Magma V2.19-8 Tue Aug 20 2013 23:38:46 on localhost [Seed = 1074144266] Type ? for help. Type -D to quit. Loading file "K12n120__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n120 geometric_solution 9.87594244 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 -5 6 0 -1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023773272886 1.144288898733 0 5 2 5 0132 0132 1023 1023 0 0 0 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 -1 0 1 0 -6 1 0 5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348381331039 0.514503926309 3 0 1 6 0132 0132 1023 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 -1 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569843374012 1.055993070061 2 7 8 0 0132 0132 0132 0132 0 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 0 1 -1 0 0 -1 1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.577086579810 1.244887068897 9 9 0 10 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709880985517 0.821976021296 7 1 10 1 0132 0132 1302 1023 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 5 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490074184850 0.495379716408 8 10 2 9 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.655363095644 0.902869655891 5 3 10 8 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 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 0.285567304176 0.786763514001 6 9 7 3 0132 2103 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 -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 0.170631485338 0.619540669492 4 8 6 4 0132 2103 2031 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 0 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381829182875 1.081812693710 5 6 4 7 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577977883593 0.469147095452 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1001_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : d['c_1100_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_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], '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_0101_3'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 15/2*c_1100_0^7 - 37/2*c_1100_0^6 + 81/2*c_1100_0^5 - 51*c_1100_0^4 + 51*c_1100_0^3 - 95/2*c_1100_0^2 + 39/2*c_1100_0 - 37/2, c_0011_0 - 1, c_0011_10 + c_1100_0^5 - 2*c_1100_0^4 + 3*c_1100_0^3 - 2*c_1100_0^2 + c_1100_0, c_0011_4 - c_1100_0^6 + 2*c_1100_0^5 - 4*c_1100_0^4 + 4*c_1100_0^3 - 3*c_1100_0^2 + 2*c_1100_0, c_0101_0 - c_1100_0^7 + 2*c_1100_0^6 - 4*c_1100_0^5 + 4*c_1100_0^4 - 4*c_1100_0^3 + 4*c_1100_0^2 - 2*c_1100_0 + 2, c_0101_1 - c_1100_0^7 + 3*c_1100_0^6 - 6*c_1100_0^5 + 7*c_1100_0^4 - 6*c_1100_0^3 + 4*c_1100_0^2 - 2*c_1100_0 + 1, c_0101_10 - c_1100_0^7 + 3*c_1100_0^6 - 7*c_1100_0^5 + 10*c_1100_0^4 - 11*c_1100_0^3 + 9*c_1100_0^2 - 5*c_1100_0 + 3, c_0101_3 + c_1100_0^7 - 2*c_1100_0^6 + 3*c_1100_0^5 - 2*c_1100_0^4 - c_1100_0, c_0101_7 - c_1100_0^5 + 2*c_1100_0^4 - 4*c_1100_0^3 + 4*c_1100_0^2 - 3*c_1100_0 + 2, c_1001_0 - c_1100_0^6 + 2*c_1100_0^5 - 3*c_1100_0^4 + 2*c_1100_0^3 + 1, c_1001_10 - c_1100_0^7 + 3*c_1100_0^6 - 7*c_1100_0^5 + 10*c_1100_0^4 - 12*c_1100_0^3 + 10*c_1100_0^2 - 6*c_1100_0 + 3, c_1100_0^8 - 3*c_1100_0^7 + 7*c_1100_0^6 - 10*c_1100_0^5 + 11*c_1100_0^4 - 10*c_1100_0^3 + 6*c_1100_0^2 - 4*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.540 seconds, Total memory usage: 32.09MB