Magma V2.19-8 Wed Aug 21 2013 01:05:00 on localhost [Seed = 1916037654] Type ? for help. Type -D to quit. Loading file "L14n24959__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24959 geometric_solution 11.61754350 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 1 0 2 2310 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 -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 -0.050179915276 0.768973623697 3 0 5 4 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 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 0.478832878677 1.025872382820 6 7 0 3 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410105164110 1.093082327207 1 2 8 7 0132 2310 0132 2310 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 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002337251987 0.786474482071 8 6 1 9 0132 1302 0132 0132 0 0 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 -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 0 0 0 0 0.841560615531 1.008520360844 10 9 11 1 0132 1023 0132 0132 0 0 0 1 0 0 0 0 1 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 0 0 0 -2 0 2 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 0.135885303463 0.401235638996 2 12 12 4 0132 0132 0321 2031 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 -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 0.735140350201 1.023571516667 3 2 10 12 3201 0132 0321 2310 0 0 0 0 0 0 -1 1 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 -1 2 -1 0 0 -1 1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642141924282 0.695731155513 4 9 10 3 0132 2103 3012 0132 0 0 0 1 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 0 1 -1 0 0 -2 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567717865287 0.194792140161 5 8 4 11 1023 2103 0132 0132 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.286620118130 1.497450030972 5 8 7 11 0132 1230 0321 0321 0 0 1 0 0 -1 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 0 0 0 0 0 2 -2 0 2 0 -2 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 1.231617985860 1.524654608212 12 10 9 5 3201 0321 0132 0132 0 0 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 2 0 0 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308956553659 0.994288718721 7 6 6 11 3201 0132 0321 2310 1 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 1 0 -1 0 0 0 0 1 1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735140350201 1.023571516667 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_4'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(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_1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : 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_12' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0101_12'], 'c_1010_2' : d['c_1001_11'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_1001_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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_0011_11'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_12'], 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0101_12']), 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0101_12']), 'c_0110_6' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_8, c_1001_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1689539/1357552*c_1100_1^3 - 8085283/1357552*c_1100_1^2 + 44339241/1357552*c_1100_1 - 66524307/1357552, c_0011_0 - 1, c_0011_10 - 1/16*c_1100_1^3 - 1/4*c_1100_1^2 + 29/16*c_1100_1 - 19/8, c_0011_11 + 1/16*c_1100_1^2 + 5/8*c_1100_1 - 17/16, c_0011_12 - 1/8*c_1100_1^2 - 1/4*c_1100_1 + 9/8, c_0011_4 - 1, c_0101_0 + 1/8*c_1100_1^3 + 11/16*c_1100_1^2 - 11/4*c_1100_1 + 41/16, c_0101_1 + 1/8*c_1100_1^3 + 1/2*c_1100_1^2 - 29/8*c_1100_1 + 15/4, c_0101_11 - 1/16*c_1100_1^3 - 7/16*c_1100_1^2 + 15/16*c_1100_1 - 3/16, c_0101_12 + 3/16*c_1100_1^2 + 7/8*c_1100_1 - 19/16, c_0101_3 - 1/16*c_1100_1^2 + 3/8*c_1100_1 + 17/16, c_0101_8 - 1/16*c_1100_1^3 - 5/16*c_1100_1^2 + 19/16*c_1100_1 - 21/16, c_1001_11 + 1/16*c_1100_1^3 + 3/8*c_1100_1^2 - 9/16*c_1100_1 + 5/4, c_1100_1^4 + 4*c_1100_1^3 - 30*c_1100_1^2 + 60*c_1100_1 - 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.550 Total time: 0.760 seconds, Total memory usage: 32.09MB