Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 3431813332] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s727 geometric_solution 5.24021048 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 0 -1 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 0.255368511396 0.521925361613 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533721453149 1.098028589214 1 3 0 4 1230 0132 0132 3201 0 0 0 0 0 -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 1 -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 0.533721453149 1.098028589214 1 2 3 3 0132 0132 2031 1302 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493287148586 1.030958244412 5 2 5 1 0132 2310 2310 0132 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 0 0 0 0 0 0 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 0.431816768792 1.523959005873 4 4 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.433661436385 0.154063828180 ==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_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_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_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), '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_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 1380069118283531081634200/563478780066410788922287*c_0101_4^17 - 1824024314921853625172677/563478780066410788922287*c_0101_4^16 + 12009566551209947266488857/563478780066410788922287*c_0101_4^15 + 1024218585295578312137843/563478780066410788922287*c_0101_4^14 - 93784381209355531576873472/563478780066410788922287*c_0101_4^13 - 67535513258783421630910673/563478780066410788922287*c_0101_4^12 + 543954113868321340065962231/563478780066410788922287*c_0101_4^11 + 770819585933029385789097196/563478780066410788922287*c_0101_4^10 - 578094400554408840063461506/563478780066410788922287*c_0101_4^9 - 1569190593770513069775333828/563478780066410788922287*c_0101_4^8 + 26338911311562378442220782/18176734840851960932977*c_0101_4^7 + 1984253849853752300288982953/563478780066410788922287*c_0101_4^6 - 563350546050496329082407563/563478780066410788922287*c_0101_4^5 - 1248329439243293146012263412/563478780066410788922287*c_0101_4^4 - 227169896635346135478948086/563478780066410788922287*c_0101_4^3 + 119712322338352101645306003/563478780066410788922287*c_0101_4^2 + 108806083040926517428654729/563478780066410788922287*c_0101_4 + 21556691411069598460326239/563478780066410788922287, c_0011_0 - 1, c_0011_1 - 7454002058544139314713/51225343642400980811117*c_0101_4^17 - 12410404023674544297813/51225343642400980811117*c_0101_4^16 + 54993367540786817758383/51225343642400980811117*c_0101_4^15 + 16527738661751043722996/51225343642400980811117*c_0101_4^14 - 457724189779148578366966/51225343642400980811117*c_0101_4^13 - 521252789852347260393694/51225343642400980811117*c_0101_4^12 + 2416466238618804223009393/51225343642400980811117*c_0101_4^11 + 4690327053496964332211489/51225343642400980811117*c_0101_4^10 + 367215404288948007746636/51225343642400980811117*c_0101_4^9 - 5330546597927132032549091/51225343642400980811117*c_0101_4^8 + 69741633832347409230880/1652430440077450993907*c_0101_4^7 + 7751707359925251102968664/51225343642400980811117*c_0101_4^6 + 2285256787900257089689455/51225343642400980811117*c_0101_4^5 - 961477954411902325369373/51225343642400980811117*c_0101_4^4 - 1079592667430187080763453/51225343642400980811117*c_0101_4^3 - 328054763189583182354565/51225343642400980811117*c_0101_4^2 + 76620761533751619857569/51225343642400980811117*c_0101_4 + 1876239455368860348273/51225343642400980811117, c_0011_4 + 64212741925729298306505/51225343642400980811117*c_0101_4^17 + 112726915141753937766170/51225343642400980811117*c_0101_4^16 - 477071597812847658372691/51225343642400980811117*c_0101_4^15 - 204429898299243705536365/51225343642400980811117*c_0101_4^14 + 4031527149966914822459878/51225343642400980811117*c_0101_4^13 + 4857696310037348712158487/51225343642400980811117*c_0101_4^12 - 21224347643430530377615949/51225343642400980811117*c_0101_4^11 - 43034321858934362088293035/51225343642400980811117*c_0101_4^10 - 2368365780299637257509400/51225343642400980811117*c_0101_4^9 + 52987103513022874426350581/51225343642400980811117*c_0101_4^8 - 511037700324669548471826/1652430440077450993907*c_0101_4^7 - 78025418998531718826830775/51225343642400980811117*c_0101_4^6 - 19492991033349874731978888/51225343642400980811117*c_0101_4^5 + 20016738625104870237008075/51225343642400980811117*c_0101_4^4 + 10095786941223668573491860/51225343642400980811117*c_0101_4^3 + 1120186080446813395556801/51225343642400980811117*c_0101_4^2 - 742054297393689655959334/51225343642400980811117*c_0101_4 - 228499932436183726259202/51225343642400980811117, c_0101_0 + 60166243683368273666584/51225343642400980811117*c_0101_4^17 + 102779228347286166016937/51225343642400980811117*c_0101_4^16 - 452393993974973596326854/51225343642400980811117*c_0101_4^15 - 170811503961768672229175/51225343642400980811117*c_0101_4^14 + 3789344055635950938835867/51225343642400980811117*c_0101_4^13 + 4371266172422384036816712/51225343642400980811117*c_0101_4^12 - 20122808826490958956678317/51225343642400980811117*c_0101_4^11 - 39393967735321746401614755/51225343642400980811117*c_0101_4^10 - 198359926733898047060721/51225343642400980811117*c_0101_4^9 + 49887891292453294755085085/51225343642400980811117*c_0101_4^8 - 553647334286182525433901/1652430440077450993907*c_0101_4^7 - 72430160713496998588312994/51225343642400980811117*c_0101_4^6 - 14534331757166641896357191/51225343642400980811117*c_0101_4^5 + 19609763712227675573526909/51225343642400980811117*c_0101_4^4 + 8706614115283923877273490/51225343642400980811117*c_0101_4^3 + 899038434867691681890787/51225343642400980811117*c_0101_4^2 - 733509067999514471382723/51225343642400980811117*c_0101_4 - 243685428765012301203887/51225343642400980811117, c_0101_1 + 73188081079562577505822/51225343642400980811117*c_0101_4^17 + 125424581760102623136100/51225343642400980811117*c_0101_4^16 - 547878713052126972324311/51225343642400980811117*c_0101_4^15 - 208701445174762897272964/51225343642400980811117*c_0101_4^14 + 4594622069920398591157869/51225343642400980811117*c_0101_4^13 + 5345469511535558684358475/51225343642400980811117*c_0101_4^12 - 24343596349039438782048565/51225343642400980811117*c_0101_4^11 - 47982873947433883004168423/51225343642400980811117*c_0101_4^10 - 1096137683300798922244761/51225343642400980811117*c_0101_4^9 + 59884816371876099470221104/51225343642400980811117*c_0101_4^8 - 654189962362446986654533/1652430440077450993907*c_0101_4^7 - 87238097362749189189992903/51225343642400980811117*c_0101_4^6 - 19279372086466643110541187/51225343642400980811117*c_0101_4^5 + 22554550460375371897302876/51225343642400980811117*c_0101_4^4 + 10846150315724785513080980/51225343642400980811117*c_0101_4^3 + 1102690852670135637209012/51225343642400980811117*c_0101_4^2 - 874358379863551978712037/51225343642400980811117*c_0101_4 - 257448731493289339229249/51225343642400980811117, c_0101_4^18 + 2*c_0101_4^17 - 7*c_0101_4^16 - 5*c_0101_4^15 + 62*c_0101_4^14 + 91*c_0101_4^13 - 312*c_0101_4^12 - 751*c_0101_4^11 - 201*c_0101_4^10 + 816*c_0101_4^9 - 44*c_0101_4^8 - 1274*c_0101_4^7 - 601*c_0101_4^6 + 236*c_0101_4^5 + 235*c_0101_4^4 + 58*c_0101_4^3 - 7*c_0101_4^2 - 7*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB