Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,2,Mod(5,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.p (of order \(42\), 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: | \(2.34760181943\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.3 | ||
Character | \(\chi\) | \(=\) | 294.101 |
Dual form | 294.2.p.a.131.3 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.930874 | − | 0.365341i | −0.658227 | − | 0.258335i | ||||
\(3\) | −1.11291 | − | 1.32719i | −0.642541 | − | 0.766252i | ||||
\(4\) | 0.733052 | + | 0.680173i | 0.366526 | + | 0.340086i | ||||
\(5\) | −1.59223 | − | 1.08556i | −0.712066 | − | 0.485478i | 0.152305 | − | 0.988334i | \(-0.451330\pi\) |
−0.864371 | + | 0.502855i | \(0.832283\pi\) | |||||||
\(6\) | 0.551106 | + | 1.64204i | 0.224988 | + | 0.670358i | ||||
\(7\) | 1.91180 | − | 1.82894i | 0.722593 | − | 0.691273i | ||||
\(8\) | −0.433884 | − | 0.900969i | −0.153401 | − | 0.318541i | ||||
\(9\) | −0.522848 | + | 2.95409i | −0.174283 | + | 0.984696i | ||||
\(10\) | 1.08556 | + | 1.59223i | 0.343285 | + | 0.503506i | ||||
\(11\) | −0.652132 | − | 4.32662i | −0.196625 | − | 1.30452i | −0.841509 | − | 0.540243i | \(-0.818332\pi\) |
0.644884 | − | 0.764281i | \(-0.276906\pi\) | |||||||
\(12\) | 0.0868930 | − | 1.72987i | 0.0250839 | − | 0.499370i | ||||
\(13\) | −2.72177 | + | 2.17054i | −0.754882 | + | 0.601999i | −0.923462 | − | 0.383689i | \(-0.874653\pi\) |
0.168580 | + | 0.985688i | \(0.446082\pi\) | |||||||
\(14\) | −2.44783 | + | 1.00405i | −0.654211 | + | 0.268344i | ||||
\(15\) | 0.331267 | + | 3.32132i | 0.0855328 | + | 0.857561i | ||||
\(16\) | 0.0747301 | + | 0.997204i | 0.0186825 | + | 0.249301i | ||||
\(17\) | −2.73850 | − | 0.844714i | −0.664183 | − | 0.204873i | −0.0557089 | − | 0.998447i | \(-0.517742\pi\) |
−0.608474 | + | 0.793574i | \(0.708218\pi\) | |||||||
\(18\) | 1.56596 | − | 2.55886i | 0.369099 | − | 0.603130i | ||||
\(19\) | −4.83029 | + | 2.78877i | −1.10814 | + | 0.639787i | −0.938348 | − | 0.345692i | \(-0.887644\pi\) |
−0.169796 | + | 0.985479i | \(0.554311\pi\) | |||||||
\(20\) | −0.428815 | − | 1.87876i | −0.0958860 | − | 0.420104i | ||||
\(21\) | −4.55501 | − | 0.501871i | −0.993985 | − | 0.109517i | ||||
\(22\) | −0.973637 | + | 4.26578i | −0.207580 | + | 0.909468i | ||||
\(23\) | 1.92503 | + | 6.24079i | 0.401396 | + | 1.30129i | 0.900539 | + | 0.434774i | \(0.143172\pi\) |
−0.499144 | + | 0.866519i | \(0.666352\pi\) | |||||||
\(24\) | −0.712879 | + | 1.57854i | −0.145516 | + | 0.322219i | ||||
\(25\) | −0.469963 | − | 1.19745i | −0.0939926 | − | 0.239489i | ||||
\(26\) | 3.32661 | − | 1.02612i | 0.652401 | − | 0.201239i | ||||
\(27\) | 4.50251 | − | 2.59372i | 0.866508 | − | 0.499163i | ||||
\(28\) | 2.64544 | − | 0.0403496i | 0.499942 | − | 0.00762536i | ||||
\(29\) | −6.29435 | + | 1.43664i | −1.16883 | + | 0.266778i | −0.762525 | − | 0.646959i | \(-0.776041\pi\) |
−0.406306 | + | 0.913737i | \(0.633183\pi\) | |||||||
\(30\) | 0.905046 | − | 3.21275i | 0.165238 | − | 0.586566i | ||||
\(31\) | −2.87900 | − | 1.66219i | −0.517083 | − | 0.298538i | 0.218657 | − | 0.975802i | \(-0.429832\pi\) |
−0.735740 | + | 0.677264i | \(0.763166\pi\) | |||||||
\(32\) | 0.294755 | − | 0.955573i | 0.0521058 | − | 0.168923i | ||||
\(33\) | −5.01646 | + | 5.68065i | −0.873253 | + | 0.988874i | ||||
\(34\) | 2.24059 | + | 1.78681i | 0.384257 | + | 0.306435i | ||||
\(35\) | −5.02945 | + | 0.836703i | −0.850132 | + | 0.141429i | ||||
\(36\) | −2.39256 | + | 1.80987i | −0.398761 | + | 0.301645i | ||||
\(37\) | 7.08497 | − | 6.57390i | 1.16476 | − | 1.08074i | 0.169302 | − | 0.985564i | \(-0.445849\pi\) |
0.995460 | − | 0.0951775i | \(-0.0303419\pi\) | |||||||
\(38\) | 5.51524 | − | 0.831289i | 0.894690 | − | 0.134853i | ||||
\(39\) | 5.90980 | + | 1.19667i | 0.946325 | + | 0.191621i | ||||
\(40\) | −0.287216 | + | 1.90555i | −0.0454129 | + | 0.301295i | ||||
\(41\) | −5.79984 | + | 2.79305i | −0.905782 | + | 0.436202i | −0.827974 | − | 0.560766i | \(-0.810507\pi\) |
−0.0778085 | + | 0.996968i | \(0.524792\pi\) | |||||||
\(42\) | 4.05679 | + | 2.13131i | 0.625976 | + | 0.328868i | ||||
\(43\) | −0.565103 | − | 0.272139i | −0.0861775 | − | 0.0415009i | 0.390299 | − | 0.920688i | \(-0.372372\pi\) |
−0.476476 | + | 0.879187i | \(0.658086\pi\) | |||||||
\(44\) | 2.46480 | − | 3.61520i | 0.371582 | − | 0.545011i | ||||
\(45\) | 4.03934 | − | 4.13599i | 0.602149 | − | 0.616557i | ||||
\(46\) | 0.488057 | − | 6.51267i | 0.0719602 | − | 0.960241i | ||||
\(47\) | 0.490473 | − | 1.24971i | 0.0715429 | − | 0.182288i | −0.890629 | − | 0.454730i | \(-0.849736\pi\) |
0.962172 | + | 0.272441i | \(0.0878311\pi\) | |||||||
\(48\) | 1.24031 | − | 1.20898i | 0.179023 | − | 0.174502i | ||||
\(49\) | 0.309979 | − | 6.99313i | 0.0442827 | − | 0.999019i | ||||
\(50\) | 1.28637i | 0.181920i | ||||||||
\(51\) | 1.92662 | + | 4.57459i | 0.269780 | + | 0.640571i | ||||
\(52\) | −3.47154 | − | 0.260156i | −0.481416 | − | 0.0360771i | ||||
\(53\) | 3.51633 | − | 3.78970i | 0.483005 | − | 0.520555i | −0.443786 | − | 0.896133i | \(-0.646365\pi\) |
0.926791 | + | 0.375577i | \(0.122556\pi\) | |||||||
\(54\) | −5.13886 | + | 0.769479i | −0.699311 | + | 0.104713i | ||||
\(55\) | −3.65847 | + | 7.59688i | −0.493307 | + | 1.02436i | ||||
\(56\) | −2.47732 | − | 0.928929i | −0.331045 | − | 0.124133i | ||||
\(57\) | 9.07691 | + | 3.30704i | 1.20227 | + | 0.438028i | ||||
\(58\) | 6.38411 | + | 0.962250i | 0.838275 | + | 0.126350i | ||||
\(59\) | 1.59180 | − | 1.08527i | 0.207235 | − | 0.141290i | −0.455255 | − | 0.890361i | \(-0.650452\pi\) |
0.662490 | + | 0.749071i | \(0.269500\pi\) | |||||||
\(60\) | −2.01623 | + | 2.66002i | −0.260295 | + | 0.343407i | ||||
\(61\) | −9.97775 | − | 10.7535i | −1.27752 | − | 1.37684i | −0.890640 | − | 0.454709i | \(-0.849743\pi\) |
−0.386880 | − | 0.922130i | \(-0.626447\pi\) | |||||||
\(62\) | 2.07272 | + | 2.59910i | 0.263235 | + | 0.330087i | ||||
\(63\) | 4.40326 | + | 6.60389i | 0.554758 | + | 0.832012i | ||||
\(64\) | −0.623490 | + | 0.781831i | −0.0779362 | + | 0.0977289i | ||||
\(65\) | 6.68992 | − | 0.501340i | 0.829783 | − | 0.0621836i | ||||
\(66\) | 6.74506 | − | 3.45525i | 0.830260 | − | 0.425312i | ||||
\(67\) | 2.49630 | − | 4.32372i | 0.304972 | − | 0.528227i | −0.672283 | − | 0.740294i | \(-0.734686\pi\) |
0.977255 | + | 0.212067i | \(0.0680196\pi\) | |||||||
\(68\) | −1.43291 | − | 2.48187i | −0.173766 | − | 0.300971i | ||||
\(69\) | 6.14030 | − | 9.50032i | 0.739205 | − | 1.14370i | ||||
\(70\) | 4.98746 | + | 1.05860i | 0.596116 | + | 0.126527i | ||||
\(71\) | 8.32433 | + | 1.89997i | 0.987916 | + | 0.225485i | 0.685804 | − | 0.727787i | \(-0.259451\pi\) |
0.302113 | + | 0.953272i | \(0.402308\pi\) | |||||||
\(72\) | 2.88840 | − | 0.810660i | 0.340401 | − | 0.0955372i | ||||
\(73\) | 10.7216 | − | 4.20791i | 1.25486 | − | 0.492498i | 0.357552 | − | 0.933893i | \(-0.383612\pi\) |
0.897313 | + | 0.441395i | \(0.145516\pi\) | |||||||
\(74\) | −8.99693 | + | 3.53103i | −1.04587 | + | 0.410474i | ||||
\(75\) | −1.06621 | + | 1.95638i | −0.123115 | + | 0.225904i | ||||
\(76\) | −5.43770 | − | 1.24112i | −0.623747 | − | 0.142366i | ||||
\(77\) | −9.15985 | − | 7.07893i | −1.04386 | − | 0.806718i | ||||
\(78\) | −5.06408 | − | 3.27304i | −0.573394 | − | 0.370599i | ||||
\(79\) | 0.441270 | + | 0.764303i | 0.0496468 | + | 0.0859908i | 0.889781 | − | 0.456388i | \(-0.150857\pi\) |
−0.840134 | + | 0.542379i | \(0.817524\pi\) | |||||||
\(80\) | 0.963539 | − | 1.66890i | 0.107727 | − | 0.186589i | ||||
\(81\) | −8.45326 | − | 3.08908i | −0.939251 | − | 0.343231i | ||||
\(82\) | 6.41933 | − | 0.481063i | 0.708897 | − | 0.0531245i | ||||
\(83\) | 6.56486 | − | 8.23208i | 0.720587 | − | 0.903588i | −0.277784 | − | 0.960644i | \(-0.589600\pi\) |
0.998371 | + | 0.0570559i | \(0.0181713\pi\) | |||||||
\(84\) | −2.99770 | − | 3.46609i | −0.327076 | − | 0.378182i | ||||
\(85\) | 3.44332 | + | 4.31778i | 0.373480 | + | 0.468329i | ||||
\(86\) | 0.426616 | + | 0.459783i | 0.0460032 | + | 0.0495797i | ||||
\(87\) | 8.91176 | + | 6.75491i | 0.955441 | + | 0.724203i | ||||
\(88\) | −3.61520 | + | 2.46480i | −0.385381 | + | 0.262748i | ||||
\(89\) | 1.87383 | + | 0.282434i | 0.198625 | + | 0.0299379i | 0.247601 | − | 0.968862i | \(-0.420358\pi\) |
−0.0489761 | + | 0.998800i | \(0.515596\pi\) | |||||||
\(90\) | −5.27116 | + | 2.37435i | −0.555629 | + | 0.250279i | ||||
\(91\) | −1.23371 | + | 9.12758i | −0.129328 | + | 0.956830i | ||||
\(92\) | −2.83367 | + | 5.88417i | −0.295430 | + | 0.613467i | ||||
\(93\) | 0.998038 | + | 5.67084i | 0.103492 | + | 0.588039i | ||||
\(94\) | −0.913137 | + | 0.984128i | −0.0941829 | + | 0.101505i | ||||
\(95\) | 10.7183 | + | 0.803225i | 1.09967 | + | 0.0824092i | ||||
\(96\) | −1.59626 | + | 0.672274i | −0.162918 | + | 0.0686137i | ||||
\(97\) | 13.3614i | 1.35664i | 0.734765 | + | 0.678322i | \(0.237293\pi\) | ||||
−0.734765 | + | 0.678322i | \(0.762707\pi\) | |||||||
\(98\) | −2.84343 | + | 6.39648i | −0.287230 | + | 0.646142i | ||||
\(99\) | 13.1222 | + | 0.335709i | 1.31883 | + | 0.0337400i | ||||
\(100\) | 0.469963 | − | 1.19745i | 0.0469963 | − | 0.119745i | ||||
\(101\) | 0.135976 | − | 1.81447i | 0.0135301 | − | 0.180546i | −0.986344 | − | 0.164696i | \(-0.947336\pi\) |
0.999874 | − | 0.0158499i | \(-0.00504538\pi\) | |||||||
\(102\) | −0.122150 | − | 4.96224i | −0.0120947 | − | 0.491335i | ||||
\(103\) | 4.50901 | − | 6.61350i | 0.444286 | − | 0.651648i | −0.537139 | − | 0.843494i | \(-0.680495\pi\) |
0.981425 | + | 0.191846i | \(0.0614474\pi\) | |||||||
\(104\) | 3.13652 | + | 1.51047i | 0.307561 | + | 0.148113i | ||||
\(105\) | 6.70780 | + | 5.74384i | 0.654614 | + | 0.560541i | ||||
\(106\) | −4.65779 | + | 2.24307i | −0.452405 | + | 0.217867i | ||||
\(107\) | −1.64012 | + | 10.8815i | −0.158556 | + | 1.05195i | 0.758060 | + | 0.652184i | \(0.226147\pi\) |
−0.916617 | + | 0.399767i | \(0.869091\pi\) | |||||||
\(108\) | 5.06475 | + | 1.16115i | 0.487356 | + | 0.111732i | ||||
\(109\) | −15.7605 | + | 2.37552i | −1.50959 | + | 0.227533i | −0.851078 | − | 0.525040i | \(-0.824050\pi\) |
−0.658508 | + | 0.752573i | \(0.728812\pi\) | |||||||
\(110\) | 6.18102 | − | 5.73515i | 0.589337 | − | 0.546825i | ||||
\(111\) | −16.6097 | − | 2.08691i | −1.57653 | − | 0.198081i | ||||
\(112\) | 1.96669 | + | 1.76978i | 0.185835 | + | 0.167229i | ||||
\(113\) | −15.2416 | − | 12.1547i | −1.43381 | − | 1.14342i | −0.965672 | − | 0.259764i | \(-0.916355\pi\) |
−0.468133 | − | 0.883658i | \(-0.655073\pi\) | |||||||
\(114\) | −7.24126 | − | 6.39460i | −0.678206 | − | 0.598909i | ||||
\(115\) | 3.70968 | − | 12.0265i | 0.345929 | − | 1.12148i | ||||
\(116\) | −5.59125 | − | 3.22811i | −0.519135 | − | 0.299722i | ||||
\(117\) | −4.98888 | − | 9.17520i | −0.461222 | − | 0.848247i | ||||
\(118\) | −1.87826 | + | 0.428700i | −0.172908 | + | 0.0394650i | ||||
\(119\) | −6.78039 | + | 3.39361i | −0.621558 | + | 0.311092i | ||||
\(120\) | 2.84867 | − | 1.73953i | 0.260047 | − | 0.158796i | ||||
\(121\) | −7.78302 | + | 2.40074i | −0.707547 | + | 0.218249i | ||||
\(122\) | 5.35935 | + | 13.6554i | 0.485212 | + | 1.23630i | ||||
\(123\) | 10.1616 | + | 4.58904i | 0.916242 | + | 0.413780i | ||||
\(124\) | −0.979878 | − | 3.17669i | −0.0879957 | − | 0.285275i | ||||
\(125\) | −2.69569 | + | 11.8106i | −0.241110 | + | 1.05637i | ||||
\(126\) | −1.68620 | − | 7.75608i | −0.150219 | − | 0.690966i | ||||
\(127\) | −2.43999 | − | 10.6903i | −0.216515 | − | 0.948612i | −0.960031 | − | 0.279894i | \(-0.909701\pi\) |
0.743516 | − | 0.668718i | \(-0.233157\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 0.267731 | + | 1.05287i | 0.0235724 | + | 0.0926996i | ||||
\(130\) | −6.41063 | − | 1.97742i | −0.562250 | − | 0.173431i | ||||
\(131\) | −0.338698 | − | 4.51961i | −0.0295922 | − | 0.394880i | −0.992259 | − | 0.124190i | \(-0.960367\pi\) |
0.962666 | − | 0.270691i | \(-0.0872521\pi\) | |||||||
\(132\) | −7.54115 | + | 0.752151i | −0.656373 | + | 0.0654664i | ||||
\(133\) | −4.13408 | + | 14.1659i | −0.358470 | + | 1.22834i | ||||
\(134\) | −3.90337 | + | 3.11284i | −0.337200 | + | 0.268908i | ||||
\(135\) | −9.98467 | − | 0.757954i | −0.859343 | − | 0.0652343i | ||||
\(136\) | 0.427128 | + | 2.83381i | 0.0366259 | + | 0.242997i | ||||
\(137\) | −3.81896 | − | 5.60138i | −0.326276 | − | 0.478559i | 0.627695 | − | 0.778460i | \(-0.283999\pi\) |
−0.953970 | + | 0.299901i | \(0.903046\pi\) | |||||||
\(138\) | −9.18670 | + | 6.60030i | −0.782024 | + | 0.561855i | ||||
\(139\) | −5.52085 | − | 11.4642i | −0.468272 | − | 0.972377i | −0.992665 | − | 0.120901i | \(-0.961422\pi\) |
0.524392 | − | 0.851477i | \(-0.324293\pi\) | |||||||
\(140\) | −4.25595 | − | 2.80755i | −0.359693 | − | 0.237281i | ||||
\(141\) | −2.20445 | + | 0.739864i | −0.185648 | + | 0.0623078i | ||||
\(142\) | −7.05476 | − | 4.80986i | −0.592023 | − | 0.403634i | ||||
\(143\) | 11.1660 | + | 10.3606i | 0.933750 | + | 0.866394i | ||||
\(144\) | −2.98490 | − | 0.300627i | −0.248742 | − | 0.0250523i | ||||
\(145\) | 11.5816 | + | 4.54544i | 0.961799 | + | 0.377478i | ||||
\(146\) | −11.5177 | −0.953216 | ||||||||
\(147\) | −9.62617 | + | 7.37135i | −0.793953 | + | 0.607979i | ||||
\(148\) | 9.66504 | 0.794461 | ||||||||
\(149\) | 5.61292 | + | 2.20291i | 0.459829 | + | 0.180469i | 0.583937 | − | 0.811799i | \(-0.301512\pi\) |
−0.124108 | + | 0.992269i | \(0.539607\pi\) | |||||||
\(150\) | 1.70725 | − | 1.43162i | 0.139396 | − | 0.116891i | ||||
\(151\) | 8.00589 | + | 7.42838i | 0.651510 | + | 0.604513i | 0.935079 | − | 0.354439i | \(-0.115328\pi\) |
−0.283569 | + | 0.958952i | \(0.591519\pi\) | |||||||
\(152\) | 4.60838 | + | 3.14194i | 0.373789 | + | 0.254845i | ||||
\(153\) | 3.92718 | − | 7.64810i | 0.317494 | − | 0.618312i | ||||
\(154\) | 5.94045 | + | 9.93606i | 0.478695 | + | 0.800670i | ||||
\(155\) | 2.77961 | + | 5.77191i | 0.223263 | + | 0.463611i | ||||
\(156\) | 3.51824 | + | 4.89691i | 0.281685 | + | 0.392066i | ||||
\(157\) | −13.0248 | − | 19.1038i | −1.03949 | − | 1.52465i | −0.838384 | − | 0.545081i | \(-0.816499\pi\) |
−0.201105 | − | 0.979570i | \(-0.564453\pi\) | |||||||
\(158\) | −0.131536 | − | 0.872684i | −0.0104644 | − | 0.0694270i | ||||
\(159\) | −8.94301 | − | 0.449216i | −0.709227 | − | 0.0356251i | ||||
\(160\) | −1.50665 | + | 1.20151i | −0.119111 | + | 0.0949880i | ||||
\(161\) | 15.0943 | + | 8.41040i | 1.18960 | + | 0.662832i | ||||
\(162\) | 6.74035 | + | 5.96387i | 0.529572 | + | 0.468566i | ||||
\(163\) | 0.985326 | + | 13.1483i | 0.0771767 | + | 1.02985i | 0.892560 | + | 0.450929i | \(0.148907\pi\) |
−0.815383 | + | 0.578922i | \(0.803474\pi\) | |||||||
\(164\) | −6.15134 | − | 1.89744i | −0.480339 | − | 0.148165i | ||||
\(165\) | 14.1540 | − | 3.59920i | 1.10189 | − | 0.280198i | ||||
\(166\) | −9.11857 | + | 5.26461i | −0.707738 | + | 0.408613i | ||||
\(167\) | −2.18483 | − | 9.57234i | −0.169067 | − | 0.740730i | −0.986373 | − | 0.164526i | \(-0.947391\pi\) |
0.817306 | − | 0.576204i | \(-0.195467\pi\) | |||||||
\(168\) | 1.52418 | + | 4.32168i | 0.117593 | + | 0.333425i | ||||
\(169\) | −0.195986 | + | 0.858670i | −0.0150758 | + | 0.0660515i | ||||
\(170\) | −1.62783 | − | 5.27730i | −0.124849 | − | 0.404750i | ||||
\(171\) | −5.71276 | − | 15.7272i | −0.436865 | − | 1.20269i | ||||
\(172\) | −0.229148 | − | 0.583860i | −0.0174724 | − | 0.0445189i | ||||
\(173\) | 9.42829 | − | 2.90824i | 0.716820 | − | 0.221110i | 0.0851732 | − | 0.996366i | \(-0.472856\pi\) |
0.631646 | + | 0.775257i | \(0.282379\pi\) | |||||||
\(174\) | −5.82787 | − | 9.54380i | −0.441810 | − | 0.723514i | ||||
\(175\) | −3.08853 | − | 1.42975i | −0.233471 | − | 0.108079i | ||||
\(176\) | 4.26578 | − | 0.973637i | 0.321546 | − | 0.0733907i | ||||
\(177\) | −3.21189 | − | 0.904803i | −0.241420 | − | 0.0680092i | ||||
\(178\) | −1.64111 | − | 0.947495i | −0.123006 | − | 0.0710178i | ||||
\(179\) | 3.25575 | − | 10.5549i | 0.243346 | − | 0.788909i | −0.748686 | − | 0.662925i | \(-0.769315\pi\) |
0.992032 | − | 0.125984i | \(-0.0402088\pi\) | |||||||
\(180\) | 5.77423 | − | 0.284450i | 0.430386 | − | 0.0212016i | ||||
\(181\) | 1.06069 | + | 0.845872i | 0.0788405 | + | 0.0628732i | 0.662117 | − | 0.749400i | \(-0.269658\pi\) |
−0.583277 | + | 0.812274i | \(0.698230\pi\) | |||||||
\(182\) | 4.48310 | − | 8.04590i | 0.332310 | − | 0.596402i | ||||
\(183\) | −3.16747 | + | 25.2100i | −0.234146 | + | 1.86358i | ||||
\(184\) | 4.78752 | − | 4.44216i | 0.352940 | − | 0.327481i | ||||
\(185\) | −18.4173 | + | 2.77595i | −1.35406 | + | 0.204092i | ||||
\(186\) | 1.14274 | − | 5.64346i | 0.0837900 | − | 0.413799i | ||||
\(187\) | −1.86889 | + | 12.3993i | −0.136667 | + | 0.906726i | ||||
\(188\) | 1.20956 | − | 0.582492i | 0.0882161 | − | 0.0424826i | ||||
\(189\) | 3.86415 | − | 13.1935i | 0.281076 | − | 0.959686i | ||||
\(190\) | −9.68393 | − | 4.66353i | −0.702546 | − | 0.338328i | ||||
\(191\) | 4.20572 | − | 6.16866i | 0.304315 | − | 0.446349i | −0.643370 | − | 0.765556i | \(-0.722464\pi\) |
0.947685 | + | 0.319207i | \(0.103417\pi\) | |||||||
\(192\) | 1.73153 | − | 0.0426233i | 0.124962 | − | 0.00307607i | ||||
\(193\) | −1.05602 | + | 14.0916i | −0.0760141 | + | 1.01434i | 0.820594 | + | 0.571512i | \(0.193643\pi\) |
−0.896608 | + | 0.442826i | \(0.853976\pi\) | |||||||
\(194\) | 4.88147 | − | 12.4378i | 0.350469 | − | 0.892980i | ||||
\(195\) | −8.11068 | − | 8.32083i | −0.580818 | − | 0.595867i | ||||
\(196\) | 4.98377 | − | 4.91549i | 0.355984 | − | 0.351106i | ||||
\(197\) | − | 15.5486i | − | 1.10779i | −0.832586 | − | 0.553896i | \(-0.813141\pi\) | ||
0.832586 | − | 0.553896i | \(-0.186859\pi\) | |||||||
\(198\) | −12.0924 | − | 5.10657i | −0.859372 | − | 0.362908i | ||||
\(199\) | 10.7443 | + | 0.805177i | 0.761646 | + | 0.0570775i | 0.449889 | − | 0.893084i | \(-0.351464\pi\) |
0.311757 | + | 0.950162i | \(0.399083\pi\) | |||||||
\(200\) | −0.874953 | + | 0.942975i | −0.0618685 | + | 0.0666784i | ||||
\(201\) | −8.51655 | + | 1.49887i | −0.600711 | + | 0.105722i | ||||
\(202\) | −0.789475 | + | 1.63936i | −0.0555473 | + | 0.115345i | ||||
\(203\) | −9.40602 | + | 14.2585i | −0.660173 | + | 1.00075i | ||||
\(204\) | −1.69920 | + | 4.66384i | −0.118968 | + | 0.326534i | ||||
\(205\) | 12.2667 | + | 1.84891i | 0.856743 | + | 0.129133i | ||||
\(206\) | −6.61350 | + | 4.50901i | −0.460784 | + | 0.314157i | ||||
\(207\) | −19.4423 | + | 2.42371i | −1.35133 | + | 0.168460i | ||||
\(208\) | −2.36787 | − | 2.55195i | −0.164182 | − | 0.176946i | ||||
\(209\) | 15.2159 | + | 19.0802i | 1.05251 | + | 1.31980i | ||||
\(210\) | −4.14565 | − | 7.79742i | −0.286077 | − | 0.538073i | ||||
\(211\) | −6.01190 | + | 7.53869i | −0.413876 | + | 0.518985i | −0.944450 | − | 0.328654i | \(-0.893405\pi\) |
0.530574 | + | 0.847639i | \(0.321976\pi\) | |||||||
\(212\) | 5.15530 | − | 0.386336i | 0.354068 | − | 0.0265337i | ||||
\(213\) | −6.74264 | − | 13.1624i | −0.461998 | − | 0.901876i | ||||
\(214\) | 5.50219 | − | 9.53007i | 0.376122 | − | 0.651462i | ||||
\(215\) | 0.604349 | + | 1.04676i | 0.0412162 | + | 0.0713886i | ||||
\(216\) | −4.29043 | − | 2.93125i | −0.291927 | − | 0.199446i | ||||
\(217\) | −8.54411 | + | 2.08773i | −0.580012 | + | 0.141724i | ||||
\(218\) | 15.5389 | + | 3.54666i | 1.05243 | + | 0.240210i | ||||
\(219\) | −17.5169 | − | 9.54649i | −1.18368 | − | 0.645092i | ||||
\(220\) | −7.84904 | + | 3.08052i | −0.529182 | + | 0.207689i | ||||
\(221\) | 9.28703 | − | 3.64489i | 0.624714 | − | 0.245182i | ||||
\(222\) | 14.6991 | + | 8.01087i | 0.986542 | + | 0.537654i | ||||
\(223\) | 13.9753 | + | 3.18977i | 0.935855 | + | 0.213603i | 0.663143 | − | 0.748493i | \(-0.269222\pi\) |
0.272712 | + | 0.962096i | \(0.412079\pi\) | |||||||
\(224\) | −1.18417 | − | 2.36596i | −0.0791206 | − | 0.158082i | ||||
\(225\) | 3.78308 | − | 0.762229i | 0.252205 | − | 0.0508153i | ||||
\(226\) | 9.74735 | + | 16.8829i | 0.648384 | + | 1.12303i | ||||
\(227\) | −5.18143 | + | 8.97450i | −0.343903 | + | 0.595658i | −0.985154 | − | 0.171673i | \(-0.945083\pi\) |
0.641251 | + | 0.767332i | \(0.278416\pi\) | |||||||
\(228\) | 4.40449 | + | 8.59809i | 0.291694 | + | 0.569423i | ||||
\(229\) | 4.50798 | − | 0.337827i | 0.297896 | − | 0.0223242i | 0.0750562 | − | 0.997179i | \(-0.476086\pi\) |
0.222840 | + | 0.974855i | \(0.428467\pi\) | |||||||
\(230\) | −7.84701 | + | 9.83984i | −0.517417 | + | 0.648820i | ||||
\(231\) | 0.799068 | + | 20.0351i | 0.0525748 | + | 1.31821i | ||||
\(232\) | 4.02539 | + | 5.04768i | 0.264280 | + | 0.331396i | ||||
\(233\) | 17.0290 | + | 18.3529i | 1.11561 | + | 1.20234i | 0.977281 | + | 0.211950i | \(0.0679813\pi\) |
0.138325 | + | 0.990387i | \(0.455828\pi\) | |||||||
\(234\) | 1.29194 | + | 10.3636i | 0.0844570 | + | 0.677489i | ||||
\(235\) | −2.13758 | + | 1.45738i | −0.139440 | + | 0.0950687i | ||||
\(236\) | 1.90504 | + | 0.287139i | 0.124008 | + | 0.0186912i | ||||
\(237\) | 0.523277 | − | 1.43625i | 0.0339905 | − | 0.0932945i | ||||
\(238\) | 7.55152 | − | 0.681867i | 0.489492 | − | 0.0441989i | ||||
\(239\) | 8.31301 | − | 17.2621i | 0.537724 | − | 1.11660i | −0.438279 | − | 0.898839i | \(-0.644412\pi\) |
0.976003 | − | 0.217756i | \(-0.0698738\pi\) | |||||||
\(240\) | −3.28728 | + | 0.578543i | −0.212193 | + | 0.0373448i | ||||
\(241\) | −8.23876 | + | 8.87928i | −0.530705 | + | 0.571964i | −0.940319 | − | 0.340295i | \(-0.889473\pi\) |
0.409613 | + | 0.912259i | \(0.365664\pi\) | |||||||
\(242\) | 8.12210 | + | 0.608667i | 0.522108 | + | 0.0391266i | ||||
\(243\) | 5.30796 | + | 14.6569i | 0.340506 | + | 0.940242i | ||||
\(244\) | − | 14.6694i | − | 0.939114i | ||||||
\(245\) | −8.08504 | + | 10.7982i | −0.516534 | + | 0.689869i | ||||
\(246\) | −7.78262 | − | 7.98427i | −0.496202 | − | 0.509059i | ||||
\(247\) | 7.09380 | − | 18.0747i | 0.451367 | − | 1.15007i | ||||
\(248\) | −0.248431 | + | 3.31508i | −0.0157754 | + | 0.210508i | ||||
\(249\) | −18.2316 | + | 0.448790i | −1.15538 | + | 0.0284409i | ||||
\(250\) | 6.82424 | − | 10.0093i | 0.431603 | − | 0.633045i | ||||
\(251\) | 7.02560 | + | 3.38335i | 0.443452 | + | 0.213555i | 0.642266 | − | 0.766482i | \(-0.277995\pi\) |
−0.198814 | + | 0.980037i | \(0.563709\pi\) | |||||||
\(252\) | −1.26397 | + | 7.83597i | −0.0796226 | + | 0.493620i | ||||
\(253\) | 25.7461 | − | 12.3987i | 1.61864 | − | 0.779498i | ||||
\(254\) | −1.63428 | + | 10.8428i | −0.102544 | + | 0.680335i | ||||
\(255\) | 1.89839 | − | 9.37525i | 0.118882 | − | 0.587101i | ||||
\(256\) | −0.988831 | + | 0.149042i | −0.0618019 | + | 0.00931514i | ||||
\(257\) | 8.29617 | − | 7.69772i | 0.517501 | − | 0.480171i | −0.377641 | − | 0.925952i | \(-0.623265\pi\) |
0.895142 | + | 0.445781i | \(0.147074\pi\) | |||||||
\(258\) | 0.135431 | − | 1.07790i | 0.00843156 | − | 0.0671070i | ||||
\(259\) | 1.52183 | − | 25.5260i | 0.0945621 | − | 1.58611i | ||||
\(260\) | 5.24506 | + | 4.18280i | 0.325285 | + | 0.259406i | ||||
\(261\) | −0.952981 | − | 19.3452i | −0.0589880 | − | 1.19744i | ||||
\(262\) | −1.33591 | + | 4.33093i | −0.0825331 | + | 0.267566i | ||||
\(263\) | −21.3092 | − | 12.3029i | −1.31398 | − | 0.758627i | −0.331228 | − | 0.943551i | \(-0.607463\pi\) |
−0.982753 | + | 0.184924i | \(0.940796\pi\) | |||||||
\(264\) | 7.29465 | + | 2.05493i | 0.448955 | + | 0.126472i | ||||
\(265\) | −9.71275 | + | 2.21687i | −0.596649 | + | 0.136181i | ||||
\(266\) | 9.02368 | − | 11.6763i | 0.553277 | − | 0.715919i | ||||
\(267\) | −1.71056 | − | 2.80124i | −0.104685 | − | 0.171433i | ||||
\(268\) | 4.77080 | − | 1.47160i | 0.291423 | − | 0.0898920i | ||||
\(269\) | 3.51543 | + | 8.95717i | 0.214340 | + | 0.546128i | 0.997092 | − | 0.0762047i | \(-0.0242803\pi\) |
−0.782753 | + | 0.622333i | \(0.786185\pi\) | |||||||
\(270\) | 9.01755 | + | 4.35337i | 0.548791 | + | 0.264938i | ||||
\(271\) | −6.15735 | − | 19.9616i | −0.374032 | − | 1.21258i | −0.925616 | − | 0.378463i | \(-0.876453\pi\) |
0.551584 | − | 0.834119i | \(-0.314024\pi\) | |||||||
\(272\) | 0.637704 | − | 2.79396i | 0.0386665 | − | 0.169409i | ||||
\(273\) | 13.4870 | − | 8.52084i | 0.816271 | − | 0.515705i | ||||
\(274\) | 1.50855 | + | 6.60940i | 0.0911350 | + | 0.399289i | ||||
\(275\) | −4.87441 | + | 2.81424i | −0.293938 | + | 0.169705i | ||||
\(276\) | 10.9630 | − | 2.78777i | 0.659896 | − | 0.167804i | ||||
\(277\) | 30.8897 | + | 9.52820i | 1.85598 | + | 0.572494i | 0.998298 | + | 0.0583143i | \(0.0185725\pi\) |
0.857682 | + | 0.514180i | \(0.171904\pi\) | |||||||
\(278\) | 0.950885 | + | 12.6887i | 0.0570303 | + | 0.761016i | ||||
\(279\) | 6.41553 | − | 7.63573i | 0.384088 | − | 0.457139i | ||||
\(280\) | 2.93604 | + | 4.16834i | 0.175462 | + | 0.249106i | ||||
\(281\) | 14.9147 | − | 11.8941i | 0.889738 | − | 0.709542i | −0.0678463 | − | 0.997696i | \(-0.521613\pi\) |
0.957584 | + | 0.288153i | \(0.0930413\pi\) | |||||||
\(282\) | 2.32236 | + | 0.116655i | 0.138295 | + | 0.00694668i | ||||
\(283\) | −0.0602975 | − | 0.400048i | −0.00358432 | − | 0.0237804i | 0.986967 | − | 0.160922i | \(-0.0514467\pi\) |
−0.990551 | + | 0.137141i | \(0.956209\pi\) | |||||||
\(284\) | 4.80986 | + | 7.05476i | 0.285412 | + | 0.418623i | ||||
\(285\) | −10.8625 | − | 15.1191i | −0.643439 | − | 0.895578i | ||||
\(286\) | −6.60903 | − | 13.7238i | −0.390800 | − | 0.811504i | ||||
\(287\) | −5.97982 | + | 15.9473i | −0.352978 | + | 0.941340i | ||||
\(288\) | 2.66873 | + | 1.37035i | 0.157257 | + | 0.0807488i | ||||
\(289\) | −7.26024 | − | 4.94995i | −0.427073 | − | 0.291173i | ||||
\(290\) | −9.12037 | − | 8.46247i | −0.535566 | − | 0.496933i | ||||
\(291\) | 17.7331 | − | 14.8701i | 1.03953 | − | 0.871699i | ||||
\(292\) | 10.7216 | + | 4.20791i | 0.627432 | + | 0.246249i | ||||
\(293\) | 1.58808 | 0.0927765 | 0.0463882 | − | 0.998923i | \(-0.485229\pi\) | ||||
0.0463882 | + | 0.998923i | \(0.485229\pi\) | |||||||
\(294\) | 11.6538 | − | 3.34496i | 0.679664 | − | 0.195082i | ||||
\(295\) | −3.71263 | −0.216158 | ||||||||
\(296\) | −8.99693 | − | 3.53103i | −0.522936 | − | 0.205237i | ||||
\(297\) | −14.1583 | − | 17.7892i | −0.821547 | − | 1.03223i | ||||
\(298\) | −4.42011 | − | 4.10126i | −0.256050 | − | 0.237580i | ||||
\(299\) | −18.7853 | − | 12.8076i | −1.08638 | − | 0.740684i | ||||
\(300\) | −2.11226 | + | 0.708925i | −0.121952 | + | 0.0409298i | ||||
\(301\) | −1.57809 | + | 0.513262i | −0.0909597 | + | 0.0295839i | ||||
\(302\) | −4.73858 | − | 9.83976i | −0.272675 | − | 0.566215i | ||||
\(303\) | −2.55947 | + | 1.83888i | −0.147037 | + | 0.105641i | ||||
\(304\) | −3.14194 | − | 4.60838i | −0.180203 | − | 0.264309i | ||||
\(305\) | 4.21330 | + | 27.9534i | 0.241253 | + | 1.60061i | ||||
\(306\) | −6.44987 | + | 5.68466i | −0.368715 | + | 0.324970i | ||||
\(307\) | 6.07033 | − | 4.84092i | 0.346452 | − | 0.276286i | −0.434767 | − | 0.900543i | \(-0.643169\pi\) |
0.781219 | + | 0.624257i | \(0.214598\pi\) | |||||||
\(308\) | −1.89976 | − | 11.4195i | −0.108249 | − | 0.650687i | ||||
\(309\) | −13.7955 | + | 1.37596i | −0.784798 | + | 0.0782754i | ||||
\(310\) | −0.478746 | − | 6.38843i | −0.0271910 | − | 0.362838i | ||||
\(311\) | 19.0510 | + | 5.87646i | 1.08028 | + | 0.333223i | 0.783290 | − | 0.621656i | \(-0.213540\pi\) |
0.296993 | + | 0.954880i | \(0.404016\pi\) | |||||||
\(312\) | −1.48600 | − | 5.84376i | −0.0841282 | − | 0.330838i | ||||
\(313\) | −11.2879 | + | 6.51706i | −0.638029 | + | 0.368366i | −0.783855 | − | 0.620944i | \(-0.786749\pi\) |
0.145826 | + | 0.989310i | \(0.453416\pi\) | |||||||
\(314\) | 5.14500 | + | 22.5417i | 0.290349 | + | 1.27210i | ||||
\(315\) | 0.157947 | − | 15.2949i | 0.00889933 | − | 0.861770i | ||||
\(316\) | −0.196384 | + | 0.860414i | −0.0110475 | + | 0.0484021i | ||||
\(317\) | −4.56335 | − | 14.7940i | −0.256303 | − | 0.830915i | −0.988683 | − | 0.150019i | \(-0.952067\pi\) |
0.732380 | − | 0.680896i | \(-0.238410\pi\) | |||||||
\(318\) | 8.16069 | + | 3.68541i | 0.457629 | + | 0.206668i | ||||
\(319\) | 10.3206 | + | 26.2963i | 0.577840 | + | 1.47231i | ||||
\(320\) | 1.84146 | − | 0.568016i | 0.102941 | − | 0.0317531i | ||||
\(321\) | 16.2671 | − | 9.93339i | 0.907938 | − | 0.554428i | ||||
\(322\) | −10.9782 | − | 13.3436i | −0.611791 | − | 0.743608i | ||||
\(323\) | 15.5834 | − | 3.55682i | 0.867086 | − | 0.197907i | ||||
\(324\) | −4.09557 | − | 8.01413i | −0.227532 | − | 0.445230i | ||||
\(325\) | 3.87823 | + | 2.23910i | 0.215126 | + | 0.124203i | ||||
\(326\) | 3.88639 | − | 12.5994i | 0.215247 | − | 0.697814i | ||||
\(327\) | 20.6929 | + | 18.2734i | 1.14432 | + | 1.01052i | ||||
\(328\) | 5.03291 | + | 4.01361i | 0.277896 | + | 0.221615i | ||||
\(329\) | −1.34794 | − | 3.28624i | −0.0743146 | − | 0.181176i | ||||
\(330\) | −14.4906 | − | 1.82065i | −0.797679 | − | 0.100223i | ||||
\(331\) | −4.20048 | + | 3.89747i | −0.230879 | + | 0.214224i | −0.787125 | − | 0.616793i | \(-0.788432\pi\) |
0.556246 | + | 0.831017i | \(0.312241\pi\) | |||||||
\(332\) | 10.4116 | − | 1.56930i | 0.571412 | − | 0.0861265i | ||||
\(333\) | 15.7155 | + | 24.3668i | 0.861204 | + | 1.33529i | ||||
\(334\) | −1.46337 | + | 9.70885i | −0.0800722 | + | 0.531245i | ||||
\(335\) | −8.66835 | + | 4.17446i | −0.473602 | + | 0.228075i | ||||
\(336\) | 0.160071 | − | 4.57978i | 0.00873259 | − | 0.249847i | ||||
\(337\) | −22.0235 | − | 10.6060i | −1.19970 | − | 0.577743i | −0.276107 | − | 0.961127i | \(-0.589044\pi\) |
−0.923589 | + | 0.383383i | \(0.874759\pi\) | |||||||
\(338\) | 0.496145 | − | 0.727712i | 0.0269868 | − | 0.0395823i | ||||
\(339\) | 0.830927 | + | 33.7556i | 0.0451298 | + | 1.83335i | ||||
\(340\) | −0.412708 | + | 5.50721i | −0.0223823 | + | 0.298670i | ||||
\(341\) | −5.31417 | + | 13.5403i | −0.287778 | + | 0.733247i | ||||
\(342\) | −0.427936 | + | 16.7271i | −0.0231401 | + | 0.904500i | ||||
\(343\) | −12.1974 | − | 13.9364i | −0.658597 | − | 0.752496i | ||||
\(344\) | 0.627217i | 0.0338173i | ||||||||
\(345\) | −20.0899 | + | 8.46100i | −1.08161 | + | 0.455525i | ||||
\(346\) | −9.83905 | − | 0.737335i | −0.528951 | − | 0.0396394i | ||||
\(347\) | −14.0500 | + | 15.1423i | −0.754246 | + | 0.812883i | −0.987180 | − | 0.159609i | \(-0.948977\pi\) |
0.232935 | + | 0.972492i | \(0.425167\pi\) | |||||||
\(348\) | 1.93827 | + | 11.0132i | 0.103902 | + | 0.590372i | ||||
\(349\) | −3.45435 | + | 7.17303i | −0.184907 | + | 0.383964i | −0.972731 | − | 0.231937i | \(-0.925494\pi\) |
0.787824 | + | 0.615901i | \(0.211208\pi\) | |||||||
\(350\) | 2.35269 | + | 2.45928i | 0.125756 | + | 0.131454i | ||||
\(351\) | −6.62501 | + | 16.8324i | −0.353617 | + | 0.898446i | ||||
\(352\) | −4.32662 | − | 0.652132i | −0.230609 | − | 0.0347588i | ||||
\(353\) | −28.1100 | + | 19.1651i | −1.49615 | + | 1.02006i | −0.508906 | + | 0.860822i | \(0.669950\pi\) |
−0.987241 | + | 0.159233i | \(0.949098\pi\) | |||||||
\(354\) | 2.65930 | + | 2.01569i | 0.141340 | + | 0.107133i | ||||
\(355\) | −11.1917 | − | 12.0618i | −0.593993 | − | 0.640172i | ||||
\(356\) | 1.18151 | + | 1.48156i | 0.0626198 | + | 0.0785227i | ||||
\(357\) | 12.0499 | + | 5.22205i | 0.637751 | + | 0.276380i | ||||
\(358\) | −6.88682 | + | 8.63580i | −0.363980 | + | 0.456416i | ||||
\(359\) | 10.1473 | − | 0.760433i | 0.535552 | − | 0.0401341i | 0.195791 | − | 0.980646i | \(-0.437273\pi\) |
0.339762 | + | 0.940512i | \(0.389654\pi\) | |||||||
\(360\) | −5.47900 | − | 1.84478i | −0.288769 | − | 0.0972283i | ||||
\(361\) | 6.05446 | − | 10.4866i | 0.318656 | − | 0.551928i | ||||
\(362\) | −0.678337 | − | 1.17491i | −0.0356526 | − | 0.0617521i | ||||
\(363\) | 11.8481 | + | 7.65770i | 0.621862 | + | 0.401925i | ||||
\(364\) | −7.11270 | + | 5.85186i | −0.372807 | + | 0.306721i | ||||
\(365\) | −21.6391 | − | 4.93899i | −1.13264 | − | 0.258518i | ||||
\(366\) | 12.1588 | − | 22.3101i | 0.635549 | − | 1.16617i | ||||
\(367\) | 1.79502 | − | 0.704495i | 0.0936994 | − | 0.0367743i | −0.318028 | − | 0.948081i | \(-0.603021\pi\) |
0.411728 | + | 0.911307i | \(0.364925\pi\) | |||||||
\(368\) | −6.07948 | + | 2.38602i | −0.316915 | + | 0.124380i | ||||
\(369\) | −5.21849 | − | 18.5936i | −0.271664 | − | 0.967943i | ||||
\(370\) | 18.1583 | + | 4.14452i | 0.944006 | + | 0.215463i | ||||
\(371\) | −0.208598 | − | 13.6763i | −0.0108299 | − | 0.710038i | ||||
\(372\) | −3.12554 | + | 4.83586i | −0.162052 | + | 0.250728i | ||||
\(373\) | 3.13256 | + | 5.42575i | 0.162198 | + | 0.280935i | 0.935657 | − | 0.352912i | \(-0.114808\pi\) |
−0.773459 | + | 0.633847i | \(0.781475\pi\) | |||||||
\(374\) | 6.26967 | − | 10.8594i | 0.324197 | − | 0.561526i | ||||
\(375\) | 18.6749 | − | 9.56648i | 0.964369 | − | 0.494011i | ||||
\(376\) | −1.33875 | + | 0.100326i | −0.0690410 | + | 0.00517391i | ||||
\(377\) | 14.0135 | − | 17.5723i | 0.721730 | − | 0.905021i | ||||
\(378\) | −8.41716 | + | 10.8697i | −0.432932 | + | 0.559079i | ||||
\(379\) | −3.65672 | − | 4.58538i | −0.187833 | − | 0.235535i | 0.678994 | − | 0.734143i | \(-0.262416\pi\) |
−0.866827 | + | 0.498608i | \(0.833845\pi\) | |||||||
\(380\) | 7.31074 | + | 7.87910i | 0.375033 | + | 0.404189i | ||||
\(381\) | −11.4725 | + | 15.1357i | −0.587756 | + | 0.775426i | ||||
\(382\) | −6.16866 | + | 4.20572i | −0.315616 | + | 0.215183i | ||||
\(383\) | −5.61543 | − | 0.846390i | −0.286935 | − | 0.0432485i | 0.00399759 | − | 0.999992i | \(-0.498728\pi\) |
−0.290933 | + | 0.956743i | \(0.593966\pi\) | |||||||
\(384\) | −1.62740 | − | 0.592921i | −0.0830481 | − | 0.0302574i | ||||
\(385\) | 6.89996 | + | 21.2148i | 0.351654 | + | 1.08121i | ||||
\(386\) | 6.13128 | − | 12.7317i | 0.312074 | − | 0.648028i | ||||
\(387\) | 1.09939 | − | 1.52708i | 0.0558850 | − | 0.0776257i | ||||
\(388\) | −9.08806 | + | 9.79460i | −0.461376 | + | 0.497245i | ||||
\(389\) | −32.8598 | − | 2.46250i | −1.66606 | − | 0.124854i | −0.791949 | − | 0.610587i | \(-0.790933\pi\) |
−0.874107 | + | 0.485734i | \(0.838553\pi\) | |||||||
\(390\) | 4.51008 | + | 10.7088i | 0.228377 | + | 0.542261i | ||||
\(391\) | − | 18.7165i | − | 0.946532i | ||||||
\(392\) | −6.43509 | + | 2.75493i | −0.325021 | + | 0.139145i | ||||
\(393\) | −5.62143 | + | 5.47945i | −0.283564 | + | 0.276402i | ||||
\(394\) | −5.68054 | + | 14.4738i | −0.286181 | + | 0.729178i | ||||
\(395\) | 0.127095 | − | 1.69597i | 0.00639486 | − | 0.0853335i | ||||
\(396\) | 9.39089 | + | 9.17143i | 0.471910 | + | 0.460882i | ||||
\(397\) | −7.80113 | + | 11.4422i | −0.391527 | + | 0.574265i | −0.970506 | − | 0.241078i | \(-0.922499\pi\) |
0.578978 | + | 0.815343i | \(0.303452\pi\) | |||||||
\(398\) | −9.70746 | − | 4.67486i | −0.486591 | − | 0.234330i | ||||
\(399\) | 23.4016 | − | 10.2787i | 1.17155 | − | 0.514578i | ||||
\(400\) | 1.15898 | − | 0.558134i | 0.0579489 | − | 0.0279067i | ||||
\(401\) | 3.78241 | − | 25.0947i | 0.188885 | − | 1.25317i | −0.670528 | − | 0.741884i | \(-0.733932\pi\) |
0.859412 | − | 0.511283i | \(-0.170830\pi\) | |||||||
\(402\) | 8.47543 | + | 1.71619i | 0.422716 | + | 0.0855957i | ||||
\(403\) | 11.4438 | − | 1.72488i | 0.570057 | − | 0.0859222i | ||||
\(404\) | 1.33383 | − | 1.23761i | 0.0663604 | − | 0.0615735i | ||||
\(405\) | 10.1061 | + | 14.0951i | 0.502177 | + | 0.700389i | ||||
\(406\) | 13.9651 | − | 9.83650i | 0.693074 | − | 0.488177i | ||||
\(407\) | −33.0631 | − | 26.3669i | −1.63887 | − | 1.30696i | ||||
\(408\) | 3.28564 | − | 3.72066i | 0.162663 | − | 0.184200i | ||||
\(409\) | −10.5676 | + | 34.2594i | −0.522536 | + | 1.69402i | 0.181105 | + | 0.983464i | \(0.442033\pi\) |
−0.703641 | + | 0.710556i | \(0.748444\pi\) | |||||||
\(410\) | −10.7433 | − | 6.20262i | −0.530572 | − | 0.306326i | ||||
\(411\) | −3.18391 | + | 11.3023i | −0.157051 | + | 0.557503i | ||||
\(412\) | 7.80366 | − | 1.78113i | 0.384459 | − | 0.0877502i | ||||
\(413\) | 1.05831 | − | 4.98612i | 0.0520763 | − | 0.245351i | ||||
\(414\) | 18.9838 | + | 4.84691i | 0.933004 | + | 0.238212i | ||||
\(415\) | −19.3892 | + | 5.98077i | −0.951777 | + | 0.293584i | ||||
\(416\) | 1.27185 | + | 3.24062i | 0.0623576 | + | 0.158885i | ||||
\(417\) | −9.07086 | + | 20.0858i | −0.444202 | + | 0.983606i | ||||
\(418\) | −7.19333 | − | 23.3202i | −0.351837 | − | 1.14063i | ||||
\(419\) | −1.10027 | + | 4.82058i | −0.0537515 | + | 0.235501i | −0.994667 | − | 0.103142i | \(-0.967110\pi\) |
0.940915 | + | 0.338642i | \(0.109968\pi\) | |||||||
\(420\) | 1.01036 | + | 8.77299i | 0.0493006 | + | 0.428078i | ||||
\(421\) | −0.589336 | − | 2.58205i | −0.0287225 | − | 0.125841i | 0.958534 | − | 0.284978i | \(-0.0919862\pi\) |
−0.987257 | + | 0.159136i | \(0.949129\pi\) | |||||||
\(422\) | 8.35051 | − | 4.82117i | 0.406497 | − | 0.234691i | ||||
\(423\) | 3.43530 | + | 2.10231i | 0.167030 | + | 0.102218i | ||||
\(424\) | −4.94008 | − | 1.52381i | −0.239911 | − | 0.0740029i | ||||
\(425\) | 0.275492 | + | 3.67619i | 0.0133633 | + | 0.178321i | ||||
\(426\) | 1.46776 | + | 14.7159i | 0.0711133 | + | 0.712990i | ||||
\(427\) | −38.7429 | − | 2.30981i | −1.87490 | − | 0.111780i | ||||
\(428\) | −8.60357 | + | 6.86112i | −0.415869 | + | 0.331645i | ||||
\(429\) | 1.32358 | − | 26.3498i | 0.0639029 | − | 1.27218i | ||||
\(430\) | −0.180147 | − | 1.19520i | −0.00868746 | − | 0.0576375i | ||||
\(431\) | −11.3493 | − | 16.6463i | −0.546676 | − | 0.801826i | 0.449116 | − | 0.893474i | \(-0.351739\pi\) |
−0.995792 | + | 0.0916474i | \(0.970787\pi\) | |||||||
\(432\) | 2.92295 | + | 4.29609i | 0.140630 | + | 0.206696i | ||||
\(433\) | 10.6630 | + | 22.1419i | 0.512430 | + | 1.06407i | 0.983321 | + | 0.181881i | \(0.0582184\pi\) |
−0.470890 | + | 0.882192i | \(0.656067\pi\) | |||||||
\(434\) | 8.71622 | + | 1.17811i | 0.418392 | + | 0.0565509i | ||||
\(435\) | −6.85666 | − | 20.4296i | −0.328752 | − | 0.979525i | ||||
\(436\) | −13.1691 | − | 8.97851i | −0.630683 | − | 0.429993i | ||||
\(437\) | −26.7025 | − | 24.7763i | −1.27736 | − | 1.18521i | ||||
\(438\) | 12.8183 | + | 15.2862i | 0.612480 | + | 0.730403i | ||||
\(439\) | 29.0552 | + | 11.4033i | 1.38673 | + | 0.544251i | 0.937130 | − | 0.348980i | \(-0.113472\pi\) |
0.449598 | + | 0.893231i | \(0.351567\pi\) | |||||||
\(440\) | 8.43190 | 0.401975 | ||||||||
\(441\) | 20.4963 | + | 4.57205i | 0.976012 | + | 0.217717i | ||||
\(442\) | −9.97668 | −0.474543 | ||||||||
\(443\) | 1.95411 | + | 0.766931i | 0.0928425 | + | 0.0364380i | 0.411308 | − | 0.911497i | \(-0.365072\pi\) |
−0.318465 | + | 0.947935i | \(0.603167\pi\) | |||||||
\(444\) | −10.7563 | − | 12.8273i | −0.510474 | − | 0.608757i | ||||
\(445\) | −2.67696 | − | 2.48385i | −0.126900 | − | 0.117746i | ||||
\(446\) | −11.8439 | − | 8.07502i | −0.560824 | − | 0.382363i | ||||
\(447\) | −3.32302 | − | 9.90104i | −0.157174 | − | 0.468303i | ||||
\(448\) | 0.237931 | + | 2.63503i | 0.0112412 | + | 0.124494i | ||||
\(449\) | 11.1540 | + | 23.1615i | 0.526389 | + | 1.09306i | 0.979470 | + | 0.201589i | \(0.0646107\pi\) |
−0.453081 | + | 0.891470i | \(0.649675\pi\) | |||||||
\(450\) | −3.80004 | − | 0.672576i | −0.179136 | − | 0.0317055i | ||||
\(451\) | 15.8667 | + | 23.2722i | 0.747135 | + | 1.09585i | ||||
\(452\) | −2.90553 | − | 19.2770i | −0.136665 | − | 0.906711i | ||||
\(453\) | 0.948986 | − | 18.8924i | 0.0445872 | − | 0.887644i | ||||
\(454\) | 8.10201 | − | 6.46113i | 0.380246 | − | 0.303236i | ||||
\(455\) | 11.8729 | − | 13.1939i | 0.556610 | − | 0.618540i | ||||
\(456\) | −0.958785 | − | 9.61288i | −0.0448992 | − | 0.450164i | ||||
\(457\) | −0.594664 | − | 7.93524i | −0.0278172 | − | 0.371195i | −0.993689 | − | 0.112173i | \(-0.964219\pi\) |
0.965871 | − | 0.259022i | \(-0.0834001\pi\) | |||||||
\(458\) | −4.31978 | − | 1.33248i | −0.201850 | − | 0.0622626i | ||||
\(459\) | −14.5211 | + | 3.29957i | −0.677785 | + | 0.154011i | ||||
\(460\) | 10.8995 | − | 6.29281i | 0.508191 | − | 0.293404i | ||||
\(461\) | −2.60314 | − | 11.4051i | −0.121240 | − | 0.531188i | −0.998674 | − | 0.0514895i | \(-0.983603\pi\) |
0.877433 | − | 0.479699i | \(-0.159254\pi\) | |||||||
\(462\) | 6.57580 | − | 18.9420i | 0.305934 | − | 0.881264i | ||||
\(463\) | 2.35165 | − | 10.3032i | 0.109290 | − | 0.478832i | −0.890429 | − | 0.455123i | \(-0.849595\pi\) |
0.999719 | − | 0.0237091i | \(-0.00754753\pi\) | |||||||
\(464\) | −1.90300 | − | 6.16939i | −0.0883447 | − | 0.286407i | ||||
\(465\) | 4.56694 | − | 10.1127i | 0.211787 | − | 0.468965i | ||||
\(466\) | −9.14677 | − | 23.3056i | −0.423716 | − | 1.07961i | ||||
\(467\) | 13.0995 | − | 4.04066i | 0.606173 | − | 0.186980i | 0.0235506 | − | 0.999723i | \(-0.492503\pi\) |
0.582622 | + | 0.812743i | \(0.302027\pi\) | |||||||
\(468\) | 2.58361 | − | 10.1192i | 0.119427 | − | 0.467760i | ||||
\(469\) | −3.13538 | − | 12.8317i | −0.144778 | − | 0.592512i | ||||
\(470\) | 2.52225 | − | 0.575688i | 0.116343 | − | 0.0265545i | ||||
\(471\) | −10.8589 | + | 38.5472i | −0.500352 | + | 1.77616i | ||||
\(472\) | −1.66845 | − | 0.963280i | −0.0767967 | − | 0.0443386i | ||||
\(473\) | −0.808921 | + | 2.62246i | −0.0371942 | + | 0.120581i | ||||
\(474\) | −1.01183 | + | 1.14579i | −0.0464747 | + | 0.0526281i | ||||
\(475\) | 5.60946 | + | 4.47339i | 0.257380 | + | 0.205253i | ||||
\(476\) | −7.27862 | − | 2.12415i | −0.333615 | − | 0.0973601i | ||||
\(477\) | 9.35660 | + | 12.3690i | 0.428409 | + | 0.566337i | ||||
\(478\) | −14.0449 | + | 13.0318i | −0.642400 | + | 0.596060i | ||||
\(479\) | −15.9780 | + | 2.40829i | −0.730053 | + | 0.110038i | −0.503542 | − | 0.863971i | \(-0.667970\pi\) |
−0.226511 | + | 0.974009i | \(0.572732\pi\) | |||||||
\(480\) | 3.27140 | + | 0.662426i | 0.149318 | + | 0.0302355i | ||||
\(481\) | −5.01477 | + | 33.2708i | −0.228654 | + | 1.51702i | ||||
\(482\) | 10.9132 | − | 5.25553i | 0.497083 | − | 0.239383i | ||||
\(483\) | −5.63645 | − | 29.3930i | −0.256467 | − | 1.33743i | ||||
\(484\) | −7.33828 | − | 3.53393i | −0.333558 | − | 0.160633i | ||||
\(485\) | 14.5046 | − | 21.2744i | 0.658621 | − | 0.966020i | ||||
\(486\) | 0.413739 | − | 15.5830i | 0.0187676 | − | 0.706858i | ||||
\(487\) | 0.158707 | − | 2.11779i | 0.00719168 | − | 0.0959663i | −0.992453 | − | 0.122627i | \(-0.960868\pi\) |
0.999645 | + | 0.0266604i | \(0.00848727\pi\) | |||||||
\(488\) | −5.35935 | + | 13.6554i | −0.242606 | + | 0.618151i | ||||
\(489\) | 16.3536 | − | 15.9406i | 0.739536 | − | 0.720858i | ||||
\(490\) | 11.4712 | − | 7.09792i | 0.518214 | − | 0.320651i | ||||
\(491\) | 37.8718i | 1.70913i | 0.519344 | + | 0.854565i | \(0.326176\pi\) | ||||
−0.519344 | + | 0.854565i | \(0.673824\pi\) | |||||||
\(492\) | 4.32766 | + | 10.2757i | 0.195106 | + | 0.463263i | ||||
\(493\) | 18.4506 | + | 1.38268i | 0.830973 | + | 0.0622729i | ||||
\(494\) | −13.2069 | + | 14.2336i | −0.594205 | + | 0.640400i | ||||
\(495\) | −20.5290 | − | 14.7794i | −0.922711 | − | 0.664287i | ||||
\(496\) | 1.44239 | − | 2.99516i | 0.0647654 | − | 0.134487i | ||||
\(497\) | 19.3894 | − | 11.5923i | 0.869734 | − | 0.519986i | ||||
\(498\) | 17.1353 | + | 6.24299i | 0.767851 | + | 0.279755i | ||||
\(499\) | 8.70183 | + | 1.31159i | 0.389548 | + | 0.0587148i | 0.340896 | − | 0.940101i | \(-0.389270\pi\) |
0.0486514 | + | 0.998816i | \(0.484508\pi\) | |||||||
\(500\) | −10.0093 | + | 6.82424i | −0.447631 | + | 0.305189i | ||||
\(501\) | −10.2728 | + | 13.5529i | −0.458953 | + | 0.605497i | ||||
\(502\) | −5.30387 | − | 5.71621i | −0.236723 | − | 0.255127i | ||||
\(503\) | 5.29402 | + | 6.63849i | 0.236048 | + | 0.295995i | 0.885720 | − | 0.464219i | \(-0.153665\pi\) |
−0.649672 | + | 0.760215i | \(0.725094\pi\) | |||||||
\(504\) | 4.03940 | − | 6.83252i | 0.179929 | − | 0.304344i | ||||
\(505\) | −2.18622 | + | 2.74143i | −0.0972855 | + | 0.121992i | ||||
\(506\) | −28.4961 | + | 2.13549i | −1.26681 | + | 0.0949340i | ||||
\(507\) | 1.35773 | − | 0.695515i | 0.0602989 | − | 0.0308889i | ||||
\(508\) | 5.48262 | − | 9.49617i | 0.243252 | − | 0.421325i | ||||
\(509\) | 20.7355 | + | 35.9149i | 0.919085 | + | 1.59190i | 0.800808 | + | 0.598921i | \(0.204404\pi\) |
0.118277 | + | 0.992981i | \(0.462263\pi\) | |||||||
\(510\) | −5.19232 | + | 8.03361i | −0.229920 | + | 0.355734i | ||||
\(511\) | 12.8015 | − | 27.6538i | 0.566306 | − | 1.22333i | ||||
\(512\) | 0.974928 | + | 0.222521i | 0.0430861 | + | 0.00983413i | ||||
\(513\) | −14.5151 | + | 25.0849i | −0.640858 | + | 1.10753i | ||||
\(514\) | −10.5350 | + | 4.13467i | −0.464678 | + | 0.182373i | ||||
\(515\) | −14.3587 | + | 5.63539i | −0.632721 | + | 0.248325i | ||||
\(516\) | −0.519869 | + | 0.953908i | −0.0228860 | + | 0.0419935i | ||||
\(517\) | −5.72685 | − | 1.30712i | −0.251867 | − | 0.0574869i | ||||
\(518\) | −10.7423 | + | 23.2055i | −0.471990 | + | 1.01959i | ||||
\(519\) | −14.3526 | − | 9.27648i | −0.630011 | − | 0.407192i | ||||
\(520\) | −3.35434 | − | 5.80989i | −0.147098 | − | 0.254781i | ||||
\(521\) | −1.87234 | + | 3.24299i | −0.0820287 | + | 0.142078i | −0.904121 | − | 0.427276i | \(-0.859473\pi\) |
0.822092 | + | 0.569354i | \(0.192807\pi\) | |||||||
\(522\) | −6.18049 | + | 18.3561i | −0.270513 | + | 0.803425i | ||||
\(523\) | 19.5290 | − | 1.46349i | 0.853942 | − | 0.0639941i | 0.359438 | − | 0.933169i | \(-0.382969\pi\) |
0.494505 | + | 0.869175i | \(0.335349\pi\) | |||||||
\(524\) | 2.82583 | − | 3.54348i | 0.123447 | − | 0.154798i | ||||
\(525\) | 1.53972 | + | 5.69024i | 0.0671991 | + | 0.248343i | ||||
\(526\) | 15.3414 | + | 19.2375i | 0.668918 | + | 0.838796i | ||||
\(527\) | 6.48005 | + | 6.98383i | 0.282275 | + | 0.304220i | ||||
\(528\) | −6.03964 | − | 4.57792i | −0.262842 | − | 0.199228i | ||||
\(529\) | −16.2382 | + | 11.0710i | −0.706008 | + | 0.481348i | ||||
\(530\) | 9.85126 | + | 1.48484i | 0.427911 | + | 0.0644972i | ||||
\(531\) | 2.37371 | + | 5.26975i | 0.103010 | + | 0.228687i | ||||
\(532\) | −12.6657 | + | 7.57243i | −0.549129 | + | 0.328306i | ||||
\(533\) | 9.72338 | − | 20.1908i | 0.421166 | − | 0.874561i | ||||
\(534\) | 0.568910 | + | 3.23254i | 0.0246191 | + | 0.139886i | ||||
\(535\) | 14.4240 | − | 15.5453i | 0.623602 | − | 0.672083i | ||||
\(536\) | −4.97864 | − | 0.373098i | −0.215045 | − | 0.0161154i | ||||
\(537\) | −17.6317 | + | 7.42568i | −0.760862 | + | 0.320442i | ||||
\(538\) | − | 9.62232i | − | 0.414848i | ||||||
\(539\) | −30.4587 | + | 3.21929i | −1.31195 | + | 0.138665i | ||||
\(540\) | −6.80374 | − | 7.34692i | −0.292786 | − | 0.316161i | ||||
\(541\) | −8.99479 | + | 22.9183i | −0.386716 | + | 0.985336i | 0.596455 | + | 0.802647i | \(0.296576\pi\) |
−0.983171 | + | 0.182690i | \(0.941520\pi\) | |||||||
\(542\) | −1.56109 | + | 20.8313i | −0.0670545 | + | 0.894781i | ||||
\(543\) | −0.0578259 | − | 2.34912i | −0.00248155 | − | 0.100810i | ||||
\(544\) | −1.61437 | + | 2.36785i | −0.0692156 | + | 0.101521i | ||||
\(545\) | 27.6731 | + | 13.3267i | 1.18539 | + | 0.570852i | ||||
\(546\) | −15.6677 | + | 3.00447i | −0.670516 | + | 0.128580i | ||||
\(547\) | −24.9951 | + | 12.0370i | −1.06871 | + | 0.514665i | −0.883692 | − | 0.468070i | \(-0.844950\pi\) |
−0.185021 | + | 0.982735i | \(0.559235\pi\) | |||||||
\(548\) | 1.01041 | − | 6.70366i | 0.0431627 | − | 0.286366i | ||||
\(549\) | 36.9835 | − | 23.8527i | 1.57842 | − | 1.01801i | ||||
\(550\) | 5.56562 | − | 0.838883i | 0.237319 | − | 0.0357701i | ||||
\(551\) | 26.3971 | − | 24.4929i | 1.12455 | − | 1.04343i | ||||
\(552\) | −11.2237 | − | 1.41018i | −0.477711 | − | 0.0600213i | ||||
\(553\) | 2.24148 | + | 0.654140i | 0.0953176 | + | 0.0278169i | ||||
\(554\) | −25.2733 | − | 20.1548i | −1.07376 | − | 0.856296i | ||||
\(555\) | 24.1810 | + | 21.3537i | 1.02643 | + | 0.906416i | ||||
\(556\) | 3.75054 | − | 12.1590i | 0.159058 | − | 0.515655i | ||||
\(557\) | 8.48153 | + | 4.89681i | 0.359374 | + | 0.207485i | 0.668806 | − | 0.743437i | \(-0.266806\pi\) |
−0.309432 | + | 0.950922i | \(0.600139\pi\) | |||||||
\(558\) | −8.76170 | + | 4.76405i | −0.370912 | + | 0.201678i | ||||
\(559\) | 2.12877 | − | 0.485878i | 0.0900373 | − | 0.0205504i | ||||
\(560\) | −1.21021 | − | 4.95286i | −0.0511409 | − | 0.209296i | ||||
\(561\) | 18.5361 | − | 11.3190i | 0.782594 | − | 0.477887i | ||||
\(562\) | −18.2291 | + | 5.62294i | −0.768949 | + | 0.237189i | ||||
\(563\) | −15.1276 | − | 38.5446i | −0.637554 | − | 1.62446i | −0.773538 | − | 0.633750i | \(-0.781515\pi\) |
0.135984 | − | 0.990711i | \(-0.456580\pi\) | |||||||
\(564\) | −2.11921 | − | 0.957046i | −0.0892348 | − | 0.0402989i | ||||
\(565\) | 11.0733 | + | 35.8988i | 0.465857 | + | 1.51027i | ||||
\(566\) | −0.0900246 | + | 0.394423i | −0.00378401 | + | 0.0165789i | ||||
\(567\) | −21.8107 | + | 9.55477i | −0.915963 | + | 0.401263i | ||||
\(568\) | −1.89997 | − | 8.32433i | −0.0797211 | − | 0.349281i | ||||
\(569\) | −30.5614 | + | 17.6446i | −1.28120 | + | 0.739701i | −0.977068 | − | 0.212929i | \(-0.931700\pi\) |
−0.304132 | + | 0.952630i | \(0.598366\pi\) | |||||||
\(570\) | 4.58799 | + | 18.0425i | 0.192170 | + | 0.755717i | ||||
\(571\) | 3.70952 | + | 1.14423i | 0.155238 | + | 0.0478847i | 0.371400 | − | 0.928473i | \(-0.378878\pi\) |
−0.216162 | + | 0.976358i | \(0.569354\pi\) | |||||||
\(572\) | 1.13831 | + | 15.1897i | 0.0475950 | + | 0.635112i | ||||
\(573\) | −12.8676 | + | 1.28341i | −0.537550 | + | 0.0536151i | ||||
\(574\) | 11.3927 | − | 12.6603i | 0.475521 | − | 0.528429i | ||||
\(575\) | 6.56832 | − | 5.23806i | 0.273918 | − | 0.218442i | ||||
\(576\) | −1.98361 | − | 2.25062i | −0.0826503 | − | 0.0937759i | ||||
\(577\) | −4.90365 | − | 32.5336i | −0.204142 | − | 1.35439i | −0.822621 | − | 0.568590i | \(-0.807489\pi\) |
0.618480 | − | 0.785801i | \(-0.287749\pi\) | |||||||
\(578\) | 4.94995 | + | 7.26024i | 0.205891 | + | 0.301986i | ||||
\(579\) | 19.8775 | − | 14.2812i | 0.826080 | − | 0.593508i | ||||
\(580\) | 5.39823 | + | 11.2095i | 0.224149 | + | 0.465450i | ||||
\(581\) | −2.50523 | − | 27.7448i | −0.103934 | − | 1.15105i | ||||
\(582\) | −21.9399 | + | 7.36354i | −0.909438 | + | 0.305229i | ||||
\(583\) | −18.6897 | − | 12.7424i | −0.774048 | − | 0.527737i | ||||
\(584\) | −8.44311 | − | 7.83406i | −0.349378 | − | 0.324176i | ||||
\(585\) | −2.01681 | + | 20.0247i | −0.0833850 | + | 0.827921i | ||||
\(586\) | −1.47830 | − | 0.580190i | −0.0610680 | − | 0.0239674i | ||||
\(587\) | 23.7054 | 0.978427 | 0.489214 | − | 0.872164i | \(-0.337284\pi\) | ||||
0.489214 | + | 0.872164i | \(0.337284\pi\) | |||||||
\(588\) | −12.0703 | − | 1.14388i | −0.497770 | − | 0.0471727i | ||||
\(589\) | 18.5418 | 0.764004 | ||||||||
\(590\) | 3.45599 | + | 1.35638i | 0.142281 | + | 0.0558412i | ||||
\(591\) | −20.6359 | + | 17.3042i | −0.848847 | + | 0.711801i | ||||
\(592\) | 7.08497 | + | 6.57390i | 0.291191 | + | 0.270185i | ||||
\(593\) | 1.49423 | + | 1.01875i | 0.0613605 | + | 0.0418349i | 0.593612 | − | 0.804752i | \(-0.297701\pi\) |
−0.532251 | + | 0.846586i | \(0.678654\pi\) | |||||||
\(594\) | 6.68046 | + | 21.7321i | 0.274102 | + | 0.891678i | ||||
\(595\) | 14.4799 | + | 1.95714i | 0.593618 | + | 0.0802349i | ||||
\(596\) | 2.61620 | + | 5.43260i | 0.107164 | + | 0.222528i | ||||
\(597\) | −10.8889 | − | 15.1558i | −0.445653 | − | 0.620287i | ||||
\(598\) | 12.8076 | + | 18.7853i | 0.523743 | + | 0.768189i | ||||
\(599\) | −1.74111 | − | 11.5515i | −0.0711397 | − | 0.471981i | −0.995828 | − | 0.0912549i | \(-0.970912\pi\) |
0.924688 | − | 0.380726i | \(-0.124326\pi\) | |||||||
\(600\) | 2.22525 | + | 0.111776i | 0.0908455 | + | 0.00456326i | ||||
\(601\) | −14.0068 | + | 11.1700i | −0.571349 | + | 0.455636i | −0.866052 | − | 0.499953i | \(-0.833351\pi\) |
0.294703 | + | 0.955589i | \(0.404779\pi\) | |||||||
\(602\) | 1.65652 | + | 0.0987601i | 0.0675147 | + | 0.00402516i | ||||
\(603\) | 11.4675 | + | 9.63494i | 0.466991 | + | 0.392365i | ||||
\(604\) | 0.816150 | + | 10.8908i | 0.0332087 | + | 0.443139i | ||||
\(605\) | 14.9985 | + | 4.62642i | 0.609775 | + | 0.188091i | ||||
\(606\) | 3.05436 | − | 0.776687i | 0.124075 | − | 0.0315508i | ||||
\(607\) | 35.9405 | − | 20.7502i | 1.45878 | − | 0.842226i | 0.459828 | − | 0.888008i | \(-0.347911\pi\) |
0.998951 | + | 0.0457817i | \(0.0145779\pi\) | |||||||
\(608\) | 1.24112 | + | 5.43770i | 0.0503340 | + | 0.220528i | ||||
\(609\) | 29.3918 | − | 3.38498i | 1.19102 | − | 0.137166i | ||||
\(610\) | 6.29048 | − | 27.5604i | 0.254694 | − | 1.11589i | ||||
\(611\) | 1.37758 | + | 4.46600i | 0.0557308 | + | 0.180675i | ||||
\(612\) | 8.08085 | − | 2.93529i | 0.326649 | − | 0.118652i | ||||
\(613\) | −13.7356 | − | 34.9977i | −0.554775 | − | 1.41354i | −0.883192 | − | 0.469011i | \(-0.844610\pi\) |
0.328417 | − | 0.944533i | \(-0.393485\pi\) | |||||||
\(614\) | −7.41930 | + | 2.28855i | −0.299418 | + | 0.0923584i | ||||
\(615\) | −11.1979 | − | 18.3379i | −0.451544 | − | 0.739454i | ||||
\(616\) | −2.40358 | + | 11.3242i | −0.0968430 | + | 0.456264i | ||||
\(617\) | 21.6825 | − | 4.94889i | 0.872905 | − | 0.199235i | 0.237475 | − | 0.971394i | \(-0.423680\pi\) |
0.635430 | + | 0.772159i | \(0.280823\pi\) | |||||||
\(618\) | 13.3445 | + | 3.75921i | 0.536796 | + | 0.151218i | ||||
\(619\) | 18.5553 | + | 10.7129i | 0.745799 | + | 0.430587i | 0.824174 | − | 0.566337i | \(-0.191640\pi\) |
−0.0783752 | + | 0.996924i | \(0.524973\pi\) | |||||||
\(620\) | −1.88830 | + | 6.12172i | −0.0758360 | + | 0.245854i | ||||
\(621\) | 24.8543 | + | 23.1062i | 0.997370 | + | 0.927220i | ||||
\(622\) | −15.5872 | − | 12.4304i | −0.624988 | − | 0.498412i | ||||
\(623\) | 4.09894 | − | 2.88715i | 0.164220 | − | 0.115671i | ||||
\(624\) | −0.751688 | + | 5.98270i | −0.0300916 | + | 0.239500i | ||||
\(625\) | 12.3984 | − | 11.5040i | 0.495936 | − | 0.460162i | ||||
\(626\) | 12.8885 | − | 1.94263i | 0.515130 | − | 0.0776433i | ||||
\(627\) | 8.38893 | − | 41.4289i | 0.335022 | − | 1.65451i | ||||
\(628\) | 3.44607 | − | 22.8632i | 0.137513 | − | 0.912340i | ||||
\(629\) | −24.9552 | + | 12.0178i | −0.995031 | + | 0.479181i | ||||
\(630\) | −5.73488 | + | 14.1799i | −0.228483 | + | 0.564941i | ||||
\(631\) | −28.0413 | − | 13.5040i | −1.11631 | − | 0.537585i | −0.217558 | − | 0.976047i | \(-0.569809\pi\) |
−0.898750 | + | 0.438462i | \(0.855523\pi\) | |||||||
\(632\) | 0.497153 | − | 0.729190i | 0.0197757 | − | 0.0290056i | ||||
\(633\) | 16.6960 | − | 0.410988i | 0.663605 | − | 0.0163353i | ||||
\(634\) | −1.15696 | + | 15.4385i | −0.0459487 | + | 0.613143i | ||||
\(635\) | −7.71997 | + | 19.6702i | −0.306358 | + | 0.780587i | ||||
\(636\) | −6.25014 | − | 6.41209i | −0.247834 | − | 0.254256i | ||||
\(637\) | 14.3352 | + | 19.7065i | 0.567980 | + | 0.780800i | ||||
\(638\) | − | 28.2491i | − | 1.11839i | ||||||
\(639\) | −9.96505 | + | 23.5974i | −0.394211 | + | 0.933499i | ||||
\(640\) | −1.92169 | − | 0.144011i | −0.0759615 | − | 0.00569252i | ||||
\(641\) | 3.52614 | − | 3.80027i | 0.139274 | − | 0.150102i | −0.659563 | − | 0.751649i | \(-0.729259\pi\) |
0.798837 | + | 0.601548i | \(0.205449\pi\) | |||||||
\(642\) | −18.7716 | + | 3.30371i | −0.740858 | + | 0.130387i | ||||
\(643\) | 11.4570 | − | 23.7908i | 0.451822 | − | 0.938217i | −0.543298 | − | 0.839540i | \(-0.682825\pi\) |
0.995119 | − | 0.0986773i | \(-0.0314612\pi\) | |||||||
\(644\) | 5.34436 | + | 16.4320i | 0.210597 | + | 0.647510i | ||||
\(645\) | 0.716662 | − | 1.96704i | 0.0282185 | − | 0.0774521i | ||||
\(646\) | −15.8057 | − | 2.38232i | −0.621866 | − | 0.0937312i | ||||
\(647\) | 3.35424 | − | 2.28689i | 0.131869 | − | 0.0899067i | −0.495589 | − | 0.868557i | \(-0.665048\pi\) |
0.627458 | + | 0.778650i | \(0.284095\pi\) | |||||||
\(648\) | 0.884567 | + | 8.95642i | 0.0347491 | + | 0.351842i | ||||
\(649\) | −5.73361 | − | 6.17936i | −0.225064 | − | 0.242561i | ||||
\(650\) | −2.79211 | − | 3.50120i | −0.109516 | − | 0.137328i | ||||
\(651\) | 12.2797 | + | 9.01618i | 0.481278 | + | 0.353372i | ||||
\(652\) | −8.22080 | + | 10.3086i | −0.321951 | + | 0.403714i | ||||
\(653\) | 7.91203 | − | 0.592925i | 0.309622 | − | 0.0232029i | 0.0809867 | − | 0.996715i | \(-0.474193\pi\) |
0.228635 | + | 0.973512i | \(0.426574\pi\) | |||||||
\(654\) | −12.5864 | − | 24.5702i | −0.492168 | − | 0.960771i | ||||
\(655\) | −4.36704 | + | 7.56393i | −0.170634 | + | 0.295547i | ||||
\(656\) | −3.21867 | − | 5.57489i | −0.125668 | − | 0.217663i | ||||
\(657\) | 6.82476 | + | 33.8725i | 0.266259 | + | 1.32149i | ||||
\(658\) | 0.0541697 | + | 3.55153i | 0.00211175 | + | 0.138453i | ||||
\(659\) | 29.0612 | + | 6.63302i | 1.13206 | + | 0.258386i | 0.747207 | − | 0.664591i | \(-0.231394\pi\) |
0.384855 | + | 0.922977i | \(0.374251\pi\) | |||||||
\(660\) | 12.8237 | + | 6.98879i | 0.499163 | + | 0.272038i | ||||
\(661\) | 17.2684 | − | 6.77733i | 0.671661 | − | 0.263608i | −0.00490650 | − | 0.999988i | \(-0.501562\pi\) |
0.676568 | + | 0.736380i | \(0.263467\pi\) | |||||||
\(662\) | 5.33402 | − | 2.09345i | 0.207313 | − | 0.0813642i | ||||
\(663\) | −15.1731 | − | 8.26918i | −0.589275 | − | 0.321148i | ||||
\(664\) | −10.2652 | − | 2.34297i | −0.398368 | − | 0.0909249i | ||||
\(665\) | 21.9603 | − | 18.0675i | 0.851585 | − | 0.700627i | ||||
\(666\) | −5.72695 | − | 28.4239i | −0.221915 | − | 1.10140i | ||||
\(667\) | −21.0826 | − | 36.5161i | −0.816321 | − | 1.41391i | ||||
\(668\) | 4.90926 | − | 8.50308i | 0.189945 | − | 0.328994i | ||||
\(669\) | −11.3199 | − | 22.0978i | −0.437652 | − | 0.854349i | ||||
\(670\) | 9.59424 | − | 0.718989i | 0.370658 | − | 0.0277770i | ||||
\(671\) | −40.0193 | + | 50.1826i | −1.54493 | + | 1.93728i | ||||
\(672\) | −1.82219 | + | 4.20472i | −0.0702924 | + | 0.162200i | ||||
\(673\) | 24.6297 | + | 30.8847i | 0.949406 | + | 1.19052i | 0.981583 | + | 0.191035i | \(0.0611845\pi\) |
−0.0321773 | + | 0.999482i | \(0.510244\pi\) | |||||||
\(674\) | 16.6263 | + | 17.9189i | 0.640421 | + | 0.690210i | ||||
\(675\) | −5.22186 | − | 4.17256i | −0.200990 | − | 0.160602i | ||||
\(676\) | −0.727712 | + | 0.496145i | −0.0279889 | + | 0.0190825i | ||||
\(677\) | −11.7201 | − | 1.76652i | −0.450441 | − | 0.0678931i | −0.0800957 | − | 0.996787i | \(-0.525523\pi\) |
−0.370345 | + | 0.928894i | \(0.620761\pi\) | |||||||
\(678\) | 11.5588 | − | 31.7257i | 0.443913 | − | 1.21842i | ||||
\(679\) | 24.4372 | + | 25.5444i | 0.937812 | + | 0.980302i | ||||
\(680\) | 2.39619 | − | 4.97574i | 0.0918897 | − | 0.190811i | ||||
\(681\) | 17.6773 | − | 3.11111i | 0.677396 | − | 0.119218i | ||||
\(682\) | 9.89364 | − | 10.6628i | 0.378847 | − | 0.408300i | ||||
\(683\) | 20.1215 | + | 1.50790i | 0.769928 | + | 0.0576981i | 0.453901 | − | 0.891052i | \(-0.350032\pi\) |
0.316027 | + | 0.948750i | \(0.397651\pi\) | |||||||
\(684\) | 6.50946 | − | 15.4145i | 0.248896 | − | 0.589389i | ||||
\(685\) | 13.0644i | 0.499165i | ||||||||
\(686\) | 6.26268 | + | 17.4293i | 0.239110 | + | 0.665452i | ||||
\(687\) | −5.46535 | − | 5.60696i | −0.208516 | − | 0.213919i | ||||
\(688\) | 0.229148 | − | 0.583860i | 0.00873620 | − | 0.0222595i | ||||
\(689\) | −1.34494 | + | 17.9470i | −0.0512382 | + | 0.683726i | ||||
\(690\) | 21.7923 | − | 0.536441i | 0.829620 | − | 0.0204219i | ||||
\(691\) | −26.6365 | + | 39.0685i | −1.01330 | + | 1.48624i | −0.145478 | + | 0.989362i | \(0.546472\pi\) |
−0.867822 | + | 0.496876i | \(0.834480\pi\) | |||||||
\(692\) | 8.88953 | + | 4.28097i | 0.337929 | + | 0.162738i | ||||
\(693\) | 25.7010 | − | 23.3578i | 0.976299 | − | 0.887290i | ||||
\(694\) | 18.6109 | − | 8.96255i | 0.706461 | − | 0.340214i | ||||
\(695\) | −3.65461 | + | 24.2468i | −0.138627 | + | 0.919732i | ||||
\(696\) | 2.21930 | − | 10.9601i | 0.0841224 | − | 0.415440i | ||||
\(697\) | 18.2422 | − | 2.74956i | 0.690971 | − | 0.104147i | ||||
\(698\) | 5.83617 | − | 5.41517i | 0.220902 | − | 0.204967i | ||||
\(699\) | 5.40591 | − | 43.0258i | 0.204470 | − | 1.62738i | ||||
\(700\) | −1.29158 | − | 3.14881i | −0.0488170 | − | 0.119014i | ||||
\(701\) | −28.1255 | − | 22.4294i | −1.06229 | − | 0.847146i | −0.0736226 | − | 0.997286i | \(-0.523456\pi\) |
−0.988665 | + | 0.150140i | \(0.952027\pi\) | |||||||
\(702\) | 12.3166 | − | 13.2484i | 0.464860 | − | 0.500030i | ||||
\(703\) | −15.8894 | + | 51.5122i | −0.599280 | + | 1.94282i | ||||
\(704\) | 3.78928 | + | 2.18774i | 0.142814 | + | 0.0824537i | ||||
\(705\) | 4.31315 | + | 1.21503i | 0.162443 | + | 0.0457607i | ||||
\(706\) | 33.1687 | − | 7.57054i | 1.24832 | − | 0.284921i | ||||
\(707\) | −3.05859 | − | 3.71759i | −0.115030 | − | 0.139815i | ||||
\(708\) | −1.73906 | − | 2.84791i | −0.0653579 | − | 0.107031i | ||||
\(709\) | −6.23401 | + | 1.92294i | −0.234123 | + | 0.0722175i | −0.409597 | − | 0.912267i | \(-0.634331\pi\) |
0.175473 | + | 0.984484i | \(0.443854\pi\) | |||||||
\(710\) | 6.01139 | + | 15.3168i | 0.225603 | + | 0.574828i | ||||
\(711\) | −2.48853 | + | 0.903937i | −0.0933273 | + | 0.0339003i | ||||
\(712\) | −0.558558 | − | 1.81080i | −0.0209329 | − | 0.0678627i | ||||
\(713\) | 4.83122 | − | 21.1670i | 0.180931 | − | 0.792709i | ||||
\(714\) | −9.30915 | − | 9.26341i | −0.348386 | − | 0.346674i | ||||
\(715\) | −6.53182 | − | 28.6178i | −0.244276 | − | 1.07024i | ||||
\(716\) | 9.56577 | − | 5.52280i | 0.357490 | − | 0.206397i | ||||
\(717\) | −32.1617 | + | 8.17835i | −1.20110 | + | 0.305426i | ||||
\(718\) | −9.72364 | − | 2.99935i | −0.362883 | − | 0.111935i | ||||
\(719\) | 2.03516 | + | 27.1573i | 0.0758987 | + | 1.01280i | 0.897004 | + | 0.442021i | \(0.145739\pi\) |
−0.821106 | + | 0.570776i | \(0.806642\pi\) | |||||||
\(720\) | 4.42629 | + | 3.71896i | 0.164958 | + | 0.138597i | ||||
\(721\) | −3.47534 | − | 20.8904i | −0.129428 | − | 0.777999i | ||||
\(722\) | −9.46713 | + | 7.54978i | −0.352330 | + | 0.280974i | ||||
\(723\) | 20.9535 | + | 1.05251i | 0.779268 | + | 0.0391434i | ||||
\(724\) | 0.202202 | + | 1.34152i | 0.00751477 | + | 0.0498572i | ||||
\(725\) | 4.67842 | + | 6.86198i | 0.173752 | + | 0.254847i | ||||
\(726\) | −8.23138 | − | 11.4569i | −0.305495 | − | 0.425207i | ||||
\(727\) | −22.2518 | − | 46.2062i | −0.825272 | − | 1.71369i | −0.691127 | − | 0.722733i | \(-0.742886\pi\) |
−0.134144 | − | 0.990962i | \(-0.542829\pi\) | |||||||
\(728\) | 8.75895 | − | 2.84878i | 0.324628 | − | 0.105583i | ||||
\(729\) | 13.5452 | − | 23.3565i | 0.501673 | − | 0.865057i | ||||
\(730\) | 18.3389 | + | 12.5032i | 0.678752 | + | 0.462765i | ||||
\(731\) | 1.31765 | + | 1.22260i | 0.0487352 | + | 0.0452196i | ||||
\(732\) | −19.4691 | + | 16.3258i | −0.719598 | + | 0.603419i | ||||
\(733\) | 12.9345 | + | 5.07640i | 0.477745 | + | 0.187501i | 0.591980 | − | 0.805953i | \(-0.298346\pi\) |
−0.114235 | + | 0.993454i | \(0.536442\pi\) | |||||||
\(734\) | −1.92832 | −0.0711756 | ||||||||
\(735\) | 23.3291 | − | 1.28706i | 0.860507 | − | 0.0474738i | ||||
\(736\) | 6.53094 | 0.240734 | ||||||||
\(737\) | −20.3350 | − | 7.98090i | −0.749049 | − | 0.293980i | ||||
\(738\) | −1.93524 | + | 19.2148i | −0.0712371 | + | 0.707306i | ||||
\(739\) | −6.24702 | − | 5.79639i | −0.229801 | − | 0.213224i | 0.556865 | − | 0.830603i | \(-0.312004\pi\) |
−0.786666 | + | 0.617379i | \(0.788194\pi\) | |||||||
\(740\) | −15.3889 | − | 10.4920i | −0.565708 | − | 0.385693i | ||||
\(741\) | −31.8833 | + | 10.7008i | −1.17126 | + | 0.393103i | ||||
\(742\) | −4.80234 | + | 12.8071i | −0.176299 | + | 0.470164i | ||||
\(743\) | 1.71093 | + | 3.55278i | 0.0627679 | + | 0.130339i | 0.929993 | − | 0.367578i | \(-0.119813\pi\) |
−0.867225 | + | 0.497917i | \(0.834099\pi\) | |||||||
\(744\) | 4.67622 | − | 3.35969i | 0.171438 | − | 0.123172i | ||||
\(745\) | −6.54565 | − | 9.60071i | −0.239814 | − | 0.351743i | ||||
\(746\) | −0.933768 | − | 6.19514i | −0.0341877 | − | 0.226820i | ||||
\(747\) | 20.8858 | + | 23.6973i | 0.764173 | + | 0.867039i | ||||
\(748\) | −9.80365 | + | 7.81815i | −0.358457 | + | 0.285860i | ||||
\(749\) | 16.7659 | + | 23.8029i | 0.612614 | + | 0.869739i | ||||
\(750\) | −20.8790 | + | 2.08247i | −0.762394 | + | 0.0760409i | ||||
\(751\) | −1.63326 | − | 21.7944i | −0.0595986 | − | 0.795288i | −0.944291 | − | 0.329113i | \(-0.893250\pi\) |
0.884692 | − | 0.466176i | \(-0.154369\pi\) | |||||||
\(752\) | 1.28286 | + | 0.395711i | 0.0467812 | + | 0.0144301i | ||||
\(753\) | −3.32854 | − | 13.0897i | −0.121299 | − | 0.477013i | ||||
\(754\) | −19.4647 | + | 11.2379i | −0.708861 | + | 0.409261i | ||||
\(755\) | −4.68322 | − | 20.5185i | −0.170440 | − | 0.746746i | ||||
\(756\) | 11.8065 | − | 7.04323i | 0.429397 | − | 0.256160i | ||||
\(757\) | 6.43709 | − | 28.2027i | 0.233960 | − | 1.02505i | −0.712360 | − | 0.701814i | \(-0.752374\pi\) |
0.946320 | − | 0.323231i | \(-0.104769\pi\) | |||||||
\(758\) | 1.72872 | + | 5.60436i | 0.0627898 | + | 0.203560i | ||||
\(759\) | −45.1085 | − | 20.3712i | −1.63734 | − | 0.739429i | ||||
\(760\) | −3.92681 | − | 10.0054i | −0.142440 | − | 0.362932i | ||||
\(761\) | 30.8662 | − | 9.52096i | 1.11890 | − | 0.345134i | 0.320491 | − | 0.947252i | \(-0.396152\pi\) |
0.798408 | + | 0.602117i | \(0.205676\pi\) | |||||||
\(762\) | 16.2092 | − | 9.89806i | 0.587197 | − | 0.358569i | ||||
\(763\) | −25.7864 | + | 33.3666i | −0.933529 | + | 1.20795i | ||||
\(764\) | 7.27877 | − | 1.66133i | 0.263337 | − | 0.0601048i | ||||
\(765\) | −14.5554 | + | 7.91431i | −0.526253 | + | 0.286143i | ||||
\(766\) | 4.91804 | + | 2.83943i | 0.177696 | + | 0.102593i | ||||
\(767\) | −1.97689 | + | 6.40891i | −0.0713813 | + | 0.231412i | ||||
\(768\) | 1.29829 | + | 1.14649i | 0.0468480 | + | 0.0413705i | ||||
\(769\) | −25.5985 | − | 20.4141i | −0.923106 | − | 0.736153i | 0.0416958 | − | 0.999130i | \(-0.486724\pi\) |
−0.964802 | + | 0.262978i | \(0.915295\pi\) | |||||||
\(770\) | 1.32767 | − | 22.2692i | 0.0478458 | − | 0.802526i | ||||
\(771\) | −19.4492 | − | 2.44367i | −0.700447 | − | 0.0880066i | ||||
\(772\) | −10.3589 | + | 9.61162i | −0.372824 | + | 0.345930i | ||||
\(773\) | 35.0834 | − | 5.28798i | 1.26186 | − | 0.190195i | 0.516171 | − | 0.856486i | \(-0.327357\pi\) |
0.745692 | + | 0.666290i | \(0.232119\pi\) | |||||||
\(774\) | −1.58129 | + | 1.01986i | −0.0568385 | + | 0.0366583i | ||||
\(775\) | −0.637361 | + | 4.22861i | −0.0228947 | + | 0.151896i | ||||
\(776\) | 12.0382 | − | 5.79729i | 0.432146 | − | 0.208111i | ||||
\(777\) | −35.5714 | + | 26.3884i | −1.27612 | + | 0.946679i | ||||
\(778\) | 29.6886 | + | 14.2973i | 1.06439 | + | 0.512583i | ||||
\(779\) | 20.2257 | − | 29.6657i | 0.724661 | − | 1.06288i | ||||
\(780\) | −0.285946 | − | 11.6163i | −0.0102385 | − | 0.415929i | ||||
\(781\) | 2.79189 | − | 37.2552i | 0.0999018 | − | 1.33310i | ||||
\(782\) | −6.83789 | + | 17.4227i | −0.244523 | + | 0.623033i | ||||
\(783\) | −24.6141 | + | 22.7943i | −0.879636 | + | 0.814602i | ||||
\(784\) | 6.99674 | − | 0.213485i | 0.249884 | − | 0.00762447i | ||||
\(785\) | 44.5568i | 1.59030i | ||||||||
\(786\) | 7.23471 | − | 3.04694i | 0.258054 | − | 0.108681i | ||||
\(787\) | 37.5911 | + | 2.81706i | 1.33998 | + | 0.100417i | 0.725339 | − | 0.688392i | \(-0.241683\pi\) |
0.614638 | + | 0.788810i | \(0.289302\pi\) | |||||||
\(788\) | 10.5757 | − | 11.3979i | 0.376745 | − | 0.406034i | ||||
\(789\) | 7.38708 | + | 41.9733i | 0.262987 | + | 1.49429i | ||||
\(790\) | −0.737917 | + | 1.53230i | −0.0262539 | + | 0.0545168i | ||||
\(791\) | −51.3691 | + | 4.63839i | −1.82648 | + | 0.164922i | ||||
\(792\) | −5.39103 | − | 11.9683i | −0.191562 | − | 0.425276i | ||||
\(793\) | 50.4979 | + | 7.61133i | 1.79323 | + | 0.270286i | ||||
\(794\) | 11.4422 | − | 7.80113i | 0.406067 | − | 0.276852i | ||||
\(795\) | 13.7516 | + | 10.4234i | 0.487721 | + | 0.369681i | ||||
\(796\) | 7.32850 | + | 7.89824i | 0.259752 | + | 0.279946i | ||||
\(797\) | 12.0240 | + | 15.0777i | 0.425913 | + | 0.534078i | 0.947770 | − | 0.318955i | \(-0.103332\pi\) |
−0.521857 | + | 0.853033i | \(0.674760\pi\) | |||||||
\(798\) | −25.5392 | + | 1.01859i | −0.904077 | + | 0.0360577i | ||||
\(799\) | −2.39880 | + | 3.00800i | −0.0848636 | + | 0.106416i | ||||
\(800\) | −1.28277 | + | 0.0961304i | −0.0453528 | + | 0.00339872i | ||||
\(801\) | −1.81406 | + | 5.38777i | −0.0640967 | + | 0.190368i | ||||
\(802\) | −12.6891 | + | 21.9781i | −0.448066 | + | 0.776073i | ||||
\(803\) | −25.1979 | − | 43.6440i | −0.889214 | − | 1.54016i | ||||
\(804\) | −7.26256 | − | 4.69398i | −0.256131 | − | 0.165544i | ||||
\(805\) | −14.9035 | − | 29.7770i | −0.525280 | − | 1.04950i | ||||
\(806\) | −11.2829 | − | 2.57525i | −0.397423 | − | 0.0907093i | ||||
\(807\) | 7.97547 | − | 14.6342i | 0.280750 | − | 0.515148i | ||||
\(808\) | −1.69378 | + | 0.664758i | −0.0595868 | + | 0.0233861i | ||||
\(809\) | 12.3665 | − | 4.85349i | 0.434783 | − | 0.170640i | −0.137847 | − | 0.990453i | \(-0.544018\pi\) |
0.572630 | + | 0.819814i | \(0.305923\pi\) | |||||||
\(810\) | −4.25802 | − | 16.8129i | −0.149612 | − | 0.590745i | ||||
\(811\) | 7.11354 | + | 1.62362i | 0.249790 | + | 0.0570130i | 0.345583 | − | 0.938388i | \(-0.387681\pi\) |
−0.0957923 | + | 0.995401i | \(0.530538\pi\) | |||||||
\(812\) | −16.5934 | + | 4.05454i | −0.582313 | + | 0.142286i | ||||
\(813\) | −19.6402 | + | 30.3875i | −0.688812 | + | 1.06574i | ||||
\(814\) | 21.1446 | + | 36.6236i | 0.741118 | + | 1.28365i | ||||
\(815\) | 12.7044 | − | 22.0047i | 0.445015 | − | 0.770789i | ||||
\(816\) | −4.41782 | + | 2.26309i | −0.154655 | + | 0.0792239i | ||||
\(817\) | 3.48855 | − | 0.261430i | 0.122049 | − | 0.00914629i | ||||
\(818\) | 22.3535 | − | 28.0304i | 0.781572 | − | 0.980060i | ||||
\(819\) | −26.3186 | − | 8.41682i | −0.919647 | − | 0.294107i | ||||
\(820\) | 7.73455 | + | 9.69881i | 0.270102 | + | 0.338697i | ||||
\(821\) | −24.8438 | − | 26.7753i | −0.867056 | − | 0.934464i | 0.131325 | − | 0.991339i | \(-0.458077\pi\) |
−0.998381 | + | 0.0568749i | \(0.981886\pi\) | |||||||
\(822\) | 7.09302 | − | 9.35783i | 0.247398 | − | 0.326392i | ||||
\(823\) | −12.0266 | + | 8.19959i | −0.419221 | + | 0.285820i | −0.754501 | − | 0.656298i | \(-0.772121\pi\) |
0.335281 | + | 0.942118i | \(0.391169\pi\) | |||||||
\(824\) | −7.91494 | − | 1.19299i | −0.275730 | − | 0.0415596i | ||||
\(825\) | 9.15982 | + | 3.33725i | 0.318904 | + | 0.116188i | ||||
\(826\) | −2.80679 | + | 4.25481i | −0.0976608 | + | 0.148044i | ||||
\(827\) | −24.2131 | + | 50.2790i | −0.841972 | + | 1.74837i | −0.202943 | + | 0.979191i | \(0.565050\pi\) |
−0.639029 | + | 0.769182i | \(0.720664\pi\) | |||||||
\(828\) | −15.9008 | − | 11.4474i | −0.552590 | − | 0.397826i | ||||
\(829\) | −13.4501 | + | 14.4958i | −0.467142 | + | 0.503460i | −0.922046 | − | 0.387081i | \(-0.873483\pi\) |
0.454903 | + | 0.890541i | \(0.349674\pi\) | |||||||
\(830\) | 20.2339 | + | 1.51632i | 0.702329 | + | 0.0526323i | ||||
\(831\) | −21.7318 | − | 51.6004i | −0.753869 | − | 1.79000i | ||||
\(832\) | − | 3.48127i | − | 0.120691i | ||||||
\(833\) | −6.75608 | + | 18.8888i | −0.234084 | + | 0.654459i | ||||
\(834\) | 15.7820 | − | 15.3834i | 0.546486 | − | 0.532684i | ||||
\(835\) | −6.91264 | + | 17.6131i | −0.239222 | + | 0.609527i | ||||
\(836\) | −1.82375 | + | 24.3362i | −0.0630756 | + | 0.841685i | ||||
\(837\) | −17.2740 | − | 0.0166990i | −0.597076 | − | 0.000577201i | ||||
\(838\) | 2.78536 | − | 4.08538i | 0.0962188 | − | 0.141127i | ||||
\(839\) | −20.9854 | − | 10.1060i | −0.724496 | − | 0.348899i | 0.0350208 | − | 0.999387i | \(-0.488850\pi\) |
−0.759517 | + | 0.650488i | \(0.774565\pi\) | |||||||
\(840\) | 2.26461 | − | 8.53568i | 0.0781366 | − | 0.294509i | ||||
\(841\) | 11.4268 | − | 5.50285i | 0.394027 | − | 0.189753i | ||||
\(842\) | −0.394731 | + | 2.61887i | −0.0136033 | + | 0.0902522i | ||||
\(843\) | −32.3845 | − | 6.55753i | −1.11538 | − | 0.225853i | ||||
\(844\) | −9.53465 | + | 1.43712i | −0.328196 | + | 0.0494676i | ||||
\(845\) | 1.24419 | − | 1.15444i | 0.0428015 | − | 0.0397140i | ||||
\(846\) | −2.42977 | − | 3.21204i | −0.0835371 | − | 0.110432i | ||||
\(847\) | −10.4888 | + | 18.8244i | −0.360399 | + | 0.646814i | ||||
\(848\) | 4.04188 | + | 3.22329i | 0.138799 | + | 0.110688i | ||||
\(849\) | −0.463832 | + | 0.525245i | −0.0159187 | + | 0.0180264i | ||||
\(850\) | 1.08661 | − | 3.52272i | 0.0372706 | − | 0.120828i | ||||
\(851\) | 54.6650 | + | 31.5609i | 1.87389 | + | 1.08189i | ||||
\(852\) | 4.01003 | − | 14.2349i | 0.137382 | − | 0.487680i | ||||
\(853\) | −7.59657 | + | 1.73387i | −0.260102 | + | 0.0593665i | −0.350583 | − | 0.936532i | \(-0.614017\pi\) |
0.0904815 | + | 0.995898i | \(0.471159\pi\) | |||||||
\(854\) | 35.2209 | + | 16.3045i | 1.20523 | + | 0.557929i | ||||
\(855\) | −7.97684 | + | 31.2428i | −0.272802 | + | 1.06848i | ||||
\(856\) | 10.5155 | − | 3.24360i | 0.359412 | − | 0.110864i | ||||
\(857\) | 5.72719 | + | 14.5926i | 0.195637 | + | 0.498475i | 0.994706 | − | 0.102765i | \(-0.0327688\pi\) |
−0.799069 | + | 0.601240i | \(0.794674\pi\) | |||||||
\(858\) | −10.8588 | + | 24.0448i | −0.370712 | + | 0.820876i | ||||
\(859\) | −4.67335 | − | 15.1506i | −0.159453 | − | 0.516933i | 0.840227 | − | 0.542234i | \(-0.182422\pi\) |
−0.999680 | + | 0.0253017i | \(0.991945\pi\) | |||||||
\(860\) | −0.268960 | + | 1.17839i | −0.00917148 | + | 0.0401829i | ||||
\(861\) | 27.8201 | − | 9.81163i | 0.948106 | − | 0.334379i | ||||
\(862\) | 4.48316 | + | 19.6420i | 0.152697 | + | 0.669009i | ||||
\(863\) | −30.8196 | + | 17.7937i | −1.04911 | + | 0.605704i | −0.922400 | − | 0.386236i | \(-0.873775\pi\) |
−0.126710 | + | 0.991940i | \(0.540442\pi\) | |||||||
\(864\) | −1.15135 | − | 5.06699i | −0.0391699 | − | 0.172382i | ||||
\(865\) | −18.1691 | − | 5.60441i | −0.617766 | − | 0.190556i | ||||
\(866\) | −1.83654 | − | 24.5069i | −0.0624082 | − | 0.832780i | ||||
\(867\) | 1.51051 | + | 15.1446i | 0.0512997 | + | 0.514336i | ||||
\(868\) | −7.68329 | − | 4.28106i | −0.260788 | − | 0.145309i | ||||
\(869\) | 3.01908 | − | 2.40763i | 0.102415 | − | 0.0816734i | ||||
\(870\) | −1.08109 | + | 21.5224i | −0.0366525 | + | 0.729678i | ||||
\(871\) | 2.59044 | + | 17.1865i | 0.0877739 | + | 0.582342i | ||||
\(872\) | 8.97851 | + | 13.1691i | 0.304051 | + | 0.445961i | ||||
\(873\) | −39.4707 | − | 6.98599i | −1.33588 | − | 0.236440i | ||||
\(874\) | 15.8049 | + | 32.8192i | 0.534608 | + | 1.11013i | ||||
\(875\) | 16.4472 | + | 27.5098i | 0.556017 | + | 0.930000i | ||||
\(876\) | −6.34750 | − | 18.9126i | −0.214462 | − | 0.638996i | ||||
\(877\) | 3.08771 | + | 2.10516i | 0.104265 | + | 0.0710864i | 0.614330 | − | 0.789049i | \(-0.289426\pi\) |
−0.510065 | + | 0.860136i | \(0.670379\pi\) | |||||||
\(878\) | −22.8806 | − | 21.2301i | −0.772183 | − | 0.716481i | ||||
\(879\) | −1.76739 | − | 2.10767i | −0.0596127 | − | 0.0710901i | ||||
\(880\) | −7.84904 | − | 3.08052i | −0.264591 | − | 0.103844i | ||||
\(881\) | −21.4542 | −0.722809 | −0.361405 | − | 0.932409i | \(-0.617703\pi\) | ||||
−0.361405 | + | 0.932409i | \(0.617703\pi\) | |||||||
\(882\) | −17.4091 | − | 11.7441i | −0.586194 | − | 0.395445i | ||||
\(883\) | −37.6383 | −1.26663 | −0.633314 | − | 0.773895i | \(-0.718306\pi\) | ||||
−0.633314 | + | 0.773895i | \(0.718306\pi\) | |||||||
\(884\) | 9.28703 | + | 3.64489i | 0.312357 | + | 0.122591i | ||||
\(885\) | 4.13184 | + | 4.92736i | 0.138890 | + | 0.165631i | ||||
\(886\) | −1.53884 | − | 1.42783i | −0.0516982 | − | 0.0479689i | ||||
\(887\) | −23.1343 | − | 15.7727i | −0.776775 | − | 0.529596i | 0.108816 | − | 0.994062i | \(-0.465294\pi\) |
−0.885591 | + | 0.464466i | \(0.846246\pi\) | |||||||
\(888\) | 5.32646 | + | 15.8703i | 0.178744 | + | 0.532574i | ||||
\(889\) | −24.2167 | − | 15.9752i | −0.812202 | − | 0.535790i | ||||
\(890\) | 1.58445 | + | 3.29015i | 0.0531110 | + | 0.110286i | ||||
\(891\) | −7.85262 | + | 38.5885i | −0.263073 | + | 1.29276i | ||||
\(892\) | 8.07502 | + | 11.8439i | 0.270372 | + | 0.396563i | ||||
\(893\) | 1.11601 | + | 7.40426i | 0.0373459 | + | 0.247774i | ||||
\(894\) | −0.523942 | + | 10.4307i | −0.0175232 | + | 0.348853i | ||||
\(895\) | −16.6419 | + | 13.2714i | −0.556276 | + | 0.443616i | ||||
\(896\) | 0.741201 | − | 2.53981i | 0.0247618 | − | 0.0848490i | ||||
\(897\) | 3.90834 | + | 39.1854i | 0.130496 | + | 1.30836i | ||||
\(898\) | −1.92111 | − | 25.6354i | −0.0641083 | − | 0.855466i | ||||
\(899\) | 20.5094 | + | 6.32631i | 0.684026 | + | 0.210994i | ||||
\(900\) | 3.29164 | + | 2.01440i | 0.109721 | + | 0.0671465i | ||||
\(901\) | −12.8307 | + | 7.40779i | −0.427452 | + | 0.246789i | ||||
\(902\) | −6.26763 | − | 27.4603i | −0.208689 | − | 0.914327i | ||||
\(903\) | 2.43747 | + | 1.52321i | 0.0811140 | + | 0.0506892i | ||||
\(904\) | −4.33798 | + | 19.0059i | −0.144279 | + | 0.632127i | ||||
\(905\) | −0.770613 | − | 2.49827i | −0.0256160 | − | 0.0830452i | ||||
\(906\) | −7.78557 | + | 17.2398i | −0.258658 | + | 0.572753i | ||||
\(907\) | −10.0690 | − | 25.6553i | −0.334334 | − | 0.851870i | −0.994878 | − | 0.101082i | \(-0.967769\pi\) |
0.660544 | − | 0.750787i | \(-0.270326\pi\) | |||||||
\(908\) | −9.90246 | + | 3.05450i | −0.328625 | + | 0.101367i | ||||
\(909\) | 5.28900 | + | 1.35037i | 0.175425 | + | 0.0447891i | ||||
\(910\) | −15.8724 | + | 7.94421i | −0.526166 | + | 0.263348i | ||||
\(911\) | 32.5895 | − | 7.43834i | 1.07974 | − | 0.246443i | 0.354580 | − | 0.935026i | \(-0.384624\pi\) |
0.725158 | + | 0.688582i | \(0.241767\pi\) | |||||||
\(912\) | −2.61947 | + | 9.29866i | −0.0867394 | + | 0.307909i | ||||
\(913\) | −39.8982 | − | 23.0352i | −1.32044 | − | 0.762355i | ||||
\(914\) | −2.34551 | + | 7.60396i | −0.0775826 | + | 0.251517i | ||||
\(915\) | 32.4104 | − | 36.7016i | 1.07145 | − | 1.21332i | ||||
\(916\) | 3.53437 | + | 2.81856i | 0.116779 | + | 0.0931279i | ||||
\(917\) | −8.91361 | − | 8.02115i | −0.294353 | − | 0.264882i | ||||
\(918\) | 14.7227 | + | 2.23365i | 0.485923 | + | 0.0737216i | ||||
\(919\) | 42.7041 | − | 39.6236i | 1.40868 | − | 1.30706i | 0.515842 | − | 0.856684i | \(-0.327479\pi\) |
0.892837 | − | 0.450379i | \(-0.148711\pi\) | |||||||
\(920\) | −12.4451 | + | 1.87579i | −0.410301 | + | 0.0618430i | ||||
\(921\) | −13.1806 | − | 2.66893i | −0.434314 | − | 0.0879442i | ||||
\(922\) | −1.74356 | + | 11.5677i | −0.0574209 | + | 0.380963i | ||||
\(923\) | −26.7809 | + | 12.8970i | −0.881503 | + | 0.424509i | ||||
\(924\) | −13.0415 | + | 15.2302i | −0.429035 | + | 0.501038i | ||||
\(925\) | −11.2016 | − | 5.39439i | −0.368305 | − | 0.177366i | ||||
\(926\) | −5.95328 | + | 8.73186i | −0.195637 | + | 0.286947i | ||||
\(927\) | 17.1793 | + | 16.7779i | 0.564243 | + | 0.551057i | ||||
\(928\) | −0.482474 | + | 6.43817i | −0.0158380 | + | 0.211343i | ||||
\(929\) | −2.36490 | + | 6.02567i | −0.0775899 | + | 0.197696i | −0.964406 | − | 0.264427i | \(-0.914817\pi\) |
0.886816 | + | 0.462123i | \(0.152912\pi\) | |||||||
\(930\) | −7.94583 | + | 7.74515i | −0.260554 | + | 0.253973i | ||||
\(931\) | 18.0049 | + | 34.6433i | 0.590088 | + | 1.13539i | ||||
\(932\) | 25.0363i | 0.820090i | ||||||||
\(933\) | −13.4030 | − | 31.8242i | −0.438793 | − | 1.04188i | ||||
\(934\) | −13.6702 | − | 1.02444i | −0.447303 | − | 0.0335207i | ||||
\(935\) | 16.4359 | − | 17.7137i | 0.537511 | − | 0.579299i | ||||
\(936\) | −6.10197 | + | 8.47580i | −0.199449 | + | 0.277040i | ||||
\(937\) | −15.8479 | + | 32.9086i | −0.517730 | + | 1.07508i | 0.464182 | + | 0.885740i | \(0.346348\pi\) |
−0.981912 | + | 0.189338i | \(0.939366\pi\) | |||||||
\(938\) | −1.76930 | + | 13.0902i | −0.0577696 | + | 0.427409i | ||||
\(939\) | 21.2118 | + | 7.72820i | 0.692220 | + | 0.252200i | ||||
\(940\) | −2.55822 | − | 0.385590i | −0.0834400 | − | 0.0125766i | ||||
\(941\) | −3.01734 | + | 2.05719i | −0.0983625 | + | 0.0670624i | −0.611502 | − | 0.791243i | \(-0.709435\pi\) |
0.513140 | + | 0.858305i | \(0.328482\pi\) | |||||||
\(942\) | 24.1911 | − | 31.9153i | 0.788189 | − | 1.03986i | ||||
\(943\) | −28.5957 | − | 30.8188i | −0.931204 | − | 1.00360i | ||||
\(944\) | 1.20119 | + | 1.50625i | 0.0390954 | + | 0.0490241i | ||||
\(945\) | −20.4750 | + | 16.8123i | −0.666051 | + | 0.546903i | ||||
\(946\) | 1.71109 | − | 2.14564i | 0.0556325 | − | 0.0697609i | ||||
\(947\) | 38.2528 | − | 2.86665i | 1.24305 | − | 0.0931535i | 0.563084 | − | 0.826400i | \(-0.309615\pi\) |
0.679963 | + | 0.733246i | \(0.261996\pi\) | |||||||
\(948\) | 1.36049 | − | 0.696928i | 0.0441866 | − | 0.0226352i | ||||
\(949\) | −20.0482 | + | 34.7245i | −0.650792 | + | 1.12720i | ||||
\(950\) | −3.58738 | − | 6.21353i | −0.116390 | − | 0.201594i | ||||
\(951\) | −14.5558 | + | 22.5209i | −0.472005 | + | 0.730290i | ||||
\(952\) | 5.99944 | + | 4.63649i | 0.194443 | + | 0.150270i | ||||
\(953\) | −29.4182 | − | 6.71452i | −0.952950 | − | 0.217505i | −0.282340 | − | 0.959314i | \(-0.591111\pi\) |
−0.670610 | + | 0.741810i | \(0.733968\pi\) | |||||||
\(954\) | −4.19092 | − | 14.9323i | −0.135686 | − | 0.483451i | ||||
\(955\) | −13.3929 | + | 5.25634i | −0.433385 | + | 0.170091i | ||||
\(956\) | 17.8351 | − | 6.99976i | 0.576829 | − | 0.226389i | ||||
\(957\) | 23.4143 | − | 42.9628i | 0.756876 | − | 1.38879i | ||||
\(958\) | 15.7533 | + | 3.59560i | 0.508967 | + | 0.116168i | ||||
\(959\) | −17.5457 | − | 3.72411i | −0.566579 | − | 0.120258i | ||||
\(960\) | −2.80325 | − | 1.81181i | −0.0904746 | − | 0.0584760i | ||||
\(961\) | −9.97425 | − | 17.2759i | −0.321750 | − | 0.557287i | ||||
\(962\) | 16.8233 | − | 29.1388i | 0.542405 | − | 0.939473i | ||||
\(963\) | −31.2873 | − | 10.5344i | −1.00822 | − | 0.339467i | ||||
\(964\) | −12.0789 | + | 0.905187i | −0.389035 | + | 0.0291541i | ||||
\(965\) | 16.9788 | − | 21.2907i | 0.546566 | − | 0.685372i | ||||
\(966\) | −5.49163 | + | 29.4204i | −0.176690 | + | 0.946585i | ||||
\(967\) | 27.4319 | + | 34.3985i | 0.882149 | + | 1.10618i | 0.993661 | + | 0.112417i | \(0.0358592\pi\) |
−0.111512 | + | 0.993763i | \(0.535569\pi\) | |||||||
\(968\) | 5.53992 | + | 5.97062i | 0.178060 | + | 0.191903i | ||||
\(969\) | −22.0636 | − | 16.7237i | −0.708784 | − | 0.537243i | ||||
\(970\) | −21.2744 | + | 14.5046i | −0.683079 | + | 0.465715i | ||||
\(971\) | 31.5644 | + | 4.75756i | 1.01295 | + | 0.152677i | 0.634482 | − | 0.772938i | \(-0.281213\pi\) |
0.378466 | + | 0.925615i | \(0.376452\pi\) | |||||||
\(972\) | −6.07824 | + | 14.3546i | −0.194959 | + | 0.460425i | ||||
\(973\) | −31.5220 | − | 11.8199i | −1.01055 | − | 0.378930i | ||||
\(974\) | −0.921452 | + | 1.91341i | −0.0295252 | + | 0.0613098i | ||||
\(975\) | −1.34443 | − | 7.63906i | −0.0430564 | − | 0.244646i | ||||
\(976\) | 9.97775 | − | 10.7535i | 0.319380 | − | 0.344210i | ||||
\(977\) | −54.4560 | − | 4.08092i | −1.74220 | − | 0.130560i | −0.834727 | − | 0.550664i | \(-0.814375\pi\) |
−0.907476 | + | 0.420104i | \(0.861994\pi\) | |||||||
\(978\) | −21.0469 | + | 8.86403i | −0.673006 | + | 0.283440i | ||||
\(979\) | − | 8.29151i | − | 0.264998i | ||||||
\(980\) | −13.2714 | + | 2.41639i | −0.423938 | + | 0.0771886i | ||||
\(981\) | 1.22288 | − | 47.8000i | 0.0390437 | − | 1.52614i | ||||
\(982\) | 13.8361 | − | 35.2539i | 0.441528 | − | 1.12500i | ||||
\(983\) | 1.57046 | − | 20.9563i | 0.0500897 | − | 0.668401i | −0.914490 | − | 0.404609i | \(-0.867408\pi\) |
0.964580 | − | 0.263792i | \(-0.0849733\pi\) | |||||||
\(984\) | −0.274380 | − | 11.1464i | −0.00874692 | − | 0.355335i | ||||
\(985\) | −16.8790 | + | 24.7569i | −0.537808 | + | 0.788820i | ||||
\(986\) | −16.6700 | − | 8.02787i | −0.530882 | − | 0.255659i | ||||
\(987\) | −2.86130 | + | 5.44627i | −0.0910763 | + | 0.173357i | ||||
\(988\) | 17.4940 | − | 8.42468i | 0.556559 | − | 0.268025i | ||||
\(989\) | 0.610524 | − | 4.05056i | 0.0194135 | − | 0.128800i | ||||
\(990\) | 13.7104 | + | 21.2579i | 0.435745 | + | 0.675620i | ||||
\(991\) | 34.6953 | − | 5.22948i | 1.10213 | − | 0.166120i | 0.427314 | − | 0.904103i | \(-0.359460\pi\) |
0.674819 | + | 0.737984i | \(0.264222\pi\) | |||||||
\(992\) | −2.43694 | + | 2.26115i | −0.0773730 | + | 0.0717917i | ||||
\(993\) | 9.84744 | + | 1.23727i | 0.312499 | + | 0.0392635i | ||||
\(994\) | −22.2842 | + | 3.70722i | −0.706813 | + | 0.117586i | ||||
\(995\) | −16.2334 | − | 12.9457i | −0.514632 | − | 0.410405i | ||||
\(996\) | −13.6700 | − | 12.0717i | −0.433150 | − | 0.382505i | ||||
\(997\) | 4.64949 | − | 15.0733i | 0.147251 | − | 0.477375i | −0.851657 | − | 0.524099i | \(-0.824402\pi\) |
0.998908 | + | 0.0467244i | \(0.0148782\pi\) | |||||||
\(998\) | −7.62113 | − | 4.40006i | −0.241243 | − | 0.139282i | ||||
\(999\) | 14.8493 | − | 47.9755i | 0.469811 | − | 1.51788i |
(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 | 294.2.p.a.101.3 | ✓ | 216 | |
3.2 | odd | 2 | inner | 294.2.p.a.101.12 | yes | 216 | |
49.33 | odd | 42 | inner | 294.2.p.a.131.12 | yes | 216 | |
147.131 | even | 42 | inner | 294.2.p.a.131.3 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
294.2.p.a.101.3 | ✓ | 216 | 1.1 | even | 1 | trivial | |
294.2.p.a.101.12 | yes | 216 | 3.2 | odd | 2 | inner | |
294.2.p.a.131.3 | yes | 216 | 147.131 | even | 42 | inner | |
294.2.p.a.131.12 | yes | 216 | 49.33 | odd | 42 | inner |