Magma V2.19-8 Tue Aug 20 2013 23:53:32 on localhost [Seed = 3532962094] Type ? for help. Type -D to quit. Loading file "L13n6563__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6563 geometric_solution 10.84801330 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 1 0 0 -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 1 0 0 -1 -1 0 0 1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.094905819924 0.689200672818 0 5 4 3 0132 0132 2310 0321 1 1 0 1 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 0 0 -1 0 -1 2 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468524019708 0.696346053647 5 0 7 6 0132 0132 0132 0132 1 1 0 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 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 -0.923790513128 1.328777493705 8 1 9 0 0132 0321 0132 0132 1 1 0 1 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 -1 1 0 0 0 0 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.288841084833 1.205434771309 9 1 0 10 0213 3201 0132 0132 1 1 1 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 0 0 0 0 1 -1 0 0 0 1 -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 0.491232652200 1.076279485000 2 1 6 11 0132 0132 0213 0132 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160334832634 1.046039391569 11 5 2 10 1302 0213 0132 2031 1 1 1 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 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446188614186 0.687903993852 9 9 10 2 2031 3120 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.259818483735 0.939288570944 3 11 11 10 0132 3012 0132 2310 1 1 1 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 0 0 0 -2 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107946647785 0.770239626760 4 7 7 3 0213 3120 1302 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 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 0.467654177523 0.629548698088 8 6 4 7 3201 1302 0132 1302 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 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 0.615406272275 1.234670592095 8 6 5 8 1230 2031 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 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 0.107946647785 0.770239626760 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0110_6'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0110_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1010_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1010_10']), 'c_1100_6' : negation(d['c_1010_10']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : negation(d['c_1010_10']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_9']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0101_11']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : 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' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_9, c_0101_10, c_0101_11, c_0101_7, c_0110_6, c_1001_0, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 180684131142808448037403005/375585739538426491919869*c_1010_10^8 - 57672903301447445991952198/19767670502022446943151*c_1010_10^7 - 3655672302647936402353905574/375585739538426491919869*c_1010_10^6 + 92894890123139114647157407/2520709661331721422281*c_1010_10^5 + 63179777795468019322033568813/375585739538426491919869*c_1010_10^4 + 66815013383766837944121651179/375585739538426491919869*c_1010_10^3 - 74189550684503850590580597416/375585739538426491919869*c_1010_10^2 - 300641568943667183716042750761/375585739538426491919869*c_1010_10 - 189057005032535611885451694558/375585739538426491919869, c_0011_0 - 1, c_0011_10 - 237731265396960/590132564170595783*c_1010_10^8 + 1448487271587344/590132564170595783*c_1010_10^7 + 5784447773121967/590132564170595783*c_1010_10^6 - 25395410332525585/590132564170595783*c_1010_10^5 - 103388597661156215/590132564170595783*c_1010_10^4 + 40292123429949043/590132564170595783*c_1010_10^3 + 371404481532822511/590132564170595783*c_1010_10^2 + 648803347625062662/590132564170595783*c_1010_10 - 218163878726204295/590132564170595783, c_0011_11 - 401664358303395/590132564170595783*c_1010_10^8 + 3173489779563548/590132564170595783*c_1010_10^7 + 3384754017509786/590132564170595783*c_1010_10^6 - 42959007051453695/590132564170595783*c_1010_10^5 - 79489609160552471/590132564170595783*c_1010_10^4 + 38474616088451381/590132564170595783*c_1010_10^3 + 362352571820194892/590132564170595783*c_1010_10^2 + 795666062561976620/590132564170595783*c_1010_10 - 53828363304624100/590132564170595783, c_0011_3 + 299820875904955/590132564170595783*c_1010_10^8 - 2446518814879582/590132564170595783*c_1010_10^7 - 1512512656949763/590132564170595783*c_1010_10^6 + 30134456364220121/590132564170595783*c_1010_10^5 + 51416438151081753/590132564170595783*c_1010_10^4 - 67127652820392285/590132564170595783*c_1010_10^3 - 84353392327121429/590132564170595783*c_1010_10^2 - 85065171382478605/590132564170595783*c_1010_10 + 301114819464072245/590132564170595783, c_0011_4 - 637327951516105/590132564170595783*c_1010_10^8 + 4907768247521637/590132564170595783*c_1010_10^7 + 4257866291214350/590132564170595783*c_1010_10^6 - 53247444132241262/590132564170595783*c_1010_10^5 - 115425491391024442/590132564170595783*c_1010_10^4 - 93456411463159242/590132564170595783*c_1010_10^3 + 158429820466033952/590132564170595783*c_1010_10^2 + 549245994123152200/590132564170595783*c_1010_10 - 124555848233449942/590132564170595783, c_0011_9 - 1, c_0101_10 + 152432235945590/590132564170595783*c_1010_10^8 - 1619304604436296/590132564170595783*c_1010_10^7 + 3169613813620360/590132564170595783*c_1010_10^6 + 8446584452310692/590132564170595783*c_1010_10^5 - 3533957034333771/590132564170595783*c_1010_10^4 - 734195149168095/590132564170595783*c_1010_10^3 - 59250053097790207/590132564170595783*c_1010_10^2 - 111916201775960427/590132564170595783*c_1010_10 + 284026170600630744/590132564170595783, c_0101_11 - 305060173814320/590132564170595783*c_1010_10^8 + 1914888731352733/590132564170595783*c_1010_10^7 + 5182968486269140/590132564170595783*c_1010_10^6 - 20386411936170699/590132564170595783*c_1010_10^5 - 93479841098961780/590132564170595783*c_1010_10^4 - 150048301010704629/590132564170595783*c_1010_10^3 + 68735126212550755/590132564170595783*c_1010_10^2 + 162226761112961894/590132564170595783*c_1010_10 + 136457552104979281/590132564170595783, c_0101_7 - 767326449564705/590132564170595783*c_1010_10^8 + 6340094643829717/590132564170595783*c_1010_10^7 + 2674363587344769/590132564170595783*c_1010_10^6 - 73598664628088452/590132564170595783*c_1010_10^5 - 105413689422041483/590132564170595783*c_1010_10^4 + 68814547612775644/590132564170595783*c_1010_10^3 + 139888816439165473/590132564170595783*c_1010_10^2 + 289940012893733250/590132564170595783*c_1010_10 - 201290295587943542/590132564170595783, c_0110_6 - 888823985661265/590132564170595783*c_1010_10^8 + 6437692518364436/590132564170595783*c_1010_10^7 + 11239842351139967/590132564170595783*c_1010_10^6 - 89040221520873887/590132564170595783*c_1010_10^5 - 209345257878994099/590132564170595783*c_1010_10^4 + 34213461934198430/590132564170595783*c_1010_10^3 + 437618488298109779/590132564170595783*c_1010_10^2 + 511595611391813485/590132564170595783*c_1010_10 - 448855320839849101/590132564170595783, c_1001_0 + 467505573659750/590132564170595783*c_1010_10^8 - 3893575828950135/590132564170595783*c_1010_10^7 - 1161850930395006/590132564170595783*c_1010_10^6 + 43464208263868331/590132564170595783*c_1010_10^5 + 53997251270959730/590132564170595783*c_1010_10^4 - 1686894792383359/590132564170595783*c_1010_10^3 - 55535424112044044/590132564170595783*c_1010_10^2 - 204874841511254645/590132564170595783*c_1010_10 - 99824523876128703/590132564170595783, c_1010_10^9 - 32/5*c_1010_10^8 - 91/5*c_1010_10^7 + 417/5*c_1010_10^6 + 324*c_1010_10^5 + 1262/5*c_1010_10^4 - 535*c_1010_10^3 - 7632/5*c_1010_10^2 - 2438/5*c_1010_10 + 1763/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB