Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(3,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([63, 130]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bi (of order \(180\), degree \(48\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(2400\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Character | \(\chi\) | \(=\) | 950.3 |
Dual form | 950.2.bi.a.317.4 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974370 | − | 0.224951i | −0.688984 | − | 0.159064i | ||||
\(3\) | −2.06215 | + | 1.14307i | −1.19058 | + | 0.659949i | −0.950476 | − | 0.310798i | \(-0.899404\pi\) |
−0.240104 | + | 0.970747i | \(0.577182\pi\) | |||||||
\(4\) | 0.898794 | + | 0.438371i | 0.449397 | + | 0.219186i | ||||
\(5\) | −1.23872 | + | 1.86160i | −0.553975 | + | 0.832534i | ||||
\(6\) | 2.26643 | − | 0.649887i | 0.925265 | − | 0.265315i | ||||
\(7\) | −4.76696 | − | 1.27730i | −1.80174 | − | 0.482776i | −0.807495 | − | 0.589875i | \(-0.799177\pi\) |
−0.994248 | + | 0.107099i | \(0.965844\pi\) | |||||||
\(8\) | −0.777146 | − | 0.629320i | −0.274763 | − | 0.222498i | ||||
\(9\) | 1.35609 | − | 2.17019i | 0.452029 | − | 0.723397i | ||||
\(10\) | 1.62575 | − | 1.53524i | 0.514106 | − | 0.485484i | ||||
\(11\) | −3.58909 | − | 3.98609i | −1.08215 | − | 1.20185i | −0.978286 | − | 0.207261i | \(-0.933545\pi\) |
−0.103867 | − | 0.994591i | \(-0.533121\pi\) | |||||||
\(12\) | −2.35453 | + | 0.123396i | −0.679695 | + | 0.0356213i | ||||
\(13\) | 0.0611615 | + | 0.0655877i | 0.0169632 | + | 0.0181908i | 0.739779 | − | 0.672850i | \(-0.234930\pi\) |
−0.722816 | + | 0.691041i | \(0.757152\pi\) | |||||||
\(14\) | 4.35746 | + | 2.31690i | 1.16458 | + | 0.619218i | ||||
\(15\) | 0.426498 | − | 5.25484i | 0.110121 | − | 1.35679i | ||||
\(16\) | 0.615661 | + | 0.788011i | 0.153915 | + | 0.197003i | ||||
\(17\) | −1.56143 | + | 1.35733i | −0.378702 | + | 0.329201i | −0.824426 | − | 0.565970i | \(-0.808502\pi\) |
0.445724 | + | 0.895171i | \(0.352946\pi\) | |||||||
\(18\) | −1.80952 | + | 1.80952i | −0.426507 | + | 0.426507i | ||||
\(19\) | 3.07262 | − | 3.09176i | 0.704907 | − | 0.709300i | ||||
\(20\) | −1.92943 | + | 1.13018i | −0.431434 | + | 0.252715i | ||||
\(21\) | 11.2902 | − | 2.81497i | 2.46373 | − | 0.614276i | ||||
\(22\) | 2.60043 | + | 4.69130i | 0.554413 | + | 1.00019i | ||||
\(23\) | 0.202218 | + | 0.268352i | 0.0421654 | + | 0.0559553i | 0.819228 | − | 0.573468i | \(-0.194402\pi\) |
−0.777063 | + | 0.629423i | \(0.783291\pi\) | |||||||
\(24\) | 2.32194 | + | 0.409421i | 0.473965 | + | 0.0835727i | ||||
\(25\) | −1.93112 | − | 4.61202i | −0.386224 | − | 0.922405i | ||||
\(26\) | −0.0448399 | − | 0.0776650i | −0.00879383 | − | 0.0152314i | ||||
\(27\) | 0.0544122 | − | 1.03825i | 0.0104716 | − | 0.199811i | ||||
\(28\) | −3.72459 | − | 3.23773i | −0.703881 | − | 0.611874i | ||||
\(29\) | −1.37442 | + | 0.0961089i | −0.255224 | + | 0.0178470i | −0.196795 | − | 0.980445i | \(-0.563053\pi\) |
−0.0584285 | + | 0.998292i | \(0.518609\pi\) | |||||||
\(30\) | −1.59765 | + | 5.02422i | −0.291689 | + | 0.917292i | ||||
\(31\) | −1.81726 | + | 4.08163i | −0.326389 | + | 0.733082i | −0.999982 | − | 0.00602092i | \(-0.998083\pi\) |
0.673593 | + | 0.739103i | \(0.264750\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | 11.9576 | + | 4.11733i | 2.08155 | + | 0.716735i | ||||
\(34\) | 1.82674 | − | 0.971297i | 0.313284 | − | 0.166576i | ||||
\(35\) | 8.28279 | − | 7.29196i | 1.40005 | − | 1.23257i | ||||
\(36\) | 2.17019 | − | 1.35609i | 0.361699 | − | 0.226014i | ||||
\(37\) | −3.30333 | + | 6.48315i | −0.543064 | + | 1.06582i | 0.442539 | + | 0.896749i | \(0.354078\pi\) |
−0.985603 | + | 0.169074i | \(0.945922\pi\) | |||||||
\(38\) | −3.68936 | + | 2.32133i | −0.598494 | + | 0.376570i | ||||
\(39\) | −0.201095 | − | 0.0653397i | −0.0322010 | − | 0.0104627i | ||||
\(40\) | 2.13421 | − | 0.667181i | 0.337449 | − | 0.105491i | ||||
\(41\) | −5.30804 | + | 4.14710i | −0.828977 | + | 0.647668i | −0.938101 | − | 0.346361i | \(-0.887417\pi\) |
0.109125 | + | 0.994028i | \(0.465195\pi\) | |||||||
\(42\) | −11.6341 | + | 0.203074i | −1.79518 | + | 0.0313349i | ||||
\(43\) | −5.72103 | + | 4.00591i | −0.872449 | + | 0.610896i | −0.921705 | − | 0.387891i | \(-0.873204\pi\) |
0.0492561 | + | 0.998786i | \(0.484315\pi\) | |||||||
\(44\) | −1.47847 | − | 5.15603i | −0.222887 | − | 0.777301i | ||||
\(45\) | 2.36021 | + | 5.21276i | 0.351840 | + | 0.777073i | ||||
\(46\) | −0.136669 | − | 0.306964i | −0.0201507 | − | 0.0452593i | ||||
\(47\) | −5.17925 | + | 5.95805i | −0.755472 | + | 0.869071i | −0.994798 | − | 0.101869i | \(-0.967518\pi\) |
0.239326 | + | 0.970939i | \(0.423073\pi\) | |||||||
\(48\) | −2.17033 | − | 0.921251i | −0.313260 | − | 0.132971i | ||||
\(49\) | 15.0303 | + | 8.67773i | 2.14718 | + | 1.23968i | ||||
\(50\) | 0.844147 | + | 4.92823i | 0.119380 | + | 0.696956i | ||||
\(51\) | 1.66838 | − | 4.58383i | 0.233620 | − | 0.641865i | ||||
\(52\) | 0.0262199 | + | 0.0857613i | 0.00363604 | + | 0.0118929i | ||||
\(53\) | 0.298423 | + | 0.866684i | 0.0409916 | + | 0.119048i | 0.964139 | − | 0.265398i | \(-0.0855034\pi\) |
−0.923147 | + | 0.384446i | \(0.874392\pi\) | |||||||
\(54\) | −0.286572 | + | 0.999396i | −0.0389976 | + | 0.136001i | ||||
\(55\) | 11.8664 | − | 1.74379i | 1.60007 | − | 0.235133i | ||||
\(56\) | 2.90079 | + | 3.99260i | 0.387635 | + | 0.533534i | ||||
\(57\) | −2.80210 | + | 9.88787i | −0.371147 | + | 1.30968i | ||||
\(58\) | 1.36081 | + | 0.215532i | 0.178684 | + | 0.0283007i | ||||
\(59\) | −1.16130 | + | 2.87432i | −0.151189 | + | 0.374205i | −0.983704 | − | 0.179797i | \(-0.942456\pi\) |
0.832515 | + | 0.554003i | \(0.186900\pi\) | |||||||
\(60\) | 2.68690 | − | 4.53605i | 0.346878 | − | 0.585602i | ||||
\(61\) | 0.360258 | + | 0.0506310i | 0.0461263 | + | 0.00648263i | 0.162199 | − | 0.986758i | \(-0.448142\pi\) |
−0.116072 | + | 0.993241i | \(0.537030\pi\) | |||||||
\(62\) | 2.68885 | − | 3.56822i | 0.341484 | − | 0.453164i | ||||
\(63\) | −9.23641 | + | 8.61309i | −1.16368 | + | 1.08515i | ||||
\(64\) | 0.207912 | + | 0.978148i | 0.0259890 | + | 0.122268i | ||||
\(65\) | −0.197860 | + | 0.0326133i | −0.0245416 | + | 0.00404518i | ||||
\(66\) | −10.7249 | − | 6.70168i | −1.32015 | − | 0.824920i | ||||
\(67\) | 8.73361 | − | 5.24768i | 1.06698 | − | 0.641107i | 0.130365 | − | 0.991466i | \(-0.458385\pi\) |
0.936615 | + | 0.350359i | \(0.113941\pi\) | |||||||
\(68\) | −1.99842 | + | 0.535475i | −0.242344 | + | 0.0649358i | ||||
\(69\) | −0.723747 | − | 0.322233i | −0.0871289 | − | 0.0387923i | ||||
\(70\) | −9.71084 | + | 5.24185i | −1.16067 | + | 0.626520i | ||||
\(71\) | −5.40172 | − | 5.59365i | −0.641067 | − | 0.663844i | 0.317650 | − | 0.948208i | \(-0.397106\pi\) |
−0.958716 | + | 0.284364i | \(0.908218\pi\) | |||||||
\(72\) | −2.41962 | + | 0.833143i | −0.285155 | + | 0.0981868i | ||||
\(73\) | 5.82868 | − | 6.25050i | 0.682196 | − | 0.731565i | −0.292212 | − | 0.956354i | \(-0.594391\pi\) |
0.974408 | + | 0.224788i | \(0.0721691\pi\) | |||||||
\(74\) | 4.67706 | − | 5.57390i | 0.543697 | − | 0.647952i | ||||
\(75\) | 9.25410 | + | 7.30327i | 1.06857 | + | 0.843309i | ||||
\(76\) | 4.11699 | − | 1.43191i | 0.472251 | − | 0.164252i | ||||
\(77\) | 12.0176 | + | 23.5859i | 1.36954 | + | 2.68787i | ||||
\(78\) | 0.181243 | + | 0.108902i | 0.0205217 | + | 0.0123307i | ||||
\(79\) | 2.81509 | + | 0.807215i | 0.316723 | + | 0.0908187i | 0.430232 | − | 0.902718i | \(-0.358432\pi\) |
−0.113510 | + | 0.993537i | \(0.536209\pi\) | |||||||
\(80\) | −2.22960 | + | 0.169988i | −0.249277 | + | 0.0190052i | ||||
\(81\) | 4.44001 | + | 9.10337i | 0.493334 | + | 1.01149i | ||||
\(82\) | 6.10489 | − | 2.84676i | 0.674172 | − | 0.314372i | ||||
\(83\) | −1.61287 | − | 4.20166i | −0.177035 | − | 0.461192i | 0.816136 | − | 0.577860i | \(-0.196112\pi\) |
−0.993171 | + | 0.116668i | \(0.962779\pi\) | |||||||
\(84\) | 11.3816 | + | 2.41923i | 1.24183 | + | 0.263960i | ||||
\(85\) | −0.592626 | − | 4.58812i | −0.0642793 | − | 0.497651i | ||||
\(86\) | 6.47554 | − | 2.61629i | 0.698275 | − | 0.282121i | ||||
\(87\) | 2.72440 | − | 1.76924i | 0.292086 | − | 0.189683i | ||||
\(88\) | 0.280720 | + | 5.35646i | 0.0299249 | + | 0.571001i | ||||
\(89\) | 8.26592 | − | 10.5799i | 0.876186 | − | 1.12147i | −0.115567 | − | 0.993300i | \(-0.536868\pi\) |
0.991753 | − | 0.128167i | \(-0.0409093\pi\) | |||||||
\(90\) | −1.12711 | − | 5.61009i | −0.118807 | − | 0.591356i | ||||
\(91\) | −0.207779 | − | 0.390776i | −0.0217812 | − | 0.0409645i | ||||
\(92\) | 0.0641144 | + | 0.329840i | 0.00668439 | + | 0.0343882i | ||||
\(93\) | −0.918119 | − | 10.4942i | −0.0952045 | − | 1.08819i | ||||
\(94\) | 6.38678 | − | 4.64027i | 0.658746 | − | 0.478607i | ||||
\(95\) | 1.94950 | + | 9.54984i | 0.200015 | + | 0.979793i | ||||
\(96\) | 1.90747 | + | 1.38586i | 0.194680 | + | 0.141444i | ||||
\(97\) | 6.16373 | − | 10.2582i | 0.625832 | − | 1.04156i | −0.367911 | − | 0.929861i | \(-0.619927\pi\) |
0.993742 | − | 0.111698i | \(-0.0356288\pi\) | |||||||
\(98\) | −12.6930 | − | 11.8364i | −1.28218 | − | 1.19566i | ||||
\(99\) | −13.5177 | + | 2.38354i | −1.35858 | + | 0.239554i | ||||
\(100\) | 0.286098 | − | 4.99181i | 0.0286098 | − | 0.499181i | ||||
\(101\) | 5.23682 | + | 1.90605i | 0.521083 | + | 0.189659i | 0.589152 | − | 0.808022i | \(-0.299462\pi\) |
−0.0680697 | + | 0.997681i | \(0.521684\pi\) | |||||||
\(102\) | −2.65675 | + | 4.09104i | −0.263058 | + | 0.405074i | ||||
\(103\) | 4.40296 | − | 11.4701i | 0.433837 | − | 1.13018i | −0.526212 | − | 0.850353i | \(-0.676388\pi\) |
0.960049 | − | 0.279831i | \(-0.0902783\pi\) | |||||||
\(104\) | −0.00625575 | − | 0.0894614i | −0.000613427 | − | 0.00877241i | ||||
\(105\) | −8.74513 | + | 24.5049i | −0.853437 | + | 2.39143i | ||||
\(106\) | −0.0958132 | − | 0.911602i | −0.00930620 | − | 0.0885426i | ||||
\(107\) | −4.35833 | + | 16.2655i | −0.421336 | + | 1.57245i | 0.350461 | + | 0.936577i | \(0.386025\pi\) |
−0.771797 | + | 0.635869i | \(0.780642\pi\) | |||||||
\(108\) | 0.504043 | − | 0.909317i | 0.0485015 | − | 0.0874991i | ||||
\(109\) | −13.0007 | + | 1.82713i | −1.24524 | + | 0.175007i | −0.730843 | − | 0.682545i | \(-0.760873\pi\) |
−0.514397 | + | 0.857552i | \(0.671984\pi\) | |||||||
\(110\) | −11.9545 | − | 0.970265i | −1.13982 | − | 0.0925112i | ||||
\(111\) | −0.598721 | − | 17.1451i | −0.0568280 | − | 1.62734i | ||||
\(112\) | −1.92831 | − | 4.54281i | −0.182208 | − | 0.429255i | ||||
\(113\) | −3.59199 | − | 1.83021i | −0.337906 | − | 0.172171i | 0.276801 | − | 0.960927i | \(-0.410726\pi\) |
−0.614707 | + | 0.788756i | \(0.710726\pi\) | |||||||
\(114\) | 4.95457 | − | 9.00411i | 0.464038 | − | 0.843313i | ||||
\(115\) | −0.750057 | + | 0.0440346i | −0.0699432 | + | 0.00410625i | ||||
\(116\) | −1.27745 | − | 0.516125i | −0.118609 | − | 0.0479210i | ||||
\(117\) | 0.225278 | − | 0.0437896i | 0.0208270 | − | 0.00404835i | ||||
\(118\) | 1.77812 | − | 2.53942i | 0.163689 | − | 0.233772i | ||||
\(119\) | 9.17700 | − | 4.47592i | 0.841255 | − | 0.410307i | ||||
\(120\) | −3.63843 | + | 3.81537i | −0.332141 | + | 0.348294i | ||||
\(121\) | −1.85753 | + | 17.6732i | −0.168866 | + | 1.60665i | ||||
\(122\) | −0.339635 | − | 0.130374i | −0.0307491 | − | 0.0118035i | ||||
\(123\) | 6.20555 | − | 14.6194i | 0.559535 | − | 1.31818i | ||||
\(124\) | −3.42261 | + | 2.87191i | −0.307359 | + | 0.257905i | ||||
\(125\) | 10.9779 | + | 2.11805i | 0.981891 | + | 0.189444i | ||||
\(126\) | 10.9372 | − | 6.31460i | 0.974364 | − | 0.562549i | ||||
\(127\) | 19.8789 | − | 2.44082i | 1.76396 | − | 0.216588i | 0.826084 | − | 0.563547i | \(-0.190564\pi\) |
0.937880 | + | 0.346960i | \(0.112786\pi\) | |||||||
\(128\) | 0.0174524 | − | 0.999848i | 0.00154259 | − | 0.0883749i | ||||
\(129\) | 7.21858 | − | 14.8003i | 0.635561 | − | 1.30309i | ||||
\(130\) | 0.200126 | + | 0.0127315i | 0.0175522 | + | 0.00111663i | ||||
\(131\) | 10.0075 | + | 0.699794i | 0.874362 | + | 0.0611413i | 0.499882 | − | 0.866094i | \(-0.333377\pi\) |
0.374480 | + | 0.927235i | \(0.377821\pi\) | |||||||
\(132\) | 8.94250 | + | 8.94250i | 0.778345 | + | 0.778345i | ||||
\(133\) | −18.5962 | + | 10.8137i | −1.61249 | + | 0.937663i | ||||
\(134\) | −9.69024 | + | 3.14855i | −0.837109 | + | 0.271993i | ||||
\(135\) | 1.86540 | + | 1.38740i | 0.160548 | + | 0.119408i | ||||
\(136\) | 2.06765 | − | 0.0722041i | 0.177300 | − | 0.00619145i | ||||
\(137\) | −4.78191 | + | 15.6409i | −0.408547 | + | 1.33630i | 0.479903 | + | 0.877321i | \(0.340672\pi\) |
−0.888450 | + | 0.458974i | \(0.848217\pi\) | |||||||
\(138\) | 0.632711 | + | 0.476782i | 0.0538599 | + | 0.0405864i | ||||
\(139\) | 15.3731 | + | 12.0108i | 1.30393 | + | 1.01874i | 0.997769 | + | 0.0667659i | \(0.0212681\pi\) |
0.306165 | + | 0.951979i | \(0.400954\pi\) | |||||||
\(140\) | 10.6411 | − | 2.92303i | 0.899338 | − | 0.247041i | ||||
\(141\) | 3.86993 | − | 18.2066i | 0.325907 | − | 1.53327i | ||||
\(142\) | 4.00498 | + | 6.66541i | 0.336091 | + | 0.559349i | ||||
\(143\) | 0.0419242 | − | 0.479196i | 0.00350588 | − | 0.0400724i | ||||
\(144\) | 2.54502 | − | 0.267493i | 0.212085 | − | 0.0222911i | ||||
\(145\) | 1.52361 | − | 2.67768i | 0.126529 | − | 0.222369i | ||||
\(146\) | −7.08535 | + | 4.77913i | −0.586388 | + | 0.395523i | ||||
\(147\) | −40.9138 | − | 0.714153i | −3.37451 | − | 0.0589024i | ||||
\(148\) | −5.81104 | + | 4.37893i | −0.477664 | + | 0.359946i | ||||
\(149\) | 5.23422 | + | 14.3809i | 0.428804 | + | 1.17813i | 0.946539 | + | 0.322589i | \(0.104553\pi\) |
−0.517735 | + | 0.855541i | \(0.673225\pi\) | |||||||
\(150\) | −7.37404 | − | 9.19780i | −0.602088 | − | 0.750998i | ||||
\(151\) | − | 4.33356i | − | 0.352660i | −0.984331 | − | 0.176330i | \(-0.943577\pi\) | ||
0.984331 | − | 0.176330i | \(-0.0564226\pi\) | |||||||
\(152\) | −4.33358 | + | 0.469091i | −0.351500 | + | 0.0380483i | ||||
\(153\) | 0.828233 | + | 5.22926i | 0.0669587 | + | 0.422761i | ||||
\(154\) | −6.40394 | − | 25.6848i | −0.516044 | − | 2.06974i | ||||
\(155\) | −5.34728 | − | 8.43902i | −0.429504 | − | 0.677838i | ||||
\(156\) | −0.152100 | − | 0.146881i | −0.0121777 | − | 0.0117599i | ||||
\(157\) | −5.46557 | − | 7.80565i | −0.436200 | − | 0.622958i | 0.539522 | − | 0.841972i | \(-0.318605\pi\) |
−0.975722 | + | 0.219013i | \(0.929716\pi\) | |||||||
\(158\) | −2.56136 | − | 1.41978i | −0.203771 | − | 0.112952i | ||||
\(159\) | −1.60607 | − | 1.44611i | −0.127370 | − | 0.114684i | ||||
\(160\) | 2.21069 | + | 0.335919i | 0.174771 | + | 0.0265567i | ||||
\(161\) | −0.621198 | − | 1.53752i | −0.0489573 | − | 0.121174i | ||||
\(162\) | −2.27840 | − | 9.86884i | −0.179008 | − | 0.775369i | ||||
\(163\) | −2.64815 | − | 4.07779i | −0.207419 | − | 0.319397i | 0.719616 | − | 0.694372i | \(-0.244318\pi\) |
−0.927035 | + | 0.374975i | \(0.877651\pi\) | |||||||
\(164\) | −6.58880 | + | 1.40049i | −0.514499 | + | 0.109360i | ||||
\(165\) | −22.4770 | + | 17.1600i | −1.74983 | + | 1.33591i | ||||
\(166\) | 0.626361 | + | 4.45679i | 0.0486150 | + | 0.345914i | ||||
\(167\) | −0.428287 | − | 24.5365i | −0.0331418 | − | 1.89869i | −0.330316 | − | 0.943870i | \(-0.607155\pi\) |
0.297174 | − | 0.954823i | \(-0.403956\pi\) | |||||||
\(168\) | −10.5457 | − | 4.91752i | −0.813616 | − | 0.379395i | ||||
\(169\) | 0.906273 | − | 12.9603i | 0.0697133 | − | 0.996947i | ||||
\(170\) | −0.454665 | + | 4.60384i | −0.0348712 | + | 0.353098i | ||||
\(171\) | −2.54299 | − | 10.8609i | −0.194467 | − | 0.830552i | ||||
\(172\) | −6.89811 | + | 1.09255i | −0.525976 | + | 0.0833064i | ||||
\(173\) | −0.167784 | + | 0.726754i | −0.0127564 | + | 0.0552541i | −0.980357 | − | 0.197234i | \(-0.936804\pi\) |
0.967600 | + | 0.252488i | \(0.0812487\pi\) | |||||||
\(174\) | −3.05256 | + | 1.11104i | −0.231414 | + | 0.0842279i | ||||
\(175\) | 3.31463 | + | 24.4520i | 0.250562 | + | 1.84840i | ||||
\(176\) | 0.931417 | − | 5.28233i | 0.0702082 | − | 0.398170i | ||||
\(177\) | −0.890768 | − | 7.25472i | −0.0669542 | − | 0.545298i | ||||
\(178\) | −10.4340 | + | 8.44930i | −0.782063 | + | 0.633302i | ||||
\(179\) | −13.8020 | + | 6.14504i | −1.03161 | + | 0.459302i | −0.851505 | − | 0.524346i | \(-0.824310\pi\) |
−0.180103 | + | 0.983648i | \(0.557643\pi\) | |||||||
\(180\) | −0.163778 | + | 5.71985i | −0.0122073 | + | 0.426332i | ||||
\(181\) | −19.9172 | − | 4.96591i | −1.48043 | − | 0.369113i | −0.583803 | − | 0.811895i | \(-0.698436\pi\) |
−0.896629 | + | 0.442782i | \(0.853991\pi\) | |||||||
\(182\) | 0.114548 | + | 0.427501i | 0.00849090 | + | 0.0316885i | ||||
\(183\) | −0.800779 | + | 0.307390i | −0.0591953 | + | 0.0227229i | ||||
\(184\) | 0.0117267 | − | 0.335809i | 0.000864504 | − | 0.0247561i | ||||
\(185\) | −7.97712 | − | 14.1803i | −0.586490 | − | 1.04256i | ||||
\(186\) | −1.46608 | + | 10.4317i | −0.107498 | + | 0.764891i | ||||
\(187\) | 11.0146 | + | 1.35242i | 0.805464 | + | 0.0988986i | ||||
\(188\) | −7.26692 | + | 3.08462i | −0.529994 | + | 0.224969i | ||||
\(189\) | −1.58554 | + | 4.87978i | −0.115331 | + | 0.354952i | ||||
\(190\) | 0.248708 | − | 9.74362i | 0.0180432 | − | 0.706877i | ||||
\(191\) | −0.930081 | − | 2.86250i | −0.0672983 | − | 0.207123i | 0.911752 | − | 0.410741i | \(-0.134730\pi\) |
−0.979050 | + | 0.203618i | \(0.934730\pi\) | |||||||
\(192\) | −1.54683 | − | 1.77943i | −0.111633 | − | 0.128419i | ||||
\(193\) | 5.75020 | − | 12.3313i | 0.413909 | − | 0.887630i | −0.583250 | − | 0.812293i | \(-0.698219\pi\) |
0.997158 | − | 0.0753367i | \(-0.0240032\pi\) | |||||||
\(194\) | −8.31334 | + | 8.60871i | −0.596863 | + | 0.618069i | ||||
\(195\) | 0.370738 | − | 0.293421i | 0.0265491 | − | 0.0210123i | ||||
\(196\) | 9.70505 | + | 14.3883i | 0.693218 | + | 1.02774i | ||||
\(197\) | −1.53442 | − | 1.89485i | −0.109323 | − | 0.135002i | 0.719548 | − | 0.694443i | \(-0.244349\pi\) |
−0.828870 | + | 0.559441i | \(0.811016\pi\) | |||||||
\(198\) | 13.7074 | + | 0.718376i | 0.974144 | + | 0.0510527i | ||||
\(199\) | 12.0229 | + | 14.3283i | 0.852280 | + | 1.01571i | 0.999645 | + | 0.0266262i | \(0.00847637\pi\) |
−0.147365 | + | 0.989082i | \(0.547079\pi\) | |||||||
\(200\) | −1.40168 | + | 4.79951i | −0.0991136 | + | 0.339377i | ||||
\(201\) | −12.0115 | + | 20.8046i | −0.847228 | + | 1.46744i | ||||
\(202\) | −4.67383 | − | 3.03522i | −0.328850 | − | 0.213557i | ||||
\(203\) | 6.67458 | + | 1.29741i | 0.468463 | + | 0.0910601i | ||||
\(204\) | 3.50895 | − | 3.38855i | 0.245675 | − | 0.237246i | ||||
\(205\) | −1.14504 | − | 15.0186i | −0.0799729 | − | 1.04894i | ||||
\(206\) | −6.87033 | + | 10.1857i | −0.478679 | + | 0.709670i | ||||
\(207\) | 0.856601 | − | 0.0749429i | 0.0595379 | − | 0.00520889i | ||||
\(208\) | −0.0140290 | + | 0.0885757i | −0.000972737 | + | 0.00614162i | ||||
\(209\) | −23.3520 | − | 1.15111i | −1.61529 | − | 0.0796240i | ||||
\(210\) | 14.0334 | − | 21.9096i | 0.968395 | − | 1.51190i | ||||
\(211\) | −11.9504 | − | 19.1247i | −0.822702 | − | 1.31660i | −0.945980 | − | 0.324226i | \(-0.894896\pi\) |
0.123278 | − | 0.992372i | \(-0.460659\pi\) | |||||||
\(212\) | −0.111708 | + | 0.909791i | −0.00767216 | + | 0.0624847i | ||||
\(213\) | 17.5331 | + | 5.36039i | 1.20134 | + | 0.367288i | ||||
\(214\) | 7.90557 | − | 14.8682i | 0.540414 | − | 1.01637i | ||||
\(215\) | −0.370623 | − | 15.6125i | −0.0252763 | − | 1.06476i | ||||
\(216\) | −0.695676 | + | 0.772627i | −0.0473348 | + | 0.0525706i | ||||
\(217\) | 13.8763 | − | 17.1358i | 0.941983 | − | 1.16325i | ||||
\(218\) | 13.0785 | + | 1.14422i | 0.885787 | + | 0.0774964i | ||||
\(219\) | −4.87486 | + | 19.5520i | −0.329413 | + | 1.32120i | ||||
\(220\) | 11.4299 | + | 3.63459i | 0.770603 | + | 0.245044i | ||||
\(221\) | −0.184524 | − | 0.0193942i | −0.0124124 | − | 0.00130460i | ||||
\(222\) | −3.27344 | + | 16.8404i | −0.219699 | + | 1.13025i | ||||
\(223\) | 9.52303 | − | 2.91148i | 0.637709 | − | 0.194967i | 0.0432131 | − | 0.999066i | \(-0.486241\pi\) |
0.594496 | + | 0.804099i | \(0.297352\pi\) | |||||||
\(224\) | 0.856975 | + | 4.86015i | 0.0572591 | + | 0.324732i | ||||
\(225\) | −12.6277 | − | 2.06340i | −0.841850 | − | 0.137560i | ||||
\(226\) | 3.08822 | + | 2.59132i | 0.205425 | + | 0.172372i | ||||
\(227\) | −5.59701 | + | 2.85182i | −0.371487 | + | 0.189282i | −0.629760 | − | 0.776790i | \(-0.716847\pi\) |
0.258273 | + | 0.966072i | \(0.416847\pi\) | |||||||
\(228\) | −6.85307 | + | 7.65880i | −0.453855 | + | 0.507217i | ||||
\(229\) | −3.93293 | + | 5.41322i | −0.259895 | + | 0.357715i | −0.918946 | − | 0.394383i | \(-0.870958\pi\) |
0.659051 | + | 0.752099i | \(0.270958\pi\) | |||||||
\(230\) | 0.740739 | + | 0.125820i | 0.0488429 | + | 0.00829634i | ||||
\(231\) | −51.7424 | − | 34.9007i | −3.40440 | − | 2.29629i | ||||
\(232\) | 1.12861 | + | 0.790261i | 0.0740968 | + | 0.0518832i | ||||
\(233\) | 2.27540 | − | 6.60824i | 0.149066 | − | 0.432920i | −0.845875 | − | 0.533382i | \(-0.820921\pi\) |
0.994941 | + | 0.100462i | \(0.0320320\pi\) | |||||||
\(234\) | −0.229355 | − | 0.00800925i | −0.0149934 | − | 0.000523581i | ||||
\(235\) | −4.67584 | − | 17.0221i | −0.305018 | − | 1.11040i | ||||
\(236\) | −2.30379 | + | 2.07434i | −0.149964 | + | 0.135028i | ||||
\(237\) | −6.72783 | + | 1.55324i | −0.437019 | + | 0.100894i | ||||
\(238\) | −9.94866 | + | 2.29683i | −0.644876 | + | 0.148881i | ||||
\(239\) | −13.7612 | + | 12.3906i | −0.890135 | + | 0.801481i | −0.980925 | − | 0.194389i | \(-0.937728\pi\) |
0.0907895 | + | 0.995870i | \(0.471061\pi\) | |||||||
\(240\) | 4.40345 | − | 2.89912i | 0.284241 | − | 0.187137i | ||||
\(241\) | 27.1604 | + | 0.948461i | 1.74955 | + | 0.0610957i | 0.891653 | − | 0.452720i | \(-0.149546\pi\) |
0.857900 | + | 0.513816i | \(0.171769\pi\) | |||||||
\(242\) | 5.78552 | − | 16.8024i | 0.371907 | − | 1.08010i | ||||
\(243\) | −17.0068 | − | 11.9083i | −1.09098 | − | 0.763915i | ||||
\(244\) | 0.301603 | + | 0.203434i | 0.0193081 | + | 0.0130235i | ||||
\(245\) | −34.7728 | + | 17.2310i | −2.22155 | + | 1.10085i | ||||
\(246\) | −9.33514 | + | 12.8487i | −0.595187 | + | 0.819204i | ||||
\(247\) | 0.390708 | + | 0.0124290i | 0.0248601 | + | 0.000790838i | ||||
\(248\) | 3.98092 | − | 2.02838i | 0.252789 | − | 0.128802i | ||||
\(249\) | 8.12874 | + | 6.82082i | 0.515138 | + | 0.432252i | ||||
\(250\) | −10.2201 | − | 4.53325i | −0.646373 | − | 0.286708i | ||||
\(251\) | −4.14751 | − | 23.5217i | −0.261789 | − | 1.48468i | −0.778026 | − | 0.628232i | \(-0.783779\pi\) |
0.516237 | − | 0.856446i | \(-0.327332\pi\) | |||||||
\(252\) | −12.0774 | + | 3.69242i | −0.760802 | + | 0.232601i | ||||
\(253\) | 0.343898 | − | 1.76920i | 0.0216207 | − | 0.111229i | ||||
\(254\) | −19.9184 | − | 2.09351i | −1.24979 | − | 0.131359i | ||||
\(255\) | 6.46660 | + | 8.78396i | 0.404954 | + | 0.550073i | ||||
\(256\) | −0.241922 | + | 0.970296i | −0.0151201 | + | 0.0606435i | ||||
\(257\) | 10.6303 | + | 0.930027i | 0.663097 | + | 0.0580135i | 0.413736 | − | 0.910397i | \(-0.364224\pi\) |
0.249361 | + | 0.968410i | \(0.419779\pi\) | |||||||
\(258\) | −10.3629 | + | 12.7971i | −0.645167 | + | 0.796714i | ||||
\(259\) | 24.0278 | − | 26.6856i | 1.49301 | − | 1.65816i | ||||
\(260\) | −0.192132 | − | 0.0574237i | −0.0119156 | − | 0.00356127i | ||||
\(261\) | −1.65526 | + | 3.11309i | −0.102458 | + | 0.192695i | ||||
\(262\) | −9.59361 | − | 2.93306i | −0.592695 | − | 0.181205i | ||||
\(263\) | −1.60519 | + | 13.0733i | −0.0989805 | + | 0.806132i | 0.857530 | + | 0.514434i | \(0.171998\pi\) |
−0.956511 | + | 0.291698i | \(0.905780\pi\) | |||||||
\(264\) | −6.70168 | − | 10.7249i | −0.412460 | − | 0.660074i | ||||
\(265\) | −1.98309 | − | 0.518038i | −0.121820 | − | 0.0318228i | ||||
\(266\) | 20.5521 | − | 6.35328i | 1.26013 | − | 0.389544i | ||||
\(267\) | −4.95201 | + | 31.2658i | −0.303058 | + | 1.91343i | ||||
\(268\) | 10.1502 | − | 0.888023i | 0.620019 | − | 0.0542447i | ||||
\(269\) | −15.6978 | + | 23.2729i | −0.957110 | + | 1.41897i | −0.0496832 | + | 0.998765i | \(0.515821\pi\) |
−0.907427 | + | 0.420209i | \(0.861957\pi\) | |||||||
\(270\) | −1.50549 | − | 1.77146i | −0.0916214 | − | 0.107808i | ||||
\(271\) | −4.16352 | + | 4.02066i | −0.252916 | + | 0.244238i | −0.810298 | − | 0.586018i | \(-0.800695\pi\) |
0.557382 | + | 0.830256i | \(0.311806\pi\) | |||||||
\(272\) | −2.03090 | − | 0.394768i | −0.123142 | − | 0.0239363i | ||||
\(273\) | 0.875154 | + | 0.568332i | 0.0529667 | + | 0.0343970i | ||||
\(274\) | 8.17780 | − | 14.1644i | 0.494039 | − | 0.855701i | ||||
\(275\) | −11.4530 | + | 24.2506i | −0.690641 | + | 1.46237i | ||||
\(276\) | −0.509242 | − | 0.606891i | −0.0306528 | − | 0.0365305i | ||||
\(277\) | 30.6128 | + | 1.60435i | 1.83935 | + | 0.0963961i | 0.940070 | − | 0.340982i | \(-0.110760\pi\) |
0.899278 | + | 0.437378i | \(0.144093\pi\) | |||||||
\(278\) | −12.2773 | − | 15.1612i | −0.736343 | − | 0.909308i | ||||
\(279\) | 6.39355 | + | 9.47883i | 0.382772 | + | 0.567483i | ||||
\(280\) | −11.0259 | + | 0.454389i | −0.658924 | + | 0.0271549i | ||||
\(281\) | 18.1495 | − | 18.7944i | 1.08271 | − | 1.12118i | 0.0905906 | − | 0.995888i | \(-0.471125\pi\) |
0.992120 | − | 0.125291i | \(-0.0399866\pi\) | |||||||
\(282\) | −7.86634 | + | 16.8694i | −0.468433 | + | 1.00456i | ||||
\(283\) | 10.4829 | + | 12.0592i | 0.623146 | + | 0.716848i | 0.975741 | − | 0.218928i | \(-0.0702561\pi\) |
−0.352595 | + | 0.935776i | \(0.614701\pi\) | |||||||
\(284\) | −2.40294 | − | 7.39550i | −0.142588 | − | 0.438842i | ||||
\(285\) | −14.9363 | − | 17.4647i | −0.884747 | − | 1.03452i | ||||
\(286\) | −0.148645 | + | 0.457483i | −0.00878958 | + | 0.0270515i | ||||
\(287\) | 30.6003 | − | 12.9891i | 1.80628 | − | 0.766721i | ||||
\(288\) | −2.53997 | − | 0.311869i | −0.149669 | − | 0.0183771i | ||||
\(289\) | −1.77022 | + | 12.5958i | −0.104131 | + | 0.740930i | ||||
\(290\) | −2.08691 | + | 2.26631i | −0.122548 | + | 0.133082i | ||||
\(291\) | −0.984744 | + | 28.1994i | −0.0577267 | + | 1.65308i | ||||
\(292\) | 7.97882 | − | 3.06278i | 0.466925 | − | 0.179236i | ||||
\(293\) | 2.74596 | + | 10.2481i | 0.160421 | + | 0.598699i | 0.998580 | + | 0.0532731i | \(0.0169654\pi\) |
−0.838159 | + | 0.545426i | \(0.816368\pi\) | |||||||
\(294\) | 39.7045 | + | 9.89945i | 2.31562 | + | 0.577348i | ||||
\(295\) | −3.91231 | − | 5.72238i | −0.227784 | − | 0.333170i | ||||
\(296\) | 6.64715 | − | 2.95950i | 0.386357 | − | 0.172017i | ||||
\(297\) | −4.33384 | + | 3.50947i | −0.251475 | + | 0.203640i | ||||
\(298\) | −1.86507 | − | 15.1898i | −0.108041 | − | 0.879920i | ||||
\(299\) | −0.00523265 | + | 0.0296758i | −0.000302612 | + | 0.00171620i | ||||
\(300\) | 5.11599 | + | 10.6209i | 0.295372 | + | 0.613196i | ||||
\(301\) | 32.3887 | − | 11.7885i | 1.86685 | − | 0.679480i | ||||
\(302\) | −0.974839 | + | 4.22249i | −0.0560957 | + | 0.242977i | ||||
\(303\) | −12.9778 | + | 2.05548i | −0.745556 | + | 0.118084i | ||||
\(304\) | 4.32804 | + | 0.517777i | 0.248230 | + | 0.0296965i | ||||
\(305\) | −0.540515 | + | 0.607939i | −0.0309498 | + | 0.0348105i | ||||
\(306\) | 0.369322 | − | 5.28155i | 0.0211127 | − | 0.301926i | ||||
\(307\) | 0.676635 | + | 0.315520i | 0.0386176 | + | 0.0180077i | 0.441831 | − | 0.897098i | \(-0.354329\pi\) |
−0.403214 | + | 0.915106i | \(0.632107\pi\) | |||||||
\(308\) | 0.461984 | + | 26.4671i | 0.0263240 | + | 1.50810i | ||||
\(309\) | 4.03154 | + | 28.6859i | 0.229346 | + | 1.63188i | ||||
\(310\) | 3.31186 | + | 9.42561i | 0.188101 | + | 0.535338i | ||||
\(311\) | −0.574260 | + | 0.122063i | −0.0325633 | + | 0.00692154i | −0.224165 | − | 0.974551i | \(-0.571965\pi\) |
0.191601 | + | 0.981473i | \(0.438632\pi\) | |||||||
\(312\) | 0.115161 | + | 0.177332i | 0.00651968 | + | 0.0100394i | ||||
\(313\) | −6.15302 | − | 26.6517i | −0.347789 | − | 1.50644i | −0.792001 | − | 0.610520i | \(-0.790961\pi\) |
0.444212 | − | 0.895922i | \(-0.353484\pi\) | |||||||
\(314\) | 3.56960 | + | 8.83508i | 0.201444 | + | 0.498592i | ||||
\(315\) | −4.59277 | − | 27.8638i | −0.258773 | − | 1.56995i | ||||
\(316\) | 2.17633 | + | 1.95957i | 0.122428 | + | 0.110235i | ||||
\(317\) | −0.939221 | − | 0.520619i | −0.0527519 | − | 0.0292409i | 0.458213 | − | 0.888842i | \(-0.348490\pi\) |
−0.510965 | + | 0.859601i | \(0.670712\pi\) | |||||||
\(318\) | 1.23960 | + | 1.77034i | 0.0695134 | + | 0.0992755i | ||||
\(319\) | 5.31602 | + | 5.13363i | 0.297640 | + | 0.287428i | ||||
\(320\) | −2.07847 | − | 0.824607i | −0.116190 | − | 0.0460969i | ||||
\(321\) | −9.60504 | − | 38.5237i | −0.536101 | − | 2.15018i | ||||
\(322\) | 0.259410 | + | 1.63785i | 0.0144564 | + | 0.0912739i | ||||
\(323\) | −0.601134 | + | 8.99813i | −0.0334480 | + | 0.500670i | ||||
\(324\) | 10.1284i | 0.562690i | ||||||||
\(325\) | 0.184382 | − | 0.408736i | 0.0102277 | − | 0.0226726i | ||||
\(326\) | 1.66297 | + | 4.56898i | 0.0921036 | + | 0.253053i | ||||
\(327\) | 24.7208 | − | 18.6284i | 1.36706 | − | 1.03016i | ||||
\(328\) | 6.73497 | + | 0.117559i | 0.371877 | + | 0.00649113i | ||||
\(329\) | 32.2996 | − | 21.7863i | 1.78073 | − | 1.20112i | ||||
\(330\) | 25.7611 | − | 11.6640i | 1.41810 | − | 0.642082i | ||||
\(331\) | −21.2428 | + | 2.23271i | −1.16761 | + | 0.122721i | −0.668429 | − | 0.743776i | \(-0.733033\pi\) |
−0.499183 | + | 0.866497i | \(0.666366\pi\) | |||||||
\(332\) | 0.392252 | − | 4.48346i | 0.0215276 | − | 0.246062i | ||||
\(333\) | 9.59007 | + | 15.9606i | 0.525533 | + | 0.874634i | ||||
\(334\) | −5.10221 | + | 24.0040i | −0.279180 | + | 1.31344i | ||||
\(335\) | −1.04945 | + | 22.7589i | −0.0573374 | + | 1.24345i | ||||
\(336\) | 9.16918 | + | 7.16375i | 0.500220 | + | 0.390814i | ||||
\(337\) | −8.01358 | − | 6.03867i | −0.436528 | − | 0.328947i | 0.360640 | − | 0.932705i | \(-0.382558\pi\) |
−0.797168 | + | 0.603758i | \(0.793669\pi\) | |||||||
\(338\) | −3.79848 | + | 12.4243i | −0.206610 | + | 0.675791i | ||||
\(339\) | 9.49924 | − | 0.331721i | 0.515928 | − | 0.0180166i | ||||
\(340\) | 1.47865 | − | 4.38356i | 0.0801911 | − | 0.237732i | ||||
\(341\) | 22.7920 | − | 7.40558i | 1.23426 | − | 0.401035i | ||||
\(342\) | 0.0346440 | + | 11.1546i | 0.00187333 | + | 0.603169i | ||||
\(343\) | −36.1370 | − | 36.1370i | −1.95122 | − | 1.95122i | ||||
\(344\) | 6.96708 | + | 0.487186i | 0.375640 | + | 0.0262673i | ||||
\(345\) | 1.49639 | − | 0.948171i | 0.0805631 | − | 0.0510478i | ||||
\(346\) | 0.326968 | − | 0.670384i | 0.0175779 | − | 0.0360401i | ||||
\(347\) | −0.493055 | + | 28.2471i | −0.0264686 | + | 1.51639i | 0.638563 | + | 0.769570i | \(0.279529\pi\) |
−0.665031 | + | 0.746815i | \(0.731582\pi\) | |||||||
\(348\) | 3.22426 | − | 0.395889i | 0.172838 | − | 0.0212219i | ||||
\(349\) | 5.50979 | − | 3.18108i | 0.294932 | − | 0.170279i | −0.345232 | − | 0.938517i | \(-0.612200\pi\) |
0.640164 | + | 0.768238i | \(0.278866\pi\) | |||||||
\(350\) | 2.27083 | − | 24.5709i | 0.121381 | − | 1.31337i | ||||
\(351\) | 0.0714241 | − | 0.0599320i | 0.00381234 | − | 0.00319893i | ||||
\(352\) | −2.09581 | + | 4.93742i | −0.111707 | + | 0.263165i | ||||
\(353\) | −2.12548 | − | 0.815895i | −0.113128 | − | 0.0434257i | 0.301146 | − | 0.953578i | \(-0.402631\pi\) |
−0.414274 | + | 0.910152i | \(0.635964\pi\) | |||||||
\(354\) | −0.764020 | + | 7.26916i | −0.0406072 | + | 0.386352i | ||||
\(355\) | 17.1044 | − | 3.12687i | 0.907807 | − | 0.165957i | ||||
\(356\) | 12.0673 | − | 5.88561i | 0.639565 | − | 0.311936i | ||||
\(357\) | −13.8080 | + | 19.7199i | −0.730799 | + | 1.04369i | ||||
\(358\) | 14.8306 | − | 2.88277i | 0.783820 | − | 0.152359i | ||||
\(359\) | −6.42430 | − | 2.59559i | −0.339062 | − | 0.136990i | 0.198761 | − | 0.980048i | \(-0.436308\pi\) |
−0.537822 | + | 0.843058i | \(0.680753\pi\) | |||||||
\(360\) | 1.44627 | − | 5.53641i | 0.0762250 | − | 0.291794i | ||||
\(361\) | −0.118020 | − | 18.9996i | −0.00621156 | − | 0.999981i | ||||
\(362\) | 18.2896 | + | 9.31902i | 0.961281 | + | 0.489797i | ||||
\(363\) | −16.3711 | − | 38.5679i | −0.859260 | − | 2.02429i | ||||
\(364\) | −0.0154459 | − | 0.442312i | −0.000809583 | − | 0.0231834i | ||||
\(365\) | 4.41580 | + | 18.5933i | 0.231134 | + | 0.973219i | ||||
\(366\) | 0.849403 | − | 0.119376i | 0.0443990 | − | 0.00623987i | ||||
\(367\) | −0.302414 | + | 0.545569i | −0.0157859 | + | 0.0284785i | −0.882397 | − | 0.470506i | \(-0.844071\pi\) |
0.866611 | + | 0.498985i | \(0.166294\pi\) | |||||||
\(368\) | −0.0869667 | + | 0.324564i | −0.00453345 | + | 0.0169191i | ||||
\(369\) | 1.80183 | + | 17.1433i | 0.0937996 | + | 0.892444i | ||||
\(370\) | 4.58279 | + | 15.6113i | 0.238248 | + | 0.811595i | ||||
\(371\) | −0.315554 | − | 4.51263i | −0.0163827 | − | 0.234284i | ||||
\(372\) | 3.77513 | − | 9.83456i | 0.195732 | − | 0.509898i | ||||
\(373\) | −12.7686 | + | 19.6618i | −0.661131 | + | 1.01805i | 0.335964 | + | 0.941875i | \(0.390938\pi\) |
−0.997094 | + | 0.0761770i | \(0.975729\pi\) | |||||||
\(374\) | −10.4280 | − | 3.79549i | −0.539221 | − | 0.196260i | ||||
\(375\) | −25.0591 | + | 8.18071i | −1.29404 | + | 0.422450i | ||||
\(376\) | 7.77456 | − | 1.37086i | 0.400942 | − | 0.0706969i | ||||
\(377\) | −0.0903652 | − | 0.0842669i | −0.00465405 | − | 0.00433997i | ||||
\(378\) | 2.64261 | − | 4.39805i | 0.135921 | − | 0.226211i | ||||
\(379\) | −1.45453 | − | 1.05678i | −0.0747141 | − | 0.0542830i | 0.549801 | − | 0.835296i | \(-0.314703\pi\) |
−0.624515 | + | 0.781013i | \(0.714703\pi\) | |||||||
\(380\) | −2.43417 | + | 9.43795i | −0.124870 | + | 0.484156i | ||||
\(381\) | −38.2031 | + | 27.7562i | −1.95720 | + | 1.42199i | ||||
\(382\) | 0.262322 | + | 2.99835i | 0.0134216 | + | 0.153409i | ||||
\(383\) | 0.420781 | + | 2.16473i | 0.0215009 | + | 0.110613i | 0.990818 | − | 0.135200i | \(-0.0431676\pi\) |
−0.969317 | + | 0.245812i | \(0.920945\pi\) | |||||||
\(384\) | 1.10690 | + | 2.08178i | 0.0564864 | + | 0.106235i | ||||
\(385\) | −58.7941 | − | 6.84443i | −2.99643 | − | 0.348825i | ||||
\(386\) | −8.37677 | + | 10.7218i | −0.426367 | + | 0.545724i | ||||
\(387\) | 0.935379 | + | 17.8481i | 0.0475480 | + | 0.907270i | ||||
\(388\) | 10.0368 | − | 6.51798i | 0.509541 | − | 0.330900i | ||||
\(389\) | 20.1031 | − | 8.12217i | 1.01927 | − | 0.411810i | 0.196690 | − | 0.980466i | \(-0.436981\pi\) |
0.822576 | + | 0.568656i | \(0.192536\pi\) | |||||||
\(390\) | −0.427241 | + | 0.202503i | −0.0216342 | + | 0.0102541i | ||||
\(391\) | −0.679992 | − | 0.144537i | −0.0343887 | − | 0.00730954i | ||||
\(392\) | −6.21964 | − | 16.2027i | −0.314139 | − | 0.818361i | ||||
\(393\) | −21.4369 | + | 9.99618i | −1.08135 | + | 0.504241i | ||||
\(394\) | 1.06884 | + | 2.19145i | 0.0538475 | + | 0.110404i | ||||
\(395\) | −4.98984 | + | 4.24066i | −0.251066 | + | 0.213371i | ||||
\(396\) | −13.1945 | − | 3.78346i | −0.663049 | − | 0.190126i | ||||
\(397\) | 12.5210 | + | 7.52339i | 0.628412 | + | 0.377588i | 0.793394 | − | 0.608709i | \(-0.208312\pi\) |
−0.164982 | + | 0.986297i | \(0.552757\pi\) | |||||||
\(398\) | −8.49158 | − | 16.6657i | −0.425644 | − | 0.835374i | ||||
\(399\) | 25.9873 | − | 43.5560i | 1.30099 | − | 2.18053i | ||||
\(400\) | 2.44541 | − | 4.36119i | 0.122270 | − | 0.218060i | ||||
\(401\) | −5.84816 | + | 6.96956i | −0.292043 | + | 0.348043i | −0.892038 | − | 0.451961i | \(-0.850725\pi\) |
0.599995 | + | 0.800004i | \(0.295169\pi\) | |||||||
\(402\) | 16.3837 | − | 17.5694i | 0.817144 | − | 0.876280i | ||||
\(403\) | −0.378851 | + | 0.130449i | −0.0188719 | + | 0.00649811i | ||||
\(404\) | 3.87126 | + | 4.00881i | 0.192603 | + | 0.199446i | ||||
\(405\) | −22.4468 | − | 3.01104i | −1.11539 | − | 0.149620i | ||||
\(406\) | −6.21166 | − | 2.76561i | −0.308279 | − | 0.137255i | ||||
\(407\) | 37.6984 | − | 10.1012i | 1.86864 | − | 0.500700i | ||||
\(408\) | −4.18127 | + | 2.51236i | −0.207004 | + | 0.124380i | ||||
\(409\) | 30.9193 | + | 19.3205i | 1.52886 | + | 0.955338i | 0.993879 | + | 0.110474i | \(0.0352368\pi\) |
0.534981 | + | 0.844864i | \(0.320319\pi\) | |||||||
\(410\) | −2.26275 | + | 14.8912i | −0.111749 | + | 0.735425i | ||||
\(411\) | −8.01762 | − | 37.7199i | −0.395480 | − | 1.86059i | ||||
\(412\) | 8.98552 | − | 8.37914i | 0.442685 | − | 0.412810i | ||||
\(413\) | 9.20727 | − | 12.2185i | 0.453060 | − | 0.601231i | ||||
\(414\) | −0.851505 | − | 0.119671i | −0.0418492 | − | 0.00588152i | ||||
\(415\) | 9.81972 | + | 2.20219i | 0.482031 | + | 0.108101i | ||||
\(416\) | 0.0335947 | − | 0.0831497i | 0.00164711 | − | 0.00407675i | ||||
\(417\) | −45.4308 | − | 7.19554i | −2.22476 | − | 0.352367i | ||||
\(418\) | 22.4945 | + | 6.37466i | 1.10024 | + | 0.311795i | ||||
\(419\) | −11.4057 | − | 15.6986i | −0.557206 | − | 0.766929i | 0.433761 | − | 0.901028i | \(-0.357186\pi\) |
−0.990968 | + | 0.134099i | \(0.957186\pi\) | |||||||
\(420\) | −18.6023 | + | 18.1912i | −0.907699 | + | 0.887640i | ||||
\(421\) | 4.72514 | − | 16.4785i | 0.230289 | − | 0.803114i | −0.758226 | − | 0.651992i | \(-0.773933\pi\) |
0.988515 | − | 0.151122i | \(-0.0482887\pi\) | |||||||
\(422\) | 7.34203 | + | 21.3228i | 0.357404 | + | 1.03798i | ||||
\(423\) | 5.90659 | + | 19.3196i | 0.287188 | + | 0.939351i | ||||
\(424\) | 0.313504 | − | 0.861344i | 0.0152251 | − | 0.0418306i | ||||
\(425\) | 9.27535 | + | 4.58018i | 0.449921 | + | 0.222172i | ||||
\(426\) | −15.8779 | − | 9.16708i | −0.769285 | − | 0.444147i | ||||
\(427\) | −1.65267 | − | 0.701515i | −0.0799781 | − | 0.0339487i | ||||
\(428\) | −11.0476 | + | 12.7088i | −0.534004 | + | 0.614302i | ||||
\(429\) | 0.461298 | + | 1.03609i | 0.0222717 | + | 0.0500231i | ||||
\(430\) | −3.15093 | + | 15.2957i | −0.151951 | + | 0.737626i | ||||
\(431\) | −8.04229 | − | 28.0468i | −0.387384 | − | 1.35097i | −0.877611 | − | 0.479373i | \(-0.840864\pi\) |
0.490228 | − | 0.871594i | \(-0.336914\pi\) | |||||||
\(432\) | 0.851649 | − | 0.596331i | 0.0409750 | − | 0.0286910i | ||||
\(433\) | −19.2393 | + | 0.335823i | −0.924582 | + | 0.0161386i | −0.477766 | − | 0.878487i | \(-0.658553\pi\) |
−0.446816 | + | 0.894626i | \(0.647442\pi\) | |||||||
\(434\) | −17.3753 | + | 13.5751i | −0.834043 | + | 0.651626i | ||||
\(435\) | −0.0811508 | + | 7.26335i | −0.00389088 | + | 0.348251i | ||||
\(436\) | −12.4859 | − | 4.05691i | −0.597966 | − | 0.194291i | ||||
\(437\) | 1.45102 | + | 0.199334i | 0.0694117 | + | 0.00953544i | ||||
\(438\) | 9.14816 | − | 17.9543i | 0.437116 | − | 0.857888i | ||||
\(439\) | −15.2525 | + | 9.53081i | −0.727961 | + | 0.454881i | −0.842609 | − | 0.538526i | \(-0.818982\pi\) |
0.114648 | + | 0.993406i | \(0.463426\pi\) | |||||||
\(440\) | −10.3193 | − | 6.11260i | −0.491955 | − | 0.291407i | ||||
\(441\) | 39.2147 | − | 20.8508i | 1.86737 | − | 0.992896i | ||||
\(442\) | 0.175431 | + | 0.0604059i | 0.00834442 | + | 0.00287322i | ||||
\(443\) | 7.78542 | + | 16.6959i | 0.369897 | + | 0.793246i | 0.999862 | + | 0.0166224i | \(0.00529131\pi\) |
−0.629965 | + | 0.776623i | \(0.716931\pi\) | |||||||
\(444\) | 6.97780 | − | 15.6724i | 0.331152 | − | 0.743779i | ||||
\(445\) | 9.45635 | + | 28.4934i | 0.448274 | + | 1.35072i | ||||
\(446\) | −9.93389 | + | 0.694645i | −0.470383 | + | 0.0328924i | ||||
\(447\) | −27.2320 | − | 23.6725i | −1.28803 | − | 1.11967i | ||||
\(448\) | 0.258284 | − | 4.92836i | 0.0122028 | − | 0.232843i | ||||
\(449\) | 5.99426 | + | 10.3824i | 0.282887 | + | 0.489974i | 0.972094 | − | 0.234590i | \(-0.0753746\pi\) |
−0.689208 | + | 0.724564i | \(0.742041\pi\) | |||||||
\(450\) | 11.8399 | + | 4.85114i | 0.558140 | + | 0.228685i | ||||
\(451\) | 35.5818 | + | 6.27402i | 1.67548 | + | 0.295432i | ||||
\(452\) | −2.42614 | − | 3.21960i | −0.114116 | − | 0.151437i | ||||
\(453\) | 4.95355 | + | 8.93643i | 0.232738 | + | 0.419870i | ||||
\(454\) | 6.09508 | − | 1.51967i | 0.286056 | − | 0.0713219i | ||||
\(455\) | 0.984851 | + | 0.0972617i | 0.0461705 | + | 0.00455970i | ||||
\(456\) | 8.40028 | − | 5.92091i | 0.393379 | − | 0.277272i | ||||
\(457\) | 25.1172 | − | 25.1172i | 1.17493 | − | 1.17493i | 0.193916 | − | 0.981018i | \(-0.437881\pi\) |
0.981018 | − | 0.193916i | \(-0.0621188\pi\) | |||||||
\(458\) | 5.04984 | − | 4.38976i | 0.235964 | − | 0.205120i | ||||
\(459\) | 1.32428 | + | 1.69500i | 0.0618122 | + | 0.0791160i | ||||
\(460\) | −0.693451 | − | 0.289225i | −0.0323323 | − | 0.0134852i | ||||
\(461\) | −6.82727 | − | 3.63013i | −0.317978 | − | 0.169072i | 0.302809 | − | 0.953051i | \(-0.402076\pi\) |
−0.620787 | + | 0.783979i | \(0.713187\pi\) | |||||||
\(462\) | 42.5653 | + | 45.6457i | 1.98032 | + | 2.12363i | ||||
\(463\) | 24.7630 | − | 1.29777i | 1.15083 | − | 0.0603126i | 0.532642 | − | 0.846341i | \(-0.321199\pi\) |
0.618190 | + | 0.786028i | \(0.287866\pi\) | |||||||
\(464\) | −0.921913 | − | 1.02389i | −0.0427987 | − | 0.0475328i | ||||
\(465\) | 20.6732 | + | 11.2902i | 0.958698 | + | 0.523570i | ||||
\(466\) | −3.70361 | + | 5.92702i | −0.171567 | + | 0.274564i | ||||
\(467\) | −12.1082 | − | 9.80505i | −0.560302 | − | 0.453724i | 0.306857 | − | 0.951756i | \(-0.400723\pi\) |
−0.867159 | + | 0.498032i | \(0.834056\pi\) | |||||||
\(468\) | 0.221675 | + | 0.0593976i | 0.0102469 | + | 0.00274565i | ||||
\(469\) | −48.3357 | + | 13.8600i | −2.23194 | + | 0.639997i | ||||
\(470\) | 0.726865 | + | 17.6376i | 0.0335278 | + | 0.813564i | ||||
\(471\) | 20.1932 | + | 9.84887i | 0.930452 | + | 0.453812i | ||||
\(472\) | 2.71137 | − | 1.50294i | 0.124801 | − | 0.0691783i | ||||
\(473\) | 36.5012 | + | 8.42698i | 1.67833 | + | 0.387473i | ||||
\(474\) | 6.90480 | 0.317148 | ||||||||
\(475\) | −20.1929 | − | 8.20042i | −0.926514 | − | 0.376261i | ||||
\(476\) | 10.2104 | 0.467991 | ||||||||
\(477\) | 2.28556 | + | 0.527663i | 0.104649 | + | 0.0241600i | ||||
\(478\) | 16.1957 | − | 8.97744i | 0.740776 | − | 0.410619i | ||||
\(479\) | −1.96448 | − | 0.958142i | −0.0897595 | − | 0.0437786i | 0.392945 | − | 0.919562i | \(-0.371456\pi\) |
−0.482704 | + | 0.875784i | \(0.660345\pi\) | |||||||
\(480\) | −4.94275 | + | 1.83425i | −0.225604 | + | 0.0837218i | ||||
\(481\) | −0.627251 | + | 0.179861i | −0.0286002 | + | 0.00820097i | ||||
\(482\) | −26.2509 | − | 7.03390i | −1.19570 | − | 0.320386i | ||||
\(483\) | 3.03849 | + | 2.46052i | 0.138256 | + | 0.111957i | ||||
\(484\) | −9.41694 | + | 15.0703i | −0.428043 | + | 0.685012i | ||||
\(485\) | 11.4615 | + | 24.1814i | 0.520438 | + | 1.09802i | ||||
\(486\) | 13.8921 | + | 15.4287i | 0.630158 | + | 0.699862i | ||||
\(487\) | −13.8174 | + | 0.724142i | −0.626128 | + | 0.0328140i | −0.362762 | − | 0.931882i | \(-0.618166\pi\) |
−0.263366 | + | 0.964696i | \(0.584833\pi\) | |||||||
\(488\) | −0.248110 | − | 0.266065i | −0.0112314 | − | 0.0120442i | ||||
\(489\) | 10.1221 | + | 5.38199i | 0.457735 | + | 0.243382i | ||||
\(490\) | 37.7578 | − | 8.96723i | 1.70572 | − | 0.405098i | ||||
\(491\) | −4.86834 | − | 6.23119i | −0.219705 | − | 0.281210i | 0.665513 | − | 0.746386i | \(-0.268213\pi\) |
−0.885218 | + | 0.465177i | \(0.845991\pi\) | |||||||
\(492\) | 11.9862 | − | 10.4195i | 0.540380 | − | 0.469745i | ||||
\(493\) | 2.01561 | − | 2.01561i | 0.0907785 | − | 0.0907785i | ||||
\(494\) | −0.377898 | − | 0.100001i | −0.0170024 | − | 0.00449924i | ||||
\(495\) | 12.3075 | − | 28.1171i | 0.553182 | − | 1.26377i | ||||
\(496\) | −4.33518 | + | 1.08088i | −0.194655 | + | 0.0485330i | ||||
\(497\) | 18.6050 | + | 33.5644i | 0.834550 | + | 1.50557i | ||||
\(498\) | −6.38605 | − | 8.47458i | −0.286166 | − | 0.379755i | ||||
\(499\) | −21.4493 | − | 3.78208i | −0.960200 | − | 0.169309i | −0.328485 | − | 0.944509i | \(-0.606538\pi\) |
−0.631716 | + | 0.775200i | \(0.717649\pi\) | |||||||
\(500\) | 8.93836 | + | 6.71608i | 0.399736 | + | 0.300352i | ||||
\(501\) | 28.9301 | + | 50.1083i | 1.29250 | + | 2.23867i | ||||
\(502\) | −1.25002 | + | 23.8519i | −0.0557912 | + | 1.06456i | ||||
\(503\) | 25.3730 | + | 22.0564i | 1.13133 | + | 0.983448i | 0.999969 | − | 0.00788740i | \(-0.00251066\pi\) |
0.131358 | + | 0.991335i | \(0.458066\pi\) | |||||||
\(504\) | 12.5984 | − | 0.880968i | 0.561179 | − | 0.0392414i | ||||
\(505\) | −10.0353 | + | 7.38780i | −0.446564 | + | 0.328753i | ||||
\(506\) | −0.733067 | + | 1.64650i | −0.0325888 | + | 0.0731957i | ||||
\(507\) | 12.9456 | + | 27.7620i | 0.574935 | + | 1.23295i | ||||
\(508\) | 18.9370 | + | 6.52053i | 0.840193 | + | 0.289302i | ||||
\(509\) | −1.56860 | + | 0.834038i | −0.0695268 | + | 0.0369681i | −0.503871 | − | 0.863779i | \(-0.668091\pi\) |
0.434344 | + | 0.900747i | \(0.356980\pi\) | |||||||
\(510\) | −4.32490 | − | 10.0135i | −0.191510 | − | 0.443405i | ||||
\(511\) | −35.7689 | + | 22.3509i | −1.58232 | + | 0.988745i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | −3.04283 | − | 3.35837i | −0.134344 | − | 0.148276i | ||||
\(514\) | −10.1486 | − | 3.29748i | −0.447635 | − | 0.145446i | ||||
\(515\) | 15.8987 | + | 22.4049i | 0.700581 | + | 0.987277i | ||||
\(516\) | 12.9760 | − | 10.1380i | 0.571238 | − | 0.446300i | ||||
\(517\) | 42.3381 | − | 0.739015i | 1.86203 | − | 0.0325018i | ||||
\(518\) | −29.4149 | + | 20.5965i | −1.29242 | + | 0.904960i | ||||
\(519\) | −0.484732 | − | 1.69046i | −0.0212774 | − | 0.0742030i | ||||
\(520\) | 0.174291 | + | 0.0991723i | 0.00764315 | + | 0.00434899i | ||||
\(521\) | −4.39489 | − | 9.87109i | −0.192544 | − | 0.432460i | 0.791315 | − | 0.611409i | \(-0.209397\pi\) |
−0.983858 | + | 0.178949i | \(0.942730\pi\) | |||||||
\(522\) | 2.31313 | − | 2.66095i | 0.101243 | − | 0.116467i | ||||
\(523\) | 14.6282 | + | 6.20932i | 0.639648 | + | 0.271514i | 0.686213 | − | 0.727401i | \(-0.259272\pi\) |
−0.0465648 | + | 0.998915i | \(0.514827\pi\) | |||||||
\(524\) | 8.68793 | + | 5.01598i | 0.379534 | + | 0.219124i | ||||
\(525\) | −34.7855 | − | 46.6347i | −1.51816 | − | 2.03531i | ||||
\(526\) | 4.50490 | − | 12.3771i | 0.196423 | − | 0.539667i | ||||
\(527\) | −2.70260 | − | 8.83979i | −0.117727 | − | 0.385067i | ||||
\(528\) | 4.11733 | + | 11.9576i | 0.179184 | + | 0.520388i | ||||
\(529\) | 6.30854 | − | 22.0005i | 0.274284 | − | 0.956543i | ||||
\(530\) | 1.81573 | + | 0.950858i | 0.0788701 | + | 0.0413026i | ||||
\(531\) | 4.66301 | + | 6.41808i | 0.202357 | + | 0.278521i | ||||
\(532\) | −21.4545 | + | 1.56722i | −0.930172 | + | 0.0679477i | ||||
\(533\) | −0.596646 | − | 0.0944995i | −0.0258436 | − | 0.00409323i | ||||
\(534\) | 11.8584 | − | 29.3505i | 0.513161 | − | 1.27012i | ||||
\(535\) | −24.8811 | − | 28.2620i | −1.07570 | − | 1.22187i | ||||
\(536\) | −10.0898 | − | 1.41802i | −0.435812 | − | 0.0612493i | ||||
\(537\) | 21.4375 | − | 28.4485i | 0.925097 | − | 1.22764i | ||||
\(538\) | 20.5307 | − | 19.1452i | 0.885142 | − | 0.825408i | ||||
\(539\) | −19.3548 | − | 91.0572i | −0.833670 | − | 3.92211i | ||||
\(540\) | 1.06842 | + | 2.06472i | 0.0459773 | + | 0.0888514i | ||||
\(541\) | 16.1243 | + | 10.0756i | 0.693237 | + | 0.433183i | 0.830253 | − | 0.557386i | \(-0.188196\pi\) |
−0.137016 | + | 0.990569i | \(0.543751\pi\) | |||||||
\(542\) | 4.96126 | − | 2.98102i | 0.213104 | − | 0.128046i | ||||
\(543\) | 46.7485 | − | 12.5262i | 2.00617 | − | 0.537551i | ||||
\(544\) | 1.89005 | + | 0.841503i | 0.0810351 | + | 0.0360792i | ||||
\(545\) | 12.7029 | − | 26.4654i | 0.544132 | − | 1.13365i | ||||
\(546\) | −0.724877 | − | 0.750632i | −0.0310219 | − | 0.0321241i | ||||
\(547\) | −4.77120 | + | 1.64286i | −0.204002 | + | 0.0702435i | −0.425669 | − | 0.904879i | \(-0.639961\pi\) |
0.221667 | + | 0.975122i | \(0.428850\pi\) | |||||||
\(548\) | −11.1545 | + | 11.9617i | −0.476496 | + | 0.510980i | ||||
\(549\) | 0.598420 | − | 0.713169i | 0.0255399 | − | 0.0304373i | ||||
\(550\) | 16.6146 | − | 21.0527i | 0.708451 | − | 0.897691i | ||||
\(551\) | −3.92593 | + | 4.54469i | −0.167250 | + | 0.193610i | ||||
\(552\) | 0.359669 | + | 0.705891i | 0.0153085 | + | 0.0300447i | ||||
\(553\) | −12.3884 | − | 7.44369i | −0.526808 | − | 0.316538i | ||||
\(554\) | −29.4673 | − | 8.44962i | −1.25195 | − | 0.358990i | ||||
\(555\) | 32.6590 | + | 20.1235i | 1.38630 | + | 0.854195i | ||||
\(556\) | 8.55210 | + | 17.5344i | 0.362690 | + | 0.743624i | ||||
\(557\) | −10.5092 | + | 4.90053i | −0.445290 | + | 0.207642i | −0.632312 | − | 0.774714i | \(-0.717894\pi\) |
0.187023 | + | 0.982356i | \(0.440116\pi\) | |||||||
\(558\) | −4.09741 | − | 10.6741i | −0.173457 | − | 0.451872i | ||||
\(559\) | −0.612645 | − | 0.130222i | −0.0259121 | − | 0.00550779i | ||||
\(560\) | 10.8455 | + | 2.03755i | 0.458308 | + | 0.0861021i | ||||
\(561\) | −24.2595 | + | 9.80149i | −1.02424 | + | 0.413819i | ||||
\(562\) | −21.9122 | + | 14.2299i | −0.924310 | + | 0.600254i | ||||
\(563\) | −0.198022 | − | 3.77848i | −0.00834561 | − | 0.159244i | −0.999623 | − | 0.0274526i | \(-0.991260\pi\) |
0.991277 | − | 0.131791i | \(-0.0420729\pi\) | |||||||
\(564\) | 11.4595 | − | 14.6675i | 0.482533 | − | 0.617613i | ||||
\(565\) | 7.85660 | − | 4.41972i | 0.330530 | − | 0.185939i | ||||
\(566\) | −7.50153 | − | 14.1083i | −0.315313 | − | 0.593017i | ||||
\(567\) | −9.53760 | − | 49.0667i | −0.400541 | − | 2.06061i | ||||
\(568\) | 0.677731 | + | 7.74650i | 0.0284369 | + | 0.325036i | ||||
\(569\) | −3.98232 | + | 2.89332i | −0.166947 | + | 0.121294i | −0.668122 | − | 0.744052i | \(-0.732902\pi\) |
0.501174 | + | 0.865346i | \(0.332902\pi\) | |||||||
\(570\) | 10.6247 | + | 20.3771i | 0.445021 | + | 0.853501i | ||||
\(571\) | 9.12243 | + | 6.62783i | 0.381762 | + | 0.277366i | 0.762071 | − | 0.647493i | \(-0.224183\pi\) |
−0.380309 | + | 0.924859i | \(0.624183\pi\) | |||||||
\(572\) | 0.247747 | − | 0.412320i | 0.0103588 | − | 0.0172400i | ||||
\(573\) | 5.18998 | + | 4.83974i | 0.216815 | + | 0.202183i | ||||
\(574\) | −32.7380 | + | 5.77259i | −1.36646 | + | 0.240943i | ||||
\(575\) | 0.847140 | − | 1.45085i | 0.0353282 | − | 0.0605048i | ||||
\(576\) | 2.40471 | + | 0.875244i | 0.100196 | + | 0.0364685i | ||||
\(577\) | −20.9181 | + | 32.2110i | −0.870830 | + | 1.34096i | 0.0683952 | + | 0.997658i | \(0.478212\pi\) |
−0.939225 | + | 0.343302i | \(0.888455\pi\) | |||||||
\(578\) | 4.55829 | − | 11.8748i | 0.189600 | − | 0.493925i | ||||
\(579\) | 2.23779 | + | 32.0019i | 0.0929994 | + | 1.32995i | ||||
\(580\) | 2.54323 | − | 1.73877i | 0.105602 | − | 0.0721986i | ||||
\(581\) | 2.32168 | + | 22.0893i | 0.0963194 | + | 0.916418i | ||||
\(582\) | 7.30298 | − | 27.2551i | 0.302718 | − | 1.12976i | ||||
\(583\) | 2.38361 | − | 4.30015i | 0.0987192 | − | 0.178094i | ||||
\(584\) | −8.46330 | + | 1.18944i | −0.350214 | + | 0.0492193i | ||||
\(585\) | −0.197539 | + | 0.473621i | −0.00816722 | + | 0.0195818i | ||||
\(586\) | −0.370269 | − | 10.6031i | −0.0152957 | − | 0.438011i | ||||
\(587\) | −15.7915 | − | 37.2024i | −0.651784 | − | 1.53551i | −0.833715 | − | 0.552195i | \(-0.813790\pi\) |
0.181931 | − | 0.983311i | \(-0.441765\pi\) | |||||||
\(588\) | −36.4600 | − | 18.5773i | −1.50359 | − | 0.766115i | ||||
\(589\) | 7.03569 | + | 18.1598i | 0.289900 | + | 0.748262i | ||||
\(590\) | 2.52478 | + | 6.45579i | 0.103944 | + | 0.265781i | ||||
\(591\) | 5.33013 | + | 2.15351i | 0.219252 | + | 0.0885836i | ||||
\(592\) | −7.14252 | + | 1.38837i | −0.293556 | + | 0.0570615i | ||||
\(593\) | 20.3848 | − | 29.1124i | 0.837101 | − | 1.19550i | −0.141540 | − | 0.989932i | \(-0.545206\pi\) |
0.978642 | − | 0.205572i | \(-0.0659056\pi\) | |||||||
\(594\) | 5.01222 | − | 2.44462i | 0.205654 | − | 0.100304i | ||||
\(595\) | −3.03540 | + | 22.6284i | −0.124439 | + | 0.927672i | ||||
\(596\) | −1.59969 | + | 15.2200i | −0.0655257 | + | 0.623436i | ||||
\(597\) | −41.1712 | − | 15.8041i | −1.68502 | − | 0.646820i | ||||
\(598\) | 0.0117741 | − | 0.0277382i | 0.000481481 | − | 0.00113430i | ||||
\(599\) | −30.9262 | + | 25.9501i | −1.26361 | + | 1.06029i | −0.268321 | + | 0.963330i | \(0.586469\pi\) |
−0.995288 | + | 0.0969640i | \(0.969087\pi\) | |||||||
\(600\) | −2.59569 | − | 11.4995i | −0.105969 | − | 0.469465i | ||||
\(601\) | 19.1454 | − | 11.0536i | 0.780957 | − | 0.450885i | −0.0558127 | − | 0.998441i | \(-0.517775\pi\) |
0.836769 | + | 0.547556i | \(0.184442\pi\) | |||||||
\(602\) | −34.2104 | + | 4.20051i | −1.39431 | + | 0.171200i | ||||
\(603\) | 0.455052 | − | 26.0699i | 0.0185312 | − | 1.06165i | ||||
\(604\) | 1.89971 | − | 3.89498i | 0.0772980 | − | 0.158484i | ||||
\(605\) | −30.5994 | − | 25.3502i | −1.24404 | − | 1.03063i | ||||
\(606\) | 13.1076 | + | 0.916571i | 0.532459 | + | 0.0372331i | ||||
\(607\) | 22.9725 | + | 22.9725i | 0.932423 | + | 0.932423i | 0.997857 | − | 0.0654336i | \(-0.0208430\pi\) |
−0.0654336 | + | 0.997857i | \(0.520843\pi\) | |||||||
\(608\) | −4.10064 | − | 1.47810i | −0.166303 | − | 0.0599450i | ||||
\(609\) | −15.2470 | + | 4.95404i | −0.617838 | + | 0.200748i | ||||
\(610\) | 0.663419 | − | 0.470768i | 0.0268610 | − | 0.0190608i | ||||
\(611\) | −0.707546 | + | 0.0247080i | −0.0286242 | + | 0.000999580i | ||||
\(612\) | −1.54795 | + | 5.06310i | −0.0625720 | + | 0.204664i | ||||
\(613\) | −34.1330 | − | 25.7211i | −1.37862 | − | 1.03886i | −0.993237 | − | 0.116107i | \(-0.962959\pi\) |
−0.385382 | − | 0.922757i | \(-0.625930\pi\) | |||||||
\(614\) | −0.588317 | − | 0.459643i | −0.0237425 | − | 0.0185497i | ||||
\(615\) | 19.5284 | + | 29.6616i | 0.787463 | + | 1.19607i | ||||
\(616\) | 5.50365 | − | 25.8926i | 0.221748 | − | 1.04324i | ||||
\(617\) | 3.16919 | + | 5.27442i | 0.127587 | + | 0.212340i | 0.914360 | − | 0.404902i | \(-0.132694\pi\) |
−0.786773 | + | 0.617242i | \(0.788250\pi\) | |||||||
\(618\) | 2.52471 | − | 28.8576i | 0.101559 | − | 1.16082i | ||||
\(619\) | −6.77566 | + | 0.712150i | −0.272337 | + | 0.0286237i | −0.239712 | − | 0.970844i | \(-0.577053\pi\) |
−0.0326243 | + | 0.999468i | \(0.510386\pi\) | |||||||
\(620\) | −1.10668 | − | 9.92903i | −0.0444454 | − | 0.398760i | ||||
\(621\) | 0.289619 | − | 0.195350i | 0.0116220 | − | 0.00783914i | ||||
\(622\) | 0.587000 | + | 0.0102461i | 0.0235365 | + | 0.000410832i | ||||
\(623\) | −52.9171 | + | 39.8759i | −2.12008 | + | 1.59759i | ||||
\(624\) | −0.0723180 | − | 0.198692i | −0.00289504 | − | 0.00795405i | ||||
\(625\) | −17.5415 | + | 17.8128i | −0.701662 | + | 0.712510i | ||||
\(626\) | 27.3527i | 1.09323i | ||||||||
\(627\) | 49.4710 | − | 24.3191i | 1.97568 | − | 0.971211i | ||||
\(628\) | −1.49065 | − | 9.41162i | −0.0594836 | − | 0.375564i | ||||
\(629\) | −3.64186 | − | 14.6067i | −0.145210 | − | 0.582407i | ||||
\(630\) | −1.79292 | + | 28.1828i | −0.0714317 | + | 1.12283i | ||||
\(631\) | 29.9923 | + | 28.9632i | 1.19397 | + | 1.15301i | 0.984535 | + | 0.175186i | \(0.0560527\pi\) |
0.209439 | + | 0.977822i | \(0.432836\pi\) | |||||||
\(632\) | −1.67974 | − | 2.39892i | −0.0668165 | − | 0.0954239i | ||||
\(633\) | 46.5043 | + | 25.7778i | 1.84838 | + | 1.02457i | ||||
\(634\) | 0.798035 | + | 0.718554i | 0.0316940 | + | 0.0285374i | ||||
\(635\) | −20.0806 | + | 40.0300i | −0.796875 | + | 1.58854i | ||||
\(636\) | −0.809592 | − | 2.00381i | −0.0321024 | − | 0.0794563i | ||||
\(637\) | 0.350122 | + | 1.51654i | 0.0138723 | + | 0.0600876i | ||||
\(638\) | −4.02496 | − | 6.19790i | −0.159350 | − | 0.245377i | ||||
\(639\) | −19.4645 | + | 4.13731i | −0.770004 | + | 0.163669i | ||||
\(640\) | 1.83970 | + | 1.27103i | 0.0727205 | + | 0.0502417i | ||||
\(641\) | 2.06746 | + | 14.7107i | 0.0816598 | + | 0.581039i | 0.987524 | + | 0.157471i | \(0.0503339\pi\) |
−0.905864 | + | 0.423569i | \(0.860777\pi\) | |||||||
\(642\) | 0.692914 | + | 39.6970i | 0.0273471 | + | 1.56672i | ||||
\(643\) | −7.62917 | − | 3.55754i | −0.300865 | − | 0.140296i | 0.266323 | − | 0.963884i | \(-0.414191\pi\) |
−0.567188 | + | 0.823588i | \(0.691969\pi\) | |||||||
\(644\) | 0.115675 | − | 1.65423i | 0.00455823 | − | 0.0651857i | ||||
\(645\) | 18.6104 | + | 31.7716i | 0.732784 | + | 1.25101i | ||||
\(646\) | 2.60987 | − | 8.63229i | 0.102684 | − | 0.339633i | ||||
\(647\) | 38.2490 | − | 6.05804i | 1.50372 | − | 0.238166i | 0.650416 | − | 0.759578i | \(-0.274594\pi\) |
0.853305 | + | 0.521412i | \(0.174594\pi\) | |||||||
\(648\) | 2.27840 | − | 9.86884i | 0.0895040 | − | 0.387685i | ||||
\(649\) | 15.6253 | − | 5.68716i | 0.613348 | − | 0.223241i | ||||
\(650\) | −0.271602 | + | 0.356783i | −0.0106531 | + | 0.0139942i | ||||
\(651\) | −9.02758 | + | 51.1980i | −0.353819 | + | 2.00661i | ||||
\(652\) | −0.592555 | − | 4.82597i | −0.0232062 | − | 0.189000i | ||||
\(653\) | 31.3699 | − | 25.4029i | 1.22760 | − | 0.994091i | 0.227808 | − | 0.973706i | \(-0.426844\pi\) |
0.999792 | − | 0.0203853i | \(-0.00648930\pi\) | |||||||
\(654\) | −28.2777 | + | 12.5900i | −1.10574 | + | 0.492309i | ||||
\(655\) | −13.6993 | + | 17.7632i | −0.535276 | + | 0.694065i | ||||
\(656\) | −6.53591 | − | 1.62959i | −0.255184 | − | 0.0636246i | ||||
\(657\) | −5.66058 | − | 21.1256i | −0.220840 | − | 0.824187i | ||||
\(658\) | −36.3726 | + | 13.9621i | −1.41795 | + | 0.544300i | ||||
\(659\) | 0.0715248 | − | 2.04820i | 0.00278621 | − | 0.0797866i | −0.997201 | − | 0.0747650i | \(-0.976179\pi\) |
0.999987 | − | 0.00502161i | \(-0.00159844\pi\) | |||||||
\(660\) | −27.7247 | + | 5.57007i | −1.07918 | + | 0.216815i | ||||
\(661\) | 2.88079 | − | 20.4979i | 0.112050 | − | 0.797275i | −0.850462 | − | 0.526036i | \(-0.823678\pi\) |
0.962512 | − | 0.271239i | \(-0.0874333\pi\) | |||||||
\(662\) | 21.2006 | + | 2.60311i | 0.823986 | + | 0.101173i | ||||
\(663\) | 0.402683 | − | 0.170929i | 0.0156389 | − | 0.00663833i | ||||
\(664\) | −1.39076 | + | 4.28031i | −0.0539719 | + | 0.166108i | ||||
\(665\) | 2.90483 | − | 48.0139i | 0.112645 | − | 1.86190i | ||||
\(666\) | −5.75394 | − | 17.7088i | −0.222960 | − | 0.686202i | ||||
\(667\) | −0.303724 | − | 0.349394i | −0.0117602 | − | 0.0135286i | ||||
\(668\) | 10.3712 | − | 22.2410i | 0.401272 | − | 0.860531i | ||||
\(669\) | −16.3098 | + | 16.8893i | −0.630575 | + | 0.652980i | ||||
\(670\) | 6.14220 | − | 21.9396i | 0.237294 | − | 0.847599i | ||||
\(671\) | −1.09118 | − | 1.61774i | −0.0421245 | − | 0.0624522i | ||||
\(672\) | −7.32268 | − | 9.04275i | −0.282478 | − | 0.348832i | ||||
\(673\) | −5.75027 | − | 0.301359i | −0.221657 | − | 0.0116165i | −0.0588157 | − | 0.998269i | \(-0.518732\pi\) |
−0.162841 | + | 0.986652i | \(0.552066\pi\) | |||||||
\(674\) | 6.44979 | + | 7.68656i | 0.248437 | + | 0.296075i | ||||
\(675\) | −4.89350 | + | 1.75403i | −0.188351 | + | 0.0675126i | ||||
\(676\) | 6.49598 | − | 11.2514i | 0.249845 | − | 0.432745i | ||||
\(677\) | 16.9764 | + | 11.0246i | 0.652456 | + | 0.423710i | 0.827974 | − | 0.560766i | \(-0.189493\pi\) |
−0.175518 | + | 0.984476i | \(0.556160\pi\) | |||||||
\(678\) | −9.33040 | − | 1.81365i | −0.358332 | − | 0.0696527i | ||||
\(679\) | −42.4851 | + | 41.0273i | −1.63043 | + | 1.57448i | ||||
\(680\) | −2.42684 | + | 3.93859i | −0.0930651 | + | 0.151038i | ||||
\(681\) | 8.28204 | − | 12.2786i | 0.317368 | − | 0.470518i | ||||
\(682\) | −23.8738 | + | 2.08868i | −0.914174 | + | 0.0799799i | ||||
\(683\) | −1.15057 | + | 7.26441i | −0.0440253 | + | 0.277965i | −0.999874 | − | 0.0158955i | \(-0.994940\pi\) |
0.955848 | + | 0.293860i | \(0.0949401\pi\) | |||||||
\(684\) | 2.47547 | − | 10.8765i | 0.0946521 | − | 0.415872i | ||||
\(685\) | −23.1937 | − | 28.2768i | −0.886186 | − | 1.08040i | ||||
\(686\) | 27.0818 | + | 43.3399i | 1.03399 | + | 1.65472i | ||||
\(687\) | 1.92261 | − | 15.6584i | 0.0733523 | − | 0.597407i | ||||
\(688\) | −6.67892 | − | 2.04195i | −0.254631 | − | 0.0778486i | ||||
\(689\) | −0.0385918 | + | 0.0725806i | −0.00147023 | + | 0.00276510i | ||||
\(690\) | −1.67133 | + | 0.587254i | −0.0636265 | + | 0.0223564i | ||||
\(691\) | −31.8923 | + | 35.4200i | −1.21324 | + | 1.34744i | −0.292989 | + | 0.956116i | \(0.594650\pi\) |
−0.920252 | + | 0.391326i | \(0.872017\pi\) | |||||||
\(692\) | −0.469392 | + | 0.579651i | −0.0178436 | + | 0.0220350i | ||||
\(693\) | 67.4829 | + | 5.90399i | 2.56346 | + | 0.224274i | ||||
\(694\) | 6.83464 | − | 27.4122i | 0.259439 | − | 1.04055i | ||||
\(695\) | −41.4025 | + | 13.7406i | −1.57048 | + | 0.521210i | ||||
\(696\) | −3.23068 | − | 0.339558i | −0.122458 | − | 0.0128709i | ||||
\(697\) | 2.65915 | − | 13.6802i | 0.100723 | − | 0.518173i | ||||
\(698\) | −6.08416 | + | 1.86011i | −0.230289 | + | 0.0704064i | ||||
\(699\) | 2.86145 | + | 16.2281i | 0.108230 | + | 0.613803i | ||||
\(700\) | −7.73988 | + | 23.4303i | −0.292540 | + | 0.885583i | ||||
\(701\) | 31.8387 | + | 26.7159i | 1.20253 | + | 1.00904i | 0.999554 | + | 0.0298611i | \(0.00950649\pi\) |
0.202978 | + | 0.979183i | \(0.434938\pi\) | |||||||
\(702\) | −0.0830753 | + | 0.0423290i | −0.00313548 | + | 0.00159760i | ||||
\(703\) | 9.89450 | + | 30.1334i | 0.373178 | + | 1.13650i | ||||
\(704\) | 3.15277 | − | 4.33942i | 0.118825 | − | 0.163548i | ||||
\(705\) | 29.0996 | + | 29.7572i | 1.09596 | + | 1.12072i | ||||
\(706\) | 1.88747 | + | 1.27311i | 0.0710358 | + | 0.0479142i | ||||
\(707\) | −22.5291 | − | 15.7751i | −0.847295 | − | 0.593282i | ||||
\(708\) | 2.37964 | − | 6.91099i | 0.0894325 | − | 0.259731i | ||||
\(709\) | 6.56825 | + | 0.229368i | 0.246676 | + | 0.00861411i | 0.157971 | − | 0.987444i | \(-0.449505\pi\) |
0.0887052 | + | 0.996058i | \(0.471727\pi\) | |||||||
\(710\) | −17.3694 | − | 0.800928i | −0.651862 | − | 0.0300583i | ||||
\(711\) | 5.56932 | − | 5.01464i | 0.208866 | − | 0.188064i | ||||
\(712\) | −13.0820 | + | 3.02021i | −0.490267 | + | 0.113187i | ||||
\(713\) | −1.46280 | + | 0.337713i | −0.0547821 | + | 0.0126474i | ||||
\(714\) | 17.8902 | − | 16.1084i | 0.669522 | − | 0.602841i | ||||
\(715\) | 0.840139 | + | 0.671638i | 0.0314194 | + | 0.0251178i | ||||
\(716\) | −15.0989 | − | 0.527267i | −0.564274 | − | 0.0197049i | ||||
\(717\) | 14.2142 | − | 41.2811i | 0.530840 | − | 1.54167i | ||||
\(718\) | 5.67577 | + | 3.97421i | 0.211818 | + | 0.148316i | ||||
\(719\) | −2.33367 | − | 1.57408i | −0.0870313 | − | 0.0587033i | 0.514906 | − | 0.857246i | \(-0.327827\pi\) |
−0.601938 | + | 0.798543i | \(0.705604\pi\) | |||||||
\(720\) | −2.65462 | + | 5.06917i | −0.0989318 | + | 0.188917i | ||||
\(721\) | −35.6396 | + | 49.0537i | −1.32729 | + | 1.82686i | ||||
\(722\) | −4.15899 | + | 18.5392i | −0.154782 | + | 0.689958i | ||||
\(723\) | −57.0928 | + | 29.0902i | −2.12330 | + | 1.08188i | ||||
\(724\) | −15.7245 | − | 13.1944i | −0.584397 | − | 0.490368i | ||||
\(725\) | 3.09743 | + | 6.15327i | 0.115036 | + | 0.228527i | ||||
\(726\) | 7.27563 | + | 41.2621i | 0.270024 | + | 1.53138i | ||||
\(727\) | −15.4013 | + | 4.70865i | −0.571203 | + | 0.174634i | −0.564630 | − | 0.825344i | \(-0.690981\pi\) |
−0.00657279 | + | 0.999978i | \(0.502092\pi\) | |||||||
\(728\) | −0.0844485 | + | 0.434450i | −0.00312987 | + | 0.0161018i | ||||
\(729\) | 18.4635 | + | 1.94059i | 0.683833 | + | 0.0718737i | ||||
\(730\) | −0.120034 | − | 19.1101i | −0.00444267 | − | 0.707297i | ||||
\(731\) | 3.49565 | − | 14.0203i | 0.129291 | − | 0.518559i | ||||
\(732\) | −0.854486 | − | 0.0747579i | −0.0315827 | − | 0.00276313i | ||||
\(733\) | 10.2387 | − | 12.6437i | 0.378175 | − | 0.467007i | −0.552149 | − | 0.833745i | \(-0.686192\pi\) |
0.930324 | + | 0.366738i | \(0.119526\pi\) | |||||||
\(734\) | 0.417389 | − | 0.463558i | 0.0154061 | − | 0.0171102i | ||||
\(735\) | 52.0104 | − | 75.2806i | 1.91843 | − | 2.77677i | ||||
\(736\) | 0.157749 | − | 0.296682i | 0.00581470 | − | 0.0109359i | ||||
\(737\) | −52.2635 | − | 15.9786i | −1.92515 | − | 0.588578i | ||||
\(738\) | 2.10075 | − | 17.1092i | 0.0773296 | − | 0.629799i | ||||
\(739\) | 7.30972 | + | 11.6980i | 0.268892 | + | 0.430318i | 0.954746 | − | 0.297422i | \(-0.0961267\pi\) |
−0.685854 | + | 0.727739i | \(0.740571\pi\) | |||||||
\(740\) | −0.953548 | − | 16.2421i | −0.0350531 | − | 0.597072i | ||||
\(741\) | −0.819903 | + | 0.420974i | −0.0301199 | + | 0.0154649i | ||||
\(742\) | −0.707655 | + | 4.46796i | −0.0259788 | + | 0.164024i | ||||
\(743\) | 21.3525 | − | 1.86810i | 0.783348 | − | 0.0685341i | 0.311537 | − | 0.950234i | \(-0.399156\pi\) |
0.471811 | + | 0.881700i | \(0.343600\pi\) | |||||||
\(744\) | −5.89067 | + | 8.73328i | −0.215962 | + | 0.320177i | ||||
\(745\) | −33.2553 | − | 8.06995i | −1.21838 | − | 0.295660i | ||||
\(746\) | 16.8642 | − | 16.2856i | 0.617444 | − | 0.596259i | ||||
\(747\) | −11.3056 | − | 2.19759i | −0.413650 | − | 0.0804054i | ||||
\(748\) | 9.30696 | + | 6.04401i | 0.340296 | + | 0.220991i | ||||
\(749\) | 41.5520 | − | 71.9702i | 1.51828 | − | 2.62973i | ||||
\(750\) | 26.2571 | − | 2.33398i | 0.958772 | − | 0.0852248i | ||||
\(751\) | 23.2226 | + | 27.6756i | 0.847405 | + | 1.00990i | 0.999767 | + | 0.0215731i | \(0.00686748\pi\) |
−0.152362 | + | 0.988325i | \(0.548688\pi\) | |||||||
\(752\) | −7.88367 | − | 0.413166i | −0.287488 | − | 0.0150666i | ||||
\(753\) | 35.4397 | + | 43.7643i | 1.29149 | + | 1.59486i | ||||
\(754\) | 0.0690932 | + | 0.102435i | 0.00251623 | + | 0.00373046i | ||||
\(755\) | 8.06737 | + | 5.36809i | 0.293601 | + | 0.195365i | ||||
\(756\) | −3.56423 | + | 3.69087i | −0.129630 | + | 0.134236i | ||||
\(757\) | 3.06302 | − | 6.56868i | 0.111328 | − | 0.238743i | −0.842748 | − | 0.538308i | \(-0.819064\pi\) |
0.954076 | + | 0.299565i | \(0.0968416\pi\) | |||||||
\(758\) | 1.17953 | + | 1.35689i | 0.0428423 | + | 0.0492844i | ||||
\(759\) | 1.31315 | + | 4.04145i | 0.0476642 | + | 0.146695i | ||||
\(760\) | 4.49486 | − | 8.64848i | 0.163046 | − | 0.313713i | ||||
\(761\) | −14.9186 | + | 45.9146i | −0.540797 | + | 1.66440i | 0.189981 | + | 0.981788i | \(0.439157\pi\) |
−0.730778 | + | 0.682615i | \(0.760843\pi\) | |||||||
\(762\) | 43.4677 | − | 18.4510i | 1.57467 | − | 0.668408i | ||||
\(763\) | 64.3076 | + | 7.89598i | 2.32809 | + | 0.285854i | ||||
\(764\) | 0.418884 | − | 2.98051i | 0.0151547 | − | 0.107831i | ||||
\(765\) | −10.7607 | − | 4.93577i | −0.389056 | − | 0.178453i | ||||
\(766\) | 0.0769620 | − | 2.20390i | 0.00278075 | − | 0.0796303i | ||||
\(767\) | −0.259547 | + | 0.0996309i | −0.00937171 | + | 0.00359746i | ||||
\(768\) | −0.610234 | − | 2.27742i | −0.0220199 | − | 0.0821794i | ||||
\(769\) | 1.14669 | + | 0.285903i | 0.0413508 | + | 0.0103099i | 0.262542 | − | 0.964920i | \(-0.415439\pi\) |
−0.221192 | + | 0.975230i | \(0.570995\pi\) | |||||||
\(770\) | 55.7476 | + | 19.8948i | 2.00900 | + | 0.716959i | ||||
\(771\) | −22.9842 | + | 10.2332i | −0.827756 | + | 0.368541i | ||||
\(772\) | 10.5740 | − | 8.56262i | 0.380565 | − | 0.308175i | ||||
\(773\) | −6.06698 | − | 49.4116i | −0.218214 | − | 1.77721i | −0.551293 | − | 0.834311i | \(-0.685866\pi\) |
0.333080 | − | 0.942899i | \(-0.391912\pi\) | |||||||
\(774\) | 3.10354 | − | 17.6011i | 0.111555 | − | 0.632657i | ||||
\(775\) | 22.3339 | + | 0.499120i | 0.802257 | + | 0.0179289i | ||||
\(776\) | −11.2458 | + | 4.09313i | −0.403700 | + | 0.146935i | ||||
\(777\) | −19.0454 | + | 82.4949i | −0.683252 | + | 2.95949i | ||||
\(778\) | −21.4149 | + | 3.39179i | −0.767762 | + | 0.121602i | ||||
\(779\) | −3.48774 | + | 29.1537i | −0.124961 | + | 1.04454i | ||||
\(780\) | 0.461844 | − | 0.101204i | 0.0165367 | − | 0.00362369i | ||||
\(781\) | −2.90951 | + | 41.6079i | −0.104110 | + | 1.48885i | ||||
\(782\) | 0.630050 | + | 0.293797i | 0.0225305 | + | 0.0105062i | ||||
\(783\) | 0.0249995 | + | 1.43222i | 0.000893408 | + | 0.0511833i | ||||
\(784\) | 2.41541 | + | 17.1866i | 0.0862647 | + | 0.613805i | ||||
\(785\) | 21.3013 | − | 0.505670i | 0.760278 | − | 0.0180481i | ||||
\(786\) | 23.1361 | − | 4.91773i | 0.825238 | − | 0.175410i | ||||
\(787\) | −5.55953 | − | 8.56093i | −0.198176 | − | 0.305164i | 0.725586 | − | 0.688132i | \(-0.241569\pi\) |
−0.923762 | + | 0.382967i | \(0.874902\pi\) | |||||||
\(788\) | −0.548479 | − | 2.37572i | −0.0195387 | − | 0.0846316i | ||||
\(789\) | −11.6335 | − | 28.7938i | −0.414162 | − | 1.02509i | ||||
\(790\) | 5.81589 | − | 3.00951i | 0.206920 | − | 0.107073i | ||||
\(791\) | 14.7851 | + | 13.3126i | 0.525699 | + | 0.473341i | ||||
\(792\) | 12.0052 | + | 6.65461i | 0.426587 | + | 0.236461i | ||||
\(793\) | 0.0187132 | + | 0.0267252i | 0.000664524 | + | 0.000949038i | ||||
\(794\) | −10.5077 | − | 10.1472i | −0.372905 | − | 0.360110i | ||||
\(795\) | 4.68156 | − | 1.19853i | 0.166038 | − | 0.0425074i | ||||
\(796\) | 4.52498 | + | 18.1487i | 0.160384 | + | 0.643264i | ||||
\(797\) | −1.94805 | − | 12.2995i | −0.0690034 | − | 0.435670i | −0.997869 | − | 0.0652527i | \(-0.979215\pi\) |
0.928865 | − | 0.370417i | \(-0.120785\pi\) | |||||||
\(798\) | −35.1192 | + | 36.5938i | −1.24321 | + | 1.29541i | ||||
\(799\) | − | 16.3330i | − | 0.577821i | ||||||
\(800\) | −3.36379 | + | 3.69932i | −0.118928 | + | 0.130791i | ||||
\(801\) | −11.7511 | − | 32.2859i | −0.415205 | − | 1.14077i | ||||
\(802\) | 7.26608 | − | 5.47538i | 0.256574 | − | 0.193342i | ||||
\(803\) | −45.8347 | − | 0.800048i | −1.61747 | − | 0.0282331i | ||||
\(804\) | −19.9160 | + | 13.4335i | −0.702384 | + | 0.473764i | ||||
\(805\) | 3.63174 | + | 0.748140i | 0.128002 | + | 0.0263685i | ||||
\(806\) | 0.398485 | − | 0.0418825i | 0.0140360 | − | 0.00147525i | ||||
\(807\) | 5.76863 | − | 65.9357i | 0.203065 | − | 2.32105i | ||||
\(808\) | −2.87026 | − | 4.77691i | −0.100975 | − | 0.168051i | ||||
\(809\) | 9.56184 | − | 44.9849i | 0.336176 | − | 1.58159i | −0.407602 | − | 0.913160i | \(-0.633635\pi\) |
0.743779 | − | 0.668426i | \(-0.233032\pi\) | |||||||
\(810\) | 21.1942 | + | 7.98330i | 0.744687 | + | 0.280505i | ||||
\(811\) | 2.31295 | + | 1.80707i | 0.0812185 | + | 0.0634549i | 0.655453 | − | 0.755236i | \(-0.272478\pi\) |
−0.574234 | + | 0.818691i | \(0.694700\pi\) | |||||||
\(812\) | 5.43032 | + | 4.09204i | 0.190567 | + | 0.143603i | ||||
\(813\) | 3.98990 | − | 13.0504i | 0.139932 | − | 0.457696i | ||||
\(814\) | −39.0045 | + | 1.36207i | −1.36711 | + | 0.0477404i | ||||
\(815\) | 10.8716 | + | 0.121464i | 0.380814 | + | 0.00425470i | ||||
\(816\) | 4.63926 | − | 1.50739i | 0.162407 | − | 0.0527691i | ||||
\(817\) | −5.19322 | + | 29.9967i | −0.181688 | + | 1.04945i | ||||
\(818\) | −25.7807 | − | 25.7807i | −0.901399 | − | 0.901399i | ||||
\(819\) | −1.12983 | − | 0.0790051i | −0.0394793 | − | 0.00276066i | ||||
\(820\) | 5.55455 | − | 14.0006i | 0.193973 | − | 0.488920i | ||||
\(821\) | 14.7218 | − | 30.1841i | 0.513793 | − | 1.05343i | −0.471390 | − | 0.881925i | \(-0.656247\pi\) |
0.985183 | − | 0.171507i | \(-0.0548637\pi\) | |||||||
\(822\) | −0.673010 | + | 38.5567i | −0.0234739 | + | 1.34482i | ||||
\(823\) | −52.2793 | + | 6.41909i | −1.82234 | + | 0.223756i | −0.959498 | − | 0.281714i | \(-0.909097\pi\) |
−0.862844 | + | 0.505470i | \(0.831319\pi\) | |||||||
\(824\) | −10.6401 | + | 6.14308i | −0.370666 | + | 0.214004i | ||||
\(825\) | −4.10234 | − | 63.0998i | −0.142825 | − | 2.19685i | ||||
\(826\) | −11.7198 | + | 9.83412i | −0.407786 | + | 0.342173i | ||||
\(827\) | −2.53365 | + | 5.96890i | −0.0881036 | + | 0.207559i | −0.958688 | − | 0.284460i | \(-0.908186\pi\) |
0.870584 | + | 0.492020i | \(0.163741\pi\) | |||||||
\(828\) | 0.802760 | + | 0.308151i | 0.0278979 | + | 0.0107090i | ||||
\(829\) | 1.56515 | − | 14.8914i | 0.0543598 | − | 0.517199i | −0.933133 | − | 0.359532i | \(-0.882936\pi\) |
0.987492 | − | 0.157666i | \(-0.0503971\pi\) | |||||||
\(830\) | −9.07266 | − | 4.35470i | −0.314916 | − | 0.151154i | ||||
\(831\) | −64.9620 | + | 31.6841i | −2.25351 | + | 1.09911i | ||||
\(832\) | −0.0514382 | + | 0.0734614i | −0.00178330 | + | 0.00254682i | ||||
\(833\) | −35.2472 | + | 6.85137i | −1.22124 | + | 0.237386i | ||||
\(834\) | 42.6478 | + | 17.2308i | 1.47677 | + | 0.596655i | ||||
\(835\) | 46.2078 | + | 29.5967i | 1.59909 | + | 1.02424i | ||||
\(836\) | −20.4840 | − | 11.2714i | −0.708454 | − | 0.389831i | ||||
\(837\) | 4.13885 | + | 2.10885i | 0.143060 | + | 0.0728926i | ||||
\(838\) | 7.58198 | + | 17.8620i | 0.261915 | + | 0.617033i | ||||
\(839\) | −0.362823 | − | 10.3899i | −0.0125260 | − | 0.358699i | −0.989429 | − | 0.145016i | \(-0.953676\pi\) |
0.976903 | − | 0.213682i | \(-0.0685457\pi\) | |||||||
\(840\) | 22.2176 | − | 13.5404i | 0.766582 | − | 0.467187i | ||||
\(841\) | −26.8380 | + | 3.77183i | −0.925447 | + | 0.130063i | ||||
\(842\) | −8.31090 | + | 14.9933i | −0.286413 | + | 0.516702i | ||||
\(843\) | −15.9438 | + | 59.5029i | −0.549132 | + | 2.04939i | ||||
\(844\) | −2.35727 | − | 22.4279i | −0.0811404 | − | 0.772000i | ||||
\(845\) | 23.0043 | + | 17.7414i | 0.791372 | + | 0.610322i | ||||
\(846\) | −1.40924 | − | 20.1531i | −0.0484508 | − | 0.692879i | ||||
\(847\) | 31.4288 | − | 81.8747i | 1.07991 | − | 2.81325i | ||||
\(848\) | −0.499229 | + | 0.768745i | −0.0171436 | + | 0.0263988i | ||||
\(849\) | −35.4019 | − | 12.8852i | −1.21499 | − | 0.442220i | ||||
\(850\) | −8.00731 | − | 6.54929i | −0.274648 | − | 0.224639i | ||||
\(851\) | −2.40776 | + | 0.424553i | −0.0825369 | + | 0.0145535i | ||||
\(852\) | 13.4088 | + | 12.5039i | 0.459377 | + | 0.428376i | ||||
\(853\) | −13.5242 | + | 22.5080i | −0.463059 | + | 0.770659i | −0.997204 | − | 0.0747338i | \(-0.976189\pi\) |
0.534145 | + | 0.845393i | \(0.320634\pi\) | |||||||
\(854\) | 1.45250 | + | 1.05530i | 0.0497036 | + | 0.0361118i | ||||
\(855\) | 23.3687 | + | 8.71961i | 0.799192 | + | 0.298204i | ||||
\(856\) | 13.6233 | − | 9.89789i | 0.465634 | − | 0.338303i | ||||
\(857\) | −1.85158 | − | 21.1637i | −0.0632489 | − | 0.722938i | −0.959926 | − | 0.280253i | \(-0.909582\pi\) |
0.896677 | − | 0.442685i | \(-0.145974\pi\) | |||||||
\(858\) | −0.216405 | − | 1.11331i | −0.00738795 | − | 0.0380077i | ||||
\(859\) | 5.65230 | + | 10.6304i | 0.192854 | + | 0.362706i | 0.960549 | − | 0.278109i | \(-0.0897077\pi\) |
−0.767695 | + | 0.640815i | \(0.778597\pi\) | |||||||
\(860\) | 6.51096 | − | 14.1949i | 0.222022 | − | 0.484042i | ||||
\(861\) | −48.2550 | + | 61.7636i | −1.64453 | + | 2.10490i | ||||
\(862\) | 1.52701 | + | 29.1371i | 0.0520102 | + | 0.992413i | ||||
\(863\) | 19.6519 | − | 12.7621i | 0.668959 | − | 0.434427i | −0.164970 | − | 0.986299i | \(-0.552753\pi\) |
0.833929 | + | 0.551872i | \(0.186086\pi\) | |||||||
\(864\) | −0.963967 | + | 0.389468i | −0.0327948 | + | 0.0132500i | ||||
\(865\) | −1.14509 | − | 1.21260i | −0.0389342 | − | 0.0412295i | ||||
\(866\) | 18.8218 | + | 4.00069i | 0.639589 | + | 0.135949i | ||||
\(867\) | −10.7474 | − | 27.9979i | −0.365000 | − | 0.950857i | ||||
\(868\) | 19.9837 | − | 9.31857i | 0.678292 | − | 0.316293i | ||||
\(869\) | −6.88600 | − | 14.1184i | −0.233591 | − | 0.478933i | ||||
\(870\) | 1.71297 | − | 7.05894i | 0.0580751 | − | 0.239320i | ||||
\(871\) | 0.878344 | + | 0.251861i | 0.0297616 | + | 0.00853399i | ||||
\(872\) | 11.2533 | + | 6.76165i | 0.381084 | + | 0.228978i | ||||
\(873\) | −13.9036 | − | 27.2874i | −0.470567 | − | 0.923539i | ||||
\(874\) | −1.36899 | − | 0.520634i | −0.0463068 | − | 0.0176107i | ||||
\(875\) | −49.6258 | − | 24.1188i | −1.67766 | − | 0.815363i | ||||
\(876\) | −12.9525 | + | 15.4362i | −0.437625 | + | 0.521542i | ||||
\(877\) | −19.1321 | + | 20.5167i | −0.646046 | + | 0.692799i | −0.967139 | − | 0.254248i | \(-0.918172\pi\) |
0.321093 | + | 0.947048i | \(0.395950\pi\) | |||||||
\(878\) | 17.0055 | − | 5.85547i | 0.573909 | − | 0.197613i | ||||
\(879\) | −17.3768 | − | 17.9942i | −0.586105 | − | 0.606929i | ||||
\(880\) | 8.67982 | + | 8.27728i | 0.292597 | + | 0.279027i | ||||
\(881\) | −40.7296 | − | 18.1340i | −1.37221 | − | 0.610949i | −0.417556 | − | 0.908651i | \(-0.637113\pi\) |
−0.954659 | + | 0.297702i | \(0.903780\pi\) | |||||||
\(882\) | −42.9000 | + | 11.4950i | −1.44452 | + | 0.387058i | ||||
\(883\) | −28.8329 | + | 17.3246i | −0.970304 | + | 0.583018i | −0.909754 | − | 0.415147i | \(-0.863730\pi\) |
−0.0605502 | + | 0.998165i | \(0.519286\pi\) | |||||||
\(884\) | −0.157347 | − | 0.0983212i | −0.00529215 | − | 0.00330690i | ||||
\(885\) | 14.6088 | + | 7.32835i | 0.491070 | + | 0.246340i | ||||
\(886\) | −3.83012 | − | 18.0193i | −0.128676 | − | 0.605371i | ||||
\(887\) | 1.20408 | − | 1.12282i | 0.0404290 | − | 0.0377007i | −0.661523 | − | 0.749925i | \(-0.730090\pi\) |
0.701952 | + | 0.712224i | \(0.252312\pi\) | |||||||
\(888\) | −10.3245 | + | 13.7010i | −0.346467 | + | 0.459777i | ||||
\(889\) | −97.8795 | − | 13.7561i | −3.28277 | − | 0.461364i | ||||
\(890\) | −2.80436 | − | 29.8904i | −0.0940022 | − | 1.00193i | ||||
\(891\) | 20.3513 | − | 50.3711i | 0.681793 | − | 1.68750i | ||||
\(892\) | 9.83555 | + | 1.55780i | 0.329319 | + | 0.0521589i | ||||
\(893\) | 2.50701 | + | 34.3198i | 0.0838940 | + | 1.14847i | ||||
\(894\) | 21.2089 | + | 29.1916i | 0.709333 | + | 0.976314i | ||||
\(895\) | 5.65724 | − | 33.3058i | 0.189101 | − | 1.11329i | ||||
\(896\) | −1.36030 | + | 4.74395i | −0.0454446 | + | 0.158484i | ||||
\(897\) | −0.0231309 | − | 0.0671771i | −0.000772320 | − | 0.00224298i | ||||
\(898\) | −3.50510 | − | 11.4647i | −0.116967 | − | 0.382581i | ||||
\(899\) | 2.10540 | − | 5.78453i | 0.0702189 | − | 0.192925i | ||||
\(900\) | −10.4452 | − | 7.39021i | −0.348174 | − | 0.246340i | ||||
\(901\) | −1.64234 | − | 0.948208i | −0.0547144 | − | 0.0315894i | ||||
\(902\) | −33.2585 | − | 14.1174i | −1.10739 | − | 0.470057i | ||||
\(903\) | −53.3152 | + | 61.3321i | −1.77422 | + | 2.04100i | ||||
\(904\) | 1.63971 | + | 3.68285i | 0.0545359 | + | 0.122490i | ||||
\(905\) | 33.9164 | − | 30.9265i | 1.12742 | − | 1.02803i | ||||
\(906\) | −2.81633 | − | 9.82170i | −0.0935662 | − | 0.326304i | ||||
\(907\) | −3.14755 | + | 2.20394i | −0.104513 | + | 0.0731805i | −0.624664 | − | 0.780893i | \(-0.714764\pi\) |
0.520152 | + | 0.854074i | \(0.325875\pi\) | |||||||
\(908\) | −6.28072 | + | 0.109630i | −0.208433 | + | 0.00363821i | ||||
\(909\) | 11.2381 | − | 8.78013i | 0.372743 | − | 0.291219i | ||||
\(910\) | −0.937730 | − | 0.316312i | −0.0310854 | − | 0.0104856i | ||||
\(911\) | 0.590102 | + | 0.191736i | 0.0195510 | + | 0.00635249i | 0.318776 | − | 0.947830i | \(-0.396728\pi\) |
−0.299225 | + | 0.954183i | \(0.596728\pi\) | |||||||
\(912\) | −9.51690 | + | 3.87950i | −0.315136 | + | 0.128463i | ||||
\(913\) | −10.9595 | + | 21.5092i | −0.362706 | + | 0.711850i | ||||
\(914\) | −30.1236 | + | 18.8233i | −0.996401 | + | 0.622620i | ||||
\(915\) | 0.419707 | − | 1.87150i | 0.0138751 | − | 0.0618700i | ||||
\(916\) | −5.90789 | + | 3.14128i | −0.195202 | + | 0.103791i | ||||
\(917\) | −46.8117 | − | 16.1185i | −1.54586 | − | 0.532281i | ||||
\(918\) | −0.909048 | − | 1.94946i | −0.0300031 | − | 0.0643418i | ||||
\(919\) | 8.85159 | − | 19.8810i | 0.291987 | − | 0.655814i | −0.706674 | − | 0.707539i | \(-0.749805\pi\) |
0.998661 | + | 0.0517254i | \(0.0164721\pi\) | |||||||
\(920\) | 0.610616 | + | 0.437805i | 0.0201314 | + | 0.0144340i | ||||
\(921\) | −1.75598 | + | 0.122790i | −0.0578615 | + | 0.00404607i | ||||
\(922\) | 5.83569 | + | 5.07289i | 0.192188 | + | 0.167067i | ||||
\(923\) | 0.0364969 | − | 0.696403i | 0.00120131 | − | 0.0229224i | ||||
\(924\) | −31.2063 | − | 54.0509i | −1.02661 | − | 1.77814i | ||||
\(925\) | 36.2796 | + | 2.71529i | 1.19286 | + | 0.0892782i | ||||
\(926\) | −24.4202 | − | 4.30594i | −0.802498 | − | 0.141502i | ||||
\(927\) | −18.9215 | − | 25.1097i | −0.621465 | − | 0.824712i | ||||
\(928\) | 0.667960 | + | 1.20503i | 0.0219269 | + | 0.0395571i | ||||
\(929\) | 10.6864 | − | 2.66442i | 0.350610 | − | 0.0874168i | −0.0626359 | − | 0.998036i | \(-0.519951\pi\) |
0.413245 | + | 0.910620i | \(0.364395\pi\) | |||||||
\(930\) | −17.6036 | − | 15.6513i | −0.577246 | − | 0.513226i | ||||
\(931\) | 73.0118 | − | 19.8067i | 2.39286 | − | 0.649138i | ||||
\(932\) | 4.94198 | − | 4.94198i | 0.161880 | − | 0.161880i | ||||
\(933\) | 1.04468 | − | 0.908128i | 0.0342013 | − | 0.0297308i | ||||
\(934\) | 9.59224 | + | 12.2775i | 0.313868 | + | 0.401732i | ||||
\(935\) | −16.1617 | + | 18.8294i | −0.528543 | + | 0.615789i | ||||
\(936\) | −0.202632 | − | 0.107741i | −0.00662322 | − | 0.00352163i | ||||
\(937\) | −0.817631 | − | 0.876802i | −0.0267108 | − | 0.0286439i | 0.717858 | − | 0.696190i | \(-0.245123\pi\) |
−0.744569 | + | 0.667546i | \(0.767345\pi\) | |||||||
\(938\) | 50.2147 | − | 2.63164i | 1.63957 | − | 0.0859261i | ||||
\(939\) | 43.1530 | + | 47.9263i | 1.40825 | + | 1.56402i | ||||
\(940\) | 3.25937 | − | 17.3491i | 0.106309 | − | 0.565865i | ||||
\(941\) | 11.3743 | − | 18.2027i | 0.370793 | − | 0.593392i | −0.609058 | − | 0.793126i | \(-0.708452\pi\) |
0.979850 | + | 0.199734i | \(0.0640077\pi\) | |||||||
\(942\) | −17.4601 | − | 14.1389i | −0.568881 | − | 0.460671i | ||||
\(943\) | −2.18626 | − | 0.585807i | −0.0711945 | − | 0.0190765i | ||||
\(944\) | −2.97997 | + | 0.854492i | −0.0969897 | + | 0.0278113i | ||||
\(945\) | −7.12017 | − | 8.99635i | −0.231619 | − | 0.292651i | ||||
\(946\) | −33.6701 | − | 16.4220i | −1.09471 | − | 0.533925i | ||||
\(947\) | −35.4643 | + | 19.6582i | −1.15244 | + | 0.638805i | −0.940940 | − | 0.338574i | \(-0.890056\pi\) |
−0.211495 | + | 0.977379i | \(0.567833\pi\) | |||||||
\(948\) | −6.72783 | − | 1.55324i | −0.218510 | − | 0.0504469i | ||||
\(949\) | 0.766447 | 0.0248799 | ||||||||
\(950\) | 17.8307 | + | 12.5327i | 0.578503 | + | 0.406613i | ||||
\(951\) | 2.53191 | 0.0821029 | ||||||||
\(952\) | −9.94866 | − | 2.29683i | −0.322438 | − | 0.0744407i | ||||
\(953\) | 37.5576 | − | 20.8185i | 1.21661 | − | 0.674378i | 0.259960 | − | 0.965619i | \(-0.416290\pi\) |
0.956650 | + | 0.291241i | \(0.0940683\pi\) | |||||||
\(954\) | −2.10828 | − | 1.02828i | −0.0682582 | − | 0.0332917i | ||||
\(955\) | 6.48094 | + | 1.81440i | 0.209718 | + | 0.0587127i | ||||
\(956\) | −17.8001 | + | 5.10410i | −0.575697 | + | 0.165079i | ||||
\(957\) | −16.8305 | − | 4.50972i | −0.544052 | − | 0.145778i | ||||
\(958\) | 1.69860 | + | 1.37550i | 0.0548792 | + | 0.0444403i | ||||
\(959\) | 42.7735 | − | 68.4518i | 1.38123 | − | 2.21043i | ||||
\(960\) | 5.22868 | − | 0.675364i | 0.168755 | − | 0.0217973i | ||||
\(961\) | 7.38580 | + | 8.20276i | 0.238252 | + | 0.264605i | ||||
\(962\) | 0.651635 | − | 0.0341507i | 0.0210096 | − | 0.00110106i | ||||
\(963\) | 29.3890 | + | 31.5158i | 0.947047 | + | 1.01558i | ||||
\(964\) | 23.9958 | + | 12.7588i | 0.772853 | + | 0.410933i | ||||
\(965\) | 15.8331 | + | 25.9797i | 0.509687 | + | 0.836317i | ||||
\(966\) | −2.40711 | − | 3.08097i | −0.0774476 | − | 0.0991285i | ||||
\(967\) | 16.7759 | − | 14.5830i | 0.539475 | − | 0.468959i | −0.342988 | − | 0.939340i | \(-0.611439\pi\) |
0.882463 | + | 0.470381i | \(0.155883\pi\) | |||||||
\(968\) | 12.5657 | − | 12.5657i | 0.403875 | − | 0.403875i | ||||
\(969\) | −9.04583 | − | 19.2426i | −0.290594 | − | 0.618161i | ||||
\(970\) | −5.72805 | − | 26.1399i | −0.183917 | − | 0.839303i | ||||
\(971\) | 0.628796 | − | 0.156777i | 0.0201790 | − | 0.00503120i | −0.231819 | − | 0.972759i | \(-0.574468\pi\) |
0.251998 | + | 0.967728i | \(0.418912\pi\) | |||||||
\(972\) | −10.0653 | − | 18.1583i | −0.322846 | − | 0.582429i | ||||
\(973\) | −57.9418 | − | 76.8913i | −1.85753 | − | 2.46502i | ||||
\(974\) | 13.6262 | + | 2.40267i | 0.436612 | + | 0.0769864i | ||||
\(975\) | 0.0869904 | + | 1.05363i | 0.00278592 | + | 0.0337433i | ||||
\(976\) | 0.181899 | + | 0.315059i | 0.00582245 | + | 0.0100848i | ||||
\(977\) | 1.81664 | − | 34.6635i | 0.0581194 | − | 1.10898i | −0.801482 | − | 0.598019i | \(-0.795955\pi\) |
0.859601 | − | 0.510965i | \(-0.170712\pi\) | |||||||
\(978\) | −8.65194 | − | 7.52102i | −0.276659 | − | 0.240496i | ||||
\(979\) | −71.8396 | + | 5.02351i | −2.29600 | + | 0.160552i | ||||
\(980\) | −38.8072 | + | 0.243756i | −1.23965 | + | 0.00778649i | ||||
\(981\) | −13.6648 | + | 30.6917i | −0.436285 | + | 0.979911i | ||||
\(982\) | 3.34185 | + | 7.16662i | 0.106643 | + | 0.228696i | ||||
\(983\) | 5.64315 | + | 1.94309i | 0.179988 | + | 0.0619750i | 0.414084 | − | 0.910239i | \(-0.364102\pi\) |
−0.234096 | + | 0.972214i | \(0.575213\pi\) | |||||||
\(984\) | −14.0229 | + | 7.45609i | −0.447033 | + | 0.237692i | ||||
\(985\) | 5.42817 | − | 0.509279i | 0.172956 | − | 0.0162270i | ||||
\(986\) | −2.41736 | + | 1.51054i | −0.0769846 | + | 0.0481053i | ||||
\(987\) | −41.7032 | + | 81.8471i | −1.32743 | + | 2.60522i | ||||
\(988\) | 0.345717 | + | 0.182446i | 0.0109987 | + | 0.00580438i | ||||
\(989\) | −2.23189 | − | 0.725185i | −0.0709700 | − | 0.0230595i | ||||
\(990\) | −18.3171 | + | 24.6279i | −0.582154 | + | 0.782726i | ||||
\(991\) | 31.8828 | − | 24.9095i | 1.01279 | − | 0.791278i | 0.0346860 | − | 0.999398i | \(-0.488957\pi\) |
0.978103 | + | 0.208121i | \(0.0667347\pi\) | |||||||
\(992\) | 4.46722 | − | 0.0779755i | 0.141834 | − | 0.00247573i | ||||
\(993\) | 41.2537 | − | 28.8861i | 1.30915 | − | 0.916674i | ||||
\(994\) | −10.5778 | − | 36.8893i | −0.335509 | − | 1.17006i | ||||
\(995\) | −41.5667 | + | 4.63298i | −1.31775 | + | 0.146875i | ||||
\(996\) | 4.31601 | + | 9.69392i | 0.136758 | + | 0.307164i | ||||
\(997\) | −1.20911 | + | 1.39093i | −0.0382930 | + | 0.0440511i | −0.773535 | − | 0.633754i | \(-0.781513\pi\) |
0.735242 | + | 0.677805i | \(0.237069\pi\) | |||||||
\(998\) | 20.0487 | + | 8.51018i | 0.634631 | + | 0.269385i | ||||
\(999\) | 6.55137 | + | 3.78243i | 0.207276 | + | 0.119671i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 950.2.bi.a.3.4 | ✓ | 2400 | |
19.13 | odd | 18 | inner | 950.2.bi.a.203.47 | yes | 2400 | |
25.17 | odd | 20 | inner | 950.2.bi.a.117.47 | yes | 2400 | |
475.317 | even | 180 | inner | 950.2.bi.a.317.4 | yes | 2400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bi.a.3.4 | ✓ | 2400 | 1.1 | even | 1 | trivial | |
950.2.bi.a.117.47 | yes | 2400 | 25.17 | odd | 20 | inner | |
950.2.bi.a.203.47 | yes | 2400 | 19.13 | odd | 18 | inner | |
950.2.bi.a.317.4 | yes | 2400 | 475.317 | even | 180 | inner |