Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.20 | ||
Character | \(\chi\) | \(=\) | 570.29 |
Dual form | 570.2.bf.a.59.20 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | 1.67471 | + | 0.441997i | 0.966892 | + | 0.255187i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | −1.90673 | − | 1.16807i | −0.852716 | − | 0.522375i | ||||
\(6\) | −1.72602 | − | 0.144472i | −0.704643 | − | 0.0589805i | ||||
\(7\) | −2.42894 | − | 1.40235i | −0.918054 | − | 0.530039i | −0.0350404 | − | 0.999386i | \(-0.511156\pi\) |
−0.883014 | + | 0.469347i | \(0.844489\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 2.60928 | + | 1.48043i | 0.869759 | + | 0.493476i | ||||
\(10\) | 2.08060 | + | 0.819221i | 0.657942 | + | 0.259060i | ||||
\(11\) | −5.08124 | + | 2.93365i | −1.53205 | + | 0.884530i | −0.532784 | + | 0.846251i | \(0.678854\pi\) |
−0.999267 | + | 0.0382790i | \(0.987812\pi\) | |||||||
\(12\) | 1.72488 | − | 0.157442i | 0.497930 | − | 0.0454496i | ||||
\(13\) | −2.44808 | − | 2.05418i | −0.678974 | − | 0.569727i | 0.236732 | − | 0.971575i | \(-0.423924\pi\) |
−0.915706 | + | 0.401848i | \(0.868368\pi\) | |||||||
\(14\) | 2.63556 | + | 0.959265i | 0.704382 | + | 0.256374i | ||||
\(15\) | −2.67693 | − | 2.79894i | −0.691181 | − | 0.722682i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.740904 | + | 4.20188i | 0.179696 | + | 1.01910i | 0.932583 | + | 0.360955i | \(0.117549\pi\) |
−0.752887 | + | 0.658149i | \(0.771340\pi\) | |||||||
\(18\) | −2.82671 | − | 1.00484i | −0.666262 | − | 0.236843i | ||||
\(19\) | −1.47061 | + | 4.10333i | −0.337381 | + | 0.941368i | ||||
\(20\) | −2.19124 | − | 0.445483i | −0.489977 | − | 0.0996131i | ||||
\(21\) | −3.44793 | − | 3.42211i | −0.752400 | − | 0.746766i | ||||
\(22\) | 4.49462 | − | 3.77143i | 0.958256 | − | 0.804072i | ||||
\(23\) | −7.84429 | + | 2.85509i | −1.63565 | + | 0.595327i | −0.986270 | − | 0.165140i | \(-0.947192\pi\) |
−0.649377 | + | 0.760467i | \(0.724970\pi\) | |||||||
\(24\) | −1.67134 | + | 0.454573i | −0.341160 | + | 0.0927892i | ||||
\(25\) | 2.27124 | + | 4.45438i | 0.454248 | + | 0.890875i | ||||
\(26\) | 2.76759 | + | 1.59787i | 0.542769 | + | 0.313368i | ||||
\(27\) | 3.71543 | + | 3.63257i | 0.715034 | + | 0.699089i | ||||
\(28\) | −2.76209 | − | 0.487031i | −0.521986 | − | 0.0920403i | ||||
\(29\) | 0.140039 | − | 0.794199i | 0.0260045 | − | 0.147479i | −0.969041 | − | 0.246900i | \(-0.920588\pi\) |
0.995045 | + | 0.0994211i | \(0.0316991\pi\) | |||||||
\(30\) | 3.12229 | + | 2.29157i | 0.570050 | + | 0.418381i | ||||
\(31\) | −0.327703 | − | 0.189199i | −0.0588571 | − | 0.0339812i | 0.470283 | − | 0.882516i | \(-0.344152\pi\) |
−0.529140 | + | 0.848535i | \(0.677485\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | −9.80625 | + | 2.66712i | −1.70705 | + | 0.464286i | ||||
\(34\) | −1.45930 | − | 4.00938i | −0.250267 | − | 0.687604i | ||||
\(35\) | 2.99330 | + | 5.51107i | 0.505960 | + | 0.931541i | ||||
\(36\) | 2.95826 | + | 0.498722i | 0.493043 | + | 0.0831204i | ||||
\(37\) | 0.577661 | 0.0949669 | 0.0474834 | − | 0.998872i | \(-0.484880\pi\) | ||||
0.0474834 | + | 0.998872i | \(0.484880\pi\) | |||||||
\(38\) | 0.735732 | − | 4.29636i | 0.119351 | − | 0.696961i | ||||
\(39\) | −3.19186 | − | 4.52219i | −0.511107 | − | 0.724129i | ||||
\(40\) | 2.23531 | + | 0.0582100i | 0.353434 | + | 0.00920381i | ||||
\(41\) | 6.13650 | − | 5.14914i | 0.958361 | − | 0.804160i | −0.0223246 | − | 0.999751i | \(-0.507107\pi\) |
0.980686 | + | 0.195590i | \(0.0626623\pi\) | |||||||
\(42\) | 3.98979 | + | 2.77139i | 0.615638 | + | 0.427635i | ||||
\(43\) | 0.0911924 | − | 0.250549i | 0.0139067 | − | 0.0382084i | −0.932545 | − | 0.361054i | \(-0.882417\pi\) |
0.946452 | + | 0.322845i | \(0.104639\pi\) | |||||||
\(44\) | −3.77143 | + | 4.49462i | −0.568565 | + | 0.677589i | ||||
\(45\) | −3.24595 | − | 5.87059i | −0.483878 | − | 0.875136i | ||||
\(46\) | 7.22933 | − | 4.17386i | 1.06591 | − | 0.615402i | ||||
\(47\) | 1.53141 | − | 8.68509i | 0.223380 | − | 1.26685i | −0.642379 | − | 0.766388i | \(-0.722052\pi\) |
0.865758 | − | 0.500462i | \(-0.166837\pi\) | |||||||
\(48\) | 1.56701 | − | 0.737891i | 0.226178 | − | 0.106505i | ||||
\(49\) | 0.433177 | + | 0.750284i | 0.0618824 | + | 0.107183i | ||||
\(50\) | −3.01023 | − | 3.99231i | −0.425711 | − | 0.564597i | ||||
\(51\) | −0.616419 | + | 7.36438i | −0.0863159 | + | 1.03122i | ||||
\(52\) | −3.00301 | − | 1.09301i | −0.416442 | − | 0.151573i | ||||
\(53\) | 1.39838 | + | 3.84201i | 0.192082 | + | 0.527741i | 0.997925 | − | 0.0643884i | \(-0.0205096\pi\) |
−0.805843 | + | 0.592129i | \(0.798287\pi\) | |||||||
\(54\) | −4.28977 | − | 2.93221i | −0.583764 | − | 0.399023i | ||||
\(55\) | 13.1153 | + | 0.341536i | 1.76846 | + | 0.0460527i | ||||
\(56\) | 2.80470 | 0.374794 | ||||||||
\(57\) | −4.27649 | + | 6.22186i | −0.566436 | + | 0.824106i | ||||
\(58\) | 0.806451i | 0.105892i | ||||||||
\(59\) | −1.97667 | − | 11.2102i | −0.257340 | − | 1.45945i | −0.789993 | − | 0.613116i | \(-0.789916\pi\) |
0.532653 | − | 0.846334i | \(-0.321195\pi\) | |||||||
\(60\) | −3.47278 | − | 1.71458i | −0.448335 | − | 0.221351i | ||||
\(61\) | −5.56123 | + | 2.02412i | −0.712042 | + | 0.259162i | −0.672544 | − | 0.740057i | \(-0.734798\pi\) |
−0.0394986 | + | 0.999220i | \(0.512576\pi\) | |||||||
\(62\) | 0.355578 | + | 0.129420i | 0.0451585 | + | 0.0164363i | ||||
\(63\) | −4.26171 | − | 7.25500i | −0.536925 | − | 0.914044i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 2.26840 | + | 6.77628i | 0.281361 | + | 0.840494i | ||||
\(66\) | 9.19413 | − | 4.32943i | 1.13172 | − | 0.532917i | ||||
\(67\) | 0.0547307 | − | 0.310393i | 0.00668642 | − | 0.0379206i | −0.981282 | − | 0.192576i | \(-0.938316\pi\) |
0.987968 | + | 0.154656i | \(0.0494268\pi\) | |||||||
\(68\) | 2.13335 | + | 3.69507i | 0.258707 | + | 0.448093i | ||||
\(69\) | −14.3988 | + | 1.31428i | −1.73341 | + | 0.158221i | ||||
\(70\) | −3.90481 | − | 4.90757i | −0.466714 | − | 0.586566i | ||||
\(71\) | −11.7903 | − | 4.29132i | −1.39925 | − | 0.509286i | −0.471295 | − | 0.881976i | \(-0.656213\pi\) |
−0.927956 | + | 0.372690i | \(0.878435\pi\) | |||||||
\(72\) | −2.99992 | + | 0.0225503i | −0.353543 | + | 0.00265758i | ||||
\(73\) | −0.930133 | − | 1.10849i | −0.108864 | − | 0.129739i | 0.708861 | − | 0.705348i | \(-0.249209\pi\) |
−0.817725 | + | 0.575609i | \(0.804765\pi\) | |||||||
\(74\) | −0.568885 | + | 0.100310i | −0.0661315 | + | 0.0116608i | ||||
\(75\) | 1.83484 | + | 8.46365i | 0.211869 | + | 0.977298i | ||||
\(76\) | 0.0215007 | + | 4.35885i | 0.00246630 | + | 0.499994i | ||||
\(77\) | 16.4561 | 1.87534 | ||||||||
\(78\) | 3.92864 | + | 3.89922i | 0.444831 | + | 0.441500i | ||||
\(79\) | 0.149928 | + | 0.178677i | 0.0168682 | + | 0.0201028i | 0.774413 | − | 0.632681i | \(-0.218046\pi\) |
−0.757544 | + | 0.652784i | \(0.773601\pi\) | |||||||
\(80\) | −2.21146 | + | 0.330832i | −0.247249 | + | 0.0369881i | ||||
\(81\) | 4.61666 | + | 7.72570i | 0.512963 | + | 0.858411i | ||||
\(82\) | −5.14914 | + | 6.13650i | −0.568627 | + | 0.677664i | ||||
\(83\) | −1.81869 | + | 3.15006i | −0.199627 | + | 0.345764i | −0.948408 | − | 0.317054i | \(-0.897306\pi\) |
0.748780 | + | 0.662818i | \(0.230640\pi\) | |||||||
\(84\) | −4.41043 | − | 2.03647i | −0.481217 | − | 0.222197i | ||||
\(85\) | 3.49537 | − | 8.87727i | 0.379126 | − | 0.962875i | ||||
\(86\) | −0.0462996 | + | 0.262578i | −0.00499262 | + | 0.0283145i | ||||
\(87\) | 0.585557 | − | 1.26815i | 0.0627783 | − | 0.135960i | ||||
\(88\) | 2.93365 | − | 5.08124i | 0.312729 | − | 0.541662i | ||||
\(89\) | −11.3272 | − | 9.50467i | −1.20068 | − | 1.00749i | −0.999610 | − | 0.0279174i | \(-0.991112\pi\) |
−0.201074 | − | 0.979576i | \(-0.564443\pi\) | |||||||
\(90\) | 4.21605 | + | 5.21775i | 0.444411 | + | 0.549999i | ||||
\(91\) | 3.06556 | + | 8.42254i | 0.321358 | + | 0.882923i | ||||
\(92\) | −6.39472 | + | 5.36581i | −0.666696 | + | 0.559424i | ||||
\(93\) | −0.465180 | − | 0.461696i | −0.0482369 | − | 0.0478757i | ||||
\(94\) | 8.81907i | 0.909617i | ||||||||
\(95\) | 7.59702 | − | 6.10617i | 0.779437 | − | 0.626480i | ||||
\(96\) | −1.41507 | + | 0.998789i | −0.144425 | + | 0.101938i | ||||
\(97\) | 2.19206 | + | 12.4318i | 0.222570 | + | 1.26226i | 0.867276 | + | 0.497828i | \(0.165869\pi\) |
−0.644705 | + | 0.764431i | \(0.723020\pi\) | |||||||
\(98\) | −0.556881 | − | 0.663665i | −0.0562535 | − | 0.0670403i | ||||
\(99\) | −17.6014 | + | 0.132309i | −1.76901 | + | 0.0132976i | ||||
\(100\) | 3.65776 | + | 3.40893i | 0.365776 | + | 0.340893i | ||||
\(101\) | −6.16510 | + | 7.34728i | −0.613450 | + | 0.731081i | −0.979929 | − | 0.199345i | \(-0.936119\pi\) |
0.366479 | + | 0.930426i | \(0.380563\pi\) | |||||||
\(102\) | −0.671758 | − | 7.35954i | −0.0665139 | − | 0.728703i | ||||
\(103\) | −4.45159 | − | 7.71039i | −0.438629 | − | 0.759727i | 0.558955 | − | 0.829198i | \(-0.311202\pi\) |
−0.997584 | + | 0.0694708i | \(0.977869\pi\) | |||||||
\(104\) | 3.14718 | + | 0.554934i | 0.308607 | + | 0.0544157i | ||||
\(105\) | 2.57702 | + | 10.5525i | 0.251492 | + | 1.02981i | ||||
\(106\) | −2.04429 | − | 3.54082i | −0.198559 | − | 0.343915i | ||||
\(107\) | 2.42461 | + | 1.39985i | 0.234396 | + | 0.135329i | 0.612598 | − | 0.790394i | \(-0.290124\pi\) |
−0.378202 | + | 0.925723i | \(0.623458\pi\) | |||||||
\(108\) | 4.73377 | + | 2.14275i | 0.455508 | + | 0.206186i | ||||
\(109\) | −4.43192 | + | 12.1766i | −0.424501 | + | 1.16631i | 0.524604 | + | 0.851347i | \(0.324213\pi\) |
−0.949105 | + | 0.314960i | \(0.898009\pi\) | |||||||
\(110\) | −12.9753 | + | 1.94109i | −1.23715 | + | 0.185076i | ||||
\(111\) | 0.967412 | + | 0.255324i | 0.0918227 | + | 0.0242343i | ||||
\(112\) | −2.76209 | + | 0.487031i | −0.260993 | + | 0.0460201i | ||||
\(113\) | − | 9.30807i | − | 0.875629i | −0.899065 | − | 0.437815i | \(-0.855753\pi\) | ||
0.899065 | − | 0.437815i | \(-0.144247\pi\) | |||||||
\(114\) | 3.13111 | − | 6.86995i | 0.293255 | − | 0.643429i | ||||
\(115\) | 18.2919 | + | 3.71877i | 1.70573 | + | 0.346777i | ||||
\(116\) | −0.140039 | − | 0.794199i | −0.0130023 | − | 0.0737396i | ||||
\(117\) | −3.34664 | − | 8.98412i | −0.309397 | − | 0.830583i | ||||
\(118\) | 3.89328 | + | 10.6967i | 0.358405 | + | 0.984710i | ||||
\(119\) | 4.09289 | − | 11.2451i | 0.375195 | − | 1.03084i | ||||
\(120\) | 3.71776 | + | 1.08548i | 0.339383 | + | 0.0990907i | ||||
\(121\) | 11.7127 | − | 20.2869i | 1.06479 | − | 1.84427i | ||||
\(122\) | 5.12526 | − | 2.95907i | 0.464019 | − | 0.267901i | ||||
\(123\) | 12.5527 | − | 5.91098i | 1.13184 | − | 0.532975i | ||||
\(124\) | −0.372650 | − | 0.0657082i | −0.0334649 | − | 0.00590077i | ||||
\(125\) | 0.872361 | − | 11.1463i | 0.0780263 | − | 0.996951i | ||||
\(126\) | 5.45678 | + | 6.40474i | 0.486129 | + | 0.570580i | ||||
\(127\) | 9.55303 | + | 8.01594i | 0.847694 | + | 0.711300i | 0.959281 | − | 0.282455i | \(-0.0911488\pi\) |
−0.111587 | + | 0.993755i | \(0.535593\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | 0.263462 | − | 0.379289i | 0.0231966 | − | 0.0333946i | ||||
\(130\) | −3.41063 | − | 6.27943i | −0.299132 | − | 0.550742i | ||||
\(131\) | −5.96444 | + | 1.05169i | −0.521116 | + | 0.0918868i | −0.428018 | − | 0.903770i | \(-0.640788\pi\) |
−0.0930978 | + | 0.995657i | \(0.529677\pi\) | |||||||
\(132\) | −8.30265 | + | 5.86020i | −0.722653 | + | 0.510065i | ||||
\(133\) | 9.32633 | − | 7.90444i | 0.808696 | − | 0.685402i | ||||
\(134\) | 0.315182i | 0.0272276i | ||||||||
\(135\) | −2.84123 | − | 11.2662i | −0.244534 | − | 0.969641i | ||||
\(136\) | −2.74258 | − | 3.26848i | −0.235174 | − | 0.280270i | ||||
\(137\) | 18.0494 | − | 6.56946i | 1.54207 | − | 0.561267i | 0.575527 | − | 0.817782i | \(-0.304797\pi\) |
0.966540 | + | 0.256516i | \(0.0825746\pi\) | |||||||
\(138\) | 13.9518 | − | 3.79464i | 1.18766 | − | 0.323021i | ||||
\(139\) | 1.23736 | + | 1.03826i | 0.104951 | + | 0.0880645i | 0.693753 | − | 0.720213i | \(-0.255956\pi\) |
−0.588802 | + | 0.808277i | \(0.700400\pi\) | |||||||
\(140\) | 4.69768 | + | 4.15494i | 0.397026 | + | 0.351157i | ||||
\(141\) | 6.40345 | − | 13.8681i | 0.539268 | − | 1.16790i | ||||
\(142\) | 12.3564 | + | 2.17876i | 1.03692 | + | 0.182837i | ||||
\(143\) | 18.4655 | + | 3.25597i | 1.54416 | + | 0.272278i | ||||
\(144\) | 2.95042 | − | 0.543138i | 0.245869 | − | 0.0452615i | ||||
\(145\) | −1.19469 | + | 1.35075i | −0.0992139 | + | 0.112174i | ||||
\(146\) | 1.10849 | + | 0.930133i | 0.0917393 | + | 0.0769784i | ||||
\(147\) | 0.393820 | + | 1.44797i | 0.0324818 | + | 0.119426i | ||||
\(148\) | 0.542824 | − | 0.197572i | 0.0446198 | − | 0.0162403i | ||||
\(149\) | 12.1342 | + | 14.4610i | 0.994073 | + | 1.18469i | 0.982785 | + | 0.184754i | \(0.0591487\pi\) |
0.0112880 | + | 0.999936i | \(0.496407\pi\) | |||||||
\(150\) | −3.27666 | − | 8.01645i | −0.267538 | − | 0.654540i | ||||
\(151\) | − | 2.05253i | − | 0.167033i | −0.996506 | − | 0.0835163i | \(-0.973385\pi\) | ||
0.996506 | − | 0.0835163i | \(-0.0266151\pi\) | |||||||
\(152\) | −0.778080 | − | 4.28889i | −0.0631106 | − | 0.347875i | ||||
\(153\) | −4.28735 | + | 12.0607i | −0.346612 | + | 0.975051i | ||||
\(154\) | −16.2061 | + | 2.85756i | −1.30592 | + | 0.230269i | ||||
\(155\) | 0.403843 | + | 0.743530i | 0.0324375 | + | 0.0597218i | ||||
\(156\) | −4.54605 | − | 3.15778i | −0.363975 | − | 0.252825i | ||||
\(157\) | −1.00557 | + | 2.76277i | −0.0802528 | + | 0.220493i | −0.973329 | − | 0.229412i | \(-0.926320\pi\) |
0.893077 | + | 0.449905i | \(0.148542\pi\) | |||||||
\(158\) | −0.178677 | − | 0.149928i | −0.0142148 | − | 0.0119276i | ||||
\(159\) | 0.643715 | + | 7.05232i | 0.0510499 | + | 0.559285i | ||||
\(160\) | 2.12041 | − | 0.709822i | 0.167633 | − | 0.0561163i | ||||
\(161\) | 23.0572 | + | 4.06560i | 1.81716 | + | 0.320414i | ||||
\(162\) | −5.88808 | − | 6.80665i | −0.462611 | − | 0.534781i | ||||
\(163\) | −12.2818 | + | 7.09091i | −0.961986 | + | 0.555403i | −0.896784 | − | 0.442469i | \(-0.854103\pi\) |
−0.0652022 | + | 0.997872i | \(0.520769\pi\) | |||||||
\(164\) | 4.00532 | − | 6.93742i | 0.312763 | − | 0.541721i | ||||
\(165\) | 21.8132 | + | 6.36887i | 1.69816 | + | 0.495816i | ||||
\(166\) | 1.24406 | − | 3.41802i | 0.0965575 | − | 0.265290i | ||||
\(167\) | 3.24444 | + | 8.91402i | 0.251062 | + | 0.689788i | 0.999642 | + | 0.0267434i | \(0.00851371\pi\) |
−0.748580 | + | 0.663044i | \(0.769264\pi\) | |||||||
\(168\) | 4.69705 | + | 1.23967i | 0.362385 | + | 0.0956425i | ||||
\(169\) | −0.484006 | − | 2.74493i | −0.0372312 | − | 0.211149i | ||||
\(170\) | −1.90074 | + | 9.34937i | −0.145780 | + | 0.717064i | ||||
\(171\) | −9.91191 | + | 8.52959i | −0.757983 | + | 0.652274i | ||||
\(172\) | − | 0.266629i | − | 0.0203303i | ||||||
\(173\) | −1.47394 | + | 0.259896i | −0.112062 | + | 0.0197595i | −0.229398 | − | 0.973333i | \(-0.573676\pi\) |
0.117336 | + | 0.993092i | \(0.462565\pi\) | |||||||
\(174\) | −0.356449 | + | 1.35057i | −0.0270223 | + | 0.102386i | ||||
\(175\) | 0.729881 | − | 14.0045i | 0.0551738 | − | 1.05864i | ||||
\(176\) | −2.00674 | + | 5.51347i | −0.151264 | + | 0.415593i | ||||
\(177\) | 1.64455 | − | 19.6475i | 0.123612 | − | 1.47680i | ||||
\(178\) | 12.8056 | + | 7.39332i | 0.959821 | + | 0.554153i | ||||
\(179\) | 6.01949 | + | 10.4261i | 0.449918 | + | 0.779280i | 0.998380 | − | 0.0568949i | \(-0.0181200\pi\) |
−0.548463 | + | 0.836175i | \(0.684787\pi\) | |||||||
\(180\) | −5.05806 | − | 4.40637i | −0.377005 | − | 0.328431i | ||||
\(181\) | 12.8250 | + | 2.26140i | 0.953277 | + | 0.168088i | 0.628593 | − | 0.777734i | \(-0.283631\pi\) |
0.324684 | + | 0.945823i | \(0.394742\pi\) | |||||||
\(182\) | −4.48154 | − | 7.76226i | −0.332194 | − | 0.575377i | ||||
\(183\) | −10.2081 | + | 0.931764i | −0.754603 | + | 0.0688780i | ||||
\(184\) | 5.36581 | − | 6.39472i | 0.395573 | − | 0.471425i | ||||
\(185\) | −1.10144 | − | 0.674746i | −0.0809797 | − | 0.0496083i | ||||
\(186\) | 0.538286 | + | 0.373905i | 0.0394690 | + | 0.0274160i | ||||
\(187\) | −16.0916 | − | 19.1772i | −1.17673 | − | 1.40237i | ||||
\(188\) | −1.53141 | − | 8.68509i | −0.111690 | − | 0.633425i | ||||
\(189\) | −3.93042 | − | 14.0337i | −0.285896 | − | 1.02080i | ||||
\(190\) | −6.42127 | + | 7.33261i | −0.465848 | + | 0.531964i | ||||
\(191\) | 22.7737i | 1.64785i | 0.566699 | + | 0.823925i | \(0.308220\pi\) | ||||
−0.566699 | + | 0.823925i | \(0.691780\pi\) | |||||||
\(192\) | 1.22013 | − | 1.22934i | 0.0880555 | − | 0.0887199i | ||||
\(193\) | −16.0924 | + | 13.5031i | −1.15836 | + | 0.971976i | −0.999882 | − | 0.0153865i | \(-0.995102\pi\) |
−0.158475 | + | 0.987363i | \(0.550658\pi\) | |||||||
\(194\) | −4.31752 | − | 11.8623i | −0.309980 | − | 0.851663i | ||||
\(195\) | 0.803812 | + | 12.3509i | 0.0575622 | + | 0.884466i | ||||
\(196\) | 0.663665 | + | 0.556881i | 0.0474046 | + | 0.0397772i | ||||
\(197\) | −3.42024 | + | 5.92404i | −0.243682 | + | 0.422070i | −0.961760 | − | 0.273892i | \(-0.911689\pi\) |
0.718078 | + | 0.695963i | \(0.245022\pi\) | |||||||
\(198\) | 17.3111 | − | 3.18676i | 1.23024 | − | 0.226473i | ||||
\(199\) | 1.29993 | − | 7.37224i | 0.0921493 | − | 0.522604i | −0.903434 | − | 0.428726i | \(-0.858962\pi\) |
0.995584 | − | 0.0938782i | \(-0.0299264\pi\) | |||||||
\(200\) | −4.19414 | − | 2.72198i | −0.296571 | − | 0.192473i | ||||
\(201\) | 0.228851 | − | 0.495627i | 0.0161419 | − | 0.0349588i | ||||
\(202\) | 4.79559 | − | 8.30621i | 0.337417 | − | 0.584423i | ||||
\(203\) | −1.45389 | + | 1.73268i | −0.102043 | + | 0.121610i | ||||
\(204\) | 1.93952 | + | 7.13109i | 0.135794 | + | 0.499276i | ||||
\(205\) | −17.7152 | + | 2.65017i | −1.23728 | + | 0.185096i | ||||
\(206\) | 5.72286 | + | 6.82024i | 0.398730 | + | 0.475188i | ||||
\(207\) | −24.6947 | − | 4.16319i | −1.71640 | − | 0.289362i | ||||
\(208\) | −3.19574 | −0.221584 | ||||||||
\(209\) | −4.56523 | − | 25.1643i | −0.315784 | − | 1.74065i | ||||
\(210\) | −4.37029 | − | 9.94464i | −0.301578 | − | 0.686245i | ||||
\(211\) | −9.93375 | + | 1.75159i | −0.683868 | + | 0.120584i | −0.504779 | − | 0.863249i | \(-0.668426\pi\) |
−0.179089 | + | 0.983833i | \(0.557315\pi\) | |||||||
\(212\) | 2.62809 | + | 3.13204i | 0.180498 | + | 0.215109i | ||||
\(213\) | −17.8485 | − | 12.3980i | −1.22296 | − | 0.849494i | ||||
\(214\) | −2.63086 | − | 0.957553i | −0.179842 | − | 0.0654570i | ||||
\(215\) | −0.466537 | + | 0.371211i | −0.0318176 | + | 0.0253164i | ||||
\(216\) | −5.03394 | − | 1.28819i | −0.342516 | − | 0.0876500i | ||||
\(217\) | 0.530647 | + | 0.919108i | 0.0360227 | + | 0.0623931i | ||||
\(218\) | 2.25015 | − | 12.7612i | 0.152399 | − | 0.864298i | ||||
\(219\) | −1.06775 | − | 2.26751i | −0.0721519 | − | 0.153224i | ||||
\(220\) | 12.4411 | − | 4.16474i | 0.838780 | − | 0.280787i | ||||
\(221\) | 6.81762 | − | 11.8085i | 0.458603 | − | 0.794323i | ||||
\(222\) | −0.997051 | − | 0.0834559i | −0.0669177 | − | 0.00560119i | ||||
\(223\) | 19.0599 | + | 6.93723i | 1.27634 | + | 0.464551i | 0.889222 | − | 0.457477i | \(-0.151247\pi\) |
0.387123 | + | 0.922028i | \(0.373469\pi\) | |||||||
\(224\) | 2.63556 | − | 0.959265i | 0.176096 | − | 0.0640936i | ||||
\(225\) | −0.668084 | + | 14.9851i | −0.0445389 | + | 0.999008i | ||||
\(226\) | 1.61633 | + | 9.16666i | 0.107517 | + | 0.609757i | ||||
\(227\) | 27.1644i | 1.80297i | 0.432814 | + | 0.901483i | \(0.357521\pi\) | ||||
−0.432814 | + | 0.901483i | \(0.642479\pi\) | |||||||
\(228\) | −1.89059 | + | 7.30929i | −0.125207 | + | 0.484069i | ||||
\(229\) | −0.853480 | −0.0563995 | −0.0281998 | − | 0.999602i | \(-0.508977\pi\) | ||||
−0.0281998 | + | 0.999602i | \(0.508977\pi\) | |||||||
\(230\) | −18.6597 | − | 0.485920i | −1.23039 | − | 0.0320406i | ||||
\(231\) | 27.5590 | + | 7.27352i | 1.81325 | + | 0.478563i | ||||
\(232\) | 0.275823 | + | 0.757816i | 0.0181086 | + | 0.0497531i | ||||
\(233\) | −10.1506 | − | 3.69452i | −0.664989 | − | 0.242036i | −0.0125999 | − | 0.999921i | \(-0.504011\pi\) |
−0.652389 | + | 0.757885i | \(0.726233\pi\) | |||||||
\(234\) | 4.85588 | + | 8.26650i | 0.317439 | + | 0.540398i | ||||
\(235\) | −13.0648 | + | 14.7713i | −0.852250 | + | 0.963575i | ||||
\(236\) | −5.69159 | − | 9.85813i | −0.370491 | − | 0.641709i | ||||
\(237\) | 0.172111 | + | 0.365500i | 0.0111798 | + | 0.0237418i | ||||
\(238\) | −2.07802 | + | 11.7850i | −0.134698 | + | 0.763909i | ||||
\(239\) | −17.8849 | + | 10.3259i | −1.15688 | + | 0.667924i | −0.950554 | − | 0.310559i | \(-0.899484\pi\) |
−0.206325 | + | 0.978484i | \(0.566150\pi\) | |||||||
\(240\) | −3.84977 | − | 0.423411i | −0.248502 | − | 0.0273311i | ||||
\(241\) | 0.922717 | − | 1.09965i | 0.0594374 | − | 0.0708348i | −0.735507 | − | 0.677518i | \(-0.763056\pi\) |
0.794944 | + | 0.606683i | \(0.207500\pi\) | |||||||
\(242\) | −8.01193 | + | 22.0126i | −0.515026 | + | 1.41502i | ||||
\(243\) | 4.31682 | + | 14.9788i | 0.276924 | + | 0.960892i | ||||
\(244\) | −4.53355 | + | 3.80410i | −0.290231 | + | 0.243533i | ||||
\(245\) | 0.0504304 | − | 1.93657i | 0.00322188 | − | 0.123723i | ||||
\(246\) | −11.3356 | + | 8.00094i | −0.722732 | + | 0.510121i | ||||
\(247\) | 12.0291 | − | 7.02436i | 0.765395 | − | 0.446950i | ||||
\(248\) | 0.378398 | 0.0240283 | ||||||||
\(249\) | −4.43809 | + | 4.47157i | −0.281252 | + | 0.283374i | ||||
\(250\) | 1.07642 | + | 11.1284i | 0.0680787 | + | 0.703822i | ||||
\(251\) | −9.26299 | − | 25.4498i | −0.584675 | − | 1.60638i | −0.780095 | − | 0.625661i | \(-0.784829\pi\) |
0.195421 | − | 0.980719i | \(-0.437393\pi\) | |||||||
\(252\) | −6.48605 | − | 5.35988i | −0.408583 | − | 0.337641i | ||||
\(253\) | 31.4829 | − | 37.5198i | 1.97931 | − | 2.35885i | ||||
\(254\) | −10.7998 | − | 6.23529i | −0.677643 | − | 0.391237i | ||||
\(255\) | 9.77743 | − | 13.3219i | 0.612287 | − | 0.834248i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 23.9090 | + | 4.21581i | 1.49140 | + | 0.262975i | 0.859125 | − | 0.511766i | \(-0.171009\pi\) |
0.632279 | + | 0.774741i | \(0.282120\pi\) | |||||||
\(258\) | −0.193597 | + | 0.419277i | −0.0120528 | + | 0.0261030i | ||||
\(259\) | −1.40311 | − | 0.810083i | −0.0871847 | − | 0.0503361i | ||||
\(260\) | 4.44922 | + | 5.59178i | 0.275929 | + | 0.346788i | ||||
\(261\) | 1.54116 | − | 1.86497i | 0.0953951 | − | 0.115439i | ||||
\(262\) | 5.69121 | − | 2.07143i | 0.351604 | − | 0.127973i | ||||
\(263\) | −17.5337 | + | 14.7126i | −1.08118 | + | 0.907215i | −0.996018 | − | 0.0891523i | \(-0.971584\pi\) |
−0.0851589 | + | 0.996367i | \(0.527140\pi\) | |||||||
\(264\) | 7.15890 | − | 7.21291i | 0.440600 | − | 0.443924i | ||||
\(265\) | 1.82140 | − | 8.95908i | 0.111887 | − | 0.550352i | ||||
\(266\) | −7.81205 | + | 9.40386i | −0.478988 | + | 0.576587i | ||||
\(267\) | −14.7687 | − | 20.9241i | −0.903832 | − | 1.28054i | ||||
\(268\) | −0.0547307 | − | 0.310393i | −0.00334321 | − | 0.0189603i | ||||
\(269\) | −9.51096 | + | 7.98064i | −0.579893 | + | 0.486588i | −0.884912 | − | 0.465758i | \(-0.845782\pi\) |
0.305019 | + | 0.952346i | \(0.401337\pi\) | |||||||
\(270\) | 4.75442 | + | 10.6017i | 0.289345 | + | 0.645197i | ||||
\(271\) | −24.9123 | − | 9.06735i | −1.51332 | − | 0.550802i | −0.553848 | − | 0.832618i | \(-0.686841\pi\) |
−0.959468 | + | 0.281816i | \(0.909063\pi\) | |||||||
\(272\) | 3.26848 | + | 2.74258i | 0.198181 | + | 0.166293i | ||||
\(273\) | 1.41117 | + | 15.4602i | 0.0854077 | + | 0.935697i | ||||
\(274\) | −16.6345 | + | 9.60390i | −1.00492 | + | 0.580193i | ||||
\(275\) | −24.6083 | − | 15.9707i | −1.48394 | − | 0.963070i | ||||
\(276\) | −13.0809 | + | 6.15970i | −0.787380 | + | 0.370771i | ||||
\(277\) | 0.521644 | − | 0.301171i | 0.0313426 | − | 0.0180956i | −0.484247 | − | 0.874931i | \(-0.660906\pi\) |
0.515589 | + | 0.856836i | \(0.327573\pi\) | |||||||
\(278\) | −1.39885 | − | 0.807627i | −0.0838975 | − | 0.0484382i | ||||
\(279\) | −0.574971 | − | 0.978814i | −0.0344226 | − | 0.0586000i | ||||
\(280\) | −5.34781 | − | 3.27608i | −0.319593 | − | 0.195783i | ||||
\(281\) | 8.68753 | − | 3.16200i | 0.518255 | − | 0.188629i | −0.0696316 | − | 0.997573i | \(-0.522182\pi\) |
0.587886 | + | 0.808943i | \(0.299960\pi\) | |||||||
\(282\) | −3.89800 | + | 14.7693i | −0.232122 | + | 0.879501i | ||||
\(283\) | −5.42480 | + | 0.956539i | −0.322471 | + | 0.0568604i | −0.332541 | − | 0.943089i | \(-0.607906\pi\) |
0.0100694 | + | 0.999949i | \(0.496795\pi\) | |||||||
\(284\) | −12.5470 | −0.744526 | ||||||||
\(285\) | 15.4217 | − | 6.86819i | 0.913501 | − | 0.406836i | ||||
\(286\) | −18.7504 | −1.10873 | ||||||||
\(287\) | −22.1261 | + | 3.90143i | −1.30606 | + | 0.230294i | ||||
\(288\) | −2.81129 | + | 1.04722i | −0.165657 | + | 0.0617081i | ||||
\(289\) | −1.13206 | + | 0.412034i | −0.0665915 | + | 0.0242373i | ||||
\(290\) | 0.941989 | − | 1.53768i | 0.0553155 | − | 0.0902960i | ||||
\(291\) | −1.82376 | + | 21.7885i | −0.106911 | + | 1.27727i | ||||
\(292\) | −1.25317 | − | 0.723515i | −0.0733359 | − | 0.0423405i | ||||
\(293\) | 10.8441 | − | 6.26085i | 0.633520 | − | 0.365763i | −0.148594 | − | 0.988898i | \(-0.547475\pi\) |
0.782114 | + | 0.623135i | \(0.214141\pi\) | |||||||
\(294\) | −0.639274 | − | 1.35758i | −0.0372832 | − | 0.0791759i | ||||
\(295\) | −9.32534 | + | 23.6838i | −0.542942 | + | 1.37892i | ||||
\(296\) | −0.500269 | + | 0.288830i | −0.0290775 | + | 0.0167879i | ||||
\(297\) | −29.5357 | − | 7.55819i | −1.71383 | − | 0.438571i | ||||
\(298\) | −14.4610 | − | 12.1342i | −0.837702 | − | 0.702916i | ||||
\(299\) | 25.0683 | + | 9.12410i | 1.44973 | + | 0.527660i | ||||
\(300\) | 4.61893 | + | 7.32568i | 0.266674 | + | 0.422948i | ||||
\(301\) | −0.572859 | + | 0.480686i | −0.0330191 | + | 0.0277063i | ||||
\(302\) | 0.356418 | + | 2.02135i | 0.0205096 | + | 0.116316i | ||||
\(303\) | −13.5722 | + | 9.57957i | −0.779702 | + | 0.550332i | ||||
\(304\) | 1.51102 | + | 4.08862i | 0.0866628 | + | 0.234499i | ||||
\(305\) | 12.9681 | + | 2.63643i | 0.742550 | + | 0.150962i | ||||
\(306\) | 2.12790 | − | 12.6220i | 0.121644 | − | 0.721551i | ||||
\(307\) | −11.9257 | + | 10.0068i | −0.680635 | + | 0.571121i | −0.916192 | − | 0.400740i | \(-0.868753\pi\) |
0.235557 | + | 0.971861i | \(0.424309\pi\) | |||||||
\(308\) | 15.4636 | − | 5.62830i | 0.881122 | − | 0.320702i | ||||
\(309\) | −4.04714 | − | 14.8802i | −0.230234 | − | 0.846506i | ||||
\(310\) | −0.526821 | − | 0.662108i | −0.0299214 | − | 0.0376052i | ||||
\(311\) | 20.1822 | + | 11.6522i | 1.14443 | + | 0.660737i | 0.947524 | − | 0.319686i | \(-0.103577\pi\) |
0.196906 | + | 0.980422i | \(0.436911\pi\) | |||||||
\(312\) | 5.02533 | + | 2.32040i | 0.284503 | + | 0.131367i | ||||
\(313\) | 1.39481 | + | 0.245942i | 0.0788392 | + | 0.0139015i | 0.212929 | − | 0.977068i | \(-0.431700\pi\) |
−0.134089 | + | 0.990969i | \(0.542811\pi\) | |||||||
\(314\) | 0.510539 | − | 2.89541i | 0.0288114 | − | 0.163397i | ||||
\(315\) | −0.348395 | + | 18.8113i | −0.0196298 | + | 1.05990i | ||||
\(316\) | 0.201998 | + | 0.116623i | 0.0113633 | + | 0.00656058i | ||||
\(317\) | 11.2821 | − | 13.4455i | 0.633667 | − | 0.755175i | −0.349689 | − | 0.936866i | \(-0.613713\pi\) |
0.983356 | + | 0.181691i | \(0.0581571\pi\) | |||||||
\(318\) | −1.85856 | − | 6.83340i | −0.104223 | − | 0.383198i | ||||
\(319\) | 1.61834 | + | 4.44634i | 0.0906094 | + | 0.248947i | ||||
\(320\) | −1.96494 | + | 1.06724i | −0.109844 | + | 0.0596607i | ||||
\(321\) | 3.44178 | + | 3.41600i | 0.192101 | + | 0.190663i | ||||
\(322\) | −23.4129 | −1.30475 | ||||||||
\(323\) | −18.3313 | − | 3.13914i | −1.01998 | − | 0.174667i | ||||
\(324\) | 6.98059 | + | 5.68079i | 0.387810 | + | 0.315599i | ||||
\(325\) | 3.58991 | − | 15.5702i | 0.199133 | − | 0.863678i | ||||
\(326\) | 10.8639 | − | 9.11590i | 0.601696 | − | 0.504883i | ||||
\(327\) | −12.8042 | + | 18.4333i | −0.708073 | + | 1.01937i | ||||
\(328\) | −2.73980 | + | 7.52754i | −0.151280 | + | 0.415639i | ||||
\(329\) | −15.8993 | + | 18.9480i | −0.876554 | + | 1.04464i | ||||
\(330\) | −22.5878 | − | 2.48429i | −1.24342 | − | 0.136755i | ||||
\(331\) | 1.47859 | − | 0.853667i | 0.0812709 | − | 0.0469218i | −0.458814 | − | 0.888532i | \(-0.651726\pi\) |
0.540085 | + | 0.841611i | \(0.318392\pi\) | |||||||
\(332\) | −0.631624 | + | 3.58212i | −0.0346649 | + | 0.196594i | ||||
\(333\) | 1.50728 | + | 0.855186i | 0.0825983 | + | 0.0468639i | ||||
\(334\) | −4.74305 | − | 8.21521i | −0.259528 | − | 0.449516i | ||||
\(335\) | −0.466917 | + | 0.527907i | −0.0255104 | + | 0.0288427i | ||||
\(336\) | −4.84096 | − | 0.405201i | −0.264096 | − | 0.0221055i | ||||
\(337\) | −25.3177 | − | 9.21487i | −1.37914 | − | 0.501966i | −0.457223 | − | 0.889352i | \(-0.651156\pi\) |
−0.921918 | + | 0.387386i | \(0.873378\pi\) | |||||||
\(338\) | 0.953305 | + | 2.61918i | 0.0518530 | + | 0.142465i | ||||
\(339\) | 4.11413 | − | 15.5883i | 0.223449 | − | 0.846639i | ||||
\(340\) | 0.248364 | − | 9.53739i | 0.0134695 | − | 0.517238i | ||||
\(341\) | 2.22018 | 0.120230 | ||||||||
\(342\) | 8.28018 | − | 10.1212i | 0.447741 | − | 0.547292i | ||||
\(343\) | 17.2031i | 0.928877i | ||||||||
\(344\) | 0.0462996 | + | 0.262578i | 0.00249631 | + | 0.0141573i | ||||
\(345\) | 28.9898 | + | 14.3128i | 1.56076 | + | 0.770574i | ||||
\(346\) | 1.40642 | − | 0.511895i | 0.0756096 | − | 0.0275196i | ||||
\(347\) | −2.97628 | − | 1.08328i | −0.159775 | − | 0.0581534i | 0.260894 | − | 0.965367i | \(-0.415983\pi\) |
−0.420670 | + | 0.907214i | \(0.638205\pi\) | |||||||
\(348\) | 0.116510 | − | 1.39195i | 0.00624558 | − | 0.0746162i | ||||
\(349\) | 3.83396 | − | 6.64061i | 0.205227 | − | 0.355464i | −0.744978 | − | 0.667089i | \(-0.767540\pi\) |
0.950205 | + | 0.311625i | \(0.100873\pi\) | |||||||
\(350\) | 1.71306 | + | 13.9185i | 0.0915671 | + | 0.743974i | ||||
\(351\) | −1.63369 | − | 16.5250i | −0.0871999 | − | 0.882038i | ||||
\(352\) | 1.01885 | − | 5.77817i | 0.0543048 | − | 0.307978i | ||||
\(353\) | −3.71414 | − | 6.43309i | −0.197684 | − | 0.342399i | 0.750093 | − | 0.661332i | \(-0.230009\pi\) |
−0.947777 | + | 0.318934i | \(0.896675\pi\) | |||||||
\(354\) | 1.79219 | + | 19.6346i | 0.0952539 | + | 1.04357i | ||||
\(355\) | 17.4684 | + | 21.9542i | 0.927125 | + | 1.16521i | ||||
\(356\) | −13.8949 | − | 5.05733i | −0.736429 | − | 0.268038i | ||||
\(357\) | 11.8247 | − | 17.0232i | 0.625829 | − | 0.900965i | ||||
\(358\) | −7.73850 | − | 9.22239i | −0.408993 | − | 0.487418i | ||||
\(359\) | 21.2531 | − | 3.74750i | 1.12170 | − | 0.197786i | 0.418111 | − | 0.908396i | \(-0.362692\pi\) |
0.703586 | + | 0.710610i | \(0.251581\pi\) | |||||||
\(360\) | 5.74637 | + | 3.46110i | 0.302860 | + | 0.182416i | ||||
\(361\) | −14.6746 | − | 12.0688i | −0.772348 | − | 0.635199i | ||||
\(362\) | −13.0229 | −0.684467 | ||||||||
\(363\) | 28.5820 | − | 28.7977i | 1.50017 | − | 1.51149i | ||||
\(364\) | 5.76136 | + | 6.86612i | 0.301977 | + | 0.359883i | ||||
\(365\) | 0.478724 | + | 3.20005i | 0.0250576 | + | 0.167498i | ||||
\(366\) | 9.89119 | − | 2.69022i | 0.517021 | − | 0.140620i | ||||
\(367\) | −4.65967 | + | 5.55318i | −0.243233 | + | 0.289874i | −0.873825 | − | 0.486241i | \(-0.838368\pi\) |
0.630592 | + | 0.776115i | \(0.282812\pi\) | |||||||
\(368\) | −4.17386 | + | 7.22933i | −0.217577 | + | 0.376855i | ||||
\(369\) | 23.6348 | − | 4.35088i | 1.23038 | − | 0.226498i | ||||
\(370\) | 1.20188 | + | 0.473232i | 0.0624827 | + | 0.0246021i | ||||
\(371\) | 1.99127 | − | 11.2930i | 0.103382 | − | 0.586306i | ||||
\(372\) | −0.595036 | − | 0.274752i | −0.0308512 | − | 0.0142452i | ||||
\(373\) | 5.38050 | − | 9.31930i | 0.278592 | − | 0.482535i | −0.692443 | − | 0.721472i | \(-0.743466\pi\) |
0.971035 | + | 0.238937i | \(0.0767990\pi\) | |||||||
\(374\) | 19.1772 | + | 16.0916i | 0.991629 | + | 0.832075i | ||||
\(375\) | 6.38755 | − | 18.2811i | 0.329852 | − | 0.944033i | ||||
\(376\) | 3.01630 | + | 8.28721i | 0.155554 | + | 0.427380i | ||||
\(377\) | −1.97425 | + | 1.65659i | −0.101679 | + | 0.0853190i | ||||
\(378\) | 6.30763 | + | 13.1379i | 0.324429 | + | 0.675743i | ||||
\(379\) | 30.9213i | 1.58832i | 0.607708 | + | 0.794161i | \(0.292089\pi\) | ||||
−0.607708 | + | 0.794161i | \(0.707911\pi\) | |||||||
\(380\) | 5.05043 | − | 8.33626i | 0.259081 | − | 0.427641i | ||||
\(381\) | 12.4555 | + | 17.6467i | 0.638114 | + | 0.904070i | ||||
\(382\) | −3.95462 | − | 22.4277i | −0.202336 | − | 1.14750i | ||||
\(383\) | −5.21084 | − | 6.21003i | −0.266261 | − | 0.317318i | 0.616303 | − | 0.787509i | \(-0.288629\pi\) |
−0.882565 | + | 0.470191i | \(0.844185\pi\) | |||||||
\(384\) | −0.988124 | + | 1.42254i | −0.0504250 | + | 0.0725935i | ||||
\(385\) | −31.3773 | − | 19.2218i | −1.59913 | − | 0.979632i | ||||
\(386\) | 13.5031 | − | 16.0924i | 0.687291 | − | 0.819082i | ||||
\(387\) | 0.608867 | − | 0.518749i | 0.0309504 | − | 0.0263695i | ||||
\(388\) | 6.31180 | + | 10.9324i | 0.320433 | + | 0.555006i | ||||
\(389\) | −1.30120 | − | 0.229437i | −0.0659736 | − | 0.0116329i | 0.140564 | − | 0.990072i | \(-0.455108\pi\) |
−0.206538 | + | 0.978439i | \(0.566220\pi\) | |||||||
\(390\) | −2.93631 | − | 12.0237i | −0.148686 | − | 0.608843i | ||||
\(391\) | −17.8086 | − | 30.8454i | −0.900619 | − | 1.55992i | ||||
\(392\) | −0.750284 | − | 0.433177i | −0.0378951 | − | 0.0218787i | ||||
\(393\) | −10.4535 | − | 0.874989i | −0.527311 | − | 0.0441374i | ||||
\(394\) | 2.33959 | − | 6.42796i | 0.117867 | − | 0.323836i | ||||
\(395\) | −0.0771655 | − | 0.515816i | −0.00388262 | − | 0.0259535i | ||||
\(396\) | −16.4947 | + | 6.14437i | −0.828889 | + | 0.308766i | ||||
\(397\) | −0.339352 | + | 0.0598368i | −0.0170316 | + | 0.00300312i | −0.182157 | − | 0.983269i | \(-0.558308\pi\) |
0.165126 | + | 0.986272i | \(0.447197\pi\) | |||||||
\(398\) | 7.48597i | 0.375238i | ||||||||
\(399\) | 19.1126 | − | 9.11541i | 0.956827 | − | 0.456341i | ||||
\(400\) | 4.60309 | + | 1.95232i | 0.230154 | + | 0.0976162i | ||||
\(401\) | 4.53340 | + | 25.7102i | 0.226387 | + | 1.28391i | 0.860016 | + | 0.510268i | \(0.170454\pi\) |
−0.633628 | + | 0.773638i | \(0.718435\pi\) | |||||||
\(402\) | −0.139309 | + | 0.527837i | −0.00694811 | + | 0.0263261i | ||||
\(403\) | 0.413592 | + | 1.13633i | 0.0206025 | + | 0.0566048i | ||||
\(404\) | −3.28038 | + | 9.01277i | −0.163205 | + | 0.448402i | ||||
\(405\) | 0.221398 | − | 20.1234i | 0.0110014 | − | 0.999939i | ||||
\(406\) | 1.13093 | − | 1.95882i | 0.0561270 | − | 0.0972148i | ||||
\(407\) | −2.93523 | + | 1.69466i | −0.145494 | + | 0.0840011i | ||||
\(408\) | −3.14836 | − | 6.68595i | −0.155867 | − | 0.331004i | ||||
\(409\) | 9.60037 | + | 1.69280i | 0.474708 | + | 0.0837038i | 0.405883 | − | 0.913925i | \(-0.366964\pi\) |
0.0688245 | + | 0.997629i | \(0.478075\pi\) | |||||||
\(410\) | 16.9859 | − | 5.68612i | 0.838872 | − | 0.280818i | ||||
\(411\) | 33.1312 | − | 3.02412i | 1.63424 | − | 0.149169i | ||||
\(412\) | −6.82024 | − | 5.72286i | −0.336009 | − | 0.281945i | ||||
\(413\) | −10.9195 | + | 30.0010i | −0.537313 | + | 1.47625i | ||||
\(414\) | 25.0424 | − | 0.188243i | 1.23077 | − | 0.00925165i | ||||
\(415\) | 7.14723 | − | 3.88197i | 0.350844 | − | 0.190558i | ||||
\(416\) | 3.14718 | − | 0.554934i | 0.154303 | − | 0.0272079i | ||||
\(417\) | 1.61330 | + | 2.28570i | 0.0790035 | + | 0.111931i | ||||
\(418\) | 8.86561 | + | 23.9892i | 0.433631 | + | 1.17335i | ||||
\(419\) | − | 18.9014i | − | 0.923392i | −0.887038 | − | 0.461696i | \(-0.847241\pi\) | ||
0.887038 | − | 0.461696i | \(-0.152759\pi\) | |||||||
\(420\) | 6.03076 | + | 9.03467i | 0.294271 | + | 0.440847i | ||||
\(421\) | −21.2072 | − | 25.2737i | −1.03358 | − | 1.23177i | −0.972322 | − | 0.233645i | \(-0.924935\pi\) |
−0.0612531 | − | 0.998122i | \(-0.519510\pi\) | |||||||
\(422\) | 9.47868 | − | 3.44996i | 0.461415 | − | 0.167941i | ||||
\(423\) | 16.8535 | − | 20.3947i | 0.819447 | − | 0.991622i | ||||
\(424\) | −3.13204 | − | 2.62809i | −0.152105 | − | 0.127631i | ||||
\(425\) | −17.0340 | + | 12.8437i | −0.826269 | + | 0.623013i | ||||
\(426\) | 19.7303 | + | 9.11025i | 0.955934 | + | 0.441393i | ||||
\(427\) | 16.3464 | + | 2.88232i | 0.791060 | + | 0.139485i | ||||
\(428\) | 2.75716 | + | 0.486162i | 0.133273 | + | 0.0234995i | ||||
\(429\) | 29.4852 | + | 13.6145i | 1.42356 | + | 0.657313i | ||||
\(430\) | 0.394990 | − | 0.446585i | 0.0190481 | − | 0.0215362i | ||||
\(431\) | −1.20151 | − | 1.00818i | −0.0578746 | − | 0.0485626i | 0.613392 | − | 0.789779i | \(-0.289805\pi\) |
−0.671266 | + | 0.741216i | \(0.734249\pi\) | |||||||
\(432\) | 5.18116 | + | 0.394482i | 0.249279 | + | 0.0189795i | ||||
\(433\) | −35.7640 | + | 13.0170i | −1.71871 | + | 0.625558i | −0.997726 | − | 0.0673985i | \(-0.978530\pi\) |
−0.720980 | + | 0.692956i | \(0.756308\pi\) | |||||||
\(434\) | −0.682187 | − | 0.812999i | −0.0327460 | − | 0.0390252i | ||||
\(435\) | −2.59779 | + | 1.73406i | −0.124554 | + | 0.0831417i | ||||
\(436\) | 12.9581i | 0.620579i | ||||||||
\(437\) | −0.179482 | − | 36.3864i | −0.00858579 | − | 1.74060i | ||||
\(438\) | 1.44528 | + | 2.04765i | 0.0690581 | + | 0.0978404i | ||||
\(439\) | 24.2706 | − | 4.27957i | 1.15837 | − | 0.204253i | 0.438745 | − | 0.898612i | \(-0.355423\pi\) |
0.719629 | + | 0.694359i | \(0.244312\pi\) | |||||||
\(440\) | −11.5289 | + | 6.26185i | −0.549619 | + | 0.298522i | ||||
\(441\) | 0.0195365 | + | 2.59899i | 0.000930310 | + | 0.123761i | ||||
\(442\) | −4.66352 | + | 12.8129i | −0.221821 | + | 0.609449i | ||||
\(443\) | −20.8019 | − | 17.4549i | −0.988330 | − | 0.829307i | −0.00300464 | − | 0.999995i | \(-0.500956\pi\) |
−0.985325 | + | 0.170688i | \(0.945401\pi\) | |||||||
\(444\) | 0.996396 | − | 0.0909481i | 0.0472869 | − | 0.00431621i | ||||
\(445\) | 10.4959 | + | 31.3538i | 0.497553 | + | 1.48631i | ||||
\(446\) | −19.9750 | − | 3.52212i | −0.945842 | − | 0.166777i | ||||
\(447\) | 13.9295 | + | 29.5812i | 0.658844 | + | 1.39914i | ||||
\(448\) | −2.42894 | + | 1.40235i | −0.114757 | + | 0.0662549i | ||||
\(449\) | −4.16071 | + | 7.20657i | −0.196356 | + | 0.340099i | −0.947344 | − | 0.320217i | \(-0.896244\pi\) |
0.750988 | + | 0.660316i | \(0.229578\pi\) | |||||||
\(450\) | −1.94420 | − | 14.8735i | −0.0916506 | − | 0.701142i | ||||
\(451\) | −16.0753 | + | 44.1664i | −0.756954 | + | 2.07971i | ||||
\(452\) | −3.18355 | − | 8.74672i | −0.149741 | − | 0.411411i | ||||
\(453\) | 0.907212 | − | 3.43739i | 0.0426245 | − | 0.161502i | ||||
\(454\) | −4.71705 | − | 26.7517i | −0.221382 | − | 1.25552i | ||||
\(455\) | 3.99290 | − | 19.6403i | 0.187190 | − | 0.920751i | ||||
\(456\) | 0.592621 | − | 7.52654i | 0.0277520 | − | 0.352463i | ||||
\(457\) | − | 20.3458i | − | 0.951736i | −0.879517 | − | 0.475868i | \(-0.842134\pi\) | ||
0.879517 | − | 0.475868i | \(-0.157866\pi\) | |||||||
\(458\) | 0.840514 | − | 0.148205i | 0.0392746 | − | 0.00692518i | ||||
\(459\) | −12.5109 | + | 18.3032i | −0.583957 | + | 0.854318i | ||||
\(460\) | 18.4606 | − | 2.76169i | 0.860731 | − | 0.128764i | ||||
\(461\) | −3.68782 | + | 10.1322i | −0.171759 | + | 0.471904i | −0.995467 | − | 0.0951107i | \(-0.969680\pi\) |
0.823708 | + | 0.567015i | \(0.191902\pi\) | |||||||
\(462\) | −28.4034 | − | 2.37744i | −1.32145 | − | 0.110609i | ||||
\(463\) | −32.5056 | − | 18.7671i | −1.51066 | − | 0.872181i | −0.999923 | − | 0.0124456i | \(-0.996038\pi\) |
−0.510740 | − | 0.859736i | \(-0.670628\pi\) | |||||||
\(464\) | −0.403226 | − | 0.698407i | −0.0187193 | − | 0.0324227i | ||||
\(465\) | 0.347681 | + | 1.42369i | 0.0161233 | + | 0.0660221i | ||||
\(466\) | 10.6379 | + | 1.87576i | 0.492793 | + | 0.0868928i | ||||
\(467\) | 12.8925 | + | 22.3305i | 0.596594 | + | 1.03333i | 0.993320 | + | 0.115394i | \(0.0368132\pi\) |
−0.396725 | + | 0.917937i | \(0.629853\pi\) | |||||||
\(468\) | −6.21757 | − | 7.29770i | −0.287407 | − | 0.337336i | ||||
\(469\) | −0.568218 | + | 0.677176i | −0.0262379 | + | 0.0312691i | ||||
\(470\) | 10.3013 | − | 16.8156i | 0.475161 | − | 0.775645i | ||||
\(471\) | −2.90516 | + | 4.18237i | −0.133863 | + | 0.192713i | ||||
\(472\) | 7.31697 | + | 8.72002i | 0.336791 | + | 0.401372i | ||||
\(473\) | 0.271654 | + | 1.54063i | 0.0124907 | + | 0.0708381i | ||||
\(474\) | −0.232964 | − | 0.330060i | −0.0107004 | − | 0.0151602i | ||||
\(475\) | −21.6179 | + | 2.76901i | −0.991896 | + | 0.127051i | ||||
\(476\) | − | 11.9668i | − | 0.548498i | ||||||
\(477\) | −2.03907 | + | 12.0951i | −0.0933625 | + | 0.553796i | ||||
\(478\) | 15.8201 | − | 13.2747i | 0.723596 | − | 0.607169i | ||||
\(479\) | 1.44121 | + | 3.95968i | 0.0658504 | + | 0.180922i | 0.968253 | − | 0.249970i | \(-0.0804209\pi\) |
−0.902403 | + | 0.430893i | \(0.858199\pi\) | |||||||
\(480\) | 3.86481 | − | 0.251527i | 0.176404 | − | 0.0114806i | ||||
\(481\) | −1.41416 | − | 1.18662i | −0.0644800 | − | 0.0541052i | ||||
\(482\) | −0.717747 | + | 1.24317i | −0.0326925 | + | 0.0566250i | ||||
\(483\) | 36.8170 | + | 16.9999i | 1.67523 | + | 0.773521i | ||||
\(484\) | 4.06776 | − | 23.0694i | 0.184898 | − | 1.04861i | ||||
\(485\) | 10.3415 | − | 26.2646i | 0.469584 | − | 1.19261i | ||||
\(486\) | −6.85228 | − | 14.0017i | −0.310826 | − | 0.635128i | ||||
\(487\) | 14.5391 | − | 25.1824i | 0.658827 | − | 1.14112i | −0.322092 | − | 0.946708i | \(-0.604386\pi\) |
0.980920 | − | 0.194414i | \(-0.0622806\pi\) | |||||||
\(488\) | 3.80410 | − | 4.53355i | 0.172204 | − | 0.205224i | ||||
\(489\) | −23.7026 | + | 6.44666i | −1.07187 | + | 0.291528i | ||||
\(490\) | 0.286617 | + | 1.91590i | 0.0129480 | + | 0.0865517i | ||||
\(491\) | −25.0503 | − | 29.8538i | −1.13050 | − | 1.34728i | −0.929987 | − | 0.367593i | \(-0.880182\pi\) |
−0.200518 | − | 0.979690i | \(-0.564262\pi\) | |||||||
\(492\) | 9.77405 | − | 9.84779i | 0.440648 | − | 0.443973i | ||||
\(493\) | 3.44088 | 0.154970 | ||||||||
\(494\) | −10.6266 | + | 9.00648i | −0.478114 | + | 0.405221i | ||||
\(495\) | 33.7157 | + | 20.3074i | 1.51541 | + | 0.912748i | ||||
\(496\) | −0.372650 | + | 0.0657082i | −0.0167325 | + | 0.00295038i | ||||
\(497\) | 22.6200 | + | 26.9575i | 1.01465 | + | 1.20921i | ||||
\(498\) | 3.59418 | − | 5.17430i | 0.161059 | − | 0.231866i | ||||
\(499\) | −11.7882 | − | 4.29054i | −0.527711 | − | 0.192071i | 0.0644052 | − | 0.997924i | \(-0.479485\pi\) |
−0.592116 | + | 0.805853i | \(0.701707\pi\) | |||||||
\(500\) | −2.99249 | − | 10.7724i | −0.133828 | − | 0.481757i | ||||
\(501\) | 1.49351 | + | 16.3624i | 0.0667252 | + | 0.731018i | ||||
\(502\) | 13.5416 | + | 23.4547i | 0.604390 | + | 1.04683i | ||||
\(503\) | 4.61087 | − | 26.1495i | 0.205588 | − | 1.16595i | −0.690923 | − | 0.722929i | \(-0.742795\pi\) |
0.896511 | − | 0.443021i | \(-0.146093\pi\) | |||||||
\(504\) | 7.31825 | + | 4.15216i | 0.325981 | + | 0.184952i | ||||
\(505\) | 20.3373 | − | 6.80803i | 0.904997 | − | 0.302953i | ||||
\(506\) | −24.4893 | + | 42.4167i | −1.08868 | + | 1.88565i | ||||
\(507\) | 0.402684 | − | 4.81088i | 0.0178838 | − | 0.213659i | ||||
\(508\) | 11.7185 | + | 4.26519i | 0.519925 | + | 0.189237i | ||||
\(509\) | −1.93283 | + | 0.703491i | −0.0856710 | + | 0.0311817i | −0.384500 | − | 0.923125i | \(-0.625626\pi\) |
0.298829 | + | 0.954307i | \(0.403404\pi\) | |||||||
\(510\) | −7.31557 | + | 14.8173i | −0.323939 | + | 0.656122i | ||||
\(511\) | 0.704749 | + | 3.99683i | 0.0311763 | + | 0.176809i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −20.3696 | + | 9.90353i | −0.899339 | + | 0.437251i | ||||
\(514\) | −24.2779 | −1.07085 | ||||||||
\(515\) | −0.518255 | + | 19.9014i | −0.0228370 | + | 0.876960i | ||||
\(516\) | 0.117849 | − | 0.446525i | 0.00518802 | − | 0.0196572i | ||||
\(517\) | 17.6976 | + | 48.6236i | 0.778338 | + | 2.13847i | ||||
\(518\) | 1.52246 | + | 0.554130i | 0.0668930 | + | 0.0243471i | ||||
\(519\) | −2.58329 | − | 0.216229i | −0.113394 | − | 0.00949138i | ||||
\(520\) | −5.35263 | − | 4.73423i | −0.234728 | − | 0.207610i | ||||
\(521\) | −1.30575 | − | 2.26163i | −0.0572061 | − | 0.0990838i | 0.836004 | − | 0.548723i | \(-0.184886\pi\) |
−0.893210 | + | 0.449639i | \(0.851553\pi\) | |||||||
\(522\) | −1.19389 | + | 2.10426i | −0.0522553 | + | 0.0921008i | ||||
\(523\) | −1.55123 | + | 8.79748i | −0.0678307 | + | 0.384687i | 0.931926 | + | 0.362647i | \(0.118127\pi\) |
−0.999757 | + | 0.0220395i | \(0.992984\pi\) | |||||||
\(524\) | −5.24504 | + | 3.02823i | −0.229131 | + | 0.132289i | ||||
\(525\) | 7.41228 | − | 23.1308i | 0.323498 | − | 1.00951i | ||||
\(526\) | 14.7126 | − | 17.5337i | 0.641498 | − | 0.764508i | ||||
\(527\) | 0.552195 | − | 1.51714i | 0.0240540 | − | 0.0660879i | ||||
\(528\) | −5.79763 | + | 8.34646i | −0.252309 | + | 0.363233i | ||||
\(529\) | 35.7623 | − | 30.0081i | 1.55488 | − | 1.30470i | ||||
\(530\) | −0.237996 | + | 9.13925i | −0.0103379 | + | 0.396984i | ||||
\(531\) | 11.4383 | − | 32.1770i | 0.496380 | − | 1.39636i | ||||
\(532\) | 6.06041 | − | 10.6175i | 0.262752 | − | 0.460329i | ||||
\(533\) | −25.5999 | −1.10885 | ||||||||
\(534\) | 18.1778 | + | 18.0417i | 0.786631 | + | 0.780740i | ||||
\(535\) | −2.98796 | − | 5.50124i | −0.129181 | − | 0.237839i | ||||
\(536\) | 0.107798 | + | 0.296174i | 0.00465619 | + | 0.0127928i | ||||
\(537\) | 5.47259 | + | 20.1212i | 0.236160 | + | 0.868293i | ||||
\(538\) | 7.98064 | − | 9.51096i | 0.344070 | − | 0.410046i | ||||
\(539\) | −4.40215 | − | 2.54158i | −0.189614 | − | 0.109474i | ||||
\(540\) | −6.52315 | − | 9.61501i | −0.280712 | − | 0.413764i | ||||
\(541\) | −7.17164 | + | 40.6724i | −0.308333 | + | 1.74864i | 0.299054 | + | 0.954236i | \(0.403329\pi\) |
−0.607387 | + | 0.794406i | \(0.707782\pi\) | |||||||
\(542\) | 26.1084 | + | 4.60361i | 1.12145 | + | 0.197742i | ||||
\(543\) | 20.4786 | + | 9.45580i | 0.878822 | + | 0.405787i | ||||
\(544\) | −3.69507 | − | 2.13335i | −0.158425 | − | 0.0914666i | ||||
\(545\) | 22.6736 | − | 18.0407i | 0.971229 | − | 0.772780i | ||||
\(546\) | −4.07437 | − | 14.9803i | −0.174367 | − | 0.641099i | ||||
\(547\) | 29.6537 | − | 10.7931i | 1.26790 | − | 0.461478i | 0.381487 | − | 0.924374i | \(-0.375412\pi\) |
0.886412 | + | 0.462896i | \(0.153190\pi\) | |||||||
\(548\) | 14.7140 | − | 12.3465i | 0.628552 | − | 0.527418i | ||||
\(549\) | −17.5074 | − | 2.95151i | −0.747196 | − | 0.125967i | ||||
\(550\) | 27.0078 | + | 11.4549i | 1.15161 | + | 0.488438i | ||||
\(551\) | 3.05292 | + | 1.74258i | 0.130059 | + | 0.0742365i | ||||
\(552\) | 11.8126 | − | 8.33761i | 0.502777 | − | 0.354872i | ||||
\(553\) | −0.113598 | − | 0.644249i | −0.00483070 | − | 0.0273963i | ||||
\(554\) | −0.461421 | + | 0.387179i | −0.0196039 | + | 0.0164496i | ||||
\(555\) | −1.54636 | − | 1.61684i | −0.0656392 | − | 0.0686309i | ||||
\(556\) | 1.51784 | + | 0.552449i | 0.0643708 | + | 0.0234291i | ||||
\(557\) | −3.04384 | − | 2.55408i | −0.128971 | − | 0.108220i | 0.576020 | − | 0.817435i | \(-0.304605\pi\) |
−0.704992 | + | 0.709215i | \(0.749049\pi\) | |||||||
\(558\) | 0.736205 | + | 0.864100i | 0.0311661 | + | 0.0365803i | ||||
\(559\) | −0.737919 | + | 0.426038i | −0.0312106 | + | 0.0180195i | ||||
\(560\) | 5.83545 | + | 2.29767i | 0.246593 | + | 0.0970943i | ||||
\(561\) | −18.4724 | − | 39.2286i | −0.779905 | − | 1.65623i | ||||
\(562\) | −8.00648 | + | 4.62254i | −0.337733 | + | 0.194990i | ||||
\(563\) | −29.3130 | − | 16.9238i | −1.23539 | − | 0.713255i | −0.267245 | − | 0.963629i | \(-0.586113\pi\) |
−0.968149 | + | 0.250374i | \(0.919447\pi\) | |||||||
\(564\) | 1.27411 | − | 15.2218i | 0.0536497 | − | 0.640955i | ||||
\(565\) | −10.8724 | + | 17.7480i | −0.457407 | + | 0.746663i | ||||
\(566\) | 5.17629 | − | 1.88401i | 0.217576 | − | 0.0791911i | ||||
\(567\) | −0.379470 | − | 25.2395i | −0.0159362 | − | 1.05996i | ||||
\(568\) | 12.3564 | − | 2.17876i | 0.518461 | − | 0.0914187i | ||||
\(569\) | −0.590427 | −0.0247520 | −0.0123760 | − | 0.999923i | \(-0.503940\pi\) | ||||
−0.0123760 | + | 0.999923i | \(0.503940\pi\) | |||||||
\(570\) | −13.9947 | + | 9.44179i | −0.586175 | + | 0.395473i | ||||
\(571\) | 34.7096 | 1.45255 | 0.726275 | − | 0.687404i | \(-0.241250\pi\) | ||||
0.726275 | + | 0.687404i | \(0.241250\pi\) | |||||||
\(572\) | 18.4655 | − | 3.25597i | 0.772082 | − | 0.136139i | ||||
\(573\) | −10.0659 | + | 38.1393i | −0.420510 | + | 1.59329i | ||||
\(574\) | 21.1125 | − | 7.68432i | 0.881219 | − | 0.320737i | ||||
\(575\) | −30.5339 | − | 28.4568i | −1.27335 | − | 1.18673i | ||||
\(576\) | 2.58673 | − | 1.51949i | 0.107780 | − | 0.0633119i | ||||
\(577\) | 24.0060 | + | 13.8599i | 0.999383 | + | 0.576994i | 0.908066 | − | 0.418828i | \(-0.137559\pi\) |
0.0913174 | + | 0.995822i | \(0.470892\pi\) | |||||||
\(578\) | 1.04331 | − | 0.602354i | 0.0433959 | − | 0.0250546i | ||||
\(579\) | −32.9184 | + | 15.5010i | −1.36804 | + | 0.644199i | ||||
\(580\) | −0.660661 | + | 1.67790i | −0.0274325 | + | 0.0696710i | ||||
\(581\) | 8.83499 | − | 5.10088i | 0.366537 | − | 0.211620i | ||||
\(582\) | −1.98748 | − | 21.7742i | −0.0823839 | − | 0.902569i | ||||
\(583\) | −18.3766 | − | 15.4198i | −0.761082 | − | 0.638624i | ||||
\(584\) | 1.35976 | + | 0.494914i | 0.0562674 | + | 0.0204797i | ||||
\(585\) | −4.11291 | + | 21.0394i | −0.170048 | + | 0.869872i | ||||
\(586\) | −9.59219 | + | 8.04880i | −0.396250 | + | 0.332493i | ||||
\(587\) | 5.05176 | + | 28.6499i | 0.208508 | + | 1.18251i | 0.891823 | + | 0.452385i | \(0.149427\pi\) |
−0.683315 | + | 0.730124i | \(0.739462\pi\) | |||||||
\(588\) | 0.865304 | + | 1.22595i | 0.0356845 | + | 0.0505573i | ||||
\(589\) | 1.25827 | − | 1.06643i | 0.0518461 | − | 0.0439416i | ||||
\(590\) | 5.07102 | − | 24.9433i | 0.208770 | − | 1.02690i | ||||
\(591\) | −8.34631 | + | 8.40928i | −0.343321 | + | 0.345912i | ||||
\(592\) | 0.442514 | − | 0.371313i | 0.0181872 | − | 0.0152609i | ||||
\(593\) | 38.9574 | − | 14.1793i | 1.59979 | − | 0.582276i | 0.620405 | − | 0.784282i | \(-0.286968\pi\) |
0.979384 | + | 0.202006i | \(0.0647460\pi\) | |||||||
\(594\) | 30.3994 | + | 2.31455i | 1.24730 | + | 0.0949671i | ||||
\(595\) | −20.9391 | + | 16.6607i | −0.858419 | + | 0.683020i | ||||
\(596\) | 16.3484 | + | 9.43874i | 0.669655 | + | 0.386626i | ||||
\(597\) | 5.43550 | − | 11.7718i | 0.222460 | − | 0.481787i | ||||
\(598\) | −26.2718 | − | 4.63243i | −1.07433 | − | 0.189434i | ||||
\(599\) | −4.28225 | + | 24.2858i | −0.174968 | + | 0.992293i | 0.763213 | + | 0.646147i | \(0.223621\pi\) |
−0.938181 | + | 0.346146i | \(0.887490\pi\) | |||||||
\(600\) | −5.82084 | − | 6.41231i | −0.237635 | − | 0.261782i | ||||
\(601\) | −4.73014 | − | 2.73095i | −0.192946 | − | 0.111398i | 0.400415 | − | 0.916334i | \(-0.368866\pi\) |
−0.593361 | + | 0.804936i | \(0.702199\pi\) | |||||||
\(602\) | 0.480686 | − | 0.572859i | 0.0195913 | − | 0.0233480i | ||||
\(603\) | 0.602323 | − | 0.728878i | 0.0245285 | − | 0.0296822i | ||||
\(604\) | −0.702007 | − | 1.92875i | −0.0285643 | − | 0.0784797i | ||||
\(605\) | −46.0294 | + | 25.0005i | −1.87136 | + | 1.01642i | ||||
\(606\) | 11.7025 | − | 11.7908i | 0.475383 | − | 0.478969i | ||||
\(607\) | −17.1854 | −0.697535 | −0.348767 | − | 0.937209i | \(-0.613400\pi\) | ||||
−0.348767 | + | 0.937209i | \(0.613400\pi\) | |||||||
\(608\) | −2.19804 | − | 3.76412i | −0.0891424 | − | 0.152655i | ||||
\(609\) | −3.20068 | + | 2.25912i | −0.129698 | + | 0.0915440i | ||||
\(610\) | −13.2289 | − | 0.344495i | −0.535621 | − | 0.0139482i | ||||
\(611\) | −21.5897 | + | 18.1159i | −0.873427 | + | 0.732892i | ||||
\(612\) | 0.0962152 | + | 12.7997i | 0.00388927 | + | 0.517398i | ||||
\(613\) | −10.1908 | + | 27.9989i | −0.411602 | + | 1.13087i | 0.544737 | + | 0.838607i | \(0.316629\pi\) |
−0.956339 | + | 0.292260i | \(0.905593\pi\) | |||||||
\(614\) | 10.0068 | − | 11.9257i | 0.403843 | − | 0.481282i | ||||
\(615\) | −30.8391 | − | 3.39180i | −1.24355 | − | 0.136770i | ||||
\(616\) | −14.2514 | + | 8.22803i | −0.574204 | + | 0.331517i | ||||
\(617\) | 7.35764 | − | 41.7272i | 0.296207 | − | 1.67987i | −0.366048 | − | 0.930596i | \(-0.619289\pi\) |
0.662255 | − | 0.749279i | \(-0.269600\pi\) | |||||||
\(618\) | 6.56958 | + | 13.9514i | 0.264267 | + | 0.561207i | ||||
\(619\) | −9.94278 | − | 17.2214i | −0.399634 | − | 0.692187i | 0.594046 | − | 0.804431i | \(-0.297530\pi\) |
−0.993681 | + | 0.112244i | \(0.964196\pi\) | |||||||
\(620\) | 0.633791 | + | 0.560567i | 0.0254537 | + | 0.0225129i | ||||
\(621\) | −39.5162 | − | 17.8871i | −1.58573 | − | 0.717784i | ||||
\(622\) | −21.8990 | − | 7.97059i | −0.878070 | − | 0.319591i | ||||
\(623\) | 14.1843 | + | 38.9711i | 0.568282 | + | 1.56134i | ||||
\(624\) | −5.35192 | − | 1.41250i | −0.214248 | − | 0.0565454i | ||||
\(625\) | −14.6829 | + | 20.2339i | −0.587317 | + | 0.809357i | ||||
\(626\) | −1.41632 | −0.0566077 | ||||||||
\(627\) | 3.47709 | − | 44.1605i | 0.138862 | − | 1.76360i | ||||
\(628\) | 2.94008i | 0.117322i | ||||||||
\(629\) | 0.427991 | + | 2.42726i | 0.0170651 | + | 0.0967812i | ||||
\(630\) | −2.92344 | − | 18.5860i | −0.116473 | − | 0.740484i | ||||
\(631\) | −15.0088 | + | 5.46277i | −0.597492 | + | 0.217469i | −0.623021 | − | 0.782205i | \(-0.714095\pi\) |
0.0255294 | + | 0.999674i | \(0.491873\pi\) | |||||||
\(632\) | −0.219180 | − | 0.0797751i | −0.00871852 | − | 0.00317328i | ||||
\(633\) | −17.4103 | − | 1.45729i | −0.691998 | − | 0.0579221i | ||||
\(634\) | −8.77593 | + | 15.2004i | −0.348537 | + | 0.603683i | ||||
\(635\) | −8.85189 | − | 26.4428i | −0.351277 | − | 1.04935i | ||||
\(636\) | 3.01693 | + | 6.40685i | 0.119629 | + | 0.254048i | ||||
\(637\) | 0.480768 | − | 2.72657i | 0.0190487 | − | 0.108031i | ||||
\(638\) | −2.36585 | − | 4.09777i | −0.0936649 | − | 0.162232i | ||||
\(639\) | −24.4112 | − | 28.6519i | −0.965691 | − | 1.13345i | ||||
\(640\) | 1.74976 | − | 1.39224i | 0.0691655 | − | 0.0550330i | ||||
\(641\) | −8.79759 | − | 3.20206i | −0.347484 | − | 0.126474i | 0.162381 | − | 0.986728i | \(-0.448083\pi\) |
−0.509865 | + | 0.860254i | \(0.670305\pi\) | |||||||
\(642\) | −3.98267 | − | 2.76645i | −0.157184 | − | 0.109183i | ||||
\(643\) | 6.26523 | + | 7.46661i | 0.247076 | + | 0.294454i | 0.875302 | − | 0.483577i | \(-0.160663\pi\) |
−0.628225 | + | 0.778032i | \(0.716218\pi\) | |||||||
\(644\) | 23.0572 | − | 4.06560i | 0.908579 | − | 0.160207i | ||||
\(645\) | −0.945387 | + | 0.415461i | −0.0372246 | + | 0.0163588i | ||||
\(646\) | 18.5979 | − | 0.0917371i | 0.731724 | − | 0.00360935i | ||||
\(647\) | 11.8796 | 0.467034 | 0.233517 | − | 0.972353i | \(-0.424976\pi\) | ||||
0.233517 | + | 0.972353i | \(0.424976\pi\) | |||||||
\(648\) | −7.86100 | − | 4.38232i | −0.308809 | − | 0.172154i | ||||
\(649\) | 42.9309 | + | 51.1631i | 1.68519 | + | 2.00833i | ||||
\(650\) | −0.831642 | + | 15.9570i | −0.0326197 | + | 0.625886i | ||||
\(651\) | 0.482435 | + | 1.77378i | 0.0189081 | + | 0.0695199i | ||||
\(652\) | −9.11590 | + | 10.8639i | −0.357006 | + | 0.425463i | ||||
\(653\) | −2.15300 | + | 3.72910i | −0.0842532 | + | 0.145931i | −0.905073 | − | 0.425257i | \(-0.860184\pi\) |
0.820820 | + | 0.571188i | \(0.193517\pi\) | |||||||
\(654\) | 9.40874 | − | 20.3767i | 0.367911 | − | 0.796792i | ||||
\(655\) | 12.6010 | + | 4.96157i | 0.492363 | + | 0.193865i | ||||
\(656\) | 1.39103 | − | 7.88894i | 0.0543107 | − | 0.308011i | ||||
\(657\) | −0.785937 | − | 4.26935i | −0.0306623 | − | 0.166563i | ||||
\(658\) | 12.3674 | − | 21.4210i | 0.482132 | − | 0.835078i | ||||
\(659\) | 2.44487 | + | 2.05149i | 0.0952387 | + | 0.0799147i | 0.689164 | − | 0.724606i | \(-0.257978\pi\) |
−0.593925 | + | 0.804520i | \(0.702422\pi\) | |||||||
\(660\) | 22.6760 | − | 1.47578i | 0.882663 | − | 0.0574448i | ||||
\(661\) | −2.66247 | − | 7.31507i | −0.103558 | − | 0.284523i | 0.877083 | − | 0.480340i | \(-0.159487\pi\) |
−0.980641 | + | 0.195816i | \(0.937264\pi\) | |||||||
\(662\) | −1.30789 | + | 1.09745i | −0.0508327 | + | 0.0426537i | ||||
\(663\) | 16.6368 | − | 16.7623i | 0.646120 | − | 0.650995i | ||||
\(664\) | − | 3.63738i | − | 0.141158i | ||||||
\(665\) | −27.0157 | + | 4.17786i | −1.04762 | + | 0.162011i | ||||
\(666\) | −1.63288 | − | 0.580457i | −0.0632728 | − | 0.0224923i | ||||
\(667\) | 1.16900 | + | 6.62975i | 0.0452640 | + | 0.256705i | ||||
\(668\) | 6.09755 | + | 7.26678i | 0.235921 | + | 0.281160i | ||||
\(669\) | 28.8535 | + | 20.0422i | 1.11554 | + | 0.774877i | ||||
\(670\) | 0.368153 | − | 0.600967i | 0.0142230 | − | 0.0232174i | ||||
\(671\) | 22.3199 | − | 26.5998i | 0.861649 | − | 1.02687i | ||||
\(672\) | 4.83778 | − | 0.441578i | 0.186621 | − | 0.0170342i | ||||
\(673\) | −3.97910 | − | 6.89200i | −0.153383 | − | 0.265667i | 0.779086 | − | 0.626917i | \(-0.215683\pi\) |
−0.932469 | + | 0.361250i | \(0.882350\pi\) | |||||||
\(674\) | 26.5332 | + | 4.67851i | 1.02202 | + | 0.180210i | ||||
\(675\) | −7.74221 | + | 24.8004i | −0.297998 | + | 0.954567i | ||||
\(676\) | −1.39364 | − | 2.41385i | −0.0536015 | − | 0.0928405i | ||||
\(677\) | 8.19808 | + | 4.73316i | 0.315078 | + | 0.181910i | 0.649196 | − | 0.760621i | \(-0.275105\pi\) |
−0.334119 | + | 0.942531i | \(0.608439\pi\) | |||||||
\(678\) | −1.34476 | + | 16.0659i | −0.0516451 | + | 0.617006i | ||||
\(679\) | 12.1094 | − | 33.2702i | 0.464715 | − | 1.27679i | ||||
\(680\) | 1.41156 | + | 9.43563i | 0.0541308 | + | 0.361840i | ||||
\(681\) | −12.0066 | + | 45.4924i | −0.460093 | + | 1.74327i | ||||
\(682\) | −2.18645 | + | 0.385530i | −0.0837235 | + | 0.0147627i | ||||
\(683\) | − | 12.9727i | − | 0.496385i | −0.968711 | − | 0.248193i | \(-0.920163\pi\) | ||
0.968711 | − | 0.248193i | \(-0.0798366\pi\) | |||||||
\(684\) | −6.39686 | + | 11.4053i | −0.244590 | + | 0.436091i | ||||
\(685\) | −42.0890 | − | 8.55676i | −1.60814 | − | 0.326937i | ||||
\(686\) | −2.98728 | − | 16.9417i | −0.114055 | − | 0.646837i | ||||
\(687\) | −1.42933 | − | 0.377235i | −0.0545323 | − | 0.0143924i | ||||
\(688\) | −0.0911924 | − | 0.250549i | −0.00347668 | − | 0.00955210i | ||||
\(689\) | 4.46885 | − | 12.2781i | 0.170249 | − | 0.467757i | ||||
\(690\) | −31.0348 | − | 9.06131i | −1.18147 | − | 0.344958i | ||||
\(691\) | 9.46593 | − | 16.3955i | 0.360101 | − | 0.623713i | −0.627876 | − | 0.778313i | \(-0.716076\pi\) |
0.987977 | + | 0.154600i | \(0.0494090\pi\) | |||||||
\(692\) | −1.29616 | + | 0.748340i | −0.0492727 | + | 0.0284476i | ||||
\(693\) | 42.9384 | + | 24.3620i | 1.63110 | + | 0.925436i | ||||
\(694\) | 3.11918 | + | 0.549995i | 0.118402 | + | 0.0208775i | ||||
\(695\) | −1.14654 | − | 3.42501i | −0.0434908 | − | 0.129918i | ||||
\(696\) | 0.126969 | + | 1.39103i | 0.00481276 | + | 0.0527269i | ||||
\(697\) | 26.1826 | + | 21.9698i | 0.991737 | + | 0.832166i | ||||
\(698\) | −2.62258 | + | 7.20549i | −0.0992662 | + | 0.272732i | ||||
\(699\) | −15.3663 | − | 10.6738i | −0.581208 | − | 0.403719i | ||||
\(700\) | −4.10396 | − | 13.4096i | −0.155115 | − | 0.506834i | ||||
\(701\) | −36.6308 | + | 6.45900i | −1.38353 | + | 0.243953i | −0.815357 | − | 0.578958i | \(-0.803459\pi\) |
−0.568170 | + | 0.822911i | \(0.692348\pi\) | |||||||
\(702\) | 4.47840 | + | 15.9902i | 0.169026 | + | 0.603512i | ||||
\(703\) | −0.849513 | + | 2.37033i | −0.0320400 | + | 0.0893988i | ||||
\(704\) | 5.86731i | 0.221133i | ||||||||
\(705\) | −28.4085 | + | 18.9630i | −1.06993 | + | 0.714189i | ||||
\(706\) | 4.77481 | + | 5.69040i | 0.179702 | + | 0.214161i | ||||
\(707\) | 25.2781 | − | 9.20049i | 0.950682 | − | 0.346020i | ||||
\(708\) | −5.17448 | − | 19.0251i | −0.194469 | − | 0.715008i | ||||
\(709\) | −6.29278 | − | 5.28027i | −0.236330 | − | 0.198305i | 0.516929 | − | 0.856028i | \(-0.327075\pi\) |
−0.753259 | + | 0.657724i | \(0.771519\pi\) | |||||||
\(710\) | −21.0153 | − | 18.5873i | −0.788690 | − | 0.697571i | ||||
\(711\) | 0.126685 | + | 0.688177i | 0.00475106 | + | 0.0258086i | ||||
\(712\) | 14.5620 | + | 2.56767i | 0.545734 | + | 0.0962277i | ||||
\(713\) | 3.11077 | + | 0.548513i | 0.116499 | + | 0.0205420i | ||||
\(714\) | −8.68900 | + | 18.8180i | −0.325178 | + | 0.704244i | ||||
\(715\) | −31.4056 | − | 27.7772i | −1.17450 | − | 1.03881i | ||||
\(716\) | 9.22239 | + | 7.73850i | 0.344657 | + | 0.289201i | ||||
\(717\) | −34.5160 | + | 9.38770i | −1.28902 | + | 0.350590i | ||||
\(718\) | −20.2795 | + | 7.38113i | −0.756824 | + | 0.275462i | ||||
\(719\) | 20.8681 | + | 24.8696i | 0.778249 | + | 0.927481i | 0.998853 | − | 0.0478821i | \(-0.0152472\pi\) |
−0.220604 | + | 0.975364i | \(0.570803\pi\) | |||||||
\(720\) | −6.26008 | − | 2.41067i | −0.233300 | − | 0.0898405i | ||||
\(721\) | 24.9708i | 0.929961i | ||||||||
\(722\) | 16.5474 | + | 9.33721i | 0.615830 | + | 0.347495i | ||||
\(723\) | 2.03132 | − | 1.43375i | 0.0755457 | − | 0.0533219i | ||||
\(724\) | 12.8250 | − | 2.26140i | 0.476639 | − | 0.0840442i | ||||
\(725\) | 3.85572 | − | 1.18003i | 0.143198 | − | 0.0438253i | ||||
\(726\) | −23.1471 | + | 33.3234i | −0.859070 | + | 1.23675i | ||||
\(727\) | −1.29903 | + | 3.56904i | −0.0481782 | + | 0.132368i | −0.961448 | − | 0.274987i | \(-0.911327\pi\) |
0.913270 | + | 0.407355i | \(0.133549\pi\) | |||||||
\(728\) | −6.86612 | − | 5.76136i | −0.254475 | − | 0.213530i | ||||
\(729\) | 0.608812 | + | 26.9931i | 0.0225486 | + | 0.999746i | ||||
\(730\) | −1.02713 | − | 3.06830i | −0.0380159 | − | 0.113563i | ||||
\(731\) | 1.12034 | + | 0.197546i | 0.0414373 | + | 0.00730652i | ||||
\(732\) | −9.27377 | + | 4.36694i | −0.342768 | + | 0.161407i | ||||
\(733\) | 11.0282 | − | 6.36716i | 0.407337 | − | 0.235176i | −0.282308 | − | 0.959324i | \(-0.591100\pi\) |
0.689645 | + | 0.724148i | \(0.257767\pi\) | |||||||
\(734\) | 3.62458 | − | 6.27796i | 0.133786 | − | 0.231724i | ||||
\(735\) | 0.940413 | − | 3.22089i | 0.0346876 | − | 0.118804i | ||||
\(736\) | 2.85509 | − | 7.84429i | 0.105240 | − | 0.289144i | ||||
\(737\) | 0.632487 | + | 1.73774i | 0.0232980 | + | 0.0640106i | ||||
\(738\) | −22.5202 | + | 8.38891i | −0.828980 | + | 0.308800i | ||||
\(739\) | 4.53532 | + | 25.7211i | 0.166834 | + | 0.946164i | 0.947153 | + | 0.320782i | \(0.103946\pi\) |
−0.780319 | + | 0.625382i | \(0.784943\pi\) | |||||||
\(740\) | −1.26580 | − | 0.257338i | −0.0465316 | − | 0.00945994i | ||||
\(741\) | 23.2500 | − | 6.44690i | 0.854110 | − | 0.236833i | ||||
\(742\) | 11.4673i | 0.420976i | ||||||||
\(743\) | −29.0022 | + | 5.11387i | −1.06399 | + | 0.187610i | −0.678125 | − | 0.734947i | \(-0.737207\pi\) |
−0.385862 | + | 0.922556i | \(0.626096\pi\) | |||||||
\(744\) | 0.633706 | + | 0.167251i | 0.0232328 | + | 0.00613171i | ||||
\(745\) | −6.24527 | − | 41.7468i | −0.228809 | − | 1.52948i | ||||
\(746\) | −3.68048 | + | 10.1120i | −0.134752 | + | 0.370228i | ||||
\(747\) | −9.40891 | + | 5.52695i | −0.344254 | + | 0.202220i | ||||
\(748\) | −21.6801 | − | 12.5170i | −0.792703 | − | 0.457667i | ||||
\(749\) | −3.92616 | − | 6.80031i | −0.143459 | − | 0.248478i | ||||
\(750\) | −3.11603 | + | 19.1126i | −0.113781 | + | 0.697892i | ||||
\(751\) | 25.9604 | + | 4.57753i | 0.947310 | + | 0.167036i | 0.625899 | − | 0.779904i | \(-0.284732\pi\) |
0.321410 | + | 0.946940i | \(0.395843\pi\) | |||||||
\(752\) | −4.40953 | − | 7.63754i | −0.160799 | − | 0.278512i | ||||
\(753\) | −4.26403 | − | 46.7152i | −0.155390 | − | 1.70240i | ||||
\(754\) | 1.65659 | − | 1.97425i | 0.0603296 | − | 0.0718981i | ||||
\(755\) | −2.39749 | + | 3.91362i | −0.0872537 | + | 0.142431i | ||||
\(756\) | −8.49318 | − | 11.8430i | −0.308894 | − | 0.430727i | ||||
\(757\) | −5.17672 | − | 6.16937i | −0.188151 | − | 0.224230i | 0.663720 | − | 0.747981i | \(-0.268977\pi\) |
−0.851871 | + | 0.523751i | \(0.824532\pi\) | |||||||
\(758\) | −5.36943 | − | 30.4516i | −0.195026 | − | 1.10605i | ||||
\(759\) | 69.3081 | − | 48.9193i | 2.51573 | − | 1.77566i | ||||
\(760\) | −3.52612 | + | 9.08661i | −0.127906 | + | 0.329606i | ||||
\(761\) | − | 37.1501i | − | 1.34669i | −0.739328 | − | 0.673345i | \(-0.764857\pi\) | ||
0.739328 | − | 0.673345i | \(-0.235143\pi\) | |||||||
\(762\) | −15.3306 | − | 15.2158i | −0.555369 | − | 0.551210i | ||||
\(763\) | 27.8408 | − | 23.3612i | 1.00790 | − | 0.845731i | ||||
\(764\) | 7.78907 | + | 21.4003i | 0.281799 | + | 0.774236i | ||||
\(765\) | 22.2625 | − | 17.9886i | 0.804904 | − | 0.650380i | ||||
\(766\) | 6.21003 | + | 5.21084i | 0.224378 | + | 0.188275i | ||||
\(767\) | −18.1888 | + | 31.5040i | −0.656760 | + | 1.13754i | ||||
\(768\) | 0.726091 | − | 1.57251i | 0.0262006 | − | 0.0567431i | ||||
\(769\) | −2.04832 | + | 11.6166i | −0.0738644 | + | 0.418906i | 0.925344 | + | 0.379128i | \(0.123776\pi\) |
−0.999209 | + | 0.0397776i | \(0.987335\pi\) | |||||||
\(770\) | 34.2384 | + | 13.4811i | 1.23387 | + | 0.485827i | ||||
\(771\) | 38.1772 | + | 17.6279i | 1.37492 | + | 0.634855i | ||||
\(772\) | −10.5036 | + | 18.1927i | −0.378032 | + | 0.654770i | ||||
\(773\) | −11.3515 | + | 13.5282i | −0.408284 | + | 0.486574i | −0.930527 | − | 0.366222i | \(-0.880651\pi\) |
0.522243 | + | 0.852797i | \(0.325095\pi\) | |||||||
\(774\) | −0.509537 | + | 0.616596i | −0.0183149 | + | 0.0221631i | ||||
\(775\) | 0.0984724 | − | 1.88943i | 0.00353723 | − | 0.0678702i | ||||
\(776\) | −8.11429 | − | 9.67023i | −0.291286 | − | 0.347141i | ||||
\(777\) | −1.99173 | − | 1.97682i | −0.0714531 | − | 0.0709180i | ||||
\(778\) | 1.32128 | 0.0473701 | ||||||||
\(779\) | 12.1042 | + | 32.7525i | 0.433678 | + | 1.17348i | ||||
\(780\) | 4.97959 | + | 11.3311i | 0.178298 | + | 0.405720i | ||||
\(781\) | 72.4986 | − | 12.7835i | 2.59420 | − | 0.457428i | ||||
\(782\) | 22.8943 | + | 27.2843i | 0.818698 | + | 0.975686i | ||||
\(783\) | 3.40529 | − | 2.44209i | 0.121695 | − | 0.0872732i | ||||
\(784\) | 0.814106 | + | 0.296310i | 0.0290752 | + | 0.0105825i | ||||
\(785\) | 5.14444 | − | 4.09329i | 0.183613 | − | 0.146096i | ||||
\(786\) | 10.4467 | − | 0.953541i | 0.372620 | − | 0.0340117i | ||||
\(787\) | −11.4307 | − | 19.7985i | −0.407460 | − | 0.705741i | 0.587144 | − | 0.809482i | \(-0.300252\pi\) |
−0.994604 | + | 0.103741i | \(0.966919\pi\) | |||||||
\(788\) | −1.18784 | + | 6.73657i | −0.0423150 | + | 0.239980i | ||||
\(789\) | −35.8668 | + | 16.8893i | −1.27689 | + | 0.601277i | ||||
\(790\) | 0.165564 | + | 0.494579i | 0.00589049 | + | 0.0175963i | ||||
\(791\) | −13.0532 | + | 22.6088i | −0.464118 | + | 0.803875i | ||||
\(792\) | 15.1771 | − | 8.91530i | 0.539296 | − | 0.316791i | ||||
\(793\) | 17.7722 | + | 6.46856i | 0.631110 | + | 0.229705i | ||||
\(794\) | 0.323805 | − | 0.117856i | 0.0114914 | − | 0.00418254i | ||||
\(795\) | 7.01019 | − | 14.1988i | 0.248626 | − | 0.503579i | ||||
\(796\) | −1.29993 | − | 7.37224i | −0.0460746 | − | 0.261302i | ||||
\(797\) | − | 3.93646i | − | 0.139437i | −0.997567 | − | 0.0697184i | \(-0.977790\pi\) | ||
0.997567 | − | 0.0697184i | \(-0.0222101\pi\) | |||||||
\(798\) | −17.2394 | + | 12.2958i | −0.610267 | + | 0.435266i | ||||
\(799\) | 37.6283 | 1.33119 | ||||||||
\(800\) | −4.87218 | − | 1.12335i | −0.172257 | − | 0.0397163i | ||||
\(801\) | −15.4849 | − | 41.5695i | −0.547132 | − | 1.46879i | ||||
\(802\) | −8.92905 | − | 24.5324i | −0.315296 | − | 0.866268i | ||||
\(803\) | 7.97816 | + | 2.90381i | 0.281543 | + | 0.102473i | ||||
\(804\) | 0.0455350 | − | 0.544008i | 0.00160589 | − | 0.0191857i | ||||
\(805\) | −39.2149 | − | 34.6843i | −1.38214 | − | 1.22246i | ||||
\(806\) | −0.604630 | − | 1.04725i | −0.0212972 | − | 0.0368878i | ||||
\(807\) | −19.4555 | + | 9.16141i | −0.684865 | + | 0.322497i | ||||
\(808\) | 1.66549 | − | 9.44548i | 0.0585918 | − | 0.332291i | ||||
\(809\) | 9.24481 | − | 5.33749i | 0.325030 | − | 0.187656i | −0.328602 | − | 0.944468i | \(-0.606578\pi\) |
0.653632 | + | 0.756812i | \(0.273244\pi\) | |||||||
\(810\) | 3.27636 | + | 19.8561i | 0.115119 | + | 0.697673i | ||||
\(811\) | −26.0094 | + | 30.9968i | −0.913313 | + | 1.08844i | 0.0824599 | + | 0.996594i | \(0.473722\pi\) |
−0.995773 | + | 0.0918496i | \(0.970722\pi\) | |||||||
\(812\) | −0.773600 | + | 2.12545i | −0.0271480 | + | 0.0745886i | ||||
\(813\) | −37.7131 | − | 26.1963i | −1.32266 | − | 0.918744i | ||||
\(814\) | 2.59637 | − | 2.17861i | 0.0910026 | − | 0.0763602i | ||||
\(815\) | 31.7008 | + | 0.825523i | 1.11043 | + | 0.0289168i | ||||
\(816\) | 4.26153 | + | 6.03767i | 0.149183 | + | 0.211361i | ||||
\(817\) | 0.893977 | + | 0.742652i | 0.0312763 | + | 0.0259821i | ||||
\(818\) | −9.74847 | −0.340847 | ||||||||
\(819\) | −4.47009 | + | 26.5151i | −0.156198 | + | 0.926512i | ||||
\(820\) | −15.7404 | + | 8.54930i | −0.549680 | + | 0.298555i | ||||
\(821\) | −0.837425 | − | 2.30081i | −0.0292263 | − | 0.0802987i | 0.924221 | − | 0.381857i | \(-0.124715\pi\) |
−0.953448 | + | 0.301558i | \(0.902493\pi\) | |||||||
\(822\) | −32.1027 | + | 8.73134i | −1.11971 | + | 0.304541i | ||||
\(823\) | 20.9121 | − | 24.9221i | 0.728951 | − | 0.868730i | −0.266517 | − | 0.963830i | \(-0.585873\pi\) |
0.995468 | + | 0.0951006i | \(0.0303173\pi\) | |||||||
\(824\) | 7.71039 | + | 4.45159i | 0.268604 | + | 0.155079i | ||||
\(825\) | −34.1527 | − | 37.6230i | −1.18904 | − | 1.30987i | ||||
\(826\) | 5.54397 | − | 31.4414i | 0.192899 | − | 1.09399i | ||||
\(827\) | −43.8897 | − | 7.73894i | −1.52620 | − | 0.269109i | −0.653331 | − | 0.757072i | \(-0.726629\pi\) |
−0.872864 | + | 0.487963i | \(0.837740\pi\) | |||||||
\(828\) | −24.6293 | + | 4.53396i | −0.855927 | + | 0.157566i | ||||
\(829\) | 6.38872 | + | 3.68853i | 0.221889 | + | 0.128108i | 0.606825 | − | 0.794836i | \(-0.292443\pi\) |
−0.384935 | + | 0.922944i | \(0.625776\pi\) | |||||||
\(830\) | −6.36455 | + | 5.06410i | −0.220917 | + | 0.175777i | ||||
\(831\) | 1.00672 | − | 0.273809i | 0.0349226 | − | 0.00949831i | ||||
\(832\) | −3.00301 | + | 1.09301i | −0.104111 | + | 0.0378932i | ||||
\(833\) | −2.83166 | + | 2.37604i | −0.0981111 | + | 0.0823250i | ||||
\(834\) | −1.98569 | − | 1.97082i | −0.0687590 | − | 0.0682441i | ||||
\(835\) | 4.22590 | − | 20.7864i | 0.146243 | − | 0.719342i | ||||
\(836\) | −12.8966 | − | 22.0853i | −0.446038 | − | 0.763835i | ||||
\(837\) | −0.530275 | − | 1.89336i | −0.0183290 | − | 0.0654441i | ||||
\(838\) | 3.28219 | + | 18.6142i | 0.113381 | + | 0.643017i | ||||
\(839\) | 9.19197 | − | 7.71298i | 0.317342 | − | 0.266282i | −0.470177 | − | 0.882572i | \(-0.655810\pi\) |
0.787519 | + | 0.616291i | \(0.211365\pi\) | |||||||
\(840\) | −7.50799 | − | 7.85018i | −0.259050 | − | 0.270857i | ||||
\(841\) | 26.6399 | + | 9.69615i | 0.918619 | + | 0.334350i | ||||
\(842\) | 25.2737 | + | 21.2072i | 0.870991 | + | 0.730848i | ||||
\(843\) | 15.9467 | − | 1.45556i | 0.549232 | − | 0.0501323i | ||||
\(844\) | −8.73559 | + | 5.04350i | −0.300692 | + | 0.173604i | ||||
\(845\) | −2.28340 | + | 5.79920i | −0.0785512 | + | 0.199498i | ||||
\(846\) | −13.0560 | + | 23.0114i | −0.448874 | + | 0.791148i | ||||
\(847\) | −56.8988 | + | 32.8505i | −1.95507 | + | 1.12876i | ||||
\(848\) | 3.54082 | + | 2.04429i | 0.121592 | + | 0.0702013i | ||||
\(849\) | −9.50774 | − | 0.795823i | −0.326305 | − | 0.0273126i | ||||
\(850\) | 14.5449 | − | 15.6065i | 0.498886 | − | 0.535300i | ||||
\(851\) | −4.53134 | + | 1.64927i | −0.155332 | + | 0.0565363i | ||||
\(852\) | −21.0125 | − | 5.54572i | −0.719876 | − | 0.189993i | ||||
\(853\) | −8.58918 | + | 1.51450i | −0.294088 | + | 0.0518556i | −0.318746 | − | 0.947840i | \(-0.603262\pi\) |
0.0246576 | + | 0.999696i | \(0.492150\pi\) | |||||||
\(854\) | −16.5986 | −0.567993 | ||||||||
\(855\) | 28.8625 | − | 4.68586i | 0.987076 | − | 0.160253i | ||||
\(856\) | −2.79970 | −0.0956917 | ||||||||
\(857\) | 23.0739 | − | 4.06855i | 0.788189 | − | 0.138979i | 0.234957 | − | 0.972006i | \(-0.424505\pi\) |
0.553233 | + | 0.833027i | \(0.313394\pi\) | |||||||
\(858\) | −31.4013 | − | 8.28760i | −1.07202 | − | 0.282934i | ||||
\(859\) | 26.0132 | − | 9.46803i | 0.887559 | − | 0.323045i | 0.142303 | − | 0.989823i | \(-0.454549\pi\) |
0.745256 | + | 0.666778i | \(0.232327\pi\) | |||||||
\(860\) | −0.311440 | + | 0.508389i | −0.0106200 | + | 0.0173359i | ||||
\(861\) | −38.7792 | − | 3.24592i | −1.32159 | − | 0.110621i | ||||
\(862\) | 1.35832 | + | 0.784229i | 0.0462647 | + | 0.0267109i | ||||
\(863\) | 27.0699 | − | 15.6288i | 0.921470 | − | 0.532011i | 0.0373662 | − | 0.999302i | \(-0.488103\pi\) |
0.884104 | + | 0.467291i | \(0.154770\pi\) | |||||||
\(864\) | −5.17094 | + | 0.511209i | −0.175919 | + | 0.0173917i | ||||
\(865\) | 3.11399 | + | 1.22611i | 0.105879 | + | 0.0416890i | ||||
\(866\) | 32.9602 | − | 19.0296i | 1.12003 | − | 0.646652i | ||||
\(867\) | −2.07798 | + | 0.189672i | −0.0705718 | + | 0.00644159i | ||||
\(868\) | 0.812999 | + | 0.682187i | 0.0275950 | + | 0.0231549i | ||||
\(869\) | −1.28600 | − | 0.468065i | −0.0436245 | − | 0.0158780i | ||||
\(870\) | 2.25721 | − | 2.15881i | 0.0765264 | − | 0.0731906i | ||||
\(871\) | −0.771588 | + | 0.647440i | −0.0261443 | + | 0.0219377i | ||||
\(872\) | −2.25015 | − | 12.7612i | −0.0761995 | − | 0.432149i | ||||
\(873\) | −12.6847 | + | 35.6832i | −0.429312 | + | 1.20769i | ||||
\(874\) | 6.49519 | + | 35.8024i | 0.219703 | + | 1.21104i | ||||
\(875\) | −17.7499 | + | 25.8503i | −0.600055 | + | 0.873898i | ||||
\(876\) | −1.77889 | − | 1.76557i | −0.0601032 | − | 0.0596531i | ||||
\(877\) | −2.06607 | + | 1.73364i | −0.0697661 | + | 0.0585408i | −0.677004 | − | 0.735979i | \(-0.736722\pi\) |
0.607238 | + | 0.794520i | \(0.292278\pi\) | |||||||
\(878\) | −23.1588 | + | 8.42910i | −0.781570 | + | 0.284468i | ||||
\(879\) | 20.9280 | − | 5.69202i | 0.705883 | − | 0.191987i | ||||
\(880\) | 10.2664 | − | 8.16869i | 0.346080 | − | 0.275367i | ||||
\(881\) | 4.01643 | + | 2.31889i | 0.135317 | + | 0.0781254i | 0.566130 | − | 0.824316i | \(-0.308440\pi\) |
−0.430813 | + | 0.902441i | \(0.641773\pi\) | |||||||
\(882\) | −0.470549 | − | 2.55611i | −0.0158442 | − | 0.0860687i | ||||
\(883\) | 45.7386 | + | 8.06495i | 1.53923 | + | 0.271407i | 0.877957 | − | 0.478740i | \(-0.158906\pi\) |
0.661271 | + | 0.750147i | \(0.270017\pi\) | |||||||
\(884\) | 2.36773 | − | 13.4281i | 0.0796355 | − | 0.451635i | ||||
\(885\) | −26.0854 | + | 35.5416i | −0.876850 | + | 1.19472i | ||||
\(886\) | 23.5169 | + | 13.5775i | 0.790066 | + | 0.456145i | ||||
\(887\) | −24.6246 | + | 29.3464i | −0.826812 | + | 0.985357i | 0.173187 | + | 0.984889i | \(0.444593\pi\) |
−1.00000 | 0.000467769i | \(0.999851\pi\) | ||||||||
\(888\) | −0.965465 | + | 0.262589i | −0.0323989 | + | 0.00881190i | ||||
\(889\) | −11.9626 | − | 32.8670i | −0.401213 | − | 1.10232i | ||||
\(890\) | −15.7810 | − | 29.0549i | −0.528979 | − | 0.973922i | ||||
\(891\) | −46.1229 | − | 25.7124i | −1.54518 | − | 0.861399i | ||||
\(892\) | 20.2831 | 0.679129 | ||||||||
\(893\) | 33.3856 | + | 19.0563i | 1.11721 | + | 0.637694i | ||||
\(894\) | −18.8546 | − | 26.7129i | −0.630593 | − | 0.893414i | ||||
\(895\) | 0.700789 | − | 26.9108i | 0.0234248 | − | 0.899530i | ||||
\(896\) | 2.14853 | − | 1.80283i | 0.0717772 | − | 0.0602282i | ||||
\(897\) | 37.9491 | + | 26.3603i | 1.26708 | + | 0.880144i | ||||
\(898\) | 2.84610 | − | 7.81959i | 0.0949755 | − | 0.260943i | ||||
\(899\) | −0.196153 | + | 0.233766i | −0.00654207 | + | 0.00779653i | ||||
\(900\) | 4.49742 | + | 14.3099i | 0.149914 | + | 0.476997i | ||||
\(901\) | −15.1076 | + | 8.72238i | −0.503307 | + | 0.290584i | ||||
\(902\) | 8.16162 | − | 46.2868i | 0.271752 | − | 1.54118i | ||||
\(903\) | −1.17183 | + | 0.551806i | −0.0389961 | + | 0.0183629i | ||||
\(904\) | 4.65403 | + | 8.06102i | 0.154791 | + | 0.268106i | ||||
\(905\) | −21.8124 | − | 19.2924i | −0.725069 | − | 0.641300i | ||||
\(906\) | −0.296534 | + | 3.54270i | −0.00985167 | + | 0.117698i | ||||
\(907\) | −40.9197 | − | 14.8935i | −1.35872 | − | 0.494532i | −0.443059 | − | 0.896493i | \(-0.646107\pi\) |
−0.915657 | + | 0.401961i | \(0.868329\pi\) | |||||||
\(908\) | 9.29078 | + | 25.5262i | 0.308325 | + | 0.847117i | ||||
\(909\) | −26.9636 | + | 10.0441i | −0.894325 | + | 0.333142i | ||||
\(910\) | −0.521741 | + | 20.0353i | −0.0172956 | + | 0.664163i | ||||
\(911\) | 31.7331 | 1.05137 | 0.525683 | − | 0.850681i | \(-0.323810\pi\) | ||||
0.525683 | + | 0.850681i | \(0.323810\pi\) | |||||||
\(912\) | 0.723352 | + | 7.51510i | 0.0239526 | + | 0.248850i | ||||
\(913\) | − | 21.3416i | − | 0.706305i | ||||||
\(914\) | 3.53301 | + | 20.0367i | 0.116862 | + | 0.662755i | ||||
\(915\) | 20.5524 | + | 10.1471i | 0.679442 | + | 0.335452i | ||||
\(916\) | −0.802009 | + | 0.291907i | −0.0264991 | + | 0.00964489i | ||||
\(917\) | 15.9621 | + | 5.80974i | 0.527116 | + | 0.191855i | ||||
\(918\) | 9.14247 | − | 20.1976i | 0.301747 | − | 0.666620i | ||||
\(919\) | 11.1214 | − | 19.2628i | 0.366861 | − | 0.635423i | −0.622212 | − | 0.782849i | \(-0.713766\pi\) |
0.989073 | + | 0.147426i | \(0.0470990\pi\) | |||||||
\(920\) | −17.7006 | + | 5.92539i | −0.583572 | + | 0.195354i | ||||
\(921\) | −24.3950 | + | 11.4874i | −0.803843 | + | 0.378523i | ||||
\(922\) | 1.87236 | − | 10.6187i | 0.0616628 | − | 0.349707i | ||||
\(923\) | 20.0484 | + | 34.7248i | 0.659901 | + | 1.14298i | ||||
\(924\) | 28.3847 | − | 2.59088i | 0.933789 | − | 0.0852336i | ||||
\(925\) | 1.31201 | + | 2.57312i | 0.0431385 | + | 0.0846036i | ||||
\(926\) | 35.2706 | + | 12.8375i | 1.15906 | + | 0.421865i | ||||
\(927\) | −0.200769 | − | 26.7088i | −0.00659413 | − | 0.877232i | ||||
\(928\) | 0.518377 | + | 0.617777i | 0.0170166 | + | 0.0202795i | ||||
\(929\) | −30.0418 | + | 5.29719i | −0.985641 | + | 0.173795i | −0.643162 | − | 0.765730i | \(-0.722378\pi\) |
−0.342479 | + | 0.939525i | \(0.611267\pi\) | |||||||
\(930\) | −0.589620 | − | 1.34169i | −0.0193344 | − | 0.0439957i | ||||
\(931\) | −3.71570 | + | 0.674092i | −0.121777 | + | 0.0220925i | ||||
\(932\) | −10.8021 | −0.353833 | ||||||||
\(933\) | 28.6491 | + | 28.4345i | 0.937928 | + | 0.930904i | ||||
\(934\) | −16.5743 | − | 19.7525i | −0.542327 | − | 0.646321i | ||||
\(935\) | 8.28206 | + | 55.3617i | 0.270852 | + | 1.81052i | ||||
\(936\) | 7.39034 | + | 6.10716i | 0.241561 | + | 0.199619i | ||||
\(937\) | 24.4549 | − | 29.1442i | 0.798907 | − | 0.952101i | −0.200713 | − | 0.979650i | \(-0.564326\pi\) |
0.999620 | + | 0.0275495i | \(0.00877039\pi\) | |||||||
\(938\) | 0.441995 | − | 0.765558i | 0.0144317 | − | 0.0249964i | ||||
\(939\) | 2.22719 | + | 1.02838i | 0.0726815 | + | 0.0335599i | ||||
\(940\) | −7.22476 | + | 18.3489i | −0.235646 | + | 0.598475i | ||||
\(941\) | −9.74496 | + | 55.2664i | −0.317677 | + | 1.80163i | 0.239125 | + | 0.970989i | \(0.423139\pi\) |
−0.556802 | + | 0.830645i | \(0.687972\pi\) | |||||||
\(942\) | 2.13476 | − | 4.62330i | 0.0695544 | − | 0.150635i | ||||
\(943\) | −33.4353 | + | 57.9116i | −1.08880 | + | 1.88586i | ||||
\(944\) | −8.72002 | − | 7.31697i | −0.283813 | − | 0.238147i | ||||
\(945\) | −8.89798 | + | 31.3494i | −0.289451 | + | 1.01980i | ||||
\(946\) | −0.535054 | − | 1.47005i | −0.0173961 | − | 0.0477954i | ||||
\(947\) | −29.3545 | + | 24.6313i | −0.953891 | + | 0.800410i | −0.979949 | − | 0.199250i | \(-0.936149\pi\) |
0.0260571 | + | 0.999660i | \(0.491705\pi\) | |||||||
\(948\) | 0.286739 | + | 0.284592i | 0.00931286 | + | 0.00924312i | ||||
\(949\) | 4.62433i | 0.150112i | ||||||||
\(950\) | 20.8086 | − | 6.48084i | 0.675121 | − | 0.210266i | ||||
\(951\) | 24.8371 | − | 17.5306i | 0.805398 | − | 0.568469i | ||||
\(952\) | 2.07802 | + | 11.7850i | 0.0673489 | + | 0.381954i | ||||
\(953\) | −25.0402 | − | 29.8418i | −0.811133 | − | 0.966670i | 0.188749 | − | 0.982025i | \(-0.439557\pi\) |
−0.999882 | + | 0.0153550i | \(0.995112\pi\) | |||||||
\(954\) | −0.0921987 | − | 12.2654i | −0.00298504 | − | 0.397107i | ||||
\(955\) | 26.6012 | − | 43.4234i | 0.860796 | − | 1.40515i | ||||
\(956\) | −13.2747 | + | 15.8201i | −0.429334 | + | 0.511660i | ||||
\(957\) | 0.744969 | + | 8.16161i | 0.0240814 | + | 0.263828i | ||||
\(958\) | −2.10690 | − | 3.64926i | −0.0680709 | − | 0.117902i | ||||
\(959\) | −53.0537 | − | 9.35481i | −1.71319 | − | 0.302082i | ||||
\(960\) | −3.76241 | + | 0.918822i | −0.121431 | + | 0.0296549i | ||||
\(961\) | −15.4284 | − | 26.7228i | −0.497691 | − | 0.862025i | ||||
\(962\) | 1.59873 | + | 0.923026i | 0.0515450 | + | 0.0297595i | ||||
\(963\) | 4.25410 | + | 7.24206i | 0.137087 | + | 0.233372i | ||||
\(964\) | 0.490968 | − | 1.34892i | 0.0158130 | − | 0.0434459i | ||||
\(965\) | 46.4564 | − | 6.94983i | 1.49549 | − | 0.223723i | ||||
\(966\) | −39.2096 | − | 10.3484i | −1.26155 | − | 0.332954i | ||||
\(967\) | −5.09325 | + | 0.898077i | −0.163788 | + | 0.0288802i | −0.254941 | − | 0.966957i | \(-0.582056\pi\) |
0.0911528 | + | 0.995837i | \(0.470945\pi\) | |||||||
\(968\) | 23.4253i | 0.752918i | ||||||||
\(969\) | −29.3120 | − | 13.3595i | −0.941636 | − | 0.429169i | ||||
\(970\) | −5.62360 | + | 27.6614i | −0.180563 | + | 0.888153i | ||||
\(971\) | 6.52849 | + | 37.0249i | 0.209509 | + | 1.18819i | 0.890184 | + | 0.455601i | \(0.150576\pi\) |
−0.680675 | + | 0.732586i | \(0.738313\pi\) | |||||||
\(972\) | 9.17954 | + | 12.5990i | 0.294434 | + | 0.404115i | ||||
\(973\) | −1.54946 | − | 4.25709i | −0.0496733 | − | 0.136476i | ||||
\(974\) | −9.94530 | + | 27.3245i | −0.318668 | + | 0.875533i | ||||
\(975\) | 12.8940 | − | 24.4887i | 0.412939 | − | 0.784267i | ||||
\(976\) | −2.95907 | + | 5.12526i | −0.0947175 | + | 0.164055i | ||||
\(977\) | 3.61366 | − | 2.08635i | 0.115611 | − | 0.0667482i | −0.441079 | − | 0.897468i | \(-0.645404\pi\) |
0.556691 | + | 0.830720i | \(0.312071\pi\) | |||||||
\(978\) | 22.2230 | − | 10.4646i | 0.710614 | − | 0.334622i | ||||
\(979\) | 85.4398 | + | 15.0653i | 2.73067 | + | 0.481490i | ||||
\(980\) | −0.614956 | − | 1.83703i | −0.0196441 | − | 0.0586817i | ||||
\(981\) | −29.5907 | + | 25.2110i | −0.944758 | + | 0.804925i | ||||
\(982\) | 29.8538 | + | 25.0503i | 0.952673 | + | 0.799387i | ||||
\(983\) | −3.62177 | + | 9.95074i | −0.115517 | + | 0.317379i | −0.983955 | − | 0.178418i | \(-0.942902\pi\) |
0.868438 | + | 0.495798i | \(0.165124\pi\) | |||||||
\(984\) | −7.91550 | + | 11.3954i | −0.252337 | + | 0.363273i | ||||
\(985\) | 13.4412 | − | 7.30047i | 0.428271 | − | 0.232612i | ||||
\(986\) | −3.38861 | + | 0.597503i | −0.107915 | + | 0.0190284i | ||||
\(987\) | −35.0015 | + | 24.7049i | −1.11411 | + | 0.786366i | ||||
\(988\) | 8.90121 | − | 10.7149i | 0.283185 | − | 0.340888i | ||||
\(989\) | 2.22574i | 0.0707745i | ||||||||
\(990\) | −36.7298 | − | 14.1442i | −1.16735 | − | 0.449531i | ||||
\(991\) | −32.4916 | − | 38.7220i | −1.03213 | − | 1.23005i | −0.972761 | − | 0.231810i | \(-0.925535\pi\) |
−0.0593702 | − | 0.998236i | \(-0.518909\pi\) | |||||||
\(992\) | 0.355578 | − | 0.129420i | 0.0112896 | − | 0.00410908i | ||||
\(993\) | 2.85353 | − | 0.776107i | 0.0905540 | − | 0.0246290i | ||||
\(994\) | −26.9575 | − | 22.6200i | −0.855040 | − | 0.717464i | ||||
\(995\) | −11.0899 | + | 12.5385i | −0.351573 | + | 0.397497i | ||||
\(996\) | −2.64107 | + | 5.71982i | −0.0836855 | + | 0.181239i | ||||
\(997\) | −16.6998 | − | 2.94463i | −0.528889 | − | 0.0932573i | −0.0971737 | − | 0.995267i | \(-0.530980\pi\) |
−0.431715 | + | 0.902010i | \(0.642091\pi\) | |||||||
\(998\) | 12.3541 | + | 2.17836i | 0.391063 | + | 0.0689549i | ||||
\(999\) | 2.14626 | + | 2.09840i | 0.0679046 | + | 0.0663903i |
(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 | 570.2.bf.a.29.20 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.29.30 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.29.21 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.29.11 | ✓ | 240 | |
19.2 | odd | 18 | inner | 570.2.bf.a.59.11 | yes | 240 | |
57.2 | even | 18 | inner | 570.2.bf.a.59.21 | yes | 240 | |
95.59 | odd | 18 | inner | 570.2.bf.a.59.30 | yes | 240 | |
285.59 | even | 18 | inner | 570.2.bf.a.59.20 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.11 | ✓ | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.29.20 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.29.21 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.29.30 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.59.11 | yes | 240 | 19.2 | odd | 18 | inner | |
570.2.bf.a.59.20 | yes | 240 | 285.59 | even | 18 | inner | |
570.2.bf.a.59.21 | yes | 240 | 57.2 | even | 18 | inner | |
570.2.bf.a.59.30 | yes | 240 | 95.59 | odd | 18 | inner |