Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 287.66 | ||
Character | \(\chi\) | \(=\) | 300.287 |
Dual form | 300.3.u.a.23.66 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.399881 | + | 1.95962i | 0.199941 | + | 0.979808i | ||||
\(3\) | 2.57434 | − | 1.54038i | 0.858114 | − | 0.513458i | ||||
\(4\) | −3.68019 | + | 1.56723i | −0.920047 | + | 0.391807i | ||||
\(5\) | 2.44974 | + | 4.35876i | 0.489947 | + | 0.871752i | ||||
\(6\) | 4.04798 | + | 4.42876i | 0.674663 | + | 0.738126i | ||||
\(7\) | 7.67406 | − | 7.67406i | 1.09629 | − | 1.09629i | 0.101453 | − | 0.994840i | \(-0.467651\pi\) |
0.994840 | − | 0.101453i | \(-0.0323493\pi\) | |||||||
\(8\) | −4.54281 | − | 6.58505i | −0.567851 | − | 0.823132i | ||||
\(9\) | 4.25449 | − | 7.93091i | 0.472721 | − | 0.881212i | ||||
\(10\) | −7.56189 | + | 6.54353i | −0.756189 | + | 0.654353i | ||||
\(11\) | 9.89661 | + | 7.19031i | 0.899692 | + | 0.653664i | 0.938387 | − | 0.345587i | \(-0.112320\pi\) |
−0.0386949 | + | 0.999251i | \(0.512320\pi\) | |||||||
\(12\) | −7.05995 | + | 9.70346i | −0.588329 | + | 0.808621i | ||||
\(13\) | 2.07640 | − | 13.1098i | 0.159723 | − | 1.00845i | −0.769424 | − | 0.638738i | \(-0.779457\pi\) |
0.929147 | − | 0.369711i | \(-0.120543\pi\) | |||||||
\(14\) | 18.1069 | + | 11.9695i | 1.29335 | + | 0.854964i | ||||
\(15\) | 13.0206 | + | 7.44743i | 0.868039 | + | 0.496496i | ||||
\(16\) | 11.0876 | − | 11.5354i | 0.692974 | − | 0.720962i | ||||
\(17\) | −0.490801 | − | 0.963252i | −0.0288707 | − | 0.0566619i | 0.876121 | − | 0.482092i | \(-0.160123\pi\) |
−0.904991 | + | 0.425430i | \(0.860123\pi\) | |||||||
\(18\) | 17.2428 | + | 5.16574i | 0.957935 | + | 0.286985i | ||||
\(19\) | −8.91902 | + | 27.4499i | −0.469422 | + | 1.44473i | 0.383912 | + | 0.923370i | \(0.374577\pi\) |
−0.853335 | + | 0.521364i | \(0.825423\pi\) | |||||||
\(20\) | −15.8467 | − | 12.2018i | −0.792333 | − | 0.610089i | ||||
\(21\) | 7.93473 | − | 31.5766i | 0.377844 | − | 1.50365i | ||||
\(22\) | −10.1328 | + | 22.2688i | −0.460581 | + | 1.01222i | ||||
\(23\) | −26.0819 | + | 4.13097i | −1.13400 | + | 0.179607i | −0.695088 | − | 0.718924i | \(-0.744635\pi\) |
−0.438908 | + | 0.898532i | \(0.644635\pi\) | |||||||
\(24\) | −21.8382 | − | 9.95456i | −0.909925 | − | 0.414773i | ||||
\(25\) | −12.9976 | + | 21.3556i | −0.519904 | + | 0.854225i | ||||
\(26\) | 26.5206 | − | 1.17345i | 1.02002 | − | 0.0451326i | ||||
\(27\) | −1.26407 | − | 26.9704i | −0.0468173 | − | 0.998903i | ||||
\(28\) | −16.2150 | + | 40.2690i | −0.579107 | + | 1.43818i | ||||
\(29\) | 0.627304 | + | 1.93064i | 0.0216312 | + | 0.0665739i | 0.961289 | − | 0.275541i | \(-0.0888569\pi\) |
−0.939658 | + | 0.342115i | \(0.888857\pi\) | |||||||
\(30\) | −9.38742 | + | 28.4934i | −0.312914 | + | 0.949781i | ||||
\(31\) | 48.8892 | + | 15.8851i | 1.57707 | + | 0.512421i | 0.961300 | − | 0.275504i | \(-0.0888449\pi\) |
0.615770 | + | 0.787926i | \(0.288845\pi\) | |||||||
\(32\) | 27.0387 | + | 17.1146i | 0.844958 | + | 0.534832i | ||||
\(33\) | 36.5530 | + | 3.26583i | 1.10767 | + | 0.0989645i | ||||
\(34\) | 1.69134 | − | 1.34697i | 0.0497453 | − | 0.0396167i | ||||
\(35\) | 52.2488 | + | 14.6500i | 1.49282 | + | 0.418570i | ||||
\(36\) | −3.22777 | + | 35.8550i | −0.0896604 | + | 0.995972i | ||||
\(37\) | −18.2753 | − | 2.89452i | −0.493927 | − | 0.0782304i | −0.0954982 | − | 0.995430i | \(-0.530444\pi\) |
−0.398429 | + | 0.917199i | \(0.630444\pi\) | |||||||
\(38\) | −57.3579 | − | 6.50114i | −1.50942 | − | 0.171083i | ||||
\(39\) | −14.8487 | − | 36.9477i | −0.380737 | − | 0.947376i | ||||
\(40\) | 17.5740 | − | 35.9326i | 0.439350 | − | 0.898316i | ||||
\(41\) | 2.09070 | + | 2.87760i | 0.0509926 | + | 0.0701853i | 0.833752 | − | 0.552139i | \(-0.186188\pi\) |
−0.782759 | + | 0.622325i | \(0.786188\pi\) | |||||||
\(42\) | 65.0509 | + | 2.92213i | 1.54883 | + | 0.0695745i | ||||
\(43\) | −10.4680 | − | 10.4680i | −0.243441 | − | 0.243441i | 0.574831 | − | 0.818272i | \(-0.305068\pi\) |
−0.818272 | + | 0.574831i | \(0.805068\pi\) | |||||||
\(44\) | −47.6903 | − | 10.9515i | −1.08387 | − | 0.248897i | ||||
\(45\) | 44.9913 | − | 0.884338i | 0.999807 | − | 0.0196520i | ||||
\(46\) | −18.5248 | − | 49.4586i | −0.402713 | − | 1.07519i | ||||
\(47\) | −27.9767 | + | 54.9073i | −0.595249 | + | 1.16824i | 0.375202 | + | 0.926943i | \(0.377573\pi\) |
−0.970451 | + | 0.241298i | \(0.922427\pi\) | |||||||
\(48\) | 10.7744 | − | 46.7751i | 0.224467 | − | 0.974482i | ||||
\(49\) | − | 68.7823i | − | 1.40372i | ||||||
\(50\) | −47.0463 | − | 16.9306i | −0.940926 | − | 0.338611i | ||||
\(51\) | −2.74726 | − | 1.72372i | −0.0538678 | − | 0.0337985i | ||||
\(52\) | 12.9046 | + | 51.5009i | 0.248165 | + | 0.990402i | ||||
\(53\) | 24.1611 | − | 47.4189i | 0.455871 | − | 0.894696i | −0.542631 | − | 0.839971i | \(-0.682572\pi\) |
0.998501 | − | 0.0547251i | \(-0.0174282\pi\) | |||||||
\(54\) | 52.3461 | − | 13.2620i | 0.969373 | − | 0.245593i | ||||
\(55\) | −7.09676 | + | 60.7513i | −0.129032 | + | 1.10457i | ||||
\(56\) | −85.3958 | − | 15.6723i | −1.52493 | − | 0.279863i | ||||
\(57\) | 19.3226 | + | 84.4042i | 0.338992 | + | 1.48078i | ||||
\(58\) | −3.53247 | + | 2.00130i | −0.0609046 | + | 0.0345052i | ||||
\(59\) | −34.1055 | − | 46.9422i | −0.578059 | − | 0.795630i | 0.415422 | − | 0.909629i | \(-0.363634\pi\) |
−0.993481 | + | 0.113999i | \(0.963634\pi\) | |||||||
\(60\) | −59.5901 | − | 7.00174i | −0.993168 | − | 0.116696i | ||||
\(61\) | −53.7241 | − | 39.0329i | −0.880723 | − | 0.639883i | 0.0527195 | − | 0.998609i | \(-0.483211\pi\) |
−0.933443 | + | 0.358726i | \(0.883211\pi\) | |||||||
\(62\) | −11.5787 | + | 102.156i | −0.186754 | + | 1.64768i | ||||
\(63\) | −28.2131 | − | 93.5114i | −0.447827 | − | 1.48431i | ||||
\(64\) | −22.7258 | + | 59.8292i | −0.355091 | + | 0.934832i | ||||
\(65\) | 62.2293 | − | 23.0651i | 0.957374 | − | 0.354848i | ||||
\(66\) | 8.21712 | + | 72.9359i | 0.124502 | + | 1.10509i | ||||
\(67\) | −41.2347 | − | 80.9276i | −0.615443 | − | 1.20787i | −0.962819 | − | 0.270149i | \(-0.912927\pi\) |
0.347376 | − | 0.937726i | \(-0.387073\pi\) | |||||||
\(68\) | 3.31588 | + | 2.77575i | 0.0487629 | + | 0.0408199i | ||||
\(69\) | −60.7806 | + | 50.8105i | −0.880878 | + | 0.736384i | ||||
\(70\) | −7.81499 | + | 108.246i | −0.111643 | + | 1.54637i | ||||
\(71\) | 39.4004 | + | 121.262i | 0.554935 | + | 1.70792i | 0.696114 | + | 0.717931i | \(0.254911\pi\) |
−0.141179 | + | 0.989984i | \(0.545089\pi\) | |||||||
\(72\) | −71.5528 | + | 8.01255i | −0.993788 | + | 0.111285i | ||||
\(73\) | −119.255 | + | 18.8881i | −1.63362 | + | 0.258741i | −0.904761 | − | 0.425919i | \(-0.859951\pi\) |
−0.728863 | + | 0.684660i | \(0.759951\pi\) | |||||||
\(74\) | −1.63580 | − | 36.9700i | −0.0221054 | − | 0.499595i | ||||
\(75\) | −0.564590 | + | 74.9979i | −0.00752787 | + | 0.999972i | ||||
\(76\) | −10.1966 | − | 114.999i | −0.134166 | − | 1.51315i | ||||
\(77\) | 131.126 | − | 20.7683i | 1.70293 | − | 0.269718i | ||||
\(78\) | 66.4655 | − | 43.8725i | 0.852122 | − | 0.562468i | ||||
\(79\) | 18.4713 | + | 56.8487i | 0.233814 | + | 0.719604i | 0.997277 | + | 0.0737526i | \(0.0234975\pi\) |
−0.763463 | + | 0.645852i | \(0.776502\pi\) | |||||||
\(80\) | 77.4417 | + | 20.0695i | 0.968021 | + | 0.250869i | ||||
\(81\) | −44.7987 | − | 67.4839i | −0.553070 | − | 0.833135i | ||||
\(82\) | −4.80295 | + | 5.24766i | −0.0585726 | + | 0.0639958i | ||||
\(83\) | −32.8043 | − | 64.3820i | −0.395232 | − | 0.775687i | 0.604550 | − | 0.796567i | \(-0.293353\pi\) |
−0.999782 | + | 0.0208807i | \(0.993353\pi\) | |||||||
\(84\) | 20.2864 | + | 128.643i | 0.241505 | + | 1.53147i | ||||
\(85\) | 2.99625 | − | 4.49900i | 0.0352500 | − | 0.0529294i | ||||
\(86\) | 16.3272 | − | 24.6991i | 0.189852 | − | 0.287199i | ||||
\(87\) | 4.58881 | + | 4.00385i | 0.0527449 | + | 0.0460213i | ||||
\(88\) | 2.39019 | − | 97.8339i | 0.0271612 | − | 1.11175i | ||||
\(89\) | −7.48900 | − | 5.44108i | −0.0841461 | − | 0.0611357i | 0.544917 | − | 0.838490i | \(-0.316561\pi\) |
−0.629063 | + | 0.777354i | \(0.716561\pi\) | |||||||
\(90\) | 19.7242 | + | 87.8121i | 0.219157 | + | 0.975690i | ||||
\(91\) | −84.6713 | − | 116.540i | −0.930454 | − | 1.28066i | ||||
\(92\) | 89.5122 | − | 56.0791i | 0.972959 | − | 0.609555i | ||||
\(93\) | 150.326 | − | 34.4141i | 1.61641 | − | 0.370044i | ||||
\(94\) | −118.785 | − | 32.8671i | −1.26367 | − | 0.349650i | ||||
\(95\) | −141.497 | + | 28.3692i | −1.48944 | + | 0.298623i | ||||
\(96\) | 95.9698 | + | 2.40924i | 0.999685 | + | 0.0250963i | ||||
\(97\) | 53.3048 | − | 104.616i | 0.549534 | − | 1.07852i | −0.434522 | − | 0.900661i | \(-0.643083\pi\) |
0.984056 | − | 0.177859i | \(-0.0569172\pi\) | |||||||
\(98\) | 134.787 | − | 27.5048i | 1.37538 | − | 0.280661i | ||||
\(99\) | 99.1307 | − | 47.8981i | 1.00132 | − | 0.483819i | ||||
\(100\) | 14.3645 | − | 98.9629i | 0.143645 | − | 0.989629i | ||||
\(101\) | 25.1719i | 0.249226i | 0.992205 | + | 0.124613i | \(0.0397690\pi\) | ||||
−0.992205 | + | 0.124613i | \(0.960231\pi\) | |||||||
\(102\) | 2.27926 | − | 6.07286i | 0.0223456 | − | 0.0595378i | ||||
\(103\) | 28.6702 | − | 56.2684i | 0.278351 | − | 0.546295i | −0.708930 | − | 0.705279i | \(-0.750822\pi\) |
0.987281 | + | 0.158984i | \(0.0508217\pi\) | |||||||
\(104\) | −95.7617 | + | 45.8823i | −0.920785 | + | 0.441176i | ||||
\(105\) | 157.073 | − | 42.7687i | 1.49593 | − | 0.407321i | ||||
\(106\) | 102.584 | + | 28.3846i | 0.967778 | + | 0.267779i | ||||
\(107\) | 60.1323 | + | 60.1323i | 0.561984 | + | 0.561984i | 0.929871 | − | 0.367886i | \(-0.119918\pi\) |
−0.367886 | + | 0.929871i | \(0.619918\pi\) | |||||||
\(108\) | 46.9208 | + | 97.2751i | 0.434452 | + | 0.900695i | ||||
\(109\) | −41.6201 | − | 57.2852i | −0.381836 | − | 0.525552i | 0.574234 | − | 0.818691i | \(-0.305300\pi\) |
−0.956070 | + | 0.293139i | \(0.905300\pi\) | |||||||
\(110\) | −121.887 | + | 10.3864i | −1.10806 | + | 0.0944219i | ||||
\(111\) | −51.5056 | + | 20.6993i | −0.464014 | + | 0.186480i | ||||
\(112\) | −3.43647 | − | 173.610i | −0.0306828 | − | 1.55009i | ||||
\(113\) | −96.3854 | − | 15.2659i | −0.852968 | − | 0.135097i | −0.285385 | − | 0.958413i | \(-0.592121\pi\) |
−0.567583 | + | 0.823316i | \(0.692121\pi\) | |||||||
\(114\) | −157.673 | + | 71.6165i | −1.38310 | + | 0.628215i | ||||
\(115\) | −81.8997 | − | 103.565i | −0.712171 | − | 0.900566i | ||||
\(116\) | −5.33435 | − | 6.12200i | −0.0459858 | − | 0.0527759i | ||||
\(117\) | −95.1390 | − | 72.2434i | −0.813154 | − | 0.617465i | ||||
\(118\) | 78.3505 | − | 85.6050i | 0.663987 | − | 0.725466i | ||||
\(119\) | −11.1585 | − | 3.62561i | −0.0937688 | − | 0.0304673i | ||||
\(120\) | −10.1082 | − | 119.574i | −0.0842354 | − | 0.996446i | ||||
\(121\) | 8.85131 | + | 27.2415i | 0.0731513 | + | 0.225137i | ||||
\(122\) | 55.0061 | − | 120.887i | 0.450870 | − | 0.990878i | ||||
\(123\) | 9.81475 | + | 4.18746i | 0.0797947 | + | 0.0340444i | ||||
\(124\) | −204.817 | + | 18.1605i | −1.65175 | + | 0.146455i | ||||
\(125\) | −124.925 | − | 4.33777i | −0.999398 | − | 0.0347021i | ||||
\(126\) | 171.965 | − | 92.6803i | 1.36480 | − | 0.735558i | ||||
\(127\) | 95.2977 | − | 15.0937i | 0.750376 | − | 0.118848i | 0.230479 | − | 0.973077i | \(-0.425971\pi\) |
0.519896 | + | 0.854229i | \(0.325971\pi\) | |||||||
\(128\) | −126.330 | − | 20.6093i | −0.986953 | − | 0.161010i | ||||
\(129\) | −43.0727 | − | 10.8235i | −0.333897 | − | 0.0839034i | ||||
\(130\) | 70.0832 | + | 112.722i | 0.539101 | + | 0.867094i | ||||
\(131\) | −38.3928 | + | 118.161i | −0.293075 | + | 0.901991i | 0.690787 | + | 0.723059i | \(0.257264\pi\) |
−0.983861 | + | 0.178932i | \(0.942736\pi\) | |||||||
\(132\) | −139.640 | + | 45.2681i | −1.05788 | + | 0.342940i | ||||
\(133\) | 142.207 | + | 279.097i | 1.06923 | + | 2.09848i | ||||
\(134\) | 142.098 | − | 113.166i | 1.06043 | − | 0.844519i | ||||
\(135\) | 114.461 | − | 71.5801i | 0.847858 | − | 0.530223i | ||||
\(136\) | −4.11345 | + | 7.60782i | −0.0302459 | + | 0.0559398i | ||||
\(137\) | 2.81917 | − | 17.7995i | 0.0205779 | − | 0.129924i | −0.975261 | − | 0.221058i | \(-0.929049\pi\) |
0.995839 | + | 0.0911339i | \(0.0290491\pi\) | |||||||
\(138\) | −123.874 | − | 98.7884i | −0.897638 | − | 0.715858i | ||||
\(139\) | −23.2189 | − | 16.8695i | −0.167042 | − | 0.121363i | 0.501123 | − | 0.865376i | \(-0.332920\pi\) |
−0.668166 | + | 0.744012i | \(0.732920\pi\) | |||||||
\(140\) | −215.245 | + | 27.9711i | −1.53747 | + | 0.199794i | ||||
\(141\) | 12.5563 | + | 184.445i | 0.0890519 | + | 1.30812i | ||||
\(142\) | −221.871 | + | 125.700i | −1.56247 | + | 0.885212i | ||||
\(143\) | 114.813 | − | 114.813i | 0.802889 | − | 0.802889i | ||||
\(144\) | −44.3142 | − | 137.012i | −0.307737 | − | 0.951471i | ||||
\(145\) | −6.87848 | + | 7.46383i | −0.0474378 | + | 0.0514747i | ||||
\(146\) | −84.7010 | − | 226.140i | −0.580144 | − | 1.54891i | ||||
\(147\) | −105.951 | − | 177.069i | −0.720752 | − | 1.20455i | ||||
\(148\) | 71.7930 | − | 17.9892i | 0.485088 | − | 0.121548i | ||||
\(149\) | 73.0043 | 0.489961 | 0.244981 | − | 0.969528i | \(-0.421218\pi\) | ||||
0.244981 | + | 0.969528i | \(0.421218\pi\) | |||||||
\(150\) | −147.193 | + | 28.8839i | −0.981285 | + | 0.192559i | ||||
\(151\) | 18.5687i | 0.122971i | 0.998108 | + | 0.0614857i | \(0.0195839\pi\) | ||||
−0.998108 | + | 0.0614857i | \(0.980416\pi\) | |||||||
\(152\) | 221.277 | − | 65.9675i | 1.45577 | − | 0.433996i | ||||
\(153\) | −9.72757 | − | 0.205642i | −0.0635789 | − | 0.00134406i | ||||
\(154\) | 93.1328 | + | 248.652i | 0.604758 | + | 1.61462i | ||||
\(155\) | 50.5264 | + | 252.010i | 0.325977 | + | 1.62587i | ||||
\(156\) | 112.552 | + | 112.703i | 0.721484 | + | 0.722456i | ||||
\(157\) | −31.7066 | − | 31.7066i | −0.201953 | − | 0.201953i | 0.598883 | − | 0.800836i | \(-0.295611\pi\) |
−0.800836 | + | 0.598883i | \(0.795611\pi\) | |||||||
\(158\) | −104.015 | + | 58.9294i | −0.658325 | + | 0.372971i | ||||
\(159\) | −10.8438 | − | 159.290i | −0.0682003 | − | 1.00182i | ||||
\(160\) | −8.36100 | + | 159.781i | −0.0522562 | + | 0.998634i | ||||
\(161\) | −168.453 | + | 231.855i | −1.04629 | + | 1.44010i | ||||
\(162\) | 114.328 | − | 114.774i | 0.705731 | − | 0.708480i | ||||
\(163\) | 129.223 | + | 20.4670i | 0.792782 | + | 0.125564i | 0.539674 | − | 0.841874i | \(-0.318547\pi\) |
0.253108 | + | 0.967438i | \(0.418547\pi\) | |||||||
\(164\) | −12.2040 | − | 7.31350i | −0.0744147 | − | 0.0445945i | ||||
\(165\) | 75.3103 | + | 167.326i | 0.456426 | + | 1.01410i | ||||
\(166\) | 113.046 | − | 90.0289i | 0.681001 | − | 0.542343i | ||||
\(167\) | 126.122 | − | 64.2622i | 0.755220 | − | 0.384804i | −0.0335942 | − | 0.999436i | \(-0.510695\pi\) |
0.788814 | + | 0.614632i | \(0.210695\pi\) | |||||||
\(168\) | −243.979 | + | 91.1957i | −1.45226 | + | 0.542831i | ||||
\(169\) | −6.82804 | − | 2.21857i | −0.0404026 | − | 0.0131276i | ||||
\(170\) | 10.0145 | + | 4.07243i | 0.0589085 | + | 0.0239555i | ||||
\(171\) | 179.757 | + | 187.521i | 1.05121 | + | 1.09662i | ||||
\(172\) | 54.9298 | + | 22.1184i | 0.319359 | + | 0.128595i | ||||
\(173\) | 28.3226 | + | 178.822i | 0.163714 | + | 1.03365i | 0.923534 | + | 0.383517i | \(0.125287\pi\) |
−0.759820 | + | 0.650134i | \(0.774713\pi\) | |||||||
\(174\) | −6.01103 | + | 10.5934i | −0.0345462 | + | 0.0608814i | ||||
\(175\) | 64.1400 | + | 263.628i | 0.366514 | + | 1.50645i | ||||
\(176\) | 192.673 | − | 34.4381i | 1.09473 | − | 0.195671i | ||||
\(177\) | −160.108 | − | 68.3101i | −0.904564 | − | 0.385933i | ||||
\(178\) | 7.66771 | − | 16.8513i | 0.0430770 | − | 0.0946705i | ||||
\(179\) | −45.8840 | + | 14.9086i | −0.256335 | + | 0.0832883i | −0.434366 | − | 0.900737i | \(-0.643027\pi\) |
0.178031 | + | 0.984025i | \(0.443027\pi\) | |||||||
\(180\) | −164.191 | + | 73.7662i | −0.912170 | + | 0.409812i | ||||
\(181\) | −69.0448 | + | 212.498i | −0.381463 | + | 1.17402i | 0.557551 | + | 0.830143i | \(0.311741\pi\) |
−0.939014 | + | 0.343880i | \(0.888259\pi\) | |||||||
\(182\) | 194.515 | − | 212.525i | 1.06877 | − | 1.16772i | ||||
\(183\) | −198.430 | − | 17.7287i | −1.08431 | − | 0.0968780i | ||||
\(184\) | 145.688 | + | 152.985i | 0.791781 | + | 0.831438i | ||||
\(185\) | −32.1531 | − | 86.7485i | −0.173801 | − | 0.468911i | ||||
\(186\) | 127.551 | + | 280.821i | 0.685759 | + | 1.50979i | ||||
\(187\) | 2.06881 | − | 13.0619i | 0.0110631 | − | 0.0698499i | ||||
\(188\) | 16.9072 | − | 245.915i | 0.0899318 | − | 1.30806i | ||||
\(189\) | −216.673 | − | 197.272i | −1.14642 | − | 1.04377i | ||||
\(190\) | −112.175 | − | 265.935i | −0.590393 | − | 1.39966i | ||||
\(191\) | 34.4961 | − | 25.0629i | 0.180608 | − | 0.131219i | −0.493808 | − | 0.869571i | \(-0.664396\pi\) |
0.674416 | + | 0.738352i | \(0.264396\pi\) | |||||||
\(192\) | 33.6553 | + | 189.027i | 0.175288 | + | 0.984517i | ||||
\(193\) | −98.8090 | + | 98.8090i | −0.511964 | + | 0.511964i | −0.915128 | − | 0.403164i | \(-0.867910\pi\) |
0.403164 | + | 0.915128i | \(0.367910\pi\) | |||||||
\(194\) | 226.324 | + | 62.6227i | 1.16662 | + | 0.322797i | ||||
\(195\) | 124.671 | − | 155.234i | 0.639336 | − | 0.796072i | ||||
\(196\) | 107.798 | + | 253.132i | 0.549987 | + | 1.29149i | ||||
\(197\) | −278.505 | − | 141.905i | −1.41373 | − | 0.720331i | −0.430481 | − | 0.902600i | \(-0.641656\pi\) |
−0.983249 | + | 0.182269i | \(0.941656\pi\) | |||||||
\(198\) | 133.502 | + | 175.105i | 0.674254 | + | 0.884366i | ||||
\(199\) | −83.9088 | −0.421652 | −0.210826 | − | 0.977524i | \(-0.567615\pi\) | ||||
−0.210826 | + | 0.977524i | \(0.567615\pi\) | |||||||
\(200\) | 199.673 | − | 11.4246i | 0.998367 | − | 0.0571230i | ||||
\(201\) | −230.811 | − | 144.819i | −1.14831 | − | 0.720490i | ||||
\(202\) | −49.3272 | + | 10.0658i | −0.244194 | + | 0.0498305i | ||||
\(203\) | 19.6298 | + | 10.0019i | 0.0966986 | + | 0.0492704i | ||||
\(204\) | 12.8119 | + | 2.03804i | 0.0628035 | + | 0.00999040i | ||||
\(205\) | −7.42110 | + | 16.1622i | −0.0362005 | + | 0.0788400i | ||||
\(206\) | 121.729 | + | 33.6819i | 0.590918 | + | 0.163504i | ||||
\(207\) | −78.2029 | + | 224.429i | −0.377792 | + | 1.08420i | ||||
\(208\) | −128.205 | − | 169.309i | −0.616370 | − | 0.813984i | ||||
\(209\) | −285.642 | + | 207.531i | −1.36671 | + | 0.992970i | ||||
\(210\) | 146.621 | + | 290.700i | 0.698194 | + | 1.38429i | ||||
\(211\) | −94.3058 | + | 129.801i | −0.446947 | + | 0.615169i | −0.971738 | − | 0.236061i | \(-0.924143\pi\) |
0.524791 | + | 0.851231i | \(0.324143\pi\) | |||||||
\(212\) | −14.6013 | + | 212.377i | −0.0688742 | + | 1.00178i | ||||
\(213\) | 288.219 | + | 251.479i | 1.35314 | + | 1.18065i | ||||
\(214\) | −93.7905 | + | 141.882i | −0.438273 | + | 0.663000i | ||||
\(215\) | 19.9836 | − | 71.2711i | 0.0929470 | − | 0.331494i | ||||
\(216\) | −171.859 | + | 130.845i | −0.795644 | + | 0.605765i | ||||
\(217\) | 497.081 | − | 253.275i | 2.29070 | − | 1.16717i | ||||
\(218\) | 95.6138 | − | 104.467i | 0.438595 | − | 0.479205i | ||||
\(219\) | −277.907 | + | 232.321i | −1.26898 | + | 1.06083i | ||||
\(220\) | −69.0938 | − | 234.699i | −0.314063 | − | 1.06681i | ||||
\(221\) | −13.6472 | + | 4.43424i | −0.0617519 | + | 0.0200644i | ||||
\(222\) | −61.1589 | − | 92.6538i | −0.275490 | − | 0.417360i | ||||
\(223\) | 12.9186 | + | 81.5646i | 0.0579308 | + | 0.365760i | 0.999575 | + | 0.0291507i | \(0.00928028\pi\) |
−0.941644 | + | 0.336610i | \(0.890720\pi\) | |||||||
\(224\) | 338.835 | − | 76.1576i | 1.51266 | − | 0.339989i | ||||
\(225\) | 114.071 | + | 193.940i | 0.506984 | + | 0.861955i | ||||
\(226\) | −8.62734 | − | 194.983i | −0.0381741 | − | 0.862756i | ||||
\(227\) | −9.36062 | − | 59.1007i | −0.0412362 | − | 0.260355i | 0.958454 | − | 0.285247i | \(-0.0920758\pi\) |
−0.999690 | + | 0.0248921i | \(0.992076\pi\) | |||||||
\(228\) | −203.391 | − | 280.341i | −0.892067 | − | 1.22956i | ||||
\(229\) | 67.9945 | − | 22.0928i | 0.296919 | − | 0.0964749i | −0.156769 | − | 0.987635i | \(-0.550108\pi\) |
0.453688 | + | 0.891160i | \(0.350108\pi\) | |||||||
\(230\) | 170.198 | − | 201.906i | 0.739989 | − | 0.877851i | ||||
\(231\) | 305.572 | − | 255.448i | 1.32282 | − | 1.10584i | ||||
\(232\) | 9.86366 | − | 12.9014i | 0.0425158 | − | 0.0556093i | ||||
\(233\) | −142.916 | + | 72.8194i | −0.613374 | + | 0.312530i | −0.732936 | − | 0.680297i | \(-0.761851\pi\) |
0.119563 | + | 0.992827i | \(0.461851\pi\) | |||||||
\(234\) | 103.525 | − | 215.325i | 0.442414 | − | 0.920191i | ||||
\(235\) | −307.863 | + | 12.5648i | −1.31006 | + | 0.0534671i | ||||
\(236\) | 199.084 | + | 119.305i | 0.843576 | + | 0.505530i | ||||
\(237\) | 135.120 | + | 117.895i | 0.570126 | + | 0.497449i | ||||
\(238\) | 2.64273 | − | 23.3162i | 0.0111039 | − | 0.0979670i | ||||
\(239\) | −40.8692 | + | 56.2516i | −0.171001 | + | 0.235362i | −0.885913 | − | 0.463852i | \(-0.846467\pi\) |
0.714912 | + | 0.699215i | \(0.246467\pi\) | |||||||
\(240\) | 230.276 | − | 67.6235i | 0.959484 | − | 0.281765i | ||||
\(241\) | −42.7012 | + | 31.0242i | −0.177183 | + | 0.128731i | −0.672842 | − | 0.739786i | \(-0.734927\pi\) |
0.495659 | + | 0.868517i | \(0.334927\pi\) | |||||||
\(242\) | −49.8435 | + | 28.2386i | −0.205965 | + | 0.116688i | ||||
\(243\) | −219.278 | − | 104.720i | −0.902377 | − | 0.430947i | ||||
\(244\) | 258.888 | + | 59.4504i | 1.06102 | + | 0.243649i | ||||
\(245\) | 299.805 | − | 168.498i | 1.22370 | − | 0.687748i | ||||
\(246\) | −4.28109 | + | 20.9076i | −0.0174028 | + | 0.0849904i | ||||
\(247\) | 341.345 | + | 173.924i | 1.38196 | + | 0.704145i | ||||
\(248\) | −117.490 | − | 394.101i | −0.473750 | − | 1.58912i | ||||
\(249\) | −183.622 | − | 115.210i | −0.737437 | − | 0.462693i | ||||
\(250\) | −41.4547 | − | 246.539i | −0.165819 | − | 0.986156i | ||||
\(251\) | −177.689 | −0.707926 | −0.353963 | − | 0.935260i | \(-0.615166\pi\) | ||||
−0.353963 | + | 0.935260i | \(0.615166\pi\) | |||||||
\(252\) | 250.383 | + | 299.923i | 0.993584 | + | 1.19017i | ||||
\(253\) | −287.826 | − | 146.654i | −1.13765 | − | 0.579662i | ||||
\(254\) | 67.6856 | + | 180.711i | 0.266479 | + | 0.711461i | ||||
\(255\) | 0.783233 | − | 16.1973i | 0.00307150 | − | 0.0635189i | ||||
\(256\) | −10.1306 | − | 255.799i | −0.0395728 | − | 0.999217i | ||||
\(257\) | 78.0647 | − | 78.0647i | 0.303754 | − | 0.303754i | −0.538727 | − | 0.842480i | \(-0.681095\pi\) |
0.842480 | + | 0.538727i | \(0.181095\pi\) | |||||||
\(258\) | 3.98600 | − | 88.7342i | 0.0154496 | − | 0.343931i | ||||
\(259\) | −162.458 | + | 118.033i | −0.627253 | + | 0.455726i | ||||
\(260\) | −192.867 | + | 182.412i | −0.741797 | + | 0.701583i | ||||
\(261\) | 17.9806 | + | 3.23880i | 0.0688912 | + | 0.0124092i | ||||
\(262\) | −246.902 | − | 27.9848i | −0.942376 | − | 0.106812i | ||||
\(263\) | −50.0144 | + | 315.779i | −0.190169 | + | 1.20068i | 0.689212 | + | 0.724560i | \(0.257957\pi\) |
−0.879381 | + | 0.476119i | \(0.842043\pi\) | |||||||
\(264\) | −144.548 | − | 255.540i | −0.547529 | − | 0.967954i | ||||
\(265\) | 265.876 | − | 10.8512i | 1.00331 | − | 0.0409477i | ||||
\(266\) | −490.058 | + | 390.277i | −1.84232 | + | 1.46721i | ||||
\(267\) | −27.6606 | − | 2.47133i | −0.103598 | − | 0.00925592i | ||||
\(268\) | 278.583 | + | 233.205i | 1.03949 | + | 0.870167i | ||||
\(269\) | 103.604 | − | 318.859i | 0.385144 | − | 1.18535i | −0.551233 | − | 0.834352i | \(-0.685842\pi\) |
0.936376 | − | 0.350998i | \(-0.114158\pi\) | |||||||
\(270\) | 186.040 | + | 195.676i | 0.689038 | + | 0.724725i | ||||
\(271\) | 245.035 | − | 79.6166i | 0.904187 | − | 0.293788i | 0.180223 | − | 0.983626i | \(-0.442318\pi\) |
0.723964 | + | 0.689838i | \(0.242318\pi\) | |||||||
\(272\) | −16.5533 | − | 5.01855i | −0.0608577 | − | 0.0184506i | ||||
\(273\) | −397.488 | − | 169.589i | −1.45600 | − | 0.621203i | ||||
\(274\) | 36.0076 | − | 1.59322i | 0.131415 | − | 0.00581466i | ||||
\(275\) | −282.186 | + | 117.892i | −1.02613 | + | 0.428697i | ||||
\(276\) | 144.052 | − | 282.249i | 0.521929 | − | 1.02264i | ||||
\(277\) | 53.2473 | + | 336.190i | 0.192228 | + | 1.21368i | 0.875391 | + | 0.483416i | \(0.160604\pi\) |
−0.683162 | + | 0.730267i | \(0.739396\pi\) | |||||||
\(278\) | 23.7730 | − | 52.2459i | 0.0855143 | − | 0.187935i | ||||
\(279\) | 333.981 | − | 320.153i | 1.19707 | − | 1.14750i | ||||
\(280\) | −140.885 | − | 410.613i | −0.503162 | − | 1.46647i | ||||
\(281\) | −91.5832 | − | 29.7572i | −0.325919 | − | 0.105898i | 0.141487 | − | 0.989940i | \(-0.454812\pi\) |
−0.467406 | + | 0.884043i | \(0.654812\pi\) | |||||||
\(282\) | −356.420 | + | 98.3617i | −1.26390 | + | 0.348800i | ||||
\(283\) | −163.167 | + | 83.1378i | −0.576562 | + | 0.293773i | −0.717853 | − | 0.696195i | \(-0.754875\pi\) |
0.141290 | + | 0.989968i | \(0.454875\pi\) | |||||||
\(284\) | −335.046 | − | 384.518i | −1.17974 | − | 1.35394i | ||||
\(285\) | −320.563 | + | 290.990i | −1.12478 | + | 1.02102i | ||||
\(286\) | 270.901 | + | 179.078i | 0.947207 | + | 0.626147i | ||||
\(287\) | 38.1270 | + | 6.03872i | 0.132847 | + | 0.0210408i | ||||
\(288\) | 250.770 | − | 141.627i | 0.870730 | − | 0.491761i | ||||
\(289\) | 169.183 | − | 232.860i | 0.585408 | − | 0.805745i | ||||
\(290\) | −17.3768 | − | 10.4945i | −0.0599200 | − | 0.0361880i | ||||
\(291\) | −23.9239 | − | 351.428i | −0.0822127 | − | 1.20766i | ||||
\(292\) | 409.277 | − | 256.411i | 1.40164 | − | 0.878119i | ||||
\(293\) | 351.577 | + | 351.577i | 1.19992 | + | 1.19992i | 0.974190 | + | 0.225730i | \(0.0724768\pi\) |
0.225730 | + | 0.974190i | \(0.427523\pi\) | |||||||
\(294\) | 304.620 | − | 278.429i | 1.03612 | − | 0.947037i | ||||
\(295\) | 121.060 | − | 263.654i | 0.410374 | − | 0.893741i | ||||
\(296\) | 63.9605 | + | 133.493i | 0.216083 | + | 0.450990i | ||||
\(297\) | 181.415 | − | 276.005i | 0.610827 | − | 0.929308i | ||||
\(298\) | 29.1930 | + | 143.060i | 0.0979633 | + | 0.480068i | ||||
\(299\) | 350.507i | 1.17227i | ||||||||
\(300\) | −115.461 | − | 276.891i | −0.384870 | − | 0.922971i | ||||
\(301\) | −160.664 | −0.533766 | ||||||||
\(302\) | −36.3875 | + | 7.42527i | −0.120488 | + | 0.0245870i | ||||
\(303\) | 38.7741 | + | 64.8010i | 0.127967 | + | 0.213865i | ||||
\(304\) | 217.755 | + | 407.238i | 0.716300 | + | 1.33960i | ||||
\(305\) | 38.5250 | − | 329.791i | 0.126311 | − | 1.08128i | ||||
\(306\) | −3.48690 | − | 19.1445i | −0.0113951 | − | 0.0625638i | ||||
\(307\) | 402.528 | − | 402.528i | 1.31117 | − | 1.31117i | 0.390610 | − | 0.920556i | \(-0.372264\pi\) |
0.920556 | − | 0.390610i | \(-0.127736\pi\) | |||||||
\(308\) | −450.020 | + | 281.936i | −1.46110 | + | 0.915376i | ||||
\(309\) | −12.8676 | − | 189.017i | −0.0416426 | − | 0.611706i | ||||
\(310\) | −473.639 | + | 199.787i | −1.52787 | + | 0.644473i | ||||
\(311\) | 151.225 | + | 109.871i | 0.486253 | + | 0.353283i | 0.803741 | − | 0.594979i | \(-0.202840\pi\) |
−0.317489 | + | 0.948262i | \(0.602840\pi\) | |||||||
\(312\) | −175.847 | + | 265.626i | −0.563614 | + | 0.851364i | ||||
\(313\) | −70.2201 | + | 443.352i | −0.224345 | + | 1.41646i | 0.576259 | + | 0.817267i | \(0.304512\pi\) |
−0.800604 | + | 0.599193i | \(0.795488\pi\) | |||||||
\(314\) | 49.4538 | − | 74.8116i | 0.157496 | − | 0.238254i | ||||
\(315\) | 338.479 | − | 352.052i | 1.07454 | − | 1.11763i | ||||
\(316\) | −157.073 | − | 180.265i | −0.497066 | − | 0.570460i | ||||
\(317\) | −112.318 | − | 220.436i | −0.354314 | − | 0.695381i | 0.643211 | − | 0.765689i | \(-0.277602\pi\) |
−0.997525 | + | 0.0703082i | \(0.977602\pi\) | |||||||
\(318\) | 307.811 | − | 84.9468i | 0.967958 | − | 0.267128i | ||||
\(319\) | −7.67373 | + | 23.6173i | −0.0240556 | + | 0.0740355i | ||||
\(320\) | −316.454 | + | 47.5093i | −0.988917 | + | 0.148466i | ||||
\(321\) | 247.428 | + | 62.1749i | 0.770802 | + | 0.193691i | ||||
\(322\) | −521.709 | − | 237.388i | −1.62021 | − | 0.737230i | ||||
\(323\) | 30.8187 | − | 4.88120i | 0.0954138 | − | 0.0151121i | ||||
\(324\) | 270.630 | + | 178.144i | 0.835279 | + | 0.549827i | ||||
\(325\) | 252.981 | + | 214.739i | 0.778402 | + | 0.660736i | ||||
\(326\) | 11.5666 | + | 261.413i | 0.0354805 | + | 0.801880i | ||||
\(327\) | −195.385 | − | 83.3611i | −0.597508 | − | 0.254927i | ||||
\(328\) | 9.45150 | − | 26.8397i | 0.0288155 | − | 0.0818284i | ||||
\(329\) | 206.667 | + | 636.057i | 0.628168 | + | 1.93330i | ||||
\(330\) | −297.780 | + | 214.490i | −0.902365 | + | 0.649970i | ||||
\(331\) | 79.7032 | + | 25.8971i | 0.240795 | + | 0.0782391i | 0.426928 | − | 0.904285i | \(-0.359596\pi\) |
−0.186133 | + | 0.982525i | \(0.559596\pi\) | |||||||
\(332\) | 221.627 | + | 185.526i | 0.667552 | + | 0.558814i | ||||
\(333\) | −100.708 | + | 132.625i | −0.302427 | + | 0.398273i | ||||
\(334\) | 176.363 | + | 221.453i | 0.528033 | + | 0.663033i | ||||
\(335\) | 251.730 | − | 377.983i | 0.751433 | − | 1.12831i | ||||
\(336\) | −276.271 | − | 441.638i | −0.822236 | − | 1.31440i | ||||
\(337\) | −148.573 | − | 23.5316i | −0.440868 | − | 0.0698267i | −0.0679455 | − | 0.997689i | \(-0.521644\pi\) |
−0.372923 | + | 0.927862i | \(0.621644\pi\) | |||||||
\(338\) | 1.61713 | − | 14.2675i | 0.00478440 | − | 0.0422116i | ||||
\(339\) | −271.644 | + | 109.170i | −0.801311 | + | 0.322035i | ||||
\(340\) | −3.97581 | + | 21.2530i | −0.0116936 | + | 0.0625087i | ||||
\(341\) | 369.619 | + | 508.736i | 1.08393 | + | 1.49190i | ||||
\(342\) | −295.588 | + | 427.241i | −0.864293 | + | 1.24924i | ||||
\(343\) | −151.810 | − | 151.810i | −0.442595 | − | 0.442595i | ||||
\(344\) | −21.3782 | + | 116.486i | −0.0621459 | + | 0.338622i | ||||
\(345\) | −370.367 | − | 140.456i | −1.07353 | − | 0.407118i | ||||
\(346\) | −339.096 | + | 127.009i | −0.980046 | + | 0.367077i | ||||
\(347\) | −133.006 | + | 261.038i | −0.383302 | + | 0.752272i | −0.999373 | − | 0.0354187i | \(-0.988724\pi\) |
0.616071 | + | 0.787691i | \(0.288724\pi\) | |||||||
\(348\) | −23.1626 | − | 7.54323i | −0.0665593 | − | 0.0216759i | ||||
\(349\) | − | 232.610i | − | 0.666505i | −0.942838 | − | 0.333252i | \(-0.891854\pi\) | ||
0.942838 | − | 0.333252i | \(-0.108146\pi\) | |||||||
\(350\) | −490.962 | + | 231.110i | −1.40275 | + | 0.660314i | ||||
\(351\) | −356.202 | − | 39.4295i | −1.01482 | − | 0.112335i | ||||
\(352\) | 144.532 | + | 363.793i | 0.410601 | + | 1.03350i | ||||
\(353\) | 246.687 | − | 484.151i | 0.698830 | − | 1.37153i | −0.219459 | − | 0.975622i | \(-0.570429\pi\) |
0.918289 | − | 0.395910i | \(-0.129571\pi\) | |||||||
\(354\) | 69.8373 | − | 341.066i | 0.197281 | − | 0.963463i | ||||
\(355\) | −432.031 | + | 468.797i | −1.21699 | + | 1.32055i | ||||
\(356\) | 36.0883 | + | 8.28722i | 0.101372 | + | 0.0232787i | ||||
\(357\) | −34.3106 | + | 7.85468i | −0.0961080 | + | 0.0220019i | ||||
\(358\) | −47.5633 | − | 83.9533i | −0.132858 | − | 0.234506i | ||||
\(359\) | 51.9852 | + | 71.5515i | 0.144806 | + | 0.199308i | 0.875259 | − | 0.483655i | \(-0.160691\pi\) |
−0.730453 | + | 0.682963i | \(0.760691\pi\) | |||||||
\(360\) | −210.210 | − | 292.253i | −0.583917 | − | 0.811813i | ||||
\(361\) | −381.895 | − | 277.463i | −1.05788 | − | 0.768595i | ||||
\(362\) | −444.024 | − | 50.3273i | −1.22659 | − | 0.139026i | ||||
\(363\) | 64.7485 | + | 56.4947i | 0.178371 | + | 0.155633i | ||||
\(364\) | 494.251 | + | 296.190i | 1.35783 | + | 0.813709i | ||||
\(365\) | −374.471 | − | 473.531i | −1.02595 | − | 1.29735i | ||||
\(366\) | −44.6069 | − | 395.935i | −0.121877 | − | 1.08179i | ||||
\(367\) | 77.5682 | + | 152.236i | 0.211358 | + | 0.414813i | 0.972209 | − | 0.234113i | \(-0.0752186\pi\) |
−0.760852 | + | 0.648926i | \(0.775219\pi\) | |||||||
\(368\) | −241.533 | + | 346.668i | −0.656340 | + | 0.942032i | ||||
\(369\) | 31.7168 | − | 4.33843i | 0.0859534 | − | 0.0117572i | ||||
