Magma V2.19-8 Tue Aug 20 2013 17:59:30 on localhost [Seed = 678010062] Type ? for help. Type -D to quit. Loading file "10^2_67__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_67 geometric_solution 13.02278567 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 2 0132 0132 0132 1230 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 0 0 0 0 0 0 1 0 -1 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 -0.035285962344 1.360529033518 0 4 4 5 0132 0132 1302 0132 0 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 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 -0.083565036251 1.409991436054 0 0 6 5 3012 0132 0132 1230 0 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 0 0 0 0 0 -1 0 1 1 0 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 0.354203513613 0.465479279708 7 8 5 0 0132 0132 2310 0132 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 2 -1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294031973336 1.207411846545 1 1 9 10 2031 0132 0132 0132 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 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 1.041885998217 0.706741735843 2 3 1 9 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080772891474 0.426862051238 11 11 8 2 0132 1230 0132 0132 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 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 0.501283226943 0.951505345930 3 12 8 9 0132 0132 1023 3201 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 -1 0 1 0 0 0 0 -1 0 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308664327517 0.466524723124 13 3 7 6 0132 0132 1023 0132 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431433753982 1.289201231108 5 7 12 4 3012 2310 0321 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 1 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398868195581 0.672049428115 13 13 4 12 3120 1230 0132 1023 0 0 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 1 1 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631119575901 0.731123108684 6 13 6 12 0132 3120 3012 3120 0 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 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 0.566606667162 0.822640876299 11 7 9 10 3120 0132 0321 1023 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 1 -1 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729536808782 0.710981702640 8 11 10 10 0132 3120 3012 3120 1 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 -1 1 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631119575901 0.731123108684 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_1001_12']), 'c_1001_8' : d['c_0101_0'], 'c_1010_13' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0101_13'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_1001_12'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_9'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_1001_12'], 'c_1100_13' : negation(d['c_0101_10']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : negation(d['c_0101_12']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0011_9'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_13'], 'c_0110_10' : d['c_0101_8'], 'c_0110_13' : d['c_0101_8'], 'c_0110_12' : d['c_0101_13'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 's_3_12' : d['1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_13'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_8'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_11'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_5, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_13, c_0101_3, c_0101_4, c_0101_8, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 13412729034634004578129/716821602894677441844*c_1001_12^13 - 1970909961089900865547/716821602894677441844*c_1001_12^12 + 47820789028415635803653/358410801447338720922*c_1001_12^11 + 80089884798880370304473/238940534298225813948*c_1001_12^10 + 89656724724946926936073/716821602894677441844*c_1001_12^9 - 89074749971332190192309/79646844766075271316*c_1001_12^8 - 2803232972586168042846179/716821602894677441844*c_1001_12^7 - 5303573120341753192777537/716821602894677441844*c_1001_12^6 - 64185114298682103798283/6637237063839605943*c_1001_12^5 - 6688947334158906856442921/716821602894677441844*c_1001_12^4 - 2440585528130211568647685/358410801447338720922*c_1001_12^3 - 259544613321032053486523/79646844766075271316*c_1001_12^2 - 166121966571379861365676/179205400723669360461*c_1001_12 - 140370138441318647504507/716821602894677441844, c_0011_0 - 1, c_0011_10 - 189022939/960874994*c_1001_12^13 - 63627781/480437497*c_1001_12^12 + 675136183/480437497*c_1001_12^11 + 4096008799/960874994*c_1001_12^10 + 2902417541/960874994*c_1001_12^9 - 5419067282/480437497*c_1001_12^8 - 45491656521/960874994*c_1001_12^7 - 94707781887/960874994*c_1001_12^6 - 67030179799/480437497*c_1001_12^5 - 139581449559/960874994*c_1001_12^4 - 55035397101/480437497*c_1001_12^3 - 29779798266/480437497*c_1001_12^2 - 9393744889/480437497*c_1001_12 - 1672693870/480437497, c_0011_12 - 30353574/480437497*c_1001_12^13 + 26346207/480437497*c_1001_12^12 + 249482129/480437497*c_1001_12^11 + 284262865/480437497*c_1001_12^10 - 549617391/480437497*c_1001_12^9 - 2175504701/480437497*c_1001_12^8 - 4023929186/480437497*c_1001_12^7 - 3953075016/480437497*c_1001_12^6 - 639193784/480437497*c_1001_12^5 + 3814674108/480437497*c_1001_12^4 + 5939292559/480437497*c_1001_12^3 + 6256480248/480437497*c_1001_12^2 + 3626584274/480437497*c_1001_12 + 524885105/480437497, c_0011_5 - 446810829/960874994*c_1001_12^13 - 103189171/960874994*c_1001_12^12 + 1624155900/480437497*c_1001_12^11 + 4123354081/480437497*c_1001_12^10 + 1573214448/480437497*c_1001_12^9 - 13690478431/480437497*c_1001_12^8 - 95285491923/960874994*c_1001_12^7 - 90043081494/480437497*c_1001_12^6 - 234365318917/960874994*c_1001_12^5 - 224166010717/960874994*c_1001_12^4 - 162082480149/960874994*c_1001_12^3 - 38095882372/480437497*c_1001_12^2 - 9872567701/480437497*c_1001_12 - 4272785665/960874994, c_0011_9 + 119540088/480437497*c_1001_12^13 + 16925470/480437497*c_1001_12^12 - 884581016/480437497*c_1001_12^11 - 2143195874/480437497*c_1001_12^10 - 501733995/480437497*c_1001_12^9 + 7682407414/480437497*c_1001_12^8 + 24792534666/480437497*c_1001_12^7 + 44617281195/480437497*c_1001_12^6 + 55380662660/480437497*c_1001_12^5 + 49908583432/480437497*c_1001_12^4 + 33737754423/480437497*c_1001_12^3 + 13884122088/480437497*c_1001_12^2 + 2065216471/480437497*c_1001_12 + 238466750/480437497, c_0101_0 - 1, c_0101_10 - 2199039/3395318*c_1001_12^13 - 142827/1697659*c_1001_12^12 + 15594477/3395318*c_1001_12^11 + 39153159/3395318*c_1001_12^10 + 14753071/3395318*c_1001_12^9 - 130495527/3395318*c_1001_12^8 - 228895020/1697659*c_1001_12^7 - 867525075/3395318*c_1001_12^6 - 1137155935/3395318*c_1001_12^5 - 551258818/1697659*c_1001_12^4 - 403710979/1697659*c_1001_12^3 - 390969017/3395318*c_1001_12^2 - 57914834/1697659*c_1001_12 - 12846954/1697659, c_0101_11 - 446810829/960874994*c_1001_12^13 - 103189171/960874994*c_1001_12^12 + 1624155900/480437497*c_1001_12^11 + 4123354081/480437497*c_1001_12^10 + 1573214448/480437497*c_1001_12^9 - 13690478431/480437497*c_1001_12^8 - 95285491923/960874994*c_1001_12^7 - 90043081494/480437497*c_1001_12^6 - 234365318917/960874994*c_1001_12^5 - 224166010717/960874994*c_1001_12^4 - 162082480149/960874994*c_1001_12^3 - 38095882372/480437497*c_1001_12^2 - 9872567701/480437497*c_1001_12 - 3311910671/960874994, c_0101_12 - 222985661/960874994*c_1001_12^13 - 35700064/480437497*c_1001_12^12 + 781755225/480437497*c_1001_12^11 + 2153252190/480437497*c_1001_12^10 + 2329754085/960874994*c_1001_12^9 - 6479189111/480437497*c_1001_12^8 - 24790445907/480437497*c_1001_12^7 - 48756769109/480437497*c_1001_12^6 - 66001547294/480437497*c_1001_12^5 - 65423216664/480437497*c_1001_12^4 - 97829906219/960874994*c_1001_12^3 - 24486260835/480437497*c_1001_12^2 - 16112400401/960874994*c_1001_12 - 1546297461/480437497, c_0101_13 - 78282260/480437497*c_1001_12^13 - 48760665/480437497*c_1001_12^12 + 523643462/480437497*c_1001_12^11 + 1697415698/480437497*c_1001_12^10 + 1397172758/480437497*c_1001_12^9 - 4120947925/480437497*c_1001_12^8 - 19035445681/480437497*c_1001_12^7 - 40743284748/480437497*c_1001_12^6 - 59139952898/480437497*c_1001_12^5 - 62296850169/480437497*c_1001_12^4 - 48946889734/480437497*c_1001_12^3 - 26189579657/480437497*c_1001_12^2 - 8351744219/480437497*c_1001_12 - 1034269280/480437497, c_0101_3 + 36377177/960874994*c_1001_12^13 + 22420266/480437497*c_1001_12^12 - 363543403/960874994*c_1001_12^11 - 832516955/960874994*c_1001_12^10 - 255134373/960874994*c_1001_12^9 + 3139456301/960874994*c_1001_12^8 + 4633949299/480437497*c_1001_12^7 + 16410033105/960874994*c_1001_12^6 + 18066537453/960874994*c_1001_12^5 + 6976999582/480437497*c_1001_12^4 + 3244073843/480437497*c_1001_12^3 - 43185185/960874994*c_1001_12^2 - 1932075954/480437497*c_1001_12 - 706229935/480437497, c_0101_4 + 292975430/480437497*c_1001_12^13 + 17999775/480437497*c_1001_12^12 - 2024846794/480437497*c_1001_12^11 - 5123913521/480437497*c_1001_12^10 - 1959992360/480437497*c_1001_12^9 + 16895388920/480437497*c_1001_12^8 + 60143341361/480437497*c_1001_12^7 + 114549781560/480437497*c_1001_12^6 + 151874296076/480437497*c_1001_12^5 + 149029245912/480437497*c_1001_12^4 + 111006133214/480437497*c_1001_12^3 + 55343708498/480437497*c_1001_12^2 + 18321973976/480437497*c_1001_12 + 4341917917/480437497, c_0101_8 + 76871848/480437497*c_1001_12^13 - 27469123/480437497*c_1001_12^12 - 555913722/480437497*c_1001_12^11 - 1096899754/480437497*c_1001_12^10 + 392054219/960874994*c_1001_12^9 + 4905197547/480437497*c_1001_12^8 + 13580906625/480437497*c_1001_12^7 + 43923126023/960874994*c_1001_12^6 + 48316753829/960874994*c_1001_12^5 + 19185503088/480437497*c_1001_12^4 + 21704548347/960874994*c_1001_12^3 + 4981472711/960874994*c_1001_12^2 - 583224756/480437497*c_1001_12 + 585460313/960874994, c_1001_12^14 + c_1001_12^13 - 7*c_1001_12^12 - 24*c_1001_12^11 - 22*c_1001_12^10 + 54*c_1001_12^9 + 260*c_1001_12^8 + 574*c_1001_12^7 + 855*c_1001_12^6 + 941*c_1001_12^5 + 791*c_1001_12^4 + 486*c_1001_12^3 + 199*c_1001_12^2 + 53*c_1001_12 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.400 Total time: 1.620 seconds, Total memory usage: 32.09MB