Magma V2.19-8 Tue Aug 20 2013 23:40:07 on localhost [Seed = 3398217313] Type ? for help. Type -D to quit. Loading file "K12n145__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n145 geometric_solution 10.88963559 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341978387864 0.992851764051 0 0 5 4 0132 1302 0132 0132 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 1 0 -1 -1 0 0 1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689872861159 0.900379345028 6 0 8 7 0132 0132 0132 0132 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 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657600574209 1.062983245403 7 9 10 0 3201 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 0.109332847862 0.478684674794 9 10 1 11 2031 1230 0132 0132 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 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 0.110839945327 0.674420219138 7 10 8 1 0213 1023 1302 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 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 -0.372062931737 1.387204669719 2 8 10 11 0132 3120 0213 2031 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763685389823 0.697750475911 5 11 2 3 0213 1023 0132 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.119495267877 1.621293828810 5 6 9 2 2031 3120 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.003182504326 0.572875411843 8 3 4 11 2310 0132 1302 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.338717766706 1.126294815880 5 6 4 3 1023 0213 3012 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 0.221165142507 1.109275607996 7 6 4 9 1023 1302 0132 2103 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 0.798054681266 1.320982078122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : 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_10'], '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_2_10' : d['1'], 's_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_1001_4']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_0']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_0'], '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_11' : negation(d['c_0101_0']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_8']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_8, c_1001_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 31/1080*c_1001_4^3 - 31/270*c_1001_4^2 + 23/30*c_1001_4 - 119/45, c_0011_0 - 1, c_0011_10 - 1/5*c_1001_4^3 + 7/10*c_1001_4^2 - 7/5*c_1001_4 - 1/5, c_0011_11 + 1/30*c_1001_4^3 - 11/30*c_1001_4^2 + 2/5*c_1001_4 - 4/5, c_0011_3 + 1/10*c_1001_4^3 - 1/10*c_1001_4^2 + 1/5*c_1001_4 + 3/5, c_0011_4 + 2/15*c_1001_4^3 - 7/15*c_1001_4^2 + 3/5*c_1001_4 - 6/5, c_0101_0 + 1/15*c_1001_4^3 - 7/30*c_1001_4^2 - 1/5*c_1001_4 - 3/5, c_0101_1 - 1/15*c_1001_4^3 + 7/30*c_1001_4^2 - 4/5*c_1001_4 - 2/5, c_0101_10 + 2/15*c_1001_4^3 - 7/15*c_1001_4^2 + 3/5*c_1001_4 + 4/5, c_0101_11 - 1/15*c_1001_4^3 + 7/30*c_1001_4^2 - 4/5*c_1001_4 - 2/5, c_0101_8 - 1, c_1001_3 + 1/30*c_1001_4^3 + 2/15*c_1001_4^2 - 3/5*c_1001_4 + 1/5, c_1001_4^4 - 4*c_1001_4^3 + 10*c_1001_4^2 + 12 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_8, c_1001_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/90*c_1001_4^3 + 2/45*c_1001_4^2 + 1/18*c_1001_4 + 1/90, c_0011_0 - 1, c_0011_10 - 1/5*c_1001_4^3 - 4/5*c_1001_4^2 - 2*c_1001_4 - 16/5, c_0011_11 - 3/5*c_1001_4^3 - 2/5*c_1001_4^2 - 3*c_1001_4 - 3/5, c_0011_3 - 1/5*c_1001_4^3 + 1/5*c_1001_4^2 - c_1001_4 + 9/5, c_0011_4 - 4/5*c_1001_4^3 - 6/5*c_1001_4^2 - 5*c_1001_4 - 14/5, c_0101_0 - 2/5*c_1001_4^3 - 3/5*c_1001_4^2 - 3*c_1001_4 - 7/5, c_0101_1 + 1, c_0101_10 + 1/5*c_1001_4^3 + 4/5*c_1001_4^2 + 2*c_1001_4 + 11/5, c_0101_11 - 2/5*c_1001_4^3 - 3/5*c_1001_4^2 - 2*c_1001_4 - 7/5, c_0101_8 + 2/5*c_1001_4^3 + 3/5*c_1001_4^2 + 2*c_1001_4 + 7/5, c_1001_3 + 1/5*c_1001_4^3 + 4/5*c_1001_4^2 + c_1001_4 + 11/5, c_1001_4^4 + 2*c_1001_4^3 + 7*c_1001_4^2 + 6*c_1001_4 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.670 Total time: 0.890 seconds, Total memory usage: 32.09MB