Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 2564359660] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2898 geometric_solution 6.10565365 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 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 1.599084601228 1.413036172625 0 3 3 0 0132 0132 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160173224511 0.658738039625 0 4 4 0 3201 0132 1023 0132 0 0 0 0 0 0 1 -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 1 -1 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 0.406745017340 0.515344040014 1 1 5 5 2310 0132 0132 3201 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 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 -0.368753845949 0.950616927050 6 2 2 6 0132 0132 1023 3201 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 -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 0.377078408250 1.008512823799 6 3 6 3 3201 2310 1023 0132 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 -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 0.065130048343 1.020544789463 4 4 5 5 0132 2310 1023 2310 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225271649119 0.910377966036 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(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_5']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], '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_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1060058847111887/220285099608240*c_0101_4^18 + 18227879909205221/440570199216480*c_0101_4^16 - 24626047089777863/146856733072160*c_0101_4^14 + 15470318813285993/44057019921648*c_0101_4^12 - 49191891406881767/36714183268040*c_0101_4^10 - 367985284248990209/440570199216480*c_0101_4^8 - 193049460486172457/220285099608240*c_0101_4^6 - 177482126825215797/146856733072160*c_0101_4^4 - 13192585348443193/29371346614432*c_0101_4^2 - 6106443250736879/440570199216480, c_0011_0 - 1, c_0011_2 + 224478540551/3091720696256*c_0101_4^18 - 3788800766521/6183441392512*c_0101_4^16 + 14996401247355/6183441392512*c_0101_4^14 - 14967068238173/3091720696256*c_0101_4^12 + 14780169136929/772930174064*c_0101_4^10 + 101609340765197/6183441392512*c_0101_4^8 + 20390853480421/1545860348128*c_0101_4^6 + 127731170958097/6183441392512*c_0101_4^4 + 58309278273855/6183441392512*c_0101_4^2 - 482976093775/6183441392512, c_0011_5 - 586616373161/3091720696256*c_0101_4^18 + 10197182258855/6183441392512*c_0101_4^16 - 41914083978525/6183441392512*c_0101_4^14 + 45098162437875/3091720696256*c_0101_4^12 - 42232906725365/772930174064*c_0101_4^10 - 165766099757939/6183441392512*c_0101_4^8 - 55124716018049/1545860348128*c_0101_4^6 - 279513512615223/6183441392512*c_0101_4^4 - 97748350257649/6183441392512*c_0101_4^2 - 3754858091671/6183441392512, c_0101_0 + 2752417058489/3091720696256*c_0101_4^19 - 46832945027975/6183441392512*c_0101_4^17 + 187365284429061/6183441392512*c_0101_4^15 - 191288039438819/3091720696256*c_0101_4^13 + 186051252549375/772930174064*c_0101_4^11 + 1113055753237299/6183441392512*c_0101_4^9 + 255343582102155/1545860348128*c_0101_4^7 + 1479951205220335/6183441392512*c_0101_4^5 + 609454169894913/6183441392512*c_0101_4^3 + 29760561432911/6183441392512*c_0101_4, c_0101_1 - 7308596227/3091720696256*c_0101_4^19 + 315497499949/6183441392512*c_0101_4^17 - 2145230260063/6183441392512*c_0101_4^15 + 3861784310961/3091720696256*c_0101_4^13 - 2270033790447/772930174064*c_0101_4^11 + 51151815695247/6183441392512*c_0101_4^9 + 6876203389581/1545860348128*c_0101_4^7 + 35474231841731/6183441392512*c_0101_4^5 + 38872340388581/6183441392512*c_0101_4^3 + 16697215199651/6183441392512*c_0101_4, c_0101_3 - 1146642038381/3091720696256*c_0101_4^19 + 19648697879987/6183441392512*c_0101_4^17 - 79238143353369/6183441392512*c_0101_4^15 + 82071578112303/3091720696256*c_0101_4^13 - 78738841161643/772930174064*c_0101_4^11 - 425838863385647/6183441392512*c_0101_4^9 - 99683757559763/1545860348128*c_0101_4^7 - 592083459960747/6183441392512*c_0101_4^5 - 212484315240565/6183441392512*c_0101_4^3 + 622178607893/6183441392512*c_0101_4, c_0101_4^20 - 17/2*c_0101_4^18 + 34*c_0101_4^16 - 139/2*c_0101_4^14 + 271*c_0101_4^12 + 403/2*c_0101_4^10 + 393/2*c_0101_4^8 + 539/2*c_0101_4^6 + 117*c_0101_4^4 + 11*c_0101_4^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB