Magma V2.19-8 Tue Aug 20 2013 23:52:50 on localhost [Seed = 1090988687] Type ? for help. Type -D to quit. Loading file "K12n319__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n319 geometric_solution 11.59900329 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 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 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 0.403648764278 0.987679527059 0 5 7 6 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 0 0 0 0 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 0.600903890255 0.626393787222 7 0 3 6 0132 0132 0213 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 -1 0 1 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 0.610451329503 0.402711847992 8 2 9 0 0132 0213 0132 0132 0 0 0 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 -8 0 8 0 0 0 0 0 -9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.042540516872 1.036981309820 8 9 0 10 1302 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 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 0.499571943495 0.669234527302 9 1 7 10 2103 0132 1023 2103 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 -8 0 8 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 1.149588422373 0.748487357485 11 2 1 11 0132 1302 0132 2031 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 1 0 -1 9 0 -1 -8 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121716235846 0.840628607827 2 10 5 1 0132 2103 1023 0132 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 8 -8 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 1.167197216445 0.804315202459 3 4 12 11 0132 2031 0132 3012 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 -1 8 0 -8 0 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506588907229 0.170970510977 12 4 5 3 2310 0132 2103 0132 0 0 0 0 0 0 0 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 8 -8 8 0 0 -8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872578499018 0.894567369695 12 7 4 5 1230 2103 0132 2103 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 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778120015914 1.346425020832 6 6 8 12 0132 1302 1230 3120 0 0 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 8 0 -8 -9 0 9 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 0.831294417226 1.165158766165 11 10 9 8 3120 3012 3201 0132 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 0 0 0 0 0 -8 8 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681453845872 0.641429353484 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : d['c_0011_0'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_1001_1']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), '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_12' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_4'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0110_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_4'], '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_0011_4'], '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_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_0'], 'c_0110_6' : negation(d['c_0011_4']), '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_0'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0101_12']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10']})} 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_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_12, c_0101_7, c_0110_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 318775805/19985669*c_1001_2^11 - 1103148841/39971338*c_1001_2^10 + 4703242573/39971338*c_1001_2^9 - 3493704267/39971338*c_1001_2^8 + 1041187657/3633758*c_1001_2^7 + 20850133400/19985669*c_1001_2^6 - 9784384824/19985669*c_1001_2^5 + 60128008441/39971338*c_1001_2^4 - 69712468561/39971338*c_1001_2^3 + 16418313052/19985669*c_1001_2^2 - 42824726963/39971338*c_1001_2 + 4893879908/19985669, c_0011_0 - 1, c_0011_10 - 223094/899*c_1001_2^11 + 388421/899*c_1001_2^10 - 345724/899*c_1001_2^9 + 134001/899*c_1001_2^8 + 4496136/899*c_1001_2^7 - 1735967/899*c_1001_2^6 + 11600061/899*c_1001_2^5 - 4140958/899*c_1001_2^4 + 10756273/899*c_1001_2^3 - 3471516/899*c_1001_2^2 + 3567593/899*c_1001_2 - 866482/899, c_0011_11 - 3703/899*c_1001_2^11 + 6162/899*c_1001_2^10 - 5207/899*c_1001_2^9 + 1861/899*c_1001_2^8 + 74574/899*c_1001_2^7 - 22904/899*c_1001_2^6 + 189698/899*c_1001_2^5 - 56520/899*c_1001_2^4 + 173069/899*c_1001_2^3 - 49165/899*c_1001_2^2 + 56067/899*c_1001_2 - 13255/899, c_0011_12 - 579604/899*c_1001_2^11 + 1009439/899*c_1001_2^10 - 898254/899*c_1001_2^9 + 347698/899*c_1001_2^8 + 11681396/899*c_1001_2^7 - 4516225/899*c_1001_2^6 + 30129569/899*c_1001_2^5 - 10769135/899*c_1001_2^4 + 27933596/899*c_1001_2^3 - 9022021/899*c_1001_2^2 + 9262373/899*c_1001_2 - 2249241/899, c_0011_3 + 60868/899*c_1001_2^11 - 106338/899*c_1001_2^10 + 94932/899*c_1001_2^9 - 36880/899*c_1001_2^8 - 1226821/899*c_1001_2^7 + 481108/899*c_1001_2^6 - 3167180/899*c_1001_2^5 + 1144388/899*c_1001_2^4 - 2939584/899*c_1001_2^3 + 956143/899*c_1001_2^2 - 976124/899*c_1001_2 + 237559/899, c_0011_4 + 219391/899*c_1001_2^11 - 382259/899*c_1001_2^10 + 340517/899*c_1001_2^9 - 132140/899*c_1001_2^8 - 4421562/899*c_1001_2^7 + 1713063/899*c_1001_2^6 - 11410363/899*c_1001_2^5 + 4084438/899*c_1001_2^4 - 10583204/899*c_1001_2^3 + 3422351/899*c_1001_2^2 - 3510627/899*c_1001_2 + 853227/899, c_0101_0 + 458510/899*c_1001_2^11 - 798674/899*c_1001_2^10 + 710864/899*c_1001_2^9 - 275215/899*c_1001_2^8 - 9240981/899*c_1001_2^7 + 3575462/899*c_1001_2^6 - 23836617/899*c_1001_2^5 + 8523708/899*c_1001_2^4 - 22100346/899*c_1001_2^3 + 7140419/899*c_1001_2^2 - 7328281/899*c_1001_2 + 1779935/899, c_0101_10 - 490550/899*c_1001_2^11 + 854481/899*c_1001_2^10 - 760682/899*c_1001_2^9 + 294651/899*c_1001_2^8 + 9886568/899*c_1001_2^7 - 3825110/899*c_1001_2^6 + 25505369/899*c_1001_2^5 - 9119738/899*c_1001_2^4 + 23652086/899*c_1001_2^3 - 7640884/899*c_1001_2^2 + 7844319/899*c_1001_2 - 1905374/899, c_0101_12 - 129720/899*c_1001_2^11 + 226292/899*c_1001_2^10 - 201738/899*c_1001_2^9 + 78192/899*c_1001_2^8 + 2614606/899*c_1001_2^7 - 1018424/899*c_1001_2^6 + 6746992/899*c_1001_2^5 - 2423743/899*c_1001_2^4 + 6258984/899*c_1001_2^3 - 2028537/899*c_1001_2^2 + 2076880/899*c_1001_2 - 505015/899, c_0101_7 + 7650/31*c_1001_2^11 - 13318/31*c_1001_2^10 + 11858/31*c_1001_2^9 - 4603/31*c_1001_2^8 - 154169/31*c_1001_2^7 + 59507/31*c_1001_2^6 - 397865/31*c_1001_2^5 + 141992/31*c_1001_2^4 - 369026/31*c_1001_2^3 + 119087/31*c_1001_2^2 - 122425/31*c_1001_2 + 29751/31, c_0110_5 - 64571/899*c_1001_2^11 + 112500/899*c_1001_2^10 - 100139/899*c_1001_2^9 + 38741/899*c_1001_2^8 + 1301395/899*c_1001_2^7 - 504012/899*c_1001_2^6 + 3356878/899*c_1001_2^5 - 1200908/899*c_1001_2^4 + 3112653/899*c_1001_2^3 - 1004409/899*c_1001_2^2 + 1032191/899*c_1001_2 - 249915/899, c_1001_1 + 111542/899*c_1001_2^11 - 194120/899*c_1001_2^10 + 172249/899*c_1001_2^9 - 66296/899*c_1001_2^8 - 2248028/899*c_1001_2^7 + 865926/899*c_1001_2^6 - 5789784/899*c_1001_2^5 + 2067485/899*c_1001_2^4 - 5360324/899*c_1001_2^3 + 1732696/899*c_1001_2^2 - 1774224/899*c_1001_2 + 432588/899, c_1001_2^12 - 2*c_1001_2^11 + 2*c_1001_2^10 - c_1001_2^9 - 20*c_1001_2^8 + 13*c_1001_2^7 - 54*c_1001_2^6 + 32*c_1001_2^5 - 53*c_1001_2^4 + 28*c_1001_2^3 - 20*c_1001_2^2 + 8*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.910 Total time: 4.120 seconds, Total memory usage: 122.59MB