Magma V2.22-2 Sun Aug 9 2020 22:19:25 on zickert [Seed = 2731436013] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L13n7920__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7920 geometric_solution 11.75183617 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 1 2 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 -1 1 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 0.846948601154 0 5 7 6 0132 0132 0132 0132 2 2 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 5 -5 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693897202308 0.581203474610 7 0 6 8 0132 0132 3012 0132 1 2 1 0 0 0 1 -1 0 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 1 1 -2 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 0.362449661541 1.056346863849 9 10 7 0 0132 0132 3120 0132 1 2 1 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 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 0.418796525390 0.693897202308 6 10 0 8 3012 0321 0132 3120 1 2 2 0 0 0 0 0 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 0 -1 1 5 0 1 -6 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362449661541 1.056346863849 10 1 8 9 0213 0132 1230 2103 2 2 0 1 0 0 1 -1 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 6 -6 0 0 1 -1 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693897202308 0.581203474610 9 2 1 4 2103 1230 0132 1230 2 2 0 1 0 0 1 -1 0 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 5 -5 0 0 0 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 0.693897202308 0.581203474610 2 11 3 1 0132 0132 3120 0132 2 2 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 0 0 0 0 0 0 0 0 5 0 -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 0.709398262695 0.846948601154 4 11 2 5 3120 1302 0132 3012 1 2 2 1 0 0 1 -1 1 0 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 2 -2 6 0 0 -6 0 1 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362449661541 1.056346863849 3 11 6 5 0132 3201 2103 2103 0 2 2 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 0 0 0 0 -1 1 -1 0 0 1 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 1.346948601154 5 3 11 4 0213 0132 1302 0321 1 0 2 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418796525390 0.693897202308 10 7 9 8 2031 0132 2310 2031 2 1 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 -5 6 -1 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418796525390 0.693897202308 ==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_0011_5' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0101_10' : d['c_0011_0'], 'c_0011_11' : - 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_6' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_1010_6' : d['c_0101_1'], 'c_1001_0' : d['c_0110_11'], 'c_1010_2' : d['c_0110_11'], 'c_1010_3' : d['c_0110_11'], 'c_1001_8' : d['c_0110_11'], 'c_1001_10' : d['c_0110_11'], 'c_0110_11' : d['c_0110_11'], 'c_1010_0' : - d['c_0011_6'], 'c_1001_2' : - d['c_0011_6'], 'c_1001_4' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1100_10' : - d['c_0011_6'], 'c_1001_9' : d['c_0011_6'], 'c_0101_11' : - d['c_0011_6'], 'c_1100_0' : - d['c_0101_7'], 'c_1100_3' : - d['c_0101_7'], 'c_1100_4' : - d['c_0101_7'], 'c_0110_2' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_9' : - d['c_1001_1'], 'c_1001_11' : d['c_1001_1'], 'c_1100_2' : - d['c_1001_5'], 'c_1010_1' : d['c_1001_5'], 'c_1001_5' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1100_8' : - d['c_1001_5'], 'c_1100_5' : - d['c_0101_3'], 'c_0110_4' : - d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0110_9' : d['c_0101_3'], 'c_1100_1' : - d['c_0101_3'], 'c_1100_7' : - d['c_0101_3'], 'c_1100_6' : - d['c_0101_3'], 'c_0110_8' : - d['c_0101_3'], 'c_0101_5' : d['c_0011_10'], 'c_0011_3' : - d['c_0011_10'], 'c_0011_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1010_8' : - d['c_0011_10'], 'c_1100_11' : d['c_0011_10'], 'c_1010_4' : - d['c_0011_8'], 'c_1001_3' : - d['c_0011_8'], 'c_1010_10' : - d['c_0011_8'], 'c_1001_7' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_1010_11' : d['c_0011_8'], 'c_0110_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_0110_10' : - d['c_0011_4'], 'c_1100_9' : - d['c_0011_4'], 's_2_10' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 's_1_7' : d['1'], 's_0_6' : d['1'], 's_3_5' : d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : d['1'], 's_0_4' : d['1'], 's_2_3' : - d['1'], 's_1_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_3_7' : - d['1'], 's_2_6' : d['1'], 's_0_7' : d['1'], 's_1_6' : d['1'], 's_2_8' : d['1'], 's_0_9' : d['1'], 's_1_10' : d['1'], 's_2_7' : - d['1'], 's_3_6' : d['1'], 's_3_10' : d['1'], 's_0_8' : d['1'], 's_0_10' : d['1'], 's_3_8' : d['1'], 's_3_9' : d['1'], 's_2_9' : d['1'], 's_1_11' : d['1'], 's_3_11' : d['1'], 's_2_11' : d['1'], 's_0_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: 0.000 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: 0.010 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: 0.000 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: 0.010 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 12 ] Status: Computing RadicalDecomposition Time: 0.010 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.340 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_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_11, c_1001_1, c_1001_5 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0110_11^2*c_1001_5^2 + 2*c_0110_11*c_1001_5^3 - c_1001_5^4 + c_0110_11^2*c_1001_5 + 8*c_0110_11*c_1001_5^2 - 6*c_1001_5^3 + 2*c_0110_11^2 + 8*c_0101_7*c_1001_5 + 10*c_0110_11*c_1001_5 - 16*c_1001_5^2 + 8*c_0011_8 + 8*c_0101_7 + 12*c_0110_11 - 18*c_1001_5 - 7, c_0011_8*c_1001_1^2 + 1/2*c_0011_8^2 + c_0011_8*c_1001_1 + 4*c_0101_7*c_1001_5 - 2*c_1001_5^2 + 9/2*c_0011_8 + 5*c_0101_7 - 2*c_1001_1 - 4*c_1001_5 - 2, c_0101_7*c_1001_5^2 - c_0110_11*c_1001_5^2 + 2*c_0101_7*c_1001_5 - c_0110_11*c_1001_5 + c_1001_5^2 + c_0101_7 - 2*c_0110_11 + 2*c_1001_5 + 1, c_0011_8*c_0101_7 + 2*c_0011_8*c_1001_1 + 4*c_0101_7*c_1001_5 - 2*c_1001_5^2 + 3*c_0011_8 + 6*c_0101_7 - 2*c_1001_5 - 2, c_0101_7^2 + 2*c_0101_7*c_1001_5 - c_1001_5^2 + 2*c_0011_8 + 2*c_0101_7 - c_1001_5 - 1, c_0011_8*c_0110_11 + 2*c_0011_8*c_1001_1 + 5*c_0101_7*c_1001_5 - c_0110_11*c_1001_5 - 2*c_1001_5^2 + 4*c_0011_8 + 7*c_0101_7 - 3*c_1001_5 - 3, c_0101_7*c_0110_11 + 2*c_0101_7*c_1001_5 - c_1001_5^2 + 2*c_0011_8 + 2*c_0101_7 + c_0110_11 - 2*c_1001_5 - 1, c_0101_7*c_1001_1 - c_0011_8 + c_1001_1 + c_1001_5, c_0110_11*c_1001_1 - c_0101_7*c_1001_5 + c_0110_11*c_1001_5 - c_0011_8 - c_0101_7, c_0011_8*c_1001_5 - 2*c_0101_7*c_1001_5 - c_0011_8 - 2*c_0101_7, c_1001_1*c_1001_5 + c_0101_7 + c_1001_1 - 1, c_0011_0 - 1, c_0011_10 - c_1001_5 - 1, c_0011_4 - c_1001_1 + 1, c_0011_6 + c_0101_7 - c_0110_11, c_0101_0 - 1, c_0101_1 - 1, c_0101_3 + c_1001_1 + c_1001_5 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_5" ] ] 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: 0.010 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: 0.000 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: 0.010 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: 0.000 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: 0.000 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: 0.010 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_10, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_11, c_1001_1, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 3, c_0011_4 - c_1001_1 + 1, c_0011_6 + 3/8*c_1001_1 - 5/4, c_0011_8 + 18*c_1001_1 - 6, c_0101_0 - 1, c_0101_1 - 1, c_0101_3 + c_1001_1 + 2, c_0101_7 + 3*c_1001_1 - 1, c_0110_11 + 27/8*c_1001_1 - 9/4, c_1001_1^2 - 20/3*c_1001_1 + 4/3, c_1001_5 - 2 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 1 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.570 seconds, Total memory usage: 32.09MB