Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 2665415240] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1511 geometric_solution 5.31579255 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 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 0.310663116365 0.628016390429 3 2 4 0 0132 3012 0132 0132 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 -1 0 1 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 0.696192590681 1.071826787432 1 3 0 4 1230 0132 0132 2310 0 0 0 0 0 0 1 -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 -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 0.696192590681 1.071826787432 1 2 3 3 0132 0132 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980987706301 0.934542749825 2 5 5 1 3201 0132 3201 0132 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 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 0.121730645476 0.514750885924 4 4 6 6 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.732856640263 1.511182260441 6 5 5 6 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.547928356319 0.141403932926 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), '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_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 596418337852296056824167/39717891983789393080736*c_0101_5^23 - 2546527822603337840138875/39717891983789393080736*c_0101_5^21 - 14332095062070488686719373/39717891983789393080736*c_0101_5^19 + 27961455148238905142206643/19858945991894696540368*c_0101_5^17 - 1813074199984336151689101/4964736497973674135092*c_0101_5^15 - 53083934580562587999734507/39717891983789393080736*c_0101_5^13 - 15836542474089314258697255/39717891983789393080736*c_0101_5^11 + 46186576261059497181753363/19858945991894696540368*c_0101_5^9 - 49132308139727240502511509/39717891983789393080736*c_0101_5^7 - 5298704614991437816711465/19858945991894696540368*c_0101_5^5 + 1439875766700234078842383/9929472995947348270184*c_0101_5^3 + 3744855392785913970395155/39717891983789393080736*c_0101_5, c_0011_0 - 1, c_0011_1 + 3691535633349105380463/4964736497973674135092*c_0101_5^23 + 17145452872473178457523/4964736497973674135092*c_0101_5^21 + 95541483666581284251165/4964736497973674135092*c_0101_5^19 - 154081474152747031986095/2482368248986837067546*c_0101_5^17 - 3429281162011918834884/1241184124493418533773*c_0101_5^15 + 297894390007695878194131/4964736497973674135092*c_0101_5^13 + 192708255076418005684575/4964736497973674135092*c_0101_5^11 - 239449557469488736988161/2482368248986837067546*c_0101_5^9 + 159732637186701234588477/4964736497973674135092*c_0101_5^7 + 47067969999998134711497/2482368248986837067546*c_0101_5^5 - 1859060975367537249551/1241184124493418533773*c_0101_5^3 - 18775405626895724312679/4964736497973674135092*c_0101_5, c_0011_4 + 82655880907181759478/1241184124493418533773*c_0101_5^22 + 306491513937838280823/1241184124493418533773*c_0101_5^20 + 1819881823671566333818/1241184124493418533773*c_0101_5^18 - 8685121055725169706374/1241184124493418533773*c_0101_5^16 + 7415264609004469476069/1241184124493418533773*c_0101_5^14 + 4864317490865066731489/1241184124493418533773*c_0101_5^12 - 2244754386413218000746/1241184124493418533773*c_0101_5^10 - 14609900268135426828589/1241184124493418533773*c_0101_5^8 + 14277845427167950865801/1241184124493418533773*c_0101_5^6 - 3204825673273337900577/1241184124493418533773*c_0101_5^4 + 122218488338047508383/1241184124493418533773*c_0101_5^2 - 1007576164056682797065/1241184124493418533773, c_0011_6 - 524452810169746471140/1241184124493418533773*c_0101_5^22 - 2393911555192910757515/1241184124493418533773*c_0101_5^20 - 13403167639154055316003/1241184124493418533773*c_0101_5^18 + 44741796560976305309966/1241184124493418533773*c_0101_5^16 - 2263625310555672041640/1241184124493418533773*c_0101_5^14 - 40897934650334463805066/1241184124493418533773*c_0101_5^12 - 24132731752577724914381/1241184124493418533773*c_0101_5^10 + 69648706928366085310770/1241184124493418533773*c_0101_5^8 - 29027765565815595612992/1241184124493418533773*c_0101_5^6 - 9196978236705416637960/1241184124493418533773*c_0101_5^4 - 56999550046787535215/1241184124493418533773*c_0101_5^2 + 2355258631384321610125/1241184124493418533773, c_0101_0 - 471640849233312096756/1241184124493418533773*c_0101_5^22 - 2193084709572150206407/1241184124493418533773*c_0101_5^20 - 12210796580505329504111/1241184124493418533773*c_0101_5^18 + 39314742008464339776146/1241184124493418533773*c_0101_5^16 + 1994374960918427667572/1241184124493418533773*c_0101_5^14 - 39636861526607505888507/1241184124493418533773*c_0101_5^12 - 24051906563698057869822/1241184124493418533773*c_0101_5^10 + 63407846255432828164080/1241184124493418533773*c_0101_5^8 - 18618998800017708088875/1241184124493418533773*c_0101_5^6 - 14313968150675509077004/1241184124493418533773*c_0101_5^4 - 8749704403663634918/1241184124493418533773*c_0101_5^2 + 2695600822621002624698/1241184124493418533773, c_0101_1 - 2081557784287176756705/4964736497973674135092*c_0101_5^23 - 9376622892948326228973/4964736497973674135092*c_0101_5^21 - 52660512884621509669227/4964736497973674135092*c_0101_5^19 + 90420675230534852042529/2482368248986837067546*c_0101_5^17 - 4765268556065562375371/1241184124493418533773*c_0101_5^15 - 150836128694363288055289/4964736497973674135092*c_0101_5^13 - 90927150956702206698069/4964736497973674135092*c_0101_5^11 + 133578962347432833054151/2482368248986837067546*c_0101_5^9 - 135315842485199165133015/4964736497973674135092*c_0101_5^7 - 5489062961705665342551/2482368248986837067546*c_0101_5^5 - 1631307136609355672687/1241184124493418533773*c_0101_5^3 + 8934630300775803435197/4964736497973674135092*c_0101_5, c_0101_5^24 + 37/9*c_0101_5^22 + 211/9*c_0101_5^20 - 874/9*c_0101_5^18 + 376/9*c_0101_5^16 + 709/9*c_0101_5^14 + 89/9*c_0101_5^12 - 154*c_0101_5^10 + 1019/9*c_0101_5^8 - 34/9*c_0101_5^6 - 100/9*c_0101_5^4 - 29/9*c_0101_5^2 + 16/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB