Magma V2.19-8     Tue Sep 10 2013 02:42:12 on localhost [Seed = 4236251559]
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==TRIANGULATION=BEGINS==
% Triangulation
m004
geometric_solution  2.02988321
oriented_manifold
CS_known 0.0000000000000000

1 0
    torus   0.000000000000   0.000000000000

2
   1    1    1    1 
 0132 1230 2310 2103
   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 -1  0  1  1  0 -1  0  0  1  0 -1 -1  0  1  0
  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
  0.500000000000   0.866025403784

   0    0    0    0 
 0132 3201 3012 2103
   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 -1  0  1 -1  0  1  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
  0.500000000000   0.866025403784


==TRIANGULATION=ENDS==
PY=EVAL=SECTION=BEGINS=HERE
{'variable_dict' : 
     (lambda d, negation = (lambda x:-x): {
          'c_1020_0' : d['c_0102_1'],
          'c_1020_1' : d['c_0201_1'],
          'c_0201_0' : d['c_0012_1'],
          'c_0201_1' : d['c_0201_1'],
          'c_2100_0' : d['c_0012_0'],
          'c_2100_1' : d['c_0102_1'],
          'c_2010_0' : d['c_0201_1'],
          'c_2010_1' : d['c_0102_1'],
          'c_0102_0' : d['c_0012_0'],
          'c_0102_1' : d['c_0102_1'],
          'c_1101_0' : d['c_1011_1'],
          'c_1101_1' : d['c_1011_0'],
          'c_1200_0' : d['c_0012_1'],
          'c_1200_1' : d['c_0201_1'],
          'c_1110_0' : d['c_1110_0'],
          'c_1110_1' : negation(d['c_1110_0']),
          'c_0120_0' : d['c_0102_1'],
          'c_0120_1' : d['c_0012_0'],
          'c_2001_0' : d['c_0201_1'],
          'c_2001_1' : d['c_0012_0'],
          'c_0012_0' : d['c_0012_0'],
          'c_0012_1' : d['c_0012_1'],
          'c_0111_0' : d['c_0111_0'],
          'c_0111_1' : negation(d['c_0111_0']),
          'c_0210_0' : d['c_0201_1'],
          'c_0210_1' : d['c_0012_1'],
          'c_1002_0' : d['c_0102_1'],
          'c_1002_1' : d['c_0012_1'],
          'c_1011_0' : d['c_1011_0'],
          'c_1011_1' : d['c_1011_1'],
          'c_0021_0' : d['c_0012_1'],
          'c_0021_1' : d['c_0012_0']})}
PY=EVAL=SECTION=ENDS=HERE
PRIMARY=DECOMPOSITION=BEGINS=HERE
[
    Ideal of Polynomial ring of rank 9 over Rational Field
    Order: Lexicographical
    Variables: t, c_0012_0, c_0012_1, c_0102_1, c_0111_0, c_0201_1, c_1011_0, 
    c_1011_1, c_1110_0
    Inhomogeneous, Dimension 0, Radical, Prime
    Size of variety over algebraically closed field: 2
    Groebner basis:
    [
        t - 45/2*c_1110_0 + 91/8,
        c_0012_0 - 1,
        c_0012_1 + 2*c_1110_0,
        c_0102_1 + 2*c_1110_0 - 1,
        c_0111_0 - 1,
        c_0201_1 + 2*c_1110_0 - 1,
        c_1011_0 - c_1110_0,
        c_1011_1 - 3*c_1110_0 + 1,
        c_1110_0^2 - 3/4*c_1110_0 + 1/4
    ],
    Ideal of Polynomial ring of rank 9 over Rational Field
    Order: Lexicographical
    Variables: t, c_0012_0, c_0012_1, c_0102_1, c_0111_0, c_0201_1, c_1011_0, 
    c_1011_1, c_1110_0
    Inhomogeneous, Dimension 0, Radical, Prime
    Size of variety over algebraically closed field: 2
    Groebner basis:
    [
        t - 1/8,
        c_0012_0 - 1,
        c_0012_1 - 1,
        c_0102_1 + c_1110_0 - 2,
        c_0111_0 - 1,
        c_0201_1 - c_1110_0 + 1,
        c_1011_0 + c_1110_0 - 3,
        c_1011_1 - 1,
        c_1110_0^2 - 3*c_1110_0 + 4
    ],
    Ideal of Polynomial ring of rank 9 over Rational Field
    Order: Lexicographical
    Variables: t, c_0012_0, c_0012_1, c_0102_1, c_0111_0, c_0201_1, c_1011_0, 
    c_1011_1, c_1110_0
    Inhomogeneous, Dimension 0, Radical, Prime
    Size of variety over algebraically closed field: 2
    Groebner basis:
    [
        t - 1,
        c_0012_0 - 1,
        c_0012_1 - 1,
        c_0102_1 - c_1110_0 + 1,
        c_0111_0 - 1,
        c_0201_1 - c_1110_0 + 1,
        c_1011_0 - c_1110_0,
        c_1011_1 - 1,
        c_1110_0^2 - c_1110_0 + 1
    ]
]
PRIMARY=DECOMPOSITION=ENDS=HERE

Total time: 0.300 seconds, Total memory usage: 32.09MB