Magma V2.22-2 Sun Aug 9 2020 22:19:14 on zickert [Seed = 326674402] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/11_tetrahedra/L14n38424__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38424 degenerate_solution 3.66386243 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 2 0132 0132 1023 1023 1 1 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 1 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999997891 0.000000000603 0 3 0 4 0132 0132 1023 0132 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 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 0.999999997891 0.000000000603 5 0 6 0 0132 0132 0132 1023 1 1 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 0 0 0 0 0 0 -1 1 3 0 0 -3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999997891 0.000000000603 7 1 6 4 0132 0132 3012 1230 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 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 0.999999999322 -0.000000000377 3 6 1 8 3012 3012 0132 0132 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 1 0 -1 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 -1.000000011573 2.000000005912 2 7 7 7 0132 3120 0132 0132 0 1 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 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 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.000000004218 -0.000000002627 4 3 9 2 1230 1230 0132 0132 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 0 0 0 -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 -1.000000001809 2.000000003578 3 5 5 5 0132 3120 0132 0132 0 1 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 -1 0 1 0 0 0 0 0 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.999999995782 0.000000002634 10 10 4 9 0132 1230 0132 0132 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 0 0 0 0 0 0 0 3 -4 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199999999760 0.400000000325 10 10 8 6 3012 0132 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 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 0.199999999773 0.400000001535 8 9 8 9 0132 0132 3012 1230 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 0 0 1 -1 0 0 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000002022 1.999999999984 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1001_5' : - d['c_0011_0'], 'c_1001_7' : d['c_0011_0'], 'c_1010_5' : 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_3' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_7' : - d['c_0011_0'], 'c_1010_7' : - d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1010_3' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0110_7' : d['c_0101_3'], 'c_1010_0' : d['c_0101_3'], 'c_1001_2' : d['c_0101_3'], 'c_0110_2' : d['c_0101_3'], 'c_0101_5' : d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_1' : - d['c_1100_0'], 'c_1100_2' : - d['c_1100_0'], 'c_1100_4' : - d['c_1100_0'], 'c_1100_6' : - d['c_1100_0'], 'c_1100_8' : - d['c_1100_0'], 'c_1100_9' : - d['c_1100_0'], 'c_1010_1' : - d['c_0011_6'], 'c_1001_3' : - d['c_0011_6'], 'c_1001_4' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_0110_3' : d['c_0011_4'], 'c_0101_7' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0101_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_6' : d['c_0011_4'], 'c_0011_9' : - d['c_0011_10'], 'c_1100_3' : - d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_0110_4' : - d['c_0011_10'], 'c_0101_8' : - d['c_0011_10'], 'c_1010_9' : d['c_0011_10'], 'c_0110_10' : - d['c_0011_10'], 'c_0011_8' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1001_10' : d['c_0011_10'], 'c_1010_4' : - d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_1001_8' : - d['c_0101_6'], 'c_0110_9' : d['c_0101_6'], 'c_1100_10' : d['c_0101_6'], 'c_1100_5' : d['c_1100_5'], 'c_1100_7' : d['c_1100_5'], 'c_1010_8' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_9' : d['c_0101_10'], 'c_1001_9' : d['c_0101_10'], 'c_1010_10' : d['c_0101_10'], 's_1_9' : d['1'], 's_0_9' : - d['1'], 's_3_8' : d['1'], 's_1_8' : d['1'], 's_0_8' : - d['1'], 's_2_6' : - d['1'], 's_3_5' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_3_4' : - d['1'], 's_1_4' : d['1'], 's_3_3' : d['1'], 's_2_3' : d['1'], 's_0_3' : d['1'], 's_2_2' : - d['1'], 's_0_2' : d['1'], 's_3_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_2_1' : d['1'], 's_3_2' : d['1'], 's_1_3' : d['1'], 's_2_4' : - d['1'], 's_0_5' : d['1'], 's_3_6' : - d['1'], 's_0_7' : d['1'], 's_1_6' : d['1'], 's_0_4' : d['1'], 's_0_6' : d['1'], 's_2_8' : - d['1'], 's_1_7' : d['1'], 's_3_7' : d['1'], 's_2_7' : d['1'], 's_3_9' : - d['1'], 's_0_10' : - d['1'], 's_2_10' : d['1'], 's_2_9' : d['1'], 's_3_10' : - d['1'], 's_1_10' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.040 Status: Saturating ideal ( 1 / 11 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 11 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.050 Status: Saturating ideal ( 3 / 11 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 4 / 11 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 5 / 11 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 11 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 11 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 11 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 11 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 10 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 11 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 10 ] Status: Computing RadicalDecomposition Time: 0.070 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.830 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_1100_0, c_1100_5 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_1*c_1100_5^3 + 2*c_0101_1*c_1100_5^2 - 2*c_0101_3*c_1100_5^2 - c_0011_6^2 + 5/2*c_0101_10*c_0101_6 + 4*c_0101_3*c_0101_6 - 1/2*c_0101_6^2 - 9*c_0011_10*c_1100_0 + 2*c_0101_1*c_1100_0 - c_0101_10*c_1100_0 - 8*c_0101_3*c_1100_0 - 3/2*c_0101_6*c_1100_0 + 3/2*c_1100_0^2 - 6*c_0011_10*c_1100_5 + 11*c_0011_6*c_1100_5 + 7*c_0101_1*c_1100_5 - 3*c_0101_3*c_1100_5 - c_0101_6*c_1100_5 + 5*c_1100_0*c_1100_5 - 3*c_1100_5^2 + 7*c_0011_10 + 3*c_0011_6 - 4*c_0101_1 + 6*c_0101_3 - c_1100_0 - 4*c_1100_5 - 5, c_0101_3*c_1100_5^3 - 3*c_0101_1*c_1100_5^2 + 2*c_1100_5^3 - 7/4*c_0101_10*c_0101_6 - c_0101_3*c_0101_6 + 1/4*c_0101_6^2 + 15/2*c_0011_10*c_1100_0 - 3*c_0101_1*c_1100_0 + 2*c_0101_10*c_1100_0 - 3*c_0101_3*c_1100_0 + 11/4*c_0101_6*c_1100_0 - 11/4*c_1100_0^2 + 5*c_0011_10*c_1100_5 - 3*c_0011_6*c_1100_5 - 4*c_0101_1*c_1100_5 + c_0101_10*c_1100_5 + 4*c_0101_3*c_1100_5 + 2*c_1100_0*c_1100_5 + 3*c_1100_5^2 - c_0011_10 - c_0011_6 - 2*c_0101_1 - c_0101_10 - c_0101_3 + c_0101_6 - c_1100_0 + 5*c_1100_5 + 3, c_1100_5^4 - 2*c_0101_1*c_1100_5^2 - c_0101_3*c_1100_5^2 + 2*c_1100_5^3 - 2*c_0011_6^2 - 3*c_0101_10*c_0101_6 + 10*c_0101_3*c_0101_6 + 10*c_0011_10*c_1100_0 + 5*c_0101_1*c_1100_0 + 4*c_0101_10*c_1100_0 - 20*c_0101_3*c_1100_0 + 4*c_0101_6*c_1100_0 - 3*c_1100_0^2 - 11*c_0011_10*c_1100_5 + 27*c_0011_6*c_1100_5 + 5*c_0101_1*c_1100_5 + 3*c_0101_10*c_1100_5 - 2*c_0101_3*c_1100_5 - c_0101_6*c_1100_5 + 16*c_1100_0*c_1100_5 + c_1100_5^2 + 17*c_0011_10 + 5*c_0011_6 - 21*c_0101_1 - c_0101_10 + 22*c_0101_3 - c_0101_6 - 2*c_1100_0 - c_1100_5 - 6, c_0011_6^3 + 2*c_0101_1*c_1100_5^2 - c_1100_5^3 - 3*c_0011_6^2 + 4*c_0101_3*c_0101_6 + 4*c_0101_1*c_1100_0 - 5*c_0101_3*c_1100_0 - 7*c_0011_10*c_1100_5 + 15*c_0011_6*c_1100_5 + 6*c_0101_1*c_1100_5 - 3*c_0101_3*c_1100_5 + 6*c_1100_0*c_1100_5 - 2*c_1100_5^2 + 6*c_0011_10 + 5*c_0011_6 - 6*c_0101_1 + 11*c_0101_3 - 3*c_0101_6 + 3*c_1100_0 - 7*c_1100_5 - 7, c_0101_10*c_0101_6^2 - 7/2*c_0101_10*c_0101_6*c_1100_0 + 3/2*c_0101_6^2*c_1100_0 + 6*c_0011_10*c_1100_0^2 - 3*c_0101_10*c_1100_0^2 + 5/2*c_0101_6*c_1100_0^2 - 3/2*c_1100_0^3, c_0101_3*c_0101_6^2 - 37/20*c_0101_10*c_0101_6*c_1100_5 + 31/20*c_0101_6^2*c_1100_5 + 27/10*c_0011_10*c_1100_0*c_1100_5 - 12/5*c_0101_10*c_1100_0*c_1100_5 + 33/20*c_0101_6*c_1100_0*c_1100_5 - 9/4*c_1100_0^2*c_1100_5 + 6/5*c_0101_10*c_0101_6 - 3/5*c_0101_6^2 - 12/5*c_0011_10*c_1100_0 + 4/5*c_0101_10*c_1100_0 - 9/5*c_0101_6*c_1100_0 + c_1100_0^2, c_0101_6^3 - 7*c_0101_10*c_0101_6*c_1100_0 - 3*c_0101_6^2*c_1100_0 + 11*c_0011_10*c_1100_0^2 + c_0101_10*c_1100_0^2 + c_0101_6*c_1100_0^2 + 3*c_1100_0^3, c_0101_3*c_0101_6*c_1100_0 - 11/10*c_0101_10*c_0101_6*c_1100_5 + 3/10*c_0101_6^2*c_1100_5 + 6/5*c_0011_10*c_1100_0*c_1100_5 - 2/5*c_0101_10*c_1100_0*c_1100_5 - 1/10*c_0101_6*c_1100_0*c_1100_5 - 1/2*c_1100_0^2*c_1100_5 + 7/10*c_0101_10*c_0101_6 - 1/10*c_0101_6^2 - 7/5*c_0011_10*c_1100_0 - 1/5*c_0101_10*c_1100_0 - 3/10*c_0101_6*c_1100_0 - 1/2*c_1100_0^2, c_0101_1*c_1100_0^2 + 1/20*c_0101_10*c_0101_6*c_1100_5 - 3/20*c_0101_6^2*c_1100_5 - 1/10*c_0011_10*c_1100_0*c_1100_5 + 1/5*c_0101_10*c_1100_0*c_1100_5 + 11/20*c_0101_6*c_1100_0*c_1100_5 + 1/4*c_1100_0^2*c_1100_5 + 2/5*c_0101_10*c_0101_6 - 1/5*c_0101_6^2 - 4/5*c_0011_10*c_1100_0 + 3/5*c_0101_10*c_1100_0 + 2/5*c_0101_6*c_1100_0 + c_1100_0^2, c_0101_3*c_1100_0^2 - 7/20*c_0101_10*c_0101_6*c_1100_5 + 1/20*c_0101_6^2*c_1100_5 + 7/10*c_0011_10*c_1100_0*c_1100_5 - 2/5*c_0101_10*c_1100_0*c_1100_5 + 3/20*c_0101_6*c_1100_0*c_1100_5 - 3/4*c_1100_0^2*c_1100_5 - 1/20*c_0101_10*c_0101_6 + 3/20*c_0101_6^2 + 1/10*c_0011_10*c_1100_0 - 1/5*c_0101_10*c_1100_0 - 11/20*c_0101_6*c_1100_0 - 1/4*c_1100_0^2, c_0011_6^2*c_1100_5 + c_0011_6*c_1100_5 - c_1100_0*c_1100_5 + c_0101_3 - c_0101_6 + c_1100_0 - 1, c_0101_3*c_0101_6*c_1100_5 - 1/4*c_0101_10*c_0101_6 + 3/4*c_0101_6^2 + 1/2*c_0011_10*c_1100_0 - 5*c_0101_1*c_1100_0 - 2*c_0101_3*c_1100_0 - 3/4*c_0101_6*c_1100_0 - 5/4*c_1100_0^2 - 2*c_0011_6*c_1100_5 + c_0101_10*c_1100_5 - 2*c_0101_6*c_1100_5 + c_1100_0*c_1100_5 - c_0011_10 + 2*c_0101_1 - 2*c_0101_10 - 2*c_0101_3 + c_0101_6 - 2*c_1100_0, c_0101_1*c_1100_0*c_1100_5 + 3/4*c_0101_10*c_0101_6 + c_0101_3*c_0101_6 - 1/4*c_0101_6^2 - 5/2*c_0011_10*c_1100_0 + c_0101_1*c_1100_0 - 2*c_0101_3*c_1100_0 + 1/4*c_0101_6*c_1100_0 + 3/4*c_1100_0^2 - c_0011_10*c_1100_5 + c_0011_6*c_1100_5 + c_1100_0*c_1100_5 + c_0011_10 - c_0101_1 + c_0101_3 - c_1100_0, c_0101_3*c_1100_0*c_1100_5 - 3/4*c_0101_10*c_0101_6 + 1/4*c_0101_6^2 + 5/2*c_0011_10*c_1100_0 - c_0101_1*c_1100_0 + 3/4*c_0101_6*c_1100_0 - 7/4*c_1100_0^2 + c_0011_10*c_1100_5 + c_1100_0*c_1100_5 + c_1100_0, c_0011_10*c_1100_5^2 + c_0101_10*c_0101_6 - c_0101_3*c_0101_6 - 4*c_0011_10*c_1100_0 - 2*c_0101_1*c_1100_0 - c_0101_6*c_1100_0 + 2*c_0011_10*c_1100_5 - 3*c_0011_6*c_1100_5 - c_1100_0*c_1100_5 - c_0011_10 + 3*c_0101_1 - c_0101_10 - 3*c_0101_3 + c_0101_6, c_0011_6*c_1100_5^2 - c_0101_3*c_0101_6 + c_0101_3*c_1100_0 + 2*c_0011_10*c_1100_5 - c_0011_6*c_1100_5 - c_0101_1*c_1100_5 + c_0101_3*c_1100_5 - c_1100_0*c_1100_5 - c_0011_10 + c_0101_1 - c_0101_3 + c_1100_0, c_0101_10*c_1100_5^2 + 1/4*c_0101_10*c_0101_6 - 2*c_0101_3*c_0101_6 + 1/4*c_0101_6^2 - 1/2*c_0011_10*c_1100_0 - 3*c_0101_1*c_1100_0 - 2*c_0101_10*c_1100_0 + 3*c_0101_3*c_1100_0 - 1/4*c_0101_6*c_1100_0 - 3/4*c_1100_0^2 + 4*c_0011_10*c_1100_5 - 5*c_0011_6*c_1100_5 - 2*c_1100_0*c_1100_5 - 4*c_0011_10 + 5*c_0101_1 - 5*c_0101_3 + c_1100_0, c_0101_6*c_1100_5^2 - 7/4*c_0101_10*c_0101_6 + 1/4*c_0101_6^2 + 9/2*c_0011_10*c_1100_0 - c_0101_1*c_1100_0 + 2*c_0101_3*c_1100_0 - 1/4*c_0101_6*c_1100_0 - 3/4*c_1100_0^2 + c_0101_10*c_1100_5, c_1100_0*c_1100_5^2 - c_0101_10*c_0101_6 + c_0101_3*c_0101_6 + 3*c_0011_10*c_1100_0 + c_0101_10*c_1100_0 - c_0101_3*c_1100_0 + c_0101_6*c_1100_0 - 2*c_1100_0^2 + 2*c_0011_6*c_1100_5 + c_0101_6*c_1100_5 + 2*c_1100_0*c_1100_5 + 2*c_0011_10 - 2*c_0101_1 + 2*c_0101_3 + c_1100_0, c_0011_10^2 + 1/2*c_0101_10*c_0101_6 - 1/2*c_0101_6^2 - c_0011_10*c_1100_0 + c_0101_10*c_1100_0 - 1/2*c_0101_6*c_1100_0 + 1/2*c_1100_0^2, c_0011_10*c_0011_6 - c_0101_3*c_1100_0 + c_1100_0*c_1100_5 + c_0101_6, c_0011_10*c_0101_1 + c_0101_3*c_1100_0 - c_0011_6*c_1100_5 - c_1100_0*c_1100_5 - c_0011_10 + c_0101_1 - c_0101_3, c_0011_6*c_0101_1 + c_1100_0 - 1, c_0101_1^2 - c_0101_3 - c_1100_0, c_0011_10*c_0101_10 + c_0101_10*c_0101_6 - c_0011_10*c_1100_0, c_0011_6*c_0101_10 - c_0101_1*c_1100_0 - c_0011_10*c_1100_5 - c_0011_6*c_1100_5 - c_0101_6*c_1100_5 - c_0011_10 + c_0101_1 - c_0101_10 - c_0101_3, c_0101_1*c_0101_10 - c_0101_3*c_0101_6 + 3*c_0101_3*c_1100_0 + 2*c_0011_10*c_1100_5 - 2*c_0011_6*c_1100_5 - c_0101_10*c_1100_5 + c_0101_6*c_1100_5 - 2*c_1100_0*c_1100_5 - c_0011_10 + 2*c_0101_1 - 2*c_0101_3 + c_1100_0, c_0101_10^2 + 1/4*c_0101_10*c_0101_6 + 1/4*c_0101_6^2 - 1/2*c_0011_10*c_1100_0 - 1/4*c_0101_6*c_1100_0 + 1/4*c_1100_0^2, c_0011_10*c_0101_3 + c_0101_3*c_0101_6 + c_0101_1*c_1100_0 - c_0011_10*c_1100_5 + c_0011_6*c_1100_5 + c_0011_10 - c_0101_1 + c_0101_3, c_0011_6*c_0101_3 - c_0011_6*c_1100_5 - c_0011_10 - c_0101_3, c_0101_1*c_0101_3 + c_0011_6*c_1100_5 + c_0011_10 - c_0101_1 + c_1100_5, c_0101_10*c_0101_3 + 2*c_0101_1*c_1100_0 + 2*c_0101_3*c_1100_0 + c_0011_6*c_1100_5 - c_0101_10*c_1100_5 + c_0101_6*c_1100_5 - c_1100_0*c_1100_5 - c_0101_1 + c_0101_10 + c_0101_3 - c_0101_6 + c_1100_0, c_0101_3^2 + c_0011_6*c_1100_5 + c_0101_1*c_1100_5 + c_0011_10 - c_0101_1 - c_1100_0 + c_1100_5, c_0011_10*c_0101_6 - 1/4*c_0101_10*c_0101_6 + 3/4*c_0101_6^2 + 1/2*c_0011_10*c_1100_0 - c_0101_10*c_1100_0 + 1/4*c_0101_6*c_1100_0 - 1/4*c_1100_0^2, c_0011_6*c_0101_6 + 2*c_0101_3*c_1100_0 - c_0101_10*c_1100_5 - 2*c_1100_0*c_1100_5 - c_0011_10 - 2*c_0101_6, c_0101_1*c_0101_6 - c_0101_3*c_0101_6 - c_0101_1*c_1100_0 + c_0101_3*c_1100_0 + c_0011_10*c_1100_5 - c_0011_6*c_1100_5 + c_0101_1 - c_0101_3 + c_1100_0, c_0011_6*c_1100_0 + c_0101_1*c_1100_0 + c_0011_6*c_1100_5 + c_0011_10 - c_0101_1 + c_0101_3, c_0011_0 - 1, c_0011_4 + c_0101_3 - c_1100_5, c_0101_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1100_0" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 5 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 11 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 11 )... 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: 0.020 Status: Saturating ideal ( 1 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 11 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 11 )... Time: 0.010 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: 0.100 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_1100_0, c_1100_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 4645916592/368660976733*c_1100_5^11 + 32697248432/368660976733*c_1100_5^10 + 64884000268/368660976733*c_1100_5^9 - 24612257430/368660976733*c_1100_5^8 - 236935216160/368660976733*c_1100_5^7 - 214442465956/368660976733*c_1100_5^6 + 306687735124/368660976733*c_1100_5^5 + 528459794008/368660976733*c_1100_5^4 + 169250521432/368660976733*c_1100_5^3 + 88304202528/368660976733*c_1100_5^2 + 763240391610/368660976733*c_1100_5 + 74274848818/368660976733, c_0011_4 - 4091594921/1843304883665*c_1100_5^11 - 22815204816/1843304883665*c_1100_5^10 - 44255793013/1843304883665*c_1100_5^9 - 1876991152/52665853819*c_1100_5^8 + 23073287074/1843304883665*c_1100_5^7 + 100486604490/368660976733*c_1100_5^6 + 511838495647/1843304883665*c_1100_5^5 - 71421359101/368660976733*c_1100_5^4 - 1757745758033/1843304883665*c_1100_5^3 - 195539612207/263329269095*c_1100_5^2 - 676216216493/1843304883665*c_1100_5 - 312428687807/1843304883665, c_0011_6 - 8127726737/1843304883665*c_1100_5^11 - 54327758357/1843304883665*c_1100_5^10 - 108036688731/1843304883665*c_1100_5^9 - 2320049024/368660976733*c_1100_5^8 + 283689140828/1843304883665*c_1100_5^7 + 100166743270/368660976733*c_1100_5^6 - 155570011221/1843304883665*c_1100_5^5 - 155146958462/368660976733*c_1100_5^4 - 841536959106/1843304883665*c_1100_5^3 - 677786521128/1843304883665*c_1100_5^2 - 323282210456/1843304883665*c_1100_5 - 1759867834849/1843304883665, c_0101_0 - 1, c_0101_1 + 1535875286/263329269095*c_1100_5^11 + 62901665417/1843304883665*c_1100_5^10 + 10045531913/263329269095*c_1100_5^9 - 34122229362/368660976733*c_1100_5^8 - 413148048248/1843304883665*c_1100_5^7 - 5466131158/368660976733*c_1100_5^6 + 178846105483/263329269095*c_1100_5^5 + 142058501915/368660976733*c_1100_5^4 - 1649234651354/1843304883665*c_1100_5^3 - 903577085392/1843304883665*c_1100_5^2 + 1334097951861/1843304883665*c_1100_5 + 1202259663664/1843304883665, c_0101_10 - 4322399082/368660976733*c_1100_5^11 - 20343120512/368660976733*c_1100_5^10 + 1608888388/368660976733*c_1100_5^9 + 119557907202/368660976733*c_1100_5^8 + 161100594840/368660976733*c_1100_5^7 - 133209622442/368660976733*c_1100_5^6 - 707155119962/368660976733*c_1100_5^5 - 168503807412/368660976733*c_1100_5^4 + 636931965352/368660976733*c_1100_5^3 + 513637313940/368660976733*c_1100_5^2 + 74200324252/368660976733*c_1100_5 + 760175891446/368660976733, c_0101_3 + 4091594921/1843304883665*c_1100_5^11 + 22815204816/1843304883665*c_1100_5^10 + 44255793013/1843304883665*c_1100_5^9 + 1876991152/52665853819*c_1100_5^8 - 23073287074/1843304883665*c_1100_5^7 - 100486604490/368660976733*c_1100_5^6 - 511838495647/1843304883665*c_1100_5^5 + 71421359101/368660976733*c_1100_5^4 + 1757745758033/1843304883665*c_1100_5^3 + 195539612207/263329269095*c_1100_5^2 - 1167088667172/1843304883665*c_1100_5 + 312428687807/1843304883665, c_0101_6 - 11891607356/368660976733*c_1100_5^11 - 77404746030/368660976733*c_1100_5^10 - 118239088088/368660976733*c_1100_5^9 + 173891741214/368660976733*c_1100_5^8 + 627403862000/368660976733*c_1100_5^7 + 260737729200/368660976733*c_1100_5^6 - 1289122017326/368660976733*c_1100_5^5 - 1305285710714/368660976733*c_1100_5^4 + 103249229086/52665853819*c_1100_5^3 + 513744702250/368660976733*c_1100_5^2 - 1241117075396/368660976733*c_1100_5 + 651956108976/368660976733, c_1100_0 - 2, c_1100_5^12 + 4*c_1100_5^11 - 4*c_1100_5^10 - 26*c_1100_5^9 - 4*c_1100_5^8 + 68*c_1100_5^7 + 93*c_1100_5^6 - 146*c_1100_5^5 - 162*c_1100_5^4 + 173*c_1100_5^3 + 95*c_1100_5^2 - 194*c_1100_5 + 201 ] ==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: 3.830 seconds, Total memory usage: 32.09MB