Magma V2.19-8 Tue Aug 20 2013 16:18:34 on localhost [Seed = 1225315451] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2750 geometric_solution 5.99011310 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3012 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705537317083 0.858535672309 0 3 4 4 0132 0132 2310 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523270550625 0.369967070538 5 0 6 4 0132 0132 0132 2103 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.417140443728 1.043856410678 5 1 0 0 1023 0132 1230 0132 0 0 0 0 0 0 -1 1 -1 0 0 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 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 0.705537317083 0.858535672309 5 1 1 2 3012 3201 0132 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977208344268 0.480894436813 2 3 6 4 0132 1023 1023 1230 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 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.417140443728 1.043856410678 6 6 5 2 1230 3012 1023 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614535480134 1.681484579339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0110_4']), 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], '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_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' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_0101_0, c_0101_1, c_0101_3, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 689441/3563*c_1001_0^9 - 6546983/3563*c_1001_0^8 - 12561622/3563*c_1001_0^7 - 19211210/3563*c_1001_0^6 - 16562310/3563*c_1001_0^5 - 18614/3563*c_1001_0^4 + 5463769/3563*c_1001_0^3 - 4149927/3563*c_1001_0^2 - 786022/509*c_1001_0 - 1360782/3563, c_0011_0 - 1, c_0011_4 - 10409/509*c_1001_0^9 - 99487/509*c_1001_0^8 - 195404/509*c_1001_0^7 - 298628/509*c_1001_0^6 - 263208/509*c_1001_0^5 - 8115/509*c_1001_0^4 + 87379/509*c_1001_0^3 - 59039/509*c_1001_0^2 - 88376/509*c_1001_0 - 23137/509, c_0101_0 + c_1001_0, c_0101_1 - 9507/509*c_1001_0^9 - 89589/509*c_1001_0^8 - 166907/509*c_1001_0^7 - 254591/509*c_1001_0^6 - 212976/509*c_1001_0^5 + 11135/509*c_1001_0^4 + 71241/509*c_1001_0^3 - 60459/509*c_1001_0^2 - 70058/509*c_1001_0 - 15784/509, c_0101_3 + 6277/509*c_1001_0^9 + 58744/509*c_1001_0^8 + 106536/509*c_1001_0^7 + 162510/509*c_1001_0^6 + 132225/509*c_1001_0^5 - 12433/509*c_1001_0^4 - 43896/509*c_1001_0^3 + 42350/509*c_1001_0^2 + 43107/509*c_1001_0 + 8862/509, c_0110_4 + 6922/509*c_1001_0^9 + 65990/509*c_1001_0^8 + 128361/509*c_1001_0^7 + 195743/509*c_1001_0^6 + 170955/509*c_1001_0^5 + 2313/509*c_1001_0^4 - 56674/509*c_1001_0^3 + 41189/509*c_1001_0^2 + 57524/509*c_1001_0 + 14072/509, c_1001_0^10 + 10*c_1001_0^9 + 23*c_1001_0^8 + 37*c_1001_0^7 + 38*c_1001_0^6 + 12*c_1001_0^5 - 8*c_1001_0^4 + 2*c_1001_0^3 + 11*c_1001_0^2 + 6*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB