Magma V2.19-8 Tue Aug 20 2013 16:16:47 on localhost [Seed = 3431813125] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1063 geometric_solution 4.93353007 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 -1 0 1 0 0 -1 1 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 -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 0.565202416019 0.085401606715 0 2 0 2 0132 0132 2310 1023 0 0 0 0 0 0 0 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 -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 0.535727628982 0.381486426245 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.174946644479 2.127496531858 2 5 5 6 0132 0132 1023 0132 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 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 0.193362620598 0.393177298514 6 5 5 2 0132 2310 3201 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 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 0.193362620598 0.393177298514 4 3 3 4 2310 0132 1023 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992784938072 2.048038529090 4 6 3 6 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 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155019249904 1.504868475506 ==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' : 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' : negation(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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 268703552939987/46752093576048*c_0101_5^12 + 538287218832541/46752093576048*c_0101_5^11 + 328964495168689/15584031192016*c_0101_5^10 + 536020465546019/15584031192016*c_0101_5^9 + 132099095389283/3339435255432*c_0101_5^8 + 1191839021444089/23376046788024*c_0101_5^7 + 70093873642195/1669717627716*c_0101_5^6 + 689240607454555/15584031192016*c_0101_5^5 + 176297235113639/5844011697006*c_0101_5^4 + 31892620652455/1113145085144*c_0101_5^3 + 38859927323915/2226290170288*c_0101_5^2 + 270362319638573/23376046788024*c_0101_5 + 45235173103261/11688023394012, c_0011_0 - 1, c_0011_4 + 6734683637/13331078864*c_0101_5^12 - 8227109115/6665539432*c_0101_5^11 - 16508358307/13331078864*c_0101_5^10 - 19370139617/6665539432*c_0101_5^9 - 41610520707/6665539432*c_0101_5^8 - 14421323249/3332769716*c_0101_5^7 - 33784615687/3332769716*c_0101_5^6 - 56528360589/13331078864*c_0101_5^5 - 104452989175/13331078864*c_0101_5^4 - 42946614405/13331078864*c_0101_5^3 - 3183711726/833192429*c_0101_5^2 - 3387369865/1666384858*c_0101_5 - 3520183823/1666384858, c_0101_0 + 1316302979/833192429*c_0101_5^12 + 31752778313/6665539432*c_0101_5^11 + 11005112557/1666384858*c_0101_5^10 + 71094439265/6665539432*c_0101_5^9 + 11257106109/833192429*c_0101_5^8 + 43205628921/3332769716*c_0101_5^7 + 10747982142/833192429*c_0101_5^6 + 15384082171/1666384858*c_0101_5^5 + 55788617087/6665539432*c_0101_5^4 + 37162958107/6665539432*c_0101_5^3 + 36078226245/6665539432*c_0101_5^2 + 8003661737/3332769716*c_0101_5 + 240236161/1666384858, c_0101_1 - 64864682707/13331078864*c_0101_5^12 - 29380645505/3332769716*c_0101_5^11 - 210133324003/13331078864*c_0101_5^10 - 21333109000/833192429*c_0101_5^9 - 178534058979/6665539432*c_0101_5^8 - 29365148998/833192429*c_0101_5^7 - 89163517791/3332769716*c_0101_5^6 - 384321555389/13331078864*c_0101_5^5 - 244692868641/13331078864*c_0101_5^4 - 253150476023/13331078864*c_0101_5^3 - 77213999435/6665539432*c_0101_5^2 - 25186020593/3332769716*c_0101_5 - 1836897663/833192429, c_0101_2 - 59843124991/13331078864*c_0101_5^12 - 16644452157/1666384858*c_0101_5^11 - 209984247327/13331078864*c_0101_5^10 - 95591243625/3332769716*c_0101_5^9 - 211192772199/6665539432*c_0101_5^8 - 61919059487/1666384858*c_0101_5^7 - 122525257891/3332769716*c_0101_5^6 - 373916714113/13331078864*c_0101_5^5 - 355127727281/13331078864*c_0101_5^4 - 252238102463/13331078864*c_0101_5^3 - 104901106161/6665539432*c_0101_5^2 - 31040661467/3332769716*c_0101_5 - 3652997781/833192429, c_0101_3 - 2571375171/6665539432*c_0101_5^12 - 11737062599/6665539432*c_0101_5^11 - 14687142995/6665539432*c_0101_5^10 - 24807089971/6665539432*c_0101_5^9 - 18179485845/3332769716*c_0101_5^8 - 14589739987/3332769716*c_0101_5^7 - 9647415957/1666384858*c_0101_5^6 - 24530445313/6665539432*c_0101_5^5 - 12730892207/3332769716*c_0101_5^4 - 5437787933/1666384858*c_0101_5^3 - 17304952745/6665539432*c_0101_5^2 - 4070813151/3332769716*c_0101_5 - 861716333/1666384858, c_0101_5^13 + 2*c_0101_5^12 + 69/17*c_0101_5^11 + 118/17*c_0101_5^10 + 142/17*c_0101_5^9 + 188/17*c_0101_5^8 + 172/17*c_0101_5^7 + 183/17*c_0101_5^6 + 133/17*c_0101_5^5 + 131/17*c_0101_5^4 + 84/17*c_0101_5^3 + 4*c_0101_5^2 + 32/17*c_0101_5 + 16/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB