Magma V2.19-8 Tue Aug 20 2013 16:14:54 on localhost [Seed = 4290667419] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s886 geometric_solution 5.58669262 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329434600938 0.771870800681 0 3 3 4 0132 0132 1230 0132 0 0 0 0 0 1 -1 0 1 0 -1 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 -1 1 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 1.209889691937 0.990974716967 3 5 0 4 2031 0132 0132 2031 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 0.502570174564 0.664509897563 5 1 2 1 2031 0132 1302 3012 0 0 0 0 0 -1 0 1 -1 0 0 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 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 0.540020900534 0.616337264141 5 2 1 5 3012 1302 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468735136389 0.374707496110 4 2 3 4 3012 0132 1302 1230 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 0.256991123784 0.886570953373 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : 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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0110_2'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 719439352835653/149686024093471*c_0110_2^14 - 13201919688844387/149686024093471*c_0110_2^13 - 17257826645996819/149686024093471*c_0110_2^12 + 78068918598270183/149686024093471*c_0110_2^11 + 241868444331596219/299372048186942*c_0110_2^10 - 350891826030843797/299372048186942*c_0110_2^9 - 675496134526212231/299372048186942*c_0110_2^8 + 379411492064277273/299372048186942*c_0110_2^7 + 514237726520561237/149686024093471*c_0110_2^6 - 50709388360679828/149686024093471*c_0110_2^5 - 923682343069906121/299372048186942*c_0110_2^4 - 252837770703724811/299372048186942*c_0110_2^3 + 353922158747683915/299372048186942*c_0110_2^2 + 225878826382310019/299372048186942*c_0110_2 + 36440762087370687/299372048186942, c_0011_0 - 1, c_0011_2 + 42593753780463/149686024093471*c_0110_2^14 + 770821680553593/149686024093471*c_0110_2^13 + 837927220349581/149686024093471*c_0110_2^12 - 4625771869345052/149686024093471*c_0110_2^11 - 5713453224602128/149686024093471*c_0110_2^10 + 10807891112739523/149686024093471*c_0110_2^9 + 15752856117073411/149686024093471*c_0110_2^8 - 13378848598419665/149686024093471*c_0110_2^7 - 23773390669256625/149686024093471*c_0110_2^6 + 7368238336171929/149686024093471*c_0110_2^5 + 21710099683430092/149686024093471*c_0110_2^4 + 2219587757351557/149686024093471*c_0110_2^3 - 8808459427910780/149686024093471*c_0110_2^2 - 3432950430683163/149686024093471*c_0110_2 + 93317787047821/149686024093471, c_0011_4 - 7871492109180/149686024093471*c_0110_2^14 - 127040943499853/149686024093471*c_0110_2^13 + 117241640131218/149686024093471*c_0110_2^12 + 1036304681878956/149686024093471*c_0110_2^11 - 727744851651986/149686024093471*c_0110_2^10 - 3219207588379467/149686024093471*c_0110_2^9 + 1789336196126868/149686024093471*c_0110_2^8 + 5786899444725649/149686024093471*c_0110_2^7 - 2524070994376042/149686024093471*c_0110_2^6 - 6284699690849523/149686024093471*c_0110_2^5 + 1664962732272050/149686024093471*c_0110_2^4 + 4159741873787258/149686024093471*c_0110_2^3 - 279350482069935/149686024093471*c_0110_2^2 - 1240737369074152/149686024093471*c_0110_2 - 127569833630796/149686024093471, c_0101_0 - 56368237045650/149686024093471*c_0110_2^14 - 1028402750086887/149686024093471*c_0110_2^13 - 1258434853089807/149686024093471*c_0110_2^12 + 5967436791503731/149686024093471*c_0110_2^11 + 8395290888200098/149686024093471*c_0110_2^10 - 13435901699856178/149686024093471*c_0110_2^9 - 22731209929422227/149686024093471*c_0110_2^8 + 15696487880027761/149686024093471*c_0110_2^7 + 33914102282880685/149686024093471*c_0110_2^6 - 7257497214881175/149686024093471*c_0110_2^5 - 30454848721459221/149686024093471*c_0110_2^4 - 4726603490979758/149686024093471*c_0110_2^3 + 11858556292157707/149686024093471*c_0110_2^2 + 4925971724184341/149686024093471*c_0110_2 + 5512029101487/149686024093471, c_0101_1 - 159940580408957/149686024093471*c_0110_2^14 - 2912146727540767/149686024093471*c_0110_2^13 - 3454915733913205/149686024093471*c_0110_2^12 + 17212028529104403/149686024093471*c_0110_2^11 + 23220922767033746/149686024093471*c_0110_2^10 - 39806863799976394/149686024093471*c_0110_2^9 - 63032388926376423/149686024093471*c_0110_2^8 + 48459120751839165/149686024093471*c_0110_2^7 + 94143796031354700/149686024093471*c_0110_2^6 - 25875422035501075/149686024093471*c_0110_2^5 - 84321698103450758/149686024093471*c_0110_2^4 - 9524396588884395/149686024093471*c_0110_2^3 + 32716625188360182/149686024093471*c_0110_2^2 + 12810494718455283/149686024093471*c_0110_2 + 426933520285910/149686024093471, c_0110_2^15 + 19*c_0110_2^14 + 36*c_0110_2^13 - 91*c_0110_2^12 - 231*c_0110_2^11 + 137*c_0110_2^10 + 595*c_0110_2^9 + c_0110_2^8 - 839*c_0110_2^7 - 293*c_0110_2^6 + 671*c_0110_2^5 + 469*c_0110_2^4 - 171*c_0110_2^3 - 241*c_0110_2^2 - 61*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB