Magma V2.19-8 Tue Aug 20 2013 23:42:55 on localhost [Seed = 1696792621] Type ? for help. Type -D to quit. Loading file "L13n6572__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6572 geometric_solution 9.58783416 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 2 -1 1 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 0.878871124006 1.068597629024 0 5 2 6 0132 0132 1230 0132 0 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 0 0 0 0 0 1 -1 0 -1 0 0 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 0.551135989227 0.987953756416 7 0 8 1 0132 0132 0132 3012 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 1 0 -1 -1 0 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 0.149446398162 0.498512655729 7 9 10 0 2103 0132 0132 0132 1 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 0 2 -2 1 0 -2 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 0.187028699984 0.765913134686 6 5 0 7 0132 1302 0132 2103 1 0 0 1 0 0 -1 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 0 1 -1 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746617260507 0.842031394311 8 1 9 4 1023 0132 2031 2031 0 1 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 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 0.746617260507 0.842031394311 4 8 1 9 0132 3201 0132 1302 0 0 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 0 0 0 0 0 0 -1 1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551135989227 0.987953756416 2 10 3 4 0132 2103 2103 2103 0 0 1 0 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 1 0 -1 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.859293565205 0.685269262079 10 5 6 2 2103 1023 2310 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 0 0 2 0 -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 0.878871124006 1.068597629024 10 3 6 5 0132 0132 2031 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.223437735422 0.101039985289 9 7 8 3 0132 2103 2103 0132 1 0 0 0 0 -1 0 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 2 0 -2 0 0 -2 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 1.139530007230 1.156040446289 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_5'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : 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_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_0101_5'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_4']), 'c_1100_10' : negation(d['c_0101_2']), 'c_1010_7' : negation(d['c_1001_3']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0110_5'], 'c_1100_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_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_3'], 'c_0101_8' : d['c_0101_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2974085/94127*c_1001_3^5 + 11479929/94127*c_1001_3^4 - 15775330/94127*c_1001_3^3 - 1032391/94127*c_1001_3^2 + 15717254/94127*c_1001_3 - 4468685/94127, c_0011_0 - 1, c_0011_10 - 3175/597*c_1001_3^5 + 12910/597*c_1001_3^4 - 20516/597*c_1001_3^3 + 2366/199*c_1001_3^2 + 2683/199*c_1001_3 - 1550/597, c_0011_4 - 1520/199*c_1001_3^5 + 6168/199*c_1001_3^4 - 9903/199*c_1001_3^3 + 3651/199*c_1001_3^2 + 3697/199*c_1001_3 - 1057/199, c_0101_0 - 1, c_0101_1 - 835/199*c_1001_3^5 + 3624/199*c_1001_3^4 - 6153/199*c_1001_3^3 + 2873/199*c_1001_3^2 + 2135/199*c_1001_3 - 779/199, c_0101_10 + 10390/597*c_1001_3^5 - 43366/597*c_1001_3^4 + 71087/597*c_1001_3^3 - 9920/199*c_1001_3^2 - 8109/199*c_1001_3 + 7559/597, c_0101_2 + 540/199*c_1001_3^5 - 2296/199*c_1001_3^4 + 3835/199*c_1001_3^3 - 1572/199*c_1001_3^2 - 1426/199*c_1001_3 + 530/199, c_0101_3 + 1790/597*c_1001_3^5 - 7316/597*c_1001_3^4 + 11323/597*c_1001_3^3 - 1081/199*c_1001_3^2 - 1868/199*c_1001_3 + 1123/597, c_0101_5 + 950/199*c_1001_3^5 - 3855/199*c_1001_3^4 + 6065/199*c_1001_3^3 - 1859/199*c_1001_3^2 - 2833/199*c_1001_3 + 586/199, c_0110_5 + 685/199*c_1001_3^5 - 2544/199*c_1001_3^4 + 3750/199*c_1001_3^3 - 977/199*c_1001_3^2 - 1363/199*c_1001_3 + 278/199, c_1001_3^6 - 22/5*c_1001_3^5 + 39/5*c_1001_3^4 - 22/5*c_1001_3^3 - 9/5*c_1001_3^2 + 7/5*c_1001_3 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB