Magma V2.19-8 Wed Aug 21 2013 00:56:58 on localhost [Seed = 2395509849] Type ? for help. Type -D to quit. Loading file "L13n3191__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3191 geometric_solution 11.91846510 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 1 -1 -1 0 1 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 4 -5 -4 0 4 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 0.556421848511 1.031756182763 0 5 7 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103269651719 0.828322528485 6 0 9 8 0132 0132 0132 0132 1 1 0 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 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 0.882410703334 0.978441484715 10 5 7 0 0132 1230 1302 0132 1 1 0 1 0 0 1 -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 4 -4 0 0 4 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797402392644 1.262027301743 10 7 0 9 3012 0132 0132 3120 1 1 1 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 5 -5 5 0 0 -5 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266691451102 0.825168213633 11 1 3 9 0132 0132 3012 0321 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 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 0.634508430684 0.423783350040 2 12 1 8 0132 0132 0132 0213 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 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 0.460134010365 0.777891456250 3 4 11 1 2031 0132 1023 0132 1 1 1 1 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 0 0 0 -4 0 0 4 -1 0 0 1 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.332028280993 0.925562026289 10 11 2 6 2103 1302 0132 0213 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473887963984 0.987692834481 4 5 12 2 3120 0321 0321 0132 1 1 1 1 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 1 0 -1 5 0 -5 0 1 -1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058619846522 0.989685145832 3 12 8 4 0132 1302 2103 1230 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 5 0 -5 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 0.328145097358 0.409864131831 5 12 7 8 0132 1023 1023 2031 1 1 0 1 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.047529275678 1.085498100753 11 6 9 10 1023 0132 0321 2031 1 1 0 1 0 0 0 0 0 0 1 -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 0 0 0 0 0 5 -5 0 1 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656266139591 0.353905230589 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : 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_9']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : d['c_1001_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_12'], 'c_1100_7' : d['c_1010_8'], 'c_1100_6' : d['c_1010_8'], 'c_1100_1' : d['c_1010_8'], 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1010_8']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_1001_12'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), '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' : d['c_0101_2'], 'c_0110_8' : negation(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_0'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_1001_1, c_1001_12, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 155625053945228563/1491438266316449*c_1010_8^9 + 1957191936151011/1491438266316449*c_1010_8^8 - 6375171156991281621/10440067864215143*c_1010_8^7 - 3509353454678331214/10440067864215143*c_1010_8^6 + 15645927105406998821/10440067864215143*c_1010_8^5 + 14371790485281953170/10440067864215143*c_1010_8^4 - 17642998965946171645/10440067864215143*c_1010_8^3 - 43023159851106459907/10440067864215143*c_1010_8^2 - 31136822667796493467/10440067864215143*c_1010_8 - 10299867700632765875/10440067864215143, c_0011_0 - 1, c_0011_10 - 163784975/4408543192*c_1010_8^9 - 558138887/4408543192*c_1010_8^8 + 6070882963/15429901172*c_1010_8^7 + 2699539583/3857475293*c_1010_8^6 - 35104255379/30859802344*c_1010_8^5 - 7059756957/3857475293*c_1010_8^4 + 45211299821/30859802344*c_1010_8^3 + 53933085777/15429901172*c_1010_8^2 + 6344254757/2204271596*c_1010_8 + 7248414903/30859802344, c_0011_4 + 51588662/551067899*c_1010_8^9 + 157924497/551067899*c_1010_8^8 - 3216525754/3857475293*c_1010_8^7 - 7669493478/3857475293*c_1010_8^6 + 9649721002/3857475293*c_1010_8^5 + 22518567671/3857475293*c_1010_8^4 - 14210623131/3857475293*c_1010_8^3 - 40322545437/3857475293*c_1010_8^2 - 21687333294/3857475293*c_1010_8 + 996513617/3857475293, c_0011_8 - 440098453/2204271596*c_1010_8^9 - 233743805/2204271596*c_1010_8^8 + 10414857927/7714950586*c_1010_8^7 + 4411444701/3857475293*c_1010_8^6 - 8211734123/2204271596*c_1010_8^5 - 14733053519/3857475293*c_1010_8^4 + 81753378703/15429901172*c_1010_8^3 + 72968980377/7714950586*c_1010_8^2 + 35453537897/7714950586*c_1010_8 + 1697706451/2204271596, c_0011_9 - 200475846/551067899*c_1010_8^9 + 173462718/551067899*c_1010_8^8 + 7381548408/3857475293*c_1010_8^7 - 2423383166/3857475293*c_1010_8^6 - 19974310185/3857475293*c_1010_8^5 + 1932126580/3857475293*c_1010_8^4 + 26612921869/3857475293*c_1010_8^3 + 25505837491/3857475293*c_1010_8^2 + 1403589038/551067899*c_1010_8 + 7077603794/3857475293, c_0101_0 + 893278795/4408543192*c_1010_8^9 - 1485908621/4408543192*c_1010_8^8 - 15956463035/15429901172*c_1010_8^7 + 5381274216/3857475293*c_1010_8^6 + 12821076953/4408543192*c_1010_8^5 - 11885045565/3857475293*c_1010_8^4 - 142076146377/30859802344*c_1010_8^3 + 9093211903/15429901172*c_1010_8^2 + 45274823161/15429901172*c_1010_8 + 672738235/4408543192, c_0101_1 - 1, c_0101_12 + 258505436/551067899*c_1010_8^9 - 207078765/551067899*c_1010_8^8 - 1370539809/551067899*c_1010_8^7 + 2485542866/3857475293*c_1010_8^6 + 24865446286/3857475293*c_1010_8^5 + 210070170/551067899*c_1010_8^4 - 32320494748/3857475293*c_1010_8^3 - 41045848058/3857475293*c_1010_8^2 - 14738841431/3857475293*c_1010_8 - 5173100549/3857475293, c_0101_2 - 122991259/551067899*c_1010_8^9 + 183153281/551067899*c_1010_8^8 + 4247343451/3857475293*c_1010_8^7 - 4443472052/3857475293*c_1010_8^6 - 11694331487/3857475293*c_1010_8^5 + 7396534875/3857475293*c_1010_8^4 + 19384959681/3857475293*c_1010_8^3 + 8654466210/3857475293*c_1010_8^2 - 1657053079/551067899*c_1010_8 - 4535672740/3857475293, c_0101_5 - 1904258513/4408543192*c_1010_8^9 + 2214769007/4408543192*c_1010_8^8 + 32304231689/15429901172*c_1010_8^7 - 5185082449/3857475293*c_1010_8^6 - 163819314909/30859802344*c_1010_8^5 + 5589265767/3857475293*c_1010_8^4 + 213352658163/30859802344*c_1010_8^3 + 110250306455/15429901172*c_1010_8^2 + 29975483597/15429901172*c_1010_8 + 34136389489/30859802344, c_1001_1 + 38078317/551067899*c_1010_8^9 + 59986687/551067899*c_1010_8^8 - 2048459864/3857475293*c_1010_8^7 - 2867219018/3857475293*c_1010_8^6 + 5546157047/3857475293*c_1010_8^5 + 7164254336/3857475293*c_1010_8^4 - 5293698874/3857475293*c_1010_8^3 - 16375807778/3857475293*c_1010_8^2 - 1985306692/551067899*c_1010_8 - 4953709616/3857475293, c_1001_12 - 355428017/551067899*c_1010_8^9 + 303488634/551067899*c_1010_8^8 + 2005590988/551067899*c_1010_8^7 - 5502636369/3857475293*c_1010_8^6 - 38155670293/3857475293*c_1010_8^5 + 509113168/551067899*c_1010_8^4 + 56446852730/3857475293*c_1010_8^3 + 46470743859/3857475293*c_1010_8^2 + 5075704134/3857475293*c_1010_8 - 6462284343/3857475293, c_1010_8^10 - 41/7*c_1010_8^8 - 22/7*c_1010_8^7 + 101/7*c_1010_8^6 + 13*c_1010_8^5 - 115/7*c_1010_8^4 - 275/7*c_1010_8^3 - 28*c_1010_8^2 - 9*c_1010_8 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB