Magma V2.19-8 Wed Aug 21 2013 01:02:50 on localhost [Seed = 2480244857] Type ? for help. Type -D to quit. Loading file "L14n15926__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15926 geometric_solution 11.12360009 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 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 0 0 0 0 -1 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263230565232 0.589096117147 0 4 4 5 0132 0132 1302 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 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 0.130483194384 0.729182555319 0 0 4 6 3012 0132 0132 0132 1 1 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 0 1 0 -1 -1 0 1 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827957870372 0.662007330354 7 8 9 0 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 10 -11 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710334834688 0.413977056175 1 1 6 2 2031 0132 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762210074110 1.328847493416 8 10 1 6 2031 0132 0132 2031 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 0.253695802940 1.123638063047 11 5 2 4 0132 1302 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 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 1.344391984128 0.530039221508 3 10 12 10 0132 0213 0132 1230 1 1 1 1 0 1 0 -1 0 0 0 0 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 10 0 -10 0 0 0 0 0 10 0 -10 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414875694622 0.796106023176 9 3 5 12 0132 0132 1302 1230 1 1 1 1 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 0 0 0 0 0 0 0 -11 0 0 11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921823219219 0.471385372332 8 12 11 3 0132 1230 1230 0132 1 1 1 1 0 0 0 0 0 0 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 11 -11 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.454574852459 0.452020515785 7 5 7 11 3012 0132 0213 3012 1 1 1 1 0 0 -1 1 1 0 -1 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 -10 10 10 0 -10 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254952827157 0.373806140455 6 12 10 9 0132 3120 1230 3012 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 11 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299574115900 0.873707541743 8 11 9 7 3012 3120 3012 0132 1 1 1 1 0 -1 1 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 -11 11 0 0 0 0 0 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.302758142185 1.525729802478 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0110_5'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), '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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0110_10'], '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_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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'], 'c_1100_12' : d['c_0110_10'], '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_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], '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_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_11']})} 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_3, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_0101_6, c_0110_10, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 19003712312178617573518745110036077196/5840767403526403978085911248\ 217611*c_0110_5^11 + 156050211099256398338876515519776025640/584076\ 7403526403978085911248217611*c_0110_5^10 - 146821041050926514795848583960717842165/233630696141056159123436449\ 92870444*c_0110_5^9 - 1234126348966902564696606491981412876568/5840\ 767403526403978085911248217611*c_0110_5^8 - 3113170329054567440848796186889615431/57403119444976943273571609319\ 092*c_0110_5^7 - 2116714790029822393669763691684834417251/778768987\ 1368538637447881664290148*c_0110_5^6 - 3929348905481619538584370113628998801181/21239154194641469011221495\ 44806404*c_0110_5^5 - 30476906279881712887523815200811842856583/233\ 63069614105615912343644992870444*c_0110_5^4 + 32277062684483193259115941398014204953091/2336306961410561591234364\ 4992870444*c_0110_5^3 + 721125604011060625556766340958861670587/530\ 978854866036725280537386201601*c_0110_5^2 + 4516210128945789972440194803988039702529/23363069614105615912343644\ 992870444*c_0110_5 + 854961986432043408179808553584574547809/584076\ 7403526403978085911248217611, c_0011_0 - 1, c_0011_10 - 2054841057116863703460242/740358872678732167406853637*c_011\ 0_5^11 + 15785898187139672808970590/740358872678732167406853637*c_0\ 110_5^10 + 93558104963681397245595041/5922870981429857339254829096*\ c_0110_5^9 - 1573194506344809311585638521/5922870981429857339254829\ 096*c_0110_5^8 - 30629876139093506389698753/53844281649362339447771\ 1736*c_0110_5^7 + 1801027496877488640431083625/59228709814298573392\ 54829096*c_0110_5^6 - 1148752439179341254820268329/5384428164936233\ 94477711736*c_0110_5^5 - 5379303086241481889778690529/5922870981429\ 857339254829096*c_0110_5^4 + 30116478664432904352745480309/59228709\ 81429857339254829096*c_0110_5^3 + 99314685742218446793627237/134610\ 704123405848619427934*c_0110_5^2 - 2385685502127735935858266726/740358872678732167406853637*c_0110_5 + 123484680400299684728760844/740358872678732167406853637, c_0011_11 - 4116936122844675772397232/740358872678732167406853637*c_011\ 0_5^11 + 34363235135632345364729588/740358872678732167406853637*c_0\ 110_5^10 - 9784855149327988362812649/740358872678732167406853637*c_\ 0110_5^9 - 1156665021906091200413971981/296143549071492866962741454\ 8*c_0110_5^8 - 10557470306222898103134921/2692214082468116972388558\ 68*c_0110_5^7 - 412267163799446650131392001/29614354907149286696274\ 14548*c_0110_5^6 - 876470098420825031536781439/26922140824681169723\ 8855868*c_0110_5^5 - 4699149228999378926281670701/29614354907149286\ 69627414548*c_0110_5^4 + 14816363400740733052391428065/296143549071\ 4928669627414548*c_0110_5^3 + 443397287207988014404318605/269221408\ 246811697238855868*c_0110_5^2 - 1814854843017291745365744803/740358\ 872678732167406853637*c_0110_5 - 104555693687756497844314583/740358\ 872678732167406853637, c_0011_12 - 1950252938903839249235236/740358872678732167406853637*c_011\ 0_5^11 + 11107970313128083579182640/740358872678732167406853637*c_0\ 110_5^10 + 207731154536139454728776881/2961435490714928669627414548\ *c_0110_5^9 - 566793132962155523953246343/1480717745357464334813707\ 274*c_0110_5^8 - 22751435871216685442352563/13461070412340584861942\ 7934*c_0110_5^7 + 468376147888321317212739750/740358872678732167406\ 853637*c_0110_5^6 - 202219426743400519514223685/6730535206170292430\ 9713967*c_0110_5^5 - 2970215876595081739994901283/14807177453574643\ 34813707274*c_0110_5^4 + 9548597952027283769548203053/1480717745357\ 464334813707274*c_0110_5^3 + 342159788518859994634583141/2692214082\ 46811697238855868*c_0110_5^2 - 3053578633834680422180082869/7403588\ 72678732167406853637*c_0110_5 + 460101277068020240204926108/7403588\ 72678732167406853637, c_0011_3 + 321313194257556003924126/740358872678732167406853637*c_0110_\ 5^11 + 1633013943410081841454854/740358872678732167406853637*c_0110\ _5^10 - 349966073861213014268756023/5922870981429857339254829096*c_\ 0110_5^9 + 943394446934298643081453763/5922870981429857339254829096\ *c_0110_5^8 + 104410671573111848574439287/5384428164936233944777117\ 36*c_0110_5^7 - 2407522388706953621684405383/5922870981429857339254\ 829096*c_0110_5^6 + 647001712193354074751838383/5384428164936233944\ 77711736*c_0110_5^5 + 9782765075755765629315723703/5922870981429857\ 339254829096*c_0110_5^4 - 14136886297140561982054893387/59228709814\ 29857339254829096*c_0110_5^3 - 240158045430401079852069621/13461070\ 4123405848619427934*c_0110_5^2 + 1522556229904897971560130141/14807\ 17745357464334813707274*c_0110_5 + 482418238425887511582490905/740358872678732167406853637, c_0101_0 - 1, c_0101_11 + 468024038043475184477402/67305352061702924309713967*c_0110_\ 5^11 - 4313130280123816780256834/67305352061702924309713967*c_0110_\ 5^10 + 39689966987510742367377339/538442816493623394477711736*c_011\ 0_5^9 + 220708319775285229106388451/538442816493623394477711736*c_0\ 110_5^8 - 158268531116249247244516235/538442816493623394477711736*c\ _0110_5^7 + 323779013531395742754804749/538442816493623394477711736\ *c_0110_5^6 + 1732529848932885333746536385/538442816493623394477711\ 736*c_0110_5^5 - 390987877034669261143500801/5384428164936233944777\ 11736*c_0110_5^4 - 2484828490706422902407694987/5384428164936233944\ 77711736*c_0110_5^3 - 105598889376951587401702881/26922140824681169\ 7238855868*c_0110_5^2 + 214278991947634352396707911/134610704123405\ 848619427934*c_0110_5 + 34385173853728741517655691/6730535206170292\ 4309713967, c_0101_12 - 3461982651846733311850590/740358872678732167406853637*c_011\ 0_5^11 + 39199287559185493063518310/740358872678732167406853637*c_0\ 110_5^10 - 886877281260905599035183305/5922870981429857339254829096\ *c_0110_5^9 - 444317233230564701139856905/5922870981429857339254829\ 096*c_0110_5^8 + 313693888743167784908053271/5384428164936233944777\ 11736*c_0110_5^7 - 7188832990190866476225997875/5922870981429857339\ 254829096*c_0110_5^6 - 217741105290434139583977869/5384428164936233\ 94477711736*c_0110_5^5 + 20242456168448518932506228615/592287098142\ 9857339254829096*c_0110_5^4 - 4737828960865867860756619803/59228709\ 81429857339254829096*c_0110_5^3 - 473186824452686817542434441/26922\ 1408246811697238855868*c_0110_5^2 + 616895128036845986841541120/740358872678732167406853637*c_0110_5 - 266934831268984560468509715/740358872678732167406853637, c_0101_2 + 6700645339018543600966900/740358872678732167406853637*c_0110\ _5^11 - 64252436022568954638166984/740358872678732167406853637*c_01\ 10_5^10 + 379705642213041185867464731/2961435490714928669627414548*\ c_0110_5^9 + 362243879703302385140895579/74035887267873216740685363\ 7*c_0110_5^8 - 39881178632775119238308160/6730535206170292430971396\ 7*c_0110_5^7 + 1564910154438751710686095853/14807177453574643348137\ 07274*c_0110_5^6 + 516203897801765075679399679/13461070412340584861\ 9427934*c_0110_5^5 - 1816423102084268654960111976/74035887267873216\ 7406853637*c_0110_5^4 - 3481107065628908174066547000/74035887267873\ 2167406853637*c_0110_5^3 + 476580289151711826061905433/269221408246\ 811697238855868*c_0110_5^2 + 1568622960328137565961452810/740358872\ 678732167406853637*c_0110_5 - 118425846749319879199733656/740358872\ 678732167406853637, c_0101_4 + 1552380920540316571715478/740358872678732167406853637*c_0110\ _5^11 - 16808002941206970055341810/740358872678732167406853637*c_01\ 10_5^10 + 322821647563464205693778733/5922870981429857339254829096*\ c_0110_5^9 + 470159520098281560956891671/59228709814298573392548290\ 96*c_0110_5^8 - 160780897945951706661949045/53844281649362339447771\ 1736*c_0110_5^7 + 2698071468909653672441531173/59228709814298573392\ 54829096*c_0110_5^6 + 332285742274174968971062331/53844281649362339\ 4477711736*c_0110_5^5 - 10230518169292787367102386997/5922870981429\ 857339254829096*c_0110_5^4 - 515743127260613466047731143/5922870981\ 429857339254829096*c_0110_5^3 + 291089589264331706731804157/1346107\ 04123405848619427934*c_0110_5^2 + 780177009232297255559118599/14807\ 17745357464334813707274*c_0110_5 - 496662759140336035893946257/740358872678732167406853637, c_0101_6 + 6700645339018543600966900/740358872678732167406853637*c_0110\ _5^11 - 64252436022568954638166984/740358872678732167406853637*c_01\ 10_5^10 + 379705642213041185867464731/2961435490714928669627414548*\ c_0110_5^9 + 362243879703302385140895579/74035887267873216740685363\ 7*c_0110_5^8 - 39881178632775119238308160/6730535206170292430971396\ 7*c_0110_5^7 + 1564910154438751710686095853/14807177453574643348137\ 07274*c_0110_5^6 + 516203897801765075679399679/13461070412340584861\ 9427934*c_0110_5^5 - 1816423102084268654960111976/74035887267873216\ 7406853637*c_0110_5^4 - 3481107065628908174066547000/74035887267873\ 2167406853637*c_0110_5^3 + 476580289151711826061905433/269221408246\ 811697238855868*c_0110_5^2 + 828264087649405398554599173/7403588726\ 78732167406853637*c_0110_5 - 118425846749319879199733656/7403588726\ 78732167406853637, c_0110_10 - 1087136212665697023884792/740358872678732167406853637*c_011\ 0_5^11 + 5250183815082636180921320/740358872678732167406853637*c_01\ 10_5^10 + 74379822465581665010879831/1480717745357464334813707274*c\ _0110_5^9 - 328072333613240686839902963/148071774535746433481370727\ 4*c_0110_5^8 - 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