Magma V2.19-8 Wed Aug 21 2013 00:42:44 on localhost [Seed = 206183283] Type ? for help. Type -D to quit. Loading file "K14n4732__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n4732 geometric_solution 11.39338769 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2310 0132 0 0 0 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 -1 0 1 0 0 0 0 16 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558074263757 1.125623102583 0 0 5 4 0132 3201 0132 0132 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 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302207455261 0.769748547136 5 0 6 4 2103 0132 0132 2103 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 1 0 -1 17 0 -17 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 0.156146737118 0.444091931413 7 8 0 5 0132 0132 0132 0321 0 0 0 0 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 -1 1 0 0 0 0 0 16 0 -16 -17 1 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739127850605 0.471233385222 8 9 1 2 2310 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.534384651133 0.811346723020 7 3 2 1 1302 0321 2103 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 17 0 -17 0 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038058485732 0.613288967238 10 8 9 2 0132 0321 2103 0132 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 -17 17 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343138215289 0.557610500968 3 5 7 7 0132 2031 1230 3012 0 0 0 0 0 0 -1 1 0 0 -1 1 -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 17 -17 0 0 17 -17 17 0 0 -17 0 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.038058485732 0.613288967238 11 3 4 6 0132 0132 3201 0321 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 0 0 0 0 0 0 1 -1 1 -1 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855291974109 1.185824683551 6 4 12 11 2103 0132 0132 0213 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 -1 1 0 17 0 -1 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.103467776816 0.524856666539 6 12 11 12 0132 1023 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.218682553672 1.275951558964 8 10 12 9 0132 0213 0213 0213 0 0 0 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 -16 0 0 16 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543597307430 0.771653533820 10 11 10 9 1023 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 -0.218682553672 1.275951558964 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_0']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : negation(d['c_1001_0']), 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : 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_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_1100_9' : d['c_1010_11'], 'c_1100_8' : negation(d['c_0011_4']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_2']), 'c_1100_4' : negation(d['c_0110_2']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : d['c_1010_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_0']), '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_1010_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' : negation(d['c_0011_4']), '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_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], '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' : negation(d['c_0101_8']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_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_12, c_0101_8, c_0110_2, c_1001_0, c_1001_2, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 4921115988597792679/20223600182071375*c_1010_11^19 + 1716297154390828544/4044720036414275*c_1010_11^18 + 2577986135512342728/20223600182071375*c_1010_11^17 - 25378687866459194332/20223600182071375*c_1010_11^16 + 16846344707712678676/4044720036414275*c_1010_11^15 - 126413266212617128418/20223600182071375*c_1010_11^14 - 25885106173926266329/4044720036414275*c_1010_11^13 + 637802527076844898432/20223600182071375*c_1010_11^12 - 149517455721305968784/4044720036414275*c_1010_11^11 + 389108877887955729781/20223600182071375*c_1010_11^10 - 373296380055780557657/20223600182071375*c_1010_11^9 + 708626593906988126071/20223600182071375*c_1010_11^8 - 125880096402141229922/4044720036414275*c_1010_11^7 + 281922707162158383808/20223600182071375*c_1010_11^6 - 192485362183781831947/20223600182071375*c_1010_11^5 + 41107543146910954847/4044720036414275*c_1010_11^4 - 105063447073019259008/20223600182071375*c_1010_11^3 + 60602193672714069321/20223600182071375*c_1010_11^2 - 37359443382324274297/20223600182071375*c_1010_11 + 8508034441306908501/20223600182071375, c_0011_0 - 1, c_0011_10 + c_1010_11, c_0011_11 - 291352294123922/161788801456571*c_1010_11^19 + 159125075235889/161788801456571*c_1010_11^18 + 643134138844249/161788801456571*c_1010_11^17 - 1143017298352251/161788801456571*c_1010_11^16 + 3283535535612124/161788801456571*c_1010_11^15 - 2073061057548669/161788801456571*c_1010_11^14 - 14717867048092608/161788801456571*c_1010_11^13 + 25939211892872312/161788801456571*c_1010_11^12 - 2647808715817995/161788801456571*c_1010_11^11 - 15788385949226557/161788801456571*c_1010_11^10 - 9473501886571255/161788801456571*c_1010_11^9 + 23002286087777413/161788801456571*c_1010_11^8 + 4976461257869280/161788801456571*c_1010_11^7 - 14553238592799488/161788801456571*c_1010_11^6 - 2238557100646637/161788801456571*c_1010_11^5 + 4091742219943897/161788801456571*c_1010_11^4 + 4426578389369905/161788801456571*c_1010_11^3 - 1012794459158570/161788801456571*c_1010_11^2 + 642687708540847/161788801456571*c_1010_11 - 585825186682610/161788801456571, c_0011_4 - 98488487466804/161788801456571*c_1010_11^19 + 12074813188124/161788801456571*c_1010_11^18 + 239482490566836/161788801456571*c_1010_11^17 - 304015821051269/161788801456571*c_1010_11^16 + 941903648798291/161788801456571*c_1010_11^15 - 198392150986576/161788801456571*c_1010_11^14 - 5286365714740900/161788801456571*c_1010_11^13 + 6712667344256373/161788801456571*c_1010_11^12 + 2878391208273373/161788801456571*c_1010_11^11 - 6341082399393541/161788801456571*c_1010_11^10 - 5062212904927461/161788801456571*c_1010_11^9 + 7623959532527045/161788801456571*c_1010_11^8 + 3455062759026395/161788801456571*c_1010_11^7 - 4590469826094179/161788801456571*c_1010_11^6 - 1926033355183462/161788801456571*c_1010_11^5 + 1689609450227405/161788801456571*c_1010_11^4 + 1444440757099473/161788801456571*c_1010_11^3 - 87086870447569/161788801456571*c_1010_11^2 + 387112565242360/161788801456571*c_1010_11 - 120264118036555/161788801456571, c_0011_5 + 86413674278680/161788801456571*c_1010_11^19 - 42505515633228/161788801456571*c_1010_11^18 - 188426616282751/161788801456571*c_1010_11^17 + 338446688270161/161788801456571*c_1010_11^16 - 983469698615072/161788801456571*c_1010_11^15 + 558918316334308/161788801456571*c_1010_11^14 + 4416531739492479/161788801456571*c_1010_11^13 - 7605838606679965/161788801456571*c_1010_11^12 + 825727101252517/161788801456571*c_1010_11^11 + 4865235929993853/161788801456571*c_1010_11^10 + 1436981314418923/161788801456571*c_1010_11^9 - 5326344020895671/161788801456571*c_1010_11^8 - 1121862446980453/161788801456571*c_1010_11^7 + 3403360667185522/161788801456571*c_1010_11^6 + 83183324175067/161788801456571*c_1010_11^5 - 656532857365041/161788801456571*c_1010_11^4 - 799309516753667/161788801456571*c_1010_11^3 - 253435904298519/161788801456571*c_1010_11^2 - 175201344363857/161788801456571*c_1010_11 + 98488487466804/161788801456571, c_0101_0 + 1, c_0101_1 + 68989694815854/161788801456571*c_1010_11^19 - 67183254482046/161788801456571*c_1010_11^18 - 149952370326832/161788801456571*c_1010_11^17 + 342725539334484/161788801456571*c_1010_11^16 - 871823470314571/161788801456571*c_1010_11^15 + 780160299623072/161788801456571*c_1010_11^14 + 3444924213777400/161788801456571*c_1010_11^13 - 7769642087192617/161788801456571*c_1010_11^12 + 2682582186184465/161788801456571*c_1010_11^11 + 4543403760041296/161788801456571*c_1010_11^10 + 140472848795789/161788801456571*c_1010_11^9 - 6100391579012496/161788801456571*c_1010_11^8 + 64924935454741/161788801456571*c_1010_11^7 + 4695342099949807/161788801456571*c_1010_11^6 - 576309403534945/161788801456571*c_1010_11^5 - 1460026405892448/161788801456571*c_1010_11^4 - 795529936949756/161788801456571*c_1010_11^3 + 524466104548993/161788801456571*c_1010_11^2 + 17515423719539/161788801456571*c_1010_11 + 109245027215592/161788801456571, c_0101_12 - 181420051778825/161788801456571*c_1010_11^19 + 114325752647310/161788801456571*c_1010_11^18 + 395337592135548/161788801456571*c_1010_11^17 - 740903643175449/161788801456571*c_1010_11^16 + 2097536466389518/161788801456571*c_1010_11^15 - 1473162348452790/161788801456571*c_1010_11^14 - 9082668305169798/161788801456571*c_1010_11^13 + 16899596782861195/161788801456571*c_1010_11^12 - 2844514973896165/161788801456571*c_1010_11^11 - 9557037034935558/161788801456571*c_1010_11^10 - 5352009590781606/161788801456571*c_1010_11^9 + 14383410134631007/161788801456571*c_1010_11^8 + 2459128537417758/161788801456571*c_1010_11^7 - 8974819489594928/161788801456571*c_1010_11^6 - 1034149281177917/161788801456571*c_1010_11^5 + 2440431715885212/161788801456571*c_1010_11^4 + 2606385367177772/161788801456571*c_1010_11^3 - 674753765114319/161788801456571*c_1010_11^2 + 459857147830509/161788801456571*c_1010_11 - 359056567541262/161788801456571, c_0101_8 + 347660843232470/161788801456571*c_1010_11^19 - 204174487387124/161788801456571*c_1010_11^18 - 770956159136159/161788801456571*c_1010_11^17 + 1404880108997686/161788801456571*c_1010_11^16 - 3936613869344855/161788801456571*c_1010_11^15 + 2602488360197479/161788801456571*c_1010_11^14 + 17585045939266536/161788801456571*c_1010_11^13 - 31799890144629873/161788801456571*c_1010_11^12 + 3743918484662329/161788801456571*c_1010_11^11 + 19742865995843583/161788801456571*c_1010_11^10 + 10749523561446590/161788801456571*c_1010_11^9 - 28292660921700796/161788801456571*c_1010_11^8 - 5566830999579977/161788801456571*c_1010_11^7 + 17754061202454394/161788801456571*c_1010_11^6 + 2809358291734288/161788801456571*c_1010_11^5 - 5045267927265587/161788801456571*c_1010_11^4 - 5435351334838333/161788801456571*c_1010_11^3 + 1106761726871523/161788801456571*c_1010_11^2 - 723795087216901/161788801456571*c_1010_11 + 736191089966136/161788801456571, c_0110_2 + 154213366807108/161788801456571*c_1010_11^19 - 53592735408884/161788801456571*c_1010_11^18 - 372986683599173/161788801456571*c_1010_11^17 + 555302514729875/161788801456571*c_1010_11^16 - 1571476164005612/161788801456571*c_1010_11^15 + 674599283691849/161788801456571*c_1010_11^14 + 8210930943781278/161788801456571*c_1010_11^13 - 12365567397446945/161788801456571*c_1010_11^12 - 2262246244140892/161788801456571*c_1010_11^11 + 10548671423218177/161788801456571*c_1010_11^10 + 6311013773344425/161788801456571*c_1010_11^9 - 12653310095078745/161788801456571*c_1010_11^8 - 4499540821228539/161788801456571*c_1010_11^7 + 7889767301400697/161788801456571*c_1010_11^6 + 2788999312374258/161788801456571*c_1010_11^5 - 2606598825712313/161788801456571*c_1010_11^4 - 2492620601795592/161788801456571*c_1010_11^3 + 73009968806258/161788801456571*c_1010_11^2 - 339341164331261/161788801456571*c_1010_11 + 241392972302581/161788801456571, c_1001_0 + 291352294123922/161788801456571*c_1010_11^19 - 159125075235889/161788801456571*c_1010_11^18 - 643134138844249/161788801456571*c_1010_11^17 + 1143017298352251/161788801456571*c_1010_11^16 - 3283535535612124/161788801456571*c_1010_11^15 + 2073061057548669/161788801456571*c_1010_11^14 + 14717867048092608/161788801456571*c_1010_11^13 - 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