Magma V2.19-8 Tue Aug 20 2013 23:41:02 on localhost [Seed = 1562065343] Type ? for help. Type -D to quit. Loading file "L11n86__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n86 geometric_solution 10.92939669 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1230 0132 0132 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 0 0 0 0 0 0 0 1 -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 0.442611476409 0.844977542510 0 4 0 5 0132 0132 3012 0132 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 0 -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 0.513556012410 0.928656998542 4 6 7 0 2103 0132 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 1 0 -1 1 0 -1 0 0 0 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479914290946 0.757607957683 4 4 0 5 0132 1302 0132 1230 1 1 1 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 -1 1 0 0 0 0 0 12 -1 0 -11 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442611476409 0.844977542510 3 1 2 3 0132 0132 2103 2031 1 1 0 1 0 0 0 0 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 -1 0 1 0 0 -1 1 -1 1 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543969336640 0.824634619877 3 8 1 9 3012 0132 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 1 -1 0 0 0 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615880382906 0.897151894290 8 2 10 9 3120 0132 0132 0321 1 1 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 0 0 0 -1 0 1 0 0 0 0 11 -12 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498011261127 1.253797310549 8 10 9 2 0321 2031 1302 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 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628309906934 0.794458248489 7 5 10 6 0321 0132 0321 3120 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 11 0 -11 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387574719296 0.774373140498 7 6 5 10 2031 0321 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726370883684 0.688890948669 7 9 8 6 1302 1302 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 -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 -0.025931896687 0.856533342792 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_7']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_0']), 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : d['c_0101_9'], 'c_1100_10' : d['c_1001_8'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_8'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : d['c_0011_7'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_6']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_6, c_0101_9, c_1001_0, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 41984/121*c_1001_8^4 + 2560/11*c_1001_8^3 - 256/11*c_1001_8^2 + 28416/121*c_1001_8 + 7488/121, c_0011_0 - 1, c_0011_10 - c_1001_8, c_0011_2 - 4*c_1001_8^4 + 2*c_1001_8^3 + 3*c_1001_8^2 + c_1001_8 + 3/4, c_0011_5 - 4*c_1001_8^4 + 2*c_1001_8^3 + 3*c_1001_8^2 + c_1001_8 - 1/4, c_0011_7 - 4*c_1001_8^4 + 6*c_1001_8^3 - c_1001_8^2 + c_1001_8 - 3/4, c_0101_0 - 1, c_0101_1 - 1, c_0101_6 - 4*c_1001_8^4 + 2*c_1001_8^3 + c_1001_8^2 + 2*c_1001_8 + 1/4, c_0101_9 - 4*c_1001_8^4 + 2*c_1001_8^3 + 3*c_1001_8^2 + c_1001_8 + 3/4, c_1001_0 + 4*c_1001_8^4 - 2*c_1001_8^3 - 3*c_1001_8^2 - c_1001_8 + 1/4, c_1001_8^5 - c_1001_8^4 - 3/8*c_1001_8^2 + 1/16*c_1001_8 - 1/32 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_6, c_0101_9, c_1001_0, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 48855/4*c_1001_8^6 - 33347/2*c_1001_8^5 + 18254*c_1001_8^4 + 942681/32*c_1001_8^3 + 258163/64*c_1001_8^2 - 324583/128*c_1001_8 - 121407/128, c_0011_0 - 1, c_0011_10 - c_1001_8, c_0011_2 - 8*c_1001_8^5 - 4*c_1001_8^4 + 14*c_1001_8^3 + 8*c_1001_8^2 - 3/2*c_1001_8 - 3/2, c_0011_5 + 8*c_1001_8^5 + 4*c_1001_8^4 - 14*c_1001_8^3 - 8*c_1001_8^2 + 3/2*c_1001_8 + 1/2, c_0011_7 - 12*c_1001_8^6 - 16*c_1001_8^5 + 20*c_1001_8^4 + 57/2*c_1001_8^3 - 1/4*c_1001_8^2 - 23/8*c_1001_8 - 3/8, c_0101_0 - 1, c_0101_1 + 1, c_0101_6 - 8*c_1001_8^6 - 8*c_1001_8^5 + 12*c_1001_8^4 + 13*c_1001_8^3 + 5/2*c_1001_8^2 + 1/4*c_1001_8 - 3/4, c_0101_9 - 8*c_1001_8^5 - 4*c_1001_8^4 + 14*c_1001_8^3 + 8*c_1001_8^2 - 3/2*c_1001_8 - 3/2, c_1001_0 - 8*c_1001_8^5 - 4*c_1001_8^4 + 14*c_1001_8^3 + 8*c_1001_8^2 - 3/2*c_1001_8 - 1/2, c_1001_8^7 + c_1001_8^6 - 2*c_1001_8^5 - 15/8*c_1001_8^4 + 9/16*c_1001_8^3 + 11/32*c_1001_8^2 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB