Magma V2.19-8 Tue Aug 20 2013 16:19:20 on localhost [Seed = 1410713938] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3445 geometric_solution 6.61515556 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 1 -1 0 0 0 0 0 0 -1 0 1 1 -1 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 0 0 0.810783268797 0.710242946646 0 2 2 4 0132 2031 1230 0132 0 0 0 0 0 1 -1 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 0 -1 1 0 0 0 1 -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 0.886302534795 0.902503696847 1 0 4 1 1302 0132 2310 3012 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 1 0 -1 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 0.886302534795 0.902503696847 5 0 6 0 0132 2310 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780070347108 0.517156630206 5 2 1 6 2103 3201 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.992683891220 0.542752285406 3 6 4 6 0132 0213 2103 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534627443475 0.977123831734 5 4 5 3 3012 0321 0213 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534627443475 0.977123831734 ==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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_1001_2']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + c_1001_2^4 + 3*c_1001_2^3 - 1/2*c_1001_2^2 - 6*c_1001_2 - 5/2, c_0011_0 - 1, c_0011_3 - c_1001_2^4 - 2*c_1001_2^3 + c_1001_2^2 + 2*c_1001_2 + 1, c_0011_4 - c_1001_2^3 - c_1001_2^2 + 2*c_1001_2, c_0011_6 - 1, c_0101_0 + c_1001_2, c_0101_1 + c_1001_2^4 + 2*c_1001_2^3 - c_1001_2^2 - 2*c_1001_2, c_1001_2^5 + 3*c_1001_2^4 - 4*c_1001_2^2 - c_1001_2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 14069051/78172*c_1001_2^11 + 157954359/78172*c_1001_2^10 + 753644619/78172*c_1001_2^9 + 514826400/19543*c_1001_2^8 + 1887006129/39086*c_1001_2^7 + 2600948771/39086*c_1001_2^6 + 2780118113/39086*c_1001_2^5 + 1128853229/19543*c_1001_2^4 + 2890341703/78172*c_1001_2^3 + 1372847157/78172*c_1001_2^2 + 431083849/78172*c_1001_2 + 103915439/78172, c_0011_0 - 1, c_0011_3 + 1643/19543*c_1001_2^11 + 21626/19543*c_1001_2^10 + 118855/19543*c_1001_2^9 + 359798/19543*c_1001_2^8 + 680495/19543*c_1001_2^7 + 893212/19543*c_1001_2^6 + 874143/19543*c_1001_2^5 + 594720/19543*c_1001_2^4 + 240091/19543*c_1001_2^3 + 58990/19543*c_1001_2^2 - 17589/19543*c_1001_2 - 11929/19543, c_0011_4 - 3725/19543*c_1001_2^11 - 38789/19543*c_1001_2^10 - 169195/19543*c_1001_2^9 - 415939/19543*c_1001_2^8 - 672562/19543*c_1001_2^7 - 784503/19543*c_1001_2^6 - 636085/19543*c_1001_2^5 - 321797/19543*c_1001_2^4 - 81843/19543*c_1001_2^3 + 44429/19543*c_1001_2^2 + 18039/19543*c_1001_2 + 4041/19543, c_0011_6 - 46/19543*c_1001_2^11 - 1224/19543*c_1001_2^10 - 10405/19543*c_1001_2^9 - 47066/19543*c_1001_2^8 - 133622/19543*c_1001_2^7 - 249104/19543*c_1001_2^6 - 310601/19543*c_1001_2^5 - 281070/19543*c_1001_2^4 - 188592/19543*c_1001_2^3 - 59329/19543*c_1001_2^2 - 8607/19543*c_1001_2 + 13549/19543, c_0101_0 + c_1001_2, c_0101_1 + 1539/19543*c_1001_2^11 + 18009/19543*c_1001_2^10 + 85984/19543*c_1001_2^9 + 216851/19543*c_1001_2^8 + 317215/19543*c_1001_2^7 + 280738/19543*c_1001_2^6 + 123482/19543*c_1001_2^5 - 61985/19543*c_1001_2^4 - 130211/19543*c_1001_2^3 - 81093/19543*c_1001_2^2 - 18355/19543*c_1001_2 + 3409/19543, c_1001_2^12 + 11*c_1001_2^11 + 51*c_1001_2^10 + 134*c_1001_2^9 + 234*c_1001_2^8 + 306*c_1001_2^7 + 306*c_1001_2^6 + 224*c_1001_2^5 + 125*c_1001_2^4 + 45*c_1001_2^3 + 5*c_1001_2^2 - c_1001_2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB