Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(55,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.i (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: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 8 x^{18} + 53 x^{16} + 358 x^{14} + 1753 x^{12} + 7149 x^{10} + 23268 x^{8} + 37292 x^{6} + \cdots + 58081 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 55.1 | ||
Root | \(-0.303441 - 2.11048i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 414.55 |
Dual form | 414.2.i.h.271.1 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.959493 | − | 0.281733i | 0.678464 | − | 0.199215i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | −0.0234248 | − | 0.162923i | −0.0104759 | − | 0.0728615i | 0.983913 | − | 0.178649i | \(-0.0571727\pi\) |
−0.994389 | + | 0.105788i | \(0.966264\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.32938 | − | 2.91093i | 0.502457 | − | 1.10023i | −0.473206 | − | 0.880952i | \(-0.656903\pi\) |
0.975663 | − | 0.219275i | \(-0.0703693\pi\) | |||||||
\(8\) | 0.654861 | − | 0.755750i | 0.231528 | − | 0.267198i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0683767 | − | 0.149724i | −0.0216226 | − | 0.0473469i | ||||
\(11\) | −0.321474 | − | 0.0943934i | −0.0969282 | − | 0.0284607i | 0.232909 | − | 0.972499i | \(-0.425176\pi\) |
−0.329837 | + | 0.944038i | \(0.606994\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.942704 | − | 2.06423i | −0.261459 | − | 0.572515i | 0.732686 | − | 0.680567i | \(-0.238266\pi\) |
−0.994145 | + | 0.108051i | \(0.965539\pi\) | |||||||
\(14\) | 0.455424 | − | 3.16754i | 0.121717 | − | 0.846561i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | 3.44273 | + | 2.21251i | 0.834984 | + | 0.536612i | 0.886858 | − | 0.462042i | \(-0.152883\pi\) |
−0.0518739 | + | 0.998654i | \(0.516519\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.09624 | − | 0.704511i | 0.251495 | − | 0.161626i | −0.408819 | − | 0.912615i | \(-0.634059\pi\) |
0.660314 | + | 0.750989i | \(0.270423\pi\) | |||||||
\(20\) | −0.107789 | − | 0.124395i | −0.0241024 | − | 0.0278156i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.335046 | −0.0714321 | ||||||||
\(23\) | −2.70351 | + | 3.96119i | −0.563721 | + | 0.825966i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.77147 | − | 1.40103i | 0.954294 | − | 0.280206i | ||||
\(26\) | −1.48608 | − | 1.71503i | −0.291444 | − | 0.336345i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.455424 | − | 3.16754i | −0.0860670 | − | 0.598609i | ||||
\(29\) | −1.71069 | − | 1.09939i | −0.317667 | − | 0.204152i | 0.372084 | − | 0.928199i | \(-0.378643\pi\) |
−0.689751 | + | 0.724047i | \(0.742280\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.206606 | + | 0.238436i | −0.0371075 | + | 0.0428243i | −0.774000 | − | 0.633186i | \(-0.781747\pi\) |
0.736892 | + | 0.676010i | \(0.236292\pi\) | |||||||
\(32\) | 0.142315 | − | 0.989821i | 0.0251579 | − | 0.174977i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.92661 | + | 1.15296i | 0.673408 | + | 0.197730i | ||||
\(35\) | −0.505398 | − | 0.148398i | −0.0854279 | − | 0.0250839i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.261437 | − | 1.81833i | 0.0429800 | − | 0.298932i | −0.956981 | − | 0.290149i | \(-0.906295\pi\) |
0.999961 | − | 0.00878316i | \(-0.00279580\pi\) | |||||||
\(38\) | 0.853352 | − | 0.984821i | 0.138432 | − | 0.159759i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.138469 | − | 0.0889887i | −0.0218939 | − | 0.0140704i | ||||
\(41\) | 1.06307 | + | 7.39384i | 0.166024 | + | 1.15472i | 0.887002 | + | 0.461765i | \(0.152784\pi\) |
−0.720978 | + | 0.692958i | \(0.756307\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.34856 | + | 1.55633i | 0.205654 | + | 0.237338i | 0.849202 | − | 0.528069i | \(-0.177084\pi\) |
−0.643548 | + | 0.765406i | \(0.722538\pi\) | |||||||
\(44\) | −0.321474 | + | 0.0943934i | −0.0484641 | + | 0.0142303i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.47800 | + | 4.56240i | −0.217919 | + | 0.672689i | ||||
\(47\) | −7.23723 | −1.05566 | −0.527829 | − | 0.849350i | \(-0.676994\pi\) | ||||
−0.527829 | + | 0.849350i | \(0.676994\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.12223 | − | 2.44919i | −0.303176 | − | 0.349884i | ||||
\(50\) | 4.18348 | − | 2.68856i | 0.591633 | − | 0.380219i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.90906 | − | 1.22688i | −0.264739 | − | 0.170138i | ||||
\(53\) | −5.41917 | + | 11.8663i | −0.744381 | + | 1.62997i | 0.0318305 | + | 0.999493i | \(0.489866\pi\) |
−0.776211 | + | 0.630473i | \(0.782861\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.00784839 | + | 0.0545868i | −0.00105828 | + | 0.00736048i | ||||
\(56\) | −1.32938 | − | 2.91093i | −0.177645 | − | 0.388989i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.95113 | − | 0.572903i | −0.256196 | − | 0.0752259i | ||||
\(59\) | −2.58317 | − | 5.65636i | −0.336300 | − | 0.736395i | 0.663632 | − | 0.748059i | \(-0.269014\pi\) |
−0.999932 | + | 0.0116646i | \(0.996287\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.20162 | + | 7.15706i | −0.794037 | + | 0.916367i | −0.998038 | − | 0.0626034i | \(-0.980060\pi\) |
0.204002 | + | 0.978971i | \(0.434605\pi\) | |||||||
\(62\) | −0.131062 | + | 0.286985i | −0.0166448 | + | 0.0364471i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | −0.314229 | + | 0.201943i | −0.0389753 | + | 0.0250479i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.68500 | + | 0.788387i | −0.328025 | + | 0.0963169i | −0.441599 | − | 0.897213i | \(-0.645588\pi\) |
0.113573 | + | 0.993530i | \(0.463770\pi\) | |||||||
\(68\) | 4.09238 | 0.496274 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.526734 | −0.0629568 | ||||||||
\(71\) | 4.09461 | − | 1.20229i | 0.485941 | − | 0.142685i | −0.0295796 | − | 0.999562i | \(-0.509417\pi\) |
0.515520 | + | 0.856877i | \(0.327599\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.66734 | + | 2.99952i | −0.546271 | + | 0.351067i | −0.784487 | − | 0.620145i | \(-0.787074\pi\) |
0.238216 | + | 0.971212i | \(0.423437\pi\) | |||||||
\(74\) | −0.261437 | − | 1.81833i | −0.0303914 | − | 0.211377i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.541329 | − | 1.18535i | 0.0620947 | − | 0.135968i | ||||
\(77\) | −0.702133 | + | 0.810304i | −0.0800154 | + | 0.0923427i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.47779 | + | 9.80499i | 0.503791 | + | 1.10315i | 0.975219 | + | 0.221243i | \(0.0710115\pi\) |
−0.471428 | + | 0.881905i | \(0.656261\pi\) | |||||||
\(80\) | −0.157931 | − | 0.0463728i | −0.0176572 | − | 0.00518463i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.10310 | + | 6.79483i | 0.342680 | + | 0.750364i | ||||
\(83\) | 1.67357 | − | 11.6399i | 0.183698 | − | 1.27765i | −0.664225 | − | 0.747532i | \(-0.731239\pi\) |
0.847924 | − | 0.530118i | \(-0.177852\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.279823 | − | 0.612728i | 0.0303511 | − | 0.0664597i | ||||
\(86\) | 1.73241 | + | 1.11335i | 0.186810 | + | 0.120056i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.281859 | + | 0.181140i | −0.0300462 | + | 0.0193095i | ||||
\(89\) | 8.17617 | + | 9.43580i | 0.866672 | + | 1.00019i | 0.999958 | + | 0.00911558i | \(0.00290162\pi\) |
−0.133286 | + | 0.991078i | \(0.542553\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.26204 | −0.761269 | ||||||||
\(92\) | −0.132754 | + | 4.79399i | −0.0138406 | + | 0.499808i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.94407 | + | 2.03896i | −0.716226 | + | 0.210303i | ||||
\(95\) | −0.140461 | − | 0.162100i | −0.0144109 | − | 0.0166311i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.90815 | + | 13.2715i | 0.193743 | + | 1.34751i | 0.821991 | + | 0.569501i | \(0.192864\pi\) |
−0.628247 | + | 0.778014i | \(0.716227\pi\) | |||||||
\(98\) | −2.72628 | − | 1.75208i | −0.275396 | − | 0.176986i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.25656 | − | 3.75827i | 0.325656 | − | 0.375827i | ||||
\(101\) | 0.459558 | − | 3.19630i | 0.0457278 | − | 0.318044i | −0.954100 | − | 0.299488i | \(-0.903184\pi\) |
0.999828 | − | 0.0185556i | \(-0.00590677\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.5026 | − | 3.67110i | −1.23192 | − | 0.361724i | −0.399945 | − | 0.916539i | \(-0.630971\pi\) |
−0.831974 | + | 0.554815i | \(0.812789\pi\) | |||||||
\(104\) | −2.17738 | − | 0.639338i | −0.213510 | − | 0.0626922i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.85653 | + | 12.9124i | −0.180322 | + | 1.25417i | ||||
\(107\) | 8.96709 | − | 10.3486i | 0.866882 | − | 1.00043i | −0.133075 | − | 0.991106i | \(-0.542485\pi\) |
0.999956 | − | 0.00932887i | \(-0.00296952\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.59727 | + | 4.23981i | 0.631904 | + | 0.406100i | 0.817014 | − | 0.576618i | \(-0.195628\pi\) |
−0.185110 | + | 0.982718i | \(0.559264\pi\) | |||||||
\(110\) | 0.00784839 | + | 0.0545868i | 0.000748315 | + | 0.00520465i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.09563 | − | 2.41849i | −0.198018 | − | 0.228525i | ||||
\(113\) | −5.33952 | + | 1.56783i | −0.502300 | + | 0.147489i | −0.523060 | − | 0.852296i | \(-0.675210\pi\) |
0.0207599 | + | 0.999784i | \(0.493391\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.708699 | + | 0.347674i | 0.0660866 | + | 0.0324208i | ||||
\(116\) | −2.03350 | −0.188806 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.07211 | − | 4.69947i | −0.374868 | − | 0.432621i | ||||
\(119\) | 11.0171 | − | 7.08028i | 1.00994 | − | 0.649048i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.15935 | − | 5.88636i | −0.832668 | − | 0.535124i | ||||
\(122\) | −3.93404 | + | 8.61434i | −0.356171 | + | 0.779906i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.0448997 | + | 0.312284i | −0.00403211 | + | 0.0280440i | ||||
\(125\) | −0.681915 | − | 1.49318i | −0.0609923 | − | 0.133555i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.97524 | − | 0.873610i | −0.264010 | − | 0.0775204i | 0.147048 | − | 0.989129i | \(-0.453023\pi\) |
−0.411059 | + | 0.911609i | \(0.634841\pi\) | |||||||
\(128\) | −0.415415 | − | 0.909632i | −0.0367178 | − | 0.0804009i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.244607 | + | 0.282291i | −0.0214534 | + | 0.0247586i | ||||
\(131\) | 3.14451 | − | 6.88551i | 0.274737 | − | 0.601590i | −0.721091 | − | 0.692840i | \(-0.756359\pi\) |
0.995828 | + | 0.0912504i | \(0.0290864\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.593465 | − | 4.12764i | −0.0514599 | − | 0.357912i | ||||
\(134\) | −2.35413 | + | 1.51290i | −0.203365 | + | 0.130695i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.92661 | − | 1.15296i | 0.336704 | − | 0.0988652i | ||||
\(137\) | −1.58993 | −0.135837 | −0.0679186 | − | 0.997691i | \(-0.521636\pi\) | ||||
−0.0679186 | + | 0.997691i | \(0.521636\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.21524 | −0.442351 | −0.221175 | − | 0.975234i | \(-0.570989\pi\) | ||||
−0.221175 | + | 0.975234i | \(0.570989\pi\) | |||||||
\(140\) | −0.505398 | + | 0.148398i | −0.0427139 | + | 0.0125419i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.59003 | − | 2.30717i | 0.301268 | − | 0.193613i | ||||
\(143\) | 0.108205 | + | 0.752583i | 0.00904857 | + | 0.0629342i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.139044 | + | 0.304464i | −0.0115470 | + | 0.0252844i | ||||
\(146\) | −3.63322 | + | 4.19296i | −0.300687 | + | 0.347012i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.763131 | − | 1.67102i | −0.0627290 | − | 0.137357i | ||||
\(149\) | 9.30410 | + | 2.73193i | 0.762222 | + | 0.223809i | 0.639666 | − | 0.768653i | \(-0.279073\pi\) |
0.122556 | + | 0.992462i | \(0.460891\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.19512 | + | 15.7551i | 0.585530 | + | 1.28213i | 0.938106 | + | 0.346349i | \(0.112579\pi\) |
−0.352575 | + | 0.935783i | \(0.614694\pi\) | |||||||
\(152\) | 0.185451 | − | 1.28984i | 0.0150421 | − | 0.104620i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.445402 | + | 0.975295i | −0.0358915 | + | 0.0785915i | ||||
\(155\) | 0.0436864 | + | 0.0280756i | 0.00350898 | + | 0.00225508i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.49407 | − | 4.81615i | 0.598092 | − | 0.384370i | −0.206283 | − | 0.978492i | \(-0.566137\pi\) |
0.804375 | + | 0.594122i | \(0.202500\pi\) | |||||||
\(158\) | 7.05879 | + | 8.14628i | 0.561568 | + | 0.648083i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.164599 | −0.0130127 | ||||||||
\(161\) | 7.93676 | + | 13.1356i | 0.625504 | + | 1.03523i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 22.6652 | − | 6.65511i | 1.77528 | − | 0.521268i | 0.780666 | − | 0.624949i | \(-0.214880\pi\) |
0.994611 | + | 0.103680i | \(0.0330619\pi\) | |||||||
\(164\) | 4.89172 | + | 5.64535i | 0.381979 | + | 0.440828i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.67357 | − | 11.6399i | −0.129894 | − | 0.903435i | ||||
\(167\) | −19.4159 | − | 12.4779i | −1.50245 | − | 0.965566i | −0.994562 | − | 0.104143i | \(-0.966790\pi\) |
−0.507888 | − | 0.861423i | \(-0.669574\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.14082 | − | 5.93282i | 0.395448 | − | 0.456371i | ||||
\(170\) | 0.0958632 | − | 0.666744i | 0.00735238 | − | 0.0511369i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.97590 | + | 0.580176i | 0.150661 | + | 0.0442380i | ||||
\(173\) | −16.1284 | − | 4.73572i | −1.22622 | − | 0.360050i | −0.396397 | − | 0.918079i | \(-0.629740\pi\) |
−0.829822 | + | 0.558029i | \(0.811558\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.26478 | − | 15.7519i | 0.171201 | − | 1.19073i | ||||
\(176\) | −0.219409 | + | 0.253211i | −0.0165385 | + | 0.0190865i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.5034 | + | 6.75009i | 0.787259 | + | 0.505941i | ||||
\(179\) | −2.81762 | − | 19.5970i | −0.210599 | − | 1.46475i | −0.771163 | − | 0.636637i | \(-0.780325\pi\) |
0.560564 | − | 0.828111i | \(-0.310584\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.85856 | + | 3.29896i | 0.212475 | + | 0.245210i | 0.851976 | − | 0.523581i | \(-0.175404\pi\) |
−0.639501 | + | 0.768791i | \(0.720859\pi\) | |||||||
\(182\) | −6.96788 | + | 2.04595i | −0.516494 | + | 0.151656i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.22325 | + | 4.63720i | 0.0901790 | + | 0.341859i | ||||
\(185\) | −0.302373 | −0.0222309 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.897903 | − | 1.03624i | −0.0656612 | − | 0.0757770i | ||||
\(188\) | −6.08835 | + | 3.91274i | −0.444038 | + | 0.285366i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.180440 | − | 0.115962i | −0.0130905 | − | 0.00841274i | ||||
\(191\) | −2.52499 | + | 5.52896i | −0.182702 | + | 0.400062i | −0.978717 | − | 0.205216i | \(-0.934210\pi\) |
0.796015 | + | 0.605277i | \(0.206938\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.46415 | − | 17.1385i | 0.177373 | − | 1.23366i | −0.685437 | − | 0.728132i | \(-0.740389\pi\) |
0.862811 | − | 0.505527i | \(-0.168702\pi\) | |||||||
\(194\) | 5.56987 | + | 12.1963i | 0.399893 | + | 0.875644i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.10947 | − | 0.913022i | −0.222105 | − | 0.0652158i | ||||
\(197\) | 1.86065 | + | 4.07425i | 0.132566 | + | 0.290278i | 0.964261 | − | 0.264954i | \(-0.0853567\pi\) |
−0.831695 | + | 0.555232i | \(0.812629\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.56996 | + | 1.81183i | −0.111291 | + | 0.128437i | −0.808662 | − | 0.588274i | \(-0.799808\pi\) |
0.697370 | + | 0.716711i | \(0.254353\pi\) | |||||||
\(200\) | 2.06582 | − | 4.52352i | 0.146076 | − | 0.319861i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.459558 | − | 3.19630i | −0.0323344 | − | 0.224891i | ||||
\(203\) | −5.47440 | + | 3.51819i | −0.384228 | + | 0.246928i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.17973 | − | 0.346399i | 0.0823956 | − | 0.0241935i | ||||
\(206\) | −13.0304 | −0.907873 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.26931 | −0.157348 | ||||||||
\(209\) | −0.418915 | + | 0.123004i | −0.0289769 | + | 0.00850839i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.43886 | + | 1.56736i | −0.167898 | + | 0.107902i | −0.621891 | − | 0.783104i | \(-0.713635\pi\) |
0.453993 | + | 0.891005i | \(0.349999\pi\) | |||||||
\(212\) | 1.85653 | + | 12.9124i | 0.127507 | + | 0.886829i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.68833 | − | 12.4557i | 0.388846 | − | 0.851455i | ||||
\(215\) | 0.221972 | − | 0.256169i | 0.0151383 | − | 0.0174706i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.419412 | + | 0.918385i | 0.0284716 | + | 0.0623440i | ||||
\(218\) | 7.52452 | + | 2.20940i | 0.509625 | + | 0.149639i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0229094 | + | 0.0501645i | 0.00154455 | + | 0.00338209i | ||||
\(221\) | 1.32166 | − | 9.19234i | 0.0889044 | − | 0.618343i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.44237 | − | 20.6759i | 0.632308 | − | 1.38456i | −0.273913 | − | 0.961755i | \(-0.588318\pi\) |
0.906220 | − | 0.422806i | \(-0.138955\pi\) | |||||||
\(224\) | −2.69211 | − | 1.73011i | −0.179874 | − | 0.115598i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.68153 | + | 3.00863i | −0.311411 | + | 0.200131i | ||||
\(227\) | 5.43659 | + | 6.27416i | 0.360839 | + | 0.416431i | 0.906921 | − | 0.421301i | \(-0.138427\pi\) |
−0.546081 | + | 0.837732i | \(0.683881\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −21.7085 | −1.43454 | −0.717269 | − | 0.696796i | \(-0.754608\pi\) | ||||
−0.717269 | + | 0.696796i | \(0.754608\pi\) | |||||||
\(230\) | 0.777943 | + | 0.133927i | 0.0512960 | + | 0.00883090i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.95113 | + | 0.572903i | −0.128098 | + | 0.0376129i | ||||
\(233\) | 17.1483 | + | 19.7902i | 1.12342 | + | 1.29650i | 0.950208 | + | 0.311617i | \(0.100871\pi\) |
0.173216 | + | 0.984884i | \(0.444584\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.169531 | + | 1.17911i | 0.0110590 | + | 0.0769168i | ||||
\(236\) | −5.23116 | − | 3.36186i | −0.340519 | − | 0.218839i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 8.57611 | − | 9.89736i | 0.555907 | − | 0.641551i | ||||
\(239\) | 3.35419 | − | 23.3289i | 0.216965 | − | 1.50902i | −0.532188 | − | 0.846626i | \(-0.678630\pi\) |
0.749153 | − | 0.662397i | \(-0.230461\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.76459 | + | 2.27989i | 0.500161 | + | 0.146861i | 0.522076 | − | 0.852899i | \(-0.325158\pi\) |
−0.0219142 | + | 0.999760i | \(0.506976\pi\) | |||||||
\(242\) | −10.4467 | − | 3.06743i | −0.671540 | − | 0.197182i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.34774 | + | 9.37375i | −0.0862803 | + | 0.600093i | ||||
\(245\) | −0.349316 | + | 0.403133i | −0.0223170 | + | 0.0257552i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.48771 | − | 1.59875i | −0.158289 | − | 0.101726i | ||||
\(248\) | 0.0448997 | + | 0.312284i | 0.00285114 | + | 0.0198301i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.07497 | − | 1.24058i | −0.0679871 | − | 0.0784614i | ||||
\(251\) | −27.3012 | + | 8.01637i | −1.72324 | + | 0.505989i | −0.985584 | − | 0.169189i | \(-0.945885\pi\) |
−0.737655 | + | 0.675177i | \(0.764067\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.24302 | − | 1.01823i | 0.0781479 | − | 0.0640155i | ||||
\(254\) | −3.10085 | −0.194565 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 25.0424 | − | 16.0938i | 1.56210 | − | 1.00390i | 0.580210 | − | 0.814467i | \(-0.302970\pi\) |
0.981893 | − | 0.189436i | \(-0.0606659\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.94549 | − | 3.17827i | −0.307298 | − | 0.197488i | ||||
\(260\) | −0.155168 | + | 0.339770i | −0.00962310 | + | 0.0210716i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.07726 | − | 7.49251i | 0.0665534 | − | 0.462889i | ||||
\(263\) | 2.27898 | + | 4.99028i | 0.140528 | + | 0.307714i | 0.966790 | − | 0.255573i | \(-0.0822640\pi\) |
−0.826262 | + | 0.563286i | \(0.809537\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.06024 | + | 0.604942i | 0.126560 | + | 0.0371613i | ||||
\(266\) | −1.73232 | − | 3.79324i | −0.106215 | − | 0.232579i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.83253 | + | 2.11485i | −0.111940 | + | 0.129185i | ||||
\(269\) | 8.82453 | − | 19.3230i | 0.538041 | − | 1.17815i | −0.424105 | − | 0.905613i | \(-0.639411\pi\) |
0.962147 | − | 0.272533i | \(-0.0878613\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.78129 | + | 12.3891i | 0.108205 | + | 0.752585i | 0.969608 | + | 0.244663i | \(0.0786773\pi\) |
−0.861403 | + | 0.507923i | \(0.830414\pi\) | |||||||
\(272\) | 3.44273 | − | 2.21251i | 0.208746 | − | 0.134153i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.52553 | + | 0.447936i | −0.0921607 | + | 0.0270608i | ||||
\(275\) | −1.66615 | −0.100473 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 27.3690 | 1.64444 | 0.822221 | − | 0.569168i | \(-0.192735\pi\) | ||||
0.822221 | + | 0.569168i | \(0.192735\pi\) | |||||||
\(278\) | −5.00398 | + | 1.46930i | −0.300119 | + | 0.0881229i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.443117 | + | 0.284774i | −0.0264813 | + | 0.0170185i | ||||
\(281\) | 2.94533 | + | 20.4852i | 0.175704 | + | 1.22205i | 0.866567 | + | 0.499061i | \(0.166321\pi\) |
−0.690863 | + | 0.722985i | \(0.742769\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.23295 | − | 20.2173i | 0.548842 | − | 1.20180i | −0.408479 | − | 0.912768i | \(-0.633941\pi\) |
0.957321 | − | 0.289028i | \(-0.0933322\pi\) | |||||||
\(284\) | 2.79460 | − | 3.22514i | 0.165829 | − | 0.191377i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.315849 | + | 0.691613i | 0.0186766 | + | 0.0408960i | ||||
\(287\) | 22.9361 | + | 6.73466i | 1.35388 | + | 0.397534i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.104865 | − | 0.229622i | −0.00616852 | − | 0.0135072i | ||||
\(290\) | −0.0476344 | + | 0.331304i | −0.00279719 | + | 0.0194549i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.30476 | + | 5.04671i | −0.134876 | + | 0.295336i | ||||
\(293\) | −12.8694 | − | 8.27063i | −0.751836 | − | 0.483176i | 0.107743 | − | 0.994179i | \(-0.465638\pi\) |
−0.859579 | + | 0.511003i | \(0.829274\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.861041 | + | 0.553358i | −0.0501318 | + | 0.0322177i | ||||
\(296\) | −1.20300 | − | 1.38834i | −0.0699230 | − | 0.0806954i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.69690 | 0.561726 | ||||||||
\(299\) | 10.7254 | + | 1.84644i | 0.620268 | + | 0.106783i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.32310 | − | 1.85663i | 0.364457 | − | 0.107014i | ||||
\(302\) | 11.3424 | + | 13.0898i | 0.652681 | + | 0.753234i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.185451 | − | 1.28984i | −0.0106363 | − | 0.0739774i | ||||
\(305\) | 1.31132 | + | 0.842736i | 0.0750861 | + | 0.0482549i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −16.8228 | + | 19.4145i | −0.960126 | + | 1.10804i | 0.0339568 | + | 0.999423i | \(0.489189\pi\) |
−0.994083 | + | 0.108622i | \(0.965356\pi\) | |||||||
\(308\) | −0.152588 | + | 1.06127i | −0.00869451 | + | 0.0604716i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.0498266 | + | 0.0146304i | 0.00282996 | + | 0.000830952i | ||||
\(311\) | −19.4228 | − | 5.70306i | −1.10137 | − | 0.323391i | −0.319972 | − | 0.947427i | \(-0.603674\pi\) |
−0.781395 | + | 0.624036i | \(0.785492\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.804173 | − | 5.59315i | 0.0454546 | − | 0.316143i | −0.954391 | − | 0.298560i | \(-0.903494\pi\) |
0.999845 | − | 0.0175833i | \(-0.00559724\pi\) | |||||||
\(314\) | 5.83364 | − | 6.73238i | 0.329211 | − | 0.379930i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 9.06794 | + | 5.82761i | 0.510111 | + | 0.327829i | ||||
\(317\) | −2.73866 | − | 19.0478i | −0.153818 | − | 1.06983i | −0.909743 | − | 0.415171i | \(-0.863722\pi\) |
0.755925 | − | 0.654658i | \(-0.227187\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.446167 | + | 0.514905i | 0.0249806 | + | 0.0288291i | ||||
\(320\) | −0.157931 | + | 0.0463728i | −0.00882862 | + | 0.00259232i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.3160 | + | 10.3675i | 0.630616 | + | 0.577758i | ||||
\(323\) | 5.33280 | 0.296725 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.39014 | − | 8.52867i | −0.409931 | − | 0.473086i | ||||
\(326\) | 19.8722 | − | 12.7711i | 1.10062 | − | 0.707323i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.28405 | + | 4.03852i | 0.346979 | + | 0.222990i | ||||
\(329\) | −9.62100 | + | 21.0671i | −0.530423 | + | 1.16146i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.87785 | + | 20.0159i | −0.158181 | + | 1.10017i | 0.743802 | + | 0.668400i | \(0.233020\pi\) |
−0.901983 | + | 0.431772i | \(0.857889\pi\) | |||||||
\(332\) | −4.88513 | − | 10.6969i | −0.268107 | − | 0.587071i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −22.1449 | − | 6.50232i | −1.21171 | − | 0.355791i | ||||
\(335\) | 0.191342 | + | 0.418981i | 0.0104541 | + | 0.0228914i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −18.2175 | + | 21.0241i | −0.992371 | + | 1.14526i | −0.00297825 | + | 0.999996i | \(0.500948\pi\) |
−0.989393 | + | 0.145262i | \(0.953597\pi\) | |||||||
\(338\) | 3.26111 | − | 7.14084i | 0.177381 | − | 0.388410i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.0958632 | − | 0.666744i | −0.00519891 | − | 0.0361592i | ||||
\(341\) | 0.0889252 | − | 0.0571488i | 0.00481557 | − | 0.00309478i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.5428 | − | 3.38926i | 0.623251 | − | 0.183003i | ||||
\(344\) | 2.05931 | 0.111031 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −16.8093 | −0.903673 | ||||||||
\(347\) | −20.2078 | + | 5.93355i | −1.08481 | + | 0.318530i | −0.774802 | − | 0.632204i | \(-0.782151\pi\) |
−0.310010 | + | 0.950733i | \(0.600332\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.3468 | + | 7.93479i | −0.660908 | + | 0.424740i | −0.827637 | − | 0.561263i | \(-0.810316\pi\) |
0.166730 | + | 0.986003i | \(0.446679\pi\) | |||||||
\(350\) | −2.26478 | − | 15.7519i | −0.121058 | − | 0.841974i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.139183 | + | 0.304769i | −0.00741849 | + | 0.0162442i | ||||
\(353\) | −6.35639 | + | 7.33567i | −0.338317 | + | 0.390438i | −0.899259 | − | 0.437417i | \(-0.855893\pi\) |
0.560942 | + | 0.827855i | \(0.310439\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.291796 | − | 0.638944i | −0.0154869 | − | 0.0339116i | ||||
\(356\) | 11.9796 | + | 3.51753i | 0.634918 | + | 0.186429i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.22460 | − | 18.0094i | −0.434684 | − | 0.951824i | ||||
\(359\) | 3.65264 | − | 25.4047i | 0.192779 | − | 1.34081i | −0.631830 | − | 0.775107i | \(-0.717696\pi\) |
0.824610 | − | 0.565702i | \(-0.191395\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.18748 | + | 15.7384i | −0.378288 | + | 0.828336i | ||||
\(362\) | 3.67219 | + | 2.35998i | 0.193006 | + | 0.124038i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.10922 | + | 3.92616i | −0.320210 | + | 0.205787i | ||||
\(365\) | 0.598023 | + | 0.690155i | 0.0313019 | + | 0.0361244i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −14.7857 | −0.771805 | −0.385902 | − | 0.922540i | \(-0.626110\pi\) | ||||
−0.385902 | + | 0.922540i | \(0.626110\pi\) | |||||||
\(368\) | 2.48015 | + | 4.10474i | 0.129287 | + | 0.213974i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.290125 | + | 0.0851883i | −0.0150829 | + | 0.00442873i | ||||
\(371\) | 27.3379 | + | 31.5496i | 1.41931 | + | 1.63798i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.405472 | + | 2.82012i | 0.0209945 | + | 0.146020i | 0.997622 | − | 0.0689171i | \(-0.0219544\pi\) |
−0.976628 | + | 0.214937i | \(0.931045\pi\) | |||||||
\(374\) | −1.15347 | − | 0.741292i | −0.0596446 | − | 0.0383313i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.73938 | + | 5.46953i | −0.244415 | + | 0.282070i | ||||
\(377\) | −0.656731 | + | 4.56767i | −0.0338234 | + | 0.235247i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.39569 | − | 0.703438i | −0.123058 | − | 0.0361332i | 0.219624 | − | 0.975585i | \(-0.429517\pi\) |
−0.342682 | + | 0.939452i | \(0.611335\pi\) | |||||||
\(380\) | −0.205801 | − | 0.0604286i | −0.0105574 | − | 0.00309992i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.865024 | + | 6.01637i | −0.0442585 | + | 0.307824i | ||||
\(383\) | −4.81630 | + | 5.55830i | −0.246101 | + | 0.284016i | −0.865338 | − | 0.501188i | \(-0.832897\pi\) |
0.619237 | + | 0.785204i | \(0.287442\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.148465 | + | 0.0954125i | 0.00756646 | + | 0.00486267i | ||||
\(386\) | −2.46415 | − | 17.1385i | −0.125422 | − | 0.872329i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.78034 | + | 10.1331i | 0.445754 | + | 0.514428i | ||||
\(389\) | −31.3792 | + | 9.21377i | −1.59099 | + | 0.467156i | −0.953020 | − | 0.302906i | \(-0.902043\pi\) |
−0.637968 | + | 0.770063i | \(0.720225\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.0716 | + | 7.65577i | −0.913921 | + | 0.387169i | ||||
\(392\) | −3.24074 | −0.163682 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.93313 | + | 3.38501i | 0.147769 | + | 0.170534i | ||||
\(395\) | 1.49257 | − | 0.959216i | 0.0750993 | − | 0.0482634i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −23.0583 | − | 14.8187i | −1.15726 | − | 0.743728i | −0.186191 | − | 0.982514i | \(-0.559614\pi\) |
−0.971072 | + | 0.238786i | \(0.923251\pi\) | |||||||
\(398\) | −0.995913 | + | 2.18075i | −0.0499206 | + | 0.109311i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.707718 | − | 4.92229i | 0.0353859 | − | 0.246115i | ||||
\(401\) | 6.07478 | + | 13.3019i | 0.303360 | + | 0.664266i | 0.998508 | − | 0.0546003i | \(-0.0173885\pi\) |
−0.695148 | + | 0.718867i | \(0.744661\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.686955 | + | 0.201708i | 0.0342197 | + | 0.0100478i | ||||
\(404\) | −1.34144 | − | 2.93735i | −0.0667394 | − | 0.146139i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.26146 | + | 4.91799i | −0.211493 | + | 0.244076i | ||||
\(407\) | −0.255684 | + | 0.559870i | −0.0126738 | + | 0.0277517i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.19133 | + | 15.2410i | 0.108354 | + | 0.753620i | 0.969470 | + | 0.245211i | \(0.0788572\pi\) |
−0.861116 | + | 0.508409i | \(0.830234\pi\) | |||||||
\(410\) | 1.03435 | − | 0.664734i | 0.0510827 | − | 0.0328289i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −12.5026 | + | 3.67110i | −0.615959 | + | 0.180862i | ||||
\(413\) | −19.8992 | −0.979178 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.93562 | −0.0950159 | ||||||||
\(416\) | −2.17738 | + | 0.639338i | −0.106755 | + | 0.0313461i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.367291 | + | 0.236044i | −0.0179648 | + | 0.0115453i | ||||
\(419\) | 1.04616 | + | 7.27619i | 0.0511081 | + | 0.355465i | 0.999288 | + | 0.0377307i | \(0.0120129\pi\) |
−0.948180 | + | 0.317734i | \(0.897078\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.3111 | + | 22.5782i | −0.502533 | + | 1.10039i | 0.473105 | + | 0.881006i | \(0.343133\pi\) |
−0.975638 | + | 0.219388i | \(0.929594\pi\) | |||||||
\(422\) | −1.89849 | + | 2.19098i | −0.0924173 | + | 0.106655i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.41917 | + | 11.8663i | 0.263178 | + | 0.576280i | ||||
\(425\) | 19.5267 | + | 5.73355i | 0.947182 | + | 0.278118i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.5894 | + | 27.5669i | 0.609243 | + | 1.33406i | ||||
\(428\) | 1.94874 | − | 13.5538i | 0.0941957 | − | 0.655146i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.140809 | − | 0.308329i | 0.00679042 | − | 0.0148689i | ||||
\(431\) | 15.1697 | + | 9.74895i | 0.730697 | + | 0.469590i | 0.852343 | − | 0.522983i | \(-0.175181\pi\) |
−0.121646 | + | 0.992574i | \(0.538817\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 22.1161 | − | 14.2131i | 1.06283 | − | 0.683039i | 0.112301 | − | 0.993674i | \(-0.464178\pi\) |
0.950529 | + | 0.310635i | \(0.100542\pi\) | |||||||
\(434\) | 0.661162 | + | 0.763022i | 0.0317368 | + | 0.0366262i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.84219 | 0.375573 | ||||||||
\(437\) | −0.172993 | + | 6.24707i | −0.00827536 | + | 0.298838i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.06867 | + | 2.07555i | −0.337369 | + | 0.0990606i | −0.446029 | − | 0.895018i | \(-0.647162\pi\) |
0.108660 | + | 0.994079i | \(0.465344\pi\) | |||||||
\(440\) | 0.0361143 | + | 0.0416782i | 0.00172168 | + | 0.00198693i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.32166 | − | 9.19234i | −0.0628649 | − | 0.437235i | ||||
\(443\) | −8.42814 | − | 5.41644i | −0.400433 | − | 0.257343i | 0.324889 | − | 0.945752i | \(-0.394673\pi\) |
−0.725322 | + | 0.688409i | \(0.758309\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.34579 | − | 1.55312i | 0.0637964 | − | 0.0736249i | ||||
\(446\) | 3.23481 | − | 22.4986i | 0.153173 | − | 1.06534i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −3.07049 | − | 0.901577i | −0.145067 | − | 0.0425955i | ||||
\(449\) | −10.1015 | − | 2.96608i | −0.476721 | − | 0.139978i | 0.0345404 | − | 0.999403i | \(-0.489003\pi\) |
−0.511261 | + | 0.859426i | \(0.670821\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.356178 | − | 2.47728i | 0.0167718 | − | 0.116650i | ||||
\(452\) | −3.64426 | + | 4.20570i | −0.171412 | + | 0.197820i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.98401 | + | 4.48835i | 0.327776 | + | 0.210649i | ||||
\(455\) | 0.170112 | + | 1.18316i | 0.00797498 | + | 0.0554672i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.48806 | − | 5.17950i | −0.209943 | − | 0.242287i | 0.641006 | − | 0.767536i | \(-0.278518\pi\) |
−0.850948 | + | 0.525249i | \(0.823972\pi\) | |||||||
\(458\) | −20.8292 | + | 6.11599i | −0.973282 | + | 0.285782i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.784163 | − | 0.0906697i | 0.0365618 | − | 0.00422750i | ||||
\(461\) | −37.9395 | −1.76702 | −0.883510 | − | 0.468413i | \(-0.844826\pi\) | ||||
−0.883510 | + | 0.468413i | \(0.844826\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.79167 | + | 5.52988i | 0.222688 | + | 0.256995i | 0.856089 | − | 0.516828i | \(-0.172887\pi\) |
−0.633402 | + | 0.773823i | \(0.718342\pi\) | |||||||
\(464\) | −1.71069 | + | 1.09939i | −0.0794168 | + | 0.0510381i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 22.0292 | + | 14.1573i | 1.02049 | + | 0.655826i | ||||
\(467\) | −12.9128 | + | 28.2750i | −0.597532 | + | 1.30841i | 0.333250 | + | 0.942839i | \(0.391855\pi\) |
−0.930782 | + | 0.365575i | \(0.880873\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.27444 | + | 8.86391i | −0.0588480 | + | 0.409297i | ||||
\(470\) | 0.494858 | + | 1.08359i | 0.0228261 | + | 0.0499822i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −5.96641 | − | 1.75189i | −0.274626 | − | 0.0806375i | ||||
\(473\) | −0.286622 | − | 0.627614i | −0.0131789 | − | 0.0288577i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.24364 | − | 4.89742i | 0.194712 | − | 0.224709i | ||||
\(476\) | 5.44031 | − | 11.9126i | 0.249356 | − | 0.546014i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.35419 | − | 23.3289i | −0.153417 | − | 1.06704i | ||||
\(479\) | 8.83773 | − | 5.67966i | 0.403806 | − | 0.259510i | −0.322936 | − | 0.946421i | \(-0.604670\pi\) |
0.726742 | + | 0.686910i | \(0.241034\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.99992 | + | 1.17448i | −0.182381 | + | 0.0535518i | ||||
\(482\) | 8.09239 | 0.368598 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.8877 | −0.494897 | ||||||||
\(485\) | 2.11753 | − | 0.621764i | 0.0961523 | − | 0.0282329i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.0482 | − | 10.3136i | 0.727214 | − | 0.467352i | −0.123926 | − | 0.992292i | \(-0.539548\pi\) |
0.851140 | + | 0.524940i | \(0.175912\pi\) | |||||||
\(488\) | 1.34774 | + | 9.37375i | 0.0610094 | + | 0.424330i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.221591 | + | 0.485217i | −0.0100105 | + | 0.0219199i | ||||
\(491\) | −10.7526 | + | 12.4091i | −0.485257 | + | 0.560016i | −0.944592 | − | 0.328247i | \(-0.893542\pi\) |
0.459335 | + | 0.888263i | \(0.348088\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.45702 | − | 7.56983i | −0.155697 | − | 0.340928i | ||||
\(494\) | −2.83736 | − | 0.833124i | −0.127659 | − | 0.0374840i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.131062 | + | 0.286985i | 0.00588484 | + | 0.0128860i | ||||
\(497\) | 1.94351 | − | 13.5174i | 0.0871783 | − | 0.606338i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.32422 | − | 16.0378i | 0.327877 | − | 0.717951i | −0.671865 | − | 0.740674i | \(-0.734506\pi\) |
0.999742 | + | 0.0227230i | \(0.00723357\pi\) | |||||||
\(500\) | −1.38094 | − | 0.887476i | −0.0617575 | − | 0.0396891i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −23.9369 | + | 15.3833i | −1.06836 | + | 0.686590i | ||||
\(503\) | 11.9472 | + | 13.7878i | 0.532697 | + | 0.614766i | 0.956764 | − | 0.290865i | \(-0.0939432\pi\) |
−0.424067 | + | 0.905631i | \(0.639398\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.531516 | −0.0236522 | ||||||||
\(506\) | 0.905800 | − | 1.32718i | 0.0402677 | − | 0.0590004i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.97524 | + | 0.873610i | −0.132005 | + | 0.0387602i | ||||
\(509\) | 5.35907 | + | 6.18470i | 0.237537 | + | 0.274132i | 0.861985 | − | 0.506935i | \(-0.169221\pi\) |
−0.624448 | + | 0.781066i | \(0.714676\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.52673 | + | 17.5738i | 0.111776 | + | 0.777418i | ||||
\(512\) | −0.841254 | − | 0.540641i | −0.0371785 | − | 0.0238932i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 19.4939 | − | 22.4971i | 0.859838 | − | 0.992306i | ||||
\(515\) | −0.305236 | + | 2.12296i | −0.0134503 | + | 0.0935488i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.32658 | + | 0.683147i | 0.102323 | + | 0.0300448i | ||||
\(518\) | −5.64059 | − | 1.65623i | −0.247833 | − | 0.0727704i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.0531581 | + | 0.369723i | −0.00233114 | + | 0.0162134i | ||||
\(521\) | 4.84974 | − | 5.59690i | 0.212471 | − | 0.245204i | −0.639503 | − | 0.768788i | \(-0.720860\pi\) |
0.851974 | + | 0.523584i | \(0.175405\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −29.8969 | − | 19.2136i | −1.30730 | − | 0.840152i | −0.313315 | − | 0.949649i | \(-0.601440\pi\) |
−0.993987 | + | 0.109497i | \(0.965076\pi\) | |||||||
\(524\) | −1.07726 | − | 7.49251i | −0.0470603 | − | 0.327312i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.59259 | + | 4.14607i | 0.156644 | + | 0.180777i | ||||
\(527\) | −1.23883 | + | 0.363753i | −0.0539642 | + | 0.0158453i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.38208 | − | 21.4182i | −0.364438 | − | 0.931228i | ||||
\(530\) | 2.14722 | 0.0932694 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.73082 | − | 3.15154i | −0.118396 | − | 0.136637i | ||||
\(533\) | 14.2604 | − | 9.16463i | 0.617688 | − | 0.396964i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.89608 | − | 1.21853i | −0.0819745 | − | 0.0526818i | ||||
\(536\) | −1.16248 | + | 2.54547i | −0.0502114 | + | 0.109948i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.02315 | − | 21.0265i | 0.130337 | − | 0.906515i | ||||
\(539\) | 0.451056 | + | 0.987675i | 0.0194284 | + | 0.0425422i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.8495 | + | 4.36020i | 0.638429 | + | 0.187460i | 0.584898 | − | 0.811107i | \(-0.301134\pi\) |
0.0535305 | + | 0.998566i | \(0.482953\pi\) | |||||||
\(542\) | 5.19955 | + | 11.3854i | 0.223340 | + | 0.489046i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.67994 | − | 3.09281i | 0.114901 | − | 0.132603i | ||||
\(545\) | 0.536223 | − | 1.17416i | 0.0229693 | − | 0.0502957i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.80947 | − | 12.5851i | −0.0773672 | − | 0.538101i | −0.991237 | − | 0.132094i | \(-0.957830\pi\) |
0.913870 | − | 0.406007i | \(-0.133079\pi\) | |||||||
\(548\) | −1.33754 | + | 0.859584i | −0.0571368 | + | 0.0367196i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.59866 | + | 0.469410i | −0.0681672 | + | 0.0200157i | ||||
\(551\) | −2.64986 | −0.112888 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 34.4943 | 1.46685 | ||||||||
\(554\) | 26.2603 | − | 7.71073i | 1.11570 | − | 0.327598i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.38734 | + | 2.81957i | −0.186065 | + | 0.119576i | ||||
\(557\) | −4.91802 | − | 34.2056i | −0.208383 | − | 1.44934i | −0.778434 | − | 0.627727i | \(-0.783985\pi\) |
0.570050 | − | 0.821610i | \(-0.306924\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.94132 | − | 4.25091i | 0.0821093 | − | 0.179794i | ||||
\(560\) | −0.344938 | + | 0.398079i | −0.0145763 | + | 0.0168219i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.59738 | + | 18.8256i | 0.362658 | + | 0.794111i | ||||
\(563\) | 28.2881 | + | 8.30614i | 1.19220 | + | 0.350062i | 0.816866 | − | 0.576827i | \(-0.195709\pi\) |
0.375335 | + | 0.926889i | \(0.377528\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.380512 | + | 0.833206i | 0.0160083 | + | 0.0350532i | ||||
\(566\) | 3.16307 | − | 21.9996i | 0.132954 | − | 0.924713i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.77277 | − | 3.88183i | 0.0743838 | − | 0.162878i | ||||
\(569\) | 24.4009 | + | 15.6815i | 1.02294 | + | 0.657403i | 0.940710 | − | 0.339211i | \(-0.110160\pi\) |
0.0822282 | + | 0.996614i | \(0.473796\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.6739 | − | 10.7156i | 0.697779 | − | 0.448435i | −0.143065 | − | 0.989713i | \(-0.545696\pi\) |
0.840844 | + | 0.541278i | \(0.182059\pi\) | |||||||
\(572\) | 0.497905 | + | 0.574613i | 0.0208185 | + | 0.0240258i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 23.9044 | 0.997752 | ||||||||
\(575\) | −7.34996 | + | 22.6884i | −0.306515 | + | 0.946172i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.52111 | − | 0.446639i | 0.0633248 | − | 0.0185938i | −0.249917 | − | 0.968267i | \(-0.580403\pi\) |
0.313242 | + | 0.949673i | \(0.398585\pi\) | |||||||
\(578\) | −0.165309 | − | 0.190777i | −0.00687595 | − | 0.00793526i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.0476344 | + | 0.331304i | 0.00197791 | + | 0.0137567i | ||||
\(581\) | −31.6582 | − | 20.3455i | −1.31341 | − | 0.844074i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.86223 | − | 3.30319i | 0.118541 | − | 0.136804i | ||||
\(584\) | −0.789574 | + | 5.49161i | −0.0326728 | + | 0.227244i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.6782 | − | 4.30990i | −0.606349 | − | 0.178040i | ||||
\(587\) | −16.3825 | − | 4.81034i | −0.676179 | − | 0.198544i | −0.0744261 | − | 0.997227i | \(-0.523712\pi\) |
−0.601753 | + | 0.798683i | \(0.705531\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.0585090 | + | 0.406939i | −0.00241082 | + | 0.0167676i | ||||
\(590\) | −0.670264 | + | 0.773526i | −0.0275943 | + | 0.0318456i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.54541 | − | 0.993175i | −0.0635159 | − | 0.0408192i | ||||
\(593\) | −2.18001 | − | 15.1623i | −0.0895225 | − | 0.622642i | −0.984349 | − | 0.176229i | \(-0.943610\pi\) |
0.894827 | − | 0.446414i | \(-0.147299\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.41162 | − | 1.62909i | −0.0578706 | − | 0.0667862i | ||||
\(596\) | 9.30410 | − | 2.73193i | 0.381111 | − | 0.111904i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 10.8112 | − | 1.25006i | 0.442102 | − | 0.0511186i | ||||
\(599\) | −43.3961 | −1.77312 | −0.886558 | − | 0.462617i | \(-0.846911\pi\) | ||||
−0.886558 | + | 0.462617i | \(0.846911\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.36193 | − | 8.49612i | −0.300299 | − | 0.346564i | 0.585466 | − | 0.810697i | \(-0.300911\pi\) |
−0.885766 | + | 0.464133i | \(0.846366\pi\) | |||||||
\(602\) | 5.54390 | − | 3.56285i | 0.225952 | − | 0.145211i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 14.5708 | + | 9.36407i | 0.592876 | + | 0.381019i | ||||
\(605\) | −0.744468 | + | 1.63016i | −0.0302669 | + | 0.0662754i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.97761 | + | 20.7097i | −0.120858 | + | 0.840583i | 0.835731 | + | 0.549140i | \(0.185044\pi\) |
−0.956588 | + | 0.291443i | \(0.905865\pi\) | |||||||
\(608\) | −0.541329 | − | 1.18535i | −0.0219538 | − | 0.0480721i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.49563 | + | 0.439157i | 0.0605563 | + | 0.0177809i | ||||
\(611\) | 6.82257 | + | 14.9393i | 0.276012 | + | 0.604381i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 27.7383 | − | 32.0117i | 1.12034 | − | 1.29294i | 0.168717 | − | 0.985664i | \(-0.446038\pi\) |
0.951621 | − | 0.307275i | \(-0.0994170\pi\) | |||||||
\(614\) | −10.6716 | + | 23.3676i | −0.430672 | + | 0.943040i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.152588 | + | 1.06127i | 0.00614795 | + | 0.0427599i | ||||
\(617\) | 24.4065 | − | 15.6851i | 0.982571 | − | 0.631460i | 0.0524150 | − | 0.998625i | \(-0.483308\pi\) |
0.930156 | + | 0.367166i | \(0.119672\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.5623 | − | 6.62489i | 0.906855 | − | 0.266277i | 0.205139 | − | 0.978733i | \(-0.434236\pi\) |
0.701716 | + | 0.712456i | \(0.252417\pi\) | |||||||
\(620\) | 0.0519302 | 0.00208557 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −20.2428 | −0.811662 | ||||||||
\(623\) | 38.3361 | − | 11.2565i | 1.53591 | − | 0.450982i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 20.6901 | − | 13.2967i | 0.827603 | − | 0.531868i | ||||
\(626\) | −0.804173 | − | 5.59315i | −0.0321412 | − | 0.223547i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.70061 | − | 8.10320i | 0.147670 | − | 0.323353i | ||||
\(629\) | 4.92313 | − | 5.68160i | 0.196298 | − | 0.226540i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.7263 | − | 23.4874i | −0.427009 | − | 0.935018i | −0.993803 | − | 0.111159i | \(-0.964544\pi\) |
0.566794 | − | 0.823859i | \(-0.308184\pi\) | |||||||
\(632\) | 10.3424 | + | 3.03682i | 0.411401 | + | 0.120798i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.99410 | − | 17.5046i | −0.317486 | − | 0.695198i | ||||
\(635\) | −0.0726368 | + | 0.505200i | −0.00288251 | + | 0.0200483i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.05506 | + | 6.68964i | −0.121046 | + | 0.265053i | ||||
\(638\) | 0.573160 | + | 0.368347i | 0.0226916 | + | 0.0145830i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.138469 | + | 0.0889887i | −0.00547347 | + | 0.00351759i | ||||
\(641\) | 9.35718 | + | 10.7988i | 0.369586 | + | 0.426526i | 0.909829 | − | 0.414984i | \(-0.136213\pi\) |
−0.540242 | + | 0.841510i | \(0.681667\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.97463 | −0.353925 | −0.176962 | − | 0.984218i | \(-0.556627\pi\) | ||||
−0.176962 | + | 0.984218i | \(0.556627\pi\) | |||||||
\(644\) | 13.7785 | + | 6.75946i | 0.542948 | + | 0.266360i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.11678 | − | 1.50242i | 0.201317 | − | 0.0591120i | ||||
\(647\) | 0.925440 | + | 1.06801i | 0.0363828 | + | 0.0419880i | 0.773649 | − | 0.633614i | \(-0.218429\pi\) |
−0.737267 | + | 0.675602i | \(0.763884\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.296501 | + | 2.06221i | 0.0116387 | + | 0.0809487i | ||||
\(650\) | −9.49359 | − | 6.10116i | −0.372369 | − | 0.239307i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 15.4692 | − | 17.8524i | 0.605819 | − | 0.699153i | ||||
\(653\) | 4.66126 | − | 32.4198i | 0.182409 | − | 1.26868i | −0.668635 | − | 0.743591i | \(-0.733121\pi\) |
0.851044 | − | 0.525094i | \(-0.175970\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.19547 | − | 0.351021i | −0.0467108 | − | 0.0137155i | ||||
\(656\) | 7.16729 | + | 2.10451i | 0.279836 | + | 0.0821671i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.29601 | + | 22.9242i | −0.128492 | + | 0.893680i | ||||
\(659\) | 2.73057 | − | 3.15124i | 0.106368 | − | 0.122755i | −0.700069 | − | 0.714075i | \(-0.746848\pi\) |
0.806437 | + | 0.591320i | \(0.201393\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.0887 | + | 10.9823i | 0.664674 | + | 0.427160i | 0.829002 | − | 0.559246i | \(-0.188909\pi\) |
−0.164328 | + | 0.986406i | \(0.552546\pi\) | |||||||
\(662\) | 2.87785 | + | 20.0159i | 0.111851 | + | 0.777939i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.70093 | − | 8.88735i | −0.298854 | − | 0.344896i | ||||
\(665\) | −0.658586 | + | 0.193378i | −0.0255389 | + | 0.00749889i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.97977 | − | 3.80415i | 0.347698 | − | 0.147297i | ||||
\(668\) | −23.0798 | −0.892983 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.301632 | + | 0.348102i | 0.0116531 | + | 0.0134484i | ||||
\(671\) | 2.66924 | − | 1.71542i | 0.103045 | − | 0.0662230i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −34.1127 | − | 21.9229i | −1.31495 | − | 0.845065i | −0.320192 | − | 0.947353i | \(-0.603747\pi\) |
−0.994755 | + | 0.102288i | \(0.967384\pi\) | |||||||
\(674\) | −11.5564 | + | 25.3050i | −0.445136 | + | 0.974711i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.11721 | − | 7.77034i | 0.0429695 | − | 0.298859i | ||||
\(677\) | −14.8680 | − | 32.5564i | −0.571425 | − | 1.25125i | −0.946035 | − | 0.324063i | \(-0.894951\pi\) |
0.374611 | − | 0.927182i | \(-0.377776\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 41.1690 | + | 12.0883i | 1.57992 | + | 0.463906i | ||||
\(680\) | −0.279823 | − | 0.612728i | −0.0107307 | − | 0.0234970i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.0692224 | − | 0.0798870i | 0.00265066 | − | 0.00305903i | ||||
\(683\) | 6.82062 | − | 14.9351i | 0.260984 | − | 0.571475i | −0.733096 | − | 0.680125i | \(-0.761925\pi\) |
0.994080 | + | 0.108650i | \(0.0346528\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.0372439 | + | 0.259037i | 0.00142302 | + | 0.00989731i | ||||
\(686\) | 10.1203 | − | 6.50395i | 0.386396 | − | 0.248322i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.97590 | − | 0.580176i | 0.0753304 | − | 0.0221190i | ||||
\(689\) | 29.6036 | 1.12781 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −39.3617 | −1.49739 | −0.748696 | − | 0.662914i | \(-0.769320\pi\) | ||||
−0.748696 | + | 0.662914i | \(0.769320\pi\) | |||||||
\(692\) | −16.1284 | + | 4.73572i | −0.613109 | + | 0.180025i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −17.7176 | + | 11.3864i | −0.672550 | + | 0.432222i | ||||
\(695\) | 0.122166 | + | 0.849683i | 0.00463402 | + | 0.0322303i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.6990 | + | 27.8070i | −0.481011 | + | 1.05327i | ||||
\(698\) | −9.61115 | + | 11.0919i | −0.363788 | + | 0.419833i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −6.61086 | − | 14.4758i | −0.249867 | − | 0.547133i | ||||
\(701\) | 2.73549 | + | 0.803213i | 0.103318 | + | 0.0303369i | 0.332983 | − | 0.942933i | \(-0.391945\pi\) |
−0.229665 | + | 0.973270i | \(0.573763\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.994439 | − | 2.17752i | −0.0375060 | − | 0.0821266i | ||||
\(704\) | −0.0476820 | + | 0.331636i | −0.00179708 | + | 0.0124990i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.03222 | + | 8.82932i | −0.151755 | + | 0.332296i | ||||
\(707\) | −8.69327 | − | 5.58682i | −0.326944 | − | 0.210114i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 31.5060 | − | 20.2477i | 1.18323 | − | 0.760418i | 0.207256 | − | 0.978287i | \(-0.433547\pi\) |
0.975978 | + | 0.217869i | \(0.0699104\pi\) | |||||||
\(710\) | −0.459987 | − | 0.530853i | −0.0172630 | − | 0.0199226i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.4854 | 0.467909 | ||||||||
\(713\) | −0.385929 | − | 1.46302i | −0.0144532 | − | 0.0547905i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.120079 | − | 0.0352583i | 0.00449068 | − | 0.00131858i | ||||
\(716\) | −12.9653 | − | 14.9627i | −0.484535 | − | 0.559183i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.65264 | − | 25.4047i | −0.136315 | − | 0.948095i | ||||
\(719\) | 30.8866 | + | 19.8496i | 1.15188 | + | 0.740266i | 0.970012 | − | 0.243058i | \(-0.0781505\pi\) |
0.181864 | + | 0.983324i | \(0.441787\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −27.3070 | + | 31.5139i | −1.01696 | + | 1.17364i | ||||
\(722\) | −2.46232 | + | 17.1258i | −0.0916381 | + | 0.637357i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 4.18833 | + | 1.22980i | 0.155658 | + | 0.0457053i | ||||
\(725\) | −9.70279 | − | 2.84900i | −0.360352 | − | 0.105809i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.50409 | − | 31.3267i | 0.167048 | − | 1.16184i | −0.717899 | − | 0.696148i | \(-0.754896\pi\) |
0.884946 | − | 0.465693i | \(-0.154195\pi\) | |||||||
\(728\) | −4.75563 | + | 5.48829i | −0.176255 | + | 0.203409i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.768238 | + | 0.493717i | 0.0284338 | + | 0.0182733i | ||||
\(731\) | 1.19936 | + | 8.34172i | 0.0443598 | + | 0.308530i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −20.7193 | − | 23.9114i | −0.765287 | − | 0.883188i | 0.230669 | − | 0.973032i | \(-0.425908\pi\) |
−0.995956 | + | 0.0898444i | \(0.971363\pi\) | |||||||
\(734\) | −14.1867 | + | 4.16560i | −0.523642 | + | 0.153755i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.53612 | + | 3.23973i | 0.130343 | + | 0.119418i | ||||
\(737\) | 0.937577 | 0.0345361 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 14.5512 | + | 16.7930i | 0.535276 | + | 0.617741i | 0.957389 | − | 0.288802i | \(-0.0932569\pi\) |
−0.422113 | + | 0.906543i | \(0.638711\pi\) | |||||||
\(740\) | −0.254372 | + | 0.163475i | −0.00935091 | + | 0.00600947i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 35.1191 | + | 22.5697i | 1.28926 | + | 0.828559i | ||||
\(743\) | −19.2474 | + | 42.1459i | −0.706119 | + | 1.54618i | 0.126272 | + | 0.991996i | \(0.459699\pi\) |
−0.832391 | + | 0.554189i | \(0.813029\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.227148 | − | 1.57985i | 0.00832206 | − | 0.0578812i | ||||
\(746\) | 1.18357 | + | 2.59165i | 0.0433334 | + | 0.0948870i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.31559 | − | 0.386293i | −0.0481029 | − | 0.0141243i | ||||
\(749\) | −18.2033 | − | 39.8597i | −0.665135 | − | 1.45644i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.39499 | − | 8.53428i | 0.269847 | − | 0.311420i | −0.604611 | − | 0.796521i | \(-0.706672\pi\) |
0.874458 | + | 0.485100i | \(0.161217\pi\) | |||||||
\(752\) | −3.00645 | + | 6.58322i | −0.109634 | + | 0.240065i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.656731 | + | 4.56767i | 0.0239167 | + | 0.166345i | ||||
\(755\) | 2.39833 | − | 1.54131i | 0.0872841 | − | 0.0560941i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −31.2231 | + | 9.16792i | −1.13482 | + | 0.333214i | −0.794601 | − | 0.607132i | \(-0.792320\pi\) |
−0.340221 | + | 0.940346i | \(0.610502\pi\) | |||||||
\(758\) | −2.49683 | −0.0906888 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.214489 | −0.00778034 | ||||||||
\(761\) | 17.0976 | − | 5.02030i | 0.619786 | − | 0.181986i | 0.0432593 | − | 0.999064i | \(-0.486226\pi\) |
0.576527 | + | 0.817078i | \(0.304408\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 21.1120 | − | 13.5679i | 0.764306 | − | 0.491190i | ||||
\(764\) | 0.865024 | + | 6.01637i | 0.0312955 | + | 0.217665i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.05525 | + | 6.69006i | −0.110391 | + | 0.241722i | ||||
\(767\) | −9.24088 | + | 10.6645i | −0.333669 | + | 0.385074i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.35590 | + | 5.15871i | 0.0849560 | + | 0.186028i | 0.947342 | − | 0.320224i | \(-0.103758\pi\) |
−0.862386 | + | 0.506251i | \(0.831031\pi\) | |||||||
\(770\) | 0.169332 | + | 0.0497202i | 0.00610229 | + | 0.00179179i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −7.19282 | − | 15.7501i | −0.258875 | − | 0.566858i | ||||
\(773\) | 7.15654 | − | 49.7748i | 0.257403 | − | 1.79028i | −0.293760 | − | 0.955879i | \(-0.594907\pi\) |
0.551163 | − | 0.834398i | \(-0.314184\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.651757 | + | 1.42715i | −0.0234118 | + | 0.0512647i | ||||
\(776\) | 11.2795 | + | 7.24889i | 0.404910 | + | 0.260220i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −27.5123 | + | 17.6811i | −0.986364 | + | 0.633898i | ||||
\(779\) | 6.37443 | + | 7.35648i | 0.228388 | + | 0.263573i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.42980 | −0.0511622 | ||||||||
\(782\) | −15.1827 | + | 12.4370i | −0.542932 | + | 0.444747i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.10947 | + | 0.913022i | −0.111052 | + | 0.0326079i | ||||
\(785\) | −0.960209 | − | 1.10814i | −0.0342713 | − | 0.0395512i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.53041 | + | 31.5097i | 0.161492 | + | 1.12320i | 0.895824 | + | 0.444409i | \(0.146586\pi\) |
−0.734332 | + | 0.678790i | \(0.762504\pi\) | |||||||
\(788\) | 3.76798 | + | 2.42154i | 0.134229 | + | 0.0862637i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.16187 | − | 1.34087i | 0.0413374 | − | 0.0477059i | ||||
\(791\) | −2.53441 | + | 17.6272i | −0.0901132 | + | 0.626751i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 20.6201 | + | 6.05462i | 0.732242 | + | 0.215006i | ||||
\(794\) | −26.2992 | − | 7.72214i | −0.933323 | − | 0.274048i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.341185 | + | 2.37299i | −0.0120930 | + | 0.0841085i | ||||
\(797\) | 13.3852 | − | 15.4473i | 0.474127 | − | 0.547172i | −0.467428 | − | 0.884031i | \(-0.654819\pi\) |
0.941555 | + | 0.336859i | \(0.109365\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −24.9158 | − | 16.0124i | −0.881458 | − | 0.566479i | ||||
\(800\) | −0.707718 | − | 4.92229i | −0.0250216 | − | 0.174029i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.57630 | + | 11.0516i | 0.338151 | + | 0.390247i | ||||
\(803\) | 1.78357 | − | 0.523702i | 0.0629407 | − | 0.0184810i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.95418 | − | 1.60078i | 0.0688759 | − | 0.0564202i | ||||
\(806\) | 0.715957 | 0.0252185 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.11465 | − | 2.44044i | −0.0743933 | − | 0.0858544i | ||||
\(809\) | −20.5455 | + | 13.2038i | −0.722341 | + | 0.464220i | −0.849450 | − | 0.527668i | \(-0.823066\pi\) |
0.127110 | + | 0.991889i | \(0.459430\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.71928 | + | 3.03290i | 0.165716 | + | 0.106499i | 0.620870 | − | 0.783913i | \(-0.286779\pi\) |
−0.455154 | + | 0.890413i | \(0.650416\pi\) | |||||||
\(812\) | −2.70329 | + | 5.91937i | −0.0948668 | + | 0.207729i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.0875934 | + | 0.609226i | −0.00307015 | + | 0.0213533i | ||||
\(815\) | −1.61520 | − | 3.53679i | −0.0565780 | − | 0.123889i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.57480 | + | 0.756030i | 0.0900809 | + | 0.0264501i | ||||
\(818\) | 6.39646 | + | 14.0063i | 0.223647 | + | 0.489718i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.805171 | − | 0.929217i | 0.0281178 | − | 0.0324497i | ||||
\(821\) | −8.22009 | + | 17.9995i | −0.286883 | + | 0.628186i | −0.997125 | − | 0.0757713i | \(-0.975858\pi\) |
0.710242 | + | 0.703957i | \(0.248585\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.58782 | + | 31.9090i | 0.159921 | + | 1.11228i | 0.898775 | + | 0.438411i | \(0.144458\pi\) |
−0.738854 | + | 0.673866i | \(0.764633\pi\) | |||||||
\(824\) | −10.9619 | + | 7.04479i | −0.381876 | + | 0.245417i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −19.0932 | + | 5.60627i | −0.664337 | + | 0.195067i | ||||
\(827\) | −7.99830 | −0.278128 | −0.139064 | − | 0.990283i | \(-0.544409\pi\) | ||||
−0.139064 | + | 0.990283i | \(0.544409\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 50.1879 | 1.74310 | 0.871548 | − | 0.490310i | \(-0.163116\pi\) | ||||
0.871548 | + | 0.490310i | \(0.163116\pi\) | |||||||
\(830\) | −1.85721 | + | 0.545327i | −0.0644649 | + | 0.0189286i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.90906 | + | 1.22688i | −0.0661848 | + | 0.0425344i | ||||
\(833\) | −1.88743 | − | 13.1273i | −0.0653955 | − | 0.454835i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.57812 | + | 3.45560i | −0.0546131 | + | 0.119586i | ||||
\(836\) | −0.285912 | + | 0.329960i | −0.00988848 | + | 0.0114119i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 3.05372 | + | 6.68671i | 0.105489 | + | 0.230989i | ||||
\(839\) | −26.7616 | − | 7.85792i | −0.923913 | − | 0.271285i | −0.215027 | − | 0.976608i | \(-0.568984\pi\) |
−0.708886 | + | 0.705323i | \(0.750802\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.3292 | − | 22.6179i | −0.356181 | − | 0.779927i | ||||
\(842\) | −3.53243 | + | 24.5686i | −0.121736 | + | 0.846690i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.20432 | + | 2.63710i | −0.0414545 | + | 0.0907726i | ||||
\(845\) | −1.08702 | − | 0.698583i | −0.0373945 | − | 0.0240320i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −29.3110 | + | 18.8370i | −1.00714 | + | 0.647248i | ||||
\(848\) | 8.54279 | + | 9.85891i | 0.293361 | + | 0.338556i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 20.3510 | 0.698034 | ||||||||
\(851\) | 6.49597 | + | 5.95148i | 0.222679 | + | 0.204014i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −33.2530 | + | 9.76397i | −1.13856 | + | 0.334312i | −0.796067 | − | 0.605208i | \(-0.793090\pi\) |
−0.342494 | + | 0.939520i | \(0.611272\pi\) | |||||||
\(854\) | 19.8459 | + | 22.9034i | 0.679113 | + | 0.783738i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.94874 | − | 13.5538i | −0.0666064 | − | 0.463258i | ||||
\(857\) | −22.4282 | − | 14.4137i | −0.766132 | − | 0.492363i | 0.0982731 | − | 0.995159i | \(-0.468668\pi\) |
−0.864405 | + | 0.502797i | \(0.832304\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −30.6380 | + | 35.3582i | −1.04536 | + | 1.20641i | −0.0673716 | + | 0.997728i | \(0.521461\pi\) |
−0.977985 | + | 0.208677i | \(0.933084\pi\) | |||||||
\(860\) | 0.0482391 | − | 0.335510i | 0.00164494 | − | 0.0114408i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 17.3018 | + | 5.08026i | 0.589301 | + | 0.173034i | ||||
\(863\) | 18.8234 | + | 5.52705i | 0.640756 | + | 0.188143i | 0.585941 | − | 0.810354i | \(-0.300725\pi\) |
0.0548148 | + | 0.998497i | \(0.482543\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.393754 | + | 2.73862i | −0.0133881 | + | 0.0931160i | ||||
\(866\) | 17.2159 | − | 19.8682i | 0.585020 | − | 0.675149i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.849349 | + | 0.545843i | 0.0288288 | + | 0.0185271i | ||||
\(869\) | −0.513968 | − | 3.57473i | −0.0174352 | − | 0.121264i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.15858 | + | 4.79925i | 0.140908 | + | 0.162617i | ||||
\(872\) | 7.52452 | − | 2.20940i | 0.254812 | − | 0.0748197i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.59402 | + | 6.04276i | 0.0539185 | + | 0.204399i | ||||
\(875\) | −5.25307 | −0.177586 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 23.4025 | + | 27.0079i | 0.790246 | + | 0.911993i | 0.997804 | − | 0.0662299i | \(-0.0210971\pi\) |
−0.207558 | + | 0.978223i | \(0.566552\pi\) | |||||||
\(878\) | −6.19759 | + | 3.98295i | −0.209159 | + | 0.134418i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.0463935 | + | 0.0298153i | 0.00156393 | + | 0.00100507i | ||||
\(881\) | −2.39648 | + | 5.24756i | −0.0807394 | + | 0.176795i | −0.945696 | − | 0.325051i | \(-0.894618\pi\) |
0.864957 | + | 0.501846i | \(0.167346\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.81367 | + | 33.4798i | −0.161993 | + | 1.12668i | 0.732878 | + | 0.680360i | \(0.238176\pi\) |
−0.894871 | + | 0.446325i | \(0.852733\pi\) | |||||||
\(884\) | −3.85790 | − | 8.44763i | −0.129755 | − | 0.284124i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9.61273 | − | 2.82255i | −0.322946 | − | 0.0948255i | ||||
\(887\) | −0.692651 | − | 1.51669i | −0.0232570 | − | 0.0509256i | 0.897647 | − | 0.440715i | \(-0.145275\pi\) |
−0.920904 | + | 0.389789i | \(0.872548\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −6.49823 | + | 7.49936i | −0.217944 | + | 0.251520i | ||||
\(890\) | 0.853708 | − | 1.86936i | 0.0286164 | − | 0.0626611i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −3.23481 | − | 22.4986i | −0.108309 | − | 0.753309i | ||||
\(893\) | −7.93375 | + | 5.09871i | −0.265493 | + | 0.170622i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.12680 | + | 0.918112i | −0.104518 | + | 0.0306891i | ||||
\(896\) | −3.20012 | −0.106908 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −10.5280 | −0.351323 | ||||||||
\(899\) | 0.615573 | − | 0.180749i | 0.0205305 | − | 0.00602830i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −44.9111 | + | 28.8626i | −1.49621 | + | 0.961553i | ||||
\(902\) | −0.356178 | − | 2.47728i | −0.0118594 | − | 0.0824843i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.31176 | + | 5.06205i | −0.0768880 | + | 0.168361i | ||||
\(905\) | 0.470515 | − | 0.543004i | 0.0156405 | − | 0.0180501i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.4870 | − | 22.9633i | −0.348215 | − | 0.762485i | −0.999992 | − | 0.00407406i | \(-0.998703\pi\) |
0.651776 | − | 0.758411i | \(-0.274024\pi\) | |||||||
\(908\) | 7.96562 | + | 2.33892i | 0.264348 | + | 0.0776197i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.496555 | + | 1.08730i | 0.0164606 | + | 0.0360438i | ||||
\(911\) | 0.0411855 | − | 0.286451i | 0.00136454 | − | 0.00949056i | −0.989128 | − | 0.147058i | \(-0.953019\pi\) |
0.990492 | + | 0.137568i | \(0.0439285\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.63674 | + | 3.58397i | −0.0541683 | + | 0.118612i | ||||
\(914\) | −5.76550 | − | 3.70526i | −0.190706 | − | 0.122559i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −18.2624 | + | 11.7365i | −0.603405 | + | 0.387785i | ||||
\(917\) | −15.8630 | − | 18.3069i | −0.523842 | − | 0.604546i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −25.1986 | −0.831226 | −0.415613 | − | 0.909542i | \(-0.636433\pi\) | ||||
−0.415613 | + | 0.909542i | \(0.636433\pi\) | |||||||
\(920\) | 0.726854 | − | 0.307921i | 0.0239637 | − | 0.0101519i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −36.4027 | + | 10.6888i | −1.19886 | + | 0.352017i | ||||
\(923\) | −6.34180 | − | 7.31883i | −0.208743 | − | 0.240902i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.30010 | − | 9.04241i | −0.0427471 | − | 0.297312i | ||||
\(926\) | 6.15552 | + | 3.95591i | 0.202283 | + | 0.129999i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.33166 | + | 1.53682i | −0.0437139 | + | 0.0504485i | ||||
\(929\) | 0.266643 | − | 1.85454i | 0.00874826 | − | 0.0608455i | −0.984980 | − | 0.172670i | \(-0.944760\pi\) |
0.993728 | + | 0.111825i | \(0.0356696\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.05196 | − | 1.18976i | −0.132798 | − | 0.0389929i | ||||
\(932\) | 25.1255 | + | 7.37751i | 0.823013 | + | 0.241658i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −4.42372 | + | 30.7677i | −0.144749 | + | 1.00675i | ||||
\(935\) | −0.147794 | + | 0.170563i | −0.00483337 | + | 0.00557800i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −44.3286 | − | 28.4883i | −1.44815 | − | 0.930671i | −0.999313 | − | 0.0370593i | \(-0.988201\pi\) |
−0.448840 | − | 0.893612i | \(-0.648163\pi\) | |||||||
\(938\) | 1.27444 | + | 8.86391i | 0.0416119 | + | 0.289417i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.780095 | + | 0.900278i | 0.0254439 | + | 0.0293638i | ||||
\(941\) | 13.8604 | − | 4.06978i | 0.451836 | − | 0.132671i | −0.0478937 | − | 0.998852i | \(-0.515251\pi\) |
0.499730 | + | 0.866181i | \(0.333433\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −32.1624 | − | 15.7783i | −1.04735 | − | 0.513811i | ||||
\(944\) | −6.21829 | −0.202388 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.451831 | − | 0.521441i | −0.0146903 | − | 0.0169535i | ||||
\(947\) | 47.1319 | − | 30.2898i | 1.53158 | − | 0.984287i | 0.541988 | − | 0.840387i | \(-0.317672\pi\) |
0.989592 | − | 0.143900i | \(-0.0459644\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.5916 | + | 6.80683i | 0.343819 | + | 0.220959i | ||||
\(950\) | 2.69198 | − | 5.89461i | 0.0873393 | − | 0.191246i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.86377 | − | 12.9628i | 0.0604050 | − | 0.420126i | ||||
\(953\) | 2.58173 | + | 5.65320i | 0.0836304 | + | 0.183125i | 0.946827 | − | 0.321743i | \(-0.104269\pi\) |
−0.863197 | + | 0.504868i | \(0.831541\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.959944 | + | 0.281865i | 0.0310630 | + | 0.00912093i | ||||
\(956\) | −9.79085 | − | 21.4390i | −0.316659 | − | 0.693386i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 6.87959 | − | 7.93947i | 0.222270 | − | 0.256513i | ||||
\(959\) | −2.11362 | + | 4.62818i | −0.0682524 | + | 0.149452i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.39759 | + | 30.5859i | 0.141858 | + | 0.986643i | ||||
\(962\) | −3.50701 | + | 2.25382i | −0.113070 | + | 0.0726660i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 7.76459 | − | 2.27989i | 0.250081 | − | 0.0734303i | ||||
\(965\) | −2.84999 | −0.0917444 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.4615 | 0.336419 | 0.168209 | − | 0.985751i | \(-0.446202\pi\) | ||||
0.168209 | + | 0.985751i | \(0.446202\pi\) | |||||||
\(968\) | −10.4467 | + | 3.06743i | −0.335770 | + | 0.0985910i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.85659 | − | 1.19316i | 0.0596115 | − | 0.0383100i | ||||
\(971\) | 1.02231 | + | 7.11029i | 0.0328073 | + | 0.228180i | 0.999628 | − | 0.0272763i | \(-0.00868339\pi\) |
−0.966821 | + | 0.255456i | \(0.917774\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.93301 | + | 15.1812i | −0.222262 | + | 0.486686i | ||||
\(974\) | 12.4925 | − | 14.4171i | 0.400285 | − | 0.461953i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.93404 | + | 8.61434i | 0.125926 | + | 0.275738i | ||||
\(977\) | 25.7672 | + | 7.56592i | 0.824364 | + | 0.242055i | 0.666594 | − | 0.745421i | \(-0.267751\pi\) |
0.157770 | + | 0.987476i | \(0.449570\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.73775 | − | 3.80515i | −0.0555388 | − | 0.121613i | ||||
\(980\) | −0.0759137 | + | 0.527992i | −0.00242498 | + | 0.0168661i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −6.82096 | + | 14.9358i | −0.217666 | + | 0.476621i | ||||
\(983\) | 8.70959 | + | 5.59731i | 0.277793 | + | 0.178527i | 0.672117 | − | 0.740445i | \(-0.265385\pi\) |
−0.394325 | + | 0.918971i | \(0.629021\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.620205 | − | 0.398581i | 0.0197614 | − | 0.0126999i | ||||
\(986\) | −5.44966 | − | 6.28924i | −0.173552 | − | 0.200290i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.95714 | −0.0940793 | ||||||||
\(989\) | −9.81076 | + | 1.13438i | −0.311964 | + | 0.0360712i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 30.4115 | − | 8.92963i | 0.966054 | − | 0.283659i | 0.239598 | − | 0.970872i | \(-0.422984\pi\) |
0.726456 | + | 0.687213i | \(0.241166\pi\) | |||||||
\(992\) | 0.206606 | + | 0.238436i | 0.00655974 | + | 0.00757034i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.94351 | − | 13.5174i | −0.0616443 | − | 0.428746i | ||||
\(995\) | 0.331965 | + | 0.213341i | 0.0105240 | + | 0.00676336i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.1067 | + | 12.8178i | −0.351753 | + | 0.405945i | −0.903860 | − | 0.427829i | \(-0.859279\pi\) |
0.552107 | + | 0.833774i | \(0.313824\pi\) | |||||||
\(998\) | 2.50917 | − | 17.4516i | 0.0794263 | − | 0.552422i | ||||
\(999\) | 0 | 0 |
(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 | 414.2.i.h.55.1 | yes | 20 | |
3.2 | odd | 2 | 414.2.i.g.55.2 | ✓ | 20 | ||
23.8 | even | 11 | 9522.2.a.cg.1.7 | 10 | |||
23.15 | odd | 22 | 9522.2.a.ch.1.4 | 10 | |||
23.18 | even | 11 | inner | 414.2.i.h.271.1 | yes | 20 | |
69.8 | odd | 22 | 9522.2.a.cj.1.4 | 10 | |||
69.38 | even | 22 | 9522.2.a.ci.1.7 | 10 | |||
69.41 | odd | 22 | 414.2.i.g.271.2 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.2.i.g.55.2 | ✓ | 20 | 3.2 | odd | 2 | ||
414.2.i.g.271.2 | yes | 20 | 69.41 | odd | 22 | ||
414.2.i.h.55.1 | yes | 20 | 1.1 | even | 1 | trivial | |
414.2.i.h.271.1 | yes | 20 | 23.18 | even | 11 | inner | |
9522.2.a.cg.1.7 | 10 | 23.8 | even | 11 | |||
9522.2.a.ch.1.4 | 10 | 23.15 | odd | 22 | |||
9522.2.a.ci.1.7 | 10 | 69.38 | even | 22 | |||
9522.2.a.cj.1.4 | 10 | 69.8 | odd | 22 |