Magma V2.19-8 Wed Aug 21 2013 01:06:56 on localhost [Seed = 4273530387] Type ? for help. Type -D to quit. Loading file "L14n32862__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32862 geometric_solution 11.81144993 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 1023 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 1 -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 0 0 0 0 1.060270626300 0.640406398816 0 4 4 0 0132 0132 1023 1023 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 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 1.308952183835 0.417394797500 5 0 3 6 0132 0132 1302 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 1 0 3 0 0 -3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264006530273 0.630377062127 2 7 8 0 2031 0132 0132 0132 1 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 -1 0 1 0 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736404383604 0.792481005172 6 1 1 9 3012 0132 1023 0132 1 1 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 0 0 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.060270626300 0.640406398816 2 10 11 11 0132 0132 0132 0321 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 1 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 0.298871942997 0.962468947896 10 9 2 4 0321 0132 0132 1230 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 0 0.783754173135 0.671284017335 12 3 9 8 0132 0132 0132 0132 1 1 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 1 0 0 -1 0 4 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032479872429 0.635846006873 9 11 7 3 0132 0213 0132 0132 1 1 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 -1 0 1 0 0 1 -1 4 0 0 -4 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032479872429 0.635846006873 8 6 4 7 0132 0132 0132 0132 1 1 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 1 0 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736404383604 0.792481005172 6 5 12 12 0321 0132 1230 1302 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 0 0 0 0 0 0 0 0 0 0 0 1 -6 5 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 0.298871942997 0.962468947896 12 5 8 5 1023 0321 0213 0132 1 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 1 -1 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 0.705739389713 0.947618893732 7 11 10 10 0132 1023 2031 3012 0 1 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 -1 0 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298871942997 0.962468947896 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_1001_11'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_10'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_3'], 's_0_10' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_0101_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_10']), 's_1_7' : d['1'], 's_1_6' : 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' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), '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_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_3'], '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_0101_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_4, c_1001_0, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 592991231/17408*c_1100_0^6 - 31903430159/156672*c_1100_0^5 + 110859106039/78336*c_1100_0^4 - 100170978013/26112*c_1100_0^3 + 606098996819/156672*c_1100_0^2 - 53193956609/52224*c_1100_0 + 3812849585/19584, c_0011_0 - 1, c_0011_11 - 14949/17408*c_1100_0^6 + 93683/17408*c_1100_0^5 - 322981/8704*c_1100_0^4 + 928427/8704*c_1100_0^3 - 2143257/17408*c_1100_0^2 + 810375/17408*c_1100_0 - 9133/2176, c_0011_6 + 14949/17408*c_1100_0^6 - 93683/17408*c_1100_0^5 + 322981/8704*c_1100_0^4 - 928427/8704*c_1100_0^3 + 2143257/17408*c_1100_0^2 - 810375/17408*c_1100_0 + 9133/2176, c_0101_0 - 1, c_0101_1 - 2493/8704*c_1100_0^6 + 15355/8704*c_1100_0^5 - 52957/4352*c_1100_0^4 + 148659/4352*c_1100_0^3 - 320145/8704*c_1100_0^2 + 88687/8704*c_1100_0 - 965/1088, c_0101_10 - 13455/17408*c_1100_0^6 + 82813/17408*c_1100_0^5 - 285943/8704*c_1100_0^4 + 803309/8704*c_1100_0^3 - 1741915/17408*c_1100_0^2 + 533049/17408*c_1100_0 - 1779/2176, c_0101_12 + 1251/8704*c_1100_0^6 - 7819/8704*c_1100_0^5 + 27123/4352*c_1100_0^4 - 77955/4352*c_1100_0^3 + 187599/8704*c_1100_0^2 - 86063/8704*c_1100_0 + 1429/1088, c_0101_3 - 297/2176*c_1100_0^6 + 3531/4352*c_1100_0^5 - 6123/1088*c_1100_0^4 + 32911/2176*c_1100_0^3 - 31409/2176*c_1100_0^2 + 10959/4352*c_1100_0 + 131/544, c_0101_4 - 1, c_1001_0 - 297/2176*c_1100_0^6 + 3531/4352*c_1100_0^5 - 6123/1088*c_1100_0^4 + 32911/2176*c_1100_0^3 - 31409/2176*c_1100_0^2 + 10959/4352*c_1100_0 + 131/544, c_1001_10 - 1287/17408*c_1100_0^6 + 7421/17408*c_1100_0^5 - 26431/8704*c_1100_0^4 + 69117/8704*c_1100_0^3 - 151315/17408*c_1100_0^2 + 63193/17408*c_1100_0 - 2099/2176, c_1001_11 + 1251/8704*c_1100_0^6 - 7819/8704*c_1100_0^5 + 27123/4352*c_1100_0^4 - 77955/4352*c_1100_0^3 + 187599/8704*c_1100_0^2 - 86063/8704*c_1100_0 + 1429/1088, c_1100_0^7 - 58/9*c_1100_0^6 + 133/3*c_1100_0^5 - 132*c_1100_0^4 + 1495/9*c_1100_0^3 - 746/9*c_1100_0^2 + 59/3*c_1100_0 - 8/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.500 seconds, Total memory usage: 32.09MB