Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 206409986] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3391 geometric_solution 6.55851673 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334294946679 0.310235796875 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058512872483 1.181287039192 1 4 5 6 0132 0132 0132 0132 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 -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 0.265903968975 1.012044300778 6 5 4 1 1023 3201 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265903968975 1.012044300778 3 2 4 4 2310 0132 1230 3012 0 0 0 0 0 -1 1 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 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 0.268246866615 0.749390418562 5 5 3 2 1302 2031 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0.309846970133 0.800231118375 6 3 2 6 3201 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347690460513 0.971289433794 ==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' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_3']), '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' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], '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' : 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_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], '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' : d['c_0011_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' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t + 727449281904294327/27913856261965*c_0101_0*c_0101_3^18 + 542177732004564993/5582771252393*c_0101_0*c_0101_3^17 - 2330595393207131695/5582771252393*c_0101_0*c_0101_3^16 - 31731220040486450346/27913856261965*c_0101_0*c_0101_3^15 + 91605501559121639512/27913856261965*c_0101_0*c_0101_3^14 + 125533644738238290091/27913856261965*c_0101_0*c_0101_3^13 - 398049296628947388644/27913856261965*c_0101_0*c_0101_3^12 - 150130731723200565346/27913856261965*c_0101_0*c_0101_3^11 + 876888582576452656472/27913856261965*c_0101_0*c_0101_3^10 - 177211431971798331911/27913856261965*c_0101_0*c_0101_3^9 - 179008901592993341685/5582771252393*c_0101_0*c_0101_3^8 + 418594185342875882558/27913856261965*c_0101_0*c_0101_3^7 + 90008821481260529007/5582771252393*c_0101_0*c_0101_3^6 - 47889332766765953301/5582771252393*c_0101_0*c_0101_3^5 - 32735442077785617427/5582771252393*c_0101_0*c_0101_3^4 + 79671354713236939171/27913856261965*c_0101_0*c_0101_3^3 + 29865645208471323858/27913856261965*c_0101_0*c_0101_3^2 - 8892935993640211524/27913856261965*c_0101_0*c_0101_3 - 2660857104537094573/27913856261965*c_0101_0, c_0011_0 - 1, c_0011_1 + 52490300650844/5582771252393*c_0101_3^18 + 193261410644752/5582771252393*c_0101_3^17 - 848226453028341/5582771252393*c_0101_3^16 - 2246176900745088/5582771252393*c_0101_3^15 + 6694502816925985/5582771252393*c_0101_3^14 + 8695732448193137/5582771252393*c_0101_3^13 - 29002716562922768/5582771252393*c_0101_3^12 - 9274967673832167/5582771252393*c_0101_3^11 + 63235190994522737/5582771252393*c_0101_3^10 - 16058530164351537/5582771252393*c_0101_3^9 - 62905118999114045/5582771252393*c_0101_3^8 + 33151866571060760/5582771252393*c_0101_3^7 + 30101351435955840/5582771252393*c_0101_3^6 - 18438132874267195/5582771252393*c_0101_3^5 - 10663758171868458/5582771252393*c_0101_3^4 + 6130799619844821/5582771252393*c_0101_3^3 + 1815229941580487/5582771252393*c_0101_3^2 - 682591729730251/5582771252393*c_0101_3 - 169047158736554/5582771252393, c_0011_3 + 143268085233626/5582771252393*c_0101_0*c_0101_3^18 + 527367626139384/5582771252393*c_0101_0*c_0101_3^17 - 2317436795490782/5582771252393*c_0101_0*c_0101_3^16 - 6137804341981849/5582771252393*c_0101_0*c_0101_3^15 + 18295781229827642/5582771252393*c_0101_0*c_0101_3^14 + 23824304710980699/5582771252393*c_0101_0*c_0101_3^13 - 79283323229706428/5582771252393*c_0101_0*c_0101_3^12 - 25728757059173149/5582771252393*c_0101_0*c_0101_3^11 + 173041740527217045/5582771252393*c_0101_0*c_0101_3^10 - 42896980741144325/5582771252393*c_0101_0*c_0101_3^9 - 172635714728711560/5582771252393*c_0101_0*c_0101_3^8 + 89486583550893067/5582771252393*c_0101_0*c_0101_3^7 + 83185503689544293/5582771252393*c_0101_0*c_0101_3^6 - 49722145301549733/5582771252393*c_0101_0*c_0101_3^5 - 29598617558387723/5582771252393*c_0101_0*c_0101_3^4 + 16443467234038784/5582771252393*c_0101_0*c_0101_3^3 + 5047150612175310/5582771252393*c_0101_0*c_0101_3^2 - 1771307911071665/5582771252393*c_0101_0*c_0101_3 - 457682020699621/5582771252393*c_0101_0, c_0011_5 + 39517689472319/5582771252393*c_0101_0*c_0101_3^18 + 144515885685664/5582771252393*c_0101_0*c_0101_3^17 - 643500074534716/5582771252393*c_0101_0*c_0101_3^16 - 1681386406258046/5582771252393*c_0101_0*c_0101_3^15 + 5096121529788538/5582771252393*c_0101_0*c_0101_3^14 + 6493876275743895/5582771252393*c_0101_0*c_0101_3^13 - 22082445984118866/5582771252393*c_0101_0*c_0101_3^12 - 6765249386972334/5582771252393*c_0101_0*c_0101_3^11 + 48136409958066672/5582771252393*c_0101_0*c_0101_3^10 - 12573497337350835/5582771252393*c_0101_0*c_0101_3^9 - 47862935267880852/5582771252393*c_0101_0*c_0101_3^8 + 25465646679617282/5582771252393*c_0101_0*c_0101_3^7 + 22914792696915420/5582771252393*c_0101_0*c_0101_3^6 - 14095605153263659/5582771252393*c_0101_0*c_0101_3^5 - 8100091595247857/5582771252393*c_0101_0*c_0101_3^4 + 4644547689176722/5582771252393*c_0101_0*c_0101_3^3 + 1347593676524060/5582771252393*c_0101_0*c_0101_3^2 - 492522692510023/5582771252393*c_0101_0*c_0101_3 - 117330787585447/5582771252393*c_0101_0, c_0101_0^2 + 52490300650844/5582771252393*c_0101_3^18 + 193261410644752/5582771252393*c_0101_3^17 - 848226453028341/5582771252393*c_0101_3^16 - 2246176900745088/5582771252393*c_0101_3^15 + 6694502816925985/5582771252393*c_0101_3^14 + 8695732448193137/5582771252393*c_0101_3^13 - 29002716562922768/5582771252393*c_0101_3^12 - 9274967673832167/5582771252393*c_0101_3^11 + 63235190994522737/5582771252393*c_0101_3^10 - 16058530164351537/5582771252393*c_0101_3^9 - 62905118999114045/5582771252393*c_0101_3^8 + 33151866571060760/5582771252393*c_0101_3^7 + 30101351435955840/5582771252393*c_0101_3^6 - 18438132874267195/5582771252393*c_0101_3^5 - 10663758171868458/5582771252393*c_0101_3^4 + 6130799619844821/5582771252393*c_0101_3^3 + 1815229941580487/5582771252393*c_0101_3^2 - 682591729730251/5582771252393*c_0101_3 - 174629929988947/5582771252393, c_0101_1 + 112829677305611/5582771252393*c_0101_3^18 + 418310505344027/5582771252393*c_0101_3^17 - 1812111186662922/5582771252393*c_0101_3^16 - 4874042217338436/5582771252393*c_0101_3^15 + 14251671680392135/5582771252393*c_0101_3^14 + 19046816528296030/5582771252393*c_0101_3^13 - 61725286474482974/5582771252393*c_0101_3^12 - 21488987013615141/5582771252393*c_0101_3^11 + 134801047083741920/5582771252393*c_0101_3^10 - 30948837060797635/5582771252393*c_0101_3^9 - 134726014733569105/5582771252393*c_0101_3^8 + 67210621388434065/5582771252393*c_0101_3^7 + 65074251141457569/5582771252393*c_0101_3^6 - 37182605147393419/5582771252393*c_0101_3^5 - 23100365343895149/5582771252393*c_0101_3^4 + 12221892697416891/5582771252393*c_0101_3^3 + 3893853544847046/5582771252393*c_0101_3^2 - 1287786690735271/5582771252393*c_0101_3 - 336500064441729/5582771252393, c_0101_3^19 + 4*c_0101_3^18 - 15*c_0101_3^17 - 48*c_0101_3^16 + 114*c_0101_3^15 + 207*c_0101_3^14 - 500*c_0101_3^13 - 356*c_0101_3^12 + 1149*c_0101_3^11 + 86*c_0101_3^10 - 1297*c_0101_3^9 + 239*c_0101_3^8 + 776*c_0101_3^7 - 160*c_0101_3^6 - 315*c_0101_3^5 + 48*c_0101_3^4 + 71*c_0101_3^3 - c_0101_3^2 - 7*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB