Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 2134827596] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2722 geometric_solution 5.97175166 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805307871077 0.283337301984 0 4 6 5 0132 0321 0132 0132 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 -1 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 0.781709499707 0.772185076589 2 0 2 4 2031 0132 1302 2031 0 0 0 0 0 1 0 -1 0 0 1 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -2 2 2 -2 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659102355714 0.240668574326 6 5 6 0 2310 0321 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663025404353 0.524459616493 5 2 0 1 1302 1302 0132 0321 0 0 0 0 0 1 -1 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 -2 1 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 0.533215929426 0.958432305498 6 4 1 3 0321 2031 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.337863604191 1.663884124775 5 3 3 1 0321 1230 3201 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 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 0.504305525147 0.778166743933 ==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_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], '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_4'], 'c_0011_6' : d['c_0011_3'], '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_0']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0110_2']})} 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_4, c_0011_5, c_0101_0, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 15144691/27138475*c_0110_2^12 - 318147248/244246275*c_0110_2^11 + 826775954/244246275*c_0110_2^10 + 2010757598/244246275*c_0110_2^9 - 134551906/18788175*c_0110_2^8 - 4124588932/244246275*c_0110_2^7 + 1391076073/244246275*c_0110_2^6 + 331517161/34892325*c_0110_2^5 + 1105777034/244246275*c_0110_2^4 + 760156252/81415425*c_0110_2^3 - 355406239/34892325*c_0110_2^2 - 177820714/48849255*c_0110_2 + 1871664902/244246275, c_0011_0 - 1, c_0011_3 + 15406/107361*c_0110_2^12 + 13675/107361*c_0110_2^11 - 37276/35787*c_0110_2^10 - 27991/35787*c_0110_2^9 + 93806/35787*c_0110_2^8 + 170459/107361*c_0110_2^7 - 25133/11929*c_0110_2^6 - 139397/107361*c_0110_2^5 - 170711/107361*c_0110_2^4 - 19414/107361*c_0110_2^3 + 235286/107361*c_0110_2^2 + 122587/107361*c_0110_2 - 87482/107361, c_0011_4 - c_0110_2^2 + 1, c_0011_5 + 678/11929*c_0110_2^12 + 289/11929*c_0110_2^11 - 6007/11929*c_0110_2^10 - 843/11929*c_0110_2^9 + 20591/11929*c_0110_2^8 + 838/11929*c_0110_2^7 - 30861/11929*c_0110_2^6 - 5125/11929*c_0110_2^5 + 12771/11929*c_0110_2^4 + 14113/11929*c_0110_2^3 + 10031/11929*c_0110_2^2 - 10051/11929*c_0110_2 - 17213/11929, c_0101_0 - 3149/107361*c_0110_2^12 - 1571/107361*c_0110_2^11 + 1624/11929*c_0110_2^10 - 908/11929*c_0110_2^9 - 3434/11929*c_0110_2^8 + 77957/107361*c_0110_2^7 + 22073/35787*c_0110_2^6 - 151736/107361*c_0110_2^5 - 85232/107361*c_0110_2^4 + 68081/107361*c_0110_2^3 + 43793/107361*c_0110_2^2 + 104128/107361*c_0110_2 + 63355/107361, c_0101_3 + 19234/107361*c_0110_2^12 + 38848/107361*c_0110_2^11 - 12018/11929*c_0110_2^10 - 25483/11929*c_0110_2^9 + 19683/11929*c_0110_2^8 + 436256/107361*c_0110_2^7 + 3440/35787*c_0110_2^6 - 242546/107361*c_0110_2^5 - 351965/107361*c_0110_2^4 - 220855/107361*c_0110_2^3 + 197756/107361*c_0110_2^2 + 176578/107361*c_0110_2 - 90185/107361, c_0110_2^13 + 3*c_0110_2^12 - 4*c_0110_2^11 - 18*c_0110_2^10 + 35*c_0110_2^8 + 16*c_0110_2^7 - 20*c_0110_2^6 - 24*c_0110_2^5 - 20*c_0110_2^4 + 3*c_0110_2^3 + 17*c_0110_2^2 - 3*c_0110_2 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB