Magma V2.19-8 Tue Aug 20 2013 17:56:37 on localhost [Seed = 1528491892] Type ? for help. Type -D to quit. Loading file "9^2_31__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_31 geometric_solution 10.21560566 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 1 0 -1 1 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 -8 9 -1 -1 0 1 0 -9 0 0 9 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969251317711 0.565904770194 0 3 6 5 0132 3120 0132 0132 0 0 1 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 1 -1 0 1 0 -1 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.928806309609 0.833073786806 7 0 8 5 0132 0132 0132 2031 0 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 0 0 0 0 0 0 0 0 8 0 -8 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 0.781328438888 0.679806522214 7 1 8 0 2031 3120 0321 0132 0 0 1 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 9 0 -9 0 0 1 -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 0.500000000000 0.500000000000 9 10 0 7 0132 0132 0132 1023 0 0 0 0 0 0 0 0 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 0 1 -1 9 0 0 -9 0 1 0 -1 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818029775786 0.487405198106 7 2 1 6 1023 1302 0132 0321 0 0 0 1 0 0 0 0 1 0 0 -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 9 0 0 -9 1 8 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581706428681 0.452396594283 9 5 10 1 2031 0321 1302 0132 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 -1 1 -9 9 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806693095032 1.070312175810 2 5 3 4 0132 1023 1302 1023 0 0 0 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 -9 0 9 0 0 -1 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 0.818888716124 0.452675334690 10 10 3 2 2031 0321 0321 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633786618565 0.728435949186 4 9 6 9 0132 1302 1302 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 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 -9 0 9 -9 0 0 9 0 -9 0 9 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454266071701 1.130991485707 6 4 8 8 2031 0132 1302 0321 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 9 -9 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633786618565 0.728435949186 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0101_3']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_10'], 'c_0011_8' : d['c_0011_8'], '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_6'], '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_10' : negation(d['c_0011_8']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], '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' : negation(d['c_0011_6']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 243/728*c_1001_2^3 - 7047/728*c_1001_2^2 - 1377/104*c_1001_2 - 7695/728, c_0011_0 - 1, c_0011_10 - 3/2*c_1001_2^3 - 3*c_1001_2^2 - 5/2*c_1001_2 - 1, c_0011_3 + 9/2*c_1001_2^3 + 15/2*c_1001_2^2 + 15/2*c_1001_2 + 3/2, c_0011_6 - 6*c_1001_2^3 - 12*c_1001_2^2 - 10*c_1001_2 - 1, c_0011_8 - 3/2*c_1001_2^3 - 3/2*c_1001_2^2 - 1/2*c_1001_2 + 1/2, c_0101_0 - 1, c_0101_1 - 1, c_0101_2 - 3/2*c_1001_2^3 - 9/2*c_1001_2^2 - 11/2*c_1001_2 - 3/2, c_0101_3 - c_1001_2 - 1, c_1001_1 + 3*c_1001_2^3 + 6*c_1001_2^2 + 7*c_1001_2 + 2, c_1001_2^4 + 2*c_1001_2^3 + 2*c_1001_2^2 + 2/3*c_1001_2 + 1/9 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 5691996/42775*c_1001_2^5 + 14763007/42775*c_1001_2^4 - 149619679/342200*c_1001_2^3 + 21961883/68440*c_1001_2^2 - 55259451/342200*c_1001_2 + 8076831/342200, c_0011_0 - 1, c_0011_10 + 3056/59*c_1001_2^5 - 8556/59*c_1001_2^4 + 22799/118*c_1001_2^3 - 8934/59*c_1001_2^2 + 9429/118*c_1001_2 - 984/59, c_0011_3 - 4688/59*c_1001_2^5 + 13140/59*c_1001_2^4 - 35565/118*c_1001_2^3 + 28355/118*c_1001_2^2 - 15291/118*c_1001_2 + 3419/118, c_0011_6 + 5184/59*c_1001_2^5 - 14672/59*c_1001_2^4 + 19970/59*c_1001_2^3 - 16104/59*c_1001_2^2 + 8630/59*c_1001_2 - 1895/59, c_0011_8 + 2096/59*c_1001_2^5 - 5804/59*c_1001_2^4 + 15595/118*c_1001_2^3 - 12251/118*c_1001_2^2 + 6425/118*c_1001_2 - 1347/118, c_0101_0 + 1, c_0101_1 - 1, c_0101_2 - 496/59*c_1001_2^5 + 1532/59*c_1001_2^4 - 4375/118*c_1001_2^3 + 3853/118*c_1001_2^2 - 2323/118*c_1001_2 + 607/118, c_0101_3 + c_1001_2 - 1, c_1001_1 + 2592/59*c_1001_2^5 - 7336/59*c_1001_2^4 + 9985/59*c_1001_2^3 - 8052/59*c_1001_2^2 + 4433/59*c_1001_2 - 1036/59, c_1001_2^6 - 13/4*c_1001_2^5 + 161/32*c_1001_2^4 - 75/16*c_1001_2^3 + 47/16*c_1001_2^2 - 17/16*c_1001_2 + 5/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB