Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 43.11 |
Dual form | 43.6.e.a.4.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 6.45965 | + | 8.10014i | 1.14192 | + | 1.43192i | 0.885066 | + | 0.465465i | \(0.154113\pi\) |
0.256849 | + | 0.966452i | \(0.417316\pi\) | |||||||
\(3\) | −16.9351 | + | 21.2360i | −1.08639 | + | 1.36229i | −0.159396 | + | 0.987215i | \(0.550955\pi\) |
−0.926994 | + | 0.375075i | \(0.877617\pi\) | |||||||
\(4\) | −16.7646 | + | 73.4505i | −0.523893 | + | 2.29533i | ||||
\(5\) | 36.1651 | − | 17.4162i | 0.646941 | − | 0.311550i | −0.0814855 | − | 0.996675i | \(-0.525966\pi\) |
0.728426 | + | 0.685124i | \(0.240252\pi\) | |||||||
\(6\) | −281.410 | −3.19125 | ||||||||
\(7\) | 237.288 | 1.83033 | 0.915167 | − | 0.403074i | \(-0.132058\pi\) | ||||
0.915167 | + | 0.403074i | \(0.132058\pi\) | |||||||
\(8\) | −404.550 | + | 194.821i | −2.23484 | + | 1.07624i | ||||
\(9\) | −110.096 | − | 482.362i | −0.453070 | − | 1.98503i | ||||
\(10\) | 374.687 | + | 180.440i | 1.18487 | + | 0.570601i | ||||
\(11\) | −32.8986 | − | 144.138i | −0.0819776 | − | 0.359167i | 0.917257 | − | 0.398297i | \(-0.130399\pi\) |
−0.999234 | + | 0.0391295i | \(0.987542\pi\) | |||||||
\(12\) | −1275.88 | − | 1599.91i | −2.55775 | − | 3.20732i | ||||
\(13\) | −470.081 | + | 226.379i | −0.771461 | + | 0.371516i | −0.777839 | − | 0.628464i | \(-0.783684\pi\) |
0.00637794 | + | 0.999980i | \(0.497970\pi\) | |||||||
\(14\) | 1532.80 | + | 1922.07i | 2.09009 | + | 2.62089i | ||||
\(15\) | −242.611 | + | 1062.95i | −0.278408 | + | 1.21979i | ||||
\(16\) | −2019.22 | − | 972.404i | −1.97189 | − | 0.949613i | ||||
\(17\) | 1136.18 | + | 547.155i | 0.953509 | + | 0.459186i | 0.844915 | − | 0.534900i | \(-0.179651\pi\) |
0.108594 | + | 0.994086i | \(0.465365\pi\) | |||||||
\(18\) | 3196.02 | − | 4007.68i | 2.32503 | − | 2.91549i | ||||
\(19\) | 347.967 | − | 1524.54i | 0.221133 | − | 0.968848i | −0.735494 | − | 0.677532i | \(-0.763050\pi\) |
0.956627 | − | 0.291316i | \(-0.0940932\pi\) | |||||||
\(20\) | 672.934 | + | 2948.32i | 0.376182 | + | 1.64816i | ||||
\(21\) | −4018.50 | + | 5039.05i | −1.98846 | + | 2.49345i | ||||
\(22\) | 955.026 | − | 1197.56i | 0.420686 | − | 0.527524i | ||||
\(23\) | 280.952 | + | 1230.93i | 0.110742 | + | 0.485192i | 0.999633 | + | 0.0270743i | \(0.00861907\pi\) |
−0.888891 | + | 0.458118i | \(0.848524\pi\) | |||||||
\(24\) | 2713.89 | − | 11890.3i | 0.961755 | − | 4.21373i | ||||
\(25\) | −943.816 | + | 1183.51i | −0.302021 | + | 0.378722i | ||||
\(26\) | −4870.26 | − | 2345.39i | −1.41292 | − | 0.680428i | ||||
\(27\) | 6161.24 | + | 2967.09i | 1.62652 | + | 0.783289i | ||||
\(28\) | −3978.03 | + | 17428.9i | −0.958900 | + | 4.20122i | ||||
\(29\) | −2611.20 | − | 3274.34i | −0.576560 | − | 0.722983i | 0.404962 | − | 0.914334i | \(-0.367285\pi\) |
−0.981522 | + | 0.191350i | \(0.938713\pi\) | |||||||
\(30\) | −10177.2 | + | 4901.08i | −2.06455 | + | 0.994235i | ||||
\(31\) | −2747.79 | − | 3445.62i | −0.513546 | − | 0.643966i | 0.455679 | − | 0.890144i | \(-0.349397\pi\) |
−0.969225 | + | 0.246178i | \(0.920825\pi\) | |||||||
\(32\) | −1969.53 | − | 8629.06i | −0.340006 | − | 1.48967i | ||||
\(33\) | 3618.06 | + | 1742.36i | 0.578350 | + | 0.278519i | ||||
\(34\) | 2907.29 | + | 12737.7i | 0.431311 | + | 1.88970i | ||||
\(35\) | 8581.54 | − | 4132.65i | 1.18412 | − | 0.570241i | ||||
\(36\) | 37275.4 | 4.79365 | ||||||||
\(37\) | 4495.14 | 0.539807 | 0.269903 | − | 0.962887i | \(-0.413008\pi\) | ||||
0.269903 | + | 0.962887i | \(0.413008\pi\) | |||||||
\(38\) | 14596.8 | − | 7029.43i | 1.63983 | − | 0.789698i | ||||
\(39\) | 3153.50 | − | 13816.4i | 0.331995 | − | 1.45457i | ||||
\(40\) | −11237.5 | + | 14091.4i | −1.11051 | + | 1.39253i | ||||
\(41\) | −122.765 | − | 153.943i | −0.0114055 | − | 0.0143021i | 0.776096 | − | 0.630615i | \(-0.217197\pi\) |
−0.787502 | + | 0.616313i | \(0.788626\pi\) | |||||||
\(42\) | −66775.1 | −5.84106 | ||||||||
\(43\) | 11145.6 | − | 4773.28i | 0.919246 | − | 0.393683i | ||||
\(44\) | 11138.5 | 0.867354 | ||||||||
\(45\) | −12382.5 | − | 15527.2i | −0.911545 | − | 1.14304i | ||||
\(46\) | −8155.86 | + | 10227.1i | −0.568297 | + | 0.712621i | ||||
\(47\) | −652.238 | + | 2857.64i | −0.0430687 | + | 0.188696i | −0.991886 | − | 0.127128i | \(-0.959424\pi\) |
0.948818 | + | 0.315825i | \(0.102281\pi\) | |||||||
\(48\) | 54845.7 | − | 26412.3i | 3.43589 | − | 1.65464i | ||||
\(49\) | 39498.5 | 2.35012 | ||||||||
\(50\) | −15683.3 | −0.887182 | ||||||||
\(51\) | −30860.8 | + | 14861.8i | −1.66143 | + | 0.800101i | ||||
\(52\) | −8746.93 | − | 38322.8i | −0.448588 | − | 1.96539i | ||||
\(53\) | 10400.4 | + | 5008.55i | 0.508579 | + | 0.244919i | 0.670533 | − | 0.741880i | \(-0.266065\pi\) |
−0.161954 | + | 0.986798i | \(0.551780\pi\) | |||||||
\(54\) | 15765.5 | + | 69073.3i | 0.735739 | + | 3.22348i | ||||
\(55\) | −3700.11 | − | 4639.80i | −0.164933 | − | 0.206820i | ||||
\(56\) | −95994.8 | + | 46228.7i | −4.09051 | + | 1.96989i | ||||
\(57\) | 26482.3 | + | 33207.8i | 1.07962 | + | 1.35379i | ||||
\(58\) | 9655.18 | − | 42302.1i | 0.376869 | − | 1.65117i | ||||
\(59\) | −15809.9 | − | 7613.64i | −0.591288 | − | 0.284749i | 0.114215 | − | 0.993456i | \(-0.463565\pi\) |
−0.705503 | + | 0.708707i | \(0.749279\pi\) | |||||||
\(60\) | −74006.7 | − | 35639.8i | −2.65395 | − | 1.27808i | ||||
\(61\) | −26658.2 | + | 33428.3i | −0.917290 | + | 1.15024i | 0.0709726 | + | 0.997478i | \(0.477390\pi\) |
−0.988262 | + | 0.152767i | \(0.951182\pi\) | |||||||
\(62\) | 10160.3 | − | 44515.0i | 0.335680 | − | 1.47071i | ||||
\(63\) | −26124.4 | − | 114459.i | −0.829269 | − | 3.63327i | ||||
\(64\) | 12459.2 | − | 15623.4i | 0.380226 | − | 0.476788i | ||||
\(65\) | −13057.8 | + | 16374.0i | −0.383344 | + | 0.480698i | ||||
\(66\) | 9257.98 | + | 40561.9i | 0.261611 | + | 1.14619i | ||||
\(67\) | 5803.74 | − | 25427.8i | 0.157950 | − | 0.692026i | −0.832485 | − | 0.554048i | \(-0.813082\pi\) |
0.990435 | − | 0.137978i | \(-0.0440604\pi\) | |||||||
\(68\) | −59236.4 | + | 74280.1i | −1.55352 | + | 1.94805i | ||||
\(69\) | −30898.0 | − | 14879.7i | −0.781281 | − | 0.376245i | ||||
\(70\) | 88908.8 | + | 42816.2i | 2.16870 | + | 1.04439i | ||||
\(71\) | 8667.03 | − | 37972.7i | 0.204044 | − | 0.893976i | −0.764399 | − | 0.644743i | \(-0.776964\pi\) |
0.968444 | − | 0.249233i | \(-0.0801785\pi\) | |||||||
\(72\) | 138514. | + | 173690.i | 3.14892 | + | 3.94861i | ||||
\(73\) | 33372.0 | − | 16071.1i | 0.732952 | − | 0.352971i | −0.0298924 | − | 0.999553i | \(-0.509516\pi\) |
0.762845 | + | 0.646582i | \(0.223802\pi\) | |||||||
\(74\) | 29037.0 | + | 36411.2i | 0.616414 | + | 0.772959i | ||||
\(75\) | −9149.31 | − | 40085.7i | −0.187817 | − | 0.822881i | ||||
\(76\) | 106145. | + | 51116.7i | 2.10797 | + | 1.01515i | ||||
\(77\) | −7806.43 | − | 34202.2i | −0.150046 | − | 0.657397i | ||||
\(78\) | 132285. | − | 63705.2i | 2.46193 | − | 1.18560i | ||||
\(79\) | 6362.62 | 0.114701 | 0.0573506 | − | 0.998354i | \(-0.481735\pi\) | ||||
0.0573506 | + | 0.998354i | \(0.481735\pi\) | |||||||
\(80\) | −89960.7 | −1.57155 | ||||||||
\(81\) | −59028.6 | + | 28426.7i | −0.999655 | + | 0.481409i | ||||
\(82\) | 453.937 | − | 1988.83i | 0.00745523 | − | 0.0326635i | ||||
\(83\) | −47224.4 | + | 59217.5i | −0.752439 | + | 0.943528i | −0.999677 | − | 0.0254266i | \(-0.991906\pi\) |
0.247238 | + | 0.968955i | \(0.420477\pi\) | |||||||
\(84\) | −302752. | − | 379639.i | −4.68154 | − | 5.87046i | ||||
\(85\) | 50619.4 | 0.759923 | ||||||||
\(86\) | 110661. | + | 59447.1i | 1.61342 | + | 0.866732i | ||||
\(87\) | 113755. | 1.61128 | ||||||||
\(88\) | 41390.2 | + | 51901.7i | 0.569759 | + | 0.714455i | ||||
\(89\) | −3884.89 | + | 4871.49i | −0.0519880 | + | 0.0651909i | −0.807146 | − | 0.590352i | \(-0.798989\pi\) |
0.755158 | + | 0.655543i | \(0.227560\pi\) | |||||||
\(90\) | 45785.8 | − | 200601.i | 0.595833 | − | 2.61051i | ||||
\(91\) | −111544. | + | 53717.0i | −1.41203 | + | 0.679999i | ||||
\(92\) | −95122.4 | −1.17169 | ||||||||
\(93\) | 119705. | 1.43518 | ||||||||
\(94\) | −27360.5 | + | 13176.1i | −0.319378 | + | 0.153804i | ||||
\(95\) | −13967.5 | − | 61195.5i | −0.158785 | − | 0.695681i | ||||
\(96\) | 216601. | + | 104310.i | 2.39874 | + | 1.15517i | ||||
\(97\) | 25631.5 | + | 112299.i | 0.276595 | + | 1.21184i | 0.902067 | + | 0.431596i | \(0.142049\pi\) |
−0.625472 | + | 0.780247i | \(0.715094\pi\) | |||||||
\(98\) | 255147. | + | 319944.i | 2.68364 | + | 3.36518i | ||||
\(99\) | −65904.7 | + | 31738.0i | −0.675816 | + | 0.325456i | ||||
\(100\) | −71106.5 | − | 89164.7i | −0.711065 | − | 0.891647i | ||||
\(101\) | −18352.6 | + | 80408.1i | −0.179017 | + | 0.784326i | 0.803068 | + | 0.595888i | \(0.203200\pi\) |
−0.982085 | + | 0.188438i | \(0.939658\pi\) | |||||||
\(102\) | −319732. | − | 153975.i | −3.04289 | − | 1.46538i | ||||
\(103\) | 33434.1 | + | 16101.0i | 0.310525 | + | 0.149541i | 0.582655 | − | 0.812720i | \(-0.302014\pi\) |
−0.272130 | + | 0.962260i | \(0.587728\pi\) | |||||||
\(104\) | 146068. | − | 183163.i | 1.32425 | − | 1.66056i | ||||
\(105\) | −57568.6 | + | 252225.i | −0.509580 | + | 2.23262i | ||||
\(106\) | 26612.7 | + | 116598.i | 0.230051 | + | 1.00792i | ||||
\(107\) | 121690. | − | 152594.i | 1.02753 | − | 1.28848i | 0.0708023 | − | 0.997490i | \(-0.477444\pi\) |
0.956726 | − | 0.290990i | \(-0.0939845\pi\) | |||||||
\(108\) | −321225. | + | 402803.i | −2.65003 | + | 3.32303i | ||||
\(109\) | −49006.6 | − | 214712.i | −0.395083 | − | 1.73097i | −0.646337 | − | 0.763052i | \(-0.723700\pi\) |
0.251254 | − | 0.967921i | \(-0.419157\pi\) | |||||||
\(110\) | 13681.6 | − | 59942.9i | 0.107809 | − | 0.472342i | ||||
\(111\) | −76125.8 | + | 95458.7i | −0.586441 | + | 0.735374i | ||||
\(112\) | −479136. | − | 230740.i | −3.60922 | − | 1.73811i | ||||
\(113\) | −173730. | − | 83664.2i | −1.27991 | − | 0.616373i | −0.334544 | − | 0.942380i | \(-0.608582\pi\) |
−0.945367 | + | 0.326008i | \(0.894297\pi\) | |||||||
\(114\) | −97921.3 | + | 429021.i | −0.705692 | + | 3.09184i | ||||
\(115\) | 31598.7 | + | 39623.6i | 0.222805 | + | 0.279389i | ||||
\(116\) | 284277. | − | 136901.i | 1.96154 | − | 0.944627i | ||||
\(117\) | 160951. | + | 201826.i | 1.08700 | + | 1.36305i | ||||
\(118\) | −40454.7 | − | 177244.i | −0.267463 | − | 1.17183i | ||||
\(119\) | 269602. | + | 129833.i | 1.74524 | + | 0.840463i | ||||
\(120\) | −108936. | − | 477281.i | −0.690588 | − | 3.02567i | ||||
\(121\) | 125408. | − | 60393.5i | 0.778688 | − | 0.374996i | ||||
\(122\) | −442977. | −2.69452 | ||||||||
\(123\) | 5348.17 | 0.0318744 | ||||||||
\(124\) | 299148. | − | 144062.i | 1.74716 | − | 0.841386i | ||||
\(125\) | −41433.6 | + | 181533.i | −0.237180 | + | 1.03915i | ||||
\(126\) | 758377. | − | 950974.i | 4.25558 | − | 5.33633i | ||||
\(127\) | 69636.5 | + | 87321.4i | 0.383114 | + | 0.480409i | 0.935574 | − | 0.353130i | \(-0.114883\pi\) |
−0.552461 | + | 0.833539i | \(0.686311\pi\) | |||||||
\(128\) | −76197.1 | −0.411068 | ||||||||
\(129\) | −87386.7 | + | 317524.i | −0.462350 | + | 1.67997i | ||||
\(130\) | −216981. | −1.12606 | ||||||||
\(131\) | −177904. | − | 223084.i | −0.905746 | − | 1.13577i | −0.990244 | − | 0.139346i | \(-0.955500\pi\) |
0.0844981 | − | 0.996424i | \(-0.473071\pi\) | |||||||
\(132\) | −188633. | + | 236538.i | −0.942285 | + | 1.18159i | ||||
\(133\) | 82568.4 | − | 361756.i | 0.404748 | − | 1.77332i | ||||
\(134\) | 243459. | − | 117244.i | 1.17129 | − | 0.564063i | ||||
\(135\) | 274497. | 1.29629 | ||||||||
\(136\) | −566239. | −2.62514 | ||||||||
\(137\) | 56945.6 | − | 27423.5i | 0.259214 | − | 0.124831i | −0.299764 | − | 0.954013i | \(-0.596908\pi\) |
0.558978 | + | 0.829183i | \(0.311194\pi\) | |||||||
\(138\) | −79062.5 | − | 346396.i | −0.353405 | − | 1.54837i | ||||
\(139\) | −216544. | − | 104282.i | −0.950626 | − | 0.457797i | −0.106720 | − | 0.994289i | \(-0.534035\pi\) |
−0.843906 | + | 0.536492i | \(0.819749\pi\) | |||||||
\(140\) | 159679. | + | 699600.i | 0.688538 | + | 3.01668i | ||||
\(141\) | −49639.1 | − | 62245.5i | −0.210269 | − | 0.263670i | ||||
\(142\) | 363571. | − | 175086.i | 1.51310 | − | 0.728671i | ||||
\(143\) | 48094.8 | + | 60309.0i | 0.196679 | + | 0.246628i | ||||
\(144\) | −246743. | + | 1.08105e6i | −0.991605 | + | 4.34450i | ||||
\(145\) | −151461. | − | 72939.6i | −0.598246 | − | 0.288100i | ||||
\(146\) | 345750. | + | 166504.i | 1.34239 | + | 0.646463i | ||||
\(147\) | −668914. | + | 838791.i | −2.55315 | + | 3.20155i | ||||
\(148\) | −75359.1 | + | 330170.i | −0.282801 | + | 1.23903i | ||||
\(149\) | 16581.1 | + | 72646.5i | 0.0611853 | + | 0.268070i | 0.996263 | − | 0.0863727i | \(-0.0275276\pi\) |
−0.935078 | + | 0.354443i | \(0.884670\pi\) | |||||||
\(150\) | 265599. | − | 333051.i | 0.963825 | − | 1.20860i | ||||
\(151\) | 150267. | − | 188429.i | 0.536317 | − | 0.672521i | −0.437667 | − | 0.899137i | \(-0.644195\pi\) |
0.973984 | + | 0.226617i | \(0.0727664\pi\) | |||||||
\(152\) | 156243. | + | 684545.i | 0.548519 | + | 2.40322i | ||||
\(153\) | 138838. | − | 608290.i | 0.479491 | − | 2.10079i | ||||
\(154\) | 226616. | − | 284168.i | 0.769997 | − | 0.965545i | ||||
\(155\) | −159384. | − | 76755.1i | −0.532862 | − | 0.256613i | ||||
\(156\) | 961953. | + | 463252.i | 3.16477 | + | 1.52407i | ||||
\(157\) | 89862.0 | − | 393711.i | 0.290956 | − | 1.27476i | −0.592243 | − | 0.805760i | \(-0.701757\pi\) |
0.883198 | − | 0.469000i | \(-0.155386\pi\) | |||||||
\(158\) | 41100.3 | + | 51538.1i | 0.130979 | + | 0.164243i | ||||
\(159\) | −282493. | + | 136041.i | −0.886166 | + | 0.426755i | ||||
\(160\) | −221513. | − | 277769.i | −0.684069 | − | 0.857796i | ||||
\(161\) | 66666.4 | + | 292085.i | 0.202695 | + | 0.888064i | ||||
\(162\) | −611565. | − | 294514.i | −1.83086 | − | 0.881695i | ||||
\(163\) | 52217.5 | + | 228780.i | 0.153939 | + | 0.674449i | 0.991717 | + | 0.128439i | \(0.0409967\pi\) |
−0.837779 | + | 0.546010i | \(0.816146\pi\) | |||||||
\(164\) | 13365.3 | − | 6436.37i | 0.0388032 | − | 0.0186866i | ||||
\(165\) | 161193. | 0.460931 | ||||||||
\(166\) | −784723. | −2.21027 | ||||||||
\(167\) | −99121.2 | + | 47734.2i | −0.275027 | + | 0.132446i | −0.566314 | − | 0.824190i | \(-0.691631\pi\) |
0.291287 | + | 0.956636i | \(0.405917\pi\) | |||||||
\(168\) | 643974. | − | 2.82143e6i | 1.76033 | − | 7.71253i | ||||
\(169\) | −61769.0 | + | 77455.9i | −0.166362 | + | 0.208611i | ||||
\(170\) | 326984. | + | 410024.i | 0.867768 | + | 1.08815i | ||||
\(171\) | −773691. | −2.02338 | ||||||||
\(172\) | 163749. | + | 898671.i | 0.422043 | + | 2.31622i | ||||
\(173\) | −613430. | −1.55829 | −0.779147 | − | 0.626841i | \(-0.784348\pi\) | ||||
−0.779147 | + | 0.626841i | \(0.784348\pi\) | |||||||
\(174\) | 734816. | + | 921430.i | 1.83995 | + | 2.30722i | ||||
\(175\) | −223956. | + | 280832.i | −0.552800 | + | 0.693189i | ||||
\(176\) | −73731.0 | + | 323037.i | −0.179419 | + | 0.786087i | ||||
\(177\) | 429426. | − | 206801.i | 1.03028 | − | 0.496157i | ||||
\(178\) | −64554.8 | −0.152714 | ||||||||
\(179\) | 240572. | 0.561193 | 0.280597 | − | 0.959826i | \(-0.409468\pi\) | ||||
0.280597 | + | 0.959826i | \(0.409468\pi\) | |||||||
\(180\) | 1.34807e6 | − | 649196.i | 3.10121 | − | 1.49346i | ||||
\(181\) | −56106.5 | − | 245818.i | −0.127296 | − | 0.557722i | −0.997844 | − | 0.0656372i | \(-0.979092\pi\) |
0.870547 | − | 0.492085i | \(-0.163765\pi\) | |||||||
\(182\) | −1.15565e6 | − | 556533.i | −2.58612 | − | 1.24541i | ||||
\(183\) | −258424. | − | 1.13223e6i | −0.570433 | − | 2.49923i | ||||
\(184\) | −353470. | − | 443237.i | −0.769676 | − | 0.965143i | ||||
\(185\) | 162567. | − | 78288.1i | 0.349223 | − | 0.168177i | ||||
\(186\) | 773255. | + | 969631.i | 1.63885 | + | 2.05506i | ||||
\(187\) | 41487.2 | − | 181767.i | 0.0867582 | − | 0.380112i | ||||
\(188\) | −198961. | − | 95814.4i | −0.410556 | − | 0.197713i | ||||
\(189\) | 1.46199e6 | + | 704056.i | 2.97707 | + | 1.43368i | ||||
\(190\) | 405467. | − | 508440.i | 0.814839 | − | 1.02178i | ||||
\(191\) | 5586.35 | − | 24475.4i | 0.0110801 | − | 0.0485452i | −0.969086 | − | 0.246725i | \(-0.920646\pi\) |
0.980166 | + | 0.198179i | \(0.0635028\pi\) | |||||||
\(192\) | 120779. | + | 529169.i | 0.236450 | + | 1.03596i | ||||
\(193\) | 64840.6 | − | 81307.5i | 0.125301 | − | 0.157122i | −0.715224 | − | 0.698895i | \(-0.753675\pi\) |
0.840525 | + | 0.541773i | \(0.182247\pi\) | |||||||
\(194\) | −744067. | + | 933030.i | −1.41941 | + | 1.77988i | ||||
\(195\) | −126582. | − | 554593.i | −0.238389 | − | 1.04445i | ||||
\(196\) | −662177. | + | 2.90119e6i | −1.23121 | + | 5.39431i | ||||
\(197\) | −143253. | + | 179633.i | −0.262989 | + | 0.329777i | −0.895740 | − | 0.444577i | \(-0.853354\pi\) |
0.632752 | + | 0.774355i | \(0.281925\pi\) | |||||||
\(198\) | −682804. | − | 328821.i | −1.23775 | − | 0.596069i | ||||
\(199\) | 465476. | + | 224162.i | 0.833230 | + | 0.401262i | 0.801326 | − | 0.598229i | \(-0.204128\pi\) |
0.0319044 | + | 0.999491i | \(0.489843\pi\) | |||||||
\(200\) | 151249. | − | 662663.i | 0.267372 | − | 1.17143i | ||||
\(201\) | 441699. | + | 553872.i | 0.771145 | + | 0.966985i | ||||
\(202\) | −769869. | + | 370749.i | −1.32751 | + | 0.639296i | ||||
\(203\) | −619605. | − | 776960.i | −1.05530 | − | 1.32330i | ||||
\(204\) | −574235. | − | 2.51589e6i | −0.966083 | − | 4.23269i | ||||
\(205\) | −7120.90 | − | 3429.25i | −0.0118345 | − | 0.00569920i | ||||
\(206\) | 85551.9 | + | 374828.i | 0.140463 | + | 0.615408i | ||||
\(207\) | 562822. | − | 271041.i | 0.912946 | − | 0.439652i | ||||
\(208\) | 1.16933e6 | 1.87403 | ||||||||
\(209\) | −231192. | −0.366107 | ||||||||
\(210\) | −2.41493e6 | + | 1.16297e6i | −3.77882 | + | 1.81978i | ||||
\(211\) | 270646. | − | 1.18578e6i | 0.418501 | − | 1.83357i | −0.122396 | − | 0.992481i | \(-0.539058\pi\) |
0.540896 | − | 0.841089i | \(-0.318085\pi\) | |||||||
\(212\) | −542238. | + | 679945.i | −0.828610 | + | 1.03904i | ||||
\(213\) | 659612. | + | 827127.i | 0.996183 | + | 1.24917i | ||||
\(214\) | 2.02210e6 | 3.01835 | ||||||||
\(215\) | 319949. | − | 366740.i | 0.472046 | − | 0.541081i | ||||
\(216\) | −3.07058e6 | −4.47802 | ||||||||
\(217\) | −652017. | − | 817604.i | −0.939961 | − | 1.17867i | ||||
\(218\) | 1.42263e6 | − | 1.78393e6i | 2.02746 | − | 2.54235i | ||||
\(219\) | −223874. | + | 980856.i | −0.315423 | + | 1.38196i | ||||
\(220\) | 402826. | − | 193991.i | 0.561127 | − | 0.270224i | ||||
\(221\) | −657961. | −0.906190 | ||||||||
\(222\) | −1.26497e6 | −1.72266 | ||||||||
\(223\) | −426857. | + | 205563.i | −0.574804 | + | 0.276811i | −0.698619 | − | 0.715494i | \(-0.746202\pi\) |
0.123814 | + | 0.992305i | \(0.460487\pi\) | |||||||
\(224\) | −467345. | − | 2.04757e6i | −0.622325 | − | 2.72659i | ||||
\(225\) | 674789. | + | 324961.i | 0.888612 | + | 0.427933i | ||||
\(226\) | −444546. | − | 1.94768e6i | −0.578956 | − | 2.53657i | ||||
\(227\) | 62049.8 | + | 77808.0i | 0.0799238 | + | 0.100221i | 0.820186 | − | 0.572097i | \(-0.193870\pi\) |
−0.740262 | + | 0.672318i | \(0.765299\pi\) | |||||||
\(228\) | −2.88309e6 | + | 1.38842e6i | −3.67300 | + | 1.76883i | ||||
\(229\) | 643333. | + | 806714.i | 0.810676 | + | 1.01656i | 0.999404 | + | 0.0345260i | \(0.0109922\pi\) |
−0.188728 | + | 0.982029i | \(0.560436\pi\) | |||||||
\(230\) | −116840. | + | 511909.i | −0.145637 | + | 0.638077i | ||||
\(231\) | 858521. | + | 413442.i | 1.05857 | + | 0.509782i | ||||
\(232\) | 1.69427e6 | + | 815917.i | 2.06663 | + | 0.995235i | ||||
\(233\) | −439940. | + | 551667.i | −0.530889 | + | 0.665714i | −0.972881 | − | 0.231305i | \(-0.925700\pi\) |
0.441992 | + | 0.897019i | \(0.354272\pi\) | |||||||
\(234\) | −595132. | + | 2.60745e6i | −0.710516 | + | 3.11297i | ||||
\(235\) | 26181.0 | + | 114706.i | 0.0309255 | + | 0.135493i | ||||
\(236\) | 824272. | − | 1.03360e6i | 0.963364 | − | 1.20802i | ||||
\(237\) | −107752. | + | 135117.i | −0.124610 | + | 0.156256i | ||||
\(238\) | 689864. | + | 3.02249e6i | 0.789443 | + | 3.45878i | ||||
\(239\) | 162977. | − | 714050.i | 0.184558 | − | 0.808600i | −0.794866 | − | 0.606785i | \(-0.792459\pi\) |
0.979424 | − | 0.201815i | \(-0.0646840\pi\) | |||||||
\(240\) | 1.52350e6 | − | 1.91041e6i | 1.70732 | − | 2.14091i | ||||
\(241\) | 580384. | + | 279498.i | 0.643685 | + | 0.309982i | 0.727099 | − | 0.686533i | \(-0.240868\pi\) |
−0.0834142 | + | 0.996515i | \(0.526582\pi\) | |||||||
\(242\) | 1.29929e6 | + | 625706.i | 1.42616 | + | 0.686802i | ||||
\(243\) | 26216.3 | − | 114861.i | 0.0284810 | − | 0.124784i | ||||
\(244\) | −2.00841e6 | − | 2.51847e6i | −2.15963 | − | 2.70809i | ||||
\(245\) | 1.42847e6 | − | 687914.i | 1.52039 | − | 0.732182i | ||||
\(246\) | 34547.3 | + | 43320.9i | 0.0363979 | + | 0.0456415i | ||||
\(247\) | 181552. | + | 795431.i | 0.189347 | + | 0.829583i | ||||
\(248\) | 1.78290e6 | + | 858598.i | 1.84076 | + | 0.886463i | ||||
\(249\) | −457791. | − | 2.00571e6i | −0.467917 | − | 2.05008i | ||||
\(250\) | −1.73809e6 | + | 837018.i | −1.75882 | + | 0.847003i | ||||
\(251\) | −1.10497e6 | −1.10705 | −0.553523 | − | 0.832834i | \(-0.686717\pi\) | ||||
−0.553523 | + | 0.832834i | \(0.686717\pi\) | |||||||
\(252\) | 8.84501e6 | 8.77398 | ||||||||
\(253\) | 168181. | − | 80991.7i | 0.165187 | − | 0.0795498i | ||||
\(254\) | −257489. | + | 1.12813e6i | −0.250423 | + | 1.09717i | ||||
\(255\) | −857247. | + | 1.07495e6i | −0.825573 | + | 1.03524i | ||||
\(256\) | −890902. | − | 1.11716e6i | −0.849631 | − | 1.06540i | ||||
\(257\) | −1.88935e6 | −1.78434 | −0.892172 | − | 0.451695i | \(-0.850820\pi\) | ||||
−0.892172 | + | 0.451695i | \(0.850820\pi\) | |||||||
\(258\) | −3.13648e6 | + | 1.34325e6i | −2.93355 | + | 1.25634i | ||||
\(259\) | 1.06664e6 | 0.988027 | ||||||||
\(260\) | −983770. | − | 1.23361e6i | −0.902527 | − | 1.13173i | ||||
\(261\) | −1.29193e6 | + | 1.62003e6i | −1.17392 | + | 1.47205i | ||||
\(262\) | 657818. | − | 2.88209e6i | 0.592042 | − | 2.59390i | ||||
\(263\) | 9562.54 | − | 4605.08i | 0.00852480 | − | 0.00410533i | −0.429616 | − | 0.903011i | \(-0.641351\pi\) |
0.438141 | + | 0.898906i | \(0.355637\pi\) | |||||||
\(264\) | −1.80313e6 | −1.59228 | ||||||||
\(265\) | 463359. | 0.405325 | ||||||||
\(266\) | 3.46363e6 | − | 1.66800e6i | 3.00143 | − | 1.44541i | ||||
\(267\) | −37659.9 | − | 164999.i | −0.0323297 | − | 0.141646i | ||||
\(268\) | 1.77039e6 | + | 852575.i | 1.50568 | + | 0.725096i | ||||
\(269\) | 142901. | + | 626090.i | 0.120408 | + | 0.527541i | 0.998772 | + | 0.0495485i | \(0.0157782\pi\) |
−0.878364 | + | 0.477992i | \(0.841365\pi\) | |||||||
\(270\) | 1.77315e6 | + | 2.22347e6i | 1.48026 | + | 1.85618i | ||||
\(271\) | 1.19839e6 | − | 577112.i | 0.991227 | − | 0.477350i | 0.133275 | − | 0.991079i | \(-0.457451\pi\) |
0.857952 | + | 0.513729i | \(0.171736\pi\) | |||||||
\(272\) | −1.76214e6 | − | 2.20965e6i | −1.44417 | − | 1.81093i | ||||
\(273\) | 748288. | − | 3.27846e6i | 0.607662 | − | 2.66234i | ||||
\(274\) | 589983. | + | 284121.i | 0.474748 | + | 0.228627i | ||||
\(275\) | 201639. | + | 97104.1i | 0.160784 | + | 0.0774294i | ||||
\(276\) | 1.61091e6 | − | 2.02002e6i | 1.27291 | − | 1.59618i | ||||
\(277\) | −238043. | + | 1.04293e6i | −0.186404 | + | 0.816691i | 0.792088 | + | 0.610407i | \(0.208994\pi\) |
−0.978492 | + | 0.206284i | \(0.933863\pi\) | |||||||
\(278\) | −554099. | − | 2.42767e6i | −0.430007 | − | 1.88398i | ||||
\(279\) | −1.35952e6 | + | 1.70478e6i | −1.04562 | + | 1.31117i | ||||
\(280\) | −2.66653e6 | + | 3.34373e6i | −2.03260 | + | 2.54880i | ||||
\(281\) | 286087. | + | 1.25343e6i | 0.216139 | + | 0.946966i | 0.960301 | + | 0.278967i | \(0.0899919\pi\) |
−0.744162 | + | 0.667999i | \(0.767151\pi\) | |||||||
\(282\) | 183546. | − | 804168.i | 0.137443 | − | 0.602177i | ||||
\(283\) | 758742. | − | 951432.i | 0.563155 | − | 0.706174i | −0.415982 | − | 0.909373i | \(-0.636562\pi\) |
0.979138 | + | 0.203198i | \(0.0651337\pi\) | |||||||
\(284\) | 2.64382e6 | + | 1.27319e6i | 1.94507 | + | 0.936697i | ||||
\(285\) | 1.53609e6 | + | 739741.i | 1.12022 | + | 0.539470i | ||||
\(286\) | −177836. | + | 779150.i | −0.128559 | + | 0.563256i | ||||
\(287\) | −29130.7 | − | 36528.7i | −0.0208759 | − | 0.0261776i | ||||
\(288\) | −3.94549e6 | + | 1.90005e6i | −2.80298 | + | 1.34984i | ||||
\(289\) | 106259. | + | 133245.i | 0.0748380 | + | 0.0938439i | ||||
\(290\) | −387561. | − | 1.69802e6i | −0.270611 | − | 1.18562i | ||||
\(291\) | −2.81885e6 | − | 1.35749e6i | −1.95137 | − | 0.939731i | ||||
\(292\) | 620963. | + | 2.72062e6i | 0.426195 | + | 1.86728i | ||||
\(293\) | −1.62651e6 | + | 783287.i | −1.10685 | + | 0.533031i | −0.895806 | − | 0.444446i | \(-0.853401\pi\) |
−0.211044 | + | 0.977477i | \(0.567686\pi\) | |||||||
\(294\) | −1.11153e7 | −7.49984 | ||||||||
\(295\) | −704367. | −0.471242 | ||||||||
\(296\) | −1.81851e6 | + | 875747.i | −1.20638 | + | 0.580964i | ||||
\(297\) | 224975. | − | 985682.i | 0.147994 | − | 0.648404i | ||||
\(298\) | −481339. | + | 603580.i | −0.313986 | + | 0.393726i | ||||
\(299\) | −410727. | − | 515035.i | −0.265690 | − | 0.333164i | ||||
\(300\) | 3.09770e6 | 1.98718 | ||||||||
\(301\) | 2.64471e6 | − | 1.13264e6i | 1.68253 | − | 0.720571i | ||||
\(302\) | 2.49698e6 | 1.57542 | ||||||||
\(303\) | −1.39674e6 | − | 1.75146e6i | −0.873997 | − | 1.09596i | ||||
\(304\) | −2.18509e6 | + | 2.74002e6i | −1.35608 | + | 1.70047i | ||||
\(305\) | −381902. | + | 1.67322e6i | −0.235073 | + | 1.02992i | ||||
\(306\) | 5.82408e6 | − | 2.80473e6i | 3.55569 | − | 1.71233i | ||||
\(307\) | −1.25200e6 | −0.758155 | −0.379078 | − | 0.925365i | \(-0.623759\pi\) | ||||
−0.379078 | + | 0.925365i | \(0.623759\pi\) | |||||||
\(308\) | 2.64304e6 | 1.58755 | ||||||||
\(309\) | −908132. | + | 437333.i | −0.541069 | + | 0.260565i | ||||
\(310\) | −407835. | − | 1.78684e6i | −0.241035 | − | 1.05604i | ||||
\(311\) | −106758. | − | 51412.0i | −0.0625892 | − | 0.0301414i | 0.402327 | − | 0.915496i | \(-0.368201\pi\) |
−0.464917 | + | 0.885355i | \(0.653916\pi\) | |||||||
\(312\) | 1.41597e6 | + | 6.20379e6i | 0.823510 | + | 3.60803i | ||||
\(313\) | 228580. | + | 286631.i | 0.131880 | + | 0.165372i | 0.843387 | − | 0.537307i | \(-0.180558\pi\) |
−0.711507 | + | 0.702679i | \(0.751987\pi\) | |||||||
\(314\) | 3.76959e6 | − | 1.81534e6i | 2.15760 | − | 1.03904i | ||||
\(315\) | −2.93823e6 | − | 3.68442e6i | −1.66843 | − | 2.09215i | ||||
\(316\) | −106667. | + | 467337.i | −0.0600912 | + | 0.263277i | ||||
\(317\) | −2.30736e6 | − | 1.11117e6i | −1.28964 | − | 0.621057i | −0.341789 | − | 0.939777i | \(-0.611033\pi\) |
−0.947849 | + | 0.318720i | \(0.896747\pi\) | |||||||
\(318\) | −2.92676e6 | − | 1.40945e6i | −1.62300 | − | 0.781597i | ||||
\(319\) | −386052. | + | 484094.i | −0.212407 | + | 0.266350i | ||||
\(320\) | 178490. | − | 782014.i | 0.0974402 | − | 0.426913i | ||||
\(321\) | 1.17965e6 | + | 5.16840e6i | 0.638987 | + | 2.79958i | ||||
\(322\) | −1.93529e6 | + | 2.42677e6i | −1.04017 | + | 1.30434i | ||||
\(323\) | 1.22952e6 | − | 1.54176e6i | 0.655734 | − | 0.822264i | ||||
\(324\) | −1.09836e6 | − | 4.81224e6i | −0.581277 | − | 2.54674i | ||||
\(325\) | 175748. | − | 770004.i | 0.0922960 | − | 0.404375i | ||||
\(326\) | −1.51584e6 | + | 1.90081e6i | −0.789970 | + | 0.990591i | ||||
\(327\) | 5.38956e6 | + | 2.59548e6i | 2.78730 | + | 1.34229i | ||||
\(328\) | 79655.8 | + | 38360.2i | 0.0408821 | + | 0.0196878i | ||||
\(329\) | −154768. | + | 678084.i | −0.0788301 | + | 0.345377i | ||||
\(330\) | 1.04125e6 | + | 1.30568e6i | 0.526344 | + | 0.660014i | ||||
\(331\) | −118501. | + | 57066.9i | −0.0594498 | + | 0.0286295i | −0.463372 | − | 0.886164i | \(-0.653361\pi\) |
0.403923 | + | 0.914793i | \(0.367646\pi\) | |||||||
\(332\) | −3.55786e6 | − | 4.46141e6i | −1.77151 | − | 2.22140i | ||||
\(333\) | −494896. | − | 2.16828e6i | −0.244570 | − | 1.07153i | ||||
\(334\) | −1.02694e6 | − | 494549.i | −0.503709 | − | 0.242574i | ||||
\(335\) | −232963. | − | 1.02068e6i | −0.113416 | − | 0.496909i | ||||
\(336\) | 1.30142e7 | − | 6.26732e6i | 6.28883 | − | 3.02854i | ||||
\(337\) | 2.17805e6 | 1.04471 | 0.522353 | − | 0.852730i | \(-0.325054\pi\) | ||||
0.522353 | + | 0.852730i | \(0.325054\pi\) | |||||||
\(338\) | −1.02641e6 | −0.488685 | ||||||||
\(339\) | 4.71884e6 | − | 2.27247e6i | 2.23016 | − | 1.07399i | ||||
\(340\) | −848613. | + | 3.71802e6i | −0.398119 | + | 1.74427i | ||||
\(341\) | −406247. | + | 509417.i | −0.189192 | + | 0.237240i | ||||
\(342\) | −4.99777e6 | − | 6.26701e6i | −2.31053 | − | 2.89731i | ||||
\(343\) | 5.38443e6 | 2.47118 | ||||||||
\(344\) | −3.57901e6 | + | 4.10243e6i | −1.63067 | + | 1.86915i | ||||
\(345\) | −1.37658e6 | −0.622662 | ||||||||
\(346\) | −3.96254e6 | − | 4.96887e6i | −1.77944 | − | 2.23135i | ||||
\(347\) | −2.44263e6 | + | 3.06297e6i | −1.08902 | + | 1.36558i | −0.163647 | + | 0.986519i | \(0.552326\pi\) |
−0.925370 | + | 0.379065i | \(0.876246\pi\) | |||||||
\(348\) | −1.90705e6 | + | 8.35534e6i | −0.844140 | + | 3.69842i | ||||
\(349\) | 2.47661e6 | − | 1.19267e6i | 1.08841 | − | 0.524152i | 0.198416 | − | 0.980118i | \(-0.436420\pi\) |
0.889997 | + | 0.455966i | \(0.150706\pi\) | |||||||
\(350\) | −3.72146e6 | −1.62384 | ||||||||
\(351\) | −3.56797e6 | −1.54580 | ||||||||
\(352\) | −1.17898e6 | + | 567768.i | −0.507166 | + | 0.244238i | ||||
\(353\) | 409038. | + | 1.79211e6i | 0.174714 | + | 0.765471i | 0.984016 | + | 0.178079i | \(0.0569883\pi\) |
−0.809302 | + | 0.587392i | \(0.800155\pi\) | |||||||
\(354\) | 4.44906e6 | + | 2.14255e6i | 1.88695 | + | 0.908706i | ||||
\(355\) | −347896. | − | 1.52423e6i | −0.146514 | − | 0.641920i | ||||
\(356\) | −292685. | − | 367015.i | −0.122398 | − | 0.153483i | ||||
\(357\) | −7.32289e6 | + | 3.52652e6i | −3.04097 | + | 1.46445i | ||||
\(358\) | 1.55401e6 | + | 1.94867e6i | 0.640835 | + | 0.803582i | ||||
\(359\) | −446111. | + | 1.95454e6i | −0.182687 | + | 0.800402i | 0.797658 | + | 0.603110i | \(0.206072\pi\) |
−0.980345 | + | 0.197292i | \(0.936785\pi\) | |||||||
\(360\) | 8.03438e6 | + | 3.86915e6i | 3.26735 | + | 1.57347i | ||||
\(361\) | 27737.6 | + | 13357.7i | 0.0112021 | + | 0.00539467i | ||||
\(362\) | 1.62874e6 | − | 2.04237e6i | 0.653250 | − | 0.819150i | ||||
\(363\) | −841293. | + | 3.68595e6i | −0.335105 | + | 1.46819i | ||||
\(364\) | −2.07554e6 | − | 9.09354e6i | −0.821065 | − | 3.59732i | ||||
\(365\) | 927005. | − | 1.16243e6i | 0.364208 | − | 0.456703i | ||||
\(366\) | 7.50188e6 | − | 9.40706e6i | 2.92730 | − | 3.67072i | ||||
\(367\) | −845927. | − | 3.70625e6i | −0.327844 | − | 1.43638i | −0.823230 | − | 0.567707i | \(-0.807831\pi\) |
0.495386 | − | 0.868673i | \(-0.335027\pi\) | |||||||
\(368\) | 629658. | − | 2.75871e6i | 0.242374 | − | 1.06191i | ||||
\(369\) | −60740.1 | + | 76165.7i | −0.0232225 | + | 0.0291201i | ||||
\(370\) | 1.68427e6 | + | 811102.i | 0.639599 | + | 0.308014i | ||||
\(371\) | 2.46788e6 | + | 1.18847e6i | 0.930870 | + | 0.448283i | ||||
\(372\) | −2.00681e6 | + | 8.79242e6i | −0.751882 | + | 3.29421i | ||||
\(373\) | 2.24274e6 | + | 2.81231e6i | 0.834655 | + | 1.04662i | 0.998193 | + | 0.0600874i | \(0.0191379\pi\) |
−0.163538 | + | 0.986537i | \(0.552291\pi\) | |||||||
\(374\) | 1.74033e6 | − | 838101.i | 0.643360 | − | 0.309826i | ||||
\(375\) | −3.15334e6 | − | 3.95416e6i | −1.15796 | − | 1.45203i | ||||
\(376\) | −292866. | − | 1.28313e6i | −0.106831 | − | 0.468059i | ||||
\(377\) | 1.96871e6 | + | 948082.i | 0.713393 | + | 0.343552i | ||||
\(378\) | 3.74097e6 | + | 1.63903e7i | 1.34665 | + | 5.90006i | ||||
\(379\) | −4.11320e6 | + | 1.98081e6i | −1.47090 | + | 0.708347i | −0.986080 | − | 0.166269i | \(-0.946828\pi\) |
−0.484817 | + | 0.874616i | \(0.661114\pi\) | |||||||
\(380\) | 4.72900e6 | 1.68000 | ||||||||
\(381\) | −3.03366e6 | −1.07067 | ||||||||
\(382\) | 234340. | − | 112852.i | 0.0821653 | − | 0.0395687i | ||||
\(383\) | 816364. | − | 3.57673e6i | 0.284372 | − | 1.24592i | −0.607753 | − | 0.794126i | \(-0.707929\pi\) |
0.892125 | − | 0.451789i | \(-0.149214\pi\) | |||||||
\(384\) | 1.29041e6 | − | 1.61812e6i | 0.446580 | − | 0.559993i | ||||
\(385\) | −877992. | − | 1.10097e6i | −0.301883 | − | 0.378550i | ||||
\(386\) | 1.07745e6 | 0.368069 | ||||||||
\(387\) | −3.52954e6 | − | 4.85069e6i | −1.19795 | − | 1.64636i | ||||
\(388\) | −8.67811e6 | −2.92648 | ||||||||
\(389\) | −1.91711e6 | − | 2.40397e6i | −0.642351 | − | 0.805482i | 0.348944 | − | 0.937143i | \(-0.386540\pi\) |
−0.991295 | + | 0.131661i | \(0.957969\pi\) | |||||||
\(390\) | 3.67461e6 | − | 4.60781e6i | 1.22335 | − | 1.53403i | ||||
\(391\) | −354298. | + | 1.55228e6i | −0.117200 | + | 0.513486i | ||||
\(392\) | −1.59791e7 | + | 7.69514e6i | −5.25216 | + | 2.52931i | ||||
\(393\) | 7.75023e6 | 2.53124 | ||||||||
\(394\) | −2.38041e6 | −0.772524 | ||||||||
\(395\) | 230105. | − | 110813.i | 0.0742049 | − | 0.0357352i | ||||
\(396\) | −1.22631e6 | − | 5.37281e6i | −0.392972 | − | 1.72172i | ||||
\(397\) | −1.00095e6 | − | 482032.i | −0.318740 | − | 0.153497i | 0.267672 | − | 0.963510i | \(-0.413746\pi\) |
−0.586412 | + | 0.810013i | \(0.699460\pi\) | |||||||
\(398\) | 1.19107e6 | + | 5.21843e6i | 0.376904 | + | 1.65132i | ||||
\(399\) | 6.28394e6 | + | 7.87981e6i | 1.97606 | + | 2.47790i | ||||
\(400\) | 3.05662e6 | − | 1.47199e6i | 0.955193 | − | 0.459997i | ||||
\(401\) | 3.54663e6 | + | 4.44734e6i | 1.10143 | + | 1.38115i | 0.917278 | + | 0.398247i | \(0.130381\pi\) |
0.184148 | + | 0.982899i | \(0.441047\pi\) | |||||||
\(402\) | −1.63323e6 | + | 7.15564e6i | −0.504060 | + | 2.20843i | ||||
\(403\) | 2.07170e6 | + | 997678.i | 0.635425 | + | 0.306004i | ||||
\(404\) | −5.59834e6 | − | 2.69602e6i | −1.70650 | − | 0.821806i | ||||
\(405\) | −1.63969e6 | + | 2.05611e6i | −0.496735 | + | 0.622886i | ||||
\(406\) | 2.29106e6 | − | 1.00378e7i | 0.689796 | − | 3.02220i | ||||
\(407\) | −147884. | − | 647920.i | −0.0442521 | − | 0.193881i | ||||
\(408\) | 9.58934e6 | − | 1.20246e7i | 2.85192 | − | 3.57620i | ||||
\(409\) | −1.71025e6 | + | 2.14458e6i | −0.505534 | + | 0.633920i | −0.967468 | − | 0.252995i | \(-0.918585\pi\) |
0.461933 | + | 0.886915i | \(0.347156\pi\) | |||||||
\(410\) | −18221.1 | − | 79832.0i | −0.00535323 | − | 0.0234540i | ||||
\(411\) | −382015. | + | 1.67372e6i | −0.111552 | + | 0.488740i | ||||
\(412\) | −1.74313e6 | + | 2.18582e6i | −0.505927 | + | 0.634412i | ||||
\(413\) | −3.75150e6 | − | 1.80662e6i | −1.08225 | − | 0.521186i | ||||
\(414\) | 5.83110e6 | + | 2.80811e6i | 1.67205 | + | 0.805218i | ||||
\(415\) | −676531. | + | 2.96407e6i | −0.192827 | + | 0.844829i | ||||
\(416\) | 2.87927e6 | + | 3.61050e6i | 0.815736 | + | 1.02290i | ||||
\(417\) | 5.88175e6 | − | 2.83250e6i | 1.65640 | − | 0.797682i | ||||
\(418\) | −1.49342e6 | − | 1.87269e6i | −0.418063 | − | 0.524234i | ||||
\(419\) | −63111.8 | − | 276511.i | −0.0175621 | − | 0.0769444i | 0.965387 | − | 0.260820i | \(-0.0839928\pi\) |
−0.982950 | + | 0.183875i | \(0.941136\pi\) | |||||||
\(420\) | −1.75609e7 | − | 8.45688e6i | −4.85762 | − | 2.33931i | ||||
\(421\) | −1.26732e6 | − | 5.55250e6i | −0.348483 | − | 1.52680i | −0.780626 | − | 0.624998i | \(-0.785100\pi\) |
0.432143 | − | 0.901805i | \(-0.357757\pi\) | |||||||
\(422\) | 1.13533e7 | − | 5.46744e6i | 3.10341 | − | 1.49452i | ||||
\(423\) | 1.45023e6 | 0.394080 | ||||||||
\(424\) | −5.18323e6 | −1.40019 | ||||||||
\(425\) | −1.71991e6 | + | 828264.i | −0.461884 | + | 0.222432i | ||||
\(426\) | −2.43899e6 | + | 1.06859e7i | −0.651156 | + | 2.85290i | ||||
\(427\) | −6.32567e6 | + | 7.93214e6i | −1.67895 | + | 2.10533i | ||||
\(428\) | 9.16802e6 | + | 1.14963e7i | 2.41917 | + | 3.03354i | ||||
\(429\) | −2.09521e6 | −0.549649 | ||||||||
\(430\) | 5.03740e6 | + | 222620.i | 1.31382 | + | 0.0580623i | ||||
\(431\) | 4.16292e6 | 1.07946 | 0.539728 | − | 0.841839i | \(-0.318527\pi\) | ||||
0.539728 | + | 0.841839i | \(0.318527\pi\) | |||||||
\(432\) | −9.55566e6 | − | 1.19824e7i | −2.46349 | − | 3.08912i | ||||
\(433\) | −3.66735e6 | + | 4.59871e6i | −0.940011 | + | 1.17874i | 0.0437118 | + | 0.999044i | \(0.486082\pi\) |
−0.983723 | + | 0.179692i | \(0.942490\pi\) | |||||||
\(434\) | 2.41091e6 | − | 1.05629e7i | 0.614407 | − | 2.69189i | ||||
\(435\) | 4.11395e6 | − | 1.98117e6i | 1.04240 | − | 0.501995i | ||||
\(436\) | 1.65923e7 | 4.18013 | ||||||||
\(437\) | 1.97437e6 | 0.494566 | ||||||||
\(438\) | −9.39122e6 | + | 4.52257e6i | −2.33903 | + | 1.12642i | ||||
\(439\) | 608257. | + | 2.66495e6i | 0.150635 | + | 0.659975i | 0.992701 | + | 0.120601i | \(0.0384820\pi\) |
−0.842066 | + | 0.539374i | \(0.818661\pi\) | |||||||
\(440\) | 2.40081e6 | + | 1.15617e6i | 0.591189 | + | 0.284702i | ||||
\(441\) | −4.34863e6 | − | 1.90526e7i | −1.06477 | − | 4.66506i | ||||
\(442\) | −4.25019e6 | − | 5.32958e6i | −1.03479 | − | 1.29759i | ||||
\(443\) | 146201. | − | 70406.6i | 0.0353949 | − | 0.0170453i | −0.416103 | − | 0.909318i | \(-0.636604\pi\) |
0.451497 | + | 0.892272i | \(0.350890\pi\) | |||||||
\(444\) | −5.73527e6 | − | 7.19180e6i | −1.38069 | − | 1.73133i | ||||
\(445\) | −55654.4 | + | 243838.i | −0.0133229 | + | 0.0583716i | ||||
\(446\) | −4.42244e6 | − | 2.12973e6i | −1.05275 | − | 0.506977i | ||||
\(447\) | −1.82352e6 | − | 878163.i | −0.431661 | − | 0.207877i | ||||
\(448\) | 2.95643e6 | − | 3.70724e6i | 0.695941 | − | 0.872682i | ||||
\(449\) | 1.17479e6 | − | 5.14708e6i | 0.275007 | − | 1.20488i | −0.629014 | − | 0.777394i | \(-0.716541\pi\) |
0.904021 | − | 0.427489i | \(-0.140602\pi\) | |||||||
\(450\) | 1.72667e6 | + | 7.56503e6i | 0.401955 | + | 1.76108i | ||||
\(451\) | −18150.2 | + | 22759.6i | −0.00420184 | + | 0.00526894i | ||||
\(452\) | 9.05769e6 | − | 1.13580e7i | 2.08531 | − | 2.61490i | ||||
\(453\) | 1.45668e6 | + | 6.38215e6i | 0.333518 | + | 1.46124i | ||||
\(454\) | −229436. | + | 1.00522e6i | −0.0522423 | + | 0.228888i | ||||
\(455\) | −3.09847e6 | + | 3.88536e6i | −0.701647 | + | 0.879838i | ||||
\(456\) | −1.71830e7 | − | 8.27489e6i | −3.86978 | − | 1.86359i | ||||
\(457\) | −3.10773e6 | − | 1.49660e6i | −0.696070 | − | 0.335210i | 0.0521696 | − | 0.998638i | \(-0.483386\pi\) |
−0.748240 | + | 0.663429i | \(0.769101\pi\) | |||||||
\(458\) | −2.37880e6 | + | 1.04222e7i | −0.529899 | + | 2.32164i | ||||
\(459\) | 5.37681e6 | + | 6.74231e6i | 1.19122 | + | 1.49375i | ||||
\(460\) | −3.44011e6 | + | 1.65667e6i | −0.758015 | + | 0.365041i | ||||
\(461\) | 169038. | + | 211967.i | 0.0370452 | + | 0.0464532i | 0.800009 | − | 0.599988i | \(-0.204828\pi\) |
−0.762964 | + | 0.646441i | \(0.776257\pi\) | |||||||
\(462\) | 2.19681e6 | + | 9.62484e6i | 0.478836 | + | 2.09792i | ||||
\(463\) | −3.46902e6 | − | 1.67059e6i | −0.752064 | − | 0.362175i | 0.0182555 | − | 0.999833i | \(-0.494189\pi\) |
−0.770319 | + | 0.637659i | \(0.779903\pi\) | |||||||
\(464\) | 2.08860e6 | + | 9.15073e6i | 0.450360 | + | 1.97315i | ||||
\(465\) | 4.32916e6 | − | 2.08481e6i | 0.928476 | − | 0.447131i | ||||
\(466\) | −7.31044e6 | −1.55948 | ||||||||
\(467\) | 4.78957e6 | 1.01626 | 0.508129 | − | 0.861281i | \(-0.330337\pi\) | ||||
0.508129 | + | 0.861281i | \(0.330337\pi\) | |||||||
\(468\) | −1.75225e7 | + | 8.43837e6i | −3.69811 | + | 1.78092i | ||||
\(469\) | 1.37716e6 | − | 6.03372e6i | 0.289102 | − | 1.26664i | ||||
\(470\) | −760018. | + | 953032.i | −0.158701 | + | 0.199004i | ||||
\(471\) | 6.83902e6 | + | 8.57586e6i | 1.42050 | + | 1.78125i | ||||
\(472\) | 7.87919e6 | 1.62789 | ||||||||
\(473\) | −1.05469e6 | − | 1.44947e6i | −0.216756 | − | 0.297890i | ||||
\(474\) | −1.79050e6 | −0.366040 | ||||||||
\(475\) | 1.47589e6 | + | 1.85071e6i | 0.300138 | + | 0.376361i | ||||
\(476\) | −1.40561e7 | + | 1.76258e7i | −2.84346 | + | 3.56558i | ||||
\(477\) | 1.27090e6 | − | 5.56816e6i | 0.255749 | − | 1.12051i | ||||
\(478\) | 6.83668e6 | − | 3.29237e6i | 1.36860 | − | 0.659082i | ||||
\(479\) | 1.22728e6 | 0.244402 | 0.122201 | − | 0.992505i | \(-0.461005\pi\) | ||||
0.122201 | + | 0.992505i | \(0.461005\pi\) | |||||||
\(480\) | 9.65007e6 | 1.91173 | ||||||||
\(481\) | −2.11308e6 | + | 1.01760e6i | −0.416440 | + | 0.200547i | ||||
\(482\) | 1.48510e6 | + | 6.50666e6i | 0.291165 | + | 1.27568i | ||||
\(483\) | −7.33172e6 | − | 3.53077e6i | −1.43001 | − | 0.688655i | ||||
\(484\) | 2.33351e6 | + | 1.02238e7i | 0.452790 | + | 1.98380i | ||||
\(485\) | 2.88278e6 | + | 3.61490e6i | 0.556490 | + | 0.697817i | ||||
\(486\) | 1.09974e6 | − | 529607.i | 0.211203 | − | 0.101710i | ||||
\(487\) | −69365.1 | − | 86981.0i | −0.0132531 | − | 0.0166189i | 0.775161 | − | 0.631764i | \(-0.217669\pi\) |
−0.788414 | + | 0.615145i | \(0.789097\pi\) | |||||||
\(488\) | 4.27204e6 | − | 1.87170e7i | 0.812055 | − | 3.55784i | ||||
\(489\) | −5.74268e6 | − | 2.76553e6i | −1.08603 | − | 0.523006i | ||||
\(490\) | 1.47996e7 | + | 7.12711e6i | 2.78458 | + | 1.34098i | ||||
\(491\) | −356869. | + | 447500.i | −0.0668045 | + | 0.0837702i | −0.814111 | − | 0.580709i | \(-0.802775\pi\) |
0.747306 | + | 0.664480i | \(0.231347\pi\) | |||||||
\(492\) | −89659.8 | + | 392825.i | −0.0166988 | + | 0.0731622i | ||||
\(493\) | −1.17522e6 | − | 5.14896e6i | −0.217771 | − | 0.954119i | ||||
\(494\) | −5.27034e6 | + | 6.60880e6i | −0.971676 | + | 1.21844i | ||||
\(495\) | −1.83069e6 | + | 2.29562e6i | −0.335817 | + | 0.421101i | ||||
\(496\) | 2.19785e6 | + | 9.62942e6i | 0.401138 | + | 1.75750i | ||||
\(497\) | 2.05658e6 | − | 9.01047e6i | 0.373469 | − | 1.63628i | ||||
\(498\) | 1.32894e7 | − | 1.66644e7i | 2.40122 | − | 3.01104i | ||||
\(499\) | 1.42785e6 | + | 687616.i | 0.256703 | + | 0.123622i | 0.557810 | − | 0.829969i | \(-0.311642\pi\) |
−0.301107 | + | 0.953590i | \(0.597356\pi\) | |||||||
\(500\) | −1.26390e7 | − | 6.08664e6i | −2.26094 | − | 1.08881i | ||||
\(501\) | 664947. | − | 2.91332e6i | 0.118357 | − | 0.518555i | ||||
\(502\) | −7.13772e6 | − | 8.95041e6i | −1.26415 | − | 1.58520i | ||||
\(503\) | 442150. | − | 212928.i | 0.0779201 | − | 0.0375243i | −0.394518 | − | 0.918888i | \(-0.629088\pi\) |
0.472438 | + | 0.881364i | \(0.343374\pi\) | |||||||
\(504\) | 3.28676e7 | + | 4.12146e7i | 5.76357 | + | 7.22729i | ||||
\(505\) | 736678. | + | 3.22760e6i | 0.128543 | + | 0.563185i | ||||
\(506\) | 1.74243e6 | + | 839112.i | 0.302538 | + | 0.145695i | ||||
\(507\) | −598786. | − | 2.62345e6i | −0.103455 | − | 0.453266i | ||||
\(508\) | −7.58122e6 | + | 3.65093e6i | −1.30341 | + | 0.627688i | ||||
\(509\) | −9.78177e6 | −1.67349 | −0.836745 | − | 0.547593i | \(-0.815544\pi\) | ||||
−0.836745 | + | 0.547593i | \(0.815544\pi\) | |||||||
\(510\) | −1.42448e7 | −2.42511 | ||||||||
\(511\) | 7.91878e6 | − | 3.81348e6i | 1.34155 | − | 0.646055i | ||||
\(512\) | 2.75163e6 | − | 1.20557e7i | 0.463891 | − | 2.03244i | ||||
\(513\) | 6.66737e6 | − | 8.36062e6i | 1.11856 | − | 1.40264i | ||||
\(514\) | −1.22045e7 | − | 1.53040e7i | −2.03757 | − | 2.55503i | ||||
\(515\) | 1.48956e6 | 0.247481 | ||||||||
\(516\) | −2.18573e7 | − | 1.17418e7i | −3.61387 | − | 1.94137i | ||||
\(517\) | 433352. | 0.0713042 | ||||||||
\(518\) | 6.89013e6 | + | 8.63995e6i | 1.12824 | + | 1.41477i | ||||
\(519\) | 1.03885e7 | − | 1.30268e7i | 1.69292 | − | 2.12285i | ||||
\(520\) | 2.09255e6 | − | 9.16805e6i | 0.339365 | − | 1.48686i | ||||
\(521\) | −8.45256e6 | + | 4.07054e6i | −1.36425 | + | 0.656988i | −0.965580 | − | 0.260106i | \(-0.916242\pi\) |
−0.398670 | + | 0.917094i | \(0.630528\pi\) | |||||||
\(522\) | −2.14679e7 | −3.44837 | ||||||||
\(523\) | 8.75171e6 | 1.39907 | 0.699534 | − | 0.714600i | \(-0.253391\pi\) | ||||
0.699534 | + | 0.714600i | \(0.253391\pi\) | |||||||
\(524\) | 1.93681e7 | − | 9.32719e6i | 3.08148 | − | 1.48396i | ||||
\(525\) | −2.17102e6 | − | 9.51186e6i | −0.343768 | − | 1.50615i | ||||
\(526\) | 99072.5 | + | 47710.8i | 0.0156131 | + | 0.00751886i | ||||
\(527\) | −1.23669e6 | − | 5.41831e6i | −0.193971 | − | 0.849841i | ||||
\(528\) | −5.61136e6 | − | 7.03643e6i | −0.875959 | − | 1.09842i | ||||
\(529\) | 4.36269e6 | − | 2.10096e6i | 0.677821 | − | 0.326422i | ||||
\(530\) | 2.99314e6 | + | 3.75328e6i | 0.462847 | + | 0.580392i | ||||
\(531\) | −1.93193e6 | + | 8.46432e6i | −0.297341 | + | 1.30273i | ||||
\(532\) | 2.51869e7 | + | 1.21294e7i | 3.85830 | + | 1.85806i | ||||
\(533\) | 92558.8 | + | 44574.0i | 0.0141124 | + | 0.00679616i | ||||
\(534\) | 1.09325e6 | − | 1.37089e6i | 0.165907 | − | 0.208041i | ||||
\(535\) | 1.74331e6 | − | 7.63794e6i | 0.263324 | − | 1.15370i | ||||
\(536\) | 2.60597e6 | + | 1.14175e7i | 0.391794 | + | 1.71656i | ||||
\(537\) | −4.07412e6 | + | 5.10879e6i | −0.609675 | + | 0.764508i | ||||
\(538\) | −4.14833e6 | + | 5.20184e6i | −0.617899 | + | 0.774821i | ||||
\(539\) | −1.29945e6 | − | 5.69324e6i | −0.192658 | − | 0.844088i | ||||
\(540\) | −4.60183e6 | + | 2.01619e7i | −0.679120 | + | 2.97542i | ||||
\(541\) | −7.98393e6 | + | 1.00115e7i | −1.17280 | + | 1.47064i | −0.320763 | + | 0.947159i | \(0.603939\pi\) |
−0.852036 | + | 0.523484i | \(0.824632\pi\) | |||||||
\(542\) | 1.24158e7 | + | 5.97915e6i | 1.81542 | + | 0.874261i | ||||
\(543\) | 6.17037e6 | + | 2.97149e6i | 0.898073 | + | 0.432489i | ||||
\(544\) | 2.48370e6 | − | 1.08818e7i | 0.359834 | − | 1.57654i | ||||
\(545\) | −5.51180e6 | − | 6.91157e6i | −0.794881 | − | 0.996749i | ||||
\(546\) | 3.13897e7 | − | 1.51165e7i | 4.50615 | − | 2.17005i | ||||
\(547\) | 472972. | + | 593089.i | 0.0675877 | + | 0.0847523i | 0.814476 | − | 0.580197i | \(-0.197025\pi\) |
−0.746888 | + | 0.664949i | \(0.768453\pi\) | |||||||
\(548\) | 1.05960e6 | + | 4.64242e6i | 0.150727 | + | 0.660379i | ||||
\(549\) | 1.90595e7 | + | 9.17858e6i | 2.69887 | + | 1.29971i | ||||
\(550\) | 515958. | + | 2.26056e6i | 0.0727290 | + | 0.318647i | ||||
\(551\) | −5.90048e6 | + | 2.84152e6i | −0.827957 | + | 0.398723i | ||||
\(552\) | 1.53986e7 | 2.15097 | ||||||||
\(553\) | 1.50977e6 | 0.209942 | ||||||||
\(554\) | −9.98559e6 | + | 4.80881e6i | −1.38229 | + | 0.665676i | ||||
\(555\) | −1.09057e6 | + | 4.77809e6i | −0.150287 | + | 0.658449i | ||||
\(556\) | 1.12899e7 | − | 1.41570e7i | 1.54882 | − | 1.94216i | ||||
\(557\) | −3.82975e6 | − | 4.80235e6i | −0.523036 | − | 0.655867i | 0.448214 | − | 0.893926i | \(-0.352060\pi\) |
−0.971251 | + | 0.238059i | \(0.923489\pi\) | |||||||
\(558\) | −2.25909e7 | −3.07149 | ||||||||
\(559\) | −4.15876e6 | + | 4.76696e6i | −0.562903 | + | 0.645226i | ||||
\(560\) | −2.13466e7 | −2.87646 | ||||||||
\(561\) | 3.15742e6 | + | 3.95928e6i | 0.423570 | + | 0.531140i | ||||
\(562\) | −8.30494e6 | + | 1.04141e7i | −1.10916 | + | 1.39085i | ||||
\(563\) | −2.26493e6 | + | 9.92331e6i | −0.301151 | + | 1.31943i | 0.567243 | + | 0.823551i | \(0.308010\pi\) |
−0.868393 | + | 0.495876i | \(0.834847\pi\) | |||||||
\(564\) | 5.40414e6 | − | 2.60250e6i | 0.715367 | − | 0.344502i | ||||
\(565\) | −7.74009e6 | −1.02006 | ||||||||
\(566\) | 1.26079e7 | 1.65426 | ||||||||
\(567\) | −1.40068e7 | + | 6.74531e6i | −1.82970 | + | 0.881139i | ||||
\(568\) | 3.89164e6 | + | 1.70504e7i | 0.506130 | + | 2.21750i | ||||
\(569\) | −9.58729e6 | − | 4.61700e6i | −1.24141 | − | 0.597832i | −0.306214 | − | 0.951963i | \(-0.599062\pi\) |
−0.935196 | + | 0.354131i | \(0.884777\pi\) | |||||||
\(570\) | 3.93058e6 | + | 1.72210e7i | 0.506722 | + | 2.22009i | ||||
\(571\) | 876621. | + | 1.09925e6i | 0.112518 | + | 0.141093i | 0.834901 | − | 0.550400i | \(-0.185525\pi\) |
−0.722383 | + | 0.691493i | \(0.756953\pi\) | |||||||
\(572\) | −5.23601e6 | + | 2.52153e6i | −0.669130 | + | 0.322236i | ||||
\(573\) | 425154. | + | 533126.i | 0.0540953 | + | 0.0678334i | ||||
\(574\) | 107714. | − | 471925.i | 0.0136456 | − | 0.0597852i | ||||
\(575\) | −1.72198e6 | − | 829263.i | −0.217200 | − | 0.104598i | ||||
\(576\) | −8.90785e6 | − | 4.28979e6i | −1.11871 | − | 0.538741i | ||||
\(577\) | −4.88432e6 | + | 6.12474e6i | −0.610751 | + | 0.765858i | −0.987010 | − | 0.160657i | \(-0.948639\pi\) |
0.376259 | + | 0.926514i | \(0.377210\pi\) | |||||||
\(578\) | −392905. | + | 1.72143e6i | −0.0489180 | + | 0.214324i | ||||
\(579\) | 628562. | + | 2.75391e6i | 0.0779205 | + | 0.341392i | ||||
\(580\) | 7.89662e6 | − | 9.90205e6i | 0.974700 | − | 1.22224i | ||||
\(581\) | −1.12058e7 | + | 1.40516e7i | −1.37721 | + | 1.72697i | ||||
\(582\) | −7.21295e6 | − | 3.16020e7i | −0.882684 | − | 3.86729i | ||||
\(583\) | 379765. | − | 1.66386e6i | 0.0462747 | − | 0.202743i | ||||
\(584\) | −1.03697e7 | + | 1.30031e7i | −1.25815 | + | 1.57767i | ||||
\(585\) | 9.33582e6 | + | 4.49590e6i | 1.12788 | + | 0.543158i | ||||
\(586\) | −1.68514e7 | − | 8.11523e6i | −2.02718 | − | 0.976240i | ||||
\(587\) | 775526. | − | 3.39780e6i | 0.0928969 | − | 0.407008i | −0.907003 | − | 0.421123i | \(-0.861636\pi\) |
0.999900 | + | 0.0141152i | \(0.00449316\pi\) | |||||||
\(588\) | −5.03955e7 | − | 6.31940e7i | −6.01103 | − | 7.53759i | ||||
\(589\) | −6.20914e6 | + | 2.99016e6i | −0.737468 | + | 0.355146i | ||||
\(590\) | −4.54996e6 | − | 5.70547e6i | −0.538118 | − | 0.674779i | ||||
\(591\) | −1.38868e6 | − | 6.08422e6i | −0.163544 | − | 0.716533i | ||||
\(592\) | −9.07666e6 | − | 4.37109e6i | −1.06444 | − | 0.512608i | ||||
\(593\) | −1.59654e6 | − | 6.99491e6i | −0.186442 | − | 0.816856i | −0.978473 | − | 0.206375i | \(-0.933833\pi\) |
0.792031 | − | 0.610481i | \(-0.209024\pi\) | |||||||
\(594\) | 9.43742e6 | − | 4.54482e6i | 1.09746 | − | 0.528507i | ||||
\(595\) | 1.20114e7 | 1.39091 | ||||||||
\(596\) | −5.61389e6 | −0.647364 | ||||||||
\(597\) | −1.26432e7 | + | 6.08865e6i | −1.45185 | + | 0.699173i | ||||
\(598\) | 1.51871e6 | − | 6.65389e6i | 0.173668 | − | 0.760891i | ||||
\(599\) | 3.04049e6 | − | 3.81265e6i | 0.346239 | − | 0.434171i | −0.577969 | − | 0.816059i | \(-0.696155\pi\) |
0.924209 | + | 0.381888i | \(0.124726\pi\) | |||||||
\(600\) | 1.15109e7 | + | 1.44342e7i | 1.30536 | + | 1.63687i | ||||
\(601\) | 2.40427e6 | 0.271517 | 0.135759 | − | 0.990742i | \(-0.456653\pi\) | ||||
0.135759 | + | 0.990742i | \(0.456653\pi\) | |||||||
\(602\) | 2.62585e7 | + | 1.41061e7i | 2.95310 | + | 1.58641i | ||||
\(603\) | −1.29044e7 | −1.44525 | ||||||||
\(604\) | 1.13210e7 | + | 1.41961e7i | 1.26268 | + | 1.58335i | ||||
\(605\) | 3.48358e6 | − | 4.36827e6i | 0.386935 | − | 0.485201i | ||||
\(606\) | 5.16461e6 | − | 2.26276e7i | 0.571289 | − | 2.50298i | ||||
\(607\) | 4.60518e6 | − | 2.21774e6i | 0.507312 | − | 0.244309i | −0.162677 | − | 0.986679i | \(-0.552013\pi\) |
0.669989 | + | 0.742371i | \(0.266299\pi\) | |||||||
\(608\) | −1.38407e7 | −1.51845 | ||||||||
\(609\) | 2.69926e7 | 2.94918 | ||||||||
\(610\) | −1.60203e7 | + | 7.71497e6i | −1.74320 | + | 0.839479i | ||||
\(611\) | −340305. | − | 1.49097e6i | −0.0368778 | − | 0.161572i | ||||
\(612\) | 4.23516e7 | + | 2.03954e7i | 4.57079 | + | 2.20118i | ||||
\(613\) | 2.83604e6 | + | 1.24255e7i | 0.304832 | + | 1.33556i | 0.862738 | + | 0.505652i | \(0.168748\pi\) |
−0.557906 | + | 0.829904i | \(0.688395\pi\) | |||||||
\(614\) | −8.08748e6 | − | 1.01414e7i | −0.865749 | − | 1.08562i | ||||
\(615\) | 193417. | − | 93144.7i | 0.0206209 | − | 0.00993048i | ||||
\(616\) | 9.82140e6 | + | 1.23156e7i | 1.04285 | + | 1.30769i | ||||
\(617\) | 1.87854e6 | − | 8.23043e6i | 0.198659 | − | 0.870381i | −0.773077 | − | 0.634312i | \(-0.781284\pi\) |
0.971736 | − | 0.236070i | \(-0.0758593\pi\) | |||||||
\(618\) | −9.40867e6 | − | 4.53098e6i | −0.990962 | − | 0.477222i | ||||
\(619\) | −1.89060e6 | − | 910464.i | −0.198323 | − | 0.0955072i | 0.332086 | − | 0.943249i | \(-0.392247\pi\) |
−0.530409 | + | 0.847742i | \(0.677962\pi\) | |||||||
\(620\) | 8.30970e6 | − | 1.04200e7i | 0.868173 | − | 1.08865i | ||||
\(621\) | −1.92128e6 | + | 8.41766e6i | −0.199922 | + | 0.875916i | ||||
\(622\) | −273175. | − | 1.19686e6i | −0.0283117 | − | 0.124041i | ||||
\(623\) | −921837. | + | 1.15595e6i | −0.0951555 | + | 0.119321i | ||||
\(624\) | −1.98027e7 | + | 2.48318e7i | −2.03593 | + | 2.55298i | ||||
\(625\) | 610516. | + | 2.67485e6i | 0.0625169 | + | 0.273904i | ||||
\(626\) | −845201. | + | 3.70307e6i | −0.0862034 | + | 0.377682i | ||||
\(627\) | 3.91527e6 | − | 4.90960e6i | 0.397735 | − | 0.498743i | ||||
\(628\) | 2.74118e7 | + | 1.32008e7i | 2.77356 | + | 1.33568i | ||||
\(629\) | 5.10728e6 | + | 2.45954e6i | 0.514711 | + | 0.247872i | ||||
\(630\) | 1.08644e7 | − | 4.76001e7i | 1.09057 | − | 4.77811i | ||||
\(631\) | 835982. | + | 1.04829e6i | 0.0835841 | + | 0.104811i | 0.821865 | − | 0.569682i | \(-0.192934\pi\) |
−0.738281 | + | 0.674493i | \(0.764362\pi\) | |||||||
\(632\) | −2.57400e6 | + | 1.23957e6i | −0.256339 | + | 0.123446i | ||||
\(633\) | 2.05978e7 | + | 2.58288e7i | 2.04320 | + | 2.56209i | ||||
\(634\) | −5.90414e6 | − | 2.58677e7i | −0.583356 | − | 2.55585i | ||||
\(635\) | 4.03921e6 | + | 1.94518e6i | 0.397523 | + | 0.191437i | ||||
\(636\) | −5.25643e6 | − | 2.30299e7i | −0.515286 | − | 2.25761i | ||||
\(637\) | −1.85675e7 | + | 8.94164e6i | −1.81303 | + | 0.873109i | ||||
\(638\) | −6.41499e6 | −0.623942 | ||||||||
\(639\) | −1.92708e7 | −1.86701 | ||||||||
\(640\) | −2.75567e6 | + | 1.32706e6i | −0.265936 | + | 0.128068i | ||||
\(641\) | −901848. | + | 3.95125e6i | −0.0866938 | + | 0.379830i | −0.999598 | − | 0.0283429i | \(-0.990977\pi\) |
0.912904 | + | 0.408173i | \(0.133834\pi\) | |||||||
\(642\) | −3.42446e7 | + | 4.29414e7i | −3.27910 | + | 4.11186i | ||||
\(643\) | −2.21820e6 | − | 2.78154e6i | −0.211579 | − | 0.265312i | 0.664705 | − | 0.747106i | \(-0.268557\pi\) |
−0.876285 | + | 0.481793i | \(0.839986\pi\) | |||||||
\(644\) | −2.25714e7 | −2.14459 | ||||||||
\(645\) | 2.36971e6 | + | 1.30052e7i | 0.224283 | + | 1.23089i | ||||
\(646\) | 2.04307e7 | 1.92621 | ||||||||
\(647\) | −8.16035e6 | − | 1.02328e7i | −0.766387 | − | 0.961019i | 0.233549 | − | 0.972345i | \(-0.424966\pi\) |
−0.999936 | + | 0.0113263i | \(0.996395\pi\) | |||||||
\(648\) | 1.83419e7 | − | 2.30000e7i | 1.71596 | − | 2.15175i | ||||
\(649\) | −577293. | + | 2.52928e6i | −0.0538003 | + | 0.235714i | ||||
\(650\) | 7.37242e6 | − | 3.55037e6i | 0.684426 | − | 0.329602i | ||||
\(651\) | 2.84046e7 | 2.62686 | ||||||||
\(652\) | −1.76794e7 | −1.62873 | ||||||||
\(653\) | 1.56305e7 | − | 7.52725e6i | 1.43446 | − | 0.690801i | 0.454642 | − | 0.890674i | \(-0.349767\pi\) |
0.979822 | + | 0.199873i | \(0.0640529\pi\) | |||||||
\(654\) | 1.37909e7 | + | 6.04221e7i | 1.26081 | + | 5.52397i | ||||
\(655\) | −1.03192e7 | − | 4.96945e6i | −0.939813 | − | 0.452590i | ||||
\(656\) | 98195.1 | + | 430221.i | 0.00890902 | + | 0.0390330i | ||||
\(657\) | −1.14262e7 | − | 1.43280e7i | −1.03274 | − | 1.29501i | ||||
\(658\) | −6.49232e6 | + | 3.12654e6i | −0.584568 | + | 0.281513i | ||||
\(659\) | 6.73253e6 | + | 8.44232e6i | 0.603899 | + | 0.757266i | 0.985980 | − | 0.166863i | \(-0.0533638\pi\) |
−0.382081 | + | 0.924129i | \(0.624792\pi\) | |||||||
\(660\) | −2.70233e6 | + | 1.18397e7i | −0.241479 | + | 1.05799i | ||||
\(661\) | −5.70112e6 | − | 2.74551e6i | −0.507524 | − | 0.244411i | 0.162557 | − | 0.986699i | \(-0.448026\pi\) |
−0.670080 | + | 0.742289i | \(0.733740\pi\) | |||||||
\(662\) | −1.22772e6 | − | 591240.i | −0.108882 | − | 0.0524347i | ||||
\(663\) | 1.11427e7 | − | 1.39725e7i | 0.984476 | − | 1.23449i | ||||
\(664\) | 7.56781e6 | − | 3.31567e7i | 0.666116 | − | 2.91845i | ||||
\(665\) | −3.31431e6 | − | 1.45209e7i | −0.290629 | − | 1.27333i | ||||
\(666\) | 1.43665e7 | − | 1.80151e7i | 1.25507 | − | 1.57380i | ||||
\(667\) | 3.29686e6 | − | 4.13413e6i | 0.286936 | − | 0.359807i | ||||
\(668\) | −1.84438e6 | − | 8.08074e6i | −0.159922 | − | 0.700665i | ||||
\(669\) | 2.86354e6 | − | 1.25460e7i | 0.247365 | − | 1.08377i | ||||
\(670\) | 6.76279e6 | − | 8.48027e6i | 0.582021 | − | 0.729831i | ||||
\(671\) | 5.69531e6 | + | 2.74272e6i | 0.488328 | + | 0.235166i | ||||
\(672\) | 5.13968e7 | + | 2.47514e7i | 4.39049 | + | 2.11435i | ||||
\(673\) | 1.03653e6 | − | 4.54133e6i | 0.0882153 | − | 0.386496i | −0.911476 | − | 0.411354i | \(-0.865056\pi\) |
0.999691 | + | 0.0248575i | \(0.00791321\pi\) | |||||||
\(674\) | 1.40695e7 | + | 1.76425e7i | 1.19296 | + | 1.49593i | ||||
\(675\) | −9.32665e6 | + | 4.49148e6i | −0.787891 | + | 0.379428i | ||||
\(676\) | −4.65364e6 | − | 5.83548e6i | −0.391675 | − | 0.491145i | ||||
\(677\) | 4.52442e6 | + | 1.98228e7i | 0.379395 | + | 1.66224i | 0.699331 | + | 0.714798i | \(0.253481\pi\) |
−0.319936 | + | 0.947439i | \(0.603661\pi\) | |||||||
\(678\) | 4.88894e7 | + | 2.35439e7i | 4.08452 | + | 1.96700i | ||||
\(679\) | 6.08204e6 | + | 2.66472e7i | 0.506262 | + | 2.21808i | ||||
\(680\) | −2.04781e7 | + | 9.86172e6i | −1.69831 | + | 0.817863i | ||||
\(681\) | −2.70315e6 | −0.223359 | ||||||||
\(682\) | −6.75056e6 | −0.555749 | ||||||||
\(683\) | 1.28444e7 | − | 6.18554e6i | 1.05357 | − | 0.507372i | 0.174792 | − | 0.984605i | \(-0.444075\pi\) |
0.878776 | + | 0.477234i | \(0.158361\pi\) | |||||||
\(684\) | 1.29706e7 | − | 5.68280e7i | 1.06004 | − | 4.64432i | ||||
\(685\) | 1.58183e6 | − | 1.98355e6i | 0.128805 | − | 0.161516i | ||||
\(686\) | 3.47815e7 | + | 4.36147e7i | 2.82188 | + | 3.53852i | ||||
\(687\) | −2.80263e7 | −2.26555 | ||||||||
\(688\) | −2.71469e7 | − | 1.19972e6i | −2.18650 | − | 0.0966291i | ||||
\(689\) | −6.02284e6 | −0.483340 | ||||||||
\(690\) | −8.89219e6 | − | 1.11505e7i | −0.711027 | − | 0.891600i | ||||
\(691\) | 3.12769e6 | − | 3.92199e6i | 0.249189 | − | 0.312473i | −0.641468 | − | 0.767150i | \(-0.721674\pi\) |
0.890656 | + | 0.454678i | \(0.150246\pi\) | |||||||
\(692\) | 1.02839e7 | − | 4.50567e7i | 0.816380 | − | 3.57679i | ||||
\(693\) | −1.56384e7 | + | 7.53105e6i | −1.23697 | + | 0.595693i | ||||
\(694\) | −4.05890e7 | −3.19897 | ||||||||
\(695\) | −9.64754e6 | −0.757625 | ||||||||
\(696\) | −4.60195e7 | + | 2.21618e7i | −3.60096 | + | 1.73413i | ||||
\(697\) | −55252.7 | − | 242078.i | −0.00430796 | − | 0.0188744i | ||||
\(698\) | 2.56588e7 | + | 1.23566e7i | 1.99342 | + | 0.959979i | ||||
\(699\) | −4.26476e6 | − | 1.86851e7i | −0.330143 | − | 1.44645i | ||||
\(700\) | −1.68727e7 | − | 2.11577e7i | −1.30149 | − | 1.63201i | ||||
\(701\) | −7.14677e6 | + | 3.44170e6i | −0.549306 | + | 0.264532i | −0.687885 | − | 0.725819i | \(-0.741461\pi\) |
0.138579 | + | 0.990351i | \(0.455747\pi\) | |||||||
\(702\) | −2.30478e7 | − | 2.89010e7i | −1.76517 | − | 2.21345i | ||||
\(703\) | 1.56416e6 | − | 6.85303e6i | 0.119369 | − | 0.522991i | ||||
\(704\) | −2.66182e6 | − | 1.28186e6i | −0.202417 | − | 0.0974788i | ||||
\(705\) | −2.87928e6 | − | 1.38659e6i | −0.218178 | − | 0.105069i | ||||
\(706\) | −1.18741e7 | + | 1.48897e7i | −0.896583 | + | 1.12428i | ||||
\(707\) | −4.35486e6 | + | 1.90799e7i | −0.327661 | + | 1.43558i | ||||
\(708\) | 7.99046e6 | + | 3.50085e7i | 0.599085 | + | 2.62476i | ||||
\(709\) | 3.28306e6 | − | 4.11682e6i | 0.245280 | − | 0.307572i | −0.643917 | − | 0.765095i | \(-0.722692\pi\) |
0.889198 | + | 0.457523i | \(0.151263\pi\) | |||||||
\(710\) | 1.00992e7 | − | 1.26640e7i | 0.751869 | − | 0.942814i | ||||
\(711\) | −700498. | − | 3.06908e6i | −0.0519677 | − | 0.227685i | ||||
\(712\) | 622561. | − | 2.72762e6i | 0.0460238 | − | 0.201643i | ||||
\(713\) | 3.46932e6 | − | 4.35039e6i | 0.255576 | − | 0.320483i | ||||
\(714\) | −7.58685e7 | − | 3.65364e7i | −5.56950 | − | 2.68213i | ||||
\(715\) | 2.78970e6 | + | 1.34345e6i | 0.204077 | + | 0.0982781i | ||||
\(716\) | −4.03309e6 | + | 1.76701e7i | −0.294006 | + | 1.28812i | ||||
\(717\) | 1.24035e7 | + | 1.55535e7i | 0.901047 | + | 1.12988i | ||||
\(718\) | −1.87138e7 | + | 9.01207e6i | −1.35472 | + | 0.652399i | ||||
\(719\) | 4.49441e6 | + | 5.63581e6i | 0.324228 | + | 0.406569i | 0.917055 | − | 0.398761i | \(-0.130560\pi\) |
−0.592827 | + | 0.805330i | \(0.701988\pi\) | |||||||
\(720\) | 9.90432e6 | + | 4.33936e7i | 0.712022 | + | 3.11957i | ||||
\(721\) | 7.93350e6 | + | 3.82057e6i | 0.568364 | + | 0.273710i | ||||
\(722\) | 70975.7 | + | 310965.i | 0.00506718 | + | 0.0222008i | ||||
\(723\) | −1.57643e7 | + | 7.59170e6i | −1.12158 | + | 0.540124i | ||||
\(724\) | 1.89961e7 | 1.34684 | ||||||||
\(725\) | 6.33969e6 | 0.447943 | ||||||||
\(726\) | −3.52912e7 | + | 1.69953e7i | −2.48499 | + | 1.19671i | ||||
\(727\) | 2.41924e6 | − | 1.05994e7i | 0.169763 | − | 0.743780i | −0.816330 | − | 0.577586i | \(-0.803995\pi\) |
0.986093 | − | 0.166194i | \(-0.0531479\pi\) | |||||||
\(728\) | 3.46601e7 | − | 4.34624e7i | 2.42383 | − | 3.03938i | ||||
\(729\) | −7.93111e6 | − | 9.94530e6i | −0.552733 | − | 0.693105i | ||||
\(730\) | 1.54040e7 | 1.06986 | ||||||||
\(731\) | 1.52751e7 | + | 675061.i | 1.05728 | + | 0.0467250i | ||||
\(732\) | 8.74950e7 | 6.03539 | ||||||||
\(733\) | −2.03660e6 | − | 2.55382e6i | −0.140006 | − | 0.175562i | 0.706885 | − | 0.707328i | \(-0.250100\pi\) |
−0.846891 | + | 0.531767i | \(0.821528\pi\) | |||||||
\(734\) | 2.45568e7 | − | 3.07932e7i | 1.68241 | − | 2.10967i | ||||
\(735\) | −9.58277e6 | + | 4.19849e7i | −0.654294 | + | 2.86665i | ||||
\(736\) | 1.00684e7 | − | 4.84870e6i | 0.685121 | − | 0.329937i | ||||
\(737\) | −3.85606e6 | −0.261502 | ||||||||
\(738\) | −1.00931e6 | −0.0682157 | ||||||||
\(739\) | −1.93658e7 | + | 9.32607e6i | −1.30444 | + | 0.628185i | −0.951554 | − | 0.307481i | \(-0.900514\pi\) |
−0.352886 | + | 0.935666i | \(0.614800\pi\) | |||||||
\(740\) | 3.02493e6 | + | 1.32531e7i | 0.203065 | + | 0.889688i | ||||
\(741\) | −1.99664e7 | − | 9.61530e6i | −1.33584 | − | 0.643305i | ||||
\(742\) | 6.31487e6 | + | 2.76673e7i | 0.421070 | + | 1.84483i | ||||
\(743\) | −3.16172e6 | − | 3.96467e6i | −0.210112 | − | 0.263472i | 0.665597 | − | 0.746311i | \(-0.268177\pi\) |
−0.875709 | + | 0.482839i | \(0.839606\pi\) | |||||||
\(744\) | −4.84268e7 | + | 2.33211e7i | −3.20740 | + | 1.54460i | ||||
\(745\) | 1.86488e6 | + | 2.33849e6i | 0.123101 | + | 0.154363i | ||||
\(746\) | −8.29278e6 | + | 3.63330e7i | −0.545573 | + | 2.39031i | ||||
\(747\) | 3.37635e7 | + | 1.62596e7i | 2.21384 | + | 1.06613i | ||||
\(748\) | 1.26554e7 | + | 6.09451e6i | 0.827030 | + | 0.398277i | ||||
\(749\) | 2.88755e7 | − | 3.62087e7i | 1.88072 | − | 2.35835i | ||||
\(750\) | 1.16598e7 | − | 5.10850e7i | 0.756900 | − | 3.31620i | ||||
\(751\) | 1.41213e6 | + | 6.18694e6i | 0.0913638 | + | 0.400291i | 0.999844 | − | 0.0176358i | \(-0.00561394\pi\) |
−0.908481 | + | 0.417927i | \(0.862757\pi\) | |||||||
\(752\) | 4.09579e6 | − | 5.13596e6i | 0.264115 | − | 0.331190i | ||||
\(753\) | 1.87128e7 | − | 2.34651e7i | 1.20268 | − | 1.50812i | ||||
\(754\) | 5.03759e6 | + | 2.20711e7i | 0.322697 | + | 1.41383i | ||||
\(755\) | 2.15271e6 | − | 9.43164e6i | 0.137442 | − | 0.602171i | ||||
\(756\) | −7.62228e7 | + | 9.55804e7i | −4.85043 | + | 6.08225i | ||||
\(757\) | 6.91861e6 | + | 3.33183e6i | 0.438813 | + | 0.211321i | 0.640228 | − | 0.768185i | \(-0.278840\pi\) |
−0.201415 | + | 0.979506i | \(0.564554\pi\) | |||||||
\(758\) | −4.26147e7 | − | 2.05222e7i | −2.69393 | − | 1.29733i | ||||
\(759\) | −1.12823e6 | + | 4.94310e6i | −0.0710875 | + | 0.311454i | ||||
\(760\) | 1.75727e7 | + | 2.20355e7i | 1.10358 | + | 1.38385i | ||||
\(761\) | −1.19663e7 | + | 5.76265e6i | −0.749027 | + | 0.360712i | −0.769136 | − | 0.639085i | \(-0.779313\pi\) |
0.0201089 | + | 0.999798i | \(0.493599\pi\) | |||||||
\(762\) | −1.95964e7 | − | 2.45731e7i | −1.22261 | − | 1.53311i | ||||
\(763\) | −1.16287e7 | − | 5.09486e7i | −0.723135 | − | 3.16826i | ||||
\(764\) | 1.70408e6 | + | 820640.i | 0.105622 | + | 0.0508650i | ||||
\(765\) | −5.57299e6 | − | 2.44169e7i | −0.344298 | − | 1.50847i | ||||
\(766\) | 3.42454e7 | − | 1.64917e7i | 2.10878 | − | 1.01553i | ||||
\(767\) | 9.15549e6 | 0.561944 | ||||||||
\(768\) | 3.88115e7 | 2.37442 | ||||||||
\(769\) | −2.29146e7 | + | 1.10351e7i | −1.39732 | + | 0.672914i | −0.972616 | − | 0.232418i | \(-0.925336\pi\) |
−0.424704 | + | 0.905332i | \(0.639622\pi\) | |||||||
\(770\) | 3.24647e6 | − | 1.42237e7i | 0.197326 | − | 0.864543i | ||||
\(771\) | 3.19964e7 | − | 4.01222e7i | 1.93849 | − | 2.43080i | ||||
\(772\) | 4.88505e6 | + | 6.12566e6i | 0.295003 | + | 0.369922i | ||||
\(773\) | −1.74403e7 | −1.04980 | −0.524898 | − | 0.851165i | \(-0.675896\pi\) | ||||
−0.524898 | + | 0.851165i | \(0.675896\pi\) | |||||||
\(774\) | 1.64917e7 | − | 5.99235e7i | 0.989495 | − | 3.59538i | ||||
\(775\) | 6.67133e6 | 0.398986 | ||||||||
\(776\) | −3.22474e7 | − | 4.04369e7i | −1.92238 | − | 2.41059i | ||||
\(777\) | −1.80637e7 | + | 2.26512e7i | −1.07338 | + | 1.34598i | ||||
\(778\) | 7.08871e6 | − | 3.10577e7i | 0.419873 | − | 1.83958i | ||||
\(779\) | −277410. | + | 133594.i | −0.0163787 | + | 0.00788755i | ||||
\(780\) | 4.28572e7 | 2.52225 | ||||||||
\(781\) | −5.75845e6 | −0.337814 | ||||||||
\(782\) | −1.48623e7 | + | 7.15733e6i | −0.869102 | + | 0.418537i | ||||
\(783\) | −6.37293e6 | − | 2.79216e7i | −0.371479 | − | 1.62756i | ||||
\(784\) | −7.97562e7 | − | 3.84085e7i | −4.63419 | − | 2.23171i | ||||
\(785\) | −3.60708e6 | − | 1.58036e7i | −0.208921 | − | 0.915341i | ||||
\(786\) | 5.00638e7 | + | 6.27780e7i | 2.89046 | + | 3.62452i | ||||
\(787\) | 2.14878e7 | − | 1.03480e7i | 1.23667 | − | 0.595549i | 0.302764 | − | 0.953066i | \(-0.402091\pi\) |
0.933907 | + | 0.357516i | \(0.116376\pi\) | |||||||
\(788\) | −1.07926e7 | − | 1.35334e7i | −0.619168 | − | 0.776413i | ||||
\(789\) | −64149.6 | + | 281058.i | −0.00366861 | + | 0.0160732i | ||||
\(790\) | 2.38399e6 | + | 1.14807e6i | 0.135906 | + | 0.0654486i | ||||
\(791\) | −4.12241e7 | − | 1.98525e7i | −2.34267 | − | 1.12817i | ||||
\(792\) | 2.04785e7 | − | 2.56792e7i | 1.16007 | − | 1.45469i | ||||
\(793\) | 4.96404e6 | − | 2.17489e7i | 0.280319 | − | 1.22816i | ||||
\(794\) | −2.56126e6 | − | 1.12216e7i | −0.144179 | − | 0.631689i | ||||
\(795\) | −7.84706e6 | + | 9.83990e6i | −0.440341 | + | 0.552170i | ||||
\(796\) | −2.42683e7 | + | 3.04315e7i | −1.35755 | + | 1.70232i | ||||
\(797\) | 5.43131e6 | + | 2.37961e7i | 0.302872 | + | 1.32697i | 0.865771 | + | 0.500441i | \(0.166829\pi\) |
−0.562899 | + | 0.826526i | \(0.690314\pi\) | |||||||
\(798\) | −2.32355e7 | + | 1.01802e8i | −1.29165 | + | 5.65910i | ||||
\(799\) | −2.30463e6 | + | 2.88992e6i | −0.127713 | + | 0.160147i | ||||
\(800\) | 1.20714e7 | + | 5.81330e6i | 0.666859 | + | 0.321142i | ||||
\(801\) | 2.77753e6 | + | 1.33759e6i | 0.152960 | + | 0.0736617i | ||||
\(802\) | −1.31141e7 | + | 5.74565e7i | −0.719949 | + | 3.15430i | ||||
\(803\) | −3.41435e6 | − | 4.28146e6i | −0.186861 | − | 0.234317i | ||||
\(804\) | −4.80871e7 | + | 2.31575e7i | −2.62354 | + | 1.26343i | ||||
\(805\) | 7.49800e6 | + | 9.40219e6i | 0.407808 | + | 0.511375i | ||||
\(806\) | 5.30112e6 | + | 2.32257e7i | 0.287428 | + | 1.25931i | ||||
\(807\) | −1.57157e7 | − | 7.56828e6i | −0.849473 | − | 0.409085i | ||||
\(808\) | −8.24063e6 | − | 3.61046e7i | −0.444050 | − | 1.94551i | ||||
\(809\) | 1.97754e7 | − | 9.52335e6i | 1.06232 | − | 0.511586i | 0.180695 | − | 0.983539i | \(-0.442165\pi\) |
0.881623 | + | 0.471953i | \(0.156451\pi\) | |||||||
\(810\) | −2.72466e7 | −1.45915 | ||||||||
\(811\) | 1.02106e6 | 0.0545129 | 0.0272564 | − | 0.999628i | \(-0.491323\pi\) | ||||
0.0272564 | + | 0.999628i | \(0.491323\pi\) | |||||||
\(812\) | 6.74555e7 | − | 3.24849e7i | 3.59027 | − | 1.72898i | ||||
\(813\) | −8.03928e6 | + | 3.52224e7i | −0.426570 | + | 1.86893i | ||||
\(814\) | 4.29297e6 | − | 5.38321e6i | 0.227089 | − | 0.284761i | ||||
\(815\) | 5.87293e6 | + | 7.36442e6i | 0.309714 | + | 0.388369i | ||||
\(816\) | 7.67662e7 | 4.03594 | ||||||||
\(817\) | −3.39878e6 | − | 1.86529e7i | −0.178143 | − | 0.977666i | ||||
\(818\) | −2.84190e7 | −1.48500 | ||||||||
\(819\) | 3.81916e7 | + | 4.78908e7i | 1.98957 | + | 2.49484i | ||||
\(820\) | 371259. | − | 465544.i | 0.0192815 | − | 0.0241783i | ||||
\(821\) | −2.93330e6 | + | 1.28516e7i | −0.151879 | + | 0.665426i | 0.840459 | + | 0.541875i | \(0.182285\pi\) |
−0.992338 | + | 0.123551i | \(0.960572\pi\) | |||||||
\(822\) | −1.60250e7 | + | 7.71725e6i | −0.827217 | + | 0.398367i | ||||
\(823\) | −2.00898e7 | −1.03389 | −0.516947 | − | 0.856017i | \(-0.672932\pi\) | ||||
−0.516947 | + | 0.856017i | \(0.672932\pi\) | |||||||
\(824\) | −1.66626e7 | −0.854916 | ||||||||
\(825\) | −5.47688e6 | + | 2.63753e6i | −0.280155 | + | 0.134916i | ||||
\(826\) | −9.59942e6 | − | 4.20578e7i | −0.489548 | − | 2.14485i | ||||
\(827\) | 9.11209e6 | + | 4.38815e6i | 0.463291 | + | 0.223109i | 0.650943 | − | 0.759126i | \(-0.274374\pi\) |
−0.187652 | + | 0.982236i | \(0.560088\pi\) | |||||||
\(828\) | 1.04726e7 | + | 4.58834e7i | 0.530858 | + | 2.32584i | ||||
\(829\) | 2.78636e6 | + | 3.49398e6i | 0.140816 | + | 0.176577i | 0.847238 | − | 0.531213i | \(-0.178264\pi\) |
−0.706423 | + | 0.707790i | \(0.749692\pi\) | |||||||
\(830\) | −2.83796e7 | + | 1.36669e7i | −1.42992 | + | 0.688612i | ||||
\(831\) | −1.81165e7 | − | 2.27173e7i | −0.910062 | − | 1.14118i | ||||
\(832\) | −2.32004e6 | + | 1.01648e7i | −0.116195 | + | 0.509084i | ||||
\(833\) | 4.48775e7 | + | 2.16118e7i | 2.24087 | + | 1.07914i | ||||
\(834\) | 6.09377e7 | + | 2.93460e7i | 3.03369 | + | 1.46095i | ||||
\(835\) | −2.75338e6 | + | 3.45263e6i | −0.136663 | + | 0.171369i | ||||
\(836\) | 3.87584e6 | − | 1.69812e7i | 0.191801 | − | 0.840335i | ||||
\(837\) | −6.70630e6 | − | 2.93822e7i | −0.330879 | − | 1.44968i | ||||
\(838\) | 1.83210e6 | − | 2.29738e6i | 0.0901236 | − | 0.113011i | ||||
\(839\) | −1.28523e7 | + | 1.61163e7i | −0.630341 | + | 0.790423i | −0.989758 | − | 0.142754i | \(-0.954404\pi\) |
0.359417 | + | 0.933177i | \(0.382976\pi\) | |||||||
\(840\) | −2.58493e7 | − | 1.13253e8i | −1.26401 | − | 5.53798i | ||||
\(841\) | 661228. | − | 2.89703e6i | 0.0322375 | − | 0.141242i | ||||
\(842\) | 3.67896e7 | − | 4.61327e7i | 1.78832 | − | 2.24248i | ||||
\(843\) | −3.14628e7 | − | 1.51517e7i | −1.52485 | − | 0.734331i | ||||
\(844\) | 8.25588e7 | + | 3.97582e7i | 3.98939 | + | 1.92119i | ||||
\(845\) | −884895. | + | 3.87698e6i | −0.0426334 | + | 0.186789i | ||||
\(846\) | 9.36795e6 | + | 1.17470e7i | 0.450006 | + | 0.564290i | ||||
\(847\) | 2.97579e7 | − | 1.43307e7i | 1.42526 | − | 0.686369i | ||||
\(848\) | −1.61303e7 | − | 2.02267e7i | −0.770285 | − | 0.965907i | ||||
\(849\) | 7.35521e6 | + | 3.22253e7i | 0.350208 | + | 1.53436i | ||||
\(850\) | −1.78191e7 | − | 8.58120e6i | −0.845936 | − | 0.407381i | ||||
\(851\) | 1.26292e6 | + | 5.53320e6i | 0.0597793 | + | 0.261910i | ||||
\(852\) | −7.18110e7 | + | 3.45823e7i | −3.38916 | + | 1.63213i | ||||
\(853\) | 2.50226e7 | 1.17750 | 0.588749 | − | 0.808316i | \(-0.299621\pi\) | ||||
0.588749 | + | 0.808316i | \(0.299621\pi\) | |||||||
\(854\) | −1.05113e8 | −4.93188 | ||||||||
\(855\) | −2.79806e7 | + | 1.34748e7i | −1.30901 | + | 0.630384i | ||||
\(856\) | −1.95010e7 | + | 8.54395e7i | −0.909647 | + | 3.98542i | ||||
\(857\) | 2.59369e6 | − | 3.25238e6i | 0.120633 | − | 0.151269i | −0.717848 | − | 0.696200i | \(-0.754873\pi\) |
0.838481 | + | 0.544931i | \(0.183444\pi\) | |||||||
\(858\) | −1.35343e7 | − | 1.69715e7i | −0.627652 | − | 0.787051i | ||||
\(859\) | 1.52456e7 | 0.704954 | 0.352477 | − | 0.935820i | \(-0.385339\pi\) | ||||
0.352477 | + | 0.935820i | \(0.385339\pi\) | |||||||
\(860\) | 2.15734e7 | + | 2.96486e7i | 0.994655 | + | 1.36697i | ||||
\(861\) | 1.26906e6 | 0.0583408 | ||||||||
\(862\) | 2.68910e7 | + | 3.37203e7i | 1.23265 | + | 1.54569i | ||||
\(863\) | −2.48597e7 | + | 3.11730e7i | −1.13624 | + | 1.42479i | −0.246014 | + | 0.969266i | \(0.579121\pi\) |
−0.890222 | + | 0.455528i | \(0.849451\pi\) | |||||||
\(864\) | 1.34685e7 | − | 5.90095e7i | 0.613812 | − | 2.68929i | ||||
\(865\) | −2.21847e7 | + | 1.06836e7i | −1.00812 | + | 0.485487i | ||||
\(866\) | −6.09401e7 | −2.76127 | ||||||||
\(867\) | −4.62910e6 | −0.209146 | ||||||||
\(868\) | 7.09842e7 | − | 3.41842e7i | 3.19788 | − | 1.54002i | ||||
\(869\) | −209321. | − | 917095.i | −0.00940293 | − | 0.0411969i | ||||
\(870\) | 4.26225e7 | + | 2.05259e7i | 1.90915 | + | 0.919399i | ||||
\(871\) | 3.02810e6 | + | 1.32670e7i | 0.135246 | + | 0.592552i | ||||
\(872\) | 6.16561e7 | + | 7.73143e7i | 2.74590 | + | 3.44325i | ||||
\(873\) | 5.13468e7 | − | 2.47273e7i | 2.28022 | − | 1.09810i | ||||
\(874\) | 1.27537e7 | + | 1.59927e7i | 0.564753 | + | 0.708177i | ||||
\(875\) | −9.83169e6 | + | 4.30755e7i | −0.434118 | + | 1.90200i | ||||
\(876\) | −6.82911e7 | − | 3.28873e7i | −3.00680 | − | 1.44800i | ||||
\(877\) | −3.07029e7 | − | 1.47857e7i | −1.34797 | − | 0.649148i | −0.386049 | − | 0.922478i | \(-0.626160\pi\) |
−0.961920 | + | 0.273330i | \(0.911875\pi\) | |||||||
\(878\) | −1.76573e7 | + | 2.21416e7i | −0.773016 | + | 0.969332i | ||||
\(879\) | 1.09113e7 | − | 4.78057e7i | 0.476328 | − | 2.08693i | ||||
\(880\) | 2.95958e6 | + | 1.29668e7i | 0.128832 | + | 0.564449i | ||||
\(881\) | 1.55398e7 | − | 1.94863e7i | 0.674537 | − | 0.845842i | −0.320301 | − | 0.947316i | \(-0.603784\pi\) |
0.994838 | + | 0.101473i | \(0.0323556\pi\) | |||||||
\(882\) | 1.26238e8 | − | 1.58298e8i | 5.46411 | − | 6.85177i | ||||
\(883\) | 117935. | + | 516706.i | 0.00509027 | + | 0.0223019i | 0.977409 | − | 0.211355i | \(-0.0677878\pi\) |
−0.972319 | + | 0.233657i | \(0.924931\pi\) | |||||||
\(884\) | 1.10304e7 | − | 4.83275e7i | 0.474747 | − | 2.08000i | ||||
\(885\) | 1.19285e7 | − | 1.49579e7i | 0.511952 | − | 0.641968i | ||||
\(886\) | 1.51471e6 | + | 729445.i | 0.0648253 | + | 0.0312182i | ||||
\(887\) | −4.41796e6 | − | 2.12758e6i | −0.188544 | − | 0.0907979i | 0.337230 | − | 0.941422i | \(-0.390510\pi\) |
−0.525774 | + | 0.850624i | \(0.676224\pi\) | |||||||
\(888\) | 1.21993e7 | − | 5.34487e7i | 0.519162 | − | 2.27460i | ||||
\(889\) | 1.65239e7 | + | 2.07203e7i | 0.701226 | + | 0.879310i | ||||
\(890\) | −2.33463e6 | + | 1.12430e6i | −0.0987968 | + | 0.0475781i | ||||
\(891\) | 6.03933e6 | + | 7.57308e6i | 0.254856 | + | 0.319579i | ||||
\(892\) | −7.94265e6 | − | 3.47990e7i | −0.334236 | − | 1.46438i | ||||
\(893\) | 4.12964e6 | + | 1.98873e6i | 0.173294 | + | 0.0834540i | ||||
\(894\) | −4.66608e6 | − | 2.04434e7i | −0.195258 | − | 0.855480i | ||||
\(895\) | 8.70031e6 | − | 4.18985e6i | 0.363059 | − | 0.174840i | ||||
\(896\) | −1.80806e7 | −0.752391 | ||||||||
\(897\) | 1.78930e7 | 0.742509 | ||||||||
\(898\) | 4.92808e7 | − | 2.37324e7i | 2.03933 | − | 0.982087i | ||||
\(899\) | −4.10710e6 | + | 1.79944e7i | −0.169487 | + | 0.742570i | ||||
\(900\) | −3.51811e7 | + | 4.41158e7i | −1.44778 | + | 1.81546i | ||||
\(901\) | 9.07622e6 | + | 1.13812e7i | 0.372472 | + | 0.467064i | ||||
\(902\) | −301600. | −0.0123428 | ||||||||
\(903\) | −2.07358e7 | + | 7.53446e7i | −0.846256 | + | 3.07491i | ||||
\(904\) | 8.65822e7 | 3.52377 | ||||||||
\(905\) | −6.31031e6 | − | 7.91288e6i | −0.256112 | − | 0.321154i | ||||
\(906\) | −4.22867e7 | + | 5.30258e7i | −1.71152 | + | 2.14618i | ||||
\(907\) | −8.39235e6 | + | 3.67693e7i | −0.338739 | + | 1.48411i | 0.462957 | + | 0.886381i | \(0.346788\pi\) |
−0.801696 | + | 0.597732i | \(0.796069\pi\) | |||||||
\(908\) | −6.75528e6 | + | 3.25317e6i | −0.271912 | + | 0.130946i | ||||
\(909\) | 4.08064e7 | 1.63802 | ||||||||
\(910\) | −5.14870e7 | −2.06108 | ||||||||
\(911\) | 703076. | − | 338583.i | 0.0280677 | − | 0.0135167i | −0.419797 | − | 0.907618i | \(-0.637899\pi\) |
0.447865 | + | 0.894101i | \(0.352185\pi\) | |||||||
\(912\) | −2.11822e7 | − | 9.28053e7i | −0.843303 | − | 3.69475i | ||||
\(913\) | 1.00891e7 | + | 4.85866e6i | 0.400568 | + | 0.192903i | ||||
\(914\) | −7.95214e6 | − | 3.48406e7i | −0.314861 | − | 1.37950i | ||||
\(915\) | −2.90650e7 | − | 3.64464e7i | −1.14767 | − | 1.43913i | ||||
\(916\) | −7.00388e7 | + | 3.37289e7i | −2.75804 | + | 1.32820i | ||||
\(917\) | −4.22144e7 | − | 5.29351e7i | −1.65782 | − | 2.07884i | ||||
\(918\) | −1.98813e7 | + | 8.71059e7i | −0.778644 | + | 3.41146i | ||||
\(919\) | 4.97802e6 | + | 2.39729e6i | 0.194432 | + | 0.0936335i | 0.528567 | − | 0.848892i | \(-0.322730\pi\) |
−0.334135 | + | 0.942525i | \(0.608444\pi\) | |||||||
\(920\) | −2.05028e7 | − | 9.87361e6i | −0.798625 | − | 0.384598i | ||||
\(921\) | 2.12028e7 | − | 2.65875e7i | 0.823652 | − | 1.03283i | ||||
\(922\) | −625036. | + | 2.73846e6i | −0.0242146 | + | 0.106091i | ||||
\(923\) | 4.52202e6 | + | 1.98123e7i | 0.174714 | + | 0.765474i | ||||
\(924\) | −4.47603e7 | + | 5.61276e7i | −1.72470 | + | 2.16270i | ||||
\(925\) | −4.24258e6 | + | 5.32003e6i | −0.163033 | + | 0.204437i | ||||
\(926\) | −8.87662e6 | − | 3.88910e7i | −0.340189 | − | 1.49047i | ||||
\(927\) | 4.08555e6 | − | 1.79000e7i | 0.156153 | − | 0.684153i | ||||
\(928\) | −2.31116e7 | + | 2.89811e7i | −0.880969 | + | 1.10470i | ||||
\(929\) | 3.53217e7 | + | 1.70100e7i | 1.34277 | + | 0.646644i | 0.960726 | − | 0.277500i | \(-0.0895058\pi\) |
0.382045 | + | 0.924144i | \(0.375220\pi\) | |||||||
\(930\) | 4.48521e7 | + | 2.15996e7i | 1.70050 | + | 0.818915i | ||||
\(931\) | 1.37442e7 | − | 6.02172e7i | 0.519691 | − | 2.27691i | ||||
\(932\) | −3.31448e7 | − | 4.15623e7i | −1.24990 | − | 1.56733i | ||||
\(933\) | 2.89975e6 | − | 1.39644e6i | 0.109058 | − | 0.0525194i | ||||
\(934\) | 3.09389e7 | + | 3.87962e7i | 1.16048 | + | 1.45520i | ||||
\(935\) | −1.66531e6 | − | 7.29618e6i | −0.0622967 | − | 0.272940i | ||||
\(936\) | −1.04432e8 | − | 5.02920e7i | −3.89624 | − | 1.87633i | ||||
\(937\) | 4.49416e6 | + | 1.96902e7i | 0.167224 | + | 0.732657i | 0.987099 | + | 0.160114i | \(0.0511861\pi\) |
−0.819874 | + | 0.572544i | \(0.805957\pi\) | |||||||
\(938\) | 5.77699e7 | − | 2.78205e7i | 2.14385 | − | 1.03242i | ||||
\(939\) | −9.95793e6 | −0.368558 | ||||||||
\(940\) | −8.86415e6 | −0.327203 | ||||||||
\(941\) | 1.44857e7 | − | 6.97595e6i | 0.533293 | − | 0.256820i | −0.147800 | − | 0.989017i | \(-0.547219\pi\) |
0.681093 | + | 0.732197i | \(0.261505\pi\) | |||||||
\(942\) | −2.52880e7 | + | 1.10794e8i | −0.928512 | + | 4.06808i | ||||
\(943\) | 155001. | − | 194366.i | 0.00567618 | − | 0.00711771i | ||||
\(944\) | 2.45201e7 | + | 3.07472e7i | 0.895554 | + | 1.12299i | ||||
\(945\) | 6.51348e7 | 2.37265 | ||||||||
\(946\) | 4.92801e6 | − | 1.79062e7i | 0.179037 | − | 0.650541i | ||||
\(947\) | −3.83036e6 | −0.138792 | −0.0693960 | − | 0.997589i | \(-0.522107\pi\) | ||||
−0.0693960 | + | 0.997589i | \(0.522107\pi\) | |||||||
\(948\) | −8.11796e6 | − | 1.01796e7i | −0.293377 | − | 0.367883i | ||||
\(949\) | −1.20494e7 | + | 1.51095e7i | −0.434310 | + | 0.544607i | ||||
\(950\) | −5.45727e6 | + | 2.39099e7i | −0.196185 | + | 0.859544i | ||||
\(951\) | 6.26723e7 | − | 3.01814e7i | 2.24711 | − | 1.08215i | ||||
\(952\) | −1.34362e8 | −4.80488 | ||||||||
\(953\) | −2.76139e7 | −0.984909 | −0.492454 | − | 0.870338i | \(-0.663900\pi\) | ||||
−0.492454 | + | 0.870338i | \(0.663900\pi\) | |||||||
\(954\) | 5.33124e7 | − | 2.56739e7i | 1.89652 | − | 0.913316i | ||||
\(955\) | −224237. | − | 982448.i | −0.00795609 | − | 0.0348579i | ||||
\(956\) | 4.97151e7 | + | 2.39415e7i | 1.75931 | + | 0.847241i | ||||
\(957\) | −3.74237e6 | − | 1.63964e7i | −0.132089 | − | 0.578720i | ||||
\(958\) | 7.92781e6 | + | 9.94115e6i | 0.279087 | + | 0.349964i | ||||
\(959\) | 1.35125e7 | − | 6.50727e6i | 0.474448 | − | 0.228482i | ||||
\(960\) | 1.35841e7 | + | 1.70339e7i | 0.475722 | + | 0.596536i | ||||
\(961\) | 2.04864e6 | − | 8.97567e6i | 0.0715578 | − | 0.313515i | ||||
\(962\) | −2.18925e7 | − | 1.05429e7i | −0.762706 | − | 0.367300i | ||||
\(963\) | −8.70030e7 | − | 4.18984e7i | −3.02321 | − | 1.45590i | ||||
\(964\) | −3.02592e7 | + | 3.79438e7i | −1.04873 | + | 1.31507i | ||||
\(965\) | 928898. | − | 4.06977e6i | 0.0321107 | − | 0.140686i | ||||
\(966\) | −1.87606e7 | − | 8.21955e7i | −0.646850 | − | 2.83403i | ||||
\(967\) | −6.05418e6 | + | 7.59170e6i | −0.208204 | + | 0.261080i | −0.874959 | − | 0.484198i | \(-0.839112\pi\) |
0.666755 | + | 0.745277i | \(0.267683\pi\) | |||||||
\(968\) | −3.89681e7 | + | 4.88644e7i | −1.33666 | + | 1.67612i | ||||
\(969\) | 1.19189e7 | + | 5.22200e7i | 0.407780 | + | 1.78660i | ||||
\(970\) | −1.06594e7 | + | 4.67019e7i | −0.363751 | + | 1.59370i | ||||
\(971\) | 1.41544e7 | − | 1.77490e7i | 0.481773 | − | 0.604124i | −0.480237 | − | 0.877139i | \(-0.659449\pi\) |
0.962010 | + | 0.273015i | \(0.0880207\pi\) | |||||||
\(972\) | 7.99710e6 | + | 3.85120e6i | 0.271498 | + | 0.130747i | ||||
\(973\) | −5.13833e7 | − | 2.47449e7i | −1.73996 | − | 0.837922i | ||||
\(974\) | 256485. | − | 1.12373e6i | 0.00866292 | − | 0.0379547i | ||||
\(975\) | 1.33755e7 | + | 1.67723e7i | 0.450607 | + | 0.565043i | ||||
\(976\) | 8.63346e7 | − | 4.15766e7i | 2.90108 | − | 1.39709i | ||||
\(977\) | −3.59331e7 | − | 4.50587e7i | −1.20437 | − | 1.51023i | −0.804826 | − | 0.593511i | \(-0.797741\pi\) |
−0.399539 | − | 0.916716i | \(-0.630830\pi\) | |||||||
\(978\) | −1.46945e7 | − | 6.43809e7i | −0.491257 | − | 2.15234i | ||||
\(979\) | 829975. | + | 399695.i | 0.0276763 | + | 0.0133282i | ||||
\(980\) | 2.65799e7 | + | 1.16454e8i | 0.884074 | + | 3.87338i | ||||
\(981\) | −9.81735e7 | + | 4.72779e7i | −3.25703 | + | 1.56850i | ||||
\(982\) | −5.93007e6 | −0.196237 | ||||||||
\(983\) | 127330. | 0.00420289 | 0.00210144 | − | 0.999998i | \(-0.499331\pi\) | ||||
0.00210144 | + | 0.999998i | \(0.499331\pi\) | |||||||
\(984\) | −2.16360e6 | + | 1.04194e6i | −0.0712343 | + | 0.0343046i | ||||
\(985\) | −2.05222e6 | + | 8.99136e6i | −0.0673958 | + | 0.295280i | ||||
\(986\) | 3.41159e7 | − | 4.27799e7i | 1.11754 | − | 1.40135i | ||||
\(987\) | −1.17788e7 | − | 1.47701e7i | −0.384864 | − | 0.482604i | ||||
\(988\) | −6.14684e7 | −2.00336 | ||||||||
\(989\) | 9.00695e6 | + | 1.23784e7i | 0.292811 | + | 0.402414i | ||||
\(990\) | −3.04205e7 | −0.986457 | ||||||||
\(991\) | 4.16867e6 | + | 5.22735e6i | 0.134838 | + | 0.169082i | 0.844666 | − | 0.535293i | \(-0.179799\pi\) |
−0.709828 | + | 0.704375i | \(0.751227\pi\) | |||||||
\(992\) | −2.43206e7 | + | 3.04971e7i | −0.784685 | + | 0.983964i | ||||
\(993\) | 794953. | − | 3.48292e6i | 0.0255840 | − | 0.112091i | ||||
\(994\) | 8.62709e7 | − | 4.15459e7i | 2.76948 | − | 1.33371i | ||||
\(995\) | 2.07380e7 | 0.664064 | ||||||||
\(996\) | 1.54995e8 | 4.95074 | ||||||||
\(997\) | −2.10122e7 | + | 1.01189e7i | −0.669473 | + | 0.322401i | −0.737563 | − | 0.675278i | \(-0.764024\pi\) |
0.0680906 | + | 0.997679i | \(0.478309\pi\) | |||||||
\(998\) | 3.65362e6 | + | 1.60075e7i | 0.116117 | + | 0.508743i | ||||
\(999\) | 2.76956e7 | + | 1.33375e7i | 0.878005 | + | 0.422825i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.6.e.a.11.18 | yes | 108 | |
43.4 | even | 7 | inner | 43.6.e.a.4.18 | ✓ | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.e.a.4.18 | ✓ | 108 | 43.4 | even | 7 | inner | |
43.6.e.a.11.18 | yes | 108 | 1.1 | even | 1 | trivial |