Magma V2.19-8 Wed Aug 21 2013 00:51:20 on localhost [Seed = 2328666111] Type ? for help. Type -D to quit. Loading file "L11a312__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a312 geometric_solution 12.01425637 oriented_manifold CS_known 0.0000000000000001 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 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 0 -1 1 -1 0 1 0 -4 0 0 4 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.525766711185 0.959851807844 0 3 2 4 0132 2103 2103 3120 1 0 1 1 0 -1 0 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 4 0 -4 1 0 -1 0 -1 1 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829890570376 0.657242366829 1 0 5 5 2103 0132 2103 0132 1 0 1 1 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 -3 0 3 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594549681902 0.560572909926 6 1 7 0 0132 2103 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 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805473561837 1.142128121948 1 5 0 6 3120 2103 0132 0132 1 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244098283241 0.570005660098 2 4 2 8 2103 2103 0132 0132 1 0 1 1 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 1 -1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109597421028 0.839518680932 3 7 4 9 0132 3120 0132 0132 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565447031858 0.601028848079 10 6 9 3 0132 3120 0132 0132 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 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 0.203553653430 0.528896955507 11 9 5 11 0132 0132 0132 2103 1 0 1 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 0 0 0 0 0 0 0 -4 0 1 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306008490631 0.683420532150 10 8 6 7 2103 0132 0132 0132 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 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 -0.012051158504 1.368803245551 7 12 9 11 0132 0132 2103 0132 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 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 0.731527780747 0.720385045713 8 12 10 8 0132 1302 0132 2103 1 0 1 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 0 0 0 0 0 0 0 4 0 -1 -3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306008490631 0.683420532150 12 10 12 11 2310 0132 3201 2031 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 0.821049983601 0.546154286388 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : negation(d['c_1001_6']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_6']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_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_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_1001_6']), 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : negation(d['c_1001_6']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_8']), '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_0011_10'], '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_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], '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_8'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 417830501783746298265432329/4635980966641066422629282*c_1100_0^17 + 43114178507548681764391569985/18543923866564265690517128*c_1100_0^1\ 6 + 342320150399505266919540872105/13907942899923199267887846*c_110\ 0_0^15 + 4011349452863422597760844547291/27815885799846398535775692\ *c_1100_0^14 + 15425539330629925813769703751819/2781588579984639853\ 5775692*c_1100_0^13 + 42755629402329820864399412298449/278158857998\ 46398535775692*c_1100_0^12 + 683817221862401176375815658308/2107264\ 07574593928301331*c_1100_0^11 + 37508063208528161029233386329285/69\ 53971449961599633943923*c_1100_0^10 + 791296692445596539369295127601/109944212647614223461564*c_1100_0^9 + 108257493431593840764814032921325/13907942899923199267887846*c_1100\ _0^8 + 95050365579780612696366937294567/13907942899923199267887846*\ c_1100_0^7 + 134709061833834692752824715519453/27815885799846398535\ 775692*c_1100_0^6 + 76028012746940221148789560050277/27815885799846\ 398535775692*c_1100_0^5 + 1013304867776433340846327626105/842905630\ 298375713205324*c_1100_0^4 + 5565639861727460558060367250111/139079\ 42899923199267887846*c_1100_0^3 + 675124245544441146582403987477/69\ 53971449961599633943923*c_1100_0^2 + 153060882562044820385480245375/9271961933282132845258564*c_1100_0 + 90638441678673308280428058581/55631771599692797071551384, c_0011_0 - 1, c_0011_10 - 50041335762463033089/245960207265356204612*c_1100_0^17 - 657493326646875928407/122980103632678102306*c_1100_0^16 - 7100669858825868290229/122980103632678102306*c_1100_0^15 - 21124034288952484081928/61490051816339051153*c_1100_0^14 - 162372180287702952297125/122980103632678102306*c_1100_0^13 - 220819326504586424987674/61490051816339051153*c_1100_0^12 - 898410503952510625837151/122980103632678102306*c_1100_0^11 - 1413448432306771150779079/122980103632678102306*c_1100_0^10 - 1752113494783048576811387/122980103632678102306*c_1100_0^9 - 1723343386302482640899273/122980103632678102306*c_1100_0^8 - 1340448838760296202044641/122980103632678102306*c_1100_0^7 - 406704655284034786814981/61490051816339051153*c_1100_0^6 - 375873915865538171194107/122980103632678102306*c_1100_0^5 - 64008886628850328160869/61490051816339051153*c_1100_0^4 - 31092793593361801054233/122980103632678102306*c_1100_0^3 - 5077945883401342043617/122980103632678102306*c_1100_0^2 - 649451714098575516841/245960207265356204612*c_1100_0 + 53122072262916503303/61490051816339051153, c_0011_11 - 28783744946733722325/122980103632678102306*c_1100_0^17 - 680569326327105212319/122980103632678102306*c_1100_0^16 - 3143356029777679370497/61490051816339051153*c_1100_0^15 - 14897148586142057201156/61490051816339051153*c_1100_0^14 - 42691796198953247068653/61490051816339051153*c_1100_0^13 - 156019524248567042455615/122980103632678102306*c_1100_0^12 - 83296293742339799257960/61490051816339051153*c_1100_0^11 - 11465573065468855707156/61490051816339051153*c_1100_0^10 + 142232384909488147951203/61490051816339051153*c_1100_0^9 + 622903977576163169102897/122980103632678102306*c_1100_0^8 + 400317212031850803032323/61490051816339051153*c_1100_0^7 + 364893861876637925047328/61490051816339051153*c_1100_0^6 + 245996668125357455892992/61490051816339051153*c_1100_0^5 + 246575980333401523536555/122980103632678102306*c_1100_0^4 + 45470090769204556138794/61490051816339051153*c_1100_0^3 + 12567761554704611978747/61490051816339051153*c_1100_0^2 + 5180780386970892921629/122980103632678102306*c_1100_0 + 342487619217072694363/61490051816339051153, c_0011_4 + 49741384041701962020/61490051816339051153*c_1100_0^17 + 5029356111775378149765/245960207265356204612*c_1100_0^16 + 25888651421192972063631/122980103632678102306*c_1100_0^15 + 73212011911362519955315/61490051816339051153*c_1100_0^14 + 271796357104439233161403/61490051816339051153*c_1100_0^13 + 1459832337476800862948743/122980103632678102306*c_1100_0^12 + 3001989404799419922086785/122980103632678102306*c_1100_0^11 + 2444312124285062839934343/61490051816339051153*c_1100_0^10 + 6428409833994230829424635/122980103632678102306*c_1100_0^9 + 6889493956516193609000781/122980103632678102306*c_1100_0^8 + 6025868796341036533730373/122980103632678102306*c_1100_0^7 + 2136577559388251680324455/61490051816339051153*c_1100_0^6 + 1210634120580000390160122/61490051816339051153*c_1100_0^5 + 1068553183576246719830471/122980103632678102306*c_1100_0^4 + 354300891857006553145071/122980103632678102306*c_1100_0^3 + 41871879719875565412103/61490051816339051153*c_1100_0^2 + 13664418244265228734981/122980103632678102306*c_1100_0 + 2433138966067289710689/245960207265356204612, c_0011_5 + 134619123594255848115/245960207265356204612*c_1100_0^17 + 3414133063986415264227/245960207265356204612*c_1100_0^16 + 17640200163357466014157/122980103632678102306*c_1100_0^15 + 100070193255966728947543/122980103632678102306*c_1100_0^14 + 371341748939306251728153/122980103632678102306*c_1100_0^13 + 496196120607394092743030/61490051816339051153*c_1100_0^12 + 1010703039663861270379951/61490051816339051153*c_1100_0^11 + 1623150448149882958109998/61490051816339051153*c_1100_0^10 + 2096462694003720397177829/61490051816339051153*c_1100_0^9 + 2198974522158563838224527/61490051816339051153*c_1100_0^8 + 3753010461080501249249843/122980103632678102306*c_1100_0^7 + 2590614684180278237377077/122980103632678102306*c_1100_0^6 + 1427692229685776937309011/122980103632678102306*c_1100_0^5 + 306996777273609004473258/61490051816339051153*c_1100_0^4 + 99798568789553565634146/61490051816339051153*c_1100_0^3 + 23355695794529396258866/61490051816339051153*c_1100_0^2 + 14842970099418348827917/245960207265356204612*c_1100_0 + 1150259562338984450013/245960207265356204612, c_0101_0 - 1, c_0101_1 - 134619123594255848115/245960207265356204612*c_1100_0^17 - 3414133063986415264227/245960207265356204612*c_1100_0^16 - 17640200163357466014157/122980103632678102306*c_1100_0^15 - 100070193255966728947543/122980103632678102306*c_1100_0^14 - 371341748939306251728153/122980103632678102306*c_1100_0^13 - 496196120607394092743030/61490051816339051153*c_1100_0^12 - 1010703039663861270379951/61490051816339051153*c_1100_0^11 - 1623150448149882958109998/61490051816339051153*c_1100_0^10 - 2096462694003720397177829/61490051816339051153*c_1100_0^9 - 2198974522158563838224527/61490051816339051153*c_1100_0^8 - 3753010461080501249249843/122980103632678102306*c_1100_0^7 - 2590614684180278237377077/122980103632678102306*c_1100_0^6 - 1427692229685776937309011/122980103632678102306*c_1100_0^5 - 306996777273609004473258/61490051816339051153*c_1100_0^4 - 99798568789553565634146/61490051816339051153*c_1100_0^3 - 23355695794529396258866/61490051816339051153*c_1100_0^2 - 15088930306683705032529/245960207265356204612*c_1100_0 - 1396219769604340654625/245960207265356204612, c_0101_10 + 64346412572551999965/245960207265356204612*c_1100_0^17 + 807611523894481442769/122980103632678102306*c_1100_0^16 + 4124225628917753024737/61490051816339051153*c_1100_0^15 + 46353830566758310963087/122980103632678102306*c_1100_0^14 + 172250965269572214594653/122980103632678102306*c_1100_0^13 + 467440096262012677462683/122980103632678102306*c_1100_0^12 + 980583325471697381326883/122980103632678102306*c_1100_0^11 + 821161676135179881824345/61490051816339051153*c_1100_0^10 + 2235484445986790035068977/122980103632678102306*c_1100_0^9 + 2491544912199065932551727/122980103632678102306*c_1100_0^8 + 1136429167630267642240265/61490051816339051153*c_1100_0^7 + 1682540434596225123271833/122980103632678102306*c_1100_0^6 + 993576011474223843011233/122980103632678102306*c_1100_0^5 + 454559629029028710883955/122980103632678102306*c_1100_0^4 + 154703754277899421876779/122980103632678102306*c_1100_0^3 + 18516183925346169153237/61490051816339051153*c_1100_0^2 + 12239906181846752437433/245960207265356204612*c_1100_0 + 259229799115737264016/61490051816339051153, c_0101_11 - 63953259232176029589/245960207265356204612*c_1100_0^17 - 1588154583726610894167/245960207265356204612*c_1100_0^16 - 3965596435332799700378/61490051816339051153*c_1100_0^15 - 42619764557260928007525/122980103632678102306*c_1100_0^14 - 73324852436608917091688/61490051816339051153*c_1100_0^13 - 177642855246086723827034/61490051816339051153*c_1100_0^12 - 639827784428104452013473/122980103632678102306*c_1100_0^11 - 440770959664486831326801/61490051816339051153*c_1100_0^10 - 938844890841025916084887/122980103632678102306*c_1100_0^9 - 766411180653355148172287/122980103632678102306*c_1100_0^8 - 231622490742030255725732/61490051816339051153*c_1100_0^7 - 188323067622313848289165/122980103632678102306*c_1100_0^6 - 17360402729819791808872/61490051816339051153*c_1100_0^5 + 5706812491078702523489/61490051816339051153*c_1100_0^4 + 10717992132664718906543/122980103632678102306*c_1100_0^3 + 2056761138522211828527/61490051816339051153*c_1100_0^2 + 2411146241866524421611/245960207265356204612*c_1100_0 + 395973186847363801205/245960207265356204612, c_0101_12 - 91876717434847243155/245960207265356204612*c_1100_0^17 - 2412573062112535398837/245960207265356204612*c_1100_0^16 - 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