Magma V2.19-8 Tue Aug 20 2013 23:56:53 on localhost [Seed = 1090988477] Type ? for help. Type -D to quit. Loading file "L14n24918__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24918 geometric_solution 10.92709835 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 0 0 2 0132 3201 2310 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 1 -1 0 0 0 -1 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 0.989383417316 0.813586232088 0 3 4 2 0132 0132 0132 2031 0 1 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 3 -2 -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 0.482134420756 0.783204885734 5 1 0 6 0132 1302 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482134420756 0.783204885734 6 1 6 7 3201 0132 2310 0132 0 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 0 0 0 -3 0 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 0.115418642987 0.840948480257 8 9 10 1 0132 0132 0132 0132 0 1 1 1 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 0 -2 2 0 0 0 0 0 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665709313812 0.735197138011 2 7 11 8 0132 2031 0132 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 -1 0 1 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 0.665709313812 0.735197138011 10 3 2 3 2103 3201 0132 2310 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 0 0.115418642987 0.840948480257 5 11 3 10 1302 2103 0132 0321 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 0 0 0 0 0 0 0 0 0 1 -3 2 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 -0.160188911124 1.167147853049 4 11 5 9 0132 0213 0132 3120 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 -1 0 1 0 0 0 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778706285235 0.423422027290 8 4 11 10 3120 0132 2103 3120 0 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 -4 3 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408790927379 0.358098384225 9 7 6 4 3120 0321 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 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 0.428387078935 0.430956592206 9 7 8 5 2103 2103 0213 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 -1 1 0 0 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 0.408790927379 0.358098384225 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_7'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_2'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_3'])})} 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_10, c_0011_11, c_0011_2, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 65179595801132487/203301712774624*c_0101_4^10 - 1299586147683116203/203301712774624*c_0101_4^9 + 746347547720813753/406603425549248*c_0101_4^8 + 3343285295230631373/406603425549248*c_0101_4^7 - 1379437282130910697/406603425549248*c_0101_4^6 - 4356458949654765441/203301712774624*c_0101_4^5 - 5657441009916094059/406603425549248*c_0101_4^4 + 18890737004489401/50825428193656*c_0101_4^3 + 193230089669726055/101650856387312*c_0101_4^2 - 349658063937816389/203301712774624*c_0101_4 - 1064806391265710033/406603425549248, c_0011_0 - 1, c_0011_10 + 109952622360/6353178524207*c_0101_4^10 + 2975991571630/6353178524207*c_0101_4^9 + 14567165158180/6353178524207*c_0101_4^8 - 15486221181585/6353178524207*c_0101_4^7 - 9112171671402/6353178524207*c_0101_4^6 + 22008085370489/6353178524207*c_0101_4^5 + 45786889614166/6353178524207*c_0101_4^4 + 11138033353382/6353178524207*c_0101_4^3 + 2646498484020/6353178524207*c_0101_4^2 + 6219438647613/6353178524207*c_0101_4 + 8376763051253/6353178524207, c_0011_11 - 1, c_0011_2 + 2118467703424/6353178524207*c_0101_4^10 + 41462462303846/6353178524207*c_0101_4^9 - 26962710117280/6353178524207*c_0101_4^8 - 37002526365005/6353178524207*c_0101_4^7 + 36401613375044/6353178524207*c_0101_4^6 + 122813243147319/6353178524207*c_0101_4^5 + 40863192354879/6353178524207*c_0101_4^4 + 8816585253065/6353178524207*c_0101_4^3 + 10637198161822/6353178524207*c_0101_4^2 + 21458357663702/6353178524207*c_0101_4 + 7087287593397/6353178524207, c_0011_4 - 270034534048/6353178524207*c_0101_4^10 - 5507565803364/6353178524207*c_0101_4^9 - 878616690986/6353178524207*c_0101_4^8 + 8295471925794/6353178524207*c_0101_4^7 - 1347102589151/6353178524207*c_0101_4^6 - 17707567055220/6353178524207*c_0101_4^5 - 21110633883680/6353178524207*c_0101_4^4 - 2783267383811/6353178524207*c_0101_4^3 - 1645256399149/6353178524207*c_0101_4^2 - 3246282573579/6353178524207*c_0101_4 - 1688634683619/6353178524207, c_0011_6 + 607352001028/6353178524207*c_0101_4^10 + 8574208854192/6353178524207*c_0101_4^9 - 71606473492658/6353178524207*c_0101_4^8 + 49473492799446/6353178524207*c_0101_4^7 + 39022576199960/6353178524207*c_0101_4^6 - 11460134561569/6353178524207*c_0101_4^5 - 154817150794144/6353178524207*c_0101_4^4 - 40740402591188/6353178524207*c_0101_4^3 - 25672017958153/6353178524207*c_0101_4^2 + 17748315154607/6353178524207*c_0101_4 - 9955802278837/6353178524207, c_0011_7 - c_0101_4, c_0101_0 - 1880580509904/6353178524207*c_0101_4^10 - 37671649214974/6353178524207*c_0101_4^9 + 7285636556590/6353178524207*c_0101_4^8 + 49670953929007/6353178524207*c_0101_4^7 - 15049787240947/6353178524207*c_0101_4^6 - 131275144214808/6353178524207*c_0101_4^5 - 86149597993271/6353178524207*c_0101_4^4 - 5684707193031/6353178524207*c_0101_4^3 + 5841930126635/6353178524207*c_0101_4^2 - 10018336175375/6353178524207*c_0101_4 - 7723790711039/6353178524207, c_0101_1 + 1046973658478/6353178524207*c_0101_4^10 + 20569517762164/6353178524207*c_0101_4^9 - 11748836309239/6353178524207*c_0101_4^8 - 18397217198436/6353178524207*c_0101_4^7 + 15933385950340/6353178524207*c_0101_4^6 + 58271707107286/6353178524207*c_0101_4^5 + 32083738303522/6353178524207*c_0101_4^4 + 6089481601991/6353178524207*c_0101_4^3 + 7314931934962/6353178524207*c_0101_4^2 + 4335269810565/6353178524207*c_0101_4 + 1633658372439/6353178524207, c_0101_10 + 1, c_0101_3 - 2118467703424/6353178524207*c_0101_4^10 - 41462462303846/6353178524207*c_0101_4^9 + 26962710117280/6353178524207*c_0101_4^8 + 37002526365005/6353178524207*c_0101_4^7 - 36401613375044/6353178524207*c_0101_4^6 - 122813243147319/6353178524207*c_0101_4^5 - 40863192354879/6353178524207*c_0101_4^4 - 8816585253065/6353178524207*c_0101_4^3 - 10637198161822/6353178524207*c_0101_4^2 - 21458357663702/6353178524207*c_0101_4 - 7087287593397/6353178524207, c_0101_4^11 + 20*c_0101_4^10 - 9/2*c_0101_4^9 - 26*c_0101_4^8 + 9*c_0101_4^7 + 135/2*c_0101_4^6 + 95/2*c_0101_4^5 + 3/2*c_0101_4^4 - 6*c_0101_4^3 + 5*c_0101_4^2 + 17/2*c_0101_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.290 seconds, Total memory usage: 32.09MB