Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 172726133] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2953 geometric_solution 6.14276824 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -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 1.065387683147 0.831330621650 0 2 2 5 0132 3012 1230 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 0.758774173679 0.641244254192 1 0 5 1 1230 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.758774173679 0.641244254192 5 4 6 0 0132 3012 0132 0132 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 -1 1 -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 0.592184500804 0.803083786053 3 5 0 6 1230 0132 0132 2310 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 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 0.592184500804 0.803083786053 3 4 1 2 0132 0132 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 -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 1.497206510299 0.556839661650 4 6 6 3 3201 3201 2310 0132 0 0 0 0 0 1 0 -1 1 0 -1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.258124859668 0.822569299019 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], '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_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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2']})} 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_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 259850004918157/11897762629832*c_1001_2^17 - 1653128310303521/11897762629832*c_1001_2^16 + 1223695029223531/5948881314916*c_1001_2^15 + 1244327206038347/11897762629832*c_1001_2^14 + 285601176006108/1487220328729*c_1001_2^13 - 5901569275790047/5948881314916*c_1001_2^12 - 7594195971612959/5948881314916*c_1001_2^11 + 2639555540833704/1487220328729*c_1001_2^10 + 9804200919201211/2974440657458*c_1001_2^9 + 13510758151566779/11897762629832*c_1001_2^8 - 8131610630531574/1487220328729*c_1001_2^7 - 7984645628099643/1487220328729*c_1001_2^6 + 14245488222320669/5948881314916*c_1001_2^5 + 37334429236882691/5948881314916*c_1001_2^4 + 4844926431590545/2974440657458*c_1001_2^3 - 3640193305177738/1487220328729*c_1001_2^2 - 13641504943104013/11897762629832*c_1001_2 - 672240521187079/11897762629832, c_0011_0 - 1, c_0011_3 - 10480554445/5948881314916*c_1001_2^17 - 163254057467/5948881314916*c_1001_2^16 + 666811220591/2974440657458*c_1001_2^15 - 2180435287867/5948881314916*c_1001_2^14 - 153649267386/1487220328729*c_1001_2^13 - 1274542386649/2974440657458*c_1001_2^12 + 5003018099129/2974440657458*c_1001_2^11 + 2825393338308/1487220328729*c_1001_2^10 - 3663240715917/1487220328729*c_1001_2^9 - 27472158777151/5948881314916*c_1001_2^8 - 3700925258783/1487220328729*c_1001_2^7 + 11195800075653/1487220328729*c_1001_2^6 + 21155337047539/2974440657458*c_1001_2^5 - 6685917412661/2974440657458*c_1001_2^4 - 11842785777791/1487220328729*c_1001_2^3 - 3349844944598/1487220328729*c_1001_2^2 + 14935568856681/5948881314916*c_1001_2 + 5723385574695/5948881314916, c_0011_6 - 53753796444/1487220328729*c_1001_2^17 + 376436986087/1487220328729*c_1001_2^16 - 768836670049/1487220328729*c_1001_2^15 + 371149016765/1487220328729*c_1001_2^14 - 898824970078/1487220328729*c_1001_2^13 + 2851327198259/1487220328729*c_1001_2^12 + 1145638821310/1487220328729*c_1001_2^11 - 4044564002390/1487220328729*c_1001_2^10 - 3884169995941/1487220328729*c_1001_2^9 - 2150724851878/1487220328729*c_1001_2^8 + 10531751782921/1487220328729*c_1001_2^7 + 4044916844128/1487220328729*c_1001_2^6 - 2200565200879/1487220328729*c_1001_2^5 - 5246510688685/1487220328729*c_1001_2^4 - 407254667269/1487220328729*c_1001_2^3 - 917335518497/1487220328729*c_1001_2^2 - 2066456938851/1487220328729*c_1001_2 + 1379564842320/1487220328729, c_0101_0 + c_1001_2, c_0101_1 - 404694601618/1487220328729*c_1001_2^17 + 2542294155047/1487220328729*c_1001_2^16 - 3662294526132/1487220328729*c_1001_2^15 - 1897580119747/1487220328729*c_1001_2^14 - 4199061780337/1487220328729*c_1001_2^13 + 17982966733981/1487220328729*c_1001_2^12 + 24055252357751/1487220328729*c_1001_2^11 - 28541927753684/1487220328729*c_1001_2^10 - 60323811599552/1487220328729*c_1001_2^9 - 27563255676382/1487220328729*c_1001_2^8 + 92193140477022/1487220328729*c_1001_2^7 + 99759075289647/1487220328729*c_1001_2^6 - 29220500073485/1487220328729*c_1001_2^5 - 106728765492608/1487220328729*c_1001_2^4 - 34695819079692/1487220328729*c_1001_2^3 + 36334101238762/1487220328729*c_1001_2^2 + 19048848260859/1487220328729*c_1001_2 + 1426995476342/1487220328729, c_0101_2 - 64624259776/1487220328729*c_1001_2^17 + 668894381457/2974440657458*c_1001_2^16 - 48427225833/1487220328729*c_1001_2^15 - 1508825816746/1487220328729*c_1001_2^14 - 329253369873/2974440657458*c_1001_2^13 + 5028535344467/2974440657458*c_1001_2^12 + 15642593386525/2974440657458*c_1001_2^11 - 8292461559005/2974440657458*c_1001_2^10 - 39962986949469/2974440657458*c_1001_2^9 - 17608753320613/2974440657458*c_1001_2^8 + 22519240839232/1487220328729*c_1001_2^7 + 38958696160731/1487220328729*c_1001_2^6 - 4313475109394/1487220328729*c_1001_2^5 - 43239638237513/1487220328729*c_1001_2^4 - 22274084831499/1487220328729*c_1001_2^3 + 16318588492471/1487220328729*c_1001_2^2 + 15586006199507/1487220328729*c_1001_2 + 1525748776877/2974440657458, c_1001_2^18 - 6*c_1001_2^17 + 7*c_1001_2^16 + 9*c_1001_2^15 + 9*c_1001_2^14 - 42*c_1001_2^13 - 76*c_1001_2^12 + 66*c_1001_2^11 + 184*c_1001_2^10 + 95*c_1001_2^9 - 243*c_1001_2^8 - 336*c_1001_2^7 + 50*c_1001_2^6 + 340*c_1001_2^5 + 158*c_1001_2^4 - 108*c_1001_2^3 - 89*c_1001_2^2 - 10*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB