Magma V2.19-8 Tue Aug 20 2013 18:07:49 on localhost [Seed = 2311598959] Type ? for help. Type -D to quit. Loading file "10^2_141__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_141 geometric_solution 13.63125713 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 3 0132 0132 0132 0321 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 1 0 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486483126515 1.518019493160 0 4 6 5 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 1 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 -0.322067151801 0.920620747682 4 0 5 7 0132 0132 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.237191926690 0.982614771392 4 0 8 0 3120 0321 0132 0132 0 0 0 0 0 0 0 0 -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 -1 0 -5 0 0 5 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808550278316 0.597398745478 2 1 9 3 0132 0132 0132 3120 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 1 4 -5 0 0 -5 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165580913561 0.614375975632 2 10 1 9 2103 0132 0132 2310 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 0 0 -1 -4 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820996114200 0.638337239257 11 12 13 1 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 1 -1 -4 0 4 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072628105037 1.390457696865 10 10 2 14 2310 3012 0132 0132 0 0 1 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 0 0 0 0 0 0 0 4 0 0 -4 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544367177221 1.694908136832 14 12 11 3 1023 3012 3012 0132 0 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 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 0.331987829787 0.497766899882 5 13 14 4 3201 3201 2031 0132 0 0 0 0 0 1 0 -1 -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 4 0 -4 -5 0 0 5 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229171260907 0.773175003973 7 5 7 13 1230 0132 3201 3201 0 1 0 0 0 0 0 0 -1 0 1 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 -3 0 2 1 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828223817263 0.534831749633 6 8 12 14 0132 1230 1023 1230 0 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 0 0 0 0 0 0 0 0 4 0 -4 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 -0.037463286631 0.717230818839 8 6 11 13 1230 0132 1023 3120 0 0 1 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 -4 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 -0.037463286631 0.717230818839 12 10 9 6 3120 2310 2310 0132 0 0 1 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 1 0 -1 0 0 4 -4 0 -1 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536314052518 0.695228848433 11 8 7 9 3012 1023 0132 1302 0 0 0 1 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 -4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304369900087 0.901751708773 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0101_10']), 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_1001_13']), 'c_1001_4' : negation(d['c_1001_13']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_13']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0101_12']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_13']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_13' : negation(d['c_0011_13']), 'c_1010_12' : negation(d['c_0011_13']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_1001_13']), 'c_1010_14' : d['c_0101_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : negation(d['c_0101_10']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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_13' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : d['c_0101_9'], 'c_1100_14' : d['c_0101_9'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_11' : d['c_0101_13'], 'c_1100_10' : negation(d['c_0011_13']), 'c_1100_13' : d['c_0011_9'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : negation(d['c_1001_13']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_1001_13']), 'c_1010_8' : negation(d['c_0101_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_13']), '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_9'], 'c_0011_8' : d['c_0011_14'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_13'], 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0011_14'], 'c_0110_10' : d['c_0011_13'], 'c_0110_13' : d['c_0011_14'], 'c_0110_12' : d['c_0011_14'], 'c_0110_14' : d['c_0101_13'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0011_14'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : negation(d['c_0011_3']), 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_3, c_0011_9, c_0101_0, c_0101_10, c_0101_12, c_0101_13, c_0101_3, c_0101_4, c_0101_9, c_1001_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 1049759/24332*c_1001_13^4 - 67405/308*c_1001_13^3 + 10880073/24332*c_1001_13^2 - 66693/158*c_1001_13 + 4171983/24332, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_13^4 + 2*c_1001_13^3 - 3/2*c_1001_13^2 - 3/2*c_1001_13 + 2, c_0011_11 + 1, c_0011_13 - 1/2*c_1001_13^4 + 2*c_1001_13^3 - 3/2*c_1001_13^2 - 5/2*c_1001_13 + 3, c_0011_14 + c_1001_13^3 - 2*c_1001_13^2 - c_1001_13 + 3, c_0011_3 + c_1001_13^4 - 2*c_1001_13^3 + 2*c_1001_13 - 1, c_0011_9 - 3/2*c_1001_13^4 + 4*c_1001_13^3 - 3/2*c_1001_13^2 - 7/2*c_1001_13 + 4, c_0101_0 + 1/2*c_1001_13^4 - c_1001_13^3 - 1/2*c_1001_13^2 + 1/2*c_1001_13, c_0101_10 - 1/2*c_1001_13^4 + 2*c_1001_13^3 - 3/2*c_1001_13^2 - 5/2*c_1001_13 + 3, c_0101_12 - c_1001_13^4 + 2*c_1001_13^3 - 2*c_1001_13 + 1, c_0101_13 + 5/2*c_1001_13^4 - 6*c_1001_13^3 + 5/2*c_1001_13^2 + 13/2*c_1001_13 - 6, c_0101_3 + 3/2*c_1001_13^4 - 4*c_1001_13^3 + 3/2*c_1001_13^2 + 7/2*c_1001_13 - 4, c_0101_4 + 1/2*c_1001_13^4 - 2*c_1001_13^3 + 3/2*c_1001_13^2 + 1/2*c_1001_13 - 2, c_0101_9 + c_1001_13, c_1001_13^5 - 4*c_1001_13^4 + 5*c_1001_13^3 + c_1001_13^2 - 6*c_1001_13 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.620 Total time: 7.830 seconds, Total memory usage: 194.53MB