Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 3869735650] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s472 geometric_solution 4.84354266 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180002200483 0.713197455801 0 1 0 1 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.919835425161 0.716524641642 4 3 5 0 0132 3012 0132 0132 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.295153930659 0.989000565403 2 4 0 5 1230 2310 0132 2310 0 0 0 0 0 1 -1 0 -1 0 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 -1 0 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 1.295153930659 0.989000565403 2 4 4 3 0132 1230 3012 3201 0 0 0 0 0 -1 0 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 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 0.818235036028 0.692033798118 3 5 5 2 3201 1230 3012 0132 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252045375944 0.507300474275 ==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' : d['1'], 's_3_2' : 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' : d['1'], 's_2_5' : 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_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_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_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' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2313094334424637/152122372582192*c_0101_2^12 + 5713432669642119/152122372582192*c_0101_2^11 + 5000484823890253/19015296572774*c_0101_2^10 - 203111986464531837/152122372582192*c_0101_2^9 - 476797393977716483/76061186291096*c_0101_2^8 - 112060748996649963/19015296572774*c_0101_2^7 + 575286890750749649/152122372582192*c_0101_2^6 + 633459246484679553/76061186291096*c_0101_2^5 + 841009113553562223/152122372582192*c_0101_2^4 - 92516094920547209/19015296572774*c_0101_2^3 - 509458370432044375/152122372582192*c_0101_2^2 + 126061643413009943/152122372582192*c_0101_2 + 16793813726157589/38030593145548, c_0011_0 - 1, c_0011_2 + 6142191119913/38030593145548*c_0101_2^12 - 14901636711251/38030593145548*c_0101_2^11 - 53108301461917/19015296572774*c_0101_2^10 + 533425766674381/38030593145548*c_0101_2^9 + 1271729775576469/19015296572774*c_0101_2^8 + 635882559141059/9507648286387*c_0101_2^7 - 1114207342673083/38030593145548*c_0101_2^6 - 1487455643441163/19015296572774*c_0101_2^5 - 2219568540493407/38030593145548*c_0101_2^4 + 418552622068845/9507648286387*c_0101_2^3 + 1081475431417133/38030593145548*c_0101_2^2 - 312167621503361/38030593145548*c_0101_2 - 30731613842340/9507648286387, c_0011_5 - 18144692430473/38030593145548*c_0101_2^12 + 42949165688905/38030593145548*c_0101_2^11 + 79654380278820/9507648286387*c_0101_2^10 - 1561921918585129/38030593145548*c_0101_2^9 - 3823387846550709/19015296572774*c_0101_2^8 - 3888583131487029/19015296572774*c_0101_2^7 + 3830132695524509/38030593145548*c_0101_2^6 + 5138301609126087/19015296572774*c_0101_2^5 + 7320756313282983/38030593145548*c_0101_2^4 - 2629307003000361/19015296572774*c_0101_2^3 - 4510124008359737/38030593145548*c_0101_2^2 + 800147310252967/38030593145548*c_0101_2 + 156937762054666/9507648286387, c_0101_0 + 476363454513/38030593145548*c_0101_2^12 - 1025322704545/38030593145548*c_0101_2^11 - 2040158243476/9507648286387*c_0101_2^10 + 38340608849175/38030593145548*c_0101_2^9 + 50323542098422/9507648286387*c_0101_2^8 + 4155165132290/559273428611*c_0101_2^7 + 146441203101289/38030593145548*c_0101_2^6 - 11069897289941/19015296572774*c_0101_2^5 - 241702531113799/38030593145548*c_0101_2^4 - 72670130954891/19015296572774*c_0101_2^3 - 110303496026915/38030593145548*c_0101_2^2 + 32881252916991/38030593145548*c_0101_2 + 16407958333022/9507648286387, c_0101_1 + 3679679450019/19015296572774*c_0101_2^12 - 8855553810489/19015296572774*c_0101_2^11 - 64578566714477/19015296572774*c_0101_2^10 + 319871838092177/19015296572774*c_0101_2^9 + 771922201306325/9507648286387*c_0101_2^8 + 746207566845440/9507648286387*c_0101_2^7 - 28825186067235/559273428611*c_0101_2^6 - 66733691943921/559273428611*c_0101_2^5 - 1501934868971659/19015296572774*c_0101_2^4 + 592835461350404/9507648286387*c_0101_2^3 + 514469585483600/9507648286387*c_0101_2^2 - 89648740757099/9507648286387*c_0101_2 - 69044424121831/9507648286387, c_0101_2^13 - 3*c_0101_2^12 - 16*c_0101_2^11 + 97*c_0101_2^10 + 366*c_0101_2^9 + 168*c_0101_2^8 - 461*c_0101_2^7 - 426*c_0101_2^6 - 75*c_0101_2^5 + 520*c_0101_2^4 + 59*c_0101_2^3 - 171*c_0101_2^2 - 4*c_0101_2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB