Magma V2.19-8 Tue Aug 20 2013 23:47:19 on localhost [Seed = 1292576525] Type ? for help. Type -D to quit. Loading file "L10a116__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a116 geometric_solution 11.20211794 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 1 1 0 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 0 -1 1 0 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 0.696269436719 1.009190907382 0 4 6 5 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.491442373599 0 0 7 7 3012 0132 1302 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273454121479 0.908592833075 5 8 7 0 0132 0132 0132 0132 1 1 1 0 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 -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 0.408616420175 0.442945775138 6 1 9 10 0321 0132 0132 0132 1 1 0 1 0 -1 1 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 1.125143292521 1.219670681942 3 8 1 7 0132 0321 0132 0321 1 1 0 1 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 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.200067075591 1.146029238360 4 10 8 1 0321 0132 0321 0132 1 1 0 1 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 -1 1 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 1.147824456579 0.846771758337 2 5 2 3 2031 0321 0132 0132 1 1 0 1 0 1 -1 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696269436719 1.009190907382 9 3 6 5 0132 0132 0321 0321 1 1 0 1 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 0 0 0 0 0 1 -1 0 1 0 0 -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 1.017261696919 0.999851005810 8 11 11 4 0132 0132 1302 0132 1 1 1 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 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463173791318 0.671336057688 11 6 4 11 3012 0132 0132 0132 1 1 1 0 0 1 0 -1 1 0 -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 1 0 -1 1 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 0.463173791318 0.671336057688 9 9 10 10 2031 0132 0132 1230 1 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 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 0.303730563281 1.009190907382 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(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' : d['1'], 's_2_6' : negation(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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_11'], 'c_1100_8' : d['c_1001_11'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_3'], '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' : negation(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' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_4'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0011_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_7'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10']})} 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_7, c_0101_0, c_0101_11, c_0101_4, c_0101_7, c_1001_0, c_1001_1, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1566791730909943859/19960932600811586249*c_1001_11^13 - 18407968236268279238/19960932600811586249*c_1001_11^12 + 135634685843888130619/19960932600811586249*c_1001_11^11 + 922052132298042845282/19960932600811586249*c_1001_11^10 + 813785179580312493606/19960932600811586249*c_1001_11^9 - 960535375226289979369/19960932600811586249*c_1001_11^8 + 1824849093862390592622/19960932600811586249*c_1001_11^7 + 3541141580469188884025/19960932600811586249*c_1001_11^6 + 3157772030444252996741/19960932600811586249*c_1001_11^5 + 6074794352683659945188/19960932600811586249*c_1001_11^4 + 4332333857999442598851/19960932600811586249*c_1001_11^3 + 946498624017841907573/19960932600811586249*c_1001_11^2 + 486876104485821032698/19960932600811586249*c_1001_11 + 78069448177470442345/19960932600811586249, c_0011_0 - 1, c_0011_10 + 406833185672312082/19960932600811586249*c_1001_11^13 - 1260010477877614039/19960932600811586249*c_1001_11^12 - 15304829023134423951/19960932600811586249*c_1001_11^11 - 18259330489772159442/19960932600811586249*c_1001_11^10 + 20224152507025268531/19960932600811586249*c_1001_11^9 - 13719062136137306991/19960932600811586249*c_1001_11^8 - 64744022778809978076/19960932600811586249*c_1001_11^7 - 53146870812775640086/19960932600811586249*c_1001_11^6 - 81954060269568126045/19960932600811586249*c_1001_11^5 - 78031307803550558893/19960932600811586249*c_1001_11^4 + 41157614312137101827/19960932600811586249*c_1001_11^3 + 51298729462924720214/19960932600811586249*c_1001_11^2 + 33840561427310221427/19960932600811586249*c_1001_11 + 22457844821637825464/19960932600811586249, c_0011_11 - 191744257228064946/19960932600811586249*c_1001_11^13 + 993709842897929399/19960932600811586249*c_1001_11^12 + 5665114864450590334/19960932600811586249*c_1001_11^11 - 5071576641144098686/19960932600811586249*c_1001_11^10 - 17353083333859786745/19960932600811586249*c_1001_11^9 + 25790209121997183683/19960932600811586249*c_1001_11^8 - 5707696471341302946/19960932600811586249*c_1001_11^7 + 4191301177792021640/19960932600811586249*c_1001_11^6 - 1730079275367238369/19960932600811586249*c_1001_11^5 - 57002292648471745439/19960932600811586249*c_1001_11^4 - 20713385983820404977/19960932600811586249*c_1001_11^3 - 11536232055875056482/19960932600811586249*c_1001_11^2 + 14319008523235733544/19960932600811586249*c_1001_11 + 20897261621748896372/19960932600811586249, c_0011_7 - 2553447220472631915/19960932600811586249*c_1001_11^13 + 10099863791266163966/19960932600811586249*c_1001_11^12 + 87563338092018541831/19960932600811586249*c_1001_11^11 + 38506456579320430819/19960932600811586249*c_1001_11^10 - 164272467052324824089/19960932600811586249*c_1001_11^9 + 230109924855013714710/19960932600811586249*c_1001_11^8 + 208500249979634939055/19960932600811586249*c_1001_11^7 + 143919402139985959096/19960932600811586249*c_1001_11^6 + 425586512080661287022/19960932600811586249*c_1001_11^5 + 8678938279302826231/19960932600811586249*c_1001_11^4 - 195225850284158253877/19960932600811586249*c_1001_11^3 - 95920775607511852753/19960932600811586249*c_1001_11^2 - 140436770639674342822/19960932600811586249*c_1001_11 + 7465927041022298453/19960932600811586249, c_0101_0 - 1, c_0101_11 - 812338135342755459/19960932600811586249*c_1001_11^13 + 2717426463967874010/19960932600811586249*c_1001_11^12 + 29894341256901204009/19960932600811586249*c_1001_11^11 + 28843991697586183479/19960932600811586249*c_1001_11^10 - 46952993851308631022/19960932600811586249*c_1001_11^9 + 43175486373446431608/19960932600811586249*c_1001_11^8 + 115601556442337077042/19960932600811586249*c_1001_11^7 + 76244863872862557987/19960932600811586249*c_1001_11^6 + 170448214397240384690/19960932600811586249*c_1001_11^5 + 72113754047825249806/19960932600811586249*c_1001_11^4 - 60433315939898135822/19960932600811586249*c_1001_11^3 - 54271942056201187152/19960932600811586249*c_1001_11^2 - 71756083339274868262/19960932600811586249*c_1001_11 - 23291227550745211830/19960932600811586249, c_0101_4 - 112807723361305921/19960932600811586249*c_1001_11^13 + 108057285354561109/19960932600811586249*c_1001_11^12 + 4997800749633423921/19960932600811586249*c_1001_11^11 + 14168870246442102313/19960932600811586249*c_1001_11^10 + 4893056404555303402/19960932600811586249*c_1001_11^9 - 10629150069244855839/19960932600811586249*c_1001_11^8 + 22091168299665224646/19960932600811586249*c_1001_11^7 + 56552075792327902022/19960932600811586249*c_1001_11^6 + 59304120279971706652/19960932600811586249*c_1001_11^5 + 51227747605936847194/19960932600811586249*c_1001_11^4 + 14120497421563215961/19960932600811586249*c_1001_11^3 - 35848535067902505521/19960932600811586249*c_1001_11^2 - 31108380140471891686/19960932600811586249*c_1001_11 - 22706124078512283110/19960932600811586249, c_0101_7 - 2361702963244566969/19960932600811586249*c_1001_11^13 + 9106153948368234567/19960932600811586249*c_1001_11^12 + 81898223227567951497/19960932600811586249*c_1001_11^11 + 43578033220464529505/19960932600811586249*c_1001_11^10 - 146919383718465037344/19960932600811586249*c_1001_11^9 + 204319715733016531027/19960932600811586249*c_1001_11^8 + 214207946450976242001/19960932600811586249*c_1001_11^7 + 139728100962193937456/19960932600811586249*c_1001_11^6 + 427316591356028525391/19960932600811586249*c_1001_11^5 + 65681230927774571670/19960932600811586249*c_1001_11^4 - 174512464300337848900/19960932600811586249*c_1001_11^3 - 84384543551636796271/19960932600811586249*c_1001_11^2 - 134794846562098490117/19960932600811586249*c_1001_11 - 13431334580726597919/19960932600811586249, c_1001_0 + 191744257228064946/19960932600811586249*c_1001_11^13 - 993709842897929399/19960932600811586249*c_1001_11^12 - 5665114864450590334/19960932600811586249*c_1001_11^11 + 5071576641144098686/19960932600811586249*c_1001_11^10 + 17353083333859786745/19960932600811586249*c_1001_11^9 - 25790209121997183683/19960932600811586249*c_1001_11^8 + 5707696471341302946/19960932600811586249*c_1001_11^7 - 4191301177792021640/19960932600811586249*c_1001_11^6 + 1730079275367238369/19960932600811586249*c_1001_11^5 + 57002292648471745439/19960932600811586249*c_1001_11^4 + 20713385983820404977/19960932600811586249*c_1001_11^3 + 11536232055875056482/19960932600811586249*c_1001_11^2 + 5641924077575852705/19960932600811586249*c_1001_11 - 20897261621748896372/19960932600811586249, c_1001_1 + 191744257228064946/19960932600811586249*c_1001_11^13 - 993709842897929399/19960932600811586249*c_1001_11^12 - 5665114864450590334/19960932600811586249*c_1001_11^11 + 5071576641144098686/19960932600811586249*c_1001_11^10 + 17353083333859786745/19960932600811586249*c_1001_11^9 - 25790209121997183683/19960932600811586249*c_1001_11^8 + 5707696471341302946/19960932600811586249*c_1001_11^7 - 4191301177792021640/19960932600811586249*c_1001_11^6 + 1730079275367238369/19960932600811586249*c_1001_11^5 + 57002292648471745439/19960932600811586249*c_1001_11^4 + 20713385983820404977/19960932600811586249*c_1001_11^3 + 11536232055875056482/19960932600811586249*c_1001_11^2 - 14319008523235733544/19960932600811586249*c_1001_11 - 20897261621748896372/19960932600811586249, c_1001_11^14 - 4*c_1001_11^13 - 34*c_1001_11^12 - 14*c_1001_11^11 + 61*c_1001_11^10 - 95*c_1001_11^9 - 70*c_1001_11^8 - 62*c_1001_11^7 - 175*c_1001_11^6 - 4*c_1001_11^5 + 60*c_1001_11^4 + 34*c_1001_11^3 + 59*c_1001_11^2 + c_1001_11 + 1, c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB