Magma V2.19-8 Tue Aug 20 2013 17:56:06 on localhost [Seed = 2412656715] Type ? for help. Type -D to quit. Loading file "11_317__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_317 geometric_solution 9.01207155 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 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 -1 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 0.592368960048 0.845604399177 0 5 4 5 0132 0132 0132 1230 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 0 -1 1 -1 -1 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463629852448 0.694505177199 3 0 7 6 0321 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 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 0.752762673547 0.279784099246 2 8 5 0 0321 0132 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 -1 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 0.246744894941 1.317701845988 5 7 0 1 2310 1023 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 -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 -0.406016260036 0.953275215515 1 1 4 3 3012 0132 3201 3012 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 1 -1 1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696557128176 0.901919195057 8 6 2 6 0213 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815199660522 1.066154498933 4 9 9 2 1023 0132 1023 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 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 0.593250680575 0.651802297887 6 3 9 9 0213 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.019318902258 1.735949872086 8 7 7 8 3120 0132 1023 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.175082106221 1.217667768660 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0110_6'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(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_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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : negation(d['c_0011_6']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0011_4'], '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' : 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' : 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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 'c_0110_9' : negation(d['c_0110_6']), 'c_0110_8' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_1, c_0101_2, c_0101_7, c_0101_9, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 50536916809/28791489160*c_0110_6^11 - 20848987762/3598936145*c_0110_6^10 + 26609811466/1542401205*c_0110_6^9 - 2754379539743/86374467480*c_0110_6^8 + 623362531577/14395744580*c_0110_6^7 - 127759692551/2467841928*c_0110_6^6 + 654592717403/43187233740*c_0110_6^5 + 372903563237/86374467480*c_0110_6^4 - 494395998484/10796808435*c_0110_6^3 + 726721573247/8637446748*c_0110_6^2 - 227584103101/8637446748*c_0110_6 + 1190744492953/21593616870, c_0011_0 - 1, c_0011_3 - 109/26056*c_0110_6^11 + 6697/26056*c_0110_6^10 - 13827/26056*c_0110_6^9 + 20693/13028*c_0110_6^8 - 23583/13028*c_0110_6^7 + 58341/26056*c_0110_6^6 - 52531/26056*c_0110_6^5 - 23399/13028*c_0110_6^4 - 3246/3257*c_0110_6^3 - 35247/13028*c_0110_6^2 + 3191/3257*c_0110_6 + 5910/3257, c_0011_4 - 109/26056*c_0110_6^11 + 6697/26056*c_0110_6^10 - 13827/26056*c_0110_6^9 + 20693/13028*c_0110_6^8 - 23583/13028*c_0110_6^7 + 58341/26056*c_0110_6^6 - 52531/26056*c_0110_6^5 - 23399/13028*c_0110_6^4 - 3246/3257*c_0110_6^3 - 35247/13028*c_0110_6^2 - 66/3257*c_0110_6 + 5910/3257, c_0011_6 + 1047/26056*c_0110_6^11 - 1459/26056*c_0110_6^10 + 6121/26056*c_0110_6^9 - 2271/13028*c_0110_6^8 + 4453/13028*c_0110_6^7 - 4135/26056*c_0110_6^6 - 10079/26056*c_0110_6^5 - 8191/13028*c_0110_6^4 - 2526/3257*c_0110_6^3 - 9127/13028*c_0110_6^2 - 1129/3257*c_0110_6 + 722/3257, c_0101_1 + 1477/26056*c_0110_6^11 - 5169/26056*c_0110_6^10 + 11783/26056*c_0110_6^9 - 9979/13028*c_0110_6^8 + 5753/13028*c_0110_6^7 - 12453/26056*c_0110_6^6 - 23725/26056*c_0110_6^5 + 9953/13028*c_0110_6^4 + 927/6514*c_0110_6^3 + 24143/13028*c_0110_6^2 + 6990/3257*c_0110_6 + 5047/3257, c_0101_2 + 531/26056*c_0110_6^11 - 3521/26056*c_0110_6^10 + 16263/26056*c_0110_6^9 - 9213/6514*c_0110_6^8 + 35463/13028*c_0110_6^7 - 74927/26056*c_0110_6^6 + 59711/26056*c_0110_6^5 - 2931/6514*c_0110_6^4 - 14181/6514*c_0110_6^3 + 3061/13028*c_0110_6^2 - 9367/6514*c_0110_6 - 7725/3257, c_0101_7 - 1297/13028*c_0110_6^11 + 3313/13028*c_0110_6^10 - 7595/13028*c_0110_6^9 + 5389/6514*c_0110_6^8 - 2785/6514*c_0110_6^7 + 9577/13028*c_0110_6^6 + 14377/13028*c_0110_6^5 - 237/6514*c_0110_6^4 - 3802/3257*c_0110_6^3 - 10519/6514*c_0110_6^2 - 9758/3257*c_0110_6 - 4125/3257, c_0101_9 - 2677/26056*c_0110_6^11 + 8857/26056*c_0110_6^10 - 26675/26056*c_0110_6^9 + 21037/13028*c_0110_6^8 - 27711/13028*c_0110_6^7 + 48997/26056*c_0110_6^6 - 18179/26056*c_0110_6^5 + 5613/13028*c_0110_6^4 + 2063/3257*c_0110_6^3 + 6625/13028*c_0110_6^2 + 650/3257*c_0110_6 + 2198/3257, c_0110_5 - 833/6514*c_0110_6^11 + 1279/6514*c_0110_6^10 - 2879/6514*c_0110_6^9 + 71/3257*c_0110_6^8 + 2405/3257*c_0110_6^7 - 5943/6514*c_0110_6^6 + 18073/6514*c_0110_6^5 + 345/3257*c_0110_6^4 - 351/3257*c_0110_6^3 - 1962/3257*c_0110_6^2 - 7665/3257*c_0110_6 - 7079/3257, c_0110_6^12 - 3*c_0110_6^11 + 9*c_0110_6^10 - 16*c_0110_6^9 + 22*c_0110_6^8 - 29*c_0110_6^7 + 13*c_0110_6^6 - 16*c_0110_6^5 + 14*c_0110_6^3 + 20*c_0110_6^2 + 16*c_0110_6 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.300 seconds, Total memory usage: 32.09MB