Magma V2.19-8 Tue Aug 20 2013 16:17:57 on localhost [Seed = 4273955387] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2194 geometric_solution 5.65044599 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232347524608 1.278830977832 0 3 2 4 0132 0132 0213 0132 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723674314140 0.629822329648 4 1 5 0 3201 0213 0132 0132 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 1 0 -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 0.723674314140 0.629822329648 4 1 5 6 0132 0132 3201 0132 0 0 0 0 0 1 -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 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 0.566389801438 0.885438459865 3 5 1 2 0132 3201 0132 2310 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 -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 0.580888077232 0.037972588000 3 6 4 2 2310 1023 2310 0132 0 0 0 0 0 1 0 -1 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 0.566389801438 0.885438459865 5 6 3 6 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.512663361284 0.801447794244 ==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_5']), 'c_1100_5' : negation(d['c_0011_0']), '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' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_5'], '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0110_6'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0110_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_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_2, c_0011_5, c_0101_0, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 56615630441/4369594431*c_0110_6^11 + 131801442905/13108783293*c_0110_6^10 - 312558825706/13108783293*c_0110_6^9 + 699190825049/13108783293*c_0110_6^8 + 546639017093/13108783293*c_0110_6^7 + 1447950418277/13108783293*c_0110_6^6 + 1838302838749/13108783293*c_0110_6^5 - 315625438387/13108783293*c_0110_6^4 - 237052737573/1456531477*c_0110_6^3 - 1365273744202/13108783293*c_0110_6^2 - 367223067323/13108783293*c_0110_6 - 56183831696/13108783293, c_0011_0 - 1, c_0011_2 - 970820823/1456531477*c_0110_6^11 + 820816967/1456531477*c_0110_6^10 + 1920793041/1456531477*c_0110_6^9 - 7198902334/1456531477*c_0110_6^8 + 5539827187/1456531477*c_0110_6^7 - 8748650849/1456531477*c_0110_6^6 + 2034614247/1456531477*c_0110_6^5 + 9972416888/1456531477*c_0110_6^4 + 2077853920/1456531477*c_0110_6^3 - 6142062463/1456531477*c_0110_6^2 + 121282886/1456531477*c_0110_6 - 485809824/1456531477, c_0011_5 - 522487443/1456531477*c_0110_6^11 + 98732606/1456531477*c_0110_6^10 + 739896097/1456531477*c_0110_6^9 - 3236734004/1456531477*c_0110_6^8 + 1639403317/1456531477*c_0110_6^7 - 6018154866/1456531477*c_0110_6^6 - 1806823915/1456531477*c_0110_6^5 + 1778678493/1456531477*c_0110_6^4 + 1241568883/1456531477*c_0110_6^3 + 840006431/1456531477*c_0110_6^2 + 2604912383/1456531477*c_0110_6 - 56918798/1456531477, c_0101_0 + 934942029/1456531477*c_0110_6^11 - 386278393/1456531477*c_0110_6^10 - 1354145880/1456531477*c_0110_6^9 + 5971206397/1456531477*c_0110_6^8 - 4102069545/1456531477*c_0110_6^7 + 11181108097/1456531477*c_0110_6^6 + 132341364/1456531477*c_0110_6^5 - 3959664444/1456531477*c_0110_6^4 - 3846118773/1456531477*c_0110_6^3 - 2426047713/1456531477*c_0110_6^2 - 3052238251/1456531477*c_0110_6 + 64364088/1456531477, c_0101_2 - 520872702/1456531477*c_0110_6^11 + 149612143/1456531477*c_0110_6^10 + 986879535/1456531477*c_0110_6^9 - 3318042850/1456531477*c_0110_6^8 + 1391929654/1456531477*c_0110_6^7 - 4770833748/1456531477*c_0110_6^6 - 1231877067/1456531477*c_0110_6^5 + 4000769159/1456531477*c_0110_6^4 + 1194550811/1456531477*c_0110_6^3 + 97044154/1456531477*c_0110_6^2 - 76673516/1456531477*c_0110_6 + 676263528/1456531477, c_0101_5 + 520872702/1456531477*c_0110_6^11 - 149612143/1456531477*c_0110_6^10 - 986879535/1456531477*c_0110_6^9 + 3318042850/1456531477*c_0110_6^8 - 1391929654/1456531477*c_0110_6^7 + 4770833748/1456531477*c_0110_6^6 + 1231877067/1456531477*c_0110_6^5 - 4000769159/1456531477*c_0110_6^4 - 1194550811/1456531477*c_0110_6^3 - 97044154/1456531477*c_0110_6^2 + 76673516/1456531477*c_0110_6 - 676263528/1456531477, c_0110_6^12 + 1/3*c_0110_6^11 - 2*c_0110_6^10 + 5*c_0110_6^9 + c_0110_6^8 + 8*c_0110_6^7 + 22/3*c_0110_6^6 - 16/3*c_0110_6^5 - 31/3*c_0110_6^4 - 11/3*c_0110_6^3 - 2/3*c_0110_6^2 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB