Magma V2.19-8 Tue Aug 20 2013 23:42:29 on localhost [Seed = 2867646401] Type ? for help. Type -D to quit. Loading file "L13n3153__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3153 geometric_solution 10.31188377 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365202655750 0.682885220601 0 3 6 5 0132 1023 0132 0132 1 1 1 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 -1 1 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 0.187324533036 1.256186971232 7 0 9 8 0132 0132 0132 0132 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 0 0 0 1 0 -1 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 0.574992239723 0.532235949854 1 6 10 0 1023 0132 0132 0132 1 1 1 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 1 0 -1 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 0.051819648997 1.491845320785 7 8 0 5 3012 3012 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -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 0.391029704025 1.138701508216 7 4 1 10 2031 1302 0132 1302 1 1 1 1 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 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187324533036 1.256186971232 7 3 9 1 1023 0132 3120 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 -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 0.458074606255 0.573645462392 2 6 5 4 0132 1023 1302 1230 1 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 0 0 0 0 0 0 0 1 0 -1 -1 0 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976744633051 0.669502998154 4 9 2 10 1230 3120 0132 0321 1 1 0 1 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.063364556248 0.866987448931 10 8 6 2 0321 3120 3120 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 0 0 0 0 -1 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 1.063364556248 0.866987448931 9 8 5 3 0321 0321 2031 0132 1 1 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149984479445 1.064471899708 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : negation(d['c_0011_8']), 'c_1001_9' : negation(d['c_1001_0']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_9']), '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_0101_6']), 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_1010_5']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : negation(d['c_0101_6']), 'c_1100_10' : negation(d['c_1010_5']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_8']), 'c_1010_9' : negation(d['c_0011_8']), '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_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_5']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} 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_5, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_0, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + c_1010_5^2 - c_1010_5 + 3, c_0011_0 - 1, c_0011_10 + 2*c_1010_5^3 - c_1010_5^2 + 4*c_1010_5 + 3, c_0011_5 - c_1010_5^3 - 2*c_1010_5 - 2, c_0011_8 + c_1010_5^3 - c_1010_5^2 + 2*c_1010_5 + 1, c_0011_9 + c_1010_5^3 - c_1010_5^2 + 2*c_1010_5 + 2, c_0101_0 - 1, c_0101_1 - 3*c_1010_5^3 + 2*c_1010_5^2 - 7*c_1010_5 - 5, c_0101_10 + 2*c_1010_5^3 - c_1010_5^2 + 5*c_1010_5 + 3, c_0101_6 - c_1010_5^3 + c_1010_5^2 - 3*c_1010_5 - 1, c_1001_0 - 2*c_1010_5^3 + c_1010_5^2 - 5*c_1010_5 - 4, c_1010_5^4 + 2*c_1010_5^2 + 3*c_1010_5 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_0, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1553/204*c_1010_5^5 - 3325/408*c_1010_5^4 + 1515/136*c_1010_5^3 + 280/17*c_1010_5^2 + 435/68*c_1010_5 - 2899/204, c_0011_0 - 1, c_0011_10 + 18/17*c_1010_5^5 - 15/17*c_1010_5^4 + 26/17*c_1010_5^3 + 33/17*c_1010_5^2 + 39/17*c_1010_5 - 27/17, c_0011_5 - 7/17*c_1010_5^5 + 23/34*c_1010_5^4 - 41/34*c_1010_5^3 - 10/17*c_1010_5^2 - 1/17*c_1010_5 + 2/17, c_0011_8 + 12/17*c_1010_5^5 - 10/17*c_1010_5^4 + 6/17*c_1010_5^3 + 39/17*c_1010_5^2 - 8/17*c_1010_5 - 18/17, c_0011_9 - 1, c_0101_0 - 1, c_0101_1 - 19/17*c_1010_5^5 + 43/34*c_1010_5^4 - 53/34*c_1010_5^3 - 49/17*c_1010_5^2 - 10/17*c_1010_5 + 37/17, c_0101_10 + 19/17*c_1010_5^5 - 43/34*c_1010_5^4 + 53/34*c_1010_5^3 + 49/17*c_1010_5^2 + 10/17*c_1010_5 - 20/17, c_0101_6 - 7/17*c_1010_5^5 + 23/34*c_1010_5^4 - 41/34*c_1010_5^3 - 10/17*c_1010_5^2 - 1/17*c_1010_5 + 2/17, c_1001_0 + c_1010_5 - 1, c_1010_5^6 - 3/2*c_1010_5^5 + 2*c_1010_5^4 + 3/2*c_1010_5^3 - 2*c_1010_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB