Magma V2.19-8 Wed Aug 21 2013 01:05:27 on localhost [Seed = 3852729707] Type ? for help. Type -D to quit. Loading file "L14n26004__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26004 geometric_solution 12.53339859 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 1 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 -1 0 1 -2 0 3 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365013628143 0.718369384463 0 4 5 5 0132 0132 0213 0132 1 0 0 0 0 0 -1 1 -1 0 0 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 -1 -7 8 2 0 0 -2 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437826091152 1.106393004871 6 0 0 5 0132 0132 0321 0213 1 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 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 0.365013628143 0.718369384463 7 8 0 8 0132 0132 0132 0213 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 -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 0.422874882184 0.771856367484 7 1 9 9 1230 0132 0132 0321 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 -1 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621342554579 0.830993474959 10 1 1 2 0132 0213 0132 0213 1 0 0 0 0 1 -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 0 0 0 0 0 7 -8 1 -2 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 0.365013628143 0.718369384463 2 7 11 12 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.942086678371 0.828440830967 3 4 6 10 0132 3012 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.504190374457 0.701994879601 12 3 9 3 1302 0132 0321 0213 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 0 0 0 0 0 0 0 0 0 0 0 0.422874882184 0.771856367484 12 4 8 4 3120 0321 0321 0132 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422874882184 0.771856367484 5 7 11 12 0132 0321 3201 2310 0 0 0 0 0 0 -1 1 -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 3 -3 2 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 0.942086678371 0.828440830967 10 11 11 6 2310 1230 3012 0132 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 0 -1 1 0 0 0 0 2 -2 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.108684701708 0.605745293967 10 8 6 9 3201 2031 0132 3120 0 0 0 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 0.745077003766 0.451575408723 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_0101_7'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0101_4']), 's_0_10' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : negation(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_11'], 'c_1100_8' : d['c_1001_8'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_2'], '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_0011_11'], 's_1_7' : d['1'], 's_1_6' : 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' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_4'], 'c_0101_12' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : 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_4'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_8'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_0'])})} 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_3, c_0101_0, c_0101_10, c_0101_11, c_0101_4, c_0101_7, c_1001_0, c_1001_1, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 78483/37544*c_1001_8^4 + 59935/18772*c_1001_8^3 + 61875/18772*c_1001_8^2 - 184453/75088*c_1001_8 - 56973/75088, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 2*c_1001_8^3 + 2*c_1001_8^2 + 4*c_1001_8 + 2, c_0011_3 + 2*c_1001_8^4 - 2*c_1001_8^3 - 2*c_1001_8^2 - c_1001_8, c_0101_0 + 2*c_1001_8^4 - 4*c_1001_8^3 - 2*c_1001_8^2 + 3*c_1001_8 + 4, c_0101_10 + 4*c_1001_8^3 - 4*c_1001_8^2 - 6*c_1001_8 - 4, c_0101_11 - 4*c_1001_8^4 + 2*c_1001_8^3 + 8*c_1001_8^2 + 6*c_1001_8, c_0101_4 - 4*c_1001_8^4 + 4*c_1001_8^3 + 6*c_1001_8^2 + 2*c_1001_8 - 1, c_0101_7 - 4*c_1001_8^4 + 4*c_1001_8^3 + 6*c_1001_8^2 + 2*c_1001_8 - 1, c_1001_0 - 1, c_1001_1 + c_1001_8^4 - 2*c_1001_8^3 + 1/2*c_1001_8 + 1/2, c_1001_2 + c_1001_8^4 - 2*c_1001_8^3 + 1/2*c_1001_8 + 1/2, c_1001_8^5 - c_1001_8^4 - 2*c_1001_8^3 - 1/2*c_1001_8^2 + c_1001_8 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.250 Total time: 1.449 seconds, Total memory usage: 32.09MB