Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(20,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bh (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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 398.42 | ||
Character | \(\chi\) | \(=\) | 441.398 |
Dual form | 441.2.bh.a.41.42 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.52873 | − | 0.599983i | 1.08098 | − | 0.424252i | 0.243038 | − | 0.970017i | \(-0.421856\pi\) |
0.837938 | + | 0.545765i | \(0.183761\pi\) | |||||||
\(3\) | 1.14417 | + | 1.30034i | 0.660585 | + | 0.750751i | ||||
\(4\) | 0.510936 | − | 0.474079i | 0.255468 | − | 0.237040i | ||||
\(5\) | 0.0481771 | + | 0.642879i | 0.0215455 | + | 0.287504i | 0.997561 | + | 0.0698026i | \(0.0222369\pi\) |
−0.976015 | + | 0.217702i | \(0.930144\pi\) | |||||||
\(6\) | 2.52930 | + | 1.30139i | 1.03258 | + | 0.531290i | ||||
\(7\) | 1.24367 | − | 2.33523i | 0.470063 | − | 0.882633i | ||||
\(8\) | −0.928450 | + | 1.92795i | −0.328257 | + | 0.681632i | ||||
\(9\) | −0.381764 | + | 2.97561i | −0.127255 | + | 0.991870i | ||||
\(10\) | 0.459366 | + | 0.953884i | 0.145264 | + | 0.301645i | ||||
\(11\) | 2.85570 | − | 1.12078i | 0.861027 | − | 0.337928i | 0.106592 | − | 0.994303i | \(-0.466006\pi\) |
0.754435 | + | 0.656375i | \(0.227911\pi\) | |||||||
\(12\) | 1.20106 | + | 0.121964i | 0.346716 | + | 0.0352080i | ||||
\(13\) | −0.424627 | + | 2.81722i | −0.117770 | + | 0.781355i | 0.849497 | + | 0.527594i | \(0.176906\pi\) |
−0.967267 | + | 0.253761i | \(0.918332\pi\) | |||||||
\(14\) | 0.500141 | − | 4.31611i | 0.133668 | − | 1.15353i | ||||
\(15\) | −0.780838 | + | 0.798208i | −0.201612 | + | 0.206096i | ||||
\(16\) | −0.366789 | + | 4.89447i | −0.0916974 | + | 1.22362i | ||||
\(17\) | 0.255080 | − | 1.11758i | 0.0618660 | − | 0.271053i | −0.934529 | − | 0.355887i | \(-0.884179\pi\) |
0.996395 | + | 0.0848340i | \(0.0270360\pi\) | |||||||
\(18\) | 1.20170 | + | 4.77796i | 0.283244 | + | 1.12618i | ||||
\(19\) | − | 2.78250i | − | 0.638350i | −0.947696 | − | 0.319175i | \(-0.896594\pi\) | ||
0.947696 | − | 0.319175i | \(-0.103406\pi\) | |||||||
\(20\) | 0.329391 | + | 0.305630i | 0.0736541 | + | 0.0683410i | ||||
\(21\) | 4.45955 | − | 1.05470i | 0.973154 | − | 0.230154i | ||||
\(22\) | 3.69315 | − | 3.42674i | 0.787383 | − | 0.730584i | ||||
\(23\) | −5.92497 | − | 6.38559i | −1.23544 | − | 1.33149i | −0.924559 | − | 0.381040i | \(-0.875566\pi\) |
−0.310882 | − | 0.950448i | \(-0.600624\pi\) | |||||||
\(24\) | −3.56929 | + | 0.998593i | −0.728578 | + | 0.203837i | ||||
\(25\) | 4.53318 | − | 0.683267i | 0.906636 | − | 0.136653i | ||||
\(26\) | 1.04114 | + | 4.56154i | 0.204184 | + | 0.894591i | ||||
\(27\) | −4.30610 | + | 2.90817i | −0.828710 | + | 0.559678i | ||||
\(28\) | −0.471647 | − | 1.78275i | −0.0891329 | − | 0.336908i | ||||
\(29\) | −0.853937 | + | 0.920325i | −0.158572 | + | 0.170900i | −0.807341 | − | 0.590086i | \(-0.799094\pi\) |
0.648768 | + | 0.760986i | \(0.275284\pi\) | |||||||
\(30\) | −0.714781 | + | 1.68873i | −0.130501 | + | 0.308319i | ||||
\(31\) | −4.77494 | + | 2.75681i | −0.857604 | + | 0.495138i | −0.863209 | − | 0.504847i | \(-0.831549\pi\) |
0.00560541 | + | 0.999984i | \(0.498216\pi\) | |||||||
\(32\) | 1.11440 | + | 3.61281i | 0.197000 | + | 0.638660i | ||||
\(33\) | 4.72480 | + | 2.43102i | 0.822481 | + | 0.423187i | ||||
\(34\) | −0.280579 | − | 1.86152i | −0.0481190 | − | 0.319248i | ||||
\(35\) | 1.56119 | + | 0.687025i | 0.263888 | + | 0.116128i | ||||
\(36\) | 1.21562 | + | 1.70133i | 0.202603 | + | 0.283555i | ||||
\(37\) | 2.37473 | − | 10.4044i | 0.390403 | − | 1.71047i | −0.272836 | − | 0.962061i | \(-0.587962\pi\) |
0.663239 | − | 0.748408i | \(-0.269181\pi\) | |||||||
\(38\) | −1.66945 | − | 4.25370i | −0.270821 | − | 0.690041i | ||||
\(39\) | −4.14918 | + | 2.67121i | −0.664401 | + | 0.427735i | ||||
\(40\) | −1.28417 | − | 0.503998i | −0.203045 | − | 0.0796892i | ||||
\(41\) | 0.285247 | + | 3.80636i | 0.0445481 | + | 0.594453i | 0.974152 | + | 0.225893i | \(0.0725300\pi\) |
−0.929604 | + | 0.368560i | \(0.879851\pi\) | |||||||
\(42\) | 6.18466 | − | 4.28800i | 0.954313 | − | 0.661653i | ||||
\(43\) | 0.109879 | − | 1.46623i | 0.0167564 | − | 0.223599i | −0.982539 | − | 0.186058i | \(-0.940429\pi\) |
0.999295 | − | 0.0375404i | \(-0.0119523\pi\) | |||||||
\(44\) | 0.927742 | − | 1.92648i | 0.139862 | − | 0.290427i | ||||
\(45\) | −1.93135 | − | 0.102071i | −0.287909 | − | 0.0152159i | ||||
\(46\) | −12.8889 | − | 6.20698i | −1.90037 | − | 0.915169i | ||||
\(47\) | 1.74574 | + | 4.44807i | 0.254642 | + | 0.648818i | 0.999837 | − | 0.0180283i | \(-0.00573890\pi\) |
−0.745195 | + | 0.666847i | \(0.767644\pi\) | |||||||
\(48\) | −6.78413 | + | 5.12314i | −0.979205 | + | 0.739461i | ||||
\(49\) | −3.90657 | − | 5.80850i | −0.558081 | − | 0.829786i | ||||
\(50\) | 6.52007 | − | 3.76436i | 0.922077 | − | 0.532361i | ||||
\(51\) | 1.74509 | − | 0.947007i | 0.244361 | − | 0.132607i | ||||
\(52\) | 1.11863 | + | 1.64072i | 0.155126 | + | 0.227527i | ||||
\(53\) | −1.35105 | + | 0.308368i | −0.185581 | + | 0.0423576i | −0.314301 | − | 0.949323i | \(-0.601770\pi\) |
0.128720 | + | 0.991681i | \(0.458913\pi\) | |||||||
\(54\) | −4.83802 | + | 7.02940i | −0.658371 | + | 0.956581i | ||||
\(55\) | 0.858106 | + | 1.78188i | 0.115707 | + | 0.240268i | ||||
\(56\) | 3.34751 | + | 4.56587i | 0.447330 | + | 0.610140i | ||||
\(57\) | 3.61820 | − | 3.18365i | 0.479242 | − | 0.421685i | ||||
\(58\) | −0.753260 | + | 1.91928i | −0.0989079 | + | 0.252013i | ||||
\(59\) | −7.97062 | − | 5.43427i | −1.03769 | − | 0.707482i | −0.0804404 | − | 0.996759i | \(-0.525633\pi\) |
−0.957245 | + | 0.289277i | \(0.906585\pi\) | |||||||
\(60\) | −0.0205446 | + | 0.778012i | −0.00265229 | + | 0.100441i | ||||
\(61\) | 2.11544 | − | 2.27990i | 0.270854 | − | 0.291911i | −0.582947 | − | 0.812510i | \(-0.698101\pi\) |
0.853802 | + | 0.520598i | \(0.174291\pi\) | |||||||
\(62\) | −5.64555 | + | 7.07930i | −0.716986 | + | 0.899072i | ||||
\(63\) | 6.47394 | + | 4.59218i | 0.815639 | + | 0.578561i | ||||
\(64\) | −2.24917 | − | 2.82037i | −0.281146 | − | 0.352546i | ||||
\(65\) | −1.83159 | − | 0.137258i | −0.227180 | − | 0.0170248i | ||||
\(66\) | 8.68151 | + | 0.881582i | 1.06862 | + | 0.108515i | ||||
\(67\) | −2.45560 | − | 4.25322i | −0.299999 | − | 0.519614i | 0.676136 | − | 0.736777i | \(-0.263653\pi\) |
−0.976135 | + | 0.217163i | \(0.930320\pi\) | |||||||
\(68\) | −0.399492 | − | 0.691940i | −0.0484455 | − | 0.0839100i | ||||
\(69\) | 1.52429 | − | 15.0107i | 0.183503 | − | 1.80707i | ||||
\(70\) | 2.79884 | + | 0.113592i | 0.334525 | + | 0.0135769i | ||||
\(71\) | −6.56623 | + | 1.49870i | −0.779269 | + | 0.177863i | −0.593612 | − | 0.804752i | \(-0.702298\pi\) |
−0.185657 | + | 0.982615i | \(0.559441\pi\) | |||||||
\(72\) | −5.38237 | − | 3.49873i | −0.634318 | − | 0.412329i | ||||
\(73\) | −0.705605 | + | 0.562701i | −0.0825848 | + | 0.0658592i | −0.663912 | − | 0.747811i | \(-0.731105\pi\) |
0.581327 | + | 0.813670i | \(0.302534\pi\) | |||||||
\(74\) | −2.61212 | − | 17.3303i | −0.303653 | − | 2.01460i | ||||
\(75\) | 6.07520 | + | 5.11290i | 0.701503 | + | 0.590387i | ||||
\(76\) | −1.31913 | − | 1.42168i | −0.151314 | − | 0.163078i | ||||
\(77\) | 0.934275 | − | 8.06260i | 0.106471 | − | 0.918818i | ||||
\(78\) | −4.74030 | + | 6.57299i | −0.536734 | + | 0.744245i | ||||
\(79\) | 6.63674 | − | 11.4952i | 0.746691 | − | 1.29331i | −0.202709 | − | 0.979239i | \(-0.564975\pi\) |
0.949400 | − | 0.314068i | \(-0.101692\pi\) | |||||||
\(80\) | −3.16422 | −0.353771 | ||||||||
\(81\) | −8.70851 | − | 2.27196i | −0.967613 | − | 0.252440i | ||||
\(82\) | 2.71981 | + | 5.64775i | 0.300353 | + | 0.623690i | ||||
\(83\) | −5.86303 | + | 0.883709i | −0.643551 | + | 0.0969997i | −0.462706 | − | 0.886512i | \(-0.653121\pi\) |
−0.180845 | + | 0.983512i | \(0.557883\pi\) | |||||||
\(84\) | 1.77854 | − | 2.65306i | 0.194054 | − | 0.289473i | ||||
\(85\) | 0.730758 | + | 0.110144i | 0.0792618 | + | 0.0119468i | ||||
\(86\) | −0.711740 | − | 2.30740i | −0.0767489 | − | 0.248814i | ||||
\(87\) | −2.17378 | − | 0.0574019i | −0.233054 | − | 0.00615413i | ||||
\(88\) | −0.490572 | + | 6.54623i | −0.0522952 | + | 0.697831i | ||||
\(89\) | 4.79110 | + | 6.00784i | 0.507855 | + | 0.636830i | 0.967981 | − | 0.251023i | \(-0.0807671\pi\) |
−0.460126 | + | 0.887854i | \(0.652196\pi\) | |||||||
\(90\) | −3.01376 | + | 1.00274i | −0.317678 | + | 0.105698i | ||||
\(91\) | 6.05074 | + | 4.49529i | 0.634290 | + | 0.471234i | ||||
\(92\) | −6.05456 | − | 0.453726i | −0.631231 | − | 0.0473042i | ||||
\(93\) | −9.04811 | − | 3.05478i | −0.938245 | − | 0.316766i | ||||
\(94\) | 5.33754 | + | 5.75249i | 0.550525 | + | 0.593325i | ||||
\(95\) | 1.78881 | − | 0.134053i | 0.183528 | − | 0.0137536i | ||||
\(96\) | −3.42281 | + | 5.58276i | −0.349339 | + | 0.569788i | ||||
\(97\) | 11.1315 | + | 6.42677i | 1.13023 | + | 0.652539i | 0.943993 | − | 0.329965i | \(-0.107037\pi\) |
0.186238 | + | 0.982505i | \(0.440370\pi\) | |||||||
\(98\) | −9.45710 | − | 6.53577i | −0.955311 | − | 0.660212i | ||||
\(99\) | 2.24480 | + | 8.92533i | 0.225611 | + | 0.897030i | ||||
\(100\) | 1.99224 | − | 2.49819i | 0.199224 | − | 0.249819i | ||||
\(101\) | −12.5736 | + | 8.57256i | −1.25112 | + | 0.853002i | −0.993565 | − | 0.113261i | \(-0.963870\pi\) |
−0.257559 | + | 0.966263i | \(0.582918\pi\) | |||||||
\(102\) | 2.09958 | − | 2.49474i | 0.207889 | − | 0.247016i | ||||
\(103\) | 13.9860 | − | 1.04810i | 1.37808 | − | 0.103273i | 0.635018 | − | 0.772498i | \(-0.280993\pi\) |
0.743060 | + | 0.669225i | \(0.233374\pi\) | |||||||
\(104\) | −5.03720 | − | 3.43430i | −0.493938 | − | 0.336761i | ||||
\(105\) | 0.892891 | + | 2.81614i | 0.0871373 | + | 0.274827i | ||||
\(106\) | −1.88038 | + | 1.28202i | −0.182638 | + | 0.124521i | ||||
\(107\) | −5.83450 | + | 4.65286i | −0.564043 | + | 0.449809i | −0.863534 | − | 0.504290i | \(-0.831754\pi\) |
0.299492 | + | 0.954099i | \(0.403183\pi\) | |||||||
\(108\) | −0.821439 | + | 3.52732i | −0.0790430 | + | 0.339417i | ||||
\(109\) | −6.76887 | + | 8.48790i | −0.648341 | + | 0.812993i | −0.992018 | − | 0.126094i | \(-0.959756\pi\) |
0.343678 | + | 0.939088i | \(0.388327\pi\) | |||||||
\(110\) | 2.38091 | + | 2.20916i | 0.227011 | + | 0.210635i | ||||
\(111\) | 16.2463 | − | 8.81639i | 1.54203 | − | 0.836814i | ||||
\(112\) | 10.9735 | + | 6.94364i | 1.03690 | + | 0.656112i | ||||
\(113\) | 15.7859 | + | 6.19550i | 1.48501 | + | 0.582823i | 0.962853 | − | 0.270026i | \(-0.0870324\pi\) |
0.522157 | + | 0.852850i | \(0.325128\pi\) | |||||||
\(114\) | 3.62112 | − | 7.03780i | 0.339149 | − | 0.659150i | ||||
\(115\) | 3.81972 | − | 4.11668i | 0.356191 | − | 0.383882i | ||||
\(116\) | 0.875061i | 0.0812473i | ||||||||
\(117\) | −8.22083 | − | 2.33904i | −0.760016 | − | 0.216244i | ||||
\(118\) | −15.4454 | − | 3.52531i | −1.42186 | − | 0.324531i | ||||
\(119\) | −2.29257 | − | 1.98557i | −0.210159 | − | 0.182017i | ||||
\(120\) | −0.813933 | − | 2.24651i | −0.0743016 | − | 0.205077i | ||||
\(121\) | −1.16468 | + | 1.08067i | −0.105880 | + | 0.0982425i | ||||
\(122\) | 1.86604 | − | 4.75458i | 0.168943 | − | 0.430460i | ||||
\(123\) | −4.62318 | + | 4.72603i | −0.416858 | + | 0.426131i | ||||
\(124\) | −1.13274 | + | 3.67225i | −0.101723 | + | 0.329778i | ||||
\(125\) | 1.37493 | + | 6.02396i | 0.122977 | + | 0.538800i | ||||
\(126\) | 12.6521 | + | 3.13596i | 1.12714 | + | 0.279374i | ||||
\(127\) | 1.55697 | − | 6.82153i | 0.138159 | − | 0.605313i | −0.857680 | − | 0.514183i | \(-0.828095\pi\) |
0.995839 | − | 0.0911297i | \(-0.0290478\pi\) | |||||||
\(128\) | −11.6790 | − | 6.74290i | −1.03229 | − | 0.595994i | ||||
\(129\) | 2.03232 | − | 1.53474i | 0.178936 | − | 0.135126i | ||||
\(130\) | −2.88236 | + | 0.889089i | −0.252799 | + | 0.0779783i | ||||
\(131\) | 14.5264 | + | 9.90396i | 1.26918 | + | 0.865313i | 0.995337 | − | 0.0964612i | \(-0.0307524\pi\) |
0.273844 | + | 0.961774i | \(0.411705\pi\) | |||||||
\(132\) | 3.56656 | − | 0.997832i | 0.310430 | − | 0.0868501i | ||||
\(133\) | −6.49778 | − | 3.46052i | −0.563429 | − | 0.300065i | ||||
\(134\) | −6.30581 | − | 5.02872i | −0.544739 | − | 0.434415i | ||||
\(135\) | −2.07706 | − | 2.62820i | −0.178765 | − | 0.226199i | ||||
\(136\) | 1.91780 | + | 1.52940i | 0.164450 | + | 0.131145i | ||||
\(137\) | −5.42967 | − | 0.406898i | −0.463888 | − | 0.0347636i | −0.159264 | − | 0.987236i | \(-0.550912\pi\) |
−0.304625 | + | 0.952472i | \(0.598531\pi\) | |||||||
\(138\) | −6.67591 | − | 23.8618i | −0.568291 | − | 2.03125i | ||||
\(139\) | 2.38133 | − | 0.178456i | 0.201981 | − | 0.0151364i | 0.0266449 | − | 0.999645i | \(-0.491518\pi\) |
0.175337 | + | 0.984509i | \(0.443899\pi\) | |||||||
\(140\) | 1.12337 | − | 0.389100i | 0.0949421 | − | 0.0328849i | ||||
\(141\) | −3.78659 | + | 7.35939i | −0.318888 | + | 0.619773i | ||||
\(142\) | −9.13881 | + | 6.23074i | −0.766912 | + | 0.522872i | ||||
\(143\) | 1.94487 | + | 8.52105i | 0.162638 | + | 0.712566i | ||||
\(144\) | −14.4240 | − | 2.95995i | −1.20200 | − | 0.246663i | ||||
\(145\) | −0.632798 | − | 0.504639i | −0.0525510 | − | 0.0419080i | ||||
\(146\) | −0.741069 | + | 1.28357i | −0.0613313 | + | 0.106229i | ||||
\(147\) | 3.08326 | − | 11.7258i | 0.254303 | − | 0.967125i | ||||
\(148\) | −3.71916 | − | 6.44178i | −0.305713 | − | 0.529511i | ||||
\(149\) | −2.68386 | + | 17.8062i | −0.219870 | + | 1.45874i | 0.557750 | + | 0.830009i | \(0.311665\pi\) |
−0.777620 | + | 0.628735i | \(0.783573\pi\) | |||||||
\(150\) | 12.3550 | + | 4.17124i | 1.00878 | + | 0.340580i | ||||
\(151\) | 9.17394 | + | 2.82979i | 0.746565 | + | 0.230285i | 0.644618 | − | 0.764505i | \(-0.277017\pi\) |
0.101947 | + | 0.994790i | \(0.467493\pi\) | |||||||
\(152\) | 5.36452 | + | 2.58342i | 0.435120 | + | 0.209543i | ||||
\(153\) | 3.22810 | + | 1.18567i | 0.260976 | + | 0.0958558i | ||||
\(154\) | −3.40916 | − | 12.8861i | −0.274718 | − | 1.03839i | ||||
\(155\) | −2.00234 | − | 2.93689i | −0.160832 | − | 0.235897i | ||||
\(156\) | −0.853602 | + | 3.33186i | −0.0683428 | + | 0.266762i | ||||
\(157\) | −11.7625 | + | 17.2524i | −0.938748 | + | 1.37689i | −0.0125213 | + | 0.999922i | \(0.503986\pi\) |
−0.926226 | + | 0.376968i | \(0.876967\pi\) | |||||||
\(158\) | 3.24888 | − | 21.5549i | 0.258467 | − | 1.71482i | ||||
\(159\) | −1.94681 | − | 1.40400i | −0.154392 | − | 0.111344i | ||||
\(160\) | −2.26891 | + | 0.890481i | −0.179373 | + | 0.0703987i | ||||
\(161\) | −22.2805 | + | 5.89457i | −1.75595 | + | 0.464557i | ||||
\(162\) | −14.6761 | + | 1.75174i | −1.15306 | + | 0.137630i | ||||
\(163\) | 15.8504 | − | 7.63314i | 1.24150 | − | 0.597873i | 0.306277 | − | 0.951942i | \(-0.400916\pi\) |
0.935219 | + | 0.354069i | \(0.115202\pi\) | |||||||
\(164\) | 1.95026 | + | 1.80957i | 0.152290 | + | 0.141304i | ||||
\(165\) | −1.33523 | + | 3.15459i | −0.103947 | + | 0.245585i | ||||
\(166\) | −8.43278 | + | 4.86867i | −0.654511 | + | 0.377882i | ||||
\(167\) | −12.7855 | + | 3.94381i | −0.989374 | + | 0.305181i | −0.746871 | − | 0.664969i | \(-0.768445\pi\) |
−0.242503 | + | 0.970151i | \(0.577968\pi\) | |||||||
\(168\) | −2.10707 | + | 9.57702i | −0.162564 | + | 0.738883i | ||||
\(169\) | 4.66605 | + | 1.43928i | 0.358927 | + | 0.110714i | ||||
\(170\) | 1.18322 | − | 0.270061i | 0.0907486 | − | 0.0207128i | ||||
\(171\) | 8.27965 | + | 1.06226i | 0.633160 | + | 0.0812329i | ||||
\(172\) | −0.638970 | − | 0.801243i | −0.0487210 | − | 0.0610942i | ||||
\(173\) | −0.429415 | − | 0.132457i | −0.0326478 | − | 0.0100705i | 0.278388 | − | 0.960469i | \(-0.410200\pi\) |
−0.311036 | + | 0.950398i | \(0.600676\pi\) | |||||||
\(174\) | −3.35757 | + | 1.21648i | −0.254536 | + | 0.0922210i | ||||
\(175\) | 4.04220 | − | 11.4358i | 0.305561 | − | 0.864463i | ||||
\(176\) | 4.43818 | + | 14.3882i | 0.334540 | + | 1.08455i | ||||
\(177\) | −2.05332 | − | 16.5822i | −0.154337 | − | 1.24640i | ||||
\(178\) | 10.9289 | + | 6.30980i | 0.819156 | + | 0.472940i | ||||
\(179\) | 7.21493 | + | 1.64676i | 0.539269 | + | 0.123085i | 0.483476 | − | 0.875358i | \(-0.339374\pi\) |
0.0557932 | + | 0.998442i | \(0.482231\pi\) | |||||||
\(180\) | −1.03519 | + | 0.863461i | −0.0771582 | + | 0.0643586i | ||||
\(181\) | 4.57595 | − | 3.64920i | 0.340127 | − | 0.271243i | −0.438497 | − | 0.898733i | \(-0.644489\pi\) |
0.778625 | + | 0.627490i | \(0.215918\pi\) | |||||||
\(182\) | 11.9471 | + | 3.24175i | 0.885575 | + | 0.240294i | ||||
\(183\) | 5.38506 | + | 0.142200i | 0.398075 | + | 0.0105118i | ||||
\(184\) | 17.8121 | − | 5.49431i | 1.31313 | − | 0.405046i | ||||
\(185\) | 6.80316 | + | 1.02541i | 0.500178 | + | 0.0753898i | ||||
\(186\) | −15.6649 | + | 0.758768i | −1.14861 | + | 0.0556356i | ||||
\(187\) | −0.524128 | − | 3.47736i | −0.0383280 | − | 0.254290i | ||||
\(188\) | 3.00070 | + | 1.44506i | 0.218849 | + | 0.105392i | ||||
\(189\) | 1.43587 | + | 13.6725i | 0.104444 | + | 0.994531i | ||||
\(190\) | 2.65419 | − | 1.27819i | 0.192555 | − | 0.0927295i | ||||
\(191\) | −14.0114 | − | 20.5509i | −1.01383 | − | 1.48701i | −0.867287 | − | 0.497808i | \(-0.834138\pi\) |
−0.146541 | − | 0.989205i | \(-0.546814\pi\) | |||||||
\(192\) | 1.09401 | − | 6.15165i | 0.0789534 | − | 0.443957i | ||||
\(193\) | −0.0725428 | − | 0.968016i | −0.00522174 | − | 0.0696793i | 0.993984 | − | 0.109524i | \(-0.0349327\pi\) |
−0.999206 | + | 0.0398448i | \(0.987314\pi\) | |||||||
\(194\) | 20.8730 | + | 3.14610i | 1.49859 | + | 0.225877i | ||||
\(195\) | −1.91716 | − | 2.53873i | −0.137291 | − | 0.181802i | ||||
\(196\) | −4.74970 | − | 1.11575i | −0.339264 | − | 0.0796964i | ||||
\(197\) | − | 9.89619i | − | 0.705075i | −0.935798 | − | 0.352537i | \(-0.885319\pi\) | ||
0.935798 | − | 0.352537i | \(-0.114681\pi\) | |||||||
\(198\) | 8.78675 | + | 12.2976i | 0.624447 | + | 0.873952i | ||||
\(199\) | −11.0687 | + | 22.9844i | −0.784638 | + | 1.62932i | −0.00751350 | + | 0.999972i | \(0.502392\pi\) |
−0.777125 | + | 0.629346i | \(0.783323\pi\) | |||||||
\(200\) | −2.89153 | + | 9.37411i | −0.204462 | + | 0.662850i | ||||
\(201\) | 2.72102 | − | 8.05951i | 0.191926 | − | 0.568474i | ||||
\(202\) | −14.0783 | + | 20.6491i | −0.990547 | + | 1.45287i | ||||
\(203\) | 1.08715 | + | 3.13872i | 0.0763031 | + | 0.220295i | ||||
\(204\) | 0.442671 | − | 1.31117i | 0.0309932 | − | 0.0918002i | ||||
\(205\) | −2.43329 | + | 0.366759i | −0.169948 | + | 0.0256155i | ||||
\(206\) | 20.7519 | − | 9.99360i | 1.44586 | − | 0.696287i | ||||
\(207\) | 21.2630 | − | 15.1926i | 1.47788 | − | 1.05596i | ||||
\(208\) | −13.6330 | − | 3.11165i | −0.945280 | − | 0.215754i | ||||
\(209\) | −3.11858 | − | 7.94600i | −0.215716 | − | 0.549636i | ||||
\(210\) | 3.05463 | + | 3.76940i | 0.210789 | + | 0.260114i | ||||
\(211\) | −1.48074 | + | 3.77286i | −0.101938 | + | 0.259734i | −0.972739 | − | 0.231901i | \(-0.925505\pi\) |
0.870801 | + | 0.491635i | \(0.163601\pi\) | |||||||
\(212\) | −0.544109 | + | 0.798061i | −0.0373695 | + | 0.0548110i | ||||
\(213\) | −9.46169 | − | 6.82357i | −0.648304 | − | 0.467543i | ||||
\(214\) | −6.12775 | + | 10.6136i | −0.418884 | + | 0.725529i | ||||
\(215\) | 0.947905 | 0.0646466 | ||||||||
\(216\) | −1.60880 | − | 11.0020i | −0.109465 | − | 0.748594i | ||||
\(217\) | 0.499333 | + | 14.5791i | 0.0338969 | + | 0.989695i | ||||
\(218\) | −5.25520 | + | 17.0369i | −0.355927 | + | 1.15389i | ||||
\(219\) | −1.53903 | − | 0.273701i | −0.103998 | − | 0.0184950i | ||||
\(220\) | 1.28319 | + | 0.503614i | 0.0865125 | + | 0.0339537i | ||||
\(221\) | 3.04015 | + | 1.19317i | 0.204503 | + | 0.0802613i | ||||
\(222\) | 19.5465 | − | 23.2254i | 1.31188 | − | 1.55879i | ||||
\(223\) | −3.71233 | + | 12.0351i | −0.248596 | + | 0.805929i | 0.742154 | + | 0.670230i | \(0.233804\pi\) |
−0.990750 | + | 0.135700i | \(0.956672\pi\) | |||||||
\(224\) | 9.82267 | + | 1.89076i | 0.656305 | + | 0.126331i | ||||
\(225\) | 0.302533 | + | 13.7498i | 0.0201689 | + | 0.916655i | ||||
\(226\) | 27.8495 | 1.85252 | ||||||||
\(227\) | 9.20020 | − | 15.9352i | 0.610639 | − | 1.05766i | −0.380494 | − | 0.924783i | \(-0.624246\pi\) |
0.991133 | − | 0.132874i | \(-0.0424205\pi\) | |||||||
\(228\) | 0.339366 | − | 3.34195i | 0.0224750 | − | 0.221326i | ||||
\(229\) | 12.0971 | − | 17.7432i | 0.799398 | − | 1.17250i | −0.182521 | − | 0.983202i | \(-0.558426\pi\) |
0.981919 | − | 0.189300i | \(-0.0606218\pi\) | |||||||
\(230\) | 3.36939 | − | 8.58506i | 0.222171 | − | 0.566082i | ||||
\(231\) | 11.5531 | − | 8.01008i | 0.760136 | − | 0.527025i | ||||
\(232\) | −0.981500 | − | 2.50082i | −0.0644386 | − | 0.164187i | ||||
\(233\) | 10.7990 | + | 2.46481i | 0.707469 | + | 0.161475i | 0.561092 | − | 0.827754i | \(-0.310382\pi\) |
0.146377 | + | 0.989229i | \(0.453239\pi\) | |||||||
\(234\) | −13.9708 | + | 1.35660i | −0.913301 | + | 0.0886838i | ||||
\(235\) | −2.77547 | + | 1.33660i | −0.181052 | + | 0.0871899i | ||||
\(236\) | −6.64875 | + | 1.00214i | −0.432797 | + | 0.0652336i | ||||
\(237\) | 22.5411 | − | 4.52238i | 1.46420 | − | 0.293760i | ||||
\(238\) | −4.69602 | − | 1.65990i | −0.304398 | − | 0.107596i | ||||
\(239\) | −7.73198 | + | 11.3407i | −0.500140 | + | 0.733571i | −0.990434 | − | 0.137986i | \(-0.955937\pi\) |
0.490294 | + | 0.871557i | \(0.336889\pi\) | |||||||
\(240\) | −3.62040 | − | 4.11456i | −0.233696 | − | 0.265594i | ||||
\(241\) | 6.09683 | − | 19.7654i | 0.392731 | − | 1.27320i | −0.516276 | − | 0.856422i | \(-0.672682\pi\) |
0.909007 | − | 0.416781i | \(-0.136842\pi\) | |||||||
\(242\) | −1.13210 | + | 2.35084i | −0.0727744 | + | 0.151118i | ||||
\(243\) | −7.00968 | − | 13.9235i | −0.449671 | − | 0.893194i | ||||
\(244\) | − | 2.16777i | − | 0.138777i | ||||||
\(245\) | 3.54596 | − | 2.79129i | 0.226543 | − | 0.178329i | ||||
\(246\) | −4.23207 | + | 9.99865i | −0.269827 | + | 0.637491i | ||||
\(247\) | 7.83891 | + | 1.18153i | 0.498778 | + | 0.0751787i | ||||
\(248\) | −0.881694 | − | 11.7654i | −0.0559876 | − | 0.747103i | ||||
\(249\) | −7.85741 | − | 6.61281i | −0.497943 | − | 0.419070i | ||||
\(250\) | 5.71617 | + | 8.38408i | 0.361522 | + | 0.530256i | ||||
\(251\) | 5.06089 | − | 2.43720i | 0.319441 | − | 0.153834i | −0.267291 | − | 0.963616i | \(-0.586129\pi\) |
0.586732 | + | 0.809781i | \(0.300414\pi\) | |||||||
\(252\) | 5.48483 | − | 0.722848i | 0.345512 | − | 0.0455352i | ||||
\(253\) | −24.0768 | − | 11.5948i | −1.51369 | − | 0.728957i | ||||
\(254\) | −1.71261 | − | 11.3624i | −0.107459 | − | 0.712943i | ||||
\(255\) | 0.692884 | + | 1.07626i | 0.0433901 | + | 0.0673977i | ||||
\(256\) | −14.7655 | − | 2.22555i | −0.922847 | − | 0.139097i | ||||
\(257\) | −13.6245 | + | 4.20261i | −0.849875 | + | 0.262152i | −0.688944 | − | 0.724814i | \(-0.741926\pi\) |
−0.160930 | + | 0.986966i | \(0.551449\pi\) | |||||||
\(258\) | 2.18606 | − | 3.56556i | 0.136098 | − | 0.221982i | ||||
\(259\) | −21.3432 | − | 18.4851i | −1.32620 | − | 1.14861i | ||||
\(260\) | −1.00090 | + | 0.798187i | −0.0620729 | + | 0.0495015i | ||||
\(261\) | −2.41253 | − | 2.89233i | −0.149332 | − | 0.179031i | ||||
\(262\) | 28.1492 | + | 6.42488i | 1.73906 | + | 0.396930i | ||||
\(263\) | 25.1439 | + | 14.5168i | 1.55044 | + | 0.895146i | 0.998106 | + | 0.0615222i | \(0.0195955\pi\) |
0.552333 | + | 0.833624i | \(0.313738\pi\) | |||||||
\(264\) | −9.07362 | + | 6.85207i | −0.558443 | + | 0.421716i | ||||
\(265\) | −0.263333 | − | 0.853705i | −0.0161764 | − | 0.0524427i | ||||
\(266\) | −12.0096 | − | 1.39165i | −0.736356 | − | 0.0853272i | ||||
\(267\) | −2.33042 | + | 13.1040i | −0.142619 | + | 0.801953i | ||||
\(268\) | −3.27102 | − | 1.00898i | −0.199809 | − | 0.0616330i | ||||
\(269\) | 1.86936 | + | 2.34410i | 0.113977 | + | 0.142923i | 0.835547 | − | 0.549419i | \(-0.185151\pi\) |
−0.721570 | + | 0.692341i | \(0.756579\pi\) | |||||||
\(270\) | −4.75214 | − | 2.77161i | −0.289206 | − | 0.168675i | ||||
\(271\) | 16.1036 | − | 3.67555i | 0.978227 | − | 0.223274i | 0.296622 | − | 0.954995i | \(-0.404140\pi\) |
0.681604 | + | 0.731721i | \(0.261283\pi\) | |||||||
\(272\) | 5.37639 | + | 1.65840i | 0.325992 | + | 0.100555i | ||||
\(273\) | 1.07766 | + | 13.0114i | 0.0652231 | + | 0.787484i | ||||
\(274\) | −8.54464 | + | 2.63567i | −0.516201 | + | 0.159227i | ||||
\(275\) | 12.1796 | − | 7.03191i | 0.734459 | − | 0.424040i | ||||
\(276\) | −6.33743 | − | 8.39211i | −0.381468 | − | 0.505146i | ||||
\(277\) | −8.07754 | − | 7.49486i | −0.485332 | − | 0.450323i | 0.399157 | − | 0.916882i | \(-0.369303\pi\) |
−0.884490 | + | 0.466560i | \(0.845493\pi\) | |||||||
\(278\) | 3.53334 | − | 1.70157i | 0.211916 | − | 0.102053i | ||||
\(279\) | −6.38030 | − | 15.2608i | −0.381978 | − | 0.913640i | ||||
\(280\) | −2.77403 | + | 2.37201i | −0.165780 | + | 0.141755i | ||||
\(281\) | −6.33448 | + | 2.48610i | −0.377884 | + | 0.148308i | −0.546678 | − | 0.837343i | \(-0.684108\pi\) |
0.168794 | + | 0.985651i | \(0.446013\pi\) | |||||||
\(282\) | −1.37316 | + | 13.5224i | −0.0817706 | + | 0.805248i | ||||
\(283\) | −4.55792 | + | 30.2399i | −0.270941 | + | 1.79757i | 0.276803 | + | 0.960927i | \(0.410725\pi\) |
−0.547744 | + | 0.836646i | \(0.684513\pi\) | |||||||
\(284\) | −2.64442 | + | 3.87866i | −0.156918 | + | 0.230156i | ||||
\(285\) | 2.22102 | + | 2.17269i | 0.131562 | + | 0.128699i | ||||
\(286\) | 8.08567 | + | 11.8595i | 0.478116 | + | 0.701267i | ||||
\(287\) | 9.24346 | + | 4.06774i | 0.545624 | + | 0.240111i | ||||
\(288\) | −11.1757 | + | 1.93679i | −0.658537 | + | 0.114127i | ||||
\(289\) | 14.1326 | + | 6.80588i | 0.831327 | + | 0.400346i | ||||
\(290\) | −1.27015 | − | 0.391790i | −0.0745859 | − | 0.0230067i | ||||
\(291\) | 4.37930 | + | 21.8280i | 0.256719 | + | 1.27958i | ||||
\(292\) | −0.0937539 | + | 0.622017i | −0.00548653 | + | 0.0364008i | ||||
\(293\) | 0.743927 | + | 1.28852i | 0.0434607 | + | 0.0752762i | 0.886937 | − | 0.461889i | \(-0.152828\pi\) |
−0.843477 | + | 0.537166i | \(0.819495\pi\) | |||||||
\(294\) | −2.32178 | − | 19.7754i | −0.135409 | − | 1.15333i | ||||
\(295\) | 3.10958 | − | 5.38595i | 0.181047 | − | 0.313582i | ||||
\(296\) | 17.8543 | + | 14.2383i | 1.03776 | + | 0.827584i | ||||
\(297\) | −9.03753 | + | 13.1311i | −0.524411 | + | 0.761942i | ||||
\(298\) | 6.58054 | + | 28.8312i | 0.381200 | + | 1.67015i | ||||
\(299\) | 20.5055 | − | 13.9804i | 1.18586 | − | 0.808508i | ||||
\(300\) | 5.52796 | − | 0.267759i | 0.319157 | − | 0.0154591i | ||||
\(301\) | −3.28734 | − | 2.08010i | −0.189479 | − | 0.119895i | ||||
\(302\) | 15.7223 | − | 1.17822i | 0.904718 | − | 0.0677992i | ||||
\(303\) | −25.5336 | − | 6.54155i | −1.46687 | − | 0.375802i | ||||
\(304\) | 13.6189 | + | 1.02059i | 0.781096 | + | 0.0585350i | ||||
\(305\) | 1.56762 | + | 1.25013i | 0.0897615 | + | 0.0715824i | ||||
\(306\) | 5.64628 | − | 0.124233i | 0.322776 | − | 0.00710195i | ||||
\(307\) | −18.1139 | − | 14.4453i | −1.03381 | − | 0.824439i | −0.0491310 | − | 0.998792i | \(-0.515645\pi\) |
−0.984683 | + | 0.174353i | \(0.944217\pi\) | |||||||
\(308\) | −3.34495 | − | 4.56239i | −0.190596 | − | 0.259966i | ||||
\(309\) | 17.3652 | + | 16.9873i | 0.987870 | + | 0.966373i | ||||
\(310\) | −4.82312 | − | 3.28835i | −0.273935 | − | 0.186766i | ||||
\(311\) | 2.63709 | − | 0.813436i | 0.149536 | − | 0.0461257i | −0.219084 | − | 0.975706i | \(-0.570307\pi\) |
0.368619 | + | 0.929580i | \(0.379831\pi\) | |||||||
\(312\) | −1.29764 | − | 10.4795i | −0.0734642 | − | 0.593284i | ||||
\(313\) | −22.8582 | − | 13.1972i | −1.29202 | − | 0.745948i | −0.313008 | − | 0.949751i | \(-0.601337\pi\) |
−0.979012 | + | 0.203803i | \(0.934670\pi\) | |||||||
\(314\) | −7.63053 | + | 33.4315i | −0.430616 | + | 1.88665i | ||||
\(315\) | −2.64032 | + | 4.38320i | −0.148765 | + | 0.246965i | ||||
\(316\) | −2.05867 | − | 9.01963i | −0.115809 | − | 0.507394i | ||||
\(317\) | −6.97120 | + | 22.6001i | −0.391541 | + | 1.26935i | 0.518589 | + | 0.855024i | \(0.326458\pi\) |
−0.910130 | + | 0.414322i | \(0.864019\pi\) | |||||||
\(318\) | −3.81852 | − | 0.978283i | −0.214132 | − | 0.0548594i | ||||
\(319\) | −1.40711 | + | 3.58525i | −0.0787829 | + | 0.200735i | ||||
\(320\) | 1.70480 | − | 1.58182i | 0.0953011 | − | 0.0884265i | ||||
\(321\) | −12.7259 | − | 2.26318i | −0.710293 | − | 0.126318i | ||||
\(322\) | −30.5243 | + | 22.3791i | −1.70105 | + | 1.24714i | ||||
\(323\) | −3.10967 | − | 0.709761i | −0.173027 | − | 0.0394922i | ||||
\(324\) | −5.52658 | + | 2.96770i | −0.307032 | + | 0.164872i | ||||
\(325\) | 13.0611i | 0.724499i | ||||||||
\(326\) | 19.6512 | − | 21.1790i | 1.08838 | − | 1.17299i | ||||
\(327\) | −18.7819 | + | 0.909743i | −1.03864 | + | 0.0503089i | ||||
\(328\) | −7.60329 | − | 2.98407i | −0.419822 | − | 0.164768i | ||||
\(329\) | 12.5584 | + | 1.45524i | 0.692366 | + | 0.0802298i | ||||
\(330\) | −0.148500 | + | 5.62364i | −0.00817468 | + | 0.309571i | ||||
\(331\) | 6.34929 | + | 5.89128i | 0.348988 | + | 0.323814i | 0.835116 | − | 0.550074i | \(-0.185400\pi\) |
−0.486127 | + | 0.873888i | \(0.661591\pi\) | |||||||
\(332\) | −2.57668 | + | 3.23106i | −0.141414 | + | 0.177327i | ||||
\(333\) | 30.0528 | + | 11.0383i | 1.64688 | + | 0.604894i | ||||
\(334\) | −17.1794 | + | 13.7001i | −0.940016 | + | 0.749638i | ||||
\(335\) | 2.61601 | − | 1.78356i | 0.142928 | − | 0.0974464i | ||||
\(336\) | 3.52646 | + | 22.2140i | 0.192384 | + | 1.21187i | ||||
\(337\) | 1.30790 | + | 0.891711i | 0.0712459 | + | 0.0485746i | 0.598419 | − | 0.801183i | \(-0.295796\pi\) |
−0.527173 | + | 0.849758i | \(0.676748\pi\) | |||||||
\(338\) | 7.99668 | − | 0.599268i | 0.434962 | − | 0.0325959i | ||||
\(339\) | 10.0054 | + | 27.6157i | 0.543420 | + | 1.49988i | ||||
\(340\) | 0.425587 | − | 0.290160i | 0.0230807 | − | 0.0157362i | ||||
\(341\) | −10.5460 | + | 13.2243i | −0.571099 | + | 0.716135i | ||||
\(342\) | 13.2947 | − | 3.34374i | 0.718894 | − | 0.180809i | ||||
\(343\) | −18.4227 | + | 1.89886i | −0.994730 | + | 0.102529i | ||||
\(344\) | 2.72481 | + | 1.57317i | 0.146912 | + | 0.0848195i | ||||
\(345\) | 9.72347 | + | 0.256763i | 0.523494 | + | 0.0138236i | ||||
\(346\) | −0.735932 | + | 0.0551505i | −0.0395639 | + | 0.00296491i | ||||
\(347\) | 3.03003 | + | 3.26559i | 0.162660 | + | 0.175306i | 0.809123 | − | 0.587640i | \(-0.199943\pi\) |
−0.646462 | + | 0.762946i | \(0.723752\pi\) | |||||||
\(348\) | −1.13788 | + | 1.00122i | −0.0609965 | + | 0.0536708i | ||||
\(349\) | −22.3017 | − | 1.67128i | −1.19378 | − | 0.0894617i | −0.537028 | − | 0.843565i | \(-0.680453\pi\) |
−0.656756 | + | 0.754103i | \(0.728072\pi\) | |||||||
\(350\) | −0.681828 | − | 19.9075i | −0.0364452 | − | 1.06410i | ||||
\(351\) | −6.36447 | − | 13.3661i | −0.339710 | − | 0.713430i | ||||
\(352\) | 7.23157 | + | 9.06810i | 0.385444 | + | 0.483331i | ||||
\(353\) | 0.125992 | − | 1.68124i | 0.00670586 | − | 0.0894835i | −0.992847 | − | 0.119397i | \(-0.961904\pi\) |
0.999553 | + | 0.0299131i | \(0.00952306\pi\) | |||||||
\(354\) | −13.0880 | − | 24.1178i | −0.695620 | − | 1.28185i | ||||
\(355\) | −1.27983 | − | 4.14909i | −0.0679261 | − | 0.220211i | ||||
\(356\) | 5.29614 | + | 0.798264i | 0.280695 | + | 0.0423079i | ||||
\(357\) | −0.0411636 | − | 5.25294i | −0.00217861 | − | 0.278015i | ||||
\(358\) | 12.0177 | − | 1.81138i | 0.635156 | − | 0.0957344i | ||||
\(359\) | −10.1194 | − | 21.0131i | −0.534080 | − | 1.10903i | −0.977152 | − | 0.212543i | \(-0.931825\pi\) |
0.443071 | − | 0.896486i | \(-0.353889\pi\) | |||||||
\(360\) | 1.98995 | − | 3.62877i | 0.104880 | − | 0.191253i | ||||
\(361\) | 11.2577 | 0.592509 | ||||||||
\(362\) | 4.80594 | − | 8.32413i | 0.252594 | − | 0.437507i | ||||
\(363\) | −2.73783 | − | 0.278018i | −0.143699 | − | 0.0145922i | ||||
\(364\) | 5.22267 | − | 0.571728i | 0.273742 | − | 0.0299667i | ||||
\(365\) | −0.395743 | − | 0.426509i | −0.0207141 | − | 0.0223245i | ||||
\(366\) | 8.31763 | − | 3.01356i | 0.434769 | − | 0.157521i | ||||
\(367\) | −2.02816 | − | 13.4560i | −0.105869 | − | 0.702396i | −0.977297 | − | 0.211873i | \(-0.932044\pi\) |
0.871428 | − | 0.490523i | \(-0.163194\pi\) | |||||||
\(368\) | 33.4273 | − | 26.6574i | 1.74252 | − | 1.38961i | ||||
\(369\) | −11.4351 | − | 0.604344i | −0.595289 | − | 0.0314609i | ||||
\(370\) | 11.0154 | − | 2.51420i | 0.572665 | − | 0.130707i | ||||
\(371\) | −0.960150 | + | 3.53852i | −0.0498485 | + | 0.183711i | ||||
\(372\) | −6.07121 | + | 2.72872i | −0.314778 | + | 0.141478i | ||||
\(373\) | −6.55224 | − | 11.3488i | −0.339262 | − | 0.587619i | 0.645032 | − | 0.764156i | \(-0.276844\pi\) |
−0.984294 | + | 0.176536i | \(0.943511\pi\) | |||||||
\(374\) | −2.88761 | − | 5.00149i | −0.149315 | − | 0.258621i | ||||
\(375\) | −6.26004 | + | 8.68029i | −0.323267 | + | 0.448248i | ||||
\(376\) | −10.1965 | − | 0.764121i | −0.525843 | − | 0.0394065i | ||||
\(377\) | −2.23015 | − | 2.79652i | −0.114859 | − | 0.144028i | ||||
\(378\) | 10.3983 | + | 20.0401i | 0.534833 | + | 1.03075i | ||||
\(379\) | 6.53491 | − | 8.19452i | 0.335676 | − | 0.420924i | −0.585134 | − | 0.810937i | \(-0.698958\pi\) |
0.920809 | + | 0.390013i | \(0.127529\pi\) | |||||||
\(380\) | 0.850417 | − | 0.916532i | 0.0436255 | − | 0.0470171i | ||||
\(381\) | 10.6517 | − | 5.78038i | 0.545705 | − | 0.296138i | ||||
\(382\) | −33.7498 | − | 23.0103i | −1.72679 | − | 1.17731i | ||||
\(383\) | 7.50025 | − | 19.1103i | 0.383245 | − | 0.976492i | −0.600932 | − | 0.799300i | \(-0.705204\pi\) |
0.984176 | − | 0.177191i | \(-0.0567012\pi\) | |||||||
\(384\) | −4.59472 | − | 22.9017i | −0.234473 | − | 1.16870i | ||||
\(385\) | 5.22829 | + | 0.212193i | 0.266458 | + | 0.0108144i | ||||
\(386\) | −0.691691 | − | 1.43631i | −0.0352062 | − | 0.0731063i | ||||
\(387\) | 4.32099 | + | 0.886712i | 0.219648 | + | 0.0450741i | ||||
\(388\) | 8.73428 | − | 1.99354i | 0.443416 | − | 0.101207i | ||||
\(389\) | −6.91793 | − | 10.1467i | −0.350753 | − | 0.514460i | 0.609801 | − | 0.792555i | \(-0.291249\pi\) |
−0.960554 | + | 0.278095i | \(0.910297\pi\) | |||||||
\(390\) | −4.45402 | − | 2.73077i | −0.225538 | − | 0.138278i | ||||
\(391\) | −8.64775 | + | 4.99278i | −0.437336 | + | 0.252496i | ||||
\(392\) | 14.8255 | − | 2.13875i | 0.748803 | − | 0.108023i | ||||
\(393\) | 3.74217 | + | 30.2211i | 0.188767 | + | 1.52445i | ||||
\(394\) | −5.93755 | − | 15.1286i | −0.299129 | − | 0.762169i | ||||
\(395\) | 7.70974 | + | 3.71282i | 0.387919 | + | 0.186812i | ||||
\(396\) | 5.37827 | + | 3.49606i | 0.270268 | + | 0.175684i | ||||
\(397\) | −11.8503 | + | 24.6074i | −0.594750 | + | 1.23501i | 0.358698 | + | 0.933454i | \(0.383221\pi\) |
−0.953448 | + | 0.301558i | \(0.902493\pi\) | |||||||
\(398\) | −3.13082 | + | 41.7779i | −0.156934 | + | 2.09414i | ||||
\(399\) | −2.93470 | − | 12.4087i | −0.146919 | − | 0.621213i | ||||
\(400\) | 1.68150 | + | 22.4381i | 0.0840752 | + | 1.12191i | ||||
\(401\) | 17.2739 | + | 6.77950i | 0.862617 | + | 0.338552i | 0.755067 | − | 0.655647i | \(-0.227604\pi\) |
0.107550 | + | 0.994200i | \(0.465699\pi\) | |||||||
\(402\) | −0.675865 | − | 13.9534i | −0.0337091 | − | 0.695932i | ||||
\(403\) | −5.73896 | − | 14.6226i | −0.285878 | − | 0.728406i | ||||
\(404\) | −2.36025 | + | 10.3409i | −0.117427 | + | 0.514481i | ||||
\(405\) | 1.04104 | − | 5.70798i | 0.0517299 | − | 0.283632i | ||||
\(406\) | 3.54514 | + | 4.14598i | 0.175942 | + | 0.205762i | ||||
\(407\) | −4.87950 | − | 32.3733i | −0.241868 | − | 1.60469i | ||||
\(408\) | 0.205553 | + | 4.24368i | 0.0101764 | + | 0.210094i | ||||
\(409\) | −2.86573 | − | 9.29047i | −0.141701 | − | 0.459384i | 0.856706 | − | 0.515805i | \(-0.172507\pi\) |
−0.998407 | + | 0.0564212i | \(0.982031\pi\) | |||||||
\(410\) | −3.49979 | + | 2.02060i | −0.172842 | + | 0.0997906i | ||||
\(411\) | −5.68335 | − | 7.52597i | −0.280339 | − | 0.371229i | ||||
\(412\) | 6.64905 | − | 7.16597i | 0.327575 | − | 0.353042i | ||||
\(413\) | −22.6031 | + | 11.8548i | −1.11222 | + | 0.583334i | ||||
\(414\) | 23.3901 | − | 35.9828i | 1.14956 | − | 1.76846i | ||||
\(415\) | −0.850582 | − | 3.72664i | −0.0417534 | − | 0.182934i | ||||
\(416\) | −10.6513 | + | 1.60542i | −0.522221 | + | 0.0787122i | ||||
\(417\) | 2.95669 | + | 2.89235i | 0.144790 | + | 0.141639i | ||||
\(418\) | −9.53493 | − | 10.2762i | −0.466369 | − | 0.502626i | ||||
\(419\) | −17.8432 | + | 16.5561i | −0.871697 | + | 0.808817i | −0.982739 | − | 0.184999i | \(-0.940772\pi\) |
0.111041 | + | 0.993816i | \(0.464581\pi\) | |||||||
\(420\) | 1.79128 | + | 1.01557i | 0.0874057 | + | 0.0495546i | ||||
\(421\) | −21.7179 | − | 20.1513i | −1.05847 | − | 0.982112i | −0.0585962 | − | 0.998282i | \(-0.518662\pi\) |
−0.999869 | + | 0.0161694i | \(0.994853\pi\) | |||||||
\(422\) | 6.65610i | 0.324014i | ||||||||
\(423\) | −13.9022 | + | 3.49653i | −0.675948 | + | 0.170007i | ||||
\(424\) | 0.659865 | − | 2.89106i | 0.0320459 | − | 0.140402i | ||||
\(425\) | 0.392720 | − | 5.24048i | 0.0190497 | − | 0.254201i | ||||
\(426\) | −18.5584 | − | 4.75455i | −0.899157 | − | 0.230359i | ||||
\(427\) | −2.69318 | − | 7.77547i | −0.130332 | − | 0.376282i | ||||
\(428\) | −0.775232 | + | 5.14333i | −0.0374723 | + | 0.248612i | ||||
\(429\) | −8.85499 | + | 12.2785i | −0.427523 | + | 0.592811i | ||||
\(430\) | 1.44909 | − | 0.568727i | 0.0698814 | − | 0.0274264i | ||||
\(431\) | −14.6908 | − | 30.5057i | −0.707630 | − | 1.46941i | −0.875307 | − | 0.483567i | \(-0.839341\pi\) |
0.167677 | − | 0.985842i | \(-0.446373\pi\) | |||||||
\(432\) | −12.6545 | − | 22.1428i | −0.608841 | − | 1.06534i | ||||
\(433\) | −0.0617456 | + | 0.128216i | −0.00296731 | + | 0.00616167i | −0.902447 | − | 0.430800i | \(-0.858231\pi\) |
0.899480 | + | 0.436962i | \(0.143946\pi\) | |||||||
\(434\) | 9.51057 | + | 21.9880i | 0.456522 | + | 1.05546i | ||||
\(435\) | −0.0678240 | − | 1.40024i | −0.00325191 | − | 0.0671365i | ||||
\(436\) | 0.565476 | + | 7.54576i | 0.0270814 | + | 0.361376i | ||||
\(437\) | −17.7679 | + | 16.4862i | −0.849956 | + | 0.788644i | ||||
\(438\) | −2.51698 | + | 0.504977i | −0.120266 | + | 0.0241287i | ||||
\(439\) | −13.6869 | + | 5.37173i | −0.653242 | + | 0.256379i | −0.668734 | − | 0.743501i | \(-0.733164\pi\) |
0.0154925 | + | 0.999880i | \(0.495068\pi\) | |||||||
\(440\) | −4.23207 | −0.201756 | ||||||||
\(441\) | 18.7752 | − | 9.40695i | 0.894059 | − | 0.447950i | ||||
\(442\) | 5.36345 | 0.255113 | ||||||||
\(443\) | −15.7663 | + | 6.18782i | −0.749080 | + | 0.293992i | −0.709004 | − | 0.705204i | \(-0.750855\pi\) |
−0.0400759 | + | 0.999197i | \(0.512760\pi\) | |||||||
\(444\) | 4.12115 | − | 12.2066i | 0.195581 | − | 0.579302i | ||||
\(445\) | −3.63150 | + | 3.36954i | −0.172149 | + | 0.159731i | ||||
\(446\) | 1.54569 | + | 20.6258i | 0.0731904 | + | 0.976658i | ||||
\(447\) | −26.2249 | + | 16.8834i | −1.24040 | + | 0.798557i | ||||
\(448\) | −9.38342 | + | 1.74471i | −0.443325 | + | 0.0824299i | ||||
\(449\) | −1.77406 | + | 3.68387i | −0.0837230 | + | 0.173853i | −0.938627 | − | 0.344933i | \(-0.887902\pi\) |
0.854904 | + | 0.518786i | \(0.173616\pi\) | |||||||
\(450\) | 8.71215 | + | 20.8383i | 0.410695 | + | 0.982326i | ||||
\(451\) | 5.08067 | + | 10.5501i | 0.239239 | + | 0.496786i | ||||
\(452\) | 11.0027 | − | 4.31825i | 0.517525 | − | 0.203113i | ||||
\(453\) | 6.81684 | + | 15.1670i | 0.320283 | + | 0.712607i | ||||
\(454\) | 4.50378 | − | 29.8806i | 0.211373 | − | 1.40237i | ||||
\(455\) | −2.59842 | + | 4.10647i | −0.121816 | + | 0.192514i | ||||
\(456\) | 2.77859 | + | 9.93155i | 0.130119 | + | 0.465088i | ||||
\(457\) | −1.16005 | + | 15.4798i | −0.0542649 | + | 0.724115i | 0.902023 | + | 0.431688i | \(0.142082\pi\) |
−0.956288 | + | 0.292427i | \(0.905537\pi\) | |||||||
\(458\) | 7.84760 | − | 34.3826i | 0.366694 | − | 1.60659i | ||||
\(459\) | 2.15171 | + | 5.55423i | 0.100433 | + | 0.259249i | ||||
\(460\) | − | 3.91421i | − | 0.182501i | ||||||
\(461\) | −7.82527 | − | 7.26079i | −0.364459 | − | 0.338169i | 0.476592 | − | 0.879125i | \(-0.341872\pi\) |
−0.841051 | + | 0.540956i | \(0.818062\pi\) | |||||||
\(462\) | 12.8556 | − | 19.1769i | 0.598098 | − | 0.892190i | ||||
\(463\) | 9.24393 | − | 8.57712i | 0.429602 | − | 0.398612i | −0.435516 | − | 0.900181i | \(-0.643434\pi\) |
0.865118 | + | 0.501569i | \(0.167244\pi\) | |||||||
\(464\) | −4.19128 | − | 4.51713i | −0.194575 | − | 0.209702i | ||||
\(465\) | 1.52794 | − | 5.96401i | 0.0708567 | − | 0.276575i | ||||
\(466\) | 17.9877 | − | 2.71121i | 0.833263 | − | 0.125594i | ||||
\(467\) | 3.30402 | + | 14.4759i | 0.152892 | + | 0.669863i | 0.992036 | + | 0.125954i | \(0.0401992\pi\) |
−0.839144 | + | 0.543909i | \(0.816944\pi\) | |||||||
\(468\) | −5.30921 | + | 2.70223i | −0.245418 | + | 0.124911i | ||||
\(469\) | −12.9862 | + | 0.444775i | −0.599647 | + | 0.0205378i | ||||
\(470\) | −3.44101 | + | 3.70853i | −0.158722 | + | 0.171062i | ||||
\(471\) | −35.8922 | + | 4.44440i | −1.65382 | + | 0.204787i | ||||
\(472\) | 17.8773 | − | 10.3215i | 0.822870 | − | 0.475084i | ||||
\(473\) | −1.32955 | − | 4.31028i | −0.0611326 | − | 0.198187i | ||||
\(474\) | 31.7460 | − | 20.4378i | 1.45814 | − | 0.938739i | ||||
\(475\) | −1.90119 | − | 12.6136i | −0.0872327 | − | 0.578751i | ||||
\(476\) | −2.11267 | + | 0.0723587i | −0.0968342 | + | 0.00331656i | ||||
\(477\) | −0.401802 | − | 4.13792i | −0.0183973 | − | 0.189462i | ||||
\(478\) | −5.01587 | + | 21.9760i | −0.229421 | + | 1.00516i | ||||
\(479\) | −8.03422 | − | 20.4709i | −0.367093 | − | 0.935337i | −0.988414 | − | 0.151781i | \(-0.951499\pi\) |
0.621321 | − | 0.783556i | \(-0.286596\pi\) | |||||||
\(480\) | −3.75394 | − | 1.93149i | −0.171343 | − | 0.0881601i | ||||
\(481\) | 28.3030 | + | 11.1081i | 1.29051 | + | 0.506486i | ||||
\(482\) | −2.53851 | − | 33.8740i | −0.115626 | − | 1.54292i | ||||
\(483\) | −33.1576 | − | 22.2279i | −1.50872 | − | 1.01140i | ||||
\(484\) | −0.0827561 | + | 1.10430i | −0.00376164 | + | 0.0501956i | ||||
\(485\) | −3.59535 | + | 7.46583i | −0.163257 | + | 0.339006i | ||||
\(486\) | −19.0698 | − | 17.0796i | −0.865023 | − | 0.774748i | ||||
\(487\) | 19.2653 | + | 9.27770i | 0.872996 | + | 0.420413i | 0.816062 | − | 0.577965i | \(-0.196153\pi\) |
0.0569347 | + | 0.998378i | \(0.481867\pi\) | |||||||
\(488\) | 2.43145 | + | 6.19523i | 0.110066 | + | 0.280445i | ||||
\(489\) | 28.0611 | + | 11.8773i | 1.26897 | + | 0.537109i | ||||
\(490\) | 3.74609 | − | 6.39465i | 0.169231 | − | 0.288881i | ||||
\(491\) | 0.995052 | − | 0.574494i | 0.0449061 | − | 0.0259265i | −0.477379 | − | 0.878698i | \(-0.658413\pi\) |
0.522285 | + | 0.852771i | \(0.325080\pi\) | |||||||
\(492\) | −0.121640 | + | 4.60645i | −0.00548396 | + | 0.207675i | ||||
\(493\) | 0.810714 | + | 1.18910i | 0.0365127 | + | 0.0535543i | ||||
\(494\) | 12.6925 | − | 2.89698i | 0.571062 | − | 0.130341i | ||||
\(495\) | −5.62976 | + | 1.87313i | −0.253039 | + | 0.0841911i | ||||
\(496\) | −11.7417 | − | 24.3819i | −0.527219 | − | 1.09478i | ||||
\(497\) | −4.66642 | + | 17.1975i | −0.209318 | + | 0.771415i | ||||
\(498\) | −15.9794 | − | 5.39491i | −0.716056 | − | 0.241752i | ||||
\(499\) | −5.83924 | + | 14.8782i | −0.261400 | + | 0.666038i | −0.999967 | − | 0.00814324i | \(-0.997408\pi\) |
0.738566 | + | 0.674181i | \(0.235503\pi\) | |||||||
\(500\) | 3.55834 | + | 2.42603i | 0.159134 | + | 0.108495i | ||||
\(501\) | −19.7571 | − | 12.1131i | −0.882681 | − | 0.541175i | ||||
\(502\) | 6.27446 | − | 6.76226i | 0.280043 | − | 0.301815i | ||||
\(503\) | 23.3181 | − | 29.2400i | 1.03970 | − | 1.30375i | 0.0882016 | − | 0.996103i | \(-0.471888\pi\) |
0.951502 | − | 0.307644i | \(-0.0995406\pi\) | |||||||
\(504\) | −14.8642 | + | 8.21779i | −0.662105 | + | 0.366050i | ||||
\(505\) | −6.11688 | − | 7.67033i | −0.272198 | − | 0.341325i | ||||
\(506\) | −43.7636 | − | 3.27963i | −1.94553 | − | 0.145797i | ||||
\(507\) | 3.46718 | + | 7.71422i | 0.153983 | + | 0.342601i | ||||
\(508\) | −2.43843 | − | 4.22349i | −0.108188 | − | 0.187387i | ||||
\(509\) | −10.7031 | − | 18.5383i | −0.474405 | − | 0.821694i | 0.525165 | − | 0.851000i | \(-0.324003\pi\) |
−0.999570 | + | 0.0293065i | \(0.990670\pi\) | |||||||
\(510\) | 1.70497 | + | 1.22959i | 0.0754973 | + | 0.0544470i | ||||
\(511\) | 0.436495 | + | 2.34756i | 0.0193094 | + | 0.103850i | ||||
\(512\) | 2.38751 | − | 0.544934i | 0.105514 | − | 0.0240829i | ||||
\(513\) | 8.09200 | + | 11.9817i | 0.357271 | + | 0.529007i | ||||
\(514\) | −18.3067 | + | 14.5991i | −0.807476 | + | 0.643941i | ||||
\(515\) | 1.34761 | + | 8.94079i | 0.0593827 | + | 0.393978i | ||||
\(516\) | 0.310799 | − | 1.74763i | 0.0136822 | − | 0.0769353i | ||||
\(517\) | 9.97063 | + | 10.7458i | 0.438508 | + | 0.472599i | ||||
\(518\) | −43.7188 | − | 15.4533i | −1.92089 | − | 0.678977i | ||||
\(519\) | −0.319083 | − | 0.709938i | −0.0140062 | − | 0.0311628i | ||||
\(520\) | 1.96516 | − | 3.40377i | 0.0861782 | − | 0.149265i | ||||
\(521\) | −25.8835 | −1.13398 | −0.566988 | − | 0.823726i | \(-0.691892\pi\) | ||||
−0.566988 | + | 0.823726i | \(0.691892\pi\) | |||||||
\(522\) | −5.42345 | − | 2.97412i | −0.237378 | − | 0.130174i | ||||
\(523\) | 3.92027 | + | 8.14053i | 0.171422 | + | 0.355961i | 0.968925 | − | 0.247353i | \(-0.0795609\pi\) |
−0.797504 | + | 0.603314i | \(0.793847\pi\) | |||||||
\(524\) | 12.1173 | − | 1.82640i | 0.529348 | − | 0.0797864i | ||||
\(525\) | 19.4953 | − | 7.82820i | 0.850846 | − | 0.341651i | ||||
\(526\) | 47.1481 | + | 7.10643i | 2.05575 | + | 0.309855i | ||||
\(527\) | 1.86296 | + | 6.03958i | 0.0811519 | + | 0.263088i | ||||
\(528\) | −13.6316 | + | 22.2337i | −0.593237 | + | 0.967597i | ||||
\(529\) | −3.95181 | + | 52.7332i | −0.171818 | + | 2.29275i | ||||
\(530\) | −0.914774 | − | 1.14709i | −0.0397353 | − | 0.0498264i | ||||
\(531\) | 19.2132 | − | 21.6428i | 0.833781 | − | 0.939219i | ||||
\(532\) | −4.96051 | + | 1.31236i | −0.215065 | + | 0.0568980i | ||||
\(533\) | −10.8445 | − | 0.812679i | −0.469725 | − | 0.0352011i | ||||
\(534\) | 4.29960 | + | 21.4307i | 0.186062 | + | 0.927399i | ||||
\(535\) | −3.27232 | − | 3.52672i | −0.141475 | − | 0.152473i | ||||
\(536\) | 10.4799 | − | 0.785360i | 0.452662 | − | 0.0339224i | ||||
\(537\) | 6.11374 | + | 11.2660i | 0.263827 | + | 0.486165i | ||||
\(538\) | 4.26417 | + | 2.46192i | 0.183842 | + | 0.106141i | ||||
\(539\) | −17.6661 | − | 12.2090i | −0.760931 | − | 0.525877i | ||||
\(540\) | −2.30722 | − | 0.358149i | −0.0992869 | − | 0.0154123i | ||||
\(541\) | −5.60954 | + | 7.03414i | −0.241173 | + | 0.302421i | −0.887656 | − | 0.460507i | \(-0.847668\pi\) |
0.646483 | + | 0.762928i | \(0.276239\pi\) | |||||||
\(542\) | 22.4129 | − | 15.2808i | 0.962715 | − | 0.656368i | ||||
\(543\) | 9.98084 | + | 1.77499i | 0.428319 | + | 0.0761722i | ||||
\(544\) | 4.32186 | − | 0.323879i | 0.185298 | − | 0.0138862i | ||||
\(545\) | −5.78280 | − | 3.94265i | −0.247708 | − | 0.168884i | ||||
\(546\) | 9.45406 | + | 19.2443i | 0.404596 | + | 0.823581i | ||||
\(547\) | 19.1352 | − | 13.0462i | 0.818163 | − | 0.557814i | −0.0803473 | − | 0.996767i | \(-0.525603\pi\) |
0.898510 | + | 0.438953i | \(0.144651\pi\) | |||||||
\(548\) | −2.96712 | + | 2.36620i | −0.126749 | + | 0.101079i | ||||
\(549\) | 5.97650 | + | 7.16510i | 0.255071 | + | 0.305799i | ||||
\(550\) | 14.4003 | − | 18.0575i | 0.614033 | − | 0.769973i | ||||
\(551\) | 2.56081 | + | 2.37608i | 0.109094 | + | 0.101224i | ||||
\(552\) | 27.5245 | + | 16.8754i | 1.17152 | + | 0.718264i | ||||
\(553\) | −18.5899 | − | 29.7945i | −0.790523 | − | 1.26699i | ||||
\(554\) | −16.8452 | − | 6.61124i | −0.715683 | − | 0.280885i | ||||
\(555\) | 6.45057 | + | 10.0197i | 0.273812 | + | 0.425311i | ||||
\(556\) | 1.13210 | − | 1.22012i | 0.0480119 | − | 0.0517445i | ||||
\(557\) | 38.9043i | 1.64843i | 0.566279 | + | 0.824214i | \(0.308382\pi\) | ||||
−0.566279 | + | 0.824214i | \(0.691618\pi\) | |||||||
\(558\) | −18.9100 | − | 19.5016i | −0.800523 | − | 0.825568i | ||||
\(559\) | 4.08404 | + | 0.932156i | 0.172737 | + | 0.0394260i | ||||
\(560\) | −3.93525 | + | 7.38917i | −0.166295 | + | 0.312250i | ||||
\(561\) | 3.92206 | − | 4.66023i | 0.165590 | − | 0.196755i | ||||
\(562\) | −8.19210 | + | 7.60116i | −0.345563 | + | 0.320636i | ||||
\(563\) | 7.29710 | − | 18.5927i | 0.307536 | − | 0.783589i | −0.690639 | − | 0.723200i | \(-0.742671\pi\) |
0.998175 | − | 0.0603892i | \(-0.0192342\pi\) | |||||||
\(564\) | 1.55423 | + | 5.55532i | 0.0654450 | + | 0.233921i | ||||
\(565\) | −3.22244 | + | 10.4469i | −0.135569 | + | 0.439504i | ||||
\(566\) | 11.1756 | + | 48.9633i | 0.469743 | + | 2.05808i | ||||
\(567\) | −16.1361 | + | 17.5108i | −0.677651 | + | 0.735384i | ||||
\(568\) | 3.20701 | − | 14.0508i | 0.134563 | − | 0.589559i | ||||
\(569\) | −17.9286 | − | 10.3511i | −0.751607 | − | 0.433941i | 0.0746672 | − | 0.997209i | \(-0.476211\pi\) |
−0.826274 | + | 0.563268i | \(0.809544\pi\) | |||||||
\(570\) | 4.69891 | + | 1.98888i | 0.196816 | + | 0.0833050i | ||||
\(571\) | 17.5528 | − | 5.41431i | 0.734561 | − | 0.226582i | 0.0951669 | − | 0.995461i | \(-0.469662\pi\) |
0.639394 | + | 0.768879i | \(0.279185\pi\) | |||||||
\(572\) | 5.03336 | + | 3.43168i | 0.210455 | + | 0.143486i | ||||
\(573\) | 10.6918 | − | 41.7332i | 0.446657 | − | 1.74343i | ||||
\(574\) | 16.5713 | + | 0.672558i | 0.691674 | + | 0.0280720i | ||||
\(575\) | −31.2220 | − | 24.8987i | −1.30205 | − | 1.03835i | ||||
\(576\) | 9.25097 | − | 5.61594i | 0.385457 | − | 0.233997i | ||||
\(577\) | 0.228360 | + | 0.182111i | 0.00950674 | + | 0.00758137i | 0.628232 | − | 0.778026i | \(-0.283779\pi\) |
−0.618725 | + | 0.785608i | \(0.712350\pi\) | |||||||
\(578\) | 25.6883 | + | 1.92507i | 1.06849 | + | 0.0800724i | ||||
\(579\) | 1.17575 | − | 1.20190i | 0.0488624 | − | 0.0499493i | ||||
\(580\) | −0.562558 | + | 0.0421579i | −0.0233590 | + | 0.00175051i | ||||
\(581\) | −5.22801 | + | 14.7905i | −0.216894 | + | 0.613615i | ||||
\(582\) | 19.7912 | + | 30.7416i | 0.820372 | + | 1.27428i | ||||
\(583\) | −3.51258 | + | 2.39484i | −0.145476 | + | 0.0991841i | ||||
\(584\) | −0.429739 | − | 1.88281i | −0.0177827 | − | 0.0779112i | ||||
\(585\) | 1.10766 | − | 5.39769i | 0.0457961 | − | 0.223167i | ||||
\(586\) | 1.91036 | + | 1.52346i | 0.0789160 | + | 0.0629334i | ||||
\(587\) | −10.9257 | + | 18.9238i | −0.450951 | + | 0.781070i | −0.998445 | − | 0.0557393i | \(-0.982248\pi\) |
0.547494 | + | 0.836809i | \(0.315582\pi\) | |||||||
\(588\) | −3.98359 | − | 7.45282i | −0.164281 | − | 0.307349i | ||||
\(589\) | 7.67083 | + | 13.2863i | 0.316071 | + | 0.547451i | ||||
\(590\) | 1.52223 | − | 10.0994i | 0.0626694 | − | 0.415784i | ||||
\(591\) | 12.8684 | − | 11.3229i | 0.529336 | − | 0.465762i | ||||
\(592\) | 50.0528 | + | 15.4392i | 2.05716 | + | 0.634549i | ||||
\(593\) | 30.3591 | + | 14.6202i | 1.24670 | + | 0.600379i | 0.936625 | − | 0.350334i | \(-0.113932\pi\) |
0.310074 | + | 0.950712i | \(0.399646\pi\) | |||||||
\(594\) | −5.93753 | + | 25.4962i | −0.243620 | + | 1.04612i | ||||
\(595\) | 1.16603 | − | 1.56950i | 0.0478027 | − | 0.0643433i | ||||
\(596\) | 7.07029 | + | 10.3702i | 0.289610 | + | 0.424780i | ||||
\(597\) | −42.5519 | + | 11.9049i | −1.74153 | + | 0.487235i | ||||
\(598\) | 22.9594 | − | 33.6752i | 0.938879 | − | 1.37708i | ||||
\(599\) | −5.35750 | + | 35.5447i | −0.218901 | + | 1.45232i | 0.561728 | + | 0.827322i | \(0.310137\pi\) |
−0.780630 | + | 0.624994i | \(0.785101\pi\) | |||||||
\(600\) | −15.4979 | + | 6.96558i | −0.632700 | + | 0.284369i | ||||
\(601\) | −1.17533 | + | 0.461283i | −0.0479427 | + | 0.0188161i | −0.389191 | − | 0.921157i | \(-0.627245\pi\) |
0.341249 | + | 0.939973i | \(0.389150\pi\) | |||||||
\(602\) | −6.27348 | − | 1.20758i | −0.255688 | − | 0.0492171i | ||||
\(603\) | 13.5934 | − | 5.68318i | 0.553566 | − | 0.231437i | ||||
\(604\) | 6.02884 | − | 2.90334i | 0.245310 | − | 0.118135i | ||||
\(605\) | −0.750850 | − | 0.696687i | −0.0305264 | − | 0.0283243i | ||||
\(606\) | −42.9588 | + | 5.31943i | −1.74508 | + | 0.216087i | ||||
\(607\) | −16.6121 | + | 9.59099i | −0.674263 | + | 0.389286i | −0.797690 | − | 0.603068i | \(-0.793945\pi\) |
0.123427 | + | 0.992354i | \(0.460612\pi\) | |||||||
\(608\) | 10.0526 | − | 3.10083i | 0.407689 | − | 0.125755i | ||||
\(609\) | −2.83751 | + | 5.00488i | −0.114982 | + | 0.202808i | ||||
\(610\) | 3.14652 | + | 0.970574i | 0.127399 | + | 0.0392974i | ||||
\(611\) | −13.2725 | + | 3.02936i | −0.536947 | + | 0.122555i | ||||
\(612\) | 2.21145 | − | 0.924574i | 0.0893927 | − | 0.0373737i | ||||
\(613\) | −23.6281 | − | 29.6287i | −0.954332 | − | 1.19669i | −0.980397 | − | 0.197034i | \(-0.936869\pi\) |
0.0260652 | − | 0.999660i | \(-0.491702\pi\) | |||||||
\(614\) | −36.3582 | − | 11.2150i | −1.46730 | − | 0.452602i | ||||
\(615\) | −3.26100 | − | 2.74446i | −0.131496 | − | 0.110667i | ||||
\(616\) | 14.6768 | + | 9.28695i | 0.591346 | + | 0.374182i | ||||
\(617\) | −0.201273 | − | 0.652509i | −0.00810293 | − | 0.0262690i | 0.951431 | − | 0.307862i | \(-0.0996135\pi\) |
−0.959534 | + | 0.281593i | \(0.909137\pi\) | |||||||
\(618\) | 36.7387 | + | 15.5502i | 1.47785 | + | 0.625521i | ||||
\(619\) | −32.7010 | − | 18.8799i | −1.31436 | − | 0.758848i | −0.331548 | − | 0.943438i | \(-0.607571\pi\) |
−0.982816 | + | 0.184590i | \(0.940904\pi\) | |||||||
\(620\) | −2.41539 | − | 0.551296i | −0.0970042 | − | 0.0221406i | ||||
\(621\) | 44.0839 | + | 10.2662i | 1.76903 | + | 0.411969i | ||||
\(622\) | 3.54336 | − | 2.82574i | 0.142076 | − | 0.113302i | ||||
\(623\) | 19.9882 | − | 3.71652i | 0.800811 | − | 0.148899i | ||||
\(624\) | −11.5523 | − | 21.2878i | −0.462460 | − | 0.852194i | ||||
\(625\) | 18.0971 | − | 5.58223i | 0.723885 | − | 0.223289i | ||||
\(626\) | −42.8621 | − | 6.46042i | −1.71311 | − | 0.258210i | ||||
\(627\) | 6.76433 | − | 13.1468i | 0.270141 | − | 0.525031i | ||||
\(628\) | 2.16913 | + | 14.3912i | 0.0865575 | + | 0.574272i | ||||
\(629\) | −11.0220 | − | 5.30790i | −0.439475 | − | 0.211640i | ||||
\(630\) | −1.40650 | + | 8.28488i | −0.0560363 | + | 0.330078i | ||||
\(631\) | 28.9070 | − | 13.9209i | 1.15077 | − | 0.554181i | 0.241504 | − | 0.970400i | \(-0.422359\pi\) |
0.909265 | + | 0.416219i | \(0.136645\pi\) | |||||||
\(632\) | 16.0002 | + | 23.4680i | 0.636453 | + | 0.933506i | ||||
\(633\) | −6.60020 | + | 2.39132i | −0.262335 | + | 0.0950464i | ||||
\(634\) | 2.90256 | + | 38.7320i | 0.115276 | + | 1.53824i | ||||
\(635\) | 4.46043 | + | 0.672302i | 0.177007 | + | 0.0266795i | ||||
\(636\) | −1.66030 | + | 0.205589i | −0.0658352 | + | 0.00815214i | ||||
\(637\) | 18.0226 | − | 8.53920i | 0.714083 | − | 0.338336i | ||||
\(638\) | 6.32512i | 0.250414i | ||||||||
\(639\) | −1.95280 | − | 20.1107i | −0.0772515 | − | 0.795567i | ||||
\(640\) | 3.77221 | − | 7.83307i | 0.149110 | − | 0.309629i | ||||
\(641\) | −3.55031 | + | 11.5098i | −0.140229 | + | 0.454610i | −0.998259 | − | 0.0589895i | \(-0.981212\pi\) |
0.858030 | + | 0.513600i | \(0.171688\pi\) | |||||||
\(642\) | −20.8124 | + | 4.17555i | −0.821400 | + | 0.164796i | ||||
\(643\) | −3.19635 | + | 4.68819i | −0.126052 | + | 0.184884i | −0.884077 | − | 0.467341i | \(-0.845212\pi\) |
0.758025 | + | 0.652225i | \(0.226164\pi\) | |||||||
\(644\) | −8.58942 | + | 13.5745i | −0.338471 | + | 0.534909i | ||||
\(645\) | 1.08456 | + | 1.23260i | 0.0427046 | + | 0.0485335i | ||||
\(646\) | −5.17969 | + | 0.780713i | −0.203792 | + | 0.0307167i | ||||
\(647\) | 36.6568 | − | 17.6530i | 1.44113 | − | 0.694010i | 0.460098 | − | 0.887868i | \(-0.347814\pi\) |
0.981030 | + | 0.193858i | \(0.0621000\pi\) | |||||||
\(648\) | 12.4656 | − | 14.6802i | 0.489697 | − | 0.576691i | ||||
\(649\) | −28.8523 | − | 6.58536i | −1.13255 | − | 0.258498i | ||||
\(650\) | 7.83643 | + | 19.9669i | 0.307370 | + | 0.783166i | ||||
\(651\) | −18.3865 | + | 17.3302i | −0.720623 | + | 0.679226i | ||||
\(652\) | 4.47981 | − | 11.4144i | 0.175443 | − | 0.447021i | ||||
\(653\) | 16.4822 | − | 24.1750i | 0.644999 | − | 0.946040i | −0.354939 | − | 0.934890i | \(-0.615498\pi\) |
0.999938 | − | 0.0111505i | \(-0.00354937\pi\) | |||||||
\(654\) | −28.1666 | + | 12.6596i | −1.10140 | + | 0.495028i | ||||
\(655\) | −5.66721 | + | 9.81589i | −0.221436 | + | 0.383539i | ||||
\(656\) | −18.7347 | −0.731467 | ||||||||
\(657\) | −1.40500 | − | 2.31442i | −0.0548144 | − | 0.0902942i | ||||
\(658\) | 20.0715 | − | 5.31015i | 0.782469 | − | 0.207011i | ||||
\(659\) | 3.14692 | − | 10.2021i | 0.122587 | − | 0.397417i | −0.873391 | − | 0.487020i | \(-0.838084\pi\) |
0.995978 | + | 0.0896036i | \(0.0285600\pi\) | |||||||
\(660\) | 0.813312 | + | 2.24480i | 0.0316581 | + | 0.0873786i | ||||
\(661\) | 20.3227 | + | 7.97608i | 0.790462 | + | 0.310233i | 0.726007 | − | 0.687687i | \(-0.241374\pi\) |
0.0644548 | + | 0.997921i | \(0.479469\pi\) | |||||||
\(662\) | 13.2410 | + | 5.19672i | 0.514627 | + | 0.201976i | ||||
\(663\) | 1.92691 | + | 5.31841i | 0.0748351 | + | 0.206550i | ||||
\(664\) | 3.73979 | − | 12.1241i | 0.145132 | − | 0.470506i | ||||
\(665\) | 1.91165 | − | 4.34400i | 0.0741306 | − | 0.168453i | ||||
\(666\) | 52.5654 | − | 1.15658i | 2.03687 | − | 0.0448166i | ||||
\(667\) | 10.9364 | 0.423458 | ||||||||
\(668\) | −4.66291 | + | 8.07639i | −0.180413 | + | 0.312485i | ||||
\(669\) | −19.8972 | + | 8.94286i | −0.769271 | + | 0.345751i | ||||
\(670\) | 2.92906 | − | 4.29615i | 0.113160 | − | 0.165975i | ||||
\(671\) | 3.48580 | − | 8.88166i | 0.134568 | − | 0.342873i | ||||
\(672\) | 8.78015 | + | 14.9361i | 0.338702 | + | 0.576174i | ||||
\(673\) | 13.4132 | + | 34.1764i | 0.517042 | + | 1.31740i | 0.916274 | + | 0.400552i | \(0.131182\pi\) |
−0.399232 | + | 0.916850i | \(0.630723\pi\) | |||||||
\(674\) | 2.53444 | + | 0.578469i | 0.0976229 | + | 0.0222818i | ||||
\(675\) | −17.5333 | + | 16.1255i | −0.674857 | + | 0.620671i | ||||
\(676\) | 3.06639 | − | 1.47669i | 0.117938 | − | 0.0567959i | ||||
\(677\) | 33.6607 | − | 5.07354i | 1.29369 | − | 0.194992i | 0.534113 | − | 0.845413i | \(-0.320646\pi\) |
0.759574 | + | 0.650421i | \(0.225408\pi\) | |||||||
\(678\) | 31.8645 | + | 36.2138i | 1.22375 | + | 1.39078i | ||||
\(679\) | 28.8519 | − | 18.0018i | 1.10723 | − | 0.690845i | ||||
\(680\) | −0.890824 | + | 1.30660i | −0.0341615 | + | 0.0501058i | ||||
\(681\) | 31.2477 | − | 6.26917i | 1.19742 | − | 0.240235i | ||||
\(682\) | −8.18768 | + | 26.5438i | −0.313522 | + | 1.01641i | ||||
\(683\) | 0.751972 | − | 1.56149i | 0.0287734 | − | 0.0597486i | −0.886087 | − | 0.463519i | \(-0.846586\pi\) |
0.914860 | + | 0.403771i | \(0.132301\pi\) | |||||||
\(684\) | 4.73396 | − | 3.38246i | 0.181008 | − | 0.129332i | ||||
\(685\) | − | 3.51023i | − | 0.134119i | ||||||
\(686\) | −27.0240 | + | 13.9561i | −1.03178 | + | 0.532847i | ||||
\(687\) | 36.9132 | − | 4.57083i | 1.40833 | − | 0.174388i | ||||
\(688\) | 7.13613 | + | 1.07560i | 0.272062 | + | 0.0410068i | ||||
\(689\) | −0.295048 | − | 3.93714i | −0.0112404 | − | 0.149993i | ||||
\(690\) | 15.0186 | − | 5.44139i | 0.571749 | − | 0.207150i | ||||
\(691\) | 18.7025 | + | 27.4316i | 0.711478 | + | 1.04355i | 0.996382 | + | 0.0849909i | \(0.0270861\pi\) |
−0.284903 | + | 0.958556i | \(0.591961\pi\) | |||||||
\(692\) | −0.282199 | + | 0.135900i | −0.0107276 | + | 0.00516613i | ||||
\(693\) | 23.6345 | + | 5.85804i | 0.897799 | + | 0.222529i | ||||
\(694\) | 6.59140 | + | 3.17425i | 0.250206 | + | 0.120493i | ||||
\(695\) | 0.229451 | + | 1.52231i | 0.00870357 | + | 0.0577444i | ||||
\(696\) | 2.12891 | − | 4.13764i | 0.0806963 | − | 0.156837i | ||||
\(697\) | 4.32667 | + | 0.652140i | 0.163884 | + | 0.0247016i | ||||
\(698\) | −35.0961 | + | 10.8257i | −1.32841 | + | 0.409759i | ||||
\(699\) | 9.15082 | + | 16.8626i | 0.346116 | + | 0.637801i | ||||
\(700\) | −3.35616 | − | 7.75927i | −0.126851 | − | 0.293273i | ||||
\(701\) | −23.9075 | + | 19.0656i | −0.902974 | + | 0.720098i | −0.960510 | − | 0.278246i | \(-0.910247\pi\) |
0.0575359 | + | 0.998343i | \(0.481676\pi\) | |||||||
\(702\) | −17.7490 | − | 16.6146i | −0.669893 | − | 0.627079i | ||||
\(703\) | −28.9502 | − | 6.60769i | −1.09188 | − | 0.249214i | ||||
\(704\) | −9.58397 | − | 5.53331i | −0.361210 | − | 0.208544i | ||||
\(705\) | −4.91363 | − | 2.07976i | −0.185058 | − | 0.0783284i | ||||
\(706\) | −0.816109 | − | 2.64576i | −0.0307147 | − | 0.0995745i | ||||
\(707\) | 4.38142 | + | 40.0237i | 0.164780 | + | 1.50525i | ||||
\(708\) | −8.91040 | − | 7.49902i | −0.334873 | − | 0.281830i | ||||
\(709\) | 1.31030 | + | 0.404173i | 0.0492093 | + | 0.0151791i | 0.319262 | − | 0.947666i | \(-0.396565\pi\) |
−0.270053 | + | 0.962846i | \(0.587041\pi\) | |||||||
\(710\) | −4.44589 | − | 5.57497i | −0.166851 | − | 0.209225i | ||||
\(711\) | 31.6715 | + | 24.1368i | 1.18777 | + | 0.905200i | ||||
\(712\) | −16.0311 | + | 3.65899i | −0.600791 | + | 0.137127i | ||||
\(713\) | 45.8952 | + | 14.1568i | 1.71879 | + | 0.530176i | ||||
\(714\) | −3.21460 | − | 8.00563i | −0.120303 | − | 0.299603i | ||||
\(715\) | −5.38431 | + | 1.66084i | −0.201362 | + | 0.0621118i | ||||
\(716\) | 4.46706 | − | 2.57906i | 0.166942 | − | 0.0963840i | ||||
\(717\) | −23.5935 | + | 2.92149i | −0.881114 | + | 0.109105i | ||||
\(718\) | −28.0773 | − | 26.0519i | −1.04784 | − | 0.972250i | ||||
\(719\) | 1.24045 | − | 0.597369i | 0.0462610 | − | 0.0222781i | −0.410610 | − | 0.911811i | \(-0.634684\pi\) |
0.456871 | + | 0.889533i | \(0.348970\pi\) | |||||||
\(720\) | 1.20798 | − | 9.41549i | 0.0450189 | − | 0.350895i | ||||
\(721\) | 14.9464 | − | 33.9639i | 0.556632 | − | 1.26488i | ||||
\(722\) | 17.2100 | − | 6.75441i | 0.640488 | − | 0.251373i | ||||
\(723\) | 32.6776 | − | 14.6870i | 1.21529 | − | 0.546216i | ||||
\(724\) | 0.608008 | − | 4.03387i | 0.0225964 | − | 0.149917i | ||||
\(725\) | −3.24222 | + | 4.75547i | −0.120413 | + | 0.176614i | ||||
\(726\) | −4.35220 | + | 1.21763i | −0.161525 | + | 0.0451906i | ||||
\(727\) | 24.6232 | + | 36.1157i | 0.913226 | + | 1.33946i | 0.940488 | + | 0.339828i | \(0.110369\pi\) |
−0.0272620 | + | 0.999628i | \(0.508679\pi\) | |||||||
\(728\) | −14.2845 | + | 7.49186i | −0.529419 | + | 0.277667i | ||||
\(729\) | 10.0851 | − | 25.0458i | 0.373521 | − | 0.927622i | ||||
\(730\) | −0.860883 | − | 0.414579i | −0.0318627 | − | 0.0153443i | ||||
\(731\) | −1.61061 | − | 0.496806i | −0.0595704 | − | 0.0183750i | ||||
\(732\) | 2.81883 | − | 2.48029i | 0.104187 | − | 0.0916742i | ||||
\(733\) | 6.60262 | − | 43.8055i | 0.243873 | − | 1.61799i | −0.446668 | − | 0.894700i | \(-0.647389\pi\) |
0.690541 | − | 0.723293i | \(-0.257372\pi\) | |||||||
\(734\) | −11.1739 | − | 19.3537i | −0.412435 | − | 0.714358i | ||||
\(735\) | 7.68679 | + | 1.41725i | 0.283532 | + | 0.0522760i | ||||
\(736\) | 16.4671 | − | 28.5219i | 0.606986 | − | 1.05133i | ||||
\(737\) | −11.7794 | − | 9.39375i | −0.433900 | − | 0.346023i | ||||
\(738\) | −17.8438 | + | 5.93700i | −0.656841 | + | 0.218544i | ||||
\(739\) | 11.2783 | + | 49.4134i | 0.414878 | + | 1.81770i | 0.560249 | + | 0.828324i | \(0.310705\pi\) |
−0.145371 | + | 0.989377i | \(0.546438\pi\) | |||||||
\(740\) | 3.96211 | − | 2.70132i | 0.145650 | − | 0.0993024i | ||||
\(741\) | 7.43264 | + | 11.5451i | 0.273045 | + | 0.424120i | ||||
\(742\) | 0.655237 | + | 5.98551i | 0.0240545 | + | 0.219735i | ||||
\(743\) | −8.38087 | + | 0.628059i | −0.307464 | + | 0.0230413i | −0.227569 | − | 0.973762i | \(-0.573078\pi\) |
−0.0798953 | + | 0.996803i | \(0.525459\pi\) | |||||||
\(744\) | 14.2902 | − | 14.6081i | 0.523904 | − | 0.535558i | ||||
\(745\) | −11.5766 | − | 0.867543i | −0.424132 | − | 0.0317843i | ||||
\(746\) | −16.8257 | − | 13.4181i | −0.616033 | − | 0.491270i | ||||
\(747\) | −0.391284 | − | 17.7835i | −0.0143163 | − | 0.650663i | ||||
\(748\) | −1.91634 | − | 1.52823i | −0.0700684 | − | 0.0558777i | ||||
\(749\) | 3.60929 | + | 19.4115i | 0.131881 | + | 0.709281i | ||||
\(750\) | −4.36190 | + | 17.0258i | −0.159274 | + | 0.621693i | ||||
\(751\) | 4.80950 | + | 3.27906i | 0.175501 | + | 0.119655i | 0.647885 | − | 0.761739i | \(-0.275654\pi\) |
−0.472384 | + | 0.881393i | \(0.656606\pi\) | |||||||
\(752\) | −22.4113 | + | 6.91296i | −0.817255 | + | 0.252090i | ||||
\(753\) | 8.95968 | + | 3.79231i | 0.326509 | + | 0.138200i | ||||
\(754\) | −5.08716 | − | 2.93707i | −0.185264 | − | 0.106962i | ||||
\(755\) | −1.37724 | + | 6.03407i | −0.0501228 | + | 0.219602i | ||||
\(756\) | 7.21550 | + | 6.30507i | 0.262425 | + | 0.229313i | ||||
\(757\) | −0.319428 | − | 1.39950i | −0.0116098 | − | 0.0508659i | 0.968791 | − | 0.247878i | \(-0.0797333\pi\) |
−0.980401 | + | 0.197012i | \(0.936876\pi\) | |||||||
\(758\) | 5.07355 | − | 16.4480i | 0.184280 | − | 0.597420i | ||||
\(759\) | −12.4707 | − | 44.5744i | −0.452659 | − | 1.61795i | ||||
\(760\) | −1.40238 | + | 3.57320i | −0.0508696 | + | 0.129614i | ||||
\(761\) | 15.7635 | − | 14.6264i | 0.571428 | − | 0.530208i | −0.340668 | − | 0.940184i | \(-0.610653\pi\) |
0.912096 | + | 0.409976i | \(0.134463\pi\) | |||||||
\(762\) | 12.8155 | − | 15.2275i | 0.464257 | − | 0.551635i | ||||
\(763\) | 11.4029 | + | 26.3630i | 0.412814 | + | 0.954405i | ||||
\(764\) | −16.9017 | − | 3.85770i | −0.611482 | − | 0.139567i | ||||
\(765\) | −0.606722 | + | 2.13240i | −0.0219361 | + | 0.0770971i | ||||
\(766\) | − | 33.7146i | − | 1.21816i | ||||||
\(767\) | 18.6941 | − | 20.1474i | 0.675003 | − | 0.727481i | ||||
\(768\) | −14.0003 | − | 21.7466i | −0.505192 | − | 0.784713i | ||||
\(769\) | −12.8813 | − | 5.05552i | −0.464510 | − | 0.182307i | 0.121532 | − | 0.992588i | \(-0.461219\pi\) |
−0.586042 | + | 0.810281i | \(0.699315\pi\) | |||||||
\(770\) | 8.11996 | − | 2.81249i | 0.292623 | − | 0.101355i | ||||
\(771\) | −21.0536 | − | 12.9080i | −0.758225 | − | 0.464871i | ||||
\(772\) | −0.495981 | − | 0.460203i | −0.0178507 | − | 0.0165631i | ||||
\(773\) | 23.7915 | − | 29.8336i | 0.855720 | − | 1.07304i | −0.140830 | − | 0.990034i | \(-0.544977\pi\) |
0.996549 | − | 0.0830046i | \(-0.0264516\pi\) | |||||||
\(774\) | 7.13765 | − | 1.23698i | 0.256558 | − | 0.0444622i | ||||
\(775\) | −19.7620 | + | 15.7597i | −0.709872 | + | 0.566104i | ||||
\(776\) | −22.7255 | + | 15.4940i | −0.815798 | + | 0.556202i | ||||
\(777\) | −0.383222 | − | 48.9035i | −0.0137480 | − | 1.75440i | ||||
\(778\) | −16.6635 | − | 11.3610i | −0.597416 | − | 0.407311i | ||||
\(779\) | 10.5912 | − | 0.793701i | 0.379469 | − | 0.0284373i | ||||
\(780\) | −2.18311 | − | 0.388244i | −0.0781677 | − | 0.0139013i | ||||
\(781\) | −17.0715 | + | 11.6391i | −0.610866 | + | 0.416482i | ||||
\(782\) | −10.2245 | + | 12.8211i | −0.365627 | + | 0.458482i | ||||
\(783\) | 1.00068 | − | 6.44641i | 0.0357612 | − | 0.230376i | ||||
\(784\) | 29.8624 | − | 16.9901i | 1.06651 | − | 0.606788i | ||||
\(785\) | −11.6579 | − | 6.73068i | −0.416088 | − | 0.240228i | ||||
\(786\) | 23.8529 | + | 43.9547i | 0.850805 | + | 1.56781i | ||||
\(787\) | 31.1070 | − | 2.33115i | 1.10885 | − | 0.0830965i | 0.492307 | − | 0.870421i | \(-0.336154\pi\) |
0.616538 | + | 0.787325i | \(0.288535\pi\) | |||||||
\(788\) | −4.69158 | − | 5.05632i | −0.167131 | − | 0.180124i | ||||
\(789\) | 9.89200 | + | 49.3053i | 0.352165 | + | 1.75531i | ||||
\(790\) | 14.0137 | + | 1.05019i | 0.498587 | + | 0.0373639i | ||||
\(791\) | 34.1003 | − | 29.1584i | 1.21247 | − | 1.03675i | ||||
\(792\) | −19.2918 | − | 3.95887i | −0.685503 | − | 0.140672i | ||||
\(793\) | 5.52470 | + | 6.92776i | 0.196188 | + | 0.246012i | ||||
\(794\) | −3.35191 | + | 44.7281i | −0.118955 | + | 1.58734i | ||||
\(795\) | 0.808809 | − | 1.31920i | 0.0286855 | − | 0.0467873i | ||||
\(796\) | 5.24102 | + | 16.9910i | 0.185763 | + | 0.602229i | ||||
\(797\) | 50.8981 | + | 7.67165i | 1.80290 | + | 0.271744i | 0.962708 | − | 0.270541i | \(-0.0872027\pi\) |
0.840194 | + | 0.542285i | \(0.182441\pi\) | |||||||
\(798\) | −11.9314 | − | 17.2088i | −0.422366 | − | 0.609186i | ||||
\(799\) | 5.41638 | − | 0.816388i | 0.191618 | − | 0.0288817i | ||||
\(800\) | 7.52030 | + | 15.6161i | 0.265883 | + | 0.552111i | ||||
\(801\) | −19.7061 | + | 11.9629i | −0.696280 | + | 0.422687i | ||||
\(802\) | 30.4747 | 1.07610 | ||||||||
\(803\) | −1.38433 | + | 2.39773i | −0.0488520 | + | 0.0846142i | ||||
\(804\) | −2.43058 | − | 5.40787i | −0.0857200 | − | 0.190721i | ||||
\(805\) | −4.86291 | − | 14.0397i | −0.171395 | − | 0.494834i | ||||
\(806\) | −17.5467 | − | 18.9108i | −0.618055 | − | 0.666105i | ||||
\(807\) | −0.909270 | + | 5.11285i | −0.0320078 | + | 0.179981i | ||||
\(808\) | −4.85345 | − | 32.2005i | −0.170744 | − | 1.13281i | ||||
\(809\) | −25.8854 | + | 20.6430i | −0.910084 | + | 0.725768i | −0.962048 | − | 0.272881i | \(-0.912023\pi\) |
0.0519640 | + | 0.998649i | \(0.483452\pi\) | |||||||
\(810\) | −1.83321 | − | 9.35057i | −0.0644125 | − | 0.328546i | ||||
\(811\) | 23.5650 | − | 5.37855i | 0.827478 | − | 0.188866i | 0.212249 | − | 0.977216i | \(-0.431921\pi\) |
0.615228 | + | 0.788349i | \(0.289064\pi\) | |||||||
\(812\) | 2.04347 | + | 1.08829i | 0.0717116 | + | 0.0381914i | ||||
\(813\) | 23.2047 | + | 16.7348i | 0.813825 | + | 0.586913i | ||||
\(814\) | −26.8829 | − | 46.5625i | −0.942245 | − | 1.63202i | ||||
\(815\) | 5.67081 | + | 9.82213i | 0.198640 | + | 0.344054i | ||||
\(816\) | 3.99501 | + | 8.88862i | 0.139853 | + | 0.311164i | ||||
\(817\) | −4.07980 | − | 0.305739i | −0.142734 | − | 0.0106965i | ||||
\(818\) | −9.95505 | − | 12.4832i | −0.348070 | − | 0.436466i | ||||
\(819\) | −15.6862 | + | 16.2885i | −0.548119 | + | 0.569167i | ||||
\(820\) | −1.06938 | + | 1.34096i | −0.0373444 | + | 0.0468284i | ||||
\(821\) | −8.16079 | + | 8.79524i | −0.284813 | + | 0.306956i | −0.859212 | − | 0.511620i | \(-0.829046\pi\) |
0.574398 | + | 0.818576i | \(0.305236\pi\) | |||||||
\(822\) | −13.2038 | − | 8.09528i | −0.460534 | − | 0.282355i | ||||
\(823\) | −2.87572 | − | 1.96063i | −0.100241 | − | 0.0683433i | 0.512162 | − | 0.858889i | \(-0.328845\pi\) |
−0.612403 | + | 0.790546i | \(0.709797\pi\) | |||||||
\(824\) | −10.9646 | + | 27.9373i | −0.381969 | + | 0.973242i | ||||
\(825\) | 23.0794 | + | 7.79196i | 0.803521 | + | 0.271281i | ||||
\(826\) | −27.4414 | + | 31.6842i | −0.954808 | + | 1.10243i | ||||
\(827\) | −3.58887 | − | 7.45236i | −0.124797 | − | 0.259144i | 0.829204 | − | 0.558945i | \(-0.188794\pi\) |
−0.954002 | + | 0.299801i | \(0.903080\pi\) | |||||||
\(828\) | 3.66152 | − | 17.8428i | 0.127247 | − | 0.620080i | ||||
\(829\) | −32.9052 | + | 7.51039i | −1.14284 | + | 0.260847i | −0.751714 | − | 0.659489i | \(-0.770773\pi\) |
−0.391129 | + | 0.920336i | \(0.627916\pi\) | |||||||
\(830\) | −3.53623 | − | 5.18670i | −0.122744 | − | 0.180033i | ||||
\(831\) | 0.503807 | − | 19.0789i | 0.0174769 | − | 0.661840i | ||||
\(832\) | 8.90065 | − | 5.13879i | 0.308574 | − | 0.178155i | ||||
\(833\) | −7.48795 | + | 2.88427i | −0.259442 | + | 0.0999339i | ||||
\(834\) | 6.25534 | + | 2.64766i | 0.216605 | + | 0.0916810i | ||||
\(835\) | −3.15137 | − | 8.02955i | −0.109058 | − | 0.277874i | ||||
\(836\) | −5.36043 | − | 2.58145i | −0.185394 | − | 0.0892812i | ||||
\(837\) | 12.5441 | − | 25.7574i | 0.433587 | − | 0.890308i | ||||
\(838\) | −17.3441 | + | 36.0154i | −0.599142 | + | 1.24413i | ||||
\(839\) | 1.93466 | − | 25.8162i | 0.0667918 | − | 0.891275i | −0.858693 | − | 0.512490i | \(-0.828723\pi\) |
0.925485 | − | 0.378785i | \(-0.123658\pi\) | |||||||
\(840\) | −6.25838 | − | 0.893201i | −0.215935 | − | 0.0308184i | ||||
\(841\) | 2.04938 | + | 27.3471i | 0.0706684 | + | 0.943004i | ||||
\(842\) | −45.2912 | − | 17.7755i | −1.56084 | − | 0.612584i | ||||
\(843\) | −10.4805 | − | 5.39246i | −0.360967 | − | 0.185726i | ||||
\(844\) | 1.03207 | + | 2.62968i | 0.0355254 | + | 0.0905172i | ||||
\(845\) | −0.700489 | + | 3.06904i | −0.0240976 | + | 0.105578i | ||||
\(846\) | −19.1549 | + | 13.6863i | −0.658558 | + | 0.470546i | ||||
\(847\) | 1.07512 | + | 4.06379i | 0.0369417 | + | 0.139634i | ||||
\(848\) | −1.01375 | − | 6.72577i | −0.0348122 | − | 0.230964i | ||||
\(849\) | −44.5371 | + | 28.6726i | −1.52851 | + | 0.984041i | ||||
\(850\) | −2.54383 | − | 8.24691i | −0.0872528 | − | 0.282867i | ||||
\(851\) | −80.5083 | + | 46.4815i | −2.75979 | + | 1.59336i | ||||
\(852\) | −8.06923 | + | 0.999184i | −0.276447 | + | 0.0342315i | ||||
\(853\) | 8.59605 | − | 9.26434i | 0.294323 | − | 0.317205i | −0.568527 | − | 0.822665i | \(-0.692487\pi\) |
0.862850 | + | 0.505460i | \(0.168677\pi\) | |||||||
\(854\) | −8.78230 | − | 10.2707i | −0.300524 | − | 0.351458i | ||||
\(855\) | −0.284014 | + | 5.37399i | −0.00971308 | + | 0.183787i | ||||
\(856\) | −3.55342 | − | 15.5686i | −0.121453 | − | 0.532122i | ||||
\(857\) | 6.19851 | − | 0.934274i | 0.211737 | − | 0.0319142i | −0.0423171 | − | 0.999104i | \(-0.513474\pi\) |
0.254054 | + | 0.967190i | \(0.418236\pi\) | |||||||
\(858\) | −6.17001 | + | 24.0834i | −0.210641 | + | 0.822192i | ||||
\(859\) | −12.6647 | − | 13.6494i | −0.432116 | − | 0.465710i | 0.479028 | − | 0.877800i | \(-0.340989\pi\) |
−0.911143 | + | 0.412090i | \(0.864799\pi\) | |||||||
\(860\) | 0.484319 | − | 0.449382i | 0.0165151 | − | 0.0153238i | ||||
\(861\) | 5.28663 | + | 16.6738i | 0.180168 | + | 0.568242i | ||||
\(862\) | −40.7612 | − | 37.8208i | −1.38833 | − | 1.28818i | ||||
\(863\) | − | 43.4801i | − | 1.48008i | −0.672563 | − | 0.740040i | \(-0.734806\pi\) | ||
0.672563 | − | 0.740040i | \(-0.265194\pi\) | |||||||
\(864\) | −15.3054 | − | 12.3162i | −0.520700 | − | 0.419007i | ||||
\(865\) | 0.0644659 | − | 0.282443i | 0.00219190 | − | 0.00960336i | ||||
\(866\) | −0.0174650 | + | 0.233054i | −0.000593485 | + | 0.00791951i | ||||
\(867\) | 7.32005 | + | 26.1642i | 0.248602 | + | 0.888582i | ||||
\(868\) | 7.16679 | + | 7.21227i | 0.243257 | + | 0.244800i | ||||
\(869\) | 6.06899 | − | 40.2651i | 0.205876 | − | 1.36590i | ||||
\(870\) | −0.943807 | − | 2.09990i | −0.0319980 | − | 0.0711934i | ||||
\(871\) | 13.0250 | − | 5.11192i | 0.441334 | − | 0.173211i | ||||
\(872\) | −10.0797 | − | 20.9306i | −0.341340 | − | 0.708800i | ||||
\(873\) | −23.3732 | + | 30.6695i | −0.791061 | + | 1.03800i | ||||
\(874\) | −17.2709 | + | 35.8635i | −0.584198 | + | 1.21310i | ||||
\(875\) | 15.7773 | + | 4.28105i | 0.533369 | + | 0.144726i | ||||
\(876\) | −0.916103 | + | 0.589779i | −0.0309522 | + | 0.0199268i | ||||
\(877\) | −0.442393 | − | 5.90332i | −0.0149385 | − | 0.199341i | −0.999680 | − | 0.0253146i | \(-0.991941\pi\) |
0.984741 | − | 0.174026i | \(-0.0556778\pi\) | |||||||
\(878\) | −17.7007 | + | 16.4239i | −0.597370 | + | 0.554278i | ||||
\(879\) | −0.824336 | + | 2.44164i | −0.0278042 | + | 0.0823545i | ||||
\(880\) | −9.03607 | + | 3.54640i | −0.304606 | + | 0.119549i | ||||
\(881\) | 6.50081 | 0.219018 | 0.109509 | − | 0.993986i | \(-0.465072\pi\) | ||||
0.109509 | + | 0.993986i | \(0.465072\pi\) | |||||||
\(882\) | 23.0583 | − | 25.6455i | 0.776412 | − | 0.863529i | ||||
\(883\) | −52.5134 | −1.76722 | −0.883608 | − | 0.468228i | \(-0.844893\pi\) | ||||
−0.883608 | + | 0.468228i | \(0.844893\pi\) | |||||||
\(884\) | 2.11898 | − | 0.831638i | 0.0712690 | − | 0.0279710i | ||||
\(885\) | 10.5614 | − | 2.11892i | 0.355019 | − | 0.0712267i | ||||
\(886\) | −20.3899 | + | 18.9190i | −0.685011 | + | 0.635597i | ||||
\(887\) | −3.29678 | − | 43.9924i | −0.110695 | − | 1.47712i | −0.725380 | − | 0.688349i | \(-0.758336\pi\) |
0.614685 | − | 0.788773i | \(-0.289283\pi\) | |||||||
\(888\) | 1.91364 | + | 39.5076i | 0.0642176 | + | 1.32579i | ||||
\(889\) | −13.9935 | − | 12.1196i | −0.469326 | − | 0.406479i | ||||
\(890\) | −3.52992 | + | 7.32995i | −0.118323 | + | 0.245701i | ||||
\(891\) | −27.4153 | + | 3.27229i | −0.918447 | + | 0.109626i | ||||
\(892\) | 3.80882 | + | 7.90910i | 0.127529 | + | 0.264816i | ||||
\(893\) | 12.3768 | − | 4.85753i | 0.414173 | − | 0.162551i | ||||
\(894\) | −29.9611 | + | 41.5447i | −1.00205 | + | 1.38946i | ||||
\(895\) | −0.711073 | + | 4.71766i | −0.0237686 | + | 0.157694i | ||||
\(896\) | −30.2711 | + | 18.8873i | −1.01129 | + | 0.630979i | ||||
\(897\) | 41.6410 | + | 10.6682i | 1.39035 | + | 0.356200i | ||||
\(898\) | −0.501800 | + | 6.69605i | −0.0167453 | + | 0.223450i | ||||
\(899\) | 1.54033 | − | 6.74863i | 0.0513729 | − | 0.225079i | ||||
\(900\) | 6.67308 | + | 6.88186i | 0.222436 | + | 0.229395i | ||||
\(901\) | 1.58856i | 0.0529227i | ||||||||
\(902\) | 14.0969 | + | 13.0800i | 0.469375 | + | 0.435516i | ||||
\(903\) | −1.05642 | − | 6.65464i | −0.0351555 | − | 0.221453i | ||||
\(904\) | −26.6010 | + | 24.6821i | −0.884736 | + | 0.820915i | ||||
\(905\) | 2.56645 | + | 2.76597i | 0.0853116 | + | 0.0919441i | ||||
\(906\) | 19.5210 | + | 19.0963i | 0.648543 | + | 0.634431i | ||||
\(907\) | 20.6132 | − | 3.10694i | 0.684451 | − | 0.103164i | 0.202394 | − | 0.979304i | \(-0.435128\pi\) |
0.482057 | + | 0.876140i | \(0.339890\pi\) | |||||||
\(908\) | −2.85384 | − | 12.5035i | −0.0947080 | − | 0.414943i | ||||
\(909\) | −20.7084 | − | 40.6869i | −0.686856 | − | 1.34950i | ||||
\(910\) | −1.50848 | + | 7.83669i | −0.0500055 | + | 0.259784i | ||||
\(911\) | 20.2238 | − | 21.7961i | 0.670045 | − | 0.722137i | −0.302939 | − | 0.953010i | \(-0.597968\pi\) |
0.972984 | + | 0.230873i | \(0.0741583\pi\) | |||||||
\(912\) | 14.2551 | + | 18.8769i | 0.472035 | + | 0.625076i | ||||
\(913\) | −15.7526 | + | 9.09478i | −0.521336 | + | 0.300993i | ||||
\(914\) | 7.51422 | + | 24.3605i | 0.248548 | + | 0.805773i | ||||
\(915\) | 0.168019 | + | 3.46879i | 0.00555454 | + | 0.114675i | ||||
\(916\) | −2.23083 | − | 14.8006i | −0.0737087 | − | 0.489026i | ||||
\(917\) | 41.1941 | − | 21.6053i | 1.36035 | − | 0.713469i | ||||
\(918\) | 6.62183 | + | 7.19993i | 0.218553 | + | 0.237633i | ||||
\(919\) | −3.94042 | + | 17.2641i | −0.129982 | + | 0.569491i | 0.867427 | + | 0.497564i | \(0.165772\pi\) |
−0.997410 | + | 0.0719268i | \(0.977085\pi\) | |||||||
\(920\) | 4.39032 | + | 11.1863i | 0.144744 | + | 0.368803i | ||||
\(921\) | −1.94147 | − | 40.0821i | −0.0639736 | − | 1.32075i | ||||
\(922\) | −16.3191 | − | 6.40477i | −0.537440 | − | 0.210930i | ||||
\(923\) | −1.43396 | − | 19.1349i | −0.0471994 | − | 0.629833i | ||||
\(924\) | 2.10547 | − | 9.56971i | 0.0692648 | − | 0.314820i | ||||
\(925\) | 3.65612 | − | 48.7875i | 0.120212 | − | 1.60412i | ||||
\(926\) | 8.98537 | − | 18.6583i | 0.295277 | − | 0.613150i | ||||
\(927\) | −2.22058 | + | 42.0169i | −0.0729335 | + | 1.38002i | ||||
\(928\) | −4.27658 | − | 2.05949i | −0.140386 | − | 0.0676062i | ||||
\(929\) | −8.02537 | − | 20.4483i | −0.263304 | − | 0.670887i | 0.736682 | − | 0.676239i | \(-0.236392\pi\) |
−0.999986 | + | 0.00535241i | \(0.998296\pi\) | |||||||
\(930\) | −1.24249 | − | 10.0341i | −0.0407428 | − | 0.329032i | ||||
\(931\) | −16.1622 | + | 10.8700i | −0.529694 | + | 0.356251i | ||||
\(932\) | 6.68613 | − | 3.86024i | 0.219012 | − | 0.126446i | ||||
\(933\) | 4.07502 | + | 2.49841i | 0.133410 | + | 0.0817943i | ||||
\(934\) | 13.7362 | + | 20.1474i | 0.449463 | + | 0.659242i | ||||
\(935\) | 2.21027 | − | 0.504481i | 0.0722837 | − | 0.0164983i | ||||
\(936\) | 12.1422 | − | 13.6776i | 0.396879 | − | 0.447068i | ||||
\(937\) | −22.3745 | − | 46.4612i | −0.730945 | − | 1.51782i | −0.851064 | − | 0.525063i | \(-0.824042\pi\) |
0.120119 | − | 0.992760i | \(-0.461672\pi\) | |||||||
\(938\) | −19.5856 | + | 8.47144i | −0.639491 | + | 0.276602i | ||||
\(939\) | −8.99276 | − | 44.8231i | −0.293468 | − | 1.46275i | ||||
\(940\) | −0.784435 | + | 1.99871i | −0.0255854 | + | 0.0651906i | ||||
\(941\) | −26.4036 | − | 18.0017i | −0.860732 | − | 0.586837i | 0.0505029 | − | 0.998724i | \(-0.483918\pi\) |
−0.911235 | + | 0.411887i | \(0.864870\pi\) | |||||||
\(942\) | −52.2029 | + | 28.3290i | −1.70086 | + | 0.923008i | ||||
\(943\) | 22.6158 | − | 24.3740i | 0.736471 | − | 0.793727i | ||||
\(944\) | 29.5214 | − | 37.0187i | 0.960840 | − | 1.20486i | ||||
\(945\) | −8.72061 | + | 1.58180i | −0.283682 | + | 0.0514558i | ||||
\(946\) | −4.61861 | − | 5.79156i | −0.150164 | − | 0.188300i | ||||
\(947\) | 53.6329 | + | 4.01923i | 1.74284 | + | 0.130608i | 0.907750 | − | 0.419512i | \(-0.137799\pi\) |
0.835086 | + | 0.550119i | \(0.185418\pi\) | |||||||
\(948\) | 9.37311 | − | 12.9969i | 0.304425 | − | 0.422121i | ||||
\(949\) | −1.28563 | − | 2.22678i | −0.0417334 | − | 0.0722843i | ||||
\(950\) | −10.4744 | − | 18.1421i | −0.339833 | − | 0.588608i | ||||
\(951\) | −37.3640 | + | 16.7933i | −1.21161 | + | 0.544561i | ||||
\(952\) | 5.95661 | − | 2.57644i | 0.193055 | − | 0.0835030i | ||||
\(953\) | −47.6755 | + | 10.8816i | −1.54436 | + | 0.352490i | −0.908023 | − | 0.418920i | \(-0.862409\pi\) |
−0.636338 | + | 0.771410i | \(0.719552\pi\) | |||||||
\(954\) | −3.09693 | − | 6.08469i | −0.100267 | − | 0.196999i | ||||
\(955\) | 12.5367 | − | 9.99771i | 0.405679 | − | 0.323518i | ||||
\(956\) | 1.42586 | + | 9.45996i | 0.0461156 | + | 0.305957i | ||||
\(957\) | −6.27201 | + | 2.27241i | −0.202745 | + | 0.0734565i | ||||
\(958\) | −24.5643 | − | 26.4740i | −0.793637 | − | 0.855337i | ||||
\(959\) | −7.70292 | + | 12.1735i | −0.248740 | + | 0.393102i | ||||
\(960\) | 4.00748 | + | 0.406948i | 0.129341 | + | 0.0131342i | ||||
\(961\) | −0.299996 | + | 0.519608i | −0.00967728 | + | 0.0167615i | ||||
\(962\) | 49.9323 | 1.60988 | ||||||||
\(963\) | −11.6177 | − | 19.1375i | −0.374375 | − | 0.616697i | ||||
\(964\) | −6.25529 | − | 12.9892i | −0.201469 | − | 0.418356i | ||||
\(965\) | 0.618822 | − | 0.0932725i | 0.0199206 | − | 0.00300255i | ||||
\(966\) | −64.0253 | − | 14.0864i | −2.05998 | − | 0.453224i | ||||
\(967\) | −22.0617 | − | 3.32526i | −0.709456 | − | 0.106933i | −0.215606 | − | 0.976480i | \(-0.569173\pi\) |
−0.493850 | + | 0.869547i | \(0.664411\pi\) | |||||||
\(968\) | −1.00212 | − | 3.24879i | −0.0322093 | − | 0.104420i | ||||
\(969\) | −2.63505 | − | 4.85571i | −0.0846500 | − | 0.155988i | ||||
\(970\) | −1.01696 | + | 13.5704i | −0.0326526 | + | 0.435719i | ||||
\(971\) | −27.4828 | − | 34.4623i | −0.881964 | − | 1.10595i | −0.993685 | − | 0.112208i | \(-0.964208\pi\) |
0.111721 | − | 0.993740i | \(-0.464364\pi\) | |||||||
\(972\) | −10.1823 | − | 3.79088i | −0.326599 | − | 0.121593i | ||||
\(973\) | 2.54485 | − | 5.78288i | 0.0815841 | − | 0.185391i | ||||
\(974\) | 35.0180 | + | 2.62424i | 1.12205 | + | 0.0840860i | ||||
\(975\) | −16.9838 | + | 14.9441i | −0.543918 | + | 0.478593i | ||||
\(976\) | 10.3830 | + | 11.1902i | 0.332351 | + | 0.358189i | ||||
\(977\) | −11.3069 | + | 0.847332i | −0.361738 | + | 0.0271085i | −0.254360 | − | 0.967110i | \(-0.581865\pi\) |
−0.107379 | + | 0.994218i | \(0.534246\pi\) | |||||||
\(978\) | 50.0241 | + | 1.32096i | 1.59959 | + | 0.0422396i | ||||
\(979\) | 20.4154 | + | 11.7868i | 0.652480 | + | 0.376709i | ||||
\(980\) | 0.488466 | − | 3.10724i | 0.0156035 | − | 0.0992570i | ||||
\(981\) | −22.6726 | − | 23.3819i | −0.723879 | − | 0.746527i | ||||
\(982\) | 1.17648 | − | 1.47526i | 0.0375430 | − | 0.0470774i | ||||
\(983\) | 0.529171 | − | 0.360783i | 0.0168779 | − | 0.0115072i | −0.554852 | − | 0.831949i | \(-0.687225\pi\) |
0.571730 | + | 0.820442i | \(0.306273\pi\) | |||||||
\(984\) | −4.81913 | − | 13.3011i | −0.153628 | − | 0.424025i | ||||
\(985\) | 6.36206 | − | 0.476770i | 0.202712 | − | 0.0151912i | ||||
\(986\) | 1.95280 | + | 1.33140i | 0.0621899 | + | 0.0424003i | ||||
\(987\) | 12.4766 | + | 17.9952i | 0.397134 | + | 0.572793i | ||||
\(988\) | 4.56532 | − | 3.11258i | 0.145242 | − | 0.0990244i | ||||
\(989\) | −10.0138 | + | 7.98575i | −0.318421 | + | 0.253932i | ||||
\(990\) | −7.48254 | + | 6.24128i | −0.237811 | + | 0.198361i | ||||
\(991\) | 22.4088 | − | 28.0998i | 0.711839 | − | 0.892618i | −0.286006 | − | 0.958228i | \(-0.592328\pi\) |
0.997845 | + | 0.0656094i | \(0.0208991\pi\) | |||||||
\(992\) | −15.2810 | − | 14.1787i | −0.485173 | − | 0.450175i | ||||
\(993\) | −0.396014 | + | 14.9968i | −0.0125671 | + | 0.475910i | ||||
\(994\) | 3.18452 | + | 29.0902i | 0.101007 | + | 0.922685i | ||||
\(995\) | −15.3094 | − | 6.00851i | −0.485341 | − | 0.190482i | ||||
\(996\) | −7.14963 | + | 0.346309i | −0.226545 | + | 0.0109732i | ||||
\(997\) | 10.7732 | − | 11.6108i | 0.341192 | − | 0.367717i | −0.539025 | − | 0.842290i | \(-0.681207\pi\) |
0.880216 | + | 0.474573i | \(0.157397\pi\) | |||||||
\(998\) | 26.2481i | 0.830870i | ||||||||
\(999\) | 20.0319 | + | 51.7084i | 0.633781 | + | 1.63598i |
(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 | 441.2.bh.a.398.42 | yes | 648 | |
9.5 | odd | 6 | inner | 441.2.bh.a.104.42 | yes | 648 | |
49.41 | odd | 14 | inner | 441.2.bh.a.335.42 | yes | 648 | |
441.41 | even | 42 | inner | 441.2.bh.a.41.42 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bh.a.41.42 | ✓ | 648 | 441.41 | even | 42 | inner | |
441.2.bh.a.104.42 | yes | 648 | 9.5 | odd | 6 | inner | |
441.2.bh.a.335.42 | yes | 648 | 49.41 | odd | 14 | inner | |
441.2.bh.a.398.42 | yes | 648 | 1.1 | even | 1 | trivial |