Magma V2.19-8 Wed Aug 21 2013 00:56:45 on localhost [Seed = 3280328962] Type ? for help. Type -D to quit. Loading file "L13n2865__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2865 geometric_solution 12.28115315 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 0213 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 1 -2 1 -1 0 1 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 0.791666916412 0.811421135723 0 4 0 5 0132 0132 0213 0132 0 1 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 -1 1 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 0.387765035923 0.410438986171 5 6 7 0 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 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 -1 -1 2 0 0 1 -1 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545423397097 0.534811773932 8 9 0 10 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449946140486 0.628041635576 8 1 11 6 3012 0132 0132 0132 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427000716017 0.947281163243 2 12 1 7 0132 0132 0132 0321 0 1 1 1 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 -1 1 0 0 0 0 -11 10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.222453166506 1.414421164630 8 2 4 12 1302 0132 0132 0132 0 1 1 1 0 -1 0 1 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 1 0 -1 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600792250211 0.461720206552 10 5 9 2 0321 0321 0132 0132 0 1 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 -1 0 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.865083819808 0.906473404348 3 6 9 4 0132 2031 3201 1230 1 1 1 1 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 11 -11 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 0.288049769248 0.814859814688 8 3 11 7 2310 0132 0321 0132 0 1 1 1 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 0 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496797936178 0.859406684568 7 12 3 11 0321 0321 0132 0321 0 1 1 1 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 1 -1 0 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.045725271678 1.092264910065 12 10 9 4 0321 0321 0321 0132 0 1 1 1 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 0 -10 0 10 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 0.702895050661 0.779251089741 11 5 6 10 0321 0132 0132 0321 0 1 1 1 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733120176211 1.184617665387 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_1001_4'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : d['c_1001_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1001_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_12'], 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_1001_0, c_1001_10, c_1001_11, c_1001_12, c_1001_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 13774839925/13859079*c_1001_4^13 + 83236688549/13859079*c_1001_4^12 - 667740375073/27718158*c_1001_4^11 + 3735410145419/55436316*c_1001_4^10 - 1242651989045/8528664*c_1001_4^9 + 27486268302473/110872632*c_1001_4^8 - 18922161139207/55436316*c_1001_4^7 + 21117565145399/55436316*c_1001_4^6 - 38370553116065/110872632*c_1001_4^5 + 27959685744109/110872632*c_1001_4^4 - 16024904488121/110872632*c_1001_4^3 + 3421003128263/55436316*c_1001_4^2 - 496106346653/27718158*c_1001_4 + 295565089181/110872632, c_0011_0 - 1, c_0011_10 + 3492234/355361*c_1001_4^13 - 22210414/355361*c_1001_4^12 + 83743025/355361*c_1001_4^11 - 449932127/710722*c_1001_4^10 + 1790987573/1421444*c_1001_4^9 - 2762488815/1421444*c_1001_4^8 + 1661790781/710722*c_1001_4^7 - 1569128769/710722*c_1001_4^6 + 2289761961/1421444*c_1001_4^5 - 1257622959/1421444*c_1001_4^4 + 489569133/1421444*c_1001_4^3 - 28285214/355361*c_1001_4^2 + 7046591/710722*c_1001_4 - 2113179/1421444, c_0011_12 - 6076580/355361*c_1001_4^13 + 30241556/355361*c_1001_4^12 - 108983874/355361*c_1001_4^11 + 266417935/355361*c_1001_4^10 - 1001788069/710722*c_1001_4^9 + 1452708461/710722*c_1001_4^8 - 835438636/355361*c_1001_4^7 + 757893653/355361*c_1001_4^6 - 1080486489/710722*c_1001_4^5 + 592905603/710722*c_1001_4^4 - 237632877/710722*c_1001_4^3 + 33344292/355361*c_1001_4^2 - 5992085/355361*c_1001_4 + 1282639/710722, c_0011_3 - 4121630/355361*c_1001_4^13 + 26826074/355361*c_1001_4^12 - 103847987/355361*c_1001_4^11 + 569938141/710722*c_1001_4^10 - 2338085455/1421444*c_1001_4^9 + 3720724213/1421444*c_1001_4^8 - 2330181819/710722*c_1001_4^7 + 2303551505/710722*c_1001_4^6 - 3567809847/1421444*c_1001_4^5 + 2109774277/1421444*c_1001_4^4 - 912945999/1421444*c_1001_4^3 + 63487152/355361*c_1001_4^2 - 19113781/710722*c_1001_4 + 5099105/1421444, c_0101_0 + 2941260/355361*c_1001_4^13 - 18276060/355361*c_1001_4^12 + 70874230/355361*c_1001_4^11 - 192784405/355361*c_1001_4^10 + 792039111/710722*c_1001_4^9 - 1261988991/710722*c_1001_4^8 + 794521172/355361*c_1001_4^7 - 790789391/355361*c_1001_4^6 + 1236232751/710722*c_1001_4^5 - 740491563/710722*c_1001_4^4 + 324188445/710722*c_1001_4^3 - 46522751/355361*c_1001_4^2 + 6293471/355361*c_1001_4 - 1185853/710722, c_0101_10 + 7015876/355361*c_1001_4^13 - 40234364/355361*c_1001_4^12 + 148634674/355361*c_1001_4^11 - 385756203/355361*c_1001_4^10 + 1503844353/710722*c_1001_4^9 - 2276681003/710722*c_1001_4^8 + 1354477486/355361*c_1001_4^7 - 1273401635/355361*c_1001_4^6 + 1868443569/710722*c_1001_4^5 - 1050768113/710722*c_1001_4^4 + 429352981/710722*c_1001_4^3 - 57678347/355361*c_1001_4^2 + 9676036/355361*c_1001_4 - 2233233/710722, c_0101_11 - 406866/355361*c_1001_4^13 + 596062/355361*c_1001_4^12 - 1796445/355361*c_1001_4^11 - 207949/710722*c_1001_4^10 + 9740191/1421444*c_1001_4^9 - 28621977/1421444*c_1001_4^8 + 10767117/710722*c_1001_4^7 + 361127/710722*c_1001_4^6 - 34228649/1421444*c_1001_4^5 + 46120995/1421444*c_1001_4^4 - 32533461/1421444*c_1001_4^3 + 3917520/355361*c_1001_4^2 - 655037/710722*c_1001_4 - 156901/1421444, c_1001_0 - 1, c_1001_10 - 3980286/355361*c_1001_4^13 + 23251874/355361*c_1001_4^12 - 88829531/355361*c_1001_4^11 + 471481205/710722*c_1001_4^10 - 1905764695/1421444*c_1001_4^9 + 2982866969/1421444*c_1001_4^8 - 1852668657/710722*c_1001_4^7 + 1820518385/710722*c_1001_4^6 - 2825055691/1421444*c_1001_4^5 + 1686584297/1421444*c_1001_4^4 - 746824971/1421444*c_1001_4^3 + 55730034/355361*c_1001_4^2 - 18708285/710722*c_1001_4 + 4626093/1421444, c_1001_11 - 4016540/355361*c_1001_4^13 + 22545860/355361*c_1001_4^12 - 85319310/355361*c_1001_4^11 + 222973397/355361*c_1001_4^10 - 891904983/710722*c_1001_4^9 + 1381597589/710722*c_1001_4^8 - 850597794/355361*c_1001_4^7 + 829084264/355361*c_1001_4^6 - 1275788419/710722*c_1001_4^5 + 756303281/710722*c_1001_4^4 - 330830265/710722*c_1001_4^3 + 48986911/355361*c_1001_4^2 - 7982872/355361*c_1001_4 + 1899529/710722, c_1001_12 - 766786/355361*c_1001_4^13 + 4892470/355361*c_1001_4^12 - 19557885/355361*c_1001_4^11 + 109272515/710722*c_1001_4^10 - 464500017/1421444*c_1001_4^9 + 767680899/1421444*c_1001_4^8 - 505156749/710722*c_1001_4^7 + 528470143/710722*c_1001_4^6 - 879844701/1421444*c_1001_4^5 + 568132959/1421444*c_1001_4^4 - 276608957/1421444*c_1001_4^3 + 23392370/355361*c_1001_4^2 - 9624931/710722*c_1001_4 + 2534515/1421444, c_1001_3 - 2941260/355361*c_1001_4^13 + 18276060/355361*c_1001_4^12 - 70874230/355361*c_1001_4^11 + 192784405/355361*c_1001_4^10 - 792039111/710722*c_1001_4^9 + 1261988991/710722*c_1001_4^8 - 794521172/355361*c_1001_4^7 + 790789391/355361*c_1001_4^6 - 1236232751/710722*c_1001_4^5 + 740491563/710722*c_1001_4^4 - 324188445/710722*c_1001_4^3 + 46522751/355361*c_1001_4^2 - 6648832/355361*c_1001_4 + 1185853/710722, c_1001_4^14 - 6*c_1001_4^13 + 47/2*c_1001_4^12 - 257/4*c_1001_4^11 + 1075/8*c_1001_4^10 - 879/4*c_1001_4^9 + 2299/8*c_1001_4^8 - 603/2*c_1001_4^7 + 2027/8*c_1001_4^6 - 673/4*c_1001_4^5 + 343/4*c_1001_4^4 - 255/8*c_1001_4^3 + 31/4*c_1001_4^2 - 9/8*c_1001_4 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.680 seconds, Total memory usage: 32.09MB