Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.10 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24461 | + | 0.671529i | −0.880071 | + | 0.474842i | ||||
\(3\) | −1.27306 | + | 1.17444i | −0.735001 | + | 0.678066i | ||||
\(4\) | 1.09810 | − | 1.67158i | 0.549049 | − | 0.835790i | ||||
\(5\) | −2.10329 | − | 0.759058i | −0.940620 | − | 0.339461i | ||||
\(6\) | 0.795787 | − | 2.31662i | 0.324879 | − | 0.945756i | ||||
\(7\) | − | 0.738888i | − | 0.279273i | −0.990203 | − | 0.139637i | \(-0.955407\pi\) | ||
0.990203 | − | 0.139637i | \(-0.0445935\pi\) | |||||||
\(8\) | −0.244189 | + | 2.81787i | −0.0863340 | + | 0.996266i | ||||
\(9\) | 0.241361 | − | 2.99028i | 0.0804538 | − | 0.996758i | ||||
\(10\) | 3.12750 | − | 0.467689i | 0.989003 | − | 0.147896i | ||||
\(11\) | 1.63157 | − | 1.18541i | 0.491938 | − | 0.357414i | −0.313991 | − | 0.949426i | \(-0.601666\pi\) |
0.805929 | + | 0.592012i | \(0.201666\pi\) | |||||||
\(12\) | 0.565232 | + | 3.41768i | 0.163168 | + | 0.986598i | ||||
\(13\) | 3.83758 | + | 2.78817i | 1.06435 | + | 0.773299i | 0.974889 | − | 0.222691i | \(-0.0714842\pi\) |
0.0894654 | + | 0.995990i | \(0.471484\pi\) | |||||||
\(14\) | 0.496184 | + | 0.919626i | 0.132611 | + | 0.245780i | ||||
\(15\) | 3.56909 | − | 1.50387i | 0.921534 | − | 0.388298i | ||||
\(16\) | −1.58836 | − | 3.67112i | −0.397089 | − | 0.917780i | ||||
\(17\) | 3.35436 | − | 1.08990i | 0.813551 | − | 0.264339i | 0.127450 | − | 0.991845i | \(-0.459321\pi\) |
0.686101 | + | 0.727506i | \(0.259321\pi\) | |||||||
\(18\) | 1.70765 | + | 3.88380i | 0.402498 | + | 0.915421i | ||||
\(19\) | −2.82939 | + | 0.919326i | −0.649108 | + | 0.210908i | −0.615021 | − | 0.788511i | \(-0.710852\pi\) |
−0.0340869 | + | 0.999419i | \(0.510852\pi\) | |||||||
\(20\) | −3.57845 | + | 2.68230i | −0.800165 | + | 0.599780i | ||||
\(21\) | 0.867783 | + | 0.940648i | 0.189366 | + | 0.205266i | ||||
\(22\) | −1.23464 | + | 2.57102i | −0.263225 | + | 0.548143i | ||||
\(23\) | −1.01379 | + | 0.736564i | −0.211391 | + | 0.153584i | −0.688443 | − | 0.725291i | \(-0.741705\pi\) |
0.477052 | + | 0.878875i | \(0.341705\pi\) | |||||||
\(24\) | −2.99856 | − | 3.87410i | −0.612078 | − | 0.790797i | ||||
\(25\) | 3.84766 | + | 3.19304i | 0.769532 | + | 0.638608i | ||||
\(26\) | −6.64862 | − | 0.893130i | −1.30390 | − | 0.175157i | ||||
\(27\) | 3.20464 | + | 4.09026i | 0.616734 | + | 0.787172i | ||||
\(28\) | −1.23511 | − | 0.811372i | −0.233414 | − | 0.153335i | ||||
\(29\) | 7.24833 | + | 2.35512i | 1.34598 | + | 0.437336i | 0.891339 | − | 0.453338i | \(-0.149767\pi\) |
0.454642 | + | 0.890674i | \(0.349767\pi\) | |||||||
\(30\) | −3.43222 | + | 4.26847i | −0.626635 | + | 0.779313i | ||||
\(31\) | 6.78818 | − | 2.20561i | 1.21919 | − | 0.396140i | 0.372405 | − | 0.928070i | \(-0.378533\pi\) |
0.846788 | + | 0.531930i | \(0.178533\pi\) | |||||||
\(32\) | 4.44214 | + | 3.50248i | 0.785268 | + | 0.619156i | ||||
\(33\) | −0.684895 | + | 3.42529i | −0.119225 | + | 0.596266i | ||||
\(34\) | −3.44296 | + | 3.60904i | −0.590463 | + | 0.618945i | ||||
\(35\) | −0.560859 | + | 1.55410i | −0.0948025 | + | 0.262690i | ||||
\(36\) | −4.73344 | − | 3.68707i | −0.788907 | − | 0.614512i | ||||
\(37\) | −0.994956 | − | 0.722878i | −0.163570 | − | 0.118840i | 0.502989 | − | 0.864293i | \(-0.332234\pi\) |
−0.666559 | + | 0.745452i | \(0.732234\pi\) | |||||||
\(38\) | 2.90413 | − | 3.04422i | 0.471113 | − | 0.493838i | ||||
\(39\) | −8.16002 | + | 0.957525i | −1.30665 | + | 0.153327i | ||||
\(40\) | 2.65253 | − | 5.74144i | 0.419401 | − | 0.907801i | ||||
\(41\) | 1.02181 | − | 1.40641i | 0.159581 | − | 0.219644i | −0.721738 | − | 0.692166i | \(-0.756656\pi\) |
0.881319 | + | 0.472522i | \(0.156656\pi\) | |||||||
\(42\) | −1.71172 | − | 0.587998i | −0.264124 | − | 0.0907300i | ||||
\(43\) | 2.44596i | 0.373005i | 0.982455 | + | 0.186502i | \(0.0597152\pi\) | ||||
−0.982455 | + | 0.186502i | \(0.940285\pi\) | |||||||
\(44\) | −0.189874 | − | 4.02900i | −0.0286246 | − | 0.607395i | ||||
\(45\) | −2.77745 | + | 6.10621i | −0.414037 | + | 0.910260i | ||||
\(46\) | 0.767152 | − | 1.59753i | 0.113110 | − | 0.235542i | ||||
\(47\) | 3.13833 | − | 9.65878i | 0.457772 | − | 1.40888i | −0.410077 | − | 0.912051i | \(-0.634498\pi\) |
0.867849 | − | 0.496827i | \(-0.165502\pi\) | |||||||
\(48\) | 6.33360 | + | 2.80812i | 0.914176 | + | 0.405317i | ||||
\(49\) | 6.45404 | 0.922006 | ||||||||
\(50\) | −6.93305 | − | 1.39027i | −0.980481 | − | 0.196614i | ||||
\(51\) | −2.99027 | + | 5.32701i | −0.418722 | + | 0.745930i | ||||
\(52\) | 8.87469 | − | 3.35314i | 1.23070 | − | 0.464997i | ||||
\(53\) | −11.6976 | − | 3.80078i | −1.60679 | − | 0.522077i | −0.638014 | − | 0.770025i | \(-0.720244\pi\) |
−0.968773 | + | 0.247948i | \(0.920244\pi\) | |||||||
\(54\) | −6.73525 | − | 2.93877i | −0.916552 | − | 0.399915i | ||||
\(55\) | −4.33147 | + | 1.25480i | −0.584055 | + | 0.169197i | ||||
\(56\) | 2.08209 | + | 0.180429i | 0.278231 | + | 0.0241108i | ||||
\(57\) | 2.52229 | − | 4.49332i | 0.334086 | − | 0.595155i | ||||
\(58\) | −10.6029 | + | 1.93625i | −1.39222 | + | 0.254242i | ||||
\(59\) | 3.97523 | + | 2.88818i | 0.517531 | + | 0.376009i | 0.815673 | − | 0.578513i | \(-0.196367\pi\) |
−0.298142 | + | 0.954522i | \(0.596367\pi\) | |||||||
\(60\) | 1.40537 | − | 7.61741i | 0.181432 | − | 0.983403i | ||||
\(61\) | 5.09556 | − | 3.70214i | 0.652419 | − | 0.474010i | −0.211675 | − | 0.977340i | \(-0.567892\pi\) |
0.864094 | + | 0.503330i | \(0.167892\pi\) | |||||||
\(62\) | −6.96749 | + | 7.30358i | −0.884873 | + | 0.927556i | ||||
\(63\) | −2.20948 | − | 0.178339i | −0.278368 | − | 0.0224686i | ||||
\(64\) | −7.88074 | − | 1.37619i | −0.985093 | − | 0.172023i | ||||
\(65\) | −5.95517 | − | 8.77728i | −0.738648 | − | 1.08869i | ||||
\(66\) | −1.44775 | − | 4.72307i | −0.178206 | − | 0.581369i | ||||
\(67\) | 8.81266 | − | 2.86341i | 1.07664 | − | 0.349821i | 0.283569 | − | 0.958952i | \(-0.408482\pi\) |
0.793070 | + | 0.609131i | \(0.208482\pi\) | |||||||
\(68\) | 1.86157 | − | 6.80389i | 0.225748 | − | 0.825092i | ||||
\(69\) | 0.425566 | − | 2.12834i | 0.0512322 | − | 0.256221i | ||||
\(70\) | −0.345570 | − | 2.31087i | −0.0413035 | − | 0.276202i | ||||
\(71\) | 4.32943 | − | 13.3246i | 0.513808 | − | 1.58134i | −0.271631 | − | 0.962401i | \(-0.587563\pi\) |
0.785440 | − | 0.618938i | \(-0.212437\pi\) | |||||||
\(72\) | 8.36726 | + | 1.41032i | 0.986091 | + | 0.166207i | ||||
\(73\) | −4.33209 | + | 3.14745i | −0.507033 | + | 0.368381i | −0.811697 | − | 0.584079i | \(-0.801456\pi\) |
0.304664 | + | 0.952460i | \(0.401456\pi\) | |||||||
\(74\) | 1.72376 | + | 0.231558i | 0.200383 | + | 0.0269181i | ||||
\(75\) | −8.64835 | + | 0.453932i | −0.998625 | + | 0.0524155i | ||||
\(76\) | −1.57023 | + | 5.73907i | −0.180118 | + | 0.658316i | ||||
\(77\) | −0.875884 | − | 1.20555i | −0.0998162 | − | 0.137385i | ||||
\(78\) | 9.51302 | − | 6.67143i | 1.07714 | − | 0.755391i | ||||
\(79\) | −14.7649 | − | 4.79739i | −1.66118 | − | 0.539749i | −0.680058 | − | 0.733158i | \(-0.738045\pi\) |
−0.981118 | + | 0.193410i | \(0.938045\pi\) | |||||||
\(80\) | 0.554183 | + | 8.92709i | 0.0619595 | + | 0.998079i | ||||
\(81\) | −8.88349 | − | 1.44347i | −0.987054 | − | 0.160386i | ||||
\(82\) | −0.327316 | + | 2.43660i | −0.0361460 | + | 0.269078i | ||||
\(83\) | 0.885035 | + | 2.72386i | 0.0971453 | + | 0.298982i | 0.987807 | − | 0.155684i | \(-0.0497583\pi\) |
−0.890662 | + | 0.454667i | \(0.849758\pi\) | |||||||
\(84\) | 2.52528 | − | 0.417643i | 0.275531 | − | 0.0455686i | ||||
\(85\) | −7.88248 | − | 0.253784i | −0.854975 | − | 0.0275267i | ||||
\(86\) | −1.64253 | − | 3.04426i | −0.177118 | − | 0.328271i | ||||
\(87\) | −11.9935 | + | 5.51454i | −1.28584 | + | 0.591221i | ||||
\(88\) | 2.94191 | + | 4.88702i | 0.313608 | + | 0.520958i | ||||
\(89\) | 7.36821 | + | 10.1415i | 0.781029 | + | 1.07499i | 0.995168 | + | 0.0981907i | \(0.0313055\pi\) |
−0.214139 | + | 0.976803i | \(0.568694\pi\) | |||||||
\(90\) | −0.643661 | − | 9.46497i | −0.0678478 | − | 0.997696i | ||||
\(91\) | 2.06014 | − | 2.83555i | 0.215962 | − | 0.297246i | ||||
\(92\) | 0.117980 | + | 2.50346i | 0.0123003 | + | 0.261004i | ||||
\(93\) | −6.05139 | + | 10.7802i | −0.627500 | + | 1.11786i | ||||
\(94\) | 2.58016 | + | 14.1289i | 0.266123 | + | 1.45728i | ||||
\(95\) | 6.64886 | + | 0.214066i | 0.682159 | + | 0.0219627i | ||||
\(96\) | −9.76858 | + | 0.758188i | −0.997001 | + | 0.0773822i | ||||
\(97\) | 2.66343 | − | 8.19720i | 0.270430 | − | 0.832299i | −0.719962 | − | 0.694013i | \(-0.755841\pi\) |
0.990392 | − | 0.138286i | \(-0.0441592\pi\) | |||||||
\(98\) | −8.03276 | + | 4.33407i | −0.811431 | + | 0.437808i | ||||
\(99\) | −3.15090 | − | 5.16497i | −0.316677 | − | 0.519099i | ||||
\(100\) | 9.56253 | − | 2.92540i | 0.956253 | − | 0.292540i | ||||
\(101\) | 17.6364i | 1.75489i | 0.479681 | + | 0.877443i | \(0.340753\pi\) | ||||
−0.479681 | + | 0.877443i | \(0.659247\pi\) | |||||||
\(102\) | 0.144480 | − | 8.63809i | 0.0143057 | − | 0.855298i | ||||
\(103\) | −5.21717 | − | 1.69516i | −0.514063 | − | 0.167029i | 0.0404864 | − | 0.999180i | \(-0.487109\pi\) |
−0.554549 | + | 0.832151i | \(0.687109\pi\) | |||||||
\(104\) | −8.79378 | + | 10.1330i | −0.862301 | + | 0.993618i | ||||
\(105\) | −1.11119 | − | 2.63715i | −0.108441 | − | 0.257360i | ||||
\(106\) | 17.1112 | − | 3.12479i | 1.66199 | − | 0.303506i | ||||
\(107\) | 6.48954 | 0.627367 | 0.313684 | − | 0.949528i | \(-0.398437\pi\) | ||||
0.313684 | + | 0.949528i | \(0.398437\pi\) | |||||||
\(108\) | 10.3562 | − | 0.865304i | 0.996528 | − | 0.0832639i | ||||
\(109\) | −6.74713 | − | 4.90208i | −0.646258 | − | 0.469534i | 0.215736 | − | 0.976452i | \(-0.430785\pi\) |
−0.861994 | + | 0.506918i | \(0.830785\pi\) | |||||||
\(110\) | 4.54835 | − | 4.47043i | 0.433668 | − | 0.426239i | ||||
\(111\) | 2.11562 | − | 0.248254i | 0.200806 | − | 0.0235632i | ||||
\(112\) | −2.71255 | + | 1.17362i | −0.256312 | + | 0.110897i | ||||
\(113\) | 2.26858 | − | 3.12244i | 0.213410 | − | 0.293734i | −0.688869 | − | 0.724886i | \(-0.741893\pi\) |
0.902280 | + | 0.431152i | \(0.141893\pi\) | |||||||
\(114\) | −0.121869 | + | 7.28622i | −0.0114141 | + | 0.682417i | ||||
\(115\) | 2.69140 | − | 0.779680i | 0.250974 | − | 0.0727055i | ||||
\(116\) | 11.8962 | − | 9.53000i | 1.10453 | − | 0.884838i | ||||
\(117\) | 9.26363 | − | 10.8025i | 0.856423 | − | 0.998689i | ||||
\(118\) | −6.88710 | − | 0.925165i | −0.634009 | − | 0.0851684i | ||||
\(119\) | −0.805311 | − | 2.47849i | −0.0738228 | − | 0.227203i | ||||
\(120\) | 3.36617 | + | 10.4244i | 0.307288 | + | 0.951616i | ||||
\(121\) | −2.14234 | + | 6.59346i | −0.194759 | + | 0.599405i | ||||
\(122\) | −3.85588 | + | 8.02952i | −0.349095 | + | 0.726959i | ||||
\(123\) | 0.350916 | + | 2.99051i | 0.0316410 | + | 0.269645i | ||||
\(124\) | 3.76724 | − | 13.7690i | 0.338308 | − | 1.23649i | ||||
\(125\) | −5.66904 | − | 9.63649i | −0.507055 | − | 0.861914i | ||||
\(126\) | 2.86969 | − | 1.26177i | 0.255653 | − | 0.112407i | ||||
\(127\) | 1.06653 | + | 1.46796i | 0.0946396 | + | 0.130260i | 0.853711 | − | 0.520747i | \(-0.174347\pi\) |
−0.759071 | + | 0.651008i | \(0.774347\pi\) | |||||||
\(128\) | 10.7326 | − | 3.57933i | 0.948635 | − | 0.316371i | ||||
\(129\) | −2.87264 | − | 3.11385i | −0.252922 | − | 0.274159i | ||||
\(130\) | 13.3060 | + | 6.92520i | 1.16702 | + | 0.607381i | ||||
\(131\) | 5.48334 | + | 16.8760i | 0.479082 | + | 1.47446i | 0.840373 | + | 0.542009i | \(0.182336\pi\) |
−0.361291 | + | 0.932453i | \(0.617664\pi\) | |||||||
\(132\) | 4.97356 | + | 4.90616i | 0.432893 | + | 0.427027i | ||||
\(133\) | 0.679279 | + | 2.09061i | 0.0589010 | + | 0.181278i | ||||
\(134\) | −9.04545 | + | 9.48178i | −0.781408 | + | 0.819101i | ||||
\(135\) | −3.63555 | − | 11.0355i | −0.312898 | − | 0.949787i | ||||
\(136\) | 2.25208 | + | 9.71827i | 0.193115 | + | 0.833334i | ||||
\(137\) | 2.75560 | − | 3.79276i | 0.235427 | − | 0.324037i | −0.674914 | − | 0.737896i | \(-0.735819\pi\) |
0.910341 | + | 0.413859i | \(0.135819\pi\) | |||||||
\(138\) | 0.899574 | + | 2.93472i | 0.0765769 | + | 0.249820i | ||||
\(139\) | 12.4665 | + | 17.1586i | 1.05739 | + | 1.45538i | 0.882219 | + | 0.470840i | \(0.156049\pi\) |
0.175175 | + | 0.984537i | \(0.443951\pi\) | |||||||
\(140\) | 1.98192 | + | 2.64407i | 0.167503 | + | 0.223465i | ||||
\(141\) | 7.34842 | + | 15.9820i | 0.618849 | + | 1.34593i | ||||
\(142\) | 3.55941 | + | 19.4912i | 0.298699 | + | 1.63567i | ||||
\(143\) | 9.56642 | 0.799984 | ||||||||
\(144\) | −11.3610 | + | 3.86356i | −0.946752 | + | 0.321963i | ||||
\(145\) | −13.4577 | − | 10.4554i | −1.11760 | − | 0.868275i | ||||
\(146\) | 3.27815 | − | 6.82646i | 0.271302 | − | 0.564962i | ||||
\(147\) | −8.21638 | + | 7.57992i | −0.677676 | + | 0.625181i | ||||
\(148\) | −2.30091 | + | 0.869357i | −0.189133 | + | 0.0714607i | ||||
\(149\) | 4.19467i | 0.343641i | 0.985128 | + | 0.171820i | \(0.0549649\pi\) | ||||
−0.985128 | + | 0.171820i | \(0.945035\pi\) | |||||||
\(150\) | 10.4590 | − | 6.37258i | 0.853972 | − | 0.520319i | ||||
\(151\) | − | 1.91066i | − | 0.155487i | −0.996973 | − | 0.0777437i | \(-0.975228\pi\) | ||
0.996973 | − | 0.0777437i | \(-0.0247716\pi\) | |||||||
\(152\) | −1.89963 | − | 8.19734i | −0.154080 | − | 0.664892i | ||||
\(153\) | −2.44948 | − | 10.2935i | −0.198029 | − | 0.832180i | ||||
\(154\) | 1.89969 | + | 0.912257i | 0.153082 | + | 0.0735118i | ||||
\(155\) | −15.9517 | − | 0.513581i | −1.28127 | − | 0.0412518i | ||||
\(156\) | −7.35993 | + | 14.6916i | −0.589266 | + | 1.17627i | ||||
\(157\) | −20.1739 | −1.61006 | −0.805028 | − | 0.593237i | \(-0.797850\pi\) | ||||
−0.805028 | + | 0.593237i | \(0.797850\pi\) | |||||||
\(158\) | 21.5980 | − | 3.94415i | 1.71825 | − | 0.313780i | ||||
\(159\) | 19.3555 | − | 8.89955i | 1.53499 | − | 0.705780i | ||||
\(160\) | −6.68453 | − | 10.7386i | −0.528459 | − | 0.848959i | ||||
\(161\) | 0.544239 | + | 0.749080i | 0.0428920 | + | 0.0590358i | ||||
\(162\) | 12.0258 | − | 4.16896i | 0.944836 | − | 0.327544i | ||||
\(163\) | −0.834692 | + | 1.14885i | −0.0653781 | + | 0.0899853i | −0.840454 | − | 0.541883i | \(-0.817712\pi\) |
0.775076 | + | 0.631868i | \(0.217712\pi\) | |||||||
\(164\) | −1.22887 | − | 3.25242i | −0.0959585 | − | 0.253971i | ||||
\(165\) | 4.04053 | − | 6.68450i | 0.314555 | − | 0.520388i | ||||
\(166\) | −2.93067 | − | 2.79581i | −0.227464 | − | 0.216997i | ||||
\(167\) | 3.66202 | + | 11.2705i | 0.283376 | + | 0.872140i | 0.986881 | + | 0.161450i | \(0.0516171\pi\) |
−0.703505 | + | 0.710690i | \(0.748383\pi\) | |||||||
\(168\) | −2.86253 | + | 2.21560i | −0.220849 | + | 0.170937i | ||||
\(169\) | 2.93595 | + | 9.03593i | 0.225842 | + | 0.695071i | ||||
\(170\) | 9.98102 | − | 4.97745i | 0.765509 | − | 0.381753i | ||||
\(171\) | 2.06613 | + | 8.68256i | 0.158001 | + | 0.663972i | ||||
\(172\) | 4.08861 | + | 2.68590i | 0.311754 | + | 0.204798i | ||||
\(173\) | −0.315397 | − | 0.434107i | −0.0239792 | − | 0.0330046i | 0.796859 | − | 0.604165i | \(-0.206493\pi\) |
−0.820838 | + | 0.571161i | \(0.806493\pi\) | |||||||
\(174\) | 11.2241 | − | 14.9174i | 0.850893 | − | 1.13089i | ||||
\(175\) | 2.35930 | − | 2.84299i | 0.178346 | − | 0.214910i | ||||
\(176\) | −6.94330 | − | 4.10685i | −0.523371 | − | 0.309566i | ||||
\(177\) | −8.45271 | + | 0.991870i | −0.635345 | + | 0.0745535i | ||||
\(178\) | −15.9808 | − | 7.67420i | −1.19781 | − | 0.575205i | ||||
\(179\) | 2.22699 | − | 6.85397i | 0.166453 | − | 0.512290i | −0.832687 | − | 0.553743i | \(-0.813199\pi\) |
0.999140 | + | 0.0414537i | \(0.0131989\pi\) | |||||||
\(180\) | 7.15710 | + | 11.3479i | 0.533459 | + | 0.845826i | ||||
\(181\) | −3.38179 | − | 10.4081i | −0.251366 | − | 0.773626i | −0.994524 | − | 0.104509i | \(-0.966673\pi\) |
0.743158 | − | 0.669116i | \(-0.233327\pi\) | |||||||
\(182\) | −0.659923 | + | 4.91259i | −0.0489167 | + | 0.364145i | ||||
\(183\) | −2.13899 | + | 10.6975i | −0.158119 | + | 0.790781i | ||||
\(184\) | −1.82798 | − | 3.03660i | −0.134761 | − | 0.223861i | ||||
\(185\) | 1.54397 | + | 2.27565i | 0.113515 | + | 0.167309i | ||||
\(186\) | 0.292383 | − | 17.4808i | 0.0214386 | − | 1.28176i | ||||
\(187\) | 4.18091 | − | 5.75453i | 0.305738 | − | 0.420813i | ||||
\(188\) | −12.6992 | − | 15.8523i | −0.926187 | − | 1.15615i | ||||
\(189\) | 3.02225 | − | 2.36787i | 0.219836 | − | 0.172237i | ||||
\(190\) | −8.41898 | + | 4.19847i | −0.610777 | + | 0.304589i | ||||
\(191\) | −6.33074 | − | 4.59955i | −0.458076 | − | 0.332812i | 0.334700 | − | 0.942325i | \(-0.391365\pi\) |
−0.792776 | + | 0.609513i | \(0.791365\pi\) | |||||||
\(192\) | 11.6489 | − | 7.50353i | 0.840688 | − | 0.541520i | ||||
\(193\) | 1.83318 | 0.131955 | 0.0659777 | − | 0.997821i | \(-0.478983\pi\) | ||||
0.0659777 | + | 0.997821i | \(0.478983\pi\) | |||||||
\(194\) | 2.18972 | + | 11.9909i | 0.157213 | + | 0.860894i | ||||
\(195\) | 17.8897 | + | 4.17998i | 1.28111 | + | 0.299335i | ||||
\(196\) | 7.08718 | − | 10.7884i | 0.506227 | − | 0.770604i | ||||
\(197\) | −10.0262 | − | 3.25772i | −0.714340 | − | 0.232103i | −0.0707724 | − | 0.997492i | \(-0.522546\pi\) |
−0.643567 | + | 0.765389i | \(0.722546\pi\) | |||||||
\(198\) | 7.39005 | + | 4.31244i | 0.525188 | + | 0.306472i | ||||
\(199\) | 19.8686i | 1.40845i | 0.709978 | + | 0.704223i | \(0.248705\pi\) | ||||
−0.709978 | + | 0.704223i | \(0.751295\pi\) | |||||||
\(200\) | −9.93712 | + | 10.0625i | −0.702661 | + | 0.711525i | ||||
\(201\) | −7.85613 | + | 13.9953i | −0.554129 | + | 0.987150i | ||||
\(202\) | −11.8433 | − | 21.9504i | −0.833294 | − | 1.54442i | ||||
\(203\) | 1.74017 | − | 5.35570i | 0.122136 | − | 0.375897i | ||||
\(204\) | 5.62090 | + | 10.8481i | 0.393542 | + | 0.759516i | ||||
\(205\) | −3.21672 | + | 2.18247i | −0.224665 | + | 0.152430i | ||||
\(206\) | 7.63168 | − | 1.39367i | 0.531724 | − | 0.0971013i | ||||
\(207\) | 1.95784 | + | 3.20930i | 0.136079 | + | 0.223062i | ||||
\(208\) | 4.14024 | − | 18.5168i | 0.287074 | − | 1.28391i | ||||
\(209\) | −3.52659 | + | 4.85393i | −0.243939 | + | 0.335754i | ||||
\(210\) | 3.15392 | + | 2.53603i | 0.217641 | + | 0.175003i | ||||
\(211\) | −13.5197 | − | 18.6083i | −0.930737 | − | 1.28105i | −0.959571 | − | 0.281465i | \(-0.909180\pi\) |
0.0288343 | − | 0.999584i | \(-0.490820\pi\) | |||||||
\(212\) | −19.1984 | + | 15.3798i | −1.31855 | + | 1.05629i | ||||
\(213\) | 10.1374 | + | 22.0477i | 0.694602 | + | 1.51068i | ||||
\(214\) | −8.07693 | + | 4.35791i | −0.552128 | + | 0.297901i | ||||
\(215\) | 1.85662 | − | 5.14456i | 0.126621 | − | 0.350856i | ||||
\(216\) | −12.3084 | + | 8.03146i | −0.837478 | + | 0.546472i | ||||
\(217\) | −1.62970 | − | 5.01571i | −0.110631 | − | 0.340488i | ||||
\(218\) | 11.6894 | + | 1.57028i | 0.791708 | + | 0.106352i | ||||
\(219\) | 1.81851 | − | 9.09468i | 0.122883 | − | 0.614562i | ||||
\(220\) | −2.65889 | + | 8.61829i | −0.179262 | + | 0.581045i | ||||
\(221\) | 15.9114 | + | 5.16994i | 1.07032 | + | 0.347768i | ||||
\(222\) | −2.46641 | + | 1.72968i | −0.165534 | + | 0.116088i | ||||
\(223\) | 11.1078 | + | 15.2886i | 0.743833 | + | 1.02380i | 0.998389 | + | 0.0567398i | \(0.0180705\pi\) |
−0.254556 | + | 0.967058i | \(0.581929\pi\) | |||||||
\(224\) | 2.58794 | − | 3.28225i | 0.172914 | − | 0.219304i | ||||
\(225\) | 10.4767 | − | 10.7349i | 0.698450 | − | 0.715659i | ||||
\(226\) | −0.726691 | + | 5.40963i | −0.0483388 | + | 0.359843i | ||||
\(227\) | −18.1376 | + | 13.1778i | −1.20384 | + | 0.874639i | −0.994657 | − | 0.103238i | \(-0.967080\pi\) |
−0.209181 | + | 0.977877i | \(0.567080\pi\) | |||||||
\(228\) | −4.74122 | − | 9.15032i | −0.313995 | − | 0.605995i | ||||
\(229\) | 6.33083 | − | 19.4843i | 0.418353 | − | 1.28756i | −0.490864 | − | 0.871236i | \(-0.663319\pi\) |
0.909217 | − | 0.416322i | \(-0.136681\pi\) | |||||||
\(230\) | −2.82616 | + | 2.77775i | −0.186351 | + | 0.183159i | ||||
\(231\) | 2.53090 | + | 0.506061i | 0.166521 | + | 0.0332964i | ||||
\(232\) | −8.40639 | + | 19.8497i | −0.551907 | + | 1.30320i | ||||
\(233\) | −5.52727 | + | 1.79592i | −0.362104 | + | 0.117655i | −0.484418 | − | 0.874837i | \(-0.660968\pi\) |
0.122314 | + | 0.992491i | \(0.460968\pi\) | |||||||
\(234\) | −4.27542 | + | 19.6656i | −0.279493 | + | 1.28558i | ||||
\(235\) | −13.9324 | + | 17.9330i | −0.908849 | + | 1.16982i | ||||
\(236\) | 9.19302 | − | 3.47342i | 0.598415 | − | 0.226100i | ||||
\(237\) | 24.4308 | − | 11.2331i | 1.58695 | − | 0.729670i | ||||
\(238\) | 2.66668 | + | 2.54396i | 0.172855 | + | 0.164901i | ||||
\(239\) | 9.85377 | − | 7.15919i | 0.637388 | − | 0.463089i | −0.221564 | − | 0.975146i | \(-0.571116\pi\) |
0.858952 | + | 0.512057i | \(0.171116\pi\) | |||||||
\(240\) | −11.1899 | − | 10.7139i | −0.722303 | − | 0.691576i | ||||
\(241\) | 9.23220 | + | 6.70758i | 0.594698 | + | 0.432074i | 0.843993 | − | 0.536354i | \(-0.180199\pi\) |
−0.249295 | + | 0.968428i | \(0.580199\pi\) | |||||||
\(242\) | −1.76132 | − | 9.64492i | −0.113222 | − | 0.619999i | ||||
\(243\) | 13.0045 | − | 8.59554i | 0.834238 | − | 0.551404i | ||||
\(244\) | −0.592995 | − | 12.5829i | −0.0379626 | − | 0.805540i | ||||
\(245\) | −13.5747 | − | 4.89900i | −0.867258 | − | 0.312985i | ||||
\(246\) | −2.44496 | − | 3.48636i | −0.155885 | − | 0.222282i | ||||
\(247\) | −13.4213 | − | 4.36084i | −0.853975 | − | 0.277473i | ||||
\(248\) | 4.55752 | + | 19.6668i | 0.289403 | + | 1.24884i | ||||
\(249\) | −4.32572 | − | 2.42821i | −0.274132 | − | 0.153882i | ||||
\(250\) | 13.5269 | + | 8.18673i | 0.855517 | + | 0.517774i | ||||
\(251\) | −24.5997 | −1.55272 | −0.776358 | − | 0.630292i | \(-0.782935\pi\) | ||||
−0.776358 | + | 0.630292i | \(0.782935\pi\) | |||||||
\(252\) | −2.72433 | + | 3.49749i | −0.171617 | + | 0.220321i | ||||
\(253\) | −0.780951 | + | 2.40352i | −0.0490979 | + | 0.151108i | ||||
\(254\) | −2.31319 | − | 1.11083i | −0.145143 | − | 0.0696994i | ||||
\(255\) | 10.3329 | − | 8.93445i | 0.647072 | − | 0.559497i | ||||
\(256\) | −10.9542 | + | 11.6621i | −0.684640 | + | 0.728881i | ||||
\(257\) | 2.38653i | 0.148868i | 0.997226 | + | 0.0744339i | \(0.0237150\pi\) | ||||
−0.997226 | + | 0.0744339i | \(0.976285\pi\) | |||||||
\(258\) | 5.66635 | + | 1.94646i | 0.352771 | + | 0.121181i | ||||
\(259\) | −0.534126 | + | 0.735161i | −0.0331890 | + | 0.0456807i | ||||
\(260\) | −21.2113 | + | 0.316224i | −1.31547 | + | 0.0196114i | ||||
\(261\) | 8.79194 | − | 21.1061i | 0.544207 | − | 1.30643i | ||||
\(262\) | −18.1573 | − | 17.3218i | −1.12176 | − | 1.07014i | ||||
\(263\) | −12.4762 | − | 9.06451i | −0.769318 | − | 0.558942i | 0.132436 | − | 0.991191i | \(-0.457720\pi\) |
−0.901754 | + | 0.432250i | \(0.857720\pi\) | |||||||
\(264\) | −9.48476 | − | 2.76636i | −0.583747 | − | 0.170258i | ||||
\(265\) | 21.7184 | + | 16.8733i | 1.33415 | + | 1.03652i | ||||
\(266\) | −2.24934 | − | 2.14583i | −0.137916 | − | 0.131569i | ||||
\(267\) | −21.2908 | − | 4.25715i | −1.30297 | − | 0.260533i | ||||
\(268\) | 4.89076 | − | 17.8754i | 0.298751 | − | 1.09191i | ||||
\(269\) | 21.7376 | − | 7.06297i | 1.32536 | − | 0.430637i | 0.441031 | − | 0.897492i | \(-0.354613\pi\) |
0.884334 | + | 0.466855i | \(0.154613\pi\) | |||||||
\(270\) | 11.9355 | + | 11.2935i | 0.726371 | + | 0.687302i | ||||
\(271\) | −16.1471 | − | 5.24650i | −0.980865 | − | 0.318702i | −0.225671 | − | 0.974204i | \(-0.572457\pi\) |
−0.755194 | + | 0.655501i | \(0.772457\pi\) | |||||||
\(272\) | −9.32905 | − | 10.5831i | −0.565657 | − | 0.641694i | ||||
\(273\) | 0.707504 | + | 6.02934i | 0.0428201 | + | 0.364912i | ||||
\(274\) | −0.882696 | + | 6.57096i | −0.0533256 | + | 0.396966i | ||||
\(275\) | 10.0628 | + | 0.648635i | 0.606810 | + | 0.0391142i | ||||
\(276\) | −3.09037 | − | 3.04849i | −0.186018 | − | 0.183498i | ||||
\(277\) | −12.5971 | + | 9.15236i | −0.756889 | + | 0.549912i | −0.897955 | − | 0.440088i | \(-0.854947\pi\) |
0.141065 | + | 0.990000i | \(0.454947\pi\) | |||||||
\(278\) | −27.0384 | − | 12.9842i | −1.62166 | − | 0.778740i | ||||
\(279\) | −4.95699 | − | 20.8309i | −0.296767 | − | 1.24711i | ||||
\(280\) | −4.24228 | − | 1.95992i | −0.253525 | − | 0.117128i | ||||
\(281\) | 5.62578 | − | 1.82793i | 0.335606 | − | 0.109045i | −0.136366 | − | 0.990659i | \(-0.543542\pi\) |
0.471972 | + | 0.881614i | \(0.343542\pi\) | |||||||
\(282\) | −19.8783 | − | 14.9566i | −1.18373 | − | 0.890656i | ||||
\(283\) | 29.2694 | − | 9.51022i | 1.73989 | − | 0.565324i | 0.745069 | − | 0.666988i | \(-0.232417\pi\) |
0.994819 | + | 0.101664i | \(0.0324166\pi\) | |||||||
\(284\) | −17.5190 | − | 21.8687i | −1.03956 | − | 1.29767i | ||||
\(285\) | −8.71580 | + | 7.53620i | −0.516280 | + | 0.446406i | ||||
\(286\) | −11.9064 | + | 6.42412i | −0.704043 | + | 0.379866i | ||||
\(287\) | −1.03918 | − | 0.755007i | −0.0613407 | − | 0.0445666i | ||||
\(288\) | 11.5455 | − | 12.4379i | 0.680327 | − | 0.732909i | ||||
\(289\) | −3.68946 | + | 2.68055i | −0.217027 | + | 0.157680i | ||||
\(290\) | 23.7706 | + | 3.97569i | 1.39586 | + | 0.233461i | ||||
\(291\) | 6.23644 | + | 13.5636i | 0.365587 | + | 0.795111i | ||||
\(292\) | 0.504146 | + | 10.6976i | 0.0295029 | + | 0.626032i | ||||
\(293\) | − | 12.0125i | − | 0.701776i | −0.936417 | − | 0.350888i | \(-0.885880\pi\) | ||
0.936417 | − | 0.350888i | \(-0.114120\pi\) | |||||||
\(294\) | 5.13605 | − | 14.9516i | 0.299540 | − | 0.871993i | ||||
\(295\) | −6.16878 | − | 9.09211i | −0.359160 | − | 0.529363i | ||||
\(296\) | 2.27993 | − | 2.62713i | 0.132518 | − | 0.152699i | ||||
\(297\) | 10.0772 | + | 2.87476i | 0.584741 | + | 0.166810i | ||||
\(298\) | −2.81684 | − | 5.22072i | −0.163175 | − | 0.302428i | ||||
\(299\) | −5.94419 | −0.343761 | ||||||||
\(300\) | −8.73796 | + | 14.9549i | −0.504486 | + | 0.863420i | ||||
\(301\) | 1.80729 | 0.104170 | ||||||||
\(302\) | 1.28306 | + | 2.37802i | 0.0738320 | + | 0.136840i | ||||
\(303\) | −20.7130 | − | 22.4522i | −1.18993 | − | 1.28984i | ||||
\(304\) | 7.86905 | + | 8.92683i | 0.451321 | + | 0.511989i | ||||
\(305\) | −13.5276 | + | 3.91885i | −0.774587 | + | 0.224392i | ||||
\(306\) | 9.96102 | + | 11.1665i | 0.569434 | + | 0.638345i | ||||
\(307\) | − | 24.1269i | − | 1.37700i | −0.725239 | − | 0.688498i | \(-0.758271\pi\) | ||
0.725239 | − | 0.688498i | \(-0.241729\pi\) | |||||||
\(308\) | −2.97698 | + | 0.140296i | −0.169629 | + | 0.00799410i | ||||
\(309\) | 8.63263 | − | 3.96923i | 0.491093 | − | 0.225802i | ||||
\(310\) | 20.1985 | − | 10.0728i | 1.14720 | − | 0.572098i | ||||
\(311\) | 15.0379 | − | 10.9257i | 0.852720 | − | 0.619537i | −0.0731745 | − | 0.997319i | \(-0.523313\pi\) |
0.925895 | + | 0.377782i | \(0.123313\pi\) | |||||||
\(312\) | −0.705587 | − | 23.2277i | −0.0399460 | − | 1.31501i | ||||
\(313\) | −1.95261 | − | 1.41866i | −0.110368 | − | 0.0801872i | 0.531232 | − | 0.847226i | \(-0.321729\pi\) |
−0.641600 | + | 0.767039i | \(0.721729\pi\) | |||||||
\(314\) | 25.1087 | − | 13.5474i | 1.41696 | − | 0.764523i | ||||
\(315\) | 4.51180 | + | 2.05222i | 0.254211 | + | 0.115630i | ||||
\(316\) | −24.2325 | + | 19.4126i | −1.36318 | + | 1.09205i | ||||
\(317\) | −11.1398 | + | 3.61953i | −0.625671 | + | 0.203293i | −0.604657 | − | 0.796486i | \(-0.706690\pi\) |
−0.0210145 | + | 0.999779i | \(0.506690\pi\) | |||||||
\(318\) | −18.1137 | + | 24.0742i | −1.01577 | + | 1.35002i | ||||
\(319\) | 14.6180 | − | 4.74967i | 0.818449 | − | 0.265930i | ||||
\(320\) | 15.5309 | + | 8.87646i | 0.868203 | + | 0.496209i | ||||
\(321\) | −8.26157 | + | 7.62160i | −0.461116 | + | 0.425396i | ||||
\(322\) | −1.18039 | − | 0.566840i | −0.0657807 | − | 0.0315887i | ||||
\(323\) | −8.48882 | + | 6.16749i | −0.472331 | + | 0.343168i | ||||
\(324\) | −12.1678 | + | 13.2644i | −0.675991 | + | 0.736910i | ||||
\(325\) | 5.86299 | + | 22.9815i | 0.325220 | + | 1.27478i | ||||
\(326\) | 0.267376 | − | 1.99039i | 0.0148086 | − | 0.110238i | ||||
\(327\) | 14.3467 | − | 1.68349i | 0.793375 | − | 0.0930974i | ||||
\(328\) | 3.71355 | + | 3.22277i | 0.205047 | + | 0.177948i | ||||
\(329\) | −7.13676 | − | 2.31887i | −0.393462 | − | 0.127844i | ||||
\(330\) | −0.540042 | + | 11.0329i | −0.0297283 | + | 0.607342i | ||||
\(331\) | −10.7215 | + | 3.48361i | −0.589305 | + | 0.191477i | −0.588465 | − | 0.808523i | \(-0.700267\pi\) |
−0.000840117 | 1.00000i | \(0.500267\pi\) | ||||||||
\(332\) | 5.52500 | + | 1.51166i | 0.303224 | + | 0.0829631i | ||||
\(333\) | −2.40175 | + | 2.80072i | −0.131615 | + | 0.153478i | ||||
\(334\) | −12.1263 | − | 11.5683i | −0.663520 | − | 0.632987i | ||||
\(335\) | −20.7091 | − | 0.666749i | −1.13146 | − | 0.0364284i | ||||
\(336\) | 2.07488 | − | 4.67982i | 0.113194 | − | 0.255305i | ||||
\(337\) | 27.8332 | + | 20.2220i | 1.51617 | + | 1.10156i | 0.963344 | + | 0.268269i | \(0.0864517\pi\) |
0.552829 | + | 0.833295i | \(0.313548\pi\) | |||||||
\(338\) | −9.72199 | − | 9.27462i | −0.528807 | − | 0.504473i | ||||
\(339\) | 0.779086 | + | 6.63937i | 0.0423142 | + | 0.360601i | ||||
\(340\) | −9.07996 | + | 12.8975i | −0.492430 | + | 0.699466i | ||||
\(341\) | 8.46087 | − | 11.6454i | 0.458182 | − | 0.630633i | ||||
\(342\) | −8.40211 | − | 9.41891i | −0.454334 | − | 0.509317i | ||||
\(343\) | − | 9.94103i | − | 0.536765i | ||||||
\(344\) | −6.89238 | − | 0.597276i | −0.371612 | − | 0.0322030i | ||||
\(345\) | −2.51062 | + | 4.15348i | −0.135167 | + | 0.223616i | ||||
\(346\) | 0.684062 | + | 0.328495i | 0.0367754 | + | 0.0176600i | ||||
\(347\) | −1.05592 | + | 3.24978i | −0.0566846 | + | 0.174457i | −0.975390 | − | 0.220486i | \(-0.929236\pi\) |
0.918706 | + | 0.394943i | \(0.129236\pi\) | |||||||
\(348\) | −3.95207 | + | 26.1036i | −0.211853 | + | 1.39930i | ||||
\(349\) | 8.80176 | 0.471147 | 0.235574 | − | 0.971857i | \(-0.424303\pi\) | ||||
0.235574 | + | 0.971857i | \(0.424303\pi\) | |||||||
\(350\) | −1.02725 | + | 5.12275i | −0.0549091 | + | 0.273822i | ||||
\(351\) | 0.893749 | + | 24.6318i | 0.0477048 | + | 1.31475i | ||||
\(352\) | 11.3996 | + | 0.448799i | 0.607598 | + | 0.0239211i | ||||
\(353\) | 6.16148 | + | 2.00199i | 0.327943 | + | 0.106555i | 0.468361 | − | 0.883537i | \(-0.344845\pi\) |
−0.140418 | + | 0.990092i | \(0.544845\pi\) | |||||||
\(354\) | 9.85425 | − | 6.91073i | 0.523747 | − | 0.367301i | ||||
\(355\) | −19.2202 | + | 24.7392i | −1.02010 | + | 1.31302i | ||||
\(356\) | 25.0433 | − | 1.18021i | 1.32729 | − | 0.0625511i | ||||
\(357\) | 3.93606 | + | 2.20948i | 0.208318 | + | 0.116938i | ||||
\(358\) | 1.83091 | + | 10.0260i | 0.0967664 | + | 0.529890i | ||||
\(359\) | −16.1179 | − | 11.7103i | −0.850668 | − | 0.618046i | 0.0746622 | − | 0.997209i | \(-0.476212\pi\) |
−0.925330 | + | 0.379162i | \(0.876212\pi\) | |||||||
\(360\) | −16.5283 | − | 9.31754i | −0.871116 | − | 0.491078i | ||||
\(361\) | −8.21101 | + | 5.96565i | −0.432159 | + | 0.313982i | ||||
\(362\) | 11.1983 | + | 10.6830i | 0.588570 | + | 0.561486i | ||||
\(363\) | −5.01632 | − | 10.9099i | −0.263288 | − | 0.572623i | ||||
\(364\) | −2.47760 | − | 6.55740i | −0.129861 | − | 0.343701i | ||||
\(365\) | 11.5007 | − | 3.33169i | 0.601976 | − | 0.174388i | ||||
\(366\) | −4.52146 | − | 14.7506i | −0.236341 | − | 0.771025i | ||||
\(367\) | 18.0898 | − | 5.87772i | 0.944278 | − | 0.306814i | 0.203890 | − | 0.978994i | \(-0.434642\pi\) |
0.740388 | + | 0.672179i | \(0.234642\pi\) | |||||||
\(368\) | 4.31428 | + | 2.55183i | 0.224898 | + | 0.133023i | ||||
\(369\) | −3.95892 | − | 3.39496i | −0.206093 | − | 0.176735i | ||||
\(370\) | −3.44981 | − | 1.79547i | −0.179347 | − | 0.0933421i | ||||
\(371\) | −2.80835 | + | 8.64321i | −0.145802 | + | 0.448733i | ||||
\(372\) | 11.3750 | + | 21.9531i | 0.589765 | + | 1.13822i | ||||
\(373\) | 0.455607 | − | 0.331018i | 0.0235904 | − | 0.0171395i | −0.575928 | − | 0.817501i | \(-0.695359\pi\) |
0.599518 | + | 0.800361i | \(0.295359\pi\) | |||||||
\(374\) | −1.33926 | + | 9.96973i | −0.0692517 | + | 0.515522i | ||||
\(375\) | 18.5346 | + | 5.60985i | 0.957120 | + | 0.289692i | ||||
\(376\) | 26.4508 | + | 11.2020i | 1.36410 | + | 0.577697i | ||||
\(377\) | 21.2496 | + | 29.2476i | 1.09441 | + | 1.50633i | ||||
\(378\) | −2.17142 | + | 4.97660i | −0.111686 | + | 0.255969i | ||||
\(379\) | 14.3712 | + | 4.66948i | 0.738199 | + | 0.239855i | 0.653896 | − | 0.756585i | \(-0.273134\pi\) |
0.0843032 | + | 0.996440i | \(0.473134\pi\) | |||||||
\(380\) | 7.65893 | − | 10.8790i | 0.392895 | − | 0.558083i | ||||
\(381\) | −3.08180 | − | 0.616214i | −0.157885 | − | 0.0315696i | ||||
\(382\) | 10.9680 | + | 1.47337i | 0.561173 | + | 0.0753840i | ||||
\(383\) | 2.52352 | + | 7.76661i | 0.128946 | + | 0.396855i | 0.994599 | − | 0.103789i | \(-0.0330966\pi\) |
−0.865653 | + | 0.500644i | \(0.833097\pi\) | |||||||
\(384\) | −9.45949 | + | 17.1615i | −0.482728 | + | 0.875770i | ||||
\(385\) | 0.927154 | + | 3.20047i | 0.0472522 | + | 0.163111i | ||||
\(386\) | −2.28159 | + | 1.23103i | −0.116130 | + | 0.0626580i | ||||
\(387\) | 7.31408 | + | 0.590359i | 0.371796 | + | 0.0300096i | ||||
\(388\) | −10.7776 | − | 13.4535i | −0.547148 | − | 0.682996i | ||||
\(389\) | −2.11053 | − | 2.90489i | −0.107008 | − | 0.147284i | 0.752154 | − | 0.658987i | \(-0.229015\pi\) |
−0.859162 | + | 0.511703i | \(0.829015\pi\) | |||||||
\(390\) | −25.0727 | + | 6.81101i | −1.26960 | + | 0.344889i | ||||
\(391\) | −2.59785 | + | 3.57563i | −0.131379 | + | 0.180827i | ||||
\(392\) | −1.57601 | + | 18.1866i | −0.0796005 | + | 0.918564i | ||||
\(393\) | −26.8005 | − | 15.0443i | −1.35191 | − | 0.758883i | ||||
\(394\) | 14.6664 | − | 2.67832i | 0.738882 | − | 0.134932i | ||||
\(395\) | 27.4133 | + | 21.2977i | 1.37931 | + | 1.07160i | ||||
\(396\) | −12.0937 | − | 0.404669i | −0.607729 | − | 0.0203354i | ||||
\(397\) | 7.18092 | − | 22.1006i | 0.360400 | − | 1.10920i | −0.592412 | − | 0.805635i | \(-0.701824\pi\) |
0.952812 | − | 0.303561i | \(-0.0981758\pi\) | |||||||
\(398\) | −13.3423 | − | 24.7286i | −0.668790 | − | 1.23953i | ||||
\(399\) | −3.32006 | − | 1.86369i | −0.166211 | − | 0.0933012i | ||||
\(400\) | 5.61057 | − | 19.1969i | 0.280529 | − | 0.959846i | ||||
\(401\) | − | 19.9923i | − | 0.998366i | −0.866497 | − | 0.499183i | \(-0.833634\pi\) | ||
0.866497 | − | 0.499183i | \(-0.166366\pi\) | |||||||
\(402\) | 0.379583 | − | 22.6942i | 0.0189319 | − | 1.13189i | ||||
\(403\) | 32.1998 | + | 10.4624i | 1.60399 | + | 0.521168i | ||||
\(404\) | 29.4806 | + | 19.3665i | 1.46672 | + | 0.963519i | ||||
\(405\) | 17.5889 | + | 9.77913i | 0.873998 | + | 0.485929i | ||||
\(406\) | 1.43067 | + | 7.83433i | 0.0710031 | + | 0.388811i | ||||
\(407\) | −2.48025 | −0.122941 | ||||||||
\(408\) | −14.2806 | − | 9.72698i | −0.706995 | − | 0.481557i | ||||
\(409\) | 0.968333 | + | 0.703535i | 0.0478810 | + | 0.0347876i | 0.611468 | − | 0.791269i | \(-0.290579\pi\) |
−0.563587 | + | 0.826056i | \(0.690579\pi\) | |||||||
\(410\) | 2.53797 | − | 4.87643i | 0.125341 | − | 0.240830i | ||||
\(411\) | 0.946339 | + | 8.06470i | 0.0466795 | + | 0.397802i | ||||
\(412\) | −8.56256 | + | 6.85946i | −0.421847 | + | 0.337941i | ||||
\(413\) | 2.13404 | − | 2.93725i | 0.105009 | − | 0.144533i | ||||
\(414\) | −4.59188 | − | 2.67958i | −0.225679 | − | 0.131694i | ||||
\(415\) | 0.206082 | − | 6.40086i | 0.0101162 | − | 0.314206i | ||||
\(416\) | 7.28161 | + | 25.8265i | 0.357010 | + | 1.26625i | ||||
\(417\) | −36.0225 | − | 7.20279i | −1.76403 | − | 0.352722i | ||||
\(418\) | 1.12967 | − | 8.40945i | 0.0552538 | − | 0.411320i | ||||
\(419\) | 7.01031 | + | 21.5755i | 0.342476 | + | 1.05403i | 0.962921 | + | 0.269783i | \(0.0869519\pi\) |
−0.620445 | + | 0.784250i | \(0.713048\pi\) | |||||||
\(420\) | −5.62841 | − | 1.03841i | −0.274638 | − | 0.0506693i | ||||
\(421\) | −5.11841 | + | 15.7529i | −0.249456 | + | 0.767747i | 0.745415 | + | 0.666600i | \(0.232251\pi\) |
−0.994871 | + | 0.101147i | \(0.967749\pi\) | |||||||
\(422\) | 29.3228 | + | 14.0812i | 1.42741 | + | 0.685461i | ||||
\(423\) | −28.1249 | − | 11.7157i | −1.36748 | − | 0.569638i | ||||
\(424\) | 13.5665 | − | 32.0341i | 0.658848 | − | 1.55572i | ||||
\(425\) | 16.3865 | + | 6.51704i | 0.794862 | + | 0.316123i | ||||
\(426\) | −27.4227 | − | 20.6332i | −1.32864 | − | 0.999681i | ||||
\(427\) | −2.73547 | − | 3.76505i | −0.132378 | − | 0.182203i | ||||
\(428\) | 7.12615 | − | 10.8478i | 0.344456 | − | 0.524347i | ||||
\(429\) | −12.1786 | + | 11.2352i | −0.587989 | + | 0.542442i | ||||
\(430\) | 1.14395 | + | 7.64973i | 0.0551660 | + | 0.368903i | ||||
\(431\) | 11.0015 | + | 33.8590i | 0.529921 | + | 1.63093i | 0.754374 | + | 0.656445i | \(0.227941\pi\) |
−0.224453 | + | 0.974485i | \(0.572059\pi\) | |||||||
\(432\) | 9.92573 | − | 18.2614i | 0.477552 | − | 0.878604i | ||||
\(433\) | −6.69518 | − | 20.6056i | −0.321750 | − | 0.990244i | −0.972886 | − | 0.231284i | \(-0.925707\pi\) |
0.651137 | − | 0.758961i | \(-0.274293\pi\) | |||||||
\(434\) | 5.39653 | + | 5.14820i | 0.259042 | + | 0.247121i | ||||
\(435\) | 29.4117 | − | 2.49491i | 1.41018 | − | 0.119622i | ||||
\(436\) | −15.6032 | + | 5.89540i | −0.747259 | + | 0.282339i | ||||
\(437\) | 2.19128 | − | 3.01604i | 0.104823 | − | 0.144277i | ||||
\(438\) | 3.84401 | + | 12.5405i | 0.183674 | + | 0.599208i | ||||
\(439\) | −7.99755 | − | 11.0077i | −0.381702 | − | 0.525368i | 0.574332 | − | 0.818622i | \(-0.305262\pi\) |
−0.956035 | + | 0.293254i | \(0.905262\pi\) | |||||||
\(440\) | −2.47815 | − | 12.5119i | −0.118141 | − | 0.596482i | ||||
\(441\) | 1.55776 | − | 19.2994i | 0.0741789 | − | 0.919018i | ||||
\(442\) | −23.2753 | + | 4.25043i | −1.10709 | + | 0.202173i | ||||
\(443\) | −22.1217 | −1.05104 | −0.525518 | − | 0.850782i | \(-0.676128\pi\) | ||||
−0.525518 | + | 0.850782i | \(0.676128\pi\) | |||||||
\(444\) | 1.90818 | − | 3.80903i | 0.0905583 | − | 0.180769i | ||||
\(445\) | −7.79952 | − | 26.9234i | −0.369733 | − | 1.27629i | ||||
\(446\) | −24.0915 | − | 11.5691i | −1.14077 | − | 0.547811i | ||||
\(447\) | −4.92641 | − | 5.34006i | −0.233011 | − | 0.252576i | ||||
\(448\) | −1.01685 | + | 5.82299i | −0.0480415 | + | 0.275110i | ||||
\(449\) | − | 1.26422i | − | 0.0596623i | −0.999555 | − | 0.0298312i | \(-0.990503\pi\) | ||
0.999555 | − | 0.0298312i | \(-0.00949696\pi\) | |||||||
\(450\) | −5.83066 | + | 20.3962i | −0.274860 | + | 0.961484i | ||||
\(451\) | − | 3.50593i | − | 0.165088i | ||||||
\(452\) | −2.72827 | − | 7.22086i | −0.128327 | − | 0.339641i | ||||
\(453\) | 2.24396 | + | 2.43238i | 0.105431 | + | 0.114283i | ||||
\(454\) | 13.7250 | − | 28.5811i | 0.644146 | − | 1.34138i | ||||
\(455\) | −6.48543 | + | 4.40021i | −0.304041 | + | 0.206285i | ||||
\(456\) | 12.0457 | + | 8.20470i | 0.564090 | + | 0.384220i | ||||
\(457\) | 24.3254 | 1.13789 | 0.568946 | − | 0.822375i | \(-0.307351\pi\) | ||||
0.568946 | + | 0.822375i | \(0.307351\pi\) | |||||||
\(458\) | 5.20486 | + | 28.5016i | 0.243207 | + | 1.33179i | ||||
\(459\) | 15.2075 | + | 10.2275i | 0.709824 | + | 0.477377i | ||||
\(460\) | 1.65212 | − | 5.35505i | 0.0770307 | − | 0.249681i | ||||
\(461\) | −8.55950 | − | 11.7811i | −0.398656 | − | 0.548702i | 0.561750 | − | 0.827307i | \(-0.310128\pi\) |
−0.960406 | + | 0.278604i | \(0.910128\pi\) | |||||||
\(462\) | −3.48982 | + | 1.06973i | −0.162361 | + | 0.0497682i | ||||
\(463\) | 0.519225 | − | 0.714652i | 0.0241304 | − | 0.0332127i | −0.796781 | − | 0.604268i | \(-0.793466\pi\) |
0.820912 | + | 0.571055i | \(0.193466\pi\) | |||||||
\(464\) | −2.86699 | − | 30.3503i | −0.133097 | − | 1.40898i | ||||
\(465\) | 20.9106 | − | 18.0806i | 0.969708 | − | 0.838467i | ||||
\(466\) | 5.67328 | − | 5.94694i | 0.262809 | − | 0.275486i | ||||
\(467\) | −0.698061 | − | 2.14841i | −0.0323024 | − | 0.0994167i | 0.933605 | − | 0.358303i | \(-0.116645\pi\) |
−0.965908 | + | 0.258886i | \(0.916645\pi\) | |||||||
\(468\) | −7.88482 | − | 27.3471i | −0.364476 | − | 1.26412i | ||||
\(469\) | −2.11574 | − | 6.51157i | −0.0976957 | − | 0.300676i | ||||
\(470\) | 5.29782 | − | 31.6756i | 0.244370 | − | 1.46109i | ||||
\(471\) | 25.6826 | − | 23.6932i | 1.18339 | − | 1.09172i | ||||
\(472\) | −9.10921 | + | 10.4964i | −0.419285 | + | 0.483137i | ||||
\(473\) | 2.89946 | + | 3.99076i | 0.133317 | + | 0.183495i | ||||
\(474\) | −22.8634 | + | 30.3868i | −1.05015 | + | 1.39571i | ||||
\(475\) | −13.8220 | − | 5.49712i | −0.634197 | − | 0.252225i | ||||
\(476\) | −5.02731 | − | 1.37549i | −0.230426 | − | 0.0630454i | ||||
\(477\) | −14.1887 | + | 34.0616i | −0.649657 | + | 1.55958i | ||||
\(478\) | −7.45649 | + | 15.5275i | −0.341052 | + | 0.710210i | ||||
\(479\) | −6.91709 | + | 21.2886i | −0.316050 | + | 0.972702i | 0.659270 | + | 0.751906i | \(0.270865\pi\) |
−0.975320 | + | 0.220796i | \(0.929135\pi\) | |||||||
\(480\) | 21.1217 | + | 5.82023i | 0.964068 | + | 0.265656i | ||||
\(481\) | −1.80272 | − | 5.54821i | −0.0821971 | − | 0.252977i | ||||
\(482\) | −15.9948 | − | 2.14863i | −0.728543 | − | 0.0978674i | ||||
\(483\) | −1.57260 | − | 0.314446i | −0.0715558 | − | 0.0143078i | ||||
\(484\) | 8.66899 | + | 10.8214i | 0.394045 | + | 0.491881i | ||||
\(485\) | −11.8241 | + | 15.2194i | −0.536906 | + | 0.691077i | ||||
\(486\) | −10.4133 | + | 19.4310i | −0.472359 | + | 0.881406i | ||||
\(487\) | 0.946906 | − | 1.30330i | 0.0429084 | − | 0.0590584i | −0.787024 | − | 0.616923i | \(-0.788379\pi\) |
0.829932 | + | 0.557864i | \(0.188379\pi\) | |||||||
\(488\) | 9.18785 | + | 15.2626i | 0.415914 | + | 0.690906i | ||||
\(489\) | −0.286653 | − | 2.44286i | −0.0129629 | − | 0.110470i | ||||
\(490\) | 20.1850 | − | 3.01849i | 0.911867 | − | 0.136361i | ||||
\(491\) | −13.8437 | − | 10.0580i | −0.624757 | − | 0.453912i | 0.229823 | − | 0.973232i | \(-0.426185\pi\) |
−0.854580 | + | 0.519320i | \(0.826185\pi\) | |||||||
\(492\) | 5.38421 | + | 2.69729i | 0.242739 | + | 0.121603i | ||||
\(493\) | 26.8803 | 1.21063 | ||||||||
\(494\) | 19.6327 | − | 3.58524i | 0.883315 | − | 0.161307i | ||||
\(495\) | 2.70674 | + | 13.2551i | 0.121659 | + | 0.595774i | ||||
\(496\) | −18.8791 | − | 21.4169i | −0.847698 | − | 0.961648i | ||||
\(497\) | −9.84539 | − | 3.19896i | −0.441626 | − | 0.143493i | ||||
\(498\) | 7.01444 | + | 0.117323i | 0.314325 | + | 0.00525738i | ||||
\(499\) | 10.7652i | 0.481918i | 0.970535 | + | 0.240959i | \(0.0774620\pi\) | ||||
−0.970535 | + | 0.240959i | \(0.922538\pi\) | |||||||
\(500\) | −22.3333 | − | 1.10556i | −0.998777 | − | 0.0494423i | ||||
\(501\) | −17.8986 | − | 10.0472i | −0.799650 | − | 0.448877i | ||||
\(502\) | 30.6169 | − | 16.5194i | 1.36650 | − | 0.737296i | ||||
\(503\) | −2.71748 | + | 8.36356i | −0.121167 | + | 0.372912i | −0.993183 | − | 0.116564i | \(-0.962812\pi\) |
0.872017 | + | 0.489476i | \(0.162812\pi\) | |||||||
\(504\) | 1.04207 | − | 6.18247i | 0.0464173 | − | 0.275389i | ||||
\(505\) | 13.3871 | − | 37.0944i | 0.595716 | − | 1.65068i | ||||
\(506\) | −0.642054 | − | 3.51587i | −0.0285428 | − | 0.156299i | ||||
\(507\) | −14.3498 | − | 8.05516i | −0.637299 | − | 0.357742i | ||||
\(508\) | 3.62497 | − | 0.170834i | 0.160832 | − | 0.00757951i | ||||
\(509\) | −15.2010 | + | 20.9223i | −0.673771 | + | 0.927366i | −0.999838 | − | 0.0179806i | \(-0.994276\pi\) |
0.326068 | + | 0.945346i | \(0.394276\pi\) | |||||||
\(510\) | −6.86070 | + | 18.0587i | −0.303797 | + | 0.799654i | ||||
\(511\) | 2.32561 | + | 3.20093i | 0.102879 | + | 0.141601i | ||||
\(512\) | 5.80230 | − | 21.8708i | 0.256428 | − | 0.966563i | ||||
\(513\) | −12.8275 | − | 8.62686i | −0.566347 | − | 0.380885i | ||||
\(514\) | −1.60262 | − | 2.97030i | −0.0706887 | − | 0.131014i | ||||
\(515\) | 9.68649 | + | 7.52555i | 0.426838 | + | 0.331615i | ||||
\(516\) | −8.35949 | + | 1.38253i | −0.368006 | + | 0.0608626i | ||||
\(517\) | −6.32918 | − | 19.4792i | −0.278357 | − | 0.856695i | ||||
\(518\) | 0.171096 | − | 1.27367i | 0.00751751 | − | 0.0559618i | ||||
\(519\) | 0.911355 | + | 0.182228i | 0.0400040 | + | 0.00799891i | ||||
\(520\) | 26.1874 | − | 14.6376i | 1.14839 | − | 0.641899i | ||||
\(521\) | −15.8802 | − | 5.15978i | −0.695723 | − | 0.226054i | −0.0602569 | − | 0.998183i | \(-0.519192\pi\) |
−0.635466 | + | 0.772129i | \(0.719192\pi\) | |||||||
\(522\) | 3.23081 | + | 32.1728i | 0.141409 | + | 1.40817i | ||||
\(523\) | 5.98318 | + | 8.23514i | 0.261626 | + | 0.360097i | 0.919540 | − | 0.392995i | \(-0.128561\pi\) |
−0.657914 | + | 0.753093i | \(0.728561\pi\) | |||||||
\(524\) | 34.2308 | + | 9.36567i | 1.49538 | + | 0.409141i | ||||
\(525\) | 0.335405 | + | 6.39016i | 0.0146383 | + | 0.278890i | ||||
\(526\) | 21.6151 | + | 2.90362i | 0.942463 | + | 0.126604i | ||||
\(527\) | 20.3661 | − | 14.7968i | 0.887161 | − | 0.644560i | ||||
\(528\) | 13.6625 | − | 2.92625i | 0.594584 | − | 0.127349i | ||||
\(529\) | −6.62214 | + | 20.3809i | −0.287919 | + | 0.886124i | ||||
\(530\) | −38.3618 | − | 6.41610i | −1.66633 | − | 0.278698i | ||||
\(531\) | 9.59591 | − | 11.1900i | 0.416427 | − | 0.485602i | ||||
\(532\) | 4.24053 | + | 1.16022i | 0.183850 | + | 0.0503020i | ||||
\(533\) | 7.84260 | − | 2.54822i | 0.339701 | − | 0.110375i | ||||
\(534\) | 29.3575 | − | 8.99888i | 1.27042 | − | 0.389420i | ||||
\(535\) | −13.6494 | − | 4.92594i | −0.590114 | − | 0.212967i | ||||
\(536\) | 5.91674 | + | 25.5321i | 0.255564 | + | 1.10282i | ||||
\(537\) | 5.21451 | + | 11.3410i | 0.225023 | + | 0.489400i | ||||
\(538\) | −22.3118 | + | 23.3880i | −0.961930 | + | 1.00833i | ||||
\(539\) | 10.5303 | − | 7.65068i | 0.453570 | − | 0.329538i | ||||
\(540\) | −22.4389 | − | 6.04099i | −0.965619 | − | 0.259963i | ||||
\(541\) | −2.35065 | − | 1.70785i | −0.101062 | − | 0.0734260i | 0.536106 | − | 0.844150i | \(-0.319895\pi\) |
−0.637169 | + | 0.770724i | \(0.719895\pi\) | |||||||
\(542\) | 23.6200 | − | 4.31338i | 1.01456 | − | 0.185276i | ||||
\(543\) | 16.5289 | + | 9.27837i | 0.709324 | + | 0.398173i | ||||
\(544\) | 18.7179 | + | 6.90708i | 0.802522 | + | 0.296139i | ||||
\(545\) | 10.4702 | + | 15.4320i | 0.448495 | + | 0.661033i | ||||
\(546\) | −4.92944 | − | 7.02906i | −0.210961 | − | 0.300816i | ||||
\(547\) | 19.2639 | + | 6.25923i | 0.823666 | + | 0.267625i | 0.690375 | − | 0.723452i | \(-0.257446\pi\) |
0.133291 | + | 0.991077i | \(0.457446\pi\) | |||||||
\(548\) | −3.31397 | − | 8.77102i | −0.141566 | − | 0.374680i | ||||
\(549\) | −9.84054 | − | 16.1307i | −0.419984 | − | 0.688440i | ||||
\(550\) | −12.9598 | + | 5.95016i | −0.552609 | + | 0.253716i | ||||
\(551\) | −22.6735 | −0.965924 | ||||||||
\(552\) | 5.89345 | + | 1.71891i | 0.250842 | + | 0.0731615i | ||||
\(553\) | −3.54474 | + | 10.9096i | −0.150737 | + | 0.463922i | ||||
\(554\) | 9.53244 | − | 19.8505i | 0.404995 | − | 0.843365i | ||||
\(555\) | −4.63820 | − | 1.08373i | −0.196881 | − | 0.0460017i | ||||
\(556\) | 42.3715 | − | 1.99684i | 1.79695 | − | 0.0846847i | ||||
\(557\) | 0.501584i | 0.0212528i | 0.999944 | + | 0.0106264i | \(0.00338255\pi\) | ||||
−0.999944 | + | 0.0106264i | \(0.996617\pi\) | |||||||
\(558\) | 20.1580 | + | 22.5975i | 0.853358 | + | 0.956630i | ||||
\(559\) | −6.81974 | + | 9.38656i | −0.288444 | + | 0.397009i | ||||
\(560\) | 6.59612 | − | 0.409479i | 0.278737 | − | 0.0173036i | ||||
\(561\) | 1.43583 | + | 12.2361i | 0.0606206 | + | 0.516608i | ||||
\(562\) | −5.77438 | + | 6.05292i | −0.243578 | + | 0.255327i | ||||
\(563\) | 4.55684 | + | 3.31074i | 0.192048 | + | 0.139531i | 0.679654 | − | 0.733533i | \(-0.262130\pi\) |
−0.487606 | + | 0.873064i | \(0.662130\pi\) | |||||||
\(564\) | 34.7845 | + | 5.26634i | 1.46469 | + | 0.221753i | ||||
\(565\) | −7.14160 | + | 4.84540i | −0.300449 | + | 0.203848i | ||||
\(566\) | −30.0426 | + | 31.4918i | −1.26278 | + | 1.32370i | ||||
\(567\) | −1.06657 | + | 6.56390i | −0.0447915 | + | 0.275658i | ||||
\(568\) | 36.4898 | + | 15.4535i | 1.53108 | + | 0.648413i | ||||
\(569\) | −19.3311 | + | 6.28105i | −0.810401 | + | 0.263315i | −0.684768 | − | 0.728762i | \(-0.740096\pi\) |
−0.125633 | + | 0.992077i | \(0.540096\pi\) | |||||||
\(570\) | 5.78699 | − | 15.2325i | 0.242390 | − | 0.638020i | ||||
\(571\) | −30.1588 | − | 9.79917i | −1.26210 | − | 0.410083i | −0.399861 | − | 0.916576i | \(-0.630942\pi\) |
−0.862244 | + | 0.506493i | \(0.830942\pi\) | |||||||
\(572\) | 10.5049 | − | 15.9910i | 0.439231 | − | 0.668619i | ||||
\(573\) | 13.4613 | − | 1.57960i | 0.562355 | − | 0.0659886i | ||||
\(574\) | 1.80038 | + | 0.241850i | 0.0751463 | + | 0.0100946i | ||||
\(575\) | −6.25262 | − | 0.403036i | −0.260752 | − | 0.0168077i | ||||
\(576\) | −6.01728 | + | 23.2334i | −0.250720 | + | 0.968060i | ||||
\(577\) | −32.6795 | + | 23.7431i | −1.36047 | + | 0.988437i | −0.362052 | + | 0.932158i | \(0.617924\pi\) |
−0.998415 | + | 0.0562794i | \(0.982076\pi\) | |||||||
\(578\) | 2.79187 | − | 5.81382i | 0.116126 | − | 0.241823i | ||||
\(579\) | −2.33375 | + | 2.15297i | −0.0969874 | + | 0.0894744i | ||||
\(580\) | −32.2549 | + | 11.0145i | −1.33931 | + | 0.457351i | ||||
\(581\) | 2.01263 | − | 0.653942i | 0.0834978 | − | 0.0271301i | ||||
\(582\) | −16.8703 | − | 12.6934i | −0.699294 | − | 0.526157i | ||||
\(583\) | −23.5910 | + | 7.66517i | −0.977038 | + | 0.317459i | ||||
\(584\) | −7.81123 | − | 12.9758i | −0.323231 | − | 0.536943i | ||||
\(585\) | −27.6838 | + | 15.6891i | −1.14459 | + | 0.648665i | ||||
\(586\) | 8.06672 | + | 14.9508i | 0.333233 | + | 0.617613i | ||||
\(587\) | −29.8263 | − | 21.6701i | −1.23106 | − | 0.894421i | −0.234095 | − | 0.972214i | \(-0.575213\pi\) |
−0.996970 | + | 0.0777929i | \(0.975213\pi\) | |||||||
\(588\) | 3.64803 | + | 22.0578i | 0.150442 | + | 0.909650i | ||||
\(589\) | −17.1788 | + | 12.4811i | −0.707839 | + | 0.514275i | ||||
\(590\) | 13.7833 | + | 7.17360i | 0.567450 | + | 0.295333i | ||||
\(591\) | 16.5900 | − | 7.62798i | 0.682422 | − | 0.313773i | ||||
\(592\) | −1.07342 | + | 4.80079i | −0.0441175 | + | 0.197311i | ||||
\(593\) | − | 3.60378i | − | 0.147989i | −0.997259 | − | 0.0739947i | \(-0.976425\pi\) | ||
0.997259 | − | 0.0739947i | \(-0.0235748\pi\) | |||||||
\(594\) | −14.4727 | + | 3.18921i | −0.593822 | + | 0.130855i | ||||
\(595\) | −0.187518 | + | 5.82427i | −0.00768748 | + | 0.238772i | ||||
\(596\) | 7.01172 | + | 4.60616i | 0.287211 | + | 0.188676i | ||||
\(597\) | −23.3346 | − | 25.2939i | −0.955020 | − | 1.03521i | ||||
\(598\) | 7.39818 | − | 3.99169i | 0.302534 | − | 0.163232i | ||||
\(599\) | −11.2701 | −0.460484 | −0.230242 | − | 0.973133i | \(-0.573952\pi\) | ||||
−0.230242 | + | 0.973133i | \(0.573952\pi\) | |||||||
\(600\) | 0.832716 | − | 24.4807i | 0.0339955 | − | 0.999422i | ||||
\(601\) | −26.8415 | −1.09489 | −0.547443 | − | 0.836843i | \(-0.684399\pi\) | ||||
−0.547443 | + | 0.836843i | \(0.684399\pi\) | |||||||
\(602\) | −2.24936 | + | 1.21365i | −0.0916773 | + | 0.0494645i | ||||
\(603\) | −6.43534 | − | 27.0434i | −0.262067 | − | 1.10129i | ||||
\(604\) | −3.19382 | − | 2.09809i | −0.129955 | − | 0.0853702i | ||||
\(605\) | 9.51079 | − | 12.2418i | 0.386669 | − | 0.497700i | ||||
\(606\) | 40.8568 | + | 14.0348i | 1.65969 | + | 0.570125i | ||||
\(607\) | 18.6629i | 0.757503i | 0.925498 | + | 0.378751i | \(0.123646\pi\) | ||||
−0.925498 | + | 0.378751i | \(0.876354\pi\) | |||||||
\(608\) | −15.7885 | − | 5.82611i | −0.640308 | − | 0.236280i | ||||
\(609\) | 4.07463 | + | 8.86187i | 0.165112 | + | 0.359101i | ||||
\(610\) | 14.2049 | − | 13.9616i | 0.575140 | − | 0.565288i | ||||
\(611\) | 38.9739 | − | 28.3162i | 1.57672 | − | 1.14555i | ||||
\(612\) | −19.8962 | − | 7.20879i | −0.804255 | − | 0.291398i | ||||
\(613\) | −35.3535 | − | 25.6858i | −1.42791 | − | 1.03744i | −0.990400 | − | 0.138229i | \(-0.955859\pi\) |
−0.437514 | − | 0.899212i | \(-0.644141\pi\) | |||||||
\(614\) | 16.2019 | + | 30.0285i | 0.653856 | + | 1.21185i | ||||
\(615\) | 1.53189 | − | 6.55627i | 0.0617718 | − | 0.264374i | ||||
\(616\) | 3.61096 | − | 2.17374i | 0.145490 | − | 0.0875825i | ||||
\(617\) | −31.8623 | + | 10.3527i | −1.28273 | + | 0.416784i | −0.869540 | − | 0.493862i | \(-0.835585\pi\) |
−0.413188 | + | 0.910646i | \(0.635585\pi\) | |||||||
\(618\) | −8.07880 | + | 10.7372i | −0.324977 | + | 0.431913i | ||||
\(619\) | −21.6969 | + | 7.04976i | −0.872074 | + | 0.283354i | −0.710662 | − | 0.703533i | \(-0.751605\pi\) |
−0.161411 | + | 0.986887i | \(0.551605\pi\) | |||||||
\(620\) | −18.3750 | + | 26.1006i | −0.737960 | + | 1.04823i | ||||
\(621\) | −6.26159 | − | 1.78626i | −0.251269 | − | 0.0716801i | ||||
\(622\) | −11.3794 | + | 23.6965i | −0.456272 | + | 0.950145i | ||||
\(623\) | 7.49341 | − | 5.44428i | 0.300217 | − | 0.218121i | ||||
\(624\) | 16.4762 | + | 28.4355i | 0.659577 | + | 1.13833i | ||||
\(625\) | 4.60898 | + | 24.5715i | 0.184359 | + | 0.982859i | ||||
\(626\) | 3.38291 | + | 0.454436i | 0.135208 | + | 0.0181629i | ||||
\(627\) | −1.21112 | − | 10.3211i | −0.0483673 | − | 0.412186i | ||||
\(628\) | −22.1530 | + | 33.7224i | −0.884000 | + | 1.34567i | ||||
\(629\) | −4.12530 | − | 1.34039i | −0.164486 | − | 0.0534449i | ||||
\(630\) | −6.99355 | + | 0.475594i | −0.278630 | + | 0.0189481i | ||||
\(631\) | 24.0978 | − | 7.82984i | 0.959317 | − | 0.311701i | 0.212821 | − | 0.977091i | \(-0.431735\pi\) |
0.746496 | + | 0.665390i | \(0.231735\pi\) | |||||||
\(632\) | 17.1238 | − | 40.4339i | 0.681149 | − | 1.60837i | ||||
\(633\) | 39.0659 | + | 7.81132i | 1.55273 | + | 0.310472i | ||||
\(634\) | 11.4340 | − | 11.9856i | 0.454103 | − | 0.476007i | ||||
\(635\) | −1.12897 | − | 3.89711i | −0.0448016 | − | 0.154652i | ||||
\(636\) | 6.37798 | − | 42.1269i | 0.252903 | − | 1.67044i | ||||
\(637\) | 24.7679 | + | 17.9950i | 0.981342 | + | 0.712986i | ||||
\(638\) | −15.0041 | + | 15.7279i | −0.594018 | + | 0.622672i | ||||
\(639\) | −38.7993 | − | 16.1622i | −1.53488 | − | 0.639368i | ||||
\(640\) | −25.2907 | − | 0.618286i | −0.999701 | − | 0.0244399i | ||||
\(641\) | −8.54730 | + | 11.7644i | −0.337598 | + | 0.464664i | −0.943738 | − | 0.330694i | \(-0.892717\pi\) |
0.606140 | + | 0.795358i | \(0.292717\pi\) | |||||||
\(642\) | 5.16429 | − | 15.0338i | 0.203818 | − | 0.593336i | ||||
\(643\) | − | 5.27318i | − | 0.207954i | −0.994580 | − | 0.103977i | \(-0.966843\pi\) | ||
0.994580 | − | 0.103977i | \(-0.0331568\pi\) | |||||||
\(644\) | 1.84978 | − | 0.0871741i | 0.0728914 | − | 0.00343514i | ||||
\(645\) | 3.67840 | + | 8.72983i | 0.144837 | + | 0.343737i | ||||
\(646\) | 6.42361 | − | 13.3766i | 0.252734 | − | 0.526295i | ||||
\(647\) | −0.604880 | + | 1.86163i | −0.0237803 | + | 0.0731882i | −0.962242 | − | 0.272194i | \(-0.912251\pi\) |
0.938462 | + | 0.345382i | \(0.112251\pi\) | |||||||
\(648\) | 6.23677 | − | 24.6800i | 0.245003 | − | 0.969522i | ||||
\(649\) | 9.90956 | 0.388984 | ||||||||
\(650\) | −22.7298 | − | 24.6658i | −0.891538 | − | 0.967472i | ||||
\(651\) | 7.96538 | + | 4.47130i | 0.312188 | + | 0.175244i | ||||
\(652\) | 1.00383 | + | 2.65681i | 0.0393129 | + | 0.104049i | ||||
\(653\) | 34.1296 | + | 11.0894i | 1.33559 | + | 0.433961i | 0.887822 | − | 0.460186i | \(-0.152217\pi\) |
0.447773 | + | 0.894147i | \(0.352217\pi\) | |||||||
\(654\) | −16.7255 | + | 11.7295i | −0.654020 | + | 0.458661i | ||||
\(655\) | 1.27680 | − | 39.6573i | 0.0498889 | − | 1.54954i | ||||
\(656\) | −6.78610 | − | 1.51733i | −0.264953 | − | 0.0592416i | ||||
\(657\) | 8.36613 | + | 13.7138i | 0.326394 | + | 0.535027i | ||||
\(658\) | 10.4397 | − | 1.90645i | 0.406980 | − | 0.0743211i | ||||
\(659\) | −9.38919 | − | 6.82165i | −0.365751 | − | 0.265734i | 0.389696 | − | 0.920944i | \(-0.372580\pi\) |
−0.755447 | + | 0.655210i | \(0.772580\pi\) | |||||||
\(660\) | −6.73677 | − | 14.0943i | −0.262229 | − | 0.548620i | ||||
\(661\) | 16.9242 | − | 12.2962i | 0.658276 | − | 0.478266i | −0.207804 | − | 0.978170i | \(-0.566632\pi\) |
0.866080 | + | 0.499905i | \(0.166632\pi\) | |||||||
\(662\) | 11.0047 | − | 11.5355i | 0.427709 | − | 0.448340i | ||||
\(663\) | −26.3280 | + | 12.1055i | −1.02250 | + | 0.470137i | ||||
\(664\) | −7.89159 | + | 1.82877i | −0.306253 | + | 0.0709702i | ||||
\(665\) | 0.158171 | − | 4.91276i | 0.00613361 | − | 0.190509i | ||||
\(666\) | 1.10847 | − | 5.09864i | 0.0429524 | − | 0.197568i | ||||
\(667\) | −9.08301 | + | 2.95125i | −0.351696 | + | 0.114273i | ||||
\(668\) | 22.8609 | + | 6.25481i | 0.884513 | + | 0.242006i | ||||
\(669\) | −32.0964 | − | 6.41777i | −1.24092 | − | 0.248125i | ||||
\(670\) | 26.2224 | − | 13.0769i | 1.01306 | − | 0.505205i | ||||
\(671\) | 3.92523 | − | 12.0806i | 0.151532 | − | 0.466367i | ||||
\(672\) | 0.560216 | + | 7.21789i | 0.0216108 | + | 0.278436i | ||||
\(673\) | 17.4290 | − | 12.6629i | 0.671839 | − | 0.488120i | −0.198801 | − | 0.980040i | \(-0.563705\pi\) |
0.870640 | + | 0.491920i | \(0.163705\pi\) | |||||||
\(674\) | −48.2211 | − | 6.47769i | −1.85741 | − | 0.249511i | ||||
\(675\) | −0.729996 | + | 25.9705i | −0.0280976 | + | 0.999605i | ||||
\(676\) | 18.3282 | + | 5.01467i | 0.704932 | + | 0.192872i | ||||
\(677\) | 10.8376 | + | 14.9166i | 0.416522 | + | 0.573293i | 0.964794 | − | 0.263007i | \(-0.0847141\pi\) |
−0.548272 | + | 0.836300i | \(0.684714\pi\) | |||||||
\(678\) | −5.42818 | − | 7.74024i | −0.208468 | − | 0.297262i | ||||
\(679\) | −6.05681 | − | 1.96798i | −0.232439 | − | 0.0755240i | ||||
\(680\) | 2.63995 | − | 22.1498i | 0.101237 | − | 0.849406i | ||||
\(681\) | 7.61374 | − | 38.0777i | 0.291759 | − | 1.45914i | ||||
\(682\) | −2.71026 | + | 20.1757i | −0.103781 | + | 0.772566i | ||||
\(683\) | −7.98951 | − | 24.5892i | −0.305710 | − | 0.940879i | −0.979411 | − | 0.201875i | \(-0.935296\pi\) |
0.673701 | − | 0.739004i | \(-0.264704\pi\) | |||||||
\(684\) | 16.7824 | + | 6.08060i | 0.641691 | + | 0.232498i | ||||
\(685\) | −8.67475 | + | 5.88561i | −0.331445 | + | 0.224877i | ||||
\(686\) | 6.67569 | + | 12.3727i | 0.254879 | + | 0.472392i | ||||
\(687\) | 14.8237 | + | 32.2399i | 0.565559 | + | 1.23003i | ||||
\(688\) | 8.97940 | − | 3.88505i | 0.342336 | − | 0.148116i | ||||
\(689\) | −34.2933 | − | 47.2007i | −1.30647 | − | 1.79820i | ||||
\(690\) | 0.335560 | − | 6.85540i | 0.0127746 | − | 0.260981i | ||||
\(691\) | 4.33841 | − | 5.97131i | 0.165041 | − | 0.227159i | −0.718484 | − | 0.695544i | \(-0.755164\pi\) |
0.883525 | + | 0.468384i | \(0.155164\pi\) | |||||||
\(692\) | −1.07198 | + | 0.0505192i | −0.0407507 | + | 0.00192045i | ||||
\(693\) | −3.81633 | + | 2.32816i | −0.144970 | + | 0.0884395i | ||||
\(694\) | −0.868116 | − | 4.75378i | −0.0329532 | − | 0.180451i | ||||
\(695\) | −13.1962 | − | 45.5524i | −0.500561 | − | 1.72790i | ||||
\(696\) | −12.6106 | − | 35.1427i | −0.478002 | − | 1.33208i | ||||
\(697\) | 1.89469 | − | 5.83126i | 0.0717666 | − | 0.220875i | ||||
\(698\) | −10.9547 | + | 5.91063i | −0.414643 | + | 0.223721i | ||||
\(699\) | 4.92734 | − | 8.77778i | 0.186369 | − | 0.332006i | ||||
\(700\) | −2.16154 | − | 7.06564i | −0.0816986 | − | 0.267056i | ||||
\(701\) | 28.4071i | 1.07292i | 0.843925 | + | 0.536462i | \(0.180239\pi\) | ||||
−0.843925 | + | 0.536462i | \(0.819761\pi\) | |||||||
\(702\) | −17.6533 | − | 30.0568i | −0.666282 | − | 1.13442i | ||||
\(703\) | 3.47968 | + | 1.13062i | 0.131239 | + | 0.0426420i | ||||
\(704\) | −14.4894 | + | 7.09655i | −0.546088 | + | 0.267461i | ||||
\(705\) | −3.32460 | − | 39.1927i | −0.125212 | − | 1.47608i | ||||
\(706\) | −9.01302 | + | 1.64592i | −0.339210 | + | 0.0619451i | ||||
\(707\) | 13.0313 | 0.490093 | ||||||||
\(708\) | −7.62392 | + | 15.2186i | −0.286525 | + | 0.571948i | ||||
\(709\) | −15.0277 | − | 10.9183i | −0.564378 | − | 0.410044i | 0.268681 | − | 0.963229i | \(-0.413412\pi\) |
−0.833058 | + | 0.553185i | \(0.813412\pi\) | |||||||
\(710\) | 7.30852 | − | 43.6976i | 0.274284 | − | 1.63994i | ||||
\(711\) | −17.9092 | + | 42.9931i | −0.671647 | + | 1.61237i | ||||
\(712\) | −30.3766 | + | 18.2862i | −1.13841 | + | 0.685304i | ||||
\(713\) | −5.25724 | + | 7.23597i | −0.196885 | + | 0.270989i | ||||
\(714\) | −6.38258 | − | 0.106755i | −0.238862 | − | 0.00399519i | ||||
\(715\) | −20.1210 | − | 7.26147i | −0.752481 | − | 0.271564i | ||||
\(716\) | −9.01150 | − | 11.2489i | −0.336776 | − | 0.420392i | ||||
\(717\) | −4.13638 | + | 20.6868i | −0.154476 | + | 0.772562i | ||||
\(718\) | 27.9242 | + | 3.75114i | 1.04212 | + | 0.139991i | ||||
\(719\) | 3.98890 | + | 12.2766i | 0.148761 | + | 0.457839i | 0.997475 | − | 0.0710123i | \(-0.0226230\pi\) |
−0.848715 | + | 0.528851i | \(0.822623\pi\) | |||||||
\(720\) | 26.8282 | + | 0.497494i | 0.999828 | + | 0.0185405i | ||||
\(721\) | −1.25253 | + | 3.85490i | −0.0466468 | + | 0.143564i | ||||
\(722\) | 6.21339 | − | 12.9388i | 0.231238 | − | 0.481533i | ||||
\(723\) | −19.6308 | + | 2.30355i | −0.730078 | + | 0.0856699i | ||||
\(724\) | −21.1115 | − | 5.77616i | −0.784601 | − | 0.214669i | ||||
\(725\) | 20.3691 | + | 32.2059i | 0.756489 | + | 1.19610i | ||||
\(726\) | 13.5697 | + | 10.2100i | 0.503618 | + | 0.378928i | ||||
\(727\) | 24.2110 | + | 33.3236i | 0.897936 | + | 1.23590i | 0.971122 | + | 0.238584i | \(0.0766832\pi\) |
−0.0731863 | + | 0.997318i | \(0.523317\pi\) | |||||||
\(728\) | 7.48712 | + | 6.49762i | 0.277491 | + | 0.240818i | ||||
\(729\) | −6.46051 | + | 26.2157i | −0.239278 | + | 0.970951i | ||||
\(730\) | −12.0766 | + | 11.8697i | −0.446975 | + | 0.439318i | ||||
\(731\) | 2.66584 | + | 8.20460i | 0.0985996 | + | 0.303458i | ||||
\(732\) | 15.5329 | + | 15.3224i | 0.574112 | + | 0.566332i | ||||
\(733\) | −9.15431 | − | 28.1741i | −0.338122 | − | 1.04063i | −0.965164 | − | 0.261647i | \(-0.915734\pi\) |
0.627041 | − | 0.778986i | \(-0.284266\pi\) | |||||||
\(734\) | −18.5676 | + | 19.4632i | −0.685343 | + | 0.718402i | ||||
\(735\) | 23.0350 | − | 9.70605i | 0.849660 | − | 0.358013i | ||||
\(736\) | −7.08322 | − | 0.278865i | −0.261091 | − | 0.0102791i | ||||
\(737\) | 10.9842 | − | 15.1185i | 0.404608 | − | 0.556896i | ||||
\(738\) | 7.20711 | + | 1.56687i | 0.265298 | + | 0.0576772i | ||||
\(739\) | 16.9992 | + | 23.3974i | 0.625326 | + | 0.860688i | 0.997727 | − | 0.0673842i | \(-0.0214653\pi\) |
−0.372401 | + | 0.928072i | \(0.621465\pi\) | |||||||
\(740\) | 5.49937 | − | 0.0819862i | 0.202161 | − | 0.00301387i | ||||
\(741\) | 22.2076 | − | 10.2109i | 0.815818 | − | 0.375108i | ||||
\(742\) | −2.30887 | − | 12.6433i | −0.0847612 | − | 0.464150i | ||||
\(743\) | 5.79856 | 0.212729 | 0.106364 | − | 0.994327i | \(-0.466079\pi\) | ||||
0.106364 | + | 0.994327i | \(0.466079\pi\) | |||||||
\(744\) | −28.8995 | − | 19.6844i | −1.05951 | − | 0.721666i | ||||
\(745\) | 3.18400 | − | 8.82261i | 0.116653 | − | 0.323235i | ||||
\(746\) | −0.344764 | + | 0.717941i | −0.0126227 | + | 0.0262857i | ||||
\(747\) | 8.35870 | − | 1.98907i | 0.305829 | − | 0.0727761i | ||||
\(748\) | −5.02810 | − | 13.3078i | −0.183845 | − | 0.486580i | ||||
\(749\) | − | 4.79504i | − | 0.175207i | ||||||
\(750\) | −26.8354 | + | 5.46441i | −0.979891 | + | 0.199532i | ||||
\(751\) | 16.7726i | 0.612040i | 0.952025 | + | 0.306020i | \(0.0989974\pi\) | ||||
−0.952025 | + | 0.306020i | \(0.901003\pi\) | |||||||
\(752\) | −40.4433 | + | 3.82042i | −1.47482 | + | 0.139316i | ||||
\(753\) | 31.3168 | − | 28.8909i | 1.14125 | − | 1.05284i | ||||
\(754\) | −46.0880 | − | 22.1320i | −1.67843 | − | 0.806001i | ||||
\(755\) | −1.45030 | + | 4.01867i | −0.0527819 | + | 0.146254i | ||||
\(756\) | −0.639363 | − | 7.65209i | −0.0232534 | − | 0.278304i | ||||
\(757\) | −2.93848 | −0.106801 | −0.0534005 | − | 0.998573i | \(-0.517006\pi\) | ||||
−0.0534005 | + | 0.998573i | \(0.517006\pi\) | |||||||
\(758\) | −21.0222 | + | 3.83899i | −0.763561 | + | 0.139438i | ||||
\(759\) | −1.82860 | − | 3.97701i | −0.0663741 | − | 0.144356i | ||||
\(760\) | −2.22679 | + | 18.6833i | −0.0807742 | + | 0.677715i | ||||
\(761\) | −25.3962 | − | 34.9549i | −0.920611 | − | 1.26711i | −0.963411 | − | 0.268029i | \(-0.913628\pi\) |
0.0427993 | − | 0.999084i | \(-0.486372\pi\) | |||||||
\(762\) | 4.24944 | − | 1.30257i | 0.153941 | − | 0.0471872i | ||||
\(763\) | −3.62209 | + | 4.98538i | −0.131128 | + | 0.180483i | ||||
\(764\) | −14.6403 | + | 5.53157i | −0.529667 | + | 0.200125i | ||||
\(765\) | −2.66141 | + | 23.5095i | −0.0962234 | + | 0.849989i | ||||
\(766\) | −8.35630 | − | 7.97177i | −0.301925 | − | 0.288032i | ||||
\(767\) | 7.20258 | + | 22.1672i | 0.260070 | + | 0.800413i | ||||
\(768\) | 0.248910 | − | 27.7117i | 0.00898178 | − | 0.999960i | ||||
\(769\) | 9.36897 | + | 28.8347i | 0.337854 | + | 1.03981i | 0.965299 | + | 0.261147i | \(0.0841006\pi\) |
−0.627445 | + | 0.778661i | \(0.715899\pi\) | |||||||
\(770\) | −3.30315 | − | 3.36072i | −0.119037 | − | 0.121112i | ||||
\(771\) | −2.80285 | − | 3.03820i | −0.100942 | − | 0.109418i | ||||
\(772\) | 2.01302 | − | 3.06431i | 0.0724500 | − | 0.110287i | ||||
\(773\) | 2.56875 | + | 3.53558i | 0.0923916 | + | 0.127166i | 0.852710 | − | 0.522384i | \(-0.174957\pi\) |
−0.760319 | + | 0.649550i | \(0.774957\pi\) | |||||||
\(774\) | −9.49961 | + | 4.17685i | −0.341456 | + | 0.150134i | ||||
\(775\) | 33.1612 | + | 13.1885i | 1.19119 | + | 0.473745i | ||||
\(776\) | 22.4482 | + | 9.50686i | 0.805844 | + | 0.341276i | ||||
\(777\) | −0.183432 | − | 1.56320i | −0.00658058 | − | 0.0560796i | ||||
\(778\) | 4.57750 | + | 2.19817i | 0.164111 | + | 0.0788084i | ||||
\(779\) | −1.59817 | + | 4.91866i | −0.0572604 | + | 0.176229i | ||||
\(780\) | 26.6318 | − | 25.3140i | 0.953573 | − | 0.906388i | ||||
\(781\) | −8.73131 | − | 26.8722i | −0.312431 | − | 0.961564i | ||||
\(782\) | 0.832164 | − | 6.19478i | 0.0297581 | − | 0.221525i | ||||
\(783\) | 13.5952 | + | 37.1949i | 0.485854 | + | 1.32924i | ||||
\(784\) | −10.2513 | − | 23.6936i | −0.366119 | − | 0.846199i | ||||
\(785\) | 42.4317 | + | 15.3132i | 1.51445 | + | 0.546552i | ||||
\(786\) | 43.4588 | + | 0.726890i | 1.55012 | + | 0.0259273i | ||||
\(787\) | 31.3923 | − | 43.2077i | 1.11901 | − | 1.54019i | 0.311590 | − | 0.950217i | \(-0.399139\pi\) |
0.807423 | − | 0.589972i | \(-0.200861\pi\) | |||||||
\(788\) | −16.4553 | + | 13.1824i | −0.586197 | + | 0.469602i | ||||
\(789\) | 26.5288 | − | 3.11297i | 0.944449 | − | 0.110825i | ||||
\(790\) | −48.4208 | − | 8.09849i | −1.72273 | − | 0.288131i | ||||
\(791\) | −2.30713 | − | 1.67623i | −0.0820321 | − | 0.0595998i | ||||
\(792\) | 15.3236 | − | 7.61758i | 0.544501 | − | 0.270679i | ||||
\(793\) | 29.8768 | 1.06096 | ||||||||
\(794\) | 5.90375 | + | 32.3288i | 0.209516 | + | 1.14730i | ||||
\(795\) | −47.4656 | + | 4.02636i | −1.68343 | + | 0.142800i | ||||
\(796\) | 33.2119 | + | 21.8177i | 1.17717 | + | 0.773307i | ||||
\(797\) | −32.3917 | − | 10.5247i | −1.14737 | − | 0.372804i | −0.327219 | − | 0.944949i | \(-0.606111\pi\) |
−0.820153 | + | 0.572145i | \(0.806111\pi\) | |||||||
\(798\) | 5.38370 | + | 0.0900474i | 0.190581 | + | 0.00318764i | ||||
\(799\) | − | 35.8194i | − | 1.26720i | ||||||
\(800\) | 5.90831 | + | 27.6603i | 0.208890 | + | 0.977939i | ||||
\(801\) | 32.1042 | − | 19.5852i | 1.13435 | − | 0.692010i | ||||
\(802\) | 13.4254 | + | 24.8825i | 0.474066 | + | 0.878633i | ||||
\(803\) | −3.33712 | + | 10.2706i | −0.117764 | + | 0.362441i | ||||
\(804\) | 14.7674 | + | 28.5003i | 0.520806 | + | 1.00513i | ||||
\(805\) | −0.576096 | − | 1.98864i | −0.0203047 | − | 0.0700904i | ||||
\(806\) | −47.1020 | + | 8.60157i | −1.65910 | + | 0.302977i | ||||
\(807\) | −19.3782 | + | 34.5212i | −0.682144 | + | 1.21520i | ||||
\(808\) | −49.6970 | − | 4.30662i | −1.74833 | − | 0.151506i | ||||
\(809\) | 20.9478 | − | 28.8322i | 0.736486 | − | 1.01369i | −0.262327 | − | 0.964979i | \(-0.584490\pi\) |
0.998813 | − | 0.0487074i | \(-0.0155102\pi\) | |||||||
\(810\) | −28.4582 | − | 0.359754i | −0.999920 | − | 0.0126405i | ||||
\(811\) | −19.5132 | − | 26.8576i | −0.685202 | − | 0.943099i | 0.314780 | − | 0.949165i | \(-0.398069\pi\) |
−0.999982 | + | 0.00606532i | \(0.998069\pi\) | |||||||
\(812\) | −7.04160 | − | 8.78993i | −0.247112 | − | 0.308466i | ||||
\(813\) | 26.7179 | − | 12.2847i | 0.937038 | − | 0.430844i | ||||
\(814\) | 3.08694 | − | 1.66556i | 0.108197 | − | 0.0583778i | ||||
\(815\) | 2.62765 | − | 1.78280i | 0.0920425 | − | 0.0624486i | ||||
\(816\) | 24.3057 | + | 2.51645i | 0.850870 | + | 0.0880935i | ||||
\(817\) | −2.24863 | − | 6.92057i | −0.0786696 | − | 0.242120i | ||||
\(818\) | −1.67764 | − | 0.225362i | −0.0586573 | − | 0.00787961i | ||||
\(819\) | −7.98182 | − | 6.84479i | −0.278907 | − | 0.239176i | ||||
\(820\) | 0.115891 | + | 7.77357i | 0.00404708 | + | 0.271465i | ||||
\(821\) | 13.3123 | + | 4.32543i | 0.464603 | + | 0.150959i | 0.531959 | − | 0.846770i | \(-0.321456\pi\) |
−0.0673557 | + | 0.997729i | \(0.521456\pi\) | |||||||
\(822\) | −6.59350 | − | 9.40190i | −0.229975 | − | 0.327929i | ||||
\(823\) | 6.65631 | + | 9.16163i | 0.232025 | + | 0.319354i | 0.909115 | − | 0.416546i | \(-0.136759\pi\) |
−0.677090 | + | 0.735900i | \(0.736759\pi\) | |||||||
\(824\) | 6.05071 | − | 14.2873i | 0.210787 | − | 0.497723i | ||||
\(825\) | −13.5723 | + | 10.9924i | −0.472528 | + | 0.382708i | ||||
\(826\) | −0.683594 | + | 5.08880i | −0.0237853 | + | 0.177062i | ||||
\(827\) | 6.50741 | − | 4.72791i | 0.226285 | − | 0.164405i | −0.468866 | − | 0.883269i | \(-0.655337\pi\) |
0.695151 | + | 0.718864i | \(0.255337\pi\) | |||||||
\(828\) | 7.51450 | + | 0.251445i | 0.261147 | + | 0.00873831i | ||||
\(829\) | −2.10626 | + | 6.48242i | −0.0731536 | + | 0.225144i | −0.980948 | − | 0.194273i | \(-0.937765\pi\) |
0.907794 | + | 0.419416i | \(0.137765\pi\) | |||||||
\(830\) | 4.04187 | + | 8.10495i | 0.140295 | + | 0.281327i | ||||
\(831\) | 5.28798 | − | 26.4462i | 0.183438 | − | 0.917407i | ||||
\(832\) | −26.4060 | − | 27.2541i | −0.915463 | − | 0.944865i | ||||
\(833\) | 21.6492 | − | 7.03424i | 0.750099 | − | 0.243722i | ||||
\(834\) | 49.6707 | − | 15.2255i | 1.71996 | − | 0.527215i | ||||
\(835\) | 0.852707 | − | 26.4849i | 0.0295091 | − | 0.916548i | ||||
\(836\) | 4.24119 | + | 11.2251i | 0.146685 | + | 0.388227i | ||||
\(837\) | 30.7753 | + | 20.6972i | 1.06375 | + | 0.715402i | ||||
\(838\) | −23.2137 | − | 22.1454i | −0.801902 | − | 0.765001i | ||||
\(839\) | −15.0054 | + | 10.9021i | −0.518044 | + | 0.376381i | −0.815866 | − | 0.578240i | \(-0.803740\pi\) |
0.297823 | + | 0.954621i | \(0.403740\pi\) | |||||||
\(840\) | 7.70249 | − | 2.48723i | 0.265761 | − | 0.0858174i | ||||
\(841\) | 23.5302 | + | 17.0957i | 0.811385 | + | 0.589506i | ||||
\(842\) | −4.20807 | − | 23.0433i | −0.145020 | − | 0.794125i | ||||
\(843\) | −5.01515 | + | 8.93422i | −0.172731 | + | 0.307711i | ||||
\(844\) | −45.9513 | + | 2.16554i | −1.58171 | + | 0.0745410i | ||||
\(845\) | 0.683641 | − | 21.2337i | 0.0235180 | − | 0.730463i | ||||
\(846\) | 42.8720 | − | 4.30522i | 1.47397 | − | 0.148017i | ||||
\(847\) | 4.87183 | + | 1.58295i | 0.167398 | + | 0.0543909i | ||||
\(848\) | 4.62685 | + | 48.9802i | 0.158887 | + | 1.68199i | ||||
\(849\) | −26.0925 | + | 46.4824i | −0.895493 | + | 1.59527i | ||||
\(850\) | −24.7712 | + | 2.89284i | −0.849644 | + | 0.0992236i | ||||
\(851\) | 1.54113 | 0.0528291 | ||||||||
\(852\) | 47.9863 | + | 7.26509i | 1.64398 | + | 0.248898i | ||||
\(853\) | −16.4758 | + | 50.7073i | −0.564121 | + | 1.73619i | 0.106427 | + | 0.994320i | \(0.466059\pi\) |
−0.670548 | + | 0.741866i | \(0.733941\pi\) | |||||||
\(854\) | 5.93292 | + | 2.84906i | 0.203020 | + | 0.0974929i | ||||
\(855\) | 2.24489 | − | 19.8303i | 0.0767738 | − | 0.678180i | ||||
\(856\) | −1.58468 | + | 18.2867i | −0.0541631 | + | 0.625025i | ||||
\(857\) | − | 30.1725i | − | 1.03067i | −0.856987 | − | 0.515337i | \(-0.827667\pi\) | ||
0.856987 | − | 0.515337i | \(-0.172333\pi\) | |||||||
\(858\) | 7.61284 | − | 22.1617i | 0.259898 | − | 0.756590i | ||||
\(859\) | −5.25931 | + | 7.23882i | −0.179445 | + | 0.246985i | −0.889259 | − | 0.457404i | \(-0.848779\pi\) |
0.709813 | + | 0.704390i | \(0.248779\pi\) | |||||||
\(860\) | −6.56078 | − | 8.75272i | −0.223721 | − | 0.298465i | ||||
\(861\) | 2.20965 | − | 0.259288i | 0.0753046 | − | 0.00883650i | ||||
\(862\) | −36.4298 | − | 34.7534i | −1.24080 | − | 1.18370i | ||||
\(863\) | 44.8698 | + | 32.5998i | 1.52738 | + | 1.10971i | 0.957670 | + | 0.287867i | \(0.0929462\pi\) |
0.569714 | + | 0.821843i | \(0.307054\pi\) | |||||||
\(864\) | −0.0905659 | + | 29.3937i | −0.00308112 | + | 0.999995i | ||||
\(865\) | 0.333860 | + | 1.15246i | 0.0113516 | + | 0.0391848i | ||||
\(866\) | 22.1702 | + | 21.1499i | 0.753373 | + | 0.718705i | ||||
\(867\) | 1.54875 | − | 7.74557i | 0.0525982 | − | 0.263053i | ||||
\(868\) | −10.1737 | − | 2.78357i | −0.345319 | − | 0.0944804i | ||||
\(869\) | −29.7768 | + | 9.67508i | −1.01011 | + | 0.328204i | ||||
\(870\) | −34.9307 | + | 22.8560i | −1.18426 | + | 0.774890i | ||||
\(871\) | 41.8030 | + | 13.5826i | 1.41644 | + | 0.460229i | ||||
\(872\) | 15.4610 | − | 17.8155i | 0.523575 | − | 0.603308i | ||||
\(873\) | −23.8690 | − | 9.94288i | −0.807844 | − | 0.336515i | ||||
\(874\) | −0.701929 | + | 5.22529i | −0.0237431 | + | 0.176748i | ||||
\(875\) | −7.12029 | + | 4.18879i | −0.240710 | + | 0.141607i | ||||
\(876\) | −13.2056 | − | 13.0266i | −0.446176 | − | 0.440129i | ||||
\(877\) | −23.9884 | + | 17.4286i | −0.810029 | + | 0.588521i | −0.913839 | − | 0.406077i | \(-0.866897\pi\) |
0.103810 | + | 0.994597i | \(0.466897\pi\) | |||||||
\(878\) | 17.3458 | + | 8.32967i | 0.585392 | + | 0.281113i | ||||
\(879\) | 14.1080 | + | 15.2926i | 0.475850 | + | 0.515806i | ||||
\(880\) | 11.4864 | + | 13.9083i | 0.387207 | + | 0.468848i | ||||
\(881\) | −9.84672 | + | 3.19939i | −0.331745 | + | 0.107790i | −0.470153 | − | 0.882585i | \(-0.655801\pi\) |
0.138409 | + | 0.990375i | \(0.455801\pi\) | |||||||
\(882\) | 11.0213 | + | 25.0662i | 0.371106 | + | 0.844024i | ||||
\(883\) | −16.8715 | + | 5.48190i | −0.567773 | + | 0.184481i | −0.578816 | − | 0.815458i | \(-0.696485\pi\) |
0.0110429 | + | 0.999939i | \(0.496485\pi\) | |||||||
\(884\) | 26.1143 | − | 20.9201i | 0.878319 | − | 0.703620i | ||||
\(885\) | 18.5314 | + | 4.32991i | 0.622926 | + | 0.145548i | ||||
\(886\) | 27.5329 | − | 14.8554i | 0.924986 | − | 0.499076i | ||||
\(887\) | 11.1016 | + | 8.06579i | 0.372755 | + | 0.270823i | 0.758353 | − | 0.651845i | \(-0.226005\pi\) |
−0.385597 | + | 0.922667i | \(0.626005\pi\) | |||||||
\(888\) | 0.182935 | + | 6.02215i | 0.00613889 | + | 0.202090i | ||||
\(889\) | 1.08466 | − | 0.788050i | 0.0363782 | − | 0.0264303i | ||||
\(890\) | 27.7871 | + | 28.2714i | 0.931427 | + | 0.947661i | ||||
\(891\) | −16.2052 | + | 8.17543i | −0.542894 | + | 0.273887i | ||||
\(892\) | 37.7535 | − | 1.77920i | 1.26408 | − | 0.0595722i | ||||
\(893\) | 30.2137i | 1.01106i | ||||||||
\(894\) | 9.71745 | + | 3.33807i | 0.325000 | + | 0.111642i | ||||
\(895\) | −9.88657 | + | 12.7255i | −0.330471 | + | 0.425366i | ||||
\(896\) | −2.64473 | − | 7.93018i | −0.0883541 | − | 0.264929i | ||||
\(897\) | 7.56730 | − | 6.98112i | 0.252665 | − | 0.233093i | ||||
\(898\) | 0.848961 | + | 1.57346i | 0.0283302 | + | 0.0525071i | ||||
\(899\) | 54.3975 | 1.81426 | ||||||||
\(900\) | −6.43972 | − | 29.3007i | −0.214657 | − | 0.976689i | ||||
\(901\) | −43.3803 | −1.44521 | ||||||||
\(902\) | 2.35433 | + | 4.36350i | 0.0783906 | + | 0.145289i | ||||
\(903\) | −2.30078 | + | 2.12256i | −0.0765653 | + | 0.0706343i | ||||
\(904\) | 8.24464 | + | 7.15503i | 0.274213 | + | 0.237973i | ||||
\(905\) | −0.787454 | + | 24.4582i | −0.0261759 | + | 0.813017i | ||||
\(906\) | −4.42627 | − | 1.52048i | −0.147053 | − | 0.0505145i | ||||
\(907\) | 23.3088i | 0.773956i | 0.922089 | + | 0.386978i | \(0.126481\pi\) | ||||
−0.922089 | + | 0.386978i | \(0.873519\pi\) | |||||||
\(908\) | 2.11077 | + | 44.7890i | 0.0700482 | + | 1.48637i | ||||
\(909\) | 52.7377 | + | 4.25674i | 1.74920 | + | 0.141187i | ||||
\(910\) | 5.11695 | − | 9.83168i | 0.169625 | − | 0.325917i | ||||
\(911\) | −0.799588 | + | 0.580935i | −0.0264915 | + | 0.0192472i | −0.600952 | − | 0.799285i | \(-0.705212\pi\) |
0.574461 | + | 0.818532i | \(0.305212\pi\) | |||||||
\(912\) | −20.5018 | − | 2.12263i | −0.678883 | − | 0.0702872i | ||||
\(913\) | 4.67289 | + | 3.39505i | 0.154650 | + | 0.112360i | ||||
\(914\) | −30.2755 | + | 16.3352i | −1.00143 | + | 0.540319i | ||||
\(915\) | 12.6189 | − | 20.8763i | 0.417169 | − | 0.690149i | ||||
\(916\) | −25.6177 | − | 31.9782i | −0.846432 | − | 1.05659i | ||||
\(917\) | 12.4695 | − | 4.05158i | 0.411778 | − | 0.133795i | ||||
\(918\) | −25.7954 | − | 2.51694i | −0.851375 | − | 0.0830712i | ||||
\(919\) | −16.5427 | + | 5.37504i | −0.545692 | + | 0.177306i | −0.568873 | − | 0.822425i | \(-0.692621\pi\) |
0.0231812 | + | 0.999731i | \(0.492621\pi\) | |||||||
\(920\) | 1.53982 | + | 7.77439i | 0.0507665 | + | 0.256314i | ||||
\(921\) | 28.3357 | + | 30.7150i | 0.933693 | + | 1.01209i | ||||
\(922\) | 18.5646 | + | 8.91496i | 0.611392 | + | 0.293598i | ||||
\(923\) | 53.7658 | − | 39.0631i | 1.76972 | − | 1.28578i | ||||
\(924\) | 3.62510 | − | 3.67490i | 0.119257 | − | 0.120895i | ||||
\(925\) | −1.52007 | − | 5.95832i | −0.0499797 | − | 0.195908i | ||||
\(926\) | −0.166322 | + | 1.23814i | −0.00546570 | + | 0.0406877i | ||||
\(927\) | −6.32822 | + | 15.1916i | −0.207846 | + | 0.498958i | ||||
\(928\) | 23.9494 | + | 35.8489i | 0.786176 | + | 1.17680i | ||||
\(929\) | 7.16511 | + | 2.32809i | 0.235080 | + | 0.0763820i | 0.424188 | − | 0.905574i | \(-0.360560\pi\) |
−0.189108 | + | 0.981956i | \(0.560560\pi\) | |||||||
\(930\) | −13.8839 | + | 36.5453i | −0.455272 | + | 1.19837i | ||||
\(931\) | −18.2610 | + | 5.93337i | −0.598481 | + | 0.194458i | ||||
\(932\) | −3.06747 | + | 11.2114i | −0.100478 | + | 0.367241i | ||||
\(933\) | −6.31254 | + | 31.5702i | −0.206663 | + | 1.03356i | ||||
\(934\) | 2.31153 | + | 2.20516i | 0.0756357 | + | 0.0721551i | ||||
\(935\) | −13.1617 | + | 8.92988i | −0.430433 | + | 0.292038i | ||||
\(936\) | 28.1779 | + | 28.7415i | 0.921022 | + | 0.939446i | ||||
\(937\) | 23.9839 | + | 17.4253i | 0.783520 | + | 0.569261i | 0.906034 | − | 0.423206i | \(-0.139095\pi\) |
−0.122513 | + | 0.992467i | \(0.539095\pi\) | |||||||
\(938\) | 7.00597 | + | 6.68358i | 0.228753 | + | 0.218227i | ||||
\(939\) | 4.15192 | − | 0.487201i | 0.135493 | − | 0.0158992i | ||||
\(940\) | 14.6774 | + | 42.9814i | 0.478723 | + | 1.40190i | ||||
\(941\) | 17.3787 | − | 23.9197i | 0.566528 | − | 0.779759i | −0.425610 | − | 0.904907i | \(-0.639940\pi\) |
0.992138 | + | 0.125148i | \(0.0399405\pi\) | |||||||
\(942\) | −16.0542 | + | 46.7353i | −0.523073 | + | 1.52272i | ||||
\(943\) | 2.17844i | 0.0709398i | ||||||||
\(944\) | 4.28875 | − | 19.1810i | 0.139587 | − | 0.624289i | ||||
\(945\) | −8.15402 | + | 2.68626i | −0.265250 | + | 0.0873841i | ||||
\(946\) | −6.28859 | − | 3.01986i | −0.204460 | − | 0.0981842i | ||||
\(947\) | −0.728909 | + | 2.24335i | −0.0236864 | + | 0.0728991i | −0.962201 | − | 0.272340i | \(-0.912202\pi\) |
0.938515 | + | 0.345240i | \(0.112202\pi\) | |||||||
\(948\) | 8.05037 | − | 53.1731i | 0.261464 | − | 1.72698i | ||||
\(949\) | −25.4004 | −0.824531 | ||||||||
\(950\) | 20.8944 | − | 2.44011i | 0.677905 | − | 0.0791675i | ||||
\(951\) | 9.93064 | − | 17.6909i | 0.322023 | − | 0.573667i | ||||
\(952\) | 7.18071 | − | 1.66404i | 0.232728 | − | 0.0539318i | ||||
\(953\) | −16.4109 | − | 5.33221i | −0.531600 | − | 0.172727i | 0.0309032 | − | 0.999522i | \(-0.490162\pi\) |
−0.562503 | + | 0.826795i | \(0.690162\pi\) | |||||||
\(954\) | −5.21398 | − | 51.9215i | −0.168809 | − | 1.68102i | ||||
\(955\) | 9.82405 | + | 14.4796i | 0.317899 | + | 0.468548i | ||||
\(956\) | −1.14673 | − | 24.3329i | −0.0370880 | − | 0.786981i | ||||
\(957\) | −13.0313 | + | 23.2146i | −0.421243 | + | 0.750421i | ||||
\(958\) | −5.68685 | − | 31.1410i | −0.183734 | − | 1.00612i | ||||
\(959\) | −2.80242 | − | 2.03608i | −0.0904949 | − | 0.0657484i | ||||
\(960\) | −30.1967 | + | 6.93989i | −0.974593 | + | 0.223984i | ||||
\(961\) | 16.1352 | − | 11.7229i | 0.520489 | − | 0.378158i | ||||
\(962\) | 5.96946 | + | 5.69477i | 0.192463 | + | 0.183607i | ||||
\(963\) | 1.56632 | − | 19.4055i | 0.0504741 | − | 0.625334i | ||||
\(964\) | 21.3501 | − | 8.06676i | 0.687641 | − | 0.259813i | ||||
\(965\) | −3.85572 | − | 1.39149i | −0.124120 | − | 0.0447938i | ||||
\(966\) | 2.16843 | − | 0.664685i | 0.0697681 | − | 0.0213859i | ||||
\(967\) | −25.1367 | + | 8.16741i | −0.808341 | + | 0.262646i | −0.683895 | − | 0.729580i | \(-0.739715\pi\) |
−0.124446 | + | 0.992226i | \(0.539715\pi\) | |||||||
\(968\) | −18.0564 | − | 7.64689i | −0.580353 | − | 0.245781i | ||||
\(969\) | 3.56340 | − | 17.8212i | 0.114473 | − | 0.572500i | ||||
\(970\) | 4.49614 | − | 26.8824i | 0.144362 | − | 0.863142i | ||||
\(971\) | −10.7114 | + | 32.9664i | −0.343746 | + | 1.05794i | 0.618506 | + | 0.785780i | \(0.287738\pi\) |
−0.962252 | + | 0.272161i | \(0.912262\pi\) | |||||||
\(972\) | −0.0879080 | − | 31.1768i | −0.00281965 | − | 0.999996i | ||||
\(973\) | 12.6783 | − | 9.21134i | 0.406448 | − | 0.295302i | ||||
\(974\) | −0.303321 | + | 2.25798i | −0.00971903 | + | 0.0723503i | ||||
\(975\) | −34.4544 | − | 22.3711i | −1.10342 | − | 0.716447i | ||||
\(976\) | −21.6846 | − | 12.8261i | −0.694106 | − | 0.410553i | ||||
\(977\) | 5.28930 | + | 7.28009i | 0.169220 | + | 0.232911i | 0.885201 | − | 0.465208i | \(-0.154021\pi\) |
−0.715982 | + | 0.698119i | \(0.754021\pi\) | |||||||
\(978\) | 1.99722 | + | 2.84791i | 0.0638641 | + | 0.0910660i | ||||
\(979\) | 24.0436 | + | 7.81223i | 0.768436 | + | 0.249680i | ||||
\(980\) | −23.0955 | + | 17.3117i | −0.737757 | + | 0.553001i | ||||
\(981\) | −16.2871 | + | 18.9926i | −0.520006 | + | 0.606387i | ||||
\(982\) | 23.9842 | + | 3.22187i | 0.765367 | + | 0.102814i | ||||
\(983\) | −2.21968 | − | 6.83147i | −0.0707968 | − | 0.217890i | 0.909398 | − | 0.415928i | \(-0.136543\pi\) |
−0.980194 | + | 0.198038i | \(0.936543\pi\) | |||||||
\(984\) | −8.51253 | + | 0.258585i | −0.271370 | + | 0.00824339i | ||||
\(985\) | 18.6153 | + | 14.4624i | 0.593132 | + | 0.460812i | ||||
\(986\) | −33.4555 | + | 18.0509i | −1.06544 | + | 0.574858i | ||||
\(987\) | 11.8089 | − | 5.42966i | 0.375882 | − | 0.172828i | ||||
\(988\) | −22.0274 | + | 17.6461i | −0.700784 | + | 0.561397i | ||||
\(989\) | −1.80160 | − | 2.47970i | −0.0572877 | − | 0.0788497i | ||||
\(990\) | −12.2700 | − | 14.6798i | −0.389967 | − | 0.466555i | ||||
\(991\) | 24.4206 | − | 33.6121i | 0.775745 | − | 1.06772i | −0.219993 | − | 0.975501i | \(-0.570603\pi\) |
0.995739 | − | 0.0922206i | \(-0.0293965\pi\) | |||||||
\(992\) | 37.8792 | + | 13.9778i | 1.20267 | + | 0.443796i | ||||
\(993\) | 9.55775 | − | 17.0266i | 0.303306 | − | 0.540323i | ||||
\(994\) | 14.4018 | − | 2.63001i | 0.456799 | − | 0.0834188i | ||||
\(995\) | 15.0814 | − | 41.7894i | 0.478113 | − | 1.32481i | ||||
\(996\) | −8.80902 | + | 4.56438i | −0.279124 | + | 0.144628i | ||||
\(997\) | 8.76401 | − | 26.9728i | 0.277559 | − | 0.854239i | −0.710972 | − | 0.703220i | \(-0.751745\pi\) |
0.988531 | − | 0.151018i | \(-0.0482552\pi\) | |||||||
\(998\) | −7.22917 | − | 13.3985i | −0.228835 | − | 0.424122i | ||||
\(999\) | −0.231719 | − | 6.38620i | −0.00733126 | − | 0.202050i |
(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 | 300.2.n.a.11.10 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.47 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.44 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.13 | yes | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.13 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.44 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.47 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.10 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.10 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.11.13 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.11.44 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.11.47 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.191.10 | yes | 224 | 300.191 | even | 10 | inner | |
300.2.n.a.191.13 | yes | 224 | 25.16 | even | 5 | inner | |
300.2.n.a.191.44 | yes | 224 | 75.41 | odd | 10 | inner | |
300.2.n.a.191.47 | yes | 224 | 100.91 | odd | 10 | inner |