Magma V2.22-2 Sun Aug 9 2020 22:20:46 on zickert [Seed = 3134621630] Type ? for help. Type -D to quit. Loading file "ptolemy_data_link/16_tetrahedra/10_99__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_99 geometric_solution 14.33434452 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 2 0132 0132 0132 0213 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 -1 1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.223184169273 1.454761370331 0 4 6 5 0132 0132 0132 0132 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 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300283239879 0.275345117820 6 0 4 0 1230 0132 1230 0213 0 0 0 0 0 0 0 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 0 1 -1 -1 0 4 -3 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.223184169273 1.454761370331 5 7 7 0 0132 0132 0321 0132 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 -1 0 1 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338596741949 0.710987608182 8 1 8 2 0132 0132 3120 3012 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 0 0 1 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517118096021 0.875685483955 3 9 1 10 0132 0132 0132 0132 0 0 0 0 0 -1 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 0 0 0 0 0 -3 3 0 0 0 0 0 3 -4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649023722000 1.505980671668 10 2 11 1 0321 3012 0132 0132 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 3 0 -3 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 0.872207891273 1.247499530374 11 3 3 9 0132 0132 0321 1302 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 1 0 -1 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338596741949 0.710987608182 4 12 4 13 0132 0132 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517118096021 0.875685483955 12 5 7 13 2031 0132 2031 2031 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 0 3 -3 0 -1 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.376438177555 0.538411145340 6 14 5 14 0321 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545990685374 1.146474739387 7 12 14 6 0132 2031 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.241343675107 0.560008667819 11 8 9 15 1302 0132 1302 0132 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 0 0 1 -1 0 0 4 -4 0 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699716760121 0.275345117820 15 9 8 15 1230 1302 0132 0213 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 0 -1 0 -4 0 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338596741949 0.402700977238 10 10 15 11 3012 0132 1302 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298586464696 0.753997392275 14 13 12 13 2031 3012 0132 0213 0 0 0 0 0 0 0 0 0 0 1 -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 -1 1 0 0 0 4 -4 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.103033036626 0.671591009521 ==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_4' : d['c_0011_0'], 'c_1001_6' : d['c_0011_0'], 'c_0011_8' : - d['c_0011_0'], 'c_1010_11' : d['c_0011_0'], 'c_0011_12' : 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_5' : d['c_0101_0'], 'c_0110_0' : - d['c_0011_10'], 'c_0101_1' : - d['c_0011_10'], 'c_0110_2' : d['c_0011_10'], 'c_0110_6' : - d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], 'c_0110_10' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_14' : - d['c_0011_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : 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_1001_7' : d['c_1001_0'], 'c_1010_0' : d['c_0101_8'], 'c_1001_2' : d['c_0101_8'], 'c_1100_2' : d['c_0101_8'], 'c_1100_4' : - d['c_0101_8'], 'c_0110_4' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0101_2' : d['c_0101_2'], 'c_1001_1' : - d['c_0101_2'], 'c_1010_4' : - d['c_0101_2'], 'c_1010_6' : - d['c_0101_2'], 'c_1010_1' : d['c_0011_13'], 'c_1001_4' : d['c_0011_13'], 'c_1001_5' : d['c_0011_13'], 'c_1001_8' : - d['c_0011_13'], 'c_1010_9' : d['c_0011_13'], 'c_1010_12' : - d['c_0011_13'], 'c_0011_13' : d['c_0011_13'], 'c_1001_15' : - d['c_0011_13'], 'c_1100_1' : d['c_0110_14'], 'c_1100_6' : d['c_0110_14'], 'c_1100_5' : d['c_0110_14'], 'c_1100_10' : d['c_0110_14'], 'c_1100_11' : d['c_0110_14'], 'c_0110_14' : d['c_0110_14'], 'c_0011_3' : d['c_0011_11'], 'c_0011_5' : - d['c_0011_11'], 'c_0011_7' : - d['c_0011_11'], 'c_0011_9' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_12' : - d['c_0011_11'], 'c_0101_6' : - d['c_0101_10'], 'c_0101_3' : d['c_0101_10'], 'c_0110_5' : d['c_0101_10'], 'c_0101_7' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0110_11' : - d['c_0101_10'], 'c_1001_3' : d['c_0101_9'], 'c_1010_7' : d['c_0101_9'], 'c_1100_7' : d['c_0101_9'], 'c_1100_9' : - d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 'c_1100_12' : d['c_0101_9'], 'c_1010_13' : d['c_0101_9'], 'c_1100_15' : d['c_0101_9'], 'c_0101_4' : d['c_0101_13'], 'c_0110_8' : d['c_0101_13'], 'c_1100_8' : - d['c_0101_13'], 'c_0101_13' : d['c_0101_13'], 'c_1100_13' : - d['c_0101_13'], 'c_1010_15' : - d['c_0101_13'], 'c_0110_7' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_1010_5' : - d['c_0101_11'], 'c_1001_9' : - d['c_0101_11'], 'c_1001_10' : - d['c_0101_11'], 'c_1010_14' : - d['c_0101_11'], 'c_0110_9' : d['c_0110_9'], 'c_1010_8' : d['c_0110_9'], 'c_1001_12' : d['c_0110_9'], 'c_1001_13' : d['c_0110_9'], 'c_1010_10' : - d['c_0011_15'], 'c_1001_14' : - d['c_0011_15'], 'c_0101_14' : - d['c_0011_15'], 'c_0110_13' : d['c_0011_15'], 'c_0011_15' : d['c_0011_15'], 'c_0110_15' : - d['c_0011_15'], 'c_1001_11' : - d['c_0101_15'], 'c_0110_12' : d['c_0101_15'], 'c_1100_14' : d['c_0101_15'], 'c_0101_15' : d['c_0101_15'], 's_2_14' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_3_12' : d['1'], 's_2_11' : d['1'], 's_1_11' : d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_3_9' : d['1'], 's_0_9' : d['1'], 's_3_8' : d['1'], 's_1_8' : d['1'], 's_3_7' : d['1'], 's_0_7' : d['1'], 's_2_6' : d['1'], 's_0_6' : d['1'], 's_3_5' : d['1'], 's_1_5' : d['1'], 's_2_4' : d['1'], 's_0_4' : d['1'], 's_2_3' : 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_3_2' : d['1'], 's_1_4' : d['1'], 's_3_6' : d['1'], 's_2_5' : d['1'], 's_1_6' : d['1'], 's_3_4' : d['1'], 's_0_5' : d['1'], 's_1_7' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_2_8' : d['1'], 's_1_9' : d['1'], 's_2_10' : d['1'], 's_0_10' : d['1'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_9' : d['1'], 's_1_12' : d['1'], 's_2_13' : d['1'], 's_2_12' : d['1'], 's_1_13' : d['1'], 's_1_14' : d['1'], 's_0_14' : d['1'], 's_0_12' : d['1'], 's_3_14' : d['1'], 's_2_15' : d['1'], 's_1_15' : d['1'], 's_3_15' : d['1'], 's_0_15' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 794.300 Status: Saturating ideal ( 1 / 16 )... Time: 2.090 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 3.880 Status: Recomputing Groebner basis... Time: 2.490 Status: Saturating ideal ( 3 / 16 )... Time: 1.270 Status: Recomputing Groebner basis... Time: 0.940 Status: Saturating ideal ( 4 / 16 )... Time: 0.840 Status: Recomputing Groebner basis... Time: 0.480 Status: Saturating ideal ( 5 / 16 )... Time: 0.620 Status: Recomputing Groebner basis... Time: 0.250 Status: Saturating ideal ( 6 / 16 )... Time: 0.220 Status: Recomputing Groebner basis... Time: 0.110 Status: Saturating ideal ( 7 / 16 )... Time: 0.080 Status: Recomputing Groebner basis... Time: 0.090 Status: Saturating ideal ( 8 / 16 )... Time: 0.070 Status: Recomputing Groebner basis... Time: 0.060 Status: Saturating ideal ( 9 / 16 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 10 / 16 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 16 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 12 / 16 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 16 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 16 ] Status: Computing RadicalDecomposition Time: 0.170 Status: Number of components: 3 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 808.430 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_15, c_0101_0, c_0101_10, c_0101_11, c_0101_13, c_0101_15, c_0101_2, c_0101_8, c_0101_9, c_0110_14, c_0110_9, c_1001_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0110_9^2*c_1001_0 + c_0110_9*c_1001_0^2 - c_1001_0^3 + c_0110_9*c_1001_0 - 3*c_1001_0^2 - 3*c_1001_0 - 1, c_0101_15*c_0101_9 + c_1001_0^2, c_0101_9^2 - c_0110_9*c_1001_0 - 2*c_1001_0^2 + c_0101_9 - 2*c_1001_0, c_0101_15*c_0110_9 - c_0110_9*c_1001_0 + c_1001_0^2 + c_0101_9, c_0101_9*c_0110_9 - c_1001_0^2 - 2*c_1001_0 - 1, c_0101_15*c_1001_0 + c_0110_9*c_1001_0 + c_0101_15 - c_0101_9 + c_1001_0, c_0101_9*c_1001_0 - c_0110_9*c_1001_0 - c_1001_0^2 + c_0101_9 - c_1001_0, c_0011_0 - 1, c_0011_10 - c_1001_0 - 1, c_0011_11 + c_0110_9 - c_1001_0, c_0011_13 + c_1001_0, c_0011_15 - c_1001_0, c_0101_0 - c_0101_15, c_0101_10 + c_0110_9, c_0101_11 - c_0101_9, c_0101_13 - c_1001_0 - 1, c_0101_2 - c_0101_9, c_0101_8 - c_0101_9, c_0110_14 + c_1001_0 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_15, c_0101_0, c_0101_10, c_0101_11, c_0101_13, c_0101_15, c_0101_2, c_0101_8, c_0101_9, c_0110_14, c_0110_9, c_1001_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_15*c_0101_9 + c_0110_9 - 1, c_0101_9^2 + c_0110_14*c_0110_9 - c_0110_9, c_0101_15*c_0110_14 - c_0101_15 - c_0101_9 + c_0110_9 - 1, c_0101_15*c_0110_9 + 1, c_0101_9*c_0110_9 - c_0101_9 + c_0110_14 - 1, c_0110_9^2 - c_0101_9 - c_0110_9, c_0011_0 - 1, c_0011_10 - c_0110_9, c_0011_11 + 1, c_0011_13 + c_0101_9 - 1, c_0011_15 - 1, c_0101_0 - c_0101_15, c_0101_10 + c_0110_9, c_0101_11 + c_0110_14 - 1, c_0101_13 - c_0110_9, c_0101_2 + c_0110_14 - 1, c_0101_8 - c_0101_9, c_1001_0 - 1 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_15, c_0101_0, c_0101_10, c_0101_11, c_0101_13, c_0101_15, c_0101_2, c_0101_8, c_0101_9, c_0110_14, c_0110_9, c_1001_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_15*c_1001_0 + c_0101_15 + 1, c_0011_0 - 1, c_0011_10 - c_1001_0 - 1, c_0011_11 + 1, c_0011_13 + c_1001_0, c_0011_15 - 1, c_0101_0 - c_0101_15 + c_1001_0 - 1, c_0101_10 + c_1001_0 + 1, c_0101_11 - c_1001_0 - 1, c_0101_13 - c_1001_0 - 1, c_0101_2 - c_1001_0 - 1, c_0101_8 - c_1001_0 - 1, c_0101_9 - c_1001_0 - 1, c_0110_14 + c_1001_0, c_0110_9 - c_1001_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_0" ], [ "c_0110_14" ], [ "c_1001_0" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 16 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 16 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 2 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 16 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: -1 Status: Testing witness [ 1 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 16 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 2 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 16 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 15 / 16 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 16 / 16 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 2 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.010 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.010 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_15, c_0101_0, c_0101_10, c_0101_11, c_0101_13, c_0101_15, c_0101_2, c_0101_8, c_0101_9, c_0110_14, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 3, c_0011_11 + c_0110_9 - 2, c_0011_13 + 2, c_0011_15 - 2, c_0101_0 + 4/9*c_0110_9, c_0101_10 + c_0110_9, c_0101_11 - 2/3*c_0110_9 - 2, c_0101_13 - 3, c_0101_15 + 4/9*c_0110_9, c_0101_2 - 2/3*c_0110_9 - 2, c_0101_8 - 2/3*c_0110_9 - 2, c_0101_9 - 2/3*c_0110_9 - 2, c_0110_14 + 2, c_0110_9^2 + 3*c_0110_9 - 27/2, c_1001_0 - 2 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_15, c_0101_0, c_0101_10, c_0101_11, c_0101_13, c_0101_15, c_0101_2, c_0101_8, c_0101_9, c_0110_14, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - c_0110_9, c_0011_11 + 1, c_0011_13 + c_0110_9^2 - c_0110_9 - 1, c_0011_15 - 1, c_0101_0 - c_0110_9^2 + 2*c_0110_9 - 1, c_0101_10 + c_0110_9, c_0101_11 + 1, c_0101_13 - c_0110_9, c_0101_15 - c_0110_9^2 + 2*c_0110_9 - 1, c_0101_2 + 1, c_0101_8 - c_0110_9^2 + c_0110_9, c_0101_9 - c_0110_9^2 + c_0110_9, c_0110_14 - 2, c_0110_9^3 - 2*c_0110_9^2 + c_0110_9 + 1, c_1001_0 - 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_15, c_0101_0, c_0101_10, c_0101_11, c_0101_13, c_0101_15, c_0101_2, c_0101_8, c_0101_9, c_0110_14, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 3, c_0011_11 + 1, c_0011_13 + 2, c_0011_15 - 1, c_0101_0 + 4/3, c_0101_10 + 3, c_0101_11 - 3, c_0101_13 - 3, c_0101_15 + 1/3, c_0101_2 - 3, c_0101_8 - 3, c_0101_9 - 3, c_0110_14 + 2, c_0110_9 - 3, c_1001_0 - 2 ] ==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== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 809.190 seconds, Total memory usage: 2186.56MB