Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 217.8 | ||
Character | \(\chi\) | \(=\) | 230.217 |
Dual form | 230.2.l.a.53.8 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0713392 | − | 0.997452i | 0.0504444 | − | 0.705305i | ||||
\(3\) | −2.03332 | + | 0.442321i | −1.17394 | + | 0.255374i | −0.756910 | − | 0.653519i | \(-0.773292\pi\) |
−0.417028 | + | 0.908894i | \(0.636928\pi\) | |||||||
\(4\) | −0.989821 | − | 0.142315i | −0.494911 | − | 0.0711574i | ||||
\(5\) | 2.15496 | + | 0.596778i | 0.963728 | + | 0.266887i | ||||
\(6\) | 0.296139 | + | 2.05969i | 0.120898 | + | 0.840866i | ||||
\(7\) | −3.45500 | + | 1.88657i | −1.30587 | + | 0.713057i | −0.973194 | − | 0.229986i | \(-0.926132\pi\) |
−0.332672 | + | 0.943043i | \(0.607950\pi\) | |||||||
\(8\) | −0.212565 | + | 0.977147i | −0.0751532 | + | 0.345474i | ||||
\(9\) | 1.20984 | − | 0.552516i | 0.403281 | − | 0.184172i | ||||
\(10\) | 0.748990 | − | 2.10690i | 0.236852 | − | 0.666259i | ||||
\(11\) | 3.04037 | + | 2.63450i | 0.916707 | + | 0.794331i | 0.979028 | − | 0.203725i | \(-0.0653049\pi\) |
−0.0623213 | + | 0.998056i | \(0.519850\pi\) | |||||||
\(12\) | 2.07557 | − | 0.148448i | 0.599166 | − | 0.0428532i | ||||
\(13\) | −1.68719 | + | 3.08985i | −0.467942 | + | 0.856971i | 0.532006 | + | 0.846740i | \(0.321438\pi\) |
−0.999948 | + | 0.0102304i | \(0.996743\pi\) | |||||||
\(14\) | 1.63529 | + | 3.58078i | 0.437049 | + | 0.957004i | ||||
\(15\) | −4.64569 | − | 0.260254i | −1.19951 | − | 0.0671973i | ||||
\(16\) | 0.959493 | + | 0.281733i | 0.239873 | + | 0.0704331i | ||||
\(17\) | 4.11662 | + | 3.08166i | 0.998427 | + | 0.747413i | 0.967697 | − | 0.252114i | \(-0.0811259\pi\) |
0.0307298 | + | 0.999528i | \(0.490217\pi\) | |||||||
\(18\) | −0.464799 | − | 1.24618i | −0.109554 | − | 0.293726i | ||||
\(19\) | 0.239698 | − | 1.66714i | 0.0549906 | − | 0.382468i | −0.943677 | − | 0.330867i | \(-0.892659\pi\) |
0.998668 | − | 0.0516004i | \(-0.0164322\pi\) | |||||||
\(20\) | −2.04810 | − | 0.897386i | −0.457968 | − | 0.200662i | ||||
\(21\) | 6.19064 | − | 5.36422i | 1.35091 | − | 1.17057i | ||||
\(22\) | 2.84468 | − | 2.84468i | 0.606489 | − | 0.606489i | ||||
\(23\) | −4.12677 | + | 2.44330i | −0.860492 | + | 0.509464i | ||||
\(24\) | − | 2.08087i | − | 0.424757i | ||||||
\(25\) | 4.28771 | + | 2.57207i | 0.857543 | + | 0.514413i | ||||
\(26\) | 2.96162 | + | 1.90332i | 0.580821 | + | 0.373271i | ||||
\(27\) | 2.78187 | − | 2.08248i | 0.535371 | − | 0.400774i | ||||
\(28\) | 3.68832 | − | 1.37567i | 0.697026 | − | 0.259977i | ||||
\(29\) | −4.67045 | + | 0.671509i | −0.867280 | + | 0.124696i | −0.561571 | − | 0.827429i | \(-0.689803\pi\) |
−0.305710 | + | 0.952125i | \(0.598894\pi\) | |||||||
\(30\) | −0.591011 | + | 4.61529i | −0.107903 | + | 0.842632i | ||||
\(31\) | −4.96472 | + | 3.19063i | −0.891691 | + | 0.573055i | −0.904315 | − | 0.426865i | \(-0.859618\pi\) |
0.0126244 | + | 0.999920i | \(0.495981\pi\) | |||||||
\(32\) | 0.349464 | − | 0.936950i | 0.0617771 | − | 0.165631i | ||||
\(33\) | −7.34734 | − | 4.01195i | −1.27901 | − | 0.698391i | ||||
\(34\) | 3.36749 | − | 3.88629i | 0.577520 | − | 0.666493i | ||||
\(35\) | −8.57124 | + | 2.00362i | −1.44880 | + | 0.338674i | ||||
\(36\) | −1.27616 | + | 0.374714i | −0.212693 | + | 0.0624523i | ||||
\(37\) | −0.514940 | − | 0.192063i | −0.0846556 | − | 0.0315749i | 0.306780 | − | 0.951781i | \(-0.400749\pi\) |
−0.391435 | + | 0.920206i | \(0.628021\pi\) | |||||||
\(38\) | −1.64579 | − | 0.358020i | −0.266983 | − | 0.0580785i | ||||
\(39\) | 2.06388 | − | 7.02893i | 0.330486 | − | 1.12553i | ||||
\(40\) | −1.04121 | + | 1.97886i | −0.164630 | + | 0.312885i | ||||
\(41\) | 2.91137 | − | 6.37502i | 0.454680 | − | 0.995610i | −0.533988 | − | 0.845492i | \(-0.679307\pi\) |
0.988668 | − | 0.150118i | \(-0.0479655\pi\) | |||||||
\(42\) | −4.90892 | − | 6.55754i | −0.757462 | − | 1.01185i | ||||
\(43\) | 0.214189 | + | 0.984612i | 0.0326636 | + | 0.150152i | 0.990590 | − | 0.136861i | \(-0.0437014\pi\) |
−0.957927 | + | 0.287013i | \(0.907338\pi\) | |||||||
\(44\) | −2.63450 | − | 3.04037i | −0.397166 | − | 0.458353i | ||||
\(45\) | 2.93689 | − | 0.468644i | 0.437806 | − | 0.0698613i | ||||
\(46\) | 2.14268 | + | 4.29056i | 0.315921 | + | 0.632609i | ||||
\(47\) | −8.34469 | − | 8.34469i | −1.21720 | − | 1.21720i | −0.968609 | − | 0.248589i | \(-0.920033\pi\) |
−0.248589 | − | 0.968609i | \(-0.579967\pi\) | |||||||
\(48\) | −2.07557 | − | 0.148448i | −0.299583 | − | 0.0214266i | ||||
\(49\) | 4.59336 | − | 7.14741i | 0.656195 | − | 1.02106i | ||||
\(50\) | 2.87139 | − | 4.09330i | 0.406076 | − | 0.578880i | ||||
\(51\) | −9.73349 | − | 4.44514i | −1.36296 | − | 0.622444i | ||||
\(52\) | 2.10975 | − | 2.81829i | 0.292569 | − | 0.390827i | ||||
\(53\) | −1.06201 | − | 1.94492i | −0.145878 | − | 0.267155i | 0.794516 | − | 0.607244i | \(-0.207725\pi\) |
−0.940393 | + | 0.340088i | \(0.889543\pi\) | |||||||
\(54\) | −1.87872 | − | 2.92335i | −0.255661 | − | 0.397817i | ||||
\(55\) | 4.97967 | + | 7.49167i | 0.671459 | + | 1.01018i | ||||
\(56\) | −1.10904 | − | 3.77706i | −0.148202 | − | 0.504731i | ||||
\(57\) | 0.250028 | + | 3.49585i | 0.0331170 | + | 0.463036i | ||||
\(58\) | 0.336612 | + | 4.70645i | 0.0441993 | + | 0.617988i | ||||
\(59\) | 3.42341 | + | 11.6591i | 0.445690 | + | 1.51788i | 0.809903 | + | 0.586564i | \(0.199520\pi\) |
−0.364213 | + | 0.931316i | \(0.618662\pi\) | |||||||
\(60\) | 4.56137 | + | 0.918756i | 0.588870 | + | 0.118611i | ||||
\(61\) | −1.10856 | − | 1.72495i | −0.141936 | − | 0.220857i | 0.763006 | − | 0.646391i | \(-0.223723\pi\) |
−0.904942 | + | 0.425534i | \(0.860086\pi\) | |||||||
\(62\) | 2.82833 | + | 5.17969i | 0.359198 | + | 0.657822i | ||||
\(63\) | −3.13764 | + | 4.19139i | −0.395305 | + | 0.528066i | ||||
\(64\) | −0.909632 | − | 0.415415i | −0.113704 | − | 0.0519269i | ||||
\(65\) | −5.47978 | + | 5.65164i | −0.679683 | + | 0.700999i | ||||
\(66\) | −4.52588 | + | 7.04241i | −0.557098 | + | 0.866861i | ||||
\(67\) | 5.64441 | + | 0.403696i | 0.689574 | + | 0.0493193i | 0.411729 | − | 0.911306i | \(-0.364925\pi\) |
0.277845 | + | 0.960626i | \(0.410380\pi\) | |||||||
\(68\) | −3.63615 | − | 3.63615i | −0.440948 | − | 0.440948i | ||||
\(69\) | 7.31032 | − | 6.79338i | 0.880059 | − | 0.817827i | ||||
\(70\) | 1.38705 | + | 8.69234i | 0.165784 | + | 1.03893i | ||||
\(71\) | 8.02440 | + | 9.26066i | 0.952322 | + | 1.09904i | 0.994993 | + | 0.0999485i | \(0.0318678\pi\) |
−0.0426710 | + | 0.999089i | \(0.513587\pi\) | |||||||
\(72\) | 0.282719 | + | 1.29964i | 0.0333188 | + | 0.153164i | ||||
\(73\) | 2.73247 | + | 3.65015i | 0.319811 | + | 0.427217i | 0.931422 | − | 0.363941i | \(-0.118569\pi\) |
−0.611611 | + | 0.791159i | \(0.709478\pi\) | |||||||
\(74\) | −0.228309 | + | 0.499927i | −0.0265404 | + | 0.0581153i | ||||
\(75\) | −9.85597 | − | 3.33328i | −1.13807 | − | 0.384894i | ||||
\(76\) | −0.474517 | + | 1.61606i | −0.0544308 | + | 0.185374i | ||||
\(77\) | −15.4746 | − | 3.36630i | −1.76350 | − | 0.383626i | ||||
\(78\) | −6.86379 | − | 2.56006i | −0.777171 | − | 0.289870i | ||||
\(79\) | 13.5678 | − | 3.98387i | 1.52650 | − | 0.448221i | 0.592523 | − | 0.805554i | \(-0.298132\pi\) |
0.933977 | + | 0.357333i | \(0.116314\pi\) | |||||||
\(80\) | 1.89954 | + | 1.17973i | 0.212375 | + | 0.131897i | ||||
\(81\) | −7.34827 | + | 8.48035i | −0.816474 | + | 0.942261i | ||||
\(82\) | −6.15108 | − | 3.35874i | −0.679273 | − | 0.370911i | ||||
\(83\) | 4.13065 | − | 11.0747i | 0.453398 | − | 1.21561i | −0.486357 | − | 0.873760i | \(-0.661675\pi\) |
0.939756 | − | 0.341847i | \(-0.111053\pi\) | |||||||
\(84\) | −6.89103 | + | 4.42860i | −0.751873 | + | 0.483200i | ||||
\(85\) | 7.03209 | + | 9.09757i | 0.762737 | + | 0.986770i | ||||
\(86\) | 0.997384 | − | 0.143402i | 0.107551 | − | 0.0154634i | ||||
\(87\) | 9.19949 | − | 3.43123i | 0.986289 | − | 0.367867i | ||||
\(88\) | −3.22057 | + | 2.41089i | −0.343314 | + | 0.257002i | ||||
\(89\) | 5.99039 | + | 3.84979i | 0.634980 | + | 0.408077i | 0.818150 | − | 0.575004i | \(-0.195000\pi\) |
−0.183171 | + | 0.983081i | \(0.558636\pi\) | |||||||
\(90\) | −0.257935 | − | 2.96284i | −0.0271887 | − | 0.312311i | ||||
\(91\) | − | 13.8584i | − | 1.45276i | ||||||
\(92\) | 4.43249 | − | 1.83113i | 0.462119 | − | 0.190909i | ||||
\(93\) | 8.68358 | − | 8.68358i | 0.900445 | − | 0.900445i | ||||
\(94\) | −8.91873 | + | 7.72812i | −0.919897 | + | 0.797095i | ||||
\(95\) | 1.51145 | − | 3.44957i | 0.155072 | − | 0.353919i | ||||
\(96\) | −0.296139 | + | 2.05969i | −0.0302246 | + | 0.210217i | ||||
\(97\) | 0.678744 | + | 1.81978i | 0.0689160 | + | 0.184771i | 0.966842 | − | 0.255376i | \(-0.0821992\pi\) |
−0.897926 | + | 0.440147i | \(0.854926\pi\) | |||||||
\(98\) | −6.80151 | − | 5.09155i | −0.687057 | − | 0.514324i | ||||
\(99\) | 5.13397 | + | 1.50747i | 0.515984 | + | 0.151506i | ||||
\(100\) | −3.87803 | − | 3.15609i | −0.387803 | − | 0.315609i | ||||
\(101\) | −5.46309 | − | 11.9625i | −0.543598 | − | 1.19031i | −0.959708 | − | 0.280999i | \(-0.909334\pi\) |
0.416110 | − | 0.909314i | \(-0.363393\pi\) | |||||||
\(102\) | −5.12819 | + | 9.39158i | −0.507766 | + | 0.929905i | ||||
\(103\) | 18.4503 | − | 1.31959i | 1.81796 | − | 0.130023i | 0.879609 | − | 0.475697i | \(-0.157804\pi\) |
0.938355 | + | 0.345674i | \(0.112350\pi\) | |||||||
\(104\) | −2.66060 | − | 2.30543i | −0.260894 | − | 0.226066i | ||||
\(105\) | 16.5418 | − | 7.86525i | 1.61432 | − | 0.767569i | ||||
\(106\) | −2.01573 | + | 0.920551i | −0.195785 | + | 0.0894118i | ||||
\(107\) | −1.50686 | + | 6.92694i | −0.145674 | + | 0.669653i | 0.845154 | + | 0.534523i | \(0.179509\pi\) |
−0.990828 | + | 0.135130i | \(0.956855\pi\) | |||||||
\(108\) | −3.04992 | + | 1.66538i | −0.293479 | + | 0.160252i | ||||
\(109\) | 0.448085 | + | 3.11650i | 0.0429188 | + | 0.298507i | 0.999963 | + | 0.00856580i | \(0.00272661\pi\) |
−0.957045 | + | 0.289941i | \(0.906364\pi\) | |||||||
\(110\) | 7.82782 | − | 4.43254i | 0.746354 | − | 0.422626i | ||||
\(111\) | 1.13199 | + | 0.162756i | 0.107444 | + | 0.0154481i | ||||
\(112\) | −3.84655 | + | 0.836766i | −0.363465 | + | 0.0790670i | ||||
\(113\) | −0.165972 | + | 2.32059i | −0.0156133 | + | 0.218302i | 0.983655 | + | 0.180062i | \(0.0576298\pi\) |
−0.999269 | + | 0.0382404i | \(0.987825\pi\) | |||||||
\(114\) | 3.50478 | 0.328253 | ||||||||
\(115\) | −10.3511 | + | 2.80246i | −0.965249 | + | 0.261331i | ||||
\(116\) | 4.71848 | 0.438099 | ||||||||
\(117\) | −0.334036 | + | 4.67043i | −0.0308816 | + | 0.431781i | ||||
\(118\) | 11.8736 | − | 2.58294i | 1.09305 | − | 0.237779i | ||||
\(119\) | −20.0367 | − | 2.88084i | −1.83676 | − | 0.264086i | ||||
\(120\) | 1.24182 | − | 4.48420i | 0.113362 | − | 0.409350i | ||||
\(121\) | 0.737824 | + | 5.13168i | 0.0670749 | + | 0.466516i | ||||
\(122\) | −1.79964 | + | 0.982678i | −0.162932 | + | 0.0889675i | ||||
\(123\) | −3.09994 | + | 14.2502i | −0.279512 | + | 1.28490i | ||||
\(124\) | 5.36826 | − | 2.45160i | 0.482084 | − | 0.220161i | ||||
\(125\) | 7.70490 | + | 8.10151i | 0.689147 | + | 0.724621i | ||||
\(126\) | 3.95688 | + | 3.42865i | 0.352507 | + | 0.305449i | ||||
\(127\) | 10.5953 | − | 0.757790i | 0.940180 | − | 0.0672430i | 0.407170 | − | 0.913352i | \(-0.366516\pi\) |
0.533009 | + | 0.846109i | \(0.321061\pi\) | |||||||
\(128\) | −0.479249 | + | 0.877679i | −0.0423600 | + | 0.0775766i | ||||
\(129\) | −0.871030 | − | 1.90729i | −0.0766899 | − | 0.167928i | ||||
\(130\) | 5.24631 | + | 5.86900i | 0.460132 | + | 0.514745i | ||||
\(131\) | −13.2034 | − | 3.87686i | −1.15358 | − | 0.338723i | −0.351648 | − | 0.936132i | \(-0.614379\pi\) |
−0.801937 | + | 0.597409i | \(0.796197\pi\) | |||||||
\(132\) | 6.70160 | + | 5.01675i | 0.583299 | + | 0.436652i | ||||
\(133\) | 2.31702 | + | 6.21216i | 0.200911 | + | 0.538663i | ||||
\(134\) | 0.805335 | − | 5.60123i | 0.0695703 | − | 0.483872i | ||||
\(135\) | 7.23760 | − | 2.82751i | 0.622914 | − | 0.243353i | ||||
\(136\) | −3.88629 | + | 3.36749i | −0.333247 | + | 0.288760i | ||||
\(137\) | 3.84645 | − | 3.84645i | 0.328625 | − | 0.328625i | −0.523439 | − | 0.852063i | \(-0.675351\pi\) |
0.852063 | + | 0.523439i | \(0.175351\pi\) | |||||||
\(138\) | −6.25456 | − | 7.77633i | −0.532423 | − | 0.661965i | ||||
\(139\) | 1.69372i | 0.143659i | 0.997417 | + | 0.0718297i | \(0.0228838\pi\) | ||||
−0.997417 | + | 0.0718297i | \(0.977116\pi\) | |||||||
\(140\) | 8.76915 | − | 0.763412i | 0.741128 | − | 0.0645201i | ||||
\(141\) | 20.6584 | + | 13.2764i | 1.73976 | + | 1.11807i | ||||
\(142\) | 9.80952 | − | 7.34331i | 0.823196 | − | 0.616237i | ||||
\(143\) | −13.2699 | + | 4.94941i | −1.10968 | + | 0.413891i | ||||
\(144\) | 1.31650 | − | 0.189284i | 0.109708 | − | 0.0157736i | ||||
\(145\) | −10.4654 | − | 1.34014i | −0.869102 | − | 0.111293i | ||||
\(146\) | 3.83578 | − | 2.46511i | 0.317451 | − | 0.204014i | ||||
\(147\) | −6.17832 | + | 16.5647i | −0.509579 | + | 1.36623i | ||||
\(148\) | 0.482365 | + | 0.263391i | 0.0396502 | + | 0.0216506i | ||||
\(149\) | −11.4940 | + | 13.2648i | −0.941625 | + | 1.08669i | 0.0544798 | + | 0.998515i | \(0.482650\pi\) |
−0.996105 | + | 0.0881782i | \(0.971895\pi\) | |||||||
\(150\) | −4.02791 | + | 9.59306i | −0.328877 | + | 0.783270i | ||||
\(151\) | 2.94415 | − | 0.864480i | 0.239592 | − | 0.0703504i | −0.159732 | − | 0.987160i | \(-0.551063\pi\) |
0.399324 | + | 0.916810i | \(0.369245\pi\) | |||||||
\(152\) | 1.57809 | + | 0.588596i | 0.128000 | + | 0.0477415i | ||||
\(153\) | 6.68313 | + | 1.45383i | 0.540299 | + | 0.117535i | ||||
\(154\) | −4.46167 | + | 15.1951i | −0.359532 | + | 1.22445i | ||||
\(155\) | −12.6029 | + | 3.91286i | −1.01229 | + | 0.314288i | ||||
\(156\) | −3.04320 | + | 6.66367i | −0.243651 | + | 0.533521i | ||||
\(157\) | −11.5603 | − | 15.4427i | −0.922611 | − | 1.23246i | −0.972309 | − | 0.233700i | \(-0.924917\pi\) |
0.0496976 | − | 0.998764i | \(-0.484174\pi\) | |||||||
\(158\) | −3.00581 | − | 13.8175i | −0.239129 | − | 1.09926i | ||||
\(159\) | 3.01968 | + | 3.48489i | 0.239476 | + | 0.276370i | ||||
\(160\) | 1.31223 | − | 1.81054i | 0.103741 | − | 0.143136i | ||||
\(161\) | 9.64852 | − | 16.2271i | 0.760410 | − | 1.27887i | ||||
\(162\) | 7.93452 | + | 7.93452i | 0.623395 | + | 0.623395i | ||||
\(163\) | −7.81148 | − | 0.558688i | −0.611842 | − | 0.0437598i | −0.238020 | − | 0.971260i | \(-0.576498\pi\) |
−0.373822 | + | 0.927500i | \(0.621953\pi\) | |||||||
\(164\) | −3.78900 | + | 5.89580i | −0.295871 | + | 0.460384i | ||||
\(165\) | −13.4390 | − | 13.0303i | −1.04622 | − | 1.01441i | ||||
\(166\) | −10.7518 | − | 4.91019i | −0.834503 | − | 0.381105i | ||||
\(167\) | 13.0278 | − | 17.4031i | 1.00812 | − | 1.34669i | 0.0710806 | − | 0.997471i | \(-0.477355\pi\) |
0.937040 | − | 0.349221i | \(-0.113554\pi\) | |||||||
\(168\) | 3.92571 | + | 7.18941i | 0.302875 | + | 0.554675i | ||||
\(169\) | 0.327742 | + | 0.509977i | 0.0252109 | + | 0.0392290i | ||||
\(170\) | 9.57606 | − | 6.36516i | 0.734450 | − | 0.488185i | ||||
\(171\) | −0.631124 | − | 2.14941i | −0.0482633 | − | 0.164370i | ||||
\(172\) | −0.0718842 | − | 1.00507i | −0.00548112 | − | 0.0766361i | ||||
\(173\) | 1.44037 | + | 20.1390i | 0.109509 | + | 1.53114i | 0.694139 | + | 0.719841i | \(0.255785\pi\) |
−0.584630 | + | 0.811300i | \(0.698760\pi\) | |||||||
\(174\) | −2.76621 | − | 9.42083i | −0.209705 | − | 0.714191i | ||||
\(175\) | −19.6664 | − | 0.797403i | −1.48664 | − | 0.0602780i | ||||
\(176\) | 2.17499 | + | 3.38435i | 0.163946 | + | 0.255105i | ||||
\(177\) | −12.1179 | − | 22.1923i | −0.910840 | − | 1.66808i | ||||
\(178\) | 4.26733 | − | 5.70048i | 0.319850 | − | 0.427269i | ||||
\(179\) | 3.50389 | + | 1.60017i | 0.261893 | + | 0.119602i | 0.542035 | − | 0.840356i | \(-0.317654\pi\) |
−0.280142 | + | 0.959959i | \(0.590381\pi\) | |||||||
\(180\) | −2.97369 | + | 0.0459109i | −0.221646 | + | 0.00342200i | ||||
\(181\) | 2.42084 | − | 3.76691i | 0.179940 | − | 0.279992i | −0.739553 | − | 0.673098i | \(-0.764963\pi\) |
0.919493 | + | 0.393106i | \(0.128599\pi\) | |||||||
\(182\) | −13.8231 | − | 0.988649i | −1.02464 | − | 0.0732835i | ||||
\(183\) | 3.01704 | + | 3.01704i | 0.223026 | + | 0.223026i | ||||
\(184\) | −1.51026 | − | 4.55183i | −0.111338 | − | 0.335565i | ||||
\(185\) | −0.995057 | − | 0.721193i | −0.0731581 | − | 0.0530231i | ||||
\(186\) | −8.04198 | − | 9.28094i | −0.589666 | − | 0.680511i | ||||
\(187\) | 4.39743 | + | 20.2146i | 0.321572 | + | 1.47824i | ||||
\(188\) | 7.07218 | + | 9.44733i | 0.515792 | + | 0.689017i | ||||
\(189\) | −5.68260 | + | 12.4432i | −0.413349 | + | 0.905107i | ||||
\(190\) | −3.33296 | − | 1.75369i | −0.241798 | − | 0.127226i | ||||
\(191\) | −5.03543 | + | 17.1491i | −0.364351 | + | 1.24087i | 0.549733 | + | 0.835341i | \(0.314730\pi\) |
−0.914084 | + | 0.405526i | \(0.867089\pi\) | |||||||
\(192\) | 2.03332 | + | 0.442321i | 0.146742 | + | 0.0319218i | ||||
\(193\) | 9.03751 | + | 3.37082i | 0.650534 | + | 0.242637i | 0.652997 | − | 0.757360i | \(-0.273511\pi\) |
−0.00246325 | + | 0.999997i | \(0.500784\pi\) | |||||||
\(194\) | 1.86357 | − | 0.547192i | 0.133796 | − | 0.0392861i | ||||
\(195\) | 8.64230 | − | 13.9154i | 0.618888 | − | 0.996503i | ||||
\(196\) | −5.56379 | + | 6.42096i | −0.397414 | + | 0.458640i | ||||
\(197\) | 5.90158 | + | 3.22251i | 0.420470 | + | 0.229594i | 0.675532 | − | 0.737331i | \(-0.263914\pi\) |
−0.255062 | + | 0.966925i | \(0.582096\pi\) | |||||||
\(198\) | 1.86988 | − | 5.01335i | 0.132887 | − | 0.356283i | ||||
\(199\) | 0.0437157 | − | 0.0280944i | 0.00309893 | − | 0.00199156i | −0.539090 | − | 0.842248i | \(-0.681232\pi\) |
0.542189 | + | 0.840256i | \(0.317596\pi\) | |||||||
\(200\) | −3.42470 | + | 3.64299i | −0.242163 | + | 0.257599i | ||||
\(201\) | −11.6554 | + | 1.67580i | −0.822112 | + | 0.118202i | ||||
\(202\) | −12.3218 | + | 4.59578i | −0.866956 | + | 0.323358i | ||||
\(203\) | 14.8695 | − | 11.1312i | 1.04364 | − | 0.781256i | ||||
\(204\) | 9.00181 | + | 5.78511i | 0.630253 | + | 0.405039i | ||||
\(205\) | 10.0784 | − | 12.0005i | 0.703903 | − | 0.838149i | ||||
\(206\) | − | 18.4974i | − | 1.28878i | ||||||
\(207\) | −3.64278 | + | 5.23612i | −0.253191 | + | 0.363936i | ||||
\(208\) | −2.48936 | + | 2.48936i | −0.172606 | + | 0.172606i | ||||
\(209\) | 5.12085 | − | 4.43724i | 0.354216 | − | 0.306930i | ||||
\(210\) | −6.66513 | − | 17.0608i | −0.459937 | − | 1.17731i | ||||
\(211\) | −0.0322764 | + | 0.224487i | −0.00222200 | + | 0.0154543i | −0.990902 | − | 0.134583i | \(-0.957030\pi\) |
0.988680 | + | 0.150038i | \(0.0479395\pi\) | |||||||
\(212\) | 0.774405 | + | 2.07626i | 0.0531864 | + | 0.142598i | ||||
\(213\) | −20.4124 | − | 15.2805i | −1.39863 | − | 1.04700i | ||||
\(214\) | 6.80179 | + | 1.99719i | 0.464961 | + | 0.136525i | ||||
\(215\) | −0.126025 | + | 2.24962i | −0.00859484 | + | 0.153423i | ||||
\(216\) | 1.44356 | + | 3.16096i | 0.0982220 | + | 0.215076i | ||||
\(217\) | 11.1337 | − | 20.3899i | 0.755808 | − | 1.38416i | ||||
\(218\) | 3.14053 | − | 0.224615i | 0.212703 | − | 0.0152129i | ||||
\(219\) | −7.17051 | − | 6.21328i | −0.484538 | − | 0.419855i | ||||
\(220\) | −3.86281 | − | 8.12409i | −0.260431 | − | 0.547726i | ||||
\(221\) | −16.4674 | + | 7.52041i | −1.10772 | + | 0.505877i | ||||
\(222\) | 0.243096 | − | 1.11750i | 0.0163156 | − | 0.0750014i | ||||
\(223\) | 9.43910 | − | 5.15414i | 0.632089 | − | 0.345147i | −0.131055 | − | 0.991375i | \(-0.541837\pi\) |
0.763144 | + | 0.646228i | \(0.223655\pi\) | |||||||
\(224\) | 0.560224 | + | 3.89645i | 0.0374316 | + | 0.260342i | ||||
\(225\) | 6.60856 | + | 0.742761i | 0.440571 | + | 0.0495174i | ||||
\(226\) | 2.30283 | + | 0.331097i | 0.153182 | + | 0.0220243i | ||||
\(227\) | −14.8434 | + | 3.22899i | −0.985194 | + | 0.214316i | −0.676176 | − | 0.736740i | \(-0.736364\pi\) |
−0.309018 | + | 0.951056i | \(0.600000\pi\) | |||||||
\(228\) | 0.250028 | − | 3.49585i | 0.0165585 | − | 0.231518i | ||||
\(229\) | −23.6433 | −1.56239 | −0.781196 | − | 0.624286i | \(-0.785390\pi\) | ||||
−0.781196 | + | 0.624286i | \(0.785390\pi\) | |||||||
\(230\) | 2.05688 | + | 10.5247i | 0.135626 | + | 0.693978i | ||||
\(231\) | 32.9539 | 2.16821 | ||||||||
\(232\) | 0.336612 | − | 4.70645i | 0.0220997 | − | 0.308994i | ||||
\(233\) | 25.3921 | − | 5.52371i | 1.66349 | − | 0.361870i | 0.720182 | − | 0.693785i | \(-0.244058\pi\) |
0.943309 | + | 0.331915i | \(0.107695\pi\) | |||||||
\(234\) | 4.63470 | + | 0.666369i | 0.302980 | + | 0.0435619i | ||||
\(235\) | −13.0026 | − | 22.9624i | −0.848193 | − | 1.49790i | ||||
\(236\) | −1.72931 | − | 12.0276i | −0.112568 | − | 0.782929i | ||||
\(237\) | −25.8256 | + | 14.1018i | −1.67755 | + | 0.916012i | ||||
\(238\) | −4.30290 | + | 19.7801i | −0.278916 | + | 1.28215i | ||||
\(239\) | 10.4380 | − | 4.76688i | 0.675179 | − | 0.308344i | −0.0481574 | − | 0.998840i | \(-0.515335\pi\) |
0.723336 | + | 0.690496i | \(0.242608\pi\) | |||||||
\(240\) | −4.38419 | − | 1.55855i | −0.282998 | − | 0.100604i | ||||
\(241\) | −5.81282 | − | 5.03684i | −0.374437 | − | 0.324451i | 0.447231 | − | 0.894419i | \(-0.352410\pi\) |
−0.821667 | + | 0.569967i | \(0.806956\pi\) | |||||||
\(242\) | 5.17124 | − | 0.369854i | 0.332420 | − | 0.0237751i | ||||
\(243\) | 6.19417 | − | 11.3438i | 0.397356 | − | 0.727704i | ||||
\(244\) | 0.851789 | + | 1.86516i | 0.0545302 | + | 0.119405i | ||||
\(245\) | 14.1639 | − | 12.6612i | 0.904900 | − | 0.808893i | ||||
\(246\) | 13.9927 | + | 4.10864i | 0.892145 | + | 0.261957i | ||||
\(247\) | 4.74680 | + | 3.55341i | 0.302031 | + | 0.226098i | ||||
\(248\) | −2.06239 | − | 5.52948i | −0.130962 | − | 0.351123i | ||||
\(249\) | −3.50035 | + | 24.3455i | −0.221826 | + | 1.54283i | ||||
\(250\) | 8.63053 | − | 7.10732i | 0.545843 | − | 0.449506i | ||||
\(251\) | 1.40073 | − | 1.21374i | 0.0884132 | − | 0.0766105i | −0.609533 | − | 0.792761i | \(-0.708643\pi\) |
0.697946 | + | 0.716150i | \(0.254098\pi\) | |||||||
\(252\) | 3.70220 | − | 3.70220i | 0.233217 | − | 0.233217i | ||||
\(253\) | −18.9838 | − | 3.44342i | −1.19350 | − | 0.216486i | ||||
\(254\) | − | 10.6224i | − | 0.666506i | ||||||
\(255\) | −18.3225 | − | 15.3878i | −1.14740 | − | 0.963623i | ||||
\(256\) | 0.841254 | + | 0.540641i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | −6.81053 | + | 5.09830i | −0.424829 | + | 0.318023i | −0.790211 | − | 0.612834i | \(-0.790029\pi\) |
0.365382 | + | 0.930858i | \(0.380938\pi\) | |||||||
\(258\) | −1.96457 | + | 0.732746i | −0.122309 | + | 0.0456188i | ||||
\(259\) | 2.14146 | − | 0.307895i | 0.133064 | − | 0.0191317i | ||||
\(260\) | 6.22831 | − | 4.81426i | 0.386264 | − | 0.298568i | ||||
\(261\) | −5.27948 | + | 3.39292i | −0.326792 | + | 0.210016i | ||||
\(262\) | −4.80890 | + | 12.8932i | −0.297095 | + | 0.796543i | ||||
\(263\) | −18.1118 | − | 9.88978i | −1.11682 | − | 0.609830i | −0.188672 | − | 0.982040i | \(-0.560418\pi\) |
−0.928149 | + | 0.372210i | \(0.878600\pi\) | |||||||
\(264\) | 5.48206 | − | 6.32663i | 0.337397 | − | 0.389377i | ||||
\(265\) | −1.12790 | − | 4.82500i | −0.0692862 | − | 0.296398i | ||||
\(266\) | 6.36163 | − | 1.86794i | 0.390057 | − | 0.114531i | ||||
\(267\) | −13.8832 | − | 5.17817i | −0.849639 | − | 0.316899i | ||||
\(268\) | −5.52950 | − | 1.20287i | −0.337768 | − | 0.0734770i | ||||
\(269\) | 4.12067 | − | 14.0337i | 0.251242 | − | 0.855651i | −0.733211 | − | 0.680001i | \(-0.761979\pi\) |
0.984453 | − | 0.175650i | \(-0.0562026\pi\) | |||||||
\(270\) | −2.30398 | − | 7.42087i | −0.140216 | − | 0.451620i | ||||
\(271\) | 4.61184 | − | 10.0985i | 0.280149 | − | 0.613441i | −0.716286 | − | 0.697807i | \(-0.754159\pi\) |
0.996435 | + | 0.0843662i | \(0.0268866\pi\) | |||||||
\(272\) | 3.08166 | + | 4.11662i | 0.186853 | + | 0.249607i | ||||
\(273\) | 6.12988 | + | 28.1786i | 0.370997 | + | 1.70545i | ||||
\(274\) | −3.56225 | − | 4.11106i | −0.215203 | − | 0.248358i | ||||
\(275\) | 6.26014 | + | 19.1160i | 0.377501 | + | 1.15274i | ||||
\(276\) | −8.20271 | + | 5.68386i | −0.493745 | + | 0.342128i | ||||
\(277\) | 20.3447 | + | 20.3447i | 1.22239 | + | 1.22239i | 0.966779 | + | 0.255613i | \(0.0822773\pi\) |
0.255613 | + | 0.966779i | \(0.417723\pi\) | |||||||
\(278\) | 1.68940 | + | 0.120828i | 0.101324 | + | 0.00724681i | ||||
\(279\) | −4.24365 | + | 6.60325i | −0.254061 | + | 0.395326i | ||||
\(280\) | −0.135883 | − | 8.80126i | −0.00812056 | − | 0.525976i | ||||
\(281\) | −4.91139 | − | 2.24296i | −0.292989 | − | 0.133804i | 0.263498 | − | 0.964660i | \(-0.415124\pi\) |
−0.556487 | + | 0.830856i | \(0.687851\pi\) | |||||||
\(282\) | 14.7163 | − | 19.6587i | 0.876343 | − | 1.17066i | ||||
\(283\) | −4.17894 | − | 7.65315i | −0.248412 | − | 0.454933i | 0.723485 | − | 0.690340i | \(-0.242539\pi\) |
−0.971897 | + | 0.235408i | \(0.924357\pi\) | |||||||
\(284\) | −6.62480 | − | 10.3084i | −0.393109 | − | 0.611690i | ||||
\(285\) | −1.54744 | + | 7.68263i | −0.0916627 | + | 0.455080i | ||||
\(286\) | 3.99014 | + | 13.5892i | 0.235942 | + | 0.803544i | ||||
\(287\) | 1.96814 | + | 27.5182i | 0.116176 | + | 1.62435i | ||||
\(288\) | −0.0948835 | − | 1.32665i | −0.00559107 | − | 0.0781733i | ||||
\(289\) | 2.66046 | + | 9.06071i | 0.156498 | + | 0.532983i | ||||
\(290\) | −2.08332 | + | 10.3431i | −0.122337 | + | 0.607368i | ||||
\(291\) | −2.18503 | − | 3.39997i | −0.128089 | − | 0.199310i | ||||
\(292\) | −2.18518 | − | 4.00186i | −0.127878 | − | 0.234191i | ||||
\(293\) | 13.5146 | − | 18.0534i | 0.789531 | − | 1.05469i | −0.207541 | − | 0.978226i | \(-0.566546\pi\) |
0.997072 | − | 0.0764641i | \(-0.0243631\pi\) | |||||||
\(294\) | 16.0817 | + | 7.34429i | 0.937907 | + | 0.428328i | ||||
\(295\) | 0.419445 | + | 27.1678i | 0.0244210 | + | 1.58177i | ||||
\(296\) | 0.297132 | − | 0.462346i | 0.0172704 | − | 0.0268733i | ||||
\(297\) | 13.9442 | + | 0.997310i | 0.809126 | + | 0.0578698i | ||||
\(298\) | 12.4110 | + | 12.4110i | 0.718951 | + | 0.718951i | ||||
\(299\) | −0.586812 | − | 16.8734i | −0.0339362 | − | 0.975816i | ||||
\(300\) | 9.28127 | + | 4.70200i | 0.535854 | + | 0.271470i | ||||
\(301\) | −2.59756 | − | 2.99775i | −0.149721 | − | 0.172787i | ||||
\(302\) | −0.652245 | − | 2.99832i | −0.0375325 | − | 0.172534i | ||||
\(303\) | 16.3995 | + | 21.9071i | 0.942126 | + | 1.25853i | ||||
\(304\) | 0.699676 | − | 1.53208i | 0.0401292 | − | 0.0878706i | ||||
\(305\) | −1.35949 | − | 4.37877i | −0.0778441 | − | 0.250727i | ||||
\(306\) | 1.92689 | − | 6.56239i | 0.110153 | − | 0.375147i | ||||
\(307\) | 27.5511 | + | 5.99337i | 1.57242 | + | 0.342060i | 0.912437 | − | 0.409218i | \(-0.134198\pi\) |
0.659987 | + | 0.751277i | \(0.270562\pi\) | |||||||
\(308\) | 14.8381 | + | 5.53431i | 0.845477 | + | 0.315347i | ||||
\(309\) | −36.9317 | + | 10.8441i | −2.10097 | + | 0.616901i | ||||
\(310\) | 3.00381 | + | 12.8499i | 0.170605 | + | 0.729826i | ||||
\(311\) | 8.00719 | − | 9.24079i | 0.454046 | − | 0.523997i | −0.481859 | − | 0.876249i | \(-0.660038\pi\) |
0.935905 | + | 0.352252i | \(0.114584\pi\) | |||||||
\(312\) | 6.42959 | + | 3.51082i | 0.364004 | + | 0.198761i | ||||
\(313\) | −8.48767 | + | 22.7563i | −0.479752 | + | 1.28626i | 0.441488 | + | 0.897267i | \(0.354451\pi\) |
−0.921239 | + | 0.388996i | \(0.872822\pi\) | |||||||
\(314\) | −16.2281 | + | 10.4292i | −0.915804 | + | 0.588551i | ||||
\(315\) | −9.26281 | + | 7.15981i | −0.521900 | + | 0.403410i | ||||
\(316\) | −13.9967 | + | 2.01242i | −0.787375 | + | 0.113208i | ||||
\(317\) | −23.7369 | + | 8.85341i | −1.33320 | + | 0.497257i | −0.912178 | − | 0.409794i | \(-0.865601\pi\) |
−0.421020 | + | 0.907051i | \(0.638328\pi\) | |||||||
\(318\) | 3.69143 | − | 2.76337i | 0.207005 | − | 0.154962i | ||||
\(319\) | −15.9690 | − | 10.2626i | −0.894092 | − | 0.574598i | ||||
\(320\) | −1.71231 | − | 1.43805i | −0.0957211 | − | 0.0803895i | ||||
\(321\) | − | 14.7512i | − | 0.823332i | ||||||
\(322\) | −15.4974 | − | 10.7816i | −0.863636 | − | 0.600833i | ||||
\(323\) | 6.12431 | − | 6.12431i | 0.340766 | − | 0.340766i | ||||
\(324\) | 8.48035 | − | 7.34827i | 0.471131 | − | 0.408237i | ||||
\(325\) | −15.1815 | + | 8.90884i | −0.842117 | + | 0.494174i | ||||
\(326\) | −1.11453 | + | 7.75172i | −0.0617281 | + | 0.429328i | ||||
\(327\) | −2.28960 | − | 6.13865i | −0.126615 | − | 0.339468i | ||||
\(328\) | 5.61047 | + | 4.19995i | 0.309786 | + | 0.231903i | ||||
\(329\) | 44.5737 | + | 13.0880i | 2.45743 | + | 0.721566i | ||||
\(330\) | −13.9559 | + | 12.4752i | −0.768245 | + | 0.686736i | ||||
\(331\) | −3.43651 | − | 7.52492i | −0.188888 | − | 0.413607i | 0.791368 | − | 0.611340i | \(-0.209369\pi\) |
−0.980256 | + | 0.197733i | \(0.936642\pi\) | |||||||
\(332\) | −5.66470 | + | 10.3741i | −0.310891 | + | 0.569354i | ||||
\(333\) | −0.729114 | + | 0.0521473i | −0.0399552 | + | 0.00285765i | ||||
\(334\) | −16.4294 | − | 14.2361i | −0.898975 | − | 0.778966i | ||||
\(335\) | 11.9226 | + | 4.23841i | 0.651399 | + | 0.231569i | ||||
\(336\) | 7.45115 | − | 3.40283i | 0.406493 | − | 0.185639i | ||||
\(337\) | −0.881054 | + | 4.05014i | −0.0479941 | + | 0.220625i | −0.994897 | − | 0.100894i | \(-0.967830\pi\) |
0.946903 | + | 0.321519i | \(0.104193\pi\) | |||||||
\(338\) | 0.532058 | − | 0.290526i | 0.0289402 | − | 0.0158025i | ||||
\(339\) | −0.688972 | − | 4.79190i | −0.0374198 | − | 0.260261i | ||||
\(340\) | −5.66579 | − | 10.0057i | −0.307271 | − | 0.542638i | ||||
\(341\) | −23.5003 | − | 3.37884i | −1.27261 | − | 0.182974i | ||||
\(342\) | −2.18896 | + | 0.476179i | −0.118365 | + | 0.0257488i | ||||
\(343\) | −0.420159 | + | 5.87459i | −0.0226864 | + | 0.317198i | ||||
\(344\) | −1.00764 | −0.0543283 | ||||||||
\(345\) | 19.8076 | − | 10.2768i | 1.06640 | − | 0.553286i | ||||
\(346\) | 20.1905 | 1.08545 | ||||||||
\(347\) | −1.76391 | + | 24.6627i | −0.0946917 | + | 1.32396i | 0.698771 | + | 0.715345i | \(0.253730\pi\) |
−0.793463 | + | 0.608618i | \(0.791724\pi\) | |||||||
\(348\) | −9.59417 | + | 2.08708i | −0.514301 | + | 0.111879i | ||||
\(349\) | −17.4342 | − | 2.50666i | −0.933233 | − | 0.134179i | −0.341107 | − | 0.940024i | \(-0.610802\pi\) |
−0.592126 | + | 0.805846i | \(0.701711\pi\) | |||||||
\(350\) | −2.19836 | + | 19.5594i | −0.117507 | + | 1.04549i | ||||
\(351\) | 1.74103 | + | 12.1091i | 0.0929291 | + | 0.646336i | ||||
\(352\) | 3.53089 | − | 1.92801i | 0.188197 | − | 0.102763i | ||||
\(353\) | −0.654948 | + | 3.01075i | −0.0348594 | + | 0.160246i | −0.991286 | − | 0.131727i | \(-0.957948\pi\) |
0.956427 | + | 0.291972i | \(0.0943116\pi\) | |||||||
\(354\) | −23.0003 | + | 10.5039i | −1.22245 | + | 0.558275i | ||||
\(355\) | 11.7657 | + | 24.7451i | 0.624460 | + | 1.31334i | ||||
\(356\) | −5.38153 | − | 4.66312i | −0.285221 | − | 0.247145i | ||||
\(357\) | 42.0152 | − | 3.00499i | 2.22368 | − | 0.159041i | ||||
\(358\) | 1.84606 | − | 3.38080i | 0.0975672 | − | 0.178681i | ||||
\(359\) | −0.926627 | − | 2.02903i | −0.0489055 | − | 0.107088i | 0.883602 | − | 0.468239i | \(-0.155111\pi\) |
−0.932507 | + | 0.361151i | \(0.882384\pi\) | |||||||
\(360\) | −0.166347 | + | 2.96939i | −0.00876725 | + | 0.156501i | ||||
\(361\) | 15.5085 | + | 4.55370i | 0.816235 | + | 0.239668i | ||||
\(362\) | −3.58461 | − | 2.68340i | −0.188403 | − | 0.141037i | ||||
\(363\) | −3.77008 | − | 10.1080i | −0.197878 | − | 0.530531i | ||||
\(364\) | −1.97226 | + | 13.7174i | −0.103374 | + | 0.718985i | ||||
\(365\) | 3.71003 | + | 9.49660i | 0.194192 | + | 0.497075i | ||||
\(366\) | 3.22458 | − | 2.79412i | 0.168552 | − | 0.146051i | ||||
\(367\) | −11.5918 | + | 11.5918i | −0.605086 | + | 0.605086i | −0.941658 | − | 0.336572i | \(-0.890733\pi\) |
0.336572 | + | 0.941658i | \(0.390733\pi\) | |||||||
\(368\) | −4.64797 | + | 1.18169i | −0.242292 | + | 0.0615997i | ||||
\(369\) | − | 9.32134i | − | 0.485250i | ||||||
\(370\) | −0.790342 | + | 0.941073i | −0.0410879 | + | 0.0489240i | ||||
\(371\) | 7.33845 | + | 4.71614i | 0.380993 | + | 0.244850i | ||||
\(372\) | −9.83100 | + | 7.35939i | −0.509713 | + | 0.381567i | ||||
\(373\) | 29.1255 | − | 10.8633i | 1.50806 | − | 0.562478i | 0.546596 | − | 0.837397i | \(-0.315924\pi\) |
0.961468 | + | 0.274918i | \(0.0886508\pi\) | |||||||
\(374\) | 20.4768 | − | 2.94413i | 1.05883 | − | 0.152237i | ||||
\(375\) | −19.2500 | − | 13.0649i | −0.994065 | − | 0.674669i | ||||
\(376\) | 9.92778 | − | 6.38020i | 0.511986 | − | 0.329033i | ||||
\(377\) | 5.80506 | − | 15.5640i | 0.298976 | − | 0.801585i | ||||
\(378\) | 12.0061 | + | 6.55581i | 0.617525 | + | 0.337194i | ||||
\(379\) | 16.2692 | − | 18.7757i | 0.835692 | − | 0.964441i | −0.164065 | − | 0.986449i | \(-0.552461\pi\) |
0.999758 | + | 0.0220089i | \(0.00700623\pi\) | |||||||
\(380\) | −1.98699 | + | 3.19936i | −0.101931 | + | 0.164124i | ||||
\(381\) | −21.2084 | + | 6.22735i | −1.08654 | + | 0.319037i | ||||
\(382\) | 16.7462 | + | 6.24601i | 0.856810 | + | 0.319574i | ||||
\(383\) | −15.4232 | − | 3.35511i | −0.788089 | − | 0.171438i | −0.199529 | − | 0.979892i | \(-0.563941\pi\) |
−0.588560 | + | 0.808454i | \(0.700305\pi\) | |||||||
\(384\) | 0.586250 | − | 1.99658i | 0.0299169 | − | 0.101888i | ||||
\(385\) | −31.3383 | − | 16.4892i | −1.59715 | − | 0.840366i | ||||
\(386\) | 4.00696 | − | 8.77401i | 0.203949 | − | 0.446585i | ||||
\(387\) | 0.803149 | + | 1.07288i | 0.0408264 | + | 0.0545376i | ||||
\(388\) | −0.412853 | − | 1.89785i | −0.0209594 | − | 0.0963490i | ||||
\(389\) | 4.58691 | + | 5.29358i | 0.232566 | + | 0.268395i | 0.860022 | − | 0.510256i | \(-0.170449\pi\) |
−0.627457 | + | 0.778652i | \(0.715904\pi\) | |||||||
\(390\) | −13.2634 | − | 9.61299i | −0.671619 | − | 0.486773i | ||||
\(391\) | −24.5178 | − | 2.65917i | −1.23992 | − | 0.134480i | ||||
\(392\) | 6.00768 | + | 6.00768i | 0.303434 | + | 0.303434i | ||||
\(393\) | 28.5615 | + | 2.04276i | 1.44074 | + | 0.103044i | ||||
\(394\) | 3.63531 | − | 5.65665i | 0.183144 | − | 0.284978i | ||||
\(395\) | 31.6156 | − | 0.488114i | 1.59075 | − | 0.0245597i | ||||
\(396\) | −4.86718 | − | 2.22277i | −0.244585 | − | 0.111698i | ||||
\(397\) | 11.9505 | − | 15.9640i | 0.599777 | − | 0.801208i | −0.393208 | − | 0.919449i | \(-0.628635\pi\) |
0.992985 | + | 0.118242i | \(0.0377257\pi\) | |||||||
\(398\) | −0.0249042 | − | 0.0456086i | −0.00124833 | − | 0.00228615i | ||||
\(399\) | −7.45901 | − | 11.6064i | −0.373418 | − | 0.581049i | ||||
\(400\) | 3.38940 | + | 3.67587i | 0.169470 | + | 0.183793i | ||||
\(401\) | 7.00904 | + | 23.8706i | 0.350015 | + | 1.19204i | 0.926929 | + | 0.375236i | \(0.122438\pi\) |
−0.576915 | + | 0.816804i | \(0.695743\pi\) | |||||||
\(402\) | 0.840040 | + | 11.7453i | 0.0418974 | + | 0.585802i | ||||
\(403\) | −1.48217 | − | 20.7235i | −0.0738322 | − | 1.03231i | ||||
\(404\) | 3.70504 | + | 12.6182i | 0.184333 | + | 0.627780i | ||||
\(405\) | −20.8961 | + | 13.8895i | −1.03834 | + | 0.690177i | ||||
\(406\) | −10.0420 | − | 15.6257i | −0.498379 | − | 0.775492i | ||||
\(407\) | −1.05962 | − | 1.94055i | −0.0525235 | − | 0.0961896i | ||||
\(408\) | 6.41255 | − | 8.56617i | 0.317469 | − | 0.424088i | ||||
\(409\) | −14.3325 | − | 6.54543i | −0.708696 | − | 0.323651i | 0.0282514 | − | 0.999601i | \(-0.491006\pi\) |
−0.736947 | + | 0.675950i | \(0.763733\pi\) | |||||||
\(410\) | −11.2509 | − | 10.9088i | −0.555643 | − | 0.538747i | ||||
\(411\) | −6.11970 | + | 9.52244i | −0.301863 | + | 0.469707i | ||||
\(412\) | −18.4503 | − | 1.31959i | −0.908982 | − | 0.0650117i | ||||
\(413\) | −33.8235 | − | 33.8235i | −1.66435 | − | 1.66435i | ||||
\(414\) | 4.96291 | + | 4.00704i | 0.243914 | + | 0.196935i | ||||
\(415\) | 15.5105 | − | 21.4005i | 0.761382 | − | 1.05051i | ||||
\(416\) | 2.30543 | + | 2.66060i | 0.113033 | + | 0.130447i | ||||
\(417\) | −0.749168 | − | 3.44387i | −0.0366869 | − | 0.168647i | ||||
\(418\) | −4.06062 | − | 5.42435i | −0.198611 | − | 0.265313i | ||||
\(419\) | −3.72558 | + | 8.15789i | −0.182007 | + | 0.398539i | −0.978540 | − | 0.206055i | \(-0.933937\pi\) |
0.796534 | + | 0.604594i | \(0.206665\pi\) | |||||||
\(420\) | −17.4928 | + | 5.43104i | −0.853561 | + | 0.265008i | ||||
\(421\) | −7.09736 | + | 24.1714i | −0.345904 | + | 1.17804i | 0.584466 | + | 0.811418i | \(0.301304\pi\) |
−0.930370 | + | 0.366623i | \(0.880514\pi\) | |||||||
\(422\) | 0.221613 | + | 0.0482089i | 0.0107879 | + | 0.00234677i | ||||
\(423\) | −14.7063 | − | 5.48518i | −0.715046 | − | 0.266698i | ||||
\(424\) | 2.12622 | − | 0.624314i | 0.103258 | − | 0.0303193i | ||||
\(425\) | 9.72465 | + | 23.8015i | 0.471715 | + | 1.15454i | ||||
\(426\) | −16.6978 | + | 19.2703i | −0.809010 | + | 0.933647i | ||||
\(427\) | 7.08431 | + | 3.86833i | 0.342834 | + | 0.187201i | ||||
\(428\) | 2.47733 | − | 6.64199i | 0.119746 | − | 0.321052i | ||||
\(429\) | 24.7927 | − | 15.9333i | 1.19700 | − | 0.769266i | ||||
\(430\) | 2.23490 | + | 0.286190i | 0.107777 | + | 0.0138013i | ||||
\(431\) | 1.09186 | − | 0.156986i | 0.0525932 | − | 0.00756176i | −0.115968 | − | 0.993253i | \(-0.536997\pi\) |
0.168561 | + | 0.985691i | \(0.446088\pi\) | |||||||
\(432\) | 3.25589 | − | 1.21438i | 0.156649 | − | 0.0584271i | ||||
\(433\) | 4.23513 | − | 3.17038i | 0.203527 | − | 0.152359i | −0.492652 | − | 0.870226i | \(-0.663973\pi\) |
0.696180 | + | 0.717868i | \(0.254882\pi\) | |||||||
\(434\) | −19.5437 | − | 12.5600i | −0.938128 | − | 0.602898i | ||||
\(435\) | 21.8722 | − | 1.90412i | 1.04869 | − | 0.0912956i | ||||
\(436\) | − | 3.14855i | − | 0.150788i | ||||||
\(437\) | 3.08415 | + | 7.46556i | 0.147535 | + | 0.357126i | ||||
\(438\) | −6.70899 | + | 6.70899i | −0.320568 | + | 0.320568i | ||||
\(439\) | 6.75769 | − | 5.85557i | 0.322527 | − | 0.279471i | −0.478515 | − | 0.878079i | \(-0.658825\pi\) |
0.801042 | + | 0.598608i | \(0.204279\pi\) | |||||||
\(440\) | −8.37896 | + | 3.27340i | −0.399451 | + | 0.156053i | ||||
\(441\) | 1.60818 | − | 11.1851i | 0.0765800 | − | 0.532626i | ||||
\(442\) | 6.32648 | + | 16.9619i | 0.300920 | + | 0.806797i | ||||
\(443\) | −6.96805 | − | 5.21622i | −0.331062 | − | 0.247830i | 0.420796 | − | 0.907156i | \(-0.361751\pi\) |
−0.751858 | + | 0.659326i | \(0.770842\pi\) | |||||||
\(444\) | −1.09731 | − | 0.322198i | −0.0520759 | − | 0.0152909i | ||||
\(445\) | 10.6116 | + | 11.8711i | 0.503037 | + | 0.562743i | ||||
\(446\) | −4.46763 | − | 9.78274i | −0.211548 | − | 0.463226i | ||||
\(447\) | 17.5037 | − | 32.0556i | 0.827895 | − | 1.51618i | ||||
\(448\) | 3.92648 | − | 0.280828i | 0.185509 | − | 0.0132679i | ||||
\(449\) | 15.8364 | + | 13.7223i | 0.747365 | + | 0.647595i | 0.942890 | − | 0.333103i | \(-0.108096\pi\) |
−0.195526 | + | 0.980699i | \(0.562641\pi\) | |||||||
\(450\) | 1.21232 | − | 6.53873i | 0.0571492 | − | 0.308239i | ||||
\(451\) | 25.6466 | − | 11.7124i | 1.20765 | − | 0.551516i | ||||
\(452\) | 0.494536 | − | 2.27335i | 0.0232610 | − | 0.106929i | ||||
\(453\) | −5.60402 | + | 3.06003i | −0.263300 | + | 0.143773i | ||||
\(454\) | 2.16185 | + | 15.0360i | 0.101461 | + | 0.705674i | ||||
\(455\) | 8.27040 | − | 29.8644i | 0.387722 | − | 1.40006i | ||||
\(456\) | −3.46910 | − | 0.498782i | −0.162456 | − | 0.0233576i | ||||
\(457\) | −20.8109 | + | 4.52714i | −0.973495 | + | 0.211771i | −0.671063 | − | 0.741400i | \(-0.734162\pi\) |
−0.302432 | + | 0.953171i | \(0.597798\pi\) | |||||||
\(458\) | −1.68669 | + | 23.5830i | −0.0788139 | + | 1.10196i | ||||
\(459\) | 17.8694 | 0.834073 | ||||||||
\(460\) | 10.6446 | − | 1.30081i | 0.496308 | − | 0.0606507i | ||||
\(461\) | −27.4064 | −1.27644 | −0.638221 | − | 0.769853i | \(-0.720329\pi\) | ||||
−0.638221 | + | 0.769853i | \(0.720329\pi\) | |||||||
\(462\) | 2.35090 | − | 32.8699i | 0.109374 | − | 1.52925i | ||||
\(463\) | −6.92573 | + | 1.50660i | −0.321866 | + | 0.0700177i | −0.370596 | − | 0.928794i | \(-0.620846\pi\) |
0.0487295 | + | 0.998812i | \(0.484483\pi\) | |||||||
\(464\) | −4.67045 | − | 0.671509i | −0.216820 | − | 0.0311740i | ||||
\(465\) | 23.8949 | − | 13.5306i | 1.10810 | − | 0.627467i | ||||
\(466\) | −3.69819 | − | 25.7215i | −0.171315 | − | 1.19152i | ||||
\(467\) | 12.2089 | − | 6.66654i | 0.564958 | − | 0.308491i | −0.171270 | − | 0.985224i | \(-0.554787\pi\) |
0.736228 | + | 0.676734i | \(0.236605\pi\) | |||||||
\(468\) | 0.995307 | − | 4.57535i | 0.0460081 | − | 0.211496i | ||||
\(469\) | −20.2630 | + | 9.25381i | −0.935659 | + | 0.427301i | ||||
\(470\) | −23.8315 | + | 11.3313i | −1.09926 | + | 0.522674i | ||||
\(471\) | 30.3364 | + | 26.2866i | 1.39783 | + | 1.21122i | ||||
\(472\) | −12.1203 | + | 0.866862i | −0.557882 | + | 0.0399005i | ||||
\(473\) | −1.94274 | + | 3.55787i | −0.0893274 | + | 0.163591i | ||||
\(474\) | 12.2235 | + | 26.7658i | 0.561445 | + | 1.22939i | ||||
\(475\) | 5.31575 | − | 6.53169i | 0.243903 | − | 0.299695i | ||||
\(476\) | 19.4228 | + | 5.70304i | 0.890240 | + | 0.261398i | ||||
\(477\) | −2.35946 | − | 1.76627i | −0.108032 | − | 0.0808719i | ||||
\(478\) | −4.01010 | − | 10.7515i | −0.183418 | − | 0.491761i | ||||
\(479\) | −3.33934 | + | 23.2256i | −0.152578 | + | 1.06120i | 0.759299 | + | 0.650742i | \(0.225542\pi\) |
−0.911877 | + | 0.410463i | \(0.865367\pi\) | |||||||
\(480\) | −1.86735 | + | 4.26183i | −0.0852324 | + | 0.194525i | ||||
\(481\) | 1.46225 | − | 1.26704i | 0.0666727 | − | 0.0577722i | ||||
\(482\) | −5.43869 | + | 5.43869i | −0.247725 | + | 0.247725i | ||||
\(483\) | −12.4409 | + | 37.2625i | −0.566082 | + | 1.69550i | ||||
\(484\) | − | 5.18445i | − | 0.235657i | ||||||
\(485\) | 0.376660 | + | 4.32662i | 0.0171033 | + | 0.196462i | ||||
\(486\) | −10.8730 | − | 6.98765i | −0.493209 | − | 0.316966i | ||||
\(487\) | 10.8699 | − | 8.13714i | 0.492564 | − | 0.368729i | −0.323932 | − | 0.946081i | \(-0.605005\pi\) |
0.816496 | + | 0.577352i | \(0.195914\pi\) | |||||||
\(488\) | 1.92117 | − | 0.716560i | 0.0869674 | − | 0.0324372i | ||||
\(489\) | 16.1304 | − | 2.31919i | 0.729440 | − | 0.104878i | ||||
\(490\) | −11.6185 | − | 15.0311i | −0.524869 | − | 0.679035i | ||||
\(491\) | 25.3922 | − | 16.3185i | 1.14593 | − | 0.736446i | 0.177107 | − | 0.984192i | \(-0.443326\pi\) |
0.968825 | + | 0.247746i | \(0.0796898\pi\) | |||||||
\(492\) | 5.09641 | − | 13.6640i | 0.229764 | − | 0.616020i | ||||
\(493\) | −21.2958 | − | 11.6284i | −0.959116 | − | 0.523717i | ||||
\(494\) | 3.88299 | − | 4.48120i | 0.174704 | − | 0.201619i | ||||
\(495\) | 10.1639 | + | 6.31238i | 0.456833 | + | 0.283720i | ||||
\(496\) | −5.66252 | + | 1.66267i | −0.254255 | + | 0.0746559i | ||||
\(497\) | −45.1952 | − | 16.8569i | −2.02728 | − | 0.756136i | ||||
\(498\) | 24.0337 | + | 5.22822i | 1.07698 | + | 0.234282i | ||||
\(499\) | 0.908955 | − | 3.09562i | 0.0406904 | − | 0.138579i | −0.936643 | − | 0.350286i | \(-0.886084\pi\) |
0.977333 | + | 0.211708i | \(0.0679024\pi\) | |||||||
\(500\) | −6.47351 | − | 9.11557i | −0.289504 | − | 0.407661i | ||||
\(501\) | −18.7919 | + | 41.1485i | −0.839560 | + | 1.83838i | ||||
\(502\) | −1.11072 | − | 1.48375i | −0.0495738 | − | 0.0662228i | ||||
\(503\) | 6.06289 | + | 27.8706i | 0.270331 | + | 1.24269i | 0.889318 | + | 0.457290i | \(0.151180\pi\) |
−0.618987 | + | 0.785401i | \(0.712457\pi\) | |||||||
\(504\) | −3.42865 | − | 3.95688i | −0.152724 | − | 0.176253i | ||||
\(505\) | −4.63379 | − | 29.0390i | −0.206201 | − | 1.29222i | ||||
\(506\) | −4.78894 | + | 18.6898i | −0.212894 | + | 0.830863i | ||||
\(507\) | −0.891978 | − | 0.891978i | −0.0396141 | − | 0.0396141i | ||||
\(508\) | −10.5953 | − | 0.757790i | −0.470090 | − | 0.0336215i | ||||
\(509\) | −15.1441 | + | 23.5647i | −0.671250 | + | 1.04448i | 0.323898 | + | 0.946092i | \(0.395007\pi\) |
−0.995148 | + | 0.0983929i | \(0.968630\pi\) | |||||||
\(510\) | −16.6557 | + | 17.1781i | −0.737528 | + | 0.760659i | ||||
\(511\) | −16.3269 | − | 7.45625i | −0.722260 | − | 0.329845i | ||||
\(512\) | 0.599278 | − | 0.800541i | 0.0264846 | − | 0.0353793i | ||||
\(513\) | −2.80498 | − | 5.13693i | −0.123843 | − | 0.226801i | ||||
\(514\) | 4.59945 | + | 7.15689i | 0.202873 | + | 0.315677i | ||||
\(515\) | 40.5472 | + | 8.16707i | 1.78672 | + | 0.359884i | ||||
\(516\) | 0.590729 | + | 2.01184i | 0.0260054 | + | 0.0885662i | ||||
\(517\) | −3.38690 | − | 47.3550i | −0.148956 | − | 2.08267i | ||||
\(518\) | −0.154341 | − | 2.15796i | −0.00678134 | − | 0.0948155i | ||||
\(519\) | −11.8366 | − | 40.3119i | −0.519571 | − | 1.76950i | ||||
\(520\) | −4.35767 | − | 6.55589i | −0.191096 | − | 0.287495i | ||||
\(521\) | −8.44469 | − | 13.1402i | −0.369969 | − | 0.575683i | 0.605493 | − | 0.795850i | \(-0.292976\pi\) |
−0.975462 | + | 0.220168i | \(0.929340\pi\) | |||||||
\(522\) | 3.00764 | + | 5.50808i | 0.131641 | + | 0.241082i | ||||
\(523\) | 4.59043 | − | 6.13209i | 0.200725 | − | 0.268138i | −0.688872 | − | 0.724883i | \(-0.741894\pi\) |
0.889598 | + | 0.456745i | \(0.150985\pi\) | |||||||
\(524\) | 12.5173 | + | 5.71644i | 0.546819 | + | 0.249724i | ||||
\(525\) | 40.3408 | − | 7.07750i | 1.76062 | − | 0.308887i | ||||
\(526\) | −11.1567 | + | 17.3601i | −0.486454 | + | 0.756937i | ||||
\(527\) | −30.2704 | − | 2.16498i | −1.31860 | − | 0.0943079i | ||||
\(528\) | −5.91943 | − | 5.91943i | −0.257610 | − | 0.257610i | ||||
\(529\) | 11.0605 | − | 20.1659i | 0.480892 | − | 0.876780i | ||||
\(530\) | −4.89317 | + | 0.780811i | −0.212546 | + | 0.0339163i | ||||
\(531\) | 10.5836 | + | 12.2141i | 0.459289 | + | 0.530048i | ||||
\(532\) | −1.40935 | − | 6.47868i | −0.0611031 | − | 0.280886i | ||||
\(533\) | 14.7858 | + | 19.7516i | 0.640445 | + | 0.855535i | ||||
\(534\) | −6.15539 | + | 13.4784i | −0.266370 | + | 0.583269i | ||||
\(535\) | −7.38108 | + | 14.0280i | −0.319112 | + | 0.606484i | ||||
\(536\) | −1.59428 | + | 5.42960i | −0.0688622 | + | 0.234523i | ||||
\(537\) | −7.83231 | − | 1.70381i | −0.337989 | − | 0.0735250i | ||||
\(538\) | −13.7040 | − | 5.11133i | −0.590821 | − | 0.220365i | ||||
\(539\) | 32.7954 | − | 9.62959i | 1.41260 | − | 0.414776i | ||||
\(540\) | −7.56633 | + | 1.76871i | −0.325603 | + | 0.0761132i | ||||
\(541\) | 14.3767 | − | 16.5916i | 0.618102 | − | 0.713328i | −0.357243 | − | 0.934011i | \(-0.616283\pi\) |
0.975345 | + | 0.220684i | \(0.0708288\pi\) | |||||||
\(542\) | −9.74378 | − | 5.32050i | −0.418531 | − | 0.228535i | ||||
\(543\) | −3.25617 | + | 8.73012i | −0.139735 | + | 0.374645i | ||||
\(544\) | 4.32598 | − | 2.78014i | 0.185475 | − | 0.119197i | ||||
\(545\) | −0.894253 | + | 6.98335i | −0.0383056 | + | 0.299134i | ||||
\(546\) | 28.5441 | − | 4.10402i | 1.22157 | − | 0.175636i | ||||
\(547\) | −19.7781 | + | 7.37685i | −0.845651 | + | 0.315411i | −0.734681 | − | 0.678412i | \(-0.762668\pi\) |
−0.110969 | + | 0.993824i | \(0.535396\pi\) | |||||||
\(548\) | −4.35471 | + | 3.25990i | −0.186024 | + | 0.139256i | ||||
\(549\) | −2.29424 | − | 1.47442i | −0.0979160 | − | 0.0629268i | ||||
\(550\) | 19.5139 | − | 4.88047i | 0.832075 | − | 0.208104i | ||||
\(551\) | 7.94724i | 0.338564i | ||||||||
\(552\) | 5.08421 | + | 8.58729i | 0.216398 | + | 0.365499i | ||||
\(553\) | −39.3609 | + | 39.3609i | −1.67380 | + | 1.67380i | ||||
\(554\) | 21.7442 | − | 18.8415i | 0.923822 | − | 0.800497i | ||||
\(555\) | 2.34227 | + | 1.02628i | 0.0994237 | + | 0.0435631i | ||||
\(556\) | 0.241041 | − | 1.67648i | 0.0102224 | − | 0.0710985i | ||||
\(557\) | −10.4016 | − | 27.8877i | −0.440729 | − | 1.18164i | −0.947556 | − | 0.319591i | \(-0.896454\pi\) |
0.506827 | − | 0.862048i | \(-0.330818\pi\) | |||||||
\(558\) | 6.28369 | + | 4.70391i | 0.266010 | + | 0.199132i | ||||
\(559\) | −3.40368 | − | 0.999412i | −0.143960 | − | 0.0422706i | ||||
\(560\) | −8.78853 | − | 0.492338i | −0.371383 | − | 0.0208051i | ||||
\(561\) | −17.8827 | − | 39.1577i | −0.755010 | − | 1.65324i | ||||
\(562\) | −2.58762 | + | 4.73887i | −0.109152 | + | 0.199897i | ||||
\(563\) | −41.0438 | + | 2.93551i | −1.72979 | + | 0.123717i | −0.900432 | − | 0.434997i | \(-0.856749\pi\) |
−0.829360 | + | 0.558714i | \(0.811295\pi\) | |||||||
\(564\) | −18.5588 | − | 16.0812i | −0.781464 | − | 0.677143i | ||||
\(565\) | −1.74254 | + | 4.90172i | −0.0733091 | + | 0.206217i | ||||
\(566\) | −7.93178 | + | 3.62232i | −0.333397 | + | 0.152257i | ||||
\(567\) | 9.38945 | − | 43.1626i | 0.394320 | − | 1.81266i | ||||
\(568\) | −10.7547 | + | 5.87253i | −0.451258 | + | 0.246406i | ||||
\(569\) | −1.69512 | − | 11.7898i | −0.0710633 | − | 0.494256i | −0.994007 | − | 0.109320i | \(-0.965133\pi\) |
0.922943 | − | 0.384936i | \(-0.125776\pi\) | |||||||
\(570\) | 7.55266 | + | 2.09157i | 0.316346 | + | 0.0876064i | ||||
\(571\) | −6.50808 | − | 0.935720i | −0.272354 | − | 0.0391587i | 0.00478432 | − | 0.999989i | \(-0.498477\pi\) |
−0.277139 | + | 0.960830i | \(0.589386\pi\) | |||||||
\(572\) | 13.8392 | − | 3.01053i | 0.578646 | − | 0.125877i | ||||
\(573\) | 2.65322 | − | 37.0969i | 0.110840 | − | 1.54975i | ||||
\(574\) | 27.5885 | 1.15152 | ||||||||
\(575\) | −23.9788 | − | 0.138142i | −0.999983 | − | 0.00576093i | ||||
\(576\) | −1.33003 | −0.0554181 | ||||||||
\(577\) | −2.04383 | + | 28.5765i | −0.0850860 | + | 1.18966i | 0.758138 | + | 0.652094i | \(0.226109\pi\) |
−0.843224 | + | 0.537563i | \(0.819345\pi\) | |||||||
\(578\) | 9.22741 | − | 2.00730i | 0.383810 | − | 0.0834927i | ||||
\(579\) | −19.8671 | − | 2.85646i | −0.825649 | − | 0.118710i | ||||
\(580\) | 10.1681 | + | 2.81588i | 0.422209 | + | 0.116923i | ||||
\(581\) | 6.62183 | + | 46.0558i | 0.274720 | + | 1.91072i | ||||
\(582\) | −3.54719 | + | 1.93691i | −0.147036 | + | 0.0802876i | ||||
\(583\) | 1.89499 | − | 8.71113i | 0.0784825 | − | 0.360778i | ||||
\(584\) | −4.14756 | + | 1.89413i | −0.171627 | + | 0.0783795i | ||||
\(585\) | −3.50704 | + | 9.86525i | −0.144998 | + | 0.407878i | ||||
\(586\) | −17.0433 | − | 14.7681i | −0.704051 | − | 0.610064i | ||||
\(587\) | −13.9782 | + | 0.999739i | −0.576941 | + | 0.0412636i | −0.356761 | − | 0.934196i | \(-0.616119\pi\) |
−0.220180 | + | 0.975459i | \(0.570664\pi\) | |||||||
\(588\) | 8.47284 | − | 15.5168i | 0.349414 | − | 0.639904i | ||||
\(589\) | 4.12919 | + | 9.04167i | 0.170140 | + | 0.372556i | ||||
\(590\) | 27.1285 | + | 1.51975i | 1.11686 | + | 0.0625673i | ||||
\(591\) | −13.4252 | − | 3.94199i | −0.552238 | − | 0.162152i | ||||
\(592\) | −0.439971 | − | 0.329358i | −0.0180827 | − | 0.0135365i | ||||
\(593\) | −15.1336 | − | 40.5748i | −0.621463 | − | 1.66621i | −0.739467 | − | 0.673193i | \(-0.764922\pi\) |
0.118004 | − | 0.993013i | \(-0.462350\pi\) | |||||||
\(594\) | 1.98954 | − | 13.8375i | 0.0816318 | − | 0.567761i | ||||
\(595\) | −41.4591 | − | 18.1655i | −1.69966 | − | 0.744715i | ||||
\(596\) | 13.2648 | − | 11.4940i | 0.543347 | − | 0.470812i | ||||
\(597\) | −0.0764613 | + | 0.0764613i | −0.00312935 | + | 0.00312935i | ||||
\(598\) | −16.8723 | − | 0.618420i | −0.689960 | − | 0.0252891i | ||||
\(599\) | − | 5.43966i | − | 0.222258i | −0.993806 | − | 0.111129i | \(-0.964553\pi\) | ||
0.993806 | − | 0.111129i | \(-0.0354467\pi\) | |||||||
\(600\) | 5.35214 | − | 8.92219i | 0.218500 | − | 0.364247i | ||||
\(601\) | 3.68318 | + | 2.36703i | 0.150240 | + | 0.0965533i | 0.613601 | − | 0.789616i | \(-0.289720\pi\) |
−0.463361 | + | 0.886170i | \(0.653357\pi\) | |||||||
\(602\) | −3.17542 | + | 2.37709i | −0.129420 | + | 0.0968829i | ||||
\(603\) | 7.05189 | − | 2.63022i | 0.287175 | − | 0.107111i | ||||
\(604\) | −3.03721 | + | 0.436685i | −0.123582 | + | 0.0177685i | ||||
\(605\) | −1.47249 | + | 11.4989i | −0.0598652 | + | 0.467496i | ||||
\(606\) | 23.0213 | − | 14.7949i | 0.935175 | − | 0.601000i | ||||
\(607\) | 2.05073 | − | 5.49822i | 0.0832366 | − | 0.223166i | −0.888663 | − | 0.458560i | \(-0.848365\pi\) |
0.971900 | + | 0.235394i | \(0.0756381\pi\) | |||||||
\(608\) | −1.47826 | − | 0.807190i | −0.0599513 | − | 0.0327359i | ||||
\(609\) | −25.3109 | + | 29.2104i | −1.02565 | + | 1.18366i | ||||
\(610\) | −4.46459 | + | 1.04365i | −0.180766 | + | 0.0422560i | ||||
\(611\) | 39.8629 | − | 11.7048i | 1.61268 | − | 0.473526i | ||||
\(612\) | −6.40820 | − | 2.39014i | −0.259036 | − | 0.0966155i | ||||
\(613\) | −22.7901 | − | 4.95769i | −0.920485 | − | 0.200239i | −0.272732 | − | 0.962090i | \(-0.587927\pi\) |
−0.647753 | + | 0.761851i | \(0.724291\pi\) | |||||||
\(614\) | 7.94357 | − | 27.0533i | 0.320577 | − | 1.09178i | ||||
\(615\) | −15.1845 | + | 28.8587i | −0.612297 | + | 1.16369i | ||||
\(616\) | 6.57874 | − | 14.4054i | 0.265065 | − | 0.580412i | ||||
\(617\) | −6.22678 | − | 8.31801i | −0.250681 | − | 0.334870i | 0.657495 | − | 0.753459i | \(-0.271616\pi\) |
−0.908176 | + | 0.418588i | \(0.862525\pi\) | |||||||
\(618\) | 8.18182 | + | 37.6112i | 0.329121 | + | 1.51294i | ||||
\(619\) | 16.5092 | + | 19.0527i | 0.663563 | + | 0.765792i | 0.983355 | − | 0.181696i | \(-0.0581585\pi\) |
−0.319792 | + | 0.947488i | \(0.603613\pi\) | |||||||
\(620\) | 13.0315 | − | 2.07945i | 0.523356 | − | 0.0835127i | ||||
\(621\) | −6.39201 | + | 15.3909i | −0.256503 | + | 0.617615i | ||||
\(622\) | −8.64601 | − | 8.64601i | −0.346674 | − | 0.346674i | ||||
\(623\) | −27.9597 | − | 1.99971i | −1.12018 | − | 0.0801169i | ||||
\(624\) | 3.96056 | − | 6.16275i | 0.158549 | − | 0.246707i | ||||
\(625\) | 11.7690 | + | 22.0566i | 0.470758 | + | 0.882262i | ||||
\(626\) | 22.0928 | + | 10.0895i | 0.883008 | + | 0.403256i | ||||
\(627\) | −8.44963 | + | 11.2874i | −0.337446 | + | 0.450775i | ||||
\(628\) | 9.24489 | + | 16.9307i | 0.368911 | + | 0.675610i | ||||
\(629\) | −1.52794 | − | 2.37752i | −0.0609230 | − | 0.0947980i | ||||
\(630\) | 6.48077 | + | 9.74999i | 0.258200 | + | 0.388449i | ||||
\(631\) | 11.0746 | + | 37.7166i | 0.440873 | + | 1.50147i | 0.817948 | + | 0.575292i | \(0.195112\pi\) |
−0.377075 | + | 0.926183i | \(0.623070\pi\) | |||||||
\(632\) | 1.00878 | + | 14.1046i | 0.0401271 | + | 0.561051i | ||||
\(633\) | −0.0336673 | − | 0.470731i | −0.00133816 | − | 0.0187099i | ||||
\(634\) | 7.13748 | + | 24.3080i | 0.283466 | + | 0.965395i | ||||
\(635\) | 23.2847 | + | 4.69002i | 0.924024 | + | 0.186118i | ||||
\(636\) | −2.49299 | − | 3.87917i | −0.0988534 | − | 0.153819i | ||||
\(637\) | 14.3346 | + | 26.2518i | 0.567957 | + | 1.04014i | ||||
\(638\) | −11.3757 | + | 15.1962i | −0.450369 | + | 0.601622i | ||||
\(639\) | 14.8249 | + | 6.77031i | 0.586465 | + | 0.267829i | ||||
\(640\) | −1.55654 | + | 1.60536i | −0.0615277 | + | 0.0634574i | ||||
\(641\) | 17.3946 | − | 27.0665i | 0.687044 | − | 1.06906i | −0.306081 | − | 0.952006i | \(-0.599018\pi\) |
0.993125 | − | 0.117057i | \(-0.0373459\pi\) | |||||||
\(642\) | −14.7136 | − | 1.05234i | −0.580700 | − | 0.0415325i | ||||
\(643\) | 22.3539 | + | 22.3539i | 0.881551 | + | 0.881551i | 0.993692 | − | 0.112141i | \(-0.0357708\pi\) |
−0.112141 | + | 0.993692i | \(0.535771\pi\) | |||||||
\(644\) | −11.8597 | + | 14.6888i | −0.467336 | + | 0.578818i | ||||
\(645\) | −0.738808 | − | 4.62995i | −0.0290905 | − | 0.182304i | ||||
\(646\) | −5.67180 | − | 6.54561i | −0.223154 | − | 0.257533i | ||||
\(647\) | 6.97783 | + | 32.0766i | 0.274327 | + | 1.26106i | 0.883654 | + | 0.468141i | \(0.155076\pi\) |
−0.609327 | + | 0.792919i | \(0.708560\pi\) | |||||||
\(648\) | −6.72456 | − | 8.98296i | −0.264166 | − | 0.352884i | ||||
\(649\) | −20.3073 | + | 44.4668i | −0.797132 | + | 1.74548i | ||||
\(650\) | 7.80311 | + | 15.7783i | 0.306063 | + | 0.618878i | ||||
\(651\) | −13.6195 | + | 46.3839i | −0.533792 | + | 1.81793i | ||||
\(652\) | 7.65246 | + | 1.66469i | 0.299694 | + | 0.0651943i | ||||
\(653\) | 28.9551 | + | 10.7997i | 1.13310 | + | 0.422624i | 0.844888 | − | 0.534943i | \(-0.179667\pi\) |
0.288211 | + | 0.957567i | \(0.406940\pi\) | |||||||
\(654\) | −6.28634 | + | 1.84584i | −0.245816 | + | 0.0721779i | ||||
\(655\) | −26.1391 | − | 16.2340i | −1.02134 | − | 0.634314i | ||||
\(656\) | 4.58949 | − | 5.29656i | 0.179190 | − | 0.206796i | ||||
\(657\) | 5.32262 | + | 2.90637i | 0.207655 | + | 0.113388i | ||||
\(658\) | 16.2345 | − | 43.5265i | 0.632888 | − | 1.69684i | ||||
\(659\) | −9.29389 | + | 5.97282i | −0.362038 | + | 0.232668i | −0.708995 | − | 0.705213i | \(-0.750851\pi\) |
0.346957 | + | 0.937881i | \(0.387215\pi\) | |||||||
\(660\) | 11.4478 | + | 14.8103i | 0.445605 | + | 0.576489i | ||||
\(661\) | 43.4654 | − | 6.24939i | 1.69061 | − | 0.243073i | 0.771262 | − | 0.636518i | \(-0.219626\pi\) |
0.919348 | + | 0.393445i | \(0.128717\pi\) | |||||||
\(662\) | −7.75090 | + | 2.89094i | −0.301247 | + | 0.112359i | ||||
\(663\) | 30.1570 | − | 22.5753i | 1.17120 | − | 0.876751i | ||||
\(664\) | 9.94358 | + | 6.39035i | 0.385886 | + | 0.247994i | ||||
\(665\) | 1.28580 | + | 14.7697i | 0.0498612 | + | 0.572745i | ||||
\(666\) | 0.730976i | 0.0283248i | ||||||||
\(667\) | 17.6332 | − | 14.1825i | 0.682759 | − | 0.549148i | ||||
\(668\) | −15.3719 | + | 15.3719i | −0.594757 | + | 0.594757i | ||||
\(669\) | −16.9129 | + | 14.6551i | −0.653891 | + | 0.566600i | ||||
\(670\) | 5.07815 | − | 11.5898i | 0.196186 | − | 0.447754i | ||||
\(671\) | 1.17395 | − | 8.16499i | 0.0453198 | − | 0.315206i | ||||
\(672\) | −2.86260 | − | 7.67492i | −0.110427 | − | 0.296066i | ||||
\(673\) | −9.45319 | − | 7.07657i | −0.364394 | − | 0.272782i | 0.401354 | − | 0.915923i | \(-0.368540\pi\) |
−0.765747 | + | 0.643141i | \(0.777631\pi\) | |||||||
\(674\) | 3.97697 | + | 1.16774i | 0.153187 | + | 0.0449798i | ||||
\(675\) | 17.2841 | − | 1.77393i | 0.665267 | − | 0.0682787i | ||||
\(676\) | −0.251829 | − | 0.551429i | −0.00968573 | − | 0.0212088i | ||||
\(677\) | 9.52784 | − | 17.4489i | 0.366184 | − | 0.670617i | −0.628011 | − | 0.778204i | \(-0.716131\pi\) |
0.994196 | + | 0.107588i | \(0.0343126\pi\) | |||||||
\(678\) | −4.82885 | + | 0.345366i | −0.185451 | + | 0.0132637i | ||||
\(679\) | −5.77820 | − | 5.00684i | −0.221747 | − | 0.192145i | ||||
\(680\) | −10.3844 | + | 4.93756i | −0.398225 | + | 0.189347i | ||||
\(681\) | 28.7532 | − | 13.1312i | 1.10183 | − | 0.503187i | ||||
\(682\) | −5.04672 | + | 23.1994i | −0.193249 | + | 0.888351i | ||||
\(683\) | −21.2753 | + | 11.6172i | −0.814076 | + | 0.444519i | −0.831632 | − | 0.555327i | \(-0.812593\pi\) |
0.0175561 | + | 0.999846i | \(0.494411\pi\) | |||||||
\(684\) | 0.318807 | + | 2.21735i | 0.0121899 | + | 0.0847825i | ||||
\(685\) | 10.5844 | − | 5.99348i | 0.404411 | − | 0.228999i | ||||
\(686\) | 5.82965 | + | 0.838177i | 0.222577 | + | 0.0320017i | ||||
\(687\) | 48.0743 | − | 10.4579i | 1.83415 | − | 0.398995i | ||||
\(688\) | −0.0718842 | + | 1.00507i | −0.00274056 | + | 0.0383180i | ||||
\(689\) | 7.80131 | 0.297206 | ||||||||
\(690\) | −8.83759 | − | 20.4903i | −0.336441 | − | 0.780051i | ||||
\(691\) | 9.04069 | 0.343924 | 0.171962 | − | 0.985104i | \(-0.444989\pi\) | ||||
0.171962 | + | 0.985104i | \(0.444989\pi\) | |||||||
\(692\) | 1.44037 | − | 20.1390i | 0.0547547 | − | 0.765570i | ||||
\(693\) | −20.5818 | + | 4.47730i | −0.781838 | + | 0.170078i | ||||
\(694\) | 24.4740 | + | 3.51883i | 0.929021 | + | 0.133573i | ||||
\(695\) | −1.01077 | + | 3.64990i | −0.0383408 | + | 0.138448i | ||||
\(696\) | 1.39733 | + | 9.71861i | 0.0529655 | + | 0.368383i | ||||
\(697\) | 31.6307 | − | 17.2717i | 1.19810 | − | 0.654211i | ||||
\(698\) | −3.74402 | + | 17.2110i | −0.141713 | + | 0.651445i | ||||
\(699\) | −49.1870 | + | 22.4629i | −1.86042 | + | 0.849626i | ||||
\(700\) | 19.3528 | + | 3.58811i | 0.731465 | + | 0.135618i | ||||
\(701\) | −11.7573 | − | 10.1878i | −0.444068 | − | 0.384787i | 0.403927 | − | 0.914791i | \(-0.367645\pi\) |
−0.847995 | + | 0.530004i | \(0.822190\pi\) | |||||||
\(702\) | 12.2025 | − | 0.872737i | 0.460552 | − | 0.0329393i | ||||
\(703\) | −0.443626 | + | 0.812440i | −0.0167317 | + | 0.0306417i | ||||
\(704\) | −1.67121 | − | 3.65944i | −0.0629861 | − | 0.137920i | ||||
\(705\) | 36.5951 | + | 40.9386i | 1.37825 | + | 1.54184i | ||||
\(706\) | 2.95635 | + | 0.868063i | 0.111264 | + | 0.0326700i | ||||
\(707\) | 41.4431 | + | 31.0239i | 1.55863 | + | 1.16677i | ||||
\(708\) | 8.83629 | + | 23.6910i | 0.332088 | + | 0.890363i | ||||
\(709\) | 1.47941 | − | 10.2895i | 0.0555605 | − | 0.386432i | −0.943000 | − | 0.332793i | \(-0.892009\pi\) |
0.998560 | − | 0.0536387i | \(-0.0170819\pi\) | |||||||
\(710\) | 25.5214 | − | 9.97045i | 0.957803 | − | 0.374184i | ||||
\(711\) | 14.2138 | − | 12.3163i | 0.533058 | − | 0.461897i | ||||
\(712\) | −5.03516 | + | 5.03516i | −0.188700 | + | 0.188700i | ||||
\(713\) | 12.6926 | − | 25.2974i | 0.475342 | − | 0.947394i | ||||
\(714\) | − | 42.1226i | − | 1.57640i | ||||||
\(715\) | −31.5498 | + | 2.74662i | −1.17990 | + | 0.102718i | ||||
\(716\) | −3.24049 | − | 2.08254i | −0.121103 | − | 0.0778281i | ||||
\(717\) | −19.1153 | + | 14.3095i | −0.713874 | + | 0.534400i | ||||
\(718\) | −2.08996 | + | 0.779517i | −0.0779968 | + | 0.0290913i | ||||
\(719\) | −30.9741 | + | 4.45341i | −1.15514 | + | 0.166084i | −0.693145 | − | 0.720799i | \(-0.743775\pi\) |
−0.461995 | + | 0.886883i | \(0.652866\pi\) | |||||||
\(720\) | 2.94996 | + | 0.377757i | 0.109938 | + | 0.0140782i | ||||
\(721\) | −61.2563 | + | 39.3670i | −2.28130 | + | 1.46610i | ||||
\(722\) | 5.64846 | − | 15.1441i | 0.210214 | − | 0.563605i | ||||
\(723\) | 14.0472 | + | 7.67036i | 0.522422 | + | 0.285264i | ||||
\(724\) | −2.93229 | + | 3.38404i | −0.108978 | + | 0.125767i | ||||
\(725\) | −21.7527 | − | 9.13346i | −0.807875 | − | 0.339208i | ||||
\(726\) | −10.3512 | + | 3.03938i | −0.384168 | + | 0.112802i | ||||
\(727\) | 21.2449 | + | 7.92393i | 0.787929 | + | 0.293882i | 0.711035 | − | 0.703157i | \(-0.248227\pi\) |
0.0768945 | + | 0.997039i | \(0.475500\pi\) | |||||||
\(728\) | 13.5417 | + | 2.94582i | 0.501889 | + | 0.109179i | ||||
\(729\) | 1.90693 | − | 6.49439i | 0.0706269 | − | 0.240533i | ||||
\(730\) | 9.73707 | − | 3.02310i | 0.360385 | − | 0.111890i | ||||
\(731\) | −2.15251 | + | 4.71333i | −0.0796134 | + | 0.174329i | ||||
\(732\) | −2.55696 | − | 3.41570i | −0.0945079 | − | 0.126248i | ||||
\(733\) | −5.40552 | − | 24.8488i | −0.199658 | − | 0.917811i | −0.962512 | − | 0.271240i | \(-0.912566\pi\) |
0.762854 | − | 0.646571i | \(-0.223797\pi\) | |||||||
\(734\) | 10.7353 | + | 12.3892i | 0.396247 | + | 0.457294i | ||||
\(735\) | −23.1995 | + | 32.0092i | −0.855726 | + | 1.18068i | ||||
\(736\) | 0.847094 | + | 4.72043i | 0.0312243 | + | 0.173997i | ||||
\(737\) | 16.0976 | + | 16.0976i | 0.592962 | + | 0.592962i | ||||
\(738\) | −9.29759 | − | 0.664977i | −0.342249 | − | 0.0244781i | ||||
\(739\) | 19.6936 | − | 30.6438i | 0.724440 | − | 1.12725i | −0.262307 | − | 0.964984i | \(-0.584483\pi\) |
0.986747 | − | 0.162266i | \(-0.0518802\pi\) | |||||||
\(740\) | 0.882293 | + | 0.855463i | 0.0324337 | + | 0.0314475i | ||||
\(741\) | −11.2235 | − | 5.12560i | −0.412306 | − | 0.188294i | ||||
\(742\) | 5.22764 | − | 6.98331i | 0.191913 | − | 0.256365i | ||||
\(743\) | −7.13951 | − | 13.0750i | −0.261923 | − | 0.479677i | 0.713312 | − | 0.700847i | \(-0.247194\pi\) |
−0.975235 | + | 0.221170i | \(0.929012\pi\) | |||||||
\(744\) | 6.63931 | + | 10.3310i | 0.243409 | + | 0.378751i | ||||
\(745\) | −32.6852 | + | 21.7257i | −1.19749 | + | 0.795969i | ||||
\(746\) | −8.75779 | − | 29.8263i | −0.320646 | − | 1.09202i | ||||
\(747\) | −1.12152 | − | 15.6809i | −0.0410343 | − | 0.573734i | ||||
\(748\) | −1.47582 | − | 20.6347i | −0.0539614 | − | 0.754479i | ||||
\(749\) | −7.86195 | − | 26.7754i | −0.287270 | − | 0.978350i | ||||
\(750\) | −14.4049 | + | 18.2689i | −0.525993 | + | 0.667086i | ||||
\(751\) | 3.07898 | + | 4.79099i | 0.112354 | + | 0.174826i | 0.892877 | − | 0.450301i | \(-0.148683\pi\) |
−0.780523 | + | 0.625127i | \(0.785047\pi\) | |||||||
\(752\) | −5.65570 | − | 10.3576i | −0.206242 | − | 0.377704i | ||||
\(753\) | −2.31127 | + | 3.08749i | −0.0842272 | + | 0.112514i | ||||
\(754\) | −15.1102 | − | 6.90059i | −0.550280 | − | 0.251304i | ||||
\(755\) | 6.86043 | − | 0.105918i | 0.249677 | − | 0.00385476i | ||||
\(756\) | 7.39561 | − | 11.5078i | 0.268976 | − | 0.418534i | ||||
\(757\) | −19.6819 | − | 1.40768i | −0.715350 | − | 0.0511629i | −0.291080 | − | 0.956699i | \(-0.594015\pi\) |
−0.424270 | + | 0.905536i | \(0.639469\pi\) | |||||||
\(758\) | −17.5672 | − | 17.5672i | −0.638069 | − | 0.638069i | ||||
\(759\) | 40.1232 | − | 1.39538i | 1.45638 | − | 0.0506490i | ||||
\(760\) | 3.04946 | + | 2.21017i | 0.110615 | + | 0.0801713i | ||||
\(761\) | 7.86088 | + | 9.07194i | 0.284957 | + | 0.328857i | 0.880124 | − | 0.474745i | \(-0.157460\pi\) |
−0.595167 | + | 0.803602i | \(0.702914\pi\) | |||||||
\(762\) | 4.69849 | + | 21.5986i | 0.170208 | + | 0.782436i | ||||
\(763\) | −7.42764 | − | 9.92216i | −0.268898 | − | 0.359206i | ||||
\(764\) | 7.42475 | − | 16.2579i | 0.268618 | − | 0.588192i | ||||
\(765\) | 13.5343 | + | 7.12128i | 0.489333 | + | 0.257470i | ||||
\(766\) | −4.44684 | + | 15.1446i | −0.160671 | + | 0.547195i | ||||
\(767\) | −41.8007 | − | 9.09319i | −1.50934 | − | 0.328336i | ||||
\(768\) | −1.94967 | − | 0.727191i | −0.0703528 | − | 0.0262402i | ||||
\(769\) | 23.4533 | − | 6.88650i | 0.845746 | − | 0.248333i | 0.169978 | − | 0.985448i | \(-0.445630\pi\) |
0.675768 | + | 0.737114i | \(0.263812\pi\) | |||||||
\(770\) | −18.6828 | + | 30.0821i | −0.673282 | + | 1.08409i | ||||
\(771\) | 11.5929 | − | 13.3789i | 0.417508 | − | 0.481830i | ||||
\(772\) | −8.46580 | − | 4.62268i | −0.304691 | − | 0.166374i | ||||
\(773\) | 13.3097 | − | 35.6847i | 0.478717 | − | 1.28349i | −0.443311 | − | 0.896368i | \(-0.646196\pi\) |
0.922028 | − | 0.387123i | \(-0.126531\pi\) | |||||||
\(774\) | 1.12744 | − | 0.724564i | 0.0405251 | − | 0.0260439i | ||||
\(775\) | −29.4938 | + | 0.910929i | −1.05945 | + | 0.0327215i | ||||
\(776\) | −1.92247 | + | 0.276410i | −0.0690127 | + | 0.00992253i | ||||
\(777\) | −4.21807 | + | 1.57326i | −0.151323 | + | 0.0564404i | ||||
\(778\) | 5.60732 | − | 4.19759i | 0.201032 | − | 0.150491i | ||||
\(779\) | −9.93019 | − | 6.38174i | −0.355786 | − | 0.228650i | ||||
\(780\) | −10.5347 | + | 12.5438i | −0.377203 | + | 0.449141i | ||||
\(781\) | 49.2961i | 1.76395i | ||||||||
\(782\) | −4.40147 | + | 24.2656i | −0.157396 | + | 0.867737i | ||||
\(783\) | −11.5942 | + | 11.5942i | −0.414342 | + | 0.414342i | ||||
\(784\) | 6.42096 | − | 5.56379i | 0.229320 | − | 0.198707i | ||||
\(785\) | −15.6961 | − | 40.1774i | −0.560217 | − | 1.43399i | ||||
\(786\) | 4.07511 | − | 28.3430i | 0.145354 | − | 1.01096i | ||||
\(787\) | −15.9462 | − | 42.7534i | −0.568421 | − | 1.52399i | −0.829403 | − | 0.558651i | \(-0.811319\pi\) |
0.260982 | − | 0.965344i | \(-0.415954\pi\) | |||||||
\(788\) | −5.38290 | − | 4.02959i | −0.191758 | − | 0.143548i | ||||
\(789\) | 41.2015 | + | 12.0979i | 1.46681 | + | 0.430695i | ||||
\(790\) | 1.76856 | − | 31.5699i | 0.0629226 | − | 1.12321i | ||||
\(791\) | −3.80452 | − | 8.33073i | −0.135273 | − | 0.296207i | ||||
\(792\) | −2.56432 | + | 4.69621i | −0.0911193 | + | 0.166873i | ||||
\(793\) | 7.20019 | − | 0.514968i | 0.255686 | − | 0.0182870i | ||||
\(794\) | −15.0707 | − | 13.0589i | −0.534841 | − | 0.463442i | ||||
\(795\) | 4.42758 | + | 9.31188i | 0.157030 | + | 0.330258i | ||||
\(796\) | −0.0472690 | + | 0.0215870i | −0.00167541 | + | 0.000765132i | ||||
\(797\) | −0.753629 | + | 3.46437i | −0.0266949 | + | 0.122714i | −0.988566 | − | 0.150789i | \(-0.951819\pi\) |
0.961871 | + | 0.273503i | \(0.0881824\pi\) | |||||||
\(798\) | −12.1090 | + | 6.61201i | −0.428654 | + | 0.234063i | ||||
\(799\) | −8.63640 | − | 60.0675i | −0.305534 | − | 2.12503i | ||||
\(800\) | 3.90830 | − | 3.11853i | 0.138179 | − | 0.110257i | ||||
\(801\) | 9.37449 | + | 1.34785i | 0.331231 | + | 0.0476239i | ||||
\(802\) | 24.3098 | − | 5.28827i | 0.858409 | − | 0.186735i | ||||
\(803\) | −1.30859 | + | 18.2965i | −0.0461792 | + | 0.645669i | ||||
\(804\) | 11.7753 | 0.415283 | ||||||||
\(805\) | 30.4761 | − | 29.2107i | 1.07414 | − | 1.02954i | ||||
\(806\) | −20.7764 | −0.731817 | ||||||||
\(807\) | −2.17122 | + | 30.3577i | −0.0764307 | + | 1.06864i | ||||
\(808\) | 12.8504 | − | 2.79543i | 0.452075 | − | 0.0983429i | ||||
\(809\) | 23.9519 | + | 3.44376i | 0.842103 | + | 0.121076i | 0.549849 | − | 0.835264i | \(-0.314685\pi\) |
0.292255 | + | 0.956341i | \(0.405594\pi\) | |||||||
\(810\) | 12.3634 | + | 21.8337i | 0.434407 | + | 0.767159i | ||||
\(811\) | 4.17912 | + | 29.0664i | 0.146749 | + | 1.02066i | 0.921496 | + | 0.388389i | \(0.126968\pi\) |
−0.774747 | + | 0.632272i | \(0.782123\pi\) | |||||||
\(812\) | −16.3023 | + | 8.90174i | −0.572099 | + | 0.312390i | ||||
\(813\) | −4.91054 | + | 22.5734i | −0.172220 | + | 0.791684i | ||||
\(814\) | −2.01120 | + | 0.918484i | −0.0704925 | + | 0.0321928i | ||||
\(815\) | −16.5000 | − | 5.86567i | −0.577971 | − | 0.205465i | ||||
\(816\) | −8.08688 | − | 7.00732i | −0.283097 | − | 0.245305i | ||||
\(817\) | 1.69283 | − | 0.121073i | 0.0592245 | − | 0.00423582i | ||||
\(818\) | −7.55122 | + | 13.8290i | −0.264022 | + | 0.483520i | ||||
\(819\) | −7.65700 | − | 16.7665i | −0.267557 | − | 0.585869i | ||||
\(820\) | −11.6836 | + | 10.4440i | −0.408010 | + | 0.364721i | ||||
\(821\) | 14.4503 | + | 4.24299i | 0.504318 | + | 0.148081i | 0.523989 | − | 0.851725i | \(-0.324443\pi\) |
−0.0196702 | + | 0.999807i | \(0.506262\pi\) | |||||||
\(822\) | 9.06160 | + | 6.78343i | 0.316060 | + | 0.236599i | ||||
\(823\) | 7.66379 | + | 20.5474i | 0.267143 | + | 0.716238i | 0.999381 | + | 0.0351890i | \(0.0112033\pi\) |
−0.732238 | + | 0.681049i | \(0.761524\pi\) | |||||||
\(824\) | −2.63246 | + | 18.3092i | −0.0917061 | + | 0.637830i | ||||
\(825\) | −21.1843 | − | 36.0999i | −0.737542 | − | 1.25684i | ||||
\(826\) | −36.1503 | + | 31.3244i | −1.25783 | + | 1.08991i | ||||
\(827\) | −15.1528 | + | 15.1528i | −0.526913 | + | 0.526913i | −0.919651 | − | 0.392737i | \(-0.871528\pi\) |
0.392737 | + | 0.919651i | \(0.371528\pi\) | |||||||
\(828\) | 4.35088 | − | 4.66440i | 0.151203 | − | 0.162099i | ||||
\(829\) | − | 11.4324i | − | 0.397065i | −0.980094 | − | 0.198532i | \(-0.936382\pi\) | ||
0.980094 | − | 0.198532i | \(-0.0636175\pi\) | |||||||
\(830\) | −20.2394 | − | 16.9977i | −0.702521 | − | 0.589999i | ||||
\(831\) | −50.3661 | − | 32.3683i | −1.74718 | − | 1.12284i | ||||
\(832\) | 2.81829 | − | 2.10975i | 0.0977066 | − | 0.0731423i | ||||
\(833\) | 40.9351 | − | 15.2680i | 1.41832 | − | 0.529004i | ||||
\(834\) | −3.48854 | + | 0.501576i | −0.120798 | + | 0.0173682i | ||||
\(835\) | 38.4602 | − | 29.7283i | 1.33097 | − | 1.02879i | ||||
\(836\) | −5.70021 | + | 3.66330i | −0.197146 | + | 0.126698i | ||||
\(837\) | −7.16678 | + | 19.2149i | −0.247720 | + | 0.664164i | ||||
\(838\) | 7.87133 | + | 4.29807i | 0.271910 | + | 0.148474i | ||||
\(839\) | −4.52450 | + | 5.22155i | −0.156203 | + | 0.180268i | −0.828457 | − | 0.560053i | \(-0.810781\pi\) |
0.672254 | + | 0.740321i | \(0.265326\pi\) | |||||||
\(840\) | 4.16928 | + | 17.8357i | 0.143854 | + | 0.615389i | ||||
\(841\) | −6.46313 | + | 1.89775i | −0.222867 | + | 0.0654396i | ||||
\(842\) | 23.6035 | + | 8.80364i | 0.813430 | + | 0.303394i | ||||
\(843\) | 10.9785 | + | 2.38823i | 0.378121 | + | 0.0822551i | ||||
\(844\) | 0.0638957 | − | 0.217609i | 0.00219938 | − | 0.00749041i | ||||
\(845\) | 0.401929 | + | 1.29457i | 0.0138268 | + | 0.0445346i | ||||
\(846\) | −6.52034 | + | 14.2775i | −0.224174 | + | 0.490872i | ||||
\(847\) | −12.2304 | − | 16.3380i | −0.420243 | − | 0.561379i | ||||
\(848\) | −0.471040 | − | 2.16534i | −0.0161756 | − | 0.0743580i | ||||
\(849\) | 11.8823 | + | 13.7129i | 0.407798 | + | 0.470624i | ||||
\(850\) | 24.4346 | − | 8.00189i | 0.838100 | − | 0.274463i | ||||
\(851\) | 2.59431 | − | 0.465556i | 0.0889318 | − | 0.0159591i | ||||
\(852\) | 18.0299 | + | 18.0299i | 0.617696 | + | 0.617696i | ||||
\(853\) | 33.0541 | + | 2.36408i | 1.13175 | + | 0.0809444i | 0.624623 | − | 0.780926i | \(-0.285253\pi\) |
0.507128 | + | 0.861871i | \(0.330707\pi\) | |||||||
\(854\) | 4.36386 | − | 6.79030i | 0.149328 | − | 0.232359i | ||||
\(855\) | −0.0773269 | − | 5.00854i | −0.00264452 | − | 0.171288i | ||||
\(856\) | −6.44833 | − | 2.94485i | −0.220399 | − | 0.100653i | ||||
\(857\) | −12.3655 | + | 16.5184i | −0.422398 | + | 0.564258i | −0.960378 | − | 0.278700i | \(-0.910097\pi\) |
0.537980 | + | 0.842957i | \(0.319187\pi\) | |||||||
\(858\) | −14.1240 | − | 25.8662i | −0.482186 | − | 0.883057i | ||||
\(859\) | −26.0451 | − | 40.5269i | −0.888646 | − | 1.38276i | −0.923595 | − | 0.383371i | \(-0.874763\pi\) |
0.0349488 | − | 0.999389i | \(-0.488873\pi\) | |||||||
\(860\) | 0.444897 | − | 2.20879i | 0.0151709 | − | 0.0753191i | ||||
\(861\) | −16.1737 | − | 55.0827i | −0.551199 | − | 1.87721i | ||||
\(862\) | −0.0786936 | − | 1.10028i | −0.00268032 | − | 0.0374757i | ||||
\(863\) | 1.77149 | + | 24.7687i | 0.0603023 | + | 0.843136i | 0.934137 | + | 0.356914i | \(0.116171\pi\) |
−0.873835 | + | 0.486223i | \(0.838374\pi\) | |||||||
\(864\) | −0.979017 | − | 3.33423i | −0.0333068 | − | 0.113433i | ||||
\(865\) | −8.91457 | + | 44.2584i | −0.303105 | + | 1.50483i | ||||
\(866\) | −2.86017 | − | 4.45051i | −0.0971924 | − | 0.151234i | ||||
\(867\) | −9.41731 | − | 17.2465i | −0.319829 | − | 0.585723i | ||||
\(868\) | −13.9222 | + | 18.5979i | −0.472551 | + | 0.631254i | ||||
\(869\) | 51.7468 | + | 23.6320i | 1.75539 | + | 0.801659i | ||||
\(870\) | −0.338922 | − | 21.9523i | −0.0114905 | − | 0.744254i | ||||
\(871\) | −10.7705 | + | 16.7593i | −0.364946 | + | 0.567866i | ||||
\(872\) | −3.14053 | − | 0.224615i | −0.106352 | − | 0.00760643i | ||||
\(873\) | 1.82663 | + | 1.82663i | 0.0618221 | + | 0.0618221i | ||||
\(874\) | 7.66656 | − | 2.54370i | 0.259325 | − | 0.0860420i | ||||
\(875\) | −41.9045 | − | 13.4548i | −1.41663 | − | 0.454857i | ||||
\(876\) | 6.21328 | + | 7.17051i | 0.209927 | + | 0.242269i | ||||
\(877\) | 1.81863 | + | 8.36009i | 0.0614106 | + | 0.282300i | 0.997604 | − | 0.0691859i | \(-0.0220402\pi\) |
−0.936193 | + | 0.351486i | \(0.885677\pi\) | |||||||
\(878\) | −5.35856 | − | 7.15820i | −0.180843 | − | 0.241578i | ||||
\(879\) | −19.4941 | + | 42.6861i | −0.657519 | + | 1.43977i | ||||
\(880\) | 2.66732 | + | 8.59114i | 0.0899152 | + | 0.289607i | ||||
\(881\) | 7.52581 | − | 25.6305i | 0.253551 | − | 0.863515i | −0.730086 | − | 0.683355i | \(-0.760520\pi\) |
0.983637 | − | 0.180160i | \(-0.0576616\pi\) | |||||||
\(882\) | −11.0419 | − | 2.40202i | −0.371801 | − | 0.0808803i | ||||
\(883\) | 1.04948 | + | 0.391435i | 0.0353177 | + | 0.0131728i | 0.367061 | − | 0.930197i | \(-0.380364\pi\) |
−0.331743 | + | 0.943370i | \(0.607637\pi\) | |||||||
\(884\) | 17.3700 | − | 5.10031i | 0.584218 | − | 0.171542i | ||||
\(885\) | −12.8698 | − | 55.0553i | −0.432613 | − | 1.85066i | ||||
\(886\) | −5.70002 | + | 6.57818i | −0.191496 | + | 0.220998i | ||||
\(887\) | −18.9968 | − | 10.3731i | −0.637851 | − | 0.348293i | 0.127564 | − | 0.991830i | \(-0.459284\pi\) |
−0.765415 | + | 0.643537i | \(0.777466\pi\) | |||||||
\(888\) | −0.399658 | + | 1.07153i | −0.0134117 | + | 0.0359580i | ||||
\(889\) | −35.1771 | + | 22.6069i | −1.17980 | + | 0.758212i | ||||
\(890\) | 12.5978 | − | 9.73767i | 0.422281 | − | 0.326408i | ||||
\(891\) | −44.6829 | + | 6.42444i | −1.49693 | + | 0.215227i | ||||
\(892\) | −10.0765 | + | 3.75835i | −0.337387 | + | 0.125839i | ||||
\(893\) | −15.9120 | + | 11.9115i | −0.532473 | + | 0.398605i | ||||
\(894\) | −30.7252 | − | 19.7459i | −1.02760 | − | 0.660401i | ||||
\(895\) | 6.59579 | + | 5.53935i | 0.220473 | + | 0.185160i | ||||
\(896\) | − | 3.93651i | − | 0.131510i | ||||||
\(897\) | 8.65666 | + | 34.0495i | 0.289037 | + | 1.13688i | ||||
\(898\) | 14.8171 | − | 14.8171i | 0.494453 | − | 0.494453i | ||||
\(899\) | 21.0449 | − | 18.2355i | 0.701888 | − | 0.608190i | ||||
\(900\) | −6.43559 | − | 1.67570i | −0.214520 | − | 0.0558566i | ||||
\(901\) | 1.62171 | − | 11.2792i | 0.0540270 | − | 0.375766i | ||||
\(902\) | −9.85297 | − | 26.4168i | −0.328068 | − | 0.879584i | ||||
\(903\) | 6.60764 | + | 4.94642i | 0.219889 | + | 0.164607i | ||||
\(904\) | −2.23227 | − | 0.655455i | −0.0742443 | − | 0.0218001i | ||||
\(905\) | 7.46483 | − | 6.67283i | 0.248139 | − | 0.221812i | ||||
\(906\) | 2.65244 | + | 5.80804i | 0.0881215 | + | 0.192959i | ||||
\(907\) | 15.3084 | − | 28.0353i | 0.508308 | − | 0.930897i | −0.489941 | − | 0.871755i | \(-0.662982\pi\) |
0.998250 | − | 0.0591416i | \(-0.0188363\pi\) | |||||||
\(908\) | 15.1519 | − | 1.08369i | 0.502833 | − | 0.0359634i | ||||
\(909\) | −13.2190 | − | 11.4543i | −0.438445 | − | 0.379915i | ||||
\(910\) | −29.1983 | − | 10.3798i | −0.967913 | − | 0.344088i | ||||
\(911\) | 4.58077 | − | 2.09197i | 0.151768 | − | 0.0693099i | −0.338083 | − | 0.941116i | \(-0.609779\pi\) |
0.489851 | + | 0.871806i | \(0.337051\pi\) | |||||||
\(912\) | −0.744994 | + | 3.42468i | −0.0246692 | + | 0.113403i | ||||
\(913\) | 41.7350 | − | 22.7890i | 1.38123 | − | 0.754207i | ||||
\(914\) | 3.03097 | + | 21.0809i | 0.100256 | + | 0.697294i | ||||
\(915\) | 4.70110 | + | 8.30210i | 0.155413 | + | 0.274459i | ||||
\(916\) | 23.4026 | + | 3.36479i | 0.773244 | + | 0.111176i | ||||
\(917\) | 52.9316 | − | 11.5146i | 1.74796 | − | 0.380244i | ||||
\(918\) | 1.27479 | − | 17.8239i | 0.0420743 | − | 0.588276i | ||||
\(919\) | −22.4511 | −0.740594 | −0.370297 | − | 0.928913i | \(-0.620744\pi\) | ||||
−0.370297 | + | 0.928913i | \(0.620744\pi\) | |||||||
\(920\) | −0.538121 | − | 10.7103i | −0.0177413 | − | 0.353108i | ||||
\(921\) | −58.6711 | −1.93328 | ||||||||
\(922\) | −1.95515 | + | 27.3366i | −0.0643894 | + | 0.900281i | ||||
\(923\) | −42.1527 | + | 9.16977i | −1.38747 | + | 0.301827i | ||||
\(924\) | −32.6184 | − | 4.68982i | −1.07307 | − | 0.154284i | ||||
\(925\) | −1.71392 | − | 2.14797i | −0.0563533 | − | 0.0706248i | ||||
\(926\) | 1.00869 | + | 7.01557i | 0.0331475 | + | 0.230546i | ||||
\(927\) | 21.5929 | − | 11.7906i | 0.709203 | − | 0.387254i | ||||
\(928\) | −1.00298 | + | 4.61064i | −0.0329246 | + | 0.151352i | ||||
\(929\) | 30.5308 | − | 13.9430i | 1.00168 | − | 0.457454i | 0.154066 | − | 0.988061i | \(-0.450763\pi\) |
0.847618 | + | 0.530607i | \(0.178036\pi\) | |||||||
\(930\) | −11.7915 | − | 24.7993i | −0.386658 | − | 0.813202i | ||||
\(931\) | −10.8147 | − | 9.37099i | −0.354438 | − | 0.307122i | ||||
\(932\) | −25.9197 | + | 1.85382i | −0.849029 | + | 0.0607238i | ||||
\(933\) | −12.1938 | + | 22.3312i | −0.399206 | + | 0.731091i | ||||
\(934\) | −5.77858 | − | 12.6533i | −0.189081 | − | 0.414030i | ||||
\(935\) | −2.58737 | + | 46.1860i | −0.0846159 | + | 1.51044i | ||||
\(936\) | −4.49269 | − | 1.31917i | −0.146848 | − | 0.0431185i | ||||
\(937\) | −3.09902 | − | 2.31990i | −0.101241 | − | 0.0757879i | 0.547458 | − | 0.836833i | \(-0.315596\pi\) |
−0.648699 | + | 0.761045i | \(0.724686\pi\) | |||||||
\(938\) | 7.78468 | + | 20.8715i | 0.254179 | + | 0.681480i | ||||
\(939\) | 7.19253 | − | 50.0252i | 0.234719 | − | 1.63251i | ||||
\(940\) | 9.60232 | + | 24.5791i | 0.313193 | + | 0.801683i | ||||
\(941\) | 27.4073 | − | 23.7486i | 0.893452 | − | 0.774181i | −0.0814819 | − | 0.996675i | \(-0.525965\pi\) |
0.974934 | + | 0.222494i | \(0.0714198\pi\) | |||||||
\(942\) | 28.3838 | − | 28.3838i | 0.924795 | − | 0.924795i | ||||
\(943\) | 3.56153 | + | 33.4216i | 0.115980 | + | 1.08836i | ||||
\(944\) | 12.1513i | 0.395490i | ||||||||
\(945\) | −19.6716 | + | 23.4233i | −0.639917 | + | 0.761959i | ||||
\(946\) | 3.41021 | + | 2.19161i | 0.110875 | + | 0.0712554i | ||||
\(947\) | −7.39105 | + | 5.53287i | −0.240177 | + | 0.179794i | −0.712585 | − | 0.701586i | \(-0.752476\pi\) |
0.472408 | + | 0.881380i | \(0.343385\pi\) | |||||||
\(948\) | 27.5696 | − | 10.2829i | 0.895419 | − | 0.333974i | ||||
\(949\) | −15.8886 | + | 2.28444i | −0.515766 | + | 0.0741559i | ||||
\(950\) | −6.13583 | − | 5.76817i | −0.199073 | − | 0.187144i | ||||
\(951\) | 44.3487 | − | 28.5012i | 1.43810 | − | 0.924213i | ||||
\(952\) | 7.07411 | − | 18.9664i | 0.229273 | − | 0.614705i | ||||
\(953\) | −9.17197 | − | 5.00827i | −0.297109 | − | 0.162234i | 0.323780 | − | 0.946133i | \(-0.395046\pi\) |
−0.620889 | + | 0.783899i | \(0.713228\pi\) | |||||||
\(954\) | −1.93009 | + | 2.22744i | −0.0624890 | + | 0.0721161i | ||||
\(955\) | −21.0854 | + | 33.9506i | −0.682307 | + | 1.09862i | ||||
\(956\) | −11.0102 | + | 3.23288i | −0.356094 | + | 0.104559i | ||||
\(957\) | 37.0094 | + | 13.8038i | 1.19635 | + | 0.446214i | ||||
\(958\) | 22.9282 | + | 4.98772i | 0.740776 | + | 0.161146i | ||||
\(959\) | −6.03288 | + | 20.5461i | −0.194812 | + | 0.663468i | ||||
\(960\) | 4.11776 | + | 2.16662i | 0.132900 | + | 0.0699275i | ||||
\(961\) | 1.59047 | − | 3.48265i | 0.0513055 | − | 0.112343i | ||||
\(962\) | −1.15950 | − | 1.54891i | −0.0373838 | − | 0.0499389i | ||||
\(963\) | 2.00418 | + | 9.21307i | 0.0645838 | + | 0.296887i | ||||
\(964\) | 5.03684 | + | 5.81282i | 0.162226 | + | 0.187218i | ||||
\(965\) | 17.4638 | + | 12.6574i | 0.562181 | + | 0.407455i | ||||
\(966\) | 36.2801 | + | 15.0675i | 1.16729 | + | 0.484790i | ||||
\(967\) | −0.509421 | − | 0.509421i | −0.0163819 | − | 0.0163819i | 0.698868 | − | 0.715250i | \(-0.253687\pi\) |
−0.715250 | + | 0.698868i | \(0.753687\pi\) | |||||||
\(968\) | −5.17124 | − | 0.369854i | −0.166210 | − | 0.0118876i | ||||
\(969\) | −9.74376 | + | 15.1616i | −0.313015 | + | 0.487060i | ||||
\(970\) | 4.34247 | − | 0.0670434i | 0.139428 | − | 0.00215263i | ||||
\(971\) | −15.9441 | − | 7.28145i | −0.511672 | − | 0.233673i | 0.142810 | − | 0.989750i | \(-0.454386\pi\) |
−0.654482 | + | 0.756077i | \(0.727113\pi\) | |||||||
\(972\) | −7.74551 | + | 10.3468i | −0.248437 | + | 0.331874i | ||||
\(973\) | −3.19532 | − | 5.85179i | −0.102437 | − | 0.187600i | ||||
\(974\) | −7.34095 | − | 11.4227i | −0.235219 | − | 0.366008i | ||||
\(975\) | 26.9282 | − | 24.8296i | 0.862393 | − | 0.795184i | ||||
\(976\) | −0.577680 | − | 1.96740i | −0.0184911 | − | 0.0629748i | ||||
\(977\) | −1.70034 | − | 23.7739i | −0.0543989 | − | 0.760595i | −0.949308 | − | 0.314347i | \(-0.898214\pi\) |
0.894909 | − | 0.446248i | \(-0.147240\pi\) | |||||||
\(978\) | −1.16256 | − | 16.2547i | −0.0371745 | − | 0.519768i | ||||
\(979\) | 8.07075 | + | 27.4865i | 0.257942 | + | 0.878471i | ||||
\(980\) | −15.8216 | + | 10.5166i | −0.505404 | + | 0.335939i | ||||
\(981\) | 2.26403 | + | 3.52290i | 0.0722849 | + | 0.112478i | ||||
\(982\) | −14.4655 | − | 26.4916i | −0.461613 | − | 0.845381i | ||||
\(983\) | 13.7464 | − | 18.3630i | 0.438441 | − | 0.585689i | −0.525835 | − | 0.850586i | \(-0.676247\pi\) |
0.964277 | + | 0.264897i | \(0.0853380\pi\) | |||||||
\(984\) | −13.2656 | − | 6.05820i | −0.422892 | − | 0.193128i | ||||
\(985\) | 10.7946 | + | 10.4663i | 0.343943 | + | 0.333484i | ||||
\(986\) | −13.1180 | + | 20.4120i | −0.417762 | + | 0.650051i | ||||
\(987\) | −96.4217 | − | 6.89621i | −3.06914 | − | 0.219509i | ||||
\(988\) | −4.19278 | − | 4.19278i | −0.133390 | − | 0.133390i | ||||
\(989\) | −3.28962 | − | 3.53994i | −0.104604 | − | 0.112564i | ||||
\(990\) | 7.02138 | − | 9.68767i | 0.223154 | − | 0.307894i | ||||
\(991\) | 18.2595 | + | 21.0726i | 0.580032 | + | 0.669392i | 0.967612 | − | 0.252444i | \(-0.0812343\pi\) |
−0.387580 | + | 0.921836i | \(0.626689\pi\) | |||||||
\(992\) | 1.25447 | + | 5.76671i | 0.0398295 | + | 0.183093i | ||||
\(993\) | 10.3160 | + | 13.7805i | 0.327367 | + | 0.437311i | ||||
\(994\) | −20.0382 | + | 43.8775i | −0.635572 | + | 1.39171i | ||||
\(995\) | 0.110972 | − | 0.0344537i | 0.00351804 | − | 0.00109226i | ||||
\(996\) | 6.92945 | − | 23.5995i | 0.219568 | − | 0.747780i | ||||
\(997\) | 44.3823 | + | 9.65479i | 1.40560 | + | 0.305770i | 0.850484 | − | 0.526001i | \(-0.176309\pi\) |
0.555119 | + | 0.831771i | \(0.312673\pi\) | |||||||
\(998\) | −3.02289 | − | 1.12748i | −0.0956878 | − | 0.0356897i | ||||
\(999\) | −1.83246 | + | 0.538060i | −0.0579766 | + | 0.0170235i |
(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 | 230.2.l.a.217.8 | yes | 240 | |
5.3 | odd | 4 | inner | 230.2.l.a.33.2 | yes | 240 | |
23.7 | odd | 22 | inner | 230.2.l.a.7.2 | ✓ | 240 | |
115.53 | even | 44 | inner | 230.2.l.a.53.8 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.7.2 | ✓ | 240 | 23.7 | odd | 22 | inner | |
230.2.l.a.33.2 | yes | 240 | 5.3 | odd | 4 | inner | |
230.2.l.a.53.8 | yes | 240 | 115.53 | even | 44 | inner | |
230.2.l.a.217.8 | yes | 240 | 1.1 | even | 1 | trivial |