Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 403.1 | ||
Character | \(\chi\) | \(=\) | 605.403 |
Dual form | 605.2.m.d.602.1 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.229326 | − | 1.44791i | −0.162158 | − | 1.02382i | −0.925753 | − | 0.378129i | \(-0.876568\pi\) |
0.763595 | − | 0.645695i | \(-0.223432\pi\) | |||||||
\(3\) | 0.741739 | − | 0.377935i | 0.428243 | − | 0.218201i | −0.226565 | − | 0.973996i | \(-0.572750\pi\) |
0.654808 | + | 0.755795i | \(0.272750\pi\) | |||||||
\(4\) | −0.141727 | + | 0.0460500i | −0.0708637 | + | 0.0230250i | ||||
\(5\) | 2.04303 | − | 0.908872i | 0.913669 | − | 0.406460i | ||||
\(6\) | −0.717314 | − | 0.987298i | −0.292842 | − | 0.403063i | ||||
\(7\) | 1.91372 | − | 3.75588i | 0.723318 | − | 1.41959i | −0.176935 | − | 0.984223i | \(-0.556618\pi\) |
0.900253 | − | 0.435368i | \(-0.143382\pi\) | |||||||
\(8\) | −1.23188 | − | 2.41770i | −0.435536 | − | 0.854787i | ||||
\(9\) | −1.35601 | + | 1.86639i | −0.452005 | + | 0.622131i | ||||
\(10\) | −1.78448 | − | 2.74968i | −0.564302 | − | 0.869525i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.0877208 | + | 0.0877208i | −0.0253228 | + | 0.0253228i | ||||
\(13\) | −0.914284 | + | 0.144808i | −0.253577 | + | 0.0401626i | −0.281929 | − | 0.959435i | \(-0.590974\pi\) |
0.0283519 | + | 0.999598i | \(0.490974\pi\) | |||||||
\(14\) | −5.87703 | − | 1.90956i | −1.57070 | − | 0.510352i | ||||
\(15\) | 1.17190 | − | 1.44628i | 0.302582 | − | 0.373427i | ||||
\(16\) | −3.45922 | + | 2.51327i | −0.864806 | + | 0.628318i | ||||
\(17\) | 1.90403 | + | 0.301569i | 0.461796 | + | 0.0731413i | 0.382998 | − | 0.923749i | \(-0.374892\pi\) |
0.0787982 | + | 0.996891i | \(0.474892\pi\) | |||||||
\(18\) | 3.01333 | + | 1.53537i | 0.710249 | + | 0.361890i | ||||
\(19\) | −1.67851 | + | 5.16591i | −0.385076 | + | 1.18514i | 0.551350 | + | 0.834274i | \(0.314113\pi\) |
−0.936425 | + | 0.350867i | \(0.885887\pi\) | |||||||
\(20\) | −0.247699 | + | 0.222893i | −0.0553872 | + | 0.0498405i | ||||
\(21\) | − | 3.50915i | − | 0.765758i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.95998 | + | 1.95998i | 0.408685 | + | 0.408685i | 0.881280 | − | 0.472595i | \(-0.156683\pi\) |
−0.472595 | + | 0.881280i | \(0.656683\pi\) | |||||||
\(24\) | −1.82747 | − | 1.32773i | −0.373030 | − | 0.271022i | ||||
\(25\) | 3.34790 | − | 3.71370i | 0.669581 | − | 0.742739i | ||||
\(26\) | 0.419337 | + | 1.29059i | 0.0822388 | + | 0.253105i | ||||
\(27\) | −0.691116 | + | 4.36353i | −0.133005 | + | 0.839762i | ||||
\(28\) | −0.0982678 | + | 0.620439i | −0.0185709 | + | 0.117252i | ||||
\(29\) | 0.309582 | + | 0.952796i | 0.0574880 | + | 0.176930i | 0.975677 | − | 0.219212i | \(-0.0703488\pi\) |
−0.918189 | + | 0.396142i | \(0.870349\pi\) | |||||||
\(30\) | −2.36282 | − | 1.36513i | −0.431389 | − | 0.249237i | ||||
\(31\) | −0.342979 | − | 0.249189i | −0.0616008 | − | 0.0447556i | 0.556559 | − | 0.830808i | \(-0.312121\pi\) |
−0.618160 | + | 0.786053i | \(0.712121\pi\) | |||||||
\(32\) | 0.594873 | + | 0.594873i | 0.105160 | + | 0.105160i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 2.82602i | − | 0.484658i | ||||||
\(35\) | 0.496157 | − | 9.41269i | 0.0838658 | − | 1.59104i | ||||
\(36\) | 0.106237 | − | 0.326964i | 0.0177061 | − | 0.0544939i | ||||
\(37\) | 4.39533 | + | 2.23953i | 0.722588 | + | 0.368177i | 0.776287 | − | 0.630380i | \(-0.217101\pi\) |
−0.0536986 | + | 0.998557i | \(0.517101\pi\) | |||||||
\(38\) | 7.86468 | + | 1.24564i | 1.27582 | + | 0.202070i | ||||
\(39\) | −0.623432 | + | 0.452950i | −0.0998290 | + | 0.0725300i | ||||
\(40\) | −4.71414 | − | 3.81980i | −0.745372 | − | 0.603964i | ||||
\(41\) | −0.549205 | − | 0.178448i | −0.0857715 | − | 0.0278688i | 0.265817 | − | 0.964024i | \(-0.414358\pi\) |
−0.351588 | + | 0.936155i | \(0.614358\pi\) | |||||||
\(42\) | −5.08091 | + | 0.804737i | −0.784002 | + | 0.124174i | ||||
\(43\) | −5.05373 | + | 5.05373i | −0.770687 | + | 0.770687i | −0.978227 | − | 0.207540i | \(-0.933454\pi\) |
0.207540 | + | 0.978227i | \(0.433454\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.07406 | + | 5.04553i | −0.160111 | + | 0.752143i | ||||
\(46\) | 2.38840 | − | 3.28735i | 0.352150 | − | 0.484693i | ||||
\(47\) | −0.540066 | − | 1.05994i | −0.0787767 | − | 0.154608i | 0.848258 | − | 0.529583i | \(-0.177651\pi\) |
−0.927035 | + | 0.374975i | \(0.877651\pi\) | |||||||
\(48\) | −1.61599 | + | 3.17155i | −0.233248 | + | 0.457774i | ||||
\(49\) | −6.32985 | − | 8.71229i | −0.904264 | − | 1.24461i | ||||
\(50\) | −6.14484 | − | 3.99580i | −0.869012 | − | 0.565092i | ||||
\(51\) | 1.52627 | − | 0.495915i | 0.213720 | − | 0.0694420i | ||||
\(52\) | 0.122911 | − | 0.0626261i | 0.0170446 | − | 0.00868468i | ||||
\(53\) | −1.42067 | − | 8.96976i | −0.195144 | − | 1.23209i | −0.869593 | − | 0.493769i | \(-0.835619\pi\) |
0.674449 | − | 0.738321i | \(-0.264381\pi\) | |||||||
\(54\) | 6.47647 | 0.881337 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −11.4381 | −1.52848 | ||||||||
\(57\) | 0.707364 | + | 4.46612i | 0.0936927 | + | 0.591553i | ||||
\(58\) | 1.30856 | − | 0.666746i | 0.171823 | − | 0.0875481i | ||||
\(59\) | 8.85410 | − | 2.87687i | 1.15271 | − | 0.374537i | 0.330544 | − | 0.943791i | \(-0.392768\pi\) |
0.822162 | + | 0.569254i | \(0.192768\pi\) | |||||||
\(60\) | −0.0994889 | + | 0.258943i | −0.0128440 | + | 0.0334294i | ||||
\(61\) | 4.57402 | + | 6.29560i | 0.585644 | + | 0.806069i | 0.994300 | − | 0.106619i | \(-0.0340025\pi\) |
−0.408656 | + | 0.912688i | \(0.634002\pi\) | |||||||
\(62\) | −0.282148 | + | 0.553746i | −0.0358328 | + | 0.0703258i | ||||
\(63\) | 4.41493 | + | 8.66478i | 0.556228 | + | 1.09166i | ||||
\(64\) | −4.30165 | + | 5.92071i | −0.537706 | + | 0.740088i | ||||
\(65\) | −1.73629 | + | 1.12681i | −0.215361 | + | 0.139764i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.05526 | + | 3.05526i | −0.373259 | + | 0.373259i | −0.868663 | − | 0.495404i | \(-0.835020\pi\) |
0.495404 | + | 0.868663i | \(0.335020\pi\) | |||||||
\(68\) | −0.283741 | + | 0.0449401i | −0.0344086 | + | 0.00544979i | ||||
\(69\) | 2.19454 | + | 0.713050i | 0.264192 | + | 0.0858412i | ||||
\(70\) | −13.7425 | + | 1.44018i | −1.64254 | + | 0.172135i | ||||
\(71\) | −6.95054 | + | 5.04987i | −0.824878 | + | 0.599309i | −0.918106 | − | 0.396336i | \(-0.870282\pi\) |
0.0932277 | + | 0.995645i | \(0.470282\pi\) | |||||||
\(72\) | 6.18283 | + | 0.979264i | 0.728653 | + | 0.115407i | ||||
\(73\) | −4.86525 | − | 2.47897i | −0.569435 | − | 0.290142i | 0.145471 | − | 0.989363i | \(-0.453530\pi\) |
−0.714906 | + | 0.699221i | \(0.753530\pi\) | |||||||
\(74\) | 2.23467 | − | 6.87761i | 0.259775 | − | 0.799506i | ||||
\(75\) | 1.07973 | − | 4.01988i | 0.124677 | − | 0.464176i | ||||
\(76\) | − | 0.809447i | − | 0.0928499i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0.798797 | + | 0.798797i | 0.0904460 | + | 0.0904460i | ||||
\(79\) | −1.84797 | − | 1.34263i | −0.207913 | − | 0.151057i | 0.478956 | − | 0.877839i | \(-0.341015\pi\) |
−0.686869 | + | 0.726781i | \(0.741015\pi\) | |||||||
\(80\) | −4.78304 | + | 8.27867i | −0.534760 | + | 0.925583i | ||||
\(81\) | −1.00219 | − | 3.08443i | −0.111355 | − | 0.342715i | ||||
\(82\) | −0.132428 | + | 0.836120i | −0.0146243 | + | 0.0923340i | ||||
\(83\) | −0.311099 | + | 1.96420i | −0.0341476 | + | 0.215599i | −0.998862 | − | 0.0477002i | \(-0.984811\pi\) |
0.964714 | + | 0.263300i | \(0.0848108\pi\) | |||||||
\(84\) | 0.161596 | + | 0.497342i | 0.0176316 | + | 0.0542645i | ||||
\(85\) | 4.16407 | − | 1.11441i | 0.451657 | − | 0.120875i | ||||
\(86\) | 8.47628 | + | 6.15838i | 0.914020 | + | 0.664075i | ||||
\(87\) | 0.589724 | + | 0.589724i | 0.0632250 | + | 0.0632250i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 13.9313i | − | 1.47671i | −0.674410 | − | 0.738357i | \(-0.735602\pi\) | ||
0.674410 | − | 0.738357i | \(-0.264398\pi\) | |||||||
\(90\) | 7.55176 | + | 0.398065i | 0.796026 | + | 0.0419597i | ||||
\(91\) | −1.20580 | + | 3.71107i | −0.126402 | + | 0.389025i | ||||
\(92\) | −0.368041 | − | 0.187526i | −0.0383709 | − | 0.0195510i | ||||
\(93\) | −0.348578 | − | 0.0552093i | −0.0361458 | − | 0.00572494i | ||||
\(94\) | −1.41084 | + | 1.02504i | −0.145517 | + | 0.105724i | ||||
\(95\) | 1.26592 | + | 12.0796i | 0.129881 | + | 1.23934i | ||||
\(96\) | 0.666063 | + | 0.216417i | 0.0679798 | + | 0.0220880i | ||||
\(97\) | 3.28341 | − | 0.520041i | 0.333379 | − | 0.0528021i | 0.0124992 | − | 0.999922i | \(-0.496021\pi\) |
0.320880 | + | 0.947120i | \(0.396021\pi\) | |||||||
\(98\) | −11.1630 | + | 11.1630i | −1.12763 | + | 1.12763i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.303474 | + | 0.680504i | −0.0303474 | + | 0.0680504i | ||||
\(101\) | −7.81220 | + | 10.7526i | −0.777343 | + | 1.06992i | 0.218227 | + | 0.975898i | \(0.429973\pi\) |
−0.995570 | + | 0.0940226i | \(0.970027\pi\) | |||||||
\(102\) | −1.06805 | − | 2.09617i | −0.105753 | − | 0.207551i | ||||
\(103\) | −4.57730 | + | 8.98346i | −0.451015 | + | 0.885167i | 0.547805 | + | 0.836606i | \(0.315464\pi\) |
−0.998820 | + | 0.0485610i | \(0.984536\pi\) | |||||||
\(104\) | 1.47639 | + | 2.03208i | 0.144772 | + | 0.199262i | ||||
\(105\) | −3.18936 | − | 7.16927i | −0.311250 | − | 0.699649i | ||||
\(106\) | −12.6616 | + | 4.11399i | −1.22980 | + | 0.399586i | ||||
\(107\) | 5.49455 | − | 2.79962i | 0.531179 | − | 0.270649i | −0.167763 | − | 0.985827i | \(-0.553654\pi\) |
0.698942 | + | 0.715178i | \(0.253654\pi\) | |||||||
\(108\) | −0.102991 | − | 0.650258i | −0.00991029 | − | 0.0625711i | ||||
\(109\) | 19.9193 | 1.90793 | 0.953964 | − | 0.299922i | \(-0.0969607\pi\) | ||||
0.953964 | + | 0.299922i | \(0.0969607\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.10659 | 0.389780 | ||||||||
\(112\) | 2.81958 | + | 17.8021i | 0.266425 | + | 1.68214i | ||||
\(113\) | 10.8009 | − | 5.50334i | 1.01607 | − | 0.517711i | 0.135070 | − | 0.990836i | \(-0.456874\pi\) |
0.880995 | + | 0.473125i | \(0.156874\pi\) | |||||||
\(114\) | 6.30431 | − | 2.04839i | 0.590453 | − | 0.191850i | ||||
\(115\) | 5.78567 | + | 2.22292i | 0.539517 | + | 0.207289i | ||||
\(116\) | −0.0877525 | − | 0.120781i | −0.00814762 | − | 0.0112142i | ||||
\(117\) | 0.969512 | − | 1.90277i | 0.0896314 | − | 0.175912i | ||||
\(118\) | −6.19591 | − | 12.1602i | −0.570380 | − | 1.11943i | ||||
\(119\) | 4.77644 | − | 6.57421i | 0.437856 | − | 0.602657i | ||||
\(120\) | −4.94030 | − | 1.05166i | −0.450986 | − | 0.0960028i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 8.06650 | − | 8.06650i | 0.730306 | − | 0.730306i | ||||
\(123\) | −0.474809 | + | 0.0752023i | −0.0428120 | + | 0.00678076i | ||||
\(124\) | 0.0600846 | + | 0.0195227i | 0.00539576 | + | 0.00175319i | ||||
\(125\) | 3.46458 | − | 10.6300i | 0.309881 | − | 0.950775i | ||||
\(126\) | 11.5333 | − | 8.37945i | 1.02747 | − | 0.746501i | ||||
\(127\) | −1.14526 | − | 0.181391i | −0.101625 | − | 0.0160958i | 0.105415 | − | 0.994428i | \(-0.466383\pi\) |
−0.207040 | + | 0.978333i | \(0.566383\pi\) | |||||||
\(128\) | 11.0583 | + | 5.63447i | 0.977422 | + | 0.498021i | ||||
\(129\) | −1.83857 | + | 5.65853i | −0.161877 | + | 0.498206i | ||||
\(130\) | 2.02970 | + | 2.25558i | 0.178016 | + | 0.197827i | ||||
\(131\) | − | 14.4532i | − | 1.26278i | −0.775465 | − | 0.631390i | \(-0.782485\pi\) | ||
0.775465 | − | 0.631390i | \(-0.217515\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.1904 | + | 16.1904i | 1.40388 | + | 1.40388i | ||||
\(134\) | 5.12438 | + | 3.72308i | 0.442679 | + | 0.321625i | ||||
\(135\) | 2.55393 | + | 9.54294i | 0.219807 | + | 0.821326i | ||||
\(136\) | −1.61644 | − | 4.97488i | −0.138608 | − | 0.426592i | ||||
\(137\) | 1.93536 | − | 12.2194i | 0.165349 | − | 1.04397i | −0.755812 | − | 0.654789i | \(-0.772758\pi\) |
0.921161 | − | 0.389182i | \(-0.127242\pi\) | |||||||
\(138\) | 0.529164 | − | 3.34101i | 0.0450455 | − | 0.284406i | ||||
\(139\) | −0.311916 | − | 0.959978i | −0.0264563 | − | 0.0814242i | 0.936957 | − | 0.349446i | \(-0.113630\pi\) |
−0.963413 | + | 0.268022i | \(0.913630\pi\) | |||||||
\(140\) | 0.363136 | + | 1.35688i | 0.0306906 | + | 0.114678i | ||||
\(141\) | −0.801176 | − | 0.582089i | −0.0674712 | − | 0.0490207i | ||||
\(142\) | 8.90567 | + | 8.90567i | 0.747347 | + | 0.747347i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 9.86430i | − | 0.822025i | ||||||
\(145\) | 1.49845 | + | 1.66522i | 0.124440 | + | 0.138289i | ||||
\(146\) | −2.47359 | + | 7.61292i | −0.204716 | + | 0.630050i | ||||
\(147\) | −7.98777 | − | 4.06997i | −0.658820 | − | 0.335686i | ||||
\(148\) | −0.726069 | − | 0.114998i | −0.0596825 | − | 0.00945279i | ||||
\(149\) | 0.987462 | − | 0.717433i | 0.0808961 | − | 0.0587744i | −0.546602 | − | 0.837392i | \(-0.684079\pi\) |
0.627498 | + | 0.778618i | \(0.284079\pi\) | |||||||
\(150\) | −6.06802 | − | 0.641491i | −0.495452 | − | 0.0523776i | ||||
\(151\) | −1.50909 | − | 0.490333i | −0.122808 | − | 0.0399027i | 0.246968 | − | 0.969024i | \(-0.420566\pi\) |
−0.369776 | + | 0.929121i | \(0.620566\pi\) | |||||||
\(152\) | 14.5574 | − | 2.30566i | 1.18076 | − | 0.187014i | ||||
\(153\) | −3.14474 | + | 3.14474i | −0.254237 | + | 0.254237i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.927195 | − | 0.197375i | −0.0744741 | − | 0.0158535i | ||||
\(156\) | 0.0674990 | − | 0.0929044i | 0.00540425 | − | 0.00743831i | ||||
\(157\) | 3.36823 | + | 6.61053i | 0.268814 | + | 0.527578i | 0.985470 | − | 0.169849i | \(-0.0543281\pi\) |
−0.716656 | + | 0.697427i | \(0.754328\pi\) | |||||||
\(158\) | −1.52021 | + | 2.98358i | −0.120942 | + | 0.237361i | ||||
\(159\) | −4.44375 | − | 6.11630i | −0.352412 | − | 0.485054i | ||||
\(160\) | 1.75600 | + | 0.674677i | 0.138824 | + | 0.0533379i | ||||
\(161\) | 11.1123 | − | 3.61062i | 0.875775 | − | 0.284556i | ||||
\(162\) | −4.23614 | + | 2.15842i | −0.332822 | + | 0.169581i | ||||
\(163\) | 2.41047 | + | 15.2191i | 0.188803 | + | 1.19205i | 0.881980 | + | 0.471287i | \(0.156210\pi\) |
−0.693177 | + | 0.720767i | \(0.743790\pi\) | |||||||
\(164\) | 0.0860550 | 0.00671976 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.91533 | 0.226273 | ||||||||
\(167\) | 0.649228 | + | 4.09907i | 0.0502388 | + | 0.317195i | 0.999991 | + | 0.00419313i | \(0.00133472\pi\) |
−0.949752 | + | 0.313002i | \(0.898665\pi\) | |||||||
\(168\) | −8.48407 | + | 4.32285i | −0.654560 | + | 0.333515i | ||||
\(169\) | −11.5488 | + | 3.75243i | −0.888368 | + | 0.288648i | ||||
\(170\) | −2.56849 | − | 5.77362i | −0.196994 | − | 0.442817i | ||||
\(171\) | −7.36554 | − | 10.1378i | −0.563257 | − | 0.775257i | ||||
\(172\) | 0.483528 | − | 0.948977i | 0.0368687 | − | 0.0723588i | ||||
\(173\) | 1.96566 | + | 3.85782i | 0.149446 | + | 0.293305i | 0.953578 | − | 0.301146i | \(-0.0973693\pi\) |
−0.804132 | + | 0.594451i | \(0.797369\pi\) | |||||||
\(174\) | 0.718626 | − | 0.989103i | 0.0544789 | − | 0.0749837i | ||||
\(175\) | −7.54127 | − | 19.6813i | −0.570066 | − | 1.48777i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.48016 | − | 5.48016i | 0.411914 | − | 0.411914i | ||||
\(178\) | −20.1712 | + | 3.19480i | −1.51190 | + | 0.239461i | ||||
\(179\) | −3.53755 | − | 1.14942i | −0.264409 | − | 0.0859116i | 0.173812 | − | 0.984779i | \(-0.444391\pi\) |
−0.438221 | + | 0.898867i | \(0.644391\pi\) | |||||||
\(180\) | −0.0801234 | − | 0.764550i | −0.00597204 | − | 0.0569862i | ||||
\(181\) | −4.89177 | + | 3.55408i | −0.363603 | + | 0.264173i | −0.754553 | − | 0.656239i | \(-0.772146\pi\) |
0.390951 | + | 0.920412i | \(0.372146\pi\) | |||||||
\(182\) | 5.64979 | + | 0.894839i | 0.418791 | + | 0.0663299i | ||||
\(183\) | 5.77206 | + | 2.94101i | 0.426683 | + | 0.217406i | ||||
\(184\) | 2.32419 | − | 7.15313i | 0.171342 | − | 0.527335i | ||||
\(185\) | 11.0152 | + | 0.580629i | 0.809855 | + | 0.0426887i | ||||
\(186\) | 0.517369i | 0.0379353i | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0.125352 | + | 0.125352i | 0.00914227 | + | 0.00914227i | ||||
\(189\) | 15.0663 | + | 10.9463i | 1.09591 | + | 0.796228i | ||||
\(190\) | 17.1999 | − | 4.60311i | 1.24781 | − | 0.333944i | ||||
\(191\) | −5.11566 | − | 15.7444i | −0.370156 | − | 1.13922i | −0.946689 | − | 0.322150i | \(-0.895595\pi\) |
0.576532 | − | 0.817074i | \(-0.304405\pi\) | |||||||
\(192\) | −0.953056 | + | 6.01736i | −0.0687809 | + | 0.434266i | ||||
\(193\) | −2.65377 | + | 16.7553i | −0.191023 | + | 1.20607i | 0.686714 | + | 0.726928i | \(0.259052\pi\) |
−0.877737 | + | 0.479143i | \(0.840948\pi\) | |||||||
\(194\) | −1.50594 | − | 4.63481i | −0.108120 | − | 0.332760i | ||||
\(195\) | −0.862013 | + | 1.49201i | −0.0617300 | + | 0.106845i | ||||
\(196\) | 1.29831 | + | 0.943281i | 0.0927367 | + | 0.0673772i | ||||
\(197\) | 9.63624 | + | 9.63624i | 0.686554 | + | 0.686554i | 0.961469 | − | 0.274915i | \(-0.0886496\pi\) |
−0.274915 | + | 0.961469i | \(0.588650\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.4166i | 1.37640i | 0.725519 | + | 0.688202i | \(0.241600\pi\) | ||||
−0.725519 | + | 0.688202i | \(0.758400\pi\) | |||||||
\(200\) | −13.1028 | − | 3.51940i | −0.926510 | − | 0.248859i | ||||
\(201\) | −1.11152 | + | 3.42089i | −0.0784003 | + | 0.241291i | ||||
\(202\) | 17.3602 | + | 8.84549i | 1.22146 | + | 0.622366i | ||||
\(203\) | 4.17104 | + | 0.660628i | 0.292750 | + | 0.0463670i | ||||
\(204\) | −0.193477 | + | 0.140569i | −0.0135461 | + | 0.00984183i | ||||
\(205\) | −1.28423 | + | 0.134584i | −0.0896943 | + | 0.00939978i | ||||
\(206\) | 14.0569 | + | 4.56736i | 0.979391 | + | 0.318223i | ||||
\(207\) | −6.31587 | + | 1.00034i | −0.438983 | + | 0.0695281i | ||||
\(208\) | 2.79877 | − | 2.79877i | 0.194060 | − | 0.194060i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −9.64903 | + | 6.26200i | −0.665846 | + | 0.432119i | ||||
\(211\) | 3.75651 | − | 5.17039i | 0.258608 | − | 0.355944i | −0.659894 | − | 0.751358i | \(-0.729399\pi\) |
0.918503 | + | 0.395414i | \(0.129399\pi\) | |||||||
\(212\) | 0.614405 | + | 1.20584i | 0.0421975 | + | 0.0828173i | ||||
\(213\) | −3.24697 | + | 6.37254i | −0.222479 | + | 0.436639i | ||||
\(214\) | −5.31362 | − | 7.31357i | −0.363232 | − | 0.499946i | ||||
\(215\) | −5.73171 | + | 14.9181i | −0.390899 | + | 1.01741i | ||||
\(216\) | 11.4011 | − | 3.70444i | 0.775746 | − | 0.252055i | ||||
\(217\) | −1.59229 | + | 0.811311i | −0.108092 | + | 0.0550754i | ||||
\(218\) | −4.56802 | − | 28.8413i | −0.309385 | − | 1.95338i | ||||
\(219\) | −4.54564 | −0.307166 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.78450 | −0.120038 | ||||||||
\(222\) | −0.941746 | − | 5.94595i | −0.0632058 | − | 0.399066i | ||||
\(223\) | 12.6478 | − | 6.44437i | 0.846958 | − | 0.431547i | 0.0240429 | − | 0.999711i | \(-0.492346\pi\) |
0.822915 | + | 0.568164i | \(0.192346\pi\) | |||||||
\(224\) | 3.37269 | − | 1.09585i | 0.225347 | − | 0.0732198i | ||||
\(225\) | 2.39141 | + | 11.2843i | 0.159428 | + | 0.752289i | ||||
\(226\) | −10.4453 | − | 14.3767i | −0.694808 | − | 0.956321i | ||||
\(227\) | −3.75819 | + | 7.37587i | −0.249440 | + | 0.489554i | −0.981445 | − | 0.191746i | \(-0.938585\pi\) |
0.732004 | + | 0.681300i | \(0.238585\pi\) | |||||||
\(228\) | −0.305918 | − | 0.600398i | −0.0202599 | − | 0.0397623i | ||||
\(229\) | −11.5202 | + | 15.8563i | −0.761279 | + | 1.04781i | 0.235828 | + | 0.971795i | \(0.424220\pi\) |
−0.997107 | + | 0.0760158i | \(0.975780\pi\) | |||||||
\(230\) | 1.89178 | − | 8.88688i | 0.124740 | − | 0.585984i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.92221 | − | 1.92221i | 0.126199 | − | 0.126199i | ||||
\(233\) | 3.66743 | − | 0.580864i | 0.240261 | − | 0.0380536i | −0.0351424 | − | 0.999382i | \(-0.511188\pi\) |
0.275404 | + | 0.961329i | \(0.411188\pi\) | |||||||
\(234\) | −2.97737 | − | 0.967407i | −0.194637 | − | 0.0632414i | ||||
\(235\) | −2.06672 | − | 1.67463i | −0.134818 | − | 0.109241i | ||||
\(236\) | −1.12239 | + | 0.815463i | −0.0730613 | + | 0.0530821i | ||||
\(237\) | −1.87814 | − | 0.297468i | −0.121998 | − | 0.0193226i | ||||
\(238\) | −10.6142 | − | 5.40820i | −0.688016 | − | 0.350562i | ||||
\(239\) | −0.992845 | + | 3.05566i | −0.0642218 | + | 0.197654i | −0.978019 | − | 0.208517i | \(-0.933136\pi\) |
0.913797 | + | 0.406171i | \(0.133136\pi\) | |||||||
\(240\) | −0.418966 | + | 7.94829i | −0.0270441 | + | 0.513060i | ||||
\(241\) | 25.4119i | 1.63693i | 0.574559 | + | 0.818463i | \(0.305174\pi\) | ||||
−0.574559 | + | 0.818463i | \(0.694826\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.2809 | − | 11.2809i | −0.723671 | − | 0.723671i | ||||
\(244\) | −0.938177 | − | 0.681626i | −0.0600606 | − | 0.0436366i | ||||
\(245\) | −20.8504 | − | 12.0464i | −1.33208 | − | 0.769617i | ||||
\(246\) | 0.217772 | + | 0.670232i | 0.0138846 | + | 0.0427324i | ||||
\(247\) | 0.786564 | − | 4.96617i | 0.0500479 | − | 0.315990i | ||||
\(248\) | −0.179955 | + | 1.13619i | −0.0114272 | + | 0.0721482i | ||||
\(249\) | 0.511587 | + | 1.57450i | 0.0324205 | + | 0.0997800i | ||||
\(250\) | −16.1857 | − | 2.57865i | −1.02368 | − | 0.163088i | ||||
\(251\) | −13.1914 | − | 9.58411i | −0.832634 | − | 0.604944i | 0.0876695 | − | 0.996150i | \(-0.472058\pi\) |
−0.920303 | + | 0.391206i | \(0.872058\pi\) | |||||||
\(252\) | −1.02473 | − | 1.02473i | −0.0645519 | − | 0.0645519i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 1.69982i | 0.106656i | ||||||||
\(255\) | 2.66748 | − | 2.40035i | 0.167044 | − | 0.150316i | ||||
\(256\) | 1.09922 | − | 3.38304i | 0.0687011 | − | 0.211440i | ||||
\(257\) | 14.4379 | + | 7.35648i | 0.900611 | + | 0.458884i | 0.842050 | − | 0.539399i | \(-0.181349\pi\) |
0.0585613 | + | 0.998284i | \(0.481349\pi\) | |||||||
\(258\) | 8.61465 | + | 1.36443i | 0.536325 | + | 0.0849455i | ||||
\(259\) | 16.8229 | − | 12.2225i | 1.04532 | − | 0.759470i | ||||
\(260\) | 0.194190 | − | 0.239657i | 0.0120432 | − | 0.0148629i | ||||
\(261\) | −2.19809 | − | 0.714202i | −0.136058 | − | 0.0442080i | ||||
\(262\) | −20.9268 | + | 3.31449i | −1.29286 | + | 0.204770i | ||||
\(263\) | 0.677874 | − | 0.677874i | 0.0417995 | − | 0.0417995i | −0.685898 | − | 0.727698i | \(-0.740590\pi\) |
0.727698 | + | 0.685898i | \(0.240590\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.0548 | − | 17.0342i | −0.679092 | − | 1.04640i | ||||
\(266\) | 19.7293 | − | 27.1550i | 1.20968 | − | 1.66498i | ||||
\(267\) | −5.26512 | − | 10.3334i | −0.322220 | − | 0.632393i | ||||
\(268\) | 0.292319 | − | 0.573709i | 0.0178562 | − | 0.0350448i | ||||
\(269\) | 16.7071 | + | 22.9954i | 1.01865 | + | 1.40205i | 0.913146 | + | 0.407633i | \(0.133646\pi\) |
0.105505 | + | 0.994419i | \(0.466354\pi\) | |||||||
\(270\) | 13.2316 | − | 5.88629i | 0.805250 | − | 0.358228i | ||||
\(271\) | −29.2449 | + | 9.50226i | −1.77650 | + | 0.577221i | −0.998685 | − | 0.0512672i | \(-0.983674\pi\) |
−0.777819 | + | 0.628488i | \(0.783674\pi\) | |||||||
\(272\) | −7.34440 | + | 3.74216i | −0.445320 | + | 0.226902i | ||||
\(273\) | 0.508153 | + | 3.20835i | 0.0307548 | + | 0.194178i | ||||
\(274\) | −18.1363 | −1.09565 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.343863 | −0.0206981 | ||||||||
\(277\) | −4.71626 | − | 29.7773i | −0.283372 | − | 1.78914i | −0.560339 | − | 0.828264i | \(-0.689329\pi\) |
0.276966 | − | 0.960880i | \(-0.410671\pi\) | |||||||
\(278\) | −1.31843 | + | 0.671772i | −0.0790740 | + | 0.0402902i | ||||
\(279\) | 0.930168 | − | 0.302230i | 0.0556877 | − | 0.0180940i | ||||
\(280\) | −23.3683 | + | 10.3958i | −1.39652 | + | 0.621265i | ||||
\(281\) | 5.00737 | + | 6.89206i | 0.298715 | + | 0.411146i | 0.931820 | − | 0.362920i | \(-0.118220\pi\) |
−0.633106 | + | 0.774065i | \(0.718220\pi\) | |||||||
\(282\) | −0.659079 | + | 1.29352i | −0.0392476 | + | 0.0770277i | ||||
\(283\) | −4.33188 | − | 8.50180i | −0.257504 | − | 0.505380i | 0.725672 | − | 0.688041i | \(-0.241529\pi\) |
−0.983176 | + | 0.182661i | \(0.941529\pi\) | |||||||
\(284\) | 0.752536 | − | 1.03578i | 0.0446548 | − | 0.0614621i | ||||
\(285\) | 5.50430 | + | 8.48150i | 0.326046 | + | 0.502401i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.72125 | + | 1.72125i | −0.101602 | + | 0.101602i | ||||
\(288\) | −1.91692 | + | 0.303611i | −0.112956 | + | 0.0178904i | ||||
\(289\) | −12.6336 | − | 4.10489i | −0.743151 | − | 0.241464i | ||||
\(290\) | 2.06744 | − | 2.55150i | 0.121404 | − | 0.149829i | ||||
\(291\) | 2.23889 | − | 1.62665i | 0.131246 | − | 0.0953558i | ||||
\(292\) | 0.803697 | + | 0.127293i | 0.0470328 | + | 0.00744926i | ||||
\(293\) | −2.05595 | − | 1.04756i | −0.120110 | − | 0.0611992i | 0.392903 | − | 0.919580i | \(-0.371471\pi\) |
−0.513013 | + | 0.858381i | \(0.671471\pi\) | |||||||
\(294\) | −4.06114 | + | 12.4989i | −0.236850 | + | 0.728950i | ||||
\(295\) | 15.4744 | − | 13.9248i | 0.900957 | − | 0.810731i | ||||
\(296\) | − | 13.3854i | − | 0.778013i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.26523 | − | 1.26523i | −0.0732926 | − | 0.0732926i | ||||
\(299\) | −2.07580 | − | 1.50816i | −0.120047 | − | 0.0872191i | ||||
\(300\) | 0.0320877 | + | 0.619449i | 0.00185259 | + | 0.0357639i | ||||
\(301\) | 9.30981 | + | 28.6526i | 0.536609 | + | 1.65151i | ||||
\(302\) | −0.363883 | + | 2.29746i | −0.0209391 | + | 0.132204i | ||||
\(303\) | −1.73084 | + | 10.9281i | −0.0994342 | + | 0.627803i | ||||
\(304\) | −7.17702 | − | 22.0886i | −0.411630 | − | 1.26687i | ||||
\(305\) | 15.0667 | + | 8.70487i | 0.862719 | + | 0.498440i | ||||
\(306\) | 5.27446 | + | 3.83212i | 0.301521 | + | 0.219068i | ||||
\(307\) | −12.4635 | − | 12.4635i | −0.711327 | − | 0.711327i | 0.255486 | − | 0.966813i | \(-0.417765\pi\) |
−0.966813 | + | 0.255486i | \(0.917765\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.39331i | 0.477479i | ||||||||
\(310\) | −0.0731506 | + | 1.38775i | −0.00415467 | + | 0.0788191i | ||||
\(311\) | 4.67035 | − | 14.3738i | 0.264831 | − | 0.815066i | −0.726901 | − | 0.686742i | \(-0.759040\pi\) |
0.991732 | − | 0.128324i | \(-0.0409598\pi\) | |||||||
\(312\) | 1.86309 | + | 0.949292i | 0.105477 | + | 0.0537431i | ||||
\(313\) | −25.7947 | − | 4.08547i | −1.45800 | − | 0.230925i | −0.623453 | − | 0.781861i | \(-0.714271\pi\) |
−0.834547 | + | 0.550936i | \(0.814271\pi\) | |||||||
\(314\) | 8.79900 | − | 6.39285i | 0.496556 | − | 0.360769i | ||||
\(315\) | 16.8950 | + | 13.6898i | 0.951924 | + | 0.771331i | ||||
\(316\) | 0.323736 | + | 0.105188i | 0.0182116 | + | 0.00591730i | ||||
\(317\) | −27.9785 | + | 4.43136i | −1.57143 | + | 0.248890i | −0.880505 | − | 0.474036i | \(-0.842797\pi\) |
−0.690925 | + | 0.722926i | \(0.742797\pi\) | |||||||
\(318\) | −7.83675 | + | 7.83675i | −0.439463 | + | 0.439463i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −3.40720 | + | 16.0058i | −0.190469 | + | 0.894751i | ||||
\(321\) | 3.01745 | − | 4.15317i | 0.168418 | − | 0.231807i | ||||
\(322\) | −7.77618 | − | 15.2616i | −0.433349 | − | 0.850496i | ||||
\(323\) | −4.75381 | + | 9.32988i | −0.264509 | + | 0.519128i | ||||
\(324\) | 0.284076 | + | 0.390997i | 0.0157820 | + | 0.0217221i | ||||
\(325\) | −2.52316 | + | 3.88018i | −0.139960 | + | 0.215233i | ||||
\(326\) | 21.4831 | − | 6.98027i | 1.18984 | − | 0.386602i | ||||
\(327\) | 14.7750 | − | 7.52822i | 0.817057 | − | 0.416311i | ||||
\(328\) | 0.245122 | + | 1.54764i | 0.0135346 | + | 0.0854542i | ||||
\(329\) | −5.01454 | −0.276461 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −24.6455 | −1.35464 | −0.677319 | − | 0.735690i | \(-0.736858\pi\) | ||||
−0.677319 | + | 0.735690i | \(0.736858\pi\) | |||||||
\(332\) | −0.0463604 | − | 0.292708i | −0.00254436 | − | 0.0160644i | ||||
\(333\) | −10.1400 | + | 5.16658i | −0.555667 | + | 0.283127i | ||||
\(334\) | 5.78618 | − | 1.88004i | 0.316606 | − | 0.102871i | ||||
\(335\) | −3.46513 | + | 9.01881i | −0.189320 | + | 0.492750i | ||||
\(336\) | 8.81944 | + | 12.1389i | 0.481140 | + | 0.662232i | ||||
\(337\) | 14.0809 | − | 27.6353i | 0.767035 | − | 1.50539i | −0.0932862 | − | 0.995639i | \(-0.529737\pi\) |
0.860321 | − | 0.509752i | \(-0.170263\pi\) | |||||||
\(338\) | 8.08160 | + | 15.8610i | 0.439581 | + | 0.862726i | ||||
\(339\) | 5.93156 | − | 8.16409i | 0.322158 | − | 0.443413i | ||||
\(340\) | −0.538845 | + | 0.349698i | −0.0292230 | + | 0.0189650i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −12.9895 | + | 12.9895i | −0.702390 | + | 0.702390i | ||||
\(343\) | −15.6919 | + | 2.48535i | −0.847282 | + | 0.134196i | ||||
\(344\) | 18.4440 | + | 5.99282i | 0.994434 | + | 0.323111i | ||||
\(345\) | 5.13158 | − | 0.537779i | 0.276275 | − | 0.0289531i | ||||
\(346\) | 5.13499 | − | 3.73079i | 0.276059 | − | 0.200568i | ||||
\(347\) | −29.8141 | − | 4.72209i | −1.60051 | − | 0.253495i | −0.708565 | − | 0.705646i | \(-0.750657\pi\) |
−0.891942 | + | 0.452150i | \(0.850657\pi\) | |||||||
\(348\) | −0.110737 | − | 0.0564232i | −0.00593612 | − | 0.00302460i | ||||
\(349\) | 6.60284 | − | 20.3215i | 0.353442 | − | 1.08778i | −0.603465 | − | 0.797389i | \(-0.706214\pi\) |
0.956907 | − | 0.290393i | \(-0.0937862\pi\) | |||||||
\(350\) | −26.7673 | + | 15.4325i | −1.43077 | + | 0.824901i | ||||
\(351\) | − | 4.08959i | − | 0.218286i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2.82626 | − | 2.82626i | −0.150427 | − | 0.150427i | 0.627882 | − | 0.778309i | \(-0.283922\pi\) |
−0.778309 | + | 0.627882i | \(0.783922\pi\) | |||||||
\(354\) | −9.19150 | − | 6.67801i | −0.488523 | − | 0.354932i | ||||
\(355\) | −9.61045 | + | 16.6342i | −0.510070 | + | 0.882849i | ||||
\(356\) | 0.641536 | + | 1.97445i | 0.0340014 | + | 0.104645i | ||||
\(357\) | 1.05825 | − | 6.68153i | 0.0560085 | − | 0.353624i | ||||
\(358\) | −0.853000 | + | 5.38563i | −0.0450824 | + | 0.284639i | ||||
\(359\) | −3.31893 | − | 10.2146i | −0.175167 | − | 0.539107i | 0.824474 | − | 0.565899i | \(-0.191471\pi\) |
−0.999641 | + | 0.0267919i | \(0.991471\pi\) | |||||||
\(360\) | 13.5217 | − | 3.61874i | 0.712656 | − | 0.190724i | ||||
\(361\) | −8.49793 | − | 6.17411i | −0.447260 | − | 0.324953i | ||||
\(362\) | 6.26778 | + | 6.26778i | 0.329427 | + | 0.329427i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 0.581487i | − | 0.0304782i | ||||||
\(365\) | −12.1929 | − | 0.642706i | −0.638206 | − | 0.0336408i | ||||
\(366\) | 2.93462 | − | 9.03185i | 0.153395 | − | 0.472102i | ||||
\(367\) | −30.8327 | − | 15.7100i | −1.60945 | − | 0.820057i | −0.999621 | − | 0.0275263i | \(-0.991237\pi\) |
−0.609832 | − | 0.792531i | \(-0.708763\pi\) | |||||||
\(368\) | −11.7060 | − | 1.85405i | −0.610217 | − | 0.0966489i | ||||
\(369\) | 1.07778 | − | 0.783055i | 0.0561072 | − | 0.0407642i | ||||
\(370\) | −1.68538 | − | 16.0822i | −0.0876186 | − | 0.836071i | ||||
\(371\) | −36.4081 | − | 11.8297i | −1.89022 | − | 0.614168i | ||||
\(372\) | 0.0519454 | − | 0.00822735i | 0.00269324 | − | 0.000426568i | ||||
\(373\) | 9.90454 | − | 9.90454i | 0.512838 | − | 0.512838i | −0.402557 | − | 0.915395i | \(-0.631879\pi\) |
0.915395 | + | 0.402557i | \(0.131879\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.44763 | − | 9.19406i | −0.0747555 | − | 0.474779i | ||||
\(376\) | −1.89732 | + | 2.61144i | −0.0978468 | + | 0.134675i | ||||
\(377\) | −0.421019 | − | 0.826295i | −0.0216836 | − | 0.0425564i | ||||
\(378\) | 12.3941 | − | 24.3249i | 0.637486 | − | 1.25114i | ||||
\(379\) | 15.5768 | + | 21.4396i | 0.800125 | + | 1.10128i | 0.992773 | + | 0.120009i | \(0.0382925\pi\) |
−0.192648 | + | 0.981268i | \(0.561708\pi\) | |||||||
\(380\) | −0.735683 | − | 1.65372i | −0.0377398 | − | 0.0848340i | ||||
\(381\) | −0.918034 | + | 0.298287i | −0.0470323 | + | 0.0152817i | ||||
\(382\) | −21.6232 | + | 11.0176i | −1.10634 | + | 0.563709i | ||||
\(383\) | 3.76032 | + | 23.7417i | 0.192143 | + | 1.21315i | 0.875557 | + | 0.483115i | \(0.160495\pi\) |
−0.683414 | + | 0.730031i | \(0.739505\pi\) | |||||||
\(384\) | 10.3318 | 0.527243 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 24.8686 | 1.26578 | ||||||||
\(387\) | −2.57932 | − | 16.2852i | −0.131114 | − | 0.827822i | ||||
\(388\) | −0.441401 | + | 0.224905i | −0.0224087 | + | 0.0114178i | ||||
\(389\) | 7.17613 | − | 2.33167i | 0.363844 | − | 0.118220i | −0.121389 | − | 0.992605i | \(-0.538735\pi\) |
0.485233 | + | 0.874385i | \(0.338735\pi\) | |||||||
\(390\) | 2.35797 | + | 0.905958i | 0.119400 | + | 0.0458750i | ||||
\(391\) | 3.14080 | + | 4.32295i | 0.158837 | + | 0.218621i | ||||
\(392\) | −13.2661 | + | 26.0362i | −0.670039 | + | 1.31503i | ||||
\(393\) | −5.46236 | − | 10.7205i | −0.275540 | − | 0.540777i | ||||
\(394\) | 11.7425 | − | 16.1622i | 0.591580 | − | 0.814240i | ||||
\(395\) | −4.99573 | − | 1.06346i | −0.251362 | − | 0.0535083i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.0995 | − | 16.0995i | 0.808008 | − | 0.808008i | −0.176324 | − | 0.984332i | \(-0.556421\pi\) |
0.984332 | + | 0.176324i | \(0.0564206\pi\) | |||||||
\(398\) | 28.1133 | − | 4.45272i | 1.40919 | − | 0.223195i | ||||
\(399\) | 18.1279 | + | 5.89012i | 0.907532 | + | 0.294875i | ||||
\(400\) | −2.24761 | + | 21.2607i | −0.112381 | + | 1.06303i | ||||
\(401\) | 19.5313 | − | 14.1903i | 0.975347 | − | 0.708631i | 0.0186833 | − | 0.999825i | \(-0.494053\pi\) |
0.956664 | + | 0.291194i | \(0.0940526\pi\) | |||||||
\(402\) | 5.20803 | + | 0.824871i | 0.259753 | + | 0.0411408i | ||||
\(403\) | 0.349664 | + | 0.178163i | 0.0174180 | + | 0.00887493i | ||||
\(404\) | 0.612047 | − | 1.88369i | 0.0304505 | − | 0.0937169i | ||||
\(405\) | −4.85086 | − | 5.39070i | −0.241041 | − | 0.267866i | ||||
\(406\) | − | 6.19078i | − | 0.307243i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −3.07915 | − | 3.07915i | −0.152441 | − | 0.152441i | ||||
\(409\) | 4.73749 | + | 3.44199i | 0.234254 | + | 0.170195i | 0.698719 | − | 0.715396i | \(-0.253754\pi\) |
−0.464466 | + | 0.885591i | \(0.653754\pi\) | |||||||
\(410\) | 0.489372 | + | 1.82857i | 0.0241683 | + | 0.0903069i | ||||
\(411\) | −3.18259 | − | 9.79502i | −0.156986 | − | 0.483153i | ||||
\(412\) | 0.235041 | − | 1.48399i | 0.0115796 | − | 0.0731108i | ||||
\(413\) | 6.13906 | − | 38.7605i | 0.302083 | − | 1.90728i | ||||
\(414\) | 2.89678 | + | 8.91538i | 0.142369 | + | 0.438167i | ||||
\(415\) | 1.14963 | + | 4.29567i | 0.0564329 | + | 0.210866i | ||||
\(416\) | −0.630025 | − | 0.457740i | −0.0308895 | − | 0.0224425i | ||||
\(417\) | −0.594169 | − | 0.594169i | −0.0290966 | − | 0.0290966i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 11.0599i | 0.540311i | 0.962817 | + | 0.270155i | \(0.0870751\pi\) | ||||
−0.962817 | + | 0.270155i | \(0.912925\pi\) | |||||||
\(420\) | 0.782166 | + | 0.869212i | 0.0381658 | + | 0.0424132i | ||||
\(421\) | 2.43291 | − | 7.48773i | 0.118573 | − | 0.364930i | −0.874103 | − | 0.485741i | \(-0.838550\pi\) |
0.992675 | + | 0.120812i | \(0.0385497\pi\) | |||||||
\(422\) | −8.34769 | − | 4.25336i | −0.406359 | − | 0.207050i | ||||
\(423\) | 2.71060 | + | 0.429317i | 0.131794 | + | 0.0208741i | ||||
\(424\) | −19.9361 | + | 14.4844i | −0.968182 | + | 0.703426i | ||||
\(425\) | 7.49445 | − | 6.06138i | 0.363534 | − | 0.294020i | ||||
\(426\) | 9.97144 | + | 3.23992i | 0.483118 | + | 0.156975i | ||||
\(427\) | 32.3989 | − | 5.13149i | 1.56790 | − | 0.248330i | ||||
\(428\) | −0.649807 | + | 0.649807i | −0.0314096 | + | 0.0314096i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 22.9144 | + | 4.87787i | 1.10503 | + | 0.235232i | ||||
\(431\) | −4.29257 | + | 5.90821i | −0.206766 | + | 0.284589i | −0.899788 | − | 0.436328i | \(-0.856279\pi\) |
0.693022 | + | 0.720916i | \(0.256279\pi\) | |||||||
\(432\) | −8.57602 | − | 16.8314i | −0.412614 | − | 0.809801i | ||||
\(433\) | 2.29152 | − | 4.49736i | 0.110123 | − | 0.216129i | −0.829367 | − | 0.558704i | \(-0.811299\pi\) |
0.939491 | + | 0.342574i | \(0.111299\pi\) | |||||||
\(434\) | 1.53986 | + | 2.11943i | 0.0739154 | + | 0.101736i | ||||
\(435\) | 1.74080 | + | 0.668837i | 0.0834652 | + | 0.0320683i | ||||
\(436\) | −2.82312 | + | 0.917286i | −0.135203 | + | 0.0439301i | ||||
\(437\) | −13.4150 | + | 6.83526i | −0.641724 | + | 0.326975i | ||||
\(438\) | 1.04243 | + | 6.58166i | 0.0498093 | + | 0.314484i | ||||
\(439\) | −1.29778 | −0.0619394 | −0.0309697 | − | 0.999520i | \(-0.509860\pi\) | ||||
−0.0309697 | + | 0.999520i | \(0.509860\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 24.8439 | 1.18304 | ||||||||
\(442\) | 0.409231 | + | 2.58378i | 0.0194651 | + | 0.122898i | ||||
\(443\) | −13.7222 | + | 6.99183i | −0.651963 | + | 0.332192i | −0.748497 | − | 0.663138i | \(-0.769224\pi\) |
0.0965341 | + | 0.995330i | \(0.469224\pi\) | |||||||
\(444\) | −0.582016 | + | 0.189108i | −0.0276212 | + | 0.00897469i | ||||
\(445\) | −12.6618 | − | 28.4620i | −0.600225 | − | 1.34923i | ||||
\(446\) | −12.2313 | − | 16.8349i | −0.579169 | − | 0.797157i | ||||
\(447\) | 0.461296 | − | 0.905345i | 0.0218186 | − | 0.0428213i | ||||
\(448\) | 14.0053 | + | 27.4870i | 0.661691 | + | 1.29864i | ||||
\(449\) | −7.12560 | + | 9.80755i | −0.336278 | + | 0.462847i | −0.943350 | − | 0.331800i | \(-0.892344\pi\) |
0.607072 | + | 0.794647i | \(0.292344\pi\) | |||||||
\(450\) | 15.7902 | − | 6.05033i | 0.744359 | − | 0.285215i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −1.27736 | + | 1.27736i | −0.0600818 | + | 0.0600818i | ||||
\(453\) | −1.30466 | + | 0.206638i | −0.0612984 | + | 0.00970872i | ||||
\(454\) | 11.5414 | + | 3.75003i | 0.541666 | + | 0.175998i | ||||
\(455\) | 0.909407 | + | 8.67772i | 0.0426337 | + | 0.406818i | ||||
\(456\) | 9.92637 | − | 7.21193i | 0.464845 | − | 0.337729i | ||||
\(457\) | 3.46749 | + | 0.549197i | 0.162202 | + | 0.0256903i | 0.237007 | − | 0.971508i | \(-0.423833\pi\) |
−0.0748050 | + | 0.997198i | \(0.523833\pi\) | |||||||
\(458\) | 25.6002 | + | 13.0440i | 1.19622 | + | 0.609505i | ||||
\(459\) | −2.63181 | + | 8.09989i | −0.122843 | + | 0.378071i | ||||
\(460\) | −0.922354 | − | 0.0486187i | −0.0430050 | − | 0.00226686i | ||||
\(461\) | 5.45336i | 0.253988i | 0.991903 | + | 0.126994i | \(0.0405329\pi\) | ||||
−0.991903 | + | 0.126994i | \(0.959467\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.3996 | + | 15.3996i | 0.715681 | + | 0.715681i | 0.967718 | − | 0.252037i | \(-0.0811005\pi\) |
−0.252037 | + | 0.967718i | \(0.581100\pi\) | |||||||
\(464\) | −3.46555 | − | 2.51787i | −0.160884 | − | 0.116889i | ||||
\(465\) | −0.762331 | + | 0.204019i | −0.0353523 | + | 0.00946114i | ||||
\(466\) | −1.68207 | − | 5.17688i | −0.0779205 | − | 0.239815i | ||||
\(467\) | 2.29706 | − | 14.5030i | 0.106295 | − | 0.671121i | −0.875791 | − | 0.482690i | \(-0.839660\pi\) |
0.982086 | − | 0.188431i | \(-0.0603402\pi\) | |||||||
\(468\) | −0.0497836 | + | 0.314321i | −0.00230125 | + | 0.0145295i | ||||
\(469\) | 5.62829 | + | 17.3221i | 0.259890 | + | 0.799861i | ||||
\(470\) | −1.95076 | + | 3.37645i | −0.0899817 | + | 0.155744i | ||||
\(471\) | 4.99670 | + | 3.63031i | 0.230236 | + | 0.167276i | ||||
\(472\) | −17.8626 | − | 17.8626i | −0.822193 | − | 0.822193i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 2.78758i | 0.128038i | ||||||||
\(475\) | 13.5652 | + | 23.5284i | 0.622412 | + | 1.07956i | ||||
\(476\) | −0.374210 | + | 1.15170i | −0.0171519 | + | 0.0527881i | ||||
\(477\) | 18.6675 | + | 9.51158i | 0.854728 | + | 0.435506i | ||||
\(478\) | 4.65200 | + | 0.736804i | 0.212777 | + | 0.0337006i | ||||
\(479\) | 3.97527 | − | 2.88820i | 0.181635 | − | 0.131965i | −0.493253 | − | 0.869886i | \(-0.664192\pi\) |
0.674887 | + | 0.737921i | \(0.264192\pi\) | |||||||
\(480\) | 1.55748 | − | 0.163221i | 0.0710889 | − | 0.00744998i | ||||
\(481\) | −4.34288 | − | 1.41109i | −0.198018 | − | 0.0643401i | ||||
\(482\) | 36.7941 | − | 5.82761i | 1.67592 | − | 0.265440i | ||||
\(483\) | 6.87787 | − | 6.87787i | 0.312954 | − | 0.312954i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 6.23543 | − | 4.04665i | 0.283136 | − | 0.183749i | ||||
\(486\) | −13.7467 | + | 18.9207i | −0.623563 | + | 0.858260i | ||||
\(487\) | 4.87474 | + | 9.56722i | 0.220896 | + | 0.433532i | 0.974685 | − | 0.223584i | \(-0.0717758\pi\) |
−0.753789 | + | 0.657117i | \(0.771776\pi\) | |||||||
\(488\) | 9.58624 | − | 18.8141i | 0.433949 | − | 0.851672i | ||||
\(489\) | 7.53978 | + | 10.3776i | 0.340961 | + | 0.469292i | ||||
\(490\) | −12.6605 | + | 32.9520i | −0.571944 | + | 1.48862i | ||||
\(491\) | −3.09670 | + | 1.00618i | −0.139752 | + | 0.0454082i | −0.378058 | − | 0.925782i | \(-0.623408\pi\) |
0.238306 | + | 0.971190i | \(0.423408\pi\) | |||||||
\(492\) | 0.0638303 | − | 0.0325232i | 0.00287769 | − | 0.00146626i | ||||
\(493\) | 0.302121 | + | 1.90751i | 0.0136068 | + | 0.0859102i | ||||
\(494\) | −7.37092 | −0.331634 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.81272 | 0.0813935 | ||||||||
\(497\) | 5.66533 | + | 35.7695i | 0.254125 | + | 1.60448i | ||||
\(498\) | 2.16241 | − | 1.10180i | 0.0968999 | − | 0.0493730i | ||||
\(499\) | −8.50419 | + | 2.76318i | −0.380700 | + | 0.123697i | −0.493114 | − | 0.869965i | \(-0.664142\pi\) |
0.112414 | + | 0.993661i | \(0.464142\pi\) | |||||||
\(500\) | −0.00151388 | + | 1.66611i | −6.77027e−5 | + | 0.0745105i | ||||
\(501\) | 2.03074 | + | 2.79507i | 0.0907267 | + | 0.124875i | ||||
\(502\) | −10.8518 | + | 21.2978i | −0.484338 | + | 0.950567i | ||||
\(503\) | −8.77718 | − | 17.2262i | −0.391355 | − | 0.768078i | 0.608317 | − | 0.793695i | \(-0.291845\pi\) |
−0.999672 | + | 0.0256165i | \(0.991845\pi\) | |||||||
\(504\) | 15.5102 | − | 21.3480i | 0.690879 | − | 0.950913i | ||||
\(505\) | −6.18781 | + | 29.0681i | −0.275354 | + | 1.29351i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.14801 | + | 7.14801i | −0.317454 | + | 0.317454i | ||||
\(508\) | 0.170667 | − | 0.0270310i | 0.00757213 | − | 0.00119931i | ||||
\(509\) | −2.68344 | − | 0.871901i | −0.118941 | − | 0.0386463i | 0.248942 | − | 0.968518i | \(-0.419917\pi\) |
−0.367883 | + | 0.929872i | \(0.619917\pi\) | |||||||
\(510\) | −4.08720 | − | 3.31180i | −0.180984 | − | 0.146649i | ||||
\(511\) | −18.6215 | + | 13.5293i | −0.823765 | + | 0.598500i | ||||
\(512\) | 19.3660 | + | 3.06727i | 0.855863 | + | 0.135555i | ||||
\(513\) | −21.3816 | − | 10.8945i | −0.944020 | − | 0.481002i | ||||
\(514\) | 7.34050 | − | 22.5917i | 0.323776 | − | 0.996479i | ||||
\(515\) | −1.18673 | + | 22.5136i | −0.0522934 | + | 0.992069i | ||||
\(516\) | − | 0.886635i | − | 0.0390319i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −21.5550 | − | 21.5550i | −0.947071 | − | 0.947071i | ||||
\(519\) | 2.91601 | + | 2.11861i | 0.127999 | + | 0.0929965i | ||||
\(520\) | 4.86320 | + | 2.80974i | 0.213266 | + | 0.123215i | ||||
\(521\) | 2.93670 | + | 9.03825i | 0.128659 | + | 0.395973i | 0.994550 | − | 0.104261i | \(-0.0332476\pi\) |
−0.865891 | + | 0.500233i | \(0.833248\pi\) | |||||||
\(522\) | −0.530019 | + | 3.34641i | −0.0231983 | + | 0.146468i | ||||
\(523\) | 2.32094 | − | 14.6538i | 0.101488 | − | 0.640767i | −0.883538 | − | 0.468359i | \(-0.844845\pi\) |
0.985026 | − | 0.172408i | \(-0.0551547\pi\) | |||||||
\(524\) | 0.665569 | + | 2.04841i | 0.0290755 | + | 0.0894853i | ||||
\(525\) | −13.0319 | − | 11.7483i | −0.568759 | − | 0.512737i | ||||
\(526\) | −1.13695 | − | 0.826043i | −0.0495734 | − | 0.0360172i | ||||
\(527\) | −0.577895 | − | 0.577895i | −0.0251735 | − | 0.0251735i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 15.3169i | − | 0.665953i | ||||||
\(530\) | −22.1288 | + | 19.9127i | −0.961214 | + | 0.864954i | ||||
\(531\) | −6.63691 | + | 20.4263i | −0.288017 | + | 0.886426i | ||||
\(532\) | −3.04019 | − | 1.54905i | −0.131809 | − | 0.0671600i | ||||
\(533\) | 0.527970 | + | 0.0836222i | 0.0228689 | + | 0.00362208i | ||||
\(534\) | −13.7543 | + | 9.99311i | −0.595208 | + | 0.432444i | ||||
\(535\) | 8.68102 | − | 10.7135i | 0.375313 | − | 0.463186i | ||||
\(536\) | 11.1504 | + | 3.62299i | 0.481625 | + | 0.156489i | ||||
\(537\) | −3.05834 | + | 0.484394i | −0.131977 | + | 0.0209031i | ||||
\(538\) | 29.4638 | − | 29.4638i | 1.27027 | − | 1.27027i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.801414 | − | 1.23489i | −0.0344874 | − | 0.0531411i | ||||
\(541\) | −18.3773 | + | 25.2942i | −0.790102 | + | 1.08748i | 0.203993 | + | 0.978972i | \(0.434608\pi\) |
−0.994095 | + | 0.108510i | \(0.965392\pi\) | |||||||
\(542\) | 20.4650 | + | 40.1648i | 0.879047 | + | 1.72523i | ||||
\(543\) | −2.28521 | + | 4.48497i | −0.0980676 | + | 0.192469i | ||||
\(544\) | 0.953262 | + | 1.31205i | 0.0408708 | + | 0.0562538i | ||||
\(545\) | 40.6957 | − | 18.1041i | 1.74321 | − | 0.775496i | ||||
\(546\) | 4.52886 | − | 1.47152i | 0.193817 | − | 0.0629751i | ||||
\(547\) | 28.1254 | − | 14.3306i | 1.20255 | − | 0.612732i | 0.266244 | − | 0.963906i | \(-0.414217\pi\) |
0.936310 | + | 0.351174i | \(0.114217\pi\) | |||||||
\(548\) | 0.288409 | + | 1.82094i | 0.0123202 | + | 0.0777868i | ||||
\(549\) | −17.9525 | −0.766194 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.44169 | −0.231824 | ||||||||
\(552\) | −0.979472 | − | 6.18414i | −0.0416891 | − | 0.263215i | ||||
\(553\) | −8.57925 | + | 4.37135i | −0.364827 | + | 0.185889i | ||||
\(554\) | −42.0331 | + | 13.6574i | −1.78582 | + | 0.580247i | ||||
\(555\) | 8.38986 | − | 3.73236i | 0.356130 | − | 0.158430i | ||||
\(556\) | 0.0884140 | + | 0.121691i | 0.00374959 | + | 0.00516087i | ||||
\(557\) | 6.02103 | − | 11.8169i | 0.255119 | − | 0.500700i | −0.727553 | − | 0.686052i | \(-0.759342\pi\) |
0.982672 | + | 0.185352i | \(0.0593424\pi\) | |||||||
\(558\) | −0.650912 | − | 1.27749i | −0.0275553 | − | 0.0540803i | ||||
\(559\) | 3.88872 | − | 5.35237i | 0.164475 | − | 0.226381i | ||||
\(560\) | 21.9403 | + | 33.8076i | 0.927149 | + | 1.42863i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.83073 | − | 8.83073i | 0.372502 | − | 0.372502i | ||||
\(563\) | 29.0094 | − | 4.59464i | 1.22260 | − | 0.193641i | 0.488429 | − | 0.872604i | \(-0.337570\pi\) |
0.734173 | + | 0.678963i | \(0.237570\pi\) | |||||||
\(564\) | 0.140354 | + | 0.0456037i | 0.00590996 | + | 0.00192026i | ||||
\(565\) | 17.0647 | − | 21.0601i | 0.717918 | − | 0.886006i | ||||
\(566\) | −11.3164 | + | 8.22184i | −0.475663 | + | 0.345590i | ||||
\(567\) | −13.5027 | − | 2.13861i | −0.567059 | − | 0.0898133i | ||||
\(568\) | 20.7713 | + | 10.5835i | 0.871545 | + | 0.444074i | ||||
\(569\) | −6.62865 | + | 20.4009i | −0.277887 | + | 0.855249i | 0.710554 | + | 0.703643i | \(0.248445\pi\) |
−0.988441 | + | 0.151606i | \(0.951555\pi\) | |||||||
\(570\) | 11.0181 | − | 9.91473i | 0.461499 | − | 0.415282i | ||||
\(571\) | 28.7176i | 1.20179i | 0.799326 | + | 0.600897i | \(0.205190\pi\) | ||||
−0.799326 | + | 0.600897i | \(0.794810\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.74484 | − | 9.74484i | −0.407097 | − | 0.407097i | ||||
\(574\) | 2.88694 | + | 2.09748i | 0.120499 | + | 0.0875473i | ||||
\(575\) | 13.8406 | − | 0.716950i | 0.577194 | − | 0.0298989i | ||||
\(576\) | −5.21728 | − | 16.0571i | −0.217386 | − | 0.669047i | ||||
\(577\) | 1.04691 | − | 6.60992i | 0.0435834 | − | 0.275175i | −0.956267 | − | 0.292497i | \(-0.905514\pi\) |
0.999850 | + | 0.0173218i | \(0.00551399\pi\) | |||||||
\(578\) | −3.04630 | + | 19.2336i | −0.126709 | + | 0.800011i | ||||
\(579\) | 4.36399 | + | 13.4310i | 0.181361 | + | 0.558173i | ||||
\(580\) | −0.289055 | − | 0.167003i | −0.0120024 | − | 0.00693441i | ||||
\(581\) | 6.78197 | + | 4.92739i | 0.281363 | + | 0.204422i | ||||
\(582\) | −2.86867 | − | 2.86867i | −0.118910 | − | 0.118910i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 14.8165i | 0.613112i | ||||||||
\(585\) | 0.251359 | − | 4.76858i | 0.0103924 | − | 0.197156i | ||||
\(586\) | −1.04529 | + | 3.21706i | −0.0431804 | + | 0.132896i | ||||
\(587\) | −32.5198 | − | 16.5697i | −1.34224 | − | 0.683904i | −0.372494 | − | 0.928035i | \(-0.621497\pi\) |
−0.969742 | + | 0.244131i | \(0.921497\pi\) | |||||||
\(588\) | 1.31951 | + | 0.208990i | 0.0544156 | + | 0.00861859i | ||||
\(589\) | 1.86298 | − | 1.35353i | 0.0767627 | − | 0.0557714i | ||||
\(590\) | −23.7104 | − | 19.2122i | −0.976143 | − | 0.790955i | ||||
\(591\) | 10.7895 | + | 3.50571i | 0.443819 | + | 0.144205i | ||||
\(592\) | −20.8330 | + | 3.29962i | −0.856230 | + | 0.135614i | ||||
\(593\) | 26.6656 | − | 26.6656i | 1.09502 | − | 1.09502i | 0.100040 | − | 0.994983i | \(-0.468103\pi\) |
0.994983 | − | 0.100040i | \(-0.0318971\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.78328 | − | 17.7724i | 0.155099 | − | 0.728599i | ||||
\(596\) | −0.106913 | + | 0.147153i | −0.00437931 | + | 0.00602761i | ||||
\(597\) | 7.33819 | + | 14.4020i | 0.300332 | + | 0.589435i | ||||
\(598\) | −1.70764 | + | 3.35143i | −0.0698305 | + | 0.137050i | ||||
\(599\) | −22.6895 | − | 31.2294i | −0.927068 | − | 1.27600i | −0.960992 | − | 0.276575i | \(-0.910801\pi\) |
0.0339244 | − | 0.999424i | \(-0.489199\pi\) | |||||||
\(600\) | −11.0490 | + | 2.34154i | −0.451073 | + | 0.0955929i | ||||
\(601\) | −36.2521 | + | 11.7790i | −1.47875 | + | 0.480476i | −0.933740 | − | 0.357951i | \(-0.883475\pi\) |
−0.545013 | + | 0.838428i | \(0.683475\pi\) | |||||||
\(602\) | 39.3514 | − | 20.0505i | 1.60384 | − | 0.817198i | ||||
\(603\) | −1.55934 | − | 9.84529i | −0.0635013 | − | 0.400931i | ||||
\(604\) | 0.236459 | 0.00962138 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 16.2198 | 0.658884 | ||||||||
\(607\) | −5.66801 | − | 35.7864i | −0.230057 | − | 1.45253i | −0.784409 | − | 0.620243i | \(-0.787034\pi\) |
0.554352 | − | 0.832282i | \(-0.312966\pi\) | |||||||
\(608\) | −4.07156 | + | 2.07456i | −0.165123 | + | 0.0841346i | ||||
\(609\) | 3.34350 | − | 1.08637i | 0.135485 | − | 0.0440219i | ||||
\(610\) | 9.14864 | − | 23.8115i | 0.370418 | − | 0.964098i | ||||
\(611\) | 0.647262 | + | 0.890879i | 0.0261854 | + | 0.0360411i | ||||
\(612\) | 0.300881 | − | 0.590512i | 0.0121624 | − | 0.0238700i | ||||
\(613\) | −1.09378 | − | 2.14667i | −0.0441775 | − | 0.0867033i | 0.867863 | − | 0.496804i | \(-0.165493\pi\) |
−0.912040 | + | 0.410101i | \(0.865493\pi\) | |||||||
\(614\) | −15.1877 | + | 20.9041i | −0.612927 | + | 0.843621i | ||||
\(615\) | −0.901696 | + | 0.585180i | −0.0363599 | + | 0.0235967i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.5598 | + | 25.5598i | −1.02900 | + | 1.02900i | −0.0294325 | + | 0.999567i | \(0.509370\pi\) |
−0.999567 | + | 0.0294325i | \(0.990630\pi\) | |||||||
\(618\) | 12.1527 | − | 1.92480i | 0.488854 | − | 0.0774269i | ||||
\(619\) | −0.869119 | − | 0.282394i | −0.0349329 | − | 0.0113504i | 0.291498 | − | 0.956571i | \(-0.405846\pi\) |
−0.326431 | + | 0.945221i | \(0.605846\pi\) | |||||||
\(620\) | 0.140498 | − | 0.0147239i | 0.00564254 | − | 0.000591327i | ||||
\(621\) | −9.90703 | + | 7.19788i | −0.397556 | + | 0.288841i | ||||
\(622\) | −21.8830 | − | 3.46593i | −0.877429 | − | 0.138971i | ||||
\(623\) | −52.3243 | − | 26.6606i | −2.09633 | − | 1.06813i | ||||
\(624\) | 1.01820 | − | 3.13371i | 0.0407607 | − | 0.125449i | ||||
\(625\) | −2.58309 | − | 24.8662i | −0.103324 | − | 0.994648i | ||||
\(626\) | 38.2851i | 1.53018i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.781786 | − | 0.781786i | −0.0311967 | − | 0.0311967i | ||||
\(629\) | 7.69348 | + | 5.58964i | 0.306759 | + | 0.222874i | ||||
\(630\) | 15.9470 | − | 27.6018i | 0.635345 | − | 1.09968i | ||||
\(631\) | 7.14050 | + | 21.9762i | 0.284259 | + | 0.874859i | 0.986620 | + | 0.163038i | \(0.0521292\pi\) |
−0.702361 | + | 0.711821i | \(0.747871\pi\) | |||||||
\(632\) | −0.969597 | + | 6.12180i | −0.0385685 | + | 0.243512i | ||||
\(633\) | 0.832277 | − | 5.25479i | 0.0330800 | − | 0.208859i | ||||
\(634\) | 12.8324 | + | 39.4940i | 0.509639 | + | 1.56851i | ||||
\(635\) | −2.50465 | + | 0.670305i | −0.0993938 | + | 0.0266002i | ||||
\(636\) | 0.911457 | + | 0.662212i | 0.0361416 | + | 0.0262584i | ||||
\(637\) | 7.04889 | + | 7.04889i | 0.279287 | + | 0.279287i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 19.8201i | − | 0.784072i | ||||||
\(640\) | 27.7133 | + | 1.46081i | 1.09547 | + | 0.0577436i | ||||
\(641\) | 2.69734 | − | 8.30156i | 0.106538 | − | 0.327892i | −0.883550 | − | 0.468337i | \(-0.844853\pi\) |
0.990088 | + | 0.140445i | \(0.0448534\pi\) | |||||||
\(642\) | −6.70537 | − | 3.41656i | −0.264640 | − | 0.134841i | ||||
\(643\) | 31.1511 | + | 4.93385i | 1.22848 | + | 0.194572i | 0.736744 | − | 0.676172i | \(-0.236362\pi\) |
0.491736 | + | 0.870744i | \(0.336362\pi\) | |||||||
\(644\) | −1.40865 | + | 1.02345i | −0.0555087 | + | 0.0403294i | ||||
\(645\) | 1.38664 | + | 13.2315i | 0.0545989 | + | 0.520992i | ||||
\(646\) | 14.5990 | + | 4.74349i | 0.574388 | + | 0.186630i | ||||
\(647\) | 13.5722 | − | 2.14962i | 0.533578 | − | 0.0845105i | 0.116169 | − | 0.993229i | \(-0.462938\pi\) |
0.417409 | + | 0.908719i | \(0.362938\pi\) | |||||||
\(648\) | −6.22265 | + | 6.22265i | −0.244449 | + | 0.244449i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.19675 | + | 2.76347i | 0.243057 | + | 0.108392i | ||||
\(651\) | −0.874439 | + | 1.20356i | −0.0342720 | + | 0.0471713i | ||||
\(652\) | −1.04247 | − | 2.04596i | −0.0408263 | − | 0.0801262i | ||||
\(653\) | −2.47022 | + | 4.84809i | −0.0966673 | + | 0.189720i | −0.934276 | − | 0.356550i | \(-0.883953\pi\) |
0.837609 | + | 0.546270i | \(0.183953\pi\) | |||||||
\(654\) | −14.2884 | − | 19.6663i | −0.558722 | − | 0.769014i | ||||
\(655\) | −13.1361 | − | 29.5282i | −0.513270 | − | 1.15376i | ||||
\(656\) | 2.34831 | − | 0.763013i | 0.0916861 | − | 0.0297906i | ||||
\(657\) | 11.2241 | − | 5.71896i | 0.437893 | − | 0.223118i | ||||
\(658\) | 1.14996 | + | 7.26059i | 0.0448303 | + | 0.283047i | ||||
\(659\) | −42.1160 | −1.64061 | −0.820304 | − | 0.571928i | \(-0.806195\pi\) | ||||
−0.820304 | + | 0.571928i | \(0.806195\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.5844 | −0.761745 | −0.380872 | − | 0.924628i | \(-0.624376\pi\) | ||||
−0.380872 | + | 0.924628i | \(0.624376\pi\) | |||||||
\(662\) | 5.65184 | + | 35.6843i | 0.219665 | + | 1.38691i | ||||
\(663\) | −1.32363 | + | 0.674423i | −0.0514055 | + | 0.0261924i | ||||
\(664\) | 5.13210 | − | 1.66752i | 0.199164 | − | 0.0647123i | ||||
\(665\) | 47.7923 | + | 18.3624i | 1.85331 | + | 0.712062i | ||||
\(666\) | 9.80607 | + | 13.4969i | 0.379978 | + | 0.522994i | ||||
\(667\) | −1.26069 | + | 2.47424i | −0.0488141 | + | 0.0958030i | ||||
\(668\) | −0.280776 | − | 0.551053i | −0.0108635 | − | 0.0213209i | ||||
\(669\) | 6.94580 | − | 9.56007i | 0.268540 | − | 0.369614i | ||||
\(670\) | 13.8530 | + | 2.94894i | 0.535189 | + | 0.113927i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 2.08750 | − | 2.08750i | 0.0805269 | − | 0.0805269i | ||||
\(673\) | −5.47801 | + | 0.867632i | −0.211162 | + | 0.0334448i | −0.261119 | − | 0.965307i | \(-0.584092\pi\) |
0.0499572 | + | 0.998751i | \(0.484092\pi\) | |||||||
\(674\) | −43.2424 | − | 14.0503i | −1.66564 | − | 0.541198i | ||||
\(675\) | 13.8911 | + | 17.1753i | 0.534667 | + | 0.661077i | ||||
\(676\) | 1.46398 | − | 1.06364i | 0.0563069 | − | 0.0409094i | ||||
\(677\) | −2.30451 | − | 0.364999i | −0.0885697 | − | 0.0140281i | 0.111992 | − | 0.993709i | \(-0.464277\pi\) |
−0.200562 | + | 0.979681i | \(0.564277\pi\) | |||||||
\(678\) | −13.1811 | − | 6.71610i | −0.506217 | − | 0.257930i | ||||
\(679\) | 4.33030 | − | 13.3273i | 0.166182 | − | 0.511455i | ||||
\(680\) | −7.82395 | − | 8.69467i | −0.300035 | − | 0.333425i | ||||
\(681\) | 6.89132i | 0.264076i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −25.0400 | − | 25.0400i | −0.958127 | − | 0.958127i | 0.0410307 | − | 0.999158i | \(-0.486936\pi\) |
−0.999158 | + | 0.0410307i | \(0.986936\pi\) | |||||||
\(684\) | 1.51075 | + | 1.09762i | 0.0577648 | + | 0.0419686i | ||||
\(685\) | −7.15186 | − | 26.7235i | −0.273258 | − | 1.02105i | ||||
\(686\) | 7.19711 | + | 22.1504i | 0.274787 | + | 0.845707i | ||||
\(687\) | −2.55238 | + | 16.1151i | −0.0973794 | + | 0.614829i | ||||
\(688\) | 4.78058 | − | 30.1834i | 0.182258 | − | 1.15073i | ||||
\(689\) | 2.59779 | + | 7.99518i | 0.0989679 | + | 0.304592i | ||||
\(690\) | −1.95546 | − | 7.30672i | −0.0744430 | − | 0.278162i | ||||
\(691\) | 1.45608 | + | 1.05790i | 0.0553918 | + | 0.0402445i | 0.615137 | − | 0.788421i | \(-0.289101\pi\) |
−0.559745 | + | 0.828665i | \(0.689101\pi\) | |||||||
\(692\) | −0.456241 | − | 0.456241i | −0.0173437 | − | 0.0173437i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 44.2510i | 1.67974i | ||||||||
\(695\) | −1.50975 | − | 1.67777i | −0.0572680 | − | 0.0636413i | ||||
\(696\) | 0.699307 | − | 2.15225i | 0.0265072 | − | 0.0815807i | ||||
\(697\) | −0.991891 | − | 0.505394i | −0.0375705 | − | 0.0191431i | ||||
\(698\) | −30.9378 | − | 4.90006i | −1.17101 | − | 0.185470i | ||||
\(699\) | 2.50075 | − | 1.81690i | 0.0945869 | − | 0.0687214i | ||||
\(700\) | 1.97513 | + | 2.44210i | 0.0746529 | + | 0.0923029i | ||||
\(701\) | −16.9432 | − | 5.50518i | −0.639936 | − | 0.207928i | −0.0289647 | − | 0.999580i | \(-0.509221\pi\) |
−0.610972 | + | 0.791653i | \(0.709221\pi\) | |||||||
\(702\) | −5.92133 | + | 0.937847i | −0.223486 | + | 0.0353968i | ||||
\(703\) | −18.9468 | + | 18.9468i | −0.714593 | + | 0.714593i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −2.16587 | − | 0.461055i | −0.0815713 | − | 0.0173643i | ||||
\(706\) | −3.44403 | + | 4.74030i | −0.129618 | + | 0.178403i | ||||
\(707\) | 25.4351 | + | 49.9191i | 0.956584 | + | 1.87740i | ||||
\(708\) | −0.524327 | + | 1.02905i | −0.0197054 | + | 0.0386741i | ||||
\(709\) | −5.90573 | − | 8.12854i | −0.221794 | − | 0.305274i | 0.683590 | − | 0.729866i | \(-0.260417\pi\) |
−0.905385 | + | 0.424592i | \(0.860417\pi\) | |||||||
\(710\) | 26.2886 | + | 10.1004i | 0.986594 | + | 0.379061i | ||||
\(711\) | 5.01174 | − | 1.62841i | 0.187955 | − | 0.0610703i | ||||
\(712\) | −33.6817 | + | 17.1617i | −1.26228 | + | 0.643161i | ||||
\(713\) | −0.183827 | − | 1.16064i | −0.00688438 | − | 0.0434663i | ||||
\(714\) | −9.91691 | −0.371131 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0.554298 | 0.0207151 | ||||||||
\(717\) | 0.418410 | + | 2.64173i | 0.0156258 | + | 0.0986574i | ||||
\(718\) | −14.0287 | + | 7.14798i | −0.523546 | + | 0.266760i | ||||
\(719\) | −6.52361 | + | 2.11965i | −0.243290 | + | 0.0790496i | −0.428124 | − | 0.903720i | \(-0.640825\pi\) |
0.184834 | + | 0.982770i | \(0.440825\pi\) | |||||||
\(720\) | −8.96539 | − | 20.1530i | −0.334120 | − | 0.751059i | ||||
\(721\) | 24.9812 | + | 34.3836i | 0.930348 | + | 1.28051i | ||||
\(722\) | −6.99073 | + | 13.7201i | −0.260168 | + | 0.510609i | ||||
\(723\) | 9.60405 | + | 18.8490i | 0.357179 | + | 0.701002i | ||||
\(724\) | 0.529633 | − | 0.728977i | 0.0196836 | − | 0.0270922i | ||||
\(725\) | 4.57485 | + | 2.04017i | 0.169906 | + | 0.0757702i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −25.2212 | + | 25.2212i | −0.935401 | + | 0.935401i | −0.998036 | − | 0.0626351i | \(-0.980050\pi\) |
0.0626351 | + | 0.998036i | \(0.480050\pi\) | |||||||
\(728\) | 10.4576 | − | 1.65633i | 0.387586 | − | 0.0613876i | ||||
\(729\) | −3.37765 | − | 1.09747i | −0.125098 | − | 0.0406469i | ||||
\(730\) | 1.86557 | + | 17.8016i | 0.0690478 | + | 0.658865i | ||||
\(731\) | −11.1465 | + | 8.09842i | −0.412269 | + | 0.299531i | ||||
\(732\) | −0.953493 | − | 0.151018i | −0.0352421 | − | 0.00558180i | ||||
\(733\) | 6.87015 | + | 3.50052i | 0.253755 | + | 0.129295i | 0.576242 | − | 0.817279i | \(-0.304519\pi\) |
−0.322487 | + | 0.946574i | \(0.604519\pi\) | |||||||
\(734\) | −15.6759 | + | 48.2455i | −0.578609 | + | 1.78077i | ||||
\(735\) | −20.0183 | − | 1.05519i | −0.738386 | − | 0.0389214i | ||||
\(736\) | 2.33188i | 0.0859543i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −1.38095 | − | 1.38095i | −0.0508336 | − | 0.0508336i | ||||
\(739\) | −33.0105 | − | 23.9835i | −1.21431 | − | 0.882248i | −0.218695 | − | 0.975793i | \(-0.570180\pi\) |
−0.995615 | + | 0.0935452i | \(0.970180\pi\) | |||||||
\(740\) | −1.58790 | + | 0.424960i | −0.0583722 | + | 0.0156218i | ||||
\(741\) | −1.29346 | − | 3.98087i | −0.0475166 | − | 0.146241i | ||||
\(742\) | −8.77899 | + | 55.4284i | −0.322287 | + | 2.03484i | ||||
\(743\) | −6.94013 | + | 43.8183i | −0.254609 | + | 1.60754i | 0.446703 | + | 0.894682i | \(0.352598\pi\) |
−0.701312 | + | 0.712855i | \(0.747402\pi\) | |||||||
\(744\) | 0.295927 | + | 0.910768i | 0.0108492 | + | 0.0333904i | ||||
\(745\) | 1.36536 | − | 2.36321i | 0.0500227 | − | 0.0865814i | ||||
\(746\) | −16.6122 | − | 12.0695i | −0.608216 | − | 0.441895i | ||||
\(747\) | −3.24412 | − | 3.24412i | −0.118696 | − | 0.118696i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 25.9946i | − | 0.949821i | ||||||
\(750\) | −12.9802 | + | 4.20447i | −0.473968 | + | 0.153526i | ||||
\(751\) | −4.06861 | + | 12.5219i | −0.148466 | + | 0.456931i | −0.997440 | − | 0.0715030i | \(-0.977220\pi\) |
0.848975 | + | 0.528434i | \(0.177220\pi\) | |||||||
\(752\) | 4.53213 | + | 2.30923i | 0.165270 | + | 0.0842091i | ||||
\(753\) | −13.4067 | − | 2.12342i | −0.488569 | − | 0.0773817i | ||||
\(754\) | −1.09985 | + | 0.799086i | −0.0400541 | + | 0.0291010i | ||||
\(755\) | −3.52876 | + | 0.369807i | −0.128425 | + | 0.0134586i | ||||
\(756\) | −2.63939 | − | 0.857590i | −0.0959937 | − | 0.0311902i | ||||
\(757\) | 19.6273 | − | 3.10865i | 0.713365 | − | 0.112986i | 0.210805 | − | 0.977528i | \(-0.432392\pi\) |
0.502560 | + | 0.864542i | \(0.332392\pi\) | |||||||
\(758\) | 27.4703 | − | 27.4703i | 0.997768 | − | 0.997768i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 27.6455 | − | 17.9413i | 1.00281 | − | 0.650799i | ||||
\(761\) | 10.4266 | − | 14.3510i | 0.377964 | − | 0.520222i | −0.577080 | − | 0.816688i | \(-0.695808\pi\) |
0.955044 | + | 0.296465i | \(0.0958079\pi\) | |||||||
\(762\) | 0.642421 | + | 1.26082i | 0.0232724 | + | 0.0456748i | ||||
\(763\) | 38.1200 | − | 74.8148i | 1.38004 | − | 2.70848i | ||||
\(764\) | 1.45006 | + | 1.99584i | 0.0524613 | + | 0.0722068i | ||||
\(765\) | −3.56662 | + | 9.28295i | −0.128951 | + | 0.335626i | ||||
\(766\) | 33.5134 | − | 10.8892i | 1.21089 | − | 0.393442i | ||||
\(767\) | −7.67856 | + | 3.91242i | −0.277257 | + | 0.141269i | ||||
\(768\) | −0.463238 | − | 2.92477i | −0.0167156 | − | 0.105538i | ||||
\(769\) | 33.4001 | 1.20444 | 0.602218 | − | 0.798331i | \(-0.294284\pi\) | ||||
0.602218 | + | 0.798331i | \(0.294284\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.4894 | 0.485810 | ||||||||
\(772\) | −0.395468 | − | 2.49689i | −0.0142332 | − | 0.0898649i | ||||
\(773\) | 34.0020 | − | 17.3249i | 1.22297 | − | 0.623132i | 0.281280 | − | 0.959626i | \(-0.409241\pi\) |
0.941686 | + | 0.336493i | \(0.109241\pi\) | |||||||
\(774\) | −22.9879 | + | 7.46922i | −0.826283 | + | 0.268476i | ||||
\(775\) | −2.07367 | + | 0.439460i | −0.0744885 | + | 0.0157859i | ||||
\(776\) | −5.30207 | − | 7.29767i | −0.190333 | − | 0.261971i | ||||
\(777\) | 7.85885 | − | 15.4239i | 0.281935 | − | 0.553328i | ||||
\(778\) | −5.02171 | − | 9.85565i | −0.180037 | − | 0.353342i | ||||
\(779\) | 1.84369 | − | 2.53762i | 0.0660570 | − | 0.0909197i | ||||
\(780\) | 0.0534639 | − | 0.251154i | 0.00191432 | − | 0.00899276i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 5.53895 | − | 5.53895i | 0.198072 | − | 0.198072i | ||||
\(783\) | −4.37151 | + | 0.692380i | −0.156225 | + | 0.0247436i | ||||
\(784\) | 43.7927 | + | 14.2291i | 1.56403 | + | 0.508183i | ||||
\(785\) | 12.8895 | + | 10.4442i | 0.460046 | + | 0.372769i | ||||
\(786\) | −14.2696 | + | 10.3675i | −0.508980 | + | 0.369795i | ||||
\(787\) | 36.2929 | + | 5.74822i | 1.29370 | + | 0.204902i | 0.765068 | − | 0.643949i | \(-0.222705\pi\) |
0.528632 | + | 0.848851i | \(0.322705\pi\) | |||||||
\(788\) | −1.80947 | − | 0.921971i | −0.0644597 | − | 0.0328438i | ||||
\(789\) | 0.246613 | − | 0.758997i | 0.00877966 | − | 0.0270210i | ||||
\(790\) | −0.394135 | + | 7.47722i | −0.0140227 | + | 0.266027i | ||||
\(791\) | − | 51.0989i | − | 1.81687i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.09361 | − | 5.09361i | −0.180879 | − | 0.180879i | ||||
\(794\) | −27.0025 | − | 19.6185i | −0.958283 | − | 0.696234i | ||||
\(795\) | −14.6376 | − | 8.45695i | −0.519143 | − | 0.299937i | ||||
\(796\) | −0.894133 | − | 2.75186i | −0.0316917 | − | 0.0975371i | ||||
\(797\) | −3.15079 | + | 19.8933i | −0.111607 | + | 0.704657i | 0.866906 | + | 0.498471i | \(0.166105\pi\) |
−0.978513 | + | 0.206186i | \(0.933895\pi\) | |||||||
\(798\) | 4.37114 | − | 27.5983i | 0.154737 | − | 0.976969i | ||||
\(799\) | −0.708659 | − | 2.18103i | −0.0250705 | − | 0.0771592i | ||||
\(800\) | 4.20075 | − | 0.217601i | 0.148519 | − | 0.00769334i | ||||
\(801\) | 26.0013 | + | 18.8910i | 0.918710 | + | 0.667482i | ||||
\(802\) | −25.0253 | − | 25.0253i | −0.883674 | − | 0.883674i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 0.536020i | − | 0.0189040i | ||||||
\(805\) | 19.4212 | − | 17.4763i | 0.684507 | − | 0.615958i | ||||
\(806\) | 0.177776 | − | 0.547138i | 0.00626189 | − | 0.0192721i | ||||
\(807\) | 21.0831 | + | 10.7424i | 0.742159 | + | 0.378149i | ||||
\(808\) | 35.6202 | + | 5.64168i | 1.25311 | + | 0.198474i | ||||
\(809\) | −42.0153 | + | 30.5259i | −1.47718 | + | 1.07323i | −0.498729 | + | 0.866758i | \(0.666200\pi\) |
−0.978452 | + | 0.206477i | \(0.933800\pi\) | |||||||
\(810\) | −6.69281 | + | 8.25981i | −0.235161 | + | 0.290220i | ||||
\(811\) | 37.2555 | + | 12.1050i | 1.30822 | + | 0.425065i | 0.878433 | − | 0.477866i | \(-0.158590\pi\) |
0.429784 | + | 0.902932i | \(0.358590\pi\) | |||||||
\(812\) | −0.621573 | + | 0.0984475i | −0.0218129 | + | 0.00345483i | ||||
\(813\) | −18.1009 | + | 18.1009i | −0.634826 | + | 0.634826i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 18.7569 | + | 28.9022i | 0.657025 | + | 1.01240i | ||||
\(816\) | −4.03334 | + | 5.55141i | −0.141195 | + | 0.194338i | ||||
\(817\) | −17.6244 | − | 34.5898i | −0.616600 | − | 1.21015i | ||||
\(818\) | 3.89724 | − | 7.64877i | 0.136264 | − | 0.267433i | ||||
\(819\) | −5.29123 | − | 7.28275i | −0.184890 | − | 0.254480i | ||||
\(820\) | 0.175812 | − | 0.0782130i | 0.00613964 | − | 0.00273131i | ||||
\(821\) | 23.7731 | − | 7.72435i | 0.829687 | − | 0.269582i | 0.136773 | − | 0.990602i | \(-0.456327\pi\) |
0.692913 | + | 0.721021i | \(0.256327\pi\) | |||||||
\(822\) | −13.4524 | + | 6.85435i | −0.469207 | + | 0.239073i | ||||
\(823\) | 3.59426 | + | 22.6933i | 0.125288 | + | 0.791038i | 0.967682 | + | 0.252175i | \(0.0811459\pi\) |
−0.842393 | + | 0.538863i | \(0.818854\pi\) | |||||||
\(824\) | 27.3580 | 0.953062 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −57.5294 | −2.00170 | ||||||||
\(827\) | 0.866233 | + | 5.46918i | 0.0301219 | + | 0.190182i | 0.998161 | − | 0.0606167i | \(-0.0193067\pi\) |
−0.968039 | + | 0.250799i | \(0.919307\pi\) | |||||||
\(828\) | 0.849066 | − | 0.432621i | 0.0295071 | − | 0.0150346i | ||||
\(829\) | 14.2407 | − | 4.62709i | 0.494601 | − | 0.160706i | −0.0510867 | − | 0.998694i | \(-0.516268\pi\) |
0.545688 | + | 0.837989i | \(0.316268\pi\) | |||||||
\(830\) | 5.95608 | − | 2.64966i | 0.206739 | − | 0.0919710i | ||||
\(831\) | −14.7521 | − | 20.3045i | −0.511745 | − | 0.704356i | ||||
\(832\) | 3.07556 | − | 6.03612i | 0.106626 | − | 0.209265i | ||||
\(833\) | −9.42488 | − | 18.4974i | −0.326553 | − | 0.640896i | ||||
\(834\) | −0.724042 | + | 0.996559i | −0.0250715 | + | 0.0345080i | ||||
\(835\) | 5.05192 | + | 7.78443i | 0.174829 | + | 0.269391i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.32438 | − | 1.32438i | 0.0457773 | − | 0.0457773i | ||||
\(838\) | 16.0137 | − | 2.53632i | 0.553183 | − | 0.0876156i | ||||
\(839\) | −11.9792 | − | 3.89228i | −0.413568 | − | 0.134376i | 0.0948403 | − | 0.995493i | \(-0.469766\pi\) |
−0.508408 | + | 0.861116i | \(0.669766\pi\) | |||||||
\(840\) | −13.4042 | + | 16.5426i | −0.462491 | + | 0.570775i | ||||
\(841\) | 22.6495 | − | 16.4558i | 0.781018 | − | 0.567443i | ||||
\(842\) | −11.3995 | − | 1.80550i | −0.392851 | − | 0.0622215i | ||||
\(843\) | 6.31891 | + | 3.21965i | 0.217635 | + | 0.110891i | ||||
\(844\) | −0.294303 | + | 0.905773i | −0.0101303 | + | 0.0311780i | ||||
\(845\) | −20.1840 | + | 18.1627i | −0.694350 | + | 0.624815i | ||||
\(846\) | − | 4.02315i | − | 0.138319i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 27.4579 | + | 27.4579i | 0.942907 | + | 0.942907i | ||||
\(849\) | −6.42625 | − | 4.66895i | −0.220548 | − | 0.160238i | ||||
\(850\) | −10.4950 | − | 9.46123i | −0.359975 | − | 0.324518i | ||||
\(851\) | 4.22533 | + | 13.0042i | 0.144842 | + | 0.445779i | ||||
\(852\) | 0.166729 | − | 1.05269i | 0.00571204 | − | 0.0360644i | ||||
\(853\) | 7.78622 | − | 49.1602i | 0.266595 | − | 1.68321i | −0.383641 | − | 0.923482i | \(-0.625330\pi\) |
0.650236 | − | 0.759732i | \(-0.274670\pi\) | |||||||
\(854\) | −14.8598 | − | 45.7338i | −0.508493 | − | 1.56498i | ||||
\(855\) | −24.2620 | − | 14.0174i | −0.829741 | − | 0.479386i | ||||
\(856\) | −13.5373 | − | 9.83540i | −0.462694 | − | 0.336167i | ||||
\(857\) | −21.2860 | − | 21.2860i | −0.727117 | − | 0.727117i | 0.242927 | − | 0.970044i | \(-0.421892\pi\) |
−0.970044 | + | 0.242927i | \(0.921892\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.31402i | 0.317790i | 0.987295 | + | 0.158895i | \(0.0507932\pi\) | ||||
−0.987295 | + | 0.158895i | \(0.949207\pi\) | |||||||
\(860\) | 0.125361 | − | 2.37825i | 0.00427478 | − | 0.0810976i | ||||
\(861\) | −0.626199 | + | 1.92724i | −0.0213408 | + | 0.0656802i | ||||
\(862\) | 9.53893 | + | 4.86033i | 0.324897 | + | 0.165543i | ||||
\(863\) | −34.9535 | − | 5.53609i | −1.18983 | − | 0.188451i | −0.470042 | − | 0.882644i | \(-0.655761\pi\) |
−0.719789 | + | 0.694193i | \(0.755761\pi\) | |||||||
\(864\) | −3.00687 | + | 2.18462i | −0.102296 | + | 0.0743223i | ||||
\(865\) | 7.52216 | + | 6.09510i | 0.255761 | + | 0.207240i | ||||
\(866\) | −7.03726 | − | 2.28654i | −0.239136 | − | 0.0776999i | ||||
\(867\) | −10.9222 | + | 1.72990i | −0.370937 | + | 0.0587506i | ||||
\(868\) | 0.188310 | − | 0.188310i | 0.00639166 | − | 0.00639166i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0.569202 | − | 2.67390i | 0.0192978 | − | 0.0906538i | ||||
\(871\) | 2.35095 | − | 3.23580i | 0.0796588 | − | 0.109641i | ||||
\(872\) | −24.5383 | − | 48.1590i | −0.830970 | − | 1.63087i | ||||
\(873\) | −3.48175 | + | 6.83331i | −0.117839 | + | 0.231273i | ||||
\(874\) | 12.9732 | + | 17.8561i | 0.438825 | + | 0.603991i | ||||
\(875\) | −33.2948 | − | 33.3554i | −1.12557 | − | 1.12762i | ||||
\(876\) | 0.644242 | − | 0.209327i | 0.0217669 | − | 0.00707250i | ||||
\(877\) | −19.4768 | + | 9.92391i | −0.657684 | + | 0.335107i | −0.750782 | − | 0.660550i | \(-0.770323\pi\) |
0.0930980 | + | 0.995657i | \(0.470323\pi\) | |||||||
\(878\) | 0.297613 | + | 1.87906i | 0.0100440 | + | 0.0634151i | ||||
\(879\) | −1.92089 | −0.0647901 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 46.4810 | 1.56599 | 0.782993 | − | 0.622031i | \(-0.213692\pi\) | ||||
0.782993 | + | 0.622031i | \(0.213692\pi\) | |||||||
\(882\) | −5.69735 | − | 35.9717i | −0.191840 | − | 1.21123i | ||||
\(883\) | −24.8801 | + | 12.6771i | −0.837283 | + | 0.426617i | −0.819399 | − | 0.573223i | \(-0.805693\pi\) |
−0.0178835 | + | 0.999840i | \(0.505693\pi\) | |||||||
\(884\) | 0.252912 | − | 0.0821761i | 0.00850635 | − | 0.00276388i | ||||
\(885\) | 6.21534 | − | 16.1769i | 0.208926 | − | 0.543780i | ||||
\(886\) | 13.2704 | + | 18.2651i | 0.445827 | + | 0.613628i | ||||
\(887\) | 3.19618 | − | 6.27285i | 0.107317 | − | 0.210622i | −0.831103 | − | 0.556119i | \(-0.812290\pi\) |
0.938420 | + | 0.345497i | \(0.112290\pi\) | |||||||
\(888\) | −5.05882 | − | 9.92850i | −0.169763 | − | 0.333179i | ||||
\(889\) | −2.87298 | + | 3.95431i | −0.0963566 | + | 0.132623i | ||||
\(890\) | −38.3066 | + | 24.8601i | −1.28404 | + | 0.833313i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.49577 | + | 1.49577i | −0.0500822 | + | 0.0500822i | ||||
\(893\) | 6.38206 | − | 1.01082i | 0.213567 | − | 0.0338258i | ||||
\(894\) | −1.41664 | − | 0.460295i | −0.0473796 | − | 0.0153946i | ||||
\(895\) | −8.27197 | + | 0.866887i | −0.276502 | + | 0.0289768i | ||||
\(896\) | 42.3248 | − | 30.7508i | 1.41397 | − | 1.02731i | ||||
\(897\) | −2.10969 | − | 0.334142i | −0.0704405 | − | 0.0111567i | ||||
\(898\) | 15.8345 | + | 8.06807i | 0.528404 | + | 0.269235i | ||||
\(899\) | 0.131246 | − | 0.403933i | 0.00437729 | − | 0.0134719i | ||||
\(900\) | −0.858573 | − | 1.48917i | −0.0286191 | − | 0.0496391i | ||||
\(901\) | − | 17.5071i | − | 0.583247i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 17.7343 | + | 17.7343i | 0.590160 | + | 0.590160i | ||||
\(904\) | −26.6109 | − | 19.3339i | −0.885065 | − | 0.643037i | ||||
\(905\) | −6.76381 | + | 11.7071i | −0.224837 | + | 0.389156i | ||||
\(906\) | 0.598386 | + | 1.84164i | 0.0198800 | + | 0.0611845i | ||||
\(907\) | 4.62244 | − | 29.1849i | 0.153486 | − | 0.969070i | −0.783928 | − | 0.620852i | \(-0.786787\pi\) |
0.937414 | − | 0.348218i | \(-0.113213\pi\) | |||||||
\(908\) | 0.192980 | − | 1.21843i | 0.00640427 | − | 0.0404350i | ||||
\(909\) | −9.47507 | − | 29.1613i | −0.314268 | − | 0.967218i | ||||
\(910\) | 12.3560 | − | 3.30676i | 0.409596 | − | 0.109618i | ||||
\(911\) | −13.7155 | − | 9.96491i | −0.454416 | − | 0.330152i | 0.336921 | − | 0.941533i | \(-0.390614\pi\) |
−0.791337 | + | 0.611381i | \(0.790614\pi\) | |||||||
\(912\) | −13.6715 | − | 13.6715i | −0.452709 | − | 0.452709i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 5.14655i | − | 0.170233i | ||||||
\(915\) | 14.4655 | + | 0.762496i | 0.478214 | + | 0.0252073i | ||||
\(916\) | 0.902553 | − | 2.77777i | 0.0298212 | − | 0.0917802i | ||||
\(917\) | −54.2845 | − | 27.6593i | −1.79263 | − | 0.913391i | ||||
\(918\) | 12.3314 | + | 1.95311i | 0.406998 | + | 0.0644621i | ||||
\(919\) | −4.06377 | + | 2.95250i | −0.134051 | + | 0.0973940i | −0.652790 | − | 0.757539i | \(-0.726402\pi\) |
0.518739 | + | 0.854933i | \(0.326402\pi\) | |||||||
\(920\) | −1.75289 | − | 16.7264i | −0.0577912 | − | 0.551453i | ||||
\(921\) | −13.9550 | − | 4.53426i | −0.459833 | − | 0.149409i | ||||
\(922\) | 7.89595 | − | 1.25059i | 0.260039 | − | 0.0411861i | ||||
\(923\) | 5.62351 | − | 5.62351i | 0.185100 | − | 0.185100i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 23.0321 | − | 8.82519i | 0.757290 | − | 0.290170i | ||||
\(926\) | 18.7657 | − | 25.8287i | 0.616678 | − | 0.848784i | ||||
\(927\) | −10.5598 | − | 20.7247i | −0.346829 | − | 0.680690i | ||||
\(928\) | −0.382630 | + | 0.750954i | −0.0125605 | + | 0.0246513i | ||||
\(929\) | −6.94350 | − | 9.55691i | −0.227809 | − | 0.313552i | 0.679777 | − | 0.733419i | \(-0.262077\pi\) |
−0.907586 | + | 0.419867i | \(0.862077\pi\) | |||||||
\(930\) | 0.470222 | + | 1.05700i | 0.0154192 | + | 0.0346603i | ||||
\(931\) | 55.6316 | − | 18.0758i | 1.82325 | − | 0.592411i | ||||
\(932\) | −0.493026 | + | 0.251210i | −0.0161496 | + | 0.00822864i | ||||
\(933\) | −1.96820 | − | 12.4267i | −0.0644360 | − | 0.406833i | ||||
\(934\) | −21.5258 | −0.704346 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −5.79466 | −0.189405 | ||||||||
\(937\) | 0.358566 | + | 2.26390i | 0.0117138 | + | 0.0739583i | 0.992853 | − | 0.119346i | \(-0.0380797\pi\) |
−0.981139 | + | 0.193304i | \(0.938080\pi\) | |||||||
\(938\) | 23.7901 | − | 12.1216i | 0.776773 | − | 0.395786i | ||||
\(939\) | −20.6769 | + | 6.71835i | −0.674767 | + | 0.219245i | ||||
\(940\) | 0.370027 | + | 0.142169i | 0.0120690 | + | 0.00463704i | ||||
\(941\) | 1.04233 | + | 1.43465i | 0.0339791 | + | 0.0467683i | 0.825669 | − | 0.564156i | \(-0.190798\pi\) |
−0.791689 | + | 0.610924i | \(0.790798\pi\) | |||||||
\(942\) | 4.11048 | − | 8.06727i | 0.133927 | − | 0.262846i | ||||
\(943\) | −0.726679 | − | 1.42619i | −0.0236639 | − | 0.0464431i | ||||
\(944\) | −23.3979 | + | 32.2045i | −0.761538 | + | 1.04817i | ||||
\(945\) | 40.7297 | + | 8.67026i | 1.32494 | + | 0.282043i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −8.63289 | + | 8.63289i | −0.280531 | + | 0.280531i | −0.833321 | − | 0.552790i | \(-0.813563\pi\) |
0.552790 | + | 0.833321i | \(0.313563\pi\) | |||||||
\(948\) | 0.279882 | − | 0.0443289i | 0.00909014 | − | 0.00143974i | ||||
\(949\) | 4.80720 | + | 1.56195i | 0.156048 | + | 0.0507031i | ||||
\(950\) | 30.9561 | − | 25.0367i | 1.00435 | − | 0.812299i | ||||
\(951\) | −19.0780 | + | 13.8610i | −0.618646 | + | 0.449473i | ||||
\(952\) | −21.7785 | − | 3.44937i | −0.705845 | − | 0.111795i | ||||
\(953\) | 16.4251 | + | 8.36901i | 0.532061 | + | 0.271099i | 0.699313 | − | 0.714815i | \(-0.253489\pi\) |
−0.167252 | + | 0.985914i | \(0.553489\pi\) | |||||||
\(954\) | 9.49093 | − | 29.2101i | 0.307280 | − | 0.945711i | ||||
\(955\) | −24.7611 | − | 27.5167i | −0.801249 | − | 0.890420i | ||||
\(956\) | − | 0.478792i | − | 0.0154852i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.09348 | − | 5.09348i | −0.164563 | − | 0.164563i | ||||
\(959\) | −42.1908 | − | 30.6534i | −1.36241 | − | 0.989850i | ||||
\(960\) | 3.52189 | + | 13.1598i | 0.113669 | + | 0.424732i | ||||
\(961\) | −9.52399 | − | 29.3118i | −0.307225 | − | 0.945543i | ||||
\(962\) | −1.04719 | + | 6.61168i | −0.0337627 | + | 0.213169i | ||||
\(963\) | −2.22551 | + | 14.0513i | −0.0717160 | + | 0.452797i | ||||
\(964\) | −1.17022 | − | 3.60157i | −0.0376902 | − | 0.115999i | ||||
\(965\) | 9.80667 | + | 36.6434i | 0.315688 | + | 1.17959i | ||||
\(966\) | −11.5358 | − | 8.38124i | −0.371158 | − | 0.269662i | ||||
\(967\) | −9.49113 | − | 9.49113i | −0.305214 | − | 0.305214i | 0.537836 | − | 0.843050i | \(-0.319242\pi\) |
−0.843050 | + | 0.537836i | \(0.819242\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.71697i | 0.280029i | ||||||||
\(970\) | −7.28912 | − | 8.10032i | −0.234039 | − | 0.260086i | ||||
\(971\) | 15.8279 | − | 48.7132i | 0.507941 | − | 1.56328i | −0.287829 | − | 0.957682i | \(-0.592933\pi\) |
0.795770 | − | 0.605599i | \(-0.207067\pi\) | |||||||
\(972\) | 2.11830 | + | 1.07933i | 0.0679445 | + | 0.0346195i | ||||
\(973\) | −4.20248 | − | 0.665608i | −0.134725 | − | 0.0213384i | ||||
\(974\) | 12.7345 | − | 9.25218i | 0.408041 | − | 0.296459i | ||||
\(975\) | −0.405071 | + | 3.83167i | −0.0129727 | + | 0.122712i | ||||
\(976\) | −31.6451 | − | 10.2821i | −1.01294 | − | 0.329123i | ||||
\(977\) | −14.3020 | + | 2.26522i | −0.457562 | + | 0.0724707i | −0.380961 | − | 0.924591i | \(-0.624407\pi\) |
−0.0766009 | + | 0.997062i | \(0.524407\pi\) | |||||||
\(978\) | 13.2967 | − | 13.2967i | 0.425183 | − | 0.425183i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 3.50981 | + | 0.747144i | 0.112117 | + | 0.0238666i | ||||
\(981\) | −27.0109 | + | 37.1773i | −0.862392 | + | 1.18698i | ||||
\(982\) | 2.16700 | + | 4.25299i | 0.0691519 | + | 0.135718i | ||||
\(983\) | −26.1259 | + | 51.2750i | −0.833288 | + | 1.63542i | −0.0627455 | + | 0.998030i | \(0.519986\pi\) |
−0.770542 | + | 0.637389i | \(0.780014\pi\) | |||||||
\(984\) | 0.766724 | + | 1.05531i | 0.0244423 | + | 0.0336419i | ||||
\(985\) | 28.4452 | + | 10.9290i | 0.906340 | + | 0.348226i | ||||
\(986\) | 2.69262 | − | 0.874885i | 0.0857504 | − | 0.0278620i | ||||
\(987\) | −3.71948 | + | 1.89517i | −0.118392 | + | 0.0603240i | ||||
\(988\) | 0.117215 | + | 0.740064i | 0.00372909 | + | 0.0235446i | ||||
\(989\) | −19.8105 | −0.629936 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 13.1102 | 0.416458 | 0.208229 | − | 0.978080i | \(-0.433230\pi\) | ||||
0.208229 | + | 0.978080i | \(0.433230\pi\) | |||||||
\(992\) | −0.0557932 | − | 0.352264i | −0.00177143 | − | 0.0111844i | ||||
\(993\) | −18.2805 | + | 9.31438i | −0.580114 | + | 0.295583i | ||||
\(994\) | 50.4916 | − | 16.4057i | 1.60150 | − | 0.520358i | ||||
\(995\) | 17.6472 | + | 39.6685i | 0.559453 | + | 1.25758i | ||||
\(996\) | −0.145012 | − | 0.199592i | −0.00459487 | − | 0.00632430i | ||||
\(997\) | −1.02370 | + | 2.00913i | −0.0324210 | + | 0.0636299i | −0.906649 | − | 0.421886i | \(-0.861368\pi\) |
0.874228 | + | 0.485516i | \(0.161368\pi\) | |||||||
\(998\) | 5.95105 | + | 11.6796i | 0.188377 | + | 0.369711i | ||||
\(999\) | −12.8100 | + | 17.6314i | −0.405289 | + | 0.557833i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))