Magma V2.22-2 Sun Aug 9 2020 22:20:11 on zickert [Seed = 1712134043] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L14n57032__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57032 degenerate_solution 8.99735220 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 1 0 1 1 0 0 0 0 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999996854 1.000000000142 0 3 5 4 0132 3120 0132 3201 1 0 1 1 0 1 0 -1 1 0 0 -1 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 -2 0 2 0 0 0 0 1 0 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999998199 1.000000001132 5 0 6 3 1302 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999999961 0.500000000272 6 1 2 0 1302 3120 0132 0132 1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000001889 1.000000001068 7 1 0 6 0132 2310 0132 0132 1 0 0 1 0 0 0 0 0 0 -1 1 -1 1 0 0 0 1 -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 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7882871.333356707357 277080958.668467521667 7 2 8 1 3120 2031 0132 0132 1 0 1 0 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 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 0.000000000464 0.000000005081 8 3 4 2 1302 2031 0132 0132 1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000103 0.000000003606 4 8 9 5 0132 3201 0132 3120 0 0 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.249999998885 0.661437828998 10 6 7 5 0132 2031 2310 0132 1 0 0 0 0 0 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 -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 0.624999999804 0.330718914691 11 11 10 7 0132 1302 3120 0132 0 0 0 2 0 0 0 0 0 0 0 0 -2 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999999417 1.322875652893 8 12 9 12 0132 0132 3120 0213 2 0 0 0 0 -1 0 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 0 0 0 0 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000511 0.661437828408 9 12 12 9 0132 3201 2103 2031 0 0 2 0 0 1 0 -1 0 0 0 0 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 1 0 -1 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 0.250000001091 0.661437828563 11 10 11 10 2103 0132 2310 0213 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 -1 5 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 0.750000000511 0.661437828408 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_1001_0' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_3' : d['c_0011_0'], 'c_1001_1' : - d['c_0011_0'], 'c_1001_3' : d['c_0011_0'], 'c_1010_5' : - 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_1010_4' : - d['c_0101_0'], 'c_1001_6' : - 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_0110_5' : d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_1010_1' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_1010_0' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_4' : d['c_0011_3'], 'c_1010_6' : d['c_0011_3'], 'c_1100_2' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_1' : - d['c_0011_4'], 'c_1100_5' : - d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : - d['c_0011_4'], 'c_1100_8' : - d['c_0011_4'], 'c_0101_2' : - d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0110_6' : - d['c_0011_5'], 'c_1010_7' : - d['c_0011_5'], 'c_1001_8' : d['c_0011_5'], 'c_0110_2' : - d['c_0011_6'], 'c_1001_5' : d['c_0011_6'], 'c_0101_3' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1010_8' : d['c_0011_6'], 'c_0110_4' : d['c_0011_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_10'], 'c_0011_8' : - d['c_0011_10'], 'c_0110_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_11' : d['c_0011_10'], 'c_0011_12' : - d['c_0011_10'], 'c_1001_11' : - d['c_0011_10'], 'c_0101_12' : d['c_0011_10'], 'c_0101_5' : d['c_0101_10'], 'c_1100_7' : - d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_1100_9' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1001_7' : - d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_1010_9' : - d['c_0101_8'], 'c_0110_10' : d['c_0101_8'], 'c_1100_11' : d['c_0101_8'], 'c_0110_12' : - d['c_0101_8'], 'c_0011_9' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_11' : - d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_11'], 'c_1100_12' : d['c_0011_11'], 'c_1001_9' : d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 'c_0110_11' : d['c_0101_9'], 'c_1100_10' : - d['c_0101_9'], 'c_1001_10' : - d['c_0101_9'], 'c_1010_12' : - d['c_0101_9'], 's_2_11' : d['1'], 's_1_11' : d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_2_9' : d['1'], 's_1_9' : d['1'], 's_0_9' : d['1'], 's_0_8' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_0_6' : d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_0_4' : 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_3' : d['1'], 's_3_5' : d['1'], 's_1_4' : d['1'], 's_1_5' : d['1'], 's_3_6' : - d['1'], 's_2_3' : d['1'], 's_1_6' : - d['1'], 's_0_7' : d['1'], 's_2_6' : d['1'], 's_3_7' : d['1'], 's_3_8' : d['1'], 's_1_8' : d['1'], 's_2_8' : d['1'], 's_3_9' : d['1'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_11' : d['1'], 's_2_10' : d['1'], 's_1_12' : d['1'], 's_3_12' : d['1'], 's_2_12' : d['1'], 's_0_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.040 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: 0.040 Status: Saturating ideal ( 3 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.040 Status: Saturating ideal ( 8 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 12 / 13 )... Time: 0.020 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 [ 11 ] Status: Computing RadicalDecomposition Time: 0.090 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.830 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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_0101_9, c_1100_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_10^4 - 61/310*c_0101_10^3*c_0101_8 - 5197/310*c_0011_10*c_0101_10*c_0101_8^2 + 66/155*c_0101_10^2*c_0101_8^2 - 2426/155*c_0011_10*c_0101_8^3 - 255/62*c_0101_10*c_0101_8^3 - 278/31*c_0101_8^4, c_0011_6*c_0101_8^3 + 31/24*c_0101_10^3*c_1100_0 + 139/8*c_0011_10*c_0101_10*c_0101_8*c_1100_0 - 5/6*c_0101_10^2*c_0101_8*c_1100_0 + 95/6*c_0011_10*c_0101_8^2*c_1100_0 + 65/24*c_0101_10*c_0101_8^2*c_1100_0 + 55/6*c_0101_8^3*c_1100_0 - c_0101_8^3, c_0011_6*c_0101_8^2*c_1100_0 - 31/40*c_0101_10^3 - 177/40*c_0011_10*c_0101_10*c_0101_8 + 3/10*c_0101_10^2*c_0101_8 - 23/10*c_0011_10*c_0101_8^2 + 4/5*c_0011_6*c_0101_8^2 - 5/8*c_0101_10*c_0101_8^2 - 3/2*c_0101_8^3 + 16*c_0011_10*c_0101_10*c_1100_0 - 13/5*c_0101_10^2*c_1100_0 + 63/5*c_0011_10*c_0101_8*c_1100_0 - 5/3*c_0011_6*c_0101_8*c_1100_0 + 3*c_0101_10*c_0101_8*c_1100_0 + 10*c_0101_8^2*c_1100_0 - 10*c_0011_10*c_0101_10 + 1/3*c_0101_10^2 - 12*c_0011_10*c_0101_8 - 5/3*c_0011_5*c_0101_8 - 5/3*c_0101_10*c_0101_8 - 112/15*c_0101_8^2, c_0011_10*c_0101_10^2 - 1/30*c_0101_10^3 + 21/10*c_0011_10*c_0101_10*c_0101_8 + 1/15*c_0101_10^2*c_0101_8 + 14/15*c_0011_10*c_0101_8^2 + 5/6*c_0101_10*c_0101_8^2 + 2/3*c_0101_8^3, c_0011_6*c_0101_10^2 - 4/5*c_0011_6*c_0101_8^2 - 12*c_0011_10*c_0101_10*c_1100_0 + 3/5*c_0101_10^2*c_1100_0 - 68/5*c_0011_10*c_0101_8*c_1100_0 - 3*c_0101_10*c_0101_8*c_1100_0 - 8*c_0101_8^2*c_1100_0 - c_0101_10^2 + 4/5*c_0101_8^2, c_0011_6*c_0101_10*c_0101_8 + c_0011_10*c_0101_10*c_1100_0 + c_0101_10^2*c_1100_0 + 4*c_0011_10*c_0101_8*c_1100_0 - c_0101_10*c_0101_8, c_0011_5*c_0101_8^2 - 4/5*c_0011_6*c_0101_8^2 - 16*c_0011_10*c_0101_10*c_1100_0 + 13/5*c_0101_10^2*c_1100_0 - 63/5*c_0011_10*c_0101_8*c_1100_0 + 5/3*c_0011_6*c_0101_8*c_1100_0 - 3*c_0101_10*c_0101_8*c_1100_0 - 10*c_0101_8^2*c_1100_0 + 10*c_0011_10*c_0101_10 - 1/3*c_0101_10^2 + 12*c_0011_10*c_0101_8 + 5/3*c_0011_5*c_0101_8 + 5/3*c_0101_10*c_0101_8 + 112/15*c_0101_8^2, c_0101_1*c_0101_8^2 + 5/3*c_0011_6*c_0101_8*c_1100_0 - c_0101_8^2*c_1100_0 + 10*c_0011_10*c_0101_10 - 1/3*c_0101_10^2 + 12*c_0011_10*c_0101_8 + 5/3*c_0011_5*c_0101_8 + 5/3*c_0101_10*c_0101_8 + 20/3*c_0101_8^2, c_0101_10^2*c_0101_9 - 4/3*c_0011_6*c_0101_8*c_1100_0 + 8*c_0011_10*c_0101_10 - 4/3*c_0101_10^2 + 4*c_0011_10*c_0101_8 - 4/3*c_0011_5*c_0101_8 + 5/3*c_0101_10*c_0101_8 + 8/3*c_0101_8^2, c_0101_1*c_0101_9^2 + c_0101_10*c_0101_9 - c_0011_5*c_1100_0 + c_1100_0^2 + 3*c_0011_10 - 2*c_0011_4 + c_0011_6 - c_0101_10 + c_0101_8 - c_0101_9 - 1, c_0101_10*c_0101_9^2 - c_0101_1*c_0101_8 - 2*c_0101_10*c_0101_9 - 3*c_0011_6*c_1100_0 + c_0101_8*c_1100_0 - 8*c_0011_10 - 3*c_0011_5 + 2*c_0101_10 - 4*c_0101_8, c_0101_9^3 - c_0101_9^2 + c_0011_4 - c_0011_6 + c_0101_9 - 2, c_0011_6*c_0101_10*c_1100_0 - 6*c_0011_10*c_0101_10 - 2/3*c_0011_6*c_0101_10 - 8*c_0011_10*c_0101_8 + 1/3*c_0011_5*c_0101_8 + 4/3*c_0011_6*c_0101_8 - 1/3*c_0101_1*c_0101_8 - c_0101_10*c_0101_8 - 4*c_0101_8^2 - c_0101_10*c_0101_9 + 1/3*c_0011_10*c_1100_0 + c_0101_8*c_1100_0 - 4*c_0011_10 + 5/3*c_0101_10 - 4/3*c_0101_8, c_0011_5*c_0101_8*c_1100_0 - c_0011_10*c_0101_10 + 4/3*c_0011_6*c_0101_10 - c_0101_10^2 - 4*c_0011_10*c_0101_8 - 1/6*c_0011_5*c_0101_8 + 4/3*c_0011_6*c_0101_8 - 5/6*c_0101_1*c_0101_8 - c_0101_8^2 - 2*c_0101_10*c_0101_9 + 7/3*c_0011_10*c_1100_0 - 3*c_0011_6*c_1100_0 - 1/2*c_0101_10*c_1100_0 - 9*c_0011_10 - 3*c_0011_5 + 2/3*c_0101_10 - 10/3*c_0101_8, c_0101_10*c_0101_9*c_1100_0 + c_0011_6*c_0101_10 + 4*c_0011_10*c_1100_0 - c_0101_10*c_1100_0 - c_0101_10, c_0101_9^2*c_1100_0 + c_0101_10*c_0101_9 - c_0011_5*c_1100_0 + c_1100_0^2 + 3*c_0011_10 - c_0011_4 - c_0101_10 + c_0101_8 + 1, c_0011_10*c_1100_0^2 + c_0011_10*c_0101_10 - 1/3*c_0011_6*c_0101_10 + 2*c_0011_10*c_0101_8 + 1/6*c_0011_5*c_0101_8 - 1/3*c_0011_6*c_0101_8 - 1/6*c_0101_1*c_0101_8 + c_0101_8^2 - 4/3*c_0011_10*c_1100_0 - 1/2*c_0101_10*c_1100_0 + c_0011_10 + 1/3*c_0101_10 + 1/3*c_0101_8, c_0011_5*c_1100_0^2 + c_0011_6*c_0101_10 - 1/2*c_0101_1*c_0101_8 - 1/2*c_0101_1*c_0101_9 + c_0101_10*c_0101_9 + 1/2*c_0101_9^2 - c_0011_5*c_1100_0 + 1/2*c_0011_6*c_1100_0 - 1/2*c_0101_8*c_1100_0 + 1/2*c_0101_9*c_1100_0 - c_1100_0^2 + 7/2*c_0011_10 - c_0011_4 - 1/2*c_0011_5 - c_0011_6 - 3/2*c_0101_10 + 1/2*c_0101_8 - 1/2*c_0101_9 + 1, c_0011_6*c_1100_0^2 - 2/3*c_0011_6*c_0101_10 + 1/3*c_0011_5*c_0101_8 + 1/3*c_0011_6*c_0101_8 - 1/3*c_0101_1*c_0101_8 + 1/3*c_0011_10*c_1100_0 + c_0011_5*c_1100_0 + c_0101_8*c_1100_0 + 2/3*c_0101_10 - 1/3*c_0101_8, c_0101_10*c_1100_0^2 - c_0011_10*c_0101_10 - c_0011_6*c_0101_10 - 2*c_0011_10*c_1100_0 + 2*c_0101_8*c_1100_0 + 2*c_0101_10, c_0101_8*c_1100_0^2 + 1/3*c_0011_6*c_0101_10 - c_0011_10*c_0101_8 - 1/6*c_0011_5*c_0101_8 + 1/3*c_0011_6*c_0101_8 + 1/6*c_0101_1*c_0101_8 - 5/3*c_0011_10*c_1100_0 + 3/2*c_0101_10*c_1100_0 - c_0101_8*c_1100_0 - 1/3*c_0101_10 + 2/3*c_0101_8, c_0101_9*c_1100_0^2 - c_0101_10*c_0101_9 + c_0011_5*c_1100_0 - c_0101_9*c_1100_0 - c_1100_0^2 - 2*c_0011_10 + c_0011_4 + c_0101_10 + c_0101_9 + 2*c_1100_0 - 1, c_1100_0^3 - 1/2*c_0101_1*c_0101_8 - 1/2*c_0101_1*c_0101_9 + c_0101_10*c_0101_9 - 1/2*c_0101_9^2 - c_0011_10*c_1100_0 - c_0011_5*c_1100_0 - 1/2*c_0011_6*c_1100_0 + 1/2*c_0101_8*c_1100_0 - 1/2*c_0101_9*c_1100_0 - c_1100_0^2 + 7/2*c_0011_10 - c_0011_4 - 1/2*c_0011_5 - c_0011_6 - 3/2*c_0101_10 + 1/2*c_0101_8 - 1/2*c_0101_9 - c_1100_0 + 1, c_0011_10^2 + c_0011_10*c_0101_10 + 2*c_0011_10*c_0101_8 + c_0101_8^2, c_0011_10*c_0011_4 - 2/3*c_0011_6*c_0101_10 + 1/3*c_0011_5*c_0101_8 + 1/3*c_0011_6*c_0101_8 - 1/3*c_0101_1*c_0101_8 - c_0101_10*c_0101_9 + 1/3*c_0011_10*c_1100_0 + c_0101_8*c_1100_0 - 4*c_0011_10 + 5/3*c_0101_10 - 4/3*c_0101_8, c_0011_4^2 - 2*c_0101_10*c_0101_9 + c_0011_5*c_1100_0 - c_1100_0^2 - 6*c_0011_10 + c_0011_4 + 2*c_0101_10 - 2*c_0101_8 + c_0101_9, c_0011_10*c_0011_5 + c_0011_6*c_0101_10 - c_0011_6*c_1100_0 - c_0101_8*c_1100_0 - c_0011_5 - c_0101_10, c_0011_4*c_0011_5 - c_0011_6*c_1100_0 - c_0011_5 - c_0101_10 + c_1100_0, c_0011_5^2 - c_0101_10*c_0101_9 + c_0101_9*c_1100_0 + c_1100_0^2 - 4*c_0011_10 + c_0101_10 - 2*c_0101_8 - c_0101_9 - 2*c_1100_0, c_0011_10*c_0011_6 - 2/3*c_0011_6*c_0101_10 + 1/3*c_0011_5*c_0101_8 + 1/3*c_0011_6*c_0101_8 - 1/3*c_0101_1*c_0101_8 + 1/3*c_0011_10*c_1100_0 + c_0101_8*c_1100_0 - c_0011_10 + 2/3*c_0101_10 - 1/3*c_0101_8, c_0011_4*c_0011_6 - c_0101_10*c_0101_9 - 3*c_0011_10 + c_0101_10 - c_0101_8 - 1, c_0011_5*c_0011_6 - c_0101_9^2 - c_0011_6*c_1100_0 - c_0101_9*c_1100_0 - c_0011_5 - c_0101_10 - c_1100_0, c_0011_6^2 - c_0011_5*c_1100_0 + c_1100_0^2 - c_0011_6, c_0011_10*c_0101_1 - c_0011_10*c_1100_0 - c_0011_6*c_1100_0 - c_0011_5, c_0011_4*c_0101_1 + c_0101_9^2 - c_0011_6*c_1100_0 - 2*c_0011_5 + c_0101_1 + c_1100_0, c_0011_5*c_0101_1 - c_0101_10*c_0101_9 - c_1100_0^2 - 3*c_0011_10 + c_0101_10 - c_0101_8, c_0011_6*c_0101_1 - c_0011_6*c_1100_0 - c_0011_5 + c_1100_0, c_0101_1^2 - c_1100_0^2 - c_0011_4 - c_0011_6 + 2, c_0011_4*c_0101_10 - c_0011_6*c_0101_10 - c_0101_1*c_0101_8 + c_0011_6*c_1100_0 + c_0101_8*c_1100_0 + c_0011_5 + c_0101_10, c_0011_5*c_0101_10 + 2/3*c_0011_6*c_0101_10 - 1/3*c_0011_5*c_0101_8 - 4/3*c_0011_6*c_0101_8 + 1/3*c_0101_1*c_0101_8 + c_0101_10*c_0101_9 - 1/3*c_0011_10*c_1100_0 - c_0101_8*c_1100_0 + 4*c_0011_10 - 5/3*c_0101_10 + 4/3*c_0101_8, c_0101_1*c_0101_10 + c_0101_10*c_0101_9 - c_0101_10*c_1100_0 + 4*c_0011_10 - c_0101_10, c_0011_4*c_0101_8 - c_0011_6*c_0101_8 + c_0101_1*c_0101_8 + 2*c_0101_10*c_0101_9 + 3*c_0011_6*c_1100_0 - c_0101_8*c_1100_0 + 9*c_0011_10 + 3*c_0011_5 - 2*c_0101_10 + 3*c_0101_8, c_0011_10*c_0101_9 + c_0011_10 + c_0101_8, c_0011_4*c_0101_9 + c_0101_1*c_0101_9 - c_0101_10*c_0101_9 + c_0011_5*c_1100_0 + c_1100_0^2 - 5*c_0011_10 + c_0011_6 - 2*c_0101_1 + c_0101_10 - c_0101_8 - 1, c_0011_5*c_0101_9 - c_0101_1*c_0101_9 + c_0101_10*c_0101_9 - c_0011_5*c_1100_0 - c_1100_0^2 + 5*c_0011_10 - c_0011_4 - c_0011_5 - 2*c_0011_6 + c_0101_1 - c_0101_10 + c_0101_8 + 1, c_0011_6*c_0101_9 - c_0101_10*c_0101_9 + c_0011_5*c_1100_0 + c_0101_9*c_1100_0 + c_1100_0^2 - 5*c_0011_10 + c_0011_4 + c_0101_10 - c_0101_8 - c_0101_9 - 2*c_1100_0 + 1, c_0101_8*c_0101_9 - c_0011_10 - c_0101_10 - c_0101_8, c_0011_4*c_1100_0 - c_0011_6*c_1100_0 - c_0011_5 + c_0101_1, c_0101_1*c_1100_0 - c_1100_0^2 - c_0011_6 + 1, c_0011_0 - 1, c_0011_11 + 1, c_0011_3 + c_0101_1 - c_1100_0, c_0101_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_8" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.020 Status: Saturating ideal ( 1 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.010 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.010 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: 0.140 ==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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 111476921797760809/1035050895324887148*c_1100_0^11 - 255320836552176247/1035050895324887148*c_1100_0^10 + 230844706428850853/1035050895324887148*c_1100_0^9 + 11888674702729481/86254241277073929*c_1100_0^8 + 78844575972355205/172508482554147858*c_1100_0^7 - 174311254113512609/345016965108295716*c_1100_0^6 + 1442756529981517837/1035050895324887148*c_1100_0^5 + 13430321015876947/258762723831221787*c_1100_0^4 + 124835916332773160/258762723831221787*c_1100_0^3 - 2173539946507169/57502827518049286*c_1100_0^2 + 374238583581600665/258762723831221787*c_1100_0 - 16626754523547271/258762723831221787, c_0011_11 + 1, c_0011_3 - 173272612000387669/2070101790649774296*c_1100_0^11 + 586583920195623145/2070101790649774296*c_1100_0^10 - 737372938154046287/2070101790649774296*c_1100_0^9 + 7186058062598377/115005655036098572*c_1100_0^8 - 65435710971283015/115005655036098572*c_1100_0^7 + 1045538536576428097/690033930216591432*c_1100_0^6 - 3286137806924583163/2070101790649774296*c_1100_0^5 + 181137729715052497/1035050895324887148*c_1100_0^4 - 178964825886148978/258762723831221787*c_1100_0^3 + 188124153488872797/115005655036098572*c_1100_0^2 - 714118776783014347/258762723831221787*c_1100_0 + 117155722415775641/258762723831221787, c_0011_4 - 13827773050255895/57502827518049286*c_1100_0^11 + 46772049298749406/86254241277073929*c_1100_0^10 - 29916953286275726/86254241277073929*c_1100_0^9 - 109487664796866307/172508482554147858*c_1100_0^8 - 67170532458072826/86254241277073929*c_1100_0^7 + 162406676947118345/172508482554147858*c_1100_0^6 - 143693730115830535/86254241277073929*c_1100_0^5 - 262497602224337381/172508482554147858*c_1100_0^4 - 75918118730714569/86254241277073929*c_1100_0^3 - 7304275453580975/28751413759024643*c_1100_0^2 - 43876764787251961/28751413759024643*c_1100_0 - 109056350930918455/86254241277073929, c_0011_5 - 8271204845339449/690033930216591432*c_1100_0^11 + 144700625644506413/690033930216591432*c_1100_0^10 - 479791104395687803/690033930216591432*c_1100_0^9 + 303736721813110865/345016965108295716*c_1100_0^8 - 32682399907679375/345016965108295716*c_1100_0^7 + 128418643138108519/690033930216591432*c_1100_0^6 - 1115025516744017543/690033930216591432*c_1100_0^5 + 830326338243035561/345016965108295716*c_1100_0^4 - 35878920593022512/28751413759024643*c_1100_0^3 + 23465818047813251/115005655036098572*c_1100_0^2 - 6964954943259466/86254241277073929*c_1100_0 + 39510107369220523/28751413759024643, c_0011_6 - 33383042097230069/1035050895324887148*c_1100_0^11 + 13757086431067757/1035050895324887148*c_1100_0^10 + 13577624791628393/1035050895324887148*c_1100_0^9 + 13154818646888061/57502827518049286*c_1100_0^8 - 50331070660856573/57502827518049286*c_1100_0^7 + 4582468916322941/345016965108295716*c_1100_0^6 + 567847109254365169/1035050895324887148*c_1100_0^5 - 61278280486704469/517525447662443574*c_1100_0^4 - 374371753253080177/258762723831221787*c_1100_0^3 + 69883084747281193/57502827518049286*c_1100_0^2 + 123190158746052416/258762723831221787*c_1100_0 - 448803653121969553/258762723831221787, c_0101_0 - 1, c_0101_1 + 173272612000387669/2070101790649774296*c_1100_0^11 - 586583920195623145/2070101790649774296*c_1100_0^10 + 737372938154046287/2070101790649774296*c_1100_0^9 - 7186058062598377/115005655036098572*c_1100_0^8 + 65435710971283015/115005655036098572*c_1100_0^7 - 1045538536576428097/690033930216591432*c_1100_0^6 + 3286137806924583163/2070101790649774296*c_1100_0^5 - 181137729715052497/1035050895324887148*c_1100_0^4 + 178964825886148978/258762723831221787*c_1100_0^3 - 188124153488872797/115005655036098572*c_1100_0^2 + 455356052951792560/258762723831221787*c_1100_0 - 117155722415775641/258762723831221787, c_0101_10 + 6990126426798329/172508482554147858*c_1100_0^11 + 2511390996133097/172508482554147858*c_1100_0^10 - 32121707702829061/172508482554147858*c_1100_0^9 + 28134041958502937/86254241277073929*c_1100_0^8 + 15494452225715515/86254241277073929*c_1100_0^7 + 69176662703017111/172508482554147858*c_1100_0^6 - 23827218212677949/172508482554147858*c_1100_0^5 + 106107280896490547/86254241277073929*c_1100_0^4 - 10534749144062766/28751413759024643*c_1100_0^3 + 16231711279199157/28751413759024643*c_1100_0^2 + 50052744416181176/86254241277073929*c_1100_0 + 27430858782617048/28751413759024643, c_0101_8 - 1, c_0101_9 + 153417680358550783/1035050895324887148*c_1100_0^11 - 240252490575377665/1035050895324887148*c_1100_0^10 + 38114460211876487/1035050895324887148*c_1100_0^9 + 40022716661232418/86254241277073929*c_1100_0^8 + 109833480423786235/172508482554147858*c_1100_0^7 - 11985976235826129/115005655036098572*c_1100_0^6 + 1299793220705450143/1035050895324887148*c_1100_0^5 + 331752163705348588/258762723831221787*c_1100_0^4 + 30023174036208266/258762723831221787*c_1100_0^3 + 30289882611891145/57502827518049286*c_1100_0^2 + 524396816830144193/258762723831221787*c_1100_0 - 28511749311215626/258762723831221787, c_1100_0^12 - 3*c_1100_0^11 + 127/31*c_1100_0^10 - 28/31*c_1100_0^9 + 126/31*c_1100_0^8 - 237/31*c_1100_0^7 + 583/31*c_1100_0^6 - 268/31*c_1100_0^5 + 300/31*c_1100_0^4 - 70/31*c_1100_0^3 + 572/31*c_1100_0^2 - 344/31*c_1100_0 + 272/31 ] ==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: 2.080 seconds, Total memory usage: 32.09MB