Magma V2.19-8 Tue Aug 20 2013 17:57:00 on localhost [Seed = 2210543505] Type ? for help. Type -D to quit. Loading file "11_323__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_323 geometric_solution 10.76387676 oriented_manifold CS_known 0.0000000000000001 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 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 1 -1 -1 -12 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901290779825 0.924716334262 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 -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 0.654663722458 0.514651947583 8 0 10 9 0132 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 0 -12 0 0 12 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.459471592090 0.554577345198 11 10 7 0 0132 3120 3120 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 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 0.114135314548 1.069229292781 8 11 0 5 1302 2103 0132 1302 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 -1 0 -1 0 1 0 0 1 0 -1 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055933991121 0.742160277787 7 1 4 9 0321 0132 2031 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0.603607257683 0.659136305010 11 8 1 7 2103 0213 0132 0321 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 -1 0 0 1 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603607257683 0.659136305010 5 6 3 1 0321 0321 3120 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 -1 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 0.899023447521 1.339807597054 2 4 6 9 0132 2031 0213 1230 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 12 1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750010255581 0.348604002029 8 10 2 5 3012 3012 0132 1023 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 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114135314548 1.069229292781 9 3 11 2 1230 3120 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114135314548 1.069229292781 3 4 6 10 0132 2103 2103 1302 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 1 0 -1 0 0 1 1 -1 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899023447521 1.339807597054 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_7']), 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0110_4']), 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : d['c_0110_9'], 'c_1100_5' : d['c_1010_11'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_1010_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_1010_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : negation(d['c_1010_11']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_4'], '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' : negation(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' : d['c_0011_0'], '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_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_9'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), '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_0011_9'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0011_4'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1010_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10']})} 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_10, c_0011_11, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_3, c_0101_5, c_0110_4, c_0110_9, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 123/64*c_1010_11^4 + 25/32*c_1010_11^3 + 51/32*c_1010_11^2 - 399/64*c_1010_11 + 81/64, c_0011_0 - 1, c_0011_10 + c_1010_11^4 - c_1010_11^2 + 2*c_1010_11, c_0011_11 - c_1010_11, c_0011_4 - c_1010_11, c_0011_7 - c_1010_11^4 + c_1010_11^3 + c_1010_11^2 - 3*c_1010_11 + 2, c_0011_9 - c_1010_11^4 + c_1010_11^2 - 2*c_1010_11, c_0101_0 - c_1010_11^4 + c_1010_11^3 + c_1010_11^2 - 3*c_1010_11 + 