Magma V2.19-8 Tue Aug 20 2013 23:56:55 on localhost [Seed = 442266340] Type ? for help. Type -D to quit. Loading file "L14n24958__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24958 geometric_solution 10.71184296 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 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 -4 3 1 0 0 -4 4 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211606364121 1.055090864015 0 3 6 5 0132 1023 0132 0132 0 0 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 4 -3 -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 0.096485111228 0.682189015457 7 0 8 4 0132 0132 0132 1230 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 4 0 -4 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293214268057 0.298938113225 1 7 8 0 1023 0132 1302 0132 0 0 1 1 0 -1 0 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 0 0 0 0 3 0 -3 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880737412148 1.881023890854 2 9 0 5 3012 0132 0132 0213 0 0 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 -1 1 4 0 -4 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 0.243054145548 0.540781933370 10 10 1 4 0132 1302 0132 0213 0 0 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 0 0 0 0 11 -12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429974078181 0.692088716446 7 9 11 1 2031 1023 0132 0132 0 0 1 0 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 -3 3 -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 0.711853699443 1.068634780931 2 3 6 10 0132 0132 1302 0321 0 0 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 3 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 0.029039141466 1.550560826250 3 9 10 2 2031 0321 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068691339866 1.255000921121 6 4 11 8 1023 0132 2103 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482602766555 1.219237427834 5 7 8 5 0132 0321 3120 2031 0 0 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 -11 -1 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709061243497 0.860896438406 9 11 11 6 2103 1230 3012 0132 0 0 0 0 0 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 -3 0 3 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 1.428903206430 0.683263462252 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0011_10']), '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_11'], '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' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_10']), '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' : 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' : 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' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 637287592179764259938879/3895976495590081036288*c_1001_2^13 + 3658885427508057144109651/7791952991180162072576*c_1001_2^12 - 851826958397299706362279/486997061948760129536*c_1001_2^11 + 4812687837524163469270907/7791952991180162072576*c_1001_2^10 - 6862263916556290790102413/486997061948760129536*c_1001_2^9 - 21783234275193552745663371/1113136141597166010368*c_1001_2^8 - 119121759748312404343630837/1947988247795040518144*c_1001_2^7 - 396200061663801219457324319/3895976495590081036288*c_1001_2^6 - 599561139588770038811884397/3895976495590081036288*c_1001_2^5 - 1429673532980737361171697067/7791952991180162072576*c_1001_2^4 - 346964008870165099840799291/1947988247795040518144*c_1001_2^3 - 934743246386324195827345749/7791952991180162072576*c_1001_2^2 - 50738582685644245445352037/973994123897520259072*c_1001_2 - 92023709757816591213381955/7791952991180162072576, c_0011_0 - 1, c_0011_10 + 311347423/29294129152*c_1001_2^13 - 3568446243/58588258304*c_1001_2^12 + 1735135375/7323532288*c_1001_2^11 - 29025356147/58588258304*c_1001_2^10 + 5507578237/3661766144*c_1001_2^9 - 104714312915/58588258304*c_1001_2^8 + 52552910675/14647064576*c_1001_2^7 - 74924394277/29294129152*c_1001_2^6 + 59781474369/29294129152*c_1001_2^5 - 97861490237/58588258304*c_1001_2^4 - 21156873245/14647064576*c_1001_2^3 - 72083172363/58588258304*c_1001_2^2 + 2180862537/1830883072*c_1001_2 + 39962481019/58588258304, c_0011_11 - 2956999777/117176516608*c_1001_2^13 + 22379793981/234353033216*c_1001_2^12 - 9633850727/29294129152*c_1001_2^11 + 68209846877/234353033216*c_1001_2^10 - 30241024611/14647064576*c_1001_2^9 - 350139689875/234353033216*c_1001_2^8 - 324478586753/58588258304*c_1001_2^7 - 1070536576589/117176516608*c_1001_2^6 - 864879433719/117176516608*c_1001_2^5 - 2548904071373/234353033216*c_1001_2^4 - 161896970509/58588258304*c_1001_2^3 + 269035202485/234353033216*c_1001_2^2 + 62549593165/14647064576*c_1001_2 + 203234411563/234353033216, c_0011_4 + 3872441313/117176516608*c_1001_2^13 - 30618767805/234353033216*c_1001_2^12 + 13524477255/29294129152*c_1001_2^11 - 118559131357/234353033216*c_1001_2^10 + 43514926883/14647064576*c_1001_2^9 + 257680094739/234353033216*c_1001_2^8 + 484223134785/58588258304*c_1001_2^7 + 1105323354957/117176516608*c_1001_2^6 + 1333585500151/117176516608*c_1001_2^5 + 2584606291277/234353033216*c_1001_2^4 + 329422771597/58588258304*c_1001_2^3 - 844847928629/234353033216*c_1001_2^2 - 57171374141/14647064576*c_1001_2 - 519061741483/234353033216, c_0011_8 + 949349387/58588258304*c_1001_2^13 - 6381401343/117176516608*c_1001_2^12 + 2599489293/14647064576*c_1001_2^11 - 7169320031/117176516608*c_1001_2^10 + 8141932417/7323532288*c_1001_2^9 + 204388552433/117176516608*c_1001_2^8 + 90347438827/29294129152*c_1001_2^7 + 458001755055/58588258304*c_1001_2^6 + 290518194877/58588258304*c_1001_2^5 + 1045290754351/117176516608*c_1001_2^4 + 76324628847/29294129152*c_1001_2^3 - 23311162407/117176516608*c_1001_2^2 - 20397077967/7323532288*c_1001_2 - 58013589625/117176516608, c_0101_0 - 1, c_0101_1 + 1058301003/117176516608*c_1001_2^13 - 9616991295/234353033216*c_1001_2^12 + 4434872141/29294129152*c_1001_2^11 - 53871206815/234353033216*c_1001_2^10 + 13957159777/14647064576*c_1001_2^9 - 58637414991/234353033216*c_1001_2^8 + 143783709099/58588258304*c_1001_2^7 + 154533066479/117176516608*c_1001_2^6 + 283843043965/117176516608*c_1001_2^5 + 458322562671/234353033216*c_1001_2^4 + 9247712815/58588258304*c_1001_2^3 - 222412877671/234353033216*c_1001_2^2 - 21755437231/14647064576*c_1001_2 - 87207232313/234353033216, c_0101_10 + 3603530313/117176516608*c_1001_2^13 - 25761909253/234353033216*c_1001_2^12 + 11001593719/29294129152*c_1001_2^11 - 63724764133/234353033216*c_1001_2^10 + 35916472859/14647064576*c_1001_2^9 + 534725811915/234353033216*c_1001_2^8 + 422614952185/58588258304*c_1001_2^7 + 1395403014197/117176516608*c_1001_2^6 + 1383744637231/117176516608*c_1001_2^5 + 3131677750997/234353033216*c_1001_2^4 + 451368162453/58588258304*c_1001_2^3 - 536782307261/234353033216*c_1001_2^2 - 60924858737/14647064576*c_1001_2 - 570690090979/234353033216, c_0101_11 + 7303067907/117176516608*c_1001_2^13 - 57726948887/234353033216*c_1001_2^12 + 25520953317/29294129152*c_1001_2^11 - 224914132215/234353033216*c_1001_2^10 + 82410533513/14647064576*c_1001_2^9 + 476370433113/234353033216*c_1001_2^8 + 916567544899/58588258304*c_1001_2^7 + 2084501738247/117176516608*c_1001_2^6 + 2462832007749/117176516608*c_1001_2^5 + 5113554551879/234353033216*c_1001_2^4 + 502298203399/58588258304*c_1001_2^3 - 894549999743/234353033216*c_1001_2^2 - 115265782735/14647064576*c_1001_2 - 617746025889/234353033216, c_0101_6 - 2013075355/29294129152*c_1001_2^13 + 16777483727/58588258304*c_1001_2^12 - 7577815269/7323532288*c_1001_2^11 + 78202291695/58588258304*c_1001_2^10 - 24478809809/3661766144*c_1001_2^9 - 31037785761/58588258304*c_1001_2^8 - 270117167595/14647064576*c_1001_2^7 - 449599054879/29294129152*c_1001_2^6 - 687236370637/29294129152*c_1001_2^5 - 1173817545663/58588258304*c_1001_2^4 - 138155546687/14647064576*c_1001_2^3 + 293732852215/58588258304*c_1001_2^2 + 25564996915/3661766144*c_1001_2 + 171062934377/58588258304, c_0101_8 + 789390003/117176516608*c_1001_2^13 - 4760132743/234353033216*c_1001_2^12 + 1911988605/29294129152*c_1001_2^11 + 963160409/234353033216*c_1001_2^10 + 6358705753/14647064576*c_1001_2^9 + 218408302185/234353033216*c_1001_2^8 + 82175526499/58588258304*c_1001_2^7 + 444612725719/117176516608*c_1001_2^6 + 334002181045/117176516608*c_1001_2^5 + 1005394022391/234353033216*c_1001_2^4 + 131193103671/58588258304*c_1001_2^3 + 85652743697/234353033216*c_1001_2^2 - 25508921827/14647064576*c_1001_2 - 138835581809/234353033216, c_1001_2^14 - 7/2*c_1001_2^13 + 25/2*c_1001_2^12 - 21/2*c_1001_2^11 + 177/2*c_1001_2^10 + 131/2*c_1001_2^9 + 597/2*c_1001_2^8 + 387*c_1001_2^7 + 550*c_1001_2^6 + 1063/2*c_1001_2^5 + 771/2*c_1001_2^4 + 103/2*c_1001_2^3 - 279/2*c_1001_2^2 - 251/2*c_1001_2 - 89/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB