Magma V2.22-2 Sun Aug 9 2020 22:19:50 on zickert [Seed = 2263525254] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L13n10394__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10394 degenerate_solution 8.99735216 oriented_manifold CS_unknown 3 0 torus 0.000000000000 -0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000001942 0.500000001849 0 5 2 6 0132 0132 2031 0132 1 2 1 2 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 0 0 0 1 0 -1 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000041 0.000000004865 7 0 3 1 0132 0132 0321 1302 2 2 1 2 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 0 1 0 0 2 -2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000005825 0.999999997037 4 6 2 0 3120 1302 0321 0132 2 2 1 2 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999997915 0.500000001211 6 7 0 3 0132 1302 0132 3120 2 2 1 2 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 1 -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 1.000000002710 0.999999998050 7 1 8 9 1023 0132 0132 0132 1 1 2 1 0 0 0 0 0 0 1 -1 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 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 0.624999999207 0.330718913947 4 9 1 3 0132 2031 0132 2031 1 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1729044.680251254467 205525674.230003982782 2 5 9 4 0132 1023 2310 2031 1 2 2 1 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 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 -124269588.104779899120 391831899.666308164597 10 11 10 5 0132 0132 3012 0132 1 1 1 0 0 0 0 0 1 0 0 -1 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 1 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 0.749999995901 0.661437828437 6 7 5 11 1302 3201 0132 1302 1 1 1 2 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625000000430 0.330718917707 8 8 12 12 0132 1230 0132 2031 1 1 0 1 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 0 0 0 0 0 -1 0 1 1 0 -1 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 0.500000005262 1.322875649104 12 8 9 12 2031 0132 2031 1230 1 1 0 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 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000002934 0.661437824277 11 10 11 10 3012 1302 1302 0132 1 1 1 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 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000003829 0.661437830241 ==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_7' : 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_0110_4' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_1100_2' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1100_1' : - d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1100_6' : - d['c_1001_0'], 'c_0101_2' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0101_3' : - d['c_0101_2'], 'c_1010_0' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 'c_1001_1' : - d['c_0101_7'], 'c_1010_5' : - d['c_0101_7'], 'c_0110_2' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_1001_9' : - d['c_0101_7'], 'c_1010_1' : - d['c_0110_9'], 'c_1001_5' : - d['c_0110_9'], 'c_1001_6' : - d['c_0110_9'], 'c_1010_8' : - d['c_0110_9'], 'c_0110_9' : d['c_0110_9'], 'c_1001_11' : - d['c_0110_9'], 'c_0011_3' : d['c_0011_3'], 'c_1010_4' : - d['c_0011_3'], 'c_1010_6' : d['c_0011_3'], 'c_1100_7' : d['c_0011_3'], 'c_0011_9' : d['c_0011_3'], 'c_0110_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : - d['c_0011_4'], 'c_1010_7' : d['c_0011_4'], 'c_0101_9' : d['c_0011_4'], 'c_0101_5' : d['c_0101_10'], 'c_1001_7' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_1010_9' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1100_11' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_1100_10' : d['c_0101_11'], 'c_1100_12' : d['c_0101_11'], 'c_1100_5' : d['c_0101_11'], 'c_1100_8' : d['c_0101_11'], 'c_1100_9' : d['c_0101_11'], 'c_1001_10' : - d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1010_12' : - d['c_0101_11'], 'c_1001_8' : - d['c_0011_10'], 'c_1010_11' : - d['c_0011_10'], 'c_0011_8' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_11' : d['c_0011_10'], 'c_0101_12' : - d['c_0011_10'], 'c_0110_11' : d['c_0011_12'], 'c_0101_8' : d['c_0011_12'], 'c_0110_10' : d['c_0011_12'], 'c_1010_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_10' : d['1'], 's_2_10' : d['1'], 's_3_9' : d['1'], 's_2_8' : d['1'], 's_1_8' : d['1'], 's_0_8' : d['1'], 's_2_7' : d['1'], 's_1_6' : d['1'], 's_3_5' : d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_1_4' : d['1'], 's_0_4' : - 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_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_2' : d['1'], 's_2_6' : - d['1'], 's_0_7' : d['1'], 's_2_3' : d['1'], 's_3_4' : d['1'], 's_3_6' : d['1'], 's_0_6' : - d['1'], 's_3_7' : d['1'], 's_1_7' : d['1'], 's_3_8' : d['1'], 's_2_9' : d['1'], 's_0_9' : d['1'], 's_1_9' : d['1'], 's_0_10' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 's_2_11' : d['1'], 's_3_12' : d['1'], 's_1_12' : d['1'], 's_2_12' : d['1'], 's_0_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.060 Status: Saturating ideal ( 1 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.040 Status: Saturating ideal ( 9 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 12 ] Status: Computing RadicalDecomposition Time: 0.160 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.880 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_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0110_9, c_1001_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_11^5 - 15/2*c_0101_11^4*c_0110_9 + 9*c_0101_10*c_0101_11^2*c_0110_9^2 + 34*c_0101_11^3*c_0110_9^2 + 22*c_0101_10*c_0101_11*c_0110_9^3 + 69/2*c_0101_11^2*c_0110_9^3 + 4*c_0101_10*c_0110_9^4 + 19/2*c_0101_11*c_0110_9^4 + 9/2*c_0110_9^5, c_0101_0*c_0110_9^4 + 1/8*c_0101_11^4*c_1001_0 + 3/4*c_0101_10*c_0101_11^2*c_0110_9*c_1001_0 - 1/4*c_0101_11^3*c_0110_9*c_1001_0 + 9/2*c_0101_10*c_0101_11*c_0110_9^2*c_1001_0 + 39/8*c_0101_11^2*c_0110_9^2*c_1001_0 + 1/2*c_0101_10*c_0110_9^3*c_1001_0 + 21/8*c_0101_11*c_0110_9^3*c_1001_0 + 13/8*c_0110_9^4*c_1001_0 - c_0110_9^4, c_0110_9^3*c_1001_0^2 - 1/16*c_0101_11^4 - 27/8*c_0101_10*c_0101_11^2*c_0110_9 - 15/8*c_0101_11^3*c_0110_9 + 21/4*c_0101_10*c_0101_11*c_0110_9^2 + 73/16*c_0101_11^2*c_0110_9^2 + 5/4*c_0101_10*c_0110_9^3 + 11/16*c_0101_11*c_0110_9^3 + 35/16*c_0110_9^4 - 6*c_0101_10*c_0101_11^2*c_1001_0 - 4*c_0101_11^3*c_1001_0 + 15*c_0101_10*c_0101_11*c_0110_9*c_1001_0 + 14*c_0101_11^2*c_0110_9*c_1001_0 + 3*c_0101_10*c_0110_9^2*c_1001_0 + 4*c_0101_11*c_0110_9^2*c_1001_0 + 6*c_0110_9^3*c_1001_0 - c_0110_9^3, c_0101_10*c_0101_11^3 + 3/4*c_0101_11^4 - 1/2*c_0101_10*c_0101_11^2*c_0110_9 - 3/2*c_0101_11^3*c_0110_9 - c_0101_10*c_0101_11*c_0110_9^2 - 3/4*c_0101_11^2*c_0110_9^2 - 1/4*c_0101_11*c_0110_9^3 - 1/4*c_0110_9^4, c_0101_0*c_0101_11*c_0110_9^2 - c_0101_0*c_0110_9^3 + 3*c_0101_10*c_0101_11^2*c_1001_0 + 2*c_0101_11^3*c_1001_0 - 6*c_0101_10*c_0101_11*c_0110_9*c_1001_0 - 6*c_0101_11^2*c_0110_9*c_1001_0 - c_0101_10*c_0110_9^2*c_1001_0 - 2*c_0101_11*c_0110_9^2*c_1001_0 - 2*c_0110_9^3*c_1001_0 - c_0101_11*c_0110_9^2 + c_0110_9^3, c_0011_3*c_0110_9^3 - 4*c_0101_10*c_0101_11^2*c_1001_0 - 3*c_0101_11^3*c_1001_0 + 2*c_0101_10*c_0101_11*c_0110_9*c_1001_0 + 6*c_0101_11^2*c_0110_9*c_1001_0 + 2*c_0101_10*c_0110_9^2*c_1001_0 + 2*c_0101_11*c_0110_9^2*c_1001_0 + 2*c_0110_9^3*c_1001_0 + 2*c_0110_9^2*c_1001_0^2 - 6*c_0101_10*c_0101_11^2 - 4*c_0101_11^3 + 4*c_0101_0*c_0101_11*c_0110_9 + 15*c_0101_10*c_0101_11*c_0110_9 + 14*c_0101_11^2*c_0110_9 - 4*c_0101_0*c_0110_9^2 + 3*c_0101_10*c_0110_9^2 + 4*c_0101_11*c_0110_9^2 + 6*c_0110_9^3 + 6*c_0101_10*c_0101_11*c_1001_0 + 4*c_0101_11^2*c_1001_0 + 2*c_0101_10*c_0110_9*c_1001_0 + 4*c_0110_9^2*c_1001_0 - 4*c_0101_11*c_0110_9 + 2*c_0110_9^2, c_0101_10*c_0101_11*c_1001_0^2 - 2*c_0101_10*c_0101_11*c_0110_9 - c_0101_11^2*c_0110_9 - c_0110_9^3 - 6*c_0101_10*c_0101_11*c_1001_0 - 4*c_0101_11^2*c_1001_0 - c_0101_11*c_0110_9*c_1001_0 - 3*c_0110_9^2*c_1001_0 - c_0101_10*c_0101_11, c_0101_11^2*c_1001_0^2 - c_0110_9^2*c_1001_0^2 + 3*c_0101_10*c_0101_11^2 + 2*c_0101_11^3 - 2*c_0101_0*c_0101_11*c_0110_9 - 5*c_0101_10*c_0101_11*c_0110_9 - 6*c_0101_11^2*c_0110_9 + 4*c_0101_0*c_0110_9^2 - 2*c_0101_10*c_0110_9^2 - 2*c_0101_11*c_0110_9^2 - 2*c_0110_9^3 + 7*c_0101_10*c_0101_11*c_1001_0 + 4*c_0101_11^2*c_1001_0 - 2*c_0101_10*c_0110_9*c_1001_0 + 2*c_0101_11*c_0110_9*c_1001_0 + 2*c_0110_9^2*c_1001_0 - c_0101_11^2 + 2*c_0101_11*c_0110_9 - 3*c_0110_9^2, c_0101_10*c_0110_9*c_1001_0^2 - 4*c_0101_10*c_0101_11^2 - 3*c_0101_11^3 + 2*c_0101_10*c_0101_11*c_0110_9 + 6*c_0101_11^2*c_0110_9 - 3*c_0011_3*c_0110_9^2 + 2*c_0101_10*c_0110_9^2 + 2*c_0101_11*c_0110_9^2 + c_0110_9^3 - c_0101_11*c_0110_9*c_1001_0 - 4*c_0110_9^2*c_1001_0 + 3*c_0101_11*c_1001_0^2 + 3*c_0110_9*c_1001_0^2 - 3*c_0101_0*c_0101_11 - 9*c_0101_0*c_0110_9 + 2*c_0101_10*c_0110_9 + 6*c_0101_10*c_1001_0 + 6*c_0110_9, c_0101_11*c_0110_9*c_1001_0^2 + 3*c_0110_9^2*c_1001_0^2 - 6*c_0101_10*c_0101_11^2 - 4*c_0101_11^3 + 3*c_0101_0*c_0101_11*c_0110_9 + 15*c_0101_10*c_0101_11*c_0110_9 + 14*c_0101_11^2*c_0110_9 - 7*c_0101_0*c_0110_9^2 + 4*c_0101_10*c_0110_9^2 + 4*c_0101_11*c_0110_9^2 + 6*c_0110_9^3 + 6*c_0101_10*c_0101_11*c_1001_0 + 4*c_0101_11^2*c_1001_0 + 4*c_0101_10*c_0110_9*c_1001_0 + 4*c_0110_9^2*c_1001_0 - 4*c_0101_11*c_0110_9 + 4*c_0110_9^2, c_0011_4^3 - 2*c_0011_4^2 + 4*c_0011_4*c_0101_0 + 2*c_0011_12*c_0101_11 - 3*c_0011_3*c_0101_11 + 2*c_0011_4*c_0101_11 - 2*c_0011_12*c_0101_7 + 2*c_0101_11*c_0101_7 - c_0101_7^2 - c_0011_3*c_0110_9 - 10*c_0011_3*c_1001_0 - 6*c_0101_11*c_1001_0 + 14*c_0101_2*c_1001_0 - 17*c_1001_0^2 + 2*c_0011_3 - 14*c_0011_4 + c_0101_0 - 4*c_0101_10 + 4*c_0101_11 - 4*c_0110_9 - 4, c_0011_4^2*c_0101_0 + c_0011_4^2 - 3*c_0011_4*c_0101_0 + 2*c_0011_12*c_0101_11 - c_0011_3*c_0101_11 + 6*c_0101_2^2 - 2*c_0011_12*c_0101_7 + 2*c_0101_11*c_0101_7 - c_0101_7^2 + 2*c_0011_4*c_0110_9 + 2*c_0011_12*c_1001_0 + 2*c_0011_4*c_1001_0 - 2*c_0101_10*c_1001_0 - 2*c_0101_11*c_1001_0 + c_0110_9*c_1001_0 - c_1001_0^2 - 4*c_0011_3 - 5*c_0011_4 + 4*c_0101_0 - 4*c_0101_10 + 4*c_0101_2 - 2*c_0101_7 - 4*c_1001_0 - 1, c_0011_4^2*c_0101_11 + 1/2*c_0101_11*c_1001_0^2 + 3/2*c_0110_9*c_1001_0^2 - 3*c_0011_12*c_0101_11 - 4*c_0011_4*c_0101_11 + 7/2*c_0101_0*c_0101_11 + 15/2*c_0101_10*c_0101_11 + 5*c_0101_11^2 + 2*c_0011_3*c_0110_9 + c_0011_4*c_0110_9 - 11/2*c_0101_0*c_0110_9 + c_0101_10*c_0110_9 + 2*c_0101_11*c_0110_9 + 3*c_0110_9^2 + c_0011_3*c_1001_0 + 2*c_0101_10*c_1001_0 - 4*c_0101_2*c_1001_0 + 2*c_0110_9*c_1001_0 + 3*c_1001_0^2 + c_0011_4 - c_0101_0 + c_0101_10 - 6*c_0101_11 + 5*c_0110_9, c_0011_4*c_0101_0*c_0101_11 + c_0011_12*c_0101_11 + 4*c_0011_3*c_0101_11 - 2*c_0011_4*c_0101_11 + c_0101_10*c_0101_11 + 2*c_0101_11*c_0101_7 + c_0101_0*c_0110_9 + c_0011_3*c_1001_0 + 4*c_0101_11*c_1001_0 - 4*c_0101_2*c_1001_0 - 2*c_0110_9*c_1001_0 + 3*c_1001_0^2 + c_0011_4 - c_0101_0 + c_0101_10 - 2*c_0101_11 - c_0110_9, c_0011_12*c_0101_11^2 + c_0101_10*c_1001_0^2 - 1/2*c_0101_11*c_1001_0^2 - 3/2*c_0110_9*c_1001_0^2 + c_0011_12*c_0101_11 - 2*c_0011_3*c_0101_11 + c_0011_4*c_0101_11 - 3/2*c_0101_0*c_0101_11 - 11/2*c_0101_10*c_0101_11 - c_0101_11^2 - 3*c_0011_3*c_0110_9 + 7/2*c_0101_0*c_0110_9 - 2*c_0110_9^2 - 4*c_0011_3*c_1001_0 - 2*c_0101_10*c_1001_0 - 3*c_0101_11*c_1001_0 + 4*c_0101_2*c_1001_0 - 4*c_0110_9*c_1001_0 - 6*c_1001_0^2 - 4*c_0011_4 - 2*c_0101_0 - 2*c_0101_10 + 3*c_0101_11 - 3*c_0110_9, c_0011_3*c_0101_11^2 + 2*c_0101_0*c_0101_11*c_0110_9 + c_0011_3*c_0110_9^2 - 2*c_0101_0*c_0110_9^2 - 10*c_0101_10*c_0101_11*c_1001_0 - 5*c_0101_11^2*c_1001_0 - 3*c_0101_11*c_0110_9*c_1001_0 - 2*c_0110_9^2*c_1001_0 + 5*c_0101_10*c_0101_11 + 4*c_0101_11^2 + 4*c_0110_9^2, c_0011_4*c_0101_11^2 + 3*c_0101_0*c_0101_11*c_0110_9 + 2*c_0011_3*c_0110_9^2 - 3*c_0101_0*c_0110_9^2 - 14*c_0101_10*c_0101_11*c_1001_0 - 6*c_0101_11^2*c_1001_0 + c_0101_10*c_0110_9*c_1001_0 - 2*c_0101_11*c_0110_9*c_1001_0 - 2*c_0110_9^2*c_1001_0 - c_0101_10*c_1001_0^2 - c_0101_11*c_1001_0^2 + c_0110_9*c_1001_0^2 - 2*c_0011_12*c_0101_11 + 4*c_0011_3*c_0101_11 - 2*c_0011_4*c_0101_11 + 5*c_0101_0*c_0101_11 + 13*c_0101_10*c_0101_11 + 9*c_0101_11^2 + 3*c_0011_3*c_0110_9 - c_0101_0*c_0110_9 + 8*c_0110_9^2 + 5*c_0011_3*c_1001_0 + 5*c_0101_11*c_1001_0 - 8*c_0101_2*c_1001_0 + 4*c_0110_9*c_1001_0 + 9*c_1001_0^2 + 5*c_0011_4 + c_0101_0 + 3*c_0101_10 - 6*c_0101_11 + 2*c_0110_9, c_0101_0*c_0101_11^2 + c_0101_0*c_0110_9^2 + 5*c_0101_10*c_0101_11*c_1001_0 + 4*c_0101_11^2*c_1001_0 + 2*c_0101_11*c_0110_9*c_1001_0 + 2*c_0110_9^2*c_1001_0 - c_0101_11^2 - c_0110_9^2, c_0101_2^3 + 1/2*c_0011_12*c_0101_7 + 1/2*c_0011_4*c_0110_9 + 1/2*c_0011_4*c_1001_0 - 1/2*c_0101_10*c_1001_0 - 1/2*c_0011_12 - c_0011_3 + 1/2*c_0011_4 + 3/2*c_0101_2 + 1/2*c_0101_7 + 1/2*c_0110_9 - 3/2*c_1001_0, c_0011_12*c_0101_11*c_0101_7 - c_0011_12*c_0101_11 + c_0011_3*c_0101_11 - c_0011_4*c_0101_11 + c_0101_11*c_0101_7 - c_0011_3*c_1001_0 - c_0110_9*c_1001_0 - c_1001_0^2 - c_0011_4 - c_0101_0, c_0101_11^2*c_0101_7 - c_0101_11^2*c_1001_0 - c_0101_11*c_1001_0^2 - c_0110_9*c_1001_0^2 + c_0101_0*c_0101_11 - 5*c_0101_10*c_0101_11 - 4*c_0101_11^2 + 3*c_0101_0*c_0110_9 - c_0101_10*c_0110_9 - 2*c_0101_11*c_0110_9 - 2*c_0110_9^2 - 2*c_0101_10*c_1001_0 - 2*c_0110_9, c_0011_12*c_0101_7^2 - c_0011_4*c_0101_0 + 2*c_0101_2^2 - c_0011_12*c_0101_7 - c_0101_7^2 - 2*c_0011_4*c_0110_9 + c_0011_12*c_1001_0 - c_0011_3*c_1001_0 - c_0011_4*c_1001_0 + 2*c_0101_10*c_1001_0 - c_1001_0^2 - c_0011_12 + 3*c_0011_3 - 4*c_0011_4 - 2*c_0101_10 + 2*c_0101_7 - 2*c_0110_9 - 1, c_0101_11*c_0101_7^2 - c_0101_11*c_1001_0^2 - c_0011_12*c_0101_11 + 2*c_0101_0*c_0101_11 - 2*c_0101_11*c_0101_7 + c_0011_3*c_1001_0 + 2*c_0101_11*c_1001_0 - 4*c_0101_2*c_1001_0 + 3*c_1001_0^2 + c_0011_4 - c_0101_0 + c_0101_10 - 2*c_0101_11 + c_0110_9, c_0101_7^3 - c_0011_4^2 - c_0011_4*c_0101_0 - 3/2*c_0011_12*c_0101_11 + c_0011_3*c_0101_11 - 1/2*c_0011_4*c_0101_11 + c_0101_0*c_0101_11 - 2*c_0101_2^2 + 2*c_0011_12*c_0101_7 - c_0101_11*c_0101_7 - 2*c_0101_7^2 - 3*c_0011_4*c_0110_9 - 1/2*c_0101_0*c_0110_9 + 1/2*c_0011_3*c_1001_0 - 2*c_0011_4*c_1001_0 + 7/2*c_0101_10*c_1001_0 + 2*c_0101_11*c_1001_0 - 4*c_0101_2*c_1001_0 + 11/2*c_1001_0^2 - c_0011_12 + 5*c_0011_3 + 1/2*c_0011_4 - 13/2*c_0101_0 - 1/2*c_0101_10 - 7/2*c_0101_11 - 2*c_0101_2 + 3*c_0101_7 - 2*c_0110_9 + c_1001_0 + 2, c_0011_4^2*c_0110_9 - 3/2*c_0101_11*c_1001_0^2 - 1/2*c_0110_9*c_1001_0^2 - c_0011_12*c_0101_11 + 2*c_0011_3*c_0101_11 - 2*c_0011_4*c_0101_11 + 5/2*c_0101_0*c_0101_11 + 3/2*c_0101_10*c_0101_11 + c_0101_11^2 + c_0011_4*c_0110_9 + 3/2*c_0101_0*c_0110_9 + c_0110_9^2 + c_0011_3*c_1001_0 - c_0101_10*c_1001_0 + 2*c_0101_11*c_1001_0 - 4*c_0101_2*c_1001_0 + 3*c_1001_0^2 + c_0011_4 - c_0101_0 + c_0101_10 - 3*c_0101_11, c_0011_4*c_0101_0*c_0110_9 - c_0101_0*c_0101_11 + c_0101_10*c_0110_9 + c_0101_10*c_1001_0, c_0011_3*c_0101_11*c_0110_9 - 2*c_0101_10*c_0101_11*c_1001_0 - c_0101_11^2*c_1001_0 + c_0101_11*c_0110_9*c_1001_0 - c_0110_9^2*c_1001_0 - 1/2*c_0101_11*c_1001_0^2 + 1/2*c_0110_9*c_1001_0^2 - c_0011_12*c_0101_11 + 2*c_0011_3*c_0101_11 - c_0011_4*c_0101_11 + 5/2*c_0101_0*c_0101_11 + 3/2*c_0101_10*c_0101_11 + c_0101_11^2 - 1/2*c_0101_0*c_0110_9 + c_0110_9^2 + c_0011_3*c_1001_0 + 2*c_0101_11*c_1001_0 - 4*c_0101_2*c_1001_0 + 3*c_1001_0^2 + c_0011_4 - c_0101_0 + c_0101_10 - 3*c_0101_11 + c_0110_9, c_0011_4*c_0101_11*c_0110_9 - c_0101_10*c_0101_11*c_1001_0 + 2*c_0101_10*c_0101_11 + c_0101_11^2 + c_0101_11*c_0110_9 + c_0110_9^2, c_0011_4*c_0110_9^2 - c_0101_10*c_0110_9*c_1001_0 + c_0101_10*c_1001_0^2 - 3*c_0011_3*c_0110_9 + c_0110_9^2 - 3*c_0011_3*c_1001_0 - c_0101_11*c_1001_0 - 4*c_0110_9*c_1001_0 - 3*c_1001_0^2 - 3*c_0011_4 - 3*c_0101_0 - c_0101_10, c_0011_4^2*c_1001_0 + 4*c_0011_4*c_0101_0 - c_0011_12*c_0101_11 - c_0101_0*c_0101_11 - 4*c_0101_2^2 + c_0011_12*c_0101_7 - 2*c_0101_11*c_0101_7 + 2*c_0101_7^2 - c_0101_0*c_0110_9 - 2*c_0011_12*c_1001_0 + c_0011_3*c_1001_0 + 2*c_0011_4*c_1001_0 + c_0101_10*c_1001_0 + 2*c_0101_11*c_1001_0 + c_1001_0^2 + c_0011_12 + 6*c_0011_4 + c_0101_0 + 5*c_0101_10 + 2*c_0101_11 - 2*c_0101_2 + 3*c_0110_9 + 4*c_1001_0, c_0011_12*c_0101_11*c_1001_0 - c_0011_12*c_0101_11 + c_0011_3*c_0101_11 - c_0011_4*c_0101_11 - c_0101_11*c_0101_7 + c_0011_3*c_1001_0 + 2*c_0101_11*c_1001_0 - 4*c_0101_2*c_1001_0 - c_0110_9*c_1001_0 + 3*c_1001_0^2 + c_0011_4 - c_0101_0 + c_0101_10 - c_0101_11 + c_0110_9, c_0011_3*c_0101_11*c_1001_0 + 3/2*c_0101_11*c_1001_0^2 - 1/2*c_0110_9*c_1001_0^2 + c_0011_12*c_0101_11 - 2*c_0011_3*c_0101_11 + 2*c_0011_4*c_0101_11 - 3/2*c_0101_0*c_0101_11 - 3/2*c_0101_10*c_0101_11 - c_0101_11^2 + 1/2*c_0101_0*c_0110_9 - c_0110_9^2 - c_0011_3*c_1001_0 - 2*c_0101_11*c_1001_0 + 4*c_0101_2*c_1001_0 - 3*c_1001_0^2 - c_0011_4 + c_0101_0 - c_0101_10 + 3*c_0101_11 - c_0110_9, c_0011_4*c_0101_11*c_1001_0 - 3*c_0011_3*c_0101_11 + 2*c_0011_4*c_0101_11 - 2*c_0101_10*c_0101_11 - c_0101_11^2 - c_0101_11*c_0101_7 - c_0110_9^2 - c_0011_3*c_1001_0 - 2*c_0101_11*c_1001_0 + 4*c_0101_2*c_1001_0 + c_0110_9*c_1001_0 - 3*c_1001_0^2 - c_0011_4 + c_0101_0 - c_0101_10 + 2*c_0101_11, c_0101_2^2*c_1001_0 - 1/4*c_0011_4^2 - 1/4*c_0011_4*c_0101_0 - 1/2*c_0101_2^2 + 1/2*c_0011_12*c_0101_7 - 1/4*c_0101_11*c_0101_7 - 1/4*c_0101_7^2 - 1/4*c_0011_4*c_0110_9 + 1/4*c_0011_12*c_1001_0 - 1/4*c_0011_3*c_1001_0 - 1/4*c_0011_4*c_1001_0 + 1/4*c_0101_10*c_1001_0 + 1/4*c_0101_11*c_1001_0 + 1/2*c_0101_2*c_1001_0 - 1/4*c_0011_12 + c_0011_3 - 3/4*c_0101_0 - 1/2*c_0101_10 + c_0101_7 - 1/4*c_0110_9 + 1/2*c_1001_0 + 1/4, c_0011_3*c_0110_9*c_1001_0 + c_0101_11*c_1001_0^2 + 2*c_0110_9*c_1001_0^2 - c_0101_0*c_0101_11 + c_0011_4*c_0110_9 - 2*c_0101_0*c_0110_9 + c_0101_10*c_0110_9 + 2*c_0101_10*c_1001_0 + 2*c_0110_9, c_0011_4*c_0110_9*c_1001_0 - c_0101_10*c_1001_0^2 + c_0011_3*c_0110_9 + c_0011_3*c_1001_0 + 2*c_0110_9*c_1001_0 + c_1001_0^2 + c_0011_4 + c_0101_0, c_0011_12*c_1001_0^2 + c_0011_4*c_0101_0 - c_0101_7^2 - c_0011_3*c_1001_0 + c_0011_4*c_1001_0 - c_1001_0^2 + c_0011_3 - 2*c_0011_4 + c_0101_7 + c_1001_0 - 1, c_0011_3*c_1001_0^2 + c_0011_4^2 + c_0011_4*c_0101_0 + 3/2*c_0011_12*c_0101_11 - c_0011_3*c_0101_11 + 1/2*c_0011_4*c_0101_11 - c_0101_0*c_0101_11 + 2*c_0101_2^2 - 2*c_0011_12*c_0101_7 + c_0101_11*c_0101_7 + c_0101_7^2 + 2*c_0011_4*c_0110_9 + 3/2*c_0101_0*c_0110_9 - c_0011_12*c_1001_0 - 1/2*c_0011_3*c_1001_0 + 2*c_0011_4*c_1001_0 - 5/2*c_0101_10*c_1001_0 - 2*c_0101_11*c_1001_0 + 4*c_0101_2*c_1001_0 - 9/2*c_1001_0^2 + c_0011_12 - 2*c_0011_3 - 3/2*c_0011_4 + 9/2*c_0101_0 + 1/2*c_0101_10 + 7/2*c_0101_11 + 2*c_0101_2 - 4*c_0101_7 - 4*c_0110_9 - 4*c_1001_0 - 1, c_0011_4*c_1001_0^2 - c_0011_4*c_0101_0 - c_0011_3*c_0110_9 - 2*c_0011_3*c_1001_0 - c_0110_9*c_1001_0 - c_1001_0^2 - c_0101_0, c_0101_2*c_1001_0^2 - 1/2*c_0011_4^2 - 1/2*c_0011_4*c_0101_0 - 1/2*c_0011_12*c_0101_11 - c_0101_2^2 + c_0011_12*c_0101_7 - 1/2*c_0101_11*c_0101_7 - 1/2*c_0101_7^2 - c_0011_4*c_0110_9 + 1/2*c_0011_12*c_1001_0 - 1/2*c_0011_4*c_1001_0 + c_0101_10*c_1001_0 + 1/2*c_0101_11*c_1001_0 - c_0101_2*c_1001_0 + 3/2*c_1001_0^2 - 1/2*c_0011_12 + 2*c_0011_3 + 1/2*c_0011_4 - 2*c_0101_0 - 1/2*c_0101_10 - c_0101_11 - c_0101_2 + 2*c_0101_7 + 2*c_1001_0 + 1/2, c_1001_0^3 - c_0011_4^2 - c_0011_4*c_0101_0 - 3/2*c_0011_12*c_0101_11 + c_0011_3*c_0101_11 - 1/2*c_0011_4*c_0101_11 + c_0101_0*c_0101_11 - 2*c_0101_2^2 + 2*c_0011_12*c_0101_7 - c_0101_11*c_0101_7 - c_0101_7^2 - 2*c_0011_4*c_0110_9 - 1/2*c_0101_0*c_0110_9 + c_0011_12*c_1001_0 + 1/2*c_0011_3*c_1001_0 - c_0011_4*c_1001_0 + 5/2*c_0101_10*c_1001_0 + 2*c_0101_11*c_1001_0 - 4*c_0101_2*c_1001_0 + 9/2*c_1001_0^2 - c_0011_12 + 3*c_0011_3 + 3/2*c_0011_4 - 9/2*c_0101_0 - 1/2*c_0101_10 - 7/2*c_0101_11 - 2*c_0101_2 + 4*c_0101_7 + 2*c_0110_9 + 4*c_1001_0 + 1, c_0011_12^2 + c_0101_7^2 + c_0011_4*c_0110_9 + c_0011_12*c_1001_0 + c_0011_4*c_1001_0 - c_0101_10*c_1001_0 - c_1001_0^2 + c_0011_12 - 2*c_0011_3 + c_0011_4 + 2*c_0101_0 - 2*c_0101_7 + c_0110_9 - 1, c_0011_12*c_0011_3 + 1/2*c_0011_4^2 - 1/2*c_0011_4*c_0101_0 + c_0101_2^2 + 1/2*c_0101_11*c_0101_7 - 1/2*c_0101_7^2 - 1/2*c_0011_4*c_0110_9 + 1/2*c_0011_12*c_1001_0 + 1/2*c_0011_3*c_1001_0 - 1/2*c_0011_4*c_1001_0 + 1/2*c_0101_10*c_1001_0 - 1/2*c_0101_11*c_1001_0 - c_0101_2*c_1001_0 + c_1001_0^2 - 1/2*c_0011_12 + c_0011_3 - c_0011_4 + 1/2*c_0101_0 + c_0101_7 - 1/2*c_0110_9 - 1/2, c_0011_3^2 + c_0011_4*c_0101_0 + 2*c_0011_3*c_1001_0 + c_1001_0^2 + c_0101_0, c_0011_12*c_0011_4 + 1/2*c_0011_4^2 + 1/2*c_0011_4*c_0101_0 - c_0101_2^2 + 1/2*c_0101_11*c_0101_7 + 1/2*c_0101_7^2 + 1/2*c_0011_4*c_0110_9 - 1/2*c_0011_12*c_1001_0 + 1/2*c_0011_3*c_1001_0 + 1/2*c_0011_4*c_1001_0 - 1/2*c_0101_10*c_1001_0 - 1/2*c_0101_11*c_1001_0 + c_0101_2*c_1001_0 + 1/2*c_0011_12 - c_0011_3 + 2*c_0011_4 + 1/2*c_0101_0 + c_0101_10 + 1/2*c_0110_9 + 1/2, c_0011_3*c_0011_4 - 1/2*c_0011_4^2 + 3/2*c_0011_4*c_0101_0 - c_0101_2^2 - 1/2*c_0101_11*c_0101_7 + 1/2*c_0101_7^2 - 1/2*c_0011_4*c_0110_9 - 1/2*c_0011_12*c_1001_0 - 1/2*c_0011_3*c_1001_0 + 3/2*c_0011_4*c_1001_0 + 1/2*c_0101_10*c_1001_0 + 1/2*c_0101_11*c_1001_0 + c_0101_2*c_1001_0 - c_1001_0^2 + 1/2*c_0011_12 + 1/2*c_0101_0 + c_0101_10 + c_0101_11 + 1/2*c_0110_9 + c_1001_0 - 1/2, c_0011_12*c_0101_0 + c_0011_4*c_0101_0 + c_0101_7^2 + c_0011_4*c_0110_9 + c_0011_4*c_1001_0 - c_0101_10*c_1001_0 - c_1001_0^2 - c_0011_3 + c_0011_4 + 2*c_0101_0 + c_0101_10 - c_0101_7 + c_0110_9 + c_1001_0 - 1, c_0011_3*c_0101_0 + c_0011_4*c_1001_0 - c_0110_9, c_0101_0^2 - c_0011_3*c_1001_0 - c_1001_0^2 - c_0101_0, c_0011_12*c_0101_10 + c_0011_12*c_0101_11 + c_0101_11, c_0011_3*c_0101_10 - c_0101_0*c_0101_11 + c_0011_4*c_0110_9 - c_0101_0*c_0110_9 + c_0101_10*c_1001_0 + c_0110_9, c_0011_4*c_0101_10 + c_0011_3*c_0101_11 - c_0011_3*c_1001_0 - c_0110_9*c_1001_0 - c_1001_0^2 - c_0011_4 - c_0101_0, c_0101_0*c_0101_10 - c_0011_3*c_0110_9 - c_0011_3*c_1001_0 - c_0101_11*c_1001_0 - 2*c_0110_9*c_1001_0 - c_1001_0^2 - c_0011_4 - c_0101_0 - c_0101_10, c_0101_10^2 + 2*c_0101_10*c_0101_11 + c_0101_11^2 - c_0101_11*c_0110_9, c_0011_12*c_0101_2 - c_0011_4*c_0110_9 - c_0011_12*c_1001_0 - c_0011_4*c_1001_0 + c_0101_10*c_1001_0 + 2*c_0011_3 - c_0011_4 - c_0101_2 + c_0101_7 - c_0110_9 + c_1001_0 - 1, c_0011_3*c_0101_2 + c_0101_2*c_1001_0 + c_0101_0, c_0011_4*c_0101_2 - c_0011_3 + c_0101_2 - c_1001_0, c_0101_0*c_0101_2 - c_0101_2 + c_1001_0, c_0101_10*c_0101_2 + c_0011_4*c_0110_9 - c_0101_10*c_1001_0 + c_0110_9, c_0101_11*c_0101_2 + c_0011_3*c_1001_0 - 2*c_0101_2*c_1001_0 + 2*c_1001_0^2 + c_0011_4 + c_0101_10, c_0011_3*c_0101_7 - c_0011_3*c_1001_0 - c_0011_4 - c_0101_0, c_0011_4*c_0101_7 + c_0011_4*c_0110_9 - c_0101_10*c_1001_0 - c_0011_3 + c_0110_9, c_0101_0*c_0101_7 + c_0110_9 + c_1001_0, c_0101_10*c_0101_7 - c_0011_4*c_0110_9 + c_0101_11, c_0101_2*c_0101_7 - c_0101_2*c_1001_0 - 1, c_0011_12*c_0110_9 + c_0101_10 + c_0101_11, c_0101_2*c_0110_9 + 2*c_0101_2*c_1001_0 - c_1001_0^2 + c_0101_0, c_0101_7*c_0110_9 - c_0011_3*c_1001_0 - c_0110_9*c_1001_0 - c_1001_0^2 - c_0011_4 - c_0101_0, c_0101_0*c_1001_0 - c_0011_3 + c_0110_9, c_0101_7*c_1001_0 - c_1001_0^2 + c_0101_0 - 1, c_0011_0 - 1, c_0011_10 + 1, c_0101_1 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0110_9" ] ] 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: 0.020 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: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.010 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: 0.020 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: 0.010 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: 0.240 ==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_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 120251135298935531702/98880043331505952511*c_1001_0^15 - 240288181689713314042/98880043331505952511*c_1001_0^14 - 2023122258812278345284/98880043331505952511*c_1001_0^13 - 4056529641710635797730/98880043331505952511*c_1001_0^12 - 14032905979416260049001/98880043331505952511*c_1001_0^11 - 28705104268080882918623/98880043331505952511*c_1001_0^10 - 59240760433041555773734/98880043331505952511*c_1001_0^9 - 107274904634673159253939/98880043331505952511*c_1001_0^8 - 159879401558933278356111/98880043331505952511*c_1001_0^7 - 186527647513703196589509/98880043331505952511*c_1001_0^6 - 215420675587853121944340/98880043331505952511*c_1001_0^5 - 244030199398563182668175/98880043331505952511*c_1001_0^4 - 209358363683841571881241/98880043331505952511*c_1001_0^3 - 113311490566865715370203/98880043331505952511*c_1001_0^2 - 33910621534495477402717/98880043331505952511*c_1001_0 - 4449181623384493798027/98880043331505952511, c_0011_3 - 482429259485988870/98880043331505952511*c_1001_0^15 - 300655326031238850/98880043331505952511*c_1001_0^14 - 7141841203289779554/98880043331505952511*c_1001_0^13 - 5568689944662828016/98880043331505952511*c_1001_0^12 - 39610928328034386363/98880043331505952511*c_1001_0^11 - 45810014983992696755/98880043331505952511*c_1001_0^10 - 115850768354423190345/98880043331505952511*c_1001_0^9 - 164769661422686994238/98880043331505952511*c_1001_0^8 - 185557525835161718462/98880043331505952511*c_1001_0^7 - 99833528565962528261/98880043331505952511*c_1001_0^6 - 165666265158905297826/98880043331505952511*c_1001_0^5 - 127820098776726827783/98880043331505952511*c_1001_0^4 + 28130637334928950676/98880043331505952511*c_1001_0^3 + 356092847109199570547/98880043331505952511*c_1001_0^2 + 140959567479579530171/98880043331505952511*c_1001_0 - 57630313961629784272/98880043331505952511, c_0011_4 - 14953680065948788388/98880043331505952511*c_1001_0^15 - 24813903918725702600/98880043331505952511*c_1001_0^14 - 244287773581927529786/98880043331505952511*c_1001_0^13 - 422623780145294489176/98880043331505952511*c_1001_0^12 - 1618671639871212988188/98880043331505952511*c_1001_0^11 - 3038714455776148509366/98880043331505952511*c_1001_0^10 - 6434744888927788299217/98880043331505952511*c_1001_0^9 - 11299051111451163550046/98880043331505952511*c_1001_0^8 - 16370308347815186902337/98880043331505952511*c_1001_0^7 - 18153494809027015957881/98880043331505952511*c_1001_0^6 - 21295897477483800504752/98880043331505952511*c_1001_0^5 - 23623544653769162199183/98880043331505952511*c_1001_0^4 - 18877643982835078803114/98880043331505952511*c_1001_0^3 - 8342511902806050021370/98880043331505952511*c_1001_0^2 - 1613243574949424753372/98880043331505952511*c_1001_0 + 39259547366852527870/98880043331505952511, c_0101_0 - 4342076775776438762/98880043331505952511*c_1001_0^15 - 9166582811038866394/98880043331505952511*c_1001_0^14 - 74115960514230697804/98880043331505952511*c_1001_0^13 - 154772451579688697462/98880043331505952511*c_1001_0^12 - 524446864649947260075/98880043331505952511*c_1001_0^11 - 1094735584841709005529/98880043331505952511*c_1001_0^10 - 2262440209017864684756/98880043331505952511*c_1001_0^9 - 4123587632396076167671/98880043331505952511*c_1001_0^8 - 6228479878794483725371/98880043331505952511*c_1001_0^7 - 7415115357502932257192/98880043331505952511*c_1001_0^6 - 8571225318105794552923/98880043331505952511*c_1001_0^5 - 9705208941539741257940/98880043331505952511*c_1001_0^4 - 8573159427661900219873/98880043331505952511*c_1001_0^3 - 5026046729668845768292/98880043331505952511*c_1001_0^2 - 1556591972620321704114/98880043331505952511*c_1001_0 - 275879802994958590981/98880043331505952511, c_0101_1 - 1, c_0101_10 + 28581830871921789410/98880043331505952511*c_1001_0^15 + 72701296585749417076/98880043331505952511*c_1001_0^14 + 502945867811383493528/98880043331505952511*c_1001_0^13 + 1212625143649118186494/98880043331505952511*c_1001_0^12 + 3714898045494829437635/98880043331505952511*c_1001_0^11 + 8405499840005304991348/98880043331505952511*c_1001_0^10 + 16850390589170507222960/98880043331505952511*c_1001_0^9 + 31463270579327134144115/98880043331505952511*c_1001_0^8 + 48226436039920240311885/98880043331505952511*c_1001_0^7 + 58700307852520673600197/98880043331505952511*c_1001_0^6 + 66296761979703725137408/98880043331505952511*c_1001_0^5 + 76094049858355095655672/98880043331505952511*c_1001_0^4 + 69856823168240823304241/98880043331505952511*c_1001_0^3 + 41207096500808679910626/98880043331505952511*c_1001_0^2 + 13234642881007124170267/98880043331505952511*c_1001_0 + 1804160233250985522450/98880043331505952511, c_0101_11 + 91669304427013742292/98880043331505952511*c_1001_0^15 + 167586885103963896966/98880043331505952511*c_1001_0^14 + 1520176391000894851756/98880043331505952511*c_1001_0^13 + 2843904498061517611236/98880043331505952511*c_1001_0^12 + 10318007933921430611366/98880043331505952511*c_1001_0^11 + 20299604428075577927275/98880043331505952511*c_1001_0^10 + 42390369843871048550774/98880043331505952511*c_1001_0^9 + 75811634055346025109824/98880043331505952511*c_1001_0^8 + 111652965519013038044226/98880043331505952511*c_1001_0^7 + 127827339661182522989312/98880043331505952511*c_1001_0^6 + 149123913608149396806932/98880043331505952511*c_1001_0^5 + 167936149540208087012503/98880043331505952511*c_1001_0^4 + 139501540515600748577000/98880043331505952511*c_1001_0^3 + 72104394066057035459577/98880043331505952511*c_1001_0^2 + 20675978653488353232450/98880043331505952511*c_1001_0 + 2645021390133508275577/98880043331505952511, c_0101_2 - 67296965356025650730/98880043331505952511*c_1001_0^15 - 98774409646150256714/98880043331505952511*c_1001_0^14 - 1090077914823841500856/98880043331505952511*c_1001_0^13 - 1705999884435836025490/98880043331505952511*c_1001_0^12 - 7111601192037302900759/98880043331505952511*c_1001_0^11 - 12535138553170608046973/98880043331505952511*c_1001_0^10 - 27540163745244936171414/98880043331505952511*c_1001_0^9 - 47213797046480275195705/98880043331505952511*c_1001_0^8 - 68311519780251645562757/98880043331505952511*c_1001_0^7 - 74779447488259643821386/98880043331505952511*c_1001_0^6 - 90199097986724756534941/98880043331505952511*c_1001_0^5 - 98466271234773079109878/98880043331505952511*c_1001_0^4 - 76806857529313480485941/98880043331505952511*c_1001_0^3 - 35643659195926167096813/98880043331505952511*c_1001_0^2 - 9358900298197545690268/98880043331505952511*c_1001_0 - 1002762538769528772889/98880043331505952511, c_0101_7 - 18631553648784488260/98880043331505952511*c_1001_0^15 - 32921030521792537758/98880043331505952511*c_1001_0^14 - 307569829218297434026/98880043331505952511*c_1001_0^13 - 559356863544441903036/98880043331505952511*c_1001_0^12 - 2071698209450057649608/98880043331505952511*c_1001_0^11 - 4003020672004683387105/98880043331505952511*c_1001_0^10 - 8416672552862772251201/98880043331505952511*c_1001_0^9 - 14934483808810217979224/98880043331505952511*c_1001_0^8 - 21895377038131461687419/98880043331505952511*c_1001_0^7 - 24793056946431689227529/98880043331505952511*c_1001_0^6 - 28935045811275604338068/98880043331505952511*c_1001_0^5 - 32362298048273726154297/98880043331505952511*c_1001_0^4 - 26533162905346088407760/98880043331505952511*c_1001_0^3 - 13113969019523244114767/98880043331505952511*c_1001_0^2 - 3280032695952227262749/98880043331505952511*c_1001_0 - 232037177662989168846/98880043331505952511, c_0110_9 - 1, c_1001_0^16 + 2*c_1001_0^15 + 17*c_1001_0^14 + 34*c_1001_0^13 + 239/2*c_1001_0^12 + 243*c_1001_0^11 + 1021/2*c_1001_0^10 + 923*c_1001_0^9 + 2793/2*c_1001_0^8 + 1665*c_1001_0^7 + 1951*c_1001_0^6 + 2197*c_1001_0^5 + 1945*c_1001_0^4 + 1164*c_1001_0^3 + 881/2*c_1001_0^2 + 96*c_1001_0 + 19/2 ] ==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: 11.330 seconds, Total memory usage: 32.09MB