Magma V2.19-8 Tue Aug 20 2013 16:17:33 on localhost [Seed = 458917831] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1783 geometric_solution 5.46085470 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 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 1.635085125259 0.287533382533 0 2 2 0 3201 0132 1023 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 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 0 0 0 1.141964887664 0.613923537743 3 1 1 4 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 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 0.394925631992 0.307131937161 2 5 6 4 0132 0132 0132 0321 0 0 0 0 0 0 -1 1 -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 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 0.982681773789 0.925156572375 6 3 2 5 0132 0321 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.982681773789 0.925156572375 5 3 5 4 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538021343647 0.489280511573 4 6 6 3 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 0 0 1 -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 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 0.832772845511 0.642642122798 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : negation(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_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_3, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 847898212131452204/8519288298309691*c_0110_5^21 + 8092681499674932592/8519288298309691*c_0110_5^19 - 2349004315512472061/8519288298309691*c_0110_5^17 - 279962173918457091969/8519288298309691*c_0110_5^15 + 180762157473420330251/8519288298309691*c_0110_5^13 - 574069872674128062342/8519288298309691*c_0110_5^11 + 188566940872056263673/8519288298309691*c_0110_5^9 + 83131233531723361004/8519288298309691*c_0110_5^7 + 72458884077094689154/8519288298309691*c_0110_5^5 - 30891371596461343739/8519288298309691*c_0110_5^3 + 2930313925446964410/8519288298309691*c_0110_5, c_0011_0 - 1, c_0011_1 + 335340766675536/1217041185472813*c_0110_5^20 + 3140234076662670/1217041185472813*c_0110_5^18 - 1517413851507712/1217041185472813*c_0110_5^16 - 110668187204130507/1217041185472813*c_0110_5^14 + 91493070368597966/1217041185472813*c_0110_5^12 - 235961982320756748/1217041185472813*c_0110_5^10 + 111966263896770471/1217041185472813*c_0110_5^8 + 27849927614714691/1217041185472813*c_0110_5^6 + 18600793104837740/1217041185472813*c_0110_5^4 - 19135293431309356/1217041185472813*c_0110_5^2 + 2375038820087239/1217041185472813, c_0011_4 + 670352935673983/1217041185472813*c_0110_5^21 + 6215371954449898/1217041185472813*c_0110_5^19 - 3652406507958560/1217041185472813*c_0110_5^17 - 221326522306086527/1217041185472813*c_0110_5^15 + 203335219133317781/1217041185472813*c_0110_5^13 - 475968564822179782/1217041185472813*c_0110_5^11 + 263836535616325656/1217041185472813*c_0110_5^9 + 59311242153838032/1217041185472813*c_0110_5^7 + 31166871908345281/1217041185472813*c_0110_5^5 - 45330558544229139/1217041185472813*c_0110_5^3 + 3641188808239997/1217041185472813*c_0110_5, c_0101_0 - 1406575534985884/1217041185472813*c_0110_5^21 - 12923085392439767/1217041185472813*c_0110_5^19 + 8773530322873493/1217041185472813*c_0110_5^17 + 463879052348828577/1217041185472813*c_0110_5^15 - 465703182832985919/1217041185472813*c_0110_5^13 + 1030579032441012246/1217041185472813*c_0110_5^11 - 637441894737012623/1217041185472813*c_0110_5^9 - 84408710534861876/1217041185472813*c_0110_5^7 - 57364142158449155/1217041185472813*c_0110_5^5 + 102396932150482973/1217041185472813*c_0110_5^3 - 13295539323813447/1217041185472813*c_0110_5, c_0101_3 + 269917262956231/1217041185472813*c_0110_5^20 + 2432275466917506/1217041185472813*c_0110_5^18 - 2156761556096314/1217041185472813*c_0110_5^16 - 89064368087380040/1217041185472813*c_0110_5^14 + 105124803284231008/1217041185472813*c_0110_5^12 - 201781502016836648/1217041185472813*c_0110_5^10 + 151144453743181728/1217041185472813*c_0110_5^8 + 18334782708348574/1217041185472813*c_0110_5^6 + 3081613459299465/1217041185472813*c_0110_5^4 - 23889206020879149/1217041185472813*c_0110_5^2 + 2680843444340064/1217041185472813, c_0101_6 + 44454257671010/1217041185472813*c_0110_5^20 + 439504412428827/1217041185472813*c_0110_5^18 + 20826955345569/1217041185472813*c_0110_5^16 - 14734325560555271/1217041185472813*c_0110_5^14 + 4432432883946593/1217041185472813*c_0110_5^12 - 26462096113460918/1217041185472813*c_0110_5^10 + 92547567011219/1217041185472813*c_0110_5^8 + 8903029280531753/1217041185472813*c_0110_5^6 + 5852590015142930/1217041185472813*c_0110_5^4 + 1557888804365/1217041185472813*c_0110_5^2 - 1044198791335322/1217041185472813, c_0110_5^22 + 9*c_0110_5^20 - 8*c_0110_5^18 - 329*c_0110_5^16 + 393*c_0110_5^14 - 782*c_0110_5^12 + 585*c_0110_5^10 - c_0110_5^8 + 27*c_0110_5^6 - 87*c_0110_5^4 + 20*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB