Magma V2.19-8 Thu Sep 12 2013 15:35:09 on localhost [Seed = 2132752978] Type ? for help. Type -D to quit. Loading file "9_40__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_40 geometric_solution 15.01834286 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 0132 0132 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 1 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137568088862 1.439146144705 0 5 7 6 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255604690121 0.354620246591 3 0 7 8 1023 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 0 0 0 -1 0 1 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137568088862 1.439146144705 6 2 9 0 0132 1023 0132 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464390926328 0.597922130432 10 10 0 8 0132 1302 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464390926328 0.597922130432 6 1 9 11 1023 0132 2103 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 -1 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 0.464390926328 0.597922130432 3 5 1 12 0132 1023 0132 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 -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 1.612755400854 1.022509210754 2 13 14 1 2031 0132 0132 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327352824470 2.482331119968 15 15 2 4 0132 1302 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.464390926328 0.597922130432 5 16 14 3 2103 0132 3012 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473891676627 0.197980584721 4 16 14 4 0132 2310 2103 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831190388435 0.927891539328 12 13 5 12 1023 0213 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.831190388435 0.927891539328 11 11 6 15 3120 1023 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464390926328 0.597922130432 16 7 11 16 2103 0132 0213 3120 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 -8 0 -1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306377700427 0.511254605377 10 9 15 7 2103 1230 0321 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 0.049625376017 0.833273867902 8 12 14 8 0132 0321 0321 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831190388435 0.927891539328 13 9 13 10 3120 0132 2103 3201 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 0 -9 0 8 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 0.934180045487 0.688564728672 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : d['c_1001_14'], 'c_1001_16' : d['c_0011_13'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_14'], 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1001_5' : negation(d['c_0011_16']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0011_16']), 'c_1001_6' : negation(d['c_0011_16']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0011_13'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_14']), 'c_1001_8' : d['c_0101_8'], 'c_1010_13' : negation(d['c_0011_16']), 'c_1010_12' : negation(d['c_0011_15']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_10']), 'c_1010_16' : negation(d['c_0011_14']), 'c_1010_15' : negation(d['c_0011_15']), 'c_1010_14' : negation(d['c_0011_16']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_3_15' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0011_11'], 'c_0101_15' : negation(d['c_0101_10']), 'c_0101_14' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : negation(d['c_1001_14']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_1001_14']), 'c_1100_7' : d['c_1001_15'], 'c_1100_6' : d['c_1001_15'], 'c_1100_1' : d['c_1001_15'], 'c_1100_0' : negation(d['c_1001_14']), 'c_1100_3' : negation(d['c_1001_14']), 'c_1100_2' : d['c_0101_7'], 's_0_15' : d['1'], 'c_1100_15' : d['c_1001_14'], 'c_1100_14' : d['c_1001_15'], 'c_1100_16' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1100_13' : negation(d['c_0011_11']), 'c_1100_12' : d['c_1001_15'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_1001_1'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0011_16']), 'c_1010_0' : d['c_0101_1'], 's_0_14' : d['1'], 'c_1010_9' : d['c_0011_13'], 'c_1010_8' : negation(d['c_1001_14']), 'c_1100_8' : d['c_0101_7'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_16']), 'c_0011_8' : negation(d['c_0011_15']), 's_3_10' : d['1'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_13']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_15']), 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : negation(d['c_0011_15']), 'c_0110_15' : d['c_0101_8'], 'c_0110_14' : d['c_0101_7'], 'c_0110_16' : d['c_0011_10'], 'c_1010_4' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_16']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_13'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_16']), 'c_0101_8' : d['c_0101_8'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12'], 'c_0101_13' : d['c_0011_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 7/292032*c_1001_15 - 1/9126, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1/2*c_1001_15 + 1, c_0011_13 + 2, c_0011_14 - 1/4*c_1001_15 + 1, c_0011_15 - 1/2*c_1001_15, c_0011_16 - 1/4*c_1001_15 + 1, c_0101_0 + 1/4*c_1001_15 - 1, c_0101_1 - 1/4*c_1001_15 + 1, c_0101_10 + c_1001_15 - 3, c_0101_11 - c_1001_15 + 3, c_0101_12 + 1, c_0101_7 + 3/4*c_1001_15 - 3, c_0101_8 + 1/2*c_1001_15 - 1, c_1001_1 - 3/4*c_1001_15 + 3, c_1001_14 - 1, c_1001_15^2 - 4*c_1001_15 + 16 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 7/1872*c_1001_15 - 1/936, c_0011_0 - 1, c_0011_10 + 2*c_1001_15 - 2, c_0011_11 - c_1001_15, c_0011_13 - c_1001_15, c_0011_14 - 4*c_1001_15 + 4, c_0011_15 + 1, c_0011_16 + c_1001_15, c_0101_0 + 2, c_0101_1 - 2*c_1001_15 + 1, c_0101_10 - 4*c_1001_15 + 1, c_0101_11 + c_1001_15, c_0101_12 + 1, c_0101_7 - 1, c_0101_8 + c_1001_15, c_1001_1 + 1, c_1001_14 - 3*c_1001_15, c_1001_15^2 - c_1001_15 + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 655360/117*c_1001_15 + 131072/117, c_0011_0 - 1, c_0011_10 + c_1001_15 - 1/2, c_0011_11 - c_1001_15, c_0011_13 - c_1001_15, c_0011_14 + c_1001_15, c_0011_15 + c_1001_15 - 1/2, c_0011_16 - c_1001_15 - 1/2, c_0101_0 - c_1001_15, c_0101_1 + c_1001_15, c_0101_10 - c_1001_15, c_0101_11 + 3*c_1001_15 + 1/2, c_0101_12 + 3*c_1001_15, c_0101_7 - c_1001_15 + 1/2, c_0101_8 + c_1001_15, c_1001_1 + c_1001_15 - 1/2, c_1001_14 - c_1001_15 + 1/2, c_1001_15^2 - 1/2*c_1001_15 + 1/4 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 101/1531152*c_1001_14*c_1001_15 + 137/765576*c_1001_14 + 65/3062304*c_1001_15 - 101/382788, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - c_1001_14 + 1/2*c_1001_15 - 1, c_0011_13 + 1/4*c_1001_15 + 1, c_0011_14 + 1/4*c_1001_15, c_0011_15 - 2, c_0011_16 - 1/4*c_1001_14*c_1001_15 + 1/2*c_1001_15 - 1, c_0101_0 + 1/4*c_1001_14*c_1001_15 - 2*c_1001_14 + 3, c_0101_1 + 1/4*c_1001_14*c_1001_15 - 1/4*c_1001_15 + 1, c_0101_10 - 1/2*c_1001_14*c_1001_15 - c_1001_14 + c_1001_15, c_0101_11 - 1/2*c_1001_14*c_1001_15 - c_1001_14 + c_1001_15 - 3, c_0101_12 - c_1001_14 + 1/2*c_1001_15 + 1, c_0101_7 - 1/4*c_1001_14*c_1001_15 - 2*c_1001_14 + c_1001_15 + 1, c_0101_8 - c_1001_14 + 2, c_1001_1 - 1/4*c_1001_14*c_1001_15 - 2*c_1001_14 + 3/4*c_1001_15 - 1, c_1001_14^2 - 1/2*c_1001_14*c_1001_15 - c_1001_14 + 1/4*c_1001_15 - 1, c_1001_15^2 - 4*c_1001_15 + 16 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 4163/382788*c_1001_14*c_1001_15 + 3613/382788*c_1001_14 - 1355/54684*c_1001_15 + 5267/109368, c_0011_0 - 1, c_0011_10 - 2, c_0011_11 + 2/7*c_1001_14*c_1001_15 + 1/7*c_1001_14, c_0011_13 + 4/7*c_1001_14*c_1001_15 - 5/7*c_1001_14, c_0011_14 + 4*c_1001_15, c_0011_15 + 1, c_0011_16 - 2/7*c_1001_14*c_1001_15 - 1/7*c_1001_14, c_0101_0 + c_1001_15 + 1, c_0101_1 + 1/7*c_1001_14*c_1001_15 - 3/7*c_1001_14 - c_1001_15 + 1, c_0101_10 - 3/7*c_1001_14*c_1001_15 - 5/7*c_1001_14 - c_1001_15 + 1, c_0101_11 - 2/7*c_1001_14*c_1001_15 - 1/7*c_1001_14 + c_1001_15, c_0101_12 + 1/7*c_1001_14*c_1001_15 - 3/7*c_1001_14 + c_1001_15, c_0101_7 + 1/7*c_1001_14*c_1001_15 - 3/7*c_1001_14 - c_1001_15 - 1, c_0101_8 + 2/7*c_1001_14*c_1001_15 + 1/7*c_1001_14 + c_1001_15, c_1001_1 + 1/7*c_1001_14*c_1001_15 - 3/7*c_1001_14 + c_1001_15, c_1001_14^2 + c_1001_14*c_1001_15 + 2*c_1001_14 - 8*c_1001_15 + 5, c_1001_15^2 - c_1001_15 + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 710410240/13671*c_1001_14*c_1001_15 + 690356224/13671*c_1001_14 - 74055680/13671*c_1001_15 + 688979968/13671, c_0011_0 - 1, c_0011_10 - 1/2, c_0011_11 - 2*c_1001_14*c_1001_15 - 2*c_1001_15 - 1/2, c_0011_13 + 2*c_1001_14*c_1001_15 + 2*c_1001_14 - c_1001_15 + 1/2, c_0011_14 + c_1001_15, c_0011_15 - 1/2, c_0011_16 + c_1001_14 - 2*c_1001_15 - 1/2, c_0101_0 + 2*c_1001_14*c_1001_15 + 2*c_1001_14 - c_1001_15 + 1/2, c_0101_1 - 2*c_1001_14*c_1001_15 - c_1001_15 - 1/2, c_0101_10 + 2*c_1001_14*c_1001_15 + 1/2, c_0101_11 + 4*c_1001_14*c_1001_15 - c_1001_14 + 4*c_1001_15 + 3/2, c_0101_12 + 2*c_1001_14*c_1001_15 - 2*c_1001_14 + 3*c_1001_15 + 1/2, c_0101_7 - c_1001_14, c_0101_8 - 2*c_1001_14*c_1001_15 - c_1001_15 - 1/2, c_1001_1 - c_1001_14 + 2*c_1001_15 - 1/2, c_1001_14^2 - 2*c_1001_14*c_1001_15 + 1/2*c_1001_14 - 1/2*c_1001_15 - 1/4, c_1001_15^2 + 1/2*c_1001_15 + 1/4 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 35896/729*c_1001_15^3 - 73492/729*c_1001_15^2 - 40336/243*c_1001_15 - 32576/729, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1/2*c_1001_15^3 - c_1001_15^2 - c_1001_15, c_0011_13 + 1/2*c_1001_15^3 - 1, c_0011_14 + c_1001_15, c_0011_15 + 1, c_0011_16 + 1/2*c_1001_15^3 + c_1001_15^2 + c_1001_15, c_0101_0 + 1/2*c_1001_15^3 - 1, c_0101_1 + 1/2*c_1001_15^3 + c_1001_15^2 + c_1001_15, c_0101_10 + 1/2*c_1001_15^3 + 2*c_1001_15^2 + 2*c_1001_15 + 2, c_0101_11 - 1/2*c_1001_15^3 - 2*c_1001_15^2 - 2*c_1001_15 - 2, c_0101_12 - 1/2*c_1001_15^3 - c_1001_15^2 - c_1001_15 - 1, c_0101_7 + 1/2*c_1001_15^3 + c_1001_15^2 + c_1001_15 + 1, c_0101_8 + 1/2*c_1001_15^3 + c_1001_15^2 + c_1001_15, c_1001_1 - 1/2*c_1001_15^3 - c_1001_15^2 - c_1001_15 - 1, c_1001_14 + 1/2*c_1001_15^3 + c_1001_15^2 + c_1001_15 + 1, c_1001_15^4 + 2*c_1001_15^3 + 4*c_1001_15^2 + 2*c_1001_15 + 2 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 11/45*c_1001_14^3 + 4/5*c_1001_14^2 - 11/15*c_1001_14 - 43/45, c_0011_0 - 1, c_0011_10 - 2/5*c_1001_14^3 + 7/5*c_1001_14^2 - 11/5*c_1001_14 - 1/5, c_0011_11 + 1/5*c_1001_14^3 - 6/5*c_1001_14^2 + 8/5*c_1001_14 - 2/5, c_0011_13 + c_1001_14 - 1, c_0011_14 - 1, c_0011_15 - 2/5*c_1001_14^3 + 7/5*c_1001_14^2 - 11/5*c_1001_14 - 1/5, c_0011_16 + 2/5*c_1001_14^3 - 7/5*c_1001_14^2 + 11/5*c_1001_14 - 4/5, c_0101_0 + 4/5*c_1001_14^3 - 14/5*c_1001_14^2 + 17/5*c_1001_14 + 2/5, c_0101_1 - 1/5*c_1001_14^3 + 6/5*c_1001_14^2 - 8/5*c_1001_14 + 2/5, c_0101_10 - 2/5*c_1001_14^3 + 7/5*c_1001_14^2 - 11/5*c_1001_14 - 6/5, c_0101_11 + c_1001_14 - 1, c_0101_12 + 2/5*c_1001_14^3 - 7/5*c_1001_14^2 + 11/5*c_1001_14 - 4/5, c_0101_7 - 4/5*c_1001_14^3 + 14/5*c_1001_14^2 - 17/5*c_1001_14 - 7/5, c_0101_8 + 3/5*c_1001_14^3 - 13/5*c_1001_14^2 + 19/5*c_1001_14 - 1/5, c_1001_1 + c_1001_14, c_1001_14^4 - 4*c_1001_14^3 + 6*c_1001_14^2 - c_1001_14 + 1, c_1001_15 + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 8/9*c_1001_1*c_1001_15 - 5/9*c_1001_1 + 1/9*c_1001_15 + 4/9, c_0011_0 - 1, c_0011_10 - c_1001_15, c_0011_11 - c_1001_1*c_1001_15 + c_1001_1 + c_1001_15 - 1, c_0011_13 + c_1001_1 - 2, c_0011_14 - 1, c_0011_15 + 1, c_0011_16 - c_1001_1*c_1001_15 + c_1001_1 + c_1001_15 - 2, c_0101_0 - c_1001_1*c_1001_15 + c_1001_1 + c_1001_15 - 3, c_0101_1 + c_1001_15 - 1, c_0101_10 - c_1001_1 + 2, c_0101_11 - c_1001_15 - 1, c_0101_12 + c_1001_1 - c_1001_15 - 2, c_0101_7 - c_1001_1 + c_1001_15 + 2, c_0101_8 - c_1001_1*c_1001_15 + c_1001_1 + c_1001_15 - 2, c_1001_1^2 - c_1001_1*c_1001_15 - 2*c_1001_1 + 1, c_1001_14 - c_1001_15 + 1, c_1001_15^2 - c_1001_15 + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_14, c_1001_15 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 40/3*c_1001_14^3 + 176/3*c_1001_14^2 + 251/3*c_1001_14 + 35/3, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - c_1001_14^3 - 5*c_1001_14^2 - 8*c_1001_14 - 2, c_0011_13 - c_1001_14^3 - 4*c_1001_14^2 - 5*c_1001_14 - 2, c_0011_14 + c_1001_14^3 + 5*c_1001_14^2 + 8*c_1001_14 + 3, c_0011_15 - c_1001_14^3 - 5*c_1001_14^2 - 8*c_1001_14 - 3, c_0011_16 - c_1001_14^3 - 4*c_1001_14^2 - 5*c_1001_14 - 1, c_0101_0 + c_1001_14^3 + 5*c_1001_14^2 + 9*c_1001_14 + 3, c_0101_1 - c_1001_14^3 - 4*c_1001_14^2 - 5*c_1001_14 - 1, c_0101_10 - c_1001_14^3 - 5*c_1001_14^2 - 9*c_1001_14 - 3, c_0101_11 + c_1001_14^3 + 5*c_1001_14^2 + 9*c_1001_14 + 3, c_0101_12 + c_1001_14, c_0101_7 - c_1001_14^3 - 5*c_1001_14^2 - 8*c_1001_14 - 2, c_0101_8 + c_1001_14^3 + 5*c_1001_14^2 + 8*c_1001_14 + 2, c_1001_1 + c_1001_14^3 + 5*c_1001_14^2 + 8*c_1001_14 + 2, c_1001_14^4 + 5*c_1001_14^3 + 9*c_1001_14^2 + 5*c_1001_14 + 1, c_1001_15 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 10017.910 Total time: 10018.100 seconds, Total memory usage: 11996.81MB