Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(29,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 127.1 | ||
Root | \(0.142315 + 0.989821i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 322.127 |
Dual form | 322.2.i.a.71.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.841254 | + | 0.540641i | −0.594856 | + | 0.382291i | ||||
\(3\) | 0.130785 | − | 0.909632i | 0.0755089 | − | 0.525176i | −0.916601 | − | 0.399804i | \(-0.869078\pi\) |
0.992110 | − | 0.125373i | \(-0.0400126\pi\) | |||||||
\(4\) | 0.415415 | − | 0.909632i | 0.207708 | − | 0.454816i | ||||
\(5\) | 2.30075 | − | 0.675560i | 1.02893 | − | 0.302120i | 0.276651 | − | 0.960970i | \(-0.410775\pi\) |
0.752274 | + | 0.658851i | \(0.228957\pi\) | |||||||
\(6\) | 0.381761 | + | 0.835939i | 0.155853 | + | 0.341271i | ||||
\(7\) | 0.654861 | + | 0.755750i | 0.247514 | + | 0.285646i | ||||
\(8\) | 0.142315 | + | 0.989821i | 0.0503159 | + | 0.349955i | ||||
\(9\) | 2.06815 | + | 0.607265i | 0.689384 | + | 0.202422i | ||||
\(10\) | −1.57028 | + | 1.81219i | −0.496565 | + | 0.573066i | ||||
\(11\) | −3.45561 | − | 2.22078i | −1.04190 | − | 0.669592i | −0.0964476 | − | 0.995338i | \(-0.530748\pi\) |
−0.945457 | + | 0.325747i | \(0.894384\pi\) | |||||||
\(12\) | −0.773100 | − | 0.496841i | −0.223175 | − | 0.143426i | ||||
\(13\) | 0.442270 | − | 0.510407i | 0.122664 | − | 0.141561i | −0.691096 | − | 0.722763i | \(-0.742872\pi\) |
0.813760 | + | 0.581202i | \(0.197417\pi\) | |||||||
\(14\) | −0.959493 | − | 0.281733i | −0.256435 | − | 0.0752962i | ||||
\(15\) | −0.313607 | − | 2.18119i | −0.0809730 | − | 0.563180i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 1.52357 | + | 3.33616i | 0.369521 | + | 0.809138i | 0.999472 | + | 0.0325028i | \(0.0103478\pi\) |
−0.629951 | + | 0.776635i | \(0.716925\pi\) | |||||||
\(18\) | −2.06815 | + | 0.607265i | −0.487468 | + | 0.143134i | ||||
\(19\) | 1.75667 | − | 3.84657i | 0.403007 | − | 0.882463i | −0.593949 | − | 0.804503i | \(-0.702432\pi\) |
0.996956 | − | 0.0779605i | \(-0.0248408\pi\) | |||||||
\(20\) | 0.341254 | − | 2.37347i | 0.0763066 | − | 0.530724i | ||||
\(21\) | 0.773100 | − | 0.496841i | 0.168704 | − | 0.108420i | ||||
\(22\) | 4.10769 | 0.875762 | ||||||||
\(23\) | 3.21727 | − | 3.55657i | 0.670847 | − | 0.741596i | ||||
\(24\) | 0.918986 | 0.187587 | ||||||||
\(25\) | 0.630785 | − | 0.405381i | 0.126157 | − | 0.0810762i | ||||
\(26\) | −0.0961145 | + | 0.668491i | −0.0188496 | + | 0.131102i | ||||
\(27\) | 1.96815 | − | 4.30965i | 0.378771 | − | 0.829393i | ||||
\(28\) | 0.959493 | − | 0.281733i | 0.181327 | − | 0.0532424i | ||||
\(29\) | −0.445841 | − | 0.976256i | −0.0827906 | − | 0.181286i | 0.863709 | − | 0.503990i | \(-0.168135\pi\) |
−0.946500 | + | 0.322704i | \(0.895408\pi\) | |||||||
\(30\) | 1.44306 | + | 1.66538i | 0.263466 | + | 0.304056i | ||||
\(31\) | 0.525092 | + | 3.65209i | 0.0943093 | + | 0.655935i | 0.981062 | + | 0.193692i | \(0.0620463\pi\) |
−0.886753 | + | 0.462243i | \(0.847045\pi\) | |||||||
\(32\) | 0.959493 | + | 0.281733i | 0.169616 | + | 0.0498038i | ||||
\(33\) | −2.47204 | + | 2.85288i | −0.430327 | + | 0.496624i | ||||
\(34\) | −3.08538 | − | 1.98285i | −0.529138 | − | 0.340056i | ||||
\(35\) | 2.01722 | + | 1.29639i | 0.340973 | + | 0.219130i | ||||
\(36\) | 1.41153 | − | 1.62899i | 0.235255 | − | 0.271499i | ||||
\(37\) | 8.25654 | + | 2.42434i | 1.35737 | + | 0.398559i | 0.877834 | − | 0.478965i | \(-0.158988\pi\) |
0.479533 | + | 0.877524i | \(0.340806\pi\) | |||||||
\(38\) | 0.601808 | + | 4.18567i | 0.0976261 | + | 0.679005i | ||||
\(39\) | −0.406440 | − | 0.469057i | −0.0650825 | − | 0.0751092i | ||||
\(40\) | 0.996114 | + | 2.18119i | 0.157499 | + | 0.344876i | ||||
\(41\) | −4.74788 | + | 1.39410i | −0.741494 | + | 0.217722i | −0.630598 | − | 0.776110i | \(-0.717190\pi\) |
−0.110896 | + | 0.993832i | \(0.535372\pi\) | |||||||
\(42\) | −0.381761 | + | 0.835939i | −0.0589069 | + | 0.128988i | ||||
\(43\) | −0.187094 | + | 1.30127i | −0.0285316 | + | 0.198442i | −0.999102 | − | 0.0423771i | \(-0.986507\pi\) |
0.970570 | + | 0.240819i | \(0.0774160\pi\) | |||||||
\(44\) | −3.45561 | + | 2.22078i | −0.520952 | + | 0.334796i | ||||
\(45\) | 5.16854 | 0.770481 | ||||||||
\(46\) | −0.783711 | + | 4.73136i | −0.115552 | + | 0.697601i | ||||
\(47\) | −2.95001 | −0.430303 | −0.215152 | − | 0.976581i | \(-0.569025\pi\) | ||||
−0.215152 | + | 0.976581i | \(0.569025\pi\) | |||||||
\(48\) | −0.773100 | + | 0.496841i | −0.111587 | + | 0.0717129i | ||||
\(49\) | −0.142315 | + | 0.989821i | −0.0203307 | + | 0.141403i | ||||
\(50\) | −0.311485 | + | 0.682057i | −0.0440506 | + | 0.0964574i | ||||
\(51\) | 3.23394 | − | 0.949570i | 0.452842 | − | 0.132966i | ||||
\(52\) | −0.280557 | − | 0.614334i | −0.0389062 | − | 0.0851928i | ||||
\(53\) | −7.47107 | − | 8.62207i | −1.02623 | − | 1.18433i | −0.982686 | − | 0.185281i | \(-0.940680\pi\) |
−0.0435444 | − | 0.999051i | \(-0.513865\pi\) | |||||||
\(54\) | 0.674259 | + | 4.68958i | 0.0917551 | + | 0.638170i | ||||
\(55\) | −9.45075 | − | 2.77499i | −1.27434 | − | 0.374180i | ||||
\(56\) | −0.654861 | + | 0.755750i | −0.0875094 | + | 0.100991i | ||||
\(57\) | −3.26921 | − | 2.10100i | −0.433018 | − | 0.278284i | ||||
\(58\) | 0.902869 | + | 0.580239i | 0.118553 | + | 0.0761891i | ||||
\(59\) | −2.85848 | + | 3.29886i | −0.372142 | + | 0.429475i | −0.910671 | − | 0.413132i | \(-0.864435\pi\) |
0.538529 | + | 0.842607i | \(0.318980\pi\) | |||||||
\(60\) | −2.11435 | − | 0.620830i | −0.272962 | − | 0.0801488i | ||||
\(61\) | 0.699730 | + | 4.86673i | 0.0895912 | + | 0.623121i | 0.984304 | + | 0.176479i | \(0.0564709\pi\) |
−0.894713 | + | 0.446641i | \(0.852620\pi\) | |||||||
\(62\) | −2.41621 | − | 2.78845i | −0.306858 | − | 0.354134i | ||||
\(63\) | 0.895412 | + | 1.96068i | 0.112811 | + | 0.247022i | ||||
\(64\) | −0.959493 | + | 0.281733i | −0.119937 | + | 0.0352166i | ||||
\(65\) | 0.672741 | − | 1.47310i | 0.0834432 | − | 0.182715i | ||||
\(66\) | 0.537225 | − | 3.73648i | 0.0661279 | − | 0.459929i | ||||
\(67\) | 2.97001 | − | 1.90871i | 0.362845 | − | 0.233186i | −0.346497 | − | 0.938051i | \(-0.612629\pi\) |
0.709342 | + | 0.704865i | \(0.248992\pi\) | |||||||
\(68\) | 3.66759 | 0.444761 | ||||||||
\(69\) | −2.81440 | − | 3.39168i | −0.338814 | − | 0.408310i | ||||
\(70\) | −2.39788 | −0.286601 | ||||||||
\(71\) | −4.59845 | + | 2.95525i | −0.545736 | + | 0.350723i | −0.784279 | − | 0.620409i | \(-0.786967\pi\) |
0.238543 | + | 0.971132i | \(0.423330\pi\) | |||||||
\(72\) | −0.306755 | + | 2.13353i | −0.0361514 | + | 0.251438i | ||||
\(73\) | −1.85763 | + | 4.06765i | −0.217419 | + | 0.476082i | −0.986643 | − | 0.162898i | \(-0.947916\pi\) |
0.769224 | + | 0.638980i | \(0.220643\pi\) | |||||||
\(74\) | −8.25654 | + | 2.42434i | −0.959803 | + | 0.281824i | ||||
\(75\) | −0.286250 | − | 0.626800i | −0.0330533 | − | 0.0723767i | ||||
\(76\) | −2.76921 | − | 3.19584i | −0.317651 | − | 0.366588i | ||||
\(77\) | −0.584585 | − | 4.06588i | −0.0666196 | − | 0.463350i | ||||
\(78\) | 0.595510 | + | 0.174858i | 0.0674283 | + | 0.0197987i | ||||
\(79\) | −7.31964 | + | 8.44732i | −0.823524 | + | 0.950398i | −0.999421 | − | 0.0340110i | \(-0.989172\pi\) |
0.175897 | + | 0.984409i | \(0.443717\pi\) | |||||||
\(80\) | −2.01722 | − | 1.29639i | −0.225532 | − | 0.144941i | ||||
\(81\) | 1.77708 | + | 1.14206i | 0.197454 | + | 0.126896i | ||||
\(82\) | 3.24046 | − | 3.73969i | 0.357849 | − | 0.412980i | ||||
\(83\) | −16.4238 | − | 4.82245i | −1.80274 | − | 0.529333i | −0.804806 | − | 0.593538i | \(-0.797731\pi\) |
−0.997937 | + | 0.0642052i | \(0.979549\pi\) | |||||||
\(84\) | −0.130785 | − | 0.909632i | −0.0142699 | − | 0.0992490i | ||||
\(85\) | 5.75913 | + | 6.64639i | 0.624666 | + | 0.720903i | ||||
\(86\) | −0.546126 | − | 1.19585i | −0.0588903 | − | 0.128952i | ||||
\(87\) | −0.946343 | + | 0.277871i | −0.101459 | + | 0.0297909i | ||||
\(88\) | 1.70640 | − | 3.73648i | 0.181902 | − | 0.398311i | ||||
\(89\) | −1.92745 | + | 13.4057i | −0.204310 | + | 1.42101i | 0.586998 | + | 0.809588i | \(0.300309\pi\) |
−0.791308 | + | 0.611417i | \(0.790600\pi\) | |||||||
\(90\) | −4.34805 | + | 2.79432i | −0.458325 | + | 0.294548i | ||||
\(91\) | 0.675365 | 0.0707975 | ||||||||
\(92\) | −1.89867 | − | 4.40398i | −0.197950 | − | 0.459147i | ||||
\(93\) | 3.39074 | 0.351603 | ||||||||
\(94\) | 2.48171 | − | 1.59490i | 0.255969 | − | 0.164501i | ||||
\(95\) | 1.44306 | − | 10.0367i | 0.148055 | − | 1.02974i | ||||
\(96\) | 0.381761 | − | 0.835939i | 0.0389633 | − | 0.0853177i | ||||
\(97\) | 7.13787 | − | 2.09587i | 0.724741 | − | 0.212803i | 0.101503 | − | 0.994835i | \(-0.467635\pi\) |
0.623238 | + | 0.782032i | \(0.285817\pi\) | |||||||
\(98\) | −0.415415 | − | 0.909632i | −0.0419633 | − | 0.0918867i | ||||
\(99\) | −5.79812 | − | 6.69139i | −0.582733 | − | 0.672510i | ||||
\(100\) | −0.106710 | − | 0.742184i | −0.0106710 | − | 0.0742184i | ||||
\(101\) | −16.3844 | − | 4.81091i | −1.63031 | − | 0.478703i | −0.666550 | − | 0.745461i | \(-0.732230\pi\) |
−0.963764 | + | 0.266757i | \(0.914048\pi\) | |||||||
\(102\) | −2.20719 | + | 2.54723i | −0.218544 | + | 0.252213i | ||||
\(103\) | −1.56061 | − | 1.00294i | −0.153771 | − | 0.0988227i | 0.461493 | − | 0.887144i | \(-0.347314\pi\) |
−0.615264 | + | 0.788321i | \(0.710950\pi\) | |||||||
\(104\) | 0.568153 | + | 0.365130i | 0.0557120 | + | 0.0358039i | ||||
\(105\) | 1.44306 | − | 1.66538i | 0.140828 | − | 0.162525i | ||||
\(106\) | 10.9465 | + | 3.21418i | 1.06322 | + | 0.312189i | ||||
\(107\) | 2.24926 | + | 15.6440i | 0.217444 | + | 1.51236i | 0.747424 | + | 0.664348i | \(0.231291\pi\) |
−0.529980 | + | 0.848010i | \(0.677800\pi\) | |||||||
\(108\) | −3.10260 | − | 3.58059i | −0.298548 | − | 0.344542i | ||||
\(109\) | 5.63866 | + | 12.3469i | 0.540086 | + | 1.18262i | 0.961260 | + | 0.275643i | \(0.0888908\pi\) |
−0.421174 | + | 0.906980i | \(0.638382\pi\) | |||||||
\(110\) | 9.45075 | − | 2.77499i | 0.901094 | − | 0.264585i | ||||
\(111\) | 3.28509 | − | 7.19335i | 0.311807 | − | 0.682762i | ||||
\(112\) | 0.142315 | − | 0.989821i | 0.0134475 | − | 0.0935293i | ||||
\(113\) | 5.16236 | − | 3.31765i | 0.485634 | − | 0.312098i | −0.274813 | − | 0.961498i | \(-0.588616\pi\) |
0.760447 | + | 0.649400i | \(0.224980\pi\) | |||||||
\(114\) | 3.88612 | 0.363969 | ||||||||
\(115\) | 4.99944 | − | 10.3562i | 0.466200 | − | 0.965723i | ||||
\(116\) | −1.07324 | −0.0996481 | ||||||||
\(117\) | 1.22463 | − | 0.787025i | 0.113218 | − | 0.0727605i | ||||
\(118\) | 0.621206 | − | 4.32058i | 0.0571867 | − | 0.397742i | ||||
\(119\) | −1.52357 | + | 3.33616i | −0.139666 | + | 0.305825i | ||||
\(120\) | 2.11435 | − | 0.620830i | 0.193013 | − | 0.0566738i | ||||
\(121\) | 2.43978 | + | 5.34236i | 0.221798 | + | 0.485669i | ||||
\(122\) | −3.21980 | − | 3.71585i | −0.291507 | − | 0.336417i | ||||
\(123\) | 0.647168 | + | 4.50115i | 0.0583532 | + | 0.405855i | ||||
\(124\) | 3.54019 | + | 1.03949i | 0.317919 | + | 0.0933493i | ||||
\(125\) | −6.67396 | + | 7.70216i | −0.596937 | + | 0.688902i | ||||
\(126\) | −1.81329 | − | 1.16533i | −0.161541 | − | 0.103816i | ||||
\(127\) | 8.50112 | + | 5.46334i | 0.754352 | + | 0.484793i | 0.860432 | − | 0.509565i | \(-0.170194\pi\) |
−0.106080 | + | 0.994358i | \(0.533830\pi\) | |||||||
\(128\) | 0.654861 | − | 0.755750i | 0.0578821 | − | 0.0667995i | ||||
\(129\) | 1.15921 | + | 0.340374i | 0.102063 | + | 0.0299683i | ||||
\(130\) | 0.230471 | + | 1.60296i | 0.0202136 | + | 0.140589i | ||||
\(131\) | 2.63422 | + | 3.04005i | 0.230153 | + | 0.265611i | 0.859066 | − | 0.511865i | \(-0.171045\pi\) |
−0.628913 | + | 0.777476i | \(0.716500\pi\) | |||||||
\(132\) | 1.56815 | + | 3.43378i | 0.136490 | + | 0.298872i | ||||
\(133\) | 4.05742 | − | 1.19136i | 0.351823 | − | 0.103304i | ||||
\(134\) | −1.46661 | + | 3.21142i | −0.126696 | + | 0.277425i | ||||
\(135\) | 1.61679 | − | 11.2450i | 0.139151 | − | 0.967818i | ||||
\(136\) | −3.08538 | + | 1.98285i | −0.264569 | + | 0.170028i | ||||
\(137\) | −7.56840 | −0.646612 | −0.323306 | − | 0.946295i | \(-0.604794\pi\) | ||||
−0.323306 | + | 0.946295i | \(0.604794\pi\) | |||||||
\(138\) | 4.20130 | + | 1.33168i | 0.357639 | + | 0.113360i | ||||
\(139\) | −15.7758 | −1.33808 | −0.669042 | − | 0.743225i | \(-0.733295\pi\) | ||||
−0.669042 | + | 0.743225i | \(0.733295\pi\) | |||||||
\(140\) | 2.01722 | − | 1.29639i | 0.170486 | − | 0.109565i | ||||
\(141\) | −0.385818 | + | 2.68342i | −0.0324918 | + | 0.225985i | ||||
\(142\) | 2.27074 | − | 4.97222i | 0.190556 | − | 0.417260i | ||||
\(143\) | −2.66182 | + | 0.781580i | −0.222592 | + | 0.0653590i | ||||
\(144\) | −0.895412 | − | 1.96068i | −0.0746177 | − | 0.163390i | ||||
\(145\) | −1.68529 | − | 1.94492i | −0.139955 | − | 0.161517i | ||||
\(146\) | −0.636396 | − | 4.42623i | −0.0526685 | − | 0.366318i | ||||
\(147\) | 0.881761 | + | 0.258908i | 0.0727264 | + | 0.0213544i | ||||
\(148\) | 5.63515 | − | 6.50331i | 0.463206 | − | 0.534569i | ||||
\(149\) | 11.3073 | + | 7.26676i | 0.926330 | + | 0.595316i | 0.914488 | − | 0.404614i | \(-0.132594\pi\) |
0.0118421 | + | 0.999930i | \(0.496230\pi\) | |||||||
\(150\) | 0.579683 | + | 0.372540i | 0.0473309 | + | 0.0304177i | ||||
\(151\) | 10.6288 | − | 12.2663i | 0.864960 | − | 0.998217i | −0.135013 | − | 0.990844i | \(-0.543108\pi\) |
0.999973 | − | 0.00737306i | \(-0.00234694\pi\) | |||||||
\(152\) | 4.05742 | + | 1.19136i | 0.329100 | + | 0.0966324i | ||||
\(153\) | 1.12505 | + | 7.82490i | 0.0909550 | + | 0.632606i | ||||
\(154\) | 2.68996 | + | 3.10438i | 0.216763 | + | 0.250158i | ||||
\(155\) | 3.67531 | + | 8.04781i | 0.295208 | + | 0.646416i | ||||
\(156\) | −0.595510 | + | 0.174858i | −0.0476790 | + | 0.0139998i | ||||
\(157\) | 2.14382 | − | 4.69432i | 0.171096 | − | 0.374648i | −0.804587 | − | 0.593835i | \(-0.797613\pi\) |
0.975683 | + | 0.219187i | \(0.0703406\pi\) | |||||||
\(158\) | 1.59071 | − | 11.0636i | 0.126550 | − | 0.880175i | ||||
\(159\) | −8.82002 | + | 5.66828i | −0.699473 | + | 0.449524i | ||||
\(160\) | 2.39788 | 0.189569 | ||||||||
\(161\) | 4.79474 | + | 0.102391i | 0.377878 | + | 0.00806951i | ||||
\(162\) | −2.11242 | −0.165968 | ||||||||
\(163\) | 10.0169 | − | 6.43748i | 0.784585 | − | 0.504222i | −0.0859671 | − | 0.996298i | \(-0.527398\pi\) |
0.870552 | + | 0.492076i | \(0.163762\pi\) | |||||||
\(164\) | −0.704220 | + | 4.89796i | −0.0549903 | + | 0.382466i | ||||
\(165\) | −3.76024 | + | 8.23378i | −0.292734 | + | 0.640999i | ||||
\(166\) | 16.4238 | − | 4.82245i | 1.27473 | − | 0.374295i | ||||
\(167\) | 6.02961 | + | 13.2030i | 0.466585 | + | 1.02168i | 0.985937 | + | 0.167118i | \(0.0534462\pi\) |
−0.519352 | + | 0.854561i | \(0.673827\pi\) | |||||||
\(168\) | 0.601808 | + | 0.694523i | 0.0464305 | + | 0.0535836i | ||||
\(169\) | 1.78518 | + | 12.4162i | 0.137322 | + | 0.955093i | ||||
\(170\) | −8.43820 | − | 2.47768i | −0.647181 | − | 0.190029i | ||||
\(171\) | 5.96894 | − | 6.88853i | 0.456457 | − | 0.526779i | ||||
\(172\) | 1.10596 | + | 0.710754i | 0.0843283 | + | 0.0541945i | ||||
\(173\) | −9.63976 | − | 6.19510i | −0.732897 | − | 0.471004i | 0.120204 | − | 0.992749i | \(-0.461645\pi\) |
−0.853102 | + | 0.521745i | \(0.825281\pi\) | |||||||
\(174\) | 0.645886 | − | 0.745392i | 0.0489645 | − | 0.0565080i | ||||
\(175\) | 0.719443 | + | 0.211248i | 0.0543848 | + | 0.0159688i | ||||
\(176\) | 0.584585 | + | 4.06588i | 0.0440648 | + | 0.306477i | ||||
\(177\) | 2.62690 | + | 3.03160i | 0.197450 | + | 0.227869i | ||||
\(178\) | −5.62621 | − | 12.3197i | −0.421702 | − | 0.923400i | ||||
\(179\) | 9.03335 | − | 2.65243i | 0.675184 | − | 0.198252i | 0.0738738 | − | 0.997268i | \(-0.476464\pi\) |
0.601310 | + | 0.799016i | \(0.294646\pi\) | |||||||
\(180\) | 2.14709 | − | 4.70147i | 0.160035 | − | 0.350427i | ||||
\(181\) | 2.28347 | − | 15.8819i | 0.169729 | − | 1.18049i | −0.709714 | − | 0.704490i | \(-0.751176\pi\) |
0.879443 | − | 0.476004i | \(-0.157915\pi\) | |||||||
\(182\) | −0.568153 | + | 0.365130i | −0.0421143 | + | 0.0270652i | ||||
\(183\) | 4.51845 | 0.334013 | ||||||||
\(184\) | 3.97823 | + | 2.67837i | 0.293279 | + | 0.197452i | ||||
\(185\) | 20.6340 | 1.51704 | ||||||||
\(186\) | −2.85247 | + | 1.83317i | −0.209153 | + | 0.134415i | ||||
\(187\) | 2.14402 | − | 14.9120i | 0.156786 | − | 1.09047i | ||||
\(188\) | −1.22548 | + | 2.68342i | −0.0893772 | + | 0.195709i | ||||
\(189\) | 4.54589 | − | 1.33479i | 0.330665 | − | 0.0970919i | ||||
\(190\) | 4.21228 | + | 9.22360i | 0.305591 | + | 0.669150i | ||||
\(191\) | −8.13325 | − | 9.38627i | −0.588501 | − | 0.679167i | 0.380909 | − | 0.924613i | \(-0.375611\pi\) |
−0.969410 | + | 0.245446i | \(0.921066\pi\) | |||||||
\(192\) | 0.130785 | + | 0.909632i | 0.00943862 | + | 0.0656470i | ||||
\(193\) | −3.03327 | − | 0.890647i | −0.218339 | − | 0.0641102i | 0.170733 | − | 0.985317i | \(-0.445386\pi\) |
−0.389073 | + | 0.921207i | \(0.627205\pi\) | |||||||
\(194\) | −4.87165 | + | 5.62218i | −0.349764 | + | 0.403649i | ||||
\(195\) | −1.25199 | − | 0.804606i | −0.0896570 | − | 0.0576190i | ||||
\(196\) | 0.841254 | + | 0.540641i | 0.0600895 | + | 0.0386172i | ||||
\(197\) | 10.8149 | − | 12.4811i | 0.770530 | − | 0.889239i | −0.225858 | − | 0.974160i | \(-0.572518\pi\) |
0.996388 | + | 0.0849214i | \(0.0270639\pi\) | |||||||
\(198\) | 8.49533 | + | 2.49445i | 0.603737 | + | 0.177273i | ||||
\(199\) | 0.298639 | + | 2.07708i | 0.0211700 | + | 0.147240i | 0.997665 | − | 0.0683004i | \(-0.0217576\pi\) |
−0.976495 | + | 0.215541i | \(0.930849\pi\) | |||||||
\(200\) | 0.491025 | + | 0.566673i | 0.0347207 | + | 0.0400698i | ||||
\(201\) | −1.34779 | − | 2.95125i | −0.0950659 | − | 0.208165i | ||||
\(202\) | 16.3844 | − | 4.81091i | 1.15281 | − | 0.338494i | ||||
\(203\) | 0.445841 | − | 0.976256i | 0.0312919 | − | 0.0685197i | ||||
\(204\) | 0.479667 | − | 3.33616i | 0.0335834 | − | 0.233578i | ||||
\(205\) | −9.98187 | + | 6.41496i | −0.697164 | + | 0.448040i | ||||
\(206\) | 1.85510 | 0.129251 | ||||||||
\(207\) | 8.81358 | − | 5.40180i | 0.612586 | − | 0.375451i | ||||
\(208\) | −0.675365 | −0.0468282 | ||||||||
\(209\) | −14.6128 | + | 9.39105i | −1.01079 | + | 0.649592i | ||||
\(210\) | −0.313607 | + | 2.18119i | −0.0216410 | + | 0.150516i | ||||
\(211\) | −9.82295 | + | 21.5093i | −0.676240 | + | 1.48076i | 0.190339 | + | 0.981718i | \(0.439041\pi\) |
−0.866579 | + | 0.499040i | \(0.833686\pi\) | |||||||
\(212\) | −10.9465 | + | 3.21418i | −0.751809 | + | 0.220751i | ||||
\(213\) | 2.08678 | + | 4.56940i | 0.142984 | + | 0.313090i | ||||
\(214\) | −10.3500 | − | 11.9445i | −0.707509 | − | 0.816508i | ||||
\(215\) | 0.448629 | + | 3.12029i | 0.0305963 | + | 0.212802i | ||||
\(216\) | 4.54589 | + | 1.33479i | 0.309308 | + | 0.0908211i | ||||
\(217\) | −2.41621 | + | 2.78845i | −0.164023 | + | 0.189292i | ||||
\(218\) | −11.4188 | − | 7.33842i | −0.773379 | − | 0.497021i | ||||
\(219\) | 3.45711 | + | 2.22175i | 0.233610 | + | 0.150132i | ||||
\(220\) | −6.45020 | + | 7.44393i | −0.434873 | + | 0.501870i | ||||
\(221\) | 2.37663 | + | 0.697842i | 0.159869 | + | 0.0469419i | ||||
\(222\) | 1.12542 | + | 7.82748i | 0.0755334 | + | 0.525346i | ||||
\(223\) | −7.96383 | − | 9.19075i | −0.533298 | − | 0.615458i | 0.423612 | − | 0.905844i | \(-0.360762\pi\) |
−0.956910 | + | 0.290385i | \(0.906217\pi\) | |||||||
\(224\) | 0.415415 | + | 0.909632i | 0.0277561 | + | 0.0607773i | ||||
\(225\) | 1.55073 | − | 0.455337i | 0.103382 | − | 0.0303558i | ||||
\(226\) | −2.54920 | + | 5.58197i | −0.169570 | + | 0.371307i | ||||
\(227\) | 1.23312 | − | 8.57654i | 0.0818451 | − | 0.569245i | −0.907095 | − | 0.420927i | \(-0.861705\pi\) |
0.988940 | − | 0.148318i | \(-0.0473860\pi\) | |||||||
\(228\) | −3.26921 | + | 2.10100i | −0.216509 | + | 0.139142i | ||||
\(229\) | −20.9606 | −1.38512 | −0.692558 | − | 0.721362i | \(-0.743516\pi\) | ||||
−0.692558 | + | 0.721362i | \(0.743516\pi\) | |||||||
\(230\) | 1.39320 | + | 11.4151i | 0.0918649 | + | 0.752690i | ||||
\(231\) | −3.77491 | −0.248371 | ||||||||
\(232\) | 0.902869 | − | 0.580239i | 0.0592763 | − | 0.0380945i | ||||
\(233\) | 2.98504 | − | 20.7614i | 0.195556 | − | 1.36012i | −0.621431 | − | 0.783469i | \(-0.713448\pi\) |
0.816988 | − | 0.576655i | \(-0.195642\pi\) | |||||||
\(234\) | −0.604730 | + | 1.32417i | −0.0395325 | + | 0.0865640i | ||||
\(235\) | −6.78723 | + | 1.99291i | −0.442750 | + | 0.130003i | ||||
\(236\) | 1.81329 | + | 3.97056i | 0.118035 | + | 0.258461i | ||||
\(237\) | 6.72665 | + | 7.76297i | 0.436943 | + | 0.504259i | ||||
\(238\) | −0.521953 | − | 3.63026i | −0.0338332 | − | 0.235315i | ||||
\(239\) | −27.5160 | − | 8.07943i | −1.77986 | − | 0.522615i | −0.784615 | − | 0.619983i | \(-0.787139\pi\) |
−0.995248 | + | 0.0973681i | \(0.968958\pi\) | |||||||
\(240\) | −1.44306 | + | 1.66538i | −0.0931492 | + | 0.107500i | ||||
\(241\) | 5.04396 | + | 3.24156i | 0.324910 | + | 0.208807i | 0.692919 | − | 0.721015i | \(-0.256324\pi\) |
−0.368009 | + | 0.929822i | \(0.619961\pi\) | |||||||
\(242\) | −4.94077 | − | 3.17524i | −0.317605 | − | 0.204112i | ||||
\(243\) | 10.5791 | − | 12.2089i | 0.678648 | − | 0.783201i | ||||
\(244\) | 4.71761 | + | 1.38522i | 0.302014 | + | 0.0886793i | ||||
\(245\) | 0.341254 | + | 2.37347i | 0.0218019 | + | 0.151635i | ||||
\(246\) | −2.97794 | − | 3.43672i | −0.189866 | − | 0.219118i | ||||
\(247\) | −1.18639 | − | 2.59784i | −0.0754884 | − | 0.165296i | ||||
\(248\) | −3.54019 | + | 1.03949i | −0.224802 | + | 0.0660079i | ||||
\(249\) | −6.53465 | + | 14.3089i | −0.414116 | + | 0.906788i | ||||
\(250\) | 1.45039 | − | 10.0877i | 0.0917307 | − | 0.638001i | ||||
\(251\) | 18.1802 | − | 11.6837i | 1.14752 | − | 0.737469i | 0.178380 | − | 0.983962i | \(-0.442915\pi\) |
0.969145 | + | 0.246493i | \(0.0792782\pi\) | |||||||
\(252\) | 2.15546 | 0.135782 | ||||||||
\(253\) | −19.0160 | + | 5.14525i | −1.19552 | + | 0.323479i | ||||
\(254\) | −10.1053 | −0.634063 | ||||||||
\(255\) | 6.79898 | − | 4.36944i | 0.425769 | − | 0.273625i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −0.600210 | + | 1.31428i | −0.0374401 | + | 0.0819824i | −0.927428 | − | 0.374002i | \(-0.877985\pi\) |
0.889988 | + | 0.455984i | \(0.150713\pi\) | |||||||
\(258\) | −1.15921 | + | 0.340374i | −0.0721691 | + | 0.0211908i | ||||
\(259\) | 3.57469 | + | 7.82748i | 0.222120 | + | 0.486376i | ||||
\(260\) | −1.06051 | − | 1.22389i | −0.0657700 | − | 0.0759026i | ||||
\(261\) | −0.329222 | − | 2.28979i | −0.0203783 | − | 0.141734i | ||||
\(262\) | −3.85963 | − | 1.13329i | −0.238449 | − | 0.0700148i | ||||
\(263\) | −0.729441 | + | 0.841819i | −0.0449792 | + | 0.0519088i | −0.777793 | − | 0.628520i | \(-0.783661\pi\) |
0.732814 | + | 0.680429i | \(0.238206\pi\) | |||||||
\(264\) | −3.17565 | − | 2.04087i | −0.195448 | − | 0.125607i | ||||
\(265\) | −23.0138 | − | 14.7900i | −1.41372 | − | 0.908545i | ||||
\(266\) | −2.76921 | + | 3.19584i | −0.169791 | + | 0.195950i | ||||
\(267\) | 11.9422 | + | 3.50655i | 0.730851 | + | 0.214597i | ||||
\(268\) | −0.502437 | − | 3.49453i | −0.0306912 | − | 0.213462i | ||||
\(269\) | −9.27793 | − | 10.7073i | −0.565686 | − | 0.652836i | 0.398779 | − | 0.917047i | \(-0.369434\pi\) |
−0.964465 | + | 0.264211i | \(0.914888\pi\) | |||||||
\(270\) | 4.71939 | + | 10.3340i | 0.287213 | + | 0.628909i | ||||
\(271\) | −28.6766 | + | 8.42020i | −1.74198 | + | 0.511490i | −0.989173 | − | 0.146755i | \(-0.953117\pi\) |
−0.752804 | + | 0.658245i | \(0.771299\pi\) | |||||||
\(272\) | 1.52357 | − | 3.33616i | 0.0923802 | − | 0.202284i | ||||
\(273\) | 0.0883279 | − | 0.614334i | 0.00534585 | − | 0.0371812i | ||||
\(274\) | 6.36694 | − | 4.09178i | 0.384641 | − | 0.247194i | ||||
\(275\) | −3.08001 | −0.185732 | ||||||||
\(276\) | −4.25432 | + | 1.15111i | −0.256080 | + | 0.0692889i | ||||
\(277\) | −8.64999 | −0.519727 | −0.259864 | − | 0.965645i | \(-0.583678\pi\) | ||||
−0.259864 | + | 0.965645i | \(0.583678\pi\) | |||||||
\(278\) | 13.2714 | − | 8.52903i | 0.795967 | − | 0.511537i | ||||
\(279\) | −1.13182 | + | 7.87196i | −0.0677601 | + | 0.471282i | ||||
\(280\) | −0.996114 | + | 2.18119i | −0.0595292 | + | 0.130351i | ||||
\(281\) | 27.6375 | − | 8.11509i | 1.64871 | − | 0.484106i | 0.680191 | − | 0.733035i | \(-0.261897\pi\) |
0.968522 | + | 0.248929i | \(0.0800787\pi\) | |||||||
\(282\) | −1.12620 | − | 2.46603i | −0.0670641 | − | 0.146850i | ||||
\(283\) | 7.05901 | + | 8.14653i | 0.419615 | + | 0.484261i | 0.925719 | − | 0.378211i | \(-0.123461\pi\) |
−0.506105 | + | 0.862472i | \(0.668915\pi\) | |||||||
\(284\) | 0.777920 | + | 5.41055i | 0.0461611 | + | 0.321057i | ||||
\(285\) | −8.94098 | − | 2.62531i | −0.529618 | − | 0.155510i | ||||
\(286\) | 1.81671 | − | 2.09659i | 0.107424 | − | 0.123974i | ||||
\(287\) | −4.16279 | − | 2.67527i | −0.245722 | − | 0.157916i | ||||
\(288\) | 1.81329 | + | 1.16533i | 0.106849 | + | 0.0686679i | ||||
\(289\) | 2.32394 | − | 2.68197i | 0.136702 | − | 0.157763i | ||||
\(290\) | 2.46926 | + | 0.725040i | 0.145000 | + | 0.0425758i | ||||
\(291\) | −0.972940 | − | 6.76694i | −0.0570347 | − | 0.396685i | ||||
\(292\) | 2.92837 | + | 3.37952i | 0.171370 | + | 0.197772i | ||||
\(293\) | 13.6363 | + | 29.8594i | 0.796644 | + | 1.74441i | 0.656570 | + | 0.754265i | \(0.272007\pi\) |
0.140074 | + | 0.990141i | \(0.455266\pi\) | |||||||
\(294\) | −0.881761 | + | 0.258908i | −0.0514253 | + | 0.0150998i | ||||
\(295\) | −4.34805 | + | 9.52091i | −0.253153 | + | 0.554329i | ||||
\(296\) | −1.22463 | + | 8.51752i | −0.0711804 | + | 0.495071i | ||||
\(297\) | −16.3720 | + | 10.5216i | −0.949998 | + | 0.610527i | ||||
\(298\) | −13.4410 | −0.778617 | ||||||||
\(299\) | −0.392397 | − | 3.21508i | −0.0226929 | − | 0.185933i | ||||
\(300\) | −0.689070 | −0.0397835 | ||||||||
\(301\) | −1.10596 | + | 0.710754i | −0.0637462 | + | 0.0409672i | ||||
\(302\) | −2.30986 | + | 16.0654i | −0.132918 | + | 0.924462i | ||||
\(303\) | −6.51900 | + | 14.2746i | −0.374507 | + | 0.820056i | ||||
\(304\) | −4.05742 | + | 1.19136i | −0.232709 | + | 0.0683294i | ||||
\(305\) | 4.89767 | + | 10.7244i | 0.280440 | + | 0.614077i | ||||
\(306\) | −5.17692 | − | 5.97448i | −0.295945 | − | 0.341538i | ||||
\(307\) | −0.0650272 | − | 0.452274i | −0.00371130 | − | 0.0258126i | 0.987882 | − | 0.155209i | \(-0.0496051\pi\) |
−0.991593 | + | 0.129396i | \(0.958696\pi\) | |||||||
\(308\) | −3.94130 | − | 1.15727i | −0.224576 | − | 0.0659416i | ||||
\(309\) | −1.11641 | + | 1.28841i | −0.0635105 | + | 0.0732950i | ||||
\(310\) | −7.44284 | − | 4.78323i | −0.422725 | − | 0.271669i | ||||
\(311\) | −26.1401 | − | 16.7992i | −1.48227 | − | 0.952595i | −0.996933 | − | 0.0782659i | \(-0.975062\pi\) |
−0.485334 | − | 0.874329i | \(-0.661302\pi\) | |||||||
\(312\) | 0.406440 | − | 0.469057i | 0.0230101 | − | 0.0265551i | ||||
\(313\) | 19.1893 | + | 5.63449i | 1.08464 | + | 0.318480i | 0.774735 | − | 0.632286i | \(-0.217883\pi\) |
0.309909 | + | 0.950766i | \(0.399702\pi\) | |||||||
\(314\) | 0.734441 | + | 5.10815i | 0.0414469 | + | 0.288270i | ||||
\(315\) | 3.38467 | + | 3.90612i | 0.190705 | + | 0.220085i | ||||
\(316\) | 4.64326 | + | 10.1673i | 0.261204 | + | 0.571957i | ||||
\(317\) | −3.02502 | + | 0.888227i | −0.169902 | + | 0.0498878i | −0.365577 | − | 0.930781i | \(-0.619128\pi\) |
0.195675 | + | 0.980669i | \(0.437310\pi\) | |||||||
\(318\) | 4.35537 | − | 9.53692i | 0.244237 | − | 0.534804i | ||||
\(319\) | −0.627402 | + | 4.36367i | −0.0351277 | + | 0.244319i | ||||
\(320\) | −2.01722 | + | 1.29639i | −0.112766 | + | 0.0724704i | ||||
\(321\) | 14.5244 | 0.810674 | ||||||||
\(322\) | −4.08895 | + | 2.50609i | −0.227868 | + | 0.139659i | ||||
\(323\) | 15.5092 | 0.862954 | ||||||||
\(324\) | 1.77708 | − | 1.14206i | 0.0987269 | − | 0.0634479i | ||||
\(325\) | 0.0720682 | − | 0.501245i | 0.00399762 | − | 0.0278041i | ||||
\(326\) | −4.94640 | + | 10.8311i | −0.273956 | + | 0.599880i | ||||
\(327\) | 11.9686 | − | 3.51431i | 0.661867 | − | 0.194342i | ||||
\(328\) | −2.05561 | − | 4.50115i | −0.113502 | − | 0.248535i | ||||
\(329\) | −1.93185 | − | 2.22947i | −0.106506 | − | 0.122915i | ||||
\(330\) | −1.28820 | − | 8.95963i | −0.0709131 | − | 0.493212i | ||||
\(331\) | 1.65132 | + | 0.484872i | 0.0907649 | + | 0.0266510i | 0.326800 | − | 0.945094i | \(-0.394030\pi\) |
−0.236035 | + | 0.971745i | \(0.575848\pi\) | |||||||
\(332\) | −11.2093 | + | 12.9363i | −0.615192 | + | 0.709970i | ||||
\(333\) | 15.6036 | + | 10.0278i | 0.855071 | + | 0.549521i | ||||
\(334\) | −12.2105 | − | 7.84722i | −0.668130 | − | 0.429381i | ||||
\(335\) | 5.54380 | − | 6.39789i | 0.302890 | − | 0.349554i | ||||
\(336\) | −0.881761 | − | 0.258908i | −0.0481040 | − | 0.0141246i | ||||
\(337\) | −4.67997 | − | 32.5499i | −0.254934 | − | 1.77311i | −0.567659 | − | 0.823264i | \(-0.692151\pi\) |
0.312724 | − | 0.949844i | \(-0.398758\pi\) | |||||||
\(338\) | −8.21450 | − | 9.48003i | −0.446810 | − | 0.515646i | ||||
\(339\) | −2.34268 | − | 5.12975i | −0.127237 | − | 0.278610i | ||||
\(340\) | 8.43820 | − | 2.47768i | 0.457626 | − | 0.134371i | ||||
\(341\) | 6.29600 | − | 13.7863i | 0.340948 | − | 0.746571i | ||||
\(342\) | −1.29718 | + | 9.02205i | −0.0701432 | + | 0.487857i | ||||
\(343\) | −0.841254 | + | 0.540641i | −0.0454234 | + | 0.0291919i | ||||
\(344\) | −1.31465 | −0.0708813 | ||||||||
\(345\) | −8.76650 | − | 5.90209i | −0.471972 | − | 0.317758i | ||||
\(346\) | 11.4588 | 0.616029 | ||||||||
\(347\) | 16.4679 | − | 10.5833i | 0.884045 | − | 0.568141i | −0.0179736 | − | 0.999838i | \(-0.505721\pi\) |
0.902019 | + | 0.431697i | \(0.142085\pi\) | |||||||
\(348\) | −0.140364 | + | 0.976256i | −0.00752432 | + | 0.0523328i | ||||
\(349\) | −3.11700 | + | 6.82528i | −0.166849 | + | 0.365349i | −0.974525 | − | 0.224278i | \(-0.927998\pi\) |
0.807676 | + | 0.589627i | \(0.200725\pi\) | |||||||
\(350\) | −0.719443 | + | 0.211248i | −0.0384559 | + | 0.0112917i | ||||
\(351\) | −1.32922 | − | 2.91059i | −0.0709486 | − | 0.155356i | ||||
\(352\) | −2.68996 | − | 3.10438i | −0.143376 | − | 0.165464i | ||||
\(353\) | 0.229590 | + | 1.59683i | 0.0122198 | + | 0.0849909i | 0.995019 | − | 0.0996882i | \(-0.0317845\pi\) |
−0.982799 | + | 0.184679i | \(0.940875\pi\) | |||||||
\(354\) | −3.84890 | − | 1.13014i | −0.204567 | − | 0.0600662i | ||||
\(355\) | −8.58343 | + | 9.90580i | −0.455561 | + | 0.525745i | ||||
\(356\) | 11.3936 | + | 7.32222i | 0.603859 | + | 0.388077i | ||||
\(357\) | 2.83542 | + | 1.82221i | 0.150066 | + | 0.0964417i | ||||
\(358\) | −6.16532 | + | 7.11516i | −0.325847 | + | 0.376048i | ||||
\(359\) | 3.51990 | + | 1.03354i | 0.185773 | + | 0.0545480i | 0.373296 | − | 0.927712i | \(-0.378228\pi\) |
−0.187523 | + | 0.982260i | \(0.560046\pi\) | |||||||
\(360\) | 0.735560 | + | 5.11593i | 0.0387674 | + | 0.269633i | ||||
\(361\) | 0.732156 | + | 0.844953i | 0.0385345 | + | 0.0444712i | ||||
\(362\) | 6.66543 | + | 14.5953i | 0.350327 | + | 0.767110i | ||||
\(363\) | 5.17867 | − | 1.52059i | 0.271810 | − | 0.0798105i | ||||
\(364\) | 0.280557 | − | 0.614334i | 0.0147052 | − | 0.0321998i | ||||
\(365\) | −1.52600 | + | 10.6136i | −0.0798745 | + | 0.555539i | ||||
\(366\) | −3.80116 | + | 2.44286i | −0.198690 | + | 0.127690i | ||||
\(367\) | 15.1579 | 0.791238 | 0.395619 | − | 0.918415i | \(-0.370530\pi\) | ||||
0.395619 | + | 0.918415i | \(0.370530\pi\) | |||||||
\(368\) | −4.79474 | − | 0.102391i | −0.249943 | − | 0.00533748i | ||||
\(369\) | −10.6659 | −0.555246 | ||||||||
\(370\) | −17.3584 | + | 11.1556i | −0.902421 | + | 0.579951i | ||||
\(371\) | 1.62362 | − | 11.2925i | 0.0842940 | − | 0.586278i | ||||
\(372\) | 1.40856 | − | 3.08432i | 0.0730306 | − | 0.159915i | ||||
\(373\) | 27.4879 | − | 8.07116i | 1.42327 | − | 0.417909i | 0.522660 | − | 0.852542i | \(-0.324940\pi\) |
0.900608 | + | 0.434632i | \(0.143122\pi\) | |||||||
\(374\) | 6.25836 | + | 13.7039i | 0.323612 | + | 0.708612i | ||||
\(375\) | 6.13328 | + | 7.07818i | 0.316721 | + | 0.365516i | ||||
\(376\) | −0.419830 | − | 2.91998i | −0.0216511 | − | 0.150587i | ||||
\(377\) | −0.695470 | − | 0.204208i | −0.0358185 | − | 0.0105173i | ||||
\(378\) | −3.10260 | + | 3.58059i | −0.159580 | + | 0.184166i | ||||
\(379\) | −11.4489 | − | 7.35778i | −0.588092 | − | 0.377944i | 0.212493 | − | 0.977163i | \(-0.431842\pi\) |
−0.800585 | + | 0.599219i | \(0.795478\pi\) | |||||||
\(380\) | −8.53025 | − | 5.48206i | −0.437592 | − | 0.281224i | ||||
\(381\) | 6.08145 | − | 7.01836i | 0.311562 | − | 0.359562i | ||||
\(382\) | 11.9167 | + | 3.49907i | 0.609713 | + | 0.179028i | ||||
\(383\) | 3.49223 | + | 24.2890i | 0.178445 | + | 1.24111i | 0.860363 | + | 0.509682i | \(0.170237\pi\) |
−0.681918 | + | 0.731429i | \(0.738854\pi\) | |||||||
\(384\) | −0.601808 | − | 0.694523i | −0.0307109 | − | 0.0354422i | ||||
\(385\) | −4.09173 | − | 8.95963i | −0.208534 | − | 0.456625i | ||||
\(386\) | 3.03327 | − | 0.890647i | 0.154389 | − | 0.0453328i | ||||
\(387\) | −1.17716 | + | 2.57761i | −0.0598382 | + | 0.131027i | ||||
\(388\) | 1.05871 | − | 7.36349i | 0.0537479 | − | 0.373825i | ||||
\(389\) | 17.9965 | − | 11.5656i | 0.912457 | − | 0.586401i | 0.00199737 | − | 0.999998i | \(-0.499364\pi\) |
0.910460 | + | 0.413597i | \(0.135728\pi\) | |||||||
\(390\) | 1.48825 | 0.0753602 | ||||||||
\(391\) | 16.7670 | + | 5.31463i | 0.847945 | + | 0.268772i | ||||
\(392\) | −1.00000 | −0.0505076 | ||||||||
\(393\) | 3.10985 | − | 1.99858i | 0.156871 | − | 0.100815i | ||||
\(394\) | −2.35030 | + | 16.3467i | −0.118407 | + | 0.823536i | ||||
\(395\) | −11.1340 | + | 24.3800i | −0.560211 | + | 1.22669i | ||||
\(396\) | −8.49533 | + | 2.49445i | −0.426906 | + | 0.125351i | ||||
\(397\) | −12.8266 | − | 28.0864i | −0.643749 | − | 1.40961i | −0.896920 | − | 0.442192i | \(-0.854201\pi\) |
0.253171 | − | 0.967421i | \(-0.418526\pi\) | |||||||
\(398\) | −1.37419 | − | 1.58590i | −0.0688817 | − | 0.0794938i | ||||
\(399\) | −0.553053 | − | 3.84657i | −0.0276873 | − | 0.192569i | ||||
\(400\) | −0.719443 | − | 0.211248i | −0.0359722 | − | 0.0105624i | ||||
\(401\) | 1.60534 | − | 1.85266i | 0.0801670 | − | 0.0925176i | −0.714249 | − | 0.699892i | \(-0.753232\pi\) |
0.794416 | + | 0.607374i | \(0.207777\pi\) | |||||||
\(402\) | 2.72940 | + | 1.75408i | 0.136130 | + | 0.0874855i | ||||
\(403\) | 2.09629 | + | 1.34720i | 0.104423 | + | 0.0671089i | ||||
\(404\) | −11.1825 | + | 12.9053i | −0.556350 | + | 0.642062i | ||||
\(405\) | 4.86015 | + | 1.42707i | 0.241503 | + | 0.0709116i | ||||
\(406\) | 0.152738 | + | 1.06232i | 0.00758028 | + | 0.0527220i | ||||
\(407\) | −23.1474 | − | 26.7136i | −1.14738 | − | 1.32414i | ||||
\(408\) | 1.40014 | + | 3.06588i | 0.0693174 | + | 0.151784i | ||||
\(409\) | 7.67363 | − | 2.25318i | 0.379436 | − | 0.111413i | −0.0864521 | − | 0.996256i | \(-0.527553\pi\) |
0.465888 | + | 0.884843i | \(0.345735\pi\) | |||||||
\(410\) | 4.92909 | − | 10.7932i | 0.243431 | − | 0.533039i | ||||
\(411\) | −0.989835 | + | 6.88445i | −0.0488250 | + | 0.339585i | ||||
\(412\) | −1.56061 | + | 1.00294i | −0.0768856 | + | 0.0494114i | ||||
\(413\) | −4.36501 | −0.214788 | ||||||||
\(414\) | −4.49402 | + | 9.30926i | −0.220869 | + | 0.457525i | ||||
\(415\) | −41.0448 | −2.01481 | ||||||||
\(416\) | 0.568153 | − | 0.365130i | 0.0278560 | − | 0.0179020i | ||||
\(417\) | −2.06324 | + | 14.3501i | −0.101037 | + | 0.702730i | ||||
\(418\) | 7.21585 | − | 15.8005i | 0.352939 | − | 0.772828i | ||||
\(419\) | 32.9986 | − | 9.68926i | 1.61209 | − | 0.473351i | 0.653210 | − | 0.757177i | \(-0.273422\pi\) |
0.958876 | + | 0.283825i | \(0.0916036\pi\) | |||||||
\(420\) | −0.915415 | − | 2.00448i | −0.0446677 | − | 0.0978086i | ||||
\(421\) | −18.4149 | − | 21.2519i | −0.897487 | − | 1.03576i | −0.999162 | − | 0.0409377i | \(-0.986965\pi\) |
0.101675 | − | 0.994818i | \(-0.467580\pi\) | |||||||
\(422\) | −3.36519 | − | 23.4054i | −0.163815 | − | 1.13936i | ||||
\(423\) | −6.10108 | − | 1.79144i | −0.296644 | − | 0.0871027i | ||||
\(424\) | 7.47107 | − | 8.62207i | 0.362827 | − | 0.418725i | ||||
\(425\) | 2.31346 | + | 1.48677i | 0.112220 | + | 0.0721191i | ||||
\(426\) | −4.22591 | − | 2.71583i | −0.204746 | − | 0.131582i | ||||
\(427\) | −3.21980 | + | 3.71585i | −0.155817 | + | 0.179823i | ||||
\(428\) | 15.1646 | + | 4.45273i | 0.733009 | + | 0.215231i | ||||
\(429\) | 0.362823 | + | 2.52349i | 0.0175173 | + | 0.121835i | ||||
\(430\) | −2.06437 | − | 2.38240i | −0.0995525 | − | 0.114890i | ||||
\(431\) | 7.49930 | + | 16.4212i | 0.361229 | + | 0.790980i | 0.999771 | + | 0.0213939i | \(0.00681039\pi\) |
−0.638542 | + | 0.769587i | \(0.720462\pi\) | |||||||
\(432\) | −4.54589 | + | 1.33479i | −0.218714 | + | 0.0642202i | ||||
\(433\) | 0.0695992 | − | 0.152401i | 0.00334473 | − | 0.00732393i | −0.907952 | − | 0.419074i | \(-0.862355\pi\) |
0.911297 | + | 0.411750i | \(0.135082\pi\) | |||||||
\(434\) | 0.525092 | − | 3.65209i | 0.0252052 | − | 0.175306i | ||||
\(435\) | −1.98958 | + | 1.27862i | −0.0953929 | + | 0.0613053i | ||||
\(436\) | 13.5736 | 0.650056 | ||||||||
\(437\) | −8.02891 | − | 18.6232i | −0.384075 | − | 0.890866i | ||||
\(438\) | −4.10948 | −0.196358 | ||||||||
\(439\) | −16.0057 | + | 10.2862i | −0.763910 | + | 0.490935i | −0.863659 | − | 0.504077i | \(-0.831833\pi\) |
0.0997482 | + | 0.995013i | \(0.468196\pi\) | |||||||
\(440\) | 1.40176 | − | 9.74948i | 0.0668264 | − | 0.464788i | ||||
\(441\) | −0.895412 | + | 1.96068i | −0.0426387 | + | 0.0933657i | ||||
\(442\) | −2.37663 | + | 0.697842i | −0.113045 | + | 0.0331929i | ||||
\(443\) | −2.91621 | − | 6.38561i | −0.138553 | − | 0.303389i | 0.827618 | − | 0.561292i | \(-0.189696\pi\) |
−0.966171 | + | 0.257903i | \(0.916968\pi\) | |||||||
\(444\) | −5.17862 | − | 5.97645i | −0.245766 | − | 0.283630i | ||||
\(445\) | 4.62180 | + | 32.1453i | 0.219094 | + | 1.52383i | ||||
\(446\) | 11.6685 | + | 3.42618i | 0.552519 | + | 0.162234i | ||||
\(447\) | 8.08890 | − | 9.33509i | 0.382592 | − | 0.441535i | ||||
\(448\) | −0.841254 | − | 0.540641i | −0.0397455 | − | 0.0255429i | ||||
\(449\) | 3.45620 | + | 2.22117i | 0.163108 | + | 0.104823i | 0.619648 | − | 0.784879i | \(-0.287275\pi\) |
−0.456540 | + | 0.889703i | \(0.650912\pi\) | |||||||
\(450\) | −1.05839 | + | 1.22144i | −0.0498929 | + | 0.0575794i | ||||
\(451\) | 19.5028 | + | 5.72654i | 0.918352 | + | 0.269652i | ||||
\(452\) | −0.873317 | − | 6.07405i | −0.0410774 | − | 0.285699i | ||||
\(453\) | −9.76772 | − | 11.2726i | −0.458928 | − | 0.529631i | ||||
\(454\) | 3.59946 | + | 7.88172i | 0.168931 | + | 0.369908i | ||||
\(455\) | 1.55384 | − | 0.456250i | 0.0728453 | − | 0.0213893i | ||||
\(456\) | 1.61435 | − | 3.53494i | 0.0755990 | − | 0.165539i | ||||
\(457\) | 3.85457 | − | 26.8091i | 0.180309 | − | 1.25408i | −0.675723 | − | 0.737155i | \(-0.736169\pi\) |
0.856032 | − | 0.516922i | \(-0.172922\pi\) | |||||||
\(458\) | 17.6332 | − | 11.3322i | 0.823945 | − | 0.529517i | ||||
\(459\) | 17.3763 | 0.811057 | ||||||||
\(460\) | −7.34351 | − | 8.84978i | −0.342393 | − | 0.412623i | ||||
\(461\) | 5.49557 | 0.255954 | 0.127977 | − | 0.991777i | \(-0.459152\pi\) | ||||
0.127977 | + | 0.991777i | \(0.459152\pi\) | |||||||
\(462\) | 3.17565 | − | 2.04087i | 0.147745 | − | 0.0949498i | ||||
\(463\) | −1.35784 | + | 9.44399i | −0.0631042 | + | 0.438899i | 0.933636 | + | 0.358223i | \(0.116617\pi\) |
−0.996740 | + | 0.0806765i | \(0.974292\pi\) | |||||||
\(464\) | −0.445841 | + | 0.976256i | −0.0206977 | + | 0.0453215i | ||||
\(465\) | 7.80122 | − | 2.29065i | 0.361773 | − | 0.106226i | ||||
\(466\) | 8.71328 | + | 19.0794i | 0.403635 | + | 0.883837i | ||||
\(467\) | 23.7538 | + | 27.4133i | 1.09919 | + | 1.26854i | 0.960523 | + | 0.278200i | \(0.0897378\pi\) |
0.138672 | + | 0.990338i | \(0.455717\pi\) | |||||||
\(468\) | −0.207171 | − | 1.44091i | −0.00957650 | − | 0.0666060i | ||||
\(469\) | 3.38745 | + | 0.994646i | 0.156418 | + | 0.0459285i | ||||
\(470\) | 4.63233 | − | 5.34600i | 0.213674 | − | 0.246592i | ||||
\(471\) | −3.98972 | − | 2.56404i | −0.183837 | − | 0.118145i | ||||
\(472\) | −3.67208 | − | 2.35990i | −0.169021 | − | 0.108623i | ||||
\(473\) | 3.53636 | − | 4.08118i | 0.162602 | − | 0.187653i | ||||
\(474\) | −9.85579 | − | 2.89392i | −0.452692 | − | 0.132922i | ||||
\(475\) | −0.451245 | − | 3.13848i | −0.0207045 | − | 0.144003i | ||||
\(476\) | 2.40176 | + | 2.77178i | 0.110085 | + | 0.127044i | ||||
\(477\) | −10.2154 | − | 22.3687i | −0.467733 | − | 1.02419i | ||||
\(478\) | 27.5160 | − | 8.07943i | 1.25855 | − | 0.369545i | ||||
\(479\) | −8.74127 | + | 19.1407i | −0.399399 | + | 0.874561i | 0.597932 | + | 0.801547i | \(0.295989\pi\) |
−0.997331 | + | 0.0730145i | \(0.976738\pi\) | |||||||
\(480\) | 0.313607 | − | 2.18119i | 0.0143141 | − | 0.0995571i | ||||
\(481\) | 4.88902 | − | 3.14198i | 0.222920 | − | 0.143262i | ||||
\(482\) | −5.99577 | −0.273100 | ||||||||
\(483\) | 0.720219 | − | 4.34806i | 0.0327711 | − | 0.197843i | ||||
\(484\) | 5.87310 | 0.266959 | ||||||||
\(485\) | 15.0065 | − | 9.64412i | 0.681412 | − | 0.437917i | ||||
\(486\) | −2.29905 | + | 15.9903i | −0.104287 | + | 0.725333i | ||||
\(487\) | 1.81333 | − | 3.97065i | 0.0821700 | − | 0.179927i | −0.864087 | − | 0.503342i | \(-0.832104\pi\) |
0.946257 | + | 0.323415i | \(0.104831\pi\) | |||||||
\(488\) | −4.71761 | + | 1.38522i | −0.213556 | + | 0.0627058i | ||||
\(489\) | −4.54567 | − | 9.95364i | −0.205562 | − | 0.450119i | ||||
\(490\) | −1.57028 | − | 1.81219i | −0.0709378 | − | 0.0818666i | ||||
\(491\) | 1.57170 | + | 10.9314i | 0.0709300 | + | 0.493329i | 0.994059 | + | 0.108840i | \(0.0347135\pi\) |
−0.923129 | + | 0.384490i | \(0.874377\pi\) | |||||||
\(492\) | 4.36324 | + | 1.28116i | 0.196710 | + | 0.0577592i | ||||
\(493\) | 2.57767 | − | 2.97479i | 0.116093 | − | 0.133978i | ||||
\(494\) | 2.40255 | + | 1.54403i | 0.108096 | + | 0.0694691i | ||||
\(495\) | −17.8604 | − | 11.4782i | −0.802767 | − | 0.515907i | ||||
\(496\) | 2.41621 | − | 2.78845i | 0.108491 | − | 0.125205i | ||||
\(497\) | −5.24477 | − | 1.54000i | −0.235260 | − | 0.0690786i | ||||
\(498\) | −2.23867 | − | 15.5703i | −0.100317 | − | 0.697721i | ||||
\(499\) | 14.8251 | + | 17.1091i | 0.663665 | + | 0.765910i | 0.983371 | − | 0.181607i | \(-0.0581298\pi\) |
−0.319707 | + | 0.947517i | \(0.603584\pi\) | |||||||
\(500\) | 4.23367 | + | 9.27044i | 0.189335 | + | 0.414587i | ||||
\(501\) | 12.7985 | − | 3.75797i | 0.571793 | − | 0.167894i | ||||
\(502\) | −8.97747 | + | 19.6579i | −0.400684 | + | 0.877376i | ||||
\(503\) | 2.92029 | − | 20.3111i | 0.130209 | − | 0.905626i | −0.815070 | − | 0.579363i | \(-0.803301\pi\) |
0.945279 | − | 0.326263i | \(-0.105789\pi\) | |||||||
\(504\) | −1.81329 | + | 1.16533i | −0.0807705 | + | 0.0519080i | ||||
\(505\) | −40.9465 | −1.82210 | ||||||||
\(506\) | 13.2155 | − | 14.6093i | 0.587502 | − | 0.649462i | ||||
\(507\) | 11.5277 | 0.511961 | ||||||||
\(508\) | 8.50112 | − | 5.46334i | 0.377176 | − | 0.242396i | ||||
\(509\) | −0.0354042 | + | 0.246242i | −0.00156927 | + | 0.0109145i | −0.990591 | − | 0.136855i | \(-0.956300\pi\) |
0.989022 | + | 0.147770i | \(0.0472095\pi\) | |||||||
\(510\) | −3.35737 | + | 7.35162i | −0.148667 | + | 0.325535i | ||||
\(511\) | −4.29061 | + | 1.25984i | −0.189806 | + | 0.0557319i | ||||
\(512\) | −0.415415 | − | 0.909632i | −0.0183589 | − | 0.0402004i | ||||
\(513\) | −13.1200 | − | 15.1413i | −0.579261 | − | 0.668503i | ||||
\(514\) | −0.205623 | − | 1.43014i | −0.00906964 | − | 0.0630807i | ||||
\(515\) | −4.26811 | − | 1.25323i | −0.188075 | − | 0.0552239i | ||||
\(516\) | 0.791167 | − | 0.913056i | 0.0348292 | − | 0.0401950i | ||||
\(517\) | 10.1941 | + | 6.55134i | 0.448335 | + | 0.288128i | ||||
\(518\) | −7.23908 | − | 4.65227i | −0.318067 | − | 0.204409i | ||||
\(519\) | −6.89600 | + | 7.95840i | −0.302701 | + | 0.349335i | ||||
\(520\) | 1.55384 | + | 0.456250i | 0.0681406 | + | 0.0200079i | ||||
\(521\) | −1.16240 | − | 8.08467i | −0.0509257 | − | 0.354196i | −0.999312 | − | 0.0370794i | \(-0.988195\pi\) |
0.948387 | − | 0.317116i | \(-0.102715\pi\) | |||||||
\(522\) | 1.51491 | + | 1.74830i | 0.0663060 | + | 0.0765212i | ||||
\(523\) | 15.7967 | + | 34.5899i | 0.690741 | + | 1.51251i | 0.850848 | + | 0.525412i | \(0.176089\pi\) |
−0.160107 | + | 0.987100i | \(0.551184\pi\) | |||||||
\(524\) | 3.85963 | − | 1.13329i | 0.168609 | − | 0.0495079i | ||||
\(525\) | 0.286250 | − | 0.626800i | 0.0124930 | − | 0.0273558i | ||||
\(526\) | 0.158523 | − | 1.10255i | 0.00691191 | − | 0.0480734i | ||||
\(527\) | −11.3840 | + | 7.31602i | −0.495893 | + | 0.318691i | ||||
\(528\) | 3.77491 | 0.164282 | ||||||||
\(529\) | −2.29838 | − | 22.8849i | −0.0999295 | − | 0.994995i | ||||
\(530\) | 27.3565 | 1.18829 | ||||||||
\(531\) | −7.91505 | + | 5.08669i | −0.343484 | + | 0.220744i | ||||
\(532\) | 0.601808 | − | 4.18567i | 0.0260917 | − | 0.181472i | ||||
\(533\) | −1.38829 | + | 3.03992i | −0.0601333 | + | 0.131674i | ||||
\(534\) | −11.9422 | + | 3.50655i | −0.516790 | + | 0.151743i | ||||
\(535\) | 15.7434 | + | 34.4733i | 0.680647 | + | 1.49041i | ||||
\(536\) | 2.31196 | + | 2.66815i | 0.0998615 | + | 0.115246i | ||||
\(537\) | −1.23131 | − | 8.56392i | −0.0531348 | − | 0.369560i | ||||
\(538\) | 13.5939 | + | 3.99153i | 0.586075 | + | 0.172087i | ||||
\(539\) | 2.68996 | − | 3.10438i | 0.115865 | − | 0.133715i | ||||
\(540\) | −9.55720 | − | 6.14204i | −0.411276 | − | 0.264311i | ||||
\(541\) | 0.448568 | + | 0.288277i | 0.0192854 | + | 0.0123940i | 0.550248 | − | 0.835001i | \(-0.314533\pi\) |
−0.530963 | + | 0.847395i | \(0.678170\pi\) | |||||||
\(542\) | 19.5719 | − | 22.5872i | 0.840687 | − | 0.970205i | ||||
\(543\) | −14.1481 | − | 4.15424i | −0.607151 | − | 0.178276i | ||||
\(544\) | 0.521953 | + | 3.63026i | 0.0223786 | + | 0.155646i | ||||
\(545\) | 21.3142 | + | 24.5979i | 0.913001 | + | 1.05366i | ||||
\(546\) | 0.257828 | + | 0.564564i | 0.0110340 | + | 0.0241611i | ||||
\(547\) | 3.79053 | − | 1.11300i | 0.162071 | − | 0.0475884i | −0.199690 | − | 0.979859i | \(-0.563994\pi\) |
0.361762 | + | 0.932271i | \(0.382175\pi\) | |||||||
\(548\) | −3.14402 | + | 6.88445i | −0.134306 | + | 0.294089i | ||||
\(549\) | −1.50824 | + | 10.4901i | −0.0643702 | + | 0.447705i | ||||
\(550\) | 2.59107 | − | 1.66518i | 0.110484 | − | 0.0710035i | ||||
\(551\) | −4.53843 | −0.193344 | ||||||||
\(552\) | 2.95662 | − | 3.26844i | 0.125842 | − | 0.139114i | ||||
\(553\) | −11.1774 | −0.475312 | ||||||||
\(554\) | 7.27683 | − | 4.67653i | 0.309163 | − | 0.198687i | ||||
\(555\) | 2.69862 | − | 18.7693i | 0.114550 | − | 0.796714i | ||||
\(556\) | −6.55349 | + | 14.3501i | −0.277930 | + | 0.608582i | ||||
\(557\) | −33.7997 | + | 9.92449i | −1.43214 | + | 0.420514i | −0.903594 | − | 0.428390i | \(-0.859081\pi\) |
−0.528546 | + | 0.848905i | \(0.677263\pi\) | |||||||
\(558\) | −3.30376 | − | 7.23422i | −0.139859 | − | 0.306249i | ||||
\(559\) | 0.581431 | + | 0.671007i | 0.0245919 | + | 0.0283806i | ||||
\(560\) | −0.341254 | − | 2.37347i | −0.0144206 | − | 0.100297i | ||||
\(561\) | −13.2840 | − | 3.90054i | −0.560852 | − | 0.164681i | ||||
\(562\) | −18.8628 | + | 21.7688i | −0.795678 | + | 0.918261i | ||||
\(563\) | 25.6392 | + | 16.4773i | 1.08057 | + | 0.694437i | 0.954688 | − | 0.297609i | \(-0.0961890\pi\) |
0.125878 | + | 0.992046i | \(0.459825\pi\) | |||||||
\(564\) | 2.28065 | + | 1.46569i | 0.0960329 | + | 0.0617166i | ||||
\(565\) | 9.63601 | − | 11.1206i | 0.405390 | − | 0.467845i | ||||
\(566\) | −10.3428 | − | 3.03691i | −0.434739 | − | 0.127651i | ||||
\(567\) | 0.300629 | + | 2.09092i | 0.0126252 | + | 0.0878105i | ||||
\(568\) | −3.57959 | − | 4.13107i | −0.150196 | − | 0.173336i | ||||
\(569\) | −8.58956 | − | 18.8085i | −0.360093 | − | 0.788494i | −0.999802 | − | 0.0198772i | \(-0.993672\pi\) |
0.639709 | − | 0.768617i | \(-0.279055\pi\) | |||||||
\(570\) | 8.94098 | − | 2.62531i | 0.374497 | − | 0.109962i | ||||
\(571\) | 11.2615 | − | 24.6592i | 0.471278 | − | 1.03196i | −0.513492 | − | 0.858094i | \(-0.671648\pi\) |
0.984770 | − | 0.173861i | \(-0.0556243\pi\) | |||||||
\(572\) | −0.394808 | + | 2.74595i | −0.0165078 | + | 0.114814i | ||||
\(573\) | −9.60176 | + | 6.17068i | −0.401119 | + | 0.257784i | ||||
\(574\) | 4.94832 | 0.206539 | ||||||||
\(575\) | 0.587639 | − | 3.54765i | 0.0245062 | − | 0.147947i | ||||
\(576\) | −2.15546 | −0.0898110 | ||||||||
\(577\) | −36.4651 | + | 23.4347i | −1.51806 | + | 0.975600i | −0.525915 | + | 0.850537i | \(0.676277\pi\) |
−0.992149 | + | 0.125063i | \(0.960087\pi\) | |||||||
\(578\) | −0.505041 | + | 3.51264i | −0.0210069 | + | 0.146106i | ||||
\(579\) | −1.20687 | + | 2.64267i | −0.0501557 | + | 0.109826i | ||||
\(580\) | −2.46926 | + | 0.725040i | −0.102530 | + | 0.0301056i | ||||
\(581\) | −7.11071 | − | 15.5703i | −0.295002 | − | 0.645964i | ||||
\(582\) | 4.47697 | + | 5.16670i | 0.185577 | + | 0.214167i | ||||
\(583\) | 6.66932 | + | 46.3861i | 0.276215 | + | 1.92112i | ||||
\(584\) | −4.29061 | − | 1.25984i | −0.177547 | − | 0.0521324i | ||||
\(585\) | 2.28589 | − | 2.63806i | 0.0945100 | − | 0.109070i | ||||
\(586\) | −27.6148 | − | 17.7470i | −1.14076 | − | 0.733121i | ||||
\(587\) | 22.1344 | + | 14.2249i | 0.913582 | + | 0.587124i | 0.910789 | − | 0.412872i | \(-0.135474\pi\) |
0.00279353 | + | 0.999996i | \(0.499111\pi\) | |||||||
\(588\) | 0.601808 | − | 0.694523i | 0.0248181 | − | 0.0286417i | ||||
\(589\) | 14.9704 | + | 4.39572i | 0.616846 | + | 0.181122i | ||||
\(590\) | −1.48958 | − | 10.3602i | −0.0613249 | − | 0.426524i | ||||
\(591\) | −9.93874 | − | 11.4699i | −0.408825 | − | 0.471810i | ||||
\(592\) | −3.57469 | − | 7.82748i | −0.146919 | − | 0.321708i | ||||
\(593\) | 21.7270 | − | 6.37963i | 0.892223 | − | 0.261980i | 0.196682 | − | 0.980467i | \(-0.436983\pi\) |
0.695540 | + | 0.718487i | \(0.255165\pi\) | |||||||
\(594\) | 8.08456 | − | 17.7027i | 0.331713 | − | 0.726351i | ||||
\(595\) | −1.25158 | + | 8.70493i | −0.0513097 | + | 0.356867i | ||||
\(596\) | 11.3073 | − | 7.26676i | 0.463165 | − | 0.297658i | ||||
\(597\) | 1.92844 | 0.0789257 | ||||||||
\(598\) | 2.06831 | + | 2.49255i | 0.0845794 | + | 0.101928i | ||||
\(599\) | −36.1551 | −1.47726 | −0.738628 | − | 0.674114i | \(-0.764526\pi\) | ||||
−0.738628 | + | 0.674114i | \(0.764526\pi\) | |||||||
\(600\) | 0.579683 | − | 0.372540i | 0.0236655 | − | 0.0152089i | ||||
\(601\) | −3.70877 | + | 25.7951i | −0.151284 | + | 1.05220i | 0.762787 | + | 0.646650i | \(0.223830\pi\) |
−0.914071 | + | 0.405554i | \(0.867079\pi\) | |||||||
\(602\) | 0.546126 | − | 1.19585i | 0.0222584 | − | 0.0487392i | ||||
\(603\) | 7.30154 | − | 2.14392i | 0.297342 | − | 0.0873074i | ||||
\(604\) | −6.74245 | − | 14.7639i | −0.274346 | − | 0.600735i | ||||
\(605\) | 9.22239 | + | 10.6432i | 0.374943 | + | 0.432708i | ||||
\(606\) | −2.23331 | − | 15.5330i | −0.0907220 | − | 0.630986i | ||||
\(607\) | 17.8489 | + | 5.24092i | 0.724465 | + | 0.212722i | 0.623117 | − | 0.782129i | \(-0.285866\pi\) |
0.101349 | + | 0.994851i | \(0.467684\pi\) | |||||||
\(608\) | 2.76921 | − | 3.19584i | 0.112306 | − | 0.129609i | ||||
\(609\) | −0.829724 | − | 0.533231i | −0.0336221 | − | 0.0216076i | ||||
\(610\) | −9.91823 | − | 6.37406i | −0.401577 | − | 0.258078i | ||||
\(611\) | −1.30470 | + | 1.50571i | −0.0527826 | + | 0.0609144i | ||||
\(612\) | 7.58515 | + | 2.22720i | 0.306611 | + | 0.0900292i | ||||
\(613\) | −5.51733 | − | 38.3739i | −0.222843 | − | 1.54991i | −0.727208 | − | 0.686417i | \(-0.759183\pi\) |
0.504365 | − | 0.863490i | \(-0.331727\pi\) | |||||||
\(614\) | 0.299222 | + | 0.345321i | 0.0120756 | + | 0.0139360i | ||||
\(615\) | 4.52977 | + | 9.91881i | 0.182658 | + | 0.399965i | ||||
\(616\) | 3.94130 | − | 1.15727i | 0.158799 | − | 0.0466277i | ||||
\(617\) | −10.8681 | + | 23.7979i | −0.437534 | + | 0.958065i | 0.554511 | + | 0.832177i | \(0.312906\pi\) |
−0.992044 | + | 0.125889i | \(0.959822\pi\) | |||||||
\(618\) | 0.242620 | − | 1.68746i | 0.00975959 | − | 0.0678794i | ||||
\(619\) | 14.7943 | − | 9.50772i | 0.594633 | − | 0.382148i | −0.208434 | − | 0.978037i | \(-0.566836\pi\) |
0.803067 | + | 0.595889i | \(0.203200\pi\) | |||||||
\(620\) | 8.84733 | 0.355317 | ||||||||
\(621\) | −8.99551 | − | 20.8652i | −0.360977 | − | 0.837291i | ||||
\(622\) | 31.0727 | 1.24590 | ||||||||
\(623\) | −11.3936 | + | 7.32222i | −0.456475 | + | 0.293359i | ||||
\(624\) | −0.0883279 | + | 0.614334i | −0.00353594 | + | 0.0245930i | ||||
\(625\) | −11.7092 | + | 25.6397i | −0.468370 | + | 1.02559i | ||||
\(626\) | −19.1893 | + | 5.63449i | −0.766959 | + | 0.225199i | ||||
\(627\) | 6.63126 | + | 14.5204i | 0.264827 | + | 0.579890i | ||||
\(628\) | −3.37953 | − | 3.90018i | −0.134858 | − | 0.155634i | ||||
\(629\) | 4.49146 | + | 31.2388i | 0.179086 | + | 1.24557i | ||||
\(630\) | −4.95918 | − | 1.45615i | −0.197578 | − | 0.0580142i | ||||
\(631\) | −0.719679 | + | 0.830553i | −0.0286500 | + | 0.0330638i | −0.769894 | − | 0.638172i | \(-0.779691\pi\) |
0.741244 | + | 0.671236i | \(0.234236\pi\) | |||||||
\(632\) | −9.40303 | − | 6.04296i | −0.374032 | − | 0.240376i | ||||
\(633\) | 18.2808 | + | 11.7484i | 0.726597 | + | 0.466956i | ||||
\(634\) | 2.06460 | − | 2.38267i | 0.0819957 | − | 0.0946281i | ||||
\(635\) | 23.2497 | + | 6.82674i | 0.922637 | + | 0.270911i | ||||
\(636\) | 1.49208 | + | 10.3777i | 0.0591649 | + | 0.411501i | ||||
\(637\) | 0.442270 | + | 0.510407i | 0.0175234 | + | 0.0202231i | ||||
\(638\) | −1.83138 | − | 4.01015i | −0.0725049 | − | 0.158764i | ||||
\(639\) | −11.3049 | + | 3.31942i | −0.447216 | + | 0.131314i | ||||
\(640\) | 0.996114 | − | 2.18119i | 0.0393749 | − | 0.0862189i | ||||
\(641\) | 1.70824 | − | 11.8811i | 0.0674714 | − | 0.469274i | −0.927873 | − | 0.372896i | \(-0.878365\pi\) |
0.995345 | − | 0.0963786i | \(-0.0307260\pi\) | |||||||
\(642\) | −12.2187 | + | 7.85249i | −0.482234 | + | 0.309913i | ||||
\(643\) | 13.9886 | 0.551656 | 0.275828 | − | 0.961207i | \(-0.411048\pi\) | ||||
0.275828 | + | 0.961207i | \(0.411048\pi\) | |||||||
\(644\) | 2.08494 | − | 4.31891i | 0.0821583 | − | 0.170189i | ||||
\(645\) | 2.89699 | 0.114069 | ||||||||
\(646\) | −13.0472 | + | 8.38490i | −0.513333 | + | 0.329899i | ||||
\(647\) | 2.01007 | − | 13.9804i | 0.0790241 | − | 0.549625i | −0.911395 | − | 0.411532i | \(-0.864994\pi\) |
0.990419 | − | 0.138093i | \(-0.0440971\pi\) | |||||||
\(648\) | −0.877532 | + | 1.92153i | −0.0344727 | + | 0.0754847i | ||||
\(649\) | 17.2038 | − | 5.05150i | 0.675309 | − | 0.198289i | ||||
\(650\) | 0.210366 | + | 0.460637i | 0.00825123 | + | 0.0180677i | ||||
\(651\) | 2.22046 | + | 2.56255i | 0.0870267 | + | 0.100434i | ||||
\(652\) | −1.69456 | − | 11.7859i | −0.0663641 | − | 0.461573i | ||||
\(653\) | −2.79318 | − | 0.820151i | −0.109306 | − | 0.0320950i | 0.226622 | − | 0.973983i | \(-0.427232\pi\) |
−0.335928 | + | 0.941888i | \(0.609050\pi\) | |||||||
\(654\) | −8.16867 | + | 9.42715i | −0.319420 | + | 0.368631i | ||||
\(655\) | 8.11442 | + | 5.21482i | 0.317057 | + | 0.203760i | ||||
\(656\) | 4.16279 | + | 2.67527i | 0.162530 | + | 0.104452i | ||||
\(657\) | −6.31201 | + | 7.28444i | −0.246255 | + | 0.284193i | ||||
\(658\) | 2.83052 | + | 0.831114i | 0.110345 | + | 0.0324002i | ||||
\(659\) | 3.60422 | + | 25.0679i | 0.140401 | + | 0.976508i | 0.931220 | + | 0.364458i | \(0.118746\pi\) |
−0.790819 | + | 0.612050i | \(0.790345\pi\) | |||||||
\(660\) | 5.92765 | + | 6.84087i | 0.230733 | + | 0.266280i | ||||
\(661\) | −8.38900 | − | 18.3693i | −0.326294 | − | 0.714485i | 0.673398 | − | 0.739280i | \(-0.264834\pi\) |
−0.999693 | + | 0.0247950i | \(0.992107\pi\) | |||||||
\(662\) | −1.65132 | + | 0.484872i | −0.0641805 | + | 0.0188451i | ||||
\(663\) | 0.945608 | − | 2.07059i | 0.0367244 | − | 0.0804151i | ||||
\(664\) | 2.43602 | − | 16.9429i | 0.0945360 | − | 0.657512i | ||||
\(665\) | 8.53025 | − | 5.48206i | 0.330789 | − | 0.212585i | ||||
\(666\) | −18.5480 | −0.718721 | ||||||||
\(667\) | −4.90651 | − | 1.55521i | −0.189981 | − | 0.0602180i | ||||
\(668\) | 14.5147 | 0.561589 | ||||||||
\(669\) | −9.40176 | + | 6.04214i | −0.363493 | + | 0.233603i | ||||
\(670\) | −1.20478 | + | 8.37945i | −0.0465448 | + | 0.323726i | ||||
\(671\) | 8.38996 | − | 18.3715i | 0.323891 | − | 0.709222i | ||||
\(672\) | 0.881761 | − | 0.258908i | 0.0340147 | − | 0.00998760i | ||||
\(673\) | −18.3813 | − | 40.2494i | −0.708546 | − | 1.55150i | −0.829292 | − | 0.558816i | \(-0.811256\pi\) |
0.120746 | − | 0.992683i | \(-0.461471\pi\) | |||||||
\(674\) | 21.5349 | + | 24.8526i | 0.829492 | + | 0.957285i | ||||
\(675\) | −0.505570 | − | 3.51632i | −0.0194594 | − | 0.135343i | ||||
\(676\) | 12.0358 | + | 3.53402i | 0.462914 | + | 0.135924i | ||||
\(677\) | −9.81771 | + | 11.3302i | −0.377325 | + | 0.435457i | −0.912370 | − | 0.409367i | \(-0.865749\pi\) |
0.535044 | + | 0.844824i | \(0.320295\pi\) | |||||||
\(678\) | 4.74414 | + | 3.04887i | 0.182198 | + | 0.117091i | ||||
\(679\) | 6.25826 | + | 4.02194i | 0.240170 | + | 0.154348i | ||||
\(680\) | −5.75913 | + | 6.64639i | −0.220853 | + | 0.254878i | ||||
\(681\) | −7.64022 | − | 2.24337i | −0.292774 | − | 0.0859662i | ||||
\(682\) | 2.15691 | + | 15.0017i | 0.0825925 | + | 0.574443i | ||||
\(683\) | −17.5745 | − | 20.2820i | −0.672469 | − | 0.776071i | 0.312291 | − | 0.949986i | \(-0.398903\pi\) |
−0.984761 | + | 0.173916i | \(0.944358\pi\) | |||||||
\(684\) | −3.78644 | − | 8.29114i | −0.144778 | − | 0.317020i | ||||
\(685\) | −17.4130 | + | 5.11291i | −0.665315 | + | 0.195354i | ||||
\(686\) | 0.415415 | − | 0.909632i | 0.0158606 | − | 0.0347299i | ||||
\(687\) | −2.74134 | + | 19.0664i | −0.104589 | + | 0.727430i | ||||
\(688\) | 1.10596 | − | 0.710754i | 0.0421641 | − | 0.0270972i | ||||
\(689\) | −7.70499 | −0.293537 | ||||||||
\(690\) | 10.5658 | + | 0.225629i | 0.402232 | + | 0.00858957i | ||||
\(691\) | −21.7685 | −0.828113 | −0.414056 | − | 0.910251i | \(-0.635888\pi\) | ||||
−0.414056 | + | 0.910251i | \(0.635888\pi\) | |||||||
\(692\) | −9.63976 | + | 6.19510i | −0.366449 | + | 0.235502i | ||||
\(693\) | 1.26005 | − | 8.76386i | 0.0478654 | − | 0.332911i | ||||
\(694\) | −8.13194 | + | 17.8065i | −0.308684 | + | 0.675925i | ||||
\(695\) | −36.2961 | + | 10.6575i | −1.37679 | + | 0.404261i | ||||
\(696\) | −0.409722 | − | 0.897165i | −0.0155305 | − | 0.0340070i | ||||
\(697\) | −11.8847 | − | 13.7157i | −0.450165 | − | 0.519518i | ||||
\(698\) | −1.06784 | − | 7.42697i | −0.0404182 | − | 0.281115i | ||||
\(699\) | −18.4948 | − | 5.43057i | −0.699539 | − | 0.205403i | ||||
\(700\) | 0.491025 | − | 0.566673i | 0.0185590 | − | 0.0214182i | ||||
\(701\) | 32.3169 | + | 20.7688i | 1.22059 | + | 0.784428i | 0.982400 | − | 0.186790i | \(-0.0598084\pi\) |
0.238193 | + | 0.971218i | \(0.423445\pi\) | |||||||
\(702\) | 2.69180 | + | 1.72991i | 0.101595 | + | 0.0652914i | ||||
\(703\) | 23.8294 | − | 27.5006i | 0.898742 | − | 1.03720i | ||||
\(704\) | 3.94130 | + | 1.15727i | 0.148543 | + | 0.0436162i | ||||
\(705\) | 0.925145 | + | 6.43452i | 0.0348430 | + | 0.242338i | ||||
\(706\) | −1.05646 | − | 1.21922i | −0.0397603 | − | 0.0458858i | ||||
\(707\) | −7.09369 | − | 15.5330i | −0.266786 | − | 0.584179i | ||||
\(708\) | 3.84890 | − | 1.13014i | 0.144650 | − | 0.0424732i | ||||
\(709\) | −3.72238 | + | 8.15087i | −0.139797 | + | 0.306113i | −0.966561 | − | 0.256436i | \(-0.917452\pi\) |
0.826764 | + | 0.562548i | \(0.190179\pi\) | |||||||
\(710\) | 1.86536 | − | 12.9738i | 0.0700056 | − | 0.486900i | ||||
\(711\) | −20.2679 | + | 13.0254i | −0.760106 | + | 0.488490i | ||||
\(712\) | −13.5436 | −0.507568 | ||||||||
\(713\) | 14.6783 | + | 9.88224i | 0.549706 | + | 0.370093i | ||||
\(714\) | −3.37047 | −0.126137 | ||||||||
\(715\) | −5.59616 | + | 3.59643i | −0.209284 | + | 0.134499i | ||||
\(716\) | 1.33985 | − | 9.31888i | 0.0500726 | − | 0.348263i | ||||
\(717\) | −10.9480 | + | 23.9728i | −0.408861 | + | 0.895280i | ||||
\(718\) | −3.51990 | + | 1.03354i | −0.131362 | + | 0.0385713i | ||||
\(719\) | −21.0969 | − | 46.1958i | −0.786783 | − | 1.72281i | −0.685639 | − | 0.727942i | \(-0.740477\pi\) |
−0.101144 | − | 0.994872i | \(-0.532250\pi\) | |||||||
\(720\) | −3.38467 | − | 3.90612i | −0.126139 | − | 0.145573i | ||||
\(721\) | −0.264008 | − | 1.83622i | −0.00983217 | − | 0.0683842i | ||||
\(722\) | −1.07275 | − | 0.314986i | −0.0399234 | − | 0.0117226i | ||||
\(723\) | 3.60830 | − | 4.16420i | 0.134194 | − | 0.154868i | ||||
\(724\) | −13.4981 | − | 8.67471i | −0.501653 | − | 0.322393i | ||||
\(725\) | −0.676986 | − | 0.435072i | −0.0251426 | − | 0.0161582i | ||||
\(726\) | −3.53448 | + | 4.07901i | −0.131177 | + | 0.151386i | ||||
\(727\) | −20.7806 | − | 6.10174i | −0.770710 | − | 0.226301i | −0.127343 | − | 0.991859i | \(-0.540645\pi\) |
−0.643367 | + | 0.765558i | \(0.722463\pi\) | |||||||
\(728\) | 0.0961145 | + | 0.668491i | 0.00356224 | + | 0.0247759i | ||||
\(729\) | −5.57199 | − | 6.43042i | −0.206370 | − | 0.238164i | ||||
\(730\) | −4.45437 | − | 9.75372i | −0.164864 | − | 0.361001i | ||||
\(731\) | −4.62630 | + | 1.35840i | −0.171110 | + | 0.0502424i | ||||
\(732\) | 1.87703 | − | 4.11012i | 0.0693770 | − | 0.151915i | ||||
\(733\) | −0.545340 | + | 3.79292i | −0.0201426 | + | 0.140095i | −0.997411 | − | 0.0719106i | \(-0.977090\pi\) |
0.977268 | + | 0.212005i | \(0.0679995\pi\) | |||||||
\(734\) | −12.7517 | + | 8.19500i | −0.470673 | + | 0.302483i | ||||
\(735\) | 2.20362 | 0.0812816 | ||||||||
\(736\) | 4.08895 | − | 2.50609i | 0.150721 | − | 0.0923759i | ||||
\(737\) | −14.5020 | −0.534189 | ||||||||
\(738\) | 8.97276 | − | 5.76644i | 0.330292 | − | 0.212266i | ||||
\(739\) | −4.64568 | + | 32.3114i | −0.170894 | + | 1.18859i | 0.706107 | + | 0.708105i | \(0.250450\pi\) |
−0.877001 | + | 0.480488i | \(0.840459\pi\) | |||||||
\(740\) | 8.57167 | − | 18.7693i | 0.315101 | − | 0.689975i | ||||
\(741\) | −2.51824 | + | 0.739422i | −0.0925098 | + | 0.0271633i | ||||
\(742\) | 4.73932 | + | 10.3777i | 0.173986 | + | 0.380976i | ||||
\(743\) | 1.56805 | + | 1.80962i | 0.0575260 | + | 0.0663886i | 0.783783 | − | 0.621034i | \(-0.213287\pi\) |
−0.726257 | + | 0.687423i | \(0.758742\pi\) | |||||||
\(744\) | 0.482552 | + | 3.35622i | 0.0176912 | + | 0.123045i | ||||
\(745\) | 30.9244 | + | 9.08021i | 1.13298 | + | 0.332673i | ||||
\(746\) | −18.7607 | + | 21.6510i | −0.686877 | + | 0.792698i | ||||
\(747\) | −31.0384 | − | 19.9471i | −1.13563 | − | 0.729828i | ||||
\(748\) | −12.6738 | − | 8.14493i | −0.463399 | − | 0.297808i | ||||
\(749\) | −10.3500 | + | 11.9445i | −0.378179 | + | 0.436442i | ||||
\(750\) | −8.98639 | − | 2.63864i | −0.328137 | − | 0.0963496i | ||||
\(751\) | −0.712854 | − | 4.95801i | −0.0260124 | − | 0.180920i | 0.972673 | − | 0.232179i | \(-0.0745856\pi\) |
−0.998685 | + | 0.0512591i | \(0.983677\pi\) | |||||||
\(752\) | 1.93185 | + | 2.22947i | 0.0704472 | + | 0.0813004i | ||||
\(753\) | −8.25017 | − | 18.0654i | −0.300653 | − | 0.658338i | ||||
\(754\) | 0.695470 | − | 0.204208i | 0.0253275 | − | 0.00743683i | ||||
\(755\) | 16.1676 | − | 35.4020i | 0.588398 | − | 1.28841i | ||||
\(756\) | 0.674259 | − | 4.68958i | 0.0245226 | − | 0.170558i | ||||
\(757\) | 23.2587 | − | 14.9475i | 0.845352 | − | 0.543275i | −0.0447696 | − | 0.998997i | \(-0.514255\pi\) |
0.890122 | + | 0.455722i | \(0.150619\pi\) | |||||||
\(758\) | 13.6094 | 0.494315 | ||||||||
\(759\) | 2.19327 | + | 17.9705i | 0.0796108 | + | 0.652287i | ||||
\(760\) | 10.1399 | 0.367814 | ||||||||
\(761\) | −19.8203 | + | 12.7377i | −0.718486 | + | 0.461743i | −0.848110 | − | 0.529820i | \(-0.822259\pi\) |
0.129624 | + | 0.991563i | \(0.458623\pi\) | |||||||
\(762\) | −1.32162 | + | 9.19210i | −0.0478774 | + | 0.332995i | ||||
\(763\) | −5.63866 | + | 12.3469i | −0.204133 | + | 0.446989i | ||||
\(764\) | −11.9167 | + | 3.49907i | −0.431132 | + | 0.126592i | ||||
\(765\) | 7.87465 | + | 17.2431i | 0.284709 | + | 0.623425i | ||||
\(766\) | −16.0695 | − | 18.5452i | −0.580614 | − | 0.670065i | ||||
\(767\) | 0.419541 | + | 2.91797i | 0.0151488 | + | 0.105362i | ||||
\(768\) | 0.881761 | + | 0.258908i | 0.0318178 | + | 0.00934255i | ||||
\(769\) | −3.77584 | + | 4.35755i | −0.136160 | + | 0.157137i | −0.819735 | − | 0.572744i | \(-0.805879\pi\) |
0.683574 | + | 0.729881i | \(0.260424\pi\) | |||||||
\(770\) | 8.28612 | + | 5.32517i | 0.298611 | + | 0.191906i | ||||
\(771\) | 1.11701 | + | 0.717859i | 0.0402281 | + | 0.0258531i | ||||
\(772\) | −2.07023 | + | 2.38917i | −0.0745091 | + | 0.0859880i | ||||
\(773\) | −32.9279 | − | 9.66849i | −1.18433 | − | 0.347751i | −0.370490 | − | 0.928836i | \(-0.620810\pi\) |
−0.813843 | + | 0.581085i | \(0.802628\pi\) | |||||||
\(774\) | −0.403275 | − | 2.80484i | −0.0144954 | − | 0.100818i | ||||
\(775\) | 1.81171 | + | 2.09082i | 0.0650785 | + | 0.0751046i | ||||
\(776\) | 3.09036 | + | 6.76694i | 0.110937 | + | 0.242919i | ||||
\(777\) | 7.58765 | − | 2.22793i | 0.272205 | − | 0.0799267i | ||||
\(778\) | −8.88674 | + | 19.4593i | −0.318605 | + | 0.697648i | ||||
\(779\) | −2.97794 | + | 20.7120i | −0.106696 | + | 0.742085i | ||||
\(780\) | −1.25199 | + | 0.804606i | −0.0448285 | + | 0.0288095i | ||||
\(781\) | 22.4534 | 0.803446 | ||||||||
\(782\) | −16.9786 | + | 4.59399i | −0.607155 | + | 0.164281i | ||||
\(783\) | −5.08481 | −0.181716 | ||||||||
\(784\) | 0.841254 | − | 0.540641i | 0.0300448 | − | 0.0193086i | ||||
\(785\) | 1.76110 | − | 12.2487i | 0.0628564 | − | 0.437176i | ||||
\(786\) | −1.53566 | + | 3.36262i | −0.0547751 | + | 0.119941i | ||||
\(787\) | −30.8626 | + | 9.06207i | −1.10013 | + | 0.323028i | −0.780905 | − | 0.624650i | \(-0.785242\pi\) |
−0.319227 | + | 0.947678i | \(0.603423\pi\) | |||||||
\(788\) | −6.86050 | − | 15.0224i | −0.244395 | − | 0.535151i | ||||
\(789\) | 0.670346 | + | 0.773620i | 0.0238649 | + | 0.0275416i | ||||
\(790\) | −3.81433 | − | 26.5292i | −0.135708 | − | 0.943868i | ||||
\(791\) | 5.88794 | + | 1.72885i | 0.209351 | + | 0.0614710i | ||||
\(792\) | 5.79812 | − | 6.69139i | 0.206027 | − | 0.237768i | ||||
\(793\) | 2.79348 | + | 1.79526i | 0.0991994 | + | 0.0637516i | ||||
\(794\) | 25.9751 | + | 16.6932i | 0.921820 | + | 0.592418i | ||||
\(795\) | −16.4634 | + | 18.9997i | −0.583895 | + | 0.673851i | ||||
\(796\) | 2.01344 | + | 0.591199i | 0.0713645 | + | 0.0209545i | ||||
\(797\) | 6.87192 | + | 47.7952i | 0.243416 | + | 1.69299i | 0.634727 | + | 0.772736i | \(0.281112\pi\) |
−0.391311 | + | 0.920258i | \(0.627978\pi\) | |||||||
\(798\) | 2.54487 | + | 2.93694i | 0.0900874 | + | 0.103966i | ||||
\(799\) | −4.49456 | − | 9.84171i | −0.159006 | − | 0.348175i | ||||
\(800\) | 0.719443 | − | 0.211248i | 0.0254362 | − | 0.00746873i | ||||
\(801\) | −12.1271 | + | 26.5546i | −0.428490 | + | 0.938262i | ||||
\(802\) | −0.348874 | + | 2.42647i | −0.0123192 | + | 0.0856818i | ||||
\(803\) | 15.4526 | − | 9.93079i | 0.545311 | − | 0.350450i | ||||
\(804\) | −3.24445 | −0.114423 | ||||||||
\(805\) | 11.1006 | − | 3.00356i | 0.391246 | − | 0.105862i | ||||
\(806\) | −2.49186 | −0.0877720 | ||||||||
\(807\) | −10.9531 | + | 7.03915i | −0.385568 | + | 0.247790i | ||||
\(808\) | 2.43019 | − | 16.9023i | 0.0854938 | − | 0.594622i | ||||
\(809\) | −2.01537 | + | 4.41305i | −0.0708568 | + | 0.155155i | −0.941746 | − | 0.336324i | \(-0.890816\pi\) |
0.870890 | + | 0.491479i | \(0.163543\pi\) | |||||||
\(810\) | −4.86015 | + | 1.42707i | −0.170768 | + | 0.0501421i | ||||
\(811\) | −8.41550 | − | 18.4274i | −0.295508 | − | 0.647073i | 0.702396 | − | 0.711787i | \(-0.252114\pi\) |
−0.997904 | + | 0.0647139i | \(0.979387\pi\) | |||||||
\(812\) | −0.702824 | − | 0.811103i | −0.0246643 | − | 0.0284641i | ||||
\(813\) | 3.90881 | + | 27.1863i | 0.137088 | + | 0.953467i | ||||
\(814\) | 33.9153 | + | 9.95843i | 1.18873 | + | 0.349043i | ||||
\(815\) | 18.6975 | − | 21.5780i | 0.654944 | − | 0.755846i | ||||
\(816\) | −2.83542 | − | 1.82221i | −0.0992595 | − | 0.0637902i | ||||
\(817\) | 4.67676 | + | 3.00557i | 0.163619 | + | 0.105152i | ||||
\(818\) | −5.23730 | + | 6.04417i | −0.183118 | + | 0.211329i | ||||
\(819\) | 1.39676 | + | 0.410125i | 0.0488067 | + | 0.0143309i | ||||
\(820\) | 1.68863 | + | 11.7447i | 0.0589696 | + | 0.410143i | ||||
\(821\) | −33.4002 | − | 38.5459i | −1.16567 | − | 1.34526i | −0.927404 | − | 0.374061i | \(-0.877965\pi\) |
−0.238270 | − | 0.971199i | \(-0.576580\pi\) | |||||||
\(822\) | −2.88931 | − | 6.32672i | −0.100776 | − | 0.220670i | ||||
\(823\) | −16.8308 | + | 4.94197i | −0.586686 | + | 0.172266i | −0.561586 | − | 0.827419i | \(-0.689809\pi\) |
−0.0250998 | + | 0.999685i | \(0.507990\pi\) | |||||||
\(824\) | 0.770635 | − | 1.68746i | 0.0268464 | − | 0.0587853i | ||||
\(825\) | −0.402820 | + | 2.80168i | −0.0140244 | + | 0.0975418i | ||||
\(826\) | 3.67208 | − | 2.35990i | 0.127768 | − | 0.0821116i | ||||
\(827\) | 11.7022 | 0.406927 | 0.203463 | − | 0.979083i | \(-0.434780\pi\) | ||||
0.203463 | + | 0.979083i | \(0.434780\pi\) | |||||||
\(828\) | −1.25236 | − | 10.2611i | −0.0435224 | − | 0.356598i | ||||
\(829\) | −46.0517 | −1.59944 | −0.799720 | − | 0.600373i | \(-0.795019\pi\) | ||||
−0.799720 | + | 0.600373i | \(0.795019\pi\) | |||||||
\(830\) | 34.5291 | − | 22.1905i | 1.19852 | − | 0.770243i | ||||
\(831\) | −1.13129 | + | 7.86830i | −0.0392441 | + | 0.272948i | ||||
\(832\) | −0.280557 | + | 0.614334i | −0.00972656 | + | 0.0212982i | ||||
\(833\) | −3.51903 | + | 1.03328i | −0.121927 | + | 0.0358010i | ||||
\(834\) | −6.02257 | − | 13.1876i | −0.208544 | − | 0.456649i | ||||
\(835\) | 22.7920 | + | 26.3034i | 0.788751 | + | 0.910267i | ||||
\(836\) | 2.47204 | + | 17.1934i | 0.0854973 | + | 0.594646i | ||||
\(837\) | 16.7727 | + | 4.92492i | 0.579750 | + | 0.170230i | ||||
\(838\) | −22.5218 | + | 25.9915i | −0.778001 | + | 0.897862i | ||||
\(839\) | 3.59474 | + | 2.31020i | 0.124104 | + | 0.0797570i | 0.601220 | − | 0.799083i | \(-0.294681\pi\) |
−0.477116 | + | 0.878840i | \(0.658318\pi\) | |||||||
\(840\) | 1.85380 | + | 1.19136i | 0.0639622 | + | 0.0411060i | ||||
\(841\) | 18.2367 | − | 21.0462i | 0.628850 | − | 0.725732i | ||||
\(842\) | 26.9813 | + | 7.92241i | 0.929835 | + | 0.273024i | ||||
\(843\) | −3.76717 | − | 26.2013i | −0.129748 | − | 0.902419i | ||||
\(844\) | 15.4849 | + | 17.8705i | 0.533013 | + | 0.615129i | ||||
\(845\) | 12.4951 | + | 27.3605i | 0.429846 | + | 0.941231i | ||||
\(846\) | 6.10108 | − | 1.79144i | 0.209759 | − | 0.0615909i | ||||
\(847\) | −2.43978 | + | 5.34236i | −0.0838317 | + | 0.183566i | ||||
\(848\) | −1.62362 | + | 11.2925i | −0.0557553 | + | 0.387786i | ||||
\(849\) | 8.33356 | − | 5.35566i | 0.286007 | − | 0.183806i | ||||
\(850\) | −2.75002 | −0.0943249 | ||||||||
\(851\) | 35.1858 | − | 21.5652i | 1.20615 | − | 0.739246i | ||||
\(852\) | 5.02335 | 0.172097 | ||||||||
\(853\) | −26.1624 | + | 16.8136i | −0.895785 | + | 0.575686i | −0.905537 | − | 0.424266i | \(-0.860532\pi\) |
0.00975236 | + | 0.999952i | \(0.496896\pi\) | |||||||
\(854\) | 0.699730 | − | 4.86673i | 0.0239443 | − | 0.166536i | ||||
\(855\) | 9.07941 | − | 19.8811i | 0.310509 | − | 0.679921i | ||||
\(856\) | −15.1646 | + | 4.45273i | −0.518316 | + | 0.152191i | ||||
\(857\) | 0.0896135 | + | 0.196226i | 0.00306114 | + | 0.00670296i | 0.911156 | − | 0.412061i | \(-0.135191\pi\) |
−0.908095 | + | 0.418764i | \(0.862464\pi\) | |||||||
\(858\) | −1.66953 | − | 1.92674i | −0.0569968 | − | 0.0657778i | ||||
\(859\) | −2.69856 | − | 18.7689i | −0.0920736 | − | 0.640386i | −0.982639 | − | 0.185530i | \(-0.940600\pi\) |
0.890565 | − | 0.454856i | \(-0.150309\pi\) | |||||||
\(860\) | 3.02468 | + | 0.888126i | 0.103141 | + | 0.0302848i | ||||
\(861\) | −2.97794 | + | 3.43672i | −0.101488 | + | 0.117123i | ||||
\(862\) | −15.1868 | − | 9.75995i | −0.517264 | − | 0.332425i | ||||
\(863\) | 28.5483 | + | 18.3469i | 0.971797 | + | 0.624536i | 0.927239 | − | 0.374471i | \(-0.122176\pi\) |
0.0445583 | + | 0.999007i | \(0.485812\pi\) | |||||||
\(864\) | 3.10260 | − | 3.58059i | 0.105553 | − | 0.121814i | ||||
\(865\) | −26.3638 | − | 7.74111i | −0.896396 | − | 0.263206i | ||||
\(866\) | 0.0238436 | + | 0.165836i | 0.000810240 | + | 0.00563534i | ||||
\(867\) | −2.13567 | − | 2.46469i | −0.0725311 | − | 0.0837054i | ||||
\(868\) | 1.53274 | + | 3.35622i | 0.0520244 | + | 0.113918i | ||||
\(869\) | 44.0535 | − | 12.9353i | 1.49441 | − | 0.438799i | ||||
\(870\) | 0.982462 | − | 2.15129i | 0.0333086 | − | 0.0729356i | ||||
\(871\) | 0.339329 | − | 2.36008i | 0.0114977 | − | 0.0799683i | ||||
\(872\) | −11.4188 | + | 7.33842i | −0.386690 | + | 0.248510i | ||||
\(873\) | 16.0350 | 0.542701 | ||||||||
\(874\) | 16.8228 | + | 11.3260i | 0.569039 | + | 0.383109i | ||||
\(875\) | −10.1914 | −0.344533 | ||||||||
\(876\) | 3.45711 | − | 2.22175i | 0.116805 | − | 0.0750660i | ||||
\(877\) | 5.57559 | − | 38.7791i | 0.188274 | − | 1.30948i | −0.648200 | − | 0.761471i | \(-0.724478\pi\) |
0.836474 | − | 0.548007i | \(-0.184613\pi\) | |||||||
\(878\) | 7.90369 | − | 17.3067i | 0.266737 | − | 0.584072i | ||||
\(879\) | 28.9445 | − | 8.49888i | 0.976275 | − | 0.286660i | ||||
\(880\) | 4.09173 | + | 8.95963i | 0.137932 | + | 0.302029i | ||||
\(881\) | −18.1606 | − | 20.9585i | −0.611847 | − | 0.706109i | 0.362291 | − | 0.932065i | \(-0.381995\pi\) |
−0.974137 | + | 0.225957i | \(0.927449\pi\) | |||||||
\(882\) | −0.306755 | − | 2.13353i | −0.0103290 | − | 0.0718395i | ||||
\(883\) | −18.4602 | − | 5.42039i | −0.621234 | − | 0.182411i | −0.0440557 | − | 0.999029i | \(-0.514028\pi\) |
−0.577178 | + | 0.816618i | \(0.695846\pi\) | |||||||
\(884\) | 1.62207 | − | 1.87197i | 0.0545560 | − | 0.0629610i | ||||
\(885\) | 8.09186 | + | 5.20032i | 0.272005 | + | 0.174807i | ||||
\(886\) | 5.90559 | + | 3.79529i | 0.198402 | + | 0.127505i | ||||
\(887\) | 3.66478 | − | 4.22938i | 0.123051 | − | 0.142009i | −0.690881 | − | 0.722968i | \(-0.742777\pi\) |
0.813932 | + | 0.580960i | \(0.197323\pi\) | |||||||
\(888\) | 7.58765 | + | 2.22793i | 0.254625 | + | 0.0747646i | ||||
\(889\) | 1.43813 | + | 10.0024i | 0.0482335 | + | 0.335471i | ||||
\(890\) | −21.2672 | − | 24.5436i | −0.712877 | − | 0.822704i | ||||
\(891\) | −3.60463 | − | 7.89304i | −0.120760 | − | 0.264427i | ||||
\(892\) | −11.6685 | + | 3.42618i | −0.390690 | + | 0.114717i | ||||
\(893\) | −5.18219 | + | 11.3474i | −0.173415 | + | 0.379727i | ||||
\(894\) | −1.75789 | + | 12.2264i | −0.0587925 | + | 0.408911i | ||||
\(895\) | 18.9916 | − | 12.2051i | 0.634818 | − | 0.407973i | ||||
\(896\) | 1.00000 | 0.0334077 | ||||||||
\(897\) | −2.97586 | − | 0.0635488i | −0.0993611 | − | 0.00212183i | ||||
\(898\) | −4.10839 | −0.137099 | ||||||||
\(899\) | 3.33127 | − | 2.14088i | 0.111104 | − | 0.0714023i | ||||
\(900\) | 0.230010 | − | 1.59975i | 0.00766698 | − | 0.0533250i | ||||
\(901\) | 17.3819 | − | 38.0610i | 0.579075 | − | 1.26800i | ||||
\(902\) | −19.5028 | + | 5.72654i | −0.649373 | + | 0.190673i | ||||
\(903\) | 0.501882 | + | 1.09897i | 0.0167016 | + | 0.0365714i | ||||
\(904\) | 4.01856 | + | 4.63767i | 0.133655 | + | 0.154246i | ||||
\(905\) | −5.47549 | − | 38.0829i | −0.182012 | − | 1.26592i | ||||
\(906\) | 14.3115 | + | 4.20225i | 0.475469 | + | 0.139610i | ||||
\(907\) | 3.30168 | − | 3.81034i | 0.109630 | − | 0.126520i | −0.698282 | − | 0.715823i | \(-0.746052\pi\) |
0.807912 | + | 0.589302i | \(0.200597\pi\) | |||||||
\(908\) | −7.28924 | − | 4.68451i | −0.241902 | − | 0.155461i | ||||
\(909\) | −30.9641 | − | 19.8994i | −1.02701 | − | 0.660021i | ||||
\(910\) | −1.06051 | + | 1.22389i | −0.0351556 | + | 0.0405717i | ||||
\(911\) | 52.9931 | + | 15.5602i | 1.75574 | + | 0.515531i | 0.991580 | − | 0.129497i | \(-0.0413362\pi\) |
0.764159 | + | 0.645028i | \(0.223154\pi\) | |||||||
\(912\) | 0.553053 | + | 3.84657i | 0.0183134 | + | 0.127373i | ||||
\(913\) | 46.0445 | + | 53.1381i | 1.52385 | + | 1.75862i | ||||
\(914\) | 11.2514 | + | 24.6372i | 0.372164 | + | 0.814926i | ||||
\(915\) | 10.3958 | − | 3.05248i | 0.343675 | − | 0.100912i | ||||
\(916\) | −8.70735 | + | 19.0664i | −0.287699 | + | 0.629973i | ||||
\(917\) | −0.572471 | + | 3.98162i | −0.0189047 | + | 0.131485i | ||||
\(918\) | −14.6179 | + | 9.39435i | −0.482462 | + | 0.310060i | ||||
\(919\) | 29.0339 | 0.957741 | 0.478871 | − | 0.877885i | \(-0.341046\pi\) | ||||
0.478871 | + | 0.877885i | \(0.341046\pi\) | |||||||
\(920\) | 10.9623 | + | 3.47471i | 0.361417 | + | 0.114558i | ||||
\(921\) | −0.419907 | −0.0138364 | ||||||||
\(922\) | −4.62317 | + | 2.97113i | −0.152256 | + | 0.0978490i | ||||
\(923\) | −0.525380 | + | 3.65410i | −0.0172931 | + | 0.120276i | ||||
\(924\) | −1.56815 | + | 3.43378i | −0.0515885 | + | 0.112963i | ||||
\(925\) | 6.19089 | − | 1.81781i | 0.203555 | − | 0.0597692i | ||||
\(926\) | −3.96352 | − | 8.67889i | −0.130249 | − | 0.285206i | ||||
\(927\) | −2.61852 | − | 3.02194i | −0.0860036 | − | 0.0992535i | ||||
\(928\) | −0.152738 | − | 1.06232i | −0.00501388 | − | 0.0348723i | ||||
\(929\) | 52.6616 | + | 15.4628i | 1.72777 | + | 0.507320i | 0.986483 | − | 0.163866i | \(-0.0523966\pi\) |
0.741289 | + | 0.671186i | \(0.234215\pi\) | |||||||
\(930\) | −5.32439 | + | 6.14467i | −0.174594 | + | 0.201492i | ||||
\(931\) | 3.55742 | + | 2.28621i | 0.116590 | + | 0.0749276i | ||||
\(932\) | −17.6452 | − | 11.3399i | −0.577988 | − | 0.371450i | ||||
\(933\) | −18.6998 | + | 21.5807i | −0.612205 | + | 0.706522i | ||||
\(934\) | −34.8037 | − | 10.2193i | −1.13881 | − | 0.334386i | ||||
\(935\) | −5.14110 | − | 35.7571i | −0.168132 | − | 1.16938i | ||||
\(936\) | 0.953298 | + | 1.10016i | 0.0311595 | + | 0.0359600i | ||||
\(937\) | −20.8002 | − | 45.5461i | −0.679514 | − | 1.48793i | −0.863158 | − | 0.504934i | \(-0.831517\pi\) |
0.183644 | − | 0.982993i | \(-0.441211\pi\) | |||||||
\(938\) | −3.38745 | + | 0.994646i | −0.110604 | + | 0.0324763i | ||||
\(939\) | 7.63499 | − | 16.7183i | 0.249158 | − | 0.545581i | ||||
\(940\) | −1.00670 | + | 7.00176i | −0.0328350 | + | 0.228372i | ||||
\(941\) | 12.8400 | − | 8.25176i | 0.418572 | − | 0.269000i | −0.314357 | − | 0.949305i | \(-0.601789\pi\) |
0.732929 | + | 0.680305i | \(0.238153\pi\) | |||||||
\(942\) | 4.74259 | 0.154522 | ||||||||
\(943\) | −10.3170 | + | 21.3714i | −0.335967 | + | 0.695948i | ||||
\(944\) | 4.36501 | 0.142069 | ||||||||
\(945\) | 9.55720 | − | 6.14204i | 0.310896 | − | 0.199801i | ||||
\(946\) | −0.768525 | + | 5.34521i | −0.0249869 | + | 0.173788i | ||||
\(947\) | 9.45577 | − | 20.7052i | 0.307271 | − | 0.672830i | −0.691501 | − | 0.722376i | \(-0.743050\pi\) |
0.998772 | + | 0.0495459i | \(0.0157774\pi\) | |||||||
\(948\) | 9.85579 | − | 2.89392i | 0.320101 | − | 0.0939902i | ||||
\(949\) | 1.25458 | + | 2.74715i | 0.0407254 | + | 0.0891762i | ||||
\(950\) | 2.07640 | + | 2.39629i | 0.0673674 | + | 0.0777461i | ||||
\(951\) | 0.412331 | + | 2.86782i | 0.0133707 | + | 0.0929956i | ||||
\(952\) | −3.51903 | − | 1.03328i | −0.114052 | − | 0.0334888i | ||||
\(953\) | 5.54017 | − | 6.39370i | 0.179464 | − | 0.207112i | −0.658889 | − | 0.752240i | \(-0.728973\pi\) |
0.838353 | + | 0.545128i | \(0.183519\pi\) | |||||||
\(954\) | 20.6872 | + | 13.2948i | 0.669773 | + | 0.430437i | ||||
\(955\) | −25.0535 | − | 16.1009i | −0.810713 | − | 0.521014i | ||||
\(956\) | −18.7799 | + | 21.6731i | −0.607385 | + | 0.700959i | ||||
\(957\) | 3.88728 | + | 1.14141i | 0.125658 | + | 0.0368965i | ||||
\(958\) | −2.99462 | − | 20.8281i | −0.0967519 | − | 0.672924i | ||||
\(959\) | −4.95624 | − | 5.71981i | −0.160045 | − | 0.184702i | ||||
\(960\) | 0.915415 | + | 2.00448i | 0.0295449 | + | 0.0646943i | ||||
\(961\) | 16.6822 | − | 4.89834i | 0.538136 | − | 0.158011i | ||||
\(962\) | −2.41422 | + | 5.28641i | −0.0778376 | + | 0.170441i | ||||
\(963\) | −4.84820 | + | 33.7200i | −0.156231 | + | 1.08661i | ||||
\(964\) | 5.04396 | − | 3.24156i | 0.162455 | − | 0.104404i | ||||
\(965\) | −7.58046 | −0.244024 | ||||||||
\(966\) | 1.74485 | + | 4.04720i | 0.0561396 | + | 0.130216i | ||||
\(967\) | 54.4382 | 1.75061 | 0.875307 | − | 0.483567i | \(-0.160659\pi\) | ||||
0.875307 | + | 0.483567i | \(0.160659\pi\) | |||||||
\(968\) | −4.94077 | + | 3.17524i | −0.158802 | + | 0.102056i | ||||
\(969\) | 2.02837 | − | 14.1076i | 0.0651607 | − | 0.453203i | ||||
\(970\) | −7.41030 | + | 16.2263i | −0.237930 | + | 0.520995i | ||||
\(971\) | 42.0836 | − | 12.3568i | 1.35053 | − | 0.396550i | 0.475112 | − | 0.879925i | \(-0.342407\pi\) |
0.875413 | + | 0.483375i | \(0.160589\pi\) | |||||||
\(972\) | −6.71090 | − | 14.6948i | −0.215252 | − | 0.471337i | ||||
\(973\) | −10.3309 | − | 11.9225i | −0.331195 | − | 0.382219i | ||||
\(974\) | 0.621220 | + | 4.32068i | 0.0199052 | + | 0.138444i | ||||
\(975\) | −0.446523 | − | 0.131111i | −0.0143002 | − | 0.00419891i | ||||
\(976\) | 3.21980 | − | 3.71585i | 0.103063 | − | 0.118941i | ||||
\(977\) | 42.1923 | + | 27.1153i | 1.34985 | + | 0.867497i | 0.997656 | − | 0.0684299i | \(-0.0217990\pi\) |
0.352195 | + | 0.935927i | \(0.385435\pi\) | |||||||
\(978\) | 9.20540 | + | 5.91595i | 0.294356 | + | 0.189171i | ||||
\(979\) | 36.4318 | − | 42.0445i | 1.16436 | − | 1.34375i | ||||
\(980\) | 2.30075 | + | 0.675560i | 0.0734947 | + | 0.0215800i | ||||
\(981\) | 4.16375 | + | 28.9595i | 0.132938 | + | 0.924607i | ||||
\(982\) | −7.23219 | − | 8.34639i | −0.230788 | − | 0.266344i | ||||
\(983\) | −8.50752 | − | 18.6289i | −0.271348 | − | 0.594169i | 0.724077 | − | 0.689719i | \(-0.242266\pi\) |
−0.995425 | + | 0.0955507i | \(0.969539\pi\) | |||||||
\(984\) | −4.36324 | + | 1.28116i | −0.139095 | + | 0.0408419i | ||||
\(985\) | 16.4506 | − | 36.0219i | 0.524161 | − | 1.14775i | ||||
\(986\) | −0.560182 | + | 3.89615i | −0.0178398 | + | 0.124079i | ||||
\(987\) | −2.28065 | + | 1.46569i | −0.0725940 | + | 0.0466533i | ||||
\(988\) | −2.85592 | −0.0908590 | ||||||||
\(989\) | 4.02613 | + | 4.85195i | 0.128023 | + | 0.154283i | ||||
\(990\) | 21.2308 | 0.674758 | ||||||||
\(991\) | −23.7375 | + | 15.2552i | −0.754047 | + | 0.484596i | −0.860329 | − | 0.509740i | \(-0.829742\pi\) |
0.106282 | + | 0.994336i | \(0.466105\pi\) | |||||||
\(992\) | −0.525092 | + | 3.65209i | −0.0166717 | + | 0.115954i | ||||
\(993\) | 0.657024 | − | 1.43868i | 0.0208500 | − | 0.0456552i | ||||
\(994\) | 5.24477 | − | 1.54000i | 0.166354 | − | 0.0488460i | ||||
\(995\) | 2.09029 | + | 4.57709i | 0.0662665 | + | 0.145104i | ||||
\(996\) | 10.3012 | + | 11.8882i | 0.326407 | + | 0.376693i | ||||
\(997\) | −6.43643 | − | 44.7664i | −0.203844 | − | 1.41777i | −0.792742 | − | 0.609558i | \(-0.791347\pi\) |
0.588898 | − | 0.808208i | \(-0.299562\pi\) | |||||||
\(998\) | −21.7216 | − | 6.37804i | −0.687585 | − | 0.201893i | ||||
\(999\) | 26.6982 | − | 30.8114i | 0.844694 | − | 0.974828i |
(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 | 322.2.i.a.127.1 | yes | 10 | |
23.2 | even | 11 | inner | 322.2.i.a.71.1 | ✓ | 10 | |
23.5 | odd | 22 | 7406.2.a.bh.1.1 | 5 | |||
23.18 | even | 11 | 7406.2.a.bg.1.1 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.i.a.71.1 | ✓ | 10 | 23.2 | even | 11 | inner | |
322.2.i.a.127.1 | yes | 10 | 1.1 | even | 1 | trivial | |
7406.2.a.bg.1.1 | 5 | 23.18 | even | 11 | |||
7406.2.a.bh.1.1 | 5 | 23.5 | odd | 22 |