Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(6,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.g (of order \(25\), 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: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{25})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{25}]$ |
Embedding invariants
Embedding label | 106.3 | ||
Character | \(\chi\) | \(=\) | 125.106 |
Dual form | 125.2.g.a.46.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{17}{25}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18908 | + | 1.87369i | −0.840807 | + | 1.32490i | 0.103095 | + | 0.994672i | \(0.467126\pi\) |
−0.943901 | + | 0.330228i | \(0.892874\pi\) | |||||||
\(3\) | 2.12747 | − | 1.99783i | 1.22830 | − | 1.15345i | 0.245374 | − | 0.969428i | \(-0.421089\pi\) |
0.982923 | − | 0.184019i | \(-0.0589108\pi\) | |||||||
\(4\) | −1.24525 | − | 2.64628i | −0.622623 | − | 1.32314i | ||||
\(5\) | −1.16227 | − | 1.91027i | −0.519784 | − | 0.854298i | ||||
\(6\) | 1.21358 | + | 6.36180i | 0.495442 | + | 2.59720i | ||||
\(7\) | 1.89189 | − | 1.37454i | 0.715067 | − | 0.519527i | −0.169737 | − | 0.985489i | \(-0.554292\pi\) |
0.884804 | + | 0.465963i | \(0.154292\pi\) | |||||||
\(8\) | 2.03571 | + | 0.257169i | 0.719731 | + | 0.0909231i | ||||
\(9\) | 0.346444 | − | 5.50657i | 0.115481 | − | 1.83552i | ||||
\(10\) | 4.96129 | + | 0.0937219i | 1.56890 | + | 0.0296375i | ||||
\(11\) | 0.422527 | − | 0.665796i | 0.127397 | − | 0.200745i | −0.774642 | − | 0.632400i | \(-0.782070\pi\) |
0.902039 | + | 0.431655i | \(0.142070\pi\) | |||||||
\(12\) | −7.93604 | − | 3.14210i | −2.29094 | − | 0.907047i | ||||
\(13\) | −0.320242 | + | 5.09010i | −0.0888191 | + | 1.41174i | 0.661144 | + | 0.750259i | \(0.270071\pi\) |
−0.749963 | + | 0.661480i | \(0.769929\pi\) | |||||||
\(14\) | 0.325851 | + | 5.17925i | 0.0870873 | + | 1.38421i | ||||
\(15\) | −6.28909 | − | 1.74202i | −1.62384 | − | 0.449787i | ||||
\(16\) | 0.825981 | − | 0.998440i | 0.206495 | − | 0.249610i | ||||
\(17\) | −2.92026 | + | 6.20586i | −0.708267 | + | 1.50514i | 0.148209 | + | 0.988956i | \(0.452649\pi\) |
−0.856476 | + | 0.516187i | \(0.827351\pi\) | |||||||
\(18\) | 9.90566 | + | 7.19689i | 2.33479 | + | 1.69632i | ||||
\(19\) | 2.64319 | + | 2.48212i | 0.606389 | + | 0.569437i | 0.925722 | − | 0.378205i | \(-0.123459\pi\) |
−0.319332 | + | 0.947643i | \(0.603459\pi\) | |||||||
\(20\) | −3.60779 | + | 5.45445i | −0.806727 | + | 1.21965i | ||||
\(21\) | 1.27885 | − | 6.70396i | 0.279068 | − | 1.46292i | ||||
\(22\) | 0.745077 | + | 1.58337i | 0.158851 | + | 0.337576i | ||||
\(23\) | 1.88804 | + | 0.484765i | 0.393683 | + | 0.101081i | 0.440342 | − | 0.897830i | \(-0.354857\pi\) |
−0.0466587 | + | 0.998911i | \(0.514857\pi\) | |||||||
\(24\) | 4.84469 | − | 3.51987i | 0.988918 | − | 0.718491i | ||||
\(25\) | −2.29824 | + | 4.44050i | −0.459649 | + | 0.888101i | ||||
\(26\) | −9.15647 | − | 6.65257i | −1.79573 | − | 1.30468i | ||||
\(27\) | −4.68324 | − | 5.66106i | −0.901290 | − | 1.08947i | ||||
\(28\) | −5.99328 | − | 3.29483i | −1.13262 | − | 0.622665i | ||||
\(29\) | −3.82843 | − | 2.10470i | −0.710921 | − | 0.390832i | 0.0848793 | − | 0.996391i | \(-0.472950\pi\) |
−0.795800 | + | 0.605559i | \(0.792950\pi\) | |||||||
\(30\) | 10.7422 | − | 9.71241i | 1.96126 | − | 1.77324i | ||||
\(31\) | 2.80858 | − | 5.96855i | 0.504437 | − | 1.07198i | −0.476771 | − | 0.879028i | \(-0.658193\pi\) |
0.981208 | − | 0.192955i | \(-0.0618071\pi\) | |||||||
\(32\) | 2.15674 | + | 6.63778i | 0.381262 | + | 1.17340i | ||||
\(33\) | −0.431232 | − | 2.26060i | −0.0750679 | − | 0.393520i | ||||
\(34\) | −8.15545 | − | 12.8509i | −1.39865 | − | 2.20392i | ||||
\(35\) | −4.82463 | − | 2.01643i | −0.815511 | − | 0.340838i | ||||
\(36\) | −15.0034 | + | 5.94025i | −2.50056 | + | 0.990041i | ||||
\(37\) | 2.98889 | − | 3.61294i | 0.491370 | − | 0.593964i | −0.465295 | − | 0.885156i | \(-0.654052\pi\) |
0.956665 | + | 0.291191i | \(0.0940517\pi\) | |||||||
\(38\) | −7.79369 | + | 2.00108i | −1.26430 | + | 0.324618i | ||||
\(39\) | 9.48784 | + | 11.4688i | 1.51927 | + | 1.83648i | ||||
\(40\) | −1.87478 | − | 4.18764i | −0.296429 | − | 0.662125i | ||||
\(41\) | 5.09429 | − | 1.30799i | 0.795594 | − | 0.204274i | 0.171049 | − | 0.985262i | \(-0.445284\pi\) |
0.624545 | + | 0.780989i | \(0.285284\pi\) | |||||||
\(42\) | 11.0405 | + | 10.3677i | 1.70359 | + | 1.59977i | ||||
\(43\) | −0.747262 | + | 2.29983i | −0.113956 | + | 0.350721i | −0.991728 | − | 0.128358i | \(-0.959029\pi\) |
0.877772 | + | 0.479079i | \(0.159029\pi\) | |||||||
\(44\) | −2.28803 | − | 0.289046i | −0.344934 | − | 0.0435753i | ||||
\(45\) | −10.9217 | + | 5.73834i | −1.62811 | + | 0.855421i | ||||
\(46\) | −3.15333 | + | 2.96117i | −0.464933 | + | 0.436601i | ||||
\(47\) | −5.44835 | + | 0.688287i | −0.794724 | + | 0.100397i | −0.512203 | − | 0.858864i | \(-0.671171\pi\) |
−0.282521 | + | 0.959261i | \(0.591171\pi\) | |||||||
\(48\) | −0.237460 | − | 3.77432i | −0.0342744 | − | 0.544777i | ||||
\(49\) | −0.473229 | + | 1.45645i | −0.0676041 | + | 0.208064i | ||||
\(50\) | −5.58733 | − | 9.58631i | −0.790168 | − | 1.35571i | ||||
\(51\) | 6.18549 | + | 19.0370i | 0.866142 | + | 2.66571i | ||||
\(52\) | 13.8686 | − | 5.49097i | 1.92323 | − | 0.761460i | ||||
\(53\) | −0.0246402 | + | 0.129168i | −0.00338459 | + | 0.0177426i | −0.983939 | − | 0.178502i | \(-0.942875\pi\) |
0.980555 | + | 0.196245i | \(0.0628748\pi\) | |||||||
\(54\) | 16.1758 | − | 2.04348i | 2.20125 | − | 0.278083i | ||||
\(55\) | −1.76294 | − | 0.0333031i | −0.237715 | − | 0.00449059i | ||||
\(56\) | 4.20482 | − | 2.31162i | 0.561893 | − | 0.308903i | ||||
\(57\) | 10.5822 | 1.40164 | ||||||||
\(58\) | 8.49585 | − | 4.67064i | 1.11556 | − | 0.613284i | ||||
\(59\) | 7.51592 | + | 2.97576i | 0.978489 | + | 0.387411i | 0.802284 | − | 0.596942i | \(-0.203618\pi\) |
0.176205 | + | 0.984353i | \(0.443618\pi\) | |||||||
\(60\) | 3.22159 | + | 18.8119i | 0.415906 | + | 2.42861i | ||||
\(61\) | −14.2444 | − | 3.65735i | −1.82381 | − | 0.468275i | −0.828083 | − | 0.560606i | \(-0.810568\pi\) |
−0.995728 | + | 0.0923305i | \(0.970568\pi\) | |||||||
\(62\) | 7.84358 | + | 12.3595i | 0.996135 | + | 1.56966i | ||||
\(63\) | −6.91356 | − | 10.8940i | −0.871027 | − | 1.37252i | ||||
\(64\) | −12.4915 | − | 3.20727i | −1.56143 | − | 0.400908i | ||||
\(65\) | 10.0957 | − | 5.30433i | 1.25221 | − | 0.657921i | ||||
\(66\) | 4.74843 | + | 1.88004i | 0.584492 | + | 0.231417i | ||||
\(67\) | −0.115091 | + | 0.0632720i | −0.0140606 | + | 0.00772990i | −0.488768 | − | 0.872414i | \(-0.662554\pi\) |
0.474708 | + | 0.880143i | \(0.342554\pi\) | |||||||
\(68\) | 20.0589 | 2.43250 | ||||||||
\(69\) | 4.98523 | − | 2.74065i | 0.600151 | − | 0.329936i | ||||
\(70\) | 9.51503 | − | 6.64216i | 1.13726 | − | 0.793890i | ||||
\(71\) | −8.69824 | + | 1.09884i | −1.03229 | + | 0.130409i | −0.623182 | − | 0.782077i | \(-0.714160\pi\) |
−0.409109 | + | 0.912485i | \(0.634160\pi\) | |||||||
\(72\) | 2.12138 | − | 11.1207i | 0.250007 | − | 1.31058i | ||||
\(73\) | −1.73325 | + | 0.686243i | −0.202862 | + | 0.0803187i | −0.467358 | − | 0.884068i | \(-0.654794\pi\) |
0.264497 | + | 0.964387i | \(0.414794\pi\) | |||||||
\(74\) | 3.21551 | + | 9.89633i | 0.373796 | + | 1.15042i | ||||
\(75\) | 3.98192 | + | 14.0385i | 0.459792 | + | 1.62103i | ||||
\(76\) | 3.27697 | − | 10.0855i | 0.375894 | − | 1.15688i | ||||
\(77\) | −0.115788 | − | 1.84039i | −0.0131952 | − | 0.209732i | ||||
\(78\) | −32.7708 | + | 4.13992i | −3.71057 | + | 0.468753i | ||||
\(79\) | −6.32177 | + | 5.93653i | −0.711254 | + | 0.667912i | −0.953187 | − | 0.302381i | \(-0.902219\pi\) |
0.241933 | + | 0.970293i | \(0.422219\pi\) | |||||||
\(80\) | −2.86730 | − | 0.417386i | −0.320574 | − | 0.0466652i | ||||
\(81\) | −4.85144 | − | 0.612879i | −0.539049 | − | 0.0680977i | ||||
\(82\) | −3.60675 | + | 11.1004i | −0.398299 | + | 1.22584i | ||||
\(83\) | 4.09906 | + | 3.84927i | 0.449930 | + | 0.422512i | 0.876099 | − | 0.482131i | \(-0.160137\pi\) |
−0.426169 | + | 0.904644i | \(0.640137\pi\) | |||||||
\(84\) | −19.3331 | + | 4.96389i | −2.10941 | + | 0.541604i | ||||
\(85\) | 15.2490 | − | 1.63443i | 1.65399 | − | 0.177279i | ||||
\(86\) | −3.42062 | − | 4.13482i | −0.368855 | − | 0.445870i | ||||
\(87\) | −12.3497 | + | 3.17086i | −1.32403 | + | 0.339952i | ||||
\(88\) | 1.03136 | − | 1.24670i | 0.109944 | − | 0.132899i | ||||
\(89\) | 4.95500 | − | 1.96182i | 0.525229 | − | 0.207953i | −0.0905209 | − | 0.995895i | \(-0.528853\pi\) |
0.615750 | + | 0.787942i | \(0.288853\pi\) | |||||||
\(90\) | 2.23490 | − | 27.2872i | 0.235579 | − | 2.87633i | ||||
\(91\) | 6.39067 | + | 10.0701i | 0.669924 | + | 1.05563i | ||||
\(92\) | −1.06824 | − | 5.59993i | −0.111372 | − | 0.583833i | ||||
\(93\) | −5.94895 | − | 18.3090i | −0.616878 | − | 1.89855i | ||||
\(94\) | 5.18889 | − | 11.0270i | 0.535193 | − | 1.13734i | ||||
\(95\) | 1.66941 | − | 7.93410i | 0.171277 | − | 0.814021i | ||||
\(96\) | 17.8496 | + | 9.81288i | 1.82176 | + | 1.00152i | ||||
\(97\) | −7.75974 | − | 4.26595i | −0.787882 | − | 0.433142i | 0.0363885 | − | 0.999338i | \(-0.488415\pi\) |
−0.824271 | + | 0.566196i | \(0.808415\pi\) | |||||||
\(98\) | −2.16623 | − | 2.61852i | −0.218822 | − | 0.264510i | ||||
\(99\) | −3.51987 | − | 2.55734i | −0.353761 | − | 0.257022i | ||||
\(100\) | 14.6127 | + | 0.552284i | 1.46127 | + | 0.0552284i | ||||
\(101\) | 4.81513 | − | 3.49840i | 0.479123 | − | 0.348103i | −0.321863 | − | 0.946786i | \(-0.604309\pi\) |
0.800986 | + | 0.598683i | \(0.204309\pi\) | |||||||
\(102\) | −43.0245 | − | 11.0468i | −4.26006 | − | 1.09380i | ||||
\(103\) | 0.350373 | + | 0.744581i | 0.0345233 | + | 0.0733658i | 0.921345 | − | 0.388746i | \(-0.127092\pi\) |
−0.886822 | + | 0.462112i | \(0.847092\pi\) | |||||||
\(104\) | −1.96094 | + | 10.2796i | −0.192286 | + | 1.00800i | ||||
\(105\) | −14.2927 | + | 5.34889i | −1.39483 | + | 0.521998i | ||||
\(106\) | −0.212722 | − | 0.199760i | −0.0206614 | − | 0.0194024i | ||||
\(107\) | −10.9330 | − | 7.94327i | −1.05693 | − | 0.767905i | −0.0834120 | − | 0.996515i | \(-0.526582\pi\) |
−0.973518 | + | 0.228611i | \(0.926582\pi\) | |||||||
\(108\) | −9.14899 | + | 19.4426i | −0.880362 | + | 1.87086i | ||||
\(109\) | 6.97110 | − | 8.42662i | 0.667711 | − | 0.807123i | −0.322520 | − | 0.946563i | \(-0.604530\pi\) |
0.990231 | + | 0.139439i | \(0.0445300\pi\) | |||||||
\(110\) | 2.15868 | − | 3.26360i | 0.205822 | − | 0.311172i | ||||
\(111\) | −0.859271 | − | 13.6577i | −0.0815584 | − | 1.29633i | ||||
\(112\) | 0.190272 | − | 3.02428i | 0.0179790 | − | 0.285768i | ||||
\(113\) | 7.98708 | + | 3.16231i | 0.751361 | + | 0.297485i | 0.712417 | − | 0.701756i | \(-0.247601\pi\) |
0.0389442 | + | 0.999241i | \(0.487601\pi\) | |||||||
\(114\) | −12.5830 | + | 19.8277i | −1.17851 | + | 1.85703i | ||||
\(115\) | −1.26838 | − | 4.17009i | −0.118277 | − | 0.388862i | ||||
\(116\) | −0.802285 | + | 12.7520i | −0.0744903 | + | 1.18399i | ||||
\(117\) | 27.9180 | + | 3.52687i | 2.58102 | + | 0.326059i | ||||
\(118\) | −14.5127 | + | 10.5441i | −1.33600 | + | 0.970662i | ||||
\(119\) | 3.00539 | + | 15.7548i | 0.275504 | + | 1.44424i | ||||
\(120\) | −12.3547 | − | 5.16360i | −1.12783 | − | 0.471370i | ||||
\(121\) | 4.41882 | + | 9.39046i | 0.401711 | + | 0.853679i | ||||
\(122\) | 23.7905 | − | 22.3408i | 2.15389 | − | 2.02264i | ||||
\(123\) | 8.22482 | − | 12.9602i | 0.741607 | − | 1.16859i | ||||
\(124\) | −19.2918 | −1.73246 | ||||||||
\(125\) | 11.1537 | − | 0.770815i | 0.997621 | − | 0.0689438i | ||||
\(126\) | 28.6328 | 2.55081 | ||||||||
\(127\) | −6.84348 | + | 10.7836i | −0.607261 | + | 0.956890i | 0.392056 | + | 0.919941i | \(0.371764\pi\) |
−0.999317 | + | 0.0369489i | \(0.988236\pi\) | |||||||
\(128\) | 10.6873 | − | 10.0360i | 0.944633 | − | 0.887070i | ||||
\(129\) | 3.00490 | + | 6.38574i | 0.264567 | + | 0.562233i | ||||
\(130\) | −2.06586 | + | 25.2234i | −0.181188 | + | 2.21224i | ||||
\(131\) | −1.93035 | − | 10.1193i | −0.168656 | − | 0.884124i | −0.961522 | − | 0.274728i | \(-0.911412\pi\) |
0.792866 | − | 0.609396i | \(-0.208588\pi\) | |||||||
\(132\) | −5.44519 | + | 3.95616i | −0.473943 | + | 0.344340i | ||||
\(133\) | 8.41239 | + | 1.06273i | 0.729447 | + | 0.0921506i | ||||
\(134\) | 0.0183007 | − | 0.290881i | 0.00158094 | − | 0.0251283i | ||||
\(135\) | −5.37095 | + | 15.5259i | −0.462257 | + | 1.33626i | ||||
\(136\) | −7.54075 | + | 11.8823i | −0.646614 | + | 1.01890i | ||||
\(137\) | −7.54666 | − | 2.98793i | −0.644755 | − | 0.255276i | 0.0229111 | − | 0.999738i | \(-0.492707\pi\) |
−0.667666 | + | 0.744461i | \(0.732707\pi\) | |||||||
\(138\) | −0.792701 | + | 12.5996i | −0.0674792 | + | 1.07255i | ||||
\(139\) | −0.127048 | − | 2.01937i | −0.0107761 | − | 0.171281i | −0.999734 | − | 0.0230814i | \(-0.992652\pi\) |
0.988958 | − | 0.148199i | \(-0.0473477\pi\) | |||||||
\(140\) | 0.671812 | + | 15.2783i | 0.0567785 | + | 1.29125i | ||||
\(141\) | −10.2161 | + | 12.3492i | −0.860354 | + | 1.03999i | ||||
\(142\) | 8.28401 | − | 17.6044i | 0.695179 | − | 1.47733i | ||||
\(143\) | 3.25366 | + | 2.36392i | 0.272084 | + | 0.197681i | ||||
\(144\) | −5.21183 | − | 4.89423i | −0.434319 | − | 0.407853i | ||||
\(145\) | 0.429145 | + | 9.75955i | 0.0356385 | + | 0.810487i | ||||
\(146\) | 0.775169 | − | 4.06358i | 0.0641534 | − | 0.336304i | ||||
\(147\) | 1.90295 | + | 4.04398i | 0.156953 | + | 0.333542i | ||||
\(148\) | −13.2828 | − | 3.41043i | −1.09184 | − | 0.280336i | ||||
\(149\) | 2.55756 | − | 1.85817i | 0.209523 | − | 0.152228i | −0.478075 | − | 0.878319i | \(-0.658665\pi\) |
0.687598 | + | 0.726092i | \(0.258665\pi\) | |||||||
\(150\) | −31.0387 | − | 9.23208i | −2.53430 | − | 0.753796i | ||||
\(151\) | −17.3585 | − | 12.6117i | −1.41262 | − | 1.02633i | −0.992935 | − | 0.118656i | \(-0.962142\pi\) |
−0.419682 | − | 0.907671i | \(-0.637858\pi\) | |||||||
\(152\) | 4.74243 | + | 5.73261i | 0.384662 | + | 0.464976i | ||||
\(153\) | 33.1613 | + | 18.2306i | 2.68094 | + | 1.47386i | ||||
\(154\) | 3.58601 | + | 1.97142i | 0.288969 | + | 0.158862i | ||||
\(155\) | −14.6659 | + | 1.57193i | −1.17799 | + | 0.126260i | ||||
\(156\) | 18.5351 | − | 39.3890i | 1.48399 | − | 3.15364i | ||||
\(157\) | 0.966723 | + | 2.97527i | 0.0771529 | + | 0.237452i | 0.982193 | − | 0.187874i | \(-0.0601595\pi\) |
−0.905040 | + | 0.425326i | \(0.860160\pi\) | |||||||
\(158\) | −3.60614 | − | 18.9040i | −0.286889 | − | 1.50393i | ||||
\(159\) | 0.205635 | + | 0.324029i | 0.0163079 | + | 0.0256972i | ||||
\(160\) | 10.1732 | − | 11.8349i | 0.804262 | − | 0.935628i | ||||
\(161\) | 4.23829 | − | 1.67806i | 0.334024 | − | 0.132249i | ||||
\(162\) | 6.91709 | − | 8.36133i | 0.543458 | − | 0.656928i | ||||
\(163\) | 13.6812 | − | 3.51273i | 1.07159 | − | 0.275139i | 0.328622 | − | 0.944461i | \(-0.393416\pi\) |
0.742972 | + | 0.669323i | \(0.233416\pi\) | |||||||
\(164\) | −9.80496 | − | 11.8522i | −0.765638 | − | 0.925498i | ||||
\(165\) | −3.81714 | + | 3.45120i | −0.297164 | + | 0.268676i | ||||
\(166\) | −12.0865 | + | 3.10327i | −0.938091 | + | 0.240861i | ||||
\(167\) | 0.843418 | + | 0.792023i | 0.0652657 | + | 0.0612885i | 0.716494 | − | 0.697594i | \(-0.245746\pi\) |
−0.651228 | + | 0.758882i | \(0.725746\pi\) | |||||||
\(168\) | 4.32742 | − | 13.3184i | 0.333867 | − | 1.02754i | ||||
\(169\) | −12.9090 | − | 1.63079i | −0.993002 | − | 0.125445i | ||||
\(170\) | −15.0699 | + | 30.5154i | −1.15581 | + | 2.34042i | ||||
\(171\) | 14.5837 | − | 13.6950i | 1.11524 | − | 1.04728i | ||||
\(172\) | 7.01653 | − | 0.886394i | 0.535006 | − | 0.0675869i | ||||
\(173\) | −1.40257 | − | 22.2932i | −0.106635 | − | 1.69492i | −0.580450 | − | 0.814296i | \(-0.697123\pi\) |
0.473815 | − | 0.880624i | \(-0.342877\pi\) | |||||||
\(174\) | 8.74356 | − | 26.9099i | 0.662848 | − | 2.04004i | ||||
\(175\) | 1.75562 | + | 11.5600i | 0.132712 | + | 0.873851i | ||||
\(176\) | −0.315758 | − | 0.971803i | −0.0238012 | − | 0.0732524i | ||||
\(177\) | 21.9350 | − | 8.68467i | 1.64873 | − | 0.652780i | ||||
\(178\) | −2.21604 | + | 11.6169i | −0.166099 | + | 0.870723i | ||||
\(179\) | −14.2065 | + | 1.79469i | −1.06184 | + | 0.134142i | −0.636797 | − | 0.771031i | \(-0.719741\pi\) |
−0.425043 | + | 0.905173i | \(0.639741\pi\) | |||||||
\(180\) | 28.7855 | + | 21.7562i | 2.14554 | + | 1.62161i | ||||
\(181\) | −7.88610 | + | 4.33542i | −0.586169 | + | 0.322249i | −0.747095 | − | 0.664717i | \(-0.768552\pi\) |
0.160926 | + | 0.986967i | \(0.448552\pi\) | |||||||
\(182\) | −26.4672 | −1.96188 | ||||||||
\(183\) | −37.6114 | + | 20.6770i | −2.78031 | + | 1.52849i | ||||
\(184\) | 3.71882 | + | 1.47239i | 0.274155 | + | 0.108546i | ||||
\(185\) | −10.3756 | − | 1.51035i | −0.762829 | − | 0.111043i | ||||
\(186\) | 41.3792 | + | 10.6244i | 3.03407 | + | 0.779016i | ||||
\(187\) | 2.89795 | + | 4.56644i | 0.211919 | + | 0.333931i | ||||
\(188\) | 8.60594 | + | 13.5608i | 0.627653 | + | 0.989022i | ||||
\(189\) | −16.6415 | − | 4.27282i | −1.21049 | − | 0.310802i | ||||
\(190\) | 12.8810 | + | 12.5622i | 0.934485 | + | 0.911360i | ||||
\(191\) | 8.32469 | + | 3.29598i | 0.602354 | + | 0.238489i | 0.649453 | − | 0.760401i | \(-0.274998\pi\) |
−0.0470996 | + | 0.998890i | \(0.514998\pi\) | |||||||
\(192\) | −32.9828 | + | 18.1325i | −2.38033 | + | 1.30860i | ||||
\(193\) | −16.1360 | −1.16150 | −0.580748 | − | 0.814083i | \(-0.697240\pi\) | ||||
−0.580748 | + | 0.814083i | \(0.697240\pi\) | |||||||
\(194\) | 17.2200 | − | 9.46679i | 1.23633 | − | 0.679676i | ||||
\(195\) | 10.8811 | − | 31.4542i | 0.779210 | − | 2.25248i | ||||
\(196\) | 4.44346 | − | 0.561339i | 0.317390 | − | 0.0400956i | ||||
\(197\) | 2.50978 | − | 13.1567i | 0.178814 | − | 0.937377i | −0.773854 | − | 0.633364i | \(-0.781674\pi\) |
0.952668 | − | 0.304012i | \(-0.0983265\pi\) | |||||||
\(198\) | 8.97707 | − | 3.55427i | 0.637973 | − | 0.252591i | ||||
\(199\) | 3.99488 | + | 12.2950i | 0.283190 | + | 0.871568i | 0.986935 | + | 0.161116i | \(0.0515093\pi\) |
−0.703746 | + | 0.710452i | \(0.748491\pi\) | |||||||
\(200\) | −5.82051 | + | 8.44852i | −0.411572 | + | 0.597401i | ||||
\(201\) | −0.118447 | + | 0.364542i | −0.00835460 | + | 0.0257128i | ||||
\(202\) | 0.829337 | + | 13.1819i | 0.0583520 | + | 0.927478i | ||||
\(203\) | −10.1359 | + | 1.28047i | −0.711404 | + | 0.0898712i | ||||
\(204\) | 42.6748 | − | 40.0743i | 2.98783 | − | 2.80576i | ||||
\(205\) | −8.41957 | − | 8.21121i | −0.588048 | − | 0.573496i | ||||
\(206\) | −1.81174 | − | 0.228876i | −0.126230 | − | 0.0159465i | ||||
\(207\) | 3.32350 | − | 10.2287i | 0.230999 | − | 0.710942i | ||||
\(208\) | 4.81764 | + | 4.52407i | 0.334043 | + | 0.313688i | ||||
\(209\) | 2.76941 | − | 0.711062i | 0.191564 | − | 0.0491852i | ||||
\(210\) | 6.97305 | − | 33.1404i | 0.481186 | − | 2.28691i | ||||
\(211\) | 9.10049 | + | 11.0006i | 0.626504 | + | 0.757313i | 0.984303 | − | 0.176485i | \(-0.0564728\pi\) |
−0.357799 | + | 0.933798i | \(0.616473\pi\) | |||||||
\(212\) | 0.372499 | − | 0.0956415i | 0.0255833 | − | 0.00656868i | ||||
\(213\) | −16.3100 | + | 19.7154i | −1.11754 | + | 1.35087i | ||||
\(214\) | 27.8834 | − | 11.0398i | 1.90607 | − | 0.754666i | ||||
\(215\) | 5.26182 | − | 1.24557i | 0.358853 | − | 0.0849469i | ||||
\(216\) | −8.07785 | − | 12.7286i | −0.549628 | − | 0.866075i | ||||
\(217\) | −2.89046 | − | 15.1523i | −0.196217 | − | 1.02861i | ||||
\(218\) | 7.49967 | + | 23.0816i | 0.507942 | + | 1.56328i | ||||
\(219\) | −2.31645 | + | 4.92271i | −0.156531 | + | 0.332646i | ||||
\(220\) | 2.10716 | + | 4.70671i | 0.142065 | + | 0.317326i | ||||
\(221\) | −30.6533 | − | 16.8518i | −2.06196 | − | 1.13357i | ||||
\(222\) | 26.6121 | + | 14.6301i | 1.78609 | + | 0.981909i | ||||
\(223\) | 3.43433 | + | 4.15139i | 0.229980 | + | 0.277997i | 0.872862 | − | 0.487968i | \(-0.162262\pi\) |
−0.642882 | + | 0.765965i | \(0.722262\pi\) | |||||||
\(224\) | 13.2042 | + | 9.59341i | 0.882243 | + | 0.640987i | ||||
\(225\) | 23.6557 | + | 14.1938i | 1.57705 | + | 0.946256i | ||||
\(226\) | −15.4225 | + | 11.2051i | −1.02589 | + | 0.745350i | ||||
\(227\) | 9.71522 | + | 2.49445i | 0.644822 | + | 0.165562i | 0.556919 | − | 0.830567i | \(-0.311983\pi\) |
0.0879031 | + | 0.996129i | \(0.471983\pi\) | |||||||
\(228\) | −13.1774 | − | 28.0034i | −0.872694 | − | 1.85457i | ||||
\(229\) | 3.54356 | − | 18.5760i | 0.234165 | − | 1.22754i | −0.649845 | − | 0.760067i | \(-0.725166\pi\) |
0.884010 | − | 0.467468i | \(-0.154834\pi\) | |||||||
\(230\) | 9.32166 | + | 2.58201i | 0.614652 | + | 0.170253i | ||||
\(231\) | −3.92312 | − | 3.68406i | −0.258123 | − | 0.242393i | ||||
\(232\) | −7.25229 | − | 5.26910i | −0.476136 | − | 0.345933i | ||||
\(233\) | 1.64278 | − | 3.49109i | 0.107622 | − | 0.228709i | −0.843761 | − | 0.536720i | \(-0.819663\pi\) |
0.951383 | + | 0.308011i | \(0.0996633\pi\) | |||||||
\(234\) | −39.8050 | + | 48.1160i | −2.60214 | + | 3.14544i | ||||
\(235\) | 7.64729 | + | 9.60784i | 0.498854 | + | 0.626746i | ||||
\(236\) | −1.48446 | − | 23.5948i | −0.0966300 | − | 1.53589i | ||||
\(237\) | −1.58920 | + | 25.2596i | −0.103230 | + | 1.64079i | ||||
\(238\) | −33.0933 | − | 13.1026i | −2.14512 | − | 0.849313i | ||||
\(239\) | −14.9667 | + | 23.5838i | −0.968116 | + | 1.52551i | −0.121984 | + | 0.992532i | \(0.538926\pi\) |
−0.846131 | + | 0.532974i | \(0.821074\pi\) | |||||||
\(240\) | −6.93397 | + | 4.84041i | −0.447586 | + | 0.312447i | ||||
\(241\) | 0.679378 | − | 10.7984i | 0.0437626 | − | 0.695586i | −0.913585 | − | 0.406648i | \(-0.866698\pi\) |
0.957348 | − | 0.288939i | \(-0.0933023\pi\) | |||||||
\(242\) | −22.8491 | − | 2.88652i | −1.46880 | − | 0.185552i | ||||
\(243\) | 6.28614 | − | 4.56715i | 0.403256 | − | 0.292983i | ||||
\(244\) | 8.05944 | + | 42.2490i | 0.515953 | + | 2.70472i | ||||
\(245\) | 3.33223 | − | 0.788796i | 0.212888 | − | 0.0503943i | ||||
\(246\) | 14.5035 | + | 30.8215i | 0.924710 | + | 1.96511i | ||||
\(247\) | −13.4807 | + | 12.6592i | −0.857756 | + | 0.805486i | ||||
\(248\) | 7.25238 | − | 11.4279i | 0.460527 | − | 0.725674i | ||||
\(249\) | 16.4108 | 1.03999 | ||||||||
\(250\) | −11.8184 | + | 21.8152i | −0.747462 | + | 1.37972i | ||||
\(251\) | 4.22708 | 0.266811 | 0.133406 | − | 0.991062i | \(-0.457409\pi\) | ||||
0.133406 | + | 0.991062i | \(0.457409\pi\) | |||||||
\(252\) | −20.2196 | + | 31.8610i | −1.27371 | + | 2.00705i | ||||
\(253\) | 1.12050 | − | 1.05222i | 0.0704453 | − | 0.0661526i | ||||
\(254\) | −12.0677 | − | 25.6451i | −0.757194 | − | 1.60912i | ||||
\(255\) | 29.1765 | − | 33.9421i | 1.82710 | − | 2.12554i | ||||
\(256\) | 1.26320 | + | 6.62193i | 0.0789501 | + | 0.413871i | ||||
\(257\) | −3.86519 | + | 2.80822i | −0.241104 | + | 0.175172i | −0.701775 | − | 0.712399i | \(-0.747609\pi\) |
0.460671 | + | 0.887571i | \(0.347609\pi\) | |||||||
\(258\) | −15.5380 | − | 1.96290i | −0.967351 | − | 0.122205i | ||||
\(259\) | 0.688515 | − | 10.9436i | 0.0427822 | − | 0.680004i | ||||
\(260\) | −26.6083 | − | 20.1107i | −1.65018 | − | 1.24722i | ||||
\(261\) | −12.9160 | + | 20.3524i | −0.799480 | + | 1.25978i | ||||
\(262\) | 21.2557 | + | 8.41573i | 1.31318 | + | 0.519926i | ||||
\(263\) | 0.437467 | − | 6.95334i | 0.0269754 | − | 0.428762i | −0.961242 | − | 0.275706i | \(-0.911089\pi\) |
0.988218 | − | 0.153056i | \(-0.0489115\pi\) | |||||||
\(264\) | −0.296505 | − | 4.71282i | −0.0182486 | − | 0.290054i | ||||
\(265\) | 0.275385 | − | 0.103060i | 0.0169168 | − | 0.00633090i | ||||
\(266\) | −11.9942 | + | 14.4985i | −0.735414 | + | 0.888963i | ||||
\(267\) | 6.62224 | − | 14.0730i | 0.405274 | − | 0.861252i | ||||
\(268\) | 0.310752 | + | 0.225775i | 0.0189822 | + | 0.0137914i | ||||
\(269\) | 12.3801 | + | 11.6257i | 0.754830 | + | 0.708833i | 0.963072 | − | 0.269245i | \(-0.0867741\pi\) |
−0.208242 | + | 0.978077i | \(0.566774\pi\) | |||||||
\(270\) | −22.7043 | − | 28.5251i | −1.38174 | − | 1.73598i | ||||
\(271\) | 3.06530 | − | 16.0689i | 0.186204 | − | 0.976115i | −0.759358 | − | 0.650673i | \(-0.774487\pi\) |
0.945562 | − | 0.325442i | \(-0.105513\pi\) | |||||||
\(272\) | 3.78410 | + | 8.04163i | 0.229445 | + | 0.487595i | ||||
\(273\) | 33.7143 | + | 8.65636i | 2.04048 | + | 0.523906i | ||||
\(274\) | 14.5720 | − | 10.5872i | 0.880330 | − | 0.639597i | ||||
\(275\) | 1.98540 | + | 3.40640i | 0.119724 | + | 0.205413i | ||||
\(276\) | −13.4604 | − | 9.77953i | −0.810219 | − | 0.588658i | ||||
\(277\) | −1.99776 | − | 2.41487i | −0.120034 | − | 0.145096i | 0.707073 | − | 0.707140i | \(-0.250015\pi\) |
−0.827107 | + | 0.562044i | \(0.810015\pi\) | |||||||
\(278\) | 3.93474 | + | 2.16314i | 0.235990 | + | 0.129737i | ||||
\(279\) | −31.8932 | − | 17.5334i | −1.90940 | − | 1.04970i | ||||
\(280\) | −9.30296 | − | 5.34560i | −0.555958 | − | 0.319461i | ||||
\(281\) | −6.41152 | + | 13.6252i | −0.382479 | + | 0.812809i | 0.617183 | + | 0.786819i | \(0.288274\pi\) |
−0.999662 | + | 0.0259897i | \(0.991726\pi\) | |||||||
\(282\) | −10.9908 | − | 33.8261i | −0.654490 | − | 2.01431i | ||||
\(283\) | −2.38969 | − | 12.5272i | −0.142052 | − | 0.744663i | −0.980013 | − | 0.198933i | \(-0.936252\pi\) |
0.837961 | − | 0.545730i | \(-0.183748\pi\) | |||||||
\(284\) | 13.7393 | + | 21.6497i | 0.815277 | + | 1.28467i | ||||
\(285\) | −12.2994 | − | 20.2148i | −0.728551 | − | 1.19742i | ||||
\(286\) | −8.29811 | + | 3.28545i | −0.490677 | + | 0.194273i | ||||
\(287\) | 7.83995 | − | 9.47687i | 0.462778 | − | 0.559402i | ||||
\(288\) | 37.2986 | − | 9.57665i | 2.19784 | − | 0.564310i | ||||
\(289\) | −19.1486 | − | 23.1467i | −1.12639 | − | 1.36157i | ||||
\(290\) | −18.7967 | − | 10.8008i | −1.10378 | − | 0.634245i | ||||
\(291\) | −25.0313 | + | 6.42694i | −1.46736 | + | 0.376754i | ||||
\(292\) | 3.97432 | + | 3.73213i | 0.232579 | + | 0.218407i | ||||
\(293\) | 0.591984 | − | 1.82194i | 0.0345841 | − | 0.106439i | −0.932274 | − | 0.361752i | \(-0.882179\pi\) |
0.966858 | + | 0.255313i | \(0.0821786\pi\) | |||||||
\(294\) | −9.83993 | − | 1.24307i | −0.573877 | − | 0.0724975i | ||||
\(295\) | −3.05104 | − | 17.8161i | −0.177639 | − | 1.03729i | ||||
\(296\) | 7.01363 | − | 6.58624i | 0.407659 | − | 0.382818i | ||||
\(297\) | −5.74791 | + | 0.726130i | −0.333528 | + | 0.0421343i | ||||
\(298\) | 0.440503 | + | 7.00159i | 0.0255176 | + | 0.405591i | ||||
\(299\) | −3.07213 | + | 9.45505i | −0.177666 | + | 0.546799i | ||||
\(300\) | 32.1915 | − | 28.0187i | 1.85858 | − | 1.61766i | ||||
\(301\) | 1.74747 | + | 5.37817i | 0.100723 | + | 0.309993i | ||||
\(302\) | 44.2711 | − | 17.5282i | 2.54752 | − | 1.00863i | ||||
\(303\) | 3.25486 | − | 17.0626i | 0.186987 | − | 0.980218i | ||||
\(304\) | 4.66147 | − | 0.588881i | 0.267354 | − | 0.0337746i | ||||
\(305\) | 9.56939 | + | 31.4615i | 0.547942 | + | 1.80148i | ||||
\(306\) | −73.5900 | + | 40.4564i | −4.20686 | + | 2.31274i | ||||
\(307\) | 11.8373 | 0.675588 | 0.337794 | − | 0.941220i | \(-0.390319\pi\) | ||||
0.337794 | + | 0.941220i | \(0.390319\pi\) | |||||||
\(308\) | −4.72601 | + | 2.59815i | −0.269290 | + | 0.148043i | ||||
\(309\) | 2.23296 | + | 0.884090i | 0.127028 | + | 0.0502941i | ||||
\(310\) | 14.4936 | − | 29.3484i | 0.823180 | − | 1.66688i | ||||
\(311\) | 30.6408 | + | 7.86722i | 1.73748 | + | 0.446109i | 0.978710 | − | 0.205249i | \(-0.0658003\pi\) |
0.758771 | + | 0.651358i | \(0.225800\pi\) | |||||||
\(312\) | 16.3650 | + | 25.7871i | 0.926487 | + | 1.45991i | ||||
\(313\) | 15.0742 | + | 23.7531i | 0.852043 | + | 1.34260i | 0.938118 | + | 0.346316i | \(0.112567\pi\) |
−0.0860752 | + | 0.996289i | \(0.527433\pi\) | |||||||
\(314\) | −6.72424 | − | 1.72649i | −0.379471 | − | 0.0974316i | ||||
\(315\) | −12.7751 | + | 25.8686i | −0.719794 | + | 1.45753i | ||||
\(316\) | 23.5819 | + | 9.33673i | 1.32658 | + | 0.525232i | ||||
\(317\) | 6.18336 | − | 3.39933i | 0.347292 | − | 0.190926i | −0.298555 | − | 0.954393i | \(-0.596504\pi\) |
0.645847 | + | 0.763467i | \(0.276504\pi\) | |||||||
\(318\) | −0.851647 | −0.0477580 | ||||||||
\(319\) | −3.01891 | + | 1.65966i | −0.169027 | + | 0.0929232i | ||||
\(320\) | 8.39177 | + | 27.5898i | 0.469114 | + | 1.54232i | ||||
\(321\) | −39.1289 | + | 4.94313i | −2.18396 | + | 0.275898i | ||||
\(322\) | −1.89550 | + | 9.93658i | −0.105632 | + | 0.553744i | ||||
\(323\) | −23.1225 | + | 9.15484i | −1.28657 | + | 0.509389i | ||||
\(324\) | 4.41938 | + | 13.6015i | 0.245521 | + | 0.755637i | ||||
\(325\) | −21.8666 | − | 13.1203i | −1.21294 | − | 0.727784i | ||||
\(326\) | −9.68626 | + | 29.8113i | −0.536473 | + | 1.65109i | ||||
\(327\) | −2.00411 | − | 31.8545i | −0.110828 | − | 1.76156i | ||||
\(328\) | 10.7069 | − | 1.35259i | 0.591187 | − | 0.0746843i | ||||
\(329\) | −9.36161 | + | 8.79113i | −0.516122 | + | 0.484671i | ||||
\(330\) | −1.92760 | − | 11.2559i | −0.106111 | − | 0.619617i | ||||
\(331\) | 7.82601 | + | 0.988654i | 0.430156 | + | 0.0543414i | 0.337431 | − | 0.941350i | \(-0.390442\pi\) |
0.0927254 | + | 0.995692i | \(0.470442\pi\) | |||||||
\(332\) | 5.08192 | − | 15.6406i | 0.278907 | − | 0.858387i | ||||
\(333\) | −18.8595 | − | 17.7102i | −1.03349 | − | 0.970514i | ||||
\(334\) | −2.48690 | + | 0.638527i | −0.136077 | + | 0.0349386i | ||||
\(335\) | 0.254634 | + | 0.146316i | 0.0139121 | + | 0.00799409i | ||||
\(336\) | −5.63720 | − | 6.81420i | −0.307534 | − | 0.371745i | ||||
\(337\) | −30.8774 | + | 7.92796i | −1.68200 | + | 0.431864i | −0.964369 | − | 0.264562i | \(-0.914773\pi\) |
−0.717629 | + | 0.696426i | \(0.754773\pi\) | |||||||
\(338\) | 18.4055 | − | 22.2484i | 1.00113 | − | 1.21015i | ||||
\(339\) | 23.3100 | − | 9.22910i | 1.26603 | − | 0.501256i | ||||
\(340\) | −23.3139 | − | 38.3179i | −1.26437 | − | 2.07808i | ||||
\(341\) | −2.78713 | − | 4.39182i | −0.150932 | − | 0.237830i | ||||
\(342\) | 8.31901 | + | 43.6098i | 0.449841 | + | 2.35815i | ||||
\(343\) | 6.16511 | + | 18.9743i | 0.332885 | + | 1.02451i | ||||
\(344\) | −2.11265 | + | 4.48961i | −0.113907 | + | 0.242064i | ||||
\(345\) | −11.0296 | − | 6.33773i | −0.593812 | − | 0.341212i | ||||
\(346\) | 43.4383 | + | 23.8804i | 2.33526 | + | 1.28382i | ||||
\(347\) | −1.14326 | − | 0.628514i | −0.0613736 | − | 0.0337404i | 0.450771 | − | 0.892639i | \(-0.351149\pi\) |
−0.512145 | + | 0.858899i | \(0.671149\pi\) | |||||||
\(348\) | 23.7694 | + | 28.7323i | 1.27417 | + | 1.54021i | ||||
\(349\) | −0.730885 | − | 0.531019i | −0.0391234 | − | 0.0284248i | 0.568052 | − | 0.822993i | \(-0.307697\pi\) |
−0.607175 | + | 0.794568i | \(0.707697\pi\) | |||||||
\(350\) | −23.7474 | − | 10.4562i | −1.26935 | − | 0.558910i | ||||
\(351\) | 30.3151 | − | 22.0252i | 1.61810 | − | 1.17562i | ||||
\(352\) | 5.33069 | + | 1.36869i | 0.284127 | + | 0.0729513i | ||||
\(353\) | −0.682533 | − | 1.45046i | −0.0363276 | − | 0.0772000i | 0.885840 | − | 0.463992i | \(-0.153583\pi\) |
−0.922167 | + | 0.386792i | \(0.873583\pi\) | |||||||
\(354\) | −9.81006 | + | 51.4261i | −0.521399 | + | 2.73327i | ||||
\(355\) | 12.2088 | + | 15.3388i | 0.647976 | + | 0.814100i | ||||
\(356\) | −11.3617 | − | 10.6694i | −0.602170 | − | 0.565476i | ||||
\(357\) | 37.8693 | + | 27.5137i | 2.00426 | + | 1.45618i | ||||
\(358\) | 13.5299 | − | 28.7525i | 0.715078 | − | 1.51962i | ||||
\(359\) | 4.53030 | − | 5.47619i | 0.239100 | − | 0.289022i | −0.637290 | − | 0.770624i | \(-0.719945\pi\) |
0.876390 | + | 0.481602i | \(0.159945\pi\) | |||||||
\(360\) | −23.7091 | + | 8.87285i | −1.24958 | + | 0.467640i | ||||
\(361\) | −0.367490 | − | 5.84108i | −0.0193416 | − | 0.307425i | ||||
\(362\) | 1.25397 | − | 19.9313i | 0.0659072 | − | 1.04756i | ||||
\(363\) | 28.1615 | + | 11.1499i | 1.47809 | + | 0.585218i | ||||
\(364\) | 18.6903 | − | 29.4512i | 0.979639 | − | 1.54366i | ||||
\(365\) | 3.32542 | + | 2.51337i | 0.174061 | + | 0.131556i | ||||
\(366\) | 5.98059 | − | 95.0587i | 0.312610 | − | 4.96880i | ||||
\(367\) | −32.4655 | − | 4.10134i | −1.69468 | − | 0.214088i | −0.782150 | − | 0.623091i | \(-0.785877\pi\) |
−0.912533 | + | 0.409002i | \(0.865877\pi\) | |||||||
\(368\) | 2.04349 | − | 1.48468i | 0.106524 | − | 0.0773945i | ||||
\(369\) | −5.43766 | − | 28.5052i | −0.283073 | − | 1.48392i | ||||
\(370\) | 15.1673 | − | 17.6447i | 0.788512 | − | 0.917305i | ||||
\(371\) | 0.130930 | + | 0.278241i | 0.00679757 | + | 0.0144456i | ||||
\(372\) | −41.0428 | + | 38.5418i | −2.12797 | + | 1.99830i | ||||
\(373\) | −5.99125 | + | 9.44069i | −0.310215 | + | 0.488821i | −0.963286 | − | 0.268476i | \(-0.913480\pi\) |
0.653071 | + | 0.757296i | \(0.273480\pi\) | |||||||
\(374\) | −12.0020 | −0.620608 | ||||||||
\(375\) | 22.1893 | − | 23.9232i | 1.14585 | − | 1.23539i | ||||
\(376\) | −11.2683 | −0.581116 | ||||||||
\(377\) | 11.9391 | − | 18.8130i | 0.614896 | − | 0.968921i | ||||
\(378\) | 27.7940 | − | 26.1003i | 1.42957 | − | 1.34246i | ||||
\(379\) | 11.0053 | + | 23.3875i | 0.565304 | + | 1.20133i | 0.959344 | + | 0.282240i | \(0.0910773\pi\) |
−0.394039 | + | 0.919094i | \(0.628923\pi\) | |||||||
\(380\) | −23.0747 | + | 5.46218i | −1.18371 | + | 0.280204i | ||||
\(381\) | 6.98448 | + | 36.6139i | 0.357826 | + | 1.87579i | ||||
\(382\) | −16.0744 | + | 11.6787i | −0.822436 | + | 0.597535i | ||||
\(383\) | −24.1880 | − | 3.05566i | −1.23595 | − | 0.156137i | −0.519925 | − | 0.854212i | \(-0.674040\pi\) |
−0.716025 | + | 0.698075i | \(0.754040\pi\) | |||||||
\(384\) | 2.68663 | − | 42.7028i | 0.137102 | − | 2.17917i | ||||
\(385\) | −3.38106 | + | 2.36022i | −0.172315 | + | 0.120288i | ||||
\(386\) | 19.1870 | − | 30.2339i | 0.976593 | − | 1.53886i | ||||
\(387\) | 12.4053 | + | 4.91162i | 0.630598 | + | 0.249671i | ||||
\(388\) | −1.62613 | + | 25.8466i | −0.0825543 | + | 1.31216i | ||||
\(389\) | 0.860370 | + | 13.6752i | 0.0436225 | + | 0.693360i | 0.957691 | + | 0.287799i | \(0.0929236\pi\) |
−0.914068 | + | 0.405561i | \(0.867076\pi\) | |||||||
\(390\) | 45.9970 | + | 57.7893i | 2.32915 | + | 2.92628i | ||||
\(391\) | −8.52194 | + | 10.3013i | −0.430973 | + | 0.520957i | ||||
\(392\) | −1.33791 | + | 2.84320i | −0.0675746 | + | 0.143603i | ||||
\(393\) | −24.3233 | − | 17.6719i | −1.22695 | − | 0.891431i | ||||
\(394\) | 21.6673 | + | 20.3469i | 1.09158 | + | 1.02506i | ||||
\(395\) | 18.6880 | + | 5.17639i | 0.940295 | + | 0.260453i | ||||
\(396\) | −2.38433 | + | 12.4991i | −0.119817 | + | 0.628103i | ||||
\(397\) | −5.65062 | − | 12.0082i | −0.283597 | − | 0.602673i | 0.711377 | − | 0.702811i | \(-0.248072\pi\) |
−0.994974 | + | 0.100137i | \(0.968072\pi\) | |||||||
\(398\) | −27.7872 | − | 7.13454i | −1.39285 | − | 0.357622i | ||||
\(399\) | 20.0203 | − | 14.5456i | 1.00227 | − | 0.728190i | ||||
\(400\) | 2.53527 | + | 5.96243i | 0.126763 | + | 0.298122i | ||||
\(401\) | 27.5246 | + | 19.9978i | 1.37451 | + | 0.998642i | 0.997369 | + | 0.0724867i | \(0.0230935\pi\) |
0.377143 | + | 0.926155i | \(0.376906\pi\) | |||||||
\(402\) | −0.542196 | − | 0.655403i | −0.0270423 | − | 0.0326885i | ||||
\(403\) | 29.4810 | + | 16.2073i | 1.46856 | + | 0.807345i | ||||
\(404\) | −15.2538 | − | 8.38583i | −0.758903 | − | 0.417210i | ||||
\(405\) | 4.46793 | + | 9.97988i | 0.222013 | + | 0.495904i | ||||
\(406\) | 9.65325 | − | 20.5142i | 0.479083 | − | 1.01810i | ||||
\(407\) | −1.14260 | − | 3.51656i | −0.0566365 | − | 0.174309i | ||||
\(408\) | 7.69611 | + | 40.3444i | 0.381014 | + | 1.99735i | ||||
\(409\) | −9.61838 | − | 15.1561i | −0.475598 | − | 0.749423i | 0.518825 | − | 0.854880i | \(-0.326369\pi\) |
−0.994424 | + | 0.105457i | \(0.966369\pi\) | |||||||
\(410\) | 25.3968 | − | 6.01187i | 1.25426 | − | 0.296905i | ||||
\(411\) | −22.0247 | + | 8.72020i | −1.08640 | + | 0.430136i | ||||
\(412\) | 1.53407 | − | 1.85437i | 0.0755782 | − | 0.0913584i | ||||
\(413\) | 18.3096 | − | 4.70110i | 0.900956 | − | 0.231326i | ||||
\(414\) | 15.2135 | + | 18.3899i | 0.747701 | + | 0.903815i | ||||
\(415\) | 2.58892 | − | 12.3042i | 0.127085 | − | 0.603990i | ||||
\(416\) | −34.4776 | + | 8.85234i | −1.69040 | + | 0.434022i | ||||
\(417\) | −4.30465 | − | 4.04233i | −0.210799 | − | 0.197954i | ||||
\(418\) | −1.96073 | + | 6.03452i | −0.0959026 | + | 0.295158i | ||||
\(419\) | 16.8295 | + | 2.12606i | 0.822176 | + | 0.103865i | 0.525156 | − | 0.851006i | \(-0.324007\pi\) |
0.297020 | + | 0.954871i | \(0.404007\pi\) | |||||||
\(420\) | 31.9526 | + | 31.1619i | 1.55913 | + | 1.52055i | ||||
\(421\) | 5.76089 | − | 5.40984i | 0.280769 | − | 0.263659i | −0.531349 | − | 0.847153i | \(-0.678315\pi\) |
0.812118 | + | 0.583494i | \(0.198315\pi\) | |||||||
\(422\) | −31.4329 | + | 3.97090i | −1.53013 | + | 0.193301i | ||||
\(423\) | 1.90255 | + | 30.2402i | 0.0925053 | + | 1.47033i | ||||
\(424\) | −0.0833783 | + | 0.256612i | −0.00404921 | + | 0.0124622i | ||||
\(425\) | −20.8457 | − | 27.2300i | −1.01116 | − | 1.32085i | ||||
\(426\) | −17.5466 | − | 54.0030i | −0.850137 | − | 2.61645i | ||||
\(427\) | −31.9760 | + | 12.6602i | −1.54743 | + | 0.612670i | ||||
\(428\) | −7.40589 | + | 38.8230i | −0.357977 | + | 1.87658i | ||||
\(429\) | 11.6448 | − | 1.47108i | 0.562215 | − | 0.0710242i | ||||
\(430\) | −3.92292 | + | 11.3401i | −0.189180 | + | 0.546868i | ||||
\(431\) | 5.76290 | − | 3.16818i | 0.277589 | − | 0.152606i | −0.336878 | − | 0.941548i | \(-0.609371\pi\) |
0.614467 | + | 0.788942i | \(0.289371\pi\) | |||||||
\(432\) | −9.52050 | −0.458055 | ||||||||
\(433\) | −7.11697 | + | 3.91259i | −0.342020 | + | 0.188027i | −0.643501 | − | 0.765445i | \(-0.722519\pi\) |
0.301482 | + | 0.953472i | \(0.402519\pi\) | |||||||
\(434\) | 31.8278 | + | 12.6015i | 1.52778 | + | 0.604892i | ||||
\(435\) | 20.4109 | + | 19.9058i | 0.978628 | + | 0.954411i | ||||
\(436\) | −30.9799 | − | 7.95430i | −1.48367 | − | 0.380942i | ||||
\(437\) | 3.78719 | + | 5.96766i | 0.181166 | + | 0.285472i | ||||
\(438\) | −6.46919 | − | 10.1938i | −0.309110 | − | 0.487079i | ||||
\(439\) | −6.07934 | − | 1.56091i | −0.290151 | − | 0.0744982i | 0.100809 | − | 0.994906i | \(-0.467857\pi\) |
−0.390960 | + | 0.920408i | \(0.627857\pi\) | |||||||
\(440\) | −3.58026 | − | 0.521170i | −0.170682 | − | 0.0248458i | ||||
\(441\) | 7.85609 | + | 3.11045i | 0.374100 | + | 0.148116i | ||||
\(442\) | 68.0242 | − | 37.3966i | 3.23558 | − | 1.77878i | ||||
\(443\) | −4.80700 | −0.228388 | −0.114194 | − | 0.993458i | \(-0.536428\pi\) | ||||
−0.114194 | + | 0.993458i | \(0.536428\pi\) | |||||||
\(444\) | −35.0722 | + | 19.2811i | −1.66445 | + | 0.915040i | ||||
\(445\) | −9.50667 | − | 7.18520i | −0.450659 | − | 0.340611i | ||||
\(446\) | −11.8621 | + | 1.49853i | −0.561687 | + | 0.0709576i | ||||
\(447\) | 1.72882 | − | 9.06278i | 0.0817703 | − | 0.428655i | ||||
\(448\) | −28.0410 | + | 11.1022i | −1.32481 | + | 0.524531i | ||||
\(449\) | −9.81187 | − | 30.1978i | −0.463051 | − | 1.42512i | −0.861417 | − | 0.507898i | \(-0.830423\pi\) |
0.398367 | − | 0.917226i | \(-0.369577\pi\) | |||||||
\(450\) | −54.7234 | + | 27.4459i | −2.57969 | + | 1.29381i | ||||
\(451\) | 1.28162 | − | 3.94442i | 0.0603491 | − | 0.185736i | ||||
\(452\) | −1.57752 | − | 25.0739i | −0.0742001 | − | 1.17938i | ||||
\(453\) | −62.1259 | + | 7.84832i | −2.91893 | + | 0.368746i | ||||
\(454\) | −16.2260 | + | 15.2372i | −0.761524 | + | 0.715118i | ||||
\(455\) | 11.8089 | − | 23.9121i | 0.553608 | − | 1.12102i | ||||
\(456\) | 21.5422 | + | 2.72141i | 1.00880 | + | 0.127442i | ||||
\(457\) | −8.79209 | + | 27.0593i | −0.411277 | + | 1.26578i | 0.504262 | + | 0.863550i | \(0.331764\pi\) |
−0.915539 | + | 0.402229i | \(0.868236\pi\) | |||||||
\(458\) | 30.5921 | + | 28.7278i | 1.42947 | + | 1.34236i | ||||
\(459\) | 48.8081 | − | 12.5318i | 2.27817 | − | 0.584933i | ||||
\(460\) | −9.45577 | + | 8.54928i | −0.440878 | + | 0.398612i | ||||
\(461\) | 6.19584 | + | 7.48949i | 0.288569 | + | 0.348820i | 0.894799 | − | 0.446469i | \(-0.147319\pi\) |
−0.606230 | + | 0.795290i | \(0.707319\pi\) | |||||||
\(462\) | 11.5677 | − | 2.97008i | 0.538178 | − | 0.138181i | ||||
\(463\) | 7.73741 | − | 9.35292i | 0.359588 | − | 0.434667i | −0.559433 | − | 0.828875i | \(-0.688981\pi\) |
0.919021 | + | 0.394208i | \(0.128981\pi\) | |||||||
\(464\) | −5.26362 | + | 2.08402i | −0.244357 | + | 0.0967480i | ||||
\(465\) | −28.0608 | + | 32.6441i | −1.30129 | + | 1.51384i | ||||
\(466\) | 4.58782 | + | 7.22925i | 0.212527 | + | 0.334889i | ||||
\(467\) | −5.44796 | − | 28.5592i | −0.252102 | − | 1.32156i | −0.852863 | − | 0.522134i | \(-0.825136\pi\) |
0.600762 | − | 0.799428i | \(-0.294864\pi\) | |||||||
\(468\) | −25.4317 | − | 78.2708i | −1.17558 | − | 3.61807i | ||||
\(469\) | −0.130770 | + | 0.277901i | −0.00603841 | + | 0.0128323i | ||||
\(470\) | −27.0953 | + | 2.90416i | −1.24982 | + | 0.133959i | ||||
\(471\) | 8.00075 | + | 4.39845i | 0.368655 | + | 0.202670i | ||||
\(472\) | 14.5349 | + | 7.99064i | 0.669024 | + | 0.367799i | ||||
\(473\) | 1.21548 | + | 1.46927i | 0.0558880 | + | 0.0675569i | ||||
\(474\) | −45.4390 | − | 33.0134i | −2.08708 | − | 1.51635i | ||||
\(475\) | −17.0966 | + | 6.03257i | −0.784444 | + | 0.276794i | ||||
\(476\) | 37.9492 | − | 27.5717i | 1.73940 | − | 1.26375i | ||||
\(477\) | 0.702739 | + | 0.180433i | 0.0321762 | + | 0.00826144i | ||||
\(478\) | −26.3920 | − | 56.0859i | −1.20714 | − | 2.56531i | ||||
\(479\) | 4.81897 | − | 25.2619i | 0.220184 | − | 1.15425i | −0.684777 | − | 0.728752i | \(-0.740101\pi\) |
0.904962 | − | 0.425493i | \(-0.139899\pi\) | |||||||
\(480\) | −2.00083 | − | 45.5027i | −0.0913251 | − | 2.07690i | ||||
\(481\) | 17.4331 | + | 16.3707i | 0.794879 | + | 0.746441i | ||||
\(482\) | 19.4250 | + | 14.1131i | 0.884786 | + | 0.642835i | ||||
\(483\) | 5.66437 | − | 12.0374i | 0.257738 | − | 0.547720i | ||||
\(484\) | 19.3473 | − | 23.3869i | 0.879423 | − | 1.06304i | ||||
\(485\) | 0.869822 | + | 19.7814i | 0.0394966 | + | 0.898226i | ||||
\(486\) | 1.08270 | + | 17.2090i | 0.0491121 | + | 0.780615i | ||||
\(487\) | −0.134611 | + | 2.13959i | −0.00609982 | + | 0.0969539i | −0.999899 | − | 0.0142394i | \(-0.995467\pi\) |
0.993799 | + | 0.111193i | \(0.0354673\pi\) | |||||||
\(488\) | −28.0569 | − | 11.1085i | −1.27008 | − | 0.502859i | ||||
\(489\) | 22.0885 | − | 34.8060i | 0.998878 | − | 1.57398i | ||||
\(490\) | −2.48432 | + | 7.18150i | −0.112230 | + | 0.324427i | ||||
\(491\) | −1.34348 | + | 21.3540i | −0.0606303 | + | 0.963691i | 0.843688 | + | 0.536833i | \(0.180380\pi\) |
−0.904319 | + | 0.426858i | \(0.859620\pi\) | |||||||
\(492\) | −44.5384 | − | 5.62650i | −2.00794 | − | 0.253662i | ||||
\(493\) | 24.2414 | − | 17.6124i | 1.09178 | − | 0.793225i | ||||
\(494\) | −7.68982 | − | 40.3114i | −0.345981 | − | 1.81370i | ||||
\(495\) | −0.794146 | + | 9.69622i | −0.0356942 | + | 0.435813i | ||||
\(496\) | −3.63940 | − | 7.73411i | −0.163414 | − | 0.347272i | ||||
\(497\) | −14.9457 | + | 14.0350i | −0.670407 | + | 0.629554i | ||||
\(498\) | −19.5138 | + | 30.7488i | −0.874433 | + | 1.37789i | ||||
\(499\) | 0.676957 | 0.0303047 | 0.0151524 | − | 0.999885i | \(-0.495177\pi\) | ||||
0.0151524 | + | 0.999885i | \(0.495177\pi\) | |||||||
\(500\) | −15.9289 | − | 28.5561i | −0.712364 | − | 1.27707i | ||||
\(501\) | 3.37668 | 0.150859 | ||||||||
\(502\) | −5.02634 | + | 7.92024i | −0.224336 | + | 0.353498i | ||||
\(503\) | −4.43188 | + | 4.16181i | −0.197608 | + | 0.185566i | −0.777034 | − | 0.629459i | \(-0.783277\pi\) |
0.579426 | + | 0.815025i | \(0.303277\pi\) | |||||||
\(504\) | −11.2724 | − | 23.9550i | −0.502111 | − | 1.06704i | ||||
\(505\) | −12.2794 | − | 5.13210i | −0.546425 | − | 0.228375i | ||||
\(506\) | 0.639170 | + | 3.35065i | 0.0284146 | + | 0.148954i | ||||
\(507\) | −30.7216 | + | 22.3206i | −1.36440 | + | 0.991292i | ||||
\(508\) | 37.0583 | + | 4.68155i | 1.64419 | + | 0.207710i | ||||
\(509\) | −1.64675 | + | 26.1744i | −0.0729911 | + | 1.16016i | 0.775640 | + | 0.631175i | \(0.217427\pi\) |
−0.848631 | + | 0.528985i | \(0.822573\pi\) | |||||||
\(510\) | 28.9038 | + | 95.0276i | 1.27988 | + | 4.20789i | ||||
\(511\) | −2.33586 | + | 3.68072i | −0.103332 | + | 0.162825i | ||||
\(512\) | 13.3531 | + | 5.28688i | 0.590131 | + | 0.233649i | ||||
\(513\) | 1.67275 | − | 26.5876i | 0.0738538 | − | 1.17387i | ||||
\(514\) | −0.665723 | − | 10.5814i | −0.0293638 | − | 0.466724i | ||||
\(515\) | 1.01512 | − | 1.53471i | 0.0447315 | − | 0.0676275i | ||||
\(516\) | 13.1566 | − | 15.9036i | 0.579188 | − | 0.700118i | ||||
\(517\) | −1.84382 | + | 3.91831i | −0.0810910 | + | 0.172327i | ||||
\(518\) | 19.6863 | + | 14.3029i | 0.864965 | + | 0.628434i | ||||
\(519\) | −47.5219 | − | 44.6261i | −2.08598 | − | 1.95887i | ||||
\(520\) | 21.9159 | − | 8.20177i | 0.961076 | − | 0.359671i | ||||
\(521\) | 1.31144 | − | 6.87479i | 0.0574551 | − | 0.301190i | −0.941947 | − | 0.335761i | \(-0.891007\pi\) |
0.999402 | + | 0.0345711i | \(0.0110065\pi\) | |||||||
\(522\) | −22.7759 | − | 48.4012i | −0.996872 | − | 2.11846i | ||||
\(523\) | −13.7811 | − | 3.53837i | −0.602603 | − | 0.154722i | −0.0649504 | − | 0.997888i | \(-0.520689\pi\) |
−0.537653 | + | 0.843166i | \(0.680689\pi\) | |||||||
\(524\) | −24.3747 | + | 17.7092i | −1.06481 | + | 0.773631i | ||||
\(525\) | 26.8299 | + | 21.0861i | 1.17095 | + | 0.920272i | ||||
\(526\) | 12.5082 | + | 9.08776i | 0.545385 | + | 0.396245i | ||||
\(527\) | 28.8382 | + | 34.8594i | 1.25621 | + | 1.51850i | ||||
\(528\) | −2.61326 | − | 1.43665i | −0.113728 | − | 0.0625223i | ||||
\(529\) | −16.8254 | − | 9.24982i | −0.731538 | − | 0.402166i | ||||
\(530\) | −0.134353 | + | 0.638532i | −0.00583592 | + | 0.0277361i | ||||
\(531\) | 18.9901 | − | 40.3560i | 0.824100 | − | 1.75130i | ||||
\(532\) | −7.66320 | − | 23.5849i | −0.332242 | − | 1.02254i | ||||
\(533\) | 5.02640 | + | 26.3493i | 0.217717 | + | 1.14131i | ||||
\(534\) | 18.4940 | + | 29.1419i | 0.800314 | + | 1.26109i | ||||
\(535\) | −2.46667 | + | 30.1171i | −0.106644 | + | 1.30208i | ||||
\(536\) | −0.250564 | + | 0.0992052i | −0.0108227 | + | 0.00428501i | ||||
\(537\) | −26.6384 | + | 32.2002i | −1.14953 | + | 1.38954i | ||||
\(538\) | −36.5040 | + | 9.37263i | −1.57380 | + | 0.404083i | ||||
\(539\) | 0.769745 | + | 0.930462i | 0.0331553 | + | 0.0400778i | ||||
\(540\) | 47.7742 | − | 5.12057i | 2.05587 | − | 0.220354i | ||||
\(541\) | 30.6431 | − | 7.86781i | 1.31745 | − | 0.338264i | 0.476404 | − | 0.879227i | \(-0.341940\pi\) |
0.841046 | + | 0.540963i | \(0.181940\pi\) | |||||||
\(542\) | 26.4632 | + | 24.8506i | 1.13669 | + | 1.06743i | ||||
\(543\) | −8.11603 | + | 24.9786i | −0.348292 | + | 1.07193i | ||||
\(544\) | −47.4914 | − | 5.99956i | −2.03618 | − | 0.257229i | ||||
\(545\) | −24.1994 | − | 3.52265i | −1.03659 | − | 0.150894i | ||||
\(546\) | −56.3083 | + | 52.8770i | −2.40977 | + | 2.26293i | ||||
\(547\) | 22.6128 | − | 2.85666i | 0.966854 | − | 0.122142i | 0.373980 | − | 0.927437i | \(-0.377993\pi\) |
0.592875 | + | 0.805295i | \(0.297993\pi\) | |||||||
\(548\) | 1.49053 | + | 23.6913i | 0.0636723 | + | 1.01204i | ||||
\(549\) | −25.0743 | + | 77.1709i | −1.07015 | + | 3.29357i | ||||
\(550\) | −8.74333 | − | 0.330452i | −0.372817 | − | 0.0140905i | ||||
\(551\) | −4.89515 | − | 15.0657i | −0.208540 | − | 0.641821i | ||||
\(552\) | 10.8533 | − | 4.29711i | 0.461946 | − | 0.182897i | ||||
\(553\) | −3.80009 | + | 19.9208i | −0.161596 | + | 0.847117i | ||||
\(554\) | 6.90022 | − | 0.871700i | 0.293162 | − | 0.0370350i | ||||
\(555\) | −25.0912 | + | 17.5154i | −1.06506 | + | 0.743489i | ||||
\(556\) | −5.18561 | + | 2.85082i | −0.219919 | + | 0.120902i | ||||
\(557\) | 4.49599 | 0.190501 | 0.0952505 | − | 0.995453i | \(-0.469635\pi\) | ||||
0.0952505 | + | 0.995453i | \(0.469635\pi\) | |||||||
\(558\) | 70.7758 | − | 38.9094i | 2.99618 | − | 1.64716i | ||||
\(559\) | −11.4671 | − | 4.54014i | −0.485006 | − | 0.192027i | ||||
\(560\) | −5.99833 | + | 3.15157i | −0.253476 | + | 0.133178i | ||||
\(561\) | 15.2883 | + | 3.92536i | 0.645472 | + | 0.165729i | ||||
\(562\) | −17.9055 | − | 28.2146i | −0.755299 | − | 1.19016i | ||||
\(563\) | −17.8394 | − | 28.1103i | −0.751839 | − | 1.18471i | −0.977589 | − | 0.210523i | \(-0.932483\pi\) |
0.225750 | − | 0.974185i | \(-0.427517\pi\) | |||||||
\(564\) | 45.4011 | + | 11.6570i | 1.91173 | + | 0.490849i | ||||
\(565\) | −3.24231 | − | 18.9329i | −0.136405 | − | 0.796514i | ||||
\(566\) | 26.3136 | + | 10.4183i | 1.10604 | + | 0.437913i | ||||
\(567\) | −10.0208 | + | 5.50899i | −0.420835 | + | 0.231356i | ||||
\(568\) | −17.9896 | −0.754829 | ||||||||
\(569\) | −5.53870 | + | 3.04493i | −0.232194 | + | 0.127650i | −0.593604 | − | 0.804757i | \(-0.702296\pi\) |
0.361410 | + | 0.932407i | \(0.382296\pi\) | |||||||
\(570\) | 52.5011 | + | 0.991780i | 2.19903 | + | 0.0415411i | ||||
\(571\) | 31.0465 | − | 3.92209i | 1.29926 | − | 0.164134i | 0.554900 | − | 0.831917i | \(-0.312756\pi\) |
0.744356 | + | 0.667783i | \(0.232756\pi\) | |||||||
\(572\) | 2.20400 | − | 11.5537i | 0.0921537 | − | 0.483086i | ||||
\(573\) | 24.2954 | − | 9.61921i | 1.01495 | − | 0.401848i | ||||
\(574\) | 8.43439 | + | 25.9584i | 0.352045 | + | 1.08348i | ||||
\(575\) | −6.49177 | + | 7.26973i | −0.270726 | + | 0.303169i | ||||
\(576\) | −21.9887 | + | 67.6741i | −0.916194 | + | 2.81975i | ||||
\(577\) | −0.526184 | − | 8.36345i | −0.0219053 | − | 0.348175i | −0.993679 | − | 0.112260i | \(-0.964191\pi\) |
0.971774 | − | 0.235915i | \(-0.0758088\pi\) | |||||||
\(578\) | 66.1390 | − | 8.35530i | 2.75102 | − | 0.347535i | ||||
\(579\) | −34.3289 | + | 32.2370i | −1.42666 | + | 1.33972i | ||||
\(580\) | 25.2921 | − | 13.2887i | 1.05020 | − | 0.551782i | ||||
\(581\) | 13.0459 | + | 1.64808i | 0.541237 | + | 0.0683741i | ||||
\(582\) | 17.7221 | − | 54.5430i | 0.734605 | − | 2.26088i | ||||
\(583\) | 0.0755887 | + | 0.0709825i | 0.00313056 | + | 0.00293979i | ||||
\(584\) | −3.70487 | + | 0.951250i | −0.153309 | + | 0.0393630i | ||||
\(585\) | −25.7111 | − | 57.4301i | −1.06302 | − | 2.37444i | ||||
\(586\) | 2.70984 | + | 3.27563i | 0.111942 | + | 0.135315i | ||||
\(587\) | 11.5116 | − | 2.95568i | 0.475135 | − | 0.121994i | −0.00352601 | − | 0.999994i | \(-0.501122\pi\) |
0.478661 | + | 0.878000i | \(0.341122\pi\) | |||||||
\(588\) | 8.33187 | − | 10.0715i | 0.343601 | − | 0.415342i | ||||
\(589\) | 22.2383 | − | 8.80475i | 0.916312 | − | 0.362794i | ||||
\(590\) | 37.0097 | + | 15.4680i | 1.52367 | + | 0.636808i | ||||
\(591\) | −20.9454 | − | 33.0046i | −0.861578 | − | 1.35763i | ||||
\(592\) | −1.13854 | − | 5.96845i | −0.0467938 | − | 0.245302i | ||||
\(593\) | 11.7386 | + | 36.1277i | 0.482046 | + | 1.48359i | 0.836214 | + | 0.548404i | \(0.184764\pi\) |
−0.354167 | + | 0.935182i | \(0.615236\pi\) | |||||||
\(594\) | 5.47418 | − | 11.6332i | 0.224608 | − | 0.477317i | ||||
\(595\) | 26.6028 | − | 24.0525i | 1.09061 | − | 0.986056i | ||||
\(596\) | −8.10204 | − | 4.45414i | −0.331873 | − | 0.182448i | ||||
\(597\) | 33.0623 | + | 18.1761i | 1.35315 | + | 0.743900i | ||||
\(598\) | −14.0628 | − | 16.9990i | −0.575071 | − | 0.695142i | ||||
\(599\) | 23.4114 | + | 17.0094i | 0.956563 | + | 0.694984i | 0.952350 | − | 0.305008i | \(-0.0986590\pi\) |
0.00421282 | + | 0.999991i | \(0.498659\pi\) | |||||||
\(600\) | 4.49573 | + | 29.6024i | 0.183537 | + | 1.20851i | ||||
\(601\) | 36.8972 | − | 26.8073i | 1.50507 | − | 1.09349i | 0.536758 | − | 0.843736i | \(-0.319649\pi\) |
0.968308 | − | 0.249758i | \(-0.0803512\pi\) | |||||||
\(602\) | −12.1549 | − | 3.12085i | −0.495397 | − | 0.127196i | ||||
\(603\) | 0.308539 | + | 0.655679i | 0.0125647 | + | 0.0267013i | ||||
\(604\) | −11.7585 | + | 61.6403i | −0.478447 | + | 2.50811i | ||||
\(605\) | 12.8024 | − | 19.3554i | 0.520493 | − | 0.786909i | ||||
\(606\) | 28.0997 | + | 26.3873i | 1.14147 | + | 1.07191i | ||||
\(607\) | 19.7942 | + | 14.3813i | 0.803422 | + | 0.583720i | 0.911916 | − | 0.410377i | \(-0.134603\pi\) |
−0.108494 | + | 0.994097i | \(0.534603\pi\) | |||||||
\(608\) | −10.7751 | + | 22.8982i | −0.436987 | + | 0.928645i | ||||
\(609\) | −19.0058 | + | 22.9740i | −0.770153 | + | 0.930955i | ||||
\(610\) | −70.3279 | − | 19.4801i | −2.84749 | − | 0.788728i | ||||
\(611\) | −1.75866 | − | 27.9531i | −0.0711477 | − | 1.13086i | ||||
\(612\) | 6.94929 | − | 110.456i | 0.280908 | − | 4.46491i | ||||
\(613\) | −14.1308 | − | 5.59476i | −0.570736 | − | 0.225970i | 0.0649891 | − | 0.997886i | \(-0.479299\pi\) |
−0.635725 | + | 0.771916i | \(0.719299\pi\) | |||||||
\(614\) | −14.0754 | + | 22.1793i | −0.568039 | + | 0.895086i | ||||
\(615\) | −34.3170 | − | 0.648270i | −1.38380 | − | 0.0261408i | ||||
\(616\) | 0.237583 | − | 3.77627i | 0.00957249 | − | 0.152150i | ||||
\(617\) | 16.8534 | + | 2.12908i | 0.678494 | + | 0.0857137i | 0.457025 | − | 0.889454i | \(-0.348915\pi\) |
0.221469 | + | 0.975167i | \(0.428915\pi\) | |||||||
\(618\) | −4.31167 | + | 3.13261i | −0.173441 | + | 0.126012i | ||||
\(619\) | 6.44109 | + | 33.7654i | 0.258889 | + | 1.35715i | 0.839675 | + | 0.543089i | \(0.182745\pi\) |
−0.580786 | + | 0.814057i | \(0.697255\pi\) | |||||||
\(620\) | 22.4224 | + | 36.8526i | 0.900504 | + | 1.48003i | ||||
\(621\) | −6.09784 | − | 12.9586i | −0.244698 | − | 0.520010i | ||||
\(622\) | −51.1751 | + | 48.0566i | −2.05193 | + | 1.92689i | ||||
\(623\) | 6.67771 | − | 10.5224i | 0.267537 | − | 0.421571i | ||||
\(624\) | 19.2877 | 0.772126 | ||||||||
\(625\) | −14.4361 | − | 20.4107i | −0.577446 | − | 0.816429i | ||||
\(626\) | −62.4304 | −2.49522 | ||||||||
\(627\) | 4.47125 | − | 7.04556i | 0.178565 | − | 0.281373i | ||||
\(628\) | 6.66959 | − | 6.26316i | 0.266146 | − | 0.249927i | ||||
\(629\) | 13.6931 | + | 29.0994i | 0.545980 | + | 1.16027i | ||||
\(630\) | −33.2791 | − | 54.6963i | −1.32587 | − | 2.17915i | ||||
\(631\) | 3.65334 | + | 19.1515i | 0.145437 | + | 0.762408i | 0.978021 | + | 0.208509i | \(0.0668609\pi\) |
−0.832583 | + | 0.553900i | \(0.813139\pi\) | |||||||
\(632\) | −14.3960 | + | 10.4593i | −0.572640 | + | 0.416047i | ||||
\(633\) | 41.3384 | + | 5.22225i | 1.64305 | + | 0.207566i | ||||
\(634\) | −0.983217 | + | 15.6278i | −0.0390485 | + | 0.620659i | ||||
\(635\) | 28.5536 | + | 0.539395i | 1.13311 | + | 0.0214052i | ||||
\(636\) | 0.601406 | − | 0.947664i | 0.0238473 | − | 0.0375773i | ||||
\(637\) | −7.26191 | − | 2.87519i | −0.287727 | − | 0.113919i | ||||
\(638\) | 0.480037 | − | 7.62998i | 0.0190049 | − | 0.302074i | ||||
\(639\) | 3.03741 | + | 48.2782i | 0.120158 | + | 1.90986i | ||||
\(640\) | −31.5931 | − | 8.75099i | −1.24883 | − | 0.345913i | ||||
\(641\) | −9.46974 | + | 11.4470i | −0.374032 | + | 0.452128i | −0.923620 | − | 0.383308i | \(-0.874785\pi\) |
0.549588 | + | 0.835436i | \(0.314785\pi\) | |||||||
\(642\) | 37.2655 | − | 79.1932i | 1.47075 | − | 3.12551i | ||||
\(643\) | −27.7119 | − | 20.1338i | −1.09285 | − | 0.794001i | −0.112971 | − | 0.993598i | \(-0.536037\pi\) |
−0.979878 | + | 0.199597i | \(0.936037\pi\) | |||||||
\(644\) | −9.71831 | − | 9.12610i | −0.382955 | − | 0.359619i | ||||
\(645\) | 8.70595 | − | 13.1621i | 0.342796 | − | 0.518258i | ||||
\(646\) | 10.3412 | − | 54.2102i | 0.406867 | − | 2.13287i | ||||
\(647\) | −16.7263 | − | 35.5452i | −0.657578 | − | 1.39742i | −0.903692 | − | 0.428184i | \(-0.859154\pi\) |
0.246114 | − | 0.969241i | \(-0.420846\pi\) | |||||||
\(648\) | −9.71849 | − | 2.49528i | −0.381778 | − | 0.0980240i | ||||
\(649\) | 5.15693 | − | 3.74673i | 0.202427 | − | 0.147072i | ||||
\(650\) | 50.5845 | − | 25.3701i | 1.98409 | − | 0.995098i | ||||
\(651\) | −36.4212 | − | 26.4615i | −1.42746 | − | 1.03711i | ||||
\(652\) | −26.3321 | − | 31.8301i | −1.03125 | − | 1.24656i | ||||
\(653\) | −0.111489 | − | 0.0612914i | −0.00436289 | − | 0.00239852i | 0.479571 | − | 0.877503i | \(-0.340792\pi\) |
−0.483934 | + | 0.875105i | \(0.660792\pi\) | |||||||
\(654\) | 62.0685 | + | 34.1224i | 2.42707 | + | 1.33429i | ||||
\(655\) | −17.0869 | + | 15.4488i | −0.667641 | + | 0.603636i | ||||
\(656\) | 2.90184 | − | 6.16672i | 0.113298 | − | 0.240770i | ||||
\(657\) | 3.17837 | + | 9.78203i | 0.124000 | + | 0.381633i | ||||
\(658\) | −5.34016 | − | 27.9941i | −0.208181 | − | 1.09132i | ||||
\(659\) | −5.80161 | − | 9.14187i | −0.225998 | − | 0.356117i | 0.712340 | − | 0.701835i | \(-0.247635\pi\) |
−0.938338 | + | 0.345718i | \(0.887635\pi\) | |||||||
\(660\) | 13.8861 | + | 5.80363i | 0.540517 | + | 0.225906i | ||||
\(661\) | −0.561358 | + | 0.222257i | −0.0218343 | + | 0.00864481i | −0.379016 | − | 0.925390i | \(-0.623738\pi\) |
0.357182 | + | 0.934035i | \(0.383738\pi\) | |||||||
\(662\) | −11.1582 | + | 13.4879i | −0.433675 | + | 0.524223i | ||||
\(663\) | −98.8809 | + | 25.3883i | −3.84022 | + | 0.986000i | ||||
\(664\) | 7.35456 | + | 8.89014i | 0.285412 | + | 0.345004i | ||||
\(665\) | −7.74739 | − | 17.3051i | −0.300431 | − | 0.671063i | ||||
\(666\) | 55.6089 | − | 14.2779i | 2.15480 | − | 0.553259i | ||||
\(667\) | −6.20793 | − | 5.82963i | −0.240372 | − | 0.225724i | ||||
\(668\) | 1.04565 | − | 3.21819i | 0.0404575 | − | 0.124515i | ||||
\(669\) | 15.6002 | + | 1.97076i | 0.603139 | + | 0.0761941i | ||||
\(670\) | −0.576931 | + | 0.303124i | −0.0222888 | + | 0.0117107i | ||||
\(671\) | −8.45370 | + | 7.93855i | −0.326351 | + | 0.306464i | ||||
\(672\) | 47.2576 | − | 5.97002i | 1.82300 | − | 0.230298i | ||||
\(673\) | −2.61067 | − | 41.4954i | −0.100634 | − | 1.59953i | −0.647336 | − | 0.762205i | \(-0.724117\pi\) |
0.546702 | − | 0.837327i | \(-0.315883\pi\) | |||||||
\(674\) | 21.8611 | − | 67.2816i | 0.842059 | − | 2.59159i | ||||
\(675\) | 35.9012 | − | 7.78543i | 1.38184 | − | 0.299662i | ||||
\(676\) | 11.7594 | + | 36.1917i | 0.452284 | + | 1.39199i | ||||
\(677\) | 21.4764 | − | 8.50311i | 0.825406 | − | 0.326801i | 0.0828303 | − | 0.996564i | \(-0.473604\pi\) |
0.742575 | + | 0.669762i | \(0.233604\pi\) | |||||||
\(678\) | −10.4250 | + | 54.6499i | −0.400371 | + | 2.09882i | ||||
\(679\) | −20.5443 | + | 2.59535i | −0.788417 | + | 0.0996003i | ||||
\(680\) | 31.4628 | + | 0.594352i | 1.20654 | + | 0.0227924i | ||||
\(681\) | 25.6523 | − | 14.1025i | 0.983000 | − | 0.540409i | ||||
\(682\) | 11.5430 | 0.442005 | ||||||||
\(683\) | −33.2211 | + | 18.2635i | −1.27117 | + | 0.698832i | −0.967240 | − | 0.253862i | \(-0.918299\pi\) |
−0.303930 | + | 0.952694i | \(0.598299\pi\) | |||||||
\(684\) | −54.4011 | − | 21.5389i | −2.08008 | − | 0.823561i | ||||
\(685\) | 3.06352 | + | 17.8889i | 0.117051 | + | 0.683501i | ||||
\(686\) | −42.8827 | − | 11.0104i | −1.63727 | − | 0.420379i | ||||
\(687\) | −29.5728 | − | 46.5993i | −1.12827 | − | 1.77787i | ||||
\(688\) | 1.67902 | + | 2.64572i | 0.0640121 | + | 0.100867i | ||||
\(689\) | −0.649589 | − | 0.166786i | −0.0247474 | − | 0.00635404i | ||||
\(690\) | 24.9900 | − | 13.1299i | 0.951352 | − | 0.499848i | ||||
\(691\) | −35.9136 | − | 14.2192i | −1.36622 | − | 0.540923i | −0.433376 | − | 0.901213i | \(-0.642678\pi\) |
−0.932840 | + | 0.360290i | \(0.882678\pi\) | |||||||
\(692\) | −57.2475 | + | 31.4721i | −2.17622 | + | 1.19639i | ||||
\(693\) | −10.1744 | −0.386492 | ||||||||
\(694\) | 2.53707 | − | 1.39477i | 0.0963060 | − | 0.0529446i | ||||
\(695\) | −3.70987 | + | 2.58975i | −0.140723 | + | 0.0982350i | ||||
\(696\) | −25.9558 | + | 3.27898i | −0.983852 | + | 0.124289i | ||||
\(697\) | −6.75942 | + | 35.4341i | −0.256031 | + | 1.34216i | ||||
\(698\) | 1.86405 | − | 0.738028i | 0.0705552 | − | 0.0279348i | ||||
\(699\) | −3.47963 | − | 10.7092i | −0.131612 | − | 0.405059i | ||||
\(700\) | 28.4047 | − | 19.0409i | 1.07360 | − | 0.719677i | ||||
\(701\) | −11.0748 | + | 34.0849i | −0.418291 | + | 1.28737i | 0.490983 | + | 0.871169i | \(0.336638\pi\) |
−0.909274 | + | 0.416199i | \(0.863362\pi\) | |||||||
\(702\) | 5.22135 | + | 82.9909i | 0.197067 | + | 3.13229i | ||||
\(703\) | 16.8680 | − | 2.13092i | 0.636187 | − | 0.0803691i | ||||
\(704\) | −7.41337 | + | 6.96162i | −0.279402 | + | 0.262376i | ||||
\(705\) | 35.4642 | + | 5.16243i | 1.33566 | + | 0.194428i | ||||
\(706\) | 3.52929 | + | 0.445853i | 0.132827 | + | 0.0167799i | ||||
\(707\) | 4.30101 | − | 13.2372i | 0.161756 | − | 0.497835i | ||||
\(708\) | −50.2965 | − | 47.2316i | −1.89026 | − | 1.77507i | ||||
\(709\) | −33.1597 | + | 8.51396i | −1.24534 | + | 0.319749i | −0.813160 | − | 0.582040i | \(-0.802255\pi\) |
−0.432178 | + | 0.901788i | \(0.642255\pi\) | |||||||
\(710\) | −43.2574 | + | 4.63646i | −1.62342 | + | 0.174003i | ||||
\(711\) | 30.4998 | + | 36.8680i | 1.14383 | + | 1.38266i | ||||
\(712\) | 10.5914 | − | 2.71942i | 0.396931 | − | 0.101915i | ||||
\(713\) | 8.19606 | − | 9.90733i | 0.306945 | − | 0.371032i | ||||
\(714\) | −96.5818 | + | 38.2394i | −3.61448 | + | 1.43107i | ||||
\(715\) | 0.734083 | − | 8.96287i | 0.0274531 | − | 0.335192i | ||||
\(716\) | 22.4398 | + | 35.3595i | 0.838615 | + | 1.32145i | ||||
\(717\) | 15.2751 | + | 80.0747i | 0.570458 | + | 2.99045i | ||||
\(718\) | 4.87379 | + | 15.0000i | 0.181888 | + | 0.559795i | ||||
\(719\) | 13.1828 | − | 28.0149i | 0.491636 | − | 1.04478i | −0.492978 | − | 0.870042i | \(-0.664092\pi\) |
0.984615 | − | 0.174739i | \(-0.0559082\pi\) | |||||||
\(720\) | −3.29173 | + | 15.6444i | −0.122675 | + | 0.583033i | ||||
\(721\) | 1.68632 | + | 0.927064i | 0.0628019 | + | 0.0345257i | ||||
\(722\) | 11.3814 | + | 6.25695i | 0.423570 | + | 0.232860i | ||||
\(723\) | −20.1280 | − | 24.3306i | −0.748569 | − | 0.904864i | ||||
\(724\) | 21.2929 | + | 15.4702i | 0.791343 | + | 0.574945i | ||||
\(725\) | 18.1446 | − | 12.1630i | 0.673872 | − | 0.451724i | ||||
\(726\) | −54.3777 | + | 39.5077i | −2.01815 | + | 1.46627i | ||||
\(727\) | 32.6817 | + | 8.39124i | 1.21210 | + | 0.311214i | 0.800041 | − | 0.599945i | \(-0.204811\pi\) |
0.412056 | + | 0.911158i | \(0.364811\pi\) | |||||||
\(728\) | 10.4198 | + | 22.1432i | 0.386184 | + | 0.820682i | ||||
\(729\) | 6.99809 | − | 36.6853i | 0.259188 | − | 1.35871i | ||||
\(730\) | −8.66348 | + | 3.24221i | −0.320650 | + | 0.119999i | ||||
\(731\) | −12.0903 | − | 11.3535i | −0.447175 | − | 0.419925i | ||||
\(732\) | 101.553 | + | 73.7823i | 3.75349 | + | 2.72707i | ||||
\(733\) | 21.7440 | − | 46.2084i | 0.803134 | − | 1.70675i | 0.100791 | − | 0.994908i | \(-0.467863\pi\) |
0.702343 | − | 0.711839i | \(-0.252137\pi\) | |||||||
\(734\) | 46.2887 | − | 55.9534i | 1.70855 | − | 2.06528i | ||||
\(735\) | 5.51334 | − | 8.33536i | 0.203362 | − | 0.307454i | ||||
\(736\) | 0.854248 | + | 13.5779i | 0.0314880 | + | 0.500487i | ||||
\(737\) | −0.00650295 | + | 0.103361i | −0.000239539 | + | 0.00380737i | ||||
\(738\) | 59.8758 | + | 23.7065i | 2.20406 | + | 0.872649i | ||||
\(739\) | 3.38615 | − | 5.33571i | 0.124561 | − | 0.196277i | −0.776324 | − | 0.630334i | \(-0.782918\pi\) |
0.900886 | + | 0.434056i | \(0.142918\pi\) | |||||||
\(740\) | 8.92335 | + | 29.3375i | 0.328029 | + | 1.07847i | ||||
\(741\) | −3.38885 | + | 53.8642i | −0.124493 | + | 1.97875i | ||||
\(742\) | −0.677025 | − | 0.0855281i | −0.0248544 | − | 0.00313983i | ||||
\(743\) | −9.80461 | + | 7.12347i | −0.359696 | + | 0.261335i | −0.752925 | − | 0.658106i | \(-0.771358\pi\) |
0.393229 | + | 0.919441i | \(0.371358\pi\) | |||||||
\(744\) | −7.40180 | − | 38.8016i | −0.271363 | − | 1.42254i | ||||
\(745\) | −6.52219 | − | 2.72591i | −0.238955 | − | 0.0998698i | ||||
\(746\) | −10.5649 | − | 22.4515i | −0.386807 | − | 0.822007i | ||||
\(747\) | 22.6164 | − | 21.2382i | 0.827491 | − | 0.777065i | ||||
\(748\) | 8.47543 | − | 13.3551i | 0.309892 | − | 0.488312i | ||||
\(749\) | −31.6023 | −1.15472 | ||||||||
\(750\) | 18.4397 | + | 70.0224i | 0.673323 | + | 2.55686i | ||||
\(751\) | −22.3012 | −0.813783 | −0.406892 | − | 0.913476i | \(-0.633387\pi\) | ||||
−0.406892 | + | 0.913476i | \(0.633387\pi\) | |||||||
\(752\) | −3.81303 | + | 6.00837i | −0.139047 | + | 0.219103i | ||||
\(753\) | 8.99300 | − | 8.44499i | 0.327723 | − | 0.307753i | ||||
\(754\) | 21.0533 | + | 44.7404i | 0.766714 | + | 1.62935i | ||||
\(755\) | −3.91640 | + | 47.8177i | −0.142532 | + | 1.74026i | ||||
\(756\) | 9.41570 | + | 49.3588i | 0.342446 | + | 1.79516i | ||||
\(757\) | 13.9318 | − | 10.1220i | 0.506359 | − | 0.367891i | −0.305082 | − | 0.952326i | \(-0.598684\pi\) |
0.811441 | + | 0.584435i | \(0.198684\pi\) | |||||||
\(758\) | −56.9070 | − | 7.18903i | −2.06696 | − | 0.261117i | ||||
\(759\) | 0.281678 | − | 4.47714i | 0.0102243 | − | 0.162510i | ||||
\(760\) | 5.43883 | − | 15.7222i | 0.197287 | − | 0.570303i | ||||
\(761\) | 18.9806 | − | 29.9086i | 0.688045 | − | 1.08419i | −0.303299 | − | 0.952895i | \(-0.598088\pi\) |
0.991344 | − | 0.131290i | \(-0.0419119\pi\) | |||||||
\(762\) | −76.9083 | − | 30.4501i | −2.78609 | − | 1.10309i | ||||
\(763\) | 1.60585 | − | 25.5243i | 0.0581357 | − | 0.924041i | ||||
\(764\) | −1.64420 | − | 26.1338i | −0.0594850 | − | 0.945487i | ||||
\(765\) | −3.71720 | − | 84.5360i | −0.134396 | − | 3.05640i | ||||
\(766\) | 34.4869 | − | 41.6874i | 1.24606 | − | 1.50623i | ||||
\(767\) | −17.5538 | + | 37.3038i | −0.633832 | + | 1.34696i | ||||
\(768\) | 15.9169 | + | 11.5643i | 0.574353 | + | 0.417292i | ||||
\(769\) | 21.0722 | + | 19.7881i | 0.759883 | + | 0.713578i | 0.964156 | − | 0.265336i | \(-0.0854829\pi\) |
−0.204273 | + | 0.978914i | \(0.565483\pi\) | |||||||
\(770\) | −0.401971 | − | 9.14156i | −0.0144860 | − | 0.329439i | ||||
\(771\) | −2.61273 | + | 13.6964i | −0.0940951 | + | 0.493264i | ||||
\(772\) | 20.0933 | + | 42.7004i | 0.723174 | + | 1.53682i | ||||
\(773\) | 12.1285 | + | 3.11407i | 0.436232 | + | 0.112005i | 0.460418 | − | 0.887702i | \(-0.347699\pi\) |
−0.0241862 | + | 0.999707i | \(0.507699\pi\) | |||||||
\(774\) | −23.9538 | + | 17.4034i | −0.861001 | + | 0.625553i | ||||
\(775\) | 20.0485 | + | 26.1887i | 0.720165 | + | 0.940726i | ||||
\(776\) | −14.6995 | − | 10.6798i | −0.527680 | − | 0.383382i | ||||
\(777\) | −20.3987 | − | 24.6578i | −0.731800 | − | 0.884594i | ||||
\(778\) | −26.6461 | − | 14.6488i | −0.955310 | − | 0.525186i | ||||
\(779\) | 16.7118 | + | 9.18737i | 0.598761 | + | 0.329172i | ||||
\(780\) | −96.7863 | + | 10.3738i | −3.46551 | + | 0.371443i | ||||
\(781\) | −2.94364 | + | 6.25555i | −0.105332 | + | 0.223841i | ||||
\(782\) | −9.16810 | − | 28.2165i | −0.327851 | − | 1.00902i | ||||
\(783\) | 6.01462 | + | 31.5298i | 0.214945 | + | 1.12678i | ||||
\(784\) | 1.06330 | + | 1.67549i | 0.0379749 | + | 0.0598389i | ||||
\(785\) | 4.55996 | − | 5.30477i | 0.162752 | − | 0.189335i | ||||
\(786\) | 62.0341 | − | 24.5611i | 2.21268 | − | 0.876064i | ||||
\(787\) | 24.4792 | − | 29.5903i | 0.872590 | − | 1.05478i | −0.125443 | − | 0.992101i | \(-0.540035\pi\) |
0.998034 | − | 0.0626798i | \(-0.0199647\pi\) | |||||||
\(788\) | −37.9416 | + | 9.74176i | −1.35161 | + | 0.347036i | ||||
\(789\) | −12.9609 | − | 15.6670i | −0.461420 | − | 0.557761i | ||||
\(790\) | −31.9205 | + | 28.8603i | −1.13568 | + | 1.02681i | ||||
\(791\) | 19.4574 | − | 4.99581i | 0.691825 | − | 0.177630i | ||||
\(792\) | −6.50776 | − | 6.11119i | −0.231243 | − | 0.217152i | ||||
\(793\) | 23.1779 | − | 71.3342i | 0.823071 | − | 2.53315i | ||||
\(794\) | 29.2187 | + | 3.69117i | 1.03693 | + | 0.130995i | ||||
\(795\) | 0.379978 | − | 0.769428i | 0.0134764 | − | 0.0272888i | ||||
\(796\) | 27.5614 | − | 25.8818i | 0.976887 | − | 0.917358i | ||||
\(797\) | −35.3326 | + | 4.46354i | −1.25154 | + | 0.158107i | −0.723029 | − | 0.690817i | \(-0.757251\pi\) |
−0.528515 | + | 0.848924i | \(0.677251\pi\) | |||||||
\(798\) | 3.44821 | + | 54.8077i | 0.122065 | + | 1.94017i | ||||
\(799\) | 11.6392 | − | 35.8217i | 0.411765 | − | 1.26728i | ||||
\(800\) | −34.4318 | − | 5.67820i | −1.21735 | − | 0.200755i | ||||
\(801\) | −9.08629 | − | 27.9647i | −0.321048 | − | 0.988085i | ||||
\(802\) | −70.1986 | + | 27.7936i | −2.47880 | + | 0.981426i | ||||
\(803\) | −0.275448 | + | 1.44395i | −0.00972035 | + | 0.0509559i | ||||
\(804\) | 1.11218 | − | 0.140501i | 0.0392234 | − | 0.00495507i | ||||
\(805\) | −8.13158 | − | 6.14590i | −0.286601 | − | 0.216615i | ||||
\(806\) | −65.4229 | + | 35.9665i | −2.30442 | + | 1.26687i | ||||
\(807\) | 49.5646 | 1.74476 | ||||||||
\(808\) | 10.7019 | − | 5.88340i | 0.376490 | − | 0.206977i | ||||
\(809\) | −17.8609 | − | 7.07163i | −0.627956 | − | 0.248625i | 0.0325217 | − | 0.999471i | \(-0.489646\pi\) |
−0.660478 | + | 0.750846i | \(0.729646\pi\) | |||||||
\(810\) | −24.0119 | − | 3.49535i | −0.843693 | − | 0.122814i | ||||
\(811\) | 9.13188 | + | 2.34467i | 0.320664 | + | 0.0823324i | 0.405591 | − | 0.914055i | \(-0.367066\pi\) |
−0.0849272 | + | 0.996387i | \(0.527066\pi\) | |||||||
\(812\) | 16.0102 | + | 25.2281i | 0.561849 | + | 0.885332i | ||||
\(813\) | −25.5815 | − | 40.3100i | −0.897184 | − | 1.41374i | ||||
\(814\) | 7.94758 | + | 2.04059i | 0.278562 | + | 0.0715227i | ||||
\(815\) | −22.6115 | − | 22.0520i | −0.792048 | − | 0.772448i | ||||
\(816\) | 24.1164 | + | 9.54835i | 0.844242 | + | 0.334259i | ||||
\(817\) | −7.68362 | + | 4.22411i | −0.268816 | + | 0.147783i | ||||
\(818\) | 39.8350 | 1.39280 | ||||||||
\(819\) | 57.6657 | − | 31.7020i | 2.01500 | − | 1.10776i | ||||
\(820\) | −11.2448 | + | 32.5055i | −0.392684 | + | 1.13514i | ||||
\(821\) | −42.6970 | + | 5.39389i | −1.49014 | + | 0.188248i | −0.827828 | − | 0.560983i | \(-0.810423\pi\) |
−0.662309 | + | 0.749231i | \(0.730423\pi\) | |||||||
\(822\) | 9.85018 | − | 51.6365i | 0.343565 | − | 1.80103i | ||||
\(823\) | 42.1924 | − | 16.7052i | 1.47074 | − | 0.582306i | 0.510100 | − | 0.860115i | \(-0.329608\pi\) |
0.960636 | + | 0.277810i | \(0.0896085\pi\) | |||||||
\(824\) | 0.521773 | + | 1.60585i | 0.0181768 | + | 0.0559426i | ||||
\(825\) | 11.0293 | + | 3.28052i | 0.383990 | + | 0.114213i | ||||
\(826\) | −12.9632 | + | 39.8965i | −0.451046 | + | 1.38818i | ||||
\(827\) | 3.16433 | + | 50.2956i | 0.110035 | + | 1.74895i | 0.536008 | + | 0.844213i | \(0.319932\pi\) |
−0.425973 | + | 0.904736i | \(0.640068\pi\) | |||||||
\(828\) | −31.2065 | + | 3.94230i | −1.08450 | + | 0.137004i | ||||
\(829\) | 37.5785 | − | 35.2886i | 1.30516 | − | 1.22562i | 0.347510 | − | 0.937676i | \(-0.387027\pi\) |
0.957646 | − | 0.287947i | \(-0.0929727\pi\) | |||||||
\(830\) | 19.9758 | + | 19.4815i | 0.693371 | + | 0.676213i | ||||
\(831\) | −9.07468 | − | 1.14640i | −0.314797 | − | 0.0397681i | ||||
\(832\) | 20.3256 | − | 62.5557i | 0.704663 | − | 2.16873i | ||||
\(833\) | −7.65657 | − | 7.18999i | −0.265284 | − | 0.249119i | ||||
\(834\) | 12.6926 | − | 3.25892i | 0.439510 | − | 0.112847i | ||||
\(835\) | 0.532693 | − | 2.53170i | 0.0184346 | − | 0.0876131i | ||||
\(836\) | −5.33026 | − | 6.44318i | −0.184351 | − | 0.222842i | ||||
\(837\) | −46.9416 | + | 12.0526i | −1.62254 | + | 0.416597i | ||||
\(838\) | −23.9952 | + | 29.0053i | −0.828901 | + | 1.00197i | ||||
\(839\) | −31.1684 | + | 12.3404i | −1.07605 | + | 0.426039i | −0.838256 | − | 0.545277i | \(-0.816425\pi\) |
−0.237795 | + | 0.971315i | \(0.576425\pi\) | |||||||
\(840\) | −30.4714 | + | 7.21311i | −1.05136 | + | 0.248876i | ||||
\(841\) | −5.31187 | − | 8.37016i | −0.183168 | − | 0.288626i | ||||
\(842\) | 3.28620 | + | 17.2269i | 0.113250 | + | 0.593677i | ||||
\(843\) | 13.5804 | + | 41.7963i | 0.467735 | + | 1.43954i | ||||
\(844\) | 17.7784 | − | 37.7809i | 0.611956 | − | 1.30047i | ||||
\(845\) | 11.8886 | + | 26.5551i | 0.408979 | + | 0.913524i | ||||
\(846\) | −58.9231 | − | 32.3932i | −2.02582 | − | 1.11370i | ||||
\(847\) | 21.2675 | + | 11.6919i | 0.730759 | + | 0.401738i | ||||
\(848\) | 0.108615 | + | 0.131292i | 0.00372984 | + | 0.00450860i | ||||
\(849\) | −30.1111 | − | 21.8770i | −1.03341 | − | 0.750817i | ||||
\(850\) | 75.8078 | − | 6.67972i | 2.60019 | − | 0.229113i | ||||
\(851\) | 7.39456 | − | 5.37246i | 0.253482 | − | 0.184166i | ||||
\(852\) | 72.4823 | + | 18.6103i | 2.48320 | + | 0.637578i | ||||
\(853\) | 21.3135 | + | 45.2936i | 0.729761 | + | 1.55082i | 0.831196 | + | 0.555980i | \(0.187657\pi\) |
−0.101434 | + | 0.994842i | \(0.532343\pi\) | |||||||
\(854\) | 14.3008 | − | 74.9672i | 0.489362 | − | 2.56532i | ||||
\(855\) | −43.1114 | − | 11.9414i | −1.47438 | − | 0.408388i | ||||
\(856\) | −20.2135 | − | 18.9818i | −0.690885 | − | 0.648784i | ||||
\(857\) | −39.7978 | − | 28.9148i | −1.35947 | − | 0.987711i | −0.998479 | − | 0.0551409i | \(-0.982439\pi\) |
−0.360989 | − | 0.932570i | \(-0.617561\pi\) | |||||||
\(858\) | −11.0902 | + | 23.5679i | −0.378614 | + | 0.804595i | ||||
\(859\) | 1.01747 | − | 1.22991i | 0.0347157 | − | 0.0419640i | −0.752870 | − | 0.658170i | \(-0.771331\pi\) |
0.787585 | + | 0.616206i | \(0.211331\pi\) | |||||||
\(860\) | −9.84838 | − | 12.3732i | −0.335827 | − | 0.421923i | ||||
\(861\) | −2.25390 | − | 35.8247i | −0.0768126 | − | 1.22090i | ||||
\(862\) | −0.916358 | + | 14.5651i | −0.0312113 | + | 0.496089i | ||||
\(863\) | −1.59943 | − | 0.633257i | −0.0544451 | − | 0.0215563i | 0.340744 | − | 0.940156i | \(-0.389321\pi\) |
−0.395189 | + | 0.918600i | \(0.629321\pi\) | |||||||
\(864\) | 27.4763 | − | 43.2958i | 0.934764 | − | 1.47295i | ||||
\(865\) | −40.9558 | + | 28.5901i | −1.39254 | + | 0.972091i | ||||
\(866\) | 1.13167 | − | 17.9874i | 0.0384557 | − | 0.611236i | ||||
\(867\) | −86.9814 | − | 10.9883i | −2.95404 | − | 0.373182i | ||||
\(868\) | −36.4980 | + | 26.5174i | −1.23882 | + | 0.900058i | ||||
\(869\) | 1.28140 | + | 6.71735i | 0.0434686 | + | 0.227871i | ||||
\(870\) | −61.5675 | + | 14.5741i | −2.08734 | + | 0.494109i | ||||
\(871\) | −0.285203 | − | 0.606088i | −0.00966375 | − | 0.0205365i | ||||
\(872\) | 16.3582 | − | 15.3614i | 0.553958 | − | 0.520201i | ||||
\(873\) | −26.1791 | + | 41.2517i | −0.886029 | + | 1.39616i | ||||
\(874\) | −15.6848 | −0.530547 | ||||||||
\(875\) | 20.0421 | − | 16.7895i | 0.677547 | − | 0.567590i | ||||
\(876\) | 15.9114 | 0.537597 | ||||||||
\(877\) | −4.32670 | + | 6.81778i | −0.146102 | + | 0.230220i | −0.909496 | − | 0.415714i | \(-0.863532\pi\) |
0.763393 | + | 0.645934i | \(0.223532\pi\) | |||||||
\(878\) | 10.1535 | − | 9.53476i | 0.342664 | − | 0.321783i | ||||
\(879\) | −2.38050 | − | 5.05881i | −0.0802921 | − | 0.170629i | ||||
\(880\) | −1.48941 | + | 1.73268i | −0.0502079 | + | 0.0584087i | ||||
\(881\) | 7.16346 | + | 37.5522i | 0.241343 | + | 1.26517i | 0.872155 | + | 0.489230i | \(0.162722\pi\) |
−0.630812 | + | 0.775936i | \(0.717278\pi\) | |||||||
\(882\) | −15.1695 | + | 11.0213i | −0.510785 | + | 0.371107i | ||||
\(883\) | 42.1434 | + | 5.32394i | 1.41824 | + | 0.179165i | 0.796773 | − | 0.604278i | \(-0.206538\pi\) |
0.621463 | + | 0.783443i | \(0.286538\pi\) | |||||||
\(884\) | −6.42370 | + | 102.102i | −0.216052 | + | 3.43405i | ||||
\(885\) | −42.0845 | − | 31.8077i | −1.41465 | − | 1.06920i | ||||
\(886\) | 5.71591 | − | 9.00684i | 0.192030 | − | 0.302591i | ||||
\(887\) | 39.7688 | + | 15.7456i | 1.33530 | + | 0.528684i | 0.923853 | − | 0.382747i | \(-0.125022\pi\) |
0.411451 | + | 0.911432i | \(0.365022\pi\) | |||||||
\(888\) | 1.76313 | − | 28.0241i | 0.0591667 | − | 0.940427i | ||||
\(889\) | 1.87536 | + | 29.8080i | 0.0628976 | + | 0.999729i | ||||
\(890\) | 24.7670 | − | 9.26877i | 0.830193 | − | 0.310690i | ||||
\(891\) | −2.45792 | + | 2.97111i | −0.0823433 | + | 0.0995360i | ||||
\(892\) | 6.70916 | − | 14.2577i | 0.224639 | − | 0.477383i | ||||
\(893\) | −16.1094 | − | 11.7042i | −0.539082 | − | 0.391666i | ||||
\(894\) | 14.9251 | + | 14.0156i | 0.499171 | + | 0.468753i | ||||
\(895\) | 19.9401 | + | 25.0522i | 0.666525 | + | 0.837403i | ||||
\(896\) | 6.42427 | − | 33.6772i | 0.214620 | − | 1.12508i | ||||
\(897\) | 12.3537 | + | 26.2529i | 0.412478 | + | 0.876560i | ||||
\(898\) | 68.2485 | + | 17.5232i | 2.27748 | + | 0.584758i | ||||
\(899\) | −23.3144 | + | 16.9389i | −0.777580 | + | 0.564945i | ||||
\(900\) | 8.10368 | − | 80.2746i | 0.270123 | − | 2.67582i | ||||
\(901\) | −0.729646 | − | 0.530119i | −0.0243080 | − | 0.0176608i | ||||
\(902\) | 5.86667 | + | 7.09159i | 0.195339 | + | 0.236124i | ||||
\(903\) | 14.4624 | + | 7.95076i | 0.481278 | + | 0.264585i | ||||
\(904\) | 15.4461 | + | 8.49156i | 0.513729 | + | 0.282425i | ||||
\(905\) | 17.4476 | + | 10.0256i | 0.579978 | + | 0.333263i | ||||
\(906\) | 59.1673 | − | 125.737i | 1.96570 | − | 4.17733i | ||||
\(907\) | 1.28222 | + | 3.94627i | 0.0425754 | + | 0.131034i | 0.970085 | − | 0.242766i | \(-0.0780547\pi\) |
−0.927509 | + | 0.373800i | \(0.878055\pi\) | |||||||
\(908\) | −5.49683 | − | 28.8154i | −0.182419 | − | 0.956273i | ||||
\(909\) | −17.5960 | − | 27.7269i | −0.583623 | − | 0.919642i | ||||
\(910\) | 30.7621 | + | 50.5595i | 1.01976 | + | 1.67603i | ||||
\(911\) | −38.5914 | + | 15.2794i | −1.27859 | + | 0.506230i | −0.906594 | − | 0.422003i | \(-0.861327\pi\) |
−0.371998 | + | 0.928234i | \(0.621327\pi\) | |||||||
\(912\) | 8.74067 | − | 10.5657i | 0.289433 | − | 0.349864i | ||||
\(913\) | 4.29479 | − | 1.10272i | 0.142137 | − | 0.0364946i | ||||
\(914\) | −40.2462 | − | 48.6493i | −1.33123 | − | 1.60918i | ||||
\(915\) | 83.2133 | + | 47.8154i | 2.75095 | + | 1.58073i | ||||
\(916\) | −53.5699 | + | 13.7544i | −1.77000 | + | 0.454458i | ||||
\(917\) | −17.5613 | − | 16.4912i | −0.579926 | − | 0.544587i | ||||
\(918\) | −34.5560 | + | 106.352i | −1.14052 | + | 3.51015i | ||||
\(919\) | −13.1329 | − | 1.65907i | −0.433214 | − | 0.0547276i | −0.0942972 | − | 0.995544i | \(-0.530060\pi\) |
−0.338916 | + | 0.940816i | \(0.610060\pi\) | |||||||
\(920\) | −1.50963 | − | 8.81526i | −0.0497712 | − | 0.290630i | ||||
\(921\) | 25.1834 | − | 23.6488i | 0.829822 | − | 0.779255i | ||||
\(922\) | −21.4003 | + | 2.70349i | −0.704782 | + | 0.0890347i | ||||
\(923\) | −2.80768 | − | 44.6268i | −0.0924159 | − | 1.46891i | ||||
\(924\) | −4.86380 | + | 14.9693i | −0.160007 | + | 0.492452i | ||||
\(925\) | 9.17410 | + | 21.5756i | 0.301643 | + | 0.709401i | ||||
\(926\) | 8.32408 | + | 25.6189i | 0.273546 | + | 0.841888i | ||||
\(927\) | 4.22148 | − | 1.67140i | 0.138651 | − | 0.0548960i | ||||
\(928\) | 5.71356 | − | 29.9515i | 0.187557 | − | 0.983207i | ||||
\(929\) | 51.3003 | − | 6.48073i | 1.68311 | − | 0.212626i | 0.775176 | − | 0.631745i | \(-0.217661\pi\) |
0.907931 | + | 0.419120i | \(0.137661\pi\) | |||||||
\(930\) | −27.7985 | − | 91.3937i | −0.911548 | − | 2.99692i | ||||
\(931\) | −4.86591 | + | 2.67506i | −0.159474 | + | 0.0876715i | ||||
\(932\) | −11.2841 | −0.369622 | ||||||||
\(933\) | 80.9048 | − | 44.4778i | 2.64871 | − | 1.45614i | ||||
\(934\) | 59.9892 | + | 23.7514i | 1.96291 | + | 0.777169i | ||||
\(935\) | 5.35492 | − | 10.8433i | 0.175124 | − | 0.354614i | ||||
\(936\) | 55.9259 | + | 14.3593i | 1.82800 | + | 0.469350i | ||||
\(937\) | −1.56335 | − | 2.46345i | −0.0510725 | − | 0.0804774i | 0.817832 | − | 0.575457i | \(-0.195176\pi\) |
−0.868905 | + | 0.494979i | \(0.835176\pi\) | |||||||
\(938\) | −0.365204 | − | 0.575469i | −0.0119243 | − | 0.0187897i | ||||
\(939\) | 79.5245 | + | 20.4184i | 2.59519 | + | 0.666330i | ||||
\(940\) | 15.9023 | − | 32.2010i | 0.518676 | − | 1.05028i | ||||
\(941\) | −1.02801 | − | 0.407019i | −0.0335123 | − | 0.0132684i | 0.351309 | − | 0.936260i | \(-0.385737\pi\) |
−0.384821 | + | 0.922991i | \(0.625737\pi\) | |||||||
\(942\) | −17.7549 | + | 9.76082i | −0.578485 | + | 0.318025i | ||||
\(943\) | 10.2523 | 0.333860 | ||||||||
\(944\) | 9.17913 | − | 5.04627i | 0.298755 | − | 0.164242i | ||||
\(945\) | 11.1798 | + | 36.7559i | 0.363678 | + | 1.19567i | ||||
\(946\) | −4.19826 | + | 0.530363i | −0.136497 | + | 0.0172436i | ||||
\(947\) | 3.85808 | − | 20.2247i | 0.125371 | − | 0.657216i | −0.863006 | − | 0.505193i | \(-0.831421\pi\) |
0.988377 | − | 0.152023i | \(-0.0485787\pi\) | |||||||
\(948\) | 68.8230 | − | 27.2490i | 2.23527 | − | 0.885005i | ||||
\(949\) | −2.93798 | − | 9.04219i | −0.0953710 | − | 0.293522i | ||||
\(950\) | 9.02600 | − | 39.2069i | 0.292842 | − | 1.27204i | ||||
\(951\) | 6.36365 | − | 19.5853i | 0.206355 | − | 0.635096i | ||||
\(952\) | 2.06644 | + | 32.8451i | 0.0669736 | + | 1.06451i | ||||
\(953\) | 5.31048 | − | 0.670869i | 0.172023 | − | 0.0217316i | −0.0388498 | − | 0.999245i | \(-0.512369\pi\) |
0.210873 | + | 0.977513i | \(0.432369\pi\) | |||||||
\(954\) | −1.17369 | + | 1.10217i | −0.0379995 | + | 0.0356839i | ||||
\(955\) | −3.37936 | − | 19.7332i | −0.109354 | − | 0.638552i | ||||
\(956\) | 81.0465 | + | 10.2386i | 2.62123 | + | 0.331138i | ||||
\(957\) | −3.10693 | + | 9.56216i | −0.100433 | + | 0.309101i | ||||
\(958\) | 41.6028 | + | 39.0677i | 1.34413 | + | 1.26222i | ||||
\(959\) | −18.3845 | + | 4.72033i | −0.593666 | + | 0.152427i | ||||
\(960\) | 72.9729 | + | 41.9312i | 2.35519 | + | 1.35332i | ||||
\(961\) | −7.97525 | − | 9.64042i | −0.257266 | − | 0.310981i | ||||
\(962\) | −51.4030 | + | 13.1980i | −1.65730 | + | 0.425522i | ||||
\(963\) | −47.5279 | + | 57.4513i | −1.53156 | + | 1.85134i | ||||
\(964\) | −29.4216 | + | 11.6488i | −0.947606 | + | 0.375184i | ||||
\(965\) | 18.7544 | + | 30.8241i | 0.603727 | + | 0.992263i | ||||
\(966\) | 15.8190 | + | 24.9267i | 0.508967 | + | 0.802003i | ||||
\(967\) | 6.37641 | + | 33.4263i | 0.205052 | + | 1.07492i | 0.924734 | + | 0.380615i | \(0.124288\pi\) |
−0.719682 | + | 0.694304i | \(0.755712\pi\) | |||||||
\(968\) | 6.58047 | + | 20.2526i | 0.211504 | + | 0.650943i | ||||
\(969\) | −30.9027 | + | 65.6715i | −0.992736 | + | 2.10967i | ||||
\(970\) | −38.0985 | − | 21.8919i | −1.22327 | − | 0.702906i | ||||
\(971\) | 3.59536 | + | 1.97657i | 0.115381 | + | 0.0634311i | 0.538399 | − | 0.842690i | \(-0.319029\pi\) |
−0.423018 | + | 0.906121i | \(0.639029\pi\) | |||||||
\(972\) | −19.9137 | − | 10.9477i | −0.638734 | − | 0.351147i | ||||
\(973\) | −3.01606 | − | 3.64579i | −0.0966905 | − | 0.116879i | ||||
\(974\) | −3.84886 | − | 2.79636i | −0.123325 | − | 0.0896012i | ||||
\(975\) | −72.7327 | + | 15.7726i | −2.32931 | + | 0.505128i | ||||
\(976\) | −15.4173 | + | 11.2013i | −0.493495 | + | 0.358545i | ||||
\(977\) | −41.1676 | − | 10.5701i | −1.31707 | − | 0.338166i | −0.476168 | − | 0.879354i | \(-0.657975\pi\) |
−0.840901 | + | 0.541188i | \(0.817975\pi\) | |||||||
\(978\) | 38.9505 | + | 82.7741i | 1.24550 | + | 2.64682i | ||||
\(979\) | 0.787447 | − | 4.12794i | 0.0251669 | − | 0.131930i | ||||
\(980\) | −6.23682 | − | 7.83576i | −0.199228 | − | 0.250304i | ||||
\(981\) | −43.9867 | − | 41.3063i | −1.40439 | − | 1.31881i | ||||
\(982\) | −38.4132 | − | 27.9088i | −1.22581 | − | 0.890607i | ||||
\(983\) | −13.6573 | + | 29.0232i | −0.435600 | + | 0.925697i | 0.559685 | + | 0.828705i | \(0.310922\pi\) |
−0.995285 | + | 0.0969918i | \(0.969078\pi\) | |||||||
\(984\) | 20.0763 | − | 24.2681i | 0.640009 | − | 0.773638i | ||||
\(985\) | −28.0499 | + | 10.4973i | −0.893743 | + | 0.334473i | ||||
\(986\) | 4.17524 | + | 66.3636i | 0.132967 | + | 2.11345i | ||||
\(987\) | −2.35337 | + | 37.4058i | −0.0749087 | + | 1.19064i | ||||
\(988\) | 50.2866 | + | 19.9099i | 1.59983 | + | 0.633417i | ||||
\(989\) | −2.52574 | + | 3.97993i | −0.0803138 | + | 0.126554i | ||||
\(990\) | −17.2234 | − | 13.0176i | −0.547396 | − | 0.413726i | ||||
\(991\) | 1.58530 | − | 25.1976i | 0.0503586 | − | 0.800427i | −0.889089 | − | 0.457734i | \(-0.848661\pi\) |
0.939448 | − | 0.342693i | \(-0.111339\pi\) | |||||||
\(992\) | 45.6753 | + | 5.77013i | 1.45019 | + | 0.183202i | ||||
\(993\) | 18.6248 | − | 13.5317i | 0.591039 | − | 0.429415i | ||||
\(994\) | −8.52551 | − | 44.6923i | −0.270413 | − | 1.41755i | ||||
\(995\) | 18.8436 | − | 21.9214i | 0.597381 | − | 0.694955i | ||||
\(996\) | −20.4355 | − | 43.4277i | −0.647524 | − | 1.37606i | ||||
\(997\) | 12.0296 | − | 11.2965i | 0.380980 | − | 0.357764i | −0.470272 | − | 0.882522i | \(-0.655844\pi\) |
0.851252 | + | 0.524758i | \(0.175844\pi\) | |||||||
\(998\) | −0.804956 | + | 1.26841i | −0.0254804 | + | 0.0401507i | ||||
\(999\) | −34.4508 | −1.08997 |
(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 | 125.2.g.a.106.3 | yes | 220 | |
5.2 | odd | 4 | 625.2.h.b.474.4 | 440 | |||
5.3 | odd | 4 | 625.2.h.b.474.19 | 440 | |||
5.4 | even | 2 | 625.2.g.a.151.9 | 220 | |||
125.3 | odd | 100 | 625.2.h.b.149.4 | 440 | |||
125.46 | even | 25 | inner | 125.2.g.a.46.3 | ✓ | 220 | |
125.79 | even | 50 | 625.2.g.a.476.9 | 220 | |||
125.122 | odd | 100 | 625.2.h.b.149.19 | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
125.2.g.a.46.3 | ✓ | 220 | 125.46 | even | 25 | inner | |
125.2.g.a.106.3 | yes | 220 | 1.1 | even | 1 | trivial | |
625.2.g.a.151.9 | 220 | 5.4 | even | 2 | |||
625.2.g.a.476.9 | 220 | 125.79 | even | 50 | |||
625.2.h.b.149.4 | 440 | 125.3 | odd | 100 | |||
625.2.h.b.149.19 | 440 | 125.122 | odd | 100 | |||
625.2.h.b.474.4 | 440 | 5.2 | odd | 4 | |||
625.2.h.b.474.19 | 440 | 5.3 | odd | 4 |