Magma V2.19-8 Tue Aug 20 2013 23:38:21 on localhost [Seed = 2834222208] Type ? for help. Type -D to quit. Loading file "K13n572__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n572 geometric_solution 9.35569950 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 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 -1 0 1 1 0 1 -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 0.806280246028 0.915649188493 0 5 7 6 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 1 0 -1 -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 -0.176103493784 0.707091138958 3 0 8 4 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.730013002184 1.033367766317 2 5 8 0 0132 1023 0321 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 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 0.806280246028 0.915649188493 2 9 0 6 3120 0132 0132 0213 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 -1 1 0 0 2 -2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475203684312 0.528549295669 3 1 7 9 1023 0132 3201 1230 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 2 -1 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 -0.176103493784 0.707091138958 8 7 1 4 0132 0132 0132 0213 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 1 -1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490038586420 0.891687434218 5 6 9 1 2310 0132 0321 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 0 0 0 0 0 1 -1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027674943504 0.986965182336 6 9 3 2 0132 0321 0321 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 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 0.945961540203 0.952726402334 5 4 7 8 3012 0132 0321 0321 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 1 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483299187526 0.845067491400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_7'], 's_2_8' : d['1'], 's_2_9' : 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_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' : d['c_1001_7'], 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_9'], 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : negation(d['c_0101_1']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : d['c_1001_7'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_1001_9'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_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_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' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_6']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), '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' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_0'], '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' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_1001_2, c_1001_7, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 39366/91*c_1001_9 + 32805/91, c_0011_0 - 1, c_0011_4 - c_1001_9 - 1, c_0011_6 - 3*c_1001_9 + 2/3, c_0101_0 + c_1001_9 - 1/3, c_0101_1 + 1/3, c_0101_3 - c_1001_9, c_0101_7 + 2*c_1001_9 - 1/3, c_1001_2 - c_1001_9 - 2/3, c_1001_7 + c_1001_9, c_1001_9^2 - 1/3*c_1001_9 + 1/9 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_1001_2, c_1001_7, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 13122/91*c_1001_9 - 41553/91, c_0011_0 - 1, c_0011_4 - 1/3*c_1001_9 - 1/9, c_0011_6 - 1/3*c_1001_9 + 2/9, c_0101_0 + 1/3*c_1001_9 - 11/9, c_0101_1 + 1/3, c_0101_3 - 1/3*c_1001_9 + 8/9, c_0101_7 + 2/3*c_1001_9 - 1/9, c_1001_2 - 1/3*c_1001_9 + 2/9, c_1001_7 - 1/3*c_1001_9 + 2/9, c_1001_9^2 - 1/3*c_1001_9 + 7/9 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_1001_2, c_1001_7, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2*c_1001_9^3 - 3*c_1001_9^2 - 9*c_1001_9 - 4, c_0011_0 - 1, c_0011_4 - c_1001_9^3 - c_1001_9^2 - 4*c_1001_9 - 1, c_0011_6 - 4*c_1001_9^3 - 6*c_1001_9^2 - 17*c_1001_9 - 8, c_0101_0 + c_1001_9^3 + c_1001_9^2 + 4*c_1001_9 + 1, c_0101_1 - 1, c_0101_3 + c_1001_9^3 + c_1001_9^2 + 4*c_1001_9 + 2, c_0101_7 - 2*c_1001_9^3 - 3*c_1001_9^2 - 9*c_1001_9 - 4, c_1001_2 + c_1001_9^3 + c_1001_9^2 + 4*c_1001_9, c_1001_7 + 2*c_1001_9^3 + 3*c_1001_9^2 + 8*c_1001_9 + 3, c_1001_9^4 + 2*c_1001_9^3 + 5*c_1001_9^2 + 4*c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB