Magma V2.19-8 Tue Aug 20 2013 16:15:49 on localhost [Seed = 1629551944] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0044 geometric_solution 3.61096459 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.146548358842 0.031359859138 0 0 2 2 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.653369150922 1.372424597696 3 1 1 3 0132 3201 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.386684247695 0.245223962006 2 2 5 4 0132 2310 0132 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 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 0.514645119756 0.638218937632 6 5 3 5 0132 2031 0132 1302 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745489427115 0.254919936501 4 6 4 3 1302 2310 2031 0132 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 0 -1 1 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 0.745489427115 0.254919936501 4 6 6 5 0132 1230 3012 3201 0 0 0 0 0 1 -1 0 1 0 -1 0 0 1 0 -1 0 1 -1 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 0 0 0 0.799028520061 0.410671918703 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1313904/3535*c_0101_6^9 + 26661/7*c_0101_6^8 - 4231222/505*c_0101_6^7 - 5506078/505*c_0101_6^6 + 14466156/505*c_0101_6^5 + 5565739/505*c_0101_6^4 - 2885292/101*c_0101_6^3 - 2937396/505*c_0101_6^2 + 307287/35*c_0101_6 + 5247506/3535, c_0011_0 - 1, c_0011_2 - 604/707*c_0101_6^9 + 60/7*c_0101_6^8 - 1769/101*c_0101_6^7 - 2833/101*c_0101_6^6 + 5990/101*c_0101_6^5 + 3427/101*c_0101_6^4 - 6110/101*c_0101_6^3 - 2005/101*c_0101_6^2 + 144/7*c_0101_6 + 3414/707, c_0011_4 - 2/707*c_0101_6^9 - 2/7*c_0101_6^8 + 355/101*c_0101_6^7 - 1106/101*c_0101_6^6 + 70/101*c_0101_6^5 + 2936/101*c_0101_6^4 - 1667/101*c_0101_6^3 - 2035/101*c_0101_6^2 + 74/7*c_0101_6 + 2444/707, c_0101_0 - 55/707*c_0101_6^9 + 3/7*c_0101_6^8 + 218/101*c_0101_6^7 - 1226/101*c_0101_6^6 + 6/101*c_0101_6^5 + 2970/101*c_0101_6^4 - 645/101*c_0101_6^3 - 1978/101*c_0101_6^2 + 26/7*c_0101_6 + 1661/707, c_0101_1 - 970/707*c_0101_6^9 + 102/7*c_0101_6^8 - 3666/101*c_0101_6^7 - 2726/101*c_0101_6^6 + 11427/101*c_0101_6^5 + 870/101*c_0101_6^4 - 10191/101*c_0101_6^3 - 407/101*c_0101_6^2 + 190/7*c_0101_6 + 3337/707, c_0101_3 + c_0101_6, c_0101_6^10 - 10*c_0101_6^9 + 20*c_0101_6^8 + 35*c_0101_6^7 - 70*c_0101_6^6 - 49*c_0101_6^5 + 70*c_0101_6^4 + 35*c_0101_6^3 - 20*c_0101_6^2 - 10*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB