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Loading file "L12n873__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n873 geometric_solution 10.72985423 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 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 0 0 0 0 0 -2 0 2 -1 0 1 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 1.172796074498 0.847266887020 0 5 7 6 0132 0132 0132 0132 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 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 0.768383202654 0.390127493080 6 0 8 6 3120 0132 0132 0321 0 1 1 0 0 -1 1 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 2 -1 -1 0 0 0 0 -2 -1 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229812601421 0.833725926230 6 5 8 0 0132 2031 2103 0132 0 1 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 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 0.413690643846 0.365827725585 9 9 0 7 0132 2310 0132 0132 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 0 0 0 0 1 -2 1 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 0.369096571616 0.832297346347 3 1 8 10 1302 0132 0321 0132 0 1 0 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 1 -1 -1 0 0 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 0.682156460437 0.628307804301 3 2 1 2 0132 0321 0132 3120 0 1 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 0 0 0 0 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.597838113997 0.647158258169 10 10 4 1 3201 0132 0132 0132 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 0 0 0 0 0 0 0 1 -1 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 1.172796074498 0.847266887020 3 11 5 2 2103 0132 0321 0132 0 1 0 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 -1 1 -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 0.175221044917 0.779547704509 4 11 11 4 0132 3201 0132 3201 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 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 -0.445257323985 1.004036660574 11 7 5 7 0213 0132 0132 2310 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 -1 1 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 0.439741337729 0.404749489728 10 8 9 9 0213 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369096571616 0.832297346347 ==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_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_1']), '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_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_5'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_4']), 'c_1100_11' : negation(d['c_0011_4']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0101_7']), 'c_0101_7' : d['c_0101_7'], '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_0011_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_7'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], '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_0011_3'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3']})} 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_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_1, c_1001_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1319133/253216*c_1001_5^8 - 7376015/253216*c_1001_5^7 - 687955/63304*c_1001_5^6 + 18882885/253216*c_1001_5^5 + 5009815/253216*c_1001_5^4 - 35015143/253216*c_1001_5^3 - 5570215/126608*c_1001_5^2 + 8195207/126608*c_1001_5 - 93967/7913, c_0011_0 - 1, c_0011_10 + 87/1544*c_1001_5^8 + 593/1544*c_1001_5^7 + 99/193*c_1001_5^6 - 903/1544*c_1001_5^5 - 1409/1544*c_1001_5^4 + 2481/1544*c_1001_5^3 + 1027/772*c_1001_5^2 - 373/772*c_1001_5 + 134/193, c_0011_11 - 59/772*c_1001_5^8 - 913/1544*c_1001_5^7 - 1773/1544*c_1001_5^6 + 253/772*c_1001_5^5 + 3617/1544*c_1001_5^4 - 1069/1544*c_1001_5^3 - 7673/1544*c_1001_5^2 - 1799/772*c_1001_5 + 1081/772, c_0011_3 + 255/1544*c_1001_5^8 + 353/386*c_1001_5^7 + 225/1544*c_1001_5^6 - 4803/1544*c_1001_5^5 - 139/386*c_1001_5^4 + 1191/193*c_1001_5^3 + 623/1544*c_1001_5^2 - 1037/193*c_1001_5 + 819/772, c_0011_4 - 85/386*c_1001_5^8 - 877/772*c_1001_5^7 + 43/772*c_1001_5^6 + 1215/386*c_1001_5^5 - 723/772*c_1001_5^4 - 4229/772*c_1001_5^3 + 807/772*c_1001_5^2 + 1157/386*c_1001_5 - 739/386, c_0101_0 - 1, c_0101_1 - 87/1544*c_1001_5^8 - 593/1544*c_1001_5^7 - 99/193*c_1001_5^6 + 903/1544*c_1001_5^5 + 1409/1544*c_1001_5^4 - 2481/1544*c_1001_5^3 - 1027/772*c_1001_5^2 + 373/772*c_1001_5 - 134/193, c_0101_2 + 59/772*c_1001_5^8 + 913/1544*c_1001_5^7 + 1773/1544*c_1001_5^6 - 253/772*c_1001_5^5 - 3617/1544*c_1001_5^4 + 1069/1544*c_1001_5^3 + 7673/1544*c_1001_5^2 + 1799/772*c_1001_5 - 1081/772, c_0101_7 + 1629/1544*c_1001_5^8 + 4803/772*c_1001_5^7 + 5865/1544*c_1001_5^6 - 23217/1544*c_1001_5^5 - 5175/772*c_1001_5^4 + 21853/772*c_1001_5^3 + 20923/1544*c_1001_5^2 - 4873/386*c_1001_5 + 2975/772, c_1001_1 + 67/772*c_1001_5^8 + 991/1544*c_1001_5^7 + 1719/1544*c_1001_5^6 - 549/772*c_1001_5^5 - 4271/1544*c_1001_5^4 + 2843/1544*c_1001_5^3 + 8419/1544*c_1001_5^2 + 741/772*c_1001_5 - 907/772, c_1001_11 - 205/1544*c_1001_5^8 - 753/772*c_1001_5^7 - 2565/1544*c_1001_5^6 + 1409/1544*c_1001_5^5 + 2513/772*c_1001_5^4 - 1775/772*c_1001_5^3 - 9727/1544*c_1001_5^2 - 713/386*c_1001_5 + 545/772, c_1001_5^9 + 7*c_1001_5^8 + 10*c_1001_5^7 - 11*c_1001_5^6 - 23*c_1001_5^5 + 21*c_1001_5^4 + 44*c_1001_5^3 - 12*c_1001_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB