Magma V2.19-8 Tue Aug 20 2013 16:16:44 on localhost [Seed = 3120047477] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1016 geometric_solution 4.89847532 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 -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 1.308328923816 0.826145643684 0 1 0 1 0132 2310 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 -0.772243909410 0.223410834268 3 4 5 0 1302 0132 0132 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 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 1.322510468082 0.278931756518 4 2 0 6 2310 2031 0132 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 -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 0.562391379319 0.541417823936 6 2 3 5 3012 0132 3201 1230 0 0 0 0 0 -1 0 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 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 0.265866692423 0.458767664469 4 6 6 2 3012 1023 2310 0132 0 0 0 0 0 -1 0 1 -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 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 0.489801322210 0.306082023966 5 5 3 4 1023 3201 0132 1230 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.531733384847 0.917535328937 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : 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' : d['c_0011_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), '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_5'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 8395326549639322361/12911214433074191168*c_0101_4^19 - 159025963102389086579/12911214433074191168*c_0101_4^17 + 1611069665898841428057/12911214433074191168*c_0101_4^15 - 1255967852036917481237/1613901804134273896*c_0101_4^13 + 340253555392002058484025/103289715464593529344*c_0101_4^11 - 955330035515216024882369/103289715464593529344*c_0101_4^9 + 440009369521076260970695/25822428866148382336*c_0101_4^7 - 222704373549213951562339/12911214433074191168*c_0101_4^5 + 1382067646198663093591/146718345830388536*c_0101_4^3 - 733415373653336459597/806950902067136948*c_0101_4, c_0011_0 - 1, c_0011_2 - 1934172102434663/1173746766643108288*c_0101_4^19 + 36447045148950501/1173746766643108288*c_0101_4^17 - 367484736597710823/1173746766643108288*c_0101_4^15 + 284635387424417817/146718345830388536*c_0101_4^13 - 76516443518927537895/9389974133144866304*c_0101_4^11 + 212375800361694341463/9389974133144866304*c_0101_4^9 - 96337501081543187605/2347493533286216576*c_0101_4^7 + 23617131137723140621/586873383321554144*c_0101_4^5 - 792610363912431071/36679586457597134*c_0101_4^3 + 45502217948094061/36679586457597134*c_0101_4, c_0011_3 - 3548982248662597/1173746766643108288*c_0101_4^19 + 66984849686524603/1173746766643108288*c_0101_4^17 - 677293450123334553/1173746766643108288*c_0101_4^15 + 1052987592043193677/293436691660777072*c_0101_4^13 - 142178794650275770821/9389974133144866304*c_0101_4^11 + 396904964351763742961/9389974133144866304*c_0101_4^9 - 90686657750108395547/1173746766643108288*c_0101_4^7 + 11262634541891758233/146718345830388536*c_0101_4^5 - 6121914079198246581/146718345830388536*c_0101_4^3 + 120380616009118555/36679586457597134*c_0101_4, c_0011_5 + 153811291086427/293436691660777072*c_0101_4^18 - 2952959900534583/293436691660777072*c_0101_4^16 + 30138330464945645/293436691660777072*c_0101_4^14 - 94865540372600567/146718345830388536*c_0101_4^12 + 6468358991410437083/2347493533286216576*c_0101_4^10 - 18262351669424242625/2347493533286216576*c_0101_4^8 + 16679732313186564981/1173746766643108288*c_0101_4^6 - 4063593442104134353/293436691660777072*c_0101_4^4 + 228721676422212591/36679586457597134*c_0101_4^2 - 4750498872858434/18339793228798567, c_0101_0 + 139851408534433/293436691660777072*c_0101_4^18 - 2459515996211749/293436691660777072*c_0101_4^16 + 23391334976066263/293436691660777072*c_0101_4^14 - 67833871474798037/146718345830388536*c_0101_4^12 + 4270061491964125601/2347493533286216576*c_0101_4^10 - 10935580282833345955/2347493533286216576*c_0101_4^8 + 8998055924088083247/1173746766643108288*c_0101_4^6 - 1758859236267684633/293436691660777072*c_0101_4^4 + 129599642727583203/73359172915194268*c_0101_4^2 + 11355748840338595/18339793228798567, c_0101_1 - 18596144894413/293436691660777072*c_0101_4^18 + 256786162752183/293436691660777072*c_0101_4^16 - 1677969464638341/293436691660777072*c_0101_4^14 + 327854061912884/18339793228798567*c_0101_4^12 - 46165509767425037/2347493533286216576*c_0101_4^10 + 6727627506484189/2347493533286216576*c_0101_4^8 - 165933976184184757/586873383321554144*c_0101_4^6 + 491374448746030109/293436691660777072*c_0101_4^4 - 195171610615204165/73359172915194268*c_0101_4^2 + 14964157215037000/18339793228798567, c_0101_4^20 - 19*c_0101_4^18 + 193*c_0101_4^16 - 1208*c_0101_4^14 + 41089/8*c_0101_4^12 - 116177/8*c_0101_4^10 + 54099/2*c_0101_4^8 - 28102*c_0101_4^6 + 16128*c_0101_4^4 - 2336*c_0101_4^2 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB