Magma V2.19-8 Tue Aug 20 2013 18:08:42 on localhost [Seed = 1494803427] Type ? for help. Type -D to quit. Loading file "10^2_143__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_143 geometric_solution 14.79512008 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 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 1 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267786863643 0.642259237022 0 4 0 5 0132 0132 3012 0132 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 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 0.446957578216 1.326415340259 6 7 8 0 0132 0132 0132 0132 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 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 0.597722917194 1.262772340100 9 9 0 7 0132 1302 0132 1023 1 1 1 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 1 -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 0.696948354775 0.924666641726 10 1 7 10 0132 0132 2103 2031 1 1 0 1 0 -1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320063433437 0.976572755166 8 6 1 7 2103 2103 0132 3012 1 1 1 1 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 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 0.229032288251 0.718946345580 2 5 11 12 0132 2103 0132 0132 1 1 1 1 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 1 0 -1 -1 0 0 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348736062091 0.625053572013 4 2 5 3 2103 0132 1230 1023 1 1 1 1 0 0 0 0 -1 0 1 0 -1 0 0 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 -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 0.577439910486 0.675107255583 13 14 5 2 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348736062091 0.625053572013 3 12 10 3 0132 3120 2031 2031 1 1 0 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 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 0.320063433437 0.976572755166 4 4 14 9 0132 1302 0321 1302 1 1 1 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 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 0.696948354775 0.924666641726 13 14 14 6 3120 0321 3201 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 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 0.598500904120 1.019273214463 13 9 6 13 2103 3120 0132 3201 1 1 0 1 0 0 -1 1 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 0 1 -1 0 0 -1 1 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598500904120 1.019273214463 8 12 12 11 0132 2310 2103 3120 0 1 1 1 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 -2 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 0.598500904120 1.019273214463 11 8 10 11 2310 0132 0321 0321 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 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 0.598500904120 1.019273214463 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0101_9'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0011_12'], 'c_1001_12' : d['c_0101_4'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_5'], '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_0101_9'], 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : d['c_0011_5'], 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0110_7'], 'c_1010_14' : d['c_0011_5'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : d['c_0101_12'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : negation(d['c_0101_10']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_13'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : negation(d['c_0011_13']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 'c_1100_14' : d['c_0101_10'], 'c_1100_9' : negation(d['c_0110_7']), 'c_1100_11' : negation(d['c_0011_13']), 'c_1100_10' : d['c_0101_9'], 'c_1100_13' : negation(d['c_0011_11']), 's_3_10' : d['1'], 's_3_13' : negation(d['1']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_4']), 's_0_13' : negation(d['1']), 'c_1010_3' : d['c_0110_7'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : negation(d['c_0110_5']), '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' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_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_3_11' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), '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_12']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0110_13' : d['c_0101_0'], 'c_0110_12' : d['c_0011_11'], 'c_0110_14' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_0']), 'c_0101_12' : d['c_0101_12'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], '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_0101_0'], 's_2_8' : d['1'], '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_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_12']})} 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_11, c_0011_12, c_0011_13, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_4, c_0101_9, c_0110_5, c_0110_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 143/882*c_1001_0^3 - 23/126*c_1001_0^2 + 425/294*c_1001_0 - 5/147, c_0011_0 - 1, c_0011_11 + 4/9*c_1001_0^3 - c_1001_0^2 + 14/3*c_1001_0 - 5, c_0011_12 - 5/9*c_1001_0^3 + c_1001_0^2 - 16/3*c_1001_0 + 4, c_0011_13 + 4/9*c_1001_0^3 - 2/3*c_1001_0^2 + 14/3*c_1001_0 - 4, c_0011_2 + c_1001_0 - 1, c_0011_5 - 1/9*c_1001_0^3 - 5/3*c_1001_0 + 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 5/9*c_1001_0^3 + c_1001_0^2 - 16/3*c_1001_0 + 4, c_0101_12 + 1/9*c_1001_0^3 + 5/3*c_1001_0 - 1, c_0101_4 - 1/3*c_1001_0^3 + 2/3*c_1001_0^2 - 3*c_1001_0 + 2, c_0101_9 - 1/3*c_1001_0^3 + 2/3*c_1001_0^2 - 3*c_1001_0 + 2, c_0110_5 - c_1001_0 + 1, c_0110_7 - 4/9*c_1001_0^3 + c_1001_0^2 - 11/3*c_1001_0 + 3, c_1001_0^4 - 3*c_1001_0^3 + 12*c_1001_0^2 - 18*c_1001_0 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.510 Total time: 1.730 seconds, Total memory usage: 64.12MB