Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 391547863] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2145 geometric_solution 5.62710408 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453794844363 0.186546317175 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817130382795 1.371740793517 1 4 5 3 0132 0132 0132 1230 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489975507011 0.597515282867 2 5 6 1 3012 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489975507011 0.597515282867 5 2 6 6 0132 0132 2103 3201 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489975507011 0.597515282867 4 6 3 2 0132 3201 2310 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.148610964035 0.641628069506 4 4 5 3 2103 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489975507011 0.597515282867 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_6, c_0101_5, c_0110_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 122969742337/20867026776*c_1001_2^13 + 202584043603/6955675592*c_1001_2^12 + 181438925351/6955675592*c_1001_2^11 - 4942727647403/20867026776*c_1001_2^10 - 2533963389699/6955675592*c_1001_2^9 + 1319802241303/1738918898*c_1001_2^8 + 1091373478949/869459449*c_1001_2^7 - 692050129901/869459449*c_1001_2^6 - 28191078511189/20867026776*c_1001_2^5 + 5779419899053/20867026776*c_1001_2^4 + 1374982560461/3477837796*c_1001_2^3 - 108460226787/1738918898*c_1001_2^2 - 1392768197401/20867026776*c_1001_2 - 323620067525/20867026776, c_0011_0 - 1, c_0011_1 + 190609258/869459449*c_1001_2^13 + 876538030/869459449*c_1001_2^12 + 696698334/869459449*c_1001_2^11 - 7249363427/869459449*c_1001_2^10 - 8966225809/869459449*c_1001_2^9 + 21658843355/869459449*c_1001_2^8 + 28138442618/869459449*c_1001_2^7 - 16155729183/869459449*c_1001_2^6 - 22419137681/869459449*c_1001_2^5 - 2154778959/869459449*c_1001_2^4 + 1894599313/869459449*c_1001_2^3 + 761332885/869459449*c_1001_2^2 - 2426745002/869459449*c_1001_2 - 59656248/869459449, c_0011_3 - 372242603/869459449*c_1001_2^13 - 1543415162/869459449*c_1001_2^12 - 267464084/869459449*c_1001_2^11 + 16117768637/869459449*c_1001_2^10 + 11760516201/869459449*c_1001_2^9 - 62608371295/869459449*c_1001_2^8 - 46161913791/869459449*c_1001_2^7 + 96567850682/869459449*c_1001_2^6 + 61893016040/869459449*c_1001_2^5 - 54971183190/869459449*c_1001_2^4 - 29372384167/869459449*c_1001_2^3 + 5424069446/869459449*c_1001_2^2 + 3869846438/869459449*c_1001_2 + 45457909/869459449, c_0011_6 - 54444750/869459449*c_1001_2^13 - 267464084/869459449*c_1001_2^12 - 260905895/869459449*c_1001_2^11 + 2082208523/869459449*c_1001_2^10 + 3278569436/869459449*c_1001_2^9 - 5959712667/869459449*c_1001_2^8 - 10638018982/869459449*c_1001_2^7 + 3450927369/869459449*c_1001_2^6 + 9799029732/869459449*c_1001_2^5 + 2268237088/869459449*c_1001_2^4 - 1276297408/869459449*c_1001_2^3 - 99847952/869459449*c_1001_2^2 + 45457909/869459449*c_1001_2 - 497216846/869459449, c_0101_5 - c_1001_2, c_0110_0 - 984188309/869459449*c_1001_2^13 - 5496723438/869459449*c_1001_2^12 - 7667616577/869459449*c_1001_2^11 + 35866840490/869459449*c_1001_2^10 + 85472042598/869459449*c_1001_2^9 - 80352039561/869459449*c_1001_2^8 - 280148634023/869459449*c_1001_2^7 - 23340041665/869459449*c_1001_2^6 + 272376431123/869459449*c_1001_2^5 + 112908665890/869459449*c_1001_2^4 - 50588986288/869459449*c_1001_2^3 - 20492661330/869459449*c_1001_2^2 + 2767804259/869459449*c_1001_2 + 1768319992/869459449, c_1001_2^14 + 4*c_1001_2^13 - 44*c_1001_2^11 - 26*c_1001_2^10 + 177*c_1001_2^9 + 108*c_1001_2^8 - 288*c_1001_2^7 - 157*c_1001_2^6 + 174*c_1001_2^5 + 85*c_1001_2^4 - 18*c_1001_2^3 - 13*c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB