Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 1065263682] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2976 geometric_solution 6.15623896 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.489071479409 0.256417467366 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907104329045 0.584458671624 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 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 0.336449871389 0.855534379883 2 6 4 1 3201 0132 1023 0132 0 0 0 0 0 0 0 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 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 0.336449871389 0.855534379883 6 2 3 5 0321 0132 1023 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041665416045 0.599716681746 6 6 4 2 2031 1302 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176248983502 1.527976733036 4 3 5 5 0321 0132 1302 2031 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 0 0 0 0 0.176248983502 1.527976733036 ==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' : d['c_0101_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : 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' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_5']), '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_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_0'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 44208919283307608/2602778571858333*c_0101_5^15 + 9231076878997252/867592857286111*c_0101_5^14 + 7020531657896824/867592857286111*c_0101_5^13 + 40982442210329760/867592857286111*c_0101_5^12 + 18427014932193320/867592857286111*c_0101_5^11 - 270351346437092340/867592857286111*c_0101_5^10 + 1355284172797088657/2602778571858333*c_0101_5^9 + 436439983356096683/867592857286111*c_0101_5^8 - 1396286131728912692/2602778571858333*c_0101_5^7 - 14078178916756759/78872077935101*c_0101_5^6 - 965687194658573006/2602778571858333*c_0101_5^5 + 1552296352603872989/2602778571858333*c_0101_5^4 + 3412826377586739011/2602778571858333*c_0101_5^3 + 842129434007866883/2602778571858333*c_0101_5^2 - 23767899142972373/867592857286111*c_0101_5 + 48794526550873970/2602778571858333, c_0011_0 - 1, c_0011_1 - 1253862457002/7170188903191*c_0101_5^15 + 2177034968781/7170188903191*c_0101_5^14 - 1489489690004/7170188903191*c_0101_5^13 + 4556250298166/7170188903191*c_0101_5^12 - 3265424024982/7170188903191*c_0101_5^11 - 20341264371188/7170188903191*c_0101_5^10 + 61804589283591/7170188903191*c_0101_5^9 - 25582235535540/7170188903191*c_0101_5^8 - 27786989093922/7170188903191*c_0101_5^7 + 22041570069785/7170188903191*c_0101_5^6 - 36606855579464/7170188903191*c_0101_5^5 + 78573328871444/7170188903191*c_0101_5^4 + 11617472107282/7170188903191*c_0101_5^3 - 8579296365869/7170188903191*c_0101_5^2 + 1811352310209/7170188903191*c_0101_5 + 1708497131878/7170188903191, c_0011_3 + 223917466801/7170188903191*c_0101_5^15 + 45023169844/7170188903191*c_0101_5^14 - 466233988173/7170188903191*c_0101_5^13 - 430184110278/7170188903191*c_0101_5^12 - 976836179263/7170188903191*c_0101_5^11 + 4895176105339/7170188903191*c_0101_5^10 - 3751613334046/7170188903191*c_0101_5^9 - 16148367350687/7170188903191*c_0101_5^8 + 10381656488642/7170188903191*c_0101_5^7 + 8309267453881/7170188903191*c_0101_5^6 + 5454894082761/7170188903191*c_0101_5^5 - 5321197730689/7170188903191*c_0101_5^4 - 34834628389186/7170188903191*c_0101_5^3 - 8342742959736/7170188903191*c_0101_5^2 + 13484106906799/7170188903191*c_0101_5 + 1627207556338/7170188903191, c_0011_5 + c_0101_5, c_0101_0 + 2158684791952/7170188903191*c_0101_5^15 - 3450635025025/7170188903191*c_0101_5^14 + 1468203591662/7170188903191*c_0101_5^13 - 6688764053987/7170188903191*c_0101_5^12 + 3858992883011/7170188903191*c_0101_5^11 + 38373018051043/7170188903191*c_0101_5^10 - 103070795913774/7170188903191*c_0101_5^9 + 21184917640238/7170188903191*c_0101_5^8 + 77557614928320/7170188903191*c_0101_5^7 - 37207843574437/7170188903191*c_0101_5^6 + 58392423526039/7170188903191*c_0101_5^5 - 133656611727763/7170188903191*c_0101_5^4 - 54050186601916/7170188903191*c_0101_5^3 + 42243472770789/7170188903191*c_0101_5^2 + 6704571650723/7170188903191*c_0101_5 + 2042397625314/7170188903191, c_0101_1 + 2776752486528/7170188903191*c_0101_5^15 - 4520170813240/7170188903191*c_0101_5^14 + 2725859791918/7170188903191*c_0101_5^13 - 9822551393627/7170188903191*c_0101_5^12 + 6057207821573/7170188903191*c_0101_5^11 + 46645554309253/7170188903191*c_0101_5^10 - 132554007967771/7170188903191*c_0101_5^9 + 42561634895110/7170188903191*c_0101_5^8 + 65139513619062/7170188903191*c_0101_5^7 - 37682217741358/7170188903191*c_0101_5^6 + 89457919584981/7170188903191*c_0101_5^5 - 190689207065269/7170188903191*c_0101_5^4 - 37839980501171/7170188903191*c_0101_5^3 + 20324012423256/7170188903191*c_0101_5^2 - 3557909750998/7170188903191*c_0101_5 + 6749200673240/7170188903191, c_0101_5^16 - c_0101_5^15 - 3*c_0101_5^13 + 18*c_0101_5^11 - 37*c_0101_5^10 - 14*c_0101_5^9 + 31*c_0101_5^8 + 2*c_0101_5^7 + 25*c_0101_5^6 - 47*c_0101_5^5 - 57*c_0101_5^4 - 6*c_0101_5^3 + 4*c_0101_5^2 + 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB