Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 3953817223] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3138 geometric_solution 6.29617997 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 -1 -1 2 1 0 -2 1 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 -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 0.460218330556 0.695308649772 0 3 5 4 0132 0132 0132 0132 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 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 0.301715672103 0.803125469755 3 0 4 5 3201 0132 3201 0132 0 0 0 0 0 1 -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 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 0.301715672103 0.803125469755 3 1 3 2 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170143784059 1.265085076026 2 6 1 6 2310 0132 0132 2310 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 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 0.598116229000 1.606454268179 5 5 2 1 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491834130846 0.871535721450 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 1 -1 0 0 1 -1 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 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429988690753 0.169031427628 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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' : 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_0'], 'c_1100_3' : negation(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_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_5'], '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' : negation(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_0011_5'], '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_2']), 'c_0110_2' : negation(d['c_0011_5']), '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_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], '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_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 2239161787775290237/53675096410231424*c_0101_2*c_0110_6^15 + 9853963161919861355/26837548205115712*c_0101_2*c_0110_6^14 - 1897392250778858089/26837548205115712*c_0101_2*c_0110_6^13 - 27387274030830065907/53675096410231424*c_0101_2*c_0110_6^12 + 89780561286593871567/53675096410231424*c_0101_2*c_0110_6^11 + 25348287307746954199/26837548205115712*c_0101_2*c_0110_6^10 - 253308559885332315725/53675096410231424*c_0101_2*c_0110_6^9 - 18582551156603887531/3354693525639464*c_0101_2*c_0110_6^8 + 160667019823655334135/53675096410231424*c_0101_2*c_0110_6^7 + 118279360457518964649/13418774102557856*c_0101_2*c_0110_6^6 + 3868180382727067209/1677346762819732*c_0101_2*c_0110_6^5 - 40259216736291786341/13418774102557856*c_0101_2*c_0110_6^4 - 2105705567327813233/3354693525639464*c_0101_2*c_0110_6^3 + 26894935944903869583/53675096410231424*c_0101_2*c_0110_6^2 - 11477569752703008461/26837548205115712*c_0101_2*c_0110_6 - 15568499366736425703/53675096410231424*c_0101_2, c_0011_0 - 1, c_0011_4 - 200789894093401/419336690704933*c_0101_2*c_0110_6^15 - 1665305563586046/419336690704933*c_0101_2*c_0110_6^14 + 1175049242825133/419336690704933*c_0101_2*c_0110_6^13 + 1773039682931156/419336690704933*c_0101_2*c_0110_6^12 - 8871363151177732/419336690704933*c_0101_2*c_0110_6^11 + 3497181574529/419336690704933*c_0101_2*c_0110_6^10 + 22291473587968241/419336690704933*c_0101_2*c_0110_6^9 + 15348793617302337/419336690704933*c_0101_2*c_0110_6^8 - 21195981278451631/419336690704933*c_0101_2*c_0110_6^7 - 30813459363091553/419336690704933*c_0101_2*c_0110_6^6 + 3203850314073708/419336690704933*c_0101_2*c_0110_6^5 + 11162391079658080/419336690704933*c_0101_2*c_0110_6^4 - 2083447283548119/419336690704933*c_0101_2*c_0110_6^3 + 122780508312716/419336690704933*c_0101_2*c_0110_6^2 + 1908510920002122/419336690704933*c_0101_2*c_0110_6 - 159351886458684/419336690704933*c_0101_2, c_0011_5 - 431352318214119/419336690704933*c_0101_2*c_0110_6^15 - 3622186059680822/419336690704933*c_0101_2*c_0110_6^14 + 2139073344122840/419336690704933*c_0101_2*c_0110_6^13 + 3942274573197501/419336690704933*c_0101_2*c_0110_6^12 - 18596141304512626/419336690704933*c_0101_2*c_0110_6^11 - 1719459620349071/419336690704933*c_0101_2*c_0110_6^10 + 47068273102223196/419336690704933*c_0101_2*c_0110_6^9 + 38004793233429335/419336690704933*c_0101_2*c_0110_6^8 - 40005139299120423/419336690704933*c_0101_2*c_0110_6^7 - 70171662237172215/419336690704933*c_0101_2*c_0110_6^6 - 1343874381759558/419336690704933*c_0101_2*c_0110_6^5 + 22437100266123447/419336690704933*c_0101_2*c_0110_6^4 - 2397251464675892/419336690704933*c_0101_2*c_0110_6^3 - 862058939592201/419336690704933*c_0101_2*c_0110_6^2 + 4658556427087691/419336690704933*c_0101_2*c_0110_6 + 1245751443318613/419336690704933*c_0101_2, c_0101_0 - 141803483254563/419336690704933*c_0110_6^15 - 1175049242825133/419336690704933*c_0110_6^14 + 837228940283057/419336690704933*c_0110_6^13 + 1241347175628494/419336690704933*c_0110_6^12 - 6227983898469960/419336690704933*c_0110_6^11 - 3795343600730/419336690704933*c_0110_6^10 + 15773639967174818/419336690704933*c_0110_6^9 + 10955696679688180/419336690704933*c_0110_6^8 - 15167426384297276/419336690704933*c_0110_6^7 - 21676520570666600/419336690704933*c_0110_6^6 + 2491321718693188/419336690704933*c_0110_6^5 + 7705564318163347/419336690704933*c_0110_6^4 - 2331469343340127/419336690704933*c_0110_6^3 - 101401873161513/419336690704933*c_0110_6^2 + 2385797624004226/419336690704933*c_0110_6 + 200789894093401/419336690704933, c_0101_1 - 13878644057980/14459885886377*c_0110_6^15 - 115068179054199/14459885886377*c_0110_6^14 + 82623931066785/14459885886377*c_0110_6^13 + 130373354344372/14459885886377*c_0110_6^12 - 626730364313849/14459885886377*c_0110_6^11 + 6989384853250/14459885886377*c_0110_6^10 + 1577243312926940/14459885886377*c_0110_6^9 + 1029319907462228/14459885886377*c_0110_6^8 - 1543237382890622/14459885886377*c_0110_6^7 - 2171478522293589/14459885886377*c_0110_6^6 + 362512581313109/14459885886377*c_0110_6^5 + 855439876543876/14459885886377*c_0110_6^4 - 205465363284188/14459885886377*c_0110_6^3 - 56981290505999/14459885886377*c_0110_6^2 + 145388784131112/14459885886377*c_0110_6 + 11225989151534/14459885886377, c_0101_2^2 - 470650862605229/419336690704933*c_0110_6^15 - 3943802881401085/419336690704933*c_0110_6^14 + 2436379792996489/419336690704933*c_0110_6^13 + 4509060929356158/419336690704933*c_0110_6^12 - 20683186155792017/419336690704933*c_0110_6^11 - 1649678337859372/419336690704933*c_0110_6^10 + 52857841465625078/419336690704933*c_0110_6^9 + 39841950193498663/419336690704933*c_0110_6^8 - 47674257163313203/419336690704933*c_0110_6^7 - 76581089929168107/419336690704933*c_0110_6^6 + 3940609957987139/419336690704933*c_0110_6^5 + 27460359174970208/419336690704933*c_0110_6^4 - 4913717587130567/419336690704933*c_0110_6^3 - 1911722896089552/419336690704933*c_0110_6^2 + 5519235434136578/419336690704933*c_0110_6 + 574456880246778/419336690704933, c_0110_6^16 + 9*c_0110_6^15 - 13*c_0110_6^13 + 38*c_0110_6^12 + 31*c_0110_6^11 - 111*c_0110_6^10 - 155*c_0110_6^9 + 51*c_0110_6^8 + 229*c_0110_6^7 + 92*c_0110_6^6 - 68*c_0110_6^5 - 28*c_0110_6^4 + 11*c_0110_6^3 - 9*c_0110_6^2 - 9*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB