Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 105355785] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s546 geometric_solution 4.96801071 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 2310 2310 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 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.270657249883 0.719346188533 0 0 4 3 0132 3201 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 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 0.458186396295 1.217756546165 0 0 4 3 3201 0132 2310 2310 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 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458186396295 1.217756546165 2 5 1 5 3201 0132 0132 1023 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 -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 0.723154921469 0.489643484548 4 2 4 1 2310 3201 3201 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 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 0.569390155939 0.811056137982 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 -1 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576538148678 0.132225911039 ==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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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_0110_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0110_3']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : 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_3, c_0101_0, c_0101_1, c_0110_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 40493869814503735646941184/10017469459819798677745*c_0110_5^16 + 191937019128045913260691456/10017469459819798677745*c_0110_5^15 - 25767878747462888524982272/10017469459819798677745*c_0110_5^14 - 48094655039362215615754752/10017469459819798677745*c_0110_5^13 - 9193956757746027112389888/2003493891963959735549*c_0110_5^12 - 332736308817280886104566912/10017469459819798677745*c_0110_5^11 + 449454878879632237632801024/10017469459819798677745*c_0110_5^10 - 62842675614036761017419520/2003493891963959735549*c_0110_5^9 + 426267330610551793182221824/10017469459819798677745*c_0110_5^8 - 377289732572822048385152848/10017469459819798677745*c_0110_5^7 + 69656898121435331635517528/10017469459819798677745*c_0110_5^6 + 33460667042907607885436676/10017469459819798677745*c_0110_5^5 - 17930751132941946678887073/10017469459819798677745*c_0110_5^4 + 40649246337270104014084586/10017469459819798677745*c_0110_5^3 - 1613838520554706491482281/2003493891963959735549*c_0110_5^2 - 5021005129889824749993327/10017469459819798677745*c_0110_5 + 1308161613917991825005331/10017469459819798677745, c_0011_0 - 1, c_0011_3 + 626683093139071957868544/182135808360359975959*c_0110_5^16 - 282125701236141676216320/182135808360359975959*c_0110_5^15 - 201304538144927310794752/182135808360359975959*c_0110_5^14 - 304135968307524616434688/182135808360359975959*c_0110_5^13 - 758229631560248560700928/182135808360359975959*c_0110_5^12 + 1547090919747279537320192/182135808360359975959*c_0110_5^11 - 1122514090415864653874432/182135808360359975959*c_0110_5^10 + 1402860099652011872714240/182135808360359975959*c_0110_5^9 - 1544589165086951660718336/182135808360359975959*c_0110_5^8 + 581407429203357311976928/182135808360359975959*c_0110_5^7 - 1472608478227228909584/182135808360359975959*c_0110_5^6 - 15802946170101819321656/182135808360359975959*c_0110_5^5 + 122829075904502607011518/182135808360359975959*c_0110_5^4 - 56321343209592342865706/182135808360359975959*c_0110_5^3 - 9405330311079965809888/182135808360359975959*c_0110_5^2 + 5572316555942829272036/182135808360359975959*c_0110_5 - 182637227016150300767/182135808360359975959, c_0101_0 + 54078067139123835551744/182135808360359975959*c_0110_5^16 - 32881950128232790102016/182135808360359975959*c_0110_5^15 - 6587760362179489976320/182135808360359975959*c_0110_5^14 - 25720832101474311921664/182135808360359975959*c_0110_5^13 - 61822711447379514030592/182135808360359975959*c_0110_5^12 + 139905604905503973453568/182135808360359975959*c_0110_5^11 - 127243797765960925081984/182135808360359975959*c_0110_5^10 + 151260071795102092114688/182135808360359975959*c_0110_5^9 - 165430387394257198067968/182135808360359975959*c_0110_5^8 + 89198848045362212662528/182135808360359975959*c_0110_5^7 - 26006499606800394857072/182135808360359975959*c_0110_5^6 + 6986671946796040560184/182135808360359975959*c_0110_5^5 + 7245024045290071099672/182135808360359975959*c_0110_5^4 - 5425683603356429354903/182135808360359975959*c_0110_5^3 + 1088847289544931974432/182135808360359975959*c_0110_5^2 + 377239729506497643030/182135808360359975959*c_0110_5 - 5462862326989979708/182135808360359975959, c_0101_1 - 442618292972775059107840/182135808360359975959*c_0110_5^16 + 251269915862995645763584/182135808360359975959*c_0110_5^15 + 128857493043146485225472/182135808360359975959*c_0110_5^14 + 195536449203432483247616/182135808360359975959*c_0110_5^13 + 508064116080391347383040/182135808360359975959*c_0110_5^12 - 1161323679669546245238400/182135808360359975959*c_0110_5^11 + 907283463749627755524864/182135808360359975959*c_0110_5^10 - 1062837784342136079488768/182135808360359975959*c_0110_5^9 + 1191371208941254432546304/182135808360359975959*c_0110_5^8 - 515925106162104972759312/182135808360359975959*c_0110_5^7 + 26999817683921553032696/182135808360359975959*c_0110_5^6 + 19150842852437248311508/182135808360359975959*c_0110_5^5 - 89841265081982309566813/182135808360359975959*c_0110_5^4 + 50298920824415708505562/182135808360359975959*c_0110_5^3 + 3932131818255102652189/182135808360359975959*c_0110_5^2 - 5045519054333800130424/182135808360359975959*c_0110_5 + 537890028935254510099/182135808360359975959, c_0110_3 - 774912767689821123747840/182135808360359975959*c_0110_5^16 + 368356560389501812301824/182135808360359975959*c_0110_5^15 + 242575805296295316799488/182135808360359975959*c_0110_5^14 + 370976931406592393819136/182135808360359975959*c_0110_5^13 + 927373644480424792939008/182135808360359975959*c_0110_5^12 - 1937732417360772514987264/182135808360359975959*c_0110_5^11 + 1432235623851937738742016/182135808360359975959*c_0110_5^10 - 1767021092443764804373376/182135808360359975959*c_0110_5^9 + 1952885361283163684743296/182135808360359975959*c_0110_5^8 - 764680246419796978537440/182135808360359975959*c_0110_5^7 + 18853219598095539247120/182135808360359975959*c_0110_5^6 + 17627191467359159353688/182135808360359975959*c_0110_5^5 - 151098700473578606395950/182135808360359975959*c_0110_5^4 + 72719550279543664717128/182135808360359975959*c_0110_5^3 + 10164692517671754316207/182135808360359975959*c_0110_5^2 - 6947219628606619765366/182135808360359975959*c_0110_5 + 279908676048973133675/182135808360359975959, c_0110_5^17 - 1/2*c_0110_5^15 - 5/8*c_0110_5^14 - 23/16*c_0110_5^13 + 61/32*c_0110_5^12 - 23/32*c_0110_5^11 + 47/32*c_0110_5^10 - 47/32*c_0110_5^9 - 37/256*c_0110_5^8 + 197/512*c_0110_5^7 - 33/1024*c_0110_5^6 + 771/4096*c_0110_5^5 - 1/4096*c_0110_5^4 - 103/2048*c_0110_5^3 + 13/4096*c_0110_5^2 + 13/4096*c_0110_5 - 1/4096 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB