/2 + (7739*u^4)\/2 + (7817*u^5)\/2 + (4997*u^6)\/2 + (2743*u^7)\/2 - (1521*u^8)\/4 - (2769*u^9)\/2 - (3381*u^10)\/4 + 45*u^11 + (1135*u^12)\/4 + (201*u^13)\/2 - 34*u^14 - (75*u^15)\/4 + (3*u^16)\/2 + u^17", "1\/4 + u^2\/4 + u^3\/2 - (3*u^4)\/2 + (5*u^5)\/2 - 7*u^6 + (17*u^7)\/2 - (49*u^8)\/4 + (27*u^9)\/2 - (29*u^10)\/4 + 15*u^11 - (3*u^12)\/4 + 14*u^13 + u^14\/2 + (17*u^15)\/4 + u^16\/2 + u^17", "167\/4 + 180*u + (1801*u^2)\/4 + 1236*u^3 + 2690*u^4 + (9423*u^5)\/2 + (12687*u^6)\/2 + 6637*u^7 + (22369*u^8)\/4 + 3894*u^9 + (9247*u^10)\/4 + 1202*u^11 + (2125*u^12)\/4 + (429*u^13)\/2 + (131*u^14)\/2 + (83*u^15)\/4 + (7*u^16)\/2 + u^17", "41\/4 + (157*u)\/2 + (1123*u^2)\/4 + 582*u^3 + (1459*u^4)\/2 + 628*u^5 + (1139*u^6)\/2 + 593*u^7 + (1173*u^8)\/4 - 268*u^9 - (1723*u^10)\/4 - (179*u^11)\/2 + (585*u^12)\/4 + 71*u^13 - 16*u^14 - (45*u^15)\/4 + (3*u^16)\/2 + u^17", "673\/8 + (13545*u)\/16 + (62353*u^2)\/16 + (43855*u^3)\/4 + 21623*u^4 + (268573*u^5)\/8 + (368921*u^6)\/8 + (477035*u^7)\/8 + (279431*u^8)\/4 + (1097553*u^9)\/16 + (855121*u^10)\/16 + (256859*u^11)\/8 + 14611*u^12 + (79069*u^13)\/16 + (19299*u^14)\/16 + (3225*u^15)\/16 + (83*u^16)\/4 + u^17", "1\/4 + (11*u)\/2 + (293*u^2)\/4 + (1095*u^3)\/2 + 2465*u^4 + 7210*u^5 + 10251*u^6 + (15451*u^7)\/2 + (257*u^8)\/4 - 3408*u^9 - (5329*u^10)\/4 + (1059*u^11)\/2 + (1745*u^12)\/4 - (5*u^13)\/2 - (125*u^14)\/2 - (31*u^15)\/4 + (9*u^16)\/2 + u^17", "8 - 4*u - 22*u^2 + 141*u^3 + 547*u^4 + 1022*u^5 + 1120*u^6 + 832*u^7 + 1838*u^8 + 5026*u^9 + 7914*u^10 + 7835*u^11 + 5255*u^12 + 2442*u^13 + 774*u^14 + 159*u^15 + 19*u^16 + u^17", "1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17", "1\/16 - u\/8 - (11*u^2)\/16 + (9*u^3)\/2 - (79*u^4)\/8 + (7*u^5)\/2 + (103*u^6)\/4 - (307*u^7)\/8 - (1027*u^8)\/16 + (2597*u^9)\/8 - (9645*u^10)\/16 + (5509*u^11)\/8 - (9131*u^12)\/16 + (717*u^13)\/2 - (299*u^14)\/2 + (729*u^15)\/16 - (33*u^16)\/4 + u^17", "1 + 8*u + 166*u^2 - 1117*u^4 + 2024*u^5 - 1854*u^6 + 1670*u^7 - 1743*u^8 + 1058*u^9 + 140*u^10 - 666*u^11 + 396*u^12 - 36*u^13 - 71*u^14 + 41*u^15 - 10*u^16 + u^17", "59\/4 + (1677*u)\/16 + (11471*u^2)\/16 + (12595*u^3)\/4 + (31355*u^4)\/4 + 11222*u^5 + (50345*u^6)\/8 - (6327*u^7)\/2 - (41953*u^8)\/8 - (7969*u^9)\/16 + (34039*u^10)\/16 + (6345*u^11)\/8 - (3381*u^12)\/8 - (4441*u^13)\/16 - (273*u^14)\/16 + (457*u^15)\/16 + (37*u^16)\/4 + u^17" ], "Multiplicity":1, "ij_list":[ [ "{3, 7}", "{4, 6}", "{4, 7}" ], [ "{3, 4}", "{3, 5}", "{6, 7}" ], [ "{4, 5}" ], [ "{3, 6}", "{5, 7}" ], [ "{5, 6}" ], [ "{4, 10}" ], [ "{4, 8}" ], [ "{2, 4}" ], [ "{1, 4}" ], [ "{1, 5}", "{6, 9}" ], [ "{5, 10}", "{6, 10}" ], [ "{4, 9}" ], [ "{1, 6}", "{2, 6}", "{5, 8}", "{5, 9}" ], [ "{1, 3}", "{7, 9}" ], [ "{2, 7}", "{3, 8}" ], [ "{2, 8}" ], [ "{2, 5}", "{6, 8}" ], [ "{3, 10}", "{7, 10}" ], [ "{1, 7}", "{1, 8}", "{2, 9}", "{2, 10}", "{3, 9}", "{8, 10}" ], [ "{1, 2}", "{8, 9}" ], [ "{1, 10}", "{2, 3}", "{7, 8}", "{9, 10}" ], [ "{1, 9}" ] ], "SortedReprnIndices":"{11, 12, 8, 7, 14, 13, 16, 15, 3, 4, 10, 9, 5, 6, 2, 1, 17}", "aCuspShapeN":[ "-2.166340803868078705`4.931663230713985 + 2.8573561435754132638`5.05190082544977*I", "-2.166340803868078705`4.931663230713985 - 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4.1220705492563174835`4.9599628237622015*I", "-4.8858980064146773254`5.033791800096804 - 4.1220705492563174835`4.9599628237622015*I", "-6.1060005877399685871`5.11368497421228 + 2.6251608005887014528`4.74708404310982*I", "-6.1060005877399685871`5.11368497421228 + 2.6251608005887014528`4.74708404310982*I", "-6.1060005877399685871`5.11368497421228 - 2.6251608005887014528`4.74708404310982*I", "-6.1060005877399685871`5.11368497421228 - 2.6251608005887014528`4.74708404310982*I", "-3.9999999999999999911`4.834037063672449 - 7.260774402782625451`5.092960015485279*I", "-3.9999999999999999911`4.834037063672449 - 7.260774402782625451`5.092960015485279*I", "-3.9999999999999999911`4.834037063672449 + 7.260774402782625451`5.092960015485279*I", "-3.9999999999999999911`4.834037063672449 + 7.260774402782625451`5.092960015485279*I", "-3.1141019935853226747`4.930680891638447 + 4.1220705492563174831`5.0524634795473045*I", "-3.1141019935853226747`4.930680891638447 + 4.1220705492563174831`5.0524634795473045*I", "-3.1141019935853226747`4.930680891638447 - 4.1220705492563174831`5.0524634795473045*I", "-3.1141019935853226747`4.930680891638447 - 4.1220705492563174831`5.0524634795473045*I" ], "Abelian":false }, { "IdealName":"J10_97_2", "Generators":[ "1 + b", "-1 + 2*a - 2*u", "1 + u + u^2" ], "VariableOrder":[ "b", "a", "u" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.671799999999999e-2, "TimingZeroDimVars":7.1325e-2, "TimingmagmaVCompNormalize":7.2758e-2, "TimingNumberOfSols":3.2352e-2, "TimingIsRadical":2.215e-3, "TimingArcColoring":6.9502e-2, "TimingObstruction":1.488e-3, "TimingComplexVolumeN":1.713342, "TimingaCuspShapeN":9.426e-3, "TiminguValues":0.639329, "TiminguPolysN":3.7799999999999997e-4, "TiminguPolys":0.816476, "TimingaCuspShape":0.110369, "TimingRepresentationsN":3.1756e-2, "TiminguValues_ij":0.156535, "TiminguPoly_ij":1.305262, "TiminguPolys_ij_N":8.26e-4 }, "ZeroDimensionalVars":[ "b", "a", "u" ], "NumberOfSols":2, "IsRadical":true, "ArcColoring":[ [ "1 + u", "(-2 - u)\/2" ], [ "(3 + 2*u)\/2", -1 ], "{1, 0}", [ 1, "1 + u" ], [ "-u", "1 + u" ], [ "-u", "1 + u" ], [ 0, "u" ], [ "1 + u", "(-2 + u)\/2" ], [ "(1 + 2*u)\/2", -1 ], [ "2*(1 + u)", -2 ] ], "Obstruction":1, "ComplexVolumeN":[ "-1.64493 - 2.02988*I", "-1.64493 + 2.02988*I" ], "uPolysN":[ "1\/4 - u\/2 + u^2", "1 + 2*u + u^2", "1 + u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2", "1 - 2*u + u^2", "1\/4 + u\/2 + u^2", "1 - 2*u + u^2", "1 + 2*u + u^2" ], "uPolys":[ "4*(1 - 2*u + 4*u^2)", "(1 + u)^2", "1 + u + u^2", "1 + u + u^2", "u^2", "1 - u + u^2", "(-1 + u)^2", "4*(1 + 2*u + 4*u^2)", "(-1 + u)^2", "(1 + u)^2" ], "aCuspShape":"-6 + (-16 + u)\/4", "RepresentationsN":[ [ "u->-0.5 + 0.866025 I", "a->0. + 0.866025 I", "b->-1." ], [ "u->-0.5 - 0.866025 I", "a->0. - 0.866025 I", "b->-1." ] ], "Epsilon":2.44949, "uPolys_ij":[ "(2 + u)^2", "(1 + u)^2", "u^2", "(-1 + u)^2", "(-2 + u)^2", "4 + 2*u + u^2", "4*(3 + 6*u + 4*u^2)", "4*(1 + 2*u + 4*u^2)", "16*(13 + 28*u + 16*u^2)", "16*(21 + 36*u + 16*u^2)", "4*(7 + 10*u + 4*u^2)", "4*(1 - 2*u + 4*u^2)", "4*(3 - 6*u + 4*u^2)", "16*(1 + 4*u + 16*u^2)", "1 + u + u^2", "1 - u + u^2", "4*(7 - 2*u + 4*u^2)", "4*(9 - 6*u + 4*u^2)" ], "GeometricComponent":0, "uPolys_ij_N":[ "4 + 4*u + u^2", "1 + 2*u + u^2", "u^2", "1 - 2*u + u^2", "4 - 4*u + u^2", "4 + 2*u + u^2", "3\/4 + (3*u)\/2 + u^2", "1\/4 + u\/2 + u^2", "13\/16 + (7*u)\/4 + u^2", "21\/16 + (9*u)\/4 + u^2", "7\/4 + (5*u)\/2 + u^2", "1\/4 - u\/2 + u^2", "3\/4 - (3*u)\/2 + u^2", "1\/16 + u\/4 + u^2", "1 + u + u^2", "1 - u + u^2", "7\/4 - u\/2 + u^2", "9\/4 - (3*u)\/2 + u^2" ], "Multiplicity":1, "MinRepresentationVolume":[ "{1, 2}", 2.02988 ], "ij_list":[ [ "{3, 10}" ], [ "{1, 7}", "{1, 8}", "{1, 10}", "{2, 9}", "{2, 10}", "{3, 9}" ], [ "{5, 6}", "{5, 10}", "{6, 10}" ], [ "{2, 3}", "{7, 8}", "{8, 10}", "{9, 10}" ], [ "{7, 10}" ], [ "{4, 10}" ], [ "{4, 8}" ], [ "{4, 9}" ], [ "{1, 9}" ], [ "{2, 8}" ], [ "{2, 7}", "{3, 8}" ], [ "{1, 5}", "{1, 6}", "{2, 5}", "{2, 6}", "{5, 8}", "{5, 9}", "{6, 8}", "{6, 9}" ], [ "{1, 3}", "{7, 9}" ], [ "{1, 2}", "{8, 9}" ], [ "{3, 7}", "{4, 5}", "{4, 6}", "{4, 7}" ], [ "{3, 4}", "{3, 5}", "{3, 6}", "{5, 7}", "{6, 7}" ], [ "{1, 4}" ], [ "{2, 4}" ] ], "SortedReprnIndices":"{2, 1}", "aCuspShapeN":[ "-10.125`5.1504157305201135 + 0.2165063509461096617`3.480491339001295*I", "-10.125`5.1504157305201135 - 0.2165063509461096617`3.480491339001295*I" ], "Abelian":false }, { "IdealName":"abJ10_97_3", "Generators":[ "b", "-1 + a", "-1 + v" ], "VariableOrder":[ "b", "a", "v" ], "Characteristic":0, "KnownGroebner":[], "Status":[ "vCompNormalize" ], "MonomialOrder":"lex", "IsHomogeneous":false, "IsZeroDim":true, "IdealDimension":0, "Timings":{ "TimingGroebner":8.5084e-2, "TimingZeroDimVars":6.4067e-2, "TimingmagmaVCompNormalize":6.5296e-2, "TimingNumberOfSols":2.6307999999999998e-2, "TimingIsRadical":1.797e-3, "TimingArcColoring":6.343700000000001e-2, "TimingObstruction":3.73e-4, "TimingComplexVolumeN":0.353312, "TimingaCuspShapeN":4.2439999999999995e-3, "TiminguValues":0.628225, "TiminguPolysN":7.400000000000002e-5, "TiminguPolys":0.813233, "TimingaCuspShape":9.368499999999999e-2, "TimingRepresentationsN":2.7387e-2, "TiminguValues_ij":0.152489, "TiminguPoly_ij":0.146115, "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":[ "16*(1 - 2*u + 4*u^2)*(1 + u^2 + 2*u^3 - 6*u^4 + 10*u^5 - 28*u^6 + 34*u^7 - 49*u^8 + 54*u^9 - 29*u^10 + 60*u^11 - 3*u^12 + 56*u^13 + 2*u^14 + 17*u^15 + 2*u^16 + 4*u^17)*(653 - 1254*u + 4006*u^2 - 4143*u^3 + 10025*u^4 - 8177*u^5 + 14641*u^6 - 11179*u^7 + 15703*u^8 - 12147*u^9 + 13629*u^10 - 10413*u^11 + 10407*u^12 - 7233*u^13 + 6929*u^14 - 4095*u^15 + 3801*u^16 - 1978*u^17 + 1722*u^18 - 799*u^19 + 637*u^20 - 297*u^21 + 203*u^22 - 93*u^23 + 55*u^24 - 22*u^25 + 12*u^26 - 3*u^27 + u^28)", "(1 + u)^2*(1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17)*(1 - 2*u + 2*u^2 + 5*u^3 - 17*u^4 - 3*u^5 + 141*u^6 - 567*u^7 + 1503*u^8 - 3061*u^9 + 5263*u^10 - 7855*u^11 + 10359*u^12 - 12321*u^13 + 13255*u^14 - 13005*u^15 + 11697*u^16 - 9624*u^17 + 7284*u^18 - 5051*u^19 + 3203*u^20 - 1859*u^21 + 973*u^22 - 461*u^23 + 193*u^24 - 70*u^25 + 22*u^26 - 5*u^27 + u^28)", "(1 + u + u^2)*(1 - u + 2*u^2 + 4*u^4 + 6*u^6 + 2*u^7 + 7*u^8 + 3*u^9 + 6*u^10 + 2*u^11 + 3*u^12 + u^13 + u^14)^2*(4 + 17*u + 18*u^2 + 36*u^3 + 21*u^4 + 38*u^5 + 12*u^6 + 22*u^7 - 4*u^8 + 11*u^9 - 2*u^10 + 10*u^11 - u^12 + 7*u^13 + 3*u^15 + u^17)", "(1 + u + u^2)*(1 + 3*u + 12*u^2 + 28*u^3 + 58*u^4 + 94*u^5 + 126*u^6 + 144*u^7 + 137*u^8 + 111*u^9 + 74*u^10 + 40*u^11 + 17*u^12 + 5*u^13 + u^14)^2*(-16 + 145*u + 732*u^2 + 1736*u^3 + 2643*u^4 + 3058*u^5 + 2908*u^6 + 2494*u^7 + 1924*u^8 + 1351*u^9 + 816*u^10 + 458*u^11 + 249*u^12 + 131*u^13 + 62*u^14 + 23*u^15 + 6*u^16 + u^17)", "u^2*(1 - u + 2*u^2 + 4*u^4 + 6*u^6 + 2*u^7 + 7*u^8 + 3*u^9 + 6*u^10 + 2*u^11 + 3*u^12 + u^13 + u^14)^2*(32 - 24*u + 118*u^2 - 79*u^3 - 55*u^4 + 472*u^5 - 1070*u^6 + 1648*u^7 - 1138*u^8 + 764*u^9 - 394*u^10 + 299*u^11 - 145*u^12 + 62*u^13 - 16*u^14 + 7*u^15 - 3*u^16 + u^17)", "(1 - u + u^2)*(1 - u + 2*u^2 + 4*u^4 + 6*u^6 + 2*u^7 + 7*u^8 + 3*u^9 + 6*u^10 + 2*u^11 + 3*u^12 + u^13 + u^14)^2*(4 + 17*u + 18*u^2 + 36*u^3 + 21*u^4 + 38*u^5 + 12*u^6 + 22*u^7 - 4*u^8 + 11*u^9 - 2*u^10 + 10*u^11 - u^12 + 7*u^13 + 3*u^15 + u^17)", "(-1 + u)^2*(1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17)*(1 - 2*u + 2*u^2 + 5*u^3 - 17*u^4 - 3*u^5 + 141*u^6 - 567*u^7 + 1503*u^8 - 3061*u^9 + 5263*u^10 - 7855*u^11 + 10359*u^12 - 12321*u^13 + 13255*u^14 - 13005*u^15 + 11697*u^16 - 9624*u^17 + 7284*u^18 - 5051*u^19 + 3203*u^20 - 1859*u^21 + 973*u^22 - 461*u^23 + 193*u^24 - 70*u^25 + 22*u^26 - 5*u^27 + u^28)", "16*(1 + 2*u + 4*u^2)*(1 + u^2 + 2*u^3 - 6*u^4 + 10*u^5 - 28*u^6 + 34*u^7 - 49*u^8 + 54*u^9 - 29*u^10 + 60*u^11 - 3*u^12 + 56*u^13 + 2*u^14 + 17*u^15 + 2*u^16 + 4*u^17)*(653 - 1254*u + 4006*u^2 - 4143*u^3 + 10025*u^4 - 8177*u^5 + 14641*u^6 - 11179*u^7 + 15703*u^8 - 12147*u^9 + 13629*u^10 - 10413*u^11 + 10407*u^12 - 7233*u^13 + 6929*u^14 - 4095*u^15 + 3801*u^16 - 1978*u^17 + 1722*u^18 - 799*u^19 + 637*u^20 - 297*u^21 + 203*u^22 - 93*u^23 + 55*u^24 - 22*u^25 + 12*u^26 - 3*u^27 + u^28)", "(-1 + u)^2*(1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17)*(1 - 2*u + 2*u^2 + 5*u^3 - 17*u^4 - 3*u^5 + 141*u^6 - 567*u^7 + 1503*u^8 - 3061*u^9 + 5263*u^10 - 7855*u^11 + 10359*u^12 - 12321*u^13 + 13255*u^14 - 13005*u^15 + 11697*u^16 - 9624*u^17 + 7284*u^18 - 5051*u^19 + 3203*u^20 - 1859*u^21 + 973*u^22 - 461*u^23 + 193*u^24 - 70*u^25 + 22*u^26 - 5*u^27 + u^28)", "(1 + u)^2*(1 - 2*u - 2*u^2 + 20*u^3 + 41*u^4 + 80*u^5 + 122*u^6 + 146*u^7 + 153*u^8 + 148*u^9 + 116*u^10 + 86*u^11 + 58*u^12 + 30*u^13 + 17*u^14 + 7*u^15 + 2*u^16 + u^17)*(1 - 2*u + 2*u^2 + 5*u^3 - 17*u^4 - 3*u^5 + 141*u^6 - 567*u^7 + 1503*u^8 - 3061*u^9 + 5263*u^10 - 7855*u^11 + 10359*u^12 - 12321*u^13 + 13255*u^14 - 13005*u^15 + 11697*u^16 - 9624*u^17 + 7284*u^18 - 5051*u^19 + 3203*u^20 - 1859*u^21 + 973*u^22 - 461*u^23 + 193*u^24 - 70*u^25 + 22*u^26 - 5*u^27 + u^28)" ], "RileyPolyC":[ "256*(1 + 4*y + 16*y^2)*(-1 - 2*y + 11*y^2 + 72*y^3 + 158*y^4 + 56*y^5 - 412*y^6 - 614*y^7 + 1027*y^8 + 5194*y^9 + 9645*y^10 + 11018*y^11 + 9131*y^12 + 5736*y^13 + 2392*y^14 + 729*y^15 + 132*y^16 + 16*y^17)*(426409 + 3659320*y + 18750042*y^2 + 61769081*y^3 + 142520881*y^4 + 247206761*y^5 + 342403909*y^6 + 397462293*y^7 + 402728465*y^8 + 366855203*y^9 + 306273431*y^10 + 237063241*y^11 + 171340713*y^12 + 115888867*y^13 + 73019331*y^14 + 42411847*y^15 + 22457977*y^16 + 10757720*y^17 + 4654538*y^18 + 1820517*y^19 + 644029*y^20 + 204699*y^21 + 57943*y^22 + 14551*y^23 + 3297*y^24 + 684*y^25 + 122*y^26 + 15*y^27 + y^28)", "(-1 + y)^2*(-1 + 8*y - 166*y^2 + 1117*y^4 + 2024*y^5 + 1854*y^6 + 1670*y^7 + 1743*y^8 + 1058*y^9 - 140*y^10 - 666*y^11 - 396*y^12 - 36*y^13 + 71*y^14 + 41*y^15 + 10*y^16 + y^17)*(1 - 10*y^2 + 177*y^3 + 1621*y^4 + 5161*y^5 + 6337*y^6 + 2261*y^7 + 20269*y^8 + 92839*y^9 + 151759*y^10 + 56493*y^11 - 165039*y^12 - 261981*y^13 - 93677*y^14 + 150895*y^15 + 213005*y^16 + 86088*y^17 - 49490*y^18 - 82315*y^19 - 44003*y^20 - 4473*y^21 + 9599*y^22 + 7787*y^23 + 3337*y^24 + 928*y^25 + 170*y^26 + 19*y^27 + y^28)", "(1 + y + y^2)*(1 + 3*y + 12*y^2 + 28*y^3 + 58*y^4 + 94*y^5 + 126*y^6 + 144*y^7 + 137*y^8 + 111*y^9 + 74*y^10 + 40*y^11 + 17*y^12 + 5*y^13 + y^14)^2*(-16 + 145*y + 732*y^2 + 1736*y^3 + 2643*y^4 + 3058*y^5 + 2908*y^6 + 2494*y^7 + 1924*y^8 + 1351*y^9 + 816*y^10 + 458*y^11 + 249*y^12 + 131*y^13 + 62*y^14 + 23*y^15 + 6*y^16 + y^17)", "(1 + y + y^2)*(1 + 15*y + 92*y^2 + 296*y^3 + 534*y^4 + 486*y^5 + 50*y^6 - 356*y^7 - 355*y^8 - 105*y^9 + 66*y^10 + 80*y^11 + 37*y^12 + 9*y^13 + y^14)^2*(-256 + 44449*y + 52192*y^2 + 124220*y^3 + 159443*y^4 + 240010*y^5 + 263412*y^6 + 245006*y^7 + 146996*y^8 + 66379*y^9 + 18768*y^10 + 4726*y^11 + 857*y^12 + 263*y^13 + 110*y^14 + 47*y^15 + 10*y^16 + y^17)", "y^2*(1 + 3*y + 12*y^2 + 28*y^3 + 58*y^4 + 94*y^5 + 126*y^6 + 144*y^7 + 137*y^8 + 111*y^9 + 74*y^10 + 40*y^11 + 17*y^12 + 5*y^13 + y^14)^2*(-1024 - 6976*y - 6612*y^2 + 65045*y^3 + 168647*y^4 + 101812*y^5 + 252832*y^6 + 943486*y^7 + 640082*y^8 + 418478*y^9 + 147848*y^10 + 51057*y^11 + 10607*y^12 + 2554*y^13 + 340*y^14 + 77*y^15 + 5*y^16 + y^17)", "(1 + y + y^2)*(1 + 3*y + 12*y^2 + 28*y^3 + 58*y^4 + 94*y^5 + 126*y^6 + 144*y^7 + 137*y^8 + 111*y^9 + 74*y^10 + 40*y^11 + 17*y^12 + 5*y^13 + y^14)^2*(-16 + 145*y + 732*y^2 + 1736*y^3 + 2643*y^4 + 3058*y^5 + 2908*y^6 + 2494*y^7 + 1924*y^8 + 1351*y^9 + 816*y^10 + 458*y^11 + 249*y^12 + 131*y^13 + 62*y^14 + 23*y^15 + 6*y^16 + y^17)", "(-1 + y)^2*(-1 + 8*y - 166*y^2 + 1117*y^4 + 2024*y^5 + 1854*y^6 + 1670*y^7 + 1743*y^8 + 1058*y^9 - 140*y^10 - 666*y^11 - 396*y^12 - 36*y^13 + 71*y^14 + 41*y^15 + 10*y^16 + y^17)*(1 - 10*y^2 + 177*y^3 + 1621*y^4 + 5161*y^5 + 6337*y^6 + 2261*y^7 + 20269*y^8 + 92839*y^9 + 151759*y^10 + 56493*y^11 - 165039*y^12 - 261981*y^13 - 93677*y^14 + 150895*y^15 + 213005*y^16 + 86088*y^17 - 49490*y^18 - 82315*y^19 - 44003*y^20 - 4473*y^21 + 9599*y^22 + 7787*y^23 + 3337*y^24 + 928*y^25 + 170*y^26 + 19*y^27 + y^28)", "256*(1 + 4*y + 16*y^2)*(-1 - 2*y + 11*y^2 + 72*y^3 + 158*y^4 + 56*y^5 - 412*y^6 - 614*y^7 + 1027*y^8 + 5194*y^9 + 9645*y^10 + 11018*y^11 + 9131*y^12 + 5736*y^13 + 2392*y^14 + 729*y^15 + 132*y^16 + 16*y^17)*(426409 + 3659320*y + 18750042*y^2 + 61769081*y^3 + 142520881*y^4 + 247206761*y^5 + 342403909*y^6 + 397462293*y^7 + 402728465*y^8 + 366855203*y^9 + 306273431*y^10 + 237063241*y^11 + 171340713*y^12 + 115888867*y^13 + 73019331*y^14 + 42411847*y^15 + 22457977*y^16 + 10757720*y^17 + 4654538*y^18 + 1820517*y^19 + 644029*y^20 + 204699*y^21 + 57943*y^22 + 14551*y^23 + 3297*y^24 + 684*y^25 + 122*y^26 + 15*y^27 + y^28)", "(-1 + y)^2*(-1 + 8*y - 166*y^2 + 1117*y^4 + 2024*y^5 + 1854*y^6 + 1670*y^7 + 1743*y^8 + 1058*y^9 - 140*y^10 - 666*y^11 - 396*y^12 - 36*y^13 + 71*y^14 + 41*y^15 + 10*y^16 + y^17)*(1 - 10*y^2 + 177*y^3 + 1621*y^4 + 5161*y^5 + 6337*y^6 + 2261*y^7 + 20269*y^8 + 92839*y^9 + 151759*y^10 + 56493*y^11 - 165039*y^12 - 261981*y^13 - 93677*y^14 + 150895*y^15 + 213005*y^16 + 86088*y^17 - 49490*y^18 - 82315*y^19 - 44003*y^20 - 4473*y^21 + 9599*y^22 + 7787*y^23 + 3337*y^24 + 928*y^25 + 170*y^26 + 19*y^27 + y^28)", "(-1 + y)^2*(-1 + 8*y - 166*y^2 + 1117*y^4 + 2024*y^5 + 1854*y^6 + 1670*y^7 + 1743*y^8 + 1058*y^9 - 140*y^10 - 666*y^11 - 396*y^12 - 36*y^13 + 71*y^14 + 41*y^15 + 10*y^16 + y^17)*(1 - 10*y^2 + 177*y^3 + 1621*y^4 + 5161*y^5 + 6337*y^6 + 2261*y^7 + 20269*y^8 + 92839*y^9 + 151759*y^10 + 56493*y^11 - 165039*y^12 - 261981*y^13 - 93677*y^14 + 150895*y^15 + 213005*y^16 + 86088*y^17 - 49490*y^18 - 82315*y^19 - 44003*y^20 - 4473*y^21 + 9599*y^22 + 7787*y^23 + 3337*y^24 + 928*y^25 + 170*y^26 + 19*y^27 + y^28)" ] }, "GeometricRepresentation":[ 1.48527e1, [ "J10_97_0", 1, "{11, 12}" ] ] } }