Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 1646526124] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2255 geometric_solution 5.68431433 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 1.609682019946 0.395274040496 0 2 3 0 3201 0132 0132 0132 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 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 0.925377451009 0.568514262924 4 1 3 5 0132 0132 1302 0132 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488376628613 0.695443902911 2 5 4 1 2031 2310 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 0 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 0.488376628613 0.695443902911 2 6 6 3 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 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285142166018 0.410676749087 5 5 2 3 1302 2031 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419310342453 0.464760423278 6 4 4 6 3201 0132 1023 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 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 1.436975044304 0.876736456324 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : 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' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), '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_0110_5']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), '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' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), '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_5, c_0101_0, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t - 205970677451505247/300976040034214*c_0101_6*c_0110_5^16 + 376285760009067311/150488020017107*c_0101_6*c_0110_5^15 + 1699084661181982301/300976040034214*c_0101_6*c_0110_5^14 - 5465319917328631069/150488020017107*c_0101_6*c_0110_5^13 + 13323478149245520529/300976040034214*c_0101_6*c_0110_5^12 + 34958637311876386480/150488020017107*c_0101_6*c_0110_5^11 - 38980813594195367588/150488020017107*c_0101_6*c_0110_5^10 - 154945680270812477309/300976040034214*c_0101_6*c_0110_5^9 + 72168849875476620188/150488020017107*c_0101_6*c_0110_5^8 + 165222029766237223117/300976040034214*c_0101_6*c_0110_5^7 - 136133782958822634033/300976040034214*c_0101_6*c_0110_5^6 - 48189299913116216541/150488020017107*c_0101_6*c_0110_5^5 + 37419896692906655772/150488020017107*c_0101_6*c_0110_5^4 + 14329564213281440763/150488020017107*c_0101_6*c_0110_5^3 - 10679742894193468604/150488020017107*c_0101_6*c_0110_5^2 - 1664508497405166844/150488020017107*c_0101_6*c_0110_5 + 2180482636348518081/300976040034214*c_0101_6, c_0011_0 - 1, c_0011_1 + 4425188591230906/150488020017107*c_0110_5^16 - 16051888866949673/150488020017107*c_0110_5^15 - 36970327907327172/150488020017107*c_0110_5^14 + 234074366276703125/150488020017107*c_0110_5^13 - 279949447533550471/150488020017107*c_0110_5^12 - 1512102770173653447/150488020017107*c_0110_5^11 + 1640854845637843648/150488020017107*c_0110_5^10 + 3381459245791610475/150488020017107*c_0110_5^9 - 3042959519906732145/150488020017107*c_0110_5^8 - 3633669436870438402/150488020017107*c_0110_5^7 + 2882054607205777619/150488020017107*c_0110_5^6 + 2134583878226227393/150488020017107*c_0110_5^5 - 1594145929204065017/150488020017107*c_0110_5^4 - 642213722611427153/150488020017107*c_0110_5^3 + 459496689874586144/150488020017107*c_0110_5^2 + 75069981241239711/150488020017107*c_0110_5 - 47064404737502371/150488020017107, c_0011_3 + 21372511071000/150488020017107*c_0101_6*c_0110_5^16 - 190989379209288/150488020017107*c_0101_6*c_0110_5^15 + 122295445470926/150488020017107*c_0101_6*c_0110_5^14 + 2409048722253760/150488020017107*c_0101_6*c_0110_5^13 - 6233264431186539/150488020017107*c_0101_6*c_0110_5^12 - 5205049608281375/150488020017107*c_0101_6*c_0110_5^11 + 50583883791534088/150488020017107*c_0101_6*c_0110_5^10 + 13738790888132362/150488020017107*c_0101_6*c_0110_5^9 - 116142561283014469/150488020017107*c_0101_6*c_0110_5^8 - 27974679413713347/150488020017107*c_0101_6*c_0110_5^7 + 121084834968344024/150488020017107*c_0101_6*c_0110_5^6 + 24629626444024924/150488020017107*c_0101_6*c_0110_5^5 - 68716909070188073/150488020017107*c_0101_6*c_0110_5^4 - 9444588868973678/150488020017107*c_0101_6*c_0110_5^3 + 21266655902152465/150488020017107*c_0101_6*c_0110_5^2 + 1588357280213049/150488020017107*c_0101_6*c_0110_5 - 2316136149851255/150488020017107*c_0101_6, c_0011_5 - 3546768205316418/150488020017107*c_0101_6*c_0110_5^16 + 12921167360561761/150488020017107*c_0101_6*c_0110_5^15 + 29436556159071220/150488020017107*c_0101_6*c_0110_5^14 - 188077897486040953/150488020017107*c_0101_6*c_0110_5^13 + 227183344978701681/150488020017107*c_0101_6*c_0110_5^12 + 1208619065306911825/150488020017107*c_0101_6*c_0110_5^11 - 1333437682585380341/150488020017107*c_0101_6*c_0110_5^10 - 2693455661130113313/150488020017107*c_0101_6*c_0110_5^9 + 2476984098751133133/150488020017107*c_0101_6*c_0110_5^8 + 2887982295202901149/150488020017107*c_0101_6*c_0110_5^7 - 2345419908124107105/150488020017107*c_0101_6*c_0110_5^6 - 1694152461865619751/150488020017107*c_0101_6*c_0110_5^5 + 1294630625528301543/150488020017107*c_0101_6*c_0110_5^4 + 508055268715983842/150488020017107*c_0101_6*c_0110_5^3 - 371876931437392398/150488020017107*c_0101_6*c_0110_5^2 - 59319882660734968/150488020017107*c_0101_6*c_0110_5 + 37966787320355267/150488020017107*c_0101_6, c_0101_0 - 2953160536227761/150488020017107*c_0110_5^16 + 10703023889075724/150488020017107*c_0110_5^15 + 24696551130088596/150488020017107*c_0110_5^14 - 156104619885230094/150488020017107*c_0110_5^13 + 186420307811796483/150488020017107*c_0110_5^12 + 1009280404068868456/150488020017107*c_0110_5^11 - 1091450220175691716/150488020017107*c_0110_5^10 - 2257089111388563523/150488020017107*c_0110_5^9 + 2022482907500240696/150488020017107*c_0110_5^8 + 2426205326693201342/150488020017107*c_0110_5^7 - 1914789054241077491/150488020017107*c_0110_5^6 - 1426675778931907496/150488020017107*c_0110_5^5 + 1059304330967535111/150488020017107*c_0110_5^4 + 430240011828167355/150488020017107*c_0110_5^3 - 305540619072928506/150488020017107*c_0110_5^2 - 50772539172586715/150488020017107*c_0110_5 + 31376929249171746/150488020017107, c_0101_6^2 - 1462756124879907/300976040034214*c_0110_5^16 + 2596376705907536/150488020017107*c_0110_5^15 + 12519063647668809/300976040034214*c_0110_5^14 - 38051553020574218/150488020017107*c_0110_5^13 + 87707700640265045/300976040034214*c_0110_5^12 + 250983359816717500/150488020017107*c_0110_5^11 - 250067351971898726/150488020017107*c_0110_5^10 - 1119630780133605813/300976040034214*c_0110_5^9 + 454114489845005078/150488020017107*c_0110_5^8 + 1190998849374094607/300976040034214*c_0110_5^7 - 852299333404878925/300976040034214*c_0110_5^6 - 346882667173752030/150488020017107*c_0110_5^5 + 234969406966757169/150488020017107*c_0110_5^4 + 103615652707572707/150488020017107*c_0110_5^3 - 67329587598192191/150488020017107*c_0110_5^2 - 11887479088172947/150488020017107*c_0110_5 + 13631569327364389/300976040034214, c_0110_5^17 - 4*c_0110_5^16 - 7*c_0110_5^15 + 56*c_0110_5^14 - 83*c_0110_5^13 - 318*c_0110_5^12 + 498*c_0110_5^11 + 625*c_0110_5^10 - 972*c_0110_5^9 - 563*c_0110_5^8 + 957*c_0110_5^7 + 238*c_0110_5^6 - 540*c_0110_5^5 - 10*c_0110_5^4 + 158*c_0110_5^3 - 22*c_0110_5^2 - 17*c_0110_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB