Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 2665415649] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2962 geometric_solution 6.14719163 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -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 1 1 -2 1 0 0 -1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414181413780 1.442574056589 0 3 5 4 0132 0132 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 1 -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 0.451330286540 0.739919350515 3 0 4 5 2310 0132 3201 3201 0 0 0 0 0 1 -1 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 1 0 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 0.451330286540 0.739919350515 3 1 2 3 3201 0132 3201 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.092038424497 0.937291959044 2 6 1 6 2310 0132 0132 2310 0 0 0 0 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 -1 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 0.986367939297 0.465760673152 5 2 5 1 2031 2310 1302 0132 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 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 0.881643398670 0.911448400926 4 4 6 6 3201 0132 2031 1302 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609195436810 0.194478935500 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), '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_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_4'], '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_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_3'], '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' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), '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' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_3'], '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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 199136336764389278/74920842646438757*c_0101_3*c_0110_6^14 - 5156552285926138421/149841685292877514*c_0101_3*c_0110_6^13 + 23087084464599376085/149841685292877514*c_0101_3*c_0110_6^12 - 25506712732551403964/74920842646438757*c_0101_3*c_0110_6^11 + 35931297943164823085/74920842646438757*c_0101_3*c_0110_6^10 - 16096365567324543790/74920842646438757*c_0101_3*c_0110_6^9 - 78608690249022138628/74920842646438757*c_0101_3*c_0110_6^8 + 386862346877285081267/149841685292877514*c_0101_3*c_0110_6^7 - 350862908183862311005/74920842646438757*c_0101_3*c_0110_6^6 + 784435842682146205387/149841685292877514*c_0101_3*c_0110_6^5 - 366633318673201680767/149841685292877514*c_0101_3*c_0110_6^4 + 276917627767731483937/149841685292877514*c_0101_3*c_0110_6^3 - 16020243864473592725/149841685292877514*c_0101_3*c_0110_6^2 + 37486660177873316415/149841685292877514*c_0101_3*c_0110_6 - 3481047893389261539/149841685292877514*c_0101_3, c_0011_0 - 1, c_0011_4 - 16997499133194252/74920842646438757*c_0101_3*c_0110_6^14 + 188978075008127994/74920842646438757*c_0101_3*c_0110_6^13 - 629901381843692847/74920842646438757*c_0101_3*c_0110_6^12 + 910001363659109848/74920842646438757*c_0101_3*c_0110_6^11 - 963224455474145377/74920842646438757*c_0101_3*c_0110_6^10 - 1192254022656419196/74920842646438757*c_0101_3*c_0110_6^9 + 5549055789184350636/74920842646438757*c_0101_3*c_0110_6^8 - 6233722901798511339/74920842646438757*c_0101_3*c_0110_6^7 + 15092154234368741429/74920842646438757*c_0101_3*c_0110_6^6 + 38310267349217374/74920842646438757*c_0101_3*c_0110_6^5 + 3753822513001477378/74920842646438757*c_0101_3*c_0110_6^4 + 2326998933961456093/74920842646438757*c_0101_3*c_0110_6^3 + 196587923435735679/74920842646438757*c_0101_3*c_0110_6^2 - 137050309666276759/74920842646438757*c_0101_3*c_0110_6 - 202630867013568295/74920842646438757*c_0101_3, c_0101_0 - 24939106906956483/74920842646438757*c_0110_6^14 + 270526099332831634/74920842646438757*c_0110_6^13 - 850532894629997719/74920842646438757*c_0110_6^12 + 1098662101243948903/74920842646438757*c_0110_6^11 - 1087223114516444210/74920842646438757*c_0110_6^10 - 2103851620456501205/74920842646438757*c_0110_6^9 + 7650543714939005015/74920842646438757*c_0110_6^8 - 7096814420436561453/74920842646438757*c_0110_6^7 + 19996006813120448848/74920842646438757*c_0110_6^6 + 5922353829896357842/74920842646438757*c_0110_6^5 + 6306489039603450330/74920842646438757*c_0110_6^4 + 5902215763255307404/74920842646438757*c_0110_6^3 + 1625623187306469046/74920842646438757*c_0110_6^2 + 457482504449999026/74920842646438757*c_0110_6 - 148481301886573496/74920842646438757, c_0101_1 + 26438040990802451/74920842646438757*c_0110_6^14 - 289339929122804927/74920842646438757*c_0110_6^13 + 931225330730151753/74920842646438757*c_0110_6^12 - 1272982902351963444/74920842646438757*c_0110_6^11 + 1339162325054010315/74920842646438757*c_0110_6^10 + 2001948878251296632/74920842646438757*c_0110_6^9 - 8193372683389387599/74920842646438757*c_0110_6^8 + 8403950091556021910/74920842646438757*c_0110_6^7 - 22539653767810664636/74920842646438757*c_0110_6^6 - 3423870853441253513/74920842646438757*c_0110_6^5 - 7919415378175802365/74920842646438757*c_0110_6^4 - 5138141588513058686/74920842646438757*c_0110_6^3 - 1797370183169055706/74920842646438757*c_0110_6^2 - 364138786576456468/74920842646438757*c_0110_6 + 77375822061981107/74920842646438757, c_0101_2 - 4629412729736482/74920842646438757*c_0101_3*c_0110_6^14 + 53081929071483794/74920842646438757*c_0101_3*c_0110_6^13 - 188866165351890615/74920842646438757*c_0101_3*c_0110_6^12 + 300816018662508757/74920842646438757*c_0101_3*c_0110_6^11 - 326523418658870808/74920842646438757*c_0101_3*c_0110_6^10 - 265829111237953316/74920842646438757*c_0101_3*c_0110_6^9 + 1665179980945076357/74920842646438757*c_0101_3*c_0110_6^8 - 2190344999746835814/74920842646438757*c_0101_3*c_0110_6^7 + 4517323530056657317/74920842646438757*c_0101_3*c_0110_6^6 - 1206093638646091124/74920842646438757*c_0101_3*c_0110_6^5 + 398291974910233866/74920842646438757*c_0101_3*c_0110_6^4 + 267450036877757021/74920842646438757*c_0101_3*c_0110_6^3 - 596545885856796502/74920842646438757*c_0101_3*c_0110_6^2 - 190328099685156175/74920842646438757*c_0101_3*c_0110_6 - 155469028835686893/74920842646438757*c_0101_3, c_0101_3^2 + 9145157613191595/149841685292877514*c_0110_6^14 - 104545340655464443/149841685292877514*c_0110_6^13 + 186230394872803434/74920842646438757*c_0110_6^12 - 307292934756534313/74920842646438757*c_0110_6^11 + 368200940624962289/74920842646438757*c_0110_6^10 + 189038132469867770/74920842646438757*c_0110_6^9 - 3074601501323447531/149841685292877514*c_0110_6^8 + 2189922587489099111/74920842646438757*c_0110_6^7 - 9709114863592369359/149841685292877514*c_0110_6^6 + 3232810088122931831/149841685292877514*c_0110_6^5 - 3576159512894948927/149841685292877514*c_0110_6^4 - 205508173565647587/149841685292877514*c_0110_6^3 - 148086265229557183/149841685292877514*c_0110_6^2 + 146380075998218413/149841685292877514*c_0110_6 - 28392164016019307/74920842646438757, c_0110_6^15 - 11*c_0110_6^14 + 36*c_0110_6^13 - 52*c_0110_6^12 + 60*c_0110_6^11 + 62*c_0110_6^10 - 301*c_0110_6^9 + 342*c_0110_6^8 - 925*c_0110_6^7 - 5*c_0110_6^6 - 467*c_0110_6^5 - 123*c_0110_6^4 - 127*c_0110_6^3 - 11*c_0110_6^2 - 4*c_0110_6 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB