Magma V2.19-8 Tue Aug 20 2013 23:38:16 on localhost [Seed = 324368191] Type ? for help. Type -D to quit. Loading file "K12n340__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n340 geometric_solution 9.32745811 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 1 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 0 0 0 0.422685915805 0.893420152251 0 5 2 6 0132 0132 2031 0132 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 0 0 0 0 1 0 -1 0 0 0 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 0.390834486073 0.966512291767 6 0 7 1 1302 0132 0132 1302 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 -1 1 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 0.958137233100 1.881093145246 5 6 8 0 0132 1302 0132 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 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 0.637820361572 0.702956113345 7 5 0 9 0213 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.264922595291 0.531012428262 3 1 9 4 0132 0132 0213 0321 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 -1 0 1 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 0.391127288837 0.641389442370 9 2 1 3 0213 2031 0132 2031 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 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 0.176264369456 1.314302865916 4 8 8 2 0213 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493210174929 0.608735623299 7 7 9 3 2310 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623845940652 0.934801621242 6 5 4 8 0213 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420645450012 1.541932603089 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_2']), 'c_1001_8' : d['c_1001_2'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1100_0'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_7'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_8']), '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'], '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' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0011_7'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0101_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_8, c_0110_2, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 11/34*c_1001_0*c_1100_0^2 + 9/17*c_1001_0*c_1100_0 - 10/17*c_1001_0 - 97/119*c_1100_0^2 - 36/119*c_1100_0 - 283/119, c_0011_0 - 1, c_0011_4 - c_1001_0*c_1100_0^2 - c_1001_0 + 2*c_1100_0^2 + 3, c_0011_6 - c_1100_0, c_0011_7 - c_1001_0*c_1100_0 - c_1100_0^2 - 2, c_0011_9 + c_1001_0*c_1100_0^2 + c_1001_0 - c_1100_0^2 - 2, c_0101_8 - c_1001_0*c_1100_0 - c_1100_0^2 - c_1100_0 - 2, c_0110_2 + c_1100_0^2 + 1, c_1001_0^2 - 4*c_1100_0^2 - 2*c_1100_0 - 6, c_1001_2 + c_1100_0^2 + c_1100_0 + 2, c_1100_0^3 + c_1100_0^2 + 2*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB