Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 139.19 | ||
Character | \(\chi\) | \(=\) | 588.139 |
Dual form | 588.2.x.a.55.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.652439 | − | 1.25472i | 0.461344 | − | 0.887221i | ||||
\(3\) | −0.900969 | + | 0.433884i | −0.520175 | + | 0.250503i | ||||
\(4\) | −1.14865 | − | 1.63726i | −0.574323 | − | 0.818629i | ||||
\(5\) | −0.0842420 | − | 0.174930i | −0.0376742 | − | 0.0782312i | 0.881282 | − | 0.472590i | \(-0.156681\pi\) |
−0.918956 | + | 0.394359i | \(0.870967\pi\) | |||||||
\(6\) | −0.0434247 | + | 1.41355i | −0.0177281 | + | 0.577078i | ||||
\(7\) | 2.61856 | − | 0.378316i | 0.989724 | − | 0.142990i | ||||
\(8\) | −2.80372 | + | 0.373018i | −0.991265 | + | 0.131882i | ||||
\(9\) | 0.623490 | − | 0.781831i | 0.207830 | − | 0.260610i | ||||
\(10\) | −0.274451 | − | 0.00843125i | −0.0867891 | − | 0.00266620i | ||||
\(11\) | 1.26765 | − | 1.01092i | 0.382212 | − | 0.304804i | −0.413471 | − | 0.910517i | \(-0.635684\pi\) |
0.795683 | + | 0.605714i | \(0.207112\pi\) | |||||||
\(12\) | 1.74527 | + | 0.976739i | 0.503817 | + | 0.281960i | ||||
\(13\) | 3.76001 | − | 2.99851i | 1.04284 | − | 0.831637i | 0.0568405 | − | 0.998383i | \(-0.481897\pi\) |
0.986000 | + | 0.166746i | \(0.0533259\pi\) | |||||||
\(14\) | 1.23377 | − | 3.53239i | 0.329740 | − | 0.944072i | ||||
\(15\) | 0.151799 | + | 0.121055i | 0.0391943 | + | 0.0312564i | ||||
\(16\) | −1.36122 | + | 3.76126i | −0.340306 | + | 0.940315i | ||||
\(17\) | 1.09312 | − | 0.249496i | 0.265119 | − | 0.0605118i | −0.0878947 | − | 0.996130i | \(-0.528014\pi\) |
0.353014 | + | 0.935618i | \(0.385157\pi\) | |||||||
\(18\) | −0.574191 | − | 1.29240i | −0.135338 | − | 0.304622i | ||||
\(19\) | −6.56771 | −1.50673 | −0.753367 | − | 0.657600i | \(-0.771572\pi\) | ||||
−0.753367 | + | 0.657600i | \(0.771572\pi\) | |||||||
\(20\) | −0.189642 | + | 0.338859i | −0.0424052 | + | 0.0757711i | ||||
\(21\) | −2.19510 | + | 1.47700i | −0.479010 | + | 0.322309i | ||||
\(22\) | −0.441355 | − | 2.25011i | −0.0940971 | − | 0.479726i | ||||
\(23\) | −5.93966 | − | 1.35569i | −1.23850 | − | 0.282680i | −0.447384 | − | 0.894342i | \(-0.647644\pi\) |
−0.791120 | + | 0.611662i | \(0.790501\pi\) | |||||||
\(24\) | 2.36422 | − | 1.55257i | 0.482594 | − | 0.316917i | ||||
\(25\) | 3.09395 | − | 3.87968i | 0.618789 | − | 0.775937i | ||||
\(26\) | −1.30911 | − | 6.67411i | −0.256738 | − | 1.30890i | ||||
\(27\) | −0.222521 | + | 0.974928i | −0.0428242 | + | 0.187625i | ||||
\(28\) | −3.62720 | − | 3.85271i | −0.685477 | − | 0.728094i | ||||
\(29\) | −2.33762 | − | 10.2418i | −0.434085 | − | 1.90185i | −0.432040 | − | 0.901855i | \(-0.642206\pi\) |
−0.00204587 | − | 0.999998i | \(-0.500651\pi\) | |||||||
\(30\) | 0.250930 | − | 0.111484i | 0.0458134 | − | 0.0203540i | ||||
\(31\) | 4.97538 | 0.893605 | 0.446803 | − | 0.894633i | \(-0.352563\pi\) | ||||
0.446803 | + | 0.894633i | \(0.352563\pi\) | |||||||
\(32\) | 3.83121 | + | 4.16195i | 0.677269 | + | 0.735736i | ||||
\(33\) | −0.703494 | + | 1.46082i | −0.122463 | + | 0.254296i | ||||
\(34\) | 0.400143 | − | 1.53434i | 0.0686240 | − | 0.263136i | ||||
\(35\) | −0.286772 | − | 0.426196i | −0.0484733 | − | 0.0720403i | ||||
\(36\) | −1.99623 | − | 0.122766i | −0.332705 | − | 0.0204610i | ||||
\(37\) | −1.73582 | − | 7.60512i | −0.285367 | − | 1.25027i | −0.890806 | − | 0.454383i | \(-0.849860\pi\) |
0.605439 | − | 0.795891i | \(-0.292997\pi\) | |||||||
\(38\) | −4.28503 | + | 8.24063i | −0.695123 | + | 1.33681i | ||||
\(39\) | −2.08665 | + | 4.33297i | −0.334132 | + | 0.693831i | ||||
\(40\) | 0.301443 | + | 0.459032i | 0.0476624 | + | 0.0725793i | ||||
\(41\) | 1.79187 | + | 3.72085i | 0.279842 | + | 0.581099i | 0.992755 | − | 0.120154i | \(-0.0383388\pi\) |
−0.712913 | + | 0.701253i | \(0.752625\pi\) | |||||||
\(42\) | 0.421057 | + | 3.71789i | 0.0649706 | + | 0.573683i | ||||
\(43\) | −1.62030 | + | 3.36458i | −0.247093 | + | 0.513094i | −0.987218 | − | 0.159375i | \(-0.949052\pi\) |
0.740125 | + | 0.672469i | \(0.234766\pi\) | |||||||
\(44\) | −3.11122 | − | 0.914285i | −0.469034 | − | 0.137834i | ||||
\(45\) | −0.189290 | − | 0.0432042i | −0.0282177 | − | 0.00644050i | ||||
\(46\) | −5.57627 | + | 6.56810i | −0.822177 | + | 0.968414i | ||||
\(47\) | 0.502093 | + | 0.629604i | 0.0732378 | + | 0.0918372i | 0.817101 | − | 0.576495i | \(-0.195580\pi\) |
−0.743863 | + | 0.668332i | \(0.767009\pi\) | |||||||
\(48\) | −0.405528 | − | 3.97939i | −0.0585330 | − | 0.574376i | ||||
\(49\) | 6.71375 | − | 1.98129i | 0.959108 | − | 0.283041i | ||||
\(50\) | −2.84931 | − | 6.41329i | −0.402953 | − | 0.906977i | ||||
\(51\) | −0.876611 | + | 0.699074i | −0.122750 | + | 0.0978899i | ||||
\(52\) | −9.22826 | − | 2.71188i | −1.27973 | − | 0.376071i | ||||
\(53\) | −3.09964 | + | 13.5804i | −0.425769 | + | 1.86542i | 0.0709122 | + | 0.997483i | \(0.477409\pi\) |
−0.496681 | + | 0.867933i | \(0.665448\pi\) | |||||||
\(54\) | 1.07808 | + | 0.915283i | 0.146708 | + | 0.124554i | ||||
\(55\) | −0.283630 | − | 0.136589i | −0.0382446 | − | 0.0184176i | ||||
\(56\) | −7.20061 | + | 2.03747i | −0.962221 | + | 0.272268i | ||||
\(57\) | 5.91730 | − | 2.84962i | 0.783765 | − | 0.377441i | ||||
\(58\) | −14.3757 | − | 3.74908i | −1.88763 | − | 0.492279i | ||||
\(59\) | 11.7511 | + | 5.65905i | 1.52987 | + | 0.736745i | 0.994186 | − | 0.107675i | \(-0.0343406\pi\) |
0.535681 | + | 0.844420i | \(0.320055\pi\) | |||||||
\(60\) | 0.0238359 | − | 0.387584i | 0.00307721 | − | 0.0500368i | ||||
\(61\) | 9.88689 | − | 2.25662i | 1.26589 | − | 0.288930i | 0.463694 | − | 0.885995i | \(-0.346524\pi\) |
0.802193 | + | 0.597065i | \(0.203667\pi\) | |||||||
\(62\) | 3.24613 | − | 6.24271i | 0.412260 | − | 0.792825i | ||||
\(63\) | 1.33687 | − | 2.28315i | 0.168430 | − | 0.287650i | ||||
\(64\) | 7.72171 | − | 2.09168i | 0.965214 | − | 0.261460i | ||||
\(65\) | −0.841281 | − | 0.405140i | −0.104348 | − | 0.0502514i | ||||
\(66\) | 1.37393 | + | 1.83578i | 0.169120 | + | 0.225970i | ||||
\(67\) | − | 9.60101i | − | 1.17295i | −0.809967 | − | 0.586475i | \(-0.800515\pi\) | ||
0.809967 | − | 0.586475i | \(-0.199485\pi\) | |||||||
\(68\) | −1.66409 | − | 1.50313i | −0.201801 | − | 0.182281i | ||||
\(69\) | 5.93966 | − | 1.35569i | 0.715050 | − | 0.163206i | ||||
\(70\) | −0.721858 | + | 0.0817516i | −0.0862785 | + | 0.00977119i | ||||
\(71\) | −10.0370 | − | 2.29089i | −1.19118 | − | 0.271878i | −0.419417 | − | 0.907794i | \(-0.637766\pi\) |
−0.771759 | + | 0.635915i | \(0.780623\pi\) | |||||||
\(72\) | −1.45645 | + | 2.42461i | −0.171645 | + | 0.285743i | ||||
\(73\) | 2.14613 | + | 1.71148i | 0.251186 | + | 0.200314i | 0.740986 | − | 0.671521i | \(-0.234359\pi\) |
−0.489800 | + | 0.871835i | \(0.662930\pi\) | |||||||
\(74\) | −10.6748 | − | 2.78391i | −1.24092 | − | 0.323623i | ||||
\(75\) | −1.10422 | + | 4.83789i | −0.127504 | + | 0.558631i | ||||
\(76\) | 7.54397 | + | 10.7530i | 0.865353 | + | 1.23346i | ||||
\(77\) | 2.93698 | − | 3.12673i | 0.334700 | − | 0.356324i | ||||
\(78\) | 4.07526 | + | 5.44517i | 0.461432 | + | 0.616544i | ||||
\(79\) | 13.3933i | 1.50687i | 0.657524 | + | 0.753434i | \(0.271604\pi\) | ||||
−0.657524 | + | 0.753434i | \(0.728396\pi\) | |||||||
\(80\) | 0.772630 | − | 0.0787365i | 0.0863827 | − | 0.00880301i | ||||
\(81\) | −0.222521 | − | 0.974928i | −0.0247245 | − | 0.108325i | ||||
\(82\) | 5.83770 | + | 0.179337i | 0.644667 | + | 0.0198044i | ||||
\(83\) | −3.09776 | + | 3.88447i | −0.340024 | + | 0.426376i | −0.922216 | − | 0.386675i | \(-0.873624\pi\) |
0.582192 | + | 0.813051i | \(0.302195\pi\) | |||||||
\(84\) | 4.93963 | + | 1.89739i | 0.538958 | + | 0.207022i | ||||
\(85\) | −0.135731 | − | 0.170201i | −0.0147221 | − | 0.0184609i | ||||
\(86\) | 3.16446 | + | 4.22821i | 0.341233 | + | 0.455939i | ||||
\(87\) | 6.54987 | + | 8.21328i | 0.702220 | + | 0.880556i | ||||
\(88\) | −3.17705 | + | 3.30719i | −0.338675 | + | 0.352548i | ||||
\(89\) | −1.41782 | − | 1.13068i | −0.150289 | − | 0.119851i | 0.545459 | − | 0.838138i | \(-0.316355\pi\) |
−0.695748 | + | 0.718286i | \(0.744927\pi\) | |||||||
\(90\) | −0.177709 | + | 0.209318i | −0.0187322 | + | 0.0220640i | ||||
\(91\) | 8.71145 | − | 9.27427i | 0.913208 | − | 0.972208i | ||||
\(92\) | 4.60295 | + | 11.2820i | 0.479891 | + | 1.17622i | ||||
\(93\) | −4.48266 | + | 2.15874i | −0.464831 | + | 0.223851i | ||||
\(94\) | 1.11756 | − | 0.219207i | 0.115268 | − | 0.0226095i | ||||
\(95\) | 0.553276 | + | 1.14889i | 0.0567650 | + | 0.117874i | ||||
\(96\) | −5.25760 | − | 2.08749i | −0.536602 | − | 0.213053i | ||||
\(97\) | 16.9791i | 1.72397i | 0.506933 | + | 0.861985i | \(0.330779\pi\) | ||||
−0.506933 | + | 0.861985i | \(0.669221\pi\) | |||||||
\(98\) | 1.89435 | − | 9.71655i | 0.191358 | − | 0.981520i | ||||
\(99\) | − | 1.62139i | − | 0.162956i | ||||||
\(100\) | −9.90589 | − | 0.609201i | −0.990589 | − | 0.0609201i | ||||
\(101\) | −3.12183 | − | 6.48255i | −0.310634 | − | 0.645038i | 0.685948 | − | 0.727651i | \(-0.259388\pi\) |
−0.996582 | + | 0.0826127i | \(0.973674\pi\) | |||||||
\(102\) | 0.305207 | + | 1.55600i | 0.0302200 | + | 0.154067i | ||||
\(103\) | 12.5895 | − | 6.06280i | 1.24048 | − | 0.597386i | 0.305540 | − | 0.952179i | \(-0.401163\pi\) |
0.934945 | + | 0.354794i | \(0.115449\pi\) | |||||||
\(104\) | −9.42354 | + | 9.80955i | −0.924054 | + | 0.961905i | ||||
\(105\) | 0.443292 | + | 0.259564i | 0.0432609 | + | 0.0253308i | ||||
\(106\) | 15.0173 | + | 12.7496i | 1.45861 | + | 1.23835i | ||||
\(107\) | −3.78731 | − | 3.02028i | −0.366133 | − | 0.291981i | 0.423091 | − | 0.906087i | \(-0.360945\pi\) |
−0.789223 | + | 0.614106i | \(0.789517\pi\) | |||||||
\(108\) | 1.85181 | − | 0.755523i | 0.178190 | − | 0.0727002i | ||||
\(109\) | 7.69923 | + | 9.65453i | 0.737453 | + | 0.924736i | 0.999183 | − | 0.0404046i | \(-0.0128647\pi\) |
−0.261731 | + | 0.965141i | \(0.584293\pi\) | |||||||
\(110\) | −0.356432 | + | 0.266760i | −0.0339845 | + | 0.0254346i | ||||
\(111\) | 4.86366 | + | 6.09883i | 0.461638 | + | 0.578876i | ||||
\(112\) | −2.14151 | + | 10.3641i | −0.202353 | + | 0.979313i | ||||
\(113\) | −0.602171 | + | 0.755098i | −0.0566474 | + | 0.0710336i | −0.809348 | − | 0.587329i | \(-0.800179\pi\) |
0.752701 | + | 0.658363i | \(0.228751\pi\) | |||||||
\(114\) | 0.285201 | − | 9.28376i | 0.0267115 | − | 0.869504i | ||||
\(115\) | 0.263217 | + | 1.15323i | 0.0245452 | + | 0.107539i | ||||
\(116\) | −14.0833 | + | 15.5915i | −1.30761 | + | 1.44763i | ||||
\(117\) | − | 4.80924i | − | 0.444614i | ||||||
\(118\) | 14.7674 | − | 11.0522i | 1.35945 | − | 1.01744i | ||||
\(119\) | 2.76800 | − | 1.06687i | 0.253743 | − | 0.0977994i | ||||
\(120\) | −0.470757 | − | 0.282782i | −0.0429741 | − | 0.0258144i | ||||
\(121\) | −1.86274 | + | 8.16122i | −0.169340 | + | 0.741929i | ||||
\(122\) | 3.61917 | − | 13.8776i | 0.327664 | − | 1.25642i | ||||
\(123\) | −3.22883 | − | 2.57491i | −0.291134 | − | 0.232171i | ||||
\(124\) | −5.71495 | − | 8.14598i | −0.513218 | − | 0.731531i | ||||
\(125\) | −1.88576 | − | 0.430413i | −0.168668 | − | 0.0384973i | ||||
\(126\) | −1.99249 | − | 3.16701i | −0.177505 | − | 0.282140i | ||||
\(127\) | 15.9501 | − | 3.64051i | 1.41535 | − | 0.323043i | 0.554616 | − | 0.832106i | \(-0.312865\pi\) |
0.860729 | + | 0.509063i | \(0.170008\pi\) | |||||||
\(128\) | 2.41348 | − | 11.0533i | 0.213323 | − | 0.976982i | ||||
\(129\) | − | 3.73440i | − | 0.328796i | ||||||
\(130\) | −1.05722 | + | 0.791244i | −0.0927245 | + | 0.0693967i | ||||
\(131\) | −2.85813 | − | 1.37640i | −0.249716 | − | 0.120257i | 0.304839 | − | 0.952404i | \(-0.401397\pi\) |
−0.554555 | + | 0.832147i | \(0.687112\pi\) | |||||||
\(132\) | 3.19981 | − | 0.526165i | 0.278507 | − | 0.0457968i | ||||
\(133\) | −17.1980 | + | 2.48467i | −1.49125 | + | 0.215448i | ||||
\(134\) | −12.0466 | − | 6.26407i | −1.04067 | − | 0.541134i | ||||
\(135\) | 0.189290 | − | 0.0432042i | 0.0162915 | − | 0.00371843i | ||||
\(136\) | −2.97173 | + | 1.10727i | −0.254823 | + | 0.0949477i | ||||
\(137\) | 11.7179 | + | 5.64305i | 1.00113 | + | 0.482119i | 0.861322 | − | 0.508060i | \(-0.169637\pi\) |
0.139808 | + | 0.990179i | \(0.455352\pi\) | |||||||
\(138\) | 2.17426 | − | 8.33711i | 0.185085 | − | 0.709702i | ||||
\(139\) | −7.62414 | + | 3.67159i | −0.646671 | + | 0.311420i | −0.728316 | − | 0.685241i | \(-0.759697\pi\) |
0.0816454 | + | 0.996661i | \(0.473983\pi\) | |||||||
\(140\) | −0.368393 | + | 0.959068i | −0.0311349 | + | 0.0810560i | ||||
\(141\) | −0.725545 | − | 0.349404i | −0.0611019 | − | 0.0294251i | ||||
\(142\) | −9.42297 | + | 11.0990i | −0.790758 | + | 0.931407i | ||||
\(143\) | 1.73514 | − | 7.60214i | 0.145100 | − | 0.635723i | ||||
\(144\) | 2.09196 | + | 3.40935i | 0.174330 | + | 0.284113i | ||||
\(145\) | −1.59467 | + | 1.27171i | −0.132430 | + | 0.105610i | ||||
\(146\) | 3.54766 | − | 1.57616i | 0.293606 | − | 0.130444i | ||||
\(147\) | −5.18923 | + | 4.69807i | −0.428001 | + | 0.387490i | ||||
\(148\) | −10.4577 | + | 11.5776i | −0.859618 | + | 0.951671i | ||||
\(149\) | −5.26130 | − | 6.59746i | −0.431022 | − | 0.540485i | 0.518130 | − | 0.855302i | \(-0.326628\pi\) |
−0.949152 | + | 0.314817i | \(0.898057\pi\) | |||||||
\(150\) | 5.34976 | + | 4.54191i | 0.436806 | + | 0.370845i | ||||
\(151\) | 2.77193 | + | 0.632674i | 0.225576 | + | 0.0514863i | 0.333815 | − | 0.942639i | \(-0.391664\pi\) |
−0.108239 | + | 0.994125i | \(0.534521\pi\) | |||||||
\(152\) | 18.4140 | − | 2.44988i | 1.49357 | − | 0.198711i | ||||
\(153\) | 0.486482 | − | 1.01019i | 0.0393298 | − | 0.0816691i | ||||
\(154\) | −2.00697 | − | 5.72509i | −0.161726 | − | 0.461341i | ||||
\(155\) | −0.419136 | − | 0.870345i | −0.0336658 | − | 0.0699078i | ||||
\(156\) | 9.49102 | − | 1.56067i | 0.759890 | − | 0.124954i | ||||
\(157\) | −3.64906 | + | 7.57735i | −0.291227 | + | 0.604738i | −0.994329 | − | 0.106351i | \(-0.966083\pi\) |
0.703102 | + | 0.711089i | \(0.251798\pi\) | |||||||
\(158\) | 16.8049 | + | 8.73834i | 1.33693 | + | 0.695185i | ||||
\(159\) | −3.09964 | − | 13.5804i | −0.245818 | − | 1.07700i | ||||
\(160\) | 0.405302 | − | 1.02081i | 0.0320419 | − | 0.0807018i | ||||
\(161\) | −16.0662 | − | 1.30289i | −1.26620 | − | 0.102682i | ||||
\(162\) | −1.36844 | − | 0.356880i | −0.107515 | − | 0.0280391i | ||||
\(163\) | 5.89332 | − | 12.2376i | 0.461601 | − | 0.958523i | −0.532124 | − | 0.846667i | \(-0.678606\pi\) |
0.993724 | − | 0.111857i | \(-0.0356798\pi\) | |||||||
\(164\) | 4.03376 | − | 7.20768i | 0.314984 | − | 0.562825i | ||||
\(165\) | 0.314805 | 0.0245076 | ||||||||
\(166\) | 2.85282 | + | 6.42121i | 0.221422 | + | 0.498383i | ||||
\(167\) | 4.72036 | + | 20.6812i | 0.365272 | + | 1.60036i | 0.739587 | + | 0.673061i | \(0.235021\pi\) |
−0.374315 | + | 0.927302i | \(0.622122\pi\) | |||||||
\(168\) | 5.60350 | − | 4.95992i | 0.432319 | − | 0.382666i | ||||
\(169\) | 2.25387 | − | 9.87483i | 0.173374 | − | 0.759602i | ||||
\(170\) | −0.302111 | + | 0.0592583i | −0.0231708 | + | 0.00454490i | ||||
\(171\) | −4.09490 | + | 5.13484i | −0.313145 | + | 0.392671i | ||||
\(172\) | 7.36984 | − | 1.21187i | 0.561945 | − | 0.0924042i | ||||
\(173\) | −15.6096 | − | 3.56278i | −1.18677 | − | 0.270873i | −0.416829 | − | 0.908985i | \(-0.636859\pi\) |
−0.769944 | + | 0.638112i | \(0.779716\pi\) | |||||||
\(174\) | 14.5788 | − | 2.85959i | 1.10521 | − | 0.216785i | ||||
\(175\) | 6.63395 | − | 11.3297i | 0.501479 | − | 0.856444i | ||||
\(176\) | 2.07677 | + | 6.14406i | 0.156542 | + | 0.463126i | ||||
\(177\) | −13.0428 | −0.980355 | ||||||||
\(178\) | −2.34372 | + | 1.04127i | −0.175669 | + | 0.0780467i | ||||
\(179\) | −12.6591 | + | 2.88935i | −0.946182 | + | 0.215960i | −0.667657 | − | 0.744469i | \(-0.732703\pi\) |
−0.278525 | + | 0.960429i | \(0.589846\pi\) | |||||||
\(180\) | 0.146691 | + | 0.359543i | 0.0109337 | + | 0.0267987i | ||||
\(181\) | 2.76784 | + | 2.20728i | 0.205732 | + | 0.164066i | 0.720936 | − | 0.693002i | \(-0.243712\pi\) |
−0.515204 | + | 0.857068i | \(0.672284\pi\) | |||||||
\(182\) | −5.95292 | − | 16.9813i | −0.441260 | − | 1.25874i | ||||
\(183\) | −7.92867 | + | 6.32290i | −0.586104 | + | 0.467402i | ||||
\(184\) | 17.1588 | + | 1.58537i | 1.26497 | + | 0.116875i | ||||
\(185\) | −1.18414 | + | 0.944318i | −0.0870595 | + | 0.0694276i | ||||
\(186\) | −0.216055 | + | 7.03294i | −0.0158419 | + | 0.515680i | ||||
\(187\) | 1.13347 | − | 1.42133i | 0.0828875 | − | 0.103938i | ||||
\(188\) | 0.454098 | − | 1.54525i | 0.0331185 | − | 0.112699i | ||||
\(189\) | −0.213854 | + | 2.63709i | −0.0155556 | + | 0.191820i | ||||
\(190\) | 1.80252 | + | 0.0553740i | 0.130768 | + | 0.00401725i | ||||
\(191\) | 2.84880 | + | 5.91559i | 0.206132 | + | 0.428037i | 0.978246 | − | 0.207446i | \(-0.0665152\pi\) |
−0.772115 | + | 0.635483i | \(0.780801\pi\) | |||||||
\(192\) | −6.04948 | + | 5.23487i | −0.436583 | + | 0.377794i | ||||
\(193\) | −5.13759 | + | 2.47413i | −0.369812 | + | 0.178092i | −0.609554 | − | 0.792745i | \(-0.708651\pi\) |
0.239742 | + | 0.970837i | \(0.422937\pi\) | |||||||
\(194\) | 21.3041 | + | 11.0779i | 1.52954 | + | 0.795344i | ||||
\(195\) | 0.933752 | 0.0668674 | ||||||||
\(196\) | −10.9556 | − | 8.71634i | −0.782544 | − | 0.622596i | ||||
\(197\) | 16.7730 | 1.19503 | 0.597514 | − | 0.801859i | \(-0.296155\pi\) | ||||
0.597514 | + | 0.801859i | \(0.296155\pi\) | |||||||
\(198\) | −2.03439 | − | 1.05786i | −0.144578 | − | 0.0751787i | ||||
\(199\) | 8.51555 | − | 4.10087i | 0.603651 | − | 0.290703i | −0.106987 | − | 0.994260i | \(-0.534120\pi\) |
0.710639 | + | 0.703557i | \(0.248406\pi\) | |||||||
\(200\) | −7.22737 | + | 12.0317i | −0.511052 | + | 0.850767i | ||||
\(201\) | 4.16572 | + | 8.65021i | 0.293827 | + | 0.610139i | ||||
\(202\) | −10.1706 | − | 0.312445i | −0.715601 | − | 0.0219835i | ||||
\(203\) | −9.99585 | − | 25.9344i | −0.701571 | − | 1.82024i | ||||
\(204\) | 2.15148 | + | 0.632249i | 0.150634 | + | 0.0442663i | ||||
\(205\) | 0.499938 | − | 0.626903i | 0.0349172 | − | 0.0437848i | ||||
\(206\) | 0.606788 | − | 19.7520i | 0.0422769 | − | 1.37618i | ||||
\(207\) | −4.76323 | + | 3.79855i | −0.331068 | + | 0.264018i | ||||
\(208\) | 6.15995 | + | 18.2240i | 0.427116 | + | 1.26361i | ||||
\(209\) | −8.32557 | + | 6.63942i | −0.575892 | + | 0.459258i | ||||
\(210\) | 0.614901 | − | 0.386858i | 0.0424322 | − | 0.0266957i | ||||
\(211\) | −9.35137 | − | 7.45747i | −0.643775 | − | 0.513393i | 0.246308 | − | 0.969192i | \(-0.420782\pi\) |
−0.890083 | + | 0.455798i | \(0.849354\pi\) | |||||||
\(212\) | 25.7951 | − | 10.5242i | 1.77161 | − | 0.722804i | ||||
\(213\) | 10.0370 | − | 2.29089i | 0.687726 | − | 0.156969i | ||||
\(214\) | −6.26059 | + | 2.78146i | −0.427965 | + | 0.190137i | ||||
\(215\) | 0.725064 | 0.0494490 | ||||||||
\(216\) | 0.260221 | − | 2.81643i | 0.0177058 | − | 0.191634i | ||||
\(217\) | 13.0284 | − | 1.88227i | 0.884422 | − | 0.127777i | ||||
\(218\) | 17.1370 | − | 3.36139i | 1.16067 | − | 0.227662i | ||||
\(219\) | −2.67619 | − | 0.610822i | −0.180840 | − | 0.0412755i | ||||
\(220\) | 0.102159 | + | 0.621267i | 0.00688756 | + | 0.0418858i | ||||
\(221\) | 3.36201 | − | 4.21583i | 0.226153 | − | 0.283587i | ||||
\(222\) | 10.8256 | − | 2.12341i | 0.726565 | − | 0.142514i | ||||
\(223\) | 0.649689 | − | 2.84647i | 0.0435064 | − | 0.190614i | −0.948505 | − | 0.316762i | \(-0.897404\pi\) |
0.992011 | + | 0.126148i | \(0.0402615\pi\) | |||||||
\(224\) | 11.6068 | + | 9.44892i | 0.775512 | + | 0.631332i | ||||
\(225\) | −1.10422 | − | 4.83789i | −0.0736144 | − | 0.322526i | ||||
\(226\) | 0.554557 | + | 1.24821i | 0.0368886 | + | 0.0830298i | ||||
\(227\) | 11.5849 | 0.768918 | 0.384459 | − | 0.923142i | \(-0.374388\pi\) | ||||
0.384459 | + | 0.923142i | \(0.374388\pi\) | |||||||
\(228\) | −11.4624 | − | 6.41494i | −0.759119 | − | 0.424839i | ||||
\(229\) | −2.59462 | + | 5.38779i | −0.171458 | + | 0.356035i | −0.968936 | − | 0.247312i | \(-0.920453\pi\) |
0.797478 | + | 0.603348i | \(0.206167\pi\) | |||||||
\(230\) | 1.61872 | + | 0.422149i | 0.106735 | + | 0.0278357i | ||||
\(231\) | −1.28949 | + | 4.09140i | −0.0848424 | + | 0.269194i | ||||
\(232\) | 10.3744 | + | 27.8432i | 0.681114 | + | 1.82799i | ||||
\(233\) | 1.67477 | + | 7.33765i | 0.109718 | + | 0.480706i | 0.999695 | + | 0.0247002i | \(0.00786311\pi\) |
−0.889977 | + | 0.456005i | \(0.849280\pi\) | |||||||
\(234\) | −6.03425 | − | 3.13774i | −0.394471 | − | 0.205120i | ||||
\(235\) | 0.0678396 | − | 0.140870i | 0.00442537 | − | 0.00918937i | ||||
\(236\) | −4.23258 | − | 25.7399i | −0.275517 | − | 1.67552i | ||||
\(237\) | −5.81115 | − | 12.0670i | −0.377475 | − | 0.783834i | ||||
\(238\) | 0.467336 | − | 4.16914i | 0.0302929 | − | 0.270245i | ||||
\(239\) | −1.93460 | + | 4.01723i | −0.125139 | + | 0.259853i | −0.954121 | − | 0.299422i | \(-0.903206\pi\) |
0.828982 | + | 0.559275i | \(0.188920\pi\) | |||||||
\(240\) | −0.661953 | + | 0.406171i | −0.0427289 | + | 0.0262182i | ||||
\(241\) | −11.9723 | − | 2.73261i | −0.771206 | − | 0.176023i | −0.181227 | − | 0.983441i | \(-0.558007\pi\) |
−0.589979 | + | 0.807419i | \(0.700864\pi\) | |||||||
\(242\) | 9.02472 | + | 7.66192i | 0.580131 | + | 0.492527i | ||||
\(243\) | 0.623490 | + | 0.781831i | 0.0399969 | + | 0.0501545i | ||||
\(244\) | −15.0512 | − | 13.5953i | −0.963555 | − | 0.870352i | ||||
\(245\) | −0.912167 | − | 1.00753i | −0.0582762 | − | 0.0643688i | ||||
\(246\) | −5.33740 | + | 2.37131i | −0.340300 | + | 0.151189i | ||||
\(247\) | −24.6947 | + | 19.6933i | −1.57128 | + | 1.25306i | ||||
\(248\) | −13.9496 | + | 1.85591i | −0.885800 | + | 0.117850i | ||||
\(249\) | 1.10558 | − | 4.84386i | 0.0700632 | − | 0.306967i | ||||
\(250\) | −1.77039 | + | 2.08529i | −0.111970 | + | 0.131885i | ||||
\(251\) | 0.110904 | + | 0.0534085i | 0.00700019 | + | 0.00337111i | 0.437381 | − | 0.899277i | \(-0.355906\pi\) |
−0.430380 | + | 0.902648i | \(0.641621\pi\) | |||||||
\(252\) | −5.27370 | + | 0.433736i | −0.332212 | + | 0.0273228i | ||||
\(253\) | −8.89991 | + | 4.28597i | −0.559533 | + | 0.269457i | ||||
\(254\) | 5.83867 | − | 22.3882i | 0.366350 | − | 1.40476i | ||||
\(255\) | 0.196137 | + | 0.0944544i | 0.0122825 | + | 0.00591496i | ||||
\(256\) | −12.2941 | − | 10.2398i | −0.768384 | − | 0.639990i | ||||
\(257\) | −5.41363 | + | 1.23563i | −0.337693 | + | 0.0770762i | −0.388005 | − | 0.921657i | \(-0.626836\pi\) |
0.0503118 | + | 0.998734i | \(0.483978\pi\) | |||||||
\(258\) | −4.68563 | − | 2.43647i | −0.291715 | − | 0.151688i | ||||
\(259\) | −7.42250 | − | 19.2578i | −0.461211 | − | 1.19662i | ||||
\(260\) | 0.303016 | + | 1.84276i | 0.0187923 | + | 0.114283i | ||||
\(261\) | −9.46484 | − | 4.55803i | −0.585859 | − | 0.282135i | ||||
\(262\) | −3.59175 | + | 2.68813i | −0.221899 | + | 0.166073i | ||||
\(263\) | − | 8.95783i | − | 0.552363i | −0.961105 | − | 0.276182i | \(-0.910931\pi\) | ||
0.961105 | − | 0.276182i | \(-0.0890691\pi\) | |||||||
\(264\) | 1.42749 | − | 4.35815i | 0.0878559 | − | 0.268226i | ||||
\(265\) | 2.63675 | − | 0.601821i | 0.161974 | − | 0.0369695i | ||||
\(266\) | −8.10306 | + | 23.1997i | −0.496830 | + | 1.42247i | ||||
\(267\) | 1.76799 | + | 0.403533i | 0.108200 | + | 0.0246958i | ||||
\(268\) | −15.7193 | + | 11.0282i | −0.960211 | + | 0.673652i | ||||
\(269\) | 12.2504 | + | 9.76934i | 0.746918 | + | 0.595647i | 0.921219 | − | 0.389045i | \(-0.127195\pi\) |
−0.174301 | + | 0.984692i | \(0.555766\pi\) | |||||||
\(270\) | 0.0692910 | − | 0.265694i | 0.00421692 | − | 0.0161696i | ||||
\(271\) | −3.68350 | + | 16.1385i | −0.223757 | + | 0.980341i | 0.730866 | + | 0.682521i | \(0.239117\pi\) |
−0.954622 | + | 0.297820i | \(0.903741\pi\) | |||||||
\(272\) | −0.549555 | + | 4.45111i | −0.0333216 | + | 0.269888i | ||||
\(273\) | −3.82479 | + | 12.1356i | −0.231487 | + | 0.734479i | ||||
\(274\) | 14.7257 | − | 11.0210i | 0.889611 | − | 0.665801i | ||||
\(275\) | − | 8.04582i | − | 0.485181i | ||||||
\(276\) | −9.04217 | − | 8.16754i | −0.544275 | − | 0.491628i | ||||
\(277\) | 0.168400 | + | 0.737810i | 0.0101182 | + | 0.0443307i | 0.979735 | − | 0.200298i | \(-0.0641911\pi\) |
−0.969617 | + | 0.244629i | \(0.921334\pi\) | |||||||
\(278\) | −0.367467 | + | 11.9616i | −0.0220392 | + | 0.717412i | ||||
\(279\) | 3.10210 | − | 3.88991i | 0.185718 | − | 0.232883i | ||||
\(280\) | 0.963008 | + | 1.08796i | 0.0575507 | + | 0.0650183i | ||||
\(281\) | −6.64513 | − | 8.33272i | −0.396415 | − | 0.497089i | 0.543066 | − | 0.839690i | \(-0.317263\pi\) |
−0.939481 | + | 0.342601i | \(0.888692\pi\) | |||||||
\(282\) | −0.911778 | + | 0.682391i | −0.0542956 | + | 0.0406358i | ||||
\(283\) | −4.43929 | − | 5.56669i | −0.263888 | − | 0.330906i | 0.632180 | − | 0.774822i | \(-0.282160\pi\) |
−0.896068 | + | 0.443916i | \(0.853589\pi\) | |||||||
\(284\) | 7.77822 | + | 19.0646i | 0.461553 | + | 1.13128i | ||||
\(285\) | −0.996970 | − | 0.795057i | −0.0590554 | − | 0.0470951i | ||||
\(286\) | −8.40649 | − | 7.13705i | −0.497086 | − | 0.422023i | ||||
\(287\) | 6.09977 | + | 9.06538i | 0.360058 | + | 0.535113i | ||||
\(288\) | 5.64266 | − | 0.400429i | 0.332497 | − | 0.0235955i | ||||
\(289\) | −14.1838 | + | 6.83057i | −0.834342 | + | 0.401798i | ||||
\(290\) | 0.555212 | + | 2.83058i | 0.0326032 | + | 0.166217i | ||||
\(291\) | −7.36697 | − | 15.2977i | −0.431860 | − | 0.896766i | ||||
\(292\) | 0.336993 | − | 5.47966i | 0.0197210 | − | 0.320673i | ||||
\(293\) | 3.51162i | 0.205151i | 0.994725 | + | 0.102576i | \(0.0327083\pi\) | ||||
−0.994725 | + | 0.102576i | \(0.967292\pi\) | |||||||
\(294\) | 2.50910 | + | 9.57624i | 0.146334 | + | 0.558498i | ||||
\(295\) | − | 2.53236i | − | 0.147440i | ||||||
\(296\) | 7.70361 | + | 20.6752i | 0.447763 | + | 1.20172i | ||||
\(297\) | 0.703494 | + | 1.46082i | 0.0408209 | + | 0.0847654i | ||||
\(298\) | −11.7106 | + | 2.29702i | −0.678379 | + | 0.133063i | ||||
\(299\) | −26.3982 | + | 12.7127i | −1.52665 | + | 0.735196i | ||||
\(300\) | 9.18922 | − | 3.74913i | 0.530540 | − | 0.216456i | ||||
\(301\) | −2.96998 | + | 9.42336i | −0.171187 | + | 0.543153i | ||||
\(302\) | 2.60234 | − | 3.06521i | 0.149748 | − | 0.176383i | ||||
\(303\) | 5.62535 | + | 4.48607i | 0.323168 | + | 0.257718i | ||||
\(304\) | 8.94012 | − | 24.7028i | 0.512751 | − | 1.41681i | ||||
\(305\) | −1.22764 | − | 1.53941i | −0.0702946 | − | 0.0881466i | ||||
\(306\) | −0.950107 | − | 1.26949i | −0.0543140 | − | 0.0725717i | ||||
\(307\) | 5.61522 | + | 7.04126i | 0.320478 | + | 0.401866i | 0.915809 | − | 0.401614i | \(-0.131551\pi\) |
−0.595331 | + | 0.803480i | \(0.702979\pi\) | |||||||
\(308\) | −8.49282 | − | 1.21709i | −0.483923 | − | 0.0693501i | ||||
\(309\) | −8.71223 | + | 10.9248i | −0.495622 | + | 0.621490i | ||||
\(310\) | −1.36550 | − | 0.0419487i | −0.0775552 | − | 0.00238253i | ||||
\(311\) | 3.93664 | + | 17.2476i | 0.223227 | + | 0.978020i | 0.955031 | + | 0.296505i | \(0.0958212\pi\) |
−0.731805 | + | 0.681515i | \(0.761322\pi\) | |||||||
\(312\) | 4.23411 | − | 12.9268i | 0.239709 | − | 0.731837i | ||||
\(313\) | − | 21.7956i | − | 1.23196i | −0.787761 | − | 0.615981i | \(-0.788760\pi\) | ||
0.787761 | − | 0.615981i | \(-0.211240\pi\) | |||||||
\(314\) | 7.12666 | + | 9.52231i | 0.402181 | + | 0.537375i | ||||
\(315\) | −0.512013 | − | 0.0415215i | −0.0288486 | − | 0.00233947i | ||||
\(316\) | 21.9283 | − | 15.3842i | 1.23357 | − | 0.865429i | ||||
\(317\) | 0.613582 | − | 2.68828i | 0.0344622 | − | 0.150989i | −0.954769 | − | 0.297347i | \(-0.903898\pi\) |
0.989232 | + | 0.146358i | \(0.0467553\pi\) | |||||||
\(318\) | −19.0620 | − | 4.97122i | −1.06894 | − | 0.278772i | ||||
\(319\) | −13.3169 | − | 10.6199i | −0.745604 | − | 0.594599i | ||||
\(320\) | −1.01639 | − | 1.17455i | −0.0568180 | − | 0.0656596i | ||||
\(321\) | 4.72270 | + | 1.07792i | 0.263595 | + | 0.0601639i | ||||
\(322\) | −12.1170 | + | 19.3086i | −0.675254 | + | 1.07603i | ||||
\(323\) | −7.17926 | + | 1.63862i | −0.399465 | + | 0.0911752i | ||||
\(324\) | −1.34061 | + | 1.48417i | −0.0744783 | + | 0.0824540i | ||||
\(325\) | − | 23.8649i | − | 1.32379i | ||||||
\(326\) | −11.5097 | − | 15.3788i | −0.637466 | − | 0.851751i | ||||
\(327\) | −11.1257 | − | 5.35786i | −0.615253 | − | 0.296290i | ||||
\(328\) | −6.41184 | − | 9.76382i | −0.354034 | − | 0.539117i | ||||
\(329\) | 1.55295 | + | 1.45871i | 0.0856170 | + | 0.0804213i | ||||
\(330\) | 0.205391 | − | 0.394993i | 0.0113064 | − | 0.0217436i | ||||
\(331\) | −18.5599 | + | 4.23618i | −1.02014 | + | 0.232841i | −0.699708 | − | 0.714429i | \(-0.746687\pi\) |
−0.320436 | + | 0.947270i | \(0.603830\pi\) | |||||||
\(332\) | 9.91812 | + | 0.609953i | 0.544327 | + | 0.0334755i | ||||
\(333\) | −7.02819 | − | 3.38460i | −0.385142 | − | 0.185475i | ||||
\(334\) | 29.0289 | + | 7.57052i | 1.58839 | + | 0.414241i | ||||
\(335\) | −1.67951 | + | 0.808808i | −0.0917613 | + | 0.0441899i | ||||
\(336\) | −2.56737 | − | 10.2669i | −0.140061 | − | 0.560104i | ||||
\(337\) | 13.4093 | + | 6.45757i | 0.730450 | + | 0.351766i | 0.761861 | − | 0.647740i | \(-0.224286\pi\) |
−0.0314109 | + | 0.999507i | \(0.510000\pi\) | |||||||
\(338\) | −10.9196 | − | 9.27070i | −0.593950 | − | 0.504260i | ||||
\(339\) | 0.214912 | − | 0.941592i | 0.0116724 | − | 0.0511402i | ||||
\(340\) | −0.122756 | + | 0.417727i | −0.00665739 | + | 0.0226544i | ||||
\(341\) | 6.30706 | − | 5.02971i | 0.341546 | − | 0.272374i | ||||
\(342\) | 3.77111 | + | 8.48812i | 0.203919 | + | 0.458985i | ||||
\(343\) | 16.8308 | − | 7.72806i | 0.908780 | − | 0.417276i | ||||
\(344\) | 3.28781 | − | 10.0378i | 0.177267 | − | 0.541199i | ||||
\(345\) | −0.737519 | − | 0.924819i | −0.0397067 | − | 0.0497906i | ||||
\(346\) | −14.6546 | + | 17.2611i | −0.787835 | + | 0.927965i | ||||
\(347\) | 3.49523 | + | 0.797764i | 0.187634 | + | 0.0428262i | 0.315305 | − | 0.948990i | \(-0.397893\pi\) |
−0.127671 | + | 0.991817i | \(0.540750\pi\) | |||||||
\(348\) | 5.92377 | − | 20.1580i | 0.317547 | − | 1.08058i | ||||
\(349\) | −12.5764 | + | 26.1151i | −0.673197 | + | 1.39791i | 0.231916 | + | 0.972736i | \(0.425501\pi\) |
−0.905113 | + | 0.425172i | \(0.860214\pi\) | |||||||
\(350\) | −9.88735 | − | 15.7157i | −0.528501 | − | 0.840038i | ||||
\(351\) | 2.08665 | + | 4.33297i | 0.111377 | + | 0.231277i | ||||
\(352\) | 9.06404 | + | 1.40286i | 0.483115 | + | 0.0747727i | ||||
\(353\) | −0.281598 | + | 0.584744i | −0.0149879 | + | 0.0311228i | −0.908328 | − | 0.418258i | \(-0.862641\pi\) |
0.893341 | + | 0.449380i | \(0.148355\pi\) | |||||||
\(354\) | −8.50962 | + | 16.3650i | −0.452281 | + | 0.869792i | ||||
\(355\) | 0.444794 | + | 1.94877i | 0.0236072 | + | 0.103430i | ||||
\(356\) | −0.222631 | + | 3.62008i | −0.0117994 | + | 0.191864i | ||||
\(357\) | −2.03099 | + | 2.16221i | −0.107491 | + | 0.114436i | ||||
\(358\) | −4.63394 | + | 17.7687i | −0.244911 | + | 0.939105i | ||||
\(359\) | 4.59151 | − | 9.53437i | 0.242331 | − | 0.503205i | −0.743960 | − | 0.668225i | \(-0.767055\pi\) |
0.986290 | + | 0.165020i | \(0.0527688\pi\) | |||||||
\(360\) | 0.546832 | + | 0.0505239i | 0.0288206 | + | 0.00266284i | ||||
\(361\) | 24.1348 | 1.27025 | ||||||||
\(362\) | 4.57536 | − | 2.03275i | 0.240476 | − | 0.106839i | ||||
\(363\) | −1.86274 | − | 8.16122i | −0.0977687 | − | 0.428353i | ||||
\(364\) | −25.1907 | − | 3.61004i | −1.32035 | − | 0.189217i | ||||
\(365\) | 0.118596 | − | 0.519603i | 0.00620759 | − | 0.0271972i | ||||
\(366\) | 2.76050 | + | 14.0736i | 0.144294 | + | 0.735638i | ||||
\(367\) | 15.0997 | − | 18.9345i | 0.788200 | − | 0.988372i | −0.211739 | − | 0.977326i | \(-0.567913\pi\) |
0.999939 | − | 0.0110456i | \(-0.00351601\pi\) | |||||||
\(368\) | 13.1843 | − | 20.4952i | 0.687279 | − | 1.06839i | ||||
\(369\) | 4.02628 | + | 0.918973i | 0.209600 | + | 0.0478398i | ||||
\(370\) | 0.412277 | + | 2.10187i | 0.0214333 | + | 0.109271i | ||||
\(371\) | −2.97892 | + | 36.7339i | −0.154658 | + | 1.90713i | ||||
\(372\) | 8.68340 | + | 4.85965i | 0.450214 | + | 0.251961i | ||||
\(373\) | 16.9203 | 0.876100 | 0.438050 | − | 0.898951i | \(-0.355669\pi\) | ||||
0.438050 | + | 0.898951i | \(0.355669\pi\) | |||||||
\(374\) | −1.04385 | − | 2.34952i | −0.0539760 | − | 0.121491i | ||||
\(375\) | 1.88576 | − | 0.430413i | 0.0973804 | − | 0.0222264i | ||||
\(376\) | −1.64258 | − | 1.57795i | −0.0847097 | − | 0.0813763i | ||||
\(377\) | −39.4996 | − | 31.4999i | −2.03433 | − | 1.62233i | ||||
\(378\) | 3.16929 | + | 1.98887i | 0.163011 | + | 0.102296i | ||||
\(379\) | 3.50687 | − | 2.79664i | 0.180136 | − | 0.143654i | −0.529271 | − | 0.848453i | \(-0.677534\pi\) |
0.709407 | + | 0.704799i | \(0.248963\pi\) | |||||||
\(380\) | 1.24551 | − | 2.22552i | 0.0638933 | − | 0.114167i | ||||
\(381\) | −12.7910 | + | 10.2005i | −0.655303 | + | 0.522587i | ||||
\(382\) | 9.28107 | + | 0.285118i | 0.474861 | + | 0.0145879i | ||||
\(383\) | 7.86466 | − | 9.86197i | 0.401865 | − | 0.503923i | −0.539186 | − | 0.842187i | \(-0.681268\pi\) |
0.941051 | + | 0.338263i | \(0.109839\pi\) | |||||||
\(384\) | 2.62137 | + | 11.0058i | 0.133771 | + | 0.561639i | ||||
\(385\) | −0.794377 | − | 0.250365i | −0.0404852 | − | 0.0127598i | ||||
\(386\) | −0.247621 | + | 8.06047i | −0.0126036 | + | 0.410267i | ||||
\(387\) | 1.62030 | + | 3.36458i | 0.0823643 | + | 0.171031i | ||||
\(388\) | 27.7992 | − | 19.5030i | 1.41129 | − | 0.990116i | ||||
\(389\) | −18.9092 | + | 9.10617i | −0.958732 | + | 0.461701i | −0.846739 | − | 0.532008i | \(-0.821438\pi\) |
−0.111993 | + | 0.993709i | \(0.535723\pi\) | |||||||
\(390\) | 0.609216 | − | 1.17160i | 0.0308489 | − | 0.0593261i | ||||
\(391\) | −6.83097 | −0.345457 | ||||||||
\(392\) | −18.0844 | + | 8.05934i | −0.913402 | + | 0.407058i | ||||
\(393\) | 3.17228 | 0.160021 | ||||||||
\(394\) | 10.9434 | − | 21.0454i | 0.551319 | − | 1.06025i | ||||
\(395\) | 2.34290 | − | 1.12828i | 0.117884 | − | 0.0567700i | ||||
\(396\) | −2.65463 | + | 1.86240i | −0.133400 | + | 0.0935892i | ||||
\(397\) | −16.0980 | − | 33.4278i | −0.807935 | − | 1.67769i | −0.732724 | − | 0.680526i | \(-0.761751\pi\) |
−0.0752109 | − | 0.997168i | \(-0.523963\pi\) | |||||||
\(398\) | 0.410431 | − | 13.3602i | 0.0205730 | − | 0.669686i | ||||
\(399\) | 14.4168 | − | 9.70052i | 0.721741 | − | 0.485634i | ||||
\(400\) | 10.3809 | + | 16.9182i | 0.519047 | + | 0.845912i | ||||
\(401\) | −0.184412 | + | 0.231245i | −0.00920909 | + | 0.0115478i | −0.786415 | − | 0.617699i | \(-0.788065\pi\) |
0.777206 | + | 0.629247i | \(0.216636\pi\) | |||||||
\(402\) | 13.5715 | + | 0.416921i | 0.676884 | + | 0.0207941i | ||||
\(403\) | 18.7075 | − | 14.9187i | 0.931887 | − | 0.743155i | ||||
\(404\) | −7.02773 | + | 12.5574i | −0.349643 | + | 0.624754i | ||||
\(405\) | −0.151799 | + | 0.121055i | −0.00754294 | + | 0.00601530i | ||||
\(406\) | −39.0621 | − | 4.37864i | −1.93862 | − | 0.217308i | ||||
\(407\) | −9.88858 | − | 7.88588i | −0.490159 | − | 0.390889i | ||||
\(408\) | 2.19701 | − | 2.28700i | 0.108768 | − | 0.113223i | ||||
\(409\) | −26.6364 | + | 6.07959i | −1.31709 | + | 0.300617i | −0.822626 | − | 0.568583i | \(-0.807492\pi\) |
−0.494462 | + | 0.869200i | \(0.664635\pi\) | |||||||
\(410\) | −0.460408 | − | 1.03630i | −0.0227379 | − | 0.0511791i | ||||
\(411\) | −13.0059 | −0.641534 | ||||||||
\(412\) | −24.3873 | − | 13.6483i | −1.20148 | − | 0.672404i | ||||
\(413\) | 32.9120 | + | 10.3729i | 1.61949 | + | 0.510419i | ||||
\(414\) | 1.65840 | + | 8.45485i | 0.0815059 | + | 0.415533i | ||||
\(415\) | 0.940473 | + | 0.214657i | 0.0461660 | + | 0.0105371i | ||||
\(416\) | 26.8851 | + | 4.16106i | 1.31815 | + | 0.204013i | ||||
\(417\) | 5.27607 | − | 6.61598i | 0.258370 | − | 0.323986i | ||||
\(418\) | 2.89869 | + | 14.7781i | 0.141779 | + | 0.722819i | ||||
\(419\) | −4.97230 | + | 21.7851i | −0.242913 | + | 1.06427i | 0.695438 | + | 0.718586i | \(0.255210\pi\) |
−0.938351 | + | 0.345684i | \(0.887647\pi\) | |||||||
\(420\) | −0.0842132 | − | 1.02393i | −0.00410919 | − | 0.0499627i | ||||
\(421\) | 2.81166 | + | 12.3187i | 0.137032 | + | 0.600376i | 0.996078 | + | 0.0884778i | \(0.0282002\pi\) |
−0.859046 | + | 0.511898i | \(0.828943\pi\) | |||||||
\(422\) | −15.4582 | + | 6.86781i | −0.752495 | + | 0.334320i | ||||
\(423\) | 0.805294 | 0.0391547 | ||||||||
\(424\) | 3.62479 | − | 39.2320i | 0.176035 | − | 1.90527i | ||||
\(425\) | 2.41407 | − | 5.01287i | 0.117100 | − | 0.243160i | ||||
\(426\) | 3.67413 | − | 14.0883i | 0.178012 | − | 0.682582i | ||||
\(427\) | 25.0357 | − | 9.64947i | 1.21156 | − | 0.466971i | ||||
\(428\) | −0.594695 | + | 9.67003i | −0.0287457 | + | 0.467418i | ||||
\(429\) | 1.73514 | + | 7.60214i | 0.0837733 | + | 0.367035i | ||||
\(430\) | 0.473060 | − | 0.909753i | 0.0228130 | − | 0.0438722i | ||||
\(431\) | 12.8779 | − | 26.7411i | 0.620304 | − | 1.28808i | −0.319896 | − | 0.947453i | \(-0.603648\pi\) |
0.940200 | − | 0.340623i | \(-0.110638\pi\) | |||||||
\(432\) | −3.36406 | − | 2.16405i | −0.161853 | − | 0.104118i | ||||
\(433\) | 3.61279 | + | 7.50204i | 0.173620 | + | 0.360525i | 0.969561 | − | 0.244848i | \(-0.0787382\pi\) |
−0.795942 | + | 0.605373i | \(0.793024\pi\) | |||||||
\(434\) | 6.13849 | − | 17.5750i | 0.294657 | − | 0.843627i | ||||
\(435\) | 0.884977 | − | 1.83767i | 0.0424314 | − | 0.0881097i | ||||
\(436\) | 6.96326 | − | 23.6953i | 0.333480 | − | 1.13480i | ||||
\(437\) | 39.0099 | + | 8.90376i | 1.86610 | + | 0.425924i | ||||
\(438\) | −2.51246 | + | 2.95934i | −0.120050 | + | 0.141403i | ||||
\(439\) | 2.19633 | + | 2.75411i | 0.104825 | + | 0.131446i | 0.831477 | − | 0.555560i | \(-0.187496\pi\) |
−0.726652 | + | 0.687006i | \(0.758925\pi\) | |||||||
\(440\) | 0.846170 | + | 0.277158i | 0.0403395 | + | 0.0132130i | ||||
\(441\) | 2.63692 | − | 6.48434i | 0.125568 | − | 0.308778i | ||||
\(442\) | −3.09618 | − | 6.96896i | −0.147270 | − | 0.331480i | ||||
\(443\) | −18.0981 | + | 14.4328i | −0.859867 | + | 0.685721i | −0.950689 | − | 0.310146i | \(-0.899622\pi\) |
0.0908217 | + | 0.995867i | \(0.471051\pi\) | |||||||
\(444\) | 4.39874 | − | 14.9685i | 0.208755 | − | 0.710372i | ||||
\(445\) | −0.0783492 | + | 0.343270i | −0.00371411 | + | 0.0162726i | ||||
\(446\) | −3.14764 | − | 2.67233i | −0.149045 | − | 0.126538i | ||||
\(447\) | 7.60279 | + | 3.66131i | 0.359600 | + | 0.173174i | ||||
\(448\) | 19.4285 | − | 8.39845i | 0.917910 | − | 0.396789i | ||||
\(449\) | 29.9645 | − | 14.4302i | 1.41411 | − | 0.681001i | 0.438143 | − | 0.898905i | \(-0.355636\pi\) |
0.975970 | + | 0.217904i | \(0.0699219\pi\) | |||||||
\(450\) | −6.79063 | − | 1.77095i | −0.320113 | − | 0.0834832i | ||||
\(451\) | 6.03294 | + | 2.90531i | 0.284080 | + | 0.136806i | ||||
\(452\) | 1.92797 | + | 0.118568i | 0.0906841 | + | 0.00557697i | ||||
\(453\) | −2.77193 | + | 0.632674i | −0.130237 | + | 0.0297256i | ||||
\(454\) | 7.55846 | − | 14.5358i | 0.354736 | − | 0.682201i | ||||
\(455\) | −2.35622 | − | 0.742614i | −0.110461 | − | 0.0348143i | ||||
\(456\) | −15.5275 | + | 10.1968i | −0.727142 | + | 0.477509i | ||||
\(457\) | 21.3851 | + | 10.2985i | 1.00035 | + | 0.481744i | 0.861058 | − | 0.508507i | \(-0.169802\pi\) |
0.139294 | + | 0.990251i | \(0.455517\pi\) | |||||||
\(458\) | 5.06734 | + | 6.77074i | 0.236781 | + | 0.316376i | ||||
\(459\) | 1.12123i | 0.0523344i | ||||||||
\(460\) | 1.58579 | − | 1.75561i | 0.0739380 | − | 0.0818557i | ||||
\(461\) | 14.3664 | − | 3.27903i | 0.669109 | − | 0.152720i | 0.125545 | − | 0.992088i | \(-0.459932\pi\) |
0.543563 | + | 0.839368i | \(0.317075\pi\) | |||||||
\(462\) | 4.29224 | + | 4.28734i | 0.199693 | + | 0.199465i | ||||
\(463\) | −7.08091 | − | 1.61617i | −0.329078 | − | 0.0751099i | 0.0547899 | − | 0.998498i | \(-0.482551\pi\) |
−0.383868 | + | 0.923388i | \(0.625408\pi\) | |||||||
\(464\) | 41.7040 | + | 5.14897i | 1.93606 | + | 0.239035i | ||||
\(465\) | 0.755257 | + | 0.602297i | 0.0350242 | + | 0.0279309i | ||||
\(466\) | 10.2994 | + | 2.68600i | 0.477110 | + | 0.124427i | ||||
\(467\) | 5.62685 | − | 24.6528i | 0.260380 | − | 1.14080i | −0.660462 | − | 0.750860i | \(-0.729639\pi\) |
0.920841 | − | 0.389938i | \(-0.127504\pi\) | |||||||
\(468\) | −7.87396 | + | 5.52411i | −0.363974 | + | 0.255352i | ||||
\(469\) | −3.63222 | − | 25.1409i | −0.167720 | − | 1.16090i | ||||
\(470\) | −0.132492 | − | 0.177029i | −0.00611138 | − | 0.00816574i | ||||
\(471\) | − | 8.41022i | − | 0.387523i | ||||||
\(472\) | −35.0578 | − | 11.4830i | −1.61367 | − | 0.528548i | ||||
\(473\) | 1.34735 | + | 5.90311i | 0.0619511 | + | 0.271425i | ||||
\(474\) | −18.9321 | − | 0.581602i | −0.869580 | − | 0.0267139i | ||||
\(475\) | −20.3201 | + | 25.4806i | −0.932351 | + | 1.16913i | ||||
\(476\) | −4.92619 | − | 3.30648i | −0.225792 | − | 0.151552i | ||||
\(477\) | 8.68501 | + | 10.8907i | 0.397659 | + | 0.498649i | ||||
\(478\) | 3.77830 | + | 5.04838i | 0.172815 | + | 0.230907i | ||||
\(479\) | 22.0968 | + | 27.7085i | 1.00963 | + | 1.26604i | 0.963671 | + | 0.267092i | \(0.0860628\pi\) |
0.0459587 | + | 0.998943i | \(0.485366\pi\) | |||||||
\(480\) | 0.0777465 | + | 1.09557i | 0.00354863 | + | 0.0500056i | ||||
\(481\) | −29.3308 | − | 23.3905i | −1.33737 | − | 1.06651i | ||||
\(482\) | −11.2399 | + | 13.2391i | −0.511962 | + | 0.603023i | ||||
\(483\) | 15.0405 | − | 5.79702i | 0.684366 | − | 0.263774i | ||||
\(484\) | 15.5017 | − | 6.32456i | 0.704620 | − | 0.287480i | ||||
\(485\) | 2.97017 | − | 1.43036i | 0.134868 | − | 0.0649491i | ||||
\(486\) | 1.38777 | − | 0.272208i | 0.0629505 | − | 0.0123476i | ||||
\(487\) | 1.98655 | + | 4.12512i | 0.0900194 | + | 0.186927i | 0.941118 | − | 0.338079i | \(-0.109777\pi\) |
−0.851098 | + | 0.525006i | \(0.824063\pi\) | |||||||
\(488\) | −26.8783 | + | 10.0149i | −1.21672 | + | 0.453354i | ||||
\(489\) | 13.5827i | 0.614232i | ||||||||
\(490\) | −1.85930 | + | 0.487162i | −0.0839947 | + | 0.0220078i | ||||
\(491\) | − | 32.7911i | − | 1.47984i | −0.672694 | − | 0.739921i | \(-0.734863\pi\) | ||
0.672694 | − | 0.739921i | \(-0.265137\pi\) | |||||||
\(492\) | −0.507001 | + | 8.24408i | −0.0228574 | + | 0.371672i | ||||
\(493\) | −5.11058 | − | 10.6122i | −0.230169 | − | 0.477951i | ||||
\(494\) | 8.59786 | + | 43.8336i | 0.386836 | + | 1.97217i | ||||
\(495\) | −0.283630 | + | 0.136589i | −0.0127482 | + | 0.00613922i | ||||
\(496\) | −6.77261 | + | 18.7137i | −0.304099 | + | 0.840270i | ||||
\(497\) | −27.1493 | − | 2.20166i | −1.21781 | − | 0.0987580i | ||||
\(498\) | −5.35636 | − | 4.54752i | −0.240024 | − | 0.203779i | ||||
\(499\) | 7.85186 | + | 6.26165i | 0.351497 | + | 0.280310i | 0.783282 | − | 0.621667i | \(-0.213544\pi\) |
−0.431784 | + | 0.901977i | \(0.642116\pi\) | |||||||
\(500\) | 1.46138 | + | 3.58187i | 0.0653548 | + | 0.160186i | ||||
\(501\) | −13.2261 | − | 16.5851i | −0.590901 | − | 0.740966i | ||||
\(502\) | 0.139371 | − | 0.104308i | 0.00622042 | − | 0.00465547i | ||||
\(503\) | 26.0534 | + | 32.6700i | 1.16167 | + | 1.45668i | 0.865051 | + | 0.501685i | \(0.167286\pi\) |
0.296615 | + | 0.954997i | \(0.404142\pi\) | |||||||
\(504\) | −2.89655 | + | 6.90000i | −0.129023 | + | 0.307350i | ||||
\(505\) | −0.871005 | + | 1.09221i | −0.0387592 | + | 0.0486025i | ||||
\(506\) | −0.428956 | + | 13.9632i | −0.0190694 | + | 0.620741i | ||||
\(507\) | 2.25387 | + | 9.87483i | 0.100098 | + | 0.438557i | ||||
\(508\) | −24.2815 | − | 21.9328i | −1.07732 | − | 0.973111i | ||||
\(509\) | 40.9427i | 1.81476i | 0.420316 | + | 0.907378i | \(0.361919\pi\) | ||||
−0.420316 | + | 0.907378i | \(0.638081\pi\) | |||||||
\(510\) | 0.246481 | − | 0.184471i | 0.0109144 | − | 0.00816850i | ||||
\(511\) | 6.26727 | + | 3.66971i | 0.277248 | + | 0.162339i | ||||
\(512\) | −20.8693 | + | 8.74483i | −0.922302 | + | 0.386471i | ||||
\(513\) | 1.46145 | − | 6.40304i | 0.0645247 | − | 0.282701i | ||||
\(514\) | −1.98170 | + | 7.59876i | −0.0874091 | + | 0.335167i | ||||
\(515\) | −2.12113 | − | 1.69155i | −0.0934684 | − | 0.0745385i | ||||
\(516\) | −6.11418 | + | 4.28951i | −0.269162 | + | 0.188835i | ||||
\(517\) | 1.27296 | + | 0.290544i | 0.0559846 | + | 0.0127781i | ||||
\(518\) | −29.0059 | − | 3.25139i | −1.27445 | − | 0.142858i | ||||
\(519\) | 15.6096 | − | 3.56278i | 0.685184 | − | 0.156389i | ||||
\(520\) | 2.50984 | + | 0.822086i | 0.110064 | + | 0.0360508i | ||||
\(521\) | − | 1.39457i | − | 0.0610973i | −0.999533 | − | 0.0305486i | \(-0.990275\pi\) | ||
0.999533 | − | 0.0305486i | \(-0.00972545\pi\) | |||||||
\(522\) | −11.8943 | + | 8.90189i | −0.520598 | + | 0.389625i | ||||
\(523\) | −28.4464 | − | 13.6990i | −1.24387 | − | 0.599018i | −0.308010 | − | 0.951383i | \(-0.599663\pi\) |
−0.935862 | + | 0.352366i | \(0.885377\pi\) | |||||||
\(524\) | 1.02945 | + | 6.26049i | 0.0449719 | + | 0.273491i | ||||
\(525\) | −1.06121 | + | 13.0861i | −0.0463150 | + | 0.571122i | ||||
\(526\) | −11.2396 | − | 5.84444i | −0.490068 | − | 0.254830i | ||||
\(527\) | 5.43867 | − | 1.24134i | 0.236912 | − | 0.0540736i | ||||
\(528\) | −4.53691 | − | 4.63453i | −0.197444 | − | 0.201692i | ||||
\(529\) | 12.7193 | + | 6.12531i | 0.553014 | + | 0.266318i | ||||
\(530\) | 0.965201 | − | 3.70103i | 0.0419257 | − | 0.160763i | ||||
\(531\) | 11.7511 | − | 5.65905i | 0.509956 | − | 0.245582i | ||||
\(532\) | 23.8224 | + | 25.3035i | 1.03283 | + | 1.09704i | ||||
\(533\) | 17.8944 | + | 8.61751i | 0.775094 | + | 0.373266i | ||||
\(534\) | 1.65983 | − | 1.95506i | 0.0718279 | − | 0.0846036i | ||||
\(535\) | −0.209288 | + | 0.916949i | −0.00904829 | + | 0.0396431i | ||||
\(536\) | 3.58135 | + | 26.9186i | 0.154691 | + | 1.16270i | ||||
\(537\) | 10.1518 | − | 8.09577i | 0.438081 | − | 0.349358i | ||||
\(538\) | 20.2504 | − | 8.99688i | 0.873057 | − | 0.387883i | ||||
\(539\) | 6.50778 | − | 9.29865i | 0.280310 | − | 0.400521i | ||||
\(540\) | −0.288164 | − | 0.260290i | −0.0124006 | − | 0.0112011i | ||||
\(541\) | 1.37573 | + | 1.72511i | 0.0591471 | + | 0.0741681i | 0.810525 | − | 0.585704i | \(-0.199182\pi\) |
−0.751378 | + | 0.659872i | \(0.770610\pi\) | |||||||
\(542\) | 17.8460 | + | 15.1511i | 0.766551 | + | 0.650796i | ||||
\(543\) | −3.45144 | − | 0.787768i | −0.148115 | − | 0.0338063i | ||||
\(544\) | 5.22635 | + | 3.59362i | 0.224078 | + | 0.154075i | ||||
\(545\) | 1.04027 | − | 2.16014i | 0.0445603 | − | 0.0925304i | ||||
\(546\) | 12.7313 | + | 12.7168i | 0.544850 | + | 0.544228i | ||||
\(547\) | −3.57896 | − | 7.43179i | −0.153025 | − | 0.317760i | 0.810337 | − | 0.585964i | \(-0.199284\pi\) |
−0.963362 | + | 0.268204i | \(0.913570\pi\) | |||||||
\(548\) | −4.22061 | − | 25.6671i | −0.180296 | − | 1.09645i | ||||
\(549\) | 4.40008 | − | 9.13686i | 0.187791 | − | 0.389952i | ||||
\(550\) | −10.0953 | − | 5.24941i | −0.430463 | − | 0.223836i | ||||
\(551\) | 15.3528 | + | 67.2651i | 0.654052 | + | 2.86559i | ||||
\(552\) | −16.1474 | + | 6.01657i | −0.687281 | + | 0.256082i | ||||
\(553\) | 5.06692 | + | 35.0713i | 0.215467 | + | 1.49138i | ||||
\(554\) | 1.03562 | + | 0.270081i | 0.0439991 | + | 0.0114746i | ||||
\(555\) | 0.657146 | − | 1.36458i | 0.0278943 | − | 0.0579231i | ||||
\(556\) | 14.7688 | + | 8.26532i | 0.626336 | + | 0.350528i | ||||
\(557\) | 21.3934 | 0.906468 | 0.453234 | − | 0.891392i | \(-0.350270\pi\) | ||||
0.453234 | + | 0.891392i | \(0.350270\pi\) | |||||||
\(558\) | −2.85682 | − | 6.43020i | −0.120939 | − | 0.272212i | ||||
\(559\) | 3.99640 | + | 17.5094i | 0.169030 | + | 0.740567i | ||||
\(560\) | 1.99339 | − | 0.498475i | 0.0842363 | − | 0.0210644i | ||||
\(561\) | −0.404531 | + | 1.77236i | −0.0170793 | + | 0.0748293i | ||||
\(562\) | −14.7908 | + | 2.90118i | −0.623911 | + | 0.122379i | ||||
\(563\) | 25.5086 | − | 31.9868i | 1.07506 | − | 1.34808i | 0.141390 | − | 0.989954i | \(-0.454843\pi\) |
0.933672 | − | 0.358130i | \(-0.116586\pi\) | |||||||
\(564\) | 0.261330 | + | 1.58925i | 0.0110040 | + | 0.0669193i | ||||
\(565\) | 0.182818 | + | 0.0417269i | 0.00769119 | + | 0.00175546i | ||||
\(566\) | −9.88101 | + | 1.93814i | −0.415330 | + | 0.0814660i | ||||
\(567\) | −0.951516 | − | 2.46873i | −0.0399599 | − | 0.103677i | ||||
\(568\) | 28.9956 | + | 2.67901i | 1.21663 | + | 0.112409i | ||||
\(569\) | −11.6024 | −0.486399 | −0.243200 | − | 0.969976i | \(-0.578197\pi\) | ||||
−0.243200 | + | 0.969976i | \(0.578197\pi\) | |||||||
\(570\) | −1.64804 | + | 0.732192i | −0.0690286 | + | 0.0306681i | ||||
\(571\) | −35.7076 | + | 8.15002i | −1.49431 | + | 0.341068i | −0.890104 | − | 0.455757i | \(-0.849369\pi\) |
−0.604211 | + | 0.796825i | \(0.706511\pi\) | |||||||
\(572\) | −14.4397 | + | 5.89130i | −0.603755 | + | 0.246328i | ||||
\(573\) | −5.13335 | − | 4.09371i | −0.214449 | − | 0.171017i | ||||
\(574\) | 15.3542 | − | 1.73889i | 0.640874 | − | 0.0725800i | ||||
\(575\) | −23.6366 | + | 18.8496i | −0.985715 | + | 0.786081i | ||||
\(576\) | 3.17907 | − | 7.34122i | 0.132461 | − | 0.305884i | ||||
\(577\) | −8.97703 | + | 7.15894i | −0.373719 | + | 0.298031i | −0.792280 | − | 0.610158i | \(-0.791106\pi\) |
0.418561 | + | 0.908189i | \(0.362535\pi\) | |||||||
\(578\) | −0.683629 | + | 22.2533i | −0.0284352 | + | 0.925613i | ||||
\(579\) | 3.55533 | − | 4.45824i | 0.147754 | − | 0.185278i | ||||
\(580\) | 3.91383 | + | 1.15015i | 0.162513 | + | 0.0477572i | ||||
\(581\) | −6.64213 | + | 11.3437i | −0.275562 | + | 0.470615i | ||||
\(582\) | −24.0008 | − | 0.737314i | −0.994866 | − | 0.0305627i | ||||
\(583\) | 9.79945 | + | 20.3488i | 0.405852 | + | 0.842759i | ||||
\(584\) | −6.65558 | − | 3.99798i | −0.275410 | − | 0.165438i | ||||
\(585\) | −0.841281 | + | 0.405140i | −0.0347827 | + | 0.0167505i | ||||
\(586\) | 4.40610 | + | 2.29112i | 0.182014 | + | 0.0946453i | ||||
\(587\) | 28.4578 | 1.17458 | 0.587290 | − | 0.809376i | \(-0.300195\pi\) | ||||
0.587290 | + | 0.809376i | \(0.300195\pi\) | |||||||
\(588\) | 13.6525 | + | 3.09969i | 0.563021 | + | 0.127829i | ||||
\(589\) | −32.6768 | −1.34643 | ||||||||
\(590\) | −3.17740 | − | 1.65221i | −0.130812 | − | 0.0680204i | ||||
\(591\) | −15.1120 | + | 7.27754i | −0.621623 | + | 0.299358i | ||||
\(592\) | 30.9677 | + | 3.82341i | 1.27276 | + | 0.157141i | ||||
\(593\) | −4.06599 | − | 8.44312i | −0.166970 | − | 0.346718i | 0.800648 | − | 0.599135i | \(-0.204489\pi\) |
−0.967618 | + | 0.252417i | \(0.918774\pi\) | |||||||
\(594\) | 2.29191 | + | 0.0704083i | 0.0940381 | + | 0.00288889i | ||||
\(595\) | −0.419809 | − | 0.394333i | −0.0172105 | − | 0.0161661i | ||||
\(596\) | −4.75837 | + | 16.1922i | −0.194910 | + | 0.663260i | ||||
\(597\) | −5.89294 | + | 7.38952i | −0.241182 | + | 0.302433i | ||||
\(598\) | −1.27234 | + | 41.4167i | −0.0520297 | + | 1.69365i | ||||
\(599\) | 21.8117 | − | 17.3943i | 0.891203 | − | 0.710711i | −0.0667092 | − | 0.997772i | \(-0.521250\pi\) |
0.957912 | + | 0.287062i | \(0.0926785\pi\) | |||||||
\(600\) | 1.29129 | − | 13.9760i | 0.0527169 | − | 0.570567i | ||||
\(601\) | 10.4282 | − | 8.31619i | 0.425374 | − | 0.339224i | −0.387289 | − | 0.921958i | \(-0.626588\pi\) |
0.812663 | + | 0.582734i | \(0.198017\pi\) | |||||||
\(602\) | 9.88595 | + | 9.87466i | 0.402921 | + | 0.402461i | ||||
\(603\) | −7.50637 | − | 5.98613i | −0.305683 | − | 0.243774i | ||||
\(604\) | −2.14811 | − | 5.26508i | −0.0874055 | − | 0.214233i | ||||
\(605\) | 1.58457 | − | 0.361667i | 0.0644217 | − | 0.0147038i | ||||
\(606\) | 9.29896 | − | 4.13135i | 0.377744 | − | 0.167825i | ||||
\(607\) | −18.0976 | −0.734558 | −0.367279 | − | 0.930111i | \(-0.619711\pi\) | ||||
−0.367279 | + | 0.930111i | \(0.619711\pi\) | |||||||
\(608\) | −25.1623 | − | 27.3345i | −1.02046 | − | 1.10856i | ||||
\(609\) | 20.2585 | + | 19.0291i | 0.820915 | + | 0.771097i | ||||
\(610\) | −2.73250 | + | 0.535973i | −0.110636 | + | 0.0217009i | ||||
\(611\) | 3.77575 | + | 0.861791i | 0.152751 | + | 0.0348643i | ||||
\(612\) | −2.21274 | + | 0.363855i | −0.0894446 | + | 0.0147080i | ||||
\(613\) | 15.8309 | − | 19.8513i | 0.639403 | − | 0.801786i | −0.351525 | − | 0.936178i | \(-0.614337\pi\) |
0.990928 | + | 0.134393i | \(0.0429083\pi\) | |||||||
\(614\) | 12.4984 | − | 2.45153i | 0.504395 | − | 0.0989359i | ||||
\(615\) | −0.178426 | + | 0.781735i | −0.00719483 | + | 0.0315226i | ||||
\(616\) | −7.06815 | + | 9.86203i | −0.284784 | + | 0.397353i | ||||
\(617\) | −3.72839 | − | 16.3352i | −0.150099 | − | 0.657629i | −0.992854 | − | 0.119332i | \(-0.961925\pi\) |
0.842755 | − | 0.538297i | \(-0.180932\pi\) | |||||||
\(618\) | 8.02336 | + | 18.0592i | 0.322747 | + | 0.726447i | ||||
\(619\) | −31.1807 | −1.25326 | −0.626629 | − | 0.779318i | \(-0.715566\pi\) | ||||
−0.626629 | + | 0.779318i | \(0.715566\pi\) | |||||||
\(620\) | −0.943540 | + | 1.68595i | −0.0378935 | + | 0.0677094i | ||||
\(621\) | 2.64340 | − | 5.48907i | 0.106076 | − | 0.220269i | ||||
\(622\) | 24.2093 | + | 6.31360i | 0.970704 | + | 0.253152i | ||||
\(623\) | −4.14041 | − | 2.42436i | −0.165882 | − | 0.0971299i | ||||
\(624\) | −13.4570 | − | 13.7466i | −0.538713 | − | 0.550304i | ||||
\(625\) | −5.43751 | − | 23.8233i | −0.217501 | − | 0.952932i | ||||
\(626\) | −27.3474 | − | 14.2203i | −1.09302 | − | 0.568359i | ||||
\(627\) | 4.62034 | − | 9.59424i | 0.184519 | − | 0.383157i | ||||
\(628\) | 16.5975 | − | 2.72924i | 0.662314 | − | 0.108909i | ||||
\(629\) | −3.79490 | − | 7.88020i | −0.151313 | − | 0.314204i | ||||
\(630\) | −0.386155 | + | 0.615343i | −0.0153848 | + | 0.0245158i | ||||
\(631\) | −5.05742 | + | 10.5018i | −0.201333 | + | 0.418072i | −0.977050 | − | 0.213008i | \(-0.931674\pi\) |
0.775718 | + | 0.631080i | \(0.217388\pi\) | |||||||
\(632\) | −4.99596 | − | 37.5512i | −0.198729 | − | 1.49371i | ||||
\(633\) | 11.6610 | + | 2.66154i | 0.463482 | + | 0.105787i | ||||
\(634\) | −2.97271 | − | 2.52381i | −0.118061 | − | 0.100233i | ||||
\(635\) | −1.98051 | − | 2.48348i | −0.0785940 | − | 0.0985538i | ||||
\(636\) | −18.6743 | + | 20.6740i | −0.740483 | + | 0.819778i | ||||
\(637\) | 19.3029 | − | 27.5809i | 0.764808 | − | 1.09280i | ||||
\(638\) | −22.0135 | + | 9.78017i | −0.871521 | + | 0.387201i | ||||
\(639\) | −8.04907 | + | 6.41892i | −0.318416 | + | 0.253929i | ||||
\(640\) | −2.13687 | + | 0.508961i | −0.0844672 | + | 0.0201184i | ||||
\(641\) | 8.65120 | − | 37.9034i | 0.341702 | − | 1.49709i | −0.453778 | − | 0.891115i | \(-0.649924\pi\) |
0.795480 | − | 0.605979i | \(-0.207219\pi\) | |||||||
\(642\) | 4.43377 | − | 5.22238i | 0.174987 | − | 0.206111i | ||||
\(643\) | −20.9123 | − | 10.0709i | −0.824702 | − | 0.397156i | −0.0265767 | − | 0.999647i | \(-0.508461\pi\) |
−0.798126 | + | 0.602491i | \(0.794175\pi\) | |||||||
\(644\) | 16.3213 | + | 27.8011i | 0.643148 | + | 1.09552i | ||||
\(645\) | −0.653260 | + | 0.314594i | −0.0257221 | + | 0.0123871i | ||||
\(646\) | −2.62802 | + | 10.0771i | −0.103398 | + | 0.396477i | ||||
\(647\) | −32.4062 | − | 15.6060i | −1.27402 | − | 0.613536i | −0.330173 | − | 0.943920i | \(-0.607107\pi\) |
−0.943846 | + | 0.330385i | \(0.892821\pi\) | |||||||
\(648\) | 0.987553 | + | 2.65042i | 0.0387947 | + | 0.104118i | ||||
\(649\) | 20.6172 | − | 4.70574i | 0.809296 | − | 0.184716i | ||||
\(650\) | −29.9438 | − | 15.5704i | −1.17449 | − | 0.610721i | ||||
\(651\) | −10.9215 | + | 7.34866i | −0.428046 | + | 0.288017i | ||||
\(652\) | −26.8055 | + | 4.40780i | −1.04978 | + | 0.172623i | ||||
\(653\) | 29.9551 | + | 14.4256i | 1.17223 | + | 0.564518i | 0.915639 | − | 0.402001i | \(-0.131685\pi\) |
0.256595 | + | 0.966519i | \(0.417399\pi\) | |||||||
\(654\) | −13.9815 | + | 10.4640i | −0.546719 | + | 0.409174i | ||||
\(655\) | 0.615924i | 0.0240661i | ||||||||
\(656\) | −16.4342 | + | 1.67476i | −0.641648 | + | 0.0653885i | ||||
\(657\) | 2.67619 | − | 0.610822i | 0.104408 | − | 0.0238304i | ||||
\(658\) | 2.84348 | − | 0.996801i | 0.110850 | − | 0.0388593i | ||||
\(659\) | −21.4918 | − | 4.90536i | −0.837202 | − | 0.191086i | −0.217635 | − | 0.976030i | \(-0.569834\pi\) |
−0.619566 | + | 0.784944i | \(0.712691\pi\) | |||||||
\(660\) | −0.361600 | − | 0.515418i | −0.0140753 | − | 0.0200626i | ||||
\(661\) | 9.04876 | + | 7.21614i | 0.351956 | + | 0.280676i | 0.783469 | − | 0.621431i | \(-0.213449\pi\) |
−0.431513 | + | 0.902107i | \(0.642020\pi\) | |||||||
\(662\) | −6.79399 | + | 26.0513i | −0.264056 | + | 1.01251i | ||||
\(663\) | −1.19989 | + | 5.25705i | −0.0465998 | + | 0.204167i | ||||
\(664\) | 7.23629 | − | 12.0465i | 0.280822 | − | 0.467495i | ||||
\(665\) | 1.88343 | + | 2.79913i | 0.0730364 | + | 0.108546i | ||||
\(666\) | −8.83219 | + | 6.61017i | −0.342240 | + | 0.256139i | ||||
\(667\) | 64.0018i | 2.47816i | ||||||||
\(668\) | 28.4385 | − | 31.4839i | 1.10032 | − | 1.21815i | ||||
\(669\) | 0.649689 | + | 2.84647i | 0.0251184 | + | 0.110051i | ||||
\(670\) | −0.0809485 | + | 2.63501i | −0.00312731 | + | 0.101799i | ||||
\(671\) | 10.2519 | − | 12.8555i | 0.395770 | − | 0.496279i | ||||
\(672\) | −14.5571 | − | 3.47718i | −0.561552 | − | 0.134135i | ||||
\(673\) | 10.9357 | + | 13.7130i | 0.421541 | + | 0.528595i | 0.946574 | − | 0.322486i | \(-0.104519\pi\) |
−0.525033 | + | 0.851082i | \(0.675947\pi\) | |||||||
\(674\) | 16.8512 | − | 12.6117i | 0.649084 | − | 0.485786i | ||||
\(675\) | 3.09395 | + | 3.87968i | 0.119086 | + | 0.149329i | ||||
\(676\) | −18.7565 | + | 7.65253i | −0.721405 | + | 0.294328i | ||||
\(677\) | 17.5635 | + | 14.0065i | 0.675022 | + | 0.538312i | 0.899912 | − | 0.436072i | \(-0.143631\pi\) |
−0.224890 | + | 0.974384i | \(0.572202\pi\) | |||||||
\(678\) | −1.04122 | − | 0.883986i | −0.0399877 | − | 0.0339493i | ||||
\(679\) | 6.42349 | + | 44.4610i | 0.246511 | + | 1.70626i | ||||
\(680\) | 0.444039 | + | 0.426566i | 0.0170281 | + | 0.0163581i | ||||
\(681\) | −10.4377 | + | 5.02651i | −0.399972 | + | 0.192616i | ||||
\(682\) | −2.19591 | − | 11.1952i | −0.0840857 | − | 0.428685i | ||||
\(683\) | −4.08266 | − | 8.47772i | −0.156218 | − | 0.324391i | 0.808140 | − | 0.588991i | \(-0.200475\pi\) |
−0.964358 | + | 0.264600i | \(0.914760\pi\) | |||||||
\(684\) | 13.1106 | + | 0.806289i | 0.501298 | + | 0.0308292i | ||||
\(685\) | − | 2.52520i | − | 0.0964829i | ||||||
\(686\) | 1.28455 | − | 26.1601i | 0.0490443 | − | 0.998797i | ||||
\(687\) | − | 5.98000i | − | 0.228151i | ||||||
\(688\) | −10.4495 | − | 10.6743i | −0.398383 | − | 0.406954i | ||||
\(689\) | 29.0664 | + | 60.3569i | 1.10734 | + | 2.29942i | ||||
\(690\) | −1.64158 | + | 0.321991i | −0.0624937 | + | 0.0122580i | ||||
\(691\) | −8.71265 | + | 4.19579i | −0.331445 | + | 0.159615i | −0.592203 | − | 0.805789i | \(-0.701742\pi\) |
0.260758 | + | 0.965404i | \(0.416027\pi\) | |||||||
\(692\) | 12.0967 | + | 29.6492i | 0.459847 | + | 1.12710i | ||||
\(693\) | −0.613398 | − | 4.24571i | −0.0233010 | − | 0.161281i | ||||
\(694\) | 3.28140 | − | 3.86505i | 0.124560 | − | 0.146715i | ||||
\(695\) | 1.28454 | + | 1.02439i | 0.0487256 | + | 0.0388573i | ||||
\(696\) | −21.4277 | − | 20.5845i | −0.812216 | − | 0.780254i | ||||
\(697\) | 2.88705 | + | 3.62025i | 0.109355 | + | 0.137127i | ||||
\(698\) | 24.5618 | + | 32.8183i | 0.929678 | + | 1.24219i | ||||
\(699\) | −4.69261 | − | 5.88434i | −0.177491 | − | 0.222566i | ||||
\(700\) | −26.1697 | + | 2.15233i | −0.989121 | + | 0.0813504i | ||||
\(701\) | 16.2526 | − | 20.3801i | 0.613851 | − | 0.769744i | −0.373614 | − | 0.927584i | \(-0.621882\pi\) |
0.987465 | + | 0.157840i | \(0.0504530\pi\) | |||||||
\(702\) | 6.79808 | + | 0.208840i | 0.256577 | + | 0.00788215i | ||||
\(703\) | 11.4004 | + | 49.9482i | 0.429972 | + | 1.88383i | ||||
\(704\) | 7.67393 | − | 10.4576i | 0.289222 | − | 0.394134i | ||||
\(705\) | 0.156354i | 0.00588864i | ||||||||
\(706\) | 0.549964 | + | 0.734836i | 0.0206982 | + | 0.0276559i | ||||
\(707\) | −10.6272 | − | 15.7939i | −0.399676 | − | 0.593992i | ||||
\(708\) | 14.9815 | + | 21.3544i | 0.563040 | + | 0.802547i | ||||
\(709\) | −6.88496 | + | 30.1650i | −0.258570 | + | 1.13287i | 0.664211 | + | 0.747545i | \(0.268768\pi\) |
−0.922781 | + | 0.385324i | \(0.874090\pi\) | |||||||
\(710\) | 2.73536 | + | 0.713361i | 0.102656 | + | 0.0267720i | ||||
\(711\) | 10.4713 | + | 8.35061i | 0.392706 | + | 0.313172i | ||||
\(712\) | 4.39694 | + | 2.64122i | 0.164782 | + | 0.0989841i | ||||
\(713\) | −29.5521 | − | 6.74506i | −1.10673 | − | 0.252605i | ||||
\(714\) | 1.38786 | + | 3.95903i | 0.0519395 | + | 0.148163i | ||||
\(715\) | −1.47602 | + | 0.336891i | −0.0551999 | + | 0.0125990i | ||||
\(716\) | 19.2714 | + | 17.4073i | 0.720205 | + | 0.650541i | ||||
\(717\) | − | 4.45879i | − | 0.166517i | ||||||
\(718\) | −8.96729 | − | 11.9817i | −0.334656 | − | 0.447152i | ||||
\(719\) | −26.8905 | − | 12.9498i | −1.00285 | − | 0.482945i | −0.140943 | − | 0.990018i | \(-0.545013\pi\) |
−0.861903 | + | 0.507072i | \(0.830728\pi\) | |||||||
\(720\) | 0.420168 | − | 0.653158i | 0.0156587 | − | 0.0243418i | ||||
\(721\) | 30.6729 | − | 20.6387i | 1.14232 | − | 0.768624i | ||||
\(722\) | 15.7465 | − | 30.2824i | 0.586023 | − | 1.12699i | ||||
\(723\) | 11.9723 | − | 2.73261i | 0.445256 | − | 0.101627i | ||||
\(724\) | 0.434615 | − | 7.06704i | 0.0161523 | − | 0.262644i | ||||
\(725\) | −46.9674 | − | 22.6183i | −1.74432 | − | 0.840023i | ||||
\(726\) | −11.4554 | − | 2.98748i | −0.425149 | − | 0.110876i | ||||
\(727\) | 18.9489 | − | 9.12532i | 0.702777 | − | 0.338439i | −0.0481361 | − | 0.998841i | \(-0.515328\pi\) |
0.750913 | + | 0.660401i | \(0.229614\pi\) | |||||||
\(728\) | −20.9650 | + | 29.2520i | −0.777015 | + | 1.08415i | ||||
\(729\) | −0.900969 | − | 0.433884i | −0.0333692 | − | 0.0160698i | ||||
\(730\) | −0.574579 | − | 0.487814i | −0.0212661 | − | 0.0180548i | ||||
\(731\) | −0.931721 | + | 4.08214i | −0.0344609 | + | 0.150983i | ||||
\(732\) | 19.4595 | + | 5.71850i | 0.719242 | + | 0.211362i | ||||
\(733\) | 20.3280 | − | 16.2110i | 0.750832 | − | 0.598769i | −0.171492 | − | 0.985186i | \(-0.554859\pi\) |
0.922324 | + | 0.386417i | \(0.126287\pi\) | |||||||
\(734\) | −13.9058 | − | 31.2996i | −0.513273 | − | 1.15529i | ||||
\(735\) | 1.25899 | + | 0.511979i | 0.0464384 | + | 0.0188846i | ||||
\(736\) | −17.1138 | − | 29.9145i | −0.630822 | − | 1.10266i | ||||
\(737\) | −9.70584 | − | 12.1707i | −0.357519 | − | 0.448315i | ||||
\(738\) | 3.77996 | − | 4.45229i | 0.139142 | − | 0.163891i | ||||
\(739\) | 3.45730 | + | 0.789107i | 0.127179 | + | 0.0290278i | 0.285637 | − | 0.958338i | \(-0.407795\pi\) |
−0.158458 | + | 0.987366i | \(0.550652\pi\) | |||||||
\(740\) | 2.90625 | + | 0.854050i | 0.106836 | + | 0.0313955i | ||||
\(741\) | 13.7045 | − | 28.4577i | 0.503448 | − | 1.04542i | ||||
\(742\) | 44.1472 | + | 27.7043i | 1.62069 | + | 1.01706i | ||||
\(743\) | −7.07758 | − | 14.6967i | −0.259651 | − | 0.539171i | 0.729865 | − | 0.683591i | \(-0.239583\pi\) |
−0.989517 | + | 0.144420i | \(0.953868\pi\) | |||||||
\(744\) | 11.7629 | − | 7.72462i | 0.431249 | − | 0.283198i | ||||
\(745\) | −0.710873 | + | 1.47614i | −0.0260444 | + | 0.0540817i | ||||
\(746\) | 11.0395 | − | 21.2302i | 0.404184 | − | 0.777294i | ||||
\(747\) | 1.10558 | + | 4.84386i | 0.0404510 | + | 0.177228i | ||||
\(748\) | −3.62903 | − | 0.223181i | −0.132691 | − | 0.00816032i | ||||
\(749\) | −11.0599 | − | 6.47599i | −0.404121 | − | 0.236627i | ||||
\(750\) | 0.690298 | − | 2.64692i | 0.0252061 | − | 0.0966520i | ||||
\(751\) | 5.11587 | − | 10.6232i | 0.186681 | − | 0.387647i | −0.786533 | − | 0.617548i | \(-0.788126\pi\) |
0.973214 | + | 0.229901i | \(0.0738404\pi\) | |||||||
\(752\) | −3.05157 | + | 1.03147i | −0.111279 | + | 0.0376138i | ||||
\(753\) | −0.123094 | −0.00448579 | ||||||||
\(754\) | −65.2947 | + | 29.0092i | −2.37789 | + | 1.05645i | ||||
\(755\) | −0.122839 | − | 0.538192i | −0.00447056 | − | 0.0195868i | ||||
\(756\) | 4.56325 | − | 2.67895i | 0.165964 | − | 0.0974326i | ||||
\(757\) | −5.52051 | + | 24.1869i | −0.200646 | + | 0.879089i | 0.769898 | + | 0.638167i | \(0.220307\pi\) |
−0.970545 | + | 0.240922i | \(0.922550\pi\) | |||||||
\(758\) | −1.22098 | − | 6.22478i | −0.0443479 | − | 0.226094i | ||||
\(759\) | 6.15893 | − | 7.72305i | 0.223555 | − | 0.280329i | ||||
\(760\) | −1.97979 | − | 3.01479i | −0.0718145 | − | 0.109358i | ||||
\(761\) | −6.26459 | − | 1.42985i | −0.227091 | − | 0.0518321i | 0.107461 | − | 0.994209i | \(-0.465728\pi\) |
−0.334552 | + | 0.942377i | \(0.608585\pi\) | |||||||
\(762\) | 4.45341 | + | 22.7043i | 0.161330 | + | 0.822492i | ||||
\(763\) | 23.8134 | + | 22.3683i | 0.862103 | + | 0.809785i | ||||
\(764\) | 6.41308 | − | 11.4591i | 0.232017 | − | 0.414577i | ||||
\(765\) | −0.217695 | −0.00787078 | ||||||||
\(766\) | −7.24281 | − | 16.3023i | −0.261693 | − | 0.589026i | ||||
\(767\) | 61.1532 | − | 13.9578i | 2.20811 | − | 0.503987i | ||||
\(768\) | 15.5195 | + | 3.89155i | 0.560013 | + | 0.140424i | ||||
\(769\) | −4.68472 | − | 3.73594i | −0.168935 | − | 0.134721i | 0.535373 | − | 0.844616i | \(-0.320171\pi\) |
−0.704308 | + | 0.709895i | \(0.748743\pi\) | |||||||
\(770\) | −0.832421 | + | 0.833373i | −0.0299984 | + | 0.0300327i | ||||
\(771\) | 4.34140 | − | 3.46215i | 0.156352 | − | 0.124686i | ||||
\(772\) | 9.95207 | + | 5.56966i | 0.358183 | + | 0.200456i | ||||
\(773\) | −39.9151 | + | 31.8313i | −1.43565 | + | 1.14489i | −0.470749 | + | 0.882267i | \(0.656016\pi\) |
−0.964898 | + | 0.262624i | \(0.915412\pi\) | |||||||
\(774\) | 5.27876 | + | 0.162165i | 0.189741 | + | 0.00582892i | ||||
\(775\) | 15.3936 | − | 19.3029i | 0.552953 | − | 0.693381i | ||||
\(776\) | −6.33353 | − | 47.6048i | −0.227361 | − | 1.70891i | ||||
\(777\) | 15.0431 | + | 14.1302i | 0.539668 | + | 0.506918i | ||||
\(778\) | −0.911380 | + | 29.6669i | −0.0326745 | + | 1.06361i | ||||
\(779\) | −11.7684 | − | 24.4374i | −0.421648 | − | 0.875561i | ||||
\(780\) | −1.07255 | − | 1.52879i | −0.0384035 | − | 0.0547395i | ||||
\(781\) | −15.0394 | + | 7.24258i | −0.538151 | + | 0.259160i | ||||
\(782\) | −4.45679 | + | 8.57095i | −0.159375 | + | 0.306497i | ||||
\(783\) | 10.5052 | 0.375424 | ||||||||
\(784\) | −1.68678 | + | 27.9491i | −0.0602421 | + | 0.998184i | ||||
\(785\) | 1.63291 | 0.0582811 | ||||||||
\(786\) | 2.06972 | − | 3.98033i | 0.0738245 | − | 0.141974i | ||||
\(787\) | 19.5706 | − | 9.42469i | 0.697615 | − | 0.335954i | −0.0512410 | − | 0.998686i | \(-0.516318\pi\) |
0.748856 | + | 0.662733i | \(0.230603\pi\) | |||||||
\(788\) | −19.2663 | − | 27.4617i | −0.686332 | − | 0.978284i | ||||
\(789\) | 3.88666 | + | 8.07072i | 0.138369 | + | 0.287325i | ||||
\(790\) | 0.112923 | − | 3.67582i | 0.00401760 | − | 0.130780i | ||||
\(791\) | −1.29116 | + | 2.20508i | −0.0459082 | + | 0.0784037i | ||||
\(792\) | 0.604808 | + | 4.54592i | 0.0214909 | + | 0.161532i | ||||
\(793\) | 30.4084 | − | 38.1309i | 1.07983 | − | 1.35407i | ||||
\(794\) | −52.4455 | − | 1.61115i | −1.86122 | − | 0.0571775i | ||||
\(795\) | −2.11451 | + | 1.68626i | −0.0749939 | + | 0.0598056i | ||||
\(796\) | −16.4955 | − | 9.23170i | −0.584669 | − | 0.327209i | ||||
\(797\) | 33.1860 | − | 26.4649i | 1.17551 | − | 0.937436i | 0.176605 | − | 0.984282i | \(-0.443488\pi\) |
0.998902 | + | 0.0468459i | \(0.0149170\pi\) | |||||||
\(798\) | −2.76538 | − | 24.4180i | −0.0978934 | − | 0.864388i | ||||
\(799\) | 0.705930 | + | 0.562960i | 0.0249740 | + | 0.0199161i | ||||
\(800\) | 28.0006 | − | 1.98705i | 0.989971 | − | 0.0702529i | ||||
\(801\) | −1.76799 | + | 0.403533i | −0.0624690 | + | 0.0142581i | ||||
\(802\) | 0.169831 | + | 0.382259i | 0.00599692 | + | 0.0134980i | ||||
\(803\) | 4.45072 | 0.157063 | ||||||||
\(804\) | 9.37768 | − | 16.7564i | 0.330725 | − | 0.590952i | ||||
\(805\) | 1.12554 | + | 2.92023i | 0.0396700 | + | 0.102925i | ||||
\(806\) | −6.51333 | − | 33.2063i | −0.229422 | − | 1.16964i | ||||
\(807\) | −15.2760 | − | 3.48664i | −0.537739 | − | 0.122735i | ||||
\(808\) | 11.1709 | + | 17.0108i | 0.392990 | + | 0.598437i | ||||
\(809\) | −4.34919 | + | 5.45371i | −0.152909 | + | 0.191742i | −0.852386 | − | 0.522913i | \(-0.824845\pi\) |
0.699477 | + | 0.714656i | \(0.253417\pi\) | |||||||
\(810\) | 0.0528513 | + | 0.269446i | 0.00185701 | + | 0.00946738i | ||||
\(811\) | 9.19290 | − | 40.2767i | 0.322806 | − | 1.41431i | −0.509729 | − | 0.860335i | \(-0.670254\pi\) |
0.832536 | − | 0.553972i | \(-0.186888\pi\) | |||||||
\(812\) | −30.9796 | + | 46.1552i | −1.08717 | + | 1.61973i | ||||
\(813\) | −3.68350 | − | 16.1385i | −0.129186 | − | 0.566000i | ||||
\(814\) | −16.3463 | + | 7.26234i | −0.572936 | + | 0.254545i | ||||
\(815\) | −2.63719 | −0.0923768 | ||||||||
\(816\) | −1.43613 | − | 4.24876i | −0.0502747 | − | 0.148736i | ||||
\(817\) | 10.6416 | − | 22.0976i | 0.372304 | − | 0.773097i | ||||
\(818\) | −9.75047 | + | 37.3879i | −0.340917 | + | 1.30724i | ||||
\(819\) | −1.81941 | − | 12.5933i | −0.0635754 | − | 0.440046i | ||||
\(820\) | −1.60065 | − | 0.0984383i | −0.0558972 | − | 0.00343761i | ||||
\(821\) | −5.69088 | − | 24.9334i | −0.198613 | − | 0.870180i | −0.971763 | − | 0.235957i | \(-0.924177\pi\) |
0.773150 | − | 0.634223i | \(-0.218680\pi\) | |||||||
\(822\) | −8.48557 | + | 16.3188i | −0.295968 | + | 0.569183i | ||||
\(823\) | −2.59248 | + | 5.38333i | −0.0903680 | + | 0.187651i | −0.941254 | − | 0.337699i | \(-0.890351\pi\) |
0.850886 | + | 0.525350i | \(0.176066\pi\) | |||||||
\(824\) | −33.0360 | + | 21.6945i | −1.15086 | + | 0.755765i | ||||
\(825\) | 3.49095 | + | 7.24903i | 0.121539 | + | 0.252379i | ||||
\(826\) | 34.4882 | − | 34.5277i | 1.20000 | − | 1.20137i | ||||
\(827\) | 7.68871 | − | 15.9658i | 0.267362 | − | 0.555184i | −0.723458 | − | 0.690368i | \(-0.757448\pi\) |
0.990820 | + | 0.135185i | \(0.0431627\pi\) | |||||||
\(828\) | 11.6905 | + | 3.43545i | 0.406272 | + | 0.119390i | ||||
\(829\) | −49.5032 | − | 11.2988i | −1.71932 | − | 0.392423i | −0.754699 | − | 0.656072i | \(-0.772217\pi\) |
−0.964619 | + | 0.263649i | \(0.915074\pi\) | |||||||
\(830\) | 0.882936 | − | 1.03998i | 0.0306472 | − | 0.0360983i | ||||
\(831\) | −0.471847 | − | 0.591678i | −0.0163682 | − | 0.0205251i | ||||
\(832\) | 22.7618 | − | 31.0184i | 0.789125 | − | 1.07537i | ||||
\(833\) | 6.84458 | − | 3.84084i | 0.237151 | − | 0.133077i | ||||
\(834\) | −4.85889 | − | 10.9365i | −0.168250 | − | 0.378700i | ||||
\(835\) | 3.22012 | − | 2.56796i | 0.111437 | − | 0.0888680i | ||||
\(836\) | 20.4336 | + | 6.00476i | 0.706710 | + | 0.207679i | ||||
\(837\) | −1.10713 | + | 4.85064i | −0.0382679 | + | 0.167663i | ||||
\(838\) | 24.0900 | + | 20.4523i | 0.832177 | + | 0.706512i | ||||
\(839\) | −20.1240 | − | 9.69118i | −0.694756 | − | 0.334577i | 0.0529590 | − | 0.998597i | \(-0.483135\pi\) |
−0.747715 | + | 0.664020i | \(0.768849\pi\) | |||||||
\(840\) | −1.33969 | − | 0.562388i | −0.0462237 | − | 0.0194042i | ||||
\(841\) | −73.3017 | + | 35.3002i | −2.52764 | + | 1.21725i | ||||
\(842\) | 17.2909 | + | 4.50934i | 0.595885 | + | 0.155402i | ||||
\(843\) | 9.60248 | + | 4.62431i | 0.330727 | + | 0.159270i | ||||
\(844\) | −1.46838 | + | 23.8766i | −0.0505438 | + | 0.821866i | ||||
\(845\) | −1.91728 | + | 0.437606i | −0.0659563 | + | 0.0150541i | ||||
\(846\) | 0.525406 | − | 1.01042i | 0.0180638 | − | 0.0347389i | ||||
\(847\) | −1.79019 | + | 22.0754i | −0.0615118 | + | 0.758519i | ||||
\(848\) | −46.8602 | − | 30.1446i | −1.60919 | − | 1.03517i | ||||
\(849\) | 6.41496 | + | 3.08928i | 0.220161 | + | 0.106024i | ||||
\(850\) | −4.71472 | − | 6.29958i | −0.161713 | − | 0.216074i | ||||
\(851\) | 47.5250i | 1.62914i | ||||||||
\(852\) | −15.2798 | − | 13.8018i | −0.523476 | − | 0.472841i | ||||
\(853\) | −35.2501 | + | 8.04561i | −1.20694 | + | 0.275477i | −0.778239 | − | 0.627969i | \(-0.783887\pi\) |
−0.428703 | + | 0.903445i | \(0.641029\pi\) | |||||||
\(854\) | 4.22691 | − | 37.7085i | 0.144642 | − | 1.29036i | ||||
\(855\) | 1.24320 | + | 0.283752i | 0.0425166 | + | 0.00970413i | ||||
\(856\) | 11.7452 | + | 7.05528i | 0.401442 | + | 0.241145i | ||||
\(857\) | 5.38486 | + | 4.29429i | 0.183943 | + | 0.146690i | 0.711132 | − | 0.703058i | \(-0.248183\pi\) |
−0.527189 | + | 0.849748i | \(0.676754\pi\) | |||||||
\(858\) | 10.6706 | + | 2.78282i | 0.364289 | + | 0.0950039i | ||||
\(859\) | −2.43238 | + | 10.6569i | −0.0829916 | + | 0.363610i | −0.999322 | − | 0.0368126i | \(-0.988280\pi\) |
0.916331 | + | 0.400423i | \(0.131137\pi\) | |||||||
\(860\) | −0.832842 | − | 1.18712i | −0.0283997 | − | 0.0404803i | ||||
\(861\) | −9.42902 | − | 5.52104i | −0.321340 | − | 0.188156i | ||||
\(862\) | −25.1506 | − | 33.6051i | −0.856634 | − | 1.14459i | ||||
\(863\) | − | 12.9734i | − | 0.441621i | −0.975317 | − | 0.220810i | \(-0.929130\pi\) | ||
0.975317 | − | 0.220810i | \(-0.0708702\pi\) | |||||||
\(864\) | −4.91012 | + | 2.80903i | −0.167046 | + | 0.0955653i | ||||
\(865\) | 0.691742 | + | 3.03072i | 0.0235199 | + | 0.103048i | ||||
\(866\) | 11.7701 | + | 0.361582i | 0.399964 | + | 0.0122870i | ||||
\(867\) | 9.81551 | − | 12.3083i | 0.333352 | − | 0.418010i | ||||
\(868\) | −18.0467 | − | 19.1687i | −0.612546 | − | 0.650629i | ||||
\(869\) | 13.5396 | + | 16.9781i | 0.459299 | + | 0.575942i | ||||
\(870\) | −1.72837 | − | 2.30937i | −0.0585973 | − | 0.0782949i | ||||
\(871\) | −28.7887 | − | 36.0999i | −0.975469 | − | 1.22320i | ||||
\(872\) | −25.1878 | − | 24.1967i | −0.852967 | − | 0.819402i | ||||
\(873\) | 13.2748 | + | 10.5863i | 0.449285 | + | 0.358293i | ||||
\(874\) | 36.6233 | − | 43.1374i | 1.23880 | − | 1.45914i | ||||
\(875\) | −5.10083 | − | 0.413650i | −0.172439 | − | 0.0139839i | ||||
\(876\) | 2.07392 | + | 5.08322i | 0.0700712 | + | 0.171746i | ||||
\(877\) | 37.3540 | − | 17.9887i | 1.26135 | − | 0.607436i | 0.320821 | − | 0.947140i | \(-0.396041\pi\) |
0.940533 | + | 0.339704i | \(0.110327\pi\) | |||||||
\(878\) | 4.88861 | − | 0.958889i | 0.164982 | − | 0.0323609i | ||||
\(879\) | −1.52364 | − | 3.16386i | −0.0513909 | − | 0.106714i | ||||
\(880\) | 0.899830 | − | 0.880877i | 0.0303333 | − | 0.0296944i | ||||
\(881\) | 0.419975i | 0.0141493i | 0.999975 | + | 0.00707465i | \(0.00225195\pi\) | ||||
−0.999975 | + | 0.00707465i | \(0.997748\pi\) | |||||||
\(882\) | −6.41560 | − | 7.53924i | −0.216024 | − | 0.253859i | ||||
\(883\) | − | 6.79523i | − | 0.228678i | −0.993442 | − | 0.114339i | \(-0.963525\pi\) | ||
0.993442 | − | 0.114339i | \(-0.0364749\pi\) | |||||||
\(884\) | −10.7642 | − | 0.661983i | −0.362038 | − | 0.0222649i | ||||
\(885\) | 1.09875 | + | 2.28158i | 0.0369340 | + | 0.0766943i | ||||
\(886\) | 6.30116 | + | 32.1246i | 0.211692 | + | 1.07925i | ||||
\(887\) | −10.2556 | + | 4.93882i | −0.344348 | + | 0.165829i | −0.598062 | − | 0.801450i | \(-0.704062\pi\) |
0.253714 | + | 0.967279i | \(0.418348\pi\) | |||||||
\(888\) | −15.9113 | − | 15.2852i | −0.533949 | − | 0.512938i | ||||
\(889\) | 40.3892 | − | 15.5671i | 1.35461 | − | 0.522104i | ||||
\(890\) | 0.379590 | + | 0.322269i | 0.0127239 | + | 0.0108025i | ||||
\(891\) | −1.26765 | − | 1.01092i | −0.0424680 | − | 0.0338671i | ||||
\(892\) | −5.40667 | + | 2.20588i | −0.181029 | + | 0.0738584i | ||||
\(893\) | −3.29760 | − | 4.13506i | −0.110350 | − | 0.138374i | ||||
\(894\) | 9.55428 | − | 7.15060i | 0.319543 | − | 0.239152i | ||||
\(895\) | 1.57186 | + | 1.97105i | 0.0525414 | + | 0.0658848i | ||||
\(896\) | 2.13820 | − | 29.8568i | 0.0714323 | − | 0.997445i | ||||
\(897\) | 18.2681 | − | 22.9075i | 0.609956 | − | 0.764860i | ||||
\(898\) | 1.44422 | − | 47.0119i | 0.0481944 | − | 1.56881i | ||||
\(899\) | −11.6306 | − | 50.9568i | −0.387901 | − | 1.69951i | ||||
\(900\) | −6.65251 | + | 7.36491i | −0.221750 | + | 0.245497i | ||||
\(901\) | 15.6183i | 0.520322i | ||||||||
\(902\) | 7.58148 | − | 5.67411i | 0.252436 | − | 0.188927i | ||||
\(903\) | −1.41279 | − | 9.77878i | −0.0470146 | − | 0.325417i | ||||
\(904\) | 1.40665 | − | 2.34171i | 0.0467846 | − | 0.0778840i | ||||
\(905\) | 0.152951 | − | 0.670124i | 0.00508427 | − | 0.0222757i | ||||
\(906\) | −1.01468 | + | 3.89078i | −0.0337106 | + | 0.129262i | ||||
\(907\) | 14.2731 | + | 11.3824i | 0.473931 | + | 0.377947i | 0.831127 | − | 0.556082i | \(-0.187696\pi\) |
−0.357197 | + | 0.934029i | \(0.616267\pi\) | |||||||
\(908\) | −13.3070 | − | 18.9675i | −0.441608 | − | 0.629459i | ||||
\(909\) | −7.01469 | − | 1.60106i | −0.232663 | − | 0.0531038i | ||||
\(910\) | −2.46906 | + | 2.47189i | −0.0818486 | + | 0.0819422i | ||||
\(911\) | 44.8172 | − | 10.2292i | 1.48486 | − | 0.338910i | 0.598207 | − | 0.801342i | \(-0.295880\pi\) |
0.886655 | + | 0.462432i | \(0.153023\pi\) | |||||||
\(912\) | 2.66339 | + | 26.1355i | 0.0881937 | + | 0.865432i | ||||
\(913\) | 8.05575i | 0.266606i | ||||||||
\(914\) | 26.8742 | − | 20.1132i | 0.888921 | − | 0.665284i | ||||
\(915\) | 1.77399 | + | 0.854310i | 0.0586464 | + | 0.0282426i | ||||
\(916\) | 11.8015 | − | 1.94060i | 0.389933 | − | 0.0641192i | ||||
\(917\) | −8.00491 | − | 2.52292i | −0.264345 | − | 0.0833142i | ||||
\(918\) | 1.40683 | + | 0.731533i | 0.0464322 | + | 0.0241442i | ||||
\(919\) | −1.92359 | + | 0.439047i | −0.0634534 | + | 0.0144828i | −0.254130 | − | 0.967170i | \(-0.581789\pi\) |
0.190676 | + | 0.981653i | \(0.438932\pi\) | |||||||
\(920\) | −1.16817 | − | 3.13515i | −0.0385133 | − | 0.103363i | ||||
\(921\) | −8.11423 | − | 3.90761i | −0.267373 | − | 0.128760i | ||||
\(922\) | 5.25892 | − | 20.1651i | 0.173193 | − | 0.664104i | ||||
\(923\) | −44.6086 | + | 21.4824i | −1.46831 | + | 0.707101i | ||||
\(924\) | 8.17984 | − | 2.58833i | 0.269097 | − | 0.0851499i | ||||
\(925\) | −34.8760 | − | 16.7954i | −1.14672 | − | 0.552229i | ||||
\(926\) | −6.64771 | + | 7.83011i | −0.218457 | + | 0.257313i | ||||
\(927\) | 3.10936 | − | 13.6230i | 0.102125 | − | 0.447438i | ||||
\(928\) | 33.6699 | − | 48.9675i | 1.10527 | − | 1.60744i | ||||
\(929\) | −44.2731 | + | 35.3066i | −1.45255 | + | 1.15837i | −0.495446 | + | 0.868639i | \(0.664995\pi\) |
−0.957107 | + | 0.289734i | \(0.906433\pi\) | |||||||
\(930\) | 1.24847 | − | 0.554674i | 0.0409391 | − | 0.0181885i | ||||
\(931\) | −44.0940 | + | 13.0125i | −1.44512 | + | 0.426469i | ||||
\(932\) | 10.0899 | − | 11.1704i | 0.330506 | − | 0.365899i | ||||
\(933\) | −11.0302 | − | 13.8315i | −0.361114 | − | 0.452822i | ||||
\(934\) | −27.2612 | − | 23.1446i | −0.892015 | − | 0.757315i | ||||
\(935\) | −0.344119 | − | 0.0785428i | −0.0112539 | − | 0.00256863i | ||||
\(936\) | 1.79394 | + | 13.4838i | 0.0586366 | + | 0.440731i | ||||
\(937\) | −10.5685 | + | 21.9458i | −0.345259 | + | 0.716939i | −0.999216 | − | 0.0395936i | \(-0.987394\pi\) |
0.653956 | + | 0.756532i | \(0.273108\pi\) | |||||||
\(938\) | −33.9145 | − | 11.8455i | −1.10735 | − | 0.386768i | ||||
\(939\) | 9.45677 | + | 19.6372i | 0.308610 | + | 0.640835i | ||||
\(940\) | −0.308565 | + | 0.0507393i | −0.0100643 | + | 0.00165493i | ||||
\(941\) | 22.7132 | − | 47.1644i | 0.740428 | − | 1.53751i | −0.0996338 | − | 0.995024i | \(-0.531767\pi\) |
0.840062 | − | 0.542491i | \(-0.182519\pi\) | |||||||
\(942\) | −10.5525 | − | 5.48716i | −0.343818 | − | 0.178781i | ||||
\(943\) | −5.59876 | − | 24.5298i | −0.182321 | − | 0.798799i | ||||
\(944\) | −37.2811 | + | 36.4958i | −1.21340 | + | 1.18784i | ||||
\(945\) | 0.479323 | − | 0.184744i | 0.0155924 | − | 0.00600974i | ||||
\(946\) | 8.28582 | + | 2.16088i | 0.269395 | + | 0.0702562i | ||||
\(947\) | 13.4708 | − | 27.9725i | 0.437743 | − | 0.908984i | −0.559063 | − | 0.829125i | \(-0.688839\pi\) |
0.996806 | − | 0.0798582i | \(-0.0254468\pi\) | |||||||
\(948\) | −13.0818 | + | 23.3750i | −0.424877 | + | 0.759186i | ||||
\(949\) | 13.2014 | 0.428536 | ||||||||
\(950\) | 18.7134 | + | 42.1206i | 0.607143 | + | 1.36657i | ||||
\(951\) | 0.613582 | + | 2.68828i | 0.0198968 | + | 0.0871734i | ||||
\(952\) | −7.36275 | + | 4.02371i | −0.238628 | + | 0.130409i | ||||
\(953\) | −1.13714 | + | 4.98214i | −0.0368356 | + | 0.161387i | −0.990001 | − | 0.141064i | \(-0.954948\pi\) |
0.953165 | + | 0.302451i | \(0.0978049\pi\) | |||||||
\(954\) | 19.3312 | − | 3.79177i | 0.625870 | − | 0.122763i | ||||
\(955\) | 0.794827 | − | 0.996681i | 0.0257200 | − | 0.0322519i | ||||
\(956\) | 8.79941 | − | 1.44694i | 0.284593 | − | 0.0467975i | ||||
\(957\) | 16.6059 | + | 3.79019i | 0.536793 | + | 0.122520i | ||||
\(958\) | 49.1833 | − | 9.64719i | 1.58904 | − | 0.311687i | ||||
\(959\) | 32.8190 | + | 10.3436i | 1.05978 | + | 0.334013i | ||||
\(960\) | 1.42536 | + | 0.617241i | 0.0460032 | + | 0.0199214i | ||||
\(961\) | −6.24557 | −0.201470 | ||||||||
\(962\) | −48.4851 | + | 21.5410i | −1.56322 | + | 0.694510i | ||||
\(963\) | −4.72270 | + | 1.07792i | −0.152187 | + | 0.0347356i | ||||
\(964\) | 9.27799 | + | 22.7406i | 0.298824 | + | 0.732425i | ||||
\(965\) | 0.865602 | + | 0.690295i | 0.0278647 | + | 0.0222214i | ||||
\(966\) | 2.53936 | − | 22.6538i | 0.0817027 | − | 0.728874i | ||||
\(967\) | −32.1980 | + | 25.6770i | −1.03542 | + | 0.825718i | −0.984921 | − | 0.173006i | \(-0.944652\pi\) |
−0.0504968 | + | 0.998724i | \(0.516080\pi\) | |||||||
\(968\) | 2.17833 | − | 23.5766i | 0.0700143 | − | 0.757781i | ||||
\(969\) | 5.75732 | − | 4.59131i | 0.184952 | − | 0.147494i | ||||
\(970\) | 0.143155 | − | 4.65995i | 0.00459644 | − | 0.149622i | ||||
\(971\) | −4.94811 | + | 6.20474i | −0.158793 | + | 0.199120i | −0.854863 | − | 0.518854i | \(-0.826359\pi\) |
0.696070 | + | 0.717974i | \(0.254930\pi\) | |||||||
\(972\) | 0.563890 | − | 1.91886i | 0.0180868 | − | 0.0615475i | ||||
\(973\) | −18.5753 | + | 12.4986i | −0.595496 | + | 0.400688i | ||||
\(974\) | 6.47198 | + | 0.198822i | 0.207376 | + | 0.00637066i | ||||
\(975\) | 10.3546 | + | 21.5015i | 0.331612 | + | 0.688600i | ||||
\(976\) | −4.97055 | + | 40.2589i | −0.159103 | + | 1.28866i | ||||
\(977\) | −16.4341 | + | 7.91427i | −0.525775 | + | 0.253200i | −0.677890 | − | 0.735163i | \(-0.737106\pi\) |
0.152116 | + | 0.988363i | \(0.451391\pi\) | |||||||
\(978\) | 17.0425 | + | 8.86190i | 0.544959 | + | 0.283372i | ||||
\(979\) | −2.94033 | −0.0939732 | ||||||||
\(980\) | −0.601830 | + | 2.65075i | −0.0192247 | + | 0.0846751i | ||||
\(981\) | 12.3486 | 0.394261 | ||||||||
\(982\) | −41.1436 | − | 21.3942i | −1.31295 | − | 0.682716i | ||||
\(983\) | −28.9911 | + | 13.9614i | −0.924673 | + | 0.445299i | −0.834737 | − | 0.550649i | \(-0.814380\pi\) |
−0.0899358 | + | 0.995948i | \(0.528666\pi\) | |||||||
\(984\) | 10.0132 | + | 6.01491i | 0.319210 | + | 0.191748i | ||||
\(985\) | −1.41299 | − | 2.93411i | −0.0450216 | − | 0.0934884i | ||||
\(986\) | −16.6497 | − | 0.511486i | −0.530235 | − | 0.0162890i | ||||
\(987\) | −2.03207 | − | 0.640451i | −0.0646815 | − | 0.0203858i | ||||
\(988\) | 60.6085 | + | 17.8109i | 1.92821 | + | 0.566639i | ||||
\(989\) | 14.1853 | − | 17.7878i | 0.451067 | − | 0.565620i | ||||
\(990\) | −0.0136703 | + | 0.444992i | −0.000434472 | + | 0.0141428i | ||||
\(991\) | −12.7354 | + | 10.1561i | −0.404552 | + | 0.322620i | −0.804538 | − | 0.593902i | \(-0.797587\pi\) |
0.399985 | + | 0.916522i | \(0.369015\pi\) | |||||||
\(992\) | 19.0617 | + | 20.7073i | 0.605211 | + | 0.657457i | ||||
\(993\) | 14.8839 | − | 11.8695i | 0.472326 | − | 0.376667i | ||||
\(994\) | −20.4757 | + | 32.6283i | −0.649451 | + | 1.03491i | ||||
\(995\) | −1.43473 | − | 1.14416i | −0.0454841 | − | 0.0362724i | ||||
\(996\) | −9.20056 | + | 3.75376i | −0.291531 | + | 0.118942i | ||||
\(997\) | −52.6629 | + | 12.0200i | −1.66785 | + | 0.380676i | −0.949195 | − | 0.314690i | \(-0.898099\pi\) |
−0.718656 | + | 0.695366i | \(0.755242\pi\) | |||||||
\(998\) | 12.9795 | − | 5.76654i | 0.410858 | − | 0.182537i | ||||
\(999\) | 7.80070 | 0.246803 |
(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 | 588.2.x.a.139.19 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.b.139.4 | yes | 168 | ||
49.6 | odd | 14 | 588.2.x.b.55.4 | yes | 168 | ||
196.55 | even | 14 | inner | 588.2.x.a.55.19 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.19 | ✓ | 168 | 196.55 | even | 14 | inner | |
588.2.x.a.139.19 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.55.4 | yes | 168 | 49.6 | odd | 14 | ||
588.2.x.b.139.4 | yes | 168 | 4.3 | odd | 2 |