Magma V2.19-8 Tue Aug 20 2013 23:50:45 on localhost [Seed = 2034176581] Type ? for help. Type -D to quit. Loading file "L12n829__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n829 geometric_solution 10.71919775 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 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 2 0 -1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785621476772 0.441051156803 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 1 -1 0 -2 0 2 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 0.601167204536 0.466176821968 3 0 5 6 0213 0132 1302 2310 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584626702598 0.441690989962 2 8 8 0 0213 0132 1302 0132 1 0 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 -1 0 0 1 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881262266622 0.961648997307 5 9 0 7 2310 0132 0132 0132 1 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 0 0 0 -1 0 1 -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 0.295182510334 0.380958280587 2 1 4 9 2031 0132 3201 1023 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 -1 1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055256574931 0.586573340706 2 7 1 8 3201 2031 0132 1302 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456182747160 0.852151723135 6 10 4 1 1302 0132 0132 0132 1 0 1 1 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 -1 1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197719131645 1.830255359587 3 3 6 11 2031 0132 2031 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482034546568 0.565213078783 10 4 11 5 2031 0132 2103 1023 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 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 0.029046204761 0.964997381129 11 7 9 11 3201 0132 1302 0321 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 0 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 0.469585915657 0.889622669328 9 10 8 10 2103 0321 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.214804429873 0.702749152834 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0110_6']), 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_4'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_4'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_8, c_0110_5, c_0110_6, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 816696/4332427*c_0110_9^7 + 8910196/4332427*c_0110_9^6 + 3179091/393857*c_0110_9^5 + 65162345/4332427*c_0110_9^4 + 74988468/4332427*c_0110_9^3 + 33378333/4332427*c_0110_9^2 - 74837728/4332427*c_0110_9 + 18822559/4332427, c_0011_0 - 1, c_0011_10 - 3574/393857*c_0110_9^7 - 36153/393857*c_0110_9^6 - 135902/393857*c_0110_9^5 - 337304/393857*c_0110_9^4 - 681637/393857*c_0110_9^3 - 819011/393857*c_0110_9^2 - 729245/393857*c_0110_9 - 216167/393857, c_0011_11 + 11512/393857*c_0110_9^7 + 100361/393857*c_0110_9^6 + 349365/393857*c_0110_9^5 + 699225/393857*c_0110_9^4 + 938412/393857*c_0110_9^3 + 617209/393857*c_0110_9^2 - 217424/393857*c_0110_9 - 688939/393857, c_0011_4 - 4128/393857*c_0110_9^7 - 38451/393857*c_0110_9^6 - 165784/393857*c_0110_9^5 - 434110/393857*c_0110_9^4 - 777158/393857*c_0110_9^3 - 913786/393857*c_0110_9^2 - 287975/393857*c_0110_9 + 18774/393857, c_0011_6 - 22184/393857*c_0110_9^7 - 204347/393857*c_0110_9^6 - 765749/393857*c_0110_9^5 - 1681072/393857*c_0110_9^4 - 2410221/393857*c_0110_9^3 - 1685056/393857*c_0110_9^2 - 113367/393857*c_0110_9 + 838229/393857, c_0101_0 - 1, c_0101_1 + 22329/393857*c_0110_9^7 + 177933/393857*c_0110_9^6 + 583040/393857*c_0110_9^5 + 1177475/393857*c_0110_9^4 + 1551532/393857*c_0110_9^3 + 908640/393857*c_0110_9^2 + 63278/393857*c_0110_9 - 375763/393857, c_0101_11 + 7384/393857*c_0110_9^7 + 61910/393857*c_0110_9^6 + 183581/393857*c_0110_9^5 + 265115/393857*c_0110_9^4 + 161254/393857*c_0110_9^3 - 296577/393857*c_0110_9^2 - 505399/393857*c_0110_9 - 276308/393857, c_0101_8 + 8674/393857*c_0110_9^7 + 98542/393857*c_0110_9^6 + 432317/393857*c_0110_9^5 + 1040792/393857*c_0110_9^4 + 1634919/393857*c_0110_9^3 + 1515177/393857*c_0110_9^2 + 692316/393857*c_0110_9 - 331407/393857, c_0110_5 + 6126/393857*c_0110_9^7 + 43895/393857*c_0110_9^6 + 149851/393857*c_0110_9^5 + 375165/393857*c_0110_9^4 + 614048/393857*c_0110_9^3 + 466456/393857*c_0110_9^2 - 73550/393857*c_0110_9 - 230514/393857, c_0110_6 - 16058/393857*c_0110_9^7 - 160452/393857*c_0110_9^6 - 615898/393857*c_0110_9^5 - 1305907/393857*c_0110_9^4 - 1796173/393857*c_0110_9^3 - 1218600/393857*c_0110_9^2 - 186917/393857*c_0110_9 + 607715/393857, c_0110_9^8 + 9*c_0110_9^7 + 33*c_0110_9^6 + 72*c_0110_9^5 + 104*c_0110_9^4 + 76*c_0110_9^3 + 13*c_0110_9^2 - 36*c_0110_9 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB