Magma V2.19-8 Tue Aug 20 2013 17:56:53 on localhost [Seed = 1899021674] Type ? for help. Type -D to quit. Loading file "11_204__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_204 geometric_solution 10.95596553 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 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 0 0 13 -13 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560321698533 0.579481039723 0 5 2 6 0132 0132 3120 0132 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 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 1.697968159125 1.471321435934 3 0 1 7 0321 0132 3120 0132 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 1 -1 0 0 0 0 0 0 1 0 -1 -14 1 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700857739831 0.682671826688 2 5 8 0 0321 2310 0132 0132 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 14 0 -1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697968159125 1.471321435934 7 8 0 9 3120 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 0 -1 1 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549402763757 0.904176840168 10 1 11 3 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.633503143492 0.842816203416 10 9 1 8 1302 2031 0132 1230 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 0 13 -13 0 0 0 0 0 -1 1 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030124503752 0.551343215300 11 10 2 4 2031 3201 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 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 1.051725665384 1.538163444519 6 4 11 3 3012 0132 3201 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 -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 0.560321698533 0.579481039723 6 10 4 11 1302 0321 0132 3201 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 0 0 0 0 0 1 -1 0 -13 0 13 0 -13 13 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335541928689 0.680994361822 5 6 7 9 0132 2031 2310 0321 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 1 0 -1 0 0 1 -1 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563132105413 0.382023566549 8 9 7 5 2310 2310 1302 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 0.184726322722 1.162030632028 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0011_6'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_11']), 'c_1100_3' : negation(d['c_0011_11']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_1001_1']), 's_3_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 307/44544*c_1001_1^4 - 5477/44544*c_1001_1^3 + 815/5568*c_1001_1^2 - 6943/11136*c_1001_1 + 1725/1856, c_0011_0 - 1, c_0011_11 - 1/8*c_1001_1^4 + 1/8*c_1001_1^3 - 1/4*c_1001_1^2 + 1, c_0011_3 + 1/8*c_1001_1^4 - 3/8*c_1001_1^3 + 1/2*c_1001_1^2 - 3/2*c_1001_1, c_0011_4 - 3/8*c_1001_1^4 + 3/8*c_1001_1^3 - 7/4*c_1001_1^2 + 3*c_1001_1, c_0011_6 + 1/8*c_1001_1^4 + 1/8*c_1001_1^3 + 1/2*c_1001_1^2 - 2, c_0011_7 - 1/4*c_1001_1^3 + 1/4*c_1001_1^2 - 3/2*c_1001_1 + 3, c_0011_9 - 1/8*c_1001_1^4 + 1/8*c_1001_1^3 - 1/4*c_1001_1^2 + 1, c_0101_1 - 1/8*c_1001_1^4 + 1/8*c_1001_1^3 - 1/4*c_1001_1^2 + c_1001_1 + 1, c_0101_10 + 1, c_0101_2 - 1/4*c_1001_1^4 - 1/4*c_1001_1^2 + 1/2*c_1001_1, c_0110_9 + c_1001_1^2 - 1, c_1001_1^5 - 2*c_1001_1^4 + 5*c_1001_1^3 - 12*c_1001_1^2 + 4*c_1001_1 + 8 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 11/70*c_1001_1^4 + 15/14*c_1001_1^3 - 15/14*c_1001_1^2 - 37/35*c_1001_1 + 73/35, c_0011_0 - 1, c_0011_11 - c_1001_1^4 + c_1001_1^3 + c_1001_1^2 - 3*c_1001_1 + 1, c_0011_3 + c_1001_1^4 - c_1001_1^3 - 2*c_1001_1^2 + 3*c_1001_1 - 1, c_0011_4 + c_1001_1^4 - c_1001_1^3 - c_1001_1^2 + 3*c_1001_1 - 1, c_0011_6 + c_1001_1^4 - 2*c_1001_1^3 - c_1001_1^2 + 4*c_1001_1 - 2, c_0011_7 - 1, c_0011_9 - c_1001_1^4 + c_1001_1^3 + c_1001_1^2 - 3*c_1001_1 + 1, c_0101_1 - c_1001_1^4 + c_1001_1^3 + c_1001_1^2 - 2*c_1001_1 + 1, c_0101_10 + 1, c_0101_2 - c_1001_1^3 + c_1001_1 - 1, c_0110_9 + c_1001_1^2 - 1, c_1001_1^5 - 2*c_1001_1^4 + 4*c_1001_1^2 - 4*c_1001_1 + 2 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 65/8*c_1001_1^4 - 131/4*c_1001_1^3 - 49/8*c_1001_1^2 + 181/8*c_1001_1 + 77/8, c_0011_0 - 1, c_0011_11 - 4*c_1001_1^4 - 10*c_1001_1^3 + 17*c_1001_1^2 - c_1001_1 - 7, c_0011_3 - 2*c_1001_1^4 - 5*c_1001_1^3 + 8*c_1001_1^2 - c_1001_1 - 3, c_0011_4 + 4*c_1001_1^4 + 10*c_1001_1^3 - 17*c_1001_1^2 + c_1001_1 + 7, c_0011_6 - 3*c_1001_1^4 - 7*c_1001_1^3 + 14*c_1001_1^2 - 2*c_1001_1 - 6, c_0011_7 - 1, c_0011_9 - 4*c_1001_1^4 - 10*c_1001_1^3 + 17*c_1001_1^2 - c_1001_1 - 7, c_0101_1 + c_1001_1^4 + 3*c_1001_1^3 - 3*c_1001_1^2 - 2*c_1001_1 + 2, c_0101_10 - 2*c_1001_1^4 - 5*c_1001_1^3 + 8*c_1001_1^2 - c_1001_1 - 4, c_0101_2 + 3*c_1001_1^4 + 7*c_1001_1^3 - 14*c_1001_1^2 + 3*c_1001_1 + 5, c_0110_9 - 2*c_1001_1^4 - 5*c_1001_1^3 + 8*c_1001_1^2 - c_1001_1 - 3, c_1001_1^5 + 3*c_1001_1^4 - 3*c_1001_1^3 - 2*c_1001_1^2 + 2*c_1001_1 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_2, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 836/3*c_1001_1^4 - 160*c_1001_1^3 - 5/3*c_1001_1^2 - 277/3*c_1001_1 - 130/3, c_0011_0 - 1, c_0011_11 - 2*c_1001_1^2 + 1, c_0011_3 + 2*c_1001_1^3 - c_1001_1^2 - c_1001_1 + 1, c_0011_4 - 8*c_1001_1^4 + 6*c_1001_1^3 + c_1001_1^2 - 3*c_1001_1 + 3, c_0011_6 + 4*c_1001_1^4 - 2*c_1001_1^3 - 2*c_1001_1^2 + c_1001_1, c_0011_7 - 2*c_1001_1^3 + c_1001_1^2 + c_1001_1, c_0011_9 - 2*c_1001_1^2 + 1, c_0101_1 - 4*c_1001_1^4 + 3*c_1001_1^2 - c_1001_1, c_0101_10 + 2*c_1001_1^3 - c_1001_1^2 - c_1001_1, c_0101_2 + 4*c_1001_1^4 - c_1001_1^2 + c_1001_1 - 1, c_0110_9 + 2*c_1001_1^3 - c_1001_1^2 - c_1001_1 + 1, c_1001_1^5 - 3/4*c_1001_1^3 + 1/4*c_1001_1^2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.660 Total time: 0.860 seconds, Total memory usage: 32.09MB