Magma V2.22-2 Sun Aug 9 2020 22:19:20 on zickert [Seed = 2330367976] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L11n446__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n446 geometric_solution 10.99158713 oriented_manifold CS_unknown 4 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 3 2 2 2 0 1 0 -1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800000000000 0.600000000000 0 4 6 5 0132 0132 0132 0132 2 2 2 2 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 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000000 0.500000000000 7 0 8 0 0132 0132 0132 0213 3 2 2 2 0 -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 1 -1 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 0 0 0.800000000000 0.600000000000 9 8 8 0 0132 0132 0321 0132 3 2 2 2 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 0 1 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 0.200000000000 0.600000000000 10 1 10 10 0132 0132 3120 2103 2 1 2 2 0 0 1 -1 -1 0 1 0 -1 0 0 1 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 -1 1 2 0 0 -2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800000000000 0.400000000000 11 10 1 8 0132 3120 0132 1230 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 -1 0 1 0 0 1 -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 0.200000000000 0.400000000000 7 11 7 1 2310 3120 1230 0132 2 2 2 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400000000000 0.800000000000 2 9 6 6 0132 0321 3201 3012 0 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 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 0.600000000000 0.800000000000 5 3 3 2 3012 0132 0321 0132 3 2 2 2 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 1 0 -1 -1 0 1 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 0.200000000000 0.600000000000 3 11 11 7 0132 0213 0132 0321 0 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 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 0.500000000000 1.000000000000 4 5 4 4 0132 3120 3120 2103 2 1 2 2 0 0 1 -1 1 0 -1 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 -2 2 0 0 1 -1 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800000000000 0.400000000000 5 6 9 9 0132 3120 0213 0132 0 2 2 2 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 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 0.600000000000 0.800000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1010_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_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_10' : - d['c_0011_0'], 'c_0101_3' : - d['c_0011_0'], 'c_0110_9' : - d['c_0011_0'], 'c_0101_8' : 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_0101_9' : d['c_0101_0'], 'c_0110_11' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0110_2' : - d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_0101_7' : - d['c_0101_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : 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_1001_8' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1100_2' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1001_2'], 'c_0011_5' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1001_1' : - d['c_0011_11'], 'c_1010_4' : - d['c_0011_11'], 'c_1010_6' : - d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 'c_1010_1' : - d['c_1001_10'], 'c_1001_4' : - d['c_1001_10'], 'c_1001_5' : - d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1100_1' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_5' : - d['c_0011_3'], 'c_0101_11' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0011_9' : - d['c_0011_3'], 'c_0011_8' : - d['c_0011_3'], 'c_1100_4' : - d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_4' : d['c_0101_10'], 'c_0110_10' : d['c_0101_10'], 'c_1100_10' : - d['c_0101_10'], 'c_1001_9' : - d['c_0011_6'], 'c_1001_6' : d['c_0011_6'], 'c_1001_11' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1100_7' : - d['c_0011_6'], 'c_1010_11' : - d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_1001_7' : - d['c_0101_6'], 'c_1010_7' : - d['c_0101_6'], 'c_1100_9' : - d['c_0101_6'], 'c_1010_9' : - d['c_0101_6'], 'c_1100_11' : - d['c_0101_6'], 's_2_9' : d['1'], 's_1_9' : d['1'], 's_1_7' : - d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_0_6' : - d['1'], 's_3_5' : d['1'], 's_1_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_2_3' : d['1'], 's_1_3' : d['1'], 's_0_3' : - 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_3_2' : d['1'], 's_1_4' : d['1'], 's_3_6' : - d['1'], 's_2_5' : d['1'], 's_0_7' : d['1'], 's_3_8' : d['1'], 's_0_9' : - d['1'], 's_1_8' : d['1'], 's_2_8' : d['1'], 's_0_10' : d['1'], 's_2_10' : d['1'], 's_3_10' : d['1'], 's_0_11' : d['1'], 's_1_10' : d['1'], 's_0_8' : d['1'], 's_2_7' : - d['1'], 's_1_11' : d['1'], 's_3_7' : d['1'], 's_3_9' : - d['1'], 's_2_11' : d['1'], 's_3_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.010 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: 0.000 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: 1 [ 12 ] Status: Computing RadicalDecomposition Time: 0.000 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.290 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_2^2 - 1/4*c_0101_6^2 + 2*c_0101_2 + 1/4*c_1001_10 + 3/4, c_0101_2*c_0101_6 - 1/2*c_0101_6^2 + c_0101_6 - 1/2, c_0101_6*c_1001_10 + 2*c_0101_2 + 2, c_0101_2*c_1001_2 - c_0101_2 + c_0101_6 + 2*c_1001_2 - 1, c_0101_6*c_1001_2 + c_0101_6 + c_1001_2 - 1, c_1001_10*c_1001_2 - 4*c_0101_2 + 2*c_0101_6 - c_1001_10 + 2*c_1001_2 - 4, c_0011_0 - 1, c_0011_11 - c_1001_10 - 1, c_0011_3 - c_0101_2 + c_0101_6, c_0011_6 - 1, c_0101_0 - c_0101_2 - 2, c_0101_1 + c_0101_2 - c_0101_6 + 2, c_0101_10 - 1, c_1001_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_2" ] ] 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: 0.000 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: 0.000 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: 0.000 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: 0.000 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: 0.000 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 Status: Testing witness [ 1 ] ... Time: 0.000 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: 0.000 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: 0.000 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: 0.000 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.000 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: 0 [] Status: Testing witness [ 2 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 ==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_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_11 + 9, c_0011_3 + 7/3, c_0011_6 - 1, c_0101_0 + 2/3, c_0101_1 - 1/3, c_0101_10 - 1, c_0101_2 + 8/3, c_0101_6 + 1/3, c_1001_0 - 1, c_1001_10 + 10, c_1001_2 - 2 ] ==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: 0.420 seconds, Total memory usage: 32.09MB