Magma V2.19-8 Tue Aug 20 2013 23:48:51 on localhost [Seed = 1225728977] Type ? for help. Type -D to quit. Loading file "L12n1075__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1075 geometric_solution 10.66833070 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 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 -4 1 3 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 1.222327901201 0.760068735425 0 5 2 6 0132 0132 2103 0132 1 1 1 1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671400171439 0.762046233213 1 0 6 7 2103 0132 2310 0132 0 1 1 1 0 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 4 -4 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 0.687444983273 0.477782154365 8 9 10 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 1 0 -1 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 -0.084340804602 0.974089534954 5 11 0 7 2310 0132 0132 0213 0 1 1 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 0 0 0 0 3 -3 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 -0.452727575300 0.861204439692 9 1 4 10 0213 0132 3201 3120 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 -1 1 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 0.334394683545 0.680404845111 8 2 1 11 2103 3201 0132 2103 1 1 0 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682026193430 2.082094441830 11 10 2 4 0132 0213 0132 0213 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 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 0.500433516452 1.253323359767 3 11 6 9 0132 0213 2103 0213 0 1 1 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 0 0 0 0 -3 4 -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 0.686200915226 0.659471007828 5 3 10 8 0213 0132 0213 0213 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 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.279507653493 0.311246056712 5 9 7 3 3120 0213 0213 0132 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 0 0 0 0 0 0 0 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 0.669766913878 0.722741335603 7 4 8 6 0132 0132 0213 2103 0 1 1 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 0 0 0 0 -3 3 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 0.566753247433 0.562114117480 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_6']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0110_6']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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' : d['1'], 's_0_9' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_0'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_1010_7'], 'c_1100_3' : d['c_1010_7'], 'c_1100_2' : d['c_0011_6'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_1010_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_6']), 'c_1010_8' : negation(d['c_0110_6']), 's_3_1' : negation(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' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : d['c_0101_3'], '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_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_3']), 'c_1100_8' : negation(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_11, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_6, c_1001_0, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 56835072004163/97264692897988*c_1010_7^8 + 3773534633191975/389058771591952*c_1010_7^7 - 11225048871776097/194529385795976*c_1010_7^6 + 5214169217225845/35368979235632*c_1010_7^5 - 1899851809210385/10238388726104*c_1010_7^4 + 50248445169590331/389058771591952*c_1010_7^3 - 8219699013330801/97264692897988*c_1010_7^2 + 14881069940238539/194529385795976*c_1010_7 - 13802409100208061/389058771591952, c_0011_0 - 1, c_0011_11 - 1690019/5637842*c_1010_7^8 + 3571501/805406*c_1010_7^7 - 60015849/2818921*c_1010_7^6 + 91648162/2818921*c_1010_7^5 - 69391843/5637842*c_1010_7^4 - 12694635/5637842*c_1010_7^3 - 49988661/5637842*c_1010_7^2 + 7095799/2818921*c_1010_7 + 2586943/402703, c_0011_3 - 920291/5637842*c_1010_7^8 + 1929583/805406*c_1010_7^7 - 31968446/2818921*c_1010_7^6 + 47220077/2818921*c_1010_7^5 - 35968441/5637842*c_1010_7^4 - 1712033/5637842*c_1010_7^3 - 18874199/5637842*c_1010_7^2 - 292367/2818921*c_1010_7 + 1282807/402703, c_0011_6 - 600870/2818921*c_1010_7^8 + 1287243/402703*c_1010_7^7 - 44364130/2818921*c_1010_7^6 + 72266903/2818921*c_1010_7^5 - 31852918/2818921*c_1010_7^4 - 2546758/2818921*c_1010_7^3 - 22803414/2818921*c_1010_7^2 + 11637894/2818921*c_1010_7 + 2329349/402703, c_0101_0 + 64647/2818921*c_1010_7^8 - 108678/402703*c_1010_7^7 + 2036646/2818921*c_1010_7^6 + 2264100/2818921*c_1010_7^5 + 39336/2818921*c_1010_7^4 - 5201873/2818921*c_1010_7^3 - 5429646/2818921*c_1010_7^2 + 8079168/2818921*c_1010_7 + 141529/402703, c_0101_1 - 623067/5637842*c_1010_7^8 + 656813/402703*c_1010_7^7 - 44093699/5637842*c_1010_7^6 + 34014275/2818921*c_1010_7^5 - 29410121/5637842*c_1010_7^4 - 4189712/2818921*c_1010_7^3 - 6416398/2818921*c_1010_7^2 + 7391015/5637842*c_1010_7 + 1197599/402703, c_0101_3 + 1617181/5637842*c_1010_7^8 - 3466059/805406*c_1010_7^7 + 59935947/2818921*c_1010_7^6 - 99687278/2818921*c_1010_7^5 + 102610503/5637842*c_1010_7^4 - 2274595/5637842*c_1010_7^3 + 53055407/5637842*c_1010_7^2 - 13732395/2818921*c_1010_7 - 2905790/402703, c_0101_7 + 578673/5637842*c_1010_7^8 - 630430/402703*c_1010_7^7 + 44634561/5637842*c_1010_7^6 - 38252628/2818921*c_1010_7^5 + 34295715/5637842*c_1010_7^4 - 1642954/2818921*c_1010_7^3 + 16387016/2818921*c_1010_7^2 - 21522615/5637842*c_1010_7 - 729047/402703, c_0110_6 - 1050381/2818921*c_1010_7^8 + 2216880/402703*c_1010_7^7 - 74448179/2818921*c_1010_7^6 + 114430888/2818921*c_1010_7^5 - 48603955/2818921*c_1010_7^4 - 2836186/2818921*c_1010_7^3 - 32930999/2818921*c_1010_7^2 + 13765813/2818921*c_1010_7 + 3491956/402703, c_1001_0 - 1, c_1001_2 - 1477695/5637842*c_1010_7^8 + 1560067/402703*c_1010_7^7 - 104802659/5637842*c_1010_7^6 + 80416613/2818921*c_1010_7^5 - 67797789/5637842*c_1010_7^4 + 1353526/2818921*c_1010_7^3 - 26514601/2818921*c_1010_7^2 + 20140611/5637842*c_1010_7 + 2294357/402703, c_1010_7^9 - 16*c_1010_7^8 + 89*c_1010_7^7 - 196*c_1010_7^6 + 181*c_1010_7^5 - 58*c_1010_7^4 + 34*c_1010_7^3 - 55*c_1010_7^2 - 6*c_1010_7 + 28 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB