Magma V2.19-8 Tue Aug 20 2013 18:52:56 on localhost [Seed = 1915999074] Type ? for help. Type -D to quit. Loading file "11_163__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_163 geometric_solution 13.75907055 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 15 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 -1 1 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 1 0 0 -1 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168043376481 0.541086188784 0 5 2 5 0132 0132 1023 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 1 -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 0.202105439308 0.813744938676 3 0 1 6 0321 0132 1023 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 1 -1 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.587144483948 1.100023513410 2 6 7 0 0321 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 0 8 -1 0 -7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709630593880 1.364583145708 8 8 0 9 0132 1302 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563984222767 0.677646538252 1 1 10 7 3012 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614324291984 0.626527999983 11 3 2 12 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 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 0.503458211121 0.502547436487 5 13 12 3 3201 0132 2031 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 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 0.593529204917 1.139308978548 4 14 11 4 0132 0132 3012 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.671501587602 1.043633625271 11 14 4 12 3012 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.869503760797 0.716178269267 14 14 13 5 0132 1230 2031 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 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 0.614324291984 0.626527999983 6 8 13 9 0132 1230 0321 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.815251193808 0.807576927966 13 9 6 7 0321 1302 0132 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 0.666395672722 1.060580555655 12 7 11 10 0321 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 0.640351127720 0.690363988695 10 8 10 9 0132 0132 3012 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202105439308 0.813744938676 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_14' : negation(d['c_0011_10']), 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : d['c_0110_9'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : d['c_0101_14'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0011_13'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_9'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_13' : d['c_0011_13'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0101_14'], 'c_1010_14' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_0011_14' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_13']), 'c_1100_4' : negation(d['c_1010_12']), 'c_1100_7' : negation(d['c_1010_12']), 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_1010_12']), 'c_1100_3' : negation(d['c_1010_12']), 'c_1100_2' : d['c_0101_7'], 'c_1100_14' : negation(d['c_0011_12']), 'c_1100_9' : negation(d['c_1010_12']), 'c_1100_11' : d['c_0110_9'], 'c_1100_10' : negation(d['c_0011_13']), 'c_1100_13' : d['c_0101_10'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_14'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_10']), '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' : d['c_0101_7'], '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_3_11' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_14'], 'c_0110_13' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_13']), 'c_0110_14' : d['c_0101_10'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_11'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_14'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0101_7']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0101_2']), 'c_1100_8' : negation(d['c_0101_10']), 'c_0101_13' : negation(d['c_0101_11'])})} 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_12, c_0011_13, c_0101_1, c_0101_10, c_0101_11, c_0101_14, c_0101_2, c_0101_7, c_0101_8, c_0110_9, c_1001_0, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/2*c_1001_0*c_1010_12 + 1/2*c_1001_0 - 1/2*c_1010_12 - 1/2, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + c_1001_0*c_1010_12, c_0011_12 + c_1001_0*c_1010_12 - c_1010_12 - 1, c_0011_13 + c_1001_0*c_1010_12 - c_1010_12, c_0101_1 + c_1001_0*c_1010_12, c_0101_10 + c_1001_0*c_1010_12 - 1, c_0101_11 - c_1010_12, c_0101_14 - c_1001_0 + 1, c_0101_2 - c_1001_0*c_1010_12 - 1, c_0101_7 + c_1001_0*c_1010_12 - c_1010_12 + 1, c_0101_8 + c_1001_0*c_1010_12 - c_1001_0, c_0110_9 + c_1001_0*c_1010_12 - c_1010_12, c_1001_0^2 - c_1001_0 + 1, c_1010_12^2 + 1 ], 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_12, c_0011_13, c_0101_1, c_0101_10, c_0101_11, c_0101_14, c_0101_2, c_0101_7, c_0101_8, c_0110_9, c_1001_0, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2*c_1001_0*c_1010_12 - 1/2*c_1001_0 + 3/2*c_1010_12 - 3/2, c_0011_0 - 1, c_0011_10 - c_1001_0, c_0011_11 - c_1010_12, c_0011_12 + c_1001_0*c_1010_12 - c_1001_0 - c_1010_12 + 1, c_0011_13 + c_1001_0*c_1010_12 - c_1010_12, c_0101_1 + c_1001_0*c_1010_12, c_0101_10 - c_1001_0 - c_1010_12 + 1, c_0101_11 + c_1001_0*c_1010_12, c_0101_14 - c_1001_0 + 1, c_0101_2 - c_1001_0*c_1010_12 - c_1001_0 + 1, c_0101_7 + c_1001_0*c_1010_12 + c_1001_0 - c_1010_12 - 1, c_0101_8 - c_1001_0 - c_1010_12, c_0110_9 + c_1001_0*c_1010_12 - c_1010_12, c_1001_0^2 - c_1001_0 + 1, c_1010_12^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 181.910 Total time: 182.120 seconds, Total memory usage: 937.06MB