Magma V2.22-2 Sun Aug 9 2020 22:20:11 on zickert [Seed = 1076647835] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L14n57032__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57032 degenerate_solution 8.99735220 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 -0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 1 -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 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999996854 1.000000000142 0 3 5 4 0132 3120 0132 3201 1 0 1 1 0 1 0 -1 1 0 0 -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 -2 0 2 0 0 0 0 1 0 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999998199 1.000000001132 5 0 6 3 1302 0132 0132 0132 1 0 1 1 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 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999999961 0.500000000272 6 1 2 0 1302 3120 0132 0132 1 0 1 1 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 0 1 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 0.000000001889 1.000000001068 7 1 0 6 0132 2310 0132 0132 1 0 0 1 0 0 0 0 0 0 -1 1 -1 1 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 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 -7882871.333356707357 277080958.668467521667 7 2 8 1 3120 2031 0132 0132 1 0 1 0 0 -1 1 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 1 -1 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 0.000000000464 0.000000005081 8 3 4 2 1302 2031 0132 0132 1 0 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 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 0.000000000103 0.000000003606 4 8 9 5 0132 3201 0132 3120 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.249999998885 0.661437828998 10 6 7 5 0132 2031 2310 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 -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 0.624999999804 0.330718914691 11 11 10 7 0132 1302 3120 0132 0 0 0 2 0 0 0 0 0 0 0 0 -2 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999999417 1.322875652893 8 12 9 12 0132 0132 3120 0213 2 0 0 0 0 -1 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 0 0 0 4 1 -5 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 0.750000000511 0.661437828408 9 12 12 9 0132 3201 2103 2031 0 0 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 2 0 -2 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000001091 0.661437828563 11 10 11 10 2103 0132 2310 0213 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 -1 5 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 0.750000000511 0.661437828408 ==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_1001_0' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_3' : d['c_0011_0'], 'c_1001_1' : - d['c_0011_0'], 'c_1001_3' : d['c_0011_0'], 'c_1010_5' : - 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_1001_6' : - 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_0110_5' : d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_1010_1' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_1010_0' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1010_6' : d['c_0011_3'], 'c_1100_2' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_1' : - d['c_0011_4'], 'c_1100_5' : - d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : - d['c_0011_4'], 'c_1100_8' : - d['c_0011_4'], 'c_0101_2' : - d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0110_6' : - d['c_0011_5'], 'c_1010_7' : - d['c_0011_5'], 'c_1001_8' : d['c_0011_5'], 'c_0110_2' : - d['c_0011_6'], 'c_1001_5' : d['c_0011_6'], 'c_0101_3' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1010_8' : d['c_0011_6'], 'c_0110_4' : d['c_0011_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : 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_0011_12' : - d['c_0011_10'], 'c_1001_11' : - d['c_0011_10'], 'c_0101_12' : d['c_0011_10'], 'c_0101_5' : d['c_0101_10'], 'c_1100_7' : - d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_1100_9' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1001_7' : - d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_1010_9' : - d['c_0101_8'], 'c_0110_10' : d['c_0101_8'], 'c_1100_11' : d['c_0101_8'], 'c_0110_12' : - d['c_0101_8'], 'c_0011_9' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_11' : - d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_11'], 'c_1100_12' : d['c_0011_11'], 'c_1001_9' : d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 'c_0110_11' : d['c_0101_9'], 'c_1100_10' : - d['c_0101_9'], 'c_1001_10' : - d['c_0101_9'], 'c_1010_12' : - d['c_0101_9'], 's_2_11' : d['1'], 's_1_11' : d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_2_9' : d['1'], 's_1_9' : d['1'], 's_0_9' : d['1'], 's_0_8' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_0_6' : d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_0_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_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_3' : d['1'], 's_3_5' : d['1'], 's_1_4' : d['1'], 's_1_5' : d['1'], 's_3_6' : d['1'], 's_2_3' : - d['1'], 's_1_6' : d['1'], 's_0_7' : d['1'], 's_2_6' : d['1'], 's_3_7' : d['1'], 's_3_8' : d['1'], 's_1_8' : d['1'], 's_2_8' : d['1'], 's_3_9' : d['1'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_11' : d['1'], 's_2_10' : d['1'], 's_1_12' : 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: 0.030 Status: Saturating ideal ( 1 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 3 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 5 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 8 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 12 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... 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: 0.610 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_11, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_0101_9, c_1100_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_10^2 + 9/7*c_0011_10*c_0101_8 - 1/7*c_0101_10*c_0101_8 + 3/7*c_0101_8^2, c_0011_10*c_0011_4 - 2*c_0011_10*c_1100_0 - c_0101_8*c_1100_0 - 4*c_0011_10 + c_0101_10 - 2*c_0101_8, c_0011_4^2 - 3*c_0011_10 + c_0011_5 - 2*c_0011_6 + c_0101_10 - 2*c_0101_8 - 2*c_0101_9 - 2, c_0011_10*c_0011_5 + 4*c_0011_10*c_1100_0 - c_0101_10*c_1100_0 + 2*c_0101_8*c_1100_0 + 2*c_0011_10 + c_0101_8, c_0011_4*c_0011_5 + 2*c_0011_10 - c_0101_10 + c_0101_8 - c_1100_0, c_0011_5^2 - 3*c_0011_10 - 2*c_0011_5 + c_0101_10 - c_0101_8 + 3*c_0101_9 + 3*c_1100_0 - 1, c_0011_10*c_0011_6 + 2*c_0011_10*c_1100_0 + c_0101_8*c_1100_0 + c_0011_10, c_0011_4*c_0011_6 + 3*c_0011_10 - c_0101_10 + 2*c_0101_8 + 1, c_0011_5*c_0011_6 - 2*c_0011_10 + c_0011_4 + 2*c_0011_6 + c_0101_10 - c_0101_8 + 2*c_0101_9 + 2*c_1100_0, c_0011_6^2 - 3*c_0011_10 + c_0011_4 - c_0011_5 + 3*c_0011_6 + c_0101_10 - 2*c_0101_8 + c_0101_9, c_0011_10*c_0101_10 + 5/7*c_0011_10*c_0101_8 + 1/7*c_0101_10*c_0101_8 + 4/7*c_0101_8^2, c_0011_4*c_0101_10 - 4*c_0011_10*c_1100_0 + c_0101_10*c_1100_0 - 3*c_0101_8*c_1100_0 - c_0011_10 + c_0101_10 - c_0101_8, c_0011_5*c_0101_10 + c_0011_10*c_1100_0 - c_0101_10*c_1100_0 + c_0101_8*c_1100_0 + 4*c_0011_10 - c_0101_10 + 3*c_0101_8, c_0011_6*c_0101_10 + 4*c_0011_10*c_1100_0 - c_0101_10*c_1100_0 + 3*c_0101_8*c_1100_0 + c_0101_10, c_0101_10^2 + 23/7*c_0011_10*c_0101_8 - 8/7*c_0101_10*c_0101_8 + 17/7*c_0101_8^2, c_0011_4*c_0101_8 + c_0011_10*c_1100_0 + c_0101_10*c_1100_0 + 6*c_0011_10 - c_0101_10 + 3*c_0101_8, c_0011_5*c_0101_8 - 6*c_0011_10*c_1100_0 + c_0101_10*c_1100_0 - 3*c_0101_8*c_1100_0 - c_0011_10 - c_0101_10, c_0011_6*c_0101_8 - c_0011_10*c_1100_0 - c_0101_10*c_1100_0 + c_0101_8, c_0011_10*c_0101_9 + c_0011_10 + c_0101_8, c_0011_4*c_0101_9 - c_0011_5 + c_0011_6 + 2*c_0101_9 - c_1100_0 - 1, c_0011_5*c_0101_9 - c_0011_4 - 2*c_0011_6 - c_0101_9, c_0011_6*c_0101_9 + c_0011_5 - c_0011_6 + c_1100_0, c_0101_10*c_0101_9 + 4*c_0011_10 - 2*c_0101_10 + 3*c_0101_8, c_0101_8*c_0101_9 - c_0011_10 - c_0101_10 - c_0101_8, c_0101_9^2 - c_0011_4 - c_0011_6 - 2*c_0101_9 + 1, c_0011_4*c_1100_0 - 2*c_0011_10 - c_0101_8 - c_0101_9 + c_1100_0 + 1, c_0011_5*c_1100_0 + 4*c_0011_10 - c_0011_4 + 3*c_0011_5 - 3*c_0011_6 - c_0101_10 + 2*c_0101_8 - 3*c_0101_9 - 2*c_1100_0, c_0011_6*c_1100_0 + 2*c_0011_10 + c_0011_5 + c_0101_8, c_0101_9*c_1100_0 - c_0011_6 - c_1100_0 - 1, c_1100_0^2 - c_0011_10 - 2*c_0011_5 + c_0011_6 + 2*c_0101_9 + 2*c_1100_0, c_0011_0 - 1, c_0011_11 + 1, c_0011_3 - c_0101_9 + 1, c_0101_0 - 1, c_0101_1 + c_0101_9 - c_1100_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_8" ] ] 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.000 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: 0.000 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.000 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... 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: 0.030 ==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_11, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 3311/18943*c_1100_0^5 + 14154/18943*c_1100_0^4 + 13438/18943*c_1100_0^3 + 21065/18943*c_1100_0^2 + 4127/18943*c_1100_0 + 11302/18943, c_0011_11 + 1, c_0011_3 + 12383/18943*c_1100_0^5 + 51814/18943*c_1100_0^4 + 41567/18943*c_1100_0^3 + 57196/18943*c_1100_0^2 - 3348/18943*c_1100_0 - 1384/18943, c_0011_4 - 693/18943*c_1100_0^5 + 15540/18943*c_1100_0^4 + 74281/18943*c_1100_0^3 + 58147/18943*c_1100_0^2 + 91208/18943*c_1100_0 + 17018/18943, c_0011_5 + 5677/18943*c_1100_0^5 + 13335/18943*c_1100_0^4 - 28542/18943*c_1100_0^3 - 37011/18943*c_1100_0^2 - 86077/18943*c_1100_0 - 36850/18943, c_0011_6 - 10101/18943*c_1100_0^5 - 62804/18943*c_1100_0^4 - 126780/18943*c_1100_0^3 - 148406/18943*c_1100_0^2 - 123445/18943*c_1100_0 - 21744/18943, c_0101_0 - 1, c_0101_1 - 12383/18943*c_1100_0^5 - 51814/18943*c_1100_0^4 - 41567/18943*c_1100_0^3 - 57196/18943*c_1100_0^2 - 15595/18943*c_1100_0 + 1384/18943, c_0101_10 + 9072/18943*c_1100_0^5 + 37660/18943*c_1100_0^4 + 28129/18943*c_1100_0^3 + 36131/18943*c_1100_0^2 - 7475/18943*c_1100_0 - 12686/18943, c_0101_8 - 1, c_0101_9 + 12383/18943*c_1100_0^5 + 51814/18943*c_1100_0^4 + 41567/18943*c_1100_0^3 + 57196/18943*c_1100_0^2 - 3348/18943*c_1100_0 - 20327/18943, c_1100_0^6 + 5*c_1100_0^5 + 59/7*c_1100_0^4 + 104/7*c_1100_0^3 + 82/7*c_1100_0^2 + 69/7*c_1100_0 + 23/7 ] ==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: 1.070 seconds, Total memory usage: 32.09MB