Magma V2.22-2 Sun Aug 9 2020 22:20:00 on zickert [Seed = 1244006288] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L13n9577__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9577 degenerate_solution 8.99735206 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 2 0132 0132 2031 1230 0 0 1 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 1 2 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999973294 1.322875653564 0 3 3 0 0132 0132 1302 1302 0 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749999990635 0.661437818196 0 0 3 4 3012 0132 0132 0132 0 0 0 1 0 1 -1 0 -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 1 -1 0 0 0 -1 1 1 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000010666 0.661437819672 1 1 5 2 2031 0132 0132 0132 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 0 -1 1 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249999989334 0.661437835861 6 7 2 5 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.500000020708 1.322875636191 7 8 4 3 3201 0132 0132 0132 0 0 0 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 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 -0.499999979290 1.322875674873 4 9 10 8 0132 0132 0132 1302 2 0 0 2 0 0 0 0 -1 0 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 -1 0 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 -89535811.078900858760 653300902.680931687355 9 4 11 5 0132 0132 0132 2310 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 -0.000000000215 0.000000000727 11 5 6 12 2310 0132 2031 0132 0 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 0 1 -1 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 -89535832.295296564698 653300899.336618304253 7 6 10 12 0132 0132 3201 1230 2 2 2 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 -2 2 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 1.000000006305 1.000000003282 9 11 12 6 2310 3012 2031 0132 2 0 2 2 0 0 0 0 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999990183 1.000000003184 10 12 8 7 1230 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999987229 0.999999993206 9 11 8 10 3012 0132 0132 1302 0 2 2 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 0 0 0 0 0 0 0 -2 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 1.000000016283 1.000000000328 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0110_0' : - d['c_0011_0'], 'c_0101_1' : - 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_3' : d['c_0011_0'], 'c_1001_0' : - d['c_0101_0'], 'c_1010_2' : - d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_1' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_1001_4' : - d['c_0101_0'], 'c_0110_5' : d['c_0101_0'], 'c_1010_7' : - d['c_0101_0'], 'c_1010_0' : d['c_0101_2'], 'c_1001_2' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1010_3' : d['c_0101_2'], 'c_0110_3' : d['c_0101_2'], 'c_1100_0' : d['c_0101_4'], 'c_1010_1' : - d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_1001_3' : - d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_1010_5' : - d['c_0101_4'], 'c_0110_6' : d['c_0101_4'], 'c_1001_8' : - d['c_0101_4'], 'c_1100_2' : d['c_1100_2'], 'c_1100_3' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_5' : d['c_1100_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : - d['c_0011_4'], 'c_0011_7' : - d['c_0011_4'], 'c_0011_9' : d['c_0011_4'], 'c_0110_4' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0110_7' : - d['c_0101_5'], 'c_0110_10' : d['c_0101_5'], 'c_0101_9' : - d['c_0101_5'], 'c_1010_4' : d['c_1001_12'], 'c_1001_7' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1010_8' : d['c_1001_12'], 'c_1010_11' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_0011_5' : d['c_0011_5'], 'c_1100_7' : d['c_0011_5'], 'c_0011_8' : - d['c_0011_5'], 'c_1100_11' : d['c_0011_5'], 'c_1001_6' : - d['c_0101_11'], 'c_1010_9' : - d['c_0101_11'], 'c_1010_10' : - d['c_0101_11'], 'c_0110_8' : - d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_12' : - d['c_0101_11'], 'c_1010_6' : - d['c_0101_10'], 'c_1001_9' : - d['c_0101_10'], 'c_1100_8' : d['c_0101_10'], 'c_1100_12' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1100_6' : d['c_0101_8'], 'c_1100_10' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_1001_11' : - d['c_0101_8'], 'c_1010_12' : - d['c_0101_8'], 'c_1001_10' : d['c_0011_10'], 'c_0011_11' : - d['c_0011_10'], 'c_1100_9' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0110_12' : - d['c_0011_10'], 'c_0101_7' : d['c_0011_10'], 'c_0110_9' : d['c_0011_10'], 'c_0110_11' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 's_1_11' : d['1'], 's_2_10' : d['1'], 's_1_10' : - d['1'], 's_3_9' : d['1'], 's_2_9' : d['1'], 's_3_8' : d['1'], 's_0_8' : d['1'], 's_2_7' : - d['1'], 's_0_7' : d['1'], 's_3_6' : d['1'], 's_2_6' : - d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : - d['1'], 's_0_4' : - d['1'], 's_2_3' : d['1'], 's_3_2' : d['1'], 's_2_2' : 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_1' : d['1'], 's_0_2' : d['1'], 's_1_3' : d['1'], 's_0_3' : d['1'], 's_3_3' : d['1'], 's_2_4' : d['1'], 's_3_5' : d['1'], 's_0_6' : - d['1'], 's_1_7' : - d['1'], 's_2_5' : d['1'], 's_3_7' : d['1'], 's_1_8' : d['1'], 's_1_9' : d['1'], 's_3_10' : - d['1'], 's_2_8' : d['1'], 's_0_9' : d['1'], 's_3_11' : - d['1'], 's_2_11' : d['1'], 's_2_12' : d['1'], 's_0_10' : d['1'], 's_0_12' : d['1'], 's_0_11' : - d['1'], 's_3_12' : d['1'], 's_1_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.050 Status: Saturating ideal ( 1 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.040 Status: Saturating ideal ( 3 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.030 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: 0.040 Status: Recomputing Groebner basis... Time: 0.040 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.030 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 [ 7 ] Status: Computing RadicalDecomposition Time: 0.150 Status: Number of components: 2 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.870 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_4, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_5, c_0101_8, c_1001_12, c_1100_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_10^3 + c_0011_10^2*c_0101_11 - c_0101_11^3, c_0101_11^2*c_0101_8 - c_0011_10^2*c_1001_12 + c_0011_10*c_0101_11*c_1001_12 + c_0101_11^2*c_1001_12 - c_0011_10^2 + c_0101_11^2, c_0101_11^2*c_1100_2 - c_0011_10^2 - c_0011_10*c_0101_11 + c_0101_11^2, c_0011_10*c_0101_4 + c_0101_11*c_1100_2, c_0101_11*c_0101_4 - c_0101_11*c_1100_2 + c_0011_10, c_0101_4^2 + 2*c_0101_4 - c_1100_2 + 1, c_0011_10*c_0101_5 - c_0101_11*c_0101_8 - 2*c_0011_10*c_1001_12 + c_0101_11*c_1100_2 - 2*c_0011_10 + c_0101_11, c_0101_11*c_0101_5 + c_0101_11*c_0101_8 + c_0011_10*c_1001_12 + c_0011_10, c_0101_4*c_0101_5 - c_0101_4 - c_0101_8 - c_1001_12 - 1, c_0101_5^2 + c_0101_11*c_1100_2 + c_0101_4 - 5*c_0101_5 - 2*c_0101_8 + c_1001_12 - 3*c_1100_2 - 1, c_0011_10*c_0101_8 + 2*c_0101_11*c_0101_8 + 3*c_0011_10*c_1001_12 + c_0101_11*c_1001_12 - c_0101_11*c_1100_2 + 2*c_0011_10, c_0101_4*c_0101_8 + 2*c_0101_5 + 2*c_0101_8 + c_1001_12 + c_1100_2 + 1, c_0101_5*c_0101_8 - 2*c_0101_11*c_1100_2 + c_0011_10 - c_0101_11 - 2*c_0101_4 + 6*c_0101_5 + 2*c_0101_8 - 3*c_1001_12 + 4*c_1100_2, c_0101_8^2 + 3*c_0101_11*c_1100_2 - 2*c_0011_10 + 3*c_0101_11 + 4*c_0101_4 - 8*c_0101_5 - 3*c_0101_8 + 6*c_1001_12 - 6*c_1100_2 + 1, c_0101_4*c_1001_12 + c_0101_5 + c_1100_2, c_0101_5*c_1001_12 + c_0011_10 + c_0101_4 - 2*c_0101_5 - 2*c_0101_8 + c_1001_12 - 2*c_1100_2, c_0101_8*c_1001_12 - c_0101_11*c_1100_2 - c_0011_10 - c_0101_11 - 2*c_0101_4 + 5*c_0101_5 + 4*c_0101_8 - 3*c_1001_12 + 4*c_1100_2, c_1001_12^2 + c_0011_10 + c_0101_11 + 2*c_0101_4 - 3*c_0101_5 - 2*c_0101_8 + 4*c_1001_12 - 3*c_1100_2 + 1, c_0011_10*c_1100_2 + c_0011_10 - c_0101_11, c_0101_4*c_1100_2 + 2*c_0101_4 + 1, c_0101_5*c_1100_2 - c_0101_4 + 2*c_0101_5 - c_1001_12 + c_1100_2, c_0101_8*c_1100_2 + c_0101_4 - c_0101_5 + c_0101_8 + 2*c_1001_12 - c_1100_2 + 1, c_1001_12*c_1100_2 - c_0101_4 + 2*c_0101_5 + c_0101_8 + 2*c_1100_2, c_1100_2^2 + c_0101_4 + c_1100_2, c_0011_0 - 1, c_0011_4 - 1, c_0011_5 + c_0101_4 - 2*c_0101_5 - 2*c_0101_8 + c_1001_12 - 2*c_1100_2, c_0101_0 - 1, c_0101_10 + c_0101_4 - c_0101_5 + c_1001_12 - c_1100_2 + 1, c_0101_2 - c_0101_4 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_5, c_0101_8, c_1001_12, c_1100_2 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_10^2 + c_0101_11^2, c_0011_10*c_0101_5 - c_0101_11*c_1001_12 - 2*c_0101_11, c_0101_11*c_0101_5 + c_0011_10*c_1001_12 + 2*c_0011_10, c_0101_5^2 + c_0101_11 + c_1001_12 + 3, c_0101_5*c_1001_12 + c_0011_10 + c_0101_5 + 1/2*c_1100_2, c_1001_12^2 - c_0101_11 + 3*c_1001_12 + 1, c_0011_10*c_1100_2 + 2*c_0101_11, c_0101_11*c_1100_2 - 2*c_0011_10, c_0101_5*c_1100_2 - 2*c_1001_12 - 4, c_1001_12*c_1100_2 + 2*c_0101_5 + 2*c_1100_2, c_1100_2^2 + 4, c_0011_0 - 1, c_0011_4 - 1, c_0011_5 + c_0101_5 + 1/2*c_1100_2, c_0101_0 - 1, c_0101_10 - c_1001_12 - 1, c_0101_2 - 1/2*c_1100_2 - 1, c_0101_4 - 1/2*c_1100_2, c_0101_8 - 1/2*c_1100_2 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0101_11" ], [ "c_0101_11" ] ] 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 / 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: 0.000 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: 0.000 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: 0.000 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: 0.000 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: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.010 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.000 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.000 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: 0.000 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: 0.020 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 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_5, c_0101_8, c_1001_12, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - c_1100_2^2 - 2*c_1100_2, c_0011_4 - 1, c_0011_5 + 2*c_1001_12*c_1100_2^2 + 4*c_1001_12*c_1100_2 + c_1001_12 + c_1100_2^2 + c_1100_2, c_0101_0 - 1, c_0101_10 - c_1001_12*c_1100_2^2 - c_1001_12*c_1100_2 + c_1001_12 - c_1100_2^2 - c_1100_2 + 1, c_0101_11 - 1, c_0101_2 + c_1100_2^2 + c_1100_2 - 1, c_0101_4 + c_1100_2^2 + c_1100_2, c_0101_5 - c_1001_12*c_1100_2^2 - c_1001_12*c_1100_2 + c_1100_2, c_0101_8 + 2*c_1001_12*c_1100_2^2 + 3*c_1001_12*c_1100_2 + c_1100_2^2 + c_1100_2, c_1001_12^2 + c_1001_12*c_1100_2^2 + 3*c_1001_12*c_1100_2 + 4*c_1001_12 + c_1100_2^2 + 2*c_1100_2 + 2, c_1100_2^3 + 3*c_1100_2^2 + 2*c_1100_2 - 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==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_4, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_5, c_0101_8, c_1001_12, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 1/2*c_1100_2, c_0011_4 - 1, c_0011_5 + c_1100_2, c_0101_0 - 1, c_0101_10 + 2, c_0101_11 - 1, c_0101_2 - 1/2*c_1100_2 - 1, c_0101_4 - 1/2*c_1100_2, c_0101_5 - 1/2*c_1100_2, c_0101_8 - 1/2*c_1100_2, c_1001_12 + 3, c_1100_2^2 + 4 ] ==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: 1.500 seconds, Total memory usage: 32.09MB