1, c_0101_3 - 1, c_0101_5 - c_1010_11^4 + c_1010_11^3 + c_1010_11^2 - 3*c_1010_11 + 1, c_0110_4 + c_1010_11^4 - c_1010_11^3 - c_1010_11^2 + 3*c_1010_11 - 2, c_0110_9 - 1, c_1010_11^5 - c_1010_11^4 + 3*c_1010_11^2 - 2*c_1010_11 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_3, c_0101_5, c_0110_4, c_0110_9, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 37/85*c_1010_11^5 - 70/17*c_1010_11^4 + 53/170*c_1010_11^3 + 2171/170*c_1010_11^2 - 43/34*c_1010_11 - 2711/170, c_0011_0 - 1, c_0011_10 + 1/34*c_1010_11^5 - 4/17*c_1010_11^4 + 11/34*c_1010_11^3 + 15/34*c_1010_11^2 - 1/34*c_1010_11 + 12/17, c_0011_11 - 5/34*c_1010_11^5 + 3/17*c_1010_11^4 + 13/34*c_1010_11^3 - 7/34*c_1010_11^2 + 5/34*c_1010_11 + 8/17, c_0011_4 - 5/34*c_1010_11^5 + 3/17*c_1010_11^4 + 13/34*c_1010_11^3 - 7/34*c_1010_11^2 + 5/34*c_1010_11 + 8/17, c_0011_7 - 9/34*c_1010_11^5 + 2/17*c_1010_11^4 + 3/34*c_1010_11^3 + 1/34*c_1010_11^2 + 9/34*c_1010_11 + 11/17, c_0011_9 - 1/34*c_1010_11^5 + 4/17*c_1010_11^4 - 11/34*c_1010_11^3 - 15/34*c_1010_11^2 + 1/34*c_1010_11 - 12/17, c_0101_0 + 5/34*c_1010_11^5 + 11/34*c_1010_11^4 - 13/34*c_1010_11^3 - 5/17*c_1010_11^2 + 6/17*c_1010_11 - 33/34, c_0101_3 + 5/34*c_1010_11^5 - 3/17*c_1010_11^4 - 13/34*c_1010_11^3 + 7/34*c_1010_11^2 - 5/34*c_1010_11 + 9/17, c_0101_5 - 9/34*c_1010_11^5 + 2/17*c_1010_11^4 + 3/34*c_1010_11^3 + 1/34*c_1010_11^2 + 9/34*c_1010_11 - 6/17, c_0110_4 + 1/17*c_1010_11^5 + 1/34*c_1010_11^4 - 6/17*c_1010_11^3 + 13/34*c_1010_11^2 + 15/34*c_1010_11 - 3/34, c_0110_9 + 5/34*c_1010_11^5 - 3/17*c_1010_11^4 - 13/34*c_1010_11^3 + 7/34*c_1010_11^2 - 5/34*c_1010_11 + 9/17, c_1010_11^6 - 2*c_1010_11^4 + c_1010_11^3 - c_1010_11 + 5 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_3, c_0101_5, c_0110_4, c_0110_9, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 77/20*c_1010_11^5 - 121/10*c_1010_11^4 - 539/20*c_1010_11^3 - 116/5*c_1010_11^2 - 88/5*c_1010_11 + 43/10, c_0011_0 - 1, c_0011_10 + c_1010_11^5 + 3*c_1010_11^4 + 7*c_1010_11^3 + 7*c_1010_11^2 + 6*c_1010_11 + 1, c_0011_11 - c_1010_11, c_0011_4 - c_1010_11^3 - 3*c_1010_11^2 - 4*c_1010_11 - 2, c_0011_7 + c_1010_11^5 + 4*c_1010_11^4 + 9*c_1010_11^3 + 10*c_1010_11^2 + 7*c_1010_11 + 2, c_0011_9 - c_1010_11^4 - 3*c_1010_11^3 - 6*c_1010_11^2 - 5*c_1010_11 - 2, c_0101_0 - c_1010_11^5 - 4*c_1010_11^4 - 10*c_1010_11^3 - 12*c_1010_11^2 - 10*c_1010_11 - 2, c_0101_3 + c_1010_11 + 1, c_0101_5 - c_1010_11^5 - 3*c_1010_11^4 - 6*c_1010_11^3 - 5*c_1010_11^2 - 3*c_1010_11, c_0110_4 + c_1010_11^5 + 4*c_1010_11^4 + 10*c_1010_11^3 + 12*c_1010_11^2 + 11*c_1010_11 + 3, c_0110_9 - 1, c_1010_11^6 + 4*c_1010_11^5 + 10*c_1010_11^4 + 13*c_1010_11^3 + 12*c_1010_11^2 + 5*c_1010_11 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_3, c_0101_5, c_0110_4, c_0110_9, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 23/5*c_1010_11^5 - 191/10*c_1010_11^4 - 477/10*c_1010_11^3 - 627/10*c_1010_11^2 - 273/5*c_1010_11 - 207/10, c_0011_0 - 1, c_0011_10 + c_1010_11^4 + 3*c_1010_11^3 + 6*c_1010_11^2 + 5*c_1010_11 + 2, c_0011_11 - c_1010_11^3 - 3*c_1010_11^2 - 4*c_1010_11 - 2, c_0011_4 - c_1010_11, c_0011_7 + c_1010_11^5 + 4*c_1010_11^4 + 9*c_1010_11^3 + 10*c_1010_11^2 + 7*c_1010_11 + 2, c_0011_9 - c_1010_11^5 - 3*c_1010_11^4 - 7*c_1010_11^3 - 7*c_1010_11^2 - 6*c_1010_11 - 1, c_0101_0 - c_1010_11^5 - 4*c_1010_11^4 - 10*c_1010_11^3 - 12*c_1010_11^2 - 10*c_1010_11 - 2, c_0101_3 - 1, c_0101_5 - c_1010_11^5 - 4*c_1010_11^4 - 10*c_1010_11^3 - 12*c_1010_11^2 - 10*c_1010_11 - 2, c_0110_4 - c_1010_11^5 - 4*c_1010_11^4 - 9*c_1010_11^3 - 10*c_1010_11^2 - 7*c_1010_11 - 2, c_0110_9 + c_1010_11 + 1, c_1010_11^6 + 4*c_1010_11^5 + 10*c_1010_11^4 + 13*c_1010_11^3 + 12*c_1010_11^2 + 5*c_1010_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.520 Total time: 0.730 seconds, Total memory usage: 32.09MB