Magma V2.19-8 Wed Aug 21 2013 01:07:44 on localhost [Seed = 1613134144] Type ? for help. Type -D to quit. Loading file "L14n33815__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33815 geometric_solution 11.76248249 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551152162560 1.423673566970 0 5 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520948748068 0.788268392456 6 0 8 4 1023 0132 0132 2310 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 -1 1 0 0 0 -1 1 0 0 0 0 8 -1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551152162560 1.423673566970 9 9 10 0 0132 1302 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -8 8 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401368714742 0.565259362677 2 11 0 10 3201 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 0 1 -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 -0.688482087594 1.051894187232 9 1 8 8 1230 0132 1302 0321 1 0 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 1 -1 -1 0 0 1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401368714742 0.565259362677 9 2 1 12 2103 1023 0132 0132 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 0 0 0 0 -1 0 0 1 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520948748068 0.788268392456 12 11 10 1 1302 0321 3012 0132 1 1 1 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 -1 0 1 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 0.275576081280 0.711836783485 5 5 11 2 2031 0321 3201 0132 1 1 1 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 1 0 -1 -1 0 0 1 -7 0 0 7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401368714742 0.565259362677 3 5 6 3 0132 3012 2103 2031 1 1 0 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 7 1 -8 0 0 0 0 -1 1 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883096473646 0.833866458651 12 7 4 3 0321 1230 0132 0132 1 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 -1 1 0 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.297699679343 0.690097591173 8 4 12 7 2310 0132 1230 0321 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 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 -0.297699679343 0.690097591173 10 7 6 11 0321 2031 0132 3012 1 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 0 0 0 4 -3 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275576081280 0.711836783485 ==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_1']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0011_12']), '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'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0101_11' : negation(d['c_0011_7']), '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_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : negation(d['c_0011_11']), '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' : negation(d['c_1001_10']), '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_3']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_0011_7']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_10']), 's_2_9' : 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_11, c_0011_12, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 573451/2112*c_1100_0^3 - 834511/1056*c_1100_0^2 - 2534783/704*c_1100_0 - 6414835/2112, c_0011_0 - 1, c_0011_10 - 1/11*c_1100_0^3 + 8/11*c_1100_0^2 - 5/11*c_1100_0 - 9/11, c_0011_11 - c_1100_0, c_0011_12 - 3/11*c_1100_0^3 + 13/11*c_1100_0^2 + 18/11*c_1100_0 - 5/11, c_0011_3 - 1, c_0011_7 + 3/11*c_1100_0^3 - 13/11*c_1100_0^2 - 18/11*c_1100_0 + 5/11, c_0101_0 - 3/11*c_1100_0^3 + 13/11*c_1100_0^2 + 18/11*c_1100_0 + 6/11, c_0101_1 + 3/11*c_1100_0^3 - 13/11*c_1100_0^2 - 29/11*c_1100_0 - 6/11, c_0101_10 - 1, c_0101_2 + 3/11*c_1100_0^3 - 13/11*c_1100_0^2 - 18/11*c_1100_0 - 6/11, c_1001_1 - 1, c_1001_10 + 5/11*c_1100_0^3 - 18/11*c_1100_0^2 - 41/11*c_1100_0 - 10/11, c_1100_0^4 - 3*c_1100_0^3 - 13*c_1100_0^2 - 10*c_1100_0 + 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_12, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 55/16*c_1100_0^3 - 987/16, c_0011_0 - 1, c_0011_10 + 1/8*c_1100_0^3 - 5/8, c_0011_11 + 1/8*c_1100_0^3 + c_1100_0 + 3/8, c_0011_12 - 1/4*c_1100_0^3 - c_1100_0^2 - 2*c_1100_0 - 3/4, c_0011_3 - 1, c_0011_7 - 3/8*c_1100_0^3 - c_1100_0^2 - 2*c_1100_0 - 1/8, c_0101_0 - 3/8*c_1100_0^3 - c_1100_0^2 - 3*c_1100_0 - 1/8, c_0101_1 + 1/8*c_1100_0^3 - 5/8, c_0101_10 + 1/8*c_1100_0^3 + c_1100_0 - 5/8, c_0101_2 - 3/8*c_1100_0^3 - c_1100_0^2 - 3*c_1100_0 - 9/8, c_1001_1 - c_1100_0 - 1, c_1001_10 - 1, c_1100_0^4 + 3*c_1100_0^3 + 8*c_1100_0^2 + 3*c_1100_0 + 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_12, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 190120*c_1100_0^4 + 246656*c_1100_0^3 + 310998*c_1100_0^2 + 377662*c_1100_0 + 159833, c_0011_0 - 1, c_0011_10 - 6*c_1100_0^4 - c_1100_0^3 - 6*c_1100_0^2 - 3*c_1100_0 + 2, c_0011_11 - c_1100_0, c_0011_12 + 3*c_1100_0^4 + 1/2*c_1100_0^3 + 3*c_1100_0^2 + 5/2*c_1100_0 - 1/2, c_0011_3 - 1, c_0011_7 - 3*c_1100_0^4 - 1/2*c_1100_0^3 - 3*c_1100_0^2 - 5/2*c_1100_0 + 1/2, c_0101_0 + 5/2*c_1100_0^4 + 3/4*c_1100_0^3 + 2*c_1100_0^2 + 9/4*c_1100_0 - 3/4, c_0101_1 - 1/2*c_1100_0^4 + 1/4*c_1100_0^3 - c_1100_0^2 - 1/4*c_1100_0 + 3/4, c_0101_10 + 1/2*c_1100_0^4 - 1/4*c_1100_0^3 + c_1100_0^2 + 1/4*c_1100_0 + 1/4, c_0101_2 - 5/2*c_1100_0^4 - 3/4*c_1100_0^3 - 2*c_1100_0^2 - 9/4*c_1100_0 + 3/4, c_1001_1 + 1/2*c_1100_0^4 - 1/4*c_1100_0^3 + c_1100_0^2 + 1/4*c_1100_0 + 1/4, c_1001_10 + 5/2*c_1100_0^4 + 3/4*c_1100_0^3 + 2*c_1100_0^2 + 9/4*c_1100_0 - 3/4, c_1100_0^5 + c_1100_0^4 + 5/4*c_1100_0^3 + 3/2*c_1100_0^2 + 1/4*c_1100_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB