Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [285,2,Mod(17,285)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(285, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("285.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 285 = 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 285.bi (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.27573645761\) |
Analytic rank: | \(0\) |
Dimension: | \(432\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 263.15 | ||
Character | \(\chi\) | \(=\) | 285.263 |
Dual form | 285.2.bi.a.272.15 |
$q$-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 \(\left(\mathbb{Z}/285\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0599041 | − | 0.684708i | −0.0423586 | − | 0.484161i | −0.987513 | − | 0.157537i | \(-0.949645\pi\) |
0.945154 | − | 0.326624i | \(-0.105911\pi\) | |||||||
\(3\) | 0.225288 | − | 1.71734i | 0.130070 | − | 0.991505i | ||||
\(4\) | 1.50438 | − | 0.265263i | 0.752190 | − | 0.132631i | ||||
\(5\) | 2.08025 | − | 0.820091i | 0.930317 | − | 0.366756i | ||||
\(6\) | −1.18937 | − | 0.0513806i | −0.485558 | − | 0.0209760i | ||||
\(7\) | −4.87970 | − | 1.30751i | −1.84435 | − | 0.494193i | −0.845166 | − | 0.534505i | \(-0.820498\pi\) |
−0.999187 | + | 0.0403117i | \(0.987165\pi\) | |||||||
\(8\) | −0.627531 | − | 2.34198i | −0.221866 | − | 0.828013i | ||||
\(9\) | −2.89849 | − | 0.773790i | −0.966164 | − | 0.257930i | ||||
\(10\) | −0.686138 | − | 1.37524i | −0.216976 | − | 0.434888i | ||||
\(11\) | 3.46619 | + | 2.00120i | 1.04509 | + | 0.603386i | 0.921272 | − | 0.388919i | \(-0.127151\pi\) |
0.123823 | + | 0.992304i | \(0.460485\pi\) | |||||||
\(12\) | −0.116627 | − | 2.64329i | −0.0336674 | − | 0.763051i | ||||
\(13\) | 1.42532 | + | 3.05661i | 0.395313 | + | 0.847751i | 0.998733 | + | 0.0503273i | \(0.0160264\pi\) |
−0.603420 | + | 0.797423i | \(0.706196\pi\) | |||||||
\(14\) | −0.602949 | + | 3.41949i | −0.161145 | + | 0.913898i | ||||
\(15\) | −0.939717 | − | 3.75725i | −0.242634 | − | 0.970118i | ||||
\(16\) | 1.30495 | − | 0.474962i | 0.326237 | − | 0.118741i | ||||
\(17\) | −0.0483389 | − | 0.552516i | −0.0117239 | − | 0.134005i | 0.988077 | − | 0.153961i | \(-0.0492029\pi\) |
−0.999801 | + | 0.0199560i | \(0.993647\pi\) | |||||||
\(18\) | −0.356188 | + | 2.03097i | −0.0839543 | + | 0.478705i | ||||
\(19\) | −2.13845 | + | 3.79829i | −0.490594 | + | 0.871388i | ||||
\(20\) | 2.91195 | − | 1.78554i | 0.651132 | − | 0.399259i | ||||
\(21\) | −3.34477 | + | 8.08552i | −0.729889 | + | 1.76441i | ||||
\(22\) | 1.16260 | − | 2.49320i | 0.247867 | − | 0.531553i | ||||
\(23\) | 1.76543 | + | 1.23617i | 0.368117 | + | 0.257758i | 0.742968 | − | 0.669327i | \(-0.233417\pi\) |
−0.374851 | + | 0.927085i | \(0.622306\pi\) | |||||||
\(24\) | −4.16334 | + | 0.550063i | −0.849837 | + | 0.112281i | ||||
\(25\) | 3.65490 | − | 3.41199i | 0.730980 | − | 0.682399i | ||||
\(26\) | 2.00750 | − | 1.15903i | 0.393703 | − | 0.227305i | ||||
\(27\) | −1.98185 | + | 4.80336i | −0.381408 | + | 0.924407i | ||||
\(28\) | −7.68775 | − | 0.672591i | −1.45285 | − | 0.127108i | ||||
\(29\) | 5.47816 | − | 4.59672i | 1.01727 | − | 0.853589i | 0.0279862 | − | 0.999608i | \(-0.491091\pi\) |
0.989282 | + | 0.146019i | \(0.0466461\pi\) | |||||||
\(30\) | −2.51632 | + | 0.868506i | −0.459416 | + | 0.158567i | ||||
\(31\) | −1.64630 | − | 2.85148i | −0.295685 | − | 0.512141i | 0.679459 | − | 0.733713i | \(-0.262214\pi\) |
−0.975144 | + | 0.221572i | \(0.928881\pi\) | |||||||
\(32\) | −2.45274 | − | 5.25991i | −0.433586 | − | 0.929829i | ||||
\(33\) | 4.21763 | − | 5.50176i | 0.734195 | − | 0.957734i | ||||
\(34\) | −0.375416 | + | 0.0661960i | −0.0643833 | + | 0.0113525i | ||||
\(35\) | −11.2233 | + | 1.28184i | −1.89708 | + | 0.216671i | ||||
\(36\) | −4.56569 | − | 0.395212i | −0.760948 | − | 0.0658686i | ||||
\(37\) | −1.86151 | + | 1.86151i | −0.306030 | + | 0.306030i | −0.843367 | − | 0.537338i | \(-0.819430\pi\) |
0.537338 | + | 0.843367i | \(0.319430\pi\) | |||||||
\(38\) | 2.72882 | + | 1.23668i | 0.442673 | + | 0.200616i | ||||
\(39\) | 5.57033 | − | 1.75914i | 0.891967 | − | 0.281688i | ||||
\(40\) | −3.22606 | − | 4.35727i | −0.510084 | − | 0.688945i | ||||
\(41\) | −0.263249 | − | 0.723270i | −0.0411126 | − | 0.112956i | 0.917438 | − | 0.397880i | \(-0.130254\pi\) |
−0.958550 | + | 0.284924i | \(0.908032\pi\) | |||||||
\(42\) | 5.73658 | + | 1.80584i | 0.885174 | + | 0.278646i | ||||
\(43\) | −2.35388 | + | 1.64820i | −0.358963 | + | 0.251349i | −0.739121 | − | 0.673573i | \(-0.764759\pi\) |
0.380158 | + | 0.924922i | \(0.375870\pi\) | |||||||
\(44\) | 5.74531 | + | 2.09112i | 0.866137 | + | 0.315248i | ||||
\(45\) | −6.66417 | + | 0.767348i | −0.993436 | + | 0.114390i | ||||
\(46\) | 0.740655 | − | 1.28285i | 0.109204 | − | 0.189146i | ||||
\(47\) | 5.25913 | + | 0.460114i | 0.767123 | + | 0.0671146i | 0.463998 | − | 0.885836i | \(-0.346414\pi\) |
0.303125 | + | 0.952951i | \(0.401970\pi\) | |||||||
\(48\) | −0.521681 | − | 2.34804i | −0.0752982 | − | 0.338910i | ||||
\(49\) | 16.0397 | + | 9.26052i | 2.29139 | + | 1.32293i | ||||
\(50\) | −2.55516 | − | 2.29815i | −0.361354 | − | 0.325007i | ||||
\(51\) | −0.959746 | − | 0.0414609i | −0.134391 | − | 0.00580569i | ||||
\(52\) | 2.95503 | + | 4.22022i | 0.409788 | + | 0.585239i | ||||
\(53\) | 3.49222 | + | 2.44528i | 0.479693 | + | 0.335884i | 0.788285 | − | 0.615310i | \(-0.210969\pi\) |
−0.308593 | + | 0.951194i | \(0.599858\pi\) | |||||||
\(54\) | 3.40762 | + | 1.06925i | 0.463718 | + | 0.145506i | ||||
\(55\) | 8.85171 | + | 1.32042i | 1.19356 | + | 0.178046i | ||||
\(56\) | 12.2486i | 1.63679i | ||||||||
\(57\) | 6.04118 | + | 4.52815i | 0.800174 | + | 0.599768i | ||||
\(58\) | −3.47557 | − | 3.47557i | −0.456365 | − | 0.456365i | ||||
\(59\) | −6.38915 | − | 5.36114i | −0.831797 | − | 0.697960i | 0.123906 | − | 0.992294i | \(-0.460458\pi\) |
−0.955703 | + | 0.294334i | \(0.904902\pi\) | |||||||
\(60\) | −2.41035 | − | 5.40306i | −0.311175 | − | 0.697532i | ||||
\(61\) | 2.03981 | + | 11.5684i | 0.261171 | + | 1.48118i | 0.779721 | + | 0.626128i | \(0.215361\pi\) |
−0.518549 | + | 0.855048i | \(0.673528\pi\) | |||||||
\(62\) | −1.85381 | + | 1.29805i | −0.235434 | + | 0.164853i | ||||
\(63\) | 13.1320 | + | 7.56567i | 1.65448 | + | 0.953185i | ||||
\(64\) | −1.04928 | + | 0.605800i | −0.131160 | + | 0.0757250i | ||||
\(65\) | 5.47172 | + | 5.18963i | 0.678684 | + | 0.643694i | ||||
\(66\) | −4.01975 | − | 2.55826i | −0.494797 | − | 0.314901i | ||||
\(67\) | 0.0159785 | − | 0.182635i | 0.00195208 | − | 0.0223124i | −0.995156 | − | 0.0983065i | \(-0.968657\pi\) |
0.997108 | + | 0.0759941i | \(0.0242130\pi\) | |||||||
\(68\) | −0.219282 | − | 0.818371i | −0.0265918 | − | 0.0992421i | ||||
\(69\) | 2.52064 | − | 2.75334i | 0.303449 | − | 0.331463i | ||||
\(70\) | 1.55001 | + | 7.60788i | 0.185261 | + | 0.909316i | ||||
\(71\) | −12.1457 | − | 2.14162i | −1.44143 | − | 0.254163i | −0.602377 | − | 0.798212i | \(-0.705780\pi\) |
−0.839054 | + | 0.544049i | \(0.816891\pi\) | |||||||
\(72\) | 0.00669499 | + | 7.27377i | 0.000789012 | + | 0.857222i | ||||
\(73\) | 1.37357 | + | 0.640506i | 0.160764 | + | 0.0749656i | 0.501335 | − | 0.865253i | \(-0.332842\pi\) |
−0.340571 | + | 0.940219i | \(0.610620\pi\) | |||||||
\(74\) | 1.38610 | + | 1.16308i | 0.161131 | + | 0.135205i | ||||
\(75\) | −5.03614 | − | 7.04538i | −0.581523 | − | 0.813530i | ||||
\(76\) | −2.20950 | + | 6.28133i | −0.253447 | + | 0.720517i | ||||
\(77\) | −14.2974 | − | 14.2974i | −1.62933 | − | 1.62933i | ||||
\(78\) | −1.53818 | − | 3.70867i | −0.174165 | − | 0.419924i | ||||
\(79\) | −1.24435 | − | 3.41883i | −0.140001 | − | 0.384649i | 0.849801 | − | 0.527104i | \(-0.176722\pi\) |
−0.989801 | + | 0.142456i | \(0.954500\pi\) | |||||||
\(80\) | 2.32511 | − | 2.05822i | 0.259955 | − | 0.230116i | ||||
\(81\) | 7.80250 | + | 4.48564i | 0.866944 | + | 0.498405i | ||||
\(82\) | −0.479459 | + | 0.223575i | −0.0529474 | + | 0.0246898i | ||||
\(83\) | 10.4005 | + | 2.78679i | 1.14160 | + | 0.305890i | 0.779593 | − | 0.626286i | \(-0.215426\pi\) |
0.362005 | + | 0.932176i | \(0.382092\pi\) | |||||||
\(84\) | −2.88702 | + | 13.0509i | −0.315000 | + | 1.42397i | ||||
\(85\) | −0.553670 | − | 1.10973i | −0.0600540 | − | 0.120367i | ||||
\(86\) | 1.26954 | + | 1.51298i | 0.136898 | + | 0.163149i | ||||
\(87\) | −6.65995 | − | 10.4434i | −0.714022 | − | 1.11965i | ||||
\(88\) | 2.51163 | − | 9.37354i | 0.267741 | − | 0.999223i | ||||
\(89\) | 5.92934 | + | 2.15810i | 0.628509 | + | 0.228759i | 0.636582 | − | 0.771209i | \(-0.280348\pi\) |
−0.00807328 | + | 0.999967i | \(0.502570\pi\) | |||||||
\(90\) | 0.924621 | + | 4.51704i | 0.0974636 | + | 0.476138i | ||||
\(91\) | −2.95858 | − | 16.7790i | −0.310144 | − | 1.75891i | ||||
\(92\) | 2.98378 | + | 1.39136i | 0.311081 | + | 0.145059i | ||||
\(93\) | −5.26784 | + | 2.18485i | −0.546250 | + | 0.226559i | ||||
\(94\) | − | 3.62853i | − | 0.374254i | ||||||
\(95\) | −1.33357 | + | 9.65513i | −0.136822 | + | 0.990596i | ||||
\(96\) | −9.58560 | + | 3.02718i | −0.978327 | + | 0.308960i | ||||
\(97\) | 4.60483 | − | 0.402870i | 0.467550 | − | 0.0409053i | 0.149053 | − | 0.988829i | \(-0.452378\pi\) |
0.318497 | + | 0.947924i | \(0.396822\pi\) | |||||||
\(98\) | 5.37991 | − | 11.5372i | 0.543452 | − | 1.16544i | ||||
\(99\) | −8.49820 | − | 8.48257i | −0.854101 | − | 0.852530i | ||||
\(100\) | 4.59329 | − | 6.10244i | 0.459329 | − | 0.610244i | ||||
\(101\) | −1.31604 | + | 3.61579i | −0.130951 | + | 0.359785i | −0.987788 | − | 0.155802i | \(-0.950204\pi\) |
0.856837 | + | 0.515587i | \(0.172426\pi\) | |||||||
\(102\) | 0.0291042 | + | 0.659629i | 0.00288174 | + | 0.0653130i | ||||
\(103\) | −5.14680 | + | 1.37908i | −0.507130 | + | 0.135885i | −0.503307 | − | 0.864108i | \(-0.667883\pi\) |
−0.00382276 | + | 0.999993i | \(0.501217\pi\) | |||||||
\(104\) | 6.26407 | − | 5.25618i | 0.614243 | − | 0.515411i | ||||
\(105\) | −0.327112 | + | 19.5629i | −0.0319229 | + | 1.90915i | ||||
\(106\) | 1.46510 | − | 2.53763i | 0.142303 | − | 0.246476i | ||||
\(107\) | −4.10688 | + | 15.3271i | −0.397027 | + | 1.48173i | 0.421273 | + | 0.906934i | \(0.361583\pi\) |
−0.818300 | + | 0.574791i | \(0.805083\pi\) | |||||||
\(108\) | −1.70730 | + | 7.75179i | −0.164285 | + | 0.745916i | ||||
\(109\) | −16.2690 | − | 2.86866i | −1.55828 | − | 0.274767i | −0.672937 | − | 0.739700i | \(-0.734967\pi\) |
−0.885346 | + | 0.464933i | \(0.846079\pi\) | |||||||
\(110\) | 0.373848 | − | 6.13993i | 0.0356450 | − | 0.585420i | ||||
\(111\) | 2.77746 | + | 3.61621i | 0.263625 | + | 0.343235i | ||||
\(112\) | −6.98877 | + | 0.611438i | −0.660377 | + | 0.0577755i | ||||
\(113\) | 2.64766 | − | 2.64766i | 0.249071 | − | 0.249071i | −0.571518 | − | 0.820589i | \(-0.693645\pi\) |
0.820589 | + | 0.571518i | \(0.193645\pi\) | |||||||
\(114\) | 2.73857 | − | 4.40770i | 0.256490 | − | 0.412819i | ||||
\(115\) | 4.68630 | + | 1.12373i | 0.437000 | + | 0.104788i | ||||
\(116\) | 7.02189 | − | 8.36836i | 0.651966 | − | 0.776983i | ||||
\(117\) | −1.76611 | − | 9.96245i | −0.163276 | − | 0.921029i | ||||
\(118\) | −3.28807 | + | 4.69586i | −0.302692 | + | 0.432289i | ||||
\(119\) | −0.486542 | + | 2.75931i | −0.0446012 | + | 0.252946i | ||||
\(120\) | −8.20969 | + | 4.55858i | −0.749439 | + | 0.416140i | ||||
\(121\) | 2.50963 | + | 4.34681i | 0.228149 | + | 0.395165i | ||||
\(122\) | 7.79874 | − | 2.08967i | 0.706065 | − | 0.189190i | ||||
\(123\) | −1.30140 | + | 0.289143i | −0.117344 | + | 0.0260711i | ||||
\(124\) | −3.23305 | − | 3.85300i | −0.290337 | − | 0.346010i | ||||
\(125\) | 4.80497 | − | 10.0952i | 0.429770 | − | 0.902938i | ||||
\(126\) | 4.39361 | − | 9.44481i | 0.391414 | − | 0.841411i | ||||
\(127\) | 4.42475 | − | 2.06330i | 0.392633 | − | 0.183088i | −0.216268 | − | 0.976334i | \(-0.569388\pi\) |
0.608901 | + | 0.793246i | \(0.291611\pi\) | |||||||
\(128\) | −6.18004 | − | 8.82601i | −0.546244 | − | 0.780117i | ||||
\(129\) | 2.30022 | + | 4.41372i | 0.202523 | + | 0.388606i | ||||
\(130\) | 3.22560 | − | 4.05741i | 0.282904 | − | 0.355858i | ||||
\(131\) | −8.98174 | + | 10.7040i | −0.784738 | + | 0.935214i | −0.999137 | − | 0.0415318i | \(-0.986776\pi\) |
0.214399 | + | 0.976746i | \(0.431221\pi\) | |||||||
\(132\) | 4.88550 | − | 9.39552i | 0.425229 | − | 0.817775i | ||||
\(133\) | 15.4013 | − | 15.7385i | 1.33546 | − | 1.36470i | ||||
\(134\) | −0.126008 | −0.0108855 | ||||||||
\(135\) | −0.183560 | + | 11.6175i | −0.0157984 | + | 0.999875i | ||||
\(136\) | −1.26364 | + | 0.459929i | −0.108357 | + | 0.0394386i | ||||
\(137\) | −5.40123 | + | 7.71375i | −0.461458 | + | 0.659030i | −0.980682 | − | 0.195608i | \(-0.937332\pi\) |
0.519224 | + | 0.854638i | \(0.326221\pi\) | |||||||
\(138\) | −2.03623 | − | 1.56097i | −0.173335 | − | 0.132878i | ||||
\(139\) | −5.66228 | + | 15.5570i | −0.480268 | + | 1.31953i | 0.428996 | + | 0.903307i | \(0.358868\pi\) |
−0.909264 | + | 0.416220i | \(0.863355\pi\) | |||||||
\(140\) | −16.5441 | + | 4.90550i | −1.39823 | + | 0.414590i | ||||
\(141\) | 1.97499 | − | 8.92804i | 0.166324 | − | 0.751877i | ||||
\(142\) | −0.738803 | + | 8.44455i | −0.0619989 | + | 0.708651i | ||||
\(143\) | −1.17647 | + | 13.4471i | −0.0983815 | + | 1.12451i | ||||
\(144\) | −4.14990 | + | 0.366918i | −0.345825 | + | 0.0305765i | ||||
\(145\) | 7.62622 | − | 14.0549i | 0.633323 | − | 1.16720i | ||||
\(146\) | 0.356277 | − | 0.978863i | 0.0294857 | − | 0.0810113i | ||||
\(147\) | 19.5170 | − | 25.4593i | 1.60973 | − | 2.09985i | ||||
\(148\) | −2.30662 | + | 3.29420i | −0.189603 | + | 0.270782i | ||||
\(149\) | −6.58271 | + | 2.39591i | −0.539276 | + | 0.196281i | −0.597276 | − | 0.802036i | \(-0.703750\pi\) |
0.0579992 | + | 0.998317i | \(0.481528\pi\) | |||||||
\(150\) | −4.52234 | + | 3.87033i | −0.369247 | + | 0.316011i | ||||
\(151\) | −15.7168 | −1.27902 | −0.639508 | − | 0.768784i | \(-0.720862\pi\) | ||||
−0.639508 | + | 0.768784i | \(0.720862\pi\) | |||||||
\(152\) | 10.2375 | + | 2.62465i | 0.830367 | + | 0.212888i | ||||
\(153\) | −0.287421 | + | 1.63887i | −0.0232366 | + | 0.132495i | ||||
\(154\) | −8.93303 | + | 10.6460i | −0.719844 | + | 0.857877i | ||||
\(155\) | −5.76320 | − | 4.58168i | −0.462911 | − | 0.368009i | ||||
\(156\) | 7.91326 | − | 4.12401i | 0.633568 | − | 0.330185i | ||||
\(157\) | 1.41719 | + | 2.02396i | 0.113104 | + | 0.161529i | 0.871713 | − | 0.490017i | \(-0.163009\pi\) |
−0.758609 | + | 0.651546i | \(0.774121\pi\) | |||||||
\(158\) | −2.26636 | + | 1.05682i | −0.180302 | + | 0.0840761i | ||||
\(159\) | 4.98612 | − | 5.44642i | 0.395425 | − | 0.431929i | ||||
\(160\) | −9.41591 | − | 8.93047i | −0.744393 | − | 0.706016i | ||||
\(161\) | −6.99845 | − | 8.34043i | −0.551555 | − | 0.657318i | ||||
\(162\) | 2.60395 | − | 5.61114i | 0.204586 | − | 0.440853i | ||||
\(163\) | −2.08926 | + | 0.559816i | −0.163644 | + | 0.0438482i | −0.339711 | − | 0.940530i | \(-0.610329\pi\) |
0.176067 | + | 0.984378i | \(0.443662\pi\) | |||||||
\(164\) | −0.587883 | − | 1.01824i | −0.0459059 | − | 0.0795114i | ||||
\(165\) | 4.26179 | − | 14.9039i | 0.331780 | − | 1.16027i | ||||
\(166\) | 1.28511 | − | 7.28821i | 0.0997437 | − | 0.565675i | ||||
\(167\) | 5.44091 | − | 7.77042i | 0.421030 | − | 0.601293i | −0.551470 | − | 0.834194i | \(-0.685933\pi\) |
0.972500 | + | 0.232901i | \(0.0748219\pi\) | |||||||
\(168\) | 21.0350 | + | 2.75947i | 1.62289 | + | 0.212898i | ||||
\(169\) | 1.04492 | − | 1.24529i | 0.0803784 | − | 0.0957913i | ||||
\(170\) | −0.726674 | + | 0.445580i | −0.0557333 | + | 0.0341744i | ||||
\(171\) | 9.13736 | − | 9.35461i | 0.698751 | − | 0.715365i | ||||
\(172\) | −3.10392 | + | 3.10392i | −0.236672 | + | 0.236672i | ||||
\(173\) | −10.2328 | + | 0.895250i | −0.777982 | + | 0.0680646i | −0.469228 | − | 0.883077i | \(-0.655468\pi\) |
−0.308754 | + | 0.951142i | \(0.599912\pi\) | |||||||
\(174\) | −6.75173 | + | 5.18572i | −0.511847 | + | 0.393129i | ||||
\(175\) | −22.2960 | + | 11.8707i | −1.68542 | + | 0.897338i | ||||
\(176\) | 5.47369 | + | 0.965159i | 0.412595 | + | 0.0727516i | ||||
\(177\) | −10.6463 | + | 9.76453i | −0.800223 | + | 0.733947i | ||||
\(178\) | 1.12248 | − | 4.18914i | 0.0841333 | − | 0.313990i | ||||
\(179\) | 6.32960 | − | 10.9632i | 0.473097 | − | 0.819427i | −0.526429 | − | 0.850219i | \(-0.676469\pi\) |
0.999526 | + | 0.0307916i | \(0.00980282\pi\) | |||||||
\(180\) | −9.82189 | + | 2.92214i | −0.732081 | + | 0.217803i | ||||
\(181\) | −2.67659 | + | 2.24592i | −0.198949 | + | 0.166938i | −0.736820 | − | 0.676089i | \(-0.763673\pi\) |
0.537871 | + | 0.843027i | \(0.319229\pi\) | |||||||
\(182\) | −11.3114 | + | 3.03089i | −0.838460 | + | 0.224665i | ||||
\(183\) | 20.3263 | − | 0.896838i | 1.50256 | − | 0.0662962i | ||||
\(184\) | 1.78721 | − | 4.91032i | 0.131755 | − | 0.361993i | ||||
\(185\) | −2.34580 | + | 5.39901i | −0.172467 | + | 0.396943i | ||||
\(186\) | 1.81155 | + | 3.47605i | 0.132829 | + | 0.254876i | ||||
\(187\) | 0.938145 | − | 2.01186i | 0.0686040 | − | 0.147122i | ||||
\(188\) | 8.03378 | − | 0.702865i | 0.585924 | − | 0.0512617i | ||||
\(189\) | 15.9513 | − | 20.8477i | 1.16029 | − | 1.51644i | ||||
\(190\) | 6.69083 | + | 0.334724i | 0.485404 | + | 0.0242834i | ||||
\(191\) | − | 4.67223i | − | 0.338071i | −0.985610 | − | 0.169036i | \(-0.945935\pi\) | ||
0.985610 | − | 0.169036i | \(-0.0540653\pi\) | |||||||
\(192\) | 0.803974 | + | 1.93844i | 0.0580218 | + | 0.139895i | ||||
\(193\) | −18.7818 | − | 8.75810i | −1.35194 | − | 0.630421i | −0.394461 | − | 0.918913i | \(-0.629069\pi\) |
−0.957483 | + | 0.288491i | \(0.906846\pi\) | |||||||
\(194\) | −0.551697 | − | 3.12883i | −0.0396095 | − | 0.224637i | ||||
\(195\) | 10.1450 | − | 8.22763i | 0.726502 | − | 0.589193i | ||||
\(196\) | 26.5863 | + | 9.67661i | 1.89902 | + | 0.691186i | ||||
\(197\) | −1.54828 | + | 5.77824i | −0.110310 | + | 0.411683i | −0.998893 | − | 0.0470325i | \(-0.985024\pi\) |
0.888583 | + | 0.458715i | \(0.151690\pi\) | |||||||
\(198\) | −5.29900 | + | 6.32692i | −0.376584 | + | 0.449635i | ||||
\(199\) | −6.13072 | − | 7.30631i | −0.434595 | − | 0.517930i | 0.503647 | − | 0.863910i | \(-0.331991\pi\) |
−0.938242 | + | 0.345979i | \(0.887547\pi\) | |||||||
\(200\) | −10.2844 | − | 6.41856i | −0.727215 | − | 0.453861i | ||||
\(201\) | −0.310045 | − | 0.0685857i | −0.0218689 | − | 0.00483766i | ||||
\(202\) | 2.55459 | + | 0.684502i | 0.179741 | + | 0.0481614i | ||||
\(203\) | −32.7420 | + | 15.2679i | −2.29804 | + | 1.07159i | ||||
\(204\) | −1.45482 | + | 0.192212i | −0.101858 | + | 0.0134575i | ||||
\(205\) | −1.14077 | − | 1.28870i | −0.0796749 | − | 0.0900065i | ||||
\(206\) | 1.25258 | + | 3.44144i | 0.0872716 | + | 0.239777i | ||||
\(207\) | −4.16054 | − | 4.94908i | −0.289178 | − | 0.343985i | ||||
\(208\) | 3.31174 | + | 3.31174i | 0.229628 | + | 0.229628i | ||||
\(209\) | −15.0134 | + | 8.88612i | −1.03850 | + | 0.614666i | ||||
\(210\) | 13.4145 | − | 0.947925i | 0.925688 | − | 0.0654131i | ||||
\(211\) | 0.632945 | + | 0.531104i | 0.0435738 | + | 0.0365627i | 0.664314 | − | 0.747453i | \(-0.268724\pi\) |
−0.620741 | + | 0.784016i | \(0.713168\pi\) | |||||||
\(212\) | 5.90226 | + | 2.75227i | 0.405369 | + | 0.189027i | ||||
\(213\) | −6.41416 | + | 20.3758i | −0.439491 | + | 1.39613i | ||||
\(214\) | 10.7406 | + | 1.89386i | 0.734212 | + | 0.129461i | ||||
\(215\) | −3.54498 | + | 5.35907i | −0.241766 | + | 0.365486i | ||||
\(216\) | 12.4930 | + | 1.62719i | 0.850043 | + | 0.110717i | ||||
\(217\) | 4.30512 | + | 16.0669i | 0.292250 | + | 1.09069i | ||||
\(218\) | −0.989612 | + | 11.3113i | −0.0670250 | + | 0.766099i | ||||
\(219\) | 1.40941 | − | 2.21459i | 0.0952394 | − | 0.149648i | ||||
\(220\) | 13.6666 | − | 0.361615i | 0.921402 | − | 0.0243801i | ||||
\(221\) | 1.61993 | − | 0.935265i | 0.108968 | − | 0.0629127i | ||||
\(222\) | 2.30966 | − | 2.11837i | 0.155014 | − | 0.142176i | ||||
\(223\) | 0.903036 | − | 0.632313i | 0.0604718 | − | 0.0423428i | −0.542950 | − | 0.839765i | \(-0.682693\pi\) |
0.603421 | + | 0.797422i | \(0.293804\pi\) | |||||||
\(224\) | 5.09122 | + | 28.8737i | 0.340171 | + | 1.92921i | ||||
\(225\) | −13.2339 | + | 7.06150i | −0.882258 | + | 0.470767i | ||||
\(226\) | −1.97148 | − | 1.65427i | −0.131141 | − | 0.110040i | ||||
\(227\) | −1.09174 | − | 1.09174i | −0.0724614 | − | 0.0724614i | 0.669947 | − | 0.742409i | \(-0.266317\pi\) |
−0.742409 | + | 0.669947i | \(0.766317\pi\) | |||||||
\(228\) | 10.2894 | + | 5.20955i | 0.681431 | + | 0.345011i | ||||
\(229\) | − | 2.59500i | − | 0.171483i | −0.996317 | − | 0.0857414i | \(-0.972674\pi\) | ||
0.996317 | − | 0.0857414i | \(-0.0273259\pi\) | |||||||
\(230\) | 0.488694 | − | 3.27606i | 0.0322235 | − | 0.216017i | ||||
\(231\) | −27.7744 | + | 21.3323i | −1.82742 | + | 1.40357i | ||||
\(232\) | −14.2031 | − | 9.94513i | −0.932480 | − | 0.652930i | ||||
\(233\) | −7.67556 | − | 10.9618i | −0.502842 | − | 0.718133i | 0.484840 | − | 0.874603i | \(-0.338878\pi\) |
−0.987683 | + | 0.156469i | \(0.949989\pi\) | |||||||
\(234\) | −6.71557 | + | 1.80606i | −0.439010 | + | 0.118066i | ||||
\(235\) | 11.3177 | − | 3.35581i | 0.738283 | − | 0.218909i | ||||
\(236\) | −11.0338 | − | 6.37038i | −0.718241 | − | 0.414676i | ||||
\(237\) | −6.15162 | + | 1.36675i | −0.399591 | + | 0.0887801i | ||||
\(238\) | 1.91847 | + | 0.167844i | 0.124356 | + | 0.0108797i | ||||
\(239\) | 12.8791 | − | 22.3073i | 0.833080 | − | 1.44294i | −0.0625036 | − | 0.998045i | \(-0.519908\pi\) |
0.895584 | − | 0.444893i | \(-0.146758\pi\) | |||||||
\(240\) | −3.01083 | − | 4.45669i | −0.194348 | − | 0.287678i | ||||
\(241\) | 18.8152 | + | 6.84819i | 1.21200 | + | 0.441130i | 0.867396 | − | 0.497619i | \(-0.165792\pi\) |
0.344600 | + | 0.938750i | \(0.388014\pi\) | |||||||
\(242\) | 2.82596 | − | 1.97876i | 0.181660 | − | 0.127199i | ||||
\(243\) | 9.46117 | − | 12.3890i | 0.606934 | − | 0.794752i | ||||
\(244\) | 6.13730 | + | 16.8621i | 0.392901 | + | 1.07949i | ||||
\(245\) | 40.9611 | + | 6.11022i | 2.61691 | + | 0.390367i | ||||
\(246\) | 0.275938 | + | 0.873761i | 0.0175932 | + | 0.0557090i | ||||
\(247\) | −14.6579 | − | 1.12262i | −0.932658 | − | 0.0714308i | ||||
\(248\) | −5.64499 | + | 5.64499i | −0.358457 | + | 0.358457i | ||||
\(249\) | 7.12895 | − | 17.2332i | 0.451779 | − | 1.09211i | ||||
\(250\) | −7.20007 | − | 2.68526i | −0.455372 | − | 0.169831i | ||||
\(251\) | −0.354537 | + | 0.0625144i | −0.0223782 | + | 0.00394587i | −0.184826 | − | 0.982771i | \(-0.559172\pi\) |
0.162448 | + | 0.986717i | \(0.448061\pi\) | |||||||
\(252\) | 21.7624 | + | 7.89820i | 1.37090 | + | 0.497540i | ||||
\(253\) | 3.64548 | + | 7.81776i | 0.229189 | + | 0.491498i | ||||
\(254\) | −1.67782 | − | 2.90606i | −0.105276 | − | 0.182343i | ||||
\(255\) | −2.03052 | + | 0.700830i | −0.127156 | + | 0.0438877i | ||||
\(256\) | −7.52931 | + | 6.31784i | −0.470582 | + | 0.394865i | ||||
\(257\) | −9.69322 | − | 0.848047i | −0.604646 | − | 0.0528997i | −0.219278 | − | 0.975662i | \(-0.570370\pi\) |
−0.385369 | + | 0.922763i | \(0.625926\pi\) | |||||||
\(258\) | 2.88431 | − | 1.83938i | 0.179570 | − | 0.114515i | ||||
\(259\) | 11.5175 | − | 6.64965i | 0.715664 | − | 0.413189i | ||||
\(260\) | 9.60816 | + | 6.35572i | 0.595873 | + | 0.394165i | ||||
\(261\) | −19.4353 | + | 9.08461i | −1.20301 | + | 0.562323i | ||||
\(262\) | 7.86716 | + | 5.50865i | 0.486035 | + | 0.340325i | ||||
\(263\) | 6.78008 | − | 14.5399i | 0.418078 | − | 0.896571i | −0.578638 | − | 0.815585i | \(-0.696415\pi\) |
0.996715 | − | 0.0809858i | \(-0.0258068\pi\) | |||||||
\(264\) | −15.5317 | − | 6.42506i | −0.955909 | − | 0.395435i | ||||
\(265\) | 9.27004 | + | 2.22286i | 0.569454 | + | 0.136549i | ||||
\(266\) | −11.6989 | − | 9.60259i | −0.717303 | − | 0.588773i | ||||
\(267\) | 5.04200 | − | 9.69648i | 0.308565 | − | 0.593415i | ||||
\(268\) | −0.0244085 | − | 0.278990i | −0.00149099 | − | 0.0170420i | ||||
\(269\) | −6.58057 | + | 2.39513i | −0.401224 | + | 0.146034i | −0.534747 | − | 0.845012i | \(-0.679593\pi\) |
0.133523 | + | 0.991046i | \(0.457371\pi\) | |||||||
\(270\) | 7.96559 | − | 0.570251i | 0.484770 | − | 0.0347044i | ||||
\(271\) | 1.22459 | − | 6.94499i | 0.0743885 | − | 0.421878i | −0.924757 | − | 0.380557i | \(-0.875732\pi\) |
0.999146 | − | 0.0413211i | \(-0.0131567\pi\) | |||||||
\(272\) | −0.325504 | − | 0.698045i | −0.0197366 | − | 0.0423252i | ||||
\(273\) | −29.4816 | + | 1.30079i | −1.78431 | + | 0.0787274i | ||||
\(274\) | 5.60522 | + | 3.23618i | 0.338624 | + | 0.195505i | ||||
\(275\) | 19.4967 | − | 4.51240i | 1.17569 | − | 0.272108i | ||||
\(276\) | 3.06164 | − | 4.81070i | 0.184289 | − | 0.289570i | ||||
\(277\) | −0.750197 | − | 2.79977i | −0.0450750 | − | 0.168222i | 0.939719 | − | 0.341947i | \(-0.111086\pi\) |
−0.984794 | + | 0.173725i | \(0.944420\pi\) | |||||||
\(278\) | 10.9912 | + | 2.94508i | 0.659207 | + | 0.176634i | ||||
\(279\) | 2.56535 | + | 9.53888i | 0.153583 | + | 0.571078i | ||||
\(280\) | 10.0450 | + | 25.4803i | 0.600303 | + | 1.52274i | ||||
\(281\) | 4.14566 | − | 0.730992i | 0.247309 | − | 0.0436073i | −0.0486192 | − | 0.998817i | \(-0.515482\pi\) |
0.295929 | + | 0.955210i | \(0.404371\pi\) | |||||||
\(282\) | −6.23141 | − | 0.817463i | −0.371075 | − | 0.0486792i | ||||
\(283\) | 1.11542 | + | 12.7493i | 0.0663048 | + | 0.757868i | 0.954463 | + | 0.298330i | \(0.0964294\pi\) |
−0.888158 | + | 0.459538i | \(0.848015\pi\) | |||||||
\(284\) | −18.8399 | −1.11794 | ||||||||
\(285\) | 16.2807 | + | 4.46537i | 0.964384 | + | 0.264506i | ||||
\(286\) | 9.27783 | 0.548610 | ||||||||
\(287\) | 0.338891 | + | 3.87354i | 0.0200041 | + | 0.228648i | ||||
\(288\) | 3.03917 | + | 17.1437i | 0.179085 | + | 1.01020i | ||||
\(289\) | 16.4388 | − | 2.89860i | 0.966988 | − | 0.170506i | ||||
\(290\) | −10.0804 | − | 4.37978i | −0.591939 | − | 0.257190i | ||||
\(291\) | 0.345547 | − | 7.99880i | 0.0202563 | − | 0.468898i | ||||
\(292\) | 2.23627 | + | 0.599208i | 0.130868 | + | 0.0350660i | ||||
\(293\) | −3.80961 | − | 14.2177i | −0.222560 | − | 0.830605i | −0.983367 | − | 0.181627i | \(-0.941864\pi\) |
0.760808 | − | 0.648977i | \(-0.224803\pi\) | |||||||
\(294\) | −18.6013 | − | 11.8383i | −1.08485 | − | 0.690424i | ||||
\(295\) | −17.6877 | − | 5.91283i | −1.02982 | − | 0.344258i | ||||
\(296\) | 5.52775 | + | 3.19145i | 0.321294 | + | 0.185499i | ||||
\(297\) | −16.4820 | + | 12.6833i | −0.956381 | + | 0.735957i | ||||
\(298\) | 2.03483 | + | 4.36370i | 0.117874 | + | 0.252783i | ||||
\(299\) | −1.26217 | + | 7.15815i | −0.0729935 | + | 0.413966i | ||||
\(300\) | −9.44514 | − | 9.26302i | −0.545315 | − | 0.534801i | ||||
\(301\) | 13.6413 | − | 4.96501i | 0.786269 | − | 0.286179i | ||||
\(302\) | 0.941502 | + | 10.7614i | 0.0541774 | + | 0.619250i | ||||
\(303\) | 5.91304 | + | 3.07468i | 0.339695 | + | 0.176636i | ||||
\(304\) | −0.986521 | + | 5.97226i | −0.0565808 | + | 0.342532i | ||||
\(305\) | 13.7304 | + | 22.3923i | 0.786202 | + | 1.28218i | ||||
\(306\) | 1.13936 | + | 0.0986246i | 0.0651330 | + | 0.00563799i | ||||
\(307\) | −10.8935 | + | 23.3613i | −0.621727 | + | 1.33330i | 0.303118 | + | 0.952953i | \(0.401972\pi\) |
−0.924845 | + | 0.380344i | \(0.875805\pi\) | |||||||
\(308\) | −25.3012 | − | 17.7161i | −1.44167 | − | 1.00947i | ||||
\(309\) | 1.20884 | + | 9.14949i | 0.0687683 | + | 0.520496i | ||||
\(310\) | −2.79187 | + | 4.22057i | −0.158568 | + | 0.239712i | ||||
\(311\) | 20.7954 | − | 12.0063i | 1.17920 | − | 0.680812i | 0.223371 | − | 0.974733i | \(-0.428294\pi\) |
0.955830 | + | 0.293921i | \(0.0949604\pi\) | |||||||
\(312\) | −7.61541 | − | 11.9417i | −0.431138 | − | 0.676064i | ||||
\(313\) | −18.5132 | − | 1.61970i | −1.04643 | − | 0.0915506i | −0.449047 | − | 0.893508i | \(-0.648237\pi\) |
−0.597381 | + | 0.801957i | \(0.703792\pi\) | |||||||
\(314\) | 1.30092 | − | 1.09160i | 0.0734153 | − | 0.0616028i | ||||
\(315\) | 33.5225 | + | 4.96905i | 1.88878 | + | 0.279974i | ||||
\(316\) | −2.77887 | − | 4.81314i | −0.156324 | − | 0.270760i | ||||
\(317\) | −1.94375 | − | 4.16838i | −0.109172 | − | 0.234119i | 0.844130 | − | 0.536138i | \(-0.180117\pi\) |
−0.953302 | + | 0.302019i | \(0.902340\pi\) | |||||||
\(318\) | −4.02789 | − | 3.08777i | −0.225873 | − | 0.173153i | ||||
\(319\) | 28.1873 | − | 4.97018i | 1.57818 | − | 0.278277i | ||||
\(320\) | −1.68595 | + | 2.12072i | −0.0942474 | + | 0.118552i | ||||
\(321\) | 25.3965 | + | 10.5059i | 1.41750 | + | 0.586382i | ||||
\(322\) | −5.29152 | + | 5.29152i | −0.294885 | + | 0.294885i | ||||
\(323\) | 2.20199 | + | 0.997923i | 0.122522 | + | 0.0555259i | ||||
\(324\) | 12.9278 | + | 4.67840i | 0.718211 | + | 0.259911i | ||||
\(325\) | 15.6385 | + | 6.30842i | 0.867470 | + | 0.349928i | ||||
\(326\) | 0.508466 | + | 1.39700i | 0.0281613 | + | 0.0773726i | ||||
\(327\) | −8.59164 | + | 27.2930i | −0.475119 | + | 1.50931i | ||||
\(328\) | −1.52868 | + | 1.07040i | −0.0844075 | + | 0.0591027i | ||||
\(329\) | −25.0614 | − | 9.12160i | −1.38168 | − | 0.502890i | ||||
\(330\) | −10.4601 | − | 2.02527i | −0.575810 | − | 0.111488i | ||||
\(331\) | 9.54872 | − | 16.5389i | 0.524845 | − | 0.909058i | −0.474736 | − | 0.880128i | \(-0.657457\pi\) |
0.999581 | − | 0.0289303i | \(-0.00921007\pi\) | |||||||
\(332\) | 16.3855 | + | 1.43354i | 0.899269 | + | 0.0786758i | ||||
\(333\) | 6.83597 | − | 3.95514i | 0.374609 | − | 0.216741i | ||||
\(334\) | −5.64640 | − | 3.25995i | −0.308957 | − | 0.178376i | ||||
\(335\) | −0.116538 | − | 0.393030i | −0.00636714 | − | 0.0214735i | ||||
\(336\) | −0.524439 | + | 12.1398i | −0.0286105 | + | 0.662282i | ||||
\(337\) | 10.6443 | + | 15.2017i | 0.579834 | + | 0.828088i | 0.996725 | − | 0.0808681i | \(-0.0257693\pi\) |
−0.416891 | + | 0.908956i | \(0.636880\pi\) | |||||||
\(338\) | −0.915252 | − | 0.640866i | −0.0497831 | − | 0.0348585i | ||||
\(339\) | −3.95044 | − | 5.14341i | −0.214558 | − | 0.279352i | ||||
\(340\) | −1.12730 | − | 1.52259i | −0.0611365 | − | 0.0825739i | ||||
\(341\) | − | 13.1783i | − | 0.713647i | ||||||
\(342\) | −6.95254 | − | 5.69604i | −0.375950 | − | 0.308006i | ||||
\(343\) | −41.1553 | − | 41.1553i | −2.22218 | − | 2.22218i | ||||
\(344\) | 5.33718 | + | 4.47843i | 0.287762 | + | 0.241461i | ||||
\(345\) | 2.98558 | − | 7.79480i | 0.160738 | − | 0.419658i | ||||
\(346\) | 1.22597 | + | 6.95282i | 0.0659085 | + | 0.373786i | ||||
\(347\) | −14.8394 | + | 10.3907i | −0.796623 | + | 0.557801i | −0.899514 | − | 0.436891i | \(-0.856079\pi\) |
0.102891 | + | 0.994693i | \(0.467191\pi\) | |||||||
\(348\) | −12.7893 | − | 13.9442i | −0.685581 | − | 0.747489i | ||||
\(349\) | −28.4655 | + | 16.4346i | −1.52373 | + | 0.879723i | −0.524120 | + | 0.851645i | \(0.675606\pi\) |
−0.999606 | + | 0.0280787i | \(0.991061\pi\) | |||||||
\(350\) | 9.46356 | + | 14.5552i | 0.505849 | + | 0.778006i | ||||
\(351\) | −17.5068 | + | 0.788580i | −0.934442 | + | 0.0420913i | ||||
\(352\) | 2.02451 | − | 23.1402i | 0.107907 | − | 1.23338i | ||||
\(353\) | 9.57783 | + | 35.7450i | 0.509777 | + | 1.90251i | 0.422591 | + | 0.906321i | \(0.361121\pi\) |
0.0871857 | + | 0.996192i | \(0.472213\pi\) | |||||||
\(354\) | 7.32360 | + | 6.70465i | 0.389245 | + | 0.356348i | ||||
\(355\) | −27.0225 | + | 5.50548i | −1.43420 | + | 0.292201i | ||||
\(356\) | 9.49244 | + | 1.67377i | 0.503099 | + | 0.0887098i | ||||
\(357\) | 4.62906 | + | 1.45720i | 0.244996 | + | 0.0771230i | ||||
\(358\) | −7.88575 | − | 3.67719i | −0.416775 | − | 0.194345i | ||||
\(359\) | −5.08071 | − | 4.26322i | −0.268149 | − | 0.225004i | 0.498791 | − | 0.866722i | \(-0.333777\pi\) |
−0.766941 | + | 0.641718i | \(0.778222\pi\) | |||||||
\(360\) | 5.97908 | + | 15.1258i | 0.315125 | + | 0.797199i | ||||
\(361\) | −9.85406 | − | 16.2449i | −0.518635 | − | 0.854996i | ||||
\(362\) | 1.69814 | + | 1.69814i | 0.0892522 | + | 0.0892522i | ||||
\(363\) | 8.03033 | − | 3.33060i | 0.421483 | − | 0.174811i | ||||
\(364\) | −8.90166 | − | 24.4571i | −0.466574 | − | 1.28190i | ||||
\(365\) | 3.38265 | + | 0.205963i | 0.177056 | + | 0.0107806i | ||||
\(366\) | −1.83170 | − | 13.8638i | −0.0957445 | − | 0.724675i | ||||
\(367\) | 3.53969 | − | 1.65058i | 0.184770 | − | 0.0861597i | −0.328032 | − | 0.944667i | \(-0.606385\pi\) |
0.512802 | + | 0.858507i | \(0.328608\pi\) | |||||||
\(368\) | 2.89092 | + | 0.774620i | 0.150700 | + | 0.0403799i | ||||
\(369\) | 0.203365 | + | 2.30009i | 0.0105868 | + | 0.119738i | ||||
\(370\) | 3.83726 | + | 1.28276i | 0.199490 | + | 0.0666877i | ||||
\(371\) | −13.8437 | − | 16.4983i | −0.718731 | − | 0.856550i | ||||
\(372\) | −7.34527 | + | 4.68421i | −0.380835 | + | 0.242865i | ||||
\(373\) | 4.11604 | − | 15.3613i | 0.213121 | − | 0.795377i | −0.773699 | − | 0.633553i | \(-0.781596\pi\) |
0.986820 | − | 0.161824i | \(-0.0517376\pi\) | |||||||
\(374\) | −1.43373 | − | 0.521837i | −0.0741366 | − | 0.0269835i | ||||
\(375\) | −16.2543 | − | 10.5261i | −0.839368 | − | 0.543564i | ||||
\(376\) | −2.22269 | − | 12.6055i | −0.114626 | − | 0.650079i | ||||
\(377\) | 21.8585 | + | 10.1928i | 1.12577 | + | 0.524955i | ||||
\(378\) | −15.2301 | − | 9.67310i | −0.783352 | − | 0.497531i | ||||
\(379\) | 37.2953i | 1.91573i | 0.287214 | + | 0.957866i | \(0.407271\pi\) | ||||
−0.287214 | + | 0.957866i | \(0.592729\pi\) | |||||||
\(380\) | 0.554949 | + | 14.8787i | 0.0284683 | + | 0.763263i | ||||
\(381\) | −2.54653 | − | 8.06363i | −0.130463 | − | 0.413112i | ||||
\(382\) | −3.19911 | + | 0.279886i | −0.163681 | + | 0.0143202i | ||||
\(383\) | 4.93215 | − | 10.5770i | 0.252021 | − | 0.540460i | −0.739073 | − | 0.673625i | \(-0.764736\pi\) |
0.991094 | + | 0.133165i | \(0.0425140\pi\) | |||||||
\(384\) | −16.5495 | + | 8.62482i | −0.844539 | + | 0.440133i | ||||
\(385\) | −41.4672 | − | 18.0170i | −2.11337 | − | 0.918230i | ||||
\(386\) | −4.87163 | + | 13.3847i | −0.247959 | + | 0.681262i | ||||
\(387\) | 8.09806 | − | 2.95590i | 0.411647 | − | 0.150257i | ||||
\(388\) | 6.82055 | − | 1.82756i | 0.346261 | − | 0.0927803i | ||||
\(389\) | 8.69522 | − | 7.29616i | 0.440865 | − | 0.369930i | −0.395168 | − | 0.918609i | \(-0.629314\pi\) |
0.836033 | + | 0.548679i | \(0.184869\pi\) | |||||||
\(390\) | −6.24125 | − | 6.45352i | −0.316038 | − | 0.326787i | ||||
\(391\) | 0.597662 | − | 1.03518i | 0.0302251 | − | 0.0523514i | ||||
\(392\) | 11.6225 | − | 43.3758i | 0.587026 | − | 2.19081i | ||||
\(393\) | 16.3589 | + | 17.8361i | 0.825199 | + | 0.899715i | ||||
\(394\) | 4.04916 | + | 0.713975i | 0.203993 | + | 0.0359696i | ||||
\(395\) | −5.39232 | − | 6.09155i | −0.271317 | − | 0.306499i | ||||
\(396\) | −15.0346 | − | 10.5068i | −0.755519 | − | 0.527984i | ||||
\(397\) | 1.44060 | − | 0.126036i | 0.0723018 | − | 0.00632559i | −0.0509474 | − | 0.998701i | \(-0.516224\pi\) |
0.123249 | + | 0.992376i | \(0.460669\pi\) | |||||||
\(398\) | −4.63543 | + | 4.63543i | −0.232353 | + | 0.232353i | ||||
\(399\) | −23.5585 | − | 29.9949i | −1.17940 | − | 1.50162i | ||||
\(400\) | 3.14889 | − | 6.18841i | 0.157444 | − | 0.309421i | ||||
\(401\) | 15.9979 | − | 19.0655i | 0.798896 | − | 0.952088i | −0.200724 | − | 0.979648i | \(-0.564329\pi\) |
0.999620 | + | 0.0275603i | \(0.00877382\pi\) | |||||||
\(402\) | −0.0283882 | + | 0.216399i | −0.00141587 | + | 0.0107930i | ||||
\(403\) | 6.36935 | − | 9.09637i | 0.317280 | − | 0.453122i | ||||
\(404\) | −1.02069 | + | 5.78862i | −0.0507812 | + | 0.287994i | ||||
\(405\) | 19.9098 | + | 2.93251i | 0.989326 | + | 0.145718i | ||||
\(406\) | 12.4154 | + | 21.5041i | 0.616166 | + | 1.06723i | ||||
\(407\) | −10.1776 | + | 2.72707i | −0.504484 | + | 0.135176i | ||||
\(408\) | 0.505170 | + | 2.27372i | 0.0250096 | + | 0.112566i | ||||
\(409\) | −5.13813 | − | 6.12339i | −0.254064 | − | 0.302782i | 0.623904 | − | 0.781501i | \(-0.285546\pi\) |
−0.877968 | + | 0.478719i | \(0.841101\pi\) | |||||||
\(410\) | −0.814043 | + | 0.858293i | −0.0402027 | + | 0.0423881i | ||||
\(411\) | 12.0303 | + | 11.0135i | 0.593410 | + | 0.543258i | ||||
\(412\) | −7.37693 | + | 3.43992i | −0.363435 | + | 0.169473i | ||||
\(413\) | 24.1674 | + | 34.5146i | 1.18920 | + | 1.69835i | ||||
\(414\) | −3.13944 | + | 3.14522i | −0.154295 | + | 0.154579i | ||||
\(415\) | 23.9210 | − | 2.73208i | 1.17424 | − | 0.134113i | ||||
\(416\) | 12.5815 | − | 14.9941i | 0.616861 | − | 0.735146i | ||||
\(417\) | 25.4409 | + | 13.2288i | 1.24585 | + | 0.647819i | ||||
\(418\) | 6.98376 | + | 9.74749i | 0.341587 | + | 0.476765i | ||||
\(419\) | −14.4305 | −0.704974 | −0.352487 | − | 0.935817i | \(-0.614664\pi\) | ||||
−0.352487 | + | 0.935817i | \(0.614664\pi\) | |||||||
\(420\) | 4.69722 | + | 29.5169i | 0.229201 | + | 1.44028i | ||||
\(421\) | 11.5916 | − | 4.21898i | 0.564938 | − | 0.205621i | −0.0437331 | − | 0.999043i | \(-0.513925\pi\) |
0.608671 | + | 0.793423i | \(0.291703\pi\) | |||||||
\(422\) | 0.325735 | − | 0.465198i | 0.0158565 | − | 0.0226455i | ||||
\(423\) | −14.8875 | − | 5.40310i | −0.723856 | − | 0.262708i | ||||
\(424\) | 3.53530 | − | 9.71317i | 0.171690 | − | 0.471713i | ||||
\(425\) | −2.06185 | − | 1.85446i | −0.100015 | − | 0.0899545i | ||||
\(426\) | 14.3357 | + | 3.17123i | 0.694567 | + | 0.153646i | ||||
\(427\) | 5.17208 | − | 59.1171i | 0.250294 | − | 2.86088i | ||||
\(428\) | −2.11260 | + | 24.1472i | −0.102117 | + | 1.16720i | ||||
\(429\) | 22.8282 | + | 5.04987i | 1.10216 | + | 0.243810i | ||||
\(430\) | 3.88176 | + | 2.10625i | 0.187195 | + | 0.101572i | ||||
\(431\) | −1.10297 | + | 3.03038i | −0.0531282 | + | 0.145969i | −0.963418 | − | 0.268003i | \(-0.913636\pi\) |
0.910290 | + | 0.413971i | \(0.135859\pi\) | |||||||
\(432\) | −0.304799 | + | 7.20944i | −0.0146646 | + | 0.346864i | ||||
\(433\) | −8.92427 | + | 12.7452i | −0.428873 | + | 0.612494i | −0.974188 | − | 0.225737i | \(-0.927521\pi\) |
0.545315 | + | 0.838231i | \(0.316410\pi\) | |||||||
\(434\) | 10.7432 | − | 3.91022i | 0.515692 | − | 0.187697i | ||||
\(435\) | −22.4189 | − | 16.2632i | −1.07491 | − | 0.779760i | ||||
\(436\) | −25.2356 | −1.20857 | ||||||||
\(437\) | −8.47060 | + | 4.06213i | −0.405204 | + | 0.194318i | ||||
\(438\) | −1.60077 | − | 0.832373i | −0.0764879 | − | 0.0397723i | ||||
\(439\) | 1.26958 | − | 1.51302i | 0.0605937 | − | 0.0722127i | −0.734896 | − | 0.678180i | \(-0.762769\pi\) |
0.795490 | + | 0.605967i | \(0.207214\pi\) | |||||||
\(440\) | −2.46233 | − | 21.5591i | −0.117387 | − | 1.02779i | ||||
\(441\) | −39.3252 | − | 39.2529i | −1.87263 | − | 1.86919i | ||||
\(442\) | −0.737423 | − | 1.05315i | −0.0350757 | − | 0.0500932i | ||||
\(443\) | 23.5042 | − | 10.9602i | 1.11672 | − | 0.520734i | 0.225469 | − | 0.974250i | \(-0.427608\pi\) |
0.891248 | + | 0.453516i | \(0.149831\pi\) | |||||||
\(444\) | 5.13760 | + | 4.70339i | 0.243820 | + | 0.223213i | ||||
\(445\) | 14.1044 | − | 0.373198i | 0.668611 | − | 0.0176913i | ||||
\(446\) | −0.487045 | − | 0.580438i | −0.0230622 | − | 0.0274845i | ||||
\(447\) | 2.63158 | + | 11.8445i | 0.124469 | + | 0.560225i | ||||
\(448\) | 5.91225 | − | 1.58418i | 0.279327 | − | 0.0748455i | ||||
\(449\) | −9.16182 | − | 15.8687i | −0.432373 | − | 0.748892i | 0.564704 | − | 0.825293i | \(-0.308990\pi\) |
−0.997077 | + | 0.0764016i | \(0.975657\pi\) | |||||||
\(450\) | 5.62783 | + | 8.63831i | 0.265298 | + | 0.407214i | ||||
\(451\) | 0.534941 | − | 3.03380i | 0.0251894 | − | 0.142856i | ||||
\(452\) | 3.28076 | − | 4.68541i | 0.154314 | − | 0.220383i | ||||
\(453\) | −3.54081 | + | 26.9911i | −0.166362 | + | 1.26815i | ||||
\(454\) | −0.682123 | + | 0.812923i | −0.0320136 | + | 0.0381523i | ||||
\(455\) | −19.9149 | − | 32.4782i | −0.933623 | − | 1.52260i | ||||
\(456\) | 6.81379 | − | 16.9899i | 0.319085 | − | 0.795623i | ||||
\(457\) | −11.5015 | + | 11.5015i | −0.538018 | + | 0.538018i | −0.922947 | − | 0.384928i | \(-0.874226\pi\) |
0.384928 | + | 0.922947i | \(0.374226\pi\) | |||||||
\(458\) | −1.77682 | + | 0.155452i | −0.0830253 | + | 0.00726377i | ||||
\(459\) | 2.74973 | + | 0.862816i | 0.128347 | + | 0.0402728i | ||||
\(460\) | 7.34806 | + | 0.447408i | 0.342605 | + | 0.0208605i | ||||
\(461\) | 28.4705 | + | 5.02013i | 1.32601 | + | 0.233811i | 0.791404 | − | 0.611294i | \(-0.209351\pi\) |
0.534602 | + | 0.845104i | \(0.320462\pi\) | |||||||
\(462\) | 16.2702 | + | 17.7394i | 0.756959 | + | 0.825313i | ||||
\(463\) | −1.39631 | + | 5.21111i | −0.0648921 | + | 0.242181i | −0.990752 | − | 0.135687i | \(-0.956676\pi\) |
0.925860 | + | 0.377868i | \(0.123343\pi\) | |||||||
\(464\) | 4.96544 | − | 8.60039i | 0.230515 | − | 0.399263i | ||||
\(465\) | −9.16666 | + | 8.86515i | −0.425094 | + | 0.411112i | ||||
\(466\) | −7.04585 | + | 5.91217i | −0.326393 | + | 0.273876i | ||||
\(467\) | 0.956157 | − | 0.256202i | 0.0442457 | − | 0.0118556i | −0.236628 | − | 0.971600i | \(-0.576042\pi\) |
0.280874 | + | 0.959745i | \(0.409376\pi\) | |||||||
\(468\) | −5.29956 | − | 14.5188i | −0.244972 | − | 0.671133i | ||||
\(469\) | −0.316767 | + | 0.870310i | −0.0146269 | + | 0.0401872i | ||||
\(470\) | −2.97572 | − | 7.54826i | −0.137260 | − | 0.348175i | ||||
\(471\) | 3.79509 | − | 1.97782i | 0.174869 | − | 0.0911331i | ||||
\(472\) | −8.54626 | + | 18.3275i | −0.393374 | + | 0.843592i | ||||
\(473\) | −11.4574 | + | 1.00239i | −0.526810 | + | 0.0460899i | ||||
\(474\) | 1.30433 | + | 4.13019i | 0.0599100 | + | 0.189706i | ||||
\(475\) | 5.14392 | + | 21.1788i | 0.236019 | + | 0.971748i | ||||
\(476\) | 4.28012i | 0.196179i | ||||||||
\(477\) | −8.23003 | − | 9.78985i | −0.376827 | − | 0.448246i | ||||
\(478\) | −16.0455 | − | 7.48212i | −0.733903 | − | 0.342224i | ||||
\(479\) | −4.85028 | − | 27.5073i | −0.221615 | − | 1.25684i | −0.869051 | − | 0.494722i | \(-0.835270\pi\) |
0.647436 | − | 0.762120i | \(-0.275841\pi\) | |||||||
\(480\) | −17.4579 | + | 14.1584i | −0.796841 | + | 0.646238i | ||||
\(481\) | −8.34314 | − | 3.03665i | −0.380414 | − | 0.138459i | ||||
\(482\) | 3.56189 | − | 13.2932i | 0.162240 | − | 0.605487i | ||||
\(483\) | −15.9000 | + | 10.1397i | −0.723475 | + | 0.461372i | ||||
\(484\) | 4.92849 | + | 5.87355i | 0.224022 | + | 0.266979i | ||||
\(485\) | 9.24882 | − | 4.61445i | 0.419967 | − | 0.209531i | ||||
\(486\) | −9.04958 | − | 5.73598i | −0.410497 | − | 0.260189i | ||||
\(487\) | −12.7187 | − | 3.40797i | −0.576341 | − | 0.154430i | −0.0411376 | − | 0.999153i | \(-0.513098\pi\) |
−0.535203 | + | 0.844724i | \(0.679765\pi\) | |||||||
\(488\) | 25.8128 | − | 12.0367i | 1.16849 | − | 0.544875i | ||||
\(489\) | 0.490708 | + | 3.71409i | 0.0221906 | + | 0.167957i | ||||
\(490\) | 1.72997 | − | 28.4124i | 0.0781522 | − | 1.28354i | ||||
\(491\) | 7.81127 | + | 21.4613i | 0.352518 | + | 0.968535i | 0.981558 | + | 0.191162i | \(0.0612257\pi\) |
−0.629041 | + | 0.777372i | \(0.716552\pi\) | |||||||
\(492\) | −1.88111 | + | 0.780195i | −0.0848069 | + | 0.0351739i | ||||
\(493\) | −2.80457 | − | 2.80457i | −0.126311 | − | 0.126311i | ||||
\(494\) | 0.109399 | + | 10.1036i | 0.00492209 | + | 0.454583i | ||||
\(495\) | −24.6349 | − | 10.6766i | −1.10726 | − | 0.479877i | ||||
\(496\) | −3.50268 | − | 2.93910i | −0.157275 | − | 0.131969i | ||||
\(497\) | 56.4672 | + | 26.3311i | 2.53290 | + | 1.18111i | ||||
\(498\) | −12.2268 | − | 3.84891i | −0.547895 | − | 0.172474i | ||||
\(499\) | −3.28484 | − | 0.579205i | −0.147049 | − | 0.0259288i | 0.0996388 | − | 0.995024i | \(-0.468231\pi\) |
−0.246688 | + | 0.969095i | \(0.579342\pi\) | |||||||
\(500\) | 4.55064 | − | 16.4615i | 0.203511 | − | 0.736182i | ||||
\(501\) | −12.1187 | − | 11.0944i | −0.541422 | − | 0.495663i | ||||
\(502\) | 0.0640423 | + | 0.239009i | 0.00285835 | + | 0.0106675i | ||||
\(503\) | 3.50064 | − | 40.0125i | 0.156086 | − | 1.78407i | −0.365442 | − | 0.930834i | \(-0.619082\pi\) |
0.521528 | − | 0.853234i | \(-0.325362\pi\) | |||||||
\(504\) | 9.47787 | − | 35.5026i | 0.422178 | − | 1.58141i | ||||
\(505\) | 0.227581 | + | 8.60103i | 0.0101272 | + | 0.382741i | ||||
\(506\) | 5.13450 | − | 2.96440i | 0.228256 | − | 0.131784i | ||||
\(507\) | −1.90317 | − | 2.07503i | −0.0845227 | − | 0.0921551i | ||||
\(508\) | 6.10919 | − | 4.27770i | 0.271052 | − | 0.189792i | ||||
\(509\) | 3.43157 | + | 19.4614i | 0.152102 | + | 0.862611i | 0.961388 | + | 0.275197i | \(0.0887430\pi\) |
−0.809286 | + | 0.587414i | \(0.800146\pi\) | |||||||
\(510\) | 0.601500 | + | 1.34833i | 0.0266349 | + | 0.0597049i | ||||
\(511\) | −5.86514 | − | 4.92144i | −0.259459 | − | 0.217712i | ||||
\(512\) | −10.4606 | − | 10.4606i | −0.462299 | − | 0.462299i | ||||
\(513\) | −14.0065 | − | 17.7994i | −0.618401 | − | 0.785863i | ||||
\(514\) | 6.68782i | 0.294987i | ||||||||
\(515\) | −9.57568 | + | 7.08969i | −0.421955 | + | 0.312409i | ||||
\(516\) | 4.63120 | + | 6.02975i | 0.203877 | + | 0.265445i | ||||
\(517\) | 17.3084 | + | 12.1194i | 0.761221 | + | 0.533012i | ||||
\(518\) | −5.24301 | − | 7.48780i | −0.230365 | − | 0.328995i | ||||
\(519\) | −0.767868 | + | 17.7748i | −0.0337057 | + | 0.780226i | ||||
\(520\) | 8.72031 | − | 16.0713i | 0.382411 | − | 0.704773i | ||||
\(521\) | −2.51262 | − | 1.45066i | −0.110080 | − | 0.0635548i | 0.443949 | − | 0.896052i | \(-0.353577\pi\) |
−0.554029 | + | 0.832497i | \(0.686910\pi\) | |||||||
\(522\) | 7.38455 | + | 12.7633i | 0.323213 | + | 0.558633i | ||||
\(523\) | 30.6270 | + | 2.67952i | 1.33923 | + | 0.117167i | 0.734143 | − | 0.678995i | \(-0.237584\pi\) |
0.605083 | + | 0.796162i | \(0.293140\pi\) | |||||||
\(524\) | −10.6726 | + | 18.4854i | −0.466233 | + | 0.807540i | ||||
\(525\) | 15.3629 | + | 40.9641i | 0.670493 | + | 1.78782i | ||||
\(526\) | −10.3618 | − | 3.77137i | −0.451794 | − | 0.164440i | ||||
\(527\) | −1.49591 | + | 1.04745i | −0.0651627 | + | 0.0456274i | ||||
\(528\) | 2.89066 | − | 9.18273i | 0.125800 | − | 0.399627i | ||||
\(529\) | −6.27784 | − | 17.2482i | −0.272949 | − | 0.749922i | ||||
\(530\) | 0.966693 | − | 6.48042i | 0.0419905 | − | 0.281492i | ||||
\(531\) | 14.3705 | + | 20.4831i | 0.623627 | + | 0.888889i | ||||
\(532\) | 18.9946 | − | 27.7620i | 0.823519 | − | 1.20364i | ||||
\(533\) | 1.83554 | − | 1.83554i | 0.0795061 | − | 0.0795061i | ||||
\(534\) | −6.94129 | − | 2.87143i | −0.300379 | − | 0.124259i | ||||
\(535\) | 4.02626 | + | 35.2522i | 0.174070 | + | 1.52409i | ||||
\(536\) | −0.437753 | + | 0.0771876i | −0.0189080 | + | 0.00333400i | ||||
\(537\) | −17.4015 | − | 13.3399i | −0.750931 | − | 0.575660i | ||||
\(538\) | 2.03417 | + | 4.36229i | 0.0876992 | + | 0.188071i | ||||
\(539\) | 37.0644 | + | 64.1974i | 1.59648 | + | 2.76518i | ||||
\(540\) | 2.80555 | + | 17.5258i | 0.120731 | + | 0.754191i | ||||
\(541\) | −16.7928 | + | 14.0909i | −0.721980 | + | 0.605813i | −0.927932 | − | 0.372749i | \(-0.878415\pi\) |
0.205952 | + | 0.978562i | \(0.433971\pi\) | |||||||
\(542\) | −4.82865 | − | 0.422452i | −0.207408 | − | 0.0181459i | ||||
\(543\) | 3.25400 | + | 5.10258i | 0.139643 | + | 0.218973i | ||||
\(544\) | −2.78762 | + | 1.60943i | −0.119518 | + | 0.0690039i | ||||
\(545\) | −36.1961 | + | 7.37449i | −1.55047 | + | 0.315889i | ||||
\(546\) | 2.65673 | + | 20.1084i | 0.113698 | + | 0.860559i | ||||
\(547\) | 34.3890 | + | 24.0794i | 1.47037 | + | 1.02956i | 0.988147 | + | 0.153512i | \(0.0490583\pi\) |
0.482220 | + | 0.876050i | \(0.339831\pi\) | |||||||
\(548\) | −6.07933 | + | 13.0372i | −0.259696 | + | 0.556920i | ||||
\(549\) | 3.03909 | − | 35.1091i | 0.129705 | − | 1.49842i | ||||
\(550\) | −4.25761 | − | 13.0792i | −0.181545 | − | 0.557699i | ||||
\(551\) | 5.74492 | + | 30.6375i | 0.244742 | + | 1.30520i | ||||
\(552\) | −8.03003 | − | 4.17547i | −0.341781 | − | 0.177720i | ||||
\(553\) | 1.60191 | + | 18.3099i | 0.0681200 | + | 0.778615i | ||||
\(554\) | −1.87209 | + | 0.681384i | −0.0795373 | + | 0.0289492i | ||||
\(555\) | 8.74343 | + | 5.24486i | 0.371138 | + | 0.222632i | ||||
\(556\) | −4.39153 | + | 24.9056i | −0.186242 | + | 1.05623i | ||||
\(557\) | −16.9769 | − | 36.4070i | −0.719334 | − | 1.54262i | −0.835564 | − | 0.549394i | \(-0.814859\pi\) |
0.116230 | − | 0.993222i | \(-0.462919\pi\) | |||||||
\(558\) | 6.37767 | − | 2.32793i | 0.269988 | − | 0.0985492i | ||||
\(559\) | −8.39294 | − | 4.84567i | −0.354984 | − | 0.204950i | ||||
\(560\) | −14.0370 | + | 7.00337i | −0.593170 | + | 0.295947i | ||||
\(561\) | −3.24369 | − | 2.06436i | −0.136949 | − | 0.0871573i | ||||
\(562\) | −0.748858 | − | 2.79478i | −0.0315887 | − | 0.117891i | ||||
\(563\) | −34.0646 | − | 9.12759i | −1.43565 | − | 0.384682i | −0.544643 | − | 0.838668i | \(-0.683335\pi\) |
−0.891009 | + | 0.453986i | \(0.850002\pi\) | |||||||
\(564\) | 0.602857 | − | 13.9551i | 0.0253848 | − | 0.587614i | ||||
\(565\) | 3.33648 | − | 7.67912i | 0.140367 | − | 0.323063i | ||||
\(566\) | 8.66273 | − | 1.52747i | 0.364122 | − | 0.0642045i | ||||
\(567\) | −32.2088 | − | 32.0904i | −1.35264 | − | 1.34767i | ||||
\(568\) | 2.60619 | + | 29.7889i | 0.109353 | + | 1.24991i | ||||
\(569\) | −27.0524 | −1.13410 | −0.567048 | − | 0.823685i | \(-0.691915\pi\) | ||||
−0.567048 | + | 0.823685i | \(0.691915\pi\) | |||||||
\(570\) | 2.08219 | − | 11.4150i | 0.0872135 | − | 0.478122i | ||||
\(571\) | 24.1342 | 1.00998 | 0.504992 | − | 0.863124i | \(-0.331496\pi\) | ||||
0.504992 | + | 0.863124i | \(0.331496\pi\) | |||||||
\(572\) | 1.79716 | + | 20.5417i | 0.0751432 | + | 0.858890i | ||||
\(573\) | −8.02380 | − | 1.05260i | −0.335199 | − | 0.0439729i | ||||
\(574\) | 2.63194 | − | 0.464082i | 0.109855 | − | 0.0193704i | ||||
\(575\) | 10.6702 | − | 1.50556i | 0.444980 | − | 0.0627862i | ||||
\(576\) | 3.51008 | − | 0.943987i | 0.146253 | − | 0.0393328i | ||||
\(577\) | −23.9490 | − | 6.41712i | −0.997011 | − | 0.267148i | −0.276818 | − | 0.960922i | \(-0.589280\pi\) |
−0.720193 | + | 0.693774i | \(0.755947\pi\) | |||||||
\(578\) | −2.96945 | − | 11.0821i | −0.123513 | − | 0.460956i | ||||
\(579\) | −19.2719 | + | 30.2816i | −0.800913 | + | 1.25846i | ||||
\(580\) | 7.74448 | − | 23.1669i | 0.321572 | − | 0.961953i | ||||
\(581\) | −47.1073 | − | 27.1974i | −1.95434 | − | 1.12834i | ||||
\(582\) | −5.49754 | + | 0.242563i | −0.227880 | + | 0.0100546i | ||||
\(583\) | 7.21118 | + | 15.4644i | 0.298656 | + | 0.640471i | ||||
\(584\) | 0.638093 | − | 3.61881i | 0.0264045 | − | 0.149747i | ||||
\(585\) | −11.8441 | − | 19.2760i | −0.489692 | − | 0.796966i | ||||
\(586\) | −9.50673 | + | 3.46017i | −0.392719 | + | 0.142938i | ||||
\(587\) | 3.17276 | + | 36.2648i | 0.130954 | + | 1.49681i | 0.722968 | + | 0.690881i | \(0.242777\pi\) |
−0.592014 | + | 0.805928i | \(0.701667\pi\) | |||||||
\(588\) | 22.6076 | − | 43.4775i | 0.932320 | − | 1.79298i | ||||
\(589\) | 14.3513 | − | 0.155392i | 0.591334 | − | 0.00640280i | ||||
\(590\) | −2.98899 | + | 12.4651i | −0.123055 | + | 0.513179i | ||||
\(591\) | 9.57438 | + | 3.96068i | 0.393837 | + | 0.162921i | ||||
\(592\) | −1.54502 | + | 3.31331i | −0.0635001 | + | 0.136176i | ||||
\(593\) | 31.5369 | + | 22.0824i | 1.29507 | + | 0.906815i | 0.998833 | − | 0.0483005i | \(-0.0153805\pi\) |
0.296233 | + | 0.955116i | \(0.404269\pi\) | |||||||
\(594\) | 9.67166 | + | 10.5255i | 0.396833 | + | 0.431869i | ||||
\(595\) | 1.25076 | + | 6.13908i | 0.0512761 | + | 0.251678i | ||||
\(596\) | −9.26734 | + | 5.35050i | −0.379605 | + | 0.219165i | ||||
\(597\) | −13.9286 | + | 8.88249i | −0.570058 | + | 0.363536i | ||||
\(598\) | 4.97685 | + | 0.435418i | 0.203518 | + | 0.0178056i | ||||
\(599\) | −8.37946 | + | 7.03120i | −0.342375 | + | 0.287287i | −0.797720 | − | 0.603028i | \(-0.793961\pi\) |
0.455344 | + | 0.890315i | \(0.349516\pi\) | |||||||
\(600\) | −13.3398 | + | 16.2157i | −0.544594 | + | 0.662003i | ||||
\(601\) | 2.60194 | + | 4.50669i | 0.106135 | + | 0.183832i | 0.914201 | − | 0.405260i | \(-0.132819\pi\) |
−0.808066 | + | 0.589092i | \(0.799486\pi\) | |||||||
\(602\) | −4.21675 | − | 9.04285i | −0.171862 | − | 0.368559i | ||||
\(603\) | −0.187634 | + | 0.517001i | −0.00764105 | + | 0.0210539i | ||||
\(604\) | −23.6441 | + | 4.16909i | −0.962063 | + | 0.169638i | ||||
\(605\) | 8.78546 | + | 6.98434i | 0.357180 | + | 0.283954i | ||||
\(606\) | 1.75104 | − | 4.23289i | 0.0711311 | − | 0.171949i | ||||
\(607\) | 27.7091 | − | 27.7091i | 1.12468 | − | 1.12468i | 0.133647 | − | 0.991029i | \(-0.457331\pi\) |
0.991029 | − | 0.133647i | \(-0.0426687\pi\) | |||||||
\(608\) | 25.2237 | + | 1.93184i | 1.02296 | + | 0.0783466i | ||||
\(609\) | 18.8437 | + | 59.6687i | 0.763584 | + | 2.41790i | ||||
\(610\) | 14.5096 | − | 10.7427i | 0.587478 | − | 0.434960i | ||||
\(611\) | 6.08956 | + | 16.7309i | 0.246357 | + | 0.676861i | ||||
\(612\) | 0.00233947 | + | 2.54172i | 9.45676e−5 | + | 0.102743i | ||||
\(613\) | 27.6953 | − | 19.3925i | 1.11860 | − | 0.783254i | 0.140233 | − | 0.990119i | \(-0.455215\pi\) |
0.978370 | + | 0.206865i | \(0.0663260\pi\) | |||||||
\(614\) | 16.6482 | + | 6.05945i | 0.671867 | + | 0.244539i | ||||
\(615\) | −2.47013 | + | 1.66876i | −0.0996052 | + | 0.0672909i | ||||
\(616\) | −24.5120 | + | 42.4561i | −0.987618 | + | 1.71060i | ||||
\(617\) | −23.1217 | − | 2.02288i | −0.930843 | − | 0.0814383i | −0.388363 | − | 0.921507i | \(-0.626959\pi\) |
−0.542481 | + | 0.840068i | \(0.682515\pi\) | |||||||
\(618\) | 6.19231 | − | 1.37579i | 0.249091 | − | 0.0553425i | ||||
\(619\) | −2.46070 | − | 1.42069i | −0.0989040 | − | 0.0571023i | 0.449732 | − | 0.893163i | \(-0.351519\pi\) |
−0.548636 | + | 0.836061i | \(0.684853\pi\) | |||||||
\(620\) | −9.88538 | − | 5.36382i | −0.397007 | − | 0.215416i | ||||
\(621\) | −9.43656 | + | 6.03008i | −0.378676 | + | 0.241979i | ||||
\(622\) | −9.46650 | − | 13.5196i | −0.379572 | − | 0.542085i | ||||
\(623\) | −26.1117 | − | 18.2836i | −1.04614 | − | 0.732516i | ||||
\(624\) | 6.43347 | − | 4.94128i | 0.257545 | − | 0.197810i | ||||
\(625\) | 1.71661 | − | 24.9410i | 0.0686646 | − | 0.997640i | ||||
\(626\) | 12.7732i | 0.510518i | ||||||||
\(627\) | 11.8781 | + | 27.7850i | 0.474366 | + | 1.10963i | ||||
\(628\) | 2.66887 | + | 2.66887i | 0.106500 | + | 0.106500i | ||||
\(629\) | 1.11849 | + | 0.938529i | 0.0445973 | + | 0.0374216i | ||||
\(630\) | 1.39421 | − | 23.2508i | 0.0555467 | − | 0.926332i | ||||
\(631\) | 3.67533 | + | 20.8438i | 0.146312 | + | 0.829779i | 0.966304 | + | 0.257403i | \(0.0828669\pi\) |
−0.819992 | + | 0.572376i | \(0.806022\pi\) | |||||||
\(632\) | −7.22595 | + | 5.05967i | −0.287433 | + | 0.201263i | ||||
\(633\) | 1.05468 | − | 0.967329i | 0.0419198 | − | 0.0384479i | ||||
\(634\) | −2.73768 | + | 1.58060i | −0.108727 | + | 0.0627737i | ||||
\(635\) | 7.51252 | − | 7.92088i | 0.298125 | − | 0.314331i | ||||
\(636\) | 6.05628 | − | 9.51611i | 0.240147 | − | 0.377338i | ||||
\(637\) | −5.44409 | + | 62.2263i | −0.215703 | + | 2.46550i | ||||
\(638\) | −5.09165 | − | 19.0023i | −0.201581 | − | 0.752309i | ||||
\(639\) | 33.5471 | + | 15.6057i | 1.32710 | + | 0.617351i | ||||
\(640\) | −20.0942 | − | 13.2921i | −0.794292 | − | 0.525418i | ||||
\(641\) | 26.3862 | + | 4.65261i | 1.04219 | + | 0.183767i | 0.668444 | − | 0.743763i | \(-0.266961\pi\) |
0.373750 | + | 0.927530i | \(0.378072\pi\) | |||||||
\(642\) | 5.67211 | − | 18.0185i | 0.223860 | − | 0.711135i | ||||
\(643\) | 14.1978 | + | 6.62056i | 0.559908 | + | 0.261089i | 0.681904 | − | 0.731441i | \(-0.261152\pi\) |
−0.121997 | + | 0.992530i | \(0.538930\pi\) | |||||||
\(644\) | −12.7407 | − | 10.6907i | −0.502055 | − | 0.421274i | ||||
\(645\) | 8.40469 | + | 7.29526i | 0.330934 | + | 0.287251i | ||||
\(646\) | 0.551377 | − | 1.56750i | 0.0216936 | − | 0.0616724i | ||||
\(647\) | 1.21151 | + | 1.21151i | 0.0476294 | + | 0.0476294i | 0.730520 | − | 0.682891i | \(-0.239278\pi\) |
−0.682891 | + | 0.730520i | \(0.739278\pi\) | |||||||
\(648\) | 5.60896 | − | 21.0881i | 0.220341 | − | 0.828421i | ||||
\(649\) | −11.4173 | − | 31.3687i | −0.448167 | − | 1.23133i | ||||
\(650\) | 3.38261 | − | 11.0857i | 0.132677 | − | 0.434818i | ||||
\(651\) | 28.5622 | − | 3.77366i | 1.11944 | − | 0.147901i | ||||
\(652\) | −2.99455 | + | 1.39638i | −0.117276 | + | 0.0546865i | ||||
\(653\) | −25.7334 | − | 6.89523i | −1.00702 | − | 0.269831i | −0.282638 | − | 0.959227i | \(-0.591210\pi\) |
−0.724385 | + | 0.689395i | \(0.757876\pi\) | |||||||
\(654\) | 19.2024 | + | 4.24780i | 0.750873 | + | 0.166102i | ||||
\(655\) | −9.90601 | + | 29.6329i | −0.387060 | + | 1.15785i | ||||
\(656\) | −0.687052 | − | 0.818797i | −0.0268249 | − | 0.0319686i | ||||
\(657\) | −3.48566 | − | 2.91936i | −0.135989 | − | 0.113895i | ||||
\(658\) | −4.74434 | + | 17.7061i | −0.184954 | + | 0.690257i | ||||
\(659\) | 35.9488 | + | 13.0843i | 1.40036 | + | 0.509691i | 0.928287 | − | 0.371866i | \(-0.121282\pi\) |
0.472078 | + | 0.881557i | \(0.343504\pi\) | |||||||
\(660\) | 2.45790 | − | 23.5516i | 0.0956737 | − | 0.916745i | ||||
\(661\) | 3.92147 | + | 22.2397i | 0.152527 | + | 0.865026i | 0.961012 | + | 0.276508i | \(0.0891772\pi\) |
−0.808484 | + | 0.588518i | \(0.799712\pi\) | |||||||
\(662\) | −11.8963 | − | 5.54733i | −0.462363 | − | 0.215603i | ||||
\(663\) | −1.24122 | − | 2.99266i | −0.0482048 | − | 0.116225i | ||||
\(664\) | − | 26.1064i | − | 1.01312i | ||||||
\(665\) | 19.1316 | − | 45.3705i | 0.741892 | − | 1.75939i | ||||
\(666\) | −3.11762 | − | 4.44371i | −0.120805 | − | 0.172190i | ||||
\(667\) | 15.3536 | − | 1.34326i | 0.594493 | − | 0.0520114i | ||||
\(668\) | 6.12399 | − | 13.1329i | 0.236944 | − | 0.508128i | ||||
\(669\) | −0.882451 | − | 1.69327i | −0.0341175 | − | 0.0654656i | ||||
\(670\) | −0.262129 | + | 0.103338i | −0.0101269 | + | 0.00399231i | ||||
\(671\) | −16.0803 | + | 44.1801i | −0.620771 | + | 1.70556i | ||||
\(672\) | 50.7329 | − | 2.23844i | 1.95707 | − | 0.0863497i | ||||
\(673\) | 29.3443 | − | 7.86279i | 1.13114 | − | 0.303088i | 0.355757 | − | 0.934579i | \(-0.384223\pi\) |
0.775384 | + | 0.631491i | \(0.217557\pi\) | |||||||
\(674\) | 9.77107 | − | 8.19890i | 0.376367 | − | 0.315810i | ||||
\(675\) | 9.14555 | + | 24.3179i | 0.352013 | + | 0.935995i | ||||
\(676\) | 1.24163 | − | 2.15056i | 0.0477549 | − | 0.0827139i | ||||
\(677\) | 11.1301 | − | 41.5381i | 0.427765 | − | 1.59644i | −0.330045 | − | 0.943965i | \(-0.607064\pi\) |
0.757810 | − | 0.652475i | \(-0.226269\pi\) | |||||||
\(678\) | −3.28508 | + | 3.01301i | −0.126163 | + | 0.115714i | ||||
\(679\) | −22.9969 | − | 4.05498i | −0.882542 | − | 0.155616i | ||||
\(680\) | −2.25152 | + | 1.99307i | −0.0863417 | + | 0.0764308i | ||||
\(681\) | −2.12084 | + | 1.62893i | −0.0812708 | + | 0.0624207i | ||||
\(682\) | −9.02331 | + | 0.789437i | −0.345520 | + | 0.0302291i | ||||
\(683\) | 2.24357 | − | 2.24357i | 0.0858480 | − | 0.0858480i | −0.662879 | − | 0.748727i | \(-0.730666\pi\) |
0.748727 | + | 0.662879i | \(0.230666\pi\) | |||||||
\(684\) | 11.2646 | − | 16.4967i | 0.430714 | − | 0.630766i | ||||
\(685\) | −4.90994 | + | 20.4761i | −0.187599 | + | 0.782350i | ||||
\(686\) | −25.7140 | + | 30.6447i | −0.981765 | + | 1.17002i | ||||
\(687\) | −4.45650 | − | 0.584623i | −0.170026 | − | 0.0223047i | ||||
\(688\) | −2.28885 | + | 3.26882i | −0.0872617 | + | 0.124623i | ||||
\(689\) | −2.49673 | + | 14.1596i | −0.0951177 | + | 0.539439i | ||||
\(690\) | −5.51600 | − | 1.57731i | −0.209991 | − | 0.0600471i | ||||
\(691\) | −11.2536 | − | 19.4917i | −0.428105 | − | 0.741500i | 0.568599 | − | 0.822615i | \(-0.307485\pi\) |
−0.996705 | + | 0.0811142i | \(0.974152\pi\) | |||||||
\(692\) | −15.1565 | + | 4.06117i | −0.576163 | + | 0.154382i | ||||
\(693\) | 30.3776 | + | 52.5039i | 1.15395 | + | 1.99446i | ||||
\(694\) | 8.00353 | + | 9.53823i | 0.303810 | + | 0.362066i | ||||
\(695\) | 0.979171 | + | 37.0061i | 0.0371421 | + | 1.40372i | ||||
\(696\) | −20.2789 | + | 22.1510i | −0.768670 | + | 0.839632i | ||||
\(697\) | −0.386893 | + | 0.180411i | −0.0146546 | + | 0.00683356i | ||||
\(698\) | 12.9581 | + | 18.5061i | 0.490471 | + | 0.700465i | ||||
\(699\) | −20.5544 | + | 10.7120i | −0.777437 | + | 0.405163i | ||||
\(700\) | −30.3929 | + | 23.7723i | −1.14874 | + | 0.898509i | ||||
\(701\) | −13.7458 | + | 16.3815i | −0.519170 | + | 0.618723i | −0.960384 | − | 0.278679i | \(-0.910103\pi\) |
0.441214 | + | 0.897402i | \(0.354548\pi\) | |||||||
\(702\) | 1.58867 | + | 11.9398i | 0.0599607 | + | 0.450638i | ||||
\(703\) | −3.08981 | − | 11.0513i | −0.116534 | − | 0.416807i | ||||
\(704\) | −4.84932 | −0.182766 | ||||||||
\(705\) | −3.21333 | − | 20.1923i | −0.121021 | − | 0.760484i | ||||
\(706\) | 23.9011 | − | 8.69929i | 0.899530 | − | 0.327402i | ||||
\(707\) | 11.1496 | − | 15.9232i | 0.419322 | − | 0.598855i | ||||
\(708\) | −13.4259 | + | 17.5136i | −0.504575 | + | 0.658202i | ||||
\(709\) | 0.934654 | − | 2.56794i | 0.0351017 | − | 0.0964411i | −0.920904 | − | 0.389790i | \(-0.872548\pi\) |
0.956005 | + | 0.293349i | \(0.0947698\pi\) | |||||||
\(710\) | 5.38840 | + | 18.1727i | 0.202223 | + | 0.682009i | ||||
\(711\) | 0.961289 | + | 10.8723i | 0.0360512 | + | 0.407744i | ||||
\(712\) | 1.33338 | − | 15.2406i | 0.0499707 | − | 0.571167i | ||||
\(713\) | 0.618473 | − | 7.06918i | 0.0231620 | − | 0.264743i | ||||
\(714\) | 0.720453 | − | 3.25684i | 0.0269623 | − | 0.121884i | ||||
\(715\) | 8.58051 | + | 28.9382i | 0.320893 | + | 1.08223i | ||||
\(716\) | 6.61400 | − | 18.1718i | 0.247177 | − | 0.679112i | ||||
\(717\) | −35.4076 | − | 27.1433i | −1.32232 | − | 1.01369i | ||||
\(718\) | −2.61470 | + | 3.73418i | −0.0975799 | + | 0.139358i | ||||
\(719\) | 37.6297 | − | 13.6961i | 1.40335 | − | 0.510778i | 0.474180 | − | 0.880428i | \(-0.342744\pi\) |
0.929171 | + | 0.369650i | \(0.120522\pi\) | |||||||
\(720\) | −8.33193 | + | 4.16658i | −0.310513 | + | 0.155279i | ||||
\(721\) | 26.9180 | 1.00248 | ||||||||
\(722\) | −10.5327 | + | 7.72029i | −0.391987 | + | 0.287319i | ||||
\(723\) | 15.9995 | − | 30.7693i | 0.595027 | − | 1.14432i | ||||
\(724\) | −3.43084 | + | 4.08872i | −0.127506 | + | 0.151956i | ||||
\(725\) | 4.33815 | − | 35.4920i | 0.161115 | − | 1.31814i | ||||
\(726\) | −2.76154 | − | 5.29891i | −0.102490 | − | 0.196661i | ||||
\(727\) | 15.9134 | + | 22.7267i | 0.590194 | + | 0.842885i | 0.997519 | − | 0.0703985i | \(-0.0224271\pi\) |
−0.407325 | + | 0.913283i | \(0.633538\pi\) | |||||||
\(728\) | −37.4393 | + | 17.4582i | −1.38759 | + | 0.647045i | ||||
\(729\) | −19.1445 | − | 19.0391i | −0.709057 | − | 0.705152i | ||||
\(730\) | −0.0616105 | − | 2.32846i | −0.00228031 | − | 0.0861802i | ||||
\(731\) | 1.02444 | + | 1.22088i | 0.0378904 | + | 0.0451560i | ||||
\(732\) | 30.3406 | − | 6.74099i | 1.12142 | − | 0.249154i | ||||
\(733\) | −46.8282 | + | 12.5476i | −1.72964 | + | 0.463455i | −0.980100 | − | 0.198505i | \(-0.936391\pi\) |
−0.749539 | + | 0.661960i | \(0.769725\pi\) | |||||||
\(734\) | −1.34221 | − | 2.32477i | −0.0495418 | − | 0.0858089i | ||||
\(735\) | 19.7213 | − | 68.9674i | 0.727432 | − | 2.54390i | ||||
\(736\) | 2.17199 | − | 12.3180i | 0.0800606 | − | 0.454046i | ||||
\(737\) | 0.420873 | − | 0.601070i | 0.0155031 | − | 0.0221407i | ||||
\(738\) | 1.56271 | − | 0.277031i | 0.0575240 | − | 0.0101976i | ||||
\(739\) | 25.1359 | − | 29.9558i | 0.924640 | − | 1.10194i | −0.0698962 | − | 0.997554i | \(-0.522267\pi\) |
0.994537 | − | 0.104389i | \(-0.0332888\pi\) | |||||||
\(740\) | −2.09682 | + | 8.74441i | −0.0770805 | + | 0.321451i | ||||
\(741\) | −5.23016 | + | 24.9196i | −0.192135 | + | 0.915444i | ||||
\(742\) | −10.4672 | + | 10.4672i | −0.384264 | + | 0.384264i | ||||
\(743\) | 24.2643 | − | 2.12285i | 0.890171 | − | 0.0778799i | 0.367113 | − | 0.930176i | \(-0.380346\pi\) |
0.523059 | + | 0.852297i | \(0.324791\pi\) | |||||||
\(744\) | 8.42260 | + | 10.9661i | 0.308788 | + | 0.402037i | ||||
\(745\) | −11.7288 | + | 10.3825i | −0.429711 | + | 0.380386i | ||||
\(746\) | −10.7646 | − | 1.89808i | −0.394118 | − | 0.0694937i | ||||
\(747\) | −27.9892 | − | 16.1253i | −1.02407 | − | 0.589992i | ||||
\(748\) | 0.877656 | − | 3.27546i | 0.0320903 | − | 0.119763i | ||||
\(749\) | 40.0807 | − | 69.4218i | 1.46452 | − | 2.53662i | ||||
\(750\) | −6.23358 | + | 11.7600i | −0.227618 | + | 0.429414i | ||||
\(751\) | −0.659164 | + | 0.553104i | −0.0240532 | + | 0.0201831i | −0.654735 | − | 0.755859i | \(-0.727220\pi\) |
0.630682 | + | 0.776042i | \(0.282775\pi\) | |||||||
\(752\) | 7.08143 | − | 1.89746i | 0.258233 | − | 0.0691934i | ||||
\(753\) | 0.0274855 | + | 0.622943i | 0.00100163 | + | 0.0227013i | ||||
\(754\) | 5.66966 | − | 15.5773i | 0.206477 | − | 0.567291i | ||||
\(755\) | −32.6949 | + | 12.8892i | −1.18989 | + | 0.469087i | ||||
\(756\) | 18.4667 | − | 35.5941i | 0.671627 | − | 1.29454i | ||||
\(757\) | 12.2229 | − | 26.2120i | 0.444247 | − | 0.952691i | −0.548907 | − | 0.835883i | \(-0.684956\pi\) |
0.993155 | − | 0.116808i | \(-0.0372662\pi\) | |||||||
\(758\) | 25.5364 | − | 2.23415i | 0.927524 | − | 0.0811478i | ||||
\(759\) | 14.2470 | − | 4.49927i | 0.517134 | − | 0.163313i | ||||
\(760\) | 23.4489 | − | 2.93570i | 0.850583 | − | 0.106489i | ||||
\(761\) | − | 48.1504i | − | 1.74545i | −0.488212 | − | 0.872725i | \(-0.662351\pi\) | ||
0.488212 | − | 0.872725i | \(-0.337649\pi\) | |||||||
\(762\) | −5.36868 | + | 2.22668i | −0.194487 | + | 0.0806639i | ||||
\(763\) | 75.6368 | + | 35.2700i | 2.73824 | + | 1.27686i | ||||
\(764\) | −1.23937 | − | 7.02881i | −0.0448388 | − | 0.254294i | ||||
\(765\) | 0.746111 | + | 3.64497i | 0.0269757 | + | 0.131784i | ||||
\(766\) | −7.53762 | − | 2.74347i | −0.272345 | − | 0.0991256i | ||||
\(767\) | 7.28031 | − | 27.1705i | 0.262877 | − | 0.981069i | ||||
\(768\) | 9.15360 | + | 14.3537i | 0.330302 | + | 0.517944i | ||||
\(769\) | 16.4012 | + | 19.5461i | 0.591441 | + | 0.704852i | 0.975882 | − | 0.218298i | \(-0.0700503\pi\) |
−0.384441 | + | 0.923149i | \(0.625606\pi\) | |||||||
\(770\) | −9.85230 | + | 29.4722i | −0.355052 | + | 1.06210i | ||||
\(771\) | −3.64014 | + | 16.4555i | −0.131097 | + | 0.592629i | ||||
\(772\) | −30.5781 | − | 8.19339i | −1.10053 | − | 0.294887i | ||||
\(773\) | −6.96257 | + | 3.24670i | −0.250426 | + | 0.116776i | −0.543779 | − | 0.839229i | \(-0.683007\pi\) |
0.293352 | + | 0.956004i | \(0.405229\pi\) | |||||||
\(774\) | −2.50903 | − | 5.36773i | −0.0901852 | − | 0.192939i | ||||
\(775\) | −15.7463 | − | 4.80470i | −0.565624 | − | 0.172590i | ||||
\(776\) | −3.83318 | − | 10.5316i | −0.137603 | − | 0.378062i | ||||
\(777\) | −8.82493 | − | 21.2776i | −0.316593 | − | 0.763328i | ||||
\(778\) | −5.51661 | − | 5.51661i | −0.197780 | − | 0.197780i | ||||
\(779\) | 3.31014 | + | 0.546781i | 0.118598 | + | 0.0195905i | ||||
\(780\) | 13.0795 | − | 15.0686i | 0.468322 | − | 0.539542i | ||||
\(781\) | −37.8135 | − | 31.7293i | −1.35307 | − | 1.13536i | ||||
\(782\) | −0.744599 | − | 0.347212i | −0.0266268 | − | 0.0124163i | ||||
\(783\) | 11.2228 | + | 35.4236i | 0.401070 | + | 1.26594i | ||||
\(784\) | 25.3294 | + | 4.46625i | 0.904620 | + | 0.159509i | ||||
\(785\) | 4.60794 | + | 3.04812i | 0.164464 | + | 0.108792i | ||||
\(786\) | 11.2326 | − | 12.2695i | 0.400653 | − | 0.437640i | ||||
\(787\) | −9.27437 | − | 34.6124i | −0.330596 | − | 1.23380i | −0.908566 | − | 0.417742i | \(-0.862822\pi\) |
0.577970 | − | 0.816058i | \(-0.303845\pi\) | |||||||
\(788\) | −0.796442 | + | 9.10337i | −0.0283721 | + | 0.324294i | ||||
\(789\) | −23.4425 | − | 14.9194i | −0.834575 | − | 0.531143i | ||||
\(790\) | −3.84791 | + | 4.05707i | −0.136902 | + | 0.144344i | ||||
\(791\) | −16.3816 | + | 9.45794i | −0.582464 | + | 0.336285i | ||||
\(792\) | −14.5331 | + | 25.2257i | −0.516411 | + | 0.896354i | ||||
\(793\) | −32.4525 | + | 22.7235i | −1.15242 | + | 0.806935i | ||||
\(794\) | −0.172596 | − | 0.978842i | −0.00612521 | − | 0.0347378i | ||||
\(795\) | 5.90582 | − | 15.4190i | 0.209458 | − | 0.546855i | ||||
\(796\) | −11.1610 | − | 9.36521i | −0.395592 | − | 0.331941i | ||||
\(797\) | 34.6157 | + | 34.6157i | 1.22615 | + | 1.22615i | 0.965408 | + | 0.260743i | \(0.0839674\pi\) |
0.260743 | + | 0.965408i | \(0.416033\pi\) | |||||||
\(798\) | −19.1265 | + | 17.9275i | −0.677070 | + | 0.634628i | ||||
\(799\) | − | 2.92800i | − | 0.103585i | ||||||
\(800\) | −26.9113 | − | 10.8557i | −0.951457 | − | 0.383808i | ||||
\(801\) | −15.5162 | − | 10.8433i | −0.548239 | − | 0.383129i | ||||
\(802\) | −14.0127 | − | 9.81177i | −0.494804 | − | 0.346466i | ||||
\(803\) | 3.47927 | + | 4.96891i | 0.122781 | + | 0.175349i | ||||
\(804\) | −0.484619 | − | 0.0209355i | −0.0170912 | − | 0.000738337i | ||||
\(805\) | −21.3985 | − | 11.6108i | −0.754196 | − | 0.409228i | ||||
\(806\) | −6.60990 | − | 3.81623i | −0.232824 | − | 0.134421i | ||||
\(807\) | 2.63072 | + | 11.8406i | 0.0926059 | + | 0.416810i | ||||
\(808\) | 9.29395 | + | 0.813115i | 0.326960 | + | 0.0286053i | ||||
\(809\) | 10.0794 | − | 17.4580i | 0.354371 | − | 0.613789i | −0.632639 | − | 0.774447i | \(-0.718028\pi\) |
0.987010 | + | 0.160658i | \(0.0513616\pi\) | |||||||
\(810\) | 0.815235 | − | 13.8081i | 0.0286444 | − | 0.485166i | ||||
\(811\) | −25.9214 | − | 9.43462i | −0.910223 | − | 0.331294i | −0.155881 | − | 0.987776i | \(-0.549822\pi\) |
−0.754342 | + | 0.656482i | \(0.772044\pi\) | |||||||
\(812\) | −45.2064 | + | 31.6539i | −1.58643 | + | 1.11083i | ||||
\(813\) | −11.6510 | − | 3.66765i | −0.408619 | − | 0.128630i | ||||
\(814\) | 2.47693 | + | 6.80530i | 0.0868163 | + | 0.238526i | ||||
\(815\) | −3.88710 | + | 2.87795i | −0.136159 | + | 0.100810i | ||||
\(816\) | −1.27211 | + | 0.401739i | −0.0445328 | + | 0.0140637i | ||||
\(817\) | −1.22671 | − | 12.4653i | −0.0429170 | − | 0.436106i | ||||
\(818\) | −3.88493 | + | 3.88493i | −0.135834 | + | 0.135834i | ||||
\(819\) | −4.40796 | + | 50.9230i | −0.154026 | + | 1.77939i | ||||
\(820\) | −2.05800 | − | 1.63608i | −0.0718683 | − | 0.0571346i | ||||
\(821\) | −11.4189 | + | 2.01346i | −0.398522 | + | 0.0702701i | −0.369317 | − | 0.929303i | \(-0.620408\pi\) |
−0.0292043 | + | 0.999573i | \(0.509297\pi\) | |||||||
\(822\) | 6.82039 | − | 8.89698i | 0.237888 | − | 0.310318i | ||||
\(823\) | −14.7073 | − | 31.5400i | −0.512665 | − | 1.09941i | −0.976899 | − | 0.213701i | \(-0.931448\pi\) |
0.464234 | − | 0.885713i | \(-0.346330\pi\) | |||||||
\(824\) | 6.45955 | + | 11.1883i | 0.225029 | + | 0.389762i | ||||
\(825\) | −3.35695 | − | 34.4989i | −0.116874 | − | 1.20110i | ||||
\(826\) | 22.1847 | − | 18.6152i | 0.771904 | − | 0.647704i | ||||
\(827\) | −34.1225 | − | 2.98533i | −1.18656 | − | 0.103810i | −0.523264 | − | 0.852171i | \(-0.675286\pi\) |
−0.663292 | + | 0.748360i | \(0.730841\pi\) | |||||||
\(828\) | −7.57184 | − | 6.34166i | −0.263140 | − | 0.220388i | ||||
\(829\) | −38.1830 | + | 22.0450i | −1.32615 | + | 0.765654i | −0.984702 | − | 0.174246i | \(-0.944251\pi\) |
−0.341450 | + | 0.939900i | \(0.610918\pi\) | |||||||
\(830\) | −3.30364 | − | 16.2152i | −0.114671 | − | 0.562838i | ||||
\(831\) | −4.97716 | + | 0.657587i | −0.172656 | + | 0.0228114i | ||||
\(832\) | −3.34725 | − | 2.34377i | −0.116045 | − | 0.0812556i | ||||
\(833\) | 4.34125 | − | 9.30983i | 0.150415 | − | 0.322567i | ||||
\(834\) | 7.53387 | − | 18.2121i | 0.260877 | − | 0.630632i | ||||
\(835\) | 4.94601 | − | 20.6265i | 0.171164 | − | 0.713808i | ||||
\(836\) | −20.2287 | + | 17.3506i | −0.699626 | + | 0.600083i | ||||
\(837\) | 16.9594 | − | 2.25657i | 0.586203 | − | 0.0779986i | ||||
\(838\) | 0.864444 | + | 9.88064i | 0.0298617 | + | 0.341321i | ||||
\(839\) | −53.5321 | + | 19.4841i | −1.84813 | + | 0.672666i | −0.861954 | + | 0.506987i | \(0.830759\pi\) |
−0.986180 | + | 0.165679i | \(0.947019\pi\) | |||||||
\(840\) | 46.0212 | − | 11.5103i | 1.58788 | − | 0.397142i | ||||
\(841\) | 3.84457 | − | 21.8037i | 0.132571 | − | 0.751850i | ||||
\(842\) | −3.58315 | − | 7.68409i | −0.123484 | − | 0.264811i | ||||
\(843\) | −0.321393 | − | 7.28418i | −0.0110694 | − | 0.250881i | ||||
\(844\) | 1.09307 | + | 0.631086i | 0.0376251 | + | 0.0217229i | ||||
\(845\) | 1.15245 | − | 3.44744i | 0.0396454 | − | 0.118596i | ||||
\(846\) | −2.80772 | + | 10.5173i | −0.0965314 | + | 0.361591i | ||||
\(847\) | −6.56275 | − | 24.4925i | −0.225499 | − | 0.841573i | ||||
\(848\) | 5.71857 | + | 1.53229i | 0.196377 | + | 0.0526190i | ||||
\(849\) | 22.1461 | + | 0.956710i | 0.760054 | + | 0.0328342i | ||||
\(850\) | −1.14625 | + | 1.52286i | −0.0393160 | + | 0.0522336i | ||||
\(851\) | −5.58748 | + | 0.985224i | −0.191536 | + | 0.0337730i | ||||
\(852\) | −4.24439 | + | 32.3544i | −0.145410 | + | 1.10844i | ||||
\(853\) | 0.0437028 | + | 0.499525i | 0.00149635 | + | 0.0171034i | 0.996906 | − | 0.0786008i | \(-0.0250453\pi\) |
−0.995410 | + | 0.0957042i | \(0.969490\pi\) | |||||||
\(854\) | −40.7878 | −1.39573 | ||||||||
\(855\) | 11.3364 | − | 26.9534i | 0.387696 | − | 0.921787i | ||||
\(856\) | 38.4729 | 1.31498 | ||||||||
\(857\) | −1.61326 | − | 18.4396i | −0.0551078 | − | 0.629885i | −0.972654 | − | 0.232257i | \(-0.925389\pi\) |
0.917547 | − | 0.397628i | \(-0.130167\pi\) | |||||||
\(858\) | 2.09018 | − | 15.9332i | 0.0713576 | − | 0.543949i | ||||
\(859\) | −2.35797 | + | 0.415774i | −0.0804530 | + | 0.0141860i | −0.213730 | − | 0.976893i | \(-0.568561\pi\) |
0.133277 | + | 0.991079i | \(0.457450\pi\) | |||||||
\(860\) | −3.91144 | + | 9.00243i | −0.133379 | + | 0.306980i | ||||
\(861\) | 6.72852 | + | 0.290671i | 0.229307 | + | 0.00990605i | ||||
\(862\) | 2.14100 | + | 0.573679i | 0.0729227 | + | 0.0195396i | ||||
\(863\) | 7.01952 | + | 26.1972i | 0.238947 | + | 0.891763i | 0.976330 | + | 0.216288i | \(0.0693950\pi\) |
−0.737382 | + | 0.675476i | \(0.763938\pi\) | |||||||
\(864\) | 30.1262 | − | 1.35701i | 1.02491 | − | 0.0461665i | ||||
\(865\) | −20.5525 | + | 10.2541i | −0.698807 | + | 0.348651i | ||||
\(866\) | 9.26132 | + | 5.34703i | 0.314713 | + | 0.181699i | ||||
\(867\) | −1.27442 | − | 28.8840i | −0.0432816 | − | 0.980951i | ||||
\(868\) | 10.7385 | + | 23.0288i | 0.364488 | + | 0.781647i | ||||
\(869\) | 2.52862 | − | 14.3405i | 0.0857775 | − | 0.486469i | ||||
\(870\) | −9.79254 | + | 16.3246i | −0.331998 | + | 0.553457i | ||||
\(871\) | 0.581017 | − | 0.211473i | 0.0196870 | − | 0.00716549i | ||||
\(872\) | 3.49094 | + | 39.9017i | 0.118218 | + | 1.35124i | ||||
\(873\) | −13.6588 | − | 2.39545i | −0.462280 | − | 0.0810738i | ||||
\(874\) | 3.28880 | + | 5.55654i | 0.111245 | + | 0.187953i | ||||
\(875\) | −36.6464 | + | 42.9788i | −1.23887 | + | 1.45295i | ||||
\(876\) | 1.53285 | − | 3.70544i | 0.0517901 | − | 0.125195i | ||||
\(877\) | 13.1506 | − | 28.2016i | 0.444065 | − | 0.952300i | −0.549119 | − | 0.835744i | \(-0.685037\pi\) |
0.993184 | − | 0.116556i | \(-0.0371856\pi\) | |||||||
\(878\) | −1.11203 | − | 0.778653i | −0.0375293 | − | 0.0262783i | ||||
\(879\) | −25.2748 | + | 3.33932i | −0.852497 | + | 0.112632i | ||||
\(880\) | 12.1782 | − | 2.48115i | 0.410526 | − | 0.0836395i | ||||
\(881\) | −32.4523 | + | 18.7364i | −1.09335 | + | 0.631244i | −0.934465 | − | 0.356054i | \(-0.884122\pi\) |
−0.158881 | + | 0.987298i | \(0.550789\pi\) | |||||||
\(882\) | −24.5210 | + | 29.2777i | −0.825665 | + | 0.985831i | ||||
\(883\) | 23.0383 | + | 2.01559i | 0.775300 | + | 0.0678299i | 0.467936 | − | 0.883762i | \(-0.344998\pi\) |
0.307363 | + | 0.951592i | \(0.400553\pi\) | |||||||
\(884\) | 2.18889 | − | 1.83670i | 0.0736205 | − | 0.0617749i | ||||
\(885\) | −14.1391 | + | 29.0436i | −0.475282 | + | 0.976290i | ||||
\(886\) | −8.91252 | − | 15.4369i | −0.299422 | − | 0.518614i | ||||
\(887\) | 16.2832 | + | 34.9194i | 0.546736 | + | 1.17248i | 0.964539 | + | 0.263941i | \(0.0850225\pi\) |
−0.417803 | + | 0.908538i | \(0.637200\pi\) | |||||||
\(888\) | 6.72613 | − | 8.77402i | 0.225714 | − | 0.294437i | ||||
\(889\) | −24.2893 | + | 4.28285i | −0.814635 | + | 0.143642i | ||||
\(890\) | −1.10044 | − | 9.63501i | −0.0368869 | − | 0.322966i | ||||
\(891\) | 18.0682 | + | 31.1625i | 0.605309 | + | 1.04398i | ||||
\(892\) | 1.19078 | − | 1.19078i | 0.0398703 | − | 0.0398703i | ||||
\(893\) | −12.9940 | + | 18.9918i | −0.434829 | + | 0.635536i | ||||
\(894\) | 7.95237 | − | 2.51140i | 0.265967 | − | 0.0839937i | ||||
\(895\) | 4.17636 | − | 27.9971i | 0.139600 | − | 0.935838i | ||||
\(896\) | 18.6166 | + | 51.1488i | 0.621938 | + | 1.70876i | ||||
\(897\) | 12.0086 | + | 3.78022i | 0.400956 | + | 0.126218i | ||||
\(898\) | −10.3166 | + | 7.22377i | −0.344270 | + | 0.241060i | ||||
\(899\) | −22.1261 | − | 8.05326i | −0.737948 | − | 0.268591i | ||||
\(900\) | −18.0356 | + | 14.1336i | −0.601187 | + | 0.471121i | ||||
\(901\) | 1.18224 | − | 2.04771i | 0.0393863 | − | 0.0682190i | ||||
\(902\) | −2.10931 | − | 0.184541i | −0.0702325 | − | 0.00614454i | ||||
\(903\) | −5.45339 | − | 24.5452i | −0.181477 | − | 0.816813i | ||||
\(904\) | −7.86224 | − | 4.53927i | −0.261494 | − | 0.150974i | ||||
\(905\) | −3.72611 | + | 6.86713i | −0.123860 | + | 0.228271i | ||||
\(906\) | 18.6931 | + | 0.807539i | 0.621037 | + | 0.0268287i | ||||
\(907\) | 14.2921 | + | 20.4113i | 0.474562 | + | 0.677745i | 0.983053 | − | 0.183323i | \(-0.0586853\pi\) |
−0.508491 | + | 0.861067i | \(0.669796\pi\) | |||||||
\(908\) | −1.93199 | − | 1.35279i | −0.0641153 | − | 0.0448940i | ||||
\(909\) | 6.61239 | − | 9.46200i | 0.219319 | − | 0.313835i | ||||
\(910\) | −21.0451 | + | 15.5814i | −0.697637 | + | 0.516519i | ||||
\(911\) | 9.22340i | 0.305585i | 0.988258 | + | 0.152793i | \(0.0488266\pi\) | ||||
−0.988258 | + | 0.152793i | \(0.951173\pi\) | |||||||
\(912\) | 10.0341 | + | 3.03966i | 0.332263 | + | 0.100653i | ||||
\(913\) | 30.4730 | + | 30.4730i | 1.00851 | + | 1.00851i | ||||
\(914\) | 8.56417 | + | 7.18619i | 0.283277 | + | 0.237698i | ||||
\(915\) | 41.5483 | − | 18.5351i | 1.37355 | − | 0.612750i | ||||
\(916\) | −0.688358 | − | 3.90387i | −0.0227440 | − | 0.128988i | ||||
\(917\) | 57.8238 | − | 40.4887i | 1.90951 | − | 1.33705i | ||||
\(918\) | 0.426056 | − | 1.93445i | 0.0140619 | − | 0.0638463i | ||||
\(919\) | 16.5498 | − | 9.55502i | 0.545927 | − | 0.315191i | −0.201551 | − | 0.979478i | \(-0.564598\pi\) |
0.747478 | + | 0.664287i | \(0.231265\pi\) | |||||||
\(920\) | −0.309060 | − | 11.6804i | −0.0101894 | − | 0.385091i | ||||
\(921\) | 37.6650 | + | 23.9709i | 1.24110 | + | 0.789867i | ||||
\(922\) | 1.73181 | − | 19.7947i | 0.0570343 | − | 0.651905i | ||||
\(923\) | −10.7654 | − | 40.1772i | −0.354349 | − | 1.32245i | ||||
\(924\) | −36.1245 | + | 39.4595i | −1.18841 | + | 1.29812i | ||||
\(925\) | −0.452177 | + | 13.1551i | −0.0148675 | + | 0.432536i | ||||
\(926\) | 3.65173 | + | 0.643898i | 0.120003 | + | 0.0211598i | ||||
\(927\) | 15.9851 | − | 0.0147131i | 0.525019 | − | 0.000483243i | ||||
\(928\) | −37.6148 | − | 17.5401i | −1.23477 | − | 0.575781i | ||||
\(929\) | 31.3516 | + | 26.3071i | 1.02861 | + | 0.863109i | 0.990685 | − | 0.136171i | \(-0.0434798\pi\) |
0.0379281 | + | 0.999280i | \(0.487924\pi\) | |||||||
\(930\) | 6.61916 | + | 5.74542i | 0.217051 | + | 0.188400i | ||||
\(931\) | −69.4743 | + | 41.1203i | −2.27693 | + | 1.34766i | ||||
\(932\) | −14.4547 | − | 14.4547i | −0.473480 | − | 0.473480i | ||||
\(933\) | −15.9338 | − | 38.4176i | −0.521650 | − | 1.25774i | ||||
\(934\) | −0.232701 | − | 0.639340i | −0.00761421 | − | 0.0209199i | ||||
\(935\) | 0.301672 | − | 4.95454i | 0.00986573 | − | 0.162031i | ||||
\(936\) | −22.2235 | + | 10.3879i | −0.726399 | + | 0.339540i | ||||
\(937\) | −4.54155 | + | 2.11776i | −0.148366 | + | 0.0691842i | −0.495383 | − | 0.868675i | \(-0.664972\pi\) |
0.347017 | + | 0.937859i | \(0.387195\pi\) | |||||||
\(938\) | 0.614883 | + | 0.164758i | 0.0200767 | + | 0.00537952i | ||||
\(939\) | −6.95236 | + | 31.4285i | −0.226882 | + | 1.02563i | ||||
\(940\) | 16.1359 | − | 8.05057i | 0.526295 | − | 0.262581i | ||||
\(941\) | 32.0414 | + | 38.1854i | 1.04452 | + | 1.24481i | 0.968843 | + | 0.247677i | \(0.0796672\pi\) |
0.0756764 | + | 0.997132i | \(0.475888\pi\) | |||||||
\(942\) | −1.58157 | − | 2.48005i | −0.0515303 | − | 0.0808043i | ||||
\(943\) | 0.429335 | − | 1.60230i | 0.0139811 | − | 0.0521780i | ||||
\(944\) | −10.8838 | − | 3.96140i | −0.354239 | − | 0.128932i | ||||
\(945\) | 16.0857 | − | 56.4499i | 0.523269 | − | 1.83632i | ||||
\(946\) | 1.37269 | + | 7.78490i | 0.0446299 | + | 0.253109i | ||||
\(947\) | −49.4248 | − | 23.0472i | −1.60609 | − | 0.748932i | −0.607134 | − | 0.794600i | \(-0.707681\pi\) |
−0.998957 | + | 0.0456674i | \(0.985459\pi\) | |||||||
\(948\) | −8.89183 | + | 3.68791i | −0.288793 | + | 0.119778i | ||||
\(949\) | 5.11139i | 0.165923i | ||||||||
\(950\) | 14.1931 | − | 4.79078i | 0.460486 | − | 0.155433i | ||||
\(951\) | −7.59641 | + | 2.39898i | −0.246330 | + | 0.0777923i | ||||
\(952\) | 6.76757 | − | 0.592086i | 0.219338 | − | 0.0191896i | ||||
\(953\) | 11.2857 | − | 24.2022i | 0.365579 | − | 0.783987i | −0.634361 | − | 0.773037i | \(-0.718737\pi\) |
0.999940 | − | 0.0109498i | \(-0.00348549\pi\) | |||||||
\(954\) | −6.21017 | + | 6.22161i | −0.201062 | + | 0.201432i | ||||
\(955\) | −3.83166 | − | 9.71943i | −0.123990 | − | 0.314513i | ||||
\(956\) | 13.4578 | − | 36.9750i | 0.435256 | − | 1.19586i | ||||
\(957\) | −2.18522 | − | 49.5268i | −0.0706382 | − | 1.60097i | ||||
\(958\) | −18.5439 | + | 4.96883i | −0.599127 | + | 0.160536i | ||||
\(959\) | 36.4422 | − | 30.5786i | 1.17678 | − | 0.987435i | ||||
\(960\) | 3.26217 | + | 3.37312i | 0.105286 | + | 0.108867i | ||||
\(961\) | 10.0794 | − | 17.4580i | 0.325141 | − | 0.563161i | ||||
\(962\) | −1.57943 | + | 5.89452i | −0.0509229 | + | 0.190047i | ||||
\(963\) | 23.7637 | − | 41.2476i | 0.765774 | − | 1.32918i | ||||
\(964\) | 30.1218 | + | 5.31129i | 0.970159 | + | 0.171065i | ||||
\(965\) | −46.2533 | − | 2.81627i | −1.48895 | − | 0.0906589i | ||||
\(966\) | 7.89520 | + | 10.2794i | 0.254024 | + | 0.330735i | ||||
\(967\) | −5.77771 | + | 0.505484i | −0.185798 | + | 0.0162553i | −0.179675 | − | 0.983726i | \(-0.557505\pi\) |
−0.00612329 | + | 0.999981i | \(0.501949\pi\) | |||||||
\(968\) | 8.60526 | − | 8.60526i | 0.276584 | − | 0.276584i | ||||
\(969\) | 2.20985 | − | 3.55673i | 0.0709906 | − | 0.114259i | ||||
\(970\) | −3.71359 | − | 6.05631i | −0.119236 | − | 0.194456i | ||||
\(971\) | −7.86127 | + | 9.36869i | −0.252280 | + | 0.300656i | −0.877290 | − | 0.479961i | \(-0.840651\pi\) |
0.625009 | + | 0.780617i | \(0.285095\pi\) | |||||||
\(972\) | 10.9469 | − | 21.1474i | 0.351121 | − | 0.678303i | ||||
\(973\) | 47.9712 | − | 68.5099i | 1.53788 | − | 2.19633i | ||||
\(974\) | −1.57156 | + | 8.91276i | −0.0503560 | + | 0.285583i | ||||
\(975\) | 14.3569 | − | 25.4354i | 0.459787 | − | 0.814585i | ||||
\(976\) | 8.15638 | + | 14.1273i | 0.261079 | + | 0.452203i | ||||
\(977\) | −19.1689 | + | 5.13630i | −0.613268 | + | 0.164325i | −0.552066 | − | 0.833801i | \(-0.686160\pi\) |
−0.0612026 | + | 0.998125i | \(0.519494\pi\) | |||||||
\(978\) | 2.51367 | − | 0.558481i | 0.0803783 | − | 0.0178582i | ||||
\(979\) | 16.2334 | + | 19.3462i | 0.518822 | + | 0.618308i | ||||
\(980\) | 63.2418 | − | 1.67336i | 2.02019 | − | 0.0534536i | ||||
\(981\) | 44.9357 | + | 20.9035i | 1.43469 | + | 0.667398i | ||||
\(982\) | 14.2268 | − | 6.63406i | 0.453995 | − | 0.211701i | ||||
\(983\) | −20.3174 | − | 29.0162i | −0.648023 | − | 0.925473i | 0.351921 | − | 0.936030i | \(-0.385529\pi\) |
−0.999944 | + | 0.0105567i | \(0.996640\pi\) | |||||||
\(984\) | 1.49384 | + | 2.86641i | 0.0476218 | + | 0.0913779i | ||||
\(985\) | 1.51788 | + | 13.2899i | 0.0483637 | + | 0.423452i | ||||
\(986\) | −1.75230 | + | 2.08831i | −0.0558047 | + | 0.0665055i | ||||
\(987\) | −21.3109 | + | 40.9838i | −0.678332 | + | 1.30453i | ||||
\(988\) | −22.3488 | + | 2.19934i | −0.711010 | + | 0.0699702i | ||||
\(989\) | −6.19305 | −0.196928 | ||||||||
\(990\) | −5.83461 | + | 17.5073i | −0.185436 | + | 0.556417i | ||||
\(991\) | −36.4373 | + | 13.2621i | −1.15747 | + | 0.421284i | −0.848192 | − | 0.529688i | \(-0.822309\pi\) |
−0.309276 | + | 0.950972i | \(0.600087\pi\) | |||||||
\(992\) | −10.9606 | + | 15.6533i | −0.347999 | + | 0.496993i | ||||
\(993\) | −26.2516 | − | 20.1244i | −0.833069 | − | 0.638628i | ||||
\(994\) | 14.6465 | − | 40.2409i | 0.464558 | − | 1.27636i | ||||
\(995\) | −18.7453 | − | 10.1712i | −0.594265 | − | 0.322449i | ||||
\(996\) | 6.15332 | − | 27.8164i | 0.194975 | − | 0.881396i | ||||
\(997\) | 0.381926 | − | 4.36544i | 0.0120957 | − | 0.138255i | −0.987746 | − | 0.156073i | \(-0.950116\pi\) |
0.999841 | + | 0.0178182i | \(0.00567202\pi\) | |||||||
\(998\) | −0.199811 | + | 2.28385i | −0.00632490 | + | 0.0722940i | ||||
\(999\) | −5.25225 | − | 12.6307i | −0.166174 | − | 0.399618i |
(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 | 285.2.bi.a.263.15 | yes | 432 | |
3.2 | odd | 2 | inner | 285.2.bi.a.263.22 | yes | 432 | |
5.2 | odd | 4 | inner | 285.2.bi.a.92.22 | yes | 432 | |
15.2 | even | 4 | inner | 285.2.bi.a.92.15 | ✓ | 432 | |
19.6 | even | 9 | inner | 285.2.bi.a.158.15 | yes | 432 | |
57.44 | odd | 18 | inner | 285.2.bi.a.158.22 | yes | 432 | |
95.82 | odd | 36 | inner | 285.2.bi.a.272.22 | yes | 432 | |
285.272 | even | 36 | inner | 285.2.bi.a.272.15 | yes | 432 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
285.2.bi.a.92.15 | ✓ | 432 | 15.2 | even | 4 | inner | |
285.2.bi.a.92.22 | yes | 432 | 5.2 | odd | 4 | inner | |
285.2.bi.a.158.15 | yes | 432 | 19.6 | even | 9 | inner | |
285.2.bi.a.158.22 | yes | 432 | 57.44 | odd | 18 | inner | |
285.2.bi.a.263.15 | yes | 432 | 1.1 | even | 1 | trivial | |
285.2.bi.a.263.22 | yes | 432 | 3.2 | odd | 2 | inner | |
285.2.bi.a.272.15 | yes | 432 | 285.272 | even | 36 | inner | |
285.2.bi.a.272.22 | yes | 432 | 95.82 | odd | 36 | inner |