Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 4004475441] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1446 geometric_solution 5.26843339 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873735871627 0.947780293012 0 4 2 3 0132 3120 2031 1302 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474192155562 0.570367234598 5 0 5 1 0132 0132 2310 1302 0 0 0 0 0 1 -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 0 0 0 0 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 1.623497630499 0.629247030050 3 3 1 0 1302 2031 2031 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 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 0.519792212926 0.437418544604 4 1 0 4 3012 3120 0132 1230 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 0.076769309181 0.743385396783 2 2 6 6 0132 3201 0132 3201 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359873399455 0.356994953889 6 5 6 5 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.298708016468 0.534890318251 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_5']})} 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_4, c_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 1126731571799686291181/1203379206915873940546*c_0101_5^24 + 36887199631120775501782/601689603457936970273*c_0101_5^22 - 429125684631029715327547/1203379206915873940546*c_0101_5^20 + 546805025738216208429523/601689603457936970273*c_0101_5^18 - 1007518457371007279159953/601689603457936970273*c_0101_5^16 + 2691699818019996841856811/1203379206915873940546*c_0101_5^14 - 1000829619750315114386062/601689603457936970273*c_0101_5^12 + 1086473437785463868479007/1203379206915873940546*c_0101_5^10 - 455186761362788498670521/601689603457936970273*c_0101_5^8 + 250125415285414716982313/601689603457936970273*c_0101_5^6 - 251363261742589746017031/1203379206915873940546*c_0101_5^4 + 8680507719585001801871/109398109719624903686*c_0101_5^2 - 5446581780001601846280/601689603457936970273, c_0011_0 - 1, c_0011_3 - 5759652755823949/22353516493589069*c_0101_5^25 + 380653620052432330/22353516493589069*c_0101_5^23 - 2424239116548208407/22353516493589069*c_0101_5^21 + 6894036596508896529/22353516493589069*c_0101_5^19 - 13487811636230625461/22353516493589069*c_0101_5^17 + 19467208059047460363/22353516493589069*c_0101_5^15 - 17552587366933174154/22353516493589069*c_0101_5^13 + 10329765664721080154/22353516493589069*c_0101_5^11 - 6965213422204275177/22353516493589069*c_0101_5^9 + 4794673186904622566/22353516493589069*c_0101_5^7 - 2338260974085779955/22353516493589069*c_0101_5^5 + 1065746795782439728/22353516493589069*c_0101_5^3 - 208762626443496616/22353516493589069*c_0101_5, c_0011_4 + 1124323460055/9281498609501*c_0101_5^25 - 74482521406778/9281498609501*c_0101_5^23 + 484801004277526/9281498609501*c_0101_5^21 - 1414575125775526/9281498609501*c_0101_5^19 + 2807577759517253/9281498609501*c_0101_5^17 - 4109787107130229/9281498609501*c_0101_5^15 + 3833625682120165/9281498609501*c_0101_5^13 - 2291057075939805/9281498609501*c_0101_5^11 + 1477976532307065/9281498609501*c_0101_5^9 - 1088034003594148/9281498609501*c_0101_5^7 + 547107506286330/9281498609501*c_0101_5^5 - 236451333896222/9281498609501*c_0101_5^3 + 61910717193462/9281498609501*c_0101_5, c_0011_6 - 1389873159011666/22353516493589069*c_0101_5^24 + 90946256993821869/22353516493589069*c_0101_5^22 - 525479071017946733/22353516493589069*c_0101_5^20 + 1321166013019336263/22353516493589069*c_0101_5^18 - 2385436214109697041/22353516493589069*c_0101_5^16 + 3090073852610342316/22353516493589069*c_0101_5^14 - 2115090087028630386/22353516493589069*c_0101_5^12 + 927123101810033153/22353516493589069*c_0101_5^10 - 862247810394384599/22353516493589069*c_0101_5^8 + 532947172753735687/22353516493589069*c_0101_5^6 - 177914950828338175/22353516493589069*c_0101_5^4 + 75478911618937427/22353516493589069*c_0101_5^2 + 6455385951087756/22353516493589069, c_0101_0 + 7467846500450289338/54699054859812451843*c_0101_5^24 - 492508362113316632656/54699054859812451843*c_0101_5^22 + 3075014513241538062511/54699054859812451843*c_0101_5^20 - 8533131136193954083045/54699054859812451843*c_0101_5^18 + 16458656337849654156288/54699054859812451843*c_0101_5^16 - 23415873041192950342714/54699054859812451843*c_0101_5^14 + 20358310208542377593243/54699054859812451843*c_0101_5^12 - 11774951400482164918723/54699054859812451843*c_0101_5^10 + 8333654593297745989824/54699054859812451843*c_0101_5^8 - 5320407709512064462238/54699054859812451843*c_0101_5^6 + 2497432411167904648695/54699054859812451843*c_0101_5^4 - 1214393595821667364270/54699054859812451843*c_0101_5^2 + 145981055110167295886/54699054859812451843, c_0101_2 + 695733195263807/22353516493589069*c_0101_5^25 - 46791725878371232/22353516493589069*c_0101_5^23 + 345692310147032202/22353516493589069*c_0101_5^21 - 1126145563721934920/22353516493589069*c_0101_5^19 + 2338606608882898534/22353516493589069*c_0101_5^17 - 3633561672102845682/22353516493589069*c_0101_5^15 + 3767496411548991106/22353516493589069*c_0101_5^13 - 2378612768042557828/22353516493589069*c_0101_5^11 + 1495345084525169228/22353516493589069*c_0101_5^9 - 1199606454604528053/22353516493589069*c_0101_5^7 + 589634386521513208/22353516493589069*c_0101_5^5 - 241860696486255747/22353516493589069*c_0101_5^3 + 86199407512424515/22353516493589069*c_0101_5, c_0101_5^26 - 66*c_0101_5^24 + 415*c_0101_5^22 - 1161*c_0101_5^20 + 2247*c_0101_5^18 - 3209*c_0101_5^16 + 2824*c_0101_5^14 - 1641*c_0101_5^12 + 1167*c_0101_5^10 - 795*c_0101_5^8 + 371*c_0101_5^6 - 175*c_0101_5^4 + 34*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB