Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 1292685730] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0709 geometric_solution 4.66328880 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 0 0 -1 1 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394583066561 0.382658364383 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.250069750728 0.506597291926 4 3 3 0 0132 3012 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 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 0.707564618806 0.806614255373 2 4 0 2 1230 2310 0132 1302 0 0 0 0 0 0 -1 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 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 0 0 0 0 0.707564618806 0.806614255373 2 5 5 3 0132 0132 3201 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 -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 0.406017757911 0.605984378853 4 4 6 6 2310 0132 2310 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 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.258655863064 1.190317506531 6 5 5 6 3201 3201 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 1 0 -1 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.607529596322 0.150288438638 ==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_2_6' : d['1'], 's_1_6' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], '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_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), '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' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_5']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 111109421727564847/19503133259616365*c_0101_5^14 + 355150857160511936/19503133259616365*c_0101_5^13 + 2992003717379867116/19503133259616365*c_0101_5^12 - 15014433959661833927/19503133259616365*c_0101_5^11 + 10354717496934985393/19503133259616365*c_0101_5^10 + 48900467808418378977/19503133259616365*c_0101_5^9 - 19481066691250070305/3900626651923273*c_0101_5^8 + 16597590201853935206/19503133259616365*c_0101_5^7 + 21111196727523816296/3900626651923273*c_0101_5^6 - 66539213425625393564/19503133259616365*c_0101_5^5 - 40500262733060687536/19503133259616365*c_0101_5^4 + 31768554116056299184/19503133259616365*c_0101_5^3 + 6987503187857008297/19503133259616365*c_0101_5^2 - 4806576011291116904/19503133259616365*c_0101_5 + 713450552801697501/19503133259616365, c_0011_0 - 1, c_0011_2 + 298725549451558/3900626651923273*c_0101_5^14 - 940887815316784/3900626651923273*c_0101_5^13 - 7950509201492740/3900626651923273*c_0101_5^12 + 39749354560969296/3900626651923273*c_0101_5^11 - 30062463591040815/3900626651923273*c_0101_5^10 - 119955237037605154/3900626651923273*c_0101_5^9 + 262363558361187555/3900626651923273*c_0101_5^8 - 87051974241756576/3900626651923273*c_0101_5^7 - 243707686380845984/3900626651923273*c_0101_5^6 + 215990283362085094/3900626651923273*c_0101_5^5 + 47911556231520103/3900626651923273*c_0101_5^4 - 96707385774977502/3900626651923273*c_0101_5^3 + 3147554498597296/3900626651923273*c_0101_5^2 + 17527204019360834/3900626651923273*c_0101_5 - 512010158279694/3900626651923273, c_0011_6 - 364025838124619/3900626651923273*c_0101_5^14 + 488845807229523/3900626651923273*c_0101_5^13 + 11523663229379545/3900626651923273*c_0101_5^12 - 30014110092111137/3900626651923273*c_0101_5^11 - 44661777211791730/3900626651923273*c_0101_5^10 + 175341400949209464/3900626651923273*c_0101_5^9 - 22692660492067283/3900626651923273*c_0101_5^8 - 347496022219157898/3900626651923273*c_0101_5^7 + 226117305337327850/3900626651923273*c_0101_5^6 + 305818905170449482/3900626651923273*c_0101_5^5 - 219966165946842195/3900626651923273*c_0101_5^4 - 153205711856677535/3900626651923273*c_0101_5^3 + 56819281235780182/3900626651923273*c_0101_5^2 + 34641459092155237/3900626651923273*c_0101_5 + 213238300636096/3900626651923273, c_0101_0 - 55410663745316/3900626651923273*c_0101_5^14 - 47889612668841/3900626651923273*c_0101_5^13 + 2063142071907231/3900626651923273*c_0101_5^12 - 1014722665268669/3900626651923273*c_0101_5^11 - 21064052427789158/3900626651923273*c_0101_5^10 + 26961357418176471/3900626651923273*c_0101_5^9 + 56313430568227363/3900626651923273*c_0101_5^8 - 119064653436778985/3900626651923273*c_0101_5^7 - 16810334120470584/3900626651923273*c_0101_5^6 + 154589678484554687/3900626651923273*c_0101_5^5 - 12248655595949792/3900626651923273*c_0101_5^4 - 102672120295115173/3900626651923273*c_0101_5^3 - 5567876669940996/3900626651923273*c_0101_5^2 + 29018200584670624/3900626651923273*c_0101_5 + 5249798796346041/3900626651923273, c_0101_1 + 272675989913232/3900626651923273*c_0101_5^14 - 750182097795152/3900626651923273*c_0101_5^13 - 7667261028466849/3900626651923273*c_0101_5^12 + 33423564119327755/3900626651923273*c_0101_5^11 - 10806045749060984/3900626651923273*c_0101_5^10 - 124230812588752639/3900626651923273*c_0101_5^9 + 184380949118979972/3900626651923273*c_0101_5^8 + 41398504310009296/3900626651923273*c_0101_5^7 - 245528701859449933/3900626651923273*c_0101_5^6 + 52052372375648561/3900626651923273*c_0101_5^5 + 147101366076974100/3900626651923273*c_0101_5^4 - 36748288674176201/3900626651923273*c_0101_5^3 - 48036468606623467/3900626651923273*c_0101_5^2 + 11186195643992120/3900626651923273*c_0101_5 + 5583796712904478/3900626651923273, c_0101_2 + 95893644006611/3900626651923273*c_0101_5^14 - 100747156155929/3900626651923273*c_0101_5^13 - 3038791748897814/3900626651923273*c_0101_5^12 + 6868959640644347/3900626651923273*c_0101_5^11 + 13199272148978498/3900626651923273*c_0101_5^10 - 36926150016867092/3900626651923273*c_0101_5^9 - 13866217683277265/3900626651923273*c_0101_5^8 + 76161584213125771/3900626651923273*c_0101_5^7 + 9069717830378599/3900626651923273*c_0101_5^6 - 113023268577839794/3900626651923273*c_0101_5^5 - 5216024542176635/3900626651923273*c_0101_5^4 + 84602726886083125/3900626651923273*c_0101_5^3 + 10160929329950593/3900626651923273*c_0101_5^2 - 17866183841852966/3900626651923273*c_0101_5 - 4518420136544816/3900626651923273, c_0101_5^15 - 3*c_0101_5^14 - 28*c_0101_5^13 + 131*c_0101_5^12 - 54*c_0101_5^11 - 511*c_0101_5^10 + 800*c_0101_5^9 + 227*c_0101_5^8 - 1250*c_0101_5^7 + 307*c_0101_5^6 + 863*c_0101_5^5 - 252*c_0101_5^4 - 336*c_0101_5^3 + 42*c_0101_5^2 + 57*c_0101_5 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB