Magma V2.22-2 Sun Aug 9 2020 22:19:59 on zickert [Seed = 1981433743] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L13n9499__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9499 degenerate_solution 6.13813897 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 -0.000000000000 13 1 2 1 1 0132 0132 0213 0132 0 1 1 1 0 3 2 -5 -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 -4 -3 7 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 0.499999999920 -0.000000000391 0 0 0 3 0132 0213 0132 0132 0 1 1 1 0 -2 5 -3 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 3 -7 4 -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 1.999999999678 -0.000000001562 4 0 3 3 0132 0132 0213 0213 0 2 1 1 0 -3 3 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 1 0 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.999999999188 -0.000000007660 5 2 1 2 0132 0213 0132 0213 0 1 2 1 0 -3 3 0 -1 0 1 0 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 1 0 -1 0 -1 1 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999999999188 0.000000007660 2 5 6 7 0132 0321 0132 0132 2 2 1 1 0 0 0 0 0 0 0 0 -4 0 0 4 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000002598 0.000000005035 3 6 7 4 0132 3120 1302 0321 2 1 1 2 0 -1 1 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 -1 0 1 0 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 73488065.073528662324 295495586.804405629635 7 5 8 4 1230 3120 0132 0132 2 2 1 2 0 0 0 0 0 0 0 0 -3 3 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 2 -2 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.296844820864 1.137728959069 5 6 4 9 2031 3012 0132 0132 2 2 2 1 0 0 0 0 -1 0 0 1 0 0 0 0 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 0 -1 8 1 0 0 -1 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.296844840087 1.137728963952 10 10 9 6 0132 1302 0132 0132 2 2 2 2 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 -7 0 7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214709134485 0.822924205454 11 12 7 8 0132 0132 0132 0132 2 2 2 2 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 0 0 0 0 0 0 0 0 8 0 -8 0 7 -8 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214709130346 0.822924207844 8 11 12 8 0132 3120 1230 2031 2 2 2 2 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 -7 0 7 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 0.606924310605 0.636009823654 9 10 12 12 0132 3120 1023 3120 2 2 2 2 0 0 -1 1 -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 0 -8 8 -8 0 0 8 1 -1 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431135519108 0.351577585343 11 9 11 10 3120 0132 1023 3012 2 2 2 2 0 0 0 0 -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 0 0 0 -8 0 8 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.175788791992 0.784432241688 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0101_0' : - d['c_0011_0'], 'c_0110_1' : - 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_3' : - d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0110_5' : - d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_0'], 'c_1001_2' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1001_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_0101_2' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0011_5' : - d['c_0011_3'], 'c_0101_7' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1010_6' : d['c_0011_3'], 'c_0110_2' : d['c_0011_7'], 'c_0101_4' : d['c_0011_7'], 'c_0110_3' : - d['c_0011_7'], 'c_0101_5' : - d['c_0011_7'], 'c_0110_6' : d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_1100_2' : d['c_1010_3'], 'c_1010_3' : d['c_1010_3'], 'c_1010_4' : - d['c_0011_6'], 'c_1010_5' : - d['c_0011_6'], 'c_1001_7' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1100_4' : d['c_1100_4'], 'c_1100_6' : d['c_1100_4'], 'c_1100_7' : d['c_1100_4'], 'c_1100_8' : d['c_1100_4'], 'c_1100_9' : d['c_1100_4'], 'c_1001_5' : d['c_0101_9'], 'c_1001_6' : - d['c_0101_9'], 'c_0110_7' : d['c_0101_9'], 'c_1010_8' : - d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 'c_1100_10' : d['c_0101_9'], 'c_0110_11' : d['c_0101_9'], 'c_0110_12' : d['c_0101_9'], 'c_0101_6' : d['c_0101_10'], 'c_1010_7' : - d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_1001_9' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1010_12' : - d['c_0101_10'], 'c_0011_8' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1010_10' : - d['c_0011_10'], 'c_1010_11' : - d['c_0011_10'], 'c_0011_9' : - d['c_0011_10'], 'c_0011_11' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1001_8' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_9' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1001_12' : d['c_0101_11'], 'c_1100_11' : - d['c_0101_12'], 'c_1001_10' : - d['c_0101_12'], 'c_1001_11' : d['c_0101_12'], 'c_1100_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 's_3_11' : - d['1'], 's_2_11' : d['1'], 's_2_10' : d['1'], 's_1_10' : d['1'], 's_1_9' : - d['1'], 's_0_9' : - d['1'], 's_2_8' : d['1'], 's_1_8' : d['1'], 's_0_8' : d['1'], 's_3_7' : d['1'], 's_2_6' : d['1'], 's_0_6' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_3_4' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_0_3' : d['1'], 's_3_2' : d['1'], 's_2_2' : d['1'], 's_0_2' : d['1'], 's_3_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_1_1' : d['1'], 's_2_1' : d['1'], 's_2_3' : d['1'], 's_0_4' : d['1'], 's_1_3' : d['1'], 's_3_3' : d['1'], 's_0_5' : d['1'], 's_3_5' : d['1'], 's_3_6' : d['1'], 's_2_7' : d['1'], 's_1_6' : d['1'], 's_0_7' : d['1'], 's_1_7' : d['1'], 's_3_8' : d['1'], 's_2_9' : d['1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_9' : d['1'], 's_0_11' : - d['1'], 's_1_12' : - d['1'], 's_1_11' : d['1'], 's_3_12' : d['1'], 's_2_12' : d['1'], 's_0_12' : - d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 3 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 8 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 13 ] Status: Computing RadicalDecomposition Time: 0.030 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.470 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_9, c_1001_0, c_1010_3, c_1100_4 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_1010_3^6 - c_1010_3^5 + c_0011_6^4 + 5*c_1010_3^4 + 7*c_0011_6^3 - 9*c_1010_3^3 + 3*c_0101_10*c_1010_3*c_1100_4 + 7*c_1010_3*c_1100_4^2 + c_1100_4^3 + 25*c_0011_6^2 - 4*c_0011_10*c_1010_3 - 8*c_0101_10*c_1010_3 - 5*c_0101_12*c_1010_3 + 15*c_1010_3^2 - 5*c_0101_10*c_1100_4 - 3*c_0101_12*c_1100_4 - 17*c_1010_3*c_1100_4 - 13*c_1100_4^2 - 3*c_0011_10 + 59*c_0011_6 + 7*c_0101_10 - c_0101_11 - 27*c_1010_3 + 40*c_1100_4 + 39, c_0011_6^5 - c_1010_3^5 + 7*c_0011_6^4 + 2*c_1010_3^4 + 25*c_0011_6^3 - 7*c_1010_3^3 + 59*c_0011_6^2 + 16*c_1010_3^2 - 5*c_0101_10*c_1100_4 - 14*c_1100_4^2 + 5*c_0011_10 + 97*c_0011_6 + 19*c_0101_10 + 8*c_0101_12 - 31*c_1010_3 + 62*c_1100_4 + 58, c_0011_10*c_1010_3^2 - c_0101_11*c_1010_3 + c_0101_12*c_1010_3 + c_0011_10*c_1100_4 - c_0101_11 + c_0101_12, c_0101_10*c_1010_3^2 + c_0101_12*c_1010_3 + c_0101_10*c_1100_4 - c_1010_3*c_1100_4 + c_0101_12 - c_1100_4, c_0101_11*c_1010_3^2 + c_0011_10*c_1010_3 + c_0101_11*c_1010_3 + c_0101_11*c_1100_4 + c_0011_10 + c_0101_11, c_0101_12*c_1010_3^2 + c_0011_10*c_1010_3 - c_0101_10*c_1010_3 + c_0101_12*c_1100_4 - 2*c_1010_3*c_1100_4 + c_0011_10 - c_0101_10 - 2*c_1100_4, c_1010_3^2*c_1100_4 + c_0101_10*c_1010_3 + 2*c_1010_3*c_1100_4 + c_1100_4^2 + c_0101_10 + 2*c_1100_4, c_0011_10^2 + c_0011_10*c_1100_4 + c_0101_11*c_1100_4 - c_0101_12*c_1100_4 - c_1100_4^2, c_0011_10*c_0011_6 - c_0011_10*c_1010_3 + c_0011_10 + c_0101_11 - c_0101_12, c_0011_10*c_0101_10 + 2*c_0011_10*c_1100_4 + c_0101_11*c_1100_4 - c_0101_12*c_1100_4, c_0011_6*c_0101_10 - c_0101_10*c_1010_3 + c_0101_10 - c_0101_12 + c_1100_4, c_0101_10^2 + 2*c_0101_10*c_1100_4 - c_0101_12*c_1100_4 + c_1100_4^2, c_0011_10*c_0101_11 - c_0011_10*c_1100_4 + c_0101_10*c_1100_4 - c_0101_11*c_1100_4 + c_0101_12*c_1100_4 + 2*c_1100_4^2, c_0011_6*c_0101_11 - c_0101_11*c_1010_3 - c_0011_10, c_0101_10*c_0101_11 - c_0011_10*c_1100_4 + c_0101_11*c_1100_4, c_0101_11^2 + c_0011_10*c_1100_4 - c_0101_10*c_1100_4 + c_0101_11*c_1100_4 - c_0101_12*c_1100_4 - c_1100_4^2, c_0011_10*c_0101_12 - c_0011_10*c_1100_4 + c_0101_10*c_1100_4 - c_0101_11*c_1100_4 + 2*c_0101_12*c_1100_4 + 2*c_1100_4^2, c_0011_6*c_0101_12 - c_0101_12*c_1010_3 - c_0011_10 + c_0101_10 + c_0101_12 + 2*c_1100_4, c_0101_10*c_0101_12 - c_0011_10*c_1100_4 + c_0101_10*c_1100_4 + 2*c_0101_12*c_1100_4 + 2*c_1100_4^2, c_0101_11*c_0101_12 + c_0011_10*c_1100_4 + c_0101_11*c_1100_4 - c_0101_12*c_1100_4, c_0101_12^2 + 2*c_0011_10*c_1100_4 + c_0101_11*c_1100_4 - c_0101_12*c_1100_4 - c_1100_4^2, c_0011_6*c_1010_3 + c_0011_6 + c_1100_4 + 1, c_0011_6*c_1100_4 - c_1010_3*c_1100_4 - c_0101_10 - c_1100_4, c_0011_0 - 1, c_0011_3 - 1, c_0011_7 - c_1010_3 - 1, c_0101_1 + 2, c_0101_9 - c_1100_4, c_1001_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1100_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 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... 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: 0.040 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_9, c_1001_0, c_1010_3, c_1100_4 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 3/16*c_1010_3^9 - 3/4*c_1010_3^8 - 5/2*c_1010_3^7 - 87/16*c_1010_3^6 - 135/16*c_1010_3^5 - 173/16*c_1010_3^4 - 69/8*c_1010_3^3 - 85/16*c_1010_3^2 - 5/4*c_1010_3 - 11/16, c_0011_3 - 1, c_0011_6 - 1/16*c_1010_3^9 - 1/8*c_1010_3^8 - 5/8*c_1010_3^7 - 11/16*c_1010_3^6 - 29/16*c_1010_3^5 - 13/16*c_1010_3^4 - 17/8*c_1010_3^3 + 9/16*c_1010_3^2 - 15/8*c_1010_3 + 25/16, c_0011_7 - c_1010_3 - 1, c_0101_1 + 2, c_0101_10 - 1/16*c_1010_3^9 - 1/8*c_1010_3^8 - 5/8*c_1010_3^7 - 11/16*c_1010_3^6 - 29/16*c_1010_3^5 - 13/16*c_1010_3^4 - 17/8*c_1010_3^3 + 9/16*c_1010_3^2 - 7/8*c_1010_3 + 41/16, c_0101_11 + 7/16*c_1010_3^9 + 9/8*c_1010_3^8 + 35/8*c_1010_3^7 + 105/16*c_1010_3^6 + 183/16*c_1010_3^5 + 163/16*c_1010_3^4 + 75/8*c_1010_3^3 + 57/16*c_1010_3^2 + 19/8*c_1010_3 + 9/16, c_0101_12 + 5/16*c_1010_3^9 + 3/4*c_1010_3^8 + 13/4*c_1010_3^7 + 73/16*c_1010_3^6 + 149/16*c_1010_3^5 + 119/16*c_1010_3^4 + 71/8*c_1010_3^3 + 35/16*c_1010_3^2 + 9/4*c_1010_3 - 15/16, c_0101_9 - 1, c_1001_0 - 1, c_1010_3^10 + 3*c_1010_3^9 + 12*c_1010_3^8 + 21*c_1010_3^7 + 40*c_1010_3^6 + 42*c_1010_3^5 + 47*c_1010_3^4 + 25*c_1010_3^3 + 21*c_1010_3^2 + 5*c_1010_3 + 7, c_1100_4 - 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: 1.090 seconds, Total memory usage: 32.09MB