Magma V2.19-8 Wed Aug 21 2013 01:04:33 on localhost [Seed = 998056769] Type ? for help. Type -D to quit. Loading file "L14n24327__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24327 geometric_solution 11.82900485 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 0 0 1 -1 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 1 0 0 0 0 0 -1 5 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960577594913 0.989154220754 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407063348216 0.439041398716 4 0 9 8 0213 0132 0132 0132 1 1 0 1 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 1 -1 0 0 0 0 0 1 -1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486327907273 0.645691335092 10 7 6 0 0132 0213 2310 0132 1 0 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 0 0 0 0 0 1 -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 0.488097738984 0.688635791824 2 5 0 11 0213 0321 0132 0132 1 0 1 1 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 -1 0 0 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342139474824 0.455598596777 7 1 9 4 0321 0132 0213 0321 1 1 1 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 -4 0 0 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 0.760603262843 0.850527841477 10 3 1 8 2103 3201 0132 0321 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473441442973 0.810979806339 5 12 3 1 0321 0132 0213 0132 1 0 1 1 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 -1 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385173945274 1.109898391374 12 6 2 11 2031 0321 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.420103325404 1.149424490069 10 5 11 2 1023 0213 2031 0132 1 1 1 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 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085523510681 1.376212802007 3 9 6 12 0132 1023 2103 3120 1 0 1 0 0 0 0 0 -1 0 0 1 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 1 0 0 -1 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107555650810 0.957227488281 12 8 4 9 3120 1302 0132 1302 1 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 1 0 -1 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 1.476938062757 1.277951279896 10 7 8 11 3120 0132 1302 3120 1 0 1 1 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 0 0 0 0 0 0 0 1 0 0 -1 -5 4 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.274346837279 1.182390692341 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_8'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0110_8'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0110_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_0'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1010_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_1010_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_8'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_11']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : negation(d['c_0011_12']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1010_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0011_8, c_0101_0, c_0101_11, c_0101_3, c_0110_8, c_1001_0, c_1001_2, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 812587663234001436314614401103249/116689637013302073672411281815884\ 80*c_1010_11^15 + 185951649829404548969989585713309/416748703618935\ 977401468863628160*c_1010_11^14 + 300529950630530305053990949350555\ 3/5834481850665103683620564090794240*c_1010_11^13 - 26624424593894251813198836206083971/2917240925332551841810282045397\ 120*c_1010_11^12 + 166059892629987814791018419656329807/11668963701\ 330207367241128181588480*c_1010_11^11 + 466823764278818556452245278130122919/116689637013302073672411281815\ 88480*c_1010_11^10 - 820558307477411784199340477598192257/583448185\ 0665103683620564090794240*c_1010_11^9 + 58238350345613806490288382939167749/7293102313331379604525705113492\ 80*c_1010_11^8 + 591384692849329715740484309540200637/2333792740266\ 041473448225636317696*c_1010_11^7 - 579686497966840301814451854431180793/116689637013302073672411281815\ 8848*c_1010_11^6 + 288455791902313148722568357808795343/16669948144\ 75743909605875454512640*c_1010_11^5 + 38626002443071428737359779341561261/9116377891664224505657131391866\ 0*c_1010_11^4 - 510495960783443016110796483021365177/89761259241001\ 5951326240629352960*c_1010_11^3 + 439445989705952730888905769468213\ 541/2333792740266041473448225636317696*c_1010_11^2 + 1208311400667028016515270697933263877/11668963701330207367241128181\ 588480*c_1010_11 - 759787202591234898388911576393348639/11668963701\ 330207367241128181588480, c_0011_0 - 1, c_0011_10 + 22197359176082298939128/1621612496867412259504367*c_1010_11\ ^15 - 113388680527643909918820/1621612496867412259504367*c_1010_11^\ 14 - 326917401085716927189535/1621612496867412259504367*c_1010_11^1\ 3 + 2570188254516388029080117/1621612496867412259504367*c_1010_11^1\ 2 - 1005239867312932554154044/1621612496867412259504367*c_1010_11^1\ 1 - 15938686971089925135061479/1621612496867412259504367*c_1010_11^\ 10 + 25597256364171269357977230/1621612496867412259504367*c_1010_11\ ^9 + 18400166452432373825649445/1621612496867412259504367*c_1010_11\ ^8 - 79056350668684187052402961/1621612496867412259504367*c_1010_11\ ^7 + 51623401877632649337744390/1621612496867412259504367*c_1010_11\ ^6 + 68624076306032356598334207/1621612496867412259504367*c_1010_11\ ^5 - 105000985003321714581616933/1621612496867412259504367*c_1010_1\ 1^4 + 21671016086803561512204162/1621612496867412259504367*c_1010_1\ 1^3 + 49586570272999053751841521/1621612496867412259504367*c_1010_1\ 1^2 - 16961243363737887078939727/1621612496867412259504367*c_1010_1\ 1 - 12973487906715678837189325/1621612496867412259504367, c_0011_11 - 13231127353040657289060/1621612496867412259504367*c_1010_11\ ^15 + 70809782701726296854036/1621612496867412259504367*c_1010_11^1\ 4 + 179261203184600882290002/1621612496867412259504367*c_1010_11^13 - 1580566148981589643173824/1621612496867412259504367*c_1010_11^12 + 950184860867809288694893/1621612496867412259504367*c_1010_11^11 + 9388705815672628293556575/1621612496867412259504367*c_1010_11^10 - 17380751791627552934468526/1621612496867412259504367*c_1010_11^9 - 7601168403806799250541341/1621612496867412259504367*c_1010_11^8 + 49187532190093932432128969/1621612496867412259504367*c_1010_11^7 - 40694170288798696784805744/1621612496867412259504367*c_1010_11^6 - 33295036814384688809112287/1621612496867412259504367*c_1010_11^5 + 69396759602509142625470112/1621612496867412259504367*c_1010_11^4 - 25814567944122971608529125/1621612496867412259504367*c_1010_11^3 - 24658747562075356014950836/1621612496867412259504367*c_1010_11^2 + 14596595111388570389477590/1621612496867412259504367*c_1010_11 + 6940626066283559647140384/1621612496867412259504367, c_0011_12 + 4518106027759903550781/1621612496867412259504367*c_1010_11^\ 15 - 19750372381685363499356/1621612496867412259504367*c_1010_11^14 - 82442423233694580873843/1621612496867412259504367*c_1010_11^13 + 471479380972992186334354/1621612496867412259504367*c_1010_11^12 + 153674417684358062459888/1621612496867412259504367*c_1010_11^11 - 3323605543417517040800295/1621612496867412259504367*c_1010_11^10 + 3028542452405861017830563/1621612496867412259504367*c_1010_11^9 + 6963618973166726986898946/1621612496867412259504367*c_1010_11^8 - 13825870212778398733956967/1621612496867412259504367*c_1010_11^7 + 734703942750096057615679/1621612496867412259504367*c_1010_11^6 + 21225063212589681882962089/1621612496867412259504367*c_1010_11^5 - 13816587910321352636364759/1621612496867412259504367*c_1010_11^4 - 7942741691703548736524608/1621612496867412259504367*c_1010_11^3 + 15456837025292046398262505/1621612496867412259504367*c_1010_11^2 + 384506394332958898379114/1621612496867412259504367*c_1010_11 - 4351781860094572863997798/1621612496867412259504367, c_0011_6 - 19990937872953001290682/1621612496867412259504367*c_1010_11^\ 15 + 104413991105370092818399/1621612496867412259504367*c_1010_11^1\ 4 + 278155411513692149448779/1621612496867412259504367*c_1010_11^13 - 2327472109295175365255075/1621612496867412259504367*c_1010_11^12 + 1247149900223785160071444/1621612496867412259504367*c_1010_11^11 + 13771311103671508901448678/1621612496867412259504367*c_1010_11^10 - 24729596243231377599584568/1621612496867412259504367*c_1010_11^9 - 10906453929334783866873176/1621612496867412259504367*c_1010_11^8 + 69780927452354107229489461/1621612496867412259504367*c_1010_11^7 - 58764667465853360277619602/1621612496867412259504367*c_1010_11^6 - 46183344501673623651382029/1621612496867412259504367*c_1010_11^5 + 95838768041348766501259745/1621612496867412259504367*c_1010_11^4 - 38639944224439248437993785/1621612496867412259504367*c_1010_11^3 - 33006528066304563694429555/1621612496867412259504367*c_1010_11^2 + 17082362243737664297741904/1621612496867412259504367*c_1010_11 + 9384517809562568190889703/1621612496867412259504367, c_0011_8 - 25011194902517328323194/1621612496867412259504367*c_1010_11^\ 15 + 131511962690838687705843/1621612496867412259504367*c_1010_11^1\ 4 + 343586548495569463731519/1621612496867412259504367*c_1010_11^13 - 2924691464065074963480567/1621612496867412259504367*c_1010_11^12 + 1653858183868601986356402/1621612496867412259504367*c_1010_11^11 + 17197651953400099052331903/1621612496867412259504367*c_1010_11^10 - 31409321776694272240663770/1621612496867412259504367*c_1010_11^9 - 12902580520436555500886864/1621612496867412259504367*c_1010_11^8 + 87032505561173269255150234/1621612496867412259504367*c_1010_11^7 - 74554925473341147799692235/1621612496867412259504367*c_1010_11^6 - 54277682182358239938947094/1621612496867412259504367*c_1010_11^5 + 117765411951724407443152856/1621612496867412259504367*c_1010_11^4 - 49680651279765114488543283/1621612496867412259504367*c_1010_11^3 - 37481807799702543679321290/1621612496867412259504367*c_1010_11^2 + 17363085717293143509172683/1621612496867412259504367*c_1010_11 + 10467406860056983992838681/1621612496867412259504367, c_0101_0 - 1, c_0101_11 + 35701890173130253422801/1621612496867412259504367*c_1010_11\ ^15 - 184129250079906367717008/1621612496867412259504367*c_1010_11^\ 14 - 509940150657565760496674/1621612496867412259504367*c_1010_11^1\ 3 + 4124065544834375456274540/1621612496867412259504367*c_1010_11^1\ 2 - 1930100341999423181644954/1621612496867412259504367*c_1010_11^1\ 1 - 24746044805111706496393299/1621612496867412259504367*c_1010_11^\ 10 + 42317146588780798957896069/1621612496867412259504367*c_1010_11\ ^9 + 22451542005335418349937156/1621612496867412259504367*c_1010_11\ ^8 - 122233047151278466295583194/1621612496867412259504367*c_1010_1\ 1^7 + 96285939644945722334018339/1621612496867412259504367*c_1010_1\ 1^6 + 86603717532830204573860148/1621612496867412259504367*c_1010_1\ 1^5 - 163703505873279528203730860/1621612496867412259504367*c_1010_\ 11^4 + 60351817392113930101946404/1621612496867412259504367*c_1010_\ 11^3 + 60021958716338243003264055/1621612496867412259504367*c_1010_\ 11^2 - 25937952829363385585851363/1621612496867412259504367*c_1010_\ 11 - 15595861454754979693026909/1621612496867412259504367, c_0101_3 - 7310557841451523071787/1621612496867412259504367*c_1010_11^1\ 5 + 35689197505619289885598/1621612496867412259504367*c_1010_11^14 + 112631221429531181808497/1621612496867412259504367*c_1010_11^13 - 809070040411172444055272/1621612496867412259504367*c_1010_11^12 + 210518846924879392820731/1621612496867412259504367*c_1010_11^11 + 5011095416746735906988556/1621612496867412259504367*c_1010_11^10 - 7556969055857082347540443/1621612496867412259504367*c_1010_11^9 - 5723637144469800273368208/1621612496867412259504367*c_1010_11^8 + 24028900973836356140616263/1621612496867412259504367*c_1010_11^7 - 16310638743716088430408829/1621612496867412259504367*c_1010_11^6 - 21593906758508004775849024/1621612496867412259504367*c_1010_11^5 + 32559429583415662330309889/1621612496867412259504367*c_1010_11^4 - 8350667152910956839731728/1621612496867412259504367*c_1010_11^3 - 18037426289650400985143395/1621612496867412259504367*c_1010_11^2 + 5849551821868857096707798/1621612496867412259504367*c_1010_11 + 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199264070224223986810862303/1621612496867412259504367*c_1010_11^4 + 66104592381048276633488573/1621612496867412259504367*c_1010_11^3 + 81133269506799483692632512/1621612496867412259504367*c_1010_11^2 - 34306409574719975361932062/1621612496867412259504367*c_1010_11 - 22297791245451516806215455/1621612496867412259504367, c_1001_2 - 21440454454818830064351/1621612496867412259504367*c_1010_11^\ 15 + 109148866252996535312585/1621612496867412259504367*c_1010_11^1\ 4 + 316170002221420776492881/1621612496867412259504367*c_1010_11^13 - 2470429795148939525395937/1621612496867412259504367*c_1010_11^12 + 966327664314620699230375/1621612496867412259504367*c_1010_11^11 + 15238421447851972033113374/1621612496867412259504367*c_1010_11^10 - 24737289598157985466025332/1621612496867412259504367*c_1010_11^9 - 16706627655457192911963591/1621612496867412259504367*c_1010_11^8 + 76321452662104062087482188/1621612496867412259504367*c_1010_11^7 - 53244360468042363024212486/1621612496867412259504367*c_1010_11^6 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