Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 3120047483] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0514 geometric_solution 4.52014169 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0.194324095748 0.462731873704 2 2 3 0 1023 3012 0132 0132 0 0 0 0 0 1 0 -1 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 -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 0.414416747376 1.173497761834 1 1 0 3 1230 1023 0132 2310 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414416747376 1.173497761834 2 4 4 1 3201 0132 3201 0132 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 -1 0 1 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 0.334940723690 0.554040766472 3 3 5 5 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 1 -1 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 2.544792828961 1.715862505467 6 4 4 6 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 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.311224914520 0.109819471032 5 5 6 6 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 -1 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.980438043380 0.254551359230 ==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' : d['c_0011_1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0101_0']), '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' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0011_1']), 'c_1010_2' : d['c_0101_0'], '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_3, c_0011_5, c_0101_0, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1791282839831105975/743179703377228733*c_0101_6^15 - 7807483432269273465/743179703377228733*c_0101_6^14 + 1335373211658835253/106168529053889819*c_0101_6^13 + 68721961816402905036/743179703377228733*c_0101_6^12 + 96369721150055289481/743179703377228733*c_0101_6^11 + 197849644510979097460/743179703377228733*c_0101_6^10 - 175836455953433675942/743179703377228733*c_0101_6^9 - 1642653990588807515967/743179703377228733*c_0101_6^8 - 974787248053383882554/743179703377228733*c_0101_6^7 + 778545231171346988165/743179703377228733*c_0101_6^6 - 112468161238157206455/743179703377228733*c_0101_6^5 - 637026745360315132320/743179703377228733*c_0101_6^4 - 164017699266232900339/743179703377228733*c_0101_6^3 + 136212640742575150707/743179703377228733*c_0101_6^2 + 146811098790553334924/743179703377228733*c_0101_6 - 57404353030000178826/743179703377228733, c_0011_0 - 1, c_0011_1 - 270732567471105/9651684459444529*c_0101_6^15 - 18261622952567/9651684459444529*c_0101_6^14 + 3634560612797379/9651684459444529*c_0101_6^13 + 1129581390215325/9651684459444529*c_0101_6^12 - 3865682640511593/9651684459444529*c_0101_6^11 - 6345639401035252/9651684459444529*c_0101_6^10 - 95015625013274337/9651684459444529*c_0101_6^9 - 28679836332581064/9651684459444529*c_0101_6^8 + 270036570678289082/9651684459444529*c_0101_6^7 + 184323217678481142/9651684459444529*c_0101_6^6 - 47243201720977473/9651684459444529*c_0101_6^5 + 8555161223539803/9651684459444529*c_0101_6^4 + 91453844169817976/9651684459444529*c_0101_6^3 + 67693540569071216/9651684459444529*c_0101_6^2 - 3723169485321349/9651684459444529*c_0101_6 - 10269258537595061/9651684459444529, c_0011_3 + 1857590047456165/9651684459444529*c_0101_6^15 + 3364816670786038/9651684459444529*c_0101_6^14 - 14146888915466489/9651684459444529*c_0101_6^13 - 26889566814096304/9651684459444529*c_0101_6^12 - 63721908053180015/9651684459444529*c_0101_6^11 - 112083786231224182/9651684459444529*c_0101_6^10 + 335608367084935769/9651684459444529*c_0101_6^9 + 592650965885262178/9651684459444529*c_0101_6^8 + 256994066461971181/9651684459444529*c_0101_6^7 + 114365507413218791/9651684459444529*c_0101_6^6 + 137999948408062427/9651684459444529*c_0101_6^5 + 212210141542512595/9651684459444529*c_0101_6^4 + 109486655399882266/9651684459444529*c_0101_6^3 - 2841066399751673/9651684459444529*c_0101_6^2 - 6902941904960837/9651684459444529*c_0101_6 - 8795334168693035/9651684459444529, c_0011_5 + 626833852045949/9651684459444529*c_0101_6^15 - 121291822941713/9651684459444529*c_0101_6^14 - 7319106234111069/9651684459444529*c_0101_6^13 + 402520750462172/9651684459444529*c_0101_6^12 - 574845111748278/9651684459444529*c_0101_6^11 + 5933128018530170/9651684459444529*c_0101_6^10 + 192677327359719886/9651684459444529*c_0101_6^9 - 22082719443168857/9651684459444529*c_0101_6^8 - 384712560349277623/9651684459444529*c_0101_6^7 - 143562780311581375/9651684459444529*c_0101_6^6 + 58398284651112435/9651684459444529*c_0101_6^5 - 38620125448811495/9651684459444529*c_0101_6^4 - 124984258973823671/9651684459444529*c_0101_6^3 - 59935864221100150/9651684459444529*c_0101_6^2 + 9557720449712022/9651684459444529*c_0101_6 + 10646747824145747/9651684459444529, c_0101_0 - 1552113878873006/9651684459444529*c_0101_6^15 - 1852881418550990/9651684459444529*c_0101_6^14 + 14002196632424574/9651684459444529*c_0101_6^13 + 15487000903715091/9651684459444529*c_0101_6^12 + 35398261949519485/9651684459444529*c_0101_6^11 + 58538077708448094/9651684459444529*c_0101_6^10 - 348958920369993228/9651684459444529*c_0101_6^9 - 336272738863568935/9651684459444529*c_0101_6^8 + 191656184273306915/9651684459444529*c_0101_6^7 + 74738647881893180/9651684459444529*c_0101_6^6 - 90508905890805403/9651684459444529*c_0101_6^5 - 55167419391747026/9651684459444529*c_0101_6^4 + 35434925226711581/9651684459444529*c_0101_6^3 + 73249468881672678/9651684459444529*c_0101_6^2 + 7082760431080388/9651684459444529*c_0101_6 - 4151169789737457/9651684459444529, c_0101_4 + 356415590235483/9651684459444529*c_0101_6^15 + 268102887576130/9651684459444529*c_0101_6^14 - 3269180451565877/9651684459444529*c_0101_6^13 - 1969554807181222/9651684459444529*c_0101_6^12 - 7663363525545256/9651684459444529*c_0101_6^11 - 11117534960736572/9651684459444529*c_0101_6^10 + 82149139160882291/9651684459444529*c_0101_6^9 + 35543194794158773/9651684459444529*c_0101_6^8 - 50801385652345095/9651684459444529*c_0101_6^7 + 27958034425322883/9651684459444529*c_0101_6^6 + 31725570550045636/9651684459444529*c_0101_6^5 + 19769667075893696/9651684459444529*c_0101_6^4 - 10841753315567110/9651684459444529*c_0101_6^3 + 5847251654159230/9651684459444529*c_0101_6^2 + 17398279064457044/9651684459444529*c_0101_6 - 374512253812593/9651684459444529, c_0101_6^16 + 2*c_0101_6^15 - 8*c_0101_6^14 - 17*c_0101_6^13 - 31*c_0101_6^12 - 58*c_0101_6^11 + 190*c_0101_6^10 + 389*c_0101_6^9 + 52*c_0101_6^8 - 105*c_0101_6^7 + 81*c_0101_6^6 + 115*c_0101_6^5 + 20*c_0101_6^4 - 40*c_0101_6^3 - 15*c_0101_6^2 + 6*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB