Magma V2.19-8 Tue Aug 20 2013 23:42:37 on localhost [Seed = 3667705786] Type ? for help. Type -D to quit. Loading file "L13n4517__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4517 geometric_solution 10.40037043 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 0 1 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 -1 1 -2 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 0.380606583021 0.732353400957 0 5 7 6 0132 0132 0132 0132 1 0 1 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 0 0 0 2 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 0.350267201566 0.692139079199 7 0 8 6 2031 0132 0132 2031 1 1 1 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 1 0 -1 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 0.311032614025 1.307525843359 9 8 5 0 0132 3012 0132 0132 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 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 0.673261245201 0.796045209940 9 5 0 10 3201 3201 0132 0132 1 0 1 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 1 -1 0 1 0 -1 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 0.429958755976 0.445549729458 7 1 4 3 0213 0132 2310 0132 1 0 0 1 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 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 0.417912892783 1.150222551816 10 2 1 9 0132 1302 0132 3201 1 0 1 1 0 0 0 0 0 0 -1 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 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 0.497510027714 0.717961788019 5 8 2 1 0213 3120 1302 0132 1 0 0 1 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 1 -1 0 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 0.956855272149 1.052177490941 3 7 10 2 1230 3120 0213 0132 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 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 0.311032614025 1.307525843359 3 6 10 4 0132 2310 0132 2310 1 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014362445919 0.872126008665 6 8 4 9 0132 0213 0132 0132 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 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 1.311032614025 1.307525843359 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_2']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0110_2'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0110_2']), 'c_1010_10' : d['c_1001_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_1001_9'], 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_1001_9']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_7']), 'c_1100_8' : d['c_1001_9'], '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' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], '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_10']), '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_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0011_3'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 794478911076646664965461/75874230065126411776*c_1001_9^9 - 50269589068538506687097879/1403673256204838617856*c_1001_9^8 + 174509554568527154972013393/2807346512409677235712*c_1001_9^7 - 48424170757359931136574981/701836628102419308928*c_1001_9^6 + 80959015284401771355011689/1403673256204838617856*c_1001_9^5 - 12950123964681269911588159/350918314051209654464*c_1001_9^4 + 48714220406988916364782913/2807346512409677235712*c_1001_9^3 - 9064285213739845677629619/1403673256204838617856*c_1001_9^2 + 1186375149399551806802859/701836628102419308928*c_1001_9 - 92384980880421759269673/350918314051209654464, c_0011_0 - 1, c_0011_10 - 32084628064085217/367721726044541*c_1001_9^9 + 441242240472754617/1470886904178164*c_1001_9^8 - 377062678691941323/735443452089082*c_1001_9^7 + 815736633779905961/1470886904178164*c_1001_9^6 - 164788166869977427/367721726044541*c_1001_9^5 + 206324478902446085/735443452089082*c_1001_9^4 - 46979634112675794/367721726044541*c_1001_9^3 + 69415289785874865/1470886904178164*c_1001_9^2 - 10021351187943027/735443452089082*c_1001_9 + 741842180242345/367721726044541, c_0011_3 - 707803264519967107/11767095233425312*c_1001_9^9 + 267377451174644797/1470886904178164*c_1001_9^8 - 3199740029535450347/11767095233425312*c_1001_9^7 + 1486205866658344157/5883547616712656*c_1001_9^6 - 1046281985783436533/5883547616712656*c_1001_9^5 + 270107373593515635/2941773808356328*c_1001_9^4 - 301915567459479491/11767095233425312*c_1001_9^3 + 4866767688997927/735443452089082*c_1001_9^2 + 3226348665387767/2941773808356328*c_1001_9 - 423324612365372/367721726044541, c_0011_4 - 1069157269925163821/11767095233425312*c_1001_9^9 + 974084963224470087/2941773808356328*c_1001_9^8 - 7031558767277122725/11767095233425312*c_1001_9^7 + 4012944791456574069/5883547616712656*c_1001_9^6 - 3376210459945837175/5883547616712656*c_1001_9^5 + 1103236522543993363/2941773808356328*c_1001_9^4 - 2170320420318043805/11767095233425312*c_1001_9^3 + 211480101599954709/2941773808356328*c_1001_9^2 - 64376123401662119/2941773808356328*c_1001_9 + 3486328053677041/735443452089082, c_0011_7 + 101044971555969431/1470886904178164*c_1001_9^9 - 1111154289092465045/5883547616712656*c_1001_9^8 + 400527027498065541/1470886904178164*c_1001_9^7 - 1475813341847355925/5883547616712656*c_1001_9^6 + 556388432741439215/2941773808356328*c_1001_9^5 - 299224674917875587/2941773808356328*c_1001_9^4 + 13609349411488588/367721726044541*c_1001_9^3 - 95071193595058357/5883547616712656*c_1001_9^2 + 641690275530134/367721726044541*c_1001_9 - 46196288276071/1470886904178164, c_0011_8 + 67601025394047531/367721726044541*c_1001_9^9 - 228572241760875548/367721726044541*c_1001_9^8 + 771505880043704589/735443452089082*c_1001_9^7 - 415025433388633990/367721726044541*c_1001_9^6 + 677133445214571097/735443452089082*c_1001_9^5 - 214880876526032569/367721726044541*c_1001_9^4 + 99198193775978084/367721726044541*c_1001_9^3 - 38356590770747146/367721726044541*c_1001_9^2 + 23129883164522325/735443452089082*c_1001_9 - 1819301144219096/367721726044541, c_0101_0 + 1070861435460294395/5883547616712656*c_1001_9^9 - 3845792920900917059/5883547616712656*c_1001_9^8 + 6811599974162370851/5883547616712656*c_1001_9^7 - 7675377333880987869/5883547616712656*c_1001_9^6 + 1612570263909632807/1470886904178164*c_1001_9^5 - 2109667186165683467/2941773808356328*c_1001_9^4 + 2029836036312162663/5883547616712656*c_1001_9^3 - 776126850731278587/5883547616712656*c_1001_9^2 + 57801666773650379/1470886904178164*c_1001_9 - 9686313509999529/1470886904178164, c_0101_1 - 1, c_0101_10 + 1583428011203264101/5883547616712656*c_1001_9^9 - 5238858849200990553/5883547616712656*c_1001_9^8 + 8640887446674717877/5883547616712656*c_1001_9^7 - 9013600072587305023/5883547616712656*c_1001_9^6 + 1784232996800182217/1470886904178164*c_1001_9^5 - 2189009717282642385/2941773808356328*c_1001_9^4 + 1929669198529761529/5883547616712656*c_1001_9^3 - 726482335576285953/5883547616712656*c_1001_9^2 + 51792382565334519/1470886904178164*c_1001_9 - 7285486002347763/1470886904178164, c_0110_2 + 17278478853520185/735443452089082*c_1001_9^9 - 256129096317258787/2941773808356328*c_1001_9^8 + 114669182583096829/735443452089082*c_1001_9^7 - 513371206062164731/2941773808356328*c_1001_9^6 + 212682223527500989/1470886904178164*c_1001_9^5 - 138625967541029841/1470886904178164*c_1001_9^4 + 16701893607303985/367721726044541*c_1001_9^3 - 46713986787553043/2941773808356328*c_1001_9^2 + 1642185893819651/367721726044541*c_1001_9 - 327689892023083/735443452089082, c_1001_9^10 - 5128/1369*c_1001_9^9 + 9565/1369*c_1001_9^8 - 11422/1369*c_1001_9^7 + 10154/1369*c_1001_9^6 - 7052/1369*c_1001_9^5 + 3745/1369*c_1001_9^4 - 1584/1369*c_1001_9^3 + 536/1369*c_1001_9^2 - 128/1369*c_1001_9 + 16/1369 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB