Magma V2.19-8 Tue Aug 20 2013 23:50:48 on localhost [Seed = 3220821134] Type ? for help. Type -D to quit. Loading file "L12n861__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n861 geometric_solution 10.90031000 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 1 -1 0 0 0 1 -1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 1 0 0 2 -2 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932513710472 0.410449018183 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 2 -2 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 0.574827940671 0.549892786447 6 0 8 4 1230 0132 0132 3120 1 1 0 1 0 -1 0 1 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 -2 0 2 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 0.924616004190 0.815313944721 6 9 10 0 0132 0132 0132 0132 1 1 0 1 0 -1 0 1 0 0 1 -1 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 -3 0 3 0 0 2 -2 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665558942092 0.722546735517 2 9 0 10 3120 1230 0132 1230 1 1 0 1 0 0 0 0 0 0 1 -1 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 0 -1 1 0 0 2 -2 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843505191104 0.998953516936 8 1 11 9 1023 0132 0132 2103 1 1 1 0 0 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 3 -3 0 0 0 0 -3 0 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676495956892 0.945296603682 3 2 1 11 0132 3012 0132 0132 1 1 1 0 0 -1 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 -2 2 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 2.045132693402 1.344014912830 8 10 9 1 2103 2103 2103 0132 1 1 1 0 0 1 0 -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 2 0 -2 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 0.240548902586 0.674468298749 11 5 7 2 1302 1023 2103 0132 1 1 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736135153476 0.653761415719 7 3 4 5 2103 0132 3012 2103 1 1 1 0 0 1 0 -1 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 3 0 -3 0 0 0 0 0 -3 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391560529972 0.536513733469 4 7 11 3 3012 2103 1302 0132 1 1 1 0 0 0 0 0 0 0 1 -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 -1 0 3 -2 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499348940605 0.699581041474 10 8 6 5 2031 2031 0132 0132 1 1 0 1 0 1 0 -1 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 3 0 -3 0 0 0 0 1 0 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143858855679 0.484371599218 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : d['c_0011_7'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : negation(d['c_1001_1']), '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_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : negation(d['c_0101_1']), 's_3_1' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : 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' : 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_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0101_11'], '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_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : 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' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], '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' : d['c_0011_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0110_5, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2371/2547*c_1001_1^5 - 3269/2547*c_1001_1^4 - 18931/2547*c_1001_1^3 + 6671/849*c_1001_1^2 + 783/283*c_1001_1 + 2746/2547, c_0011_0 - 1, c_0011_10 - 147/283*c_1001_1^5 - 172/283*c_1001_1^4 - 1186/283*c_1001_1^3 + 1276/283*c_1001_1^2 - 459/283*c_1001_1 - 528/283, c_0011_11 + c_1001_1^5 + c_1001_1^4 + 8*c_1001_1^3 - 10*c_1001_1^2 + 6*c_1001_1 + 2, c_0011_4 - 96/283*c_1001_1^5 - 95/283*c_1001_1^4 - 711/283*c_1001_1^3 + 1047/283*c_1001_1^2 - 242/283*c_1001_1 - 443/283, c_0011_7 + 464/849*c_1001_1^5 + 412/849*c_1001_1^4 + 3578/849*c_1001_1^3 - 1734/283*c_1001_1^2 + 893/283*c_1001_1 + 1528/849, c_0101_0 + 56/849*c_1001_1^5 + 79/849*c_1001_1^4 + 344/849*c_1001_1^3 - 180/283*c_1001_1^2 - 346/283*c_1001_1 + 1414/849, c_0101_1 - 1, c_0101_11 - 464/849*c_1001_1^5 - 412/849*c_1001_1^4 - 3578/849*c_1001_1^3 + 1734/283*c_1001_1^2 - 893/283*c_1001_1 - 679/849, c_0101_2 + 23/849*c_1001_1^5 - 104/849*c_1001_1^4 + 20/849*c_1001_1^3 - 458/283*c_1001_1^2 + 434/283*c_1001_1 - 905/849, c_0110_5 + 25/283*c_1001_1^5 + 10/283*c_1001_1^4 + 194/283*c_1001_1^3 - 423/283*c_1001_1^2 + 234/283*c_1001_1 - 147/283, c_0110_9 - 23/849*c_1001_1^5 + 104/849*c_1001_1^4 - 20/849*c_1001_1^3 + 458/283*c_1001_1^2 - 434/283*c_1001_1 + 905/849, c_1001_1^6 + c_1001_1^5 + 8*c_1001_1^4 - 10*c_1001_1^3 + 6*c_1001_1^2 + 2*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB