Magma V2.19-8 Tue Aug 20 2013 17:57:19 on localhost [Seed = 2429625491] Type ? for help. Type -D to quit. Loading file "9^2_35__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_35 geometric_solution 11.37352243 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3120 0132 1 0 1 1 0 0 0 0 -1 0 1 0 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 1 -1 0 -3 0 2 1 6 -6 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426282959591 0.828049060196 0 4 0 5 0132 0132 3120 0132 1 0 1 1 0 0 -1 1 1 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 -6 6 3 0 -2 -1 0 0 0 0 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426282959591 0.828049060196 6 0 8 7 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 -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 -1 1 0 0 0 0 0 -6 6 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852948295391 0.709175835971 5 9 0 5 0132 0132 0132 2103 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 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 0.508540920599 0.954652818430 10 1 11 11 0132 0132 0132 2031 1 1 1 1 0 0 -1 1 -1 0 0 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 -5 0 0 5 5 -5 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426282959591 0.828049060196 3 11 1 3 0132 1230 0132 2103 1 0 1 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 6 -6 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 0.508540920599 0.954652818430 2 10 8 10 0132 0132 0321 0213 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 1 -1 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 -5 0 5 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429865668778 0.964978705718 8 11 2 9 0321 3012 0132 0132 1 1 1 1 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.231356835275 0.821419157561 7 9 6 2 0321 0321 0321 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 0 1 -1 0 0 0 0 -6 0 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.464440211358 0.500279174569 10 3 7 8 2031 0132 0132 0321 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 -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 0.453842949094 0.768150166782 4 6 9 6 0132 0132 1302 0213 1 1 1 1 0 0 0 0 1 0 0 -1 -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 1 -1 5 0 0 -5 -5 6 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429865668778 0.964978705718 7 4 5 4 1230 1302 3012 0132 1 1 1 1 0 -1 0 1 1 0 -1 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 0 5 6 0 -6 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 0.508540920599 0.954652818430 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_1001_6'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], '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_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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_6'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_1001_4']), 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_1001_6'], 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_1001_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_4']), 'c_1100_10' : negation(d['c_0011_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_1001_4'], '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' : 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' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_11' : d['c_0011_7'], 'c_0110_10' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_1'], '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' : negation(d['c_0011_8']), 'c_0101_8' : negation(d['c_0101_6']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : negation(d['c_0011_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_2, c_1001_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 142926415138374379240/3218525520088027*c_1001_6^10 - 1854073157794379482432/3218525520088027*c_1001_6^9 - 2512592468904745002635/3218525520088027*c_1001_6^8 - 1208371367444456830034/3218525520088027*c_1001_6^7 + 48307363247473725791/3218525520088027*c_1001_6^6 + 240054990486879094490/3218525520088027*c_1001_6^5 + 3116619962902683298/3218525520088027*c_1001_6^4 - 51381269511707584322/3218525520088027*c_1001_6^3 - 9793200173607384981/3218525520088027*c_1001_6^2 + 5997435749433675276/3218525520088027*c_1001_6 + 2732633017203067462/3218525520088027, c_0011_0 - 1, c_0011_11 + 239963277381710335/3218525520088027*c_1001_6^10 + 2918373484117659428/3218525520088027*c_1001_6^9 + 1803820551485814865/3218525520088027*c_1001_6^8 - 42242681131839929/3218525520088027*c_1001_6^7 - 526188771306304547/3218525520088027*c_1001_6^6 - 99823326669083170/3218525520088027*c_1001_6^5 + 87515572934473474/3218525520088027*c_1001_6^4 + 13812207702814234/3218525520088027*c_1001_6^3 - 5088510444937076/3218525520088027*c_1001_6^2 - 4814526014356945/3218525520088027*c_1001_6 + 2593142534062487/3218525520088027, c_0011_3 - 239963277381710335/3218525520088027*c_1001_6^10 - 2918373484117659428/3218525520088027*c_1001_6^9 - 1803820551485814865/3218525520088027*c_1001_6^8 + 42242681131839929/3218525520088027*c_1001_6^7 + 526188771306304547/3218525520088027*c_1001_6^6 + 99823326669083170/3218525520088027*c_1001_6^5 - 87515572934473474/3218525520088027*c_1001_6^4 - 13812207702814234/3218525520088027*c_1001_6^3 + 5088510444937076/3218525520088027*c_1001_6^2 + 4814526014356945/3218525520088027*c_1001_6 - 2593142534062487/3218525520088027, c_0011_7 - 54715856597935955/3218525520088027*c_1001_6^10 - 628562188968280344/3218525520088027*c_1001_6^9 + 35281314750197310/3218525520088027*c_1001_6^8 + 281717738010714817/3218525520088027*c_1001_6^7 + 314198961489330129/3218525520088027*c_1001_6^6 - 1613121328203388/3218525520088027*c_1001_6^5 - 81127077117567069/3218525520088027*c_1001_6^4 - 11733093887014575/3218525520088027*c_1001_6^3 + 9745925209906621/3218525520088027*c_1001_6^2 + 5306373195235891/3218525520088027*c_1001_6 - 4733004822084641/3218525520088027, c_0011_8 + 221734426655798100/3218525520088027*c_1001_6^10 + 2773431398798166165/3218525520088027*c_1001_6^9 + 2615110332762696788/3218525520088027*c_1001_6^8 + 721697755062279758/3218525520088027*c_1001_6^7 - 345156746828656888/3218525520088027*c_1001_6^6 - 152831200744077087/3218525520088027*c_1001_6^5 + 72831169000744282/3218525520088027*c_1001_6^4 + 33465427395548511/3218525520088027*c_1001_6^3 - 8668584819407732/3218525520088027*c_1001_6^2 - 8888638275408201/3218525520088027*c_1001_6 + 3897658165725/3218525520088027, c_0101_0 - 1, c_0101_1 + 47353450782613240/3218525520088027*c_1001_6^10 + 637220061579131107/3218525520088027*c_1001_6^9 + 1112331164521378880/3218525520088027*c_1001_6^8 + 606391026234061866/3218525520088027*c_1001_6^7 + 253332106370704297/3218525520088027*c_1001_6^6 - 101755197779472639/3218525520088027*c_1001_6^5 - 84809426686421926/3218525520088027*c_1001_6^4 - 17104636927298383/3218525520088027*c_1001_6^3 + 11137091542882124/3218525520088027*c_1001_6^2 + 4097279030429361/3218525520088027*c_1001_6 - 5519676129790668/3218525520088027, c_0101_11 - 1, c_0101_6 + 10568142527232545/3218525520088027*c_1001_6^10 + 166957065086011011/3218525520088027*c_1001_6^9 + 533545649591781994/3218525520088027*c_1001_6^8 + 138814782850137705/3218525520088027*c_1001_6^7 + 32441735367209504/3218525520088027*c_1001_6^6 + 30315703060264207/3218525520088027*c_1001_6^5 - 1998084299296617/3218525520088027*c_1001_6^4 - 4270461402918371/3218525520088027*c_1001_6^3 - 7030999850871058/3218525520088027*c_1001_6^2 + 3655559232546962/3218525520088027*c_1001_6 - 386817552166681/3218525520088027, c_1001_2 + 54715856597935955/3218525520088027*c_1001_6^10 + 628562188968280344/3218525520088027*c_1001_6^9 - 35281314750197310/3218525520088027*c_1001_6^8 - 281717738010714817/3218525520088027*c_1001_6^7 - 314198961489330129/3218525520088027*c_1001_6^6 + 1613121328203388/3218525520088027*c_1001_6^5 + 81127077117567069/3218525520088027*c_1001_6^4 + 11733093887014575/3218525520088027*c_1001_6^3 - 9745925209906621/3218525520088027*c_1001_6^2 - 5306373195235891/3218525520088027*c_1001_6 + 4733004822084641/3218525520088027, c_1001_4 + 102069307380549195/3218525520088027*c_1001_6^10 + 1265782250547411451/3218525520088027*c_1001_6^9 + 1077049849771181570/3218525520088027*c_1001_6^8 + 324673288223347049/3218525520088027*c_1001_6^7 - 60866855118625832/3218525520088027*c_1001_6^6 - 100142076451269251/3218525520088027*c_1001_6^5 - 3682349568854857/3218525520088027*c_1001_6^4 - 5371543040283808/3218525520088027*c_1001_6^3 + 1391166332975503/3218525520088027*c_1001_6^2 - 1209094164806530/3218525520088027*c_1001_6 - 786671307706027/3218525520088027, c_1001_6^11 + 1831/145*c_1001_6^10 + 1906/145*c_1001_6^9 + 413/145*c_1001_6^8 - 81/29*c_1001_6^7 - 216/145*c_1001_6^6 + 14/29*c_1001_6^5 + 51/145*c_1001_6^4 - 1/29*c_1001_6^3 - 9/145*c_1001_6^2 - 1/145*c_1001_6 + 1/145 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB