Magma V2.19-8 Tue Aug 20 2013 23:41:19 on localhost [Seed = 2227363852] Type ? for help. Type -D to quit. Loading file "L12n1311__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1311 geometric_solution 9.58585949 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 3120 1 0 1 1 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 -1 0 1 -1 0 1 0 0 -5 0 5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623170704661 0.923063797488 0 4 6 5 0132 0132 0132 0132 0 0 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 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 0.696910413652 0.510807850060 0 0 6 7 3120 0132 3012 0132 1 0 1 1 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 0 0 -5 1 0 4 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379085959156 0.928591617904 8 9 4 0 0132 0132 2031 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 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 0.542583919471 0.294190852320 6 1 7 3 0132 0132 2103 1302 0 0 1 1 0 -1 1 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 -3 4 -1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822480732601 0.689698514324 8 7 1 10 2103 2103 0132 0132 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 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 0 0 0 0.494583546310 0.303709984583 4 2 9 1 0132 1230 1230 0132 0 0 1 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 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696910413652 0.510807850060 4 5 2 10 2103 2103 0132 2103 1 0 0 1 0 0 0 0 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 0 1 -1 0 0 0 0 -4 0 0 4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.424308263717 0.772264800029 3 10 5 9 0132 2103 2103 3120 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 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 0.453659661521 0.873519154683 8 3 10 6 3120 0132 2103 3012 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 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.453659661521 0.873519154683 9 8 5 7 2103 2103 0132 2103 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 0 0 0 0 0 0 0 0 0 0 1 3 -4 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 0.531751012091 0.901610821487 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_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' : negation(d['c_0110_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0110_10']), '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_0110_10']), 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0011_3'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], '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_10'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], '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' : d['c_0101_1'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_0101_10'])})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 101/672*c_0101_6^5 + 43/48*c_0101_6^4 + 4441/672*c_0101_6^3 + 1907/672*c_0101_6^2 - 151/96*c_0101_6 + 551/672, c_0011_0 - 1, c_0011_10 - 5/7*c_0101_6^5 - 3*c_0101_6^4 - 2/7*c_0101_6^3 + 12/7*c_0101_6^2 - 2*c_0101_6 - 8/7, c_0011_3 + 5/7*c_0101_6^5 + 3*c_0101_6^4 + 2/7*c_0101_6^3 - 12/7*c_0101_6^2 + c_0101_6 + 8/7, c_0011_7 - c_0101_6, c_0101_0 - 1, c_0101_1 - 3/7*c_0101_6^5 - 2*c_0101_6^4 - 4/7*c_0101_6^3 + 17/7*c_0101_6^2 - 9/7, c_0101_10 + 1/7*c_0101_6^5 - 15/7*c_0101_6^3 - 1/7*c_0101_6^2 + c_0101_6 - 11/7, c_0101_2 - 3/7*c_0101_6^5 - 2*c_0101_6^4 - 4/7*c_0101_6^3 + 17/7*c_0101_6^2 - 9/7, c_0101_3 - 1/7*c_0101_6^5 - c_0101_6^4 - 6/7*c_0101_6^3 + 8/7*c_0101_6^2 - 3/7, c_0101_6^6 + 4*c_0101_6^5 - c_0101_6^4 - 5*c_0101_6^3 + 3*c_0101_6^2 + 3*c_0101_6 - 2, c_0110_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB