Magma V2.22-2 Sun Aug 9 2020 22:19:35 on zickert [Seed = 1011877879] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L14n58673__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58673 degenerate_solution 0.00000026 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 -0.000000000000 torus 0.000000000000 -0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -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 0.750000000014 0.000000000236 0 4 3 5 0132 2310 3012 0132 1 0 0 0 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 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 0 0 0 0 0 0.666666666691 0.000000000419 4 0 6 4 1230 0132 0132 1230 0 1 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 1 -1 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 0.666666666654 -0.000000000209 5 1 7 0 0132 1230 0132 0132 0 0 0 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666666666691 0.000000000419 2 2 0 1 3012 3012 0132 3201 0 0 1 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 -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 -1.999999999889 0.000000001884 3 6 1 8 0132 3012 0132 0132 1 0 1 0 0 0 1 -1 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 3 -3 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000269 0.000000007995 5 7 7 2 1230 0213 1302 0132 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 0 0 0 0 -1 1 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 0.000000000090 0.000000002665 6 9 6 3 2031 0132 0213 0132 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 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 1.000000000090 0.000000002665 9 10 5 9 3012 0132 0132 3012 1 0 2 1 0 17 1 -18 0 0 0 0 0 -18 0 18 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 52 3 -55 0 0 0 0 0 -53 0 53 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000183 0.000000020457 11 7 8 8 0132 0132 1230 1230 0 2 1 1 0 0 0 0 18 0 -18 0 0 0 0 0 -18 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 53 0 -53 0 0 0 0 0 -55 0 55 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.000000000732 -0.000000081828 11 8 11 11 3201 0132 0321 3201 1 1 1 2 0 -17 -1 18 0 0 -18 18 1 -1 0 0 -37 18 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -52 -3 55 0 0 -55 55 3 -3 0 0 -109 53 56 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999999990 -0.000000001113 9 10 10 10 0132 2310 0321 2310 1 2 1 1 0 0 1 -1 -18 0 -19 37 18 -18 0 0 0 -18 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 -53 0 -56 109 55 -55 0 0 0 -55 55 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999999999960 -0.000000004452 ==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_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_4' : d['c_0011_0'], 'c_1010_0' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_1001_4' : d['c_0011_0'], 'c_1010_6' : d['c_0011_0'], 'c_1100_7' : d['c_0011_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_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_1001_0' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_3' : d['c_0101_1'], 'c_0101_2' : - d['c_0011_3'], 'c_1001_1' : - d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0110_6' : - d['c_0011_3'], 'c_0011_5' : - d['c_0011_3'], 'c_1100_2' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1010_1' : - d['c_0011_6'], 'c_0110_4' : d['c_0011_6'], 'c_1001_5' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0011_6'], 'c_1100_1' : - d['c_1001_3'], 'c_1001_3' : d['c_1001_3'], 'c_1100_5' : - d['c_1001_3'], 'c_1010_7' : d['c_1001_3'], 'c_1100_8' : - d['c_1001_3'], 'c_1001_9' : d['c_1001_3'], 'c_0110_2' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_1001_6' : d['c_0101_3'], 'c_1001_7' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_7' : d['c_0101_3'], 'c_0101_8' : d['c_0101_3'], 'c_1010_9' : d['c_0101_3'], 'c_1010_5' : d['c_0011_11'], 'c_0101_6' : - d['c_0011_11'], 'c_1001_8' : d['c_0011_11'], 'c_0011_7' : d['c_0011_11'], 'c_0011_9' : - d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1100_10' : - d['c_0011_11'], 'c_1001_11' : - d['c_0011_11'], 'c_0101_10' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], 'c_1001_10' : d['c_0011_10'], 'c_0101_9' : - d['c_0011_10'], 'c_0110_11' : - d['c_0011_10'], 'c_0011_8' : - d['c_0011_10'], 'c_0110_9' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_11' : - d['c_0011_10'], 'c_1100_11' : d['c_0011_10'], 'c_0110_8' : d['c_0110_8'], 'c_1100_9' : d['c_0110_8'], 'c_0110_10' : d['c_0110_10'], 'c_1010_11' : - d['c_0110_10'], 's_3_10' : d['1'], 's_2_10' : d['1'], 's_0_10' : d['1'], 's_0_9' : d['1'], 's_3_8' : d['1'], 's_1_8' : d['1'], 's_0_8' : d['1'], 's_1_7' : d['1'], 's_2_6' : d['1'], 's_1_6' : - d['1'], 's_3_5' : d['1'], 's_1_5' : 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_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_2_4' : - d['1'], 's_3_4' : d['1'], 's_1_3' : d['1'], 's_2_5' : d['1'], 's_1_4' : d['1'], 's_3_6' : - d['1'], 's_0_4' : - d['1'], 's_0_5' : d['1'], 's_3_7' : - d['1'], 's_0_6' : d['1'], 's_2_8' : d['1'], 's_2_7' : - d['1'], 's_0_7' : d['1'], 's_1_9' : d['1'], 's_3_9' : d['1'], 's_1_10' : d['1'], 's_2_9' : d['1'], 's_0_11' : d['1'], 's_3_11' : d['1'], 's_2_11' : d['1'], 's_1_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 4 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 8 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 11 ] Status: Computing RadicalDecomposition Time: 0.020 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.370 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_10, c_0110_8, c_1001_3 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0110_8*c_1001_3^2 + c_0011_6*c_0110_8 - 2*c_0011_6 + c_0101_3 - 3*c_1001_3 + 1, c_1001_3^3 - 1/2*c_0011_6*c_0110_10 - c_0110_10*c_1001_3 + c_1001_3^2 + 2*c_0011_6 + c_0101_3 + c_1001_3 - 1, c_0011_6^2 + c_0101_3 - 1/2*c_0110_10, c_0011_6*c_0101_3 + c_1001_3^2 + c_0011_6 - 1/2*c_0110_10 + c_1001_3, c_0101_3^2 - c_1001_3^2 - 2*c_0011_6 - c_0101_3 - c_1001_3 + 1, c_0101_3*c_0110_10 + c_0110_10*c_1001_3 + 2*c_1001_3^2 + 2*c_0011_6 - 2*c_0110_10, c_0110_10*c_0110_8 + 2*c_0101_3 - 2*c_1001_3, c_0011_6*c_1001_3 - c_1001_3^2 - 2*c_0011_6 - c_0101_3 + 1/2*c_0110_10 - c_1001_3 + 1, c_0101_3*c_1001_3 + c_1001_3^2 + c_0011_6 - 1, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1/2*c_0110_10, c_0011_3 + 1, c_0011_4 + c_0011_6 - c_0101_3 - c_1001_3 + 1, c_0101_0 + c_0101_3 + c_1001_3 - 1, c_0101_1 - c_0101_3 - c_1001_3 + 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0110_8" ] ] 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 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... 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 12 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0110_10, c_0110_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1/5*c_1001_3^3 - 8/5*c_1001_3^2 + c_1001_3 - 1/5, c_0011_3 + 1, c_0011_4 + c_1001_3^2 - 4*c_1001_3 + 2, c_0011_6 - 1/5*c_1001_3^3 + 3/5*c_1001_3^2 + c_1001_3 - 4/5, c_0101_0 + 1/5*c_1001_3^3 - 8/5*c_1001_3^2 + 3*c_1001_3 - 6/5, c_0101_1 - 1/5*c_1001_3^3 + 8/5*c_1001_3^2 - 3*c_1001_3 + 6/5, c_0101_3 - 1/5*c_1001_3^3 + 8/5*c_1001_3^2 - 2*c_1001_3 + 1/5, c_0110_10 + 2/5*c_1001_3^3 - 16/5*c_1001_3^2 + 2*c_1001_3 - 2/5, c_0110_8 - 1, c_1001_3^4 - 7*c_1001_3^3 + 12*c_1001_3^2 - 6*c_1001_3 - 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: 0.600 seconds, Total memory usage: 32.09MB