Magma V2.19-8 Tue Aug 20 2013 16:19:07 on localhost [Seed = 1242289968] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3249 geometric_solution 6.37833001 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126071383089 0.446175224223 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.133505092871 2.260661490335 1 3 0 5 1230 1230 0132 0132 0 0 0 0 0 1 -1 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 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 0.561895313915 0.737427393667 1 6 2 5 0132 0132 3012 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 1 0 -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 0.164171351875 0.797884821926 6 6 5 1 2310 1302 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 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 0.360115107306 0.539333603659 6 3 2 4 0213 0321 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 -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 -0.005399392335 1.584074071795 5 3 4 4 0213 0132 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386976411995 1.028923862761 ==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' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_1'], '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_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_2']), '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' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], '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_2, c_0011_5, c_0101_0, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 1010896637816254327/71668480238674325*c_1100_0^16 - 8843159460912530636/71668480238674325*c_1100_0^15 - 28850017622231835254/71668480238674325*c_1100_0^14 - 33684953294939655539/71668480238674325*c_1100_0^13 + 6088791758054020949/14333696047734865*c_1100_0^12 + 114658117952881138657/71668480238674325*c_1100_0^11 + 68064561450457144036/71668480238674325*c_1100_0^10 - 72098143080591424957/71668480238674325*c_1100_0^9 - 164119195292734990838/71668480238674325*c_1100_0^8 - 20319335116249048988/14333696047734865*c_1100_0^7 + 163721019107814607372/71668480238674325*c_1100_0^6 + 20481014159603666971/14333696047734865*c_1100_0^5 + 40975786737159506832/71668480238674325*c_1100_0^4 - 133534828077104374829/71668480238674325*c_1100_0^3 - 40177054362083418822/71668480238674325*c_1100_0^2 + 52650751437860305767/71668480238674325*c_1100_0 + 7223748716529757631/71668480238674325, c_0011_0 - 1, c_0011_1 + 130383347029502/2866739209546973*c_1100_0^16 + 1061218898949918/2866739209546973*c_1100_0^15 + 2960413337968396/2866739209546973*c_1100_0^14 + 1413471477507417/2866739209546973*c_1100_0^13 - 9307107626855836/2866739209546973*c_1100_0^12 - 17946681304575056/2866739209546973*c_1100_0^11 - 4110574929145894/2866739209546973*c_1100_0^10 + 18230702681208330/2866739209546973*c_1100_0^9 + 25756182591924278/2866739209546973*c_1100_0^8 + 7679598588386999/2866739209546973*c_1100_0^7 - 32170007925327567/2866739209546973*c_1100_0^6 - 12025117034197083/2866739209546973*c_1100_0^5 - 1886394821933578/2866739209546973*c_1100_0^4 + 23795340078063405/2866739209546973*c_1100_0^3 + 1031122212108664/2866739209546973*c_1100_0^2 - 10687187934085050/2866739209546973*c_1100_0 + 1165819382626928/2866739209546973, c_0011_2 - 401771109408203/2866739209546973*c_1100_0^16 - 3508589036347747/2866739209546973*c_1100_0^15 - 11367366406784872/2866739209546973*c_1100_0^14 - 12728377082716356/2866739209546973*c_1100_0^13 + 14404963339608682/2866739209546973*c_1100_0^12 + 49825214622619693/2866739209546973*c_1100_0^11 + 29713053046669819/2866739209546973*c_1100_0^10 - 33297027982226295/2866739209546973*c_1100_0^9 - 75707656642474792/2866739209546973*c_1100_0^8 - 46397464568223973/2866739209546973*c_1100_0^7 + 70286114265597950/2866739209546973*c_1100_0^6 + 52975919774298387/2866739209546973*c_1100_0^5 + 22046781025109397/2866739209546973*c_1100_0^4 - 58558871718456746/2866739209546973*c_1100_0^3 - 22018300989535377/2866739209546973*c_1100_0^2 + 19233290610930594/2866739209546973*c_1100_0 + 6192970705265187/2866739209546973, c_0011_5 - 191648495640605/2866739209546973*c_1100_0^16 - 1698656467832304/2866739209546973*c_1100_0^15 - 5735981486276327/2866739209546973*c_1100_0^14 - 7765172985302313/2866739209546973*c_1100_0^13 + 1907742266866868/2866739209546973*c_1100_0^12 + 15990075343578171/2866739209546973*c_1100_0^11 + 10507296654539597/2866739209546973*c_1100_0^10 - 7276584435402305/2866739209546973*c_1100_0^9 - 19267306787163994/2866739209546973*c_1100_0^8 - 12672442722222194/2866739209546973*c_1100_0^7 + 25801025342124435/2866739209546973*c_1100_0^6 + 7021782962513658/2866739209546973*c_1100_0^5 + 1245705248491280/2866739209546973*c_1100_0^4 - 20704327805363193/2866739209546973*c_1100_0^3 - 2819500732993598/2866739209546973*c_1100_0^2 + 12830143327593879/2866739209546973*c_1100_0 - 2551535520270793/2866739209546973, c_0101_0 - 1311397026/17838741091*c_1100_0^16 - 11124151043/17838741091*c_1100_0^15 - 34003051178/17838741091*c_1100_0^14 - 30200577770/17838741091*c_1100_0^13 + 64183916023/17838741091*c_1100_0^12 + 159053881122/17838741091*c_1100_0^11 + 50225013035/17838741091*c_1100_0^10 - 158390159792/17838741091*c_1100_0^9 - 237264949001/17838741091*c_1100_0^8 - 81887124493/17838741091*c_1100_0^7 + 290173562392/17838741091*c_1100_0^6 + 134593868772/17838741091*c_1100_0^5 + 13486911064/17838741091*c_1100_0^4 - 211957905884/17838741091*c_1100_0^3 - 36811985594/17838741091*c_1100_0^2 + 99053954619/17838741091*c_1100_0 - 6587010129/17838741091, c_0101_4 + 438410095795144/2866739209546973*c_1100_0^16 + 3886909741585128/2866739209546973*c_1100_0^15 + 13027509515668386/2866739209546973*c_1100_0^14 + 16669202454048346/2866739209546973*c_1100_0^13 - 9339339230756049/2866739209546973*c_1100_0^12 - 47732141420324625/2866739209546973*c_1100_0^11 - 34301168837558045/2866739209546973*c_1100_0^10 + 22626609828532832/2866739209546973*c_1100_0^9 + 67027741680048279/2866739209546973*c_1100_0^8 + 48596039299474491/2866739209546973*c_1100_0^7 - 60647534852977050/2866739209546973*c_1100_0^6 - 42036927153888228/2866739209546973*c_1100_0^5 - 21536420333503046/2866739209546973*c_1100_0^4 + 56046812643154576/2866739209546973*c_1100_0^3 + 17932277083762623/2866739209546973*c_1100_0^2 - 19526113468671062/2866739209546973*c_1100_0 - 5022889739569620/2866739209546973, c_1100_0^17 + 8*c_1100_0^16 + 22*c_1100_0^15 + 12*c_1100_0^14 - 55*c_1100_0^13 - 91*c_1100_0^12 + 17*c_1100_0^11 + 121*c_1100_0^10 + 109*c_1100_0^9 - 20*c_1100_0^8 - 236*c_1100_0^7 + 20*c_1100_0^6 + 34*c_1100_0^5 + 162*c_1100_0^4 - 59*c_1100_0^3 - 81*c_1100_0^2 + 32*c_1100_0 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB