Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(79,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.y (of order \(10\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(72\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 79.19 | ||
Character | \(\chi\) | \(=\) | 572.79 |
Dual form | 572.2.y.a.391.19 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.960387 | − | 1.03810i | −0.679096 | − | 0.734049i | ||||
\(3\) | 0.322447 | + | 0.443810i | 0.186165 | + | 0.256234i | 0.891891 | − | 0.452251i | \(-0.149379\pi\) |
−0.705726 | + | 0.708485i | \(0.749379\pi\) | |||||||
\(4\) | −0.155313 | + | 1.99396i | −0.0776563 | + | 0.996980i | ||||
\(5\) | 1.31077 | + | 4.03414i | 0.586196 | + | 1.80412i | 0.594415 | + | 0.804158i | \(0.297384\pi\) |
−0.00821977 | + | 0.999966i | \(0.502616\pi\) | |||||||
\(6\) | 0.151046 | − | 0.760963i | 0.0616644 | − | 0.310662i | ||||
\(7\) | 2.94501 | + | 2.13968i | 1.11311 | + | 0.808721i | 0.983150 | − | 0.182798i | \(-0.0585155\pi\) |
0.129959 | + | 0.991519i | \(0.458515\pi\) | |||||||
\(8\) | 2.21910 | − | 1.75374i | 0.784569 | − | 0.620042i | ||||
\(9\) | 0.834056 | − | 2.56696i | 0.278019 | − | 0.855653i | ||||
\(10\) | 2.92901 | − | 5.23506i | 0.926233 | − | 1.65547i | ||||
\(11\) | −2.21047 | + | 2.47262i | −0.666481 | + | 0.745522i | ||||
\(12\) | −0.935020 | + | 0.574017i | −0.269917 | + | 0.165704i | ||||
\(13\) | −0.951057 | − | 0.309017i | −0.263776 | − | 0.0857059i | ||||
\(14\) | −0.607149 | − | 5.11214i | −0.162267 | − | 1.36628i | ||||
\(15\) | −1.36774 | + | 1.88253i | −0.353149 | + | 0.486068i | ||||
\(16\) | −3.95176 | − | 0.619374i | −0.987939 | − | 0.154844i | ||||
\(17\) | 5.40322 | − | 1.75561i | 1.31047 | − | 0.425799i | 0.431260 | − | 0.902228i | \(-0.358069\pi\) |
0.879213 | + | 0.476429i | \(0.158069\pi\) | |||||||
\(18\) | −3.46578 | + | 1.59944i | −0.816893 | + | 0.376992i | ||||
\(19\) | −2.70816 | + | 1.96759i | −0.621294 | + | 0.451397i | −0.853373 | − | 0.521300i | \(-0.825447\pi\) |
0.232079 | + | 0.972697i | \(0.425447\pi\) | |||||||
\(20\) | −8.24750 | + | 1.98708i | −1.84420 | + | 0.444324i | ||||
\(21\) | 1.99696i | 0.435772i | ||||||||
\(22\) | 4.68973 | − | 0.0799803i | 0.999855 | − | 0.0170519i | ||||
\(23\) | − | 1.22734i | − | 0.255918i | −0.991779 | − | 0.127959i | \(-0.959157\pi\) | ||
0.991779 | − | 0.127959i | \(-0.0408425\pi\) | |||||||
\(24\) | 1.49387 | + | 0.419368i | 0.304935 | + | 0.0856031i | ||||
\(25\) | −10.5111 | + | 7.63677i | −2.10222 | + | 1.52735i | ||||
\(26\) | 0.592591 | + | 1.28407i | 0.116217 | + | 0.251827i | ||||
\(27\) | 2.97337 | − | 0.966107i | 0.572226 | − | 0.185927i | ||||
\(28\) | −4.72383 | + | 5.53992i | −0.892719 | + | 1.04695i | ||||
\(29\) | 1.69654 | − | 2.33509i | 0.315040 | − | 0.433616i | −0.621905 | − | 0.783093i | \(-0.713641\pi\) |
0.936945 | + | 0.349477i | \(0.113641\pi\) | |||||||
\(30\) | 3.26782 | − | 0.388106i | 0.596620 | − | 0.0708582i | ||||
\(31\) | −7.41294 | − | 2.40861i | −1.33140 | − | 0.432599i | −0.445007 | − | 0.895527i | \(-0.646799\pi\) |
−0.886396 | + | 0.462928i | \(0.846799\pi\) | |||||||
\(32\) | 3.15224 | + | 4.69717i | 0.557243 | + | 0.830350i | ||||
\(33\) | −1.81013 | − | 0.183739i | −0.315103 | − | 0.0319849i | ||||
\(34\) | −7.01169 | − | 3.92303i | −1.20249 | − | 0.672794i | ||||
\(35\) | −4.77152 | + | 14.6852i | −0.806534 | + | 2.48226i | ||||
\(36\) | 4.98888 | + | 2.06175i | 0.831479 | + | 0.343626i | ||||
\(37\) | 3.86367 | + | 2.80712i | 0.635183 | + | 0.461488i | 0.858192 | − | 0.513329i | \(-0.171588\pi\) |
−0.223009 | + | 0.974816i | \(0.571588\pi\) | |||||||
\(38\) | 4.64344 | + | 0.921695i | 0.753266 | + | 0.149519i | ||||
\(39\) | −0.169520 | − | 0.521730i | −0.0271450 | − | 0.0835437i | ||||
\(40\) | 9.98359 | + | 6.65339i | 1.57854 | + | 1.05199i | ||||
\(41\) | 2.34835 | + | 3.23222i | 0.366750 | + | 0.504788i | 0.952014 | − | 0.306055i | \(-0.0990090\pi\) |
−0.585264 | + | 0.810843i | \(0.699009\pi\) | |||||||
\(42\) | 2.07305 | − | 1.91785i | 0.319878 | − | 0.295931i | ||||
\(43\) | 2.09501 | 0.319486 | 0.159743 | − | 0.987159i | \(-0.448933\pi\) | ||||
0.159743 | + | 0.987159i | \(0.448933\pi\) | |||||||
\(44\) | −4.58699 | − | 4.79161i | −0.691515 | − | 0.722363i | ||||
\(45\) | 11.4487 | 1.70668 | ||||||||
\(46\) | −1.27410 | + | 1.17872i | −0.187856 | + | 0.173793i | ||||
\(47\) | −6.90126 | − | 9.49877i | −1.00665 | − | 1.38554i | −0.921153 | − | 0.389200i | \(-0.872751\pi\) |
−0.0854997 | − | 0.996338i | \(-0.527249\pi\) | |||||||
\(48\) | −0.999347 | − | 1.95354i | −0.144243 | − | 0.281970i | ||||
\(49\) | 1.93176 | + | 5.94534i | 0.275965 | + | 0.849334i | ||||
\(50\) | 18.0225 | + | 3.57735i | 2.54876 | + | 0.505914i | ||||
\(51\) | 2.52141 | + | 1.83191i | 0.353068 | + | 0.256519i | ||||
\(52\) | 0.763879 | − | 1.84837i | 0.105931 | − | 0.256323i | ||||
\(53\) | 3.00120 | − | 9.23673i | 0.412246 | − | 1.26876i | −0.502445 | − | 0.864609i | \(-0.667566\pi\) |
0.914691 | − | 0.404153i | \(-0.132434\pi\) | |||||||
\(54\) | −3.85851 | − | 2.15883i | −0.525076 | − | 0.293779i | ||||
\(55\) | −12.8723 | − | 5.67630i | −1.73570 | − | 0.765392i | ||||
\(56\) | 10.2877 | − | 0.416651i | 1.37475 | − | 0.0556773i | ||||
\(57\) | −1.74648 | − | 0.567464i | −0.231326 | − | 0.0751625i | ||||
\(58\) | −4.05340 | + | 0.481407i | −0.532238 | + | 0.0632118i | ||||
\(59\) | −2.05580 | + | 2.82957i | −0.267643 | + | 0.368379i | −0.921592 | − | 0.388160i | \(-0.873111\pi\) |
0.653949 | + | 0.756538i | \(0.273111\pi\) | |||||||
\(60\) | −3.54127 | − | 3.01960i | −0.457176 | − | 0.389829i | ||||
\(61\) | 4.22016 | − | 1.37121i | 0.540336 | − | 0.175566i | −0.0261186 | − | 0.999659i | \(-0.508315\pi\) |
0.566454 | + | 0.824093i | \(0.308315\pi\) | |||||||
\(62\) | 4.61891 | + | 10.0086i | 0.586602 | + | 1.27109i | ||||
\(63\) | 7.94876 | − | 5.77511i | 1.00145 | − | 0.727596i | ||||
\(64\) | 1.84877 | − | 7.78345i | 0.231096 | − | 0.972931i | ||||
\(65\) | − | 4.24175i | − | 0.526124i | ||||||
\(66\) | 1.54769 | + | 2.05556i | 0.190507 | + | 0.253022i | ||||
\(67\) | 7.18923i | 0.878304i | 0.898413 | + | 0.439152i | \(0.144721\pi\) | ||||
−0.898413 | + | 0.439152i | \(0.855279\pi\) | |||||||
\(68\) | 2.66143 | + | 11.0465i | 0.322746 | + | 1.33958i | ||||
\(69\) | 0.544705 | − | 0.395751i | 0.0655748 | − | 0.0476428i | ||||
\(70\) | 19.8273 | − | 9.15018i | 2.36981 | − | 1.09366i | ||||
\(71\) | 9.14254 | − | 2.97059i | 1.08502 | − | 0.352544i | 0.288700 | − | 0.957420i | \(-0.406777\pi\) |
0.796320 | + | 0.604876i | \(0.206777\pi\) | |||||||
\(72\) | −2.65094 | − | 7.15905i | −0.312416 | − | 0.843702i | ||||
\(73\) | 1.65069 | − | 2.27198i | 0.193199 | − | 0.265916i | −0.701417 | − | 0.712751i | \(-0.747449\pi\) |
0.894616 | + | 0.446835i | \(0.147449\pi\) | |||||||
\(74\) | −0.796541 | − | 6.70681i | −0.0925960 | − | 0.779651i | ||||
\(75\) | −6.77855 | − | 2.20249i | −0.782720 | − | 0.254321i | ||||
\(76\) | −3.50269 | − | 5.70555i | −0.401786 | − | 0.654472i | ||||
\(77\) | −11.8004 | + | 2.55220i | −1.34479 | + | 0.290851i | ||||
\(78\) | −0.378804 | + | 0.677042i | −0.0428911 | + | 0.0766600i | ||||
\(79\) | −1.83130 | + | 5.63618i | −0.206038 | + | 0.634119i | 0.793631 | + | 0.608399i | \(0.208188\pi\) |
−0.999669 | + | 0.0257204i | \(0.991812\pi\) | |||||||
\(80\) | −2.68121 | − | 16.7538i | −0.299768 | − | 1.87313i | ||||
\(81\) | −5.16323 | − | 3.75131i | −0.573693 | − | 0.416812i | ||||
\(82\) | 1.10005 | − | 5.54201i | 0.121481 | − | 0.612013i | ||||
\(83\) | 2.02652 | + | 6.23698i | 0.222439 | + | 0.684597i | 0.998541 | + | 0.0539903i | \(0.0171940\pi\) |
−0.776102 | + | 0.630607i | \(0.782806\pi\) | |||||||
\(84\) | −3.98185 | − | 0.310153i | −0.434456 | − | 0.0338404i | ||||
\(85\) | 14.1648 | + | 19.4962i | 1.53639 | + | 2.11466i | ||||
\(86\) | −2.01202 | − | 2.17483i | −0.216962 | − | 0.234518i | ||||
\(87\) | 1.58338 | 0.169756 | ||||||||
\(88\) | −0.568897 | + | 9.36357i | −0.0606447 | + | 0.998159i | ||||
\(89\) | 7.06922 | 0.749335 | 0.374668 | − | 0.927159i | \(-0.377757\pi\) | ||||
0.374668 | + | 0.927159i | \(0.377757\pi\) | |||||||
\(90\) | −10.9952 | − | 11.8850i | −1.15900 | − | 1.25279i | ||||
\(91\) | −2.13968 | − | 2.94501i | −0.224299 | − | 0.308721i | ||||
\(92\) | 2.44726 | + | 0.190621i | 0.255145 | + | 0.0198736i | ||||
\(93\) | −1.32131 | − | 4.06659i | −0.137014 | − | 0.421685i | ||||
\(94\) | −3.23281 | + | 16.2867i | −0.333439 | + | 1.67985i | ||||
\(95\) | −11.4873 | − | 8.34604i | −1.17858 | − | 0.856286i | ||||
\(96\) | −1.06822 | + | 2.91358i | −0.109025 | + | 0.297366i | ||||
\(97\) | −4.36371 | + | 13.4301i | −0.443068 | + | 1.36362i | 0.441521 | + | 0.897251i | \(0.354439\pi\) |
−0.884589 | + | 0.466372i | \(0.845561\pi\) | |||||||
\(98\) | 4.31663 | − | 7.71519i | 0.436046 | − | 0.779352i | ||||
\(99\) | 4.50346 | + | 7.73648i | 0.452614 | + | 0.777545i | ||||
\(100\) | −13.5949 | − | 22.1448i | −1.35949 | − | 2.21448i | ||||
\(101\) | −6.45669 | − | 2.09791i | −0.642465 | − | 0.208749i | −0.0303759 | − | 0.999539i | \(-0.509670\pi\) |
−0.612089 | + | 0.790789i | \(0.709670\pi\) | |||||||
\(102\) | −0.519819 | − | 4.37683i | −0.0514697 | − | 0.433370i | ||||
\(103\) | −3.96440 | + | 5.45653i | −0.390624 | + | 0.537647i | −0.958360 | − | 0.285563i | \(-0.907819\pi\) |
0.567736 | + | 0.823211i | \(0.307819\pi\) | |||||||
\(104\) | −2.65242 | + | 0.982171i | −0.260091 | + | 0.0963098i | ||||
\(105\) | −8.05601 | + | 2.61756i | −0.786187 | + | 0.255447i | ||||
\(106\) | −12.4710 | + | 5.75529i | −1.21129 | + | 0.559003i | ||||
\(107\) | 4.98854 | − | 3.62439i | 0.482261 | − | 0.350383i | −0.319940 | − | 0.947438i | \(-0.603663\pi\) |
0.802200 | + | 0.597055i | \(0.203663\pi\) | |||||||
\(108\) | 1.46458 | + | 6.07883i | 0.140929 | + | 0.584936i | ||||
\(109\) | 4.24975i | 0.407053i | 0.979069 | + | 0.203526i | \(0.0652402\pi\) | ||||
−0.979069 | + | 0.203526i | \(0.934760\pi\) | |||||||
\(110\) | 6.46983 | + | 18.8142i | 0.616874 | + | 1.79387i | ||||
\(111\) | 2.61988i | 0.248668i | ||||||||
\(112\) | −10.3127 | − | 10.2795i | −0.974459 | − | 0.971325i | ||||
\(113\) | 6.34099 | − | 4.60700i | 0.596510 | − | 0.433390i | −0.248128 | − | 0.968727i | \(-0.579815\pi\) |
0.844638 | + | 0.535337i | \(0.179815\pi\) | |||||||
\(114\) | 1.08821 | + | 2.35801i | 0.101920 | + | 0.220847i | ||||
\(115\) | 4.95126 | − | 1.60876i | 0.461707 | − | 0.150018i | ||||
\(116\) | 4.39259 | + | 3.74551i | 0.407841 | + | 0.347762i | ||||
\(117\) | −1.58647 | + | 2.18359i | −0.146669 | + | 0.201873i | ||||
\(118\) | 4.91175 | − | 0.583349i | 0.452163 | − | 0.0537017i | ||||
\(119\) | 19.6690 | + | 6.39084i | 1.80305 | + | 0.585847i | ||||
\(120\) | 0.266335 | + | 6.57618i | 0.0243129 | + | 0.600321i | ||||
\(121\) | −1.22768 | − | 10.9313i | −0.111607 | − | 0.993752i | ||||
\(122\) | −5.47644 | − | 3.06406i | −0.495814 | − | 0.277407i | ||||
\(123\) | −0.677276 | + | 2.08444i | −0.0610679 | + | 0.187948i | ||||
\(124\) | 5.95399 | − | 14.4070i | 0.534684 | − | 1.29379i | ||||
\(125\) | −27.4273 | − | 19.9271i | −2.45317 | − | 1.78233i | ||||
\(126\) | −13.6290 | − | 2.70528i | −1.21417 | − | 0.241006i | ||||
\(127\) | −0.0314508 | − | 0.0967955i | −0.00279080 | − | 0.00858921i | 0.949651 | − | 0.313308i | \(-0.101437\pi\) |
−0.952442 | + | 0.304719i | \(0.901437\pi\) | |||||||
\(128\) | −9.85555 | + | 5.55592i | −0.871115 | + | 0.491078i | ||||
\(129\) | 0.675529 | + | 0.929786i | 0.0594770 | + | 0.0818631i | ||||
\(130\) | −4.40337 | + | 4.07372i | −0.386201 | + | 0.357289i | ||||
\(131\) | −11.0380 | −0.964392 | −0.482196 | − | 0.876064i | \(-0.660161\pi\) | ||||
−0.482196 | + | 0.876064i | \(0.660161\pi\) | |||||||
\(132\) | 0.647505 | − | 3.58079i | 0.0563581 | − | 0.311668i | ||||
\(133\) | −12.1856 | −1.05662 | ||||||||
\(134\) | 7.46315 | − | 6.90444i | 0.644718 | − | 0.596453i | ||||
\(135\) | 7.79483 | + | 10.7287i | 0.670872 | + | 0.923376i | ||||
\(136\) | 8.91136 | − | 13.3717i | 0.764143 | − | 1.14662i | ||||
\(137\) | −4.38660 | − | 13.5006i | −0.374773 | − | 1.15343i | −0.943632 | − | 0.330996i | \(-0.892615\pi\) |
0.568859 | − | 0.822435i | \(-0.307385\pi\) | |||||||
\(138\) | −0.933958 | − | 0.185385i | −0.0795038 | − | 0.0157810i | ||||
\(139\) | 12.6066 | + | 9.15923i | 1.06928 | + | 0.776876i | 0.975782 | − | 0.218744i | \(-0.0701959\pi\) |
0.0934957 | + | 0.995620i | \(0.470196\pi\) | |||||||
\(140\) | −28.5407 | − | 11.7950i | −2.41213 | − | 0.996861i | ||||
\(141\) | 1.99036 | − | 6.12570i | 0.167619 | − | 0.515877i | ||||
\(142\) | −11.8642 | − | 6.63797i | −0.995618 | − | 0.557046i | ||||
\(143\) | 2.86636 | − | 1.66853i | 0.239697 | − | 0.139529i | ||||
\(144\) | −4.88589 | + | 9.62740i | −0.407158 | + | 0.802284i | ||||
\(145\) | 11.6439 | + | 3.78333i | 0.966972 | + | 0.314188i | ||||
\(146\) | −3.94386 | + | 0.468396i | −0.326396 | + | 0.0387648i | ||||
\(147\) | −2.01571 | + | 2.77439i | −0.166253 | + | 0.228828i | ||||
\(148\) | −6.19736 | + | 7.26802i | −0.509420 | + | 0.597428i | ||||
\(149\) | 12.1299 | − | 3.94124i | 0.993720 | − | 0.322879i | 0.233367 | − | 0.972389i | \(-0.425026\pi\) |
0.760354 | + | 0.649509i | \(0.225026\pi\) | |||||||
\(150\) | 4.22363 | + | 9.15207i | 0.344858 | + | 0.747263i | ||||
\(151\) | 17.8677 | − | 12.9816i | 1.45405 | − | 1.05643i | 0.469186 | − | 0.883099i | \(-0.344547\pi\) |
0.984864 | − | 0.173330i | \(-0.0554526\pi\) | |||||||
\(152\) | −2.55901 | + | 9.11569i | −0.207563 | + | 0.739380i | ||||
\(153\) | − | 15.3341i | − | 1.23969i | ||||||
\(154\) | 13.9824 | + | 9.79896i | 1.12674 | + | 0.789623i | ||||
\(155\) | − | 33.0620i | − | 2.65560i | ||||||
\(156\) | 1.06664 | − | 0.256986i | 0.0853994 | − | 0.0205753i | ||||
\(157\) | −10.6201 | + | 7.71597i | −0.847578 | + | 0.615801i | −0.924477 | − | 0.381238i | \(-0.875498\pi\) |
0.0768994 | + | 0.997039i | \(0.475498\pi\) | |||||||
\(158\) | 7.60969 | − | 3.51183i | 0.605394 | − | 0.279386i | ||||
\(159\) | 5.06708 | − | 1.64639i | 0.401846 | − | 0.130568i | ||||
\(160\) | −14.8172 | + | 18.8735i | −1.17140 | + | 1.49208i | ||||
\(161\) | 2.62610 | − | 3.61452i | 0.206966 | − | 0.284864i | ||||
\(162\) | 1.06446 | + | 8.96268i | 0.0836320 | + | 0.704174i | ||||
\(163\) | −7.17533 | − | 2.33141i | −0.562015 | − | 0.182610i | 0.0142124 | − | 0.999899i | \(-0.495476\pi\) |
−0.576228 | + | 0.817289i | \(0.695476\pi\) | |||||||
\(164\) | −6.80965 | + | 4.18051i | −0.531744 | + | 0.326443i | ||||
\(165\) | −1.63144 | − | 7.54317i | −0.127007 | − | 0.587235i | ||||
\(166\) | 4.52838 | − | 8.09365i | 0.351471 | − | 0.628189i | ||||
\(167\) | 4.46350 | − | 13.7372i | 0.345396 | − | 1.06302i | −0.615976 | − | 0.787765i | \(-0.711238\pi\) |
0.961372 | − | 0.275254i | \(-0.0887620\pi\) | |||||||
\(168\) | 3.50215 | + | 4.43144i | 0.270197 | + | 0.341893i | ||||
\(169\) | 0.809017 | + | 0.587785i | 0.0622321 | + | 0.0452143i | ||||
\(170\) | 6.63533 | − | 33.4284i | 0.508906 | − | 2.56384i | ||||
\(171\) | 2.79198 | + | 8.59282i | 0.213508 | + | 0.657109i | ||||
\(172\) | −0.325381 | + | 4.17737i | −0.0248101 | + | 0.318521i | ||||
\(173\) | 5.90858 | + | 8.13246i | 0.449221 | + | 0.618299i | 0.972230 | − | 0.234028i | \(-0.0751906\pi\) |
−0.523009 | + | 0.852327i | \(0.675191\pi\) | |||||||
\(174\) | −1.52066 | − | 1.64371i | −0.115281 | − | 0.124610i | ||||
\(175\) | −47.2955 | −3.57521 | ||||||||
\(176\) | 10.2667 | − | 8.40208i | 0.773882 | − | 0.633330i | ||||
\(177\) | −1.91868 | −0.144217 | ||||||||
\(178\) | −6.78919 | − | 7.33857i | −0.508871 | − | 0.550049i | ||||
\(179\) | −2.90529 | − | 3.99878i | −0.217151 | − | 0.298883i | 0.686519 | − | 0.727112i | \(-0.259138\pi\) |
−0.903670 | + | 0.428229i | \(0.859138\pi\) | |||||||
\(180\) | −1.77813 | + | 22.8283i | −0.132534 | + | 1.70152i | ||||
\(181\) | −3.29998 | − | 10.1563i | −0.245285 | − | 0.754910i | −0.995589 | − | 0.0938175i | \(-0.970093\pi\) |
0.750304 | − | 0.661093i | \(-0.229907\pi\) | |||||||
\(182\) | −1.00231 | + | 5.04955i | −0.0742958 | + | 0.374298i | ||||
\(183\) | 1.96933 | + | 1.43081i | 0.145577 | + | 0.105768i | ||||
\(184\) | −2.15244 | − | 2.72358i | −0.158680 | − | 0.200785i | ||||
\(185\) | −6.25994 | + | 19.2661i | −0.460240 | + | 1.41647i | ||||
\(186\) | −2.95256 | + | 5.27716i | −0.216492 | + | 0.386940i | ||||
\(187\) | −7.60268 | + | 17.2408i | −0.555963 | + | 1.26077i | ||||
\(188\) | 20.0120 | − | 12.2856i | 1.45953 | − | 0.896017i | ||||
\(189\) | 10.8238 | + | 3.51685i | 0.787313 | + | 0.255814i | ||||
\(190\) | 2.36825 | + | 19.9405i | 0.171811 | + | 1.44663i | ||||
\(191\) | −6.10473 | + | 8.40244i | −0.441723 | + | 0.607979i | −0.970594 | − | 0.240723i | \(-0.922616\pi\) |
0.528871 | + | 0.848702i | \(0.322616\pi\) | |||||||
\(192\) | 4.05050 | − | 1.68925i | 0.292320 | − | 0.121911i | ||||
\(193\) | −11.7260 | + | 3.81001i | −0.844056 | + | 0.274250i | −0.698954 | − | 0.715166i | \(-0.746351\pi\) |
−0.145102 | + | 0.989417i | \(0.546351\pi\) | |||||||
\(194\) | 18.1327 | − | 8.36814i | 1.30185 | − | 0.600798i | ||||
\(195\) | 1.88253 | − | 1.36774i | 0.134811 | − | 0.0979459i | ||||
\(196\) | −12.1548 | + | 2.92846i | −0.868199 | + | 0.209176i | ||||
\(197\) | − | 4.39581i | − | 0.313188i | −0.987663 | − | 0.156594i | \(-0.949949\pi\) | ||
0.987663 | − | 0.156594i | \(-0.0500515\pi\) | |||||||
\(198\) | 3.70619 | − | 12.1051i | 0.263388 | − | 0.860269i | ||||
\(199\) | − | 20.9347i | − | 1.48402i | −0.670388 | − | 0.742011i | \(-0.733872\pi\) | ||
0.670388 | − | 0.742011i | \(-0.266128\pi\) | |||||||
\(200\) | −9.93222 | + | 35.3805i | −0.702314 | + | 2.50178i | ||||
\(201\) | −3.19065 | + | 2.31814i | −0.225051 | + | 0.163509i | ||||
\(202\) | 4.02308 | + | 8.71751i | 0.283063 | + | 0.613362i | ||||
\(203\) | 9.99268 | − | 3.24682i | 0.701349 | − | 0.227882i | ||||
\(204\) | −4.04437 | + | 4.74307i | −0.283162 | + | 0.332082i | ||||
\(205\) | −9.96110 | + | 13.7103i | −0.695714 | + | 0.957568i | ||||
\(206\) | 9.47179 | − | 1.12493i | 0.659931 | − | 0.0783774i | ||||
\(207\) | −3.15052 | − | 1.02367i | −0.218977 | − | 0.0711498i | ||||
\(208\) | 3.56695 | + | 1.81022i | 0.247323 | + | 0.125516i | ||||
\(209\) | 1.12119 | − | 11.0455i | 0.0775544 | − | 0.764036i | ||||
\(210\) | 10.4542 | + | 5.84910i | 0.721407 | + | 0.403626i | ||||
\(211\) | 7.13517 | − | 21.9598i | 0.491206 | − | 1.51178i | −0.331582 | − | 0.943426i | \(-0.607582\pi\) |
0.822788 | − | 0.568349i | \(-0.192418\pi\) | |||||||
\(212\) | 17.9515 | + | 7.41885i | 1.23292 | + | 0.509528i | ||||
\(213\) | 4.26636 | + | 3.09969i | 0.292326 | + | 0.212387i | ||||
\(214\) | −8.55342 | − | 1.69780i | −0.584700 | − | 0.116059i | ||||
\(215\) | 2.74608 | + | 8.45157i | 0.187281 | + | 0.576392i | ||||
\(216\) | 4.90389 | − | 7.35841i | 0.333667 | − | 0.500677i | ||||
\(217\) | −16.6775 | − | 22.9547i | −1.13214 | − | 1.55826i | ||||
\(218\) | 4.41168 | − | 4.08141i | 0.298797 | − | 0.276428i | ||||
\(219\) | 1.54059 | 0.104103 | ||||||||
\(220\) | 13.3176 | − | 24.7853i | 0.897869 | − | 1.67102i | ||||
\(221\) | −5.68128 | −0.382164 | ||||||||
\(222\) | 2.71971 | − | 2.51610i | 0.182535 | − | 0.168870i | ||||
\(223\) | 7.08444 | + | 9.75089i | 0.474409 | + | 0.652968i | 0.977418 | − | 0.211313i | \(-0.0677739\pi\) |
−0.503009 | + | 0.864281i | \(0.667774\pi\) | |||||||
\(224\) | −0.767025 | + | 20.5780i | −0.0512490 | + | 1.37492i | ||||
\(225\) | 10.8364 | + | 33.3511i | 0.722428 | + | 2.22341i | ||||
\(226\) | −10.8723 | − | 2.15809i | −0.723217 | − | 0.143554i | ||||
\(227\) | 3.68465 | + | 2.67705i | 0.244559 | + | 0.177682i | 0.703312 | − | 0.710882i | \(-0.251704\pi\) |
−0.458753 | + | 0.888564i | \(0.651704\pi\) | |||||||
\(228\) | 1.40275 | − | 3.39427i | 0.0928995 | − | 0.224791i | ||||
\(229\) | 3.64790 | − | 11.2271i | 0.241060 | − | 0.741907i | −0.755199 | − | 0.655495i | \(-0.772460\pi\) |
0.996259 | − | 0.0864119i | \(-0.0275401\pi\) | |||||||
\(230\) | −6.42518 | − | 3.59488i | −0.423664 | − | 0.237039i | ||||
\(231\) | −4.93771 | − | 4.41421i | −0.324878 | − | 0.290433i | ||||
\(232\) | −0.330361 | − | 8.15710i | −0.0216893 | − | 0.535540i | ||||
\(233\) | 15.5762 | + | 5.06102i | 1.02043 | + | 0.331559i | 0.771001 | − | 0.636834i | \(-0.219756\pi\) |
0.249432 | + | 0.968392i | \(0.419756\pi\) | |||||||
\(234\) | 3.79041 | − | 0.450172i | 0.247787 | − | 0.0294287i | ||||
\(235\) | 29.2734 | − | 40.2914i | 1.90959 | − | 2.62832i | ||||
\(236\) | −5.32276 | − | 4.53866i | −0.346482 | − | 0.295442i | ||||
\(237\) | −3.09189 | + | 1.00462i | −0.200840 | + | 0.0652568i | ||||
\(238\) | −12.2555 | − | 26.5561i | −0.794406 | − | 1.72138i | ||||
\(239\) | 9.09776 | − | 6.60991i | 0.588485 | − | 0.427559i | −0.253288 | − | 0.967391i | \(-0.581512\pi\) |
0.841773 | + | 0.539832i | \(0.181512\pi\) | |||||||
\(240\) | 6.57097 | − | 6.59216i | 0.424154 | − | 0.425522i | ||||
\(241\) | − | 3.38066i | − | 0.217767i | −0.994055 | − | 0.108884i | \(-0.965272\pi\) | ||
0.994055 | − | 0.108884i | \(-0.0347276\pi\) | |||||||
\(242\) | −10.1687 | + | 11.7727i | −0.653671 | + | 0.756779i | ||||
\(243\) | − | 12.8803i | − | 0.826269i | ||||||
\(244\) | 2.07870 | + | 8.62779i | 0.133075 | + | 0.552338i | ||||
\(245\) | −21.4523 | + | 15.5860i | −1.37053 | + | 0.995751i | ||||
\(246\) | 2.81431 | − | 1.29879i | 0.179434 | − | 0.0828077i | ||||
\(247\) | 3.18363 | − | 1.03442i | 0.202570 | − | 0.0658189i | ||||
\(248\) | −20.6741 | + | 7.65546i | −1.31281 | + | 0.486122i | ||||
\(249\) | −2.11459 | + | 2.91048i | −0.134007 | + | 0.184444i | ||||
\(250\) | 5.65446 | + | 47.6100i | 0.357619 | + | 3.01112i | ||||
\(251\) | 27.4366 | + | 8.91468i | 1.73178 | + | 0.562690i | 0.993705 | − | 0.112029i | \(-0.0357349\pi\) |
0.738075 | + | 0.674718i | \(0.235735\pi\) | |||||||
\(252\) | 10.2808 | + | 16.7465i | 0.647630 | + | 1.05493i | ||||
\(253\) | 3.03474 | + | 2.71299i | 0.190792 | + | 0.170564i | ||||
\(254\) | −0.0702787 | + | 0.125610i | −0.00440968 | + | 0.00788149i | ||||
\(255\) | −4.08520 | + | 12.5730i | −0.255825 | + | 0.787349i | ||||
\(256\) | 15.2328 | + | 4.89523i | 0.952047 | + | 0.305952i | ||||
\(257\) | 9.83469 | + | 7.14532i | 0.613471 | + | 0.445713i | 0.850635 | − | 0.525757i | \(-0.176218\pi\) |
−0.237164 | + | 0.971470i | \(0.576218\pi\) | |||||||
\(258\) | 0.316444 | − | 1.59422i | 0.0197009 | − | 0.0992520i | ||||
\(259\) | 5.37222 | + | 16.5340i | 0.333814 | + | 1.02737i | ||||
\(260\) | 8.45788 | + | 0.658798i | 0.524536 | + | 0.0408569i | ||||
\(261\) | −4.57908 | − | 6.30256i | −0.283438 | − | 0.390118i | ||||
\(262\) | 10.6007 | + | 11.4585i | 0.654915 | + | 0.707911i | ||||
\(263\) | −0.214372 | −0.0132188 | −0.00660939 | − | 0.999978i | \(-0.502104\pi\) | ||||
−0.00660939 | + | 0.999978i | \(0.502104\pi\) | |||||||
\(264\) | −4.33908 | + | 2.76677i | −0.267052 | + | 0.170283i | ||||
\(265\) | 41.1962 | 2.53066 | ||||||||
\(266\) | 11.7029 | + | 12.6499i | 0.717549 | + | 0.775613i | ||||
\(267\) | 2.27945 | + | 3.13739i | 0.139500 | + | 0.192005i | ||||
\(268\) | −14.3350 | − | 1.11658i | −0.875652 | − | 0.0682058i | ||||
\(269\) | 7.84787 | + | 24.1533i | 0.478493 | + | 1.47265i | 0.841188 | + | 0.540743i | \(0.181857\pi\) |
−0.362695 | + | 0.931908i | \(0.618143\pi\) | |||||||
\(270\) | 3.65139 | − | 18.3955i | 0.222217 | − | 1.11951i | ||||
\(271\) | −16.9457 | − | 12.3118i | −1.02938 | − | 0.747887i | −0.0611936 | − | 0.998126i | \(-0.519491\pi\) |
−0.968184 | + | 0.250239i | \(0.919491\pi\) | |||||||
\(272\) | −22.4396 | + | 3.59114i | −1.36060 | + | 0.217745i | ||||
\(273\) | 0.617094 | − | 1.89922i | 0.0373482 | − | 0.114946i | ||||
\(274\) | −9.80213 | + | 17.5195i | −0.592169 | + | 1.05839i | ||||
\(275\) | 4.35165 | − | 42.8708i | 0.262414 | − | 2.58521i | ||||
\(276\) | 0.704513 | + | 1.14758i | 0.0424067 | + | 0.0690765i | ||||
\(277\) | −18.5010 | − | 6.01134i | −1.11162 | − | 0.361186i | −0.305055 | − | 0.952335i | \(-0.598675\pi\) |
−0.806563 | + | 0.591148i | \(0.798675\pi\) | |||||||
\(278\) | −2.59900 | − | 21.8834i | −0.155878 | − | 1.31248i | ||||
\(279\) | −12.3656 | + | 17.0198i | −0.740309 | + | 1.01895i | ||||
\(280\) | 15.1657 | + | 40.9559i | 0.906322 | + | 2.44759i | ||||
\(281\) | −9.64369 | + | 3.13342i | −0.575294 | + | 0.186924i | −0.582191 | − | 0.813052i | \(-0.697805\pi\) |
0.00689708 | + | 0.999976i | \(0.497805\pi\) | |||||||
\(282\) | −8.27062 | + | 3.81685i | −0.492508 | + | 0.227290i | ||||
\(283\) | −18.5756 | + | 13.4960i | −1.10421 | + | 0.802253i | −0.981742 | − | 0.190220i | \(-0.939080\pi\) |
−0.122465 | + | 0.992473i | \(0.539080\pi\) | |||||||
\(284\) | 4.50329 | + | 18.6912i | 0.267221 | + | 1.10912i | ||||
\(285\) | − | 7.78935i | − | 0.461401i | ||||||
\(286\) | −4.48492 | − | 1.37314i | −0.265199 | − | 0.0811956i | ||||
\(287\) | 14.5436i | 0.858483i | ||||||||
\(288\) | 14.6866 | − | 4.17398i | 0.865415 | − | 0.245954i | ||||
\(289\) | 12.3593 | − | 8.97957i | 0.727019 | − | 0.528210i | ||||
\(290\) | −7.25516 | − | 15.7210i | −0.426038 | − | 0.923169i | ||||
\(291\) | −7.36749 | + | 2.39384i | −0.431890 | + | 0.140330i | ||||
\(292\) | 4.27387 | + | 3.64429i | 0.250110 | + | 0.213266i | ||||
\(293\) | 7.01623 | − | 9.65702i | 0.409893 | − | 0.564169i | −0.553300 | − | 0.832982i | \(-0.686632\pi\) |
0.963192 | + | 0.268813i | \(0.0866315\pi\) | |||||||
\(294\) | 4.81596 | − | 0.571973i | 0.280873 | − | 0.0333581i | ||||
\(295\) | −14.1096 | − | 4.58448i | −0.821492 | − | 0.266919i | ||||
\(296\) | 13.4968 | − | 0.546620i | 0.784487 | − | 0.0317716i | ||||
\(297\) | −4.18372 | + | 9.48756i | −0.242764 | + | 0.550524i | ||||
\(298\) | −15.7408 | − | 8.80696i | −0.911841 | − | 0.510173i | ||||
\(299\) | −0.379268 | + | 1.16727i | −0.0219336 | + | 0.0675048i | ||||
\(300\) | 5.44446 | − | 13.1741i | 0.314336 | − | 0.760607i | ||||
\(301\) | 6.16982 | + | 4.48264i | 0.355623 | + | 0.258375i | ||||
\(302\) | −30.6361 | − | 6.08108i | −1.76291 | − | 0.349927i | ||||
\(303\) | −1.15087 | − | 3.54201i | −0.0661156 | − | 0.203483i | ||||
\(304\) | 11.9207 | − | 6.09808i | 0.683697 | − | 0.349749i | ||||
\(305\) | 11.0633 | + | 15.2274i | 0.633485 | + | 0.871917i | ||||
\(306\) | −15.9184 | + | 14.7267i | −0.909994 | + | 0.841869i | ||||
\(307\) | 29.9258 | 1.70796 | 0.853979 | − | 0.520308i | \(-0.174183\pi\) | ||||
0.853979 | + | 0.520308i | \(0.174183\pi\) | |||||||
\(308\) | −3.25624 | − | 23.9260i | −0.185541 | − | 1.36331i | ||||
\(309\) | −3.69997 | −0.210484 | ||||||||
\(310\) | −34.3217 | + | 31.7523i | −1.94934 | + | 1.80341i | ||||
\(311\) | 0.975335 | + | 1.34243i | 0.0553062 | + | 0.0761224i | 0.835774 | − | 0.549073i | \(-0.185019\pi\) |
−0.780468 | + | 0.625196i | \(0.785019\pi\) | |||||||
\(312\) | −1.29116 | − | 0.860473i | −0.0730977 | − | 0.0487147i | ||||
\(313\) | −6.09896 | − | 18.7707i | −0.344734 | − | 1.06098i | −0.961726 | − | 0.274012i | \(-0.911649\pi\) |
0.616993 | − | 0.786969i | \(-0.288351\pi\) | |||||||
\(314\) | 18.2094 | + | 3.61445i | 1.02762 | + | 0.203975i | ||||
\(315\) | 33.7167 | + | 24.4966i | 1.89972 | + | 1.38023i | ||||
\(316\) | −10.9539 | − | 4.52692i | −0.616204 | − | 0.254659i | ||||
\(317\) | 0.128462 | − | 0.395365i | 0.00721515 | − | 0.0222059i | −0.947384 | − | 0.320099i | \(-0.896284\pi\) |
0.954599 | + | 0.297893i | \(0.0962839\pi\) | |||||||
\(318\) | −6.57549 | − | 3.67897i | −0.368735 | − | 0.206306i | ||||
\(319\) | 2.02364 | + | 9.35655i | 0.113302 | + | 0.523866i | ||||
\(320\) | 33.8229 | − | 2.74415i | 1.89076 | − | 0.153402i | ||||
\(321\) | 3.21708 | + | 1.04529i | 0.179560 | + | 0.0583426i | ||||
\(322\) | −6.27432 | + | 0.745176i | −0.349654 | + | 0.0415271i | ||||
\(323\) | −11.1785 | + | 15.3858i | −0.621986 | + | 0.856090i | ||||
\(324\) | 8.28188 | − | 9.71266i | 0.460104 | − | 0.539592i | ||||
\(325\) | 12.3566 | − | 4.01489i | 0.685418 | − | 0.222706i | ||||
\(326\) | 4.47086 | + | 9.68778i | 0.247618 | + | 0.536557i | ||||
\(327\) | −1.88608 | + | 1.37032i | −0.104301 | + | 0.0757789i | ||||
\(328\) | 10.8797 | + | 3.05421i | 0.600731 | + | 0.168641i | ||||
\(329\) | − | 42.7405i | − | 2.35636i | ||||||
\(330\) | −6.26377 | + | 8.93797i | −0.344809 | + | 0.492019i | ||||
\(331\) | 16.3459i | 0.898450i | 0.893419 | + | 0.449225i | \(0.148300\pi\) | ||||
−0.893419 | + | 0.449225i | \(0.851700\pi\) | |||||||
\(332\) | −12.7510 | + | 3.07211i | −0.699804 | + | 0.168604i | ||||
\(333\) | 10.4283 | − | 7.57659i | 0.571466 | − | 0.415195i | ||||
\(334\) | −18.5473 | + | 8.55950i | −1.01487 | + | 0.468355i | ||||
\(335\) | −29.0024 | + | 9.42345i | −1.58457 | + | 0.514858i | ||||
\(336\) | 1.23686 | − | 7.89149i | 0.0674765 | − | 0.430516i | ||||
\(337\) | −0.875233 | + | 1.20466i | −0.0476770 | + | 0.0656218i | −0.832190 | − | 0.554491i | \(-0.812913\pi\) |
0.784513 | + | 0.620113i | \(0.212913\pi\) | |||||||
\(338\) | −0.166788 | − | 1.40434i | −0.00907209 | − | 0.0763862i | ||||
\(339\) | 4.08926 | + | 1.32868i | 0.222098 | + | 0.0721641i | ||||
\(340\) | −41.0745 | + | 25.2160i | −2.22758 | + | 1.36753i | ||||
\(341\) | 22.3416 | − | 13.0052i | 1.20987 | − | 0.704272i | ||||
\(342\) | 6.23885 | − | 11.1508i | 0.337358 | − | 0.602966i | ||||
\(343\) | 0.842212 | − | 2.59206i | 0.0454752 | − | 0.139958i | ||||
\(344\) | 4.64902 | − | 3.67411i | 0.250659 | − | 0.198095i | ||||
\(345\) | 2.31050 | + | 1.67868i | 0.124393 | + | 0.0903770i | ||||
\(346\) | 2.76780 | − | 13.9440i | 0.148798 | − | 0.749635i | ||||
\(347\) | −2.61322 | − | 8.04266i | −0.140285 | − | 0.431753i | 0.856090 | − | 0.516827i | \(-0.172887\pi\) |
−0.996375 | + | 0.0850748i | \(0.972887\pi\) | |||||||
\(348\) | −0.245919 | + | 3.15720i | −0.0131827 | + | 0.169244i | ||||
\(349\) | −1.72144 | − | 2.36936i | −0.0921467 | − | 0.126829i | 0.760454 | − | 0.649391i | \(-0.224976\pi\) |
−0.852601 | + | 0.522562i | \(0.824976\pi\) | |||||||
\(350\) | 45.4220 | + | 49.0976i | 2.42791 | + | 2.62438i | ||||
\(351\) | −3.12639 | −0.166874 | ||||||||
\(352\) | −18.5822 | − | 2.58864i | −0.990436 | − | 0.137975i | ||||
\(353\) | −0.831846 | −0.0442747 | −0.0221373 | − | 0.999755i | \(-0.507047\pi\) | ||||
−0.0221373 | + | 0.999755i | \(0.507047\pi\) | |||||||
\(354\) | 1.84268 | + | 1.99179i | 0.0979371 | + | 0.105862i | ||||
\(355\) | 23.9676 | + | 32.9886i | 1.27207 | + | 1.75085i | ||||
\(356\) | −1.09794 | + | 14.0957i | −0.0581906 | + | 0.747073i | ||||
\(357\) | 3.50588 | + | 10.7900i | 0.185551 | + | 0.571067i | ||||
\(358\) | −1.36095 | + | 6.85636i | −0.0719282 | + | 0.362370i | ||||
\(359\) | −6.55931 | − | 4.76562i | −0.346187 | − | 0.251520i | 0.401080 | − | 0.916043i | \(-0.368635\pi\) |
−0.747268 | + | 0.664523i | \(0.768635\pi\) | |||||||
\(360\) | 25.4058 | − | 20.0782i | 1.33901 | − | 1.05821i | ||||
\(361\) | −2.40862 | + | 7.41296i | −0.126769 | + | 0.390156i | ||||
\(362\) | −7.37400 | + | 13.1797i | −0.387569 | + | 0.692708i | ||||
\(363\) | 4.45555 | − | 4.06961i | 0.233856 | − | 0.213599i | ||||
\(364\) | 6.20455 | − | 3.80903i | 0.325207 | − | 0.199647i | ||||
\(365\) | 11.3292 | + | 3.68108i | 0.592997 | + | 0.192677i | ||||
\(366\) | −0.406002 | − | 3.41850i | −0.0212220 | − | 0.178688i | ||||
\(367\) | −10.1661 | + | 13.9925i | −0.530669 | + | 0.730403i | −0.987232 | − | 0.159288i | \(-0.949080\pi\) |
0.456564 | + | 0.889691i | \(0.349080\pi\) | |||||||
\(368\) | −0.760181 | + | 4.85014i | −0.0396272 | + | 0.252831i | ||||
\(369\) | 10.2556 | − | 3.33226i | 0.533887 | − | 0.173470i | ||||
\(370\) | 26.0121 | − | 12.0045i | 1.35231 | − | 0.624082i | ||||
\(371\) | 28.6022 | − | 20.7807i | 1.48495 | − | 1.07888i | ||||
\(372\) | 8.31383 | − | 2.00306i | 0.431052 | − | 0.103854i | ||||
\(373\) | 4.81302i | 0.249209i | 0.992207 | + | 0.124604i | \(0.0397662\pi\) | ||||
−0.992207 | + | 0.124604i | \(0.960234\pi\) | |||||||
\(374\) | 25.1993 | − | 8.66551i | 1.30302 | − | 0.448083i | ||||
\(375\) | − | 18.5979i | − | 0.960393i | ||||||
\(376\) | −31.9730 | − | 8.97564i | −1.64888 | − | 0.462883i | ||||
\(377\) | −2.33509 | + | 1.69654i | −0.120263 | + | 0.0873765i | ||||
\(378\) | −6.74415 | − | 14.6137i | −0.346882 | − | 0.751649i | ||||
\(379\) | 2.56157 | − | 0.832304i | 0.131579 | − | 0.0427526i | −0.242487 | − | 0.970155i | \(-0.577963\pi\) |
0.374066 | + | 0.927402i | \(0.377963\pi\) | |||||||
\(380\) | 18.4258 | − | 21.6091i | 0.945224 | − | 1.10852i | ||||
\(381\) | 0.0328176 | − | 0.0451696i | 0.00168130 | − | 0.00231411i | ||||
\(382\) | 14.5855 | − | 1.73226i | 0.746259 | − | 0.0886303i | ||||
\(383\) | −5.20023 | − | 1.68966i | −0.265719 | − | 0.0863374i | 0.173127 | − | 0.984899i | \(-0.444613\pi\) |
−0.438846 | + | 0.898562i | \(0.644613\pi\) | |||||||
\(384\) | −5.64366 | − | 2.58250i | −0.288002 | − | 0.131788i | ||||
\(385\) | −25.7637 | − | 44.2593i | −1.31304 | − | 2.25567i | ||||
\(386\) | 15.2167 | + | 8.51370i | 0.774508 | + | 0.433336i | ||||
\(387\) | 1.74735 | − | 5.37780i | 0.0888230 | − | 0.273369i | ||||
\(388\) | −26.1014 | − | 10.7869i | −1.32510 | − | 0.547624i | ||||
\(389\) | 9.24024 | + | 6.71342i | 0.468499 | + | 0.340384i | 0.796856 | − | 0.604169i | \(-0.206495\pi\) |
−0.328357 | + | 0.944554i | \(0.606495\pi\) | |||||||
\(390\) | −3.22781 | − | 0.640701i | −0.163447 | − | 0.0324432i | ||||
\(391\) | −2.15473 | − | 6.63157i | −0.108969 | − | 0.335373i | ||||
\(392\) | 14.7133 | + | 9.80546i | 0.743136 | + | 0.495251i | ||||
\(393\) | −3.55916 | − | 4.89876i | −0.179536 | − | 0.247110i | ||||
\(394\) | −4.56330 | + | 4.22168i | −0.229896 | + | 0.212685i | ||||
\(395\) | −25.1376 | −1.26481 | ||||||||
\(396\) | −16.1257 | + | 7.77814i | −0.810346 | + | 0.390866i | ||||
\(397\) | −33.8138 | −1.69707 | −0.848533 | − | 0.529142i | \(-0.822514\pi\) | ||||
−0.848533 | + | 0.529142i | \(0.822514\pi\) | |||||||
\(398\) | −21.7324 | + | 20.1054i | −1.08935 | + | 1.00779i | ||||
\(399\) | −3.92920 | − | 5.40808i | −0.196706 | − | 0.270743i | ||||
\(400\) | 46.2674 | − | 23.6683i | 2.31337 | − | 1.18342i | ||||
\(401\) | −6.10014 | − | 18.7743i | −0.304627 | − | 0.937544i | −0.979816 | − | 0.199900i | \(-0.935938\pi\) |
0.675190 | − | 0.737644i | \(-0.264062\pi\) | |||||||
\(402\) | 5.47073 | + | 1.08591i | 0.272855 | + | 0.0541601i | ||||
\(403\) | 6.30582 | + | 4.58145i | 0.314115 | + | 0.228218i | ||||
\(404\) | 5.18595 | − | 12.5486i | 0.258010 | − | 0.624314i | ||||
\(405\) | 8.36550 | − | 25.7464i | 0.415685 | − | 1.27935i | ||||
\(406\) | −12.9674 | − | 7.25522i | −0.643560 | − | 0.360071i | ||||
\(407\) | −15.4815 | + | 3.34833i | −0.767387 | + | 0.165971i | ||||
\(408\) | 8.80795 | − | 0.356721i | 0.436059 | − | 0.0176603i | ||||
\(409\) | 16.3795 | + | 5.32201i | 0.809912 | + | 0.263156i | 0.684560 | − | 0.728956i | \(-0.259994\pi\) |
0.125351 | + | 0.992112i | \(0.459994\pi\) | |||||||
\(410\) | 23.7992 | − | 2.82654i | 1.17536 | − | 0.139593i | ||||
\(411\) | 4.57724 | − | 6.30003i | 0.225779 | − | 0.310758i | ||||
\(412\) | −10.2644 | − | 8.75232i | −0.505689 | − | 0.431196i | ||||
\(413\) | −12.1087 | + | 3.93436i | −0.595831 | + | 0.193597i | ||||
\(414\) | 1.96305 | + | 4.25368i | 0.0964788 | + | 0.209057i | ||||
\(415\) | −22.5046 | + | 16.3505i | −1.10471 | + | 0.802616i | ||||
\(416\) | −1.54646 | − | 5.44137i | −0.0758213 | − | 0.266785i | ||||
\(417\) | 8.54830i | 0.418612i | ||||||||
\(418\) | −12.5432 | + | 9.44409i | −0.613507 | + | 0.461925i | ||||
\(419\) | − | 15.5702i | − | 0.760652i | −0.924853 | − | 0.380326i | \(-0.875812\pi\) | ||
0.924853 | − | 0.380326i | \(-0.124188\pi\) | |||||||
\(420\) | −3.96811 | − | 16.4699i | −0.193624 | − | 0.803650i | ||||
\(421\) | −16.9469 | + | 12.3126i | −0.825941 | + | 0.600081i | −0.918408 | − | 0.395635i | \(-0.870525\pi\) |
0.0924674 | + | 0.995716i | \(0.470525\pi\) | |||||||
\(422\) | −29.6490 | + | 13.6829i | −1.44329 | + | 0.666072i | ||||
\(423\) | −30.1390 | + | 9.79276i | −1.46541 | + | 0.476140i | ||||
\(424\) | −9.53892 | − | 25.7605i | −0.463251 | − | 1.25104i | ||||
\(425\) | −43.3866 | + | 59.7166i | −2.10456 | + | 2.89668i | ||||
\(426\) | −0.879561 | − | 7.40583i | −0.0426149 | − | 0.358813i | ||||
\(427\) | 15.3624 | + | 4.99153i | 0.743436 | + | 0.241557i | ||||
\(428\) | 6.45210 | + | 10.5099i | 0.311874 | + | 0.508014i | ||||
\(429\) | 1.66476 | + | 0.734108i | 0.0803753 | + | 0.0354431i | ||||
\(430\) | 6.13629 | − | 10.9675i | 0.295918 | − | 0.528900i | ||||
\(431\) | 4.99533 | − | 15.3741i | 0.240617 | − | 0.740542i | −0.755710 | − | 0.654907i | \(-0.772708\pi\) |
0.996327 | − | 0.0856356i | \(-0.0272921\pi\) | |||||||
\(432\) | −12.3484 | + | 1.97619i | −0.594114 | + | 0.0950794i | ||||
\(433\) | −2.57073 | − | 1.86775i | −0.123542 | − | 0.0897582i | 0.524299 | − | 0.851534i | \(-0.324328\pi\) |
−0.647840 | + | 0.761776i | \(0.724328\pi\) | |||||||
\(434\) | −7.81239 | + | 39.3583i | −0.375007 | + | 1.88926i | ||||
\(435\) | 2.07546 | + | 6.38760i | 0.0995105 | + | 0.306262i | ||||
\(436\) | −8.47384 | − | 0.660040i | −0.405823 | − | 0.0316102i | ||||
\(437\) | 2.41490 | + | 3.32383i | 0.115520 | + | 0.159000i | ||||
\(438\) | −1.47956 | − | 1.59929i | −0.0706963 | − | 0.0764171i | ||||
\(439\) | 31.4484 | 1.50095 | 0.750474 | − | 0.660900i | \(-0.229825\pi\) | ||||
0.750474 | + | 0.660900i | \(0.229825\pi\) | |||||||
\(440\) | −38.5197 | + | 9.97850i | −1.83635 | + | 0.475706i | ||||
\(441\) | 16.8726 | 0.803458 | ||||||||
\(442\) | 5.45623 | + | 5.89775i | 0.259526 | + | 0.280527i | ||||
\(443\) | −14.2270 | − | 19.5818i | −0.675944 | − | 0.930357i | 0.323932 | − | 0.946080i | \(-0.394995\pi\) |
−0.999876 | + | 0.0157229i | \(0.994995\pi\) | |||||||
\(444\) | −5.22394 | − | 0.406901i | −0.247917 | − | 0.0193107i | ||||
\(445\) | 9.26614 | + | 28.5182i | 0.439257 | + | 1.35189i | ||||
\(446\) | 3.31862 | − | 16.7190i | 0.157141 | − | 0.791668i | ||||
\(447\) | 5.66041 | + | 4.11253i | 0.267728 | + | 0.194516i | ||||
\(448\) | 22.0987 | − | 18.9666i | 1.04406 | − | 0.896087i | ||||
\(449\) | 1.27364 | − | 3.91987i | 0.0601069 | − | 0.184990i | −0.916495 | − | 0.400047i | \(-0.868994\pi\) |
0.976601 | + | 0.215057i | \(0.0689937\pi\) | |||||||
\(450\) | 24.2147 | − | 43.2793i | 1.14149 | − | 2.04020i | ||||
\(451\) | −13.1830 | − | 1.33815i | −0.620763 | − | 0.0630112i | ||||
\(452\) | 8.20133 | + | 13.3592i | 0.385758 | + | 0.628364i | ||||
\(453\) | 11.5227 | + | 3.74397i | 0.541386 | + | 0.175907i | ||||
\(454\) | −0.759633 | − | 6.39604i | −0.0356514 | − | 0.300181i | ||||
\(455\) | 9.07597 | − | 12.4920i | 0.425488 | − | 0.585634i | ||||
\(456\) | −4.87078 | + | 1.80361i | −0.228095 | + | 0.0844619i | ||||
\(457\) | −32.4331 | + | 10.5382i | −1.51716 | + | 0.492954i | −0.944966 | − | 0.327167i | \(-0.893906\pi\) |
−0.572190 | + | 0.820121i | \(0.693906\pi\) | |||||||
\(458\) | −15.1583 | + | 6.99546i | −0.708299 | + | 0.326876i | ||||
\(459\) | 14.3697 | − | 10.4402i | 0.670719 | − | 0.487306i | ||||
\(460\) | 2.43881 | + | 10.1225i | 0.113710 | + | 0.471963i | ||||
\(461\) | 11.8433i | 0.551596i | 0.961216 | + | 0.275798i | \(0.0889422\pi\) | ||||
−0.961216 | + | 0.275798i | \(0.911058\pi\) | |||||||
\(462\) | 0.159717 | + | 9.36520i | 0.00743072 | + | 0.435708i | ||||
\(463\) | 11.9935i | 0.557386i | 0.960380 | + | 0.278693i | \(0.0899012\pi\) | ||||
−0.960380 | + | 0.278693i | \(0.910099\pi\) | |||||||
\(464\) | −8.15062 | + | 8.17692i | −0.378383 | + | 0.379604i | ||||
\(465\) | 14.6733 | − | 10.6607i | 0.680456 | − | 0.494380i | ||||
\(466\) | −9.70535 | − | 21.0303i | −0.449592 | − | 0.974208i | ||||
\(467\) | −33.3424 | + | 10.8336i | −1.54290 | + | 0.501320i | −0.952176 | − | 0.305551i | \(-0.901159\pi\) |
−0.590728 | + | 0.806871i | \(0.701159\pi\) | |||||||
\(468\) | −4.10759 | − | 3.50249i | −0.189873 | − | 0.161903i | ||||
\(469\) | −15.3826 | + | 21.1723i | −0.710303 | + | 0.977648i | ||||
\(470\) | −69.9405 | + | 8.30656i | −3.22611 | + | 0.383153i | ||||
\(471\) | −6.84885 | − | 2.22533i | −0.315578 | − | 0.102538i | ||||
\(472\) | 0.400319 | + | 9.88444i | 0.0184262 | + | 0.454968i | ||||
\(473\) | −4.63095 | + | 5.18016i | −0.212931 | + | 0.238184i | ||||
\(474\) | 4.01231 | + | 2.24488i | 0.184291 | + | 0.103111i | ||||
\(475\) | 13.4397 | − | 41.3632i | 0.616656 | − | 1.89787i | ||||
\(476\) | −15.7979 | + | 38.2266i | −0.724097 | + | 1.75211i | ||||
\(477\) | −21.2071 | − | 15.4079i | −0.971008 | − | 0.705479i | ||||
\(478\) | −15.5991 | − | 3.09633i | −0.713487 | − | 0.141623i | ||||
\(479\) | 2.60582 | + | 8.01990i | 0.119063 | + | 0.366439i | 0.992773 | − | 0.120009i | \(-0.0382924\pi\) |
−0.873710 | + | 0.486448i | \(0.838292\pi\) | |||||||
\(480\) | −13.1540 | − | 0.490304i | −0.600396 | − | 0.0223792i | ||||
\(481\) | −2.80712 | − | 3.86367i | −0.127994 | − | 0.176168i | ||||
\(482\) | −3.50947 | + | 3.24674i | −0.159852 | + | 0.147885i | ||||
\(483\) | 2.45094 | 0.111522 | ||||||||
\(484\) | 21.9872 | − | 0.750173i | 0.999418 | − | 0.0340988i | ||||
\(485\) | −59.8989 | −2.71987 | ||||||||
\(486\) | −13.3710 | + | 12.3700i | −0.606522 | + | 0.561116i | ||||
\(487\) | 3.50978 | + | 4.83080i | 0.159043 | + | 0.218904i | 0.881101 | − | 0.472929i | \(-0.156803\pi\) |
−0.722057 | + | 0.691833i | \(0.756803\pi\) | |||||||
\(488\) | 6.96018 | − | 10.4439i | 0.315072 | − | 0.472774i | ||||
\(489\) | −1.27896 | − | 3.93624i | −0.0578367 | − | 0.178003i | ||||
\(490\) | 36.7823 | + | 7.30106i | 1.66166 | + | 0.329828i | ||||
\(491\) | −5.52586 | − | 4.01477i | −0.249378 | − | 0.181184i | 0.456073 | − | 0.889942i | \(-0.349256\pi\) |
−0.705451 | + | 0.708758i | \(0.749256\pi\) | |||||||
\(492\) | −4.05110 | − | 1.67420i | −0.182638 | − | 0.0754788i | ||||
\(493\) | 5.06728 | − | 15.5955i | 0.228219 | − | 0.702386i | ||||
\(494\) | −4.13136 | − | 2.31149i | −0.185879 | − | 0.103999i | ||||
\(495\) | −25.3071 | + | 28.3084i | −1.13747 | + | 1.27237i | ||||
\(496\) | 27.8023 | + | 14.1096i | 1.24836 | + | 0.633541i | ||||
\(497\) | 33.2810 | + | 10.8136i | 1.49286 | + | 0.485058i | ||||
\(498\) | 5.05221 | − | 0.600031i | 0.226395 | − | 0.0268880i | ||||
\(499\) | 19.4132 | − | 26.7200i | 0.869055 | − | 1.19615i | −0.110279 | − | 0.993901i | \(-0.535174\pi\) |
0.979334 | − | 0.202251i | \(-0.0648257\pi\) | |||||||
\(500\) | 43.9936 | − | 51.5940i | 1.96745 | − | 2.30735i | ||||
\(501\) | 7.53597 | − | 2.44858i | 0.336682 | − | 0.109395i | ||||
\(502\) | −17.0954 | − | 37.0435i | −0.763004 | − | 1.65333i | ||||
\(503\) | 5.49554 | − | 3.99274i | 0.245034 | − | 0.178028i | −0.458489 | − | 0.888700i | \(-0.651609\pi\) |
0.703523 | + | 0.710672i | \(0.251609\pi\) | |||||||
\(504\) | 7.51099 | − | 26.7556i | 0.334566 | − | 1.19179i | ||||
\(505\) | − | 28.7971i | − | 1.28145i | ||||||
\(506\) | −0.0981629 | − | 5.75589i | −0.00436387 | − | 0.255880i | ||||
\(507\) | 0.548580i | 0.0243633i | ||||||||
\(508\) | 0.197891 | − | 0.0476780i | 0.00878000 | − | 0.00211537i | ||||
\(509\) | −7.81821 | + | 5.68026i | −0.346536 | + | 0.251773i | −0.747414 | − | 0.664358i | \(-0.768705\pi\) |
0.400878 | + | 0.916131i | \(0.368705\pi\) | |||||||
\(510\) | 16.9754 | − | 7.83405i | 0.751683 | − | 0.346898i | ||||
\(511\) | 9.72262 | − | 3.15907i | 0.430103 | − | 0.139749i | ||||
\(512\) | −9.54759 | − | 20.5145i | −0.421948 | − | 0.906620i | ||||
\(513\) | −6.15146 | + | 8.46676i | −0.271594 | + | 0.373816i | ||||
\(514\) | −2.02754 | − | 17.0717i | −0.0894308 | − | 0.753000i | ||||
\(515\) | −27.2088 | − | 8.84069i | −1.19896 | − | 0.389567i | ||||
\(516\) | −1.95888 | + | 1.20257i | −0.0862347 | + | 0.0529402i | ||||
\(517\) | 38.7418 | + | 3.93254i | 1.70386 | + | 0.172953i | ||||
\(518\) | 12.0046 | − | 21.4560i | 0.527450 | − | 0.942721i | ||||
\(519\) | −1.70407 | + | 5.24457i | −0.0748002 | + | 0.230211i | ||||
\(520\) | −7.43894 | − | 9.41285i | −0.326219 | − | 0.412781i | ||||
\(521\) | 3.58687 | + | 2.60601i | 0.157143 | + | 0.114171i | 0.663578 | − | 0.748107i | \(-0.269037\pi\) |
−0.506435 | + | 0.862278i | \(0.669037\pi\) | |||||||
\(522\) | −2.14501 | + | 10.8064i | −0.0938846 | + | 0.472985i | ||||
\(523\) | 6.53482 | + | 20.1121i | 0.285748 | + | 0.879442i | 0.986173 | + | 0.165716i | \(0.0529936\pi\) |
−0.700426 | + | 0.713725i | \(0.747006\pi\) | |||||||
\(524\) | 1.71434 | − | 22.0093i | 0.0748911 | − | 0.961479i | ||||
\(525\) | −15.2503 | − | 20.9902i | −0.665578 | − | 0.916089i | ||||
\(526\) | 0.205881 | + | 0.222541i | 0.00897682 | + | 0.00970323i | ||||
\(527\) | −44.2823 | −1.92897 | ||||||||
\(528\) | 7.03939 | + | 1.84724i | 0.306350 | + | 0.0803909i | ||||
\(529\) | 21.4936 | 0.934506 | ||||||||
\(530\) | −39.5643 | − | 42.7659i | −1.71856 | − | 1.85763i | ||||
\(531\) | 5.54874 | + | 7.63718i | 0.240795 | + | 0.331426i | ||||
\(532\) | 1.89257 | − | 24.2975i | 0.0820534 | − | 1.05343i | ||||
\(533\) | −1.23460 | − | 3.79971i | −0.0534764 | − | 0.164583i | ||||
\(534\) | 1.06778 | − | 5.37941i | 0.0462073 | − | 0.232790i | ||||
\(535\) | 21.1602 | + | 15.3738i | 0.914833 | + | 0.664665i | ||||
\(536\) | 12.6081 | + | 15.9536i | 0.544585 | + | 0.689090i | ||||
\(537\) | 0.837900 | − | 2.57879i | 0.0361581 | − | 0.111283i | ||||
\(538\) | 17.5366 | − | 31.3434i | 0.756055 | − | 1.35131i | ||||
\(539\) | −18.9706 | − | 8.36547i | −0.817123 | − | 0.360326i | ||||
\(540\) | −22.6032 | + | 13.8763i | −0.972685 | + | 0.597140i | ||||
\(541\) | −3.92575 | − | 1.27555i | −0.168781 | − | 0.0548403i | 0.223407 | − | 0.974725i | \(-0.428282\pi\) |
−0.392189 | + | 0.919885i | \(0.628282\pi\) | |||||||
\(542\) | 3.49355 | + | 29.4154i | 0.150061 | + | 1.26350i | ||||
\(543\) | 3.44339 | − | 4.73942i | 0.147770 | − | 0.203388i | ||||
\(544\) | 25.2787 | + | 19.8457i | 1.08381 | + | 0.850878i | ||||
\(545\) | −17.1441 | + | 5.57046i | −0.734373 | + | 0.238612i | ||||
\(546\) | −2.56423 | + | 1.18338i | −0.109739 | + | 0.0506440i | ||||
\(547\) | 10.4214 | − | 7.57161i | 0.445588 | − | 0.323739i | −0.342263 | − | 0.939604i | \(-0.611193\pi\) |
0.787851 | + | 0.615865i | \(0.211193\pi\) | |||||||
\(548\) | 27.6009 | − | 6.64990i | 1.17905 | − | 0.284070i | ||||
\(549\) | − | 11.9766i | − | 0.511150i | ||||||
\(550\) | −48.6835 | + | 36.6551i | −2.07587 | + | 1.56298i | ||||
\(551\) | 9.66191i | 0.411611i | ||||||||
\(552\) | 0.514706 | − | 1.83348i | 0.0219073 | − | 0.0780382i | ||||
\(553\) | −17.4528 | + | 12.6802i | −0.742168 | + | 0.539217i | ||||
\(554\) | 11.5277 | + | 24.9791i | 0.489767 | + | 1.06126i | ||||
\(555\) | −10.5690 | + | 3.43407i | −0.448629 | + | 0.145768i | ||||
\(556\) | −20.2211 | + | 23.7145i | −0.857566 | + | 1.00572i | ||||
\(557\) | 16.0934 | − | 22.1506i | 0.681898 | − | 0.938551i | −0.318057 | − | 0.948072i | \(-0.603030\pi\) |
0.999955 | + | 0.00952007i | \(0.00303038\pi\) | |||||||
\(558\) | 29.5441 | − | 3.50883i | 1.25070 | − | 0.148541i | ||||
\(559\) | −1.99247 | − | 0.647393i | −0.0842726 | − | 0.0273818i | ||||
\(560\) | 27.9515 | − | 55.0771i | 1.18117 | − | 2.32743i | ||||
\(561\) | −10.1031 | + | 2.18510i | −0.426554 | + | 0.0922552i | ||||
\(562\) | 12.5145 | + | 7.00184i | 0.527892 | + | 0.295355i | ||||
\(563\) | −0.385451 | + | 1.18630i | −0.0162448 | + | 0.0499965i | −0.958850 | − | 0.283912i | \(-0.908368\pi\) |
0.942606 | + | 0.333908i | \(0.108368\pi\) | |||||||
\(564\) | 11.9053 | + | 4.92010i | 0.501303 | + | 0.207174i | ||||
\(565\) | 26.8969 | + | 19.5417i | 1.13156 | + | 0.822127i | ||||
\(566\) | 31.8500 | + | 6.32203i | 1.33876 | + | 0.265735i | ||||
\(567\) | −7.17920 | − | 22.0953i | −0.301498 | − | 0.927915i | ||||
\(568\) | 15.0785 | − | 22.6257i | 0.632680 | − | 0.949353i | ||||
\(569\) | 20.2629 | + | 27.8894i | 0.849463 | + | 1.16919i | 0.983981 | + | 0.178274i | \(0.0570514\pi\) |
−0.134518 | + | 0.990911i | \(0.542949\pi\) | |||||||
\(570\) | −8.08614 | + | 7.48079i | −0.338691 | + | 0.313336i | ||||
\(571\) | 5.16766 | 0.216260 | 0.108130 | − | 0.994137i | \(-0.465514\pi\) | ||||
0.108130 | + | 0.994137i | \(0.465514\pi\) | |||||||
\(572\) | 2.88180 | + | 5.97455i | 0.120494 | + | 0.249809i | ||||
\(573\) | −5.69754 | −0.238018 | ||||||||
\(574\) | 15.0978 | − | 13.9675i | 0.630169 | − | 0.582993i | ||||
\(575\) | 9.37289 | + | 12.9007i | 0.390877 | + | 0.537996i | ||||
\(576\) | −18.4378 | − | 11.2375i | −0.768242 | − | 0.468231i | ||||
\(577\) | 2.77572 | + | 8.54277i | 0.115555 | + | 0.355640i | 0.992062 | − | 0.125747i | \(-0.0401329\pi\) |
−0.876508 | + | 0.481388i | \(0.840133\pi\) | |||||||
\(578\) | −21.1915 | − | 4.20637i | −0.881448 | − | 0.174962i | ||||
\(579\) | −5.47193 | − | 3.97559i | −0.227406 | − | 0.165220i | ||||
\(580\) | −9.35225 | + | 22.6298i | −0.388331 | + | 0.939653i | ||||
\(581\) | −7.37700 | + | 22.7041i | −0.306049 | + | 0.941923i | ||||
\(582\) | 9.56070 | + | 5.34920i | 0.396304 | + | 0.221731i | ||||
\(583\) | 16.2049 | + | 27.8383i | 0.671137 | + | 1.15294i | ||||
\(584\) | −0.321433 | − | 7.93664i | −0.0133010 | − | 0.328421i | ||||
\(585\) | −10.8884 | − | 3.53786i | −0.450180 | − | 0.146272i | ||||
\(586\) | −16.7633 | + | 1.99091i | −0.692484 | + | 0.0822437i | ||||
\(587\) | 18.7429 | − | 25.7974i | 0.773604 | − | 1.06477i | −0.222355 | − | 0.974966i | \(-0.571374\pi\) |
0.995959 | − | 0.0898085i | \(-0.0286255\pi\) | |||||||
\(588\) | −5.21896 | − | 4.45015i | −0.215226 | − | 0.183521i | ||||
\(589\) | 24.8146 | − | 8.06275i | 1.02247 | − | 0.332220i | ||||
\(590\) | 8.79151 | + | 19.0501i | 0.361941 | + | 0.784279i | ||||
\(591\) | 1.95090 | − | 1.41742i | 0.0802495 | − | 0.0583047i | ||||
\(592\) | −13.5296 | − | 13.4861i | −0.556064 | − | 0.554276i | ||||
\(593\) | 44.0620i | 1.80941i | 0.426039 | + | 0.904705i | \(0.359909\pi\) | ||||
−0.426039 | + | 0.904705i | \(0.640091\pi\) | |||||||
\(594\) | 13.8671 | − | 4.76860i | 0.568972 | − | 0.195658i | ||||
\(595\) | 87.7245i | 3.59635i | ||||||||
\(596\) | 5.97476 | + | 24.7987i | 0.244736 | + | 1.01579i | ||||
\(597\) | 9.29104 | − | 6.75033i | 0.380257 | − | 0.276273i | ||||
\(598\) | 1.57599 | − | 0.727310i | 0.0644469 | − | 0.0297419i | ||||
\(599\) | −20.4835 | + | 6.65550i | −0.836934 | + | 0.271936i | −0.695963 | − | 0.718077i | \(-0.745022\pi\) |
−0.140971 | + | 0.990014i | \(0.545022\pi\) | |||||||
\(600\) | −18.9048 | + | 7.00032i | −0.771787 | + | 0.285787i | ||||
\(601\) | −23.8268 | + | 32.7947i | −0.971915 | + | 1.33773i | −0.0308409 | + | 0.999524i | \(0.509819\pi\) |
−0.941074 | + | 0.338201i | \(0.890181\pi\) | |||||||
\(602\) | −1.27198 | − | 10.7100i | −0.0518421 | − | 0.436506i | ||||
\(603\) | 18.4545 | + | 5.99621i | 0.751523 | + | 0.244185i | ||||
\(604\) | 23.1098 | + | 37.6436i | 0.940323 | + | 1.53170i | ||||
\(605\) | 42.4891 | − | 19.2810i | 1.72743 | − | 0.783886i | ||||
\(606\) | −2.57169 | + | 4.59642i | −0.104468 | + | 0.186717i | ||||
\(607\) | 11.6316 | − | 35.7983i | 0.472112 | − | 1.45301i | −0.377702 | − | 0.925927i | \(-0.623286\pi\) |
0.849814 | − | 0.527083i | \(-0.176714\pi\) | |||||||
\(608\) | −17.7789 | − | 6.51835i | −0.721029 | − | 0.264354i | ||||
\(609\) | 4.66308 | + | 3.38793i | 0.188958 | + | 0.137286i | ||||
\(610\) | 5.18249 | − | 26.1091i | 0.209833 | − | 1.05712i | ||||
\(611\) | 3.62821 | + | 11.1665i | 0.146782 | + | 0.451747i | ||||
\(612\) | 30.5756 | + | 2.38158i | 1.23595 | + | 0.0962698i | ||||
\(613\) | −11.0390 | − | 15.1939i | −0.445862 | − | 0.613676i | 0.525640 | − | 0.850707i | \(-0.323826\pi\) |
−0.971502 | + | 0.237031i | \(0.923826\pi\) | |||||||
\(614\) | −28.7404 | − | 31.0661i | −1.15987 | − | 1.25372i | ||||
\(615\) | −9.29669 | −0.374879 | ||||||||
\(616\) | −21.7104 | + | 26.3585i | −0.874737 | + | 1.06202i | ||||
\(617\) | −31.2354 | −1.25749 | −0.628746 | − | 0.777611i | \(-0.716431\pi\) | ||||
−0.628746 | + | 0.777611i | \(0.716431\pi\) | |||||||
\(618\) | 3.55340 | + | 3.84095i | 0.142939 | + | 0.154506i | ||||
\(619\) | −0.320881 | − | 0.441655i | −0.0128973 | − | 0.0177516i | 0.802520 | − | 0.596626i | \(-0.203492\pi\) |
−0.815417 | + | 0.578874i | \(0.803492\pi\) | |||||||
\(620\) | 65.9243 | + | 5.13495i | 2.64758 | + | 0.206224i | ||||
\(621\) | −1.18574 | − | 3.64933i | −0.0475821 | − | 0.146443i | ||||
\(622\) | 0.456884 | − | 2.30175i | 0.0183194 | − | 0.0922919i | ||||
\(623\) | 20.8189 | + | 15.1258i | 0.834092 | + | 0.606003i | ||||
\(624\) | 0.346757 | + | 2.16675i | 0.0138814 | + | 0.0867393i | ||||
\(625\) | 24.3634 | − | 74.9827i | 0.974535 | − | 2.99931i | ||||
\(626\) | −13.6285 | + | 24.3585i | −0.544705 | + | 0.973560i | ||||
\(627\) | 5.26365 | − | 3.06401i | 0.210210 | − | 0.122365i | ||||
\(628\) | −13.7359 | − | 22.3745i | −0.548122 | − | 0.892839i | ||||
\(629\) | 25.8045 | + | 8.38438i | 1.02889 | + | 0.334307i | ||||
\(630\) | −6.95109 | − | 58.5276i | −0.276938 | − | 2.33179i | ||||
\(631\) | 12.2376 | − | 16.8437i | 0.487173 | − | 0.670536i | −0.492691 | − | 0.870205i | \(-0.663987\pi\) |
0.979863 | + | 0.199669i | \(0.0639866\pi\) | |||||||
\(632\) | 5.82057 | + | 15.7189i | 0.231530 | + | 0.625262i | ||||
\(633\) | 12.0467 | − | 3.91421i | 0.478813 | − | 0.155576i | ||||
\(634\) | −0.533803 | + | 0.246347i | −0.0212000 | + | 0.00978370i | ||||
\(635\) | 0.349262 | − | 0.253754i | 0.0138600 | − | 0.0100699i | ||||
\(636\) | 2.49586 | + | 10.3593i | 0.0989674 | + | 0.410772i | ||||
\(637\) | − | 6.25130i | − | 0.247685i | ||||||
\(638\) | 7.76958 | − | 11.0867i | 0.307601 | − | 0.438925i | ||||
\(639\) | − | 25.9462i | − | 1.02641i | ||||||
\(640\) | −35.3318 | − | 32.4762i | −1.39661 | − | 1.28373i | ||||
\(641\) | −33.7489 | + | 24.5200i | −1.33300 | + | 0.968481i | −0.333330 | + | 0.942810i | \(0.608172\pi\) |
−0.999670 | + | 0.0256711i | \(0.991828\pi\) | |||||||
\(642\) | −2.00452 | − | 4.34354i | −0.0791122 | − | 0.171426i | ||||
\(643\) | −21.0965 | + | 6.85465i | −0.831963 | + | 0.270321i | −0.693872 | − | 0.720098i | \(-0.744097\pi\) |
−0.138091 | + | 0.990420i | \(0.544097\pi\) | |||||||
\(644\) | 6.79935 | + | 5.79773i | 0.267932 | + | 0.228462i | ||||
\(645\) | −2.86543 | + | 3.94392i | −0.112826 | + | 0.155292i | ||||
\(646\) | 26.7077 | − | 3.17197i | 1.05080 | − | 0.124799i | ||||
\(647\) | −2.82917 | − | 0.919253i | −0.111226 | − | 0.0361396i | 0.252875 | − | 0.967499i | \(-0.418624\pi\) |
−0.364101 | + | 0.931359i | \(0.618624\pi\) | |||||||
\(648\) | −18.0365 | + | 0.730478i | −0.708542 | + | 0.0286959i | ||||
\(649\) | −2.45216 | − | 11.3379i | −0.0962558 | − | 0.445051i | ||||
\(650\) | −16.0349 | − | 8.97152i | −0.628942 | − | 0.351892i | ||||
\(651\) | 4.80989 | − | 14.8033i | 0.188514 | − | 0.580188i | ||||
\(652\) | 5.76315 | − | 13.9452i | 0.225702 | − | 0.546137i | ||||
\(653\) | −2.15397 | − | 1.56495i | −0.0842914 | − | 0.0612413i | 0.544841 | − | 0.838539i | \(-0.316590\pi\) |
−0.629133 | + | 0.777298i | \(0.716590\pi\) | |||||||
\(654\) | 3.23390 | + | 0.641910i | 0.126456 | + | 0.0251007i | ||||
\(655\) | −14.4683 | − | 44.5288i | −0.565322 | − | 1.73988i | ||||
\(656\) | −7.27814 | − | 14.2275i | −0.284164 | − | 0.555489i | ||||
\(657\) | −4.45532 | − | 6.13222i | −0.173819 | − | 0.239241i | ||||
\(658\) | −44.3690 | + | 41.0474i | −1.72968 | + | 1.60019i | ||||
\(659\) | −4.49533 | −0.175113 | −0.0875566 | − | 0.996160i | \(-0.527906\pi\) | ||||
−0.0875566 | + | 0.996160i | \(0.527906\pi\) | |||||||
\(660\) | 15.2942 | − | 2.08148i | 0.595325 | − | 0.0810214i | ||||
\(661\) | 23.1902 | 0.901994 | 0.450997 | − | 0.892525i | \(-0.351068\pi\) | ||||
0.450997 | + | 0.892525i | \(0.351068\pi\) | |||||||
\(662\) | 16.9687 | − | 15.6984i | 0.659506 | − | 0.610134i | ||||
\(663\) | −1.83191 | − | 2.52141i | −0.0711456 | − | 0.0979235i | ||||
\(664\) | 15.4351 | + | 10.2865i | 0.598998 | + | 0.399192i | ||||
\(665\) | −15.9725 | − | 49.1583i | −0.619388 | − | 1.90628i | ||||
\(666\) | −17.8805 | − | 3.54916i | −0.692854 | − | 0.137527i | ||||
\(667\) | −2.86595 | − | 2.08223i | −0.110970 | − | 0.0806243i | ||||
\(668\) | 26.6983 | + | 11.0336i | 1.03299 | + | 0.426903i | ||||
\(669\) | −2.04319 | + | 6.28829i | −0.0789943 | + | 0.243119i | ||||
\(670\) | 37.6360 | + | 21.0573i | 1.45401 | + | 0.813514i | ||||
\(671\) | −5.93803 | + | 13.4659i | −0.229235 | + | 0.519844i | ||||
\(672\) | −9.38004 | + | 6.29489i | −0.361843 | + | 0.242831i | ||||
\(673\) | 19.9748 | + | 6.49020i | 0.769971 | + | 0.250179i | 0.667553 | − | 0.744563i | \(-0.267342\pi\) |
0.102419 | + | 0.994741i | \(0.467342\pi\) | |||||||
\(674\) | 2.09112 | − | 0.248354i | 0.0805469 | − | 0.00956624i | ||||
\(675\) | −23.8755 | + | 32.8618i | −0.918969 | + | 1.26485i | ||||
\(676\) | −1.29767 | + | 1.52186i | −0.0499104 | + | 0.0585330i | ||||
\(677\) | −1.14364 | + | 0.371592i | −0.0439537 | + | 0.0142814i | −0.330911 | − | 0.943662i | \(-0.607356\pi\) |
0.286958 | + | 0.957943i | \(0.407356\pi\) | |||||||
\(678\) | −2.54797 | − | 5.52112i | −0.0978542 | − | 0.212038i | ||||
\(679\) | −41.5873 | + | 30.2149i | −1.59597 | + | 1.15954i | ||||
\(680\) | 65.6243 | + | 18.4224i | 2.51658 | + | 0.706468i | ||||
\(681\) | 2.49849i | 0.0957424i | ||||||||
\(682\) | −34.9573 | − | 10.7028i | −1.33859 | − | 0.409833i | ||||
\(683\) | 18.6690i | 0.714348i | 0.934038 | + | 0.357174i | \(0.116260\pi\) | ||||
−0.934038 | + | 0.357174i | \(0.883740\pi\) | |||||||
\(684\) | −17.5674 | + | 4.23252i | −0.671705 | + | 0.161834i | ||||
\(685\) | 48.7134 | − | 35.3924i | 1.86124 | − | 1.35227i | ||||
\(686\) | −3.49968 | + | 1.61508i | −0.133618 | + | 0.0616641i | ||||
\(687\) | 6.15895 | − | 2.00117i | 0.234979 | − | 0.0763492i | ||||
\(688\) | −8.27897 | − | 1.29760i | −0.315633 | − | 0.0494704i | ||||
\(689\) | −5.70861 | + | 7.85723i | −0.217481 | + | 0.299337i | ||||
\(690\) | −0.476337 | − | 4.01072i | −0.0181339 | − | 0.152685i | ||||
\(691\) | −31.8297 | − | 10.3421i | −1.21086 | − | 0.393432i | −0.367113 | − | 0.930176i | \(-0.619654\pi\) |
−0.843745 | + | 0.536745i | \(0.819654\pi\) | |||||||
\(692\) | −17.1335 | + | 10.5184i | −0.651317 | + | 0.399849i | ||||
\(693\) | −3.29082 | + | 32.4199i | −0.125008 | + | 1.23153i | ||||
\(694\) | −5.83940 | + | 10.4369i | −0.221661 | + | 0.396178i | ||||
\(695\) | −20.4253 | + | 62.8625i | −0.774775 | + | 2.38451i | ||||
\(696\) | 3.51368 | − | 2.77685i | 0.133186 | − | 0.105256i | ||||
\(697\) | 18.3632 | + | 13.3416i | 0.695554 | + | 0.505350i | ||||
\(698\) | −0.806389 | + | 4.06254i | −0.0305223 | + | 0.153769i | ||||
\(699\) | 2.77637 | + | 8.54480i | 0.105012 | + | 0.323194i | ||||
\(700\) | 7.34560 | − | 94.3054i | 0.277637 | − | 3.56441i | ||||
\(701\) | 0.424114 | + | 0.583743i | 0.0160186 | + | 0.0220477i | 0.816951 | − | 0.576707i | \(-0.195663\pi\) |
−0.800933 | + | 0.598755i | \(0.795663\pi\) | |||||||
\(702\) | 3.00254 | + | 3.24551i | 0.113324 | + | 0.122494i | ||||
\(703\) | −15.9867 | −0.602950 | ||||||||
\(704\) | 15.1589 | + | 21.7763i | 0.571321 | + | 0.820727i | ||||
\(705\) | 27.3209 | 1.02896 | ||||||||
\(706\) | 0.798894 | + | 0.863541i | 0.0300668 | + | 0.0324998i | ||||
\(707\) | −14.5262 | − | 19.9936i | −0.546313 | − | 0.751936i | ||||
\(708\) | 0.297995 | − | 3.82577i | 0.0111993 | − | 0.143781i | ||||
\(709\) | −0.0721489 | − | 0.222051i | −0.00270961 | − | 0.00833932i | 0.949693 | − | 0.313184i | \(-0.101396\pi\) |
−0.952402 | + | 0.304844i | \(0.901396\pi\) | |||||||
\(710\) | 11.2273 | − | 56.5626i | 0.421354 | − | 2.12276i | ||||
\(711\) | 12.9404 | + | 9.40177i | 0.485304 | + | 0.352594i | ||||
\(712\) | 15.6873 | − | 12.3976i | 0.587905 | − | 0.464619i | ||||
\(713\) | −2.95618 | + | 9.09818i | −0.110710 | + | 0.340729i | ||||
\(714\) | 7.83412 | − | 14.0020i | 0.293184 | − | 0.524013i | ||||
\(715\) | 10.4882 | + | 9.37625i | 0.392238 | + | 0.350652i | ||||
\(716\) | 8.42464 | − | 5.17196i | 0.314844 | − | 0.193285i | ||||
\(717\) | 5.86709 | + | 1.90633i | 0.219110 | + | 0.0711933i | ||||
\(718\) | 1.35228 | + | 11.3861i | 0.0504666 | + | 0.424925i | ||||
\(719\) | −23.9085 | + | 32.9072i | −0.891635 | + | 1.22723i | 0.0814249 | + | 0.996679i | \(0.474053\pi\) |
−0.973060 | + | 0.230551i | \(0.925947\pi\) | |||||||
\(720\) | −45.2426 | − | 7.09106i | −1.68609 | − | 0.264268i | ||||
\(721\) | −23.3504 | + | 7.58700i | −0.869614 | + | 0.282555i | ||||
\(722\) | 10.0086 | − | 4.61892i | 0.372482 | − | 0.171899i | ||||
\(723\) | 1.50037 | − | 1.09008i | 0.0557993 | − | 0.0405406i | ||||
\(724\) | 20.7637 | − | 5.00262i | 0.771679 | − | 0.185921i | ||||
\(725\) | 37.5005i | 1.39274i | ||||||||
\(726\) | −8.50373 | − | 0.716914i | −0.315603 | − | 0.0266072i | ||||
\(727\) | − | 14.7628i | − | 0.547521i | −0.961798 | − | 0.273761i | \(-0.911732\pi\) | ||
0.961798 | − | 0.273761i | \(-0.0882676\pi\) | |||||||
\(728\) | −9.91294 | − | 2.78282i | −0.367398 | − | 0.103138i | ||||
\(729\) | −9.77332 | + | 7.10073i | −0.361975 | + | 0.262990i | ||||
\(730\) | −7.05908 | − | 15.2961i | −0.261268 | − | 0.566135i | ||||
\(731\) | 11.3198 | − | 3.67802i | 0.418678 | − | 0.136037i | ||||
\(732\) | −3.15883 | + | 3.70455i | −0.116754 | + | 0.136924i | ||||
\(733\) | −14.3462 | + | 19.7458i | −0.529888 | + | 0.729329i | −0.987113 | − | 0.160022i | \(-0.948843\pi\) |
0.457225 | + | 0.889351i | \(0.348843\pi\) | |||||||
\(734\) | 24.2891 | − | 2.88472i | 0.896526 | − | 0.106477i | ||||
\(735\) | −13.8344 | − | 4.49508i | −0.510291 | − | 0.165803i | ||||
\(736\) | 5.76501 | − | 3.86886i | 0.212501 | − | 0.142608i | ||||
\(737\) | −17.7762 | − | 15.8915i | −0.654795 | − | 0.585373i | ||||
\(738\) | −13.3086 | − | 7.44614i | −0.489896 | − | 0.274096i | ||||
\(739\) | −14.3857 | + | 44.2745i | −0.529186 | + | 1.62867i | 0.226702 | + | 0.973964i | \(0.427206\pi\) |
−0.755888 | + | 0.654701i | \(0.772794\pi\) | |||||||
\(740\) | −37.4436 | − | 15.4743i | −1.37645 | − | 0.568848i | ||||
\(741\) | 1.48564 | + | 1.07938i | 0.0545764 | + | 0.0396521i | ||||
\(742\) | −49.0416 | − | 9.73446i | −1.80037 | − | 0.357363i | ||||
\(743\) | −12.8650 | − | 39.5944i | −0.471972 | − | 1.45258i | −0.849999 | − | 0.526785i | \(-0.823397\pi\) |
0.378027 | − | 0.925794i | \(-0.376603\pi\) | |||||||
\(744\) | −10.0639 | − | 6.70689i | −0.368959 | − | 0.245887i | ||||
\(745\) | 31.7991 | + | 43.7677i | 1.16503 | + | 1.60352i | ||||
\(746\) | 4.99641 | − | 4.62236i | 0.182931 | − | 0.169237i | ||||
\(747\) | 17.7003 | 0.647620 | ||||||||
\(748\) | −33.1967 | − | 17.8372i | −1.21379 | − | 0.652191i | ||||
\(749\) | 22.4463 | 0.820171 | ||||||||
\(750\) | −19.3066 | + | 17.8612i | −0.704976 | + | 0.652200i | ||||
\(751\) | −28.5328 | − | 39.2720i | −1.04118 | − | 1.43306i | −0.896216 | − | 0.443618i | \(-0.853695\pi\) |
−0.144959 | − | 0.989438i | \(-0.546305\pi\) | |||||||
\(752\) | 21.3888 | + | 41.8113i | 0.779970 | + | 1.52470i | ||||
\(753\) | 4.89041 | + | 15.0511i | 0.178216 | + | 0.548494i | ||||
\(754\) | 4.00378 | + | 0.794726i | 0.145809 | + | 0.0289422i | ||||
\(755\) | 75.7902 | + | 55.0648i | 2.75829 | + | 2.00401i | ||||
\(756\) | −8.69354 | + | 21.0359i | −0.316181 | + | 0.765070i | ||||
\(757\) | 11.6409 | − | 35.8271i | 0.423097 | − | 1.30216i | −0.481708 | − | 0.876332i | \(-0.659984\pi\) |
0.904805 | − | 0.425826i | \(-0.140016\pi\) | |||||||
\(758\) | −3.32412 | − | 1.85984i | −0.120737 | − | 0.0675523i | ||||
\(759\) | −0.225510 | + | 2.22164i | −0.00818550 | + | 0.0806405i | ||||
\(760\) | −40.1283 | + | 1.62519i | −1.45561 | + | 0.0589519i | ||||
\(761\) | −3.31391 | − | 1.07676i | −0.120129 | − | 0.0390323i | 0.248335 | − | 0.968674i | \(-0.420116\pi\) |
−0.368465 | + | 0.929642i | \(0.620116\pi\) | |||||||
\(762\) | −0.0784083 | + | 0.00931224i | −0.00284043 | + | 0.000337347i | ||||
\(763\) | −9.09309 | + | 12.5156i | −0.329192 | + | 0.453094i | ||||
\(764\) | −15.8060 | − | 13.4776i | −0.571841 | − | 0.487602i | ||||
\(765\) | 61.8601 | − | 20.0996i | 2.23656 | − | 0.726701i | ||||
\(766\) | 3.24020 | + | 7.02109i | 0.117073 | + | 0.253682i | ||||
\(767\) | 2.82957 | − | 2.05580i | 0.102170 | − | 0.0742308i | ||||
\(768\) | 2.73920 | + | 8.33890i | 0.0988424 | + | 0.300904i | ||||
\(769\) | − | 32.2705i | − | 1.16370i | −0.813295 | − | 0.581852i | \(-0.802328\pi\) | ||
0.813295 | − | 0.581852i | \(-0.197672\pi\) | |||||||
\(770\) | −21.2026 | + | 69.2514i | −0.764090 | + | 2.49565i | ||||
\(771\) | 6.66872i | 0.240168i | ||||||||
\(772\) | −5.77581 | − | 23.9729i | −0.207876 | − | 0.862804i | ||||
\(773\) | −40.7328 | + | 29.5941i | −1.46506 | + | 1.06443i | −0.483046 | + | 0.875595i | \(0.660470\pi\) |
−0.982010 | + | 0.188830i | \(0.939530\pi\) | |||||||
\(774\) | −7.26085 | + | 3.35084i | −0.260986 | + | 0.120444i | ||||
\(775\) | 96.3122 | − | 31.2937i | 3.45964 | − | 1.12410i | ||||
\(776\) | 13.8695 | + | 37.4556i | 0.497886 | + | 1.34458i | ||||
\(777\) | −5.60570 | + | 7.71558i | −0.201103 | + | 0.276795i | ||||
\(778\) | −1.90498 | − | 16.0398i | −0.0682970 | − | 0.575055i | ||||
\(779\) | −12.7194 | − | 4.13278i | −0.455720 | − | 0.148072i | ||||
\(780\) | 2.43484 | + | 3.96612i | 0.0871812 | + | 0.142010i | ||||
\(781\) | −12.8641 | + | 29.1724i | −0.460315 | + | 1.04387i | ||||
\(782\) | −4.81488 | + | 8.60571i | −0.172180 | + | 0.307740i | ||||
\(783\) | 2.78851 | − | 8.58214i | 0.0996531 | − | 0.306701i | ||||
\(784\) | −3.95144 | − | 24.6910i | −0.141123 | − | 0.881821i | ||||
\(785\) | −45.0479 | − | 32.7292i | −1.60783 | − | 1.16816i | ||||
\(786\) | −1.66724 | + | 8.39948i | −0.0594686 | + | 0.299599i | ||||
\(787\) | 6.37177 | + | 19.6103i | 0.227129 | + | 0.699031i | 0.998069 | + | 0.0621230i | \(0.0197871\pi\) |
−0.770939 | + | 0.636908i | \(0.780213\pi\) | |||||||
\(788\) | 8.76507 | + | 0.682725i | 0.312243 | + | 0.0243211i | ||||
\(789\) | −0.0691237 | − | 0.0951407i | −0.00246087 | − | 0.00338710i | ||||
\(790\) | 24.1418 | + | 26.0954i | 0.858927 | + | 0.928432i | ||||
\(791\) | 28.5318 | 1.01447 | ||||||||
\(792\) | 23.5614 | + | 9.27007i | 0.837218 | + | 0.329398i | ||||
\(793\) | −4.43734 | −0.157574 | ||||||||
\(794\) | 32.4744 | + | 35.1022i | 1.15247 | + | 1.24573i | ||||
\(795\) | 13.2836 | + | 18.2833i | 0.471120 | + | 0.648441i | ||||
\(796\) | 41.7430 | + | 3.25142i | 1.47954 | + | 0.115244i | ||||
\(797\) | −13.1704 | − | 40.5342i | −0.466518 | − | 1.43579i | −0.857063 | − | 0.515211i | \(-0.827714\pi\) |
0.390546 | − | 0.920584i | \(-0.372286\pi\) | |||||||
\(798\) | −1.84059 | + | 9.27276i | −0.0651560 | + | 0.328252i | ||||
\(799\) | −53.9652 | − | 39.2080i | −1.90915 | − | 1.38708i | ||||
\(800\) | −69.0048 | − | 25.2995i | −2.43969 | − | 0.894472i | ||||
\(801\) | 5.89612 | − | 18.1464i | 0.208329 | − | 0.641171i | ||||
\(802\) | −13.6312 | + | 24.3632i | −0.481333 | + | 0.860294i | ||||
\(803\) | 1.96895 | + | 9.10368i | 0.0694826 | + | 0.321262i | ||||
\(804\) | −4.12674 | − | 6.72207i | −0.145539 | − | 0.237069i | ||||
\(805\) | 18.0237 | + | 5.85626i | 0.635253 | + | 0.206406i | ||||
\(806\) | −1.30002 | − | 10.9461i | −0.0457912 | − | 0.385558i | ||||
\(807\) | −8.18894 | + | 11.2711i | −0.288264 | + | 0.396762i | ||||
\(808\) | −18.0072 | + | 6.66793i | −0.633491 | + | 0.234577i | ||||
\(809\) | 6.26562 | − | 2.03582i | 0.220288 | − | 0.0715758i | −0.196794 | − | 0.980445i | \(-0.563053\pi\) |
0.417081 | + | 0.908869i | \(0.363053\pi\) | |||||||
\(810\) | −34.7615 | + | 16.0422i | −1.22139 | + | 0.563666i | ||||
\(811\) | −32.8893 | + | 23.8955i | −1.15490 | + | 0.839083i | −0.989124 | − | 0.147081i | \(-0.953012\pi\) |
−0.165774 | + | 0.986164i | \(0.553012\pi\) | |||||||
\(812\) | 4.92204 | + | 20.4293i | 0.172730 | + | 0.716927i | ||||
\(813\) | − | 11.4906i | − | 0.402992i | ||||||
\(814\) | 18.3441 | + | 12.8556i | 0.642960 | + | 0.450590i | ||||
\(815\) | − | 32.0023i | − | 1.12099i | ||||||
\(816\) | −8.82936 | − | 8.80097i | −0.309089 | − | 0.308095i | ||||
\(817\) | −5.67362 | + | 4.12213i | −0.198495 | + | 0.144215i | ||||
\(818\) | −10.2058 | − | 22.1147i | −0.356838 | − | 0.773224i | ||||
\(819\) | −9.34433 | + | 3.03616i | −0.326517 | + | 0.106092i | ||||
\(820\) | −25.7907 | − | 21.9914i | −0.900649 | − | 0.767974i | ||||
\(821\) | 3.79644 | − | 5.22535i | 0.132497 | − | 0.182366i | −0.737614 | − | 0.675223i | \(-0.764047\pi\) |
0.870110 | + | 0.492857i | \(0.164047\pi\) | |||||||
\(822\) | −10.9360 | + | 1.29883i | −0.381437 | + | 0.0453018i | ||||
\(823\) | 8.91903 | + | 2.89797i | 0.310898 | + | 0.101017i | 0.460310 | − | 0.887758i | \(-0.347738\pi\) |
−0.149412 | + | 0.988775i | \(0.547738\pi\) | |||||||
\(824\) | 0.771972 | + | 19.0611i | 0.0268929 | + | 0.664024i | ||||
\(825\) | 20.4297 | − | 11.8923i | 0.711270 | − | 0.414035i | ||||
\(826\) | 15.7133 | + | 8.79158i | 0.546737 | + | 0.305898i | ||||
\(827\) | 12.5614 | − | 38.6600i | 0.436803 | − | 1.34434i | −0.454425 | − | 0.890785i | \(-0.650155\pi\) |
0.891228 | − | 0.453556i | \(-0.149845\pi\) | |||||||
\(828\) | 2.53047 | − | 6.12303i | 0.0879399 | − | 0.212790i | ||||
\(829\) | −16.9550 | − | 12.3185i | −0.588870 | − | 0.427839i | 0.253041 | − | 0.967456i | \(-0.418569\pi\) |
−0.841911 | + | 0.539616i | \(0.818569\pi\) | |||||||
\(830\) | 38.5866 | + | 7.65921i | 1.33936 | + | 0.265855i | ||||
\(831\) | −3.29770 | − | 10.1493i | −0.114396 | − | 0.352074i | ||||
\(832\) | −4.16350 | + | 6.83120i | −0.144343 | + | 0.236829i | ||||
\(833\) | 20.8754 | + | 28.7325i | 0.723290 | + | 0.995524i | ||||
\(834\) | 8.87401 | − | 8.20968i | 0.307282 | − | 0.284278i | ||||
\(835\) | 61.2686 | 2.12029 | ||||||||
\(836\) | 21.8502 | + | 3.95112i | 0.755706 | + | 0.136652i | ||||
\(837\) | −24.3684 | −0.842295 | ||||||||
\(838\) | −16.1634 | + | 14.9534i | −0.558356 | + | 0.516556i | ||||
\(839\) | 16.5912 | + | 22.8359i | 0.572793 | + | 0.788382i | 0.992882 | − | 0.119101i | \(-0.0380011\pi\) |
−0.420089 | + | 0.907483i | \(0.638001\pi\) | |||||||
\(840\) | −13.2865 | + | 19.9368i | −0.458429 | + | 0.687885i | ||||
\(841\) | 6.38710 | + | 19.6575i | 0.220245 | + | 0.677844i | ||||
\(842\) | 29.0573 | + | 5.76770i | 1.00138 | + | 0.198768i | ||||
\(843\) | −4.50022 | − | 3.26960i | −0.154996 | − | 0.112611i | ||||
\(844\) | 42.6788 | + | 17.6379i | 1.46906 | + | 0.607121i | ||||
\(845\) | −1.31077 | + | 4.03414i | −0.0450920 | + | 0.138779i | ||||
\(846\) | 39.1110 | + | 21.8825i | 1.34466 | + | 0.752337i | ||||
\(847\) | 19.7739 | − | 34.8196i | 0.679438 | − | 1.19641i | ||||
\(848\) | −17.5810 | + | 34.6424i | −0.603734 | + | 1.18963i | ||||
\(849\) | −11.9793 | − | 3.89231i | −0.411129 | − | 0.133584i | ||||
\(850\) | 103.660 | − | 12.3113i | 3.55551 | − | 0.422274i | ||||
\(851\) | 3.44528 | − | 4.74203i | 0.118103 | − | 0.162555i | ||||
\(852\) | −6.84329 | + | 8.02553i | −0.234447 | + | 0.274950i | ||||
\(853\) | −24.3094 | + | 7.89862i | −0.832339 | + | 0.270443i | −0.694030 | − | 0.719946i | \(-0.744167\pi\) |
−0.138309 | + | 0.990389i | \(0.544167\pi\) | |||||||
\(854\) | −9.57209 | − | 20.7415i | −0.327550 | − | 0.709760i | ||||
\(855\) | −31.0050 | + | 22.5265i | −1.06035 | + | 0.770389i | ||||
\(856\) | 4.71380 | − | 16.7915i | 0.161114 | − | 0.573921i | ||||
\(857\) | 30.6497i | 1.04697i | 0.852033 | + | 0.523487i | \(0.175369\pi\) | ||||
−0.852033 | + | 0.523487i | \(0.824631\pi\) | |||||||
\(858\) | −0.836734 | − | 2.43322i | −0.0285656 | − | 0.0830687i | ||||
\(859\) | 30.4272i | 1.03816i | 0.854725 | + | 0.519081i | \(0.173726\pi\) | ||||
−0.854725 | + | 0.519081i | \(0.826274\pi\) | |||||||
\(860\) | −17.2786 | + | 4.16294i | −0.589195 | + | 0.141955i | ||||
\(861\) | −6.45461 | + | 4.68955i | −0.219973 | + | 0.159819i | ||||
\(862\) | −20.7573 | + | 9.57938i | −0.706996 | + | 0.326275i | ||||
\(863\) | 14.7332 | − | 4.78712i | 0.501525 | − | 0.162955i | −0.0473195 | − | 0.998880i | \(-0.515068\pi\) |
0.548845 | + | 0.835924i | \(0.315068\pi\) | |||||||
\(864\) | 13.9108 | + | 10.9210i | 0.473253 | + | 0.371541i | ||||
\(865\) | −25.0627 | + | 34.4959i | −0.852158 | + | 1.17289i | ||||
\(866\) | 0.529987 | + | 4.46245i | 0.0180097 | + | 0.151640i | ||||
\(867\) | 7.97045 | + | 2.58976i | 0.270691 | + | 0.0879528i | ||||
\(868\) | 48.3609 | − | 29.6892i | 1.64148 | − | 1.00772i | ||||
\(869\) | −9.88807 | − | 16.9867i | −0.335430 | − | 0.576234i | ||||
\(870\) | 4.63774 | − | 8.28910i | 0.157234 | − | 0.281027i | ||||
\(871\) | 2.22159 | − | 6.83736i | 0.0752758 | − | 0.231675i | ||||
\(872\) | 7.45298 | + | 9.43061i | 0.252390 | + | 0.319361i | ||||
\(873\) | 30.8350 | + | 22.4029i | 1.04361 | + | 0.758225i | ||||
\(874\) | 1.13123 | − | 5.69907i | 0.0382645 | − | 0.192774i | ||||
\(875\) | −38.1361 | − | 117.371i | −1.28924 | − | 3.96786i | ||||
\(876\) | −0.239273 | + | 3.07188i | −0.00808429 | + | 0.103789i | ||||
\(877\) | 12.8733 | + | 17.7186i | 0.434701 | + | 0.598314i | 0.969024 | − | 0.246966i | \(-0.0794335\pi\) |
−0.534323 | + | 0.845280i | \(0.679434\pi\) | |||||||
\(878\) | −30.2026 | − | 32.6466i | −1.01929 | − | 1.10177i | ||||
\(879\) | 6.54825 | 0.220867 | ||||||||
\(880\) | 47.3525 | + | 30.4041i | 1.59625 | + | 1.02492i | ||||
\(881\) | −10.8025 | −0.363945 | −0.181972 | − | 0.983304i | \(-0.558248\pi\) | ||||
−0.181972 | + | 0.983304i | \(0.558248\pi\) | |||||||
\(882\) | −16.2043 | − | 17.5155i | −0.545626 | − | 0.589778i | ||||
\(883\) | 16.1683 | + | 22.2537i | 0.544105 | + | 0.748896i | 0.989198 | − | 0.146588i | \(-0.0468292\pi\) |
−0.445093 | + | 0.895485i | \(0.646829\pi\) | |||||||
\(884\) | 0.882375 | − | 11.3283i | 0.0296775 | − | 0.381010i | ||||
\(885\) | −2.51495 | − | 7.74023i | −0.0845393 | − | 0.260185i | ||||
\(886\) | −6.66446 | + | 33.5751i | −0.223897 | + | 1.12798i | ||||
\(887\) | 12.0270 | + | 8.73815i | 0.403828 | + | 0.293398i | 0.771098 | − | 0.636716i | \(-0.219708\pi\) |
−0.367270 | + | 0.930114i | \(0.619708\pi\) | |||||||
\(888\) | 4.59460 | + | 5.81377i | 0.154185 | + | 0.195097i | ||||
\(889\) | 0.114488 | − | 0.352358i | 0.00383981 | − | 0.0118177i | ||||
\(890\) | 20.7058 | − | 37.0078i | 0.694059 | − | 1.24050i | ||||
\(891\) | 20.6887 | − | 4.47456i | 0.693098 | − | 0.149903i | ||||
\(892\) | −20.5432 | + | 12.6117i | −0.687837 | + | 0.422269i | ||||
\(893\) | 37.3794 | + | 12.1453i | 1.25086 | + | 0.406428i | ||||
\(894\) | −1.16696 | − | 9.82571i | −0.0390290 | − | 0.328621i | ||||
\(895\) | 12.3235 | − | 16.9618i | 0.411929 | − | 0.566972i | ||||
\(896\) | −40.9125 | − | 4.72544i | −1.36679 | − | 0.157866i | ||||
\(897\) | −0.640339 | + | 0.208059i | −0.0213803 | + | 0.00694688i | ||||
\(898\) | −5.29242 | + | 2.44242i | −0.176610 | + | 0.0815047i | ||||
\(899\) | −18.2007 | + | 13.2236i | −0.607027 | + | 0.441031i | ||||
\(900\) | −68.1838 | + | 16.4276i | −2.27279 | + | 0.547585i | ||||
\(901\) | − | 55.1770i | − | 1.83821i | ||||||
\(902\) | 11.2716 | + | 14.9704i | 0.375304 | + | 0.498461i | ||||
\(903\) | 4.18364i | 0.139223i | ||||||||
\(904\) | 5.99176 | − | 21.3438i | 0.199283 | − | 0.709885i | ||||
\(905\) | 36.6464 | − | 26.6252i | 1.21817 | − | 0.885050i | ||||
\(906\) | −7.17968 | − | 15.5574i | −0.238529 | − | 0.516862i | ||||
\(907\) | −43.7174 | + | 14.2046i | −1.45161 | + | 0.471657i | −0.925496 | − | 0.378756i | \(-0.876352\pi\) |
−0.526115 | + | 0.850413i | \(0.676352\pi\) | |||||||
\(908\) | −5.91021 | + | 6.93126i | −0.196137 | + | 0.230022i | ||||
\(909\) | −10.7705 | + | 14.8243i | −0.357234 | + | 0.491691i | ||||
\(910\) | −21.6844 | + | 2.57537i | −0.718832 | + | 0.0853728i | ||||
\(911\) | −33.6518 | − | 10.9341i | −1.11493 | − | 0.362264i | −0.307102 | − | 0.951677i | \(-0.599359\pi\) |
−0.807832 | + | 0.589413i | \(0.799359\pi\) | |||||||
\(912\) | 6.55017 | + | 3.32420i | 0.216898 | + | 0.110075i | ||||
\(913\) | −19.9012 | − | 8.77583i | −0.658634 | − | 0.290438i | ||||
\(914\) | 42.0880 | + | 23.5482i | 1.39215 | + | 0.778904i | ||||
\(915\) | −3.19073 | + | 9.82004i | −0.105482 | + | 0.324641i | ||||
\(916\) | 21.8198 | + | 9.01748i | 0.720947 | + | 0.297946i | ||||
\(917\) | −32.5069 | − | 23.6177i | −1.07347 | − | 0.779924i | ||||
\(918\) | −24.6384 | − | 4.89058i | −0.813189 | − | 0.161413i | ||||
\(919\) | 16.4353 | + | 50.5826i | 0.542149 | + | 1.66856i | 0.727673 | + | 0.685925i | \(0.240602\pi\) |
−0.185523 | + | 0.982640i | \(0.559398\pi\) | |||||||
\(920\) | 8.16596 | − | 12.2532i | 0.269224 | − | 0.403977i | ||||
\(921\) | 9.64949 | + | 13.2814i | 0.317962 | + | 0.437637i | ||||
\(922\) | 12.2945 | − | 11.3741i | 0.404899 | − | 0.374587i | ||||
\(923\) | −9.61303 | −0.316417 | ||||||||
\(924\) | 9.56864 | − | 9.16002i | 0.314785 | − | 0.301343i | ||||
\(925\) | −62.0488 | −2.04015 | ||||||||
\(926\) | 12.4505 | − | 11.5184i | 0.409149 | − | 0.378519i | ||||
\(927\) | 10.7002 | + | 14.7275i | 0.351439 | + | 0.483714i | ||||
\(928\) | 16.3162 | + | 0.608172i | 0.535607 | + | 0.0199642i | ||||
\(929\) | −10.8499 | − | 33.3925i | −0.355973 | − | 1.09557i | −0.955443 | − | 0.295175i | \(-0.904622\pi\) |
0.599470 | − | 0.800397i | \(-0.295378\pi\) | |||||||
\(930\) | −25.1589 | − | 4.99390i | −0.824994 | − | 0.163756i | ||||
\(931\) | −16.9295 | − | 12.3000i | −0.554842 | − | 0.403116i | ||||
\(932\) | −12.5107 | + | 30.2723i | −0.409800 | + | 0.991604i | ||||
\(933\) | −0.281292 | + | 0.865727i | −0.00920908 | + | 0.0283426i | ||||
\(934\) | 43.2680 | + | 24.2084i | 1.41577 | + | 0.792122i | ||||
\(935\) | −79.5174 | − | 8.07150i | −2.60050 | − | 0.263966i | ||||
\(936\) | 0.308927 | + | 7.62784i | 0.0100976 | + | 0.249324i | ||||
\(937\) | −12.2802 | − | 3.99007i | −0.401176 | − | 0.130350i | 0.101478 | − | 0.994838i | \(-0.467643\pi\) |
−0.502654 | + | 0.864488i | \(0.667643\pi\) | |||||||
\(938\) | 36.7523 | − | 4.36493i | 1.20001 | − | 0.142520i | ||||
\(939\) | 6.36402 | − | 8.75933i | 0.207682 | − | 0.285850i | ||||
\(940\) | 75.7930 | + | 64.6279i | 2.47209 | + | 2.10793i | ||||
\(941\) | −57.7695 | + | 18.7704i | −1.88323 | + | 0.611899i | −0.898183 | + | 0.439621i | \(0.855113\pi\) |
−0.985048 | + | 0.172278i | \(0.944887\pi\) | |||||||
\(942\) | 4.26743 | + | 9.24698i | 0.139040 | + | 0.301283i | ||||
\(943\) | 3.96703 | − | 2.88221i | 0.129184 | − | 0.0938578i | ||||
\(944\) | 9.87660 | − | 9.90846i | 0.321456 | − | 0.322493i | ||||
\(945\) | 48.2744i | 1.57037i | ||||||||
\(946\) | 9.82504 | − | 0.167560i | 0.319439 | − | 0.00544783i | ||||
\(947\) | 7.51703i | 0.244271i | 0.992513 | + | 0.122135i | \(0.0389742\pi\) | ||||
−0.992513 | + | 0.122135i | \(0.961026\pi\) | |||||||
\(948\) | −1.52296 | − | 6.32114i | −0.0494633 | − | 0.205301i | ||||
\(949\) | −2.27198 | + | 1.65069i | −0.0737517 | + | 0.0535838i | ||||
\(950\) | −55.8466 | + | 25.7729i | −1.81190 | + | 0.836183i | ||||
\(951\) | 0.216889 | − | 0.0704716i | 0.00703312 | − | 0.00228520i | ||||
\(952\) | 54.8552 | − | 20.3125i | 1.77787 | − | 0.658331i | ||||
\(953\) | 32.9168 | − | 45.3062i | 1.06628 | − | 1.46761i | 0.192496 | − | 0.981298i | \(-0.438342\pi\) |
0.873785 | − | 0.486313i | \(-0.161658\pi\) | |||||||
\(954\) | 4.37210 | + | 36.8127i | 0.141552 | + | 1.19186i | ||||
\(955\) | −41.8986 | − | 13.6137i | −1.35581 | − | 0.440528i | ||||
\(956\) | 11.7669 | + | 19.1672i | 0.380569 | + | 0.619910i | ||||
\(957\) | −3.50002 | + | 3.91510i | −0.113139 | + | 0.126557i | ||||
\(958\) | 5.82288 | − | 10.4073i | 0.188129 | − | 0.336245i | ||||
\(959\) | 15.9682 | − | 49.1452i | 0.515642 | − | 1.58698i | ||||
\(960\) | 12.1240 | + | 14.1261i | 0.391299 | + | 0.455918i | ||||
\(961\) | 24.0707 | + | 17.4884i | 0.776475 | + | 0.564142i | ||||
\(962\) | −1.31496 | + | 6.62470i | −0.0423961 | + | 0.213589i | ||||
\(963\) | −5.14293 | − | 15.8283i | −0.165729 | − | 0.510061i | ||||
\(964\) | 6.74089 | + | 0.525059i | 0.217110 | + | 0.0169110i | ||||
\(965\) | −30.7402 | − | 42.3103i | −0.989563 | − | 1.36202i | ||||
\(966\) | −2.35385 | − | 2.54433i | −0.0757339 | − | 0.0818624i | ||||
\(967\) | −24.5008 | −0.787894 | −0.393947 | − | 0.919133i | \(-0.628891\pi\) | ||||
−0.393947 | + | 0.919133i | \(0.628891\pi\) | |||||||
\(968\) | −21.8950 | − | 22.1045i | −0.703732 | − | 0.710466i | ||||
\(969\) | −10.4328 | −0.335151 | ||||||||
\(970\) | 57.5262 | + | 62.1812i | 1.84705 | + | 1.99652i | ||||
\(971\) | −23.2246 | − | 31.9659i | −0.745312 | − | 1.02583i | −0.998295 | − | 0.0583637i | \(-0.981412\pi\) |
0.252983 | − | 0.967471i | \(-0.418588\pi\) | |||||||
\(972\) | 25.6827 | + | 2.00047i | 0.823774 | + | 0.0641650i | ||||
\(973\) | 17.5288 | + | 53.9481i | 0.561947 | + | 1.72950i | ||||
\(974\) | 1.64411 | − | 8.28295i | 0.0526808 | − | 0.265403i | ||||
\(975\) | 5.76618 | + | 4.18938i | 0.184666 | + | 0.134167i | ||||
\(976\) | −17.5263 | + | 2.80484i | −0.561004 | + | 0.0897807i | ||||
\(977\) | −12.8041 | + | 39.4068i | −0.409638 | + | 1.26074i | 0.507322 | + | 0.861757i | \(0.330636\pi\) |
−0.916960 | + | 0.398980i | \(0.869364\pi\) | |||||||
\(978\) | −2.85792 | + | 5.10801i | −0.0913862 | + | 0.163336i | ||||
\(979\) | −15.6263 | + | 17.4795i | −0.499418 | + | 0.558646i | ||||
\(980\) | −27.7460 | − | 45.1956i | −0.886314 | − | 1.44372i | ||||
\(981\) | 10.9089 | + | 3.54453i | 0.348296 | + | 0.113168i | ||||
\(982\) | 1.13922 | + | 9.59214i | 0.0363540 | + | 0.306097i | ||||
\(983\) | −26.3738 | + | 36.3004i | −0.841193 | + | 1.15780i | 0.144542 | + | 0.989499i | \(0.453829\pi\) |
−0.985735 | + | 0.168304i | \(0.946171\pi\) | |||||||
\(984\) | 2.15263 | + | 5.81334i | 0.0686235 | + | 0.185322i | ||||
\(985\) | 17.7333 | − | 5.76191i | 0.565031 | − | 0.183590i | ||||
\(986\) | −21.0563 | + | 9.71736i | −0.670568 | + | 0.309464i | ||||
\(987\) | 18.9686 | − | 13.7815i | 0.603779 | − | 0.438671i | ||||
\(988\) | 1.56814 | + | 6.50870i | 0.0498893 | + | 0.207069i | ||||
\(989\) | − | 2.57128i | − | 0.0817621i | ||||||
\(990\) | 53.6916 | − | 0.915674i | 1.70643 | − | 0.0291020i | ||||
\(991\) | − | 41.9704i | − | 1.33323i | −0.745401 | − | 0.666617i | \(-0.767742\pi\) | ||
0.745401 | − | 0.666617i | \(-0.232258\pi\) | |||||||
\(992\) | −12.0537 | − | 42.4123i | −0.382706 | − | 1.34659i | ||||
\(993\) | −7.25446 | + | 5.27067i | −0.230213 | + | 0.167260i | ||||
\(994\) | −20.7370 | − | 44.9343i | −0.657736 | − | 1.42523i | ||||
\(995\) | 84.4536 | − | 27.4407i | 2.67736 | − | 0.869927i | ||||
\(996\) | −5.47497 | − | 4.66844i | −0.173481 | − | 0.147925i | ||||
\(997\) | 34.1376 | − | 46.9864i | 1.08115 | − | 1.48808i | 0.222901 | − | 0.974841i | \(-0.428447\pi\) |
0.858249 | − | 0.513234i | \(-0.171553\pi\) | |||||||
\(998\) | −46.3823 | + | 5.50864i | −1.46821 | + | 0.174373i | ||||
\(999\) | 14.2001 | + | 4.61389i | 0.449271 | + | 0.145977i |
(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 | 572.2.y.a.79.19 | yes | 288 | |
4.3 | odd | 2 | inner | 572.2.y.a.79.4 | ✓ | 288 | |
11.6 | odd | 10 | inner | 572.2.y.a.391.4 | yes | 288 | |
44.39 | even | 10 | inner | 572.2.y.a.391.19 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.y.a.79.4 | ✓ | 288 | 4.3 | odd | 2 | inner | |
572.2.y.a.79.19 | yes | 288 | 1.1 | even | 1 | trivial | |
572.2.y.a.391.4 | yes | 288 | 11.6 | odd | 10 | inner | |
572.2.y.a.391.19 | yes | 288 | 44.39 | even | 10 | inner |