Magma V2.19-8 Tue Aug 20 2013 23:53:32 on localhost [Seed = 3381633589] Type ? for help. Type -D to quit. Loading file "L13n6563__sl2_c1.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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_0_1' : 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' : negation(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' : negation(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: 10 Groebner basis: [ t + 335627141806297438585992756/107301090839140293103619*c_1010_10^9 - 89079752380999356181241437/3700037615142768727711*c_1010_10^8 + 7531387954857214987878588500/107301090839140293103619*c_1010_10^7 - 1099584778844711425831604782/107301090839140293103619*c_1010_10^6 + 18025250188394835311535415947/107301090839140293103619*c_1010_10^5 - 55047596111789202567258419675/107301090839140293103619*c_1010_10^4 - 54617889026625272063099171863/107301090839140293103619*c_1010_10^3 + 27865648616417693583100611606/107301090839140293103619*c_1010_10^2 + 59753625480116098751085496471/107301090839140293103619*c_1010_10 + 70840656348105732525235105700/107301090839140293103619, c_0011_0 - 1, c_0011_10 + 31763523698357336/5370156190337835599*c_1010_10^9 - 230604814051103822/5370156190337835599*c_1010_10^8 + 584727861694863304/5370156190337835599*c_1010_10^7 + 392163973306684379/5370156190337835599*c_1010_10^6 + 1065496719169940493/5370156190337835599*c_1010_10^5 - 4268222646284881463/5370156190337835599*c_1010_10^4 - 7308665160189661335/5370156190337835599*c_1010_10^3 + 3613387360207867493/5370156190337835599*c_1010_10^2 + 13159217988109455124/5370156190337835599*c_1010_10 + 3566389031534334117/5370156190337835599, c_0011_11 + 10356380870776812/5370156190337835599*c_1010_10^9 - 51008879321932071/5370156190337835599*c_1010_10^8 + 52884168918350558/5370156190337835599*c_1010_10^7 + 355094225625063068/5370156190337835599*c_1010_10^6 + 1077865690813420541/5370156190337835599*c_1010_10^5 + 118163873824396855/5370156190337835599*c_1010_10^4 - 2363758901750290043/5370156190337835599*c_1010_10^3 - 3910807191078540678/5370156190337835599*c_1010_10^2 + 4444003374894644720/5370156190337835599*c_1010_10 + 1144115573194628170/5370156190337835599, c_0011_3 + 1301567208590772/5370156190337835599*c_1010_10^9 + 12578511969923039/5370156190337835599*c_1010_10^8 - 143583952931099378/5370156190337835599*c_1010_10^7 + 571853386301237933/5370156190337835599*c_1010_10^6 - 488198450881463509/5370156190337835599*c_1010_10^5 + 2223031611109897329/5370156190337835599*c_1010_10^4 - 3082862081575745033/5370156190337835599*c_1010_10^3 + 1755493191557318407/5370156190337835599*c_1010_10^2 - 2041896227622797653/5370156190337835599*c_1010_10 - 2949169837882989177/5370156190337835599, c_0011_4 - 14903929876275292/5370156190337835599*c_1010_10^9 + 116377053091475527/5370156190337835599*c_1010_10^8 - 333053905683899535/5370156190337835599*c_1010_10^7 - 44057657050963606/5370156190337835599*c_1010_10^6 - 315846679787783940/5370156190337835599*c_1010_10^5 + 1860865861823977422/5370156190337835599*c_1010_10^4 + 3719433221156796248/5370156190337835599*c_1010_10^3 - 6379226684143344882/5370156190337835599*c_1010_10^2 - 1800987979882424610/5370156190337835599*c_1010_10 - 2315787234272937622/5370156190337835599, c_0011_9 - 1, c_0101_10 + 4831857490736824/5370156190337835599*c_1010_10^9 - 36361412657875630/5370156190337835599*c_1010_10^8 + 75231029506703254/5370156190337835599*c_1010_10^7 + 239496893589085456/5370156190337835599*c_1010_10^6 - 579453029925193376/5370156190337835599*c_1010_10^5 - 19503749167475591/5370156190337835599*c_1010_10^4 - 2311878254705724643/5370156190337835599*c_1010_10^3 + 6218981605639900253/5370156190337835599*c_1010_10^2 - 1361202363301787363/5370156190337835599*c_1010_10 - 1582291837026501178/5370156190337835599, c_0101_11 + 4514289237150432/5370156190337835599*c_1010_10^9 - 35061852274712708/5370156190337835599*c_1010_10^8 + 120000990131916975/5370156190337835599*c_1010_10^7 - 163612912624150736/5370156190337835599*c_1010_10^6 + 704268892768594237/5370156190337835599*c_1010_10^5 - 970831700334669010/5370156190337835599*c_1010_10^4 - 454594123167734983/5370156190337835599*c_1010_10^3 - 2867756197458555583/5370156190337835599*c_1010_10^2 - 1215165428196013790/5370156190337835599*c_1010_10 + 1693774523246412695/5370156190337835599, c_0101_7 - 1894281586516916/5370156190337835599*c_1010_10^9 - 829079576423675/5370156190337835599*c_1010_10^8 + 93209243003634125/5370156190337835599*c_1010_10^7 - 503056932481585213/5370156190337835599*c_1010_10^6 + 575370863447436536/5370156190337835599*c_1010_10^5 - 1311507125233588251/5370156190337835599*c_1010_10^4 + 4115978095527286678/5370156190337835599*c_1010_10^3 - 1881012194250905439/5370156190337835599*c_1010_10^2 - 2012805984648754870/5370156190337835599*c_1010_10 - 1953904109555068784/5370156190337835599, c_0110_6 + 39500442200562372/5370156190337835599*c_1010_10^9 - 324597244742282453/5370156190337835599*c_1010_10^8 + 1025285220215311246/5370156190337835599*c_1010_10^7 - 424319131044212019/5370156190337835599*c_1010_10^6 + 1601440743334558097/5370156190337835599*c_1010_10^5 - 7102771525999241227/5370156190337835599*c_1010_10^4 - 3781276021553914960/5370156190337835599*c_1010_10^3 + 8195736573968737153/5370156190337835599*c_1010_10^2 + 5287650951365932675/5370156190337835599*c_1010_10 + 138743982783835353/5370156190337835599, c_1001_0 - 592714377926144/5370156190337835599*c_1010_10^9 + 11749432393499364/5370156190337835599*c_1010_10^8 - 50374709927465253/5370156190337835599*c_1010_10^7 + 68796453819652720/5370156190337835599*c_1010_10^6 + 87172412565973027/5370156190337835599*c_1010_10^5 + 911524485876309078/5370156190337835599*c_1010_10^4 + 1033116013951541645/5370156190337835599*c_1010_10^3 - 125519002693587032/5370156190337835599*c_1010_10^2 - 4054702212271552523/5370156190337835599*c_1010_10 - 4903073947438057961/5370156190337835599, c_1010_10^10 - 29/4*c_1010_10^9 + 19*c_1010_10^8 + 27/4*c_1010_10^7 + 209/4*c_1010_10^6 - 140*c_1010_10^5 - 236*c_1010_10^4 + 41/4*c_1010_10^3 + 215*c_1010_10^2 + 581/2*c_1010_10 + 377/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB