Magma V2.28-2 Wed Oct 4 2023 11:24:36 on stavros-pc [Seed = 2899645252] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2789 geometric_solution 6.02304602 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 3201 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 1 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 -0.333333333333 0.942809041582 0 0 4 3 0132 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 -1 0 1 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 0.333333333333 0.942809041582 0 0 5 3 2310 0132 0132 1023 0 0 0 0 0 0 1 -1 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 1 -1 0 1 0 0 -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 0.333333333333 0.942809041582 4 5 1 2 2310 3201 0132 1023 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 -1 1 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 0.333333333333 0.471404520791 5 6 3 1 0132 0132 3201 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 1.000000000000 1.414213562373 4 6 3 2 0132 3201 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 1.000000000000 1.414213562373 6 4 5 6 3201 0132 2310 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 -0.333333333333 0.471404520791 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1100_0' : d['c_0011_0'], 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_2' : - d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_1010_3' : - d['c_0101_0'], 'c_1001_4' : - d['c_0101_0'], 'c_1001_5' : d['c_0101_0'], 'c_1010_6' : - d['c_0101_0'], 'c_0101_6' : - d['c_0101_0'], 'c_0110_6' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_1010_1' : - d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_1001_3' : - d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_1001_0' : - d['c_0101_2'], 'c_1010_2' : - d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_3' : - d['c_0101_2'], 'c_0101_4' : d['c_0101_2'], 'c_1010_0' : - d['c_1001_1'], 'c_1001_2' : - d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_5' : - d['c_1001_1'], 'c_1001_6' : d['c_1001_1'], 'c_0011_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_1' : - d['c_0011_3'], 'c_1100_4' : - d['c_0011_3'], 'c_1100_3' : - d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_5' : - d['c_0011_4'], 'c_0011_6' : - d['c_0011_4'], 'c_1100_6' : - d['c_0011_4'], 's_0_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_0_4' : d['1'], 's_1_3' : d['1'], 's_0_3' : d['1'], 's_3_2' : d['1'], 's_2_2' : d['1'], 's_3_1' : d['1'], 's_2_1' : d['1'], 's_3_0' : - d['1'], 's_2_0' : d['1'], 's_1_0' : d['1'], 's_0_0' : - d['1'], 's_0_1' : - d['1'], 's_1_2' : d['1'], 's_0_2' : d['1'], 's_1_1' : - d['1'], 's_3_4' : d['1'], 's_2_3' : d['1'], 's_3_5' : d['1'], 's_3_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_1_6' : d['1'], 's_2_6' : d['1'], 's_3_6' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Computing RadicalDecomposition Time: 0.000 Status: Number of components: 4 DECOMPOSITION=TYPE: RadicalDecomposition Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.010 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 IDEAL=DECOMPOSITION=TIME: 0.070 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 - 2/11*c_1001_1^2 + 6/11*c_1001_1 + 3/11, c_0011_4 + 6/11*c_1001_1^2 + 4/11*c_1001_1 + 2/11, c_0101_0 + 4/11*c_1001_1^2 - 1/11*c_1001_1 + 5/11, c_0101_1 - 2/11*c_1001_1^2 - 5/11*c_1001_1 + 3/11, c_0101_2 + 2/11*c_1001_1^2 + 5/11*c_1001_1 - 3/11, c_1001_1^3 + 1/2*c_1001_1 - 7/4 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 - 2/11*c_1001_1^2 - 6/11*c_1001_1 + 3/11, c_0011_4 - 6/11*c_1001_1^2 + 4/11*c_1001_1 - 2/11, c_0101_0 - 4/11*c_1001_1^2 - 1/11*c_1001_1 - 5/11, c_0101_1 - 2/11*c_1001_1^2 + 5/11*c_1001_1 + 3/11, c_0101_2 + 2/11*c_1001_1^2 - 5/11*c_1001_1 - 3/11, c_1001_1^3 + 1/2*c_1001_1 + 7/4 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 - 2/11*c_1001_1^2 + 6/11*c_1001_1 + 3/11, c_0011_4 - 6/11*c_1001_1^2 - 4/11*c_1001_1 - 2/11, c_0101_0 + 4/11*c_1001_1^2 - 1/11*c_1001_1 + 5/11, c_0101_1 + 2/11*c_1001_1^2 + 5/11*c_1001_1 - 3/11, c_0101_2 - 2/11*c_1001_1^2 - 5/11*c_1001_1 + 3/11, c_1001_1^3 + 1/2*c_1001_1 - 7/4 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 - 2/11*c_1001_1^2 - 6/11*c_1001_1 + 3/11, c_0011_4 + 6/11*c_1001_1^2 - 4/11*c_1001_1 + 2/11, c_0101_0 - 4/11*c_1001_1^2 - 1/11*c_1001_1 - 5/11, c_0101_1 + 2/11*c_1001_1^2 - 5/11*c_1001_1 - 3/11, c_0101_2 - 2/11*c_1001_1^2 + 5/11*c_1001_1 + 3/11, c_1001_1^3 + 1/2*c_1001_1 + 7/4 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [], [], [], [] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.060 seconds, Total memory usage: 32.09MB