Magma V2.19-8 Wed Aug 21 2013 00:56:45 on localhost [Seed = 3398225931] Type ? for help. Type -D to quit. Loading file "L13n2865__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2865 geometric_solution 12.28115315 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 0213 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 1 -2 1 -1 0 1 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 0.791666916412 0.811421135723 0 4 0 5 0132 0132 0213 0132 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 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 0.387765035923 0.410438986171 5 6 7 0 0132 0132 0132 0132 0 1 1 1 0 1 0 -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 2 0 0 1 -1 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545423397097 0.534811773932 8 9 0 10 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.449946140486 0.628041635576 8 1 11 6 3012 0132 0132 0132 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 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 0.427000716017 0.947281163243 2 12 1 7 0132 0132 0132 0321 0 1 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 0 0 0 0 0 -1 1 0 0 0 0 -11 10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.222453166506 1.414421164630 8 2 4 12 1302 0132 0132 0132 0 1 1 1 0 -1 0 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 0 1 0 -1 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600792250211 0.461720206552 10 5 9 2 0321 0321 0132 0132 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 0 0 0 0 0 0 0 -1 0 1 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 0.865083819808 0.906473404348 3 6 9 4 0132 2031 3201 1230 1 1 1 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 11 -11 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 0.288049769248 0.814859814688 8 3 11 7 2310 0132 0321 0132 0 1 1 1 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 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496797936178 0.859406684568 7 12 3 11 0321 0321 0132 0321 0 1 1 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.045725271678 1.092264910065 12 10 9 4 0321 0321 0321 0132 0 1 1 1 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 -10 0 10 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 0.702895050661 0.779251089741 11 5 6 10 0321 0132 0132 0321 0 1 1 1 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 0 1 -1 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733120176211 1.184617665387 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_1001_4'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : d['c_1001_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_10'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_12']), '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_12'], 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_1001_0, c_1001_10, c_1001_11, c_1001_12, c_1001_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 17378803353267/12686217542*c_1001_4^14 - 88224570022613/25372435084*c_1001_4^13 + 4844166302041627/101489740336*c_1001_4^12 - 11681140052908237/101489740336*c_1001_4^11 + 10821141514266891/101489740336*c_1001_4^10 - 1231737335871895/25372435084*c_1001_4^9 + 1762655178601991/50744870168*c_1001_4^8 - 1162389306004651/101489740336*c_1001_4^7 - 319153257576779/25372435084*c_1001_4^6 - 19086633363815/12686217542*c_1001_4^5 - 16882415491725/50744870168*c_1001_4^4 + 182118165943241/50744870168*c_1001_4^3 + 73923737950233/50744870168*c_1001_4^2 + 63145684473099/101489740336*c_1001_4 + 10709875921905/101489740336, c_0011_0 - 1, c_0011_10 + 351979017540/6343108771*c_1001_4^14 + 790388762966/6343108771*c_1001_4^13 - 24900365972673/12686217542*c_1001_4^12 + 66622861916229/12686217542*c_1001_4^11 - 77646729972845/12686217542*c_1001_4^10 + 28097662795370/6343108771*c_1001_4^9 - 20655941197233/6343108771*c_1001_4^8 + 18678512571319/12686217542*c_1001_4^7 + 520993854529/6343108771*c_1001_4^6 + 64875843572/6343108771*c_1001_4^5 + 955080752193/6343108771*c_1001_4^4 - 1155763680810/6343108771*c_1001_4^3 - 204294785316/6343108771*c_1001_4^2 - 445379500195/12686217542*c_1001_4 - 87579944681/12686217542, c_0011_12 + 236324459752/6343108771*c_1001_4^14 + 629143607660/6343108771*c_1001_4^13 - 8122252601813/6343108771*c_1001_4^12 + 18912458301179/6343108771*c_1001_4^11 - 17321399328365/6343108771*c_1001_4^10 + 9749094877387/6343108771*c_1001_4^9 - 8415395210842/6343108771*c_1001_4^8 + 2295525341256/6343108771*c_1001_4^7 + 2114365973582/6343108771*c_1001_4^6 + 459179983063/6343108771*c_1001_4^5 + 750598626245/6343108771*c_1001_4^4 - 722722139393/6343108771*c_1001_4^3 - 396160946082/6343108771*c_1001_4^2 - 214616535407/6343108771*c_1001_4 - 70018756596/6343108771, c_0011_3 + 371757405028/6343108771*c_1001_4^14 + 705615500214/6343108771*c_1001_4^13 - 26902107101193/12686217542*c_1001_4^12 + 79434352196105/12686217542*c_1001_4^11 - 105694967643567/12686217542*c_1001_4^10 + 43268582076451/6343108771*c_1001_4^9 - 32340114302389/6343108771*c_1001_4^8 + 37833781526467/12686217542*c_1001_4^7 - 4377026443041/6343108771*c_1001_4^6 + 929045617190/6343108771*c_1001_4^5 + 261595164592/6343108771*c_1001_4^4 - 1427412608592/6343108771*c_1001_4^3 + 292877760872/6343108771*c_1001_4^2 - 371000188185/12686217542*c_1001_4 + 160549144023/12686217542, c_0101_0 + 59943020800/6343108771*c_1001_4^14 + 132568818456/6343108771*c_1001_4^13 - 2127369214956/6343108771*c_1001_4^12 + 5737701765629/6343108771*c_1001_4^11 - 6721473109747/6343108771*c_1001_4^10 + 4831234484772/6343108771*c_1001_4^9 - 3535964723299/6343108771*c_1001_4^8 + 1643956843880/6343108771*c_1001_4^7 + 90513710191/6343108771*c_1001_4^6 + 7721628467/6343108771*c_1001_4^5 + 125541502045/6343108771*c_1001_4^4 - 189782960599/6343108771*c_1001_4^3 - 47624628866/6343108771*c_1001_4^2 - 36056351322/6343108771*c_1001_4 - 3259913810/6343108771, c_0101_10 - 719189556856/6343108771*c_1001_4^14 - 1781160896500/6343108771*c_1001_4^13 + 25082297179143/6343108771*c_1001_4^12 - 62134978124211/6343108771*c_1001_4^11 + 63041797070556/6343108771*c_1001_4^10 - 38095288778201/6343108771*c_1001_4^9 + 28938615395508/6343108771*c_1001_4^8 - 10411190683448/6343108771*c_1001_4^7 - 4871045987599/6343108771*c_1001_4^6 - 802059665625/6343108771*c_1001_4^5 - 1510744228774/6343108771*c_1001_4^4 + 2066410871660/6343108771*c_1001_4^3 + 885536926083/6343108771*c_1001_4^2 + 489278216215/6343108771*c_1001_4 + 126183044508/6343108771, c_0101_11 + 963269005444/6343108771*c_1001_4^14 + 2047741279710/6343108771*c_1001_4^13 - 68633245990985/12686217542*c_1001_4^12 + 190509903930307/12686217542*c_1001_4^11 - 235476065205053/12686217542*c_1001_4^10 + 91867708755148/6343108771*c_1001_4^9 - 69872589205193/6343108771*c_1001_4^8 + 73573682433303/12686217542*c_1001_4^7 - 4922731032604/6343108771*c_1001_4^6 + 1932513890838/6343108771*c_1001_4^5 + 1787233410785/6343108771*c_1001_4^4 - 3443742333980/6343108771*c_1001_4^3 - 49879286873/6343108771*c_1001_4^2 - 1216026480635/12686217542*c_1001_4 + 21132525411/12686217542, c_1001_0 - 1, c_1001_10 - 12546447396/6343108771*c_1001_4^14 - 50190206158/6343108771*c_1001_4^13 + 752426672337/12686217542*c_1001_4^12 - 905068888971/12686217542*c_1001_4^11 - 127146846023/12686217542*c_1001_4^10 - 179121632963/6343108771*c_1001_4^9 + 604756922820/6343108771*c_1001_4^8 + 352488802033/12686217542*c_1001_4^7 - 255231053062/6343108771*c_1001_4^6 - 70199688856/6343108771*c_1001_4^5 - 252579530223/6343108771*c_1001_4^4 + 58086973493/6343108771*c_1001_4^3 + 70494608261/6343108771*c_1001_4^2 + 82805224277/12686217542*c_1001_4 + 47098161935/12686217542, c_1001_11 - 43368044024/6343108771*c_1001_4^14 - 57097375156/6343108771*c_1001_4^13 + 1618166920655/6343108771*c_1001_4^12 - 5546933601983/6343108771*c_1001_4^11 + 8807739646601/6343108771*c_1001_4^10 - 8401699801216/6343108771*c_1001_4^9 + 6281751349152/6343108771*c_1001_4^8 - 3917362432098/6343108771*c_1001_4^7 + 1335762282557/6343108771*c_1001_4^6 - 84439902764/6343108771*c_1001_4^5 - 77842573472/6343108771*c_1001_4^4 + 203058170179/6343108771*c_1001_4^3 - 117338347841/6343108771*c_1001_4^2 + 12646481976/6343108771*c_1001_4 - 15700537331/6343108771, c_1001_12 - 223778012356/6343108771*c_1001_4^14 - 578953401502/6343108771*c_1001_4^13 + 15492078531289/12686217542*c_1001_4^12 - 36919847713387/12686217542*c_1001_4^11 + 34769945502753/12686217542*c_1001_4^10 - 9569973244424/6343108771*c_1001_4^9 + 7810638288022/6343108771*c_1001_4^8 - 4943539484545/12686217542*c_1001_4^7 - 1859134920520/6343108771*c_1001_4^6 - 388980294207/6343108771*c_1001_4^5 - 498019096022/6343108771*c_1001_4^4 + 664635165900/6343108771*c_1001_4^3 + 325666337821/6343108771*c_1001_4^2 + 346427846537/12686217542*c_1001_4 + 92939351257/12686217542, c_1001_3 + 59943020800/6343108771*c_1001_4^14 + 132568818456/6343108771*c_1001_4^13 - 2127369214956/6343108771*c_1001_4^12 + 5737701765629/6343108771*c_1001_4^11 - 6721473109747/6343108771*c_1001_4^10 + 4831234484772/6343108771*c_1001_4^9 - 3535964723299/6343108771*c_1001_4^8 + 1643956843880/6343108771*c_1001_4^7 + 90513710191/6343108771*c_1001_4^6 + 7721628467/6343108771*c_1001_4^5 + 125541502045/6343108771*c_1001_4^4 - 189782960599/6343108771*c_1001_4^3 - 47624628866/6343108771*c_1001_4^2 - 29713242551/6343108771*c_1001_4 - 3259913810/6343108771, c_1001_4^15 + 5/2*c_1001_4^14 - 277/8*c_1001_4^13 + 86*c_1001_4^12 - 185/2*c_1001_4^11 + 557/8*c_1001_4^10 - 245/4*c_1001_4^9 + 239/8*c_1001_4^8 - 41/8*c_1001_4^7 + 15/2*c_1001_4^6 + 7/4*c_1001_4^5 - 5/2*c_1001_4^4 - c_1001_4^3 - 11/8*c_1001_4^2 - 1/4*c_1001_4 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.430 Total time: 0.630 seconds, Total memory usage: 32.09MB