Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 2884253543] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0369 geometric_solution 4.42469600 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.528342246348 0.042809016996 0 0 2 2 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.512570336238 0.572974796695 3 1 1 3 0132 3201 0132 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 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 -0.548063592590 0.432352353041 2 2 5 4 0132 2310 0132 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 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 0.222760819760 0.531831147860 5 6 3 5 1230 0132 0132 1302 0 0 0 0 0 0 0 0 -1 0 0 1 -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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848960863229 0.803280524266 6 4 4 3 2310 3012 2031 0132 0 0 0 0 0 1 -1 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 -1 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 0.848960863229 0.803280524266 6 4 5 6 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 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 -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 0.747545292015 1.098133076660 ==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_2_6' : 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_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 61622885801419/1455517960455*c_0101_5^15 - 1336714678731829/4366553881365*c_0101_5^14 + 283182930931591/873310776273*c_0101_5^13 + 468509174962693/189850168755*c_0101_5^12 - 30034117243650448/4366553881365*c_0101_5^11 - 1306143674198612/4366553881365*c_0101_5^10 + 91994278400513423/4366553881365*c_0101_5^9 - 34925042307195983/1455517960455*c_0101_5^8 + 3099152376217567/4366553881365*c_0101_5^7 + 39353289019736344/4366553881365*c_0101_5^6 - 7652376285134482/4366553881365*c_0101_5^5 - 24383175897088754/4366553881365*c_0101_5^4 + 152940772577384/4366553881365*c_0101_5^3 + 13311183473693051/4366553881365*c_0101_5^2 - 15739866059011/37320973345*c_0101_5 - 187205282478961/873310776273, c_0011_0 - 1, c_0011_2 + 173037898/768624165*c_0101_5^15 - 226288996/153724833*c_0101_5^14 + 507103318/768624165*c_0101_5^13 + 10682539936/768624165*c_0101_5^12 - 4188484019/153724833*c_0101_5^11 - 17733378557/768624165*c_0101_5^10 + 26352095137/256208055*c_0101_5^9 - 42605881762/768624165*c_0101_5^8 - 42756397879/768624165*c_0101_5^7 + 24387192352/768624165*c_0101_5^6 + 9446690264/768624165*c_0101_5^5 - 21246860972/768624165*c_0101_5^4 - 15469447496/768624165*c_0101_5^3 + 2393015327/256208055*c_0101_5^2 + 778123231/153724833*c_0101_5 - 102382157/256208055, c_0011_4 + 70614610216/569550506265*c_0101_5^15 - 30332731558/37970033751*c_0101_5^14 + 19958177639/63283389585*c_0101_5^13 + 1423809355919/189850168755*c_0101_5^12 - 1612124988997/113910101253*c_0101_5^11 - 7150268814304/569550506265*c_0101_5^10 + 29476828932152/569550506265*c_0101_5^9 - 14855872776154/569550506265*c_0101_5^8 - 4168562511196/189850168755*c_0101_5^7 + 1620991158164/569550506265*c_0101_5^6 + 5161630636663/569550506265*c_0101_5^5 - 6951745948114/569550506265*c_0101_5^4 - 2054954277314/189850168755*c_0101_5^3 + 921155776367/569550506265*c_0101_5^2 + 24762184210/8762315481*c_0101_5 + 426155807743/569550506265, c_0101_0 + 123215603987/569550506265*c_0101_5^15 - 62648290325/37970033751*c_0101_5^14 + 141606926023/63283389585*c_0101_5^13 + 2321609985493/189850168755*c_0101_5^12 - 4598009109014/113910101253*c_0101_5^11 + 5685525582592/569550506265*c_0101_5^10 + 64884696788209/569550506265*c_0101_5^9 - 92738909298368/569550506265*c_0101_5^8 + 6342320166973/189850168755*c_0101_5^7 + 33788759288248/569550506265*c_0101_5^6 - 13011978519259/569550506265*c_0101_5^5 - 16135659157103/569550506265*c_0101_5^4 + 1947160122392/189850168755*c_0101_5^3 + 11825523612004/569550506265*c_0101_5^2 - 53568627067/8762315481*c_0101_5 - 1206217433464/569550506265, c_0101_1 - 362910410326/569550506265*c_0101_5^15 + 176196238096/37970033751*c_0101_5^14 - 322522570199/63283389585*c_0101_5^13 - 7030609260854/189850168755*c_0101_5^12 + 12017202923104/113910101253*c_0101_5^11 + 264421280239/569550506265*c_0101_5^10 - 182143940239307/569550506265*c_0101_5^9 + 213870443745214/569550506265*c_0101_5^8 - 3899196582464/189850168755*c_0101_5^7 - 79812950528849/569550506265*c_0101_5^6 + 17416155614732/569550506265*c_0101_5^5 + 47256453052969/569550506265*c_0101_5^4 - 509778199591/189850168755*c_0101_5^3 - 27645884866757/569550506265*c_0101_5^2 + 56762114144/8762315481*c_0101_5 + 1983052825622/569550506265, c_0101_3 - 162479679373/569550506265*c_0101_5^15 + 77870033752/37970033751*c_0101_5^14 - 133348279427/63283389585*c_0101_5^13 - 3165359091692/189850168755*c_0101_5^12 + 5197791382486/113910101253*c_0101_5^11 + 2056974048187/569550506265*c_0101_5^10 - 80337002758841/569550506265*c_0101_5^9 + 88550857507357/569550506265*c_0101_5^8 + 10655440828/189850168755*c_0101_5^7 - 32396134701407/569550506265*c_0101_5^6 + 3289651694396/569550506265*c_0101_5^5 + 21706061013067/569550506265*c_0101_5^4 + 411643346492/189850168755*c_0101_5^3 - 11599106871476/569550506265*c_0101_5^2 + 8481305624/8762315481*c_0101_5 + 653619788171/569550506265, c_0101_5^16 - 7*c_0101_5^15 + 6*c_0101_5^14 + 60*c_0101_5^13 - 149*c_0101_5^12 - 44*c_0101_5^11 + 495*c_0101_5^10 - 453*c_0101_5^9 - 110*c_0101_5^8 + 215*c_0101_5^7 + 5*c_0101_5^6 - 140*c_0101_5^5 - 29*c_0101_5^4 + 71*c_0101_5^3 + 6*c_0101_5^2 - 7*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB