Magma V2.19-8 Tue Aug 20 2013 23:52:53 on localhost [Seed = 593840362] Type ? for help. Type -D to quit. Loading file "L13n4377__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4377 geometric_solution 10.37954658 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 0 1 1 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 -1 0 1 0 0 1 -1 0 -1 0 1 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101987486297 0.979497965171 0 0 5 4 0132 1302 0132 0132 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 1 -1 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894838498899 1.009981519129 6 0 8 7 0132 0132 0132 0132 1 0 1 1 0 0 0 0 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 1 0 -1 4 0 -3 -1 0 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.163149015424 1.109645514685 6 9 5 0 2031 0132 3120 0132 1 0 1 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 -4 0 4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331438225722 0.626895415388 10 5 1 7 0132 1023 0132 2103 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184855514623 0.380033904506 4 11 3 1 1023 0132 3120 0132 0 0 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 3 -4 1 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 -0.140451085320 0.917292531974 2 10 3 7 0132 1302 1302 1230 0 0 1 1 0 0 0 0 -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 0 -1 1 -4 0 4 0 1 4 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776804367451 0.609902226702 6 11 2 4 3012 3201 0132 2103 1 0 0 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 1 -1 -1 0 1 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120196249575 0.592963974413 11 10 9 2 3012 2103 1230 0132 1 0 1 1 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 0 0 0 -3 0 0 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 -0.080961971065 0.697820218670 10 3 11 8 2310 0132 3201 3012 1 1 0 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.751649242473 0.886684140060 4 8 9 6 0132 2103 3201 2031 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 0 0 0 0 0 0 0 0 0 0 0 4 -4 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 0.235538059473 0.395967150441 9 5 7 8 2310 0132 2310 1230 0 1 1 1 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 -3 0 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 0 0 0 0.755733082337 1.340869883244 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0011_0'], 's_0_10' : negation(d['1']), 's_3_10' : negation(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' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_8'], 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0011_7']})} 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_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 2685802/30377*c_0101_8^6 + 21163/821*c_0101_8^5 + 1840298/30377*c_0101_8^4 - 3972226/30377*c_0101_8^3 + 6551864/30377*c_0101_8^2 - 2707820/30377*c_0101_8 + 273074/30377, c_0011_0 - 1, c_0011_10 + 71344/30377*c_0101_8^6 + 854/821*c_0101_8^5 - 4776/30377*c_0101_8^4 - 177093/30377*c_0101_8^3 + 86248/30377*c_0101_8^2 + 35238/30377*c_0101_8 - 2890/30377, c_0011_3 + 1505/821*c_0101_8^6 + 591/821*c_0101_8^5 + 119/821*c_0101_8^4 - 3239/821*c_0101_8^3 + 1802/821*c_0101_8^2 - 681/821*c_0101_8 - 596/821, c_0011_7 + 1505/821*c_0101_8^6 + 591/821*c_0101_8^5 + 119/821*c_0101_8^4 - 3239/821*c_0101_8^3 + 1802/821*c_0101_8^2 - 681/821*c_0101_8 - 596/821, c_0011_8 + 24675/30377*c_0101_8^6 - 829/821*c_0101_8^5 - 10784/30377*c_0101_8^4 - 59768/30377*c_0101_8^3 + 134957/30377*c_0101_8^2 - 40263/30377*c_0101_8 + 4109/30377, c_0101_0 - 1, c_0101_1 + 29120/30377*c_0101_8^6 + 114/821*c_0101_8^5 + 4250/30377*c_0101_8^4 - 80962/30377*c_0101_8^3 + 58141/30377*c_0101_8^2 - 37692/30377*c_0101_8 + 13079/30377, c_0101_10 - 6713/30377*c_0101_8^6 + 938/821*c_0101_8^5 + 8294/30377*c_0101_8^4 + 32582/30377*c_0101_8^3 - 87396/30377*c_0101_8^2 + 49552/30377*c_0101_8 - 22636/30377, c_0101_11 - 84805/30377*c_0101_8^6 - 705/821*c_0101_8^5 - 8653/30377*c_0101_8^4 + 200805/30377*c_0101_8^3 - 124815/30377*c_0101_8^2 + 62889/30377*c_0101_8 + 8973/30377, c_0101_3 - 161/821*c_0101_8^6 + 311/821*c_0101_8^5 + 14/821*c_0101_8^4 + 778/821*c_0101_8^3 - 1430/821*c_0101_8^2 + 596/821*c_0101_8 - 215/821, c_0101_5 + 35868/30377*c_0101_8^6 + 903/821*c_0101_8^5 + 25973/30377*c_0101_8^4 - 72092/30377*c_0101_8^3 + 9312/30377*c_0101_8^2 + 4864/30377*c_0101_8 + 14737/30377, c_0101_8^7 + 2/7*c_0101_8^6 + 2/7*c_0101_8^5 - 15/7*c_0101_8^4 + 12/7*c_0101_8^3 - 6/7*c_0101_8^2 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB