Magma V2.19-8 Tue Aug 20 2013 16:16:41 on localhost [Seed = 2985307514] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0969 geometric_solution 4.86162422 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0.494491375260 0.164945610242 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 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 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 0.685711011887 0.442077368897 1 4 3 3 0132 0132 3012 2310 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 -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 0.558625287331 1.169800013283 2 2 4 1 3201 1230 1023 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 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 0.558625287331 1.169800013283 5 2 3 5 0132 0132 1023 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 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 0.563141259245 0.655376037923 4 6 6 4 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.448134850154 0.391956954292 6 5 5 6 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.613773331758 0.141865883845 ==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_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], '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_0101_6'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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_0101_1'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), '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_3, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 11744647350900417335687/7698839695503243883*c_0101_6^25 - 326818466680403135293926/7698839695503243883*c_0101_6^23 + 2973587615637548379466635/7698839695503243883*c_0101_6^21 - 9269001422608128207353791/7698839695503243883*c_0101_6^19 + 4410730954960356883644240/7698839695503243883*c_0101_6^17 + 5740180994398880956294483/7698839695503243883*c_0101_6^15 + 15756501231413070203322292/7698839695503243883*c_0101_6^13 + 4183810241510802613899542/7698839695503243883*c_0101_6^11 - 5002180584084872707240188/7698839695503243883*c_0101_6^9 - 4397159790652020520206074/7698839695503243883*c_0101_6^7 + 402007600122762510746200/7698839695503243883*c_0101_6^5 + 690910112087966660776597/7698839695503243883*c_0101_6^3 - 68571419214828160537353/7698839695503243883*c_0101_6, c_0011_0 - 1, c_0011_1 + 413073337757441395/7698839695503243883*c_0101_6^24 - 11210357816859188928/7698839695503243883*c_0101_6^22 + 96795584514017045596/7698839695503243883*c_0101_6^20 - 257385480771373503730/7698839695503243883*c_0101_6^18 - 38752010084827409511/7698839695503243883*c_0101_6^16 + 213498791913283055989/7698839695503243883*c_0101_6^14 + 744090202448657621523/7698839695503243883*c_0101_6^12 + 561387518975173982571/7698839695503243883*c_0101_6^10 + 105895749203232041156/7698839695503243883*c_0101_6^8 - 217841299847457247735/7698839695503243883*c_0101_6^6 - 97383649496973632178/7698839695503243883*c_0101_6^4 - 4121828124882672923/7698839695503243883*c_0101_6^2 + 7763034739985300309/7698839695503243883, c_0011_3 + 2322817715744953282/7698839695503243883*c_0101_6^25 - 64528715222969770169/7698839695503243883*c_0101_6^23 + 585132881462569823502/7698839695503243883*c_0101_6^21 - 1806897630824265809309/7698839695503243883*c_0101_6^19 + 796723959220135057483/7698839695503243883*c_0101_6^17 + 1148964025205771833900/7698839695503243883*c_0101_6^15 + 3170016597595693481160/7698839695503243883*c_0101_6^13 + 984601306749746408101/7698839695503243883*c_0101_6^11 - 877303366852405310638/7698839695503243883*c_0101_6^9 - 841082322334512294774/7698839695503243883*c_0101_6^7 + 55369809231243501504/7698839695503243883*c_0101_6^5 + 131154519835252440380/7698839695503243883*c_0101_6^3 - 26822134977551527836/7698839695503243883*c_0101_6, c_0101_0 - 8638073604243456928/7698839695503243883*c_0101_6^25 + 240273039773700834321/7698839695503243883*c_0101_6^23 - 2184354428128012374960/7698839695503243883*c_0101_6^21 + 6793818640342044029623/7698839695503243883*c_0101_6^19 - 3179457089281475517913/7698839695503243883*c_0101_6^17 - 4224947045089553639082/7698839695503243883*c_0101_6^15 - 11623460353617753428997/7698839695503243883*c_0101_6^13 - 3249444068639188915289/7698839695503243883*c_0101_6^11 + 3533077820488456026714/7698839695503243883*c_0101_6^9 + 3205364561222090749818/7698839695503243883*c_0101_6^7 - 265601308103106340823/7698839695503243883*c_0101_6^5 - 467551820681824427569/7698839695503243883*c_0101_6^3 + 56050973237630875022/7698839695503243883*c_0101_6, c_0101_1 + 1384210652188175249/7698839695503243883*c_0101_6^24 - 38506164787590617756/7698839695503243883*c_0101_6^22 + 349999036182915723915/7698839695503243883*c_0101_6^20 - 1085860953795506771312/7698839695503243883*c_0101_6^18 + 477741431207477750472/7698839695503243883*c_0101_6^16 + 790528958393021581762/7698839695503243883*c_0101_6^14 + 1774201287070424080699/7698839695503243883*c_0101_6^12 + 485513203432730661062/7698839695503243883*c_0101_6^10 - 738123966020776208398/7698839695503243883*c_0101_6^8 - 512446309078138305202/7698839695503243883*c_0101_6^6 + 80689729138714247711/7698839695503243883*c_0101_6^4 + 103786826612925005289/7698839695503243883*c_0101_6^2 - 14000262447463751491/7698839695503243883, c_0101_5 + 643637559644904039/7698839695503243883*c_0101_6^24 - 18054931820336370156/7698839695503243883*c_0101_6^22 + 166888875569281924311/7698839695503243883*c_0101_6^20 - 541995572232054357610/7698839695503243883*c_0101_6^18 + 332195910775519789833/7698839695503243883*c_0101_6^16 + 337899363059524032513/7698839695503243883*c_0101_6^14 + 734505805992667774648/7698839695503243883*c_0101_6^12 + 25048661986955418267/7698839695503243883*c_0101_6^10 - 459277091394114790393/7698839695503243883*c_0101_6^8 - 187919401160960274327/7698839695503243883*c_0101_6^6 + 97725338355554014537/7698839695503243883*c_0101_6^4 + 60552474903909363365/7698839695503243883*c_0101_6^2 - 11973407796197567815/7698839695503243883, c_0101_6^26 - 28*c_0101_6^24 + 258*c_0101_6^22 - 833*c_0101_6^20 + 512*c_0101_6^18 + 424*c_0101_6^16 + 1257*c_0101_6^14 + 124*c_0101_6^12 - 488*c_0101_6^10 - 301*c_0101_6^8 + 99*c_0101_6^6 + 53*c_0101_6^4 - 16*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB