Magma V2.19-8 Tue Aug 20 2013 23:58:46 on localhost [Seed = 627264949] Type ? for help. Type -D to quit. Loading file "L14n40988__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n40988 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 2 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 -1 0 1 5 0 -5 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 0.127537407062 1.183231917850 0 5 7 6 0132 0132 0132 0132 0 2 0 2 0 -1 0 1 1 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 0 0 0 0 0 -5 0 5 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565590047047 0.738257936606 8 0 4 9 0132 0132 2103 0132 2 2 0 2 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.258779462958 1.032662667468 10 9 4 0 0132 0321 2031 0132 2 2 0 2 0 0 0 0 0 0 1 -1 -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 0 0 -5 5 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343855144766 0.440665860123 2 10 0 3 2103 2310 0132 1302 2 2 2 2 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 -1 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 1.002750254734 0.961245229796 8 1 11 8 1023 0132 0132 3012 0 1 2 0 0 1 0 -1 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 0 0 1 -1 5 0 0 -5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463822026698 0.795966492708 10 9 1 10 2103 2103 0132 3201 0 2 2 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 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 0.712216785318 0.896166712565 8 11 11 1 3120 2031 0321 0132 0 2 2 1 0 0 0 0 -1 0 0 1 1 -1 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 5 0 0 -5 -5 4 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463822026698 0.795966492708 2 5 5 7 0132 1023 1230 3120 1 2 2 0 0 -1 0 1 0 0 -1 1 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 1 -1 0 0 5 -5 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463822026698 0.795966492708 11 6 2 3 1302 2103 0132 0321 2 2 0 0 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 -1 1 0 -4 0 0 4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.417861920622 0.864195152332 3 6 6 4 0132 2310 2103 3201 2 2 2 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712216785318 0.896166712565 7 9 7 5 1302 2031 0321 0132 0 1 0 2 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 -1 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582138079378 0.864195152332 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_0'], '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' : negation(d['1']), 's_2_6' : 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' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0011_4']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0011_7']), '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' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_0101_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_7'], '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_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4']})} 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 947591861/2825780356*c_0110_4^6 + 49685084125/45212485696*c_0110_4^5 - 42855082541/45212485696*c_0110_4^4 + 71677609173/45212485696*c_0110_4^3 + 23104086667/22606242848*c_0110_4^2 + 123875385565/45212485696*c_0110_4 + 62823121307/45212485696, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 86706032/100920727*c_0110_4^6 + 118703471/100920727*c_0110_4^5 - 401344683/100920727*c_0110_4^4 + 91900591/100920727*c_0110_4^3 - 558685892/100920727*c_0110_4^2 - 77025953/100920727*c_0110_4 - 559824431/100920727, c_0011_4 + 19621408/100920727*c_0110_4^6 - 4311778/100920727*c_0110_4^5 + 61602737/100920727*c_0110_4^4 + 50985751/100920727*c_0110_4^3 + 81388907/100920727*c_0110_4^2 + 54123039/100920727*c_0110_4 + 78082177/100920727, c_0011_6 - 60475088/100920727*c_0110_4^6 + 68416021/100920727*c_0110_4^5 - 268765777/100920727*c_0110_4^4 + 82703519/100920727*c_0110_4^3 - 395627634/100920727*c_0110_4^2 + 45645370/100920727*c_0110_4 - 379974257/100920727, c_0011_7 - 8954232/100920727*c_0110_4^6 + 72532007/201841454*c_0110_4^5 - 62071767/201841454*c_0110_4^4 + 101940239/201841454*c_0110_4^3 + 34660627/100920727*c_0110_4^2 + 77711239/201841454*c_0110_4 + 65342639/201841454, c_0011_9 + 742887120/100920727*c_0110_4^6 - 776807701/100920727*c_0110_4^5 + 3392466073/100920727*c_0110_4^4 - 554445085/100920727*c_0110_4^3 + 5160603078/100920727*c_0110_4^2 + 769214555/100920727*c_0110_4 + 5139581124/100920727, c_0101_0 + 86254880/100920727*c_0110_4^6 - 89372050/100920727*c_0110_4^5 + 414514693/100920727*c_0110_4^4 - 83171650/100920727*c_0110_4^3 + 705127850/100920727*c_0110_4^2 + 68517303/100920727*c_0110_4 + 752070939/100920727, c_0101_1 - 1, c_0101_3 + 11002416/100920727*c_0110_4^6 - 2182075/100920727*c_0110_4^5 + 37715195/100920727*c_0110_4^4 + 45497796/100920727*c_0110_4^3 + 76885550/100920727*c_0110_4^2 + 90917116/100920727*c_0110_4 + 137595324/100920727, c_0101_5 - 1, c_0110_4^7 - 9/16*c_0110_4^6 + 65/16*c_0110_4^5 + 23/16*c_0110_4^4 + 53/8*c_0110_4^3 + 71/16*c_0110_4^2 + 121/16*c_0110_4 + 7/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB