Magma V2.19-8 Wed Aug 21 2013 01:09:20 on localhost [Seed = 1999728382] Type ? for help. Type -D to quit. Loading file "L14n45455__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n45455 geometric_solution 11.98379141 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 2 2 0 0 -1 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 -1 6 -5 1 0 -1 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 0.128931085086 0.823572302448 0 4 3 5 0132 0321 0321 0132 1 2 2 2 0 -1 0 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 5 0 -5 -1 0 0 1 5 1 0 -6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682534876860 0.618063560731 6 0 8 7 0132 0132 0132 0132 1 0 2 2 0 0 0 0 -1 0 -1 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 1 -1 0 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177147533270 0.843523875191 9 5 1 0 0132 0132 0321 0132 1 2 2 2 0 -1 0 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 6 0 -6 0 0 -1 1 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.347499334679 1.420900820531 10 7 0 1 0132 0132 0132 0321 1 2 2 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.191145587972 1.069849729980 11 3 1 12 0132 0132 0132 0132 1 2 2 2 0 1 -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 -6 5 1 0 0 -1 1 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351877133805 0.668161212970 2 10 7 8 0132 0213 0132 0132 1 0 2 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 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 0.177147533270 0.843523875191 8 4 2 6 0132 0132 0132 0132 1 0 2 2 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 0 0 0 0 0 0 0 0 -1 0 1 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 -0.238449654400 1.135426346642 7 10 6 2 0132 0132 0132 0132 1 0 2 2 0 0 0 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 0 0 -1 0 1 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 -0.238449654400 1.135426346642 3 12 12 10 0132 0321 0213 0213 1 2 2 2 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 -1 0 1 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 0 0.351877133805 0.668161212970 4 8 6 9 0132 0132 0213 0213 1 2 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 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 0.380775172800 0.567713173321 5 12 11 11 0132 3012 2031 1302 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 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553986247779 1.487710994763 11 9 5 9 1230 0213 0132 0321 1 2 2 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 6 0 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747975625413 0.771101171112 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_1001_8'], 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_0'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_8'], 'c_1100_8' : d['c_1100_2'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_12'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_1100_2'], 'c_1100_6' : d['c_1100_2'], 'c_1100_1' : d['c_1001_12'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1100_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_1001_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_8'], 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_1001_8'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1001_12'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_12'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_12'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_12'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_2'], '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_11, c_0011_12, c_0101_1, c_0101_11, c_0101_2, c_1001_0, c_1001_1, c_1001_10, c_1001_12, c_1001_8, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 433618615/418827136*c_1100_2^9 + 41049537/119664896*c_1100_2^8 - 2383268387/837654272*c_1100_2^7 + 11558479077/837654272*c_1100_2^6 - 9672432255/837654272*c_1100_2^5 + 295213379/20430592*c_1100_2^4 - 412819797/64434944*c_1100_2^3 + 1158042601/119664896*c_1100_2^2 + 2393454277/837654272*c_1100_2 - 5264454851/418827136, c_0011_0 - 1, c_0011_10 - 5/79*c_1100_2^9 + 1/79*c_1100_2^8 + 6/79*c_1100_2^7 - 84/79*c_1100_2^6 + 106/79*c_1100_2^5 - 202/79*c_1100_2^4 + 80/79*c_1100_2^3 - 180/79*c_1100_2^2 - 29/79*c_1100_2 - 126/79, c_0011_11 - 175/20224*c_1100_2^9 - 485/5056*c_1100_2^8 - 1475/10112*c_1100_2^7 - 127/10112*c_1100_2^6 - 5195/5056*c_1100_2^5 - 8907/10112*c_1100_2^4 - 4525/10112*c_1100_2^3 - 25349/10112*c_1100_2^2 - 27717/20224*c_1100_2 - 24167/10112, c_0011_12 - 695/20224*c_1100_2^9 - 523/10112*c_1100_2^8 + 169/5056*c_1100_2^7 - 2445/5056*c_1100_2^6 - 1797/10112*c_1100_2^5 - 1041/2528*c_1100_2^4 - 5199/5056*c_1100_2^3 - 2463/5056*c_1100_2^2 - 16039/20224*c_1100_2 - 857/10112, c_0101_1 - 885/20224*c_1100_2^9 + 143/5056*c_1100_2^8 + 689/10112*c_1100_2^7 - 7513/10112*c_1100_2^6 + 3155/2528*c_1100_2^5 - 18825/10112*c_1100_2^4 + 14111/10112*c_1100_2^3 - 12059/10112*c_1100_2^2 + 16829/20224*c_1100_2 + 7967/10112, c_0101_11 - 2365/20224*c_1100_2^9 + 39/10112*c_1100_2^8 + 2013/5056*c_1100_2^7 - 8195/5056*c_1100_2^6 + 18117/10112*c_1100_2^5 - 3273/2528*c_1100_2^4 + 4641/5056*c_1100_2^3 + 1151/5056*c_1100_2^2 + 187/20224*c_1100_2 + 37509/10112, c_0101_2 - 1, c_1001_0 - 1, c_1001_1 - 5/256*c_1100_2^9 - 1/64*c_1100_2^8 + 1/128*c_1100_2^7 - 41/128*c_1100_2^6 + 3/32*c_1100_2^5 - 89/128*c_1100_2^4 - 49/128*c_1100_2^3 - 139/128*c_1100_2^2 - 51/256*c_1100_2 - 49/128, c_1001_10 - c_1100_2 + 1, c_1001_12 - 5/256*c_1100_2^9 + 13/128*c_1100_2^8 + 9/64*c_1100_2^7 - 3/8*c_1100_2^6 + 237/128*c_1100_2^5 - 57/64*c_1100_2^4 + 165/64*c_1100_2^3 + 3/8*c_1100_2^2 + 627/256*c_1100_2 + 229/128, c_1001_8 + 1, c_1100_2^10 - 1/5*c_1100_2^9 - 6/5*c_1100_2^8 + 84/5*c_1100_2^7 - 106/5*c_1100_2^6 + 202/5*c_1100_2^5 - 16*c_1100_2^4 + 36*c_1100_2^3 + 29/5*c_1100_2^2 + 47/5*c_1100_2 + 158/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB