Magma V2.19-8 Wed Aug 21 2013 00:55:05 on localhost [Seed = 3583233982] Type ? for help. Type -D to quit. Loading file "L12n905__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n905 geometric_solution 11.80643661 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 1 0 -1 -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 -0.362954763123 0.984170657640 0 5 7 6 0132 0132 0132 0132 1 0 1 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 2 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 1.886416046395 1.004426943457 4 0 7 3 0321 0132 3201 3120 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 0 1 -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 0.329860504137 0.894433858624 2 8 9 0 3120 0132 0132 0132 1 0 1 1 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 0 1 -2 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318522618438 0.492085328820 2 10 0 5 0321 0132 0132 1230 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 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 0.597606035566 0.797251875251 4 1 11 9 3012 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015205183537 0.521823883554 10 8 1 9 0213 1302 0132 3120 1 0 1 1 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 -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 0.441672163746 0.800993431230 2 12 12 1 2310 0132 0321 0132 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 0 0 0 0 0 -1 0 1 0 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 0.612015640167 0.602040486053 11 3 11 6 1023 0132 2103 2031 1 1 1 1 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 0 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.836069307425 0.965299256887 6 10 5 3 3120 1230 1230 0132 1 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 0 0 0 0 0 0 0 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187880098345 0.741126251628 6 4 9 12 0213 0132 3012 1230 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 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 0.979706383114 1.218276770740 8 8 12 5 2103 1023 1230 0132 1 1 1 1 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 10 -11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170996984386 1.006908830590 10 7 7 11 3012 0132 0321 3012 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 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 0.612015640167 0.602040486053 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_12']), 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0110_8'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], '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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_9'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_12'], 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_12'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : d['c_0110_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0011_6'], '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_0101_11']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0011_10'], 'c_1100_9' : d['c_0110_5'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_12, c_0011_6, c_0011_9, c_0101_1, c_0101_11, c_0101_12, c_0101_9, c_0110_12, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 68377281/4864*c_0110_5*c_0110_8^2 + 4020129/512*c_0110_5*c_0110_8 - 1194670761/77824*c_0110_5 - 326873101/4864*c_0110_8^2 + 19152749/512*c_0110_8 - 5722253525/77824, c_0011_0 - 1, c_0011_10 - 3/2*c_0110_8^2 + 5/8*c_0110_8 - 7/8, c_0011_11 - 1/4*c_0110_5*c_0110_8^2 + 7/16*c_0110_5*c_0110_8 + 3/16*c_0110_5 + 1/8*c_0110_8^2 - 7/32*c_0110_8 + 13/32, c_0011_12 - 1/2*c_0110_5*c_0110_8^2 + 7/8*c_0110_5*c_0110_8 - 5/8*c_0110_5 + 1/4*c_0110_8^2 - 7/16*c_0110_8 + 13/16, c_0011_6 - c_0110_5*c_0110_8 + 5/4*c_0110_8^2 + 5/16*c_0110_8 + 9/16, c_0011_9 - 3/4*c_0110_8^2 + 5/16*c_0110_8 - 7/16, c_0101_1 - 1, c_0101_11 + 1/4*c_0110_5*c_0110_8^2 - 7/16*c_0110_5*c_0110_8 - 3/16*c_0110_5 - 3/8*c_0110_8^2 + 21/32*c_0110_8 - 7/32, c_0101_12 - 3/2*c_0110_5*c_0110_8^2 + 5/8*c_0110_5*c_0110_8 - 7/8*c_0110_5 + 3/4*c_0110_8^2 - 5/16*c_0110_8 + 7/16, c_0101_9 + 1/2*c_0110_8^2 - 7/8*c_0110_8 + 5/8, c_0110_12 + c_0110_5*c_0110_8 + 1/4*c_0110_8^2 + 1/16*c_0110_8 + 5/16, c_0110_5^2 + 4*c_0110_5*c_0110_8^2 - 3*c_0110_5*c_0110_8 + 4*c_0110_5 - 3*c_0110_8^2 + 9/4*c_0110_8 - 11/4, c_0110_8^3 - 1/2*c_0110_8^2 + 17/16*c_0110_8 + 1/16 ], 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_12, c_0011_6, c_0011_9, c_0101_1, c_0101_11, c_0101_12, c_0101_9, c_0110_12, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 6323226646937600/9587*c_0110_8^5 - 9364018972065792/9587*c_0110_8^4 - 5749051651653632/9587*c_0110_8^3 + 307569530765312/9587*c_0110_8^2 + 191850663378944/9587*c_0110_8 - 645806593843200/9587, c_0011_0 - 1, c_0011_10 - 55552/9587*c_0110_8^5 - 119936/9587*c_0110_8^4 - 80928/9587*c_0110_8^3 - 18548/9587*c_0110_8^2 + 9394/9587*c_0110_8 - 9657/9587, c_0011_11 + 55936/9587*c_0110_8^5 + 58560/9587*c_0110_8^4 + 38368/9587*c_0110_8^3 - 11366/9587*c_0110_8^2 + 7241/9587*c_0110_8 + 689/9587, c_0011_12 + 147328/9587*c_0110_8^5 + 176704/9587*c_0110_8^4 + 109656/9587*c_0110_8^3 - 17344/9587*c_0110_8^2 + 6940/9587*c_0110_8 + 17999/19174, c_0011_6 - 74496/9587*c_0110_8^5 - 57632/9587*c_0110_8^4 - 26528/9587*c_0110_8^3 + 31942/9587*c_0110_8^2 - 15545/9587*c_0110_8 - 497/19174, c_0011_9 - 74496/9587*c_0110_8^5 - 57632/9587*c_0110_8^4 - 26528/9587*c_0110_8^3 + 31942/9587*c_0110_8^2 - 5958/9587*c_0110_8 - 497/19174, c_0101_1 - 1, c_0101_11 + 55936/9587*c_0110_8^5 + 58560/9587*c_0110_8^4 + 38368/9587*c_0110_8^3 - 11366/9587*c_0110_8^2 + 7241/9587*c_0110_8 + 689/9587, c_0101_12 + 77312/9587*c_0110_8^5 + 118848/9587*c_0110_8^4 + 72336/9587*c_0110_8^3 - 14832/9587*c_0110_8^2 - 6270/9587*c_0110_8 + 15967/19174, c_0101_9 - 20096/9587*c_0110_8^5 - 60352/9587*c_0110_8^4 - 48008/9587*c_0110_8^3 - 13160/9587*c_0110_8^2 + 1852/9587*c_0110_8 - 6829/9587, c_0110_12 - 74496/9587*c_0110_8^5 - 57632/9587*c_0110_8^4 - 26528/9587*c_0110_8^3 + 31942/9587*c_0110_8^2 - 15545/9587*c_0110_8 - 497/19174, c_0110_5 + 35456/9587*c_0110_8^5 + 59584/9587*c_0110_8^4 + 32920/9587*c_0110_8^3 + 5388/9587*c_0110_8^2 - 7542/9587*c_0110_8 + 15243/19174, c_0110_8^6 + 3/2*c_0110_8^5 + 15/16*c_0110_8^4 - 1/32*c_0110_8^3 - 1/32*c_0110_8^2 + 13/128*c_0110_8 + 1/512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.980 Total time: 1.189 seconds, Total memory usage: 32.09MB