Magma V2.22-2 Sun Aug 9 2020 22:19:13 on zickert [Seed = 1143523297] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/10_tetrahedra/L9n19__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L9n19 degenerate_solution 0.00000040 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 2 3 0132 0132 0132 0132 1 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 -1 0 1 1 0 -1 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 0.333333333318 -0.000000003078 0 4 2 5 0132 0132 0321 0132 1 0 0 0 0 0 0 0 0 0 1 -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 0 1 -1 -1 0 -1 2 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.999999999936 -0.000000000918 5 0 1 0 0321 0132 0321 0132 1 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 1 -1 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 3.000000000138 0.000000027704 5 6 0 7 1302 0132 0132 0132 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 0 0 0 0 0 0 -1 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 0 0 0 -0.000000000020 0.000000004179 5 1 7 8 3012 0132 3201 0132 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999999920 0.000000016716 2 3 1 4 0321 2031 0132 1230 1 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 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000016 -0.000000000229 9 3 8 9 0132 0132 0132 0132 1 1 0 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333333333325 0.000000000027 4 9 3 8 2310 2310 0132 0321 1 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 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 -0.999999999922 -0.000000000237 9 7 4 6 1023 0321 0132 0132 1 1 1 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 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 -0.999999999922 -0.000000000237 6 8 6 7 0132 1023 0132 3201 1 1 1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.000000000079 -0.000000000237 ==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_0110_0' : - d['c_0011_5'], 'c_0101_1' : - d['c_0011_5'], 'c_0101_3' : - d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_0' : - d['c_0011_5'], 'c_0110_1' : - d['c_0011_5'], 'c_0110_2' : - d['c_0011_5'], 'c_0101_5' : - d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_0110_4' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_8'], 'c_1001_2' : d['c_0101_8'], 'c_1001_3' : d['c_0101_8'], 'c_1100_5' : d['c_0101_8'], 'c_1010_6' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_1001_9' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1100_0' : d['c_1001_1'], 'c_1100_2' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_7' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_0110_3' : d['c_0101_7'], 'c_1010_1' : - d['c_0101_7'], 'c_1001_4' : - d['c_0101_7'], 'c_1001_5' : - d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_4' : d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_0011_6' : - d['c_0011_3'], 'c_0110_7' : - d['c_0011_3'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_1010_7' : - d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_6'], 'c_1010_3' : - d['c_0101_6'], 'c_1001_6' : - d['c_0101_6'], 'c_1001_7' : - d['c_0101_6'], 'c_1010_8' : - d['c_0101_6'], 'c_1010_9' : d['c_0101_6'], 'c_1100_6' : - d['c_0011_7'], 'c_1100_4' : - d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_1100_8' : - d['c_0011_7'], 'c_1100_9' : - d['c_0011_7'], 'c_0110_6' : d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 's_0_8' : d['1'], 's_3_7' : d['1'], 's_1_7' : d['1'], 's_3_6' : d['1'], 's_2_6' : - d['1'], 's_0_6' : d['1'], 's_3_4' : - d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_3_3' : d['1'], 's_1_3' : - d['1'], 's_0_3' : - 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_2' : d['1'], 's_2_3' : d['1'], 's_1_4' : - d['1'], 's_2_2' : - d['1'], 's_2_5' : - d['1'], 's_0_5' : d['1'], 's_1_5' : - d['1'], 's_1_6' : - d['1'], 's_2_7' : d['1'], 's_3_5' : d['1'], 's_0_7' : d['1'], 's_2_8' : - d['1'], 's_0_9' : d['1'], 's_3_8' : - d['1'], 's_2_9' : d['1'], 's_3_9' : d['1'], 's_1_8' : d['1'], 's_1_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 3 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 5 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 5 ] Status: Computing RadicalDecomposition Time: 0.010 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.320 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_6, c_0101_7, c_0101_8, c_0101_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_7^2 - c_0011_7*c_0101_6 - c_0101_6^2, c_0011_7*c_0101_7 + 2*c_0011_7*c_1001_1 - c_0101_6*c_1001_1 - c_0101_6, c_0101_6*c_0101_7 - c_0011_7*c_1001_1 + 3*c_0101_6*c_1001_1 - c_0011_7 + c_0101_6, c_0101_7^2 + 10/11*c_0011_7 + 15/11*c_0101_6 + 6/11*c_0101_7 + 5/11*c_1001_1 + 4/11, c_0011_7*c_0101_9 - c_0011_7*c_1001_1 + 2*c_0101_6*c_1001_1 - 2*c_0011_7, c_0101_6*c_0101_9 + 2*c_0011_7*c_1001_1 - 3*c_0101_6*c_1001_1 - 2*c_0101_6, c_0101_7*c_0101_9 + 7/11*c_0011_7 - 6/11*c_0101_6 - 9/11*c_0101_7 - 1/2*c_0101_9 + 29/22*c_1001_1 + 5/11, c_0101_9^2 - 5/11*c_0011_7 + 9/11*c_0101_6 - 14/11*c_0101_7 - 3/2*c_0101_9 - 27/22*c_1001_1 - 2/11, c_0101_7*c_1001_1 - 9/11*c_0011_7 - 8/11*c_0101_6 - 1/11*c_0101_7 - 1/2*c_0101_9 + 13/22*c_1001_1 + 3/11, c_0101_9*c_1001_1 - 3/11*c_0011_7 + 1/11*c_0101_6 - 4/11*c_0101_7 + 1/2*c_0101_9 - 47/22*c_1001_1 - 10/11, c_1001_1^2 + 7/11*c_0011_7 + 5/11*c_0101_6 + 2/11*c_0101_7 + 1/2*c_0101_9 - 15/22*c_1001_1 - 6/11, c_0011_0 - 1, c_0011_3 + c_0101_7 - 1/2*c_0101_9 + 3/2*c_1001_1 + 1, c_0011_5 + c_0101_7 + 1/2*c_0101_9 + 3/2*c_1001_1, c_0101_8 - 1/2*c_0101_9 + 1/2*c_1001_1, c_1001_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_6" ] ] 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 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 10 )... 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: 0.010 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_6, c_0101_7, c_0101_8, c_0101_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 - 11/6*c_1001_1^3 + 10/9*c_1001_1^2 - 8/3*c_1001_1 - 19/18, c_0011_5 - 11/18*c_1001_1^3 - 4/9*c_1001_1^2 - 1/9*c_1001_1 - 11/18, c_0011_7 + 11/18*c_1001_1^3 + 4/9*c_1001_1^2 + 1/9*c_1001_1 + 11/18, c_0101_6 - 1, c_0101_7 + 11/9*c_1001_1^3 - 1/3*c_1001_1^2 + 26/9*c_1001_1 + 4/3, c_0101_8 - 11/18*c_1001_1^3 + 7/9*c_1001_1^2 - 7/9*c_1001_1 - 13/18, c_0101_9 - 11/9*c_1001_1^3 + 14/9*c_1001_1^2 - 23/9*c_1001_1 - 13/9, c_1001_0 - 1, c_1001_1^4 - 3/11*c_1001_1^3 + 16/11*c_1001_1^2 + 15/11*c_1001_1 + 5/11 ] ==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: 0.480 seconds, Total memory usage: 32.09MB