Magma V2.19-8 Tue Aug 20 2013 16:14:04 on localhost [Seed = 88381753] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s009 geometric_solution 3.49388160 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 1023 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 1 -1 0 0 0 0 1 -1 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033363686755 0.528165302919 0 2 0 3 0132 3012 1023 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 -1 1 -1 1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.880874490216 1.885821594682 1 0 3 0 1230 0132 3201 1023 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.880874490216 1.885821594682 2 4 1 4 2310 0132 0132 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 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 0.207292608705 0.838584158175 5 3 5 3 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602828933355 0.109229699309 4 5 4 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609553654278 0.031992360994 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : negation(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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), '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_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2859/448*c_0101_4*c_0101_5^4 - 7283/448*c_0101_4*c_0101_5^3 - 17699/224*c_0101_4*c_0101_5^2 - 22189/448*c_0101_4*c_0101_5 - 5095/112*c_0101_4, c_0011_0 - 1, c_0011_3 - 1/7*c_0101_5^4 - 1/7*c_0101_5^3 - 9/7*c_0101_5^2 + 5/7*c_0101_5 - 1/7, c_0101_1 + 1/14*c_0101_4*c_0101_5^4 + 5/14*c_0101_4*c_0101_5^3 + 9/7*c_0101_4*c_0101_5^2 + 37/14*c_0101_4*c_0101_5 + 8/7*c_0101_4, c_0101_2 + 2/7*c_0101_4*c_0101_5^4 + 5/7*c_0101_4*c_0101_5^3 + 23/7*c_0101_4*c_0101_5^2 + 11/7*c_0101_4*c_0101_5 + 1/7*c_0101_4, c_0101_4^2 + 1/7*c_0101_5^4 + 1/7*c_0101_5^3 + 2/7*c_0101_5^2 - 5/7*c_0101_5 + 1/7, c_0101_5^5 + 2*c_0101_5^4 + 11*c_0101_5^3 + c_0101_5^2 + 3*c_0101_5 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB