Magma V2.19-8 Wed Aug 21 2013 01:03:07 on localhost [Seed = 3203966628] Type ? for help. Type -D to quit. Loading file "L14n17647__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17647 geometric_solution 11.21360495 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795909175602 0.494704558039 0 0 5 4 0132 1230 0132 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 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 0.712643298198 1.727406848961 6 0 7 6 0132 0132 0132 2031 1 0 1 1 0 0 0 0 0 0 1 -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 1 0 -1 -1 0 0 1 10 -1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.093708111661 0.563313933070 8 9 0 4 0132 0132 0132 0321 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 -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 1.059426024203 0.681175558621 5 3 1 10 1230 0321 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 -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 -0.642378477356 0.772249149223 8 4 11 1 3120 3012 0132 0132 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 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 0.079518854233 0.604371409354 2 2 7 12 0132 1302 1302 0132 0 0 1 1 0 1 0 -1 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 0 1 1 0 -1 0 0 1 0 -1 -10 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712643298198 1.727406848961 6 12 9 2 2031 2031 2103 0132 1 0 1 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 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.054547346280 0.807541346100 3 12 11 5 0132 0321 3012 3120 0 1 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 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 0.190508757659 1.321372795810 7 3 10 12 2103 0132 1302 2031 1 0 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 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 0.003545378434 0.721056314160 9 11 4 11 2031 1023 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.802108863685 0.693302871142 10 8 10 5 1023 1230 0132 0132 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637710568547 0.522350904769 7 9 6 8 1302 1302 0132 0321 0 0 1 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 0 0 0 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 0.385282178010 0.356877599812 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_5']), 'c_1010_11' : negation(d['c_0011_4']), 'c_1010_10' : d['c_0101_5'], 's_3_11' : 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_0011_5'], '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_10'], 'c_1100_8' : negation(d['c_0101_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0110_9']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0110_9']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_5']), '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' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_4']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : negation(d['c_0011_7'])})} 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_12, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 3545797101083966453943017/6983213114087290740736*c_1100_1^17 - 21630652037987820918212881/6983213114087290740736*c_1100_1^16 - 80240340869448999655237137/6983213114087290740736*c_1100_1^15 - 28089318291823964704416413/872901639260911342592*c_1100_1^14 - 881047777074326987795090659/13966426228174581481472*c_1100_1^13 - 213643804100328905670546119/1745803278521822685184*c_1100_1^12 - 55441962030120820374304437/436450819630455671296*c_1100_1^11 - 387337008700058621642853301/1745803278521822685184*c_1100_1^10 - 5911147536950756305776540333/27932852456349162962944*c_1100_1^9 + 3543018317753687166410316579/27932852456349162962944*c_1100_1^8 - 5964700274632479247329921015/6983213114087290740736*c_1100_1^7 + 3019065497258208070473908405/1745803278521822685184*c_1100_1^6 - 2157671931912938536337620101/872901639260911342592*c_1100_1^5 + 24074802456215013808411551407/13966426228174581481472*c_1100_1^4 - 2371243184969964015909443291/3491606557043645370368*c_1100_1^3 + 207524643252552129055082375/3491606557043645370368*c_1100_1^2 - 499409608865974127064734993/27932852456349162962944*c_1100_1 + 57937353650817313175217563/27932852456349162962944, c_0011_0 - 1, c_0011_10 - 79107935722765755182537/1745803278521822685184*c_1100_1^17 - 483768892691820912947517/1745803278521822685184*c_1100_1^16 - 1796151557749250437366713/1745803278521822685184*c_1100_1^15 - 1258167566958777307303775/436450819630455671296*c_1100_1^14 - 19750829359011651392817995/3491606557043645370368*c_1100_1^13 - 9567801587812375178621097/872901639260911342592*c_1100_1^12 - 9963200120365184221987391/872901639260911342592*c_1100_1^11 - 17286687816887323959658229/872901639260911342592*c_1100_1^10 - 132788625666677627427176389/6983213114087290740736*c_1100_1^9 + 79143351571652503663274607/6983213114087290740736*c_1100_1^8 - 132301959635215813672682503/1745803278521822685184*c_1100_1^7 + 8346201463772547014619035/54556352453806958912*c_1100_1^6 - 94745597209798032793844275/436450819630455671296*c_1100_1^5 + 516886932263201683457022791/3491606557043645370368*c_1100_1^4 - 5970906522937665247221563/109112704907613917824*c_1100_1^3 + 803064485507330009495593/436450819630455671296*c_1100_1^2 - 3652126392823879114905497/6983213114087290740736*c_1100_1 + 683916715576352401170119/6983213114087290740736, c_0011_12 - 79107935722765755182537/1745803278521822685184*c_1100_1^17 - 483768892691820912947517/1745803278521822685184*c_1100_1^16 - 1796151557749250437366713/1745803278521822685184*c_1100_1^15 - 1258167566958777307303775/436450819630455671296*c_1100_1^14 - 19750829359011651392817995/3491606557043645370368*c_1100_1^13 - 9567801587812375178621097/872901639260911342592*c_1100_1^12 - 9963200120365184221987391/872901639260911342592*c_1100_1^11 - 17286687816887323959658229/872901639260911342592*c_1100_1^10 - 132788625666677627427176389/6983213114087290740736*c_1100_1^9 + 79143351571652503663274607/6983213114087290740736*c_1100_1^8 - 132301959635215813672682503/1745803278521822685184*c_1100_1^7 + 8346201463772547014619035/54556352453806958912*c_1100_1^6 - 94745597209798032793844275/436450819630455671296*c_1100_1^5 + 516886932263201683457022791/3491606557043645370368*c_1100_1^4 - 5970906522937665247221563/109112704907613917824*c_1100_1^3 + 803064485507330009495593/436450819630455671296*c_1100_1^2 - 3652126392823879114905497/6983213114087290740736*c_1100_1 + 683916715576352401170119/6983213114087290740736, c_0011_3 + 77708666798671541898811/1745803278521822685184*c_1100_1^17 + 475315322577010437749023/1745803278521822685184*c_1100_1^16 + 1765017229011245333931051/1745803278521822685184*c_1100_1^15 + 1236504092392961543268615/436450819630455671296*c_1100_1^14 + 19414710711160119159993969/3491606557043645370368*c_1100_1^13 + 9405044753733292025213445/872901639260911342592*c_1100_1^12 + 9799420048784826291104379/872901639260911342592*c_1100_1^11 + 16993755611423485531973321/872901639260911342592*c_1100_1^10 + 130614032452274162901443999/6983213114087290740736*c_1100_1^9 - 77577091527962082100539637/6983213114087290740736*c_1100_1^8 + 129932473957059179567870793/1745803278521822685184*c_1100_1^7 - 65547056056338023328031707/436450819630455671296*c_1100_1^6 + 11622984889097055587254813/54556352453806958912*c_1100_1^5 - 506801427975075484198657933/3491606557043645370368*c_1100_1^4 + 5846440858761968174661737/109112704907613917824*c_1100_1^3 - 765382746712250272701223/436450819630455671296*c_1100_1^2 + 3616889270380462876992043/6983213114087290740736*c_1100_1 - 670942020717653332398893/6983213114087290740736, c_0011_4 + 8786819043242168477657/872901639260911342592*c_1100_1^17 + 53762489616276657247853/872901639260911342592*c_1100_1^16 + 199683312806906725769481/872901639260911342592*c_1100_1^15 + 139917714498223272771935/218225409815227835648*c_1100_1^14 + 2197640223718722863918139/1745803278521822685184*c_1100_1^13 + 1064675945619201979176433/436450819630455671296*c_1100_1^12 + 1110465866501052888597975/436450819630455671296*c_1100_1^11 + 1924444240680246120541189/436450819630455671296*c_1100_1^10 + 14807499450326024827089685/3491606557043645370368*c_1100_1^9 - 8729971174994725941772607/3491606557043645370368*c_1100_1^8 + 14691964777389742839211191/872901639260911342592*c_1100_1^7 - 3702049656211187257283149/109112704907613917824*c_1100_1^6 + 10501577975599049048148611/218225409815227835648*c_1100_1^5 - 57159816560624008903605895/1745803278521822685184*c_1100_1^4 + 329114206103098230250821/27278176226903479456*c_1100_1^3 - 82744200974343088486351/218225409815227835648*c_1100_1^2 + 416760020476299102772393/3491606557043645370368*c_1100_1 - 76660881920669359452791/3491606557043645370368, c_0011_5 + 2424287825107462083483/436450819630455671296*c_1100_1^17 + 14802275053055954746251/436450819630455671296*c_1100_1^16 + 54900973996950529574659/436450819630455671296*c_1100_1^15 + 2401455723282777864963/6819544056725869864*c_1100_1^14 + 602254137311453113936345/872901639260911342592*c_1100_1^13 + 36464008171691478176955/27278176226903479456*c_1100_1^12 + 151217701962943519203531/109112704907613917824*c_1100_1^11 + 131666592972550986703705/54556352453806958912*c_1100_1^10 + 4028169024336365351004887/1745803278521822685184*c_1100_1^9 - 2465588017616411029608641/1745803278521822685184*c_1100_1^8 + 4060064592259269509813693/436450819630455671296*c_1100_1^7 - 2055380211315212605285149/109112704907613917824*c_1100_1^6 + 365283769644386954254407/13639088113451739728*c_1100_1^5 - 16044007321840261745125293/872901639260911342592*c_1100_1^4 + 1496597349414574929534647/218225409815227835648*c_1100_1^3 - 59986441037118525548003/218225409815227835648*c_1100_1^2 + 109029449034083114817059/1745803278521822685184*c_1100_1 - 21706918451433889801737/1745803278521822685184, c_0011_7 + 1, c_0101_0 - 5528147009389601742739/872901639260911342592*c_1100_1^17 - 33803242844663128445731/872901639260911342592*c_1100_1^16 - 125497534997486497363363/872901639260911342592*c_1100_1^15 - 43951691214363442285737/109112704907613917824*c_1100_1^14 - 1379775400846441930949793/1745803278521822685184*c_1100_1^13 - 167095861697673743458809/109112704907613917824*c_1100_1^12 - 173948809936514502622109/109112704907613917824*c_1100_1^11 - 37733722098190035814645/13639088113451739728*c_1100_1^10 - 9272526892726785549604191/3491606557043645370368*c_1100_1^9 + 5538042182094301823739945/3491606557043645370368*c_1100_1^8 - 9245533007576170574464771/872901639260911342592*c_1100_1^7 + 9334475576309562512628709/436450819630455671296*c_1100_1^6 - 13246315502926887333264015/436450819630455671296*c_1100_1^5 + 36145771379404076895580593/1745803278521822685184*c_1100_1^4 - 1670736172915466212911957/218225409815227835648*c_1100_1^3 + 28332800341966521805971/109112704907613917824*c_1100_1^2 - 248087484905944122706707/3491606557043645370368*c_1100_1 + 46197371465465505706169/3491606557043645370368, c_0101_1 - 4797470223728305158909/1745803278521822685184*c_1100_1^17 - 29329252608848746263457/1745803278521822685184*c_1100_1^16 - 108869417176700745842829/1745803278521822685184*c_1100_1^15 - 76244710719807173865339/436450819630455671296*c_1100_1^14 - 1196456642444024461091559/3491606557043645370368*c_1100_1^13 - 579533242030976131189365/872901639260911342592*c_1100_1^12 - 602823029875975637292971/872901639260911342592*c_1100_1^11 - 1046576379961445010101473/872901639260911342592*c_1100_1^10 - 8030710379640445905999145/6983213114087290740736*c_1100_1^9 + 4825272169431269447658811/6983213114087290740736*c_1100_1^8 - 8022236485962870498231979/1745803278521822685184*c_1100_1^7 + 2026545037087439916751349/218225409815227835648*c_1100_1^6 - 5751247021713823323726877/436450819630455671296*c_1100_1^5 + 31410727200540237144542627/3491606557043645370368*c_1100_1^4 - 726035389766420885743387/218225409815227835648*c_1100_1^3 + 50036570488877229997911/436450819630455671296*c_1100_1^2 - 226433079406373209141677/6983213114087290740736*c_1100_1 + 45245062919986437467219/6983213114087290740736, c_0101_11 + 7841926572022557398005/1745803278521822685184*c_1100_1^17 + 47880591750897906342545/1745803278521822685184*c_1100_1^16 + 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