Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 2362249388] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s269 geometric_solution 4.43648543 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 2 0132 0132 0132 3120 0 0 0 0 0 1 0 -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 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 0.630628770995 0.591015953869 0 1 2 1 0132 1302 0321 2031 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 0 0 -1 0 1 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 0.418105819454 0.611693695799 0 0 1 3 3120 0132 0321 1230 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 0 0 0 1 0 -1 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 0.760437805568 1.216745755283 2 4 4 0 3012 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885331628900 0.335067450029 3 3 5 5 2310 0132 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 1.711015379968 0.913640635242 4 5 5 4 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.351533567817 0.142589889970 ==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_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_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_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(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' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 382585257600488433424/158930945098441886753*c_0101_4^18 + 285570290449884785849/158930945098441886753*c_0101_4^17 - 4318649797036488835383/158930945098441886753*c_0101_4^16 - 1275284584997054201170/158930945098441886753*c_0101_4^15 + 12910694779577584933346/158930945098441886753*c_0101_4^14 + 2655726211619433259409/158930945098441886753*c_0101_4^13 - 27731299770867337707750/158930945098441886753*c_0101_4^12 + 27969077177632301394789/158930945098441886753*c_0101_4^11 + 59673336719514979617771/158930945098441886753*c_0101_4^10 - 89267398780287778478324/158930945098441886753*c_0101_4^9 - 85755115537816116177831/158930945098441886753*c_0101_4^8 + 51788169403041258396918/158930945098441886753*c_0101_4^7 + 97702510585958902216382/158930945098441886753*c_0101_4^6 - 59545813911835564759364/158930945098441886753*c_0101_4^5 - 27869507109523316694441/158930945098441886753*c_0101_4^4 + 72226894608479422351860/158930945098441886753*c_0101_4^3 - 50404850006342985668952/158930945098441886753*c_0101_4^2 + 18460706880167173269503/158930945098441886753*c_0101_4 - 3473902079572727343811/158930945098441886753, c_0011_0 - 1, c_0011_3 + 73579744092270563745/158930945098441886753*c_0101_4^18 + 77078543916689346984/158930945098441886753*c_0101_4^17 - 812025494193479783756/158930945098441886753*c_0101_4^16 - 487278299479363020683/158930945098441886753*c_0101_4^15 + 2401933406699290255217/158930945098441886753*c_0101_4^14 + 1196900955951640183257/158930945098441886753*c_0101_4^13 - 5232564914328207761967/158930945098441886753*c_0101_4^12 + 3864303051169614534764/158930945098441886753*c_0101_4^11 + 13213331247803864209188/158930945098441886753*c_0101_4^10 - 13729790322002786617671/158930945098441886753*c_0101_4^9 - 21357093812976081366447/158930945098441886753*c_0101_4^8 + 5759894809531298214105/158930945098441886753*c_0101_4^7 + 21816244437293844390036/158930945098441886753*c_0101_4^6 - 7406136150075830210043/158930945098441886753*c_0101_4^5 - 10471718234087834179190/158930945098441886753*c_0101_4^4 + 12237733126573478815876/158930945098441886753*c_0101_4^3 - 5025241507557898848469/158930945098441886753*c_0101_4^2 + 511119253146276238480/158930945098441886753*c_0101_4 + 181696781373617097340/158930945098441886753, c_0011_5 - 69670327657196994679/158930945098441886753*c_0101_4^18 - 74254843763473892217/158930945098441886753*c_0101_4^17 + 766125134662222307391/158930945098441886753*c_0101_4^16 + 475130780446449550647/158930945098441886753*c_0101_4^15 - 2246141872889866878839/158930945098441886753*c_0101_4^14 - 1169765666851830219011/158930945098441886753*c_0101_4^13 + 4863432032765754116561/158930945098441886753*c_0101_4^12 - 3614338730374247291495/158930945098441886753*c_0101_4^11 - 12462808209134330291590/158930945098441886753*c_0101_4^10 + 12704210263010965609556/158930945098441886753*c_0101_4^9 + 20202250234481472507125/158930945098441886753*c_0101_4^8 - 4675693434654705210357/158930945098441886753*c_0101_4^7 - 20014681564206369751826/158930945098441886753*c_0101_4^6 + 6681040887646837394272/158930945098441886753*c_0101_4^5 + 9229118200976619279046/158930945098441886753*c_0101_4^4 - 11564444994314334900670/158930945098441886753*c_0101_4^3 + 4744341511269113447448/158930945098441886753*c_0101_4^2 - 675826356227880134747/158930945098441886753*c_0101_4 - 166554889145797594245/158930945098441886753, c_0101_0 + 67948272289203906302/158930945098441886753*c_0101_4^18 + 67944995023616316883/158930945098441886753*c_0101_4^17 - 754035932232171665610/158930945098441886753*c_0101_4^16 - 415007226596656508246/158930945098441886753*c_0101_4^15 + 2249542067303562592974/158930945098441886753*c_0101_4^14 + 1006703942193576093816/158930945098441886753*c_0101_4^13 - 4923684491992494270089/158930945098441886753*c_0101_4^12 + 3765219212657688963549/158930945098441886753*c_0101_4^11 + 12115832830017271270588/158930945098441886753*c_0101_4^10 - 13246062434675775210030/158930945098441886753*c_0101_4^9 - 19308935064030569262141/158930945098441886753*c_0101_4^8 + 6418633472330111686979/158930945098441886753*c_0101_4^7 + 20371756308029368329816/158930945098441886753*c_0101_4^6 - 7855546580596324313085/158930945098441886753*c_0101_4^5 - 10076739156389555395205/158930945098441886753*c_0101_4^4 + 11485722848604563480955/158930945098441886753*c_0101_4^3 - 4867159744067976782765/158930945098441886753*c_0101_4^2 + 817212252433106097736/158930945098441886753*c_0101_4 + 180158667098949564674/158930945098441886753, c_0101_3 + 4073344434788773681/158930945098441886753*c_0101_4^18 - 1916111226515541636/158930945098441886753*c_0101_4^17 - 60874591161126754700/158930945098441886753*c_0101_4^16 + 22576693707884118174/158930945098441886753*c_0101_4^15 + 262628887906623503401/158930945098441886753*c_0101_4^14 + 13801198789268283471/158930945098441886753*c_0101_4^13 - 579046939103452476921/158930945098441886753*c_0101_4^12 + 283830165049458362974/158930945098441886753*c_0101_4^11 + 785873265839477945639/158930945098441886753*c_0101_4^10 - 1896272380075415993416/158930945098441886753*c_0101_4^9 - 1827517917096821153657/158930945098441886753*c_0101_4^8 + 2141666649789056116649/158930945098441886753*c_0101_4^7 + 3959983774837042148743/158930945098441886753*c_0101_4^6 + 48969684185604608444/158930945098441886753*c_0101_4^5 - 1675997811344266348081/158930945098441886753*c_0101_4^4 + 176014650601803720700/158930945098441886753*c_0101_4^3 - 673791920068640206885/158930945098441886753*c_0101_4^2 + 81220004223619726103/158930945098441886753*c_0101_4 - 60485664893868577989/158930945098441886753, c_0101_4^19 + c_0101_4^18 - 11*c_0101_4^17 - 6*c_0101_4^16 + 32*c_0101_4^15 + 14*c_0101_4^14 - 69*c_0101_4^13 + 58*c_0101_4^12 + 171*c_0101_4^11 - 192*c_0101_4^10 - 265*c_0101_4^9 + 78*c_0101_4^8 + 262*c_0101_4^7 - 113*c_0101_4^6 - 106*c_0101_4^5 + 172*c_0101_4^4 - 91*c_0101_4^3 + 22*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB