Magma V2.19-8 Wed Aug 21 2013 01:06:29 on localhost [Seed = 3785881896] Type ? for help. Type -D to quit. Loading file "L14n32702__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32702 geometric_solution 11.86149353 oriented_manifold CS_known -0.0000000000000002 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 0 0 0 0 0 0 0 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.232272709717 0.651726202479 0 2 6 5 0132 2310 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 0 0 0 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 0.986514502367 0.984142636342 7 0 7 1 0132 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363895177261 1.454383915781 8 4 9 0 0132 2103 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 0 0 0 0 0 0 0 0 1 0 -1 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610356929962 0.957860257622 7 3 0 6 3120 2103 0132 0321 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 1 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 1.049237281073 1.072156837982 10 11 1 10 0132 0132 0132 2031 1 1 0 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 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 0.838774593923 1.068869837991 7 4 9 1 2103 0321 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426494715748 0.568818133483 2 2 6 4 0132 3201 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274183775609 0.371184827956 3 9 10 12 0132 3120 0132 0132 1 1 1 1 0 0 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 1 -4 3 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857144916029 0.368043316859 11 8 6 3 3012 3120 0321 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 0 0 0 0 -3 0 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313485357148 0.677619522199 5 5 12 8 0132 1302 3012 0132 1 1 1 0 0 0 1 -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 -4 4 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 0.545632185896 0.579011399926 12 5 12 9 3012 0132 1302 1230 1 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 0 0 0 0 0 0 0 -3 0 0 3 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537774286376 1.265683635000 11 10 8 11 2031 1230 0132 1230 1 1 0 1 0 0 1 -1 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 -3 3 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 0.715637305362 0.669264444444 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_1001_8']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : d['c_1001_8'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_12']), 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(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' : 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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_8']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_1001_8']), 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_9']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_9'], 's_1_7' : negation(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' : 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' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_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_0011_9'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_0'], '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_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : negation(d['c_0011_6']), 'c_1100_8' : d['c_0011_9']})} 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_6, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_6, c_1001_0, c_1001_6, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 13737/415324*c_1001_8^5 - 71353/415324*c_1001_8^4 - 192191/415324*c_1001_8^3 - 493159/415324*c_1001_8^2 - 2807/8476*c_1001_8 - 639105/415324, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 3/7*c_1001_8^5 - 23/7*c_1001_8^3 + 33/7*c_1001_8^2 - 36/7*c_1001_8 + 38/7, c_0011_3 - 4/7*c_1001_8^5 - 5/7*c_1001_8^4 - 36/7*c_1001_8^3 + 2/7*c_1001_8^2 - 6*c_1001_8 - 2/7, c_0011_6 - 1/7*c_1001_8^5 - c_1001_8^4 - 17/7*c_1001_8^3 - 52/7*c_1001_8^2 - 12/7*c_1001_8 - 55/7, c_0011_9 + 1/7*c_1001_8^5 - 3/7*c_1001_8^4 + 4/7*c_1001_8^3 - 39/7*c_1001_8^2 + 17/7*c_1001_8 - 48/7, c_0101_0 + 2/7*c_1001_8^5 + 2/7*c_1001_8^4 + 17/7*c_1001_8^3 - 8/7*c_1001_8^2 + 9/7*c_1001_8 - 15/7, c_0101_1 - 3/7*c_1001_8^5 - 23/7*c_1001_8^3 + 33/7*c_1001_8^2 - 36/7*c_1001_8 + 38/7, c_0101_12 + 1/7*c_1001_8^5 + 5/7*c_1001_8^4 + 13/7*c_1001_8^3 + 31/7*c_1001_8^2 - 1/7*c_1001_8 + 33/7, c_0101_6 - c_1001_8^5 - 13/7*c_1001_8^4 - 68/7*c_1001_8^3 - 5*c_1001_8^2 - 67/7*c_1001_8 - 38/7, c_1001_0 - 1, c_1001_6 + 1/7*c_1001_8^5 - 4/7*c_1001_8^4 + 2/7*c_1001_8^3 - 46/7*c_1001_8^2 + 2*c_1001_8 - 45/7, c_1001_8^6 + c_1001_8^5 + 10*c_1001_8^4 - c_1001_8^3 + 22*c_1001_8^2 - 3*c_1001_8 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.560 Total time: 0.760 seconds, Total memory usage: 32.09MB