Magma V2.19-8 Tue Aug 20 2013 17:58:00 on localhost [Seed = 2934905572] Type ? for help. Type -D to quit. Loading file "10_166__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_166 geometric_solution 11.60308465 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 0 1 1 0 -1 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 0.681037466504 0.737263416674 0 5 6 2 0132 0132 0132 3012 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 -1 0 1 -1 0 0 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.311146847676 0.975593639524 7 0 1 8 0132 0132 1230 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 -1 0 1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.306485239690 1.461313078687 9 6 5 0 0132 1230 1230 0132 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 -1 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 0.323944639877 0.731869991271 8 10 0 9 3012 0132 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 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 0.427032696393 1.081300927013 11 1 10 3 0132 0132 2031 3012 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 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 0.834313277071 0.762203929504 8 11 3 1 1023 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441820247791 0.470318814473 2 8 12 10 0132 1023 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.511726708366 0.921845608309 7 6 2 4 1023 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380817451971 0.372214592634 3 12 4 11 0132 1023 0132 1302 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 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 0.301689447388 0.806569024362 7 4 12 5 3120 0132 0321 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.377618449413 0.542992805189 5 6 9 12 0132 0132 2031 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634458577080 0.417748504344 9 11 10 7 1023 1302 0321 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093223453341 0.705903200674 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_12' : d['c_0101_5'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_6'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : 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' : d['c_0101_11'], '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_11'], 'c_1100_8' : d['c_0101_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0101_5'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_1'], '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_0101_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' : d['c_0011_12'], '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_0'], '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' : negation(d['c_0011_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0101_7'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0101_7'], '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_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1'], '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_12, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_6, c_0101_7, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 98377/6080*c_1001_2^5 + 38481/1216*c_1001_2^4 + 2643/304*c_1001_2^3 + 4349/6080*c_1001_2^2 + 113573/3040*c_1001_2 - 145391/6080, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_2^5 + 5/2*c_1001_2^4 + 4*c_1001_2^3 + 5/2*c_1001_2^2 + 2*c_1001_2 + 3/2, c_0011_12 - 1/2*c_1001_2^5 - 1/2*c_1001_2^4 + c_1001_2^3 + 1/2*c_1001_2^2 - c_1001_2 + 1/2, c_0101_0 + 1/2*c_1001_2^5 + 1/2*c_1001_2^4 - c_1001_2^3 - 3/2*c_1001_2^2 - 3/2, c_0101_1 + 3/2*c_1001_2^5 + 7/2*c_1001_2^4 + 2*c_1001_2^3 + 1/2*c_1001_2^2 + 3*c_1001_2 - 1/2, c_0101_10 + c_1001_2^5 + 3*c_1001_2^4 + 3*c_1001_2^3 + c_1001_2^2 + 2*c_1001_2, c_0101_11 + c_1001_2^5 + 2*c_1001_2^4 - c_1001_2^2 + 2*c_1001_2 - 1, c_0101_2 + c_1001_2^5 + c_1001_2^4 - 2*c_1001_2^3 - 2*c_1001_2^2 + c_1001_2 - 2, c_0101_3 + c_1001_2^5 + 2*c_1001_2^4 - c_1001_2^2 + 2*c_1001_2 - 1, c_0101_5 - c_1001_2^4 - 3*c_1001_2^3 - 2*c_1001_2^2 - c_1001_2 - 1, c_0101_6 + 1, c_0101_7 - 1/2*c_1001_2^5 - 3/2*c_1001_2^4 - c_1001_2^3 + 1/2*c_1001_2^2 - c_1001_2 - 1/2, c_1001_2^6 + 2*c_1001_2^5 + c_1001_2^4 + c_1001_2^3 + 3*c_1001_2^2 - c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.680 Total time: 3.890 seconds, Total memory usage: 122.28MB