Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 1494795663] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1506 geometric_solution 5.31209953 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 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 1 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 -0.174209197659 0.130574802362 0 0 2 2 0132 2310 2310 0132 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 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.834171925924 2.661275442167 3 1 1 4 0132 3201 0132 0132 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 1 0 -1 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 0.166767471980 0.467435639582 2 4 6 5 0132 2310 0132 0132 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 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 0.035023258813 1.021302871074 6 5 2 3 2310 0132 0132 3201 0 0 0 0 0 -1 0 1 -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 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 0.035023258813 1.021302871074 5 4 3 5 3012 0132 0132 1230 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943395541765 1.011111873314 6 6 4 3 1302 2031 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494026612934 0.472756072699 ==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' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 147978438679914061/2674048956658455*c_0101_3^15 - 45881234673588218/891349652219485*c_0101_3^14 - 442185742034869509/891349652219485*c_0101_3^13 - 35292680187690763/891349652219485*c_0101_3^12 + 2815712931082467317/2674048956658455*c_0101_3^11 + 406799877634032882/891349652219485*c_0101_3^10 - 1089678034940230603/2674048956658455*c_0101_3^9 - 4391576361112758361/2674048956658455*c_0101_3^8 + 6050470871747689837/2674048956658455*c_0101_3^7 - 55516019590859619/891349652219485*c_0101_3^6 - 2800013329279048472/2674048956658455*c_0101_3^5 + 3165552423733527682/891349652219485*c_0101_3^4 + 1615415976711194782/534809791331691*c_0101_3^3 + 351523654200718487/178269930443897*c_0101_3^2 + 1551730500642304517/2674048956658455*c_0101_3 + 320655914650673578/2674048956658455, c_0011_0 - 1, c_0011_2 - 2012904844033/178269930443897*c_0101_3^15 + 5595613599183/178269930443897*c_0101_3^14 + 11792758343687/178269930443897*c_0101_3^13 - 27979579853947/178269930443897*c_0101_3^12 - 19898104192620/178269930443897*c_0101_3^11 + 48546219218443/178269930443897*c_0101_3^10 + 14033739613770/178269930443897*c_0101_3^9 + 21426786775035/178269930443897*c_0101_3^8 - 222070537208001/178269930443897*c_0101_3^7 + 223094109191416/178269930443897*c_0101_3^6 - 69058484405368/178269930443897*c_0101_3^5 - 67558666597329/178269930443897*c_0101_3^4 - 61059497634007/178269930443897*c_0101_3^3 + 11851602547721/178269930443897*c_0101_3^2 + 111433441476827/178269930443897*c_0101_3 - 76279229507255/178269930443897, c_0011_4 - 4013443789786/178269930443897*c_0011_6*c_0101_3^15 - 34307395946605/178269930443897*c_0011_6*c_0101_3^14 + 76716051753530/178269930443897*c_0011_6*c_0101_3^13 + 339676960683659/178269930443897*c_0011_6*c_0101_3^12 - 95397991416344/178269930443897*c_0011_6*c_0101_3^11 - 771938478841773/178269930443897*c_0011_6*c_0101_3^10 - 198872205700273/178269930443897*c_0011_6*c_0101_3^9 + 468168817868310/178269930443897*c_0011_6*c_0101_3^8 + 945444293353350/178269930443897*c_0011_6*c_0101_3^7 - 1715849600828424/178269930443897*c_0011_6*c_0101_3^6 + 349824347313937/178269930443897*c_0011_6*c_0101_3^5 + 405351357100517/178269930443897*c_0011_6*c_0101_3^4 - 2632424434185949/178269930443897*c_0011_6*c_0101_3^3 - 2062990989497908/178269930443897*c_0011_6*c_0101_3^2 - 903291181653608/178269930443897*c_0011_6*c_0101_3 - 77282368947903/178269930443897*c_0011_6, c_0011_6^2 + 55237527433198/178269930443897*c_0101_3^15 - 38352585298581/178269930443897*c_0101_3^14 - 530214766095553/178269930443897*c_0101_3^13 - 134783317430940/178269930443897*c_0101_3^12 + 1252195073535449/178269930443897*c_0101_3^11 + 712457943103436/178269930443897*c_0101_3^10 - 782391335949760/178269930443897*c_0101_3^9 - 1918702487493214/178269930443897*c_0101_3^8 + 2150606529885903/178269930443897*c_0101_3^7 + 1199961807010363/178269930443897*c_0101_3^6 - 2054134005620666/178269930443897*c_0101_3^5 + 3105103504183276/178269930443897*c_0101_3^4 + 4482879623388321/178269930443897*c_0101_3^3 + 1165362490193140/178269930443897*c_0101_3^2 - 264639857607130/178269930443897*c_0101_3 - 154983537048438/178269930443897, c_0101_0 - 14872037290584/178269930443897*c_0101_3^15 + 27481405597588/178269930443897*c_0101_3^14 + 122990559087253/178269930443897*c_0101_3^13 - 119464945017542/178269930443897*c_0101_3^12 - 305897146878430/178269930443897*c_0101_3^11 + 181469842399337/178269930443897*c_0101_3^10 + 247542924883504/178269930443897*c_0101_3^9 + 258417890399774/178269930443897*c_0101_3^8 - 1033128797235560/178269930443897*c_0101_3^7 + 560576765465696/178269930443897*c_0101_3^6 + 554394263379962/178269930443897*c_0101_3^5 - 1487732002831498/178269930443897*c_0101_3^4 + 98365262826920/178269930443897*c_0101_3^3 + 363263309925805/178269930443897*c_0101_3^2 + 166582498582310/178269930443897*c_0101_3 + 21041702074057/178269930443897, c_0101_1 - 2274217909065/178269930443897*c_0101_3^15 + 5210596943860/178269930443897*c_0101_3^14 + 15129115620624/178269930443897*c_0101_3^13 - 22572422414549/178269930443897*c_0101_3^12 - 29239234556604/178269930443897*c_0101_3^11 + 35442893189180/178269930443897*c_0101_3^10 + 27589371987796/178269930443897*c_0101_3^9 + 33746096217006/178269930443897*c_0101_3^8 - 219194300412468/178269930443897*c_0101_3^7 + 215154110500386/178269930443897*c_0101_3^6 - 71142669538124/178269930443897*c_0101_3^5 - 68349611275465/178269930443897*c_0101_3^4 - 62756699335739/178269930443897*c_0101_3^3 + 4654133264907/178269930443897*c_0101_3^2 + 42334283526177/178269930443897*c_0101_3 - 139949090707506/178269930443897, c_0101_3^16 - c_0101_3^15 - 9*c_0101_3^14 + 20*c_0101_3^12 + 7*c_0101_3^11 - 10*c_0101_3^10 - 30*c_0101_3^9 + 44*c_0101_3^8 - c_0101_3^7 - 23*c_0101_3^6 + 65*c_0101_3^5 + 53*c_0101_3^4 + 25*c_0101_3^3 + 2*c_0101_3^2 - c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB