Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 3347471042] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3467 geometric_solution 6.68035037 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 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 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 0.227956574093 1.553978429207 0 4 6 5 0132 0321 0132 0132 0 0 0 0 0 0 -1 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 -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 0.498129803595 1.102378746836 6 0 3 3 1230 0132 3120 2310 0 0 0 0 0 0 1 -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 1 -1 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 0.266069398211 0.591326478407 2 5 2 0 3201 3012 3120 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390830934060 0.656526033127 6 5 0 1 2031 2103 0132 0321 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 -1 1 -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 0.412545238610 0.483894864424 3 4 1 6 1230 2103 0132 1230 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470148686401 0.709203764559 5 2 4 1 3012 3012 1302 0132 0 0 0 0 0 0 -1 1 -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 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 0.885876356161 0.802585011820 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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_0101_1'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], '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' : d['c_0011_3'], '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' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_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_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 3288041958605/1089035012136*c_0101_2^14 - 2722989286523/1089035012136*c_0101_2^13 - 23285040981763/1089035012136*c_0101_2^12 + 66405409311419/1089035012136*c_0101_2^11 + 9070286264107/181505835356*c_0101_2^10 - 113246958775327/544517506068*c_0101_2^9 + 37043079707385/363011670712*c_0101_2^8 + 15308133819927/90752917678*c_0101_2^7 - 157164457873381/544517506068*c_0101_2^6 + 41321033065783/181505835356*c_0101_2^5 - 3372392665566/45376458839*c_0101_2^4 - 15674395311271/544517506068*c_0101_2^3 + 37795065444587/544517506068*c_0101_2^2 - 34075275530107/1089035012136*c_0101_2 + 6739176795311/1089035012136, c_0011_0 - 1, c_0011_3 - 6033364416/45376458839*c_0101_2^14 + 160087049/45376458839*c_0101_2^13 + 48630490680/45376458839*c_0101_2^12 - 85984165407/45376458839*c_0101_2^11 - 210233061876/45376458839*c_0101_2^10 + 351527846709/45376458839*c_0101_2^9 + 199104359518/45376458839*c_0101_2^8 - 531645680607/45376458839*c_0101_2^7 + 262251085089/45376458839*c_0101_2^6 + 48740378235/45376458839*c_0101_2^5 - 288009216763/45376458839*c_0101_2^4 + 238526301206/45376458839*c_0101_2^3 - 40622879760/45376458839*c_0101_2^2 - 67057948928/45376458839*c_0101_2 + 39941115406/45376458839, c_0011_4 + 130669494/45376458839*c_0101_2^14 + 7344213109/45376458839*c_0101_2^13 - 4260724911/45376458839*c_0101_2^12 - 52201439604/45376458839*c_0101_2^11 + 131951957905/45376458839*c_0101_2^10 + 169983175637/45376458839*c_0101_2^9 - 452340048716/45376458839*c_0101_2^8 + 60140416273/45376458839*c_0101_2^7 + 466792294165/45376458839*c_0101_2^6 - 495113768229/45376458839*c_0101_2^5 + 321494388731/45376458839*c_0101_2^4 - 42575069751/45376458839*c_0101_2^3 - 128964680069/45376458839*c_0101_2^2 + 118084953105/45376458839*c_0101_2 + 4838053319/45376458839, c_0011_5 + 5537608855/45376458839*c_0101_2^14 + 2020369534/45376458839*c_0101_2^13 - 44062907483/45376458839*c_0101_2^12 + 61891610694/45376458839*c_0101_2^11 + 218256291999/45376458839*c_0101_2^10 - 240810993601/45376458839*c_0101_2^9 - 277320308317/45376458839*c_0101_2^8 + 381358131666/45376458839*c_0101_2^7 - 93376486605/45376458839*c_0101_2^6 - 52979725573/45376458839*c_0101_2^5 + 209678348260/45376458839*c_0101_2^4 - 146438212258/45376458839*c_0101_2^3 + 58521284694/45376458839*c_0101_2^2 + 33074492949/45376458839*c_0101_2 - 34016434682/45376458839, c_0101_0 - 1635635691/45376458839*c_0101_2^14 + 2044567611/45376458839*c_0101_2^13 + 8377390031/45376458839*c_0101_2^12 - 36711996113/45376458839*c_0101_2^11 + 6821834325/45376458839*c_0101_2^10 + 80276669510/45376458839*c_0101_2^9 - 168334060959/45376458839*c_0101_2^8 + 88345152520/45376458839*c_0101_2^7 + 212505984756/45376458839*c_0101_2^6 - 312747102386/45376458839*c_0101_2^5 + 236263055286/45376458839*c_0101_2^4 - 132575724919/45376458839*c_0101_2^3 - 25512371143/45376458839*c_0101_2^2 + 62495923789/45376458839*c_0101_2 - 34280023590/45376458839, c_0101_1 + 14926389575/45376458839*c_0101_2^14 - 5902694922/45376458839*c_0101_2^13 - 111906816442/45376458839*c_0101_2^12 + 253339219819/45376458839*c_0101_2^11 + 384238030114/45376458839*c_0101_2^10 - 914158920171/45376458839*c_0101_2^9 - 912612779/45376458839*c_0101_2^8 + 1015507424677/45376458839*c_0101_2^7 - 919296951584/45376458839*c_0101_2^6 + 549926704354/45376458839*c_0101_2^5 + 1418297256/45376458839*c_0101_2^4 - 294895398682/45376458839*c_0101_2^3 + 255656789755/45376458839*c_0101_2^2 - 5397274504/45376458839*c_0101_2 - 38531333273/45376458839, c_0101_2^15 - 8*c_0101_2^13 + 14*c_0101_2^12 + 35*c_0101_2^11 - 56*c_0101_2^10 - 35*c_0101_2^9 + 85*c_0101_2^8 - 30*c_0101_2^7 - 12*c_0101_2^6 + 30*c_0101_2^5 - 22*c_0101_2^4 + 4*c_0101_2^3 + 11*c_0101_2^2 - 6*c_0101_2 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB