Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 2345277174] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2988 geometric_solution 6.16702916 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 1 -2 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 1.257107516056 0.954143115930 0 2 2 5 0132 2310 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718021180495 0.695960096636 3 0 1 1 1302 0132 0321 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904202113655 0.626377800837 4 2 6 0 0213 2031 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 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 -0.310930913009 0.537556599372 3 5 0 5 0213 0321 0132 2310 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 -1 2 -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 0 0.508037676226 0.652504449675 4 6 1 4 3201 3201 0132 0321 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 -1 0 1 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 0.539025206470 1.650162463476 6 6 5 3 1302 2031 2310 0132 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.138665441106 0.697093998620 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], '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' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 30641881237228312773/1301351824111480108*c_1001_2^16 + 31829265339080626141/1301351824111480108*c_1001_2^15 + 211111913394237178231/1301351824111480108*c_1001_2^14 - 530691748780455673965/2602703648222960216*c_1001_2^13 - 2204548959548719122199/5205407296445920432*c_1001_2^12 + 1862472587952396390961/2602703648222960216*c_1001_2^11 + 125192467332787689925/236609422565723656*c_1001_2^10 - 3425521939360145742207/2602703648222960216*c_1001_2^9 - 382883051380472692339/1301351824111480108*c_1001_2^8 + 1274312029457390334261/1301351824111480108*c_1001_2^7 + 1158249628488205782467/2602703648222960216*c_1001_2^6 + 755713968332066164615/5205407296445920432*c_1001_2^5 - 6576407992448812957891/5205407296445920432*c_1001_2^4 + 14197922435177674833/473218845131447312*c_1001_2^3 + 6239711320388593691483/5205407296445920432*c_1001_2^2 - 1441991678932043898541/2602703648222960216*c_1001_2 - 152394427133342003314/325337956027870027, c_0011_0 - 1, c_0011_3 - 156881273926237/59152355641430914*c_1001_2^16 - 426958600566493/59152355641430914*c_1001_2^15 + 2720968974883425/59152355641430914*c_1001_2^14 + 9085502766278791/118304711282861828*c_1001_2^13 - 57159023999592003/236609422565723656*c_1001_2^12 - 10866338209270997/59152355641430914*c_1001_2^11 + 78300071900213161/118304711282861828*c_1001_2^10 - 612364031710809/118304711282861828*c_1001_2^9 - 31579618838304704/29576177820715457*c_1001_2^8 + 12004968628499287/59152355641430914*c_1001_2^7 + 73400486502582143/118304711282861828*c_1001_2^6 + 62860551840126267/236609422565723656*c_1001_2^5 + 136446554522443763/236609422565723656*c_1001_2^4 - 253647456048629635/236609422565723656*c_1001_2^3 + 88231517843128001/236609422565723656*c_1001_2^2 + 34106254493340857/59152355641430914*c_1001_2 - 57900261378536743/59152355641430914, c_0011_4 - 936562223480345/29576177820715457*c_1001_2^16 + 2219119708426556/29576177820715457*c_1001_2^15 + 3877575857926672/29576177820715457*c_1001_2^14 - 28126310552222971/59152355641430914*c_1001_2^13 - 3212678684529117/118304711282861828*c_1001_2^12 + 142790961849548131/118304711282861828*c_1001_2^11 - 18080988061620656/29576177820715457*c_1001_2^10 - 44702634057256093/29576177820715457*c_1001_2^9 + 72688095618303139/59152355641430914*c_1001_2^8 + 14356915810925001/29576177820715457*c_1001_2^7 + 21392768086152161/59152355641430914*c_1001_2^6 - 77724822096066235/118304711282861828*c_1001_2^5 - 63963510128531849/29576177820715457*c_1001_2^4 + 56719546444893232/29576177820715457*c_1001_2^3 + 23125165145432189/59152355641430914*c_1001_2^2 - 127691236054900675/118304711282861828*c_1001_2 + 7366030650185161/59152355641430914, c_0011_5 - 356971692627531/29576177820715457*c_1001_2^16 + 1861837628989685/29576177820715457*c_1001_2^15 + 1227107795647063/29576177820715457*c_1001_2^14 - 21401737220523527/59152355641430914*c_1001_2^13 + 17200814445972059/118304711282861828*c_1001_2^12 + 23905200074461797/29576177820715457*c_1001_2^11 - 50060138983044029/59152355641430914*c_1001_2^10 - 50621893420957713/59152355641430914*c_1001_2^9 + 39412742993974452/29576177820715457*c_1001_2^8 - 5545541200895752/29576177820715457*c_1001_2^7 - 8197426218557299/59152355641430914*c_1001_2^6 - 17582973818775983/118304711282861828*c_1001_2^5 - 105639900647990191/118304711282861828*c_1001_2^4 + 217170911832313127/118304711282861828*c_1001_2^3 - 102922730660191429/118304711282861828*c_1001_2^2 - 16389275055598704/29576177820715457*c_1001_2 + 26858798358112212/29576177820715457, c_0011_6 - 1252094262894171/118304711282861828*c_1001_2^16 + 1565856810746645/118304711282861828*c_1001_2^15 + 9618577041392183/118304711282861828*c_1001_2^14 - 32169478368734607/236609422565723656*c_1001_2^13 - 130249080782177989/473218845131447312*c_1001_2^12 + 66768387018068217/118304711282861828*c_1001_2^11 + 104817971718898367/236609422565723656*c_1001_2^10 - 300590984033255987/236609422565723656*c_1001_2^9 - 4542262477925439/29576177820715457*c_1001_2^8 + 182662717183456511/118304711282861828*c_1001_2^7 + 811801738875521/236609422565723656*c_1001_2^6 - 269812155015339323/473218845131447312*c_1001_2^5 - 394921370202499299/473218845131447312*c_1001_2^4 - 279153580359358381/473218845131447312*c_1001_2^3 + 781503555671082719/473218845131447312*c_1001_2^2 - 73539974099577019/118304711282861828*c_1001_2 - 97010677033247647/118304711282861828, c_0101_0 - 4182664662312319/118304711282861828*c_1001_2^16 + 2441015343949721/118304711282861828*c_1001_2^15 + 35872085951011987/118304711282861828*c_1001_2^14 - 50404560994599219/236609422565723656*c_1001_2^13 - 448571736372496977/473218845131447312*c_1001_2^12 + 116192574646701787/118304711282861828*c_1001_2^11 + 352726816211914019/236609422565723656*c_1001_2^10 - 524646848297666479/236609422565723656*c_1001_2^9 - 41149030202077755/29576177820715457*c_1001_2^8 + 219552406426733347/118304711282861828*c_1001_2^7 + 166779466737011573/236609422565723656*c_1001_2^6 + 307493164845804241/473218845131447312*c_1001_2^5 - 843883693991999983/473218845131447312*c_1001_2^4 - 170579816858634833/473218845131447312*c_1001_2^3 + 1277392296278391099/473218845131447312*c_1001_2^2 - 157099591302966925/118304711282861828*c_1001_2 - 93545878468896439/118304711282861828, c_1001_2^17 - c_1001_2^16 - 7*c_1001_2^15 + 17/2*c_1001_2^14 + 75/4*c_1001_2^13 - 61/2*c_1001_2^12 - 49/2*c_1001_2^11 + 115/2*c_1001_2^10 + 15*c_1001_2^9 - 45*c_1001_2^8 - 39/2*c_1001_2^7 - 19/4*c_1001_2^6 + 215/4*c_1001_2^5 + 5/4*c_1001_2^4 - 219/4*c_1001_2^3 + 47/2*c_1001_2^2 + 23*c_1001_2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB