Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 2682127292] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s318 geometric_solution 4.49741139 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1302 2031 0132 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 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 2.450592249354 3.382383608798 0 2 3 0 3201 0132 0132 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 1 0 -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 0.039573040624 0.308551147871 3 1 3 4 2310 0132 2103 0132 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 -1 1 0 1 0 0 -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 0.530985890461 1.480584344362 2 4 2 1 2103 0132 3201 0132 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530985890461 1.480584344362 5 3 2 5 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.585343713648 0.198653168874 4 4 5 5 0132 2310 2031 1302 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 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 0.982348335613 1.028363088323 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_1_0' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0011_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_1, c_0011_3, c_0101_2, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 8084504591407/205662085955232*c_1001_1^8 + 2054717727419/34277014325872*c_1001_1^7 + 7765589141543/12853880372202*c_1001_1^6 + 201823204197967/205662085955232*c_1001_1^5 - 192503649867277/51415521488808*c_1001_1^4 - 3178627499657213/102831042977616*c_1001_1^3 - 4545412423231177/205662085955232*c_1001_1^2 + 574205660304617/102831042977616*c_1001_1 + 443691293064379/25707760744404, c_0011_0 - 1, c_0011_1 - 7405/767556228*c_1001_1^8 + 161437/767556228*c_1001_1^7 - 343454/191889057*c_1001_1^6 + 1349323/255852076*c_1001_1^5 + 7568393/767556228*c_1001_1^4 - 1044878/63963019*c_1001_1^3 - 67701889/767556228*c_1001_1^2 - 347452645/767556228*c_1001_1 + 39395645/63963019, c_0011_3 - 27750539245/25707760744404*c_1001_1^8 + 2893887949/25707760744404*c_1001_1^7 + 125194821772/6426940186101*c_1001_1^6 + 408188177407/8569253581468*c_1001_1^5 - 1652235957223/25707760744404*c_1001_1^4 - 2089693918544/2142313395367*c_1001_1^3 - 46170781260169/25707760744404*c_1001_1^2 - 24204318141637/25707760744404*c_1001_1 + 483360230195/2142313395367, c_0101_2 - 149151013079/25707760744404*c_1001_1^8 + 198574612931/25707760744404*c_1001_1^7 + 576741058814/6426940186101*c_1001_1^6 + 1412971260393/8569253581468*c_1001_1^5 - 13313636555585/25707760744404*c_1001_1^4 - 9876650908652/2142313395367*c_1001_1^3 - 107766525062735/25707760744404*c_1001_1^2 - 15074375568011/25707760744404*c_1001_1 + 1943375523943/2142313395367, c_0101_5 - 25420184137/12853880372202*c_1001_1^8 + 54012337327/12853880372202*c_1001_1^7 + 172245150494/6426940186101*c_1001_1^6 + 144687773127/4284626790734*c_1001_1^5 - 2446513823521/12853880372202*c_1001_1^4 - 3054173893881/2142313395367*c_1001_1^3 - 2850521453869/12853880372202*c_1001_1^2 - 6854607966271/12853880372202*c_1001_1 - 343055793547/2142313395367, c_1001_1^9 - c_1001_1^8 - 16*c_1001_1^7 - 33*c_1001_1^6 + 79*c_1001_1^5 + 828*c_1001_1^4 + 985*c_1001_1^3 + 313*c_1001_1^2 - 204*c_1001_1 - 144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB