Magma V2.19-8 Wed Aug 21 2013 01:08:23 on localhost [Seed = 1663400483] Type ? for help. Type -D to quit. Loading file "L14n40724__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n40724 geometric_solution 12.17755534 oriented_manifold CS_known -0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 2 2 0 0 1 -1 0 0 -1 1 1 -1 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 -9 8 0 1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359595410324 0.838206191895 0 5 7 6 0132 0132 0132 0132 2 1 2 2 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 -1 0 1 0 0 0 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049748914643 1.017025255916 8 0 7 9 0132 0132 1302 0132 1 2 2 2 0 0 0 0 0 0 0 0 0 -1 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 8 0 -8 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379523227792 1.440603565833 10 10 11 0 0132 1302 0132 0132 1 1 2 0 0 1 0 -1 -1 0 0 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 0 0 0 0 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432258766292 1.007582310576 9 9 0 12 3012 0132 0132 0132 1 1 2 2 0 -1 1 0 1 0 -1 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 1 -1 0 0 0 0 9 0 0 -9 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390436098060 0.592260242645 8 1 7 9 1023 0132 0213 2310 2 2 2 2 0 0 0 0 0 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 1 0 -1 0 0 -8 8 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631642109238 0.443266963127 11 10 1 11 1023 3120 0132 3120 2 1 0 2 0 0 0 0 0 0 0 0 -1 -1 0 2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424462854443 0.753303156862 2 5 12 1 2031 0213 2103 0132 2 1 2 2 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194814197386 1.505329648062 2 5 8 8 0132 1023 2031 1302 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677397953267 0.646860840711 5 4 2 4 3201 0132 0132 1230 1 2 2 2 0 1 0 -1 -1 0 0 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 0 0 0 9 0 0 -9 1 -1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224112942908 1.176958429256 3 6 12 3 0132 3120 3012 2031 2 1 0 2 0 0 -1 1 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 9 -9 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 0.424462854443 0.753303156862 6 6 12 3 3120 1023 0132 0132 1 1 0 2 0 0 0 0 0 0 0 0 -2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432258766292 1.007582310576 7 10 4 11 2103 1230 0132 0132 1 1 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707528418346 1.073582184769 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : negation(d['1']), 's_2_11' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_12'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : negation(d['c_0101_8']), 'c_1100_8' : d['c_0101_8'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : negation(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' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), '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'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0011_7']), '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_8'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 281523055784010258752/1087322564889211*c_1100_0^10 + 19531645459263459616/155331794984173*c_1100_0^9 + 1525420269986876989276/1087322564889211*c_1100_0^8 - 86366453974428637968/155331794984173*c_1100_0^7 - 1836743634901521133397/621327179936692*c_1100_0^6 + 7814564660467487505427/8698580519113688*c_1100_0^5 + 208586026802820453400815/69588644152909504*c_1100_0^4 - 12534170435103936201375/19882469757974144*c_1100_0^3 - 1611795119118378066096923/1113418306446552064*c_1100_0^2 + 45194003995045014767167/278354576611638016*c_1100_0 + 2286244435878119394015/8698580519113688, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 82705224019247832064/212027900153396145*c_1100_0^10 - 1232560754660000256/10096566673971245*c_1100_0^9 - 29888937700740929728/14135193343559743*c_1100_0^8 + 15917682070644515072/30289700021913735*c_1100_0^7 + 26736275569262803372/6057940004382747*c_1100_0^6 - 175166794934708460514/212027900153396145*c_1100_0^5 - 3710533680001181296981/848111600613584580*c_1100_0^4 + 46434244608558831559/80772533391769960*c_1100_0^3 + 27595753556432564137721/13569785609817353280*c_1100_0^2 - 2656594302927866845/17397161038227376*c_1100_0 - 59304291224500760909/169622320122716916, c_0011_4 + 29544083779138620416/212027900153396145*c_1100_0^10 - 730391510614772224/10096566673971245*c_1100_0^9 - 9936783217269990336/14135193343559743*c_1100_0^8 + 8813252944309896448/30289700021913735*c_1100_0^7 + 8284932780092439260/6057940004382747*c_1100_0^6 - 88774288219068641066/212027900153396145*c_1100_0^5 - 1072822066947472939529/848111600613584580*c_1100_0^4 + 20694238783695266051/80772533391769960*c_1100_0^3 + 7456634805895956210109/13569785609817353280*c_1100_0^2 - 993677650926734929/17397161038227376*c_1100_0 - 14979181977236460493/169622320122716916, c_0011_7 - 2726585646840549376/212027900153396145*c_1100_0^10 + 387804502514120704/10096566673971245*c_1100_0^9 + 606845899926914304/14135193343559743*c_1100_0^8 - 4886691947693677568/30289700021913735*c_1100_0^7 - 292833195730382800/6057940004382747*c_1100_0^6 + 50929092061631429176/212027900153396145*c_1100_0^5 + 6787915582920282691/212027900153396145*c_1100_0^4 - 2946850422240111489/20193133347942490*c_1100_0^3 - 91452200177224563071/3392446402454338320*c_1100_0^2 + 127625970355625291/4349290259556844*c_1100_0 + 495968012969199326/42405580030679229, c_0101_0 - 1, c_0101_1 - 158698691139219456/1087322564889211*c_1100_0^10 + 7257536264337408/155331794984173*c_1100_0^9 + 855139524429046016/1087322564889211*c_1100_0^8 - 30850166838619136/155331794984173*c_1100_0^7 - 253421245624329520/155331794984173*c_1100_0^6 + 333439661986157096/1087322564889211*c_1100_0^5 + 1747766793526169289/1087322564889211*c_1100_0^4 - 64697691320920409/310663589968346*c_1100_0^3 - 12925682179723074429/17397161038227376*c_1100_0^2 + 236682139662716569/4349290259556844*c_1100_0 + 138335582731128301/1087322564889211, c_0101_11 - 438973642296958976/1087322564889211*c_1100_0^10 + 38108680479608832/155331794984173*c_1100_0^9 + 2186381265055763968/1087322564889211*c_1100_0^8 - 154464215293556736/155331794984173*c_1100_0^7 - 600659499914260640/155331794984173*c_1100_0^6 + 1565457958073822256/1087322564889211*c_1100_0^5 + 3863337040635021694/1087322564889211*c_1100_0^4 - 136642766461924127/155331794984173*c_1100_0^3 - 13512890252577004267/8698580519113688*c_1100_0^2 + 418763485340792633/2174645129778422*c_1100_0 + 281330086738906531/1087322564889211, c_0101_12 + 128966153160048640/1087322564889211*c_1100_0^10 - 12651983979814912/155331794984173*c_1100_0^9 - 634305158555499520/1087322564889211*c_1100_0^8 + 51541898050138112/155331794984173*c_1100_0^7 + 172036880477079360/155331794984173*c_1100_0^6 - 524365022335601760/1087322564889211*c_1100_0^5 - 1095106316198115996/1087322564889211*c_1100_0^4 + 45715500285249598/155331794984173*c_1100_0^3 + 1917927814703129843/4349290259556844*c_1100_0^2 - 69218790010101289/1087322564889211*c_1100_0 - 82387066607671415/1087322564889211, c_0101_3 - 526607140516390912/1087322564889211*c_1100_0^10 + 23384540802737152/155331794984173*c_1100_0^9 + 2846471144241799040/1087322564889211*c_1100_0^8 - 99558022971294720/155331794984173*c_1100_0^7 - 846213886933656936/155331794984173*c_1100_0^6 + 1077622949423402572/1087322564889211*c_1100_0^5 + 11708723888614806167/2174645129778422*c_1100_0^4 - 418013541513631599/621327179936692*c_1100_0^3 - 86846102894865360803/34794322076454752*c_1100_0^2 + 749033709137788673/4349290259556844*c_1100_0 + 465832464788971020/1087322564889211, c_0101_8 + 6214231118392623104/212027900153396145*c_1100_0^10 + 128496817654923264/10096566673971245*c_1100_0^9 - 2719853010987649024/14135193343559743*c_1100_0^8 - 1619470397418564608/30289700021913735*c_1100_0^7 + 2855208329019182720/6057940004382747*c_1100_0^6 + 16808554381123624576/212027900153396145*c_1100_0^5 - 113287887942981428024/212027900153396145*c_1100_0^4 - 477991742223900672/10096566673971245*c_1100_0^3 + 117386501401077621803/424055800306792290*c_1100_0^2 + 40538674259845859/4349290259556844*c_1100_0 - 2187916788238411747/42405580030679229, c_1001_0 + 438973642296958976/1087322564889211*c_1100_0^10 - 38108680479608832/155331794984173*c_1100_0^9 - 2186381265055763968/1087322564889211*c_1100_0^8 + 154464215293556736/155331794984173*c_1100_0^7 + 600659499914260640/155331794984173*c_1100_0^6 - 1565457958073822256/1087322564889211*c_1100_0^5 - 3863337040635021694/1087322564889211*c_1100_0^4 + 136642766461924127/155331794984173*c_1100_0^3 + 13512890252577004267/8698580519113688*c_1100_0^2 - 418763485340792633/2174645129778422*c_1100_0 - 281330086738906531/1087322564889211, c_1100_0^11 - 3/2*c_1100_0^10 - 75/16*c_1100_0^9 + 29/4*c_1100_0^8 + 2135/256*c_1100_0^7 - 6887/512*c_1100_0^6 - 28291/4096*c_1100_0^5 + 97269/8192*c_1100_0^4 + 169151/65536*c_1100_0^3 - 80925/16384*c_1100_0^2 - 1315/4096*c_1100_0 + 195/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB