Magma V2.22-2 Sun Aug 9 2020 22:19:33 on zickert [Seed = 3518638069] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L14n47668__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n47668 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 0 2 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 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 0.846948601154 0 5 7 6 0132 0132 0132 0132 2 2 1 1 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 -5 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 0.693897202308 0.581203474610 6 0 8 7 1023 0132 0132 3120 0 2 1 1 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709398262695 0.846948601154 9 10 7 0 0132 0132 3120 0132 0 2 1 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 -1 0 1 -1 0 0 1 -6 6 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 0132 0 2 2 1 0 0 1 -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 0 0 0 1 -1 0 -5 0 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362449661541 1.056346863849 10 1 8 9 0213 0132 1302 2103 2 2 1 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 0 0 0 -5 0 5 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 1023 0132 1230 2 2 1 1 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 -5 5 0 0 0 0 0 0 0 0 6 -6 0 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 3120 0132 3120 0132 2 2 1 0 0 -1 0 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 -5 0 5 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 0.709398262695 0.846948601154 5 11 4 2 2031 2310 0132 0132 0 2 1 2 0 -1 1 0 1 0 -1 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 6 0 -6 0 -5 0 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418796525390 0.693897202308 3 11 6 5 0132 3201 2103 2103 1 2 2 1 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 1 0 0 -1 0 6 0 -6 6 0 -6 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 2103 0321 0 1 2 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 1 0 -1 0 0 0 0 0 0 0 0 5 -6 1 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 2103 0132 2310 3201 2 1 0 1 0 1 -1 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 5 -6 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 0.418796525390 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_6' : - d['c_0011_0'], 'c_0101_10' : d['c_0011_0'], 'c_1001_9' : - d['c_0011_0'], 'c_0101_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_0110_2' : d['c_0101_1'], 'c_1010_6' : 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_1001_0' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_3' : d['c_0011_11'], 'c_0011_7' : - d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_0' : - d['c_0110_11'], 'c_1001_2' : - d['c_0110_11'], 'c_1001_4' : - d['c_0110_11'], 'c_1010_8' : - d['c_0110_11'], 'c_1100_10' : - d['c_0110_11'], 'c_0110_11' : d['c_0110_11'], 'c_1100_0' : - d['c_0101_7'], 'c_1100_3' : - d['c_0101_7'], 'c_1100_4' : - d['c_0101_7'], 'c_1100_2' : - d['c_0101_7'], 'c_1100_8' : - d['c_0101_7'], 'c_0101_7' : 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_0101_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_6' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], '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_0101_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_0011_8' : - d['c_0011_10'], 'c_1100_11' : d['c_0011_10'], 'c_1010_4' : d['c_1001_3'], 'c_1001_3' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 'c_1001_7' : - d['c_1001_3'], 'c_1001_8' : d['c_1001_3'], 'c_1010_11' : - d['c_1001_3'], '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_1_6' : d['1'], 's_3_8' : d['1'], 's_0_7' : 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_2_8' : d['1'], 's_0_10' : d['1'], 's_0_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: 0.010 Status: Saturating ideal ( 3 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 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: 0.010 Status: Recomputing Groebner basis... Time: 0.010 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: 0.400 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0110_11, c_1001_1, c_1001_3 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_3*c_1001_3^3 + c_0101_7*c_1001_3^3 + c_0110_11*c_1001_3^3 + c_1001_1*c_1001_3^3 + 3/2*c_0101_3^2*c_1001_1 + 4*c_0101_3^2*c_1001_3 + 35/6*c_0101_3*c_1001_3^2 - 13/6*c_0101_7*c_1001_3^2 - 7/6*c_0110_11*c_1001_3^2 + 13/3*c_1001_1*c_1001_3^2 + 2*c_1001_3^3 - 20/3*c_0101_3^2 - 29/6*c_0101_3*c_1001_1 + 29/6*c_0101_2*c_1001_3 + 6*c_0101_3*c_1001_3 + 7/3*c_0110_11*c_1001_3 + 29/6*c_1001_1*c_1001_3 + 8/3*c_1001_3^2 + 7/3*c_0101_3 + 5/2*c_1001_3, c_0101_3*c_1001_1*c_1001_3 + 4/3*c_0101_3*c_1001_3^2 - 2/3*c_0101_7*c_1001_3^2 - 2/3*c_0110_11*c_1001_3^2 + 1/3*c_1001_1*c_1001_3^2 - 2/3*c_0101_3^2 - 5/6*c_0101_3*c_1001_1 + 5/6*c_0101_2*c_1001_3 + 1/3*c_0110_11*c_1001_3 + 5/6*c_1001_1*c_1001_3 + 2/3*c_1001_3^2 + 1/3*c_0101_3 + 1/2*c_1001_3, c_0101_2*c_1001_3^2 - 1/2*c_0101_3*c_1001_1 + 1/2*c_0101_2*c_1001_3 - 2*c_0101_3*c_1001_3 + c_0110_11*c_1001_3 + 1/2*c_1001_1*c_1001_3 + c_1001_3^2 + c_0101_3 - 1/2*c_1001_3, c_0101_2^2 - c_0101_2*c_1001_3 + c_0101_2 + 2*c_0101_3 + c_0101_7 - c_1001_3 + 1, c_0101_2*c_0101_3 - c_0101_3*c_1001_1 - c_0101_3*c_1001_3 + c_0101_7*c_1001_3 + c_0110_11*c_1001_3 + c_0101_3, c_0101_2*c_0101_7 + c_0101_3 + c_0101_7 - c_1001_3, c_0101_3*c_0101_7 - 1/2*c_0101_3*c_1001_1 + 1/2*c_0101_2*c_1001_3 + 1/2*c_1001_1*c_1001_3 + 1/2*c_1001_3, c_0101_7^2 + c_0101_7*c_1001_3 + c_0110_11*c_1001_3 - c_1001_1*c_1001_3 - c_1001_3^2 + c_0101_3 + c_0101_7 - c_1001_3, c_0101_2*c_0110_11 - c_0101_7 + c_1001_1 + c_1001_3, c_0101_3*c_0110_11 - c_0101_2*c_1001_3 + c_0101_3 - c_1001_3, c_0101_7*c_0110_11 + c_0101_2*c_1001_3 - c_0101_7*c_1001_3 - c_0110_11*c_1001_3 + c_1001_1*c_1001_3 + c_1001_3^2 - c_0101_3 - c_0101_7 + 2*c_1001_3, c_0110_11^2 - c_0101_2*c_1001_3 + c_0101_7*c_1001_3 + c_0110_11*c_1001_3 - c_1001_1*c_1001_3 - c_1001_3^2 + c_0101_2 + c_0101_3 - 2*c_1001_3, c_0101_2*c_1001_1 + 2*c_0101_3 - c_0101_7 - c_0110_11 + c_1001_1, c_0101_7*c_1001_1 + c_0101_7*c_1001_3 + c_0110_11*c_1001_3 + c_0101_3, c_0110_11*c_1001_1 + c_0101_2 + c_1001_3 + 1, c_1001_1^2 - 2*c_0101_2*c_1001_3 + c_0101_7*c_1001_3 + c_0110_11*c_1001_3 + c_1001_1*c_1001_3 + 3*c_0101_3 + c_0101_7 - c_1001_3 + 1, c_0011_0 - 1, c_0011_10 - c_0101_2 - 1, c_0011_11 - 1, c_0011_4 + c_0101_7 + c_0110_11 - c_1001_1, c_0101_0 - 1, c_0101_1 - c_0101_7 - c_0110_11 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_3" ] ] 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: 0.010 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: 0.010 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: 0.000 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 12 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0110_11, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 1/21*c_1001_1^5 - 3/14*c_1001_1^4 - 31/42*c_1001_1^3 - 13/14*c_1001_1^2 - 3/14*c_1001_1 + 4/7, c_0011_11 - 1, c_0011_4 + 1/42*c_1001_1^5 + 1/42*c_1001_1^4 + 5/42*c_1001_1^3 - 19/42*c_1001_1^2 - 8/7*c_1001_1 - 2/7, c_0101_0 - 1, c_0101_1 - 1/42*c_1001_1^5 - 1/42*c_1001_1^4 - 5/42*c_1001_1^3 + 19/42*c_1001_1^2 + 1/7*c_1001_1 + 2/7, c_0101_2 - 1/21*c_1001_1^5 - 3/14*c_1001_1^4 - 31/42*c_1001_1^3 - 13/14*c_1001_1^2 - 3/14*c_1001_1 + 11/7, c_0101_3 - 1/21*c_1001_1^4 - 1/14*c_1001_1^3 - 1/42*c_1001_1^2 + 9/14*c_1001_1 + 5/14, c_0101_7 - 1/14*c_1001_1^5 - 11/42*c_1001_1^4 - 8/7*c_1001_1^3 - 26/21*c_1001_1^2 - 3/2*c_1001_1 + 25/14, c_0110_11 + 1/21*c_1001_1^5 + 5/21*c_1001_1^4 + 43/42*c_1001_1^3 + 71/42*c_1001_1^2 + 23/14*c_1001_1 - 3/2, c_1001_1^6 + 4*c_1001_1^5 + 17*c_1001_1^4 + 20*c_1001_1^3 + 15*c_1001_1^2 - 36*c_1001_1 - 9, c_1001_3 - 1 ] ==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: 0.730 seconds, Total memory usage: 32.09MB