Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 2101141921] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1793 geometric_solution 5.46682941 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072316099446 0.742443161504 0 0 4 3 0132 2310 0132 0132 0 0 0 0 0 1 -1 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 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 0.870040598642 1.334246033058 0 0 3 4 2310 0132 3201 3201 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 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.787043436098 0.808369117619 2 5 1 4 2310 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812296933258 1.216967566186 5 2 3 1 3201 2310 1230 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 -1 0 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 0.812296933258 1.216967566186 6 3 6 4 0132 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 0.590258526978 0.475589124806 5 6 5 6 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560661534392 0.107605789616 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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_3']), 'c_0011_4' : d['c_0011_3'], '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_0101_4']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), '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_2']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_1']), '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 17/75*c_0101_5 - 199/150, c_0011_0 - 1, c_0011_3 + 1/3*c_0101_5 - 5/3, c_0101_0 - 2/3*c_0101_5 - 2/3, c_0101_1 + 1/3*c_0101_5 - 5/3, c_0101_2 + 1/3*c_0101_5 - 2/3, c_0101_4 - c_0101_5, c_0101_5^2 + 5*c_0101_5 - 5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 625/4*c_0101_5 + 125/4, c_0011_0 - 1, c_0011_3 - 1/2*c_0101_5 - 1/2, c_0101_0 + 2*c_0101_5, c_0101_1 - 1/2*c_0101_5 - 1/2, c_0101_2 - 1/2*c_0101_5 + 1/2, c_0101_4 - c_0101_5, c_0101_5^2 - 1/5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 6012435117/337553384*c_0101_5^13 - 21265874981/337553384*c_0101_5^12 + 143287718485/337553384*c_0101_5^11 + 105772414807/337553384*c_0101_5^10 + 370718258833/168776692*c_0101_5^9 + 540094096109/168776692*c_0101_5^8 + 826797666221/168776692*c_0101_5^7 + 2511972307203/337553384*c_0101_5^6 + 69017244759/24110956*c_0101_5^5 + 178536097057/337553384*c_0101_5^4 - 156144754707/337553384*c_0101_5^3 - 38779122729/48221912*c_0101_5^2 - 37383494671/337553384*c_0101_5 + 19578541671/337553384, c_0011_0 - 1, c_0011_3 - 16690242639/24110956*c_0101_5^13 + 74876213707/24110956*c_0101_5^12 - 470357919469/24110956*c_0101_5^11 + 161963251557/24110956*c_0101_5^10 - 1132659081655/12055478*c_0101_5^9 - 383868844771/12055478*c_0101_5^8 - 2050196200703/12055478*c_0101_5^7 - 2829671425577/24110956*c_0101_5^6 - 155541259731/12055478*c_0101_5^5 + 134285464035/24110956*c_0101_5^4 + 602324897201/24110956*c_0101_5^3 + 274608809393/24110956*c_0101_5^2 - 66594976789/24110956*c_0101_5 - 34375807379/24110956, c_0101_0 + 736895449/12055478*c_0101_5^13 - 1637992210/6027739*c_0101_5^12 + 20618111437/12055478*c_0101_5^11 - 3116778053/6027739*c_0101_5^10 + 49634177282/6027739*c_0101_5^9 + 19186233662/6027739*c_0101_5^8 + 90099299135/6027739*c_0101_5^7 + 132942083787/12055478*c_0101_5^6 + 14959715389/12055478*c_0101_5^5 - 2744501810/6027739*c_0101_5^4 - 26719570451/12055478*c_0101_5^3 - 6510611858/6027739*c_0101_5^2 + 2931210599/12055478*c_0101_5 + 802833245/6027739, c_0101_1 + 1, c_0101_2 - 1765740431/24110956*c_0101_5^13 + 8097477211/24110956*c_0101_5^12 - 50632193037/24110956*c_0101_5^11 + 22499413653/24110956*c_0101_5^10 - 121929993791/12055478*c_0101_5^9 - 27656902207/12055478*c_0101_5^8 - 218858210125/12055478*c_0101_5^7 - 253905084393/24110956*c_0101_5^6 - 11985088869/12055478*c_0101_5^5 + 14174875795/24110956*c_0101_5^4 + 62844461749/24110956*c_0101_5^3 + 23355273409/24110956*c_0101_5^2 - 7217042645/24110956*c_0101_5 - 2921061115/24110956, c_0101_4 - 4421391185/6027739*c_0101_5^13 + 19829314612/6027739*c_0101_5^12 - 124572321523/6027739*c_0101_5^11 + 42722859599/6027739*c_0101_5^10 - 599968963724/6027739*c_0101_5^9 - 204258643399/6027739*c_0101_5^8 - 1086146571656/6027739*c_0101_5^7 - 751136126387/6027739*c_0101_5^6 - 82800650060/6027739*c_0101_5^5 + 35605312012/6027739*c_0101_5^4 + 159605483481/6027739*c_0101_5^3 + 72960936073/6027739*c_0101_5^2 - 17627650772/6027739*c_0101_5 - 9133111337/6027739, c_0101_5^14 - 4*c_0101_5^13 + 26*c_0101_5^12 + 4*c_0101_5^11 + 131*c_0101_5^10 + 112*c_0101_5^9 + 268*c_0101_5^8 + 289*c_0101_5^7 + 101*c_0101_5^6 + c_0101_5^5 - 40*c_0101_5^4 - 34*c_0101_5^3 - 4*c_0101_5^2 + 4*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB