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Loading file "m149__sl3_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation m149 geometric_solution 3.75884495 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 4 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 0 1 -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 1 -1 0 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 1.091020400167 0.755224694924 0 0 2 3 0132 3201 1230 1230 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 1 0 -1 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 0.650847936816 0.540756288275 3 0 3 1 3012 0132 2310 3012 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 -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 0.760689853402 0.857873626595 1 2 0 2 3012 3201 0132 1230 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 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 0.760689853402 0.857873626595 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0201_1'], 'c_1020_3' : d['c_0102_2'], 'c_1020_0' : d['c_0201_2'], 'c_1020_1' : d['c_0102_1'], 'c_0201_0' : d['c_0021_3'], 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0201_2'], 'c_0201_3' : d['c_0201_1'], 'c_2100_0' : d['c_0012_0'], 'c_2100_1' : d['c_0012_0'], 'c_2100_2' : d['c_0021_3'], 'c_2100_3' : d['c_0012_0'], 'c_2010_2' : d['c_0102_1'], 'c_2010_3' : d['c_0201_2'], 'c_2010_0' : d['c_0102_2'], 'c_2010_1' : d['c_0201_1'], 'c_0102_0' : d['c_0012_3'], 'c_0102_1' : d['c_0102_1'], 'c_0102_2' : d['c_0102_2'], 'c_0102_3' : d['c_0102_1'], 'c_1101_0' : d['c_1011_1'], 'c_1101_1' : d['c_1101_1'], 'c_1101_2' : d['c_1011_3'], 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0012_3'], 'c_1200_3' : d['c_0012_1'], 'c_1200_0' : d['c_0012_1'], 'c_1200_1' : d['c_0012_1'], 'c_1110_2' : d['c_1101_1'], 'c_1110_3' : d['c_0111_2'], 'c_1110_0' : d['c_1101_3'], 'c_1110_1' : d['c_0111_3'], 'c_0120_0' : d['c_0102_1'], 'c_0120_1' : d['c_0012_3'], 'c_0120_2' : d['c_0012_1'], 'c_0120_3' : d['c_0012_1'], 'c_2001_0' : d['c_0102_1'], 'c_2001_1' : d['c_0012_3'], 'c_2001_2' : d['c_0102_2'], 'c_2001_3' : d['c_0102_2'], 'c_0012_2' : d['c_0012_1'], 'c_0012_3' : d['c_0012_3'], '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_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0012_0'], 'c_0210_3' : d['c_0012_0'], 'c_0210_0' : d['c_0201_1'], 'c_0210_1' : d['c_0021_3'], 'c_1002_2' : d['c_0201_2'], 'c_1002_3' : d['c_0201_2'], 'c_1002_0' : d['c_0201_1'], 'c_1002_1' : d['c_0021_3'], 'c_1011_2' : negation(d['c_1011_0']), 'c_1011_3' : d['c_1011_3'], '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'], 'c_0021_2' : d['c_0012_0'], 'c_0021_3' : d['c_0021_3']})} PY=EVAL=SECTION=ENDS=HERE Status: Computed Groebner Basis Status: Saturated 1 / 16 Status: Saturated 2 / 16 Status: Saturated 3 / 16 Status: Saturated 4 / 16 Status: Saturated 5 / 16 Status: Saturated 6 / 16 Status: Saturated 7 / 16 Status: Saturated 8 / 16 Status: Saturated 9 / 16 Status: Saturated 10 / 16 Status: Saturated 11 / 16 Status: Saturated 12 / 16 Status: Saturated 13 / 16 Status: Saturated 14 / 16 Status: Saturated 15 / 16 Status: Saturated 16 / 16 Dimension: 1 [ 11 ] DECOMPOSITION=TYPE: Radicals of Primary Decomposition computed in several steps IDEAL=DECOMPOSITION=TIME: 23.480 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_1, c_0201_2, c_1011_0, c_1011_1, c_1011_3, c_1101_1, c_1101_3 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0201_1^2 + 2*c_0201_1*c_0201_2 + 4*c_0201_2^2 - 2*c_0201_1 + 4*c_0201_2 + 4, c_0201_1*c_1011_3 - 3/2*c_0201_1 - 3*c_0201_2 - 2*c_1011_3, c_0201_2*c_1011_3 + 3/4*c_0201_1 + c_1011_3 - 3/2, c_1011_3^2 - 3/2*c_1011_3 + 9/4, c_0012_0 - 1, c_0012_1 - c_0201_2 - 4/3*c_1011_3, c_0012_3 + c_0201_1 + 2*c_0201_2 + 4/3*c_1011_3 + 1, c_0021_3 - c_0201_2, c_0102_1 - c_0201_1, c_0102_2 + c_0201_1 + 2*c_0201_2 + 4/3*c_1011_3 + 1, c_0111_0 - 1, c_0111_2 - 1/3*c_1011_3, c_0111_3 + 2/3*c_1011_3 - 1, c_1011_0 - 2/3*c_1011_3 + 1, c_1011_1 + 2/3*c_1011_3 - 1, c_1101_1 + 1, c_1101_3 + 1 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_1, c_0201_2, c_1011_0, c_1011_1, c_1011_3, c_1101_1, c_1101_3 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0012_0 - 1, c_0012_1 - c_0201_2 + 2, c_0012_3 - 2*c_0201_2 + 3, c_0021_3 - c_0201_2, c_0102_1 - 2*c_0201_2 + 2, c_0102_2 - 2*c_0201_2 + 3, c_0111_0 - 1, c_0111_2 + 1/2, c_0111_3 + 1, c_0201_1 - 2*c_0201_2 + 2, c_1011_0 - 1, c_1011_1 + 1, c_1011_3 + 3/2, c_1101_1 + 1, c_1101_3 + 1 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_1, c_0201_2, c_1011_0, c_1011_1, c_1011_3, c_1101_1, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0012_0 - 1, c_0012_1 - 1, c_0012_3 - 2*c_1101_3^2 - 3, c_0021_3 - 2*c_1101_3^2 - 3, c_0102_1 - 2*c_1101_3^2 - 2, c_0102_2 - 2*c_1101_3^2 - 2*c_1101_3 - 1, c_0111_0 - 1, c_0111_2 - c_1101_3^2 - c_1101_3 - 1/2, c_0111_3 - 1, c_0201_1 - 2*c_1101_3^2 - 2, c_0201_2 - 2*c_1101_3^2 - 2*c_1101_3 - 1, c_1011_0 + c_1101_3, c_1011_1 + 1, c_1011_3 - c_1101_3^2 + 1/2, c_1101_1 - 1, c_1101_3^3 + c_1101_3^2 + 3/2*c_1101_3 + 1/2 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: c_0012_0, c_0012_1, c_0012_3, c_0021_3, c_0102_1, c_0102_2, c_0111_0, c_0111_2, c_0111_3, c_0201_1, c_0201_2, c_1011_0, c_1011_1, c_1011_3, c_1101_1, c_1101_3 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0012_0 - 1, c_0012_1 + 2*c_1011_3*c_1101_3^2 + c_1011_3*c_1101_3 + 3*c_1011_3, c_0012_3 - 2*c_1101_3^2 - 3, c_0021_3 + 8*c_1011_3*c_1101_3^2 + 4*c_1011_3*c_1101_3 + 10*c_1011_3, c_0102_1 - 6*c_1011_3*c_1101_3^2 - 3*c_1011_3*c_1101_3 - 7*c_1011_3 + 2*c_1101_3^2 + 2, c_0102_2 - 2*c_1101_3^2 - 2*c_1101_3 - 1, c_0111_0 - 1, c_0111_2 + c_1011_3*c_1101_3^2 + c_1011_3*c_1101_3 + c_1011_3, c_0111_3 - 2*c_1011_3*c_1101_3^2 - c_1011_3*c_1101_3 - 3*c_1011_3 + 1, c_0201_1 - 6*c_1011_3*c_1101_3^2 - 3*c_1011_3*c_1101_3 - 7*c_1011_3 + 2*c_1101_3^2 + 2, c_0201_2 + 2*c_1011_3*c_1101_3^2 + 2*c_1011_3*c_1101_3 + 2*c_1011_3, c_1011_0 - c_1011_3*c_1101_3^2 - c_1011_3 - c_1101_3, c_1011_1 + 2*c_1011_3*c_1101_3^2 + c_1011_3*c_1101_3 + 3*c_1011_3 - 1, c_1011_3^2 + c_1011_3*c_1101_3^2 - 1/2*c_1011_3 - 3/2*c_1101_3^2 + c_1101_3 + 3/4, c_1101_1 - 1, c_1101_3^3 + c_1101_3^2 + 3/2*c_1101_3 + 1/2 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0201_2" ], [ "c_0201_2" ], [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 23.480 Total time: 23.699 seconds, Total memory usage: 64.12MB