Magma V2.19-8 Wed Aug 21 2013 00:05:04 on localhost [Seed = 2581592039] Type ? for help. Type -D to quit. Loading file "L9a11__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a11 geometric_solution 11.76223429 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 1 0 -1 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 0.853064216988 0.887220247347 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447774647276 0.742843724629 8 0 9 9 0132 0132 2103 0132 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 0 0 0 -1 0 1 1 0 -1 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 0.616731939820 0.764048747547 8 8 9 0 2031 0321 2031 0132 1 1 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 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 0.616731939820 0.764048747547 5 6 0 7 0132 0132 0132 0132 1 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 0 1 -1 1 0 -1 0 0 4 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447774647276 0.742843724629 4 1 10 11 0132 0132 0132 0132 1 1 1 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 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612112261377 0.673487715470 8 4 1 9 1023 0132 0132 2031 1 1 1 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 0 0 0 0 0 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853064216988 0.887220247347 11 10 4 1 0132 0132 0132 0132 1 1 1 1 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 1 0 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 0.612112261377 0.673487715470 2 6 3 3 0132 1023 1302 0321 1 0 1 1 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 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 0.616731939820 0.764048747547 2 6 2 3 2103 1302 0132 1302 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 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 0.360322027192 0.792475826855 11 7 11 5 3120 0132 0213 0132 1 1 1 1 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 -1 0 0 0 1 -1 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648285821434 0.512943993795 7 10 5 10 0132 0213 0132 3120 1 1 1 1 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 0 0 4 -1 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648285821434 0.512943993795 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_5'], '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_1'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_3'], 'c_1100_8' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_1010_9']), 'c_1100_7' : negation(d['c_1010_9']), 'c_1100_6' : negation(d['c_1010_9']), 'c_1100_1' : negation(d['c_1010_9']), 'c_1100_0' : negation(d['c_1010_9']), 'c_1100_3' : negation(d['c_1010_9']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), '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_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0110_6'], 's_3_1' : d['1'], 's_3_0' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0110_6'], '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_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_5, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 131873/3050*c_1001_5^5 - 169079/1525*c_1001_5^4 + 48013/610*c_1001_5^3 + 123677/3050*c_1001_5^2 - 8295/122*c_1001_5 + 10293/610, c_0011_0 - 1, c_0011_10 + 168/61*c_1001_5^5 - 465/61*c_1001_5^4 + 416/61*c_1001_5^3 + 111/61*c_1001_5^2 - 304/61*c_1001_5 + 131/61, c_0011_3 + 1, c_0011_9 - 406/61*c_1001_5^5 + 590/61*c_1001_5^4 + 174/61*c_1001_5^3 - 680/61*c_1001_5^2 + 84/61*c_1001_5 + 207/61, c_0101_0 + 406/61*c_1001_5^5 - 590/61*c_1001_5^4 - 174/61*c_1001_5^3 + 680/61*c_1001_5^2 - 84/61*c_1001_5 - 207/61, c_0101_1 + c_1001_5, c_0101_3 - 1, c_0101_5 + 126/61*c_1001_5^5 - 242/61*c_1001_5^4 + 190/61*c_1001_5^3 + 7/61*c_1001_5^2 - 106/61*c_1001_5 + 83/61, c_0110_6 - 406/61*c_1001_5^5 + 590/61*c_1001_5^4 + 174/61*c_1001_5^3 - 680/61*c_1001_5^2 + 84/61*c_1001_5 + 146/61, c_1001_1 - 126/61*c_1001_5^5 + 242/61*c_1001_5^4 - 190/61*c_1001_5^3 - 7/61*c_1001_5^2 + 106/61*c_1001_5 - 83/61, c_1001_5^6 - 15/7*c_1001_5^5 + 3/7*c_1001_5^4 + 18/7*c_1001_5^3 - 12/7*c_1001_5^2 - 5/7*c_1001_5 + 5/7, c_1010_9 + 1 ], 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_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_6, c_1001_1, c_1001_5, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 2289861/99328*c_1001_5^6 + 7155867/99328*c_1001_5^5 + 12041033/99328*c_1001_5^4 + 2578619/49664*c_1001_5^3 - 1761021/24832*c_1001_5^2 - 9621087/99328*c_1001_5 - 2783417/99328, c_0011_0 - 1, c_0011_10 - 24/97*c_1001_5^6 - 152/97*c_1001_5^5 - 309/97*c_1001_5^4 - 336/97*c_1001_5^3 + 107/97*c_1001_5^2 + 328/97*c_1001_5 + 159/97, c_0011_3 + 1, c_0011_9 + 339/97*c_1001_5^6 + 983/97*c_1001_5^5 + 1685/97*c_1001_5^4 + 672/97*c_1001_5^3 - 796/97*c_1001_5^2 - 1141/97*c_1001_5 - 318/97, c_0101_0 - 339/97*c_1001_5^6 - 983/97*c_1001_5^5 - 1685/97*c_1001_5^4 - 672/97*c_1001_5^3 + 796/97*c_1001_5^2 + 1141/97*c_1001_5 + 318/97, c_0101_1 + c_1001_5, c_0101_3 + 1, c_0101_5 - 192/97*c_1001_5^6 - 634/97*c_1001_5^5 - 1114/97*c_1001_5^4 - 554/97*c_1001_5^3 + 565/97*c_1001_5^2 + 878/97*c_1001_5 + 205/97, c_0110_6 + 339/97*c_1001_5^6 + 983/97*c_1001_5^5 + 1685/97*c_1001_5^4 + 672/97*c_1001_5^3 - 796/97*c_1001_5^2 - 1141/97*c_1001_5 - 221/97, c_1001_1 + 192/97*c_1001_5^6 + 634/97*c_1001_5^5 + 1114/97*c_1001_5^4 + 554/97*c_1001_5^3 - 565/97*c_1001_5^2 - 878/97*c_1001_5 - 205/97, c_1001_5^7 + 10/3*c_1001_5^6 + 6*c_1001_5^5 + 11/3*c_1001_5^4 - 2*c_1001_5^3 - 13/3*c_1001_5^2 - 2*c_1001_5 - 1/3, c_1010_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB