Magma V2.19-8 Tue Aug 20 2013 17:57:20 on localhost [Seed = 4223291271] Type ? for help. Type -D to quit. Loading file "9_23__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9_23 geometric_solution 10.61134829 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 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 -1 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.003389849844 1.348129817803 0 4 5 4 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.225827668592 0.372265320838 0 0 7 6 2031 0132 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 -1 0 1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.001865152241 0.741763637454 8 5 0 9 0132 3012 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 -1 1 0 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 0.355277173213 0.477341634328 1 1 10 11 3012 0132 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 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 1.049121658106 0.504476322401 3 11 9 1 1230 0132 2103 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 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 0.808797662639 1.963635913458 11 10 2 7 3120 1230 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.003389849844 1.348129817803 9 11 6 2 3012 2031 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641332976943 0.870788183475 3 10 9 10 0132 1023 2310 0321 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 -1 0 1 -1 0 1 0 1 5 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355277173213 0.477341634328 5 8 3 7 2103 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.404398831319 0.981817956729 8 8 6 4 1023 0321 3012 0132 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 -1 1 0 1 0 -1 0 -5 6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.001865152241 0.741763637454 7 5 4 6 1302 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820666488471 0.435394091737 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0110_11']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0101_4'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), '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' : 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' : negation(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_6']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_0110_11'], 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0110_11'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_2'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_4'], 's_3_1' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_11']})} 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_6, c_0011_7, c_0101_10, c_0101_2, c_0101_4, c_0101_5, c_0101_6, c_0110_11, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 1 Groebner basis: [ t - 1/432, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 2, c_0011_6 + 2, c_0011_7 + 3, c_0101_10 - 3, c_0101_2 - 3, c_0101_4 + 1, c_0101_5 + 1, c_0101_6 + 1, c_0110_11 - 1, c_1001_1 - 4 ], 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_6, c_0011_7, c_0101_10, c_0101_2, c_0101_4, c_0101_5, c_0101_6, c_0110_11, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 3773/8*c_1001_1^4 - 13637/8*c_1001_1^3 + 87/8*c_1001_1^2 + 18929/4*c_1001_1 - 2759, c_0011_0 - 1, c_0011_10 - 1/2*c_1001_1^4 - 3*c_1001_1^3 - 5*c_1001_1^2 + 3/2*c_1001_1 + 5, c_0011_11 - 1/4*c_1001_1^4 - 7/4*c_1001_1^3 - 15/4*c_1001_1^2 + 4, c_0011_6 + 1/4*c_1001_1^4 + 7/4*c_1001_1^3 + 15/4*c_1001_1^2 - 4, c_0011_7 + 1/2*c_1001_1^4 + 3*c_1001_1^3 + 5*c_1001_1^2 - 1/2*c_1001_1 - 5, c_0101_10 + 1/2*c_1001_1^4 + 5/2*c_1001_1^3 + 7/2*c_1001_1^2 - c_1001_1 - 3, c_0101_2 + 1/2*c_1001_1^4 + 5/2*c_1001_1^3 + 7/2*c_1001_1^2 - c_1001_1 - 3, c_0101_4 + 1, c_0101_5 - 1/2*c_1001_1^4 - 3*c_1001_1^3 - 5*c_1001_1^2 + 1/2*c_1001_1 + 4, c_0101_6 - 1/2*c_1001_1^4 - 3*c_1001_1^3 - 5*c_1001_1^2 + 3/2*c_1001_1 + 5, c_0110_11 + 1/2*c_1001_1^4 + 3*c_1001_1^3 + 5*c_1001_1^2 - 1/2*c_1001_1 - 4, c_1001_1^5 + 5*c_1001_1^4 + 5*c_1001_1^3 - 10*c_1001_1^2 - 8*c_1001_1 + 8 ], 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_6, c_0011_7, c_0101_10, c_0101_2, c_0101_4, c_0101_5, c_0101_6, c_0110_11, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 8196256263763979905397983831415081750/75992449751660578278440814546\ 604893609*c_1001_1^15 - 77504744054295579692813421741339849392/2279\ 77349254981734835322443639814680827*c_1001_1^14 + 51532006022832370448145545718361330636/2533081658388685942614693818\ 2201631203*c_1001_1^13 + 1292087523530697266267738195451587575447/2\ 27977349254981734835322443639814680827*c_1001_1^12 - 1215422681208735042905003957254022807423/75992449751660578278440814\ 546604893609*c_1001_1^11 - 1178025057051338638617462845601575730787\ /25330816583886859426146938182201631203*c_1001_1^10 + 6327993468787494733280040202131739448015/22797734925498173483532244\ 3639814680827*c_1001_1^9 + 3603190552284395366689790021826778472128\ 4/227977349254981734835322443639814680827*c_1001_1^8 + 1689640655987630967349981983920914047833/75992449751660578278440814\ 546604893609*c_1001_1^7 - 18243621133091329829290114882167126075451\ /75992449751660578278440814546604893609*c_1001_1^6 + 865782289780977125407111410014018873427/253308165838868594261469381\ 82201631203*c_1001_1^5 - 18978935218960741938152554782756465735454/\ 227977349254981734835322443639814680827*c_1001_1^4 - 61946820305692409188715767151799451445488/2279773492549817348353224\ 43639814680827*c_1001_1^3 + 199430780324654569594609425803850618175\ 261/227977349254981734835322443639814680827*c_1001_1^2 - 77219959085846671294118817054151274808142/2279773492549817348353224\ 43639814680827*c_1001_1 - 731483744357184016781849382788949059740/4\ 850581899042164570964307311485418741, c_0011_0 - 1, c_0011_10 - 194424977999363708390700356182/3877363628331066803328782822\ 929991*c_1001_1^15 - 225079903052440477532468276972/387736362833106\ 6803328782822929991*c_1001_1^14 + 3247254113001420043359341815773/3\ 877363628331066803328782822929991*c_1001_1^13 - 6115918700213362425617126157722/3877363628331066803328782822929991*\ c_1001_1^12 - 38493801522987556458576501436273/38773636283310668033\ 28782822929991*c_1001_1^11 + 95285134001104253371757837357756/38773\ 63628331066803328782822929991*c_1001_1^10 + 273880729002327227453873047045831/387736362833106680332878282292999\ 1*c_1001_1^9 - 534152422728088156319953376792046/387736362833106680\ 3328782822929991*c_1001_1^8 - 2123713356374107676405643693414316/38\ 77363628331066803328782822929991*c_1001_1^7 - 1019581385788082717499357738611698/38773636283310668033287828229299\ 91*c_1001_1^6 + 3061418751133616641516638436661198/3877363628331066\ 803328782822929991*c_1001_1^5 + 2464513720831812602207900261929016/\ 3877363628331066803328782822929991*c_1001_1^4 + 1647159942191768251480811591151335/38773636283310668033287828229299\ 91*c_1001_1^3 + 1826416476362484032694697556806019/3877363628331066\ 803328782822929991*c_1001_1^2 - 7186905624803157407398777358630488/\ 3877363628331066803328782822929991*c_1001_1 - 22652272565248249946957117046108/82497098475129080921888996232553, c_0011_11 - 1401766944219406313009097183410/387736362833106680332878282\ 2929991*c_1001_1^15 - 7638183246227724609041708237082/3877363628331\ 066803328782822929991*c_1001_1^14 + 12249917365522323170119592717553/3877363628331066803328782822929991\ *c_1001_1^13 + 116830868944805098409423353899153/387736362833106680\ 3328782822929991*c_1001_1^12 + 16526223274603082627661195000970/387\ 7363628331066803328782822929991*c_1001_1^11 - 804417832999143952932383279095318/387736362833106680332878282292999\ 1*c_1001_1^10 - 1295111786267991752514278424914874/3877363628331066\ 803328782822929991*c_1001_1^9 + 832764856703153024592989885108606/3\ 877363628331066803328782822929991*c_1001_1^8 + 3595128076099737521641903164430909/38773636283310668033287828229299\ 91*c_1001_1^7 + 1704261315315177610820973966766423/3877363628331066\ 803328782822929991*c_1001_1^6 - 935928192276973693008169791124008/3\ 877363628331066803328782822929991*c_1001_1^5 - 1968750804897132900548772524577287/38773636283310668033287828229299\ 91*c_1001_1^4 - 7175378032816424574803656281868924/3877363628331066\ 803328782822929991*c_1001_1^3 - 3150793923879031021216922329422350/\ 3877363628331066803328782822929991*c_1001_1^2 + 5249224539387360783867629879529048/38773636283310668033287828229299\ 91*c_1001_1 + 138616278821198293401201462557446/8249709847512908092\ 1888996232553, c_0011_6 - 2692737393166645728608211934797/3877363628331066803328782822\ 929991*c_1001_1^15 - 15042225682296379829669732624984/3877363628331\ 066803328782822929991*c_1001_1^14 + 19281486507717655760152121167412/3877363628331066803328782822929991\ *c_1001_1^13 + 212729759317506062835169966002780/387736362833106680\ 3328782822929991*c_1001_1^12 + 66664382800385011529704751494096/387\ 7363628331066803328782822929991*c_1001_1^11 - 1340216701092552457703940326830746/38773636283310668033287828229299\ 91*c_1001_1^10 - 2475051915360511982144697451839184/387736362833106\ 6803328782822929991*c_1001_1^9 + 123734335368233599614780094652450/\ 3877363628331066803328782822929991*c_1001_1^8 + 3986773058739652933674832945749460/38773636283310668033287828229299\ 91*c_1001_1^7 + 2591895819110788621157683978044213/3877363628331066\ 803328782822929991*c_1001_1^6 + 2381355694096353378939425773463380/\ 3877363628331066803328782822929991*c_1001_1^5 + 1264066695852003502209782682523945/38773636283310668033287828229299\ 91*c_1001_1^4 - 9144656073239728762692984441239223/3877363628331066\ 803328782822929991*c_1001_1^3 - 512797016936660439311378820950980/3\ 877363628331066803328782822929991*c_1001_1^2 + 3379557957197271203879856815571320/38773636283310668033287828229299\ 91*c_1001_1 + 20704605182831194889340987969521/82497098475129080921\ 888996232553, c_0011_7 + 1943256178253961323274212128654/3877363628331066803328782822\ 929991*c_1001_1^15 + 10936715883432662172460842226915/3877363628331\ 066803328782822929991*c_1001_1^14 - 15218697747063769687784033777909/3877363628331066803328782822929991\ *c_1001_1^13 - 166033982820497235047180492816386/387736362833106680\ 3328782822929991*c_1001_1^12 - 52513738650258401049619839641317/387\ 7363628331066803328782822929991*c_1001_1^11 + 1124747267167734522233963645308896/38773636283310668033287828229299\ 91*c_1001_1^10 + 2025750589898815516785175829237890/387736362833106\ 6803328782822929991*c_1001_1^9 - 900985361980810249975524614641937/\ 3877363628331066803328782822929991*c_1001_1^8 - 5530241851566842915114790790091663/38773636283310668033287828229299\ 91*c_1001_1^7 - 3537696235690615787527633071483506/3877363628331066\ 803328782822929991*c_1001_1^6 + 1587731365640597356867694123283092/\ 3877363628331066803328782822929991*c_1001_1^5 + 4631920565405488494966049019010578/38773636283310668033287828229299\ 91*c_1001_1^4 + 10904652868138800141659515595221679/387736362833106\ 6803328782822929991*c_1001_1^3 + 2472694450167973824497609491625767\ /3877363628331066803328782822929991*c_1001_1^2 - 8182044300304948605714328660675869/38773636283310668033287828229299\ 91*c_1001_1 - 144170618209216829782388828433960/8249709847512908092\ 1888996232553, c_0101_10 - 1267059371986938464081480375363/387736362833106680332878282\ 2929991*c_1001_1^15 - 3549550259766634805999321616385/3877363628331\ 066803328782822929991*c_1001_1^14 + 29682132789687140495748340362566/3877363628331066803328782822929991\ *c_1001_1^13 + 84414465821646926846383450307725/3877363628331066803\ 328782822929991*c_1001_1^12 - 234663536743634907531512713006516/387\ 7363628331066803328782822929991*c_1001_1^11 - 843744752915978625349860842102437/387736362833106680332878282292999\ 1*c_1001_1^10 + 302530645128535290155116327758996/38773636283310668\ 03328782822929991*c_1001_1^9 + 3945886290931533588344887572707557/3\ 877363628331066803328782822929991*c_1001_1^8 + 4286368496995370332492639701555413/38773636283310668033287828229299\ 91*c_1001_1^7 - 2014283096157646170549247829822740/3877363628331066\ 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1*c_1001_1^4 + 13738935214883144063548254400662481/3877363628331066\ 803328782822929991*c_1001_1^3 + 6515472383684378457764352263425557/\ 3877363628331066803328782822929991*c_1001_1^2 - 4918711792491473952226038684255371/38773636283310668033287828229299\ 91*c_1001_1 - 88492723188846757507267709987934/82497098475129080921\ 888996232553, c_1001_1^16 + 4*c_1001_1^15 - 16*c_1001_1^14 - 68*c_1001_1^13 + 100*c_1001_1^12 + 548*c_1001_1^11 + 139*c_1001_1^10 - 1610*c_1001_1^9 - 1519*c_1001_1^8 + 1788*c_1001_1^7 + 1601*c_1001_1^6 + 925*c_1001_1^5 + 3011*c_1001_1^4 - 5782*c_1001_1^3 - 3311*c_1001_1^2 + 2397*c_1001_1 + 2209 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.900 Total time: 1.100 seconds, Total memory usage: 32.09MB