Magma V2.19-8 Wed Aug 21 2013 01:07:25 on localhost [Seed = 1091000396] Type ? for help. Type -D to quit. Loading file "L14n33289__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33289 geometric_solution 11.57301393 oriented_manifold CS_known 0.0000000000000000 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 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 -3 -1 4 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 0.900329358953 0.848155873749 0 5 7 6 0132 0132 0132 0132 0 1 1 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 -3 2 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 0.366147527762 0.452309690422 8 0 8 9 0132 0132 3120 0132 1 0 1 1 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 3 -3 0 0 0 1 -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 0.223339982074 1.027575299497 6 4 7 0 0132 2310 3201 0132 1 1 1 1 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 0 -3 0 3 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811696368923 0.359216458835 9 10 0 3 1302 0132 0132 3201 1 1 1 1 0 0 1 -1 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 -4 4 -3 0 0 3 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732880193652 0.349435140906 10 1 7 11 2310 0132 0321 0132 0 1 1 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 3 -2 -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 0.520508611520 0.904715175632 3 9 1 9 0132 1302 0132 1230 0 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 -1 1 0 0 -1 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992891946718 0.715907752077 3 11 5 1 2310 0132 0321 0132 0 1 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 0 0 0 0 0 0 2 -2 -1 0 0 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 1.108493681371 0.794859977623 2 10 2 11 0132 2310 3120 1023 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 -1 0 1 0 0 -1 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.223339982074 1.027575299497 6 4 2 6 3012 2031 0132 2031 1 0 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337346795756 0.477794756443 12 4 5 8 0132 0132 3201 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 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 0.771498988176 0.923922429988 12 7 5 8 1023 0132 0132 1023 0 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 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 0.680201822805 0.340108759157 10 11 12 12 0132 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689346424024 0.465859584517 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0110_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0110_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : negation(d['c_1001_2']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_1001_2'], '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' : negation(d['1']), 'c_0101_11' : negation(d['c_0101_10']), '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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_2']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_0110_9'], 'c_1100_6' : d['c_0110_9'], 'c_1100_1' : d['c_0110_9'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : negation(d['c_0011_0']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0110_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_12']), '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'], 'c_1100_12' : d['c_0101_12'], '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' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0011_9'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : 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_9, c_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_5, c_0101_8, c_0110_4, c_0110_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 40/7*c_1001_2^7 + 198/7*c_1001_2^6 - 141/7*c_1001_2^5 - 557/7*c_1001_2^4 + 548/7*c_1001_2^3 + 722/7*c_1001_2^2 - 477/7*c_1001_2 - 449/7, c_0011_0 - 1, c_0011_10 + c_1001_2^6 - 4*c_1001_2^5 + 3*c_1001_2^4 + 5*c_1001_2^3 - 6*c_1001_2^2 - 2*c_1001_2 + 3, c_0011_9 - c_1001_2^3 + 2*c_1001_2^2 - 2, c_0101_0 + c_1001_2^6 - 4*c_1001_2^5 + 3*c_1001_2^4 + 6*c_1001_2^3 - 8*c_1001_2^2 - 2*c_1001_2 + 5, c_0101_10 - c_1001_2^7 + 6*c_1001_2^6 - 10*c_1001_2^5 - 3*c_1001_2^4 + 20*c_1001_2^3 - 9*c_1001_2^2 - 10*c_1001_2 + 7, c_0101_12 - c_1001_2^7 + 6*c_1001_2^6 - 11*c_1001_2^5 + 20*c_1001_2^3 - 14*c_1001_2^2 - 9*c_1001_2 + 10, c_0101_2 + c_1001_2^7 - 4*c_1001_2^6 + 2*c_1001_2^5 + 8*c_1001_2^4 - 7*c_1001_2^3 - 5*c_1001_2^2 + 6*c_1001_2 + 1, c_0101_5 + 1, c_0101_8 - c_1001_2^7 + 3*c_1001_2^6 + 3*c_1001_2^5 - 13*c_1001_2^4 - c_1001_2^3 + 17*c_1001_2^2 - 2*c_1001_2 - 9, c_0110_4 + c_1001_2^6 - 4*c_1001_2^5 + 3*c_1001_2^4 + 6*c_1001_2^3 - 8*c_1001_2^2 - 2*c_1001_2 + 5, c_0110_9 + c_1001_2^7 - 3*c_1001_2^6 - 3*c_1001_2^5 + 13*c_1001_2^4 + c_1001_2^3 - 17*c_1001_2^2 + 2*c_1001_2 + 9, c_1001_1 - 1, c_1001_2^8 - 5*c_1001_2^7 + 5*c_1001_2^6 + 10*c_1001_2^5 - 17*c_1001_2^4 - 6*c_1001_2^3 + 18*c_1001_2^2 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.790 Total time: 1.010 seconds, Total memory usage: 32.09MB