Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 2480017265] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2058 geometric_solution 5.58212979 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 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 -1 0 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 0.285159805036 0.295487899337 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.023793905552 1.456805751152 1 3 4 5 0132 3201 0132 0132 0 0 0 0 0 1 0 -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 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 -0.183543384507 0.856974912578 5 4 2 1 3201 3201 2310 0132 0 0 0 0 0 -1 0 1 1 0 -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 -1 0 1 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 -0.183543384507 0.856974912578 4 4 3 2 1302 2031 2310 0132 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337059841242 0.495298365937 6 6 2 3 0132 3201 0132 2310 0 0 0 0 0 -1 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 1 0 -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 -0.379542091824 2.139704260342 5 6 5 6 0132 1302 2310 2031 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.362211951492 0.766923040354 ==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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), '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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 33732211619299784179561703/478196762301179042141074*c_0011_5*c_0101\ _1^14 + 51008781391084054904155922/239098381150589521070537*c_0011_\ 5*c_0101_1^13 - 136513542489846572488947843/23909838115058952107053\ 7*c_0011_5*c_0101_1^12 + 813876889145561912724475863/23909838115058\ 9521070537*c_0011_5*c_0101_1^11 + 3766917425059189104558451731/4781\ 96762301179042141074*c_0011_5*c_0101_1^10 - 4107435357907362851195950687/478196762301179042141074*c_0011_5*c_01\ 01_1^9 + 2206410505005677924048066705/478196762301179042141074*c_00\ 11_5*c_0101_1^8 + 6531747584412636175784011913/23909838115058952107\ 0537*c_0011_5*c_0101_1^7 - 11880083043292953533032171954/2390983811\ 50589521070537*c_0011_5*c_0101_1^6 - 8272614592770736485510872776/239098381150589521070537*c_0011_5*c_01\ 01_1^5 - 1947746968629330691377427781/239098381150589521070537*c_00\ 11_5*c_0101_1^4 - 6328572685100880360502957611/23909838115058952107\ 0537*c_0011_5*c_0101_1^3 + 170338608362011242935944207/478196762301\ 179042141074*c_0011_5*c_0101_1^2 + 452962349827114468678845552/239098381150589521070537*c_0011_5*c_010\ 1_1 + 1039523168120885108288668779/478196762301179042141074*c_0011_\ 5, c_0011_0 - 1, c_0011_1 - 45722146625220/700311880048707361*c_0101_1^14 + 85503468852482/700311880048707361*c_0101_1^13 - 131061869363215/700311880048707361*c_0101_1^12 + 1411465030943482/700311880048707361*c_0101_1^11 + 8117988899976565/700311880048707361*c_0101_1^10 - 3684666615884456/700311880048707361*c_0101_1^9 - 9196635527858567/700311880048707361*c_0101_1^8 + 69997167714031807/700311880048707361*c_0101_1^7 + 57738143455815638/700311880048707361*c_0101_1^6 + 10599709403779651/700311880048707361*c_0101_1^5 + 44840478622522708/700311880048707361*c_0101_1^4 - 26216883938240559/700311880048707361*c_0101_1^3 + 58638015035420166/700311880048707361*c_0101_1^2 - 316159700790156468/700311880048707361*c_0101_1 - 432905944390204031/700311880048707361, c_0011_3 - 705267068529440986315/131916348221014908176848*c_0011_5*c_01\ 01_1^14 - 863763281546037805627/65958174110507454088424*c_0011_5*c_\ 0101_1^13 + 4625132279111191657101/65958174110507454088424*c_0011_5\ *c_0101_1^12 - 3973457404281003018823/65958174110507454088424*c_001\ 1_5*c_0101_1^11 + 293994978998058448533221/131916348221014908176848\ *c_0011_5*c_0101_1^10 + 180811347241950780845697/131916348221014908\ 176848*c_0011_5*c_0101_1^9 - 753384988819319752495063/1319163482210\ 14908176848*c_0011_5*c_0101_1^8 + 510297555164978478715765/65958174\ 110507454088424*c_0011_5*c_0101_1^7 + 337349869932707936126397/65958174110507454088424*c_0011_5*c_0101_1^\ 6 - 2163551291180669776925381/65958174110507454088424*c_0011_5*c_01\ 01_1^5 + 88546723406449303849023/16489543527626863522106*c_0011_5*c\ _0101_1^4 + 192685023023908862124407/65958174110507454088424*c_0011\ _5*c_0101_1^3 - 1595878556060291617988789/131916348221014908176848*\ c_0011_5*c_0101_1^2 + 620401693085858962554127/65958174110507454088\ 424*c_0011_5*c_0101_1 - 89434371116493690886751/1319163482210149081\ 76848*c_0011_5, c_0011_4 + 13099083635379491333927/131916348221014908176848*c_0011_5*c_\ 0101_1^14 - 19909533355304779542177/65958174110507454088424*c_0011_\ 5*c_0101_1^13 + 52854546438944198596839/65958174110507454088424*c_0\ 011_5*c_0101_1^12 - 315166791388672765018565/6595817411050745408842\ 4*c_0011_5*c_0101_1^11 - 1462356595496965529736809/1319163482210149\ 08176848*c_0011_5*c_0101_1^10 + 1667156075191031698675659/131916348\ 221014908176848*c_0011_5*c_0101_1^9 - 806104507781587481241085/131916348221014908176848*c_0011_5*c_0101_1\ ^8 - 2620329515144285268945961/65958174110507454088424*c_0011_5*c_0\ 101_1^7 + 4728881422059052233718199/65958174110507454088424*c_0011_\ 5*c_0101_1^6 + 3313548779251902781335801/65958174110507454088424*c_\ 0011_5*c_0101_1^5 + 59152008315273654380191/16489543527626863522106\ *c_0011_5*c_0101_1^4 + 2431604856012741507115437/659581741105074540\ 88424*c_0011_5*c_0101_1^3 + 87464315941016363138665/131916348221014\ 908176848*c_0011_5*c_0101_1^2 - 418787591700776776310419/6595817411\ 0507454088424*c_0011_5*c_0101_1 - 157503987852599725206309/13191634\ 8221014908176848*c_0011_5, c_0011_5^2 + 2072983152610637484171/263832696442029816353696*c_0101_1^1\ 4 - 2937650876337659922325/131916348221014908176848*c_0101_1^13 + 7715074296195254930035/131916348221014908176848*c_0101_1^12 - 48258405579914926249513/131916348221014908176848*c_0101_1^11 - 251114036267124751439413/263832696442029816353696*c_0101_1^10 + 214477539448313478216543/263832696442029816353696*c_0101_1^9 - 61901877459448916196793/263832696442029816353696*c_0101_1^8 - 419552734683410419901269/131916348221014908176848*c_0101_1^7 + 629705158744282768259515/131916348221014908176848*c_0101_1^6 + 668252359535386583898525/131916348221014908176848*c_0101_1^5 + 41717224569025545785341/32979087055253727044212*c_0101_1^4 + 259357854111202464218289/131916348221014908176848*c_0101_1^3 - 150788707399390059375979/263832696442029816353696*c_0101_1^2 - 38111194370437516510311/131916348221014908176848*c_0101_1 - 55257680665743524000785/263832696442029816353696, c_0101_0 + 1121405744368805858699/32979087055253727044212*c_0101_1^14 - 1712668451022774168867/16489543527626863522106*c_0101_1^13 + 4529455093371101225715/16489543527626863522106*c_0101_1^12 - 27001746149196233666931/16489543527626863522106*c_0101_1^11 - 124685995316317860971493/32979087055253727044212*c_0101_1^10 + 146505341596365589884011/32979087055253727044212*c_0101_1^9 - 65723681930293827869821/32979087055253727044212*c_0101_1^8 - 222919314901704663792849/16489543527626863522106*c_0101_1^7 + 408245815588087152548745/16489543527626863522106*c_0101_1^6 + 280720635689750955843511/16489543527626863522106*c_0101_1^5 + 8265946731174697462699/8244771763813431761053*c_0101_1^4 + 196997516903525783078881/16489543527626863522106*c_0101_1^3 - 57648840975062491249723/32979087055253727044212*c_0101_1^2 - 36169119546339223650475/16489543527626863522106*c_0101_1 - 22958110840065593810869/32979087055253727044212, c_0101_1^15 - 3*c_0101_1^14 + 8*c_0101_1^13 - 48*c_0101_1^12 - 113*c_0101_1^11 + 120*c_0101_1^10 - 60*c_0101_1^9 - 391*c_0101_1^8 + 696*c_0101_1^7 + 516*c_0101_1^6 + 114*c_0101_1^5 + 366*c_0101_1^4 + c_0101_1^3 - 37*c_0101_1^2 - 33*c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB