Magma V2.19-8 Tue Aug 20 2013 16:19:24 on localhost [Seed = 2067457658] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3502 geometric_solution 6.77039179 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415748938644 0.450154964922 3 2 4 0 0132 3012 0132 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 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546827884603 0.826068485418 1 5 0 4 1230 0132 0132 2310 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 0 1 -1 -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 0.546827884603 0.826068485418 1 5 6 5 0132 3012 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082112828767 1.094316443914 2 6 6 1 3201 2103 0321 0132 0 0 0 0 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403111604235 1.092196264073 3 2 3 6 1230 0132 0132 2310 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 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 0.082112828767 1.094316443914 5 4 4 3 3201 2103 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303828907321 0.827283458768 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : 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' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : 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_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 76/5*c_0101_1 - 199/5, c_0011_0 - 1, c_0011_1 + c_0011_2 + c_0101_1 + 1, c_0011_2^2 + c_0011_2*c_0101_1 + c_0011_2 - 4*c_0101_1 - 1, c_0011_4 + c_0101_1 + 1, c_0011_6 - c_0101_1, c_0101_0 + c_0101_1 + 1, c_0101_1^2 + 3*c_0101_1 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 268776568045/2154783144*c_0101_1^10 - 4782275017355/2154783144*c_0101_1^9 - 82460364525715/4309566288*c_0101_1^8 - 109824558227257/1436522096*c_0101_1^7 - 209613993477569/1436522096*c_0101_1^6 - 169016704860443/1436522096*c_0101_1^5 + 2933381929565/2154783144*c_0101_1^4 + 39057634087751/718261048*c_0101_1^3 + 23626184055557/1077391572*c_0101_1^2 - 3150706764199/1436522096*c_0101_1 - 4118488310851/2154783144, c_0011_0 - 1, c_0011_1 - 235188569/89782631*c_0101_1^10 - 4267905029/89782631*c_0101_1^9 - 75357296683/179565262*c_0101_1^8 - 317942055837/179565262*c_0101_1^7 - 686743331709/179565262*c_0101_1^6 - 769355941693/179565262*c_0101_1^5 - 199898392667/89782631*c_0101_1^4 - 17971590152/89782631*c_0101_1^3 + 20868525023/89782631*c_0101_1^2 + 9070119643/179565262*c_0101_1 - 622677543/89782631, c_0011_2 - 235188569/89782631*c_0101_1^10 - 4267905029/89782631*c_0101_1^9 - 75357296683/179565262*c_0101_1^8 - 317942055837/179565262*c_0101_1^7 - 686743331709/179565262*c_0101_1^6 - 769355941693/179565262*c_0101_1^5 - 199898392667/89782631*c_0101_1^4 - 17971590152/89782631*c_0101_1^3 + 20868525023/89782631*c_0101_1^2 + 9070119643/179565262*c_0101_1 - 622677543/89782631, c_0011_4 - 159951869/89782631*c_0101_1^10 - 2930947849/89782631*c_0101_1^9 - 52116028495/179565262*c_0101_1^8 - 222700493617/179565262*c_0101_1^7 - 484834367233/179565262*c_0101_1^6 - 540064881541/179565262*c_0101_1^5 - 135804503402/89782631*c_0101_1^4 - 9358969079/89782631*c_0101_1^3 + 14098615628/89782631*c_0101_1^2 + 5177504953/179565262*c_0101_1 - 358982329/89782631, c_0011_6 + 196531890/89782631*c_0101_1^10 + 3568696516/89782631*c_0101_1^9 + 31515647271/89782631*c_0101_1^8 + 133008756396/89782631*c_0101_1^7 + 286804668377/89782631*c_0101_1^6 + 318475445138/89782631*c_0101_1^5 + 160208695164/89782631*c_0101_1^4 + 10278899305/89782631*c_0101_1^3 - 17330263208/89782631*c_0101_1^2 - 3064306054/89782631*c_0101_1 + 513818128/89782631, c_0101_0 - 203028939/89782631*c_0101_1^10 - 3686965771/89782631*c_0101_1^9 - 65070414133/179565262*c_0101_1^8 - 274049669319/179565262*c_0101_1^7 - 586451207845/179565262*c_0101_1^6 - 639759702585/179565262*c_0101_1^5 - 154506668322/89782631*c_0101_1^4 - 5531341791/89782631*c_0101_1^3 + 18684011166/89782631*c_0101_1^2 + 6548526337/179565262*c_0101_1 - 581658169/89782631, c_0101_1^11 + 19*c_0101_1^10 + 351/2*c_0101_1^9 + 1619/2*c_0101_1^8 + 4023/2*c_0101_1^7 + 5589/2*c_0101_1^6 + 2107*c_0101_1^5 + 701*c_0101_1^4 - 46*c_0101_1^3 - 175/2*c_0101_1^2 - 11*c_0101_1 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB