Magma V2.19-8 Wed Aug 21 2013 01:10:31 on localhost [Seed = 3069226816] Type ? for help. Type -D to quit. Loading file "L14n53536__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n53536 geometric_solution 11.30751442 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 0 0 -1 1 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 -2 0 2 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 0.950365065593 0.688458190011 0 5 7 6 0132 0132 0132 0132 0 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 -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 0.335244562680 0.285119361416 4 0 4 8 0213 0132 2031 0132 0 0 1 1 0 1 0 -1 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 2 0 -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 0 0 0 0 1.332270722604 0.873839713430 6 6 8 0 0132 2310 2310 0132 0 1 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 -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 0.603796624445 0.488573057855 2 8 0 2 0213 1023 0132 1302 0 1 0 1 0 1 -1 0 0 0 -1 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 2 -2 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 0.332270722604 0.873839713430 9 1 10 10 0132 0132 0132 3120 0 2 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 -2 2 -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 0.914730000019 0.887384991994 3 11 1 3 0132 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266942005667 1.783639448470 9 10 11 1 1230 3120 3201 0132 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 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 0.449865840540 1.993581954400 4 3 2 11 1023 3201 0132 0132 0 0 0 1 0 0 1 -1 -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 2 -2 -2 0 0 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 0.950365065593 0.688458190011 5 7 12 12 0132 3012 2103 0132 0 2 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 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 0.914730000019 0.887384991994 5 7 12 5 3120 3120 0132 0132 0 2 1 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 -1 -1 2 0 0 1 -1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107295233160 1.116596454087 7 6 8 12 2310 0132 0132 2031 0 0 1 0 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 2 -2 1 0 -2 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 0.335244562680 0.285119361416 9 11 9 10 2103 1302 0132 0132 0 2 0 1 0 -1 0 1 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 0 1 1 0 0 -1 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436806107799 0.546357731256 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_3_10' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_1001_11'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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_0']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0101_7']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_3']})} 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_4, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_7, c_0101_8, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2805483582809453934825088913323935/344558594236865738747389019488*c\ _1001_11^10 - 7060677458662892320424317692422217/172279297118432869\ 373694509744*c_1001_11^9 + 18741599261972410209301966102853117/1722\ 79297118432869373694509744*c_1001_11^8 - 9572988269281242652662298003297895/172279297118432869373694509744*c\ _1001_11^7 + 33830945815498993962156529947064759/344558594236865738\ 747389019488*c_1001_11^6 - 335096504332966496983842629444097/861396\ 48559216434686847254872*c_1001_11^5 + 11999417772761879391548721009683475/344558594236865738747389019488*\ c_1001_11^4 - 3683773114392139762343504153138627/172279297118432869\ 373694509744*c_1001_11^3 + 3221931547963443789645965005480077/17227\ 9297118432869373694509744*c_1001_11^2 - 235993649873432998637409274823475/172279297118432869373694509744*c_\ 1001_11 + 292820206677938397614850782380211/34455859423686573874738\ 9019488, c_0011_0 - 1, c_0011_10 - 411110241916964796956963/26687406308810995816048*c_1001_11^\ 10 + 1978301198255947327549645/26687406308810995816048*c_1001_11^9 - 5043651417477137525916145/26687406308810995816048*c_1001_11^8 + 1637470776660643624941539/26687406308810995816048*c_1001_11^7 - 1116455506227577182434153/6671851577202748954012*c_1001_11^6 - 204938850911579340918169/6671851577202748954012*c_1001_11^5 - 1822292409988486006542595/26687406308810995816048*c_1001_11^4 + 764315813709663471602105/26687406308810995816048*c_1001_11^3 - 740607559756960985870573/26687406308810995816048*c_1001_11^2 - 81876168064762516021817/26687406308810995816048*c_1001_11 - 9708852990539648711947/6671851577202748954012, c_0011_11 + 360799624273534147501687/53374812617621991632096*c_1001_11^\ 10 - 846053543145894963304107/26687406308810995816048*c_1001_11^9 + 1060030667786140608505259/13343703154405497908024*c_1001_11^8 - 509334183742533028557253/26687406308810995816048*c_1001_11^7 + 4059128832602872039752325/53374812617621991632096*c_1001_11^6 + 270454811738249080824751/13343703154405497908024*c_1001_11^5 + 2056511247294124489871259/53374812617621991632096*c_1001_11^4 - 213405206218040488743033/26687406308810995816048*c_1001_11^3 + 176301577654581468028495/13343703154405497908024*c_1001_11^2 + 70430496506722931508503/26687406308810995816048*c_1001_11 + 68008354033805764829305/53374812617621991632096, c_0011_12 - 39261069788676052401162/1667962894300687238503*c_1001_11^10 + 385968046488220937779911/3335925788601374477006*c_1001_11^9 - 2003868854893446521163003/6671851577202748954012*c_1001_11^8 + 410106209476432250318353/3335925788601374477006*c_1001_11^7 - 1759169207657052731074933/6671851577202748954012*c_1001_11^6 - 35801374991784196667908/1667962894300687238503*c_1001_11^5 - 161845727802721521391442/1667962894300687238503*c_1001_11^4 + 175332931487656436858461/3335925788601374477006*c_1001_11^3 - 306305316311762047010727/6671851577202748954012*c_1001_11^2 - 4499169249902883406051/3335925788601374477006*c_1001_11 - 12034383714668446332561/6671851577202748954012, c_0011_4 - 79609058929254600844155/53374812617621991632096*c_1001_11^10 + 219145108207421221647875/26687406308810995816048*c_1001_11^9 - 318287138296409341106103/13343703154405497908024*c_1001_11^8 + 574948635287611230483117/26687406308810995816048*c_1001_11^7 - 1488435747668615608667249/53374812617621991632096*c_1001_11^6 + 152163851532960305426429/13343703154405497908024*c_1001_11^5 - 498504367785239086199343/53374812617621991632096*c_1001_11^4 + 193021469532479503362313/26687406308810995816048*c_1001_11^3 - 67922617969066700946467/13343703154405497908024*c_1001_11^2 + 73304945772744793285969/26687406308810995816048*c_1001_11 - 43737205531847287436245/53374812617621991632096, c_0101_0 + 10575739461518505061783/6671851577202748954012*c_1001_11^10 - 94493005382807416528219/13343703154405497908024*c_1001_11^9 + 226137853221728752180859/13343703154405497908024*c_1001_11^8 + 750885256290467794755/13343703154405497908024*c_1001_11^7 + 203702657906578614108247/13343703154405497908024*c_1001_11^6 + 20105970711740308776850/1667962894300687238503*c_1001_11^5 + 55832586231462164686009/6671851577202748954012*c_1001_11^4 + 50154214889399494579061/13343703154405497908024*c_1001_11^3 + 31889262944497421158863/13343703154405497908024*c_1001_11^2 + 51749609453929185629855/13343703154405497908024*c_1001_11 + 2706238179976122977371/13343703154405497908024, c_0101_10 + 217066874701852041461629/26687406308810995816048*c_1001_11^\ 10 - 1109443173649820174689643/26687406308810995816048*c_1001_11^9 + 2971824002096648558735867/26687406308810995816048*c_1001_11^8 - 1643378899150814377605285/26687406308810995816048*c_1001_11^7 + 160678425357368887160195/1667962894300687238503*c_1001_11^6 - 61733350944442554246537/6671851577202748954012*c_1001_11^5 + 767239234855058335720477/26687406308810995816048*c_1001_11^4 - 638347638191588023265583/26687406308810995816048*c_1001_11^3 + 484613705490087202172335/26687406308810995816048*c_1001_11^2 - 45882814065539448773409/26687406308810995816048*c_1001_11 + 1162765362064398810307/3335925788601374477006, c_0101_11 + 126389074859249873684853/106749625235243983264192*c_1001_11\ ^10 - 322829366960636129238527/53374812617621991632096*c_1001_11^9 + 216827372501554406154093/13343703154405497908024*c_1001_11^8 - 489816558308192082129777/53374812617621991632096*c_1001_11^7 + 1566298850619772256300283/106749625235243983264192*c_1001_11^6 - 42801490993109162419019/26687406308810995816048*c_1001_11^5 + 561422955216508202462321/106749625235243983264192*c_1001_11^4 - 176840044246742770774857/53374812617621991632096*c_1001_11^3 + 47729383524880479543097/13343703154405497908024*c_1001_11^2 - 19628182969996288815445/53374812617621991632096*c_1001_11 - 9478272853708163164953/106749625235243983264192, c_0101_12 - 1, c_0101_3 + 1, c_0101_7 + 411110241916964796956963/26687406308810995816048*c_1001_11^1\ 0 - 1978301198255947327549645/26687406308810995816048*c_1001_11^9 + 5043651417477137525916145/26687406308810995816048*c_1001_11^8 - 1637470776660643624941539/26687406308810995816048*c_1001_11^7 + 1116455506227577182434153/6671851577202748954012*c_1001_11^6 + 204938850911579340918169/6671851577202748954012*c_1001_11^5 + 1822292409988486006542595/26687406308810995816048*c_1001_11^4 - 764315813709663471602105/26687406308810995816048*c_1001_11^3 + 740607559756960985870573/26687406308810995816048*c_1001_11^2 + 81876168064762516021817/26687406308810995816048*c_1001_11 + 9708852990539648711947/6671851577202748954012, c_0101_8 - 11874860782438608109661/13343703154405497908024*c_1001_11^10 + 127920403890144019176531/26687406308810995816048*c_1001_11^9 - 362820815175208595267549/26687406308810995816048*c_1001_11^8 + 296402298695430592551405/26687406308810995816048*c_1001_11^7 - 416255823437502358765993/26687406308810995816048*c_1001_11^6 + 13008773747907534371609/1667962894300687238503*c_1001_11^5 - 88655042644307857840303/13343703154405497908024*c_1001_11^4 + 150865827836268239179067/26687406308810995816048*c_1001_11^3 - 95207566028185814490473/26687406308810995816048*c_1001_11^2 + 56858408054692998090569/26687406308810995816048*c_1001_11 - 23068166105516404252965/26687406308810995816048, c_1001_11^11 - 1465/289*c_1001_11^10 + 3914/289*c_1001_11^9 - 2114/289*c_1001_11^8 + 3565/289*c_1001_11^7 - 265/289*c_1001_11^6 + 1249/289*c_1001_11^5 - 801/289*c_1001_11^4 + 694/289*c_1001_11^3 - 74/289*c_1001_11^2 + 33/289*c_1001_11 - 1/289 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB