Magma V2.19-8 Tue Aug 20 2013 23:55:56 on localhost [Seed = 795428628] Type ? for help. Type -D to quit. Loading file "L14n13423__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13423 geometric_solution 11.59455285 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 1 0 -2 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 1 -1 -1 0 3 -2 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154322659462 1.015962485125 0 5 4 6 0132 0132 0213 0132 1 0 0 1 0 0 0 0 -1 0 0 1 -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 -1 1 0 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.150417206901 0.781619630192 3 0 6 7 1230 0132 0132 0132 1 0 0 1 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283283406881 1.049738440378 8 2 5 0 0132 3012 2103 0132 1 0 0 0 0 0 0 0 -1 0 -1 2 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 2 0 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753677480705 0.981581562031 9 1 0 7 0132 0213 0132 0213 1 0 0 1 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 -1 1 0 0 0 2 -2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544701434176 0.567114099314 3 1 10 6 2103 0132 0132 0321 1 0 1 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 1 -1 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 0.860815832386 1.072221245798 7 5 1 2 1302 0321 0132 0132 1 0 1 0 0 0 0 0 1 0 -1 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 -1 0 1 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 0.154322659462 1.015962485125 11 6 2 4 0132 2031 0132 0213 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507893124247 0.640914778740 3 9 11 9 0132 2310 0213 2031 1 0 0 0 0 -1 0 1 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 -1 1 0 -2 0 0 2 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539311378108 0.675642785001 4 8 10 8 0132 1302 1302 3201 0 0 1 0 0 1 0 -1 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 -2 0 2 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 0.539311378108 0.675642785001 9 11 11 5 2031 0213 0132 0132 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 -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 0.278368335228 0.904051439526 7 8 10 10 0132 0213 0213 0132 1 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 -1 1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688903690738 1.010341445586 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_1001_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : d['c_1001_5'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_1010_4'], 'c_1100_6' : d['c_1010_4'], 'c_1100_1' : d['c_1010_4'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_1010_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : negation(d['c_0011_4']), 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0011_4'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0101_2, c_0101_3, c_1001_1, c_1001_10, c_1001_5, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 4197898613/80956080*c_1001_5^9 - 68340060869/121434120*c_1001_5^8 + 134013679247/80956080*c_1001_5^7 - 8921713237/40478040*c_1001_5^6 - 30132550316/15179265*c_1001_5^5 + 260009201/10119510*c_1001_5^4 + 26846054095/24286824*c_1001_5^3 + 37134246457/242868240*c_1001_5^2 - 1975408202/15179265*c_1001_5 - 4438450319/48573648, c_0011_0 - 1, c_0011_10 - 531249/1799024*c_1001_5^9 + 2872517/899512*c_1001_5^8 - 16597927/1799024*c_1001_5^7 + 381393/899512*c_1001_5^6 + 2324101/224878*c_1001_5^5 + 785407/112439*c_1001_5^4 - 2314349/899512*c_1001_5^3 - 1617527/1799024*c_1001_5^2 - 256955/449756*c_1001_5 - 200415/1799024, c_0011_11 - 1, c_0011_3 - 1139871/899512*c_1001_5^9 + 2961515/224878*c_1001_5^8 - 31275895/899512*c_1001_5^7 - 2917697/449756*c_1001_5^6 + 7506835/224878*c_1001_5^5 + 3610051/224878*c_1001_5^4 - 2506145/449756*c_1001_5^3 - 2011113/899512*c_1001_5^2 - 709889/449756*c_1001_5 - 89095/899512, c_0011_4 + c_1001_5, c_0011_6 + 4191/899512*c_1001_5^9 + 136855/449756*c_1001_5^8 - 3025667/899512*c_1001_5^7 + 3604693/449756*c_1001_5^6 + 605594/112439*c_1001_5^5 - 760361/112439*c_1001_5^4 - 2735077/449756*c_1001_5^3 + 1718777/899512*c_1001_5^2 + 34091/112439*c_1001_5 - 597683/899512, c_0101_2 + 905487/899512*c_1001_5^9 - 1094654/112439*c_1001_5^8 + 18137859/899512*c_1001_5^7 + 11020447/449756*c_1001_5^6 - 2636690/112439*c_1001_5^5 - 3020226/112439*c_1001_5^4 + 1532299/449756*c_1001_5^3 + 7582957/899512*c_1001_5^2 + 646769/449756*c_1001_5 + 632759/899512, c_0101_3 - 531249/1799024*c_1001_5^9 + 2872517/899512*c_1001_5^8 - 16597927/1799024*c_1001_5^7 + 381393/899512*c_1001_5^6 + 2324101/224878*c_1001_5^5 + 785407/112439*c_1001_5^4 - 2314349/899512*c_1001_5^3 - 1617527/1799024*c_1001_5^2 - 256955/449756*c_1001_5 - 200415/1799024, c_1001_1 + c_1001_5^2 - 1, c_1001_10 + 431907/899512*c_1001_5^9 - 2103929/449756*c_1001_5^8 + 8939049/899512*c_1001_5^7 + 5072905/449756*c_1001_5^6 - 1569567/112439*c_1001_5^5 - 903251/112439*c_1001_5^4 + 2010559/449756*c_1001_5^3 + 526237/899512*c_1001_5^2 - 128395/112439*c_1001_5 + 96865/899512, c_1001_5^10 - 29/3*c_1001_5^9 + 61/3*c_1001_5^8 + 21*c_1001_5^7 - 46/3*c_1001_5^6 - 64/3*c_1001_5^5 - 10/3*c_1001_5^4 + 7/3*c_1001_5^3 + 7/3*c_1001_5^2 + c_1001_5 + 1/3, c_1010_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB