Magma V2.19-8 Tue Aug 20 2013 23:57:11 on localhost [Seed = 2463431291] Type ? for help. Type -D to quit. Loading file "L14n3064__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n3064 geometric_solution 9.63908087 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 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 0.949874206643 0.655947140975 0 1 1 0 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.654621623042 0.375986514629 4 0 6 5 0132 0132 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973448362219 0.741831731111 6 5 7 0 1023 0132 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973448362219 0.741831731111 2 7 8 9 0132 3201 0132 0132 1 0 1 1 0 0 -1 1 -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 -1 15 -14 1 0 -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 0.035716443285 0.624373311107 10 3 2 9 0132 0132 0132 2103 1 0 1 1 0 0 0 0 -1 0 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 0 1 -1 0 0 0 0 0 -14 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510763888463 0.263762614165 9 3 11 2 0132 1023 0132 0132 1 0 1 1 0 0 0 0 0 0 -1 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 0 0 0 0 1 -1 0 0 0 0 1 14 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823575037992 0.334487049508 11 10 4 3 1023 0132 2310 0132 1 1 1 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 1 -1 0 0 0 0 15 -15 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.035716443285 0.624373311107 11 9 10 4 0132 0132 3120 0132 1 0 1 1 0 0 -1 1 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 0 15 -15 -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 0.454340542943 0.798191078521 6 8 4 5 0132 0132 0132 2103 1 0 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 0 0 0 0 0 0 0 0 0 0 0 14 -14 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 1.461384642554 0.946246113726 5 7 8 11 0132 0132 3120 0132 1 0 1 1 0 0 0 0 1 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 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454340542943 0.798191078521 8 7 10 6 0132 1023 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 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 0 0 1 0 0 -1 0 -15 0 15 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.461384642554 0.946246113726 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : d['1'], 's_2_7' : 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' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(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' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0101_7, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1282870567801/30891305984*c_1001_10^7 - 936362631/51994624*c_1001_10^6 - 21785132786145/123565223936*c_1001\ _10^5 + 96532446773701/61782611968*c_1001_10^4 - 23274804928497/4413043712*c_1001_10^3 + 118762974608489/15445652992*c_1001_10^2 - 38759162264329/7722826496*c_1001_10 + 4608957467031/3861413248, c_0011_0 - 1, c_0011_10 + 9111/4616*c_1001_10^7 + 28729/36928*c_1001_10^6 + 151603/18464*c_1001_10^5 - 43158/577*c_1001_10^4 + 291871/1154*c_1001_10^3 - 214029/577*c_1001_10^2 + 278281/1154*c_1001_10 - 32498/577, c_0101_0 + c_1001_10^7 + 1/8*c_1001_10^6 + 127/32*c_1001_10^5 - 39*c_1001_10^4 + 138*c_1001_10^3 - 219*c_1001_10^2 + 160*c_1001_10 - 43, c_0101_1 - 1/8*c_1001_10^7 + 1/64*c_1001_10^6 - 1/2*c_1001_10^5 + 5*c_1001_10^4 - 37/2*c_1001_10^3 + 32*c_1001_10^2 - 28*c_1001_10 + 10, c_0101_10 + 26159/50776*c_1001_10^7 - 383/406208*c_1001_10^6 + 388997/203104*c_1001_10^5 - 1042423/50776*c_1001_10^4 + 463609/6347*c_1001_10^3 - 1494013/12694*c_1001_10^2 + 1090391/12694*c_1001_10 - 144648/6347, c_0101_11 + 55653/25388*c_1001_10^7 + 216059/203104*c_1001_10^6 + 480257/50776*c_1001_10^5 - 8314401/101552*c_1001_10^4 + 3486927/12694*c_1001_10^3 - 10026355/25388*c_1001_10^2 + 3233479/12694*c_1001_10 - 379803/6347, c_0101_2 - 1, c_0101_3 - 8147/2308*c_1001_10^7 - 32381/18464*c_1001_10^6 - 140963/9232*c_1001_10^5 + 1215051/9232*c_1001_10^4 - 1017697/2308*c_1001_10^3 + 1456879/2308*c_1001_10^2 - 465439/1154*c_1001_10 + 54188/577, c_0101_6 - 26159/50776*c_1001_10^7 + 383/406208*c_1001_10^6 - 388997/203104*c_1001_10^5 + 1042423/50776*c_1001_10^4 - 463609/6347*c_1001_10^3 + 1494013/12694*c_1001_10^2 - 1090391/12694*c_1001_10 + 144648/6347, c_0101_7 + 805/1154*c_1001_10^7 + 4267/9232*c_1001_10^6 + 14351/4616*c_1001_10^5 - 235711/9232*c_1001_10^4 + 47800/577*c_1001_10^3 - 64548/577*c_1001_10^2 + 37095/577*c_1001_10 - 7296/577, c_1001_0 + 13/4*c_1001_10^7 + 35/32*c_1001_10^6 + 213/16*c_1001_10^5 - 1985/16*c_1001_10^4 + 423*c_1001_10^3 - 630*c_1001_10^2 + 418*c_1001_10 - 100, c_1001_10^8 - 1/8*c_1001_10^7 + 4*c_1001_10^6 - 40*c_1001_10^5 + 148*c_1001_10^4 - 256*c_1001_10^3 + 224*c_1001_10^2 - 96*c_1001_10 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB