Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(11,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\), degree \(8\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 11.46 | ||
Character | \(\chi\) | \(=\) | 288.11 |
Dual form | 288.2.bf.a.131.46 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.41399 | + | 0.0248984i | 0.999845 | + | 0.0176059i | ||||
\(3\) | 0.861701 | + | 1.50249i | 0.497503 | + | 0.867462i | ||||
\(4\) | 1.99876 | + | 0.0704125i | 0.999380 | + | 0.0352063i | ||||
\(5\) | −0.471641 | − | 3.58247i | −0.210924 | − | 1.60213i | −0.689635 | − | 0.724157i | \(-0.742229\pi\) |
0.478711 | − | 0.877973i | \(-0.341104\pi\) | |||||||
\(6\) | 1.18103 | + | 2.14596i | 0.482154 | + | 0.876087i | ||||
\(7\) | 0.0874372 | + | 0.326320i | 0.0330481 | + | 0.123337i | 0.980479 | − | 0.196622i | \(-0.0629973\pi\) |
−0.947431 | + | 0.319960i | \(0.896331\pi\) | |||||||
\(8\) | 2.82448 | + | 0.149329i | 0.998605 | + | 0.0527958i | ||||
\(9\) | −1.51494 | + | 2.58939i | −0.504981 | + | 0.863131i | ||||
\(10\) | −0.577700 | − | 5.07734i | −0.182685 | − | 1.60560i | ||||
\(11\) | 1.73561 | − | 1.33178i | 0.523306 | − | 0.401547i | −0.313047 | − | 0.949737i | \(-0.601350\pi\) |
0.836353 | + | 0.548191i | \(0.184683\pi\) | |||||||
\(12\) | 1.61654 | + | 3.06379i | 0.466655 | + | 0.884439i | ||||
\(13\) | −1.91333 | + | 2.49350i | −0.530663 | + | 0.691573i | −0.979363 | − | 0.202109i | \(-0.935220\pi\) |
0.448700 | + | 0.893682i | \(0.351887\pi\) | |||||||
\(14\) | 0.115511 | + | 0.463592i | 0.0308716 | + | 0.123900i | ||||
\(15\) | 4.97621 | − | 3.79566i | 1.28485 | − | 0.980034i | ||||
\(16\) | 3.99008 | + | 0.281476i | 0.997521 | + | 0.0703689i | ||||
\(17\) | −5.19359 | −1.25963 | −0.629815 | − | 0.776745i | \(-0.716869\pi\) | ||||
−0.629815 | + | 0.776745i | \(0.716869\pi\) | |||||||
\(18\) | −2.20659 | + | 3.62367i | −0.520099 | + | 0.854106i | ||||
\(19\) | −6.00299 | + | 2.48652i | −1.37718 | + | 0.570447i | −0.943726 | − | 0.330728i | \(-0.892706\pi\) |
−0.433455 | + | 0.901175i | \(0.642706\pi\) | |||||||
\(20\) | −0.690447 | − | 7.19371i | −0.154389 | − | 1.60856i | ||||
\(21\) | −0.414947 | + | 0.412564i | −0.0905489 | + | 0.0900288i | ||||
\(22\) | 2.48730 | − | 1.83992i | 0.530294 | − | 0.392271i | ||||
\(23\) | 5.05154 | + | 1.35356i | 1.05332 | + | 0.282236i | 0.743623 | − | 0.668599i | \(-0.233106\pi\) |
0.309697 | + | 0.950835i | \(0.399772\pi\) | |||||||
\(24\) | 2.20949 | + | 4.37243i | 0.451011 | + | 0.892518i | ||||
\(25\) | −7.78203 | + | 2.08519i | −1.55641 | + | 0.417038i | ||||
\(26\) | −2.76752 | + | 3.47816i | −0.542756 | + | 0.682123i | ||||
\(27\) | −5.19596 | − | 0.0449004i | −0.999963 | − | 0.00864109i | ||||
\(28\) | 0.151789 | + | 0.658392i | 0.0286854 | + | 0.124424i | ||||
\(29\) | −1.11743 | − | 0.147113i | −0.207502 | − | 0.0273181i | 0.0260587 | − | 0.999660i | \(-0.491704\pi\) |
−0.233560 | + | 0.972342i | \(0.575038\pi\) | |||||||
\(30\) | 7.13084 | − | 5.24314i | 1.30191 | − | 0.957261i | ||||
\(31\) | 2.41169 | − | 1.39239i | 0.433153 | − | 0.250081i | −0.267536 | − | 0.963548i | \(-0.586209\pi\) |
0.700689 | + | 0.713467i | \(0.252876\pi\) | |||||||
\(32\) | 5.63495 | + | 0.497352i | 0.996128 | + | 0.0879202i | ||||
\(33\) | 3.49656 | + | 1.46014i | 0.608673 | + | 0.254177i | ||||
\(34\) | −7.34370 | − | 0.129312i | −1.25943 | − | 0.0221769i | ||||
\(35\) | 1.12779 | − | 0.467147i | 0.190632 | − | 0.0789623i | ||||
\(36\) | −3.21033 | + | 5.06890i | −0.535055 | + | 0.844817i | ||||
\(37\) | 0.498481 | − | 1.20344i | 0.0819498 | − | 0.197844i | −0.877593 | − | 0.479406i | \(-0.840852\pi\) |
0.959543 | + | 0.281561i | \(0.0908523\pi\) | |||||||
\(38\) | −8.55011 | + | 3.36646i | −1.38701 | + | 0.546112i | ||||
\(39\) | −5.39518 | − | 0.726104i | −0.863920 | − | 0.116270i | ||||
\(40\) | −0.797176 | − | 10.1891i | −0.126045 | − | 1.61103i | ||||
\(41\) | −2.31263 | + | 8.63084i | −0.361171 | + | 1.34791i | 0.511366 | + | 0.859363i | \(0.329140\pi\) |
−0.872537 | + | 0.488547i | \(0.837527\pi\) | |||||||
\(42\) | −0.597005 | + | 0.573031i | −0.0921199 | + | 0.0884206i | ||||
\(43\) | −4.34633 | − | 5.66425i | −0.662809 | − | 0.863790i | 0.334085 | − | 0.942543i | \(-0.391573\pi\) |
−0.996894 | + | 0.0787529i | \(0.974906\pi\) | |||||||
\(44\) | 3.56284 | − | 2.53970i | 0.537118 | − | 0.382874i | ||||
\(45\) | 9.99093 | + | 4.20597i | 1.48936 | + | 0.626989i | ||||
\(46\) | 7.10915 | + | 2.03970i | 1.04819 | + | 0.300737i | ||||
\(47\) | −4.11008 | − | 2.37296i | −0.599517 | − | 0.346131i | 0.169334 | − | 0.985559i | \(-0.445838\pi\) |
−0.768852 | + | 0.639427i | \(0.779172\pi\) | |||||||
\(48\) | 3.01535 | + | 6.23760i | 0.435228 | + | 0.900320i | ||||
\(49\) | 5.96334 | − | 3.44293i | 0.851905 | − | 0.491848i | ||||
\(50\) | −11.0557 | + | 2.75468i | −1.56351 | + | 0.389571i | ||||
\(51\) | −4.47532 | − | 7.80330i | −0.626670 | − | 1.09268i | ||||
\(52\) | −3.99987 | + | 4.84919i | −0.554682 | + | 0.672462i | ||||
\(53\) | 4.79184 | − | 11.5685i | 0.658210 | − | 1.58906i | −0.142356 | − | 0.989815i | \(-0.545468\pi\) |
0.800566 | − | 0.599244i | \(-0.204532\pi\) | |||||||
\(54\) | −7.34594 | − | 0.192860i | −0.999656 | − | 0.0262450i | ||||
\(55\) | −5.58965 | − | 5.58965i | −0.753708 | − | 0.753708i | ||||
\(56\) | 0.198236 | + | 0.934742i | 0.0264904 | + | 0.124910i | ||||
\(57\) | −8.90875 | − | 6.87679i | −1.17999 | − | 0.910853i | ||||
\(58\) | −1.57638 | − | 0.235839i | −0.206989 | − | 0.0309671i | ||||
\(59\) | 12.2160 | − | 1.60826i | 1.59038 | − | 0.209378i | 0.717235 | − | 0.696831i | \(-0.245407\pi\) |
0.873149 | + | 0.487453i | \(0.162074\pi\) | |||||||
\(60\) | 10.2135 | − | 7.23622i | 1.31856 | − | 0.934192i | ||||
\(61\) | 0.343056 | − | 2.60577i | 0.0439238 | − | 0.333635i | −0.955348 | − | 0.295483i | \(-0.904520\pi\) |
0.999272 | − | 0.0381520i | \(-0.0121471\pi\) | |||||||
\(62\) | 3.44479 | − | 1.90879i | 0.437488 | − | 0.242416i | ||||
\(63\) | −0.977433 | − | 0.267947i | −0.123145 | − | 0.0337581i | ||||
\(64\) | 7.95540 | + | 0.843554i | 0.994425 | + | 0.105444i | ||||
\(65\) | 9.83531 | + | 5.67842i | 1.21992 | + | 0.704321i | ||||
\(66\) | 4.90776 | + | 2.15168i | 0.604104 | + | 0.264854i | ||||
\(67\) | 2.12383 | − | 2.76783i | 0.259467 | − | 0.338144i | −0.645395 | − | 0.763849i | \(-0.723307\pi\) |
0.904862 | + | 0.425705i | \(0.139974\pi\) | |||||||
\(68\) | −10.3807 | − | 0.365694i | −1.25885 | − | 0.0443469i | ||||
\(69\) | 2.31922 | + | 8.75625i | 0.279201 | + | 1.05413i | ||||
\(70\) | 1.60632 | − | 0.632463i | 0.191992 | − | 0.0755938i | ||||
\(71\) | −4.59606 | − | 4.59606i | −0.545452 | − | 0.545452i | 0.379670 | − | 0.925122i | \(-0.376038\pi\) |
−0.925122 | + | 0.379670i | \(0.876038\pi\) | |||||||
\(72\) | −4.66560 | + | 7.08747i | −0.549846 | + | 0.835266i | ||||
\(73\) | −9.75895 | + | 9.75895i | −1.14220 | + | 1.14220i | −0.154151 | + | 0.988047i | \(0.549264\pi\) |
−0.988047 | + | 0.154151i | \(0.950736\pi\) | |||||||
\(74\) | 0.734813 | − | 1.68925i | 0.0854203 | − | 0.196371i | ||||
\(75\) | −9.83875 | − | 9.89560i | −1.13608 | − | 1.14265i | ||||
\(76\) | −12.1736 | + | 4.54727i | −1.39641 | + | 0.521608i | ||||
\(77\) | 0.586343 | + | 0.449917i | 0.0668200 | + | 0.0512728i | ||||
\(78\) | −7.61067 | − | 1.16104i | −0.861739 | − | 0.131462i | ||||
\(79\) | −4.76659 | + | 8.25597i | −0.536283 | + | 0.928869i | 0.462817 | + | 0.886454i | \(0.346839\pi\) |
−0.999100 | + | 0.0424156i | \(0.986495\pi\) | |||||||
\(80\) | −0.873510 | − | 14.4271i | −0.0976614 | − | 1.61300i | ||||
\(81\) | −4.40990 | − | 7.84556i | −0.489989 | − | 0.871729i | ||||
\(82\) | −3.48493 | + | 12.1464i | −0.384847 | + | 1.34134i | ||||
\(83\) | 9.99876 | + | 1.31636i | 1.09751 | + | 0.144490i | 0.657463 | − | 0.753487i | \(-0.271630\pi\) |
0.440044 | + | 0.897976i | \(0.354963\pi\) | |||||||
\(84\) | −0.858430 | + | 0.795398i | −0.0936624 | + | 0.0867851i | ||||
\(85\) | 2.44951 | + | 18.6059i | 0.265687 | + | 2.01809i | ||||
\(86\) | −6.00466 | − | 8.11744i | −0.647499 | − | 0.875326i | ||||
\(87\) | −0.741857 | − | 1.80569i | −0.0795354 | − | 0.193591i | ||||
\(88\) | 5.10107 | − | 3.50241i | 0.543776 | − | 0.373358i | ||||
\(89\) | −6.07191 | + | 6.07191i | −0.643621 | + | 0.643621i | −0.951444 | − | 0.307822i | \(-0.900400\pi\) |
0.307822 | + | 0.951444i | \(0.400400\pi\) | |||||||
\(90\) | 14.0224 | + | 6.19598i | 1.47809 | + | 0.653114i | ||||
\(91\) | −0.980976 | − | 0.406334i | −0.102834 | − | 0.0425953i | ||||
\(92\) | 10.0015 | + | 3.06113i | 1.04273 | + | 0.319145i | ||||
\(93\) | 4.17021 | + | 2.42371i | 0.432430 | + | 0.251327i | ||||
\(94\) | −5.75255 | − | 3.45768i | −0.593330 | − | 0.356633i | ||||
\(95\) | 11.7391 | + | 20.3328i | 1.20441 | + | 2.08610i | ||||
\(96\) | 4.10838 | + | 8.89501i | 0.419309 | + | 0.907843i | ||||
\(97\) | −4.89585 | + | 8.47985i | −0.497098 | + | 0.860999i | −0.999994 | − | 0.00334789i | \(-0.998934\pi\) |
0.502897 | + | 0.864347i | \(0.332268\pi\) | |||||||
\(98\) | 8.51785 | − | 4.71981i | 0.860433 | − | 0.476773i | ||||
\(99\) | 0.819153 | + | 6.51174i | 0.0823279 | + | 0.654455i | ||||
\(100\) | −15.7012 | + | 3.61984i | −1.57012 | + | 0.361984i | ||||
\(101\) | 4.30300 | − | 3.30181i | 0.428165 | − | 0.328542i | −0.372096 | − | 0.928194i | \(-0.621361\pi\) |
0.800261 | + | 0.599652i | \(0.204694\pi\) | |||||||
\(102\) | −6.13379 | − | 11.1453i | −0.607335 | − | 1.10354i | ||||
\(103\) | 12.6692 | + | 3.39471i | 1.24834 | + | 0.334490i | 0.821693 | − | 0.569930i | \(-0.193030\pi\) |
0.426642 | + | 0.904421i | \(0.359696\pi\) | |||||||
\(104\) | −5.77652 | + | 6.75714i | −0.566435 | + | 0.662592i | ||||
\(105\) | 1.67370 | + | 1.29195i | 0.163337 | + | 0.126082i | ||||
\(106\) | 7.06367 | − | 16.2385i | 0.686085 | − | 1.57722i | ||||
\(107\) | 2.81325 | + | 1.16529i | 0.271967 | + | 0.112652i | 0.514499 | − | 0.857491i | \(-0.327978\pi\) |
−0.242532 | + | 0.970143i | \(0.577978\pi\) | |||||||
\(108\) | −10.3823 | − | 0.455606i | −0.999039 | − | 0.0438407i | ||||
\(109\) | 1.73974 | + | 4.20010i | 0.166637 | + | 0.402297i | 0.985035 | − | 0.172355i | \(-0.0551376\pi\) |
−0.818398 | + | 0.574652i | \(0.805138\pi\) | |||||||
\(110\) | −7.76456 | − | 8.04291i | −0.740322 | − | 0.766861i | ||||
\(111\) | 2.23770 | − | 0.288044i | 0.212393 | − | 0.0273399i | ||||
\(112\) | 0.257031 | + | 1.32666i | 0.0242871 | + | 0.125357i | ||||
\(113\) | −5.84502 | − | 10.1239i | −0.549853 | − | 0.952373i | −0.998284 | − | 0.0585559i | \(-0.981350\pi\) |
0.448431 | − | 0.893817i | \(-0.351983\pi\) | |||||||
\(114\) | −12.4257 | − | 9.94555i | −1.16377 | − | 0.931486i | ||||
\(115\) | 2.46656 | − | 18.7354i | 0.230008 | − | 1.74709i | ||||
\(116\) | −2.22312 | − | 0.372724i | −0.206411 | − | 0.0346065i | ||||
\(117\) | −3.55807 | − | 8.73188i | −0.328944 | − | 0.807262i | ||||
\(118\) | 17.3134 | − | 1.96992i | 1.59382 | − | 0.181346i | ||||
\(119\) | −0.454113 | − | 1.69477i | −0.0416284 | − | 0.155359i | ||||
\(120\) | 14.6220 | − | 9.97767i | 1.33480 | − | 0.910833i | ||||
\(121\) | −1.60831 | + | 6.00228i | −0.146210 | + | 0.545662i | ||||
\(122\) | 0.549959 | − | 3.67600i | 0.0497909 | − | 0.332810i | ||||
\(123\) | −14.9605 | + | 3.96251i | −1.34894 | + | 0.357287i | ||||
\(124\) | 4.91843 | − | 2.61324i | 0.441688 | − | 0.234676i | ||||
\(125\) | 4.22654 | + | 10.2038i | 0.378033 | + | 0.912653i | ||||
\(126\) | −1.37541 | − | 0.403212i | −0.122532 | − | 0.0359210i | ||||
\(127\) | − | 2.63721i | − | 0.234015i | −0.993131 | − | 0.117007i | \(-0.962670\pi\) | ||
0.993131 | − | 0.117007i | \(-0.0373301\pi\) | |||||||
\(128\) | 11.2279 | + | 1.39086i | 0.992415 | + | 0.122936i | ||||
\(129\) | 4.76523 | − | 11.4112i | 0.419555 | − | 1.00470i | ||||
\(130\) | 13.7657 | + | 8.27413i | 1.20733 | + | 0.725690i | ||||
\(131\) | 1.14473 | + | 0.878382i | 0.100015 | + | 0.0767446i | 0.657559 | − | 0.753403i | \(-0.271589\pi\) |
−0.557543 | + | 0.830148i | \(0.688256\pi\) | |||||||
\(132\) | 6.88597 | + | 3.16466i | 0.599347 | + | 0.275449i | ||||
\(133\) | −1.33629 | − | 1.74148i | −0.115871 | − | 0.151006i | ||||
\(134\) | 3.07200 | − | 3.86081i | 0.265380 | − | 0.333523i | ||||
\(135\) | 2.28977 | + | 18.6356i | 0.197072 | + | 1.60389i | ||||
\(136\) | −14.6692 | − | 0.775553i | −1.25787 | − | 0.0665031i | ||||
\(137\) | 19.2440 | − | 5.15642i | 1.64413 | − | 0.440543i | 0.686167 | − | 0.727444i | \(-0.259292\pi\) |
0.957960 | + | 0.286901i | \(0.0926251\pi\) | |||||||
\(138\) | 3.06134 | + | 12.4390i | 0.260599 | + | 1.05888i | ||||
\(139\) | 10.2995 | − | 1.35596i | 0.873595 | − | 0.115011i | 0.319621 | − | 0.947545i | \(-0.396444\pi\) |
0.553973 | + | 0.832534i | \(0.313111\pi\) | |||||||
\(140\) | 2.28708 | − | 0.854304i | 0.193294 | − | 0.0722019i | ||||
\(141\) | 0.0236773 | − | 8.22013i | 0.00199399 | − | 0.692260i | ||||
\(142\) | −6.38437 | − | 6.61324i | −0.535765 | − | 0.554971i | ||||
\(143\) | 6.87588i | 0.574990i | ||||||||
\(144\) | −6.77360 | + | 9.90547i | −0.564466 | + | 0.825456i | ||||
\(145\) | 4.07255i | 0.338207i | ||||||||
\(146\) | −14.0421 | + | 13.5561i | −1.16213 | + | 1.12191i | ||||
\(147\) | 10.3116 | + | 5.99306i | 0.850485 | + | 0.494300i | ||||
\(148\) | 1.08108 | − | 2.37029i | 0.0888644 | − | 0.194837i | ||||
\(149\) | −5.94620 | + | 0.782833i | −0.487132 | + | 0.0641321i | −0.370092 | − | 0.928995i | \(-0.620674\pi\) |
−0.117040 | + | 0.993127i | \(0.537341\pi\) | |||||||
\(150\) | −13.6656 | − | 14.2373i | −1.11579 | − | 1.16247i | ||||
\(151\) | −0.776662 | + | 0.208106i | −0.0632038 | + | 0.0169354i | −0.290282 | − | 0.956941i | \(-0.593749\pi\) |
0.227079 | + | 0.973876i | \(0.427083\pi\) | |||||||
\(152\) | −17.3267 | + | 6.12671i | −1.40538 | + | 0.496942i | ||||
\(153\) | 7.86798 | − | 13.4482i | 0.636089 | − | 1.08723i | ||||
\(154\) | 0.817884 | + | 0.650779i | 0.0659070 | + | 0.0524413i | ||||
\(155\) | −6.12565 | − | 7.98311i | −0.492024 | − | 0.641219i | ||||
\(156\) | −10.7325 | − | 1.83120i | −0.859291 | − | 0.146613i | ||||
\(157\) | −14.5295 | − | 11.1489i | −1.15958 | − | 0.889779i | −0.164263 | − | 0.986417i | \(-0.552525\pi\) |
−0.995320 | + | 0.0966372i | \(0.969191\pi\) | |||||||
\(158\) | −6.94549 | + | 11.5552i | −0.552553 | + | 0.919284i | ||||
\(159\) | 21.5107 | − | 2.76893i | 1.70591 | − | 0.219590i | ||||
\(160\) | −0.875926 | − | 20.4216i | −0.0692480 | − | 1.61447i | ||||
\(161\) | 1.76677i | 0.139241i | ||||||||
\(162\) | −6.04023 | − | 11.2034i | −0.474566 | − | 0.880220i | ||||
\(163\) | 2.99169 | + | 7.22259i | 0.234327 | + | 0.565717i | 0.996678 | − | 0.0814482i | \(-0.0259545\pi\) |
−0.762350 | + | 0.647165i | \(0.775955\pi\) | |||||||
\(164\) | −5.23010 | + | 17.0881i | −0.408402 | + | 1.33436i | ||||
\(165\) | 3.58177 | − | 13.2150i | 0.278841 | − | 1.02879i | ||||
\(166\) | 14.1054 | + | 2.11028i | 1.09479 | + | 0.163790i | ||||
\(167\) | 2.26161 | − | 8.44045i | 0.175009 | − | 0.653142i | −0.821541 | − | 0.570149i | \(-0.806885\pi\) |
0.996550 | − | 0.0829929i | \(-0.0264479\pi\) | |||||||
\(168\) | −1.23362 | + | 1.10332i | −0.0951758 | + | 0.0851226i | ||||
\(169\) | 0.807931 | + | 3.01524i | 0.0621485 | + | 0.231942i | ||||
\(170\) | 3.00034 | + | 26.3696i | 0.230115 | + | 2.02246i | ||||
\(171\) | 2.65561 | − | 19.3110i | 0.203079 | − | 1.47675i | ||||
\(172\) | −8.28844 | − | 11.6275i | −0.631988 | − | 0.886590i | ||||
\(173\) | 0.389977 | − | 2.96217i | 0.0296494 | − | 0.225210i | −0.970205 | − | 0.242286i | \(-0.922103\pi\) |
0.999854 | + | 0.0170768i | \(0.00543599\pi\) | |||||||
\(174\) | −1.00402 | − | 2.57171i | −0.0761147 | − | 0.194961i | ||||
\(175\) | −1.36088 | − | 2.35711i | −0.102873 | − | 0.178181i | ||||
\(176\) | 7.30009 | − | 4.82538i | 0.550265 | − | 0.363727i | ||||
\(177\) | 12.9429 | + | 16.9685i | 0.972849 | + | 1.27543i | ||||
\(178\) | −8.73683 | + | 8.43447i | −0.654853 | + | 0.632190i | ||||
\(179\) | −2.62554 | − | 6.33861i | −0.196242 | − | 0.473770i | 0.794873 | − | 0.606775i | \(-0.207537\pi\) |
−0.991115 | + | 0.133006i | \(0.957537\pi\) | |||||||
\(180\) | 19.6733 | + | 9.11022i | 1.46636 | + | 0.679035i | ||||
\(181\) | 14.4026 | + | 5.96576i | 1.07054 | + | 0.443431i | 0.847180 | − | 0.531306i | \(-0.178298\pi\) |
0.223357 | + | 0.974737i | \(0.428298\pi\) | |||||||
\(182\) | −1.37698 | − | 0.598978i | −0.102068 | − | 0.0443992i | ||||
\(183\) | 4.21075 | − | 1.72996i | 0.311268 | − | 0.127882i | ||||
\(184\) | 14.0659 | + | 4.57744i | 1.03695 | + | 0.337453i | ||||
\(185\) | −4.54639 | − | 1.21820i | −0.334258 | − | 0.0895640i | ||||
\(186\) | 5.83630 | + | 3.53095i | 0.427939 | + | 0.258902i | ||||
\(187\) | −9.01404 | + | 6.91671i | −0.659172 | + | 0.505800i | ||||
\(188\) | −8.04798 | − | 5.03237i | −0.586960 | − | 0.367024i | ||||
\(189\) | −0.439668 | − | 1.69947i | −0.0319811 | − | 0.123618i | ||||
\(190\) | 16.0928 | + | 29.0428i | 1.16750 | + | 2.10698i | ||||
\(191\) | −10.4588 | + | 18.1152i | −0.756771 | + | 1.31077i | 0.187717 | + | 0.982223i | \(0.439891\pi\) |
−0.944489 | + | 0.328544i | \(0.893442\pi\) | |||||||
\(192\) | 5.58775 | + | 12.6798i | 0.403261 | + | 0.915085i | ||||
\(193\) | −4.85291 | − | 8.40549i | −0.349320 | − | 0.605041i | 0.636809 | − | 0.771022i | \(-0.280254\pi\) |
−0.986129 | + | 0.165981i | \(0.946921\pi\) | |||||||
\(194\) | −7.13383 | + | 11.8686i | −0.512179 | + | 0.852113i | ||||
\(195\) | −0.0566592 | + | 19.6705i | −0.00405745 | + | 1.40864i | ||||
\(196\) | 12.1617 | − | 6.46171i | 0.868693 | − | 0.461551i | ||||
\(197\) | −23.0259 | − | 9.53766i | −1.64053 | − | 0.679530i | −0.644179 | − | 0.764875i | \(-0.722801\pi\) |
−0.996351 | + | 0.0853449i | \(0.972801\pi\) | |||||||
\(198\) | 0.996145 | + | 9.22796i | 0.0707929 | + | 0.655803i | ||||
\(199\) | 15.9180 | − | 15.9180i | 1.12840 | − | 1.12840i | 0.137959 | − | 0.990438i | \(-0.455946\pi\) |
0.990438 | − | 0.137959i | \(-0.0440542\pi\) | |||||||
\(200\) | −22.2916 | + | 4.72750i | −1.57625 | + | 0.334284i | ||||
\(201\) | 5.98873 | + | 0.805987i | 0.422413 | + | 0.0568500i | ||||
\(202\) | 6.16663 | − | 4.56160i | 0.433883 | − | 0.320953i | ||||
\(203\) | −0.0496992 | − | 0.377503i | −0.00348820 | − | 0.0264955i | ||||
\(204\) | −8.39564 | − | 15.9120i | −0.587812 | − | 1.11407i | ||||
\(205\) | 32.0105 | + | 4.21426i | 2.23571 | + | 0.294336i | ||||
\(206\) | 17.8297 | + | 5.11554i | 1.24225 | + | 0.356417i | ||||
\(207\) | −11.1577 | + | 11.0299i | −0.775513 | + | 0.766629i | ||||
\(208\) | −8.33621 | + | 9.41073i | −0.578013 | + | 0.652517i | ||||
\(209\) | −7.10735 | + | 12.3103i | −0.491626 | + | 0.851521i | ||||
\(210\) | 2.33444 | + | 1.86849i | 0.161092 | + | 0.128938i | ||||
\(211\) | 16.1471 | + | 12.3901i | 1.11161 | + | 0.852972i | 0.990204 | − | 0.139630i | \(-0.0445915\pi\) |
0.121411 | + | 0.992602i | \(0.461258\pi\) | |||||||
\(212\) | 10.3923 | − | 22.7853i | 0.713747 | − | 1.56490i | ||||
\(213\) | 2.94510 | − | 10.8660i | 0.201795 | − | 0.744524i | ||||
\(214\) | 3.94891 | + | 1.71775i | 0.269942 | + | 0.117423i | ||||
\(215\) | −18.2421 | + | 18.2421i | −1.24410 | + | 1.24410i | ||||
\(216\) | −14.6692 | − | 0.902728i | −0.998112 | − | 0.0614228i | ||||
\(217\) | 0.665236 | + | 0.665236i | 0.0451592 | + | 0.0451592i | ||||
\(218\) | 2.35540 | + | 5.98224i | 0.159528 | + | 0.405168i | ||||
\(219\) | −23.0720 | − | 6.25341i | −1.55906 | − | 0.422566i | ||||
\(220\) | −10.7788 | − | 11.5659i | −0.726706 | − | 0.779776i | ||||
\(221\) | 9.93705 | − | 12.9502i | 0.668439 | − | 0.871126i | ||||
\(222\) | 3.17126 | − | 0.351577i | 0.212841 | − | 0.0235963i | ||||
\(223\) | 10.4284 | + | 6.02086i | 0.698339 | + | 0.403186i | 0.806729 | − | 0.590922i | \(-0.201236\pi\) |
−0.108389 | + | 0.994109i | \(0.534569\pi\) | |||||||
\(224\) | 0.330408 | + | 1.88228i | 0.0220763 | + | 0.125765i | ||||
\(225\) | 6.38995 | − | 23.3097i | 0.425997 | − | 1.55398i | ||||
\(226\) | −8.01275 | − | 14.4606i | −0.533000 | − | 0.961906i | ||||
\(227\) | 1.05337 | − | 8.00114i | 0.0699146 | − | 0.531054i | −0.920270 | − | 0.391285i | \(-0.872031\pi\) |
0.990184 | − | 0.139769i | \(-0.0446360\pi\) | |||||||
\(228\) | −17.3222 | − | 14.3723i | −1.14719 | − | 0.951831i | ||||
\(229\) | −2.52217 | + | 0.332051i | −0.166670 | + | 0.0219425i | −0.213399 | − | 0.976965i | \(-0.568454\pi\) |
0.0467293 | + | 0.998908i | \(0.485120\pi\) | |||||||
\(230\) | 3.95419 | − | 26.4303i | 0.260732 | − | 1.74277i | ||||
\(231\) | −0.170742 | + | 1.26867i | −0.0112340 | + | 0.0834722i | ||||
\(232\) | −3.13420 | − | 0.582382i | −0.205770 | − | 0.0382352i | ||||
\(233\) | 4.35606 | + | 4.35606i | 0.285375 | + | 0.285375i | 0.835248 | − | 0.549873i | \(-0.185324\pi\) |
−0.549873 | + | 0.835248i | \(0.685324\pi\) | |||||||
\(234\) | −4.81368 | − | 12.4354i | −0.314680 | − | 0.812929i | ||||
\(235\) | −6.56257 | + | 15.8434i | −0.428095 | + | 1.03351i | ||||
\(236\) | 24.5300 | − | 2.35437i | 1.59677 | − | 0.153257i | ||||
\(237\) | −16.5119 | − | 0.0475610i | −1.07256 | − | 0.00308942i | ||||
\(238\) | −0.599915 | − | 2.40770i | −0.0388867 | − | 0.156068i | ||||
\(239\) | −15.0367 | + | 8.68147i | −0.972646 | + | 0.561558i | −0.900042 | − | 0.435803i | \(-0.856464\pi\) |
−0.0726043 | + | 0.997361i | \(0.523131\pi\) | |||||||
\(240\) | 20.9239 | − | 13.7443i | 1.35063 | − | 0.887191i | ||||
\(241\) | 6.10357 | + | 3.52390i | 0.393166 | + | 0.226994i | 0.683531 | − | 0.729922i | \(-0.260443\pi\) |
−0.290365 | + | 0.956916i | \(0.593777\pi\) | |||||||
\(242\) | −2.42359 | + | 8.44715i | −0.155794 | + | 0.543004i | ||||
\(243\) | 7.98784 | − | 13.3864i | 0.512420 | − | 0.858735i | ||||
\(244\) | 0.869166 | − | 5.18415i | 0.0556426 | − | 0.331881i | ||||
\(245\) | −15.1468 | − | 19.7397i | −0.967692 | − | 1.26112i | ||||
\(246\) | −21.2528 | + | 5.23047i | −1.35503 | + | 0.333483i | ||||
\(247\) | 5.28557 | − | 19.7260i | 0.336313 | − | 1.25514i | ||||
\(248\) | 7.01970 | − | 3.57265i | 0.445752 | − | 0.226863i | ||||
\(249\) | 6.63813 | + | 16.1573i | 0.420674 | + | 1.02393i | ||||
\(250\) | 5.72225 | + | 14.5333i | 0.361907 | + | 0.919167i | ||||
\(251\) | −4.83125 | + | 11.6637i | −0.304946 | + | 0.736204i | 0.694908 | + | 0.719099i | \(0.255445\pi\) |
−0.999854 | + | 0.0171056i | \(0.994555\pi\) | |||||||
\(252\) | −1.93479 | − | 0.604385i | −0.121880 | − | 0.0380727i | ||||
\(253\) | 10.5701 | − | 4.37830i | 0.664540 | − | 0.275261i | ||||
\(254\) | 0.0656625 | − | 3.72901i | 0.00412003 | − | 0.233979i | ||||
\(255\) | −25.8444 | + | 19.7131i | −1.61844 | + | 1.23448i | ||||
\(256\) | 15.8415 | + | 2.24622i | 0.990096 | + | 0.140389i | ||||
\(257\) | −1.76322 | + | 1.01799i | −0.109987 | + | 0.0635008i | −0.553984 | − | 0.832527i | \(-0.686893\pi\) |
0.443998 | + | 0.896028i | \(0.353560\pi\) | |||||||
\(258\) | 7.02213 | − | 16.0167i | 0.437179 | − | 0.997158i | ||||
\(259\) | 0.436292 | + | 0.0574390i | 0.0271099 | + | 0.00356908i | ||||
\(260\) | 19.2586 | + | 12.0423i | 1.19437 | + | 0.746833i | ||||
\(261\) | 2.07377 | − | 2.67060i | 0.128363 | − | 0.165306i | ||||
\(262\) | 1.59677 | + | 1.27053i | 0.0986488 | + | 0.0784936i | ||||
\(263\) | 23.2685 | − | 6.23478i | 1.43480 | − | 0.384453i | 0.544089 | − | 0.839028i | \(-0.316875\pi\) |
0.890709 | + | 0.454575i | \(0.150209\pi\) | |||||||
\(264\) | 9.65793 | + | 4.64627i | 0.594405 | + | 0.285958i | ||||
\(265\) | −43.7040 | − | 11.7104i | −2.68471 | − | 0.719367i | ||||
\(266\) | −1.84614 | − | 2.49572i | −0.113194 | − | 0.153022i | ||||
\(267\) | −14.3552 | − | 3.89080i | −0.878521 | − | 0.238113i | ||||
\(268\) | 4.43991 | − | 5.38268i | 0.271211 | − | 0.328799i | ||||
\(269\) | −11.8731 | + | 4.91801i | −0.723918 | + | 0.299857i | −0.714050 | − | 0.700095i | \(-0.753141\pi\) |
−0.00986781 | + | 0.999951i | \(0.503141\pi\) | |||||||
\(270\) | 2.77373 | + | 26.4076i | 0.168804 | + | 1.60711i | ||||
\(271\) | −17.3296 | −1.05270 | −0.526348 | − | 0.850269i | \(-0.676439\pi\) | ||||
−0.526348 | + | 0.850269i | \(0.676439\pi\) | |||||||
\(272\) | −20.7228 | − | 1.46187i | −1.25651 | − | 0.0886387i | ||||
\(273\) | −0.234797 | − | 1.82404i | −0.0142106 | − | 0.110396i | ||||
\(274\) | 27.3393 | − | 6.81200i | 1.65163 | − | 0.411528i | ||||
\(275\) | −10.7295 | + | 13.9830i | −0.647016 | + | 0.843208i | ||||
\(276\) | 4.01901 | + | 17.6649i | 0.241916 | + | 1.06330i | ||||
\(277\) | −6.88822 | + | 5.28552i | −0.413873 | + | 0.317576i | −0.794624 | − | 0.607101i | \(-0.792332\pi\) |
0.380751 | + | 0.924678i | \(0.375665\pi\) | |||||||
\(278\) | 14.5972 | − | 1.66088i | 0.875484 | − | 0.0996127i | ||||
\(279\) | −0.0481275 | + | 8.35421i | −0.00288132 | + | 0.500153i | ||||
\(280\) | 3.25519 | − | 1.15104i | 0.194535 | − | 0.0687876i | ||||
\(281\) | −5.33960 | − | 19.9277i | −0.318534 | − | 1.18878i | −0.920654 | − | 0.390379i | \(-0.872344\pi\) |
0.602120 | − | 0.798405i | \(-0.294323\pi\) | |||||||
\(282\) | 0.238148 | − | 11.6226i | 0.0141815 | − | 0.692118i | ||||
\(283\) | −1.03618 | − | 7.87058i | −0.0615946 | − | 0.467857i | −0.994250 | − | 0.107088i | \(-0.965847\pi\) |
0.932655 | − | 0.360769i | \(-0.117486\pi\) | |||||||
\(284\) | −8.86281 | − | 9.51005i | −0.525911 | − | 0.564317i | ||||
\(285\) | −20.4342 | + | 35.1587i | −1.21041 | + | 2.08262i | ||||
\(286\) | −0.171199 | + | 9.72246i | −0.0101232 | + | 0.574901i | ||||
\(287\) | −3.01862 | −0.178184 | ||||||||
\(288\) | −9.82446 | + | 13.8376i | −0.578912 | + | 0.815390i | ||||
\(289\) | 9.97334 | 0.586667 | ||||||||
\(290\) | −0.101400 | + | 5.75856i | −0.00595442 | + | 0.338154i | ||||
\(291\) | −16.9596 | − | 0.0488507i | −0.994192 | − | 0.00286368i | ||||
\(292\) | −20.1929 | + | 18.8186i | −1.18170 | + | 1.10128i | ||||
\(293\) | −0.806189 | − | 6.12361i | −0.0470981 | − | 0.357745i | −0.998725 | − | 0.0504884i | \(-0.983922\pi\) |
0.951627 | − | 0.307257i | \(-0.0994111\pi\) | |||||||
\(294\) | 14.4313 | + | 8.73090i | 0.841651 | + | 0.509197i | ||||
\(295\) | −11.5231 | − | 43.0049i | −0.670902 | − | 2.50384i | ||||
\(296\) | 1.58766 | − | 3.32466i | 0.0922808 | − | 0.193242i | ||||
\(297\) | −9.07795 | + | 6.84194i | −0.526756 | + | 0.397010i | ||||
\(298\) | −8.42739 | + | 0.958870i | −0.488186 | + | 0.0555458i | ||||
\(299\) | −13.0404 | + | 10.0062i | −0.754145 | + | 0.578676i | ||||
\(300\) | −18.9685 | − | 20.4717i | −1.09515 | − | 1.18193i | ||||
\(301\) | 1.46833 | − | 1.91356i | 0.0846330 | − | 0.110296i | ||||
\(302\) | −1.10338 | + | 0.274923i | −0.0634922 | + | 0.0158200i | ||||
\(303\) | 8.66884 | + | 3.62004i | 0.498012 | + | 0.207966i | ||||
\(304\) | −24.6523 | + | 8.23173i | −1.41391 | + | 0.472122i | ||||
\(305\) | −9.49689 | −0.543791 | ||||||||
\(306\) | 11.4601 | − | 18.8198i | 0.655132 | − | 1.07586i | ||||
\(307\) | −15.5108 | + | 6.42477i | −0.885246 | + | 0.366681i | −0.778529 | − | 0.627609i | \(-0.784034\pi\) |
−0.106717 | + | 0.994289i | \(0.534034\pi\) | |||||||
\(308\) | 1.14028 | + | 0.940562i | 0.0649735 | + | 0.0535935i | ||||
\(309\) | 5.81657 | + | 21.9606i | 0.330893 | + | 1.24929i | ||||
\(310\) | −8.46287 | − | 11.4406i | −0.480659 | − | 0.649782i | ||||
\(311\) | 30.2037 | + | 8.09305i | 1.71269 | + | 0.458914i | 0.976082 | − | 0.217403i | \(-0.0697586\pi\) |
0.736610 | + | 0.676317i | \(0.236425\pi\) | |||||||
\(312\) | −15.1302 | − | 2.85653i | −0.856577 | − | 0.161719i | ||||
\(313\) | −20.2793 | + | 5.43381i | −1.14625 | + | 0.307137i | −0.781462 | − | 0.623952i | \(-0.785526\pi\) |
−0.364790 | + | 0.931090i | \(0.618859\pi\) | |||||||
\(314\) | −20.2671 | − | 16.1262i | −1.14374 | − | 0.910057i | ||||
\(315\) | −0.498914 | + | 3.62800i | −0.0281106 | + | 0.204415i | ||||
\(316\) | −10.1086 | + | 16.1661i | −0.568653 | + | 0.909413i | ||||
\(317\) | −32.3681 | − | 4.26134i | −1.81797 | − | 0.239340i | −0.856869 | − | 0.515534i | \(-0.827594\pi\) |
−0.961102 | + | 0.276194i | \(0.910927\pi\) | |||||||
\(318\) | 30.4850 | − | 3.37967i | 1.70951 | − | 0.189522i | ||||
\(319\) | −2.13534 | + | 1.23284i | −0.119556 | + | 0.0690259i | ||||
\(320\) | −0.730088 | − | 28.8979i | −0.0408132 | − | 1.61544i | ||||
\(321\) | 0.673352 | + | 5.23100i | 0.0375828 | + | 0.291966i | ||||
\(322\) | −0.0439899 | + | 2.49820i | −0.00245146 | + | 0.139219i | ||||
\(323\) | 31.1771 | − | 12.9140i | 1.73474 | − | 0.718552i | ||||
\(324\) | −8.26191 | − | 15.9919i | −0.458995 | − | 0.888439i | ||||
\(325\) | 9.69018 | − | 23.3942i | 0.537514 | − | 1.29767i | ||||
\(326\) | 4.05041 | + | 10.2872i | 0.224331 | + | 0.569754i | ||||
\(327\) | −4.81147 | + | 6.23317i | −0.266075 | + | 0.344695i | ||||
\(328\) | −7.82080 | + | 24.0323i | −0.431832 | + | 1.32696i | ||||
\(329\) | 0.414969 | − | 1.54869i | 0.0228780 | − | 0.0853819i | ||||
\(330\) | 5.39364 | − | 18.5967i | 0.296910 | − | 1.02372i | ||||
\(331\) | 15.9049 | + | 20.7277i | 0.874213 | + | 1.13930i | 0.989293 | + | 0.145941i | \(0.0466209\pi\) |
−0.115080 | + | 0.993356i | \(0.536712\pi\) | |||||||
\(332\) | 19.8924 | + | 3.33513i | 1.09174 | + | 0.183039i | ||||
\(333\) | 2.36101 | + | 3.11390i | 0.129382 | + | 0.170641i | ||||
\(334\) | 3.40806 | − | 11.8784i | 0.186481 | − | 0.649959i | ||||
\(335\) | −10.9173 | − | 6.30313i | −0.596478 | − | 0.344377i | ||||
\(336\) | −1.77180 | + | 1.52937i | −0.0966597 | + | 0.0834338i | ||||
\(337\) | 11.6478 | − | 6.72488i | 0.634498 | − | 0.366327i | −0.147994 | − | 0.988988i | \(-0.547282\pi\) |
0.782492 | + | 0.622661i | \(0.213948\pi\) | |||||||
\(338\) | 1.06734 | + | 4.28365i | 0.0580554 | + | 0.233000i | ||||
\(339\) | 10.1743 | − | 17.5058i | 0.552594 | − | 0.950786i | ||||
\(340\) | 3.58590 | + | 37.3612i | 0.194473 | + | 2.02619i | ||||
\(341\) | 2.33140 | − | 5.62849i | 0.126252 | − | 0.304800i | ||||
\(342\) | 4.23583 | − | 27.2396i | 0.229047 | − | 1.47295i | ||||
\(343\) | 3.31710 | + | 3.31710i | 0.179106 | + | 0.179106i | ||||
\(344\) | −11.4303 | − | 16.6476i | −0.616281 | − | 0.897579i | ||||
\(345\) | 30.2752 | − | 12.4383i | 1.62996 | − | 0.669658i | ||||
\(346\) | 0.625179 | − | 4.17878i | 0.0336098 | − | 0.224653i | ||||
\(347\) | −14.5169 | + | 1.91119i | −0.779310 | + | 0.102598i | −0.509678 | − | 0.860365i | \(-0.670235\pi\) |
−0.269632 | + | 0.962963i | \(0.586902\pi\) | |||||||
\(348\) | −1.35565 | − | 3.66138i | −0.0726705 | − | 0.196271i | ||||
\(349\) | 3.40230 | − | 25.8430i | 0.182121 | − | 1.38335i | −0.619257 | − | 0.785188i | \(-0.712566\pi\) |
0.801378 | − | 0.598158i | \(-0.204100\pi\) | |||||||
\(350\) | −1.86558 | − | 3.36682i | −0.0997197 | − | 0.179964i | ||||
\(351\) | 10.0536 | − | 12.8702i | 0.536619 | − | 0.686962i | ||||
\(352\) | 10.4424 | − | 6.64130i | 0.556583 | − | 0.353983i | ||||
\(353\) | −14.8602 | − | 8.57952i | −0.790927 | − | 0.456642i | 0.0493620 | − | 0.998781i | \(-0.484281\pi\) |
−0.840289 | + | 0.542139i | \(0.817615\pi\) | |||||||
\(354\) | 17.8787 | + | 24.3156i | 0.950243 | + | 1.29236i | ||||
\(355\) | −14.2976 | + | 18.6330i | −0.758836 | + | 0.988935i | ||||
\(356\) | −12.5638 | + | 11.7088i | −0.665882 | + | 0.620563i | ||||
\(357\) | 2.15506 | − | 2.14269i | 0.114058 | − | 0.113403i | ||||
\(358\) | −3.55467 | − | 9.02812i | −0.187870 | − | 0.477151i | ||||
\(359\) | −8.04157 | − | 8.04157i | −0.424418 | − | 0.424418i | 0.462304 | − | 0.886722i | \(-0.347023\pi\) |
−0.886722 | + | 0.462304i | \(0.847023\pi\) | |||||||
\(360\) | 27.5911 | + | 13.3716i | 1.45418 | + | 0.704747i | ||||
\(361\) | 16.4181 | − | 16.4181i | 0.864110 | − | 0.864110i | ||||
\(362\) | 20.2167 | + | 8.79415i | 1.06256 | + | 0.462210i | ||||
\(363\) | −10.4042 | + | 2.75571i | −0.546081 | + | 0.144637i | ||||
\(364\) | −1.93212 | − | 0.881236i | −0.101271 | − | 0.0461893i | ||||
\(365\) | 39.5639 | + | 30.3584i | 2.07087 | + | 1.58903i | ||||
\(366\) | 5.99705 | − | 2.34131i | 0.313471 | − | 0.122382i | ||||
\(367\) | 0.666895 | − | 1.15510i | 0.0348116 | − | 0.0602955i | −0.848095 | − | 0.529845i | \(-0.822250\pi\) |
0.882906 | + | 0.469549i | \(0.155584\pi\) | |||||||
\(368\) | 19.7751 | + | 6.82269i | 1.03085 | + | 0.355657i | ||||
\(369\) | −18.8451 | − | 19.0635i | −0.981038 | − | 0.992407i | ||||
\(370\) | −6.39824 | − | 1.83573i | −0.332629 | − | 0.0954350i | ||||
\(371\) | 4.19403 | + | 0.552154i | 0.217743 | + | 0.0286664i | ||||
\(372\) | 8.16459 | + | 5.13806i | 0.423314 | + | 0.266396i | ||||
\(373\) | −2.13601 | − | 16.2246i | −0.110599 | − | 0.840079i | −0.953369 | − | 0.301806i | \(-0.902410\pi\) |
0.842771 | − | 0.538273i | \(-0.180923\pi\) | |||||||
\(374\) | −12.9180 | + | 9.55576i | −0.667975 | + | 0.494117i | ||||
\(375\) | −11.6890 | + | 15.1429i | −0.603619 | + | 0.781978i | ||||
\(376\) | −11.2545 | − | 7.31613i | −0.580407 | − | 0.377301i | ||||
\(377\) | 2.50484 | − | 2.50484i | 0.129006 | − | 0.129006i | ||||
\(378\) | −0.579374 | − | 2.41399i | −0.0297998 | − | 0.124162i | ||||
\(379\) | −2.28676 | − | 0.947206i | −0.117463 | − | 0.0486547i | 0.323178 | − | 0.946338i | \(-0.395249\pi\) |
−0.440641 | + | 0.897683i | \(0.645249\pi\) | |||||||
\(380\) | 22.0321 | + | 41.4670i | 1.13022 | + | 2.12721i | ||||
\(381\) | 3.96238 | − | 2.27249i | 0.202999 | − | 0.116423i | ||||
\(382\) | −15.2397 | + | 25.3543i | −0.779731 | + | 1.29724i | ||||
\(383\) | −11.9607 | − | 20.7165i | −0.611162 | − | 1.05856i | −0.991045 | − | 0.133529i | \(-0.957369\pi\) |
0.379883 | − | 0.925035i | \(-0.375964\pi\) | |||||||
\(384\) | 7.58534 | + | 18.0683i | 0.387088 | + | 0.922043i | ||||
\(385\) | 1.33527 | − | 2.31276i | 0.0680517 | − | 0.117869i | ||||
\(386\) | −6.65271 | − | 12.0061i | −0.338614 | − | 0.611097i | ||||
\(387\) | 21.2514 | − | 2.67335i | 1.08027 | − | 0.135894i | ||||
\(388\) | −10.3827 | + | 16.6045i | −0.527102 | + | 0.842964i | ||||
\(389\) | −5.19838 | + | 3.98886i | −0.263568 | + | 0.202243i | −0.732088 | − | 0.681210i | \(-0.761454\pi\) |
0.468520 | + | 0.883453i | \(0.344787\pi\) | |||||||
\(390\) | −0.569882 | + | 27.8126i | −0.0288571 | + | 1.40835i | ||||
\(391\) | −26.2356 | − | 7.02982i | −1.32679 | − | 0.355513i | ||||
\(392\) | 17.3575 | − | 8.83401i | 0.876685 | − | 0.446185i | ||||
\(393\) | −0.333344 | + | 2.47685i | −0.0168150 | + | 0.124940i | ||||
\(394\) | −32.3211 | − | 14.0595i | −1.62831 | − | 0.708308i | ||||
\(395\) | 31.8249 | + | 13.1823i | 1.60128 | + | 0.663274i | ||||
\(396\) | 1.17878 | + | 13.0731i | 0.0592360 | + | 0.656947i | ||||
\(397\) | 5.36519 | + | 12.9527i | 0.269271 | + | 0.650078i | 0.999449 | − | 0.0331786i | \(-0.0105630\pi\) |
−0.730178 | + | 0.683257i | \(0.760563\pi\) | |||||||
\(398\) | 22.9043 | − | 22.1116i | 1.14809 | − | 1.10836i | ||||
\(399\) | 1.46508 | − | 3.50839i | 0.0733456 | − | 0.175639i | ||||
\(400\) | −31.6379 | + | 6.12963i | −1.58189 | + | 0.306481i | ||||
\(401\) | 11.7994 | + | 20.4372i | 0.589236 | + | 1.02059i | 0.994333 | + | 0.106312i | \(0.0339044\pi\) |
−0.405097 | + | 0.914274i | \(0.632762\pi\) | |||||||
\(402\) | 8.44797 | + | 1.28877i | 0.421346 | + | 0.0642781i | ||||
\(403\) | −1.14244 | + | 8.67766i | −0.0569088 | + | 0.432265i | ||||
\(404\) | 8.83316 | − | 6.29654i | 0.439466 | − | 0.313265i | ||||
\(405\) | −26.0266 | + | 19.4986i | −1.29327 | + | 0.968895i | ||||
\(406\) | −0.0608752 | − | 0.535025i | −0.00302118 | − | 0.0265528i | ||||
\(407\) | −0.737549 | − | 2.75257i | −0.0365589 | − | 0.136440i | ||||
\(408\) | −11.4752 | − | 22.7086i | −0.568107 | − | 1.12424i | ||||
\(409\) | 1.11161 | − | 4.14858i | 0.0549655 | − | 0.205134i | −0.932982 | − | 0.359923i | \(-0.882803\pi\) |
0.987948 | + | 0.154789i | \(0.0494697\pi\) | |||||||
\(410\) | 45.1577 | + | 6.75595i | 2.23018 | + | 0.333652i | ||||
\(411\) | 24.3301 | + | 24.4706i | 1.20011 | + | 1.20705i | ||||
\(412\) | 25.0837 | + | 7.67728i | 1.23579 | + | 0.378232i | ||||
\(413\) | 1.59294 | + | 3.84569i | 0.0783834 | + | 0.189234i | ||||
\(414\) | −16.0515 | + | 15.3184i | −0.788890 | + | 0.752856i | ||||
\(415\) | − | 36.4411i | − | 1.78883i | ||||||
\(416\) | −12.0217 | + | 13.0992i | −0.589411 | + | 0.642239i | ||||
\(417\) | 10.9124 | + | 14.3065i | 0.534384 | + | 0.700592i | ||||
\(418\) | −10.3563 | + | 17.2297i | −0.506541 | + | 0.842733i | ||||
\(419\) | −13.1367 | − | 10.0802i | −0.641771 | − | 0.492449i | 0.235858 | − | 0.971787i | \(-0.424210\pi\) |
−0.877630 | + | 0.479339i | \(0.840876\pi\) | |||||||
\(420\) | 3.25436 | + | 2.70016i | 0.158797 | + | 0.131754i | ||||
\(421\) | 5.83226 | + | 7.60075i | 0.284247 | + | 0.370438i | 0.913553 | − | 0.406720i | \(-0.133327\pi\) |
−0.629306 | + | 0.777158i | \(0.716661\pi\) | |||||||
\(422\) | 22.5235 | + | 17.9216i | 1.09643 | + | 0.872411i | ||||
\(423\) | 12.3711 | − | 7.04772i | 0.601501 | − | 0.342672i | ||||
\(424\) | 15.2620 | − | 31.9595i | 0.741188 | − | 1.55209i | ||||
\(425\) | 40.4166 | − | 10.8296i | 1.96049 | − | 0.525313i | ||||
\(426\) | 4.43490 | − | 15.2911i | 0.214871 | − | 0.740855i | ||||
\(427\) | 0.880311 | − | 0.115895i | 0.0426012 | − | 0.00560856i | ||||
\(428\) | 5.54096 | + | 2.52722i | 0.267832 | + | 0.122158i | ||||
\(429\) | −10.3309 | + | 5.92496i | −0.498782 | + | 0.286060i | ||||
\(430\) | −26.2484 | + | 25.3400i | −1.26581 | + | 1.22201i | ||||
\(431\) | − | 28.6503i | − | 1.38004i | −0.723791 | − | 0.690019i | \(-0.757602\pi\) | ||
0.723791 | − | 0.690019i | \(-0.242398\pi\) | |||||||
\(432\) | −20.7197 | − | 1.64169i | −0.996876 | − | 0.0789859i | ||||
\(433\) | 2.24451i | 0.107864i | 0.998545 | + | 0.0539321i | \(0.0171755\pi\) | ||||
−0.998545 | + | 0.0539321i | \(0.982825\pi\) | |||||||
\(434\) | 0.924077 | + | 0.957204i | 0.0443571 | + | 0.0459473i | ||||
\(435\) | −6.11896 | + | 3.50932i | −0.293381 | + | 0.168259i | ||||
\(436\) | 3.18158 | + | 8.51749i | 0.152370 | + | 0.407914i | ||||
\(437\) | −33.6900 | + | 4.43538i | −1.61161 | + | 0.212173i | ||||
\(438\) | −32.4680 | − | 9.41674i | −1.55138 | − | 0.449949i | ||||
\(439\) | −14.1287 | + | 3.78576i | −0.674324 | + | 0.180685i | −0.579702 | − | 0.814829i | \(-0.696831\pi\) |
−0.0946223 | + | 0.995513i | \(0.530164\pi\) | |||||||
\(440\) | −14.9532 | − | 16.6226i | −0.712864 | − | 0.792449i | ||||
\(441\) | −0.119004 | + | 20.6573i | −0.00566684 | + | 0.983679i | ||||
\(442\) | 14.3734 | − | 18.0641i | 0.683672 | − | 0.859223i | ||||
\(443\) | 11.5969 | + | 15.1134i | 0.550985 | + | 0.718058i | 0.982958 | − | 0.183829i | \(-0.0588492\pi\) |
−0.431973 | + | 0.901886i | \(0.642183\pi\) | |||||||
\(444\) | 4.49290 | − | 0.418168i | 0.213224 | − | 0.0198454i | ||||
\(445\) | 24.6162 | + | 18.8887i | 1.16692 | + | 0.895410i | ||||
\(446\) | 14.5958 | + | 8.77311i | 0.691133 | + | 0.415419i | ||||
\(447\) | −6.30005 | − | 8.25953i | −0.297982 | − | 0.390663i | ||||
\(448\) | 0.420329 | + | 2.66976i | 0.0198587 | + | 0.126135i | ||||
\(449\) | 6.68952i | 0.315698i | 0.987463 | + | 0.157849i | \(0.0504559\pi\) | ||||
−0.987463 | + | 0.157849i | \(0.949544\pi\) | |||||||
\(450\) | 9.61573 | − | 32.8006i | 0.453290 | − | 1.54624i | ||||
\(451\) | 7.48056 | + | 18.0597i | 0.352246 | + | 0.850397i | ||||
\(452\) | −10.9699 | − | 20.6467i | −0.515983 | − | 0.971141i | ||||
\(453\) | −0.981927 | − | 0.987600i | −0.0461349 | − | 0.0464015i | ||||
\(454\) | 1.68867 | − | 11.2873i | 0.0792534 | − | 0.529741i | ||||
\(455\) | −0.993010 | + | 3.70596i | −0.0465530 | + | 0.173738i | ||||
\(456\) | −24.1357 | − | 20.7537i | −1.13026 | − | 0.971881i | ||||
\(457\) | 4.16127 | + | 15.5301i | 0.194656 | + | 0.726466i | 0.992356 | + | 0.123411i | \(0.0393834\pi\) |
−0.797700 | + | 0.603055i | \(0.793950\pi\) | |||||||
\(458\) | −3.57461 | + | 0.406719i | −0.167030 | + | 0.0190047i | ||||
\(459\) | 26.9857 | + | 0.233194i | 1.25958 | + | 0.0108846i | ||||
\(460\) | 6.24928 | − | 37.2739i | 0.291374 | − | 1.73790i | ||||
\(461\) | −0.0454694 | + | 0.345374i | −0.00211772 | + | 0.0160857i | −0.992471 | − | 0.122479i | \(-0.960916\pi\) |
0.990353 | + | 0.138565i | \(0.0442489\pi\) | |||||||
\(462\) | −0.273017 | + | 1.78964i | −0.0127019 | + | 0.0832615i | ||||
\(463\) | 18.9935 | + | 32.8977i | 0.882702 | + | 1.52888i | 0.848325 | + | 0.529475i | \(0.177611\pi\) |
0.0343766 | + | 0.999409i | \(0.489055\pi\) | |||||||
\(464\) | −4.41723 | − | 0.901521i | −0.205065 | − | 0.0418521i | ||||
\(465\) | 6.71604 | − | 16.0828i | 0.311449 | − | 0.745821i | ||||
\(466\) | 6.05099 | + | 6.26791i | 0.280307 | + | 0.290355i | ||||
\(467\) | −3.91506 | − | 9.45180i | −0.181168 | − | 0.437377i | 0.807040 | − | 0.590497i | \(-0.201068\pi\) |
−0.988208 | + | 0.153119i | \(0.951068\pi\) | |||||||
\(468\) | −6.49689 | − | 17.7035i | −0.300319 | − | 0.818343i | ||||
\(469\) | 1.08890 | + | 0.451037i | 0.0502807 | + | 0.0208269i | ||||
\(470\) | −9.67391 | + | 22.2391i | −0.446224 | + | 1.02581i | ||||
\(471\) | 4.23098 | − | 31.4375i | 0.194953 | − | 1.44856i | ||||
\(472\) | 34.7440 | − | 2.71831i | 1.59922 | − | 0.125120i | ||||
\(473\) | −15.0871 | − | 4.04257i | −0.693704 | − | 0.185877i | ||||
\(474\) | −23.3465 | − | 0.478371i | −1.07234 | − | 0.0219723i | ||||
\(475\) | 41.5306 | − | 31.8675i | 1.90555 | − | 1.46218i | ||||
\(476\) | −0.788329 | − | 3.41942i | −0.0361330 | − | 0.156729i | ||||
\(477\) | 22.6961 | + | 29.9336i | 1.03918 | + | 1.37057i | ||||
\(478\) | −21.4780 | + | 11.9012i | −0.982382 | + | 0.544346i | ||||
\(479\) | 3.42795 | − | 5.93739i | 0.156627 | − | 0.271286i | −0.777023 | − | 0.629472i | \(-0.783271\pi\) |
0.933650 | + | 0.358186i | \(0.116605\pi\) | |||||||
\(480\) | 29.9284 | − | 18.9134i | 1.36604 | − | 0.863275i | ||||
\(481\) | 2.04702 | + | 3.54554i | 0.0933361 | + | 0.161663i | ||||
\(482\) | 8.54267 | + | 5.13474i | 0.389108 | + | 0.233881i | ||||
\(483\) | −2.65455 | + | 1.52243i | −0.120786 | + | 0.0692729i | ||||
\(484\) | −3.63726 | + | 11.8839i | −0.165330 | + | 0.540176i | ||||
\(485\) | 32.6879 | + | 13.5398i | 1.48428 | + | 0.614810i | ||||
\(486\) | 11.6281 | − | 18.7293i | 0.527460 | − | 0.849580i | ||||
\(487\) | −24.9342 | + | 24.9342i | −1.12988 | + | 1.12988i | −0.139678 | + | 0.990197i | \(0.544607\pi\) |
−0.990197 | + | 0.139678i | \(0.955393\pi\) | |||||||
\(488\) | 1.35807 | − | 7.30872i | 0.0614771 | − | 0.330850i | ||||
\(489\) | −8.27391 | + | 10.7187i | −0.374159 | + | 0.484716i | ||||
\(490\) | −20.9260 | − | 28.2889i | −0.945339 | − | 1.27796i | ||||
\(491\) | 0.0434318 | + | 0.329897i | 0.00196005 | + | 0.0148881i | 0.992397 | − | 0.123078i | \(-0.0392767\pi\) |
−0.990437 | + | 0.137967i | \(0.955943\pi\) | |||||||
\(492\) | −30.1815 | + | 6.86670i | −1.36069 | + | 0.309575i | ||||
\(493\) | 5.80347 | + | 0.764042i | 0.261375 | + | 0.0344107i | ||||
\(494\) | 7.96491 | − | 27.7609i | 0.358358 | − | 1.24902i | ||||
\(495\) | 22.9418 | − | 6.00580i | 1.03116 | − | 0.269941i | ||||
\(496\) | 10.0148 | − | 4.87692i | 0.449677 | − | 0.218980i | ||||
\(497\) | 1.09792 | − | 1.90165i | 0.0492485 | − | 0.0853008i | ||||
\(498\) | 8.98398 | + | 23.0117i | 0.402582 | + | 1.03118i | ||||
\(499\) | 7.84168 | + | 6.01713i | 0.351042 | + | 0.269364i | 0.769197 | − | 0.639012i | \(-0.220656\pi\) |
−0.418155 | + | 0.908376i | \(0.637323\pi\) | |||||||
\(500\) | 7.72937 | + | 20.6925i | 0.345668 | + | 0.925397i | ||||
\(501\) | 14.6305 | − | 3.87510i | 0.653643 | − | 0.173127i | ||||
\(502\) | −7.12177 | + | 16.3721i | −0.317860 | + | 0.730722i | ||||
\(503\) | −16.8400 | + | 16.8400i | −0.750858 | + | 0.750858i | −0.974639 | − | 0.223782i | \(-0.928160\pi\) |
0.223782 | + | 0.974639i | \(0.428160\pi\) | |||||||
\(504\) | −2.72073 | − | 0.902770i | −0.121191 | − | 0.0402126i | ||||
\(505\) | −13.8581 | − | 13.8581i | −0.616678 | − | 0.616678i | ||||
\(506\) | 15.0551 | − | 5.92771i | 0.669283 | − | 0.263519i | ||||
\(507\) | −3.83417 | + | 3.81214i | −0.170281 | + | 0.169303i | ||||
\(508\) | 0.185693 | − | 5.27116i | 0.00823879 | − | 0.233870i | ||||
\(509\) | 11.7388 | − | 15.2983i | 0.520313 | − | 0.678085i | −0.457102 | − | 0.889414i | \(-0.651113\pi\) |
0.977415 | + | 0.211330i | \(0.0677793\pi\) | |||||||
\(510\) | −37.0346 | + | 27.2307i | −1.63992 | + | 1.20579i | ||||
\(511\) | −4.03783 | − | 2.33124i | −0.178623 | − | 0.103128i | ||||
\(512\) | 22.3439 | + | 3.57058i | 0.987471 | + | 0.157799i | ||||
\(513\) | 31.3029 | − | 12.6503i | 1.38206 | − | 0.558525i | ||||
\(514\) | −2.51853 | + | 1.39554i | −0.111087 | + | 0.0615545i | ||||
\(515\) | 6.18611 | − | 46.9882i | 0.272593 | − | 2.07055i | ||||
\(516\) | 10.3280 | − | 22.4727i | 0.454667 | − | 0.989307i | ||||
\(517\) | −10.2938 | + | 1.35520i | −0.452719 | + | 0.0596016i | ||||
\(518\) | 0.615485 | + | 0.0920814i | 0.0270428 | + | 0.00404582i | ||||
\(519\) | 4.78667 | − | 1.96657i | 0.210111 | − | 0.0863228i | ||||
\(520\) | 26.9317 | + | 17.5073i | 1.18103 | + | 0.767745i | ||||
\(521\) | −24.6409 | − | 24.6409i | −1.07954 | − | 1.07954i | −0.996551 | − | 0.0829879i | \(-0.973554\pi\) |
−0.0829879 | − | 0.996551i | \(-0.526446\pi\) | |||||||
\(522\) | 2.99880 | − | 3.72458i | 0.131254 | − | 0.163020i | ||||
\(523\) | −1.23077 | + | 2.97134i | −0.0538178 | + | 0.129928i | −0.948502 | − | 0.316772i | \(-0.897401\pi\) |
0.894684 | + | 0.446700i | \(0.147401\pi\) | |||||||
\(524\) | 2.22619 | + | 1.83628i | 0.0972516 | + | 0.0802182i | ||||
\(525\) | 2.36886 | − | 4.07583i | 0.103385 | − | 0.177884i | ||||
\(526\) | 33.0568 | − | 8.23659i | 1.44134 | − | 0.359132i | ||||
\(527\) | −12.5253 | + | 7.23150i | −0.545612 | + | 0.315009i | ||||
\(528\) | 13.5406 | + | 6.81026i | 0.589278 | + | 0.296379i | ||||
\(529\) | 3.76740 | + | 2.17511i | 0.163800 | + | 0.0945700i | ||||
\(530\) | −61.5056 | − | 17.6467i | −2.67163 | − | 0.766522i | ||||
\(531\) | −14.3421 | + | 34.0684i | −0.622393 | + | 1.47844i | ||||
\(532\) | −2.54829 | − | 3.57490i | −0.110483 | − | 0.154991i | ||||
\(533\) | −17.0962 | − | 22.2802i | −0.740518 | − | 0.965062i | ||||
\(534\) | −20.2012 | − | 5.85899i | −0.874193 | − | 0.253544i | ||||
\(535\) | 2.84776 | − | 10.6280i | 0.123119 | − | 0.459488i | ||||
\(536\) | 6.41203 | − | 7.50053i | 0.276958 | − | 0.323974i | ||||
\(537\) | 7.26125 | − | 9.40682i | 0.313346 | − | 0.405934i | ||||
\(538\) | −16.9110 | + | 6.65842i | −0.729085 | + | 0.287065i | ||||
\(539\) | 5.76479 | − | 13.9174i | 0.248307 | − | 0.599467i | ||||
\(540\) | 3.26453 | + | 37.4092i | 0.140483 | + | 1.60984i | ||||
\(541\) | −4.07207 | + | 1.68670i | −0.175072 | + | 0.0725171i | −0.468498 | − | 0.883465i | \(-0.655205\pi\) |
0.293426 | + | 0.955982i | \(0.405205\pi\) | |||||||
\(542\) | −24.5039 | − | 0.431480i | −1.05253 | − | 0.0185336i | ||||
\(543\) | 3.44727 | + | 26.7804i | 0.147936 | + | 1.14926i | ||||
\(544\) | −29.2656 | − | 2.58304i | −1.25475 | − | 0.110747i | ||||
\(545\) | 14.2262 | − | 8.21351i | 0.609384 | − | 0.351828i | ||||
\(546\) | −0.286586 | − | 2.58503i | −0.0122647 | − | 0.110629i | ||||
\(547\) | −11.0782 | − | 1.45848i | −0.473672 | − | 0.0623600i | −0.110088 | − | 0.993922i | \(-0.535113\pi\) |
−0.363583 | + | 0.931562i | \(0.618447\pi\) | |||||||
\(548\) | 38.8273 | − | 8.95143i | 1.65862 | − | 0.382386i | ||||
\(549\) | 6.22765 | + | 4.83590i | 0.265790 | + | 0.206391i | ||||
\(550\) | −15.5197 | + | 19.5048i | −0.661761 | + | 0.831686i | ||||
\(551\) | 7.07373 | − | 1.89540i | 0.301351 | − | 0.0807467i | ||||
\(552\) | 5.24303 | + | 25.0782i | 0.223158 | + | 1.06740i | ||||
\(553\) | −3.11087 | − | 0.833554i | −0.132287 | − | 0.0354463i | ||||
\(554\) | −9.87151 | + | 7.30219i | −0.419400 | + | 0.310240i | ||||
\(555\) | −2.08730 | − | 7.88063i | −0.0886009 | − | 0.334514i | ||||
\(556\) | 20.6818 | − | 1.98502i | 0.877102 | − | 0.0841836i | ||||
\(557\) | −13.5251 | + | 5.60228i | −0.573076 | + | 0.237376i | −0.650351 | − | 0.759634i | \(-0.725378\pi\) |
0.0772746 | + | 0.997010i | \(0.475378\pi\) | |||||||
\(558\) | −0.276059 | + | 11.8116i | −0.0116865 | + | 0.500025i | ||||
\(559\) | 22.4398 | 0.949102 | ||||||||
\(560\) | 4.63148 | − | 1.54651i | 0.195716 | − | 0.0653520i | ||||
\(561\) | −18.1597 | − | 7.58334i | −0.766703 | − | 0.320169i | ||||
\(562\) | −7.05400 | − | 28.3106i | −0.297555 | − | 1.19421i | ||||
\(563\) | 1.75662 | − | 2.28927i | 0.0740325 | − | 0.0964810i | −0.754869 | − | 0.655876i | \(-0.772300\pi\) |
0.828902 | + | 0.559394i | \(0.188966\pi\) | |||||||
\(564\) | 0.626126 | − | 16.4284i | 0.0263646 | − | 0.691761i | ||||
\(565\) | −33.5117 | + | 25.7144i | −1.40985 | + | 1.08181i | ||||
\(566\) | −1.26919 | − | 11.1547i | −0.0533480 | − | 0.468869i | ||||
\(567\) | 2.17457 | − | 2.12503i | 0.0913235 | − | 0.0892430i | ||||
\(568\) | −12.2952 | − | 13.6678i | −0.515894 | − | 0.573489i | ||||
\(569\) | 7.78708 | + | 29.0618i | 0.326451 | + | 1.21833i | 0.912845 | + | 0.408307i | \(0.133881\pi\) |
−0.586393 | + | 0.810026i | \(0.699453\pi\) | |||||||
\(570\) | −29.7692 | + | 49.2055i | −1.24689 | + | 2.06099i | ||||
\(571\) | −2.60771 | − | 19.8075i | −0.109129 | − | 0.828920i | −0.955223 | − | 0.295886i | \(-0.904385\pi\) |
0.846094 | − | 0.533034i | \(-0.178948\pi\) | |||||||
\(572\) | −0.484148 | + | 13.7432i | −0.0202433 | + | 0.574634i | ||||
\(573\) | −36.2302 | − | 0.104358i | −1.51354 | − | 0.00435960i | ||||
\(574\) | −4.26832 | − | 0.0751591i | −0.178156 | − | 0.00313708i | ||||
\(575\) | −42.1337 | −1.75710 | ||||||||
\(576\) | −14.2363 | + | 19.3217i | −0.593178 | + | 0.805072i | ||||
\(577\) | −37.0391 | −1.54196 | −0.770978 | − | 0.636862i | \(-0.780232\pi\) | ||||
−0.770978 | + | 0.636862i | \(0.780232\pi\) | |||||||
\(578\) | 14.1022 | + | 0.248321i | 0.586576 | + | 0.0103288i | ||||
\(579\) | 8.44739 | − | 14.5345i | 0.351062 | − | 0.604032i | ||||
\(580\) | −0.286758 | + | 8.14005i | −0.0119070 | + | 0.337997i | ||||
\(581\) | 0.444708 | + | 3.37790i | 0.0184496 | + | 0.140139i | ||||
\(582\) | −23.9796 | − | 0.491343i | −0.993987 | − | 0.0203668i | ||||
\(583\) | −7.08997 | − | 26.4601i | −0.293636 | − | 1.09587i | ||||
\(584\) | −29.0213 | + | 26.1067i | −1.20091 | + | 1.08030i | ||||
\(585\) | −29.6036 | + | 16.8650i | −1.22396 | + | 0.697282i | ||||
\(586\) | −0.987478 | − | 8.67883i | −0.0407924 | − | 0.358519i | ||||
\(587\) | −20.0693 | + | 15.3997i | −0.828350 | + | 0.635616i | −0.933394 | − | 0.358852i | \(-0.883168\pi\) |
0.105044 | + | 0.994468i | \(0.466502\pi\) | |||||||
\(588\) | 20.1884 | + | 12.7048i | 0.832556 | + | 0.523936i | ||||
\(589\) | −11.0152 | + | 14.3552i | −0.453872 | + | 0.591497i | ||||
\(590\) | −15.2229 | − | 61.0955i | −0.626715 | − | 2.51526i | ||||
\(591\) | −5.51126 | − | 42.8148i | −0.226703 | − | 1.76117i | ||||
\(592\) | 2.32772 | − | 4.66152i | 0.0956687 | − | 0.191587i | ||||
\(593\) | 29.5317 | 1.21272 | 0.606360 | − | 0.795190i | \(-0.292629\pi\) | ||||
0.606360 | + | 0.795190i | \(0.292629\pi\) | |||||||
\(594\) | −13.0065 | + | 9.44844i | −0.533664 | + | 0.387674i | ||||
\(595\) | −5.85729 | + | 2.42617i | −0.240126 | + | 0.0994633i | ||||
\(596\) | −11.9402 | + | 1.14601i | −0.489088 | + | 0.0469423i | ||||
\(597\) | 37.6332 | + | 10.2000i | 1.54022 | + | 0.417460i | ||||
\(598\) | −18.6882 | + | 13.8241i | −0.764216 | + | 0.565308i | ||||
\(599\) | −3.23584 | − | 0.867041i | −0.132213 | − | 0.0354263i | 0.192106 | − | 0.981374i | \(-0.438468\pi\) |
−0.324319 | + | 0.945948i | \(0.605135\pi\) | |||||||
\(600\) | −26.3117 | − | 29.4191i | −1.07417 | − | 1.20103i | ||||
\(601\) | 25.7137 | − | 6.88998i | 1.04889 | − | 0.281048i | 0.307094 | − | 0.951679i | \(-0.400643\pi\) |
0.741791 | + | 0.670631i | \(0.233977\pi\) | |||||||
\(602\) | 2.12385 | − | 2.66921i | 0.0865617 | − | 0.108789i | ||||
\(603\) | 3.94951 | + | 9.69252i | 0.160837 | + | 0.394710i | ||||
\(604\) | −1.56701 | + | 0.361267i | −0.0637609 | + | 0.0146997i | ||||
\(605\) | 22.2616 | + | 2.93079i | 0.905061 | + | 0.119154i | ||||
\(606\) | 12.1676 | + | 5.33455i | 0.494273 | + | 0.216701i | ||||
\(607\) | 23.0060 | − | 13.2825i | 0.933785 | − | 0.539121i | 0.0457787 | − | 0.998952i | \(-0.485423\pi\) |
0.888007 | + | 0.459830i | \(0.152090\pi\) | |||||||
\(608\) | −35.0632 | + | 11.0258i | −1.42200 | + | 0.447156i | ||||
\(609\) | 0.524368 | − | 0.399967i | 0.0212485 | − | 0.0162075i | ||||
\(610\) | −13.4286 | − | 0.236458i | −0.543706 | − | 0.00957390i | ||||
\(611\) | 13.7809 | − | 5.70825i | 0.557517 | − | 0.230931i | ||||
\(612\) | 16.6731 | − | 26.3258i | 0.673972 | − | 1.06416i | ||||
\(613\) | 1.77061 | − | 4.27462i | 0.0715141 | − | 0.172650i | −0.884081 | − | 0.467334i | \(-0.845214\pi\) |
0.955595 | + | 0.294684i | \(0.0952144\pi\) | |||||||
\(614\) | −22.0921 | + | 8.69839i | −0.891564 | + | 0.351038i | ||||
\(615\) | 21.2516 | + | 51.7268i | 0.856946 | + | 2.08582i | ||||
\(616\) | 1.58893 | + | 1.35834i | 0.0640198 | + | 0.0547291i | ||||
\(617\) | −8.72036 | + | 32.5448i | −0.351069 | + | 1.31021i | 0.534292 | + | 0.845300i | \(0.320578\pi\) |
−0.885360 | + | 0.464905i | \(0.846088\pi\) | |||||||
\(618\) | 7.67782 | + | 31.1970i | 0.308847 | + | 1.25493i | ||||
\(619\) | 7.52603 | + | 9.80812i | 0.302497 | + | 0.394222i | 0.919725 | − | 0.392562i | \(-0.128411\pi\) |
−0.617229 | + | 0.786784i | \(0.711745\pi\) | |||||||
\(620\) | −11.6816 | − | 16.3876i | −0.469144 | − | 0.658143i | ||||
\(621\) | −26.1868 | − | 7.25984i | −1.05084 | − | 0.291327i | ||||
\(622\) | 42.5063 | + | 12.1955i | 1.70435 | + | 0.488997i | ||||
\(623\) | −2.51230 | − | 1.45048i | −0.100653 | − | 0.0581121i | ||||
\(624\) | −21.3228 | − | 4.41583i | −0.853597 | − | 0.176775i | ||||
\(625\) | −0.324562 | + | 0.187386i | −0.0129825 | + | 0.00749545i | ||||
\(626\) | −28.8101 | + | 7.17846i | −1.15148 | + | 0.286909i | ||||
\(627\) | −24.6205 | − | 0.0709170i | −0.983247 | − | 0.00283215i | ||||
\(628\) | −28.2560 | − | 23.3070i | −1.12754 | − | 0.930052i | ||||
\(629\) | −2.58890 | + | 6.25017i | −0.103226 | + | 0.249211i | ||||
\(630\) | −0.795793 | + | 5.11755i | −0.0317052 | + | 0.203888i | ||||
\(631\) | 13.3996 | + | 13.3996i | 0.533428 | + | 0.533428i | 0.921591 | − | 0.388163i | \(-0.126890\pi\) |
−0.388163 | + | 0.921591i | \(0.626890\pi\) | |||||||
\(632\) | −14.6960 | + | 22.6071i | −0.584575 | + | 0.899261i | ||||
\(633\) | −4.70202 | + | 34.9375i | −0.186889 | + | 1.38864i | ||||
\(634\) | −45.6621 | − | 6.83142i | −1.81348 | − | 0.271310i | ||||
\(635\) | −9.44774 | + | 1.24382i | −0.374922 | + | 0.0493595i | ||||
\(636\) | 43.1897 | − | 4.01980i | 1.71258 | − | 0.159396i | ||||
\(637\) | −2.82488 | + | 21.4571i | −0.111926 | + | 0.850160i | ||||
\(638\) | −3.05006 | + | 1.69006i | −0.120753 | + | 0.0669103i | ||||
\(639\) | 18.8638 | − | 4.93824i | 0.746239 | − | 0.195354i | ||||
\(640\) | −0.312828 | − | 40.8796i | −0.0123656 | − | 1.61591i | ||||
\(641\) | 31.5373 | + | 18.2081i | 1.24565 | + | 0.719175i | 0.970238 | − | 0.242152i | \(-0.0778532\pi\) |
0.275410 | + | 0.961327i | \(0.411187\pi\) | |||||||
\(642\) | 0.821872 | + | 7.41337i | 0.0324367 | + | 0.292583i | ||||
\(643\) | −22.7566 | + | 29.6570i | −0.897434 | + | 1.16956i | 0.0874199 | + | 0.996172i | \(0.472138\pi\) |
−0.984854 | + | 0.173387i | \(0.944529\pi\) | |||||||
\(644\) | −0.124403 | + | 3.53135i | −0.00490216 | + | 0.139155i | ||||
\(645\) | −43.1278 | − | 11.6893i | −1.69816 | − | 0.460266i | ||||
\(646\) | 44.4057 | − | 17.4840i | 1.74712 | − | 0.687899i | ||||
\(647\) | 4.70488 | + | 4.70488i | 0.184968 | + | 0.184968i | 0.793517 | − | 0.608549i | \(-0.208248\pi\) |
−0.608549 | + | 0.793517i | \(0.708248\pi\) | |||||||
\(648\) | −11.2841 | − | 22.8182i | −0.443282 | − | 0.896382i | ||||
\(649\) | 19.0603 | − | 19.0603i | 0.748182 | − | 0.748182i | ||||
\(650\) | 14.2843 | − | 32.8379i | 0.560278 | − | 1.28801i | ||||
\(651\) | −0.426275 | + | 1.57275i | −0.0167070 | + | 0.0616407i | ||||
\(652\) | 5.47112 | + | 14.6469i | 0.214265 | + | 0.573616i | ||||
\(653\) | −36.5054 | − | 28.0116i | −1.42857 | − | 1.09618i | −0.979216 | − | 0.202822i | \(-0.934989\pi\) |
−0.449351 | − | 0.893356i | \(-0.648345\pi\) | |||||||
\(654\) | −6.95858 | + | 8.69387i | −0.272102 | + | 0.339957i | ||||
\(655\) | 2.60688 | − | 4.51524i | 0.101859 | − | 0.176425i | ||||
\(656\) | −11.6569 | + | 33.7868i | −0.455127 | + | 1.31915i | ||||
\(657\) | −10.4855 | − | 40.0540i | −0.409078 | − | 1.56265i | ||||
\(658\) | 0.625324 | − | 2.17950i | 0.0243777 | − | 0.0849659i | ||||
\(659\) | 11.7464 | + | 1.54644i | 0.457574 | + | 0.0602408i | 0.355790 | − | 0.934566i | \(-0.384212\pi\) |
0.101784 | + | 0.994807i | \(0.467545\pi\) | |||||||
\(660\) | 8.08961 | − | 26.1614i | 0.314888 | − | 1.01833i | ||||
\(661\) | 1.89838 | + | 14.4196i | 0.0738385 | + | 0.560859i | 0.987878 | + | 0.155234i | \(0.0496130\pi\) |
−0.914039 | + | 0.405626i | \(0.867054\pi\) | |||||||
\(662\) | 21.9734 | + | 29.7048i | 0.854020 | + | 1.15451i | ||||
\(663\) | 28.0203 | + | 3.77109i | 1.08822 | + | 0.146457i | ||||
\(664\) | 28.0448 | + | 5.21115i | 1.08835 | + | 0.202232i | ||||
\(665\) | −5.60856 | + | 5.60856i | −0.217491 | + | 0.217491i | ||||
\(666\) | 3.26092 | + | 4.46183i | 0.126358 | + | 0.172892i | ||||
\(667\) | −5.44563 | − | 2.25565i | −0.210855 | − | 0.0873392i | ||||
\(668\) | 5.11473 | − | 16.7112i | 0.197895 | − | 0.646576i | ||||
\(669\) | −0.0600760 | + | 20.8568i | −0.00232267 | + | 0.806369i | ||||
\(670\) | −15.2801 | − | 9.18442i | −0.590323 | − | 0.354825i | ||||
\(671\) | −2.87490 | − | 4.97947i | −0.110984 | − | 0.192230i | ||||
\(672\) | −2.54340 | + | 2.11840i | −0.0981136 | + | 0.0817191i | ||||
\(673\) | 5.34192 | − | 9.25247i | 0.205916 | − | 0.356657i | −0.744508 | − | 0.667613i | \(-0.767316\pi\) |
0.950424 | + | 0.310957i | \(0.100649\pi\) | |||||||
\(674\) | 16.6374 | − | 9.21893i | 0.640849 | − | 0.355100i | ||||
\(675\) | 40.5287 | − | 10.4851i | 1.55995 | − | 0.403573i | ||||
\(676\) | 1.40255 | + | 6.08363i | 0.0539442 | + | 0.233986i | ||||
\(677\) | −19.1570 | + | 14.6997i | −0.736262 | + | 0.564954i | −0.907387 | − | 0.420296i | \(-0.861926\pi\) |
0.171125 | + | 0.985249i | \(0.445260\pi\) | |||||||
\(678\) | 14.8223 | − | 24.4998i | 0.569248 | − | 0.940909i | ||||
\(679\) | −3.19522 | − | 0.856158i | −0.122621 | − | 0.0328563i | ||||
\(680\) | 4.14020 | + | 52.9178i | 0.158770 | + | 2.02930i | ||||
\(681\) | 12.9293 | − | 5.31191i | 0.495452 | − | 0.203553i | ||||
\(682\) | 3.43672 | − | 7.90060i | 0.131599 | − | 0.302530i | ||||
\(683\) | −20.4615 | − | 8.47545i | −0.782939 | − | 0.324304i | −0.0448383 | − | 0.998994i | \(-0.514277\pi\) |
−0.738101 | + | 0.674690i | \(0.764277\pi\) | |||||||
\(684\) | 6.66766 | − | 38.4111i | 0.254944 | − | 1.46869i | ||||
\(685\) | −27.5490 | − | 66.5092i | −1.05259 | − | 2.54118i | ||||
\(686\) | 4.60776 | + | 4.77295i | 0.175925 | + | 0.182232i | ||||
\(687\) | −2.67226 | − | 3.50341i | −0.101953 | − | 0.133663i | ||||
\(688\) | −15.7479 | − | 23.8242i | −0.600382 | − | 0.908290i | ||||
\(689\) | 19.6778 | + | 34.0829i | 0.749663 | + | 1.29846i | ||||
\(690\) | 43.1186 | − | 16.8339i | 1.64150 | − | 0.640857i | ||||
\(691\) | 1.90709 | − | 14.4858i | 0.0725490 | − | 0.551064i | −0.916115 | − | 0.400917i | \(-0.868692\pi\) |
0.988664 | − | 0.150148i | \(-0.0479749\pi\) | |||||||
\(692\) | 0.988044 | − | 5.89321i | 0.0375598 | − | 0.224026i | ||||
\(693\) | −2.05329 | + | 0.836674i | −0.0779979 | + | 0.0317826i | ||||
\(694\) | −20.5745 | + | 2.34096i | −0.780996 | + | 0.0888618i | ||||
\(695\) | −9.71537 | − | 36.2582i | −0.368525 | − | 1.37535i | ||||
\(696\) | −1.82572 | − | 5.21093i | −0.0692037 | − | 0.197520i | ||||
\(697\) | 12.0108 | − | 44.8250i | 0.454942 | − | 1.69787i | ||||
\(698\) | 5.45428 | − | 36.4572i | 0.206448 | − | 1.37993i | ||||
\(699\) | −2.79131 | + | 10.2986i | −0.105577 | + | 0.389527i | ||||
\(700\) | −2.55410 | − | 4.80712i | −0.0965358 | − | 0.181692i | ||||
\(701\) | 10.6579 | + | 25.7305i | 0.402544 | + | 0.971828i | 0.987046 | + | 0.160435i | \(0.0512898\pi\) |
−0.584502 | + | 0.811392i | \(0.698710\pi\) | |||||||
\(702\) | 14.5361 | − | 17.9481i | 0.548630 | − | 0.677408i | ||||
\(703\) | 8.46372i | 0.319215i | ||||||||
\(704\) | 14.9309 | − | 9.13076i | 0.562729 | − | 0.344129i | ||||
\(705\) | −29.4596 | + | 3.79213i | −1.10951 | + | 0.142820i | ||||
\(706\) | −20.7986 | − | 12.5014i | −0.782764 | − | 0.470496i | ||||
\(707\) | 1.45369 | + | 1.11546i | 0.0546716 | + | 0.0419510i | ||||
\(708\) | 24.6750 | + | 34.8273i | 0.927343 | + | 1.30889i | ||||
\(709\) | −1.81108 | − | 2.36025i | −0.0680166 | − | 0.0886409i | 0.758106 | − | 0.652131i | \(-0.226125\pi\) |
−0.826123 | + | 0.563490i | \(0.809458\pi\) | |||||||
\(710\) | −20.6806 | + | 25.9909i | −0.776130 | + | 0.975421i | ||||
\(711\) | −14.1568 | − | 24.8499i | −0.530923 | − | 0.931943i | ||||
\(712\) | −18.0567 | + | 16.2433i | −0.676704 | + | 0.608743i | ||||
\(713\) | 14.0674 | − | 3.76936i | 0.526830 | − | 0.141164i | ||||
\(714\) | 3.10060 | − | 2.97609i | 0.116037 | − | 0.111377i | ||||
\(715\) | 24.6327 | − | 3.24295i | 0.921209 | − | 0.121279i | ||||
\(716\) | −4.80150 | − | 12.8542i | −0.179440 | − | 0.480385i | ||||
\(717\) | −26.0010 | − | 15.1117i | −0.971025 | − | 0.564357i | ||||
\(718\) | −11.1705 | − | 11.5710i | −0.416880 | − | 0.431824i | ||||
\(719\) | − | 39.9035i | − | 1.48815i | −0.668096 | − | 0.744075i | \(-0.732890\pi\) | ||
0.668096 | − | 0.744075i | \(-0.267110\pi\) | |||||||
\(720\) | 38.6808 | + | 19.5944i | 1.44155 | + | 0.730240i | ||||
\(721\) | 4.43104i | 0.165021i | ||||||||
\(722\) | 23.6239 | − | 22.8063i | 0.879189 | − | 0.848763i | ||||
\(723\) | −0.0351614 | + | 12.2071i | −0.00130767 | + | 0.453987i | ||||
\(724\) | 28.3673 | + | 12.9382i | 1.05426 | + | 0.480846i | ||||
\(725\) | 9.00263 | − | 1.18522i | 0.334349 | − | 0.0440179i | ||||
\(726\) | −14.7802 | + | 3.63751i | −0.548543 | + | 0.135001i | ||||
\(727\) | 8.94781 | − | 2.39756i | 0.331856 | − | 0.0889205i | −0.0890438 | − | 0.996028i | \(-0.528381\pi\) |
0.420900 | + | 0.907107i | \(0.361714\pi\) | |||||||
\(728\) | −2.71007 | − | 1.29417i | −0.100442 | − | 0.0479651i | ||||
\(729\) | 26.9960 | + | 0.466602i | 0.999851 | + | 0.0172815i | ||||
\(730\) | 55.1872 | + | 43.9117i | 2.04257 | + | 1.62525i | ||||
\(731\) | 22.5731 | + | 29.4178i | 0.834895 | + | 1.08806i | ||||
\(732\) | 8.53809 | − | 3.16128i | 0.315577 | − | 0.116844i | ||||
\(733\) | −26.8283 | − | 20.5861i | −0.990927 | − | 0.760365i | −0.0200149 | − | 0.999800i | \(-0.506371\pi\) |
−0.970913 | + | 0.239434i | \(0.923038\pi\) | |||||||
\(734\) | 0.971746 | − | 1.61669i | 0.0358678 | − | 0.0596733i | ||||
\(735\) | 16.6066 | − | 39.7675i | 0.612544 | − | 1.46685i | ||||
\(736\) | 27.7920 | + | 10.1396i | 1.02443 | + | 0.373751i | ||||
\(737\) | − | 7.63234i | − | 0.281141i | ||||||
\(738\) | −26.1722 | − | 27.4249i | −0.963414 | − | 1.00952i | ||||
\(739\) | 1.57623 | + | 3.80535i | 0.0579824 | + | 0.139982i | 0.950216 | − | 0.311593i | \(-0.100862\pi\) |
−0.892233 | + | 0.451575i | \(0.850862\pi\) | |||||||
\(740\) | −9.00137 | − | 2.75502i | −0.330897 | − | 0.101276i | ||||
\(741\) | 34.1927 | − | 9.05642i | 1.25610 | − | 0.332696i | ||||
\(742\) | 5.91658 | + | 0.885168i | 0.217205 | + | 0.0324955i | ||||
\(743\) | −2.26118 | + | 8.43884i | −0.0829547 | + | 0.309591i | −0.994919 | − | 0.100678i | \(-0.967899\pi\) |
0.911964 | + | 0.410269i | \(0.134565\pi\) | |||||||
\(744\) | 11.4167 | + | 7.46847i | 0.418558 | + | 0.273807i | ||||
\(745\) | 5.60895 | + | 20.9329i | 0.205496 | + | 0.766922i | ||||
\(746\) | −2.61634 | − | 22.9947i | −0.0957911 | − | 0.841896i | ||||
\(747\) | −18.5561 | + | 23.8965i | −0.678933 | + | 0.874327i | ||||
\(748\) | −18.5039 | + | 13.1902i | −0.676570 | + | 0.482280i | ||||
\(749\) | −0.134274 | + | 1.01991i | −0.00490625 | + | 0.0372667i | ||||
\(750\) | −16.9053 | + | 21.1210i | −0.617293 | + | 0.771229i | ||||
\(751\) | 21.8306 | + | 37.8117i | 0.796610 | + | 1.37977i | 0.921812 | + | 0.387637i | \(0.126709\pi\) |
−0.125202 | + | 0.992131i | \(0.539958\pi\) | |||||||
\(752\) | −15.7316 | − | 10.6252i | −0.573674 | − | 0.387461i | ||||
\(753\) | −21.6876 | + | 2.79170i | −0.790341 | + | 0.101735i | ||||
\(754\) | 3.60420 | − | 3.47946i | 0.131257 | − | 0.126715i | ||||
\(755\) | 1.11184 | + | 2.68422i | 0.0404640 | + | 0.0976886i | ||||
\(756\) | −0.759127 | − | 3.42779i | −0.0276092 | − | 0.124668i | ||||
\(757\) | 16.7337 | + | 6.93133i | 0.608197 | + | 0.251923i | 0.665457 | − | 0.746436i | \(-0.268237\pi\) |
−0.0572605 | + | 0.998359i | \(0.518237\pi\) | |||||||
\(758\) | −3.20988 | − | 1.39628i | −0.116588 | − | 0.0507152i | ||||
\(759\) | 15.6867 | + | 12.1087i | 0.569389 | + | 0.439519i | ||||
\(760\) | 30.1207 | + | 59.1826i | 1.09259 | + | 2.14678i | ||||
\(761\) | 41.9483 | + | 11.2400i | 1.52063 | + | 0.407451i | 0.919948 | − | 0.392040i | \(-0.128231\pi\) |
0.600678 | + | 0.799491i | \(0.294897\pi\) | |||||||
\(762\) | 5.65937 | − | 3.11463i | 0.205017 | − | 0.112831i | ||||
\(763\) | −1.21846 | + | 0.934957i | −0.0441112 | + | 0.0338477i | ||||
\(764\) | −22.1801 | + | 35.4714i | −0.802450 | + | 1.28331i | ||||
\(765\) | −51.8888 | − | 21.8441i | −1.87604 | − | 0.789774i | ||||
\(766\) | −16.3965 | − | 29.5908i | −0.592430 | − | 1.06916i | ||||
\(767\) | −19.3630 | + | 33.5377i | −0.699157 | + | 1.21098i | ||||
\(768\) | 10.2758 | + | 25.7373i | 0.370794 | + | 0.928715i | ||||
\(769\) | 16.2165 | + | 28.0879i | 0.584783 | + | 1.01287i | 0.994902 | + | 0.100842i | \(0.0321537\pi\) |
−0.410119 | + | 0.912032i | \(0.634513\pi\) | |||||||
\(770\) | 1.94565 | − | 3.23698i | 0.0701164 | − | 0.116653i | ||||
\(771\) | −3.04889 | − | 1.77201i | −0.109803 | − | 0.0638173i | ||||
\(772\) | −9.10796 | − | 17.1423i | −0.327803 | − | 0.616964i | ||||
\(773\) | 25.6739 | + | 10.6345i | 0.923428 | + | 0.382496i | 0.793181 | − | 0.608985i | \(-0.208423\pi\) |
0.130246 | + | 0.991482i | \(0.458423\pi\) | |||||||
\(774\) | 30.1159 | − | 3.25097i | 1.08249 | − | 0.116854i | ||||
\(775\) | −15.8645 | + | 15.8645i | −0.569868 | + | 0.569868i | ||||
\(776\) | −15.0945 | + | 23.2201i | −0.541862 | + | 0.833553i | ||||
\(777\) | 0.289652 | + | 0.705019i | 0.0103912 | + | 0.0252924i | ||||
\(778\) | −7.44980 | + | 5.51079i | −0.267088 | + | 0.197571i | ||||
\(779\) | −7.57808 | − | 57.5612i | −0.271513 | − | 2.06234i | ||||
\(780\) | −1.49830 | + | 39.3127i | −0.0536478 | + | 1.40762i | ||||
\(781\) | −14.0979 | − | 1.85603i | −0.504463 | − | 0.0664138i | ||||
\(782\) | −36.9220 | − | 10.5933i | −1.32033 | − | 0.378817i | ||||
\(783\) | 5.79952 | + | 0.814564i | 0.207258 | + | 0.0291101i | ||||
\(784\) | 24.7633 | − | 12.0591i | 0.884404 | − | 0.430681i | ||||
\(785\) | −33.0879 | + | 57.3099i | −1.18096 | + | 2.04548i | ||||
\(786\) | −0.533016 | + | 3.49395i | −0.0190120 | + | 0.124625i | ||||
\(787\) | −22.4017 | − | 17.1894i | −0.798533 | − | 0.612736i | 0.126784 | − | 0.991930i | \(-0.459535\pi\) |
−0.925317 | + | 0.379194i | \(0.876201\pi\) | |||||||
\(788\) | −45.3518 | − | 20.6848i | −1.61559 | − | 0.736866i | ||||
\(789\) | 29.4182 | + | 29.5881i | 1.04731 | + | 1.05337i | ||||
\(790\) | 44.6720 | + | 19.4321i | 1.58936 | + | 0.691363i | ||||
\(791\) | 2.79255 | − | 2.79255i | 0.0992916 | − | 0.0992916i | ||||
\(792\) | 1.34129 | + | 18.5146i | 0.0476607 | + | 0.657889i | ||||
\(793\) | 5.84111 | + | 5.84111i | 0.207424 | + | 0.207424i | ||||
\(794\) | 7.26385 | + | 18.4486i | 0.257784 | + | 0.654718i | ||||
\(795\) | −20.0650 | − | 75.7556i | −0.711630 | − | 2.68677i | ||||
\(796\) | 32.9371 | − | 30.6954i | 1.16742 | − | 1.08797i | ||||
\(797\) | 17.6744 | − | 23.0338i | 0.626060 | − | 0.815898i | −0.367402 | − | 0.930062i | \(-0.619753\pi\) |
0.993462 | + | 0.114165i | \(0.0364192\pi\) | |||||||
\(798\) | 2.15896 | − | 4.92437i | 0.0764265 | − | 0.174321i | ||||
\(799\) | 21.3461 | + | 12.3242i | 0.755170 | + | 0.435997i | ||||
\(800\) | −44.8884 | + | 7.87952i | −1.58704 | + | 0.278583i | ||||
\(801\) | −6.52397 | − | 24.9212i | −0.230513 | − | 0.880546i | ||||
\(802\) | 16.1755 | + | 29.1919i | 0.571176 | + | 1.03080i | ||||
\(803\) | −3.94095 | + | 29.9345i | −0.139073 | + | 1.05637i | ||||
\(804\) | 11.9133 | + | 2.03266i | 0.420149 | + | 0.0716863i | ||||
\(805\) | 6.32941 | − | 0.833282i | 0.223082 | − | 0.0293693i | ||||
\(806\) | −1.83146 | + | 12.2417i | −0.0645104 | + | 0.431196i | ||||
\(807\) | −17.6204 | − | 13.6014i | −0.620266 | − | 0.478791i | ||||
\(808\) | 12.6468 | − | 8.68334i | 0.444913 | − | 0.305479i | ||||
\(809\) | 10.8261 | + | 10.8261i | 0.380624 | + | 0.380624i | 0.871327 | − | 0.490703i | \(-0.163260\pi\) |
−0.490703 | + | 0.871327i | \(0.663260\pi\) | |||||||
\(810\) | −37.2869 | + | 26.9229i | −1.31013 | + | 0.945976i | ||||
\(811\) | 4.06716 | − | 9.81899i | 0.142817 | − | 0.344791i | −0.836244 | − | 0.548358i | \(-0.815253\pi\) |
0.979061 | + | 0.203566i | \(0.0652532\pi\) | |||||||
\(812\) | −0.0727559 | − | 0.758038i | −0.00255323 | − | 0.0266019i | ||||
\(813\) | −14.9329 | − | 26.0375i | −0.523720 | − | 0.913174i | ||||
\(814\) | −0.974355 | − | 3.91048i | −0.0341511 | − | 0.137062i | ||||
\(815\) | 24.4637 | − | 14.1241i | 0.856926 | − | 0.494747i | ||||
\(816\) | −15.6605 | − | 32.3955i | −0.548226 | − | 1.13407i | ||||
\(817\) | 40.1753 | + | 23.1952i | 1.40555 | + | 0.811497i | ||||
\(818\) | 1.67510 | − | 5.83839i | 0.0585686 | − | 0.204135i | ||||
\(819\) | 2.53828 | − | 1.92456i | 0.0886946 | − | 0.0672496i | ||||
\(820\) | 63.6845 | + | 10.6772i | 2.22396 | + | 0.372865i | ||||
\(821\) | 0.842299 | + | 1.09771i | 0.0293964 | + | 0.0383102i | 0.807820 | − | 0.589429i | \(-0.200647\pi\) |
−0.778424 | + | 0.627739i | \(0.783980\pi\) | |||||||
\(822\) | 33.7933 | + | 35.2071i | 1.17868 | + | 1.22799i | ||||
\(823\) | −8.90714 | + | 33.2419i | −0.310483 | + | 1.15874i | 0.617638 | + | 0.786462i | \(0.288090\pi\) |
−0.928122 | + | 0.372277i | \(0.878577\pi\) | |||||||
\(824\) | 35.2771 | + | 11.4802i | 1.22893 | + | 0.399931i | ||||
\(825\) | −30.2550 | − | 4.07184i | −1.05334 | − | 0.141763i | ||||
\(826\) | 2.15665 | + | 5.47745i | 0.0750396 | + | 0.190585i | ||||
\(827\) | −12.7639 | + | 30.8147i | −0.443843 | + | 1.07153i | 0.530746 | + | 0.847531i | \(0.321912\pi\) |
−0.974589 | + | 0.224000i | \(0.928088\pi\) | |||||||
\(828\) | −23.0782 | + | 21.2604i | −0.802022 | + | 0.738851i | ||||
\(829\) | 36.2935 | − | 15.0332i | 1.26052 | − | 0.522126i | 0.350454 | − | 0.936580i | \(-0.386027\pi\) |
0.910070 | + | 0.414454i | \(0.136027\pi\) | |||||||
\(830\) | 0.907328 | − | 51.5276i | 0.0314938 | − | 1.78855i | ||||
\(831\) | −13.8770 | − | 5.79494i | −0.481389 | − | 0.201024i | ||||
\(832\) | −17.3247 | + | 18.2228i | −0.600627 | + | 0.631762i | ||||
\(833\) | −30.9711 | + | 17.8812i | −1.07309 | + | 0.619546i | ||||
\(834\) | 15.0739 | + | 20.5010i | 0.521967 | + | 0.709891i | ||||
\(835\) | −31.3044 | − | 4.12130i | −1.08333 | − | 0.142623i | ||||
\(836\) | −15.0727 | + | 24.1049i | −0.521300 | + | 0.833684i | ||||
\(837\) | −12.5936 | + | 7.12652i | −0.435297 | + | 0.246329i | ||||
\(838\) | −18.3243 | − | 14.5804i | −0.633002 | − | 0.503671i | ||||
\(839\) | 9.37322 | − | 2.51155i | 0.323599 | − | 0.0867082i | −0.0933624 | − | 0.995632i | \(-0.529762\pi\) |
0.416962 | + | 0.908924i | \(0.363095\pi\) | |||||||
\(840\) | 4.53442 | + | 3.89904i | 0.156452 | + | 0.134530i | ||||
\(841\) | −26.7848 | − | 7.17698i | −0.923615 | − | 0.247482i | ||||
\(842\) | 8.05754 | + | 10.8926i | 0.277681 | + | 0.375385i | ||||
\(843\) | 25.3399 | − | 25.1944i | 0.872754 | − | 0.867741i | ||||
\(844\) | 31.4018 | + | 25.9019i | 1.08090 | + | 0.891579i | ||||
\(845\) | 10.4210 | − | 4.31650i | 0.358492 | − | 0.148492i | ||||
\(846\) | 17.6681 | − | 9.65742i | 0.607441 | − | 0.332029i | ||||
\(847\) | −2.09929 | −0.0721325 | ||||||||
\(848\) | 22.3761 | − | 44.8106i | 0.768399 | − | 1.53880i | ||||
\(849\) | 10.9326 | − | 8.33893i | 0.375205 | − | 0.286191i | ||||
\(850\) | 57.4185 | − | 14.3067i | 1.96944 | − | 0.490715i | ||||
\(851\) | 4.14702 | − | 5.40451i | 0.142158 | − | 0.185264i | ||||
\(852\) | 6.65164 | − | 21.5111i | 0.227882 | − | 0.736958i | ||||
\(853\) | −21.7272 | + | 16.6718i | −0.743924 | + | 0.570833i | −0.909668 | − | 0.415336i | \(-0.863664\pi\) |
0.165744 | + | 0.986169i | \(0.446997\pi\) | |||||||
\(854\) | 1.24764 | − | 0.141957i | 0.0426934 | − | 0.00485766i | ||||
\(855\) | −70.4337 | − | 0.405759i | −2.40878 | − | 0.0138767i | ||||
\(856\) | 7.77196 | + | 3.71143i | 0.265640 | + | 0.126854i | ||||
\(857\) | −3.34654 | − | 12.4894i | −0.114316 | − | 0.426631i | 0.884919 | − | 0.465745i | \(-0.154213\pi\) |
−0.999235 | + | 0.0391130i | \(0.987547\pi\) | |||||||
\(858\) | −14.7554 | + | 8.12063i | −0.503741 | + | 0.277234i | ||||
\(859\) | −4.39191 | − | 33.3598i | −0.149850 | − | 1.13822i | −0.886759 | − | 0.462232i | \(-0.847049\pi\) |
0.736909 | − | 0.675992i | \(-0.236284\pi\) | |||||||
\(860\) | −37.7461 | + | 35.1771i | −1.28713 | + | 1.19953i | ||||
\(861\) | −2.60115 | − | 4.53545i | −0.0886470 | − | 0.154568i | ||||
\(862\) | 0.713349 | − | 40.5114i | 0.0242968 | − | 1.37982i | ||||
\(863\) | −17.8151 | −0.606432 | −0.303216 | − | 0.952922i | \(-0.598060\pi\) | ||||
−0.303216 | + | 0.952922i | \(0.598060\pi\) | |||||||
\(864\) | −29.2566 | − | 2.83723i | −0.995331 | − | 0.0965245i | ||||
\(865\) | −10.7958 | −0.367069 | ||||||||
\(866\) | −0.0558848 | + | 3.17372i | −0.00189904 | + | 0.107848i | ||||
\(867\) | 8.59404 | + | 14.9848i | 0.291869 | + | 0.508912i | ||||
\(868\) | 1.28281 | + | 1.37649i | 0.0435413 | + | 0.0467211i | ||||
\(869\) | 2.72220 | + | 20.6772i | 0.0923444 | + | 0.701426i | ||||
\(870\) | −8.73955 | + | 4.80981i | −0.296298 | + | 0.163068i | ||||
\(871\) | 2.83800 | + | 10.5915i | 0.0961618 | + | 0.358881i | ||||
\(872\) | 4.28667 | + | 12.1229i | 0.145165 | + | 0.410533i | ||||
\(873\) | −14.5407 | − | 25.5238i | −0.492130 | − | 0.863848i | ||||
\(874\) | −47.7479 | + | 5.43277i | −1.61510 | + | 0.183766i | ||||
\(875\) | −2.96014 | + | 2.27139i | −0.100071 | + | 0.0767871i | ||||
\(876\) | −45.6751 | − | 14.1236i | −1.54322 | − | 0.477193i | ||||
\(877\) | 14.8841 | − | 19.3973i | 0.502599 | − | 0.655000i | −0.471302 | − | 0.881972i | \(-0.656216\pi\) |
0.973901 | + | 0.226972i | \(0.0728825\pi\) | |||||||
\(878\) | −20.0721 | + | 5.00127i | −0.677401 | + | 0.168785i | ||||
\(879\) | 8.50597 | − | 6.48802i | 0.286899 | − | 0.218835i | ||||
\(880\) | −20.7298 | − | 23.8765i | −0.698802 | − | 0.804877i | ||||
\(881\) | −17.0010 | −0.572778 | −0.286389 | − | 0.958113i | \(-0.592455\pi\) | ||||
−0.286389 | + | 0.958113i | \(0.592455\pi\) | |||||||
\(882\) | −0.682605 | + | 29.2063i | −0.0229845 | + | 0.983427i | ||||
\(883\) | −5.46596 | + | 2.26408i | −0.183944 | + | 0.0761922i | −0.472755 | − | 0.881194i | \(-0.656740\pi\) |
0.288810 | + | 0.957386i | \(0.406740\pi\) | |||||||
\(884\) | 20.7736 | − | 25.1847i | 0.698693 | − | 0.847053i | ||||
\(885\) | 54.6848 | − | 54.3707i | 1.83821 | − | 1.82765i | ||||
\(886\) | 16.0216 | + | 21.6590i | 0.538258 | + | 0.727647i | ||||
\(887\) | −11.2892 | − | 3.02494i | −0.379055 | − | 0.101568i | 0.0642603 | − | 0.997933i | \(-0.479531\pi\) |
−0.443316 | + | 0.896366i | \(0.646198\pi\) | |||||||
\(888\) | 6.36335 | − | 0.479421i | 0.213540 | − | 0.0160883i | ||||
\(889\) | 0.860576 | − | 0.230591i | 0.0288628 | − | 0.00773376i | ||||
\(890\) | 34.3369 | + | 27.3214i | 1.15098 | + | 0.915816i | ||||
\(891\) | −18.1024 | − | 7.74380i | −0.606454 | − | 0.259427i | ||||
\(892\) | 20.4200 | + | 12.7685i | 0.683712 | + | 0.427522i | ||||
\(893\) | 30.5732 | + | 4.02504i | 1.02309 | + | 0.134693i | ||||
\(894\) | −8.70258 | − | 11.8358i | −0.291058 | − | 0.395848i | ||||
\(895\) | −21.4696 | + | 12.3955i | −0.717648 | + | 0.414334i | ||||
\(896\) | 0.527870 | + | 3.78550i | 0.0176349 | + | 0.126465i | ||||
\(897\) | −26.2712 | − | 10.9706i | −0.877169 | − | 0.366299i | ||||
\(898\) | −0.166559 | + | 9.45894i | −0.00555813 | + | 0.315649i | ||||
\(899\) | −2.89974 | + | 1.20111i | −0.0967116 | + | 0.0400593i | ||||
\(900\) | 14.4133 | − | 46.1405i | 0.480442 | − | 1.53802i | ||||
\(901\) | −24.8868 | + | 60.0822i | −0.829101 | + | 2.00163i | ||||
\(902\) | 10.1278 | + | 25.7225i | 0.337219 | + | 0.856466i | ||||
\(903\) | 4.14036 | + | 0.557226i | 0.137783 | + | 0.0185433i | ||||
\(904\) | −14.9974 | − | 29.4675i | −0.498805 | − | 0.980075i | ||||
\(905\) | 14.5793 | − | 54.4106i | 0.484632 | − | 1.80867i | ||||
\(906\) | −1.36385 | − | 1.42091i | −0.0453109 | − | 0.0472065i | ||||
\(907\) | −7.27946 | − | 9.48678i | −0.241711 | − | 0.315003i | 0.656707 | − | 0.754146i | \(-0.271949\pi\) |
−0.898417 | + | 0.439143i | \(0.855282\pi\) | |||||||
\(908\) | 2.66881 | − | 15.9182i | 0.0885677 | − | 0.528263i | ||||
\(909\) | 2.03088 | + | 16.1442i | 0.0673601 | + | 0.535470i | ||||
\(910\) | −1.49638 | + | 5.21549i | −0.0496046 | + | 0.172892i | ||||
\(911\) | −28.7369 | − | 16.5912i | −0.952095 | − | 0.549692i | −0.0583639 | − | 0.998295i | \(-0.518588\pi\) |
−0.893731 | + | 0.448603i | \(0.851922\pi\) | |||||||
\(912\) | −33.6110 | − | 29.9466i | −1.11297 | − | 0.991629i | ||||
\(913\) | 19.1071 | − | 11.0315i | 0.632351 | − | 0.365088i | ||||
\(914\) | 5.49734 | + | 22.0630i | 0.181836 | + | 0.729781i | ||||
\(915\) | −8.18349 | − | 14.2690i | −0.270538 | − | 0.471718i | ||||
\(916\) | −5.06460 | + | 0.486097i | −0.167339 | + | 0.0160611i | ||||
\(917\) | −0.186542 | + | 0.450351i | −0.00616015 | + | 0.0148719i | ||||
\(918\) | 38.1518 | + | 1.00164i | 1.25920 | + | 0.0330589i | ||||
\(919\) | −13.1527 | − | 13.1527i | −0.433868 | − | 0.433868i | 0.456074 | − | 0.889942i | \(-0.349255\pi\) |
−0.889942 | + | 0.456074i | \(0.849255\pi\) | |||||||
\(920\) | 9.76450 | − | 52.5495i | 0.321926 | − | 1.73251i | ||||
\(921\) | −23.0188 | − | 17.7685i | −0.758494 | − | 0.585492i | ||||
\(922\) | −0.0728928 | + | 0.487225i | −0.00240060 | + | 0.0160459i | ||||
\(923\) | 20.2541 | − | 2.66650i | 0.666671 | − | 0.0877690i | ||||
\(924\) | −0.430603 | + | 2.52374i | −0.0141658 | + | 0.0830250i | ||||
\(925\) | −1.36980 | + | 10.4046i | −0.0450386 | + | 0.342102i | ||||
\(926\) | 26.0376 | + | 46.9900i | 0.855648 | + | 1.54419i | ||||
\(927\) | −27.9834 | + | 27.6628i | −0.919094 | + | 0.908565i | ||||
\(928\) | −6.22350 | − | 1.38473i | −0.204296 | − | 0.0454559i | ||||
\(929\) | −5.07912 | − | 2.93243i | −0.166641 | − | 0.0962099i | 0.414360 | − | 0.910113i | \(-0.364005\pi\) |
−0.581001 | + | 0.813903i | \(0.697339\pi\) | |||||||
\(930\) | 9.89688 | − | 22.5737i | 0.324532 | − | 0.740222i | ||||
\(931\) | −27.2369 | + | 35.4959i | −0.892655 | + | 1.16333i | ||||
\(932\) | 8.40001 | + | 9.01345i | 0.275151 | + | 0.295245i | ||||
\(933\) | 13.8668 | + | 52.3544i | 0.453979 | + | 1.71401i | ||||
\(934\) | −5.30054 | − | 13.4623i | −0.173439 | − | 0.440499i | ||||
\(935\) | 29.0303 | + | 29.0303i | 0.949393 | + | 0.949393i | ||||
\(936\) | −8.74578 | − | 25.1944i | −0.285865 | − | 0.823503i | ||||
\(937\) | 36.0996 | − | 36.0996i | 1.17932 | − | 1.17932i | 0.199407 | − | 0.979917i | \(-0.436099\pi\) |
0.979917 | − | 0.199407i | \(-0.0639014\pi\) | |||||||
\(938\) | 1.52847 | + | 0.664875i | 0.0499062 | + | 0.0217089i | ||||
\(939\) | −25.6389 | − | 25.7870i | −0.836694 | − | 0.841528i | ||||
\(940\) | −14.2326 | + | 31.2052i | −0.464215 | + | 1.01780i | ||||
\(941\) | 29.7125 | + | 22.7992i | 0.968599 | + | 0.743233i | 0.966474 | − | 0.256765i | \(-0.0826567\pi\) |
0.00212567 | + | 0.999998i | \(0.499323\pi\) | |||||||
\(942\) | 6.76533 | − | 44.3471i | 0.220426 | − | 1.44491i | ||||
\(943\) | −23.3647 | + | 40.4688i | −0.760858 | + | 1.31784i | ||||
\(944\) | 49.1954 | − | 2.97861i | 1.60118 | − | 0.0969454i | ||||
\(945\) | −5.88094 | + | 2.37664i | −0.191307 | + | 0.0773121i | ||||
\(946\) | −21.2324 | − | 6.09181i | −0.690324 | − | 0.198062i | ||||
\(947\) | 9.73383 | + | 1.28148i | 0.316307 | + | 0.0416426i | 0.287008 | − | 0.957928i | \(-0.407339\pi\) |
0.0292986 | + | 0.999571i | \(0.490673\pi\) | |||||||
\(948\) | −32.9999 | − | 1.25771i | −1.07179 | − | 0.0408484i | ||||
\(949\) | −5.66186 | − | 43.0061i | −0.183792 | − | 1.39604i | ||||
\(950\) | 59.5175 | − | 44.0265i | 1.93100 | − | 1.42841i | ||||
\(951\) | −21.4890 | − | 52.3046i | −0.696828 | − | 1.69609i | ||||
\(952\) | −1.02955 | − | 4.85466i | −0.0333681 | − | 0.157341i | ||||
\(953\) | 10.0260 | − | 10.0260i | 0.324773 | − | 0.324773i | −0.525822 | − | 0.850595i | \(-0.676242\pi\) |
0.850595 | + | 0.525822i | \(0.176242\pi\) | |||||||
\(954\) | 31.3468 | + | 42.8910i | 1.01489 | + | 1.38865i | ||||
\(955\) | 69.8298 | + | 28.9245i | 2.25964 | + | 0.935974i | ||||
\(956\) | −30.6661 | + | 16.2934i | −0.991814 | + | 0.526966i | ||||
\(957\) | −3.69236 | − | 2.14599i | −0.119357 | − | 0.0693700i | ||||
\(958\) | 4.99494 | − | 8.31009i | 0.161379 | − | 0.268487i | ||||
\(959\) | 3.36529 | + | 5.82885i | 0.108671 | + | 0.188223i | ||||
\(960\) | 42.7896 | − | 25.9983i | 1.38103 | − | 0.839090i | ||||
\(961\) | −11.6225 | + | 20.1308i | −0.374919 | + | 0.649379i | ||||
\(962\) | 2.80620 | + | 5.06435i | 0.0904754 | + | 0.163281i | ||||
\(963\) | −7.27929 | + | 5.51926i | −0.234572 | + | 0.177856i | ||||
\(964\) | 11.9514 | + | 7.47319i | 0.384930 | + | 0.240695i | ||||
\(965\) | −27.8236 | + | 21.3498i | −0.895673 | + | 0.687274i | ||||
\(966\) | −3.79143 | + | 2.08661i | −0.121987 | + | 0.0671356i | ||||
\(967\) | 2.14950 | + | 0.575958i | 0.0691234 | + | 0.0185216i | 0.293215 | − | 0.956047i | \(-0.405275\pi\) |
−0.224092 | + | 0.974568i | \(0.571941\pi\) | |||||||
\(968\) | −5.43895 | + | 16.7132i | −0.174815 | + | 0.537182i | ||||
\(969\) | 46.2684 | + | 35.7152i | 1.48635 | + | 1.14734i | ||||
\(970\) | 45.8834 | + | 19.9591i | 1.47323 | + | 0.640846i | ||||
\(971\) | 11.0650 | + | 4.58326i | 0.355092 | + | 0.147084i | 0.553096 | − | 0.833117i | \(-0.313446\pi\) |
−0.198005 | + | 0.980201i | \(0.563446\pi\) | |||||||
\(972\) | 16.9083 | − | 26.1937i | 0.542335 | − | 0.840162i | ||||
\(973\) | 1.34304 | + | 3.24238i | 0.0430558 | + | 0.103946i | ||||
\(974\) | −35.8776 | + | 34.6360i | −1.14959 | + | 1.10981i | ||||
\(975\) | 43.4995 | − | 5.59940i | 1.39310 | − | 0.179324i | ||||
\(976\) | 2.10228 | − | 10.3007i | 0.0672924 | − | 0.329717i | ||||
\(977\) | −8.10950 | − | 14.0461i | −0.259446 | − | 0.449374i | 0.706648 | − | 0.707566i | \(-0.250207\pi\) |
−0.966094 | + | 0.258192i | \(0.916873\pi\) | |||||||
\(978\) | −11.9661 | + | 14.9502i | −0.382635 | + | 0.478054i | ||||
\(979\) | −2.45202 | + | 18.6249i | −0.0783668 | + | 0.595255i | ||||
\(980\) | −28.8848 | − | 40.5214i | −0.922693 | − | 1.29441i | ||||
\(981\) | −13.5113 | − | 1.85804i | −0.431383 | − | 0.0593228i | ||||
\(982\) | 0.0531984 | + | 0.467554i | 0.00169763 | + | 0.0149203i | ||||
\(983\) | 3.89430 | + | 14.5337i | 0.124209 | + | 0.463554i | 0.999810 | − | 0.0194805i | \(-0.00620122\pi\) |
−0.875601 | + | 0.483035i | \(0.839535\pi\) | |||||||
\(984\) | −42.8475 | + | 8.95800i | −1.36593 | + | 0.285571i | ||||
\(985\) | −23.3084 | + | 86.9881i | −0.742667 | + | 2.77167i | ||||
\(986\) | 8.18706 | + | 1.22485i | 0.260729 | + | 0.0390071i | ||||
\(987\) | 2.68446 | − | 0.711019i | 0.0854474 | − | 0.0226320i | ||||
\(988\) | 11.9535 | − | 39.0554i | 0.380293 | − | 1.24252i | ||||
\(989\) | −14.2888 | − | 34.4962i | −0.454358 | − | 1.09692i | ||||
\(990\) | 32.5891 | − | 7.92095i | 1.03575 | − | 0.251744i | ||||
\(991\) | 39.6344i | 1.25903i | 0.776990 | + | 0.629513i | \(0.216746\pi\) | ||||
−0.776990 | + | 0.629513i | \(0.783254\pi\) | |||||||
\(992\) | 14.2823 | − | 6.64659i | 0.453462 | − | 0.211029i | ||||
\(993\) | −17.4378 | + | 41.7580i | −0.553373 | + | 1.32515i | ||||
\(994\) | 1.59980 | − | 2.66159i | 0.0507426 | − | 0.0844206i | ||||
\(995\) | −64.5334 | − | 49.5182i | −2.04585 | − | 1.56983i | ||||
\(996\) | 12.1303 | + | 32.7620i | 0.384365 | + | 1.03811i | ||||
\(997\) | −0.432000 | − | 0.562994i | −0.0136816 | − | 0.0178302i | 0.786462 | − | 0.617638i | \(-0.211910\pi\) |
−0.800144 | + | 0.599808i | \(0.795244\pi\) | |||||||
\(998\) | 10.9383 | + | 8.70344i | 0.346245 | + | 0.275503i | ||||
\(999\) | −2.64412 | + | 6.23064i | −0.0836563 | + | 0.197129i |
(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 | 288.2.bf.a.11.46 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bn.a.683.1 | 368 | |||
9.4 | even | 3 | 864.2.bn.a.395.16 | 368 | |||
9.5 | odd | 6 | inner | 288.2.bf.a.203.31 | yes | 368 | |
32.3 | odd | 8 | inner | 288.2.bf.a.227.31 | yes | 368 | |
96.35 | even | 8 | 864.2.bn.a.35.16 | 368 | |||
288.67 | odd | 24 | 864.2.bn.a.611.1 | 368 | |||
288.131 | even | 24 | inner | 288.2.bf.a.131.46 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.46 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bf.a.131.46 | yes | 368 | 288.131 | even | 24 | inner | |
288.2.bf.a.203.31 | yes | 368 | 9.5 | odd | 6 | inner | |
288.2.bf.a.227.31 | yes | 368 | 32.3 | odd | 8 | inner | |
864.2.bn.a.35.16 | 368 | 96.35 | even | 8 | |||
864.2.bn.a.395.16 | 368 | 9.4 | even | 3 | |||
864.2.bn.a.611.1 | 368 | 288.67 | odd | 24 | |||
864.2.bn.a.683.1 | 368 | 3.2 | odd | 2 |