Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 3364443176] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0646 geometric_solution 4.63330983 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1230 0132 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 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 0.355442920380 0.765874172581 0 4 4 2 0132 0132 1023 3012 0 0 0 0 0 0 -1 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 0 -1 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 0.601242215903 0.224175113451 3 0 1 0 1230 0132 1230 3012 0 0 0 0 0 1 0 -1 0 0 1 -1 -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 0 0 0 0 0 1 -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 0.643259575452 0.764332455077 3 2 0 3 3201 3012 0132 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -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 -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 -0.498585307294 1.074303602045 5 1 1 5 0132 0132 1023 3201 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 -1 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 1.002493094645 0.344661884204 4 4 6 6 0132 2310 2310 0132 0 0 0 0 0 0 0 0 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 0 0 0 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 1.813490576519 0.719810340897 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 1 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359346131286 0.110014858135 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 2211928001/373890085*c_0101_4*c_0101_5^13 - 12949091359/373890085*c_0101_4*c_0101_5^12 - 1096182202/74778017*c_0101_4*c_0101_5^11 + 134007264613/373890085*c_0101_4*c_0101_5^10 - 127870012224/373890085*c_0101_4*c_0101_5^9 - 364327272836/373890085*c_0101_4*c_0101_5^8 + 99188342986/74778017*c_0101_4*c_0101_5^7 + 311586610201/373890085*c_0101_4*c_0101_5^6 - 103283195643/74778017*c_0101_4*c_0101_5^5 - 87662472813/373890085*c_0101_4*c_0101_5^4 + 44462929045/74778017*c_0101_4*c_0101_5^3 - 708459788/373890085*c_0101_4*c_0101_5^2 - 28260762876/373890085*c_0101_4*c_0101_5 - 3242737523/373890085*c_0101_4, c_0011_0 - 1, c_0011_3 - 1181953431/6356131445*c_0101_4*c_0101_5^13 + 10190011479/6356131445*c_0101_4*c_0101_5^12 - 2979315650/1271226289*c_0101_4*c_0101_5^11 - 5066213874/373890085*c_0101_4*c_0101_5^10 + 255964484099/6356131445*c_0101_4*c_0101_5^9 + 79983200936/6356131445*c_0101_4*c_0101_5^8 - 160880943195/1271226289*c_0101_4*c_0101_5^7 + 301579242604/6356131445*c_0101_4*c_0101_5^6 + 163785307194/1271226289*c_0101_4*c_0101_5^5 - 344109001817/6356131445*c_0101_4*c_0101_5^4 - 69895214012/1271226289*c_0101_4*c_0101_5^3 + 139262596198/6356131445*c_0101_4*c_0101_5^2 + 61279228771/6356131445*c_0101_4*c_0101_5 - 5440654317/6356131445*c_0101_4, c_0011_6 + 206423773/6356131445*c_0101_5^13 - 1805782357/6356131445*c_0101_5^12 + 527377729/1271226289*c_0101_5^11 + 929750337/373890085*c_0101_5^10 - 46268620152/6356131445*c_0101_5^9 - 18687361638/6356131445*c_0101_5^8 + 30780341028/1271226289*c_0101_5^7 - 48958092652/6356131445*c_0101_5^6 - 34924282190/1271226289*c_0101_5^5 + 75321633621/6356131445*c_0101_5^4 + 16029674718/1271226289*c_0101_5^3 - 40949245344/6356131445*c_0101_5^2 - 10118162163/6356131445*c_0101_5 + 7922460031/6356131445, c_0101_0 + 301722218/373890085*c_0101_4*c_0101_5^13 - 1917066297/373890085*c_0101_4*c_0101_5^12 + 41723590/74778017*c_0101_4*c_0101_5^11 + 18188324069/373890085*c_0101_4*c_0101_5^10 - 26556721387/373890085*c_0101_4*c_0101_5^9 - 36503516153/373890085*c_0101_4*c_0101_5^8 + 17251674615/74778017*c_0101_4*c_0101_5^7 - 861741762/373890085*c_0101_4*c_0101_5^6 - 14178266508/74778017*c_0101_4*c_0101_5^5 + 24815272581/373890085*c_0101_4*c_0101_5^4 + 3722904188/74778017*c_0101_4*c_0101_5^3 - 10868393034/373890085*c_0101_4*c_0101_5^2 + 493405852/373890085*c_0101_4*c_0101_5 + 370781966/373890085*c_0101_4, c_0101_1 + 1566328586/6356131445*c_0101_5^13 - 9604395289/6356131445*c_0101_5^12 - 265374963/1271226289*c_0101_5^11 + 5649518369/373890085*c_0101_5^10 - 117617113819/6356131445*c_0101_5^9 - 232537868156/6356131445*c_0101_5^8 + 85813090234/1271226289*c_0101_5^7 + 113940483066/6356131445*c_0101_5^6 - 87947285236/1271226289*c_0101_5^5 + 68111067102/6356131445*c_0101_5^4 + 35371453745/1271226289*c_0101_5^3 - 69184073488/6356131445*c_0101_5^2 - 20228386611/6356131445*c_0101_5 + 8551833577/6356131445, c_0101_4^2 - 206423773/6356131445*c_0101_5^13 + 1805782357/6356131445*c_0101_5^12 - 527377729/1271226289*c_0101_5^11 - 929750337/373890085*c_0101_5^10 + 46268620152/6356131445*c_0101_5^9 + 18687361638/6356131445*c_0101_5^8 - 30780341028/1271226289*c_0101_5^7 + 48958092652/6356131445*c_0101_5^6 + 34924282190/1271226289*c_0101_5^5 - 75321633621/6356131445*c_0101_5^4 - 16029674718/1271226289*c_0101_5^3 + 34593113899/6356131445*c_0101_5^2 + 10118162163/6356131445*c_0101_5 - 7922460031/6356131445, c_0101_5^14 - 6*c_0101_5^13 - 2*c_0101_5^12 + 63*c_0101_5^11 - 65*c_0101_5^10 - 178*c_0101_5^9 + 262*c_0101_5^8 + 171*c_0101_5^7 - 312*c_0101_5^6 - 68*c_0101_5^5 + 161*c_0101_5^4 + 7*c_0101_5^3 - 35*c_0101_5^2 - c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB