Magma V2.22-2 Sun Aug 9 2020 22:20:29 on zickert [Seed = 2229839790] Type ? for help. Type -D to quit. Loading file "ptolemy_data_link/08_tetrahedra/8^4_3__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8^4_3 degenerate_solution 0.00000002 oriented_manifold CS_unknown 4 0 torus 0.000000000000 -0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 8 1 2 1 1 0132 0132 3120 2103 3 2 3 3 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 1 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 0.000000000000 869688721.343705415726 0 3 0 0 0132 0132 3120 2103 3 2 3 3 0 1 -1 0 0 0 1 -1 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 -1 0 0 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 0.000000000000 869688721.343705415726 4 0 4 4 0132 0132 3120 2103 3 0 3 3 0 1 0 -1 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 1 0 -1 1 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 -0.000000000000 0.000000001150 5 1 5 6 0132 0132 3120 0132 3 1 3 3 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 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 2.000000000000 -0.000000000102 2 6 2 2 0132 0132 3120 2103 3 0 3 3 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 -1 0 1 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 -0.000000000000 0.000000001150 3 7 3 7 0132 0132 3120 0132 3 1 3 3 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 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 2.000000000000 -0.000000000102 7 4 3 7 0132 0132 0132 2103 3 1 3 3 0 0 -1 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 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 0.500000000000 -0.000000000816 6 5 5 6 0132 0132 0132 2103 3 1 3 3 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 -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 0.500000000000 -0.000000000816 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_5' : - d['c_0011_0'], 'c_0011_6' : - d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_1100_0' : - d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_1' : - d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1001_1' : - d['c_1001_0'], 'c_1010_3' : - d['c_1001_0'], 'c_1010_4' : - d['c_1001_0'], 'c_1001_6' : - d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1010_1' : - d['c_1001_2'], 'c_1001_3' : - d['c_1001_2'], 'c_1001_4' : - d['c_1001_2'], 'c_1001_5' : d['c_1001_2'], 'c_1010_6' : - d['c_1001_2'], 'c_1010_7' : d['c_1001_2'], 'c_1100_2' : - d['c_0101_2'], 'c_0110_2' : d['c_0101_2'], 'c_0101_4' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1100_4' : - d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_1100_5' : - d['c_0101_3'], 'c_0101_7' : d['c_0101_3'], 'c_1100_7' : - d['c_0101_3'], 'c_1100_3' : - d['c_0101_5'], 'c_0110_3' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_1100_6' : - d['c_0101_5'], 'c_0110_7' : d['c_0101_5'], 'c_1010_5' : d['c_1001_7'], 'c_1001_7' : d['c_1001_7'], 's_3_6' : d['1'], 's_0_6' : - d['1'], 's_3_5' : d['1'], 's_1_5' : - d['1'], 's_1_4' : d['1'], 's_3_3' : - d['1'], 's_2_3' : d['1'], 's_0_3' : - d['1'], 's_3_2' : d['1'], 's_2_2' : d['1'], 's_0_2' : d['1'], 's_1_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_2_1' : d['1'], 's_3_1' : d['1'], 's_1_3' : d['1'], 's_0_4' : d['1'], 's_2_4' : d['1'], 's_3_4' : d['1'], 's_0_5' : - d['1'], 's_2_5' : d['1'], 's_2_6' : - d['1'], 's_1_6' : d['1'], 's_1_7' : - d['1'], 's_2_7' : d['1'], 's_0_7' : - d['1'], 's_3_7' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 8 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 8 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 8 ] Status: Computing RadicalDecomposition Time: 0.000 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.250 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_7 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_5*c_1001_2 - c_0101_5 + c_1001_2 + 1, c_1001_2^2 + c_1001_2*c_1001_7 - 2*c_1001_2 + c_1001_7 + 1, c_0101_5*c_1001_7 - c_1001_2 + 1, c_0011_0 - 1, c_0101_0 - 1, c_0101_2 - 1, c_0101_3 - 1, c_1001_0 - c_1001_2 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_7" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 8 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... 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 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0101_0 - 1, c_0101_2 - 1, c_0101_3 - 1, c_0101_5 - c_1001_2 + 1, c_1001_0 - c_1001_2 - 1, c_1001_2^2 - c_1001_2 + 2, c_1001_7 - 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.290 seconds, Total memory usage: 32.09MB