Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 3600239529] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3005 geometric_solution 6.18122450 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 0 -1 1 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 0 1 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 1.209266130715 0.911188607374 0 4 0 2 0132 0132 1230 3012 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 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 -0.239419320146 1.042481916002 5 0 1 5 0132 0132 1230 1023 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 1 0 -1 1 0 -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 0.073708228611 0.441467781659 5 6 4 0 2103 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742171474236 0.768637899097 5 1 6 3 1023 0132 3120 0132 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 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 0.349897769972 0.673285392438 2 4 3 2 0132 1023 2103 1023 0 0 0 0 0 0 1 -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 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 0.408789359322 1.771571633688 6 3 4 6 3012 0132 3120 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.012157400592 0.694557362829 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : 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' : 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' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_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_0'], 'c_0011_6' : negation(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' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1443470999099/1100022425016*c_0101_6^19 - 7516714223525/1100022425016*c_0101_6^17 + 16094503638803/183337070836*c_0101_6^15 + 146656277244501/366674141672*c_0101_6^13 - 771124719473143/1100022425016*c_0101_6^11 + 629798994475423/1100022425016*c_0101_6^9 + 3839740980671/366674141672*c_0101_6^7 - 21904659404241/183337070836*c_0101_6^5 + 6248630054599/550011212508*c_0101_6^3 + 4138529671315/275005606254*c_0101_6, c_0011_0 - 1, c_0011_3 + 14174121071/366674141672*c_0101_6^18 + 78121350787/366674141672*c_0101_6^16 - 463525544491/183337070836*c_0101_6^14 - 4612623658703/366674141672*c_0101_6^12 + 6357248900445/366674141672*c_0101_6^10 - 3665753944855/366674141672*c_0101_6^8 - 3537802661403/366674141672*c_0101_6^6 + 1427891169473/183337070836*c_0101_6^4 - 151022861735/183337070836*c_0101_6^2 - 53007178361/45834267709, c_0101_0 - 1, c_0101_1 + 14085875499/183337070836*c_0101_6^19 + 158306327117/366674141672*c_0101_6^17 - 1813298013809/366674141672*c_0101_6^15 - 2325821003107/91668535418*c_0101_6^13 + 10797163948979/366674141672*c_0101_6^11 - 9610072657713/366674141672*c_0101_6^9 - 410479965581/366674141672*c_0101_6^7 - 1165514889247/366674141672*c_0101_6^5 + 156950574651/183337070836*c_0101_6^3 - 80923023555/183337070836*c_0101_6, c_0101_2 + 45947313497/366674141672*c_0101_6^18 + 244503657211/366674141672*c_0101_6^16 - 762476576999/91668535418*c_0101_6^14 - 14373655140829/366674141672*c_0101_6^12 + 23165212336277/366674141672*c_0101_6^10 - 16168404801183/366674141672*c_0101_6^8 - 3970796651091/366674141672*c_0101_6^6 + 723395323693/45834267709*c_0101_6^4 - 68122515819/183337070836*c_0101_6^2 - 132413511149/91668535418, c_0101_3 - 119039838247/366674141672*c_0101_6^19 - 623271261331/366674141672*c_0101_6^17 + 3969830608543/183337070836*c_0101_6^15 + 36474221106359/366674141672*c_0101_6^13 - 62145702900669/366674141672*c_0101_6^11 + 52227828831231/366674141672*c_0101_6^9 - 313961367613/366674141672*c_0101_6^7 - 4724437927189/183337070836*c_0101_6^5 + 640043100091/183337070836*c_0101_6^3 + 137271504312/45834267709*c_0101_6, c_0101_6^20 + 5*c_0101_6^18 - 68*c_0101_6^16 - 291*c_0101_6^14 + 599*c_0101_6^12 - 543*c_0101_6^10 + 61*c_0101_6^8 + 120*c_0101_6^6 - 40*c_0101_6^4 - 12*c_0101_6^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB