Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 1865348028] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1369 geometric_solution 5.22882748 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 0 1 -1 1 0 0 -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 0.508281444743 0.795747397466 0 3 2 4 0132 0132 1230 0132 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 0 0 0 0 -1 0 0 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 0.949662129272 0.961327996238 3 0 4 1 2310 0132 0132 3012 0 0 0 0 0 1 -1 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 -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 0.949662129272 0.961327996238 3 1 2 3 3201 0132 3201 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209078846693 0.732308858067 5 5 1 2 0132 2310 0132 0132 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 -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 0.421282640313 1.082614607094 4 6 6 4 0132 0132 3201 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 -0.452770540951 0.355444549425 5 5 6 6 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.575553830168 0.340433383029 ==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' : negation(d['1']), 's_2_0' : negation(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_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2*c_0101_3^3 - 4*c_0101_3, c_0011_0 - 1, c_0011_4 - c_0101_3, c_0101_0 + 2*c_0101_3^2 - 2, c_0101_1 - 1, c_0101_2 - 2*c_0101_3^3 + 3*c_0101_3, c_0101_3^4 - 2*c_0101_3^2 + 1/2, c_0101_6 + 1 ], 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_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 195118923/5359516*c_0101_3*c_0101_6^10 - 935061333/5359516*c_0101_3*c_0101_6^9 - 68306401/2679758*c_0101_3*c_0101_6^8 + 871422243/1339879*c_0101_3*c_0101_6^7 + 7616531535/5359516*c_0101_3*c_0101_6^6 + 6881724815/5359516*c_0101_3*c_0101_6^5 + 958740941/5359516*c_0101_3*c_0101_6^4 + 429978958/1339879*c_0101_3*c_0101_6^3 - 325699411/5359516*c_0101_3*c_0101_6^2 + 308332135/5359516*c_0101_3*c_0101_6 + 353069321/5359516*c_0101_3, c_0011_0 - 1, c_0011_4 - 216076/1339879*c_0101_3*c_0101_6^10 - 815546/1339879*c_0101_3*c_0101_6^9 + 763551/1339879*c_0101_3*c_0101_6^8 + 3436428/1339879*c_0101_3*c_0101_6^7 + 4858230/1339879*c_0101_3*c_0101_6^6 + 1687921/1339879*c_0101_3*c_0101_6^5 - 2940226/1339879*c_0101_3*c_0101_6^4 + 1821826/1339879*c_0101_3*c_0101_6^3 - 4382778/1339879*c_0101_3*c_0101_6^2 + 1136307/1339879*c_0101_3*c_0101_6 + 337084/1339879*c_0101_3, c_0101_0 + 1458429/5359516*c_0101_6^10 + 5840847/5359516*c_0101_6^9 - 2173783/2679758*c_0101_6^8 - 6537117/1339879*c_0101_6^7 - 36030261/5359516*c_0101_6^6 - 9351609/5359516*c_0101_6^5 + 25718921/5359516*c_0101_6^4 - 3429981/1339879*c_0101_6^3 + 15913181/5359516*c_0101_6^2 + 801063/5359516*c_0101_6 + 1751917/5359516, c_0101_1 + 206884/1339879*c_0101_6^10 + 1014306/1339879*c_0101_6^9 + 292164/1339879*c_0101_6^8 - 3622091/1339879*c_0101_6^7 - 9010090/1339879*c_0101_6^6 - 8805238/1339879*c_0101_6^5 - 1230658/1339879*c_0101_6^4 + 993797/1339879*c_0101_6^3 + 3353919/1339879*c_0101_6^2 - 869818/1339879*c_0101_6 + 1259890/1339879, c_0101_2 + 7131/5359516*c_0101_3*c_0101_6^10 + 27721/5359516*c_0101_3*c_0101_6^9 + 51627/2679758*c_0101_3*c_0101_6^8 + 107616/1339879*c_0101_3*c_0101_6^7 - 601035/5359516*c_0101_3*c_0101_6^6 - 3449659/5359516*c_0101_3*c_0101_6^5 - 3510921/5359516*c_0101_3*c_0101_6^4 + 696830/1339879*c_0101_3*c_0101_6^3 + 11994295/5359516*c_0101_3*c_0101_6^2 + 1751917/5359516*c_0101_3*c_0101_6 - 1458429/5359516*c_0101_3, c_0101_3^2 - 546465/10719032*c_0101_6^10 + 635477/10719032*c_0101_6^9 + 6492167/5359516*c_0101_6^8 + 183045/2679758*c_0101_6^7 - 40782595/10719032*c_0101_6^6 - 65201911/10719032*c_0101_6^5 - 12639141/10719032*c_0101_6^4 + 19953187/2679758*c_0101_6^3 - 24009893/10719032*c_0101_6^2 + 3578785/10719032*c_0101_6 - 5560337/10719032, c_0101_6^11 + 4*c_0101_6^10 - 3*c_0101_6^9 - 18*c_0101_6^8 - 25*c_0101_6^7 - 6*c_0101_6^6 + 20*c_0101_6^5 - 7*c_0101_6^4 + 9*c_0101_6^3 - 4*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB