Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 4172899780] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3528 geometric_solution 6.86885990 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 -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 0.563293629362 1.134179098276 0 2 2 5 0132 2031 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 -1 1 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 0.605680842808 0.896790388068 1 0 5 1 1302 0132 2310 3012 0 0 0 0 0 0 0 0 0 0 -1 1 -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 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 0.605680842808 0.896790388068 6 4 4 0 0132 3012 2031 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 -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 0.605680842808 0.896790388068 3 6 0 3 1230 2310 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.605680842808 0.896790388068 6 2 1 6 2103 3201 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967900140985 0.820532927760 3 5 5 4 0132 0321 2103 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.967900140985 0.820532927760 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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_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' : 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' : 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_5'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], '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_3'], 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), '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_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : negation(d['c_0101_3']), '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_5, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 5/4*c_1001_2^6 - 25/4*c_1001_2^5 + 37/4*c_1001_2^4 - 7/4*c_1001_2^3 - 15/2*c_1001_2^2 + 23/2*c_1001_2 - 15/2, c_0011_0 - 1, c_0011_3 + 1/2*c_1001_2^5 - c_1001_2^4 - 1/2*c_1001_2^3 + c_1001_2^2 - c_1001_2, c_0011_5 + 1/2*c_1001_2^5 - c_1001_2^4 - 1/2*c_1001_2^3 + c_1001_2^2 - c_1001_2, c_0101_0 + c_1001_2, c_0101_1 + 1/2*c_1001_2^6 - 3/2*c_1001_2^5 + 1/2*c_1001_2^4 + 3/2*c_1001_2^3 - 2*c_1001_2^2 + c_1001_2, c_0101_3 + 1, c_1001_2^7 - 4*c_1001_2^6 + 4*c_1001_2^5 - 3*c_1001_2^3 + 6*c_1001_2^2 - 2*c_1001_2 + 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 620038/141*c_1001_2^9 - 5440762/141*c_1001_2^8 + 17376397/141*c_1001_2^7 - 7996830/47*c_1001_2^6 + 10101743/141*c_1001_2^5 + 10332907/141*c_1001_2^4 - 6871784/47*c_1001_2^3 + 18302315/141*c_1001_2^2 - 2347456/47*c_1001_2 + 2756098/141, c_0011_0 - 1, c_0011_3 - 18/47*c_1001_2^9 + 148/47*c_1001_2^8 - 451/47*c_1001_2^7 + 642/47*c_1001_2^6 - 358/47*c_1001_2^5 - 220/47*c_1001_2^4 + 568/47*c_1001_2^3 - 501/47*c_1001_2^2 + 279/47*c_1001_2 - 50/47, c_0011_5 + 46/47*c_1001_2^9 - 373/47*c_1001_2^8 + 1069/47*c_1001_2^7 - 1249/47*c_1001_2^6 + 236/47*c_1001_2^5 + 886/47*c_1001_2^4 - 1180/47*c_1001_2^3 + 732/47*c_1001_2^2 - 196/47*c_1001_2 + 39/47, c_0101_0 + c_1001_2, c_0101_1 - 5/47*c_1001_2^9 + 62/47*c_1001_2^8 - 248/47*c_1001_2^7 + 335/47*c_1001_2^6 + 52/47*c_1001_2^5 - 364/47*c_1001_2^4 + 210/47*c_1001_2^3 - 100/47*c_1001_2^2 - 87/47*c_1001_2 + 7/47, c_0101_3 + 27/47*c_1001_2^9 - 222/47*c_1001_2^8 + 653/47*c_1001_2^7 - 822/47*c_1001_2^6 + 302/47*c_1001_2^5 + 424/47*c_1001_2^4 - 805/47*c_1001_2^3 + 587/47*c_1001_2^2 - 207/47*c_1001_2 + 28/47, c_1001_2^10 - 9*c_1001_2^9 + 30*c_1001_2^8 - 45*c_1001_2^7 + 25*c_1001_2^6 + 13*c_1001_2^5 - 37*c_1001_2^4 + 37*c_1001_2^3 - 18*c_1001_2^2 + 7*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB