Magma V2.19-8 Tue Aug 20 2013 16:14:42 on localhost [Seed = 1680210041] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s685 geometric_solution 5.18293357 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.438330781096 0.319366984279 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 1.071402818633 0.766438317453 1 4 5 3 0132 0132 0132 2310 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 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 0.326944746683 0.830886538119 2 5 4 1 3201 0132 1023 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 0.326944746683 0.830886538119 4 2 3 4 3012 0132 1023 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 1.176871076826 0.886916213657 5 3 5 2 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.410082746574 1.042170694284 ==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' : 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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_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_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], '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_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 4638501340298946229/18609482141326646208*c_0101_4^19 - 43748343575126821589/9304741070663323104*c_0101_4^17 + 127870287632528171009/3101580356887774368*c_0101_4^15 - 12262238995882595431/81980097538883904*c_0101_4^13 + 3237147616679803043623/6203160713775548736*c_0101_4^11 - 6540085091653023666269/4652370535331661552*c_0101_4^9 + 9848036080298307202373/6203160713775548736*c_0101_4^7 - 15184795650401588591821/18609482141326646208*c_0101_4^5 + 11920712376266158458163/18609482141326646208*c_0101_4^3 - 822014679672308148307/3101580356887774368*c_0101_4, c_0011_0 - 1, c_0011_1 + 39690748639507/27326699179627968*c_0101_4^18 - 364489608836027/13663349589813984*c_0101_4^16 + 1035037071114187/4554449863271328*c_0101_4^14 - 20849618520378683/27326699179627968*c_0101_4^12 + 8175582336879539/3036299908847552*c_0101_4^10 - 47195182156851803/6831674794906992*c_0101_4^8 + 55644568434683947/9108899726542656*c_0101_4^6 - 58692913092010147/27326699179627968*c_0101_4^4 + 67877960728283557/27326699179627968*c_0101_4^2 - 1313504964019435/1518149954423776, c_0011_3 + 33704517360590441/18609482141326646208*c_0101_4^19 - 307530557533187257/9304741070663323104*c_0101_4^17 + 866392337634293849/3101580356887774368*c_0101_4^15 - 75115423926607355/81980097538883904*c_0101_4^13 + 2228968883471034883/689240079308394304*c_0101_4^11 - 38172777892605535405/4652370535331661552*c_0101_4^9 + 39790479760906253537/6203160713775548736*c_0101_4^7 - 28373031959512587353/18609482141326646208*c_0101_4^5 + 38772305997821530799/18609482141326646208*c_0101_4^3 + 899833691084135039/1033860118962591456*c_0101_4, c_0101_0 - 11598604283829923/2326185267665830776*c_0101_4^19 + 217024296795939725/2326185267665830776*c_0101_4^17 - 628547367879754435/775395089221943592*c_0101_4^15 + 14706809356593289/5123756096180244*c_0101_4^13 - 862789260405923069/86155009913549288*c_0101_4^11 + 61958923152253107919/2326185267665830776*c_0101_4^9 - 10785318937798146355/387697544610971796*c_0101_4^7 + 28952994167549644031/2326185267665830776*c_0101_4^5 - 3152184787689687877/290773158458228847*c_0101_4^3 + 208949099146048115/64616257435161966*c_0101_4, c_0101_1 - 12869362864349/6831674794906992*c_0101_4^18 + 59221517567609/1707918698726748*c_0101_4^16 - 84235274563199/284653116454458*c_0101_4^14 + 6817056590187079/6831674794906992*c_0101_4^12 - 2660490405849621/759074977211888*c_0101_4^10 + 30880066100330123/3415837397453496*c_0101_4^8 - 18203301342755255/2277224931635664*c_0101_4^6 + 18618335553087557/6831674794906992*c_0101_4^4 - 19710710633681933/6831674794906992*c_0101_4^2 + 70216466065847/379537488605944, c_0101_4^20 - 19*c_0101_4^18 + 168*c_0101_4^16 - 623*c_0101_4^14 + 2178*c_0101_4^12 - 5933*c_0101_4^10 + 7167*c_0101_4^8 - 4204*c_0101_4^6 + 3064*c_0101_4^4 - 1449*c_0101_4^2 + 162 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB