Magma V2.19-8 Tue Aug 20 2013 23:39:28 on localhost [Seed = 711741039] Type ? for help. Type -D to quit. Loading file "K13n5016__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n5016 geometric_solution 8.85963727 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 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 -1 0 1 0 0 0 0 -1 13 0 -12 -13 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.097622580208 0.563280296714 0 5 5 6 0132 0132 1302 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 13 -13 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766031727480 0.490576717150 7 0 5 8 0132 0132 1023 0132 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 1 0 -1 0 0 0 0 1 -1 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.053752852619 0.848564571304 9 8 7 0 0132 1023 1023 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 0 0 0 0 0 0 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822447049628 0.364764683587 10 6 0 5 0132 0321 0132 2103 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 -1 1 0 0 0 0 0 0 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278857229751 0.370077584885 1 1 2 4 2031 0132 1023 2103 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 1 0 0 -1 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074248475847 0.592863359732 9 7 1 4 2103 1302 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424322501600 0.463580742320 2 10 3 6 0132 0321 1023 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147441918982 0.200356552576 3 9 2 10 1023 2310 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 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 1.081087547041 1.136253505847 3 10 6 8 0132 0132 2103 3201 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 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560501772455 0.461925033942 4 9 8 7 0132 0132 2031 0321 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 1 -1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.078835568578 2.216359198712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0110_8']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_0110_8'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0110_8'], 'c_1010_10' : d['c_0011_6'], '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_0011_10']), 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0110_8'], 'c_1010_2' : d['c_0110_8'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : negation(d['c_0110_8']), 'c_1010_8' : negation(d['c_0101_3']), '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_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : 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_6, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 46199/841092*c_0110_8^3 - 243451/841092*c_0110_8^2 + 463361/841092*c_0110_8 - 3820/210273, c_0011_0 - 1, c_0011_10 - 3/17*c_0110_8^3 + 5/17*c_0110_8^2 - 18/17*c_0110_8 - 6/17, c_0011_6 + 5/17*c_0110_8^3 - 14/17*c_0110_8^2 + 30/17*c_0110_8 - 24/17, c_0101_0 + 2/17*c_0110_8^3 - 9/17*c_0110_8^2 + 12/17*c_0110_8 + 4/17, c_0101_10 - 4/17*c_0110_8^3 + 18/17*c_0110_8^2 - 24/17*c_0110_8 + 43/17, c_0101_2 + 3/17*c_0110_8^3 - 5/17*c_0110_8^2 + 1/17*c_0110_8 + 6/17, c_0101_3 + 3/17*c_0110_8^3 - 22/17*c_0110_8^2 + 35/17*c_0110_8 - 45/17, c_0101_5 + 1/17*c_0110_8^3 + 4/17*c_0110_8^2 - 11/17*c_0110_8 + 19/17, c_0101_7 - c_0110_8 + 1, c_0110_5 - 2/17*c_0110_8^3 + 9/17*c_0110_8^2 - 12/17*c_0110_8 + 30/17, c_0110_8^4 - 6*c_0110_8^3 + 17*c_0110_8^2 - 24*c_0110_8 + 31 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 466*c_0110_8^3 - 3529/2*c_0110_8^2 - 2885*c_0110_8 - 4359/2, c_0011_0 - 1, c_0011_10 + c_0110_8, c_0011_6 + c_0110_8^2 + c_0110_8, c_0101_0 - c_0110_8^2 - 2*c_0110_8 - 1, c_0101_10 + c_0110_8^2 + 2*c_0110_8 + 1, c_0101_2 + c_0110_8^3 + 4*c_0110_8^2 + 6*c_0110_8 + 3, c_0101_3 + c_0110_8^3 + 3*c_0110_8^2 + 3*c_0110_8, c_0101_5 + c_0110_8^3 + 3*c_0110_8^2 + 4*c_0110_8 + 2, c_0101_7 + c_0110_8^2 + c_0110_8, c_0110_5 - 1, c_0110_8^4 + 4*c_0110_8^3 + 7*c_0110_8^2 + 6*c_0110_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.440 Total time: 0.670 seconds, Total memory usage: 32.09MB