Magma V2.19-8 Tue Aug 20 2013 16:18:09 on localhost [Seed = 374836015] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2368 geometric_solution 5.73660759 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 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 0 -1 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 0.463653998903 1.041059645379 2 3 4 0 1023 0132 0132 0132 0 0 0 0 0 1 0 -1 1 0 0 -1 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 0.247768302124 0.596516722589 5 1 0 4 0132 1023 0132 2310 0 0 0 0 0 -1 0 1 -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 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 0.247768302124 0.596516722589 6 1 4 5 0132 0132 3120 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318778988622 0.984476713927 2 5 3 1 3201 1302 3120 0132 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 2.195165938553 0.471214298244 2 6 3 4 0132 2310 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318778988622 0.984476713927 3 6 6 5 0132 1230 3012 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 1.702302307881 0.919371903862 ==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' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : d['1'], 's_1_1' : negation(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_1'], 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], '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_1'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_0']), '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' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], '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_4, c_0101_0, c_0101_4, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 484038012982883843297/451738027327768300*c_1001_1^15 + 887751242364441218891/451738027327768300*c_1001_1^14 + 1114990532214179183103/451738027327768300*c_1001_1^13 + 236056554323403287231/9034760546555366*c_1001_1^12 + 19384475536650312560617/451738027327768300*c_1001_1^11 + 28880934795905649550399/451738027327768300*c_1001_1^10 - 46502573823883173218381/451738027327768300*c_1001_1^9 - 65319407548129118507141/225869013663884150*c_1001_1^8 - 78384469201481747380403/225869013663884150*c_1001_1^7 + 31984151616585889813821/451738027327768300*c_1001_1^6 + 32272709157795960750673/64534003903966900*c_1001_1^5 + 129497778724482808137969/451738027327768300*c_1001_1^4 - 354953722967261237613/2581360156158676*c_1001_1^3 - 52334116355310537789089/451738027327768300*c_1001_1^2 + 13061203873274870013149/225869013663884150*c_1001_1 - 733227777175138048732/112934506831942075, c_0011_0 - 1, c_0011_1 + 25757570017268720/4517380273277683*c_1001_1^15 - 95024713196079311/9034760546555366*c_1001_1^14 - 59114730797391270/4517380273277683*c_1001_1^13 - 627046623932297626/4517380273277683*c_1001_1^12 - 2048232321763286881/9034760546555366*c_1001_1^11 - 3037623334040315235/9034760546555366*c_1001_1^10 + 2504832649706154242/4517380273277683*c_1001_1^9 + 6948449832681234581/4517380273277683*c_1001_1^8 + 16503169319094231861/9034760546555366*c_1001_1^7 - 1871210190430070620/4517380273277683*c_1001_1^6 - 3465085603509567913/1290680078079338*c_1001_1^5 - 6797571655862023814/4517380273277683*c_1001_1^4 + 498794717397342996/645340039039669*c_1001_1^3 + 2873255891814440737/4517380273277683*c_1001_1^2 - 1401682638821590630/4517380273277683*c_1001_1 + 293320114989787983/9034760546555366, c_0011_4 - 23692547313008995/4517380273277683*c_1001_1^15 + 86811437958763701/9034760546555366*c_1001_1^14 + 109616790798288601/9034760546555366*c_1001_1^13 + 1155270010581503889/9034760546555366*c_1001_1^12 + 949548950275018232/4517380273277683*c_1001_1^11 + 2823705914127430939/9034760546555366*c_1001_1^10 - 4561897644975072757/9034760546555366*c_1001_1^9 - 12822028991574082379/9034760546555366*c_1001_1^8 - 7677805594311409191/4517380273277683*c_1001_1^7 + 1594049297044670645/4517380273277683*c_1001_1^6 + 3179646702162030967/1290680078079338*c_1001_1^5 + 12763974606864141425/9034760546555366*c_1001_1^4 - 882394857411950695/1290680078079338*c_1001_1^3 - 5278374521774507327/9034760546555366*c_1001_1^2 + 2522300196545295623/9034760546555366*c_1001_1 - 130983713884132875/4517380273277683, c_0101_0 - 25617983551651816/4517380273277683*c_1001_1^15 + 89830232305289633/9034760546555366*c_1001_1^14 + 124645038884771299/9034760546555366*c_1001_1^13 + 1260390906716980289/9034760546555366*c_1001_1^12 + 1077750323815220304/4517380273277683*c_1001_1^11 + 3247103853190919037/9034760546555366*c_1001_1^10 - 4629986597585117385/9034760546555366*c_1001_1^9 - 14157060660405588761/9034760546555366*c_1001_1^8 - 8893609908770942993/4517380273277683*c_1001_1^7 + 879563965701462977/4517380273277683*c_1001_1^6 + 3400093894200093509/1290680078079338*c_1001_1^5 + 15607869543106162601/9034760546555366*c_1001_1^4 - 715454728320461923/1290680078079338*c_1001_1^3 - 5697418474757282333/9034760546555366*c_1001_1^2 + 2279751730318918169/9034760546555366*c_1001_1 - 103684653680184068/4517380273277683, c_0101_4 + c_1001_1, c_0101_6 + 7982159083133924/4517380273277683*c_1001_1^15 - 30045783071960281/9034760546555366*c_1001_1^14 - 35757626592768821/9034760546555366*c_1001_1^13 - 386921774533327865/9034760546555366*c_1001_1^12 - 309808405579154192/4517380273277683*c_1001_1^11 - 911861929631494339/9034760546555366*c_1001_1^10 + 1598269053155472321/9034760546555366*c_1001_1^9 + 4265615037422085273/9034760546555366*c_1001_1^8 + 2468754592158584535/4517380273277683*c_1001_1^7 - 707309567243958040/4517380273277683*c_1001_1^6 - 1081153333297522479/1290680078079338*c_1001_1^5 - 3949850550829632581/9034760546555366*c_1001_1^4 + 345795127133580913/1290680078079338*c_1001_1^3 + 1795151421371514077/9034760546555366*c_1001_1^2 - 928215977150277717/9034760546555366*c_1001_1 + 49450117330277715/4517380273277683, c_1001_1^16 - 2*c_1001_1^15 - 2*c_1001_1^14 - 24*c_1001_1^13 - 36*c_1001_1^12 - 53*c_1001_1^11 + 106*c_1001_1^10 + 254*c_1001_1^9 + 279*c_1001_1^8 - 120*c_1001_1^7 - 456*c_1001_1^6 - 190*c_1001_1^5 + 173*c_1001_1^4 + 87*c_1001_1^3 - 72*c_1001_1^2 + 15*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB