Magma V2.19-8 Wed Aug 21 2013 01:08:12 on localhost [Seed = 1443909484] Type ? for help. Type -D to quit. Loading file "L14n3864__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n3864 geometric_solution 12.26346635 oriented_manifold CS_known -0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 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 0.087829778910 0.964739075734 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 1 0 -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 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 0.455495227433 0.839705041936 8 0 4 9 0132 0132 2031 0132 1 1 1 1 0 0 0 0 -1 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 0 -1 1 0 -1 0 1 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 0.345179801476 0.577277852119 4 9 10 0 0321 1302 0132 0132 1 1 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 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 0.517462356480 0.547283987105 3 9 0 2 0321 0132 0132 1302 1 1 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 -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 0.472368713839 0.982438260216 8 1 7 11 1023 0132 0321 0132 0 1 1 1 0 -1 0 1 1 0 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 -1 0 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 -0.089009545134 1.679410083872 9 12 1 11 0213 0132 0132 0213 0 1 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 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 0.543640381750 0.838372026389 10 12 5 1 0213 0213 0321 0132 0 1 1 1 0 0 0 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 -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 0.750435579347 0.460071784926 2 5 12 10 0132 1023 1302 3012 1 1 1 1 0 -1 1 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 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 0.455495227433 0.839705041936 6 4 2 3 0213 0132 0132 2031 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 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 0.859299874759 0.757543501476 7 11 8 3 0213 1023 1230 0132 1 1 1 1 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 0 0 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 0.500871158693 0.920143569853 10 12 5 6 1023 0321 0132 0213 0 1 1 1 0 0 -1 1 -1 0 1 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 -1 1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271820190875 0.419186013194 8 6 7 11 2031 0132 0213 0321 0 1 1 1 0 0 0 0 -1 0 1 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.031470585538 0.593779224665 ==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' : negation(d['c_0011_7']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_12'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_11'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0110_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_7'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0011_7'], '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_12' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_0']), 'c_1100_8' : d['c_0011_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_12'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_0']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], '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_0011_3'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], 'c_1100_12' : d['c_1001_1'], 's_1_7' : d['1'], 's_1_6' : negation(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_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0110_11']), 's_2_9' : negation(d['1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_4, c_0011_7, c_0101_1, c_0101_2, c_0110_11, c_1001_0, c_1001_1, c_1001_12, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 5254985/484*c_1001_5^6 + 810386/121*c_1001_5^5 - 6623337/968*c_1001_5^4 + 11979749/3872*c_1001_5^3 - 28784513/7744*c_1001_5^2 + 6682519/15488*c_1001_5 - 8048831/15488, c_0011_0 - 1, c_0011_10 + 64/123*c_1001_5^6 + 16/123*c_1001_5^5 - 112/123*c_1001_5^4 + 16/123*c_1001_5^3 + 38/41*c_1001_5^2 - 1/41*c_1001_5 - 241/246, c_0011_12 + 128/123*c_1001_5^6 + 32/123*c_1001_5^5 - 224/123*c_1001_5^4 + 32/123*c_1001_5^3 + 76/41*c_1001_5^2 - 2/41*c_1001_5 - 118/123, c_0011_3 - 592/41*c_1001_5^6 + 704/123*c_1001_5^5 - 8/123*c_1001_5^4 - 34/123*c_1001_5^3 - 191/123*c_1001_5^2 - 223/246*c_1001_5 + 179/246, c_0011_4 - 160/123*c_1001_5^6 + 96/41*c_1001_5^5 - 16/41*c_1001_5^4 - 68/41*c_1001_5^3 + 2/123*c_1001_5^2 - 13/123*c_1001_5 + 4/123, c_0011_7 + 80/123*c_1001_5^6 - 48/41*c_1001_5^5 + 8/41*c_1001_5^4 + 34/41*c_1001_5^3 - 1/123*c_1001_5^2 - 233/246*c_1001_5 - 2/123, c_0101_1 + 128/123*c_1001_5^6 + 32/123*c_1001_5^5 - 224/123*c_1001_5^4 + 32/123*c_1001_5^3 + 76/41*c_1001_5^2 - 2/41*c_1001_5 - 118/123, c_0101_2 - 160/123*c_1001_5^6 + 96/41*c_1001_5^5 - 16/41*c_1001_5^4 - 68/41*c_1001_5^3 + 2/123*c_1001_5^2 - 13/123*c_1001_5 + 4/123, c_0110_11 - 1, c_1001_0 - 580/123*c_1001_5^6 - 104/123*c_1001_5^5 - 10/123*c_1001_5^4 - 331/246*c_1001_5^3 - 53/492*c_1001_5^2 - 541/984*c_1001_5 + 25/328, c_1001_1 - 1, c_1001_12 - 1, c_1001_5^7 - c_1001_5^6 + 1/2*c_1001_5^5 - 1/8*c_1001_5^4 + 3/16*c_1001_5^3 - 1/32*c_1001_5^2 - 1/16*c_1001_5 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB