Magma V2.19-8 Wed Aug 21 2013 00:37:33 on localhost [Seed = 256448824] Type ? for help. Type -D to quit. Loading file "K14n2459__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n2459 geometric_solution 11.76348245 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 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 1 -1 0 0 -1 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505109143785 0.606374525612 0 0 5 4 0132 1230 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 1 0 -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 0.807843913176 0.989826268698 6 0 8 7 0132 0132 0132 0132 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 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 0.441472370727 0.686311315416 9 5 0 9 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.503678582536 0.877154760617 10 8 1 11 0132 3201 0132 0132 0 0 0 0 0 0 1 -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 0 1 -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 -0.212700132172 1.196394969333 3 10 6 1 1023 1230 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.463103300937 0.928140285285 2 7 5 11 0132 2103 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026990460295 0.658592616197 8 6 2 12 1302 2103 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 0.754445813141 1.361373751482 10 7 4 2 3201 2031 2310 0132 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 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 0.417395803435 0.330754147487 3 12 11 3 0132 3120 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.027576062579 0.807449671179 4 12 5 8 0132 2310 3012 2310 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 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 0.650677706207 0.685676331972 9 12 4 6 2031 1023 0132 1023 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 -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 0.254877421223 0.440569855637 11 9 7 10 1023 3120 0132 3201 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 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 0.705306872481 1.076605379652 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : 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' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_1100_1']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_0011_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : 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'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_2'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0101_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0110_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 31/217854*c_0110_11 - 79/435708, c_0011_0 - 1, c_0011_10 + 2*c_0110_11 - 3, c_0011_11 - 2*c_0110_11 - 3, c_0011_3 + c_0110_11 + 4, c_0011_7 - c_0110_11, c_0011_8 + c_0110_11 + 1, c_0101_0 + c_0110_11, c_0101_1 - c_0110_11 - 3, c_0101_10 - 2*c_0110_11 - 2, c_0101_12 + c_0110_11 - 3, c_0101_2 - 2, c_0110_11^2 - c_0110_11 + 1, c_1100_1 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0110_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 5/22932*c_1100_1 - 1/3822, c_0011_0 - 1, c_0011_10 + c_1100_1 + 3, c_0011_11 + 4*c_1100_1 + 1, c_0011_3 - 6*c_1100_1, c_0011_7 + c_1100_1, c_0011_8 + c_1100_1 - 1, c_0101_0 - 1, c_0101_1 + 3*c_1100_1 + 1, c_0101_10 + 2*c_1100_1 + 1, c_0101_12 + 2, c_0101_2 - c_1100_1 + 2, c_0110_11 + c_1100_1, c_1100_1^2 + c_1100_1 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0110_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 15/26*c_0101_2*c_0110_11 + 9/13*c_0101_2 + 25/26*c_0110_11 - 11/13, c_0011_0 - 1, c_0011_10 + c_0101_2*c_0110_11 - c_0101_2 - 1, c_0011_11 - c_0101_2 - 1, c_0011_3 + c_0101_2*c_0110_11 - 2*c_0101_2 - c_0110_11, c_0011_7 + c_0110_11, c_0011_8 - c_0101_2 - c_0110_11 + 1, c_0101_0 + c_0110_11, c_0101_1 + c_0101_2 + c_0110_11 + 1, c_0101_10 + c_0101_2 + 2*c_0110_11, c_0101_12 - c_0101_2*c_0110_11 + c_0101_2 + c_0110_11 + 1, c_0101_2^2 + 2*c_0101_2*c_0110_11 - 2*c_0101_2 - 2*c_0110_11, c_0110_11^2 - c_0110_11 + 1, c_1100_1 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0110_11, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2*c_0101_2*c_1100_1 + 4*c_0101_2 - 2*c_1100_1 + 15/2, c_0011_0 - 1, c_0011_10 + c_0101_2*c_1100_1 - c_0101_2 + c_1100_1, c_0011_11 + c_0101_2*c_1100_1 + c_1100_1, c_0011_3 + c_0101_2*c_1100_1 + c_0101_2 + 1, c_0011_7 + c_1100_1, c_0011_8 - c_0101_2 - 1, c_0101_0 - 1, c_0101_1 - c_0101_2*c_1100_1, c_0101_10 - c_0101_2*c_1100_1 - c_1100_1, c_0101_12 - c_0101_2*c_1100_1 + c_0101_2 - 2*c_1100_1 + 1, c_0101_2^2 + 2*c_0101_2 - c_1100_1 + 1, c_0110_11 - c_1100_1, c_1100_1^2 - c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 8.970 Total time: 9.189 seconds, Total memory usage: 64.12MB