Magma V2.19-8 Wed Aug 21 2013 00:57:05 on localhost [Seed = 3970627135] Type ? for help. Type -D to quit. Loading file "L13n3742__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3742 geometric_solution 12.32611840 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 5 -6 1 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664679375068 0.558885154202 0 2 6 5 0132 1230 0132 0132 1 1 1 1 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 -5 5 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 -0.034022102448 1.194797817362 4 0 1 7 1230 0132 3012 0132 1 1 1 1 0 -1 0 1 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 -5 0 5 0 0 5 -5 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906101294918 0.711412007381 6 8 9 0 2310 0132 0132 0132 1 1 1 1 0 -1 0 1 0 0 0 0 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 -6 0 6 0 0 0 0 0 6 0 -6 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558405874094 0.725627360304 10 2 0 6 0132 3012 0132 2031 1 1 1 1 0 1 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 6 -1 -5 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596219991900 0.682431018637 10 6 1 8 3012 3012 0132 2310 1 1 1 1 0 1 0 -1 1 0 0 -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 6 0 -6 6 0 0 -6 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265001413886 0.637715034083 5 4 3 1 1230 1302 3201 0132 1 1 1 1 0 0 1 -1 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 5 -5 0 0 0 0 -5 5 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.082024633452 0.632765489209 11 11 2 9 0132 1230 0132 0132 1 1 0 1 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 0 0 0 0 0 5 -5 0 -5 0 5 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 0.485176950844 0.964003817184 5 3 11 10 3201 0132 1230 3201 1 1 1 1 0 1 0 -1 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 6 0 -6 0 0 -5 5 6 0 0 -6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.301389460915 1.614456650462 12 12 7 3 0132 1302 0132 0132 1 1 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712596492071 0.782628327203 4 8 12 5 0132 2310 0321 1230 1 1 1 1 0 1 0 -1 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 6 0 -6 0 0 0 0 0 -5 0 5 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232291918872 0.993569101287 7 12 7 8 0132 0132 3012 3012 1 1 1 0 0 0 0 0 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 0 0 0 5 0 -5 0 0 -5 0 5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583431839079 0.827684201704 9 11 10 9 0132 0132 0321 2031 1 1 0 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413466050814 1.125909165255 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0101_0'], 's_0_10' : 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_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : negation(d['c_1001_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_10'], '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' : 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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0011_5'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_8, c_1001_0, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 764530570532900111883409560444950/108142074826746821624288321073*c_\ 1001_10^8 + 445707331547206669968183665739143/360473582755822738747\ 62773691*c_1001_10^7 - 6992672115177735043689278318975908/360473582\ 75582273874762773691*c_1001_10^6 + 27438020530257685930660803201846823/108142074826746821624288321073*\ c_1001_10^5 + 151629337562659491988307646028226377/3604735827558227\ 3874762773691*c_1001_10^4 - 2113449304184262126477240134943585076/1\ 08142074826746821624288321073*c_1001_10^3 + 2728617248928865894606833047089093405/10814207482674682162428832107\ 3*c_1001_10^2 - 623870518838163813774660651438618766/10814207482674\ 6821624288321073*c_1001_10 + 386749705577616850474744873132475131/1\ 08142074826746821624288321073, c_0011_0 - 1, c_0011_10 + 8061984513271/3791801598247017*c_1001_10^8 + 8568685539349/1263933866082339*c_1001_10^7 - 58028939661017/1263933866082339*c_1001_10^6 + 80242115583353/3791801598247017*c_1001_10^5 + 1577153348962556/1263933866082339*c_1001_10^4 - 15622585791043490/3791801598247017*c_1001_10^3 + 12120852039278018/3791801598247017*c_1001_10^2 - 435496236650906/3791801598247017*c_1001_10 + 415467331007831/3791801598247017, c_0011_11 + 1, c_0011_3 - 292585664443/140437096231371*c_1001_10^8 - 212167632428/46812365410457*c_1001_10^7 + 2502561435223/46812365410457*c_1001_10^6 - 8118987532556/140437096231371*c_1001_10^5 - 57107670354642/46812365410457*c_1001_10^4 + 740245876513205/140437096231371*c_1001_10^3 - 895977757907630/140437096231371*c_1001_10^2 + 216472208816612/140437096231371*c_1001_10 + 110884824719785/140437096231371, c_0011_5 + 171327851629/421311288694113*c_1001_10^8 - 9866063618/140437096231371*c_1001_10^7 - 1619821304390/140437096231371*c_1001_10^6 + 18381478974326/421311288694113*c_1001_10^5 + 30432684878246/140437096231371*c_1001_10^4 - 682688523928430/421311288694113*c_1001_10^3 + 1723590445912343/421311288694113*c_1001_10^2 - 1074085244199080/421311288694113*c_1001_10 - 173344975399537/421311288694113, c_0011_6 + 1642561212100/3791801598247017*c_1001_10^8 - 695172107096/1263933866082339*c_1001_10^7 - 23212295933489/1263933866082339*c_1001_10^6 + 133104840787685/3791801598247017*c_1001_10^5 + 368736995464994/1263933866082339*c_1001_10^4 - 7388460218934482/3791801598247017*c_1001_10^3 + 10271383354455212/3791801598247017*c_1001_10^2 + 5946183181831327/3791801598247017*c_1001_10 + 206922560178803/3791801598247017, c_0101_0 - 648560695897/1263933866082339*c_1001_10^8 + 880400763272/421311288694113*c_1001_10^7 + 11132359389002/421311288694113*c_1001_10^6 - 91093269401366/1263933866082339*c_1001_10^5 - 136421493971396/421311288694113*c_1001_10^4 + 4045408938030428/1263933866082339*c_1001_10^3 - 7492922435749127/1263933866082339*c_1001_10^2 + 836077097175521/1263933866082339*c_1001_10 + 675858815757910/1263933866082339, c_0101_10 + 126495063625/46812365410457*c_1001_10^8 + 379643131775/46812365410457*c_1001_10^7 - 2896049601006/46812365410457*c_1001_10^6 + 1480069756626/46812365410457*c_1001_10^5 + 76001906982893/46812365410457*c_1001_10^4 - 259015521080595/46812365410457*c_1001_10^3 + 179697574874201/46812365410457*c_1001_10^2 + 42519554106901/46812365410457*c_1001_10 - 7760148085480/46812365410457, c_0101_11 - 73695461828143/34126214384223153*c_1001_10^8 - 47344636501624/11375404794741051*c_1001_10^7 + 669554255753981/11375404794741051*c_1001_10^6 - 2229019475212334/34126214384223153*c_1001_10^5 - 14796462410904773/11375404794741051*c_1001_10^4 + 196082231698908176/34126214384223153*c_1001_10^3 - 220169357717583278/34126214384223153*c_1001_10^2 + 7891369982325506/34126214384223153*c_1001_10 - 15317503320249878/34126214384223153, c_0101_8 + 4255956757939/1263933866082339*c_1001_10^8 + 3118308457276/421311288694113*c_1001_10^7 - 36402611867630/421311288694113*c_1001_10^6 + 121148601123458/1263933866082339*c_1001_10^5 + 850473762115115/421311288694113*c_1001_10^4 - 10641678897769853/1263933866082339*c_1001_10^3 + 12234552874328369/1263933866082339*c_1001_10^2 - 1323936301282688/1263933866082339*c_1001_10 - 895075822257322/1263933866082339, c_1001_0 + 2184115640354/3791801598247017*c_1001_10^8 + 1681679018576/1263933866082339*c_1001_10^7 - 20164399566145/1263933866082339*c_1001_10^6 + 39643534703353/3791801598247017*c_1001_10^5 + 474898139575555/1263933866082339*c_1001_10^4 - 5357671416484705/3791801598247017*c_1001_10^3 + 2434651525532263/3791801598247017*c_1001_10^2 + 7671381717556904/3791801598247017*c_1001_10 - 1044039325931711/3791801598247017, c_1001_1 - 8138246492624/3791801598247017*c_1001_10^8 - 10051407383948/1263933866082339*c_1001_10^7 + 54336480150160/1263933866082339*c_1001_10^6 + 14423610121733/3791801598247017*c_1001_10^5 - 1607540757236701/1263933866082339*c_1001_10^4 + 13208083268249956/3791801598247017*c_1001_10^3 - 4147283681790892/3791801598247017*c_1001_10^2 - 4334863371034943/3791801598247017*c_1001_10 - 1781448452154841/3791801598247017, c_1001_10^9 + 2*c_1001_10^8 - 27*c_1001_10^7 + 29*c_1001_10^6 + 604*c_1001_10^5 - 2615*c_1001_10^4 + 2875*c_1001_10^3 + 80*c_1001_10^2 + 301*c_1001_10 + 127 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 8.260 Total time: 8.470 seconds, Total memory usage: 64.12MB