Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [190,2,Mod(61,190)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(190, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("190.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 190 = 2 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 190.k (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.51715763840\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 81.2 | ||
Root | \(-0.0180720 + 0.0313015i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 190.81 |
Dual form | 190.2.k.d.61.2 |
$q$-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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 0.00627632 | − | 0.0355948i | 0.00362364 | − | 0.0205507i | −0.982942 | − | 0.183914i | \(-0.941123\pi\) |
0.986566 | + | 0.163363i | \(0.0522343\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.766044 | + | 0.642788i | 0.342585 | + | 0.287463i | ||||
\(6\) | −0.00627632 | − | 0.0355948i | −0.00256230 | − | 0.0145315i | ||||
\(7\) | −0.918706 | − | 1.59124i | −0.347238 | − | 0.601434i | 0.638520 | − | 0.769605i | \(-0.279547\pi\) |
−0.985758 | + | 0.168172i | \(0.946214\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 2.81785 | + | 1.02561i | 0.939283 | + | 0.341871i | ||||
\(10\) | 0.939693 | + | 0.342020i | 0.297157 | + | 0.108156i | ||||
\(11\) | 1.23288 | − | 2.13541i | 0.371727 | − | 0.643850i | −0.618105 | − | 0.786096i | \(-0.712099\pi\) |
0.989831 | + | 0.142246i | \(0.0454325\pi\) | |||||||
\(12\) | −0.0180720 | − | 0.0313015i | −0.00521692 | − | 0.00903598i | ||||
\(13\) | 0.415556 | + | 2.35673i | 0.115254 | + | 0.653641i | 0.986624 | + | 0.163013i | \(0.0521213\pi\) |
−0.871369 | + | 0.490627i | \(0.836768\pi\) | |||||||
\(14\) | −1.40754 | − | 1.18107i | −0.376180 | − | 0.315653i | ||||
\(15\) | 0.0276878 | − | 0.0232329i | 0.00714897 | − | 0.00599870i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −6.33539 | + | 2.30589i | −1.53656 | + | 0.559261i | −0.965217 | − | 0.261451i | \(-0.915799\pi\) |
−0.571341 | + | 0.820712i | \(0.693577\pi\) | |||||||
\(18\) | 2.99869 | 0.706799 | ||||||||
\(19\) | −4.34868 | + | 0.298357i | −0.997655 | + | 0.0684477i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | −0.0624061 | + | 0.0227140i | −0.0136181 | + | 0.00495660i | ||||
\(22\) | 0.428174 | − | 2.42830i | 0.0912870 | − | 0.517714i | ||||
\(23\) | 1.24170 | − | 1.04191i | 0.258912 | − | 0.217253i | −0.504087 | − | 0.863653i | \(-0.668171\pi\) |
0.762998 | + | 0.646400i | \(0.223726\pi\) | |||||||
\(24\) | −0.0276878 | − | 0.0232329i | −0.00565176 | − | 0.00474239i | ||||
\(25\) | 0.173648 | + | 0.984808i | 0.0347296 | + | 0.196962i | ||||
\(26\) | 1.19655 | + | 2.07248i | 0.234662 | + | 0.406446i | ||||
\(27\) | 0.108408 | − | 0.187768i | 0.0208632 | − | 0.0361360i | ||||
\(28\) | −1.72660 | − | 0.628432i | −0.326297 | − | 0.118762i | ||||
\(29\) | −3.10246 | − | 1.12920i | −0.576113 | − | 0.209688i | 0.0374978 | − | 0.999297i | \(-0.488061\pi\) |
−0.613611 | + | 0.789609i | \(0.710284\pi\) | |||||||
\(30\) | 0.0180720 | − | 0.0313015i | 0.00329947 | − | 0.00571485i | ||||
\(31\) | 1.75192 | + | 3.03441i | 0.314654 | + | 0.544997i | 0.979364 | − | 0.202105i | \(-0.0647782\pi\) |
−0.664710 | + | 0.747102i | \(0.731445\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | −0.0682715 | − | 0.0572866i | −0.0118845 | − | 0.00997231i | ||||
\(34\) | −5.16466 | + | 4.33366i | −0.885732 | + | 0.743217i | ||||
\(35\) | 0.319063 | − | 1.80950i | 0.0539315 | − | 0.305861i | ||||
\(36\) | 2.81785 | − | 1.02561i | 0.469642 | − | 0.170936i | ||||
\(37\) | −6.00888 | −0.987854 | −0.493927 | − | 0.869503i | \(-0.664439\pi\) | ||||
−0.493927 | + | 0.869503i | \(0.664439\pi\) | |||||||
\(38\) | −3.98437 | + | 1.76770i | −0.646351 | + | 0.286759i | ||||
\(39\) | 0.0864957 | 0.0138504 | ||||||||
\(40\) | 0.939693 | − | 0.342020i | 0.148578 | − | 0.0540781i | ||||
\(41\) | −1.38582 | + | 7.85939i | −0.216429 | + | 1.22743i | 0.661980 | + | 0.749521i | \(0.269716\pi\) |
−0.878409 | + | 0.477909i | \(0.841395\pi\) | |||||||
\(42\) | −0.0508739 | + | 0.0426883i | −0.00785002 | + | 0.00658695i | ||||
\(43\) | 4.37751 | + | 3.67317i | 0.667564 | + | 0.560153i | 0.912343 | − | 0.409426i | \(-0.134271\pi\) |
−0.244779 | + | 0.969579i | \(0.578715\pi\) | |||||||
\(44\) | −0.428174 | − | 2.42830i | −0.0645497 | − | 0.366079i | ||||
\(45\) | 1.49935 | + | 2.59694i | 0.223509 | + | 0.387130i | ||||
\(46\) | 0.810460 | − | 1.40376i | 0.119496 | − | 0.206973i | ||||
\(47\) | −11.7392 | − | 4.27274i | −1.71234 | − | 0.623243i | −0.715212 | − | 0.698908i | \(-0.753670\pi\) |
−0.997133 | + | 0.0756655i | \(0.975892\pi\) | |||||||
\(48\) | −0.0339642 | − | 0.0123619i | −0.00490231 | − | 0.00178429i | ||||
\(49\) | 1.81196 | − | 3.13841i | 0.258851 | − | 0.448344i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 0.0423149 | + | 0.239980i | 0.00592527 | + | 0.0336039i | ||||
\(52\) | 1.83321 | + | 1.53825i | 0.254221 | + | 0.213317i | ||||
\(53\) | −1.47185 | + | 1.23503i | −0.202174 | + | 0.169644i | −0.738253 | − | 0.674524i | \(-0.764349\pi\) |
0.536080 | + | 0.844167i | \(0.319905\pi\) | |||||||
\(54\) | 0.0376497 | − | 0.213522i | 0.00512348 | − | 0.0290567i | ||||
\(55\) | 2.31705 | − | 0.843338i | 0.312431 | − | 0.113716i | ||||
\(56\) | −1.83741 | −0.245534 | ||||||||
\(57\) | −0.0166738 | + | 0.156663i | −0.00220849 | + | 0.0207505i | ||||
\(58\) | −3.30157 | −0.433518 | ||||||||
\(59\) | 4.46726 | − | 1.62595i | 0.581587 | − | 0.211681i | −0.0344379 | − | 0.999407i | \(-0.510964\pi\) |
0.616025 | + | 0.787726i | \(0.288742\pi\) | |||||||
\(60\) | 0.00627632 | − | 0.0355948i | 0.000810270 | − | 0.00459527i | ||||
\(61\) | 10.4674 | − | 8.78317i | 1.34021 | − | 1.12457i | 0.358638 | − | 0.933477i | \(-0.383241\pi\) |
0.981572 | − | 0.191093i | \(-0.0612033\pi\) | |||||||
\(62\) | 2.68410 | + | 2.25222i | 0.340881 | + | 0.286033i | ||||
\(63\) | −0.956772 | − | 5.42613i | −0.120542 | − | 0.683628i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −1.19655 | + | 2.07248i | −0.148413 | + | 0.257059i | ||||
\(66\) | −0.0837473 | − | 0.0304815i | −0.0103086 | − | 0.00375202i | ||||
\(67\) | 3.49344 | + | 1.27151i | 0.426792 | + | 0.155340i | 0.546480 | − | 0.837472i | \(-0.315967\pi\) |
−0.119688 | + | 0.992812i | \(0.538190\pi\) | |||||||
\(68\) | −3.37099 | + | 5.83873i | −0.408793 | + | 0.708050i | ||||
\(69\) | −0.0292932 | − | 0.0507373i | −0.00352648 | − | 0.00610805i | ||||
\(70\) | −0.319063 | − | 1.80950i | −0.0381353 | − | 0.216276i | ||||
\(71\) | 4.46844 | + | 3.74946i | 0.530306 | + | 0.444980i | 0.868207 | − | 0.496202i | \(-0.165272\pi\) |
−0.337901 | + | 0.941182i | \(0.609717\pi\) | |||||||
\(72\) | 2.29713 | − | 1.92752i | 0.270720 | − | 0.227161i | ||||
\(73\) | −0.0886314 | + | 0.502654i | −0.0103735 | + | 0.0588311i | −0.989555 | − | 0.144155i | \(-0.953954\pi\) |
0.979182 | + | 0.202986i | \(0.0650647\pi\) | |||||||
\(74\) | −5.64650 | + | 2.05516i | −0.656393 | + | 0.238907i | ||||
\(75\) | 0.0361439 | 0.00417354 | ||||||||
\(76\) | −3.13950 | + | 3.02383i | −0.360125 | + | 0.346857i | ||||
\(77\) | −4.53061 | −0.516311 | ||||||||
\(78\) | 0.0812794 | − | 0.0295833i | 0.00920307 | − | 0.00334965i | ||||
\(79\) | 2.10729 | − | 11.9511i | 0.237089 | − | 1.34460i | −0.601080 | − | 0.799189i | \(-0.705263\pi\) |
0.838169 | − | 0.545411i | \(-0.183626\pi\) | |||||||
\(80\) | 0.766044 | − | 0.642788i | 0.0856464 | − | 0.0718658i | ||||
\(81\) | 6.88539 | + | 5.77753i | 0.765044 | + | 0.641948i | ||||
\(82\) | 1.38582 | + | 7.85939i | 0.153038 | + | 0.867924i | ||||
\(83\) | −3.11628 | − | 5.39755i | −0.342056 | − | 0.592459i | 0.642758 | − | 0.766069i | \(-0.277790\pi\) |
−0.984814 | + | 0.173610i | \(0.944457\pi\) | |||||||
\(84\) | −0.0332056 | + | 0.0575138i | −0.00362303 | + | 0.00627527i | ||||
\(85\) | −6.33539 | − | 2.30589i | −0.687170 | − | 0.250109i | ||||
\(86\) | 5.36981 | + | 1.95445i | 0.579042 | + | 0.210754i | ||||
\(87\) | −0.0596659 | + | 0.103344i | −0.00639685 | + | 0.0110797i | ||||
\(88\) | −1.23288 | − | 2.13541i | −0.131425 | − | 0.227635i | ||||
\(89\) | 2.95236 | + | 16.7437i | 0.312949 | + | 1.77482i | 0.583494 | + | 0.812117i | \(0.301685\pi\) |
−0.270545 | + | 0.962707i | \(0.587204\pi\) | |||||||
\(90\) | 2.29713 | + | 1.92752i | 0.242139 | + | 0.203179i | ||||
\(91\) | 3.36837 | − | 2.82640i | 0.353101 | − | 0.296287i | ||||
\(92\) | 0.281470 | − | 1.59629i | 0.0293452 | − | 0.166425i | ||||
\(93\) | 0.119005 | − | 0.0433143i | 0.0123402 | − | 0.00449148i | ||||
\(94\) | −12.4926 | −1.28852 | ||||||||
\(95\) | −3.52306 | − | 2.56672i | −0.361458 | − | 0.263340i | ||||
\(96\) | −0.0361439 | −0.00368892 | ||||||||
\(97\) | 12.8360 | − | 4.67194i | 1.30330 | − | 0.474363i | 0.405232 | − | 0.914214i | \(-0.367191\pi\) |
0.898071 | + | 0.439851i | \(0.144969\pi\) | |||||||
\(98\) | 0.629287 | − | 3.56887i | 0.0635676 | − | 0.360510i | ||||
\(99\) | 5.66417 | − | 4.75280i | 0.569270 | − | 0.477675i | ||||
\(100\) | 0.766044 | + | 0.642788i | 0.0766044 | + | 0.0642788i | ||||
\(101\) | −1.85079 | − | 10.4964i | −0.184161 | − | 1.04443i | −0.927029 | − | 0.374990i | \(-0.877646\pi\) |
0.742868 | − | 0.669438i | \(-0.233465\pi\) | |||||||
\(102\) | 0.121841 | + | 0.211034i | 0.0120640 | + | 0.0208955i | ||||
\(103\) | 4.87465 | − | 8.44314i | 0.480313 | − | 0.831927i | −0.519431 | − | 0.854512i | \(-0.673856\pi\) |
0.999745 | + | 0.0225848i | \(0.00718956\pi\) | |||||||
\(104\) | 2.24877 | + | 0.818485i | 0.220510 | + | 0.0802591i | ||||
\(105\) | −0.0624061 | − | 0.0227140i | −0.00609022 | − | 0.00221666i | ||||
\(106\) | −0.960680 | + | 1.66395i | −0.0933095 | + | 0.161617i | ||||
\(107\) | −6.64287 | − | 11.5058i | −0.642191 | − | 1.11231i | −0.984943 | − | 0.172881i | \(-0.944692\pi\) |
0.342752 | − | 0.939426i | \(-0.388641\pi\) | |||||||
\(108\) | −0.0376497 | − | 0.213522i | −0.00362285 | − | 0.0205462i | ||||
\(109\) | 1.10611 | + | 0.928135i | 0.105946 | + | 0.0888992i | 0.694222 | − | 0.719761i | \(-0.255749\pi\) |
−0.588276 | + | 0.808660i | \(0.700193\pi\) | |||||||
\(110\) | 1.88888 | − | 1.58496i | 0.180098 | − | 0.151120i | ||||
\(111\) | −0.0377137 | + | 0.213885i | −0.00357963 | + | 0.0203011i | ||||
\(112\) | −1.72660 | + | 0.628432i | −0.163149 | + | 0.0593812i | ||||
\(113\) | −0.841529 | −0.0791644 | −0.0395822 | − | 0.999216i | \(-0.512603\pi\) | ||||
−0.0395822 | + | 0.999216i | \(0.512603\pi\) | |||||||
\(114\) | 0.0379136 | + | 0.152918i | 0.00355094 | + | 0.0143221i | ||||
\(115\) | 1.62092 | 0.151151 | ||||||||
\(116\) | −3.10246 | + | 1.12920i | −0.288056 | + | 0.104844i | ||||
\(117\) | −1.24612 | + | 7.06713i | −0.115204 | + | 0.653356i | ||||
\(118\) | 3.64174 | − | 3.05578i | 0.335250 | − | 0.281308i | ||||
\(119\) | 9.48960 | + | 7.96272i | 0.869910 | + | 0.729941i | ||||
\(120\) | −0.00627632 | − | 0.0355948i | −0.000572947 | − | 0.00324935i | ||||
\(121\) | 2.46002 | + | 4.26089i | 0.223639 | + | 0.387353i | ||||
\(122\) | 6.83209 | − | 11.8335i | 0.618549 | − | 1.07136i | ||||
\(123\) | 0.271056 | + | 0.0986562i | 0.0244403 | + | 0.00889553i | ||||
\(124\) | 3.29253 | + | 1.19838i | 0.295678 | + | 0.107618i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | −2.75492 | − | 4.77166i | −0.245427 | − | 0.425093i | ||||
\(127\) | 2.25496 | + | 12.7885i | 0.200095 | + | 1.13480i | 0.904973 | + | 0.425469i | \(0.139891\pi\) |
−0.704878 | + | 0.709329i | \(0.748998\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 0.158220 | − | 0.132763i | 0.0139305 | − | 0.0116891i | ||||
\(130\) | −0.415556 | + | 2.35673i | −0.0364467 | + | 0.206699i | ||||
\(131\) | −8.39051 | + | 3.05389i | −0.733082 | + | 0.266820i | −0.681469 | − | 0.731847i | \(-0.738658\pi\) |
−0.0516131 | + | 0.998667i | \(0.516436\pi\) | |||||||
\(132\) | −0.0891221 | −0.00775708 | ||||||||
\(133\) | 4.46991 | + | 6.64571i | 0.387590 | + | 0.576256i | ||||
\(134\) | 3.71765 | 0.321156 | ||||||||
\(135\) | 0.203741 | − | 0.0741555i | 0.0175352 | − | 0.00638229i | ||||
\(136\) | −1.17073 | + | 6.63956i | −0.100390 | + | 0.569337i | ||||
\(137\) | 3.41165 | − | 2.86271i | 0.291477 | − | 0.244578i | −0.485309 | − | 0.874343i | \(-0.661293\pi\) |
0.776786 | + | 0.629764i | \(0.216849\pi\) | |||||||
\(138\) | −0.0448798 | − | 0.0376586i | −0.00382042 | − | 0.00320571i | ||||
\(139\) | −0.210369 | − | 1.19306i | −0.0178433 | − | 0.101194i | 0.974585 | − | 0.224016i | \(-0.0719168\pi\) |
−0.992429 | + | 0.122822i | \(0.960806\pi\) | |||||||
\(140\) | −0.918706 | − | 1.59124i | −0.0776448 | − | 0.134485i | ||||
\(141\) | −0.225767 | + | 0.391039i | −0.0190130 | + | 0.0329314i | ||||
\(142\) | 5.48135 | + | 1.99505i | 0.459985 | + | 0.167421i | ||||
\(143\) | 5.54492 | + | 2.01819i | 0.463689 | + | 0.168769i | ||||
\(144\) | 1.49935 | − | 2.59694i | 0.124946 | − | 0.216412i | ||||
\(145\) | −1.65079 | − | 2.85924i | −0.137090 | − | 0.237447i | ||||
\(146\) | 0.0886314 | + | 0.502654i | 0.00733519 | + | 0.0415999i | ||||
\(147\) | −0.100339 | − | 0.0841940i | −0.00827578 | − | 0.00694421i | ||||
\(148\) | −4.60307 | + | 3.86244i | −0.378370 | + | 0.317490i | ||||
\(149\) | 1.61216 | − | 9.14300i | 0.132073 | − | 0.749024i | −0.844780 | − | 0.535114i | \(-0.820269\pi\) |
0.976853 | − | 0.213910i | \(-0.0686201\pi\) | |||||||
\(150\) | 0.0339642 | − | 0.0123619i | 0.00277316 | − | 0.00100935i | ||||
\(151\) | −3.34570 | −0.272269 | −0.136135 | − | 0.990690i | \(-0.543468\pi\) | ||||
−0.136135 | + | 0.990690i | \(0.543468\pi\) | |||||||
\(152\) | −1.91595 | + | 3.91524i | −0.155404 | + | 0.317568i | ||||
\(153\) | −20.2171 | −1.63446 | ||||||||
\(154\) | −4.25738 | + | 1.54956i | −0.343069 | + | 0.124867i | ||||
\(155\) | −0.608435 | + | 3.45061i | −0.0488707 | + | 0.277160i | ||||
\(156\) | 0.0662595 | − | 0.0555984i | 0.00530501 | − | 0.00445143i | ||||
\(157\) | 5.40304 | + | 4.53369i | 0.431210 | + | 0.361828i | 0.832408 | − | 0.554163i | \(-0.186962\pi\) |
−0.401198 | + | 0.915991i | \(0.631406\pi\) | |||||||
\(158\) | −2.10729 | − | 11.9511i | −0.167647 | − | 0.950775i | ||||
\(159\) | 0.0347227 | + | 0.0601415i | 0.00275369 | + | 0.00476953i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | −2.79868 | − | 1.01864i | −0.220567 | − | 0.0802798i | ||||
\(162\) | 8.44619 | + | 3.07416i | 0.663595 | + | 0.241529i | ||||
\(163\) | 7.92794 | − | 13.7316i | 0.620964 | − | 1.07554i | −0.368343 | − | 0.929690i | \(-0.620075\pi\) |
0.989307 | − | 0.145851i | \(-0.0465920\pi\) | |||||||
\(164\) | 3.99032 | + | 6.91143i | 0.311591 | + | 0.539692i | ||||
\(165\) | −0.0154759 | − | 0.0877681i | −0.00120480 | − | 0.00683274i | ||||
\(166\) | −4.77442 | − | 4.00621i | −0.370567 | − | 0.310942i | ||||
\(167\) | −10.4379 | + | 8.75846i | −0.807711 | + | 0.677750i | −0.950060 | − | 0.312066i | \(-0.898979\pi\) |
0.142349 | + | 0.989817i | \(0.454534\pi\) | |||||||
\(168\) | −0.0115322 | + | 0.0654023i | −0.000889728 | + | 0.00504590i | ||||
\(169\) | 6.83449 | − | 2.48755i | 0.525730 | − | 0.191350i | ||||
\(170\) | −6.74198 | −0.517086 | ||||||||
\(171\) | −12.5599 | − | 3.61934i | −0.960481 | − | 0.276778i | ||||
\(172\) | 5.71443 | 0.435721 | ||||||||
\(173\) | −11.3134 | + | 4.11774i | −0.860142 | + | 0.313066i | −0.734168 | − | 0.678968i | \(-0.762428\pi\) |
−0.125973 | + | 0.992034i | \(0.540205\pi\) | |||||||
\(174\) | −0.0207217 | + | 0.117519i | −0.00157091 | + | 0.00890908i | ||||
\(175\) | 1.40754 | − | 1.18107i | 0.106400 | − | 0.0892801i | ||||
\(176\) | −1.88888 | − | 1.58496i | −0.142380 | − | 0.119471i | ||||
\(177\) | −0.0298374 | − | 0.169216i | −0.00224271 | − | 0.0127191i | ||||
\(178\) | 8.50098 | + | 14.7241i | 0.637175 | + | 1.10362i | ||||
\(179\) | −8.03649 | + | 13.9196i | −0.600675 | + | 1.04040i | 0.392044 | + | 0.919947i | \(0.371768\pi\) |
−0.992719 | + | 0.120454i | \(0.961565\pi\) | |||||||
\(180\) | 2.81785 | + | 1.02561i | 0.210030 | + | 0.0764447i | ||||
\(181\) | −5.40615 | − | 1.96768i | −0.401836 | − | 0.146256i | 0.133193 | − | 0.991090i | \(-0.457477\pi\) |
−0.535029 | + | 0.844834i | \(0.679699\pi\) | |||||||
\(182\) | 2.19855 | − | 3.80799i | 0.162967 | − | 0.282267i | ||||
\(183\) | −0.246939 | − | 0.427710i | −0.0182542 | − | 0.0316173i | ||||
\(184\) | −0.281470 | − | 1.59629i | −0.0207502 | − | 0.117680i | ||||
\(185\) | −4.60307 | − | 3.86244i | −0.338425 | − | 0.283972i | ||||
\(186\) | 0.0970138 | − | 0.0814042i | 0.00711339 | − | 0.00596885i | ||||
\(187\) | −2.88674 | + | 16.3715i | −0.211099 | + | 1.19720i | ||||
\(188\) | −11.7392 | + | 4.27274i | −0.856172 | + | 0.311621i | ||||
\(189\) | −0.398381 | −0.0289779 | ||||||||
\(190\) | −4.18846 | − | 1.20697i | −0.303863 | − | 0.0875629i | ||||
\(191\) | −20.5460 | −1.48666 | −0.743329 | − | 0.668926i | \(-0.766754\pi\) | ||||
−0.743329 | + | 0.668926i | \(0.766754\pi\) | |||||||
\(192\) | −0.0339642 | + | 0.0123619i | −0.00245115 | + | 0.000892147i | ||||
\(193\) | −2.17302 | + | 12.3238i | −0.156418 | + | 0.887089i | 0.801060 | + | 0.598583i | \(0.204269\pi\) |
−0.957478 | + | 0.288506i | \(0.906842\pi\) | |||||||
\(194\) | 10.4640 | − | 8.78037i | 0.751274 | − | 0.630394i | ||||
\(195\) | 0.0662595 | + | 0.0555984i | 0.00474494 | + | 0.00398148i | ||||
\(196\) | −0.629287 | − | 3.56887i | −0.0449491 | − | 0.254919i | ||||
\(197\) | −3.01173 | − | 5.21647i | −0.214577 | − | 0.371658i | 0.738565 | − | 0.674183i | \(-0.235504\pi\) |
−0.953142 | + | 0.302524i | \(0.902171\pi\) | |||||||
\(198\) | 3.69702 | − | 6.40343i | 0.262736 | − | 0.455072i | ||||
\(199\) | −10.5749 | − | 3.84894i | −0.749633 | − | 0.272844i | −0.0611814 | − | 0.998127i | \(-0.519487\pi\) |
−0.688451 | + | 0.725283i | \(0.741709\pi\) | |||||||
\(200\) | 0.939693 | + | 0.342020i | 0.0664463 | + | 0.0241845i | ||||
\(201\) | 0.0671851 | − | 0.116368i | 0.00473887 | − | 0.00820797i | ||||
\(202\) | −5.32914 | − | 9.23035i | −0.374957 | − | 0.649445i | ||||
\(203\) | 1.05341 | + | 5.97418i | 0.0739349 | + | 0.419305i | ||||
\(204\) | 0.186671 | + | 0.156636i | 0.0130696 | + | 0.0109667i | ||||
\(205\) | −6.11352 | + | 5.12985i | −0.426987 | + | 0.358284i | ||||
\(206\) | 1.69295 | − | 9.60119i | 0.117953 | − | 0.668946i | ||||
\(207\) | 4.56751 | − | 1.66244i | 0.317464 | − | 0.115547i | ||||
\(208\) | 2.39309 | 0.165931 | ||||||||
\(209\) | −4.72427 | + | 9.65403i | −0.326785 | + | 0.667783i | ||||
\(210\) | −0.0664112 | −0.00458281 | ||||||||
\(211\) | −13.2192 | + | 4.81141i | −0.910049 | + | 0.331231i | −0.754273 | − | 0.656561i | \(-0.772010\pi\) |
−0.155777 | + | 0.987792i | \(0.549788\pi\) | |||||||
\(212\) | −0.333641 | + | 1.89217i | −0.0229145 | + | 0.129955i | ||||
\(213\) | 0.161507 | − | 0.135520i | 0.0110663 | − | 0.00928570i | ||||
\(214\) | −10.1775 | − | 8.53991i | −0.695718 | − | 0.583776i | ||||
\(215\) | 0.992301 | + | 5.62762i | 0.0676744 | + | 0.383800i | ||||
\(216\) | −0.108408 | − | 0.187768i | −0.00737624 | − | 0.0127760i | ||||
\(217\) | 3.21900 | − | 5.57547i | 0.218520 | − | 0.378487i | ||||
\(218\) | 1.35684 | + | 0.493850i | 0.0918969 | + | 0.0334477i | ||||
\(219\) | 0.0173356 | + | 0.00630963i | 0.00117143 | + | 0.000426366i | ||||
\(220\) | 1.23288 | − | 2.13541i | 0.0831206 | − | 0.143969i | ||||
\(221\) | −8.06709 | − | 13.9726i | −0.542651 | − | 0.939899i | ||||
\(222\) | 0.0377137 | + | 0.213885i | 0.00253118 | + | 0.0143550i | ||||
\(223\) | 19.3828 | + | 16.2641i | 1.29797 | + | 1.08913i | 0.990492 | + | 0.137570i | \(0.0439293\pi\) |
0.307477 | + | 0.951555i | \(0.400515\pi\) | |||||||
\(224\) | −1.40754 | + | 1.18107i | −0.0940451 | + | 0.0789132i | ||||
\(225\) | −0.520718 | + | 2.95314i | −0.0347145 | + | 0.196876i | ||||
\(226\) | −0.790779 | + | 0.287820i | −0.0526018 | + | 0.0191455i | ||||
\(227\) | 22.0111 | 1.46093 | 0.730464 | − | 0.682951i | \(-0.239304\pi\) | ||||
0.730464 | + | 0.682951i | \(0.239304\pi\) | |||||||
\(228\) | 0.0879281 | + | 0.130728i | 0.00582318 | + | 0.00865770i | ||||
\(229\) | −5.29529 | −0.349923 | −0.174961 | − | 0.984575i | \(-0.555980\pi\) | ||||
−0.174961 | + | 0.984575i | \(0.555980\pi\) | |||||||
\(230\) | 1.52317 | − | 0.554387i | 0.100435 | − | 0.0365552i | ||||
\(231\) | −0.0284356 | + | 0.161266i | −0.00187092 | + | 0.0106105i | ||||
\(232\) | −2.52915 | + | 2.12221i | −0.166047 | + | 0.139330i | ||||
\(233\) | 15.7436 | + | 13.2104i | 1.03140 | + | 0.865445i | 0.991016 | − | 0.133740i | \(-0.0426986\pi\) |
0.0403803 | + | 0.999184i | \(0.487143\pi\) | |||||||
\(234\) | 1.24612 | + | 7.06713i | 0.0814617 | + | 0.461992i | ||||
\(235\) | −6.24632 | − | 10.8189i | −0.407465 | − | 0.705750i | ||||
\(236\) | 2.37698 | − | 4.11705i | 0.154728 | − | 0.267997i | ||||
\(237\) | −0.412170 | − | 0.150017i | −0.0267733 | − | 0.00974468i | ||||
\(238\) | 11.6407 | + | 4.23688i | 0.754556 | + | 0.274636i | ||||
\(239\) | −0.443585 | + | 0.768312i | −0.0286931 | + | 0.0496980i | −0.880015 | − | 0.474945i | \(-0.842468\pi\) |
0.851322 | + | 0.524643i | \(0.175801\pi\) | |||||||
\(240\) | −0.0180720 | − | 0.0313015i | −0.00116654 | − | 0.00202051i | ||||
\(241\) | −0.694839 | − | 3.94063i | −0.0447585 | − | 0.253838i | 0.954216 | − | 0.299119i | \(-0.0966928\pi\) |
−0.998974 | + | 0.0452809i | \(0.985582\pi\) | |||||||
\(242\) | 3.76898 | + | 3.16255i | 0.242279 | + | 0.203296i | ||||
\(243\) | 0.747138 | − | 0.626923i | 0.0479289 | − | 0.0402171i | ||||
\(244\) | 2.37276 | − | 13.4566i | 0.151900 | − | 0.861471i | ||||
\(245\) | 3.40537 | − | 1.23945i | 0.217561 | − | 0.0791858i | ||||
\(246\) | 0.288451 | 0.0183910 | ||||||||
\(247\) | −2.51027 | − | 10.1247i | −0.159724 | − | 0.644219i | ||||
\(248\) | 3.50384 | 0.222494 | ||||||||
\(249\) | −0.211684 | + | 0.0770466i | −0.0134149 | + | 0.00488263i | ||||
\(250\) | −0.173648 | + | 0.984808i | −0.0109825 | + | 0.0622847i | ||||
\(251\) | −9.70480 | + | 8.14329i | −0.612561 | + | 0.514000i | −0.895455 | − | 0.445151i | \(-0.853150\pi\) |
0.282894 | + | 0.959151i | \(0.408706\pi\) | |||||||
\(252\) | −4.22078 | − | 3.54165i | −0.265884 | − | 0.223103i | ||||
\(253\) | −0.694035 | − | 3.93607i | −0.0436336 | − | 0.247459i | ||||
\(254\) | 6.49290 | + | 11.2460i | 0.407401 | + | 0.705639i | ||||
\(255\) | −0.121841 | + | 0.211034i | −0.00762997 | + | 0.0132155i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 12.2581 | + | 4.46158i | 0.764639 | + | 0.278306i | 0.694752 | − | 0.719249i | \(-0.255514\pi\) |
0.0698866 | + | 0.997555i | \(0.477736\pi\) | |||||||
\(258\) | 0.103271 | − | 0.178871i | 0.00642937 | − | 0.0111360i | ||||
\(259\) | 5.52039 | + | 9.56160i | 0.343021 | + | 0.594129i | ||||
\(260\) | 0.415556 | + | 2.35673i | 0.0257717 | + | 0.146158i | ||||
\(261\) | −7.58415 | − | 6.36386i | −0.469447 | − | 0.393913i | ||||
\(262\) | −6.84000 | + | 5.73944i | −0.422577 | + | 0.354584i | ||||
\(263\) | 4.90583 | − | 27.8224i | 0.302507 | − | 1.71560i | −0.332508 | − | 0.943100i | \(-0.607895\pi\) |
0.635015 | − | 0.772500i | \(-0.280994\pi\) | |||||||
\(264\) | −0.0837473 | + | 0.0304815i | −0.00515429 | + | 0.00187601i | ||||
\(265\) | −1.92136 | −0.118028 | ||||||||
\(266\) | 6.47331 | + | 4.71612i | 0.396904 | + | 0.289164i | ||||
\(267\) | 0.614517 | 0.0376079 | ||||||||
\(268\) | 3.49344 | − | 1.27151i | 0.213396 | − | 0.0776698i | ||||
\(269\) | 5.13013 | − | 29.0944i | 0.312789 | − | 1.77392i | −0.271566 | − | 0.962420i | \(-0.587542\pi\) |
0.584356 | − | 0.811498i | \(-0.301347\pi\) | |||||||
\(270\) | 0.166091 | − | 0.139367i | 0.0101080 | − | 0.00848159i | ||||
\(271\) | 20.6918 | + | 17.3624i | 1.25693 | + | 1.05469i | 0.996001 | + | 0.0893367i | \(0.0284747\pi\) |
0.260933 | + | 0.965357i | \(0.415970\pi\) | |||||||
\(272\) | 1.17073 | + | 6.63956i | 0.0709861 | + | 0.402582i | ||||
\(273\) | −0.0794641 | − | 0.137636i | −0.00480938 | − | 0.00833010i | ||||
\(274\) | 2.22680 | − | 3.85692i | 0.134526 | − | 0.233005i | ||||
\(275\) | 2.31705 | + | 0.843338i | 0.139724 | + | 0.0508552i | ||||
\(276\) | −0.0550532 | − | 0.0200377i | −0.00331381 | − | 0.00120613i | ||||
\(277\) | 12.0889 | − | 20.9386i | 0.726352 | − | 1.25808i | −0.232063 | − | 0.972701i | \(-0.574547\pi\) |
0.958415 | − | 0.285378i | \(-0.0921192\pi\) | |||||||
\(278\) | −0.605735 | − | 1.04916i | −0.0363295 | − | 0.0629246i | ||||
\(279\) | 1.82451 | + | 10.3473i | 0.109231 | + | 0.619478i | ||||
\(280\) | −1.40754 | − | 1.18107i | −0.0841165 | − | 0.0705821i | ||||
\(281\) | 1.83928 | − | 1.54334i | 0.109722 | − | 0.0920681i | −0.586276 | − | 0.810111i | \(-0.699407\pi\) |
0.695998 | + | 0.718043i | \(0.254962\pi\) | |||||||
\(282\) | −0.0784079 | + | 0.444673i | −0.00466912 | + | 0.0264799i | ||||
\(283\) | −7.65937 | + | 2.78778i | −0.455302 | + | 0.165716i | −0.559483 | − | 0.828842i | \(-0.689000\pi\) |
0.104181 | + | 0.994558i | \(0.466778\pi\) | |||||||
\(284\) | 5.83313 | 0.346133 | ||||||||
\(285\) | −0.113474 | + | 0.109293i | −0.00672161 | + | 0.00647396i | ||||
\(286\) | 5.90078 | 0.348920 | ||||||||
\(287\) | 13.7794 | − | 5.01528i | 0.813371 | − | 0.296043i | ||||
\(288\) | 0.520718 | − | 2.95314i | 0.0306836 | − | 0.174015i | ||||
\(289\) | 21.7973 | − | 18.2901i | 1.28219 | − | 1.07589i | ||||
\(290\) | −2.52915 | − | 2.12221i | −0.148517 | − | 0.124620i | ||||
\(291\) | −0.0857335 | − | 0.486219i | −0.00502579 | − | 0.0285027i | ||||
\(292\) | 0.255204 | + | 0.442026i | 0.0149347 | + | 0.0258676i | ||||
\(293\) | −4.59878 | + | 7.96532i | −0.268664 | + | 0.465339i | −0.968517 | − | 0.248947i | \(-0.919915\pi\) |
0.699853 | + | 0.714287i | \(0.253249\pi\) | |||||||
\(294\) | −0.123083 | − | 0.0447987i | −0.00717837 | − | 0.00261271i | ||||
\(295\) | 4.46726 | + | 1.62595i | 0.260094 | + | 0.0946664i | ||||
\(296\) | −3.00444 | + | 5.20385i | −0.174630 | + | 0.302467i | ||||
\(297\) | −0.267308 | − | 0.462991i | −0.0155108 | − | 0.0268655i | ||||
\(298\) | −1.61216 | − | 9.14300i | −0.0933898 | − | 0.529640i | ||||
\(299\) | 2.97149 | + | 2.49338i | 0.171846 | + | 0.144196i | ||||
\(300\) | 0.0276878 | − | 0.0232329i | 0.00159856 | − | 0.00134135i | ||||
\(301\) | 1.82326 | − | 10.3402i | 0.105091 | − | 0.596002i | ||||
\(302\) | −3.14393 | + | 1.14430i | −0.180913 | + | 0.0658469i | ||||
\(303\) | −0.385232 | −0.0221310 | ||||||||
\(304\) | −0.461316 | + | 4.33442i | −0.0264583 | + | 0.248596i | ||||
\(305\) | 13.6642 | 0.782409 | ||||||||
\(306\) | −18.9979 | + | 6.91467i | −1.08604 | + | 0.395285i | ||||
\(307\) | −4.92243 | + | 27.9165i | −0.280938 | + | 1.59328i | 0.438506 | + | 0.898728i | \(0.355508\pi\) |
−0.719444 | + | 0.694550i | \(0.755603\pi\) | |||||||
\(308\) | −3.47065 | + | 2.91222i | −0.197758 | + | 0.165939i | ||||
\(309\) | −0.269937 | − | 0.226504i | −0.0153562 | − | 0.0128854i | ||||
\(310\) | 0.608435 | + | 3.45061i | 0.0345568 | + | 0.195981i | ||||
\(311\) | −8.72043 | − | 15.1042i | −0.494490 | − | 0.856482i | 0.505490 | − | 0.862833i | \(-0.331312\pi\) |
−0.999980 | + | 0.00635057i | \(0.997979\pi\) | |||||||
\(312\) | 0.0432478 | − | 0.0749075i | 0.00244843 | − | 0.00424080i | ||||
\(313\) | 12.4024 | + | 4.51409i | 0.701022 | + | 0.255151i | 0.667847 | − | 0.744298i | \(-0.267216\pi\) |
0.0331750 | + | 0.999450i | \(0.489438\pi\) | |||||||
\(314\) | 6.62781 | + | 2.41233i | 0.374029 | + | 0.136135i | ||||
\(315\) | 2.75492 | − | 4.77166i | 0.155222 | − | 0.268852i | ||||
\(316\) | −6.06771 | − | 10.5096i | −0.341336 | − | 0.591210i | ||||
\(317\) | −2.13351 | − | 12.0997i | −0.119830 | − | 0.679588i | −0.984245 | − | 0.176810i | \(-0.943422\pi\) |
0.864415 | − | 0.502778i | \(-0.167689\pi\) | |||||||
\(318\) | 0.0531983 | + | 0.0446387i | 0.00298321 | + | 0.00250321i | ||||
\(319\) | −6.23627 | + | 5.23285i | −0.349164 | + | 0.292983i | ||||
\(320\) | 0.173648 | − | 0.984808i | 0.00970723 | − | 0.0550524i | ||||
\(321\) | −0.451239 | + | 0.164238i | −0.0251857 | + | 0.00916685i | ||||
\(322\) | −2.97829 | −0.165974 | ||||||||
\(323\) | 26.8626 | − | 11.9178i | 1.49467 | − | 0.663124i | ||||
\(324\) | 8.98824 | 0.499347 | ||||||||
\(325\) | −2.24877 | + | 0.818485i | −0.124739 | + | 0.0454014i | ||||
\(326\) | 2.75334 | − | 15.6150i | 0.152494 | − | 0.864834i | ||||
\(327\) | 0.0399791 | − | 0.0335464i | 0.00221085 | − | 0.00185512i | ||||
\(328\) | 6.11352 | + | 5.12985i | 0.337563 | + | 0.283249i | ||||
\(329\) | 3.98594 | + | 22.6054i | 0.219752 | + | 1.24628i | ||||
\(330\) | −0.0445610 | − | 0.0771820i | −0.00245300 | − | 0.00424873i | ||||
\(331\) | −0.498297 | + | 0.863076i | −0.0273889 | + | 0.0474389i | −0.879395 | − | 0.476093i | \(-0.842053\pi\) |
0.852006 | + | 0.523532i | \(0.175386\pi\) | |||||||
\(332\) | −5.85669 | − | 2.13166i | −0.321428 | − | 0.116990i | ||||
\(333\) | −16.9321 | − | 6.16279i | −0.927875 | − | 0.337719i | ||||
\(334\) | −6.81287 | + | 11.8002i | −0.372784 | + | 0.645681i | ||||
\(335\) | 1.85882 | + | 3.21958i | 0.101558 | + | 0.175904i | ||||
\(336\) | 0.0115322 | + | 0.0654023i | 0.000629132 | + | 0.00356799i | ||||
\(337\) | 6.55672 | + | 5.50174i | 0.357167 | + | 0.299699i | 0.803660 | − | 0.595088i | \(-0.202883\pi\) |
−0.446493 | + | 0.894787i | \(0.647327\pi\) | |||||||
\(338\) | 5.57153 | − | 4.67507i | 0.303051 | − | 0.254290i | ||||
\(339\) | −0.00528171 | + | 0.0299541i | −0.000286863 | + | 0.00162688i | ||||
\(340\) | −6.33539 | + | 2.30589i | −0.343585 | + | 0.125055i | ||||
\(341\) | 8.63961 | 0.467861 | ||||||||
\(342\) | −13.0403 | + | 0.894680i | −0.705141 | + | 0.0483788i | ||||
\(343\) | −19.5205 | −1.05401 | ||||||||
\(344\) | 5.36981 | − | 1.95445i | 0.289521 | − | 0.105377i | ||||
\(345\) | 0.0101734 | − | 0.0576963i | 0.000547718 | − | 0.00310626i | ||||
\(346\) | −9.22276 | + | 7.73882i | −0.495819 | + | 0.416041i | ||||
\(347\) | −5.08479 | − | 4.26665i | −0.272966 | − | 0.229046i | 0.496020 | − | 0.868311i | \(-0.334794\pi\) |
−0.768986 | + | 0.639265i | \(0.779239\pi\) | |||||||
\(348\) | 0.0207217 | + | 0.117519i | 0.00111080 | + | 0.00629967i | ||||
\(349\) | −15.5221 | − | 26.8851i | −0.830881 | − | 1.43913i | −0.897341 | − | 0.441339i | \(-0.854504\pi\) |
0.0664599 | − | 0.997789i | \(-0.478830\pi\) | |||||||
\(350\) | 0.918706 | − | 1.59124i | 0.0491069 | − | 0.0850556i | ||||
\(351\) | 0.487570 | + | 0.177461i | 0.0260246 | + | 0.00947216i | ||||
\(352\) | −2.31705 | − | 0.843338i | −0.123499 | − | 0.0449501i | ||||
\(353\) | −8.88145 | + | 15.3831i | −0.472712 | + | 0.818761i | −0.999512 | − | 0.0312277i | \(-0.990058\pi\) |
0.526800 | + | 0.849989i | \(0.323392\pi\) | |||||||
\(354\) | −0.0859133 | − | 0.148806i | −0.00456624 | − | 0.00790896i | ||||
\(355\) | 1.01291 | + | 5.74451i | 0.0537598 | + | 0.304887i | ||||
\(356\) | 13.0243 | + | 10.9287i | 0.690284 | + | 0.579217i | ||||
\(357\) | 0.342991 | − | 0.287804i | 0.0181530 | − | 0.0152322i | ||||
\(358\) | −2.79104 | + | 15.8288i | −0.147511 | + | 0.836578i | ||||
\(359\) | 4.82640 | − | 1.75667i | 0.254728 | − | 0.0927134i | −0.211500 | − | 0.977378i | \(-0.567835\pi\) |
0.466228 | + | 0.884665i | \(0.345613\pi\) | |||||||
\(360\) | 2.99869 | 0.158045 | ||||||||
\(361\) | 18.8220 | − | 2.59491i | 0.990630 | − | 0.136574i | ||||
\(362\) | −5.75310 | −0.302376 | ||||||||
\(363\) | 0.167105 | − | 0.0608214i | 0.00877076 | − | 0.00319229i | ||||
\(364\) | 0.763547 | − | 4.33029i | 0.0400207 | − | 0.226969i | ||||
\(365\) | −0.390995 | + | 0.328084i | −0.0204656 | + | 0.0171727i | ||||
\(366\) | −0.378332 | − | 0.317458i | −0.0197757 | − | 0.0165938i | ||||
\(367\) | −0.997763 | − | 5.65859i | −0.0520828 | − | 0.295376i | 0.947629 | − | 0.319372i | \(-0.103472\pi\) |
−0.999712 | + | 0.0239963i | \(0.992361\pi\) | |||||||
\(368\) | −0.810460 | − | 1.40376i | −0.0422481 | − | 0.0731759i | ||||
\(369\) | −11.9657 | + | 20.7253i | −0.622911 | + | 1.07891i | ||||
\(370\) | −5.64650 | − | 2.05516i | −0.293548 | − | 0.106843i | ||||
\(371\) | 3.31742 | + | 1.20744i | 0.172232 | + | 0.0626873i | ||||
\(372\) | 0.0633212 | − | 0.109676i | 0.00328305 | − | 0.00568641i | ||||
\(373\) | −18.8927 | − | 32.7231i | −0.978227 | − | 1.69434i | −0.668848 | − | 0.743399i | \(-0.733212\pi\) |
−0.309379 | − | 0.950939i | \(-0.600121\pi\) | |||||||
\(374\) | 2.88674 | + | 16.3715i | 0.149270 | + | 0.846551i | ||||
\(375\) | 0.0276878 | + | 0.0232329i | 0.00142979 | + | 0.00119974i | ||||
\(376\) | −9.56992 | + | 8.03012i | −0.493531 | + | 0.414122i | ||||
\(377\) | 1.37199 | − | 7.78093i | 0.0706610 | − | 0.400738i | ||||
\(378\) | −0.374355 | + | 0.136254i | −0.0192548 | + | 0.00700816i | ||||
\(379\) | −32.2663 | −1.65741 | −0.828703 | − | 0.559689i | \(-0.810921\pi\) | ||||
−0.828703 | + | 0.559689i | \(0.810921\pi\) | |||||||
\(380\) | −4.34868 | + | 0.298357i | −0.223082 | + | 0.0153054i | ||||
\(381\) | 0.469358 | 0.0240459 | ||||||||
\(382\) | −19.3069 | + | 7.02715i | −0.987829 | + | 0.359540i | ||||
\(383\) | −3.78204 | + | 21.4490i | −0.193253 | + | 1.09599i | 0.721632 | + | 0.692277i | \(0.243392\pi\) |
−0.914885 | + | 0.403715i | \(0.867719\pi\) | |||||||
\(384\) | −0.0276878 | + | 0.0232329i | −0.00141294 | + | 0.00118560i | ||||
\(385\) | −3.47065 | − | 2.91222i | −0.176881 | − | 0.148420i | ||||
\(386\) | 2.17302 | + | 12.3238i | 0.110604 | + | 0.627267i | ||||
\(387\) | 8.56792 | + | 14.8401i | 0.435532 | + | 0.754363i | ||||
\(388\) | 6.82991 | − | 11.8298i | 0.346736 | − | 0.600565i | ||||
\(389\) | −9.10078 | − | 3.31241i | −0.461428 | − | 0.167946i | 0.100837 | − | 0.994903i | \(-0.467848\pi\) |
−0.562265 | + | 0.826957i | \(0.690070\pi\) | |||||||
\(390\) | 0.0812794 | + | 0.0295833i | 0.00411574 | + | 0.00149801i | ||||
\(391\) | −5.46410 | + | 9.46411i | −0.276332 | + | 0.478620i | ||||
\(392\) | −1.81196 | − | 3.13841i | −0.0915178 | − | 0.158514i | ||||
\(393\) | 0.0560412 | + | 0.317826i | 0.00282691 | + | 0.0160322i | ||||
\(394\) | −4.61424 | − | 3.87181i | −0.232462 | − | 0.195059i | ||||
\(395\) | 9.29628 | − | 7.80050i | 0.467746 | − | 0.392486i | ||||
\(396\) | 1.28396 | − | 7.28171i | 0.0645216 | − | 0.365920i | ||||
\(397\) | 17.2858 | − | 6.29151i | 0.867549 | − | 0.315762i | 0.130375 | − | 0.991465i | \(-0.458382\pi\) |
0.737174 | + | 0.675703i | \(0.236160\pi\) | |||||||
\(398\) | −11.2535 | −0.564089 | ||||||||
\(399\) | 0.264607 | − | 0.117395i | 0.0132469 | − | 0.00587710i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 34.3332 | − | 12.4963i | 1.71452 | − | 0.624034i | 0.717178 | − | 0.696890i | \(-0.245433\pi\) |
0.997342 | + | 0.0728556i | \(0.0232112\pi\) | |||||||
\(402\) | 0.0233331 | − | 0.132329i | 0.00116375 | − | 0.00659996i | ||||
\(403\) | −6.42329 | + | 5.38978i | −0.319967 | + | 0.268484i | ||||
\(404\) | −8.16472 | − | 6.85102i | −0.406210 | − | 0.340851i | ||||
\(405\) | 1.56079 | + | 8.85169i | 0.0775564 | + | 0.439844i | ||||
\(406\) | 3.03317 | + | 5.25361i | 0.150534 | + | 0.260732i | ||||
\(407\) | −7.40822 | + | 12.8314i | −0.367212 | + | 0.636030i | ||||
\(408\) | 0.228986 | + | 0.0833440i | 0.0113365 | + | 0.00412614i | ||||
\(409\) | −34.1168 | − | 12.4175i | −1.68697 | − | 0.614005i | −0.692728 | − | 0.721199i | \(-0.743591\pi\) |
−0.994238 | + | 0.107194i | \(0.965813\pi\) | |||||||
\(410\) | −3.99032 | + | 6.91143i | −0.197068 | + | 0.341331i | ||||
\(411\) | −0.0804851 | − | 0.139404i | −0.00397004 | − | 0.00687631i | ||||
\(412\) | −1.69295 | − | 9.60119i | −0.0834056 | − | 0.473016i | ||||
\(413\) | −6.69138 | − | 5.61473i | −0.329261 | − | 0.276283i | ||||
\(414\) | 3.72347 | − | 3.12436i | 0.182998 | − | 0.153554i | ||||
\(415\) | 1.08227 | − | 6.13787i | 0.0531267 | − | 0.301296i | ||||
\(416\) | 2.24877 | − | 0.818485i | 0.110255 | − | 0.0401295i | ||||
\(417\) | −0.0437872 | −0.00214427 | ||||||||
\(418\) | −1.13749 | + | 10.6876i | −0.0556366 | + | 0.522749i | ||||
\(419\) | 39.5001 | 1.92970 | 0.964852 | − | 0.262793i | \(-0.0846437\pi\) | ||||
0.964852 | + | 0.262793i | \(0.0846437\pi\) | |||||||
\(420\) | −0.0624061 | + | 0.0227140i | −0.00304511 | + | 0.00110833i | ||||
\(421\) | −2.44853 | + | 13.8863i | −0.119334 | + | 0.676777i | 0.865179 | + | 0.501464i | \(0.167205\pi\) |
−0.984513 | + | 0.175313i | \(0.943906\pi\) | |||||||
\(422\) | −10.7764 | + | 9.04248i | −0.524588 | + | 0.440181i | ||||
\(423\) | −28.6973 | − | 24.0799i | −1.39531 | − | 1.17080i | ||||
\(424\) | 0.333641 | + | 1.89217i | 0.0162030 | + | 0.0918919i | ||||
\(425\) | −3.37099 | − | 5.83873i | −0.163517 | − | 0.283220i | ||||
\(426\) | 0.105416 | − | 0.182586i | 0.00510743 | − | 0.00884632i | ||||
\(427\) | −23.5926 | − | 8.58701i | −1.14173 | − | 0.415554i | ||||
\(428\) | −12.4845 | − | 4.54399i | −0.603462 | − | 0.219642i | ||||
\(429\) | 0.106639 | − | 0.184703i | 0.00514856 | − | 0.00891757i | ||||
\(430\) | 2.85722 | + | 4.94884i | 0.137787 | + | 0.238654i | ||||
\(431\) | 3.65410 | + | 20.7234i | 0.176012 | + | 0.998213i | 0.936969 | + | 0.349411i | \(0.113618\pi\) |
−0.760958 | + | 0.648802i | \(0.775270\pi\) | |||||||
\(432\) | −0.166091 | − | 0.139367i | −0.00799105 | − | 0.00670529i | ||||
\(433\) | −4.02763 | + | 3.37958i | −0.193555 | + | 0.162412i | −0.734415 | − | 0.678701i | \(-0.762543\pi\) |
0.540860 | + | 0.841113i | \(0.318099\pi\) | |||||||
\(434\) | 1.11795 | − | 6.34019i | 0.0536631 | − | 0.304339i | ||||
\(435\) | −0.112135 | + | 0.0408138i | −0.00537647 | + | 0.00195687i | ||||
\(436\) | 1.44392 | 0.0691513 | ||||||||
\(437\) | −5.08887 | + | 4.90138i | −0.243434 | + | 0.234465i | ||||
\(438\) | 0.0184481 | 0.000881486 | ||||||||
\(439\) | −34.2836 | + | 12.4782i | −1.63627 | + | 0.595552i | −0.986380 | − | 0.164480i | \(-0.947405\pi\) |
−0.649885 | + | 0.760032i | \(0.725183\pi\) | |||||||
\(440\) | 0.428174 | − | 2.42830i | 0.0204124 | − | 0.115764i | ||||
\(441\) | 8.32463 | − | 6.98519i | 0.396411 | − | 0.332628i | ||||
\(442\) | −12.3595 | − | 10.3709i | −0.587881 | − | 0.493291i | ||||
\(443\) | −1.60289 | − | 9.09046i | −0.0761558 | − | 0.431901i | −0.998917 | − | 0.0465285i | \(-0.985184\pi\) |
0.922761 | − | 0.385372i | \(-0.125927\pi\) | |||||||
\(444\) | 0.108592 | + | 0.188087i | 0.00515356 | + | 0.00892623i | ||||
\(445\) | −8.50098 | + | 14.7241i | −0.402985 | + | 0.697991i | ||||
\(446\) | 23.7765 | + | 8.65395i | 1.12585 | + | 0.409777i | ||||
\(447\) | −0.315325 | − | 0.114769i | −0.0149144 | − | 0.00542838i | ||||
\(448\) | −0.918706 | + | 1.59124i | −0.0434048 | + | 0.0751792i | ||||
\(449\) | 11.4148 | + | 19.7711i | 0.538699 | + | 0.933054i | 0.998974 | + | 0.0452780i | \(0.0144174\pi\) |
−0.460275 | + | 0.887776i | \(0.652249\pi\) | |||||||
\(450\) | 0.520718 | + | 2.95314i | 0.0245469 | + | 0.139212i | ||||
\(451\) | 15.0744 | + | 12.6490i | 0.709828 | + | 0.595616i | ||||
\(452\) | −0.644649 | + | 0.540925i | −0.0303217 | + | 0.0254430i | ||||
\(453\) | −0.0209987 | + | 0.119090i | −0.000986605 | + | 0.00559532i | ||||
\(454\) | 20.6837 | − | 7.52824i | 0.970733 | − | 0.353318i | ||||
\(455\) | 4.39709 | 0.206139 | ||||||||
\(456\) | 0.127337 | + | 0.0927713i | 0.00596311 | + | 0.00434442i | ||||
\(457\) | −7.82515 | −0.366045 | −0.183022 | − | 0.983109i | \(-0.558588\pi\) | ||||
−0.183022 | + | 0.983109i | \(0.558588\pi\) | |||||||
\(458\) | −4.97594 | + | 1.81110i | −0.232511 | + | 0.0846269i | ||||
\(459\) | −0.253834 | + | 1.43956i | −0.0118480 | + | 0.0671931i | ||||
\(460\) | 1.24170 | − | 1.04191i | 0.0578944 | − | 0.0485792i | ||||
\(461\) | −3.01184 | − | 2.52724i | −0.140276 | − | 0.117705i | 0.569950 | − | 0.821679i | \(-0.306963\pi\) |
−0.710225 | + | 0.703974i | \(0.751407\pi\) | |||||||
\(462\) | 0.0284356 | + | 0.161266i | 0.00132294 | + | 0.00750278i | ||||
\(463\) | 8.64820 | + | 14.9791i | 0.401916 | + | 0.696139i | 0.993957 | − | 0.109769i | \(-0.0350110\pi\) |
−0.592041 | + | 0.805908i | \(0.701678\pi\) | |||||||
\(464\) | −1.65079 | + | 2.85924i | −0.0766358 | + | 0.132737i | ||||
\(465\) | 0.119005 | + | 0.0433143i | 0.00551872 | + | 0.00200865i | ||||
\(466\) | 19.3124 | + | 7.02913i | 0.894628 | + | 0.325618i | ||||
\(467\) | 10.5134 | − | 18.2097i | 0.486501 | − | 0.842644i | −0.513379 | − | 0.858162i | \(-0.671606\pi\) |
0.999880 | + | 0.0155178i | \(0.00493967\pi\) | |||||||
\(468\) | 3.58807 | + | 6.21473i | 0.165859 | + | 0.287276i | ||||
\(469\) | −1.18616 | − | 6.72707i | −0.0547719 | − | 0.310627i | ||||
\(470\) | −9.56992 | − | 8.03012i | −0.441427 | − | 0.370402i | ||||
\(471\) | 0.195287 | − | 0.163865i | 0.00899836 | − | 0.00755052i | ||||
\(472\) | 0.825516 | − | 4.68173i | 0.0379974 | − | 0.215494i | ||||
\(473\) | 13.2406 | − | 4.81920i | 0.608805 | − | 0.221587i | ||||
\(474\) | −0.438622 | −0.0201466 | ||||||||
\(475\) | −1.04896 | − | 4.23080i | −0.0481298 | − | 0.194122i | ||||
\(476\) | 12.3878 | 0.567794 | ||||||||
\(477\) | −5.41410 | + | 1.97057i | −0.247895 | + | 0.0902263i | ||||
\(478\) | −0.154055 | + | 0.873692i | −0.00704633 | + | 0.0399617i | ||||
\(479\) | 16.1878 | − | 13.5832i | 0.739640 | − | 0.620631i | −0.193101 | − | 0.981179i | \(-0.561855\pi\) |
0.932741 | + | 0.360547i | \(0.117410\pi\) | |||||||
\(480\) | −0.0276878 | − | 0.0232329i | −0.00126377 | − | 0.00106043i | ||||
\(481\) | −2.49703 | − | 14.1613i | −0.113855 | − | 0.645702i | ||||
\(482\) | −2.00071 | − | 3.46533i | −0.0911298 | − | 0.157841i | ||||
\(483\) | −0.0538236 | + | 0.0932252i | −0.00244906 | + | 0.00424190i | ||||
\(484\) | 4.62333 | + | 1.68276i | 0.210151 | + | 0.0764889i | ||||
\(485\) | 12.8360 | + | 4.67194i | 0.582855 | + | 0.212142i | ||||
\(486\) | 0.487660 | − | 0.844651i | 0.0221207 | − | 0.0383142i | ||||
\(487\) | 8.60015 | + | 14.8959i | 0.389710 | + | 0.674998i | 0.992410 | − | 0.122970i | \(-0.0392419\pi\) |
−0.602700 | + | 0.797968i | \(0.705909\pi\) | |||||||
\(488\) | −2.37276 | − | 13.4566i | −0.107410 | − | 0.609152i | ||||
\(489\) | −0.439015 | − | 0.368377i | −0.0198529 | − | 0.0166586i | ||||
\(490\) | 2.77608 | − | 2.32941i | 0.125411 | − | 0.105232i | ||||
\(491\) | −5.75424 | + | 32.6339i | −0.259685 | + | 1.47275i | 0.524068 | + | 0.851676i | \(0.324414\pi\) |
−0.783753 | + | 0.621072i | \(0.786697\pi\) | |||||||
\(492\) | 0.271056 | − | 0.0986562i | 0.0122201 | − | 0.00444776i | ||||
\(493\) | 22.2591 | 1.00250 | ||||||||
\(494\) | −5.82173 | − | 8.65554i | −0.261932 | − | 0.389431i | ||||
\(495\) | 7.39405 | 0.332338 | ||||||||
\(496\) | 3.29253 | − | 1.19838i | 0.147839 | − | 0.0538090i | ||||
\(497\) | 1.86114 | − | 10.5550i | 0.0834834 | − | 0.473458i | ||||
\(498\) | −0.172566 | + | 0.144800i | −0.00773287 | + | 0.00648865i | ||||
\(499\) | −24.4903 | − | 20.5498i | −1.09634 | − | 0.919936i | −0.0991642 | − | 0.995071i | \(-0.531617\pi\) |
−0.997173 | + | 0.0751346i | \(0.976061\pi\) | |||||||
\(500\) | 0.173648 | + | 0.984808i | 0.00776578 | + | 0.0440419i | ||||
\(501\) | 0.246244 | + | 0.426507i | 0.0110014 | + | 0.0190549i | ||||
\(502\) | −6.33436 | + | 10.9714i | −0.282716 | + | 0.489679i | ||||
\(503\) | 23.7193 | + | 8.63311i | 1.05759 | + | 0.384931i | 0.811523 | − | 0.584321i | \(-0.198639\pi\) |
0.246068 | + | 0.969253i | \(0.420861\pi\) | |||||||
\(504\) | −5.17755 | − | 1.88447i | −0.230626 | − | 0.0839411i | ||||
\(505\) | 5.32914 | − | 9.23035i | 0.237144 | − | 0.410745i | ||||
\(506\) | −1.99840 | − | 3.46132i | −0.0888395 | − | 0.153875i | ||||
\(507\) | −0.0456484 | − | 0.258885i | −0.00202732 | − | 0.0114975i | ||||
\(508\) | 9.94770 | + | 8.34711i | 0.441358 | + | 0.370343i | ||||
\(509\) | −13.0617 | + | 10.9600i | −0.578948 | + | 0.485795i | −0.884601 | − | 0.466348i | \(-0.845570\pi\) |
0.305654 | + | 0.952143i | \(0.401125\pi\) | |||||||
\(510\) | −0.0423149 | + | 0.239980i | −0.00187373 | + | 0.0106265i | ||||
\(511\) | 0.881271 | − | 0.320756i | 0.0389851 | − | 0.0141894i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −0.415410 | + | 0.848888i | −0.0183408 | + | 0.0374793i | ||||
\(514\) | 13.0448 | 0.575381 | ||||||||
\(515\) | 9.16134 | − | 3.33446i | 0.403697 | − | 0.146934i | ||||
\(516\) | 0.0358656 | − | 0.203404i | 0.00157890 | − | 0.00895437i | ||||
\(517\) | −23.5971 | + | 19.8003i | −1.03780 | + | 0.870816i | ||||
\(518\) | 8.45773 | + | 7.09688i | 0.371612 | + | 0.311819i | ||||
\(519\) | 0.0755636 | + | 0.428542i | 0.00331687 | + | 0.0188109i | ||||
\(520\) | 1.19655 | + | 2.07248i | 0.0524720 | + | 0.0908842i | ||||
\(521\) | 3.40256 | − | 5.89342i | 0.149069 | − | 0.258195i | −0.781815 | − | 0.623511i | \(-0.785706\pi\) |
0.930884 | + | 0.365316i | \(0.119039\pi\) | |||||||
\(522\) | −9.30333 | − | 3.38614i | −0.407196 | − | 0.148207i | ||||
\(523\) | −4.90593 | − | 1.78561i | −0.214521 | − | 0.0780794i | 0.232524 | − | 0.972591i | \(-0.425302\pi\) |
−0.447045 | + | 0.894511i | \(0.647524\pi\) | |||||||
\(524\) | −4.46449 | + | 7.73273i | −0.195032 | + | 0.337806i | ||||
\(525\) | −0.0332056 | − | 0.0575138i | −0.00144921 | − | 0.00251011i | ||||
\(526\) | −4.90583 | − | 27.8224i | −0.213904 | − | 1.21311i | ||||
\(527\) | −18.0961 | − | 15.1845i | −0.788280 | − | 0.661445i | ||||
\(528\) | −0.0682715 | + | 0.0572866i | −0.00297113 | + | 0.00249308i | ||||
\(529\) | −3.53767 | + | 20.0631i | −0.153812 | + | 0.872309i | ||||
\(530\) | −1.80549 | + | 0.657144i | −0.0784254 | + | 0.0285445i | ||||
\(531\) | 14.2557 | 0.618643 | ||||||||
\(532\) | 7.69593 | + | 2.21770i | 0.333661 | + | 0.0961496i | ||||
\(533\) | −19.0984 | −0.827243 | ||||||||
\(534\) | 0.577457 | − | 0.210177i | 0.0249890 | − | 0.00909526i | ||||
\(535\) | 2.30705 | − | 13.0839i | 0.0997423 | − | 0.565667i | ||||
\(536\) | 2.84788 | − | 2.38966i | 0.123010 | − | 0.103217i | ||||
\(537\) | 0.445026 | + | 0.373421i | 0.0192043 | + | 0.0161143i | ||||
\(538\) | −5.13013 | − | 29.0944i | −0.221176 | − | 1.25435i | ||||
\(539\) | −4.46785 | − | 7.73855i | −0.192444 | − | 0.333323i | ||||
\(540\) | 0.108408 | − | 0.187768i | 0.00466514 | − | 0.00808026i | ||||
\(541\) | 24.5890 | + | 8.94968i | 1.05717 | + | 0.384777i | 0.811363 | − | 0.584543i | \(-0.198726\pi\) |
0.245803 | + | 0.969320i | \(0.420948\pi\) | |||||||
\(542\) | 25.3822 | + | 9.23836i | 1.09026 | + | 0.396822i | ||||
\(543\) | −0.103970 | + | 0.180081i | −0.00446177 | + | 0.00772802i | ||||
\(544\) | 3.37099 | + | 5.83873i | 0.144530 | + | 0.250333i | ||||
\(545\) | 0.250734 | + | 1.42198i | 0.0107403 | + | 0.0609111i | ||||
\(546\) | −0.121746 | − | 0.102157i | −0.00521025 | − | 0.00437192i | ||||
\(547\) | 27.2225 | − | 22.8424i | 1.16395 | − | 0.976671i | 0.163999 | − | 0.986461i | \(-0.447561\pi\) |
0.999952 | + | 0.00978982i | \(0.00311625\pi\) | |||||||
\(548\) | 0.773358 | − | 4.38593i | 0.0330362 | − | 0.187358i | ||||
\(549\) | 38.5036 | − | 14.0142i | 1.64330 | − | 0.598111i | ||||
\(550\) | 2.46576 | 0.105140 | ||||||||
\(551\) | 13.8285 | + | 3.98490i | 0.589114 | + | 0.169763i | ||||
\(552\) | −0.0585864 | −0.00249360 | ||||||||
\(553\) | −20.9530 | + | 7.62628i | −0.891014 | + | 0.324303i | ||||
\(554\) | 4.19844 | − | 23.8105i | 0.178374 | − | 1.01161i | ||||
\(555\) | −0.166373 | + | 0.139604i | −0.00706214 | + | 0.00592584i | ||||
\(556\) | −0.928039 | − | 0.778717i | −0.0393576 | − | 0.0330250i | ||||
\(557\) | 5.32949 | + | 30.2250i | 0.225818 | + | 1.28068i | 0.861116 | + | 0.508409i | \(0.169766\pi\) |
−0.635298 | + | 0.772267i | \(0.719123\pi\) | |||||||
\(558\) | 5.25347 | + | 9.09928i | 0.222397 | + | 0.385203i | ||||
\(559\) | −6.83758 | + | 11.8430i | −0.289199 | + | 0.500907i | ||||
\(560\) | −1.72660 | − | 0.628432i | −0.0729622 | − | 0.0265561i | ||||
\(561\) | 0.564623 | + | 0.205506i | 0.0238384 | + | 0.00867647i | ||||
\(562\) | 1.20051 | − | 2.07934i | 0.0506403 | − | 0.0877116i | ||||
\(563\) | −15.6022 | − | 27.0238i | −0.657553 | − | 1.13892i | −0.981247 | − | 0.192754i | \(-0.938258\pi\) |
0.323694 | − | 0.946162i | \(-0.395075\pi\) | |||||||
\(564\) | 0.0784079 | + | 0.444673i | 0.00330157 | + | 0.0187241i | ||||
\(565\) | −0.644649 | − | 0.540925i | −0.0271206 | − | 0.0227569i | ||||
\(566\) | −6.24398 | + | 5.23932i | −0.262454 | + | 0.220225i | ||||
\(567\) | 2.86782 | − | 16.2642i | 0.120437 | − | 0.683032i | ||||
\(568\) | 5.48135 | − | 1.99505i | 0.229992 | − | 0.0837104i | ||||
\(569\) | −20.6053 | −0.863820 | −0.431910 | − | 0.901917i | \(-0.642160\pi\) | ||||
−0.431910 | + | 0.901917i | \(0.642160\pi\) | |||||||
\(570\) | −0.0692501 | + | 0.141512i | −0.00290057 | + | 0.00592729i | ||||
\(571\) | 4.38785 | 0.183626 | 0.0918129 | − | 0.995776i | \(-0.470734\pi\) | ||||
0.0918129 | + | 0.995776i | \(0.470734\pi\) | |||||||
\(572\) | 5.54492 | − | 2.01819i | 0.231845 | − | 0.0843846i | ||||
\(573\) | −0.128953 | + | 0.731332i | −0.00538711 | + | 0.0305518i | ||||
\(574\) | 11.2330 | − | 9.42565i | 0.468858 | − | 0.393419i | ||||
\(575\) | 1.24170 | + | 1.04191i | 0.0517823 | + | 0.0434505i | ||||
\(576\) | −0.520718 | − | 2.95314i | −0.0216966 | − | 0.123047i | ||||
\(577\) | −14.9410 | − | 25.8786i | −0.622004 | − | 1.07734i | −0.989112 | − | 0.147164i | \(-0.952986\pi\) |
0.367109 | − | 0.930178i | \(-0.380348\pi\) | |||||||
\(578\) | 14.2272 | − | 24.6422i | 0.591772 | − | 1.02498i | ||||
\(579\) | 0.425026 | + | 0.154697i | 0.0176635 | + | 0.00642898i | ||||
\(580\) | −3.10246 | − | 1.12920i | −0.128823 | − | 0.0468876i | ||||
\(581\) | −5.72589 | + | 9.91753i | −0.237550 | + | 0.411448i | ||||
\(582\) | −0.246860 | − | 0.427574i | −0.0102327 | − | 0.0177235i | ||||
\(583\) | 0.822676 | + | 4.66563i | 0.0340718 | + | 0.193231i | ||||
\(584\) | 0.390995 | + | 0.328084i | 0.0161795 | + | 0.0135762i | ||||
\(585\) | −5.49725 | + | 4.61274i | −0.227283 | + | 0.190713i | ||||
\(586\) | −1.59714 | + | 9.05783i | −0.0659773 | + | 0.374176i | ||||
\(587\) | −37.0049 | + | 13.4687i | −1.52736 | + | 0.555912i | −0.962972 | − | 0.269601i | \(-0.913108\pi\) |
−0.564383 | + | 0.825513i | \(0.690886\pi\) | |||||||
\(588\) | −0.130983 | −0.00540163 | ||||||||
\(589\) | −8.52387 | − | 12.6730i | −0.351220 | − | 0.522181i | ||||
\(590\) | 4.75396 | 0.195717 | ||||||||
\(591\) | −0.204582 | + | 0.0744617i | −0.00841538 | + | 0.00306295i | ||||
\(592\) | −1.04343 | + | 5.91759i | −0.0428848 | + | 0.243212i | ||||
\(593\) | −30.7274 | + | 25.7834i | −1.26182 | + | 1.05880i | −0.266338 | + | 0.963880i | \(0.585814\pi\) |
−0.995485 | + | 0.0949157i | \(0.969742\pi\) | |||||||
\(594\) | −0.409540 | − | 0.343645i | −0.0168036 | − | 0.0140999i | ||||
\(595\) | 2.15112 | + | 12.1996i | 0.0881872 | + | 0.500135i | ||||
\(596\) | −4.64202 | − | 8.04022i | −0.190145 | − | 0.329340i | ||||
\(597\) | −0.203373 | + | 0.352253i | −0.00832352 | + | 0.0144168i | ||||
\(598\) | 3.64507 | + | 1.32670i | 0.149058 | + | 0.0542527i | ||||
\(599\) | −29.5623 | − | 10.7598i | −1.20788 | − | 0.439634i | −0.341915 | − | 0.939731i | \(-0.611076\pi\) |
−0.865970 | + | 0.500097i | \(0.833298\pi\) | |||||||
\(600\) | 0.0180720 | − | 0.0313015i | 0.000737785 | − | 0.00127788i | ||||
\(601\) | 17.2445 | + | 29.8683i | 0.703418 | + | 1.21836i | 0.967260 | + | 0.253789i | \(0.0816769\pi\) |
−0.263842 | + | 0.964566i | \(0.584990\pi\) | |||||||
\(602\) | −1.82326 | − | 10.3402i | −0.0743107 | − | 0.421437i | ||||
\(603\) | 8.53992 | + | 7.16585i | 0.347773 | + | 0.291816i | ||||
\(604\) | −2.56296 | + | 2.15058i | −0.104285 | + | 0.0875057i | ||||
\(605\) | −0.854357 | + | 4.84530i | −0.0347346 | + | 0.196990i | ||||
\(606\) | −0.362000 | + | 0.131757i | −0.0147052 | + | 0.00535227i | ||||
\(607\) | 12.9979 | 0.527568 | 0.263784 | − | 0.964582i | \(-0.415029\pi\) | ||||
0.263784 | + | 0.964582i | \(0.415029\pi\) | |||||||
\(608\) | 1.04896 | + | 4.23080i | 0.0425411 | + | 0.171582i | ||||
\(609\) | 0.219261 | 0.00888492 | ||||||||
\(610\) | 12.8401 | − | 4.67343i | 0.519882 | − | 0.189222i | ||||
\(611\) | 5.19139 | − | 29.4418i | 0.210021 | − | 1.19109i | ||||
\(612\) | −15.4872 | + | 12.9953i | −0.626034 | + | 0.525305i | ||||
\(613\) | 6.67364 | + | 5.59985i | 0.269546 | + | 0.226176i | 0.767534 | − | 0.641008i | \(-0.221483\pi\) |
−0.497989 | + | 0.867184i | \(0.665928\pi\) | |||||||
\(614\) | 4.92243 | + | 27.9165i | 0.198653 | + | 1.12662i | ||||
\(615\) | 0.144226 | + | 0.249806i | 0.00581574 | + | 0.0100732i | ||||
\(616\) | −2.26530 | + | 3.92362i | −0.0912717 | + | 0.158087i | ||||
\(617\) | 22.8877 | + | 8.33044i | 0.921424 | + | 0.335371i | 0.758805 | − | 0.651318i | \(-0.225784\pi\) |
0.162619 | + | 0.986689i | \(0.448006\pi\) | |||||||
\(618\) | −0.331127 | − | 0.120520i | −0.0133199 | − | 0.00484804i | ||||
\(619\) | −0.822483 | + | 1.42458i | −0.0330584 | + | 0.0572588i | −0.882081 | − | 0.471097i | \(-0.843858\pi\) |
0.849023 | + | 0.528356i | \(0.177191\pi\) | |||||||
\(620\) | 1.75192 | + | 3.03441i | 0.0703588 | + | 0.121865i | ||||
\(621\) | −0.0610272 | − | 0.346102i | −0.00244894 | − | 0.0138886i | ||||
\(622\) | −13.3605 | − | 11.2108i | −0.535706 | − | 0.449511i | ||||
\(623\) | 23.9309 | − | 20.0804i | 0.958772 | − | 0.804505i | ||||
\(624\) | 0.0150198 | − | 0.0851816i | 0.000601274 | − | 0.00340999i | ||||
\(625\) | −0.939693 | + | 0.342020i | −0.0375877 | + | 0.0136808i | ||||
\(626\) | 13.1983 | 0.527510 | ||||||||
\(627\) | 0.313982 | + | 0.228751i | 0.0125392 | + | 0.00913545i | ||||
\(628\) | 7.05317 | 0.281452 | ||||||||
\(629\) | 38.0686 | − | 13.8558i | 1.51790 | − | 0.552469i | ||||
\(630\) | 0.956772 | − | 5.42613i | 0.0381187 | − | 0.216182i | ||||
\(631\) | −33.3220 | + | 27.9605i | −1.32653 | + | 1.11309i | −0.341651 | + | 0.939827i | \(0.610986\pi\) |
−0.984876 | + | 0.173261i | \(0.944570\pi\) | |||||||
\(632\) | −9.29628 | − | 7.80050i | −0.369786 | − | 0.310287i | ||||
\(633\) | 0.0882929 | + | 0.500734i | 0.00350933 | + | 0.0199024i | ||||
\(634\) | −6.14319 | − | 10.6403i | −0.243977 | − | 0.422581i | ||||
\(635\) | −6.49290 | + | 11.2460i | −0.257663 | + | 0.446285i | ||||
\(636\) | 0.0652574 | + | 0.0237517i | 0.00258762 | + | 0.000941818i | ||||
\(637\) | 8.14936 | + | 2.96613i | 0.322890 | + | 0.117522i | ||||
\(638\) | −4.07043 | + | 7.05020i | −0.161150 | + | 0.279120i | ||||
\(639\) | 8.74589 | + | 15.1483i | 0.345982 | + | 0.599258i | ||||
\(640\) | −0.173648 | − | 0.984808i | −0.00686405 | − | 0.0389279i | ||||
\(641\) | −28.2069 | − | 23.6684i | −1.11411 | − | 0.934846i | −0.115814 | − | 0.993271i | \(-0.536948\pi\) |
−0.998292 | + | 0.0584253i | \(0.981392\pi\) | |||||||
\(642\) | −0.367854 | + | 0.308666i | −0.0145180 | + | 0.0121821i | ||||
\(643\) | −2.55882 | + | 14.5118i | −0.100910 | + | 0.572288i | 0.891866 | + | 0.452301i | \(0.149397\pi\) |
−0.992775 | + | 0.119988i | \(0.961715\pi\) | |||||||
\(644\) | −2.79868 | + | 1.01864i | −0.110284 | + | 0.0401399i | ||||
\(645\) | 0.206542 | 0.00813258 | ||||||||
\(646\) | 21.1664 | − | 20.3866i | 0.832783 | − | 0.802100i | ||||
\(647\) | −6.04813 | −0.237776 | −0.118888 | − | 0.992908i | \(-0.537933\pi\) | ||||
−0.118888 | + | 0.992908i | \(0.537933\pi\) | |||||||
\(648\) | 8.44619 | − | 3.07416i | 0.331798 | − | 0.120764i | ||||
\(649\) | 2.03552 | − | 11.5440i | 0.0799012 | − | 0.453142i | ||||
\(650\) | −1.83321 | + | 1.53825i | −0.0719046 | + | 0.0603351i | ||||
\(651\) | −0.178254 | − | 0.149573i | −0.00698633 | − | 0.00586223i | ||||
\(652\) | −2.75334 | − | 15.6150i | −0.107829 | − | 0.611530i | ||||
\(653\) | 1.44434 | + | 2.50167i | 0.0565213 | + | 0.0978978i | 0.892902 | − | 0.450252i | \(-0.148666\pi\) |
−0.836380 | + | 0.548150i | \(0.815332\pi\) | |||||||
\(654\) | 0.0260945 | − | 0.0451970i | 0.00102037 | − | 0.00176734i | ||||
\(655\) | −8.39051 | − | 3.05389i | −0.327844 | − | 0.119326i | ||||
\(656\) | 7.49934 | + | 2.72954i | 0.292800 | + | 0.106571i | ||||
\(657\) | −0.765278 | + | 1.32550i | −0.0298563 | + | 0.0517127i | ||||
\(658\) | 11.4771 | + | 19.8789i | 0.447422 | + | 0.774958i | ||||
\(659\) | 2.83413 | + | 16.0731i | 0.110402 | + | 0.626120i | 0.988925 | + | 0.148419i | \(0.0474185\pi\) |
−0.878523 | + | 0.477701i | \(0.841470\pi\) | |||||||
\(660\) | −0.0682715 | − | 0.0572866i | −0.00265746 | − | 0.00222988i | ||||
\(661\) | 21.8640 | − | 18.3461i | 0.850410 | − | 0.713579i | −0.109470 | − | 0.993990i | \(-0.534915\pi\) |
0.959880 | + | 0.280411i | \(0.0904708\pi\) | |||||||
\(662\) | −0.173057 | + | 0.981453i | −0.00672604 | + | 0.0381453i | ||||
\(663\) | −0.547984 | + | 0.199450i | −0.0212819 | + | 0.00774599i | ||||
\(664\) | −6.23256 | −0.241870 | ||||||||
\(665\) | −0.847627 | + | 7.96411i | −0.0328696 | + | 0.308835i | ||||
\(666\) | −18.0188 | −0.698214 | ||||||||
\(667\) | −5.02884 | + | 1.83035i | −0.194718 | + | 0.0708714i | ||||
\(668\) | −2.36609 | + | 13.4187i | −0.0915466 | + | 0.519187i | ||||
\(669\) | 0.700571 | − | 0.587849i | 0.0270856 | − | 0.0227275i | ||||
\(670\) | 2.84788 | + | 2.38966i | 0.110023 | + | 0.0923205i | ||||
\(671\) | −5.85065 | − | 33.1807i | −0.225862 | − | 1.28093i | ||||
\(672\) | 0.0332056 | + | 0.0575138i | 0.00128093 | + | 0.00221864i | ||||
\(673\) | −3.11723 | + | 5.39921i | −0.120161 | + | 0.208124i | −0.919831 | − | 0.392315i | \(-0.871674\pi\) |
0.799670 | + | 0.600439i | \(0.205008\pi\) | |||||||
\(674\) | 8.04300 | + | 2.92741i | 0.309805 | + | 0.112760i | ||||
\(675\) | 0.203741 | + | 0.0741555i | 0.00784198 | + | 0.00285425i | ||||
\(676\) | 3.63656 | − | 6.29870i | 0.139868 | − | 0.242258i | ||||
\(677\) | 7.30750 | + | 12.6570i | 0.280850 | + | 0.486446i | 0.971594 | − | 0.236653i | \(-0.0760503\pi\) |
−0.690744 | + | 0.723099i | \(0.742717\pi\) | |||||||
\(678\) | 0.00528171 | + | 0.0299541i | 0.000202843 | + | 0.00115038i | ||||
\(679\) | −19.2267 | − | 16.1331i | −0.737854 | − | 0.619133i | ||||
\(680\) | −5.16466 | + | 4.33366i | −0.198056 | + | 0.166188i | ||||
\(681\) | 0.138149 | − | 0.783481i | 0.00529388 | − | 0.0300231i | ||||
\(682\) | 8.11858 | − | 2.95492i | 0.310877 | − | 0.113150i | ||||
\(683\) | 47.0671 | 1.80097 | 0.900486 | − | 0.434885i | \(-0.143211\pi\) | ||||
0.900486 | + | 0.434885i | \(0.143211\pi\) | |||||||
\(684\) | −11.9479 | + | 5.30079i | −0.456840 | + | 0.202681i | ||||
\(685\) | 4.45359 | 0.170163 | ||||||||
\(686\) | −18.3433 | + | 6.67641i | −0.700350 | + | 0.254906i | ||||
\(687\) | −0.0332350 | + | 0.188485i | −0.00126799 | + | 0.00719114i | ||||
\(688\) | 4.37751 | − | 3.67317i | 0.166891 | − | 0.140038i | ||||
\(689\) | −3.52226 | − | 2.95553i | −0.134188 | − | 0.112597i | ||||
\(690\) | −0.0101734 | − | 0.0576963i | −0.000387295 | − | 0.00219646i | ||||
\(691\) | 13.6742 | + | 23.6844i | 0.520191 | + | 0.900997i | 0.999724 | + | 0.0234732i | \(0.00747242\pi\) |
−0.479534 | + | 0.877523i | \(0.659194\pi\) | |||||||
\(692\) | −6.01973 | + | 10.4265i | −0.228836 | + | 0.396355i | ||||
\(693\) | −12.7666 | − | 4.64665i | −0.484962 | − | 0.176512i | ||||
\(694\) | −6.23742 | − | 2.27024i | −0.236769 | − | 0.0861770i | ||||
\(695\) | 0.605735 | − | 1.04916i | 0.0229768 | − | 0.0397970i | ||||
\(696\) | 0.0596659 | + | 0.103344i | 0.00226163 | + | 0.00391726i | ||||
\(697\) | −9.34319 | − | 52.9879i | −0.353899 | − | 2.00706i | ||||
\(698\) | −23.7813 | − | 19.9549i | −0.900135 | − | 0.755303i | ||||
\(699\) | 0.569035 | − | 0.477477i | 0.0215229 | − | 0.0180598i | ||||
\(700\) | 0.319063 | − | 1.80950i | 0.0120595 | − | 0.0683925i | ||||
\(701\) | −18.6359 | + | 6.78290i | −0.703867 | + | 0.256187i | −0.669061 | − | 0.743207i | \(-0.733304\pi\) |
−0.0348060 | + | 0.999394i | \(0.511081\pi\) | |||||||
\(702\) | 0.518861 | 0.0195831 | ||||||||
\(703\) | 26.1307 | − | 1.79279i | 0.985538 | − | 0.0676164i | ||||
\(704\) | −2.46576 | −0.0929317 | ||||||||
\(705\) | −0.424302 | + | 0.154433i | −0.0159801 | + | 0.00581630i | ||||
\(706\) | −3.08450 | + | 17.4931i | −0.116087 | + | 0.658360i | ||||
\(707\) | −15.0020 | + | 12.5881i | −0.564206 | + | 0.473425i | ||||
\(708\) | −0.131627 | − | 0.110448i | −0.00494684 | − | 0.00415089i | ||||
\(709\) | 5.68008 | + | 32.2133i | 0.213320 | + | 1.20980i | 0.883799 | + | 0.467868i | \(0.154978\pi\) |
−0.670479 | + | 0.741929i | \(0.733911\pi\) | |||||||
\(710\) | 2.91657 | + | 5.05164i | 0.109457 | + | 0.189585i | ||||
\(711\) | 18.1952 | − | 31.5150i | 0.682374 | − | 1.18191i | ||||
\(712\) | 15.9766 | + | 5.81501i | 0.598749 | + | 0.217927i | ||||
\(713\) | 5.33693 | + | 1.94248i | 0.199870 | + | 0.0727466i | ||||
\(714\) | 0.223872 | − | 0.387757i | 0.00837819 | − | 0.0145114i | ||||
\(715\) | 2.95039 | + | 5.11022i | 0.110338 | + | 0.191112i | ||||
\(716\) | 2.79104 | + | 15.8288i | 0.104306 | + | 0.591550i | ||||
\(717\) | 0.0245638 | + | 0.0206115i | 0.000917353 | + | 0.000769750i | ||||
\(718\) | 3.93452 | − | 3.30146i | 0.146835 | − | 0.123209i | ||||
\(719\) | −0.563968 | + | 3.19842i | −0.0210325 | + | 0.119281i | −0.993516 | − | 0.113689i | \(-0.963733\pi\) |
0.972484 | + | 0.232970i | \(0.0748444\pi\) | |||||||
\(720\) | 2.81785 | − | 1.02561i | 0.105015 | − | 0.0382224i | ||||
\(721\) | −17.9135 | −0.667132 | ||||||||
\(722\) | 16.7994 | − | 8.87591i | 0.625207 | − | 0.330327i | ||||
\(723\) | −0.144627 | −0.00537873 | ||||||||
\(724\) | −5.40615 | + | 1.96768i | −0.200918 | + | 0.0731282i | ||||
\(725\) | 0.573312 | − | 3.25141i | 0.0212923 | − | 0.120754i | ||||
\(726\) | 0.136226 | − | 0.114307i | 0.00505580 | − | 0.00424232i | ||||
\(727\) | 14.8686 | + | 12.4762i | 0.551446 | + | 0.462718i | 0.875430 | − | 0.483344i | \(-0.160578\pi\) |
−0.323984 | + | 0.946062i | \(0.605023\pi\) | |||||||
\(728\) | −0.763547 | − | 4.33029i | −0.0282989 | − | 0.160491i | ||||
\(729\) | 13.4647 | + | 23.3216i | 0.498694 | + | 0.863764i | ||||
\(730\) | −0.255204 | + | 0.442026i | −0.00944552 | + | 0.0163601i | ||||
\(731\) | −36.2032 | − | 13.1769i | −1.33902 | − | 0.487364i | ||||
\(732\) | −0.464093 | − | 0.168916i | −0.0171534 | − | 0.00624331i | ||||
\(733\) | −6.03763 | + | 10.4575i | −0.223005 | + | 0.386256i | −0.955719 | − | 0.294281i | \(-0.904920\pi\) |
0.732714 | + | 0.680537i | \(0.238253\pi\) | |||||||
\(734\) | −2.87294 | − | 4.97608i | −0.106042 | − | 0.183671i | ||||
\(735\) | −0.0227449 | − | 0.128993i | −0.000838958 | − | 0.00475797i | ||||
\(736\) | −1.24170 | − | 1.04191i | −0.0457695 | − | 0.0384052i | ||||
\(737\) | 7.02218 | − | 5.89231i | 0.258665 | − | 0.217046i | ||||
\(738\) | −4.15566 | + | 23.5679i | −0.152972 | + | 0.867547i | ||||
\(739\) | −2.86243 | + | 1.04184i | −0.105296 | + | 0.0383246i | −0.394131 | − | 0.919054i | \(-0.628954\pi\) |
0.288835 | + | 0.957379i | \(0.406732\pi\) | |||||||
\(740\) | −6.00888 | −0.220891 | ||||||||
\(741\) | −0.376142 | + | 0.0258066i | −0.0138179 | + | 0.000948028i | ||||
\(742\) | 3.53033 | 0.129602 | ||||||||
\(743\) | −37.3589 | + | 13.5975i | −1.37057 | + | 0.498845i | −0.919305 | − | 0.393547i | \(-0.871248\pi\) |
−0.451261 | + | 0.892392i | \(0.649026\pi\) | |||||||
\(744\) | 0.0219912 | − | 0.124718i | 0.000806238 | − | 0.00457240i | ||||
\(745\) | 7.11199 | − | 5.96767i | 0.260563 | − | 0.218639i | ||||
\(746\) | −28.9453 | − | 24.2880i | −1.05976 | − | 0.889246i | ||||
\(747\) | −3.24540 | − | 18.4056i | −0.118743 | − | 0.673426i | ||||
\(748\) | 8.31204 | + | 14.3969i | 0.303918 | + | 0.526402i | ||||
\(749\) | −12.2057 | + | 21.1409i | −0.445986 | + | 0.772471i | ||||
\(750\) | 0.0339642 | + | 0.0123619i | 0.00124020 | + | 0.000451394i | ||||
\(751\) | −33.6285 | − | 12.2398i | −1.22712 | − | 0.446636i | −0.354511 | − | 0.935052i | \(-0.615353\pi\) |
−0.872611 | + | 0.488416i | \(0.837575\pi\) | |||||||
\(752\) | −6.24632 | + | 10.8189i | −0.227780 | + | 0.394526i | ||||
\(753\) | 0.228948 | + | 0.396550i | 0.00834334 | + | 0.0144511i | ||||
\(754\) | −1.37199 | − | 7.78093i | −0.0499648 | − | 0.283365i | ||||
\(755\) | −2.56296 | − | 2.15058i | −0.0932755 | − | 0.0782674i | ||||
\(756\) | −0.305177 | + | 0.256074i | −0.0110992 | + | 0.00931333i | ||||
\(757\) | −8.66613 | + | 49.1480i | −0.314976 | + | 1.78632i | 0.257380 | + | 0.966310i | \(0.417141\pi\) |
−0.572355 | + | 0.820006i | \(0.693970\pi\) | |||||||
\(758\) | −30.3204 | + | 11.0357i | −1.10128 | + | 0.400835i | ||||
\(759\) | −0.144460 | −0.00524355 | ||||||||
\(760\) | −3.98437 | + | 1.76770i | −0.144528 | + | 0.0641212i | ||||
\(761\) | −36.2563 | −1.31429 | −0.657145 | − | 0.753764i | \(-0.728236\pi\) | ||||
−0.657145 | + | 0.753764i | \(0.728236\pi\) | |||||||
\(762\) | 0.441052 | − | 0.160530i | 0.0159776 | − | 0.00581538i | ||||
\(763\) | 0.460702 | − | 2.61277i | 0.0166785 | − | 0.0945886i | ||||
\(764\) | −15.7392 | + | 13.2067i | −0.569423 | + | 0.477803i | ||||
\(765\) | −15.4872 | − | 12.9953i | −0.559942 | − | 0.469847i | ||||
\(766\) | 3.78204 | + | 21.4490i | 0.136651 | + | 0.774984i | ||||
\(767\) | 5.68833 | + | 9.85247i | 0.205394 | + | 0.355752i | ||||
\(768\) | −0.0180720 | + | 0.0313015i | −0.000652116 | + | 0.00112950i | ||||
\(769\) | 5.18278 | + | 1.88638i | 0.186896 | + | 0.0680246i | 0.433773 | − | 0.901022i | \(-0.357182\pi\) |
−0.246877 | + | 0.969047i | \(0.579404\pi\) | |||||||
\(770\) | −4.25738 | − | 1.54956i | −0.153425 | − | 0.0558422i | ||||
\(771\) | 0.235745 | − | 0.408322i | 0.00849014 | − | 0.0147054i | ||||
\(772\) | 6.25697 | + | 10.8374i | 0.225193 | + | 0.390046i | ||||
\(773\) | −6.66795 | − | 37.8158i | −0.239830 | − | 1.36014i | −0.832200 | − | 0.554475i | \(-0.812919\pi\) |
0.592371 | − | 0.805666i | \(-0.298192\pi\) | |||||||
\(774\) | 13.1268 | + | 11.0147i | 0.471833 | + | 0.395915i | ||||
\(775\) | −2.68410 | + | 2.25222i | −0.0964156 | + | 0.0809023i | ||||
\(776\) | 2.37200 | − | 13.4523i | 0.0851500 | − | 0.482910i | ||||
\(777\) | 0.374991 | − | 0.136486i | 0.0134527 | − | 0.00489639i | ||||
\(778\) | −9.68485 | −0.347219 | ||||||||
\(779\) | 3.68159 | − | 34.5914i | 0.131907 | − | 1.23937i | ||||
\(780\) | 0.0864957 | 0.00309704 | ||||||||
\(781\) | 13.5157 | − | 4.91930i | 0.483629 | − | 0.176026i | ||||
\(782\) | −1.89766 | + | 10.7622i | −0.0678603 | + | 0.384855i | ||||
\(783\) | −0.548361 | + | 0.460129i | −0.0195968 | + | 0.0164437i | ||||
\(784\) | −2.77608 | − | 2.32941i | −0.0991459 | − | 0.0831933i | ||||
\(785\) | 1.22477 | + | 6.94602i | 0.0437139 | + | 0.247914i | ||||
\(786\) | 0.161364 | + | 0.279491i | 0.00575567 | + | 0.00996912i | ||||
\(787\) | −1.56029 | + | 2.70250i | −0.0556184 | + | 0.0963339i | −0.892494 | − | 0.451059i | \(-0.851046\pi\) |
0.836876 | + | 0.547393i | \(0.184380\pi\) | |||||||
\(788\) | −5.66021 | − | 2.06015i | −0.201636 | − | 0.0733897i | ||||
\(789\) | −0.959541 | − | 0.349244i | −0.0341606 | − | 0.0124334i | ||||
\(790\) | 6.06771 | − | 10.5096i | 0.215880 | − | 0.373914i | ||||
\(791\) | 0.773118 | + | 1.33908i | 0.0274889 | + | 0.0476122i | ||||
\(792\) | −1.28396 | − | 7.28171i | −0.0456236 | − | 0.258744i | ||||
\(793\) | 25.0494 | + | 21.0189i | 0.889530 | + | 0.746404i | ||||
\(794\) | 14.0915 | − | 11.8242i | 0.500089 | − | 0.419624i | ||||
\(795\) | −0.0120591 | + | 0.0683904i | −0.000427691 | + | 0.00242556i | ||||
\(796\) | −10.5749 | + | 3.84894i | −0.374816 | + | 0.136422i | ||||
\(797\) | −0.491495 | −0.0174096 | −0.00870482 | − | 0.999962i | \(-0.502771\pi\) | ||||
−0.00870482 | + | 0.999962i | \(0.502771\pi\) | |||||||
\(798\) | 0.208498 | − | 0.200816i | 0.00738075 | − | 0.00710882i | ||||
\(799\) | 84.2252 | 2.97967 | ||||||||
\(800\) | 0.939693 | − | 0.342020i | 0.0332232 | − | 0.0120922i | ||||
\(801\) | −8.85322 | + | 50.2091i | −0.312813 | + | 1.77405i | ||||
\(802\) | 27.9887 | − | 23.4853i | 0.988316 | − | 0.829296i | ||||
\(803\) | 0.964098 | + | 0.808975i | 0.0340223 | + | 0.0285481i | ||||
\(804\) | −0.0233331 | − | 0.132329i | −0.000822897 | − | 0.00466688i | ||||
\(805\) | −1.48915 | − | 2.57928i | −0.0524856 | − | 0.0909076i | ||||
\(806\) | −4.19250 | + | 7.26163i | −0.147675 | + | 0.255780i | ||||
\(807\) | −1.00341 | − | 0.365212i | −0.0353218 | − | 0.0128561i | ||||
\(808\) | −10.0155 | − | 3.64535i | −0.352345 | − | 0.128243i | ||||
\(809\) | −16.8276 | + | 29.1463i | −0.591628 | + | 1.02473i | 0.402386 | + | 0.915470i | \(0.368181\pi\) |
−0.994013 | + | 0.109259i | \(0.965152\pi\) | |||||||
\(810\) | 4.49412 | + | 7.78405i | 0.157907 | + | 0.273504i | ||||
\(811\) | −8.35435 | − | 47.3798i | −0.293361 | − | 1.66373i | −0.673791 | − | 0.738922i | \(-0.735335\pi\) |
0.380430 | − | 0.924810i | \(-0.375776\pi\) | |||||||
\(812\) | 4.64709 | + | 3.89937i | 0.163081 | + | 0.136841i | ||||
\(813\) | 0.747881 | − | 0.627547i | 0.0262293 | − | 0.0220090i | ||||
\(814\) | −2.57285 | + | 14.5913i | −0.0901783 | + | 0.511426i | ||||
\(815\) | 14.8996 | − | 5.42303i | 0.521912 | − | 0.189960i | ||||
\(816\) | 0.243682 | 0.00853056 | ||||||||
\(817\) | −20.1323 | − | 14.6674i | −0.704340 | − | 0.513146i | ||||
\(818\) | −36.3063 | −1.26942 | ||||||||
\(819\) | 12.3903 | − | 4.50972i | 0.432954 | − | 0.157582i | ||||
\(820\) | −1.38582 | + | 7.85939i | −0.0483950 | + | 0.274462i | ||||
\(821\) | −1.45115 | + | 1.21766i | −0.0506456 | + | 0.0424967i | −0.667759 | − | 0.744377i | \(-0.732746\pi\) |
0.617114 | + | 0.786874i | \(0.288302\pi\) | |||||||
\(822\) | −0.123310 | − | 0.103470i | −0.00430094 | − | 0.00360892i | ||||
\(823\) | −4.61152 | − | 26.1532i | −0.160747 | − | 0.911643i | −0.953342 | − | 0.301894i | \(-0.902381\pi\) |
0.792594 | − | 0.609749i | \(-0.208730\pi\) | |||||||
\(824\) | −4.87465 | − | 8.44314i | −0.169816 | − | 0.294131i | ||||
\(825\) | 0.0445610 | − | 0.0771820i | 0.00155142 | − | 0.00268713i | ||||
\(826\) | −8.20819 | − | 2.98754i | −0.285599 | − | 0.103950i | ||||
\(827\) | −24.2419 | − | 8.82334i | −0.842974 | − | 0.306818i | −0.115802 | − | 0.993272i | \(-0.536944\pi\) |
−0.727173 | + | 0.686455i | \(0.759166\pi\) | |||||||
\(828\) | 2.43032 | − | 4.20944i | 0.0844595 | − | 0.146288i | ||||
\(829\) | 13.9819 | + | 24.2173i | 0.485611 | + | 0.841102i | 0.999863 | − | 0.0165364i | \(-0.00526395\pi\) |
−0.514253 | + | 0.857639i | \(0.671931\pi\) | |||||||
\(830\) | −1.08227 | − | 6.13787i | −0.0375662 | − | 0.213049i | ||||
\(831\) | −0.669432 | − | 0.561720i | −0.0232223 | − | 0.0194859i | ||||
\(832\) | 1.83321 | − | 1.53825i | 0.0635553 | − | 0.0533292i | ||||
\(833\) | −4.24264 | + | 24.0612i | −0.146999 | + | 0.833672i | ||||
\(834\) | −0.0411465 | + | 0.0149761i | −0.00142479 | + | 0.000518581i | ||||
\(835\) | −13.6257 | −0.471539 | ||||||||
\(836\) | 2.58649 | + | 10.4321i | 0.0894556 | + | 0.360802i | ||||
\(837\) | 0.759689 | 0.0262587 | ||||||||
\(838\) | 37.1179 | − | 13.5098i | 1.28222 | − | 0.466689i | ||||
\(839\) | 8.66822 | − | 49.1599i | 0.299260 | − | 1.69719i | −0.350104 | − | 0.936711i | \(-0.613854\pi\) |
0.649364 | − | 0.760478i | \(-0.275035\pi\) | |||||||
\(840\) | −0.0508739 | + | 0.0426883i | −0.00175532 | + | 0.00147289i | ||||
\(841\) | −13.8651 | − | 11.6342i | −0.478107 | − | 0.401180i | ||||
\(842\) | 2.44853 | + | 13.8863i | 0.0843819 | + | 0.478554i | ||||
\(843\) | −0.0433910 | − | 0.0751555i | −0.00149447 | − | 0.00258849i | ||||
\(844\) | −7.03380 | + | 12.1829i | −0.242114 | + | 0.419353i | ||||
\(845\) | 6.83449 | + | 2.48755i | 0.235114 | + | 0.0855744i | ||||
\(846\) | −35.2024 | − | 12.8126i | −1.21028 | − | 0.440507i | ||||
\(847\) | 4.52008 | − | 7.82900i | 0.155312 | − | 0.269008i | ||||
\(848\) | 0.960680 | + | 1.66395i | 0.0329899 | + | 0.0571401i | ||||
\(849\) | 0.0511579 | + | 0.290131i | 0.00175573 | + | 0.00995726i | ||||
\(850\) | −5.16466 | − | 4.33366i | −0.177146 | − | 0.148643i | ||||
\(851\) | −7.46121 | + | 6.26070i | −0.255767 | + | 0.214614i | ||||
\(852\) | 0.0366106 | − | 0.207629i | 0.00125426 | − | 0.00711326i | ||||
\(853\) | 7.47637 | − | 2.72117i | 0.255986 | − | 0.0931712i | −0.210840 | − | 0.977521i | \(-0.567620\pi\) |
0.466826 | + | 0.884349i | \(0.345398\pi\) | |||||||
\(854\) | −25.1067 | −0.859135 | ||||||||
\(855\) | −7.29499 | − | 10.8459i | −0.249483 | − | 0.370923i | ||||
\(856\) | −13.2857 | −0.454097 | ||||||||
\(857\) | 23.6379 | − | 8.60350i | 0.807456 | − | 0.293890i | 0.0948835 | − | 0.995488i | \(-0.469752\pi\) |
0.712573 | + | 0.701598i | \(0.247530\pi\) | |||||||
\(858\) | 0.0370352 | − | 0.210037i | 0.00126436 | − | 0.00717055i | ||||
\(859\) | 2.65725 | − | 2.22970i | 0.0906643 | − | 0.0760764i | −0.596329 | − | 0.802740i | \(-0.703375\pi\) |
0.686993 | + | 0.726664i | \(0.258930\pi\) | |||||||
\(860\) | 4.37751 | + | 3.67317i | 0.149272 | + | 0.125254i | ||||
\(861\) | −0.0920342 | − | 0.521952i | −0.00313652 | − | 0.0177881i | ||||
\(862\) | 10.5216 | + | 18.2239i | 0.358366 | + | 0.620708i | ||||
\(863\) | 20.4854 | − | 35.4817i | 0.697331 | − | 1.20781i | −0.272058 | − | 0.962281i | \(-0.587704\pi\) |
0.969389 | − | 0.245531i | \(-0.0789624\pi\) | |||||||
\(864\) | −0.203741 | − | 0.0741555i | −0.00693140 | − | 0.00252282i | ||||
\(865\) | −11.3134 | − | 4.11774i | −0.384667 | − | 0.140007i | ||||
\(866\) | −2.62885 | + | 4.55330i | −0.0893318 | + | 0.154727i | ||||
\(867\) | −0.514225 | − | 0.890665i | −0.0174640 | − | 0.0302486i | ||||
\(868\) | −1.11795 | − | 6.34019i | −0.0379456 | − | 0.215200i | ||||
\(869\) | −22.9223 | − | 19.2341i | −0.777587 | − | 0.652473i | ||||
\(870\) | −0.0914134 | + | 0.0767049i | −0.00309920 | + | 0.00260054i | ||||
\(871\) | −1.54489 | + | 8.76150i | −0.0523466 | + | 0.296872i | ||||
\(872\) | 1.35684 | − | 0.493850i | 0.0459485 | − | 0.0167239i | ||||
\(873\) | 40.9616 | 1.38634 | ||||||||
\(874\) | −3.10561 | + | 6.34629i | −0.105049 | + | 0.214667i | ||||
\(875\) | 1.83741 | 0.0621158 | ||||||||
\(876\) | 0.0173356 | − | 0.00630963i | 0.000585715 | − | 0.000213183i | ||||
\(877\) | −4.31693 | + | 24.4825i | −0.145772 | + | 0.826716i | 0.820972 | + | 0.570969i | \(0.193432\pi\) |
−0.966744 | + | 0.255747i | \(0.917679\pi\) | |||||||
\(878\) | −27.9482 | + | 23.4513i | −0.943207 | + | 0.791445i | ||||
\(879\) | 0.254661 | + | 0.213686i | 0.00858949 | + | 0.00720744i | ||||
\(880\) | −0.428174 | − | 2.42830i | −0.0144337 | − | 0.0818578i | ||||
\(881\) | 7.87057 | + | 13.6322i | 0.265166 | + | 0.459281i | 0.967607 | − | 0.252461i | \(-0.0812398\pi\) |
−0.702441 | + | 0.711742i | \(0.747907\pi\) | |||||||
\(882\) | 5.43351 | − | 9.41112i | 0.182956 | − | 0.316889i | ||||
\(883\) | 7.29174 | + | 2.65398i | 0.245386 | + | 0.0893134i | 0.461786 | − | 0.886992i | \(-0.347209\pi\) |
−0.216399 | + | 0.976305i | \(0.569431\pi\) | |||||||
\(884\) | −15.1612 | − | 5.51821i | −0.509925 | − | 0.185598i | ||||
\(885\) | 0.0859133 | − | 0.148806i | 0.00288794 | − | 0.00500206i | ||||
\(886\) | −4.61535 | − | 7.99402i | −0.155056 | − | 0.268564i | ||||
\(887\) | 5.91436 | + | 33.5420i | 0.198585 | + | 1.12623i | 0.907221 | + | 0.420655i | \(0.138200\pi\) |
−0.708636 | + | 0.705574i | \(0.750689\pi\) | |||||||
\(888\) | 0.166373 | + | 0.139604i | 0.00558311 | + | 0.00468479i | ||||
\(889\) | 18.2780 | − | 15.3371i | 0.613025 | − | 0.514389i | ||||
\(890\) | −2.95236 | + | 16.7437i | −0.0989633 | + | 0.561249i | ||||
\(891\) | 20.8262 | − | 7.58013i | 0.697705 | − | 0.253944i | ||||
\(892\) | 25.3025 | 0.847189 | ||||||||
\(893\) | 52.3250 | + | 15.0783i | 1.75099 | + | 0.504575i | ||||
\(894\) | −0.335562 | −0.0112229 | ||||||||
\(895\) | −15.1037 | + | 5.49728i | −0.504860 | + | 0.183754i | ||||
\(896\) | −0.319063 | + | 1.80950i | −0.0106591 | + | 0.0604510i | ||||
\(897\) | 0.107401 | − | 0.0901204i | 0.00358603 | − | 0.00300903i | ||||
\(898\) | 17.4885 | + | 14.6746i | 0.583600 | + | 0.489698i | ||||
\(899\) | −2.00879 | − | 11.3924i | −0.0669970 | − | 0.379959i | ||||
\(900\) | 1.49935 | + | 2.59694i | 0.0499782 | + | 0.0865648i | ||||
\(901\) | 6.47689 | − | 11.2183i | 0.215776 | − | 0.373736i | ||||
\(902\) | 18.4915 | + | 6.73037i | 0.615701 | + | 0.224097i | ||||
\(903\) | −0.356616 | − | 0.129798i | −0.0118674 | − | 0.00431939i | ||||
\(904\) | −0.420765 | + | 0.728786i | −0.0139944 | + | 0.0242391i | ||||
\(905\) | −2.87655 | − | 4.98233i | −0.0956198 | − | 0.165618i | ||||
\(906\) | 0.0209987 | + | 0.119090i | 0.000697635 | + | 0.00395649i | ||||
\(907\) | 3.68281 | + | 3.09024i | 0.122286 | + | 0.102610i | 0.701880 | − | 0.712296i | \(-0.252344\pi\) |
−0.579594 | + | 0.814905i | \(0.696789\pi\) | |||||||
\(908\) | 16.8615 | − | 14.1485i | 0.559568 | − | 0.469533i | ||||
\(909\) | 5.54996 | − | 31.4754i | 0.184081 | − | 1.04397i | ||||
\(910\) | 4.13192 | − | 1.50389i | 0.136972 | − | 0.0498536i | ||||
\(911\) | 9.14462 | 0.302975 | 0.151487 | − | 0.988459i | \(-0.451594\pi\) | ||||
0.151487 | + | 0.988459i | \(0.451594\pi\) | |||||||
\(912\) | 0.151387 | + | 0.0436247i | 0.00501294 | + | 0.00144456i | ||||
\(913\) | −15.3680 | −0.508606 | ||||||||
\(914\) | −7.35323 | + | 2.67636i | −0.243223 | + | 0.0885260i | ||||
\(915\) | 0.0857609 | − | 0.486374i | 0.00283517 | − | 0.0160790i | ||||
\(916\) | −4.05643 | + | 3.40375i | −0.134028 | + | 0.112463i | ||||
\(917\) | 12.5679 | + | 10.5457i | 0.415029 | + | 0.348250i | ||||
\(918\) | 0.253834 | + | 1.43956i | 0.00837777 | + | 0.0475127i | ||||
\(919\) | 10.5408 | + | 18.2572i | 0.347709 | + | 0.602251i | 0.985842 | − | 0.167676i | \(-0.0536262\pi\) |
−0.638133 | + | 0.769926i | \(0.720293\pi\) | |||||||
\(920\) | 0.810460 | − | 1.40376i | 0.0267201 | − | 0.0462805i | ||||
\(921\) | 0.962788 | + | 0.350426i | 0.0317249 | + | 0.0115469i | ||||
\(922\) | −3.69457 | − | 1.34471i | −0.121674 | − | 0.0442858i | ||||
\(923\) | −6.97961 | + | 12.0890i | −0.229737 | + | 0.397915i | ||||
\(924\) | 0.0818769 | + | 0.141815i | 0.00269355 | + | 0.00466537i | ||||
\(925\) | −1.04343 | − | 5.91759i | −0.0343078 | − | 0.194569i | ||||
\(926\) | 13.2498 | + | 11.1179i | 0.435416 | + | 0.365357i | ||||
\(927\) | 22.3954 | − | 18.7920i | 0.735563 | − | 0.617210i | ||||
\(928\) | −0.573312 | + | 3.25141i | −0.0188199 | + | 0.106733i | ||||
\(929\) | −17.6774 | + | 6.43406i | −0.579978 | + | 0.211095i | −0.615316 | − | 0.788281i | \(-0.710971\pi\) |
0.0353379 | + | 0.999375i | \(0.488749\pi\) | |||||||
\(930\) | 0.126642 | 0.00415277 | ||||||||
\(931\) | −6.94326 | + | 14.1885i | −0.227556 | + | 0.465010i | ||||
\(932\) | 20.5518 | 0.673196 | ||||||||
\(933\) | −0.592364 | + | 0.215603i | −0.0193931 | + | 0.00705852i | ||||
\(934\) | 3.65126 | − | 20.7073i | 0.119473 | − | 0.677564i | ||||
\(935\) | −12.7348 | + | 10.6858i | −0.416472 | + | 0.349462i | ||||
\(936\) | 5.49725 | + | 4.61274i | 0.179683 | + | 0.150772i | ||||
\(937\) | −3.33653 | − | 18.9224i | −0.109000 | − | 0.618168i | −0.989547 | − | 0.144210i | \(-0.953936\pi\) |
0.880548 | − | 0.473958i | \(-0.157175\pi\) | |||||||
\(938\) | −3.41542 | − | 5.91568i | −0.111517 | − | 0.193154i | ||||
\(939\) | 0.238519 | − | 0.413127i | 0.00778378 | − | 0.0134819i | ||||
\(940\) | −11.7392 | − | 4.27274i | −0.382892 | − | 0.139361i | ||||
\(941\) | −14.6200 | − | 5.32125i | −0.476598 | − | 0.173468i | 0.0925407 | − | 0.995709i | \(-0.470501\pi\) |
−0.569139 | + | 0.822241i | \(0.692723\pi\) | |||||||
\(942\) | 0.127465 | − | 0.220775i | 0.00415302 | − | 0.00719324i | ||||
\(943\) | 6.46798 | + | 11.2029i | 0.210626 | + | 0.364816i | ||||
\(944\) | −0.825516 | − | 4.68173i | −0.0268683 | − | 0.152377i | ||||
\(945\) | −0.305177 | − | 0.256074i | −0.00992742 | − | 0.00833009i | ||||
\(946\) | 10.7939 | − | 9.05713i | 0.350939 | − | 0.294473i | ||||
\(947\) | −3.85079 | + | 21.8389i | −0.125134 | + | 0.709670i | 0.856094 | + | 0.516820i | \(0.172884\pi\) |
−0.981228 | + | 0.192850i | \(0.938227\pi\) | |||||||
\(948\) | −0.412170 | + | 0.150017i | −0.0133866 | + | 0.00487234i | ||||
\(949\) | −1.22145 | −0.0396500 | ||||||||
\(950\) | −2.43272 | − | 3.61689i | −0.0789279 | − | 0.117347i | ||||
\(951\) | −0.444078 | −0.0144002 | ||||||||
\(952\) | 11.6407 | − | 4.23688i | 0.377278 | − | 0.137318i | ||||
\(953\) | −0.860556 | + | 4.88046i | −0.0278762 | + | 0.158094i | −0.995568 | − | 0.0940411i | \(-0.970021\pi\) |
0.967692 | + | 0.252135i | \(0.0811326\pi\) | |||||||
\(954\) | −4.41362 | + | 3.70346i | −0.142896 | + | 0.119904i | ||||
\(955\) | −15.7392 | − | 13.2067i | −0.509307 | − | 0.427360i | ||||
\(956\) | 0.154055 | + | 0.873692i | 0.00498251 | + | 0.0282572i | ||||
\(957\) | 0.147121 | + | 0.254822i | 0.00475576 | + | 0.00823722i | ||||
\(958\) | 10.5658 | − | 18.3006i | 0.341367 | − | 0.591265i | ||||
\(959\) | −7.68958 | − | 2.79878i | −0.248309 | − | 0.0903772i | ||||
\(960\) | −0.0339642 | − | 0.0123619i | −0.00109619 | − | 0.000398980i | ||||
\(961\) | 9.36155 | − | 16.2147i | 0.301986 | − | 0.523054i | ||||
\(962\) | −7.18990 | − | 12.4533i | −0.231812 | − | 0.401510i | ||||
\(963\) | −6.91812 | − | 39.2346i | −0.222933 | − | 1.26432i | ||||
\(964\) | −3.06526 | − | 2.57206i | −0.0987255 | − | 0.0828406i | ||||
\(965\) | −9.58624 | + | 8.04381i | −0.308592 | + | 0.258939i | ||||
\(966\) | −0.0186927 | + | 0.106012i | −0.000601429 | + | 0.00341087i | ||||
\(967\) | 16.1902 | − | 5.89275i | 0.520642 | − | 0.189498i | −0.0683131 | − | 0.997664i | \(-0.521762\pi\) |
0.588955 | + | 0.808166i | \(0.299539\pi\) | |||||||
\(968\) | 4.92005 | 0.158136 | ||||||||
\(969\) | −0.255613 | − | 1.03097i | −0.00821148 | − | 0.0331195i | ||||
\(970\) | 13.6598 | 0.438591 | ||||||||
\(971\) | 3.57394 | − | 1.30081i | 0.114693 | − | 0.0417449i | −0.284036 | − | 0.958814i | \(-0.591674\pi\) |
0.398729 | + | 0.917069i | \(0.369451\pi\) | |||||||
\(972\) | 0.169362 | − | 0.960502i | 0.00543230 | − | 0.0308081i | ||||
\(973\) | −1.70519 | + | 1.43082i | −0.0546659 | + | 0.0458701i | ||||
\(974\) | 13.1762 | + | 11.0561i | 0.422193 | + | 0.354262i | ||||
\(975\) | 0.0150198 | + | 0.0851816i | 0.000481019 | + | 0.00272799i | ||||
\(976\) | −6.83209 | − | 11.8335i | −0.218690 | − | 0.378782i | ||||
\(977\) | 30.8958 | − | 53.5131i | 0.988445 | − | 1.71204i | 0.362949 | − | 0.931809i | \(-0.381770\pi\) |
0.625496 | − | 0.780227i | \(-0.284897\pi\) | |||||||
\(978\) | −0.538531 | − | 0.196009i | −0.0172203 | − | 0.00626769i | ||||
\(979\) | 39.3944 | + | 14.3384i | 1.25905 | + | 0.458257i | ||||
\(980\) | 1.81196 | − | 3.13841i | 0.0578809 | − | 0.100253i | ||||
\(981\) | 2.16494 | + | 3.74978i | 0.0691212 | + | 0.119721i | ||||
\(982\) | 5.75424 | + | 32.6339i | 0.183625 | + | 1.04139i | ||||
\(983\) | −9.12934 | − | 7.66042i | −0.291181 | − | 0.244330i | 0.485482 | − | 0.874247i | \(-0.338644\pi\) |
−0.776662 | + | 0.629917i | \(0.783089\pi\) | |||||||
\(984\) | 0.220967 | − | 0.185413i | 0.00704416 | − | 0.00591075i | ||||
\(985\) | 1.04596 | − | 5.93195i | 0.0333272 | − | 0.189008i | ||||
\(986\) | 20.9167 | − | 7.61307i | 0.666125 | − | 0.242450i | ||||
\(987\) | 0.829652 | 0.0264081 | ||||||||
\(988\) | −8.43100 | − | 6.14240i | −0.268226 | − | 0.195416i | ||||
\(989\) | 9.26263 | 0.294535 | ||||||||
\(990\) | 6.94813 | − | 2.52891i | 0.220826 | − | 0.0803741i | ||||
\(991\) | 2.80361 | − | 15.9001i | 0.0890596 | − | 0.505082i | −0.907347 | − | 0.420383i | \(-0.861896\pi\) |
0.996407 | − | 0.0846996i | \(-0.0269931\pi\) | |||||||
\(992\) | 2.68410 | − | 2.25222i | 0.0852202 | − | 0.0715082i | ||||
\(993\) | 0.0275935 | + | 0.0231537i | 0.000875654 | + | 0.000734761i | ||||
\(994\) | −1.86114 | − | 10.5550i | −0.0590317 | − | 0.334785i | ||||
\(995\) | −5.62677 | − | 9.74585i | −0.178381 | − | 0.308964i | ||||
\(996\) | −0.112635 | + | 0.195089i | −0.00356896 | + | 0.00618162i | ||||
\(997\) | 39.9680 | + | 14.5471i | 1.26580 | + | 0.460713i | 0.885711 | − | 0.464238i | \(-0.153672\pi\) |
0.380088 | + | 0.924951i | \(0.375894\pi\) | |||||||
\(998\) | −30.0418 | − | 10.9343i | −0.950958 | − | 0.346120i | ||||
\(999\) | −0.651412 | + | 1.12828i | −0.0206098 | + | 0.0356971i |
(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 | 190.2.k.d.81.2 | yes | 18 | |
5.2 | odd | 4 | 950.2.u.g.499.5 | 36 | |||
5.3 | odd | 4 | 950.2.u.g.499.2 | 36 | |||
5.4 | even | 2 | 950.2.l.i.651.2 | 18 | |||
19.2 | odd | 18 | 3610.2.a.bj.1.5 | 9 | |||
19.4 | even | 9 | inner | 190.2.k.d.61.2 | ✓ | 18 | |
19.17 | even | 9 | 3610.2.a.bi.1.5 | 9 | |||
95.4 | even | 18 | 950.2.l.i.251.2 | 18 | |||
95.23 | odd | 36 | 950.2.u.g.99.5 | 36 | |||
95.42 | odd | 36 | 950.2.u.g.99.2 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.61.2 | ✓ | 18 | 19.4 | even | 9 | inner | |
190.2.k.d.81.2 | yes | 18 | 1.1 | even | 1 | trivial | |
950.2.l.i.251.2 | 18 | 95.4 | even | 18 | |||
950.2.l.i.651.2 | 18 | 5.4 | even | 2 | |||
950.2.u.g.99.2 | 36 | 95.42 | odd | 36 | |||
950.2.u.g.99.5 | 36 | 95.23 | odd | 36 | |||
950.2.u.g.499.2 | 36 | 5.3 | odd | 4 | |||
950.2.u.g.499.5 | 36 | 5.2 | odd | 4 | |||
3610.2.a.bi.1.5 | 9 | 19.17 | even | 9 | |||
3610.2.a.bj.1.5 | 9 | 19.2 | odd | 18 |