\(370\) | 157.136 | − | 97.6969i | 0.424693 | − | 0.264046i | ||||
\(371\) | −178.481 | − | 549.309i | −0.481082 | − | 1.48062i | ||||
\(372\) | −499.295 | + | 362.246i | −1.34219 | + | 0.973780i | ||||
\(373\) | 519.585 | − | 82.2941i | 1.39299 | − | 0.220628i | 0.585577 | − | 0.810617i | \(-0.300868\pi\) |
0.807411 | + | 0.589989i | \(0.200868\pi\) | |||||||
\(374\) | 26.4237 | − | 1.16916i | 0.0706515 | − | 0.00312609i | ||||
\(375\) | −328.281 | + | 181.264i | −0.875416 | + | 0.483371i | ||||
\(376\) | 488.660 | − | 65.2054i | 1.29963 | − | 0.173419i | ||||
\(377\) | 26.6129 | − | 4.21508i | 0.0705914 | − | 0.0111806i | ||||
\(378\) | 299.934 | − | 503.481i | 0.793475 | − | 1.33196i | ||||
\(379\) | −193.415 | − | 595.269i | −0.510328 | − | 1.57063i | −0.791624 | − | 0.611008i | \(-0.790764\pi\) |
0.281296 | − | 0.959621i | \(-0.409236\pi\) | |||||||
\(380\) | 476.275 | − | 326.162i | 1.25335 | − | 0.858321i | ||||
\(381\) | 222.079 | − | 185.651i | 0.582885 | − | 0.487272i | ||||
\(382\) | 62.9079 | + | 57.5769i | 0.164680 | + | 0.150725i | ||||
\(383\) | 82.0101 | + | 160.954i | 0.214126 | + | 0.420245i | 0.972939 | − | 0.231063i | \(-0.0742204\pi\) |
−0.758813 | + | 0.651308i | \(0.774220\pi\) | |||||||
\(384\) | −356.963 | + | 141.540i | −0.929591 | + | 0.368594i | ||||
\(385\) | 411.748 | + | 520.670i | 1.06948 | + | 1.35239i | ||||
\(386\) | −233.140 | − | 154.116i | −0.603989 | − | 0.399264i | ||||
\(387\) | −127.556 | + | 38.4847i | −0.329603 | + | 0.0994436i | ||||
\(388\) | −32.2137 | + | 468.549i | −0.0830250 | + | 1.20760i | ||||
\(389\) | −14.9167 | − | 10.8377i | −0.0383464 | − | 0.0278603i | 0.568447 | − | 0.822720i | \(-0.307544\pi\) |
−0.606793 | + | 0.794860i | \(0.707544\pi\) | |||||||
\(390\) | 354.053 | + | 182.231i | 0.907827 | + | 0.467260i | ||||
\(391\) | 16.7802 | + | 23.0960i | 0.0429161 | + | 0.0590690i | ||||
\(392\) | −452.935 | + | 312.464i | −1.15545 | + | 0.797103i | ||||
\(393\) | 83.1758 | + | 363.326i | 0.211643 | + | 0.924493i | ||||
\(394\) | 166.711 | − | 602.507i | 0.423124 | − | 1.52921i | ||||
\(395\) | −202.540 | + | 219.776i | −0.512760 | + | 0.556395i | ||||
\(396\) | −289.753 | + | 331.634i | −0.731698 | + | 0.837460i | ||||
\(397\) | 202.765 | − | 397.949i | 0.510743 | − | 1.00239i | −0.481308 | − | 0.876552i | \(-0.659838\pi\) |
0.992051 | − | 0.125838i | \(-0.0401619\pi\) | |||||||
\(398\) | −33.5536 | − | 164.429i | −0.0843055 | − | 0.413138i | ||||
\(399\) | 796.005 | + | 499.440i | 1.99500 | + | 1.25173i | ||||
\(400\) | 102.234 | + | 386.715i | 0.255584 | + | 0.966787i | ||||
\(401\) | 294.677i | 0.734855i | 0.930052 | + | 0.367428i | \(0.119761\pi\) | ||||
−0.930052 | + | 0.367428i | \(0.880239\pi\) | |||||||
\(402\) | 191.492 | − | 510.211i | 0.476347 | − | 1.26918i | ||||
\(403\) | 309.764 | − | 607.946i | 0.768645 | − | 1.50855i | ||||
\(404\) | −39.4501 | − | 92.6372i | −0.0976487 | − | 0.229300i | ||||
\(405\) | 184.401 | − | 360.584i | 0.455312 | − | 0.890332i | ||||
\(406\) | −11.7503 | + | 42.4665i | −0.0289415 | + | 0.104597i | ||||
\(407\) | −160.051 | − | 160.051i | −0.393246 | − | 0.393246i | ||||
\(408\) | 1.12946 | + | 25.9214i | 0.00276829 | + | 0.0635328i | ||||
\(409\) | −31.0286 | − | 42.7071i | −0.0758644 | − | 0.104418i | 0.769398 | − | 0.638769i | \(-0.220556\pi\) |
−0.845263 | + | 0.534351i | \(0.820556\pi\) | |||||||
\(410\) | −34.6393 | − | 8.07955i | −0.0844860 | − | 0.0197062i | ||||
\(411\) | −20.1605 | − | 50.1647i | −0.0490522 | − | 0.122055i | ||||
\(412\) | −17.3263 | + | 252.011i | −0.0420541 | + | 0.611678i | ||||
\(413\) | −621.965 | − | 98.5095i | −1.50597 | − | 0.238522i | ||||
\(414\) | −471.066 | − | 63.5027i | −1.13784 | − | 0.153388i | ||||
\(415\) | 200.264 | − | 300.705i | 0.482564 | − | 0.724590i | ||||
\(416\) | 280.513 | − | 318.936i | 0.674310 | − | 0.766673i | ||||
\(417\) | −85.7588 | − | 7.66211i | −0.205657 | − | 0.0183744i | ||||
\(418\) | −520.903 | − | 476.760i | −1.24618 | − | 1.14057i | ||||
\(419\) | −59.9624 | − | 19.4830i | −0.143108 | − | 0.0464987i | 0.236587 | − | 0.971610i | \(-0.423971\pi\) |
−0.379695 | + | 0.925112i | \(0.623971\pi\) | |||||||
\(420\) | −511.029 | + | 403.566i | −1.21674 | + | 0.960871i | ||||
\(421\) | −218.003 | − | 670.945i | −0.517823 | − | 1.59369i | −0.778087 | − | 0.628157i | \(-0.783810\pi\) |
0.260264 | − | 0.965538i | \(-0.416190\pi\) | |||||||
\(422\) | −292.071 | − | 132.898i | −0.692111 | − | 0.314925i | ||||
\(423\) | 316.439 | + | 455.483i | 0.748082 | + | 1.07679i | ||||
\(424\) | −422.015 | + | 56.3125i | −0.995319 | + | 0.132812i | ||||
\(425\) | 26.9501 | + | 2.03859i | 0.0634119 | + | 0.00479667i | ||||
\(426\) | −377.548 | + | 665.360i | −0.886263 | + | 1.56188i | ||||
\(427\) | −711.822 | + | 112.742i | −1.66703 | + | 0.264032i | ||||
\(428\) | −315.539 | − | 127.057i | −0.737242 | − | 0.296863i | ||||
\(429\) | 118.713 | − | 472.424i | 0.276720 | − | 1.10122i | ||||
\(430\) | 147.655 | + | 10.6602i | 0.343384 | + | 0.0247912i | ||||
\(431\) | 223.406 | − | 687.573i | 0.518344 | − | 1.59530i | −0.258771 | − | 0.965939i | \(-0.583317\pi\) |
0.777115 | − | 0.629359i | \(-0.216683\pi\) | |||||||
\(432\) | −325.130 | − | 284.455i | −0.752615 | − | 0.658461i | ||||
\(433\) | −239.393 | − | 469.835i | −0.552870 | − | 1.08507i | −0.983223 | − | 0.182408i | \(-0.941611\pi\) |
0.430353 | − | 0.902661i | \(-0.358389\pi\) | |||||||
\(434\) | 695.096 | + | 872.808i | 1.60160 | + | 2.01108i | ||||
\(435\) | −6.21047 | + | 29.8099i | −0.0142769 | + | 0.0685285i | ||||
\(436\) | 242.949 | + | 145.592i | 0.557222 | + | 0.333927i | ||||
\(437\) | 119.230 | − | 752.791i | 0.272838 | − | 1.72263i | ||||
\(438\) | −566.390 | − | 451.691i | −1.29313 | − | 1.03126i | ||||
\(439\) | −174.402 | − | 126.710i | −0.397271 | − | 0.288634i | 0.371158 | − | 0.928570i | \(-0.378961\pi\) |
−0.768428 | + | 0.639936i | \(0.778961\pi\) | |||||||
\(440\) | 432.290 | − | 229.249i | 0.982477 | − | 0.521020i | ||||
\(441\) | −545.506 | − | 292.633i | −1.23697 | − | 0.663568i | ||||
\(442\) | −14.1467 | − | 24.9701i | −0.0320060 | − | 0.0564933i | ||||
\(443\) | −364.946 | + | 364.946i | −0.823805 | + | 0.823805i | −0.986651 | − | 0.162846i | \(-0.947933\pi\) |
0.162846 | + | 0.986651i | \(0.447933\pi\) | |||||||
\(444\) | 157.110 | − | 156.898i | 0.353851 | − | 0.353375i | ||||
\(445\) | 5.37028 | − | 45.9720i | 0.0120681 | − | 0.103308i | ||||
\(446\) | −154.669 | + | 57.9316i | −0.346792 | + | 0.129891i | ||||
\(447\) | 187.938 | − | 112.454i | 0.420443 | − | 0.251575i | ||||
\(448\) | 284.733 | + | 633.532i | 0.635566 | + | 1.41413i | ||||
\(449\) | 373.338 | 0.831488 | 0.415744 | − | 0.909482i | \(-0.363521\pi\) | ||||
0.415744 | + | 0.909482i | \(0.363521\pi\) | |||||||
\(450\) | −334.433 | + | 301.089i | −0.743184 | + | 0.669087i | ||||
\(451\) | 43.5112i | 0.0964772i | ||||||||
\(452\) | 378.642 | − | 94.8763i | 0.837703 | − | 0.209903i | ||||
\(453\) | 28.6027 | + | 47.8022i | 0.0631407 | + | 0.105524i | ||||
\(454\) | 112.071 | − | 41.9765i | 0.246853 | − | 0.0924592i | ||||
\(455\) | 300.548 | − | 654.554i | 0.660545 | − | 1.43858i | ||||
\(456\) | 468.027 | − | 510.672i | 1.02638 | − | 1.11989i | ||||
\(457\) | 383.391 | + | 383.391i | 0.838930 | + | 0.838930i | 0.988718 | − | 0.149788i | \(-0.0478590\pi\) |
−0.149788 | + | 0.988718i | \(0.547859\pi\) | |||||||
\(458\) | 70.4831 | + | 124.409i | 0.153893 | + | 0.271635i | ||||
\(459\) | −25.3589 | + | 14.4547i | −0.0552481 | + | 0.0314918i | ||||
\(460\) | 463.717 | + | 252.784i | 1.00808 | + | 0.549529i | ||||
\(461\) | −227.473 | + | 313.090i | −0.493434 | + | 0.679153i | −0.981017 | − | 0.193924i | \(-0.937879\pi\) |
0.487583 | + | 0.873077i | \(0.337879\pi\) | |||||||
\(462\) | 622.773 | + | 496.655i | 1.34799 | + | 1.07501i | ||||
\(463\) | 633.773 | + | 100.380i | 1.36884 | + | 0.216803i | 0.797207 | − | 0.603706i | \(-0.206310\pi\) |
0.571634 | + | 0.820509i | \(0.306310\pi\) | |||||||
\(464\) | 29.2260 | + | 14.1700i | 0.0629871 | + | 0.0305387i | ||||
\(465\) | 518.263 | + | 570.932i | 1.11454 | + | 1.22781i | ||||
\(466\) | −199.848 | − | 250.942i | −0.428857 | − | 0.538501i | ||||
\(467\) | 488.553 | − | 248.930i | 1.04615 | − | 0.533041i | 0.155551 | − | 0.987828i | \(-0.450285\pi\) |
0.890600 | + | 0.454787i | \(0.150285\pi\) | |||||||
\(468\) | 463.351 | + | 116.765i | 0.990067 | + | 0.249497i | ||||
\(469\) | −937.480 | − | 304.606i | −1.99889 | − | 0.649479i | ||||
\(470\) | −147.731 | − | 598.270i | −0.314321 | − | 1.27291i | ||||
\(471\) | −130.464 | − | 32.7836i | −0.276993 | − | 0.0696042i | ||||
\(472\) | −154.182 | + | 437.836i | −0.326657 | + | 0.927618i | ||||
\(473\) | −28.3295 | − | 178.865i | −0.0598932 | − | 0.378151i | ||||
\(474\) | −176.998 | + | 311.927i | −0.373413 | + | 0.658074i | ||||
\(475\) | −470.285 | − | 547.254i | −0.990073 | − | 1.15211i | ||||
\(476\) | 46.7475 | − | 4.14495i | 0.0982090 | − | 0.00870789i | ||||
\(477\) | −273.282 | − | 393.363i | −0.572918 | − | 0.824660i | ||||
\(478\) | −126.574 | − | 57.5940i | −0.264800 | − | 0.120489i | ||||
\(479\) | −106.948 | + | 34.7494i | −0.223272 | + | 0.0725456i | −0.418517 | − | 0.908209i | \(-0.637450\pi\) |
0.195244 | + | 0.980755i | \(0.437450\pi\) | |||||||
\(480\) | 224.599 | + | 424.211i | 0.467915 | + | 0.883773i | ||||
\(481\) | −75.8935 | + | 233.576i | −0.157783 | + | 0.485605i | ||||
\(482\) | −77.8710 | − | 71.2719i | −0.161558 | − | 0.147867i | ||||
\(483\) | −76.5110 | + | 856.356i | −0.158408 | + | 1.77299i | ||||
\(484\) | −75.2682 | − | 86.3820i | −0.155513 | − | 0.178475i | ||||
\(485\) | 586.581 | − | 23.9400i | 1.20944 | − | 0.0493608i | ||||
\(486\) | 117.526 | − | 471.576i | 0.241823 | − | 0.970320i | ||||
\(487\) | −137.679 | + | 869.272i | −0.282709 | + | 1.78495i | 0.281747 | + | 0.959489i | \(0.409086\pi\) |
−0.564455 | + | 0.825464i | \(0.690914\pi\) | |||||||
\(488\) | −12.9752 | + | 531.095i | −0.0265886 | + | 1.08831i | ||||
\(489\) | 364.192 | − | 146.364i | 0.744770 | − | 0.299312i | ||||
\(490\) | 450.079 | + | 520.124i | 0.918528 | + | 1.06148i | ||||
\(491\) | −409.475 | + | 297.501i | −0.833962 | + | 0.605909i | −0.920677 | − | 0.390325i | \(-0.872363\pi\) |
0.0867158 | + | 0.996233i | \(0.472363\pi\) | |||||||
\(492\) | −42.6828 | − | 0.0287118i | −0.0867538 | − | 5.83573e-5i | ||||
\(493\) | 1.55181 | − | 1.55181i | 0.00314769 | − | 0.00314769i | ||||
\(494\) | −204.327 | + | 738.454i | −0.413617 | + | 1.49485i | ||||
\(495\) | 451.620 | + | 314.749i | 0.912364 | + | 0.635857i | ||||
\(496\) | 725.304 | − | 387.829i | 1.46231 | − | 0.781913i | ||||
\(497\) | 1232.93 | + | 628.210i | 2.48075 | + | 1.26400i | ||||
\(498\) | 152.341 | − | 405.899i | 0.305906 | − | 0.815058i | ||||
\(499\) | 525.519 | 1.05314 | 0.526572 | − | 0.850130i | \(-0.323477\pi\) | ||||
0.526572 | + | 0.850130i | \(0.323477\pi\) | |||||||
\(500\) | 466.545 | − | 179.822i | 0.933090 | − | 0.359643i | ||||
\(501\) | 225.693 | − | 359.708i | 0.450484 | − | 0.717980i | ||||
\(502\) | −71.0547 | − | 348.203i | −0.141543 | − | 0.693631i | ||||
\(503\) | 259.568 | + | 132.256i | 0.516039 | + | 0.262935i | 0.692558 | − | 0.721362i | \(-0.256484\pi\) |
−0.176519 | + | 0.984297i | \(0.556484\pi\) | |||||||
\(504\) | −487.611 | + | 610.589i | −0.967482 | + | 1.21149i | ||||
\(505\) | −109.718 | + | 61.6644i | −0.217264 | + | 0.122108i | ||||
\(506\) | 172.290 | − | 622.672i | 0.340495 | − | 1.23058i | ||||
\(507\) | −20.9951 | + | 4.80640i | −0.0414106 | + | 0.00948008i | ||||
\(508\) | −327.058 | + | 204.901i | −0.643816 | + | 0.403348i | ||||
\(509\) | −496.436 | + | 360.682i | −0.975316 | + | 0.708609i | −0.956657 | − | 0.291217i | \(-0.905940\pi\) |
−0.0186591 | + | 0.999826i | \(0.505940\pi\) | |||||||
\(510\) | 32.0537 | − | 4.94217i | 0.0628504 | − | 0.00969053i | ||||
\(511\) | −770.218 | + | 1060.11i | −1.50728 | + | 2.07459i | ||||
\(512\) | 497.218 | − | 122.142i | 0.971128 | − | 0.238558i | ||||
\(513\) | 751.610 | + | 205.851i | 1.46513 | + | 0.401269i | ||||
\(514\) | 184.193 | + | 121.760i | 0.358353 | + | 0.236888i | ||||
\(515\) | 315.495 | − | 12.8762i | 0.612612 | − | 0.0250024i | ||||
\(516\) | 175.479 | − | 27.6721i | 0.340075 | − | 0.0536281i | ||||
\(517\) | −671.675 | + | 342.236i | −1.29918 | + | 0.661964i | ||||
\(518\) | −296.263 | − | 271.157i | −0.571937 | − | 0.523469i | ||||
\(519\) | 348.364 | + | 416.721i | 0.671222 | + | 0.802930i | ||||
\(520\) | −434.581 | − | 305.003i | −0.835732 | − | 0.586544i | ||||
\(521\) | 325.268 | − | 105.686i | 0.624315 | − | 0.202852i | 0.0202601 | − | 0.999795i | \(-0.493551\pi\) |
0.604055 | + | 0.796942i | \(0.293551\pi\) | |||||||
\(522\) | 0.843298 | + | 36.5302i | 0.00161551 | + | 0.0699813i | ||||
\(523\) | 46.6602 | + | 294.601i | 0.0892165 | + | 0.563291i | 0.991289 | + | 0.131706i | \(0.0420455\pi\) |
−0.902072 | + | 0.431585i | \(0.857954\pi\) | |||||||
\(524\) | −43.8923 | − | 495.024i | −0.0837639 | − | 0.944703i | ||||
\(525\) | 571.205 | + | 579.871i | 1.08801 | + | 1.10452i | ||||
\(526\) | −638.805 | + | 28.2650i | −1.21446 | + | 0.0537357i | ||||
\(527\) | −8.69356 | − | 54.8890i | −0.0164963 | − | 0.104154i | ||||
\(528\) | 442.958 | − | 385.444i | 0.838935 | − | 0.730007i | ||||
\(529\) | 160.093 | − | 52.0173i | 0.302633 | − | 0.0983314i | ||||
\(530\) | 127.583 | + | 516.676i | 0.240723 | + | 0.974860i | ||||
\(531\) | −517.396 | + | 70.7727i | −0.974380 | + | 0.133282i | ||||
\(532\) | −960.759 | − | 804.260i | −1.80594 | − | 1.51177i | ||||
\(533\) | 42.0659 | − | 21.4337i | 0.0789230 | − | 0.0402133i | ||||
\(534\) | −6.21809 | − | 55.1923i | −0.0116444 | − | 0.103356i | ||||
\(535\) | −114.794 | + | 409.411i | −0.214568 | + | 0.765254i | ||||
\(536\) | −345.591 | + | 639.171i | −0.644760 | + | 1.19248i | ||||
\(537\) | −95.1563 | + | 109.058i | −0.177200 | + | 0.203088i | ||||
\(538\) | 666.271 | + | 75.5174i | 1.23842 | + | 0.140367i | ||||
\(539\) | 494.566 | − | 680.711i | 0.917562 | − | 1.26292i | ||||
\(540\) | −309.055 | + | 442.815i | −0.572325 | + | 0.820027i | ||||
\(541\) | 358.880 | − | 260.742i | 0.663365 | − | 0.481963i | −0.204433 | − | 0.978881i | \(-0.565535\pi\) |
0.867798 | + | 0.496918i | \(0.165535\pi\) | |||||||
\(542\) | 254.003 | + | 448.337i | 0.468640 | + | 0.827189i | ||||
\(543\) | 149.582 | + | 653.398i | 0.275473 | + | 1.20331i | ||||
\(544\) | 3.21509 | − | 34.4449i | 0.00591008 | − | 0.0633179i | ||||
\(545\) | 147.734 | − | 321.746i | 0.271072 | − | 0.590359i | ||||
\(546\) | 173.380 | − | 846.740i | 0.317546 | − | 1.55081i | ||||
\(547\) | 664.351 | + | 338.504i | 1.21454 | + | 0.618837i | 0.939484 | − | 0.342593i | \(-0.111305\pi\) |
0.275052 | + | 0.961429i | \(0.411305\pi\) | |||||||
\(548\) | 17.5209 | + | 69.9240i | 0.0319724 | + | 0.127599i | ||||
\(549\) | −538.135 | + | 260.016i | −0.980209 | + | 0.473618i | ||||
\(550\) | −343.863 | − | 505.833i | −0.625206 | − | 0.919696i | ||||
\(551\) | −58.5909 | −0.106336 | ||||||||
\(552\) | 610.704 | + | 169.421i | 1.10635 | + | 0.306922i | ||||
\(553\) | 578.010 | + | 294.511i | 1.04523 | + | 0.532569i | ||||
\(554\) | −637.511 | + | 238.780i | −1.15074 | + | 0.431012i | ||||
\(555\) | −216.398 | − | 173.793i | −0.389907 | − | 0.313140i | ||||
\(556\) | 111.888 | + | 25.6937i | 0.201238 | + | 0.0462117i | ||||
\(557\) | −325.859 | + | 325.859i | −0.585025 | + | 0.585025i | −0.936280 | − | 0.351255i | \(-0.885755\pi\) |
0.351255 | + | 0.936280i | \(0.385755\pi\) | |||||||
\(558\) | 760.930 | + | 526.452i | 1.36367 | + | 0.943462i | ||||
\(559\) | −158.969 | + | 115.498i | −0.284381 | + | 0.206615i | ||||
\(560\) | 748.306 | − | 440.277i | 1.33626 | − | 0.786210i | ||||
\(561\) | −14.7945 | − | 36.8127i | −0.0263716 | − | 0.0656197i | ||||
\(562\) | 21.6902 | − | 191.367i | 0.0385947 | − | 0.340511i | ||||
\(563\) | 174.913 | − | 1104.36i | 0.310681 | − | 1.96156i | 0.0387318 | − | 0.999250i | \(-0.487668\pi\) |
0.271949 | − | 0.962312i | \(-0.412332\pi\) | |||||||
\(564\) | −335.277 | − | 659.114i | −0.594463 | − | 1.16864i | ||||
\(565\) | −169.578 | − | 457.518i | −0.300138 | − | 0.809767i | ||||
\(566\) | −228.166 | − | 286.500i | −0.403120 | − | 0.506183i | ||||
\(567\) | −861.663 | − | 174.088i | −1.51969 | − | 0.307033i | ||||
\(568\) | 619.528 | − | 810.323i | 1.09072 | − | 1.42663i | ||||
\(569\) | −4.98845 | + | 15.3529i | −0.00876704 | + | 0.0269822i | −0.955344 | − | 0.295495i | \(-0.904515\pi\) |
0.946577 | + | 0.322477i | \(0.104515\pi\) | |||||||
\(570\) | −698.416 | − | 511.818i | −1.22529 | − | 0.897926i | ||||
\(571\) | −217.634 | + | 70.7136i | −0.381146 | + | 0.123842i | −0.493322 | − | 0.869847i | \(-0.664218\pi\) |
0.112177 | + | 0.993688i | \(0.464218\pi\) | |||||||
\(572\) | −242.596 | + | 602.472i | −0.424118 | + | 1.05327i | ||||
\(573\) | 50.1985 | − | 117.657i | 0.0876065 | − | 0.205336i | ||||
\(574\) | 3.41270 | + | 77.1290i | 0.00594547 | + | 0.134371i | ||||
\(575\) | 250.783 | − | 610.688i | 0.436144 | − | 1.06207i | ||||
\(576\) | 377.813 | + | 434.779i | 0.655926 | + | 0.754825i | ||||
\(577\) | 26.1312 | + | 164.986i | 0.0452880 | + | 0.285937i | 0.999930 | − | 0.0118184i | \(-0.00376199\pi\) |
−0.954642 | + | 0.297755i | \(0.903762\pi\) | |||||||
\(578\) | 523.970 | + | 238.417i | 0.906523 | + | 0.412486i | ||||
\(579\) | −102.165 | + | 406.571i | −0.176451 | + | 0.702196i | ||||
\(580\) | 13.6166 | − | 38.2484i | 0.0234769 | − | 0.0659456i | ||||
\(581\) | −745.813 | − | 242.329i | −1.28367 | − | 0.417090i | ||||
\(582\) | 679.097 | − | 187.411i | 1.16683 | − | 0.322012i | ||||
\(583\) | 580.070 | − | 295.560i | 0.994974 | − | 0.506965i | ||||
\(584\) | 666.129 | + | 699.493i | 1.14063 | + | 1.19776i | ||||
\(585\) | 81.8262 | − | 591.665i | 0.139874 | − | 1.01139i | ||||
\(586\) | −548.366 | + | 829.544i | −0.935778 | + | 1.41560i | ||||
\(587\) | −998.049 | − | 158.075i | −1.70025 | − | 0.269294i | −0.770491 | − | 0.637451i | \(-0.779989\pi\) |
−0.929763 | + | 0.368157i | \(0.879989\pi\) | |||||||
\(588\) | 667.426 | + | 485.599i | 1.13508 | + | 0.825849i | ||||
\(589\) | −872.087 | + | 1200.33i | −1.48062 | + | 2.03790i | ||||
\(590\) | 565.070 | + | 131.802i | 0.957745 | + | 0.223392i | ||||
\(591\) | −935.554 | + | 63.6890i | −1.58300 | + | 0.107765i | ||||
\(592\) | −236.019 | + | 178.720i | −0.398680 | + | 0.301891i | ||||
\(593\) | −32.6577 | − | 32.6577i | −0.0550721 | − | 0.0550721i | 0.679034 | − | 0.734106i | \(-0.262399\pi\) |
−0.734106 | + | 0.679034i | \(0.762399\pi\) | |||||||
\(594\) | 613.408 | + | 245.136i | 1.03267 | + | 0.412686i | ||||
\(595\) | −11.5322 | − | 57.5189i | −0.0193818 | − | 0.0966705i | ||||
\(596\) | −268.670 | + | 114.414i | −0.450788 | + | 0.191970i | ||||
\(597\) | −216.010 | + | 129.251i | −0.361826 | + | 0.216501i | ||||
\(598\) | −686.860 | + | 140.161i | −1.14860 | + | 0.234384i | ||||
\(599\) | − | 945.341i | − | 1.57820i | −0.614265 | − | 0.789099i | \(-0.710548\pi\) | ||
0.614265 | − | 0.789099i | \(-0.289452\pi\) | |||||||
\(600\) | 496.430 | − | 336.983i | 0.827383 | − | 0.561638i | ||||
\(601\) | −364.139 | −0.605888 | −0.302944 | − | 0.953008i | \(-0.597970\pi\) | ||||
−0.302944 | + | 0.953008i | \(0.597970\pi\) | |||||||
\(602\) | −64.2464 | − | 314.839i | −0.106722 | − | 0.522988i | ||||
\(603\) | −817.262 | − | 17.2770i | −1.35533 | − | 0.0286517i | ||||
\(604\) | −29.1014 | − | 68.3363i | −0.0481811 | − | 0.113140i | ||||
\(605\) | −97.0560 | + | 105.315i | −0.160423 | + | 0.174075i | ||||
\(606\) | −111.480 | + | 101.895i | −0.183961 | + | 0.168144i | ||||
\(607\) | 188.401 | − | 188.401i | 0.310381 | − | 0.310381i | −0.534676 | − | 0.845057i | \(-0.679566\pi\) |
0.845057 | + | 0.534676i | \(0.179566\pi\) | |||||||
\(608\) | −710.954 | + | 589.564i | −1.16933 | + | 0.969677i | ||||
\(609\) | 65.9406 | − | 4.48898i | 0.108277 | − | 0.00737107i | ||||
\(610\) | 661.669 | − | 56.3830i | 1.08470 | − | 0.0924311i | ||||
\(611\) | 661.736 | + | 480.779i | 1.08304 | + | 0.786873i | ||||
\(612\) | 36.1216 | − | 14.4885i | 0.0590222 | − | 0.0236741i | ||||
\(613\) | 49.6410 | − | 313.421i | 0.0809804 | − | 0.511290i | −0.913540 | − | 0.406749i | \(-0.866662\pi\) |
0.994521 | − | 0.104542i | \(-0.0333375\pi\) | |||||||
\(614\) | 949.764 | + | 627.837i | 1.54685 | + | 1.02254i | ||||
\(615\) | 5.79138 | + | 53.0383i | 0.00941688 | + | 0.0862412i | ||||
\(616\) | −732.440 | − | 769.125i | −1.18903 | − | 1.24858i | ||||
\(617\) | −135.854 | − | 266.629i | −0.220185 | − | 0.432137i | 0.754319 | − | 0.656508i | \(-0.227967\pi\) |
−0.974504 | + | 0.224371i | \(0.927967\pi\) | |||||||
\(618\) | 365.255 | − | 100.800i | 0.591028 | − | 0.163107i | ||||
\(619\) | 190.254 | − | 585.542i | 0.307357 | − | 0.945948i | −0.671430 | − | 0.741068i | \(-0.734320\pi\) |
0.978787 | − | 0.204880i | \(-0.0656804\pi\) | |||||||
\(620\) | −580.905 | − | 848.260i | −0.936943 | − | 1.36816i | ||||
\(621\) | 144.383 | + | 698.218i | 0.232501 | + | 1.12434i | ||||
\(622\) | −154.833 | + | 340.278i | −0.248928 | + | 0.547070i | ||||
\(623\) | −99.2261 | + | 15.7159i | −0.159271 | + | 0.0252261i | ||||
\(624\) | −590.843 | − | 238.375i | −0.946863 | − | 0.382011i | ||||
\(625\) | −287.125 | − | 555.143i | −0.459400 | − | 0.888229i | ||||
\(626\) | −896.879 | + | 39.6839i | −1.43271 | + | 0.0633928i | ||||
\(627\) | −415.664 | + | 974.251i | −0.662941 | + | 1.55383i | ||||
\(628\) | 166.378 | + | 66.9948i | 0.264933 | + | 0.106680i | ||||
\(629\) | 6.18139 | + | 19.0244i | 0.00982732 | + | 0.0302454i | ||||
\(630\) | 825.239 | + | 522.510i | 1.30990 | + | 0.829382i | ||||
\(631\) | 843.261 | + | 273.992i | 1.33639 | + | 0.434219i | 0.888092 | − | 0.459666i | \(-0.152031\pi\) |
0.448297 | + | 0.893885i | \(0.352031\pi\) | |||||||
\(632\) | 290.440 | − | 379.887i | 0.459558 | − | 0.601087i | ||||
\(633\) | −42.8335 | + | 479.418i | −0.0676675 | + | 0.757374i | ||||
\(634\) | 387.055 | − | 308.247i | 0.610498 | − | 0.486195i | ||||
\(635\) | 299.244 | + | 378.404i | 0.471250 | + | 0.595912i | ||||
\(636\) | 289.551 | + | 569.222i | 0.455269 | + | 0.895003i | ||||
\(637\) | −901.725 | − | 142.819i | −1.41558 | − | 0.224206i | ||||
\(638\) | −49.3495 | − | 5.59344i | −0.0773502 | − | 0.00876715i | ||||
\(639\) | 1129.35 | + | 203.427i | 1.76737 | + | 0.318351i | ||||
\(640\) | −219.644 | − | 601.129i | −0.343194 | − | 0.939265i | ||||
\(641\) | 88.4771 | + | 121.778i | 0.138030 | + | 0.189982i | 0.872436 | − | 0.488729i | \(-0.162539\pi\) |
−0.734406 | + | 0.678710i | \(0.762539\pi\) | |||||||
\(642\) | −22.8972 | + | 509.726i | −0.0356654 | + | 0.793965i | ||||
\(643\) | −375.595 | − | 375.595i | −0.584129 | − | 0.584129i | 0.351906 | − | 0.936035i | \(-0.385534\pi\) |
−0.936035 | + | 0.351906i | \(0.885534\pi\) | |||||||
\(644\) | 256.568 | − | 1117.28i | 0.398397 | − | 1.73490i | ||||
\(645\) | −58.3396 | − | 214.259i | −0.0904490 | − | 0.332184i | ||||
\(646\) | 21.8891 | + | 58.4408i | 0.0338840 | + | 0.0904657i | ||||
\(647\) | −211.059 | + | 414.227i | −0.326212 | + | 0.640227i | −0.994623 | − | 0.103566i | \(-0.966975\pi\) |
0.668411 | + | 0.743792i | \(0.266975\pi\) | |||||||
\(648\) | −240.874 | + | 601.568i | −0.371718 | + | 0.928346i | ||||
\(649\) | − | 709.798i | − | 1.09368i | ||||||
\(650\) | −319.644 | + | 581.615i | −0.491760 | + | 0.894793i | ||||
\(651\) | 889.518 | − | 1417.71i | 1.36639 | − | 2.17774i | ||||
\(652\) | −507.643 | + | 127.200i | −0.778594 | + | 0.195092i | ||||
\(653\) | 34.4044 | − | 67.5225i | 0.0526867 | − | 0.103403i | −0.863162 | − | 0.504927i | \(-0.831519\pi\) |
0.915849 | + | 0.401524i | \(0.131519\pi\) | |||||||
\(654\) | 85.2249 | − | 416.214i | 0.130313 | − | 0.636413i | ||||
\(655\) | −609.087 | + | 122.118i | −0.929904 | + | 0.186439i | ||||
\(656\) | 56.3750 | + | 7.78861i | 0.0859375 | + | 0.0118729i | ||||
\(657\) | −357.567 | + | 1026.16i | −0.544243 | + | 1.56188i | ||||
\(658\) | −1163.78 | + | 659.336i | −1.76867 | + | 1.00203i | ||||
\(659\) | 534.708 | + | 735.963i | 0.811393 | + | 1.11679i | 0.991107 | + | 0.133068i | \(0.0424829\pi\) |
−0.179714 | + | 0.983719i | \(0.557517\pi\) | |||||||
\(660\) | −539.395 | − | 497.764i | −0.817265 | − | 0.754189i | ||||
\(661\) | 1032.15 | + | 749.897i | 1.56149 | + | 1.13449i | 0.934775 | + | 0.355241i | \(0.115601\pi\) |
0.626716 | + | 0.779248i | \(0.284399\pi\) | |||||||
\(662\) | −18.8766 | + | 166.543i | −0.0285145 | + | 0.251576i | ||||
\(663\) | −28.3021 | + | 32.4370i | −0.0426880 | + | 0.0489246i | ||||
\(664\) | −274.935 | + | 508.493i | −0.414059 | + | 0.765802i | ||||
\(665\) | −868.149 | + | 1303.56i | −1.30549 | + | 1.96024i | ||||
\(666\) | −300.166 | − | 144.315i | −0.450699 | − | 0.216689i | ||||
\(667\) | −24.3367 | − | 47.7635i | −0.0364868 | − | 0.0716094i | ||||
\(668\) | −363.438 | + | 434.159i | −0.544069 | + | 0.649938i | ||||
\(669\) | 158.897 | + | 190.076i | 0.237514 | + | 0.284119i | ||||
\(670\) | 841.364 | + | 342.146i | 1.25577 | + | 0.510665i | ||||
\(671\) | −251.028 | − | 772.586i | −0.374111 | − | 1.15139i | ||||
\(672\) | 754.966 | − | 717.989i | 1.12346 | − | 1.06844i | ||||
\(673\) | 41.5744 | − | 6.58474i | 0.0617747 | − | 0.00978416i | −0.125471 | − | 0.992097i | \(-0.540044\pi\) |
0.187245 | + | 0.982313i | \(0.440044\pi\) | |||||||
\(674\) | −13.2986 | − | 300.555i | −0.0197308 | − | 0.445928i | ||||
\(675\) | 592.399 | + | 323.555i | 0.877629 | + | 0.479341i | ||||
\(676\) | 28.6055 | − | 2.53636i | 0.0423158 | − | 0.00375201i | ||||
\(677\) | −485.796 | + | 76.9426i | −0.717572 | + | 0.113652i | −0.504534 | − | 0.863392i | \(-0.668336\pi\) |
−0.213038 | + | 0.977044i | \(0.568336\pi\) | |||||||
\(678\) | −322.557 | − | 488.664i | −0.475747 | − | 0.720743i | ||||
\(679\) | −393.769 | − | 1211.90i | −0.579925 | − | 1.78483i | ||||
\(680\) | −43.2375 | + | 0.707600i | −0.0635846 | + | 0.00104059i | ||||
\(681\) | −115.135 | − | 137.727i | −0.169067 | − | 0.202242i | ||||
\(682\) | −849.124 | + | 927.745i | −1.24505 | + | 1.36033i | ||||
\(683\) | −61.9093 | − | 121.504i | −0.0906432 | − | 0.177897i | 0.841234 | − | 0.540671i | \(-0.181830\pi\) |
−0.931877 | + | 0.362774i | \(0.881830\pi\) | |||||||
\(684\) | −955.429 | − | 408.394i | −1.39683 | − | 0.597067i | ||||
\(685\) | 84.4902 | − | 31.3161i | 0.123343 | − | 0.0457169i | ||||
\(686\) | 236.784 | − | 358.196i | 0.345166 | − | 0.522151i | ||||
\(687\) | 141.010 | − | 161.611i | 0.205255 | − | 0.235242i | ||||
\(688\) | −236.817 | + | 4.68759i | −0.344210 | + | 0.00681336i | ||||
\(689\) | −571.486 | − | 415.209i | −0.829443 | − | 0.602626i | ||||
\(690\) | 127.136 | − | 781.943i | 0.184256 | − | 1.13325i | ||||
\(691\) | 316.802 | + | 436.040i | 0.458469 | + | 0.631028i | 0.974190 | − | 0.225728i | \(-0.0724762\pi\) |
−0.515722 | + | 0.856756i | \(0.672476\pi\) | |||||||
\(692\) | −384.487 | − | 613.709i | −0.555617 | − | 0.886863i | ||||
\(693\) | 393.162 | − | 1128.31i | 0.567334 | − | 1.62815i | ||||
\(694\) | −564.722 | − | 156.256i | −0.813720 | − | 0.225152i | ||||
\(695\) | 16.6500 | − | 142.531i | 0.0239569 | − | 0.205081i | ||||
\(696\) | 5.51952 | − | 48.4063i | 0.00793034 | − | 0.0695492i | ||||
\(697\) | 1.74573 | − | 3.42619i | 0.00250464 | − | 0.00491563i | ||||
\(698\) | 455.827 | − | 93.0165i | 0.653047 | − | 0.133261i | ||||
\(699\) | −255.746 | + | 407.607i | −0.365874 | + | 0.583128i | ||||
\(700\) | −649.213 | − | 869.681i | −0.927448 | − | 1.24240i | ||||
\(701\) | − | 684.502i | − | 0.976465i | −0.872714 | − | 0.488233i | \(-0.837642\pi\) | ||
0.872714 | − | 0.488233i | \(-0.162358\pi\) | |||||||
\(702\) | −65.1721 | − | 713.787i | −0.0928377 | − | 1.01679i | ||||
\(703\) | 242.452 | − | 475.839i | 0.344882 | − | 0.676870i | ||||
\(704\) | −655.099 | + | 428.701i | −0.930539 | + | 0.608950i | ||||
\(705\) | −773.192 | + | 506.571i | −1.09673 | + | 0.718541i | ||||
\(706\) | 1047.39 | + | 289.809i | 1.48356 | + | 0.410494i | ||||
\(707\) | 193.170 | + | 193.170i | 0.273225 | + | 0.273225i | ||||
\(708\) | 696.285 | + | 0.468375i | 0.983453 | + | 0.000661546i | ||||
\(709\) | 582.385 | + | 801.584i | 0.821417 | + | 1.13058i | 0.989460 | + | 0.144804i | \(0.0462551\pi\) |
−0.168044 | + | 0.985780i | \(0.553745\pi\) | |||||||
\(710\) | −1091.42 | − | 659.153i | −1.53722 | − | 0.928384i | ||||
\(711\) | 529.448 | + | 95.3682i | 0.744653 | + | 0.134133i | ||||
\(712\) | −1.80871 | + | 74.0332i | −0.00254032 | + | 0.103979i | ||||
\(713\) | −1340.74 | − | 212.353i | −1.88043 | − | 0.297830i | ||||
\(714\) | −29.1123 | − | 64.0946i | −0.0407736 | − | 0.0897683i | ||||
\(715\) | 781.705 | + | 219.181i | 1.09329 | + | 0.306547i | ||||
\(716\) | 145.497 | − | 126.777i | 0.203207 | − | 0.177063i | ||||
\(717\) | −18.5627 | + | 207.765i | −0.0258894 | + | 0.289770i | ||||
\(718\) | −119.426 | + | 130.483i | −0.166331 | + | 0.181731i | ||||
\(719\) | 220.376 | + | 71.6044i | 0.306503 | + | 0.0995889i | 0.458230 | − | 0.888834i | \(-0.348484\pi\) |
−0.151727 | + | 0.988422i | \(0.548484\pi\) | |||||||
\(720\) | 488.644 | − | 528.798i | 0.678672 | − | 0.734441i | ||||
\(721\) | −211.790 | − | 651.824i | −0.293745 | − | 0.904055i | ||||
\(722\) | 391.008 | − | 859.319i | 0.541562 | − | 1.19019i | ||||
\(723\) | −62.1386 | + | 145.643i | −0.0859455 | + | 0.201442i | ||||
\(724\) | −78.9350 | − | 890.242i | −0.109026 | − | 1.22962i | ||||
\(725\) | −49.3835 | − | 11.6972i | −0.0681152 | − | 0.0161341i | ||||
\(726\) | −84.8163 | + | 149.473i | −0.116827 | + | 0.205886i | ||||
\(727\) | 923.962 | − | 146.341i | 1.27092 | − | 0.201295i | 0.515705 | − | 0.856766i | \(-0.327530\pi\) |
0.755220 | + | 0.655472i | \(0.227530\pi\) | |||||||
\(728\) | −382.777 | + | 1086.98i | −0.525793 | + | 1.49311i | ||||
\(729\) | −725.804 | + | 68.1847i | −0.995616 | + | 0.0935319i | ||||
\(730\) | 778.196 | − | 923.175i | 1.06602 | − | 1.26462i | ||||
\(731\) | −4.94560 | + | 15.2210i | −0.00676552 | + | 0.0208221i | ||||
\(732\) | 758.043 | − | 245.740i | 1.03558 | − | 0.335710i | ||||
\(733\) | −63.3931 | − | 124.416i | −0.0864845 | − | 0.169735i | 0.843713 | − | 0.536794i | \(-0.180365\pi\) |
−0.930198 | + | 0.367059i | \(0.880365\pi\) | |||||||
\(734\) | −267.306 | + | 212.880i | −0.364178 | + | 0.290028i | ||||
\(735\) | 512.251 | − | 895.586i | 0.696941 | − | 1.21848i | ||||
\(736\) | −775.920 | − | 334.686i | −1.05424 | − | 0.454737i | ||||
\(737\) | 173.811 | − | 1097.40i | 0.235836 | − | 1.48901i | ||||
\(738\) | 21.1846 | + | 60.4179i | 0.0287054 | + | 0.0818671i | ||||
\(739\) | −424.857 | − | 308.676i | −0.574908 | − | 0.417695i | 0.261977 | − | 0.965074i | \(-0.415626\pi\) |
−0.836885 | + | 0.547379i | \(0.815626\pi\) | |||||||
\(740\) | 254.284 | + | 268.860i | 0.343627 | + | 0.363324i | ||||
\(741\) | 1146.65 | − | 78.0594i | 1.54743 | − | 0.105343i | ||||
\(742\) | 1005.06 | − | 569.414i | 1.35453 | − | 0.767404i | ||||
\(743\) | −261.679 | + | 261.679i | −0.352192 | + | 0.352192i | −0.860925 | − | 0.508732i | \(-0.830114\pi\) |
0.508732 | + | 0.860925i | \(0.330114\pi\) | |||||||
\(744\) | −909.523 | − | 833.571i | −1.22248 | − | 1.12039i | ||||
\(745\) | 178.841 | + | 318.208i | 0.240055 | + | 0.427125i | ||||
\(746\) | 369.037 | + | 985.278i | 0.494688 | + | 1.32075i | ||||
\(747\) | −650.173 | − | 13.7447i | −0.870379 | − | 0.0183999i | ||||
\(748\) | 12.8574 | + | 51.3127i | 0.0171891 | + | 0.0685999i | ||||
\(749\) | 922.918 | 1.23220 | ||||||||
\(750\) | −486.481 | − | 570.820i | −0.648642 | − | 0.761094i | ||||
\(751\) | 179.269i | 0.238708i | 0.992852 | + | 0.119354i | \(0.0380823\pi\) | ||||
−0.992852 | + | 0.119354i | \(0.961918\pi\) | |||||||
\(752\) | 323.184 | + | 931.512i | 0.429766 | + | 1.23871i | ||||
\(753\) | −457.433 | + | 273.708i | −0.607481 | + | 0.363490i | ||||
\(754\) | 18.9020 | + | 50.4656i | 0.0250689 | + | 0.0669305i | ||||
\(755\) | −80.9365 | + | 45.4884i | −0.107201 | + | 0.0602495i | ||||
\(756\) | 1106.57 | + | 386.422i | 1.46371 | + | 0.511140i | ||||
\(757\) | −143.418 | − | 143.418i | −0.189456 | − | 0.189456i | 0.606005 | − | 0.795461i | \(-0.292771\pi\) |
−0.795461 | + | 0.606005i | \(0.792771\pi\) | |||||||
\(758\) | 1089.16 | − | 617.055i | 1.43688 | − | 0.814057i | ||||
\(759\) | −966.865 | + | 65.8205i | −1.27387 | + | 0.0867200i | ||||
\(760\) | 829.606 | + | 802.889i | 1.09159 | + | 1.05643i | ||||
\(761\) | −251.760 | + | 346.519i | −0.330828 | + | 0.455346i | −0.941735 | − | 0.336357i | \(-0.890805\pi\) |
0.610906 | + | 0.791703i | \(0.290805\pi\) | |||||||
\(762\) | 452.609 | + | 360.951i | 0.593975 | + | 0.473690i | ||||
\(763\) | −759.005 | − | 120.215i | −0.994764 | − | 0.157555i | ||||
\(764\) | −87.6728 | + | 146.299i | −0.114755 | + | 0.191491i | ||||
\(765\) | −22.9336 | − | 42.9039i | −0.0299786 | − | 0.0560836i | ||||
\(766\) | −282.614 | + | 225.071i | −0.368947 | + | 0.293826i | ||||
\(767\) | −686.221 | + | 349.647i | −0.894682 | + | 0.455863i | ||||
\(768\) | −420.107 | − | 642.911i | −0.547014 | − | 0.837123i | ||||
\(769\) | 1239.29 | + | 402.671i | 1.61157 | + | 0.523630i | 0.969931 | − | 0.243380i | \(-0.0782562\pi\) |
0.641635 | + | 0.767010i | \(0.278256\pi\) | |||||||
\(770\) | −855.663 | + | 1015.07i | −1.11125 | + | 1.31828i | ||||
\(771\) | 80.7164 | − | 321.214i | 0.104691 | − | 0.416620i | ||||
\(772\) | 208.780 | − | 518.492i | 0.270440 | − | 0.671622i | ||||
\(773\) | 223.488 | + | 1411.05i | 0.289118 | + | 1.82542i | 0.522038 | + | 0.852922i | \(0.325172\pi\) |
−0.232920 | + | 0.972496i | \(0.574828\pi\) | |||||||
\(774\) | −126.423 | − | 234.572i | −0.163337 | − | 0.303065i | ||||
\(775\) | −974.677 | + | 837.591i | −1.25765 | + | 1.08076i | ||||
\(776\) | −931.058 | + | 124.238i | −1.19982 | + | 0.160100i | ||||
\(777\) | −236.409 | + | 554.104i | −0.304258 | + | 0.713133i | ||||
\(778\) | 15.2727 | − | 33.5649i | 0.0196307 | − | 0.0431425i | ||||
\(779\) | −97.6368 | + | 31.7241i | −0.125336 | + | 0.0407242i | ||||
\(780\) | −215.524 | + | 766.678i | −0.276313 | + | 0.982921i | ||||
\(781\) | −481.981 | + | 1483.38i | −0.617133 | + | 1.89934i | ||||
\(782\) | −38.5491 | + | 42.1184i | −0.0492956 | + | 0.0538599i | ||||
\(783\) | 51.2772 | − | 19.3591i | 0.0654881 | − | 0.0247242i | ||||
\(784\) | −793.431 | − | 762.630i | −1.01203 | − | 0.972742i | ||||
\(785\) | 60.5287 | − | 215.874i | 0.0771066 | − | 0.274999i | ||||
\(786\) | −678.719 | + | 308.280i | −0.863510 | + | 0.392214i | ||||
\(787\) | 142.255 | − | 898.162i | 0.180756 | − | 1.14125i | −0.715796 | − | 0.698310i | \(-0.753936\pi\) |
0.896552 | − | 0.442939i | \(-0.146064\pi\) | |||||||
\(788\) | 1247.35 | + | 85.7577i | 1.58293 | + | 0.108830i | ||||
\(789\) | 357.663 | + | 889.963i | 0.453312 | + | 1.12796i | ||||
\(790\) | −511.669 | − | 309.017i | −0.647682 | − | 0.391160i | ||||
\(791\) | −856.819 | + | 622.515i | −1.08321 | + | 0.786998i | ||||
\(792\) | −765.743 | − | 435.189i | −0.966847 | − | 0.549482i | ||||
\(793\) | −623.267 | + | 623.267i | −0.785961 | + | 0.785961i | ||||
\(794\) | 860.909 | + | 238.209i | 1.08427 | + | 0.300012i | ||||
\(795\) | 667.741 | − | 437.484i | 0.839926 | − | 0.550294i | ||||
\(796\) | 308.800 | − | 131.504i | 0.387940 | − | 0.165206i | ||||
\(797\) | 1206.01 | + | 614.491i | 1.51318 | + | 0.771006i | 0.996373 | − | 0.0850940i | \(-0.0271191\pi\) |
0.516811 | + | 0.856100i | \(0.327119\pi\) | |||||||
\(798\) | −660.403 | + | 1759.58i | −0.827573 | + | 2.20499i | ||||
\(799\) | 66.6206 | 0.0833800 | ||||||||
\(800\) | −716.931 | + | 354.979i | −0.896164 | + | 0.443723i | ||||
\(801\) | −75.0145 | + | 36.2456i | −0.0936511 | + | 0.0452504i | ||||
\(802\) | −577.454 | + | 117.836i | −0.720017 | + | 0.146928i | ||||
\(803\) | −1316.03 | − | 670.549i | −1.63889 | − | 0.835055i | ||||
\(804\) | 1076.39 | + | 171.226i | 1.33880 | + | 0.212968i | ||||
\(805\) | −1423.27 | − | 166.261i | −1.76803 | − | 0.206536i | ||||
\(806\) | 1315.21 | + | 363.912i | 1.63177 | + | 0.451504i | ||||
\(807\) | −224.451 | − | 980.441i | −0.278131 | − | 1.21492i | ||||
\(808\) | 165.758 | − | 114.351i | 0.205146 | − | 0.141523i | ||||
\(809\) | 1261.50 | − | 916.533i | 1.55933 | − | 1.13292i | 0.622778 | − | 0.782399i | \(-0.286004\pi\) |
0.936554 | − | 0.350522i | \(-0.113996\pi\) | |||||||
\(810\) | 780.346 | + | 217.165i | 0.963390 | + | 0.268105i | ||||
\(811\) | −354.238 | + | 487.566i | −0.436791 | + | 0.601191i | −0.969495 | − | 0.245110i | \(-0.921176\pi\) |
0.532704 | + | 0.846302i | \(0.321176\pi\) | |||||||
\(812\) | −87.9167 | − | 6.04445i | −0.108272 | − | 0.00744391i | ||||
\(813\) | 508.164 | − | 582.406i | 0.625048 | − | 0.716366i | ||||
\(814\) | 249.637 | − | 377.640i | 0.306680 | − | 0.463931i | ||||
\(815\) | 227.353 | + | 613.393i | 0.278960 | + | 0.752629i | ||||
\(816\) | −50.3443 | + | 12.5788i | −0.0616965 | + | 0.0154152i | ||||
\(817\) | 380.709 | − | 193.981i | 0.465984 | − | 0.237431i | ||||
\(818\) | 71.2819 | − | 77.8819i | 0.0871416 | − | 0.0952101i | ||||
\(819\) | −1284.50 | + | 175.702i | −1.56838 | + | 0.214533i | ||||
\(820\) | 1.98121 | − | 71.1105i | 0.00241611 | − | 0.0867201i | ||||
\(821\) | −178.282 | + | 57.9273i | −0.217152 | + | 0.0705570i | −0.415573 | − | 0.909560i | \(-0.636419\pi\) |
0.198421 | + | 0.980117i | \(0.436419\pi\) | |||||||
\(822\) | 90.2418 | − | 59.5667i | 0.109783 | − | 0.0724656i | ||||
\(823\) | −244.390 | − | 1543.02i | −0.296950 | − | 1.87487i | −0.459513 | − | 0.888171i | \(-0.651976\pi\) |
0.162562 | − | 0.986698i | \(-0.448024\pi\) | |||||||
\(824\) | −500.774 | + | 66.8217i | −0.607735 | + | 0.0810943i | ||||
\(825\) | −544.845 | + | 738.165i | −0.660419 | + | 0.894746i | ||||
\(826\) | −55.6713 | − | 1258.20i | −0.0673987 | − | 1.52325i | ||||
\(827\) | −243.457 | − | 1537.13i | −0.294386 | − | 1.85868i | −0.481644 | − | 0.876367i | \(-0.659960\pi\) |
0.187259 | − | 0.982311i | \(-0.440040\pi\) | |||||||
\(828\) | −63.9294 | − | 948.501i | −0.0772094 | − | 1.14553i | ||||
\(829\) | 1172.53 | − | 380.979i | 1.41440 | − | 0.459565i | 0.500578 | − | 0.865691i | \(-0.333121\pi\) |
0.913817 | + | 0.406126i | \(0.133121\pi\) | |||||||
\(830\) | 669.348 | + | 272.194i | 0.806443 | + | 0.327945i | ||||
\(831\) | 654.936 | + | 783.448i | 0.788130 | + | 0.942777i | ||||
\(832\) | 737.164 | + | 422.161i | 0.886014 | + | 0.507405i | ||||
\(833\) | −66.2546 | + | 33.7584i | −0.0795374 | + | 0.0405263i | ||||
\(834\) | −19.2786 | − | 171.118i | −0.0231158 | − | 0.205178i | ||||
\(835\) | 589.069 | + | 392.309i | 0.705471 | + | 0.469831i | ||||
\(836\) | 725.967 | − | 1211.42i | 0.868382 | − | 1.44906i | ||||
\(837\) | 366.627 | − | 1338.64i | 0.438025 | − | 1.59933i | ||||
\(838\) | 14.2013 | − | 125.294i | 0.0169466 | − | 0.149516i | ||||
\(839\) | −248.798 | + | 342.440i | −0.296541 | + | 0.408153i | −0.931125 | − | 0.364701i | \(-0.881171\pi\) |
0.634584 | + | 0.772854i | \(0.281171\pi\) | |||||||
\(840\) | −995.185 | − | 840.043i | −1.18474 | − | 1.00005i | ||||
\(841\) | 677.049 | − | 491.905i | 0.805053 | − | 0.584905i | ||||
\(842\) | 1227.62 | − | 695.502i | 1.45798 | − | 0.826011i | ||||
\(843\) | −281.604 | + | 64.4673i | −0.334050 | + | 0.0764737i | ||||
\(844\) | 143.636 | − | 625.490i | 0.170184 | − | 0.741102i | ||||
\(845\) | −7.05670 | − | 35.1967i | −0.00835113 | − | 0.0416529i | ||||
\(846\) | −766.034 | + | 802.238i | −0.905478 | + | 0.948272i | ||||
\(847\) | 276.979 | + | 141.128i | 0.327011 | + | 0.166621i | ||||
\(848\) | −279.107 | − | 804.470i | −0.329136 | − | 0.948667i | ||||
\(849\) | −291.985 | + | 465.364i | −0.343916 | + | 0.548132i | ||||
\(850\) | 6.78199 | + | 53.6270i | 0.00797881 | + | 0.0630906i | ||||
\(851\) | 488.612 | 0.574162 | ||||||||
\(852\) | −1454.83 | − | 473.784i | −1.70754 | − | 0.556084i | ||||
\(853\) | −419.142 | − | 213.563i | −0.491374 | − | 0.250367i | 0.190703 | − | 0.981648i | \(-0.438923\pi\) |
−0.682077 | + | 0.731280i | \(0.738923\pi\) | |||||||
\(854\) | −505.575 | − | 1349.81i | −0.592008 | − | 1.58058i | ||||
\(855\) | −377.004 | + | 1242.90i | −0.440940 | + | 1.45368i | ||||
\(856\) | 122.805 | − | 669.144i | 0.143464 | − | 0.781710i | ||||
\(857\) | −813.899 | + | 813.899i | −0.949707 | + | 0.949707i | −0.998794 | − | 0.0490875i | \(-0.984369\pi\) |
0.0490875 | + | 0.998794i | \(0.484369\pi\) | |||||||
\(858\) | 973.240 | + | 43.7186i | 1.13431 | + | 0.0509541i | ||||
\(859\) | −351.736 | + | 255.551i | −0.409471 | + | 0.297498i | −0.773388 | − | 0.633933i | \(-0.781439\pi\) |
0.363916 | + | 0.931432i | \(0.381439\pi\) | |||||||
\(860\) | 38.1546 | + | 293.610i | 0.0443658 | + | 0.341407i | ||||
\(861\) | 107.454 | − | 43.1841i | 0.124801 | − | 0.0501557i | ||||
\(862\) | 1436.72 | + | 162.842i | 1.66672 | + | 0.188912i | ||||
\(863\) | 44.8640 | − | 283.260i | 0.0519860 | − | 0.328227i | −0.947965 | − | 0.318373i | \(-0.896863\pi\) |
0.999951 | − | 0.00985363i | \(-0.00313656\pi\) | |||||||
\(864\) | 427.410 | − | 750.877i | 0.494687 | − | 0.869071i | ||||
\(865\) | −710.058 | + | 561.517i | −0.820876 | + | 0.649152i | ||||
\(866\) | 824.967 | − | 656.996i | 0.952617 | − | 0.758656i | ||||
\(867\) | 76.8427 | − | 860.068i | 0.0886305 | − | 0.992004i | ||||
\(868\) | −1432.41 | + | 1711.14i | −1.65024 | + | 1.97136i | ||||
\(869\) | −225.957 | + | 695.424i | −0.260019 | + | 0.800258i | ||||
\(870\) | −60.8994 | − | 0.249708i | −0.0699993 | − | 0.000287020i | ||||
\(871\) | −1146.57 | + | 372.542i | −1.31638 | + | 0.427718i | ||||
\(872\) | −188.154 | + | 534.306i | −0.215773 | + | 0.612736i | ||||
\(873\) | −602.919 | − | 867.845i | −0.690629 | − | 0.994095i | ||||
\(874\) | 1522.86 | − | 67.3814i | 1.74240 | − | 0.0770955i | ||||
\(875\) | −991.967 | + | 925.391i | −1.13368 | + | 1.05759i | ||||
\(876\) | 658.652 | − | 1290.53i | 0.751886 | − | 1.47321i | ||||
\(877\) | −35.6173 | − | 224.879i | −0.0406126 | − | 0.256418i | 0.959025 | − | 0.283320i | \(-0.0914358\pi\) |
−0.999638 | + | 0.0269019i | \(0.991436\pi\) | |||||||
\(878\) | 178.564 | − | 392.430i | 0.203375 | − | 0.446959i | ||||
\(879\) | 1446.64 | + | 363.519i | 1.64578 | + | 0.413560i | ||||
\(880\) | 622.104 | + | 755.450i | 0.706937 | + | 0.858465i | ||||
\(881\) | 822.327 | + | 267.190i | 0.933402 | + | 0.303281i | 0.735953 | − | 0.677033i | \(-0.236734\pi\) |
0.197449 | + | 0.980313i | \(0.436734\pi\) | |||||||
\(882\) | 355.311 | − | 1186.00i | 0.402847 | − | 1.34467i | ||||
\(883\) | −359.009 | + | 182.924i | −0.406578 | + | 0.207162i | −0.645305 | − | 0.763925i | \(-0.723270\pi\) |
0.238727 | + | 0.971087i | \(0.423270\pi\) | |||||||
\(884\) | 43.2747 | − | 37.7071i | 0.0489533 | − | 0.0426551i | ||||
\(885\) | −94.4748 | − | 865.214i | −0.106751 | − | 0.977642i | ||||
\(886\) | −861.088 | − | 569.218i | −0.971883 | − | 0.642459i | ||||
\(887\) | 946.534 | + | 149.916i | 1.06712 | + | 0.169015i | 0.665204 | − | 0.746662i | \(-0.268345\pi\) |
0.401915 | + | 0.915677i | \(0.368345\pi\) | |||||||
\(888\) | 370.286 | + | 245.134i | 0.416989 | + | 0.276052i | ||||
\(889\) | 615.490 | − | 847.150i | 0.692340 | − | 0.952924i | ||||
\(890\) | 92.2349 | − | 7.85964i | 0.103635 | − | 0.00883106i | ||||
\(891\) | 41.8752 | − | 989.978i | 0.0469980 | − | 1.11109i | ||||
\(892\) | −175.373 | − | 279.927i | −0.196607 | − | 0.313819i | ||||
\(893\) | −1257.68 | − | 1257.68i | −1.40837 | − | 1.40837i | ||||
\(894\) | 295.519 | + | 323.318i | 0.330559 | + | 0.361653i | ||||
\(895\) | −177.387 | − | 163.475i | −0.198197 | − | 0.182654i | ||||
\(896\) | −1127.62 | + | 811.306i | −1.25850 | + | 0.905475i | ||||
\(897\) | 539.913 | + | 902.326i | 0.601910 | + | 1.00594i | ||||
\(898\) | 149.291 | + | 731.599i | 0.166248 | + | 0.814699i | ||||
\(899\) | 104.352i | 0.116076i | ||||||||
\(900\) | −723.753 | − | 534.960i | −0.804170 | − | 0.594400i | ||||
\(901\) | −57.5347 | −0.0638564 | ||||||||
\(902\) | −85.2652 | + | 17.3993i | −0.0945291 | + | 0.0192897i | ||||
\(903\) | −413.603 | + | 247.482i | −0.458032 | + | 0.274067i | ||||
\(904\) | 337.333 | + | 704.053i | 0.373156 | + | 0.778820i | ||||
\(905\) | −1095.37 | + | 219.614i | −1.21035 | + | 0.242668i | ||||
\(906\) | −82.2362 | + | 75.1656i | −0.0907684 | + | 0.0829642i | ||||
\(907\) | −639.132 | + | 639.132i | −0.704666 | + | 0.704666i | −0.965408 | − | 0.260743i | \(-0.916033\pi\) |
0.260743 | + | 0.965408i | \(0.416033\pi\) | |||||||
\(908\) | 127.073 | + | 202.831i | 0.139948 | + | 0.223383i | ||||
\(909\) | 199.636 | + | 107.093i | 0.219621 | + | 0.117815i | ||||
\(910\) | 1402.86 | + | 327.214i | 1.54160 | + | 0.359576i | ||||
\(911\) | 242.226 | + | 175.987i | 0.265890 | + | 0.193180i | 0.712740 | − | 0.701429i | \(-0.247454\pi\) |
−0.446850 | + | 0.894609i | \(0.647454\pi\) | |||||||
\(912\) | 1187.88 | + | 712.946i | 1.30250 | + | 0.781739i | ||||
\(913\) | 138.275 | − | 873.036i | 0.151452 | − | 0.956228i | ||||
\(914\) | −597.988 | + | 904.611i | −0.654254 | + | 0.989727i | ||||
\(915\) | −408.825 | − | 908.338i | −0.446803 | − | 0.992719i | ||||
\(916\) | −215.608 | + | 187.868i | −0.235380 | + | 0.205097i | ||||
\(917\) | 612.144 | + | 1201.40i | 0.667551 | + | 1.31014i | ||||
\(918\) | −38.4662 | − | 43.9135i | −0.0419022 | − | 0.0478360i | ||||
\(919\) | −235.760 | + | 725.596i | −0.256540 | + | 0.789549i | 0.736982 | + | 0.675912i | \(0.236250\pi\) |
−0.993522 | + | 0.113637i | \(0.963750\pi\) | |||||||
\(920\) | −309.927 | + | 1009.79i | −0.336877 | + | 1.09760i | ||||
\(921\) | 416.201 | − | 1656.29i | 0.451901 | − | 1.79836i | ||||
\(922\) | −704.497 | − | 320.561i | −0.764097 | − | 0.347680i | ||||
\(923\) | 1671.54 | − | 264.745i | 1.81098 | − | 0.286831i | ||||
\(924\) | −724.219 | + | 1419.00i | −0.783786 | + | 1.53571i | ||||
\(925\) | 299.349 | − | 352.659i | 0.323621 | − | 0.381253i | ||||
\(926\) | 56.7283 | + | 1282.09i | 0.0612616 | + | 1.38455i | ||||
\(927\) | −324.283 | − | 466.774i | −0.349820 | − | 0.503532i | ||||
\(928\) | −16.0808 | + | 62.9380i | −0.0173284 | + | 0.0678212i | ||||
\(929\) | −83.3502 | − | 256.525i | −0.0897203 | − | 0.276131i | 0.896121 | − | 0.443809i | \(-0.146373\pi\) |
−0.985842 | + | 0.167678i | \(0.946373\pi\) | |||||||
\(930\) | −911.563 | + | 1243.90i | −0.980175 | + | 1.33753i | ||||
\(931\) | 1888.07 | + | 613.471i | 2.02800 | + | 0.658937i | ||||
\(932\) | 411.834 | − | 491.971i | 0.441882 | − | 0.527866i | ||||
\(933\) | 558.547 | + | 49.9033i | 0.598657 | + | 0.0534869i | ||||
\(934\) | 683.170 | + | 857.833i | 0.731446 | + | 0.918451i | ||||
\(935\) | 62.0019 | − | 22.9809i | 0.0663122 | − | 0.0245785i | ||||
\(936\) | −43.5285 | + | 954.683i | −0.0465048 | + | 1.01996i | ||||
\(937\) | −74.6111 | − | 11.8172i | −0.0796276 | − | 0.0126118i | 0.116494 | − | 0.993191i | \(-0.462835\pi\) |
−0.196121 | + | 0.980580i | \(0.562835\pi\) | |||||||
\(938\) | 222.029 | − | 1958.91i | 0.236705 | − | 2.08839i | ||||
\(939\) | 502.158 | + | 1249.51i | 0.534780 | + | 1.33068i | ||||
\(940\) | 1113.30 | − | 528.733i | 1.18437 | − | 0.562482i | ||||
\(941\) | −580.415 | − | 798.872i | −0.616806 | − | 0.848961i | 0.380309 | − | 0.924859i | \(-0.375818\pi\) |
−0.997116 | + | 0.0758984i | \(0.975818\pi\) | |||||||
\(942\) | 12.0732 | − | 268.768i | 0.0128166 | − | 0.285317i | ||||
\(943\) | −66.4166 | − | 66.4166i | −0.0704312 | − | 0.0704312i | ||||
\(944\) | −919.645 | − | 127.055i | −0.974200 | − | 0.134593i | ||||
\(945\) | 329.069 | − | 1427.69i | 0.348222 | − | 1.51078i | ||||
\(946\) | 339.179 | − | 127.040i | 0.358540 | − | 0.134292i | ||||
\(947\) | 226.060 | − | 443.669i | 0.238712 | − | 0.468499i | −0.740306 | − | 0.672270i | \(-0.765320\pi\) |
0.979019 | + | 0.203770i | \(0.0653196\pi\) | |||||||
\(948\) | −682.035 | − | 222.114i | −0.719447 | − | 0.234298i | ||||
\(949\) | 1602.63i | 1.68875i | ||||||||
\(950\) | 884.350 | − | 1140.41i | 0.930895 | − | 1.20044i | ||||
\(951\) | −628.698 | − | 394.466i | −0.661091 | − | 0.414791i | ||||
\(952\) | 26.8160 | + | 89.9496i | 0.0281680 | + | 0.0944849i | ||||
\(953\) | 41.1871 | − | 80.8342i | 0.0432183 | − | 0.0848207i | −0.868387 | − | 0.495886i | \(-0.834843\pi\) |
0.911606 | + | 0.411066i | \(0.134843\pi\) | |||||||
\(954\) | 661.560 | − | 692.826i | 0.693459 | − | 0.726233i | ||||
\(955\) | 193.749 | + | 88.9627i | 0.202879 | + | 0.0931547i | ||||
\(956\) | 62.2473 | − | 271.068i | 0.0651122 | − | 0.283544i | ||||
\(957\) | 16.6247 | + | 72.6195i | 0.0173717 | + | 0.0758825i | ||||
\(958\) | −110.862 | − | 195.680i | −0.115722 | − | 0.204259i | ||||
\(959\) | −114.960 | − | 158.229i | −0.119875 | − | 0.164994i | ||||
\(960\) | −741.478 | + | 609.762i | −0.772373 | + | 0.635169i | ||||
\(961\) | 1360.35 | + | 988.353i | 1.41556 | + | 1.02846i | ||||
\(962\) | −488.068 | − | 55.3193i | −0.507347 | − | 0.0575045i | ||||
\(963\) | 732.736 | − | 221.072i | 0.760889 | − | 0.229566i | ||||
\(964\) | 108.526 | − | 181.098i | 0.112579 | − | 0.187861i | ||||
\(965\) | −672.741 | − | 188.629i | −0.697141 | − | 0.195470i | ||||
\(966\) | −1708.72 | + | 192.509i | −1.76887 | + | 0.199284i | ||||
\(967\) | −112.797 | − | 221.376i | −0.116646 | − | 0.228931i | 0.825300 | − | 0.564694i | \(-0.191006\pi\) |
−0.941946 | + | 0.335763i | \(0.891006\pi\) | |||||||
\(968\) | 139.177 | − | 182.039i | 0.143778 | − | 0.188057i | ||||
\(969\) | 71.8189 | − | 60.0382i | 0.0741166 | − | 0.0619589i | ||||
\(970\) | 281.476 | + | 1139.90i | 0.290181 | + | 1.17515i | ||||
\(971\) | 338.356 | + | 1041.35i | 0.348462 | + | 1.07245i | 0.959704 | + | 0.281011i | \(0.0906699\pi\) |
−0.611243 | + | 0.791443i | \(0.709330\pi\) | |||||||
\(972\) | 971.104 | + | 41.7312i | 0.999078 | + | 0.0429334i | ||||
\(973\) | −307.641 | + | 48.7255i | −0.316177 | + | 0.0500776i | ||||
\(974\) | −1758.49 | + | 77.8075i | −1.80544 | + | 0.0798845i | ||||
\(975\) | 982.038 | + | 163.127i | 1.00722 | + | 0.167310i | ||||
\(976\) | −1045.93 | + | 186.949i | −1.07165 | + | 0.191546i | ||||
\(977\) | −1013.53 | + | 160.527i | −1.03739 | + | 0.164306i | −0.651819 | − | 0.758374i | \(-0.725994\pi\) |
−0.385566 | + | 0.922680i | \(0.625994\pi\) | |||||||
\(978\) | 432.450 | + | 655.149i | 0.442178 | + | 0.669887i | ||||
\(979\) | −34.9927 | − | 107.696i | −0.0357433 | − | 0.110007i | ||||
\(980\) | −839.265 | + | 1089.97i | −0.856393 | + | 1.11221i | ||||
\(981\) | −631.396 | + | 86.3663i | −0.643625 | + | 0.0880391i | ||||
\(982\) | −746.729 | − | 683.449i | −0.760417 | − | 0.695976i | ||||
\(983\) | 499.875 | + | 981.061i | 0.508520 | + | 0.998027i | 0.992419 | + | 0.122903i | \(0.0392204\pi\) |
−0.483898 | + | 0.875124i | \(0.660780\pi\) | |||||||
\(984\) | −17.0118 | − | 83.6535i | −0.0172884 | − | 0.0850137i | ||||
\(985\) | −63.7319 | − | 1561.57i | −0.0647024 | − | 1.58535i | ||||
\(986\) | 3.66150 | + | 2.42042i | 0.00371349 | + | 0.00245478i | ||||
\(987\) | 1511.80 | + | 1319.08i | 1.53171 | + | 1.33646i | ||||
\(988\) | −1528.79 | − | 105.108i | −1.54736 | − | 0.106384i | ||||
\(989\) | 316.268 | + | 229.782i | 0.319785 | + | 0.232338i | ||||
\(990\) | −436.194 | + | 1010.86i | −0.440600 | + | 1.02108i | ||||
\(991\) | −335.269 | − | 461.458i | −0.338314 | − | 0.465649i | 0.605634 | − | 0.795743i | \(-0.292919\pi\) |
−0.943948 | + | 0.330094i | \(0.892919\pi\) | |||||||
\(992\) | 1050.03 | + | 1266.23i | 1.05850 | + | 1.27644i | ||||
\(993\) | 245.075 | − | 56.1047i | 0.246802 | − | 0.0565002i | ||||
\(994\) | −738.024 | + | 2667.28i | −0.742479 | + | 2.68338i | ||||
\(995\) | −205.554 | − | 365.739i | −0.206587 | − | 0.367576i | ||||
\(996\) | 856.324 | + | 136.219i | 0.859763 | + | 0.136766i | ||||
\(997\) | 162.597 | − | 319.114i | 0.163086 | − | 0.320074i | −0.794973 | − | 0.606645i | \(-0.792515\pi\) |
0.958059 | + | 0.286570i | \(0.0925152\pi\) | |||||||
\(998\) | 210.145 | + | 1029.82i | 0.210566 | + | 1.03188i | ||||
\(999\) | −54.9652 | + | 496.551i | −0.0550203 | + | 0.497048i |
(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 | 300.3.u.a.287.66 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.287.51 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.287.55 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.287.62 | yes | 928 | |
25.23 | odd | 20 | inner | 300.3.u.a.23.62 | yes | 928 | |
75.23 | even | 20 | inner | 300.3.u.a.23.55 | yes | 928 | |
100.23 | even | 20 | inner | 300.3.u.a.23.51 | ✓ | 928 | |
300.23 | odd | 20 | inner | 300.3.u.a.23.66 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.23.51 | ✓ | 928 | 100.23 | even | 20 | inner | |
300.3.u.a.23.55 | yes | 928 | 75.23 | even | 20 | inner | |
300.3.u.a.23.62 | yes | 928 | 25.23 | odd | 20 | inner | |
300.3.u.a.23.66 | yes | 928 | 300.23 | odd | 20 | inner | |
300.3.u.a.287.51 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.287.55 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.287.62 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.287.66 | yes | 928 | 1.1 | even | 1 | trivial |