Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 3600239576] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3400 geometric_solution 6.56538544 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 0 1 -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 -0.005600550863 0.553892031821 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 -1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578335476825 1.483797357813 5 0 6 1 0132 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578335476825 1.483797357813 5 1 4 5 1023 0132 1302 0132 0 0 0 0 0 1 0 -1 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 -1 1 -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 0.343104784607 0.770790560615 3 6 1 6 2031 3201 0132 2310 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 1 0 -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 0.523602804887 0.528923858554 2 3 3 6 0132 1023 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343104784607 0.770790560615 4 5 4 2 3201 1302 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523602804887 0.528923858554 ==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' : d['c_0011_4'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), '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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0011_4']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_6']), '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' : d['c_0011_6'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_6']), '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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 24794/611*c_0101_6^8 + 39915/1222*c_0101_6^7 + 15546/611*c_0101_6^6 - 28725/1222*c_0101_6^5 + 26785/611*c_0101_6^4 - 17753/1222*c_0101_6^3 - 27767/1222*c_0101_6^2 + 432/611*c_0101_6 + 13089/1222, c_0011_0 - 1, c_0011_4 - 11836/611*c_0101_6^8 - 3557/611*c_0101_6^7 + 6717/611*c_0101_6^6 + 460/611*c_0101_6^5 + 10774/611*c_0101_6^4 + 6843/611*c_0101_6^3 - 2690/611*c_0101_6^2 - 5688/611*c_0101_6 - 2004/611, c_0011_6 - 11836/611*c_0101_6^8 - 3557/611*c_0101_6^7 + 6717/611*c_0101_6^6 + 460/611*c_0101_6^5 + 10774/611*c_0101_6^4 + 6843/611*c_0101_6^3 - 2690/611*c_0101_6^2 - 5688/611*c_0101_6 - 2004/611, c_0101_0 + 13376/611*c_0101_6^8 + 3695/611*c_0101_6^7 - 10730/611*c_0101_6^6 - 270/611*c_0101_6^5 - 11876/611*c_0101_6^4 - 8785/611*c_0101_6^3 + 6095/611*c_0101_6^2 + 7164/611*c_0101_6 + 2292/611, c_0101_1 + 10967/611*c_0101_6^8 + 9336/611*c_0101_6^7 - 9502/611*c_0101_6^6 - 5237/611*c_0101_6^5 - 7874/611*c_0101_6^4 - 12634/611*c_0101_6^3 + 2798/611*c_0101_6^2 + 9586/611*c_0101_6 + 3465/611, c_0101_2 - c_0101_6, c_0101_6^9 + 9/11*c_0101_6^8 - 6/11*c_0101_6^7 - 5/11*c_0101_6^6 - 10/11*c_0101_6^5 - 12/11*c_0101_6^4 + 8/11*c_0101_6^2 + 5/11*c_0101_6 + 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB