Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 947495974] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s658 geometric_solution 5.15101486 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 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 1.626267735990 0.560655534523 0 2 3 0 3201 0132 0132 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 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 0.686382619278 0.522713125345 4 1 3 5 0132 0132 1302 0132 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 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 0.525630495212 0.511374129742 2 5 4 1 2031 1023 0132 0132 0 0 0 0 0 0 0 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 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 0.525630495212 0.511374129742 2 4 4 3 0132 1230 3012 0132 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 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 0.523442718650 1.096291168561 3 5 2 5 1023 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.590628752777 0.482946151728 ==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' : 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' : negation(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_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_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_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_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' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 2021313174739688972379319/4207316455170832348688512*c_0110_5^18 - 6111085464546855724681103/2103658227585416174344256*c_0110_5^17 - 30935047331109161424895393/4207316455170832348688512*c_0110_5^16 - 43714614357702624145175503/4207316455170832348688512*c_0110_5^15 + 38393299774099028417879841/4207316455170832348688512*c_0110_5^14 + 111034973063408775904936713/2103658227585416174344256*c_0110_5^13 + 100401214636963719144500751/1051829113792708087172128*c_0110_5^12 - 147333940719079487146759395/2103658227585416174344256*c_0110_5^11 - 331777500726790121184405205/2103658227585416174344256*c_0110_5^10 - 129192748875417851717793253/2103658227585416174344256*c_0110_5^9 + 184893897947181326444460277/2103658227585416174344256*c_0110_5^8 + 446067137953484627735887283/4207316455170832348688512*c_0110_5^7 + 90128025056049956473194915/4207316455170832348688512*c_0110_5^6 - 241911352985410179175514559/4207316455170832348688512*c_0110_5^5 - 127279235877195560857324107/4207316455170832348688512*c_0110_5^4 + 149756192620632187942500845/4207316455170832348688512*c_0110_5^3 + 127570481663181308133017351/4207316455170832348688512*c_0110_5^2 - 82291001669173074824221793/4207316455170832348688512*c_0110_5 - 20207928466095691326131901/1051829113792708087172128, c_0011_0 - 1, c_0011_1 - 154677159110245397941/2528435369694009824933*c_0110_5^18 - 1077534119429413500689/2528435369694009824933*c_0110_5^17 - 3334792747748701125213/2528435369694009824933*c_0110_5^16 - 6298861032789081306183/2528435369694009824933*c_0110_5^15 - 2688364465253079613035/2528435369694009824933*c_0110_5^14 + 14455257439497177805801/2528435369694009824933*c_0110_5^13 + 42556755916757279925975/2528435369694009824933*c_0110_5^12 + 13844257039541368318213/2528435369694009824933*c_0110_5^11 - 39650361336444640839768/2528435369694009824933*c_0110_5^10 - 44832372114499359563176/2528435369694009824933*c_0110_5^9 - 3612685586905537910776/2528435369694009824933*c_0110_5^8 + 25723118768873424733203/2528435369694009824933*c_0110_5^7 + 16038793841162619971963/2528435369694009824933*c_0110_5^6 - 9986406496230725128933/2528435369694009824933*c_0110_5^5 - 14738396492913042020703/2528435369694009824933*c_0110_5^4 + 1720466729165913903685/2528435369694009824933*c_0110_5^3 + 11090781180436820745373/2528435369694009824933*c_0110_5^2 + 1256433786528943977702/2528435369694009824933*c_0110_5 - 4275277334828696197543/2528435369694009824933, c_0011_3 + 2841656419813676842699/40454965915104157198928*c_0110_5^18 + 9038189784182546078035/20227482957552078599464*c_0110_5^17 + 50334593972145491741597/40454965915104157198928*c_0110_5^16 + 84501580412910448332435/40454965915104157198928*c_0110_5^15 - 7603960110601603596525/40454965915104157198928*c_0110_5^14 - 140675919310368308328493/20227482957552078599464*c_0110_5^13 - 164314063741011495044455/10113741478776039299732*c_0110_5^12 + 48526245479828753195879/20227482957552078599464*c_0110_5^11 + 350218909800293756978649/20227482957552078599464*c_0110_5^10 + 309994167295564207167489/20227482957552078599464*c_0110_5^9 - 54278941288069856008433/20227482957552078599464*c_0110_5^8 - 408053040551247928197863/40454965915104157198928*c_0110_5^7 - 228275587290649781869287/40454965915104157198928*c_0110_5^6 + 177217794623680217135587/40454965915104157198928*c_0110_5^5 + 196163224296419034073215/40454965915104157198928*c_0110_5^4 - 108951870430184820217049/40454965915104157198928*c_0110_5^3 - 186187980759478260864443/40454965915104157198928*c_0110_5^2 + 16105381968825088808397/40454965915104157198928*c_0110_5 + 13758901838928618688097/10113741478776039299732, c_0101_0 + 242136900786238296029/5056870739388019649866*c_0110_5^18 + 919801638944063650342/2528435369694009824933*c_0110_5^17 + 6342117125169925014499/5056870739388019649866*c_0110_5^16 + 13594834801269738468081/5056870739388019649866*c_0110_5^15 + 11965353798206895408789/5056870739388019649866*c_0110_5^14 - 8337170723707032878527/2528435369694009824933*c_0110_5^13 - 39025991463755527171528/2528435369694009824933*c_0110_5^12 - 34114328323068738287225/2528435369694009824933*c_0110_5^11 + 13986467539032737272068/2528435369694009824933*c_0110_5^10 + 45108895838789811115344/2528435369694009824933*c_0110_5^9 + 28460361997023774679848/2528435369694009824933*c_0110_5^8 - 7064217125747056080909/5056870739388019649866*c_0110_5^7 - 27734261208434981697423/5056870739388019649866*c_0110_5^6 - 1031291880710120995519/5056870739388019649866*c_0110_5^5 + 20847710359549692724877/5056870739388019649866*c_0110_5^4 + 6284664094273787820227/5056870739388019649866*c_0110_5^3 - 17960123771247358447331/5056870739388019649866*c_0110_5^2 - 14727831058813514264383/5056870739388019649866*c_0110_5 + 1822242736654576444144/2528435369694009824933, c_0101_4 + 2832549787082933741989/40454965915104157198928*c_0110_5^18 + 10099227169610447891173/20227482957552078599464*c_0110_5^17 + 63375438297620438300659/40454965915104157198928*c_0110_5^16 + 119535310982170536209293/40454965915104157198928*c_0110_5^15 + 51936003182231796886109/40454965915104157198928*c_0110_5^14 - 142960086078965653313195/20227482957552078599464*c_0110_5^13 - 207689768146565828315725/10113741478776039299732*c_0110_5^12 - 161533665798193241261711/20227482957552078599464*c_0110_5^11 + 421666167467848041399031/20227482957552078599464*c_0110_5^10 + 440633528570249107937535/20227482957552078599464*c_0110_5^9 + 55210797594158125256289/20227482957552078599464*c_0110_5^8 - 410201058021715073680329/40454965915104157198928*c_0110_5^7 - 288945482972117542362393/40454965915104157198928*c_0110_5^6 + 165172444630158519323533/40454965915104157198928*c_0110_5^5 + 231048109911555886657121/40454965915104157198928*c_0110_5^4 - 119045181290321903479783/40454965915104157198928*c_0110_5^3 - 239418015215215565387653/40454965915104157198928*c_0110_5^2 - 11042514072071214237181/40454965915104157198928*c_0110_5 + 20760964615977037197743/10113741478776039299732, c_0110_5^19 + 6*c_0110_5^18 + 15*c_0110_5^17 + 21*c_0110_5^16 - 19*c_0110_5^15 - 106*c_0110_5^14 - 188*c_0110_5^13 + 154*c_0110_5^12 + 302*c_0110_5^11 + 62*c_0110_5^10 - 174*c_0110_5^9 - 157*c_0110_5^8 + 7*c_0110_5^7 + 117*c_0110_5^6 + 33*c_0110_5^5 - 87*c_0110_5^4 - 45*c_0110_5^3 + 51*c_0110_5^2 + 24*c_0110_5 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB