Magma V2.19-8 Tue Aug 20 2013 23:43:59 on localhost [Seed = 1562064969] Type ? for help. Type -D to quit. Loading file "L14n15085__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15085 geometric_solution 10.02007567 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 1 -1 1 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.741325689101 1.072271635927 0 0 5 4 0132 1302 0132 0132 1 1 1 0 0 0 -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 -1 -2 3 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563754194276 0.630996619499 6 0 7 4 0132 0132 0132 2103 1 1 1 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 0 0 0 3 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207917439679 1.572355414340 8 5 9 0 0132 3201 0132 0132 1 1 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 0 0 0 1 0 -1 -1 0 0 1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563754194276 0.630996619499 8 10 1 2 2103 0132 0132 2103 1 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 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605332730862 0.548257007179 9 10 3 1 0132 0213 2310 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212606891870 0.881310320156 2 7 8 10 0132 3120 0213 2310 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563754194276 0.630996619499 9 6 8 2 1230 3120 0132 0132 1 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 0 0 0 0 0 0 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 -0.438690816692 0.386620541801 3 6 4 7 0132 0213 2103 0132 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 0.741325689101 1.072271635927 5 7 10 3 0132 3012 2031 0132 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 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 0.255535534983 0.507261114074 6 4 5 9 3201 0132 0213 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605332730862 0.548257007179 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_5'], 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_4']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0110_4']), 'c_1100_10' : d['c_0101_1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0110_4']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(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_5']), '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' : 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_10' : d['c_0011_7'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0110_4, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 651330086169837995/228732019593728*c_1001_4^6 + 361038936220525333/32676002799104*c_1001_4^5 - 927066552753987567/57183004898432*c_1001_4^4 + 2019059316200616479/228732019593728*c_1001_4^3 + 44092492110784193/114366009796864*c_1001_4^2 - 200385009533930257/228732019593728*c_1001_4 - 36568884690729901/228732019593728, c_0011_0 - 1, c_0011_10 + 1209545346/536305193*c_1001_4^6 - 2743387306/536305193*c_1001_4^5 + 1638055159/536305193*c_1001_4^4 + 887423766/536305193*c_1001_4^3 - 172060051/536305193*c_1001_4^2 - 602612108/536305193*c_1001_4 + 275233674/536305193, c_0011_3 - 2117639107/536305193*c_1001_4^6 + 6517974114/536305193*c_1001_4^5 - 6179303225/536305193*c_1001_4^4 - 742427199/536305193*c_1001_4^3 + 2829098549/536305193*c_1001_4^2 + 432026666/536305193*c_1001_4 - 747822458/536305193, c_0011_5 - 11024640822/536305193*c_1001_4^6 + 42029452385/536305193*c_1001_4^5 - 64422142424/536305193*c_1001_4^4 + 42665907020/536305193*c_1001_4^3 - 9041157693/536305193*c_1001_4^2 - 1512991491/536305193*c_1001_4 + 511644734/536305193, c_0011_7 + 14132354086/536305193*c_1001_4^6 - 49818433653/536305193*c_1001_4^5 + 69777831106/536305193*c_1001_4^4 - 38102233817/536305193*c_1001_4^3 + 3192163504/536305193*c_1001_4^2 + 3497714206/536305193*c_1001_4 - 56612119/536305193, c_0101_0 - 1, c_0101_1 + 301451585/536305193*c_1001_4^6 + 1031199502/536305193*c_1001_4^5 - 2903192907/536305193*c_1001_4^4 + 1032420333/536305193*c_1001_4^3 + 2484978447/536305193*c_1001_4^2 - 236892357/536305193*c_1001_4 - 733660303/536305193, c_0101_3 + 306013369/536305193*c_1001_4^6 + 1943747635/536305193*c_1001_4^5 - 10723182564/536305193*c_1001_4^4 + 18506676549/536305193*c_1001_4^3 - 12711244840/536305193*c_1001_4^2 + 2005410970/536305193*c_1001_4 + 828275700/536305193, c_0110_4 + 6013665032/536305193*c_1001_4^6 - 23511388690/536305193*c_1001_4^5 + 36647531523/536305193*c_1001_4^4 - 24963112114/536305193*c_1001_4^3 + 5466726592/536305193*c_1001_4^2 + 263772158/536305193*c_1001_4 + 25967350/536305193, c_1001_0 - 2602364268/536305193*c_1001_4^6 + 10021495968/536305193*c_1001_4^5 - 14308983178/536305193*c_1001_4^4 + 7229589986/536305193*c_1001_4^3 + 1261562104/536305193*c_1001_4^2 - 1662339099/536305193*c_1001_4 + 201305180/536305193, c_1001_4^7 - 686/149*c_1001_4^6 + 1277/149*c_1001_4^5 - 1109/149*c_1001_4^4 + 351/149*c_1001_4^3 + 53/149*c_1001_4^2 - 32/149*c_1001_4 - 7/149 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB