Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(176,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.176");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.ew (of order \(12\), degree \(4\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(84\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 176.82 | ||
Character | \(\chi\) | \(=\) | 819.176 |
Dual form | 819.2.ew.a.470.82 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{12}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.89378 | − | 1.89378i | 1.33911 | − | 1.33911i | 0.442179 | − | 0.896927i | \(-0.354206\pi\) |
0.896927 | − | 0.442179i | \(-0.145794\pi\) | |||||||
\(3\) | −1.72694 | + | 0.133013i | −0.997047 | + | 0.0767948i | ||||
\(4\) | − | 5.17282i | − | 2.58641i | ||||||
\(5\) | −0.404053 | − | 1.50795i | −0.180698 | − | 0.674375i | −0.995511 | − | 0.0946502i | \(-0.969827\pi\) |
0.814812 | − | 0.579725i | \(-0.196840\pi\) | |||||||
\(6\) | −3.01854 | + | 3.52234i | −1.23231 | + | 1.43799i | ||||
\(7\) | −0.258819 | − | 0.965926i | −0.0978244 | − | 0.365086i | ||||
\(8\) | −6.00863 | − | 6.00863i | −2.12437 | − | 2.12437i | ||||
\(9\) | 2.96462 | − | 0.459408i | 0.988205 | − | 0.153136i | ||||
\(10\) | −3.62091 | − | 2.09054i | −1.14503 | − | 0.661085i | ||||
\(11\) | −0.236738 | − | 0.236738i | −0.0713793 | − | 0.0713793i | 0.670516 | − | 0.741895i | \(-0.266073\pi\) |
−0.741895 | + | 0.670516i | \(0.766073\pi\) | |||||||
\(12\) | 0.688050 | + | 8.93313i | 0.198623 | + | 2.57877i | ||||
\(13\) | −3.43256 | − | 1.10342i | −0.952021 | − | 0.306033i | ||||
\(14\) | −2.31940 | − | 1.33911i | −0.619886 | − | 0.357891i | ||||
\(15\) | 0.898351 | + | 2.55039i | 0.231953 | + | 0.658507i | ||||
\(16\) | −12.4124 | −3.10310 | ||||||||
\(17\) | 2.33857 | + | 4.05053i | 0.567187 | + | 0.982397i | 0.996843 | + | 0.0794041i | \(0.0253017\pi\) |
−0.429655 | + | 0.902993i | \(0.641365\pi\) | |||||||
\(18\) | 4.74432 | − | 6.48435i | 1.11825 | − | 1.52838i | ||||
\(19\) | −0.231444 | + | 0.863760i | −0.0530968 | + | 0.198160i | −0.987379 | − | 0.158374i | \(-0.949375\pi\) |
0.934282 | + | 0.356534i | \(0.116042\pi\) | |||||||
\(20\) | −7.80034 | + | 2.09010i | −1.74421 | + | 0.467360i | ||||
\(21\) | 0.575444 | + | 1.63367i | 0.125572 | + | 0.356495i | ||||
\(22\) | −0.896662 | −0.191169 | ||||||||
\(23\) | 0.507812 | + | 0.879556i | 0.105886 | + | 0.183400i | 0.914100 | − | 0.405489i | \(-0.132899\pi\) |
−0.808214 | + | 0.588889i | \(0.799565\pi\) | |||||||
\(24\) | 11.1757 | + | 9.57729i | 2.28124 | + | 1.95496i | ||||
\(25\) | 2.21948 | − | 1.28142i | 0.443896 | − | 0.256283i | ||||
\(26\) | −8.59015 | + | 4.41089i | −1.68467 | + | 0.865046i | ||||
\(27\) | −5.05859 | + | 1.18770i | −0.973527 | + | 0.228573i | ||||
\(28\) | −4.99656 | + | 1.33882i | −0.944261 | + | 0.253014i | ||||
\(29\) | − | 9.56121i | − | 1.77547i | −0.460353 | − | 0.887736i | \(-0.652277\pi\) | ||
0.460353 | − | 0.887736i | \(-0.347723\pi\) | |||||||
\(30\) | 6.53115 | + | 3.12859i | 1.19242 | + | 0.571200i | ||||
\(31\) | −2.08717 | + | 0.559255i | −0.374867 | + | 0.100445i | −0.441333 | − | 0.897343i | \(-0.645494\pi\) |
0.0664663 | + | 0.997789i | \(0.478828\pi\) | |||||||
\(32\) | −11.4892 | + | 11.4892i | −2.03101 | + | 2.03101i | ||||
\(33\) | 0.440321 | + | 0.377343i | 0.0766501 | + | 0.0656869i | ||||
\(34\) | 12.0996 | + | 3.24207i | 2.07506 | + | 0.556010i | ||||
\(35\) | −1.35199 | + | 0.780571i | −0.228528 | + | 0.131941i | ||||
\(36\) | −2.37644 | − | 15.3354i | −0.396073 | − | 2.55590i | ||||
\(37\) | 2.10164 | + | 7.84344i | 0.345508 | + | 1.28945i | 0.892018 | + | 0.452001i | \(0.149290\pi\) |
−0.546510 | + | 0.837453i | \(0.684044\pi\) | |||||||
\(38\) | 1.19747 | + | 2.07408i | 0.194255 | + | 0.336460i | ||||
\(39\) | 6.07458 | + | 1.44896i | 0.972711 | + | 0.232019i | ||||
\(40\) | −6.63289 | + | 11.4885i | −1.04875 | + | 1.81649i | ||||
\(41\) | −3.61342 | − | 0.968214i | −0.564322 | − | 0.151210i | −0.0346308 | − | 0.999400i | \(-0.511026\pi\) |
−0.529691 | + | 0.848191i | \(0.677692\pi\) | |||||||
\(42\) | 4.18357 | + | 2.00404i | 0.645539 | + | 0.309230i | ||||
\(43\) | −3.96423 | − | 2.28875i | −0.604540 | − | 0.349031i | 0.166286 | − | 0.986078i | \(-0.446823\pi\) |
−0.770826 | + | 0.637046i | \(0.780156\pi\) | |||||||
\(44\) | −1.22460 | + | 1.22460i | −0.184616 | + | 0.184616i | ||||
\(45\) | −1.89063 | − | 4.28486i | −0.281838 | − | 0.638749i | ||||
\(46\) | 2.62737 | + | 0.704002i | 0.387385 | + | 0.103800i | ||||
\(47\) | 0.476115 | − | 1.77688i | 0.0694484 | − | 0.259185i | −0.922469 | − | 0.386072i | \(-0.873832\pi\) |
0.991917 | + | 0.126887i | \(0.0404984\pi\) | |||||||
\(48\) | 21.4354 | − | 1.65101i | 3.09394 | − | 0.238302i | ||||
\(49\) | −0.866025 | + | 0.500000i | −0.123718 | + | 0.0714286i | ||||
\(50\) | 1.77648 | − | 6.62993i | 0.251233 | − | 0.937614i | ||||
\(51\) | −4.57734 | − | 6.68394i | −0.640955 | − | 0.935939i | ||||
\(52\) | −5.70778 | + | 17.7560i | −0.791527 | + | 2.46232i | ||||
\(53\) | 6.95452i | 0.955277i | 0.878557 | + | 0.477638i | \(0.158507\pi\) | ||||
−0.878557 | + | 0.477638i | \(0.841493\pi\) | |||||||
\(54\) | −7.33063 | + | 11.8291i | −0.997572 | + | 1.60974i | ||||
\(55\) | −0.261334 | + | 0.452644i | −0.0352383 | + | 0.0610345i | ||||
\(56\) | −4.24874 | + | 7.35903i | −0.567762 | + | 0.983392i | ||||
\(57\) | 0.284798 | − | 1.52244i | 0.0377224 | − | 0.201652i | ||||
\(58\) | −18.1068 | − | 18.1068i | −2.37754 | − | 2.37754i | ||||
\(59\) | −1.22280 | − | 1.22280i | −0.159196 | − | 0.159196i | 0.623015 | − | 0.782210i | \(-0.285908\pi\) |
−0.782210 | + | 0.623015i | \(0.785908\pi\) | |||||||
\(60\) | 13.1927 | − | 4.64700i | 1.70317 | − | 0.599926i | ||||
\(61\) | 3.03944 | − | 5.26447i | 0.389161 | − | 0.674047i | −0.603176 | − | 0.797608i | \(-0.706098\pi\) |
0.992337 | + | 0.123562i | \(0.0394317\pi\) | |||||||
\(62\) | −2.89353 | + | 5.01175i | −0.367479 | + | 0.636493i | ||||
\(63\) | −1.21105 | − | 2.74469i | −0.152578 | − | 0.345799i | ||||
\(64\) | 18.6911i | 2.33638i | ||||||||
\(65\) | −0.276959 | + | 5.62196i | −0.0343526 | + | 0.697319i | ||||
\(66\) | 1.54848 | − | 0.119267i | 0.190604 | − | 0.0146808i | ||||
\(67\) | 2.79307 | − | 10.4239i | 0.341228 | − | 1.27348i | −0.555730 | − | 0.831363i | \(-0.687561\pi\) |
0.896958 | − | 0.442116i | \(-0.145772\pi\) | |||||||
\(68\) | 20.9526 | − | 12.0970i | 2.54088 | − | 1.46698i | ||||
\(69\) | −0.993951 | − | 1.45139i | −0.119658 | − | 0.174727i | ||||
\(70\) | −1.08214 | + | 4.03860i | −0.129341 | + | 0.482706i | ||||
\(71\) | 3.72104 | + | 0.997051i | 0.441607 | + | 0.118328i | 0.472769 | − | 0.881186i | \(-0.343254\pi\) |
−0.0311628 | + | 0.999514i | \(0.509921\pi\) | |||||||
\(72\) | −20.5737 | − | 15.0529i | −2.42463 | − | 1.77400i | ||||
\(73\) | 11.8270 | − | 11.8270i | 1.38425 | − | 1.38425i | 0.547332 | − | 0.836916i | \(-0.315644\pi\) |
0.836916 | − | 0.547332i | \(-0.184356\pi\) | |||||||
\(74\) | 18.8338 | + | 10.8737i | 2.18939 | + | 1.26404i | ||||
\(75\) | −3.66245 | + | 2.50814i | −0.422904 | + | 0.289615i | ||||
\(76\) | 4.46807 | + | 1.19722i | 0.512523 | + | 0.137330i | ||||
\(77\) | −0.167399 | + | 0.289944i | −0.0190769 | + | 0.0330422i | ||||
\(78\) | 14.2479 | − | 8.75992i | 1.61326 | − | 0.991865i | ||||
\(79\) | −3.30393 | − | 5.72257i | −0.371721 | − | 0.643839i | 0.618110 | − | 0.786092i | \(-0.287899\pi\) |
−0.989830 | + | 0.142253i | \(0.954565\pi\) | |||||||
\(80\) | 5.01528 | + | 18.7173i | 0.560725 | + | 2.09266i | ||||
\(81\) | 8.57789 | − | 2.72394i | 0.953099 | − | 0.302660i | ||||
\(82\) | −8.67662 | + | 5.00945i | −0.958173 | + | 0.553201i | ||||
\(83\) | −12.3918 | − | 3.32038i | −1.36018 | − | 0.364459i | −0.496297 | − | 0.868153i | \(-0.665307\pi\) |
−0.863882 | + | 0.503694i | \(0.831974\pi\) | |||||||
\(84\) | 8.45066 | − | 2.97667i | 0.922042 | − | 0.324781i | ||||
\(85\) | 5.16308 | − | 5.16308i | 0.560014 | − | 0.560014i | ||||
\(86\) | −11.8418 | + | 3.17300i | −1.27693 | + | 0.342153i | ||||
\(87\) | 1.27176 | + | 16.5116i | 0.136347 | + | 1.77023i | ||||
\(88\) | 2.84494i | 0.303272i | ||||||||
\(89\) | −1.18220 | + | 0.316770i | −0.125313 | + | 0.0335775i | −0.320930 | − | 0.947103i | \(-0.603996\pi\) |
0.195617 | + | 0.980680i | \(0.437329\pi\) | |||||||
\(90\) | −11.6950 | − | 4.53416i | −1.23276 | − | 0.477942i | ||||
\(91\) | −0.177408 | + | 3.60118i | −0.0185974 | + | 0.377507i | ||||
\(92\) | 4.54979 | − | 2.62682i | 0.474348 | − | 0.273865i | ||||
\(93\) | 3.53002 | − | 1.24342i | 0.366046 | − | 0.128936i | ||||
\(94\) | −2.46337 | − | 4.26669i | −0.254078 | − | 0.440075i | ||||
\(95\) | 1.39602 | 0.143229 | ||||||||
\(96\) | 18.3128 | − | 21.3692i | 1.86905 | − | 2.18099i | ||||
\(97\) | 11.8628 | − | 3.17864i | 1.20449 | − | 0.322742i | 0.399892 | − | 0.916562i | \(-0.369048\pi\) |
0.804598 | + | 0.593820i | \(0.202381\pi\) | |||||||
\(98\) | −0.693172 | + | 2.58695i | −0.0700210 | + | 0.261322i | ||||
\(99\) | −0.810598 | − | 0.593079i | −0.0814681 | − | 0.0596066i | ||||
\(100\) | −6.62854 | − | 11.4810i | −0.662854 | − | 1.14810i | ||||
\(101\) | 6.12596 | 0.609556 | 0.304778 | − | 0.952423i | \(-0.401418\pi\) | ||||
0.304778 | + | 0.952423i | \(0.401418\pi\) | |||||||
\(102\) | −21.3264 | − | 3.98945i | −2.11163 | − | 0.395014i | ||||
\(103\) | 16.9382 | + | 9.77929i | 1.66897 | + | 0.963582i | 0.968193 | + | 0.250203i | \(0.0804974\pi\) |
0.700779 | + | 0.713378i | \(0.252836\pi\) | |||||||
\(104\) | 13.9949 | + | 27.2550i | 1.37232 | + | 2.67257i | ||||
\(105\) | 2.23097 | − | 1.52783i | 0.217721 | − | 0.149101i | ||||
\(106\) | 13.1703 | + | 13.1703i | 1.27922 | + | 1.27922i | ||||
\(107\) | 5.51934 | + | 3.18659i | 0.533575 | + | 0.308060i | 0.742471 | − | 0.669878i | \(-0.233654\pi\) |
−0.208896 | + | 0.977938i | \(0.566987\pi\) | |||||||
\(108\) | 6.14376 | + | 26.1672i | 0.591183 | + | 2.51794i | ||||
\(109\) | −11.3751 | − | 11.3751i | −1.08954 | − | 1.08954i | −0.995576 | − | 0.0939620i | \(-0.970047\pi\) |
−0.0939620 | − | 0.995576i | \(-0.529953\pi\) | |||||||
\(110\) | 0.362299 | + | 1.35212i | 0.0345439 | + | 0.128919i | ||||
\(111\) | −4.67268 | − | 13.2656i | −0.443511 | − | 1.25911i | ||||
\(112\) | 3.21257 | + | 11.9895i | 0.303559 | + | 1.13290i | ||||
\(113\) | − | 6.83436i | − | 0.642922i | −0.946923 | − | 0.321461i | \(-0.895826\pi\) | ||
0.946923 | − | 0.321461i | \(-0.104174\pi\) | |||||||
\(114\) | −2.34383 | − | 3.42252i | −0.219520 | − | 0.320548i | ||||
\(115\) | 1.12114 | − | 1.12114i | 0.104547 | − | 0.104547i | ||||
\(116\) | −49.4584 | −4.59210 | ||||||||
\(117\) | −10.6831 | − | 1.69426i | −0.987657 | − | 0.156635i | ||||
\(118\) | −4.63145 | −0.426360 | ||||||||
\(119\) | 3.30724 | − | 3.30724i | 0.303174 | − | 0.303174i | ||||
\(120\) | 9.92646 | − | 20.7222i | 0.906158 | − | 1.89167i | ||||
\(121\) | − | 10.8879i | − | 0.989810i | ||||||
\(122\) | −4.21372 | − | 15.7258i | −0.381492 | − | 1.42375i | ||||
\(123\) | 6.36894 | + | 1.19141i | 0.574268 | + | 0.107426i | ||||
\(124\) | 2.89293 | + | 10.7965i | 0.259792 | + | 0.969558i | ||||
\(125\) | −8.34857 | − | 8.34857i | −0.746719 | − | 0.746719i | ||||
\(126\) | −7.49132 | − | 2.90438i | −0.667380 | − | 0.258743i | ||||
\(127\) | −11.5329 | − | 6.65853i | −1.02338 | − | 0.590849i | −0.108299 | − | 0.994118i | \(-0.534541\pi\) |
−0.915081 | + | 0.403269i | \(0.867874\pi\) | |||||||
\(128\) | 12.4185 | + | 12.4185i | 1.09765 | + | 1.09765i | ||||
\(129\) | 7.15041 | + | 3.42523i | 0.629559 | + | 0.301575i | ||||
\(130\) | 10.1223 | + | 11.1713i | 0.887782 | + | 0.979785i | ||||
\(131\) | −8.33050 | − | 4.80961i | −0.727839 | − | 0.420218i | 0.0897921 | − | 0.995961i | \(-0.471380\pi\) |
−0.817631 | + | 0.575743i | \(0.804713\pi\) | |||||||
\(132\) | 1.95193 | − | 2.27770i | 0.169893 | − | 0.198248i | ||||
\(133\) | 0.894230 | 0.0775396 | ||||||||
\(134\) | −14.4511 | − | 25.0300i | −1.24838 | − | 2.16226i | ||||
\(135\) | 3.83493 | + | 7.14820i | 0.330058 | + | 0.615219i | ||||
\(136\) | 10.2865 | − | 38.3897i | 0.882059 | − | 3.29189i | ||||
\(137\) | −0.0110966 | + | 0.00297332i | −0.000948045 | + | 0.000254028i | −0.259293 | − | 0.965799i | \(-0.583490\pi\) |
0.258345 | + | 0.966053i | \(0.416823\pi\) | |||||||
\(138\) | −4.63095 | − | 0.866294i | −0.394212 | − | 0.0737438i | ||||
\(139\) | 7.42576 | 0.629845 | 0.314922 | − | 0.949117i | \(-0.398022\pi\) | ||||
0.314922 | + | 0.949117i | \(0.398022\pi\) | |||||||
\(140\) | 4.03775 | + | 6.99360i | 0.341252 | + | 0.591067i | ||||
\(141\) | −0.585871 | + | 3.13189i | −0.0493393 | + | 0.263753i | ||||
\(142\) | 8.93504 | − | 5.15865i | 0.749812 | − | 0.432904i | ||||
\(143\) | 0.551397 | + | 1.07384i | 0.0461102 | + | 0.0897990i | ||||
\(144\) | −36.7980 | + | 5.70237i | −3.06650 | + | 0.475197i | ||||
\(145\) | −14.4178 | + | 3.86324i | −1.19733 | + | 0.320825i | ||||
\(146\) | − | 44.7956i | − | 3.70731i | ||||||
\(147\) | 1.42906 | − | 0.978660i | 0.117867 | − | 0.0807185i | ||||
\(148\) | 40.5727 | − | 10.8714i | 3.33505 | − | 0.893625i | ||||
\(149\) | −4.32036 | + | 4.32036i | −0.353938 | + | 0.353938i | −0.861572 | − | 0.507635i | \(-0.830520\pi\) |
0.507635 | + | 0.861572i | \(0.330520\pi\) | |||||||
\(150\) | −2.18601 | + | 11.6858i | −0.178487 | + | 0.954139i | ||||
\(151\) | −6.69178 | − | 1.79306i | −0.544570 | − | 0.145917i | −0.0239617 | − | 0.999713i | \(-0.507628\pi\) |
−0.520608 | + | 0.853796i | \(0.674295\pi\) | |||||||
\(152\) | 6.58067 | − | 3.79935i | 0.533763 | − | 0.308168i | ||||
\(153\) | 8.79381 | + | 10.9339i | 0.710938 | + | 0.883953i | ||||
\(154\) | 0.232073 | + | 0.866109i | 0.0187010 | + | 0.0697930i | ||||
\(155\) | 1.68666 | + | 2.92137i | 0.135475 | + | 0.234650i | ||||
\(156\) | 7.49520 | − | 31.4227i | 0.600096 | − | 2.51583i | ||||
\(157\) | 9.04041 | − | 15.6584i | 0.721503 | − | 1.24968i | −0.238894 | − | 0.971046i | \(-0.576785\pi\) |
0.960397 | − | 0.278634i | \(-0.0898817\pi\) | |||||||
\(158\) | −17.0942 | − | 4.58038i | −1.35994 | − | 0.364395i | ||||
\(159\) | −0.925039 | − | 12.0100i | −0.0733603 | − | 0.952456i | ||||
\(160\) | 21.9673 | + | 12.6828i | 1.73667 | + | 1.00266i | ||||
\(161\) | 0.718155 | − | 0.718155i | 0.0565985 | − | 0.0565985i | ||||
\(162\) | 11.0861 | − | 21.4032i | 0.871006 | − | 1.68159i | ||||
\(163\) | 24.0441 | + | 6.44260i | 1.88328 | + | 0.504624i | 0.999312 | + | 0.0370776i | \(0.0118049\pi\) |
0.883969 | + | 0.467546i | \(0.154862\pi\) | |||||||
\(164\) | −5.00840 | + | 18.6916i | −0.391090 | + | 1.45957i | ||||
\(165\) | 0.391100 | − | 0.816448i | 0.0304471 | − | 0.0635604i | ||||
\(166\) | −29.7555 | + | 17.1793i | −2.30947 | + | 1.33338i | ||||
\(167\) | −5.83973 | + | 21.7942i | −0.451892 | + | 1.68648i | 0.245175 | + | 0.969479i | \(0.421155\pi\) |
−0.697067 | + | 0.717006i | \(0.745512\pi\) | |||||||
\(168\) | 6.35846 | − | 13.2737i | 0.490566 | − | 1.02409i | ||||
\(169\) | 10.5649 | + | 7.57510i | 0.812688 | + | 0.582700i | ||||
\(170\) | − | 19.5555i | − | 1.49984i | ||||||
\(171\) | −0.289323 | + | 2.66704i | −0.0221251 | + | 0.203954i | ||||
\(172\) | −11.8393 | + | 20.5063i | −0.902738 | + | 1.56359i | ||||
\(173\) | −5.83155 | + | 10.1005i | −0.443364 | + | 0.767930i | −0.997937 | − | 0.0642059i | \(-0.979549\pi\) |
0.554572 | + | 0.832136i | \(0.312882\pi\) | |||||||
\(174\) | 33.6778 | + | 28.8609i | 2.55311 | + | 2.18794i | ||||
\(175\) | −1.81220 | − | 1.81220i | −0.136989 | − | 0.136989i | ||||
\(176\) | 2.93849 | + | 2.93849i | 0.221497 | + | 0.221497i | ||||
\(177\) | 2.27435 | + | 1.94906i | 0.170951 | + | 0.146500i | ||||
\(178\) | −1.63894 | + | 2.83872i | −0.122843 | + | 0.212771i | ||||
\(179\) | −7.45449 | + | 12.9116i | −0.557175 | + | 0.965055i | 0.440556 | + | 0.897725i | \(0.354781\pi\) |
−0.997731 | + | 0.0673301i | \(0.978552\pi\) | |||||||
\(180\) | −22.1648 | + | 9.77987i | −1.65207 | + | 0.728949i | ||||
\(181\) | 7.82099i | 0.581329i | 0.956825 | + | 0.290665i | \(0.0938764\pi\) | ||||
−0.956825 | + | 0.290665i | \(0.906124\pi\) | |||||||
\(182\) | 6.48388 | + | 7.15583i | 0.480618 | + | 0.530425i | ||||
\(183\) | −4.54868 | + | 9.49569i | −0.336248 | + | 0.701942i | ||||
\(184\) | 2.23367 | − | 8.33618i | 0.164668 | − | 0.614551i | ||||
\(185\) | 10.9783 | − | 6.33834i | 0.807142 | − | 0.466004i | ||||
\(186\) | 4.33032 | − | 9.03985i | 0.317515 | − | 0.662834i | ||||
\(187\) | 0.405285 | − | 1.51254i | 0.0296374 | − | 0.110608i | ||||
\(188\) | −9.19150 | − | 2.46285i | −0.670359 | − | 0.179622i | ||||
\(189\) | 2.45649 | + | 4.57883i | 0.178683 | + | 0.333061i | ||||
\(190\) | 2.64376 | − | 2.64376i | 0.191798 | − | 0.191798i | ||||
\(191\) | −4.26270 | − | 2.46107i | −0.308438 | − | 0.178077i | 0.337789 | − | 0.941222i | \(-0.390321\pi\) |
−0.646227 | + | 0.763145i | \(0.723654\pi\) | |||||||
\(192\) | −2.48615 | − | 32.2783i | −0.179422 | − | 2.32948i | ||||
\(193\) | 20.5129 | + | 5.49640i | 1.47655 | + | 0.395640i | 0.905171 | − | 0.425048i | \(-0.139743\pi\) |
0.571377 | + | 0.820688i | \(0.306409\pi\) | |||||||
\(194\) | 16.4460 | − | 28.4853i | 1.18075 | − | 2.04512i | ||||
\(195\) | −0.269501 | − | 9.74561i | −0.0192994 | − | 0.697897i | ||||
\(196\) | 2.58641 | + | 4.47979i | 0.184744 | + | 0.319985i | ||||
\(197\) | 6.31085 | + | 23.5524i | 0.449630 | + | 1.67804i | 0.703414 | + | 0.710780i | \(0.251658\pi\) |
−0.253784 | + | 0.967261i | \(0.581675\pi\) | |||||||
\(198\) | −2.65826 | + | 0.411934i | −0.188914 | + | 0.0292749i | ||||
\(199\) | −15.1832 | + | 8.76601i | −1.07631 | + | 0.621406i | −0.929898 | − | 0.367818i | \(-0.880105\pi\) |
−0.146409 | + | 0.989224i | \(0.546772\pi\) | |||||||
\(200\) | −21.0356 | − | 5.63646i | −1.48744 | − | 0.398558i | ||||
\(201\) | −3.43694 | + | 18.3729i | −0.242423 | + | 1.29592i | ||||
\(202\) | 11.6012 | − | 11.6012i | 0.816260 | − | 0.816260i | ||||
\(203\) | −9.23542 | + | 2.47462i | −0.648199 | + | 0.173684i | ||||
\(204\) | −34.5748 | + | 23.6777i | −2.42072 | + | 1.65777i | ||||
\(205\) | 5.84007i | 0.407888i | ||||||||
\(206\) | 50.5971 | − | 13.5575i | 3.52527 | − | 0.944593i | ||||
\(207\) | 1.90954 | + | 2.37425i | 0.132722 | + | 0.165022i | ||||
\(208\) | 42.6064 | + | 13.6961i | 2.95422 | + | 0.949652i | ||||
\(209\) | 0.259277 | − | 0.149693i | 0.0179345 | − | 0.0103545i | ||||
\(210\) | 1.33160 | − | 7.11835i | 0.0918893 | − | 0.491213i | ||||
\(211\) | 13.9841 | + | 24.2211i | 0.962702 | + | 1.66745i | 0.715667 | + | 0.698442i | \(0.246123\pi\) |
0.247035 | + | 0.969006i | \(0.420544\pi\) | |||||||
\(212\) | 35.9745 | 2.47074 | ||||||||
\(213\) | −6.55862 | − | 1.22690i | −0.449390 | − | 0.0840656i | ||||
\(214\) | 16.4871 | − | 4.41772i | 1.12704 | − | 0.301989i | ||||
\(215\) | −1.84956 | + | 6.90264i | −0.126139 | + | 0.470756i | ||||
\(216\) | 37.5316 | + | 23.2588i | 2.55370 | + | 1.58256i | ||||
\(217\) | 1.08040 | + | 1.87130i | 0.0733422 | + | 0.127032i | ||||
\(218\) | −43.0839 | −2.91801 | ||||||||
\(219\) | −18.8514 | + | 21.9976i | −1.27386 | + | 1.48646i | ||||
\(220\) | 2.34145 | + | 1.35183i | 0.157860 | + | 0.0911407i | ||||
\(221\) | −3.55787 | − | 16.4841i | −0.239328 | − | 1.10884i | ||||
\(222\) | −33.9711 | − | 16.2731i | −2.27999 | − | 1.09218i | ||||
\(223\) | −3.74758 | − | 3.74758i | −0.250957 | − | 0.250957i | 0.570406 | − | 0.821363i | \(-0.306786\pi\) |
−0.821363 | + | 0.570406i | \(0.806786\pi\) | |||||||
\(224\) | 14.0713 | + | 8.12406i | 0.940177 | + | 0.542811i | ||||
\(225\) | 5.99121 | − | 4.81855i | 0.399414 | − | 0.321237i | ||||
\(226\) | −12.9428 | − | 12.9428i | −0.860941 | − | 0.860941i | ||||
\(227\) | −5.46373 | − | 20.3909i | −0.362641 | − | 1.35339i | −0.870591 | − | 0.492007i | \(-0.836263\pi\) |
0.507950 | − | 0.861386i | \(-0.330403\pi\) | |||||||
\(228\) | −7.87532 | − | 1.47321i | −0.521556 | − | 0.0975655i | ||||
\(229\) | −3.16177 | − | 11.7999i | −0.208935 | − | 0.779757i | −0.988214 | − | 0.153080i | \(-0.951081\pi\) |
0.779278 | − | 0.626678i | \(-0.215586\pi\) | |||||||
\(230\) | − | 4.24640i | − | 0.279999i | ||||||
\(231\) | 0.250522 | − | 0.522981i | 0.0164831 | − | 0.0344096i | ||||
\(232\) | −57.4497 | + | 57.4497i | −3.77176 | + | 3.77176i | ||||
\(233\) | 23.1983 | 1.51977 | 0.759885 | − | 0.650058i | \(-0.225255\pi\) | ||||
0.759885 | + | 0.650058i | \(0.225255\pi\) | |||||||
\(234\) | −23.4401 | + | 17.0230i | −1.53233 | + | 1.11283i | ||||
\(235\) | −2.87182 | −0.187337 | ||||||||
\(236\) | −6.32535 | + | 6.32535i | −0.411745 | + | 0.411745i | ||||
\(237\) | 6.46684 | + | 9.44304i | 0.420066 | + | 0.613392i | ||||
\(238\) | − | 12.5264i | − | 0.811965i | ||||||
\(239\) | 4.97762 | + | 18.5767i | 0.321976 | + | 1.20163i | 0.917317 | + | 0.398157i | \(0.130350\pi\) |
−0.595342 | + | 0.803472i | \(0.702983\pi\) | |||||||
\(240\) | −11.1507 | − | 31.6564i | −0.719775 | − | 2.04341i | ||||
\(241\) | 4.74925 | + | 17.7244i | 0.305926 | + | 1.14173i | 0.932145 | + | 0.362084i | \(0.117935\pi\) |
−0.626219 | + | 0.779647i | \(0.715399\pi\) | |||||||
\(242\) | −20.6193 | − | 20.6193i | −1.32546 | − | 1.32546i | ||||
\(243\) | −14.4511 | + | 5.84503i | −0.927041 | + | 0.374959i | ||||
\(244\) | −27.2322 | − | 15.7225i | −1.74336 | − | 1.00653i | ||||
\(245\) | 1.10389 | + | 1.10389i | 0.0705252 | + | 0.0705252i | ||||
\(246\) | 14.3177 | − | 9.80510i | 0.912860 | − | 0.625150i | ||||
\(247\) | 1.74753 | − | 2.70953i | 0.111193 | − | 0.172403i | ||||
\(248\) | 15.9014 | + | 9.18066i | 1.00974 | + | 0.582972i | ||||
\(249\) | 21.8415 | + | 4.08581i | 1.38415 | + | 0.258928i | ||||
\(250\) | −31.6207 | −1.99987 | ||||||||
\(251\) | −5.51847 | − | 9.55827i | −0.348323 | − | 0.603313i | 0.637629 | − | 0.770344i | \(-0.279915\pi\) |
−0.985952 | + | 0.167031i | \(0.946582\pi\) | |||||||
\(252\) | −14.1978 | + | 6.26456i | −0.894378 | + | 0.394630i | ||||
\(253\) | 0.0880061 | − | 0.328443i | 0.00553290 | − | 0.0206491i | ||||
\(254\) | −34.4506 | + | 9.23102i | −2.16163 | + | 0.579206i | ||||
\(255\) | −8.22955 | + | 9.60306i | −0.515354 | + | 0.601367i | ||||
\(256\) | 9.65370 | 0.603356 | ||||||||
\(257\) | 1.77771 | + | 3.07909i | 0.110891 | + | 0.192068i | 0.916130 | − | 0.400882i | \(-0.131296\pi\) |
−0.805239 | + | 0.592950i | \(0.797963\pi\) | |||||||
\(258\) | 20.0280 | − | 7.05467i | 1.24689 | − | 0.439205i | ||||
\(259\) | 7.03224 | − | 4.06006i | 0.436962 | − | 0.252280i | ||||
\(260\) | 29.0814 | + | 1.43266i | 1.80355 | + | 0.0888498i | ||||
\(261\) | −4.39250 | − | 28.3453i | −0.271889 | − | 1.75453i | ||||
\(262\) | −24.8845 | + | 6.66778i | −1.53737 | + | 0.411937i | ||||
\(263\) | 20.3100i | 1.25237i | 0.779675 | + | 0.626184i | \(0.215384\pi\) | ||||
−0.779675 | + | 0.626184i | \(0.784616\pi\) | |||||||
\(264\) | −0.378413 | − | 4.91304i | −0.0232897 | − | 0.302376i | ||||
\(265\) | 10.4871 | − | 2.81000i | 0.644215 | − | 0.172617i | ||||
\(266\) | 1.69348 | − | 1.69348i | 0.103834 | − | 0.103834i | ||||
\(267\) | 1.99945 | − | 0.704288i | 0.122364 | − | 0.0431017i | ||||
\(268\) | −53.9208 | − | 14.4480i | −3.29374 | − | 0.882554i | ||||
\(269\) | 17.0651 | − | 9.85253i | 1.04048 | − | 0.600719i | 0.120508 | − | 0.992712i | \(-0.461548\pi\) |
0.919968 | + | 0.391993i | \(0.128214\pi\) | |||||||
\(270\) | 20.7997 | + | 6.27461i | 1.26583 | + | 0.381861i | ||||
\(271\) | −0.664827 | − | 2.48117i | −0.0403854 | − | 0.150720i | 0.942789 | − | 0.333390i | \(-0.108193\pi\) |
−0.983174 | + | 0.182670i | \(0.941526\pi\) | |||||||
\(272\) | −29.0273 | − | 50.2768i | −1.76004 | − | 3.04848i | ||||
\(273\) | −0.172631 | − | 6.24261i | −0.0104481 | − | 0.377820i | ||||
\(274\) | −0.0153837 | + | 0.0266453i | −0.000929362 | + | 0.00160970i | ||||
\(275\) | −0.828796 | − | 0.222075i | −0.0499783 | − | 0.0133916i | ||||
\(276\) | −7.50779 | + | 5.14153i | −0.451916 | + | 0.309484i | ||||
\(277\) | 16.6632 | + | 9.62053i | 1.00120 | + | 0.578042i | 0.908602 | − | 0.417662i | \(-0.137150\pi\) |
0.0925952 | + | 0.995704i | \(0.470484\pi\) | |||||||
\(278\) | 14.0628 | − | 14.0628i | 0.843429 | − | 0.843429i | ||||
\(279\) | −5.93073 | + | 2.61684i | −0.355063 | + | 0.156666i | ||||
\(280\) | 12.8138 | + | 3.43344i | 0.765769 | + | 0.205187i | ||||
\(281\) | −1.65349 | + | 6.17091i | −0.0986390 | + | 0.368126i | −0.997546 | − | 0.0700136i | \(-0.977696\pi\) |
0.898907 | + | 0.438139i | \(0.144362\pi\) | |||||||
\(282\) | 4.82161 | + | 7.04064i | 0.287123 | + | 0.419264i | ||||
\(283\) | 24.3681 | − | 14.0689i | 1.44853 | − | 0.836310i | 0.450136 | − | 0.892960i | \(-0.351375\pi\) |
0.998394 | + | 0.0566503i | \(0.0180420\pi\) | |||||||
\(284\) | 5.15756 | − | 19.2483i | 0.306045 | − | 1.14218i | ||||
\(285\) | −2.41084 | + | 0.185688i | −0.142806 | + | 0.0109992i | ||||
\(286\) | 3.07784 | + | 0.989392i | 0.181997 | + | 0.0585040i | ||||
\(287\) | 3.74089i | 0.220818i | ||||||||
\(288\) | −28.7827 | + | 39.3391i | −1.69604 | + | 2.31808i | ||||
\(289\) | −2.43785 | + | 4.22247i | −0.143403 | + | 0.248381i | ||||
\(290\) | −19.9880 | + | 34.6203i | −1.17374 | + | 2.03297i | ||||
\(291\) | −20.0636 | + | 7.06722i | −1.17615 | + | 0.414288i | ||||
\(292\) | −61.1790 | − | 61.1790i | −3.58023 | − | 3.58023i | ||||
\(293\) | −11.3078 | − | 11.3078i | −0.660608 | − | 0.660608i | 0.294915 | − | 0.955523i | \(-0.404709\pi\) |
−0.955523 | + | 0.294915i | \(0.904709\pi\) | |||||||
\(294\) | 0.852967 | − | 4.55970i | 0.0497460 | − | 0.265927i | ||||
\(295\) | −1.34985 | + | 2.33800i | −0.0785912 | + | 0.136124i | ||||
\(296\) | 34.5003 | − | 59.7563i | 2.00529 | − | 3.47326i | ||||
\(297\) | 1.47874 | + | 0.916389i | 0.0858050 | + | 0.0531743i | ||||
\(298\) | 16.3637i | 0.947921i | ||||||||
\(299\) | −0.772577 | − | 3.57946i | −0.0446793 | − | 0.207005i | ||||
\(300\) | 12.9742 | + | 18.9452i | 0.749064 | + | 1.09380i | ||||
\(301\) | −1.18474 | + | 4.42153i | −0.0682876 | + | 0.254853i | ||||
\(302\) | −16.0684 | + | 9.27712i | −0.924635 | + | 0.533838i | ||||
\(303\) | −10.5791 | + | 0.814830i | −0.607756 | + | 0.0468107i | ||||
\(304\) | 2.87278 | − | 10.7213i | 0.164765 | − | 0.614911i | ||||
\(305\) | −9.16665 | − | 2.45620i | −0.524881 | − | 0.140641i | ||||
\(306\) | 37.3600 | + | 4.05284i | 2.13573 | + | 0.231686i | ||||
\(307\) | −12.6260 | + | 12.6260i | −0.720605 | + | 0.720605i | −0.968728 | − | 0.248123i | \(-0.920186\pi\) |
0.248123 | + | 0.968728i | \(0.420186\pi\) | |||||||
\(308\) | 1.49983 | + | 0.865926i | 0.0854606 | + | 0.0493407i | ||||
\(309\) | −30.5520 | − | 14.6352i | −1.73804 | − | 0.832568i | ||||
\(310\) | 8.72660 | + | 2.33829i | 0.495638 | + | 0.132806i | ||||
\(311\) | 15.4537 | − | 26.7665i | 0.876296 | − | 1.51779i | 0.0209210 | − | 0.999781i | \(-0.493340\pi\) |
0.855375 | − | 0.518009i | \(-0.173327\pi\) | |||||||
\(312\) | −27.7936 | − | 45.2061i | −1.57350 | − | 2.55929i | ||||
\(313\) | −5.69017 | − | 9.85567i | −0.321628 | − | 0.557075i | 0.659196 | − | 0.751971i | \(-0.270897\pi\) |
−0.980824 | + | 0.194896i | \(0.937563\pi\) | |||||||
\(314\) | −12.5331 | − | 46.7742i | −0.707285 | − | 2.63962i | ||||
\(315\) | −3.64953 | + | 2.93521i | −0.205628 | + | 0.165380i | ||||
\(316\) | −29.6018 | + | 17.0906i | −1.66523 | + | 0.961422i | ||||
\(317\) | −14.0581 | − | 3.76686i | −0.789582 | − | 0.211568i | −0.158577 | − | 0.987347i | \(-0.550691\pi\) |
−0.631005 | + | 0.775779i | \(0.717357\pi\) | |||||||
\(318\) | −24.4962 | − | 20.9925i | −1.37368 | − | 1.17720i | ||||
\(319\) | −2.26350 | + | 2.26350i | −0.126732 | + | 0.126732i | ||||
\(320\) | 28.1852 | − | 7.55219i | 1.57560 | − | 0.422180i | ||||
\(321\) | −9.95541 | − | 4.76890i | −0.555657 | − | 0.266174i | ||||
\(322\) | − | 2.72006i | − | 0.151583i | ||||||
\(323\) | −4.03993 | + | 1.08250i | −0.224788 | + | 0.0602317i | ||||
\(324\) | −14.0904 | − | 44.3719i | −0.782802 | − | 2.46510i | ||||
\(325\) | −9.03243 | + | 1.94953i | −0.501029 | + | 0.108140i | ||||
\(326\) | 57.7352 | − | 33.3334i | 3.19766 | − | 1.84617i | ||||
\(327\) | 21.1571 | + | 18.1311i | 1.16999 | + | 1.00265i | ||||
\(328\) | 15.8941 | + | 27.5293i | 0.877604 | + | 1.52005i | ||||
\(329\) | −1.83957 | −0.101419 | ||||||||
\(330\) | −0.805516 | − | 2.28683i | −0.0443422 | − | 0.125886i | ||||
\(331\) | −24.5896 | + | 6.58876i | −1.35157 | + | 0.362151i | −0.860713 | − | 0.509091i | \(-0.829982\pi\) |
−0.490854 | + | 0.871242i | \(0.663315\pi\) | |||||||
\(332\) | −17.1757 | + | 64.1007i | −0.942640 | + | 3.51798i | ||||
\(333\) | 9.83391 | + | 22.2873i | 0.538895 | + | 1.22133i | ||||
\(334\) | 30.2142 | + | 52.3326i | 1.65325 | + | 2.86351i | ||||
\(335\) | −16.8472 | −0.920462 | ||||||||
\(336\) | −7.14265 | − | 20.2777i | −0.389664 | − | 1.10624i | ||||
\(337\) | 11.1467 | + | 6.43554i | 0.607198 | + | 0.350566i | 0.771868 | − | 0.635783i | \(-0.219323\pi\) |
−0.164670 | + | 0.986349i | \(0.552656\pi\) | |||||||
\(338\) | 34.3533 | − | 5.66211i | 1.86857 | − | 0.307978i | ||||
\(339\) | 0.909055 | + | 11.8025i | 0.0493731 | + | 0.641024i | ||||
\(340\) | −26.7077 | − | 26.7077i | −1.44843 | − | 1.44843i | ||||
\(341\) | 0.626510 | + | 0.361716i | 0.0339274 | + | 0.0195880i | ||||
\(342\) | 4.50288 | + | 5.59871i | 0.243488 | + | 0.302744i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 10.0673 | + | 37.5718i | 0.542795 | + | 2.02574i | ||||
\(345\) | −1.78701 | + | 2.08527i | −0.0962096 | + | 0.112267i | ||||
\(346\) | 8.08453 | + | 30.1719i | 0.434627 | + | 1.62205i | ||||
\(347\) | 13.8883i | 0.745563i | 0.927919 | + | 0.372781i | \(0.121596\pi\) | ||||
−0.927919 | + | 0.372781i | \(0.878404\pi\) | |||||||
\(348\) | 85.4115 | − | 6.57859i | 4.57854 | − | 0.352649i | ||||
\(349\) | −10.9479 | + | 10.9479i | −0.586028 | + | 0.586028i | −0.936553 | − | 0.350525i | \(-0.886003\pi\) |
0.350525 | + | 0.936553i | \(0.386003\pi\) | |||||||
\(350\) | −6.86381 | −0.366886 | ||||||||
\(351\) | 18.6745 | + | 1.50489i | 0.996769 | + | 0.0803252i | ||||
\(352\) | 5.43985 | 0.289945 | ||||||||
\(353\) | 9.08231 | − | 9.08231i | 0.483402 | − | 0.483402i | −0.422814 | − | 0.906216i | \(-0.638958\pi\) |
0.906216 | + | 0.422814i | \(0.138958\pi\) | |||||||
\(354\) | 7.99822 | − | 0.616041i | 0.425101 | − | 0.0327422i | ||||
\(355\) | − | 6.01400i | − | 0.319190i | ||||||
\(356\) | 1.63859 | + | 6.11531i | 0.0868452 | + | 0.324111i | ||||
\(357\) | −5.27149 | + | 6.15130i | −0.278997 | + | 0.325561i | ||||
\(358\) | 10.3345 | + | 38.5689i | 0.546195 | + | 2.03843i | ||||
\(359\) | −4.50071 | − | 4.50071i | −0.237538 | − | 0.237538i | 0.578292 | − | 0.815830i | \(-0.303720\pi\) |
−0.815830 | + | 0.578292i | \(0.803720\pi\) | |||||||
\(360\) | −14.3861 | + | 37.1062i | −0.758212 | + | 1.95567i | ||||
\(361\) | 15.7620 | + | 9.10018i | 0.829577 | + | 0.478957i | ||||
\(362\) | 14.8112 | + | 14.8112i | 0.778462 | + | 0.778462i | ||||
\(363\) | 1.44823 | + | 18.8027i | 0.0760123 | + | 0.986887i | ||||
\(364\) | 18.6283 | + | 0.917699i | 0.976387 | + | 0.0481005i | ||||
\(365\) | −22.6133 | − | 13.0558i | −1.18363 | − | 0.683371i | ||||
\(366\) | 9.36855 | + | 26.5970i | 0.489702 | + | 1.39025i | ||||
\(367\) | −5.36918 | −0.280269 | −0.140134 | − | 0.990132i | \(-0.544753\pi\) | ||||
−0.140134 | + | 0.990132i | \(0.544753\pi\) | |||||||
\(368\) | −6.30317 | − | 10.9174i | −0.328576 | − | 0.569110i | ||||
\(369\) | −11.1572 | − | 1.21034i | −0.580822 | − | 0.0630080i | ||||
\(370\) | 8.78712 | − | 32.7940i | 0.456821 | − | 1.70488i | ||||
\(371\) | 6.71755 | − | 1.79996i | 0.348758 | − | 0.0934494i | ||||
\(372\) | −6.43197 | − | 18.2601i | −0.333482 | − | 0.946744i | ||||
\(373\) | 18.1813 | 0.941393 | 0.470696 | − | 0.882295i | \(-0.344003\pi\) | ||||
0.470696 | + | 0.882295i | \(0.344003\pi\) | |||||||
\(374\) | −2.09691 | − | 3.63195i | −0.108429 | − | 0.187804i | ||||
\(375\) | 15.5279 | + | 13.3070i | 0.801858 | + | 0.687170i | ||||
\(376\) | −13.5374 | + | 7.81584i | −0.698139 | + | 0.403071i | ||||
\(377\) | −10.5500 | + | 32.8194i | −0.543353 | + | 1.69029i | ||||
\(378\) | 13.3234 | + | 4.01924i | 0.685279 | + | 0.206727i | ||||
\(379\) | 7.51896 | − | 2.01470i | 0.386223 | − | 0.103488i | −0.0604825 | − | 0.998169i | \(-0.519264\pi\) |
0.446705 | + | 0.894681i | \(0.352597\pi\) | |||||||
\(380\) | − | 7.22136i | − | 0.370448i | ||||||
\(381\) | 20.8023 | + | 9.96484i | 1.06573 | + | 0.510514i | ||||
\(382\) | −12.7334 | + | 3.41189i | −0.651496 | + | 0.174568i | ||||
\(383\) | 0.198805 | − | 0.198805i | 0.0101585 | − | 0.0101585i | −0.702009 | − | 0.712168i | \(-0.747714\pi\) |
0.712168 | + | 0.702009i | \(0.247714\pi\) | |||||||
\(384\) | −23.0978 | − | 19.7941i | −1.17870 | − | 1.01011i | ||||
\(385\) | 0.504859 | + | 0.135277i | 0.0257300 | + | 0.00689433i | ||||
\(386\) | 49.2559 | − | 28.4379i | 2.50706 | − | 1.44745i | ||||
\(387\) | −12.8039 | − | 4.96407i | −0.650859 | − | 0.252338i | ||||
\(388\) | −16.4425 | − | 61.3644i | −0.834743 | − | 3.11530i | ||||
\(389\) | −18.5788 | − | 32.1795i | −0.941984 | − | 1.63156i | −0.761680 | − | 0.647953i | \(-0.775625\pi\) |
−0.180304 | − | 0.983611i | \(-0.557708\pi\) | |||||||
\(390\) | −18.9664 | − | 17.9457i | −0.960403 | − | 0.908715i | ||||
\(391\) | −2.37511 | + | 4.11381i | −0.120115 | + | 0.208044i | ||||
\(392\) | 8.20794 | + | 2.19931i | 0.414563 | + | 0.111082i | ||||
\(393\) | 15.0260 | + | 7.19784i | 0.757960 | + | 0.363083i | ||||
\(394\) | 56.5545 | + | 32.6518i | 2.84918 | + | 1.64497i | ||||
\(395\) | −7.29437 | + | 7.29437i | −0.367020 | + | 0.367020i | ||||
\(396\) | −3.06789 | + | 4.19307i | −0.154167 | + | 0.210710i | ||||
\(397\) | 15.1375 | + | 4.05609i | 0.759731 | + | 0.203569i | 0.617830 | − | 0.786312i | \(-0.288012\pi\) |
0.141901 | + | 0.989881i | \(0.454679\pi\) | |||||||
\(398\) | −12.1527 | + | 45.3545i | −0.609160 | + | 2.27342i | ||||
\(399\) | −1.54428 | + | 0.118944i | −0.0773106 | + | 0.00595464i | ||||
\(400\) | −27.5491 | + | 15.9055i | −1.37745 | + | 0.795274i | ||||
\(401\) | −2.37023 | + | 8.84581i | −0.118364 | + | 0.441739i | −0.999517 | − | 0.0310926i | \(-0.990101\pi\) |
0.881153 | + | 0.472831i | \(0.156768\pi\) | |||||||
\(402\) | 28.2854 | + | 41.3030i | 1.41075 | + | 2.06001i | ||||
\(403\) | 7.78142 | + | 0.383342i | 0.387620 | + | 0.0190956i | ||||
\(404\) | − | 31.6885i | − | 1.57656i | ||||||
\(405\) | −7.57348 | − | 11.8344i | −0.376329 | − | 0.588056i | ||||
\(406\) | −12.8035 | + | 22.1763i | −0.635425 | + | 1.10059i | ||||
\(407\) | 1.35930 | − | 2.35438i | 0.0673782 | − | 0.116702i | ||||
\(408\) | −12.6578 | + | 67.6648i | −0.626654 | + | 3.34991i | ||||
\(409\) | −6.05508 | − | 6.05508i | −0.299405 | − | 0.299405i | 0.541376 | − | 0.840781i | \(-0.317904\pi\) |
−0.840781 | + | 0.541376i | \(0.817904\pi\) | |||||||
\(410\) | 11.0598 | + | 11.0598i | 0.546205 | + | 0.546205i | ||||
\(411\) | 0.0187676 | − | 0.00661072i | 0.000925737 | − | 0.000326083i | ||||
\(412\) | 50.5865 | − | 87.6183i | 2.49222 | − | 4.31665i | ||||
\(413\) | −0.864654 | + | 1.49762i | −0.0425468 | + | 0.0736933i | ||||
\(414\) | 8.11257 | + | 0.880059i | 0.398711 | + | 0.0432526i | ||||
\(415\) | 20.0278i | 0.983128i | ||||||||
\(416\) | 52.1145 | − | 26.7599i | 2.55513 | − | 1.31201i | ||||
\(417\) | −12.8238 | + | 0.987719i | −0.627985 | + | 0.0483688i | ||||
\(418\) | 0.207527 | − | 0.774500i | 0.0101505 | − | 0.0378820i | ||||
\(419\) | 11.2862 | − | 6.51610i | 0.551368 | − | 0.318332i | −0.198306 | − | 0.980140i | \(-0.563544\pi\) |
0.749673 | + | 0.661808i | \(0.230211\pi\) | |||||||
\(420\) | −7.90318 | − | 11.5404i | −0.385636 | − | 0.563115i | ||||
\(421\) | 4.54181 | − | 16.9503i | 0.221355 | − | 0.826106i | −0.762478 | − | 0.647014i | \(-0.776017\pi\) |
0.983832 | − | 0.179092i | \(-0.0573160\pi\) | |||||||
\(422\) | 72.3522 | + | 19.3867i | 3.52205 | + | 0.943730i | ||||
\(423\) | 0.595181 | − | 5.48651i | 0.0289387 | − | 0.266763i | ||||
\(424\) | 41.7871 | − | 41.7871i | 2.02936 | − | 2.02936i | ||||
\(425\) | 10.3808 | + | 5.99337i | 0.503544 | + | 0.290721i | ||||
\(426\) | −14.7441 | + | 10.0971i | −0.714353 | + | 0.489207i | ||||
\(427\) | −5.87175 | − | 1.57333i | −0.284154 | − | 0.0761389i | ||||
\(428\) | 16.4837 | − | 28.5506i | 0.796769 | − | 1.38004i | ||||
\(429\) | −1.09506 | − | 1.78111i | −0.0528701 | − | 0.0859928i | ||||
\(430\) | 9.56943 | + | 16.5747i | 0.461479 | + | 0.799305i | ||||
\(431\) | 4.47410 | + | 16.6976i | 0.215510 | + | 0.804293i | 0.985986 | + | 0.166825i | \(0.0533515\pi\) |
−0.770477 | + | 0.637468i | \(0.779982\pi\) | |||||||
\(432\) | 62.7894 | − | 14.7422i | 3.02095 | − | 0.709286i | ||||
\(433\) | 15.4578 | − | 8.92456i | 0.742854 | − | 0.428887i | −0.0802520 | − | 0.996775i | \(-0.525572\pi\) |
0.823106 | + | 0.567888i | \(0.192239\pi\) | |||||||
\(434\) | 5.58988 | + | 1.49780i | 0.268323 | + | 0.0718969i | ||||
\(435\) | 24.3848 | − | 8.58931i | 1.16916 | − | 0.411826i | ||||
\(436\) | −58.8414 | + | 58.8414i | −2.81799 | + | 2.81799i | ||||
\(437\) | −0.877255 | + | 0.235060i | −0.0419648 | + | 0.0112444i | ||||
\(438\) | 5.95837 | + | 77.3591i | 0.284702 | + | 3.69636i | ||||
\(439\) | 4.55477i | 0.217387i | 0.994075 | + | 0.108694i | \(0.0346668\pi\) | ||||
−0.994075 | + | 0.108694i | \(0.965333\pi\) | |||||||
\(440\) | 4.29003 | − | 1.14951i | 0.204519 | − | 0.0548007i | ||||
\(441\) | −2.33773 | + | 1.88017i | −0.111320 | + | 0.0895318i | ||||
\(442\) | −37.9551 | − | 24.4795i | −1.80534 | − | 1.16437i | ||||
\(443\) | 7.52619 | − | 4.34525i | 0.357580 | − | 0.206449i | −0.310439 | − | 0.950593i | \(-0.600476\pi\) |
0.668019 | + | 0.744144i | \(0.267143\pi\) | |||||||
\(444\) | −68.6204 | + | 24.1709i | −3.25658 | + | 1.14710i | ||||
\(445\) | 0.955344 | + | 1.65470i | 0.0452876 | + | 0.0784405i | ||||
\(446\) | −14.1942 | −0.672116 | ||||||||
\(447\) | 6.88633 | − | 8.03565i | 0.325712 | − | 0.380073i | ||||
\(448\) | 18.0542 | − | 4.83760i | 0.852980 | − | 0.228555i | ||||
\(449\) | −1.49509 | + | 5.57974i | −0.0705576 | + | 0.263324i | −0.992189 | − | 0.124741i | \(-0.960190\pi\) |
0.921632 | + | 0.388066i | \(0.126857\pi\) | |||||||
\(450\) | 2.22075 | − | 20.4713i | 0.104687 | − | 0.965028i | ||||
\(451\) | 0.626223 | + | 1.08465i | 0.0294877 | + | 0.0510741i | ||||
\(452\) | −35.3529 | −1.66286 | ||||||||
\(453\) | 11.7948 | + | 2.20640i | 0.554167 | + | 0.103666i | ||||
\(454\) | −48.9631 | − | 28.2689i | −2.29795 | − | 1.32672i | ||||
\(455\) | 5.50208 | − | 1.18755i | 0.257942 | − | 0.0556732i | ||||
\(456\) | −10.8590 | + | 7.43655i | −0.508521 | + | 0.348248i | ||||
\(457\) | 5.87787 | + | 5.87787i | 0.274955 | + | 0.274955i | 0.831091 | − | 0.556136i | \(-0.187717\pi\) |
−0.556136 | + | 0.831091i | \(0.687717\pi\) | |||||||
\(458\) | −28.3341 | − | 16.3587i | −1.32396 | − | 0.764391i | ||||
\(459\) | −16.6407 | − | 17.7124i | −0.776721 | − | 0.826746i | ||||
\(460\) | −5.79946 | − | 5.79946i | −0.270401 | − | 0.270401i | ||||
\(461\) | 7.20097 | + | 26.8744i | 0.335382 | + | 1.25166i | 0.903454 | + | 0.428685i | \(0.141023\pi\) |
−0.568071 | + | 0.822979i | \(0.692310\pi\) | |||||||
\(462\) | −0.515979 | − | 1.46485i | −0.0240055 | − | 0.0681508i | ||||
\(463\) | −8.51286 | − | 31.7704i | −0.395626 | − | 1.47650i | −0.820711 | − | 0.571343i | \(-0.806423\pi\) |
0.425085 | − | 0.905153i | \(-0.360244\pi\) | |||||||
\(464\) | 118.678i | 5.50947i | ||||||||
\(465\) | −3.30132 | − | 4.82068i | −0.153095 | − | 0.223554i | ||||
\(466\) | 43.9325 | − | 43.9325i | 2.03513 | − | 2.03513i | ||||
\(467\) | 0.436253 | 0.0201874 | 0.0100937 | − | 0.999949i | \(-0.496787\pi\) | ||||
0.0100937 | + | 0.999949i | \(0.496787\pi\) | |||||||
\(468\) | −8.76411 | + | 55.2619i | −0.405121 | + | 2.55448i | ||||
\(469\) | −10.7916 | −0.498309 | ||||||||
\(470\) | −5.43861 | + | 5.43861i | −0.250864 | + | 0.250864i | ||||
\(471\) | −13.5294 | + | 28.2436i | −0.623403 | + | 1.30140i | ||||
\(472\) | 14.6948i | 0.676381i | ||||||||
\(473\) | 0.396651 | + | 1.48032i | 0.0182380 | + | 0.0680653i | ||||
\(474\) | 30.1298 | + | 5.63628i | 1.38391 | + | 0.258883i | ||||
\(475\) | 0.593152 | + | 2.21367i | 0.0272157 | + | 0.101570i | ||||
\(476\) | −17.1078 | − | 17.1078i | −0.784133 | − | 0.784133i | ||||
\(477\) | 3.19496 | + | 20.6175i | 0.146287 | + | 0.944009i | ||||
\(478\) | 44.6068 | + | 25.7538i | 2.04027 | + | 1.17795i | ||||
\(479\) | 2.16826 | + | 2.16826i | 0.0990704 | + | 0.0990704i | 0.754905 | − | 0.655834i | \(-0.227683\pi\) |
−0.655834 | + | 0.754905i | \(0.727683\pi\) | |||||||
\(480\) | −39.6231 | − | 18.9805i | −1.80854 | − | 0.866336i | ||||
\(481\) | 1.44057 | − | 29.2421i | 0.0656846 | − | 1.33332i | ||||
\(482\) | 42.5603 | + | 24.5722i | 1.93857 | + | 1.11923i | ||||
\(483\) | −1.14468 | + | 1.33573i | −0.0520849 | + | 0.0607779i | ||||
\(484\) | −56.3212 | −2.56005 | ||||||||
\(485\) | −9.58645 | − | 16.6042i | −0.435298 | − | 0.753959i | ||||
\(486\) | −16.2981 | + | 38.4365i | −0.739297 | + | 1.74352i | ||||
\(487\) | −0.201212 | + | 0.750934i | −0.00911779 | + | 0.0340281i | −0.970335 | − | 0.241765i | \(-0.922274\pi\) |
0.961217 | + | 0.275793i | \(0.0889404\pi\) | |||||||
\(488\) | −49.8951 | + | 13.3694i | −2.25865 | + | 0.605202i | ||||
\(489\) | −42.3796 | − | 7.92779i | −1.91647 | − | 0.358507i | ||||
\(490\) | 4.18107 | 0.188882 | ||||||||
\(491\) | 21.4170 | + | 37.0954i | 0.966536 | + | 1.67409i | 0.705429 | + | 0.708780i | \(0.250754\pi\) |
0.261107 | + | 0.965310i | \(0.415912\pi\) | |||||||
\(492\) | 6.16296 | − | 32.9453i | 0.277848 | − | 1.48529i | ||||
\(493\) | 38.7279 | − | 22.3596i | 1.74422 | − | 1.00702i | ||||
\(494\) | −1.82181 | − | 8.44070i | −0.0819671 | − | 0.379765i | ||||
\(495\) | −0.566807 | + | 1.46197i | −0.0254761 | + | 0.0657109i | ||||
\(496\) | 25.9068 | − | 6.94171i | 1.16325 | − | 0.311692i | ||||
\(497\) | − | 3.85231i | − | 0.172800i | ||||||
\(498\) | 49.1008 | − | 33.6255i | 2.20026 | − | 1.50679i | ||||
\(499\) | 1.08414 | − | 0.290496i | 0.0485330 | − | 0.0130044i | −0.234471 | − | 0.972123i | \(-0.575336\pi\) |
0.283004 | + | 0.959119i | \(0.408669\pi\) | |||||||
\(500\) | −43.1856 | + | 43.1856i | −1.93132 | + | 1.93132i | ||||
\(501\) | 7.18595 | − | 38.4139i | 0.321044 | − | 1.71621i | ||||
\(502\) | −28.5521 | − | 7.65050i | −1.27434 | − | 0.341459i | ||||
\(503\) | −15.8728 | + | 9.16418i | −0.707734 | + | 0.408611i | −0.810222 | − | 0.586124i | \(-0.800653\pi\) |
0.102487 | + | 0.994734i | \(0.467320\pi\) | |||||||
\(504\) | −9.21508 | + | 23.7686i | −0.410472 | + | 1.05874i | ||||
\(505\) | −2.47522 | − | 9.23763i | −0.110146 | − | 0.411069i | ||||
\(506\) | −0.455336 | − | 0.788664i | −0.0202421 | − | 0.0350604i | ||||
\(507\) | −19.2526 | − | 11.6764i | −0.855036 | − | 0.518569i | ||||
\(508\) | −34.4434 | + | 59.6577i | −1.52818 | + | 2.64688i | ||||
\(509\) | −32.2114 | − | 8.63102i | −1.42775 | − | 0.382563i | −0.539521 | − | 0.841972i | \(-0.681395\pi\) |
−0.888225 | + | 0.459409i | \(0.848061\pi\) | |||||||
\(510\) | 2.60112 | + | 33.7711i | 0.115180 | + | 1.49541i | ||||
\(511\) | −14.4851 | − | 8.36296i | −0.640782 | − | 0.369956i | ||||
\(512\) | −6.55499 | + | 6.55499i | −0.289692 | + | 0.289692i | ||||
\(513\) | 0.144892 | − | 4.64430i | 0.00639715 | − | 0.205051i | ||||
\(514\) | 9.19772 | + | 2.46452i | 0.405694 | + | 0.108705i | ||||
\(515\) | 7.90271 | − | 29.4933i | 0.348235 | − | 1.29963i | ||||
\(516\) | 17.7181 | − | 36.9878i | 0.779997 | − | 1.62830i | ||||
\(517\) | −0.533371 | + | 0.307942i | −0.0234576 | + | 0.0135433i | ||||
\(518\) | 5.62865 | − | 21.0064i | 0.247309 | − | 0.922968i | ||||
\(519\) | 8.72721 | − | 18.2186i | 0.383082 | − | 0.799710i | ||||
\(520\) | 35.4444 | − | 32.1161i | 1.55434 | − | 1.40839i | ||||
\(521\) | − | 18.7598i | − | 0.821883i | −0.911662 | − | 0.410941i | \(-0.865200\pi\) | ||
0.911662 | − | 0.410941i | \(-0.134800\pi\) | |||||||
\(522\) | −61.9982 | − | 45.3614i | −2.71359 | − | 1.98541i | ||||
\(523\) | 7.03248 | − | 12.1806i | 0.307509 | − | 0.532621i | −0.670308 | − | 0.742083i | \(-0.733838\pi\) |
0.977817 | + | 0.209462i | \(0.0671712\pi\) | |||||||
\(524\) | −24.8793 | + | 43.0921i | −1.08686 | + | 1.88249i | ||||
\(525\) | 3.37059 | + | 2.88850i | 0.147105 | + | 0.126065i | ||||
\(526\) | 38.4627 | + | 38.4627i | 1.67705 | + | 1.67705i | ||||
\(527\) | −7.14627 | − | 7.14627i | −0.311297 | − | 0.311297i | ||||
\(528\) | −5.46545 | − | 4.68373i | −0.237853 | − | 0.203833i | ||||
\(529\) | 10.9843 | − | 19.0253i | 0.477576 | − | 0.827186i | ||||
\(530\) | 14.5387 | − | 25.1817i | 0.631520 | − | 1.09382i | ||||
\(531\) | −4.18691 | − | 3.06338i | −0.181697 | − | 0.132939i | ||||
\(532\) | − | 4.62569i | − | 0.200549i | ||||||
\(533\) | 11.3349 | + | 7.31057i | 0.490971 | + | 0.316656i | ||||
\(534\) | 2.45275 | − | 5.12029i | 0.106141 | − | 0.221577i | ||||
\(535\) | 2.57511 | − | 9.61044i | 0.111332 | − | 0.415496i | ||||
\(536\) | −79.4157 | + | 45.8507i | −3.43023 | + | 1.98045i | ||||
\(537\) | 11.1560 | − | 23.2890i | 0.481418 | − | 1.00499i | ||||
\(538\) | 13.6590 | − | 50.9761i | 0.588881 | − | 2.19774i | ||||
\(539\) | 0.323391 | + | 0.0866523i | 0.0139294 | + | 0.00373238i | ||||
\(540\) | 36.9764 | − | 19.8374i | 1.59121 | − | 0.853666i | ||||
\(541\) | −9.05905 | + | 9.05905i | −0.389479 | + | 0.389479i | −0.874502 | − | 0.485023i | \(-0.838811\pi\) |
0.485023 | + | 0.874502i | \(0.338811\pi\) | |||||||
\(542\) | −5.95783 | − | 3.43975i | −0.255911 | − | 0.147750i | ||||
\(543\) | −1.04029 | − | 13.5063i | −0.0446431 | − | 0.579613i | ||||
\(544\) | −73.4053 | − | 19.6689i | −3.14723 | − | 0.843297i | ||||
\(545\) | −12.5569 | + | 21.7492i | −0.537879 | + | 0.931634i | ||||
\(546\) | −12.1491 | − | 11.4952i | −0.519932 | − | 0.491950i | ||||
\(547\) | 5.48121 | + | 9.49373i | 0.234359 | + | 0.405922i | 0.959086 | − | 0.283114i | \(-0.0913674\pi\) |
−0.724727 | + | 0.689036i | \(0.758034\pi\) | |||||||
\(548\) | 0.0153804 | + | 0.0574006i | 0.000657020 | + | 0.00245203i | ||||
\(549\) | 6.59224 | − | 17.0035i | 0.281350 | − | 0.725691i | ||||
\(550\) | −1.99012 | + | 1.14900i | −0.0848591 | + | 0.0489934i | ||||
\(551\) | 8.25859 | + | 2.21288i | 0.351828 | + | 0.0942719i | ||||
\(552\) | −2.74859 | + | 14.6932i | −0.116988 | + | 0.625382i | ||||
\(553\) | −4.67246 | + | 4.67246i | −0.198693 | + | 0.198693i | ||||
\(554\) | 49.7757 | − | 13.3374i | 2.11477 | − | 0.566651i | ||||
\(555\) | −18.1158 | + | 12.4062i | −0.768972 | + | 0.526612i | ||||
\(556\) | − | 38.4121i | − | 1.62904i | ||||||
\(557\) | 0.173875 | − | 0.0465896i | 0.00736731 | − | 0.00197406i | −0.255134 | − | 0.966906i | \(-0.582119\pi\) |
0.262501 | + | 0.964932i | \(0.415453\pi\) | |||||||
\(558\) | −6.27578 | + | 16.1872i | −0.265675 | + | 0.685260i | ||||
\(559\) | 11.0820 | + | 12.2305i | 0.468720 | + | 0.517294i | ||||
\(560\) | 16.7815 | − | 9.68878i | 0.709146 | − | 0.409425i | ||||
\(561\) | −0.498714 | + | 2.66598i | −0.0210557 | + | 0.112558i | ||||
\(562\) | 8.55501 | + | 14.8177i | 0.360871 | + | 0.625048i | ||||
\(563\) | 11.6751 | 0.492047 | 0.246023 | − | 0.969264i | \(-0.420876\pi\) | ||||
0.246023 | + | 0.969264i | \(0.420876\pi\) | |||||||
\(564\) | 16.2007 | + | 3.03061i | 0.682173 | + | 0.127612i | ||||
\(565\) | −10.3059 | + | 2.76145i | −0.433571 | + | 0.116175i | ||||
\(566\) | 19.5043 | − | 72.7912i | 0.819829 | − | 3.05964i | ||||
\(567\) | −4.85124 | − | 7.58060i | −0.203733 | − | 0.318355i | ||||
\(568\) | −16.3675 | − | 28.3493i | −0.686763 | − | 1.18951i | ||||
\(569\) | −12.4571 | −0.522227 | −0.261114 | − | 0.965308i | \(-0.584090\pi\) | ||||
−0.261114 | + | 0.965308i | \(0.584090\pi\) | |||||||
\(570\) | −4.21395 | + | 4.91725i | −0.176503 | + | 0.205961i | ||||
\(571\) | −2.12390 | − | 1.22624i | −0.0888825 | − | 0.0513163i | 0.454900 | − | 0.890543i | \(-0.349675\pi\) |
−0.543782 | + | 0.839226i | \(0.683008\pi\) | |||||||
\(572\) | 5.55478 | − | 2.85228i | 0.232257 | − | 0.119260i | ||||
\(573\) | 7.68877 | + | 3.68312i | 0.321203 | + | 0.153865i | ||||
\(574\) | 7.08443 | + | 7.08443i | 0.295698 | + | 0.295698i | ||||
\(575\) | 2.25416 | + | 1.30144i | 0.0940048 | + | 0.0542737i | ||||
\(576\) | 8.58683 | + | 55.4118i | 0.357785 | + | 2.30883i | ||||
\(577\) | 26.3001 | + | 26.3001i | 1.09489 | + | 1.09489i | 0.994998 | + | 0.0998906i | \(0.0318493\pi\) |
0.0998906 | + | 0.994998i | \(0.468151\pi\) | |||||||
\(578\) | 3.37969 | + | 12.6132i | 0.140577 | + | 0.524639i | ||||
\(579\) | −36.1555 | − | 6.76347i | −1.50257 | − | 0.281080i | ||||
\(580\) | 19.9838 | + | 74.5807i | 0.829783 | + | 3.09679i | ||||
\(581\) | 12.8290i | 0.532235i | ||||||||
\(582\) | −24.6123 | + | 51.3798i | −1.02021 | + | 2.12976i | ||||
\(583\) | 1.64640 | − | 1.64640i | 0.0681870 | − | 0.0681870i | ||||
\(584\) | −142.128 | −5.88131 | ||||||||
\(585\) | 1.76170 | + | 16.7942i | 0.0728373 | + | 0.694354i | ||||
\(586\) | −42.8290 | −1.76925 | ||||||||
\(587\) | 8.11380 | − | 8.11380i | 0.334893 | − | 0.334893i | −0.519548 | − | 0.854441i | \(-0.673900\pi\) |
0.854441 | + | 0.519548i | \(0.173900\pi\) | |||||||
\(588\) | −5.06243 | − | 7.39229i | −0.208771 | − | 0.304853i | ||||
\(589\) | − | 1.93225i | − | 0.0796169i | ||||||
\(590\) | 1.87135 | + | 6.98399i | 0.0770424 | + | 0.287526i | ||||
\(591\) | −14.0312 | − | 39.8341i | −0.577167 | − | 1.63856i | ||||
\(592\) | −26.0865 | − | 97.3560i | −1.07215 | − | 4.00131i | ||||
\(593\) | −19.6866 | − | 19.6866i | −0.808432 | − | 0.808432i | 0.175964 | − | 0.984397i | \(-0.443696\pi\) |
−0.984397 | + | 0.175964i | \(0.943696\pi\) | |||||||
\(594\) | 4.53585 | − | 1.06496i | 0.186108 | − | 0.0436960i | ||||
\(595\) | −6.32345 | − | 3.65085i | −0.259236 | − | 0.149670i | ||||
\(596\) | 22.3485 | + | 22.3485i | 0.915428 | + | 0.915428i | ||||
\(597\) | 25.0544 | − | 17.1579i | 1.02541 | − | 0.702226i | ||||
\(598\) | −8.24181 | − | 5.31562i | −0.337033 | − | 0.217372i | ||||
\(599\) | 23.4230 | + | 13.5233i | 0.957039 | + | 0.552547i | 0.895260 | − | 0.445543i | \(-0.146989\pi\) |
0.0617786 | + | 0.998090i | \(0.480323\pi\) | |||||||
\(600\) | 37.0768 | + | 6.93582i | 1.51365 | + | 0.283154i | ||||
\(601\) | 1.99031 | 0.0811864 | 0.0405932 | − | 0.999176i | \(-0.487075\pi\) | ||||
0.0405932 | + | 0.999176i | \(0.487075\pi\) | |||||||
\(602\) | 6.12976 | + | 10.6171i | 0.249830 | + | 0.432719i | ||||
\(603\) | 3.49156 | − | 32.1859i | 0.142187 | − | 1.31071i | ||||
\(604\) | −9.27516 | + | 34.6154i | −0.377401 | + | 1.40848i | ||||
\(605\) | −16.4184 | + | 4.39930i | −0.667503 | + | 0.178857i | ||||
\(606\) | −18.4915 | + | 21.5777i | −0.751165 | + | 0.876534i | ||||
\(607\) | −4.27209 | −0.173399 | −0.0866993 | − | 0.996235i | \(-0.527632\pi\) | ||||
−0.0866993 | + | 0.996235i | \(0.527632\pi\) | |||||||
\(608\) | −7.26478 | − | 12.5830i | −0.294626 | − | 0.510306i | ||||
\(609\) | 15.6198 | − | 5.50194i | 0.632947 | − | 0.222950i | ||||
\(610\) | −22.0111 | + | 12.7081i | −0.891205 | + | 0.514537i | ||||
\(611\) | −3.59494 | + | 5.57391i | −0.145436 | + | 0.225496i | ||||
\(612\) | 56.5590 | − | 45.4888i | 2.28626 | − | 1.83878i | ||||
\(613\) | −18.1084 | + | 4.85213i | −0.731392 | + | 0.195976i | −0.605249 | − | 0.796036i | \(-0.706926\pi\) |
−0.126143 | + | 0.992012i | \(0.540260\pi\) | |||||||
\(614\) | 47.8218i | 1.92993i | ||||||||
\(615\) | −0.776802 | − | 10.0854i | −0.0313237 | − | 0.406683i | ||||
\(616\) | 2.74801 | − | 0.736326i | 0.110720 | − | 0.0296674i | ||||
\(617\) | 9.16276 | − | 9.16276i | 0.368879 | − | 0.368879i | −0.498190 | − | 0.867068i | \(-0.666002\pi\) |
0.867068 | + | 0.498190i | \(0.166002\pi\) | |||||||
\(618\) | −85.5747 | + | 30.1429i | −3.44232 | + | 1.21253i | ||||
\(619\) | 12.4566 | + | 3.33774i | 0.500673 | + | 0.134155i | 0.500312 | − | 0.865845i | \(-0.333218\pi\) |
0.000360863 | 1.00000i | \(0.499885\pi\) | ||||||||
\(620\) | 15.1117 | − | 8.72476i | 0.606902 | − | 0.350395i | ||||
\(621\) | −3.61346 | − | 3.84619i | −0.145003 | − | 0.154342i | ||||
\(622\) | −21.4241 | − | 79.9558i | −0.859028 | − | 3.20593i | ||||
\(623\) | 0.611952 | + | 1.05993i | 0.0245173 | + | 0.0424653i | ||||
\(624\) | −75.4002 | − | 17.9851i | −3.01842 | − | 0.719979i | ||||
\(625\) | −2.80886 | + | 4.86509i | −0.112354 | + | 0.194603i | ||||
\(626\) | −29.4404 | − | 7.88854i | −1.17668 | − | 0.315289i | ||||
\(627\) | −0.427843 | + | 0.292998i | −0.0170864 | + | 0.0117012i | ||||
\(628\) | −80.9983 | − | 46.7644i | −3.23218 | − | 1.86610i | ||||
\(629\) | −26.8552 | + | 26.8552i | −1.07079 | + | 1.07079i | ||||
\(630\) | −1.35276 | + | 12.4701i | −0.0538953 | + | 0.496819i | ||||
\(631\) | −16.0630 | − | 4.30407i | −0.639458 | − | 0.171342i | −0.0755002 | − | 0.997146i | \(-0.524055\pi\) |
−0.563958 | + | 0.825803i | \(0.690722\pi\) | |||||||
\(632\) | −14.5327 | + | 54.2368i | −0.578080 | + | 2.15742i | ||||
\(633\) | −27.3713 | − | 39.9682i | −1.08791 | − | 1.58859i | ||||
\(634\) | −33.7566 | + | 19.4894i | −1.34065 | + | 0.774023i | ||||
\(635\) | −5.38081 | + | 20.0814i | −0.213531 | + | 0.796908i | ||||
\(636\) | −62.1256 | + | 4.78506i | −2.46344 | + | 0.189740i | ||||
\(637\) | 3.52439 | − | 0.760692i | 0.139642 | − | 0.0301397i | ||||
\(638\) | 8.57317i | 0.339415i | ||||||||
\(639\) | 11.4895 | + | 1.24639i | 0.454518 | + | 0.0493065i | ||||
\(640\) | 13.7087 | − | 23.7442i | 0.541884 | − | 0.938571i | ||||
\(641\) | −17.6583 | + | 30.5850i | −0.697460 | + | 1.20804i | 0.271884 | + | 0.962330i | \(0.412353\pi\) |
−0.969344 | + | 0.245706i | \(0.920980\pi\) | |||||||
\(642\) | −27.8846 | + | 9.82211i | −1.10052 | + | 0.387648i | ||||
\(643\) | −21.4369 | − | 21.4369i | −0.845387 | − | 0.845387i | 0.144166 | − | 0.989553i | \(-0.453950\pi\) |
−0.989553 | + | 0.144166i | \(0.953950\pi\) | |||||||
\(644\) | −3.71488 | − | 3.71488i | −0.146387 | − | 0.146387i | ||||
\(645\) | 2.27593 | − | 12.1664i | 0.0896145 | − | 0.479053i | ||||
\(646\) | −5.60074 | + | 9.70076i | −0.220358 | + | 0.381671i | ||||
\(647\) | −6.32665 | + | 10.9581i | −0.248726 | + | 0.430807i | −0.963173 | − | 0.268883i | \(-0.913345\pi\) |
0.714446 | + | 0.699690i | \(0.246679\pi\) | |||||||
\(648\) | −67.9084 | − | 35.1742i | −2.66770 | − | 1.38177i | ||||
\(649\) | 0.578970i | 0.0227265i | ||||||||
\(650\) | −13.4135 | + | 20.7974i | −0.526120 | + | 0.815742i | ||||
\(651\) | −2.11468 | − | 3.08792i | −0.0828810 | − | 0.121025i | ||||
\(652\) | 33.3264 | − | 124.376i | 1.30516 | − | 4.87094i | ||||
\(653\) | −24.6324 | + | 14.2215i | −0.963938 | + | 0.556530i | −0.897383 | − | 0.441253i | \(-0.854534\pi\) |
−0.0665555 | + | 0.997783i | \(0.521201\pi\) | |||||||
\(654\) | 74.4032 | − | 5.73071i | 2.90940 | − | 0.224088i | ||||
\(655\) | −3.88668 | + | 14.5053i | −0.151865 | + | 0.566769i | ||||
\(656\) | 44.8513 | + | 12.0179i | 1.75115 | + | 0.469219i | ||||
\(657\) | 29.6291 | − | 40.4960i | 1.15594 | − | 1.57990i | ||||
\(658\) | −3.48374 | + | 3.48374i | −0.135810 | + | 0.135810i | ||||
\(659\) | 5.29309 | + | 3.05597i | 0.206190 | + | 0.119044i | 0.599539 | − | 0.800345i | \(-0.295351\pi\) |
−0.393350 | + | 0.919389i | \(0.628684\pi\) | |||||||
\(660\) | −4.22334 | − | 2.02309i | −0.164393 | − | 0.0787487i | ||||
\(661\) | 32.6948 | + | 8.76055i | 1.27168 | + | 0.340746i | 0.830674 | − | 0.556758i | \(-0.187955\pi\) |
0.441006 | + | 0.897504i | \(0.354622\pi\) | |||||||
\(662\) | −34.0896 | + | 59.0450i | −1.32493 | + | 2.29485i | ||||
\(663\) | 8.33680 | + | 27.9937i | 0.323775 | + | 1.08719i | ||||
\(664\) | 54.5069 | + | 94.4088i | 2.11528 | + | 3.66377i | ||||
\(665\) | −0.361317 | − | 1.34845i | −0.0140113 | − | 0.0522907i | ||||
\(666\) | 60.8305 | + | 23.5840i | 2.35713 | + | 0.913860i | ||||
\(667\) | 8.40962 | − | 4.85530i | 0.325622 | − | 0.187998i | ||||
\(668\) | 112.737 | + | 30.2079i | 4.36194 | + | 1.16878i | ||||
\(669\) | 6.97031 | + | 5.97336i | 0.269488 | + | 0.230944i | ||||
\(670\) | −31.9049 | + | 31.9049i | −1.23260 | + | 1.23260i | ||||
\(671\) | −1.96586 | + | 0.526749i | −0.0758910 | + | 0.0203349i | ||||
\(672\) | −25.3808 | − | 12.1581i | −0.979086 | − | 0.469008i | ||||
\(673\) | − | 3.42277i | − | 0.131938i | −0.997822 | − | 0.0659691i | \(-0.978986\pi\) | ||
0.997822 | − | 0.0659691i | \(-0.0210139\pi\) | |||||||
\(674\) | 33.2969 | − | 8.92187i | 1.28255 | − | 0.343658i | ||||
\(675\) | −9.70550 | + | 9.11824i | −0.373565 | + | 0.350961i | ||||
\(676\) | 39.1846 | − | 54.6505i | 1.50710 | − | 2.10194i | ||||
\(677\) | 26.6098 | − | 15.3632i | 1.02270 | − | 0.590456i | 0.107815 | − | 0.994171i | \(-0.465615\pi\) |
0.914885 | + | 0.403715i | \(0.132281\pi\) | |||||||
\(678\) | 24.0729 | + | 20.6298i | 0.924514 | + | 0.792283i | ||||
\(679\) | −6.14066 | − | 10.6359i | −0.235657 | − | 0.408170i | ||||
\(680\) | −62.0460 | −2.37935 | ||||||||
\(681\) | 12.1478 | + | 34.4871i | 0.465504 | + | 1.32155i | ||||
\(682\) | 1.87148 | − | 0.501463i | 0.0716628 | − | 0.0192020i | ||||
\(683\) | 6.19496 | − | 23.1199i | 0.237044 | − | 0.884659i | −0.740173 | − | 0.672416i | \(-0.765257\pi\) |
0.977217 | − | 0.212243i | \(-0.0680768\pi\) | |||||||
\(684\) | 13.7961 | + | 1.49662i | 0.527508 | + | 0.0572246i | ||||
\(685\) | 0.00896722 | + | 0.0155317i | 0.000342620 | + | 0.000593435i | ||||
\(686\) | 2.67821 | 0.102255 | ||||||||
\(687\) | 7.02970 | + | 19.9571i | 0.268200 | + | 0.761410i | ||||
\(688\) | 49.2057 | + | 28.4089i | 1.87595 | + | 1.08308i | ||||
\(689\) | 7.67374 | − | 23.8718i | 0.292346 | − | 0.909443i | ||||
\(690\) | 0.564824 | + | 7.33326i | 0.0215025 | + | 0.279172i | ||||
\(691\) | 11.5846 | + | 11.5846i | 0.440700 | + | 0.440700i | 0.892247 | − | 0.451547i | \(-0.149128\pi\) |
−0.451547 | + | 0.892247i | \(0.649128\pi\) | |||||||
\(692\) | 52.2482 | + | 30.1655i | 1.98618 | + | 1.14672i | ||||
\(693\) | −0.363072 | + | 0.936477i | −0.0137920 | + | 0.0355738i | ||||
\(694\) | 26.3014 | + | 26.3014i | 0.998387 | + | 0.998387i | ||||
\(695\) | −3.00040 | − | 11.1977i | −0.113812 | − | 0.424751i | ||||
\(696\) | 91.5704 | − | 106.854i | 3.47097 | − | 4.05027i | ||||
\(697\) | −4.52848 | − | 16.9005i | −0.171528 | − | 0.640152i | ||||
\(698\) | 41.4659i | 1.56951i | ||||||||
\(699\) | −40.0619 | + | 3.08566i | −1.51528 | + | 0.116710i | ||||
\(700\) | −9.37417 | + | 9.37417i | −0.354310 | + | 0.354310i | ||||
\(701\) | 7.13726 | 0.269571 | 0.134785 | − | 0.990875i | \(-0.456966\pi\) | ||||
0.134785 | + | 0.990875i | \(0.456966\pi\) | |||||||
\(702\) | 38.2153 | − | 32.5154i | 1.44234 | − | 1.22721i | ||||
\(703\) | −7.26126 | −0.273864 | ||||||||
\(704\) | 4.42489 | − | 4.42489i | 0.166769 | − | 0.166769i | ||||
\(705\) | 4.95946 | − | 0.381989i | 0.186784 | − | 0.0143865i | ||||
\(706\) | − | 34.3998i | − | 1.29465i | ||||||
\(707\) | −1.58552 | − | 5.91722i | −0.0596294 | − | 0.222540i | ||||
\(708\) | 10.0821 | − | 11.7648i | 0.378909 | − | 0.442149i | ||||
\(709\) | −5.78958 | − | 21.6070i | −0.217432 | − | 0.811469i | −0.985296 | − | 0.170856i | \(-0.945347\pi\) |
0.767864 | − | 0.640613i | \(-0.221320\pi\) | |||||||
\(710\) | −11.3892 | − | 11.3892i | −0.427429 | − | 0.427429i | ||||
\(711\) | −12.4239 | − | 15.4474i | −0.465931 | − | 0.579321i | ||||
\(712\) | 9.00675 | + | 5.20005i | 0.337542 | + | 0.194880i | ||||
\(713\) | −1.55179 | − | 1.55179i | −0.0581148 | − | 0.0581148i | ||||
\(714\) | 1.66617 | + | 21.6323i | 0.0623547 | + | 0.809567i | ||||
\(715\) | 1.39650 | − | 1.26537i | 0.0522262 | − | 0.0473221i | ||||
\(716\) | 66.7892 | + | 38.5607i | 2.49603 | + | 1.44108i | ||||
\(717\) | −11.0670 | − | 31.4187i | −0.413304 | − | 1.17335i | ||||
\(718\) | −17.0467 | −0.636178 | ||||||||
\(719\) | 24.6534 | + | 42.7010i | 0.919419 | + | 1.59248i | 0.800300 | + | 0.599600i | \(0.204673\pi\) |
0.119118 | + | 0.992880i | \(0.461993\pi\) | |||||||
\(720\) | 23.4672 | + | 53.1855i | 0.874573 | + | 1.98211i | ||||
\(721\) | 5.06213 | − | 18.8921i | 0.188524 | − | 0.703580i | ||||
\(722\) | 47.0835 | − | 12.6160i | 1.75227 | − | 0.469518i | ||||
\(723\) | −10.5592 | − | 29.9773i | −0.392702 | − | 1.11487i | ||||
\(724\) | 40.4565 | 1.50356 | ||||||||
\(725\) | −12.2519 | − | 21.2209i | −0.455024 | − | 0.788124i | ||||
\(726\) | 38.3509 | + | 32.8656i | 1.42333 | + | 1.21976i | ||||
\(727\) | −43.6827 | + | 25.2202i | −1.62010 | + | 0.935366i | −0.633209 | + | 0.773981i | \(0.718263\pi\) |
−0.986892 | + | 0.161385i | \(0.948404\pi\) | |||||||
\(728\) | 22.7041 | − | 20.5722i | 0.841472 | − | 0.762456i | ||||
\(729\) | 24.1787 | − | 12.0162i | 0.895509 | − | 0.445044i | ||||
\(730\) | −67.5494 | + | 18.0998i | −2.50012 | + | 0.669904i | ||||
\(731\) | − | 21.4096i | − | 0.791864i | ||||||
\(732\) | 49.1195 | + | 23.5295i | 1.81551 | + | 0.869676i | ||||
\(733\) | −17.0282 | + | 4.56269i | −0.628950 | + | 0.168527i | −0.559193 | − | 0.829037i | \(-0.688889\pi\) |
−0.0697568 | + | 0.997564i | \(0.522222\pi\) | |||||||
\(734\) | −10.1681 | + | 10.1681i | −0.375310 | + | 0.375310i | ||||
\(735\) | −2.05319 | − | 1.75952i | −0.0757329 | − | 0.0649010i | ||||
\(736\) | −15.9397 | − | 4.27103i | −0.587545 | − | 0.157432i | ||||
\(737\) | −3.12896 | + | 1.80650i | −0.115257 | + | 0.0665435i | ||||
\(738\) | −23.4215 | + | 18.8372i | −0.862156 | + | 0.693407i | ||||
\(739\) | −11.6469 | − | 43.4670i | −0.428439 | − | 1.59896i | −0.756296 | − | 0.654230i | \(-0.772993\pi\) |
0.327856 | − | 0.944728i | \(-0.393674\pi\) | |||||||
\(740\) | −32.7871 | − | 56.7889i | −1.20528 | − | 2.08760i | ||||
\(741\) | −2.65748 | + | 4.91163i | −0.0976248 | + | 0.180433i | ||||
\(742\) | 9.31284 | − | 16.1303i | 0.341885 | − | 0.592162i | ||||
\(743\) | 14.6254 | + | 3.91886i | 0.536554 | + | 0.143769i | 0.516913 | − | 0.856038i | \(-0.327081\pi\) |
0.0196409 | + | 0.999807i | \(0.493748\pi\) | |||||||
\(744\) | −28.6818 | − | 13.7393i | −1.05153 | − | 0.503708i | ||||
\(745\) | 8.26054 | + | 4.76923i | 0.302643 | + | 0.174731i | ||||
\(746\) | 34.4314 | − | 34.4314i | 1.26062 | − | 1.26062i | ||||
\(747\) | −38.2624 | − | 4.15074i | −1.39995 | − | 0.151868i | ||||
\(748\) | −7.82412 | − | 2.09647i | −0.286078 | − | 0.0766544i | ||||
\(749\) | 1.64950 | − | 6.15603i | 0.0602715 | − | 0.224936i | ||||
\(750\) | 54.6070 | − | 4.20596i | 1.99397 | − | 0.153580i | ||||
\(751\) | −28.5780 | + | 16.4995i | −1.04283 | + | 0.602076i | −0.920632 | − | 0.390431i | \(-0.872326\pi\) |
−0.122193 | + | 0.992506i | \(0.538993\pi\) | |||||||
\(752\) | −5.90973 | + | 22.0554i | −0.215506 | + | 0.804278i | ||||
\(753\) | 10.8014 | + | 15.7725i | 0.393626 | + | 0.574782i | ||||
\(754\) | 42.1734 | + | 82.1322i | 1.53586 | + | 2.99108i | ||||
\(755\) | 10.8154i | 0.393611i | ||||||||
\(756\) | 23.6854 | − | 12.7070i | 0.861431 | − | 0.462148i | ||||
\(757\) | 12.5891 | − | 21.8050i | 0.457559 | − | 0.792515i | −0.541272 | − | 0.840847i | \(-0.682057\pi\) |
0.998831 | + | 0.0483319i | \(0.0153905\pi\) | |||||||
\(758\) | 10.4239 | − | 18.0547i | 0.378612 | − | 0.655775i | ||||
\(759\) | −0.108294 | + | 0.578906i | −0.00393082 | + | 0.0210130i | ||||
\(760\) | −8.38817 | − | 8.38817i | −0.304271 | − | 0.304271i | ||||
\(761\) | 9.49747 | + | 9.49747i | 0.344283 | + | 0.344283i | 0.857975 | − | 0.513692i | \(-0.171723\pi\) |
−0.513692 | + | 0.857975i | \(0.671723\pi\) | |||||||
\(762\) | 58.2662 | − | 20.5237i | 2.11076 | − | 0.743497i | ||||
\(763\) | −8.04342 | + | 13.9316i | −0.291191 | + | 0.504358i | ||||
\(764\) | −12.7307 | + | 22.0502i | −0.460580 | + | 0.797748i | ||||
\(765\) | 12.9346 | − | 17.6785i | 0.467650 | − | 0.639167i | ||||
\(766\) | − | 0.752986i | − | 0.0272065i | ||||||
\(767\) | 2.84809 | + | 5.54662i | 0.102838 | + | 0.200277i | ||||
\(768\) | −16.6713 | + | 1.28406i | −0.601574 | + | 0.0463346i | ||||
\(769\) | −2.92877 | + | 10.9303i | −0.105614 | + | 0.394158i | −0.998414 | − | 0.0562959i | \(-0.982071\pi\) |
0.892800 | + | 0.450453i | \(0.148738\pi\) | |||||||
\(770\) | 1.21228 | − | 0.699908i | 0.0436874 | − | 0.0252229i | ||||
\(771\) | −3.47955 | − | 5.08093i | −0.125313 | − | 0.182985i | ||||
\(772\) | 28.4319 | − | 106.109i | 1.02329 | − | 3.81896i | ||||
\(773\) | −3.51144 | − | 0.940887i | −0.126298 | − | 0.0338414i | 0.195117 | − | 0.980780i | \(-0.437492\pi\) |
−0.321414 | + | 0.946939i | \(0.604158\pi\) | |||||||
\(774\) | −33.6486 | + | 14.8469i | −1.20948 | + | 0.533662i | ||||
\(775\) | −3.91579 | + | 3.91579i | −0.140659 | + | 0.140659i | ||||
\(776\) | −90.3787 | − | 52.1801i | −3.24441 | − | 1.87316i | ||||
\(777\) | −11.6042 | + | 7.94684i | −0.416298 | + | 0.285091i | ||||
\(778\) | −96.1251 | − | 25.7567i | −3.44625 | − | 0.923421i | ||||
\(779\) | 1.67261 | − | 2.89704i | 0.0599274 | − | 0.103797i | ||||
\(780\) | −50.4123 | + | 1.39408i | −1.80505 | + | 0.0499161i | ||||
\(781\) | −0.644874 | − | 1.11695i | −0.0230754 | − | 0.0399678i | ||||
\(782\) | 3.29272 | + | 12.2886i | 0.117748 | + | 0.439440i | ||||
\(783\) | 11.3558 | + | 48.3663i | 0.405825 | + | 1.72847i | ||||
\(784\) | 10.7495 | − | 6.20621i | 0.383910 | − | 0.221650i | ||||
\(785\) | −27.2649 | − | 7.30561i | −0.973127 | − | 0.260749i | ||||
\(786\) | 42.0870 | − | 14.8248i | 1.50120 | − | 0.528783i | ||||
\(787\) | −11.0193 | + | 11.0193i | −0.392796 | + | 0.392796i | −0.875683 | − | 0.482886i | \(-0.839588\pi\) |
0.482886 | + | 0.875683i | \(0.339588\pi\) | |||||||
\(788\) | 121.832 | − | 32.6449i | 4.34010 | − | 1.16293i | ||||
\(789\) | −2.70149 | − | 35.0741i | −0.0961755 | − | 1.24867i | ||||
\(790\) | 27.6279i | 0.982956i | ||||||||
\(791\) | −6.60148 | + | 1.76886i | −0.234722 | + | 0.0628935i | ||||
\(792\) | 1.30699 | + | 8.43417i | 0.0464419 | + | 0.299695i | ||||
\(793\) | −16.2420 | + | 14.7168i | −0.576770 | + | 0.522610i | ||||
\(794\) | 36.3485 | − | 20.9858i | 1.28996 | − | 0.744760i | ||||
\(795\) | −17.7367 | + | 6.24760i | −0.629056 | + | 0.221579i | ||||
\(796\) | 45.3450 | + | 78.5398i | 1.60721 | + | 2.78377i | ||||
\(797\) | 28.1909 | 0.998573 | 0.499287 | − | 0.866437i | \(-0.333596\pi\) | ||||
0.499287 | + | 0.866437i | \(0.333596\pi\) | |||||||
\(798\) | −2.69927 | + | 3.14978i | −0.0955532 | + | 0.111501i | ||||
\(799\) | 8.31074 | − | 2.22686i | 0.294013 | − | 0.0787805i | ||||
\(800\) | −10.7775 | + | 40.2223i | −0.381044 | + | 1.42207i | ||||
\(801\) | −3.35924 | + | 1.48221i | −0.118693 | + | 0.0523714i | ||||
\(802\) | 12.2633 | + | 21.2407i | 0.433034 | + | 0.750036i | ||||
\(803\) | −5.59982 | −0.197613 | ||||||||
\(804\) | 95.0396 | + | 17.7787i | 3.35179 | + | 0.627006i | ||||
\(805\) | −1.37311 | − | 0.792767i | −0.0483959 | − | 0.0279414i | ||||
\(806\) | 15.4623 | − | 14.0104i | 0.544636 | − | 0.493494i | ||||
\(807\) | −28.1598 | + | 19.2846i | −0.991272 | + | 0.678849i | ||||
\(808\) | −36.8086 | − | 36.8086i | −1.29492 | − | 1.29492i | ||||
\(809\) | −13.6887 | − | 7.90320i | −0.481270 | − | 0.277862i | 0.239675 | − | 0.970853i | \(-0.422959\pi\) |
−0.720946 | + | 0.692992i | \(0.756292\pi\) | |||||||
\(810\) | −36.7543 | − | 8.06923i | −1.29141 | − | 0.283524i | ||||
\(811\) | −18.4069 | − | 18.4069i | −0.646354 | − | 0.646354i | 0.305756 | − | 0.952110i | \(-0.401091\pi\) |
−0.952110 | + | 0.305756i | \(0.901091\pi\) | |||||||
\(812\) | 12.8008 | + | 47.7731i | 0.449219 | + | 1.67651i | ||||
\(813\) | 1.47814 | + | 4.19639i | 0.0518407 | + | 0.147174i | ||||
\(814\) | −1.88446 | − | 7.03291i | −0.0660504 | − | 0.246503i | ||||
\(815\) | − | 38.8604i | − | 1.36122i | ||||||
\(816\) | 56.8158 | + | 82.9638i | 1.98895 | + | 2.90432i | ||||
\(817\) | 2.89443 | − | 2.89443i | 0.101263 | − | 0.101263i | ||||
\(818\) | −22.9340 | −0.801869 | ||||||||
\(819\) | 1.12847 | + | 10.7576i | 0.0394319 | + | 0.375902i | ||||
\(820\) | 30.2096 | 1.05496 | ||||||||
\(821\) | −29.4486 | + | 29.4486i | −1.02776 | + | 1.02776i | −0.0281585 | + | 0.999603i | \(0.508964\pi\) |
−0.999603 | + | 0.0281585i | \(0.991036\pi\) | |||||||
\(822\) | 0.0230225 | − | 0.0480610i | 0.000803001 | − | 0.00167632i | ||||
\(823\) | − | 42.4413i | − | 1.47941i | −0.672932 | − | 0.739705i | \(-0.734965\pi\) | ||
0.672932 | − | 0.739705i | \(-0.265035\pi\) | |||||||
\(824\) | −43.0154 | − | 160.535i | −1.49851 | − | 5.59252i | ||||
\(825\) | 1.46082 | + | 0.273269i | 0.0508591 | + | 0.00951402i | ||||
\(826\) | 1.19871 | + | 4.47364i | 0.0417084 | + | 0.155658i | ||||
\(827\) | 8.03799 | + | 8.03799i | 0.279508 | + | 0.279508i | 0.832913 | − | 0.553404i | \(-0.186672\pi\) |
−0.553404 | + | 0.832913i | \(0.686672\pi\) | |||||||
\(828\) | 12.2816 | − | 9.87772i | 0.426814 | − | 0.343274i | ||||
\(829\) | 11.8986 | + | 6.86966i | 0.413255 | + | 0.238593i | 0.692187 | − | 0.721718i | \(-0.256647\pi\) |
−0.278932 | + | 0.960311i | \(0.589980\pi\) | |||||||
\(830\) | 37.9284 | + | 37.9284i | 1.31651 | + | 1.31651i | ||||
\(831\) | −30.0560 | − | 14.3976i | −1.04263 | − | 0.499448i | ||||
\(832\) | 20.6241 | − | 64.1582i | 0.715010 | − | 2.22429i | ||||
\(833\) | −4.05053 | − | 2.33857i | −0.140342 | − | 0.0810267i | ||||
\(834\) | −22.4150 | + | 26.1560i | −0.776167 | + | 0.905709i | ||||
\(835\) | 35.2241 | 1.21898 | ||||||||
\(836\) | −0.774337 | − | 1.34119i | −0.0267810 | − | 0.0463861i | ||||
\(837\) | 9.89391 | − | 5.30797i | 0.341984 | − | 0.183470i | ||||
\(838\) | 9.03356 | − | 33.7137i | 0.312059 | − | 1.16462i | ||||
\(839\) | 19.7003 | − | 5.27868i | 0.680130 | − | 0.182240i | 0.0978161 | − | 0.995205i | \(-0.468814\pi\) |
0.582313 | + | 0.812964i | \(0.302148\pi\) | |||||||
\(840\) | −22.5852 | − | 4.22493i | −0.779264 | − | 0.145774i | ||||
\(841\) | −62.4167 | −2.15230 | ||||||||
\(842\) | −23.4989 | − | 40.7013i | −0.809827 | − | 1.40266i | ||||
\(843\) | 2.03466 | − | 10.8767i | 0.0700776 | − | 0.374614i | ||||
\(844\) | 125.291 | − | 72.3370i | 4.31270 | − | 2.48994i | ||||
\(845\) | 7.15405 | − | 18.9921i | 0.246107 | − | 0.653349i | ||||
\(846\) | −9.26310 | − | 11.5174i | −0.318472 | − | 0.395976i | ||||
\(847\) | −10.5169 | + | 2.81800i | −0.361365 | + | 0.0968276i | ||||
\(848\) | − | 86.3224i | − | 2.96432i | ||||||
\(849\) | −40.2107 | + | 27.5374i | −1.38003 | + | 0.945079i | ||||
\(850\) | 31.0092 | − | 8.30888i | 1.06361 | − | 0.284992i | ||||
\(851\) | −5.83151 | + | 5.83151i | −0.199901 | + | 0.199901i | ||||
\(852\) | −6.34652 | + | 33.9266i | −0.217428 | + | 1.16231i | ||||
\(853\) | 37.3087 | + | 9.99683i | 1.27742 | + | 0.342285i | 0.832871 | − | 0.553467i | \(-0.186696\pi\) |
0.444554 | + | 0.895752i | \(0.353362\pi\) | |||||||
\(854\) | −14.0994 | + | 8.14027i | −0.482470 | + | 0.278554i | ||||
\(855\) | 4.13866 | − | 0.641344i | 0.141539 | − | 0.0219335i | ||||
\(856\) | −14.0166 | − | 52.3107i | −0.479078 | − | 1.78794i | ||||
\(857\) | 12.3511 | + | 21.3928i | 0.421906 | + | 0.730763i | 0.996126 | − | 0.0879381i | \(-0.0280278\pi\) |
−0.574220 | + | 0.818701i | \(0.694694\pi\) | |||||||
\(858\) | −5.44684 | − | 1.29923i | −0.185952 | − | 0.0443548i | ||||
\(859\) | 11.7560 | − | 20.3621i | 0.401111 | − | 0.694744i | −0.592749 | − | 0.805387i | \(-0.701958\pi\) |
0.993860 | + | 0.110643i | \(0.0352909\pi\) | |||||||
\(860\) | 35.7061 | + | 9.56742i | 1.21757 | + | 0.326246i | ||||
\(861\) | −0.497586 | − | 6.46028i | −0.0169577 | − | 0.220166i | ||||
\(862\) | 40.0945 | + | 23.1486i | 1.36562 | + | 0.788443i | ||||
\(863\) | −15.2101 | + | 15.2101i | −0.517757 | + | 0.517757i | −0.916892 | − | 0.399135i | \(-0.869310\pi\) |
0.399135 | + | 0.916892i | \(0.369310\pi\) | |||||||
\(864\) | 44.4733 | − | 71.7646i | 1.51301 | − | 2.44148i | ||||
\(865\) | 17.5873 | + | 4.71251i | 0.597988 | + | 0.160230i | ||||
\(866\) | 12.3725 | − | 46.1749i | 0.420435 | − | 1.56909i | ||||
\(867\) | 3.64836 | − | 7.61620i | 0.123905 | − | 0.258660i | ||||
\(868\) | 9.67992 | − | 5.58870i | 0.328558 | − | 0.189693i | ||||
\(869\) | −0.572585 | + | 2.13692i | −0.0194236 | + | 0.0724899i | ||||
\(870\) | 29.9131 | − | 62.4457i | 1.01415 | − | 2.11711i | ||||
\(871\) | −21.0893 | + | 32.6987i | −0.714583 | + | 1.10795i | ||||
\(872\) | 136.698i | 4.62916i | ||||||||
\(873\) | 33.7085 | − | 14.8733i | 1.14086 | − | 0.503386i | ||||
\(874\) | −1.21618 | + | 2.10648i | −0.0411378 | + | 0.0712528i | ||||
\(875\) | −5.90333 | + | 10.2249i | −0.199569 | + | 0.345664i | ||||
\(876\) | 113.790 | + | 97.5146i | 3.84460 | + | 3.29471i | ||||
\(877\) | 3.75445 | + | 3.75445i | 0.126779 | + | 0.126779i | 0.767649 | − | 0.640870i | \(-0.221426\pi\) |
−0.640870 | + | 0.767649i | \(0.721426\pi\) | |||||||
\(878\) | 8.62575 | + | 8.62575i | 0.291105 | + | 0.291105i | ||||
\(879\) | 21.0319 | + | 18.0238i | 0.709389 | + | 0.607926i | ||||
\(880\) | 3.24379 | − | 5.61841i | 0.109348 | − | 0.189396i | ||||
\(881\) | 17.9554 | − | 31.0996i | 0.604932 | − | 1.04777i | −0.387131 | − | 0.922025i | \(-0.626534\pi\) |
0.992062 | − | 0.125747i | \(-0.0401329\pi\) | |||||||
\(882\) | −0.866521 | + | 7.98777i | −0.0291773 | + | 0.268962i | ||||
\(883\) | − | 33.5980i | − | 1.13066i | −0.824864 | − | 0.565331i | \(-0.808749\pi\) | ||
0.824864 | − | 0.565331i | \(-0.191251\pi\) | |||||||
\(884\) | −85.2693 | + | 18.4042i | −2.86792 | + | 0.619000i | ||||
\(885\) | 2.02012 | − | 4.21713i | 0.0679055 | − | 0.141757i | ||||
\(886\) | 6.02401 | − | 22.4819i | 0.202381 | − | 0.755295i | ||||
\(887\) | 3.77121 | − | 2.17731i | 0.126625 | − | 0.0731070i | −0.435350 | − | 0.900261i | \(-0.643375\pi\) |
0.561975 | + | 0.827155i | \(0.310042\pi\) | |||||||
\(888\) | −51.6315 | + | 107.784i | −1.73264 | + | 3.61700i | ||||
\(889\) | −3.44671 | + | 12.8633i | −0.115599 | + | 0.431421i | ||||
\(890\) | 4.94286 | + | 1.32444i | 0.165685 | + | 0.0443952i | ||||
\(891\) | −2.67558 | − | 1.38585i | −0.0896352 | − | 0.0464279i | ||||
\(892\) | −19.3856 | + | 19.3856i | −0.649077 | + | 0.649077i | ||||
\(893\) | 1.42461 | + | 0.822497i | 0.0476727 | + | 0.0275238i | ||||
\(894\) | −2.17657 | − | 28.2590i | −0.0727954 | − | 0.945122i | ||||
\(895\) | 22.4820 | + | 6.02403i | 0.751490 | + | 0.201361i | ||||
\(896\) | 8.78120 | − | 15.2095i | 0.293359 | − | 0.508113i | ||||
\(897\) | 1.81030 | + | 6.07873i | 0.0604443 | + | 0.202963i | ||||
\(898\) | 7.73545 | + | 13.3982i | 0.258135 | + | 0.447103i | ||||
\(899\) | 5.34715 | + | 19.9558i | 0.178338 | + | 0.665565i | ||||
\(900\) | −24.9255 | − | 30.9914i | −0.830850 | − | 1.03305i | ||||
\(901\) | −28.1695 | + | 16.2637i | −0.938461 | + | 0.541821i | ||||
\(902\) | 3.24002 | + | 0.868160i | 0.107881 | + | 0.0289066i | ||||
\(903\) | 1.45786 | − | 7.79328i | 0.0485145 | − | 0.259344i | ||||
\(904\) | −41.0651 | + | 41.0651i | −1.36580 | + | 1.36580i | ||||
\(905\) | 11.7936 | − | 3.16010i | 0.392034 | − | 0.105045i | ||||
\(906\) | 26.5152 | − | 18.1583i | 0.880908 | − | 0.603269i | ||||
\(907\) | 16.3434i | 0.542673i | 0.962485 | + | 0.271336i | \(0.0874656\pi\) | ||||
−0.962485 | + | 0.271336i | \(0.912534\pi\) | |||||||
\(908\) | −105.479 | + | 28.2629i | −3.50043 | + | 0.937937i | ||||
\(909\) | 18.1611 | − | 2.81432i | 0.602366 | − | 0.0933450i | ||||
\(910\) | 8.17078 | − | 12.6687i | 0.270859 | − | 0.419963i | ||||
\(911\) | 39.6696 | − | 22.9033i | 1.31431 | − | 0.758819i | 0.331506 | − | 0.943453i | \(-0.392443\pi\) |
0.982807 | + | 0.184634i | \(0.0591101\pi\) | |||||||
\(912\) | −3.53503 | + | 18.8972i | −0.117056 | + | 0.625748i | ||||
\(913\) | 2.14756 | + | 3.71968i | 0.0710738 | + | 0.123104i | ||||
\(914\) | 22.2628 | 0.736388 | ||||||||
\(915\) | 16.1569 | + | 3.02241i | 0.534131 | + | 0.0999179i | ||||
\(916\) | −61.0386 | + | 16.3552i | −2.01677 | + | 0.540392i | ||||
\(917\) | −2.48964 | + | 9.29146i | −0.0822151 | + | 0.306831i | ||||
\(918\) | −65.0574 | − | 2.02965i | −2.14721 | − | 0.0669886i | ||||
\(919\) | 2.05153 | + | 3.55335i | 0.0676737 | + | 0.117214i | 0.897877 | − | 0.440247i | \(-0.145109\pi\) |
−0.830203 | + | 0.557461i | \(0.811776\pi\) | |||||||
\(920\) | −13.4730 | −0.444193 | ||||||||
\(921\) | 20.1249 | − | 23.4837i | 0.663138 | − | 0.773816i | ||||
\(922\) | 64.5313 | + | 37.2571i | 2.12522 | + | 1.22700i | ||||
\(923\) | −11.6725 | − | 7.52830i | −0.384206 | − | 0.247797i | ||||
\(924\) | −2.70529 | − | 1.29590i | −0.0889974 | − | 0.0426321i | ||||
\(925\) | 14.7153 | + | 14.7153i | 0.483835 | + | 0.483835i | ||||
\(926\) | −76.2877 | − | 44.0447i | −2.50697 | − | 1.44740i | ||||
\(927\) | 54.7080 | + | 21.2103i | 1.79685 | + | 0.696636i | ||||
\(928\) | 109.850 | + | 109.850i | 3.60601 | + | 3.60601i | ||||
\(929\) | −10.4597 | − | 39.0363i | −0.343173 | − | 1.28074i | −0.894732 | − | 0.446603i | \(-0.852634\pi\) |
0.551560 | − | 0.834136i | \(-0.314033\pi\) | |||||||
\(930\) | −15.3813 | − | 2.87732i | −0.504373 | − | 0.0943511i | ||||
\(931\) | −0.231444 | − | 0.863760i | −0.00758526 | − | 0.0283086i | ||||
\(932\) | − | 120.000i | − | 3.93074i | ||||||
\(933\) | −23.1272 | + | 48.2796i | −0.757150 | + | 1.58060i | ||||
\(934\) | 0.826168 | − | 0.826168i | 0.0270331 | − | 0.0270331i | ||||
\(935\) | −2.44460 | −0.0799468 | ||||||||
\(936\) | 54.0108 | + | 74.3712i | 1.76540 | + | 2.43090i | ||||
\(937\) | −29.9872 | −0.979640 | −0.489820 | − | 0.871824i | \(-0.662937\pi\) | ||||
−0.489820 | + | 0.871824i | \(0.662937\pi\) | |||||||
\(938\) | −20.4369 | + | 20.4369i | −0.667289 | + | 0.667289i | ||||
\(939\) | 11.1375 | + | 16.2632i | 0.363458 | + | 0.530731i | ||||
\(940\) | 14.8554i | 0.484531i | ||||||||
\(941\) | −14.0875 | − | 52.5754i | −0.459241 | − | 1.71391i | −0.675312 | − | 0.737532i | \(-0.735991\pi\) |
0.216071 | − | 0.976378i | \(-0.430676\pi\) | |||||||
\(942\) | 27.8654 | + | 79.1090i | 0.907905 | + | 2.57751i | ||||
\(943\) | −0.983342 | − | 3.66988i | −0.0320220 | − | 0.119508i | ||||
\(944\) | 15.1780 | + | 15.1780i | 0.494001 | + | 0.494001i | ||||
\(945\) | 5.91208 | − | 5.55435i | 0.192320 | − | 0.180683i | ||||
\(946\) | 3.55458 | + | 2.05224i | 0.115569 | + | 0.0667239i | ||||
\(947\) | 16.3811 | + | 16.3811i | 0.532315 | + | 0.532315i | 0.921261 | − | 0.388946i | \(-0.127161\pi\) |
−0.388946 | + | 0.921261i | \(0.627161\pi\) | |||||||
\(948\) | 48.8471 | − | 33.4518i | 1.58648 | − | 1.08646i | ||||
\(949\) | −53.6471 | + | 27.5468i | −1.74146 | + | 0.894207i | ||||
\(950\) | 5.31551 | + | 3.06891i | 0.172458 | + | 0.0995687i | ||||
\(951\) | 24.7785 | + | 4.63522i | 0.803498 | + | 0.150307i | ||||
\(952\) | −39.7440 | −1.28811 | ||||||||
\(953\) | −12.1812 | − | 21.0985i | −0.394588 | − | 0.683447i | 0.598460 | − | 0.801153i | \(-0.295779\pi\) |
−0.993049 | + | 0.117705i | \(0.962446\pi\) | |||||||
\(954\) | 45.0956 | + | 32.9944i | 1.46002 | + | 1.06823i | ||||
\(955\) | −1.98881 | + | 7.42234i | −0.0643564 | + | 0.240181i | ||||
\(956\) | 96.0941 | − | 25.7483i | 3.10790 | − | 0.832761i | ||||
\(957\) | 3.60785 | − | 4.21000i | 0.116625 | − | 0.136090i | ||||
\(958\) | 8.21243 | 0.265331 | ||||||||
\(959\) | 0.00574401 | + | 0.00994892i | 0.000185484 | + | 0.000321267i | ||||
\(960\) | −47.6694 | + | 16.7911i | −1.53852 | + | 0.541931i | ||||
\(961\) | −22.8033 | + | 13.1655i | −0.735590 | + | 0.424693i | ||||
\(962\) | −52.6500 | − | 58.1062i | −1.69750 | − | 1.87342i | ||||
\(963\) | 17.8267 | + | 6.91139i | 0.574457 | + | 0.222717i | ||||
\(964\) | 91.6853 | − | 24.5670i | 2.95298 | − | 0.791250i | ||||
\(965\) | − | 33.1532i | − | 1.06724i | ||||||
\(966\) | 0.361802 | + | 4.69736i | 0.0116408 | + | 0.151135i | ||||
\(967\) | 9.17092 | − | 2.45734i | 0.294917 | − | 0.0790228i | −0.108327 | − | 0.994115i | \(-0.534549\pi\) |
0.403244 | + | 0.915093i | \(0.367883\pi\) | |||||||
\(968\) | −65.4214 | + | 65.4214i | −2.10272 | + | 2.10272i | ||||
\(969\) | 6.83272 | − | 2.40676i | 0.219498 | − | 0.0773164i | ||||
\(970\) | −49.5994 | − | 13.2901i | −1.59254 | − | 0.426720i | ||||
\(971\) | 3.86066 | − | 2.22895i | 0.123894 | − | 0.0715304i | −0.436772 | − | 0.899572i | \(-0.643878\pi\) |
0.560666 | + | 0.828042i | \(0.310545\pi\) | |||||||
\(972\) | 30.2353 | + | 74.7531i | 0.969798 | + | 2.39771i | ||||
\(973\) | −1.92193 | − | 7.17273i | −0.0616142 | − | 0.229947i | ||||
\(974\) | 1.04105 | + | 1.80316i | 0.0333575 | + | 0.0577768i | ||||
\(975\) | 15.3391 | − | 4.56814i | 0.491245 | − | 0.146297i | ||||
\(976\) | −37.7268 | + | 65.3448i | −1.20761 | + | 2.09164i | ||||
\(977\) | 22.5571 | + | 6.04415i | 0.721665 | + | 0.193369i | 0.600914 | − | 0.799313i | \(-0.294803\pi\) |
0.120750 | + | 0.992683i | \(0.461470\pi\) | |||||||
\(978\) | −95.2712 | + | 65.2442i | −3.04644 | + | 2.08628i | ||||
\(979\) | 0.354864 | + | 0.204881i | 0.0113415 | + | 0.00654801i | ||||
\(980\) | 5.71025 | − | 5.71025i | 0.182407 | − | 0.182407i | ||||
\(981\) | −38.9486 | − | 28.4970i | −1.24353 | − | 0.909839i | ||||
\(982\) | 110.810 | + | 29.6914i | 3.53608 | + | 0.947489i | ||||
\(983\) | −0.950342 | + | 3.54673i | −0.0303112 | + | 0.113123i | −0.979424 | − | 0.201813i | \(-0.935317\pi\) |
0.949113 | + | 0.314936i | \(0.101983\pi\) | |||||||
\(984\) | −31.1098 | − | 45.4273i | −0.991744 | − | 1.44817i | ||||
\(985\) | 32.9659 | − | 19.0329i | 1.05038 | − | 0.606438i | ||||
\(986\) | 30.9981 | − | 115.686i | 0.987180 | − | 3.68421i | ||||
\(987\) | 3.17681 | − | 0.244685i | 0.101119 | − | 0.00778842i | ||||
\(988\) | −14.0159 | − | 9.03967i | −0.445905 | − | 0.287590i | ||||
\(989\) | − | 4.64902i | − | 0.147830i | ||||||
\(990\) | 1.69525 | + | 3.84207i | 0.0538787 | + | 0.122109i | ||||
\(991\) | 4.29464 | − | 7.43854i | 0.136424 | − | 0.236293i | −0.789717 | − | 0.613472i | \(-0.789772\pi\) |
0.926140 | + | 0.377179i | \(0.123106\pi\) | |||||||
\(992\) | 17.5544 | − | 30.4052i | 0.557354 | − | 0.965365i | ||||
\(993\) | 41.5883 | − | 14.6491i | 1.31976 | − | 0.464875i | ||||
\(994\) | −7.29543 | − | 7.29543i | −0.231397 | − | 0.231397i | ||||
\(995\) | 19.3535 | + | 19.3535i | 0.613547 | + | 0.613547i | ||||
\(996\) | 21.1352 | − | 112.982i | 0.669694 | − | 3.57998i | ||||
\(997\) | −23.1243 | + | 40.0524i | −0.732353 | + | 1.26847i | 0.223522 | + | 0.974699i | \(0.428245\pi\) |
−0.955875 | + | 0.293774i | \(0.905089\pi\) | |||||||
\(998\) | 1.50300 | − | 2.60327i | 0.0475766 | − | 0.0824050i | ||||
\(999\) | −19.9470 | − | 37.1807i | −0.631096 | − | 1.17634i |
(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 | 819.2.ew.a.176.82 | ✓ | 336 | |
9.2 | odd | 6 | 819.2.fy.a.722.82 | yes | 336 | ||
13.2 | odd | 12 | 819.2.fy.a.743.82 | yes | 336 | ||
117.2 | even | 12 | inner | 819.2.ew.a.470.82 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.ew.a.176.82 | ✓ | 336 | 1.1 | even | 1 | trivial | |
819.2.ew.a.470.82 | yes | 336 | 117.2 | even | 12 | inner | |
819.2.fy.a.722.82 | yes | 336 | 9.2 | odd | 6 | ||
819.2.fy.a.743.82 | yes | 336 | 13.2 | odd | 12 |