Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 880126166] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0552 geometric_solution 4.57458231 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.408032598321 0.221015596199 0 2 2 0 0132 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.741517563122 0.494283408776 1 1 3 3 2310 0132 0132 3201 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243424408656 0.460321184103 4 2 5 2 0132 2310 0132 0132 0 0 0 0 0 0 1 -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 0 1 -1 0 0 0 0 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.589065493992 0.450276797010 3 5 5 6 0132 0213 2310 0132 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 -1 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341278394148 0.636793174105 6 4 4 3 0132 3201 0213 0132 0 0 0 0 0 0 1 -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 0 1 -1 -1 0 1 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 0.341278394148 0.636793174105 5 6 4 6 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.225477361923 2.025930903178 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 1186457802834941783845/7991799102262621034213*c_0101_3^14 + 20547891304674375403639/7991799102262621034213*c_0101_3^13 + 145649486101155873947629/7991799102262621034213*c_0101_3^12 + 540303477223747320661587/7991799102262621034213*c_0101_3^11 + 1083049464065537699782558/7991799102262621034213*c_0101_3^10 + 992488539621985865601293/7991799102262621034213*c_0101_3^9 - 45818188015452592633084/7991799102262621034213*c_0101_3^8 - 1031646685074386103949252/7991799102262621034213*c_0101_3^7 - 1614566596462212936122696/7991799102262621034213*c_0101_3^6 - 948541074238273974414812/7991799102262621034213*c_0101_3^5 - 171763798630911308451380/7991799102262621034213*c_0101_3^4 + 388696827784771287786825/7991799102262621034213*c_0101_3^3 + 266652199906183934625477/7991799102262621034213*c_0101_3^2 + 21707353985794413867980/726527191114783730383*c_0101_3 + 261603993760903726298335/7991799102262621034213, c_0011_0 - 1, c_0011_3 - 1913299873141352147/305906185732540518056*c_0101_3^14 - 32836267650886502823/305906185732540518056*c_0101_3^13 - 228596022477327267727/305906185732540518056*c_0101_3^12 - 817020197170965932907/305906185732540518056*c_0101_3^11 - 1499424999955622893555/305906185732540518056*c_0101_3^10 - 492448034956140439611/152953092866270259028*c_0101_3^9 + 804795187449689492161/305906185732540518056*c_0101_3^8 + 1733859770180116460579/305906185732540518056*c_0101_3^7 + 1979337696223119067243/305906185732540518056*c_0101_3^6 + 207056096193158877497/76476546433135129514*c_0101_3^5 - 637014769778588817315/305906185732540518056*c_0101_3^4 - 498458425462966385913/305906185732540518056*c_0101_3^3 - 149237955755608412835/305906185732540518056*c_0101_3^2 - 193380316469260288733/305906185732540518056*c_0101_3 - 243889905505878158013/305906185732540518056, c_0011_5 - 12054240699022532467/3364968043057945698616*c_0101_3^14 - 192849408449102664631/3364968043057945698616*c_0101_3^13 - 1237085554337020795167/3364968043057945698616*c_0101_3^12 - 4090120471839825873371/3364968043057945698616*c_0101_3^11 - 7519689776757500849827/3364968043057945698616*c_0101_3^10 - 4280226012635016419023/1682484021528972849308*c_0101_3^9 - 8991868696418284229615/3364968043057945698616*c_0101_3^8 - 4138487637539121455981/3364968043057945698616*c_0101_3^7 + 11913436920122641457659/3364968043057945698616*c_0101_3^6 + 1442933101447481939311/841242010764486424654*c_0101_3^5 + 14450151670951814763069/3364968043057945698616*c_0101_3^4 + 1301640873171939792991/3364968043057945698616*c_0101_3^3 - 3352415263761687868307/3364968043057945698616*c_0101_3^2 + 51977211902411086753/305906185732540518056*c_0101_3 - 1708192927496384323293/3364968043057945698616, c_0101_0 - 22258275741251229429/3364968043057945698616*c_0101_3^14 - 301156338035173827737/3364968043057945698616*c_0101_3^13 - 1325258578543239933777/3364968043057945698616*c_0101_3^12 - 711616736394227117941/3364968043057945698616*c_0101_3^11 + 11524821733016447889843/3364968043057945698616*c_0101_3^10 + 17264195479811725590547/1682484021528972849308*c_0101_3^9 + 27003075096776901977695/3364968043057945698616*c_0101_3^8 - 13135407087886621134075/3364968043057945698616*c_0101_3^7 - 17762461379578658934475/3364968043057945698616*c_0101_3^6 - 11701429250334984617085/841242010764486424654*c_0101_3^5 - 8150490102668528918621/3364968043057945698616*c_0101_3^4 + 16652407815443330674881/3364968043057945698616*c_0101_3^3 - 2528984847769023995557/3364968043057945698616*c_0101_3^2 + 349977198850839823743/305906185732540518056*c_0101_3 + 2574997132635869408789/3364968043057945698616, c_0101_1 + 4993561421973302713/3364968043057945698616*c_0101_3^14 + 62895809140232287565/3364968043057945698616*c_0101_3^13 + 208169476551981390573/3364968043057945698616*c_0101_3^12 - 538315840671569322687/3364968043057945698616*c_0101_3^11 - 5409811918687689326767/3364968043057945698616*c_0101_3^10 - 6796328695532373703771/1682484021528972849308*c_0101_3^9 - 9902656516490621917771/3364968043057945698616*c_0101_3^8 + 9563400154868659108239/3364968043057945698616*c_0101_3^7 + 16237906755182681171783/3364968043057945698616*c_0101_3^6 + 4440284033688125410751/841242010764486424654*c_0101_3^5 + 6927411731548736795809/3364968043057945698616*c_0101_3^4 - 10294281679025480836085/3364968043057945698616*c_0101_3^3 - 6685772173014340925711/3364968043057945698616*c_0101_3^2 + 71660753251441897429/305906185732540518056*c_0101_3 - 3599992983819501871057/3364968043057945698616, c_0101_2 - 121189970997770946285/3364968043057945698616*c_0101_3^14 - 1941601039507107677753/3364968043057945698616*c_0101_3^13 - 12227691029808342013817/3364968043057945698616*c_0101_3^12 - 37229417057596319676581/3364968043057945698616*c_0101_3^11 - 49063333623890312800717/3364968043057945698616*c_0101_3^10 + 1546702772863156170579/1682484021528972849308*c_0101_3^9 + 56119061296522572197951/3364968043057945698616*c_0101_3^8 + 33274890489790614197645/3364968043057945698616*c_0101_3^7 + 59732687532953752222909/3364968043057945698616*c_0101_3^6 - 7758745300219981694597/841242010764486424654*c_0101_3^5 - 26481960382655990955021/3364968043057945698616*c_0101_3^4 + 14851200087628918003905/3364968043057945698616*c_0101_3^3 - 16456358534370278690453/3364968043057945698616*c_0101_3^2 - 151601535132816066385/305906185732540518056*c_0101_3 + 3344546438134026861757/3364968043057945698616, c_0101_3^15 + 16*c_0101_3^14 + 100*c_0101_3^13 + 296*c_0101_3^12 + 340*c_0101_3^11 - 219*c_0101_3^10 - 733*c_0101_3^9 - 322*c_0101_3^8 - 260*c_0101_3^7 + 457*c_0101_3^6 + 525*c_0101_3^5 - 194*c_0101_3^4 + 42*c_0101_3^3 + 58*c_0101_3^2 - 84*c_0101_3 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB