Magma V2.22-2 Sun Aug 9 2020 22:18:45 on zickert [Seed = 3050936261] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/08_tetrahedra/K13n4587__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4587 degenerate_solution 0.00008183 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 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 14 0 -14 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.999998154007 0.000002153800 0 5 1 1 0132 0132 2031 1302 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 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 0.250000109517 0.000000193965 5 0 6 6 0132 0132 2310 0132 0 0 0 0 0 0 -1 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 -1 15 -14 0 0 0 0 14 -14 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000001943479 0.000003358281 6 5 6 0 3120 2310 1302 0132 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 -1 0 1 0 0 0 0 -14 0 0 14 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 74461099062.810501098633 129579693356.993728637695 7 7 0 7 0132 3201 0132 3201 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 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999999034739 -0.000000057983 2 1 7 3 0132 0132 2031 3201 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 0 0 0 0 0 -1 0 1 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.999998153666 0.000002296393 3 2 2 3 2031 3201 0132 3120 0 0 0 0 0 1 -1 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 -14 14 0 0 0 0 0 1 -15 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -193635.821953541541 334597.609501485073 4 4 4 5 0132 2310 2310 1302 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 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000368042 0.000000282180 ==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_5' : d['c_0011_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_1' : - d['c_0101_0'], 'c_1010_5' : - d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_3' : 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_0101_4' : d['c_0101_1'], 'c_1100_1' : d['c_0101_1'], 'c_1010_1' : - d['c_0101_1'], 'c_1001_5' : - d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_1001_0' : - d['c_0101_2'], 'c_1010_2' : - d['c_0101_2'], 'c_1010_3' : - d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_1001_6' : - d['c_0101_2'], 'c_0011_3' : d['c_0011_3'], 'c_1010_0' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1010_6' : - d['c_0011_3'], 'c_1100_5' : - d['c_0011_3'], 'c_0110_4' : - d['c_0011_3'], 'c_0101_7' : - d['c_0011_3'], 'c_1010_7' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_0101_5' : d['c_0011_4'], 'c_0101_6' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : - d['c_0011_4'], 'c_1100_7' : d['c_0011_4'], 'c_0101_3' : - d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1010_4' : - d['c_1001_7'], 'c_1001_7' : d['c_1001_7'], 's_2_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : - d['1'], 's_0_4' : - d['1'], 's_2_3' : d['1'], 's_1_3' : d['1'], 's_0_3' : - d['1'], 's_3_2' : d['1'], 's_2_2' : - d['1'], 's_0_2' : d['1'], 's_2_1' : 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_3_3' : - d['1'], 's_2_4' : d['1'], 's_1_5' : d['1'], 's_3_1' : d['1'], 's_0_5' : d['1'], 's_1_6' : - d['1'], 's_2_6' : d['1'], 's_3_6' : - d['1'], 's_3_5' : d['1'], 's_0_6' : d['1'], 's_0_7' : - d['1'], 's_2_7' : - d['1'], 's_1_7' : d['1'], 's_3_7' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.020 Status: Saturating ideal ( 1 / 8 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 8 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 3 / 8 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 4 / 8 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 5 / 8 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 8 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 8 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 8 / 8 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 8 ] Status: Computing RadicalDecomposition Time: 0.030 Status: Number of components: 2 DECOMPOSITION=TYPE: RadicalDecomposition Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 IDEAL=DECOMPOSITION=TIME: 0.410 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_7 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_4^3 - 2*c_0011_4*c_0101_1*c_1001_7 - 2*c_0011_4^2 - 2*c_0011_4*c_0101_1 + c_0011_4*c_0101_2 + 2*c_0011_3*c_1001_7 + c_0011_4*c_1001_7 + 6*c_0101_1*c_1001_7 - c_0101_2*c_1001_7 + 9*c_0011_3 + 8*c_0011_4 + 6*c_0101_1 - 6*c_0101_2 + 3*c_1001_7 + 4, c_0011_4^2*c_0101_1 - c_0011_4^2 + c_0011_4*c_0101_2 + c_0101_1*c_1001_7 + c_0011_3 + c_0011_4 + c_0101_1 - c_0101_2 + 1, c_0011_4^2*c_0101_2 + 2*c_0011_4*c_0101_1*c_1001_7 + 2*c_0011_4^2 + 2*c_0011_4*c_0101_1 - 2*c_0011_4*c_0101_2 - c_0011_3*c_1001_7 - 3*c_0101_1*c_1001_7 + c_0101_2*c_1001_7 - 4*c_0011_3 - 2*c_0011_4 - 2*c_0101_1 + 3*c_0101_2 - c_1001_7 - 2, c_0011_3^2 + c_0011_4^2 - c_0101_1*c_1001_7, c_0011_3*c_0011_4 - c_0101_1*c_1001_7 - 2*c_0011_3 - 2*c_0011_4 - 2*c_0101_1 + c_0101_2 - c_1001_7 - 1, c_0011_3*c_0101_1 + c_0011_4*c_0101_1 - c_0011_3 - c_0011_4 + c_0101_2, c_0101_1^2 - c_0101_1 - 1, c_0011_3*c_0101_2 + c_0011_4*c_0101_2 + 2*c_0101_1*c_1001_7 + 2*c_0011_3 + 2*c_0011_4 + 2*c_0101_1 - 2*c_0101_2 + c_1001_7 + 2, c_0101_1*c_0101_2 + c_0011_3 + c_0011_4, c_0101_2^2 - c_0101_1*c_1001_7 - 2*c_0011_3 - 2*c_0011_4 - 2*c_0101_1 - c_1001_7, c_0011_0 - 1, c_0011_6 - c_0101_2 + 1, c_0101_0 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + 1, c_0011_4 + 1, c_0011_6 + 1/4*c_1001_7^2 + 1/2*c_1001_7 - 2, c_0101_0 - 1/4*c_1001_7^2 - 1/2*c_1001_7 + 2, c_0101_1 - 1/4*c_1001_7^2 - c_1001_7 + 1, c_0101_2 - 1/4*c_1001_7^2 - c_1001_7 + 1, c_1001_7^3 + 4*c_1001_7^2 - 4*c_1001_7 - 8 ] ] 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: 0.010 Status: Saturating ideal ( 1 / 8 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 8 )... Time: 0.010 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: 0.010 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: 0.010 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: 0.010 ==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_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + c_0011_4 + 3/5*c_0101_2^3 + 8/5*c_0101_2^2 - 3*c_0101_2 + 2, c_0011_4^2 + 3/5*c_0011_4*c_0101_2^3 + 8/5*c_0011_4*c_0101_2^2 - 3*c_0011_4*c_0101_2 + 2*c_0011_4 + c_0101_2^2 - c_0101_2 + 1, c_0011_6 - c_0101_2 + 1, c_0101_0 + 1, c_0101_1 - 2/5*c_0101_2^3 - 7/5*c_0101_2^2 + 2*c_0101_2 - 1, c_0101_2^4 + 2*c_0101_2^3 - 9*c_0101_2^2 + 10*c_0101_2 - 5, c_1001_7 - 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.830 seconds, Total memory usage: 32.09MB