Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 3650635010] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1720 geometric_solution 5.43025735 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 -1 0 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 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942635749954 0.454506084180 0 4 5 3 0132 0132 0132 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517221446888 0.648162375952 6 0 0 6 0132 0132 1023 3201 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 -1 1 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 1.151369257817 0.209615824200 5 1 0 4 2310 1302 0132 0132 0 0 0 0 0 0 -1 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 0 0 0 -1 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 0.517221446888 0.648162375952 4 1 3 4 3012 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0.517221446888 0.648162375952 5 5 3 1 1230 3012 3201 0132 0 0 0 0 0 1 0 -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 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 0.247822850333 0.942599985746 2 2 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.436042219610 0.175499128238 ==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' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_5']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], '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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 27050495/965247*c_0101_6^17 - 783492287/965247*c_0101_6^15 + 182855168/31137*c_0101_6^13 - 140468897/10379*c_0101_6^11 + 14117803169/965247*c_0101_6^9 - 6951819470/965247*c_0101_6^7 + 72147551/965247*c_0101_6^5 + 13214533/9021*c_0101_6^3 - 405287117/965247*c_0101_6, c_0011_0 - 1, c_0011_3 + 531070/321749*c_0101_6^16 - 15763599/321749*c_0101_6^14 + 3949305/10379*c_0101_6^12 - 10936515/10379*c_0101_6^10 + 481597436/321749*c_0101_6^8 - 391649870/321749*c_0101_6^6 + 179128555/321749*c_0101_6^4 - 348818/3007*c_0101_6^2 + 1411344/321749, c_0011_5 - 531070/321749*c_0101_6^16 + 15763599/321749*c_0101_6^14 - 3949305/10379*c_0101_6^12 + 10936515/10379*c_0101_6^10 - 481597436/321749*c_0101_6^8 + 391649870/321749*c_0101_6^6 - 179128555/321749*c_0101_6^4 + 348818/3007*c_0101_6^2 - 1089595/321749, c_0101_0 - 108975/321749*c_0101_6^17 + 3313607/321749*c_0101_6^15 - 885662/10379*c_0101_6^13 + 2821179/10379*c_0101_6^11 - 146329216/321749*c_0101_6^9 + 141293573/321749*c_0101_6^7 - 77864618/321749*c_0101_6^5 + 198448/3007*c_0101_6^3 - 1436875/321749*c_0101_6, c_0101_2 + 44357/321749*c_0101_6^16 - 1301522/321749*c_0101_6^14 + 314754/10379*c_0101_6^12 - 783136/10379*c_0101_6^10 + 26869823/321749*c_0101_6^8 - 12479618/321749*c_0101_6^6 - 125164/321749*c_0101_6^4 + 20132/3007*c_0101_6^2 - 430724/321749, c_0101_4 + 2039245/321749*c_0101_6^17 - 60072670/321749*c_0101_6^15 + 14736768/10379*c_0101_6^13 - 38885436/10379*c_0101_6^11 + 1623562113/321749*c_0101_6^9 - 1245932013/321749*c_0101_6^7 + 530779618/321749*c_0101_6^5 - 934714/3007*c_0101_6^3 + 2163854/321749*c_0101_6, c_0101_6^18 - 30*c_0101_6^16 + 240*c_0101_6^14 - 713*c_0101_6^12 + 1120*c_0101_6^10 - 1050*c_0101_6^8 + 600*c_0101_6^6 - 196*c_0101_6^4 + 30*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB