Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 223121859] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2253 geometric_solution 5.68368899 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.867577829293 0.383331358136 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 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 -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 0.659454596839 1.112561890970 4 1 5 5 0132 0132 0132 1230 0 0 0 0 0 1 -1 0 1 0 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 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 0.254649046358 0.444650718466 5 4 4 1 1023 0213 2310 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 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 -0.235392473512 0.508105122277 2 3 3 6 0132 3201 0213 0132 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 -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 0.632185355781 0.891436480414 2 3 6 2 3012 1023 1302 0132 0 0 0 0 0 0 -1 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 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 0.025129909038 1.016396879311 5 6 4 6 2031 1302 0132 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 1 -1 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 0.840079803518 0.716061288197 ==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' : 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' : 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' : d['1'], 's_1_2' : d['1'], 's_1_1' : 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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 4790733526523566490/59029890460548577*c_0101_3^15 + 120935038342650324755/59029890460548577*c_0101_3^14 + 125367983152485293757/59029890460548577*c_0101_3^13 - 168163840454333114024/59029890460548577*c_0101_3^12 - 20382398569010292590/59029890460548577*c_0101_3^11 - 502479296701269781221/59029890460548577*c_0101_3^10 - 240302121224140617932/59029890460548577*c_0101_3^9 + 446850048581732520041/59029890460548577*c_0101_3^8 + 253077255742317979877/59029890460548577*c_0101_3^7 - 159886211199585153002/59029890460548577*c_0101_3^6 - 167680924388954215739/59029890460548577*c_0101_3^5 + 33322186888942310740/59029890460548577*c_0101_3^4 + 203753352164013715854/59029890460548577*c_0101_3^3 + 117176729309532999807/59029890460548577*c_0101_3^2 - 20377034941767134305/59029890460548577*c_0101_3 - 18288649560677885828/59029890460548577, c_0011_0 - 1, c_0011_3 + 150875039832712768/177089671381645731*c_0101_3^15 + 3697244115816266746/177089671381645731*c_0101_3^14 + 393311842021919072/59029890460548577*c_0101_3^13 - 7137011914911616318/177089671381645731*c_0101_3^12 + 1324424459510280812/59029890460548577*c_0101_3^11 - 5714639642476768540/59029890460548577*c_0101_3^10 + 1561310921313219580/59029890460548577*c_0101_3^9 + 14940910912586547055/177089671381645731*c_0101_3^8 - 2731413167368965203/177089671381645731*c_0101_3^7 - 6725924409775482718/177089671381645731*c_0101_3^6 - 397123864409012549/59029890460548577*c_0101_3^5 + 1120197659460718193/59029890460548577*c_0101_3^4 + 4797380148810519931/177089671381645731*c_0101_3^3 - 312844346476678574/177089671381645731*c_0101_3^2 - 1702296590892844805/177089671381645731*c_0101_3 + 295520219320594408/177089671381645731, c_0011_6 - 153137940688723414/177089671381645731*c_0101_3^15 - 3760963859746274783/177089671381645731*c_0101_3^14 - 1410103681543733486/177089671381645731*c_0101_3^13 + 6932441458726733231/177089671381645731*c_0101_3^12 - 3828740306558950333/177089671381645731*c_0101_3^11 + 17621304322488663464/177089671381645731*c_0101_3^10 - 3858335944428751042/177089671381645731*c_0101_3^9 - 14377102279202052020/177089671381645731*c_0101_3^8 + 737529331874507519/59029890460548577*c_0101_3^7 + 5783276838315836806/177089671381645731*c_0101_3^6 + 1291639006735187299/177089671381645731*c_0101_3^5 - 2941867039007120906/177089671381645731*c_0101_3^4 - 1572156627262848187/59029890460548577*c_0101_3^3 + 56712008724770687/177089671381645731*c_0101_3^2 + 1478256406532534233/177089671381645731*c_0101_3 - 101937216509106613/59029890460548577, c_0101_0 + 94545438401074660/177089671381645731*c_0101_3^15 + 741774573987565864/59029890460548577*c_0101_3^14 - 1524592020197146589/177089671381645731*c_0101_3^13 - 1904094589401789691/59029890460548577*c_0101_3^12 + 6228811609565234795/177089671381645731*c_0101_3^11 - 12374433325700704999/177089671381645731*c_0101_3^10 + 13442914737622681199/177089671381645731*c_0101_3^9 + 2823465398859517171/59029890460548577*c_0101_3^8 - 9269067271028792752/177089671381645731*c_0101_3^7 - 5062899358168310104/177089671381645731*c_0101_3^6 + 2817683063728657027/177089671381645731*c_0101_3^5 + 3414230503965956872/177089671381645731*c_0101_3^4 + 1675049331523060661/177089671381645731*c_0101_3^3 - 3340905066235819325/177089671381645731*c_0101_3^2 - 597182208242022704/59029890460548577*c_0101_3 + 840796933994049776/177089671381645731, c_0101_1 + 47460759543956998/59029890460548577*c_0101_3^15 + 3476166583435872649/177089671381645731*c_0101_3^14 + 803056589051887928/177089671381645731*c_0101_3^13 - 6659343278803989121/177089671381645731*c_0101_3^12 + 4490352485635043617/177089671381645731*c_0101_3^11 - 16790551646063402996/177089671381645731*c_0101_3^10 + 5897577499986694378/177089671381645731*c_0101_3^9 + 12855148643482485304/177089671381645731*c_0101_3^8 - 3862716337345192258/177089671381645731*c_0101_3^7 - 1890093507234576525/59029890460548577*c_0101_3^6 + 38517494854621001/177089671381645731*c_0101_3^5 + 2977828063349427269/177089671381645731*c_0101_3^4 + 4039266131973671588/177089671381645731*c_0101_3^3 - 201128356532475844/59029890460548577*c_0101_3^2 - 1459621659517325681/177089671381645731*c_0101_3 + 509924283403741742/177089671381645731, c_0101_2 + 154936609694607071/177089671381645731*c_0101_3^15 + 3794909181678005815/177089671381645731*c_0101_3^14 + 1175333604734364781/177089671381645731*c_0101_3^13 - 7117181046779550406/177089671381645731*c_0101_3^12 + 4182414678305170151/177089671381645731*c_0101_3^11 - 18183421280442588130/177089671381645731*c_0101_3^10 + 5292080320366008749/177089671381645731*c_0101_3^9 + 14228411291935244515/177089671381645731*c_0101_3^8 - 823779875337830549/59029890460548577*c_0101_3^7 - 5740446771912346997/177089671381645731*c_0101_3^6 - 1282266105694761200/177089671381645731*c_0101_3^5 + 2824032420790150144/177089671381645731*c_0101_3^4 + 1599676814267490854/59029890460548577*c_0101_3^3 - 122262441929388241/177089671381645731*c_0101_3^2 - 1604919545182902737/177089671381645731*c_0101_3 + 88433746209993436/59029890460548577, c_0101_3^16 + 25*c_0101_3^15 + 20*c_0101_3^14 - 42*c_0101_3^13 + 4*c_0101_3^12 - 103*c_0101_3^11 - 25*c_0101_3^10 + 108*c_0101_3^9 + 30*c_0101_3^8 - 48*c_0101_3^7 - 27*c_0101_3^6 + 16*c_0101_3^5 + 41*c_0101_3^4 + 14*c_0101_3^3 - 11*c_0101_3^2 - 3*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB