Magma V2.19-8 Tue Aug 20 2013 23:42:35 on localhost [Seed = 1360475191] Type ? for help. Type -D to quit. Loading file "L13n4451__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4451 geometric_solution 9.27292053 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 0 0 0 -1 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 0 4 -3 -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 0.689875511809 0.510160237591 0 5 6 4 0132 0132 0132 2103 1 1 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 0 0 0 0 -1 7 -6 1 0 -1 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.076331362132 1.087663593955 7 0 8 7 0132 0132 0132 1023 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 0 0 0 -4 0 4 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956646462551 0.444980986395 9 8 9 0 0132 1023 3120 0132 0 1 0 1 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 0 -3 3 0 0 1 -1 3 -3 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544764141206 0.701268868694 10 8 0 1 0132 0132 0132 2103 0 1 1 0 0 0 0 0 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 0 0 1 -1 0 0 0 0 -6 0 0 6 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355889756155 0.345205426863 6 1 10 10 0132 0132 0132 0321 1 1 0 0 0 0 0 0 1 0 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 1 -1 0 -6 0 0 6 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486391906952 0.685960056955 5 8 9 1 0132 3201 0213 0132 1 1 0 0 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 0 0 0 0 0 0 0 0 7 0 -7 6 0 -7 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 0.424842456735 0.449737074290 2 7 7 2 0132 1230 3012 1023 0 0 0 0 0 1 -1 0 0 0 -1 1 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 -4 4 0 0 0 4 -4 0 -4 0 4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.531210492897 0.376252341240 3 4 6 2 1023 0132 2310 0132 0 0 0 1 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 0 0 0 0 0 0 0 3 -3 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.569643761741 0.877456940049 3 6 3 10 0132 0213 3120 3012 1 1 1 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 0 0 0 0 0 -1 1 -7 7 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544764141206 0.701268868694 4 5 9 5 0132 0321 1230 0132 1 1 0 1 0 0 0 0 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 0 0 -1 1 0 0 0 0 3 0 0 -3 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312149160936 0.970078231148 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_3']), 'c_1100_8' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_1100_10' : d['c_0101_3'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_2'], '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'], '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_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_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_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], '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' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0101_8, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9556334751/561637193432*c_1001_2^9 - 67997479801/140409298358*c_1001_2^8 - 219373339601/40116942388*c_1001_2^7 - 9197628463487/280818596716*c_1001_2^6 - 66248884407073/561637193432*c_1001_2^5 - 11439548060455/40116942388*c_1001_2^4 - 132382104372337/280818596716*c_1001_2^3 - 35733469713754/70204649179*c_1001_2^2 - 22719221006583/70204649179*c_1001_2 - 12973692965929/140409298358, c_0011_0 - 1, c_0011_10 - 106731293/1099094312*c_1001_2^9 - 240417918/137386789*c_1001_2^8 - 14443111617/1099094312*c_1001_2^7 - 29774747309/549547156*c_1001_2^6 - 40753043423/274773578*c_1001_2^5 - 38737688179/137386789*c_1001_2^4 - 50940158239/137386789*c_1001_2^3 - 45303032352/137386789*c_1001_2^2 - 25646288290/137386789*c_1001_2 - 7516356756/137386789, c_0101_0 - 1, c_0101_1 + 48086923/1099094312*c_1001_2^9 + 108656415/137386789*c_1001_2^8 + 6553157867/1099094312*c_1001_2^7 + 3393210438/137386789*c_1001_2^6 + 37294624261/549547156*c_1001_2^5 + 35583954349/274773578*c_1001_2^4 + 46964651467/274773578*c_1001_2^3 + 20905382701/137386789*c_1001_2^2 + 11746364854/137386789*c_1001_2 + 3330382188/137386789, c_0101_10 - 297239281/2198188624*c_1001_2^9 - 2647164655/1099094312*c_1001_2^8 - 39174334351/2198188624*c_1001_2^7 - 39661577779/549547156*c_1001_2^6 - 213942206353/1099094312*c_1001_2^5 - 100081739843/274773578*c_1001_2^4 - 129403253785/274773578*c_1001_2^3 - 113274832175/274773578*c_1001_2^2 - 31615213518/137386789*c_1001_2 - 18077502481/274773578, c_0101_2 - 5882663/549547156*c_1001_2^9 - 118160623/549547156*c_1001_2^8 - 982690729/549547156*c_1001_2^7 - 4400943945/549547156*c_1001_2^6 - 6170735957/274773578*c_1001_2^5 - 6004108006/137386789*c_1001_2^4 - 15555365109/274773578*c_1001_2^3 - 6543926867/137386789*c_1001_2^2 - 3474118855/137386789*c_1001_2 - 910143355/137386789, c_0101_3 + 317514245/2198188624*c_1001_2^9 + 2826972709/1099094312*c_1001_2^8 + 41826496351/2198188624*c_1001_2^7 + 42341909287/549547156*c_1001_2^6 + 228375921915/1099094312*c_1001_2^5 + 106730631531/274773578*c_1001_2^4 + 68835580573/137386789*c_1001_2^3 + 119857521861/274773578*c_1001_2^2 + 33056014260/137386789*c_1001_2 + 18427555781/274773578, c_0101_7 - 53088157/549547156*c_1001_2^9 - 478274375/274773578*c_1001_2^8 - 3583815531/274773578*c_1001_2^7 - 7345864170/137386789*c_1001_2^6 - 79675715813/549547156*c_1001_2^5 - 74925638621/274773578*c_1001_2^4 - 48423239602/137386789*c_1001_2^3 - 42100094486/137386789*c_1001_2^2 - 23158857865/137386789*c_1001_2 - 6408056644/137386789, c_0101_8 - 108911363/1099094312*c_1001_2^9 - 489977619/274773578*c_1001_2^8 - 14684394389/1099094312*c_1001_2^7 - 30161768037/549547156*c_1001_2^6 - 82193500171/549547156*c_1001_2^5 - 38867979770/137386789*c_1001_2^4 - 50804991251/137386789*c_1001_2^3 - 44849117977/137386789*c_1001_2^2 - 25325962830/137386789*c_1001_2 - 7378715912/137386789, c_1001_1 + 78742419/1099094312*c_1001_2^9 + 709435089/549547156*c_1001_2^8 + 10657262765/1099094312*c_1001_2^7 + 21991621785/549547156*c_1001_2^6 + 15084970961/137386789*c_1001_2^5 + 57576613227/274773578*c_1001_2^4 + 76151331695/274773578*c_1001_2^3 + 34129122463/137386789*c_1001_2^2 + 19485066291/137386789*c_1001_2 + 5705874240/137386789, c_1001_2^10 + 19*c_1001_2^9 + 153*c_1001_2^8 + 691*c_1001_2^7 + 2078*c_1001_2^6 + 4418*c_1001_2^5 + 6712*c_1001_2^4 + 7224*c_1001_2^3 + 5352*c_1001_2^2 + 2520*c_1001_2 + 584 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB