Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 3701293075] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0383 geometric_solution 4.44993679 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.485557672807 1.164946797678 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.589135372943 0.131211558053 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 -1 1 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 -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 0.275408609061 0.687009572070 5 2 4 4 0132 0132 2103 3201 0 0 0 0 0 0 0 0 -1 0 1 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 1 -1 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 0.400397578489 1.291968390702 3 3 5 2 2103 2310 2310 0132 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 1 0 -1 1 0 -1 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 0.400397578489 1.291968390702 3 4 6 6 0132 3201 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218665823093 0.290344543917 5 6 5 6 2310 2310 0132 3201 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.484307161997 0.740301722092 ==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' : negation(d['1']), 's_2_3' : negation(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' : 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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 74692506734122549204/2194944962170244535*c_0101_5^15 - 19972948319586921836/81294257858157205*c_0101_5^14 + 162501693754831707176/243882773574471615*c_0101_5^13 - 221907992991974206556/243882773574471615*c_0101_5^12 + 3184089640365486599182/2194944962170244535*c_0101_5^11 - 6266945844002048540432/2194944962170244535*c_0101_5^10 + 3235964173993954702759/2194944962170244535*c_0101_5^9 + 2694611955960103276904/2194944962170244535*c_0101_5^8 - 422453035305800843638/438988992434048907*c_0101_5^7 - 168641257067643495639/81294257858157205*c_0101_5^6 + 200385984046839379775/146329664144682969*c_0101_5^5 + 9548515338036460405/48776554714894323*c_0101_5^4 + 316741113884984875076/2194944962170244535*c_0101_5^3 - 22276151177055187724/2194944962170244535*c_0101_5^2 + 23943800938083513514/2194944962170244535*c_0101_5 - 154949555516948662957/2194944962170244535, c_0011_0 - 1, c_0011_2 - 5069121637210624/16258851571631441*c_0101_5^15 + 29472859066693508/16258851571631441*c_0101_5^14 - 52576987783028916/16258851571631441*c_0101_5^13 + 27576160352184086/16258851571631441*c_0101_5^12 - 100374398134783324/16258851571631441*c_0101_5^11 + 206965790679629726/16258851571631441*c_0101_5^10 + 218372579102288789/16258851571631441*c_0101_5^9 - 174750369765739598/16258851571631441*c_0101_5^8 - 152716393002952313/16258851571631441*c_0101_5^7 + 352839880611240318/16258851571631441*c_0101_5^6 + 245771871618517631/16258851571631441*c_0101_5^5 - 8300158021548713/16258851571631441*c_0101_5^4 - 54830780697171731/16258851571631441*c_0101_5^3 - 51771384048953671/16258851571631441*c_0101_5^2 - 44382047798379402/16258851571631441*c_0101_5 - 1362399378303052/16258851571631441, c_0011_4 - 14289394764760862/16258851571631441*c_0101_5^15 + 99041068536493436/16258851571631441*c_0101_5^14 - 253325824482716134/16258851571631441*c_0101_5^13 + 323263565243588197/16258851571631441*c_0101_5^12 - 550652090297416751/16258851571631441*c_0101_5^11 + 1080755806801722388/16258851571631441*c_0101_5^10 - 378514818711756334/16258851571631441*c_0101_5^9 - 485698896709471593/16258851571631441*c_0101_5^8 + 248478129646165749/16258851571631441*c_0101_5^7 + 846776024779371172/16258851571631441*c_0101_5^6 - 274455340427837362/16258851571631441*c_0101_5^5 - 56222675567333128/16258851571631441*c_0101_5^4 - 83455877050063894/16258851571631441*c_0101_5^3 - 21582645185225913/16258851571631441*c_0101_5^2 - 21441701325175646/16258851571631441*c_0101_5 + 5056345773563218/16258851571631441, c_0011_6 + 11783839405497898/16258851571631441*c_0101_5^15 - 79881670862413852/16258851571631441*c_0101_5^14 + 197294376683951468/16258851571631441*c_0101_5^13 - 239264327174379083/16258851571631441*c_0101_5^12 + 419857078527825601/16258851571631441*c_0101_5^11 - 820262959850243081/16258851571631441*c_0101_5^10 + 183663213004163457/16258851571631441*c_0101_5^9 + 426959477213013078/16258851571631441*c_0101_5^8 - 203791728720852489/16258851571631441*c_0101_5^7 - 685990403114140036/16258851571631441*c_0101_5^6 + 164102335641514070/16258851571631441*c_0101_5^5 + 7234354061815608/16258851571631441*c_0101_5^4 + 26415446462605738/16258851571631441*c_0101_5^3 + 56388103408506384/16258851571631441*c_0101_5^2 + 30776362831083005/16258851571631441*c_0101_5 - 2114288791720607/16258851571631441, c_0101_0 - 14631666734099484/16258851571631441*c_0101_5^15 + 106142922332162388/16258851571631441*c_0101_5^14 - 291034650037110648/16258851571631441*c_0101_5^13 + 406942443012411702/16258851571631441*c_0101_5^12 - 650762513749135828/16258851571631441*c_0101_5^11 + 1264156532525209988/16258851571631441*c_0101_5^10 - 703390042137249976/16258851571631441*c_0101_5^9 - 457610507787883126/16258851571631441*c_0101_5^8 + 442611376833710280/16258851571631441*c_0101_5^7 + 832070034535167973/16258851571631441*c_0101_5^6 - 570518054319284277/16258851571631441*c_0101_5^5 - 50169053798881435/16258851571631441*c_0101_5^4 - 54152163617904633/16258851571631441*c_0101_5^3 + 22779035564915591/16258851571631441*c_0101_5^2 + 8378991567496198/16258851571631441*c_0101_5 + 14359536352287946/16258851571631441, c_0101_3 + 4316986392688594/16258851571631441*c_0101_5^15 - 31545871534991378/16258851571631441*c_0101_5^14 + 88690890147043026/16258851571631441*c_0101_5^13 - 133088836353419077/16258851571631441*c_0101_5^12 + 221462890297036626/16258851571631441*c_0101_5^11 - 414833203458705889/16258851571631441*c_0101_5^10 + 279348626526692394/16258851571631441*c_0101_5^9 + 17409841371535557/16258851571631441*c_0101_5^8 - 76954723423785448/16258851571631441*c_0101_5^7 - 205718265582197849/16258851571631441*c_0101_5^6 + 185301388842920567/16258851571631441*c_0101_5^5 - 73189672097038203/16258851571631441*c_0101_5^4 + 43539222241809263/16258851571631441*c_0101_5^3 + 17024258825658076/16258851571631441*c_0101_5^2 + 22919979424965858/16258851571631441*c_0101_5 - 2335723648663850/16258851571631441, c_0101_5^16 - 7*c_0101_5^15 + 18*c_0101_5^14 - 45/2*c_0101_5^13 + 37*c_0101_5^12 - 75*c_0101_5^11 + 51/2*c_0101_5^10 + 89/2*c_0101_5^9 - 19*c_0101_5^8 - 67*c_0101_5^7 + 51/2*c_0101_5^6 + 15*c_0101_5^5 + 13/2*c_0101_5^4 + 1/2*c_0101_5^3 - 2*c_0101_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB