Magma V2.19-8 Tue Aug 20 2013 23:53:22 on localhost [Seed = 3364791097] Type ? for help. Type -D to quit. Loading file "L13n5887__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5887 geometric_solution 10.78666130 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 0 2 0 0132 1302 0132 2031 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 0 1 1 -2 1 0 0 -1 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552660782940 0.859213324174 0 2 4 3 0132 3201 0132 0132 1 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 1 -1 0 -1 0 0 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025242889447 0.963073079886 5 6 1 0 0132 0132 2310 0132 0 0 0 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 -1 0 0 1 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025242889447 0.963073079886 7 8 1 7 0132 0132 0132 0321 1 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 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.345357621094 1.442720588328 9 8 10 1 0132 0321 0132 0132 1 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.146185135704 0.645554006558 2 8 7 6 0132 0213 0132 1023 1 0 1 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 -5 5 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286656749381 0.788522884307 11 2 9 5 0132 0132 1023 1023 0 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.146185135704 0.645554006558 3 3 10 5 0132 0321 0321 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845452069868 0.840301362859 11 3 5 4 1302 0132 0213 0321 1 1 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 0 0 0 0 0 -5 5 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499960247785 0.319475134941 4 11 6 10 0132 1230 1023 0321 1 0 1 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 -1 0 1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032285443549 1.511585183453 11 9 7 4 3012 0321 0321 0132 1 0 1 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 -1 0 1 0 0 0 0 1 4 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501053644127 0.989459697520 6 8 9 10 0132 2031 3012 1230 0 1 0 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 1 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501053644127 0.989459697520 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), '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_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_10'], 'c_1100_8' : d['c_0101_11'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : d['c_1001_7'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0101_2']), 's_3_1' : d['1'], 's_3_0' : negation(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'], '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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_11'], 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_10, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 104968979257616878397/25264714906624169680*c_1001_7^15 - 168739162515019777253/25264714906624169680*c_1001_7^14 - 96464369853815496301/6316178726656042420*c_1001_7^13 - 2101608067827317273079/25264714906624169680*c_1001_7^12 - 1697449015906764809387/12632357453312084840*c_1001_7^11 - 6663437395497379320491/25264714906624169680*c_1001_7^10 - 3395637419023955124793/6316178726656042420*c_1001_7^9 - 13029880088863405471943/12632357453312084840*c_1001_7^8 - 33974035859838350689529/25264714906624169680*c_1001_7^7 + 375685197872851369853/1263235745331208484*c_1001_7^6 + 22096355185680681282523/25264714906624169680*c_1001_7^5 + 41139785837085777400719/25264714906624169680*c_1001_7^4 + 4883390985198211260953/2296792264238560880*c_1001_7^3 + 17307218986270591309083/25264714906624169680*c_1001_7^2 + 80057491458879552417/92884981274353565*c_1001_7 + 4810531545948868873997/25264714906624169680, c_0011_0 - 1, c_0011_10 - 7440785359029/14978428748132*c_1001_7^15 + 1607764580245/14978428748132*c_1001_7^14 - 1926142794383/3744607187033*c_1001_7^13 - 139861136724719/14978428748132*c_1001_7^12 + 9480231797248/3744607187033*c_1001_7^11 - 118402541602841/14978428748132*c_1001_7^10 - 215604167908799/3744607187033*c_1001_7^9 + 43160049511745/7489214374066*c_1001_7^8 + 26623831475863/14978428748132*c_1001_7^7 + 113874347293859/7489214374066*c_1001_7^6 + 1070840327158073/14978428748132*c_1001_7^5 + 119591992082319/14978428748132*c_1001_7^4 + 384991476775949/14978428748132*c_1001_7^3 + 194471420914663/14978428748132*c_1001_7^2 - 26492911288455/7489214374066*c_1001_7 + 24345356014647/14978428748132, c_0011_11 + c_1001_7, c_0011_3 + 9618579205445/7489214374066*c_1001_7^15 - 1179173203250/3744607187033*c_1001_7^14 + 5113670761470/3744607187033*c_1001_7^13 + 180321314207001/7489214374066*c_1001_7^12 - 53713186322447/7489214374066*c_1001_7^11 + 78997371691303/3744607187033*c_1001_7^10 + 553751774198950/3744607187033*c_1001_7^9 - 67639164219617/3744607187033*c_1001_7^8 - 11651795146405/7489214374066*c_1001_7^7 - 302565947455743/7489214374066*c_1001_7^6 - 676352975450433/3744607187033*c_1001_7^5 - 116709774992287/7489214374066*c_1001_7^4 - 259357286458298/3744607187033*c_1001_7^3 - 255641179130141/7489214374066*c_1001_7^2 + 42766817962163/7489214374066*c_1001_7 - 21466005492027/3744607187033, c_0011_4 - 149360757891881/254633288718244*c_1001_7^15 + 53304765481159/254633288718244*c_1001_7^14 - 38268153841691/63658322179561*c_1001_7^13 - 2783974364615767/254633288718244*c_1001_7^12 + 577527444880465/127316644359122*c_1001_7^11 - 2364300169051891/254633288718244*c_1001_7^10 - 4239600487264414/63658322179561*c_1001_7^9 + 2061383226670033/127316644359122*c_1001_7^8 + 1071278056454939/254633288718244*c_1001_7^7 + 1169467114153564/63658322179561*c_1001_7^6 + 20028971902888295/254633288718244*c_1001_7^5 - 854649239695181/254633288718244*c_1001_7^4 + 6618513825810947/254633288718244*c_1001_7^3 + 2795865477797479/254633288718244*c_1001_7^2 - 14072253760042/3744607187033*c_1001_7 + 528878579029865/254633288718244, c_0101_0 - 22923743110/50967431689*c_1001_7^15 + 1881216572/50967431689*c_1001_7^14 - 23937618454/50967431689*c_1001_7^13 - 431902065179/50967431689*c_1001_7^12 + 58151344838/50967431689*c_1001_7^11 - 363896776739/50967431689*c_1001_7^10 - 2664739793708/50967431689*c_1001_7^9 - 105292954868/50967431689*c_1001_7^8 + 34532416225/50967431689*c_1001_7^7 + 947496348187/50967431689*c_1001_7^6 + 3433403420225/50967431689*c_1001_7^5 + 741019341125/50967431689*c_1001_7^4 + 1236870903697/50967431689*c_1001_7^3 + 550882782251/50967431689*c_1001_7^2 - 6493492281/2998084217*c_1001_7 + 59044320579/50967431689, c_0101_1 - 22923743110/50967431689*c_1001_7^15 + 1881216572/50967431689*c_1001_7^14 - 23937618454/50967431689*c_1001_7^13 - 431902065179/50967431689*c_1001_7^12 + 58151344838/50967431689*c_1001_7^11 - 363896776739/50967431689*c_1001_7^10 - 2664739793708/50967431689*c_1001_7^9 - 105292954868/50967431689*c_1001_7^8 + 34532416225/50967431689*c_1001_7^7 + 947496348187/50967431689*c_1001_7^6 + 3433403420225/50967431689*c_1001_7^5 + 741019341125/50967431689*c_1001_7^4 + 1236870903697/50967431689*c_1001_7^3 + 550882782251/50967431689*c_1001_7^2 - 3495408064/2998084217*c_1001_7 + 59044320579/50967431689, c_0101_11 - 23642650268149/127316644359122*c_1001_7^15 + 5463222773061/127316644359122*c_1001_7^14 - 15414798735520/63658322179561*c_1001_7^13 - 443069809022067/127316644359122*c_1001_7^12 + 59537471519397/63658322179561*c_1001_7^11 - 494169594118037/127316644359122*c_1001_7^10 - 1356375672498820/63658322179561*c_1001_7^9 + 95292960697102/63658322179561*c_1001_7^8 - 618141467204151/127316644359122*c_1001_7^7 + 360048593124398/63658322179561*c_1001_7^6 + 3272460099882123/127316644359122*c_1001_7^5 + 673341748431785/127316644359122*c_1001_7^4 + 2229310160572963/127316644359122*c_1001_7^3 + 797722083392681/127316644359122*c_1001_7^2 + 6124584957236/3744607187033*c_1001_7 + 188181449308339/127316644359122, c_0101_2 + 1, c_1001_10 + 149360757891881/254633288718244*c_1001_7^15 - 53304765481159/254633288718244*c_1001_7^14 + 38268153841691/63658322179561*c_1001_7^13 + 2783974364615767/254633288718244*c_1001_7^12 - 577527444880465/127316644359122*c_1001_7^11 + 2364300169051891/254633288718244*c_1001_7^10 + 4239600487264414/63658322179561*c_1001_7^9 - 2061383226670033/127316644359122*c_1001_7^8 - 1071278056454939/254633288718244*c_1001_7^7 - 1169467114153564/63658322179561*c_1001_7^6 - 20028971902888295/254633288718244*c_1001_7^5 + 854649239695181/254633288718244*c_1001_7^4 - 6618513825810947/254633288718244*c_1001_7^3 - 2795865477797479/254633288718244*c_1001_7^2 + 14072253760042/3744607187033*c_1001_7 - 528878579029865/254633288718244, c_1001_5 - 137419796649615/254633288718244*c_1001_7^15 + 41705892269947/254633288718244*c_1001_7^14 - 35814700540893/63658322179561*c_1001_7^13 - 2568503909861513/254633288718244*c_1001_7^12 + 230928860601117/63658322179561*c_1001_7^11 - 2214291281072479/254633288718244*c_1001_7^10 - 3926062367023728/63658322179561*c_1001_7^9 + 1470075560244561/127316644359122*c_1001_7^8 + 572825680289913/254633288718244*c_1001_7^7 + 2186158694067681/127316644359122*c_1001_7^6 + 19032725889493379/254633288718244*c_1001_7^5 + 222420374286185/254633288718244*c_1001_7^4 + 6746252358785095/254633288718244*c_1001_7^3 + 2936827678993521/254633288718244*c_1001_7^2 - 33390175906331/7489214374066*c_1001_7 + 461156352785297/254633288718244, c_1001_7^16 + c_1001_7^14 + 19*c_1001_7^13 - c_1001_7^12 + 15*c_1001_7^11 + 119*c_1001_7^10 + 14*c_1001_7^9 - 5*c_1001_7^8 - 33*c_1001_7^7 - 149*c_1001_7^6 - 46*c_1001_7^5 - 56*c_1001_7^4 - 38*c_1001_7^3 - c_1001_7^2 - 3*c_1001_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB