Magma V2.19-8 Tue Aug 20 2013 23:39:28 on localhost [Seed = 660685666] Type ? for help. Type -D to quit. Loading file "K11n84__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n84 geometric_solution 11.43159695 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 1 0 -1 0 0 -4 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549831218689 0.703223460987 0 5 6 4 0132 0132 0132 2103 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 -1 0 1 0 -1 0 0 1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353507370994 1.407460902066 6 0 8 7 2103 0132 0132 0132 0 0 0 0 0 0 0 0 1 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 0 0 -1 0 1 4 0 -4 0 0 1 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744227367322 0.462812539600 5 9 5 0 0132 0132 3120 0132 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 -1 1 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489780941960 0.679031769523 7 9 0 1 0132 0321 0132 2103 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 1 -1 0 0 0 0 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744227367322 0.462812539600 3 1 3 10 0132 0132 3120 0132 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 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489780941960 0.679031769523 11 9 2 1 0132 3012 2103 0132 0 0 0 0 0 0 0 0 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 0 0 0 5 0 -4 -1 -5 0 0 5 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959453208618 1.255940664672 4 8 2 11 0132 0213 0132 0132 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 -1 1 0 0 0 0 -4 4 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549831218689 0.703223460987 10 9 7 2 1230 0213 0213 0132 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832135866242 0.668337422383 6 3 8 4 1230 0132 0213 0321 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 4 -5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959453208618 1.255940664672 11 8 5 11 3012 3012 0132 2031 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 0 0 -1 0 1 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301280681414 0.968703709459 6 10 7 10 0132 1302 0132 1230 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 -5 0 0 5 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489780941960 0.679031769523 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : 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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_2'], 'c_1100_8' : d['c_0110_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0110_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : d['c_0011_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0110_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_8'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_10, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2289979/927936*c_1001_3^8 - 219373/103104*c_1001_3^7 - 287999/12888*c_1001_3^6 - 8797957/309312*c_1001_3^5 - 807389/103104*c_1001_3^4 + 197371/11456*c_1001_3^3 + 96863/51552*c_1001_3^2 - 8101919/463968*c_1001_3 - 12664381/927936, c_0011_0 - 1, c_0011_10 + c_1001_3, c_0011_11 + 1, c_0011_8 - 109/358*c_1001_3^8 + 241/358*c_1001_3^7 + 408/179*c_1001_3^6 + 25/358*c_1001_3^5 - 1289/358*c_1001_3^4 - 395/358*c_1001_3^3 + 562/179*c_1001_3^2 + 547/179*c_1001_3 - 611/358, c_0101_0 + 153/716*c_1001_3^8 - 335/716*c_1001_3^7 - 265/179*c_1001_3^6 - 265/716*c_1001_3^5 + 1205/716*c_1001_3^4 + 249/716*c_1001_3^3 - 623/358*c_1001_3^2 - 643/358*c_1001_3 + 677/716, c_0101_1 - 501/1432*c_1001_3^8 + 395/1432*c_1001_3^7 + 569/179*c_1001_3^6 + 6329/1432*c_1001_3^5 + 1347/1432*c_1001_3^4 - 2837/1432*c_1001_3^3 - 473/716*c_1001_3^2 + 1565/716*c_1001_3 + 1307/1432, c_0101_10 + 235/716*c_1001_3^8 - 201/716*c_1001_3^7 - 517/179*c_1001_3^6 - 3023/716*c_1001_3^5 - 709/716*c_1001_3^4 + 2011/716*c_1001_3^3 + 557/358*c_1001_3^2 - 887/358*c_1001_3 - 1169/716, c_0101_7 - 463/1432*c_1001_3^8 + 265/1432*c_1001_3^7 + 563/179*c_1001_3^6 + 6675/1432*c_1001_3^5 + 233/1432*c_1001_3^4 - 5583/1432*c_1001_3^3 - 843/716*c_1001_3^2 + 2491/716*c_1001_3 + 2617/1432, c_0110_10 + 153/716*c_1001_3^8 - 335/716*c_1001_3^7 - 265/179*c_1001_3^6 - 265/716*c_1001_3^5 + 1205/716*c_1001_3^4 + 249/716*c_1001_3^3 - 623/358*c_1001_3^2 - 643/358*c_1001_3 + 677/716, c_1001_0 + 501/1432*c_1001_3^8 - 395/1432*c_1001_3^7 - 569/179*c_1001_3^6 - 6329/1432*c_1001_3^5 - 1347/1432*c_1001_3^4 + 2837/1432*c_1001_3^3 + 473/716*c_1001_3^2 - 1565/716*c_1001_3 - 1307/1432, c_1001_2 + 463/1432*c_1001_3^8 - 265/1432*c_1001_3^7 - 563/179*c_1001_3^6 - 6675/1432*c_1001_3^5 - 233/1432*c_1001_3^4 + 5583/1432*c_1001_3^3 + 843/716*c_1001_3^2 - 2491/716*c_1001_3 - 2617/1432, c_1001_3^9 - 9*c_1001_3^7 - 21*c_1001_3^6 - 18*c_1001_3^5 + 9*c_1001_3^3 - 4*c_1001_3^2 - 13*c_1001_3 - 9 ], 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_10, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 103986362026522270860511/97015323572904085002*c_1001_3^13 + 38761053568280573957448145/4592058649117460023428*c_1001_3^12 + 66948611667404092450775069/2296029324558730011714*c_1001_3^11 + 10440174925065306856991159/194030647145808170004*c_1001_3^10 + 655056234593045947336056337/13776175947352380070284*c_1001_3^9 - 136901107257724227131612603/13776175947352380070284*c_1001_3^8 - 530838073285693670088742619/6888087973676190035142*c_1001_3^7 - 596397872070348646842630641/6888087973676190035142*c_1001_3^6 - 444786270827083589572834399/13776175947352380070284*c_1001_3^5 + 108080210294444279297702291/4592058649117460023428*c_1001_3^4 + 160999798683410353460951857/4592058649117460023428*c_1001_3^3 + 83913492611054000330122607/4592058649117460023428*c_1001_3^2 + 3511705473422859105458803/765343108186243337238*c_1001_3 + 219477837627653635394107/510228738790828891492, c_0011_0 - 1, c_0011_10 + 7125473427378410618/437005962040108491*c_1001_3^13 + 65651620791406987871/437005962040108491*c_1001_3^12 + 88410087498422833256/145668654013369497*c_1001_3^11 + 589270691828405064824/437005962040108491*c_1001_3^10 + 704091455285279070778/437005962040108491*c_1001_3^9 + 203698210897322165515/437005962040108491*c_1001_3^8 - 78912296954090983766/48556218004456499*c_1001_3^7 - 1188159193480756491979/437005962040108491*c_1001_3^6 - 745443583230421673542/437005962040108491*c_1001_3^5 + 81838413219865195384/437005962040108491*c_1001_3^4 + 158847375192549172006/145668654013369497*c_1001_3^3 + 112850887699908569105/145668654013369497*c_1001_3^2 + 11742675580644410529/48556218004456499*c_1001_3 + 1448486649586401268/48556218004456499, c_0011_11 + 15852033437493522439/2622035772240650946*c_1001_3^13 + 6368741227126834487/145668654013369497*c_1001_3^12 + 119187467196644261609/874011924080216982*c_1001_3^11 + 567432044536605803851/2622035772240650946*c_1001_3^10 + 348835504736479674823/2622035772240650946*c_1001_3^9 - 169561774641151368337/1311017886120325473*c_1001_3^8 - 435975416666410073075/1311017886120325473*c_1001_3^7 - 696398559516084791197/2622035772240650946*c_1001_3^6 - 78204504456708445009/2622035772240650946*c_1001_3^5 + 11258272539371479715/97112436008912998*c_1001_3^4 + 88436140855047547939/874011924080216982*c_1001_3^3 + 2164653586143764755/48556218004456499*c_1001_3^2 + 4540985908806162935/291337308026738994*c_1001_3 + 125394979599450705/48556218004456499, c_0011_8 - 33934076137415529277/2622035772240650946*c_1001_3^13 - 47589116359575999935/437005962040108491*c_1001_3^12 - 355045912971066526757/874011924080216982*c_1001_3^11 - 2184564430895155336711/2622035772240650946*c_1001_3^10 - 2365027480131866838457/2622035772240650946*c_1001_3^9 - 192136258940735000120/1311017886120325473*c_1001_3^8 + 1358490959856291782300/1311017886120325473*c_1001_3^7 + 4045843083316240862623/2622035772240650946*c_1001_3^6 + 2335584126233268014725/2622035772240650946*c_1001_3^5 - 130038180251964344147/874011924080216982*c_1001_3^4 - 528504126710374908883/874011924080216982*c_1001_3^3 - 20725596554439926713/48556218004456499*c_1001_3^2 - 41460046466173237139/291337308026738994*c_1001_3 - 970461423084501244/48556218004456499, c_0101_0 + 4943692834393931671/437005962040108491*c_1001_3^13 + 46596772032957099689/437005962040108491*c_1001_3^12 + 21478158588538969143/48556218004456499*c_1001_3^11 + 444295685307559099372/437005962040108491*c_1001_3^10 + 187042069683106737280/145668654013369497*c_1001_3^9 + 71986882407821292293/145668654013369497*c_1001_3^8 - 491303699277129983192/437005962040108491*c_1001_3^7 - 308697636494879113657/145668654013369497*c_1001_3^6 - 216034086669689109761/145668654013369497*c_1001_3^5 - 488223643733617622/437005962040108491*c_1001_3^4 + 120944091977129678386/145668654013369497*c_1001_3^3 + 32198820245984351547/48556218004456499*c_1001_3^2 + 11239065148144558363/48556218004456499*c_1001_3 + 1566008707013410069/48556218004456499, c_0101_1 - 9458384300792902096/437005962040108491*c_1001_3^13 - 78890664907105085743/437005962040108491*c_1001_3^12 - 97034014271916921514/145668654013369497*c_1001_3^11 - 587737687191041936953/437005962040108491*c_1001_3^10 - 617507728823176842650/437005962040108491*c_1001_3^9 - 66599847055893320684/437005962040108491*c_1001_3^8 + 251324721664077837950/145668654013369497*c_1001_3^7 + 1067401744302144737468/437005962040108491*c_1001_3^6 + 578599607431478895866/437005962040108491*c_1001_3^5 - 137746485650943948053/437005962040108491*c_1001_3^4 - 141160095328283029258/145668654013369497*c_1001_3^3 - 31379730318580902754/48556218004456499*c_1001_3^2 - 9884193188222606357/48556218004456499*c_1001_3 - 1251127230318122211/48556218004456499, c_0101_10 - 32118604417596988001/2622035772240650946*c_1001_3^13 - 16044613463628911711/145668654013369497*c_1001_3^12 - 381473194071195521953/874011924080216982*c_1001_3^11 - 2501095677047579209337/2622035772240650946*c_1001_3^10 - 2947320653222326663913/2622035772240650946*c_1001_3^9 - 417662404903759719205/1311017886120325473*c_1001_3^8 + 1475594694331559354077/1311017886120325473*c_1001_3^7 + 4931121940890789221561/2622035772240650946*c_1001_3^6 + 3144184565843423992601/2622035772240650946*c_1001_3^5 - 27294942930936412129/291337308026738994*c_1001_3^4 - 643337878709854074827/874011924080216982*c_1001_3^3 - 26714994809331877051/48556218004456499*c_1001_3^2 - 54710768999586199783/291337308026738994*c_1001_3 - 1307139092531444740/48556218004456499, c_0101_7 - 54369872678343404929/2622035772240650946*c_1001_3^13 - 76463956415943712300/437005962040108491*c_1001_3^12 - 570398205150810073775/874011924080216982*c_1001_3^11 - 3492207718994505029011/2622035772240650946*c_1001_3^10 - 3713320041713830013569/2622035772240650946*c_1001_3^9 - 220707999748873474610/1311017886120325473*c_1001_3^8 + 2254839277028555720378/1311017886120325473*c_1001_3^7 + 6430900884221649403423/2622035772240650946*c_1001_3^6 + 3481629885941885367697/2622035772240650946*c_1001_3^5 - 286553786445896046433/874011924080216982*c_1001_3^4 - 856863595639389843241/874011924080216982*c_1001_3^3 - 93781050606478476736/145668654013369497*c_1001_3^2 - 57610461833459340185/291337308026738994*c_1001_3 - 1196210491196848234/48556218004456499, c_0110_10 + 61737014466476887969/2622035772240650946*c_1001_3^13 + 28538160515337706808/145668654013369497*c_1001_3^12 + 628305536668961773289/874011924080216982*c_1001_3^11 + 3764597775176493387121/2622035772240650946*c_1001_3^10 + 3853713100510907706481/2622035772240650946*c_1001_3^9 + 104327978022033612926/1311017886120325473*c_1001_3^8 - 2494988600905448044550/1311017886120325473*c_1001_3^7 - 6730133321895874354189/2622035772240650946*c_1001_3^6 - 3392703018676589236309/2622035772240650946*c_1001_3^5 + 123018436021044737521/291337308026738994*c_1001_3^4 + 897658563245241318709/874011924080216982*c_1001_3^3 + 93375880483447505950/145668654013369497*c_1001_3^2 + 55542750574087412111/291337308026738994*c_1001_3 + 1181248029372661303/48556218004456499, c_1001_0 + 19746672045295048279/2622035772240650946*c_1001_3^13 + 31970055898745964560/437005962040108491*c_1001_3^12 + 273181287132440908817/874011924080216982*c_1001_3^11 + 1947958392975742070227/2622035772240650946*c_1001_3^10 + 2581333993182688237393/2622035772240650946*c_1001_3^9 + 594364115096939846831/1311017886120325473*c_1001_3^8 - 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