Magma V2.19-8 Wed Aug 21 2013 00:53:09 on localhost [Seed = 1275746775] Type ? for help. Type -D to quit. Loading file "L12n1310__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1310 geometric_solution 11.77483481 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 1 -1 -1 0 1 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923257560048 1.105705573994 0 5 5 4 0132 0132 2103 3120 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 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689922963187 0.576196174997 6 0 8 7 0132 0132 0132 0132 1 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810123682855 0.741016257209 4 7 9 0 3120 2310 0132 0132 1 0 1 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 1 0 -1 0 0 1 -1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537983932312 0.243094403714 1 10 0 3 3120 0132 0132 3120 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 0 0 0 -1 1 0 0 0 0 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 0.129799618440 0.600029230822 1 1 11 6 2103 0132 0132 2031 1 0 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 0 0 0 1 0 1 -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 0.146130431202 0.713117849007 2 5 11 12 0132 1302 1302 0132 0 1 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 2 -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 0 0 0 0 0 1.268016608626 0.757068706296 11 10 2 3 1302 1023 0132 3201 1 1 1 1 0 0 0 0 -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 0 0 0 2 0 0 -2 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.100595763539 1.029037452210 9 9 12 2 0321 3201 1230 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.333737562528 0.806193297979 8 10 8 3 0321 2310 2310 0132 1 0 1 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 0 0 0 0 1 -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 0.561637835913 1.058929765346 7 4 12 9 1023 0132 1302 3201 1 1 1 1 0 0 1 -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 1 -2 1 0 0 0 0 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283102746907 0.682001627815 6 7 12 5 2031 2031 3012 0132 1 0 1 1 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 0 0 1 0 0 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.062345343853 1.190163212301 10 11 6 8 2031 1230 0132 3012 0 1 1 1 0 0 0 0 -1 0 1 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 1 -1 2 0 -2 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 0.547475970136 0.603392645654 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : negation(d['c_0110_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_2']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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_12' : 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_3']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_12']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_8'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : d['c_1001_2'], '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'], 'c_1100_12' : d['c_0101_11'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_9']), '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_0101_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0110_10, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 14699167809775294143337/11208574220303356363*c_1001_2^14 - 112609513682170565869567/100877167982730207267*c_1001_2^13 - 45223938993282933075381/11208574220303356363*c_1001_2^12 + 362639832450243061736231/33625722660910069089*c_1001_2^11 - 60306601705977418797919/33625722660910069089*c_1001_2^10 - 1161996739752138726395333/100877167982730207267*c_1001_2^9 + 472423374462569236466653/100877167982730207267*c_1001_2^8 + 224038106369466412737764/11208574220303356363*c_1001_2^7 - 227592073238218042408927/11208574220303356363*c_1001_2^6 - 68118499022163295661056/33625722660910069089*c_1001_2^5 + 10107626129470157459841/659327895311962139*c_1001_2^4 - 444326837536419335900233/100877167982730207267*c_1001_2^3 - 504879942138574781984980/100877167982730207267*c_1001_2^2 + 545480939576684979335620/100877167982730207267*c_1001_2 - 18572473596285946173673/100877167982730207267, c_0011_0 - 1, c_0011_10 - 2358081756830754/17819672846269247*c_1001_2^14 - 19073140499742204/17819672846269247*c_1001_2^13 + 22554654038381519/17819672846269247*c_1001_2^12 + 50500750048679601/17819672846269247*c_1001_2^11 - 156614391486789389/17819672846269247*c_1001_2^10 + 20472082277495084/17819672846269247*c_1001_2^9 + 176897529394720807/17819672846269247*c_1001_2^8 - 58691587440946709/17819672846269247*c_1001_2^7 - 286740443870435800/17819672846269247*c_1001_2^6 + 258479066081529860/17819672846269247*c_1001_2^5 + 56108264370125776/17819672846269247*c_1001_2^4 - 192938163079685489/17819672846269247*c_1001_2^3 + 22421355497283024/17819672846269247*c_1001_2^2 + 58901572487862231/17819672846269247*c_1001_2 - 68766688407681530/17819672846269247, c_0011_11 - 11631592344139389/17819672846269247*c_1001_2^14 + 13658719794270348/17819672846269247*c_1001_2^13 + 23597353489969686/17819672846269247*c_1001_2^12 - 103904878202049583/17819672846269247*c_1001_2^11 + 79350951712724449/17819672846269247*c_1001_2^10 + 42155069797956322/17819672846269247*c_1001_2^9 - 102092844196734490/17819672846269247*c_1001_2^8 - 95463070105390038/17819672846269247*c_1001_2^7 + 271466622713319062/17819672846269247*c_1001_2^6 - 171662891945006987/17819672846269247*c_1001_2^5 - 103098849598759480/17819672846269247*c_1001_2^4 + 142355522676075971/17819672846269247*c_1001_2^3 - 7175058243664437/17819672846269247*c_1001_2^2 - 80472960918904234/17819672846269247*c_1001_2 + 42967599285445766/17819672846269247, c_0011_12 + 4452151993529859/17819672846269247*c_1001_2^14 - 14247196997246444/17819672846269247*c_1001_2^13 - 14404685601669956/17819672846269247*c_1001_2^12 + 68589076974370971/17819672846269247*c_1001_2^11 - 61756195238548373/17819672846269247*c_1001_2^10 - 74176402228442970/17819672846269247*c_1001_2^9 + 77143978735217679/17819672846269247*c_1001_2^8 + 86428467298463611/17819672846269247*c_1001_2^7 - 202264490203175852/17819672846269247*c_1001_2^6 + 35737882804347025/17819672846269247*c_1001_2^5 + 114200146878025719/17819672846269247*c_1001_2^4 - 79061910233990781/17819672846269247*c_1001_2^3 - 26098000018610171/17819672846269247*c_1001_2^2 + 33890945653649555/17819672846269247*c_1001_2 - 15484078461148856/17819672846269247, c_0011_3 - 18951738708569643/17819672846269247*c_1001_2^14 + 32481431012161060/17819672846269247*c_1001_2^13 + 45851263863884720/17819672846269247*c_1001_2^12 - 207943692604160404/17819672846269247*c_1001_2^11 + 151772944823982845/17819672846269247*c_1001_2^10 + 154192356115542226/17819672846269247*c_1001_2^9 - 204722166607748526/17819672846269247*c_1001_2^8 - 253608583287191693/17819672846269247*c_1001_2^7 + 528035144799409807/17819672846269247*c_1001_2^6 - 191773078700971835/17819672846269247*c_1001_2^5 - 243997178192572080/17819672846269247*c_1001_2^4 + 230949400540910737/17819672846269247*c_1001_2^3 + 30572119533670005/17819672846269247*c_1001_2^2 - 119479865967655683/17819672846269247*c_1001_2 + 75687092021002801/17819672846269247, c_0011_8 + 10878055422664680/17819672846269247*c_1001_2^14 - 20287842380891107/17819672846269247*c_1001_2^13 - 28909476634038901/17819672846269247*c_1001_2^12 + 119805812491335678/17819672846269247*c_1001_2^11 - 90896329982498558/17819672846269247*c_1001_2^10 - 97196200936831706/17819672846269247*c_1001_2^9 + 102254642887642817/17819672846269247*c_1001_2^8 + 146403296012543709/17819672846269247*c_1001_2^7 - 313584491488817295/17819672846269247*c_1001_2^6 + 101372901945241122/17819672846269247*c_1001_2^5 + 120108909294581357/17819672846269247*c_1001_2^4 - 115909172655321543/17819672846269247*c_1001_2^3 - 17409923647780251/17819672846269247*c_1001_2^2 + 55020330346917550/17819672846269247*c_1001_2 - 34959928310091970/17819672846269247, c_0011_9 - 9685754305282656/17819672846269247*c_1001_2^14 + 11291704308777650/17819672846269247*c_1001_2^13 + 36176641969413767/17819672846269247*c_1001_2^12 - 88417845498755803/17819672846269247*c_1001_2^11 + 6486287584895625/17819672846269247*c_1001_2^10 + 123197368708954042/17819672846269247*c_1001_2^9 - 17273107655267843/17819672846269247*c_1001_2^8 - 192989749833139500/17819672846269247*c_1001_2^7 + 140603402405063300/17819672846269247*c_1001_2^6 + 81362077842420866/17819672846269247*c_1001_2^5 - 113259691001856639/17819672846269247*c_1001_2^4 + 4020139174445435/17819672846269247*c_1001_2^3 + 39336185176213977/17819672846269247*c_1001_2^2 - 15612919506435918/17819672846269247*c_1001_2 - 568633417995720/17819672846269247, c_0101_0 - 1, c_0101_1 + 16131692329987320/17819672846269247*c_1001_2^14 + 211452025096522/17819672846269247*c_1001_2^13 - 55467500747696069/17819672846269247*c_1001_2^12 + 90705411103697951/17819672846269247*c_1001_2^11 + 73857191547147017/17819672846269247*c_1001_2^10 - 130849432858976965/17819672846269247*c_1001_2^9 - 41383877149984531/17819672846269247*c_1001_2^8 + 261975957019430157/17819672846269247*c_1001_2^7 - 51842450173089898/17819672846269247*c_1001_2^6 - 162916158407084506/17819672846269247*c_1001_2^5 + 146780319635250256/17819672846269247*c_1001_2^4 + 63633471807560391/17819672846269247*c_1001_2^3 - 56453005755809804/17819672846269247*c_1001_2^2 + 16120933890717107/17819672846269247*c_1001_2 + 41135856610647100/17819672846269247, c_0101_11 - 4628377840690197/17819672846269247*c_1001_2^14 - 4400368714655180/17819672846269247*c_1001_2^13 + 28488063402096795/17819672846269247*c_1001_2^12 - 8812172579992786/17819672846269247*c_1001_2^11 - 84938948250038883/17819672846269247*c_1001_2^10 + 76865123322206118/17819672846269247*c_1001_2^9 + 98637391855249830/17819672846269247*c_1001_2^8 - 121919020952962507/17819672846269247*c_1001_2^7 - 98060565577071596/17819672846269247*c_1001_2^6 + 201032000400527548/17819672846269247*c_1001_2^5 - 14356704516268815/17819672846269247*c_1001_2^4 - 122763814295058006/17819672846269247*c_1001_2^3 + 56754059802224451/17819672846269247*c_1001_2^2 + 26061929751508916/17819672846269247*c_1001_2 - 41945380858953913/17819672846269247, c_0110_10 - 9511643987012763/17819672846269247*c_1001_2^14 + 36868819080886000/17819672846269247*c_1001_2^13 + 19430541184588343/17819672846269247*c_1001_2^12 - 168914007173195915/17819672846269247*c_1001_2^11 + 197858102967164119/17819672846269247*c_1001_2^10 + 125798624813260701/17819672846269247*c_1001_2^9 - 234964492088005863/17819672846269247*c_1001_2^8 - 152979887410147098/17819672846269247*c_1001_2^7 + 539344954707888547/17819672846269247*c_1001_2^6 - 222498616529672074/17819672846269247*c_1001_2^5 - 221879257996988352/17819672846269247*c_1001_2^4 + 244438002922009317/17819672846269247*c_1001_2^3 + 36881518059188177/17819672846269247*c_1001_2^2 - 111384938165638399/17819672846269247*c_1001_2 + 76398531670268683/17819672846269247, c_1001_12 - 1, c_1001_2^15 - 13/9*c_1001_2^14 - 19/9*c_1001_2^13 + 29/3*c_1001_2^12 - 23/3*c_1001_2^11 - 38/9*c_1001_2^10 + 74/9*c_1001_2^9 + 82/9*c_1001_2^8 - 23*c_1001_2^7 + 44/3*c_1001_2^6 + 17/3*c_1001_2^5 - 100/9*c_1001_2^4 + 31/9*c_1001_2^3 + 5*c_1001_2^2 - 13/3*c_1001_2 + 17/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB