Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 1427425594] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s830 geometric_solution 5.40283949 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 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 -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 0.453436163754 0.280057535780 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.950163235198 0.705933556650 1 3 4 5 0132 0213 0132 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469621545530 0.671740541746 5 4 2 1 1023 3201 0213 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469621545530 0.671740541746 4 4 3 2 1302 2031 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725920363263 1.209627816136 5 3 2 5 3201 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.097423745132 1.022592215176 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 709903/3135*c_0101_0*c_0101_1^10 - 517498/627*c_0101_0*c_0101_1^9 - 1092530/627*c_0101_0*c_0101_1^8 - 8436911/3135*c_0101_0*c_0101_1^7 - 5642446/3135*c_0101_0*c_0101_1^6 - 153006/209*c_0101_0*c_0101_1^5 - 2402203/3135*c_0101_0*c_0101_1^4 - 4634096/3135*c_0101_0*c_0101_1^3 - 11043778/3135*c_0101_0*c_0101_1^2 - 2564341/3135*c_0101_0*c_0101_1 + 1508209/3135*c_0101_0, c_0011_0 - 1, c_0011_1 - 13843/1045*c_0101_1^10 + 9912/209*c_0101_1^9 + 21924/209*c_0101_1^8 + 171926/1045*c_0101_1^7 + 122326/1045*c_0101_1^6 + 10853/209*c_0101_1^5 + 51503/1045*c_0101_1^4 + 94581/1045*c_0101_1^3 + 222383/1045*c_0101_1^2 + 65941/1045*c_0101_1 - 23334/1045, c_0011_3 - 889/95*c_0101_0*c_0101_1^10 + 7016/209*c_0101_0*c_0101_1^9 + 15436/209*c_0101_0*c_0101_1^8 + 120898/1045*c_0101_0*c_0101_1^7 + 85788/1045*c_0101_0*c_0101_1^6 + 7565/209*c_0101_0*c_0101_1^5 + 36504/1045*c_0101_0*c_0101_1^4 + 65383/1045*c_0101_0*c_0101_1^3 + 155354/1045*c_0101_0*c_0101_1^2 + 44283/1045*c_0101_0*c_0101_1 - 17282/1045*c_0101_0, c_0011_4 - 12554/1045*c_0101_0*c_0101_1^10 + 9026/209*c_0101_0*c_0101_1^9 + 19754/209*c_0101_0*c_0101_1^8 + 154493/1045*c_0101_0*c_0101_1^7 + 107913/1045*c_0101_0*c_0101_1^6 + 9436/209*c_0101_0*c_0101_1^5 + 46114/1045*c_0101_0*c_0101_1^4 + 85953/1045*c_0101_0*c_0101_1^3 + 200889/1045*c_0101_0*c_0101_1^2 + 57033/1045*c_0101_0*c_0101_1 - 21932/1045*c_0101_0, c_0101_0^2 - 13843/1045*c_0101_1^10 + 9912/209*c_0101_1^9 + 21924/209*c_0101_1^8 + 171926/1045*c_0101_1^7 + 122326/1045*c_0101_1^6 + 10853/209*c_0101_1^5 + 51503/1045*c_0101_1^4 + 94581/1045*c_0101_1^3 + 222383/1045*c_0101_1^2 + 65941/1045*c_0101_1 - 24379/1045, c_0101_1^11 - 3*c_0101_1^10 - 10*c_0101_1^9 - 17*c_0101_1^8 - 16*c_0101_1^7 - 9*c_0101_1^6 - 6*c_0101_1^5 - 9*c_0101_1^4 - 20*c_0101_1^3 - 14*c_0101_1^2 - c_0101_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB