Magma V2.22-2 Sun Aug 9 2020 22:19:17 on zickert [Seed = 511014885] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L11n247__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n247 degenerate_solution 7.32772495 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 -0.999999997594 2.000000002207 0 5 2 6 0132 0132 2031 0132 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 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 -0.000000000077 0.000000000820 3 0 7 1 2031 0132 0132 1302 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.199999999358 0.400000000120 5 6 2 0 0213 1302 1302 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999999384 0.000000006562 8 8 0 7 0132 1230 0132 1230 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200000000268 0.399999999773 3 1 9 6 0213 0132 0132 2310 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 -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 1.999999995600 1.999999999214 5 10 1 3 3201 0132 0132 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999999995600 1.999999999214 4 8 8 2 3012 1302 3012 0132 1 1 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 0 -1 1 -1 0 1 0 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000000000428 0.500000000097 4 7 4 7 0132 1230 3012 2031 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 -2 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.000000001711 1.999999999611 10 11 11 5 2031 0132 1302 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 1 0 -1 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 -0.000000001560 0.500000001267 11 6 9 11 2031 0132 1302 1023 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 -3 0 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 0.000000001487 0.499999999994 9 9 10 10 2031 0132 1302 1023 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 -1 3 -2 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 0.999999994052 2.000000000023 ==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_3' : 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_5' : - d['c_0101_0'], 'c_1001_7' : d['c_0011_4'], 'c_0110_0' : d['c_0011_4'], 'c_0101_1' : d['c_0011_4'], 'c_0101_4' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_1100_7' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_8' : - d['c_0011_4'], 'c_1001_8' : - d['c_0011_4'], '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_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1010_7' : d['c_1001_2'], 'c_1100_8' : - d['c_1001_2'], 'c_0101_2' : 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_0110_7' : d['c_0101_2'], 'c_1001_1' : - d['c_0110_2'], 'c_1010_5' : - d['c_0110_2'], 'c_0110_2' : d['c_0110_2'], 'c_1001_3' : d['c_0110_2'], 'c_0110_6' : d['c_0110_2'], 'c_0110_10' : d['c_0110_10'], 'c_1010_1' : d['c_0110_10'], 'c_1001_5' : d['c_0110_10'], 'c_1001_6' : d['c_0110_10'], 'c_1010_9' : d['c_0110_10'], 'c_1010_10' : d['c_0110_10'], 'c_1001_11' : d['c_0110_10'], 'c_1001_9' : d['c_0110_10'], 'c_1010_11' : d['c_0110_10'], 'c_0110_11' : d['c_0110_10'], 'c_0011_3' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_1010_6' : d['c_0011_3'], 'c_0110_9' : d['c_0011_3'], 'c_1001_10' : d['c_0011_3'], 'c_1010_4' : d['c_0011_7'], 'c_0110_4' : d['c_0011_7'], 'c_0101_8' : d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_0101_7' : d['c_0011_7'], 'c_1010_8' : d['c_0011_7'], 'c_1100_5' : - d['c_0011_10'], 'c_1100_9' : - d['c_0011_10'], 'c_0011_6' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_11' : - d['c_0011_10'], 'c_0101_9' : - d['c_0011_11'], 'c_1100_10' : - d['c_0011_11'], 'c_0011_9' : - d['c_0011_11'], 'c_0101_10' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1100_11' : d['c_0011_11'], 's_3_10' : d['1'], 's_0_10' : - d['1'], 's_2_9' : d['1'], 's_1_9' : - d['1'], 's_0_9' : d['1'], 's_2_7' : d['1'], 's_1_7' : - d['1'], 's_1_6' : - d['1'], 's_3_5' : d['1'], 's_2_5' : - d['1'], 's_3_4' : 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_2_3' : d['1'], 's_3_7' : - d['1'], 's_0_5' : d['1'], 's_3_6' : d['1'], 's_0_8' : - d['1'], 's_2_8' : d['1'], 's_0_7' : d['1'], 's_3_9' : - d['1'], 's_0_6' : d['1'], 's_1_10' : - d['1'], 's_3_8' : - d['1'], 's_1_8' : d['1'], 's_2_10' : d['1'], 's_1_11' : - d['1'], 's_0_11' : d['1'], 's_2_11' : - d['1'], 's_3_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.060 Status: Saturating ideal ( 1 / 12 )... Time: 0.070 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.130 Status: Recomputing Groebner basis... Time: 0.120 Status: Saturating ideal ( 3 / 12 )... Time: 0.090 Status: Recomputing Groebner basis... Time: 0.050 Status: Saturating ideal ( 4 / 12 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... Time: 0.070 Status: Recomputing Groebner basis... Time: 0.050 Status: Dimension of ideal: 1 [ 9 ] Status: Computing RadicalDecomposition Time: 0.360 Status: Number of components: 2 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 1.660 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 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_7, c_0101_0, c_0101_2, c_0110_10, c_0110_2, c_1001_0, c_1001_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_10^2 - 3*c_0011_10*c_0110_10 - c_0011_11*c_0110_10 + c_0011_3*c_0110_10 + 3*c_0110_10^2, c_0011_10*c_0011_11 - c_0011_11*c_0110_10 + c_0011_3*c_0110_10, c_0011_11^2 + c_0011_10*c_0110_10 - c_0110_10^2, c_0011_10*c_0011_3 - 2*c_0011_10*c_0110_10 - 2*c_0011_11*c_0110_10 - c_0011_3*c_0110_10 + 3*c_0110_10^2, c_0011_11*c_0011_3 - c_0011_10*c_0110_10 - c_0011_11*c_0110_10 + c_0011_3*c_0110_10 + 2*c_0110_10^2, c_0011_3^2 - 2*c_0011_10*c_0110_10 - c_0011_11*c_0110_10 - 2*c_0011_3*c_0110_10 + 2*c_0110_10^2, c_0011_10*c_0011_7 - c_0011_10 + 2*c_0011_11 + c_0011_3, c_0011_11*c_0011_7 - c_0110_10, c_0011_3*c_0011_7 + c_0011_10 - c_0110_10, c_0011_7^2 - c_1001_2 - 1, c_0011_10*c_0101_0 - c_0011_10*c_1001_0 + c_0110_10*c_1001_0 - c_0011_10 + c_0011_11 + c_0011_3, c_0011_11*c_0101_0 - 1/3*c_0011_10*c_1001_0 - 1/3*c_0011_11*c_1001_0 + 1/3*c_0011_3*c_1001_0 + 1/3*c_0110_10*c_1001_0 + 1/3*c_0011_10 - 1/3*c_0011_11 - c_0110_10, c_0011_3*c_0101_0 - 1/3*c_0011_10*c_1001_0 - 1/3*c_0011_11*c_1001_0 - 2/3*c_0011_3*c_1001_0 + 1/3*c_0110_10*c_1001_0 + 1/3*c_0011_10 - 1/3*c_0011_11, c_0011_7*c_0101_0 - c_1001_0*c_1001_2 - c_0011_7 + 3*c_0101_0 - c_0101_2 + c_0110_2 - 3*c_1001_0 - 2*c_1001_2 - 3, c_0101_0^2 + c_1001_0*c_1001_2 + c_0011_3 - c_0011_7 - 3*c_0101_0 + c_0101_2 - 3*c_0110_2 + 5*c_1001_0 + 2*c_1001_2 + 4, c_0011_10*c_0101_2 - c_0011_11 + c_0011_3 - 3*c_0110_10, c_0011_11*c_0101_2 + 2*c_0011_10 - 2*c_0011_11 - c_0011_3 - 2*c_0110_10, c_0011_3*c_0101_2 + c_0110_10, c_0011_7*c_0101_2 - c_0011_7 - c_0101_2 - c_1001_2 - 2, c_0101_0*c_0101_2 - c_0011_7 - c_0101_2 - c_0110_2, c_0101_2^2 + c_0011_7 - 2*c_0101_2 + 2*c_1001_2 + 2, c_0011_7*c_0110_10 - c_0011_10 + c_0011_11 + c_0011_3, c_0101_0*c_0110_10 - 1/3*c_0011_10*c_1001_0 + 1/3*c_0011_11*c_1001_0 - 2/3*c_0011_10 + 1/3*c_0011_11 + 2/3*c_0011_3 - 1/3*c_0110_10, c_0101_2*c_0110_10 + c_0011_10 - 2*c_0011_11 - 3*c_0110_10, c_0011_10*c_0110_2 - c_0011_10*c_1001_0 + c_0011_11*c_1001_0 + c_0011_3*c_1001_0 - c_0011_10 + c_0110_10, c_0011_11*c_0110_2 + 1/3*c_0011_10*c_1001_0 - 1/3*c_0011_11*c_1001_0 - c_0110_10*c_1001_0 - 1/3*c_0011_10 - 1/3*c_0011_11 + 1/3*c_0011_3 + 1/3*c_0110_10, c_0011_3*c_0110_2 + 1/3*c_0011_10*c_1001_0 - 1/3*c_0011_11*c_1001_0 - 1/3*c_0011_10 - 1/3*c_0011_11 - 2/3*c_0011_3 + 1/3*c_0110_10, c_0011_7*c_0110_2 - c_1001_0*c_1001_2 - c_0011_7 + c_0101_0 - 2*c_1001_0, c_0101_0*c_0110_2 - c_0110_10 - c_1001_0, c_0101_2*c_0110_2 + c_1001_0*c_1001_2 - c_0011_7 - c_0101_0 - 3*c_0110_2 + c_1001_0 + c_1001_2 + 3, c_0110_10*c_0110_2 - 2/3*c_0011_10*c_1001_0 + 1/3*c_0011_11*c_1001_0 + 2/3*c_0011_3*c_1001_0 - 1/3*c_0110_10*c_1001_0 - 1/3*c_0011_10 + 1/3*c_0011_11, c_0110_2^2 + 2*c_1001_0*c_1001_2 + c_0011_10 - 2*c_0011_11 + 2*c_0011_7 - 3*c_0101_0 + c_0101_2 - 3*c_0110_10 + 5*c_1001_0 + c_1001_2 + 1, c_0011_7*c_1001_0 - c_1001_0*c_1001_2 - c_0011_7 + 3*c_0101_0 - c_0101_2 - 3*c_1001_0 - c_1001_2 - 1, c_0101_0*c_1001_0 + 3*c_1001_0*c_1001_2 - c_0011_11 + c_0011_3 + c_0011_7 - 9*c_0101_0 + 3*c_0101_2 - 5*c_0110_2 + 11*c_1001_0 + 5*c_1001_2 + 9, c_0101_2*c_1001_0 + 2*c_1001_0*c_1001_2 - 3*c_0101_0 + c_0101_2 - 3*c_0110_2 + 4*c_1001_0 + 2*c_1001_2 + 4, c_0110_2*c_1001_0 + 2*c_0011_10 - 2*c_0011_11 - c_0011_3 + c_0011_7 + c_0101_0 - 3*c_0110_10 + 3*c_0110_2 - c_1001_0 - c_1001_2 - 3, c_1001_0^2 + 3*c_1001_0*c_1001_2 + c_0011_10 - 3*c_0011_11 + 3*c_0011_7 - 12*c_0101_0 + 4*c_0101_2 - 3*c_0110_2 + 13*c_1001_0 + 5*c_1001_2 + 8, c_0011_10*c_1001_2 - c_0011_10 + 2*c_0011_11 + c_0011_3 + 3*c_0110_10, c_0011_11*c_1001_2 - c_0011_10 + 2*c_0011_11 + c_0011_3, c_0011_3*c_1001_2 - c_0011_11 + c_0011_3, c_0011_7*c_1001_2 + c_0011_7 + c_0101_2, c_0101_0*c_1001_2 + c_0101_2 + c_1001_0, c_0101_2*c_1001_2 - 2*c_0011_7 + c_0101_2 - 2*c_1001_2 - 3, c_0110_10*c_1001_2 - 2*c_0011_10 + 2*c_0011_11 + c_0011_3 + 3*c_0110_10, c_0110_2*c_1001_2 - 2*c_1001_0*c_1001_2 + 3*c_0101_0 - c_0101_2 + 3*c_0110_2 - 4*c_1001_0 - 2*c_1001_2 - 3, c_1001_2^2 + c_0011_7 + c_0101_2 + 3*c_1001_2 + 3, c_0011_0 - 1, c_0011_4 - 1 ], Ideal of Polynomial ring of rank 12 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_7, c_0101_0, c_0101_2, c_0110_10, c_0110_2, c_1001_0, c_1001_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_10^2 - 4*c_0011_10*c_0110_10 + c_0011_11*c_0110_10 + 2*c_0011_3*c_0110_10 + 4*c_0110_10^2, c_0011_10*c_0011_11 - c_0011_11*c_0110_10 + c_0011_3*c_0110_10, c_0011_11^2 + c_0011_10*c_0110_10 - c_0110_10^2, c_0011_10*c_0011_3 - 3*c_0011_10*c_0110_10 + c_0011_11*c_0110_10 + c_0011_3*c_0110_10 + 5*c_0110_10^2, c_0011_11*c_0011_3 - 2*c_0011_10*c_0110_10 + c_0011_11*c_0110_10 + 2*c_0011_3*c_0110_10 + 3*c_0110_10^2, c_0011_3^2 - 3*c_0011_10*c_0110_10 + c_0011_3*c_0110_10 + 5*c_0110_10^2, c_0011_10*c_0011_7 - c_0011_10 - c_0011_11 + c_0011_3, c_0011_11*c_0011_7 + c_0011_10 - c_0011_11 - c_0110_10, c_0011_3*c_0011_7 - 2*c_0011_10 + c_0011_11 + c_0011_3 + 3*c_0110_10, c_0011_7^2 - c_1001_2 - 1, c_0011_10*c_0101_0 + c_0011_10*c_1001_0 - 10/7*c_0011_11*c_1001_0 - 5/7*c_0011_3*c_1001_0 - 13/7*c_0110_10*c_1001_0 - 2*c_0011_10 + 4/7*c_0011_11 + 9/7*c_0011_3 + 8/7*c_0110_10, c_0011_11*c_0101_0 - 2/7*c_0011_11*c_1001_0 - 1/7*c_0011_3*c_1001_0 + 3/7*c_0110_10*c_1001_0 + c_0011_10 - 9/7*c_0011_11 - 1/7*c_0011_3 - 11/7*c_0110_10, c_0011_3*c_0101_0 - 1/7*c_0011_11*c_1001_0 - 4/7*c_0011_3*c_1001_0 - 2/7*c_0110_10*c_1001_0 - c_0011_10 + 6/7*c_0011_11 + 3/7*c_0011_3 + 12/7*c_0110_10, c_0011_7*c_0101_0 + c_1001_0*c_1001_2 + c_0011_7 - 4*c_0101_0 + c_0101_2 - 2*c_0110_2 + 4*c_1001_0 + c_1001_2 + 3, c_0101_0^2 - 3*c_1001_0*c_1001_2 + c_0011_3 - c_0011_7 + 6*c_0101_0 - 3*c_0101_2 + 4*c_0110_2 - 8*c_1001_0 - 5*c_1001_2 - 10, c_0011_10*c_0101_2 - 5*c_0011_10 + 5*c_0011_11 + 2*c_0011_3 + 7*c_0110_10, c_0011_11*c_0101_2 - c_0011_10 + c_0011_3, c_0011_3*c_0101_2 + c_0110_10, c_0011_7*c_0101_2 + c_0011_7 - 2*c_0101_2 - 2*c_1001_2 - 3, c_0101_0*c_0101_2 + c_0011_7 - 2*c_0101_2 - c_0110_2 - c_1001_2 - 1, c_0101_2^2 + c_0101_2 + 3*c_1001_2 + 5, c_0011_7*c_0110_10 - c_0011_11 - c_0110_10, c_0101_0*c_0110_10 + c_0011_10*c_1001_0 - 6/7*c_0011_11*c_1001_0 - 3/7*c_0011_3*c_1001_0 - 12/7*c_0110_10*c_1001_0 - c_0011_10 + 1/7*c_0011_11 + 4/7*c_0011_3 + 2/7*c_0110_10, c_0101_2*c_0110_10 - 3*c_0011_10 + 3*c_0011_11 + c_0011_3 + 4*c_0110_10, c_0011_10*c_0110_2 - 2*c_0011_10*c_1001_0 + 4/7*c_0011_11*c_1001_0 + 9/7*c_0011_3*c_1001_0 + 8/7*c_0110_10*c_1001_0 + c_0011_10 - 10/7*c_0011_11 - 5/7*c_0011_3 - 13/7*c_0110_10, c_0011_11*c_0110_2 + c_0011_10*c_1001_0 - 9/7*c_0011_11*c_1001_0 - 1/7*c_0011_3*c_1001_0 - 11/7*c_0110_10*c_1001_0 - 2/7*c_0011_11 - 1/7*c_0011_3 + 3/7*c_0110_10, c_0011_3*c_0110_2 - c_0011_10*c_1001_0 + 6/7*c_0011_11*c_1001_0 + 3/7*c_0011_3*c_1001_0 + 12/7*c_0110_10*c_1001_0 - 1/7*c_0011_11 - 4/7*c_0011_3 - 2/7*c_0110_10, c_0011_7*c_0110_2 - c_1001_0*c_1001_2 - c_0011_7 + c_0101_0 - 2*c_1001_0, c_0101_0*c_0110_2 - c_0110_10 - c_1001_0, c_0101_2*c_0110_2 - c_0011_7 + 5*c_0101_0 - 3*c_0101_2 + c_0110_2 - 3*c_1001_0 - 4*c_1001_2 - 7, c_0110_10*c_0110_2 - c_0011_10*c_1001_0 + 1/7*c_0011_11*c_1001_0 + 4/7*c_0011_3*c_1001_0 + 2/7*c_0110_10*c_1001_0 + c_0011_10 - 6/7*c_0011_11 - 3/7*c_0011_3 - 12/7*c_0110_10, c_0110_2^2 + c_1001_0*c_1001_2 - 3*c_0011_10 + 3*c_0011_11 + c_0011_3 + c_0011_7 - 7*c_0101_0 + 4*c_0101_2 + 4*c_0110_10 - 3*c_0110_2 + 6*c_1001_0 + 6*c_1001_2 + 11, c_0011_7*c_1001_0 + c_1001_0*c_1001_2 + c_0011_7 - 4*c_0101_0 + c_0101_2 - 3*c_0110_2 + 4*c_1001_0 + 2*c_1001_2 + 5, c_0101_0*c_1001_0 - 5*c_1001_0*c_1001_2 - c_0011_10 + c_0011_11 + 2*c_0011_3 - 3*c_0011_7 + 14*c_0101_0 - 5*c_0101_2 + c_0110_10 + 8*c_0110_2 - 16*c_1001_0 - 8*c_1001_2 - 17, c_0101_2*c_1001_0 + c_1001_0*c_1001_2 + c_0101_0 - c_0101_2 - c_0110_2 + c_1001_0 - c_1001_2 - 1, c_0110_2*c_1001_0 + c_1001_0*c_1001_2 - c_0011_10 + 2*c_0011_11 + c_0011_7 - 5*c_0101_0 + 3*c_0101_2 + c_0110_10 - c_0110_2 + 3*c_1001_0 + 4*c_1001_2 + 7, c_1001_0^2 - 8*c_1001_0*c_1001_2 - 2*c_0011_10 + 3*c_0011_11 + 3*c_0011_3 - 5*c_0011_7 + 21*c_0101_0 - 6*c_0101_2 + 3*c_0110_10 + 14*c_0110_2 - 25*c_1001_0 - 11*c_1001_2 - 25, c_0011_10*c_1001_2 + 3*c_0011_10 - 3*c_0011_11 - 4*c_0110_10, c_0011_11*c_1001_2 + 2*c_0011_10 - c_0011_3 - 2*c_0110_10, c_0011_3*c_1001_2 - c_0011_10 + c_0011_11 + 2*c_0011_3 + c_0110_10, c_0011_7*c_1001_2 + c_0011_7 + c_0101_2, c_0101_0*c_1001_2 + c_0101_2 + c_1001_0, c_0101_2*c_1001_2 + c_0011_7 - c_0101_2 - 3*c_1001_2 - 5, c_0110_10*c_1001_2 + c_0011_10 - 2*c_0011_11 - c_0110_10, c_0110_2*c_1001_2 - c_1001_0*c_1001_2 - c_0101_0 + c_0101_2 + c_0110_2 - c_1001_0 + c_1001_2 + 2, c_1001_2^2 - c_0011_7 + 2*c_0101_2 + 4*c_1001_2 + 4, c_0011_0 - 1, c_0011_4 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0110_10" ], [ "c_0110_10" ] ] 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 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.020 Status: Saturating ideal ( 1 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.010 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.040 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.040 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_2, c_0110_10, c_0110_2, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - c_1001_2^3 - 4*c_1001_2^2 - 10*c_1001_2 - 9, c_0011_11 - 2/3*c_1001_2^3 - 7/3*c_1001_2^2 - 16/3*c_1001_2 - 3, c_0011_3 - 2/3*c_1001_2^3 - 10/3*c_1001_2^2 - 25/3*c_1001_2 - 9, c_0011_4 - 1, c_0011_7 + 1/3*c_1001_2^3 + 5/3*c_1001_2^2 + 11/3*c_1001_2 + 3, c_0101_0 - 1/9*c_1001_0*c_1001_2^3 - 5/9*c_1001_0*c_1001_2^2 - 14/9*c_1001_0*c_1001_2 - 2*c_1001_0 + 1/3*c_1001_2^2 + 2/3*c_1001_2 + 2/3, c_0101_2 - 1/3*c_1001_2^3 - 2/3*c_1001_2^2 - 2/3*c_1001_2, c_0110_10 - 1, c_0110_2 + 1/3*c_1001_0*c_1001_2^2 + 2/3*c_1001_0*c_1001_2 + 2/3*c_1001_0 - 1/9*c_1001_2^3 - 5/9*c_1001_2^2 - 14/9*c_1001_2 - 2, c_1001_0^2 - 4/3*c_1001_0*c_1001_2^3 - 17/3*c_1001_0*c_1001_2^2 - 41/3*c_1001_0*c_1001_2 - 9*c_1001_0 - c_1001_2^3 - 3*c_1001_2^2 - 6*c_1001_2 + 1, c_1001_2^4 + 5*c_1001_2^3 + 14*c_1001_2^2 + 18*c_1001_2 + 9 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_2, c_0110_10, c_0110_2, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 4*c_1001_2^3 + 10*c_1001_2^2 + 17*c_1001_2 + 17, c_0011_11 + 2*c_1001_2^3 + 5*c_1001_2^2 + 8*c_1001_2 + 9, c_0011_3 + 5*c_1001_2^3 + 12*c_1001_2^2 + 21*c_1001_2 + 22, c_0011_4 - 1, c_0011_7 + 2*c_1001_2^3 + 5*c_1001_2^2 + 8*c_1001_2 + 8, c_0101_0 - 1/7*c_1001_0*c_1001_2^3 - 4/7*c_1001_0*c_1001_2^2 - 8/7*c_1001_0*c_1001_2 - 11/7*c_1001_0 + 6/7*c_1001_2^3 + 17/7*c_1001_2^2 + 27/7*c_1001_2 + 24/7, c_0101_2 + c_1001_2^3 + 3*c_1001_2^2 + 6*c_1001_2 + 6, c_0110_10 - 1, c_0110_2 + 6/7*c_1001_0*c_1001_2^3 + 17/7*c_1001_0*c_1001_2^2 + 27/7*c_1001_0*c_1001_2 + 24/7*c_1001_0 - 1/7*c_1001_2^3 - 4/7*c_1001_2^2 - 8/7*c_1001_2 - 11/7, c_1001_0^2 - 9*c_1001_0*c_1001_2^3 - 22*c_1001_0*c_1001_2^2 - 38*c_1001_0*c_1001_2 - 40*c_1001_0 - 13*c_1001_2^3 - 31*c_1001_2^2 - 53*c_1001_2 - 55, c_1001_2^4 + 4*c_1001_2^3 + 8*c_1001_2^2 + 11*c_1001_2 + 7 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 2.980 seconds, Total memory usage: 32.09MB