Magma V2.19-8 Tue Aug 20 2013 16:17:26 on localhost [Seed = 240095941] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1672 geometric_solution 5.40316839 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437495212620 0.207198676308 2 0 3 0 0132 2310 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695526792579 0.677006128819 1 4 5 5 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.236883839924 1.872080787589 6 6 4 1 0132 3201 3201 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 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 -0.236883839924 1.872080787589 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 0 -1 1 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 0 0 1 0 0 -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 0.380980222666 0.483803142723 6 2 6 2 1302 2310 2031 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 -0.409025938909 0.837452413284 3 5 3 5 0132 2031 2310 1302 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 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 -0.409025938909 0.837452413284 ==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' : d['1'], 's_3_0' : d['1'], '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_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' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1515182853346439/2150756137918448*c_0101_3^18 + 3133966748448877/1075378068959224*c_0101_3^16 + 37047055019933593/2150756137918448*c_0101_3^14 + 108035628564464887/1075378068959224*c_0101_3^12 + 183393379596754139/1075378068959224*c_0101_3^10 + 659215218542418033/2150756137918448*c_0101_3^8 - 202078734369292695/2150756137918448*c_0101_3^6 - 976735407029221573/2150756137918448*c_0101_3^4 - 1835938882513340341/2150756137918448*c_0101_3^2 - 31605896039976855/268844517239806, c_0011_0 - 1, c_0011_1 - 660250800059/537689034479612*c_0101_3^18 + 756928902482/134422258619903*c_0101_3^16 + 14674934859463/537689034479612*c_0101_3^14 + 43252778531583/268844517239806*c_0101_3^12 + 66874248899487/268844517239806*c_0101_3^10 + 262599826935369/537689034479612*c_0101_3^8 - 53545540549253/537689034479612*c_0101_3^6 - 469865319344469/537689034479612*c_0101_3^4 - 747358346480959/537689034479612*c_0101_3^2 - 103487185935515/134422258619903, c_0011_3 - 464956298630/134422258619903*c_0101_3^18 + 7943509055317/537689034479612*c_0101_3^16 + 43129735687279/537689034479612*c_0101_3^14 + 66169262705359/134422258619903*c_0101_3^12 + 225544725567229/268844517239806*c_0101_3^10 + 225616356596416/134422258619903*c_0101_3^8 - 164381926785399/537689034479612*c_0101_3^6 - 526395512622289/268844517239806*c_0101_3^4 - 2400046637523727/537689034479612*c_0101_3^2 - 130728471953653/134422258619903, c_0011_5 + 464956298630/134422258619903*c_0101_3^18 - 7943509055317/537689034479612*c_0101_3^16 - 43129735687279/537689034479612*c_0101_3^14 - 66169262705359/134422258619903*c_0101_3^12 - 225544725567229/268844517239806*c_0101_3^10 - 225616356596416/134422258619903*c_0101_3^8 + 164381926785399/537689034479612*c_0101_3^6 + 526395512622289/268844517239806*c_0101_3^4 + 2400046637523727/537689034479612*c_0101_3^2 + 130728471953653/134422258619903, c_0101_0 - 15583828706675/1075378068959224*c_0101_3^19 + 16064695911365/268844517239806*c_0101_3^17 + 381877920503535/1075378068959224*c_0101_3^15 + 1113708076929065/537689034479612*c_0101_3^13 + 1898625836771881/537689034479612*c_0101_3^11 + 6870162257944709/1075378068959224*c_0101_3^9 - 1913032513954529/1075378068959224*c_0101_3^7 - 9766283389406577/1075378068959224*c_0101_3^5 - 19097934974039999/1075378068959224*c_0101_3^3 - 549130727323829/268844517239806*c_0101_3, c_0101_1 - 1301039787305/537689034479612*c_0101_3^18 + 1222789531272/134422258619903*c_0101_3^16 + 34543709263045/537689034479612*c_0101_3^14 + 97455629594137/268844517239806*c_0101_3^12 + 182775348549407/268844517239806*c_0101_3^10 + 583693971956431/537689034479612*c_0101_3^8 - 147331518755659/537689034479612*c_0101_3^6 - 1192586357657255/537689034479612*c_0101_3^4 - 1671987306693501/537689034479612*c_0101_3^2 - 43624085851677/134422258619903, c_0101_3^20 - 4*c_0101_3^18 - 25*c_0101_3^16 - 146*c_0101_3^14 - 262*c_0101_3^12 - 471*c_0101_3^10 + 67*c_0101_3^8 + 647*c_0101_3^6 + 1285*c_0101_3^4 + 320*c_0101_3^2 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB