Magma V2.19-8 Tue Aug 20 2013 23:41:05 on localhost [Seed = 492534175] Type ? for help. Type -D to quit. Loading file "L12a1275__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1275 geometric_solution 8.93221585 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 -1 0 0 1 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.746641530027 1.152044346871 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 0 0 1 0 0 -1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.458058744401 0.997395809343 5 0 5 8 0132 0132 3120 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 1 0 -1 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 0.392557653888 0.713845668556 3 3 8 0 1302 2031 2310 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.162846585946 1.964878112757 8 6 0 8 3012 3120 0132 2310 1 1 0 1 0 1 0 -1 0 0 0 0 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 -5 -1 6 1 0 -1 0 -5 -1 0 6 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196308867160 0.575252798788 2 1 2 9 0132 0132 3120 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 -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 0.392557653888 0.713845668556 9 4 1 9 3012 3120 0132 2310 1 1 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 -1 0 1 0 0 1 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212202253340 0.500338953019 10 10 9 1 0132 3201 2310 0132 1 1 1 1 0 1 -1 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 -5 5 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.120419368806 2.874012342809 4 3 2 4 3201 3201 0132 1230 1 0 1 1 0 0 0 0 1 0 0 -1 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 1 -1 -6 0 1 5 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196308867160 0.575252798788 6 7 5 6 3201 3201 0132 1230 1 0 1 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 -1 1 1 0 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212202253340 0.500338953019 7 10 7 10 0132 2310 2310 3201 1 1 1 1 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 -5 5 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.321273026992 0.470069960217 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0101_7']), '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_0'], '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' : negation(d['c_0101_2']), 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0101_0'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : 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_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_2'])})} 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_8, c_0011_9, c_0101_0, c_0101_2, c_0101_5, c_0101_7, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 150908021090724916155/422953351077128209*c_1001_2^13 - 1721470205701919226802/422953351077128209*c_1001_2^12 - 9786798303856959255608/422953351077128209*c_1001_2^11 - 39959150280161366010131/422953351077128209*c_1001_2^10 - 133253347683698372039525/422953351077128209*c_1001_2^9 - 357534229135007125064043/422953351077128209*c_1001_2^8 - 731686472565438765032453/422953351077128209*c_1001_2^7 - 1099692743109680682167051/422953351077128209*c_1001_2^6 - 90687821414967339802175/32534873159779093*c_1001_2^5 - 862120636914249666420673/422953351077128209*c_1001_2^4 - 16813107248173468375240/18389276133788183*c_1001_2^3 - 5427523028615646973673/32534873159779093*c_1001_2^2 + 17437745667722217109180/422953351077128209*c_1001_2 + 8531986179005640578023/422953351077128209, c_0011_0 - 1, c_0011_10 + 333298949605/12277352323*c_1001_2^13 + 3301404726817/12277352323*c_1001_2^12 + 16651550281762/12277352323*c_1001_2^11 + 63198165056898/12277352323*c_1001_2^10 + 199166600107005/12277352323*c_1001_2^9 + 489718653120160/12277352323*c_1001_2^8 + 878034157317396/12277352323*c_1001_2^7 + 1104324592910097/12277352323*c_1001_2^6 + 935665702210165/12277352323*c_1001_2^5 + 487692430093810/12277352323*c_1001_2^4 + 112869535618016/12277352323*c_1001_2^3 - 17947218424977/12277352323*c_1001_2^2 - 12507249281260/12277352323*c_1001_2 + 60783812192/12277352323, c_0011_3 - 216565654180/12277352323*c_1001_2^13 - 2119281831032/12277352323*c_1001_2^12 - 10590009762876/12277352323*c_1001_2^11 - 40019621171979/12277352323*c_1001_2^10 - 125664217689091/12277352323*c_1001_2^9 - 306928176703845/12277352323*c_1001_2^8 - 545238216975373/12277352323*c_1001_2^7 - 678570388318238/12277352323*c_1001_2^6 - 568436424352718/12277352323*c_1001_2^5 - 292493416245304/12277352323*c_1001_2^4 - 66343655103766/12277352323*c_1001_2^3 + 10942827499739/12277352323*c_1001_2^2 + 7345792630892/12277352323*c_1001_2 - 36952605246/12277352323, c_0011_4 + 855371685710/12277352323*c_1001_2^13 + 8604509434899/12277352323*c_1001_2^12 + 43866897247865/12277352323*c_1001_2^11 + 167268734402142/12277352323*c_1001_2^10 + 529302209104263/12277352323*c_1001_2^9 + 1311062787763259/12277352323*c_1001_2^8 + 2373545117900872/12277352323*c_1001_2^7 + 3017085637082425/12277352323*c_1001_2^6 + 2584940229507761/12277352323*c_1001_2^5 + 1364634730255072/12277352323*c_1001_2^4 + 322975989387037/12277352323*c_1001_2^3 - 48242656094306/12277352323*c_1001_2^2 - 35308478792536/12277352323*c_1001_2 + 123331259045/12277352323, c_0011_8 - 877687579640/12277352323*c_1001_2^13 - 8832695824141/12277352323*c_1001_2^12 - 45072863531895/12277352323*c_1001_2^11 - 172003903753562/12277352323*c_1001_2^10 - 544553708791987/12277352323*c_1001_2^9 - 1350008038896963/12277352323*c_1001_2^8 - 2448043161672655/12277352323*c_1001_2^7 - 3119277287231086/12277352323*c_1001_2^6 - 2681062229632773/12277352323*c_1001_2^5 - 1421688120344694/12277352323*c_1001_2^4 - 339501177079426/12277352323*c_1001_2^3 + 49448056603518/12277352323*c_1001_2^2 + 37046668032717/12277352323*c_1001_2 - 123612743809/12277352323, c_0011_9 - 837941171720/12277352323*c_1001_2^13 - 8436944073213/12277352323*c_1001_2^12 - 43060519205393/12277352323*c_1001_2^11 - 164323732809822/12277352323*c_1001_2^10 - 520264859378128/12277352323*c_1001_2^9 - 1289886036954905/12277352323*c_1001_2^8 - 2339009175762776/12277352323*c_1001_2^7 - 2980032249161542/12277352323*c_1001_2^6 - 2560869044655888/12277352323*c_1001_2^5 - 1357564168227505/12277352323*c_1001_2^4 - 324064983159058/12277352323*c_1001_2^3 + 47171447633711/12277352323*c_1001_2^2 + 35316075827342/12277352323*c_1001_2 - 116078866855/12277352323, c_0101_0 + 586331483155/12277352323*c_1001_2^13 + 5876017272897/12277352323*c_1001_2^12 + 29877147143036/12277352323*c_1001_2^11 + 113794871789463/12277352323*c_1001_2^10 + 359740702572513/12277352323*c_1001_2^9 + 889484755610434/12277352323*c_1001_2^8 + 1606606888910034/12277352323*c_1001_2^7 + 2037257727346190/12277352323*c_1001_2^6 + 1741332633877246/12277352323*c_1001_2^5 + 917152283849215/12277352323*c_1001_2^4 + 216486676517007/12277352323*c_1001_2^3 - 32407481250864/12277352323*c_1001_2^2 - 23646703817880/12277352323*c_1001_2 + 75869665712/12277352323, c_0101_2 - 1, c_0101_5 + 408562343965/12277352323*c_1001_2^13 + 4032482723056/12277352323*c_1001_2^12 + 20323075334844/12277352323*c_1001_2^11 + 77192511115419/12277352323*c_1001_2^10 + 243303280027318/12277352323*c_1001_2^9 + 598344707855125/12277352323*c_1001_2^8 + 1074620234295420/12277352323*c_1001_2^7 + 1356845074389404/12277352323*c_1001_2^6 + 1157172405503661/12277352323*c_1001_2^5 + 609733528247561/12277352323*c_1001_2^4 + 144836630620637/12277352323*c_1001_2^3 - 21198795780678/12277352323*c_1001_2^2 - 15905308369867/12277352323*c_1001_2 + 44759863547/12277352323, c_0101_7 + 115641902740/12277352323*c_1001_2^13 + 1136079778771/12277352323*c_1001_2^12 + 5691593661176/12277352323*c_1001_2^11 + 21536226059102/12277352323*c_1001_2^10 + 67706565858118/12277352323*c_1001_2^9 + 165701250132689/12277352323*c_1001_2^8 + 295210043608915/12277352323*c_1001_2^7 + 368792320914267/12277352323*c_1001_2^6 + 310474901682345/12277352323*c_1001_2^5 + 160925522822831/12277352323*c_1001_2^4 + 37094595852740/12277352323*c_1001_2^3 - 5878947231756/12277352323*c_1001_2^2 - 4132446198136/12277352323*c_1001_2 + 891849074/12277352323, c_1001_2^14 + 57/5*c_1001_2^13 + 324/5*c_1001_2^12 + 1323/5*c_1001_2^11 + 4412/5*c_1001_2^10 + 11838/5*c_1001_2^9 + 4846*c_1001_2^8 + 36429/5*c_1001_2^7 + 39071/5*c_1001_2^6 + 5716*c_1001_2^5 + 12814/5*c_1001_2^4 + 465*c_1001_2^3 - 588/5*c_1001_2^2 - 284/5*c_1001_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB