Magma V2.19-8 Tue Aug 20 2013 23:31:29 on localhost [Seed = 1798114811] Type ? for help. Type -D to quit. Loading file "L9a30__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a30 geometric_solution 8.08558661 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 1 2 3 0132 1230 0132 0132 1 1 1 0 0 1 0 -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 0 0 0 0 -2 -1 3 2 0 0 -2 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624922274072 1.535366153957 0 2 0 4 0132 3120 3012 0132 0 1 0 1 0 -1 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 0 1 1 -2 -2 0 2 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 0.772579974673 0.558746301911 5 1 4 0 0132 3120 1230 0132 1 1 0 0 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 -1 0 1 -2 0 2 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 -0.147657700601 0.976619852046 6 7 0 5 0132 0132 0132 1023 1 1 0 1 0 0 1 -1 0 0 -1 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 1 -3 2 0 0 2 -2 -1 2 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325186844602 0.869832950976 5 8 1 2 2103 0132 0132 3012 0 1 1 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 -2 2 0 0 0 0 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969398316361 0.490678341662 2 8 4 3 0132 1302 2103 1023 1 1 0 0 0 0 1 -1 -1 0 0 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 0 -2 2 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 0.784682783952 1.223502639428 3 8 7 7 0132 3012 2103 1023 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 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 1.706933983875 1.332324687470 6 3 8 6 2103 0132 3120 1023 1 1 1 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 -1 1 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 0.473569931407 0.534309643531 6 4 7 5 1230 0132 3120 2031 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 0 0 0 0 0 0 0 2 -2 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 0.622908749423 1.008670555781 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_1001_8' : negation(d['c_0101_2']), 's_2_8' : d['1'], '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_0_8' : 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_8' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0011_2']), '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_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_8' : d['1'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_8']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 735/16*c_0110_4^6 - 521/4*c_0110_4^5 - 1383/4*c_0110_4^4 - 8631/16*c_0110_4^3 - 10311/16*c_0110_4^2 - 8561/16*c_0110_4 - 4449/16, c_0011_0 - 1, c_0011_2 - c_0110_4, c_0011_3 + c_0110_4^3 + c_0110_4^2 + 2*c_0110_4 + 1, c_0101_0 - c_0110_4 - 1, c_0101_1 - 1, c_0101_2 - c_0110_4^2 - c_0110_4 - 1, c_0101_6 - c_0110_4^4 - c_0110_4^3 - 3*c_0110_4^2 - 2*c_0110_4 - 1, c_0101_8 + c_0110_4^6 + 2*c_0110_4^5 + 5*c_0110_4^4 + 6*c_0110_4^3 + 6*c_0110_4^2 + 4*c_0110_4 + 1, c_0110_4^7 + 3*c_0110_4^6 + 8*c_0110_4^5 + 13*c_0110_4^4 + 16*c_0110_4^3 + 14*c_0110_4^2 + 8*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB