Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 1629552006] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1843 geometric_solution 5.49085381 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.444962730400 1.217198625708 0 3 2 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 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 -0.061643305049 0.916270372544 3 0 4 1 0132 0132 3201 0132 0 0 0 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 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 -0.061643305049 0.916270372544 2 1 5 5 0132 0132 0132 2310 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.196202556389 0.893656465680 2 6 1 6 2310 0132 0132 2310 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 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 0.378261577075 1.570063851244 3 5 5 3 3201 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.655205181014 0.814661053980 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 -1 1 0 0 -1 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 0 1 -1 0 0 1 -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 0.428829813428 0.150960576482 ==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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_0101_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_6' : negation(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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 209979623189199150513/12273103442595895*c_0110_6^12 - 664465581068778028026/12273103442595895*c_0110_6^11 + 4266758124299748928914/12273103442595895*c_0110_6^10 + 22802223338177438592469/12273103442595895*c_0110_6^9 + 24557120963775799313726/12273103442595895*c_0110_6^8 - 45339857947584175258639/12273103442595895*c_0110_6^7 - 25203840707610913940759/2454620688519179*c_0110_6^6 - 81786379931531740976374/12273103442595895*c_0110_6^5 + 37829896072362850984321/12273103442595895*c_0110_6^4 + 61802115811299359640813/12273103442595895*c_0110_6^3 + 14416742740210896769803/12273103442595895*c_0110_6^2 + 215467812652279004417/2454620688519179*c_0110_6 + 70445435720272346859/12273103442595895, c_0011_0 - 1, c_0011_4 + 13903765939165581/2454620688519179*c_0110_6^12 + 2290331778936063/129190562553641*c_0110_6^11 - 283820340449550230/2454620688519179*c_0110_6^10 - 1499400773737164863/2454620688519179*c_0110_6^9 - 1578473457385826006/2454620688519179*c_0110_6^8 + 3034921287776106357/2454620688519179*c_0110_6^7 + 8218325436174150421/2454620688519179*c_0110_6^6 + 5179048616252543669/2454620688519179*c_0110_6^5 - 2566710770282103097/2454620688519179*c_0110_6^4 - 3940765382201091336/2454620688519179*c_0110_6^3 - 865854533481873269/2454620688519179*c_0110_6^2 - 94428060422338564/2454620688519179*c_0110_6 - 8287342001991845/2454620688519179, c_0011_5 - 71074886768220384/12273103442595895*c_0110_6^12 - 221955022198541538/12273103442595895*c_0110_6^11 + 1453131357924897957/12273103442595895*c_0110_6^10 + 7655455128599577902/12273103442595895*c_0110_6^9 + 7999614745888871478/12273103442595895*c_0110_6^8 - 15615127581136713537/12273103442595895*c_0110_6^7 - 8379869371078515867/2454620688519179*c_0110_6^6 - 26044474826119160222/12273103442595895*c_0110_6^5 + 13464156089353626123/12273103442595895*c_0110_6^4 + 20044457204170893154/12273103442595895*c_0110_6^3 + 4173571104162490829/12273103442595895*c_0110_6^2 + 83733092151437138/2454620688519179*c_0110_6 + 34482031534751357/12273103442595895, c_0101_0 - 67494506262109443/12273103442595895*c_0110_6^12 - 213680713637271696/12273103442595895*c_0110_6^11 + 1370506872222457349/12273103442595895*c_0110_6^10 + 7329374523848670979/12273103442595895*c_0110_6^9 + 7918121770497291741/12273103442595895*c_0110_6^8 - 14491722909736829734/12273103442595895*c_0110_6^7 - 8092539417368743803/2454620688519179*c_0110_6^6 - 26506527394053358659/12273103442595895*c_0110_6^5 + 11745559294051320796/12273103442595895*c_0110_6^4 + 19693763398575751948/12273103442595895*c_0110_6^3 + 4821719964365760073/12273103442595895*c_0110_6^2 + 105300294350832797/2454620688519179*c_0110_6 + 46478524068000419/12273103442595895, c_0101_1 + 12489902016069546/12273103442595895*c_0110_6^12 + 39542893684337712/12273103442595895*c_0110_6^11 - 253522839897245308/12273103442595895*c_0110_6^10 - 1355747094095225178/12273103442595895*c_0110_6^9 - 1467007447789189317/12273103442595895*c_0110_6^8 + 2664951516768661043/12273103442595895*c_0110_6^7 + 78567470789172238/129190562553641*c_0110_6^6 + 4940226032450570348/12273103442595895*c_0110_6^5 - 2072072126311229647/12273103442595895*c_0110_6^4 - 3591997221552744801/12273103442595895*c_0110_6^3 - 939061195182389306/12273103442595895*c_0110_6^2 - 27852278987278698/2454620688519179*c_0110_6 - 6518618993265328/12273103442595895, c_0101_2 + 2561013849668886/645952812768205*c_0110_6^12 + 151880031033576933/12273103442595895*c_0110_6^11 - 52358205710198698/645952812768205*c_0110_6^10 - 5239193758317656237/12273103442595895*c_0110_6^9 - 5474448599985311558/12273103442595895*c_0110_6^8 + 10680430599958067947/12273103442595895*c_0110_6^7 + 5732726128153330058/2454620688519179*c_0110_6^6 + 17838672737842643107/12273103442595895*c_0110_6^5 - 9162846124462126858/12273103442595895*c_0110_6^4 - 13688520904405905009/12273103442595895*c_0110_6^3 - 2887078800790586784/12273103442595895*c_0110_6^2 - 64995385778950662/2454620688519179*c_0110_6 - 26974363808656252/12273103442595895, c_0110_6^13 + 10/3*c_0110_6^12 - 178/9*c_0110_6^11 - 112*c_0110_6^10 - 1219/9*c_0110_6^9 + 586/3*c_0110_6^8 + 1907/3*c_0110_6^7 + 4432/9*c_0110_6^6 - 329/3*c_0110_6^5 - 2893/9*c_0110_6^4 - 1076/9*c_0110_6^3 - 172/9*c_0110_6^2 - 17/9*c_0110_6 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB