Magma V2.22-2 Sun Aug 9 2020 22:19:25 on zickert [Seed = 575580141] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L13n4524__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4524 degenerate_solution 3.66386230 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 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 0 -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 -0.000000000067 0.000000001825 0 3 6 5 0132 1230 0132 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 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 0.666666666669 0.000000000157 6 0 7 4 0213 0132 0132 2310 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 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 0 0 0 0 0 0 0 0 0.749999999881 0.249999999716 8 6 1 0 0132 3201 3012 0132 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666666666669 0.000000000157 2 9 0 6 3201 0132 0132 2031 1 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 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 0.749999999881 0.249999999716 10 8 1 10 0132 0132 0132 2031 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 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 0.750000000063 0.000000000407 2 4 3 1 0213 1302 2310 0132 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 0 0 0 1 -1 0 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 0.999999999831 0.000000000451 11 9 11 2 0132 0321 3012 0132 1 1 1 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 -1 1 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799999999780 0.399999999771 3 5 10 10 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.999999999115 0.000000003296 11 4 11 7 3012 0132 1023 0321 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 0 0 0 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 0.800000000577 0.399999999981 5 5 8 8 0132 1302 0132 0132 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.333333333221 0.000000000723 7 7 9 9 0132 1230 1023 1230 1 1 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 0 0 0 1 -1 0 0 0 0 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000001578 1.999999999805 ==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_1001_3' : d['c_0011_0'], 'c_0101_6' : - 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_8' : d['c_0101_0'], 'c_0110_10' : d['c_0101_0'], 'c_0110_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_6' : d['c_0101_1'], 'c_1001_0' : - d['c_0110_4'], 'c_1010_2' : - d['c_0110_4'], 'c_1010_3' : - d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_1001_6' : d['c_0110_4'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1010_7' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1001_1' : d['c_1001_1'], 'c_1100_0' : - d['c_1001_1'], 'c_1100_3' : - d['c_1001_1'], 'c_1100_4' : - d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_1' : d['c_0101_10'], 'c_0101_3' : d['c_0101_10'], 'c_1001_5' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_1010_8' : d['c_0101_10'], 'c_0110_5' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1001_10' : d['c_0101_10'], 'c_1010_5' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_0011_5' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_3' : - d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_1100_1' : - d['c_0011_10'], 'c_1100_6' : - d['c_0011_10'], 'c_1100_5' : - d['c_0011_10'], 'c_1010_10' : d['c_0011_10'], 'c_1010_4' : d['c_0011_6'], 'c_1001_9' : d['c_0011_6'], 'c_0101_2' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_0110_7' : d['c_0011_6'], 'c_0101_11' : d['c_0011_6'], 'c_0101_9' : - d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_1100_7' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_9' : - d['c_0011_4'], 'c_1001_11' : - d['c_0011_4'], 'c_0101_7' : - d['c_0011_4'], 'c_0110_11' : - d['c_0011_4'], 'c_1010_11' : - d['c_0011_4'], 'c_1001_7' : - d['c_0011_11'], 'c_1100_9' : - d['c_0011_11'], 'c_0011_7' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0110_9' : d['c_0011_11'], 'c_1100_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_2_9' : d['1'], 's_0_9' : - d['1'], 's_3_8' : d['1'], 's_2_8' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_0_7' : - d['1'], 's_3_5' : d['1'], 's_1_5' : - d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : - 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_2_3' : d['1'], 's_3_6' : d['1'], 's_2_5' : - d['1'], 's_0_6' : d['1'], 's_3_7' : - d['1'], 's_0_4' : d['1'], 's_0_8' : - d['1'], 's_2_6' : d['1'], 's_1_9' : - d['1'], 's_1_6' : d['1'], 's_0_10' : d['1'], 's_1_8' : - d['1'], 's_1_10' : d['1'], 's_0_11' : - d['1'], 's_3_9' : d['1'], 's_1_11' : d['1'], 's_3_10' : d['1'], 's_2_10' : d['1'], 's_3_11' : - d['1'], 's_2_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.060 Status: Saturating ideal ( 1 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 12 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.040 Status: Saturating ideal ( 4 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 9 / 12 )... Time: 0.020 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: 0.020 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: 0.090 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.810 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_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0110_4, c_1001_1, c_1001_2, c_1100_10 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_11*c_0011_6^2 - 2*c_0011_11*c_0011_6*c_1001_2 - c_0011_11*c_1001_2^2 - 3*c_0011_4*c_1001_2^2 + c_0011_6*c_1001_2^2, c_0011_4*c_0011_6^2 - 4*c_0011_4*c_0011_6*c_1001_2 + 2*c_0011_6^2*c_1001_2 - 3*c_0011_11*c_1001_2^2 - c_0011_4*c_1001_2^2, c_0011_6^3 - 2*c_0011_4*c_0011_6*c_1001_2 - c_0011_11*c_1001_2^2 - c_0011_6*c_1001_2^2 + c_1001_2^3, c_0011_11*c_0011_6*c_1001_1 - 2*c_0011_11*c_1001_1*c_1001_2 - c_0011_4*c_1001_1*c_1001_2 + c_0011_6*c_1001_1*c_1001_2 + c_0101_1*c_1001_2^2 - c_1001_1*c_1001_2^2 - c_0011_4*c_0011_6 + c_0011_6^2 + c_0011_11*c_1001_2 + 2*c_0011_4*c_1001_2 - 2*c_0011_6*c_1001_2, c_0011_4*c_0011_6*c_1001_1 + c_0011_11*c_0110_4*c_1001_2 - 2*c_0011_11*c_1001_1*c_1001_2 - 4*c_0011_4*c_1001_1*c_1001_2 + 2*c_0011_6*c_1001_1*c_1001_2 + c_0110_4*c_1001_2^2 - 2*c_0011_11*c_0011_6 + 3*c_0011_11*c_1001_2 + c_0011_4*c_1001_2, c_0011_6^2*c_1001_1 + c_0011_11*c_0110_4*c_1001_2 - c_0011_11*c_1001_1*c_1001_2 - 2*c_0011_4*c_1001_1*c_1001_2 - c_0011_11*c_0011_6 + c_0011_11*c_1001_2 + c_0011_6*c_1001_2 - c_1001_2^2, c_0101_1*c_1001_1*c_1001_2 + c_0011_11*c_0011_6 - c_0011_4*c_0011_6 + c_0011_6^2 - c_0011_4*c_1001_1 - c_0011_11*c_1001_2 + c_0011_4*c_1001_2 - c_0011_6*c_1001_2 - c_0101_1*c_1001_2 - c_1001_2^2 - 1/2*c_0011_6*c_1100_10 + 1/2*c_0011_4, c_0011_4*c_0011_6*c_1100_10 - 2*c_0011_4*c_0011_6 - c_0011_6^2 - c_0011_11*c_1001_2 + 2*c_1001_2^2, c_0011_6^2*c_1100_10 - 2*c_0011_11*c_0011_6 + c_0011_4*c_0011_6 - 2*c_0011_6^2 + 2*c_0011_11*c_1001_2 - 4*c_0011_4*c_1001_2 + 2*c_0011_6*c_1001_2 + 2*c_1001_2^2, c_0011_4*c_1001_1*c_1100_10 + 13/8*c_0011_11*c_0110_4 - 5/4*c_0011_11*c_1001_1 - 17/8*c_0011_4*c_1001_1 - 7/8*c_0011_6*c_1001_1 + 1/8*c_0101_1*c_1001_2 - 3/8*c_0110_4*c_1001_2 + 7/4*c_1001_1*c_1001_2 - 11/24*c_0011_4*c_1100_10 - 87/16*c_0011_6*c_1100_10 + 143/24*c_1001_2*c_1100_10 - 61/24*c_0011_11 + 337/48*c_0011_4 + 17/12*c_0011_6 + 5/12*c_1001_2, c_0011_6*c_1001_1*c_1100_10 - c_0011_4*c_1001_1 + 2*c_0101_1*c_1001_2 - 2*c_0110_4*c_1001_2 + c_0011_6*c_1100_10 - c_0011_4, c_0101_1*c_1001_1*c_1100_10 - 3*c_0101_1*c_1001_1 + 3*c_0011_10*c_1100_10 - 1/3*c_0011_4*c_1100_10 - c_0011_6*c_1100_10 - c_0101_1*c_1100_10 + 3*c_0101_10*c_1100_10 + 2*c_0110_4*c_1100_10 - 3*c_1001_1*c_1100_10 - 2/3*c_1001_2*c_1100_10 - 2*c_1100_10^2 + 4*c_0011_10 + 1/3*c_0011_11 + 4/3*c_0011_4 + 5/3*c_0011_6 - 2*c_0101_1 + 15*c_0101_10 + 6*c_0110_4 - 4*c_1001_1 + 5/3*c_1001_2 - 6*c_1100_10, c_0011_4*c_1001_2*c_1100_10 - 1/8*c_0011_11*c_0011_6 + 3/8*c_0011_4*c_0011_6 - 2*c_0011_6^2 + 1/4*c_0011_11*c_1001_2 + 1/2*c_0011_4*c_1001_2 - 1/4*c_0011_6*c_1001_2 + 15/8*c_1001_2^2, c_0011_6*c_1001_2*c_1100_10 - 2*c_0011_11*c_0011_6 + 2*c_0011_4*c_0011_6 - 2*c_0011_6^2 + 2*c_0011_11*c_1001_2 - 3*c_0011_4*c_1001_2 + 2*c_0011_6*c_1001_2 + 2*c_1001_2^2, c_0101_1*c_1001_2*c_1100_10 + c_0011_6*c_1001_1 + c_1001_1*c_1001_2 - 1/3*c_0011_4*c_1100_10 + 1/2*c_0011_6*c_1100_10 - 2/3*c_1001_2*c_1100_10 + 1/3*c_0011_11 - 1/6*c_0011_4 + 2/3*c_0011_6 + 2/3*c_1001_2, c_0110_4*c_1001_2*c_1100_10 - 5/8*c_0011_11*c_0110_4 + 1/4*c_0011_11*c_1001_1 + 1/8*c_0011_4*c_1001_1 - 1/8*c_0011_6*c_1001_1 - 1/8*c_0101_1*c_1001_2 + 3/8*c_0110_4*c_1001_2 - 7/4*c_1001_1*c_1001_2 + 1/8*c_0011_4*c_1100_10 + 23/16*c_0011_6*c_1100_10 - 13/8*c_1001_2*c_1100_10 + 7/8*c_0011_11 - 27/16*c_0011_4 - 7/4*c_0011_6 - 3/4*c_1001_2, c_1001_1*c_1001_2*c_1100_10 + 1/8*c_0011_11*c_0110_4 - 1/4*c_0011_11*c_1001_1 + 3/8*c_0011_4*c_1001_1 - 3/8*c_0011_6*c_1001_1 + 13/8*c_0101_1*c_1001_2 - 15/8*c_0110_4*c_1001_2 + 3/4*c_1001_1*c_1001_2 + 1/24*c_0011_4*c_1100_10 + 21/16*c_0011_6*c_1100_10 - 13/24*c_1001_2*c_1100_10 - 1/24*c_0011_11 - 83/48*c_0011_4 + 5/12*c_0011_6 - 7/12*c_1001_2, c_1001_2^2*c_1100_10 - 13/8*c_0011_11*c_0011_6 + 15/8*c_0011_4*c_0011_6 - 2*c_0011_6^2 + 5/4*c_0011_11*c_1001_2 - 3/2*c_0011_4*c_1001_2 + 7/4*c_0011_6*c_1001_2 + 19/8*c_1001_2^2, c_0011_10*c_1100_10^2 + 3/4*c_0011_10*c_1100_10 + 15/4*c_0101_10*c_1100_10 + 1/8*c_1100_10^2 + 35/8*c_0011_10 + 11/8*c_0101_10 - 4, c_0011_4*c_1100_10^2 - 5/8*c_0011_4*c_1100_10 - 111/16*c_0011_6*c_1100_10 + 31/4*c_1001_2*c_1100_10 - 2*c_0011_11 + 47/16*c_0011_4 + c_0011_6 + 15/8*c_1001_2, c_0011_6*c_1100_10^2 - 1/3*c_0011_4*c_1100_10 - c_0011_6*c_1100_10 + 4/3*c_1001_2*c_1100_10 - 2/3*c_0011_11 + 1/3*c_0011_4 - 10/3*c_0011_6 - 10/3*c_1001_2, c_0101_1*c_1100_10^2 + c_0101_1*c_1001_1 - c_0011_10*c_1100_10 + 1/2*c_0011_6*c_1100_10 + c_1001_1*c_1100_10 - 1/2*c_0011_4 - 3*c_0101_1 + 3*c_0101_10 + 2*c_0110_4 - 2*c_1100_10, c_0101_10*c_1100_10^2 + 15/4*c_0011_10*c_1100_10 + 3/4*c_0101_10*c_1100_10 - 3/8*c_1100_10^2 - 1/8*c_0011_10 - 1/8*c_0101_10, c_0110_4*c_1100_10^2 - 1/8*c_0101_1*c_1001_1 + 1/8*c_0011_10*c_1100_10 - 1/16*c_0011_6*c_1100_10 + 3/4*c_0101_10*c_1100_10 + 3/4*c_0110_4*c_1100_10 - 31/8*c_1001_1*c_1100_10 - 27/8*c_1100_10^2 - 21/2*c_0011_10 + 1/16*c_0011_4 - 29/8*c_0101_1 + 9/2*c_0101_10 + 33/8*c_0110_4 - 11/8*c_1001_1 - 49/8*c_1100_10 + 11, c_1001_1*c_1100_10^2 - 3/8*c_0101_1*c_1001_1 + 3/8*c_0011_10*c_1100_10 - 3/16*c_0011_6*c_1100_10 - 15/4*c_0101_10*c_1100_10 - 15/4*c_0110_4*c_1100_10 + 3/8*c_1001_1*c_1100_10 + 31/8*c_1100_10^2 + 9/2*c_0011_10 + 3/16*c_0011_4 + 9/8*c_0101_1 + 1/2*c_0101_10 - 5/8*c_0110_4 - 1/8*c_1001_1 + 5/8*c_1100_10 - 4, c_1001_2*c_1100_10^2 + 29/24*c_0011_4*c_1100_10 - 43/16*c_0011_6*c_1100_10 + 41/12*c_1001_2*c_1100_10 - 4/3*c_0011_11 + 65/48*c_0011_4 - 8/3*c_0011_6 - 55/24*c_1001_2, c_1100_10^3 + 15/4*c_0011_10*c_1100_10 + 3/4*c_0101_10*c_1100_10 - 27/8*c_1100_10^2 - 97/8*c_0011_10 - 33/8*c_0101_10 - 2*c_1100_10 + 11, c_0011_10^2 - c_0101_10*c_1100_10 - 2*c_0011_10 + 1, c_0011_10*c_0011_11 + 1/3*c_0011_4*c_1100_10 + c_0011_6*c_1100_10 - 4/3*c_1001_2*c_1100_10 + 2/3*c_0011_11 - 7/3*c_0011_4 + 1/3*c_0011_6 - 2/3*c_1001_2, c_0011_11^2 - c_0011_4*c_0011_6 + c_0011_6^2 - c_0011_11*c_1001_2, c_0011_10*c_0011_4 + c_0011_6*c_1100_10 - c_1001_2*c_1100_10 - c_0011_4, c_0011_11*c_0011_4 - c_0011_11*c_0011_6 - c_0011_4*c_1001_2, c_0011_4^2 - 2*c_0011_4*c_0011_6 + c_0011_6^2 - c_0011_11*c_1001_2, c_0011_10*c_0011_6 + c_1001_2, c_0011_10*c_0101_1 - 2*c_0101_10 - c_0110_4 + c_1100_10, c_0011_11*c_0101_1 + c_0011_11*c_1001_1 + c_0011_4*c_1001_1 - 2*c_0011_6*c_1001_1 - c_0101_1*c_1001_2 + 2*c_1001_1*c_1001_2 - 1/3*c_0011_4*c_1100_10 + 3*c_0011_6*c_1100_10 - 11/3*c_1001_2*c_1100_10 + 4/3*c_0011_11 - 11/3*c_0011_4 + 5/3*c_0011_6 - 10/3*c_1001_2, c_0011_4*c_0101_1 - c_0011_11*c_0110_4 + c_0011_11*c_1001_1 + 2*c_0011_4*c_1001_1 - c_0011_6*c_1001_1 + 1/3*c_0011_4*c_1100_10 + 4*c_0011_6*c_1100_10 - 13/3*c_1001_2*c_1100_10 + 5/3*c_0011_11 - 16/3*c_0011_4 + 1/3*c_0011_6 - 5/3*c_1001_2, c_0011_6*c_0101_1 + c_0011_4*c_1001_1 + c_0110_4*c_1001_2, c_0101_1^2 + 3*c_0101_1*c_1001_1 - 3*c_0011_10*c_1100_10 + 3/2*c_0011_6*c_1100_10 + 3*c_0101_1*c_1100_10 - 2*c_0101_10*c_1100_10 - c_0110_4*c_1100_10 + 3*c_1001_1*c_1100_10 + c_1100_10^2 - 7*c_0011_10 - 3/2*c_0011_4 - c_0011_6 + 2*c_0101_1 - 15*c_0101_10 - 6*c_0110_4 + 7*c_1001_1 + 6*c_1100_10 + 1, c_0011_10*c_0101_10 - c_0011_10*c_1100_10 - c_0101_10, c_0011_11*c_0101_10 + 1/3*c_0011_4*c_1100_10 - 5/2*c_0011_6*c_1100_10 + 8/3*c_1001_2*c_1100_10 - 4/3*c_0011_11 + 13/6*c_0011_4 + 1/3*c_0011_6 + 4/3*c_1001_2, c_0011_4*c_0101_10 - 1/3*c_0011_4*c_1100_10 + 1/2*c_0011_6*c_1100_10 - 2/3*c_1001_2*c_1100_10 + 1/3*c_0011_11 - 1/6*c_0011_4 - 1/3*c_0011_6 - 1/3*c_1001_2, c_0011_6*c_0101_10 - 1/2*c_0011_6*c_1100_10 + 1/2*c_0011_4, c_0101_1*c_0101_10 - c_0011_10 + c_1001_1, c_0101_10^2 - c_0101_10*c_1100_10 - c_0011_10 + 1, c_0011_10*c_0110_4 + c_1001_1*c_1100_10 + c_0101_1 - 2*c_0101_10 - 2*c_0110_4 + 2*c_1100_10, c_0011_4*c_0110_4 - c_0011_6*c_1001_1 + c_1001_1*c_1001_2 - 2/3*c_0011_4*c_1100_10 - 1/2*c_0011_6*c_1100_10 + 2/3*c_1001_2*c_1100_10 - 1/3*c_0011_11 + 1/6*c_0011_4 + 4/3*c_0011_6 - 2/3*c_1001_2, c_0011_6*c_0110_4 + c_0101_1*c_1001_2 - c_0011_4, c_0101_1*c_0110_4 + c_1001_1 + c_1001_2, c_0101_10*c_0110_4 - c_0101_10*c_1100_10 - c_0110_4*c_1100_10 + c_1100_10^2 + c_0011_10 + c_1001_1 - 2, c_0110_4^2 + 1/3*c_0011_4*c_1100_10 - 1/2*c_0011_6*c_1100_10 + c_0101_10*c_1100_10 + 2/3*c_1001_2*c_1100_10 - c_1100_10^2 - c_0011_10 - 1/3*c_0011_11 + 1/6*c_0011_4 - 2/3*c_0011_6 - c_1001_1 + 1/3*c_1001_2 + 3, c_0011_10*c_1001_1 + c_0101_10*c_1100_10 + c_0110_4*c_1100_10 - c_1100_10^2 - c_0011_10 - c_1001_1 + 1, c_0101_10*c_1001_1 - c_1001_1*c_1100_10 - c_0101_1 + c_0101_10 + c_0110_4 - c_1100_10, c_0110_4*c_1001_1 + 1/2*c_0011_6*c_1100_10 - c_1001_2*c_1100_10 - 1/2*c_0011_4 - c_0101_10 - c_0110_4 + c_1100_10, c_1001_1^2 + 1/3*c_0011_4*c_1100_10 - 1/2*c_0011_6*c_1100_10 - c_0101_1*c_1100_10 + 2/3*c_1001_2*c_1100_10 + c_0011_10 - 1/3*c_0011_11 + 1/6*c_0011_4 - 2/3*c_0011_6 - 2*c_1001_1 - 2/3*c_1001_2, c_0011_10*c_1001_2 - 1/3*c_0011_4*c_1100_10 + 1/2*c_0011_6*c_1100_10 - 2/3*c_1001_2*c_1100_10 + 1/3*c_0011_11 - 1/6*c_0011_4 + 2/3*c_0011_6 - 1/3*c_1001_2, c_0101_10*c_1001_2 + 1/2*c_0011_6*c_1100_10 - c_1001_2*c_1100_10 - 1/2*c_0011_4, c_0011_11*c_1100_10 + 2/3*c_0011_4*c_1100_10 - 6*c_0011_6*c_1100_10 + 19/3*c_1001_2*c_1100_10 - 11/3*c_0011_11 + 16/3*c_0011_4 + 2/3*c_0011_6 + 8/3*c_1001_2, c_0011_0 - 1, c_0101_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: 0.020 Status: Saturating ideal ( 1 / 12 )... Time: 0.020 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: 0.020 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: 0.020 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: 0.020 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: 0.020 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: 0.160 ==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_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0110_4, c_1001_1, c_1001_2, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 92256/425821*c_1100_10^6 + 31884/425821*c_1100_10^5 + 1431531/425821*c_1100_10^4 - 913958/425821*c_1100_10^3 - 5619450/425821*c_1100_10^2 + 5484472/425821*c_1100_10 - 563638/425821, c_0011_11 + 477592/425821*c_1100_10^6 - 492389/425821*c_1100_10^5 - 7704977/425821*c_1100_10^4 + 9309230/425821*c_1100_10^3 + 31749591/425821*c_1100_10^2 - 45267930/425821*c_1100_10 + 1253443/425821, c_0011_4 - 208488/425821*c_1100_10^6 - 655197/425821*c_1100_10^5 + 2723968/425821*c_1100_10^4 + 8664858/425821*c_1100_10^3 - 9054941/425821*c_1100_10^2 - 28545524/425821*c_1100_10 + 996959/425821, c_0011_6 - 259304/425821*c_1100_10^6 - 68853/425821*c_1100_10^5 + 358093/38711*c_1100_10^4 - 219059/425821*c_1100_10^3 - 15551067/425821*c_1100_10^2 + 6399346/425821*c_1100_10 + 266344/425821, c_0101_0 - 1, c_0101_1 + 1275816/425821*c_1001_1*c_1100_10^6 - 2132851/425821*c_1001_1*c_1100_10^5 - 20982111/425821*c_1001_1*c_1100_10^4 + 37684474/425821*c_1001_1*c_1100_10^3 + 88409840/425821*c_1001_1*c_1100_10^2 - 15592314/38711*c_1001_1*c_1100_10 + 4126136/425821*c_1001_1 - 1102536/425821*c_1100_10^6 + 1974999/425821*c_1100_10^5 + 18223728/425821*c_1100_10^4 - 34538706/425821*c_1100_10^3 - 77126759/425821*c_1100_10^2 + 156039891/425821*c_1100_10 - 3611450/425821, c_0101_10 + 173280/425821*c_1100_10^6 - 157852/425821*c_1100_10^5 - 2758383/425821*c_1100_10^4 + 3145768/425821*c_1100_10^3 + 11283081/425821*c_1100_10^2 - 15901384/425821*c_1100_10 + 514686/425821, c_0110_4 + 1102536/425821*c_1001_1*c_1100_10^6 - 1974999/425821*c_1001_1*c_1100_10^5 - 18223728/425821*c_1001_1*c_1100_10^4 + 34538706/425821*c_1001_1*c_1100_10^3 + 77126759/425821*c_1001_1*c_1100_10^2 - 156039891/425821*c_1001_1*c_1100_10 + 3611450/425821*c_1001_1 - 1275816/425821*c_1100_10^6 + 2132851/425821*c_1100_10^5 + 20982111/425821*c_1100_10^4 - 37684474/425821*c_1100_10^3 - 88409840/425821*c_1100_10^2 + 15592314/38711*c_1100_10 - 4126136/425821, c_1001_1^2 + 259304/425821*c_1001_1*c_1100_10^6 + 68853/425821*c_1001_1*c_1100_10^5 - 358093/38711*c_1001_1*c_1100_10^4 + 219059/425821*c_1001_1*c_1100_10^3 + 15551067/425821*c_1001_1*c_1100_10^2 - 6399346/425821*c_1001_1*c_1100_10 - 692165/425821*c_1001_1 + 92256/425821*c_1100_10^6 - 31884/425821*c_1100_10^5 - 1431531/425821*c_1100_10^4 + 913958/425821*c_1100_10^3 + 5619450/425821*c_1100_10^2 - 5484472/425821*c_1100_10 + 563638/425821, c_1001_2 - 1, c_1100_10^7 - 15/8*c_1100_10^6 - 33/2*c_1100_10^5 + 261/8*c_1100_10^4 + 553/8*c_1100_10^3 - 1173/8*c_1100_10^2 + 33/4*c_1100_10 - 1/8 ] ==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: 3.549 seconds, Total memory usage: 32.09MB