Magma V2.19-8 Tue Aug 20 2013 23:49:12 on localhost [Seed = 459108765] Type ? for help. Type -D to quit. Loading file "L12n1479__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1479 geometric_solution 11.29496914 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 1 1 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 0 1 -1 0 0 -8 8 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592051482148 1.006161812373 0 5 6 6 0132 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 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 0.456475552708 0.683904854771 7 0 8 8 0132 0132 2103 0132 2 0 1 1 0 0 0 0 -1 0 1 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 0 0 0 1 0 -1 0 -2 0 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453487024088 0.937872700339 9 10 11 0 0132 0132 0132 0132 2 2 1 2 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 -8 0 0 8 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909950514481 0.835436660554 7 7 0 8 3012 0213 0132 0213 2 2 0 1 0 0 0 0 -1 0 1 0 3 -2 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 8 0 -8 0 -2 1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453487024088 0.937872700339 7 1 10 9 1023 0132 2103 2031 2 2 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 -1 0 1 -7 0 0 7 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.417861920622 0.864195152332 9 1 1 11 2103 0213 0132 0321 2 2 2 1 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 1 0 -1 0 0 0 0 -7 0 0 7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712216785318 0.896166712565 2 5 4 4 0132 1023 0213 1230 2 0 1 1 0 -1 0 1 1 0 2 -3 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 7 1 -8 -1 0 -1 2 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453487024088 0.937872700339 2 10 2 4 2103 0213 0132 0213 2 0 2 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 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 0.582138079378 0.864195152332 3 5 6 11 0132 1302 2103 1230 2 2 2 1 0 1 -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 0 0 0 0 -7 7 0 8 0 0 -8 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.050314961440 0.705389887906 5 3 8 11 2103 0132 0213 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474846638184 0.389549091366 9 6 10 3 3012 0321 0132 0132 2 2 2 2 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 0 -1 0 0 0 0 8 -7 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.002976466305 1.040308740124 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : d['c_1001_11'], 's_3_11' : 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_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_1001_11'], 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : d['c_0110_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1010_8'], 'c_1100_10' : d['c_1010_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0110_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0110_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_4'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_11'])})} 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_0011_8, c_0101_0, c_0101_11, c_0110_4, c_1001_0, c_1001_11, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 66922305095747/34255729328128*c_1010_8^6 + 38143124408943/3114157211648*c_1010_8^5 + 53345487910709/4893675618304*c_1010_8^4 + 284652918988121/2140983083008*c_1010_8^3 - 38491467564892499/34255729328128*c_1010_8^2 - 42239270775315529/34255729328128*c_1010_8 - 5615475033539647/8563932332032, c_0011_0 - 1, c_0011_10 + 47967/74671564*c_1010_8^6 - 35271/6788324*c_1010_8^5 + 319609/74671564*c_1010_8^4 - 427851/18667891*c_1010_8^3 + 30137695/74671564*c_1010_8^2 - 19294083/74671564*c_1010_8 - 10994018/18667891, c_0011_11 - 613/18667891*c_1010_8^6 - 9476/1697081*c_1010_8^5 + 310164/18667891*c_1010_8^4 + 929705/18667891*c_1010_8^3 + 8769815/18667891*c_1010_8^2 - 18289349/18667891*c_1010_8 - 6548140/18667891, c_0011_4 - 1, c_0011_6 - 29569/37335782*c_1010_8^6 + 25943/3394162*c_1010_8^5 - 210011/37335782*c_1010_8^4 + 672460/18667891*c_1010_8^3 - 26225965/37335782*c_1010_8^2 + 21458155/37335782*c_1010_8 - 3061653/18667891, c_0011_8 + 30182/18667891*c_1010_8^6 - 16467/1697081*c_1010_8^5 - 100153/18667891*c_1010_8^4 - 2274625/18667891*c_1010_8^3 + 17456150/18667891*c_1010_8^2 + 15499085/18667891*c_1010_8 - 5996445/18667891, c_0101_0 - 1, c_0101_11 + 12440/18667891*c_1010_8^6 - 17830/1697081*c_1010_8^5 - 29457/18667891*c_1010_8^4 + 890125/18667891*c_1010_8^3 + 16123595/18667891*c_1010_8^2 + 9885583/18667891*c_1010_8 - 9618028/18667891, c_0110_4 - 139/57706*c_1010_8^6 + 91/5246*c_1010_8^5 - 15/57706*c_1010_8^4 + 4555/28853*c_1010_8^3 - 94495/57706*c_1010_8^2 - 14745/57706*c_1010_8 + 4536/28853, c_1001_0 + 29569/37335782*c_1010_8^6 - 25943/3394162*c_1010_8^5 + 210011/37335782*c_1010_8^4 - 672460/18667891*c_1010_8^3 + 26225965/37335782*c_1010_8^2 - 21458155/37335782*c_1010_8 + 3061653/18667891, c_1001_11 - 17928/18667891*c_1010_8^6 + 8878/1697081*c_1010_8^5 - 157698/18667891*c_1010_8^4 + 1749947/18667891*c_1010_8^3 - 6895963/18667891*c_1010_8^2 + 10246228/18667891*c_1010_8 + 4971828/18667891, c_1010_8^7 - 7*c_1010_8^6 - c_1010_8^5 - 64*c_1010_8^4 + 625*c_1010_8^3 + 211*c_1010_8^2 - 124*c_1010_8 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB