Magma V2.22-2 Sun Aug 9 2020 22:19:14 on zickert [Seed = 1429751778] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/11_tetrahedra/L13n9354__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9354 degenerate_solution 3.66386266 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 2 0 2 2 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 -1 0 1 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 0.750000000112 0.250000001399 0 5 3 4 0132 0132 2310 3201 2 0 2 2 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 -1 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 0.750000000112 0.250000001399 6 0 6 5 0132 0132 3120 2103 2 2 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 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799999995707 0.400000000794 4 1 7 0 3201 3201 0132 0132 2 0 2 0 0 0 0 0 -8 0 9 -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 7 0 -8 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 0.000000003703 0.000000008131 8 1 0 3 0132 2310 0132 2310 2 0 0 2 0 0 0 0 0 0 0 0 -8 0 0 8 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 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -14929452.034915195778 140791076.370600014925 6 1 6 2 3201 0132 0213 2103 2 2 2 2 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 -1 0 2 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800000003039 0.400000002310 2 5 2 5 0132 0213 3120 2310 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 -1 1 0 0 1 -1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800000003039 0.400000002310 9 8 8 3 0132 2310 2310 0132 2 0 0 1 0 0 0 0 0 0 9 -9 -1 0 0 1 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8 8 1 0 0 -1 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000004762 0.000000017269 4 7 10 7 0132 3201 0132 3201 1 0 2 0 0 9 -9 0 0 0 0 0 0 0 0 0 8 -9 1 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 -7 8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999999980952 -0.000000069075 7 10 10 10 0132 2103 1302 1302 0 0 1 0 0 0 0 0 0 0 0 0 -9 -8 0 17 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 10 9 0 -19 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.000000002150 -0.000000008090 9 9 9 8 2031 2103 2031 0132 1 0 0 0 0 8 -17 9 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 -9 19 -10 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 1.999999997850 -0.000000008090 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0101_5' : 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_0011_5' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0101_2' : - d['c_0011_0'], 'c_0110_6' : - d['c_0011_0'], 'c_1100_6' : 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_1010_4' : - 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_3' : - d['c_0101_1'], 'c_1010_7' : - d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_1001_1' : - d['c_1001_0'], 'c_1010_5' : - d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_1' : - d['c_1001_2'], 'c_1001_5' : - d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : - d['c_1001_2'], 'c_1100_1' : d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0011_4' : - d['c_0011_3'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_1100_2' : - d['c_0101_6'], 'c_0110_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_1100_5' : - d['c_0101_6'], 'c_0110_5' : d['c_0101_6'], 'c_1010_6' : - d['c_0101_6'], 'c_0101_3' : - d['c_0011_10'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : - d['c_0011_10'], 'c_0101_8' : d['c_0011_10'], 'c_0101_9' : - d['c_0011_10'], 'c_0110_10' : d['c_0011_10'], 'c_1001_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1010_9' : d['c_0011_7'], 'c_0101_7' : d['c_0011_7'], 'c_0110_9' : d['c_0011_7'], 'c_1001_8' : - d['c_0011_7'], 'c_1010_10' : - d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_0011_9' : - d['c_0011_7'], 'c_1100_8' : - d['c_0011_7'], 'c_1100_10' : - d['c_0011_7'], 'c_1001_10' : - d['c_0011_7'], 'c_1001_7' : d['c_1001_7'], 'c_1010_8' : - d['c_1001_7'], 'c_1100_9' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_3_9' : d['1'], 's_2_9' : d['1'], 's_1_9' : d['1'], 's_2_8' : d['1'], 's_2_7' : d['1'], 's_1_7' : - d['1'], 's_0_7' : d['1'], 's_2_5' : - d['1'], 's_0_5' : d['1'], 's_0_4' : - 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_1_5' : - d['1'], 's_1_3' : d['1'], 's_1_4' : d['1'], 's_0_6' : - d['1'], 's_2_6' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : - d['1'], 's_0_8' : - d['1'], 's_3_6' : d['1'], 's_1_6' : - d['1'], 's_0_9' : d['1'], 's_3_8' : - d['1'], 's_1_8' : d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_0_10' : d['1'], 's_2_10' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 11 ] Status: Computing RadicalDecomposition Time: 0.010 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.310 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_0, c_1001_2, c_1001_7 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_3^2 - 1/2*c_0101_10*c_1001_2 + c_0101_1, c_0011_3*c_0101_1 + c_0011_3*c_1001_2 - 3*c_0011_3 - 3*c_0101_1 + 1/2*c_0101_10 - c_0101_6 + c_1001_2 + 1, c_0101_1^2 - 1/2*c_0101_10*c_0101_6 - 3*c_0011_3*c_1001_2 + 1/2*c_0101_10*c_1001_2 + 5*c_0011_3 + 5*c_0101_1 - c_0101_10 + 3*c_0101_6 - 2*c_1001_2 - 2, c_0011_3*c_0101_6 - c_0011_3*c_1001_2 + 2*c_0011_3 + c_0101_1 - 1, c_0101_1*c_0101_6 + c_0011_3*c_1001_2 - c_0011_3 - c_0101_1 - c_0101_6 + 1, c_0101_6^2 + c_1001_2 - 1, c_0101_1*c_1001_2 + c_0011_3 - c_1001_2, c_0101_6*c_1001_2 - c_0101_6 + c_1001_2, c_1001_2^2 - c_0101_6 - c_1001_2 + 1, c_0101_10*c_1001_7 - 2*c_0011_3 + 2*c_0101_1, c_0011_0 - 1, c_0011_10 - 1/2*c_0101_10, c_0011_7 - 1, c_0101_0 - 1, c_1001_0 - c_1001_2 ] ] 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 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 7 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 11 )... 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 11 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_1001_0, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 5*c_1001_2^2 + 9*c_1001_2 - 13, c_0011_3 - c_1001_2^2 + 2*c_1001_2 - 4, c_0011_7 - 1, c_0101_0 - 1, c_0101_1 + 4*c_1001_2^2 - 7*c_1001_2 + 9, c_0101_10 - 10*c_1001_2^2 + 18*c_1001_2 - 26, c_0101_6 - c_1001_2^2 + c_1001_2 - 1, c_1001_0 - c_1001_2, c_1001_2^3 - 2*c_1001_2^2 + 3*c_1001_2 - 1, c_1001_7 - 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: 0.520 seconds, Total memory usage: 32.09MB