Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 4088557356] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1142 geometric_solution 5.00995278 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.165502893783 0.370485436363 2 3 4 0 1302 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 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 1.074133711621 0.110370134189 3 1 0 5 2310 2031 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 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 0.335678926051 0.551665898583 4 1 2 6 2310 0132 3201 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 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 0.591221231142 0.565038741873 6 5 3 1 3012 2310 3201 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.133973746804 0.170331468314 6 6 2 4 1302 2031 0132 3201 0 0 0 0 0 -1 0 1 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 -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 0.511050377346 0.493603292377 5 5 3 4 1302 2031 0132 1230 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 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 -0.010637215725 1.332118041565 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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_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' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_1'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_2, c_0011_5, c_0011_6, c_0101_0, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 36/533*c_0110_5^5 + 51/533*c_0110_5^4 - 249/533*c_0110_5^3 - 566/533*c_0110_5^2 + 35/533*c_0110_5 - 209/533, c_0011_0 - 1, c_0011_1 + 38/533*c_0110_5^5 + 129/533*c_0110_5^4 + 154/533*c_0110_5^3 + 95/533*c_0110_5^2 - 20/533*c_0110_5 + 20/41, c_0011_2 + 43/533*c_0110_5^5 + 160/533*c_0110_5^4 + 34/533*c_0110_5^3 - 159/533*c_0110_5^2 + 314/533*c_0110_5 - 27/41, c_0011_5 + 38/533*c_0110_5^5 + 129/533*c_0110_5^4 + 154/533*c_0110_5^3 + 95/533*c_0110_5^2 + 513/533*c_0110_5 + 20/41, c_0011_6 + 23/533*c_0110_5^5 + 36/533*c_0110_5^4 - 19/533*c_0110_5^3 - 209/533*c_0110_5^2 + 44/533*c_0110_5 - 3/41, c_0101_0 + 8/533*c_0110_5^5 - 57/533*c_0110_5^4 - 192/533*c_0110_5^3 + 20/533*c_0110_5^2 + 108/533*c_0110_5 - 26/41, c_0110_5^6 + 4*c_0110_5^5 + 5*c_0110_5^4 + 2*c_0110_5^3 + 8*c_0110_5^2 + 8*c_0110_5 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB