Magma V2.19-8 Tue Aug 20 2013 23:57:41 on localhost [Seed = 1107569290] Type ? for help. Type -D to quit. Loading file "L14n33110__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33110 geometric_solution 11.35652596 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 -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 1 -1 -4 0 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 0.385705872851 1.108304279794 0 5 7 6 0132 0132 0132 0132 1 0 0 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 4 0 0 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886032611325 0.769120858448 8 0 5 3 0132 0132 0132 0132 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 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 -0.056299736070 0.735639473068 9 8 2 0 0132 2310 0132 0132 1 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 1 0 -1 5 0 -1 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101633423118 0.832691248733 10 7 0 5 0132 0132 0132 0132 1 0 0 1 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 -5 5 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886032611325 0.769120858448 8 1 4 2 1023 0132 0132 0132 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 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 0.385705872851 1.108304279794 11 7 1 10 0132 0213 0132 2031 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 1 0 -1 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 0.401551259341 0.718912480614 10 4 6 1 3120 0132 0213 0132 1 0 1 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 4 -3 0 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854837883421 0.454550293551 2 5 11 3 0132 1023 0321 3201 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 0 0 0 0 0 0 0 0 0 1 0 0 -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 0.101633423118 0.832691248733 3 11 11 10 0132 3120 0132 1302 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 0 0 0 -5 0 0 5 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855573631473 1.183297477039 4 6 9 7 0132 1302 2031 3120 0 0 1 0 0 -1 0 1 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 0 4 1 -5 0 0 0 0 3 1 0 -4 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401551259341 0.718912480614 6 9 8 9 0132 3120 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.101633423118 0.832691248733 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_5'], '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' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(d['1']), 's_0_11' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], '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_0011_11']), 'c_1010_8' : d['c_0101_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : 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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), '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_0101_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_1, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 212413243/7133425*c_1001_5^10 + 20022297/548725*c_1001_5^9 - 756054029/14266850*c_1001_5^8 + 1997956157/14266850*c_1001_5^7 - 678369949/7133425*c_1001_5^6 + 1083518693/7133425*c_1001_5^5 - 24000017/219490*c_1001_5^4 + 949005338/7133425*c_1001_5^3 + 21931647/2853370*c_1001_5^2 + 50998401/570674*c_1001_5 + 415420677/14266850, c_0011_0 - 1, c_0011_10 - 58723/6071*c_1001_5^10 + 80/467*c_1001_5^9 - 124827/6071*c_1001_5^8 + 3502/6071*c_1001_5^7 - 124460/6071*c_1001_5^6 - 59139/6071*c_1001_5^5 - 6635/467*c_1001_5^4 - 122940/6071*c_1001_5^3 - 55619/6071*c_1001_5^2 - 71959/6071*c_1001_5 - 29351/6071, c_0011_11 - 20573/6071*c_1001_5^10 + 97/467*c_1001_5^9 - 30534/6071*c_1001_5^8 - 14679/6071*c_1001_5^7 - 16295/6071*c_1001_5^6 - 49004/6071*c_1001_5^5 - 427/467*c_1001_5^4 - 59751/6071*c_1001_5^3 - 10645/6071*c_1001_5^2 - 23102/6071*c_1001_5 - 7679/6071, c_0011_3 + 11529/6071*c_1001_5^10 - 4776/467*c_1001_5^9 + 62971/6071*c_1001_5^8 - 163210/6071*c_1001_5^7 + 129651/6071*c_1001_5^6 - 201619/6071*c_1001_5^5 + 6865/467*c_1001_5^4 - 138553/6071*c_1001_5^3 - 15280/6071*c_1001_5^2 - 40096/6071*c_1001_5 - 38737/6071, c_0101_0 - 1, c_0101_1 + c_1001_5, c_0101_10 + 1, c_0101_11 - 51821/6071*c_1001_5^10 + 984/467*c_1001_5^9 - 127694/6071*c_1001_5^8 + 40366/6071*c_1001_5^7 - 143868/6071*c_1001_5^6 - 9584/6071*c_1001_5^5 - 8058/467*c_1001_5^4 - 84076/6071*c_1001_5^3 - 43343/6071*c_1001_5^2 - 60794/6071*c_1001_5 - 15017/6071, c_0101_2 - 32592/6071*c_1001_5^10 + 4159/467*c_1001_5^9 - 108128/6071*c_1001_5^8 + 143451/6071*c_1001_5^7 - 171118/6071*c_1001_5^6 + 157052/6071*c_1001_5^5 - 9777/467*c_1001_5^4 + 72287/6071*c_1001_5^3 - 16740/6071*c_1001_5^2 + 2988/6071*c_1001_5 + 20743/6071, c_1001_1 - 58723/6071*c_1001_5^10 + 80/467*c_1001_5^9 - 124827/6071*c_1001_5^8 + 3502/6071*c_1001_5^7 - 124460/6071*c_1001_5^6 - 59139/6071*c_1001_5^5 - 6635/467*c_1001_5^4 - 122940/6071*c_1001_5^3 - 49548/6071*c_1001_5^2 - 71959/6071*c_1001_5 - 29351/6071, c_1001_5^11 + 1/7*c_1001_5^10 + 23/7*c_1001_5^9 - 4/7*c_1001_5^8 + 36/7*c_1001_5^7 - c_1001_5^6 + 40/7*c_1001_5^5 + 3/7*c_1001_5^4 + 30/7*c_1001_5^3 + 10/7*c_1001_5^2 + 11/7*c_1001_5 + 5/7, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB