Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 3069651545] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0724 geometric_solution 4.67371914 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.700609224865 0.283706851482 0 2 2 0 3201 0132 1023 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.165968299732 0.786100745181 3 1 1 4 0132 0132 1023 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295500475230 0.243001050897 2 4 5 4 0132 2310 0132 3201 0 0 0 0 0 1 0 -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 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 -0.290563506427 1.385456759696 5 3 2 3 1023 2310 0132 3201 0 0 0 0 0 0 0 0 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 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 -0.290563506427 1.385456759696 6 4 6 3 0132 1023 1023 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 1 -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 0.530940798721 0.789627914389 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 0 -1 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 0 -1 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 0.511377738980 0.132248485564 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], '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_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_0_6' : 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_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4124/13*c_0101_5^3 + 160323/13*c_0101_5^2 + 132593/13*c_0101_5 + 26879/13, c_0011_0 - 1, c_0011_1 + 23/13*c_0101_5^3 + 890/13*c_0101_5^2 + 579/13*c_0101_5 + 83/13, c_0011_4 + 16/13*c_0101_5^3 + 618/13*c_0101_5^2 + 370/13*c_0101_5 + 47/13, c_0101_0 + 6/13*c_0101_5^3 + 235/13*c_0101_5^2 + 259/13*c_0101_5 + 55/13, c_0101_2 + 7/13*c_0101_5^3 + 272/13*c_0101_5^2 + 222/13*c_0101_5 + 36/13, c_0101_3 + 8/13*c_0101_5^3 + 309/13*c_0101_5^2 + 172/13*c_0101_5 + 17/13, c_0101_5^4 + 39*c_0101_5^3 + 37*c_0101_5^2 + 11*c_0101_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 12061943150145369762/211844065572060883*c_0101_5^13 - 152750162876941998752/211844065572060883*c_0101_5^12 + 395297073540092776892/211844065572060883*c_0101_5^11 + 321504678090759361072/211844065572060883*c_0101_5^10 - 3211176549623185399225/211844065572060883*c_0101_5^9 + 5797653157745243033885/211844065572060883*c_0101_5^8 - 4473364773008588247132/211844065572060883*c_0101_5^7 + 38012311948395179919/7304967778346927*c_0101_5^6 + 1276285761845479820793/211844065572060883*c_0101_5^5 - 967053799998771017008/211844065572060883*c_0101_5^4 + 771827060143473575255/211844065572060883*c_0101_5^3 - 817312236849382826823/211844065572060883*c_0101_5^2 + 318144660327408407001/211844065572060883*c_0101_5 - 37861798519554865130/211844065572060883, c_0011_0 - 1, c_0011_1 - 259956994832223/561920598334379*c_0101_5^13 + 3256250471974672/561920598334379*c_0101_5^12 - 8096609112775893/561920598334379*c_0101_5^11 - 7735237843535816/561920598334379*c_0101_5^10 + 67490170682880513/561920598334379*c_0101_5^9 - 116725674448974612/561920598334379*c_0101_5^8 + 86482917610775128/561920598334379*c_0101_5^7 - 20510424963480354/561920598334379*c_0101_5^6 - 25741902747975176/561920598334379*c_0101_5^5 + 17724270408197214/561920598334379*c_0101_5^4 - 17955652195057832/561920598334379*c_0101_5^3 + 16753140467133759/561920598334379*c_0101_5^2 - 5835746908660401/561920598334379*c_0101_5 + 1098726204238777/561920598334379, c_0011_4 - 58264256994772/561920598334379*c_0101_5^13 + 658196090858783/561920598334379*c_0101_5^12 - 933533142945561/561920598334379*c_0101_5^11 - 3757126755274693/561920598334379*c_0101_5^10 + 12430823715681005/561920598334379*c_0101_5^9 - 8021109780003853/561920598334379*c_0101_5^8 - 8105825149108376/561920598334379*c_0101_5^7 + 11202420833451538/561920598334379*c_0101_5^6 - 6666093389855458/561920598334379*c_0101_5^5 - 3251234607859076/561920598334379*c_0101_5^4 - 146293494369082/561920598334379*c_0101_5^3 + 436802917985159/561920598334379*c_0101_5^2 + 1836411295477333/561920598334379*c_0101_5 - 514483106602385/561920598334379, c_0101_0 + 564409092749487/561920598334379*c_0101_5^13 - 7084364944928536/561920598334379*c_0101_5^12 + 17686633381317529/561920598334379*c_0101_5^11 + 17228513632843941/561920598334379*c_0101_5^10 - 148749056236905961/561920598334379*c_0101_5^9 + 253868736752083903/561920598334379*c_0101_5^8 - 176791117830107142/561920598334379*c_0101_5^7 + 26451945752492988/561920598334379*c_0101_5^6 + 64650108244971222/561920598334379*c_0101_5^5 - 37243464263858443/561920598334379*c_0101_5^4 + 30912673619607587/561920598334379*c_0101_5^3 - 35250794384048160/561920598334379*c_0101_5^2 + 10381024982891192/561920598334379*c_0101_5 - 407345018073354/561920598334379, c_0101_2 + 126245274902334/561920598334379*c_0101_5^13 - 1639682967018199/561920598334379*c_0101_5^12 + 4625011162894291/561920598334379*c_0101_5^11 + 2386146114013852/561920598334379*c_0101_5^10 - 35387793340890316/561920598334379*c_0101_5^9 + 70092397009906396/561920598334379*c_0101_5^8 - 59485845663867181/561920598334379*c_0101_5^7 + 18345203812767846/561920598334379*c_0101_5^6 + 12533577492857823/561920598334379*c_0101_5^5 - 13546355625373936/561920598334379*c_0101_5^4 + 8308892924119099/561920598334379*c_0101_5^3 - 10710661462220782/561920598334379*c_0101_5^2 + 4617549029707299/561920598334379*c_0101_5 - 389229129305753/561920598334379, c_0101_3 + 414345815438342/561920598334379*c_0101_5^13 - 5223385757690707/561920598334379*c_0101_5^12 + 13289980084999831/561920598334379*c_0101_5^11 + 11682672801723470/561920598334379*c_0101_5^10 - 109446151024708141/561920598334379*c_0101_5^9 + 193406078756491949/561920598334379*c_0101_5^8 - 144608047277255958/561920598334379*c_0101_5^7 + 31940469975439790/561920598334379*c_0101_5^6 + 43833046245905083/561920598334379*c_0101_5^5 - 29789427264732546/561920598334379*c_0101_5^4 + 26218562170250149/561920598334379*c_0101_5^3 - 26619333820631263/561920598334379*c_0101_5^2 + 10293786651564324/561920598334379*c_0101_5 - 1499553438885343/561920598334379, c_0101_5^14 - 13*c_0101_5^13 + 37*c_0101_5^12 + 16*c_0101_5^11 - 276*c_0101_5^10 + 569*c_0101_5^9 - 525*c_0101_5^8 + 205*c_0101_5^7 + 81*c_0101_5^6 - 115*c_0101_5^5 + 87*c_0101_5^4 - 88*c_0101_5^3 + 48*c_0101_5^2 - 11*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB