Magma V2.19-8 Tue Aug 20 2013 16:17:14 on localhost [Seed = 526287808] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1471 geometric_solution 5.28921741 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518405319209 0.370725759891 0 2 4 3 0132 0213 0132 0132 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 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 0.409909026812 0.508075483538 3 4 1 0 3201 1023 0213 0132 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 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 0.409909026812 0.508075483538 5 5 1 2 0132 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.915039995914 0.609875965834 2 6 6 1 1023 0132 1023 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 0.816282714947 0.687457019716 3 5 3 5 0132 2310 2310 3201 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.276289318588 0.912709244952 6 4 4 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.318143478423 0.368888326950 ==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_2']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 96174282968531584/725622542117447455*c_0101_6^21 + 36942067267672795/145124508423489491*c_0101_6^19 - 5512883134303680528/725622542117447455*c_0101_6^17 + 2984020721371994841/145124508423489491*c_0101_6^15 + 2986017564722275535/145124508423489491*c_0101_6^13 - 12828967449142181378/725622542117447455*c_0101_6^11 - 13893888777824741277/725622542117447455*c_0101_6^9 + 1661556131768717733/725622542117447455*c_0101_6^7 + 3158515598425014218/725622542117447455*c_0101_6^5 - 472207172427943776/725622542117447455*c_0101_6^3 - 564944958168782811/725622542117447455*c_0101_6, c_0011_0 - 1, c_0011_2 - 6396066249790/66055761685703*c_0101_6^21 + 17516187471486/66055761685703*c_0101_6^19 - 379033611162365/66055761685703*c_0101_6^17 + 1297972605822314/66055761685703*c_0101_6^15 + 45763143053678/66055761685703*c_0101_6^13 - 1230632907163798/66055761685703*c_0101_6^11 + 41519438110145/66055761685703*c_0101_6^9 + 58600979823086/66055761685703*c_0101_6^7 - 201121809057718/66055761685703*c_0101_6^5 + 109483184963416/66055761685703*c_0101_6^3 + 97504142954952/66055761685703*c_0101_6, c_0011_3 + 4869274269761/66055761685703*c_0101_6^21 - 16804045116237/66055761685703*c_0101_6^19 + 298257764379436/66055761685703*c_0101_6^17 - 1195796724750506/66055761685703*c_0101_6^15 + 685568093146883/66055761685703*c_0101_6^13 + 828749761347828/66055761685703*c_0101_6^11 - 373362920639272/66055761685703*c_0101_6^9 - 71682507281016/66055761685703*c_0101_6^7 + 49387215515149/66055761685703*c_0101_6^5 - 133766767913720/66055761685703*c_0101_6^3 - 49329702770000/66055761685703*c_0101_6, c_0101_0 + 2246307661/66055761685703*c_0101_6^20 - 182191501875/66055761685703*c_0101_6^18 + 361454842258/66055761685703*c_0101_6^16 - 10344487702076/66055761685703*c_0101_6^14 + 21179671550566/66055761685703*c_0101_6^12 + 44333950117633/66055761685703*c_0101_6^10 + 2774208903693/66055761685703*c_0101_6^8 - 43103731379483/66055761685703*c_0101_6^6 - 133026380353846/66055761685703*c_0101_6^4 + 63723357369659/66055761685703*c_0101_6^2 + 26257809689940/66055761685703, c_0101_1 - 1694209360803/66055761685703*c_0101_6^21 + 7093728644194/66055761685703*c_0101_6^19 - 109211521006096/66055761685703*c_0101_6^17 + 494870069535411/66055761685703*c_0101_6^15 - 610960361181825/66055761685703*c_0101_6^13 + 79376681660797/66055761685703*c_0101_6^11 + 433298002393954/66055761685703*c_0101_6^9 - 107932930364758/66055761685703*c_0101_6^7 - 122176557132608/66055761685703*c_0101_6^5 - 48916523937882/66055761685703*c_0101_6^3 - 46903209483544/66055761685703*c_0101_6, c_0101_4 - 5234348210278/66055761685703*c_0101_6^21 + 13535921297449/66055761685703*c_0101_6^19 - 306628082792921/66055761685703*c_0101_6^17 + 1011496321292219/66055761685703*c_0101_6^15 + 280073545302977/66055761685703*c_0101_6^13 - 1259017995147429/66055761685703*c_0101_6^11 - 196188992573608/66055761685703*c_0101_6^9 + 250462903980735/66055761685703*c_0101_6^7 + 67480916686825/66055761685703*c_0101_6^5 - 442706177147/66055761685703*c_0101_6^3 - 22114409500252/66055761685703*c_0101_6, c_0101_6^22 - 2*c_0101_6^20 + 57*c_0101_6^18 - 159*c_0101_6^16 - 170*c_0101_6^14 + 207*c_0101_6^12 + 224*c_0101_6^10 - 18*c_0101_6^8 - 58*c_0101_6^6 - 22*c_0101_6^4 - 24*c_0101_6^2 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB