Magma V2.22-2 Sun Aug 9 2020 22:18:46 on zickert [Seed = 3100923846] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/09_tetrahedra/K13n4639__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4639 degenerate_solution 0.00007724 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 2 0132 0132 0132 1023 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 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 0 0 0 318835312373.079895019531 212414066149.332641601562 0 4 6 5 0132 0132 0132 0132 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 0 9 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999999158569 0.000000203772 5 0 3 0 0321 0132 3201 1023 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 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 0.000000467934 0.000001546379 2 7 7 0 2310 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 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 0.000000467933 0.000001546376 5 1 7 8 3012 0132 0321 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 0 -1 1 0 0 0 0 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.000000235358 0.000000479799 2 7 1 4 0321 0321 0132 1230 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 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000233966 0.000000773191 8 8 8 1 0321 0321 3012 0132 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 0 0 0 10 0 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250000126486 0.000000034149 3 3 4 5 2310 0132 0321 0321 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 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 -179266.811803134595 592425.448427639902 6 6 4 6 0321 1230 0132 0321 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 -1 0 0 0 0 0 0 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199999851195 0.000000021673 ==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_4' : d['c_0011_0'], 'c_0110_5' : d['c_0011_0'], 'c_0101_2' : - 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_0101_5' : d['c_0101_0'], 'c_1001_6' : - d['c_0011_8'], 'c_1100_4' : - d['c_0011_8'], 'c_0110_0' : - d['c_0011_8'], 'c_0101_1' : - d['c_0011_8'], 'c_1001_0' : - d['c_0011_8'], 'c_1010_2' : - d['c_0011_8'], 'c_1010_3' : - d['c_0011_8'], 'c_0110_6' : - d['c_0011_8'], 'c_1001_7' : - d['c_0011_8'], 'c_1100_8' : - d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_1010_0' : - d['c_0011_5'], 'c_1001_2' : - d['c_0011_5'], 'c_0110_2' : - d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], 'c_0110_7' : - d['c_0011_5'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0011_7' : - d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0110_4' : - d['c_0101_6'], 'c_1100_1' : - d['c_0101_6'], 'c_1100_6' : - d['c_0101_6'], 'c_1100_5' : - d['c_0101_6'], 'c_0101_8' : - d['c_0101_6'], 'c_1001_1' : d['c_0101_6'], 'c_1010_4' : d['c_0101_6'], 'c_1010_6' : d['c_0101_6'], 'c_1001_8' : d['c_0101_6'], 'c_1010_8' : d['c_0101_6'], 'c_1010_1' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_5' : d['c_1001_4'], 'c_1100_7' : d['c_1001_4'], 'c_0101_4' : d['c_0101_4'], 'c_1010_5' : d['c_0101_4'], 'c_1001_3' : d['c_0101_4'], 'c_1010_7' : d['c_0101_4'], 'c_0101_7' : - d['c_0101_4'], 'c_0011_6' : d['c_0011_6'], 'c_0110_8' : - d['c_0011_6'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_0_6' : - d['1'], 's_1_5' : d['1'], 's_3_4' : - d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_2_3' : d['1'], 's_1_3' : d['1'], 's_2_2' : d['1'], 's_0_2' : d['1'], 's_3_1' : 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_3_2' : d['1'], 's_1_4' : - d['1'], 's_3_6' : - d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_0_3' : d['1'], 's_1_7' : d['1'], 's_0_7' : d['1'], 's_3_5' : d['1'], 's_2_7' : d['1'], 's_2_8' : - d['1'], 's_3_7' : d['1'], 's_0_8' : - d['1'], 's_3_8' : d['1'], 's_1_8' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.040 Status: Saturating ideal ( 1 / 9 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 9 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 3 / 9 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 4 / 9 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 9 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 6 / 9 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 7 / 9 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 8 / 9 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 9 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Dimension of ideal: 1 [ 9 ] Status: Computing RadicalDecomposition Time: 0.010 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.550 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_4, c_0101_6, c_1001_4 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_8*c_0101_6*c_1001_4 + c_0011_8*c_1001_4^2 + c_0101_0*c_1001_4^2 - c_0011_8*c_0101_6 - c_0011_3*c_1001_4 - c_0011_8*c_1001_4 - c_0101_0*c_1001_4 + c_0101_6*c_1001_4 + c_0101_0 - c_0101_4 - c_0101_6 + c_1001_4 - 1, c_0011_3^2 + c_0011_3*c_1001_4 + c_0101_0*c_1001_4 - c_1001_4^2 - c_0011_3 - 2*c_0101_0 + c_0101_4 + 1, c_0011_3*c_0011_6 + 3*c_0011_6*c_1001_4 + c_0011_8*c_1001_4 + 5*c_0101_6*c_1001_4 - 3*c_0011_6 - c_0011_8 - 5*c_0101_6, c_0011_6^2 - 4*c_0011_8*c_0101_6 - 5*c_0011_3*c_1001_4 - 5*c_0011_6*c_1001_4 - 5*c_0011_8*c_1001_4 - 5*c_0101_0*c_1001_4 - 5*c_0101_6*c_1001_4 + 5*c_1001_4^2 + 5*c_0011_3 + 5*c_0011_8 + 10*c_0101_0 - 5*c_0101_4 - 5*c_0101_6 + 5*c_1001_4 - 5, c_0011_3*c_0011_8 + c_0011_6*c_1001_4 + c_0011_8*c_1001_4 + 2*c_0101_6*c_1001_4 - c_0011_6 - c_0011_8 - 2*c_0101_6, c_0011_6*c_0011_8 + 2*c_0011_8*c_0101_6 - c_0011_3*c_1001_4 - c_0011_6*c_1001_4 - c_0011_8*c_1001_4 - c_0101_0*c_1001_4 - 2*c_0101_6*c_1001_4 + c_0011_3 + c_0011_6 + c_0101_0 - c_0101_4 + 2*c_0101_6 + c_1001_4 - 1, c_0011_8^2 - c_0011_8*c_0101_6 - c_0011_3*c_1001_4 - c_0011_6*c_1001_4 - c_0011_8*c_1001_4 - c_0101_0*c_1001_4 - c_0101_6*c_1001_4 + c_1001_4^2 + c_0011_3 + c_0011_8 + 2*c_0101_0 - c_0101_4 - c_0101_6 + c_1001_4 - 1, c_0011_3*c_0101_0 + c_0011_3*c_1001_4 + c_0101_0*c_1001_4 - c_0011_3 - c_0101_0 - c_1001_4 + 1, c_0011_6*c_0101_0 + c_0011_6*c_1001_4 + 3*c_0011_8*c_1001_4 + 2*c_0101_6*c_1001_4 - c_0011_6, c_0011_8*c_0101_0 + c_0011_6*c_1001_4 + c_0101_6*c_1001_4 - c_0011_8, c_0101_0^2 + c_0011_8*c_0101_6 + c_0011_3*c_1001_4 + c_0011_8*c_1001_4 + c_0101_0*c_1001_4 - c_1001_4^2 - 2*c_0101_0 + c_0101_4 + c_0101_6 - c_1001_4 + 1, c_0011_3*c_0101_4 - c_0011_3*c_1001_4 + c_0011_3 + c_0101_0 - c_0101_4 + c_1001_4 - 1, c_0011_6*c_0101_4 - c_0011_6*c_1001_4 + c_0011_6 + 3*c_0011_8 + 2*c_0101_6, c_0011_8*c_0101_4 - c_0011_8*c_1001_4 + c_0011_6 + c_0101_6, c_0101_0*c_0101_4 + c_0011_8*c_0101_6 + c_0011_8*c_1001_4 + c_0101_6 - c_1001_4, c_0101_4^2 + c_0011_8*c_0101_6 + c_0011_8*c_1001_4 + c_0101_0*c_1001_4 - c_1001_4^2 - c_0011_3 - 2*c_0101_0 + c_0101_4 + c_0101_6 - c_1001_4 + 1, c_0011_3*c_0101_6 - c_0011_6*c_1001_4 - 2*c_0101_6*c_1001_4 + c_0011_6 + 2*c_0101_6, c_0011_6*c_0101_6 + c_0011_8*c_0101_6 + c_0011_3*c_1001_4 + c_0011_6*c_1001_4 + c_0011_8*c_1001_4 + c_0101_0*c_1001_4 - 2*c_1001_4^2 - c_0011_3 + c_0011_6 - 2*c_0011_8 - 3*c_0101_0 + c_0101_4 + 4*c_0101_6 - c_1001_4 + 1, c_0101_0*c_0101_6 - c_0011_8*c_1001_4 - c_0101_6, c_0101_4*c_0101_6 - c_0101_6*c_1001_4 - c_0011_8, c_0101_6^2 + c_0101_6*c_1001_4 + c_1001_4^2 - c_0011_6 + c_0011_8 + c_0101_0 - 3*c_0101_6, c_0101_4*c_1001_4 - c_1001_4^2 - c_0101_0 + 1, c_0011_0 - 1, c_0011_5 - c_0011_8 - c_0101_0 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_4" ] ] 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 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: -1 Status: Testing witness [ 1 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 9 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 9 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 9 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 9 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 9 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 9 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 2 ] ... 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 9 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_4, c_0101_6, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + 5/533*c_0101_6^5 + 79/533*c_0101_6^4 + 266/533*c_0101_6^3 + 64/41*c_0101_6^2 + 950/533*c_0101_6 + 1906/533, c_0011_5 + 59/533*c_0101_6^5 + 186/533*c_0101_6^4 + 687/533*c_0101_6^3 + 91/41*c_0101_6^2 + 2149/533*c_0101_6 + 1917/533, c_0011_6 + 59/533*c_0101_6^5 + 186/533*c_0101_6^4 + 687/533*c_0101_6^3 + 50/41*c_0101_6^2 + 2682/533*c_0101_6 - 215/533, c_0011_8 + 35/533*c_0101_6^5 + 20/533*c_0101_6^4 + 263/533*c_0101_6^3 - 3/41*c_0101_6^2 + 787/533*c_0101_6 - 516/533, c_0101_0 + 24/533*c_0101_6^5 + 166/533*c_0101_6^4 + 424/533*c_0101_6^3 + 94/41*c_0101_6^2 + 1362/533*c_0101_6 + 2433/533, c_0101_4 + 12/533*c_0101_6^5 + 83/533*c_0101_6^4 + 212/533*c_0101_6^3 + 47/41*c_0101_6^2 + 681/533*c_0101_6 + 417/533, c_0101_6^6 + 4*c_0101_6^5 + 16*c_0101_6^4 + 29*c_0101_6^3 + 60*c_0101_6^2 + 58*c_0101_6 + 43, c_1001_4 - 2 ] ==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: 0.840 seconds, Total memory usage: 32.09MB