Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 235.4 | ||
Character | \(\chi\) | \(=\) | 637.235 |
Dual form | 637.2.bl.b.534.4 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.50899 | − | 0.378169i | −1.77412 | − | 0.267406i | −0.821204 | − | 0.570635i | \(-0.806697\pi\) |
−0.952918 | + | 0.303229i | \(0.901935\pi\) | |||||||
\(3\) | 2.68579 | − | 1.83114i | 1.55064 | − | 1.05721i | 0.580626 | − | 0.814170i | \(-0.302808\pi\) |
0.970016 | − | 0.243040i | \(-0.0781447\pi\) | |||||||
\(4\) | 4.24086 | + | 1.30813i | 2.12043 | + | 0.654066i | ||||
\(5\) | −0.0815020 | − | 1.08757i | −0.0364488 | − | 0.486375i | −0.985321 | − | 0.170714i | \(-0.945393\pi\) |
0.948872 | − | 0.315661i | \(-0.102226\pi\) | |||||||
\(6\) | −7.43110 | + | 3.57863i | −3.03373 | + | 1.46097i | ||||
\(7\) | −1.85680 | − | 1.88475i | −0.701806 | − | 0.712368i | ||||
\(8\) | −5.57346 | − | 2.68404i | −1.97051 | − | 0.948950i | ||||
\(9\) | 2.76437 | − | 7.04351i | 0.921458 | − | 2.34784i | ||||
\(10\) | −0.206797 | + | 2.75952i | −0.0653950 | + | 0.872635i | ||||
\(11\) | 1.58390 | + | 4.03571i | 0.477564 | + | 1.21681i | 0.943315 | + | 0.331898i | \(0.107689\pi\) |
−0.465751 | + | 0.884916i | \(0.654216\pi\) | |||||||
\(12\) | 13.7854 | − | 4.25224i | 3.97951 | − | 1.22752i | ||||
\(13\) | 0.623490 | − | 0.781831i | 0.172925 | − | 0.216841i | ||||
\(14\) | 3.94595 | + | 5.43099i | 1.05460 | + | 1.45149i | ||||
\(15\) | −2.21039 | − | 2.77174i | −0.570720 | − | 0.715660i | ||||
\(16\) | 5.63497 | + | 3.84186i | 1.40874 | + | 0.960464i | ||||
\(17\) | −2.71297 | − | 2.51727i | −0.657991 | − | 0.610527i | 0.278828 | − | 0.960341i | \(-0.410054\pi\) |
−0.936819 | + | 0.349814i | \(0.886245\pi\) | |||||||
\(18\) | −9.59942 | + | 16.6267i | −2.26260 | + | 3.91895i | ||||
\(19\) | −3.05975 | − | 5.29964i | −0.701955 | − | 1.21582i | −0.967779 | − | 0.251800i | \(-0.918977\pi\) |
0.265824 | − | 0.964022i | \(-0.414356\pi\) | |||||||
\(20\) | 1.07704 | − | 4.71884i | 0.240834 | − | 1.05516i | ||||
\(21\) | −8.43823 | − | 1.66197i | −1.84137 | − | 0.362671i | ||||
\(22\) | −2.44781 | − | 10.7245i | −0.521874 | − | 2.28648i | ||||
\(23\) | −3.25900 | + | 3.02391i | −0.679549 | + | 0.630529i | −0.942471 | − | 0.334288i | \(-0.891504\pi\) |
0.262922 | + | 0.964817i | \(0.415314\pi\) | |||||||
\(24\) | −19.8840 | + | 2.99703i | −4.05880 | + | 0.611766i | ||||
\(25\) | 3.76799 | − | 0.567933i | 0.753599 | − | 0.113587i | ||||
\(26\) | −1.85999 | + | 1.72582i | −0.364774 | + | 0.338461i | ||||
\(27\) | −3.30314 | − | 14.4720i | −0.635689 | − | 2.78514i | ||||
\(28\) | −5.40895 | − | 10.4219i | −1.02219 | − | 1.96955i | ||||
\(29\) | −0.314786 | + | 1.37917i | −0.0584544 | + | 0.256105i | −0.995709 | − | 0.0925405i | \(-0.970501\pi\) |
0.937255 | + | 0.348646i | \(0.113358\pi\) | |||||||
\(30\) | 4.49765 | + | 7.79016i | 0.821155 | + | 1.42228i | ||||
\(31\) | 1.21741 | − | 2.10861i | 0.218653 | − | 0.378717i | −0.735744 | − | 0.677260i | \(-0.763167\pi\) |
0.954396 | + | 0.298543i | \(0.0965005\pi\) | |||||||
\(32\) | −3.61578 | − | 3.35495i | −0.639185 | − | 0.593077i | ||||
\(33\) | 11.6440 | + | 7.93874i | 2.02696 | + | 1.38196i | ||||
\(34\) | 5.85485 | + | 7.34175i | 1.00410 | + | 1.25910i | ||||
\(35\) | −1.89846 | + | 2.17301i | −0.320898 | + | 0.367306i | ||||
\(36\) | 20.9372 | − | 26.2544i | 3.48953 | − | 4.37573i | ||||
\(37\) | −3.25439 | + | 1.00385i | −0.535018 | + | 0.165031i | −0.550479 | − | 0.834849i | \(-0.685555\pi\) |
0.0154604 | + | 0.999880i | \(0.495079\pi\) | |||||||
\(38\) | 5.67271 | + | 14.4538i | 0.920236 | + | 2.34472i | ||||
\(39\) | 0.242919 | − | 3.24153i | 0.0388982 | − | 0.519061i | ||||
\(40\) | −2.46482 | + | 6.28027i | −0.389723 | + | 0.992997i | ||||
\(41\) | −6.85890 | − | 3.30307i | −1.07118 | − | 0.515853i | −0.186693 | − | 0.982418i | \(-0.559777\pi\) |
−0.884487 | + | 0.466565i | \(0.845491\pi\) | |||||||
\(42\) | 20.5429 | + | 7.36093i | 3.16984 | + | 1.13582i | ||||
\(43\) | 7.77025 | − | 3.74196i | 1.18495 | − | 0.570643i | 0.265602 | − | 0.964083i | \(-0.414429\pi\) |
0.919350 | + | 0.393440i | \(0.128715\pi\) | |||||||
\(44\) | 1.43786 | + | 19.1868i | 0.216765 | + | 2.89253i | ||||
\(45\) | −7.88560 | − | 2.43239i | −1.17552 | − | 0.362599i | ||||
\(46\) | 9.32034 | − | 6.35450i | 1.37421 | − | 0.936920i | ||||
\(47\) | 10.8241 | + | 1.63147i | 1.57885 | + | 0.237974i | 0.879181 | − | 0.476488i | \(-0.158091\pi\) |
0.699674 | + | 0.714462i | \(0.253329\pi\) | |||||||
\(48\) | 22.1693 | 3.19987 | ||||||||
\(49\) | −0.104552 | + | 6.99922i | −0.0149360 | + | 0.999888i | ||||
\(50\) | −9.66862 | −1.36735 | ||||||||
\(51\) | −11.8959 | − | 1.79302i | −1.66576 | − | 0.251074i | ||||
\(52\) | 3.66687 | − | 2.50003i | 0.508503 | − | 0.346692i | ||||
\(53\) | 1.93326 | + | 0.596331i | 0.265553 | + | 0.0819123i | 0.424673 | − | 0.905347i | \(-0.360389\pi\) |
−0.159119 | + | 0.987259i | \(0.550865\pi\) | |||||||
\(54\) | 2.81467 | + | 37.5592i | 0.383028 | + | 5.11116i | ||||
\(55\) | 4.26002 | − | 2.05152i | 0.574421 | − | 0.276627i | ||||
\(56\) | 5.29009 | + | 15.4883i | 0.706918 | + | 2.06971i | ||||
\(57\) | −17.9223 | − | 8.63090i | −2.37386 | − | 1.14319i | ||||
\(58\) | 1.31135 | − | 3.34128i | 0.172189 | − | 0.438731i | ||||
\(59\) | −0.0449346 | + | 0.599610i | −0.00584998 | + | 0.0780626i | −0.999365 | − | 0.0356415i | \(-0.988653\pi\) |
0.993515 | + | 0.113704i | \(0.0362716\pi\) | |||||||
\(60\) | −5.74814 | − | 14.6460i | −0.742082 | − | 1.89079i | ||||
\(61\) | −6.71464 | + | 2.07119i | −0.859722 | + | 0.265189i | −0.693108 | − | 0.720833i | \(-0.743759\pi\) |
−0.166613 | + | 0.986022i | \(0.553283\pi\) | |||||||
\(62\) | −3.85187 | + | 4.83009i | −0.489188 | + | 0.613422i | ||||
\(63\) | −18.4081 | + | 7.86827i | −2.31921 | + | 0.991309i | ||||
\(64\) | −0.701239 | − | 0.879326i | −0.0876549 | − | 0.109916i | ||||
\(65\) | −0.901111 | − | 0.614367i | −0.111769 | − | 0.0762028i | ||||
\(66\) | −26.2124 | − | 24.3216i | −3.22653 | − | 2.99378i | ||||
\(67\) | 2.94936 | − | 5.10845i | 0.360322 | − | 0.624096i | −0.627692 | − | 0.778462i | \(-0.716000\pi\) |
0.988014 | + | 0.154366i | \(0.0493334\pi\) | |||||||
\(68\) | −8.21240 | − | 14.2243i | −0.995899 | − | 1.72495i | ||||
\(69\) | −3.21579 | + | 14.0893i | −0.387136 | + | 1.69615i | ||||
\(70\) | 5.58497 | − | 4.73412i | 0.667532 | − | 0.565836i | ||||
\(71\) | 2.82382 | + | 12.3720i | 0.335125 | + | 1.46828i | 0.809063 | + | 0.587722i | \(0.199975\pi\) |
−0.473937 | + | 0.880559i | \(0.657168\pi\) | |||||||
\(72\) | −34.3122 | + | 31.8370i | −4.04373 | + | 3.75203i | ||||
\(73\) | 12.5062 | − | 1.88501i | 1.46374 | − | 0.220624i | 0.631647 | − | 0.775256i | \(-0.282379\pi\) |
0.832096 | + | 0.554632i | \(0.187141\pi\) | |||||||
\(74\) | 8.54484 | − | 1.28793i | 0.993318 | − | 0.149719i | ||||
\(75\) | 9.08008 | − | 8.42508i | 1.04848 | − | 0.972844i | ||||
\(76\) | −6.04334 | − | 26.4776i | −0.693218 | − | 3.03719i | ||||
\(77\) | 4.66531 | − | 10.4788i | 0.531662 | − | 1.19417i | ||||
\(78\) | −1.83533 | + | 8.04110i | −0.207810 | + | 0.910476i | ||||
\(79\) | −0.0838893 | − | 0.145301i | −0.00943828 | − | 0.0163476i | 0.861268 | − | 0.508152i | \(-0.169671\pi\) |
−0.870706 | + | 0.491804i | \(0.836338\pi\) | |||||||
\(80\) | 3.71902 | − | 6.44153i | 0.415799 | − | 0.720185i | ||||
\(81\) | −18.7318 | − | 17.3805i | −2.08131 | − | 1.93117i | ||||
\(82\) | 15.9598 | + | 10.8812i | 1.76246 | + | 1.20163i | ||||
\(83\) | −9.64234 | − | 12.0911i | −1.05838 | − | 1.32717i | −0.942610 | − | 0.333896i | \(-0.891636\pi\) |
−0.115775 | − | 0.993276i | \(-0.536935\pi\) | |||||||
\(84\) | −33.6113 | − | 18.0865i | −3.66729 | − | 1.97340i | ||||
\(85\) | −2.51659 | + | 3.15570i | −0.272962 | + | 0.342284i | ||||
\(86\) | −20.9106 | + | 6.45005i | −2.25484 | + | 0.695527i | ||||
\(87\) | 1.68000 | + | 4.28058i | 0.180115 | + | 0.458927i | ||||
\(88\) | 2.00420 | − | 26.7441i | 0.213648 | − | 2.85093i | ||||
\(89\) | −2.38330 | + | 6.07254i | −0.252629 | + | 0.643688i | −0.999780 | − | 0.0209659i | \(-0.993326\pi\) |
0.747151 | + | 0.664654i | \(0.231421\pi\) | |||||||
\(90\) | 18.8650 | + | 9.08491i | 1.98855 | + | 0.957634i | ||||
\(91\) | −2.63125 | + | 0.276587i | −0.275830 | + | 0.0289942i | ||||
\(92\) | −17.7766 | + | 8.56078i | −1.85334 | + | 0.892523i | ||||
\(93\) | −0.591463 | − | 7.89253i | −0.0613319 | − | 0.818417i | ||||
\(94\) | −26.5405 | − | 8.18666i | −2.73744 | − | 0.844390i | ||||
\(95\) | −5.51435 | + | 3.75962i | −0.565760 | + | 0.385729i | ||||
\(96\) | −15.8546 | − | 2.38970i | −1.61815 | − | 0.243897i | ||||
\(97\) | −2.99453 | −0.304048 | −0.152024 | − | 0.988377i | \(-0.548579\pi\) | ||||
−0.152024 | + | 0.988377i | \(0.548579\pi\) | |||||||
\(98\) | 2.90921 | − | 17.5214i | 0.293874 | − | 1.76993i | ||||
\(99\) | 32.8041 | 3.29694 | ||||||||
\(100\) | 16.7225 | + | 2.52050i | 1.67225 | + | 0.252050i | ||||
\(101\) | −4.59897 | + | 3.13553i | −0.457615 | + | 0.311996i | −0.770097 | − | 0.637927i | \(-0.779792\pi\) |
0.312482 | + | 0.949924i | \(0.398840\pi\) | |||||||
\(102\) | 29.1687 | + | 8.99735i | 2.88813 | + | 0.890870i | ||||
\(103\) | −0.605793 | − | 8.08374i | −0.0596905 | − | 0.796514i | −0.944070 | − | 0.329746i | \(-0.893037\pi\) |
0.884379 | − | 0.466769i | \(-0.154582\pi\) | |||||||
\(104\) | −5.57346 | + | 2.68404i | −0.546522 | + | 0.263191i | ||||
\(105\) | −1.11977 | + | 9.31261i | −0.109279 | + | 0.908817i | ||||
\(106\) | −4.62500 | − | 2.22728i | −0.449220 | − | 0.216333i | ||||
\(107\) | −1.30334 | + | 3.32086i | −0.125999 | + | 0.321040i | −0.979929 | − | 0.199348i | \(-0.936117\pi\) |
0.853930 | + | 0.520388i | \(0.174213\pi\) | |||||||
\(108\) | 4.92313 | − | 65.6946i | 0.473728 | − | 6.32147i | ||||
\(109\) | 4.86853 | + | 12.4048i | 0.466321 | + | 1.18817i | 0.949813 | + | 0.312818i | \(0.101273\pi\) |
−0.483492 | + | 0.875349i | \(0.660632\pi\) | |||||||
\(110\) | −11.4642 | + | 3.53623i | −1.09307 | + | 0.337166i | ||||
\(111\) | −6.90243 | + | 8.65537i | −0.655150 | + | 0.821532i | ||||
\(112\) | −3.22210 | − | 17.7541i | −0.304460 | − | 1.67760i | ||||
\(113\) | 6.63873 | + | 8.32470i | 0.624519 | + | 0.783122i | 0.988972 | − | 0.148100i | \(-0.0473156\pi\) |
−0.364453 | + | 0.931222i | \(0.618744\pi\) | |||||||
\(114\) | 41.7028 | + | 28.4325i | 3.90582 | + | 2.66294i | ||||
\(115\) | 3.55433 | + | 3.29793i | 0.331443 | + | 0.307534i | ||||
\(116\) | −3.13910 | + | 5.43708i | −0.291458 | + | 0.504820i | ||||
\(117\) | −3.78328 | − | 6.55283i | −0.349764 | − | 0.605810i | ||||
\(118\) | 0.339494 | − | 1.48742i | 0.0312530 | − | 0.136928i | ||||
\(119\) | 0.293038 | + | 9.78733i | 0.0268628 | + | 0.897203i | ||||
\(120\) | 4.88006 | + | 21.3809i | 0.445486 | + | 1.95180i | ||||
\(121\) | −5.71468 | + | 5.30245i | −0.519516 | + | 0.482041i | ||||
\(122\) | 17.6302 | − | 2.65733i | 1.59616 | − | 0.240583i | ||||
\(123\) | −24.4700 | + | 3.68825i | −2.20638 | + | 0.332559i | ||||
\(124\) | 7.92119 | − | 7.34979i | 0.711343 | − | 0.660030i | ||||
\(125\) | −2.13819 | − | 9.36803i | −0.191246 | − | 0.837902i | ||||
\(126\) | 49.1613 | − | 12.7800i | 4.37964 | − | 1.13853i | ||||
\(127\) | 0.326341 | − | 1.42979i | 0.0289581 | − | 0.126874i | −0.958383 | − | 0.285486i | \(-0.907845\pi\) |
0.987341 | + | 0.158613i | \(0.0507021\pi\) | |||||||
\(128\) | 6.35936 | + | 11.0147i | 0.562094 | + | 0.973575i | ||||
\(129\) | 14.0172 | − | 24.2786i | 1.23415 | − | 2.13761i | ||||
\(130\) | 2.02854 | + | 1.88221i | 0.177915 | + | 0.165081i | ||||
\(131\) | −13.5791 | − | 9.25807i | −1.18641 | − | 0.808881i | −0.201086 | − | 0.979574i | \(-0.564447\pi\) |
−0.985324 | + | 0.170692i | \(0.945400\pi\) | |||||||
\(132\) | 38.9956 | + | 48.8989i | 3.39413 | + | 4.25611i | ||||
\(133\) | −4.30714 | + | 15.6073i | −0.373476 | + | 1.35332i | ||||
\(134\) | −9.33177 | + | 11.7017i | −0.806142 | + | 1.01087i | ||||
\(135\) | −15.4701 | + | 4.77188i | −1.33145 | + | 0.410698i | ||||
\(136\) | 8.36418 | + | 21.3116i | 0.717222 | + | 1.82745i | ||||
\(137\) | 1.24389 | − | 16.5986i | 0.106273 | − | 1.41811i | −0.648045 | − | 0.761602i | \(-0.724413\pi\) |
0.754317 | − | 0.656510i | \(-0.227968\pi\) | |||||||
\(138\) | 13.3965 | − | 34.1337i | 1.14039 | − | 2.90566i | ||||
\(139\) | 7.54731 | + | 3.63459i | 0.640154 | + | 0.308282i | 0.725658 | − | 0.688056i | \(-0.241536\pi\) |
−0.0855035 | + | 0.996338i | \(0.527250\pi\) | |||||||
\(140\) | −10.8937 | + | 6.73200i | −0.920684 | + | 0.568958i | ||||
\(141\) | 32.0587 | − | 15.4386i | 2.69983 | − | 1.30017i | ||||
\(142\) | −2.40623 | − | 32.1089i | −0.201927 | − | 2.69452i | ||||
\(143\) | 4.14280 | + | 1.27788i | 0.346438 | + | 0.106862i | ||||
\(144\) | 42.6373 | − | 29.0696i | 3.55311 | − | 2.42247i | ||||
\(145\) | 1.52560 | + | 0.229947i | 0.126694 | + | 0.0190960i | ||||
\(146\) | −32.0908 | −2.65585 | ||||||||
\(147\) | 12.5358 | + | 18.9899i | 1.03393 | + | 1.56626i | ||||
\(148\) | −15.1146 | −1.24241 | ||||||||
\(149\) | 21.2586 | + | 3.20422i | 1.74157 | + | 0.262500i | 0.941406 | − | 0.337275i | \(-0.109505\pi\) |
0.800168 | + | 0.599775i | \(0.204743\pi\) | |||||||
\(150\) | −25.9679 | + | 17.7046i | −2.12027 | + | 1.44558i | ||||
\(151\) | 9.80394 | + | 3.02411i | 0.797833 | + | 0.246099i | 0.666759 | − | 0.745274i | \(-0.267681\pi\) |
0.131074 | + | 0.991373i | \(0.458157\pi\) | |||||||
\(152\) | 2.82896 | + | 37.7498i | 0.229459 | + | 3.06191i | ||||
\(153\) | −25.2301 | + | 12.1502i | −2.03973 | + | 0.982282i | ||||
\(154\) | −15.6680 | + | 24.5269i | −1.26256 | + | 1.97643i | ||||
\(155\) | −2.39248 | − | 1.15216i | −0.192168 | − | 0.0925434i | ||||
\(156\) | 5.27054 | − | 13.4291i | 0.421981 | − | 1.07519i | ||||
\(157\) | −0.512100 | + | 6.83350i | −0.0408701 | + | 0.545373i | 0.938761 | + | 0.344568i | \(0.111975\pi\) |
−0.979631 | + | 0.200805i | \(0.935644\pi\) | |||||||
\(158\) | 0.155529 | + | 0.396281i | 0.0123732 | + | 0.0315265i | ||||
\(159\) | 6.28429 | − | 1.93845i | 0.498377 | − | 0.153729i | ||||
\(160\) | −3.35404 | + | 4.20584i | −0.265160 | + | 0.332501i | ||||
\(161\) | 11.7506 | + | 0.527584i | 0.926080 | + | 0.0415795i | ||||
\(162\) | 40.4250 | + | 50.6913i | 3.17609 | + | 3.98269i | ||||
\(163\) | 1.80767 | + | 1.23245i | 0.141588 | + | 0.0965328i | 0.632042 | − | 0.774934i | \(-0.282217\pi\) |
−0.490455 | + | 0.871467i | \(0.663169\pi\) | |||||||
\(164\) | −24.7668 | − | 22.9802i | −1.93396 | − | 1.79445i | ||||
\(165\) | 7.68491 | − | 13.3107i | 0.598270 | − | 1.03623i | ||||
\(166\) | 19.6200 | + | 33.9829i | 1.52281 | + | 2.63758i | ||||
\(167\) | 1.59544 | − | 6.99009i | 0.123459 | − | 0.540909i | −0.874934 | − | 0.484242i | \(-0.839095\pi\) |
0.998393 | − | 0.0566672i | \(-0.0180474\pi\) | |||||||
\(168\) | 42.5693 | + | 31.9114i | 3.28430 | + | 2.46202i | ||||
\(169\) | −0.222521 | − | 0.974928i | −0.0171170 | − | 0.0749945i | ||||
\(170\) | 7.50747 | − | 6.96591i | 0.575797 | − | 0.534261i | ||||
\(171\) | −45.7864 | + | 6.90119i | −3.50137 | + | 0.527747i | ||||
\(172\) | 37.8475 | − | 5.70459i | 2.88585 | − | 0.434971i | ||||
\(173\) | 5.96962 | − | 5.53900i | 0.453862 | − | 0.421122i | −0.419829 | − | 0.907603i | \(-0.637910\pi\) |
0.873691 | + | 0.486481i | \(0.161720\pi\) | |||||||
\(174\) | −2.59633 | − | 11.3752i | −0.196827 | − | 0.862355i | ||||
\(175\) | −8.06684 | − | 6.04718i | −0.609796 | − | 0.457124i | ||||
\(176\) | −6.57940 | + | 28.8263i | −0.495941 | + | 2.17286i | ||||
\(177\) | 0.977286 | + | 1.69271i | 0.0734573 | + | 0.127232i | ||||
\(178\) | 8.27611 | − | 14.3346i | 0.620320 | − | 1.07443i | ||||
\(179\) | 0.394261 | + | 0.365821i | 0.0294685 | + | 0.0273427i | 0.694770 | − | 0.719232i | \(-0.255506\pi\) |
−0.665301 | + | 0.746575i | \(0.731697\pi\) | |||||||
\(180\) | −30.2598 | − | 20.6308i | −2.25543 | − | 1.53773i | ||||
\(181\) | −3.62675 | − | 4.54779i | −0.269574 | − | 0.338035i | 0.628557 | − | 0.777764i | \(-0.283646\pi\) |
−0.898131 | + | 0.439729i | \(0.855075\pi\) | |||||||
\(182\) | 6.70638 | + | 0.301105i | 0.497110 | + | 0.0223194i | ||||
\(183\) | −14.2415 | + | 17.8582i | −1.05276 | + | 1.32012i | ||||
\(184\) | 26.2802 | − | 8.10637i | 1.93740 | − | 0.597609i | ||||
\(185\) | 1.35699 | + | 3.45755i | 0.0997679 | + | 0.254204i | ||||
\(186\) | −1.50074 | + | 20.0259i | −0.110039 | + | 1.46837i | ||||
\(187\) | 5.86190 | − | 14.9359i | 0.428664 | − | 1.09222i | ||||
\(188\) | 43.7692 | + | 21.0781i | 3.19220 | + | 1.53728i | ||||
\(189\) | −21.1428 | + | 33.0973i | −1.53791 | + | 2.40747i | ||||
\(190\) | 15.2572 | − | 7.34748i | 1.10687 | − | 0.533042i | ||||
\(191\) | 0.167158 | + | 2.23057i | 0.0120952 | + | 0.161399i | 0.999981 | + | 0.00621436i | \(0.00197811\pi\) |
−0.987886 | + | 0.155184i | \(0.950403\pi\) | |||||||
\(192\) | −3.49355 | − | 1.07762i | −0.252126 | − | 0.0777704i | ||||
\(193\) | 14.6677 | − | 10.0002i | 1.05580 | − | 0.719833i | 0.0945537 | − | 0.995520i | \(-0.469858\pi\) |
0.961248 | + | 0.275687i | \(0.0889052\pi\) | |||||||
\(194\) | 7.51323 | + | 1.13244i | 0.539418 | + | 0.0813042i | ||||
\(195\) | −3.54519 | −0.253876 | ||||||||
\(196\) | −9.59929 | + | 29.5459i | −0.685663 | + | 2.11042i | ||||
\(197\) | 22.1971 | 1.58148 | 0.790740 | − | 0.612152i | \(-0.209696\pi\) | ||||
0.790740 | + | 0.612152i | \(0.209696\pi\) | |||||||
\(198\) | −82.3051 | − | 12.4055i | −5.84917 | − | 0.881620i | ||||
\(199\) | −15.2278 | + | 10.3822i | −1.07947 | + | 0.735972i | −0.966252 | − | 0.257598i | \(-0.917069\pi\) |
−0.113220 | + | 0.993570i | \(0.536117\pi\) | |||||||
\(200\) | −22.5251 | − | 6.94807i | −1.59276 | − | 0.491303i | ||||
\(201\) | −1.43292 | − | 19.1209i | −0.101070 | − | 1.34869i | ||||
\(202\) | 12.7245 | − | 6.12781i | 0.895294 | − | 0.431151i | ||||
\(203\) | 3.18388 | − | 1.96756i | 0.223465 | − | 0.138095i | ||||
\(204\) | −48.1035 | − | 23.1654i | −3.36792 | − | 1.62190i | ||||
\(205\) | −3.03330 | + | 7.72872i | −0.211855 | + | 0.539797i | ||||
\(206\) | −1.53709 | + | 20.5111i | −0.107094 | + | 1.42908i | ||||
\(207\) | 12.2899 | + | 31.3140i | 0.854204 | + | 2.17648i | ||||
\(208\) | 6.51703 | − | 2.01024i | 0.451875 | − | 0.139385i | ||||
\(209\) | 16.5415 | − | 20.7424i | 1.14420 | − | 1.43478i | ||||
\(210\) | 6.33123 | − | 22.9417i | 0.436896 | − | 1.58313i | ||||
\(211\) | 13.9079 | + | 17.4400i | 0.957461 | + | 1.20062i | 0.979619 | + | 0.200864i | \(0.0643748\pi\) |
−0.0221582 | + | 0.999754i | \(0.507054\pi\) | |||||||
\(212\) | 7.41859 | + | 5.05791i | 0.509511 | + | 0.347379i | ||||
\(213\) | 30.2390 | + | 28.0577i | 2.07194 | + | 1.92248i | ||||
\(214\) | 4.52591 | − | 7.83911i | 0.309385 | − | 0.535871i | ||||
\(215\) | −4.70292 | − | 8.14570i | −0.320737 | − | 0.555532i | ||||
\(216\) | −20.4334 | + | 89.5248i | −1.39032 | + | 6.09139i | ||||
\(217\) | −6.23468 | + | 1.62077i | −0.423238 | + | 0.110025i | ||||
\(218\) | −7.52397 | − | 32.9647i | −0.509588 | − | 2.23265i | ||||
\(219\) | 30.1374 | − | 27.9634i | 2.03650 | − | 1.88959i | ||||
\(220\) | 20.7498 | − | 3.12753i | 1.39895 | − | 0.210858i | ||||
\(221\) | −3.65959 | + | 0.551594i | −0.246170 | + | 0.0371042i | ||||
\(222\) | 20.5913 | − | 19.1059i | 1.38200 | − | 1.28231i | ||||
\(223\) | −5.96163 | − | 26.1196i | −0.399220 | − | 1.74910i | −0.630479 | − | 0.776206i | \(-0.717142\pi\) |
0.231259 | − | 0.972892i | \(-0.425715\pi\) | |||||||
\(224\) | 0.390554 | + | 13.0443i | 0.0260950 | + | 0.871560i | ||||
\(225\) | 6.41590 | − | 28.1099i | 0.427726 | − | 1.87399i | ||||
\(226\) | −13.5083 | − | 23.3971i | −0.898561 | − | 1.55635i | ||||
\(227\) | −1.83811 | + | 3.18370i | −0.122000 | + | 0.211310i | −0.920556 | − | 0.390610i | \(-0.872264\pi\) |
0.798556 | + | 0.601920i | \(0.205597\pi\) | |||||||
\(228\) | −64.7154 | − | 60.0471i | −4.28588 | − | 3.97672i | ||||
\(229\) | 17.0595 | + | 11.6310i | 1.12733 | + | 0.768597i | 0.975541 | − | 0.219817i | \(-0.0705459\pi\) |
0.151784 | + | 0.988414i | \(0.451498\pi\) | |||||||
\(230\) | −7.67058 | − | 9.61860i | −0.505783 | − | 0.634232i | ||||
\(231\) | −6.65810 | − | 36.6867i | −0.438071 | − | 2.41381i | ||||
\(232\) | 5.45619 | − | 6.84184i | 0.358216 | − | 0.449189i | ||||
\(233\) | 19.5967 | − | 6.04477i | 1.28382 | − | 0.396006i | 0.423564 | − | 0.905866i | \(-0.360779\pi\) |
0.860257 | + | 0.509860i | \(0.170303\pi\) | |||||||
\(234\) | 7.01412 | + | 17.8717i | 0.458527 | + | 1.16831i | ||||
\(235\) | 0.892149 | − | 11.9049i | 0.0581974 | − | 0.776590i | ||||
\(236\) | −0.974930 | + | 2.48408i | −0.0634625 | + | 0.161700i | ||||
\(237\) | −0.491375 | − | 0.236634i | −0.0319182 | − | 0.0153710i | ||||
\(238\) | 2.96604 | − | 24.6671i | 0.192260 | − | 1.59893i | ||||
\(239\) | −4.98804 | + | 2.40211i | −0.322649 | + | 0.155380i | −0.588196 | − | 0.808718i | \(-0.700162\pi\) |
0.265547 | + | 0.964098i | \(0.414447\pi\) | |||||||
\(240\) | −1.80684 | − | 24.1107i | −0.116631 | − | 1.55634i | ||||
\(241\) | 4.44134 | + | 1.36997i | 0.286092 | + | 0.0882476i | 0.434480 | − | 0.900682i | \(-0.356932\pi\) |
−0.148388 | + | 0.988929i | \(0.547408\pi\) | |||||||
\(242\) | 16.3433 | − | 11.1427i | 1.05059 | − | 0.716277i | ||||
\(243\) | −38.1008 | − | 5.74277i | −2.44417 | − | 0.368399i | ||||
\(244\) | −31.1852 | −1.99643 | ||||||||
\(245\) | 7.62065 | − | 0.456742i | 0.486865 | − | 0.0291802i | ||||
\(246\) | 62.7896 | 4.00332 | ||||||||
\(247\) | −6.05115 | − | 0.912065i | −0.385026 | − | 0.0580333i | ||||
\(248\) | −12.4447 | + | 8.48468i | −0.790242 | + | 0.538778i | ||||
\(249\) | −48.0379 | − | 14.8177i | −3.04428 | − | 0.939035i | ||||
\(250\) | 1.82200 | + | 24.3129i | 0.115233 | + | 1.53768i | ||||
\(251\) | 25.3129 | − | 12.1900i | 1.59773 | − | 0.769428i | 0.598243 | − | 0.801315i | \(-0.295866\pi\) |
0.999491 | + | 0.0318869i | \(0.0101516\pi\) | |||||||
\(252\) | −88.3591 | + | 9.28796i | −5.56610 | + | 0.585086i | ||||
\(253\) | −17.3656 | − | 8.36283i | −1.09176 | − | 0.525766i | ||||
\(254\) | −1.35949 | + | 3.46392i | −0.0853020 | + | 0.217346i | ||||
\(255\) | −0.980494 | + | 13.0838i | −0.0614009 | + | 0.819338i | ||||
\(256\) | −10.9683 | − | 27.9468i | −0.685520 | − | 1.74668i | ||||
\(257\) | 0.935287 | − | 0.288498i | 0.0583416 | − | 0.0179960i | −0.265447 | − | 0.964125i | \(-0.585520\pi\) |
0.323789 | + | 0.946129i | \(0.395043\pi\) | |||||||
\(258\) | −44.3504 | + | 55.6137i | −2.76114 | + | 3.46236i | ||||
\(259\) | 7.93476 | + | 4.26976i | 0.493042 | + | 0.265310i | ||||
\(260\) | −3.01781 | − | 3.78421i | −0.187157 | − | 0.234687i | ||||
\(261\) | 8.84401 | + | 6.02974i | 0.547430 | + | 0.373232i | ||||
\(262\) | 30.5686 | + | 28.3636i | 1.88854 | + | 1.75231i | ||||
\(263\) | −3.62158 | + | 6.27275i | −0.223316 | + | 0.386795i | −0.955813 | − | 0.293976i | \(-0.905021\pi\) |
0.732497 | + | 0.680770i | \(0.238355\pi\) | |||||||
\(264\) | −43.5894 | − | 75.4991i | −2.68274 | − | 4.64665i | ||||
\(265\) | 0.490986 | − | 2.15115i | 0.0301610 | − | 0.132144i | ||||
\(266\) | 16.7087 | − | 37.5296i | 1.02448 | − | 2.30109i | ||||
\(267\) | 4.71865 | + | 20.6737i | 0.288776 | + | 1.26521i | ||||
\(268\) | 19.1904 | − | 17.8060i | 1.17224 | − | 1.08768i | ||||
\(269\) | 4.92602 | − | 0.742479i | 0.300345 | − | 0.0452697i | 0.00285904 | − | 0.999996i | \(-0.499090\pi\) |
0.297486 | + | 0.954726i | \(0.403852\pi\) | |||||||
\(270\) | 40.6188 | − | 6.12229i | 2.47198 | − | 0.372591i | ||||
\(271\) | −19.3927 | + | 17.9938i | −1.17802 | + | 1.09305i | −0.184108 | + | 0.982906i | \(0.558940\pi\) |
−0.993916 | + | 0.110141i | \(0.964870\pi\) | |||||||
\(272\) | −5.61651 | − | 24.6076i | −0.340551 | − | 1.49205i | ||||
\(273\) | −6.56053 | + | 5.56106i | −0.397061 | + | 0.336570i | ||||
\(274\) | −9.39797 | + | 41.1752i | −0.567752 | + | 2.48749i | ||||
\(275\) | 8.26015 | + | 14.3070i | 0.498106 | + | 0.862744i | ||||
\(276\) | −32.0684 | + | 55.5440i | −1.93029 | + | 3.34336i | ||||
\(277\) | 11.0643 | + | 10.2661i | 0.664787 | + | 0.616832i | 0.938623 | − | 0.344944i | \(-0.112102\pi\) |
−0.273836 | + | 0.961776i | \(0.588293\pi\) | |||||||
\(278\) | −17.5616 | − | 11.9733i | −1.05328 | − | 0.718111i | ||||
\(279\) | −11.4866 | − | 14.4038i | −0.687688 | − | 0.862333i | ||||
\(280\) | 16.4134 | − | 7.01566i | 0.980889 | − | 0.419266i | ||||
\(281\) | −9.11755 | + | 11.4330i | −0.543907 | + | 0.682038i | −0.975492 | − | 0.220034i | \(-0.929383\pi\) |
0.431585 | + | 0.902072i | \(0.357955\pi\) | |||||||
\(282\) | −86.2732 | + | 26.6118i | −5.13750 | + | 1.58471i | ||||
\(283\) | 3.10860 | + | 7.92059i | 0.184787 | + | 0.470830i | 0.993008 | − | 0.118050i | \(-0.0376643\pi\) |
−0.808220 | + | 0.588880i | \(0.799569\pi\) | |||||||
\(284\) | −4.20873 | + | 56.1616i | −0.249742 | + | 3.33258i | ||||
\(285\) | −7.92600 | + | 20.1951i | −0.469496 | + | 1.19626i | ||||
\(286\) | −9.91096 | − | 4.77287i | −0.586048 | − | 0.282226i | ||||
\(287\) | 6.51018 | + | 19.0605i | 0.384284 | + | 1.12510i | ||||
\(288\) | −33.6260 | + | 16.1934i | −1.98143 | + | 0.954206i | ||||
\(289\) | −0.246847 | − | 3.29394i | −0.0145204 | − | 0.193761i | ||||
\(290\) | −3.74074 | − | 1.15387i | −0.219664 | − | 0.0677574i | ||||
\(291\) | −8.04267 | + | 5.48340i | −0.471470 | + | 0.321443i | ||||
\(292\) | 55.5030 | + | 8.36573i | 3.24807 | + | 0.489567i | ||||
\(293\) | −9.81870 | −0.573614 | −0.286807 | − | 0.957988i | \(-0.592594\pi\) | ||||
−0.286807 | + | 0.957988i | \(0.592594\pi\) | |||||||
\(294\) | −24.2707 | − | 52.3860i | −1.41549 | − | 3.05522i | ||||
\(295\) | 0.655779 | 0.0381809 | ||||||||
\(296\) | 20.8326 | + | 3.14000i | 1.21087 | + | 0.182509i | ||||
\(297\) | 53.1730 | − | 36.2527i | 3.08541 | − | 2.10360i | ||||
\(298\) | −52.1259 | − | 16.0787i | −3.01957 | − | 0.931414i | ||||
\(299\) | 0.332235 | + | 4.43337i | 0.0192137 | + | 0.256388i | ||||
\(300\) | 49.5284 | − | 23.8516i | 2.85952 | − | 1.37707i | ||||
\(301\) | −21.4805 | − | 7.69689i | −1.23811 | − | 0.443641i | ||||
\(302\) | −23.4543 | − | 11.2950i | −1.34964 | − | 0.649955i | ||||
\(303\) | −6.61029 | + | 16.8427i | −0.379751 | + | 0.967590i | ||||
\(304\) | 3.11887 | − | 41.6185i | 0.178880 | − | 2.38698i | ||||
\(305\) | 2.79982 | + | 7.13382i | 0.160317 | + | 0.408481i | ||||
\(306\) | 67.8967 | − | 20.9434i | 3.88139 | − | 1.19725i | ||||
\(307\) | −13.6740 | + | 17.1467i | −0.780419 | + | 0.978614i | 0.219577 | + | 0.975595i | \(0.429532\pi\) |
−0.999995 | + | 0.00301884i | \(0.999039\pi\) | |||||||
\(308\) | 33.4926 | − | 38.3362i | 1.90842 | − | 2.18441i | ||||
\(309\) | −16.4295 | − | 20.6019i | −0.934642 | − | 1.17200i | ||||
\(310\) | 5.56698 | + | 3.79551i | 0.316183 | + | 0.215570i | ||||
\(311\) | −6.43480 | − | 5.97062i | −0.364884 | − | 0.338563i | 0.476329 | − | 0.879267i | \(-0.341967\pi\) |
−0.841213 | + | 0.540705i | \(0.818158\pi\) | |||||||
\(312\) | −10.0543 | + | 17.4145i | −0.569212 | + | 0.985905i | ||||
\(313\) | 6.02896 | + | 10.4425i | 0.340777 | + | 0.590243i | 0.984577 | − | 0.174951i | \(-0.0559766\pi\) |
−0.643800 | + | 0.765193i | \(0.722643\pi\) | |||||||
\(314\) | 3.86907 | − | 16.9515i | 0.218344 | − | 0.956629i | ||||
\(315\) | 10.0576 | + | 19.3788i | 0.566681 | + | 1.09187i | ||||
\(316\) | −0.165690 | − | 0.725937i | −0.00932081 | − | 0.0408372i | ||||
\(317\) | −8.26423 | + | 7.66809i | −0.464165 | + | 0.430683i | −0.877267 | − | 0.480002i | \(-0.840636\pi\) |
0.413102 | + | 0.910685i | \(0.364445\pi\) | |||||||
\(318\) | −16.5003 | + | 2.48702i | −0.925289 | + | 0.139465i | ||||
\(319\) | −6.06453 | + | 0.914080i | −0.339548 | + | 0.0511787i | ||||
\(320\) | −0.899175 | + | 0.834312i | −0.0502654 | + | 0.0466395i | ||||
\(321\) | 2.58046 | + | 11.3057i | 0.144027 | + | 0.631025i | ||||
\(322\) | −29.2827 | − | 5.76743i | −1.63186 | − | 0.321406i | ||||
\(323\) | −5.03961 | + | 22.0800i | −0.280411 | + | 1.22856i | ||||
\(324\) | −56.7028 | − | 98.2120i | −3.15015 | − | 5.45622i | ||||
\(325\) | 1.90528 | − | 3.30004i | 0.105686 | − | 0.183053i | ||||
\(326\) | −4.06935 | − | 3.77580i | −0.225380 | − | 0.209122i | ||||
\(327\) | 35.7909 | + | 24.4018i | 1.97924 | + | 1.34942i | ||||
\(328\) | 29.3622 | + | 36.8190i | 1.62126 | + | 2.03299i | ||||
\(329\) | −17.0233 | − | 23.4300i | −0.938525 | − | 1.29174i | ||||
\(330\) | −24.3150 | + | 30.4901i | −1.33850 | + | 1.67842i | ||||
\(331\) | 27.3117 | − | 8.42456i | 1.50119 | − | 0.463055i | 0.568179 | − | 0.822905i | \(-0.307648\pi\) |
0.933010 | + | 0.359850i | \(0.117172\pi\) | |||||||
\(332\) | −25.0750 | − | 63.8901i | −1.37617 | − | 3.50643i | ||||
\(333\) | −1.92575 | + | 25.6973i | −0.105530 | + | 1.40821i | ||||
\(334\) | −6.64638 | + | 16.9347i | −0.363674 | + | 0.926625i | ||||
\(335\) | −5.79616 | − | 2.79129i | −0.316678 | − | 0.152504i | ||||
\(336\) | −41.1641 | − | 41.7836i | −2.24569 | − | 2.27948i | ||||
\(337\) | −1.44397 | + | 0.695379i | −0.0786580 | + | 0.0378797i | −0.472799 | − | 0.881170i | \(-0.656756\pi\) |
0.394141 | + | 0.919050i | \(0.371042\pi\) | |||||||
\(338\) | 0.189615 | + | 2.53023i | 0.0103137 | + | 0.137626i | ||||
\(339\) | 33.0740 | + | 10.2020i | 1.79633 | + | 0.554095i | ||||
\(340\) | −14.8006 | + | 10.0908i | −0.802673 | + | 0.547253i | ||||
\(341\) | 10.4380 | + | 1.57328i | 0.565249 | + | 0.0851976i | ||||
\(342\) | 117.487 | 6.35299 | ||||||||
\(343\) | 13.3859 | − | 12.7991i | 0.722771 | − | 0.691088i | ||||
\(344\) | −53.3507 | −2.87648 | ||||||||
\(345\) | 15.5852 | + | 2.34908i | 0.839077 | + | 0.126470i | ||||
\(346\) | −17.0724 | + | 11.6397i | −0.917817 | + | 0.625757i | ||||
\(347\) | 11.6572 | + | 3.59576i | 0.625790 | + | 0.193031i | 0.591401 | − | 0.806378i | \(-0.298575\pi\) |
0.0343895 | + | 0.999409i | \(0.489051\pi\) | |||||||
\(348\) | 1.52510 | + | 20.3510i | 0.0817538 | + | 1.09093i | ||||
\(349\) | 2.83828 | − | 1.36684i | 0.151929 | − | 0.0731654i | −0.356374 | − | 0.934343i | \(-0.615987\pi\) |
0.508303 | + | 0.861178i | \(0.330273\pi\) | |||||||
\(350\) | 17.9527 | + | 18.2229i | 0.959614 | + | 0.974056i | ||||
\(351\) | −13.3741 | − | 6.44064i | −0.713858 | − | 0.343776i | ||||
\(352\) | 7.81259 | − | 19.9061i | 0.416412 | − | 1.06100i | ||||
\(353\) | 1.92675 | − | 25.7106i | 0.102550 | − | 1.36844i | −0.674162 | − | 0.738584i | \(-0.735495\pi\) |
0.776712 | − | 0.629856i | \(-0.216886\pi\) | |||||||
\(354\) | −1.81187 | − | 4.61656i | −0.0962997 | − | 0.245368i | ||||
\(355\) | 13.2252 | − | 4.07943i | 0.701920 | − | 0.216514i | ||||
\(356\) | −18.0509 | + | 22.6351i | −0.956696 | + | 1.19966i | ||||
\(357\) | 18.7090 | + | 25.7501i | 0.990187 | + | 1.36284i | ||||
\(358\) | −0.850854 | − | 1.06694i | −0.0449690 | − | 0.0563894i | ||||
\(359\) | 5.63201 | + | 3.83984i | 0.297246 | + | 0.202659i | 0.702755 | − | 0.711432i | \(-0.251953\pi\) |
−0.405509 | + | 0.914091i | \(0.632906\pi\) | |||||||
\(360\) | 37.4214 | + | 34.7220i | 1.97228 | + | 1.83001i | ||||
\(361\) | −9.22416 | + | 15.9767i | −0.485482 | + | 0.840879i | ||||
\(362\) | 7.37962 | + | 12.7819i | 0.387864 | + | 0.671801i | ||||
\(363\) | −5.63891 | + | 24.7057i | −0.295966 | + | 1.29671i | ||||
\(364\) | −11.5206 | − | 2.26906i | −0.603843 | − | 0.118931i | ||||
\(365\) | −3.06936 | − | 13.4477i | −0.160658 | − | 0.703887i | ||||
\(366\) | 42.4851 | − | 39.4204i | 2.22073 | − | 2.06054i | ||||
\(367\) | −22.5755 | + | 3.40272i | −1.17843 | + | 0.177620i | −0.708910 | − | 0.705299i | \(-0.750813\pi\) |
−0.469524 | + | 0.882920i | \(0.655574\pi\) | |||||||
\(368\) | −29.9818 | + | 4.51903i | −1.56291 | + | 0.235571i | ||||
\(369\) | −42.2258 | + | 39.1798i | −2.19819 | + | 2.03962i | ||||
\(370\) | −2.09713 | − | 9.18813i | −0.109025 | − | 0.477668i | ||||
\(371\) | −2.46575 | − | 4.75097i | −0.128015 | − | 0.246658i | ||||
\(372\) | 7.81615 | − | 34.2448i | 0.405249 | − | 1.77551i | ||||
\(373\) | 7.99078 | + | 13.8404i | 0.413747 | + | 0.716630i | 0.995296 | − | 0.0968808i | \(-0.0308865\pi\) |
−0.581549 | + | 0.813511i | \(0.697553\pi\) | |||||||
\(374\) | −20.3557 | + | 35.2571i | −1.05257 | + | 1.82310i | ||||
\(375\) | −22.8969 | − | 21.2452i | −1.18239 | − | 1.09710i | ||||
\(376\) | −55.9486 | − | 38.1451i | −2.88533 | − | 1.96719i | ||||
\(377\) | 0.882012 | + | 1.10601i | 0.0454259 | + | 0.0569623i | ||||
\(378\) | 65.5633 | − | 75.0450i | 3.37221 | − | 3.85990i | ||||
\(379\) | −6.26257 | + | 7.85302i | −0.321687 | + | 0.403382i | −0.916212 | − | 0.400695i | \(-0.868769\pi\) |
0.594525 | + | 0.804077i | \(0.297340\pi\) | |||||||
\(380\) | −28.3036 | + | 8.73052i | −1.45195 | + | 0.447866i | ||||
\(381\) | −1.74167 | − | 4.43771i | −0.0892285 | − | 0.227351i | ||||
\(382\) | 0.424136 | − | 5.65970i | 0.0217007 | − | 0.289575i | ||||
\(383\) | 9.38272 | − | 23.9068i | 0.479435 | − | 1.22158i | −0.462751 | − | 0.886488i | \(-0.653138\pi\) |
0.942186 | − | 0.335091i | \(-0.108767\pi\) | |||||||
\(384\) | 37.2495 | + | 17.9384i | 1.90088 | + | 0.915415i | ||||
\(385\) | −11.7766 | − | 4.21980i | −0.600193 | − | 0.215061i | ||||
\(386\) | −40.5827 | + | 19.5436i | −2.06561 | + | 0.994744i | ||||
\(387\) | −4.87662 | − | 65.0740i | −0.247893 | − | 3.30790i | ||||
\(388\) | −12.6994 | − | 3.91723i | −0.644712 | − | 0.198867i | ||||
\(389\) | 15.9688 | − | 10.8873i | 0.809650 | − | 0.552010i | −0.0862457 | − | 0.996274i | \(-0.527487\pi\) |
0.895896 | + | 0.444264i | \(0.146535\pi\) | |||||||
\(390\) | 8.89483 | + | 1.34068i | 0.450407 | + | 0.0678880i | ||||
\(391\) | 16.4536 | 0.832092 | ||||||||
\(392\) | 19.3689 | − | 38.7292i | 0.978276 | − | 1.95612i | ||||
\(393\) | −53.4235 | −2.69486 | ||||||||
\(394\) | −55.6923 | − | 8.39426i | −2.80574 | − | 0.422897i | ||||
\(395\) | −0.151187 | + | 0.103078i | −0.00760705 | + | 0.00518640i | ||||
\(396\) | 139.118 | + | 42.9121i | 6.99092 | + | 2.15641i | ||||
\(397\) | −0.403725 | − | 5.38733i | −0.0202624 | − | 0.270382i | −0.998129 | − | 0.0611510i | \(-0.980523\pi\) |
0.977866 | − | 0.209231i | \(-0.0670962\pi\) | |||||||
\(398\) | 42.1326 | − | 20.2900i | 2.11192 | − | 1.01705i | ||||
\(399\) | 17.0111 | + | 49.8048i | 0.851618 | + | 2.49336i | ||||
\(400\) | 23.4144 | + | 11.2758i | 1.17072 | + | 0.563790i | ||||
\(401\) | −4.48114 | + | 11.4178i | −0.223778 | + | 0.570176i | −0.998033 | − | 0.0626978i | \(-0.980030\pi\) |
0.774255 | + | 0.632874i | \(0.218125\pi\) | |||||||
\(402\) | −3.63578 | + | 48.5161i | −0.181336 | + | 2.41976i | ||||
\(403\) | −0.889537 | − | 2.26650i | −0.0443110 | − | 0.112903i | ||||
\(404\) | −23.6053 | + | 7.28126i | −1.17441 | + | 0.362256i | ||||
\(405\) | −17.3759 | + | 21.7886i | −0.863413 | + | 1.08269i | ||||
\(406\) | −8.73239 | + | 3.73252i | −0.433381 | + | 0.185242i | ||||
\(407\) | −9.20587 | − | 11.5438i | −0.456318 | − | 0.572205i | ||||
\(408\) | 61.4890 | + | 41.9225i | 3.04416 | + | 2.07547i | ||||
\(409\) | 3.24327 | + | 3.00932i | 0.160369 | + | 0.148801i | 0.756276 | − | 0.654253i | \(-0.227017\pi\) |
−0.595907 | + | 0.803054i | \(0.703207\pi\) | |||||||
\(410\) | 10.5333 | − | 18.2442i | 0.520201 | − | 0.901015i | ||||
\(411\) | −27.0535 | − | 46.8581i | −1.33445 | − | 2.31134i | ||||
\(412\) | 8.00551 | − | 35.0744i | 0.394403 | − | 1.72799i | ||||
\(413\) | 1.21355 | − | 1.02867i | 0.0597148 | − | 0.0506175i | ||||
\(414\) | −18.9931 | − | 83.2142i | −0.933459 | − | 4.08975i | ||||
\(415\) | −12.3640 | + | 11.4722i | −0.606927 | + | 0.563146i | ||||
\(416\) | −4.87740 | + | 0.735150i | −0.239134 | + | 0.0360437i | ||||
\(417\) | 26.9259 | − | 4.05843i | 1.31857 | − | 0.198742i | ||||
\(418\) | −49.3466 | + | 45.7869i | −2.41362 | + | 2.23951i | ||||
\(419\) | −1.98639 | − | 8.70293i | −0.0970414 | − | 0.425166i | 0.902948 | − | 0.429750i | \(-0.141398\pi\) |
−0.999989 | + | 0.00458355i | \(0.998541\pi\) | |||||||
\(420\) | −16.9309 | + | 38.0286i | −0.826143 | + | 1.85561i | ||||
\(421\) | 4.00139 | − | 17.5312i | 0.195016 | − | 0.854420i | −0.778835 | − | 0.627229i | \(-0.784189\pi\) |
0.973850 | − | 0.227191i | \(-0.0729540\pi\) | |||||||
\(422\) | −28.2995 | − | 49.0162i | −1.37760 | − | 2.38607i | ||||
\(423\) | 41.4131 | − | 71.7296i | 2.01357 | − | 3.48761i | ||||
\(424\) | −9.17435 | − | 8.51255i | −0.445546 | − | 0.413406i | ||||
\(425\) | −11.6521 | − | 7.94426i | −0.565209 | − | 0.385353i | ||||
\(426\) | −65.2587 | − | 81.8318i | −3.16179 | − | 3.96476i | ||||
\(427\) | 16.3715 | + | 8.80961i | 0.792270 | + | 0.426327i | ||||
\(428\) | −9.87141 | + | 12.3784i | −0.477153 | + | 0.598330i | ||||
\(429\) | 13.4667 | − | 4.15392i | 0.650177 | − | 0.200553i | ||||
\(430\) | 8.71912 | + | 22.2160i | 0.420473 | + | 1.07135i | ||||
\(431\) | −0.147751 | + | 1.97160i | −0.00711690 | + | 0.0949684i | −0.999631 | − | 0.0271611i | \(-0.991353\pi\) |
0.992514 | + | 0.122130i | \(0.0389723\pi\) | |||||||
\(432\) | 36.9863 | − | 94.2394i | 1.77950 | − | 4.53410i | ||||
\(433\) | 11.5885 | + | 5.58072i | 0.556907 | + | 0.268192i | 0.691096 | − | 0.722763i | \(-0.257128\pi\) |
−0.134188 | + | 0.990956i | \(0.542843\pi\) | |||||||
\(434\) | 16.2557 | − | 1.70873i | 0.780297 | − | 0.0820217i | ||||
\(435\) | 4.51850 | − | 2.17599i | 0.216645 | − | 0.104331i | ||||
\(436\) | 4.41962 | + | 58.9758i | 0.211662 | + | 2.82443i | ||||
\(437\) | 25.9974 | + | 8.01914i | 1.24362 | + | 0.383607i | ||||
\(438\) | −86.1892 | + | 58.7628i | −4.11828 | + | 2.80780i | ||||
\(439\) | 0.284644 | + | 0.0429032i | 0.0135853 | + | 0.00204766i | 0.155831 | − | 0.987784i | \(-0.450194\pi\) |
−0.142246 | + | 0.989831i | \(0.545432\pi\) | |||||||
\(440\) | −29.2494 | −1.39441 | ||||||||
\(441\) | 49.0101 | + | 20.0849i | 2.33381 | + | 0.956423i | ||||
\(442\) | 9.39045 | 0.446658 | ||||||||
\(443\) | −32.8304 | − | 4.94839i | −1.55982 | − | 0.235105i | −0.688286 | − | 0.725440i | \(-0.741636\pi\) |
−0.871534 | + | 0.490335i | \(0.836875\pi\) | |||||||
\(444\) | −40.5946 | + | 27.6769i | −1.92653 | + | 1.31349i | ||||
\(445\) | 6.79855 | + | 2.09707i | 0.322282 | + | 0.0994108i | ||||
\(446\) | 5.08003 | + | 67.7883i | 0.240546 | + | 3.20987i | ||||
\(447\) | 62.9636 | − | 30.3217i | 2.97808 | − | 1.43417i | ||||
\(448\) | −0.355244 | + | 2.95440i | −0.0167837 | + | 0.139582i | ||||
\(449\) | 26.4234 | + | 12.7248i | 1.24700 | + | 0.600522i | 0.936705 | − | 0.350120i | \(-0.113859\pi\) |
0.310291 | + | 0.950642i | \(0.399573\pi\) | |||||||
\(450\) | −26.7277 | + | 68.1010i | −1.25995 | + | 3.21031i | ||||
\(451\) | 2.46644 | − | 32.9123i | 0.116140 | − | 1.54978i | ||||
\(452\) | 17.2641 | + | 43.9882i | 0.812035 | + | 2.06903i | ||||
\(453\) | 31.8689 | − | 9.83026i | 1.49733 | − | 0.461866i | ||||
\(454\) | 5.81577 | − | 7.29275i | 0.272948 | − | 0.342266i | ||||
\(455\) | 0.515260 | + | 2.83913i | 0.0241557 | + | 0.133100i | ||||
\(456\) | 76.7233 | + | 96.2079i | 3.59290 | + | 4.50535i | ||||
\(457\) | −18.9559 | − | 12.9239i | −0.886721 | − | 0.604556i | 0.0319896 | − | 0.999488i | \(-0.489816\pi\) |
−0.918710 | + | 0.394932i | \(0.870768\pi\) | |||||||
\(458\) | −38.4036 | − | 35.6334i | −1.79448 | − | 1.66504i | ||||
\(459\) | −27.4686 | + | 47.5769i | −1.28212 | + | 2.22070i | ||||
\(460\) | 10.7593 | + | 18.6356i | 0.501653 | + | 0.868889i | ||||
\(461\) | −4.46418 | + | 19.5589i | −0.207918 | + | 0.910947i | 0.758032 | + | 0.652217i | \(0.226161\pi\) |
−0.965950 | + | 0.258730i | \(0.916696\pi\) | |||||||
\(462\) | 2.83131 | + | 94.5643i | 0.131724 | + | 4.39953i | ||||
\(463\) | −2.59767 | − | 11.3811i | −0.120724 | − | 0.528927i | −0.998735 | − | 0.0502859i | \(-0.983987\pi\) |
0.878011 | − | 0.478641i | \(-0.158870\pi\) | |||||||
\(464\) | −7.07239 | + | 6.56222i | −0.328327 | + | 0.304643i | ||||
\(465\) | −8.53546 | + | 1.28651i | −0.395822 | + | 0.0596606i | ||||
\(466\) | −51.4538 | + | 7.75541i | −2.38355 | + | 0.359262i | ||||
\(467\) | −9.35248 | + | 8.67783i | −0.432781 | + | 0.401562i | −0.866254 | − | 0.499605i | \(-0.833479\pi\) |
0.433472 | + | 0.901167i | \(0.357288\pi\) | |||||||
\(468\) | −7.47238 | − | 32.7387i | −0.345411 | − | 1.51334i | ||||
\(469\) | −15.1045 | + | 3.92658i | −0.697463 | + | 0.181313i | ||||
\(470\) | −6.74045 | + | 29.5318i | −0.310914 | + | 1.36220i | ||||
\(471\) | 11.1377 | + | 19.2911i | 0.513199 | + | 0.888887i | ||||
\(472\) | 1.85981 | − | 3.22129i | 0.0856049 | − | 0.148272i | ||||
\(473\) | 27.4088 | + | 25.4316i | 1.26026 | + | 1.16935i | ||||
\(474\) | 1.14337 | + | 0.779534i | 0.0525165 | + | 0.0358052i | ||||
\(475\) | −14.5390 | − | 18.2313i | −0.667094 | − | 0.836509i | ||||
\(476\) | −11.5604 | + | 41.8900i | −0.529869 | + | 1.92003i | ||||
\(477\) | 9.54451 | − | 11.9684i | 0.437013 | − | 0.547997i | ||||
\(478\) | 13.4233 | − | 4.14055i | 0.613969 | − | 0.189384i | ||||
\(479\) | 1.35702 | + | 3.45762i | 0.0620036 | + | 0.157983i | 0.958518 | − | 0.285032i | \(-0.0920042\pi\) |
−0.896514 | + | 0.443015i | \(0.853909\pi\) | |||||||
\(480\) | −1.30678 | + | 17.4377i | −0.0596459 | + | 0.795920i | ||||
\(481\) | −1.24424 | + | 3.17027i | −0.0567325 | + | 0.144552i | ||||
\(482\) | −10.6252 | − | 5.11682i | −0.483964 | − | 0.233065i | ||||
\(483\) | 32.5259 | − | 20.1001i | 1.47998 | − | 0.914587i | ||||
\(484\) | −31.1714 | + | 15.0114i | −1.41688 | + | 0.682335i | ||||
\(485\) | 0.244060 | + | 3.25675i | 0.0110822 | + | 0.147881i | ||||
\(486\) | 93.4226 | + | 28.8171i | 4.23774 | + | 1.30717i | ||||
\(487\) | −16.5943 | + | 11.3138i | −0.751957 | + | 0.512676i | −0.877596 | − | 0.479400i | \(-0.840854\pi\) |
0.125639 | + | 0.992076i | \(0.459902\pi\) | |||||||
\(488\) | 42.9829 | + | 6.47863i | 1.94574 | + | 0.293274i | ||||
\(489\) | 7.11181 | 0.321607 | ||||||||
\(490\) | −19.2928 | − | 1.73593i | −0.871561 | − | 0.0784214i | ||||
\(491\) | 0.664092 | 0.0299701 | 0.0149850 | − | 0.999888i | \(-0.495230\pi\) | ||||
0.0149850 | + | 0.999888i | \(0.495230\pi\) | |||||||
\(492\) | −108.598 | − | 16.3686i | −4.89599 | − | 0.737952i | ||||
\(493\) | 4.32574 | − | 2.94924i | 0.194822 | − | 0.132827i | ||||
\(494\) | 14.8373 | + | 4.57672i | 0.667564 | + | 0.205916i | ||||
\(495\) | −2.67360 | − | 35.6767i | −0.120169 | − | 1.60355i | ||||
\(496\) | 14.9610 | − | 7.20485i | 0.671770 | − | 0.323507i | ||||
\(497\) | 18.0747 | − | 28.2945i | 0.810763 | − | 1.26918i | ||||
\(498\) | 114.923 | + | 55.3439i | 5.14981 | + | 2.48002i | ||||
\(499\) | 14.3134 | − | 36.4699i | 0.640756 | − | 1.63262i | −0.127020 | − | 0.991900i | \(-0.540541\pi\) |
0.767776 | − | 0.640718i | \(-0.221363\pi\) | |||||||
\(500\) | 3.18685 | − | 42.5255i | 0.142520 | − | 1.90180i | ||||
\(501\) | −8.51482 | − | 21.6954i | −0.380414 | − | 0.969279i | ||||
\(502\) | −68.1195 | + | 21.0121i | −3.04032 | + | 0.937816i | ||||
\(503\) | −11.7241 | + | 14.7016i | −0.522752 | + | 0.655510i | −0.971191 | − | 0.238304i | \(-0.923409\pi\) |
0.448439 | + | 0.893813i | \(0.351980\pi\) | |||||||
\(504\) | 123.716 | + | 5.55463i | 5.51074 | + | 0.247423i | ||||
\(505\) | 3.78492 | + | 4.74614i | 0.168427 | + | 0.211201i | ||||
\(506\) | 40.4075 | + | 27.5493i | 1.79633 | + | 1.22472i | ||||
\(507\) | −2.38288 | − | 2.21099i | −0.105827 | − | 0.0981933i | ||||
\(508\) | 3.25433 | − | 5.63666i | 0.144387 | − | 0.250086i | ||||
\(509\) | 3.68251 | + | 6.37830i | 0.163224 | + | 0.282713i | 0.936023 | − | 0.351938i | \(-0.114477\pi\) |
−0.772799 | + | 0.634651i | \(0.781144\pi\) | |||||||
\(510\) | 7.40792 | − | 32.4562i | 0.328028 | − | 1.43719i | ||||
\(511\) | −26.7744 | − | 20.0710i | −1.18443 | − | 0.887889i | ||||
\(512\) | 11.2904 | + | 49.4664i | 0.498970 | + | 2.18613i | ||||
\(513\) | −66.5896 | + | 61.7862i | −2.94000 | + | 2.72793i | ||||
\(514\) | −2.45572 | + | 0.370141i | −0.108317 | + | 0.0163262i | ||||
\(515\) | −8.74224 | + | 1.31768i | −0.385229 | + | 0.0580640i | ||||
\(516\) | 91.2046 | − | 84.6255i | 4.01506 | − | 3.72543i | ||||
\(517\) | 10.5601 | + | 46.2670i | 0.464434 | + | 2.03482i | ||||
\(518\) | −18.2935 | − | 13.7135i | −0.803772 | − | 0.602534i | ||||
\(519\) | 5.89047 | − | 25.8078i | 0.258563 | − | 1.13284i | ||||
\(520\) | 3.37332 | + | 5.84276i | 0.147930 | + | 0.256222i | ||||
\(521\) | −2.98370 | + | 5.16793i | −0.130718 | + | 0.226411i | −0.923954 | − | 0.382504i | \(-0.875062\pi\) |
0.793235 | + | 0.608915i | \(0.208395\pi\) | |||||||
\(522\) | −19.9092 | − | 18.4731i | −0.871404 | − | 0.808545i | ||||
\(523\) | 25.4679 | + | 17.3637i | 1.11363 | + | 0.759262i | 0.973001 | − | 0.230800i | \(-0.0741342\pi\) |
0.140632 | + | 0.990062i | \(0.455087\pi\) | |||||||
\(524\) | −45.4762 | − | 57.0254i | −1.98664 | − | 2.49117i | ||||
\(525\) | −32.7391 | − | 1.46993i | −1.42885 | − | 0.0641530i | ||||
\(526\) | 11.4586 | − | 14.3687i | 0.499621 | − | 0.626505i | ||||
\(527\) | −8.61072 | + | 2.65605i | −0.375089 | + | 0.115700i | ||||
\(528\) | 35.1141 | + | 89.4692i | 1.52814 | + | 3.89365i | ||||
\(529\) | −0.241741 | + | 3.22581i | −0.0105105 | + | 0.140253i | ||||
\(530\) | −2.04538 | + | 5.21153i | −0.0888455 | + | 0.226375i | ||||
\(531\) | 4.09914 | + | 1.97404i | 0.177888 | + | 0.0856662i | ||||
\(532\) | −38.6823 | + | 60.5539i | −1.67709 | + | 2.62534i | ||||
\(533\) | −6.85890 | + | 3.30307i | −0.297092 | + | 0.143072i | ||||
\(534\) | −4.02086 | − | 53.6546i | −0.173999 | − | 2.32186i | ||||
\(535\) | 3.71789 | + | 1.14682i | 0.160738 | + | 0.0495812i | ||||
\(536\) | −30.1494 | + | 20.5555i | −1.30226 | + | 0.887863i | ||||
\(537\) | 1.72877 | + | 0.260571i | 0.0746021 | + | 0.0112445i | ||||
\(538\) | −12.6401 | −0.544954 | ||||||||
\(539\) | −28.4125 | + | 10.6641i | −1.22381 | + | 0.459337i | ||||
\(540\) | −71.8486 | −3.09187 | ||||||||
\(541\) | −19.3843 | − | 2.92171i | −0.833396 | − | 0.125614i | −0.281536 | − | 0.959551i | \(-0.590844\pi\) |
−0.551860 | + | 0.833937i | \(0.686082\pi\) | |||||||
\(542\) | 55.4608 | − | 37.8125i | 2.38225 | − | 1.62419i | ||||
\(543\) | −18.0683 | − | 5.57335i | −0.775387 | − | 0.239175i | ||||
\(544\) | 1.36418 | + | 18.2037i | 0.0584888 | + | 0.780479i | ||||
\(545\) | 13.0943 | − | 6.30588i | 0.560898 | − | 0.270114i | ||||
\(546\) | 18.5633 | − | 11.4716i | 0.794436 | − | 0.490940i | ||||
\(547\) | −16.9181 | − | 8.14733i | −0.723366 | − | 0.348355i | 0.0357053 | − | 0.999362i | \(-0.488632\pi\) |
−0.759071 | + | 0.651008i | \(0.774347\pi\) | |||||||
\(548\) | 26.9883 | − | 68.7650i | 1.15288 | − | 2.93750i | ||||
\(549\) | −3.97331 | + | 53.0202i | −0.169577 | + | 2.26285i | ||||
\(550\) | −15.3141 | − | 39.0198i | −0.652997 | − | 1.66381i | ||||
\(551\) | 8.27228 | − | 2.55166i | 0.352411 | − | 0.108704i | ||||
\(552\) | 55.7392 | − | 69.8948i | 2.37242 | − | 2.97492i | ||||
\(553\) | −0.118089 | + | 0.427905i | −0.00502165 | + | 0.0181964i | ||||
\(554\) | −23.8777 | − | 29.9417i | −1.01447 | − | 1.27210i | ||||
\(555\) | 9.97587 | + | 6.80143i | 0.423452 | + | 0.288705i | ||||
\(556\) | 27.2525 | + | 25.2867i | 1.15576 | + | 1.07239i | ||||
\(557\) | −15.1886 | + | 26.3074i | −0.643560 | + | 1.11468i | 0.341072 | + | 0.940037i | \(0.389210\pi\) |
−0.984632 | + | 0.174642i | \(0.944123\pi\) | |||||||
\(558\) | 23.3728 | + | 40.4828i | 0.989449 | + | 1.71378i | ||||
\(559\) | 1.91909 | − | 8.40810i | 0.0811690 | − | 0.355625i | ||||
\(560\) | −19.0462 | + | 4.95125i | −0.804847 | + | 0.209229i | ||||
\(561\) | −11.6059 | − | 50.8486i | −0.490000 | − | 2.14683i | ||||
\(562\) | 27.1994 | − | 25.2374i | 1.14734 | − | 1.06457i | ||||
\(563\) | 6.36372 | − | 0.959176i | 0.268199 | − | 0.0404245i | −0.0135660 | − | 0.999908i | \(-0.504318\pi\) |
0.281765 | + | 0.959484i | \(0.409080\pi\) | |||||||
\(564\) | 156.152 | − | 23.5361i | 6.57519 | − | 0.991050i | ||||
\(565\) | 8.51261 | − | 7.89855i | 0.358128 | − | 0.332294i | ||||
\(566\) | −4.80412 | − | 21.0482i | −0.201932 | − | 0.884723i | ||||
\(567\) | 2.02329 | + | 67.5770i | 0.0849703 | + | 2.83797i | ||||
\(568\) | 17.4683 | − | 76.5338i | 0.732955 | − | 3.21129i | ||||
\(569\) | −12.2512 | − | 21.2197i | −0.513597 | − | 0.889576i | −0.999876 | − | 0.0157720i | \(-0.994979\pi\) |
0.486279 | − | 0.873804i | \(-0.338354\pi\) | |||||||
\(570\) | 27.5234 | − | 47.6719i | 1.15283 | − | 1.99676i | ||||
\(571\) | −15.5992 | − | 14.4740i | −0.652807 | − | 0.605717i | 0.282622 | − | 0.959231i | \(-0.408796\pi\) |
−0.935429 | + | 0.353515i | \(0.884986\pi\) | |||||||
\(572\) | 15.8974 | + | 10.8386i | 0.664702 | + | 0.453186i | ||||
\(573\) | 4.53345 | + | 5.68477i | 0.189388 | + | 0.237485i | ||||
\(574\) | −9.12587 | − | 50.2844i | −0.380907 | − | 2.09883i | ||||
\(575\) | −10.5625 | + | 13.2450i | −0.440487 | + | 0.552354i | ||||
\(576\) | −8.13203 | + | 2.50840i | −0.338835 | + | 0.104517i | ||||
\(577\) | 5.86081 | + | 14.9331i | 0.243989 | + | 0.621673i | 0.999438 | − | 0.0335345i | \(-0.0106764\pi\) |
−0.755449 | + | 0.655208i | \(0.772581\pi\) | |||||||
\(578\) | −0.626330 | + | 8.35780i | −0.0260519 | + | 0.347639i | ||||
\(579\) | 21.0824 | − | 53.7171i | 0.876156 | − | 2.23241i | ||||
\(580\) | 6.16904 | + | 2.97085i | 0.256155 | + | 0.123358i | ||||
\(581\) | −4.88476 | + | 40.6242i | −0.202654 | + | 1.68538i | ||||
\(582\) | 22.2526 | − | 10.7163i | 0.922401 | − | 0.444205i | ||||
\(583\) | 0.655467 | + | 8.74660i | 0.0271467 | + | 0.362247i | ||||
\(584\) | −74.7623 | − | 23.0611i | −3.09369 | − | 0.954276i | ||||
\(585\) | −6.81831 | + | 4.64864i | −0.281902 | + | 0.192198i | ||||
\(586\) | 24.6350 | + | 3.71313i | 1.01766 | + | 0.153388i | ||||
\(587\) | −43.1116 | −1.77941 | −0.889704 | − | 0.456538i | \(-0.849089\pi\) | ||||
−0.889704 | + | 0.456538i | \(0.849089\pi\) | |||||||
\(588\) | 28.3211 | + | 96.9319i | 1.16794 | + | 3.99740i | ||||
\(589\) | −14.8998 | −0.613937 | ||||||||
\(590\) | −1.64534 | − | 0.247995i | −0.0677376 | − | 0.0102098i | ||||
\(591\) | 59.6169 | − | 40.6461i | 2.45231 | − | 1.67196i | ||||
\(592\) | −22.1950 | − | 6.84626i | −0.912210 | − | 0.281379i | ||||
\(593\) | 0.204216 | + | 2.72508i | 0.00838616 | + | 0.111906i | 0.999826 | − | 0.0186596i | \(-0.00593987\pi\) |
−0.991440 | + | 0.130565i | \(0.958321\pi\) | |||||||
\(594\) | −147.120 | + | 70.8493i | −6.03641 | + | 2.90698i | ||||
\(595\) | 10.6205 | − | 1.11639i | 0.435398 | − | 0.0457674i | ||||
\(596\) | 85.9633 | + | 41.3977i | 3.52119 | + | 1.69572i | ||||
\(597\) | −21.8876 | + | 55.7686i | −0.895799 | + | 2.28246i | ||||
\(598\) | 0.842989 | − | 11.2489i | 0.0344724 | − | 0.460002i | ||||
\(599\) | −11.4927 | − | 29.2829i | −0.469579 | − | 1.19647i | −0.947981 | − | 0.318326i | \(-0.896879\pi\) |
0.478403 | − | 0.878141i | \(-0.341216\pi\) | |||||||
\(600\) | −73.2206 | + | 22.5856i | −2.98922 | + | 0.922052i | ||||
\(601\) | −23.2368 | + | 29.1380i | −0.947848 | + | 1.18856i | 0.0341012 | + | 0.999418i | \(0.489143\pi\) |
−0.981949 | + | 0.189145i | \(0.939428\pi\) | |||||||
\(602\) | 50.9835 | + | 27.4346i | 2.07793 | + | 1.11815i | ||||
\(603\) | −27.8283 | − | 34.8955i | −1.13325 | − | 1.42106i | ||||
\(604\) | 37.6212 | + | 25.6497i | 1.53078 | + | 1.04367i | ||||
\(605\) | 6.23253 | + | 5.78294i | 0.253388 | + | 0.235110i | ||||
\(606\) | 22.9545 | − | 39.7584i | 0.932464 | − | 1.61507i | ||||
\(607\) | −2.66221 | − | 4.61109i | −0.108056 | − | 0.187158i | 0.806927 | − | 0.590652i | \(-0.201129\pi\) |
−0.914983 | + | 0.403493i | \(0.867796\pi\) | |||||||
\(608\) | −6.71667 | + | 29.4276i | −0.272397 | + | 1.19345i | ||||
\(609\) | 4.94838 | − | 11.1146i | 0.200518 | − | 0.450386i | ||||
\(610\) | −4.32692 | − | 18.9575i | −0.175192 | − | 0.767565i | ||||
\(611\) | 8.02424 | − | 7.44541i | 0.324626 | − | 0.301209i | ||||
\(612\) | −122.891 | + | 18.5228i | −4.96758 | + | 0.748742i | ||||
\(613\) | 10.7046 | − | 1.61346i | 0.432354 | − | 0.0651669i | 0.0707399 | − | 0.997495i | \(-0.477464\pi\) |
0.361614 | + | 0.932328i | \(0.382226\pi\) | |||||||
\(614\) | 40.7923 | − | 37.8498i | 1.64624 | − | 1.52749i | ||||
\(615\) | 6.00558 | + | 26.3121i | 0.242168 | + | 1.06101i | ||||
\(616\) | −54.1273 | + | 45.8812i | −2.18085 | + | 1.84861i | ||||
\(617\) | −4.76328 | + | 20.8693i | −0.191762 | + | 0.840166i | 0.783900 | + | 0.620887i | \(0.213228\pi\) |
−0.975662 | + | 0.219279i | \(0.929630\pi\) | |||||||
\(618\) | 33.4304 | + | 57.9031i | 1.34477 | + | 2.32921i | ||||
\(619\) | 0.860017 | − | 1.48959i | 0.0345670 | − | 0.0598718i | −0.848224 | − | 0.529637i | \(-0.822328\pi\) |
0.882791 | + | 0.469765i | \(0.155661\pi\) | |||||||
\(620\) | −8.63898 | − | 8.01581i | −0.346950 | − | 0.321923i | ||||
\(621\) | 54.5270 | + | 37.1759i | 2.18809 | + | 1.49182i | ||||
\(622\) | 13.8869 | + | 17.4136i | 0.556815 | + | 0.698224i | ||||
\(623\) | 15.8705 | − | 6.78361i | 0.635839 | − | 0.271780i | ||||
\(624\) | 13.8224 | − | 17.3327i | 0.553337 | − | 0.693863i | ||||
\(625\) | 8.19220 | − | 2.52696i | 0.327688 | − | 0.101078i | ||||
\(626\) | −11.1776 | − | 28.4800i | −0.446745 | − | 1.13829i | ||||
\(627\) | 6.44478 | − | 85.9996i | 0.257380 | − | 3.43449i | ||||
\(628\) | −11.1109 | + | 28.3100i | −0.443372 | + | 1.12969i | ||||
\(629\) | 11.3560 | + | 5.46876i | 0.452794 | + | 0.218054i | ||||
\(630\) | −17.9059 | − | 52.4247i | −0.713387 | − | 2.08865i | ||||
\(631\) | −34.8470 | + | 16.7814i | −1.38724 | + | 0.668058i | −0.970529 | − | 0.240983i | \(-0.922530\pi\) |
−0.416707 | + | 0.909041i | \(0.636816\pi\) | |||||||
\(632\) | 0.0775616 | + | 1.03499i | 0.00308524 | + | 0.0411696i | ||||
\(633\) | 69.2889 | + | 21.3728i | 2.75399 | + | 0.849492i | ||||
\(634\) | 23.6347 | − | 16.1139i | 0.938653 | − | 0.639963i | ||||
\(635\) | −1.58160 | − | 0.238387i | −0.0627637 | − | 0.00946011i | ||||
\(636\) | 29.1865 | 1.15732 | ||||||||
\(637\) | 5.40702 | + | 4.44568i | 0.214234 | + | 0.176144i | ||||
\(638\) | 15.5615 | 0.616085 | ||||||||
\(639\) | 94.9481 | + | 14.3111i | 3.75609 | + | 0.566139i | ||||
\(640\) | 11.4610 | − | 7.81396i | 0.453035 | − | 0.308874i | ||||
\(641\) | 5.84262 | + | 1.80221i | 0.230770 | + | 0.0711831i | 0.407983 | − | 0.912989i | \(-0.366232\pi\) |
−0.177214 | + | 0.984172i | \(0.556708\pi\) | |||||||
\(642\) | −2.19887 | − | 29.3418i | −0.0867823 | − | 1.15803i | ||||
\(643\) | −45.1476 | + | 21.7419i | −1.78045 | + | 0.857418i | −0.823413 | + | 0.567443i | \(0.807933\pi\) |
−0.957034 | + | 0.289975i | \(0.906353\pi\) | |||||||
\(644\) | 49.1427 | + | 17.6088i | 1.93649 | + | 0.693884i | ||||
\(645\) | −27.5470 | − | 13.2659i | −1.08466 | − | 0.522346i | ||||
\(646\) | 20.9943 | − | 53.4925i | 0.826009 | − | 2.10464i | ||||
\(647\) | −2.42622 | + | 32.3756i | −0.0953845 | + | 1.27282i | 0.720031 | + | 0.693942i | \(0.244128\pi\) |
−0.815416 | + | 0.578876i | \(0.803492\pi\) | |||||||
\(648\) | 57.7507 | + | 147.146i | 2.26866 | + | 5.78046i | ||||
\(649\) | −2.49103 | + | 0.768380i | −0.0977814 | + | 0.0301616i | ||||
\(650\) | −6.02828 | + | 7.55923i | −0.236449 | + | 0.296497i | ||||
\(651\) | −13.7772 | + | 15.7696i | −0.539971 | + | 0.618061i | ||||
\(652\) | 6.05387 | + | 7.59131i | 0.237088 | + | 0.297299i | ||||
\(653\) | −34.3555 | − | 23.4232i | −1.34443 | − | 0.916620i | −0.344679 | − | 0.938721i | \(-0.612012\pi\) |
−0.999756 | + | 0.0221010i | \(0.992964\pi\) | |||||||
\(654\) | −80.5708 | − | 74.7588i | −3.15057 | − | 2.92330i | ||||
\(655\) | −8.96206 | + | 15.5227i | −0.350177 | + | 0.606524i | ||||
\(656\) | −25.9598 | − | 44.9636i | −1.01356 | − | 1.75553i | ||||
\(657\) | 21.2948 | − | 93.2986i | 0.830789 | − | 3.63993i | ||||
\(658\) | 33.8507 | + | 65.2232i | 1.31964 | + | 2.54267i | ||||
\(659\) | −7.41240 | − | 32.4758i | −0.288746 | − | 1.26508i | −0.886248 | − | 0.463211i | \(-0.846697\pi\) |
0.597502 | − | 0.801867i | \(-0.296160\pi\) | |||||||
\(660\) | 50.0027 | − | 46.3957i | 1.94635 | − | 1.80595i | ||||
\(661\) | 11.9685 | − | 1.80396i | 0.465520 | − | 0.0701659i | 0.0879056 | − | 0.996129i | \(-0.471983\pi\) |
0.377614 | + | 0.925963i | \(0.376745\pi\) | |||||||
\(662\) | −71.7107 | + | 10.8086i | −2.78712 | + | 0.420090i | ||||
\(663\) | −8.81884 | + | 8.18269i | −0.342495 | + | 0.317789i | ||||
\(664\) | 21.2882 | + | 93.2697i | 0.826142 | + | 3.61956i | ||||
\(665\) | 17.3250 | + | 3.41228i | 0.671835 | + | 0.132323i | ||||
\(666\) | 14.5496 | − | 63.7460i | 0.563786 | − | 2.47011i | ||||
\(667\) | −3.14460 | − | 5.44660i | −0.121759 | − | 0.210893i | ||||
\(668\) | 15.9100 | − | 27.5569i | 0.615576 | − | 1.06621i | ||||
\(669\) | −63.8404 | − | 59.2352i | −2.46821 | − | 2.29017i | ||||
\(670\) | 13.4869 | + | 9.19523i | 0.521045 | + | 0.355243i | ||||
\(671\) | −18.9941 | − | 23.8178i | −0.733258 | − | 0.919476i | ||||
\(672\) | 24.9349 | + | 34.3191i | 0.961886 | + | 1.32389i | ||||
\(673\) | −17.1941 | + | 21.5608i | −0.662785 | + | 0.831107i | −0.993643 | − | 0.112574i | \(-0.964090\pi\) |
0.330858 | + | 0.943681i | \(0.392662\pi\) | |||||||
\(674\) | 3.88587 | − | 1.19863i | 0.149678 | − | 0.0461696i | ||||
\(675\) | −20.6653 | − | 52.6544i | −0.795409 | − | 2.02667i | ||||
\(676\) | 0.331654 | − | 4.42562i | 0.0127559 | − | 0.170216i | ||||
\(677\) | −5.24606 | + | 13.3668i | −0.201623 | + | 0.513726i | −0.995544 | − | 0.0942938i | \(-0.969941\pi\) |
0.793922 | + | 0.608020i | \(0.208036\pi\) | |||||||
\(678\) | −79.1240 | − | 38.1041i | −3.03874 | − | 1.46338i | ||||
\(679\) | 5.56025 | + | 5.64393i | 0.213383 | + | 0.216594i | ||||
\(680\) | 22.4961 | − | 10.8335i | 0.862686 | − | 0.415448i | ||||
\(681\) | 0.893026 | + | 11.9166i | 0.0342208 | + | 0.456645i | ||||
\(682\) | −25.5938 | − | 7.89465i | −0.980039 | − | 0.302302i | ||||
\(683\) | −26.2274 | + | 17.8816i | −1.00357 | + | 0.684219i | −0.949321 | − | 0.314309i | \(-0.898227\pi\) |
−0.0542443 | + | 0.998528i | \(0.517275\pi\) | |||||||
\(684\) | −203.201 | − | 30.6277i | −7.76960 | − | 1.17108i | ||||
\(685\) | −18.1535 | −0.693608 | ||||||||
\(686\) | −38.4253 | + | 27.0507i | −1.46708 | + | 1.03280i | ||||
\(687\) | 67.1163 | 2.56065 | ||||||||
\(688\) | 58.1612 | + | 8.76639i | 2.21738 | + | 0.334216i | ||||
\(689\) | 1.67160 | − | 1.13968i | 0.0636827 | − | 0.0434182i | ||||
\(690\) | −38.2146 | − | 11.7876i | −1.45481 | − | 0.448748i | ||||
\(691\) | 1.39483 | + | 18.6127i | 0.0530617 | + | 0.708059i | 0.958775 | + | 0.284168i | \(0.0917172\pi\) |
−0.905713 | + | 0.423892i | \(0.860664\pi\) | |||||||
\(692\) | 32.5620 | − | 15.6811i | 1.23782 | − | 0.596104i | ||||
\(693\) | −60.9108 | − | 61.8275i | −2.31381 | − | 2.34863i | ||||
\(694\) | −27.8879 | − | 13.4301i | −1.05861 | − | 0.509800i | ||||
\(695\) | 3.33775 | − | 8.50444i | 0.126608 | − | 0.322592i | ||||
\(696\) | 2.12580 | − | 28.3668i | 0.0805782 | − | 1.07524i | ||||
\(697\) | 10.2933 | + | 26.2268i | 0.389885 | + | 0.993411i | ||||
\(698\) | −7.63809 | + | 2.35604i | −0.289106 | + | 0.0891774i | ||||
\(699\) | 41.5638 | − | 52.1193i | 1.57209 | − | 1.97133i | ||||
\(700\) | −26.2998 | − | 36.1977i | −0.994039 | − | 1.36814i | ||||
\(701\) | −14.2745 | − | 17.8996i | −0.539140 | − | 0.676060i | 0.435410 | − | 0.900232i | \(-0.356604\pi\) |
−0.974549 | + | 0.224172i | \(0.928032\pi\) | |||||||
\(702\) | 31.1199 | + | 21.2172i | 1.17454 | + | 0.800790i | ||||
\(703\) | 15.2777 | + | 14.1756i | 0.576208 | + | 0.534643i | ||||
\(704\) | 2.43802 | − | 4.22277i | 0.0918862 | − | 0.159152i | ||||
\(705\) | −19.4034 | − | 33.6077i | −0.730775 | − | 1.26574i | ||||
\(706\) | −14.5571 | + | 63.7790i | −0.547866 | + | 2.40036i | ||||
\(707\) | 14.4491 | + | 2.84585i | 0.543413 | + | 0.107029i | ||||
\(708\) | 1.93025 | + | 8.45696i | 0.0725431 | + | 0.317832i | ||||
\(709\) | −3.52535 | + | 3.27105i | −0.132397 | + | 0.122847i | −0.743592 | − | 0.668633i | \(-0.766880\pi\) |
0.611195 | + | 0.791480i | \(0.290689\pi\) | |||||||
\(710\) | −34.7245 | + | 5.23388i | −1.30319 | + | 0.196424i | ||||
\(711\) | −1.25533 | + | 0.189210i | −0.0470785 | + | 0.00709594i | ||||
\(712\) | 29.5821 | − | 27.4482i | 1.10864 | − | 1.02866i | ||||
\(713\) | 2.40872 | + | 10.5533i | 0.0902073 | + | 0.395224i | ||||
\(714\) | −37.2028 | − | 71.6820i | −1.39228 | − | 2.68263i | ||||
\(715\) | 1.05214 | − | 4.60972i | 0.0393478 | − | 0.172394i | ||||
\(716\) | 1.19346 | + | 2.06714i | 0.0446018 | + | 0.0772527i | ||||
\(717\) | −8.99822 | + | 15.5854i | −0.336045 | + | 0.582047i | ||||
\(718\) | −12.6785 | − | 11.7640i | −0.473159 | − | 0.439027i | ||||
\(719\) | −19.8139 | − | 13.5089i | −0.738935 | − | 0.503797i | 0.134394 | − | 0.990928i | \(-0.457091\pi\) |
−0.873329 | + | 0.487130i | \(0.838044\pi\) | |||||||
\(720\) | −35.0902 | − | 44.0018i | −1.30774 | − | 1.63985i | ||||
\(721\) | −14.1110 | + | 16.1517i | −0.525520 | + | 0.601520i | ||||
\(722\) | 29.1852 | − | 36.5971i | 1.08616 | − | 1.36200i | ||||
\(723\) | 14.4371 | − | 4.45326i | 0.536922 | − | 0.165619i | ||||
\(724\) | −9.43140 | − | 24.0308i | −0.350515 | − | 0.893098i | ||||
\(725\) | −0.402836 | + | 5.37548i | −0.0149610 | + | 0.199640i | ||||
\(726\) | 23.4909 | − | 59.8537i | 0.871827 | − | 2.22138i | ||||
\(727\) | 4.67037 | + | 2.24913i | 0.173214 | + | 0.0834156i | 0.518482 | − | 0.855089i | \(-0.326497\pi\) |
−0.345267 | + | 0.938504i | \(0.612212\pi\) | |||||||
\(728\) | 15.4076 | + | 5.52083i | 0.571042 | + | 0.204616i | ||||
\(729\) | −43.7789 | + | 21.0828i | −1.62144 | + | 0.780844i | ||||
\(730\) | 2.61546 | + | 34.9009i | 0.0968027 | + | 1.29174i | ||||
\(731\) | −30.4999 | − | 9.40799i | −1.12808 | − | 0.347967i | ||||
\(732\) | −83.7570 | + | 57.1046i | −3.09575 | + | 2.11065i | ||||
\(733\) | −4.72458 | − | 0.712116i | −0.174506 | − | 0.0263026i | 0.0612077 | − | 0.998125i | \(-0.480505\pi\) |
−0.235714 | + | 0.971822i | \(0.575743\pi\) | |||||||
\(734\) | 57.9285 | 2.13818 | ||||||||
\(735\) | 19.6311 | − | 15.1812i | 0.724105 | − | 0.559967i | ||||
\(736\) | 21.9289 | 0.808310 | ||||||||
\(737\) | 25.2877 | + | 3.81151i | 0.931486 | + | 0.140399i | ||||
\(738\) | 120.760 | − | 82.3331i | 4.44526 | − | 3.03072i | ||||
\(739\) | 33.3435 | + | 10.2851i | 1.22656 | + | 0.378344i | 0.839321 | − | 0.543636i | \(-0.182953\pi\) |
0.387239 | + | 0.921979i | \(0.373429\pi\) | |||||||
\(740\) | 1.23187 | + | 16.4381i | 0.0452843 | + | 0.604277i | ||||
\(741\) | −17.9223 | + | 8.63090i | −0.658391 | + | 0.317064i | ||||
\(742\) | 4.38986 | + | 12.8526i | 0.161157 | + | 0.471834i | ||||
\(743\) | 1.45199 | + | 0.699243i | 0.0532684 | + | 0.0256527i | 0.460328 | − | 0.887749i | \(-0.347732\pi\) |
−0.407060 | + | 0.913401i | \(0.633446\pi\) | |||||||
\(744\) | −17.8873 | + | 45.5762i | −0.655781 | + | 1.67090i | ||||
\(745\) | 1.75219 | − | 23.3814i | 0.0641953 | − | 0.856626i | ||||
\(746\) | −14.8147 | − | 37.7473i | −0.542406 | − | 1.38203i | ||||
\(747\) | −111.819 | + | 34.4916i | −4.09124 | + | 1.26198i | ||||
\(748\) | 44.3975 | − | 55.6728i | 1.62333 | − | 2.03560i | ||||
\(749\) | 8.67904 | − | 3.70972i | 0.317125 | − | 0.135550i | ||||
\(750\) | 49.4138 | + | 61.9629i | 1.80434 | + | 2.26257i | ||||
\(751\) | −18.4717 | − | 12.5938i | −0.674042 | − | 0.459554i | 0.177306 | − | 0.984156i | \(-0.443262\pi\) |
−0.851348 | + | 0.524602i | \(0.824214\pi\) | |||||||
\(752\) | 54.7255 | + | 50.7779i | 1.99563 | + | 1.85168i | ||||
\(753\) | 45.6634 | − | 79.0914i | 1.66407 | − | 2.88225i | ||||
\(754\) | −1.79470 | − | 3.10851i | −0.0653591 | − | 0.113205i | ||||
\(755\) | 2.48989 | − | 10.9089i | 0.0906164 | − | 0.397016i | ||||
\(756\) | −132.959 | + | 112.703i | −4.83567 | + | 4.09898i | ||||
\(757\) | −6.74990 | − | 29.5733i | −0.245329 | − | 1.07486i | −0.936086 | − | 0.351771i | \(-0.885580\pi\) |
0.690757 | − | 0.723087i | \(-0.257278\pi\) | |||||||
\(758\) | 18.6825 | − | 17.3348i | 0.678578 | − | 0.629629i | ||||
\(759\) | −61.9539 | + | 9.33804i | −2.24878 | + | 0.338949i | ||||
\(760\) | 40.8249 | − | 6.15337i | 1.48088 | − | 0.223206i | ||||
\(761\) | −18.1483 | + | 16.8392i | −0.657875 | + | 0.610419i | −0.936788 | − | 0.349897i | \(-0.886216\pi\) |
0.278913 | + | 0.960316i | \(0.410026\pi\) | |||||||
\(762\) | 2.69163 | + | 11.7928i | 0.0975074 | + | 0.427208i | ||||
\(763\) | 14.3401 | − | 32.2093i | 0.519145 | − | 1.16605i | ||||
\(764\) | −2.20899 | + | 9.67821i | −0.0799184 | + | 0.350145i | ||||
\(765\) | 15.2704 | + | 26.4491i | 0.552103 | + | 0.956271i | ||||
\(766\) | −32.5819 | + | 56.4336i | −1.17723 | + | 2.03903i | ||||
\(767\) | 0.440778 | + | 0.408982i | 0.0159156 | + | 0.0147675i | ||||
\(768\) | −80.6333 | − | 54.9748i | −2.90960 | − | 1.98373i | ||||
\(769\) | 16.2409 | + | 20.3654i | 0.585662 | + | 0.734397i | 0.983067 | − | 0.183246i | \(-0.0586606\pi\) |
−0.397405 | + | 0.917643i | \(0.630089\pi\) | |||||||
\(770\) | 27.9516 | + | 15.0410i | 1.00731 | + | 0.542039i | ||||
\(771\) | 1.98371 | − | 2.48749i | 0.0714414 | − | 0.0895847i | ||||
\(772\) | 75.2851 | − | 23.2224i | 2.70957 | − | 0.835791i | ||||
\(773\) | 8.32846 | + | 21.2206i | 0.299554 | + | 0.763251i | 0.998828 | + | 0.0483973i | \(0.0154114\pi\) |
−0.699274 | + | 0.714853i | \(0.746493\pi\) | |||||||
\(774\) | −12.3736 | + | 165.114i | −0.444760 | + | 5.93490i | ||||
\(775\) | 3.38963 | − | 8.63663i | 0.121759 | − | 0.310237i | ||||
\(776\) | 16.6899 | + | 8.03741i | 0.599131 | + | 0.288526i | ||||
\(777\) | 29.1297 | − | 3.06199i | 1.04502 | − | 0.109848i | ||||
\(778\) | −44.1828 | + | 21.2773i | −1.58403 | + | 0.762828i | ||||
\(779\) | 3.48142 | + | 46.4563i | 0.124735 | + | 1.66447i | ||||
\(780\) | −15.0346 | − | 4.63757i | −0.538326 | − | 0.166052i | ||||
\(781\) | −45.4570 | + | 30.9921i | −1.62658 | + | 1.10898i | ||||
\(782\) | −41.2818 | − | 6.22223i | −1.47623 | − | 0.222506i | ||||
\(783\) | 20.9991 | 0.750447 | ||||||||
\(784\) | −27.4792 | + | 39.0387i | −0.981398 | + | 1.39424i | ||||
\(785\) | 7.47364 | 0.266746 | ||||||||
\(786\) | 134.039 | + | 20.2031i | 4.78100 | + | 0.720620i | ||||
\(787\) | −29.5616 | + | 20.1548i | −1.05376 | + | 0.718440i | −0.960804 | − | 0.277230i | \(-0.910584\pi\) |
−0.0929549 | + | 0.995670i | \(0.529631\pi\) | |||||||
\(788\) | 94.1349 | + | 29.0368i | 3.35342 | + | 1.03439i | ||||
\(789\) | 1.75950 | + | 23.4789i | 0.0626399 | + | 0.835872i | ||||
\(790\) | 0.418307 | − | 0.201446i | 0.0148827 | − | 0.00716713i | ||||
\(791\) | 3.36315 | − | 27.9697i | 0.119580 | − | 0.994487i | ||||
\(792\) | −182.832 | − | 88.0473i | −6.49666 | − | 3.12863i | ||||
\(793\) | −2.56719 | + | 6.54108i | −0.0911635 | + | 0.232281i | ||||
\(794\) | −1.02438 | + | 13.6694i | −0.0363539 | + | 0.485109i | ||||
\(795\) | −2.62038 | − | 6.67661i | −0.0929352 | − | 0.236795i | ||||
\(796\) | −78.1603 | + | 24.1093i | −2.77032 | + | 0.854530i | ||||
\(797\) | −13.0631 | + | 16.3806i | −0.462717 | + | 0.580229i | −0.957371 | − | 0.288861i | \(-0.906723\pi\) |
0.494654 | + | 0.869090i | \(0.335295\pi\) | |||||||
\(798\) | −23.8459 | − | 131.393i | −0.844134 | − | 4.65125i | ||||
\(799\) | −25.2586 | − | 31.6732i | −0.893583 | − | 1.12052i | ||||
\(800\) | −15.5296 | − | 10.5879i | −0.549054 | − | 0.374339i | ||||
\(801\) | 36.1837 | + | 33.5736i | 1.27849 | + | 1.18626i | ||||
\(802\) | 15.5610 | − | 26.9524i | 0.549477 | − | 0.951722i | ||||
\(803\) | 27.4160 | + | 47.4859i | 0.967489 | + | 1.67574i | ||||
\(804\) | 18.9359 | − | 82.9636i | 0.667818 | − | 2.92590i | ||||
\(805\) | −0.383917 | − | 12.8226i | −0.0135313 | − | 0.451938i | ||||
\(806\) | 1.37472 | + | 6.02302i | 0.0484223 | + | 0.212152i | ||||
\(807\) | 11.8707 | − | 11.0144i | 0.417868 | − | 0.387725i | ||||
\(808\) | 34.0480 | − | 5.13191i | 1.19781 | − | 0.180540i | ||||
\(809\) | 7.65317 | − | 1.15353i | 0.269071 | − | 0.0405560i | −0.0131207 | − | 0.999914i | \(-0.504177\pi\) |
0.282192 | + | 0.959358i | \(0.408938\pi\) | |||||||
\(810\) | 51.8356 | − | 48.0964i | 1.82132 | − | 1.68993i | ||||
\(811\) | −7.49099 | − | 32.8202i | −0.263044 | − | 1.15247i | −0.917929 | − | 0.396744i | \(-0.870140\pi\) |
0.654885 | − | 0.755728i | \(-0.272717\pi\) | |||||||
\(812\) | 16.0762 | − | 4.17918i | 0.564165 | − | 0.146661i | ||||
\(813\) | −19.1356 | + | 83.8385i | −0.671114 | + | 2.94034i | ||||
\(814\) | 18.7319 | + | 32.4446i | 0.656553 | + | 1.13718i | ||||
\(815\) | 1.19304 | − | 2.06641i | 0.0417905 | − | 0.0723832i | ||||
\(816\) | −60.1447 | − | 55.8061i | −2.10549 | − | 1.95361i | ||||
\(817\) | −43.6061 | − | 29.7301i | −1.52558 | − | 1.04013i | ||||
\(818\) | −6.99930 | − | 8.77684i | −0.244725 | − | 0.306875i | ||||
\(819\) | −5.32563 | + | 19.2979i | −0.186093 | + | 0.674322i | ||||
\(820\) | −22.9740 | + | 28.8085i | −0.802286 | + | 1.00604i | ||||
\(821\) | −42.8043 | + | 13.2034i | −1.49388 | + | 0.460801i | −0.930777 | − | 0.365586i | \(-0.880869\pi\) |
−0.563102 | + | 0.826387i | \(0.690392\pi\) | |||||||
\(822\) | 50.1567 | + | 127.797i | 1.74941 | + | 4.45744i | ||||
\(823\) | 2.31246 | − | 30.8577i | 0.0806074 | − | 1.07563i | −0.799440 | − | 0.600745i | \(-0.794871\pi\) |
0.880048 | − | 0.474885i | \(-0.157510\pi\) | |||||||
\(824\) | −18.3207 | + | 46.6803i | −0.638231 | + | 1.62619i | ||||
\(825\) | 48.3832 | + | 23.3001i | 1.68449 | + | 0.811206i | ||||
\(826\) | −3.43379 | + | 2.12199i | −0.119477 | + | 0.0738334i | ||||
\(827\) | −4.72514 | + | 2.27551i | −0.164309 | + | 0.0791271i | −0.514231 | − | 0.857652i | \(-0.671922\pi\) |
0.349922 | + | 0.936779i | \(0.386208\pi\) | |||||||
\(828\) | 11.1566 | + | 148.875i | 0.387720 | + | 5.17377i | ||||
\(829\) | 47.6783 | + | 14.7068i | 1.65594 | + | 0.510788i | 0.975122 | − | 0.221669i | \(-0.0711503\pi\) |
0.680813 | + | 0.732457i | \(0.261627\pi\) | |||||||
\(830\) | 35.3596 | − | 24.1078i | 1.22735 | − | 0.836793i | ||||
\(831\) | 48.5150 | + | 7.31246i | 1.68297 | + | 0.253667i | ||||
\(832\) | −1.12470 | −0.0389920 | ||||||||
\(833\) | 17.9025 | − | 18.7255i | 0.620286 | − | 0.648799i | ||||
\(834\) | −69.0916 | −2.39245 | ||||||||
\(835\) | −7.73223 | − | 1.16545i | −0.267585 | − | 0.0403319i | ||||
\(836\) | 97.2840 | − | 66.3271i | 3.36464 | − | 2.29397i | ||||
\(837\) | −34.5370 | − | 10.6533i | −1.19378 | − | 0.368231i | ||||
\(838\) | 1.69264 | + | 22.5867i | 0.0584713 | + | 0.780246i | ||||
\(839\) | 10.7423 | − | 5.17323i | 0.370866 | − | 0.178600i | −0.239162 | − | 0.970980i | \(-0.576873\pi\) |
0.610028 | + | 0.792380i | \(0.291158\pi\) | |||||||
\(840\) | 31.2364 | − | 48.8979i | 1.07776 | − | 1.68714i | ||||
\(841\) | 24.3251 | + | 11.7143i | 0.838796 | + | 0.403943i | ||||
\(842\) | −16.6692 | + | 42.4724i | −0.574459 | + | 1.46370i | ||||
\(843\) | −3.55231 | + | 47.4023i | −0.122348 | + | 1.63262i | ||||
\(844\) | 36.1677 | + | 92.1539i | 1.24494 | + | 3.17207i | ||||
\(845\) | −1.04216 | + | 0.321465i | −0.0358515 | + | 0.0110587i | ||||
\(846\) | −131.031 | + | 164.307i | −4.50493 | + | 5.64900i | ||||
\(847\) | 20.6048 | + | 0.925123i | 0.707990 | + | 0.0317876i | ||||
\(848\) | 8.60283 | + | 10.7876i | 0.295422 | + | 0.370448i | ||||
\(849\) | 22.8528 | + | 15.5808i | 0.784305 | + | 0.534730i | ||||
\(850\) | 26.2307 | + | 24.3385i | 0.899704 | + | 0.834803i | ||||
\(851\) | 7.57052 | − | 13.1125i | 0.259514 | − | 0.449492i | ||||
\(852\) | 91.5361 | + | 158.545i | 3.13598 | + | 5.43167i | ||||
\(853\) | −1.87253 | + | 8.20409i | −0.0641142 | + | 0.280903i | −0.996815 | − | 0.0797484i | \(-0.974588\pi\) |
0.932701 | + | 0.360651i | \(0.117445\pi\) | |||||||
\(854\) | −37.7442 | − | 28.2944i | −1.29158 | − | 0.968213i | ||||
\(855\) | 11.2372 | + | 49.2334i | 0.384304 | + | 1.68375i | ||||
\(856\) | 16.1774 | − | 15.0105i | 0.552933 | − | 0.513047i | ||||
\(857\) | −7.70699 | + | 1.16164i | −0.263266 | + | 0.0396809i | −0.279349 | − | 0.960190i | \(-0.590119\pi\) |
0.0160829 | + | 0.999871i | \(0.494880\pi\) | |||||||
\(858\) | −35.3586 | + | 5.32945i | −1.20712 | + | 0.181944i | ||||
\(859\) | 4.53173 | − | 4.20483i | 0.154621 | − | 0.143467i | −0.599069 | − | 0.800697i | \(-0.704463\pi\) |
0.753690 | + | 0.657230i | \(0.228272\pi\) | |||||||
\(860\) | −9.28878 | − | 40.6968i | −0.316745 | − | 1.38775i | ||||
\(861\) | 52.3874 | + | 39.2714i | 1.78536 | + | 1.33836i | ||||
\(862\) | 1.11630 | − | 4.89083i | 0.0380214 | − | 0.166582i | ||||
\(863\) | 23.5889 | + | 40.8572i | 0.802977 | + | 1.39080i | 0.917648 | + | 0.397393i | \(0.130085\pi\) |
−0.114671 | + | 0.993403i | \(0.536582\pi\) | |||||||
\(864\) | −36.6094 | + | 63.4093i | −1.24548 | + | 2.15723i | ||||
\(865\) | −6.51057 | − | 6.04093i | −0.221366 | − | 0.205398i | ||||
\(866\) | −26.9649 | − | 18.3844i | −0.916305 | − | 0.624726i | ||||
\(867\) | −6.69465 | − | 8.39482i | −0.227362 | − | 0.285103i | ||||
\(868\) | −28.5606 | − | 1.28232i | −0.969410 | − | 0.0435249i | ||||
\(869\) | 0.453519 | − | 0.568695i | 0.0153846 | − | 0.0192917i | ||||
\(870\) | −12.1598 | + | 3.75079i | −0.412254 | + | 0.127164i | ||||
\(871\) | −2.15505 | − | 5.49097i | −0.0730210 | − | 0.186054i | ||||
\(872\) | 6.16042 | − | 82.2051i | 0.208618 | − | 2.78381i | ||||
\(873\) | −8.27799 | + | 21.0920i | −0.280168 | + | 0.713855i | ||||
\(874\) | −62.1945 | − | 29.9513i | −2.10376 | − | 1.01312i | ||||
\(875\) | −13.6862 | + | 21.4246i | −0.462677 | + | 0.724282i | ||||
\(876\) | 164.388 | − | 79.1652i | 5.55416 | − | 2.67474i | ||||
\(877\) | −0.467592 | − | 6.23958i | −0.0157895 | − | 0.210696i | −0.999518 | − | 0.0310360i | \(-0.990119\pi\) |
0.983729 | − | 0.179660i | \(-0.0574997\pi\) | |||||||
\(878\) | −0.697944 | − | 0.215287i | −0.0235545 | − | 0.00726559i | ||||
\(879\) | −26.3710 | + | 17.9794i | −0.889471 | + | 0.606431i | ||||
\(880\) | 31.8867 | + | 4.80615i | 1.07490 | + | 0.162015i | ||||
\(881\) | 44.1778 | 1.48839 | 0.744193 | − | 0.667964i | \(-0.232834\pi\) | ||||
0.744193 | + | 0.667964i | \(0.232834\pi\) | |||||||
\(882\) | −115.370 | − | 68.9268i | −3.88471 | − | 2.32089i | ||||
\(883\) | 46.7319 | 1.57266 | 0.786328 | − | 0.617810i | \(-0.211980\pi\) | ||||
0.786328 | + | 0.617810i | \(0.211980\pi\) | |||||||
\(884\) | −16.2413 | − | 2.44799i | −0.546255 | − | 0.0823347i | ||||
\(885\) | 1.76129 | − | 1.20082i | 0.0592050 | − | 0.0403653i | ||||
\(886\) | 80.4997 | + | 24.8309i | 2.70444 | + | 0.834210i | ||||
\(887\) | 2.14205 | + | 28.5837i | 0.0719231 | + | 0.959747i | 0.910111 | + | 0.414365i | \(0.135996\pi\) |
−0.838188 | + | 0.545382i | \(0.816385\pi\) | |||||||
\(888\) | 61.7017 | − | 29.7140i | 2.07057 | − | 0.997136i | ||||
\(889\) | −3.30075 | + | 2.03978i | −0.110704 | + | 0.0684120i | ||||
\(890\) | −16.2644 | − | 7.83253i | −0.545184 | − | 0.262547i | ||||
\(891\) | 40.4736 | − | 103.125i | 1.35592 | − | 3.45482i | ||||
\(892\) | 8.88545 | − | 118.568i | 0.297507 | − | 3.96995i | ||||
\(893\) | −24.4728 | − | 62.3557i | −0.818951 | − | 2.08665i | ||||
\(894\) | −169.442 | + | 52.2658i | −5.66698 | + | 1.74803i | ||||
\(895\) | 0.365722 | − | 0.458601i | 0.0122247 | − | 0.0153293i | ||||
\(896\) | 8.95192 | − | 32.4380i | 0.299063 | − | 1.08368i | ||||
\(897\) | 9.01044 | + | 11.2987i | 0.300850 | + | 0.377254i | ||||
\(898\) | −61.4838 | − | 41.9189i | −2.05174 | − | 1.39885i | ||||
\(899\) | 2.52491 | + | 2.34277i | 0.0842104 | + | 0.0781358i | ||||
\(900\) | 63.9803 | − | 110.817i | 2.13268 | − | 3.69391i | ||||
\(901\) | −3.74374 | − | 6.48435i | −0.124722 | − | 0.216025i | ||||
\(902\) | −18.6347 | + | 81.6438i | −0.620466 | + | 2.71844i | ||||
\(903\) | −71.7862 | + | 18.6616i | −2.38890 | + | 0.621019i | ||||
\(904\) | −14.6569 | − | 64.2159i | −0.487480 | − | 2.13579i | ||||
\(905\) | −4.65045 | + | 4.31499i | −0.154586 | + | 0.143435i | ||||
\(906\) | −83.6762 | + | 12.6122i | −2.77996 | + | 0.419011i | ||||
\(907\) | −30.4003 | + | 4.58210i | −1.00942 | + | 0.152146i | −0.632878 | − | 0.774252i | \(-0.718126\pi\) |
−0.376546 | + | 0.926398i | \(0.622888\pi\) | |||||||
\(908\) | −11.9599 | + | 11.0971i | −0.396902 | + | 0.368271i | ||||
\(909\) | 9.37183 | + | 41.0607i | 0.310844 | + | 1.36190i | ||||
\(910\) | −0.219111 | − | 7.31818i | −0.00726344 | − | 0.242595i | ||||
\(911\) | 10.1879 | − | 44.6362i | 0.337541 | − | 1.47886i | −0.466624 | − | 0.884456i | \(-0.654530\pi\) |
0.804165 | − | 0.594406i | \(-0.202613\pi\) | |||||||
\(912\) | −67.8327 | − | 117.490i | −2.24616 | − | 3.89047i | ||||
\(913\) | 33.5238 | − | 58.0649i | 1.10947 | − | 1.92167i | ||||
\(914\) | 42.6727 | + | 39.5945i | 1.41149 | + | 1.30967i | ||||
\(915\) | 20.5828 | + | 14.0331i | 0.680445 | + | 0.463920i | ||||
\(916\) | 57.1322 | + | 71.6415i | 1.88770 | + | 2.36710i | ||||
\(917\) | 7.76459 | + | 42.7836i | 0.256409 | + | 1.41284i | ||||
\(918\) | 86.9104 | − | 108.982i | 2.86847 | − | 3.59695i | ||||
\(919\) | −2.79761 | + | 0.862949i | −0.0922847 | + | 0.0284661i | −0.340554 | − | 0.940225i | \(-0.610615\pi\) |
0.248269 | + | 0.968691i | \(0.420138\pi\) | |||||||
\(920\) | −10.9581 | − | 27.9208i | −0.361278 | − | 0.920522i | ||||
\(921\) | −5.32758 | + | 71.0916i | −0.175550 | + | 2.34255i | ||||
\(922\) | 18.5971 | − | 47.3847i | 0.612464 | − | 1.56053i | ||||
\(923\) | 11.4334 | + | 5.50604i | 0.376335 | + | 0.181233i | ||||
\(924\) | 19.7550 | − | 164.293i | 0.649891 | − | 5.40483i | ||||
\(925\) | −11.6924 | + | 5.63076i | −0.384444 | + | 0.185138i | ||||
\(926\) | 2.21353 | + | 29.5375i | 0.0727411 | + | 0.970663i | ||||
\(927\) | −58.6125 | − | 18.0796i | −1.92509 | − | 0.593811i | ||||
\(928\) | 5.76524 | − | 3.93067i | 0.189253 | − | 0.129031i | ||||
\(929\) | 0.897846 | + | 0.135328i | 0.0294574 | + | 0.00443998i | 0.163754 | − | 0.986501i | \(-0.447640\pi\) |
−0.134297 | + | 0.990941i | \(0.542878\pi\) | |||||||
\(930\) | 21.9019 | 0.718191 | ||||||||
\(931\) | 37.4133 | − | 20.8618i | 1.22617 | − | 0.683717i | ||||
\(932\) | 91.0141 | 2.98127 | ||||||||
\(933\) | −28.2156 | − | 4.25281i | −0.923737 | − | 0.139231i | ||||
\(934\) | 26.7469 | − | 18.2357i | 0.875186 | − | 0.596692i | ||||
\(935\) | −16.7215 | − | 5.15791i | −0.546852 | − | 0.168682i | ||||
\(936\) | 3.49791 | + | 46.6764i | 0.114333 | + | 1.52567i | ||||
\(937\) | 36.1905 | − | 17.4284i | 1.18229 | − | 0.569362i | 0.263714 | − | 0.964601i | \(-0.415052\pi\) |
0.918579 | + | 0.395239i | \(0.129338\pi\) | |||||||
\(938\) | 39.3820 | − | 4.13968i | 1.28587 | − | 0.135165i | ||||
\(939\) | 35.3141 | + | 17.0064i | 1.15243 | + | 0.554983i | ||||
\(940\) | 19.3566 | − | 49.3199i | 0.631344 | − | 1.60864i | ||||
\(941\) | −0.249829 | + | 3.33374i | −0.00814419 | + | 0.108677i | −0.999794 | − | 0.0202807i | \(-0.993544\pi\) |
0.991650 | + | 0.128957i | \(0.0411631\pi\) | |||||||
\(942\) | −20.6491 | − | 52.6131i | −0.672784 | − | 1.71423i | ||||
\(943\) | 32.3414 | − | 9.97599i | 1.05318 | − | 0.324863i | ||||
\(944\) | −2.55682 | + | 3.20615i | −0.0832174 | + | 0.104351i | ||||
\(945\) | 37.7187 | + | 20.2967i | 1.22699 | + | 0.660252i | ||||
\(946\) | −59.1508 | − | 74.1728i | −1.92316 | − | 2.41157i | ||||
\(947\) | −29.5479 | − | 20.1454i | −0.960179 | − | 0.654639i | −0.0216231 | − | 0.999766i | \(-0.506883\pi\) |
−0.938556 | + | 0.345127i | \(0.887836\pi\) | |||||||
\(948\) | −1.77430 | − | 1.64631i | −0.0576267 | − | 0.0534698i | ||||
\(949\) | 6.32374 | − | 10.9530i | 0.205277 | − | 0.355551i | ||||
\(950\) | 29.5836 | + | 51.2402i | 0.959818 | + | 1.66245i | ||||
\(951\) | −8.15465 | + | 35.7279i | −0.264433 | + | 1.15856i | ||||
\(952\) | 24.6363 | − | 55.3358i | 0.798467 | − | 1.79344i | ||||
\(953\) | −8.26222 | − | 36.1992i | −0.267640 | − | 1.17261i | −0.912751 | − | 0.408517i | \(-0.866046\pi\) |
0.645111 | − | 0.764089i | \(-0.276811\pi\) | |||||||
\(954\) | −28.4731 | + | 26.4192i | −0.921852 | + | 0.855354i | ||||
\(955\) | 2.41228 | − | 0.363592i | 0.0780595 | − | 0.0117656i | ||||
\(956\) | −24.2958 | + | 3.66201i | −0.785783 | + | 0.118438i | ||||
\(957\) | −14.6142 | + | 13.5600i | −0.472411 | + | 0.438334i | ||||
\(958\) | −2.09717 | − | 9.18830i | −0.0677565 | − | 0.296860i | ||||
\(959\) | −33.5938 | + | 28.4759i | −1.08480 | + | 0.919535i | ||||
\(960\) | −0.887252 | + | 3.88731i | −0.0286359 | + | 0.125462i | ||||
\(961\) | 12.5358 | + | 21.7127i | 0.404382 | + | 0.700410i | ||||
\(962\) | 4.32068 | − | 7.48364i | 0.139304 | − | 0.241282i | ||||
\(963\) | 19.7876 | + | 18.3602i | 0.637646 | + | 0.591649i | ||||
\(964\) | 17.0430 | + | 11.6197i | 0.548917 | + | 0.374246i | ||||
\(965\) | −12.0714 | − | 15.1370i | −0.388592 | − | 0.487279i | ||||
\(966\) | −89.2082 | + | 38.1307i | −2.87023 | + | 1.22683i | ||||
\(967\) | −32.3035 | + | 40.5073i | −1.03881 | + | 1.30263i | −0.0869096 | + | 0.996216i | \(0.527699\pi\) |
−0.951900 | + | 0.306410i | \(0.900872\pi\) | |||||||
\(968\) | 46.0825 | − | 14.2146i | 1.48115 | − | 0.456873i | ||||
\(969\) | 26.8962 | + | 68.5305i | 0.864031 | + | 2.20152i | ||||
\(970\) | 0.619259 | − | 8.26344i | 0.0198832 | − | 0.265323i | ||||
\(971\) | 11.2174 | − | 28.5816i | 0.359985 | − | 0.917226i | −0.630069 | − | 0.776539i | \(-0.716974\pi\) |
0.990054 | − | 0.140687i | \(-0.0449313\pi\) | |||||||
\(972\) | −154.068 | − | 74.1951i | −4.94172 | − | 2.37981i | ||||
\(973\) | −7.16359 | − | 20.9735i | −0.229654 | − | 0.672380i | ||||
\(974\) | 45.9133 | − | 22.1107i | 1.47116 | − | 0.708472i | ||||
\(975\) | −0.925658 | − | 12.3520i | −0.0296448 | − | 0.395582i | ||||
\(976\) | −45.7940 | − | 14.1256i | −1.46583 | − | 0.452149i | ||||
\(977\) | −1.83089 | + | 1.24828i | −0.0585753 | + | 0.0399359i | −0.592254 | − | 0.805752i | \(-0.701762\pi\) |
0.533678 | + | 0.845688i | \(0.320809\pi\) | |||||||
\(978\) | −17.8434 | − | 2.68947i | −0.570571 | − | 0.0859997i | ||||
\(979\) | −28.2820 | −0.903895 | ||||||||
\(980\) | 32.9156 | + | 8.03183i | 1.05145 | + | 0.256567i | ||||
\(981\) | 100.832 | 3.21932 | ||||||||
\(982\) | −1.66620 | − | 0.251139i | −0.0531705 | − | 0.00801417i | ||||
\(983\) | −19.1556 | + | 13.0601i | −0.610970 | + | 0.416552i | −0.828888 | − | 0.559415i | \(-0.811026\pi\) |
0.217918 | + | 0.975967i | \(0.430074\pi\) | |||||||
\(984\) | 146.282 | + | 45.1219i | 4.66329 | + | 1.43843i | ||||
\(985\) | −1.80911 | − | 24.1409i | −0.0576430 | − | 0.769193i | ||||
\(986\) | −11.9685 | + | 5.76375i | −0.381156 | + | 0.183555i | ||||
\(987\) | −88.6247 | − | 31.7560i | −2.82095 | − | 1.01080i | ||||
\(988\) | −24.4690 | − | 11.7836i | −0.778462 | − | 0.374887i | ||||
\(989\) | −14.0079 | + | 35.6916i | −0.445426 | + | 1.13493i | ||||
\(990\) | −6.78379 | + | 90.5234i | −0.215603 | + | 2.87702i | ||||
\(991\) | 16.4230 | + | 41.8451i | 0.521694 | + | 1.32925i | 0.912611 | + | 0.408828i | \(0.134062\pi\) |
−0.390918 | + | 0.920426i | \(0.627842\pi\) | |||||||
\(992\) | −11.4761 | + | 3.53992i | −0.364368 | + | 0.112393i | ||||
\(993\) | 57.9271 | − | 72.6383i | 1.83826 | − | 2.30511i | ||||
\(994\) | −56.0494 | + | 64.1552i | −1.77778 | + | 2.03488i | ||||
\(995\) | 12.5324 | + | 15.7151i | 0.397304 | + | 0.498203i | ||||
\(996\) | −184.338 | − | 125.680i | −5.84098 | − | 3.98231i | ||||
\(997\) | 6.77010 | + | 6.28173i | 0.214411 | + | 0.198944i | 0.780065 | − | 0.625698i | \(-0.215186\pi\) |
−0.565654 | + | 0.824643i | \(0.691376\pi\) | |||||||
\(998\) | −49.7039 | + | 86.0897i | −1.57335 | + | 2.72512i | ||||
\(999\) | 25.2774 | + | 43.7817i | 0.799740 | + | 1.38519i |
(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 | 637.2.bl.b.235.4 | ✓ | 348 | |
49.44 | even | 21 | inner | 637.2.bl.b.534.4 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.b.235.4 | ✓ | 348 | 1.1 | even | 1 | trivial | |
637.2.bl.b.534.4 | yes | 348 | 49.44 | even | 21 | inner |