Magma V2.19-8 Tue Aug 20 2013 23:42:40 on localhost [Seed = 3785852066] Type ? for help. Type -D to quit. Loading file "L14n25127__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25127 geometric_solution 9.62763837 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 1 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 0 0 0 0 0 2 -2 0 0 0 0 12 -11 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183286318244 0.983059573752 0 5 2 6 0132 0132 1023 0132 0 0 1 1 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 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316713681756 0.691668578684 4 0 1 5 0132 0132 1023 0132 0 0 1 1 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 -1 0 0 1 1 -1 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581685519964 1.627123302546 7 6 7 0 0132 0132 1230 0132 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 2 0 -2 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 0.500000000000 0.601838560876 2 5 0 7 0132 1023 0132 2031 0 0 1 1 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 -3 2 1 1 0 0 -1 11 0 0 -11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183286318244 0.983059573752 4 1 2 8 1023 0132 0132 0132 0 0 1 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 3 0 -1 -2 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316713681756 0.691668578684 8 3 1 9 0213 0132 0132 0132 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 -2 0 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 0 0 0 0 0.683286318244 0.691668578684 3 4 8 3 0132 1302 0213 3012 0 0 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 0 0 0 0 1 -1 0 0 1 11 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183286318244 0.983059573752 6 7 5 9 0213 0213 0132 3201 0 0 0 1 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 2 -2 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683286318244 0.691668578684 9 8 6 9 3201 2310 0132 2310 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 0 -2 2 0 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 0.851793826718 0.576479490041 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_2'], '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_1001_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_0101_2'], 's_2_8' : d['1'], 's_2_9' : d['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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0011_9']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_9']), 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_1001_3']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_1'], '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_0011_8'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0110_9' : negation(d['c_0101_9']), 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_9']})} 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_3, c_0011_8, c_0011_9, c_0101_1, c_0101_2, c_0101_3, c_0101_9, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 329667089348/41272388217*c_1001_3^5 + 5317623650462/41272388217*c_1001_3^4 - 6826096704262/13757462739*c_1001_3^3 - 8786419847737/41272388217*c_1001_3^2 - 61766441754707/41272388217*c_1001_3 + 58453473897209/41272388217, c_0011_0 - 1, c_0011_3 - 1, c_0011_8 - 1, c_0011_9 + 45157/18871691*c_1001_3^5 - 705854/18871691*c_1001_3^4 + 1815899/18871691*c_1001_3^3 + 6625911/18871691*c_1001_3^2 + 18113959/18871691*c_1001_3 - 6309693/18871691, c_0101_1 + 65069/18871691*c_1001_3^5 - 1005817/18871691*c_1001_3^4 + 3659731/18871691*c_1001_3^3 + 639379/18871691*c_1001_3^2 + 24564652/18871691*c_1001_3 - 4147628/18871691, c_0101_2 + 69190/18871691*c_1001_3^5 - 1112442/18871691*c_1001_3^4 + 4117152/18871691*c_1001_3^3 + 1716715/18871691*c_1001_3^2 + 20782764/18871691*c_1001_3 - 12035668/18871691, c_0101_3 + 41036/18871691*c_1001_3^5 - 599229/18871691*c_1001_3^4 + 1358478/18871691*c_1001_3^3 + 5548575/18871691*c_1001_3^2 + 21895847/18871691*c_1001_3 + 1578347/18871691, c_0101_9 - 132112/18871691*c_1001_3^5 + 2103923/18871691*c_1001_3^4 - 8010249/18871691*c_1001_3^3 - 3937970/18871691*c_1001_3^2 - 10059776/18871691*c_1001_3 + 6134229/18871691, c_1001_0 - 69190/18871691*c_1001_3^5 + 1112442/18871691*c_1001_3^4 - 4117152/18871691*c_1001_3^3 - 1716715/18871691*c_1001_3^2 - 20782764/18871691*c_1001_3 + 12035668/18871691, c_1001_3^6 - 16*c_1001_3^5 + 60*c_1001_3^4 + 35*c_1001_3^3 + 190*c_1001_3^2 - 154*c_1001_3 - 27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB