Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [847,2,Mod(9,847)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(847, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("847.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 847 = 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 847.n (of order \(15\), 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: | \(6.76332905120\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 487.1 | ||
Character | \(\chi\) | \(=\) | 847.487 |
Dual form | 847.2.n.e.807.1 |
$q$-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 \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(365\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.27552 | − | 1.01313i | −1.60903 | − | 0.716388i | −0.611821 | − | 0.790996i | \(-0.709563\pi\) |
−0.997213 | + | 0.0746086i | \(0.976229\pi\) | |||||||
\(3\) | 0.697945 | + | 0.148353i | 0.402959 | + | 0.0856516i | 0.404933 | − | 0.914346i | \(-0.367295\pi\) |
−0.00197376 | + | 0.999998i | \(0.500628\pi\) | |||||||
\(4\) | 2.81329 | + | 3.12448i | 1.40665 | + | 1.56224i | ||||
\(5\) | −0.230423 | + | 2.19233i | −0.103048 | + | 0.980438i | 0.813785 | + | 0.581167i | \(0.197404\pi\) |
−0.916833 | + | 0.399271i | \(0.869263\pi\) | |||||||
\(6\) | −1.43789 | − | 1.04469i | −0.587015 | − | 0.426491i | ||||
\(7\) | −2.62811 | + | 0.304997i | −0.993333 | + | 0.115278i | ||||
\(8\) | −1.69677 | − | 5.22212i | −0.599899 | − | 1.84630i | ||||
\(9\) | −2.27552 | − | 1.01313i | −0.758506 | − | 0.337709i | ||||
\(10\) | 2.74543 | − | 4.75523i | 0.868182 | − | 1.50373i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.50000 | + | 2.59808i | 0.433013 | + | 0.750000i | ||||
\(13\) | 2.65880 | − | 1.93173i | 0.737419 | − | 0.535767i | −0.154482 | − | 0.987996i | \(-0.549371\pi\) |
0.891902 | + | 0.452229i | \(0.149371\pi\) | |||||||
\(14\) | 6.28932 | + | 1.96858i | 1.68089 | + | 0.526126i | ||||
\(15\) | −0.486060 | + | 1.49594i | −0.125500 | + | 0.386250i | ||||
\(16\) | −0.550676 | + | 5.23933i | −0.137669 | + | 1.30983i | ||||
\(17\) | 1.36197 | − | 0.606389i | 0.330327 | − | 0.147071i | −0.234871 | − | 0.972027i | \(-0.575467\pi\) |
0.565197 | + | 0.824956i | \(0.308800\pi\) | |||||||
\(18\) | 4.15155 | + | 4.61077i | 0.978531 | + | 1.08677i | ||||
\(19\) | −4.62901 | + | 5.14103i | −1.06197 | + | 1.17943i | −0.0787682 | + | 0.996893i | \(0.525099\pi\) |
−0.983198 | + | 0.182540i | \(0.941568\pi\) | |||||||
\(20\) | −7.49812 | + | 5.44770i | −1.67663 | + | 1.21814i | ||||
\(21\) | −1.87953 | − | 0.177017i | −0.410146 | − | 0.0386283i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.24543 | − | 5.62125i | −0.676719 | − | 1.17211i | −0.975963 | − | 0.217936i | \(-0.930068\pi\) |
0.299244 | − | 0.954177i | \(-0.403266\pi\) | |||||||
\(24\) | −0.409536 | − | 3.89648i | −0.0835962 | − | 0.795365i | ||||
\(25\) | 0.137541 | + | 0.0292353i | 0.0275082 | + | 0.00584705i | ||||
\(26\) | −8.00724 | + | 1.70199i | −1.57035 | + | 0.333788i | ||||
\(27\) | −3.16968 | − | 2.30291i | −0.610005 | − | 0.443195i | ||||
\(28\) | −8.34661 | − | 7.35344i | −1.57736 | − | 1.38967i | ||||
\(29\) | −0.509801 | + | 1.56901i | −0.0946676 | + | 0.291357i | −0.987167 | − | 0.159692i | \(-0.948950\pi\) |
0.892499 | + | 0.451049i | \(0.148950\pi\) | |||||||
\(30\) | 2.62161 | − | 2.91160i | 0.478639 | − | 0.531582i | ||||
\(31\) | 0.245668 | + | 2.33737i | 0.0441233 | + | 0.419805i | 0.994180 | + | 0.107729i | \(0.0343578\pi\) |
−0.950057 | + | 0.312076i | \(0.898976\pi\) | |||||||
\(32\) | 1.07031 | − | 1.85383i | 0.189205 | − | 0.327713i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.71354 | −0.636867 | ||||||||
\(35\) | −0.0630756 | − | 5.83196i | −0.0106617 | − | 0.985781i | ||||
\(36\) | −3.23621 | − | 9.96003i | −0.539368 | − | 1.66000i | ||||
\(37\) | 5.43327 | − | 1.15488i | 0.893224 | − | 0.189861i | 0.261638 | − | 0.965166i | \(-0.415737\pi\) |
0.631586 | + | 0.775306i | \(0.282404\pi\) | |||||||
\(38\) | 15.7419 | − | 7.00874i | 2.55367 | − | 1.13697i | ||||
\(39\) | 2.14228 | − | 0.953804i | 0.343039 | − | 0.152731i | ||||
\(40\) | 11.8396 | − | 2.51658i | 1.87200 | − | 0.397906i | ||||
\(41\) | −3.47642 | − | 10.6993i | −0.542925 | − | 1.67095i | −0.725873 | − | 0.687828i | \(-0.758564\pi\) |
0.182948 | − | 0.983123i | \(-0.441436\pi\) | |||||||
\(42\) | 4.09755 | + | 2.30700i | 0.632266 | + | 0.355978i | ||||
\(43\) | 5.26819 | 0.803391 | 0.401696 | − | 0.915773i | \(-0.368421\pi\) | ||||
0.401696 | + | 0.915773i | \(0.368421\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.74543 | − | 4.75523i | 0.409265 | − | 0.708867i | ||||
\(46\) | 1.69000 | + | 16.0793i | 0.249177 | + | 2.37076i | ||||
\(47\) | 0.997582 | − | 1.10793i | 0.145512 | − | 0.161608i | −0.665983 | − | 0.745967i | \(-0.731988\pi\) |
0.811495 | + | 0.584359i | \(0.198654\pi\) | |||||||
\(48\) | −1.16161 | + | 3.57507i | −0.167664 | + | 0.516017i | ||||
\(49\) | 6.81395 | − | 1.60313i | 0.973422 | − | 0.229019i | ||||
\(50\) | −0.283358 | − | 0.205872i | −0.0400729 | − | 0.0291147i | ||||
\(51\) | 1.04054 | − | 0.221174i | 0.145705 | − | 0.0309705i | ||||
\(52\) | 13.5157 | + | 2.87284i | 1.87428 | + | 0.398391i | ||||
\(53\) | −0.0318535 | − | 0.303065i | −0.00437541 | − | 0.0416292i | 0.992116 | − | 0.125320i | \(-0.0399958\pi\) |
−0.996492 | + | 0.0836909i | \(0.973329\pi\) | |||||||
\(54\) | 4.87953 | + | 8.45159i | 0.664019 | + | 1.15012i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 6.05203 | + | 13.2068i | 0.808737 | + | 1.76483i | ||||
\(57\) | −3.99348 | + | 2.90143i | −0.528949 | + | 0.384304i | ||||
\(58\) | 2.74966 | − | 3.05381i | 0.361048 | − | 0.400985i | ||||
\(59\) | −8.47034 | − | 9.40726i | −1.10274 | − | 1.22472i | −0.972417 | − | 0.233250i | \(-0.925064\pi\) |
−0.130327 | − | 0.991471i | \(-0.541603\pi\) | |||||||
\(60\) | −6.04146 | + | 2.68983i | −0.779950 | + | 0.347256i | ||||
\(61\) | 1.35696 | − | 12.9106i | 0.173741 | − | 1.65303i | −0.466251 | − | 0.884653i | \(-0.654396\pi\) |
0.639992 | − | 0.768382i | \(-0.278938\pi\) | |||||||
\(62\) | 1.80903 | − | 5.56763i | 0.229747 | − | 0.707090i | ||||
\(63\) | 6.28932 | + | 1.96858i | 0.792379 | + | 0.248018i | ||||
\(64\) | 4.21045 | − | 3.05907i | 0.526306 | − | 0.382384i | ||||
\(65\) | 3.62234 | + | 6.27408i | 0.449296 | + | 0.778204i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.28646 | − | 3.96027i | 0.279336 | − | 0.483824i | −0.691884 | − | 0.722009i | \(-0.743219\pi\) |
0.971220 | + | 0.238185i | \(0.0765524\pi\) | |||||||
\(68\) | 5.72628 | + | 2.54950i | 0.694413 | + | 0.309173i | ||||
\(69\) | −1.43121 | − | 4.40480i | −0.172297 | − | 0.530275i | ||||
\(70\) | −5.76498 | + | 13.3346i | −0.689046 | + | 1.59379i | ||||
\(71\) | −9.16353 | − | 6.65769i | −1.08751 | − | 0.790123i | −0.108533 | − | 0.994093i | \(-0.534615\pi\) |
−0.978977 | + | 0.203970i | \(0.934615\pi\) | |||||||
\(72\) | −1.42963 | + | 13.6021i | −0.168484 | + | 1.60302i | ||||
\(73\) | −5.73290 | − | 6.36703i | −0.670986 | − | 0.745205i | 0.307494 | − | 0.951550i | \(-0.400510\pi\) |
−0.978479 | + | 0.206345i | \(0.933843\pi\) | |||||||
\(74\) | −13.5335 | − | 2.87664i | −1.57324 | − | 0.334403i | ||||
\(75\) | 0.0916590 | + | 0.0408092i | 0.0105839 | + | 0.00471224i | ||||
\(76\) | −29.0858 | −3.33637 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −5.84111 | −0.661376 | ||||||||
\(79\) | 4.23107 | + | 1.88379i | 0.476032 | + | 0.211943i | 0.630705 | − | 0.776023i | \(-0.282766\pi\) |
−0.154673 | + | 0.987966i | \(0.549432\pi\) | |||||||
\(80\) | −11.3594 | − | 2.41452i | −1.27002 | − | 0.269952i | ||||
\(81\) | 3.12952 | + | 3.47568i | 0.347724 | + | 0.386187i | ||||
\(82\) | −2.92910 | + | 27.8685i | −0.323465 | + | 3.07756i | ||||
\(83\) | 1.56643 | + | 1.13808i | 0.171938 | + | 0.124920i | 0.670426 | − | 0.741976i | \(-0.266111\pi\) |
−0.498488 | + | 0.866896i | \(0.666111\pi\) | |||||||
\(84\) | −4.73457 | − | 6.37054i | −0.516584 | − | 0.695083i | ||||
\(85\) | 1.01557 | + | 3.12561i | 0.110154 | + | 0.339020i | ||||
\(86\) | −11.9879 | − | 5.33734i | −1.29268 | − | 0.575540i | ||||
\(87\) | −0.588580 | + | 1.01945i | −0.0631024 | + | 0.109297i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.60220 | − | 2.77509i | −0.169833 | − | 0.294159i | 0.768528 | − | 0.639816i | \(-0.220989\pi\) |
−0.938361 | + | 0.345657i | \(0.887656\pi\) | |||||||
\(90\) | −11.0649 | + | 8.03913i | −1.16634 | + | 0.847399i | ||||
\(91\) | −6.39846 | + | 5.88774i | −0.670741 | + | 0.617203i | ||||
\(92\) | 8.43313 | − | 25.9545i | 0.879215 | − | 2.70595i | ||||
\(93\) | −0.175293 | + | 1.66781i | −0.0181771 | + | 0.172943i | ||||
\(94\) | −3.39249 | + | 1.51043i | −0.349908 | + | 0.155789i | ||||
\(95\) | −10.2042 | − | 11.3329i | −1.04693 | − | 1.16273i | ||||
\(96\) | 1.02204 | − | 1.13509i | 0.104311 | − | 0.115849i | ||||
\(97\) | −1.50428 | + | 1.09292i | −0.152736 | + | 0.110969i | −0.661529 | − | 0.749920i | \(-0.730092\pi\) |
0.508793 | + | 0.860889i | \(0.330092\pi\) | |||||||
\(98\) | −17.1294 | − | 3.25544i | −1.73034 | − | 0.328849i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.295598 | + | 0.511992i | 0.0295598 | + | 0.0511992i | ||||
\(101\) | −0.631928 | − | 6.01240i | −0.0628792 | − | 0.598256i | −0.979910 | − | 0.199440i | \(-0.936088\pi\) |
0.917031 | − | 0.398816i | \(-0.130579\pi\) | |||||||
\(102\) | −2.59185 | − | 0.550914i | −0.256631 | − | 0.0545486i | ||||
\(103\) | 1.04054 | − | 0.221174i | 0.102528 | − | 0.0217929i | −0.156362 | − | 0.987700i | \(-0.549977\pi\) |
0.258890 | + | 0.965907i | \(0.416643\pi\) | |||||||
\(104\) | −14.5991 | − | 10.6069i | −1.43156 | − | 1.04009i | ||||
\(105\) | 0.821164 | − | 4.07975i | 0.0801374 | − | 0.398142i | ||||
\(106\) | −0.234560 | + | 0.721902i | −0.0227825 | + | 0.0701173i | ||||
\(107\) | −4.23692 | + | 4.70558i | −0.409598 | + | 0.454905i | −0.912280 | − | 0.409566i | \(-0.865680\pi\) |
0.502682 | + | 0.864471i | \(0.332347\pi\) | |||||||
\(108\) | −1.72185 | − | 16.3824i | −0.165686 | − | 1.57639i | ||||
\(109\) | 1.40694 | − | 2.43688i | 0.134760 | − | 0.233411i | −0.790746 | − | 0.612145i | \(-0.790307\pi\) |
0.925506 | + | 0.378734i | \(0.123640\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.96345 | 0.376194 | ||||||||
\(112\) | −0.150741 | − | 13.9375i | −0.0142437 | − | 1.31697i | ||||
\(113\) | −3.94115 | − | 12.1296i | −0.370752 | − | 1.14106i | −0.946300 | − | 0.323289i | \(-0.895211\pi\) |
0.575548 | − | 0.817768i | \(-0.304789\pi\) | |||||||
\(114\) | 12.0267 | − | 2.55636i | 1.12641 | − | 0.239425i | ||||
\(115\) | 13.0714 | − | 5.81978i | 1.21892 | − | 0.542697i | ||||
\(116\) | −6.33655 | + | 2.82121i | −0.588333 | + | 0.261943i | ||||
\(117\) | −8.00724 | + | 1.70199i | −0.740270 | + | 0.157349i | ||||
\(118\) | 9.74366 | + | 29.9879i | 0.896977 | + | 2.76061i | ||||
\(119\) | −3.39447 | + | 2.00906i | −0.311170 | + | 0.184170i | ||||
\(120\) | 8.63671 | 0.788420 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −16.1679 | + | 28.0035i | −1.46377 | + | 2.53532i | ||||
\(123\) | −0.839075 | − | 7.98327i | −0.0756569 | − | 0.719827i | ||||
\(124\) | −6.61194 | + | 7.34331i | −0.593770 | + | 0.659448i | ||||
\(125\) | −3.50177 | + | 10.7774i | −0.313208 | + | 0.963956i | ||||
\(126\) | −12.3170 | − | 10.8514i | −1.09729 | − | 0.966720i | ||||
\(127\) | 10.0136 | + | 7.27531i | 0.888563 | + | 0.645579i | 0.935503 | − | 0.353319i | \(-0.114947\pi\) |
−0.0469396 | + | 0.998898i | \(0.514947\pi\) | |||||||
\(128\) | −16.8678 | + | 3.58537i | −1.49092 | + | 0.316905i | ||||
\(129\) | 3.67691 | + | 0.781551i | 0.323734 | + | 0.0688117i | ||||
\(130\) | −1.88627 | − | 17.9467i | −0.165437 | − | 1.57403i | ||||
\(131\) | −0.379526 | − | 0.657359i | −0.0331594 | − | 0.0574337i | 0.848969 | − | 0.528442i | \(-0.177224\pi\) |
−0.882129 | + | 0.471008i | \(0.843890\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.5975 | − | 14.9230i | 0.918924 | − | 1.29399i | ||||
\(134\) | −9.21513 | + | 6.69519i | −0.796066 | + | 0.578376i | ||||
\(135\) | 5.77909 | − | 6.41833i | 0.497385 | − | 0.552402i | ||||
\(136\) | −5.47759 | − | 6.08348i | −0.469699 | − | 0.521654i | ||||
\(137\) | −5.33612 | + | 2.37579i | −0.455896 | + | 0.202978i | −0.621819 | − | 0.783161i | \(-0.713606\pi\) |
0.165924 | + | 0.986139i | \(0.446940\pi\) | |||||||
\(138\) | −1.20588 | + | 11.4732i | −0.102651 | + | 0.976662i | ||||
\(139\) | −1.72213 | + | 5.30017i | −0.146069 | + | 0.449554i | −0.997147 | − | 0.0754852i | \(-0.975949\pi\) |
0.851078 | + | 0.525039i | \(0.175949\pi\) | |||||||
\(140\) | 18.0444 | − | 16.6041i | 1.52503 | − | 1.40330i | ||||
\(141\) | 0.860622 | − | 0.625279i | 0.0724775 | − | 0.0526580i | ||||
\(142\) | 14.1067 | + | 24.4335i | 1.18381 | + | 2.05041i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 6.56117 | − | 11.3643i | 0.546764 | − | 0.947023i | ||||
\(145\) | −3.32230 | − | 1.47918i | −0.275902 | − | 0.122840i | ||||
\(146\) | 6.59472 | + | 20.2964i | 0.545783 | + | 1.67975i | ||||
\(147\) | 4.99360 | − | 0.108029i | 0.411865 | − | 0.00891010i | ||||
\(148\) | 18.8938 | + | 13.7271i | 1.55306 | + | 1.12836i | ||||
\(149\) | 0.104528 | − | 0.994522i | 0.00856331 | − | 0.0814744i | −0.989406 | − | 0.145178i | \(-0.953625\pi\) |
0.997969 | + | 0.0637035i | \(0.0202912\pi\) | |||||||
\(150\) | −0.167227 | − | 0.185724i | −0.0136540 | − | 0.0151643i | ||||
\(151\) | −14.5168 | − | 3.08564i | −1.18136 | − | 0.251106i | −0.424958 | − | 0.905213i | \(-0.639711\pi\) |
−0.756402 | + | 0.654107i | \(0.773045\pi\) | |||||||
\(152\) | 34.7014 | + | 15.4501i | 2.81466 | + | 1.25317i | ||||
\(153\) | −3.71354 | −0.300222 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.18089 | −0.416139 | ||||||||
\(156\) | 9.00700 | + | 4.01017i | 0.721137 | + | 0.321071i | ||||
\(157\) | −6.25088 | − | 1.32867i | −0.498875 | − | 0.106039i | −0.0483995 | − | 0.998828i | \(-0.515412\pi\) |
−0.450475 | + | 0.892789i | \(0.648745\pi\) | |||||||
\(158\) | −7.71934 | − | 8.57320i | −0.614118 | − | 0.682047i | ||||
\(159\) | 0.0227287 | − | 0.216249i | 0.00180250 | − | 0.0171496i | ||||
\(160\) | 3.81757 | + | 2.77362i | 0.301805 | + | 0.219274i | ||||
\(161\) | 10.2438 | + | 13.7834i | 0.807327 | + | 1.08629i | ||||
\(162\) | −3.59997 | − | 11.0796i | −0.282840 | − | 0.870493i | ||||
\(163\) | 9.08538 | + | 4.04507i | 0.711622 | + | 0.316834i | 0.730429 | − | 0.682989i | \(-0.239320\pi\) |
−0.0188073 | + | 0.999823i | \(0.505987\pi\) | |||||||
\(164\) | 23.6496 | − | 40.9623i | 1.84672 | − | 3.19862i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.41142 | − | 4.17670i | −0.187163 | − | 0.324175i | ||||
\(167\) | 1.57066 | − | 1.14115i | 0.121542 | − | 0.0883051i | −0.525354 | − | 0.850884i | \(-0.676067\pi\) |
0.646895 | + | 0.762579i | \(0.276067\pi\) | |||||||
\(168\) | 2.26472 | + | 10.1155i | 0.174727 | + | 0.780426i | ||||
\(169\) | −0.679580 | + | 2.09153i | −0.0522754 | + | 0.160887i | ||||
\(170\) | 0.855683 | − | 8.14128i | 0.0656279 | − | 0.624408i | ||||
\(171\) | 15.7419 | − | 7.00874i | 1.20381 | − | 0.535972i | ||||
\(172\) | 14.8210 | + | 16.4603i | 1.13009 | + | 1.25509i | ||||
\(173\) | 4.30406 | − | 4.78014i | 0.327231 | − | 0.363427i | −0.556971 | − | 0.830532i | \(-0.688036\pi\) |
0.884202 | + | 0.467105i | \(0.154703\pi\) | |||||||
\(174\) | 2.37215 | − | 1.72347i | 0.179833 | − | 0.130656i | ||||
\(175\) | −0.370390 | − | 0.0348840i | −0.0279989 | − | 0.00263698i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.51624 | − | 7.82235i | −0.339461 | − | 0.587964i | ||||
\(178\) | 0.834318 | + | 7.93800i | 0.0625348 | + | 0.594978i | ||||
\(179\) | 3.50760 | + | 0.745564i | 0.262170 | + | 0.0557260i | 0.337121 | − | 0.941461i | \(-0.390547\pi\) |
−0.0749510 | + | 0.997187i | \(0.523880\pi\) | |||||||
\(180\) | 22.5813 | − | 4.79981i | 1.68311 | − | 0.357756i | ||||
\(181\) | −9.88082 | − | 7.17884i | −0.734436 | − | 0.533599i | 0.156528 | − | 0.987674i | \(-0.449970\pi\) |
−0.890964 | + | 0.454075i | \(0.849970\pi\) | |||||||
\(182\) | 20.5248 | − | 6.91521i | 1.52140 | − | 0.512589i | ||||
\(183\) | 2.86241 | − | 8.80959i | 0.211595 | − | 0.651224i | ||||
\(184\) | −23.8481 | + | 26.4860i | −1.75811 | + | 1.95257i | ||||
\(185\) | 1.27992 | + | 12.1776i | 0.0941014 | + | 0.895315i | ||||
\(186\) | 2.08858 | − | 3.61753i | 0.153142 | − | 0.265250i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 6.26819 | 0.457155 | ||||||||
\(189\) | 9.03266 | + | 5.08556i | 0.657029 | + | 0.369920i | ||||
\(190\) | 11.7382 | + | 36.1263i | 0.851575 | + | 2.62088i | ||||
\(191\) | −11.8447 | + | 2.51767i | −0.857051 | + | 0.182172i | −0.615423 | − | 0.788197i | \(-0.711015\pi\) |
−0.241628 | + | 0.970369i | \(0.577681\pi\) | |||||||
\(192\) | 3.39249 | − | 1.51043i | 0.244832 | − | 0.109006i | ||||
\(193\) | −10.9077 | + | 4.85641i | −0.785152 | + | 0.349572i | −0.759842 | − | 0.650107i | \(-0.774724\pi\) |
−0.0253099 | + | 0.999680i | \(0.508057\pi\) | |||||||
\(194\) | 4.53027 | − | 0.962938i | 0.325254 | − | 0.0691349i | ||||
\(195\) | 1.59742 | + | 4.91635i | 0.114394 | + | 0.352067i | ||||
\(196\) | 24.1786 | + | 16.7800i | 1.72704 | + | 1.19857i | ||||
\(197\) | 12.1626 | 0.866551 | 0.433275 | − | 0.901262i | \(-0.357358\pi\) | ||||
0.433275 | + | 0.901262i | \(0.357358\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.952451 | + | 1.64969i | −0.0675174 | + | 0.116944i | −0.897808 | − | 0.440387i | \(-0.854841\pi\) |
0.830290 | + | 0.557331i | \(0.188174\pi\) | |||||||
\(200\) | −0.0807055 | − | 0.767862i | −0.00570674 | − | 0.0542960i | ||||
\(201\) | 2.18334 | − | 2.42485i | 0.154001 | − | 0.171036i | ||||
\(202\) | −4.65335 | + | 14.3215i | −0.327408 | + | 1.00766i | ||||
\(203\) | 0.861272 | − | 4.27901i | 0.0604495 | − | 0.300328i | ||||
\(204\) | 3.61840 | + | 2.62892i | 0.253339 | + | 0.184061i | ||||
\(205\) | 24.2574 | − | 5.15607i | 1.69421 | − | 0.360116i | ||||
\(206\) | −2.59185 | − | 0.550914i | −0.180583 | − | 0.0383840i | ||||
\(207\) | 1.69000 | + | 16.0793i | 0.117463 | + | 1.11759i | ||||
\(208\) | 8.65685 | + | 14.9941i | 0.600245 | + | 1.03965i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −6.00187 | + | 8.45159i | −0.414168 | + | 0.583215i | ||||
\(211\) | 13.1422 | − | 9.54838i | 0.904748 | − | 0.657338i | −0.0349331 | − | 0.999390i | \(-0.511122\pi\) |
0.939681 | + | 0.342052i | \(0.111122\pi\) | |||||||
\(212\) | 0.857309 | − | 0.952138i | 0.0588802 | − | 0.0653931i | ||||
\(213\) | −5.40795 | − | 6.00614i | −0.370547 | − | 0.411534i | ||||
\(214\) | 14.4085 | − | 6.41509i | 0.984946 | − | 0.438526i | ||||
\(215\) | −1.21391 | + | 11.5496i | −0.0827880 | + | 0.787675i | ||||
\(216\) | −6.64784 | + | 20.4600i | −0.452328 | + | 1.39212i | ||||
\(217\) | −1.35854 | − | 6.06796i | −0.0922234 | − | 0.411920i | ||||
\(218\) | −5.67038 | + | 4.11977i | −0.384046 | + | 0.279026i | ||||
\(219\) | −3.05669 | − | 5.29434i | −0.206552 | − | 0.357758i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.44983 | − | 4.24324i | 0.164794 | − | 0.285431i | ||||
\(222\) | −9.01891 | − | 4.01548i | −0.605310 | − | 0.269501i | ||||
\(223\) | 0.938344 | + | 2.88793i | 0.0628362 | + | 0.193390i | 0.977546 | − | 0.210721i | \(-0.0675811\pi\) |
−0.914710 | + | 0.404111i | \(0.867581\pi\) | |||||||
\(224\) | −2.24748 | + | 5.19850i | −0.150166 | + | 0.347340i | ||||
\(225\) | −0.283358 | − | 0.205872i | −0.0188905 | − | 0.0137248i | ||||
\(226\) | −3.32066 | + | 31.5940i | −0.220887 | + | 2.10160i | ||||
\(227\) | 12.3448 | + | 13.7103i | 0.819356 | + | 0.909987i | 0.997254 | − | 0.0740617i | \(-0.0235962\pi\) |
−0.177897 | + | 0.984049i | \(0.556930\pi\) | |||||||
\(228\) | −20.3003 | − | 4.31496i | −1.34442 | − | 0.285765i | ||||
\(229\) | −23.2953 | − | 10.3717i | −1.53939 | − | 0.685382i | −0.550614 | − | 0.834760i | \(-0.685606\pi\) |
−0.988780 | + | 0.149378i | \(0.952273\pi\) | |||||||
\(230\) | −35.6404 | −2.35006 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.05855 | 0.594723 | ||||||||
\(233\) | 3.48756 | + | 1.55276i | 0.228477 | + | 0.101725i | 0.517783 | − | 0.855512i | \(-0.326758\pi\) |
−0.289305 | + | 0.957237i | \(0.593424\pi\) | |||||||
\(234\) | 19.9449 | + | 4.23943i | 1.30384 | + | 0.277140i | ||||
\(235\) | 2.19907 | + | 2.44232i | 0.143452 | + | 0.159319i | ||||
\(236\) | 5.56325 | − | 52.9308i | 0.362137 | − | 3.44550i | ||||
\(237\) | 2.67359 | + | 1.94247i | 0.173668 | + | 0.126177i | ||||
\(238\) | 9.75960 | − | 1.13262i | 0.632621 | − | 0.0734167i | ||||
\(239\) | 4.01838 | + | 12.3673i | 0.259927 | + | 0.799973i | 0.992819 | + | 0.119628i | \(0.0381702\pi\) |
−0.732892 | + | 0.680345i | \(0.761830\pi\) | |||||||
\(240\) | −7.57006 | − | 3.37041i | −0.488645 | − | 0.217559i | ||||
\(241\) | 0.225292 | − | 0.390216i | 0.0145123 | − | 0.0251360i | −0.858678 | − | 0.512515i | \(-0.828714\pi\) |
0.873190 | + | 0.487379i | \(0.162047\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.54551 | + | 13.0692i | 0.484045 | + | 0.838391i | ||||
\(244\) | 44.1565 | − | 32.0816i | 2.82683 | − | 2.05381i | ||||
\(245\) | 1.94450 | + | 15.3078i | 0.124229 | + | 0.977980i | ||||
\(246\) | −6.17872 | + | 19.0162i | −0.393941 | + | 1.21243i | ||||
\(247\) | −2.37651 | + | 22.6110i | −0.151214 | + | 1.43870i | ||||
\(248\) | 11.7892 | − | 5.24890i | 0.748616 | − | 0.333305i | ||||
\(249\) | 0.924445 | + | 1.02670i | 0.0585843 | + | 0.0650645i | ||||
\(250\) | 18.8872 | − | 20.9763i | 1.19453 | − | 1.32666i | ||||
\(251\) | −0.904971 | + | 0.657500i | −0.0571213 | + | 0.0415010i | −0.615980 | − | 0.787762i | \(-0.711240\pi\) |
0.558858 | + | 0.829263i | \(0.311240\pi\) | |||||||
\(252\) | 11.5429 | + | 25.1890i | 0.727134 | + | 1.58676i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −15.4153 | − | 26.7001i | −0.967243 | − | 1.67531i | ||||
\(255\) | 0.245121 | + | 2.33217i | 0.0153501 | + | 0.146046i | ||||
\(256\) | 31.8342 | + | 6.76656i | 1.98963 | + | 0.422910i | ||||
\(257\) | 22.3405 | − | 4.74862i | 1.39356 | − | 0.296211i | 0.550864 | − | 0.834595i | \(-0.314298\pi\) |
0.842699 | + | 0.538384i | \(0.180965\pi\) | |||||||
\(258\) | −7.57506 | − | 5.50360i | −0.471603 | − | 0.342639i | ||||
\(259\) | −13.9270 | + | 4.69228i | −0.865382 | + | 0.291564i | ||||
\(260\) | −9.41252 | + | 28.9688i | −0.583740 | + | 1.79657i | ||||
\(261\) | 2.74966 | − | 3.05381i | 0.170200 | − | 0.189026i | ||||
\(262\) | 0.197632 | + | 1.88034i | 0.0122097 | + | 0.116168i | ||||
\(263\) | 4.59568 | − | 7.95995i | 0.283382 | − | 0.490832i | −0.688834 | − | 0.724919i | \(-0.741877\pi\) |
0.972215 | + | 0.234088i | \(0.0752103\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.671758 | 0.0412658 | ||||||||
\(266\) | −39.2338 | + | 23.2210i | −2.40558 | + | 1.42377i | ||||
\(267\) | −0.706556 | − | 2.17455i | −0.0432405 | − | 0.133081i | ||||
\(268\) | 18.8063 | − | 3.99740i | 1.14878 | − | 0.244180i | ||||
\(269\) | −14.2634 | + | 6.35046i | −0.869653 | + | 0.387195i | −0.792534 | − | 0.609827i | \(-0.791239\pi\) |
−0.0771189 | + | 0.997022i | \(0.524572\pi\) | |||||||
\(270\) | −19.6530 | + | 8.75007i | −1.19604 | + | 0.532512i | ||||
\(271\) | −27.1382 | + | 5.76841i | −1.64853 | + | 0.350406i | −0.936208 | − | 0.351447i | \(-0.885690\pi\) |
−0.712322 | + | 0.701853i | \(0.752357\pi\) | |||||||
\(272\) | 2.42707 | + | 7.46974i | 0.147163 | + | 0.452920i | ||||
\(273\) | −5.33924 | + | 3.16009i | −0.323146 | + | 0.191257i | ||||
\(274\) | 14.5494 | 0.878962 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 9.73630 | − | 16.8638i | 0.586056 | − | 1.01508i | ||||
\(277\) | −1.54831 | − | 14.7312i | −0.0930292 | − | 0.885114i | −0.937142 | − | 0.348948i | \(-0.886539\pi\) |
0.844113 | − | 0.536166i | \(-0.180128\pi\) | |||||||
\(278\) | 9.28847 | − | 10.3159i | 0.557085 | − | 0.618706i | ||||
\(279\) | 1.80903 | − | 5.56763i | 0.108304 | − | 0.333325i | ||||
\(280\) | −30.3482 | + | 10.2249i | −1.81365 | + | 0.611053i | ||||
\(281\) | −12.3154 | − | 8.94766i | −0.734675 | − | 0.533773i | 0.156364 | − | 0.987700i | \(-0.450023\pi\) |
−0.891039 | + | 0.453927i | \(0.850023\pi\) | |||||||
\(282\) | −2.59185 | + | 0.550914i | −0.154342 | + | 0.0328065i | ||||
\(283\) | −21.2427 | − | 4.51527i | −1.26275 | − | 0.268405i | −0.472575 | − | 0.881290i | \(-0.656676\pi\) |
−0.790172 | + | 0.612885i | \(0.790009\pi\) | |||||||
\(284\) | −4.97787 | − | 47.3613i | −0.295382 | − | 2.81038i | ||||
\(285\) | −5.44070 | − | 9.42356i | −0.322279 | − | 0.558204i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.3997 | + | 27.0587i | 0.731929 | + | 1.59722i | ||||
\(288\) | −4.31366 | + | 3.13406i | −0.254185 | + | 0.184676i | ||||
\(289\) | −9.88796 | + | 10.9817i | −0.581645 | + | 0.645982i | ||||
\(290\) | 6.06136 | + | 6.73182i | 0.355935 | + | 0.395306i | ||||
\(291\) | −1.21204 | + | 0.539635i | −0.0710510 | + | 0.0316340i | ||||
\(292\) | 3.76533 | − | 35.8247i | 0.220349 | − | 2.09648i | ||||
\(293\) | 3.43861 | − | 10.5830i | 0.200886 | − | 0.618263i | −0.798972 | − | 0.601369i | \(-0.794622\pi\) |
0.999857 | − | 0.0168939i | \(-0.00537775\pi\) | |||||||
\(294\) | −11.4725 | − | 4.81332i | −0.669088 | − | 0.280718i | ||||
\(295\) | 22.5755 | − | 16.4021i | 1.31440 | − | 0.954967i | ||||
\(296\) | −15.2499 | − | 26.4136i | −0.886383 | − | 1.53526i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.24543 | + | 2.15715i | −0.0721459 | + | 0.124960i | ||||
\(299\) | −19.4877 | − | 8.67650i | −1.12700 | − | 0.501775i | ||||
\(300\) | 0.130356 | + | 0.401195i | 0.00752612 | + | 0.0231630i | ||||
\(301\) | −13.8454 | + | 1.60678i | −0.798035 | + | 0.0926133i | ||||
\(302\) | 29.9071 | + | 21.7288i | 1.72096 | + | 1.25035i | ||||
\(303\) | 0.450905 | − | 4.29007i | 0.0259038 | − | 0.246458i | ||||
\(304\) | −24.3865 | − | 27.0839i | −1.39866 | − | 1.55337i | ||||
\(305\) | 27.9916 | + | 5.94980i | 1.60279 | + | 0.340684i | ||||
\(306\) | 8.45022 | + | 3.76228i | 0.483067 | + | 0.215075i | ||||
\(307\) | 24.9855 | 1.42600 | 0.712998 | − | 0.701166i | \(-0.247337\pi\) | ||||
0.712998 | + | 0.701166i | \(0.247337\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.759053 | 0.0431810 | ||||||||
\(310\) | 11.7892 | + | 5.24890i | 0.669582 | + | 0.298117i | ||||
\(311\) | −33.9816 | − | 7.22301i | −1.92692 | − | 0.409580i | −0.999355 | − | 0.0359194i | \(-0.988564\pi\) |
−0.927566 | − | 0.373660i | \(-0.878103\pi\) | |||||||
\(312\) | −8.61583 | − | 9.56885i | −0.487775 | − | 0.541730i | ||||
\(313\) | −2.47831 | + | 23.5796i | −0.140083 | + | 1.33280i | 0.668191 | + | 0.743990i | \(0.267069\pi\) |
−0.808274 | + | 0.588807i | \(0.799598\pi\) | |||||||
\(314\) | 12.8779 | + | 9.35633i | 0.726741 | + | 0.528008i | ||||
\(315\) | −5.76498 | + | 13.3346i | −0.324820 | + | 0.751321i | ||||
\(316\) | 6.01736 | + | 18.5195i | 0.338503 | + | 1.04181i | ||||
\(317\) | 17.9758 | + | 8.00335i | 1.00962 | + | 0.449513i | 0.843809 | − | 0.536644i | \(-0.180308\pi\) |
0.165814 | + | 0.986157i | \(0.446975\pi\) | |||||||
\(318\) | −0.270807 | + | 0.469051i | −0.0151861 | + | 0.0263031i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 5.73630 | + | 9.93556i | 0.320669 | + | 0.555414i | ||||
\(321\) | −3.65522 | + | 2.65568i | −0.204015 | + | 0.148225i | ||||
\(322\) | −9.34565 | − | 41.7427i | −0.520812 | − | 2.32623i | ||||
\(323\) | −3.18711 | + | 9.80892i | −0.177336 | + | 0.545783i | ||||
\(324\) | −2.05544 | + | 19.5562i | −0.114191 | + | 1.08646i | ||||
\(325\) | 0.422169 | − | 0.187962i | 0.0234177 | − | 0.0104263i | ||||
\(326\) | −16.5758 | − | 18.4093i | −0.918047 | − | 1.01959i | ||||
\(327\) | 1.34348 | − | 1.49209i | 0.0742948 | − | 0.0825127i | ||||
\(328\) | −49.9744 | + | 36.3085i | −2.75937 | + | 2.00480i | ||||
\(329\) | −2.28384 | + | 3.21602i | −0.125912 | + | 0.177305i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.0949 | + | 24.4131i | 0.774728 | + | 1.34187i | 0.934947 | + | 0.354786i | \(0.115446\pi\) |
−0.160220 | + | 0.987081i | \(0.551220\pi\) | |||||||
\(332\) | 0.850926 | + | 8.09602i | 0.0467006 | + | 0.444327i | ||||
\(333\) | −13.5335 | − | 2.87664i | −0.741633 | − | 0.157639i | ||||
\(334\) | −4.73020 | + | 1.00544i | −0.258825 | + | 0.0550150i | ||||
\(335\) | 8.15535 | + | 5.92521i | 0.445574 | + | 0.323729i | ||||
\(336\) | 1.96246 | − | 9.74998i | 0.107061 | − | 0.531905i | ||||
\(337\) | 6.71989 | − | 20.6817i | 0.366056 | − | 1.12660i | −0.583262 | − | 0.812284i | \(-0.698224\pi\) |
0.949317 | − | 0.314319i | \(-0.101776\pi\) | |||||||
\(338\) | 3.66538 | − | 4.07082i | 0.199370 | − | 0.221423i | ||||
\(339\) | −0.951244 | − | 9.05048i | −0.0516645 | − | 0.491555i | ||||
\(340\) | −6.90880 | + | 11.9664i | −0.374682 | + | 0.648969i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −42.9217 | −2.32094 | ||||||||
\(343\) | −17.4189 | + | 6.29145i | −0.940532 | + | 0.339706i | ||||
\(344\) | −8.93891 | − | 27.5111i | −0.481954 | − | 1.48330i | ||||
\(345\) | 9.98653 | − | 2.12270i | 0.537657 | − | 0.114282i | ||||
\(346\) | −14.6368 | + | 6.51674i | −0.786881 | + | 0.350342i | ||||
\(347\) | −3.60069 | + | 1.60313i | −0.193295 | + | 0.0860606i | −0.501102 | − | 0.865388i | \(-0.667072\pi\) |
0.307806 | + | 0.951449i | \(0.400405\pi\) | |||||||
\(348\) | −4.84110 | + | 1.02901i | −0.259510 | + | 0.0551606i | ||||
\(349\) | −4.36001 | − | 13.4187i | −0.233386 | − | 0.718289i | −0.997331 | − | 0.0730077i | \(-0.976740\pi\) |
0.763945 | − | 0.645281i | \(-0.223260\pi\) | |||||||
\(350\) | 0.807487 | + | 0.454631i | 0.0431620 | + | 0.0243010i | ||||
\(351\) | −12.8762 | −0.687279 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 2.48434 | − | 4.30301i | 0.132228 | − | 0.229026i | −0.792307 | − | 0.610123i | \(-0.791120\pi\) |
0.924535 | + | 0.381097i | \(0.124453\pi\) | |||||||
\(354\) | 2.35175 | + | 22.3754i | 0.124994 | + | 1.18924i | ||||
\(355\) | 16.7073 | − | 18.5554i | 0.886732 | − | 0.984816i | ||||
\(356\) | 4.16326 | − | 12.8132i | 0.220652 | − | 0.679098i | ||||
\(357\) | −2.66720 | + | 0.898632i | −0.141163 | + | 0.0475606i | ||||
\(358\) | −7.22626 | − | 5.25018i | −0.381919 | − | 0.277481i | ||||
\(359\) | 3.98262 | − | 0.846531i | 0.210195 | − | 0.0446782i | −0.101611 | − | 0.994824i | \(-0.532400\pi\) |
0.311805 | + | 0.950146i | \(0.399066\pi\) | |||||||
\(360\) | −29.4907 | − | 6.26845i | −1.55430 | − | 0.330376i | ||||
\(361\) | −3.01647 | − | 28.6998i | −0.158762 | − | 1.51052i | ||||
\(362\) | 15.2109 | + | 26.3461i | 0.799468 | + | 1.38472i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −36.3969 | − | 3.42792i | −1.90772 | − | 0.179672i | ||||
\(365\) | 15.2796 | − | 11.1013i | 0.799771 | − | 0.581068i | ||||
\(366\) | −15.4387 | + | 17.1464i | −0.806993 | + | 0.896257i | ||||
\(367\) | −12.0591 | − | 13.3930i | −0.629479 | − | 0.699107i | 0.341063 | − | 0.940040i | \(-0.389213\pi\) |
−0.970542 | + | 0.240934i | \(0.922546\pi\) | |||||||
\(368\) | 31.2388 | − | 13.9084i | 1.62843 | − | 0.725025i | ||||
\(369\) | −2.92910 | + | 27.8685i | −0.152483 | + | 1.45078i | ||||
\(370\) | 9.42497 | − | 29.0071i | 0.489981 | − | 1.50801i | ||||
\(371\) | 0.176149 | + | 0.786775i | 0.00914518 | + | 0.0408473i | ||||
\(372\) | −5.70418 | + | 4.14433i | −0.295748 | + | 0.214873i | ||||
\(373\) | −14.4582 | − | 25.0424i | −0.748618 | − | 1.29664i | −0.948485 | − | 0.316822i | \(-0.897384\pi\) |
0.199867 | − | 0.979823i | \(-0.435949\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −4.04290 | + | 7.00250i | −0.208774 | + | 0.361608i | ||||
\(376\) | −7.47840 | − | 3.32960i | −0.385669 | − | 0.171711i | ||||
\(377\) | 1.67544 | + | 5.15648i | 0.0862896 | + | 0.265572i | ||||
\(378\) | −15.4017 | − | 20.7235i | −0.792176 | − | 1.06590i | ||||
\(379\) | −3.48563 | − | 2.53246i | −0.179045 | − | 0.130083i | 0.494653 | − | 0.869090i | \(-0.335295\pi\) |
−0.673698 | + | 0.739007i | \(0.735295\pi\) | |||||||
\(380\) | 6.70203 | − | 63.7655i | 0.343807 | − | 3.27110i | ||||
\(381\) | 5.90963 | + | 6.56331i | 0.302760 | + | 0.336249i | ||||
\(382\) | 29.5035 | + | 6.27116i | 1.50953 | + | 0.320861i | ||||
\(383\) | −11.2811 | − | 5.02269i | −0.576440 | − | 0.256647i | 0.0977436 | − | 0.995212i | \(-0.468837\pi\) |
−0.674183 | + | 0.738564i | \(0.735504\pi\) | |||||||
\(384\) | −12.3047 | −0.627923 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 29.7408 | 1.51377 | ||||||||
\(387\) | −11.9879 | − | 5.33734i | −0.609377 | − | 0.271312i | ||||
\(388\) | −7.64677 | − | 1.62537i | −0.388206 | − | 0.0825157i | ||||
\(389\) | 19.6878 | + | 21.8656i | 0.998213 | + | 1.10863i | 0.994082 | + | 0.108636i | \(0.0346484\pi\) |
0.00413126 | + | 0.999991i | \(0.498685\pi\) | |||||||
\(390\) | 1.34593 | − | 12.8056i | 0.0681536 | − | 0.648438i | ||||
\(391\) | −7.82885 | − | 5.68799i | −0.395922 | − | 0.287654i | ||||
\(392\) | −19.9335 | − | 32.8631i | −1.00679 | − | 1.65984i | ||||
\(393\) | −0.167368 | − | 0.515105i | −0.00844258 | − | 0.0259836i | ||||
\(394\) | −27.6763 | − | 12.3223i | −1.39431 | − | 0.620787i | ||||
\(395\) | −5.10482 | + | 8.84180i | −0.256851 | + | 0.444879i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.64975 | + | 14.9818i | 0.434119 | + | 0.751915i | 0.997223 | − | 0.0744702i | \(-0.0237266\pi\) |
−0.563105 | + | 0.826386i | \(0.690393\pi\) | |||||||
\(398\) | 3.83866 | − | 2.78895i | 0.192415 | − | 0.139798i | ||||
\(399\) | 9.61039 | − | 8.84329i | 0.481121 | − | 0.442718i | ||||
\(400\) | −0.228914 | + | 0.704524i | −0.0114457 | + | 0.0352262i | ||||
\(401\) | 2.60803 | − | 24.8137i | 0.130239 | − | 1.23914i | −0.712832 | − | 0.701335i | \(-0.752588\pi\) |
0.843070 | − | 0.537803i | \(-0.180746\pi\) | |||||||
\(402\) | −7.42491 | + | 3.30578i | −0.370321 | + | 0.164877i | ||||
\(403\) | 5.16837 | + | 5.74006i | 0.257455 | + | 0.285933i | ||||
\(404\) | 17.0078 | − | 18.8891i | 0.846170 | − | 0.939767i | ||||
\(405\) | −8.34094 | + | 6.06005i | −0.414465 | + | 0.301126i | ||||
\(406\) | −6.29502 | + | 8.86439i | −0.312416 | + | 0.439932i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −2.92056 | − | 5.05855i | −0.144589 | − | 0.250436i | ||||
\(409\) | 4.03045 | + | 38.3472i | 0.199293 | + | 1.89615i | 0.400033 | + | 0.916501i | \(0.368999\pi\) |
−0.200741 | + | 0.979644i | \(0.564335\pi\) | |||||||
\(410\) | −60.4219 | − | 12.8431i | −2.98402 | − | 0.634274i | ||||
\(411\) | −4.07678 | + | 0.866546i | −0.201093 | + | 0.0427436i | ||||
\(412\) | 3.61840 | + | 2.62892i | 0.178266 | + | 0.129518i | ||||
\(413\) | 25.1302 | + | 22.1399i | 1.23658 | + | 1.08943i | ||||
\(414\) | 12.4447 | − | 38.3009i | 0.611624 | − | 1.88239i | ||||
\(415\) | −2.85598 | + | 3.17188i | −0.140194 | + | 0.155702i | ||||
\(416\) | −0.735363 | − | 6.99651i | −0.0360541 | − | 0.343032i | ||||
\(417\) | −1.98825 | + | 3.44374i | −0.0973648 | + | 0.168641i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.908970 | 0.0444061 | 0.0222030 | − | 0.999753i | \(-0.492932\pi\) | ||||
0.0222030 | + | 0.999753i | \(0.492932\pi\) | |||||||
\(420\) | 15.0573 | − | 8.91181i | 0.734719 | − | 0.434852i | ||||
\(421\) | 4.80619 | + | 14.7919i | 0.234239 | + | 0.720914i | 0.997221 | + | 0.0744948i | \(0.0237344\pi\) |
−0.762982 | + | 0.646420i | \(0.776266\pi\) | |||||||
\(422\) | −39.5791 | + | 8.41279i | −1.92668 | + | 0.409528i | ||||
\(423\) | −3.39249 | + | 1.51043i | −0.164948 | + | 0.0734397i | ||||
\(424\) | −1.52860 | + | 0.680575i | −0.0742352 | + | 0.0330516i | ||||
\(425\) | 0.205055 | − | 0.0435858i | 0.00994663 | − | 0.00211422i | ||||
\(426\) | 6.22092 | + | 19.1460i | 0.301404 | + | 0.927627i | ||||
\(427\) | 0.371452 | + | 34.3444i | 0.0179758 | + | 1.66204i | ||||
\(428\) | −26.6222 | −1.28683 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 14.4635 | − | 25.0514i | 0.697490 | − | 1.20809i | ||||
\(431\) | −0.369652 | − | 3.51701i | −0.0178055 | − | 0.169408i | 0.982005 | − | 0.188853i | \(-0.0604769\pi\) |
−0.999811 | + | 0.0194445i | \(0.993810\pi\) | |||||||
\(432\) | 13.8112 | − | 15.3388i | 0.664489 | − | 0.737990i | ||||
\(433\) | 5.45282 | − | 16.7820i | 0.262046 | − | 0.806493i | −0.730314 | − | 0.683112i | \(-0.760626\pi\) |
0.992359 | − | 0.123381i | \(-0.0393739\pi\) | |||||||
\(434\) | −3.05623 | + | 15.1841i | −0.146704 | + | 0.728860i | ||||
\(435\) | −2.09934 | − | 1.52526i | −0.100656 | − | 0.0731307i | ||||
\(436\) | 11.5721 | − | 2.45973i | 0.554204 | − | 0.117800i | ||||
\(437\) | 43.9222 | + | 9.33594i | 2.10108 | + | 0.446599i | ||||
\(438\) | 1.59172 | + | 15.1442i | 0.0760551 | + | 0.723616i | ||||
\(439\) | −7.51362 | − | 13.0140i | −0.358606 | − | 0.621123i | 0.629123 | − | 0.777306i | \(-0.283414\pi\) |
−0.987728 | + | 0.156183i | \(0.950081\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.1294 | − | 3.25544i | −0.815688 | − | 0.155021i | ||||
\(442\) | −9.87357 | + | 7.17357i | −0.469638 | + | 0.341212i | ||||
\(443\) | 8.84770 | − | 9.82636i | 0.420367 | − | 0.466865i | −0.495347 | − | 0.868695i | \(-0.664959\pi\) |
0.915714 | + | 0.401830i | \(0.131626\pi\) | |||||||
\(444\) | 11.1504 | + | 12.3837i | 0.529173 | + | 0.587706i | ||||
\(445\) | 6.45309 | − | 2.87310i | 0.305906 | − | 0.136198i | ||||
\(446\) | 0.790614 | − | 7.52219i | 0.0374366 | − | 0.356186i | ||||
\(447\) | 0.220495 | − | 0.678615i | 0.0104291 | − | 0.0320974i | ||||
\(448\) | −10.1325 | + | 9.32376i | −0.478717 | + | 0.440506i | ||||
\(449\) | 8.01626 | − | 5.82415i | 0.378310 | − | 0.274859i | −0.382338 | − | 0.924022i | \(-0.624881\pi\) |
0.760649 | + | 0.649164i | \(0.224881\pi\) | |||||||
\(450\) | 0.436212 | + | 0.755542i | 0.0205632 | + | 0.0356166i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 26.8111 | − | 46.4382i | 1.26109 | − | 2.18427i | ||||
\(453\) | −9.67417 | − | 4.30722i | −0.454532 | − | 0.202371i | ||||
\(454\) | −14.2006 | − | 43.7050i | −0.666468 | − | 2.05118i | ||||
\(455\) | −11.4335 | − | 15.3842i | −0.536011 | − | 0.721222i | ||||
\(456\) | 21.9277 | + | 15.9314i | 1.02686 | + | 0.746055i | ||||
\(457\) | −1.08135 | + | 10.2883i | −0.0505834 | + | 0.481268i | 0.939679 | + | 0.342057i | \(0.111124\pi\) |
−0.990263 | + | 0.139212i | \(0.955543\pi\) | |||||||
\(458\) | 42.5009 | + | 47.2020i | 1.98594 | + | 2.20561i | ||||
\(459\) | −5.71347 | − | 1.21444i | −0.266682 | − | 0.0566850i | ||||
\(460\) | 54.9576 | + | 24.4687i | 2.56241 | + | 1.14086i | ||||
\(461\) | −15.3372 | −0.714325 | −0.357163 | − | 0.934042i | \(-0.616256\pi\) | ||||
−0.357163 | + | 0.934042i | \(0.616256\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −25.1313 | −1.16795 | −0.583976 | − | 0.811771i | \(-0.698504\pi\) | ||||
−0.583976 | + | 0.811771i | \(0.698504\pi\) | |||||||
\(464\) | −7.93980 | − | 3.53503i | −0.368596 | − | 0.164110i | ||||
\(465\) | −3.61598 | − | 0.768601i | −0.167687 | − | 0.0356430i | ||||
\(466\) | −6.36285 | − | 7.06667i | −0.294754 | − | 0.327357i | ||||
\(467\) | 0.0779798 | − | 0.741928i | 0.00360847 | − | 0.0343323i | −0.992569 | − | 0.121679i | \(-0.961172\pi\) |
0.996178 | + | 0.0873467i | \(0.0278388\pi\) | |||||||
\(468\) | −27.8446 | − | 20.2303i | −1.28712 | − | 0.935144i | ||||
\(469\) | −4.80121 | + | 11.1054i | −0.221699 | + | 0.512800i | ||||
\(470\) | −2.52965 | − | 7.78547i | −0.116684 | − | 0.359117i | ||||
\(471\) | −4.16566 | − | 1.85467i | −0.191944 | − | 0.0854588i | ||||
\(472\) | −34.7537 | + | 60.1951i | −1.59967 | + | 2.77070i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −4.11582 | − | 7.12881i | −0.189046 | − | 0.327437i | ||||
\(475\) | −0.786978 | + | 0.571773i | −0.0361090 | + | 0.0262347i | ||||
\(476\) | −15.8269 | − | 4.95388i | −0.725424 | − | 0.227061i | ||||
\(477\) | −0.234560 | + | 0.721902i | −0.0107398 | + | 0.0330536i | ||||
\(478\) | 3.38573 | − | 32.2131i | 0.154860 | − | 1.47339i | ||||
\(479\) | −18.3742 | + | 8.18071i | −0.839537 | + | 0.373786i | −0.781024 | − | 0.624500i | \(-0.785303\pi\) |
−0.0585130 | + | 0.998287i | \(0.518636\pi\) | |||||||
\(480\) | 2.25298 | + | 2.50219i | 0.102834 | + | 0.114209i | ||||
\(481\) | 12.2151 | − | 13.5662i | 0.556960 | − | 0.618566i | ||||
\(482\) | −0.907993 | + | 0.659696i | −0.0413579 | + | 0.0300483i | ||||
\(483\) | 5.10482 | + | 11.1398i | 0.232277 | + | 0.506878i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.04942 | − | 3.54969i | −0.0930592 | − | 0.161183i | ||||
\(486\) | −3.92919 | − | 37.3838i | −0.178232 | − | 1.69576i | ||||
\(487\) | 4.15705 | + | 0.883607i | 0.188374 | + | 0.0400401i | 0.301132 | − | 0.953582i | \(-0.402635\pi\) |
−0.112759 | + | 0.993622i | \(0.535969\pi\) | |||||||
\(488\) | −69.7232 | + | 14.8201i | −3.15622 | + | 0.670876i | ||||
\(489\) | 5.74100 | + | 4.17108i | 0.259617 | + | 0.188623i | ||||
\(490\) | 11.0840 | − | 36.8032i | 0.500723 | − | 1.66260i | ||||
\(491\) | 9.37184 | − | 28.8436i | 0.422945 | − | 1.30169i | −0.482003 | − | 0.876170i | \(-0.660091\pi\) |
0.904948 | − | 0.425522i | \(-0.139909\pi\) | |||||||
\(492\) | 22.5830 | − | 25.0810i | 1.01812 | − | 1.13074i | ||||
\(493\) | 0.257093 | + | 2.44608i | 0.0115789 | + | 0.110166i | ||||
\(494\) | 28.3156 | − | 49.0440i | 1.27398 | − | 2.20659i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.3816 | −0.555948 | ||||||||
\(497\) | 26.1134 | + | 14.7023i | 1.17134 | + | 0.659489i | ||||
\(498\) | −1.06341 | − | 3.27285i | −0.0476527 | − | 0.146660i | ||||
\(499\) | −14.1257 | + | 3.00251i | −0.632353 | + | 0.134411i | −0.512927 | − | 0.858432i | \(-0.671439\pi\) |
−0.119426 | + | 0.992843i | \(0.538106\pi\) | |||||||
\(500\) | −43.5251 | + | 19.3786i | −1.94650 | + | 0.866639i | ||||
\(501\) | 1.26553 | − | 0.563451i | 0.0565397 | − | 0.0251731i | ||||
\(502\) | 2.72541 | − | 0.579303i | 0.121641 | − | 0.0258556i | ||||
\(503\) | −0.914140 | − | 2.81343i | −0.0407595 | − | 0.125445i | 0.928606 | − | 0.371067i | \(-0.121008\pi\) |
−0.969366 | + | 0.245622i | \(0.921008\pi\) | |||||||
\(504\) | −0.391346 | − | 36.1838i | −0.0174319 | − | 1.61175i | ||||
\(505\) | 13.3267 | 0.593032 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.784595 | + | 1.35896i | −0.0348451 | + | 0.0603534i | ||||
\(508\) | 5.43966 | + | 51.7549i | 0.241346 | + | 2.29625i | ||||
\(509\) | −16.7220 | + | 18.5717i | −0.741191 | + | 0.823176i | −0.989352 | − | 0.145542i | \(-0.953507\pi\) |
0.248161 | + | 0.968719i | \(0.420174\pi\) | |||||||
\(510\) | 1.80500 | − | 5.55523i | 0.0799269 | − | 0.245990i | ||||
\(511\) | 17.0086 | + | 14.9848i | 0.752418 | + | 0.662887i | ||||
\(512\) | −37.6813 | − | 27.3771i | −1.66529 | − | 1.20991i | ||||
\(513\) | 26.5118 | − | 5.63525i | 1.17052 | − | 0.248802i | ||||
\(514\) | −55.6472 | − | 11.8282i | −2.45449 | − | 0.521718i | ||||
\(515\) | 0.245121 | + | 2.33217i | 0.0108013 | + | 0.102768i | ||||
\(516\) | 7.90228 | + | 13.6872i | 0.347879 | + | 0.602544i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 36.4450 | + | 3.43245i | 1.60130 | + | 0.150813i | ||||
\(519\) | 3.71314 | − | 2.69776i | 0.162989 | − | 0.118418i | ||||
\(520\) | 26.6177 | − | 29.5620i | 1.16726 | − | 1.29638i | ||||
\(521\) | 19.3132 | + | 21.4495i | 0.846127 | + | 0.939719i | 0.998821 | − | 0.0485548i | \(-0.0154615\pi\) |
−0.152694 | + | 0.988274i | \(0.548795\pi\) | |||||||
\(522\) | −9.35079 | + | 4.16324i | −0.409273 | + | 0.182220i | ||||
\(523\) | −0.0493992 | + | 0.470002i | −0.00216008 | + | 0.0205518i | −0.995549 | − | 0.0942470i | \(-0.969956\pi\) |
0.993389 | + | 0.114799i | \(0.0366223\pi\) | |||||||
\(524\) | 0.986185 | − | 3.03517i | 0.0430817 | − | 0.132592i | ||||
\(525\) | −0.253337 | − | 0.0792955i | −0.0110565 | − | 0.00346074i | ||||
\(526\) | −18.5220 | + | 13.4570i | −0.807597 | + | 0.586754i | ||||
\(527\) | 1.75195 | + | 3.03447i | 0.0763162 | + | 0.132184i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.56566 | + | 16.5682i | −0.415898 | + | 0.720357i | ||||
\(530\) | −1.52860 | − | 0.680575i | −0.0663980 | − | 0.0295623i | ||||
\(531\) | 9.74366 | + | 29.9879i | 0.422839 | + | 1.30136i | ||||
\(532\) | 76.4408 | − | 8.87108i | 3.31413 | − | 0.384610i | ||||
\(533\) | −29.9113 | − | 21.7318i | −1.29560 | − | 0.941311i | ||||
\(534\) | −0.595317 | + | 5.66407i | −0.0257619 | + | 0.245108i | ||||
\(535\) | −9.33987 | − | 10.3730i | −0.403798 | − | 0.448463i | ||||
\(536\) | −24.5606 | − | 5.22052i | −1.06086 | − | 0.225492i | ||||
\(537\) | 2.33751 | + | 1.04073i | 0.100871 | + | 0.0449106i | ||||
\(538\) | 38.8904 | 1.67668 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 36.3122 | 1.56263 | ||||||||
\(541\) | 14.1230 | + | 6.28797i | 0.607195 | + | 0.270341i | 0.687217 | − | 0.726452i | \(-0.258832\pi\) |
−0.0800215 | + | 0.996793i | \(0.525499\pi\) | |||||||
\(542\) | 67.5976 | + | 14.3683i | 2.90357 | + | 0.617172i | ||||
\(543\) | −5.83127 | − | 6.47629i | −0.250244 | − | 0.277924i | ||||
\(544\) | 0.333588 | − | 3.17388i | 0.0143025 | − | 0.136079i | ||||
\(545\) | 5.01825 | + | 3.64597i | 0.214958 | + | 0.156176i | ||||
\(546\) | 15.3511 | − | 1.78152i | 0.656967 | − | 0.0762421i | ||||
\(547\) | −10.8292 | − | 33.3288i | −0.463023 | − | 1.42504i | −0.861452 | − | 0.507839i | \(-0.830444\pi\) |
0.398429 | − | 0.917199i | \(-0.369556\pi\) | |||||||
\(548\) | −22.4352 | − | 9.98880i | −0.958384 | − | 0.426700i | ||||
\(549\) | −16.1679 | + | 28.0035i | −0.690027 | + | 1.19516i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −5.70644 | − | 9.88384i | −0.243102 | − | 0.421066i | ||||
\(552\) | −20.5740 | + | 14.9479i | −0.875686 | + | 0.636223i | ||||
\(553\) | −11.6943 | − | 3.66036i | −0.497291 | − | 0.155654i | ||||
\(554\) | −11.4014 | + | 35.0898i | −0.484398 | + | 1.49082i | ||||
\(555\) | −0.913270 | + | 8.68918i | −0.0387661 | + | 0.368835i | ||||
\(556\) | −21.4051 | + | 9.53017i | −0.907779 | + | 0.404169i | ||||
\(557\) | 7.04771 | + | 7.82728i | 0.298621 | + | 0.331652i | 0.873718 | − | 0.486433i | \(-0.161702\pi\) |
−0.575097 | + | 0.818085i | \(0.695036\pi\) | |||||||
\(558\) | −9.75719 | + | 10.8365i | −0.413055 | + | 0.458744i | ||||
\(559\) | 14.0071 | − | 10.1767i | 0.592436 | − | 0.430430i | ||||
\(560\) | 30.5903 | + | 2.88104i | 1.29268 | + | 0.121746i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 18.9588 | + | 32.8376i | 0.799729 | + | 1.38517i | ||||
\(563\) | 3.21056 | + | 30.5464i | 0.135309 | + | 1.28738i | 0.825769 | + | 0.564009i | \(0.190742\pi\) |
−0.690460 | + | 0.723371i | \(0.742592\pi\) | |||||||
\(564\) | 4.37485 | + | 0.929904i | 0.184215 | + | 0.0391560i | ||||
\(565\) | 27.5002 | − | 5.84534i | 1.15694 | − | 0.245915i | ||||
\(566\) | 43.7636 | + | 31.7961i | 1.83952 | + | 1.33649i | ||||
\(567\) | −9.28480 | − | 8.17999i | −0.389925 | − | 0.343527i | ||||
\(568\) | −19.2189 | + | 59.1496i | −0.806406 | + | 2.48186i | ||||
\(569\) | −20.5905 | + | 22.8681i | −0.863201 | + | 0.958681i | −0.999488 | − | 0.0319878i | \(-0.989816\pi\) |
0.136288 | + | 0.990669i | \(0.456483\pi\) | |||||||
\(570\) | 2.83315 | + | 26.9556i | 0.118667 | + | 1.12905i | ||||
\(571\) | 3.75847 | − | 6.50986i | 0.157287 | − | 0.272429i | −0.776602 | − | 0.629991i | \(-0.783059\pi\) |
0.933889 | + | 0.357562i | \(0.116392\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.64045 | −0.360960 | ||||||||
\(574\) | −0.801807 | − | 74.1349i | −0.0334668 | − | 3.09433i | ||||
\(575\) | −0.282041 | − | 0.868034i | −0.0117619 | − | 0.0361995i | ||||
\(576\) | −12.6802 | + | 2.69525i | −0.528340 | + | 0.112302i | ||||
\(577\) | 25.2307 | − | 11.2334i | 1.05037 | − | 0.467654i | 0.192378 | − | 0.981321i | \(-0.438380\pi\) |
0.857990 | + | 0.513667i | \(0.171713\pi\) | |||||||
\(578\) | 33.6261 | − | 14.9713i | 1.39866 | − | 0.622723i | ||||
\(579\) | −8.33343 | + | 1.77133i | −0.346326 | + | 0.0736138i | ||||
\(580\) | −4.72493 | − | 14.5418i | −0.196192 | − | 0.603817i | ||||
\(581\) | −4.46386 | − | 2.51324i | −0.185192 | − | 0.104267i | ||||
\(582\) | 3.30473 | 0.136986 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −23.5220 | + | 40.7413i | −0.973348 | + | 1.68589i | ||||
\(585\) | −1.88627 | − | 17.9467i | −0.0779877 | − | 0.742003i | ||||
\(586\) | −18.5465 | + | 20.5979i | −0.766148 | + | 0.850893i | ||||
\(587\) | −9.25760 | + | 28.4920i | −0.382102 | + | 1.17599i | 0.556459 | + | 0.830875i | \(0.312160\pi\) |
−0.938561 | + | 0.345114i | \(0.887840\pi\) | |||||||
\(588\) | 14.3860 | + | 15.2985i | 0.593268 | + | 0.630898i | ||||
\(589\) | −13.1537 | − | 9.55673i | −0.541989 | − | 0.393778i | ||||
\(590\) | −67.9884 | + | 14.4514i | −2.79904 | + | 0.594954i | ||||
\(591\) | 8.48885 | + | 1.80436i | 0.349184 | + | 0.0742214i | ||||
\(592\) | 3.05881 | + | 29.1026i | 0.125716 | + | 1.19611i | ||||
\(593\) | −6.33401 | − | 10.9708i | −0.260107 | − | 0.450518i | 0.706163 | − | 0.708049i | \(-0.250424\pi\) |
−0.966270 | + | 0.257531i | \(0.917091\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.62234 | − | 7.90471i | −0.148502 | − | 0.324062i | ||||
\(596\) | 3.40143 | − | 2.47129i | 0.139328 | − | 0.101228i | ||||
\(597\) | −0.909495 | + | 1.01010i | −0.0372232 | + | 0.0413405i | ||||
\(598\) | 35.5543 | + | 39.4870i | 1.45392 | + | 1.61474i | ||||
\(599\) | 1.18237 | − | 0.526425i | 0.0483104 | − | 0.0215092i | −0.382439 | − | 0.923981i | \(-0.624916\pi\) |
0.430750 | + | 0.902471i | \(0.358249\pi\) | |||||||
\(600\) | 0.0575864 | − | 0.547898i | 0.00235096 | − | 0.0223679i | ||||
\(601\) | −12.6765 | + | 39.0142i | −0.517085 | + | 1.59142i | 0.262371 | + | 0.964967i | \(0.415496\pi\) |
−0.779456 | + | 0.626457i | \(0.784504\pi\) | |||||||
\(602\) | 33.1333 | + | 10.3709i | 1.35041 | + | 0.422685i | ||||
\(603\) | −9.21513 | + | 6.69519i | −0.375269 | + | 0.272649i | ||||
\(604\) | −31.1990 | − | 54.0383i | −1.26947 | − | 2.19879i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −5.37242 | + | 9.30531i | −0.218240 | + | 0.378002i | ||||
\(607\) | −19.3460 | − | 8.61339i | −0.785230 | − | 0.349607i | −0.0253568 | − | 0.999678i | \(-0.508072\pi\) |
−0.759873 | + | 0.650072i | \(0.774739\pi\) | |||||||
\(608\) | 4.57612 | + | 14.0839i | 0.185586 | + | 0.571176i | ||||
\(609\) | 1.23592 | − | 2.85874i | 0.0500822 | − | 0.115842i | ||||
\(610\) | −57.6675 | − | 41.8979i | −2.33489 | − | 1.69639i | ||||
\(611\) | 0.512155 | − | 4.87283i | 0.0207196 | − | 0.197133i | ||||
\(612\) | −10.4473 | − | 11.6029i | −0.422306 | − | 0.469018i | ||||
\(613\) | −6.61533 | − | 1.40613i | −0.267191 | − | 0.0567931i | 0.0723680 | − | 0.997378i | \(-0.476944\pi\) |
−0.339559 | + | 0.940585i | \(0.610278\pi\) | |||||||
\(614\) | −56.8548 | − | 25.3134i | −2.29447 | − | 1.02157i | ||||
\(615\) | 17.6953 | 0.713542 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −41.0728 | −1.65353 | −0.826763 | − | 0.562550i | \(-0.809820\pi\) | ||||
−0.826763 | + | 0.562550i | \(0.809820\pi\) | |||||||
\(618\) | −1.72724 | − | 0.769016i | −0.0694797 | − | 0.0309344i | ||||
\(619\) | 29.7618 | + | 6.32608i | 1.19623 | + | 0.254266i | 0.762627 | − | 0.646838i | \(-0.223909\pi\) |
0.433602 | + | 0.901104i | \(0.357242\pi\) | |||||||
\(620\) | −14.5754 | − | 16.1876i | −0.585361 | − | 0.650110i | ||||
\(621\) | −2.65824 | + | 25.2915i | −0.106672 | + | 1.01491i | ||||
\(622\) | 70.0079 | + | 50.8637i | 2.80706 | + | 2.03945i | ||||
\(623\) | 5.05716 | + | 6.80459i | 0.202611 | + | 0.272620i | ||||
\(624\) | 3.81759 | + | 11.7493i | 0.152826 | + | 0.470350i | ||||
\(625\) | −22.1783 | − | 9.87441i | −0.887132 | − | 0.394976i | ||||
\(626\) | 29.5285 | − | 51.1449i | 1.18020 | − | 2.04416i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −13.4342 | − | 23.2687i | −0.536082 | − | 0.928521i | ||||
\(629\) | 6.69965 | − | 4.86758i | 0.267133 | − | 0.194083i | ||||
\(630\) | 26.6279 | − | 24.5025i | 1.06088 | − | 0.976204i | ||||
\(631\) | 3.82162 | − | 11.7617i | 0.152136 | − | 0.468227i | −0.845723 | − | 0.533622i | \(-0.820831\pi\) |
0.997859 | + | 0.0653945i | \(0.0208306\pi\) | |||||||
\(632\) | 2.65824 | − | 25.2915i | 0.105739 | − | 1.00604i | ||||
\(633\) | 10.5891 | − | 4.71456i | 0.420878 | − | 0.187387i | ||||
\(634\) | −32.7959 | − | 36.4235i | −1.30249 | − | 1.44656i | ||||
\(635\) | −18.2572 | + | 20.2767i | −0.724515 | + | 0.804655i | ||||
\(636\) | 0.739607 | − | 0.537356i | 0.0293273 | − | 0.0213075i | ||||
\(637\) | 15.0201 | − | 17.4252i | 0.595120 | − | 0.690410i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 14.1067 | + | 24.4335i | 0.558052 | + | 0.966574i | ||||
\(640\) | −3.97357 | − | 37.8060i | −0.157069 | − | 1.49441i | ||||
\(641\) | 46.1014 | + | 9.79915i | 1.82089 | + | 0.387043i | 0.986452 | − | 0.164051i | \(-0.0524561\pi\) |
0.834443 | + | 0.551094i | \(0.185789\pi\) | |||||||
\(642\) | 11.0081 | − | 2.33984i | 0.434453 | − | 0.0923459i | ||||
\(643\) | −1.51482 | − | 1.10058i | −0.0597388 | − | 0.0434028i | 0.557515 | − | 0.830167i | \(-0.311755\pi\) |
−0.617254 | + | 0.786764i | \(0.711755\pi\) | |||||||
\(644\) | −14.2472 | + | 70.7835i | −0.561418 | + | 2.78926i | ||||
\(645\) | −2.56066 | + | 7.88089i | −0.100826 | + | 0.310310i | ||||
\(646\) | 17.1900 | − | 19.0914i | 0.676331 | − | 0.751142i | ||||
\(647\) | 0.191902 | + | 1.82582i | 0.00754443 | + | 0.0717805i | 0.997646 | − | 0.0685701i | \(-0.0218437\pi\) |
−0.990102 | + | 0.140351i | \(0.955177\pi\) | |||||||
\(648\) | 12.8404 | − | 22.2402i | 0.504417 | − | 0.873676i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −1.15108 | −0.0451492 | ||||||||
\(651\) | −0.0479846 | − | 4.43665i | −0.00188066 | − | 0.173886i | ||||
\(652\) | 12.9211 | + | 39.7670i | 0.506029 | + | 1.55740i | ||||
\(653\) | 17.7799 | − | 3.77924i | 0.695783 | − | 0.147893i | 0.153574 | − | 0.988137i | \(-0.450922\pi\) |
0.542209 | + | 0.840244i | \(0.317588\pi\) | |||||||
\(654\) | −4.56879 | + | 2.03416i | −0.178654 | + | 0.0795418i | ||||
\(655\) | 1.52860 | − | 0.680575i | 0.0597272 | − | 0.0265923i | ||||
\(656\) | 57.9716 | − | 12.3222i | 2.26341 | − | 0.481103i | ||||
\(657\) | 6.59472 | + | 20.2964i | 0.257284 | + | 0.791840i | ||||
\(658\) | 8.45516 | − | 5.00428i | 0.329616 | − | 0.195087i | ||||
\(659\) | −16.8997 | −0.658318 | −0.329159 | − | 0.944275i | \(-0.606765\pi\) | ||||
−0.329159 | + | 0.944275i | \(0.606765\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.6516 | − | 39.2338i | 0.881046 | − | 1.52602i | 0.0308661 | − | 0.999524i | \(-0.490173\pi\) |
0.850180 | − | 0.526493i | \(-0.176493\pi\) | |||||||
\(662\) | −7.33969 | − | 69.8324i | −0.285265 | − | 2.71412i | ||||
\(663\) | 2.33935 | − | 2.59811i | 0.0908527 | − | 0.100902i | ||||
\(664\) | 3.28531 | − | 10.1111i | 0.127495 | − | 0.392388i | ||||
\(665\) | 30.2742 | + | 26.6719i | 1.17399 | + | 1.03429i | ||||
\(666\) | 27.8814 | + | 20.2570i | 1.08038 | + | 0.784943i | ||||
\(667\) | 10.4743 | − | 2.22638i | 0.405567 | − | 0.0862058i | ||||
\(668\) | 7.98425 | + | 1.69710i | 0.308920 | + | 0.0656629i | ||||
\(669\) | 0.226481 | + | 2.15482i | 0.00875625 | + | 0.0833102i | ||||
\(670\) | −12.5547 | − | 21.7453i | −0.485028 | − | 0.840094i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −2.33983 | + | 3.29485i | −0.0902609 | + | 0.127102i | ||||
\(673\) | −31.9623 | + | 23.2220i | −1.23206 | + | 0.895143i | −0.997043 | − | 0.0768491i | \(-0.975514\pi\) |
−0.235015 | + | 0.971992i | \(0.575514\pi\) | |||||||
\(674\) | −36.2444 | + | 40.2534i | −1.39608 | + | 1.55050i | ||||
\(675\) | −0.368635 | − | 0.409411i | −0.0141888 | − | 0.0157582i | ||||
\(676\) | −8.44681 | + | 3.76076i | −0.324877 | + | 0.144645i | ||||
\(677\) | 3.56796 | − | 33.9469i | 0.137128 | − | 1.30469i | −0.682118 | − | 0.731242i | \(-0.738941\pi\) |
0.819246 | − | 0.573443i | \(-0.194392\pi\) | |||||||
\(678\) | −7.00470 | + | 21.5583i | −0.269014 | + | 0.827940i | ||||
\(679\) | 3.62007 | − | 3.33112i | 0.138925 | − | 0.127836i | ||||
\(680\) | 14.5991 | − | 10.6069i | 0.559851 | − | 0.406756i | ||||
\(681\) | 6.58206 | + | 11.4005i | 0.252225 | + | 0.436867i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −11.8931 | + | 20.5995i | −0.455079 | + | 0.788219i | −0.998693 | − | 0.0511160i | \(-0.983722\pi\) |
0.543614 | + | 0.839335i | \(0.317056\pi\) | |||||||
\(684\) | 66.1852 | + | 29.4676i | 2.53066 | + | 1.12672i | ||||
\(685\) | −3.97895 | − | 12.2460i | −0.152028 | − | 0.467894i | ||||
\(686\) | 46.0110 | + | 3.33122i | 1.75671 | + | 0.127187i | ||||
\(687\) | −14.7201 | − | 10.6948i | −0.561609 | − | 0.408032i | ||||
\(688\) | −2.90106 | + | 27.6018i | −0.110602 | + | 1.05231i | ||||
\(689\) | −0.670134 | − | 0.744259i | −0.0255301 | − | 0.0283540i | ||||
\(690\) | −24.8751 | − | 5.28736i | −0.946978 | − | 0.201286i | ||||
\(691\) | −18.7847 | − | 8.36350i | −0.714605 | − | 0.318163i | 0.0170340 | − | 0.999855i | \(-0.494578\pi\) |
−0.731639 | + | 0.681692i | \(0.761244\pi\) | |||||||
\(692\) | 27.0440 | 1.02806 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.81761 | 0.372671 | ||||||||
\(695\) | −11.2229 | − | 4.99674i | −0.425708 | − | 0.189537i | ||||
\(696\) | 6.32238 | + | 1.34386i | 0.239649 | + | 0.0509390i | ||||
\(697\) | −11.2227 | − | 12.4641i | −0.425091 | − | 0.472111i | ||||
\(698\) | −3.67358 | + | 34.9518i | −0.139047 | + | 1.32295i | ||||
\(699\) | 2.20377 | + | 1.60113i | 0.0833542 | + | 0.0605603i | ||||
\(700\) | −0.933022 | − | 1.25541i | −0.0352649 | − | 0.0474502i | ||||
\(701\) | −7.41353 | − | 22.8165i | −0.280005 | − | 0.861768i | −0.987851 | − | 0.155401i | \(-0.950333\pi\) |
0.707846 | − | 0.706367i | \(-0.249667\pi\) | |||||||
\(702\) | 29.2999 | + | 13.0452i | 1.10585 | + | 0.492358i | ||||
\(703\) | −19.2134 | + | 33.2785i | −0.724646 | + | 1.25512i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.17251 | + | 2.03084i | 0.0441592 | + | 0.0764860i | ||||
\(706\) | −10.0127 | + | 7.27462i | −0.376831 | + | 0.273784i | ||||
\(707\) | 3.49454 | + | 15.6085i | 0.131426 | + | 0.587019i | ||||
\(708\) | 11.7353 | − | 36.1175i | 0.441039 | − | 1.35738i | ||||
\(709\) | 5.40535 | − | 51.4284i | 0.203002 | − | 1.93143i | −0.136120 | − | 0.990692i | \(-0.543463\pi\) |
0.339122 | − | 0.940743i | \(-0.389870\pi\) | |||||||
\(710\) | −56.8167 | + | 25.2964i | −2.13229 | + | 0.949358i | ||||
\(711\) | −7.71934 | − | 8.57320i | −0.289498 | − | 0.321520i | ||||
\(712\) | −11.7733 | + | 13.0756i | −0.441223 | + | 0.490028i | ||||
\(713\) | 12.3417 | − | 8.96675i | 0.462199 | − | 0.335808i | ||||
\(714\) | 6.97969 | + | 0.657359i | 0.261208 | + | 0.0246010i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 7.53841 | + | 13.0569i | 0.281724 | + | 0.487960i | ||||
\(717\) | 0.969884 | + | 9.22783i | 0.0362210 | + | 0.344620i | ||||
\(718\) | −9.92016 | − | 2.10859i | −0.370217 | − | 0.0786920i | ||||
\(719\) | −25.2217 | + | 5.36103i | −0.940609 | + | 0.199933i | −0.652607 | − | 0.757697i | \(-0.726325\pi\) |
−0.288003 | + | 0.957630i | \(0.592991\pi\) | |||||||
\(720\) | 23.4024 | + | 17.0028i | 0.872154 | + | 0.633657i | ||||
\(721\) | −2.66720 | + | 0.898632i | −0.0993318 | + | 0.0334668i | ||||
\(722\) | −22.2125 | + | 68.3630i | −0.826663 | + | 2.54421i | ||||
\(723\) | 0.215131 | − | 0.238927i | 0.00800081 | − | 0.00888579i | ||||
\(724\) | −5.36753 | − | 51.0686i | −0.199483 | − | 1.89795i | ||||
\(725\) | −0.115989 | + | 0.200899i | −0.00430772 | + | 0.00746118i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.7330 | 1.21400 | 0.606999 | − | 0.794702i | \(-0.292373\pi\) | ||||
0.606999 | + | 0.794702i | \(0.292373\pi\) | |||||||
\(728\) | 41.6032 | + | 23.4234i | 1.54192 | + | 0.868129i | ||||
\(729\) | −1.00831 | − | 3.10325i | −0.0373448 | − | 0.114935i | ||||
\(730\) | −46.0160 | + | 9.78100i | −1.70313 | + | 0.362011i | ||||
\(731\) | 7.17512 | − | 3.19457i | 0.265382 | − | 0.118155i | ||||
\(732\) | 35.5782 | − | 15.8404i | 1.31501 | − | 0.585479i | ||||
\(733\) | 9.07988 | − | 1.92999i | 0.335373 | − | 0.0712857i | −0.0371473 | − | 0.999310i | \(-0.511827\pi\) |
0.372520 | + | 0.928024i | \(0.378494\pi\) | |||||||
\(734\) | 13.8719 | + | 42.6933i | 0.512021 | + | 1.57584i | ||||
\(735\) | −0.913803 | + | 10.9725i | −0.0337061 | + | 0.404726i | ||||
\(736\) | −13.8944 | −0.512156 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 34.8995 | − | 60.4477i | 1.28467 | − | 2.22511i | ||||
\(739\) | 5.23617 | + | 49.8188i | 0.192616 | + | 1.83262i | 0.482900 | + | 0.875676i | \(0.339583\pi\) |
−0.290284 | + | 0.956940i | \(0.593750\pi\) | |||||||
\(740\) | −34.4479 | + | 38.2583i | −1.26633 | + | 1.40640i | ||||
\(741\) | −5.01308 | + | 15.4287i | −0.184160 | + | 0.566787i | ||||
\(742\) | 0.396273 | − | 1.96878i | 0.0145476 | − | 0.0722762i | ||||
\(743\) | −10.6530 | − | 7.73987i | −0.390821 | − | 0.283948i | 0.374971 | − | 0.927037i | \(-0.377653\pi\) |
−0.765792 | + | 0.643088i | \(0.777653\pi\) | |||||||
\(744\) | 9.00692 | − | 1.91448i | 0.330210 | − | 0.0701882i | ||||
\(745\) | 2.15623 | + | 0.458321i | 0.0789982 | + | 0.0167916i | ||||
\(746\) | 7.52886 | + | 71.6323i | 0.275651 | + | 2.62265i | ||||
\(747\) | −2.41142 | − | 4.17670i | −0.0882293 | − | 0.152818i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 9.69992 | − | 13.6590i | 0.354427 | − | 0.499090i | ||||
\(750\) | 16.2941 | − | 11.8384i | 0.594976 | − | 0.432276i | ||||
\(751\) | 27.6443 | − | 30.7021i | 1.00875 | − | 1.12033i | 0.0160357 | − | 0.999871i | \(-0.494895\pi\) |
0.992718 | − | 0.120463i | \(-0.0384379\pi\) | |||||||
\(752\) | 5.25545 | + | 5.83677i | 0.191647 | + | 0.212845i | ||||
\(753\) | −0.729163 | + | 0.324644i | −0.0265722 | + | 0.0118307i | ||||
\(754\) | 1.41166 | − | 13.4311i | 0.0514098 | − | 0.489131i | ||||
\(755\) | 10.1097 | − | 31.1145i | 0.367931 | − | 1.13237i | ||||
\(756\) | 9.52179 | + | 42.5295i | 0.346304 | + | 1.54678i | ||||
\(757\) | 36.8195 | − | 26.7509i | 1.33823 | − | 0.972278i | 0.338719 | − | 0.940887i | \(-0.390006\pi\) |
0.999507 | − | 0.0313910i | \(-0.00999371\pi\) | |||||||
\(758\) | 5.36591 | + | 9.29402i | 0.194898 | + | 0.337574i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −41.8676 | + | 72.5168i | −1.51870 | + | 2.63046i | ||||
\(761\) | 28.5683 | + | 12.7194i | 1.03560 | + | 0.461079i | 0.852892 | − | 0.522088i | \(-0.174847\pi\) |
0.182709 | + | 0.983167i | \(0.441513\pi\) | |||||||
\(762\) | −6.79801 | − | 20.9221i | −0.246266 | − | 0.757929i | ||||
\(763\) | −2.95434 | + | 6.83352i | −0.106954 | + | 0.247390i | ||||
\(764\) | −41.1890 | − | 29.9255i | −1.49016 | − | 1.08267i | ||||
\(765\) | 0.855683 | − | 8.14128i | 0.0309373 | − | 0.294349i | ||||
\(766\) | 20.5818 | + | 22.8584i | 0.743652 | + | 0.825909i | ||||
\(767\) | −40.6933 | − | 8.64963i | −1.46935 | − | 0.312320i | ||||
\(768\) | 21.2147 | + | 9.44538i | 0.765518 | + | 0.340831i | ||||
\(769\) | 42.0467 | 1.51624 | 0.758121 | − | 0.652114i | \(-0.226118\pi\) | ||||
0.758121 | + | 0.652114i | \(0.226118\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.2969 | 0.586920 | ||||||||
\(772\) | −45.8603 | − | 20.4183i | −1.65055 | − | 0.734871i | ||||
\(773\) | −7.47746 | − | 1.58938i | −0.268946 | − | 0.0571662i | 0.0714647 | − | 0.997443i | \(-0.477233\pi\) |
−0.340410 | + | 0.940277i | \(0.610566\pi\) | |||||||
\(774\) | 21.8712 | + | 24.2904i | 0.786143 | + | 0.873101i | ||||
\(775\) | −0.0345443 | + | 0.328667i | −0.00124087 | + | 0.0118061i | ||||
\(776\) | 8.25977 | + | 6.00107i | 0.296508 | + | 0.215426i | ||||
\(777\) | −10.4164 | + | 1.20884i | −0.373686 | + | 0.0433669i | ||||
\(778\) | −22.6475 | − | 69.7017i | −0.811951 | − | 2.49893i | ||||
\(779\) | 71.0978 | + | 31.6548i | 2.54734 | + | 1.13415i | ||||
\(780\) | −10.8670 | + | 18.8222i | −0.389102 | + | 0.673944i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 12.0520 | + | 20.8747i | 0.430980 | + | 0.746479i | ||||
\(783\) | 5.22918 | − | 3.79922i | 0.186876 | − | 0.135773i | ||||
\(784\) | 4.64706 | + | 36.5834i | 0.165966 | + | 1.30655i | ||||
\(785\) | 4.35321 | − | 13.3978i | 0.155373 | − | 0.478188i | ||||
\(786\) | −0.141018 | + | 1.34169i | −0.00502993 | + | 0.0478566i | ||||
\(787\) | −25.4910 | + | 11.3493i | −0.908657 | + | 0.404560i | −0.807199 | − | 0.590280i | \(-0.799017\pi\) |
−0.101458 | + | 0.994840i | \(0.532351\pi\) | |||||||
\(788\) | 34.2170 | + | 38.0019i | 1.21893 | + | 1.35376i | ||||
\(789\) | 4.38842 | − | 4.87383i | 0.156232 | − | 0.173513i | ||||
\(790\) | 20.5740 | − | 14.9479i | 0.731989 | − | 0.531821i | ||||
\(791\) | 14.0573 | + | 30.6759i | 0.499819 | + | 1.09071i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.3320 | − | 36.9481i | −0.757521 | − | 1.31206i | ||||
\(794\) | −4.50420 | − | 42.8546i | −0.159848 | − | 1.52085i | ||||
\(795\) | 0.468850 | + | 0.0996572i | 0.0166284 | + | 0.00353448i | ||||
\(796\) | −7.83395 | + | 1.66516i | −0.277667 | + | 0.0590200i | ||||
\(797\) | −8.13546 | − | 5.91076i | −0.288173 | − | 0.209370i | 0.434301 | − | 0.900768i | \(-0.356995\pi\) |
−0.722474 | + | 0.691398i | \(0.756995\pi\) | |||||||
\(798\) | −30.8280 | + | 10.3865i | −1.09130 | + | 0.367679i | ||||
\(799\) | 0.686844 | − | 2.11389i | 0.0242988 | − | 0.0747840i | ||||
\(800\) | 0.201408 | − | 0.223686i | 0.00712086 | − | 0.00790851i | ||||
\(801\) | 0.834318 | + | 7.93800i | 0.0294792 | + | 0.280476i | ||||
\(802\) | −31.0740 | + | 53.8218i | −1.09726 | + | 1.90051i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 13.7188 | 0.483824 | ||||||||
\(805\) | −32.5782 | + | 19.2818i | −1.14823 | + | 0.679594i | ||||
\(806\) | −5.94532 | − | 18.2978i | −0.209415 | − | 0.644513i | ||||
\(807\) | −10.8972 | + | 2.31626i | −0.383598 | + | 0.0815363i | ||||
\(808\) | −30.3252 | + | 13.5017i | −1.06684 | + | 0.474987i | ||||
\(809\) | 35.2378 | − | 15.6889i | 1.23890 | − | 0.551592i | 0.320497 | − | 0.947249i | \(-0.396150\pi\) |
0.918398 | + | 0.395658i | \(0.129483\pi\) | |||||||
\(810\) | 25.1195 | − | 5.33932i | 0.882611 | − | 0.187605i | ||||
\(811\) | 3.82439 | + | 11.7703i | 0.134293 | + | 0.413310i | 0.995479 | − | 0.0949787i | \(-0.0302783\pi\) |
−0.861187 | + | 0.508289i | \(0.830278\pi\) | |||||||
\(812\) | 15.7927 | − | 9.34709i | 0.554215 | − | 0.328019i | ||||
\(813\) | −19.7968 | −0.694303 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −10.9616 | + | 18.9860i | −0.383968 | + | 0.665051i | ||||
\(816\) | 0.585802 | + | 5.57353i | 0.0205072 | + | 0.195113i | ||||
\(817\) | −24.3865 | + | 27.0839i | −0.853175 | + | 0.947547i | ||||
\(818\) | 29.6791 | − | 91.3430i | 1.03771 | − | 3.19373i | ||||
\(819\) | 20.5248 | − | 6.91521i | 0.717196 | − | 0.241637i | ||||
\(820\) | 84.3533 | + | 61.2862i | 2.94574 | + | 2.14021i | ||||
\(821\) | −29.0883 | + | 6.18290i | −1.01519 | + | 0.215785i | −0.685320 | − | 0.728242i | \(-0.740338\pi\) |
−0.329868 | + | 0.944027i | \(0.607004\pi\) | |||||||
\(822\) | 10.1547 | + | 2.15845i | 0.354186 | + | 0.0752845i | ||||
\(823\) | −4.26236 | − | 40.5536i | −0.148576 | − | 1.41361i | −0.773931 | − | 0.633270i | \(-0.781712\pi\) |
0.625355 | − | 0.780340i | \(-0.284954\pi\) | |||||||
\(824\) | −2.92056 | − | 5.05855i | −0.101742 | − | 0.176223i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −34.7537 | − | 75.8398i | −1.20923 | − | 2.63880i | ||||
\(827\) | 15.2428 | − | 11.0745i | 0.530043 | − | 0.385099i | −0.290331 | − | 0.956926i | \(-0.593765\pi\) |
0.820374 | + | 0.571827i | \(0.193765\pi\) | |||||||
\(828\) | −45.4849 | + | 50.5161i | −1.58071 | + | 1.75556i | ||||
\(829\) | −20.8371 | − | 23.1420i | −0.723704 | − | 0.803754i | 0.263255 | − | 0.964726i | \(-0.415204\pi\) |
−0.986959 | + | 0.160972i | \(0.948537\pi\) | |||||||
\(830\) | 9.71234 | − | 4.32421i | 0.337120 | − | 0.150096i | ||||
\(831\) | 1.10478 | − | 10.5113i | 0.0383244 | − | 0.364633i | ||||
\(832\) | 5.28545 | − | 16.2669i | 0.183240 | − | 0.563955i | ||||
\(833\) | 8.30829 | − | 6.31533i | 0.287865 | − | 0.218813i | ||||
\(834\) | 8.01323 | − | 5.82195i | 0.277476 | − | 0.201598i | ||||
\(835\) | 2.13986 | + | 3.70635i | 0.0740530 | + | 0.128264i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 4.60407 | − | 7.97448i | 0.159140 | − | 0.275638i | ||||
\(838\) | −2.06838 | − | 0.920901i | −0.0714509 | − | 0.0318120i | ||||
\(839\) | 3.17017 | + | 9.75678i | 0.109446 | + | 0.336841i | 0.990748 | − | 0.135712i | \(-0.0433323\pi\) |
−0.881302 | + | 0.472554i | \(0.843332\pi\) | |||||||
\(840\) | −22.6983 | + | 2.63417i | −0.783164 | + | 0.0908875i | ||||
\(841\) | 21.2596 | + | 15.4460i | 0.733090 | + | 0.532621i | ||||
\(842\) | 4.04951 | − | 38.5286i | 0.139555 | − | 1.32778i | ||||
\(843\) | −7.26807 | − | 8.07201i | −0.250326 | − | 0.278015i | ||||
\(844\) | 66.8067 | + | 14.2002i | 2.29958 | + | 0.488791i | ||||
\(845\) | −4.42873 | − | 1.97180i | −0.152353 | − | 0.0678319i | ||||
\(846\) | 9.24992 | 0.318019 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.60540 | 0.0551297 | ||||||||
\(849\) | −14.1564 | − | 6.30283i | −0.485846 | − | 0.216313i | ||||
\(850\) | −0.510764 | − | 0.108566i | −0.0175191 | − | 0.00372379i | ||||
\(851\) | −24.1252 | − | 26.7937i | −0.827000 | − | 0.918476i | ||||
\(852\) | 3.55190 | − | 33.7941i | 0.121686 | − | 1.15777i | ||||
\(853\) | −2.46293 | − | 1.78942i | −0.0843291 | − | 0.0612687i | 0.544822 | − | 0.838552i | \(-0.316597\pi\) |
−0.629151 | + | 0.777283i | \(0.716597\pi\) | |||||||
\(854\) | 33.9500 | − | 78.5276i | 1.16174 | − | 2.68716i | ||||
\(855\) | 11.7382 | + | 36.1263i | 0.401436 | + | 1.23549i | ||||
\(856\) | 31.7622 | + | 14.1414i | 1.08561 | + | 0.483344i | ||||
\(857\) | −24.7766 | + | 42.9143i | −0.846352 | + | 1.46592i | 0.0380904 | + | 0.999274i | \(0.487873\pi\) |
−0.884442 | + | 0.466650i | \(0.845461\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −18.4373 | − | 31.9344i | −0.629074 | − | 1.08959i | −0.987738 | − | 0.156121i | \(-0.950101\pi\) |
0.358664 | − | 0.933467i | \(-0.383232\pi\) | |||||||
\(860\) | −39.5015 | + | 28.6995i | −1.34699 | + | 0.978646i | ||||
\(861\) | 4.64006 | + | 20.7250i | 0.158133 | + | 0.706307i | ||||
\(862\) | −2.72202 | + | 8.37751i | −0.0927123 | + | 0.285339i | ||||
\(863\) | 4.85253 | − | 46.1687i | 0.165182 | − | 1.57160i | −0.526992 | − | 0.849870i | \(-0.676680\pi\) |
0.692174 | − | 0.721731i | \(-0.256653\pi\) | |||||||
\(864\) | −7.66172 | + | 3.41122i | −0.260657 | + | 0.116052i | ||||
\(865\) | 9.48787 | + | 10.5373i | 0.322597 | + | 0.358280i | ||||
\(866\) | −29.4103 | + | 32.6634i | −0.999402 | + | 1.10995i | ||||
\(867\) | −8.53042 | + | 6.19771i | −0.289708 | + | 0.210485i | ||||
\(868\) | 15.1372 | − | 21.3157i | 0.513792 | − | 0.723501i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 3.23181 | + | 5.59766i | 0.109569 | + | 0.189778i | ||||
\(871\) | −1.57093 | − | 14.9464i | −0.0532290 | − | 0.506440i | ||||
\(872\) | −15.1130 | − | 3.21236i | −0.511789 | − | 0.108784i | ||||
\(873\) | 4.53027 | − | 0.962938i | 0.153326 | − | 0.0325905i | ||||
\(874\) | −90.4871 | − | 65.7428i | −3.06077 | − | 2.22378i | ||||
\(875\) | 5.91600 | − | 29.3921i | 0.199997 | − | 0.993635i | ||||
\(876\) | 7.94269 | − | 24.4451i | 0.268358 | − | 0.825922i | ||||
\(877\) | 26.1168 | − | 29.0057i | 0.881902 | − | 0.979452i | −0.118006 | − | 0.993013i | \(-0.537650\pi\) |
0.999908 | + | 0.0135611i | \(0.00431676\pi\) | |||||||
\(878\) | 3.91259 | + | 37.2258i | 0.132043 | + | 1.25631i | ||||
\(879\) | 3.96997 | − | 6.87620i | 0.133904 | − | 0.231928i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −44.0049 | −1.48256 | −0.741281 | − | 0.671194i | \(-0.765782\pi\) | ||||
−0.741281 | + | 0.671194i | \(0.765782\pi\) | |||||||
\(882\) | 35.6802 | + | 24.7621i | 1.20141 | + | 0.833782i | ||||
\(883\) | −7.21850 | − | 22.2163i | −0.242922 | − | 0.747637i | −0.995971 | − | 0.0896726i | \(-0.971418\pi\) |
0.753049 | − | 0.657964i | \(-0.228582\pi\) | |||||||
\(884\) | 20.1500 | − | 4.28302i | 0.677718 | − | 0.144053i | ||||
\(885\) | 18.1898 | − | 8.09862i | 0.611443 | − | 0.272232i | ||||
\(886\) | −30.0884 | + | 13.3962i | −1.01084 | + | 0.450055i | ||||
\(887\) | −41.0016 | + | 8.71516i | −1.37670 | + | 0.292626i | −0.836065 | − | 0.548631i | \(-0.815149\pi\) |
−0.540635 | + | 0.841258i | \(0.681816\pi\) | |||||||
\(888\) | −6.72507 | − | 20.6976i | −0.225679 | − | 0.694567i | ||||
\(889\) | −28.5358 | − | 16.0662i | −0.957061 | − | 0.538843i | ||||
\(890\) | −17.5949 | −0.589783 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −6.38343 | + | 11.0564i | −0.213733 | + | 0.370196i | ||||
\(893\) | 1.07808 | + | 10.2572i | 0.0360764 | + | 0.343244i | ||||
\(894\) | −1.18926 | + | 1.32081i | −0.0397749 | + | 0.0441745i | ||||
\(895\) | −2.44275 | + | 7.51801i | −0.0816521 | + | 0.251299i | ||||
\(896\) | 43.2371 | − | 14.5674i | 1.44445 | − | 0.486663i | ||||
\(897\) | −12.3142 | − | 8.94678i | −0.411159 | − | 0.298724i | ||||
\(898\) | −24.1417 | + | 5.13148i | −0.805620 | + | 0.171240i | ||||
\(899\) | −3.79260 | − | 0.806141i | −0.126490 | − | 0.0268863i | ||||
\(900\) | −0.153928 | − | 1.46452i | −0.00513092 | − | 0.0488175i | ||||
\(901\) | −0.227159 | − | 0.393451i | −0.00756776 | − | 0.0131078i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −9.90170 | − | 0.932559i | −0.329508 | − | 0.0310336i | ||||
\(904\) | −56.6550 | + | 41.1623i | −1.88432 | + | 1.36904i | ||||
\(905\) | 18.0151 | − | 20.0078i | 0.598843 | − | 0.665082i | ||||
\(906\) | 17.6500 | + | 19.6023i | 0.586382 | + | 0.651243i | ||||
\(907\) | −18.7442 | + | 8.34547i | −0.622392 | + | 0.277107i | −0.693606 | − | 0.720354i | \(-0.743979\pi\) |
0.0712145 | + | 0.997461i | \(0.477313\pi\) | |||||||
\(908\) | −8.10800 | + | 77.1424i | −0.269073 | + | 2.56006i | ||||
\(909\) | −4.65335 | + | 14.3215i | −0.154342 | + | 0.475015i | ||||
\(910\) | 10.4310 | + | 46.5905i | 0.345784 | + | 1.54446i | ||||
\(911\) | −22.3899 | + | 16.2672i | −0.741812 | + | 0.538958i | −0.893278 | − | 0.449505i | \(-0.851601\pi\) |
0.151466 | + | 0.988462i | \(0.451601\pi\) | |||||||
\(912\) | −13.0025 | − | 22.5209i | −0.430554 | − | 0.745742i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 12.8840 | − | 22.3158i | 0.426165 | − | 0.738140i | ||||
\(915\) | 18.6539 | + | 8.30527i | 0.616680 | + | 0.274564i | ||||
\(916\) | −33.1302 | − | 101.964i | −1.09465 | − | 3.36899i | ||||
\(917\) | 1.19793 | + | 1.61186i | 0.0395592 | + | 0.0532283i | ||||
\(918\) | 11.7707 | + | 8.55193i | 0.388492 | + | 0.282256i | ||||
\(919\) | −0.100708 | + | 0.958177i | −0.00332206 | + | 0.0316073i | −0.996057 | − | 0.0887116i | \(-0.971725\pi\) |
0.992735 | + | 0.120319i | \(0.0383917\pi\) | |||||||
\(920\) | −52.5708 | − | 58.3858i | −1.73321 | − | 1.92492i | ||||
\(921\) | 17.4385 | + | 3.70667i | 0.574618 | + | 0.122139i | ||||
\(922\) | 34.9001 | + | 15.5385i | 1.14937 | + | 0.511734i | ||||
\(923\) | −37.2249 | −1.22527 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.781061 | 0.0256811 | ||||||||
\(926\) | 57.1867 | + | 25.4612i | 1.87927 | + | 0.836706i | ||||
\(927\) | −2.59185 | − | 0.550914i | −0.0851274 | − | 0.0180944i | ||||
\(928\) | 2.36302 | + | 2.62440i | 0.0775699 | + | 0.0861501i | ||||
\(929\) | −2.75244 | + | 26.1877i | −0.0903047 | + | 0.859191i | 0.851799 | + | 0.523869i | \(0.175512\pi\) |
−0.942103 | + | 0.335322i | \(0.891155\pi\) | |||||||
\(930\) | 7.44954 | + | 5.41241i | 0.244280 | + | 0.177480i | ||||
\(931\) | −23.3001 | + | 42.4517i | −0.763629 | + | 1.39130i | ||||
\(932\) | 4.95995 | + | 15.2652i | 0.162469 | + | 0.500027i | ||||
\(933\) | −22.6458 | − | 10.0825i | −0.741389 | − | 0.330088i | ||||
\(934\) | −0.929110 | + | 1.60927i | −0.0304014 | + | 0.0526568i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 22.4745 | + | 38.9269i | 0.734601 | + | 1.27237i | ||||
\(937\) | 17.3020 | − | 12.5706i | 0.565232 | − | 0.410665i | −0.268138 | − | 0.963381i | \(-0.586408\pi\) |
0.833370 | + | 0.552715i | \(0.186408\pi\) | |||||||
\(938\) | 22.1764 | − | 20.4063i | 0.724085 | − | 0.666289i | ||||
\(939\) | −5.22783 | + | 16.0896i | −0.170604 | + | 0.525064i | ||||
\(940\) | −1.44433 | + | 13.7419i | −0.0471090 | + | 0.448212i | ||||
\(941\) | 13.5413 | − | 6.02899i | 0.441435 | − | 0.196540i | −0.173969 | − | 0.984751i | \(-0.555659\pi\) |
0.615404 | + | 0.788212i | \(0.288993\pi\) | |||||||
\(942\) | 7.60002 | + | 8.44068i | 0.247622 | + | 0.275012i | ||||
\(943\) | −48.8610 | + | 54.2657i | −1.59113 | + | 1.76713i | ||||
\(944\) | 53.9522 | − | 39.1985i | 1.75599 | − | 1.27580i | ||||
\(945\) | −13.2305 | + | 18.6307i | −0.430389 | + | 0.606056i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −15.8560 | − | 27.4634i | −0.515251 | − | 0.892442i | −0.999843 | − | 0.0177013i | \(-0.994365\pi\) |
0.484592 | − | 0.874740i | \(-0.338968\pi\) | |||||||
\(948\) | 1.45236 | + | 13.8183i | 0.0471706 | + | 0.448798i | ||||
\(949\) | −27.5421 | − | 5.85425i | −0.894054 | − | 0.190037i | ||||
\(950\) | 2.37006 | − | 0.503771i | 0.0768949 | − | 0.0163445i | ||||
\(951\) | 11.3588 | + | 8.25267i | 0.368335 | + | 0.267611i | ||||
\(952\) | 16.2512 | + | 14.3174i | 0.526703 | + | 0.464030i | ||||
\(953\) | 15.4391 | − | 47.5166i | 0.500121 | − | 1.53922i | −0.308699 | − | 0.951160i | \(-0.599894\pi\) |
0.808821 | − | 0.588055i | \(-0.200106\pi\) | |||||||
\(954\) | 1.26512 | − | 1.40506i | 0.0409599 | − | 0.0454906i | ||||
\(955\) | −2.79026 | − | 26.5475i | −0.0902906 | − | 0.859058i | ||||
\(956\) | −27.3365 | + | 47.3481i | −0.884124 | + | 1.53135i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 50.0988 | 1.61862 | ||||||||
\(959\) | 13.2993 | − | 7.87136i | 0.429458 | − | 0.254179i | ||||
\(960\) | 2.52965 | + | 7.78547i | 0.0816442 | + | 0.251275i | ||||
\(961\) | 24.9196 | − | 5.29683i | 0.803858 | − | 0.170865i | ||||
\(962\) | −41.5399 | + | 18.4948i | −1.33930 | + | 0.596295i | ||||
\(963\) | 14.4085 | − | 6.41509i | 0.464308 | − | 0.206723i | ||||
\(964\) | 1.85303 | − | 0.393875i | 0.0596822 | − | 0.0126858i | ||||
\(965\) | −8.13346 | − | 25.0322i | −0.261825 | − | 0.805816i | ||||
\(966\) | −0.330096 | − | 30.5206i | −0.0106207 | − | 0.981984i | ||||
\(967\) | −52.4581 | −1.68694 | −0.843469 | − | 0.537178i | \(-0.819490\pi\) | ||||
−0.843469 | + | 0.537178i | \(0.819490\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.67961 | + | 6.37327i | −0.118206 | + | 0.204739i | ||||
\(970\) | 1.06720 | + | 10.1537i | 0.0342656 | + | 0.326016i | ||||
\(971\) | 20.6270 | − | 22.9086i | 0.661952 | − | 0.735172i | −0.314891 | − | 0.949128i | \(-0.601968\pi\) |
0.976843 | + | 0.213955i | \(0.0686347\pi\) | |||||||
\(972\) | −19.6067 | + | 60.3433i | −0.628887 | + | 1.93551i | ||||
\(973\) | 2.90941 | − | 14.4547i | 0.0932715 | − | 0.463396i | ||||
\(974\) | −8.56422 | − | 6.22227i | −0.274415 | − | 0.199374i | ||||
\(975\) | 0.322536 | − | 0.0685571i | 0.0103294 | − | 0.00219558i | ||||
\(976\) | 66.8957 | + | 14.2191i | 2.14128 | + | 0.455143i | ||||
\(977\) | −2.58557 | − | 24.6000i | −0.0827197 | − | 0.787025i | −0.954717 | − | 0.297515i | \(-0.903842\pi\) |
0.871998 | − | 0.489510i | \(-0.162824\pi\) | |||||||
\(978\) | −8.83791 | − | 15.3077i | −0.282605 | − | 0.489487i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −42.3585 | + | 49.1409i | −1.35309 | + | 1.56975i | ||||
\(981\) | −5.67038 | + | 4.11977i | −0.181041 | + | 0.131534i | ||||
\(982\) | −50.5479 | + | 56.1392i | −1.61305 | + | 1.79147i | ||||
\(983\) | 8.17935 | + | 9.08408i | 0.260881 | + | 0.289737i | 0.859328 | − | 0.511425i | \(-0.170882\pi\) |
−0.598447 | + | 0.801162i | \(0.704215\pi\) | |||||||
\(984\) | −40.2659 | + | 17.9275i | −1.28363 | + | 0.571509i | ||||
\(985\) | −2.80254 | + | 26.6644i | −0.0892965 | + | 0.849599i | ||||
\(986\) | 1.89316 | − | 5.82656i | 0.0602906 | − | 0.185556i | ||||
\(987\) | −2.07110 | + | 1.90579i | −0.0659240 | + | 0.0606620i | ||||
\(988\) | −77.3334 | + | 56.1860i | −2.46030 | + | 1.78752i | ||||
\(989\) | −17.0975 | − | 29.6138i | −0.543670 | − | 0.941665i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.30008 | + | 3.98386i | −0.0730645 | + | 0.126552i | −0.900243 | − | 0.435388i | \(-0.856611\pi\) |
0.827178 | + | 0.561939i | \(0.189945\pi\) | |||||||
\(992\) | 4.59603 | + | 2.04628i | 0.145924 | + | 0.0649695i | ||||
\(993\) | 6.21573 | + | 19.1301i | 0.197250 | + | 0.607074i | ||||
\(994\) | −44.5261 | − | 59.9115i | −1.41228 | − | 1.90028i | ||||
\(995\) | −3.39720 | − | 2.46821i | −0.107698 | − | 0.0782475i | ||||
\(996\) | −0.607168 | + | 5.77682i | −0.0192389 | + | 0.183045i | ||||
\(997\) | −23.0692 | − | 25.6209i | −0.730608 | − | 0.811422i | 0.257322 | − | 0.966326i | \(-0.417160\pi\) |
−0.987930 | + | 0.154904i | \(0.950493\pi\) | |||||||
\(998\) | 35.1852 | + | 7.47885i | 1.11377 | + | 0.236739i | ||||
\(999\) | −19.8813 | − | 8.85172i | −0.629016 | − | 0.280056i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))