Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 1696921686] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2829 geometric_solution 6.05021150 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 1 -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 0.653982392269 1.287999174573 0 3 5 4 0132 0132 0132 0132 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 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 0.517886977037 1.424273582705 3 0 4 5 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 -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 0.517886977037 1.424273582705 3 1 2 3 3201 0132 3201 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110003114864 0.537876807557 2 6 1 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721690236880 0.749479359588 5 5 2 1 1302 2031 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 -1 0 -1 0 1 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 0.150845112118 0.632323457341 6 4 6 4 2031 0132 1302 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 0.530681642933 0.156220351439 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 13975405/19256*c_0101_2*c_0110_6^7 - 5646359/664*c_0101_2*c_0110_6^6 - 448883559/19256*c_0101_2*c_0110_6^5 - 78488621/2407*c_0101_2*c_0110_6^4 - 223817903/9628*c_0101_2*c_0110_6^3 - 185027747/9628*c_0101_2*c_0110_6^2 - 276188447/19256*c_0101_2*c_0110_6 - 35686035/9628*c_0101_2, c_0011_0 - 1, c_0011_4 + 7525/9628*c_0101_2*c_0110_6^7 + 2943/332*c_0101_2*c_0110_6^6 + 210383/9628*c_0101_2*c_0110_6^5 + 66748/2407*c_0101_2*c_0110_6^4 + 80425/4814*c_0101_2*c_0110_6^3 + 81747/4814*c_0101_2*c_0110_6^2 + 102151/9628*c_0101_2*c_0110_6 + 9485/4814*c_0101_2, c_0011_5 - 13513/9628*c_0101_2*c_0110_6^7 - 5393/332*c_0101_2*c_0110_6^6 - 413197/9628*c_0101_2*c_0110_6^5 - 282159/4814*c_0101_2*c_0110_6^4 - 192547/4814*c_0101_2*c_0110_6^3 - 167525/4814*c_0101_2*c_0110_6^2 - 230431/9628*c_0101_2*c_0110_6 - 15575/2407*c_0101_2, c_0101_0 - 1119/9628*c_0110_6^7 - 105/83*c_0110_6^6 - 6221/2407*c_0110_6^5 - 18963/9628*c_0110_6^4 + 1789/2407*c_0110_6^3 + 599/2407*c_0110_6^2 - 399/9628*c_0110_6 + 4109/9628, c_0101_1 - 1545/4814*c_0110_6^7 - 577/166*c_0110_6^6 - 34325/4814*c_0110_6^5 - 16850/2407*c_0110_6^4 - 3294/2407*c_0110_6^3 - 8445/2407*c_0110_6^2 - 4113/4814*c_0110_6 + 1859/2407, c_0101_2^2 + 12611/5030630*c_0110_6^7 + 6344/86735*c_0110_6^6 + 72992/132385*c_0110_6^5 + 5378281/5030630*c_0110_6^4 + 3316069/2515315*c_0110_6^3 - 27829/503063*c_0110_6^2 - 78169/1006126*c_0110_6 - 557319/5030630, c_0110_6^8 + 11*c_0110_6^7 + 24*c_0110_6^6 + 25*c_0110_6^5 + 7*c_0110_6^4 + 12*c_0110_6^3 + 5*c_0110_6^2 - 4*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB