Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 2749513679] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s828 geometric_solution 5.39775213 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 2 0132 3201 2310 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 1 1 -2 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639569977933 0.856231386908 0 3 2 4 0132 0132 3201 0132 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 0 -1 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300856332342 0.936207787478 1 4 0 3 2310 1023 0132 1023 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 -1 2 -1 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 0.300856332342 0.936207787478 5 1 5 2 0132 0132 2310 1023 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 -1 0 0 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 0.918260600742 0.895198056430 2 4 1 4 1023 1302 0132 2031 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 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 0.224179249061 1.191772061592 3 3 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -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 0.515317648432 0.193736002534 ==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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(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_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : 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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_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' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_5'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 25049627965/2518572607*c_0101_5^17 - 25361681558/2518572607*c_0101_5^16 - 222386597941/2518572607*c_0101_5^15 + 309110909277/2518572607*c_0101_5^14 + 449121494271/2518572607*c_0101_5^13 - 1015409534689/2518572607*c_0101_5^12 + 400025312422/2518572607*c_0101_5^11 + 870847942167/2518572607*c_0101_5^10 - 1817092709656/2518572607*c_0101_5^9 + 1001801021291/2518572607*c_0101_5^8 + 1323152919562/2518572607*c_0101_5^7 - 2294481202352/2518572607*c_0101_5^6 + 353511944577/2518572607*c_0101_5^5 + 1331772602762/2518572607*c_0101_5^4 - 926458053954/2518572607*c_0101_5^3 - 5711517155/2518572607*c_0101_5^2 + 361165853809/2518572607*c_0101_5 - 139152964232/2518572607, c_0011_0 - 1, c_0011_2 - 35974536435/2518572607*c_0101_5^17 + 136283893282/2518572607*c_0101_5^16 - 20559726513/2518572607*c_0101_5^15 - 513674496745/2518572607*c_0101_5^14 + 731335192139/2518572607*c_0101_5^13 + 1273004528/2518572607*c_0101_5^12 - 1148972267741/2518572607*c_0101_5^11 + 1619122631266/2518572607*c_0101_5^10 - 551392898793/2518572607*c_0101_5^9 - 1378216253737/2518572607*c_0101_5^8 + 2007836659732/2518572607*c_0101_5^7 - 528600595687/2518572607*c_0101_5^6 - 943831592287/2518572607*c_0101_5^5 + 893356780606/2518572607*c_0101_5^4 - 169412737061/2518572607*c_0101_5^3 - 209080962328/2518572607*c_0101_5^2 + 135997653228/2518572607*c_0101_5 - 18506450133/2518572607, c_0101_0 + 114952406770/2518572607*c_0101_5^17 - 405107106519/2518572607*c_0101_5^16 - 29544519099/2518572607*c_0101_5^15 + 1606462768309/2518572607*c_0101_5^14 - 1964781904818/2518572607*c_0101_5^13 - 361787007868/2518572607*c_0101_5^12 + 3549966290163/2518572607*c_0101_5^11 - 4480742643652/2518572607*c_0101_5^10 + 940392655978/2518572607*c_0101_5^9 + 4492077774790/2518572607*c_0101_5^8 - 5566793803138/2518572607*c_0101_5^7 + 833819000866/2518572607*c_0101_5^6 + 2980109662109/2518572607*c_0101_5^5 - 2400237901124/2518572607*c_0101_5^4 + 279135979569/2518572607*c_0101_5^3 + 645270377701/2518572607*c_0101_5^2 - 344352884530/2518572607*c_0101_5 + 42123318880/2518572607, c_0101_1 - 108756090/13049599*c_0101_5^17 + 306785253/13049599*c_0101_5^16 + 348763657/13049599*c_0101_5^15 - 1721819935/13049599*c_0101_5^14 + 962210132/13049599*c_0101_5^13 + 2203781294/13049599*c_0101_5^12 - 4449637882/13049599*c_0101_5^11 + 2870732239/13049599*c_0101_5^10 + 2806766594/13049599*c_0101_5^9 - 7463023472/13049599*c_0101_5^8 + 4901835195/13049599*c_0101_5^7 + 2634388109/13049599*c_0101_5^6 - 5599133802/13049599*c_0101_5^5 + 2581576746/13049599*c_0101_5^4 + 686126268/13049599*c_0101_5^3 - 1340659315/13049599*c_0101_5^2 + 479925033/13049599*c_0101_5 - 20869431/13049599, c_0101_3 + 286196875/13049599*c_0101_5^17 - 1065820325/13049599*c_0101_5^16 + 151839855/13049599*c_0101_5^15 + 3880370837/13049599*c_0101_5^14 - 5505186714/13049599*c_0101_5^13 + 332161858/13049599*c_0101_5^12 + 8047075298/13049599*c_0101_5^11 - 11989464433/13049599*c_0101_5^10 + 4798637122/13049599*c_0101_5^9 + 8947230821/13049599*c_0101_5^8 - 13876632127/13049599*c_0101_5^7 + 4160921617/13049599*c_0101_5^6 + 5512959999/13049599*c_0101_5^5 - 5491845251/13049599*c_0101_5^4 + 1197566085/13049599*c_0101_5^3 + 1120756258/13049599*c_0101_5^2 - 690045906/13049599*c_0101_5 + 78990593/13049599, c_0101_5^18 - 21/5*c_0101_5^17 + 11/5*c_0101_5^16 + 69/5*c_0101_5^15 - 131/5*c_0101_5^14 + 46/5*c_0101_5^13 + 154/5*c_0101_5^12 - 58*c_0101_5^11 + 177/5*c_0101_5^10 + 147/5*c_0101_5^9 - 351/5*c_0101_5^8 + 39*c_0101_5^7 + 88/5*c_0101_5^6 - 172/5*c_0101_5^5 + 76/5*c_0101_5^4 + 16/5*c_0101_5^3 - 29/5*c_0101_5^2 + 2*c_0101_5 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB