Magma V2.19-8 Wed Aug 21 2013 01:05:35 on localhost [Seed = 1949461749] Type ? for help. Type -D to quit. Loading file "L14n26528__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26528 geometric_solution 11.05906806 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 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 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 0.855658884532 0.661545429002 0 4 4 5 0132 0132 1302 0132 1 1 1 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268539133838 0.565522781626 0 0 4 6 3012 0132 0132 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 1 0 -1 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314827583630 1.442920461015 7 8 5 0 0132 0132 2310 0132 1 1 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 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 0.538413635126 1.103645583196 1 1 9 2 2031 0132 0132 0132 1 1 0 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 -1 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314827583630 1.442920461015 7 3 1 10 2103 3201 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 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 0.322540564333 0.771189307822 9 8 2 7 1023 0213 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642943505141 0.731897927158 3 9 5 6 0132 0213 2103 0213 1 1 1 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 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 1.612558216663 1.977298597806 11 3 6 10 0132 0132 0213 3120 1 1 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 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 0.092191144012 0.240072366923 12 6 7 4 0132 1023 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 0 0 0 -1 0 0 1 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642943505141 0.731897927158 8 11 5 12 3120 0321 0132 1302 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 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 1.374115158104 0.915971092414 8 12 12 10 0132 0321 2310 0321 1 1 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 0 0 0 0 0 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 1.843079642262 0.730179694253 9 11 10 11 0132 3201 2031 0321 1 1 1 1 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 -1 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 0.791218129790 0.401195407126 ==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_0011_10'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_11']), 'c_1010_11' : negation(d['c_1001_11']), 'c_1010_10' : negation(d['c_1001_11']), 's_0_10' : 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_0101_11'], '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' : 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' : 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' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1010_7'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_1010_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_10']), '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'], 'c_1100_12' : d['c_1001_11'], '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_10']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3'])})} 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_11, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_1001_0, c_1001_11, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 512/9*c_1010_7 - 256/9, c_0011_0 - 1, c_0011_10 - 1/2*c_1010_7 - 1/2, c_0011_11 + 1/2*c_1010_7 - 1/2, c_0011_5 - 1/2*c_1010_7 - 1/2, c_0101_0 - 1, c_0101_10 - 1/2*c_1010_7 + 1/2, c_0101_11 - c_1010_7 - 1, c_0101_12 - 1/2*c_1010_7 - 1/2, c_0101_2 - c_1010_7 - 1, c_0101_3 - 1/2*c_1010_7 - 1/2, c_1001_0 + 1/2*c_1010_7 + 1/2, c_1001_11 - 1/2*c_1010_7 + 1/2, c_1010_7^2 + c_1010_7 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_1001_0, c_1001_11, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 228352/3*c_1010_7^5 - 186368/3*c_1010_7^4 + 40448*c_1010_7^3 + 186368/3*c_1010_7^2 - 228352/3*c_1010_7 + 80896, c_0011_0 - 1, c_0011_10 - 1/2*c_1010_7^5 + 1/2*c_1010_7 + 1/2, c_0011_11 + 1/2*c_1010_7^4 + 1/2*c_1010_7^3 + 1/2, c_0011_5 - 1/2*c_1010_7^4 + 1/2*c_1010_7^3 + 1/2, c_0101_0 - 1, c_0101_10 - 1/2*c_1010_7^4 - 1/2*c_1010_7^3 - 1/2, c_0101_11 + 1/2*c_1010_7 + 1/2, c_0101_12 + c_1010_7^5 + 1/2*c_1010_7^4 - 1/2*c_1010_7^3 - 1/2, c_0101_2 + c_1010_7^5, c_0101_3 - 1/2*c_1010_7^4 + 1/2*c_1010_7^3 + 1/2, c_1001_0 - c_1010_7^5 - 1/2*c_1010_7^4 + 1/2*c_1010_7^3 + 1/2, c_1001_11 + 1/2*c_1010_7^5 + 1/2*c_1010_7^4 + 1/2*c_1010_7^3 + c_1010_7^2 + 1/2*c_1010_7, c_1010_7^6 + c_1010_7^3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.510 Total time: 0.720 seconds, Total memory usage: 32.09MB