Magma V2.19-8 Tue Aug 20 2013 16:15:50 on localhost [Seed = 3381155299] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0054 geometric_solution 3.61722871 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 1023 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 -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 0.329647738743 0.149218656413 0 0 1 1 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446528309831 0.037489741653 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 1 -1 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 1 -1 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 -3.750232264628 10.697976421800 2 4 5 6 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 -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 0.266351495930 0.503440700109 6 5 3 2 0132 0213 2310 0132 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 -1 0 1 1 0 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 0.209760427314 0.101117079659 6 6 4 3 3201 3120 0213 0132 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 0 0 0 0 0 0 1 -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 0.796602723227 0.408813146033 4 5 3 5 0132 3120 0132 2310 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 -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 0.796602723227 0.408813146033 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : negation(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' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 10777/3584*c_0101_2*c_1001_4^7 + 55431/3584*c_0101_2*c_1001_4^6 + 67163/3584*c_0101_2*c_1001_4^5 - 16753/3584*c_0101_2*c_1001_4^4 + 24681/1792*c_0101_2*c_1001_4^3 - 62093/1792*c_0101_2*c_1001_4^2 + 33367/3584*c_0101_2*c_1001_4 - 1/3584*c_0101_2, c_0011_0 - 1, c_0011_4 - 43/224*c_0101_2*c_1001_4^7 - 325/224*c_0101_2*c_1001_4^6 - 913/224*c_0101_2*c_1001_4^5 - 1277/224*c_0101_2*c_1001_4^4 - 747/112*c_0101_2*c_1001_4^3 - 617/112*c_0101_2*c_1001_4^2 - 325/224*c_0101_2*c_1001_4 - 397/224*c_0101_2, c_0011_5 - 3/28*c_1001_4^7 - 9/28*c_1001_4^6 + 19/28*c_1001_4^5 + 75/28*c_1001_4^4 + 27/14*c_1001_4^3 + 81/14*c_1001_4^2 + 19/28*c_1001_4 + 55/28, c_0101_0 - 11/56*c_1001_4^7 - 61/56*c_1001_4^6 - 89/56*c_1001_4^5 - 5/56*c_1001_4^4 - 27/28*c_1001_4^3 + 31/28*c_1001_4^2 - 5/56*c_1001_4 - 13/56, c_0101_1 + 45/56*c_0101_2*c_1001_4^7 + 261/56*c_0101_2*c_1001_4^6 + 471/56*c_0101_2*c_1001_4^5 + 345/56*c_0101_2*c_1001_4^4 + 295/28*c_0101_2*c_1001_4^3 - 53/28*c_0101_2*c_1001_4^2 + 191/56*c_0101_2*c_1001_4 - 27/56*c_0101_2, c_0101_2^2 - 3/7*c_1001_4^7 - 16/7*c_1001_4^6 - 23/7*c_1001_4^5 - 9/7*c_1001_4^4 - 30/7*c_1001_4^3 + 36/7*c_1001_4^2 - 16/7*c_1001_4 + 13/7, c_1001_4^8 + 6*c_1001_4^7 + 12*c_1001_4^6 + 12*c_1001_4^5 + 19*c_1001_4^4 + 4*c_1001_4^3 + 9*c_1001_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB