Magma V2.19-8 Tue Aug 20 2013 23:43:11 on localhost [Seed = 1174414193] Type ? for help. Type -D to quit. Loading file "L13n7535__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7535 geometric_solution 10.82245680 oriented_manifold CS_known -0.0000000000000005 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 1 2 0 1 0 0 0 0 1 0 -1 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 1 0 -1 -5 0 6 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543806006312 0.835638899357 0 0 5 4 0132 1302 0132 0132 2 2 1 0 0 0 0 0 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 5 0 0 -5 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452921007516 0.840668329946 5 0 5 4 0132 0132 3012 2031 1 2 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 -1 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 0.503300210834 0.921926285849 6 7 5 0 0132 0132 3120 0132 1 2 1 2 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 0 0 0 6 0 0 -6 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407427816957 0.919823965919 8 2 1 9 0132 1302 0132 0132 2 2 1 1 0 0 0 0 0 0 -1 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 0 0 0 0 0 5 -5 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494957662217 0.768301200850 2 2 3 1 0132 1230 3120 0132 2 2 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 -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 0.452921007516 0.840668329946 3 9 8 10 0132 1023 0132 0132 2 2 2 1 0 -1 0 1 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 5 0 -5 -6 0 1 5 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593266781897 1.182598797776 8 3 8 9 2103 0132 3012 3201 1 2 2 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 -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 0.370212122836 0.832117046605 4 7 7 6 0132 1230 2103 0132 2 2 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 -1 1 0 0 0 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553679414152 1.003184241753 6 7 4 10 1023 2310 0132 3120 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 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 0.661088286305 0.675575638815 9 10 6 10 3120 1302 0132 2031 2 2 2 2 0 1 -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 -5 5 0 0 0 -5 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 0.416508936178 0.350146680869 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_10' : d['c_0110_10'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_3']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0011_10'], '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' : negation(d['1']), 's_2_2' : negation(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_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_10'], 'c_0110_8' : d['c_0101_0'], '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_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_0110_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 53270379/38223296*c_0110_10^6 + 1683963229/76446592*c_0110_10^5 - 1712996417/38223296*c_0110_10^4 + 7229633265/76446592*c_0110_10^3 - 5284253075/76446592*c_0110_10^2 + 1547345291/38223296*c_0110_10 - 125149985/19111648, c_0011_0 - 1, c_0011_10 + 19779/1194478*c_0110_10^6 + 540877/2388956*c_0110_10^5 - 1385223/1194478*c_0110_10^4 + 2662757/2388956*c_0110_10^3 - 4439523/2388956*c_0110_10^2 - 97555/1194478*c_0110_10 - 262852/597239, c_0011_3 + 97865/1194478*c_0110_10^6 + 3086275/2388956*c_0110_10^5 - 1626712/597239*c_0110_10^4 + 11910287/2388956*c_0110_10^3 - 8441267/2388956*c_0110_10^2 + 945627/597239*c_0110_10 - 218029/597239, c_0011_4 - 1755/1194478*c_0110_10^6 + 105643/2388956*c_0110_10^5 + 1326267/1194478*c_0110_10^4 - 5522553/2388956*c_0110_10^3 + 11477039/2388956*c_0110_10^2 - 3435093/1194478*c_0110_10 + 687868/597239, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1755/1194478*c_0110_10^6 + 105643/2388956*c_0110_10^5 + 1326267/1194478*c_0110_10^4 - 5522553/2388956*c_0110_10^3 + 11477039/2388956*c_0110_10^2 - 3435093/1194478*c_0110_10 + 687868/597239, c_0101_5 - 1755/1194478*c_0110_10^6 + 105643/2388956*c_0110_10^5 + 1326267/1194478*c_0110_10^4 - 5522553/2388956*c_0110_10^3 + 11477039/2388956*c_0110_10^2 - 3435093/1194478*c_0110_10 + 1285107/597239, c_0101_7 - 97865/1194478*c_0110_10^6 - 3086275/2388956*c_0110_10^5 + 1626712/597239*c_0110_10^4 - 11910287/2388956*c_0110_10^3 + 8441267/2388956*c_0110_10^2 - 945627/597239*c_0110_10 + 218029/597239, c_0110_10^7 + 31/2*c_0110_10^6 - 37*c_0110_10^5 + 155/2*c_0110_10^4 - 141/2*c_0110_10^3 + 47*c_0110_10^2 - 18*c_0110_10 + 8, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB