Magma V2.19-8 Wed Aug 21 2013 01:02:54 on localhost [Seed = 3651125815] Type ? for help. Type -D to quit. Loading file "L14n1612__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1612 geometric_solution 11.38048315 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 1 1 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 0 0 0 0 -1 0 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.867471554111 0.725275799363 0 5 7 6 0132 0132 0132 0132 1 1 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 3 0 -3 0 0 0 0 0 -1 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515002090472 0.186155506629 6 0 8 6 1230 0132 0132 0213 1 0 1 1 0 0 0 0 0 0 -1 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 1 0 -1 1 0 -1 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593466978888 0.697695305706 6 8 8 0 0132 2031 0321 0132 1 1 1 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593466978888 0.697695305706 5 7 0 9 3120 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.299195620915 0.526730313184 10 1 10 4 0132 0132 3012 3120 1 1 1 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 -3 3 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 0.840800506914 0.718852749717 3 2 1 2 0132 3012 0132 0213 1 1 0 1 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 -4 3 1 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 0.623471159831 1.070006318964 9 4 8 1 3120 3120 2310 0132 1 1 1 1 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 1 0 -1 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904288662134 0.774626072848 3 7 3 2 1302 3201 0321 0132 1 0 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 0 0 -1 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 0.623471159831 1.070006318964 11 10 4 7 0132 2310 0132 3120 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 0 -1 0 -4 0 4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293675202493 1.326067205010 5 5 11 9 0132 1230 0132 3201 1 1 1 1 0 0 -1 1 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 0 3 -3 0 0 -4 4 1 0 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293675202493 1.326067205010 9 12 12 10 0132 0132 1023 0132 1 1 1 1 0 -1 0 1 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 3 0 -3 -1 0 -3 4 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160269895623 0.354361690266 12 11 11 12 3012 0132 1023 1230 1 1 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.068628919735 1.096149107406 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_1'], 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_8'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_0101_1'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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_7']), 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_0011_8'], 'c_1010_2' : d['c_0011_8'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_2']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_10'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3'], 's_2_9' : d['1']})} 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_11, c_0011_3, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_7, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 17568356216916832878153577/465134764243522807998709760*c_1001_2^19 - 304366833992116477462686407/6046751935165796503983226880*c_1001_2^1\ 8 - 538980266943248669976532515/1209350387033159300796645376*c_1001\ _2^17 + 3778495149487606070639267929/6046751935165796503983226880*c\ _1001_2^16 + 775342609266249651392541809/30233759675828982519916134\ 4*c_1001_2^15 - 5325821463312157210822111383/1511687983791449125995\ 806720*c_1001_2^14 - 12821125847694268969647685131/1511687983791449\ 125995806720*c_1001_2^13 + 3499522114224350366017022681/30233759675\ 8289825199161344*c_1001_2^12 + 54514419960580276232050174779/302337\ 5967582898251991613440*c_1001_2^11 - 79760717988587973569200892457/3023375967582898251991613440*c_1001_2\ ^10 - 1920515102589885422147266693/81712863988726979783557120*c_100\ 1_2^9 + 123458891661456096656696582047/3023375967582898251991613440\ *c_1001_2^8 + 5406260815589359138240080013/302337596758289825199161\ 344*c_1001_2^7 - 65292253530049469464181263707/15116879837914491259\ 95806720*c_1001_2^6 - 9981924737115252426682887/3142802461104883837\ 829120*c_1001_2^5 + 8797121341716604284826916909/302337596758289825\ 199161344*c_1001_2^4 - 24354335429371171527436256163/60467519351657\ 96503983226880*c_1001_2^3 - 65654376346524937999557135391/604675193\ 5165796503983226880*c_1001_2^2 + 16865713860840438189875624169/6046\ 751935165796503983226880*c_1001_2 + 18069964840494100667124838641/6046751935165796503983226880, c_0011_0 - 1, c_0011_11 + 1688138222882319/42582618060783616*c_1001_2^19 - 9324206568468027/85165236121567232*c_1001_2^18 - 7244338527797771/21291309030391808*c_1001_2^17 + 104832007449427677/85165236121567232*c_1001_2^16 + 23269098501827291/21291309030391808*c_1001_2^15 - 32201604118771015/5322827257597952*c_1001_2^14 - 5995734331287533/21291309030391808*c_1001_2^13 + 162592820308839441/10645654515195904*c_1001_2^12 - 58122631880594731/10645654515195904*c_1001_2^11 - 945937329654004783/42582618060783616*c_1001_2^10 + 307254064975674041/21291309030391808*c_1001_2^9 + 709705003260765685/42582618060783616*c_1001_2^8 - 315672984465403155/21291309030391808*c_1001_2^7 - 39061915094275553/10645654515195904*c_1001_2^6 + 95365686608443953/21291309030391808*c_1001_2^5 - 6646642874385519/2661413628798976*c_1001_2^4 + 201598972750351885/42582618060783616*c_1001_2^3 - 175518201064061935/85165236121567232*c_1001_2^2 + 4388620434094919/10645654515195904*c_1001_2 + 1652060294035709/2301763138420736, c_0011_3 + 332531901277433/10645654515195904*c_1001_2^19 - 1991953541657623/21291309030391808*c_1001_2^18 - 1487738929743885/5322827257597952*c_1001_2^17 + 11649142783023441/10645654515195904*c_1001_2^16 + 5127133908858921/5322827257597952*c_1001_2^15 - 30250149187669983/5322827257597952*c_1001_2^14 - 3596801039238389/5322827257597952*c_1001_2^13 + 41735527773289031/2661413628798976*c_1001_2^12 - 8548639145312053/2661413628798976*c_1001_2^11 - 275639005927779713/10645654515195904*c_1001_2^10 + 51227076073762121/5322827257597952*c_1001_2^9 + 132856053028634167/5322827257597952*c_1001_2^8 - 53404011044055081/5322827257597952*c_1001_2^7 - 66581126162336587/5322827257597952*c_1001_2^6 + 12468584230286929/5322827257597952*c_1001_2^5 + 4057461765686075/2661413628798976*c_1001_2^4 + 42614266259110235/10645654515195904*c_1001_2^3 - 26244348787672767/21291309030391808*c_1001_2^2 - 472533696032443/665353407199744*c_1001_2 + 134010556044613/287720392302592, c_0011_4 + 19575929029080671/340660944486268928*c_1001_2^19 - 53894268982842831/340660944486268928*c_1001_2^18 - 183274799191174093/340660944486268928*c_1001_2^17 + 632699180479074893/340660944486268928*c_1001_2^16 + 176076799794789533/85165236121567232*c_1001_2^15 - 822571178863227981/85165236121567232*c_1001_2^14 - 239673700872288815/85165236121567232*c_1001_2^13 + 2273405091893542415/85165236121567232*c_1001_2^12 - 260775049427523523/170330472243134464*c_1001_2^11 - 7531391106715777485/170330472243134464*c_1001_2^10 + 1827068403694193673/170330472243134464*c_1001_2^9 + 7295297669322737079/170330472243134464*c_1001_2^8 - 1073188596749927235/85165236121567232*c_1001_2^7 - 1831186416313359277/85165236121567232*c_1001_2^6 + 265559808375896289/85165236121567232*c_1001_2^5 + 195479592862755135/85165236121567232*c_1001_2^4 + 2193892607978823359/340660944486268928*c_1001_2^3 - 505128428067740079/340660944486268928*c_1001_2^2 - 738545590880934925/340660944486268928*c_1001_2 + 5999724384805321/9207052553682944, c_0011_7 - 4727551841464179/170330472243134464*c_1001_2^19 + 11878397984571171/170330472243134464*c_1001_2^18 + 46325354040767787/170330472243134464*c_1001_2^17 - 141426582400604699/170330472243134464*c_1001_2^16 - 48306095610899203/42582618060783616*c_1001_2^15 + 186213896960388819/42582618060783616*c_1001_2^14 + 84629646458108371/42582618060783616*c_1001_2^13 - 524519909171544003/42582618060783616*c_1001_2^12 - 51335138818811293/85165236121567232*c_1001_2^11 + 1785311249559605805/85165236121567232*c_1001_2^10 - 340279930633199051/85165236121567232*c_1001_2^9 - 1808144714402660933/85165236121567232*c_1001_2^8 + 279650406157298473/42582618060783616*c_1001_2^7 + 492715869122588455/42582618060783616*c_1001_2^6 - 127252328941209353/42582618060783616*c_1001_2^5 - 79733125290986023/42582618060783616*c_1001_2^4 - 516689591736205291/170330472243134464*c_1001_2^3 + 102811768397057691/170330472243134464*c_1001_2^2 + 313635544315527491/170330472243134464*c_1001_2 - 2395235766549751/4603526276841472, c_0011_8 - 291908791931575/21291309030391808*c_1001_2^19 + 41762499774563/1330706814399488*c_1001_2^18 + 1385909664306929/10645654515195904*c_1001_2^17 - 3851774787358591/10645654515195904*c_1001_2^16 - 2734610090252095/5322827257597952*c_1001_2^15 + 9554934038503399/5322827257597952*c_1001_2^14 + 1941887705627463/2661413628798976*c_1001_2^13 - 24104059950085283/5322827257597952*c_1001_2^12 + 4490590054856863/10645654515195904*c_1001_2^11 + 33608788239216943/5322827257597952*c_1001_2^10 - 16433061845456937/5322827257597952*c_1001_2^9 - 10839840302216735/2661413628798976*c_1001_2^8 + 22387882406659925/5322827257597952*c_1001_2^7 - 635927382184691/5322827257597952*c_1001_2^6 - 5639089769788421/2661413628798976*c_1001_2^5 + 3388779526105747/5322827257597952*c_1001_2^4 - 14469964780310879/21291309030391808*c_1001_2^3 + 7602553206237201/5322827257597952*c_1001_2^2 - 15814434807015/10645654515195904*c_1001_2 - 510064207949633/287720392302592, c_0101_0 + c_1001_2, c_0101_1 + 816516306777457/340660944486268928*c_1001_2^19 + 866619960701617/340660944486268928*c_1001_2^18 - 15839548989899379/340660944486268928*c_1001_2^17 - 2849233716960627/340660944486268928*c_1001_2^16 + 31093208446675667/85165236121567232*c_1001_2^15 - 5435753090783421/85165236121567232*c_1001_2^14 - 131360099799716817/85165236121567232*c_1001_2^13 + 49035176284773567/85165236121567232*c_1001_2^12 + 642279760134787763/170330472243134464*c_1001_2^11 - 285589556803282989/170330472243134464*c_1001_2^10 - 967393980583638985/170330472243134464*c_1001_2^9 + 414962548776144727/170330472243134464*c_1001_2^8 + 429380266892838195/85165236121567232*c_1001_2^7 - 109992239111744125/85165236121567232*c_1001_2^6 - 194898991636024545/85165236121567232*c_1001_2^5 - 33168023687255729/85165236121567232*c_1001_2^4 + 72966035961668113/340660944486268928*c_1001_2^3 + 115089222064637841/340660944486268928*c_1001_2^2 - 70332233987526195/340660944486268928*c_1001_2 + 3232824001807689/9207052553682944, c_0101_10 - 89274981134391/10019439543713792*c_1001_2^19 + 382293463148283/5009719771856896*c_1001_2^18 - 504220727814349/10019439543713792*c_1001_2^17 - 1972869915171681/2504859885928448*c_1001_2^16 + 3113564390757659/2504859885928448*c_1001_2^15 + 4459627166881289/1252429942964224*c_1001_2^14 - 19128625371864727/2504859885928448*c_1001_2^13 - 4911376656674897/626214971482112*c_1001_2^12 + 111621597420232379/5009719771856896*c_1001_2^11 + 22885708592876417/2504859885928448*c_1001_2^10 - 188268930938802887/5009719771856896*c_1001_2^9 - 4554185550941855/1252429942964224*c_1001_2^8 + 89497350875033499/2504859885928448*c_1001_2^7 - 1522294224698903/1252429942964224*c_1001_2^6 - 40505694203023735/2504859885928448*c_1001_2^5 - 281921205913685/626214971482112*c_1001_2^4 - 7418370603487767/10019439543713792*c_1001_2^3 + 26643298530728379/5009719771856896*c_1001_2^2 - 2238318379393901/10019439543713792*c_1001_2 - 96582220353045/67698915835904, c_0101_12 + 4843081022342199/170330472243134464*c_1001_2^19 - 3676341272776317/42582618060783616*c_1001_2^18 - 36320817557378731/170330472243134464*c_1001_2^17 + 79607837216754755/85165236121567232*c_1001_2^16 + 18279615092647489/42582618060783616*c_1001_2^15 - 46456022446391239/10645654515195904*c_1001_2^14 + 68691142991329947/42582618060783616*c_1001_2^13 + 213015713269873713/21291309030391808*c_1001_2^12 - 753462779039185603/85165236121567232*c_1001_2^11 - 260310067842967423/21291309030391808*c_1001_2^10 + 1564763041282904631/85165236121567232*c_1001_2^9 + 242927029065389065/42582618060783616*c_1001_2^8 - 778619941796954727/42582618060783616*c_1001_2^7 + 18349357675459897/10645654515195904*c_1001_2^6 + 303008088690966835/42582618060783616*c_1001_2^5 - 24459379804901855/21291309030391808*c_1001_2^4 + 482292766111381479/170330472243134464*c_1001_2^3 - 194730929649933197/42582618060783616*c_1001_2^2 + 76461574973774085/170330472243134464*c_1001_2 + 2140136495728999/2301763138420736, c_0101_2 - 1, c_0101_7 - 1, c_1001_2^20 - 432/169*c_1001_2^19 - 1682/169*c_1001_2^18 + 5216/169*c_1001_2^17 + 7169/169*c_1001_2^16 - 27968/169*c_1001_2^15 - 13368/169*c_1001_2^14 + 80896/169*c_1001_2^13 + 7122/169*c_1001_2^12 - 142368/169*c_1001_2^11 + 17908/169*c_1001_2^10 + 151744/169*c_1001_2^9 - 32246/169*c_1001_2^8 - 90432/169*c_1001_2^7 + 13320/169*c_1001_2^6 + 19712/169*c_1001_2^5 + 1401/13*c_1001_2^4 - 2992/169*c_1001_2^3 - 890/13*c_1001_2^2 + 2528/169*c_1001_2 + 4181/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB