Magma V2.22-2 Sun Aug 9 2020 22:20:03 on zickert [Seed = 1244034963] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L14n29449__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n29449 degenerate_solution 6.55174345 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 1 1 0 -1 0 1 1 0 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 -5 0 5 5 0 0 -5 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679100573577 0.175783488316 0 5 5 2 0132 0132 0321 3012 1 1 1 1 0 0 0 0 -1 0 0 1 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 -1 0 1 -5 0 0 5 4 0 0 -4 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550919524158 0.595835399388 4 0 1 3 1023 0132 1230 3012 1 1 1 1 0 1 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 -4 0 4 0 4 -4 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.796321905760 2.383341582673 6 7 2 0 0132 0132 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756570460135 0.803418990428 8 2 0 5 0132 1023 0132 0213 1 1 1 1 0 1 -1 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 4 -5 1 0 0 5 -5 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550919524441 0.595835402924 8 1 1 4 3201 0132 0321 0213 1 1 1 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 1 0 -1 0 0 4 -4 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550919523592 0.595835392315 3 9 10 7 0132 0132 0132 1302 0 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 2 -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 -0.873888865697 0.377442726688 9 3 6 10 0132 0132 2031 2310 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 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.873888865697 0.377442726688 4 8 8 5 0132 3201 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694199764674 0.761354385074 7 6 12 11 0132 0132 0132 0132 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 0 0 0 0 0 0 0 -2 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 0.999999999249 0.000000005432 7 11 12 6 3201 0321 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -26167962.245480548590 365228875.142396390438 12 12 9 10 1023 1023 0132 0321 0 0 1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.000000000000 0.000000000004 11 11 10 9 1023 1023 0321 0132 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -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 -1.000000000000 0.000000000004 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : - d['c_0011_0'], 'c_0011_8' : d['c_0011_0'], 'c_1100_8' : 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_1100_2' : d['c_0101_0'], 'c_1001_3' : - d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_1010_7' : - d['c_0101_0'], 'c_0110_10' : 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_0101_5' : - d['c_0101_1'], 'c_0110_8' : d['c_0101_1'], 'c_1001_0' : - d['c_0101_3'], 'c_1010_2' : - d['c_0101_3'], 'c_1010_3' : - d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1001_7' : - d['c_0101_3'], 'c_1100_1' : - d['c_0101_2'], 'c_1010_1' : - d['c_0101_2'], 'c_1001_5' : - d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_1010_0' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_0110_2' : d['c_0110_2'], 'c_1010_4' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_4' : d['c_0110_2'], 'c_1001_1' : d['c_0110_2'], 'c_1010_5' : d['c_0110_2'], 'c_1100_5' : d['c_0110_2'], 'c_0011_3' : d['c_0011_3'], 'c_0011_6' : - d['c_0011_3'], 'c_0011_7' : - d['c_0011_3'], 'c_0011_9' : d['c_0011_3'], 'c_1001_8' : - d['c_0101_8'], 'c_0110_4' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0110_5' : - d['c_0101_8'], 'c_1010_8' : d['c_0101_8'], 'c_1001_6' : - d['c_0101_10'], 'c_1010_9' : - d['c_0101_10'], 'c_1010_10' : - d['c_0101_10'], 'c_1001_11' : - d['c_0101_10'], 'c_1010_11' : - d['c_0101_10'], 'c_0110_7' : - d['c_0101_10'], 'c_0101_9' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0110_12' : - d['c_0101_10'], 'c_0101_12' : - d['c_0101_10'], 'c_1010_6' : - d['c_0011_10'], 'c_1001_9' : - d['c_0011_10'], 'c_1100_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1010_12' : - d['c_0011_10'], 'c_0110_11' : - d['c_0011_10'], 'c_1100_6' : d['c_0101_11'], 'c_1100_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_11'], 'c_0110_9' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1001_12' : d['c_0101_11'], 'c_1001_10' : d['c_1001_10'], 'c_1100_9' : d['c_1001_10'], 'c_1100_12' : d['c_1001_10'], 'c_1100_11' : d['c_1001_10'], 'c_0011_11' : d['c_0011_11'], 'c_0011_12' : d['c_0011_11'], 's_1_11' : d['1'], 's_0_11' : d['1'], 's_2_10' : d['1'], 's_1_10' : - d['1'], 's_3_9' : - d['1'], 's_2_9' : d['1'], 's_1_8' : d['1'], 's_3_7' : d['1'], 's_0_7' : d['1'], 's_3_6' : d['1'], 's_2_6' : - d['1'], 's_1_6' : - d['1'], 's_0_5' : - d['1'], 's_3_4' : d['1'], 's_0_4' : - d['1'], 's_1_3' : d['1'], 's_0_3' : d['1'], 's_3_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_2_5' : d['1'], 's_2_2' : d['1'], 's_1_4' : d['1'], 's_2_3' : d['1'], 's_0_6' : d['1'], 's_1_7' : d['1'], 's_0_8' : - d['1'], 's_3_5' : d['1'], 's_3_8' : - d['1'], 's_1_9' : - d['1'], 's_3_10' : - d['1'], 's_2_7' : d['1'], 's_0_9' : d['1'], 's_0_10' : d['1'], 's_2_8' : d['1'], 's_3_12' : d['1'], 's_2_11' : - d['1'], 's_3_11' : - d['1'], 's_2_12' : d['1'], 's_1_12' : d['1'], 's_0_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.070 Status: Saturating ideal ( 1 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 4 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.020 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: 0.020 Status: Saturating ideal ( 7 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.030 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: 0.020 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 [ 13 ] Status: Computing RadicalDecomposition Time: 0.070 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.850 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_0110_2, c_1001_10 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_11^2*c_0101_8*c_0110_2 - c_0101_11^2*c_0110_2 + c_0101_11*c_0101_8*c_0110_2 - 2*c_0101_11*c_0110_2^2 + 4/11*c_0101_0*c_0101_8*c_1001_10 + 6/11*c_0101_0*c_0110_2*c_1001_10 - 3/11*c_0101_1*c_0110_2*c_1001_10 - 5/11*c_0101_8*c_0110_2*c_1001_10 - 7/11*c_0110_2^2*c_1001_10 - c_0101_0*c_0101_11 + c_0101_11^2 - c_0101_11*c_0101_2 - c_0101_11*c_0101_8 - c_0101_11*c_0110_2 + c_0101_8*c_0110_2 + 3/11*c_0011_10*c_1001_10 - 13/11*c_0101_0*c_1001_10 - 2/11*c_0101_1*c_1001_10 + 3/11*c_0101_11*c_1001_10 - 8/11*c_0101_2*c_1001_10 + 8/11*c_0101_3*c_1001_10 + 14/11*c_0110_2*c_1001_10 - c_0110_2 + 4/11*c_1001_10 + 1, c_0101_11^2*c_0110_2^2 + c_0101_11^2*c_0101_8 + c_0101_1*c_0101_11*c_0110_2 + c_0101_11^2*c_0110_2 + c_0101_11*c_0101_2*c_0110_2 + 2*c_0101_11*c_0110_2^2 - 6/11*c_0101_0*c_0101_8*c_1001_10 - 9/11*c_0101_0*c_0110_2*c_1001_10 - 1/11*c_0101_1*c_0110_2*c_1001_10 + 2/11*c_0101_8*c_0110_2*c_1001_10 + 5/11*c_0110_2^2*c_1001_10 + c_0101_0*c_0101_11 + 2*c_0101_11*c_0101_8 + c_0110_2^2 + 1/11*c_0011_10*c_1001_10 + 3/11*c_0101_0*c_1001_10 + 3/11*c_0101_1*c_1001_10 + 1/11*c_0101_11*c_1001_10 + 1/11*c_0101_2*c_1001_10 - 1/11*c_0101_3*c_1001_10 + 1/11*c_0110_2*c_1001_10 + c_0101_8 + c_0110_2 + 5/11*c_1001_10, c_0101_0*c_0101_11^2 + c_0101_0*c_0110_2*c_1001_10 - c_0110_2^2*c_1001_10 - c_0101_11*c_0101_3 - c_0011_10*c_1001_10 - 2*c_0101_1*c_1001_10 - c_0101_11*c_1001_10 + c_0101_0, c_0101_1*c_0101_11^2 - c_0101_11^2*c_0101_8 - 2*c_0101_1*c_0101_11*c_0110_2 - 2*c_0101_11^2*c_0110_2 - c_0101_11*c_0101_2*c_0110_2 - c_0101_11*c_0101_8*c_0110_2 - 3*c_0101_11*c_0110_2^2 + c_0101_0*c_0101_8*c_1001_10 + c_0101_0*c_0110_2*c_1001_10 + c_0101_2*c_0110_2*c_1001_10 - c_0101_8*c_0110_2*c_1001_10 - 2*c_0110_2^2*c_1001_10 - 2*c_0101_0*c_0101_11 - c_0101_11*c_0101_2 + c_0101_11*c_0101_3 - 3*c_0101_11*c_0101_8 + c_0101_11*c_0110_2 + c_0011_10*c_1001_10 - 2*c_0101_0*c_1001_10 + c_0101_11*c_1001_10 - c_0101_2*c_1001_10 + c_0101_3*c_1001_10 - c_0101_8*c_1001_10 + c_0110_2*c_1001_10 + c_0101_1 - c_0101_8 - 2*c_0110_2, c_0101_11^3 + c_0101_11^2*c_0101_8 + 2*c_0101_1*c_0101_11*c_0110_2 + 2*c_0101_11^2*c_0110_2 + c_0101_11*c_0101_2*c_0110_2 + c_0101_11*c_0101_8*c_0110_2 + 3*c_0101_11*c_0110_2^2 - c_0101_0*c_0101_11*c_1001_10 - c_0101_0*c_0101_8*c_1001_10 - 2*c_0101_0*c_0110_2*c_1001_10 + 2*c_0101_0*c_0101_11 - c_0101_11*c_0101_3 + 3*c_0101_11*c_0101_8 - c_0101_11*c_0110_2 - c_0101_3*c_1001_10 + c_0011_10 + c_0101_11 + c_0101_8 + 2*c_0110_2, c_0101_11^2*c_0101_2 - c_0101_0*c_0110_2*c_1001_10 - c_0101_8*c_0110_2*c_1001_10 - 2*c_0110_2^2*c_1001_10 - c_0101_1*c_0101_11 - c_0101_11^2 + c_0101_11*c_0101_2 + c_0011_10*c_1001_10 + c_0101_11*c_1001_10 - c_0101_2*c_1001_10 - c_0101_8*c_1001_10 + c_0110_2*c_1001_10 + c_0101_2 - 1, c_0101_11^2*c_0101_3 + c_0101_0*c_0110_2*c_1001_10 - c_0101_0*c_0101_11 - c_0101_11*c_0110_2 - c_0011_10*c_1001_10 - c_0101_1*c_1001_10 - c_0101_11*c_1001_10 - c_0101_2*c_1001_10 + c_0101_3, c_0101_0*c_0101_11*c_0101_8 + c_0101_11^2*c_0101_8 + c_0101_1*c_0101_11*c_0110_2 + c_0101_11^2*c_0110_2 + c_0101_11*c_0101_2*c_0110_2 - c_0101_0*c_0101_8*c_1001_10 - c_0101_0*c_0110_2*c_1001_10 + c_0101_0*c_0101_11 + 2*c_0101_11*c_0101_8 + c_0101_8 + c_0110_2, c_0101_0*c_0101_11*c_0110_2 + c_0101_1*c_0101_11*c_0110_2 + c_0101_11^2*c_0110_2 + c_0101_11*c_0101_8*c_0110_2 + 2*c_0101_11*c_0110_2^2 - c_0101_0*c_0110_2*c_1001_10 + c_0101_0*c_0101_11 - c_0101_11^2 + c_0101_11*c_0101_2 - c_0101_11*c_0101_3 + c_0101_11*c_0101_8 - c_0101_11*c_0110_2 + c_0101_0*c_1001_10 + c_0110_2 - 1, c_0101_0*c_0101_8*c_0110_2 + 4/11*c_0101_0*c_0101_8 - 5/11*c_0101_0*c_0110_2 - 3/11*c_0101_1*c_0110_2 - 5/11*c_0101_8*c_0110_2 - 7/11*c_0110_2^2 + 3/11*c_0011_10 - 2/11*c_0101_0 - 2/11*c_0101_1 + 3/11*c_0101_11 - 8/11*c_0101_2 + 8/11*c_0101_3 + 14/11*c_0110_2 + 4/11, c_0101_0*c_0110_2^2 + 5/11*c_0101_0*c_0101_8 + 2/11*c_0101_0*c_0110_2 - 1/11*c_0101_1*c_0110_2 + 2/11*c_0101_8*c_0110_2 + 5/11*c_0110_2^2 + 1/11*c_0011_10 + 3/11*c_0101_0 + 3/11*c_0101_1 + 1/11*c_0101_11 + 1/11*c_0101_2 - 1/11*c_0101_3 + 1/11*c_0110_2 + 5/11, c_0101_1*c_0110_2^2 + 5/11*c_0101_0*c_0101_8 + 2/11*c_0101_0*c_0110_2 - 1/11*c_0101_1*c_0110_2 + 2/11*c_0101_8*c_0110_2 - 17/11*c_0110_2^2 + 1/11*c_0011_10 + 3/11*c_0101_0 + 3/11*c_0101_1 + 1/11*c_0101_11 + 1/11*c_0101_2 - 1/11*c_0101_3 + 1/11*c_0110_2 - 6/11, c_0101_2*c_0110_2^2 + 2/11*c_0101_0*c_0101_8 + 3/11*c_0101_0*c_0110_2 - 7/11*c_0101_1*c_0110_2 + 3/11*c_0101_8*c_0110_2 + 2/11*c_0110_2^2 - 4/11*c_0011_10 - 1/11*c_0101_0 - 1/11*c_0101_1 - 4/11*c_0101_11 + 7/11*c_0101_2 + 4/11*c_0101_3 + 7/11*c_0110_2 + 2/11, c_0101_8*c_0110_2^2 + 5/11*c_0101_0*c_0101_8 + 2/11*c_0101_0*c_0110_2 - 1/11*c_0101_1*c_0110_2 + c_0101_2*c_0110_2 + 2/11*c_0101_8*c_0110_2 - 6/11*c_0110_2^2 + 1/11*c_0011_10 + 3/11*c_0101_0 + 3/11*c_0101_1 + 1/11*c_0101_11 + 1/11*c_0101_2 - 1/11*c_0101_3 + c_0101_8 + 1/11*c_0110_2 - 6/11, c_0110_2^3 - 2/11*c_0101_0*c_0101_8 + 8/11*c_0101_0*c_0110_2 + 7/11*c_0101_1*c_0110_2 + 8/11*c_0101_8*c_0110_2 + 9/11*c_0110_2^2 - 7/11*c_0011_10 + 1/11*c_0101_0 + 1/11*c_0101_1 - 7/11*c_0101_11 + 4/11*c_0101_2 - 4/11*c_0101_3 - 7/11*c_0110_2 - 2/11, c_0011_10^2 + c_0101_11^2 - c_0101_0*c_0101_8 - c_0101_0*c_0110_2 + c_0110_2^2 - 2*c_0101_0*c_1001_10 + c_0011_10 + c_0101_11 - c_0101_2 + 1, c_0011_10*c_0101_0 + c_0101_0*c_0101_11 - c_0101_3, c_0101_0^2 + c_0101_0*c_0110_2 - c_0110_2^2 - c_0011_10 - 2*c_0101_1 - c_0101_11, c_0011_10*c_0101_1 + c_0101_1*c_0101_11 + c_0101_0*c_0101_8 + c_0101_0*c_0110_2 - c_0110_2^2 - c_0011_10 - c_0101_11, c_0101_0*c_0101_1 - c_0101_0*c_0110_2 + c_0101_2*c_0110_2 - c_0101_8*c_0110_2 - 2*c_0110_2^2 + c_0011_10 - 2*c_0101_0 + c_0101_11 - c_0101_2 + c_0101_3 - c_0101_8 + c_0110_2, c_0101_1^2 - c_0101_0*c_0101_8 - 2*c_0101_1 + 1, c_0011_10*c_0101_11 + c_0101_0*c_1001_10 - 1, c_0011_10*c_0101_2 + c_0101_11*c_0101_2 - c_0011_10 - c_0101_1 - c_0101_11 + c_0101_2, c_0101_0*c_0101_2 - c_0101_0*c_0110_2 - c_0101_8*c_0110_2 - 2*c_0110_2^2 + c_0011_10 - c_0101_0 + c_0101_11 - c_0101_2 - c_0101_8 + c_0110_2, c_0101_1*c_0101_2 + c_0101_0*c_0110_2 - c_0101_2, c_0101_2^2 - c_0110_2^2 - c_0101_1, c_0011_10*c_0101_3 + c_0101_11*c_0101_3 - c_0101_0 - c_0110_2, c_0101_0*c_0101_3 + c_0101_0*c_0110_2 - c_0011_10 - c_0101_1 - c_0101_11 - c_0101_2, c_0101_1*c_0101_3 - c_0101_0*c_0110_2 - c_0101_8*c_0110_2 - 2*c_0110_2^2 + c_0011_10 - c_0101_0 + c_0101_11 - c_0101_2 - c_0101_8 + 2*c_0110_2, c_0101_2*c_0101_3 + c_0101_2*c_0110_2 - c_0101_0, c_0101_3^2 - c_0110_2^2 - c_0011_10 - 2*c_0101_1 - c_0101_11, c_0011_10*c_0101_8 + c_0101_0*c_0101_8 + c_0101_11*c_0101_8 - c_0101_0*c_0110_2 + c_0101_2*c_0110_2 - c_0101_8*c_0110_2 - 2*c_0110_2^2 + c_0011_10 + c_0101_11 - c_0101_2 + c_0101_3 + c_0101_8 + c_0110_2, c_0101_1*c_0101_8 - c_0101_2*c_0110_2 + c_0110_2^2 - c_0101_8 + 1, c_0101_2*c_0101_8 + c_0101_1*c_0110_2 - c_0110_2, c_0101_3*c_0101_8 + c_0101_0*c_0110_2 - c_0101_1*c_0110_2 + c_0101_8*c_0110_2 + c_0101_2 + c_0110_2, c_0101_8^2 - c_0101_2*c_0110_2 + c_0110_2^2 - c_0101_8, c_0011_10*c_0110_2 + c_0101_0*c_0110_2 + c_0101_1*c_0110_2 + c_0101_11*c_0110_2 + c_0101_8*c_0110_2 + 2*c_0110_2^2 - c_0011_10 + c_0101_0 - c_0101_11 + c_0101_2 - c_0101_3 + c_0101_8 - c_0110_2, c_0101_3*c_0110_2 + c_0110_2^2 + c_0101_1 - 1, c_0011_11*c_1001_10 + c_0011_10 + c_0101_11, c_0011_0 - 1, c_0011_3 + c_0101_0, c_0101_10 + 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_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 / 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: 0.010 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: 0.010 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: 0.000 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: 0.020 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: 0.020 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: 0.360 ==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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_8, c_0110_2, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + c_0101_11 - 18470298/952433*c_0110_2^13 + 6945692/952433*c_0110_2^12 - 44583297/952433*c_0110_2^11 + 23262231/952433*c_0110_2^10 - 37449792/952433*c_0110_2^9 + 6671953/952433*c_0110_2^8 + 14107568/952433*c_0110_2^7 - 11212932/952433*c_0110_2^6 + 24136856/952433*c_0110_2^5 - 9532843/952433*c_0110_2^4 + 14565139/952433*c_0110_2^3 - 8494228/952433*c_0110_2^2 + 3227868/952433*c_0110_2 - 3203225/952433, c_0011_11 + 18470298/952433*c_0110_2^13 - 6945692/952433*c_0110_2^12 + 44583297/952433*c_0110_2^11 - 23262231/952433*c_0110_2^10 + 37449792/952433*c_0110_2^9 - 6671953/952433*c_0110_2^8 - 14107568/952433*c_0110_2^7 + 11212932/952433*c_0110_2^6 - 24136856/952433*c_0110_2^5 + 9532843/952433*c_0110_2^4 - 14565139/952433*c_0110_2^3 + 8494228/952433*c_0110_2^2 - 3227868/952433*c_0110_2 + 3203225/952433, c_0011_3 + 19705004/952433*c_0110_2^13 + 7901909/952433*c_0110_2^12 + 56340806/952433*c_0110_2^11 + 14227430/952433*c_0110_2^10 + 59175449/952433*c_0110_2^9 + 26928713/952433*c_0110_2^8 + 16347316/952433*c_0110_2^7 + 18296038/952433*c_0110_2^6 - 12855674/952433*c_0110_2^5 + 7916265/952433*c_0110_2^4 - 17062140/952433*c_0110_2^3 + 1238339/952433*c_0110_2^2 - 5826836/952433*c_0110_2 + 1356750/952433, c_0101_0 - 19705004/952433*c_0110_2^13 - 7901909/952433*c_0110_2^12 - 56340806/952433*c_0110_2^11 - 14227430/952433*c_0110_2^10 - 59175449/952433*c_0110_2^9 - 26928713/952433*c_0110_2^8 - 16347316/952433*c_0110_2^7 - 18296038/952433*c_0110_2^6 + 12855674/952433*c_0110_2^5 - 7916265/952433*c_0110_2^4 + 17062140/952433*c_0110_2^3 - 1238339/952433*c_0110_2^2 + 5826836/952433*c_0110_2 - 1356750/952433, c_0101_1 - 19705004/952433*c_0110_2^13 - 18378672/952433*c_0110_2^12 - 61102971/952433*c_0110_2^11 - 48515018/952433*c_0110_2^10 - 72509511/952433*c_0110_2^9 - 71693064/952433*c_0110_2^8 - 43015440/952433*c_0110_2^7 - 43059296/952433*c_0110_2^6 - 11907584/952433*c_0110_2^5 - 10773564/952433*c_0110_2^4 + 5632944/952433*c_0110_2^3 + 5428692/952433*c_0110_2^2 + 3921970/952433*c_0110_2 + 1500549/952433, c_0101_10 + 1, c_0101_11^2 - 18470298/952433*c_0101_11*c_0110_2^13 + 6945692/952433*c_0101_11*c_0110_2^12 - 44583297/952433*c_0101_11*c_0110_2^11 + 23262231/952433*c_0101_11*c_0110_2^10 - 37449792/952433*c_0101_11*c_0110_2^9 + 6671953/952433*c_0101_11*c_0110_2^8 + 14107568/952433*c_0101_11*c_0110_2^7 - 11212932/952433*c_0101_11*c_0110_2^6 + 24136856/952433*c_0101_11*c_0110_2^5 - 9532843/952433*c_0101_11*c_0110_2^4 + 14565139/952433*c_0101_11*c_0110_2^3 - 8494228/952433*c_0101_11*c_0110_2^2 + 3227868/952433*c_0101_11*c_0110_2 - 3203225/952433*c_0101_11 - 19705004/952433*c_0110_2^13 - 7901909/952433*c_0110_2^12 - 56340806/952433*c_0110_2^11 - 14227430/952433*c_0110_2^10 - 59175449/952433*c_0110_2^9 - 26928713/952433*c_0110_2^8 - 16347316/952433*c_0110_2^7 - 18296038/952433*c_0110_2^6 + 12855674/952433*c_0110_2^5 - 7916265/952433*c_0110_2^4 + 17062140/952433*c_0110_2^3 - 1238339/952433*c_0110_2^2 + 5826836/952433*c_0110_2 - 404317/952433, c_0101_2 - 25381576/952433*c_0110_2^13 - 2911485/952433*c_0110_2^12 - 70666131/952433*c_0110_2^11 - 4933416/952433*c_0110_2^10 - 73418804/952433*c_0110_2^9 - 30412277/952433*c_0110_2^8 - 12603168/952433*c_0110_2^7 - 33736353/952433*c_0110_2^6 + 15000839/952433*c_0110_2^5 - 14483320/952433*c_0110_2^4 + 16210287/952433*c_0110_2^3 - 4825860/952433*c_0110_2^2 + 5202627/952433*c_0110_2 - 1767178/952433, c_0101_3 - 26982802/952433*c_0110_2^13 + 7440094/952433*c_0110_2^12 - 69928680/952433*c_0110_2^11 + 26761223/952433*c_0110_2^10 - 66775136/952433*c_0110_2^9 + 3826015/952433*c_0110_2^8 + 7915532/952433*c_0110_2^7 - 20762092/952433*c_0110_2^6 + 35700350/952433*c_0110_2^5 - 17528200/952433*c_0110_2^4 + 27944438/952433*c_0110_2^3 - 10538908/952433*c_0110_2^2 + 7788651/952433*c_0110_2 - 3921970/952433, c_0101_8 - 4717108/952433*c_0110_2^13 - 4767893/952433*c_0110_2^12 - 12870117/952433*c_0110_2^11 - 14824142/952433*c_0110_2^10 - 14318484/952433*c_0110_2^9 - 24701239/952433*c_0110_2^8 - 10162139/952433*c_0110_2^7 - 14253535/952433*c_0110_2^6 - 7846066/952433*c_0110_2^5 - 238657/952433*c_0110_2^4 - 1848306/952433*c_0110_2^3 + 4007983/952433*c_0110_2^2 + 404642/952433*c_0110_2 + 1689407/952433, c_0110_2^14 + 5/11*c_0110_2^13 + 36/11*c_0110_2^12 + 14/11*c_0110_2^11 + 47/11*c_0110_2^10 + 28/11*c_0110_2^9 + 26/11*c_0110_2^8 + 26/11*c_0110_2^7 + 3/11*c_0110_2^6 + 12/11*c_0110_2^5 - 7/11*c_0110_2^4 + 2/11*c_0110_2^3 - 5/11*c_0110_2^2 - 1/11, c_1001_10 - 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS==