Magma V2.19-8 Tue Aug 20 2013 16:16:40 on localhost [Seed = 3802365480] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0959 geometric_solution 4.85466334 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 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 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 0.254008305280 0.456921706559 0 3 2 4 0132 0132 1230 0132 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 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 0 0 0 1.070580038767 1.671882950161 3 0 4 1 2310 0132 2310 3012 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 -1 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 0 0 1.070580038767 1.671882950161 5 1 2 5 0132 0132 3201 3201 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 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 0.099749628413 0.360877938347 4 2 1 4 3201 3201 0132 2310 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 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 0 0 0 0.462177725302 0.485152382642 3 3 6 6 0132 2310 2310 0132 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 0 0 0 2.827701375854 1.997616951311 6 5 5 6 3201 3201 0132 2310 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 0 0 0 -0.512225047764 0.162679856338 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(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_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_0_6' : d['1'], 's_0_4' : negation(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_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 10005765517848100719/240942636423335440*c_0101_5^8 - 1016295268094001833/120471318211667720*c_0101_5^7 - 12539654982442474537/180706977317501580*c_0101_5^6 + 1153089163707275357/60235659105833860*c_0101_5^5 + 807356223289921904/15058914776458465*c_0101_5^4 - 3452354700269563793/722827909270006320*c_0101_5^3 + 175702631346092491/36141395463500316*c_0101_5^2 + 72836411162514389/240942636423335440*c_0101_5 - 242182098068828009/722827909270006320, c_0011_0 - 1, c_0011_4 + 40798806515343/106848175797488*c_0101_5^8 - 4845611678703/26712043949372*c_0101_5^7 - 27484026013261/53424087898744*c_0101_5^6 + 46772508928167/53424087898744*c_0101_5^5 + 20562271020681/53424087898744*c_0101_5^4 - 140841267483273/106848175797488*c_0101_5^3 + 1462486374093/13356021974686*c_0101_5^2 + 59823757313201/106848175797488*c_0101_5 + 16559972585787/106848175797488, c_0011_6 - 40062249289719/53424087898744*c_0101_5^8 + 733805257029/26712043949372*c_0101_5^7 + 19343315435983/13356021974686*c_0101_5^6 - 1053504361645/13356021974686*c_0101_5^5 - 7904504684562/6678010987343*c_0101_5^4 - 6293507507581/53424087898744*c_0101_5^3 - 10274013392447/13356021974686*c_0101_5^2 + 1884049391243/53424087898744*c_0101_5 + 5732340337979/53424087898744, c_0101_0 - 836188585825851/273798450481063*c_0101_5^8 - 57367212044133/273798450481063*c_0101_5^7 + 1078209641562842/273798450481063*c_0101_5^6 + 48275152264590/273798450481063*c_0101_5^5 - 881380495517449/273798450481063*c_0101_5^4 - 303125394830066/273798450481063*c_0101_5^3 - 225401814284223/273798450481063*c_0101_5^2 - 165203432418460/273798450481063*c_0101_5 - 264492896907099/273798450481063, c_0101_1 - 2086948229570703/2190387603848504*c_0101_5^8 + 202836240463599/547596900962126*c_0101_5^7 + 2170313249005617/1095193801924252*c_0101_5^6 - 1001433461028559/1095193801924252*c_0101_5^5 - 2913330368642237/1095193801924252*c_0101_5^4 + 1599738267502961/2190387603848504*c_0101_5^3 + 262618670830146/273798450481063*c_0101_5^2 - 139527226297433/2190387603848504*c_0101_5 - 730265867075859/2190387603848504, c_0101_2 + 241927228535517/53424087898744*c_0101_5^8 + 48905128647519/26712043949372*c_0101_5^7 - 43823024844085/6678010987343*c_0101_5^6 - 13307093379468/6678010987343*c_0101_5^5 + 73519046369733/13356021974686*c_0101_5^4 + 152677510571331/53424087898744*c_0101_5^3 + 14685173427911/13356021974686*c_0101_5^2 + 54817045792183/53424087898744*c_0101_5 + 64316882561699/53424087898744, c_0101_5^9 + 53/93*c_0101_5^8 - 406/279*c_0101_5^7 - 212/279*c_0101_5^6 + 344/279*c_0101_5^5 + 83/93*c_0101_5^4 + 25/93*c_0101_5^3 + 49/279*c_0101_5^2 + 8/31*c_0101_5 + 55/279 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB