Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 3297073163] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2247 geometric_solution 5.67892975 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594837313493 0.150759494630 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 -1 1 0 -1 0 0 1 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824280014338 0.464146972512 4 1 5 3 0132 0132 0132 1230 0 0 0 0 0 1 -1 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 -1 1 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 0.692476853890 0.899562231516 2 5 1 4 3012 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.692476853890 0.899562231516 2 4 3 4 0132 2310 0132 3201 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 -0.022701366137 1.188502979080 6 6 3 2 0132 3201 2310 0132 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 1 0 -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 -0.089736869115 1.732549155152 5 6 5 6 0132 1302 2310 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.467619249298 0.875412778708 ==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' : d['c_0011_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], '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_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], '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_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_5']), '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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t + 6769989593694/74466565867*c_0101_2*c_0101_5^16 - 16393058318160/74466565867*c_0101_2*c_0101_5^15 - 47241144371145/74466565867*c_0101_2*c_0101_5^14 + 183875878421421/74466565867*c_0101_2*c_0101_5^13 - 76967219445875/74466565867*c_0101_2*c_0101_5^12 - 409373922866886/74466565867*c_0101_2*c_0101_5^11 + 624035813502876/74466565867*c_0101_2*c_0101_5^10 + 17909512186179/74466565867*c_0101_2*c_0101_5^9 - 817122998005335/74466565867*c_0101_2*c_0101_5^8 + 651045888358357/74466565867*c_0101_2*c_0101_5^7 + 180426946456951/74466565867*c_0101_2*c_0101_5^6 - 512980022848946/74466565867*c_0101_2*c_0101_5^5 + 197923646594156/74466565867*c_0101_2*c_0101_5^4 + 77856122860191/74466565867*c_0101_2*c_0101_5^3 - 72471681207411/74466565867*c_0101_2*c_0101_5^2 + 8272348108595/74466565867*c_0101_2*c_0101_5 + 3738258859541/74466565867*c_0101_2, c_0011_0 - 1, c_0011_3 - 1284597188577/74466565867*c_0101_2*c_0101_5^16 + 4014884956023/74466565867*c_0101_2*c_0101_5^15 + 7315867139262/74466565867*c_0101_2*c_0101_5^14 - 41346256895512/74466565867*c_0101_2*c_0101_5^13 + 33515596877041/74466565867*c_0101_2*c_0101_5^12 + 73480957967902/74466565867*c_0101_2*c_0101_5^11 - 156672961454221/74466565867*c_0101_2*c_0101_5^10 + 45938609566626/74466565867*c_0101_2*c_0101_5^9 + 157709650979398/74466565867*c_0101_2*c_0101_5^8 - 176871710299359/74466565867*c_0101_2*c_0101_5^7 + 2478571325822/74466565867*c_0101_2*c_0101_5^6 + 105894315486813/74466565867*c_0101_2*c_0101_5^5 - 58380661870254/74466565867*c_0101_2*c_0101_5^4 - 7719072692315/74466565867*c_0101_2*c_0101_5^3 + 15568343383517/74466565867*c_0101_2*c_0101_5^2 - 3293110923884/74466565867*c_0101_2*c_0101_5 - 370745726472/74466565867*c_0101_2, c_0011_5 - 121397010651/74466565867*c_0101_2*c_0101_5^16 - 129544876611/74466565867*c_0101_2*c_0101_5^15 + 1470985184413/74466565867*c_0101_2*c_0101_5^14 + 113946254621/74466565867*c_0101_2*c_0101_5^13 - 6710835500644/74466565867*c_0101_2*c_0101_5^12 + 5452522067367/74466565867*c_0101_2*c_0101_5^11 + 10378347434043/74466565867*c_0101_2*c_0101_5^10 - 18777138133493/74466565867*c_0101_2*c_0101_5^9 + 646039918667/74466565867*c_0101_2*c_0101_5^8 + 20821111705590/74466565867*c_0101_2*c_0101_5^7 - 13862566789227/74466565867*c_0101_2*c_0101_5^6 - 6522306418259/74466565867*c_0101_2*c_0101_5^5 + 10298494237581/74466565867*c_0101_2*c_0101_5^4 - 1851255164360/74466565867*c_0101_2*c_0101_5^3 - 1985518834626/74466565867*c_0101_2*c_0101_5^2 + 909906683602/74466565867*c_0101_2*c_0101_5 - 4757185056/74466565867*c_0101_2, c_0101_0 - 1445690578869/74466565867*c_0101_5^16 + 3407469801552/74466565867*c_0101_5^15 + 9838742335558/74466565867*c_0101_5^14 - 37608535303820/74466565867*c_0101_5^13 + 16842381248433/74466565867*c_0101_5^12 + 77715053044319/74466565867*c_0101_5^11 - 121111016056684/74466565867*c_0101_5^10 + 4556370663923/74466565867*c_0101_5^9 + 142319982055066/74466565867*c_0101_5^8 - 117404150531579/74466565867*c_0101_5^7 - 23913451490170/74466565867*c_0101_5^6 + 80776160099562/74466565867*c_0101_5^5 - 32249029475002/74466565867*c_0101_5^4 - 9727779085297/74466565867*c_0101_5^3 + 9869273987362/74466565867*c_0101_5^2 - 1495034987882/74466565867*c_0101_5 - 228012705519/74466565867, c_0101_1 + 166722070086/74466565867*c_0101_5^16 - 588129247773/74466565867*c_0101_5^15 - 1055643202009/74466565867*c_0101_5^14 + 6274922210841/74466565867*c_0101_5^13 - 4205241545143/74466565867*c_0101_5^12 - 13927655245158/74466565867*c_0101_5^11 + 24782209214372/74466565867*c_0101_5^10 - 1664010039477/74466565867*c_0101_5^9 - 31903381859462/74466565867*c_0101_5^8 + 28613677221669/74466565867*c_0101_5^7 + 5181283308115/74466565867*c_0101_5^6 - 20809084956475/74466565867*c_0101_5^5 + 9343928723520/74466565867*c_0101_5^4 + 1597945964764/74466565867*c_0101_5^3 - 2434658667637/74466565867*c_0101_5^2 + 634669782912/74466565867*c_0101_5 - 54343682668/74466565867, c_0101_2^2 - 283953813993/74466565867*c_0101_5^16 + 173814891516/74466565867*c_0101_5^15 + 2693429738926/74466565867*c_0101_5^14 - 3498356414672/74466565867*c_0101_5^13 - 6275337545969/74466565867*c_0101_5^12 + 14009996330711/74466565867*c_0101_5^11 + 223781062663/74466565867*c_0101_5^10 - 21517188323664/74466565867*c_0101_5^9 + 15022351599512/74466565867*c_0101_5^8 + 12252641424076/74466565867*c_0101_5^7 - 18291573126659/74466565867*c_0101_5^6 + 789420636502/74466565867*c_0101_5^5 + 8162297832331/74466565867*c_0101_5^4 - 2899391868457/74466565867*c_0101_5^3 - 1262615452908/74466565867*c_0101_5^2 + 717865529687/74466565867*c_0101_5 + 16101547376/74466565867, c_0101_5^17 - 3*c_0101_5^16 - 47/9*c_0101_5^15 + 272/9*c_0101_5^14 - 29*c_0101_5^13 - 398/9*c_0101_5^12 + 356/3*c_0101_5^11 - 571/9*c_0101_5^10 - 815/9*c_0101_5^9 + 449/3*c_0101_5^8 - 434/9*c_0101_5^7 - 557/9*c_0101_5^6 + 65*c_0101_5^5 - 43/3*c_0101_5^4 - 95/9*c_0101_5^3 + 7*c_0101_5^2 - 10/9*c_0101_5 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB