Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 2480017237] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0259 geometric_solution 4.29897598 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 -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 1.352113860892 0.141248391665 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102523314198 0.122403102728 3 1 1 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.064427732732 0.255590525015 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750468577072 0.299846640691 5 3 6 5 2031 0132 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408431127093 0.562034918781 6 4 4 3 1023 2310 1302 0132 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 -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 0.408431127093 0.562034918781 6 5 6 4 2310 1023 3201 0132 0 0 0 0 0 1 -1 0 1 0 -1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.846139991633 1.164358419151 ==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' : negation(d['1']), 's_3_4' : negation(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' : 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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 494799728257652760091165/1388638661445622086275243*c_0110_4^16 + 5455813392831263948868203/1388638661445622086275243*c_0110_4^14 - 92879104976744454138318076/1388638661445622086275243*c_0110_4^12 - 810453499543940458701443857/1388638661445622086275243*c_0110_4^10 + 6895546594623771888453876007/1388638661445622086275243*c_0110_4^8 + 7150451459882071026316885418/1388638661445622086275243*c_0110_4^6 - 1895260168085810950759845658/1388638661445622086275243*c_0110_4^4 - 2187160662773962718482123637/1388638661445622086275243*c_0110_4^2 + 433216988243305515168747015/1388638661445622086275243, c_0011_0 - 1, c_0011_1 + 1005718599637852680/295895730118393796351*c_0110_4^16 + 11304836942983582049/295895730118393796351*c_0110_4^14 - 186354817993169737679/295895730118393796351*c_0110_4^12 - 1687182100943642618444/295895730118393796351*c_0110_4^10 + 13652616180797659093515/295895730118393796351*c_0110_4^8 + 17450439842203036747605/295895730118393796351*c_0110_4^6 + 16447145274656096513/295895730118393796351*c_0110_4^4 - 4557277695389564689898/295895730118393796351*c_0110_4^2 - 27991796026552241528/295895730118393796351, c_0011_5 + 255357530853270398/295895730118393796351*c_0110_4^17 + 3087480532706631142/295895730118393796351*c_0110_4^15 - 44946117957478438544/295895730118393796351*c_0110_4^13 - 469323616503166376360/295895730118393796351*c_0110_4^11 + 3116165293187333832885/295895730118393796351*c_0110_4^9 + 7481711605375615345734/295895730118393796351*c_0110_4^7 + 2694271333422592394074/295895730118393796351*c_0110_4^5 - 1309497775018822672659/295895730118393796351*c_0110_4^3 - 467012416566097596779/295895730118393796351*c_0110_4, c_0101_0 + 4804182029142111332/295895730118393796351*c_0110_4^17 + 53263267926317285719/295895730118393796351*c_0110_4^15 - 898588773119258349408/295895730118393796351*c_0110_4^13 - 7923556148419524989911/295895730118393796351*c_0110_4^11 + 66475219068526177713489/295895730118393796351*c_0110_4^9 + 73475755640631261681077/295895730118393796351*c_0110_4^7 - 14247673441665116042344/295895730118393796351*c_0110_4^5 - 21925906989974085683915/295895730118393796351*c_0110_4^3 + 2883623838500648759653/295895730118393796351*c_0110_4, c_0101_2 - 27964528737581626/5582938304120637667*c_0110_4^17 - 317995618365362668/5582938304120637667*c_0110_4^15 + 5139014207950515863/5582938304120637667*c_0110_4^13 + 47574032026726763527/5582938304120637667*c_0110_4^11 - 373189749647358324897/5582938304120637667*c_0110_4^9 - 532456810456771239564/5582938304120637667*c_0110_4^7 - 85914398011404952056/5582938304120637667*c_0110_4^5 + 114000684489577103536/5582938304120637667*c_0110_4^3 + 23559162900429941280/5582938304120637667*c_0110_4, c_0101_3 - 876132819037142595/295895730118393796351*c_0110_4^16 - 9730441115860788019/295895730118393796351*c_0110_4^14 + 163639187617877312607/295895730118393796351*c_0110_4^12 + 1447643187944749794937/295895730118393796351*c_0110_4^10 - 12086228438979078634523/295895730118393796351*c_0110_4^8 - 13559559952586792645527/295895730118393796351*c_0110_4^6 + 1656607545729116109979/295895730118393796351*c_0110_4^4 + 3799909899925820160850/295895730118393796351*c_0110_4^2 + 1783830986005083764/295895730118393796351, c_0110_4^18 + 11*c_0110_4^16 - 188*c_0110_4^14 - 1633*c_0110_4^12 + 13979*c_0110_4^10 + 14084*c_0110_4^8 - 4200*c_0110_4^6 - 4336*c_0110_4^4 + 974*c_0110_4^2 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB