Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(451,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.451");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.p (of order \(6\), degree \(2\), 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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 551.3 | ||
Character | \(\chi\) | \(=\) | 700.551 |
Dual form | 700.2.p.e.451.3 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24320 | + | 0.674125i | −0.879078 | + | 0.476679i | ||||
\(3\) | −0.366453 | − | 0.634715i | −0.211572 | − | 0.366453i | 0.740635 | − | 0.671908i | \(-0.234525\pi\) |
−0.952207 | + | 0.305455i | \(0.901191\pi\) | |||||||
\(4\) | 1.09111 | − | 1.67615i | 0.545555 | − | 0.838075i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.883452 | + | 0.542044i | 0.360668 | + | 0.221289i | ||||
\(7\) | 0.664037 | + | 2.56107i | 0.250982 | + | 0.967992i | ||||
\(8\) | −0.226536 | + | 2.81934i | −0.0800926 | + | 0.996787i | ||||
\(9\) | 1.23142 | − | 2.13289i | 0.410475 | − | 0.710964i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.33007 | + | 1.34527i | −0.702542 | + | 0.405613i | −0.808294 | − | 0.588780i | \(-0.799609\pi\) |
0.105751 | + | 0.994393i | \(0.466275\pi\) | |||||||
\(12\) | −1.46372 | − | 0.0783137i | −0.422539 | − | 0.0226072i | ||||
\(13\) | 3.95118i | 1.09586i | 0.836524 | + | 0.547930i | \(0.184584\pi\) | ||||
−0.836524 | + | 0.547930i | \(0.815416\pi\) | |||||||
\(14\) | −2.55201 | − | 2.73628i | −0.682054 | − | 0.731302i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.61896 | − | 3.65773i | −0.404740 | − | 0.914432i | ||||
\(17\) | 1.22891 | − | 0.709509i | 0.298053 | − | 0.172081i | −0.343515 | − | 0.939147i | \(-0.611618\pi\) |
0.641568 | + | 0.767066i | \(0.278284\pi\) | |||||||
\(18\) | −0.0930760 | + | 3.48175i | −0.0219382 | + | 0.820657i | ||||
\(19\) | −1.61265 | + | 2.79319i | −0.369966 | + | 0.640801i | −0.989560 | − | 0.144122i | \(-0.953964\pi\) |
0.619593 | + | 0.784923i | \(0.287297\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.38221 | − | 1.35998i | 0.301622 | − | 0.296773i | ||||
\(22\) | 1.98987 | − | 3.24320i | 0.424242 | − | 0.691452i | ||||
\(23\) | −4.25426 | − | 2.45620i | −0.887074 | − | 0.512152i | −0.0140897 | − | 0.999901i | \(-0.504485\pi\) |
−0.872984 | + | 0.487748i | \(0.837818\pi\) | |||||||
\(24\) | 1.87249 | − | 0.889369i | 0.382221 | − | 0.181542i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.66359 | − | 4.91212i | −0.522373 | − | 0.963345i | ||||
\(27\) | −4.00375 | −0.770522 | ||||||||
\(28\) | 5.01727 | + | 1.68138i | 0.948174 | + | 0.317751i | ||||
\(29\) | 5.17926 | 0.961765 | 0.480882 | − | 0.876785i | \(-0.340316\pi\) | ||||
0.480882 | + | 0.876785i | \(0.340316\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.81745 | + | 6.61201i | 0.685634 | + | 1.18755i | 0.973237 | + | 0.229803i | \(0.0738082\pi\) |
−0.287603 | + | 0.957750i | \(0.592858\pi\) | |||||||
\(32\) | 4.47846 | + | 3.45592i | 0.791688 | + | 0.610926i | ||||
\(33\) | 1.70772 | + | 0.985953i | 0.297276 | + | 0.171632i | ||||
\(34\) | −1.04948 | + | 1.71050i | −0.179985 | + | 0.293349i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.23142 | − | 4.39127i | −0.371904 | − | 0.731878i | ||||
\(37\) | −2.23990 | + | 3.87963i | −0.368238 | + | 0.637806i | −0.989290 | − | 0.145963i | \(-0.953372\pi\) |
0.621052 | + | 0.783769i | \(0.286705\pi\) | |||||||
\(38\) | 0.121890 | − | 4.55962i | 0.0197732 | − | 0.739669i | ||||
\(39\) | 2.50787 | − | 1.44792i | 0.401581 | − | 0.231853i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.325509i | 0.0508359i | 0.999677 | + | 0.0254180i | \(0.00809166\pi\) | ||||
−0.999677 | + | 0.0254180i | \(0.991908\pi\) | |||||||
\(42\) | −0.801566 | + | 2.62252i | −0.123684 | + | 0.404663i | ||||
\(43\) | 9.28165i | 1.41544i | 0.706494 | + | 0.707719i | \(0.250276\pi\) | ||||
−0.706494 | + | 0.707719i | \(0.749724\pi\) | |||||||
\(44\) | −0.287494 | + | 5.37338i | −0.0433413 | + | 0.810067i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.94469 | + | 0.185649i | 1.02394 | + | 0.0273725i | ||||
\(47\) | 3.28287 | − | 5.68610i | 0.478856 | − | 0.829403i | −0.520850 | − | 0.853648i | \(-0.674385\pi\) |
0.999706 | + | 0.0242453i | \(0.00771827\pi\) | |||||||
\(48\) | −1.72834 | + | 2.36796i | −0.249465 | + | 0.341786i | ||||
\(49\) | −6.11811 | + | 3.40128i | −0.874016 | + | 0.485898i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.900672 | − | 0.520003i | −0.126119 | − | 0.0728150i | ||||
\(52\) | 6.62277 | + | 4.31117i | 0.918412 | + | 0.597851i | ||||
\(53\) | 0.807955 | + | 1.39942i | 0.110981 | + | 0.192225i | 0.916166 | − | 0.400799i | \(-0.131267\pi\) |
−0.805185 | + | 0.593024i | \(0.797934\pi\) | |||||||
\(54\) | 4.97748 | − | 2.69903i | 0.677349 | − | 0.367292i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −7.37094 | + | 1.29197i | −0.984984 | + | 0.172647i | ||||
\(57\) | 2.36383 | 0.313097 | ||||||||
\(58\) | −6.43888 | + | 3.49147i | −0.845466 | + | 0.458453i | ||||
\(59\) | 3.81745 | + | 6.61201i | 0.496989 | + | 0.860811i | 0.999994 | − | 0.00347297i | \(-0.00110548\pi\) |
−0.503005 | + | 0.864284i | \(0.667772\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.3842 | + | 7.15003i | 1.58564 | + | 0.915467i | 0.994014 | + | 0.109252i | \(0.0348455\pi\) |
0.591622 | + | 0.806215i | \(0.298488\pi\) | |||||||
\(62\) | −9.20319 | − | 5.64664i | −1.16881 | − | 0.717124i | ||||
\(63\) | 6.28018 | + | 1.73744i | 0.791229 | + | 0.218897i | ||||
\(64\) | −7.89736 | − | 1.27737i | −0.987170 | − | 0.159671i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −2.78770 | − | 0.0745223i | −0.343142 | − | 0.00917306i | ||||
\(67\) | −2.62109 | + | 1.51329i | −0.320218 | + | 0.184878i | −0.651490 | − | 0.758658i | \(-0.725856\pi\) |
0.331272 | + | 0.943535i | \(0.392522\pi\) | |||||||
\(68\) | 0.151627 | − | 2.83398i | 0.0183875 | − | 0.343671i | ||||
\(69\) | 3.60032i | 0.433427i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 15.4089i | 1.82870i | 0.404922 | + | 0.914351i | \(0.367299\pi\) | ||||
−0.404922 | + | 0.914351i | \(0.632701\pi\) | |||||||
\(72\) | 5.73438 | + | 3.95498i | 0.675803 | + | 0.466099i | ||||
\(73\) | 1.22891 | − | 0.709509i | 0.143833 | − | 0.0830418i | −0.426357 | − | 0.904555i | \(-0.640203\pi\) |
0.570189 | + | 0.821513i | \(0.306870\pi\) | |||||||
\(74\) | 0.169301 | − | 6.33314i | 0.0196808 | − | 0.736212i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.92222 | + | 5.75071i | 0.335202 | + | 0.659652i | ||||
\(77\) | −4.99257 | − | 5.07415i | −0.568956 | − | 0.578253i | ||||
\(78\) | −2.14171 | + | 3.49068i | −0.242501 | + | 0.395241i | ||||
\(79\) | −10.5765 | − | 6.10637i | −1.18995 | − | 0.687021i | −0.231659 | − | 0.972797i | \(-0.574415\pi\) |
−0.958296 | + | 0.285776i | \(0.907749\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.22709 | − | 3.85743i | −0.247454 | − | 0.428604i | ||||
\(82\) | −0.219434 | − | 0.404674i | −0.0242324 | − | 0.0446887i | ||||
\(83\) | −5.26172 | −0.577549 | −0.288774 | − | 0.957397i | \(-0.593248\pi\) | ||||
−0.288774 | + | 0.957397i | \(0.593248\pi\) | |||||||
\(84\) | −0.771396 | − | 3.80068i | −0.0841662 | − | 0.414688i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −6.25699 | − | 11.5390i | −0.674709 | − | 1.24428i | ||||
\(87\) | −1.89795 | − | 3.28735i | −0.203482 | − | 0.352441i | ||||
\(88\) | −3.26492 | − | 6.87401i | −0.348041 | − | 0.732772i | ||||
\(89\) | −4.10930 | − | 2.37250i | −0.435585 | − | 0.251485i | 0.266138 | − | 0.963935i | \(-0.414252\pi\) |
−0.701723 | + | 0.712450i | \(0.747586\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −10.1192 | + | 2.62373i | −1.06078 | + | 0.275041i | ||||
\(92\) | −8.75882 | + | 4.45079i | −0.913170 | + | 0.464027i | ||||
\(93\) | 2.79783 | − | 4.84598i | 0.290121 | − | 0.502505i | ||||
\(94\) | −0.248133 | + | 9.28205i | −0.0255929 | + | 0.957370i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.552378 | − | 4.10898i | 0.0563768 | − | 0.419371i | ||||
\(97\) | 8.35134i | 0.847950i | 0.905674 | + | 0.423975i | \(0.139366\pi\) | ||||
−0.905674 | + | 0.423975i | \(0.860634\pi\) | |||||||
\(98\) | 5.31316 | − | 8.35286i | 0.536711 | − | 0.843766i | ||||
\(99\) | 6.62638i | 0.665976i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.241927 | + | 0.139677i | −0.0240727 | + | 0.0138984i | −0.511988 | − | 0.858993i | \(-0.671091\pi\) |
0.487915 | + | 0.872891i | \(0.337757\pi\) | |||||||
\(102\) | 1.47027 | + | 0.0393039i | 0.145578 | + | 0.00389167i | ||||
\(103\) | 6.70030 | − | 11.6053i | 0.660200 | − | 1.14350i | −0.320362 | − | 0.947295i | \(-0.603805\pi\) |
0.980563 | − | 0.196206i | \(-0.0628620\pi\) | |||||||
\(104\) | −11.1397 | − | 0.895084i | −1.09234 | − | 0.0877703i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.94784 | − | 1.19510i | −0.189191 | − | 0.116078i | ||||
\(107\) | 4.70160 | + | 2.71447i | 0.454521 | + | 0.262418i | 0.709738 | − | 0.704466i | \(-0.248813\pi\) |
−0.255217 | + | 0.966884i | \(0.582147\pi\) | |||||||
\(108\) | −4.36853 | + | 6.71089i | −0.420362 | + | 0.645756i | ||||
\(109\) | 4.45851 | + | 7.72237i | 0.427048 | + | 0.739669i | 0.996609 | − | 0.0822798i | \(-0.0262201\pi\) |
−0.569561 | + | 0.821949i | \(0.692887\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.28327 | 0.311634 | ||||||||
\(112\) | 8.29263 | − | 6.57512i | 0.783580 | − | 0.621291i | ||||
\(113\) | −1.05161 | −0.0989268 | −0.0494634 | − | 0.998776i | \(-0.515751\pi\) | ||||
−0.0494634 | + | 0.998776i | \(0.515751\pi\) | |||||||
\(114\) | −2.93873 | + | 1.59352i | −0.275237 | + | 0.149247i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 5.65114 | − | 8.68122i | 0.524695 | − | 0.806031i | ||||
\(117\) | 8.42743 | + | 4.86558i | 0.779116 | + | 0.449823i | ||||
\(118\) | −9.20319 | − | 5.64664i | −0.847222 | − | 0.519815i | ||||
\(119\) | 2.63314 | + | 2.67617i | 0.241379 | + | 0.245324i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.88052 | + | 3.25715i | −0.170956 | + | 0.296105i | ||||
\(122\) | −20.2161 | − | 0.540428i | −1.83028 | − | 0.0489280i | ||||
\(123\) | 0.206605 | − | 0.119284i | 0.0186290 | − | 0.0107554i | ||||
\(124\) | 15.2480 | + | 0.815817i | 1.36931 | + | 0.0732626i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −8.97880 | + | 2.07364i | −0.799895 | + | 0.184734i | ||||
\(127\) | 1.71773i | 0.152424i | 0.997092 | + | 0.0762121i | \(0.0242826\pi\) | ||||
−0.997092 | + | 0.0762121i | \(0.975717\pi\) | |||||||
\(128\) | 10.6791 | − | 3.73579i | 0.943911 | − | 0.330200i | ||||
\(129\) | 5.89120 | − | 3.40128i | 0.518691 | − | 0.299466i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.07173 | − | 12.2486i | 0.617860 | − | 1.07016i | −0.372016 | − | 0.928226i | \(-0.621333\pi\) |
0.989876 | − | 0.141938i | \(-0.0453335\pi\) | |||||||
\(132\) | 3.51591 | − | 1.78661i | 0.306021 | − | 0.155505i | ||||
\(133\) | −8.22439 | − | 2.27531i | −0.713145 | − | 0.197295i | ||||
\(134\) | 2.23841 | − | 3.64827i | 0.193369 | − | 0.315163i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.72196 | + | 3.62543i | 0.147657 | + | 0.310878i | ||||
\(137\) | −7.43551 | − | 12.8787i | −0.635259 | − | 1.10030i | −0.986460 | − | 0.164000i | \(-0.947560\pi\) |
0.351202 | − | 0.936300i | \(-0.385773\pi\) | |||||||
\(138\) | −2.42707 | − | 4.47593i | −0.206606 | − | 0.381016i | ||||
\(139\) | 7.06762 | 0.599468 | 0.299734 | − | 0.954023i | \(-0.403102\pi\) | ||||
0.299734 | + | 0.954023i | \(0.403102\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.81207 | −0.405249 | ||||||||
\(142\) | −10.3875 | − | 19.1564i | −0.871703 | − | 1.60757i | ||||
\(143\) | −5.31538 | − | 9.20652i | −0.444495 | − | 0.769888i | ||||
\(144\) | −9.79516 | − | 1.05116i | −0.816263 | − | 0.0875963i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −1.04948 | + | 1.71050i | −0.0868557 | + | 0.141562i | ||||
\(147\) | 4.40084 | + | 2.63684i | 0.362975 | + | 0.217483i | ||||
\(148\) | 4.05885 | + | 7.98751i | 0.333636 | + | 0.656569i | ||||
\(149\) | 4.39289 | − | 7.60870i | 0.359879 | − | 0.623329i | −0.628061 | − | 0.778164i | \(-0.716151\pi\) |
0.987940 | + | 0.154835i | \(0.0494846\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.260095 | − | 0.150166i | 0.0211663 | − | 0.0122204i | −0.489380 | − | 0.872071i | \(-0.662777\pi\) |
0.510546 | + | 0.859851i | \(0.329443\pi\) | |||||||
\(152\) | −7.50962 | − | 5.17936i | −0.609110 | − | 0.420101i | ||||
\(153\) | − | 3.49483i | − | 0.282540i | ||||||
\(154\) | 9.62739 | + | 2.94259i | 0.775797 | + | 0.237121i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.309431 | − | 5.78341i | 0.0247743 | − | 0.463043i | ||||
\(157\) | 16.6579 | − | 9.61742i | 1.32944 | − | 0.767553i | 0.344228 | − | 0.938886i | \(-0.388141\pi\) |
0.985213 | + | 0.171333i | \(0.0548073\pi\) | |||||||
\(158\) | 17.2653 | + | 0.461544i | 1.37355 | + | 0.0367185i | ||||
\(159\) | 0.592155 | − | 1.02564i | 0.0469609 | − | 0.0813387i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.46550 | − | 12.5264i | 0.273119 | − | 0.987221i | ||||
\(162\) | 5.36912 | + | 3.29424i | 0.421838 | + | 0.258820i | ||||
\(163\) | 9.28306 | + | 5.35958i | 0.727105 | + | 0.419795i | 0.817362 | − | 0.576124i | \(-0.195435\pi\) |
−0.0902569 | + | 0.995919i | \(0.528769\pi\) | |||||||
\(164\) | 0.545602 | + | 0.355166i | 0.0426043 | + | 0.0277338i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.54139 | − | 3.54706i | 0.507710 | − | 0.275305i | ||||
\(167\) | 13.2256 | 1.02343 | 0.511715 | − | 0.859155i | \(-0.329010\pi\) | ||||
0.511715 | + | 0.859155i | \(0.329010\pi\) | |||||||
\(168\) | 3.52114 | + | 4.20500i | 0.271661 | + | 0.324423i | ||||
\(169\) | −2.61180 | −0.200908 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.97171 | + | 6.87920i | 0.303724 | + | 0.526065i | ||||
\(172\) | 15.5574 | + | 10.1273i | 1.18624 | + | 0.772199i | ||||
\(173\) | −9.74632 | − | 5.62704i | −0.740999 | − | 0.427816i | 0.0814335 | − | 0.996679i | \(-0.474050\pi\) |
−0.822432 | + | 0.568863i | \(0.807384\pi\) | |||||||
\(174\) | 4.57563 | + | 2.80739i | 0.346878 | + | 0.212828i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 8.69290 | + | 6.34483i | 0.655252 | + | 0.478259i | ||||
\(177\) | 2.79783 | − | 4.84598i | 0.210298 | − | 0.364246i | ||||
\(178\) | 6.70806 | + | 0.179323i | 0.502790 | + | 0.0134409i | ||||
\(179\) | 0.697992 | − | 0.402986i | 0.0521703 | − | 0.0301206i | −0.473688 | − | 0.880693i | \(-0.657078\pi\) |
0.525858 | + | 0.850572i | \(0.323744\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 0.0667108i | − | 0.00495857i | −0.999997 | − | 0.00247929i | \(-0.999211\pi\) | ||
0.999997 | − | 0.00247929i | \(-0.000789182\pi\) | |||||||
\(182\) | 10.8115 | − | 10.0835i | 0.801404 | − | 0.747435i | ||||
\(183\) | − | 10.4806i | − | 0.774747i | ||||||
\(184\) | 7.88860 | − | 11.4378i | 0.581555 | − | 0.843205i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.211471 | + | 7.91062i | −0.0155058 | + | 0.580035i | ||||
\(187\) | −1.90896 | + | 3.30641i | −0.139597 | + | 0.241789i | ||||
\(188\) | −5.94878 | − | 11.7067i | −0.433860 | − | 0.853802i | ||||
\(189\) | −2.65864 | − | 10.2539i | −0.193388 | − | 0.745859i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −15.1210 | − | 8.73010i | −1.09412 | − | 0.631688i | −0.159446 | − | 0.987207i | \(-0.550971\pi\) |
−0.934669 | + | 0.355519i | \(0.884304\pi\) | |||||||
\(192\) | 2.08325 | + | 5.48067i | 0.150345 | + | 0.395533i | ||||
\(193\) | −8.59835 | − | 14.8928i | −0.618923 | − | 1.07201i | −0.989683 | − | 0.143277i | \(-0.954236\pi\) |
0.370760 | − | 0.928729i | \(-0.379097\pi\) | |||||||
\(194\) | −5.62985 | − | 10.3824i | −0.404200 | − | 0.745414i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.974468 | + | 13.9660i | −0.0696049 | + | 0.997575i | ||||
\(197\) | −11.9392 | −0.850635 | −0.425318 | − | 0.905044i | \(-0.639838\pi\) | ||||
−0.425318 | + | 0.905044i | \(0.639838\pi\) | |||||||
\(198\) | −4.46701 | − | 8.23793i | −0.317457 | − | 0.585445i | ||||
\(199\) | −7.76016 | − | 13.4410i | −0.550103 | − | 0.952807i | −0.998267 | − | 0.0588552i | \(-0.981255\pi\) |
0.448163 | − | 0.893952i | \(-0.352078\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.92101 | + | 1.10910i | 0.135498 | + | 0.0782297i | ||||
\(202\) | 0.206605 | − | 0.336736i | 0.0145367 | − | 0.0236927i | ||||
\(203\) | 3.43922 | + | 13.2644i | 0.241386 | + | 0.930980i | ||||
\(204\) | −1.85433 | + | 0.942281i | −0.129829 | + | 0.0659728i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.506436 | + | 18.9445i | −0.0352850 | + | 1.31993i | ||||
\(207\) | −10.4776 | + | 6.04924i | −0.728243 | + | 0.420452i | ||||
\(208\) | 14.4523 | − | 6.39679i | 1.00209 | − | 0.443538i | ||||
\(209\) | − | 8.67775i | − | 0.600253i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 14.1636i | − | 0.975063i | −0.873105 | − | 0.487531i | \(-0.837897\pi\) | ||
0.873105 | − | 0.487531i | \(-0.162103\pi\) | |||||||
\(212\) | 3.22720 | + | 0.172666i | 0.221645 | + | 0.0118588i | ||||
\(213\) | 9.78027 | − | 5.64664i | 0.670133 | − | 0.386901i | ||||
\(214\) | −7.67494 | − | 0.205171i | −0.524648 | − | 0.0140252i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0.906994 | − | 11.2879i | 0.0617132 | − | 0.768047i | ||||
\(217\) | −14.3989 | + | 14.1674i | −0.977459 | + | 0.961742i | ||||
\(218\) | −10.7487 | − | 6.59488i | −0.727993 | − | 0.446662i | ||||
\(219\) | −0.900672 | − | 0.520003i | −0.0608618 | − | 0.0351385i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.80340 | + | 4.85563i | 0.188577 | + | 0.326625i | ||||
\(222\) | −4.08178 | + | 2.21334i | −0.273951 | + | 0.148550i | ||||
\(223\) | −3.03443 | −0.203201 | −0.101600 | − | 0.994825i | \(-0.532396\pi\) | ||||
−0.101600 | + | 0.994825i | \(0.532396\pi\) | |||||||
\(224\) | −5.87697 | + | 13.7645i | −0.392672 | + | 0.919679i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.30736 | − | 0.708914i | 0.0869643 | − | 0.0471563i | ||||
\(227\) | −7.38839 | − | 12.7971i | −0.490385 | − | 0.849371i | 0.509554 | − | 0.860439i | \(-0.329810\pi\) |
−0.999939 | + | 0.0110676i | \(0.996477\pi\) | |||||||
\(228\) | 2.57920 | − | 3.96214i | 0.170812 | − | 0.262399i | ||||
\(229\) | 5.56933 | + | 3.21545i | 0.368031 | + | 0.212483i | 0.672598 | − | 0.740008i | \(-0.265178\pi\) |
−0.304567 | + | 0.952491i | \(0.598512\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.39110 | + | 5.02829i | −0.0915277 | + | 0.330837i | ||||
\(232\) | −1.17329 | + | 14.6021i | −0.0770303 | + | 0.958675i | ||||
\(233\) | −8.73532 | + | 15.1300i | −0.572270 | + | 0.991201i | 0.424062 | + | 0.905633i | \(0.360604\pi\) |
−0.996332 | + | 0.0855677i | \(0.972730\pi\) | |||||||
\(234\) | −13.7570 | − | 0.367760i | −0.899324 | − | 0.0240412i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 15.2480 | + | 0.815817i | 0.992559 | + | 0.0531052i | ||||
\(237\) | 8.95079i | 0.581416i | ||||||||
\(238\) | −5.07760 | − | 1.55196i | −0.329132 | − | 0.100598i | ||||
\(239\) | 3.22490i | 0.208601i | 0.994546 | + | 0.104301i | \(0.0332604\pi\) | ||||
−0.994546 | + | 0.104301i | \(0.966740\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −17.7424 | + | 10.2436i | −1.14289 | + | 0.659848i | −0.947145 | − | 0.320807i | \(-0.896046\pi\) |
−0.195745 | + | 0.980655i | \(0.562713\pi\) | |||||||
\(242\) | 0.142137 | − | 5.31701i | 0.00913692 | − | 0.341790i | ||||
\(243\) | −7.63787 | + | 13.2292i | −0.489970 | + | 0.848653i | ||||
\(244\) | 25.4971 | − | 12.9563i | 1.63228 | − | 0.829444i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.176440 | + | 0.287572i | −0.0112494 | + | 0.0183349i | ||||
\(247\) | −11.0364 | − | 6.37185i | −0.702227 | − | 0.405431i | ||||
\(248\) | −19.5063 | + | 9.26482i | −1.23865 | + | 0.588317i | ||||
\(249\) | 1.92817 | + | 3.33969i | 0.122193 | + | 0.211644i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 15.1647 | 0.957189 | 0.478594 | − | 0.878036i | \(-0.341146\pi\) | ||||
0.478594 | + | 0.878036i | \(0.341146\pi\) | |||||||
\(252\) | 9.76458 | − | 8.63079i | 0.615111 | − | 0.543689i | ||||
\(253\) | 13.2170 | 0.830943 | ||||||||
\(254\) | −1.15797 | − | 2.13549i | −0.0726574 | − | 0.133993i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.7579 | + | 11.8434i | −0.672372 | + | 0.740214i | ||||
\(257\) | −4.09764 | − | 2.36577i | −0.255604 | − | 0.147573i | 0.366724 | − | 0.930330i | \(-0.380479\pi\) |
−0.622327 | + | 0.782757i | \(0.713813\pi\) | |||||||
\(258\) | −5.03106 | + | 8.19989i | −0.313220 | + | 0.510503i | ||||
\(259\) | −11.4234 | − | 3.16032i | −0.709813 | − | 0.196373i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.37787 | − | 11.0468i | 0.394780 | − | 0.683780i | ||||
\(262\) | −0.534510 | + | 19.9947i | −0.0330221 | + | 1.23528i | ||||
\(263\) | 4.07068 | − | 2.35021i | 0.251009 | − | 0.144920i | −0.369217 | − | 0.929343i | \(-0.620374\pi\) |
0.620226 | + | 0.784423i | \(0.287041\pi\) | |||||||
\(264\) | −3.16660 | + | 4.59129i | −0.194891 | + | 0.282574i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 11.7584 | − | 2.71559i | 0.720956 | − | 0.166503i | ||||
\(267\) | 3.47764i | 0.212828i | ||||||||
\(268\) | −0.323401 | + | 6.04451i | −0.0197549 | + | 0.369227i | ||||
\(269\) | −21.2532 | + | 12.2706i | −1.29583 | + | 0.748149i | −0.979682 | − | 0.200559i | \(-0.935724\pi\) |
−0.316151 | + | 0.948709i | \(0.602391\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.1957 | − | 22.8556i | 0.801582 | − | 1.38838i | −0.116993 | − | 0.993133i | \(-0.537325\pi\) |
0.918574 | − | 0.395248i | \(-0.129341\pi\) | |||||||
\(272\) | −4.58474 | − | 3.34634i | −0.277991 | − | 0.202902i | ||||
\(273\) | 5.37353 | + | 5.46135i | 0.325221 | + | 0.330536i | ||||
\(274\) | 17.9257 | + | 10.9984i | 1.08293 | + | 0.664435i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.03468 | + | 3.92834i | 0.363245 | + | 0.236458i | ||||
\(277\) | −12.0350 | − | 20.8453i | −0.723115 | − | 1.25247i | −0.959745 | − | 0.280872i | \(-0.909376\pi\) |
0.236630 | − | 0.971600i | \(-0.423957\pi\) | |||||||
\(278\) | −8.78649 | + | 4.76446i | −0.526979 | + | 0.285753i | ||||
\(279\) | 18.8036 | 1.12574 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.78577 | −0.464460 | −0.232230 | − | 0.972661i | \(-0.574602\pi\) | ||||
−0.232230 | + | 0.972661i | \(0.574602\pi\) | |||||||
\(282\) | 5.98238 | − | 3.24394i | 0.356245 | − | 0.193174i | ||||
\(283\) | 3.97529 | + | 6.88540i | 0.236306 | + | 0.409294i | 0.959651 | − | 0.281192i | \(-0.0907298\pi\) |
−0.723345 | + | 0.690487i | \(0.757396\pi\) | |||||||
\(284\) | 25.8277 | + | 16.8128i | 1.53259 | + | 0.997657i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 12.8145 | + | 7.86234i | 0.757734 | + | 0.464910i | ||||
\(287\) | −0.833649 | + | 0.216150i | −0.0492088 | + | 0.0127589i | ||||
\(288\) | 12.8860 | − | 5.29637i | 0.759314 | − | 0.312091i | ||||
\(289\) | −7.49319 | + | 12.9786i | −0.440776 | + | 0.763447i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.30071 | − | 3.06037i | 0.310733 | − | 0.179402i | ||||
\(292\) | 0.151627 | − | 2.83398i | 0.00887333 | − | 0.165846i | ||||
\(293\) | 2.11501i | 0.123560i | 0.998090 | + | 0.0617801i | \(0.0196777\pi\) | ||||
−0.998090 | + | 0.0617801i | \(0.980322\pi\) | |||||||
\(294\) | −7.24871 | − | 0.311415i | −0.422753 | − | 0.0181621i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −10.4306 | − | 7.19392i | −0.606264 | − | 0.418138i | ||||
\(297\) | 9.32902 | − | 5.38611i | 0.541325 | − | 0.312534i | ||||
\(298\) | −0.332032 | + | 12.4205i | −0.0192341 | + | 0.719501i | ||||
\(299\) | 9.70487 | − | 16.8093i | 0.561247 | − | 0.972108i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −23.7709 | + | 6.16335i | −1.37013 | + | 0.355250i | ||||
\(302\) | −0.222121 | + | 0.362024i | −0.0127816 | + | 0.0208321i | ||||
\(303\) | 0.177310 | + | 0.102370i | 0.0101862 | + | 0.00588100i | ||||
\(304\) | 12.8275 | + | 1.37657i | 0.735709 | + | 0.0789517i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 2.35595 | + | 4.34478i | 0.134681 | + | 0.248375i | ||||
\(307\) | 18.6560 | 1.06475 | 0.532376 | − | 0.846508i | \(-0.321299\pi\) | ||||
0.532376 | + | 0.846508i | \(0.321299\pi\) | |||||||
\(308\) | −13.9525 | + | 2.83183i | −0.795016 | + | 0.161359i | ||||
\(309\) | −9.82137 | −0.558718 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −4.09153 | − | 7.08673i | −0.232009 | − | 0.401852i | 0.726390 | − | 0.687283i | \(-0.241197\pi\) |
−0.958399 | + | 0.285431i | \(0.907863\pi\) | |||||||
\(312\) | 3.51405 | + | 7.39855i | 0.198944 | + | 0.418860i | ||||
\(313\) | 20.2427 | + | 11.6871i | 1.14419 | + | 0.660597i | 0.947464 | − | 0.319863i | \(-0.103637\pi\) |
0.196723 | + | 0.980459i | \(0.436970\pi\) | |||||||
\(314\) | −14.2258 | + | 23.1859i | −0.802806 | + | 1.30846i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −21.7754 | + | 11.0652i | −1.22496 | + | 0.622464i | ||||
\(317\) | −13.1039 | + | 22.6966i | −0.735988 | + | 1.27477i | 0.218300 | + | 0.975882i | \(0.429949\pi\) |
−0.954288 | + | 0.298887i | \(0.903385\pi\) | |||||||
\(318\) | −0.0447574 | + | 1.67427i | −0.00250987 | + | 0.0938883i | ||||
\(319\) | −12.0680 | + | 6.96749i | −0.675680 | + | 0.390104i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 3.97890i | − | 0.222081i | ||||||
\(322\) | 4.13607 | + | 17.9091i | 0.230494 | + | 0.998034i | ||||
\(323\) | 4.57675i | 0.254657i | ||||||||
\(324\) | −8.89563 | − | 0.475946i | −0.494202 | − | 0.0264414i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −15.1538 | − | 0.405098i | −0.839289 | − | 0.0224363i | ||||
\(327\) | 3.26767 | − | 5.65977i | 0.180702 | − | 0.312986i | ||||
\(328\) | −0.917720 | − | 0.0737395i | −0.0506726 | − | 0.00407158i | ||||
\(329\) | 16.7424 | + | 4.63187i | 0.923039 | + | 0.255363i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.9060 | − | 9.76067i | −0.929237 | − | 0.536495i | −0.0426665 | − | 0.999089i | \(-0.513585\pi\) |
−0.886570 | + | 0.462594i | \(0.846919\pi\) | |||||||
\(332\) | −5.74111 | + | 8.81943i | −0.315085 | + | 0.484029i | ||||
\(333\) | 5.51654 | + | 9.55493i | 0.302305 | + | 0.523607i | ||||
\(334\) | −16.4422 | + | 8.91574i | −0.899675 | + | 0.487848i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −7.21218 | − | 2.85398i | −0.393457 | − | 0.155697i | ||||
\(337\) | 31.7520 | 1.72964 | 0.864820 | − | 0.502082i | \(-0.167433\pi\) | ||||
0.864820 | + | 0.502082i | \(0.167433\pi\) | |||||||
\(338\) | 3.24700 | − | 1.76068i | 0.176614 | − | 0.0957684i | ||||
\(339\) | 0.385364 | + | 0.667470i | 0.0209301 | + | 0.0362520i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −17.7898 | − | 10.2710i | −0.963373 | − | 0.556204i | ||||
\(342\) | −9.57508 | − | 5.87481i | −0.517761 | − | 0.317674i | ||||
\(343\) | −12.7736 | − | 13.4103i | −0.689707 | − | 0.724088i | ||||
\(344\) | −26.1681 | − | 2.10263i | −1.41089 | − | 0.113366i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 15.9100 | + | 0.425314i | 0.855326 | + | 0.0228650i | ||||
\(347\) | −15.9212 | + | 9.19210i | −0.854694 | + | 0.493458i | −0.862232 | − | 0.506514i | \(-0.830934\pi\) |
0.00753782 | + | 0.999972i | \(0.497601\pi\) | |||||||
\(348\) | −7.58097 | − | 0.405607i | −0.406383 | − | 0.0217428i | ||||
\(349\) | 2.37390i | 0.127072i | 0.997980 | + | 0.0635360i | \(0.0202378\pi\) | ||||
−0.997980 | + | 0.0635360i | \(0.979762\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 15.8195i | − | 0.844384i | ||||||
\(352\) | −15.0843 | − | 2.02781i | −0.803994 | − | 0.108082i | ||||
\(353\) | 1.86560 | − | 1.07710i | 0.0992958 | − | 0.0573284i | −0.449530 | − | 0.893265i | \(-0.648408\pi\) |
0.548826 | + | 0.835937i | \(0.315075\pi\) | |||||||
\(354\) | −0.211471 | + | 7.91062i | −0.0112396 | + | 0.420445i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −8.46037 | + | 4.29914i | −0.448399 | + | 0.227854i | ||||
\(357\) | 0.733682 | − | 2.65198i | 0.0388306 | − | 0.140358i | ||||
\(358\) | −0.596083 | + | 0.971527i | −0.0315039 | + | 0.0513468i | ||||
\(359\) | 4.40004 | + | 2.54037i | 0.232225 | + | 0.134075i | 0.611598 | − | 0.791168i | \(-0.290527\pi\) |
−0.379373 | + | 0.925244i | \(0.623860\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.29874 | + | 7.44564i | 0.226250 | + | 0.391876i | ||||
\(362\) | 0.0449714 | + | 0.0829350i | 0.00236364 | + | 0.00435897i | ||||
\(363\) | 2.75648 | 0.144678 | ||||||||
\(364\) | −6.64342 | + | 19.8241i | −0.348210 | + | 1.03907i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 7.06523 | + | 13.0295i | 0.369306 | + | 0.681063i | ||||
\(367\) | −6.77267 | − | 11.7306i | −0.353530 | − | 0.612333i | 0.633335 | − | 0.773878i | \(-0.281686\pi\) |
−0.986865 | + | 0.161545i | \(0.948352\pi\) | |||||||
\(368\) | −2.09663 | + | 19.5374i | −0.109295 | + | 1.01846i | ||||
\(369\) | 0.694275 | + | 0.400840i | 0.0361425 | + | 0.0208669i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.04749 | + | 2.99849i | −0.158218 | + | 0.155674i | ||||
\(372\) | −5.06985 | − | 9.97707i | −0.262860 | − | 0.517287i | ||||
\(373\) | −3.56700 | + | 6.17822i | −0.184692 | + | 0.319896i | −0.943473 | − | 0.331450i | \(-0.892462\pi\) |
0.758781 | + | 0.651346i | \(0.225795\pi\) | |||||||
\(374\) | 0.144287 | − | 5.39742i | 0.00746089 | − | 0.279094i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 15.2874 | + | 10.5436i | 0.788386 | + | 0.543747i | ||||
\(377\) | 20.4642i | 1.05396i | ||||||||
\(378\) | 10.2176 | + | 10.9554i | 0.525538 | + | 0.563484i | ||||
\(379\) | − | 16.2436i | − | 0.834379i | −0.908820 | − | 0.417189i | \(-0.863015\pi\) | ||
0.908820 | − | 0.417189i | \(-0.136985\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.09027 | − | 0.629468i | 0.0558562 | − | 0.0322486i | ||||
\(382\) | 24.6836 | + | 0.659856i | 1.26292 | + | 0.0337612i | ||||
\(383\) | 4.94358 | − | 8.56254i | 0.252605 | − | 0.437525i | −0.711637 | − | 0.702547i | \(-0.752046\pi\) |
0.964242 | + | 0.265022i | \(0.0853793\pi\) | |||||||
\(384\) | −6.28456 | − | 5.40921i | −0.320707 | − | 0.276038i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 20.7291 | + | 12.7184i | 1.05508 | + | 0.647349i | ||||
\(387\) | 19.7967 | + | 11.4296i | 1.00632 | + | 0.581002i | ||||
\(388\) | 13.9981 | + | 9.11222i | 0.710645 | + | 0.462603i | ||||
\(389\) | −15.9811 | − | 27.6802i | −0.810276 | − | 1.40344i | −0.912671 | − | 0.408696i | \(-0.865984\pi\) |
0.102395 | − | 0.994744i | \(-0.467350\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.97078 | −0.352527 | ||||||||
\(392\) | −8.20340 | − | 18.0195i | −0.414334 | − | 0.910125i | ||||
\(393\) | −10.3658 | −0.522886 | ||||||||
\(394\) | 14.8429 | − | 8.04854i | 0.747774 | − | 0.405480i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 11.1068 | + | 7.23011i | 0.558138 | + | 0.363326i | ||||
\(397\) | 15.1344 | + | 8.73784i | 0.759573 | + | 0.438539i | 0.829142 | − | 0.559038i | \(-0.188829\pi\) |
−0.0695697 | + | 0.997577i | \(0.522163\pi\) | |||||||
\(398\) | 18.7084 | + | 11.4786i | 0.937766 | + | 0.575369i | ||||
\(399\) | 1.56967 | + | 6.05393i | 0.0785819 | + | 0.303076i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.67926 | − | 15.0329i | 0.433422 | − | 0.750708i | −0.563744 | − | 0.825950i | \(-0.690639\pi\) |
0.997165 | + | 0.0752415i | \(0.0239728\pi\) | |||||||
\(402\) | −3.13588 | − | 0.0838301i | −0.156404 | − | 0.00418106i | ||||
\(403\) | −26.1252 | + | 15.0834i | −1.30139 | + | 0.751358i | ||||
\(404\) | −0.0298500 | + | 0.557909i | −0.00148509 | + | 0.0277570i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −13.2175 | − | 14.1719i | −0.655975 | − | 0.703340i | ||||
\(407\) | − | 12.0531i | − | 0.597448i | ||||||
\(408\) | 1.67010 | − | 2.42150i | 0.0826823 | − | 0.119882i | ||||
\(409\) | −6.32187 | + | 3.64993i | −0.312596 | + | 0.180478i | −0.648088 | − | 0.761566i | \(-0.724431\pi\) |
0.335491 | + | 0.942043i | \(0.391098\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.44952 | + | 9.43885i | −0.268805 | + | 0.465584i | ||||
\(412\) | −12.1414 | − | 23.8933i | −0.598164 | − | 1.17714i | ||||
\(413\) | −14.3989 | + | 14.1674i | −0.708522 | + | 0.697130i | ||||
\(414\) | 8.94784 | − | 14.5837i | 0.439762 | − | 0.716748i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −13.6549 | + | 17.6952i | −0.669489 | + | 0.867578i | ||||
\(417\) | −2.58995 | − | 4.48592i | −0.126830 | − | 0.219677i | ||||
\(418\) | 5.84989 | + | 10.7882i | 0.286128 | + | 0.527669i | ||||
\(419\) | −17.9278 | −0.875831 | −0.437915 | − | 0.899016i | \(-0.644283\pi\) | ||||
−0.437915 | + | 0.899016i | \(0.644283\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.6334 | 0.615716 | 0.307858 | − | 0.951432i | \(-0.400388\pi\) | ||||
0.307858 | + | 0.951432i | \(0.400388\pi\) | |||||||
\(422\) | 9.54805 | + | 17.6082i | 0.464792 | + | 0.857156i | ||||
\(423\) | −8.08522 | − | 14.0040i | −0.393117 | − | 0.680898i | ||||
\(424\) | −4.12847 | + | 1.96088i | −0.200496 | + | 0.0952288i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −8.35232 | + | 13.6130i | −0.404671 | + | 0.659554i | ||||
\(427\) | −10.0881 | + | 36.4647i | −0.488198 | + | 1.76465i | ||||
\(428\) | 9.67983 | − | 4.91881i | 0.467892 | − | 0.237759i | ||||
\(429\) | −3.89567 | + | 6.74750i | −0.188085 | + | 0.325773i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 28.2962 | − | 16.3368i | 1.36298 | − | 0.786918i | 0.372962 | − | 0.927847i | \(-0.378342\pi\) |
0.990020 | + | 0.140929i | \(0.0450090\pi\) | |||||||
\(432\) | 6.48191 | + | 14.6446i | 0.311861 | + | 0.704590i | ||||
\(433\) | 23.5884i | 1.13359i | 0.823860 | + | 0.566794i | \(0.191816\pi\) | ||||
−0.823860 | + | 0.566794i | \(0.808184\pi\) | |||||||
\(434\) | 8.35015 | − | 27.3195i | 0.400820 | − | 1.31138i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 17.8086 | + | 0.952818i | 0.852877 | + | 0.0456317i | ||||
\(437\) | 13.7212 | − | 7.92195i | 0.656375 | − | 0.378958i | ||||
\(438\) | 1.47027 | + | 0.0393039i | 0.0702520 | + | 0.00187801i | ||||
\(439\) | 9.19501 | − | 15.9262i | 0.438854 | − | 0.760117i | −0.558748 | − | 0.829338i | \(-0.688718\pi\) |
0.997601 | + | 0.0692207i | \(0.0220513\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.279428 | + | 17.2377i | −0.0133061 | + | 0.820842i | ||||
\(442\) | −6.75849 | − | 4.14669i | −0.321469 | − | 0.197238i | ||||
\(443\) | −2.93092 | − | 1.69217i | −0.139252 | − | 0.0803973i | 0.428755 | − | 0.903421i | \(-0.358952\pi\) |
−0.568008 | + | 0.823023i | \(0.692286\pi\) | |||||||
\(444\) | 3.58241 | − | 5.50326i | 0.170014 | − | 0.261173i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 3.77242 | − | 2.04559i | 0.178629 | − | 0.0968614i | ||||
\(447\) | −6.43914 | −0.304561 | ||||||||
\(448\) | −1.97272 | − | 21.0739i | −0.0932025 | − | 0.995647i | ||||
\(449\) | 11.9013 | 0.561658 | 0.280829 | − | 0.959758i | \(-0.409391\pi\) | ||||
0.280829 | + | 0.959758i | \(0.409391\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.437896 | − | 0.758458i | −0.0206197 | − | 0.0357144i | ||||
\(452\) | −1.14742 | + | 1.76265i | −0.0539700 | + | 0.0829081i | ||||
\(453\) | −0.190625 | − | 0.110058i | −0.00895636 | − | 0.00517096i | ||||
\(454\) | 17.8121 | + | 10.9287i | 0.835963 | + | 0.512907i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −0.535494 | + | 6.66445i | −0.0250768 | + | 0.312092i | ||||
\(457\) | 10.5352 | − | 18.2475i | 0.492816 | − | 0.853582i | −0.507150 | − | 0.861858i | \(-0.669301\pi\) |
0.999966 | + | 0.00827601i | \(0.00263437\pi\) | |||||||
\(458\) | −9.09142 | − | 0.243037i | −0.424814 | − | 0.0113564i | ||||
\(459\) | −4.92023 | + | 2.84070i | −0.229657 | + | 0.132592i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 29.6708i | 1.38191i | 0.722899 | + | 0.690954i | \(0.242809\pi\) | ||||
−0.722899 | + | 0.690954i | \(0.757191\pi\) | |||||||
\(462\) | −1.66028 | − | 7.18897i | −0.0772432 | − | 0.334461i | ||||
\(463\) | − | 15.0481i | − | 0.699342i | −0.936873 | − | 0.349671i | \(-0.886293\pi\) | ||
0.936873 | − | 0.349671i | \(-0.113707\pi\) | |||||||
\(464\) | −8.38501 | − | 18.9443i | −0.389264 | − | 0.879468i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.660251 | − | 24.6984i | 0.0305855 | − | 1.14413i | ||||
\(467\) | 2.57299 | − | 4.45656i | 0.119064 | − | 0.206225i | −0.800333 | − | 0.599556i | \(-0.795344\pi\) |
0.919397 | + | 0.393331i | \(0.128677\pi\) | |||||||
\(468\) | 17.3507 | − | 8.81676i | 0.802036 | − | 0.407555i | ||||
\(469\) | −5.61614 | − | 5.70791i | −0.259329 | − | 0.263567i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −12.2086 | − | 7.04865i | −0.562544 | − | 0.324785i | ||||
\(472\) | −19.5063 | + | 9.26482i | −0.897850 | + | 0.426448i | ||||
\(473\) | −12.4863 | − | 21.6269i | −0.574120 | − | 0.994405i | ||||
\(474\) | −6.03395 | − | 11.1277i | −0.277149 | − | 0.511110i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 7.35870 | − | 1.49354i | 0.337286 | − | 0.0684564i | ||||
\(477\) | 3.97974 | 0.182220 | ||||||||
\(478\) | −2.17399 | − | 4.00921i | −0.0994358 | − | 0.183377i | ||||
\(479\) | 19.9783 | + | 34.6035i | 0.912834 | + | 1.58107i | 0.810042 | + | 0.586372i | \(0.199444\pi\) |
0.102792 | + | 0.994703i | \(0.467222\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.3291 | − | 8.85025i | −0.698946 | − | 0.403537i | ||||
\(482\) | 15.1520 | − | 24.6955i | 0.690153 | − | 1.12485i | ||||
\(483\) | −9.22065 | + | 2.39074i | −0.419554 | + | 0.108783i | ||||
\(484\) | 3.40763 | + | 6.70594i | 0.154892 | + | 0.304816i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.577301 | − | 21.5955i | 0.0261869 | − | 0.979590i | ||||
\(487\) | 10.5871 | − | 6.11246i | 0.479747 | − | 0.276982i | −0.240564 | − | 0.970633i | \(-0.577332\pi\) |
0.720311 | + | 0.693651i | \(0.243999\pi\) | |||||||
\(488\) | −22.9638 | + | 33.2956i | −1.03952 | + | 1.50722i | ||||
\(489\) | − | 7.85613i | − | 0.355266i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 22.9515i | 1.03579i | 0.855445 | + | 0.517894i | \(0.173284\pi\) | ||||
−0.855445 | + | 0.517894i | \(0.826716\pi\) | |||||||
\(492\) | 0.0254918 | − | 0.476453i | 0.00114926 | − | 0.0214802i | ||||
\(493\) | 6.36483 | − | 3.67473i | 0.286657 | − | 0.165502i | ||||
\(494\) | 18.0159 | + | 0.481610i | 0.810573 | + | 0.0216687i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 18.0047 | − | 24.6678i | 0.808433 | − | 1.10762i | ||||
\(497\) | −39.4632 | + | 10.2321i | −1.77017 | + | 0.458972i | ||||
\(498\) | −4.64848 | − | 2.85209i | −0.208303 | − | 0.127805i | ||||
\(499\) | −3.64376 | − | 2.10372i | −0.163117 | − | 0.0941756i | 0.416219 | − | 0.909264i | \(-0.363355\pi\) |
−0.579336 | + | 0.815089i | \(0.696688\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.84657 | − | 8.39451i | −0.216529 | − | 0.375039i | ||||
\(502\) | −18.8528 | + | 10.2229i | −0.841443 | + | 0.456272i | ||||
\(503\) | 43.1904 | 1.92576 | 0.962882 | − | 0.269924i | \(-0.0869987\pi\) | ||||
0.962882 | + | 0.269924i | \(0.0869987\pi\) | |||||||
\(504\) | −6.32113 | + | 17.3124i | −0.281565 | + | 0.771155i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −16.4314 | + | 8.90988i | −0.730463 | + | 0.396093i | ||||
\(507\) | 0.957101 | + | 1.65775i | 0.0425064 | + | 0.0736232i | ||||
\(508\) | 2.87918 | + | 1.87424i | 0.127743 | + | 0.0831558i | ||||
\(509\) | 32.3532 | + | 18.6791i | 1.43403 | + | 0.827937i | 0.997425 | − | 0.0717169i | \(-0.0228478\pi\) |
0.436604 | + | 0.899654i | \(0.356181\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.63314 | + | 2.67617i | 0.116483 | + | 0.118387i | ||||
\(512\) | 5.39037 | − | 21.9760i | 0.238223 | − | 0.971211i | ||||
\(513\) | 6.45664 | − | 11.1832i | 0.285067 | − | 0.493751i | ||||
\(514\) | 6.68903 | + | 0.178815i | 0.295040 | + | 0.00788717i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.726880 | − | 13.5857i | 0.0319991 | − | 0.598077i | ||||
\(517\) | 17.6653i | 0.776921i | ||||||||
\(518\) | 16.3320 | − | 3.77185i | 0.717587 | − | 0.165725i | ||||
\(519\) | 8.24817i | 0.362055i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.9610 | − | 8.06040i | 0.611643 | − | 0.353132i | −0.161965 | − | 0.986796i | \(-0.551783\pi\) |
0.773608 | + | 0.633664i | \(0.218450\pi\) | |||||||
\(522\) | −0.482065 | + | 18.0329i | −0.0210994 | + | 0.789279i | ||||
\(523\) | −7.98356 | + | 13.8279i | −0.349097 | + | 0.604653i | −0.986089 | − | 0.166217i | \(-0.946845\pi\) |
0.636993 | + | 0.770870i | \(0.280178\pi\) | |||||||
\(524\) | −12.8145 | − | 25.2178i | −0.559802 | − | 1.10165i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.47635 | + | 5.66594i | −0.151576 | + | 0.247047i | ||||
\(527\) | 9.38257 | + | 5.41703i | 0.408711 | + | 0.235969i | ||||
\(528\) | 0.841618 | − | 7.84259i | 0.0366267 | − | 0.341305i | ||||
\(529\) | 0.565805 | + | 0.980002i | 0.0246002 | + | 0.0426088i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.8036 | 0.816007 | ||||||||
\(532\) | −12.7875 | + | 11.3027i | −0.554407 | + | 0.490034i | ||||
\(533\) | −1.28614 | −0.0557090 | ||||||||
\(534\) | −2.34437 | − | 4.32342i | −0.101451 | − | 0.187092i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.67271 | − | 7.73257i | −0.158637 | − | 0.333996i | ||||
\(537\) | −0.511562 | − | 0.295350i | −0.0220755 | − | 0.0127453i | ||||
\(538\) | 18.1502 | − | 29.5822i | 0.782511 | − | 1.27538i | ||||
\(539\) | 9.67999 | − | 16.1557i | 0.416947 | − | 0.695876i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.31686 | − | 12.6732i | 0.314576 | − | 0.544862i | −0.664771 | − | 0.747047i | \(-0.731471\pi\) |
0.979347 | + | 0.202185i | \(0.0648042\pi\) | |||||||
\(542\) | −0.997384 | + | 37.3098i | −0.0428413 | + | 1.60259i | ||||
\(543\) | −0.0423423 | + | 0.0244463i | −0.00181708 | + | 0.00104909i | ||||
\(544\) | 7.95562 | + | 1.06949i | 0.341094 | + | 0.0458540i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −10.3620 | − | 3.16713i | −0.443454 | − | 0.135541i | ||||
\(547\) | − | 16.5936i | − | 0.709493i | −0.934963 | − | 0.354747i | \(-0.884567\pi\) | ||
0.934963 | − | 0.354747i | \(-0.115433\pi\) | |||||||
\(548\) | −29.6996 | − | 1.58902i | −1.26870 | − | 0.0678798i | ||||
\(549\) | 30.5005 | − | 17.6094i | 1.30173 | − | 0.751553i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −8.35232 | + | 14.4666i | −0.355821 | + | 0.616300i | ||||
\(552\) | −10.1505 | − | 0.815602i | −0.432035 | − | 0.0347143i | ||||
\(553\) | 8.61560 | − | 31.1421i | 0.366373 | − | 1.32430i | ||||
\(554\) | 29.0143 | + | 17.8018i | 1.23270 | + | 0.756327i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.71155 | − | 11.8464i | 0.327043 | − | 0.502399i | ||||
\(557\) | −12.3878 | − | 21.4562i | −0.524886 | − | 0.909129i | −0.999580 | − | 0.0289782i | \(-0.990775\pi\) |
0.474694 | − | 0.880151i | \(-0.342559\pi\) | |||||||
\(558\) | −23.3767 | + | 12.6760i | −0.989615 | + | 0.536617i | ||||
\(559\) | −36.6734 | −1.55112 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.79817 | 0.118139 | ||||||||
\(562\) | 9.67930 | − | 5.24859i | 0.408296 | − | 0.221398i | ||||
\(563\) | 11.9762 | + | 20.7434i | 0.504737 | + | 0.874230i | 0.999985 | + | 0.00547814i | \(0.00174376\pi\) |
−0.495248 | + | 0.868751i | \(0.664923\pi\) | |||||||
\(564\) | −5.25049 | + | 8.06575i | −0.221086 | + | 0.339629i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −9.58371 | − | 5.88011i | −0.402833 | − | 0.247159i | ||||
\(567\) | 8.40027 | − | 8.26520i | 0.352778 | − | 0.347106i | ||||
\(568\) | −43.4430 | − | 3.49068i | −1.82283 | − | 0.146466i | ||||
\(569\) | 4.58078 | − | 7.93415i | 0.192036 | − | 0.332617i | −0.753889 | − | 0.657002i | \(-0.771824\pi\) |
0.945925 | + | 0.324385i | \(0.105157\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −21.4132 | + | 12.3629i | −0.896114 | + | 0.517372i | −0.875938 | − | 0.482425i | \(-0.839756\pi\) |
−0.0201768 | + | 0.999796i | \(0.506423\pi\) | |||||||
\(572\) | −21.2312 | − | 1.13594i | −0.887720 | − | 0.0474959i | ||||
\(573\) | 12.7967i | 0.534589i | ||||||||
\(574\) | 0.890684 | − | 0.830703i | 0.0371764 | − | 0.0346729i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −12.4495 | + | 15.2712i | −0.518729 | + | 0.636301i | ||||
\(577\) | 8.23042 | − | 4.75184i | 0.342637 | − | 0.197822i | −0.318801 | − | 0.947822i | \(-0.603280\pi\) |
0.661438 | + | 0.750000i | \(0.269947\pi\) | |||||||
\(578\) | 0.566366 | − | 21.1864i | 0.0235577 | − | 0.881237i | ||||
\(579\) | −6.30178 | + | 10.9150i | −0.261893 | + | 0.453612i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.49398 | − | 13.4756i | −0.144955 | − | 0.559062i | ||||
\(582\) | −4.52679 | + | 7.37801i | −0.187642 | + | 0.305828i | ||||
\(583\) | −3.76518 | − | 2.17383i | −0.155938 | − | 0.0900308i | ||||
\(584\) | 1.72196 | + | 3.62543i | 0.0712551 | + | 0.150022i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.42578 | − | 2.62939i | −0.0588985 | − | 0.108619i | ||||
\(587\) | −14.2100 | −0.586508 | −0.293254 | − | 0.956035i | \(-0.594738\pi\) | ||||
−0.293254 | + | 0.956035i | \(0.594738\pi\) | |||||||
\(588\) | 9.22155 | − | 4.49938i | 0.380290 | − | 0.185552i | ||||
\(589\) | −24.6248 | −1.01465 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.37516 | + | 7.57801i | 0.179970 | + | 0.311717i | ||||
\(592\) | 17.8169 | + | 1.91200i | 0.732271 | + | 0.0785828i | ||||
\(593\) | 15.3781 | + | 8.87854i | 0.631502 | + | 0.364598i | 0.781334 | − | 0.624114i | \(-0.214540\pi\) |
−0.149831 | + | 0.988712i | \(0.547873\pi\) | |||||||
\(594\) | −7.96695 | + | 12.9850i | −0.326888 | + | 0.532779i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −7.96020 | − | 15.6651i | −0.326063 | − | 0.641666i | ||||
\(597\) | −5.68746 | + | 9.85098i | −0.232772 | + | 0.403174i | ||||
\(598\) | −0.733533 | + | 27.4397i | −0.0299964 | + | 1.12209i | ||||
\(599\) | 18.1537 | − | 10.4811i | 0.741741 | − | 0.428244i | −0.0809612 | − | 0.996717i | \(-0.525799\pi\) |
0.822702 | + | 0.568473i | \(0.192466\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 20.7196i | − | 0.845169i | −0.906324 | − | 0.422585i | \(-0.861123\pi\) | ||
0.906324 | − | 0.422585i | \(-0.138877\pi\) | |||||||
\(602\) | 25.3972 | − | 23.6869i | 1.03511 | − | 0.965405i | ||||
\(603\) | 7.45401i | 0.303551i | ||||||||
\(604\) | 0.0320917 | − | 0.599807i | 0.00130579 | − | 0.0244058i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.289442 | − | 0.00773753i | −0.0117578 | − | 0.000314316i | ||||
\(607\) | 1.60263 | − | 2.77584i | 0.0650487 | − | 0.112668i | −0.831667 | − | 0.555275i | \(-0.812613\pi\) |
0.896716 | + | 0.442607i | \(0.145946\pi\) | |||||||
\(608\) | −16.8752 | + | 6.93600i | −0.684380 | + | 0.281292i | ||||
\(609\) | 7.15881 | − | 7.04371i | 0.290090 | − | 0.285425i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 22.4668 | + | 12.9712i | 0.908909 | + | 0.524759i | ||||
\(612\) | −5.85786 | − | 3.81324i | −0.236790 | − | 0.154141i | ||||
\(613\) | −2.39778 | − | 4.15308i | −0.0968454 | − | 0.167741i | 0.813532 | − | 0.581520i | \(-0.197542\pi\) |
−0.910377 | + | 0.413779i | \(0.864209\pi\) | |||||||
\(614\) | −23.1932 | + | 12.5765i | −0.936000 | + | 0.507545i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 15.4368 | − | 12.9263i | 0.621965 | − | 0.520814i | ||||
\(617\) | −8.95961 | −0.360700 | −0.180350 | − | 0.983602i | \(-0.557723\pi\) | ||||
−0.180350 | + | 0.983602i | \(0.557723\pi\) | |||||||
\(618\) | 12.2100 | − | 6.62084i | 0.491157 | − | 0.266329i | ||||
\(619\) | −12.8347 | − | 22.2303i | −0.515868 | − | 0.893510i | −0.999830 | − | 0.0184212i | \(-0.994136\pi\) |
0.483962 | − | 0.875089i | \(-0.339197\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 17.0330 | + | 9.83400i | 0.683510 | + | 0.394625i | ||||
\(622\) | 9.86394 | + | 6.05205i | 0.395508 | + | 0.242665i | ||||
\(623\) | 3.34741 | − | 12.0996i | 0.134111 | − | 0.484761i | ||||
\(624\) | −9.35623 | − | 6.82898i | −0.374549 | − | 0.273378i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −33.0444 | − | 0.883361i | −1.32072 | − | 0.0353062i | ||||
\(627\) | −5.50790 | + | 3.17999i | −0.219964 | + | 0.126996i | ||||
\(628\) | 2.05531 | − | 38.4147i | 0.0820160 | − | 1.53291i | ||||
\(629\) | 6.35693i | 0.253467i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 1.75095i | − | 0.0697043i | −0.999392 | − | 0.0348521i | \(-0.988904\pi\) | ||
0.999392 | − | 0.0348521i | \(-0.0110960\pi\) | |||||||
\(632\) | 19.6119 | − | 28.4356i | 0.780120 | − | 1.13111i | ||||
\(633\) | −8.98985 | + | 5.19029i | −0.357314 | + | 0.206296i | ||||
\(634\) | 0.990445 | − | 37.0502i | 0.0393356 | − | 1.47145i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.07302 | − | 2.11163i | −0.0425482 | − | 0.0837315i | ||||
\(637\) | −13.4391 | − | 24.1737i | −0.532475 | − | 0.957798i | ||||
\(638\) | 10.3061 | − | 16.7974i | 0.408021 | − | 0.665014i | ||||
\(639\) | 32.8655 | + | 18.9749i | 1.30014 | + | 0.750636i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 20.3887 | + | 35.3143i | 0.805306 | + | 1.39483i | 0.916084 | + | 0.400986i | \(0.131332\pi\) |
−0.110778 | + | 0.993845i | \(0.535334\pi\) | |||||||
\(642\) | 2.68228 | + | 4.94658i | 0.105861 | + | 0.195226i | ||||
\(643\) | 35.0077 | 1.38057 | 0.690285 | − | 0.723538i | \(-0.257485\pi\) | ||||
0.690285 | + | 0.723538i | \(0.257485\pi\) | |||||||
\(644\) | −17.2150 | − | 19.4764i | −0.678364 | − | 0.767478i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.08530 | − | 5.68983i | −0.121390 | − | 0.223863i | ||||
\(647\) | −12.1215 | − | 20.9951i | −0.476547 | − | 0.825404i | 0.523092 | − | 0.852276i | \(-0.324779\pi\) |
−0.999639 | + | 0.0268724i | \(0.991445\pi\) | |||||||
\(648\) | 11.3799 | − | 5.40508i | 0.447046 | − | 0.212331i | ||||
\(649\) | −17.7898 | − | 10.2710i | −0.698312 | − | 0.403171i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 14.2687 | + | 3.94751i | 0.559236 | + | 0.154715i | ||||
\(652\) | 19.1123 | − | 9.71192i | 0.748495 | − | 0.380348i | ||||
\(653\) | 21.5956 | − | 37.4046i | 0.845100 | − | 1.46376i | −0.0404346 | − | 0.999182i | \(-0.512874\pi\) |
0.885534 | − | 0.464574i | \(-0.153792\pi\) | |||||||
\(654\) | −0.246984 | + | 9.23906i | −0.00965782 | + | 0.361276i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 1.19062 | − | 0.526985i | 0.0464860 | − | 0.0205753i | ||||
\(657\) | − | 3.49483i | − | 0.136346i | ||||||
\(658\) | −23.9367 | + | 5.52814i | −0.933150 | + | 0.215509i | ||||
\(659\) | 11.6398i | 0.453422i | 0.973962 | + | 0.226711i | \(0.0727973\pi\) | ||||
−0.973962 | + | 0.226711i | \(0.927203\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.8021 | − | 8.54599i | 0.575735 | − | 0.332400i | −0.183702 | − | 0.982982i | \(-0.558808\pi\) |
0.759436 | + | 0.650582i | \(0.225475\pi\) | |||||||
\(662\) | 27.5975 | + | 0.737751i | 1.07261 | + | 0.0286735i | ||||
\(663\) | 2.05462 | − | 3.55871i | 0.0797950 | − | 0.138209i | ||||
\(664\) | 1.19197 | − | 14.8346i | 0.0462574 | − | 0.575693i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −13.2994 | − | 8.15989i | −0.515342 | − | 0.316189i | ||||
\(667\) | −22.0339 | − | 12.7213i | −0.853157 | − | 0.492570i | ||||
\(668\) | 14.4306 | − | 22.1682i | 0.558338 | − | 0.857712i | ||||
\(669\) | 1.11198 | + | 1.92600i | 0.0429915 | + | 0.0744634i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −38.4748 | −1.48530 | ||||||||
\(672\) | 10.8902 | − | 1.31384i | 0.420097 | − | 0.0506823i | ||||
\(673\) | −3.77972 | −0.145697 | −0.0728487 | − | 0.997343i | \(-0.523209\pi\) | ||||
−0.0728487 | + | 0.997343i | \(0.523209\pi\) | |||||||
\(674\) | −39.4742 | + | 21.4048i | −1.52049 | + | 0.824482i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.84976 | + | 4.37777i | −0.109606 | + | 0.168376i | ||||
\(677\) | 24.0534 | + | 13.8872i | 0.924446 | + | 0.533729i | 0.885051 | − | 0.465494i | \(-0.154123\pi\) |
0.0393956 | + | 0.999224i | \(0.487457\pi\) | |||||||
\(678\) | −0.929044 | − | 0.570017i | −0.0356797 | − | 0.0218914i | ||||
\(679\) | −21.3883 | + | 5.54559i | −0.820808 | + | 0.212820i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.41499 | + | 9.37904i | −0.207503 | + | 0.359405i | ||||
\(682\) | 29.0403 | + | 0.776321i | 1.11201 | + | 0.0297269i | ||||
\(683\) | −9.67614 | + | 5.58652i | −0.370247 | + | 0.213762i | −0.673567 | − | 0.739127i | \(-0.735239\pi\) |
0.303319 | + | 0.952889i | \(0.401905\pi\) | |||||||
\(684\) | 15.8641 | + | 0.848783i | 0.606580 | + | 0.0324540i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 24.9204 | + | 8.06075i | 0.951464 | + | 0.307761i | ||||
\(687\) | − | 4.71324i | − | 0.179821i | ||||||
\(688\) | 33.9497 | − | 15.0266i | 1.29432 | − | 0.572884i | ||||
\(689\) | −5.52935 | + | 3.19237i | −0.210652 | + | 0.121620i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −17.7057 | + | 30.6672i | −0.673556 | + | 1.16663i | 0.303332 | + | 0.952885i | \(0.401901\pi\) |
−0.976889 | + | 0.213749i | \(0.931433\pi\) | |||||||
\(692\) | −20.0661 | + | 10.1966i | −0.762797 | + | 0.387616i | ||||
\(693\) | −16.9706 | + | 4.40016i | −0.644659 | + | 0.167148i | ||||
\(694\) | 13.5966 | − | 22.1605i | 0.516122 | − | 0.841202i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 9.69812 | − | 4.60627i | 0.367606 | − | 0.174600i | ||||
\(697\) | 0.230952 | + | 0.400020i | 0.00874791 | + | 0.0151518i | ||||
\(698\) | −1.60031 | − | 2.95124i | −0.0605725 | − | 0.111706i | ||||
\(699\) | 12.8043 | 0.484304 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.24955 | 0.0849643 | 0.0424821 | − | 0.999097i | \(-0.486473\pi\) | ||||
0.0424821 | + | 0.999097i | \(0.486473\pi\) | |||||||
\(702\) | 10.6643 | + | 19.6669i | 0.402500 | + | 0.742279i | ||||
\(703\) | −7.22434 | − | 12.5129i | −0.272471 | − | 0.471934i | ||||
\(704\) | 20.1198 | − | 7.64771i | 0.758293 | − | 0.288234i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.59321 | + | 2.59671i | −0.0599614 | + | 0.0977283i | ||||
\(707\) | −0.518370 | − | 0.526841i | −0.0194953 | − | 0.0198139i | ||||
\(708\) | −5.06985 | − | 9.97707i | −0.190537 | − | 0.374961i | ||||
\(709\) | −7.94601 | + | 13.7629i | −0.298418 | + | 0.516876i | −0.975774 | − | 0.218780i | \(-0.929792\pi\) |
0.677356 | + | 0.735656i | \(0.263126\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −26.0485 | + | 15.0391i | −0.976893 | + | 0.564010i | ||||
\(712\) | 7.61980 | − | 11.0480i | 0.285564 | − | 0.414043i | ||||
\(713\) | − | 37.5056i | − | 1.40460i | ||||||
\(714\) | 0.875651 | + | 3.79154i | 0.0327704 | + | 0.141895i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.0861211 | − | 1.60964i | 0.00321850 | − | 0.0601551i | ||||
\(717\) | 2.04689 | − | 1.18177i | 0.0764425 | − | 0.0441341i | ||||
\(718\) | −7.18267 | − | 0.192011i | −0.268055 | − | 0.00716579i | ||||
\(719\) | −18.0142 | + | 31.2015i | −0.671817 | + | 1.16362i | 0.305572 | + | 0.952169i | \(0.401152\pi\) |
−0.977388 | + | 0.211452i | \(0.932181\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 34.1711 | + | 9.45359i | 1.27260 | + | 0.352070i | ||||
\(722\) | −10.3635 | − | 6.35856i | −0.385690 | − | 0.236641i | ||||
\(723\) | 13.0035 | + | 7.50758i | 0.483606 | + | 0.279210i | ||||
\(724\) | −0.111817 | − | 0.0727888i | −0.00415565 | − | 0.00270517i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −3.42687 | + | 1.85822i | −0.127183 | + | 0.0689648i | ||||
\(727\) | 51.4779 | 1.90921 | 0.954604 | − | 0.297878i | \(-0.0962787\pi\) | ||||
0.954604 | + | 0.297878i | \(0.0962787\pi\) | |||||||
\(728\) | −5.10481 | − | 29.1239i | −0.189197 | − | 1.07940i | ||||
\(729\) | −2.16686 | −0.0802541 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 6.58541 | + | 11.4063i | 0.243570 | + | 0.421876i | ||||
\(732\) | −17.5670 | − | 11.4355i | −0.649296 | − | 0.422667i | ||||
\(733\) | −31.1280 | − | 17.9717i | −1.14974 | − | 0.663801i | −0.200914 | − | 0.979609i | \(-0.564391\pi\) |
−0.948823 | + | 0.315807i | \(0.897725\pi\) | |||||||
\(734\) | 16.3277 | + | 10.0179i | 0.602667 | + | 0.369768i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −10.5641 | − | 25.7024i | −0.389398 | − | 0.947401i | ||||
\(737\) | 4.07155 | − | 7.05214i | 0.149978 | − | 0.259769i | ||||
\(738\) | −1.13334 | − | 0.0302971i | −0.0417189 | − | 0.00111525i | ||||
\(739\) | 15.7903 | − | 9.11653i | 0.580855 | − | 0.335357i | −0.180618 | − | 0.983553i | \(-0.557810\pi\) |
0.761473 | + | 0.648196i | \(0.224476\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 9.33993i | 0.343111i | ||||||||
\(742\) | 1.76729 | − | 5.78213i | 0.0648794 | − | 0.212269i | ||||
\(743\) | − | 29.1171i | − | 1.06820i | −0.845420 | − | 0.534102i | \(-0.820650\pi\) | ||
0.845420 | − | 0.534102i | \(-0.179350\pi\) | |||||||
\(744\) | 13.0287 | + | 8.98582i | 0.477654 | + | 0.329436i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0.269608 | − | 10.0854i | 0.00987105 | − | 0.369252i | ||||
\(747\) | −6.47941 | + | 11.2227i | −0.237069 | + | 0.410616i | ||||
\(748\) | 3.45916 | + | 6.80736i | 0.126479 | + | 0.248902i | ||||
\(749\) | −3.82990 | + | 13.8436i | −0.139942 | + | 0.505835i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 37.2703 | + | 21.5180i | 1.36001 | + | 0.785203i | 0.989625 | − | 0.143675i | \(-0.0458921\pi\) |
0.370386 | + | 0.928878i | \(0.379225\pi\) | |||||||
\(752\) | −26.1130 | − | 2.80229i | −0.952245 | − | 0.102189i | ||||
\(753\) | −5.55715 | − | 9.62527i | −0.202514 | − | 0.350764i | ||||
\(754\) | −13.7954 | − | 25.4411i | −0.502400 | − | 0.926512i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −20.0879 | − | 6.73182i | −0.730590 | − | 0.244834i | ||||
\(757\) | −10.6531 | −0.387193 | −0.193597 | − | 0.981081i | \(-0.562015\pi\) | ||||
−0.193597 | + | 0.981081i | \(0.562015\pi\) | |||||||
\(758\) | 10.9502 | + | 20.1941i | 0.397730 | + | 0.733484i | ||||
\(759\) | −4.84339 | − | 8.38899i | −0.175804 | − | 0.304501i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 12.3298 | + | 7.11864i | 0.446956 | + | 0.258050i | 0.706544 | − | 0.707669i | \(-0.250253\pi\) |
−0.259588 | + | 0.965720i | \(0.583587\pi\) | |||||||
\(762\) | −0.931088 | + | 1.51754i | −0.0337297 | + | 0.0549745i | ||||
\(763\) | −16.8169 | + | 16.5465i | −0.608812 | + | 0.599023i | ||||
\(764\) | −31.1316 | + | 15.8195i | −1.12630 | + | 0.572331i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.373656 | + | 13.9776i | −0.0135007 | + | 0.505030i | ||||
\(767\) | −26.1252 | + | 15.0834i | −0.943327 | + | 0.544630i | ||||
\(768\) | 11.4595 | + | 2.48817i | 0.413508 | + | 0.0897842i | ||||
\(769\) | 35.5770i | 1.28294i | 0.767149 | + | 0.641469i | \(0.221675\pi\) | ||||
−0.767149 | + | 0.641469i | \(0.778325\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.46777i | 0.124889i | ||||||||
\(772\) | −34.3443 | − | 1.83753i | −1.23608 | − | 0.0661342i | ||||
\(773\) | 10.2930 | − | 5.94268i | 0.370214 | − | 0.213743i | −0.303338 | − | 0.952883i | \(-0.598101\pi\) |
0.673552 | + | 0.739140i | \(0.264768\pi\) | |||||||
\(774\) | −32.3164 | − | 0.863899i | −1.16159 | − | 0.0310522i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −23.5453 | − | 1.89188i | −0.845226 | − | 0.0679145i | ||||
\(777\) | 2.18021 | + | 8.40868i | 0.0782148 | + | 0.301660i | ||||
\(778\) | 38.5277 | + | 23.6388i | 1.38129 | + | 0.847491i | ||||
\(779\) | −0.909207 | − | 0.524931i | −0.0325757 | − | 0.0188076i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −20.7291 | − | 35.9038i | −0.741745 | − | 1.28474i | ||||
\(782\) | 8.66609 | − | 4.69918i | 0.309899 | − | 0.168042i | ||||
\(783\) | −20.7365 | −0.741061 | ||||||||
\(784\) | 22.3459 | + | 16.8718i | 0.798069 | + | 0.602566i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 12.8868 | − | 6.98786i | 0.459658 | − | 0.249249i | ||||
\(787\) | 23.1890 | + | 40.1645i | 0.826597 | + | 1.43171i | 0.900692 | + | 0.434457i | \(0.143060\pi\) |
−0.0740951 | + | 0.997251i | \(0.523607\pi\) | |||||||
\(788\) | −13.0270 | + | 20.0119i | −0.464068 | + | 0.712896i | ||||
\(789\) | −2.98342 | − | 1.72248i | −0.106213 | − | 0.0613219i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.698305 | − | 2.69323i | −0.0248289 | − | 0.0957603i | ||||
\(792\) | −18.6820 | − | 1.50111i | −0.663836 | − | 0.0533398i | ||||
\(793\) | −28.2510 | + | 48.9322i | −1.00322 | + | 1.73763i | ||||
\(794\) | −24.7055 | − | 0.660441i | −0.876766 | − | 0.0234382i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −30.9963 | − | 1.65841i | −1.09864 | − | 0.0587806i | ||||
\(797\) | − | 9.09251i | − | 0.322073i | −0.986948 | − | 0.161037i | \(-0.948516\pi\) | ||
0.986948 | − | 0.161037i | \(-0.0514837\pi\) | |||||||
\(798\) | −6.03253 | − | 6.46811i | −0.213549 | − | 0.228969i | ||||
\(799\) | − | 9.31691i | − | 0.329609i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −10.1206 | + | 5.84312i | −0.357593 | + | 0.206457i | ||||
\(802\) | −0.656013 | + | 24.5399i | −0.0231646 | + | 0.866534i | ||||
\(803\) | −1.90896 | + | 3.30641i | −0.0673656 | + | 0.116681i | ||||
\(804\) | 3.95505 | − | 2.00976i | 0.139484 | − | 0.0708788i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 22.3109 | − | 36.3634i | 0.785867 | − | 1.28085i | ||||
\(807\) | 15.5766 | + | 8.99316i | 0.548323 | + | 0.316574i | ||||
\(808\) | −0.338991 | − | 0.713717i | −0.0119257 | − | 0.0251085i | ||||
\(809\) | 8.66128 | + | 15.0018i | 0.304515 | + | 0.527435i | 0.977153 | − | 0.212536i | \(-0.0681724\pi\) |
−0.672639 | + | 0.739971i | \(0.734839\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −16.4459 | −0.577493 | −0.288746 | − | 0.957406i | \(-0.593238\pi\) | ||||
−0.288746 | + | 0.957406i | \(0.593238\pi\) | |||||||
\(812\) | 25.9857 | + | 8.70830i | 0.911921 | + | 0.305601i | ||||
\(813\) | −19.3424 | −0.678368 | ||||||||
\(814\) | 8.12527 | + | 14.9844i | 0.284791 | + | 0.525203i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −0.443879 | + | 4.13628i | −0.0155389 | + | 0.144799i | ||||
\(817\) | −25.9254 | − | 14.9680i | −0.907013 | − | 0.523664i | ||||
\(818\) | 5.39886 | − | 8.79934i | 0.188767 | − | 0.307662i | ||||
\(819\) | −6.86494 | + | 24.8141i | −0.239880 | + | 0.867075i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −22.4527 | + | 38.8892i | −0.783603 | + | 1.35724i | 0.146226 | + | 0.989251i | \(0.453287\pi\) |
−0.929830 | + | 0.367990i | \(0.880046\pi\) | |||||||
\(822\) | 0.411897 | − | 15.4081i | 0.0143666 | − | 0.537418i | ||||
\(823\) | 20.5328 | − | 11.8546i | 0.715729 | − | 0.413226i | −0.0974497 | − | 0.995240i | \(-0.531069\pi\) |
0.813179 | + | 0.582014i | \(0.197735\pi\) | |||||||
\(824\) | 31.2013 | + | 21.5194i | 1.08695 | + | 0.749665i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.35015 | − | 27.3195i | 0.290539 | − | 0.950569i | ||||
\(827\) | 8.20536i | 0.285328i | 0.989771 | + | 0.142664i | \(0.0455669\pi\) | ||||
−0.989771 | + | 0.142664i | \(0.954433\pi\) | |||||||
\(828\) | −1.29277 | + | 24.1624i | −0.0449268 | + | 0.839702i | ||||
\(829\) | 19.1548 | − | 11.0590i | 0.665272 | − | 0.384095i | −0.129011 | − | 0.991643i | \(-0.541180\pi\) |
0.794283 | + | 0.607548i | \(0.207847\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −8.82054 | + | 15.2776i | −0.305981 | + | 0.529975i | ||||
\(832\) | 5.04710 | − | 31.2039i | 0.174977 | − | 1.08180i | ||||
\(833\) | −5.10534 | + | 8.52071i | −0.176890 | + | 0.295225i | ||||
\(834\) | 6.24391 | + | 3.83096i | 0.216209 | + | 0.132655i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −14.5452 | − | 9.46838i | −0.503057 | − | 0.327471i | ||||
\(837\) | −15.2841 | − | 26.4729i | −0.528296 | − | 0.915036i | ||||
\(838\) | 22.2879 | − | 12.0856i | 0.769923 | − | 0.417490i | ||||
\(839\) | −3.64977 | −0.126004 | −0.0630020 | − | 0.998013i | \(-0.520067\pi\) | ||||
−0.0630020 | + | 0.998013i | \(0.520067\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.17525 | −0.0750086 | ||||||||
\(842\) | −15.7059 | + | 8.51652i | −0.541262 | + | 0.293499i | ||||
\(843\) | 2.85312 | + | 4.94174i | 0.0982665 | + | 0.170203i | ||||
\(844\) | −23.7403 | − | 15.4541i | −0.817176 | − | 0.531950i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 19.4920 | + | 11.9594i | 0.670150 | + | 0.411172i | ||||
\(847\) | −9.59051 | − | 2.65326i | −0.329534 | − | 0.0911671i | ||||
\(848\) | 3.81065 | − | 5.22088i | 0.130858 | − | 0.179286i | ||||
\(849\) | 2.91351 | − | 5.04634i | 0.0999913 | − | 0.173190i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 19.0582 | − | 11.0033i | 0.653308 | − | 0.377188i | ||||
\(852\) | 1.20673 | − | 22.5543i | 0.0413419 | − | 0.772697i | ||||
\(853\) | − | 1.03474i | − | 0.0354290i | −0.999843 | − | 0.0177145i | \(-0.994361\pi\) | ||
0.999843 | − | 0.0177145i | \(-0.00563899\pi\) | |||||||
\(854\) | −12.0402 | − | 52.1337i | −0.412006 | − | 1.78398i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −8.71810 | + | 12.6405i | −0.297979 | + | 0.432043i | ||||
\(857\) | 42.0132 | − | 24.2563i | 1.43514 | − | 0.828581i | 0.437637 | − | 0.899152i | \(-0.355815\pi\) |
0.997507 | + | 0.0705709i | \(0.0224821\pi\) | |||||||
\(858\) | 0.294451 | − | 11.0147i | 0.0100524 | − | 0.376035i | ||||
\(859\) | −12.4674 | + | 21.5941i | −0.425382 | + | 0.736783i | −0.996456 | − | 0.0841157i | \(-0.973193\pi\) |
0.571074 | + | 0.820898i | \(0.306527\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.442687 | + | 0.449921i | 0.0150867 | + | 0.0153333i | ||||
\(862\) | −24.1649 | + | 39.3852i | −0.823060 | + | 1.34147i | ||||
\(863\) | −5.16765 | − | 2.98354i | −0.175909 | − | 0.101561i | 0.409460 | − | 0.912328i | \(-0.365717\pi\) |
−0.585369 | + | 0.810767i | \(0.699050\pi\) | |||||||
\(864\) | −17.9307 | − | 13.8366i | −0.610013 | − | 0.470732i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −15.9016 | − | 29.3252i | −0.540357 | − | 0.996511i | ||||
\(867\) | 10.9836 | 0.373023 | ||||||||
\(868\) | 8.03586 | + | 39.5928i | 0.272755 | + | 1.34387i | ||||
\(869\) | 32.8588 | 1.11466 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.97927 | − | 10.3564i | −0.202600 | − | 0.350913i | ||||
\(872\) | −22.7820 | + | 10.8207i | −0.771496 | + | 0.366434i | ||||
\(873\) | 17.8125 | + | 10.2840i | 0.602861 | + | 0.348062i | ||||
\(874\) | −11.7179 | + | 19.0984i | −0.396363 | + | 0.646014i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.85433 | + | 0.942281i | −0.0626522 | + | 0.0318367i | ||||
\(877\) | −16.9149 | + | 29.2974i | −0.571175 | + | 0.989304i | 0.425270 | + | 0.905066i | \(0.360179\pi\) |
−0.996446 | + | 0.0842381i | \(0.973154\pi\) | |||||||
\(878\) | −0.694996 | + | 25.9981i | −0.0234550 | + | 0.877394i | ||||
\(879\) | 1.34243 | − | 0.775051i | 0.0452789 | − | 0.0261418i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 20.9239i | − | 0.704944i | −0.935822 | − | 0.352472i | \(-0.885341\pi\) | ||
0.935822 | − | 0.352472i | \(-0.114659\pi\) | |||||||
\(882\) | −11.2730 | − | 21.6183i | −0.379581 | − | 0.727927i | ||||
\(883\) | − | 14.7876i | − | 0.497642i | −0.968549 | − | 0.248821i | \(-0.919957\pi\) | ||
0.968549 | − | 0.248821i | \(-0.0800432\pi\) | |||||||
\(884\) | 11.1976 | + | 0.599107i | 0.376615 | + | 0.0201501i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 4.78446 | + | 0.127901i | 0.160737 | + | 0.00429691i | ||||
\(887\) | −3.69958 | + | 6.40786i | −0.124220 | + | 0.215155i | −0.921428 | − | 0.388550i | \(-0.872976\pi\) |
0.797208 | + | 0.603705i | \(0.206309\pi\) | |||||||
\(888\) | −0.743780 | + | 9.25667i | −0.0249596 | + | 0.310633i | ||||
\(889\) | −4.39923 | + | 1.14064i | −0.147545 | + | 0.0382558i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 10.3785 | + | 5.99206i | 0.347694 | + | 0.200741i | ||||
\(892\) | −3.31090 | + | 5.08617i | −0.110857 | + | 0.170297i | ||||
\(893\) | 10.5882 | + | 18.3393i | 0.354321 | + | 0.613702i | ||||
\(894\) | 8.00516 | − | 4.34079i | 0.267733 | − | 0.145178i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 16.6589 | + | 24.8693i | 0.556536 | + | 0.830824i | ||||
\(897\) | −14.2255 | −0.474976 | ||||||||
\(898\) | −14.7958 | + | 8.02298i | −0.493741 | + | 0.267730i | ||||
\(899\) | 19.7716 | + | 34.2453i | 0.659418 | + | 1.14215i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.98580 | + | 1.14650i | 0.0661566 | + | 0.0381956i | ||||
\(902\) | 1.05569 | + | 0.647721i | 0.0351506 | + | 0.0215668i | ||||
\(903\) | 12.6229 | + | 12.8292i | 0.420063 | + | 0.426928i | ||||
\(904\) | 0.238227 | − | 2.96484i | 0.00792331 | − | 0.0986090i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0.311179 | + | 0.00831860i | 0.0103382 | + | 0.000276367i | ||||
\(907\) | −16.0320 | + | 9.25608i | −0.532334 | + | 0.307343i | −0.741966 | − | 0.670437i | \(-0.766107\pi\) |
0.209632 | + | 0.977780i | \(0.432773\pi\) | |||||||
\(908\) | −29.5113 | − | 1.57895i | −0.979368 | − | 0.0523994i | ||||
\(909\) | 0.688006i | 0.0228197i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 10.8437i | 0.359267i | 0.983734 | + | 0.179634i | \(0.0574912\pi\) | ||||
−0.983734 | + | 0.179634i | \(0.942509\pi\) | |||||||
\(912\) | −3.82695 | − | 8.64626i | −0.126723 | − | 0.286306i | ||||
\(913\) | 12.2602 | − | 7.07841i | 0.405752 | − | 0.234261i | ||||
\(914\) | −0.796292 | + | 29.7874i | −0.0263390 | + | 0.985279i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.4663 | − | 5.82661i | 0.378858 | − | 0.192517i | ||||
\(917\) | 36.0653 | + | 9.97764i | 1.19098 | + | 0.329491i | ||||
\(918\) | 4.20187 | − | 6.84842i | 0.138682 | − | 0.226032i | ||||
\(919\) | −13.9555 | − | 8.05723i | −0.460351 | − | 0.265784i | 0.251841 | − | 0.967769i | \(-0.418964\pi\) |
−0.712192 | + | 0.701985i | \(0.752297\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.83653 | − | 11.8412i | −0.225271 | − | 0.390181i | ||||
\(922\) | −20.0019 | − | 36.8869i | −0.658726 | − | 1.21480i | ||||
\(923\) | −60.8834 | −2.00400 | ||||||||
\(924\) | 6.91033 | + | 7.81811i | 0.227333 | + | 0.257197i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 10.1443 | + | 18.7078i | 0.333362 | + | 0.614776i | ||||
\(927\) | −16.5018 | − | 28.5820i | −0.541991 | − | 0.938757i | ||||
\(928\) | 23.1951 | + | 17.8991i | 0.761417 | + | 0.587567i | ||||
\(929\) | −42.7419 | − | 24.6770i | −1.40232 | − | 0.809627i | −0.407686 | − | 0.913122i | \(-0.633664\pi\) |
−0.994630 | + | 0.103495i | \(0.966998\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.365932 | − | 22.5741i | 0.0119930 | − | 0.739836i | ||||
\(932\) | 15.8290 | + | 31.1502i | 0.518496 | + | 1.02036i | ||||
\(933\) | −2.99870 | + | 5.19390i | −0.0981731 | + | 0.170041i | ||||
\(934\) | −0.194477 | + | 7.27493i | −0.00636349 | + | 0.238043i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −15.6268 | + | 22.6576i | −0.510779 | + | 0.740586i | ||||
\(937\) | 31.3085i | 1.02280i | 0.859342 | + | 0.511402i | \(0.170874\pi\) | ||||
−0.859342 | + | 0.511402i | \(0.829126\pi\) | |||||||
\(938\) | 10.8298 | + | 3.31012i | 0.353607 | + | 0.108079i | ||||
\(939\) | − | 17.1311i | − | 0.559054i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 37.9492 | − | 21.9100i | 1.23711 | − | 0.714245i | 0.268606 | − | 0.963250i | \(-0.413437\pi\) |
0.968502 | + | 0.249005i | \(0.0801035\pi\) | |||||||
\(942\) | 19.9295 | + | 0.532766i | 0.649338 | + | 0.0173584i | ||||
\(943\) | 0.799514 | − | 1.38480i | 0.0260358 | − | 0.0450952i | ||||
\(944\) | 18.0047 | − | 24.6678i | 0.586002 | − | 0.802867i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 30.1022 | + | 18.4693i | 0.978708 | + | 0.600488i | ||||
\(947\) | 12.6739 | + | 7.31729i | 0.411847 | + | 0.237780i | 0.691583 | − | 0.722297i | \(-0.256914\pi\) |
−0.279736 | + | 0.960077i | \(0.590247\pi\) | |||||||
\(948\) | 15.0029 | + | 9.76629i | 0.487270 | + | 0.317194i | ||||
\(949\) | 2.80340 | + | 4.85563i | 0.0910021 | + | 0.157620i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 19.2078 | 0.622857 | ||||||||
\(952\) | −8.14153 | + | 6.81746i | −0.263869 | + | 0.220955i | ||||
\(953\) | 28.2044 | 0.913630 | 0.456815 | − | 0.889562i | \(-0.348990\pi\) | ||||
0.456815 | + | 0.889562i | \(0.348990\pi\) | |||||||
\(954\) | −4.94763 | + | 2.68285i | −0.160186 | + | 0.0868604i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 5.40542 | + | 3.51872i | 0.174824 | + | 0.113804i | ||||
\(957\) | 8.84473 | + | 5.10651i | 0.285909 | + | 0.165070i | ||||
\(958\) | −48.1643 | − | 29.5513i | −1.55612 | − | 0.954759i | ||||
\(959\) | 28.0457 | − | 27.5947i | 0.905643 | − | 0.891081i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.6458 | + | 23.6352i | −0.440187 | + | 0.762427i | ||||
\(962\) | 25.0234 | + | 0.668938i | 0.806785 | + | 0.0215674i | ||||
\(963\) | 11.5793 | − | 6.68534i | 0.373139 | − | 0.215432i | ||||
\(964\) | −2.18913 | + | 40.9158i | −0.0705072 | + | 1.31781i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 9.85149 | − | 9.18806i | 0.316966 | − | 0.295621i | ||||
\(967\) | 8.88824i | 0.285827i | 0.989735 | + | 0.142913i | \(0.0456470\pi\) | ||||
−0.989735 | + | 0.142913i | \(0.954353\pi\) | |||||||
\(968\) | −8.75702 | − | 6.03968i | −0.281461 | − | 0.194123i | ||||
\(969\) | 2.90493 | − | 1.67716i | 0.0933198 | − | 0.0538782i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 4.37105 | − | 7.57089i | 0.140274 | − | 0.242961i | −0.787326 | − | 0.616537i | \(-0.788535\pi\) |
0.927600 | + | 0.373576i | \(0.121868\pi\) | |||||||
\(972\) | 13.8403 | + | 27.2367i | 0.443929 | + | 0.873618i | ||||
\(973\) | 4.69316 | + | 18.1006i | 0.150456 | + | 0.580280i | ||||
\(974\) | −9.04134 | + | 14.7360i | −0.289703 | + | 0.472173i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 6.10333 | − | 56.8737i | 0.195363 | − | 1.82048i | ||||
\(977\) | 20.9907 | + | 36.3569i | 0.671551 | + | 1.16316i | 0.977464 | + | 0.211100i | \(0.0677047\pi\) |
−0.305914 | + | 0.952059i | \(0.598962\pi\) | |||||||
\(978\) | 5.29601 | + | 9.76676i | 0.169348 | + | 0.312307i | ||||
\(979\) | 12.7666 | 0.408022 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 21.9613 | 0.701170 | ||||||||
\(982\) | −15.4722 | − | 28.5334i | −0.493738 | − | 0.910539i | ||||
\(983\) | −5.50236 | − | 9.53036i | −0.175498 | − | 0.303971i | 0.764836 | − | 0.644226i | \(-0.222820\pi\) |
−0.940333 | + | 0.340254i | \(0.889487\pi\) | |||||||
\(984\) | 0.289497 | + | 0.609513i | 0.00922884 | + | 0.0194306i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −5.43554 | + | 8.85913i | −0.173103 | + | 0.282132i | ||||
\(987\) | −3.19539 | − | 12.3240i | −0.101710 | − | 0.392278i | ||||
\(988\) | −22.7221 | + | 11.5462i | −0.722885 | + | 0.367334i | ||||
\(989\) | 22.7975 | − | 39.4865i | 0.724920 | − | 1.25560i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −31.6799 | + | 18.2904i | −1.00634 | + | 0.581013i | −0.910119 | − | 0.414346i | \(-0.864010\pi\) |
−0.0962255 | + | 0.995360i | \(0.530677\pi\) | |||||||
\(992\) | −5.75429 | + | 42.8044i | −0.182699 | + | 1.35904i | ||||
\(993\) | 14.3073i | 0.454028i | ||||||||
\(994\) | 42.1631 | − | 39.3237i | 1.33733 | − | 1.24727i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 7.70167 | + | 0.412065i | 0.244037 | + | 0.0130568i | ||||
\(997\) | −12.5263 | + | 7.23204i | −0.396711 | + | 0.229041i | −0.685064 | − | 0.728483i | \(-0.740226\pi\) |
0.288353 | + | 0.957524i | \(0.406892\pi\) | |||||||
\(998\) | 5.94811 | + | 0.159008i | 0.188284 | + | 0.00503331i | ||||
\(999\) | 8.96801 | − | 15.5331i | 0.283735 | − | 0.491444i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))