Magma V2.19-8 Tue Aug 20 2013 16:16:55 on localhost [Seed = 3052677481] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1169 geometric_solution 5.04397682 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 1 0 -1 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 0.191609153469 1.114945308336 3 2 4 0 0132 3012 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.094385684958 1.291349472783 1 3 0 4 1230 2310 0132 2310 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 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 0 0 0 1.094385684958 1.291349472783 1 3 3 2 0132 1230 3012 3201 0 0 0 0 0 0 1 -1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.998486889352 0.555429737240 2 5 5 1 3201 0132 3201 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 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144393705592 0.210803231966 4 4 6 6 2310 0132 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 0 0 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 1.683231280814 4.415356503004 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.094198544247 0.166395628546 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 2643983947296940577139705951/7163354038141643336769436*c_0101_5^13 + 19187453357484621616194808599/28653416152566573347077744*c_0101_5^1\ 2 - 7844504196582451515806610921/28653416152566573347077744*c_0101_\ 5^11 + 29973492011451634191148731689/7163354038141643336769436*c_01\ 01_5^10 - 2430422730664643764370015775/1790838509535410834192359*c_\ 0101_5^9 + 1358116064392070172930817628/1790838509535410834192359*c\ _0101_5^8 + 7091984756060926138102181613/1790838509535410834192359*\ c_0101_5^7 - 81337499114055628134998582223/143267080762832866735388\ 72*c_0101_5^6 - 5814591423766672789592106337/7163354038141643336769\ 436*c_0101_5^5 + 24685012484162719036567006423/28653416152566573347\ 077744*c_0101_5^4 - 30710652214141369795356902713/71633540381416433\ 36769436*c_0101_5^3 + 194293337639985321472292737/17908385095354108\ 34192359*c_0101_5^2 + 61728200760436300154357080625/286534161525665\ 73347077744*c_0101_5 + 11481704221839588394126811417/28653416152566\ 573347077744, c_0011_0 - 1, c_0011_1 + 2848136786239936255992/615197014611958376569*c_0101_5^13 + 4521201310316189835054/615197014611958376569*c_0101_5^12 - 2782112031008326146890/615197014611958376569*c_0101_5^11 + 33455625888871617678846/615197014611958376569*c_0101_5^10 - 18244738920549834388414/615197014611958376569*c_0101_5^9 + 14469474632659144023471/615197014611958376569*c_0101_5^8 + 24314130406697434390364/615197014611958376569*c_0101_5^7 - 44938683541201442536987/615197014611958376569*c_0101_5^6 + 4878112924766866196073/615197014611958376569*c_0101_5^5 + 1130926980017575201818/615197014611958376569*c_0101_5^4 - 31021262043323001294623/615197014611958376569*c_0101_5^3 + 5702325255991381161757/615197014611958376569*c_0101_5^2 + 12456958184313559474028/615197014611958376569*c_0101_5 + 1249599046872693014135/615197014611958376569, c_0011_4 + 2022214311935196412356/615197014611958376569*c_0101_5^13 + 3122816878909454993541/615197014611958376569*c_0101_5^12 - 2199556292482743384856/615197014611958376569*c_0101_5^11 + 23523141858684788307248/615197014611958376569*c_0101_5^10 - 14181273798024627585603/615197014611958376569*c_0101_5^9 + 10129031972343535492773/615197014611958376569*c_0101_5^8 + 15625589898086179365938/615197014611958376569*c_0101_5^7 - 32014000581079242021067/615197014611958376569*c_0101_5^6 + 3767734473844546438632/615197014611958376569*c_0101_5^5 + 1343753231912018641264/615197014611958376569*c_0101_5^4 - 21794982759219819036423/615197014611958376569*c_0101_5^3 + 5291657666116020849959/615197014611958376569*c_0101_5^2 + 9071598133446698049077/615197014611958376569*c_0101_5 + 401624266425246477987/615197014611958376569, c_0011_6 - 1494944136680162518872/615197014611958376569*c_0101_5^13 - 2112586672700051346222/615197014611958376569*c_0101_5^12 + 1732162515557212303932/615197014611958376569*c_0101_5^11 - 17952199409860850421875/615197014611958376569*c_0101_5^10 + 12866918133579783077891/615197014611958376569*c_0101_5^9 - 11094871519513035637753/615197014611958376569*c_0101_5^8 - 9569266771714725579001/615197014611958376569*c_0101_5^7 + 23746814401972965475765/615197014611958376569*c_0101_5^6 - 7183147817860337579954/615197014611958376569*c_0101_5^5 + 1798181874038329539287/615197014611958376569*c_0101_5^4 + 14611422500409175458606/615197014611958376569*c_0101_5^3 - 5045880542123110234603/615197014611958376569*c_0101_5^2 - 4874857495424587570442/615197014611958376569*c_0101_5 - 15919639712747268483/615197014611958376569, c_0101_0 - 4034676205653077737908/615197014611958376569*c_0101_5^13 - 6006047435386190031033/615197014611958376569*c_0101_5^12 + 4474486511702227089234/615197014611958376569*c_0101_5^11 - 47766288405814785338367/615197014611958376569*c_0101_5^10 + 31038775580308004154752/615197014611958376569*c_0101_5^9 - 24206501670169614843214/615197014611958376569*c_0101_5^8 - 29924803001192215525690/615197014611958376569*c_0101_5^7 + 66870824164745206159098/615197014611958376569*c_0101_5^6 - 14496536397410512823194/615197014611958376569*c_0101_5^5 + 3470393605011111643476/615197014611958376569*c_0101_5^4 + 40666928255896795419382/615197014611958376569*c_0101_5^3 - 12192436698750744984675/615197014611958376569*c_0101_5^2 - 15948918008079686164725/615197014611958376569*c_0101_5 - 1630160063629236860334/615197014611958376569, c_0101_1 - 1047254880997416851280/615197014611958376569*c_0101_5^13 - 2399925482274588733044/615197014611958376569*c_0101_5^12 + 319484213522806520520/615197014611958376569*c_0101_5^11 - 11025731478615429870497/615197014611958376569*c_0101_5^10 - 2358432561112597328723/615197014611958376569*c_0101_5^9 + 5279592928190596387868/615197014611958376569*c_0101_5^8 - 18847975867439161284689/615197014611958376569*c_0101_5^7 + 17920276596018263602777/615197014611958376569*c_0101_5^6 + 6666523094136837741459/615197014611958376569*c_0101_5^5 - 6965094769079129104664/615197014611958376569*c_0101_5^4 + 15209433289971509332619/615197014611958376569*c_0101_5^3 + 494735603649130962247/615197014611958376569*c_0101_5^2 - 6726387838467716452691/615197014611958376569*c_0101_5 - 898748005946579999565/615197014611958376569, c_0101_5^14 + 9/4*c_0101_5^13 + 1/36*c_0101_5^12 + 11*c_0101_5^11 + 4/3*c_0101_5^10 + 2/9*c_0101_5^9 + 12*c_0101_5^8 - 193/18*c_0101_5^7 - 9*c_0101_5^6 + 73/36*c_0101_5^5 - 97/9*c_0101_5^4 - 44/9*c_0101_5^3 + 223/36*c_0101_5^2 + 119/36*c_0101_5 + 2/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB