Magma V2.19-8 Tue Aug 20 2013 17:56:09 on localhost [Seed = 1848629668] Type ? for help. Type -D to quit. Loading file "10^2_123__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_123 geometric_solution 11.11129174 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 -3 3 -1 0 1 0 3 -2 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687094616541 0.748004188403 0 3 6 5 0132 3120 0132 0132 1 1 1 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 5 -4 -1 1 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723812931818 0.379094937766 7 0 9 8 0132 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 4 1 0 -5 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630021943339 0.442006416460 6 1 8 0 2310 3120 2103 0132 0 1 1 1 0 1 0 -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 -3 0 3 0 0 1 -1 1 0 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489950435765 0.422794257752 10 11 0 7 0132 0132 0132 2103 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 0 0 0 0 0 0 1 -3 2 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 0.739527568747 0.669896103713 6 10 1 10 0321 0321 0132 0132 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 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 0.390997567407 0.506453933839 5 7 3 1 0321 3201 3201 0132 1 1 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 -4 0 4 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 0.474768196986 0.749265035031 2 8 6 4 0132 2103 2310 2103 0 1 0 1 0 0 0 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 0 0 0 0 0 0 0 2 0 0 -2 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549609650663 0.860748477240 3 7 2 9 2103 2103 0132 3120 0 1 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 -1 0 0 1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119145941881 1.194545142648 8 11 10 2 3120 1230 3012 0132 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 0 1 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 0.368549135540 0.558598493401 4 9 5 5 0132 1230 0132 0321 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 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 0.970708134474 0.807252856481 11 4 9 11 3012 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.356920465892 0.612928778358 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0011_0'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), '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_1100_9' : negation(d['c_0101_9']), 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : negation(d['c_0011_9']), '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_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_9']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], '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_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_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' : negation(d['c_0011_5'])})} 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_3, c_0011_5, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 395804723/286789184*c_0101_9^9 + 381553431/286789184*c_0101_9^8 - 90088719/143394592*c_0101_9^7 + 297501991/35848648*c_0101_9^6 - 2255727813/143394592*c_0101_9^5 + 4457531469/286789184*c_0101_9^4 - 886223485/71697296*c_0101_9^3 + 1678624675/286789184*c_0101_9^2 - 291244739/143394592*c_0101_9 + 176596865/286789184, c_0011_0 - 1, c_0011_10 - 2*c_0101_9^9 + c_0101_9^8 - c_0101_9^7 + 12*c_0101_9^6 - 18*c_0101_9^5 + 17*c_0101_9^4 - 16*c_0101_9^3 + 10*c_0101_9^2 - 4*c_0101_9 + 2, c_0011_3 - 3*c_0101_9^9 - 2*c_0101_9^8 - c_0101_9^7 + 17*c_0101_9^6 - 5*c_0101_9^5 + 4*c_0101_9^4 - 3*c_0101_9^3 - 9*c_0101_9^2 - c_0101_9 - 4, c_0011_5 - 5*c_0101_9^9 + 3*c_0101_9^8 - 2*c_0101_9^7 + 32*c_0101_9^6 - 46*c_0101_9^5 + 45*c_0101_9^4 - 48*c_0101_9^3 + 26*c_0101_9^2 - 14*c_0101_9 + 5, c_0011_6 - 7*c_0101_9^9 + 4*c_0101_9^8 - 3*c_0101_9^7 + 44*c_0101_9^6 - 64*c_0101_9^5 + 62*c_0101_9^4 - 64*c_0101_9^3 + 35*c_0101_9^2 - 18*c_0101_9 + 6, c_0011_8 - 4*c_0101_9^9 - 4*c_0101_9^8 - 2*c_0101_9^7 + 22*c_0101_9^6 + c_0101_9^5 + c_0101_9^4 - c_0101_9^3 - 17*c_0101_9^2 - 7, c_0011_9 + c_0101_9^8 + c_0101_9^7 - 6*c_0101_9^5 + 3*c_0101_9^3 + 2*c_0101_9 - 1, c_0101_0 - 1, c_0101_11 + 2*c_0101_9^9 - 2*c_0101_9^8 - 13*c_0101_9^6 + 23*c_0101_9^5 - 18*c_0101_9^4 + 18*c_0101_9^3 - 11*c_0101_9^2 + 4*c_0101_9 - 2, c_0101_2 + 3*c_0101_9^9 - c_0101_9^8 + 2*c_0101_9^7 - 19*c_0101_9^6 + 23*c_0101_9^5 - 27*c_0101_9^4 + 30*c_0101_9^3 - 15*c_0101_9^2 + 10*c_0101_9 - 3, c_0101_3 - 4*c_0101_9^9 - 4*c_0101_9^8 - c_0101_9^7 + 22*c_0101_9^6 + c_0101_9^5 - 5*c_0101_9^4 + 5*c_0101_9^3 - 20*c_0101_9^2 + 3*c_0101_9 - 7, c_0101_9^10 + c_0101_9^8 - 6*c_0101_9^7 + 6*c_0101_9^6 - 9*c_0101_9^5 + 9*c_0101_9^4 - 5*c_0101_9^3 + 5*c_0101_9^2 - c_0101_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB