Magma V2.19-8 Tue Aug 20 2013 23:38:22 on localhost [Seed = 981229086] Type ? for help. Type -D to quit. Loading file "K14n10510__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n10510 geometric_solution 8.37682916 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 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 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 0.567406842184 0.839583118560 0 5 7 6 0132 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 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 0.460447746469 0.180483694342 3 0 8 4 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651927562548 0.840736323373 5 7 2 0 0213 2031 1302 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 1.129645318426 0.429612371713 2 9 0 7 3201 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.586514078533 0.500737512219 3 1 8 6 0213 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.466334786722 0.700664100140 5 9 1 9 3201 1023 0132 1302 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 -4 1 3 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 0.758712218274 0.839247341149 3 4 8 1 1302 0321 1302 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 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 0.424474571116 0.300846444493 7 9 5 2 2031 0321 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 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 0.758712218274 0.839247341149 6 4 6 8 1023 0132 2031 0321 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 4 0 -3 -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 0.758712218274 0.839247341149 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_0011_7'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0011_3'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0011_3'], 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : negation(d['c_0110_6']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_8, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 431516980619064598708843/2318287929417201478500*c_1001_2^12 + 307077586722309091522993/772762643139067159500*c_1001_2^11 - 1406768586054653916351407/2318287929417201478500*c_1001_2^10 - 1636053052658611838169463/927315171766880591400*c_1001_2^9 + 664791487888240768976533/299133926376413094000*c_1001_2^8 + 30828443731057550935873567/4636575858834402957000*c_1001_2^7 - 2676931607157930996275983/4636575858834402957000*c_1001_2^6 - 164560060122217607370971933/18546303435337611828000*c_1001_2^5 + 2611849516041245832662743/3709260687067522365600*c_1001_2^4 + 9114793327520468029536653/1854630343533761182800*c_1001_2^3 + 32934964631505635421169877/74185213741350447312000*c_1001_2^2 - 108068331903885469140403/171725031808681591000*c_1001_2 - 117614519646735967078639/4636575858834402957000, c_0011_0 - 1, c_0011_3 - 5211795925329236/32606018697850935*c_1001_2^12 - 10064202165876868/32606018697850935*c_1001_2^11 + 20550533606064884/32606018697850935*c_1001_2^10 + 3081738159310486/2173734579856729*c_1001_2^9 - 2641783771341059/1051807054769385*c_1001_2^8 - 178905734536386662/32606018697850935*c_1001_2^7 + 30859287753825726/10868672899283645*c_1001_2^6 + 529321040057340379/65212037395701870*c_1001_2^5 - 64437509108742541/13042407479140374*c_1001_2^4 - 41027759945048447/6521203739570187*c_1001_2^3 + 1016969040730883269/260848149582807480*c_1001_2^2 + 90868119972756137/65212037395701870*c_1001_2 - 18029180626738082/10868672899283645, c_0011_4 + 7061452696344482/32606018697850935*c_1001_2^12 + 9576307030146946/32606018697850935*c_1001_2^11 - 31740921869134058/32606018697850935*c_1001_2^10 - 2803523636454519/2173734579856729*c_1001_2^9 + 8246691669597631/2103614109538770*c_1001_2^8 + 157834105202396729/32606018697850935*c_1001_2^7 - 61543653075232607/10868672899283645*c_1001_2^6 - 853151028891886391/130424074791403740*c_1001_2^5 + 236329827653972237/26084814958280748*c_1001_2^4 + 21020202856639711/13042407479140374*c_1001_2^3 - 1700338054346118641/521696299165614960*c_1001_2^2 - 1371908224925759/65212037395701870*c_1001_2 + 17460954867078759/10868672899283645, c_0011_7 + 8404408520015812/32606018697850935*c_1001_2^12 + 12311661273131236/32606018697850935*c_1001_2^11 - 11584327256462716/10868672899283645*c_1001_2^10 - 10099252732869322/6521203739570187*c_1001_2^9 + 4602215769175663/1051807054769385*c_1001_2^8 + 63484839016701798/10868672899283645*c_1001_2^7 - 185032109880592186/32606018697850935*c_1001_2^6 - 454040095027782743/65212037395701870*c_1001_2^5 + 44472832232920519/4347469159713458*c_1001_2^4 + 3011937820586003/2173734579856729*c_1001_2^3 - 351527843292076091/86949383194269160*c_1001_2^2 + 3369188617769423/32606018697850935*c_1001_2 + 46878810102294587/32606018697850935, c_0101_0 + 279465048792976/6521203739570187*c_1001_2^12 + 782185488589144/6521203739570187*c_1001_2^11 - 174743362607928/2173734579856729*c_1001_2^10 - 2821330759580960/6521203739570187*c_1001_2^9 + 77459905363456/210361410953877*c_1001_2^8 + 3579232921692582/2173734579856729*c_1001_2^7 + 2146854912658460/6521203739570187*c_1001_2^6 - 8136461318440630/6521203739570187*c_1001_2^5 + 1627507227712965/2173734579856729*c_1001_2^4 + 1626385191407137/2173734579856729*c_1001_2^3 - 8049994484570759/4347469159713458*c_1001_2^2 + 7819324760856059/26084814958280748*c_1001_2 + 2721518166668408/6521203739570187, c_0101_1 - 13443317566455194/32606018697850935*c_1001_2^12 - 21106498490708282/32606018697850935*c_1001_2^11 + 18433920017457782/10868672899283645*c_1001_2^10 + 18337527611725985/6521203739570187*c_1001_2^9 - 14256666301040707/2103614109538770*c_1001_2^8 - 115946514461443031/10868672899283645*c_1001_2^7 + 270400953578856017/32606018697850935*c_1001_2^6 + 1853431837121134187/130424074791403740*c_1001_2^5 - 120082822506492739/8694938319426916*c_1001_2^4 - 24503629638785581/4347469159713458*c_1001_2^3 + 1000107402775933199/173898766388538320*c_1001_2^2 + 76344227212750483/65212037395701870*c_1001_2 - 77135138445003709/32606018697850935, c_0101_2 + 12993790398344498/32606018697850935*c_1001_2^12 + 5520737068911798/10868672899283645*c_1001_2^11 - 63081480141120682/32606018697850935*c_1001_2^10 - 16050064685829421/6521203739570187*c_1001_2^9 + 16177681431162919/2103614109538770*c_1001_2^8 + 301783508798309701/32606018697850935*c_1001_2^7 - 402347219079688789/32606018697850935*c_1001_2^6 - 1907955326292653039/130424074791403740*c_1001_2^5 + 459771247354379389/26084814958280748*c_1001_2^4 + 63935990315962391/13042407479140374*c_1001_2^3 - 4097402082965700409/521696299165614960*c_1001_2^2 - 4499786864526721/10868672899283645*c_1001_2 + 79897918335671933/32606018697850935, c_0101_8 + 355726881523826/10868672899283645*c_1001_2^12 + 782832232904618/10868672899283645*c_1001_2^11 - 1650422301172034/10868672899283645*c_1001_2^10 - 828945581794261/2173734579856729*c_1001_2^9 + 430028785156943/701204703179590*c_1001_2^8 + 16826225795293367/10868672899283645*c_1001_2^7 - 11143222651933393/10868672899283645*c_1001_2^6 - 125978443785380463/43474691597134580*c_1001_2^5 + 14739906507592273/8694938319426916*c_1001_2^4 + 14163970429437681/4347469159713458*c_1001_2^3 - 377799255750916633/173898766388538320*c_1001_2^2 - 45698612992391209/43474691597134580*c_1001_2 + 15517514956185211/10868672899283645, c_0110_6 + 12993790398344498/32606018697850935*c_1001_2^12 + 5520737068911798/10868672899283645*c_1001_2^11 - 63081480141120682/32606018697850935*c_1001_2^10 - 16050064685829421/6521203739570187*c_1001_2^9 + 16177681431162919/2103614109538770*c_1001_2^8 + 301783508798309701/32606018697850935*c_1001_2^7 - 402347219079688789/32606018697850935*c_1001_2^6 - 1907955326292653039/130424074791403740*c_1001_2^5 + 459771247354379389/26084814958280748*c_1001_2^4 + 63935990315962391/13042407479140374*c_1001_2^3 - 4097402082965700409/521696299165614960*c_1001_2^2 - 4499786864526721/10868672899283645*c_1001_2 + 79897918335671933/32606018697850935, c_1001_2^13 + c_1001_2^12 - 5*c_1001_2^11 - 9/2*c_1001_2^10 + 81/4*c_1001_2^9 + 33/2*c_1001_2^8 - 69/2*c_1001_2^7 - 183/8*c_1001_2^6 + 417/8*c_1001_2^5 - 25/4*c_1001_2^4 - 641/32*c_1001_2^3 + 25/4*c_1001_2^2 + 11/2*c_1001_2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB