Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(17,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 11, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.u (of order \(22\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 17.9 | ||
Character | \(\chi\) | \(=\) | 552.17 |
Dual form | 552.2.u.a.65.9 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{7}{22}\right)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.781802 | − | 1.54557i | −0.451374 | − | 0.892335i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.99625 | − | 1.92558i | 1.33997 | − | 0.861143i | 0.343026 | − | 0.939326i | \(-0.388548\pi\) |
0.996939 | + | 0.0781824i | \(0.0249116\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.72244 | − | 0.535207i | −1.40695 | − | 0.202289i | −0.603359 | − | 0.797470i | \(-0.706171\pi\) |
−0.803592 | + | 0.595180i | \(0.797081\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.77757 | + | 2.41666i | −0.592523 | + | 0.805553i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.81960 | − | 3.98437i | −0.548631 | − | 1.20133i | −0.957418 | − | 0.288704i | \(-0.906776\pi\) |
0.408788 | − | 0.912630i | \(-0.365952\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.199177 | − | 1.38531i | −0.0552418 | − | 0.384215i | −0.998621 | − | 0.0524988i | \(-0.983281\pi\) |
0.943379 | − | 0.331716i | \(-0.107628\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.31859 | − | 3.12550i | −1.37325 | − | 0.807000i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.64235 | + | 4.20350i | −0.883400 | + | 1.01950i | 0.116255 | + | 0.993219i | \(0.462911\pi\) |
−0.999655 | + | 0.0262782i | \(0.991634\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.85032 | − | 2.46981i | 0.653908 | − | 0.566614i | −0.263452 | − | 0.964672i | \(-0.584861\pi\) |
0.917360 | + | 0.398058i | \(0.130316\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.08302 | + | 6.17172i | 0.454551 | + | 1.34678i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.44262 | + | 3.33892i | 0.717836 | + | 0.696213i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.19262 | − | 6.99086i | 0.638524 | − | 1.39817i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.12482 | + | 0.858008i | 0.986273 | + | 0.165124i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.98733 | − | 2.58853i | −0.554733 | − | 0.480679i | 0.331797 | − | 0.943351i | \(-0.392345\pi\) |
−0.886529 | + | 0.462672i | \(0.846891\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.53689 | + | 2.50666i | −1.53327 | + | 0.450209i | −0.936050 | − | 0.351868i | \(-0.885547\pi\) |
−0.597221 | + | 0.802077i | \(0.703729\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.73556 | + | 5.92731i | −0.824354 | + | 1.03181i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −12.1840 | + | 5.56423i | −2.05947 | + | 0.940527i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.86016 | − | 6.00652i | 0.634606 | − | 0.987467i | −0.363825 | − | 0.931467i | \(-0.618529\pi\) |
0.998431 | − | 0.0559991i | \(-0.0178344\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.98537 | + | 1.39088i | −0.317914 | + | 0.222719i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.23146 | − | 3.47222i | −0.348496 | − | 0.542270i | 0.622115 | − | 0.782926i | \(-0.286274\pi\) |
−0.970610 | + | 0.240656i | \(0.922637\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.999481 | − | 3.40392i | 0.152419 | − | 0.519093i | −0.847512 | − | 0.530776i | \(-0.821901\pi\) |
0.999932 | + | 0.0116828i | \(0.00371884\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.672591 | + | 10.6638i | −0.100264 | + | 1.58966i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.34072i | 0.195564i | 0.995208 | + | 0.0977820i | \(0.0311748\pi\) | ||||
−0.995208 | + | 0.0977820i | \(0.968825\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.85369 | + | 2.01242i | 0.979098 | + | 0.287489i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 9.34439 | + | 2.34320i | 1.30848 | + | 0.328114i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.302667 | + | 2.10509i | −0.0415745 | + | 0.289157i | 0.958418 | + | 0.285367i | \(0.0921155\pi\) |
−0.999993 | + | 0.00378988i | \(0.998794\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −13.1242 | − | 8.43441i | −1.76967 | − | 1.13730i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.04566 | − | 2.47446i | −0.800767 | − | 0.327750i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 4.94467 | − | 0.710937i | 0.643742 | − | 0.0925561i | 0.187290 | − | 0.982305i | \(-0.440029\pi\) |
0.456451 | + | 0.889749i | \(0.349120\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.53114 | − | 12.0260i | −0.452116 | − | 1.53977i | −0.798689 | − | 0.601744i | \(-0.794473\pi\) |
0.346573 | − | 0.938023i | \(-0.387345\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 7.91032 | − | 8.04451i | 0.996606 | − | 1.01351i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.26430 | − | 3.76720i | −0.404886 | − | 0.467264i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.31771 | − | 3.79857i | −1.01617 | − | 0.464069i | −0.163513 | − | 0.986541i | \(-0.552283\pi\) |
−0.852657 | + | 0.522472i | \(0.825010\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 2.46908 | − | 7.93118i | 0.297243 | − | 0.954802i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.30225 | + | 1.05140i | 0.273226 | + | 0.124778i | 0.547317 | − | 0.836926i | \(-0.315649\pi\) |
−0.274090 | + | 0.961704i | \(0.588377\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.0909771 | − | 0.104993i | −0.0106481 | − | 0.0122885i | 0.750401 | − | 0.660983i | \(-0.229861\pi\) |
−0.761049 | + | 0.648695i | \(0.775315\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −13.3009 | + | 0.531057i | −1.53585 | + | 0.0613211i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.64090 | + | 15.8055i | 0.528880 | + | 1.80120i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 14.9218 | − | 2.14543i | 1.67883 | − | 0.241380i | 0.764001 | − | 0.645215i | \(-0.223232\pi\) |
0.914832 | + | 0.403835i | \(0.132323\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.68049 | − | 8.59156i | −0.297832 | − | 0.954618i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.47436 | + | 2.23284i | 0.381361 | + | 0.245086i | 0.717250 | − | 0.696816i | \(-0.245400\pi\) |
−0.335889 | + | 0.941901i | \(0.609037\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.81926 | + | 19.6084i | −0.305791 | + | 2.12683i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.66526 | + | 6.64084i | −0.178535 | + | 0.711973i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 11.2243 | + | 3.29576i | 1.18978 | + | 0.349350i | 0.815936 | − | 0.578142i | \(-0.196222\pi\) |
0.373842 | + | 0.927493i | \(0.378040\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.26333i | 0.551747i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 10.5484 | + | 11.2346i | 1.09382 | + | 1.16498i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.78446 | − | 12.8887i | 0.388278 | − | 1.32235i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.42501 | − | 3.77339i | −0.246222 | − | 0.383130i | 0.696041 | − | 0.718002i | \(-0.254943\pi\) |
−0.942263 | + | 0.334872i | \(0.891307\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 12.8633 | + | 2.68514i | 1.29281 | + | 0.269867i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.45594 | − | 11.6017i | 0.741894 | − | 1.15441i | −0.241052 | − | 0.970512i | \(-0.577492\pi\) |
0.982946 | − | 0.183897i | \(-0.0588712\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 14.2419 | − | 6.50407i | 1.40330 | − | 0.640865i | 0.437277 | − | 0.899327i | \(-0.355943\pi\) |
0.966021 | + | 0.258462i | \(0.0832156\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 18.1254 | + | 14.4810i | 1.76885 | + | 1.41320i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −10.0640 | + | 2.95506i | −0.972923 | + | 0.285676i | −0.729300 | − | 0.684194i | \(-0.760154\pi\) |
−0.243623 | + | 0.969870i | \(0.578336\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.51358 | + | 4.77754i | 0.528105 | + | 0.457605i | 0.877642 | − | 0.479317i | \(-0.159116\pi\) |
−0.349537 | + | 0.936923i | \(0.613661\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −12.3014 | − | 1.27023i | −1.16760 | − | 0.120565i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.30480 | + | 11.6159i | −0.499033 | + | 1.09273i | 0.477749 | + | 0.878496i | \(0.341453\pi\) |
−0.976782 | + | 0.214234i | \(0.931274\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 16.7443 | + | 3.37523i | 1.56141 | + | 0.314742i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.70187 | + | 1.98114i | 0.342238 | + | 0.183156i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 15.8082 | − | 13.6979i | 1.44913 | − | 1.25568i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.36081 | + | 6.18670i | −0.487346 | + | 0.562427i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.62200 | + | 6.16347i | −0.326585 | + | 0.555741i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.36115 | − | 9.46703i | −0.121745 | − | 0.846756i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.67583 | + | 10.2386i | 0.414913 | + | 0.908533i | 0.995538 | + | 0.0943615i | \(0.0300809\pi\) |
−0.580625 | + | 0.814171i | \(0.697192\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −6.04239 | + | 1.11642i | −0.532003 | + | 0.0982957i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.65453 | + | 0.237885i | 0.144557 | + | 0.0207842i | 0.214213 | − | 0.976787i | \(-0.431281\pi\) |
−0.0696564 | + | 0.997571i | \(0.522190\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −11.9320 | + | 7.66824i | −1.03464 | + | 0.664920i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 17.0074 | − | 7.29742i | 1.46377 | − | 0.628062i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 22.2736 | 1.90297 | 0.951483 | − | 0.307701i | \(-0.0995597\pi\) | ||||
0.951483 | + | 0.307701i | \(0.0995597\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.63017 | −0.477545 | −0.238772 | − | 0.971076i | \(-0.576745\pi\) | ||||
−0.238772 | + | 0.971076i | \(0.576745\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.07218 | − | 1.04818i | 0.174509 | − | 0.0882725i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −5.15716 | + | 3.31430i | −0.431263 | + | 0.277156i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.9352 | − | 2.00358i | −1.15726 | − | 0.166388i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.24789 | − | 12.1662i | −0.185403 | − | 1.00345i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.67101 | − | 14.6075i | −0.546511 | − | 1.19669i | −0.958392 | − | 0.285454i | \(-0.907856\pi\) |
0.411882 | − | 0.911237i | \(-0.364872\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.44665 | − | 23.9720i | −0.280484 | − | 1.95081i | −0.308559 | − | 0.951205i | \(-0.599847\pi\) |
0.0280743 | − | 0.999606i | \(-0.491062\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.68389 | − | 16.2743i | −0.297825 | − | 1.31570i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −20.7519 | + | 23.9490i | −1.66684 | + | 1.92363i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.31032 | − | 4.60141i | 0.423809 | − | 0.367233i | −0.416687 | − | 0.909050i | \(-0.636809\pi\) |
0.840496 | + | 0.541817i | \(0.182263\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.49019 | − | 1.17797i | 0.276790 | − | 0.0934194i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −11.0279 | − | 14.2714i | −0.869123 | − | 1.12475i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.66822 | + | 12.4117i | −0.443969 | + | 0.972158i | 0.546883 | + | 0.837209i | \(0.315814\pi\) |
−0.990853 | + | 0.134949i | \(0.956913\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.77544 | + | 26.8784i | −0.216068 | + | 2.09248i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.41664 | + | 2.09403i | 0.187005 | + | 0.162041i | 0.743332 | − | 0.668923i | \(-0.233244\pi\) |
−0.556327 | + | 0.830964i | \(0.687790\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.5940 | − | 3.11068i | 0.814923 | − | 0.239283i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.902061 | + | 11.2785i | 0.0689823 | + | 0.862490i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 14.0251 | − | 6.40504i | 1.06631 | − | 0.486966i | 0.196574 | − | 0.980489i | \(-0.437018\pi\) |
0.869733 | + | 0.493523i | \(0.164291\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −15.6259 | + | 24.3144i | −1.18121 | + | 1.83799i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.96456 | − | 7.08652i | −0.373159 | − | 0.532656i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 5.39773 | + | 8.39902i | 0.403445 | + | 0.627773i | 0.982224 | − | 0.187712i | \(-0.0601071\pi\) |
−0.578779 | + | 0.815484i | \(0.696471\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.45706 | − | 4.96231i | 0.108303 | − | 0.368845i | −0.887451 | − | 0.460902i | \(-0.847526\pi\) |
0.995754 | + | 0.0920567i | \(0.0293441\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −15.8263 | + | 14.8595i | −1.16991 | + | 1.09845i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | − | 25.4301i | − | 1.86966i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 23.3759 | + | 6.86379i | 1.70942 | + | 0.501930i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −18.6177 | − | 5.93673i | −1.35424 | − | 0.431833i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.15453 | + | 8.02992i | −0.0835387 | + | 0.581024i | 0.904460 | + | 0.426559i | \(0.140274\pi\) |
−0.987998 | + | 0.154465i | \(0.950635\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.05259 | − | 4.53242i | −0.507656 | − | 0.326251i | 0.261616 | − | 0.965172i | \(-0.415745\pi\) |
−0.769272 | + | 0.638921i | \(0.779381\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −3.27044 | + | 7.99041i | −0.234201 | + | 0.572205i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −9.48320 | + | 1.36348i | −0.675650 | + | 0.0971438i | −0.471595 | − | 0.881815i | \(-0.656321\pi\) |
−0.204056 | + | 0.978959i | \(0.565412\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.84186 | − | 19.8956i | −0.414119 | − | 1.41036i | −0.857712 | − | 0.514131i | \(-0.828115\pi\) |
0.443593 | − | 0.896228i | \(-0.353704\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.631850 | + | 15.8253i | 0.0445673 | + | 1.11623i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 9.73476 | + | 11.2345i | 0.683246 | + | 0.788508i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −13.3720 | − | 6.10681i | −0.933944 | − | 0.426518i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −14.1885 | + | 2.38447i | −0.986171 | + | 0.165732i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −15.0271 | − | 6.86265i | −1.03945 | − | 0.474699i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.168541 | + | 0.194506i | 0.0116028 | + | 0.0133904i | 0.761521 | − | 0.648140i | \(-0.224453\pi\) |
−0.749919 | + | 0.661530i | \(0.769907\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.174889 | − | 4.38027i | −0.0119832 | − | 0.300131i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.55980 | − | 12.1236i | −0.242777 | − | 0.826821i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 33.1197 | − | 4.76189i | 2.24831 | − | 0.323258i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.0911481 | + | 0.222695i | −0.00615922 | + | 0.0150484i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.54861 | + | 4.20853i | 0.440507 | + | 0.283097i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.69235 | − | 11.7705i | 0.113328 | − | 0.788214i | −0.851315 | − | 0.524655i | \(-0.824194\pi\) |
0.964643 | − | 0.263559i | \(-0.0848964\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 11.2194 | + | 20.1422i | 0.747962 | + | 1.34282i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 7.60809 | + | 2.23394i | 0.504967 | + | 0.148272i | 0.524287 | − | 0.851542i | \(-0.324332\pi\) |
−0.0193202 | + | 0.999813i | \(0.506150\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.8124i | 0.714502i | 0.934008 | + | 0.357251i | \(0.116286\pi\) | ||||
−0.934008 | + | 0.357251i | \(0.883714\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 20.8002 | − | 19.5296i | 1.36855 | − | 1.28495i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −4.94957 | + | 16.8567i | −0.324257 | + | 1.10432i | 0.622567 | + | 0.782566i | \(0.286090\pi\) |
−0.946824 | + | 0.321751i | \(0.895729\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.58166 | + | 4.01714i | 0.168409 | + | 0.262049i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −14.9818 | − | 21.3854i | −0.973173 | − | 1.38913i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.94622 | − | 4.58441i | 0.190575 | − | 0.296541i | −0.732797 | − | 0.680448i | \(-0.761785\pi\) |
0.923372 | + | 0.383907i | \(0.125422\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.7487 | + | 7.64886i | −1.07888 | + | 0.492707i | −0.873923 | − | 0.486065i | \(-0.838432\pi\) |
−0.204954 | + | 0.978772i | \(0.565705\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.1832 | + | 10.8598i | −0.717406 | + | 0.696656i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 24.4105 | − | 7.16756i | 1.55953 | − | 0.457918i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.98917 | − | 3.45664i | −0.253825 | − | 0.219940i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.734741 | − | 7.11551i | 0.0465623 | − | 0.450927i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.62547 | + | 7.93867i | −0.228838 | + | 0.501084i | −0.988867 | − | 0.148805i | \(-0.952457\pi\) |
0.760029 | + | 0.649889i | \(0.225185\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.03930 | − | 19.7922i | 0.442557 | − | 1.24432i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 32.5102 | − | 10.9725i | 2.03587 | − | 0.687125i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.86009 | + | 3.34479i | −0.240786 | + | 0.208642i | −0.766891 | − | 0.641777i | \(-0.778197\pi\) |
0.526105 | + | 0.850420i | \(0.323652\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −17.5840 | + | 20.2930i | −1.09261 | + | 1.26094i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 11.5658 | − | 2.61805i | 0.715904 | − | 0.162053i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3.45520 | + | 24.0314i | 0.213057 | + | 1.48184i | 0.762869 | + | 0.646553i | \(0.223790\pi\) |
−0.549812 | + | 0.835288i | \(0.685301\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.14665 | + | 6.89020i | 0.193297 | + | 0.423262i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.68138 | − | 19.9246i | −0.225297 | − | 1.21937i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 4.05071 | + | 0.582404i | 0.246976 | + | 0.0355098i | 0.264691 | − | 0.964333i | \(-0.414730\pi\) |
−0.0177149 | + | 0.999843i | \(0.505639\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.4661 | − | 8.01149i | 0.757263 | − | 0.486664i | −0.104154 | − | 0.994561i | \(-0.533214\pi\) |
0.861417 | + | 0.507898i | \(0.169577\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 8.13484 | − | 4.11488i | 0.492343 | − | 0.249044i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −33.6635 | −2.02999 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −13.0966 | −0.786899 | −0.393450 | − | 0.919346i | \(-0.628718\pi\) | ||||
−0.393450 | + | 0.919346i | \(0.628718\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 9.11718 | − | 25.0865i | 0.545832 | − | 1.50189i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −8.92171 | + | 5.73363i | −0.532224 | + | 0.342040i | −0.778991 | − | 0.627035i | \(-0.784268\pi\) |
0.246767 | + | 0.969075i | \(0.420632\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.22886 | − | 0.751797i | −0.310823 | − | 0.0446897i | −0.0148620 | − | 0.999890i | \(-0.504731\pi\) |
−0.295961 | + | 0.955200i | \(0.595640\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −22.8791 | + | 4.22726i | −1.35524 | + | 0.250401i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.44813 | + | 14.1194i | 0.380621 | + | 0.833444i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.98331 | − | 13.7942i | −0.116666 | − | 0.811426i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.93616 | + | 6.69807i | −0.230742 | + | 0.392648i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −3.60005 | + | 4.15468i | −0.210317 | + | 0.242719i | −0.851101 | − | 0.525003i | \(-0.824064\pi\) |
0.640783 | + | 0.767722i | \(0.278610\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.4465 | − | 11.6515i | 0.782887 | − | 0.678376i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.90652 | − | 21.9804i | −0.342731 | − | 1.27543i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 3.93974 | − | 5.43412i | 0.227841 | − | 0.314263i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.54231 | + | 12.1360i | −0.319454 | + | 0.699506i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −23.7603 | − | 2.45346i | −1.36499 | − | 0.140948i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −33.7371 | − | 29.2334i | −1.93178 | − | 1.67390i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.0203 | − | 3.52949i | 0.686036 | − | 0.201438i | 0.0799043 | − | 0.996803i | \(-0.474539\pi\) |
0.606132 | + | 0.795364i | \(0.292720\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −21.1869 | − | 16.9270i | −1.20528 | − | 0.962943i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −5.65005 | + | 2.58029i | −0.320385 | + | 0.146315i | −0.569115 | − | 0.822258i | \(-0.692714\pi\) |
0.248730 | + | 0.968573i | \(0.419987\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.7377 | + | 21.3763i | −0.776500 | + | 1.20826i | 0.197186 | + | 0.980366i | \(0.436820\pi\) |
−0.973686 | + | 0.227892i | \(0.926817\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 8.21100 | − | 39.3353i | 0.462637 | − | 2.21629i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −12.9278 | − | 20.1160i | −0.726096 | − | 1.12983i | −0.986410 | − | 0.164303i | \(-0.947462\pi\) |
0.260314 | − | 0.965524i | \(-0.416174\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.87794 | + | 16.6127i | −0.273112 | + | 0.930134i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.4353 | + | 13.2443i | 0.694071 | + | 0.739227i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 20.9772i | 1.16720i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −10.3204 | − | 3.03034i | −0.572472 | − | 0.168093i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 3.07349 | − | 12.2567i | 0.169965 | − | 0.677797i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.717562 | − | 4.99075i | 0.0395605 | − | 0.275149i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.56722 | − | 3.57783i | −0.306002 | − | 0.196656i | 0.378623 | − | 0.925551i | \(-0.376398\pi\) |
−0.684625 | + | 0.728895i | \(0.740034\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 7.65402 | + | 20.0057i | 0.419438 | + | 1.09631i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −32.2364 | + | 4.63489i | −1.76126 | + | 0.253231i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 6.10766 | + | 20.8008i | 0.332705 | + | 1.13309i | 0.940726 | + | 0.339169i | \(0.110146\pi\) |
−0.608020 | + | 0.793921i | \(0.708036\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 22.1005 | − | 0.882394i | 1.20033 | − | 0.0479251i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 25.5212 | + | 29.4530i | 1.38205 | + | 1.59497i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.489284 | − | 0.223448i | −0.0264188 | − | 0.0120651i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −7.87408 | − | 28.5182i | −0.423926 | − | 1.53537i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −26.0960 | − | 11.9176i | −1.40090 | − | 0.639772i | −0.435419 | − | 0.900228i | \(-0.643400\pi\) |
−0.965486 | + | 0.260456i | \(0.916127\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −21.4862 | − | 24.7964i | −1.15013 | − | 1.32732i | −0.936606 | − | 0.350384i | \(-0.886051\pi\) |
−0.213524 | − | 0.976938i | \(-0.568494\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.167857 | − | 7.27035i | 0.00895955 | − | 0.388063i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.49908 | + | 18.7281i | 0.292686 | + | 0.996798i | 0.966237 | + | 0.257657i | \(0.0829504\pi\) |
−0.673550 | + | 0.739142i | \(0.735231\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.92267 | − | 1.28289i | 0.473566 | − | 0.0680885i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −33.5299 | − | 13.7236i | −1.77459 | − | 0.726331i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −0.983323 | − | 0.631944i | −0.0518978 | − | 0.0333527i | 0.514435 | − | 0.857530i | \(-0.328002\pi\) |
−0.566332 | + | 0.824177i | \(0.691638\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.679653 | + | 4.72709i | −0.0357712 | + | 0.248794i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 13.7531 | + | 3.44872i | 0.721849 | + | 0.181011i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.474763 | − | 0.139403i | −0.0248502 | − | 0.00729668i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 29.6259i | 1.54646i | 0.634126 | + | 0.773230i | \(0.281360\pi\) | ||||
−0.634126 | + | 0.773230i | \(0.718640\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 12.3578 | + | 0.779435i | 0.643319 | + | 0.0405758i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.25332 | − | 7.67410i | 0.116987 | − | 0.398419i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.09104 | − | 9.47785i | −0.315382 | − | 0.490744i | 0.646983 | − | 0.762505i | \(-0.276031\pi\) |
−0.962365 | + | 0.271760i | \(0.912394\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −13.5678 | + | 9.50510i | −0.700638 | + | 0.490841i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.99091 | + | 4.65394i | −0.154040 | + | 0.239690i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.5575 | − | 8.47491i | 0.953233 | − | 0.435327i | 0.122791 | − | 0.992433i | \(-0.460815\pi\) |
0.830442 | + | 0.557106i | \(0.188088\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 12.1690 | − | 15.2314i | 0.623435 | − | 0.780329i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 22.8489 | − | 6.70905i | 1.16753 | − | 0.342817i | 0.360173 | − | 0.932885i | \(-0.382718\pi\) |
0.807353 | + | 0.590069i | \(0.200899\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 44.3399 | + | 38.4208i | 2.25977 | + | 1.95810i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 6.44947 | + | 8.46611i | 0.327845 | + | 0.430357i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 8.48983 | − | 18.5901i | 0.430451 | − | 0.942557i | −0.562802 | − | 0.826592i | \(-0.690277\pi\) |
0.993253 | − | 0.115965i | \(-0.0369961\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −26.5744 | + | 2.30952i | −1.34392 | + | 0.116797i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.925847 | − | 2.74317i | −0.0467028 | − | 0.138375i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 40.5783 | − | 35.1613i | 2.04172 | − | 1.76916i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.5371 | + | 14.4686i | −0.629218 | + | 0.726156i | −0.977430 | − | 0.211259i | \(-0.932244\pi\) |
0.348212 | + | 0.937416i | \(0.386789\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 21.1803 | + | 12.4467i | 1.06034 | + | 0.623115i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.75960 | + | 19.1935i | 0.137808 | + | 0.958476i | 0.934974 | + | 0.354716i | \(0.115422\pi\) |
−0.797166 | + | 0.603760i | \(0.793669\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.17284 | + | 11.3269i | 0.257678 | + | 0.564236i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −24.5751 | − | 20.5810i | −1.22115 | − | 1.02268i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −30.9562 | − | 4.45083i | −1.53444 | − | 0.220619i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 15.4148 | − | 9.90651i | 0.762214 | − | 0.489845i | −0.100874 | − | 0.994899i | \(-0.532164\pi\) |
0.863088 | + | 0.505054i | \(0.168527\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −17.4136 | − | 34.4255i | −0.858949 | − | 1.69808i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −18.7868 | −0.924436 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14.7096 | 0.722065 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.40168 | + | 8.70182i | 0.215551 | + | 0.426130i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.43323 | + | 1.56374i | −0.118871 | + | 0.0763939i | −0.598725 | − | 0.800954i | \(-0.704326\pi\) |
0.479854 | + | 0.877348i | \(0.340690\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.28389 | + | 0.472152i | 0.160047 | + | 0.0230113i | 0.221872 | − | 0.975076i | \(-0.428783\pi\) |
−0.0618256 | + | 0.998087i | \(0.519692\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −3.24006 | − | 2.38322i | −0.157537 | − | 0.115876i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 17.7574 | + | 38.8833i | 0.861362 | + | 1.88612i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.70810 | + | 46.6559i | 0.324628 | + | 2.25783i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 9.15437 | + | 5.37962i | 0.441977 | + | 0.259730i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 6.01699 | − | 6.94398i | 0.289828 | − | 0.334480i | −0.592099 | − | 0.805865i | \(-0.701701\pi\) |
0.881927 | + | 0.471386i | \(0.156246\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −24.5070 | + | 21.2354i | −1.17773 | + | 1.02051i | −0.178398 | + | 0.983958i | \(0.557091\pi\) |
−0.999332 | + | 0.0365500i | \(0.988363\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 7.79791 | + | 23.1042i | 0.373881 | + | 1.10776i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 18.0591 | + | 1.01435i | 0.863882 | + | 0.0485230i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.75781 | + | 6.03876i | −0.131623 | + | 0.288214i | −0.963956 | − | 0.266062i | \(-0.914277\pi\) |
0.832333 | + | 0.554276i | \(0.187005\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.0463 | + | 12.9858i | −0.811726 | + | 0.618372i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 20.8244 | + | 18.0445i | 0.989398 | + | 0.857318i | 0.989769 | − | 0.142682i | \(-0.0455726\pi\) |
−0.000370744 | 1.00000i | \(0.500118\pi\) | ||||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 39.9772 | − | 11.7384i | 1.89510 | − | 0.556452i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −17.3615 | + | 21.7307i | −0.821169 | + | 1.02783i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −17.0253 | + | 7.77519i | −0.803473 | + | 0.366934i | −0.774442 | − | 0.632645i | \(-0.781969\pi\) |
−0.0290309 | + | 0.999579i | \(0.509242\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.77425 | + | 15.2090i | −0.460252 | + | 0.716166i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −34.3557 | + | 24.0684i | −1.61417 | + | 1.13083i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 10.1349 | + | 15.7703i | 0.475133 | + | 0.739322i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.12587 | − | 31.0799i | 0.426890 | − | 1.45386i | −0.412816 | − | 0.910814i | \(-0.635455\pi\) |
0.839706 | − | 0.543041i | \(-0.182727\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −22.2730 | + | 18.4170i | −1.03962 | + | 0.859633i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.2470i | 0.477250i | 0.971112 | + | 0.238625i | \(0.0766967\pi\) | ||||
−0.971112 | + | 0.238625i | \(0.923303\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −28.7089 | − | 8.42968i | −1.33421 | − | 0.391760i | −0.464612 | − | 0.885514i | \(-0.653806\pi\) |
−0.869602 | + | 0.493754i | \(0.835624\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 53.2388 | + | 13.3502i | 2.46889 | + | 0.619099i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 4.56505 | − | 31.7506i | 0.211245 | − | 1.46924i | −0.557762 | − | 0.830001i | \(-0.688340\pi\) |
0.769007 | − | 0.639241i | \(-0.220751\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 28.9292 | + | 18.5917i | 1.33583 | + | 0.858483i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.2634 | − | 4.61006i | −0.518991 | − | 0.212421i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −15.3811 | + | 2.21147i | −0.707226 | + | 0.101684i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.16615 | − | 27.8114i | −0.374689 | − | 1.27607i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.54928 | − | 4.47339i | −0.208297 | − | 0.204823i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.0757814 | − | 0.0874564i | −0.00346254 | − | 0.00399599i | 0.754016 | − | 0.656856i | \(-0.228114\pi\) |
−0.757478 | + | 0.652860i | \(0.773569\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −9.08974 | − | 4.15114i | −0.414456 | − | 0.189276i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −13.4358 | + | 28.2019i | −0.611352 | + | 1.28323i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −14.5319 | − | 6.63649i | −0.659859 | − | 0.301348i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.540010 | − | 0.623204i | −0.0244702 | − | 0.0282401i | 0.743383 | − | 0.668866i | \(-0.233220\pi\) |
−0.767853 | + | 0.640626i | \(0.778675\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 23.6145 | − | 0.942846i | 1.06789 | − | 0.0426369i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.360932 | − | 1.22922i | −0.0162886 | − | 0.0554740i | 0.950948 | − | 0.309352i | \(-0.100112\pi\) |
−0.967236 | + | 0.253878i | \(0.918294\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 21.7618 | − | 3.12887i | 0.980102 | − | 0.140917i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 43.7123 | − | 16.7240i | 1.96472 | − | 0.751686i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −8.00727 | − | 5.14596i | −0.359175 | − | 0.230828i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.381552 | + | 2.65375i | −0.0170806 | + | 0.118798i | −0.996578 | − | 0.0826593i | \(-0.973659\pi\) |
0.979497 | + | 0.201457i | \(0.0645678\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.34713 | − | 5.37220i | 0.0601855 | − | 0.240012i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.1919 | + | 6.80974i | 1.03407 | + | 0.303631i | 0.754366 | − | 0.656454i | \(-0.227944\pi\) |
0.279708 | + | 0.960085i | \(0.409762\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 49.1185i | − | 2.18574i | ||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −13.0902 | − | 13.9418i | −0.581356 | − | 0.619178i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2.54085 | − | 8.65336i | 0.112621 | − | 0.383553i | −0.883821 | − | 0.467824i | \(-0.845038\pi\) |
0.996443 | + | 0.0842710i | \(0.0268562\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.282464 | + | 0.439523i | 0.0124955 | + | 0.0194433i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 16.7265 | − | 10.2118i | 0.738493 | − | 0.450861i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 30.1483 | − | 46.9117i | 1.32849 | − | 2.06718i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.34193 | − | 2.43958i | 0.234938 | − | 0.107292i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −20.8643 | − | 16.6693i | −0.915840 | − | 0.731700i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 34.3952 | − | 10.0994i | 1.50688 | − | 0.442461i | 0.578999 | − | 0.815329i | \(-0.303444\pi\) |
0.927885 | + | 0.372868i | \(0.121625\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −15.0555 | − | 13.0457i | −0.658331 | − | 0.570447i | 0.260317 | − | 0.965523i | \(-0.416173\pi\) |
−0.918648 | + | 0.395076i | \(0.870718\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 49.7959 | + | 5.14188i | 2.17327 | + | 0.224410i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 20.5576 | − | 45.0149i | 0.895504 | − | 1.96088i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.703240 | + | 22.9892i | 0.0305756 | + | 0.999532i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −7.07141 | + | 13.2133i | −0.306873 | + | 0.573410i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.36564 | + | 3.78285i | −0.189097 | + | 0.163853i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −24.4641 | + | 28.2331i | −1.05768 | + | 1.22062i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 8.76132 | − | 14.9089i | 0.378079 | − | 0.643368i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −4.45273 | − | 30.9695i | −0.191793 | − | 1.33395i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.44967 | + | 18.5022i | 0.363280 | + | 0.795472i | 0.999709 | + | 0.0241363i | \(0.00768358\pi\) |
−0.636429 | + | 0.771335i | \(0.719589\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −8.80873 | + | 1.62755i | −0.378019 | + | 0.0698448i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 25.7196 | + | 3.69792i | 1.10171 | + | 0.158401i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −17.7817 | + | 11.4276i | −0.760293 | + | 0.488610i | −0.862440 | − | 0.506159i | \(-0.831065\pi\) |
0.102148 | + | 0.994769i | \(0.467429\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 35.3395 | + | 12.8434i | 1.50825 | + | 0.548144i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −14.9080 | −0.635104 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −56.6938 | −2.41087 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −39.3040 | + | 19.8813i | −1.66836 | + | 0.843915i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 37.7464 | − | 24.2581i | 1.59937 | − | 1.02785i | 0.631834 | − | 0.775103i | \(-0.282302\pi\) |
0.967532 | − | 0.252747i | \(-0.0813341\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.91455 | − | 0.706605i | −0.207863 | − | 0.0298862i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.66689 | − | 41.4952i | −0.323696 | − | 1.75193i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 0.445445 | + | 0.975388i | 0.0187733 | + | 0.0411077i | 0.918786 | − | 0.394755i | \(-0.129171\pi\) |
−0.900013 | + | 0.435863i | \(0.856443\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6.47275 | + | 45.0189i | 0.272310 | + | 1.89396i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 5.37970 | + | 33.4162i | 0.225926 | + | 1.40335i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −6.71551 | + | 7.75011i | −0.281529 | + | 0.324902i | −0.878848 | − | 0.477102i | \(-0.841687\pi\) |
0.597319 | + | 0.802004i | \(0.296233\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.52808 | + | 3.92361i | −0.189494 | + | 0.164198i | −0.744441 | − | 0.667688i | \(-0.767284\pi\) |
0.554947 | + | 0.831886i | \(0.312739\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 13.3134 | − | 4.49340i | 0.556175 | − | 0.187715i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 34.3329 | − | 13.4070i | 1.43178 | − | 0.559109i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.0579 | − | 22.0237i | 0.418715 | − | 0.916857i | −0.576310 | − | 0.817231i | \(-0.695508\pi\) |
0.995025 | − | 0.0996260i | \(-0.0317646\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −1.49145 | + | 14.4437i | −0.0619823 | + | 0.600261i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −11.7381 | − | 10.1711i | −0.486978 | − | 0.421969i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.93821 | − | 2.62449i | 0.370183 | − | 0.108695i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 14.9066 | − | 1.19223i | 0.616311 | − | 0.0492928i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 0.293330 | − | 0.133959i | 0.0121070 | − | 0.00552910i | −0.409352 | − | 0.912376i | \(-0.634245\pi\) |
0.421459 | + | 0.906847i | \(0.361518\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −18.1419 | + | 28.2293i | −0.747523 | + | 1.16317i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 9.52134 | + | 13.5910i | 0.391656 | + | 0.559058i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −15.2828 | − | 23.7805i | −0.627588 | − | 0.976547i | −0.998847 | − | 0.0480169i | \(-0.984710\pi\) |
0.371258 | − | 0.928530i | \(-0.378926\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 20.9890 | − | 71.4821i | 0.860467 | − | 2.93048i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −26.1828 | + | 24.5834i | −1.07159 | + | 1.00613i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1.35452i | 0.0553440i | 0.999617 | + | 0.0276720i | \(0.00880940\pi\) | ||||
−0.999617 | + | 0.0276720i | \(0.991191\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.31712 | + | 1.26762i | 0.176099 | + | 0.0517073i | 0.368593 | − | 0.929591i | \(-0.379840\pi\) |
−0.192494 | + | 0.981298i | \(0.561658\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 23.9652 | − | 13.3488i | 0.975937 | − | 0.543607i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.14938 | + | 28.8596i | −0.168696 | + | 1.17331i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 23.5972 | + | 15.1650i | 0.957780 | + | 0.615528i | 0.923383 | − | 0.383880i | \(-0.125412\pi\) |
0.0343975 | + | 0.999408i | \(0.489049\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 9.75306 | − | 23.8289i | 0.395214 | − | 0.965596i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.85731 | − | 0.267041i | 0.0751387 | − | 0.0108033i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.83176 | + | 23.2668i | 0.275932 | + | 0.939739i | 0.974536 | + | 0.224230i | \(0.0719868\pi\) |
−0.698604 | + | 0.715509i | \(0.746195\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.01580 | + | 25.4417i | 0.0409610 | + | 1.02591i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.49179 | + | 9.80004i | 0.341866 | + | 0.394535i | 0.900483 | − | 0.434891i | \(-0.143213\pi\) |
−0.558617 | + | 0.829426i | \(0.688668\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 29.8559 | + | 13.6347i | 1.20001 | + | 0.548027i | 0.912233 | − | 0.409671i | \(-0.134356\pi\) |
0.287777 | + | 0.957697i | \(0.407084\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 14.7780 | + | 20.0652i | 0.593020 | + | 0.805187i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −40.0180 | − | 18.2756i | −1.60329 | − | 0.732198i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.85642 | + | 3.29649i | 0.114257 | + | 0.131860i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.14153 | + | 28.5907i | 0.0455881 | + | 1.14180i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 11.1884 | + | 38.1040i | 0.446109 | + | 1.51931i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.48051 | − | 1.36309i | 0.377413 | − | 0.0542638i | 0.0490020 | − | 0.998799i | \(-0.484396\pi\) |
0.328411 | + | 0.944535i | \(0.393487\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0.168857 | − | 0.412556i | 0.00671148 | − | 0.0163976i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 33.7252 | + | 21.6739i | 1.33835 | + | 0.860103i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.42273 | − | 9.89529i | 0.0563705 | − | 0.392066i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.63328 | + | 3.69481i | −0.262409 | + | 0.146164i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −40.3625 | − | 11.8515i | −1.59422 | − | 0.468106i | −0.640291 | − | 0.768132i | \(-0.721186\pi\) |
−0.953931 | + | 0.300026i | \(0.903005\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 18.8143i | − | 0.741965i | −0.928640 | − | 0.370983i | \(-0.879021\pi\) | ||
0.928640 | − | 0.370983i | \(-0.120979\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −15.9548 | + | 14.9802i | −0.628219 | + | 0.589844i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.925764 | + | 3.15286i | −0.0363955 | + | 0.123952i | −0.975687 | − | 0.219168i | \(-0.929666\pi\) |
0.939292 | + | 0.343120i | \(0.111484\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.8300 | − | 18.4078i | −0.464367 | − | 0.722569i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −33.2529 | − | 47.4659i | −1.30328 | − | 1.86034i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 10.0112 | − | 15.5777i | 0.391768 | − | 0.609603i | −0.588210 | − | 0.808708i | \(-0.700167\pi\) |
0.979978 | + | 0.199105i | \(0.0638036\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.41546 | − | 2.47316i | 0.211599 | − | 0.0966342i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.415451 | − | 0.0332280i | 0.0162083 | − | 0.00129635i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −24.2171 | + | 7.11079i | −0.943365 | + | 0.276997i | −0.717022 | − | 0.697051i | \(-0.754495\pi\) |
−0.226343 | + | 0.974048i | \(0.572677\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.45697 | + | 8.19451i | 0.367834 | + | 0.318730i | 0.819090 | − | 0.573665i | \(-0.194479\pi\) |
−0.451257 | + | 0.892394i | \(0.649024\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.38487 | − | 13.4116i | 0.0537837 | − | 0.520862i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −20.9856 | + | 45.9520i | −0.813785 | + | 1.78194i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.64132 | − | 18.8858i | −0.0635523 | − | 0.731260i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −19.5153 | + | 6.58660i | −0.754504 | + | 0.254652i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −41.4906 | + | 35.9518i | −1.60173 | + | 1.38791i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −21.0685 | + | 24.3144i | −0.812133 | + | 0.937251i | −0.998981 | − | 0.0451379i | \(-0.985627\pi\) |
0.186848 | + | 0.982389i | \(0.440173\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 22.3598 | − | 33.0877i | 0.860630 | − | 1.27354i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.58335 | + | 24.9227i | 0.137719 | + | 0.957859i | 0.935100 | + | 0.354383i | \(0.115309\pi\) |
−0.797381 | + | 0.603476i | \(0.793782\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.00742 | + | 15.3441i | 0.268920 | + | 0.588853i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.49532 | − | 13.5053i | −0.0956208 | − | 0.517525i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 20.9492 | + | 3.01204i | 0.801600 | + | 0.115253i | 0.530926 | − | 0.847418i | \(-0.321844\pi\) |
0.270674 | + | 0.962671i | \(0.412753\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 66.7375 | − | 42.8896i | 2.54991 | − | 1.63873i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 16.7113 | − | 8.45314i | 0.637575 | − | 0.322507i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.97649 | 0.113395 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −18.6701 | −0.710243 | −0.355122 | − | 0.934820i | \(-0.615561\pi\) | ||||
−0.355122 | + | 0.934820i | \(0.615561\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −46.4460 | − | 16.8798i | −1.76434 | − | 0.641212i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −16.8694 | + | 10.8413i | −0.639894 | + | 0.411235i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 22.7232 | + | 3.26711i | 0.860704 | + | 0.123751i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 29.9227 | − | 5.52869i | 1.13178 | − | 0.209114i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 17.7901 | + | 38.9549i | 0.671924 | + | 1.47131i | 0.870979 | + | 0.491320i | \(0.163485\pi\) |
−0.199055 | + | 0.979988i | \(0.563787\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.83232 | − | 26.6544i | −0.144539 | − | 1.00529i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.19042 | − | 7.13074i | 0.157820 | − | 0.268559i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −33.9636 | + | 39.1961i | −1.27733 | + | 1.47412i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 30.4079 | − | 26.3486i | 1.14199 | − | 0.989541i | 0.141992 | − | 0.989868i | \(-0.454649\pi\) |
1.00000 | 0.000326516i | \(0.000103933\pi\) | ||||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −21.3398 | + | 39.8746i | −0.800304 | + | 1.49541i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −37.7588 | − | 19.8745i | −1.41408 | − | 0.744307i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.07021 | + | 19.8610i | −0.339207 | + | 0.742759i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −9.38888 | − | 0.969487i | −0.350634 | − | 0.0362062i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −7.58627 | − | 6.57354i | −0.282920 | − | 0.245152i | 0.501827 | − | 0.864968i | \(-0.332662\pi\) |
−0.784747 | + | 0.619817i | \(0.787207\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −56.4958 | + | 16.5887i | −2.10401 | + | 0.617794i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 24.9160 | + | 19.9063i | 0.926636 | + | 0.740325i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −27.6335 | + | 12.6198i | −1.02628 | + | 0.468687i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.8800 | − | 40.2700i | 0.959835 | − | 1.49353i | 0.0925585 | − | 0.995707i | \(-0.470495\pi\) |
0.867277 | − | 0.497826i | \(-0.165868\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.5276 | + | 8.79428i | 0.945468 | + | 0.325714i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 10.6679 | + | 16.5996i | 0.394567 | + | 0.613958i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.84509 | + | 26.7179i | −0.289765 | + | 0.986849i | 0.678014 | + | 0.735049i | \(0.262841\pi\) |
−0.967779 | + | 0.251800i | \(0.918977\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −30.1621 | − | 32.1244i | −1.11255 | − | 1.18493i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 40.0527i | 1.47536i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −44.1075 | − | 12.9511i | −1.62252 | − | 0.476416i | −0.660828 | − | 0.750538i | \(-0.729795\pi\) |
−0.961695 | + | 0.274122i | \(0.911613\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.22373 | + | 8.86795i | −0.0816907 | + | 0.325772i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −0.664955 | + | 4.62486i | −0.0243948 | + | 0.169670i | −0.998377 | − | 0.0569563i | \(-0.981860\pi\) |
0.973982 | + | 0.226626i | \(0.0727695\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −48.1158 | − | 30.9222i | −1.76283 | − | 1.13290i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −11.5719 | + | 4.42733i | −0.423395 | + | 0.161988i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 39.0442 | − | 5.61371i | 1.42664 | − | 0.205121i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.87023 | − | 16.5865i | −0.177717 | − | 0.605249i | −0.999378 | − | 0.0352720i | \(-0.988770\pi\) |
0.821661 | − | 0.569977i | \(-0.193048\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 15.1042 | − | 0.603056i | 0.550426 | − | 0.0219766i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −56.4869 | − | 65.1893i | −2.05577 | − | 2.37248i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.1388 | + | 7.37032i | 0.586573 | + | 0.267879i | 0.686516 | − | 0.727114i | \(-0.259139\pi\) |
−0.0999436 | + | 0.994993i | \(0.531866\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −36.0935 | + | 4.59384i | −1.31011 | + | 0.166746i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 13.0329 | + | 5.95192i | 0.472442 | + | 0.215757i | 0.637384 | − | 0.770546i | \(-0.280016\pi\) |
−0.164942 | + | 0.986303i | \(0.552744\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −17.9670 | − | 20.7350i | −0.650449 | − | 0.750658i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −42.3753 | − | 41.6684i | −1.53208 | − | 1.50652i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.96973 | − | 6.70829i | −0.0711229 | − | 0.242222i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.7291 | − | 2.26150i | 0.567205 | − | 0.0815518i | 0.147254 | − | 0.989099i | \(-0.452956\pi\) |
0.419951 | + | 0.907547i | \(0.362047\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.18744 | + | 3.35108i | 0.294863 | + | 0.120686i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.60214 | − | 5.52826i | −0.309398 | − | 0.198838i | 0.376722 | − | 0.926326i | \(-0.377051\pi\) |
−0.686120 | + | 0.727488i | \(0.740687\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.73135 | + | 67.6830i | −0.349560 | + | 2.43125i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 45.1114 | + | 11.3121i | 1.61836 | + | 0.405821i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −14.9361 | − | 4.38564i | −0.535142 | − | 0.157132i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 11.0861i | − | 0.396693i | ||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −13.0885 | − | 15.8289i | −0.467746 | − | 0.565680i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.05068 | − | 24.0124i | 0.251650 | − | 0.857040i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.14042 | − | 11.1107i | −0.254528 | − | 0.396054i | 0.690350 | − | 0.723476i | \(-0.257457\pi\) |
−0.944878 | + | 0.327422i | \(0.893820\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 34.4410 | − | 24.1281i | 1.22613 | − | 0.858982i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 25.9637 | − | 40.4003i | 0.923163 | − | 1.43647i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.9563 | + | 7.28701i | −0.566626 | + | 0.258769i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 8.18923 | − | 10.2501i | 0.290442 | − | 0.363535i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −5.17788 | + | 1.52036i | −0.183410 | + | 0.0538540i | −0.372148 | − | 0.928173i | \(-0.621379\pi\) |
0.188738 | + | 0.982028i | \(0.439560\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.63571 | − | 4.88337i | −0.199377 | − | 0.172761i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −27.9168 | + | 21.2670i | −0.986391 | + | 0.751431i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.252790 | + | 0.553533i | −0.00892076 | + | 0.0195337i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −60.5232 | − | 21.5257i | −2.13316 | − | 0.758683i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.26671 | − | 6.71598i | −0.0797919 | − | 0.236414i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −22.4795 | + | 19.4786i | −0.790339 | + | 0.684832i | −0.953375 | − | 0.301788i | \(-0.902417\pi\) |
0.163037 | + | 0.986620i | \(0.447871\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.2406 | − | 21.0507i | 0.640513 | − | 0.739192i | −0.338952 | − | 0.940804i | \(-0.610073\pi\) |
0.979465 | + | 0.201612i | \(0.0646180\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −22.1284 | − | 13.0039i | −0.776076 | − | 0.456065i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.91618 | + | 48.1031i | 0.242263 | + | 1.68498i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.55821 | − | 12.1708i | −0.194457 | − | 0.425802i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −12.7197 | − | 9.35594i | −0.444461 | − | 0.326923i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −15.4121 | − | 2.21593i | −0.537887 | − | 0.0773365i | −0.131983 | − | 0.991252i | \(-0.542134\pi\) |
−0.405904 | + | 0.913916i | \(0.633043\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.36015 | − | 4.73008i | 0.256559 | − | 0.164880i | −0.406039 | − | 0.913856i | \(-0.633090\pi\) |
0.662598 | + | 0.748975i | \(0.269454\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 26.3182 | + | 52.0293i | 0.916282 | + | 1.81143i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 51.2667 | 1.78272 | 0.891359 | − | 0.453299i | \(-0.149753\pi\) | ||||
0.891359 | + | 0.453299i | \(0.149753\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 23.3643 | 0.811475 | 0.405738 | − | 0.913990i | \(-0.367015\pi\) | ||||
0.405738 | + | 0.913990i | \(0.367015\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 10.2390 | + | 20.2417i | 0.355186 | + | 0.702178i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −33.4227 | + | 21.4795i | −1.15803 | + | 0.744220i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.2731 | + | 1.62082i | 0.390121 | + | 0.0560909i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −45.9008 | + | 5.52146i | −1.58656 | + | 0.190849i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −5.54213 | − | 12.1356i | −0.191336 | − | 0.418967i | 0.789514 | − | 0.613732i | \(-0.210333\pi\) |
−0.980850 | + | 0.194766i | \(0.937605\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1.90351 | − | 13.2392i | −0.0656384 | − | 0.456525i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 15.8367 | + | 9.30655i | 0.545446 | + | 0.320535i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 25.7525 | − | 29.7199i | 0.885912 | − | 1.02240i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 23.2665 | − | 20.1605i | 0.799445 | − | 0.692723i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 2.92598 | + | 8.66932i | 0.100419 | + | 0.297530i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 33.3444 | − | 7.78941i | 1.14303 | − | 0.267018i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.81504 | − | 10.5435i | 0.164864 | − | 0.361002i | −0.809111 | − | 0.587655i | \(-0.800051\pi\) |
0.973975 | + | 0.226653i | \(0.0727785\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 24.4204 | + | 32.0563i | 0.835161 | + | 1.09630i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −18.7706 | − | 16.2649i | −0.641193 | − | 0.555597i | 0.272422 | − | 0.962178i | \(-0.412175\pi\) |
−0.913615 | + | 0.406581i | \(0.866721\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 30.4932 | − | 8.95363i | 1.04042 | − | 0.305494i | 0.283477 | − | 0.958979i | \(-0.408512\pi\) |
0.756939 | + | 0.653485i | \(0.226694\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 16.7814 | − | 21.0046i | 0.571909 | − | 0.715837i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 9.63614 | − | 4.40068i | 0.328018 | − | 0.149801i | −0.244598 | − | 0.969625i | \(-0.578656\pi\) |
0.572616 | + | 0.819824i | \(0.305929\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 29.6893 | − | 46.1975i | 1.00947 | − | 1.57076i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −19.7694 | + | 13.8497i | −0.671404 | + | 0.470361i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −35.6999 | − | 55.5502i | −1.21104 | − | 1.88441i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.60549 | + | 12.2792i | −0.122167 | + | 0.416064i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 13.4296 | + | 0.847040i | 0.454524 | + | 0.0286680i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 35.9690i | 1.21597i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −43.0611 | − | 12.6439i | −1.45407 | − | 0.426953i | −0.543184 | − | 0.839613i | \(-0.682782\pi\) |
−0.910885 | + | 0.412660i | \(0.864600\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 9.23589 | + | 2.31599i | 0.311519 | + | 0.0781165i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −5.08231 | + | 35.3483i | −0.171227 | + | 1.19091i | 0.705068 | + | 0.709139i | \(0.250916\pi\) |
−0.876296 | + | 0.481774i | \(0.839993\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −30.3021 | − | 19.4740i | −1.01975 | − | 0.655351i | −0.0798482 | − | 0.996807i | \(-0.525444\pi\) |
−0.939898 | + | 0.341456i | \(0.889080\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −28.5207 | − | 11.6734i | −0.958713 | − | 0.392397i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −7.21836 | + | 1.03784i | −0.242369 | + | 0.0348474i | −0.262429 | − | 0.964951i | \(-0.584523\pi\) |
0.0200599 | + | 0.999799i | \(0.493614\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11.9257 | − | 40.6153i | −0.399976 | − | 1.36219i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −29.3546 | + | 26.3133i | −0.983415 | + | 0.881529i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 3.31133 | + | 3.82148i | 0.110809 | + | 0.127881i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 32.3459 | + | 14.7719i | 1.08120 | + | 0.493770i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −11.4789 | − | 1.84073i | −0.383270 | − | 0.0614602i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 31.9911 | + | 14.6098i | 1.06696 | + | 0.487265i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.74633 | − | 8.93975i | −0.258068 | − | 0.297826i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 23.0900 | − | 0.921902i | 0.768386 | − | 0.0306790i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −5.18956 | − | 17.6740i | −0.172507 | − | 0.587504i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −57.0557 | + | 8.20337i | −1.89450 | + | 0.272388i | −0.988539 | − | 0.150968i | \(-0.951761\pi\) |
−0.905963 | + | 0.423356i | \(0.860852\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 14.7838 | + | 38.6412i | 0.490349 | + | 1.28165i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −17.8076 | − | 11.4443i | −0.589994 | − | 0.379166i | 0.211314 | − | 0.977418i | \(-0.432226\pi\) |
−0.801308 | + | 0.598252i | \(0.795862\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.57450 | − | 17.9060i | 0.0852035 | − | 0.592604i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −18.8064 | + | 74.9977i | −0.621722 | + | 2.47935i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −6.03158 | − | 1.77103i | −0.199180 | − | 0.0584846i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 16.0940i | − | 0.530892i | −0.964126 | − | 0.265446i | \(-0.914481\pi\) | ||
0.964126 | − | 0.265446i | \(-0.0855192\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −14.8526 | − | 15.8189i | −0.489409 | − | 0.521250i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.997959 | − | 3.39874i | 0.0328482 | − | 0.111871i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −29.6668 | − | 46.1624i | −0.975437 | − | 1.51781i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −9.59790 | + | 45.9793i | −0.315236 | + | 1.51016i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 30.6763 | − | 47.7333i | 1.00646 | − | 1.56608i | 0.195726 | − | 0.980659i | \(-0.437294\pi\) |
0.810731 | − | 0.585419i | \(-0.199070\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 24.5055 | − | 11.1913i | 0.803135 | − | 0.366780i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 8.40525 | + | 6.71527i | 0.275175 | + | 0.219848i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 83.2569 | − | 24.4464i | 2.72279 | − | 0.799484i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.41497 | + | 4.69210i | 0.176899 | + | 0.153284i | 0.738810 | − | 0.673914i | \(-0.235388\pi\) |
−0.561911 | + | 0.827198i | \(0.689934\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 43.7787 | + | 4.52054i | 1.42866 | + | 0.147522i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −5.61221 | + | 12.2890i | −0.182953 | + | 0.400611i | −0.978780 | − | 0.204913i | \(-0.934309\pi\) |
0.795827 | + | 0.605524i | \(0.207036\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.91140 | − | 19.4042i | 0.127373 | − | 0.631888i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −67.2148 | + | 18.0618i | −2.18650 | + | 0.587549i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 16.1567 | − | 13.9999i | 0.525023 | − | 0.454935i | −0.351574 | − | 0.936160i | \(-0.614353\pi\) |
0.876597 | + | 0.481225i | \(0.159808\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.127327 | + | 0.146944i | −0.00413322 | + | 0.00476999i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −20.9837 | + | 35.7075i | −0.680444 | + | 1.15790i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −4.56726 | − | 31.7660i | −0.147948 | − | 1.02900i | −0.919572 | − | 0.392922i | \(-0.871464\pi\) |
0.771624 | − | 0.636079i | \(-0.219445\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 12.0029 | + | 26.2828i | 0.388406 | + | 0.850491i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 29.4897 | − | 5.44868i | 0.953267 | − | 0.176131i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −82.9124 | − | 11.9210i | −2.67738 | − | 0.384949i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 40.5163 | − | 26.0383i | 1.30698 | − | 0.839944i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 10.7481 | − | 29.5741i | 0.346352 | − | 0.953011i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −29.8589 | −0.961191 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.8845 | 0.414339 | 0.207170 | − | 0.978305i | \(-0.433575\pi\) | ||||
0.207170 | + | 0.978305i | \(0.433575\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 32.4218 | − | 16.4000i | 1.04154 | − | 0.526845i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −24.9458 | + | 16.0317i | −0.800548 | + | 0.514481i | −0.875795 | − | 0.482684i | \(-0.839662\pi\) |
0.0752468 | + | 0.997165i | \(0.476026\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.9580 | + | 3.01330i | 0.671882 | + | 0.0966021i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 3.38490 | + | 18.3200i | 0.108404 | + | 0.586710i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 18.9985 | + | 41.6008i | 0.607815 | + | 1.33093i | 0.924059 | + | 0.382251i | \(0.124851\pi\) |
−0.316244 | + | 0.948678i | \(0.602422\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −7.29228 | − | 50.7189i | −0.233062 | − | 1.62098i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −21.3465 | + | 4.83202i | −0.681540 | + | 0.154275i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −19.7737 | + | 22.8201i | −0.630684 | + | 0.727848i | −0.977699 | − | 0.210012i | \(-0.932650\pi\) |
0.347015 | + | 0.937859i | \(0.387195\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −25.7886 | + | 22.3459i | −0.821693 | + | 0.712001i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −8.27455 | + | 2.79274i | −0.263382 | + | 0.0888939i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 14.8062 | − | 8.38121i | 0.470811 | − | 0.266507i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −10.7485 | + | 23.5359i | −0.341436 | + | 0.747641i | −0.999988 | − | 0.00489411i | \(-0.998442\pi\) |
0.658552 | + | 0.752536i | \(0.271169\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −1.17733 | + | 11.4017i | −0.0373613 | + | 0.361821i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −55.8141 | − | 48.3632i | −1.76943 | − | 1.53322i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 5.51225 | − | 1.61854i | 0.174575 | − | 0.0512597i | −0.193277 | − | 0.981144i | \(-0.561912\pi\) |
0.367852 | + | 0.929884i | \(0.380093\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 24.9363 | − | 27.4703i | 0.788949 | − | 0.869123i |
(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 | 552.2.u.a.17.9 | yes | 240 | |
3.2 | odd | 2 | inner | 552.2.u.a.17.5 | ✓ | 240 | |
23.19 | odd | 22 | inner | 552.2.u.a.65.5 | yes | 240 | |
69.65 | even | 22 | inner | 552.2.u.a.65.9 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.u.a.17.5 | ✓ | 240 | 3.2 | odd | 2 | inner | |
552.2.u.a.17.9 | yes | 240 | 1.1 | even | 1 | trivial | |
552.2.u.a.65.5 | yes | 240 | 23.19 | odd | 22 | inner | |
552.2.u.a.65.9 | yes | 240 | 69.65 | even | 22 | inner |