Magma V2.19-8 Tue Aug 20 2013 16:18:30 on localhost [Seed = 3616951012] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2692 geometric_solution 5.94883427 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 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 1 -1 0 0 0 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 0.474993128312 1.082150618405 0 3 4 4 0132 0132 3012 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 0.436127963869 0.309478045356 3 4 0 3 3120 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 0.015970774793 0.838599586258 2 1 5 2 3201 0132 0132 3120 0 0 0 0 0 0 1 -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 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 0.931846602168 1.261587347819 2 1 1 5 1023 1230 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.462999032580 1.163634186609 4 6 6 3 3120 0132 3201 0132 0 0 0 0 0 1 0 -1 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 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 0.388284758860 0.437723941142 5 5 6 6 2310 0132 1230 3012 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 -1 1 0 0 0 1 -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 1.758755288574 0.842512383175 ==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_0101_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_5'], '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_5, c_0101_0, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 47/3*c_0101_6^2 - 16/3*c_0101_6 - 136/3, c_0011_0 - 1, c_0011_2 + c_0101_6, c_0011_5 - c_0101_6^2 + 1, c_0101_0 - c_0101_6, c_0101_3 - c_0101_6 - 1, c_0101_5 + 1, c_0101_6^3 - 3*c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 213806/15441*c_0101_6^7 + 56287/15441*c_0101_6^6 - 650927/15441*c_0101_6^5 + 2720578/15441*c_0101_6^4 - 1556959/15441*c_0101_6^3 + 928499/15441*c_0101_6^2 - 699532/15441*c_0101_6 + 909499/15441, c_0011_0 - 1, c_0011_2 - 1223/5147*c_0101_6^7 - 912/5147*c_0101_6^6 - 4307/5147*c_0101_6^5 + 11742/5147*c_0101_6^4 + 4609/5147*c_0101_6^3 + 9004/5147*c_0101_6^2 - 2472/5147*c_0101_6 + 2350/5147, c_0011_5 - 213/5147*c_0101_6^7 - 1131/5147*c_0101_6^6 - 990/5147*c_0101_6^5 - 236/5147*c_0101_6^4 + 12031/5147*c_0101_6^3 + 1888/5147*c_0101_6^2 - 763/5147*c_0101_6 - 2402/5147, c_0101_0 - 1827/5147*c_0101_6^7 - 567/5147*c_0101_6^6 - 5302/5147*c_0101_6^5 + 20811/5147*c_0101_6^4 + 38/5147*c_0101_6^3 + 3363/5147*c_0101_6^2 - 7632/5147*c_0101_6 + 4407/5147, c_0101_3 + 736/5147*c_0101_6^7 - 659/5147*c_0101_6^6 + 1826/5147*c_0101_6^5 - 11460/5147*c_0101_6^4 + 9149/5147*c_0101_6^3 - 966/5147*c_0101_6^2 + 9185/5147*c_0101_6 + 84/5147, c_0101_5 - 527/5147*c_0101_6^7 - 696/5147*c_0101_6^6 - 1797/5147*c_0101_6^5 + 3814/5147*c_0101_6^4 + 5820/5147*c_0101_6^3 + 370/5147*c_0101_6^2 + 1906/5147*c_0101_6 - 2270/5147, c_0101_6^8 + 3*c_0101_6^6 - 12*c_0101_6^5 + 4*c_0101_6^4 - 3*c_0101_6^3 + 3*c_0101_6^2 - 4*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB