Magma V2.19-8 Tue Aug 20 2013 23:55:26 on localhost [Seed = 2834219253] Type ? for help. Type -D to quit. Loading file "L14a21800__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a21800 geometric_solution 10.30985262 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 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 1 -2 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 0 0 0 0.488080119599 1.252740829258 0 4 4 5 0132 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0.729981723250 0.693047936901 0 0 6 6 3012 0132 3012 0132 1 1 1 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 -1 1 0 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279520507233 0.684026476470 7 8 7 0 0132 0132 2310 0132 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642715523416 0.431893902599 1 1 9 9 2031 0132 0132 1230 1 1 0 1 0 0 -1 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 2 -2 -1 0 2 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279520507233 0.684026476470 10 10 1 11 0132 3201 0132 0132 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 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 1.137180321576 1.374650395506 8 2 2 8 0213 1230 0132 3012 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.729981723250 0.693047936901 3 3 10 10 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487214497011 0.152167000218 6 3 6 11 0213 0132 1230 3201 1 0 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 2 0 -2 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488080119599 1.252740829258 4 11 11 4 3012 3012 0132 0132 1 1 1 0 0 -1 0 1 -1 0 0 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 2 0 -2 2 0 0 -2 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729981723250 0.693047936901 5 7 5 7 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.870069979572 0.584060902817 9 8 5 9 1230 2310 0132 0132 1 1 0 1 0 1 -1 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 -1 1 0 0 0 0 0 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729981723250 0.693047936901 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : 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' : 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_11']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_1001_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_4'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_9'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_11'])})} 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_3, c_0101_4, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 13447/423*c_1001_0^5 - 22702/423*c_1001_0^4 + 29126/141*c_1001_0^3 + 8792/141*c_1001_0^2 - 2461/423*c_1001_0 - 42637/423, c_0011_0 - 1, c_0011_10 + 35/47*c_1001_0^5 - 54/47*c_1001_0^4 + 223/47*c_1001_0^3 + 110/47*c_1001_0^2 + 22/47*c_1001_0 - 56/47, c_0011_11 - 1, c_0011_3 - 6/47*c_1001_0^5 + 20/47*c_1001_0^4 - 53/47*c_1001_0^3 + 55/47*c_1001_0^2 + 58/47*c_1001_0 + 19/47, c_0011_6 - 6/47*c_1001_0^5 + 20/47*c_1001_0^4 - 53/47*c_1001_0^3 + 55/47*c_1001_0^2 + 11/47*c_1001_0 + 19/47, c_0011_9 - 6/47*c_1001_0^5 + 20/47*c_1001_0^4 - 53/47*c_1001_0^3 + 55/47*c_1001_0^2 + 11/47*c_1001_0 + 19/47, c_0101_0 - 1, c_0101_10 - 6/47*c_1001_0^5 + 20/47*c_1001_0^4 - 53/47*c_1001_0^3 + 55/47*c_1001_0^2 + 58/47*c_1001_0 + 19/47, c_0101_3 + 35/47*c_1001_0^5 - 54/47*c_1001_0^4 + 223/47*c_1001_0^3 + 110/47*c_1001_0^2 + 22/47*c_1001_0 - 56/47, c_0101_4 - c_1001_0, c_1001_0^6 - 2*c_1001_0^5 + 7*c_1001_0^4 - c_1001_0^2 - 3*c_1001_0 + 1, c_1001_10 - 1 ], 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_3, c_0101_4, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 357538205967585084036/72694497661585217*c_1001_0^11 + 3717666681638419493283/72694497661585217*c_1001_0^10 + 6322687545252729045763/72694497661585217*c_1001_0^9 + 1575790576628193979588/72694497661585217*c_1001_0^8 - 16385232568920357728324/72694497661585217*c_1001_0^7 - 13776874223185281979064/72694497661585217*c_1001_0^6 + 1002339577658620185857/72694497661585217*c_1001_0^5 + 7623545315681324299287/72694497661585217*c_1001_0^4 + 1207925681021090474452/72694497661585217*c_1001_0^3 - 1070537161017337818338/72694497661585217*c_1001_0^2 - 484032404208686932727/72694497661585217*c_1001_0 + 148285423388621309159/72694497661585217, c_0011_0 - 1, c_0011_10 - 60983078790168/1104561373309*c_1001_0^11 + 637790140042020/1104561373309*c_1001_0^10 + 1041230477053794/1104561373309*c_1001_0^9 + 191304377313559/1104561373309*c_1001_0^8 - 2832832741922994/1104561373309*c_1001_0^7 - 2191928596600035/1104561373309*c_1001_0^6 + 361433364217181/1104561373309*c_1001_0^5 + 1340730643263761/1104561373309*c_1001_0^4 + 145532643298820/1104561373309*c_1001_0^3 - 209284930905593/1104561373309*c_1001_0^2 - 79408642874672/1104561373309*c_1001_0 + 28631572573550/1104561373309, c_0011_11 - 1, c_0011_3 - 223813625004/1104561373309*c_1001_0^11 + 2608022590338/1104561373309*c_1001_0^10 + 915037883401/1104561373309*c_1001_0^9 - 2675333920868/1104561373309*c_1001_0^8 - 9611045602257/1104561373309*c_1001_0^7 + 4571077294192/1104561373309*c_1001_0^6 + 5749901864235/1104561373309*c_1001_0^5 + 211915009153/1104561373309*c_1001_0^4 - 4821168655834/1104561373309*c_1001_0^3 + 1825940683510/1104561373309*c_1001_0^2 + 2056194062102/1104561373309*c_1001_0 + 268715000487/1104561373309, c_0011_6 - 223813625004/1104561373309*c_1001_0^11 + 2608022590338/1104561373309*c_1001_0^10 + 915037883401/1104561373309*c_1001_0^9 - 2675333920868/1104561373309*c_1001_0^8 - 9611045602257/1104561373309*c_1001_0^7 + 4571077294192/1104561373309*c_1001_0^6 + 5749901864235/1104561373309*c_1001_0^5 + 211915009153/1104561373309*c_1001_0^4 - 4821168655834/1104561373309*c_1001_0^3 + 1825940683510/1104561373309*c_1001_0^2 + 951632688793/1104561373309*c_1001_0 + 268715000487/1104561373309, c_0011_9 + 303236509449888/1104561373309*c_1001_0^11 - 3151688275394610/1104561373309*c_1001_0^10 - 5375568821360066/1104561373309*c_1001_0^9 - 1369299148764325/1104561373309*c_1001_0^8 + 13869853940206225/1104561373309*c_1001_0^7 + 11732170322787960/1104561373309*c_1001_0^6 - 762588897820412/1104561373309*c_1001_0^5 - 6415915134097633/1104561373309*c_1001_0^4 - 1031238748335400/1104561373309*c_1001_0^3 + 892647781021413/1104561373309*c_1001_0^2 + 407174857142216/1104561373309*c_1001_0 - 124762189449788/1104561373309, c_0101_0 - 1, c_0101_10 + 145260380058093/1104561373309*c_1001_0^11 - 1510300129814652/1104561373309*c_1001_0^10 - 2569850368163215/1104561373309*c_1001_0^9 - 642754372893382/1104561373309*c_1001_0^8 + 6652200736116365/1104561373309*c_1001_0^7 + 5599277038059547/1104561373309*c_1001_0^6 - 397405925457762/1104561373309*c_1001_0^5 - 3081966973607780/1104561373309*c_1001_0^4 - 489416291433347/1104561373309*c_1001_0^3 + 428657875263238/1104561373309*c_1001_0^2 + 193228102482920/1104561373309*c_1001_0 - 59956302012923/1104561373309, c_0101_3 + 9493425109773/1104561373309*c_1001_0^11 - 100821846656988/1104561373309*c_1001_0^10 - 146181148256604/1104561373309*c_1001_0^9 - 2036983721809/1104561373309*c_1001_0^8 + 448007369705193/1104561373309*c_1001_0^7 + 269818638689308/1104561373309*c_1001_0^6 - 118838438321992/1104561373309*c_1001_0^5 - 203920024043859/1104561373309*c_1001_0^4 + 13553451527821/1104561373309*c_1001_0^3 + 42311529432835/1104561373309*c_1001_0^2 + 8530633617440/1104561373309*c_1001_0 - 6089938238880/1104561373309, c_0101_4 + 157976129391795/1104561373309*c_1001_0^11 - 1641388145579958/1104561373309*c_1001_0^10 - 2805718453196851/1104561373309*c_1001_0^9 - 726544775870943/1104561373309*c_1001_0^8 + 7217653204089860/1104561373309*c_1001_0^7 + 6132893284728413/1104561373309*c_1001_0^6 - 365182972362650/1104561373309*c_1001_0^5 - 3333948160489853/1104561373309*c_1001_0^4 - 541822456902053/1104561373309*c_1001_0^3 + 463989905758175/1104561373309*c_1001_0^2 + 213946754659296/1104561373309*c_1001_0 - 64805887436865/1104561373309, c_1001_0^12 - 32/3*c_1001_0^11 - 134/9*c_1001_0^10 + 1/3*c_1001_0^9 + 47*c_1001_0^8 + 236/9*c_1001_0^7 - 118/9*c_1001_0^6 - 185/9*c_1001_0^5 + 7/3*c_1001_0^4 + 35/9*c_1001_0^3 + 5/9*c_1001_0^2 - 7/9*c_1001_0 + 1/9, c_1001_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB