Magma V2.19-8 Tue Aug 20 2013 23:53:21 on localhost [Seed = 998068425] Type ? for help. Type -D to quit. Loading file "L13n5871__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5871 geometric_solution 11.19655784 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 -1 0 1 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 -4 1 3 0 0 -3 3 1 -1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890885511140 0.947301495084 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 0 0 0 0 0 0 0 -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 -3 3 0 0 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459317083106 0.942076284891 0 0 7 6 3012 0132 0132 0132 1 1 1 0 0 1 -1 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 4 -4 0 -3 0 3 0 -3 3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120000173266 1.041807964574 8 9 10 0 0132 0132 0132 0132 1 1 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 0 0 0 0 0 1 -1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977550641846 0.785903390487 1 1 9 10 2031 0132 3201 2031 1 1 0 1 0 0 0 0 0 0 0 0 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 1 0 0 -1 3 -4 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581861189102 0.857618129235 11 11 1 8 0132 2310 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267364441175 0.873053304199 9 11 2 11 2031 3120 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271228858882 1.436762291257 10 10 8 2 0132 1230 0132 0132 1 1 0 1 0 0 -1 1 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 -4 4 0 0 3 -3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009542138152 1.239547706382 3 9 5 7 0132 1302 1230 0132 1 1 1 1 0 -1 0 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 0 -4 0 4 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407782950925 0.484885419648 4 3 6 8 2310 0132 1302 2031 1 1 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 0 0 0 0 0 0 0 -3 0 -1 4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649072999947 0.716659969240 7 4 7 3 0132 1302 3012 0132 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 0 0 0 0 1 0 -1 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 0.604976965058 0.485021752362 5 6 6 5 0132 3120 2031 3201 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 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 -0.496756138957 1.231919520775 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : negation(d['c_0101_4']), 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_3']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0101_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_4']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_4, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 4182289547281034338675055985458375/54505656081431478922202656417*c_\ 0110_6^16 - 24266928192977114649885099888294755/5450565608143147892\ 2202656417*c_0110_6^15 - 30759320912724962953210721956857596/545056\ 56081431478922202656417*c_0110_6^14 + 27398168306050650962382075129491469/7786522297347354131743236631*c_\ 0110_6^13 + 161296423678132252061807403654690235/545056560814314789\ 22202656417*c_0110_6^12 - 76379860943091612267889150770279628/77865\ 22297347354131743236631*c_0110_6^11 - 222928080277835491892403878251566999/54505656081431478922202656417*\ c_0110_6^10 + 711033770993749361543850302079635926/5450565608143147\ 8922202656417*c_0110_6^9 + 10830888736968899658861003976875299/7786\ 522297347354131743236631*c_0110_6^8 - 487907768722319739114207595610302161/54505656081431478922202656417*\ c_0110_6^7 + 42170487863994751030800273000578041/545056560814314789\ 22202656417*c_0110_6^6 + 171919758328340636970206204865400104/54505\ 656081431478922202656417*c_0110_6^5 - 20624339476680349356338999025198657/54505656081431478922202656417*c\ _0110_6^4 - 28101099661480373009564355921008703/5450565608143147892\ 2202656417*c_0110_6^3 - 2955207992413078526945110632420133/54505656\ 081431478922202656417*c_0110_6^2 + 112650718902522918710000243231110/7786522297347354131743236631*c_01\ 10_6 + 193326029704397773494904871838547/54505656081431478922202656\ 417, c_0011_0 - 1, c_0011_10 + 511485758958996837286925/200028830820442215730553*c_0110_6^\ 16 + 1280756665902812678987396/200028830820442215730553*c_0110_6^15 - 5753238030034637624518746/200028830820442215730553*c_0110_6^14 - 34225841328912689962083339/200028830820442215730553*c_0110_6^13 + 59843961867079457549515897/200028830820442215730553*c_0110_6^12 + 117807930309833376249618820/200028830820442215730553*c_0110_6^11 - 201540142399379610024428218/200028830820442215730553*c_0110_6^10 - 139504520979088272886785978/200028830820442215730553*c_0110_6^9 + 298584973917902612724651320/200028830820442215730553*c_0110_6^8 + 35149464609697712382592133/200028830820442215730553*c_0110_6^7 - 211170900531106755106866244/200028830820442215730553*c_0110_6^6 + 38099181732921433912863685/200028830820442215730553*c_0110_6^5 + 67200464524155463985652115/200028830820442215730553*c_0110_6^4 - 19893748808987387445673120/200028830820442215730553*c_0110_6^3 - 7445483387725028521196152/200028830820442215730553*c_0110_6^2 + 567497983278457175059792/200028830820442215730553*c_0110_6 + 322107312300456987682584/200028830820442215730553, c_0011_11 + 5306989689574760468581475/400057661640884431461106*c_0110_6\ ^16 + 15028061871602796513225716/200028830820442215730553*c_0110_6^\ 15 + 17258995476050626869389829/200028830820442215730553*c_0110_6^1\ 4 - 250250084269308676847151797/400057661640884431461106*c_0110_6^1\ 3 - 173145303397907322016737717/400057661640884431461106*c_0110_6^1\ 2 + 358514561981980951964550428/200028830820442215730553*c_0110_6^1\ 1 + 201060694437271691724650043/400057661640884431461106*c_0110_6^1\ 0 - 484831251251000412173414723/200028830820442215730553*c_0110_6^9 + 4404730812351324832319263/200028830820442215730553*c_0110_6^8 + 672817159001252211961891475/400057661640884431461106*c_0110_6^7 - 63531604502631690708578112/200028830820442215730553*c_0110_6^6 - 241710748164504136956500075/400057661640884431461106*c_0110_6^5 + 55699348061536810955849367/400057661640884431461106*c_0110_6^4 + 44069012427218429344311755/400057661640884431461106*c_0110_6^3 - 2354504606000918308232149/400057661640884431461106*c_0110_6^2 - 1861775422879395114675867/200028830820442215730553*c_0110_6 - 202865452744749029283217/200028830820442215730553, c_0011_3 + 1019345901188821860741275/200028830820442215730553*c_0110_6^\ 16 + 4758105507451839695543473/200028830820442215730553*c_0110_6^15 + 1105592807371357254518069/200028830820442215730553*c_0110_6^14 - 53366772389972119767265253/200028830820442215730553*c_0110_6^13 + 16124901081365024890780127/200028830820442215730553*c_0110_6^12 + 159915561601316715935145332/200028830820442215730553*c_0110_6^11 - 107610589456833567562335841/200028830820442215730553*c_0110_6^10 - 189022162942308209172476742/200028830820442215730553*c_0110_6^9 + 197861328884626528532780445/200028830820442215730553*c_0110_6^8 + 70770459176541328217582735/200028830820442215730553*c_0110_6^7 - 146571631290905905949615832/200028830820442215730553*c_0110_6^6 + 21903686643220274663137108/200028830820442215730553*c_0110_6^5 + 38745151267500487250019683/200028830820442215730553*c_0110_6^4 - 15693642105533144145154423/200028830820442215730553*c_0110_6^3 - 156472938850859484006352/200028830820442215730553*c_0110_6^2 + 330139748856212430646270/200028830820442215730553*c_0110_6 + 28600151515688074181223/200028830820442215730553, c_0011_6 - 1216445720733740966595600/200028830820442215730553*c_0110_6^\ 16 - 15554472249089833715317179/400057661640884431461106*c_0110_6^1\ 5 - 25786930116114012782469595/400057661640884431461106*c_0110_6^14 + 51679540319198894365480900/200028830820442215730553*c_0110_6^13 + 161987397928727891533848779/400057661640884431461106*c_0110_6^12 - 138183048043521782755336825/200028830820442215730553*c_0110_6^11 - 318192235782019927936445205/400057661640884431461106*c_0110_6^10 + 389811781336521997528328673/400057661640884431461106*c_0110_6^9 + 278052738234743290028987779/400057661640884431461106*c_0110_6^8 - 156505407321358758080872296/200028830820442215730553*c_0110_6^7 - 116432778975657265421403071/400057661640884431461106*c_0110_6^6 + 138669812126578404475398253/400057661640884431461106*c_0110_6^5 + 30617754519227563363284977/400057661640884431461106*c_0110_6^4 - 14106324362514967817446605/200028830820442215730553*c_0110_6^3 - 3808396302778956399094069/200028830820442215730553*c_0110_6^2 + 220132661472982095624855/200028830820442215730553*c_0110_6 - 131869032012489981982451/400057661640884431461106, c_0101_0 - 1, c_0101_10 - 248115398358069864462975/400057661640884431461106*c_0110_6^\ 16 - 886468668730530565255887/400057661640884431461106*c_0110_6^15 + 1893612075966452273390255/400057661640884431461106*c_0110_6^14 + 17980629590828725129011767/400057661640884431461106*c_0110_6^13 - 7135559054676507712451219/200028830820442215730553*c_0110_6^12 - 39295230332699717083304577/200028830820442215730553*c_0110_6^11 + 28368646500512013774003946/200028830820442215730553*c_0110_6^10 + 141593652276931066240149255/400057661640884431461106*c_0110_6^9 - 107977052000255021081344049/400057661640884431461106*c_0110_6^8 - 116989097184398799316435235/400057661640884431461106*c_0110_6^7 + 100838698205042396152697039/400057661640884431461106*c_0110_6^6 + 20958156073877316695080585/200028830820442215730553*c_0110_6^5 - 21416987230467074839503429/200028830820442215730553*c_0110_6^4 - 8481371534476673742800001/400057661640884431461106*c_0110_6^3 + 6335966523021267098827509/400057661640884431461106*c_0110_6^2 + 1321151808683291683755115/200028830820442215730553*c_0110_6 + 55216799531088615512573/400057661640884431461106, c_0101_11 - 2016385743548651932313075/400057661640884431461106*c_0110_6\ ^16 - 10228026063885579399023929/400057661640884431461106*c_0110_6^\ 15 - 5249390953828266471832175/400057661640884431461106*c_0110_6^14 + 109298161029704361473018455/400057661640884431461106*c_0110_6^13 + 9144356233888046924748226/200028830820442215730553*c_0110_6^12 - 179705254666458440706822751/200028830820442215730553*c_0110_6^11 + 23113269545984083450566298/200028830820442215730553*c_0110_6^10 + 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