Magma V2.22-2 Sun Aug 9 2020 22:19:49 on zickert [Seed = 2380343173] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L13n10349__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10349 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 1 3 0132 0132 3012 0132 0 0 0 1 0 0 0 0 0 0 1 -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 -1 1 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000050 0.661437827619 0 0 4 4 0132 1230 1230 0132 0 0 1 0 0 -1 1 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000120 1.322875655820 4 0 5 4 0132 0132 0132 2031 0 0 1 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 1 -1 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 0.249999999860 0.661437827698 5 6 0 7 2031 0132 0132 0132 0 0 2 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 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 0.624999998741 0.330718912436 2 2 1 1 0132 1302 0132 3012 0 0 0 1 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 0 0 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 0.500000000120 1.322875655820 7 6 3 2 3012 0321 1302 0132 0 0 0 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.499999996650 1.322875661197 8 3 9 5 0132 0132 0132 0321 0 2 0 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 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000002544 0.000000007030 8 9 3 5 2310 0132 0132 1230 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999999938 0.000000001671 6 9 7 10 0132 1230 3201 0132 2 2 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 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.200000004459 0.399999998445 11 7 8 6 0132 0132 3012 0132 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.199999996519 0.400000002623 12 11 8 12 0132 1302 0132 2031 2 2 2 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 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 1.000000002222 0.500000001357 9 12 12 10 0132 0213 0132 2031 2 2 2 2 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 0.999999997444 0.500000000422 10 10 11 11 0132 1302 0213 0132 2 2 2 2 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 1 3 -4 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 0.199999999043 0.400000001838 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1001_0' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1010_1' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_1001_4' : d['c_0101_0'], 'c_1100_2' : d['c_0101_1'], 'c_1100_5' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_1010_4' : - d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_3' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_0101_2' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1100_0' : d['c_0101_2'], 'c_1001_1' : - d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_1100_7' : d['c_0101_2'], 'c_0011_3' : d['c_0011_3'], 'c_0101_5' : - d['c_0011_3'], 'c_0011_6' : - d['c_0011_3'], 'c_1010_7' : - d['c_0011_3'], 'c_0011_8' : d['c_0011_3'], 'c_1001_9' : - d['c_0011_3'], 'c_0110_3' : d['c_0101_7'], 'c_1001_5' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_9' : d['c_0101_7'], 'c_1001_8' : - d['c_0101_7'], 'c_1010_3' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_7' : d['c_1001_6'], 'c_1010_9' : d['c_1001_6'], 'c_0011_5' : d['c_0011_5'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : - d['c_0011_5'], 'c_0101_8' : - d['c_0011_5'], 'c_0101_6' : d['c_0101_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_9' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_11' : d['c_0101_10'], 'c_0110_12' : d['c_0101_10'], 'c_1001_11' : d['c_0011_11'], 'c_0011_7' : d['c_0011_11'], 'c_1100_8' : - d['c_0011_11'], 'c_0011_9' : - d['c_0011_11'], 'c_1100_10' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_0110_10' : d['c_0011_11'], 'c_0101_12' : d['c_0011_11'], 'c_1001_12' : d['c_0011_11'], 'c_1010_8' : d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_0110_11' : d['c_0101_9'], 'c_1010_10' : - d['c_0011_10'], 'c_1100_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : - d['c_0011_10'], 'c_1010_11' : d['c_0011_10'], 'c_1100_12' : d['c_0011_10'], 's_2_11' : d['1'], 's_1_11' : - d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_0_10' : - d['1'], 's_0_9' : - d['1'], 's_3_8' : - d['1'], 's_1_8' : d['1'], 's_1_7' : d['1'], 's_0_7' : d['1'], 's_2_6' : - d['1'], 's_0_6' : - d['1'], 's_1_5' : d['1'], 's_0_5' : d['1'], 's_3_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_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_1_1' : d['1'], 's_2_3' : d['1'], 's_3_4' : d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_3_5' : d['1'], 's_1_4' : d['1'], 's_2_5' : d['1'], 's_1_6' : d['1'], 's_2_7' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_0_8' : - d['1'], 's_3_9' : - d['1'], 's_2_8' : d['1'], 's_1_9' : d['1'], 's_2_9' : d['1'], 's_2_10' : - d['1'], 's_0_11' : - d['1'], 's_0_12' : - d['1'], 's_3_11' : d['1'], 's_1_12' : d['1'], 's_2_12' : - d['1'], 's_3_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.100 Status: Saturating ideal ( 1 / 13 )... Time: 0.170 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.180 Status: Recomputing Groebner basis... Time: 0.040 Status: Saturating ideal ( 3 / 13 )... Time: 0.020 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: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 6 / 13 )... Time: 0.020 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: 0.020 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: 0.020 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: 0.100 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 1.090 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0101_9, c_1001_2, c_1001_6 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_10*c_0101_10^2 + c_0011_10*c_0101_10*c_0101_9 - 1/2*c_0101_10^2*c_0101_9 + 1/2*c_0011_10*c_0101_9^2 - c_0101_10*c_0101_9^2 - 1/2*c_0101_9^3, c_0101_10^3 - 1/4*c_0011_10*c_0101_10*c_0101_9 + 2*c_0101_10^2*c_0101_9 + 1/4*c_0011_11*c_0101_9^2 + 7/4*c_0101_10*c_0101_9^2 + 1/2*c_0101_9^3, c_0011_5*c_0101_9^2 + 4*c_0011_10*c_0101_10*c_1001_6 - 4*c_0101_10^2*c_1001_6 + 3*c_0011_10*c_0101_9*c_1001_6 - 2*c_0011_11*c_0101_9*c_1001_6 - 8*c_0101_10*c_0101_9*c_1001_6 - 4*c_0101_9^2*c_1001_6 + 2*c_0011_10*c_0101_10 + 2*c_0011_10*c_0101_9 - 2*c_0011_11*c_0101_9 - 3*c_0101_10*c_0101_9 - 2*c_0101_9^2, c_0101_7*c_0101_9^2 + 6*c_0011_10*c_0101_10*c_1001_6 - 8*c_0101_10^2*c_1001_6 + 4*c_0011_10*c_0101_9*c_1001_6 - 3*c_0011_11*c_0101_9*c_1001_6 - 12*c_0101_10*c_0101_9*c_1001_6 - 6*c_0101_9^2*c_1001_6 + 4*c_0011_10*c_0101_10 - 4*c_0101_10^2 + 3*c_0011_10*c_0101_9 - 2*c_0011_11*c_0101_9 - 8*c_0101_10*c_0101_9 - 4*c_0101_9^2, c_0011_10*c_1001_2^2 + c_0011_10*c_1001_2 - 7/2*c_0011_5*c_1001_6 - 1/2*c_0011_10 + c_0011_11 - 2*c_0101_10 - 7/2*c_0101_7 - c_0101_9, c_1001_2^3 + 11/7*c_1001_2^2 + 117/56*c_0011_5*c_1001_6 - 195/56*c_0101_2*c_1001_6 + 117/56*c_1001_2*c_1001_6 + 39/56*c_1001_6^2 + 39/56*c_0011_10 + 39/28*c_0011_5 + 7/8*c_0101_0 + 39/28*c_0101_10 - 11/7*c_0101_2 + 39/28*c_0101_7 + 39/56*c_0101_9 + 141/56*c_1001_2 - 23/56, c_0011_5*c_0101_9*c_1001_6 + c_0101_10^2 + 2*c_0101_10*c_0101_9 + c_0101_7*c_0101_9 + c_0101_9^2, c_0101_7*c_0101_9*c_1001_6 - c_0011_11*c_0101_9 - 4*c_0011_5*c_0101_9 + 4*c_0101_7*c_0101_9 + 2*c_0011_10*c_1001_2 - 2*c_0011_10*c_1001_6 + 2*c_0011_11*c_1001_6 + 8*c_0011_5*c_1001_6 + 6*c_0101_10*c_1001_6 + 4*c_0101_9*c_1001_6 + 5*c_0011_11 + 8*c_0101_10 + 8*c_0101_7 + 6*c_0101_9, c_0011_10*c_1001_2*c_1001_6 + c_0011_5*c_0101_9 - 1/2*c_0101_7*c_0101_9 + c_0011_10*c_1001_6 + 1/2*c_0011_11*c_1001_6 - 2*c_0011_5*c_1001_6 - 2*c_0101_10*c_1001_6 - c_0101_9*c_1001_6 + 1/2*c_0011_10 - c_0011_11 - 3*c_0101_10 - 2*c_0101_7 - 2*c_0101_9, c_1001_2^2*c_1001_6 - 3/8*c_0011_5*c_1001_6 - 5/8*c_0101_2*c_1001_6 - 7/8*c_0101_7*c_1001_6 + 11/8*c_1001_2*c_1001_6 - 1/8*c_1001_6^2 - 1/8*c_0011_10 + 7/8*c_0011_11 + c_0011_5 + 1/8*c_0101_0 - 1/4*c_0101_10 + c_0101_2 - 9/4*c_0101_7 - 1/8*c_0101_9 + c_1001_2 - 3/2*c_1001_6 - 1/8, c_0011_10*c_1001_6^2 - c_0011_10*c_0101_10 - 7/2*c_0101_10^2 + 1/2*c_0011_10*c_0101_9 - 5*c_0101_10*c_0101_9 - 5/2*c_0101_9^2 - 3*c_0011_11*c_1001_6 - c_0101_10*c_1001_6 + c_0011_10, c_0011_11*c_1001_6^2 - 7/4*c_0011_10*c_0101_10 - 4*c_0101_10^2 - 1/4*c_0011_11*c_0101_9 - 3*c_0011_5*c_0101_9 - 23/4*c_0101_10*c_0101_9 + 2*c_0101_7*c_0101_9 - 5/2*c_0101_9^2 + 2*c_0011_10*c_1001_2 - 4*c_0011_10*c_1001_6 + 8*c_0011_5*c_1001_6 + 4*c_0101_10*c_1001_6 + 2*c_0101_9*c_1001_6 + 5*c_0011_11 + 9*c_0101_10 + 8*c_0101_7 + 6*c_0101_9, c_0011_5*c_1001_6^2 - 3/4*c_0011_5*c_0101_9 + 1/2*c_0101_7*c_0101_9 + 1/2*c_0011_10*c_1001_2 - 1/4*c_0011_10*c_1001_6 + 2*c_0011_5*c_1001_6 + 2*c_0101_10*c_1001_6 + c_0101_7*c_1001_6 + c_0101_9*c_1001_6 + c_0011_11 + 9/4*c_0101_10 + 2*c_0101_7 + 3/2*c_0101_9, c_0101_10*c_1001_6^2 + 1/4*c_0011_10*c_0101_10 + 2*c_0101_10^2 + 3/4*c_0011_11*c_0101_9 + 3*c_0011_5*c_0101_9 + 13/4*c_0101_10*c_0101_9 - 2*c_0101_7*c_0101_9 + 3/2*c_0101_9^2 - 2*c_0011_10*c_1001_2 + 2*c_0011_10*c_1001_6 - 8*c_0011_5*c_1001_6 - 4*c_0101_10*c_1001_6 - 3*c_0101_9*c_1001_6 - 4*c_0011_11 - 8*c_0101_10 - 8*c_0101_7 - 6*c_0101_9, c_0101_2*c_1001_6^2 + 1/4*c_0011_10*c_1001_2 - 2*c_0011_5*c_1001_6 + 2*c_0101_2*c_1001_6 + c_0101_7*c_1001_6 - 2*c_1001_2*c_1001_6 - c_0011_5 - 3/4*c_0101_10 - 1/2*c_0101_9 - c_1001_2 + c_1001_6, c_0101_7*c_1001_6^2 + 8/7*c_1001_2^2 - c_0011_11*c_1001_6 + 52/7*c_0011_5*c_1001_6 - 19/7*c_0101_2*c_1001_6 + 2*c_0101_7*c_1001_6 + 45/7*c_1001_2*c_1001_6 + 29/7*c_1001_6^2 + 8/7*c_0011_10 - 2*c_0011_11 + 2/7*c_0011_5 + 30/7*c_0101_10 - 8/7*c_0101_2 + 58/7*c_0101_7 + 15/7*c_0101_9 + 16/7*c_1001_2 + 6*c_1001_6 + 17/7, c_0101_9*c_1001_6^2 - 3*c_0101_10^2 + c_0011_10*c_0101_9 + 2*c_0011_5*c_0101_9 - 4*c_0101_10*c_0101_9 - c_0101_7*c_0101_9 - 2*c_0101_9^2 - 3*c_0011_11*c_1001_6 - 4*c_0011_5*c_1001_6 - 5*c_0101_10*c_1001_6 + c_0011_10 - 2*c_0011_11 - 6*c_0101_10 - 4*c_0101_7 - 3*c_0101_9, c_1001_2*c_1001_6^2 + 7/4*c_0011_10*c_1001_2 - c_0011_5*c_1001_6 + 3*c_0101_2*c_1001_6 + 2*c_0101_7*c_1001_6 - c_1001_2*c_1001_6 + c_1001_6^2 + c_0011_10 - 3*c_0011_5 - c_0101_0 - 1/4*c_0101_10 - 3*c_0101_2 + 4*c_0101_7 - 1/2*c_0101_9 - 2*c_1001_2 + 6*c_1001_6 + 1, c_1001_6^3 + 9/4*c_0011_5*c_0101_9 - 3/2*c_0101_7*c_0101_9 - 11/2*c_0011_10*c_1001_2 + 7/4*c_0011_10*c_1001_6 - 8*c_0011_5*c_1001_6 - 4*c_0101_10*c_1001_6 - 2*c_0101_2*c_1001_6 - 2*c_0101_7*c_1001_6 - 2*c_0101_9*c_1001_6 - 2*c_1001_2*c_1001_6 - 2*c_1001_6^2 - 2*c_0011_10 - 3*c_0011_11 + 3*c_0011_5 + 2*c_0101_0 - 31/4*c_0101_10 + 8*c_0101_2 - 14*c_0101_7 - 9/2*c_0101_9 - 12*c_1001_6 - 2, c_0011_10^2 + 2*c_0101_10^2 - c_0011_10*c_0101_9 + 2*c_0101_10*c_0101_9 + c_0101_9^2, c_0011_10*c_0011_11 + c_0011_10*c_0101_10 - c_0011_11*c_0101_9, c_0011_11^2 + 3*c_0101_10^2 - c_0011_10*c_0101_9 + 4*c_0101_10*c_0101_9 + 2*c_0101_9^2, c_0011_10*c_0011_5 + c_0011_10*c_1001_6 - c_0101_9*c_1001_6 - c_0011_11 + c_0101_10, c_0011_11*c_0011_5 - 4*c_0011_5*c_1001_6 - c_0101_10*c_1001_6 - c_0011_10 - 4*c_0101_10 - 4*c_0101_7 - 2*c_0101_9, c_0011_5^2 - 24/7*c_1001_2^2 - 58/7*c_0011_5*c_1001_6 - 13/7*c_0101_2*c_1001_6 - 2*c_0101_7*c_1001_6 - 37/7*c_1001_2*c_1001_6 - 17/7*c_1001_6^2 - 17/7*c_0011_10 + 2*c_0011_11 + 22/7*c_0011_5 - 48/7*c_0101_10 - 32/7*c_0101_2 - 104/7*c_0101_7 - 24/7*c_0101_9 + 8/7*c_1001_2 - 6*c_1001_6 - 37/7, c_0011_10*c_0101_0 + 2*c_0011_10*c_1001_2 + c_0011_10 + 2*c_0011_11 - c_0101_10 - c_0101_9, c_0011_11*c_0101_0 + c_0101_10 + c_0101_9, c_0011_5*c_0101_0 + 8/7*c_1001_2^2 + 24/7*c_0011_5*c_1001_6 + 9/7*c_0101_2*c_1001_6 + c_0101_7*c_1001_6 + 17/7*c_1001_2*c_1001_6 + 8/7*c_1001_6^2 + 8/7*c_0011_10 - c_0011_11 - 19/7*c_0011_5 + 16/7*c_0101_10 + 20/7*c_0101_2 + 51/7*c_0101_7 + 8/7*c_0101_9 - 12/7*c_1001_2 + 3*c_1001_6 + 24/7, c_0101_0^2 - 3*c_0011_5*c_1001_6 + 5*c_0101_2*c_1001_6 - 3*c_1001_2*c_1001_6 - c_1001_6^2 - c_0011_10 - 2*c_0011_5 - 2*c_0101_0 - 2*c_0101_10 - 2*c_0101_2 - 2*c_0101_7 - c_0101_9 - 2*c_1001_2 - 1, c_0011_11*c_0101_10 - c_0101_10^2 - 2*c_0101_10*c_0101_9 - c_0101_9^2, c_0011_5*c_0101_10 + 2*c_0011_5*c_0101_9 - c_0101_7*c_0101_9 - c_0101_10*c_1001_6 - 2*c_0011_11 - 2*c_0101_10 - c_0101_9, c_0101_0*c_0101_10 - 2*c_0011_10*c_1001_2 - 4*c_0011_5*c_1001_6 - c_0011_10 - c_0011_11 - 3*c_0101_10 - 4*c_0101_7 - 2*c_0101_9, c_0011_10*c_0101_2 - c_0011_10*c_1001_2 - c_0011_11, c_0011_11*c_0101_2 + c_0011_5*c_1001_6 + c_0101_7, c_0011_5*c_0101_2 - c_0101_2*c_1001_6 + 2*c_0011_5 - 2*c_0101_2 - c_0101_7 + 2*c_1001_2 - 1, c_0101_0*c_0101_2 + c_0101_0 + c_0101_2, c_0101_10*c_0101_2 + c_0011_5*c_1001_6 + 2*c_0101_10 + c_0101_7 + c_0101_9, c_0101_2^2 + 1/7*c_1001_2^2 + 3/7*c_0011_5*c_1001_6 - 5/7*c_0101_2*c_1001_6 + 3/7*c_1001_2*c_1001_6 + 1/7*c_1001_6^2 + 1/7*c_0011_10 + 2/7*c_0011_5 + 2/7*c_0101_10 + 6/7*c_0101_2 + 2/7*c_0101_7 + 1/7*c_0101_9 + 2/7*c_1001_2 + 3/7, c_0011_10*c_0101_7 - 2*c_0011_5*c_0101_9 + c_0101_7*c_0101_9 + c_0011_11*c_1001_6 + 4*c_0011_5*c_1001_6 + 3*c_0101_10*c_1001_6 + 2*c_0011_11 + 6*c_0101_10 + 4*c_0101_7 + 3*c_0101_9, c_0011_11*c_0101_7 + c_0101_9*c_1001_6 - c_0101_10, c_0011_5*c_0101_7 - 16/7*c_1001_2^2 - 48/7*c_0011_5*c_1001_6 - 18/7*c_0101_2*c_1001_6 - 2*c_0101_7*c_1001_6 - 34/7*c_1001_2*c_1001_6 - 16/7*c_1001_6^2 - 16/7*c_0011_10 + 2*c_0011_11 + 45/7*c_0011_5 - 39/7*c_0101_10 - 33/7*c_0101_2 - 102/7*c_0101_7 - 16/7*c_0101_9 + 31/7*c_1001_2 - 6*c_1001_6 - 34/7, c_0101_0*c_0101_7 + 8/7*c_1001_2^2 + 24/7*c_0011_5*c_1001_6 + 9/7*c_0101_2*c_1001_6 + c_0101_7*c_1001_6 + 17/7*c_1001_2*c_1001_6 + 8/7*c_1001_6^2 + 8/7*c_0011_10 - c_0011_11 - 26/7*c_0011_5 + 16/7*c_0101_10 + 13/7*c_0101_2 + 51/7*c_0101_7 + 8/7*c_0101_9 - 19/7*c_1001_2 + 3*c_1001_6 + 17/7, c_0101_10*c_0101_7 + c_0011_5*c_0101_9 - c_0011_11, c_0101_2*c_0101_7 + c_0011_5 + c_1001_2, c_0101_7^2 - 16/7*c_1001_2^2 - 48/7*c_0011_5*c_1001_6 - 25/7*c_0101_2*c_1001_6 - 2*c_0101_7*c_1001_6 - 41/7*c_1001_2*c_1001_6 - 16/7*c_1001_6^2 - 16/7*c_0011_10 + 2*c_0011_11 + 52/7*c_0011_5 - 32/7*c_0101_10 - 26/7*c_0101_2 - 95/7*c_0101_7 - 9/7*c_0101_9 + 38/7*c_1001_2 - 8*c_1001_6 - 34/7, c_0101_0*c_0101_9 + 2*c_0011_10*c_1001_2 + 4*c_0011_5*c_1001_6 + c_0011_10 + c_0011_11 + 4*c_0101_10 + 4*c_0101_7 + 2*c_0101_9, c_0101_2*c_0101_9 - c_0101_10, c_0011_11*c_1001_2 + 3*c_0011_5*c_1001_6 + c_0011_10 + 2*c_0101_10 + 3*c_0101_7 + c_0101_9, c_0011_5*c_1001_2 + 8/7*c_1001_2^2 + 3/7*c_0011_5*c_1001_6 + 2/7*c_0101_2*c_1001_6 + 3/7*c_1001_2*c_1001_6 + 1/7*c_1001_6^2 + 1/7*c_0011_10 + 2/7*c_0011_5 + 2/7*c_0101_10 + 6/7*c_0101_2 + 2/7*c_0101_7 + 1/7*c_0101_9 + 2/7*c_1001_2 + 3/7, c_0101_0*c_1001_2 - c_0101_2 - 1, c_0101_10*c_1001_2 - c_0011_5*c_1001_6 - c_0101_7, c_0101_2*c_1001_2 - 1/7*c_1001_2^2 - 3/7*c_0011_5*c_1001_6 + 5/7*c_0101_2*c_1001_6 - 3/7*c_1001_2*c_1001_6 - 1/7*c_1001_6^2 - 1/7*c_0011_10 - 2/7*c_0011_5 - 2/7*c_0101_10 + 8/7*c_0101_2 - 2/7*c_0101_7 - 1/7*c_0101_9 - 2/7*c_1001_2 + 4/7, c_0101_7*c_1001_2 + c_0101_2 - c_1001_6, c_0101_9*c_1001_2 + c_0011_11, c_0101_0*c_1001_6 + c_0011_5 + c_0101_0 + c_0101_2 - c_0101_7 + c_1001_2, c_0011_0 - 1, c_0011_3 - 1, c_0101_1 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_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: 0.010 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: 0.010 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: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.140 ==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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_0101_9, c_1001_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 6187594935424583615904/40591838601912554236061*c_1001_6^11 + 10569154530557431379696/40591838601912554236061*c_1001_6^10 - 58258203489254949372312/40591838601912554236061*c_1001_6^9 - 117520380341733670351604/40591838601912554236061*c_1001_6^8 + 208479304299449934293685/81183677203825108472122*c_1001_6^7 + 1833905523628889416371511/162367354407650216944244*c_1001_6^6 + 643726012696301487006166/40591838601912554236061*c_1001_6^5 + 2833454731336376214455449/162367354407650216944244*c_1001_6^4 + 1071000625100186061905583/40591838601912554236061*c_1001_6^3 + 4453662827033435050910349/162367354407650216944244*c_1001_6^2 + 663684508356101017701630/40591838601912554236061*c_1001_6 + 120160763613033202368915/40591838601912554236061, c_0011_11 - 5916354714788456558896/40591838601912554236061*c_1001_6^11 - 8855109343277255599952/40591838601912554236061*c_1001_6^10 + 56359465099295389520548/40591838601912554236061*c_1001_6^9 + 99508974889129213914172/40591838601912554236061*c_1001_6^8 - 429399524231615818944091/162367354407650216944244*c_1001_6^7 - 1619533150791494141386365/162367354407650216944244*c_1001_6^6 - 2288037934051267966599325/162367354407650216944244*c_1001_6^5 - 2435043616314509986351783/162367354407650216944244*c_1001_6^4 - 3717140000663710177234773/162367354407650216944244*c_1001_6^3 - 3794049236005265013851525/162367354407650216944244*c_1001_6^2 - 1198609156103705042250517/81183677203825108472122*c_1001_6 - 122305138175927086362572/40591838601912554236061, c_0011_3 - 1, c_0011_5 - 16339103620663514604968/40591838601912554236061*c_1001_6^11 - 26531726092677972175600/40591838601912554236061*c_1001_6^10 + 159418393964681524512702/40591838601912554236061*c_1001_6^9 + 295177816485407570722452/40591838601912554236061*c_1001_6^8 - 2645322447967072056110189/324734708815300433888488*c_1001_6^7 - 4710006883097570449994287/162367354407650216944244*c_1001_6^6 - 12225200137904192707135967/324734708815300433888488*c_1001_6^5 - 6660550722516729922854469/162367354407650216944244*c_1001_6^4 - 20509621339643259588753251/324734708815300433888488*c_1001_6^3 - 2619433549237411932942631/40591838601912554236061*c_1001_6^2 - 2789428996068690480150975/81183677203825108472122*c_1001_6 - 249312080393597292488673/40591838601912554236061, c_0101_0 - 3472860237337886383744/40591838601912554236061*c_1001_6^11 - 3091339891764033723264/40591838601912554236061*c_1001_6^10 + 31636673173339292047104/40591838601912554236061*c_1001_6^9 + 34277723175205562158944/40591838601912554236061*c_1001_6^8 - 49519534791036871333442/40591838601912554236061*c_1001_6^7 - 150897619300525695566318/40591838601912554236061*c_1001_6^6 - 670483683232425256215267/81183677203825108472122*c_1001_6^5 - 390134331750255941948999/40591838601912554236061*c_1001_6^4 - 1057955940507274349329271/81183677203825108472122*c_1001_6^3 - 513579227361246964900338/40591838601912554236061*c_1001_6^2 - 967579813951025177645037/81183677203825108472122*c_1001_6 - 162303530003302424066363/40591838601912554236061, c_0101_1 - 1, c_0101_10 + 1548432204817606884072/40591838601912554236061*c_1001_6^11 + 545319318284771971856/40591838601912554236061*c_1001_6^10 - 15283689907533306158382/40591838601912554236061*c_1001_6^9 - 6915133249487519230508/40591838601912554236061*c_1001_6^8 + 283229576528906267803605/324734708815300433888488*c_1001_6^7 + 192948412386999148175777/162367354407650216944244*c_1001_6^6 + 736645421400204342259303/324734708815300433888488*c_1001_6^5 + 414370677596290671923363/162367354407650216944244*c_1001_6^4 + 1384329033971947614540131/324734708815300433888488*c_1001_6^3 + 238064250824936668114905/81183677203825108472122*c_1001_6^2 + 214326499432373741195767/81183677203825108472122*c_1001_6 + 50812010079404329899607/40591838601912554236061, c_0101_2 + 1548432204817606884072/40591838601912554236061*c_1001_6^11 + 545319318284771971856/40591838601912554236061*c_1001_6^10 - 15283689907533306158382/40591838601912554236061*c_1001_6^9 - 6915133249487519230508/40591838601912554236061*c_1001_6^8 + 283229576528906267803605/324734708815300433888488*c_1001_6^7 + 192948412386999148175777/162367354407650216944244*c_1001_6^6 + 736645421400204342259303/324734708815300433888488*c_1001_6^5 + 414370677596290671923363/162367354407650216944244*c_1001_6^4 + 1384329033971947614540131/324734708815300433888488*c_1001_6^3 + 238064250824936668114905/81183677203825108472122*c_1001_6^2 + 214326499432373741195767/81183677203825108472122*c_1001_6 + 50812010079404329899607/40591838601912554236061, c_0101_7 - 8492796355483598501520/40591838601912554236061*c_1001_6^11 - 18973491226247192137712/40591838601912554236061*c_1001_6^10 + 79023140203633125789324/40591838601912554236061*c_1001_6^9 + 206124224897210617725620/40591838601912554236061*c_1001_6^8 - 490186187698656873584609/162367354407650216944244*c_1001_6^7 - 3012971087333132420389783/162367354407650216944244*c_1001_6^6 - 4205004878046778173942225/162367354407650216944244*c_1001_6^5 - 4516770757343773547639853/162367354407650216944244*c_1001_6^4 - 6653138017829073877071553/162367354407650216944244*c_1001_6^3 - 7641876077020197689740967/162367354407650216944244*c_1001_6^2 - 1090371675572134342783211/40591838601912554236061*c_1001_6 - 202901644708854964859481/40591838601912554236061, c_0101_9 - 1, c_1001_2 + 5916354714788456558896/40591838601912554236061*c_1001_6^11 + 8855109343277255599952/40591838601912554236061*c_1001_6^10 - 56359465099295389520548/40591838601912554236061*c_1001_6^9 - 99508974889129213914172/40591838601912554236061*c_1001_6^8 + 429399524231615818944091/162367354407650216944244*c_1001_6^7 + 1619533150791494141386365/162367354407650216944244*c_1001_6^6 + 2288037934051267966599325/162367354407650216944244*c_1001_6^5 + 2435043616314509986351783/162367354407650216944244*c_1001_6^4 + 3717140000663710177234773/162367354407650216944244*c_1001_6^3 + 3794049236005265013851525/162367354407650216944244*c_1001_6^2 + 1198609156103705042250517/81183677203825108472122*c_1001_6 + 122305138175927086362572/40591838601912554236061, c_1001_6^12 + 2*c_1001_6^11 - 35/4*c_1001_6^10 - 43/2*c_1001_6^9 + 601/64*c_1001_6^8 + 2449/32*c_1001_6^7 + 8427/64*c_1001_6^6 + 4959/32*c_1001_6^5 + 13687/64*c_1001_6^4 + 3873/16*c_1001_6^3 + 2943/16*c_1001_6^2 + 281/4*c_1001_6 + 41/4 ] ==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: 2.660 seconds, Total memory usage: 32.09MB