Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 301.1 | ||
Root | \(0.142315 - 0.989821i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.301 |
Dual form | 690.2.m.b.541.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.841254 | − | 0.540641i | −0.594856 | − | 0.382291i | ||||
\(3\) | −0.142315 | − | 0.989821i | −0.0821655 | − | 0.571474i | ||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | −0.959493 | − | 0.281733i | −0.429098 | − | 0.125995i | ||||
\(6\) | −0.415415 | + | 0.909632i | −0.169592 | + | 0.371356i | ||||
\(7\) | −0.730471 | + | 0.843008i | −0.276092 | + | 0.318627i | −0.876813 | − | 0.480832i | \(-0.840335\pi\) |
0.600721 | + | 0.799459i | \(0.294880\pi\) | |||||||
\(8\) | 0.142315 | − | 0.989821i | 0.0503159 | − | 0.349955i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 0.654861 | + | 0.755750i | 0.207085 | + | 0.238989i | ||||
\(11\) | −1.85380 | + | 1.19136i | −0.558942 | + | 0.359210i | −0.789407 | − | 0.613871i | \(-0.789612\pi\) |
0.230465 | + | 0.973081i | \(0.425975\pi\) | |||||||
\(12\) | 0.841254 | − | 0.540641i | 0.242849 | − | 0.156070i | ||||
\(13\) | 2.38000 | + | 2.74666i | 0.660092 | + | 0.761787i | 0.982792 | − | 0.184714i | \(-0.0591359\pi\) |
−0.322700 | + | 0.946501i | \(0.604590\pi\) | |||||||
\(14\) | 1.07028 | − | 0.314261i | 0.286043 | − | 0.0839899i | ||||
\(15\) | −0.142315 | + | 0.989821i | −0.0367455 | + | 0.255571i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | 0.952036 | − | 2.08467i | 0.230903 | − | 0.505606i | −0.758345 | − | 0.651853i | \(-0.773992\pi\) |
0.989248 | + | 0.146246i | \(0.0467192\pi\) | |||||||
\(18\) | 0.959493 | + | 0.281733i | 0.226155 | + | 0.0664050i | ||||
\(19\) | 1.49611 | + | 3.27603i | 0.343232 | + | 0.751574i | 0.999997 | − | 0.00252202i | \(-0.000802785\pi\) |
−0.656765 | + | 0.754096i | \(0.728076\pi\) | |||||||
\(20\) | −0.142315 | − | 0.989821i | −0.0318226 | − | 0.221331i | ||||
\(21\) | 0.938384 | + | 0.603063i | 0.204772 | + | 0.131599i | ||||
\(22\) | 2.20362 | 0.469812 | ||||||||
\(23\) | 4.43274 | + | 1.83053i | 0.924289 | + | 0.381693i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | −0.517223 | − | 3.59736i | −0.101436 | − | 0.705501i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −1.07028 | − | 0.314261i | −0.202263 | − | 0.0593898i | ||||
\(29\) | −0.780557 | + | 1.70918i | −0.144946 | + | 0.317387i | −0.968155 | − | 0.250351i | \(-0.919454\pi\) |
0.823209 | + | 0.567738i | \(0.192181\pi\) | |||||||
\(30\) | 0.654861 | − | 0.755750i | 0.119561 | − | 0.137980i | ||||
\(31\) | −0.420002 | + | 2.92118i | −0.0754346 | + | 0.524659i | 0.916709 | + | 0.399556i | \(0.130836\pi\) |
−0.992144 | + | 0.125104i | \(0.960074\pi\) | |||||||
\(32\) | 0.959493 | − | 0.281733i | 0.169616 | − | 0.0498038i | ||||
\(33\) | 1.44306 | + | 1.66538i | 0.251205 | + | 0.289906i | ||||
\(34\) | −1.92796 | + | 1.23903i | −0.330643 | + | 0.212491i | ||||
\(35\) | 0.938384 | − | 0.603063i | 0.158616 | − | 0.101936i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | 6.83816 | − | 2.00786i | 1.12419 | − | 0.330091i | 0.333766 | − | 0.942656i | \(-0.391680\pi\) |
0.790420 | + | 0.612565i | \(0.209862\pi\) | |||||||
\(38\) | 0.512546 | − | 3.56484i | 0.0831459 | − | 0.578293i | ||||
\(39\) | 2.38000 | − | 2.74666i | 0.381105 | − | 0.439818i | ||||
\(40\) | −0.415415 | + | 0.909632i | −0.0656829 | + | 0.143825i | ||||
\(41\) | −2.96876 | − | 0.871706i | −0.463642 | − | 0.136138i | 0.0415650 | − | 0.999136i | \(-0.486766\pi\) |
−0.505207 | + | 0.862998i | \(0.668584\pi\) | |||||||
\(42\) | −0.463379 | − | 1.01466i | −0.0715009 | − | 0.156565i | ||||
\(43\) | 0.768423 | + | 5.34450i | 0.117183 | + | 0.815029i | 0.960633 | + | 0.277820i | \(0.0896120\pi\) |
−0.843450 | + | 0.537208i | \(0.819479\pi\) | |||||||
\(44\) | −1.85380 | − | 1.19136i | −0.279471 | − | 0.179605i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −2.73939 | − | 3.93646i | −0.403901 | − | 0.580400i | ||||
\(47\) | 4.78426 | 0.697856 | 0.348928 | − | 0.937149i | \(-0.386546\pi\) | ||||
0.348928 | + | 0.937149i | \(0.386546\pi\) | |||||||
\(48\) | 0.841254 | + | 0.540641i | 0.121424 | + | 0.0780348i | ||||
\(49\) | 0.819129 | + | 5.69716i | 0.117018 | + | 0.813881i | ||||
\(50\) | −0.415415 | − | 0.909632i | −0.0587486 | − | 0.128641i | ||||
\(51\) | −2.19894 | − | 0.645667i | −0.307913 | − | 0.0904114i | ||||
\(52\) | −1.50977 | + | 3.30593i | −0.209367 | + | 0.458450i | ||||
\(53\) | 2.36079 | − | 2.72449i | 0.324279 | − | 0.374238i | −0.570079 | − | 0.821590i | \(-0.693087\pi\) |
0.894358 | + | 0.447352i | \(0.147633\pi\) | |||||||
\(54\) | 0.142315 | − | 0.989821i | 0.0193666 | − | 0.134698i | ||||
\(55\) | 2.11435 | − | 0.620830i | 0.285099 | − | 0.0837127i | ||||
\(56\) | 0.730471 | + | 0.843008i | 0.0976133 | + | 0.112652i | ||||
\(57\) | 3.02977 | − | 1.94711i | 0.401303 | − | 0.257902i | ||||
\(58\) | 1.58070 | − | 1.01585i | 0.207556 | − | 0.133388i | ||||
\(59\) | 4.27190 | + | 4.93004i | 0.556154 | + | 0.641836i | 0.962306 | − | 0.271969i | \(-0.0876749\pi\) |
−0.406152 | + | 0.913806i | \(0.633129\pi\) | |||||||
\(60\) | −0.959493 | + | 0.281733i | −0.123870 | + | 0.0363715i | ||||
\(61\) | 0.549535 | − | 3.82210i | 0.0703608 | − | 0.489370i | −0.923921 | − | 0.382583i | \(-0.875035\pi\) |
0.994282 | − | 0.106787i | \(-0.0340563\pi\) | |||||||
\(62\) | 1.93264 | − | 2.23038i | 0.245445 | − | 0.283259i | ||||
\(63\) | 0.463379 | − | 1.01466i | 0.0583802 | − | 0.127835i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −1.50977 | − | 3.30593i | −0.187263 | − | 0.410050i | ||||
\(66\) | −0.313607 | − | 2.18119i | −0.0386024 | − | 0.268485i | ||||
\(67\) | 5.00718 | + | 3.21792i | 0.611724 | + | 0.393131i | 0.809503 | − | 0.587115i | \(-0.199737\pi\) |
−0.197779 | + | 0.980247i | \(0.563373\pi\) | |||||||
\(68\) | 2.29177 | 0.277918 | ||||||||
\(69\) | 1.18106 | − | 4.64813i | 0.142183 | − | 0.559569i | ||||
\(70\) | −1.11546 | −0.133323 | ||||||||
\(71\) | −10.6422 | − | 6.83930i | −1.26299 | − | 0.811676i | −0.274301 | − | 0.961644i | \(-0.588447\pi\) |
−0.988691 | + | 0.149968i | \(0.952083\pi\) | |||||||
\(72\) | 0.142315 | + | 0.989821i | 0.0167720 | + | 0.116652i | ||||
\(73\) | −0.228365 | − | 0.500049i | −0.0267281 | − | 0.0585263i | 0.895797 | − | 0.444463i | \(-0.146606\pi\) |
−0.922525 | + | 0.385937i | \(0.873878\pi\) | |||||||
\(74\) | −6.83816 | − | 2.00786i | −0.794920 | − | 0.233410i | ||||
\(75\) | 0.415415 | − | 0.909632i | 0.0479680 | − | 0.105035i | ||||
\(76\) | −2.35848 | + | 2.72183i | −0.270536 | + | 0.312215i | ||||
\(77\) | 0.349816 | − | 2.43303i | 0.0398653 | − | 0.277269i | ||||
\(78\) | −3.48714 | + | 1.02392i | −0.394841 | + | 0.115936i | ||||
\(79\) | 7.38072 | + | 8.51780i | 0.830396 | + | 0.958328i | 0.999629 | − | 0.0272483i | \(-0.00867448\pi\) |
−0.169233 | + | 0.985576i | \(0.554129\pi\) | |||||||
\(80\) | 0.841254 | − | 0.540641i | 0.0940550 | − | 0.0604455i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 2.02620 | + | 2.33836i | 0.223756 | + | 0.258228i | ||||
\(83\) | 14.7497 | − | 4.33089i | 1.61899 | − | 0.475377i | 0.658240 | − | 0.752808i | \(-0.271301\pi\) |
0.960746 | + | 0.277431i | \(0.0894829\pi\) | |||||||
\(84\) | −0.158746 | + | 1.10411i | −0.0173207 | + | 0.120468i | ||||
\(85\) | −1.50079 | + | 1.73201i | −0.162784 | + | 0.187862i | ||||
\(86\) | 2.24302 | − | 4.91152i | 0.241871 | − | 0.529623i | ||||
\(87\) | 1.80287 | + | 0.529370i | 0.193288 | + | 0.0567544i | ||||
\(88\) | 0.915415 | + | 2.00448i | 0.0975836 | + | 0.213678i | ||||
\(89\) | 0.241156 | + | 1.67728i | 0.0255625 | + | 0.177791i | 0.998603 | − | 0.0528443i | \(-0.0168287\pi\) |
−0.973040 | + | 0.230635i | \(0.925920\pi\) | |||||||
\(90\) | −0.841254 | − | 0.540641i | −0.0886759 | − | 0.0569885i | ||||
\(91\) | −4.05398 | −0.424972 | ||||||||
\(92\) | 0.176312 | + | 4.79259i | 0.0183818 | + | 0.499662i | ||||
\(93\) | 2.95122 | 0.306027 | ||||||||
\(94\) | −4.02478 | − | 2.58657i | −0.415124 | − | 0.266784i | ||||
\(95\) | −0.512546 | − | 3.56484i | −0.0525861 | − | 0.365744i | ||||
\(96\) | −0.415415 | − | 0.909632i | −0.0423981 | − | 0.0928389i | ||||
\(97\) | −1.17742 | − | 0.345721i | −0.119549 | − | 0.0351027i | 0.221411 | − | 0.975181i | \(-0.428934\pi\) |
−0.340960 | + | 0.940078i | \(0.610752\pi\) | |||||||
\(98\) | 2.39102 | − | 5.23561i | 0.241530 | − | 0.528877i | ||||
\(99\) | 1.44306 | − | 1.66538i | 0.145033 | − | 0.167377i | ||||
\(100\) | −0.142315 | + | 0.989821i | −0.0142315 | + | 0.0989821i | ||||
\(101\) | −5.78093 | + | 1.69743i | −0.575224 | + | 0.168901i | −0.556390 | − | 0.830922i | \(-0.687814\pi\) |
−0.0188346 | + | 0.999823i | \(0.505996\pi\) | |||||||
\(102\) | 1.50079 | + | 1.73201i | 0.148600 | + | 0.171494i | ||||
\(103\) | −4.80065 | + | 3.08519i | −0.473022 | + | 0.303993i | −0.755346 | − | 0.655326i | \(-0.772531\pi\) |
0.282324 | + | 0.959319i | \(0.408895\pi\) | |||||||
\(104\) | 3.05742 | − | 1.96488i | 0.299804 | − | 0.192672i | ||||
\(105\) | −0.730471 | − | 0.843008i | −0.0712866 | − | 0.0822692i | ||||
\(106\) | −3.45899 | + | 1.01565i | −0.335967 | + | 0.0986488i | ||||
\(107\) | −1.10543 | + | 7.68845i | −0.106866 | + | 0.743270i | 0.863973 | + | 0.503538i | \(0.167969\pi\) |
−0.970839 | + | 0.239732i | \(0.922940\pi\) | |||||||
\(108\) | −0.654861 | + | 0.755750i | −0.0630140 | + | 0.0727220i | ||||
\(109\) | −0.810485 | + | 1.77471i | −0.0776304 | + | 0.169987i | −0.944468 | − | 0.328604i | \(-0.893422\pi\) |
0.866837 | + | 0.498591i | \(0.166149\pi\) | |||||||
\(110\) | −2.11435 | − | 0.620830i | −0.201596 | − | 0.0591938i | ||||
\(111\) | −2.96060 | − | 6.48281i | −0.281008 | − | 0.615321i | ||||
\(112\) | −0.158746 | − | 1.10411i | −0.0150001 | − | 0.104328i | ||||
\(113\) | 1.76108 | + | 1.13178i | 0.165669 | + | 0.106469i | 0.620848 | − | 0.783931i | \(-0.286788\pi\) |
−0.455179 | + | 0.890400i | \(0.650425\pi\) | |||||||
\(114\) | −3.60149 | −0.337311 | ||||||||
\(115\) | −3.73746 | − | 3.00523i | −0.348520 | − | 0.280239i | ||||
\(116\) | −1.87898 | −0.174459 | ||||||||
\(117\) | −3.05742 | − | 1.96488i | −0.282658 | − | 0.181653i | ||||
\(118\) | −0.928373 | − | 6.45698i | −0.0854637 | − | 0.594413i | ||||
\(119\) | 1.06196 | + | 2.32536i | 0.0973495 | + | 0.213166i | ||||
\(120\) | 0.959493 | + | 0.281733i | 0.0875893 | + | 0.0257185i | ||||
\(121\) | −2.55234 | + | 5.58885i | −0.232031 | + | 0.508077i | ||||
\(122\) | −2.52868 | + | 2.91826i | −0.228936 | + | 0.264206i | ||||
\(123\) | −0.440335 | + | 3.06260i | −0.0397037 | + | 0.276145i | ||||
\(124\) | −2.83167 | + | 0.831455i | −0.254292 | + | 0.0746668i | ||||
\(125\) | −0.654861 | − | 0.755750i | −0.0585725 | − | 0.0675963i | ||||
\(126\) | −0.938384 | + | 0.603063i | −0.0835979 | + | 0.0537251i | ||||
\(127\) | −8.39633 | + | 5.39599i | −0.745054 | + | 0.478817i | −0.857270 | − | 0.514867i | \(-0.827841\pi\) |
0.112216 | + | 0.993684i | \(0.464205\pi\) | |||||||
\(128\) | 0.654861 | + | 0.755750i | 0.0578821 | + | 0.0667995i | ||||
\(129\) | 5.18074 | − | 1.52120i | 0.456139 | − | 0.133935i | ||||
\(130\) | −0.517223 | + | 3.59736i | −0.0453634 | + | 0.315510i | ||||
\(131\) | −12.7268 | + | 14.6875i | −1.11194 | + | 1.28325i | −0.156631 | + | 0.987657i | \(0.550063\pi\) |
−0.955313 | + | 0.295595i | \(0.904482\pi\) | |||||||
\(132\) | −0.915415 | + | 2.00448i | −0.0796766 | + | 0.174468i | ||||
\(133\) | −3.85459 | − | 1.13181i | −0.334235 | − | 0.0981404i | ||||
\(134\) | −2.47257 | − | 5.41417i | −0.213597 | − | 0.467713i | ||||
\(135\) | −0.142315 | − | 0.989821i | −0.0122485 | − | 0.0851903i | ||||
\(136\) | −1.92796 | − | 1.23903i | −0.165321 | − | 0.106246i | ||||
\(137\) | −4.64926 | −0.397213 | −0.198607 | − | 0.980079i | \(-0.563642\pi\) | ||||
−0.198607 | + | 0.980079i | \(0.563642\pi\) | |||||||
\(138\) | −3.50654 | + | 3.27173i | −0.298496 | + | 0.278508i | ||||
\(139\) | 0.144422 | 0.0122497 | 0.00612486 | − | 0.999981i | \(-0.498050\pi\) | ||||
0.00612486 | + | 0.999981i | \(0.498050\pi\) | |||||||
\(140\) | 0.938384 | + | 0.603063i | 0.0793080 | + | 0.0509681i | ||||
\(141\) | −0.680871 | − | 4.73556i | −0.0573397 | − | 0.398806i | ||||
\(142\) | 5.25515 | + | 11.5072i | 0.441002 | + | 0.965661i | ||||
\(143\) | −7.68431 | − | 2.25632i | −0.642595 | − | 0.188683i | ||||
\(144\) | 0.415415 | − | 0.909632i | 0.0346179 | − | 0.0758027i | ||||
\(145\) | 1.23047 | − | 1.42004i | 0.102185 | − | 0.117928i | ||||
\(146\) | −0.0782343 | + | 0.544132i | −0.00647472 | + | 0.0450327i | ||||
\(147\) | 5.52260 | − | 1.62158i | 0.455496 | − | 0.133746i | ||||
\(148\) | 4.66709 | + | 5.38611i | 0.383633 | + | 0.442736i | ||||
\(149\) | 5.87457 | − | 3.77535i | 0.481263 | − | 0.309289i | −0.277420 | − | 0.960749i | \(-0.589479\pi\) |
0.758683 | + | 0.651460i | \(0.225843\pi\) | |||||||
\(150\) | −0.841254 | + | 0.540641i | −0.0686881 | + | 0.0441431i | ||||
\(151\) | −2.61580 | − | 3.01880i | −0.212871 | − | 0.245666i | 0.639265 | − | 0.768986i | \(-0.279239\pi\) |
−0.852136 | + | 0.523320i | \(0.824693\pi\) | |||||||
\(152\) | 3.45561 | − | 1.01466i | 0.280287 | − | 0.0822996i | ||||
\(153\) | −0.326153 | + | 2.26844i | −0.0263679 | + | 0.183393i | ||||
\(154\) | −1.60968 | + | 1.85767i | −0.129711 | + | 0.149695i | ||||
\(155\) | 1.22598 | − | 2.68452i | 0.0984732 | − | 0.215626i | ||||
\(156\) | 3.48714 | + | 1.02392i | 0.279195 | + | 0.0819789i | ||||
\(157\) | −3.91721 | − | 8.57748i | −0.312627 | − | 0.684558i | 0.686465 | − | 0.727163i | \(-0.259162\pi\) |
−0.999092 | + | 0.0426051i | \(0.986434\pi\) | |||||||
\(158\) | −1.60398 | − | 11.1559i | −0.127606 | − | 0.887520i | ||||
\(159\) | −3.03274 | − | 1.94902i | −0.240512 | − | 0.154567i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −4.78114 | + | 2.39968i | −0.376807 | + | 0.189121i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −4.16417 | − | 2.67615i | −0.326163 | − | 0.209612i | 0.367304 | − | 0.930101i | \(-0.380281\pi\) |
−0.693466 | + | 0.720489i | \(0.743917\pi\) | |||||||
\(164\) | −0.440335 | − | 3.06260i | −0.0343844 | − | 0.239149i | ||||
\(165\) | −0.915415 | − | 2.00448i | −0.0712650 | − | 0.156049i | ||||
\(166\) | −14.7497 | − | 4.33089i | −1.14480 | − | 0.336142i | ||||
\(167\) | −2.83929 | + | 6.21717i | −0.219711 | + | 0.481099i | −0.987105 | − | 0.160077i | \(-0.948826\pi\) |
0.767394 | + | 0.641176i | \(0.221553\pi\) | |||||||
\(168\) | 0.730471 | − | 0.843008i | 0.0563570 | − | 0.0650395i | ||||
\(169\) | −0.0296791 | + | 0.206423i | −0.00228301 | + | 0.0158787i | ||||
\(170\) | 2.19894 | − | 0.645667i | 0.168651 | − | 0.0495204i | ||||
\(171\) | −2.35848 | − | 2.72183i | −0.180357 | − | 0.208143i | ||||
\(172\) | −4.54231 | + | 2.91917i | −0.346348 | + | 0.222584i | ||||
\(173\) | −18.8592 | + | 12.1200i | −1.43384 | + | 0.921470i | −0.434047 | + | 0.900890i | \(0.642915\pi\) |
−0.999788 | + | 0.0205800i | \(0.993449\pi\) | |||||||
\(174\) | −1.23047 | − | 1.42004i | −0.0932817 | − | 0.107653i | ||||
\(175\) | −1.07028 | + | 0.314261i | −0.0809052 | + | 0.0237559i | ||||
\(176\) | 0.313607 | − | 2.18119i | 0.0236390 | − | 0.164413i | ||||
\(177\) | 4.27190 | − | 4.93004i | 0.321096 | − | 0.370564i | ||||
\(178\) | 0.703930 | − | 1.54139i | 0.0527618 | − | 0.115532i | ||||
\(179\) | 7.82597 | + | 2.29791i | 0.584941 | + | 0.171754i | 0.560795 | − | 0.827954i | \(-0.310495\pi\) |
0.0241452 | + | 0.999708i | \(0.492314\pi\) | |||||||
\(180\) | 0.415415 | + | 0.909632i | 0.0309632 | + | 0.0678000i | ||||
\(181\) | −2.90313 | − | 20.1917i | −0.215788 | − | 1.50084i | −0.753353 | − | 0.657616i | \(-0.771565\pi\) |
0.537565 | − | 0.843222i | \(-0.319344\pi\) | |||||||
\(182\) | 3.41042 | + | 2.19175i | 0.252797 | + | 0.162463i | ||||
\(183\) | −3.86141 | −0.285443 | ||||||||
\(184\) | 2.44275 | − | 4.12710i | 0.180082 | − | 0.304254i | ||||
\(185\) | −7.12685 | −0.523976 | ||||||||
\(186\) | −2.48272 | − | 1.59555i | −0.182042 | − | 0.116991i | ||||
\(187\) | 0.718716 | + | 4.99878i | 0.0525577 | + | 0.365547i | ||||
\(188\) | 1.98745 | + | 4.35192i | 0.144950 | + | 0.317396i | ||||
\(189\) | −1.07028 | − | 0.314261i | −0.0778511 | − | 0.0228591i | ||||
\(190\) | −1.49611 | + | 3.27603i | −0.108540 | + | 0.237668i | ||||
\(191\) | −14.0940 | + | 16.2654i | −1.01981 | + | 1.17692i | −0.0356963 | + | 0.999363i | \(0.511365\pi\) |
−0.984110 | + | 0.177557i | \(0.943181\pi\) | |||||||
\(192\) | −0.142315 | + | 0.989821i | −0.0102707 | + | 0.0714342i | ||||
\(193\) | 7.23634 | − | 2.12478i | 0.520883 | − | 0.152945i | −0.0107136 | − | 0.999943i | \(-0.503410\pi\) |
0.531597 | + | 0.846997i | \(0.321592\pi\) | |||||||
\(194\) | 0.803596 | + | 0.927399i | 0.0576948 | + | 0.0665834i | ||||
\(195\) | −3.05742 | + | 1.96488i | −0.218946 | + | 0.140708i | ||||
\(196\) | −4.84204 | + | 3.11179i | −0.345860 | + | 0.222271i | ||||
\(197\) | −12.6510 | − | 14.6001i | −0.901349 | − | 1.04021i | −0.998987 | − | 0.0449906i | \(-0.985674\pi\) |
0.0976381 | − | 0.995222i | \(-0.468871\pi\) | |||||||
\(198\) | −2.11435 | + | 0.620830i | −0.150261 | + | 0.0441205i | ||||
\(199\) | −2.80378 | + | 19.5007i | −0.198755 | + | 1.38237i | 0.609149 | + | 0.793056i | \(0.291511\pi\) |
−0.807904 | + | 0.589315i | \(0.799398\pi\) | |||||||
\(200\) | 0.654861 | − | 0.755750i | 0.0463056 | − | 0.0534396i | ||||
\(201\) | 2.47257 | − | 5.41417i | 0.174402 | − | 0.381886i | ||||
\(202\) | 5.78093 | + | 1.69743i | 0.406745 | + | 0.119431i | ||||
\(203\) | −0.870680 | − | 1.90652i | −0.0611097 | − | 0.133812i | ||||
\(204\) | −0.326153 | − | 2.26844i | −0.0228353 | − | 0.158823i | ||||
\(205\) | 2.60291 | + | 1.67279i | 0.181795 | + | 0.116833i | ||||
\(206\) | 5.70654 | 0.397593 | ||||||||
\(207\) | −4.76890 | − | 0.507539i | −0.331461 | − | 0.0352764i | ||||
\(208\) | −3.63436 | −0.251997 | ||||||||
\(209\) | −6.67645 | − | 4.29069i | −0.461819 | − | 0.296793i | ||||
\(210\) | 0.158746 | + | 1.10411i | 0.0109545 | + | 0.0761905i | ||||
\(211\) | −11.4631 | − | 25.1007i | −0.789151 | − | 1.72800i | −0.679064 | − | 0.734079i | \(-0.737614\pi\) |
−0.110087 | − | 0.993922i | \(-0.535113\pi\) | |||||||
\(212\) | 3.45899 | + | 1.01565i | 0.237564 | + | 0.0697552i | ||||
\(213\) | −5.25515 | + | 11.5072i | −0.360077 | + | 0.788459i | ||||
\(214\) | 5.08664 | − | 5.87029i | 0.347715 | − | 0.401285i | ||||
\(215\) | 0.768423 | − | 5.34450i | 0.0524060 | − | 0.364492i | ||||
\(216\) | 0.959493 | − | 0.281733i | 0.0652852 | − | 0.0191695i | ||||
\(217\) | −2.15578 | − | 2.48790i | −0.146344 | − | 0.168890i | ||||
\(218\) | 1.64131 | − | 1.05480i | 0.111163 | − | 0.0714403i | ||||
\(219\) | −0.462460 | + | 0.297205i | −0.0312501 | + | 0.0200832i | ||||
\(220\) | 1.44306 | + | 1.66538i | 0.0972912 | + | 0.112280i | ||||
\(221\) | 7.99173 | − | 2.34658i | 0.537582 | − | 0.157848i | ||||
\(222\) | −1.01426 | + | 7.05431i | −0.0680724 | + | 0.473454i | ||||
\(223\) | −3.40958 | + | 3.93487i | −0.228323 | + | 0.263498i | −0.858338 | − | 0.513084i | \(-0.828503\pi\) |
0.630016 | + | 0.776582i | \(0.283048\pi\) | |||||||
\(224\) | −0.463379 | + | 1.01466i | −0.0309608 | + | 0.0677947i | ||||
\(225\) | −0.959493 | − | 0.281733i | −0.0639662 | − | 0.0187822i | ||||
\(226\) | −0.869632 | − | 1.90423i | −0.0578470 | − | 0.126667i | ||||
\(227\) | 1.60108 | + | 11.1358i | 0.106267 | + | 0.739106i | 0.971380 | + | 0.237529i | \(0.0763376\pi\) |
−0.865113 | + | 0.501577i | \(0.832753\pi\) | |||||||
\(228\) | 3.02977 | + | 1.94711i | 0.200651 | + | 0.128951i | ||||
\(229\) | 17.0688 | 1.12794 | 0.563970 | − | 0.825795i | \(-0.309273\pi\) | ||||
0.563970 | + | 0.825795i | \(0.309273\pi\) | |||||||
\(230\) | 1.51940 | + | 4.54878i | 0.100186 | + | 0.299938i | ||||
\(231\) | −2.45804 | −0.161727 | ||||||||
\(232\) | 1.58070 | + | 1.01585i | 0.103778 | + | 0.0666941i | ||||
\(233\) | −2.39724 | − | 16.6732i | −0.157049 | − | 1.09230i | −0.904035 | − | 0.427458i | \(-0.859409\pi\) |
0.746987 | − | 0.664839i | \(-0.231500\pi\) | |||||||
\(234\) | 1.50977 | + | 3.30593i | 0.0986965 | + | 0.216115i | ||||
\(235\) | −4.59047 | − | 1.34788i | −0.299449 | − | 0.0879261i | ||||
\(236\) | −2.70991 | + | 5.93387i | −0.176400 | + | 0.386262i | ||||
\(237\) | 7.38072 | − | 8.51780i | 0.479429 | − | 0.553291i | ||||
\(238\) | 0.363811 | − | 2.53036i | 0.0235823 | − | 0.164019i | ||||
\(239\) | 1.15559 | − | 0.339311i | 0.0747488 | − | 0.0219482i | −0.244144 | − | 0.969739i | \(-0.578507\pi\) |
0.318893 | + | 0.947791i | \(0.396689\pi\) | |||||||
\(240\) | −0.654861 | − | 0.755750i | −0.0422711 | − | 0.0487834i | ||||
\(241\) | 5.19970 | − | 3.34165i | 0.334942 | − | 0.215254i | −0.362349 | − | 0.932043i | \(-0.618025\pi\) |
0.697291 | + | 0.716788i | \(0.254389\pi\) | |||||||
\(242\) | 5.16873 | − | 3.32174i | 0.332258 | − | 0.213529i | ||||
\(243\) | −0.654861 | − | 0.755750i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | 3.70499 | − | 1.08788i | 0.237188 | − | 0.0696446i | ||||
\(245\) | 0.819129 | − | 5.69716i | 0.0523322 | − | 0.363978i | ||||
\(246\) | 2.02620 | − | 2.33836i | 0.129186 | − | 0.149088i | ||||
\(247\) | −5.43741 | + | 11.9063i | −0.345974 | + | 0.757578i | ||||
\(248\) | 2.83167 | + | 0.831455i | 0.179812 | + | 0.0527974i | ||||
\(249\) | −6.38591 | − | 13.9832i | −0.404690 | − | 0.886148i | ||||
\(250\) | 0.142315 | + | 0.989821i | 0.00900078 | + | 0.0626018i | ||||
\(251\) | 15.1070 | + | 9.70870i | 0.953548 | + | 0.612808i | 0.922205 | − | 0.386701i | \(-0.126385\pi\) |
0.0313426 | + | 0.999509i | \(0.490022\pi\) | |||||||
\(252\) | 1.11546 | 0.0702674 | ||||||||
\(253\) | −10.3982 | + | 1.88756i | −0.653732 | + | 0.118670i | ||||
\(254\) | 9.98074 | 0.626247 | ||||||||
\(255\) | 1.92796 | + | 1.23903i | 0.120734 | + | 0.0775908i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 0.674734 | + | 1.47746i | 0.0420888 | + | 0.0921615i | 0.929508 | − | 0.368801i | \(-0.120232\pi\) |
−0.887420 | + | 0.460962i | \(0.847504\pi\) | |||||||
\(258\) | −5.18074 | − | 1.52120i | −0.322539 | − | 0.0947060i | ||||
\(259\) | −3.30243 | + | 7.23131i | −0.205203 | + | 0.449332i | ||||
\(260\) | 2.38000 | − | 2.74666i | 0.147601 | − | 0.170341i | ||||
\(261\) | 0.267407 | − | 1.85986i | 0.0165521 | − | 0.115122i | ||||
\(262\) | 18.6471 | − | 5.47528i | 1.15202 | − | 0.338264i | ||||
\(263\) | 14.8194 | + | 17.1025i | 0.913802 | + | 1.05458i | 0.998307 | + | 0.0581609i | \(0.0185237\pi\) |
−0.0845050 | + | 0.996423i | \(0.526931\pi\) | |||||||
\(264\) | 1.85380 | − | 1.19136i | 0.114093 | − | 0.0733234i | ||||
\(265\) | −3.03274 | + | 1.94902i | −0.186299 | + | 0.119727i | ||||
\(266\) | 2.63079 | + | 3.03609i | 0.161304 | + | 0.186155i | ||||
\(267\) | 1.62588 | − | 0.477402i | 0.0995024 | − | 0.0292166i | ||||
\(268\) | −0.847064 | + | 5.89146i | −0.0517427 | + | 0.359878i | ||||
\(269\) | 3.26009 | − | 3.76235i | 0.198771 | − | 0.229394i | −0.647610 | − | 0.761972i | \(-0.724231\pi\) |
0.846381 | + | 0.532578i | \(0.178777\pi\) | |||||||
\(270\) | −0.415415 | + | 0.909632i | −0.0252814 | + | 0.0553584i | ||||
\(271\) | −4.27401 | − | 1.25496i | −0.259627 | − | 0.0762335i | 0.149328 | − | 0.988788i | \(-0.452289\pi\) |
−0.408956 | + | 0.912554i | \(0.634107\pi\) | |||||||
\(272\) | 0.952036 | + | 2.08467i | 0.0577257 | + | 0.126402i | ||||
\(273\) | 0.576941 | + | 4.01271i | 0.0349181 | + | 0.242861i | ||||
\(274\) | 3.91121 | + | 2.51358i | 0.236285 | + | 0.151851i | ||||
\(275\) | −2.20362 | −0.132883 | ||||||||
\(276\) | 4.71872 | − | 0.856574i | 0.284033 | − | 0.0515597i | ||||
\(277\) | 21.8537 | 1.31306 | 0.656530 | − | 0.754300i | \(-0.272024\pi\) | ||||
0.656530 | + | 0.754300i | \(0.272024\pi\) | |||||||
\(278\) | −0.121496 | − | 0.0780805i | −0.00728682 | − | 0.00468296i | ||||
\(279\) | −0.420002 | − | 2.92118i | −0.0251449 | − | 0.174886i | ||||
\(280\) | −0.463379 | − | 1.01466i | −0.0276922 | − | 0.0606374i | ||||
\(281\) | −2.42666 | − | 0.712532i | −0.144762 | − | 0.0425061i | 0.208549 | − | 0.978012i | \(-0.433126\pi\) |
−0.353311 | + | 0.935506i | \(0.614944\pi\) | |||||||
\(282\) | −1.98745 | + | 4.35192i | −0.118351 | + | 0.259153i | ||||
\(283\) | 5.89028 | − | 6.79775i | 0.350141 | − | 0.404084i | −0.553171 | − | 0.833067i | \(-0.686583\pi\) |
0.903312 | + | 0.428983i | \(0.141128\pi\) | |||||||
\(284\) | 1.80033 | − | 12.5216i | 0.106830 | − | 0.743020i | ||||
\(285\) | −3.45561 | + | 1.01466i | −0.204693 | + | 0.0601031i | ||||
\(286\) | 5.24460 | + | 6.05259i | 0.310120 | + | 0.357897i | ||||
\(287\) | 2.90345 | − | 1.86593i | 0.171385 | − | 0.110142i | ||||
\(288\) | −0.841254 | + | 0.540641i | −0.0495713 | + | 0.0318576i | ||||
\(289\) | 7.69316 | + | 8.87838i | 0.452539 | + | 0.522258i | ||||
\(290\) | −1.80287 | + | 0.529370i | −0.105868 | + | 0.0310857i | ||||
\(291\) | −0.174638 | + | 1.21463i | −0.0102375 | + | 0.0712031i | ||||
\(292\) | 0.359995 | − | 0.415456i | 0.0210671 | − | 0.0243127i | ||||
\(293\) | 11.3741 | − | 24.9058i | 0.664482 | − | 1.45501i | −0.213805 | − | 0.976876i | \(-0.568586\pi\) |
0.878286 | − | 0.478135i | \(-0.158687\pi\) | |||||||
\(294\) | −5.52260 | − | 1.62158i | −0.322085 | − | 0.0945726i | ||||
\(295\) | −2.70991 | − | 5.93387i | −0.157777 | − | 0.345483i | ||||
\(296\) | −1.01426 | − | 7.05431i | −0.0589524 | − | 0.410023i | ||||
\(297\) | −1.85380 | − | 1.19136i | −0.107568 | − | 0.0691300i | ||||
\(298\) | −6.98311 | −0.404521 | ||||||||
\(299\) | 5.52204 | + | 16.5319i | 0.319348 | + | 0.956064i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | −5.06677 | − | 3.25621i | −0.292044 | − | 0.187685i | ||||
\(302\) | 0.568468 | + | 3.95378i | 0.0327117 | + | 0.227515i | ||||
\(303\) | 2.50287 | + | 5.48052i | 0.143786 | + | 0.314848i | ||||
\(304\) | −3.45561 | − | 1.01466i | −0.198193 | − | 0.0581946i | ||||
\(305\) | −1.60409 | + | 3.51246i | −0.0918497 | + | 0.201123i | ||||
\(306\) | 1.50079 | − | 1.73201i | 0.0857945 | − | 0.0990122i | ||||
\(307\) | 3.58430 | − | 24.9293i | 0.204567 | − | 1.42279i | −0.585948 | − | 0.810349i | \(-0.699278\pi\) |
0.790515 | − | 0.612443i | \(-0.209813\pi\) | |||||||
\(308\) | 2.35848 | − | 0.692511i | 0.134387 | − | 0.0394595i | ||||
\(309\) | 3.73699 | + | 4.31271i | 0.212590 | + | 0.245342i | ||||
\(310\) | −2.48272 | + | 1.59555i | −0.141009 | + | 0.0906211i | ||||
\(311\) | −9.78441 | + | 6.28806i | −0.554823 | + | 0.356563i | −0.787811 | − | 0.615917i | \(-0.788786\pi\) |
0.232989 | + | 0.972479i | \(0.425149\pi\) | |||||||
\(312\) | −2.38000 | − | 2.74666i | −0.134741 | − | 0.155499i | ||||
\(313\) | 19.8646 | − | 5.83278i | 1.12281 | − | 0.329688i | 0.332935 | − | 0.942950i | \(-0.391961\pi\) |
0.789880 | + | 0.613262i | \(0.210143\pi\) | |||||||
\(314\) | −1.34197 | + | 9.33364i | −0.0757320 | + | 0.526728i | ||||
\(315\) | −0.730471 | + | 0.843008i | −0.0411574 | + | 0.0474981i | ||||
\(316\) | −4.68201 | + | 10.2522i | −0.263383 | + | 0.576729i | ||||
\(317\) | 17.1086 | + | 5.02355i | 0.960917 | + | 0.282151i | 0.724325 | − | 0.689458i | \(-0.242151\pi\) |
0.236592 | + | 0.971609i | \(0.423970\pi\) | |||||||
\(318\) | 1.49758 | + | 3.27924i | 0.0839801 | + | 0.183891i | ||||
\(319\) | −0.589262 | − | 4.09841i | −0.0329923 | − | 0.229467i | ||||
\(320\) | 0.841254 | + | 0.540641i | 0.0470275 | + | 0.0302227i | ||||
\(321\) | 7.76751 | 0.433540 | ||||||||
\(322\) | 5.31952 | + | 0.566140i | 0.296445 | + | 0.0315497i | ||||
\(323\) | 8.25380 | 0.459254 | ||||||||
\(324\) | 0.841254 | + | 0.540641i | 0.0467363 | + | 0.0300356i | ||||
\(325\) | 0.517223 | + | 3.59736i | 0.0286904 | + | 0.199546i | ||||
\(326\) | 2.05629 | + | 4.50264i | 0.113887 | + | 0.249378i | ||||
\(327\) | 1.87199 | + | 0.549667i | 0.103522 | + | 0.0303967i | ||||
\(328\) | −1.28533 | + | 2.81448i | −0.0709705 | + | 0.155404i | ||||
\(329\) | −3.49476 | + | 4.03317i | −0.192673 | + | 0.222356i | ||||
\(330\) | −0.313607 | + | 2.18119i | −0.0172635 | + | 0.120070i | ||||
\(331\) | 28.2850 | − | 8.30522i | 1.55468 | − | 0.456496i | 0.612187 | − | 0.790713i | \(-0.290290\pi\) |
0.942496 | + | 0.334217i | \(0.108472\pi\) | |||||||
\(332\) | 10.0667 | + | 11.6176i | 0.552485 | + | 0.637601i | ||||
\(333\) | −5.99548 | + | 3.85306i | −0.328551 | + | 0.211147i | ||||
\(334\) | 5.74982 | − | 3.69518i | 0.314616 | − | 0.202191i | ||||
\(335\) | −3.89776 | − | 4.49825i | −0.212957 | − | 0.245766i | ||||
\(336\) | −1.07028 | + | 0.314261i | −0.0583883 | + | 0.0171444i | ||||
\(337\) | −0.744306 | + | 5.17676i | −0.0405449 | + | 0.281996i | 0.959455 | + | 0.281862i | \(0.0909519\pi\) |
−1.00000 | 0.000134515i | \(0.999957\pi\) | ||||||||
\(338\) | 0.136568 | − | 0.157608i | 0.00742833 | − | 0.00857275i | ||||
\(339\) | 0.869632 | − | 1.90423i | 0.0472319 | − | 0.103423i | ||||
\(340\) | −2.19894 | − | 0.645667i | −0.119254 | − | 0.0350162i | ||||
\(341\) | −2.70159 | − | 5.91566i | −0.146299 | − | 0.320351i | ||||
\(342\) | 0.512546 | + | 3.56484i | 0.0277153 | + | 0.192764i | ||||
\(343\) | −11.9698 | − | 7.69252i | −0.646308 | − | 0.415357i | ||||
\(344\) | 5.39946 | 0.291119 | ||||||||
\(345\) | −2.44275 | + | 4.12710i | −0.131513 | + | 0.222196i | ||||
\(346\) | 22.4179 | 1.20520 | ||||||||
\(347\) | −7.15591 | − | 4.59882i | −0.384149 | − | 0.246878i | 0.334286 | − | 0.942472i | \(-0.391505\pi\) |
−0.718435 | + | 0.695594i | \(0.755141\pi\) | |||||||
\(348\) | 0.267407 | + | 1.85986i | 0.0143345 | + | 0.0996987i | ||||
\(349\) | −12.9383 | − | 28.3309i | −0.692570 | − | 1.51652i | −0.848753 | − | 0.528789i | \(-0.822646\pi\) |
0.156183 | − | 0.987728i | \(-0.450081\pi\) | |||||||
\(350\) | 1.07028 | + | 0.314261i | 0.0572086 | + | 0.0167980i | ||||
\(351\) | −1.50977 | + | 3.30593i | −0.0805854 | + | 0.176457i | ||||
\(352\) | −1.44306 | + | 1.66538i | −0.0769154 | + | 0.0887651i | ||||
\(353\) | −2.33246 | + | 16.2226i | −0.124144 | + | 0.863441i | 0.828638 | + | 0.559785i | \(0.189116\pi\) |
−0.952782 | + | 0.303656i | \(0.901793\pi\) | |||||||
\(354\) | −6.25913 | + | 1.83785i | −0.332669 | + | 0.0976805i | ||||
\(355\) | 8.28423 | + | 9.56051i | 0.439681 | + | 0.507419i | ||||
\(356\) | −1.42552 | + | 0.916128i | −0.0755526 | + | 0.0485547i | ||||
\(357\) | 2.15056 | − | 1.38208i | 0.113820 | − | 0.0731476i | ||||
\(358\) | −5.34128 | − | 6.16417i | −0.282295 | − | 0.325786i | ||||
\(359\) | 9.25262 | − | 2.71682i | 0.488335 | − | 0.143388i | −0.0282903 | − | 0.999600i | \(-0.509006\pi\) |
0.516625 | + | 0.856212i | \(0.327188\pi\) | |||||||
\(360\) | 0.142315 | − | 0.989821i | 0.00750065 | − | 0.0521682i | ||||
\(361\) | 3.94832 | − | 4.55660i | 0.207806 | − | 0.239821i | ||||
\(362\) | −8.47420 | + | 18.5559i | −0.445394 | + | 0.975277i | ||||
\(363\) | 5.89520 | + | 1.73099i | 0.309418 | + | 0.0908532i | ||||
\(364\) | −1.68408 | − | 3.68763i | −0.0882699 | − | 0.193284i | ||||
\(365\) | 0.0782343 | + | 0.544132i | 0.00409497 | + | 0.0284812i | ||||
\(366\) | 3.24842 | + | 2.08763i | 0.169798 | + | 0.109122i | ||||
\(367\) | −20.1785 | −1.05331 | −0.526654 | − | 0.850080i | \(-0.676554\pi\) | ||||
−0.526654 | + | 0.850080i | \(0.676554\pi\) | |||||||
\(368\) | −4.28625 | + | 2.15129i | −0.223436 | + | 0.112144i | ||||
\(369\) | 3.09409 | 0.161072 | ||||||||
\(370\) | 5.99548 | + | 3.85306i | 0.311690 | + | 0.200311i | ||||
\(371\) | 0.572284 | + | 3.98032i | 0.0297115 | + | 0.206648i | ||||
\(372\) | 1.22598 | + | 2.68452i | 0.0635642 | + | 0.139186i | ||||
\(373\) | −4.88027 | − | 1.43298i | −0.252691 | − | 0.0741967i | 0.152934 | − | 0.988236i | \(-0.451128\pi\) |
−0.405625 | + | 0.914040i | \(0.632946\pi\) | |||||||
\(374\) | 2.09792 | − | 4.59381i | 0.108481 | − | 0.237540i | ||||
\(375\) | −0.654861 | + | 0.755750i | −0.0338169 | + | 0.0390267i | ||||
\(376\) | 0.680871 | − | 4.73556i | 0.0351133 | − | 0.244218i | ||||
\(377\) | −6.55227 | + | 1.92392i | −0.337459 | + | 0.0990869i | ||||
\(378\) | 0.730471 | + | 0.843008i | 0.0375714 | + | 0.0433597i | ||||
\(379\) | 10.1298 | − | 6.51001i | 0.520331 | − | 0.334397i | −0.253972 | − | 0.967212i | \(-0.581737\pi\) |
0.774303 | + | 0.632815i | \(0.218101\pi\) | |||||||
\(380\) | 3.02977 | − | 1.94711i | 0.155424 | − | 0.0998848i | ||||
\(381\) | 6.53599 | + | 7.54294i | 0.334849 | + | 0.386436i | ||||
\(382\) | 20.6504 | − | 6.06349i | 1.05656 | − | 0.310235i | ||||
\(383\) | −0.446021 | + | 3.10214i | −0.0227906 | + | 0.158512i | −0.998039 | − | 0.0626018i | \(-0.980060\pi\) |
0.975248 | + | 0.221114i | \(0.0709693\pi\) | |||||||
\(384\) | 0.654861 | − | 0.755750i | 0.0334182 | − | 0.0385667i | ||||
\(385\) | −1.02111 | + | 2.23592i | −0.0520405 | + | 0.113953i | ||||
\(386\) | −7.23634 | − | 2.12478i | −0.368320 | − | 0.108149i | ||||
\(387\) | −2.24302 | − | 4.91152i | −0.114019 | − | 0.249667i | ||||
\(388\) | −0.174638 | − | 1.21463i | −0.00886591 | − | 0.0616637i | ||||
\(389\) | 6.22243 | + | 3.99891i | 0.315490 | + | 0.202753i | 0.688796 | − | 0.724955i | \(-0.258140\pi\) |
−0.373306 | + | 0.927708i | \(0.621776\pi\) | |||||||
\(390\) | 3.63436 | 0.184033 | ||||||||
\(391\) | 8.03618 | − | 7.49805i | 0.406407 | − | 0.379193i | ||||
\(392\) | 5.75575 | 0.290709 | ||||||||
\(393\) | 16.3492 | + | 10.5070i | 0.824708 | + | 0.530008i | ||||
\(394\) | 2.74933 | + | 19.1220i | 0.138509 | + | 0.963354i | ||||
\(395\) | −4.68201 | − | 10.2522i | −0.235577 | − | 0.515842i | ||||
\(396\) | 2.11435 | + | 0.620830i | 0.106250 | + | 0.0311979i | ||||
\(397\) | 2.30365 | − | 5.04429i | 0.115617 | − | 0.253166i | −0.842973 | − | 0.537956i | \(-0.819197\pi\) |
0.958590 | + | 0.284790i | \(0.0919239\pi\) | |||||||
\(398\) | 12.9016 | − | 14.8892i | 0.646698 | − | 0.746329i | ||||
\(399\) | −0.571724 | + | 3.97643i | −0.0286220 | + | 0.199070i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | 24.2646 | + | 28.0029i | 1.21172 | + | 1.39840i | 0.892703 | + | 0.450646i | \(0.148806\pi\) |
0.319014 | + | 0.947750i | \(0.396648\pi\) | |||||||
\(402\) | −5.00718 | + | 3.21792i | −0.249735 | + | 0.160495i | ||||
\(403\) | −9.02310 | + | 5.79880i | −0.449473 | + | 0.288859i | ||||
\(404\) | −3.94553 | − | 4.55338i | −0.196297 | − | 0.226539i | ||||
\(405\) | −0.959493 | + | 0.281733i | −0.0476776 | + | 0.0139994i | ||||
\(406\) | −0.298282 | + | 2.07459i | −0.0148035 | + | 0.102960i | ||||
\(407\) | −10.2845 | + | 11.8689i | −0.509783 | + | 0.588320i | ||||
\(408\) | −0.952036 | + | 2.08467i | −0.0471328 | + | 0.103206i | ||||
\(409\) | 21.5091 | + | 6.31565i | 1.06356 | + | 0.312289i | 0.766283 | − | 0.642503i | \(-0.222104\pi\) |
0.297275 | + | 0.954792i | \(0.403922\pi\) | |||||||
\(410\) | −1.28533 | − | 2.81448i | −0.0634780 | − | 0.138997i | ||||
\(411\) | 0.661659 | + | 4.60194i | 0.0326372 | + | 0.226997i | ||||
\(412\) | −4.80065 | − | 3.08519i | −0.236511 | − | 0.151996i | ||||
\(413\) | −7.27656 | −0.358056 | ||||||||
\(414\) | 3.73746 | + | 3.00523i | 0.183686 | + | 0.147699i | ||||
\(415\) | −15.3724 | −0.754599 | ||||||||
\(416\) | 3.05742 | + | 1.96488i | 0.149902 | + | 0.0963362i | ||||
\(417\) | −0.0205534 | − | 0.142952i | −0.00100650 | − | 0.00700039i | ||||
\(418\) | 3.29686 | + | 7.21912i | 0.161255 | + | 0.353099i | ||||
\(419\) | −6.56228 | − | 1.92686i | −0.320588 | − | 0.0941332i | 0.117479 | − | 0.993075i | \(-0.462519\pi\) |
−0.438067 | + | 0.898942i | \(0.644337\pi\) | |||||||
\(420\) | 0.463379 | − | 1.01466i | 0.0226106 | − | 0.0495102i | ||||
\(421\) | 16.1859 | − | 18.6795i | 0.788850 | − | 0.910382i | −0.208865 | − | 0.977945i | \(-0.566977\pi\) |
0.997715 | + | 0.0675627i | \(0.0215223\pi\) | |||||||
\(422\) | −3.92708 | + | 27.3134i | −0.191167 | + | 1.32960i | ||||
\(423\) | −4.59047 | + | 1.34788i | −0.223196 | + | 0.0655363i | ||||
\(424\) | −2.36079 | − | 2.72449i | −0.114650 | − | 0.132313i | ||||
\(425\) | 1.92796 | − | 1.23903i | 0.0935198 | − | 0.0601016i | ||||
\(426\) | 10.6422 | − | 6.83930i | 0.515614 | − | 0.331365i | ||||
\(427\) | 2.82064 | + | 3.25520i | 0.136501 | + | 0.157530i | ||||
\(428\) | −7.45287 | + | 2.18836i | −0.360248 | + | 0.105778i | ||||
\(429\) | −1.13976 | + | 7.92721i | −0.0550281 | + | 0.382729i | ||||
\(430\) | −3.53589 | + | 4.08064i | −0.170516 | + | 0.196786i | ||||
\(431\) | −7.17904 | + | 15.7199i | −0.345802 | + | 0.757202i | 0.654197 | + | 0.756324i | \(0.273007\pi\) |
−1.00000 | 0.000877660i | \(0.999721\pi\) | ||||||||
\(432\) | −0.959493 | − | 0.281733i | −0.0461636 | − | 0.0135549i | ||||
\(433\) | −2.92720 | − | 6.40967i | −0.140672 | − | 0.308029i | 0.826163 | − | 0.563432i | \(-0.190519\pi\) |
−0.966835 | + | 0.255403i | \(0.917792\pi\) | |||||||
\(434\) | 0.468496 | + | 3.25846i | 0.0224885 | + | 0.156411i | ||||
\(435\) | −1.58070 | − | 1.01585i | −0.0757887 | − | 0.0487065i | ||||
\(436\) | −1.95102 | −0.0934371 | ||||||||
\(437\) | 0.634986 | + | 17.2605i | 0.0303755 | + | 0.825681i | ||||
\(438\) | 0.549727 | 0.0262670 | ||||||||
\(439\) | −19.6429 | − | 12.6238i | −0.937507 | − | 0.602499i | −0.0198199 | − | 0.999804i | \(-0.506309\pi\) |
−0.917687 | + | 0.397305i | \(0.869946\pi\) | |||||||
\(440\) | −0.313607 | − | 2.18119i | −0.0149506 | − | 0.103984i | ||||
\(441\) | −2.39102 | − | 5.23561i | −0.113858 | − | 0.249315i | ||||
\(442\) | −7.99173 | − | 2.34658i | −0.380128 | − | 0.111616i | ||||
\(443\) | 3.91717 | − | 8.57740i | 0.186110 | − | 0.407525i | −0.793461 | − | 0.608621i | \(-0.791723\pi\) |
0.979572 | + | 0.201096i | \(0.0644504\pi\) | |||||||
\(444\) | 4.66709 | − | 5.38611i | 0.221490 | − | 0.255614i | ||||
\(445\) | 0.241156 | − | 1.67728i | 0.0114319 | − | 0.0795105i | ||||
\(446\) | 4.99567 | − | 1.46686i | 0.236552 | − | 0.0694579i | ||||
\(447\) | −4.57296 | − | 5.27748i | −0.216294 | − | 0.249616i | ||||
\(448\) | 0.938384 | − | 0.603063i | 0.0443345 | − | 0.0284921i | ||||
\(449\) | −20.5198 | + | 13.1872i | −0.968387 | + | 0.622345i | −0.926307 | − | 0.376770i | \(-0.877035\pi\) |
−0.0420802 | + | 0.999114i | \(0.513399\pi\) | |||||||
\(450\) | 0.654861 | + | 0.755750i | 0.0308704 | + | 0.0356264i | ||||
\(451\) | 6.54200 | − | 1.92090i | 0.308051 | − | 0.0904519i | ||||
\(452\) | −0.297923 | + | 2.07210i | −0.0140131 | + | 0.0974632i | ||||
\(453\) | −2.61580 | + | 3.01880i | −0.122901 | + | 0.141835i | ||||
\(454\) | 4.67353 | − | 10.2336i | 0.219340 | − | 0.480287i | ||||
\(455\) | 3.88976 | + | 1.14214i | 0.182355 | + | 0.0535442i | ||||
\(456\) | −1.49611 | − | 3.27603i | −0.0700620 | − | 0.153414i | ||||
\(457\) | −5.09006 | − | 35.4021i | −0.238103 | − | 1.65604i | −0.661387 | − | 0.750045i | \(-0.730032\pi\) |
0.423284 | − | 0.905997i | \(-0.360877\pi\) | |||||||
\(458\) | −14.3592 | − | 9.22811i | −0.670962 | − | 0.431201i | ||||
\(459\) | 2.29177 | 0.106971 | ||||||||
\(460\) | 1.18106 | − | 4.64813i | 0.0550671 | − | 0.216720i | ||||
\(461\) | −4.21318 | −0.196227 | −0.0981137 | − | 0.995175i | \(-0.531281\pi\) | ||||
−0.0981137 | + | 0.995175i | \(0.531281\pi\) | |||||||
\(462\) | 2.06784 | + | 1.32892i | 0.0962046 | + | 0.0618269i | ||||
\(463\) | 0.681390 | + | 4.73917i | 0.0316669 | + | 0.220248i | 0.999510 | − | 0.0313074i | \(-0.00996707\pi\) |
−0.967843 | + | 0.251555i | \(0.919058\pi\) | |||||||
\(464\) | −0.780557 | − | 1.70918i | −0.0362364 | − | 0.0793467i | ||||
\(465\) | −2.83167 | − | 0.831455i | −0.131316 | − | 0.0385578i | ||||
\(466\) | −6.99752 | + | 15.3224i | −0.324154 | + | 0.709798i | ||||
\(467\) | 13.8689 | − | 16.0056i | 0.641776 | − | 0.740649i | −0.337912 | − | 0.941178i | \(-0.609721\pi\) |
0.979688 | + | 0.200529i | \(0.0642660\pi\) | |||||||
\(468\) | 0.517223 | − | 3.59736i | 0.0239086 | − | 0.166288i | ||||
\(469\) | −6.37033 | + | 1.87050i | −0.294154 | + | 0.0863715i | ||||
\(470\) | 3.13303 | + | 3.61570i | 0.144516 | + | 0.166780i | ||||
\(471\) | −7.93270 | + | 5.09804i | −0.365520 | + | 0.234905i | ||||
\(472\) | 5.48781 | − | 3.52680i | 0.252597 | − | 0.162334i | ||||
\(473\) | −7.79175 | − | 8.99216i | −0.358265 | − | 0.413460i | ||||
\(474\) | −10.8141 | + | 3.17531i | −0.496709 | + | 0.145847i | ||||
\(475\) | −0.512546 | + | 3.56484i | −0.0235172 | + | 0.163566i | ||||
\(476\) | −1.67407 | + | 1.93198i | −0.0767310 | + | 0.0885523i | ||||
\(477\) | −1.49758 | + | 3.27924i | −0.0685694 | + | 0.150146i | ||||
\(478\) | −1.15559 | − | 0.339311i | −0.0528554 | − | 0.0155197i | ||||
\(479\) | 4.19212 | + | 9.17946i | 0.191543 | + | 0.419420i | 0.980900 | − | 0.194514i | \(-0.0623131\pi\) |
−0.789357 | + | 0.613935i | \(0.789586\pi\) | |||||||
\(480\) | 0.142315 | + | 0.989821i | 0.00649575 | + | 0.0451790i | ||||
\(481\) | 21.7897 | + | 14.0034i | 0.993526 | + | 0.638500i | ||||
\(482\) | −6.18090 | −0.281532 | ||||||||
\(483\) | 3.05568 | + | 4.39096i | 0.139038 | + | 0.199796i | ||||
\(484\) | −6.14408 | −0.279276 | ||||||||
\(485\) | 1.03232 | + | 0.663434i | 0.0468754 | + | 0.0301250i | ||||
\(486\) | 0.142315 | + | 0.989821i | 0.00645553 | + | 0.0448992i | ||||
\(487\) | −16.2741 | − | 35.6353i | −0.737451 | − | 1.61479i | −0.787703 | − | 0.616055i | \(-0.788730\pi\) |
0.0502527 | − | 0.998737i | \(-0.483997\pi\) | |||||||
\(488\) | −3.70499 | − | 1.08788i | −0.167717 | − | 0.0492462i | ||||
\(489\) | −2.05629 | + | 4.50264i | −0.0929885 | + | 0.203616i | ||||
\(490\) | −3.76921 | + | 4.34991i | −0.170276 | + | 0.196509i | ||||
\(491\) | −1.88980 | + | 13.1438i | −0.0852853 | + | 0.593172i | 0.901700 | + | 0.432362i | \(0.142320\pi\) |
−0.986985 | + | 0.160810i | \(0.948589\pi\) | |||||||
\(492\) | −2.96876 | + | 0.871706i | −0.133842 | + | 0.0392995i | ||||
\(493\) | 2.81996 | + | 3.25440i | 0.127005 | + | 0.146571i | ||||
\(494\) | 11.0113 | − | 7.07651i | 0.495420 | − | 0.318387i | ||||
\(495\) | −1.85380 | + | 1.19136i | −0.0833221 | + | 0.0535479i | ||||
\(496\) | −1.93264 | − | 2.23038i | −0.0867780 | − | 0.100147i | ||||
\(497\) | 13.5394 | − | 3.97552i | 0.607324 | − | 0.178326i | ||||
\(498\) | −2.18771 | + | 15.2159i | −0.0980338 | + | 0.681840i | ||||
\(499\) | −12.2833 | + | 14.1757i | −0.549876 | + | 0.634591i | −0.960854 | − | 0.277054i | \(-0.910642\pi\) |
0.410978 | + | 0.911645i | \(0.365187\pi\) | |||||||
\(500\) | 0.415415 | − | 0.909632i | 0.0185779 | − | 0.0406800i | ||||
\(501\) | 6.55796 | + | 1.92559i | 0.292988 | + | 0.0860291i | ||||
\(502\) | −7.45993 | − | 16.3350i | −0.332953 | − | 0.729065i | ||||
\(503\) | −5.17738 | − | 36.0094i | −0.230848 | − | 1.60558i | −0.694452 | − | 0.719539i | \(-0.744353\pi\) |
0.463604 | − | 0.886043i | \(-0.346556\pi\) | |||||||
\(504\) | −0.938384 | − | 0.603063i | −0.0417990 | − | 0.0268626i | ||||
\(505\) | 6.02499 | 0.268108 | ||||||||
\(506\) | 9.76804 | + | 4.03379i | 0.434243 | + | 0.179324i | ||||
\(507\) | 0.208546 | 0.00926183 | ||||||||
\(508\) | −8.39633 | − | 5.39599i | −0.372527 | − | 0.239408i | ||||
\(509\) | −3.28862 | − | 22.8729i | −0.145766 | − | 1.01382i | −0.923052 | − | 0.384675i | \(-0.874313\pi\) |
0.777286 | − | 0.629147i | \(-0.216596\pi\) | |||||||
\(510\) | −0.952036 | − | 2.08467i | −0.0421569 | − | 0.0923107i | ||||
\(511\) | 0.588360 | + | 0.172758i | 0.0260275 | + | 0.00764236i | ||||
\(512\) | −0.415415 | + | 0.909632i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | −2.35848 | + | 2.72183i | −0.104129 | + | 0.120172i | ||||
\(514\) | 0.231154 | − | 1.60771i | 0.0101957 | − | 0.0709130i | ||||
\(515\) | 5.47538 | − | 1.60772i | 0.241274 | − | 0.0708445i | ||||
\(516\) | 3.53589 | + | 4.08064i | 0.155659 | + | 0.179640i | ||||
\(517\) | −8.86906 | + | 5.69980i | −0.390061 | + | 0.250677i | ||||
\(518\) | 6.68772 | − | 4.29794i | 0.293842 | − | 0.188841i | ||||
\(519\) | 14.6806 | + | 16.9423i | 0.644408 | + | 0.743686i | ||||
\(520\) | −3.48714 | + | 1.02392i | −0.152921 | + | 0.0449017i | ||||
\(521\) | 3.40532 | − | 23.6845i | 0.149190 | − | 1.03764i | −0.768361 | − | 0.640017i | \(-0.778927\pi\) |
0.917550 | − | 0.397619i | \(-0.130164\pi\) | |||||||
\(522\) | −1.23047 | + | 1.42004i | −0.0538562 | + | 0.0621534i | ||||
\(523\) | 4.51033 | − | 9.87626i | 0.197223 | − | 0.431858i | −0.785020 | − | 0.619470i | \(-0.787347\pi\) |
0.982243 | + | 0.187612i | \(0.0600747\pi\) | |||||||
\(524\) | −18.6471 | − | 5.47528i | −0.814603 | − | 0.239189i | ||||
\(525\) | 0.463379 | + | 1.01466i | 0.0202235 | + | 0.0442833i | ||||
\(526\) | −3.22056 | − | 22.3995i | −0.140423 | − | 0.976664i | ||||
\(527\) | 5.68984 | + | 3.65664i | 0.247853 | + | 0.159286i | ||||
\(528\) | −2.20362 | −0.0959001 | ||||||||
\(529\) | 16.2983 | + | 16.2286i | 0.708621 | + | 0.705589i | ||||
\(530\) | 3.60502 | 0.156592 | ||||||||
\(531\) | −5.48781 | − | 3.52680i | −0.238151 | − | 0.153050i | ||||
\(532\) | −0.571724 | − | 3.97643i | −0.0247874 | − | 0.172400i | ||||
\(533\) | −4.67135 | − | 10.2288i | −0.202339 | − | 0.443060i | ||||
\(534\) | −1.62588 | − | 0.477402i | −0.0703588 | − | 0.0206592i | ||||
\(535\) | 3.22674 | − | 7.06558i | 0.139504 | − | 0.305471i | ||||
\(536\) | 3.89776 | − | 4.49825i | 0.168358 | − | 0.194295i | ||||
\(537\) | 1.16077 | − | 8.07334i | 0.0500910 | − | 0.348390i | ||||
\(538\) | −4.77664 | + | 1.40255i | −0.205936 | + | 0.0604682i | ||||
\(539\) | −8.30590 | − | 9.58552i | −0.357760 | − | 0.412878i | ||||
\(540\) | 0.841254 | − | 0.540641i | 0.0362018 | − | 0.0232655i | ||||
\(541\) | 25.7848 | − | 16.5709i | 1.10858 | − | 0.712439i | 0.147594 | − | 0.989048i | \(-0.452847\pi\) |
0.960983 | + | 0.276609i | \(0.0892106\pi\) | |||||||
\(542\) | 2.91704 | + | 3.36644i | 0.125298 | + | 0.144601i | ||||
\(543\) | −19.5730 | + | 5.74716i | −0.839959 | + | 0.246634i | ||||
\(544\) | 0.326153 | − | 2.26844i | 0.0139837 | − | 0.0972588i | ||||
\(545\) | 1.27765 | − | 1.47449i | 0.0547285 | − | 0.0631600i | ||||
\(546\) | 1.68408 | − | 3.68763i | 0.0720721 | − | 0.157816i | ||||
\(547\) | 39.8104 | + | 11.6894i | 1.70217 | + | 0.499803i | 0.981172 | − | 0.193134i | \(-0.0618652\pi\) |
0.720999 | + | 0.692936i | \(0.243683\pi\) | |||||||
\(548\) | −1.93137 | − | 4.22912i | −0.0825041 | − | 0.180659i | ||||
\(549\) | 0.549535 | + | 3.82210i | 0.0234536 | + | 0.163123i | ||||
\(550\) | 1.85380 | + | 1.19136i | 0.0790463 | + | 0.0508000i | ||||
\(551\) | −6.76714 | −0.288290 | ||||||||
\(552\) | −4.43274 | − | 1.83053i | −0.188670 | − | 0.0779127i | ||||
\(553\) | −12.5720 | −0.534615 | ||||||||
\(554\) | −18.3845 | − | 11.8150i | −0.781082 | − | 0.501971i | ||||
\(555\) | 1.01426 | + | 7.05431i | 0.0430528 | + | 0.299439i | ||||
\(556\) | 0.0599951 | + | 0.131371i | 0.00254436 | + | 0.00557137i | ||||
\(557\) | −27.0868 | − | 7.95339i | −1.14770 | − | 0.336996i | −0.348060 | − | 0.937472i | \(-0.613159\pi\) |
−0.799643 | + | 0.600476i | \(0.794978\pi\) | |||||||
\(558\) | −1.22598 | + | 2.68452i | −0.0518999 | + | 0.113645i | ||||
\(559\) | −12.8507 | + | 14.8305i | −0.543527 | + | 0.627263i | ||||
\(560\) | −0.158746 | + | 1.10411i | −0.00670826 | + | 0.0466570i | ||||
\(561\) | 4.84562 | − | 1.42280i | 0.204582 | − | 0.0600707i | ||||
\(562\) | 1.65621 | + | 1.91137i | 0.0698632 | + | 0.0806264i | ||||
\(563\) | 25.6963 | − | 16.5140i | 1.08297 | − | 0.695982i | 0.127728 | − | 0.991809i | \(-0.459231\pi\) |
0.955242 | + | 0.295827i | \(0.0955951\pi\) | |||||||
\(564\) | 4.02478 | − | 2.58657i | 0.169474 | − | 0.108914i | ||||
\(565\) | −1.37089 | − | 1.58209i | −0.0576737 | − | 0.0665590i | ||||
\(566\) | −8.63036 | + | 2.53410i | −0.362761 | + | 0.106516i | ||||
\(567\) | −0.158746 | + | 1.10411i | −0.00666672 | + | 0.0463681i | ||||
\(568\) | −8.28423 | + | 9.56051i | −0.347598 | + | 0.401150i | ||||
\(569\) | −16.9169 | + | 37.0428i | −0.709192 | + | 1.55291i | 0.119266 | + | 0.992862i | \(0.461946\pi\) |
−0.828458 | + | 0.560052i | \(0.810781\pi\) | |||||||
\(570\) | 3.45561 | + | 1.01466i | 0.144739 | + | 0.0424993i | ||||
\(571\) | 10.1135 | + | 22.1454i | 0.423235 | + | 0.926755i | 0.994376 | + | 0.105903i | \(0.0337735\pi\) |
−0.571142 | + | 0.820852i | \(0.693499\pi\) | |||||||
\(572\) | −1.13976 | − | 7.92721i | −0.0476558 | − | 0.331453i | ||||
\(573\) | 18.1056 | + | 11.6358i | 0.756372 | + | 0.486091i | ||||
\(574\) | −3.45133 | −0.144056 | ||||||||
\(575\) | 2.73939 | + | 3.93646i | 0.114241 | + | 0.164162i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −33.8366 | − | 21.7454i | −1.40864 | − | 0.905275i | −0.408663 | − | 0.912686i | \(-0.634005\pi\) |
−0.999973 | + | 0.00741072i | \(0.997641\pi\) | |||||||
\(578\) | −1.67188 | − | 11.6282i | −0.0695412 | − | 0.483670i | ||||
\(579\) | −3.13299 | − | 6.86030i | −0.130203 | − | 0.285104i | ||||
\(580\) | 1.80287 | + | 0.529370i | 0.0748601 | + | 0.0219809i | ||||
\(581\) | −7.12322 | + | 15.5977i | −0.295521 | + | 0.647101i | ||||
\(582\) | 0.803596 | − | 0.927399i | 0.0333101 | − | 0.0384419i | ||||
\(583\) | −1.13056 | + | 7.86322i | −0.0468230 | + | 0.325661i | ||||
\(584\) | −0.527459 | + | 0.154876i | −0.0218264 | + | 0.00640881i | ||||
\(585\) | 2.38000 | + | 2.74666i | 0.0984008 | + | 0.113561i | ||||
\(586\) | −23.0336 | + | 14.8028i | −0.951508 | + | 0.611497i | ||||
\(587\) | 8.71301 | − | 5.59951i | 0.359625 | − | 0.231117i | −0.348334 | − | 0.937370i | \(-0.613253\pi\) |
0.707959 | + | 0.706254i | \(0.249616\pi\) | |||||||
\(588\) | 3.76921 | + | 4.34991i | 0.155440 | + | 0.179387i | ||||
\(589\) | −10.1983 | + | 2.99448i | −0.420212 | + | 0.123385i | ||||
\(590\) | −0.928373 | + | 6.45698i | −0.0382205 | + | 0.265830i | ||||
\(591\) | −12.6510 | + | 14.6001i | −0.520394 | + | 0.600567i | ||||
\(592\) | −2.96060 | + | 6.48281i | −0.121680 | + | 0.266442i | ||||
\(593\) | −7.36227 | − | 2.16176i | −0.302332 | − | 0.0887727i | 0.127048 | − | 0.991897i | \(-0.459450\pi\) |
−0.429380 | + | 0.903124i | \(0.641268\pi\) | |||||||
\(594\) | 0.915415 | + | 2.00448i | 0.0375599 | + | 0.0822448i | ||||
\(595\) | −0.363811 | − | 2.53036i | −0.0149148 | − | 0.103735i | ||||
\(596\) | 5.87457 | + | 3.77535i | 0.240632 | + | 0.154645i | ||||
\(597\) | 19.7013 | 0.806319 | ||||||||
\(598\) | 4.29239 | − | 16.8930i | 0.175529 | − | 0.690804i | ||||
\(599\) | −26.5860 | −1.08628 | −0.543138 | − | 0.839644i | \(-0.682764\pi\) | ||||
−0.543138 | + | 0.839644i | \(0.682764\pi\) | |||||||
\(600\) | −0.841254 | − | 0.540641i | −0.0343440 | − | 0.0220716i | ||||
\(601\) | −3.32076 | − | 23.0964i | −0.135457 | − | 0.942122i | −0.938273 | − | 0.345896i | \(-0.887575\pi\) |
0.802816 | − | 0.596227i | \(-0.203334\pi\) | |||||||
\(602\) | 2.50199 | + | 5.47860i | 0.101974 | + | 0.223291i | ||||
\(603\) | −5.71094 | − | 1.67688i | −0.232568 | − | 0.0682880i | ||||
\(604\) | 1.65935 | − | 3.63347i | 0.0675180 | − | 0.147844i | ||||
\(605\) | 4.02352 | − | 4.64338i | 0.163579 | − | 0.188780i | ||||
\(606\) | 0.857445 | − | 5.96366i | 0.0348313 | − | 0.242257i | ||||
\(607\) | −25.2251 | + | 7.40675i | −1.02385 | + | 0.300631i | −0.750209 | − | 0.661200i | \(-0.770047\pi\) |
−0.273644 | + | 0.961831i | \(0.588229\pi\) | |||||||
\(608\) | 2.35848 | + | 2.72183i | 0.0956488 | + | 0.110385i | ||||
\(609\) | −1.76321 | + | 1.13314i | −0.0714487 | + | 0.0459173i | ||||
\(610\) | 3.24842 | − | 2.08763i | 0.131525 | − | 0.0845258i | ||||
\(611\) | 11.3865 | + | 13.1408i | 0.460650 | + | 0.531618i | ||||
\(612\) | −2.19894 | + | 0.645667i | −0.0888868 | + | 0.0260995i | ||||
\(613\) | −5.77043 | + | 40.1342i | −0.233065 | + | 1.62101i | 0.451650 | + | 0.892195i | \(0.350835\pi\) |
−0.684716 | + | 0.728810i | \(0.740074\pi\) | |||||||
\(614\) | −16.4931 | + | 19.0341i | −0.665608 | + | 0.768152i | ||||
\(615\) | 1.28533 | − | 2.81448i | 0.0518296 | − | 0.113491i | ||||
\(616\) | −2.35848 | − | 0.692511i | −0.0950257 | − | 0.0279021i | ||||
\(617\) | −9.18949 | − | 20.1222i | −0.369955 | − | 0.810088i | −0.999453 | − | 0.0330859i | \(-0.989467\pi\) |
0.629498 | − | 0.777002i | \(-0.283261\pi\) | |||||||
\(618\) | −0.812125 | − | 5.64846i | −0.0326685 | − | 0.227214i | ||||
\(619\) | −19.9301 | − | 12.8083i | −0.801058 | − | 0.514809i | 0.0749030 | − | 0.997191i | \(-0.476135\pi\) |
−0.875961 | + | 0.482382i | \(0.839772\pi\) | |||||||
\(620\) | 2.95122 | 0.118524 | ||||||||
\(621\) | 0.176312 | + | 4.79259i | 0.00707515 | + | 0.192320i | ||||
\(622\) | 11.6307 | 0.466350 | ||||||||
\(623\) | −1.59011 | − | 1.02190i | −0.0637066 | − | 0.0409417i | ||||
\(624\) | 0.517223 | + | 3.59736i | 0.0207055 | + | 0.144010i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | −19.8646 | − | 5.83278i | −0.793950 | − | 0.233125i | ||||
\(627\) | −3.29686 | + | 7.21912i | −0.131664 | + | 0.288304i | ||||
\(628\) | 6.17509 | − | 7.12643i | 0.246413 | − | 0.284376i | ||||
\(629\) | 2.32444 | − | 16.1669i | 0.0926816 | − | 0.644615i | ||||
\(630\) | 1.07028 | − | 0.314261i | 0.0426408 | − | 0.0125205i | ||||
\(631\) | −10.2655 | − | 11.8470i | −0.408664 | − | 0.471623i | 0.513687 | − | 0.857978i | \(-0.328279\pi\) |
−0.922350 | + | 0.386355i | \(0.873734\pi\) | |||||||
\(632\) | 9.48149 | − | 6.09338i | 0.377153 | − | 0.242382i | ||||
\(633\) | −23.2138 | + | 14.9186i | −0.922666 | + | 0.592961i | ||||
\(634\) | −11.6768 | − | 13.4757i | −0.463744 | − | 0.535189i | ||||
\(635\) | 9.57645 | − | 2.81190i | 0.380030 | − | 0.111587i | ||||
\(636\) | 0.513048 | − | 3.56833i | 0.0203437 | − | 0.141493i | ||||
\(637\) | −13.6987 | + | 15.8091i | −0.542761 | + | 0.626380i | ||||
\(638\) | −1.72005 | + | 3.76638i | −0.0680973 | + | 0.149112i | ||||
\(639\) | 12.1379 | + | 3.56402i | 0.480169 | + | 0.140990i | ||||
\(640\) | −0.415415 | − | 0.909632i | −0.0164207 | − | 0.0359564i | ||||
\(641\) | 1.65897 | + | 11.5384i | 0.0655253 | + | 0.455738i | 0.995998 | + | 0.0893769i | \(0.0284876\pi\) |
−0.930473 | + | 0.366362i | \(0.880603\pi\) | |||||||
\(642\) | −6.53445 | − | 4.19943i | −0.257894 | − | 0.165738i | ||||
\(643\) | −5.94860 | −0.234590 | −0.117295 | − | 0.993097i | \(-0.537422\pi\) | ||||
−0.117295 | + | 0.993097i | \(0.537422\pi\) | |||||||
\(644\) | −4.16898 | − | 3.35221i | −0.164281 | − | 0.132096i | ||||
\(645\) | −5.39946 | −0.212604 | ||||||||
\(646\) | −6.94354 | − | 4.46234i | −0.273190 | − | 0.175568i | ||||
\(647\) | −1.02529 | − | 7.13107i | −0.0403085 | − | 0.280351i | 0.959691 | − | 0.281056i | \(-0.0906848\pi\) |
−1.00000 | 0.000704783i | \(0.999776\pi\) | ||||||||
\(648\) | −0.415415 | − | 0.909632i | −0.0163190 | − | 0.0357337i | ||||
\(649\) | −13.7927 | − | 4.04991i | −0.541412 | − | 0.158973i | ||||
\(650\) | 1.50977 | − | 3.30593i | 0.0592179 | − | 0.129669i | ||||
\(651\) | −2.15578 | + | 2.48790i | −0.0844917 | + | 0.0975086i | ||||
\(652\) | 0.704452 | − | 4.89957i | 0.0275885 | − | 0.191882i | ||||
\(653\) | −13.3300 | + | 3.91404i | −0.521642 | + | 0.153168i | −0.531945 | − | 0.846779i | \(-0.678539\pi\) |
0.0103026 | + | 0.999947i | \(0.496721\pi\) | |||||||
\(654\) | −1.27765 | − | 1.47449i | −0.0499600 | − | 0.0576570i | ||||
\(655\) | 16.3492 | − | 10.5070i | 0.638816 | − | 0.410542i | ||||
\(656\) | 2.60291 | − | 1.67279i | 0.101627 | − | 0.0653115i | ||||
\(657\) | 0.359995 | + | 0.415456i | 0.0140447 | + | 0.0162085i | ||||
\(658\) | 5.12048 | − | 1.50351i | 0.199617 | − | 0.0586129i | ||||
\(659\) | −5.62377 | + | 39.1142i | −0.219071 | + | 1.52367i | 0.522408 | + | 0.852696i | \(0.325034\pi\) |
−0.741479 | + | 0.670976i | \(0.765875\pi\) | |||||||
\(660\) | 1.44306 | − | 1.66538i | 0.0561711 | − | 0.0648249i | ||||
\(661\) | −2.15353 | + | 4.71556i | −0.0837625 | + | 0.183414i | −0.946879 | − | 0.321591i | \(-0.895782\pi\) |
0.863116 | + | 0.505006i | \(0.168510\pi\) | |||||||
\(662\) | −28.2850 | − | 8.30522i | −1.09933 | − | 0.322792i | ||||
\(663\) | −3.46004 | − | 7.57643i | −0.134377 | − | 0.294244i | ||||
\(664\) | −2.18771 | − | 15.2159i | −0.0848998 | − | 0.590491i | ||||
\(665\) | 3.37958 | + | 2.17193i | 0.131055 | + | 0.0842237i | ||||
\(666\) | 7.12685 | 0.276160 | ||||||||
\(667\) | −6.58872 | + | 6.14751i | −0.255116 | + | 0.238033i | ||||
\(668\) | −6.83482 | −0.264447 | ||||||||
\(669\) | 4.38005 | + | 2.81489i | 0.169343 | + | 0.108830i | ||||
\(670\) | 0.847064 | + | 5.89146i | 0.0327249 | + | 0.227607i | ||||
\(671\) | 3.53479 | + | 7.74011i | 0.136459 | + | 0.298803i | ||||
\(672\) | 1.07028 | + | 0.314261i | 0.0412868 | + | 0.0121229i | ||||
\(673\) | −12.0403 | + | 26.3645i | −0.464118 | + | 1.01628i | 0.522412 | + | 0.852693i | \(0.325032\pi\) |
−0.986530 | + | 0.163583i | \(0.947695\pi\) | |||||||
\(674\) | 3.42492 | − | 3.95257i | 0.131923 | − | 0.152247i | ||||
\(675\) | −0.142315 | + | 0.989821i | −0.00547770 | + | 0.0380982i | ||||
\(676\) | −0.200098 | + | 0.0587541i | −0.00769607 | + | 0.00225977i | ||||
\(677\) | −4.64089 | − | 5.35587i | −0.178364 | − | 0.205843i | 0.659527 | − | 0.751681i | \(-0.270757\pi\) |
−0.837891 | + | 0.545838i | \(0.816211\pi\) | |||||||
\(678\) | −1.76108 | + | 1.13178i | −0.0676340 | + | 0.0434657i | ||||
\(679\) | 1.15151 | − | 0.740034i | 0.0441911 | − | 0.0283999i | ||||
\(680\) | 1.50079 | + | 1.73201i | 0.0575527 | + | 0.0664194i | ||||
\(681\) | 10.7946 | − | 3.16957i | 0.413648 | − | 0.121458i | ||||
\(682\) | −0.925524 | + | 6.43716i | −0.0354401 | + | 0.246492i | ||||
\(683\) | 8.01814 | − | 9.25343i | 0.306806 | − | 0.354073i | −0.581319 | − | 0.813676i | \(-0.697463\pi\) |
0.888124 | + | 0.459603i | \(0.152008\pi\) | |||||||
\(684\) | 1.49611 | − | 3.27603i | 0.0572054 | − | 0.125262i | ||||
\(685\) | 4.46093 | + | 1.30985i | 0.170443 | + | 0.0500467i | ||||
\(686\) | 5.91074 | + | 12.9427i | 0.225673 | + | 0.494155i | ||||
\(687\) | −2.42915 | − | 16.8951i | −0.0926778 | − | 0.644588i | ||||
\(688\) | −4.54231 | − | 2.91917i | −0.173174 | − | 0.111292i | ||||
\(689\) | 13.1019 | 0.499144 | ||||||||
\(690\) | 4.28625 | − | 2.15129i | 0.163175 | − | 0.0818983i | ||||
\(691\) | 23.0262 | 0.875957 | 0.437978 | − | 0.898985i | \(-0.355695\pi\) | ||||
0.437978 | + | 0.898985i | \(0.355695\pi\) | |||||||
\(692\) | −18.8592 | − | 12.1200i | −0.716918 | − | 0.460735i | ||||
\(693\) | 0.349816 | + | 2.43303i | 0.0132884 | + | 0.0924230i | ||||
\(694\) | 3.53362 | + | 7.73755i | 0.134134 | + | 0.293713i | ||||
\(695\) | −0.138572 | − | 0.0406884i | −0.00525633 | − | 0.00154340i | ||||
\(696\) | 0.780557 | − | 1.70918i | 0.0295869 | − | 0.0647863i | ||||
\(697\) | −4.64358 | + | 5.35898i | −0.175888 | + | 0.202986i | ||||
\(698\) | −4.43246 | + | 30.8284i | −0.167771 | + | 1.16687i | ||||
\(699\) | −16.1623 | + | 4.74569i | −0.611315 | + | 0.179498i | ||||
\(700\) | −0.730471 | − | 0.843008i | −0.0276092 | − | 0.0318627i | ||||
\(701\) | −16.7830 | + | 10.7858i | −0.633884 | + | 0.407372i | −0.817746 | − | 0.575580i | \(-0.804776\pi\) |
0.183862 | + | 0.982952i | \(0.441140\pi\) | |||||||
\(702\) | 3.05742 | − | 1.96488i | 0.115395 | − | 0.0741597i | ||||
\(703\) | 16.8085 | + | 19.3980i | 0.633945 | + | 0.731611i | ||||
\(704\) | 2.11435 | − | 0.620830i | 0.0796877 | − | 0.0233984i | ||||
\(705\) | −0.680871 | + | 4.73556i | −0.0256431 | + | 0.178352i | ||||
\(706\) | 10.7328 | − | 12.3863i | 0.403934 | − | 0.466164i | ||||
\(707\) | 2.79185 | − | 6.11330i | 0.104998 | − | 0.229914i | ||||
\(708\) | 6.25913 | + | 1.83785i | 0.235233 | + | 0.0690705i | ||||
\(709\) | 5.20329 | + | 11.3936i | 0.195414 | + | 0.427897i | 0.981820 | − | 0.189813i | \(-0.0607881\pi\) |
−0.786406 | + | 0.617709i | \(0.788061\pi\) | |||||||
\(710\) | −1.80033 | − | 12.5216i | −0.0675653 | − | 0.469927i | ||||
\(711\) | −9.48149 | − | 6.09338i | −0.355584 | − | 0.228520i | ||||
\(712\) | 1.69452 | 0.0635049 | ||||||||
\(713\) | −7.20908 | + | 12.1800i | −0.269982 | + | 0.456144i | ||||
\(714\) | −2.55638 | −0.0956701 | ||||||||
\(715\) | 6.73737 | + | 4.32984i | 0.251963 | + | 0.161927i | ||||
\(716\) | 1.16077 | + | 8.07334i | 0.0433801 | + | 0.301715i | ||||
\(717\) | −0.500315 | − | 1.09554i | −0.0186846 | − | 0.0409136i | ||||
\(718\) | −9.25262 | − | 2.71682i | −0.345305 | − | 0.101391i | ||||
\(719\) | 14.7013 | − | 32.1913i | 0.548266 | − | 1.20053i | −0.409321 | − | 0.912390i | \(-0.634235\pi\) |
0.957587 | − | 0.288144i | \(-0.0930382\pi\) | |||||||
\(720\) | −0.654861 | + | 0.755750i | −0.0244052 | + | 0.0281651i | ||||
\(721\) | 0.905893 | − | 6.30062i | 0.0337372 | − | 0.234648i | ||||
\(722\) | −5.78502 | + | 1.69864i | −0.215296 | + | 0.0632167i | ||||
\(723\) | −4.04763 | − | 4.67121i | −0.150533 | − | 0.173724i | ||||
\(724\) | 17.1610 | − | 11.0287i | 0.637785 | − | 0.409879i | ||||
\(725\) | −1.58070 | + | 1.01585i | −0.0587057 | + | 0.0377279i | ||||
\(726\) | −4.02352 | − | 4.64338i | −0.149327 | − | 0.172332i | ||||
\(727\) | −8.31369 | + | 2.44112i | −0.308338 | + | 0.0905361i | −0.432241 | − | 0.901758i | \(-0.642277\pi\) |
0.123903 | + | 0.992294i | \(0.460459\pi\) | |||||||
\(728\) | −0.576941 | + | 4.01271i | −0.0213829 | + | 0.148721i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 0.228365 | − | 0.500049i | 0.00845216 | − | 0.0185077i | ||||
\(731\) | 11.8731 | + | 3.48625i | 0.439142 | + | 0.128944i | ||||
\(732\) | −1.60409 | − | 3.51246i | −0.0592887 | − | 0.129824i | ||||
\(733\) | 2.73714 | + | 19.0372i | 0.101098 | + | 0.703155i | 0.975827 | + | 0.218543i | \(0.0701303\pi\) |
−0.874729 | + | 0.484612i | \(0.838961\pi\) | |||||||
\(734\) | 16.9752 | + | 10.9093i | 0.626566 | + | 0.402670i | ||||
\(735\) | −5.75575 | −0.212304 | ||||||||
\(736\) | 4.76890 | + | 0.507539i | 0.175784 | + | 0.0187081i | ||||
\(737\) | −13.1160 | −0.483135 | ||||||||
\(738\) | −2.60291 | − | 1.67279i | −0.0958146 | − | 0.0615763i | ||||
\(739\) | −0.605195 | − | 4.20922i | −0.0222625 | − | 0.154839i | 0.975658 | − | 0.219298i | \(-0.0703768\pi\) |
−0.997920 | + | 0.0644595i | \(0.979468\pi\) | |||||||
\(740\) | −2.96060 | − | 6.48281i | −0.108834 | − | 0.238313i | ||||
\(741\) | 12.5589 | + | 3.68763i | 0.461363 | + | 0.135468i | ||||
\(742\) | 1.67049 | − | 3.65786i | 0.0613256 | − | 0.134284i | ||||
\(743\) | 22.1369 | − | 25.5473i | 0.812122 | − | 0.937239i | −0.186858 | − | 0.982387i | \(-0.559830\pi\) |
0.998980 | + | 0.0451479i | \(0.0143759\pi\) | |||||||
\(744\) | 0.420002 | − | 2.92118i | 0.0153980 | − | 0.107096i | ||||
\(745\) | −6.70024 | + | 1.96737i | −0.245478 | + | 0.0720788i | ||||
\(746\) | 3.33082 | + | 3.84397i | 0.121950 | + | 0.140738i | ||||
\(747\) | −12.9320 | + | 8.31092i | −0.473159 | + | 0.304081i | ||||
\(748\) | −4.24848 | + | 2.73034i | −0.155340 | + | 0.0998309i | ||||
\(749\) | −5.67394 | − | 6.54808i | −0.207321 | − | 0.239261i | ||||
\(750\) | 0.959493 | − | 0.281733i | 0.0350357 | − | 0.0102874i | ||||
\(751\) | −3.54098 | + | 24.6280i | −0.129212 | + | 0.898690i | 0.817344 | + | 0.576150i | \(0.195446\pi\) |
−0.946556 | + | 0.322540i | \(0.895463\pi\) | |||||||
\(752\) | −3.13303 | + | 3.61570i | −0.114250 | + | 0.131851i | ||||
\(753\) | 7.45993 | − | 16.3350i | 0.271855 | − | 0.595279i | ||||
\(754\) | 6.55227 | + | 1.92392i | 0.238620 | + | 0.0700650i | ||||
\(755\) | 1.65935 | + | 3.63347i | 0.0603900 | + | 0.132236i | ||||
\(756\) | −0.158746 | − | 1.10411i | −0.00577355 | − | 0.0401559i | ||||
\(757\) | −16.0372 | − | 10.3065i | −0.582880 | − | 0.374594i | 0.215721 | − | 0.976455i | \(-0.430790\pi\) |
−0.798601 | + | 0.601861i | \(0.794426\pi\) | |||||||
\(758\) | −12.0413 | −0.437359 | ||||||||
\(759\) | 3.34817 | + | 10.0238i | 0.121531 | + | 0.363840i | ||||
\(760\) | −3.60149 | −0.130640 | ||||||||
\(761\) | −15.4622 | − | 9.93694i | −0.560504 | − | 0.360214i | 0.229507 | − | 0.973307i | \(-0.426289\pi\) |
−0.790011 | + | 0.613093i | \(0.789925\pi\) | |||||||
\(762\) | −1.42041 | − | 9.87915i | −0.0514559 | − | 0.357884i | ||||
\(763\) | −0.904063 | − | 1.97962i | −0.0327293 | − | 0.0716671i | ||||
\(764\) | −20.6504 | − | 6.06349i | −0.747103 | − | 0.219369i | ||||
\(765\) | 0.952036 | − | 2.08467i | 0.0344209 | − | 0.0753714i | ||||
\(766\) | 2.05236 | − | 2.36855i | 0.0741549 | − | 0.0855793i | ||||
\(767\) | −3.37404 | + | 23.4670i | −0.121829 | + | 0.847343i | ||||
\(768\) | −0.959493 | + | 0.281733i | −0.0346227 | + | 0.0101661i | ||||
\(769\) | −1.84988 | − | 2.13488i | −0.0667085 | − | 0.0769857i | 0.721414 | − | 0.692504i | \(-0.243492\pi\) |
−0.788123 | + | 0.615518i | \(0.788947\pi\) | |||||||
\(770\) | 2.06784 | − | 1.32892i | 0.0745197 | − | 0.0478909i | ||||
\(771\) | 1.36640 | − | 0.878131i | 0.0492096 | − | 0.0316251i | ||||
\(772\) | 4.93885 | + | 5.69974i | 0.177753 | + | 0.205138i | ||||
\(773\) | 37.5693 | − | 11.0313i | 1.35127 | − | 0.396769i | 0.475594 | − | 0.879665i | \(-0.342233\pi\) |
0.875678 | + | 0.482895i | \(0.160415\pi\) | |||||||
\(774\) | −0.768423 | + | 5.34450i | −0.0276204 | + | 0.192104i | ||||
\(775\) | −1.93264 | + | 2.23038i | −0.0694224 | + | 0.0801177i | ||||
\(776\) | −0.509766 | + | 1.11623i | −0.0182995 | + | 0.0400704i | ||||
\(777\) | 7.62769 | + | 2.23969i | 0.273642 | + | 0.0803485i | ||||
\(778\) | −3.07266 | − | 6.72820i | −0.110160 | − | 0.241218i | ||||
\(779\) | −1.58586 | − | 11.0299i | −0.0568194 | − | 0.395188i | ||||
\(780\) | −3.05742 | − | 1.96488i | −0.109473 | − | 0.0703540i | ||||
\(781\) | 27.8765 | 0.997501 | ||||||||
\(782\) | −10.8142 | + | 1.96307i | −0.386716 | + | 0.0701993i | ||||
\(783\) | −1.87898 | −0.0671493 | ||||||||
\(784\) | −4.84204 | − | 3.11179i | −0.172930 | − | 0.111135i | ||||
\(785\) | 1.34197 | + | 9.33364i | 0.0478971 | + | 0.333132i | ||||
\(786\) | −8.07331 | − | 17.6781i | −0.287966 | − | 0.630557i | ||||
\(787\) | 8.05645 | + | 2.36559i | 0.287182 | + | 0.0843241i | 0.422151 | − | 0.906526i | \(-0.361275\pi\) |
−0.134969 | + | 0.990850i | \(0.543094\pi\) | |||||||
\(788\) | 8.02527 | − | 17.5729i | 0.285888 | − | 0.626008i | ||||
\(789\) | 14.8194 | − | 17.1025i | 0.527584 | − | 0.608864i | ||||
\(790\) | −1.60398 | + | 11.1559i | −0.0570672 | + | 0.396911i | ||||
\(791\) | −2.24052 | + | 0.657876i | −0.0796637 | + | 0.0233914i | ||||
\(792\) | −1.44306 | − | 1.66538i | −0.0512770 | − | 0.0591768i | ||||
\(793\) | 11.8059 | − | 7.58720i | 0.419240 | − | 0.269429i | ||||
\(794\) | −4.66511 | + | 2.99808i | −0.165558 | + | 0.106398i | ||||
\(795\) | 2.36079 | + | 2.72449i | 0.0837284 | + | 0.0966278i | ||||
\(796\) | −18.9032 | + | 5.55049i | −0.670007 | + | 0.196732i | ||||
\(797\) | 3.77924 | − | 26.2852i | 0.133867 | − | 0.931069i | −0.806579 | − | 0.591126i | \(-0.798683\pi\) |
0.940446 | − | 0.339942i | \(-0.110407\pi\) | |||||||
\(798\) | 2.63079 | − | 3.03609i | 0.0931288 | − | 0.107476i | ||||
\(799\) | 4.55479 | − | 9.97360i | 0.161137 | − | 0.352841i | ||||
\(800\) | 0.959493 | + | 0.281733i | 0.0339232 | + | 0.00996075i | ||||
\(801\) | −0.703930 | − | 1.54139i | −0.0248722 | − | 0.0544624i | ||||
\(802\) | −5.27320 | − | 36.6759i | −0.186203 | − | 1.29507i | ||||
\(803\) | 1.01908 | + | 0.654925i | 0.0359627 | + | 0.0231118i | ||||
\(804\) | 5.95204 | 0.209912 | ||||||||
\(805\) | 5.26354 | − | 0.955474i | 0.185515 | − | 0.0336760i | ||||
\(806\) | 10.7258 | 0.377800 | ||||||||
\(807\) | −4.18801 | − | 2.69147i | −0.147425 | − | 0.0947443i | ||||
\(808\) | 0.857445 | + | 5.96366i | 0.0301648 | + | 0.209801i | ||||
\(809\) | −9.22858 | − | 20.2078i | −0.324460 | − | 0.710468i | 0.675170 | − | 0.737662i | \(-0.264070\pi\) |
−0.999630 | + | 0.0271941i | \(0.991343\pi\) | |||||||
\(810\) | 0.959493 | + | 0.281733i | 0.0337131 | + | 0.00989907i | ||||
\(811\) | −5.80116 | + | 12.7028i | −0.203706 | + | 0.446055i | −0.983720 | − | 0.179708i | \(-0.942485\pi\) |
0.780014 | + | 0.625762i | \(0.215212\pi\) | |||||||
\(812\) | 1.37254 | − | 1.58400i | 0.0481667 | − | 0.0555874i | ||||
\(813\) | −0.633933 | + | 4.40910i | −0.0222330 | + | 0.154634i | ||||
\(814\) | 15.0687 | − | 4.42456i | 0.528157 | − | 0.155081i | ||||
\(815\) | 3.24153 | + | 3.74093i | 0.113546 | + | 0.131039i | ||||
\(816\) | 1.92796 | − | 1.23903i | 0.0674921 | − | 0.0433746i | ||||
\(817\) | −16.3591 | + | 10.5134i | −0.572333 | + | 0.367816i | ||||
\(818\) | −14.6801 | − | 16.9418i | −0.513279 | − | 0.592355i | ||||
\(819\) | 3.88976 | − | 1.14214i | 0.135919 | − | 0.0399095i | ||||
\(820\) | −0.440335 | + | 3.06260i | −0.0153772 | + | 0.106950i | ||||
\(821\) | −29.2235 | + | 33.7257i | −1.01991 | + | 1.17704i | −0.0358186 | + | 0.999358i | \(0.511404\pi\) |
−0.984089 | + | 0.177678i | \(0.943142\pi\) | |||||||
\(822\) | 1.93137 | − | 4.22912i | 0.0673644 | − | 0.147507i | ||||
\(823\) | 38.8961 | + | 11.4209i | 1.35583 | + | 0.398109i | 0.877292 | − | 0.479956i | \(-0.159347\pi\) |
0.478541 | + | 0.878065i | \(0.341166\pi\) | |||||||
\(824\) | 2.37058 | + | 5.19085i | 0.0825831 | + | 0.180832i | ||||
\(825\) | 0.313607 | + | 2.18119i | 0.0109184 | + | 0.0759391i | ||||
\(826\) | 6.12143 | + | 3.93401i | 0.212992 | + | 0.136882i | ||||
\(827\) | 5.40012 | 0.187781 | 0.0938903 | − | 0.995583i | \(-0.470070\pi\) | ||||
0.0938903 | + | 0.995583i | \(0.470070\pi\) | |||||||
\(828\) | −1.51940 | − | 4.54878i | −0.0528027 | − | 0.158081i | ||||
\(829\) | −6.06855 | −0.210770 | −0.105385 | − | 0.994432i | \(-0.533607\pi\) | ||||
−0.105385 | + | 0.994432i | \(0.533607\pi\) | |||||||
\(830\) | 12.9320 | + | 8.31092i | 0.448878 | + | 0.288476i | ||||
\(831\) | −3.11010 | − | 21.6312i | −0.107888 | − | 0.750379i | ||||
\(832\) | −1.50977 | − | 3.30593i | −0.0523417 | − | 0.114612i | ||||
\(833\) | 12.6565 | + | 3.71630i | 0.438523 | + | 0.128762i | ||||
\(834\) | −0.0599951 | + | 0.131371i | −0.00207746 | + | 0.00454900i | ||||
\(835\) | 4.47585 | − | 5.16541i | 0.154893 | − | 0.178756i | ||||
\(836\) | 1.12945 | − | 7.85553i | 0.0390630 | − | 0.271689i | ||||
\(837\) | −2.83167 | + | 0.831455i | −0.0978770 | + | 0.0287393i | ||||
\(838\) | 4.47880 | + | 5.16881i | 0.154718 | + | 0.178554i | ||||
\(839\) | 41.4058 | − | 26.6099i | 1.42949 | − | 0.918677i | 0.429611 | − | 0.903014i | \(-0.358651\pi\) |
0.999877 | − | 0.0156626i | \(-0.00498578\pi\) | |||||||
\(840\) | −0.938384 | + | 0.603063i | −0.0323773 | + | 0.0208077i | ||||
\(841\) | 16.6789 | + | 19.2485i | 0.575136 | + | 0.663742i | ||||
\(842\) | −23.7153 | + | 6.96344i | −0.817283 | + | 0.239976i | ||||
\(843\) | −0.359930 | + | 2.50337i | −0.0123966 | + | 0.0862205i | ||||
\(844\) | 18.0704 | − | 20.8544i | 0.622010 | − | 0.717837i | ||||
\(845\) | 0.0866329 | − | 0.189700i | 0.00298026 | − | 0.00652587i | ||||
\(846\) | 4.59047 | + | 1.34788i | 0.157823 | + | 0.0463411i | ||||
\(847\) | −2.84704 | − | 6.23414i | −0.0978253 | − | 0.214207i | ||||
\(848\) | 0.513048 | + | 3.56833i | 0.0176181 | + | 0.122537i | ||||
\(849\) | −7.56683 | − | 4.86291i | −0.259693 | − | 0.166895i | ||||
\(850\) | −2.29177 | −0.0786071 | ||||||||
\(851\) | 33.9872 | + | 3.61716i | 1.16507 | + | 0.123994i | ||||
\(852\) | −12.6504 | −0.433394 | ||||||||
\(853\) | −22.8586 | − | 14.6904i | −0.782665 | − | 0.502988i | 0.0872520 | − | 0.996186i | \(-0.472191\pi\) |
−0.869917 | + | 0.493198i | \(0.835828\pi\) | |||||||
\(854\) | −0.612984 | − | 4.26340i | −0.0209759 | − | 0.145891i | ||||
\(855\) | 1.49611 | + | 3.27603i | 0.0511660 | + | 0.112038i | ||||
\(856\) | 7.45287 | + | 2.18836i | 0.254734 | + | 0.0747966i | ||||
\(857\) | −2.73855 | + | 5.99658i | −0.0935470 | + | 0.204839i | −0.950621 | − | 0.310354i | \(-0.899553\pi\) |
0.857074 | + | 0.515193i | \(0.172280\pi\) | |||||||
\(858\) | 5.24460 | − | 6.05259i | 0.179048 | − | 0.206632i | ||||
\(859\) | −2.03138 | + | 14.1286i | −0.0693099 | + | 0.482061i | 0.925372 | + | 0.379061i | \(0.123753\pi\) |
−0.994681 | + | 0.102999i | \(0.967156\pi\) | |||||||
\(860\) | 5.18074 | − | 1.52120i | 0.176662 | − | 0.0518726i | ||||
\(861\) | −2.26014 | − | 2.60834i | −0.0770254 | − | 0.0888921i | ||||
\(862\) | 14.5382 | − | 9.34315i | 0.495174 | − | 0.318229i | ||||
\(863\) | 1.33324 | − | 0.856822i | 0.0453840 | − | 0.0291666i | −0.517752 | − | 0.855531i | \(-0.673231\pi\) |
0.563136 | + | 0.826364i | \(0.309595\pi\) | |||||||
\(864\) | 0.654861 | + | 0.755750i | 0.0222788 | + | 0.0257111i | ||||
\(865\) | 21.5098 | − | 6.31586i | 0.731357 | − | 0.214746i | ||||
\(866\) | −1.00281 | + | 6.97472i | −0.0340770 | + | 0.237011i | ||||
\(867\) | 7.69316 | − | 8.87838i | 0.261273 | − | 0.301526i | ||||
\(868\) | 1.36753 | − | 2.99448i | 0.0464171 | − | 0.101639i | ||||
\(869\) | −23.8302 | − | 6.99717i | −0.808384 | − | 0.237363i | ||||
\(870\) | 0.780557 | + | 1.70918i | 0.0264634 | + | 0.0579467i | ||||
\(871\) | 3.07853 | + | 21.4117i | 0.104312 | + | 0.725507i | ||||
\(872\) | 1.64131 | + | 1.05480i | 0.0555816 | + | 0.0357202i | ||||
\(873\) | 1.22713 | 0.0415319 | ||||||||
\(874\) | 8.79753 | − | 14.8637i | 0.297581 | − | 0.502773i | ||||
\(875\) | 1.11546 | 0.0377094 | ||||||||
\(876\) | −0.462460 | − | 0.297205i | −0.0156251 | − | 0.0100416i | ||||
\(877\) | 8.16915 | + | 56.8177i | 0.275853 | + | 1.91860i | 0.381839 | + | 0.924229i | \(0.375291\pi\) |
−0.105986 | + | 0.994368i | \(0.533800\pi\) | |||||||
\(878\) | 9.69978 | + | 21.2396i | 0.327352 | + | 0.716800i | ||||
\(879\) | −26.2710 | − | 7.71386i | −0.886098 | − | 0.260182i | ||||
\(880\) | −0.915415 | + | 2.00448i | −0.0308586 | + | 0.0675710i | ||||
\(881\) | 4.09019 | − | 4.72033i | 0.137802 | − | 0.159032i | −0.682654 | − | 0.730742i | \(-0.739174\pi\) |
0.820456 | + | 0.571710i | \(0.193720\pi\) | |||||||
\(882\) | −0.819129 | + | 5.69716i | −0.0275815 | + | 0.191834i | ||||
\(883\) | 39.2285 | − | 11.5185i | 1.32015 | − | 0.387630i | 0.455600 | − | 0.890184i | \(-0.349425\pi\) |
0.864545 | + | 0.502555i | \(0.167606\pi\) | |||||||
\(884\) | 5.45441 | + | 6.29472i | 0.183452 | + | 0.211714i | ||||
\(885\) | −5.48781 | + | 3.52680i | −0.184471 | + | 0.118552i | ||||
\(886\) | −7.93263 | + | 5.09799i | −0.266502 | + | 0.171270i | ||||
\(887\) | −9.64595 | − | 11.1320i | −0.323879 | − | 0.373777i | 0.570338 | − | 0.821410i | \(-0.306812\pi\) |
−0.894217 | + | 0.447634i | \(0.852267\pi\) | |||||||
\(888\) | −6.83816 | + | 2.00786i | −0.229474 | + | 0.0673795i | ||||
\(889\) | 1.58441 | − | 11.0198i | 0.0531393 | − | 0.369592i | ||||
\(890\) | −1.10968 | + | 1.28064i | −0.0371965 | + | 0.0429270i | ||||
\(891\) | −0.915415 | + | 2.00448i | −0.0306676 | + | 0.0671526i | ||||
\(892\) | −4.99567 | − | 1.46686i | −0.167268 | − | 0.0491142i | ||||
\(893\) | 7.15780 | + | 15.6734i | 0.239527 | + | 0.524490i | ||||
\(894\) | 0.993800 | + | 6.91203i | 0.0332376 | + | 0.231173i | ||||
\(895\) | −6.86157 | − | 4.40966i | −0.229357 | − | 0.147399i | ||||
\(896\) | −1.11546 | −0.0372649 | ||||||||
\(897\) | 15.5778 | − | 7.81856i | 0.520126 | − | 0.261054i | ||||
\(898\) | 24.3919 | 0.813968 | ||||||||
\(899\) | −4.66499 | − | 2.99801i | −0.155586 | − | 0.0999891i | ||||
\(900\) | −0.142315 | − | 0.989821i | −0.00474383 | − | 0.0329940i | ||||
\(901\) | −3.43211 | − | 7.51527i | −0.114340 | − | 0.250370i | ||||
\(902\) | −6.54200 | − | 1.92090i | −0.217825 | − | 0.0639591i | ||||
\(903\) | −2.50199 | + | 5.47860i | −0.0832612 | + | 0.182317i | ||||
\(904\) | 1.37089 | − | 1.58209i | 0.0455951 | − | 0.0526195i | ||||
\(905\) | −2.90313 | + | 20.1917i | −0.0965033 | + | 0.671195i | ||||
\(906\) | 3.83264 | − | 1.12536i | 0.127331 | − | 0.0373877i | ||||
\(907\) | −31.1317 | − | 35.9279i | −1.03371 | − | 1.19297i | −0.980930 | − | 0.194361i | \(-0.937737\pi\) |
−0.0527821 | − | 0.998606i | \(-0.516809\pi\) | |||||||
\(908\) | −9.46433 | + | 6.08236i | −0.314085 | + | 0.201850i | ||||
\(909\) | 5.06854 | − | 3.25735i | 0.168113 | − | 0.108040i | ||||
\(910\) | −2.65479 | − | 3.06379i | −0.0880055 | − | 0.101564i | ||||
\(911\) | 28.7152 | − | 8.43153i | 0.951375 | − | 0.279349i | 0.231016 | − | 0.972950i | \(-0.425795\pi\) |
0.720359 | + | 0.693601i | \(0.243977\pi\) | |||||||
\(912\) | −0.512546 | + | 3.56484i | −0.0169721 | + | 0.118043i | ||||
\(913\) | −22.1832 | + | 25.6008i | −0.734158 | + | 0.847264i | ||||
\(914\) | −14.8578 | + | 32.5341i | −0.491453 | + | 1.07613i | ||||
\(915\) | 3.70499 | + | 1.08788i | 0.122483 | + | 0.0359643i | ||||
\(916\) | 7.09065 | + | 15.5264i | 0.234282 | + | 0.513005i | ||||
\(917\) | −3.08513 | − | 21.4576i | −0.101880 | − | 0.708591i | ||||
\(918\) | −1.92796 | − | 1.23903i | −0.0636322 | − | 0.0408939i | ||||
\(919\) | −22.4503 | −0.740566 | −0.370283 | − | 0.928919i | \(-0.620739\pi\) | ||||
−0.370283 | + | 0.928919i | \(0.620739\pi\) | |||||||
\(920\) | −3.50654 | + | 3.27173i | −0.115607 | + | 0.107866i | ||||
\(921\) | −25.1857 | −0.829896 | ||||||||
\(922\) | 3.54435 | + | 2.27782i | 0.116727 | + | 0.0750160i | ||||
\(923\) | −6.54306 | − | 45.5080i | −0.215367 | − | 1.49791i | ||||
\(924\) | −1.02111 | − | 2.23592i | −0.0335920 | − | 0.0735562i | ||||
\(925\) | 6.83816 | + | 2.00786i | 0.224837 | + | 0.0660182i | ||||
\(926\) | 1.98897 | − | 4.35523i | 0.0653615 | − | 0.143122i | ||||
\(927\) | 3.73699 | − | 4.31271i | 0.122739 | − | 0.141648i | ||||
\(928\) | −0.267407 | + | 1.85986i | −0.00877806 | + | 0.0610527i | ||||
\(929\) | 42.2658 | − | 12.4104i | 1.38670 | − | 0.407170i | 0.498601 | − | 0.866832i | \(-0.333847\pi\) |
0.888094 | + | 0.459661i | \(0.152029\pi\) | |||||||
\(930\) | 1.93264 | + | 2.23038i | 0.0633737 | + | 0.0731371i | ||||
\(931\) | −17.4386 | + | 11.2071i | −0.571527 | + | 0.367298i | ||||
\(932\) | 14.1706 | − | 9.10690i | 0.464174 | − | 0.298307i | ||||
\(933\) | 7.61652 | + | 8.78993i | 0.249354 | + | 0.287769i | ||||
\(934\) | −20.3205 | + | 5.96664i | −0.664908 | + | 0.195234i | ||||
\(935\) | 0.718716 | − | 4.99878i | 0.0235045 | − | 0.163478i | ||||
\(936\) | −2.38000 | + | 2.74666i | −0.0777926 | + | 0.0897775i | ||||
\(937\) | 3.43955 | − | 7.53157i | 0.112365 | − | 0.246046i | −0.845092 | − | 0.534621i | \(-0.820454\pi\) |
0.957457 | + | 0.288576i | \(0.0931816\pi\) | |||||||
\(938\) | 6.37033 | + | 1.87050i | 0.207999 | + | 0.0610739i | ||||
\(939\) | −8.60044 | − | 18.8323i | −0.280665 | − | 0.614570i | ||||
\(940\) | −0.680871 | − | 4.73556i | −0.0222076 | − | 0.154457i | ||||
\(941\) | 38.4243 | + | 24.6938i | 1.25260 | + | 0.804995i | 0.987253 | − | 0.159159i | \(-0.0508781\pi\) |
0.265344 | + | 0.964154i | \(0.414514\pi\) | |||||||
\(942\) | 9.42962 | 0.307234 | ||||||||
\(943\) | −11.5640 | − | 9.29845i | −0.376577 | − | 0.302799i | ||||
\(944\) | −6.52338 | −0.212318 | ||||||||
\(945\) | 0.938384 | + | 0.603063i | 0.0305256 | + | 0.0196176i | ||||
\(946\) | 1.69331 | + | 11.7772i | 0.0550542 | + | 0.382911i | ||||
\(947\) | 24.0018 | + | 52.5565i | 0.779952 | + | 1.70786i | 0.703402 | + | 0.710792i | \(0.251663\pi\) |
0.0765500 | + | 0.997066i | \(0.475610\pi\) | |||||||
\(948\) | 10.8141 | + | 3.17531i | 0.351227 | + | 0.103129i | ||||
\(949\) | 0.829959 | − | 1.81736i | 0.0269416 | − | 0.0589939i | ||||
\(950\) | 2.35848 | − | 2.72183i | 0.0765191 | − | 0.0883077i | ||||
\(951\) | 2.53760 | − | 17.6494i | 0.0822875 | − | 0.572322i | ||||
\(952\) | 2.45283 | − | 0.720215i | 0.0794966 | − | 0.0233423i | ||||
\(953\) | 19.2554 | + | 22.2219i | 0.623743 | + | 0.719837i | 0.976413 | − | 0.215910i | \(-0.0692718\pi\) |
−0.352671 | + | 0.935748i | \(0.614726\pi\) | |||||||
\(954\) | 3.03274 | − | 1.94902i | 0.0981884 | − | 0.0631019i | ||||
\(955\) | 18.1056 | − | 11.6358i | 0.585883 | − | 0.376524i | ||||
\(956\) | 0.788697 | + | 0.910205i | 0.0255083 | + | 0.0294381i | ||||
\(957\) | −3.97283 | + | 1.16653i | −0.128423 | + | 0.0377085i | ||||
\(958\) | 1.43616 | − | 9.98869i | 0.0464001 | − | 0.322720i | ||||
\(959\) | 3.39615 | − | 3.91936i | 0.109667 | − | 0.126563i | ||||
\(960\) | 0.415415 | − | 0.909632i | 0.0134075 | − | 0.0293582i | ||||
\(961\) | 21.3874 | + | 6.27990i | 0.689916 | + | 0.202578i | ||||
\(962\) | −10.7599 | − | 23.5608i | −0.346912 | − | 0.759632i | ||||
\(963\) | −1.10543 | − | 7.68845i | −0.0356220 | − | 0.247757i | ||||
\(964\) | 5.19970 | + | 3.34165i | 0.167471 | + | 0.107627i | ||||
\(965\) | −7.54184 | −0.242780 | ||||||||
\(966\) | −0.196669 | − | 5.34594i | −0.00632771 | − | 0.172003i | ||||
\(967\) | −7.46878 | −0.240180 | −0.120090 | − | 0.992763i | \(-0.538318\pi\) | ||||
−0.120090 | + | 0.992763i | \(0.538318\pi\) | |||||||
\(968\) | 5.16873 | + | 3.32174i | 0.166129 | + | 0.106765i | ||||
\(969\) | −1.17464 | − | 8.16979i | −0.0377348 | − | 0.262451i | ||||
\(970\) | −0.509766 | − | 1.11623i | −0.0163676 | − | 0.0358401i | ||||
\(971\) | 12.9017 | + | 3.78829i | 0.414037 | + | 0.121572i | 0.482115 | − | 0.876108i | \(-0.339869\pi\) |
−0.0680786 | + | 0.997680i | \(0.521687\pi\) | |||||||
\(972\) | 0.415415 | − | 0.909632i | 0.0133244 | − | 0.0291765i | ||||
\(973\) | −0.105496 | + | 0.121749i | −0.00338205 | + | 0.00390309i | ||||
\(974\) | −5.57526 | + | 38.7768i | −0.178643 | + | 1.24249i | ||||
\(975\) | 3.48714 | − | 1.02392i | 0.111678 | − | 0.0327916i | ||||
\(976\) | 2.52868 | + | 2.91826i | 0.0809412 | + | 0.0934111i | ||||
\(977\) | 3.51785 | − | 2.26079i | 0.112546 | − | 0.0723290i | −0.483157 | − | 0.875534i | \(-0.660510\pi\) |
0.595703 | + | 0.803205i | \(0.296874\pi\) | |||||||
\(978\) | 4.16417 | − | 2.67615i | 0.133155 | − | 0.0855738i | ||||
\(979\) | −2.44530 | − | 2.82203i | −0.0781522 | − | 0.0901924i | ||||
\(980\) | 5.52260 | − | 1.62158i | 0.176413 | − | 0.0517995i | ||||
\(981\) | 0.277660 | − | 1.93117i | 0.00886499 | − | 0.0616574i | ||||
\(982\) | 8.69588 | − | 10.0356i | 0.277497 | − | 0.320248i | ||||
\(983\) | 19.7982 | − | 43.3520i | 0.631464 | − | 1.38271i | −0.275416 | − | 0.961325i | \(-0.588816\pi\) |
0.906880 | − | 0.421388i | \(-0.138457\pi\) | |||||||
\(984\) | 2.96876 | + | 0.871706i | 0.0946405 | + | 0.0277890i | ||||
\(985\) | 8.02527 | + | 17.5729i | 0.255706 | + | 0.559919i | ||||
\(986\) | −0.612835 | − | 4.26236i | −0.0195167 | − | 0.135741i | ||||
\(987\) | 4.48948 | + | 2.88521i | 0.142902 | + | 0.0918373i | ||||
\(988\) | −13.0891 | −0.416420 | ||||||||
\(989\) | −6.37708 | + | 25.0974i | −0.202779 | + | 0.798050i | ||||
\(990\) | 2.20362 | 0.0700355 | ||||||||
\(991\) | −25.2861 | − | 16.2504i | −0.803238 | − | 0.516210i | 0.0734330 | − | 0.997300i | \(-0.476604\pi\) |
−0.876671 | + | 0.481090i | \(0.840241\pi\) | |||||||
\(992\) | 0.420002 | + | 2.92118i | 0.0133351 | + | 0.0927476i | ||||
\(993\) | −12.2461 | − | 26.8151i | −0.388617 | − | 0.850952i | ||||
\(994\) | −13.5394 | − | 3.97552i | −0.429443 | − | 0.126096i | ||||
\(995\) | 8.18420 | − | 17.9209i | 0.259457 | − | 0.568131i | ||||
\(996\) | 10.0667 | − | 11.6176i | 0.318977 | − | 0.368119i | ||||
\(997\) | −5.56416 | + | 38.6996i | −0.176219 | + | 1.22563i | 0.689197 | + | 0.724574i | \(0.257963\pi\) |
−0.865416 | + | 0.501054i | \(0.832946\pi\) | |||||||
\(998\) | 17.9973 | − | 5.28449i | 0.569695 | − | 0.167278i | ||||
\(999\) | 4.66709 | + | 5.38611i | 0.147660 | + | 0.170409i |
(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 | 690.2.m.b.301.1 | ✓ | 10 | |
23.12 | even | 11 | inner | 690.2.m.b.541.1 | yes | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.b.301.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
690.2.m.b.541.1 | yes | 10 | 23.12 | even | 11 | inner |