Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 3987501556] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s651 geometric_solution 5.14525647 oriented_manifold CS_known 0.0000000000000000 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 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 0.518853216745 0.251570724872 2 0 3 0 0132 2310 0132 0132 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 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 0.920669508661 0.505040945725 1 4 5 3 0132 0132 0132 2310 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 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 0.467342957143 1.088732834049 2 5 4 1 3201 1023 1023 0132 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 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 0.467342957143 1.088732834049 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 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878575658767 0.888414275734 3 5 5 2 1023 3201 2310 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 -0.332924961998 0.775589600447 ==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' : 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' : 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' : d['c_0101_4'], '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' : 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' : negation(d['c_0101_4']), '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 - 1550523191883967970641/17095416322027799747*c_0101_4^19 + 41269709762638056855611/17095416322027799747*c_0101_4^17 + 149167315968328142952615/17095416322027799747*c_0101_4^15 - 452961813449326947896025/17095416322027799747*c_0101_4^13 - 2104149532717748280946231/17095416322027799747*c_0101_4^11 - 1615776106189507401059503/17095416322027799747*c_0101_4^9 + 4149788798553638390603587/17095416322027799747*c_0101_4^7 - 3048489443647896020358933/17095416322027799747*c_0101_4^5 + 809121182039853144763926/17095416322027799747*c_0101_4^3 - 68352977320498813478128/17095416322027799747*c_0101_4, c_0011_0 - 1, c_0011_1 - 4442211371488/52394765009387*c_0101_4^18 + 119363917600239/52394765009387*c_0101_4^16 + 397557745823224/52394765009387*c_0101_4^14 - 1411426088643266/52394765009387*c_0101_4^12 - 5719343135763193/52394765009387*c_0101_4^10 - 3046118866580766/52394765009387*c_0101_4^8 + 13341668996877967/52394765009387*c_0101_4^6 - 11476516238920829/52394765009387*c_0101_4^4 + 4090864664235428/52394765009387*c_0101_4^2 - 483650013379864/52394765009387, c_0011_3 - 24345306187668987/59153689695597923*c_0101_4^19 + 652151746493396481/59153689695597923*c_0101_4^17 + 2232338020608668549/59153689695597923*c_0101_4^15 - 7538253506301296706/59153689695597923*c_0101_4^13 - 31923230329808647649/59153689695597923*c_0101_4^11 - 19463036880539482333/59153689695597923*c_0101_4^9 + 70893389114082668302/59153689695597923*c_0101_4^7 - 57613839356038028287/59153689695597923*c_0101_4^5 + 18591999866380374501/59153689695597923*c_0101_4^3 - 1953010453883638303/59153689695597923*c_0101_4, c_0101_0 + 2129261237505327/59153689695597923*c_0101_4^19 - 55151565641492897/59153689695597923*c_0101_4^17 - 245164356920383667/59153689695597923*c_0101_4^15 + 470421262782268541/59153689695597923*c_0101_4^13 + 3313963814859298863/59153689695597923*c_0101_4^11 + 4336861569371871635/59153689695597923*c_0101_4^9 - 3831659699271590640/59153689695597923*c_0101_4^7 + 387697604578239090/59153689695597923*c_0101_4^5 + 1434584139506571896/59153689695597923*c_0101_4^3 - 447862557097095188/59153689695597923*c_0101_4, c_0101_1 + 1084499514509/52394765009387*c_0101_4^18 - 28702856185278/52394765009387*c_0101_4^16 - 108618307907804/52394765009387*c_0101_4^14 + 299855124209359/52394765009387*c_0101_4^12 + 1513121667002257/52394765009387*c_0101_4^10 + 1362203695914165/52394765009387*c_0101_4^8 - 2652678084124706/52394765009387*c_0101_4^6 + 1807083495969564/52394765009387*c_0101_4^4 - 306090439296779/52394765009387*c_0101_4^2 - 36712540018364/52394765009387, c_0101_4^20 - 27*c_0101_4^18 - 86*c_0101_4^16 + 329*c_0101_4^14 + 1245*c_0101_4^12 + 522*c_0101_4^10 - 3075*c_0101_4^8 + 2993*c_0101_4^6 - 1277*c_0101_4^4 + 245*c_0101_4^2 - 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB