Magma V2.22-2 Sun Aug 9 2020 22:19:29 on zickert [Seed = 4154111985] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L14n31168__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31168 degenerate_solution 7.32772481 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 0 -1 0 0 0 0 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.999999999229 2.000000001634 0 5 6 4 0132 0132 0132 3201 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 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 2081501.296128863236 378694528.770121097565 5 0 6 4 0132 0132 1023 2310 1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000000798 0.000000001052 7 7 8 0 0132 1302 0132 0132 1 1 1 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 0 0 0 0 0 0 0 1 -1 0 0 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200000000307 0.399999999133 2 1 0 8 3201 2310 0132 0132 1 1 1 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 1 -1 0 0 0 0 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.999999999229 2.000000001634 2 1 6 9 0132 0132 3201 0132 0 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 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 0.799999999817 0.399999999816 5 10 2 1 2310 0132 1023 0132 0 1 0 0 0 1 0 -1 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 -3 0 3 0 0 0 0 0 -1 0 1 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799999999817 0.399999999816 3 8 8 3 0132 2031 2310 2031 1 1 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 -1 0 1 0 0 0 0 4 -1 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000001097 0.499999999656 7 7 4 3 1302 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199999998988 0.400000000721 11 10 5 11 0132 0213 0132 3201 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 -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 0.750000001885 0.249999999879 11 6 9 11 2310 0132 0213 1023 0 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 3 0 -3 0 0 0 0 3 -3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749999998276 0.250000000213 9 9 10 10 0132 2310 3201 1023 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 -1 1 0 0 0 -3 3 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800000000160 0.399999999982 ==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_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_0101_7' : d['c_0101_0'], 'c_1001_8' : - d['c_0101_0'], 'c_0110_2' : - d['c_0101_1'], 'c_0101_5' : - 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_6' : d['c_0101_1'], 'c_0011_3' : d['c_0011_3'], 'c_0011_7' : - d['c_0011_3'], 'c_1010_7' : d['c_0011_3'], 'c_1001_0' : - d['c_0011_3'], 'c_1010_2' : - d['c_0011_3'], 'c_1010_3' : - d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_3'], 'c_0101_8' : d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_1010_1' : - d['c_0101_6'], 'c_1001_5' : - d['c_0101_6'], 'c_1010_0' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_8' : d['c_1100_0'], 'c_1001_1' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1001_9' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1100_2' : d['c_0011_4'], 'c_1100_1' : - d['c_0011_4'], 'c_1100_6' : - d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_1001_6' : d['c_0101_2'], 'c_0101_9' : d['c_0101_2'], 'c_1010_10' : d['c_0101_2'], 'c_0110_11' : d['c_0101_2'], 'c_1001_7' : - d['c_0101_3'], 'c_1001_3' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0110_7' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_1010_8' : d['c_0101_3'], 'c_1100_5' : d['c_0011_10'], 'c_0011_6' : - d['c_0011_10'], 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_9' : d['c_0011_10'], 'c_0011_11' : - d['c_0011_10'], 'c_0101_10' : d['c_0011_10'], 'c_1100_11' : - d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 'c_1001_11' : - d['c_0011_10'], 'c_0110_10' : - d['c_0101_11'], 'c_0110_9' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1010_11' : - d['c_0101_11'], 's_3_10' : d['1'], 's_0_10' : - d['1'], 's_3_9' : d['1'], 's_1_9' : d['1'], 's_0_9' : - d['1'], 's_2_7' : d['1'], 's_1_7' : - d['1'], 's_1_6' : - d['1'], 's_3_5' : - d['1'], 's_2_5' : d['1'], 's_3_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_6' : - d['1'], 's_1_4' : d['1'], 's_0_5' : d['1'], 's_2_6' : d['1'], 's_0_4' : d['1'], 's_0_7' : - d['1'], 's_3_7' : d['1'], 's_3_8' : - d['1'], 's_2_8' : d['1'], 's_0_6' : d['1'], 's_2_9' : - d['1'], 's_1_10' : - d['1'], 's_0_8' : - d['1'], 's_1_8' : d['1'], 's_0_11' : - d['1'], 's_2_10' : d['1'], 's_1_11' : d['1'], 's_2_11' : - d['1'], 's_3_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.100 Status: Saturating ideal ( 1 / 12 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.080 Status: Recomputing Groebner basis... Time: 0.060 Status: Saturating ideal ( 3 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 4 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 11 ] Status: Computing RadicalDecomposition Time: 0.060 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.830 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_1001_1, c_1100_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_1*c_0101_2^2 - 1/2*c_0101_1*c_0101_2*c_1001_1 + 2*c_0011_10*c_0101_6*c_1001_1 + 5/2*c_0101_11*c_0101_6*c_1001_1 - 1/2*c_0011_4*c_1001_1^2 - 5/2*c_0101_1*c_1001_1^2 - 5/2*c_0101_6*c_1001_1^2 - 3/2*c_0101_11*c_0101_2 - 3/2*c_0101_2^2 + 4*c_0011_10*c_1001_1 + 5*c_0101_11*c_1001_1 + 4*c_0101_2*c_1001_1 - 4*c_1001_1^2, c_0101_11*c_0101_2^2 - 2*c_0101_11*c_0101_2*c_1001_1 + 3*c_0011_10*c_1001_1^2 + 3*c_0101_11*c_1001_1^2 - c_0101_2*c_1001_1^2, c_0101_2^3 - c_0101_11*c_0101_2*c_1001_1 - 4*c_0101_2^2*c_1001_1 - c_0011_10*c_1001_1^2 + c_0101_11*c_1001_1^2 + 6*c_0101_2*c_1001_1^2 - 3*c_1001_1^3, c_0011_10*c_0101_6*c_1100_0 - 19/30*c_0101_1*c_0101_2 + 1/3*c_0011_10*c_0101_6 + 1/10*c_0101_11*c_0101_6 + 1/30*c_0011_4*c_1001_1 + 47/30*c_0101_1*c_1001_1 + 31/30*c_0101_6*c_1001_1 + 19/30*c_0011_10*c_1100_0 - 133/60*c_1001_1*c_1100_0 + 13/20*c_0011_10 - 19/60*c_0101_11 - 17/60*c_0101_2 + 19/20*c_1001_1, c_0011_10*c_1001_1*c_1100_0 - 1/15*c_0101_11*c_0101_2 + 2/5*c_0101_2^2 + 2/5*c_0011_10*c_1001_1 + 1/3*c_0101_11*c_1001_1 - c_0101_2*c_1001_1 + 2/3*c_1001_1^2, c_0011_4*c_1001_1*c_1100_0 - 11/30*c_0101_1*c_0101_2 - 1/3*c_0011_10*c_0101_6 - 1/10*c_0101_11*c_0101_6 - 1/30*c_0011_4*c_1001_1 + 73/30*c_0101_1*c_1001_1 + 59/30*c_0101_6*c_1001_1 + 11/30*c_0011_10*c_1100_0 - 77/60*c_1001_1*c_1100_0 - 3/20*c_0011_10 - 11/60*c_0101_11 - 13/60*c_0101_2 + 11/20*c_1001_1, c_0101_1*c_1001_1*c_1100_0 + c_0011_10*c_0101_6 - c_0011_10*c_1100_0, c_0101_6*c_1001_1*c_1100_0 + 8/15*c_0101_1*c_0101_2 - 1/3*c_0011_10*c_0101_6 + 3/5*c_0101_11*c_0101_6 - 2/15*c_0011_4*c_1001_1 - 19/15*c_0101_1*c_1001_1 - 17/15*c_0101_6*c_1001_1 - 8/15*c_0011_10*c_1100_0 + 28/15*c_1001_1*c_1100_0 - 3/5*c_0011_10 + 4/15*c_0101_11 + 2/15*c_0101_2 - 4/5*c_1001_1, c_1001_1^2*c_1100_0 + 4/15*c_0101_11*c_0101_2 + 2/5*c_0101_2^2 - 3/5*c_0011_10*c_1001_1 - 1/3*c_0101_11*c_1001_1 - c_0101_2*c_1001_1 + 1/3*c_1001_1^2, c_0011_10*c_1100_0^2 + c_0011_10*c_1100_0 - 19/15*c_1001_1*c_1100_0 + 2/3*c_0011_10 - 2/5*c_0101_11 - 4/15*c_0101_2 + c_1001_1, c_0011_4*c_1100_0^2 + 8/25*c_0011_4*c_1100_0 + 101/75*c_0101_1*c_1100_0 - 9/25*c_0101_3*c_1100_0 + 74/75*c_0101_6*c_1100_0 - 16/25*c_1100_0^2 - 1/25*c_0011_4 + 11/15*c_0101_1 + 11/75*c_0101_3 + 22/25*c_0101_6 - 7/15*c_1100_0 + 1/25, c_0101_1*c_1100_0^2 + 13/5*c_0011_4*c_1100_0 + 7/5*c_0101_1*c_1100_0 - 39/5*c_0101_3*c_1100_0 + 3/5*c_0101_6*c_1100_0 - 16/5*c_1100_0^2 - 8*c_0011_3 - 1/5*c_0011_4 + 4*c_0101_1 - 13/5*c_0101_3 + 17/5*c_0101_6 - 6*c_1100_0 + 26/5, c_0101_3*c_1100_0^2 - 18/5*c_0101_3*c_1100_0 - 4/3*c_1100_0^2 - 4*c_0011_3 - 17/15*c_0101_3 - 31/15*c_1100_0 + 13/5, c_0101_6*c_1100_0^2 - 33/25*c_0011_4*c_1100_0 - 1/75*c_0101_1*c_1100_0 + 184/25*c_0101_3*c_1100_0 + 26/75*c_0101_6*c_1100_0 + 91/25*c_1100_0^2 + 8*c_0011_3 + 1/25*c_0011_4 - 31/15*c_0101_1 + 164/75*c_0101_3 - 47/25*c_0101_6 + 77/15*c_1100_0 - 126/25, c_1001_1*c_1100_0^2 - c_0011_10*c_1100_0 + 1/15*c_1001_1*c_1100_0 - 2/3*c_0011_10 - 2/5*c_0101_11 + 1/15*c_0101_2, c_1100_0^3 + 17/5*c_0101_3*c_1100_0 + 8/3*c_1100_0^2 + 4*c_0011_3 + 13/15*c_0101_3 + 29/15*c_1100_0 - 12/5, c_0011_10^2 + c_0101_11*c_0101_2 + c_0101_2^2 + c_0011_10*c_1001_1 - c_0101_11*c_1001_1 - 3*c_0101_2*c_1001_1 + 2*c_1001_1^2, c_0011_10*c_0011_3 - c_1001_1*c_1100_0, c_0011_3^2 - c_0101_3*c_1100_0 - 2*c_0011_3 + 1, c_0011_10*c_0011_4 + c_0101_1*c_0101_2 + c_0101_6*c_1001_1, c_0011_3*c_0011_4 + 4/5*c_0011_4*c_1100_0 - 4/5*c_0101_1*c_1100_0 - 7/5*c_0101_3*c_1100_0 - 11/5*c_0101_6*c_1100_0 + 7/5*c_1100_0^2 - c_0011_3 - 3/5*c_0011_4 - 4/5*c_0101_3 - 4/5*c_0101_6 + 3/5, c_0011_4^2 + 11*c_0011_10*c_1100_0 - 144/5*c_0011_4*c_1100_0 + 29/5*c_0101_1*c_1100_0 + 192/5*c_0101_3*c_1100_0 - 24/5*c_0101_6*c_1100_0 + 35/2*c_1001_1*c_1100_0 + 108/5*c_1100_0^2 + 3/2*c_0011_10 + 47*c_0011_3 + 28/5*c_0011_4 - 32*c_0101_1 + 11/2*c_0101_11 - 5/2*c_0101_2 + 84/5*c_0101_3 - 136/5*c_0101_6 - 3/2*c_1001_1 + 40*c_1100_0 - 148/5, c_0011_10*c_0101_1 + 5/2*c_0101_1*c_0101_2 + 2*c_0011_10*c_0101_6 + 3/2*c_0101_11*c_0101_6 - 1/2*c_0011_4*c_1001_1 - 11/2*c_0101_1*c_1001_1 - 7/2*c_0101_6*c_1001_1 - 3/2*c_0011_10*c_1100_0 + 21/4*c_1001_1*c_1100_0 + 1/4*c_0011_10 + 7/4*c_0101_11 + 1/4*c_0101_2 - 9/4*c_1001_1, c_0011_3*c_0101_1 + c_0101_6 - c_1100_0, c_0011_4*c_0101_1 - 8*c_0011_10*c_1100_0 + 78/5*c_0011_4*c_1100_0 + 27/5*c_0101_1*c_1100_0 - 124/5*c_0101_3*c_1100_0 + 63/5*c_0101_6*c_1100_0 - 19/2*c_1001_1*c_1100_0 - 101/5*c_1100_0^2 + 1/2*c_0011_10 - 29*c_0011_3 - 1/5*c_0011_4 + 29*c_0101_1 - 13/2*c_0101_11 + 1/2*c_0101_2 - 63/5*c_0101_3 + 97/5*c_0101_6 + 5/2*c_1001_1 - 25*c_1100_0 + 96/5, c_0101_1^2 + 17/5*c_0011_4*c_1100_0 - 7/5*c_0101_1*c_1100_0 - 51/5*c_0101_3*c_1100_0 + 7/5*c_0101_6*c_1100_0 - 24/5*c_1100_0^2 - 12*c_0011_3 - 9/5*c_0011_4 + 7*c_0101_1 + c_0101_2 - 17/5*c_0101_3 + 38/5*c_0101_6 - 11*c_1100_0 + 39/5, c_0011_10*c_0101_11 + c_0101_11*c_0101_2 + c_0011_10*c_1001_1 - c_0101_2*c_1001_1, c_0011_3*c_0101_11 + c_0011_10*c_1100_0 + c_0011_10, c_0011_4*c_0101_11 + 9/2*c_0101_1*c_0101_2 + 2*c_0011_10*c_0101_6 + 7/2*c_0101_11*c_0101_6 - 3/2*c_0011_4*c_1001_1 - 25/2*c_0101_1*c_1001_1 - 17/2*c_0101_6*c_1001_1 - 3/2*c_0011_10*c_1100_0 + 51/4*c_1001_1*c_1100_0 - 1/4*c_0011_10 + 17/4*c_0101_11 + 3/4*c_0101_2 - 23/4*c_1001_1, c_0101_1*c_0101_11 + 7/2*c_0101_1*c_0101_2 + c_0011_10*c_0101_6 + 7/2*c_0101_11*c_0101_6 - 1/2*c_0011_4*c_1001_1 - 17/2*c_0101_1*c_1001_1 - 11/2*c_0101_6*c_1001_1 - 1/2*c_0011_10*c_1100_0 + 37/4*c_1001_1*c_1100_0 + 1/4*c_0011_10 + 15/4*c_0101_11 + 1/4*c_0101_2 - 17/4*c_1001_1, c_0101_11^2 + 2*c_0101_11*c_0101_2 + 2*c_0101_2^2 + 2*c_0011_10*c_1001_1 - 3*c_0101_11*c_1001_1 - 6*c_0101_2*c_1001_1 + 4*c_1001_1^2, c_0011_10*c_0101_2 - c_0101_11*c_0101_2 - c_0101_2^2 - c_0011_10*c_1001_1 + 2*c_0101_11*c_1001_1 + 3*c_0101_2*c_1001_1 - 2*c_1001_1^2, c_0011_3*c_0101_2 - c_1001_1, c_0011_4*c_0101_2 - 2*c_0101_1*c_0101_2 + c_0011_10*c_0101_6 - 2*c_0101_11*c_0101_6 - c_0011_4*c_1001_1 + 6*c_0101_1*c_1001_1 + 6*c_0101_6*c_1001_1 - 15/2*c_1001_1*c_1100_0 + 1/2*c_0011_10 - 3/2*c_0101_11 + 1/2*c_0101_2 + 3/2*c_1001_1, c_0011_10*c_0101_3 + c_0011_10*c_1100_0 + 1/2*c_1001_1*c_1100_0 + 1/2*c_0011_10 + 1/2*c_0101_11 - 1/2*c_0101_2 + 1/2*c_1001_1, c_0011_3*c_0101_3 + 3*c_0101_3*c_1100_0 + c_1100_0^2 + 3*c_0011_3 + c_1100_0 - 2, c_0011_4*c_0101_3 - c_0011_4*c_1100_0 - c_0101_1 + c_0101_3 + c_0101_6 - c_1100_0, c_0101_1*c_0101_3 + 2/5*c_0011_4*c_1100_0 - 2/5*c_0101_1*c_1100_0 - 6/5*c_0101_3*c_1100_0 - 8/5*c_0101_6*c_1100_0 + 6/5*c_1100_0^2 - c_0011_3 + 1/5*c_0011_4 - 2/5*c_0101_3 - 2/5*c_0101_6 + 4/5, c_0101_11*c_0101_3 - c_0011_10*c_1100_0 - 3*c_1001_1*c_1100_0 + c_0011_10 - c_0101_11 + c_1001_1, c_0101_2*c_0101_3 - 2*c_0011_10*c_1100_0 - 1/2*c_1001_1*c_1100_0 - 1/2*c_0011_10 - 3/2*c_0101_11 - 1/2*c_0101_2 + 3/2*c_1001_1, c_0101_3^2 - c_0101_3*c_1100_0 - c_0011_3 + 1, c_0011_3*c_0101_6 + c_0011_4*c_1100_0 + c_0101_1, c_0011_4*c_0101_6 + 4*c_0011_10*c_1100_0 - 12*c_0011_4*c_1100_0 - 4*c_0101_1*c_1100_0 + 14*c_0101_3*c_1100_0 - 12*c_0101_6*c_1100_0 + 15/2*c_1001_1*c_1100_0 + 16*c_1100_0^2 - 3/2*c_0011_10 + 18*c_0011_3 - 20*c_0101_1 + 7/2*c_0101_11 - 3/2*c_0101_2 + 7*c_0101_3 - 15*c_0101_6 + 1/2*c_1001_1 + 17*c_1100_0 - 12, c_0101_1*c_0101_6 + c_0011_4 - c_1001_1, c_0101_2*c_0101_6 + c_0101_1*c_1001_1 - c_0011_10, c_0101_3*c_0101_6 - 2/5*c_0011_4*c_1100_0 + 2/5*c_0101_1*c_1100_0 + 1/5*c_0101_3*c_1100_0 + 3/5*c_0101_6*c_1100_0 - 1/5*c_1100_0^2 + c_0011_3 - 1/5*c_0011_4 + 2/5*c_0101_3 + 2/5*c_0101_6 - 4/5, c_0101_6^2 - c_0011_10*c_1100_0 + 4/5*c_0011_4*c_1100_0 - 4/5*c_0101_1*c_1100_0 - 7/5*c_0101_3*c_1100_0 - 16/5*c_0101_6*c_1100_0 - 1/2*c_1001_1*c_1100_0 + 7/5*c_1100_0^2 - 1/2*c_0011_10 - c_0011_3 - 3/5*c_0011_4 - 1/2*c_0101_11 - 1/2*c_0101_2 - 4/5*c_0101_3 - 4/5*c_0101_6 + 3/2*c_1001_1 + 3/5, c_0011_3*c_1001_1 + c_0011_10*c_1100_0 + 1/2*c_1001_1*c_1100_0 + 1/2*c_0011_10 + 1/2*c_0101_11 + 1/2*c_0101_2 - 3/2*c_1001_1, c_0101_3*c_1001_1 - 2*c_0011_10*c_1100_0 - 3/2*c_1001_1*c_1100_0 - 1/2*c_0011_10 - 3/2*c_0101_11 - 1/2*c_0101_2 + 3/2*c_1001_1, c_0011_3*c_1100_0 + 3*c_0101_3*c_1100_0 + c_1100_0^2 + 3*c_0011_3 + c_0101_3 + c_1100_0 - 2, c_0101_11*c_1100_0 + c_1001_1*c_1100_0 + c_0101_11 - c_1001_1, c_0101_2*c_1100_0 - c_0011_10, c_0011_0 - 1, c_0101_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_1" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.030 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: 0.020 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: 0.010 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: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.010 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: 0.110 ==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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 555/848*c_1100_0^5 - 1121/424*c_1100_0^4 - 51/53*c_1100_0^3 + 495/848*c_1100_0^2 - 1331/848*c_1100_0 + 193/848, c_0011_3 + 615/424*c_1100_0^5 + 187/53*c_1100_0^4 + 677/212*c_1100_0^3 + 543/424*c_1100_0^2 + 243/424*c_1100_0 - 211/424, c_0011_4 + 13635/848*c_0101_6*c_1100_0^5 + 12027/424*c_0101_6*c_1100_0^4 + 799/212*c_0101_6*c_1100_0^3 - 10379/848*c_0101_6*c_1100_0^2 + 4131/848*c_0101_6*c_1100_0 - 1149/848*c_0101_6 + 2895/848*c_1100_0^5 + 3269/424*c_1100_0^4 + 309/53*c_1100_0^3 + 237/848*c_1100_0^2 + 663/848*c_1100_0 + 1331/848, c_0101_0 - 1, c_0101_1 + 2895/848*c_0101_6*c_1100_0^5 + 3269/424*c_0101_6*c_1100_0^4 + 309/53*c_0101_6*c_1100_0^3 + 237/848*c_0101_6*c_1100_0^2 + 663/848*c_0101_6*c_1100_0 + 1331/848*c_0101_6 - 555/848*c_1100_0^5 - 1121/424*c_1100_0^4 - 51/53*c_1100_0^3 + 495/848*c_1100_0^2 - 1331/848*c_1100_0 + 193/848, c_0101_11 + 15/4*c_1100_0^5 + 4*c_1100_0^4 - 1/2*c_1100_0^3 - 1/4*c_1100_0^2 + 7/4*c_1100_0 - 3/4, c_0101_2 - 2895/848*c_1100_0^5 - 3269/424*c_1100_0^4 - 309/53*c_1100_0^3 - 237/848*c_1100_0^2 - 663/848*c_1100_0 - 1331/848, c_0101_3 + 855/848*c_1100_0^5 + 51/424*c_1100_0^4 - 687/212*c_1100_0^3 - 2407/848*c_1100_0^2 + 343/848*c_1100_0 - 177/848, c_0101_6^2 + 225/16*c_0101_6*c_1100_0^5 + 225/8*c_0101_6*c_1100_0^4 + 41/4*c_0101_6*c_1100_0^3 - 105/16*c_0101_6*c_1100_0^2 + 33/16*c_0101_6*c_1100_0 - 15/16*c_0101_6 - 615/424*c_1100_0^5 - 187/53*c_1100_0^4 - 677/212*c_1100_0^3 - 543/424*c_1100_0^2 - 243/424*c_1100_0 + 635/424, c_1001_1 - 1, c_1100_0^6 + 31/15*c_1100_0^5 + 14/15*c_1100_0^4 - 1/5*c_1100_0^3 + 2/5*c_1100_0^2 + 1/15 ] ==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: 2.830 seconds, Total memory usage: 32.09MB