Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 2480017342] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s214 geometric_solution 4.35626266 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 1.692266987404 0.257218975763 0 2 2 0 3201 0132 1023 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 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.245306904476 0.755610831555 3 1 1 4 0132 0132 1023 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 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271655677063 0.287091280121 2 4 5 4 0132 2310 0132 3201 0 0 0 0 0 1 0 -1 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 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 -0.181287408893 1.315185313119 5 3 2 3 1023 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.181287408893 1.315185313119 5 4 5 3 2031 1023 1302 0132 0 0 0 0 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 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 0.353290703485 0.618906194455 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 5426325986718514/529704936155585*c_0101_3^12 + 31454388392997068/529704936155585*c_0101_3^11 - 435946092704185473/529704936155585*c_0101_3^10 - 4175406664312123088/529704936155585*c_0101_3^9 - 11922004405944841986/529704936155585*c_0101_3^8 - 910953452553887856/31159113891505*c_0101_3^7 - 8382490533852849021/529704936155585*c_0101_3^6 + 2782969813363328406/529704936155585*c_0101_3^5 + 1610054638101992924/105940987231117*c_0101_3^4 + 6038510801931364882/529704936155585*c_0101_3^3 + 2237422574123748084/529704936155585*c_0101_3^2 + 316738879126991656/529704936155585*c_0101_3 - 42187540484168589/529704936155585, c_0011_0 - 1, c_0011_1 - 2828681532788/6231822778301*c_0101_3^12 - 15505867652192/6231822778301*c_0101_3^11 + 231461155130170/6231822778301*c_0101_3^10 + 2100521633911747/6231822778301*c_0101_3^9 + 5611065318283469/6231822778301*c_0101_3^8 + 6761312779960003/6231822778301*c_0101_3^7 + 3218841263888344/6231822778301*c_0101_3^6 - 1607378978735369/6231822778301*c_0101_3^5 - 3516632068399642/6231822778301*c_0101_3^4 - 2451313888629206/6231822778301*c_0101_3^3 - 886944348202427/6231822778301*c_0101_3^2 - 137284849489491/6231822778301*c_0101_3 - 1240042980603/6231822778301, c_0011_4 + 10640208768070/105940987231117*c_0101_3^12 + 51465632797035/105940987231117*c_0101_3^11 - 906320551394436/105940987231117*c_0101_3^10 - 7327074177160197/105940987231117*c_0101_3^9 - 16163473774210388/105940987231117*c_0101_3^8 - 791761500286176/6231822778301*c_0101_3^7 - 724127860408729/105940987231117*c_0101_3^6 + 8085076571570078/105940987231117*c_0101_3^5 + 7877472626947779/105940987231117*c_0101_3^4 + 3288997875298668/105940987231117*c_0101_3^3 + 387311924774790/105940987231117*c_0101_3^2 - 239761165334797/105940987231117*c_0101_3 - 69047816102787/105940987231117, c_0101_0 - 39662959883962/105940987231117*c_0101_3^12 - 236062701197257/105940987231117*c_0101_3^11 + 3153939652943610/105940987231117*c_0101_3^10 + 31025158853821863/105940987231117*c_0101_3^9 + 91596868085765507/105940987231117*c_0101_3^8 + 7346369118548881/6231822778301*c_0101_3^7 + 76244771682710538/105940987231117*c_0101_3^6 - 11402266750125774/105940987231117*c_0101_3^5 - 60170088261300616/105940987231117*c_0101_3^4 - 51230557185967532/105940987231117*c_0101_3^3 - 22881287221969062/105940987231117*c_0101_3^2 - 5269714842927836/105940987231117*c_0101_3 - 340115833497288/105940987231117, c_0101_2 - 29832567945919/105940987231117*c_0101_3^12 - 157603328132533/105940987231117*c_0101_3^11 + 2464553819855519/105940987231117*c_0101_3^10 + 21625047667336663/105940987231117*c_0101_3^9 + 55545923428985104/105940987231117*c_0101_3^8 + 3864368311931537/6231822778301*c_0101_3^7 + 33163066706854639/105940987231117*c_0101_3^6 - 12206060276427953/105940987231117*c_0101_3^5 - 32795143716877088/105940987231117*c_0101_3^4 - 25166391509338475/105940987231117*c_0101_3^3 - 10626965312919438/105940987231117*c_0101_3^2 - 2293968663913406/105940987231117*c_0101_3 - 145278426468094/105940987231117, c_0101_3^13 + 6*c_0101_3^12 - 79*c_0101_3^11 - 785*c_0101_3^10 - 2367*c_0101_3^9 - 3414*c_0101_3^8 - 2396*c_0101_3^7 - 77*c_0101_3^6 + 1501*c_0101_3^5 + 1518*c_0101_3^4 + 788*c_0101_3^3 + 228*c_0101_3^2 + 30*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB