Magma V2.22-2 Sun Aug 9 2020 22:20:03 on zickert [Seed = 2815080339] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L14n31288__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31288 degenerate_solution 3.66386281 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 1 -1 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 -11 10 1 10 0 -10 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 0.666666666470 0.000000000412 0 5 6 4 0132 0132 0132 3201 0 1 1 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 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -21312981.192688744515 56115581.462835118175 6 0 5 4 0213 0132 3120 2310 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 0 0 0 0 0 0 0 0 0 11 0 -11 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 -0.000000001546 0.000000006756 7 7 7 0 0132 0132 1023 0132 1 1 1 1 0 -1 0 1 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 10 0 -10 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.250000008305 -0.000000031228 2 1 0 8 3201 2310 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 11 -10 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666666666470 0.000000000412 6 1 2 9 2031 0132 3120 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 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 1.249999998843 0.250000002297 2 9 5 1 0213 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.249999998843 0.250000002297 3 3 3 8 0132 0132 1023 2310 1 1 1 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 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.444444443383 0.000000004073 7 8 4 8 3201 1302 0132 2031 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 -1 1 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 0.750000000298 0.000000001157 10 6 5 11 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 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 0.984615384509 0.123076922973 9 12 12 11 0132 0132 0321 2031 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 -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 1.000000002889 0.499999999232 12 10 9 12 0321 1302 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000002889 0.499999999232 11 10 10 11 0321 0132 0321 1023 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 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 1.000000002889 0.499999999232 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0101_6' : - d['c_0011_0'], 'c_1001_3' : d['c_0101_0'], 'c_1010_7' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_1010_4' : - d['c_0101_0'], 'c_0101_7' : d['c_0101_0'], 'c_1001_8' : - d['c_0101_0'], 'c_0110_8' : - 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_0101_3' : d['c_0101_3'], 'c_0110_7' : d['c_0101_3'], 'c_1001_0' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_0110_4' : - d['c_0101_3'], 'c_1001_7' : d['c_0101_3'], 'c_0101_8' : - d['c_0101_3'], 'c_1010_1' : - d['c_1001_2'], 'c_1001_5' : - d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1100_0' : - d['c_0011_8'], 'c_1100_3' : - d['c_0011_8'], 'c_1100_4' : - d['c_0011_8'], 'c_1100_7' : d['c_0011_8'], 'c_1100_8' : - d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_1010_8' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1001_9' : d['c_1001_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_5' : - d['c_0011_4'], 'c_1100_1' : - d['c_0011_4'], 'c_1100_6' : - d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0110_11' : d['c_0011_10'], 'c_0101_2' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], 'c_1100_5' : - d['c_0011_10'], 'c_1100_9' : - d['c_0011_10'], 'c_0011_9' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_11' : - d['c_0011_10'], 'c_0011_12' : - d['c_0011_10'], 'c_1001_10' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1100_12' : d['c_0011_10'], 'c_0011_3' : d['c_0011_3'], 'c_0011_7' : - d['c_0011_3'], 'c_0110_5' : d['c_0101_9'], 'c_1001_6' : d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 'c_1010_9' : d['c_0101_9'], 'c_0110_10' : d['c_0101_9'], 'c_1001_11' : d['c_0101_9'], 'c_0110_9' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_11' : d['c_0101_10'], 'c_0101_12' : - d['c_0101_10'], 'c_1100_10' : d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_11' : - d['c_0011_11'], 'c_0110_12' : - d['c_0011_11'], 's_3_11' : d['1'], 's_0_11' : - d['1'], 's_3_10' : d['1'], 's_2_10' : d['1'], 's_1_10' : - d['1'], 's_3_9' : - d['1'], 's_0_9' : - d['1'], 's_1_8' : d['1'], 's_3_7' : d['1'], 's_1_6' : d['1'], 's_3_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_2_3' : - d['1'], 's_1_3' : d['1'], 's_0_3' : - d['1'], 's_3_2' : d['1'], 's_2_2' : d['1'], 's_0_2' : d['1'], 's_3_1' : - d['1'], 's_2_1' : d['1'], 's_1_1' : d['1'], 's_3_0' : - d['1'], 's_2_0' : d['1'], 's_1_0' : d['1'], 's_0_0' : - d['1'], 's_0_1' : - d['1'], 's_1_2' : d['1'], 's_3_3' : d['1'], 's_2_4' : - d['1'], 's_1_5' : d['1'], 's_3_6' : d['1'], 's_1_4' : - d['1'], 's_0_6' : d['1'], 's_2_5' : d['1'], 's_0_4' : d['1'], 's_0_7' : - d['1'], 's_1_7' : d['1'], 's_2_7' : - d['1'], 's_2_8' : d['1'], 's_2_6' : d['1'], 's_2_9' : d['1'], 's_1_9' : d['1'], 's_0_8' : d['1'], 's_3_8' : d['1'], 's_0_10' : - d['1'], 's_2_11' : - d['1'], 's_1_12' : - d['1'], 's_2_12' : d['1'], 's_1_11' : d['1'], 's_0_12' : - d['1'], 's_3_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.110 Status: Saturating ideal ( 1 / 13 )... Time: 0.090 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.200 Status: Recomputing Groebner basis... Time: 0.390 Status: Saturating ideal ( 3 / 13 )... Time: 0.180 Status: Recomputing Groebner basis... Time: 0.130 Status: Saturating ideal ( 4 / 13 )... Time: 0.160 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.140 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.110 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.130 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.110 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.130 Status: Recomputing Groebner basis... Time: 0.050 Status: Saturating ideal ( 10 / 13 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 11 / 13 )... Time: 0.040 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: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 12 ] Status: Computing RadicalDecomposition Time: 0.170 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 2.510 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_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_4^3 + c_0011_4^2 - 2*c_0101_1*c_0101_10 - 4*c_0011_4*c_0101_9 - c_0011_3*c_1001_1 - 2*c_0101_1*c_1001_1 + 5*c_0011_10*c_1001_2 - 2*c_0011_11*c_1001_2 + 2*c_0011_3*c_1001_2 - 6*c_0011_8*c_1001_2 - 3*c_0101_10*c_1001_2 + 4*c_0101_3*c_1001_2 - 2*c_0101_9*c_1001_2 - 6*c_1001_2^2 - 2*c_0011_10 + 3*c_0011_11 - c_0011_3 + 3*c_0011_8 + c_0101_1 - 4*c_0101_10 - 2*c_0101_3 + 3*c_0101_9 + 4*c_1001_1 + c_1001_2 - 2, c_0011_3*c_0101_3^2 + 2*c_0011_3*c_0101_3 - 4*c_0011_8*c_0101_3 + 6*c_0101_3^2 - 2*c_0011_3 + 6*c_0011_8 - c_0101_3 - 3, c_0011_8*c_0101_3^2 - 1/2*c_0011_4^2 - 2*c_0011_8*c_0101_1 + c_0011_3*c_0101_3 - c_0011_8*c_0101_3 + 9/2*c_0101_3^2 - c_0011_3*c_1001_1 + 3*c_0101_1*c_1001_1 - 3*c_0011_10*c_1001_2 - 2*c_0011_3*c_1001_2 - 1/2*c_0011_4*c_1001_2 + 6*c_0011_8*c_1001_2 - 4*c_0101_3*c_1001_2 + 2*c_1001_2^2 + 7/2*c_0011_10 - 5/2*c_0011_11 - 1/2*c_0011_4 + 2*c_0011_8 + 3/2*c_0101_10 + c_0101_3 - 5/2*c_0101_9 - c_1001_1 - 1/2*c_1001_2 + 1/2, c_0101_3^3 - 1/2*c_0011_4^2 - 2*c_0011_8*c_0101_1 + c_0011_3*c_0101_3 - c_0011_8*c_0101_3 + 9/2*c_0101_3^2 - c_0011_3*c_1001_1 + 3*c_0101_1*c_1001_1 - 3*c_0011_10*c_1001_2 - 2*c_0011_3*c_1001_2 - 1/2*c_0011_4*c_1001_2 + 6*c_0011_8*c_1001_2 - 4*c_0101_3*c_1001_2 + 2*c_1001_2^2 + 7/2*c_0011_10 - 5/2*c_0011_11 + c_0011_3 - 1/2*c_0011_4 + c_0011_8 + 3/2*c_0101_10 + 2*c_0101_3 - 5/2*c_0101_9 - c_1001_1 - 1/2*c_1001_2 + 1/2, c_0011_4^2*c_0101_9 - 4*c_0101_1*c_0101_10 + 2*c_0011_11*c_0101_9 - 4*c_0011_4*c_0101_9 + 5*c_0011_10*c_1001_1 - 2*c_0011_11*c_1001_1 - c_0011_3*c_1001_1 + c_0101_10*c_1001_1 - 2*c_0101_9*c_1001_1 + 4*c_0011_10*c_1001_2 + 3*c_0011_3*c_1001_2 - 9*c_0011_8*c_1001_2 - 4*c_0101_10*c_1001_2 + 6*c_0101_3*c_1001_2 + c_0101_9*c_1001_2 - 4*c_1001_1*c_1001_2 - 3*c_1001_2^2 + 5*c_0011_11 - 3*c_0101_10 + 5*c_0101_9 + 4*c_1001_1 - 3, c_0101_1*c_0101_10*c_0101_9 + 92/7*c_0011_11*c_0101_9*c_1001_2 + 16/7*c_0101_10*c_0101_9*c_1001_2 + 6*c_0101_9^2*c_1001_2 + 220/7*c_0011_10*c_1001_1*c_1001_2 + 52/7*c_0011_11*c_1001_1*c_1001_2 + 87/7*c_0101_10*c_1001_1*c_1001_2 + 40/7*c_0101_9*c_1001_1*c_1001_2 - 43/7*c_1001_1^2*c_1001_2 + 41/7*c_0011_11*c_0101_9 + 5/7*c_0101_10*c_0101_9 + c_0101_9^2 + 95/7*c_0011_10*c_1001_1 + 18/7*c_0011_11*c_1001_1 + 32/7*c_0101_10*c_1001_1 + 9/7*c_0101_9*c_1001_1 - 13/7*c_1001_1^2, c_0011_11*c_0101_9^2 - 24/7*c_0011_11*c_0101_9*c_1001_1 - 13/7*c_0101_10*c_0101_9*c_1001_1 - c_0101_9^2*c_1001_1 - 65/7*c_0011_10*c_1001_1^2 - 30/7*c_0011_11*c_1001_1^2 - 23/7*c_0101_10*c_1001_1^2 - 15/7*c_0101_9*c_1001_1^2 + 10/7*c_1001_1^3, c_0011_4*c_0101_9^2 - 41/7*c_0011_11*c_0101_9*c_1001_2 + 2/7*c_0101_10*c_0101_9*c_1001_2 - 3*c_0101_9^2*c_1001_2 - 95/7*c_0011_10*c_1001_1*c_1001_2 - 18/7*c_0011_11*c_1001_1*c_1001_2 - 39/7*c_0101_10*c_1001_1*c_1001_2 - 16/7*c_0101_9*c_1001_1*c_1001_2 + 20/7*c_1001_1^2*c_1001_2 - 29/7*c_0011_11*c_0101_9 - 2/7*c_0101_10*c_0101_9 - 3*c_0101_9^2 - 59/7*c_0011_10*c_1001_1 - 10/7*c_0011_11*c_1001_1 - 31/7*c_0101_10*c_1001_1 - 5/7*c_0101_9*c_1001_1 + 8/7*c_1001_1^2, c_0101_1*c_0101_9^2 - 29/7*c_0011_11*c_0101_9*c_1001_2 - 2/7*c_0101_10*c_0101_9*c_1001_2 - 3*c_0101_9^2*c_1001_2 - 59/7*c_0011_10*c_1001_1*c_1001_2 - 10/7*c_0011_11*c_1001_1*c_1001_2 - 31/7*c_0101_10*c_1001_1*c_1001_2 - 5/7*c_0101_9*c_1001_1*c_1001_2 + 8/7*c_1001_1^2*c_1001_2 - 41/7*c_0011_11*c_0101_9 - 5/7*c_0101_10*c_0101_9 - 3*c_0101_9^2 - 95/7*c_0011_10*c_1001_1 - 18/7*c_0011_11*c_1001_1 - 39/7*c_0101_10*c_1001_1 - 9/7*c_0101_9*c_1001_1 + 20/7*c_1001_1^2, c_0101_10*c_0101_9^2 + 62/7*c_0011_11*c_0101_9*c_1001_1 + 5/7*c_0101_10*c_0101_9*c_1001_1 + 4*c_0101_9^2*c_1001_1 + 109/7*c_0011_10*c_1001_1^2 + 18/7*c_0011_11*c_1001_1^2 + 46/7*c_0101_10*c_1001_1^2 + 9/7*c_0101_9*c_1001_1^2 - 13/7*c_1001_1^3, c_0101_9^3 - 41/7*c_0011_11*c_0101_9*c_1001_1 + 2/7*c_0101_10*c_0101_9*c_1001_1 - 3*c_0101_9^2*c_1001_1 - 95/7*c_0011_10*c_1001_1^2 - 18/7*c_0011_11*c_1001_1^2 - 39/7*c_0101_10*c_1001_1^2 - 16/7*c_0101_9*c_1001_1^2 + 20/7*c_1001_1^3, c_0101_1*c_0101_10*c_1001_1 + c_0011_11*c_0101_9*c_1001_2 + 2*c_0101_9^2*c_1001_2 + c_0011_10*c_1001_1*c_1001_2 + 2*c_0101_10*c_1001_1*c_1001_2 + 5/2*c_0011_11*c_0101_9 + 3/2*c_0101_9^2 + 6*c_0011_10*c_1001_1 + 1/2*c_0011_11*c_1001_1 + 5/2*c_0101_10*c_1001_1 - 3/2*c_1001_1^2, c_0101_1*c_0101_9*c_1001_1 + 2*c_0011_11*c_0101_9*c_1001_2 + c_0101_10*c_0101_9*c_1001_2 + c_0101_9^2*c_1001_2 + 5*c_0011_10*c_1001_1*c_1001_2 + 2*c_0011_11*c_1001_1*c_1001_2 + 2*c_0101_10*c_1001_1*c_1001_2 + c_0101_9*c_1001_1*c_1001_2 - c_1001_1^2*c_1001_2 - c_0101_9^2 - c_0101_10*c_1001_1 + c_1001_1^2, c_0011_3*c_1001_1^2 - 3*c_0011_11*c_0101_9 - 2*c_0101_10*c_0101_9 - 4*c_0101_9^2 - 11*c_0011_10*c_1001_1 - 3*c_0011_11*c_1001_1 - 6*c_0101_10*c_1001_1 + 3*c_1001_1^2, c_0101_1*c_1001_1^2 - c_0011_10*c_1001_1*c_1001_2 + 5/2*c_0011_11*c_0101_9 + 1/2*c_0101_9^2 + 6*c_0011_10*c_1001_1 + 1/2*c_0011_11*c_1001_1 + 3/2*c_0101_10*c_1001_1 + c_0101_9*c_1001_1 - 1/2*c_1001_1^2, c_0011_4^2*c_1001_2 - 1/2*c_0011_4^2 - 2*c_0011_8*c_0101_1 - 3*c_0101_1*c_0101_10 - c_0011_3*c_0101_3 + 3*c_0011_8*c_0101_3 - 3/2*c_0101_3^2 - 4*c_0011_4*c_0101_9 - 2*c_0011_3*c_1001_1 + 6*c_0101_1*c_1001_1 + c_0011_10*c_1001_2 + 1/2*c_0011_4*c_1001_2 + 4*c_0011_8*c_1001_2 - c_0101_10*c_1001_2 - 4*c_0101_3*c_1001_2 + c_0101_9*c_1001_2 - 3*c_1001_1*c_1001_2 + 23/2*c_0011_10 - 3/2*c_0011_11 + 1/2*c_0011_4 - c_0011_8 - 4*c_0101_1 + 5/2*c_0101_10 + 2*c_0101_3 - 3/2*c_0101_9 - 1/2*c_1001_2 + 1/2, c_0011_3*c_0101_3*c_1001_2 + 1/2*c_0011_4^2 - c_0011_3*c_0101_3 + 3*c_0011_8*c_0101_3 - 5/2*c_0101_3^2 + c_0011_3*c_1001_1 - 3*c_0101_1*c_1001_1 + 3*c_0011_10*c_1001_2 + 4*c_0011_3*c_1001_2 + 1/2*c_0011_4*c_1001_2 - 10*c_0011_8*c_1001_2 + 10*c_0101_3*c_1001_2 - 2*c_1001_2^2 - 7/2*c_0011_10 + 5/2*c_0011_11 - c_0011_3 - 3/2*c_0011_4 + 2*c_0011_8 + 3*c_0101_1 - 3/2*c_0101_10 - 3*c_0101_3 + 5/2*c_0101_9 + c_1001_1 + 7/2*c_1001_2 - 5/2, c_0011_8*c_0101_3*c_1001_2 + 1/2*c_0011_4^2 - 1/2*c_0011_8*c_0101_1 - 1/2*c_0011_3*c_0101_3 + 5/2*c_0011_8*c_0101_3 - 2*c_0101_3^2 + 3/2*c_0011_3*c_1001_1 - 4*c_0101_1*c_1001_1 + 4*c_0011_10*c_1001_2 + 9/2*c_0011_3*c_1001_2 + c_0011_4*c_1001_2 - 23/2*c_0011_8*c_1001_2 + 23/2*c_0101_3*c_1001_2 - 3*c_1001_2^2 - 11/2*c_0011_10 + 7/2*c_0011_11 + 1/2*c_0011_4 - 1/2*c_0011_8 + 3/2*c_0101_1 - 5/2*c_0101_10 + 7/2*c_0101_9 + 2*c_1001_1 + 2*c_1001_2 - 5/2, c_0101_3^2*c_1001_2 + 1/2*c_0011_4^2 - 3/2*c_0011_8*c_0101_1 - 1/2*c_0011_3*c_0101_3 + 5/2*c_0011_8*c_0101_3 - 2*c_0101_3^2 + 3/2*c_0011_3*c_1001_1 - 4*c_0101_1*c_1001_1 + 4*c_0011_10*c_1001_2 + 9/2*c_0011_3*c_1001_2 + c_0011_4*c_1001_2 - 23/2*c_0011_8*c_1001_2 + 23/2*c_0101_3*c_1001_2 - 3*c_1001_2^2 - 11/2*c_0011_10 + 7/2*c_0011_11 + 3/2*c_0011_4 - 3/2*c_0011_8 + 3/2*c_0101_1 - 5/2*c_0101_10 + 7/2*c_0101_9 + 2*c_1001_1 + c_1001_2 - 5/2, c_0011_4*c_0101_9*c_1001_2 + 4*c_0101_1*c_0101_10 + 3*c_0011_11*c_0101_9 + 9*c_0011_4*c_0101_9 + 2*c_0101_9^2 + 10*c_0011_10*c_1001_1 + c_0011_3*c_1001_1 + 4*c_0101_1*c_1001_1 + 5*c_0101_10*c_1001_1 + c_0101_9*c_1001_1 - 3*c_1001_1^2 - 8*c_0011_10*c_1001_2 - 7*c_0011_3*c_1001_2 + 21*c_0011_8*c_1001_2 + 8*c_0101_10*c_1001_2 - 14*c_0101_3*c_1001_2 + 7*c_1001_2^2 + 5*c_0011_10 - 9*c_0011_11 + 7*c_0101_10 - 8*c_0101_9 - 7*c_1001_1 + 7, c_0011_3*c_1001_1*c_1001_2 - c_0101_1*c_0101_10 - 4*c_0011_4*c_0101_9 + 2*c_0101_1*c_0101_9 - c_0011_3*c_1001_1 - c_0101_1*c_1001_1 - c_0011_10*c_1001_2 + c_0011_11*c_1001_2 + 2*c_0011_3*c_1001_2 - 6*c_0011_8*c_1001_2 - 4*c_0101_10*c_1001_2 + 4*c_0101_3*c_1001_2 + 2*c_0101_9*c_1001_2 + c_1001_1*c_1001_2 - 2*c_1001_2^2 + c_0011_10 + 2*c_0011_11 - 2*c_0101_10 + c_0101_9 + 3*c_1001_1 - 2, c_0011_10*c_1001_2^2 + 5/2*c_0101_1*c_0101_10 + 9/2*c_0011_4*c_0101_9 + 1/2*c_0011_3*c_1001_1 + 3/2*c_0101_1*c_1001_1 - c_1001_1^2 - 5*c_0011_10*c_1001_2 - 1/2*c_0011_11*c_1001_2 - 7/2*c_0011_3*c_1001_2 + 21/2*c_0011_8*c_1001_2 + 7/2*c_0101_10*c_1001_2 - 7*c_0101_3*c_1001_2 + 1/2*c_1001_1*c_1001_2 + 7/2*c_1001_2^2 + 7/2*c_0011_10 - 9/2*c_0011_11 + 4*c_0101_10 - 9/2*c_0101_9 - 4*c_1001_1 + 7/2, c_0011_11*c_1001_2^2 - 3*c_0101_1*c_0101_10 - 4*c_0011_4*c_0101_9 - c_0101_10*c_0101_9 - c_0101_9^2 - 3*c_0011_11*c_1001_1 - c_0011_3*c_1001_1 + c_0101_1*c_1001_1 - c_0101_10*c_1001_1 - c_0101_9*c_1001_1 + c_1001_1^2 + 3*c_0011_10*c_1001_2 + 2*c_0011_3*c_1001_2 - 6*c_0011_8*c_1001_2 - 3*c_0101_10*c_1001_2 + 4*c_0101_3*c_1001_2 + c_0101_9*c_1001_2 - 2*c_1001_1*c_1001_2 - 2*c_1001_2^2 + c_0011_10 + 3*c_0011_11 - 2*c_0101_10 + 3*c_0101_9 + 3*c_1001_1 - 2, c_0011_3*c_1001_2^2 - 1/2*c_0011_4^2 + c_0011_8*c_0101_1 + c_0011_3*c_0101_3 - c_0011_8*c_0101_3 + 1/2*c_0101_3^2 - c_0011_3*c_1001_1 + 5*c_0101_1*c_1001_1 - 5*c_0011_10*c_1001_2 - 6*c_0011_3*c_1001_2 + 3/2*c_0011_4*c_1001_2 + 15*c_0011_8*c_1001_2 - 9*c_0101_3*c_1001_2 + 4*c_1001_2^2 + 1/2*c_0011_10 - 5/2*c_0011_11 + 2*c_0011_3 + 1/2*c_0011_4 - c_0011_8 - c_0101_1 + 3/2*c_0101_10 + 3*c_0101_3 - 1/2*c_0101_9 - 4*c_1001_1 + 7/2*c_1001_2 + 13/2, c_0011_4*c_1001_2^2 + c_0011_4^2 + 7/2*c_0011_8*c_0101_1 + 2*c_0101_1*c_0101_10 + 3/2*c_0011_3*c_0101_3 - 7/2*c_0011_8*c_0101_3 + 5/2*c_0101_3^2 + 5*c_0011_4*c_0101_9 + 3/2*c_0011_3*c_1001_1 + c_0101_1*c_1001_1 - 2*c_0011_10*c_1001_2 - 2*c_0011_11*c_1001_2 - 3/2*c_0011_3*c_1001_2 + 1/2*c_0011_4*c_1001_2 + 9/2*c_0011_8*c_1001_2 + 5*c_0101_10*c_1001_2 - 7/2*c_0101_3*c_1001_2 - 2*c_0101_9*c_1001_2 + 3*c_1001_2^2 + 2*c_0011_10 - 6*c_0011_11 + 2*c_0011_3 + c_0011_4 - 3/2*c_0011_8 - 7/2*c_0101_1 + 5*c_0101_10 + 4*c_0101_3 - 4*c_0101_9 - 6*c_1001_1 - 1/2*c_1001_2 + 2, c_0011_8*c_1001_2^2 - c_0011_8*c_0101_1 - 2*c_0011_3*c_1001_1 + 7*c_0101_1*c_1001_1 - 7*c_0011_10*c_1001_2 - 6*c_0011_3*c_1001_2 + 18*c_0011_8*c_1001_2 - 12*c_0101_3*c_1001_2 + 6*c_1001_2^2 + 5*c_0011_10 - 4*c_0011_11 + c_0011_4 + 3*c_0101_10 - 4*c_0101_9 - 4*c_1001_1 + c_1001_2 + 6, c_0101_10*c_1001_2^2 - 9/2*c_0101_1*c_0101_10 - 3*c_0011_11*c_0101_9 - 19/2*c_0011_4*c_0101_9 - 2*c_0101_9^2 - 11*c_0011_10*c_1001_1 - 1/2*c_0011_3*c_1001_1 - 11/2*c_0101_1*c_1001_1 - 5*c_0101_10*c_1001_1 - c_0101_9*c_1001_1 + 3*c_1001_1^2 + 10*c_0011_10*c_1001_2 + 1/2*c_0011_11*c_1001_2 + 17/2*c_0011_3*c_1001_2 - 51/2*c_0011_8*c_1001_2 - 17/2*c_0101_10*c_1001_2 + 17*c_0101_3*c_1001_2 - 1/2*c_1001_1*c_1001_2 - 17/2*c_1001_2^2 - 17/2*c_0011_10 + 23/2*c_0011_11 - 9*c_0101_10 + 21/2*c_0101_9 + 9*c_1001_1 - 17/2, c_0101_3*c_1001_2^2 - 3/2*c_0011_8*c_0101_1 - 1/2*c_0011_3*c_0101_3 + 1/2*c_0011_8*c_0101_3 - 1/2*c_0101_3^2 - 5/2*c_0011_3*c_1001_1 + 9*c_0101_1*c_1001_1 - 9*c_0011_10*c_1001_2 - 13/2*c_0011_3*c_1001_2 - 1/2*c_0011_4*c_1001_2 + 39/2*c_0011_8*c_1001_2 - 27/2*c_0101_3*c_1001_2 + 7*c_1001_2^2 + 7*c_0011_10 - 5*c_0011_11 - c_0011_3 + 1/2*c_0011_8 + 3/2*c_0101_1 + 4*c_0101_10 - 2*c_0101_3 - 6*c_0101_9 - 4*c_1001_1 - 1/2*c_1001_2 + 6, c_0101_9*c_1001_2^2 + 6*c_0101_1*c_0101_10 - 2*c_0011_11*c_0101_9 + 9*c_0011_4*c_0101_9 + c_0101_1*c_0101_9 + c_0101_9^2 - 3*c_0011_10*c_1001_1 - 2*c_0011_11*c_1001_1 + c_0011_3*c_1001_1 + 2*c_0101_1*c_1001_1 + c_0101_10*c_1001_1 - 2*c_0101_9*c_1001_1 - 11*c_0011_10*c_1001_2 - 2*c_0011_11*c_1001_2 - 7*c_0011_3*c_1001_2 + 21*c_0011_8*c_1001_2 + 6*c_0101_10*c_1001_2 - 14*c_0101_3*c_1001_2 - 3*c_0101_9*c_1001_2 + 3*c_1001_1*c_1001_2 + 7*c_1001_2^2 + 5*c_0011_10 - 9*c_0011_11 + 8*c_0101_10 - 9*c_0101_9 - 8*c_1001_1 + 7, c_1001_1*c_1001_2^2 + 1/2*c_0101_1*c_0101_10 - 5*c_0011_11*c_0101_9 - 1/2*c_0011_4*c_0101_9 - c_0101_10*c_0101_9 - 2*c_0101_9^2 - 11*c_0011_10*c_1001_1 - 4*c_0011_11*c_1001_1 + 1/2*c_0011_3*c_1001_1 - 5/2*c_0101_1*c_1001_1 - 3*c_0101_10*c_1001_1 - 3*c_0101_9*c_1001_1 + c_1001_1^2 + 2*c_0011_10*c_1001_2 + 1/2*c_0011_11*c_1001_2 + 3/2*c_0011_3*c_1001_2 - 9/2*c_0011_8*c_1001_2 - 1/2*c_0101_10*c_1001_2 + 3*c_0101_3*c_1001_2 - 1/2*c_1001_1*c_1001_2 - 3/2*c_1001_2^2 - 7/2*c_0011_10 + 5/2*c_0011_11 - 2*c_0101_10 + 3/2*c_0101_9 + 2*c_1001_1 - 3/2, c_1001_2^3 - 1/2*c_0011_4^2 + c_0011_8*c_0101_1 + 3*c_0101_1*c_0101_10 - 1/2*c_0101_3^2 + 5*c_0011_4*c_0101_9 + c_0101_1*c_0101_9 + 5*c_0101_1*c_1001_1 - 8*c_0011_10*c_1001_2 - 2*c_0011_11*c_1001_2 - 6*c_0011_3*c_1001_2 + 1/2*c_0011_4*c_1001_2 + 15*c_0011_8*c_1001_2 + 5*c_0101_10*c_1001_2 - 10*c_0101_3*c_1001_2 - 2*c_0101_9*c_1001_2 + 5*c_1001_2^2 + 11/2*c_0011_10 - 15/2*c_0011_11 - 5/2*c_0011_4 + 2*c_0101_1 + 13/2*c_0101_10 - c_0101_3 - 15/2*c_0101_9 - 5*c_1001_1 + 1/2*c_1001_2 + 11/2, c_0011_10^2 - c_0101_9^2 - c_0101_10*c_1001_1, c_0011_10*c_0011_11 - 4*c_0011_11*c_0101_9 - c_0101_10*c_0101_9 - 2*c_0101_9^2 - 10*c_0011_10*c_1001_1 - 3*c_0011_11*c_1001_1 - 4*c_0101_10*c_1001_1 - 2*c_0101_9*c_1001_1 + 2*c_1001_1^2, c_0011_11^2 + c_0011_11*c_0101_9 + c_0101_9^2 + c_0011_10*c_1001_1 + c_0101_10*c_1001_1, c_0011_10*c_0011_3 - 2*c_0101_1*c_1001_1 + 2*c_0011_10*c_1001_2 + c_0101_9 - 2*c_1001_1, c_0011_11*c_0011_3 - 2*c_0011_3*c_1001_1 + 4*c_0101_1*c_1001_1 - 4*c_0011_10*c_1001_2 - 2*c_0011_3*c_1001_2 + 6*c_0011_8*c_1001_2 - 4*c_0101_3*c_1001_2 + 2*c_1001_2^2 + 4*c_0011_10 - 6*c_0011_11 + c_0101_10 - 6*c_0101_9 - 3*c_1001_1 + 2, c_0011_3^2 + c_0011_4^2 + 4*c_0011_8*c_0101_1 + 5*c_0011_3*c_0101_3 - 7*c_0011_8*c_0101_3 + c_0101_3^2 + 2*c_0011_3*c_1001_1 - 6*c_0101_1*c_1001_1 + 6*c_0011_10*c_1001_2 + 4*c_0011_3*c_1001_2 + c_0011_4*c_1001_2 - 12*c_0011_8*c_1001_2 + 8*c_0101_3*c_1001_2 - 4*c_1001_2^2 - 7*c_0011_10 + 5*c_0011_11 + c_0011_4 + c_0011_8 - 3*c_0101_10 + c_0101_3 + 5*c_0101_9 + 2*c_1001_1 + c_1001_2 - 4, c_0011_10*c_0011_4 - c_0101_1*c_0101_9 - c_1001_1, c_0011_11*c_0011_4 + c_0101_1*c_0101_10 + 2*c_0011_4*c_0101_9 + c_0101_1*c_1001_1 - c_0011_3*c_1001_2 + 3*c_0011_8*c_1001_2 + 2*c_0101_10*c_1001_2 - 2*c_0101_3*c_1001_2 + c_1001_2^2 + c_0011_10 - 2*c_0011_11 + c_0101_10 - 2*c_0101_9 - c_1001_1 + 1, c_0011_3*c_0011_4 - c_0011_3*c_1001_1 + 2*c_0101_1*c_1001_1 - 2*c_0011_10*c_1001_2 - c_0011_4*c_1001_2 + 2*c_0011_8*c_1001_2 - 3*c_0101_3*c_1001_2 + 2*c_1001_2^2 + 4*c_0011_10 - 2*c_0011_11 - 2*c_0101_1 + 2*c_0101_10 - 2*c_0101_9 - 2*c_1001_1, c_0011_10*c_0011_8 - c_0101_1*c_1001_1 + c_0011_10*c_1001_2, c_0011_11*c_0011_8 - c_0011_3*c_1001_1 + 4*c_0101_1*c_1001_1 - 4*c_0011_10*c_1001_2 - 2*c_0011_3*c_1001_2 + 6*c_0011_8*c_1001_2 - 4*c_0101_3*c_1001_2 + 2*c_1001_2^2 + 4*c_0011_10 - 3*c_0011_11 + 2*c_0101_10 - 3*c_0101_9 - 2*c_1001_1 + 2, c_0011_3*c_0011_8 - c_0101_3^2 - 1, c_0011_4*c_0011_8 - c_0101_3*c_1001_2 - c_0101_1, c_0011_8^2 - c_0011_8*c_0101_3 - 1, c_0011_10*c_0101_1 - c_0011_4*c_0101_9 - c_0101_1*c_1001_1 + c_0011_10*c_1001_2 + c_0011_3*c_1001_2 - 3*c_0011_8*c_1001_2 - c_0101_10*c_1001_2 + 2*c_0101_3*c_1001_2 - c_1001_2^2 - c_0011_10 + c_0011_11 - c_0101_10 + c_0101_9 + c_1001_1 - 1, c_0011_11*c_0101_1 + 2*c_0101_1*c_0101_10 + 3*c_0011_4*c_0101_9 + c_0101_1*c_0101_9 + 2*c_0101_1*c_1001_1 - 5*c_0011_10*c_1001_2 - c_0011_11*c_1001_2 - 3*c_0011_3*c_1001_2 + 9*c_0011_8*c_1001_2 + 2*c_0101_10*c_1001_2 - 6*c_0101_3*c_1001_2 - c_0101_9*c_1001_2 + c_1001_1*c_1001_2 + 3*c_1001_2^2 + 3*c_0011_10 - 4*c_0011_11 + 3*c_0101_10 - 4*c_0101_9 - 3*c_1001_1 + 3, c_0011_3*c_0101_1 - 2*c_0011_8*c_0101_1 + c_0011_4 - 2*c_0011_8 + c_0101_3 - 2*c_1001_2, c_0011_4*c_0101_1 - 1/2*c_0011_8*c_0101_1 - 1/2*c_0011_3*c_0101_3 + 1/2*c_0011_8*c_0101_3 - 1/2*c_0101_3^2 - 1/2*c_0011_3*c_1001_1 + c_0101_1*c_1001_1 - c_0011_10*c_1001_2 - 1/2*c_0011_3*c_1001_2 - 1/2*c_0011_4*c_1001_2 + 3/2*c_0011_8*c_1001_2 - 3/2*c_0101_3*c_1001_2 + c_1001_2^2 + 2*c_0011_10 - c_0011_11 - c_0011_3 + 1/2*c_0011_8 + 3/2*c_0101_1 + c_0101_10 - 2*c_0101_3 - 2*c_0101_9 - c_1001_1 - 3/2*c_1001_2, c_0101_1^2 - c_0011_8*c_1001_2 + c_0101_3*c_1001_2 - c_0011_10 + c_0101_1, c_0011_10*c_0101_10 + c_0011_11*c_0101_9 + 2*c_0101_9^2 + c_0011_10*c_1001_1 + 2*c_0101_10*c_1001_1, c_0011_11*c_0101_10 + 6*c_0011_11*c_0101_9 + 2*c_0101_10*c_0101_9 + 3*c_0101_9^2 + 15*c_0011_10*c_1001_1 + 5*c_0011_11*c_1001_1 + 6*c_0101_10*c_1001_1 + 3*c_0101_9*c_1001_1 - 3*c_1001_1^2, c_0011_3*c_0101_10 + 3*c_0011_3*c_1001_2 - 9*c_0011_8*c_1001_2 + 6*c_0101_3*c_1001_2 - 3*c_1001_2^2 - 7*c_0011_10 - c_0011_11 - 5*c_0101_10 - 2*c_0101_9 + 7*c_1001_1 - 3, c_0011_4*c_0101_10 - 2*c_0101_1*c_0101_10 - 3*c_0011_4*c_0101_9 + c_0101_1*c_0101_9 - 2*c_0101_1*c_1001_1 + 5*c_0011_10*c_1001_2 + 2*c_0011_11*c_1001_2 + 3*c_0011_3*c_1001_2 - 9*c_0011_8*c_1001_2 - 2*c_0101_10*c_1001_2 + 6*c_0101_3*c_1001_2 + c_0101_9*c_1001_2 - c_1001_1*c_1001_2 - 3*c_1001_2^2 - 5*c_0011_10 + 4*c_0011_11 - 4*c_0101_10 + 4*c_0101_9 + 5*c_1001_1 - 3, c_0011_8*c_0101_10 + c_0011_3*c_1001_1 - 3*c_0101_1*c_1001_1 + 3*c_0011_10*c_1001_2 + 3*c_0011_3*c_1001_2 - 9*c_0011_8*c_1001_2 + 6*c_0101_3*c_1001_2 - 3*c_1001_2^2 - 5*c_0011_10 + 3*c_0011_11 - 3*c_0101_10 + 3*c_0101_9 + 3*c_1001_1 - 3, c_0101_10^2 - 3*c_0011_11*c_0101_9 - 3*c_0101_9^2 - 2*c_0011_10*c_1001_1 - 3*c_0101_10*c_1001_1, c_0011_10*c_0101_3 + c_1001_1, c_0011_11*c_0101_3 + 2*c_0101_1*c_1001_1 - 2*c_0011_10*c_1001_2 - c_0011_3*c_1001_2 + 3*c_0011_8*c_1001_2 - 2*c_0101_3*c_1001_2 + c_1001_2^2 + c_0011_10 + c_0101_10 - c_1001_1 + 1, c_0011_4*c_0101_3 - c_0011_3*c_1001_2 + 2*c_0011_8*c_1001_2 - 2*c_0101_3*c_1001_2 + 1, c_0101_1*c_0101_3 + c_0011_8 + c_1001_2, c_0101_10*c_0101_3 + c_0011_3*c_1001_1 - 4*c_0101_1*c_1001_1 + 4*c_0011_10*c_1001_2 + 2*c_0011_3*c_1001_2 - 6*c_0011_8*c_1001_2 + 4*c_0101_3*c_1001_2 - 2*c_1001_2^2 - 2*c_0011_10 + 3*c_0011_11 - c_0101_10 + 3*c_0101_9 - 2, c_0011_10*c_0101_9 + 2*c_0011_11*c_0101_9 + c_0101_10*c_0101_9 + c_0101_9^2 + 5*c_0011_10*c_1001_1 + 2*c_0011_11*c_1001_1 + 2*c_0101_10*c_1001_1 + c_0101_9*c_1001_1 - c_1001_1^2, c_0011_3*c_0101_9 + c_0011_3*c_1001_1 - 7*c_0011_10 + c_0011_11 - 3*c_0101_10 + c_0101_9 + 4*c_1001_1, c_0011_8*c_0101_9 - c_0011_3*c_1001_2 + 3*c_0011_8*c_1001_2 - 2*c_0101_3*c_1001_2 + c_1001_2^2 - c_0011_10 + 1, c_0101_3*c_0101_9 - c_0011_3*c_1001_1 + 2*c_0101_1*c_1001_1 - 2*c_0011_10*c_1001_2 - 2*c_0011_3*c_1001_2 + 6*c_0011_8*c_1001_2 - 4*c_0101_3*c_1001_2 + 2*c_1001_2^2 + 4*c_0011_10 - 2*c_0011_11 + 2*c_0101_10 - 2*c_0101_9 - 2*c_1001_1 + 2, c_0011_4*c_1001_1 - c_0101_9*c_1001_2 - c_0011_10, c_0011_8*c_1001_1 - c_0101_1*c_1001_1 + c_0011_10*c_1001_2 - 2*c_0011_10 + c_0011_11 - c_0101_10 + c_0101_9 + c_1001_1, c_0101_3*c_1001_1 - c_0011_3*c_1001_2 + 3*c_0011_8*c_1001_2 - 2*c_0101_3*c_1001_2 + c_1001_2^2 + 1, c_0101_1*c_1001_2 + c_0011_4 - c_1001_1, c_0011_0 - 1, c_0101_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_1" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.040 Status: Saturating ideal ( 1 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 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: 0.020 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: 0.020 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: 0.030 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: 0.030 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: 0.350 ==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_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 250120115202/17472748275619*c_1001_2^15 + 256965090684/17472748275619*c_1001_2^14 + 1574935160480/17472748275619*c_1001_2^13 - 3720526708365/17472748275619*c_1001_2^12 - 232430891951/17472748275619*c_1001_2^11 + 19933478651139/17472748275619*c_1001_2^10 - 3089858502084/2496106896517*c_1001_2^9 - 47148770162302/17472748275619*c_1001_2^8 + 8073271201599/2496106896517*c_1001_2^7 + 43346001394305/17472748275619*c_1001_2^6 - 24851976502664/17472748275619*c_1001_2^5 - 313288008119/2496106896517*c_1001_2^4 - 822363626769/17472748275619*c_1001_2^3 - 98246414994214/17472748275619*c_1001_2^2 - 20718631201106/17472748275619*c_1001_2 - 11622995633945/17472748275619, c_0011_11 + 9770590459829/17472748275619*c_1001_2^15 - 22603344215826/17472748275619*c_1001_2^14 - 22323479082769/17472748275619*c_1001_2^13 + 144115694817823/17472748275619*c_1001_2^12 - 182077481103269/17472748275619*c_1001_2^11 - 384111427451894/17472748275619*c_1001_2^10 + 1042444187390416/17472748275619*c_1001_2^9 + 259794255558952/17472748275619*c_1001_2^8 - 1218018483701094/17472748275619*c_1001_2^7 - 699170655773864/17472748275619*c_1001_2^6 + 653873471030196/17472748275619*c_1001_2^5 - 301528059848864/17472748275619*c_1001_2^4 + 150881300274258/2496106896517*c_1001_2^3 + 1193677361726363/17472748275619*c_1001_2^2 + 775572433089889/17472748275619*c_1001_2 + 128987132731320/17472748275619, c_0011_3 - 1086875701947/2496106896517*c_1001_2^15 + 14994660456628/17472748275619*c_1001_2^14 + 23748003286153/17472748275619*c_1001_2^13 - 107216240598798/17472748275619*c_1001_2^12 + 102862645192607/17472748275619*c_1001_2^11 + 50380398122250/2496106896517*c_1001_2^10 - 717397318723700/17472748275619*c_1001_2^9 - 69943627916984/2496106896517*c_1001_2^8 + 918131828787584/17472748275619*c_1001_2^7 + 867125091732659/17472748275619*c_1001_2^6 - 349811533578786/17472748275619*c_1001_2^5 + 31884951526192/17472748275619*c_1001_2^4 - 743604548031902/17472748275619*c_1001_2^3 - 1223339518090901/17472748275619*c_1001_2^2 - 877133320753947/17472748275619*c_1001_2 - 253713597962172/17472748275619, c_0011_4 - 96974723095/17472748275619*c_1001_2^15 + 51128759709/17472748275619*c_1001_2^14 + 775483990647/17472748275619*c_1001_2^13 - 1417615135239/17472748275619*c_1001_2^12 - 823315792788/17472748275619*c_1001_2^11 + 9107965644956/17472748275619*c_1001_2^10 - 7507535176525/17472748275619*c_1001_2^9 - 24341274418579/17472748275619*c_1001_2^8 + 23139751175867/17472748275619*c_1001_2^7 + 19695964707449/17472748275619*c_1001_2^6 - 999485673346/17472748275619*c_1001_2^5 - 2269757596714/17472748275619*c_1001_2^4 - 3020856456972/17472748275619*c_1001_2^3 - 42468293843770/17472748275619*c_1001_2^2 - 16410417194130/17472748275619*c_1001_2 - 19846922167057/17472748275619, c_0011_8 - 27473849781/4992213793034*c_1001_2^15 + 243823881716/17472748275619*c_1001_2^14 + 402288010107/34945496551238*c_1001_2^13 - 1794087280618/17472748275619*c_1001_2^12 + 2712700150610/17472748275619*c_1001_2^11 + 1144750607003/4992213793034*c_1001_2^10 - 15418672671005/17472748275619*c_1001_2^9 + 800556888445/2496106896517*c_1001_2^8 + 43040108883549/34945496551238*c_1001_2^7 - 23926911453761/17472748275619*c_1001_2^6 + 4084345561833/17472748275619*c_1001_2^5 + 40177642995237/34945496551238*c_1001_2^4 - 20526255760163/17472748275619*c_1001_2^3 - 21711199397793/34945496551238*c_1001_2^2 + 21811507681193/34945496551238*c_1001_2 - 6073507810073/17472748275619, c_0101_0 - 1, c_0101_1 - 1187086945719/34945496551238*c_1001_2^15 + 1284061668814/17472748275619*c_1001_2^14 + 3459003317739/34945496551238*c_1001_2^13 - 9085092610680/17472748275619*c_1001_2^12 + 9727223755272/17472748275619*c_1001_2^11 + 7866506306133/4992213793034*c_1001_2^10 - 64901052093749/17472748275619*c_1001_2^9 - 4015010456435/2496106896517*c_1001_2^8 + 26456792513549/4992213793034*c_1001_2^7 + 43337117784397/17472748275619*c_1001_2^6 - 45811877513267/17472748275619*c_1001_2^5 + 12682753858163/34945496551238*c_1001_2^4 - 55897502743517/17472748275619*c_1001_2^3 - 177956763672501/34945496551238*c_1001_2^2 - 58700932744459/34945496551238*c_1001_2 - 877747824933/2496106896517, c_0101_10 + 12580922182417/17472748275619*c_1001_2^15 - 27291755243867/17472748275619*c_1001_2^14 - 4799190483413/2496106896517*c_1001_2^13 + 183097932755895/17472748275619*c_1001_2^12 - 206429900749746/17472748275619*c_1001_2^11 - 538732306785074/17472748275619*c_1001_2^10 + 1285479783114103/17472748275619*c_1001_2^9 + 553030224795422/17472748275619*c_1001_2^8 - 1600420843470693/17472748275619*c_1001_2^7 - 1130616469396870/17472748275619*c_1001_2^6 + 116548957884907/2496106896517*c_1001_2^5 - 254356519373818/17472748275619*c_1001_2^4 + 1235116737540157/17472748275619*c_1001_2^3 + 256331076702624/2496106896517*c_1001_2^2 + 165671340460820/2496106896517*c_1001_2 + 218267099220397/17472748275619, c_0101_3 + 53904244599/2496106896517*c_1001_2^15 - 53990640443/2496106896517*c_1001_2^14 - 273394325319/2496106896517*c_1001_2^13 + 572163396294/2496106896517*c_1001_2^12 + 85037854634/2496106896517*c_1001_2^11 - 3187347321812/2496106896517*c_1001_2^10 + 2265738085929/2496106896517*c_1001_2^9 + 9169825191799/2496106896517*c_1001_2^8 - 2457746890520/2496106896517*c_1001_2^7 - 15773614776773/2496106896517*c_1001_2^6 - 2657894007214/2496106896517*c_1001_2^5 + 4918657893932/2496106896517*c_1001_2^4 + 5220490677698/2496106896517*c_1001_2^3 + 14981565601715/2496106896517*c_1001_2^2 + 14491742154320/2496106896517*c_1001_2 + 6247532648827/2496106896517, c_0101_9 + 2055981633278/17472748275619*c_1001_2^15 - 3958817874449/17472748275619*c_1001_2^14 - 6373781230809/17472748275619*c_1001_2^13 + 27984291696059/17472748275619*c_1001_2^12 - 26480831292766/17472748275619*c_1001_2^11 - 93110058398347/17472748275619*c_1001_2^10 + 182436760521949/17472748275619*c_1001_2^9 + 137480372334743/17472748275619*c_1001_2^8 - 213630392083247/17472748275619*c_1001_2^7 - 263643090162462/17472748275619*c_1001_2^6 + 66813155177376/17472748275619*c_1001_2^5 + 5348656129816/17472748275619*c_1001_2^4 + 201409458521363/17472748275619*c_1001_2^3 + 316478660327887/17472748275619*c_1001_2^2 + 304551898777082/17472748275619*c_1001_2 + 82435516071540/17472748275619, c_1001_1 - 1, c_1001_2^16 - 2*c_1001_2^15 - 3*c_1001_2^14 + 14*c_1001_2^13 - 14*c_1001_2^12 - 45*c_1001_2^11 + 94*c_1001_2^10 + 60*c_1001_2^9 - 115*c_1001_2^8 - 112*c_1001_2^7 + 44*c_1001_2^6 - 9*c_1001_2^5 + 98*c_1001_2^4 + 155*c_1001_2^3 + 121*c_1001_2^2 + 38*c_1001_2 + 4 ] ==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: 30.969 seconds, Total memory usage: 32.09MB