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Loading file "K11n142__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n142 geometric_solution 11.18083695 oriented_manifold CS_known -0.0000000000000009 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 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 -1 1 -1 0 1 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 0.451116877214 0.668097350050 0 5 7 6 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406508586227 0.883231422165 8 0 9 5 0132 0132 0132 0132 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 0 0 0 0 0.786800400467 1.325024714547 9 6 8 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.670164538975 0.675588837977 10 6 0 9 0132 1302 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 -1 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 0.939745916346 1.257862091965 11 1 2 8 0132 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 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 0.394393214725 1.351767381307 10 3 1 4 2103 0132 0132 2031 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 1 0 -1 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 0.583560912787 1.195284575324 10 11 9 1 3120 0321 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776657930427 0.631101314222 2 11 5 3 0132 0132 0132 0132 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 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 0.486609380185 0.344883541263 3 7 4 2 0132 1230 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 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 0.510955748654 0.387845774688 4 11 6 7 0132 1230 2103 3120 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 -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 0.132444035573 0.527187225274 5 8 10 7 0132 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 0.330964855896 0.928564601360 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_0'], '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' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_9']), 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0011_10']), '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' : 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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_0'], 'c_0101_8' : negation(d['c_0011_7']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_7']})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0, c_1001_1, c_1001_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3314362624/1734291*c_1100_0^7 - 4066424404/578097*c_1100_0^6 - 10990769015/1734291*c_1100_0^5 + 10553018087/1734291*c_1100_0^4 + 21052260301/1734291*c_1100_0^3 + 140934707/64233*c_1100_0^2 - 4913385203/578097*c_1100_0 - 6322220836/1734291, c_0011_0 - 1, c_0011_10 - 3232/21411*c_1100_0^7 - 1324/7137*c_1100_0^6 + 13753/21411*c_1100_0^5 + 8783/21411*c_1100_0^4 - 30845/21411*c_1100_0^3 - 553/793*c_1100_0^2 + 3466/7137*c_1100_0 + 4517/21411, c_0011_3 + 9164/64233*c_1100_0^7 + 12269/21411*c_1100_0^6 + 31624/64233*c_1100_0^5 - 63088/64233*c_1100_0^4 - 99014/64233*c_1100_0^3 + 2201/2379*c_1100_0^2 + 29797/21411*c_1100_0 - 12463/64233, c_0011_7 - 39860/64233*c_1100_0^7 - 40319/21411*c_1100_0^6 - 41077/64233*c_1100_0^5 + 184186/64233*c_1100_0^4 + 166817/64233*c_1100_0^3 - 746/2379*c_1100_0^2 - 52102/21411*c_1100_0 - 2033/64233, c_0101_0 + 45040/64233*c_1100_0^7 + 49684/21411*c_1100_0^6 + 88700/64233*c_1100_0^5 - 181436/64233*c_1100_0^4 - 171253/64233*c_1100_0^3 + 2230/2379*c_1100_0^2 + 52889/21411*c_1100_0 - 5180/64233, c_0101_1 - 19328/21411*c_1100_0^7 - 17528/7137*c_1100_0^6 - 10606/21411*c_1100_0^5 + 75631/21411*c_1100_0^4 + 46610/21411*c_1100_0^3 - 1195/793*c_1100_0^2 - 21388/7137*c_1100_0 - 3938/21411, c_0101_2 - 16096/21411*c_1100_0^7 - 16204/7137*c_1100_0^6 - 24359/21411*c_1100_0^5 + 66848/21411*c_1100_0^4 + 77455/21411*c_1100_0^3 - 642/793*c_1100_0^2 - 24854/7137*c_1100_0 - 8455/21411, c_0101_7 - 9164/64233*c_1100_0^7 - 12269/21411*c_1100_0^6 - 31624/64233*c_1100_0^5 + 63088/64233*c_1100_0^4 + 99014/64233*c_1100_0^3 - 2201/2379*c_1100_0^2 - 29797/21411*c_1100_0 + 12463/64233, c_1001_0 + c_1100_0, c_1001_1 + 19688/64233*c_1100_0^7 + 20714/21411*c_1100_0^6 + 54175/64233*c_1100_0^5 + 2516/64233*c_1100_0^4 - 28070/64233*c_1100_0^3 - 1831/2379*c_1100_0^2 + 19624/21411*c_1100_0 + 22037/64233, c_1001_9 - 736/64233*c_1100_0^7 - 3976/21411*c_1100_0^6 + 376/64233*c_1100_0^5 + 46730/64233*c_1100_0^4 + 33466/64233*c_1100_0^3 - 1021/2379*c_1100_0^2 + 14074/21411*c_1100_0 - 28438/64233, c_1100_0^8 + 13/4*c_1100_0^7 + 2*c_1100_0^6 - 15/4*c_1100_0^5 - 9/2*c_1100_0^4 + 1/2*c_1100_0^3 + 15/4*c_1100_0^2 + 1/4*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.640 Total time: 0.850 seconds, Total memory usage: 64.12MB