Magma V2.19-8 Tue Aug 20 2013 23:45:06 on localhost [Seed = 1259155089] Type ? for help. Type -D to quit. Loading file "K13n2355__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2355 geometric_solution 11.14226673 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 1 0 0 -1 1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.029771811694 1.141503285697 0 5 7 6 0132 0132 0132 0132 0 0 0 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 7 0 -7 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931136642850 0.988665237038 5 0 3 5 0321 0132 0213 0213 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 1 0 -1 -6 0 0 6 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530947773465 0.508860835605 8 2 9 0 0132 0213 0132 0132 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 -1 0 0 1 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475196294169 0.589555863259 8 9 0 10 1230 0132 0132 0132 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 -1 1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161700194534 1.044672235237 2 1 7 2 0321 0132 0213 0213 0 0 0 0 0 1 -1 0 0 0 1 -1 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 -7 6 1 0 0 -7 7 0 6 0 -6 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530947773465 0.508860835605 8 11 1 9 2103 0132 0132 3012 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.023398886132 1.390259761909 10 5 11 1 0213 0213 0132 0132 0 0 0 0 0 1 -1 0 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 -6 6 0 0 0 0 0 -1 7 0 -6 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420277623966 0.515023583954 3 4 6 10 0132 3012 2103 1023 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 1 0 0 -1 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690331210531 0.365532656742 11 4 6 3 0132 0132 1230 0132 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 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322909670825 0.852195857968 7 11 4 8 0213 1230 0132 1023 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 -1 1 1 0 -1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963292273922 1.039546159587 9 6 10 7 0132 0132 3012 0132 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 6 -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 0 0 0 0.582629314177 0.788522736625 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0101_11'], '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_3']), '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_2_11' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0110_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_1']), '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_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), '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_0011_10'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_6'])})} 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_11, c_0110_6, c_1001_0, c_1001_10, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 195463997/134470*c_1001_10*c_1001_5^4 - 89602777/26894*c_1001_10*c_1001_5^3 + 113055294/13447*c_1001_10*c_1001_5^2 - 1149964013/134470*c_1001_10*c_1001_5 + 220018682/67235*c_1001_10 + 18005486/13447*c_1001_5^4 - 41904080/13447*c_1001_5^3 + 105286480/13447*c_1001_5^2 - 108948081/13447*c_1001_5 + 42703746/13447, c_0011_0 - 1, c_0011_10 + c_1001_10 + 1/5*c_1001_5^4 + c_1001_5^2 + 1/5*c_1001_5 - 3/5, c_0011_11 - 2/5*c_1001_10*c_1001_5^4 - c_1001_10*c_1001_5^2 - 7/5*c_1001_10*c_1001_5 + 6/5*c_1001_10 - 1/5*c_1001_5^4 + c_1001_5^3 - c_1001_5^2 + 9/5*c_1001_5 - 2/5, c_0011_3 - 1/5*c_1001_5^4 - c_1001_5^2 - 1/5*c_1001_5 + 3/5, c_0101_0 - 2/5*c_1001_10*c_1001_5^4 - c_1001_10*c_1001_5^2 - 7/5*c_1001_10*c_1001_5 + 6/5*c_1001_10 + 1/5*c_1001_5^4 + c_1001_5^2 + 1/5*c_1001_5 - 3/5, c_0101_1 + 4/5*c_1001_10*c_1001_5^4 - c_1001_10*c_1001_5^3 + 3*c_1001_10*c_1001_5^2 - 1/5*c_1001_10*c_1001_5 - 7/5*c_1001_10 - 1/5*c_1001_5^4 - 6/5*c_1001_5 + 3/5, c_0101_11 + 4/5*c_1001_10*c_1001_5^4 - c_1001_10*c_1001_5^3 + 3*c_1001_10*c_1001_5^2 - 1/5*c_1001_10*c_1001_5 - 7/5*c_1001_10 - 1/5*c_1001_5^4 - 1/5*c_1001_5 + 3/5, c_0110_6 + 1/5*c_1001_5^4 + 1/5*c_1001_5 - 3/5, c_1001_0 - 2/5*c_1001_5^4 + c_1001_5^3 - 2*c_1001_5^2 + 8/5*c_1001_5 + 1/5, c_1001_10^2 + 2/5*c_1001_5^4 - 2*c_1001_5^3 + 2*c_1001_5^2 + 2/5*c_1001_5 - 6/5, c_1001_2 - c_1001_5, c_1001_5^5 - 2*c_1001_5^4 + 5*c_1001_5^3 - 4*c_1001_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.170 Total time: 1.379 seconds, Total memory usage: 32.09MB