Magma V2.19-8 Wed Aug 21 2013 00:53:44 on localhost [Seed = 813049273] Type ? for help. Type -D to quit. Loading file "L12n1894__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1894 geometric_solution 11.42556178 oriented_manifold CS_known -0.0000000000000007 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 2 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 0 1 1 0 -1 0 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.254053489698 1.370354585865 0 5 4 6 0132 0132 1230 0132 0 0 1 2 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 -1 0 -2 3 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811904060806 0.425200599473 6 0 7 3 0132 0132 0132 3120 2 0 1 2 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 0 -1 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.062829700081 0.464969410277 2 8 5 0 3120 0132 2031 0132 2 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257747635019 0.843323434734 9 9 0 1 0132 2310 0132 3012 2 0 0 2 0 1 0 -1 0 0 0 0 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 -2 -1 3 0 0 0 0 -2 0 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.388540234510 1.548813600305 10 1 8 3 0132 0132 1023 1302 0 2 2 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 0 -1 1 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204163643586 1.024028695057 2 10 1 11 0132 0132 0132 0132 0 0 2 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 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.088973878115 0.770669555810 9 11 12 2 2103 3120 0132 0132 2 0 2 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 0 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614282698169 0.485947125062 10 3 5 12 3012 0132 1023 0132 2 0 2 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 0 0 0 -1 0 1 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.714597423616 2.112113657411 4 11 7 4 0132 2031 2103 3201 2 0 2 0 0 0 1 -1 0 0 0 0 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 -3 2 0 0 0 0 -2 0 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641298088844 0.970564565828 5 6 12 8 0132 0132 2310 1230 0 2 1 2 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 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974655325285 0.696227711796 9 7 6 12 1302 3120 0132 1230 0 0 2 2 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 2 0 -3 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 -0.025344674715 0.696227711796 11 10 8 7 3012 3201 0132 0132 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520975124043 0.941654081564 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_8'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_4'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(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' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_3']), 's_3_1' : negation(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'], 'c_1100_12' : negation(d['c_0101_3']), '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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], '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_0011_12'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0011_12'], '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_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], '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_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4']})} 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_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_0101_8, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 578034129/5628847*c_1001_10^5 + 40854837831/99711004*c_1001_10^4 - 396406244055/697977028*c_1001_10^3 + 40193736878/174494257*c_1001_10^2 + 89667006761/697977028*c_1001_10 - 9724272099/99711004, c_0011_0 - 1, c_0011_11 - 8203/2954*c_1001_10^5 + 444985/91574*c_1001_10^4 - 361/45787*c_1001_10^3 - 59215/45787*c_1001_10^2 - 201833/91574*c_1001_10 - 64411/91574, c_0011_12 - 2249/422*c_1001_10^5 + 227403/13082*c_1001_10^4 - 123331/6541*c_1001_10^3 + 55882/6541*c_1001_10^2 - 78183/13082*c_1001_10 + 64979/13082, c_0011_3 - 2281/2954*c_1001_10^5 - 415091/91574*c_1001_10^4 + 534005/45787*c_1001_10^3 - 259478/45787*c_1001_10^2 + 92027/91574*c_1001_10 - 447325/91574, c_0011_4 - 5373/2954*c_1001_10^5 + 413629/91574*c_1001_10^4 - 137737/45787*c_1001_10^3 + 18103/45787*c_1001_10^2 - 142617/91574*c_1001_10 + 76869/91574, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 1527/422*c_1001_10^5 - 200201/13082*c_1001_10^4 + 129298/6541*c_1001_10^3 - 54584/6541*c_1001_10^2 + 61809/13082*c_1001_10 - 78973/13082, c_0101_3 - 13519/2954*c_1001_10^5 + 1432763/91574*c_1001_10^4 - 767710/45787*c_1001_10^3 + 304770/45787*c_1001_10^2 - 491879/91574*c_1001_10 + 411531/91574, c_0101_7 + 4073/1477*c_1001_10^5 - 509567/45787*c_1001_10^4 + 629973/45787*c_1001_10^3 - 286667/45787*c_1001_10^2 + 128844/45787*c_1001_10 - 167331/45787, c_0101_8 + 7034/1477*c_1001_10^5 - 939605/45787*c_1001_10^4 + 1164339/45787*c_1001_10^3 - 486930/45787*c_1001_10^2 + 275774/45787*c_1001_10 - 358788/45787, c_1001_1 - 423/211*c_1001_10^5 + 61434/6541*c_1001_10^4 - 76338/6541*c_1001_10^3 + 28609/6541*c_1001_10^2 - 20990/6541*c_1001_10 + 27351/6541, c_1001_10^6 - 136/31*c_1001_10^5 + 229/31*c_1001_10^4 - 182/31*c_1001_10^3 + 91/31*c_1001_10^2 - 66/31*c_1001_10 + 37/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB