Magma V2.19-8 Tue Sep 10 2013 20:08:56 on localhost [Seed = 1010948840] Type ? for help. Type -D to quit. Loading file "11_386__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_386 geometric_solution 14.78731680 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 0 0 0 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 1 0 -1 0 0 1 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503252451674 1.127225280701 0 5 7 6 0132 0132 0132 0132 0 0 0 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 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 0.576567490466 0.601823093330 5 0 3 8 0321 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 -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 -1 0 1 0 0 2 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663656840044 0.592364589424 9 2 6 0 0132 0213 0132 0132 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 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128577317522 0.651472811093 10 11 0 7 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 0 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.235772449630 0.926062823738 2 1 9 8 0321 0132 0213 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.187568300656 1.435852292911 12 11 1 3 0132 0321 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777033877125 0.749192495089 10 13 4 1 3120 0132 0132 0132 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 -1 1 0 0 0 0 0 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359070528355 0.801360393111 5 13 2 13 3201 1023 0132 1302 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 -1 1 0 0 2 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291021923613 0.726146891367 3 5 12 10 0132 0213 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 -0.282945523500 1.458258470888 4 9 14 7 0132 0321 0132 3120 0 0 0 0 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 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732541553081 0.440751488736 14 4 15 6 0132 0132 0132 0321 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 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 0 0 0.443456096130 0.789261298170 6 15 14 9 0132 0213 0213 0132 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 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 0.364918041765 1.226167700668 8 7 8 15 1023 0132 2031 0321 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 1 -1 0 0 0 -1 1 1 -1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291021923613 0.726146891367 11 12 15 10 0132 0213 2103 0132 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 0 0 0 1 0 -2 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 1.107385043782 1.140969461310 14 13 12 11 2103 0321 0213 0132 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 0 0 0 2 0 -2 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 0.837172858311 1.275029408006 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0011_15'], 'c_1001_14' : d['c_0011_15'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_0110_8']), 'c_1001_12' : d['c_0011_15'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0110_8']), 'c_1001_0' : d['c_0101_13'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : d['c_0101_13'], 'c_1010_13' : d['c_1001_11'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_13'], 'c_1010_15' : d['c_1001_11'], 'c_1010_14' : d['c_1001_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : d['c_0011_12'], 'c_0101_14' : d['c_0011_12'], '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_0011_15' : d['c_0011_15'], 'c_0011_14' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_13'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_13'], 'c_1100_14' : negation(d['c_0101_10']), 's_0_15' : d['1'], 'c_1100_15' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_5'], 'c_1100_10' : negation(d['c_0101_10']), 'c_1100_13' : d['c_0011_15'], 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0110_8']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0110_8']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0101_13'], 'c_1010_2' : d['c_0101_13'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0011_13'], 'c_1010_8' : negation(d['c_0011_15']), 'c_1100_8' : d['c_0101_13'], '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'], 'c_1100_12' : d['c_1001_10'], '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_3']), 'c_0011_8' : d['c_0011_13'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_12']), '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_0011_12'], 'c_0110_10' : d['c_0101_1'], 'c_0110_13' : negation(d['c_0011_15']), 'c_0110_12' : d['c_0101_0'], 'c_0110_15' : d['c_0101_10'], 'c_0110_14' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_13']), 'c_0110_0' : d['c_0101_1'], 's_3_12' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_0']), 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_15, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0110_8, c_1001_10, c_1001_11, c_1001_2, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1140989807927/267586228*c_1100_0^8 + 7213353395/1470254*c_1100_0^7 + 16648351792001/133793114*c_1100_0^6 + 3837331021103/66896557*c_1100_0^5 - 3034390363907/38226604*c_1100_0^4 + 14707722501347/133793114*c_1100_0^3 - 1604751129364/9556651*c_1100_0^2 + 21864916300971/267586228*c_1100_0 - 12718944466577/133793114, c_0011_0 - 1, c_0011_10 - 1654535/76453208*c_1100_0^8 - 436011/5881016*c_1100_0^7 - 28975769/38226604*c_1100_0^6 - 71255143/38226604*c_1100_0^5 - 181864087/76453208*c_1100_0^4 - 175781907/76453208*c_1100_0^3 - 11875827/19113302*c_1100_0^2 - 74583403/76453208*c_1100_0 - 15986327/76453208, c_0011_12 + 2572555/38226604*c_1100_0^8 + 352999/2940508*c_1100_0^7 + 39125861/19113302*c_1100_0^6 + 42127003/19113302*c_1100_0^5 + 14363587/38226604*c_1100_0^4 + 75271395/38226604*c_1100_0^3 - 8110020/9556651*c_1100_0^2 + 64319303/38226604*c_1100_0 - 22554377/38226604, c_0011_13 - 6624529/76453208*c_1100_0^8 - 535341/5881016*c_1100_0^7 - 96050011/38226604*c_1100_0^6 - 35668273/38226604*c_1100_0^5 + 142391695/76453208*c_1100_0^4 - 237498101/76453208*c_1100_0^3 + 53187749/19113302*c_1100_0^2 - 110849717/76453208*c_1100_0 + 29037527/76453208, c_0011_15 - 2572555/38226604*c_1100_0^8 - 352999/2940508*c_1100_0^7 - 39125861/19113302*c_1100_0^6 - 42127003/19113302*c_1100_0^5 - 14363587/38226604*c_1100_0^4 - 75271395/38226604*c_1100_0^3 + 8110020/9556651*c_1100_0^2 - 64319303/38226604*c_1100_0 + 22554377/38226604, c_0011_3 + 1581731/76453208*c_1100_0^8 - 202689/5881016*c_1100_0^7 + 18743953/38226604*c_1100_0^6 - 57761597/38226604*c_1100_0^5 - 196080901/76453208*c_1100_0^4 - 6053921/76453208*c_1100_0^3 - 39457603/19113302*c_1100_0^2 + 79538111/76453208*c_1100_0 - 42461701/76453208, c_0101_0 - c_1100_0, c_0101_1 + 1618133/38226604*c_1100_0^8 + 116661/2940508*c_1100_0^7 + 23859861/19113302*c_1100_0^6 + 6746773/19113302*c_1100_0^5 - 7108407/38226604*c_1100_0^4 + 84863993/38226604*c_1100_0^3 - 13790888/9556651*c_1100_0^2 + 77060757/38226604*c_1100_0 - 13237687/38226604, c_0101_10 + 653309/76453208*c_1100_0^8 + 182137/5881016*c_1100_0^7 + 11144495/38226604*c_1100_0^6 + 28812889/38226604*c_1100_0^5 + 50086373/76453208*c_1100_0^4 + 8869353/76453208*c_1100_0^3 + 6221331/19113302*c_1100_0^2 + 63566049/76453208*c_1100_0 - 29762723/76453208, c_0101_13 + 11129343/76453208*c_1100_0^8 + 1615627/5881016*c_1100_0^7 + 170616313/38226604*c_1100_0^6 + 203199355/38226604*c_1100_0^5 + 127562375/76453208*c_1100_0^4 + 519092163/76453208*c_1100_0^3 + 9795973/19113302*c_1100_0^2 + 257671955/76453208*c_1100_0 - 9662937/76453208, c_0110_8 + 2746320/9556651*c_1100_0^8 + 405224/735127*c_1100_0^7 + 84329647/9556651*c_1100_0^6 + 102424030/9556651*c_1100_0^5 + 32508141/9556651*c_1100_0^4 + 115257041/9556651*c_1100_0^3 - 6966441/9556651*c_1100_0^2 + 50591876/9556651*c_1100_0 + 667871/9556651, c_1001_10 - 6773/735127*c_1100_0^8 - 31984/735127*c_1100_0^7 - 270115/735127*c_1100_0^6 - 855598/735127*c_1100_0^5 - 1513476/735127*c_1100_0^4 - 525602/735127*c_1100_0^3 + 214989/735127*c_1100_0^2 - 1219622/735127*c_1100_0 + 230426/735127, c_1001_11 - 11833735/76453208*c_1100_0^8 - 1871499/5881016*c_1100_0^7 - 184662293/38226604*c_1100_0^6 - 247690451/38226604*c_1100_0^5 - 284963879/76453208*c_1100_0^4 - 573754771/76453208*c_1100_0^3 - 4206259/19113302*c_1100_0^2 - 308059435/76453208*c_1100_0 + 33627241/76453208, c_1001_2 - 8463881/38226604*c_1100_0^8 - 1251881/2940508*c_1100_0^7 - 130006265/19113302*c_1100_0^6 - 158133125/19113302*c_1100_0^5 - 103187961/38226604*c_1100_0^4 - 339252153/38226604*c_1100_0^3 + 101368/9556651*c_1100_0^2 - 186711701/38226604*c_1100_0 + 4040603/38226604, c_1001_5 + 5590213/38226604*c_1100_0^8 + 844681/2940508*c_1100_0^7 + 86758899/19113302*c_1100_0^6 + 109438781/19113302*c_1100_0^5 + 117438753/38226604*c_1100_0^4 + 282442709/38226604*c_1100_0^3 - 1007536/9556651*c_1100_0^2 + 122246693/38226604*c_1100_0 - 1932259/38226604, c_1100_0^9 + 2*c_1100_0^8 + 31*c_1100_0^7 + 40*c_1100_0^6 + 19*c_1100_0^5 + 46*c_1100_0^4 + c_1100_0^3 + 25*c_1100_0^2 - 2*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 308.200 Total time: 308.399 seconds, Total memory usage: 2685.78MB