Magma V2.22-2 Sun Aug 9 2020 22:19:46 on zickert [Seed = 2781423490] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L12n1931__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1931 degenerate_solution 8.99735209 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 1 0132 0132 2031 2031 0 0 1 0 0 0 0 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 -1 0 1 0 0 1 -1 -3 1 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749999999936 0.661437827697 0 0 4 3 0132 1302 0132 0132 0 0 0 1 0 0 0 0 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 1 -1 0 0 0 0 0 2 -1 0 -1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249999999924 0.661437827821 4 0 4 0 0132 0132 3012 1302 0 0 0 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 0 0 0 1 0 -1 1 0 1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000187 1.322875655551 5 6 1 7 0132 0132 0132 0132 0 0 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.499999992554 1.322875652489 2 2 6 1 0132 1230 1230 0132 0 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 -1 0 1 -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 0.249999999924 0.661437827821 3 8 9 6 0132 0132 0132 3012 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 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 35516505.834207683802 460994897.254051089287 7 3 5 4 3012 0132 1230 3012 0 0 0 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 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 0.374999999132 0.330718911895 9 8 3 6 0132 3201 0132 1230 0 0 2 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 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 1.000000003537 0.000000005854 9 5 7 10 2031 0132 2310 0132 2 2 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 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 0.249999998868 0.250000003597 7 11 8 5 0132 0132 1302 0132 2 0 2 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 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 0.250000001534 0.249999996329 11 12 8 12 3012 0132 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 1 0 0 0 0 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000004144 1.999999998801 12 9 12 10 3012 0132 1023 1230 2 2 2 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 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 -0.000000004733 1.999999997982 10 10 11 11 3012 0132 1023 1230 2 2 2 2 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 0 0 0 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199999999695 0.400000000807 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1010_0' : - d['c_0011_0'], 'c_1001_2' : - 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_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_2' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_1001_4' : - d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_1100_6' : 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_1001_1' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_1100_0' : d['c_0101_4'], 'c_1001_0' : - d['c_0101_4'], 'c_1010_2' : - d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_1010_1' : - d['c_0101_4'], 'c_1001_3' : - d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_1010_6' : - d['c_0101_4'], 'c_1100_1' : d['c_0110_6'], 'c_1100_4' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_7' : d['c_0110_6'], 'c_0110_6' : d['c_0110_6'], 'c_0011_3' : d['c_0011_3'], 'c_0011_5' : - d['c_0011_3'], 'c_0011_6' : - d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_0110_7' : - d['c_0011_3'], 'c_0101_9' : - d['c_0011_3'], 'c_0110_3' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_7' : d['c_0101_5'], 'c_0110_9' : d['c_0101_5'], 'c_1100_5' : d['c_0101_8'], 'c_1100_9' : d['c_0101_8'], 'c_1010_3' : - d['c_0101_8'], 'c_1001_6' : - d['c_0101_8'], 'c_1001_7' : - d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0101_11' : d['c_0101_11'], 'c_1001_5' : d['c_0101_11'], 'c_1010_8' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_11' : d['c_0101_11'], 'c_1010_12' : d['c_0101_11'], 'c_1010_10' : d['c_0101_11'], 'c_1001_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_11'], 'c_1010_5' : - d['c_0101_6'], 'c_1001_8' : - d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_1010_7' : d['c_0101_6'], 'c_0011_7' : d['c_0011_11'], 'c_0011_9' : - d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0110_12' : d['c_0011_11'], 'c_0110_8' : d['c_0101_10'], 'c_1001_9' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_0110_10' : - d['c_0011_10'], 'c_1100_11' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0110_11' : d['c_0011_10'], 'c_0011_12' : - d['c_0011_10'], 'c_1100_12' : d['c_0011_10'], 's_2_11' : d['1'], 's_0_11' : - d['1'], 's_3_10' : d['1'], 's_1_10' : - d['1'], 's_0_10' : d['1'], 's_1_9' : - d['1'], 's_3_8' : - d['1'], 's_0_8' : d['1'], 's_1_7' : d['1'], 's_0_7' : d['1'], 's_0_6' : d['1'], 's_3_5' : d['1'], 's_2_5' : - d['1'], 's_1_5' : - d['1'], 's_2_4' : d['1'], 's_3_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_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_2' : d['1'], 's_1_1' : d['1'], 's_3_4' : d['1'], 's_2_3' : d['1'], 's_0_4' : d['1'], 's_1_4' : d['1'], 's_0_5' : d['1'], 's_1_6' : d['1'], 's_2_7' : d['1'], 's_3_6' : d['1'], 's_1_8' : - d['1'], 's_3_9' : - d['1'], 's_2_6' : d['1'], 's_3_7' : d['1'], 's_0_9' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_10' : - d['1'], 's_1_11' : - d['1'], 's_3_11' : d['1'], 's_1_12' : - d['1'], 's_0_12' : d['1'], 's_3_12' : - d['1'], 's_2_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.030 Status: Saturating ideal ( 1 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 3 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.030 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: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 11 / 13 )... Time: 0.020 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: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 8 ] Status: Computing RadicalDecomposition Time: 0.040 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.660 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_5, c_0101_6, c_0101_8, c_0110_6 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_10^3 - 21/5*c_0101_10^2*c_0101_11 - 2/5*c_0011_10*c_0101_11^2 + 59/5*c_0011_11*c_0101_11^2 + 121/5*c_0101_10*c_0101_11^2 + 16/5*c_0101_11^3, c_0101_11^2*c_0101_6 - 2/5*c_0101_10^2*c_0101_8 - 9/5*c_0011_10*c_0101_11*c_0101_8 - 22/5*c_0011_11*c_0101_11*c_0101_8 - 3/5*c_0101_10*c_0101_11*c_0101_8 - 33/5*c_0101_11^2*c_0101_8 + 1/5*c_0101_10^2 + 2/5*c_0011_10*c_0101_11 + 6/5*c_0011_11*c_0101_11 - 1/5*c_0101_10*c_0101_11 + 19/5*c_0101_11^2, c_0101_11^2*c_0110_6 + 4/35*c_0101_10^2 + 13/35*c_0011_10*c_0101_11 + 39/35*c_0011_11*c_0101_11 + 1/35*c_0101_10*c_0101_11 + 71/35*c_0101_11^2, c_0101_11*c_0101_6*c_0110_6 + 9/7*c_0101_11*c_0101_6 + 13/7*c_0011_10*c_0101_8 + 13/7*c_0011_11*c_0101_8 + 6/7*c_0101_10*c_0101_8 + 8/7*c_0101_11*c_0101_8 + 5/4*c_0101_11*c_0110_6 - 23/28*c_0011_10 - 41/28*c_0011_11 - 23/28*c_0101_10 + 23/28*c_0101_11, c_0101_11*c_0101_8*c_0110_6 + 2/7*c_0101_11*c_0101_6 - 1/7*c_0011_10*c_0101_8 - 1/7*c_0011_11*c_0101_8 - 1/7*c_0101_10*c_0101_8 + 1/7*c_0101_11*c_0101_8 - 1/2*c_0101_11*c_0110_6 - 1/14*c_0011_10 - 3/14*c_0011_11 - 1/14*c_0101_10 + 1/14*c_0101_11, c_0101_11*c_0110_6^2 + 23/14*c_0101_11*c_0110_6 - 1/2*c_0011_10 - 1/2*c_0011_11 - 5/14*c_0101_10 + 3/14*c_0101_11, c_0101_5*c_0110_6^2 + 11/2*c_0101_5*c_0110_6 - c_0101_6*c_0110_6 + 33/2*c_0110_6^2 - 13/2*c_0101_4 - 11/2*c_0101_6 + 17/2*c_0110_6 - 21/2, c_0101_6*c_0110_6^2 - 43/14*c_0101_5*c_0110_6 + 22/7*c_0101_6*c_0110_6 + 2*c_0101_8*c_0110_6 - 29/2*c_0110_6^2 + 95/14*c_0101_4 + c_0101_5 + 95/14*c_0101_6 + 1/7*c_0101_8 - 95/14*c_0110_6 + 23/2, c_0101_8*c_0110_6^2 - 1/14*c_0101_5*c_0110_6 + 1/7*c_0101_6*c_0110_6 - 1/2*c_0110_6^2 - 3/14*c_0101_4 - 3/14*c_0101_6 + 1/7*c_0101_8 + 3/14*c_0110_6 - 1/2, c_0110_6^3 - c_0101_5*c_0110_6 - 13/7*c_0110_6^2 + 8/7*c_0101_4 + c_0101_6 - 9/7*c_0110_6 + 2, c_0011_10^2 - c_0011_11*c_0101_11 - c_0101_11^2, c_0011_10*c_0011_11 + c_0011_10*c_0101_11 - c_0101_10*c_0101_11, c_0011_11^2 - 1/5*c_0101_10^2 - 2/5*c_0011_10*c_0101_11 + 14/5*c_0011_11*c_0101_11 + 11/5*c_0101_10*c_0101_11 + 6/5*c_0101_11^2, c_0011_10*c_0101_10 - 1/5*c_0101_10^2 - 2/5*c_0011_10*c_0101_11 + 4/5*c_0011_11*c_0101_11 + 11/5*c_0101_10*c_0101_11 + 1/5*c_0101_11^2, c_0011_11*c_0101_10 + 3/5*c_0101_10^2 + 1/5*c_0011_10*c_0101_11 - 7/5*c_0011_11*c_0101_11 - 8/5*c_0101_10*c_0101_11 - 3/5*c_0101_11^2, c_0011_10*c_0101_4 - c_0101_11*c_0110_6 - c_0011_11 - 2*c_0101_11, c_0011_11*c_0101_4 - c_0101_10, c_0101_10*c_0101_4 + 3/4*c_0101_11*c_0110_6 + 1/4*c_0011_10 + 7/4*c_0011_11 + 9/4*c_0101_10 + 7/4*c_0101_11, c_0101_11*c_0101_4 + 3/4*c_0101_11*c_0110_6 + 1/4*c_0011_10 + 3/4*c_0011_11 + 1/4*c_0101_10 + 7/4*c_0101_11, c_0101_4^2 + 1/2*c_0101_5*c_0110_6 + 5/2*c_0110_6^2 + 3/2*c_0101_4 - 1/2*c_0101_6 + 5/2*c_0110_6 + 1/2, c_0011_10*c_0101_5 - 1/2*c_0101_11*c_0101_6 + 7/2*c_0011_10*c_0101_8 + 2*c_0011_11*c_0101_8 + 1/2*c_0101_10*c_0101_8 + 7/2*c_0101_11*c_0101_8 - 7/8*c_0101_11*c_0110_6 - 25/8*c_0011_10 - 11/8*c_0011_11 - 1/8*c_0101_10 - 39/8*c_0101_11, c_0011_11*c_0101_5 + 2*c_0011_11*c_0101_8 + c_0101_10*c_0101_8 - c_0101_11*c_0101_8 - 7/4*c_0101_11*c_0110_6 - 1/4*c_0011_10 - 3/4*c_0011_11 - 1/4*c_0101_10 + 1/4*c_0101_11, c_0101_10*c_0101_5 - c_0011_11*c_0101_8 - c_0101_11, c_0101_11*c_0101_5 + 1/2*c_0101_11*c_0101_6 - 1/2*c_0011_10*c_0101_8 - c_0011_11*c_0101_8 - 1/2*c_0101_10*c_0101_8 + 1/2*c_0101_11*c_0101_8 + 21/8*c_0101_11*c_0110_6 - 5/8*c_0011_10 - 7/8*c_0011_11 - 5/8*c_0101_10 + 5/8*c_0101_11, c_0101_4*c_0101_5 - c_0101_8 - c_0110_6, c_0101_5^2 + 9/2*c_0101_5*c_0110_6 + c_0101_6*c_0110_6 + 13*c_0101_8*c_0110_6 - 7/2*c_0110_6^2 - c_0011_11 + 13/2*c_0101_4 + 5*c_0101_5 + 11/2*c_0101_6 + 4*c_0101_8 - 9/2*c_0110_6 + 23/2, c_0011_10*c_0101_6 + 1/2*c_0101_11*c_0101_6 - 7/2*c_0011_10*c_0101_8 - 2*c_0011_11*c_0101_8 - 1/2*c_0101_10*c_0101_8 - 9/2*c_0101_11*c_0101_8 + 7/8*c_0101_11*c_0110_6 + 25/8*c_0011_10 + 11/8*c_0011_11 + 1/8*c_0101_10 + 31/8*c_0101_11, c_0011_11*c_0101_6 + 1/2*c_0101_11*c_0101_6 - 1/2*c_0011_10*c_0101_8 - c_0011_11*c_0101_8 - 1/2*c_0101_10*c_0101_8 + 1/2*c_0101_11*c_0101_8 - 7/8*c_0101_11*c_0110_6 - 1/8*c_0011_10 + 13/8*c_0011_11 + 7/8*c_0101_10 - 7/8*c_0101_11, c_0101_10*c_0101_6 - c_0101_11*c_0101_8 - c_0011_11, c_0101_4*c_0101_6 - c_0101_8*c_0110_6 - 1, c_0101_5*c_0101_6 - c_0101_11 - c_0101_8, c_0101_6^2 - c_0101_11*c_0110_6 - 31/2*c_0101_5*c_0110_6 + 11*c_0101_6*c_0110_6 + 10*c_0101_8*c_0110_6 - 147/2*c_0110_6^2 + 67/2*c_0101_4 + 5*c_0101_5 + 69/2*c_0101_6 + c_0101_8 - 71/2*c_0110_6 + 115/2, c_0101_4*c_0101_8 - 1/2*c_0101_5*c_0110_6 - c_0101_8*c_0110_6 - 7/2*c_0110_6^2 + 1/2*c_0101_4 + c_0101_5 + 1/2*c_0101_6 + 2*c_0101_8 - 1/2*c_0110_6 + 1/2, c_0101_5*c_0101_8 + 3*c_0101_5*c_0110_6 - 2*c_0101_6*c_0110_6 - 12*c_0101_8*c_0110_6 + 21*c_0110_6^2 - c_0101_10 - 12*c_0101_4 - 4*c_0101_5 - 11*c_0101_6 - 5*c_0101_8 + 12*c_0110_6 - 21, c_0101_6*c_0101_8 + 3/4*c_0101_11*c_0110_6 - 1/2*c_0101_5*c_0110_6 + c_0101_6*c_0110_6 - c_0101_8*c_0110_6 - 7/2*c_0110_6^2 + 1/4*c_0011_10 + 3/4*c_0011_11 + 1/4*c_0101_10 + 7/4*c_0101_11 + 1/2*c_0101_4 + c_0101_5 + 1/2*c_0101_6 + 2*c_0101_8 - 1/2*c_0110_6 + 1/2, c_0101_8^2 + 3/4*c_0101_11*c_0110_6 - 7/2*c_0101_5*c_0110_6 + 2*c_0101_6*c_0110_6 + 12*c_0101_8*c_0110_6 - 49/2*c_0110_6^2 + 1/4*c_0011_10 + 7/4*c_0011_11 + 9/4*c_0101_10 + 7/4*c_0101_11 + 23/2*c_0101_4 + 5*c_0101_5 + 23/2*c_0101_6 + 8*c_0101_8 - 23/2*c_0110_6 + 41/2, c_0011_10*c_0110_6 + 3/4*c_0101_11*c_0110_6 + 5/4*c_0011_10 + 3/4*c_0011_11 + 1/4*c_0101_10 + 7/4*c_0101_11, c_0011_11*c_0110_6 - c_0101_11, c_0101_10*c_0110_6 + 3/4*c_0101_11*c_0110_6 + 1/4*c_0011_10 + 3/4*c_0011_11 + 1/4*c_0101_10 + 7/4*c_0101_11, c_0101_4*c_0110_6 + 1/2*c_0101_5*c_0110_6 + 5/2*c_0110_6^2 - 1/2*c_0101_4 - 1/2*c_0101_6 + 5/2*c_0110_6 - 1/2, c_0011_0 - 1, c_0011_3 - 1, c_0101_0 - 1, c_0101_1 + c_0101_4 - c_0110_6 + 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_11" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.020 Status: Saturating ideal ( 1 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.010 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 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: 0.010 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.020 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: 0.010 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: 0.080 ==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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_5, c_0101_6, c_0101_8, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 168/29*c_0110_6^4 - 458/29*c_0110_6^3 - 443/29*c_0110_6^2 - 207/29*c_0110_6 - 17/29, c_0011_11 + 7*c_0110_6^4 + 22*c_0110_6^3 + 25*c_0110_6^2 + 14*c_0110_6 + 4, c_0011_3 - 1, c_0101_0 - 1, c_0101_1 + 98/29*c_0110_6^4 + 301/29*c_0110_6^3 + 314/29*c_0110_6^2 + 99/29*c_0110_6 + 22/29, c_0101_10 - 49/29*c_0110_6^4 - 252/29*c_0110_6^3 - 476/29*c_0110_6^2 - 412/29*c_0110_6 - 156/29, c_0101_11 - 1, c_0101_4 - 98/29*c_0110_6^4 - 301/29*c_0110_6^3 - 314/29*c_0110_6^2 - 128/29*c_0110_6 + 7/29, c_0101_5 + 98/29*c_0101_8*c_0110_6^4 + 301/29*c_0101_8*c_0110_6^3 + 314/29*c_0101_8*c_0110_6^2 + 99/29*c_0101_8*c_0110_6 + 51/29*c_0101_8 - 7/29*c_0110_6^4 - 36/29*c_0110_6^3 - 97/29*c_0110_6^2 - 5/29*c_0110_6 - 14/29, c_0101_6 - 7/29*c_0101_8*c_0110_6^4 - 36/29*c_0101_8*c_0110_6^3 - 97/29*c_0101_8*c_0110_6^2 - 5/29*c_0101_8*c_0110_6 - 14/29*c_0101_8 + 98/29*c_0110_6^4 + 301/29*c_0110_6^3 + 314/29*c_0110_6^2 + 99/29*c_0110_6 + 51/29, c_0101_8^2 - 14*c_0101_8*c_0110_6^4 - 37*c_0101_8*c_0110_6^3 - 28*c_0101_8*c_0110_6^2 - 3*c_0101_8*c_0110_6 + 3*c_0101_8 - 7*c_0110_6^4 - 15*c_0110_6^3 - 3*c_0110_6^2 + 10*c_0110_6 + 8, c_0110_6^5 + 22/7*c_0110_6^4 + 25/7*c_0110_6^3 + 2*c_0110_6^2 + 4/7*c_0110_6 + 1/7 ] ==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: 1.730 seconds, Total memory usage: 32.09MB