Magma V2.19-8 Tue Aug 20 2013 16:17:59 on localhost [Seed = 829468144] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2224 geometric_solution 5.66481538 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 1.511840474665 0.557282178259 0 2 3 0 3201 0132 0132 0132 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 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 0.735861875435 0.400344040381 3 1 4 5 2103 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.861586869814 0.888572106883 4 5 2 1 1023 0132 2103 0132 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 0 0 0 0.861586869814 0.888572106883 4 3 4 2 2310 1023 3201 0132 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 1 -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 0.671683114931 0.746432209284 6 3 2 6 0132 0132 0132 1023 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 -1 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 0.362659549313 0.380126099624 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.741148076989 0.929085360898 ==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' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_2'], '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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), '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' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_1']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], '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_3, c_0101_0, c_0101_2, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 97/768*c_1001_1^5 - 545/128*c_1001_1^4 + 3323/192*c_1001_1^3 - 31/32*c_1001_1^2 - 225/16*c_1001_1 + 167/24, c_0011_0 - 1, c_0011_1 + 7/288*c_1001_1^5 + 19/24*c_1001_1^4 - 77/18*c_1001_1^3 + 7/2*c_1001_1^2 + 19/6*c_1001_1 - 26/9, c_0011_3 - 1, c_0101_0 - 1/36*c_1001_1^5 - 89/96*c_1001_1^4 + 149/36*c_1001_1^3 - 7/8*c_1001_1^2 - 13/3*c_1001_1 + 17/18, c_0101_2 - 13/144*c_1001_1^5 - 145/48*c_1001_1^4 + 473/36*c_1001_1^3 - 7/2*c_1001_1^2 - 31/3*c_1001_1 + 31/9, c_0101_6 + 1/36*c_1001_1^5 + 89/96*c_1001_1^4 - 149/36*c_1001_1^3 + 7/8*c_1001_1^2 + 13/3*c_1001_1 - 17/18, c_1001_1^6 + 34*c_1001_1^5 - 128*c_1001_1^4 - 56*c_1001_1^3 + 192*c_1001_1^2 + 32*c_1001_1 - 64 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_2, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 6331360018633/153344601409*c_1001_1^13 - 1597411251976/153344601409*c_1001_1^12 + 68251581772329/153344601409*c_1001_1^11 - 78106815648988/153344601409*c_1001_1^10 - 78754807897465/153344601409*c_1001_1^9 + 16823038831911/6667156583*c_1001_1^8 + 293505636351071/153344601409*c_1001_1^7 - 614619389055708/153344601409*c_1001_1^6 - 15775752336857/6667156583*c_1001_1^5 + 409501339268180/153344601409*c_1001_1^4 + 329132526018985/153344601409*c_1001_1^3 - 175259636889540/153344601409*c_1001_1^2 - 64583986912268/153344601409*c_1001_1 + 16054687322244/153344601409, c_0011_0 - 1, c_0011_1 + 2763300045/6667156583*c_1001_1^13 + 2802292973/6667156583*c_1001_1^12 - 28656656927/6667156583*c_1001_1^11 + 11762966713/6667156583*c_1001_1^10 + 53999653491/6667156583*c_1001_1^9 - 137442041639/6667156583*c_1001_1^8 - 247524172164/6667156583*c_1001_1^7 + 136213153281/6667156583*c_1001_1^6 + 325489229798/6667156583*c_1001_1^5 - 16104387811/6667156583*c_1001_1^4 - 234254181565/6667156583*c_1001_1^3 - 50546900432/6667156583*c_1001_1^2 + 51903942126/6667156583*c_1001_1 + 12947361908/6667156583, c_0011_3 - 178532951424/153344601409*c_1001_1^13 - 107010932054/153344601409*c_1001_1^12 + 1899753348053/153344601409*c_1001_1^11 - 1545933279227/153344601409*c_1001_1^10 - 2888882616422/153344601409*c_1001_1^9 + 440048047156/6667156583*c_1001_1^8 + 11835443904990/153344601409*c_1001_1^7 - 13975564038520/153344601409*c_1001_1^6 - 664418514327/6667156583*c_1001_1^5 + 7464774904601/153344601409*c_1001_1^4 + 12138907328517/153344601409*c_1001_1^3 - 1399428548198/153344601409*c_1001_1^2 - 2697701873083/153344601409*c_1001_1 - 109706779706/153344601409, c_0101_0 - 11836618941/6667156583*c_1001_1^13 - 8024333214/6667156583*c_1001_1^12 + 125175361793/6667156583*c_1001_1^11 - 92547239171/6667156583*c_1001_1^10 - 197407178808/6667156583*c_1001_1^9 + 651994825449/6667156583*c_1001_1^8 + 838653037084/6667156583*c_1001_1^7 - 852700129672/6667156583*c_1001_1^6 - 1087406132836/6667156583*c_1001_1^5 + 406148079379/6667156583*c_1001_1^4 + 851072077931/6667156583*c_1001_1^3 - 34667243715/6667156583*c_1001_1^2 - 197128242696/6667156583*c_1001_1 - 20658496635/6667156583, c_0101_2 - 220247357695/153344601409*c_1001_1^13 - 135010303095/153344601409*c_1001_1^12 + 2341387731066/153344601409*c_1001_1^11 - 1870120354842/153344601409*c_1001_1^10 - 3586429038535/153344601409*c_1001_1^9 + 538148868380/6667156583*c_1001_1^8 + 14863591250319/153344601409*c_1001_1^7 - 17016297703815/153344601409*c_1001_1^6 - 844104222241/6667156583*c_1001_1^5 + 8931670253410/153344601409*c_1001_1^4 + 15466719583758/153344601409*c_1001_1^3 - 1627023199335/153344601409*c_1001_1^2 - 3468367057793/153344601409*c_1001_1 - 250510021521/153344601409, c_0101_6 - 42804023420/153344601409*c_1001_1^13 - 43522648329/153344601409*c_1001_1^12 + 445166529145/153344601409*c_1001_1^11 - 175897013830/153344601409*c_1001_1^10 - 853069432957/153344601409*c_1001_1^9 + 91090633236/6667156583*c_1001_1^8 + 3938209411064/153344601409*c_1001_1^7 - 2188321362765/153344601409*c_1001_1^6 - 232446676204/6667156583*c_1001_1^5 + 250482360764/153344601409*c_1001_1^4 + 4098418852133/153344601409*c_1001_1^3 + 876412853217/153344601409*c_1001_1^2 - 934333462376/153344601409*c_1001_1 - 342780802642/153344601409, c_1001_1^14 - 11*c_1001_1^12 + 15*c_1001_1^11 + 11*c_1001_1^10 - 66*c_1001_1^9 - 33*c_1001_1^8 + 118*c_1001_1^7 + 41*c_1001_1^6 - 93*c_1001_1^5 - 46*c_1001_1^4 + 49*c_1001_1^3 + 12*c_1001_1^2 - 8*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB