Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 4206585562] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s270 geometric_solution 4.43839558 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 1 0132 0132 3201 1023 0 0 0 0 0 0 -1 1 -1 0 0 1 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 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 1.495542196590 0.472112465127 0 3 4 0 0132 0132 0132 1023 0 0 0 0 0 0 1 -1 1 0 0 -1 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 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.106250438542 0.597529963990 0 0 2 2 2310 0132 1230 3012 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.643569290214 0.149130633355 4 1 5 4 2310 0132 0132 2031 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 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 0.142430468252 0.805344937421 5 3 3 1 2310 1302 3201 0132 0 0 0 0 0 1 0 -1 1 0 -1 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 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 0.142430468252 0.805344937421 5 5 4 3 1230 3012 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791555670855 0.858974511432 ==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' : 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_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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_5'], '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' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : 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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 513714466476314045/22402748685838424*c_0101_2^16 + 132417903778858383/11201374342919212*c_0101_2^15 + 7829397521316186249/22402748685838424*c_0101_2^14 - 4372791057475344119/11201374342919212*c_0101_2^13 - 15580488586429716681/11201374342919212*c_0101_2^12 + 19918597053058148379/11201374342919212*c_0101_2^11 + 21217694613578474163/11201374342919212*c_0101_2^10 - 45666578410448961767/22402748685838424*c_0101_2^9 - 15909492140051260585/11201374342919212*c_0101_2^8 + 4987875969011516299/11201374342919212*c_0101_2^7 + 7736893452793642523/11201374342919212*c_0101_2^6 + 8634076870251199125/22402748685838424*c_0101_2^5 - 2239140894700399687/11201374342919212*c_0101_2^4 - 621371026760970811/5600687171459606*c_0101_2^3 + 871682189489994853/22402748685838424*c_0101_2^2 - 477665622066136429/22402748685838424*c_0101_2 - 68643313439428071/22402748685838424, c_0011_0 - 1, c_0011_4 - 9585529735031390/2800343585729803*c_0101_2^16 + 3526493522674522/2800343585729803*c_0101_2^15 + 147512963699070473/2800343585729803*c_0101_2^14 - 141591119466901464/2800343585729803*c_0101_2^13 - 616218616161558568/2800343585729803*c_0101_2^12 + 663295190161792783/2800343585729803*c_0101_2^11 + 949105060160331534/2800343585729803*c_0101_2^10 - 763315694368311779/2800343585729803*c_0101_2^9 - 803948033798944941/2800343585729803*c_0101_2^8 + 122229104471357999/2800343585729803*c_0101_2^7 + 391611430082739988/2800343585729803*c_0101_2^6 + 210112501097487900/2800343585729803*c_0101_2^5 - 80581336807806721/2800343585729803*c_0101_2^4 - 71764921419730870/2800343585729803*c_0101_2^3 + 12539396264560558/2800343585729803*c_0101_2^2 - 6467964341269379/2800343585729803*c_0101_2 - 7510859262364861/2800343585729803, c_0011_5 + 28359498618410130/2800343585729803*c_0101_2^16 - 3432498363242564/2800343585729803*c_0101_2^15 - 438322208190181974/2800343585729803*c_0101_2^14 + 315902444499803604/2800343585729803*c_0101_2^13 + 1914790175976010738/2800343585729803*c_0101_2^12 - 1575992465956977332/2800343585729803*c_0101_2^11 - 3183780967519529072/2800343585729803*c_0101_2^10 + 1799442847676452448/2800343585729803*c_0101_2^9 + 2589344667087802973/2800343585729803*c_0101_2^8 - 62626827515354950/2800343585729803*c_0101_2^7 - 977342449798818021/2800343585729803*c_0101_2^6 - 719597287748318682/2800343585729803*c_0101_2^5 + 99154080140949619/2800343585729803*c_0101_2^4 + 216732600732853374/2800343585729803*c_0101_2^3 - 15845186082952263/2800343585729803*c_0101_2^2 + 16826818130476243/2800343585729803*c_0101_2 + 15826660226663441/2800343585729803, c_0101_0 - 2420790519220210/2800343585729803*c_0101_2^16 + 1635691585008593/2800343585729803*c_0101_2^15 + 36451179692666579/2800343585729803*c_0101_2^14 - 47398168253052519/2800343585729803*c_0101_2^13 - 136752139407598130/2800343585729803*c_0101_2^12 + 212664198608032052/2800343585729803*c_0101_2^11 + 154601462315270189/2800343585729803*c_0101_2^10 - 248675492720018366/2800343585729803*c_0101_2^9 - 94184774608131184/2800343585729803*c_0101_2^8 + 71090560320186741/2800343585729803*c_0101_2^7 + 68759821689112971/2800343585729803*c_0101_2^6 + 28671629498081182/2800343585729803*c_0101_2^5 - 38846784608471766/2800343585729803*c_0101_2^4 - 9292532232879157/2800343585729803*c_0101_2^3 + 2488643055667461/2800343585729803*c_0101_2^2 - 2662609744633886/2800343585729803*c_0101_2 + 2373905072185487/2800343585729803, c_0101_1 + 1066096283860790/2800343585729803*c_0101_2^16 + 1567913492131578/2800343585729803*c_0101_2^15 - 18053574356464759/2800343585729803*c_0101_2^14 - 13423499961273515/2800343585729803*c_0101_2^13 + 111790383798244235/2800343585729803*c_0101_2^12 + 28863195480886182/2800343585729803*c_0101_2^11 - 294966831722085040/2800343585729803*c_0101_2^10 - 5561201831531747/2800343585729803*c_0101_2^9 + 306671130562045342/2800343585729803*c_0101_2^8 + 23822419873319044/2800343585729803*c_0101_2^7 - 110749342079808129/2800343585729803*c_0101_2^6 - 70678795000062393/2800343585729803*c_0101_2^5 - 5643949766688118/2800343585729803*c_0101_2^4 + 45669800825180822/2800343585729803*c_0101_2^3 + 3109173786486575/2800343585729803*c_0101_2^2 - 4649328871080790/2800343585729803*c_0101_2 + 2875829001406044/2800343585729803, c_0101_2^17 - 4/5*c_0101_2^16 - 77/5*c_0101_2^15 + 108/5*c_0101_2^14 + 302/5*c_0101_2^13 - 506/5*c_0101_2^12 - 386/5*c_0101_2^11 + 699/5*c_0101_2^10 + 272/5*c_0101_2^9 - 66*c_0101_2^8 - 186/5*c_0101_2^7 - 9/5*c_0101_2^6 + 108/5*c_0101_2^5 + 32/5*c_0101_2^4 - 29/5*c_0101_2^3 + 3/5*c_0101_2^2 + 1/5*c_0101_2 - 2/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB