Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(11,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.g (of order \(58\), degree \(28\), 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: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Character | \(\chi\) | \(=\) | 354.11 |
Dual form | 354.2.g.b.161.5 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{25}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.976621 | + | 0.214970i | −0.690575 | + | 0.152007i | ||||
\(3\) | −0.836909 | + | 1.51644i | −0.483190 | + | 0.875516i | ||||
\(4\) | 0.907575 | − | 0.419889i | 0.453788 | − | 0.209945i | ||||
\(5\) | 0.897171 | + | 0.249098i | 0.401227 | + | 0.111400i | 0.462279 | − | 0.886734i | \(-0.347032\pi\) |
−0.0610521 | + | 0.998135i | \(0.519446\pi\) | |||||||
\(6\) | 0.491353 | − | 1.66089i | 0.200594 | − | 0.678058i | ||||
\(7\) | 3.72971 | − | 3.53297i | 1.40970 | − | 1.33534i | 0.540075 | − | 0.841617i | \(-0.318396\pi\) |
0.869621 | − | 0.493719i | \(-0.164363\pi\) | |||||||
\(8\) | −0.796093 | + | 0.605174i | −0.281461 | + | 0.213961i | ||||
\(9\) | −1.59917 | − | 2.53824i | −0.533055 | − | 0.846080i | ||||
\(10\) | −0.929745 | − | 0.0504093i | −0.294011 | − | 0.0159408i | ||||
\(11\) | −3.55310 | − | 4.18303i | −1.07130 | − | 1.26123i | −0.963686 | − | 0.267039i | \(-0.913955\pi\) |
−0.107614 | − | 0.994193i | \(-0.534321\pi\) | |||||||
\(12\) | −0.122822 | + | 1.72769i | −0.0354558 | + | 0.498741i | ||||
\(13\) | −0.168430 | − | 0.499882i | −0.0467140 | − | 0.138642i | 0.921757 | − | 0.387767i | \(-0.126754\pi\) |
−0.968471 | + | 0.249125i | \(0.919857\pi\) | |||||||
\(14\) | −2.88303 | + | 4.25214i | −0.770521 | + | 1.13643i | ||||
\(15\) | −1.12859 | + | 1.15203i | −0.291401 | + | 0.297453i | ||||
\(16\) | 0.647386 | − | 0.762162i | 0.161847 | − | 0.190541i | ||||
\(17\) | 1.92107 | − | 2.02805i | 0.465928 | − | 0.491874i | −0.450106 | − | 0.892975i | \(-0.648614\pi\) |
0.916034 | + | 0.401101i | \(0.131372\pi\) | |||||||
\(18\) | 2.10743 | + | 2.13512i | 0.496725 | + | 0.503254i | ||||
\(19\) | −0.0813515 | − | 0.204177i | −0.0186633 | − | 0.0468414i | 0.919350 | − | 0.393441i | \(-0.128716\pi\) |
−0.938013 | + | 0.346600i | \(0.887336\pi\) | |||||||
\(20\) | 0.918844 | − | 0.150637i | 0.205460 | − | 0.0336834i | ||||
\(21\) | 2.23610 | + | 8.61264i | 0.487956 | + | 1.87943i | ||||
\(22\) | 4.36926 | + | 3.32142i | 0.931529 | + | 0.708130i | ||||
\(23\) | 5.48409 | − | 0.596431i | 1.14351 | − | 0.124364i | 0.483308 | − | 0.875451i | \(-0.339435\pi\) |
0.660204 | + | 0.751086i | \(0.270470\pi\) | |||||||
\(24\) | −0.251451 | − | 1.71370i | −0.0513273 | − | 0.349808i | ||||
\(25\) | −3.54142 | − | 2.13080i | −0.708284 | − | 0.426160i | ||||
\(26\) | 0.271952 | + | 0.451987i | 0.0533341 | + | 0.0886420i | ||||
\(27\) | 5.18744 | − | 0.300760i | 0.998323 | − | 0.0578812i | ||||
\(28\) | 1.90154 | − | 4.77250i | 0.359357 | − | 0.901917i | ||||
\(29\) | 0.478219 | − | 2.17257i | 0.0888031 | − | 0.403437i | −0.911160 | − | 0.412053i | \(-0.864812\pi\) |
0.999963 | + | 0.00861662i | \(0.00274279\pi\) | |||||||
\(30\) | 0.854554 | − | 1.36771i | 0.156020 | − | 0.249709i | ||||
\(31\) | 7.77774 | + | 3.09894i | 1.39692 | + | 0.556585i | 0.942502 | − | 0.334201i | \(-0.108467\pi\) |
0.454422 | + | 0.890787i | \(0.349846\pi\) | |||||||
\(32\) | −0.468408 | + | 0.883512i | −0.0828037 | + | 0.156184i | ||||
\(33\) | 9.31693 | − | 1.88724i | 1.62187 | − | 0.328526i | ||||
\(34\) | −1.44019 | + | 2.39361i | −0.246990 | + | 0.410500i | ||||
\(35\) | 4.22624 | − | 2.24061i | 0.714365 | − | 0.378732i | ||||
\(36\) | −2.51714 | − | 1.63217i | −0.419524 | − | 0.272029i | ||||
\(37\) | −3.57057 | + | 4.69701i | −0.586999 | + | 0.772183i | −0.989701 | − | 0.143147i | \(-0.954278\pi\) |
0.402703 | + | 0.915331i | \(0.368071\pi\) | |||||||
\(38\) | 0.123341 | + | 0.181915i | 0.0200086 | + | 0.0295105i | ||||
\(39\) | 0.899000 | + | 0.162942i | 0.143955 | + | 0.0260917i | ||||
\(40\) | −0.864980 | + | 0.344639i | −0.136765 | + | 0.0544923i | ||||
\(41\) | −1.17158 | + | 10.7725i | −0.182969 | + | 1.68238i | 0.438338 | + | 0.898810i | \(0.355567\pi\) |
−0.621308 | + | 0.783567i | \(0.713398\pi\) | |||||||
\(42\) | −4.03528 | − | 7.93059i | −0.622657 | − | 1.22372i | ||||
\(43\) | −6.17192 | − | 5.24248i | −0.941209 | − | 0.799470i | 0.0386311 | − | 0.999254i | \(-0.487700\pi\) |
−0.979840 | + | 0.199783i | \(0.935976\pi\) | |||||||
\(44\) | −4.98112 | − | 2.30451i | −0.750931 | − | 0.347418i | ||||
\(45\) | −0.802454 | − | 2.67559i | −0.119623 | − | 0.398853i | ||||
\(46\) | −5.22766 | + | 1.76140i | −0.770776 | + | 0.259705i | ||||
\(47\) | 1.50594 | + | 5.42390i | 0.219664 | + | 0.791157i | 0.988437 | + | 0.151635i | \(0.0484539\pi\) |
−0.768773 | + | 0.639522i | \(0.779132\pi\) | |||||||
\(48\) | 0.613968 | + | 1.61958i | 0.0886186 | + | 0.233766i | ||||
\(49\) | 1.04989 | − | 19.3641i | 0.149985 | − | 2.76630i | ||||
\(50\) | 3.91668 | + | 1.31968i | 0.553903 | + | 0.186632i | ||||
\(51\) | 1.46765 | + | 4.61047i | 0.205512 | + | 0.645595i | ||||
\(52\) | −0.362758 | − | 0.382959i | −0.0503054 | − | 0.0531068i | ||||
\(53\) | −5.07242 | + | 0.275018i | −0.696750 | + | 0.0377767i | −0.399112 | − | 0.916902i | \(-0.630682\pi\) |
−0.297638 | + | 0.954679i | \(0.596199\pi\) | |||||||
\(54\) | −5.00151 | + | 1.40887i | −0.680619 | + | 0.191724i | ||||
\(55\) | −2.14575 | − | 4.63797i | −0.289333 | − | 0.625383i | ||||
\(56\) | −0.831134 | + | 5.06969i | −0.111065 | + | 0.677466i | ||||
\(57\) | 0.377705 | + | 0.0475130i | 0.0500283 | + | 0.00629325i | ||||
\(58\) | 2.22458i | 0.292102i | ||||||||
\(59\) | 7.03230 | + | 3.08979i | 0.915527 | + | 0.402257i | ||||
\(60\) | −0.540558 | + | 1.51944i | −0.0697857 | + | 0.196159i | ||||
\(61\) | 1.90549 | + | 8.65674i | 0.243973 | + | 1.10838i | 0.926138 | + | 0.377184i | \(0.123108\pi\) |
−0.682165 | + | 0.731198i | \(0.738961\pi\) | |||||||
\(62\) | −8.26208 | − | 1.35450i | −1.04929 | − | 0.172022i | ||||
\(63\) | −14.9319 | − | 3.81709i | −1.88125 | − | 0.480909i | ||||
\(64\) | 0.267528 | − | 0.963550i | 0.0334410 | − | 0.120444i | ||||
\(65\) | −0.0265906 | − | 0.490435i | −0.00329816 | − | 0.0608310i | ||||
\(66\) | −8.69340 | + | 3.84598i | −1.07008 | + | 0.473407i | ||||
\(67\) | −2.77530 | − | 3.65084i | −0.339057 | − | 0.446021i | 0.594691 | − | 0.803955i | \(-0.297275\pi\) |
−0.933747 | + | 0.357933i | \(0.883481\pi\) | |||||||
\(68\) | 0.891960 | − | 2.64724i | 0.108166 | − | 0.321025i | ||||
\(69\) | −3.68523 | + | 8.81544i | −0.443650 | + | 1.06125i | ||||
\(70\) | −3.64577 | + | 3.09674i | −0.435753 | + | 0.370132i | ||||
\(71\) | 15.5179 | − | 4.30852i | 1.84164 | − | 0.511328i | 0.842031 | − | 0.539429i | \(-0.181360\pi\) |
0.999605 | + | 0.0281012i | \(0.00894607\pi\) | |||||||
\(72\) | 2.80916 | + | 1.05290i | 0.331063 | + | 0.124086i | ||||
\(73\) | 0.536636 | + | 0.363848i | 0.0628085 | + | 0.0425852i | 0.592187 | − | 0.805800i | \(-0.298265\pi\) |
−0.529379 | + | 0.848386i | \(0.677575\pi\) | |||||||
\(74\) | 2.47738 | − | 5.35476i | 0.287989 | − | 0.622479i | ||||
\(75\) | 6.19507 | − | 3.58706i | 0.715346 | − | 0.414197i | ||||
\(76\) | −0.159564 | − | 0.151147i | −0.0183033 | − | 0.0173378i | ||||
\(77\) | −28.0305 | − | 3.04850i | −3.19438 | − | 0.347409i | ||||
\(78\) | −0.913010 | + | 0.0341256i | −0.103378 | + | 0.00386396i | ||||
\(79\) | 0.328230 | + | 2.00211i | 0.0369287 | + | 0.225255i | 0.998843 | − | 0.0480973i | \(-0.0153158\pi\) |
−0.961914 | + | 0.273352i | \(0.911867\pi\) | |||||||
\(80\) | 0.770670 | − | 0.522527i | 0.0861635 | − | 0.0584203i | ||||
\(81\) | −3.88533 | + | 8.11814i | −0.431704 | + | 0.902015i | ||||
\(82\) | −1.17158 | − | 10.7725i | −0.129379 | − | 1.18962i | ||||
\(83\) | −4.90148 | − | 9.24517i | −0.538007 | − | 1.01479i | −0.992291 | − | 0.123932i | \(-0.960450\pi\) |
0.454284 | − | 0.890857i | \(-0.349895\pi\) | |||||||
\(84\) | 5.64578 | + | 6.87771i | 0.616005 | + | 0.750419i | ||||
\(85\) | 2.22871 | − | 1.34097i | 0.241738 | − | 0.145449i | ||||
\(86\) | 7.15460 | + | 3.79313i | 0.771501 | + | 0.409024i | ||||
\(87\) | 2.89435 | + | 2.54344i | 0.310306 | + | 0.272685i | ||||
\(88\) | 5.36006 | + | 1.17984i | 0.571384 | + | 0.125771i | ||||
\(89\) | −6.74877 | − | 1.48552i | −0.715368 | − | 0.157464i | −0.157650 | − | 0.987495i | \(-0.550392\pi\) |
−0.557718 | + | 0.830030i | \(0.688323\pi\) | |||||||
\(90\) | 1.35887 | + | 2.44053i | 0.143237 | + | 0.257254i | ||||
\(91\) | −2.39426 | − | 1.26936i | −0.250987 | − | 0.133065i | ||||
\(92\) | 4.72679 | − | 2.84402i | 0.492802 | − | 0.296509i | ||||
\(93\) | −11.2086 | + | 9.20093i | −1.16228 | + | 0.954092i | ||||
\(94\) | −2.63671 | − | 4.97336i | −0.271956 | − | 0.512963i | ||||
\(95\) | −0.0221261 | − | 0.203446i | −0.00227009 | − | 0.0208731i | ||||
\(96\) | −0.947776 | − | 1.44973i | −0.0967320 | − | 0.147963i | ||||
\(97\) | −5.54761 | + | 3.76137i | −0.563274 | + | 0.381910i | −0.809337 | − | 0.587344i | \(-0.800173\pi\) |
0.246063 | + | 0.969254i | \(0.420863\pi\) | |||||||
\(98\) | 3.13737 | + | 19.1371i | 0.316922 | + | 1.93314i | ||||
\(99\) | −4.93555 | + | 15.7080i | −0.496041 | + | 1.57871i | ||||
\(100\) | −4.10881 | − | 0.446860i | −0.410881 | − | 0.0446860i | ||||
\(101\) | 0.376646 | + | 0.356778i | 0.0374776 | + | 0.0355007i | 0.706209 | − | 0.708003i | \(-0.250404\pi\) |
−0.668732 | + | 0.743504i | \(0.733162\pi\) | |||||||
\(102\) | −2.42445 | − | 4.18718i | −0.240056 | − | 0.414593i | ||||
\(103\) | −0.548135 | + | 1.18477i | −0.0540094 | + | 0.116739i | −0.932701 | − | 0.360650i | \(-0.882555\pi\) |
0.878692 | + | 0.477389i | \(0.158417\pi\) | |||||||
\(104\) | 0.436601 | + | 0.296023i | 0.0428123 | + | 0.0290275i | ||||
\(105\) | −0.139232 | + | 8.28402i | −0.0135877 | + | 0.808438i | ||||
\(106\) | 4.89471 | − | 1.35901i | 0.475416 | − | 0.131999i | ||||
\(107\) | 3.29238 | − | 2.79658i | 0.318287 | − | 0.270355i | −0.473973 | − | 0.880540i | \(-0.657180\pi\) |
0.792259 | + | 0.610184i | \(0.208905\pi\) | |||||||
\(108\) | 4.58171 | − | 2.45111i | 0.440875 | − | 0.235858i | ||||
\(109\) | −1.73452 | + | 5.14787i | −0.166137 | + | 0.493076i | −0.998090 | − | 0.0617686i | \(-0.980326\pi\) |
0.831954 | + | 0.554845i | \(0.187222\pi\) | |||||||
\(110\) | 3.09261 | + | 4.06826i | 0.294869 | + | 0.387893i | ||||
\(111\) | −4.13448 | − | 9.34552i | −0.392427 | − | 0.887038i | ||||
\(112\) | −0.278132 | − | 5.12984i | −0.0262810 | − | 0.484724i | ||||
\(113\) | 0.470760 | − | 1.69552i | 0.0442853 | − | 0.159501i | −0.938101 | − | 0.346361i | \(-0.887417\pi\) |
0.982387 | + | 0.186860i | \(0.0598310\pi\) | |||||||
\(114\) | −0.379089 | + | 0.0347933i | −0.0355049 | + | 0.00325869i | ||||
\(115\) | 5.06874 | + | 0.830977i | 0.472662 | + | 0.0774890i | ||||
\(116\) | −0.478219 | − | 2.17257i | −0.0444016 | − | 0.201718i | ||||
\(117\) | −0.999473 | + | 1.22691i | −0.0924013 | + | 0.113428i | ||||
\(118\) | −7.53210 | − | 1.50582i | −0.693386 | − | 0.138622i | ||||
\(119\) | − | 14.3511i | − | 1.31556i | ||||||
\(120\) | 0.201285 | − | 1.60012i | 0.0183747 | − | 0.146070i | ||||
\(121\) | −3.09364 | + | 18.8704i | −0.281240 | + | 1.71549i | ||||
\(122\) | −3.72189 | − | 8.04473i | −0.336964 | − | 0.728335i | ||||
\(123\) | −15.3553 | − | 10.7922i | −1.38454 | − | 0.973100i | ||||
\(124\) | 8.36010 | − | 0.453271i | 0.750759 | − | 0.0407050i | ||||
\(125\) | −5.84810 | − | 6.17376i | −0.523070 | − | 0.552198i | ||||
\(126\) | 15.4034 | + | 0.517926i | 1.37224 | + | 0.0461405i | ||||
\(127\) | −4.10741 | − | 1.38395i | −0.364474 | − | 0.122806i | 0.131105 | − | 0.991368i | \(-0.458147\pi\) |
−0.495579 | + | 0.868563i | \(0.665044\pi\) | |||||||
\(128\) | −0.0541389 | + | 0.998533i | −0.00478525 | + | 0.0882587i | ||||
\(129\) | 13.1152 | − | 4.97186i | 1.15473 | − | 0.437748i | ||||
\(130\) | 0.131398 | + | 0.473253i | 0.0115244 | + | 0.0415070i | ||||
\(131\) | −1.73888 | + | 0.585897i | −0.151927 | + | 0.0511901i | −0.394237 | − | 0.919009i | \(-0.628991\pi\) |
0.242311 | + | 0.970199i | \(0.422095\pi\) | |||||||
\(132\) | 7.66339 | − | 5.62489i | 0.667012 | − | 0.489584i | ||||
\(133\) | −1.02477 | − | 0.474108i | −0.0888586 | − | 0.0411103i | ||||
\(134\) | 3.49524 | + | 2.96888i | 0.301942 | + | 0.256472i | ||||
\(135\) | 4.72894 | + | 1.02235i | 0.407002 | + | 0.0879899i | ||||
\(136\) | −0.302027 | + | 2.77710i | −0.0258986 | + | 0.238134i | ||||
\(137\) | 18.7413 | − | 7.46721i | 1.60118 | − | 0.637967i | 0.612834 | − | 0.790212i | \(-0.290030\pi\) |
0.988343 | + | 0.152245i | \(0.0486502\pi\) | |||||||
\(138\) | 1.70402 | − | 9.40155i | 0.145056 | − | 0.800313i | ||||
\(139\) | 4.61777 | + | 6.81070i | 0.391674 | + | 0.577676i | 0.971493 | − | 0.237069i | \(-0.0761869\pi\) |
−0.579819 | + | 0.814746i | \(0.696877\pi\) | |||||||
\(140\) | 2.89482 | − | 3.80808i | 0.244657 | − | 0.321841i | ||||
\(141\) | −9.48534 | − | 2.25565i | −0.798810 | − | 0.189960i | ||||
\(142\) | −14.2289 | + | 7.54368i | −1.19406 | + | 0.633052i | ||||
\(143\) | −1.49257 | + | 2.48068i | −0.124815 | + | 0.207445i | ||||
\(144\) | −2.96983 | − | 0.424398i | −0.247486 | − | 0.0353665i | ||||
\(145\) | 0.970229 | − | 1.83005i | 0.0805731 | − | 0.151977i | ||||
\(146\) | −0.602307 | − | 0.239981i | −0.0498472 | − | 0.0198610i | ||||
\(147\) | 28.4858 | + | 17.7981i | 2.34947 | + | 1.46796i | ||||
\(148\) | −1.26834 | + | 5.76213i | −0.104257 | + | 0.473644i | ||||
\(149\) | −5.57871 | + | 14.0015i | −0.457026 | + | 1.14705i | 0.502286 | + | 0.864701i | \(0.332492\pi\) |
−0.959312 | + | 0.282347i | \(0.908887\pi\) | |||||||
\(150\) | −5.27913 | + | 4.83495i | −0.431039 | + | 0.394772i | ||||
\(151\) | −0.194376 | − | 0.323056i | −0.0158181 | − | 0.0262899i | 0.848847 | − | 0.528638i | \(-0.177297\pi\) |
−0.864665 | + | 0.502348i | \(0.832470\pi\) | |||||||
\(152\) | 0.188326 | + | 0.113312i | 0.0152752 | + | 0.00919081i | ||||
\(153\) | −8.21978 | − | 1.63295i | −0.664530 | − | 0.132016i | ||||
\(154\) | 28.0305 | − | 3.04850i | 2.25876 | − | 0.245655i | ||||
\(155\) | 6.20603 | + | 4.71770i | 0.498480 | + | 0.378935i | ||||
\(156\) | 0.884328 | − | 0.229598i | 0.0708029 | − | 0.0183825i | ||||
\(157\) | 8.87906 | − | 1.45565i | 0.708626 | − | 0.116173i | 0.203318 | − | 0.979113i | \(-0.434827\pi\) |
0.505308 | + | 0.862939i | \(0.331379\pi\) | |||||||
\(158\) | −0.750951 | − | 1.88474i | −0.0597424 | − | 0.149942i | ||||
\(159\) | 3.82810 | − | 7.92217i | 0.303588 | − | 0.628269i | ||||
\(160\) | −0.640324 | + | 0.675982i | −0.0506221 | + | 0.0534411i | ||||
\(161\) | 18.3469 | − | 21.5996i | 1.44594 | − | 1.70229i | ||||
\(162\) | 2.04934 | − | 8.76357i | 0.161011 | − | 0.688531i | ||||
\(163\) | 4.57190 | − | 6.74305i | 0.358099 | − | 0.528157i | −0.605381 | − | 0.795936i | \(-0.706979\pi\) |
0.963480 | + | 0.267779i | \(0.0862897\pi\) | |||||||
\(164\) | 3.45995 | + | 10.2688i | 0.270177 | + | 0.801855i | ||||
\(165\) | 8.82899 | + | 0.627657i | 0.687336 | + | 0.0488631i | ||||
\(166\) | 6.77432 | + | 7.97535i | 0.525789 | + | 0.619007i | ||||
\(167\) | 2.34795 | + | 0.127302i | 0.181690 | + | 0.00985094i | 0.144759 | − | 0.989467i | \(-0.453759\pi\) |
0.0369306 | + | 0.999318i | \(0.488242\pi\) | |||||||
\(168\) | −6.99229 | − | 5.50323i | −0.539467 | − | 0.424584i | ||||
\(169\) | 10.1277 | − | 7.69887i | 0.779054 | − | 0.592221i | ||||
\(170\) | −1.88834 | + | 1.78873i | −0.144829 | + | 0.137189i | ||||
\(171\) | −0.388155 | + | 0.533002i | −0.0296830 | + | 0.0407597i | ||||
\(172\) | −7.80274 | − | 2.16642i | −0.594953 | − | 0.165188i | ||||
\(173\) | −13.6144 | + | 6.29867i | −1.03508 | + | 0.478879i | −0.862468 | − | 0.506111i | \(-0.831083\pi\) |
−0.172612 | + | 0.984990i | \(0.555221\pi\) | |||||||
\(174\) | −3.37344 | − | 1.86177i | −0.255740 | − | 0.141141i | ||||
\(175\) | −20.7365 | + | 4.56445i | −1.56753 | + | 0.345040i | ||||
\(176\) | −5.48838 | −0.413702 | ||||||||
\(177\) | −10.5709 | + | 8.07816i | −0.794555 | + | 0.607192i | ||||
\(178\) | 6.91033 | 0.517951 | ||||||||
\(179\) | −8.16649 | + | 1.79758i | −0.610392 | + | 0.134357i | −0.509400 | − | 0.860530i | \(-0.670133\pi\) |
−0.100992 | + | 0.994887i | \(0.532202\pi\) | |||||||
\(180\) | −1.85174 | − | 2.09135i | −0.138020 | − | 0.155880i | ||||
\(181\) | 22.5554 | − | 10.4352i | 1.67653 | − | 0.775645i | 0.677329 | − | 0.735680i | \(-0.263137\pi\) |
0.999201 | − | 0.0399651i | \(-0.0127247\pi\) | |||||||
\(182\) | 2.61116 | + | 0.724984i | 0.193552 | + | 0.0537394i | ||||
\(183\) | −14.7221 | − | 4.35534i | −1.08829 | − | 0.321956i | ||||
\(184\) | −4.00490 | + | 3.79364i | −0.295245 | + | 0.279671i | ||||
\(185\) | −4.37343 | + | 3.32460i | −0.321541 | + | 0.244429i | ||||
\(186\) | 8.96862 | − | 11.3953i | 0.657611 | − | 0.835547i | ||||
\(187\) | −15.3091 | − | 0.830037i | −1.11952 | − | 0.0606984i | ||||
\(188\) | 3.64419 | + | 4.29027i | 0.265780 | + | 0.312900i | ||||
\(189\) | 18.2851 | − | 19.4488i | 1.33004 | − | 1.41469i | ||||
\(190\) | 0.0653437 | + | 0.193933i | 0.00474053 | + | 0.0140694i | ||||
\(191\) | −4.78349 | + | 7.05513i | −0.346122 | + | 0.510491i | −0.960410 | − | 0.278590i | \(-0.910133\pi\) |
0.614288 | + | 0.789082i | \(0.289443\pi\) | |||||||
\(192\) | 1.23727 | + | 1.21209i | 0.0892920 | + | 0.0874753i | ||||
\(193\) | −7.74362 | + | 9.11649i | −0.557398 | + | 0.656219i | −0.966620 | − | 0.256216i | \(-0.917524\pi\) |
0.409222 | + | 0.912435i | \(0.365800\pi\) | |||||||
\(194\) | 4.60933 | − | 4.86601i | 0.330930 | − | 0.349359i | ||||
\(195\) | 0.765968 | + | 0.370127i | 0.0548521 | + | 0.0265053i | ||||
\(196\) | −7.17793 | − | 18.0152i | −0.512709 | − | 1.28680i | ||||
\(197\) | 3.74993 | − | 0.614769i | 0.267171 | − | 0.0438005i | −0.0267073 | − | 0.999643i | \(-0.508502\pi\) |
0.293878 | + | 0.955843i | \(0.405054\pi\) | |||||||
\(198\) | 1.44340 | − | 16.4017i | 0.102578 | − | 1.16562i | ||||
\(199\) | 7.85798 | + | 5.97348i | 0.557037 | + | 0.423449i | 0.845448 | − | 0.534058i | \(-0.179334\pi\) |
−0.288411 | + | 0.957507i | \(0.593127\pi\) | |||||||
\(200\) | 4.10881 | − | 0.446860i | 0.290536 | − | 0.0315977i | ||||
\(201\) | 7.85895 | − | 1.15314i | 0.554327 | − | 0.0813365i | ||||
\(202\) | −0.444536 | − | 0.267469i | −0.0312775 | − | 0.0188190i | ||||
\(203\) | −5.89201 | − | 9.79259i | −0.413538 | − | 0.687305i | ||||
\(204\) | 3.26789 | + | 3.56810i | 0.228798 | + | 0.249817i | ||||
\(205\) | −3.73451 | + | 9.37291i | −0.260829 | + | 0.654632i | ||||
\(206\) | 0.280629 | − | 1.27491i | 0.0195523 | − | 0.0888271i | ||||
\(207\) | −10.2839 | − | 12.9661i | −0.714777 | − | 0.901210i | ||||
\(208\) | −0.490030 | − | 0.195246i | −0.0339775 | − | 0.0135379i | ||||
\(209\) | −0.565028 | + | 1.06576i | −0.0390838 | + | 0.0737199i | ||||
\(210\) | −1.64484 | − | 8.12028i | −0.113505 | − | 0.560352i | ||||
\(211\) | −4.97990 | + | 8.27666i | −0.342831 | + | 0.569789i | −0.979524 | − | 0.201328i | \(-0.935474\pi\) |
0.636693 | + | 0.771117i | \(0.280302\pi\) | |||||||
\(212\) | −4.48812 | + | 2.37945i | −0.308246 | + | 0.163421i | ||||
\(213\) | −6.45346 | + | 27.1378i | −0.442184 | + | 1.85945i | ||||
\(214\) | −2.61423 | + | 3.43896i | −0.178705 | + | 0.235082i | ||||
\(215\) | −4.23138 | − | 6.24081i | −0.288578 | − | 0.425620i | ||||
\(216\) | −3.94767 | + | 3.37874i | −0.268605 | + | 0.229894i | ||||
\(217\) | 39.9571 | − | 15.9204i | 2.71247 | − | 1.08075i | ||||
\(218\) | 0.587327 | − | 5.40039i | 0.0397788 | − | 0.365760i | ||||
\(219\) | −1.00087 | + | 0.509267i | −0.0676325 | + | 0.0344131i | ||||
\(220\) | −3.89486 | − | 3.30833i | −0.262592 | − | 0.223047i | ||||
\(221\) | −1.33735 | − | 0.618724i | −0.0899599 | − | 0.0416199i | ||||
\(222\) | 6.04682 | + | 8.23824i | 0.405836 | + | 0.552914i | ||||
\(223\) | 9.77077 | − | 3.29216i | 0.654299 | − | 0.220459i | 0.0274784 | − | 0.999622i | \(-0.491252\pi\) |
0.626821 | + | 0.779163i | \(0.284356\pi\) | |||||||
\(224\) | 1.37439 | + | 4.95011i | 0.0918304 | + | 0.330743i | ||||
\(225\) | 0.254832 | + | 12.3965i | 0.0169888 | + | 0.826432i | ||||
\(226\) | −0.0952662 | + | 1.75708i | −0.00633701 | + | 0.116879i | ||||
\(227\) | 0.119249 | + | 0.0401795i | 0.00791480 | + | 0.00266681i | 0.323256 | − | 0.946312i | \(-0.395222\pi\) |
−0.315341 | + | 0.948978i | \(0.602119\pi\) | |||||||
\(228\) | 0.362746 | − | 0.115473i | 0.0240234 | − | 0.00764736i | ||||
\(229\) | 3.70807 | + | 3.91457i | 0.245036 | + | 0.258682i | 0.836899 | − | 0.547357i | \(-0.184366\pi\) |
−0.591863 | + | 0.806039i | \(0.701607\pi\) | |||||||
\(230\) | −5.12887 | + | 0.278079i | −0.338188 | + | 0.0183360i | ||||
\(231\) | 28.0819 | − | 39.9552i | 1.84765 | − | 2.62886i | ||||
\(232\) | 0.934078 | + | 2.01898i | 0.0613252 | + | 0.132552i | ||||
\(233\) | −2.12314 | + | 12.9506i | −0.139091 | + | 0.848420i | 0.821450 | + | 0.570281i | \(0.193166\pi\) |
−0.960541 | + | 0.278139i | \(0.910283\pi\) | |||||||
\(234\) | 0.712357 | − | 1.41308i | 0.0465682 | − | 0.0923761i | ||||
\(235\) | 5.24130i | 0.341904i | ||||||||
\(236\) | 7.67971 | − | 0.148563i | 0.499906 | − | 0.00967064i | ||||
\(237\) | −3.31078 | − | 1.17785i | −0.215058 | − | 0.0765093i | ||||
\(238\) | 3.08506 | + | 14.0156i | 0.199975 | + | 0.908495i | ||||
\(239\) | −19.7366 | − | 3.23566i | −1.27666 | − | 0.209297i | −0.514950 | − | 0.857220i | \(-0.672190\pi\) |
−0.761706 | + | 0.647923i | \(0.775638\pi\) | |||||||
\(240\) | 0.147399 | + | 1.60598i | 0.00951458 | + | 0.103666i | ||||
\(241\) | −5.93925 | + | 21.3913i | −0.382581 | + | 1.37793i | 0.482323 | + | 0.875994i | \(0.339793\pi\) |
−0.864904 | + | 0.501938i | \(0.832620\pi\) | |||||||
\(242\) | −1.03526 | − | 19.0942i | −0.0665490 | − | 1.22742i | ||||
\(243\) | −9.05898 | − | 12.6860i | −0.581134 | − | 0.813808i | ||||
\(244\) | 5.36425 | + | 7.05655i | 0.343411 | + | 0.451749i | ||||
\(245\) | 5.76550 | − | 17.1114i | 0.368345 | − | 1.09321i | ||||
\(246\) | 17.3163 | + | 7.23895i | 1.10405 | + | 0.461539i | ||||
\(247\) | −0.0883623 | + | 0.0750556i | −0.00562236 | + | 0.00477567i | ||||
\(248\) | −8.06720 | + | 2.23985i | −0.512268 | + | 0.142230i | ||||
\(249\) | 18.1218 | + | 0.304579i | 1.14842 | + | 0.0193019i | ||||
\(250\) | 7.03855 | + | 4.77226i | 0.445157 | + | 0.301824i | ||||
\(251\) | −9.55260 | + | 20.6476i | −0.602955 | + | 1.30327i | 0.330241 | + | 0.943897i | \(0.392870\pi\) |
−0.933196 | + | 0.359369i | \(0.882992\pi\) | |||||||
\(252\) | −15.1546 | + | 2.80546i | −0.954651 | + | 0.176727i | ||||
\(253\) | −21.9804 | − | 20.8209i | −1.38190 | − | 1.30900i | ||||
\(254\) | 4.30889 | + | 0.468620i | 0.270364 | + | 0.0294038i | ||||
\(255\) | 0.168270 | + | 4.50197i | 0.0105375 | + | 0.281924i | ||||
\(256\) | −0.161782 | − | 0.986827i | −0.0101114 | − | 0.0616767i | ||||
\(257\) | −11.9663 | + | 8.11333i | −0.746435 | + | 0.506096i | −0.874115 | − | 0.485720i | \(-0.838558\pi\) |
0.127679 | + | 0.991816i | \(0.459247\pi\) | |||||||
\(258\) | −11.7398 | + | 7.67500i | −0.730888 | + | 0.477825i | ||||
\(259\) | 3.27718 | + | 30.1332i | 0.203634 | + | 1.87238i | ||||
\(260\) | −0.230061 | − | 0.433942i | −0.0142678 | − | 0.0269119i | ||||
\(261\) | −6.27927 | + | 2.26047i | −0.388677 | + | 0.139920i | ||||
\(262\) | 1.57228 | − | 0.946008i | 0.0971356 | − | 0.0584445i | ||||
\(263\) | 12.4824 | + | 6.61776i | 0.769699 | + | 0.408068i | 0.806485 | − | 0.591255i | \(-0.201367\pi\) |
−0.0367862 | + | 0.999323i | \(0.511712\pi\) | |||||||
\(264\) | −6.27504 | + | 7.14078i | −0.386202 | + | 0.439485i | ||||
\(265\) | −4.61933 | − | 1.01679i | −0.283763 | − | 0.0624610i | ||||
\(266\) | 1.10273 | + | 0.242729i | 0.0676126 | + | 0.0148827i | ||||
\(267\) | 7.90080 | − | 8.99085i | 0.483521 | − | 0.550231i | ||||
\(268\) | −4.05174 | − | 2.14810i | −0.247499 | − | 0.131216i | ||||
\(269\) | 16.6993 | − | 10.0477i | 1.01818 | − | 0.612617i | 0.0943948 | − | 0.995535i | \(-0.469908\pi\) |
0.923782 | + | 0.382918i | \(0.125081\pi\) | |||||||
\(270\) | −4.83816 | + | 0.0181344i | −0.294441 | + | 0.00110362i | ||||
\(271\) | 6.99009 | + | 13.1847i | 0.424618 | + | 0.800914i | 0.999854 | − | 0.0170732i | \(-0.00543484\pi\) |
−0.575237 | + | 0.817987i | \(0.695090\pi\) | |||||||
\(272\) | −0.302027 | − | 2.77710i | −0.0183131 | − | 0.168386i | ||||
\(273\) | 3.92868 | − | 2.56841i | 0.237774 | − | 0.155447i | ||||
\(274\) | −16.6979 | + | 11.3215i | −1.00876 | + | 0.683954i | ||||
\(275\) | 3.66981 | + | 22.3848i | 0.221298 | + | 1.34986i | ||||
\(276\) | 0.356878 | + | 9.54806i | 0.0214816 | + | 0.574726i | ||||
\(277\) | 3.57393 | + | 0.388688i | 0.214737 | + | 0.0233540i | 0.214855 | − | 0.976646i | \(-0.431072\pi\) |
−0.000118286 | 1.00000i | \(0.500038\pi\) | ||||||||
\(278\) | −5.97391 | − | 5.65879i | −0.358291 | − | 0.339391i | ||||
\(279\) | −4.57206 | − | 24.6975i | −0.273722 | − | 1.47860i | ||||
\(280\) | −2.00852 | + | 4.34135i | −0.120032 | + | 0.259445i | ||||
\(281\) | −9.74074 | − | 6.60438i | −0.581084 | − | 0.393984i | 0.234934 | − | 0.972011i | \(-0.424513\pi\) |
−0.816018 | + | 0.578027i | \(0.803823\pi\) | |||||||
\(282\) | 9.74848 | + | 0.163846i | 0.580513 | + | 0.00975687i | ||||
\(283\) | 6.83863 | − | 1.89874i | 0.406514 | − | 0.112868i | −0.0582512 | − | 0.998302i | \(-0.518552\pi\) |
0.464765 | + | 0.885434i | \(0.346139\pi\) | |||||||
\(284\) | 12.2746 | − | 10.4261i | 0.728361 | − | 0.618676i | ||||
\(285\) | 0.327031 | + | 0.136713i | 0.0193716 | + | 0.00809818i | ||||
\(286\) | 0.924406 | − | 2.74354i | 0.0546613 | − | 0.162229i | ||||
\(287\) | 33.6891 | + | 44.3173i | 1.98861 | + | 2.61597i | ||||
\(288\) | 2.99163 | − | 0.223949i | 0.176283 | − | 0.0131963i | ||||
\(289\) | 0.497889 | + | 9.18303i | 0.0292876 | + | 0.540178i | ||||
\(290\) | −0.554140 | + | 1.99583i | −0.0325402 | + | 0.117199i | ||||
\(291\) | −1.06104 | − | 11.5605i | −0.0621994 | − | 0.677690i | ||||
\(292\) | 0.639814 | + | 0.104892i | 0.0374423 | + | 0.00613835i | ||||
\(293\) | −0.957510 | − | 4.35001i | −0.0559384 | − | 0.254131i | 0.940350 | − | 0.340208i | \(-0.110498\pi\) |
−0.996288 | + | 0.0860779i | \(0.972567\pi\) | |||||||
\(294\) | −31.6459 | − | 11.2584i | −1.84563 | − | 0.656602i | ||||
\(295\) | 5.53951 | + | 4.52381i | 0.322523 | + | 0.263386i | ||||
\(296\) | − | 5.90007i | − | 0.342935i | ||||||
\(297\) | −19.6896 | − | 20.6306i | −1.14251 | − | 1.19711i | ||||
\(298\) | 2.43837 | − | 14.8734i | 0.141251 | − | 0.861595i | ||||
\(299\) | −1.22183 | − | 2.64094i | −0.0706602 | − | 0.152730i | ||||
\(300\) | 4.11633 | − | 5.85677i | 0.237657 | − | 0.338141i | ||||
\(301\) | −41.5409 | + | 2.25228i | −2.39438 | + | 0.129820i | ||||
\(302\) | 0.259280 | + | 0.273718i | 0.0149199 | + | 0.0157507i | ||||
\(303\) | −0.856249 | + | 0.272569i | −0.0491902 | + | 0.0156587i | ||||
\(304\) | −0.208282 | − | 0.0701783i | −0.0119458 | − | 0.00402500i | ||||
\(305\) | −0.446827 | + | 8.24123i | −0.0255852 | + | 0.471892i | ||||
\(306\) | 8.37865 | − | 0.172238i | 0.478975 | − | 0.00984620i | ||||
\(307\) | −5.62114 | − | 20.2455i | −0.320815 | − | 1.15547i | −0.931543 | − | 0.363632i | \(-0.881537\pi\) |
0.610727 | − | 0.791841i | \(-0.290877\pi\) | |||||||
\(308\) | −26.7199 | + | 9.00297i | −1.52251 | + | 0.512992i | ||||
\(309\) | −1.33790 | − | 1.82276i | −0.0761104 | − | 0.103693i | ||||
\(310\) | −7.07510 | − | 3.27329i | −0.401839 | − | 0.185910i | ||||
\(311\) | −1.77750 | − | 1.50982i | −0.100793 | − | 0.0856140i | 0.595573 | − | 0.803301i | \(-0.296925\pi\) |
−0.696366 | + | 0.717687i | \(0.745201\pi\) | |||||||
\(312\) | −0.814296 | + | 0.414334i | −0.0461004 | + | 0.0234571i | ||||
\(313\) | −0.663973 | + | 6.10513i | −0.0375300 | + | 0.345082i | 0.960285 | + | 0.279019i | \(0.0900094\pi\) |
−0.997815 | + | 0.0660630i | \(0.978956\pi\) | |||||||
\(314\) | −8.35855 | + | 3.33035i | −0.471700 | + | 0.187943i | ||||
\(315\) | −12.4457 | − | 7.14411i | −0.701234 | − | 0.402525i | ||||
\(316\) | 1.13856 | + | 1.67925i | 0.0640489 | + | 0.0944650i | ||||
\(317\) | −2.21920 | + | 2.91931i | −0.124643 | + | 0.163965i | −0.854182 | − | 0.519974i | \(-0.825941\pi\) |
0.729539 | + | 0.683939i | \(0.239735\pi\) | |||||||
\(318\) | −2.03557 | + | 8.55988i | −0.114149 | + | 0.480014i | ||||
\(319\) | −10.7871 | + | 5.71896i | −0.603962 | + | 0.320200i | ||||
\(320\) | 0.480037 | − | 0.797828i | 0.0268349 | − | 0.0446000i | ||||
\(321\) | 1.48541 | + | 7.33317i | 0.0829073 | + | 0.409298i | ||||
\(322\) | −13.2747 | + | 25.0387i | −0.739768 | + | 1.39535i | ||||
\(323\) | −0.570362 | − | 0.227253i | −0.0317358 | − | 0.0126447i | ||||
\(324\) | −0.117515 | + | 8.99923i | −0.00652859 | + | 0.499957i | ||||
\(325\) | −0.468668 | + | 2.12918i | −0.0259970 | + | 0.118106i | ||||
\(326\) | −3.01546 | + | 7.56823i | −0.167011 | + | 0.419165i | ||||
\(327\) | −6.35479 | − | 6.93859i | −0.351421 | − | 0.383705i | ||||
\(328\) | −5.58654 | − | 9.28489i | −0.308465 | − | 0.512672i | ||||
\(329\) | 24.7792 | + | 14.9091i | 1.36612 | + | 0.821967i | ||||
\(330\) | −8.75750 | + | 1.28499i | −0.482084 | + | 0.0707363i | ||||
\(331\) | −18.8493 | + | 2.04999i | −1.03605 | + | 0.112678i | −0.610307 | − | 0.792165i | \(-0.708954\pi\) |
−0.425747 | + | 0.904842i | \(0.639988\pi\) | |||||||
\(332\) | −8.33040 | − | 6.33261i | −0.457190 | − | 0.347547i | ||||
\(333\) | 17.6321 | + | 1.55168i | 0.966232 | + | 0.0850313i | ||||
\(334\) | −2.32042 | + | 0.380414i | −0.126968 | + | 0.0208153i | ||||
\(335\) | −1.58050 | − | 3.96675i | −0.0863519 | − | 0.216727i | ||||
\(336\) | 8.01185 | + | 3.87144i | 0.437082 | + | 0.211204i | ||||
\(337\) | −24.3323 | + | 25.6873i | −1.32547 | + | 1.39928i | −0.468891 | + | 0.883256i | \(0.655346\pi\) |
−0.856575 | + | 0.516022i | \(0.827412\pi\) | |||||||
\(338\) | −8.23589 | + | 9.69603i | −0.447973 | + | 0.527395i | ||||
\(339\) | 2.17717 | + | 2.13288i | 0.118248 | + | 0.115842i | ||||
\(340\) | 1.45966 | − | 2.15284i | 0.0791614 | − | 0.116754i | ||||
\(341\) | −14.6721 | − | 43.5454i | −0.794541 | − | 2.35811i | ||||
\(342\) | 0.264501 | − | 0.603983i | 0.0143026 | − | 0.0326597i | ||||
\(343\) | −41.2160 | − | 48.5232i | −2.22545 | − | 2.62001i | ||||
\(344\) | 8.08603 | + | 0.438412i | 0.435970 | + | 0.0236376i | ||||
\(345\) | −5.50220 | + | 6.99097i | −0.296228 | + | 0.376381i | ||||
\(346\) | 11.9420 | − | 9.07809i | 0.642007 | − | 0.488041i | ||||
\(347\) | 9.86172 | − | 9.34152i | 0.529405 | − | 0.501479i | −0.375657 | − | 0.926759i | \(-0.622583\pi\) |
0.905062 | + | 0.425280i | \(0.139824\pi\) | |||||||
\(348\) | 3.69480 | + | 1.09306i | 0.198062 | + | 0.0585939i | ||||
\(349\) | 6.36540 | + | 1.76734i | 0.340732 | + | 0.0946038i | 0.433679 | − | 0.901067i | \(-0.357215\pi\) |
−0.0929473 | + | 0.995671i | \(0.529629\pi\) | |||||||
\(350\) | 19.2705 | − | 8.91547i | 1.03005 | − | 0.476552i | ||||
\(351\) | −1.02406 | − | 2.54245i | −0.0546605 | − | 0.135706i | ||||
\(352\) | 5.36006 | − | 1.17984i | 0.285692 | − | 0.0628856i | ||||
\(353\) | −30.1992 | −1.60734 | −0.803669 | − | 0.595076i | \(-0.797122\pi\) | ||||
−0.803669 | + | 0.595076i | \(0.797122\pi\) | |||||||
\(354\) | 8.58716 | − | 10.1617i | 0.456403 | − | 0.540089i | ||||
\(355\) | 14.9955 | 0.795876 | ||||||||
\(356\) | −6.74877 | + | 1.48552i | −0.357684 | + | 0.0787322i | ||||
\(357\) | 21.7625 | + | 12.0106i | 1.15180 | + | 0.635666i | ||||
\(358\) | 7.58914 | − | 3.51111i | 0.401098 | − | 0.185568i | ||||
\(359\) | 14.0141 | + | 3.89100i | 0.739638 | + | 0.205359i | 0.616858 | − | 0.787075i | \(-0.288405\pi\) |
0.122780 | + | 0.992434i | \(0.460819\pi\) | |||||||
\(360\) | 2.25802 | + | 1.64439i | 0.119008 | + | 0.0866670i | ||||
\(361\) | 13.7588 | − | 13.0331i | 0.724150 | − | 0.685951i | ||||
\(362\) | −19.7848 | + | 15.0400i | −1.03987 | + | 0.790486i | ||||
\(363\) | −26.0266 | − | 20.4841i | −1.36604 | − | 1.07514i | ||||
\(364\) | −2.70596 | − | 0.146713i | −0.141831 | − | 0.00768984i | ||||
\(365\) | 0.390821 | + | 0.460109i | 0.0204565 | + | 0.0240832i | ||||
\(366\) | 15.3142 | + | 1.08870i | 0.800487 | + | 0.0569070i | ||||
\(367\) | −1.29094 | − | 3.83138i | −0.0673866 | − | 0.199996i | 0.908669 | − | 0.417517i | \(-0.137100\pi\) |
−0.976056 | + | 0.217521i | \(0.930203\pi\) | |||||||
\(368\) | 3.09575 | − | 4.56589i | 0.161377 | − | 0.238013i | ||||
\(369\) | 29.2167 | − | 14.2532i | 1.52096 | − | 0.741993i | ||||
\(370\) | 3.55649 | − | 4.18703i | 0.184893 | − | 0.217673i | ||||
\(371\) | −17.9470 | + | 18.9464i | −0.931762 | + | 0.983649i | ||||
\(372\) | −6.30928 | + | 13.0569i | −0.327121 | + | 0.676969i | ||||
\(373\) | −0.0500129 | − | 0.125523i | −0.00258957 | − | 0.00649933i | 0.927676 | − | 0.373386i | \(-0.121803\pi\) |
−0.930266 | + | 0.366886i | \(0.880424\pi\) | |||||||
\(374\) | 15.1297 | − | 2.48038i | 0.782336 | − | 0.128257i | ||||
\(375\) | 14.2565 | − | 3.70140i | 0.736200 | − | 0.191139i | ||||
\(376\) | −4.48127 | − | 3.40657i | −0.231104 | − | 0.175681i | ||||
\(377\) | −1.16658 | + | 0.126873i | −0.0600817 | + | 0.00653428i | ||||
\(378\) | −13.6767 | + | 22.9248i | −0.703451 | + | 1.17913i | ||||
\(379\) | 8.33011 | + | 5.01206i | 0.427889 | + | 0.257452i | 0.713169 | − | 0.700992i | \(-0.247259\pi\) |
−0.285280 | + | 0.958444i | \(0.592087\pi\) | |||||||
\(380\) | −0.105506 | − | 0.175352i | −0.00541234 | − | 0.00899537i | ||||
\(381\) | 5.53620 | − | 5.07039i | 0.283628 | − | 0.259764i | ||||
\(382\) | 3.15502 | − | 7.91849i | 0.161425 | − | 0.405145i | ||||
\(383\) | 4.11055 | − | 18.6744i | 0.210039 | − | 0.954219i | −0.747127 | − | 0.664681i | \(-0.768567\pi\) |
0.957167 | − | 0.289538i | \(-0.0935015\pi\) | |||||||
\(384\) | −1.46890 | − | 0.917780i | −0.0749597 | − | 0.0468353i | ||||
\(385\) | −24.3888 | − | 9.71739i | −1.24297 | − | 0.495244i | ||||
\(386\) | 5.60280 | − | 10.5680i | 0.285175 | − | 0.537897i | ||||
\(387\) | −3.43674 | + | 24.0494i | −0.174699 | + | 1.22250i | ||||
\(388\) | −3.45551 | + | 5.74311i | −0.175427 | + | 0.291562i | ||||
\(389\) | −12.9197 | + | 6.84959i | −0.655054 | + | 0.347288i | −0.762561 | − | 0.646916i | \(-0.776058\pi\) |
0.107506 | + | 0.994204i | \(0.465713\pi\) | |||||||
\(390\) | −0.827627 | − | 0.196813i | −0.0419085 | − | 0.00996600i | ||||
\(391\) | 9.32572 | − | 12.2678i | 0.471622 | − | 0.620408i | ||||
\(392\) | 10.8829 | + | 16.0510i | 0.549667 | + | 0.810699i | ||||
\(393\) | 0.566809 | − | 3.12725i | 0.0285917 | − | 0.157749i | ||||
\(394\) | −3.53010 | + | 1.40652i | −0.177844 | + | 0.0708594i | ||||
\(395\) | −0.204245 | + | 1.87800i | −0.0102767 | + | 0.0944923i | ||||
\(396\) | 2.11623 | + | 16.3286i | 0.106345 | + | 0.820541i | ||||
\(397\) | 22.5149 | + | 19.1244i | 1.12999 | + | 0.959824i | 0.999500 | − | 0.0316249i | \(-0.0100682\pi\) |
0.130493 | + | 0.991449i | \(0.458344\pi\) | |||||||
\(398\) | −8.95838 | − | 4.14459i | −0.449043 | − | 0.207749i | ||||
\(399\) | 1.57659 | − | 1.15721i | 0.0789283 | − | 0.0579330i | ||||
\(400\) | −3.91668 | + | 1.31968i | −0.195834 | + | 0.0659842i | ||||
\(401\) | 2.26927 | + | 8.17316i | 0.113322 | + | 0.408148i | 0.998352 | − | 0.0573851i | \(-0.0182763\pi\) |
−0.885030 | + | 0.465533i | \(0.845863\pi\) | |||||||
\(402\) | −7.42732 | + | 2.81562i | −0.370441 | + | 0.140431i | ||||
\(403\) | 0.239098 | − | 4.40990i | 0.0119103 | − | 0.219673i | ||||
\(404\) | 0.491641 | + | 0.165653i | 0.0244601 | + | 0.00824156i | ||||
\(405\) | −5.50802 | + | 6.31553i | −0.273696 | + | 0.313821i | ||||
\(406\) | 7.85937 | + | 8.29704i | 0.390054 | + | 0.411775i | ||||
\(407\) | 32.3343 | − | 1.75312i | 1.60275 | − | 0.0868988i | ||||
\(408\) | −3.95852 | − | 2.78218i | −0.195976 | − | 0.137739i | ||||
\(409\) | −14.0845 | − | 30.4431i | −0.696433 | − | 1.50532i | −0.855365 | − | 0.518026i | \(-0.826667\pi\) |
0.158932 | − | 0.987290i | \(-0.449195\pi\) | |||||||
\(410\) | 1.63230 | − | 9.95658i | 0.0806135 | − | 0.491721i | ||||
\(411\) | −4.36119 | + | 34.6694i | −0.215122 | + | 1.71011i | ||||
\(412\) | 1.30543i | 0.0643138i | ||||||||
\(413\) | 37.1445 | − | 13.3208i | 1.82776 | − | 0.655475i | ||||
\(414\) | 12.8308 | + | 10.4523i | 0.630598 | + | 0.513702i | ||||
\(415\) | −2.09451 | − | 9.51545i | −0.102815 | − | 0.467095i | ||||
\(416\) | 0.520546 | + | 0.0853391i | 0.0255218 | + | 0.00418409i | ||||
\(417\) | −14.1927 | + | 1.30262i | −0.695017 | + | 0.0637897i | ||||
\(418\) | 0.322712 | − | 1.16230i | 0.0157844 | − | 0.0568501i | ||||
\(419\) | 1.54073 | + | 28.4171i | 0.0752697 | + | 1.38827i | 0.755442 | + | 0.655216i | \(0.227422\pi\) |
−0.680172 | + | 0.733053i | \(0.738095\pi\) | |||||||
\(420\) | 3.35201 | + | 7.57684i | 0.163561 | + | 0.369712i | ||||
\(421\) | 22.7751 | + | 29.9601i | 1.10999 | + | 1.46017i | 0.872393 | + | 0.488804i | \(0.162567\pi\) |
0.237598 | + | 0.971364i | \(0.423640\pi\) | |||||||
\(422\) | 3.08424 | − | 9.15369i | 0.150138 | − | 0.445595i | ||||
\(423\) | 11.3589 | − | 12.4962i | 0.552290 | − | 0.607584i | ||||
\(424\) | 3.87168 | − | 3.28864i | 0.188026 | − | 0.159710i | ||||
\(425\) | −11.1247 | + | 3.08875i | −0.539626 | + | 0.149826i | ||||
\(426\) | 0.468766 | − | 27.8906i | 0.0227118 | − | 1.35130i | ||||
\(427\) | 37.6909 | + | 25.5551i | 1.82399 | + | 1.23670i | ||||
\(428\) | 1.81383 | − | 3.92054i | 0.0876750 | − | 0.189506i | ||||
\(429\) | −2.51264 | − | 4.33950i | −0.121312 | − | 0.209513i | ||||
\(430\) | 5.47404 | + | 5.18529i | 0.263982 | + | 0.250057i | ||||
\(431\) | −28.9822 | − | 3.15200i | −1.39602 | − | 0.151827i | −0.621026 | − | 0.783790i | \(-0.713284\pi\) |
−0.774998 | + | 0.631964i | \(0.782249\pi\) | |||||||
\(432\) | 3.12905 | − | 4.14838i | 0.150547 | − | 0.199589i | ||||
\(433\) | −4.46991 | − | 27.2652i | −0.214810 | − | 1.31028i | −0.845386 | − | 0.534156i | \(-0.820630\pi\) |
0.630576 | − | 0.776127i | \(-0.282819\pi\) | |||||||
\(434\) | −35.6005 | + | 24.1378i | −1.70888 | + | 1.15865i | ||||
\(435\) | 1.96316 | + | 3.00287i | 0.0941262 | + | 0.143977i | ||||
\(436\) | 0.587327 | + | 5.40039i | 0.0281279 | + | 0.258632i | ||||
\(437\) | −0.567916 | − | 1.07120i | −0.0271671 | − | 0.0512426i | ||||
\(438\) | 0.867992 | − | 0.712518i | 0.0414743 | − | 0.0340454i | ||||
\(439\) | −17.8490 | + | 10.7394i | −0.851887 | + | 0.512564i | −0.873286 | − | 0.487207i | \(-0.838016\pi\) |
0.0213990 | + | 0.999771i | \(0.493188\pi\) | |||||||
\(440\) | 4.51500 | + | 2.39370i | 0.215244 | + | 0.114115i | ||||
\(441\) | −50.8298 | + | 28.3016i | −2.42046 | + | 1.34769i | ||||
\(442\) | 1.43909 | + | 0.316768i | 0.0684506 | + | 0.0150671i | ||||
\(443\) | 34.1759 | + | 7.52268i | 1.62374 | + | 0.357413i | 0.931356 | − | 0.364111i | \(-0.118627\pi\) |
0.692389 | + | 0.721524i | \(0.256558\pi\) | |||||||
\(444\) | −7.67643 | − | 6.74574i | −0.364307 | − | 0.320139i | ||||
\(445\) | −5.68476 | − | 3.01387i | −0.269484 | − | 0.142871i | ||||
\(446\) | −8.83462 | + | 5.31562i | −0.418332 | + | 0.251702i | ||||
\(447\) | −16.5636 | − | 20.1778i | −0.783429 | − | 0.954376i | ||||
\(448\) | −2.40639 | − | 4.53893i | −0.113691 | − | 0.214444i | ||||
\(449\) | −1.84487 | − | 16.9633i | −0.0870646 | − | 0.800546i | −0.953528 | − | 0.301305i | \(-0.902578\pi\) |
0.866463 | − | 0.499241i | \(-0.166388\pi\) | |||||||
\(450\) | −2.91375 | − | 12.0519i | −0.137356 | − | 0.568131i | ||||
\(451\) | 49.2243 | − | 33.3749i | 2.31788 | − | 1.57156i | ||||
\(452\) | −0.284682 | − | 1.73648i | −0.0133903 | − | 0.0816772i | ||||
\(453\) | 0.652570 | − | 0.0243911i | 0.0306604 | − | 0.00114600i | ||||
\(454\) | −0.125098 | − | 0.0136052i | −0.00587114 | − | 0.000638525i | ||||
\(455\) | −1.83187 | − | 1.73524i | −0.0858792 | − | 0.0813491i | ||||
\(456\) | −0.329442 | + | 0.190753i | −0.0154275 | + | 0.00893281i | ||||
\(457\) | 5.37155 | − | 11.6104i | 0.251271 | − | 0.543112i | −0.740362 | − | 0.672209i | \(-0.765346\pi\) |
0.991632 | + | 0.129097i | \(0.0412077\pi\) | |||||||
\(458\) | −4.46290 | − | 3.02592i | −0.208538 | − | 0.141392i | ||||
\(459\) | 9.35548 | − | 11.0982i | 0.436676 | − | 0.518018i | ||||
\(460\) | 4.94918 | − | 1.37413i | 0.230757 | − | 0.0640693i | ||||
\(461\) | 28.4212 | − | 24.1412i | 1.32371 | − | 1.12437i | 0.340829 | − | 0.940125i | \(-0.389292\pi\) |
0.982881 | − | 0.184243i | \(-0.0589835\pi\) | |||||||
\(462\) | −18.8361 | + | 45.0579i | −0.876337 | + | 2.09628i | ||||
\(463\) | 7.45258 | − | 22.1185i | 0.346351 | − | 1.02793i | −0.622994 | − | 0.782227i | \(-0.714084\pi\) |
0.969344 | − | 0.245706i | \(-0.0790197\pi\) | |||||||
\(464\) | −1.34626 | − | 1.77097i | −0.0624985 | − | 0.0822154i | ||||
\(465\) | −12.3480 | + | 5.46277i | −0.572624 | + | 0.253330i | ||||
\(466\) | −0.710489 | − | 13.1042i | −0.0329128 | − | 0.607040i | ||||
\(467\) | −3.18003 | + | 11.4534i | −0.147154 | + | 0.530002i | 0.852815 | + | 0.522212i | \(0.174893\pi\) |
−0.999970 | + | 0.00778912i | \(0.997521\pi\) | |||||||
\(468\) | −0.391931 | + | 1.53318i | −0.0181170 | + | 0.0708713i | ||||
\(469\) | −23.2493 | − | 3.81154i | −1.07356 | − | 0.176000i | ||||
\(470\) | −1.12672 | − | 5.11876i | −0.0519719 | − | 0.236111i | ||||
\(471\) | −5.22357 | + | 14.6828i | −0.240689 | + | 0.676547i | ||||
\(472\) | −7.46822 | + | 1.79600i | −0.343753 | + | 0.0826676i | ||||
\(473\) | 44.4444i | 2.04355i | ||||||||
\(474\) | 3.48657 | + | 0.438589i | 0.160144 | + | 0.0201451i | ||||
\(475\) | −0.146961 | + | 0.896420i | −0.00674301 | + | 0.0411306i | ||||
\(476\) | −6.02587 | − | 13.0247i | −0.276195 | − | 0.596986i | ||||
\(477\) | 8.80970 | + | 12.4352i | 0.403369 | + | 0.569369i | ||||
\(478\) | 19.9708 | − | 1.08278i | 0.913442 | − | 0.0495254i | ||||
\(479\) | −0.966199 | − | 1.02000i | −0.0441468 | − | 0.0466052i | 0.703548 | − | 0.710648i | \(-0.251598\pi\) |
−0.747695 | + | 0.664043i | \(0.768839\pi\) | |||||||
\(480\) | −0.489191 | − | 1.53675i | −0.0223284 | − | 0.0701426i | ||||
\(481\) | 2.94934 | + | 0.993748i | 0.134478 | + | 0.0453110i | ||||
\(482\) | 1.20191 | − | 22.1679i | 0.0547454 | − | 1.00972i | ||||
\(483\) | 17.3998 | + | 45.8988i | 0.791718 | + | 2.08847i | ||||
\(484\) | 5.11575 | + | 18.4253i | 0.232534 | + | 0.837512i | ||||
\(485\) | −5.91411 | + | 1.99269i | −0.268546 | + | 0.0904836i | ||||
\(486\) | 11.5743 | + | 10.4420i | 0.525021 | + | 0.473659i | ||||
\(487\) | 24.2978 | + | 11.2414i | 1.10104 | + | 0.509395i | 0.884340 | − | 0.466844i | \(-0.154609\pi\) |
0.216699 | + | 0.976238i | \(0.430471\pi\) | |||||||
\(488\) | −6.75579 | − | 5.73842i | −0.305820 | − | 0.259766i | ||||
\(489\) | 6.39915 | + | 12.5763i | 0.289380 | + | 0.568721i | ||||
\(490\) | −1.95226 | + | 17.9508i | −0.0881943 | + | 0.810933i | ||||
\(491\) | 20.7391 | − | 8.26321i | 0.935942 | − | 0.372913i | 0.148227 | − | 0.988953i | \(-0.452643\pi\) |
0.787715 | + | 0.616040i | \(0.211264\pi\) | |||||||
\(492\) | −18.4676 | − | 3.34722i | −0.832583 | − | 0.150904i | ||||
\(493\) | −3.48739 | − | 5.14351i | −0.157064 | − | 0.231652i | ||||
\(494\) | 0.0701617 | − | 0.0922961i | 0.00315672 | − | 0.00415260i | ||||
\(495\) | −8.34086 | + | 12.8633i | −0.374894 | + | 0.578163i | ||||
\(496\) | 7.39709 | − | 3.92169i | 0.332139 | − | 0.176089i | ||||
\(497\) | 42.6554 | − | 70.8938i | 1.91335 | − | 3.18002i | ||||
\(498\) | −17.7636 | + | 3.59819i | −0.796006 | + | 0.161239i | ||||
\(499\) | −6.27590 | + | 11.8376i | −0.280948 | + | 0.529924i | −0.983320 | − | 0.181887i | \(-0.941780\pi\) |
0.702372 | + | 0.711810i | \(0.252124\pi\) | |||||||
\(500\) | −7.89989 | − | 3.14760i | −0.353294 | − | 0.140765i | ||||
\(501\) | −2.15807 | + | 3.45398i | −0.0964154 | + | 0.154313i | ||||
\(502\) | 4.89064 | − | 22.2184i | 0.218280 | − | 0.991656i | ||||
\(503\) | 2.31007 | − | 5.79784i | 0.103001 | − | 0.258513i | −0.868440 | − | 0.495794i | \(-0.834877\pi\) |
0.971441 | + | 0.237281i | \(0.0762563\pi\) | |||||||
\(504\) | 14.1972 | − | 5.99766i | 0.632395 | − | 0.267157i | ||||
\(505\) | 0.249043 | + | 0.413912i | 0.0110823 | + | 0.0184189i | ||||
\(506\) | 25.9424 | + | 15.6090i | 1.15328 | + | 0.693906i | ||||
\(507\) | 3.19890 | + | 21.8013i | 0.142068 | + | 0.968229i | ||||
\(508\) | −4.30889 | + | 0.468620i | −0.191176 | + | 0.0207916i | ||||
\(509\) | 11.9338 | + | 9.07187i | 0.528958 | + | 0.402104i | 0.835280 | − | 0.549824i | \(-0.185305\pi\) |
−0.306322 | + | 0.951928i | \(0.599098\pi\) | |||||||
\(510\) | −1.13213 | − | 4.36055i | −0.0501314 | − | 0.193088i | ||||
\(511\) | 3.28696 | − | 0.538870i | 0.145407 | − | 0.0238382i | ||||
\(512\) | 0.370138 | + | 0.928977i | 0.0163579 | + | 0.0410554i | ||||
\(513\) | −0.483414 | − | 1.03469i | −0.0213433 | − | 0.0456826i | ||||
\(514\) | 9.94238 | − | 10.4960i | 0.438539 | − | 0.462961i | ||||
\(515\) | −0.786897 | + | 0.926406i | −0.0346748 | + | 0.0408223i | ||||
\(516\) | 9.81543 | − | 10.0193i | 0.432100 | − | 0.441074i | ||||
\(517\) | 17.3376 | − | 25.5711i | 0.762507 | − | 1.12461i | ||||
\(518\) | −9.67830 | − | 28.7242i | −0.425240 | − | 1.26207i | ||||
\(519\) | 1.84243 | − | 25.9167i | 0.0808739 | − | 1.13762i | ||||
\(520\) | 0.317967 | + | 0.374340i | 0.0139438 | + | 0.0164159i | ||||
\(521\) | −11.2986 | − | 0.612591i | −0.494999 | − | 0.0268381i | −0.195050 | − | 0.980793i | \(-0.562487\pi\) |
−0.299949 | + | 0.953955i | \(0.596970\pi\) | |||||||
\(522\) | 5.64653 | − | 3.55748i | 0.247142 | − | 0.155707i | ||||
\(523\) | −14.9366 | + | 11.3545i | −0.653132 | + | 0.496498i | −0.878479 | − | 0.477781i | \(-0.841441\pi\) |
0.225348 | + | 0.974278i | \(0.427648\pi\) | |||||||
\(524\) | −1.33215 | + | 1.26188i | −0.0581954 | + | 0.0551256i | ||||
\(525\) | 10.4329 | − | 35.2657i | 0.455328 | − | 1.53912i | ||||
\(526\) | −13.6132 | − | 3.77969i | −0.593564 | − | 0.164802i | ||||
\(527\) | 21.2264 | − | 9.82036i | 0.924635 | − | 0.427782i | ||||
\(528\) | 4.59327 | − | 8.32278i | 0.199897 | − | 0.362203i | ||||
\(529\) | 7.25723 | − | 1.59744i | 0.315532 | − | 0.0694538i | ||||
\(530\) | 4.72992 | 0.205454 | ||||||||
\(531\) | −3.40317 | − | 22.7908i | −0.147685 | − | 0.989034i | ||||
\(532\) | −1.12913 | −0.0489538 | ||||||||
\(533\) | 5.58229 | − | 1.22875i | 0.241796 | − | 0.0532233i | ||||
\(534\) | −5.78332 | + | 10.4791i | −0.250269 | + | 0.453474i | ||||
\(535\) | 3.65045 | − | 1.68888i | 0.157823 | − | 0.0730166i | ||||
\(536\) | 4.41879 | + | 1.22687i | 0.190863 | + | 0.0529928i | ||||
\(537\) | 4.10869 | − | 13.8884i | 0.177303 | − | 0.599328i | ||||
\(538\) | −14.1490 | + | 13.4026i | −0.610006 | + | 0.577828i | ||||
\(539\) | −84.7311 | + | 64.4109i | −3.64963 | + | 2.77438i | ||||
\(540\) | 4.72114 | − | 1.05777i | 0.203166 | − | 0.0455192i | ||||
\(541\) | 24.7961 | + | 1.34440i | 1.06607 | + | 0.0578004i | 0.578813 | − | 0.815460i | \(-0.303516\pi\) |
0.487253 | + | 0.873261i | \(0.337999\pi\) | |||||||
\(542\) | −9.66099 | − | 11.3738i | −0.414975 | − | 0.488546i | ||||
\(543\) | −3.05243 | + | 42.9372i | −0.130992 | + | 1.84261i | ||||
\(544\) | 0.891960 | + | 2.64724i | 0.0382425 | + | 0.113500i | ||||
\(545\) | −2.83849 | + | 4.18645i | −0.121587 | + | 0.179328i | ||||
\(546\) | −3.28469 | + | 3.35291i | −0.140572 | + | 0.143491i | ||||
\(547\) | −13.3588 | + | 15.7272i | −0.571182 | + | 0.672448i | −0.969583 | − | 0.244764i | \(-0.921290\pi\) |
0.398400 | + | 0.917212i | \(0.369565\pi\) | |||||||
\(548\) | 13.8737 | − | 14.6463i | 0.592657 | − | 0.625660i | ||||
\(549\) | 18.9257 | − | 18.6802i | 0.807729 | − | 0.797250i | ||||
\(550\) | −8.39608 | − | 21.0726i | −0.358010 | − | 0.898538i | ||||
\(551\) | −0.482493 | + | 0.0791007i | −0.0205549 | + | 0.00336980i | ||||
\(552\) | −2.40109 | − | 9.24812i | −0.102197 | − | 0.393626i | ||||
\(553\) | 8.29759 | + | 6.30767i | 0.352850 | + | 0.268229i | ||||
\(554\) | −3.57393 | + | 0.388688i | −0.151842 | + | 0.0165138i | ||||
\(555\) | −1.38138 | − | 9.41442i | −0.0586363 | − | 0.399620i | ||||
\(556\) | 7.05071 | + | 4.24227i | 0.299017 | + | 0.179912i | ||||
\(557\) | −12.5678 | − | 20.8878i | −0.532513 | − | 0.885044i | −0.999999 | − | 0.00104378i | \(-0.999668\pi\) |
0.467486 | − | 0.884000i | \(-0.345160\pi\) | |||||||
\(558\) | 9.77440 | + | 23.1372i | 0.413783 | + | 0.979477i | ||||
\(559\) | −1.58108 | + | 3.96822i | −0.0668727 | + | 0.167838i | ||||
\(560\) | 1.02830 | − | 4.67162i | 0.0434537 | − | 0.197412i | ||||
\(561\) | 14.0711 | − | 22.5207i | 0.594081 | − | 0.950824i | ||||
\(562\) | 10.9328 | + | 4.35601i | 0.461170 | + | 0.183747i | ||||
\(563\) | −16.3227 | + | 30.7878i | −0.687919 | + | 1.29755i | 0.255777 | + | 0.966736i | \(0.417669\pi\) |
−0.943695 | + | 0.330816i | \(0.892676\pi\) | |||||||
\(564\) | −9.55579 | + | 1.93562i | −0.402371 | + | 0.0815043i | ||||
\(565\) | 0.844704 | − | 1.40391i | 0.0355370 | − | 0.0590629i | ||||
\(566\) | −6.27057 | + | 3.32445i | −0.263572 | + | 0.139737i | ||||
\(567\) | 14.1900 | + | 44.0050i | 0.595922 | + | 1.84804i | ||||
\(568\) | −9.74629 | + | 12.8210i | −0.408945 | + | 0.537958i | ||||
\(569\) | 10.0475 | + | 14.8190i | 0.421214 | + | 0.621244i | 0.977799 | − | 0.209547i | \(-0.0671989\pi\) |
−0.556585 | + | 0.830791i | \(0.687889\pi\) | |||||||
\(570\) | −0.348774 | − | 0.0632148i | −0.0146085 | − | 0.00264778i | ||||
\(571\) | 28.3344 | − | 11.2895i | 1.18576 | − | 0.472450i | 0.307924 | − | 0.951411i | \(-0.400366\pi\) |
0.877836 | + | 0.478961i | \(0.158987\pi\) | |||||||
\(572\) | −0.313014 | + | 2.87812i | −0.0130878 | + | 0.120340i | ||||
\(573\) | −6.69531 | − | 13.1584i | −0.279701 | − | 0.549699i | ||||
\(574\) | −42.4284 | − | 36.0390i | −1.77093 | − | 1.50424i | ||||
\(575\) | −20.6923 | − | 9.57329i | −0.862930 | − | 0.399234i | ||||
\(576\) | −2.87354 | + | 0.861825i | −0.119731 | + | 0.0359094i | ||||
\(577\) | −19.2312 | + | 6.47975i | −0.800606 | + | 0.269755i | −0.689719 | − | 0.724078i | \(-0.742266\pi\) |
−0.110887 | + | 0.993833i | \(0.535369\pi\) | |||||||
\(578\) | −2.46033 | − | 8.86130i | −0.102336 | − | 0.368582i | ||||
\(579\) | −7.34389 | − | 19.3724i | −0.305202 | − | 0.805089i | ||||
\(580\) | 0.112140 | − | 2.06829i | 0.00465634 | − | 0.0858812i | ||||
\(581\) | −50.9439 | − | 17.1650i | −2.11351 | − | 0.712125i | ||||
\(582\) | 3.52141 | + | 11.0622i | 0.145967 | + | 0.458541i | ||||
\(583\) | 19.1732 | + | 20.2409i | 0.794073 | + | 0.838293i | ||||
\(584\) | −0.647404 | + | 0.0351012i | −0.0267898 | + | 0.00145250i | ||||
\(585\) | −1.20232 | + | 0.851781i | −0.0497098 | + | 0.0352168i | ||||
\(586\) | 1.87025 | + | 4.04248i | 0.0772593 | + | 0.166993i | ||||
\(587\) | 5.49327 | − | 33.5075i | 0.226731 | − | 1.38300i | −0.590661 | − | 0.806920i | \(-0.701133\pi\) |
0.817393 | − | 0.576081i | \(-0.195419\pi\) | |||||||
\(588\) | 33.3263 | + | 4.19224i | 1.37435 | + | 0.172885i | ||||
\(589\) | − | 1.84014i | − | 0.0758215i | ||||||
\(590\) | −6.38248 | − | 3.22721i | −0.262763 | − | 0.132862i | ||||
\(591\) | −2.20609 | + | 6.20104i | −0.0907463 | + | 0.255076i | ||||
\(592\) | 1.26834 | + | 5.76213i | 0.0521285 | + | 0.236822i | ||||
\(593\) | −14.4418 | − | 2.36761i | −0.593052 | − | 0.0972260i | −0.142221 | − | 0.989835i | \(-0.545424\pi\) |
−0.450832 | + | 0.892609i | \(0.648873\pi\) | |||||||
\(594\) | 23.6642 | + | 15.9156i | 0.970955 | + | 0.653025i | ||||
\(595\) | 3.57483 | − | 12.8754i | 0.146554 | − | 0.527840i | ||||
\(596\) | 0.815980 | + | 15.0499i | 0.0334239 | + | 0.616467i | ||||
\(597\) | −15.6348 | + | 6.91687i | −0.639891 | + | 0.283089i | ||||
\(598\) | 1.76099 | + | 2.31654i | 0.0720121 | + | 0.0947303i | ||||
\(599\) | 5.00285 | − | 14.8479i | 0.204411 | − | 0.606670i | −0.795589 | − | 0.605837i | \(-0.792838\pi\) |
1.00000 | 0.000833131i | \(-0.000265194\pi\) | ||||||||
\(600\) | −2.76106 | + | 6.60473i | −0.112720 | + | 0.269637i | ||||
\(601\) | −9.59918 | + | 8.15362i | −0.391559 | + | 0.332593i | −0.821443 | − | 0.570291i | \(-0.806830\pi\) |
0.429884 | + | 0.902884i | \(0.358554\pi\) | |||||||
\(602\) | 40.0856 | − | 11.1297i | 1.63377 | − | 0.453613i | ||||
\(603\) | −4.82855 | + | 12.8827i | −0.196634 | + | 0.524623i | ||||
\(604\) | −0.312059 | − | 0.211581i | −0.0126975 | − | 0.00860912i | ||||
\(605\) | −7.47610 | + | 16.1593i | −0.303947 | + | 0.656970i | ||||
\(606\) | 0.777636 | − | 0.450265i | 0.0315893 | − | 0.0182908i | ||||
\(607\) | −3.88631 | − | 3.68131i | −0.157740 | − | 0.149420i | 0.604759 | − | 0.796408i | \(-0.293269\pi\) |
−0.762499 | + | 0.646989i | \(0.776028\pi\) | |||||||
\(608\) | 0.218498 | + | 0.0237631i | 0.00886128 | + | 0.000963722i | ||||
\(609\) | 19.7809 | − | 0.739353i | 0.801564 | − | 0.0299601i | ||||
\(610\) | −1.33524 | − | 8.14461i | −0.0540624 | − | 0.329766i | ||||
\(611\) | 2.45767 | − | 1.66634i | 0.0994265 | − | 0.0674128i | ||||
\(612\) | −8.14573 | + | 1.96937i | −0.329272 | + | 0.0796072i | ||||
\(613\) | −2.09607 | − | 19.2730i | −0.0846593 | − | 0.778429i | −0.957110 | − | 0.289726i | \(-0.906436\pi\) |
0.872450 | − | 0.488703i | \(-0.162530\pi\) | |||||||
\(614\) | 9.84191 | + | 18.5638i | 0.397187 | + | 0.749174i | ||||
\(615\) | −11.0880 | − | 13.5074i | −0.447111 | − | 0.544672i | ||||
\(616\) | 24.1598 | − | 14.5365i | 0.973426 | − | 0.585691i | ||||
\(617\) | −5.71187 | − | 3.02824i | −0.229951 | − | 0.121912i | 0.349450 | − | 0.936955i | \(-0.386369\pi\) |
−0.579401 | + | 0.815043i | \(0.696713\pi\) | |||||||
\(618\) | 1.69846 | + | 1.49254i | 0.0683220 | + | 0.0600387i | ||||
\(619\) | −26.4037 | − | 5.81189i | −1.06125 | − | 0.233600i | −0.350155 | − | 0.936692i | \(-0.613871\pi\) |
−0.711099 | + | 0.703092i | \(0.751802\pi\) | |||||||
\(620\) | 7.61335 | + | 1.67582i | 0.305759 | + | 0.0673027i | ||||
\(621\) | 28.2690 | − | 4.74334i | 1.13440 | − | 0.190344i | ||||
\(622\) | 2.06051 | + | 1.09241i | 0.0826187 | + | 0.0438017i | ||||
\(623\) | −30.4192 | + | 18.3026i | −1.21872 | + | 0.733280i | ||||
\(624\) | 0.706189 | − | 0.579697i | 0.0282702 | − | 0.0232065i | ||||
\(625\) | 5.97087 | + | 11.2622i | 0.238835 | + | 0.450490i | ||||
\(626\) | −0.663973 | − | 6.10513i | −0.0265377 | − | 0.244010i | ||||
\(627\) | −1.14328 | − | 1.74877i | −0.0456580 | − | 0.0698392i | ||||
\(628\) | 7.44720 | − | 5.04933i | 0.297176 | − | 0.201490i | ||||
\(629\) | 2.66644 | + | 16.2646i | 0.106318 | + | 0.648511i | ||||
\(630\) | 13.6905 | + | 4.30163i | 0.545442 | + | 0.171381i | ||||
\(631\) | −29.2584 | − | 3.18204i | −1.16476 | − | 0.126675i | −0.494754 | − | 0.869033i | \(-0.664742\pi\) |
−0.670003 | + | 0.742358i | \(0.733707\pi\) | |||||||
\(632\) | −1.47293 | − | 1.39523i | −0.0585899 | − | 0.0554993i | ||||
\(633\) | −8.38332 | − | 14.4785i | −0.333207 | − | 0.575470i | ||||
\(634\) | 1.53975 | − | 3.32812i | 0.0611513 | − | 0.132176i | ||||
\(635\) | −3.34031 | − | 2.26479i | −0.132556 | − | 0.0898753i | ||||
\(636\) | 0.147860 | − | 8.79735i | 0.00586302 | − | 0.348837i | ||||
\(637\) | −9.85661 | + | 2.73667i | −0.390533 | + | 0.108431i | ||||
\(638\) | 9.30550 | − | 7.90416i | 0.368408 | − | 0.312929i | ||||
\(639\) | −35.7518 | − | 32.4981i | −1.41432 | − | 1.28561i | ||||
\(640\) | −0.297305 | + | 0.882370i | −0.0117520 | + | 0.0348787i | ||||
\(641\) | −13.3770 | − | 17.5971i | −0.528358 | − | 0.695043i | 0.452056 | − | 0.891989i | \(-0.350691\pi\) |
−0.980414 | + | 0.196947i | \(0.936897\pi\) | |||||||
\(642\) | −3.02709 | − | 6.84241i | −0.119470 | − | 0.270048i | ||||
\(643\) | −0.0693727 | − | 1.27950i | −0.00273579 | − | 0.0504587i | 0.996847 | − | 0.0793510i | \(-0.0252848\pi\) |
−0.999583 | + | 0.0288923i | \(0.990802\pi\) | |||||||
\(644\) | 7.58173 | − | 27.3069i | 0.298762 | − | 1.07604i | ||||
\(645\) | 13.0051 | − | 1.19363i | 0.512075 | − | 0.0469990i | ||||
\(646\) | 0.605880 | + | 0.0993290i | 0.0238380 | + | 0.00390805i | ||||
\(647\) | 5.81908 | + | 26.4363i | 0.228772 | + | 1.03932i | 0.941272 | + | 0.337648i | \(0.109631\pi\) |
−0.712501 | + | 0.701671i | \(0.752438\pi\) | |||||||
\(648\) | −1.81980 | − | 8.81410i | −0.0714886 | − | 0.346250i | ||||
\(649\) | −12.0617 | − | 40.3947i | −0.473465 | − | 1.58563i | ||||
\(650\) | − | 2.18015i | − | 0.0855126i | ||||||
\(651\) | −9.29823 | + | 73.9164i | −0.364426 | + | 2.89701i | ||||
\(652\) | 1.31801 | − | 8.03952i | 0.0516174 | − | 0.314852i | ||||
\(653\) | 13.1615 | + | 28.4481i | 0.515049 | + | 1.11326i | 0.974362 | + | 0.224985i | \(0.0722335\pi\) |
−0.459313 | + | 0.888274i | \(0.651904\pi\) | |||||||
\(654\) | 7.69781 | + | 5.41028i | 0.301008 | + | 0.211559i | ||||
\(655\) | −1.70602 | + | 0.0924977i | −0.0666597 | + | 0.00361419i | ||||
\(656\) | 7.45190 | + | 7.86688i | 0.290948 | + | 0.307150i | ||||
\(657\) | 0.0653642 | − | 1.94397i | 0.00255010 | − | 0.0758413i | ||||
\(658\) | −27.4049 | − | 9.23378i | −1.06835 | − | 0.359970i | ||||
\(659\) | 1.43762 | − | 26.5153i | 0.0560017 | − | 1.03289i | −0.826606 | − | 0.562781i | \(-0.809732\pi\) |
0.882608 | − | 0.470110i | \(-0.155786\pi\) | |||||||
\(660\) | 8.27652 | − | 3.13755i | 0.322163 | − | 0.122129i | ||||
\(661\) | 0.305649 | + | 1.10085i | 0.0118884 | + | 0.0428181i | 0.969256 | − | 0.246053i | \(-0.0791338\pi\) |
−0.957368 | + | 0.288871i | \(0.906720\pi\) | |||||||
\(662\) | 17.9680 | − | 6.05411i | 0.698345 | − | 0.235300i | ||||
\(663\) | 2.05750 | − | 1.51019i | 0.0799065 | − | 0.0586510i | ||||
\(664\) | 9.49697 | + | 4.39376i | 0.368554 | + | 0.170511i | ||||
\(665\) | −0.801292 | − | 0.680623i | −0.0310728 | − | 0.0263934i | ||||
\(666\) | −17.5534 | + | 2.27498i | −0.680181 | + | 0.0881536i | ||||
\(667\) | 1.32681 | − | 12.1998i | 0.0513743 | − | 0.472378i | ||||
\(668\) | 2.18440 | − | 0.870343i | 0.0845168 | − | 0.0336746i | ||||
\(669\) | −3.18490 | + | 17.5720i | −0.123135 | + | 0.679373i | ||||
\(670\) | 2.39628 | + | 3.53425i | 0.0925764 | + | 0.136540i | ||||
\(671\) | 29.4410 | − | 38.7290i | 1.13656 | − | 1.49512i | ||||
\(672\) | −8.65678 | − | 2.05861i | −0.333942 | − | 0.0794128i | ||||
\(673\) | 21.6114 | − | 11.4576i | 0.833059 | − | 0.441660i | 0.00344252 | − | 0.999994i | \(-0.498904\pi\) |
0.829616 | + | 0.558334i | \(0.188559\pi\) | |||||||
\(674\) | 18.2414 | − | 30.3175i | 0.702634 | − | 1.16779i | ||||
\(675\) | −19.0118 | − | 9.98829i | −0.731763 | − | 0.384450i | ||||
\(676\) | 5.95897 | − | 11.2398i | 0.229191 | − | 0.432301i | ||||
\(677\) | 20.7626 | + | 8.27258i | 0.797972 | + | 0.317941i | 0.733247 | − | 0.679962i | \(-0.238004\pi\) |
0.0647246 | + | 0.997903i | \(0.479383\pi\) | |||||||
\(678\) | −2.58478 | − | 1.61498i | −0.0992677 | − | 0.0620231i | ||||
\(679\) | −7.40216 | + | 33.6283i | −0.284069 | + | 1.29054i | ||||
\(680\) | −0.962740 | + | 2.41630i | −0.0369194 | + | 0.0926607i | ||||
\(681\) | −0.160730 | + | 0.147206i | −0.00615918 | + | 0.00564096i | ||||
\(682\) | 23.6901 | + | 39.3732i | 0.907140 | + | 1.50768i | ||||
\(683\) | 9.47917 | + | 5.70343i | 0.362710 | + | 0.218236i | 0.685229 | − | 0.728327i | \(-0.259702\pi\) |
−0.322519 | + | 0.946563i | \(0.604530\pi\) | |||||||
\(684\) | −0.128478 | + | 0.646722i | −0.00491249 | + | 0.0247280i | ||||
\(685\) | 18.6742 | − | 2.03094i | 0.713505 | − | 0.0775984i | ||||
\(686\) | 50.6834 | + | 38.5285i | 1.93510 | + | 1.47103i | ||||
\(687\) | −9.03952 | + | 2.34693i | −0.344879 | + | 0.0895409i | ||||
\(688\) | −7.99123 | + | 1.31010i | −0.304663 | + | 0.0499469i | ||||
\(689\) | 0.991823 | + | 2.48929i | 0.0377854 | + | 0.0948343i | ||||
\(690\) | 3.87071 | − | 8.01034i | 0.147355 | − | 0.304948i | ||||
\(691\) | −2.09981 | + | 2.21674i | −0.0798806 | + | 0.0843289i | −0.764710 | − | 0.644374i | \(-0.777118\pi\) |
0.684830 | + | 0.728703i | \(0.259877\pi\) | |||||||
\(692\) | −9.71131 | + | 11.4330i | −0.369169 | + | 0.434619i | ||||
\(693\) | 37.0877 | + | 76.0233i | 1.40884 | + | 2.88789i | ||||
\(694\) | −7.62301 | + | 11.2431i | −0.289365 | + | 0.426782i | ||||
\(695\) | 2.44640 | + | 7.26064i | 0.0927971 | + | 0.275412i | ||||
\(696\) | −3.84339 | − | 0.273229i | −0.145683 | − | 0.0103567i | ||||
\(697\) | 19.5964 | + | 23.0707i | 0.742267 | + | 0.873864i | ||||
\(698\) | −6.59651 | − | 0.357652i | −0.249682 | − | 0.0135373i | ||||
\(699\) | −17.8619 | − | 14.0581i | −0.675597 | − | 0.531724i | ||||
\(700\) | −16.9034 | + | 12.8496i | −0.638888 | + | 0.485670i | ||||
\(701\) | −15.4366 | + | 14.6223i | −0.583033 | + | 0.552278i | −0.921340 | − | 0.388758i | \(-0.872904\pi\) |
0.338307 | + | 0.941036i | \(0.390146\pi\) | |||||||
\(702\) | 1.54667 | + | 2.26287i | 0.0583754 | + | 0.0854064i | ||||
\(703\) | 1.24949 | + | 0.346920i | 0.0471255 | + | 0.0130843i | ||||
\(704\) | −4.98112 | + | 2.30451i | −0.187733 | + | 0.0868545i | ||||
\(705\) | −7.94810 | − | 4.38649i | −0.299343 | − | 0.165205i | ||||
\(706\) | 29.4931 | − | 6.49192i | 1.10999 | − | 0.244327i | ||||
\(707\) | 2.66526 | 0.100237 | ||||||||
\(708\) | −6.20193 | + | 11.7701i | −0.233083 | + | 0.442349i | ||||
\(709\) | −11.9948 | −0.450473 | −0.225236 | − | 0.974304i | \(-0.572315\pi\) | ||||
−0.225236 | + | 0.974304i | \(0.572315\pi\) | |||||||
\(710\) | −14.6449 | + | 3.22358i | −0.549612 | + | 0.120979i | ||||
\(711\) | 4.55695 | − | 4.03484i | 0.170899 | − | 0.151318i | ||||
\(712\) | 6.27165 | − | 2.90157i | 0.235040 | − | 0.108741i | ||||
\(713\) | 44.5021 | + | 12.3560i | 1.66662 | + | 0.462734i | ||||
\(714\) | −23.8357 | − | 7.05146i | −0.892027 | − | 0.263894i | ||||
\(715\) | −1.95703 | + | 1.85379i | −0.0731887 | + | 0.0693280i | ||||
\(716\) | −6.65692 | + | 5.06046i | −0.248781 | + | 0.189118i | ||||
\(717\) | 21.4244 | − | 27.2214i | 0.800110 | − | 1.01660i | ||||
\(718\) | −14.5229 | − | 0.787411i | −0.541991 | − | 0.0293859i | ||||
\(719\) | 9.35967 | + | 11.0191i | 0.349057 | + | 0.410941i | 0.908472 | − | 0.417946i | \(-0.137250\pi\) |
−0.559415 | + | 0.828888i | \(0.688974\pi\) | |||||||
\(720\) | −2.55873 | − | 1.12054i | −0.0953582 | − | 0.0417600i | ||||
\(721\) | 2.14139 | + | 6.35541i | 0.0797494 | + | 0.236688i | ||||
\(722\) | −10.6354 | + | 15.6861i | −0.395810 | + | 0.583777i | ||||
\(723\) | −27.4679 | − | 26.9090i | −1.02154 | − | 1.00076i | ||||
\(724\) | 16.0891 | − | 18.9415i | 0.597946 | − | 0.703957i | ||||
\(725\) | −6.32290 | + | 6.67500i | −0.234827 | + | 0.247903i | ||||
\(726\) | 29.8216 | + | 14.4102i | 1.10678 | + | 0.534814i | ||||
\(727\) | −11.9235 | − | 29.9258i | −0.442220 | − | 1.10989i | −0.966117 | − | 0.258106i | \(-0.916902\pi\) |
0.523897 | − | 0.851782i | \(-0.324478\pi\) | |||||||
\(728\) | 2.67424 | − | 0.438419i | 0.0991137 | − | 0.0162489i | ||||
\(729\) | 26.8191 | − | 3.12034i | 0.993300 | − | 0.115568i | ||||
\(730\) | −0.480593 | − | 0.365338i | −0.0177876 | − | 0.0135217i | ||||
\(731\) | −22.4887 | + | 2.44579i | −0.831774 | + | 0.0904609i | ||||
\(732\) | −15.1902 | + | 2.22886i | −0.561446 | + | 0.0823810i | ||||
\(733\) | 7.43546 | + | 4.47377i | 0.274635 | + | 0.165242i | 0.646208 | − | 0.763161i | \(-0.276354\pi\) |
−0.371573 | + | 0.928404i | \(0.621181\pi\) | |||||||
\(734\) | 2.08439 | + | 3.46429i | 0.0769363 | + | 0.127869i | ||||
\(735\) | 21.1232 | + | 23.0637i | 0.779140 | + | 0.850718i | ||||
\(736\) | −2.04184 | + | 5.12463i | −0.0752632 | + | 0.188896i | ||||
\(737\) | −5.41068 | + | 24.5810i | −0.199305 | + | 0.905451i | ||||
\(738\) | −25.4696 | + | 20.2007i | −0.937548 | + | 0.743598i | ||||
\(739\) | −22.7054 | − | 9.04666i | −0.835232 | − | 0.332787i | −0.0869869 | − | 0.996209i | \(-0.527724\pi\) |
−0.748245 | + | 0.663423i | \(0.769103\pi\) | |||||||
\(740\) | −2.57326 | + | 4.85368i | −0.0945948 | + | 0.178425i | ||||
\(741\) | −0.0398659 | − | 0.196811i | −0.00146451 | − | 0.00723002i | ||||
\(742\) | 13.4545 | − | 22.3615i | 0.493930 | − | 0.820918i | ||||
\(743\) | −33.1601 | + | 17.5804i | −1.21653 | + | 0.644961i | −0.947987 | − | 0.318308i | \(-0.896885\pi\) |
−0.268538 | + | 0.963269i | \(0.586541\pi\) | |||||||
\(744\) | 3.35492 | − | 14.1080i | 0.122998 | − | 0.517223i | ||||
\(745\) | −8.49282 | + | 11.1721i | −0.311153 | + | 0.409314i | ||||
\(746\) | 0.0758274 | + | 0.111837i | 0.00277624 | + | 0.00409464i | ||||
\(747\) | −15.6282 | + | 27.2257i | −0.571805 | + | 0.996136i | ||||
\(748\) | −14.2427 | + | 5.67482i | −0.520766 | + | 0.207492i | ||||
\(749\) | 2.39942 | − | 22.0623i | 0.0876728 | − | 0.806138i | ||||
\(750\) | −13.1275 | + | 6.67958i | −0.479347 | + | 0.243904i | ||||
\(751\) | −1.38291 | − | 1.17466i | −0.0504633 | − | 0.0428639i | 0.621800 | − | 0.783176i | \(-0.286402\pi\) |
−0.672263 | + | 0.740312i | \(0.734678\pi\) | |||||||
\(752\) | 5.10882 | + | 2.36359i | 0.186299 | + | 0.0861913i | ||||
\(753\) | −23.3162 | − | 31.7661i | −0.849688 | − | 1.15762i | ||||
\(754\) | 1.11203 | − | 0.374686i | 0.0404977 | − | 0.0136453i | ||||
\(755\) | −0.0939162 | − | 0.338256i | −0.00341796 | − | 0.0123104i | ||||
\(756\) | 8.42873 | − | 25.3290i | 0.306550 | − | 0.921205i | ||||
\(757\) | −2.39228 | + | 44.1231i | −0.0869490 | + | 1.60368i | 0.551607 | + | 0.834104i | \(0.314015\pi\) |
−0.638556 | + | 0.769576i | \(0.720468\pi\) | |||||||
\(758\) | −9.21280 | − | 3.10415i | −0.334624 | − | 0.112748i | ||||
\(759\) | 49.9693 | − | 15.9067i | 1.81377 | − | 0.577376i | ||||
\(760\) | 0.140735 | + | 0.148572i | 0.00510499 | + | 0.00538927i | ||||
\(761\) | 28.4295 | − | 1.54140i | 1.03057 | − | 0.0558758i | 0.468911 | − | 0.883245i | \(-0.344647\pi\) |
0.561658 | + | 0.827370i | \(0.310164\pi\) | |||||||
\(762\) | −4.31678 | + | 6.14197i | −0.156380 | + | 0.222500i | ||||
\(763\) | 11.7180 | + | 25.3280i | 0.424220 | + | 0.916937i | ||||
\(764\) | −1.37901 | + | 8.41160i | −0.0498909 | + | 0.304321i | ||||
\(765\) | −6.96779 | − | 3.51257i | −0.251921 | − | 0.126997i | ||||
\(766\) | 19.1215i | 0.690887i | ||||||||
\(767\) | 0.360084 | − | 4.03573i | 0.0130019 | − | 0.145722i | ||||
\(768\) | 1.63186 | + | 0.580552i | 0.0588846 | + | 0.0209489i | ||||
\(769\) | −2.13922 | − | 9.71857i | −0.0771422 | − | 0.350461i | 0.922200 | − | 0.386712i | \(-0.126389\pi\) |
−0.999343 | + | 0.0362514i | \(0.988458\pi\) | |||||||
\(770\) | 25.9076 | + | 4.24733i | 0.933644 | + | 0.153063i | ||||
\(771\) | −2.28868 | − | 24.9362i | −0.0824249 | − | 0.898056i | ||||
\(772\) | −3.20000 | + | 11.5254i | −0.115171 | + | 0.414807i | ||||
\(773\) | 2.09576 | + | 38.6540i | 0.0753792 | + | 1.39029i | 0.754519 | + | 0.656279i | \(0.227870\pi\) |
−0.679139 | + | 0.734009i | \(0.737647\pi\) | |||||||
\(774\) | −1.81352 | − | 24.2259i | −0.0651857 | − | 0.870784i | ||||
\(775\) | −20.9410 | − | 27.5475i | −0.752224 | − | 0.989534i | ||||
\(776\) | 2.14013 | − | 6.35167i | 0.0768261 | − | 0.228012i | ||||
\(777\) | −48.4378 | − | 20.2491i | −1.73770 | − | 0.726432i | ||||
\(778\) | 11.1452 | − | 9.46680i | 0.399574 | − | 0.339401i | ||||
\(779\) | 2.29480 | − | 0.637147i | 0.0822196 | − | 0.0228282i | ||||
\(780\) | 0.850586 | + | 0.0142961i | 0.0304559 | + | 0.000511882i | ||||
\(781\) | −73.1594 | − | 49.6033i | −2.61785 | − | 1.77494i | ||||
\(782\) | −6.47048 | + | 13.9857i | −0.231384 | + | 0.500128i | ||||
\(783\) | 1.82731 | − | 11.4139i | 0.0653028 | − | 0.407900i | ||||
\(784\) | −14.0789 | − | 13.3363i | −0.502818 | − | 0.476295i | ||||
\(785\) | 8.32863 | + | 0.905794i | 0.297262 | + | 0.0323292i | ||||
\(786\) | 0.118709 | + | 3.17598i | 0.00423420 | + | 0.113284i | ||||
\(787\) | −4.32094 | − | 26.3566i | −0.154025 | − | 0.939510i | −0.944859 | − | 0.327479i | \(-0.893801\pi\) |
0.790834 | − | 0.612031i | \(-0.209647\pi\) | |||||||
\(788\) | 3.14521 | − | 2.13250i | 0.112043 | − | 0.0759673i | ||||
\(789\) | −20.4821 | + | 13.3903i | −0.729181 | + | 0.476709i | ||||
\(790\) | −0.204245 | − | 1.87800i | −0.00726670 | − | 0.0668162i | ||||
\(791\) | −4.23443 | − | 7.98698i | −0.150559 | − | 0.283984i | ||||
\(792\) | −5.57692 | − | 15.4919i | −0.198167 | − | 0.550480i | ||||
\(793\) | 4.00641 | − | 2.41057i | 0.142272 | − | 0.0856020i | ||||
\(794\) | −26.0997 | − | 13.8372i | −0.926245 | − | 0.491064i | ||||
\(795\) | 5.40786 | − | 6.15397i | 0.191797 | − | 0.218259i | ||||
\(796\) | 9.63990 | + | 2.12190i | 0.341677 | + | 0.0752089i | ||||
\(797\) | −42.7404 | − | 9.40787i | −1.51394 | − | 0.333244i | −0.621143 | − | 0.783697i | \(-0.713331\pi\) |
−0.892800 | + | 0.450453i | \(0.851262\pi\) | |||||||
\(798\) | −1.29097 | + | 1.46908i | −0.0456997 | + | 0.0520047i | ||||
\(799\) | 13.8929 | + | 7.36557i | 0.491497 | + | 0.260575i | ||||
\(800\) | 3.54142 | − | 2.13080i | 0.125208 | − | 0.0753352i | ||||
\(801\) | 7.02181 | + | 19.5056i | 0.248103 | + | 0.689196i | ||||
\(802\) | −3.97320 | − | 7.49425i | −0.140299 | − | 0.264631i | ||||
\(803\) | −0.384732 | − | 3.53756i | −0.0135769 | − | 0.124838i | ||||
\(804\) | 6.64839 | − | 4.34645i | 0.234471 | − | 0.153287i | ||||
\(805\) | 21.8407 | − | 14.8084i | 0.769784 | − | 0.521927i | ||||
\(806\) | 0.714491 | + | 4.35820i | 0.0251669 | + | 0.153511i | ||||
\(807\) | 1.26082 | + | 33.7325i | 0.0443830 | + | 1.18744i | ||||
\(808\) | −0.515758 | − | 0.0560920i | −0.0181443 | − | 0.00197331i | ||||
\(809\) | 0.977241 | + | 0.925692i | 0.0343580 | + | 0.0325456i | 0.704686 | − | 0.709519i | \(-0.251088\pi\) |
−0.670328 | + | 0.742065i | \(0.733847\pi\) | |||||||
\(810\) | 4.02160 | − | 7.35194i | 0.141305 | − | 0.258321i | ||||
\(811\) | 5.40429 | − | 11.6812i | 0.189770 | − | 0.410181i | −0.789214 | − | 0.614118i | \(-0.789512\pi\) |
0.978984 | + | 0.203937i | \(0.0653738\pi\) | |||||||
\(812\) | −9.45925 | − | 6.41353i | −0.331954 | − | 0.225071i | ||||
\(813\) | −25.8439 | − | 0.434366i | −0.906384 | − | 0.0152339i | ||||
\(814\) | −31.2015 | + | 8.66306i | −1.09361 | + | 0.303640i | ||||
\(815\) | 5.78146 | − | 4.91082i | 0.202516 | − | 0.172019i | ||||
\(816\) | 4.46406 | + | 1.86617i | 0.156273 | + | 0.0653291i | ||||
\(817\) | −0.568297 | + | 1.68665i | −0.0198822 | + | 0.0590083i | ||||
\(818\) | 20.2996 | + | 26.7036i | 0.709758 | + | 0.933670i | ||||
\(819\) | 0.606888 | + | 8.10712i | 0.0212064 | + | 0.283286i | ||||
\(820\) | 0.546234 | + | 10.0747i | 0.0190753 | + | 0.351824i | ||||
\(821\) | 4.77370 | − | 17.1933i | 0.166603 | − | 0.600051i | −0.832347 | − | 0.554254i | \(-0.813004\pi\) |
0.998951 | − | 0.0457969i | \(-0.0145827\pi\) | |||||||
\(822\) | −3.19366 | − | 34.7964i | −0.111392 | − | 1.21366i | ||||
\(823\) | −56.0202 | − | 9.18405i | −1.95274 | − | 0.320136i | −0.999859 | − | 0.0168018i | \(-0.994652\pi\) |
−0.952884 | − | 0.303334i | \(-0.901900\pi\) | |||||||
\(824\) | −0.280629 | − | 1.27491i | −0.00977616 | − | 0.0444135i | ||||
\(825\) | −37.0165 | − | 13.1690i | −1.28875 | − | 0.458487i | ||||
\(826\) | −33.4125 | + | 20.9944i | −1.16257 | + | 0.730488i | ||||
\(827\) | 40.1268i | 1.39534i | 0.716417 | + | 0.697672i | \(0.245781\pi\) | ||||
−0.716417 | + | 0.697672i | \(0.754219\pi\) | |||||||
\(828\) | −14.7777 | − | 7.44968i | −0.513561 | − | 0.258894i | ||||
\(829\) | −2.94715 | + | 17.9768i | −0.102359 | + | 0.624360i | 0.884967 | + | 0.465653i | \(0.154181\pi\) |
−0.987326 | + | 0.158707i | \(0.949268\pi\) | |||||||
\(830\) | 4.09108 | + | 8.84272i | 0.142003 | + | 0.306935i | ||||
\(831\) | −3.58048 | + | 5.09435i | −0.124205 | + | 0.176721i | ||||
\(832\) | −0.526721 | + | 0.0285580i | −0.0182608 | + | 0.000990070i | ||||
\(833\) | −37.2545 | − | 39.3291i | −1.29079 | − | 1.36267i | ||||
\(834\) | 13.5808 | − | 4.32317i | 0.470265 | − | 0.149699i | ||||
\(835\) | 2.07480 | + | 0.699083i | 0.0718016 | + | 0.0241928i | ||||
\(836\) | −0.0653063 | + | 1.20450i | −0.00225866 | + | 0.0416586i | ||||
\(837\) | 41.2786 | + | 13.7363i | 1.42680 | + | 0.474796i | ||||
\(838\) | −7.61356 | − | 27.4216i | −0.263006 | − | 0.947262i | ||||
\(839\) | −30.9772 | + | 10.4374i | −1.06945 | + | 0.360341i | −0.798340 | − | 0.602207i | \(-0.794288\pi\) |
−0.271113 | + | 0.962548i | \(0.587392\pi\) | |||||||
\(840\) | −4.90243 | − | 6.67911i | −0.169150 | − | 0.230451i | ||||
\(841\) | 21.8283 | + | 10.0989i | 0.752700 | + | 0.348236i | ||||
\(842\) | −28.6832 | − | 24.3637i | −0.988488 | − | 0.839629i | ||||
\(843\) | 18.1672 | − | 9.24395i | 0.625713 | − | 0.318379i | ||||
\(844\) | −1.04436 | + | 9.60270i | −0.0359482 | + | 0.330539i | ||||
\(845\) | 11.0041 | − | 4.38442i | 0.378551 | − | 0.150829i | ||||
\(846\) | −8.40705 | + | 14.6458i | −0.289040 | + | 0.503534i | ||||
\(847\) | 55.1300 | + | 81.3107i | 1.89429 | + | 2.79387i | ||||
\(848\) | −3.07420 | + | 4.04405i | −0.105569 | + | 0.138873i | ||||
\(849\) | −2.84400 | + | 11.9594i | −0.0976057 | + | 0.410446i | ||||
\(850\) | 10.2006 | − | 5.40802i | 0.349878 | − | 0.185493i | ||||
\(851\) | −16.7799 | + | 27.8884i | −0.575208 | + | 0.956002i | ||||
\(852\) | 5.53785 | + | 27.3393i | 0.189724 | + | 0.936630i | ||||
\(853\) | 12.8412 | − | 24.2210i | 0.439674 | − | 0.829312i | −0.560326 | − | 0.828272i | \(-0.689324\pi\) |
0.999999 | − | 0.00104015i | \(-0.000331090\pi\) | |||||||
\(854\) | −42.3033 | − | 16.8552i | −1.44759 | − | 0.576772i | ||||
\(855\) | −0.481012 | + | 0.381505i | −0.0164503 | + | 0.0130472i | ||||
\(856\) | −0.928628 | + | 4.21880i | −0.0317399 | + | 0.144196i | ||||
\(857\) | −10.1465 | + | 25.4657i | −0.346596 | + | 0.869892i | 0.647567 | + | 0.762008i | \(0.275787\pi\) |
−0.994164 | + | 0.107883i | \(0.965593\pi\) | |||||||
\(858\) | 3.38676 | + | 3.69790i | 0.115622 | + | 0.126244i | ||||
\(859\) | 13.0679 | + | 21.7190i | 0.445871 | + | 0.741044i | 0.995540 | − | 0.0943388i | \(-0.0300737\pi\) |
−0.549669 | + | 0.835383i | \(0.685246\pi\) | |||||||
\(860\) | −6.46074 | − | 3.88730i | −0.220310 | − | 0.132556i | ||||
\(861\) | −95.3991 | + | 13.9979i | −3.25119 | + | 0.477048i | ||||
\(862\) | 28.9822 | − | 3.15200i | 0.987138 | − | 0.107358i | ||||
\(863\) | −22.6454 | − | 17.2146i | −0.770858 | − | 0.585991i | 0.144089 | − | 0.989565i | \(-0.453975\pi\) |
−0.914947 | + | 0.403574i | \(0.867768\pi\) | |||||||
\(864\) | −2.16412 | + | 4.72404i | −0.0736247 | + | 0.160715i | ||||
\(865\) | −13.7834 | + | 2.25967i | −0.468649 | + | 0.0768312i | ||||
\(866\) | 10.2266 | + | 25.6669i | 0.347515 | + | 0.872196i | ||||
\(867\) | −14.3422 | − | 6.93034i | −0.487086 | − | 0.235367i | ||||
\(868\) | 29.5793 | − | 31.2265i | 1.00399 | − | 1.05990i | ||||
\(869\) | 7.20867 | − | 8.48670i | 0.244537 | − | 0.287891i | ||||
\(870\) | −2.56279 | − | 2.51065i | −0.0868867 | − | 0.0851189i | ||||
\(871\) | −1.35755 | + | 2.00223i | −0.0459987 | + | 0.0678430i | ||||
\(872\) | −1.73452 | − | 5.14787i | −0.0587382 | − | 0.174329i | ||||
\(873\) | 18.4188 | + | 8.06611i | 0.623383 | + | 0.272996i | ||||
\(874\) | 0.784916 | + | 0.924074i | 0.0265502 | + | 0.0312573i | ||||
\(875\) | −43.6234 | − | 2.36519i | −1.47474 | − | 0.0799581i | ||||
\(876\) | −0.694528 | + | 0.882453i | −0.0234659 | + | 0.0298153i | ||||
\(877\) | 3.70301 | − | 2.81496i | 0.125042 | − | 0.0950543i | −0.540784 | − | 0.841161i | \(-0.681872\pi\) |
0.665826 | + | 0.746107i | \(0.268079\pi\) | |||||||
\(878\) | 15.1231 | − | 14.3253i | 0.510379 | − | 0.483456i | ||||
\(879\) | 7.39787 | + | 2.18856i | 0.249524 | + | 0.0738183i | ||||
\(880\) | −4.92401 | − | 1.36715i | −0.165988 | − | 0.0460865i | ||||
\(881\) | 39.8280 | − | 18.4264i | 1.34184 | − | 0.620802i | 0.388152 | − | 0.921596i | \(-0.373114\pi\) |
0.953689 | + | 0.300794i | \(0.0972516\pi\) | |||||||
\(882\) | 43.5574 | − | 38.5668i | 1.46665 | − | 1.29861i | ||||
\(883\) | −13.8879 | + | 3.05695i | −0.467364 | + | 0.102875i | −0.442408 | − | 0.896814i | \(-0.645876\pi\) |
−0.0249563 | + | 0.999689i | \(0.507945\pi\) | |||||||
\(884\) | −1.47354 | −0.0495606 | ||||||||
\(885\) | −11.4961 | + | 4.61431i | −0.386438 | + | 0.155108i | ||||
\(886\) | −34.9940 | −1.17565 | ||||||||
\(887\) | 35.8130 | − | 7.88305i | 1.20248 | − | 0.264687i | 0.431839 | − | 0.901951i | \(-0.357865\pi\) |
0.770645 | + | 0.637264i | \(0.219934\pi\) | |||||||
\(888\) | 8.94710 | + | 4.93783i | 0.300245 | + | 0.165703i | ||||
\(889\) | −20.2089 | + | 9.34962i | −0.677784 | + | 0.313576i | ||||
\(890\) | 6.19975 | + | 1.72135i | 0.207816 | + | 0.0576999i | ||||
\(891\) | 47.7634 | − | 12.5921i | 1.60013 | − | 0.421851i | ||||
\(892\) | 7.48537 | − | 7.09052i | 0.250629 | − | 0.237408i | ||||
\(893\) | 0.984924 | − | 0.748720i | 0.0329592 | − | 0.0250550i | ||||
\(894\) | 20.5139 | + | 16.1453i | 0.686088 | + | 0.539981i | ||||
\(895\) | −7.77452 | − | 0.421522i | −0.259873 | − | 0.0140899i | ||||
\(896\) | 3.32586 | + | 3.91551i | 0.111109 | + | 0.130808i | ||||
\(897\) | 5.02738 | + | 0.357399i | 0.167859 | + | 0.0119332i | ||||
\(898\) | 5.44834 | + | 16.1701i | 0.181813 | + | 0.539603i | ||||
\(899\) | 10.4521 | − | 15.4157i | 0.348598 | − | 0.514144i | ||||
\(900\) | 5.43643 | + | 11.1437i | 0.181214 | + | 0.371458i | ||||
\(901\) | −9.18671 | + | 10.8154i | −0.306054 | + | 0.360314i | ||||
\(902\) | −40.8988 | + | 43.1764i | −1.36178 | + | 1.43762i | ||||
\(903\) | 31.3505 | − | 64.8792i | 1.04328 | − | 2.15905i | ||||
\(904\) | 0.651318 | + | 1.63469i | 0.0216625 | + | 0.0543688i | ||||
\(905\) | 22.8355 | − | 3.74368i | 0.759076 | − | 0.124444i | ||||
\(906\) | −0.632070 | + | 0.164104i | −0.0209991 | + | 0.00545200i | ||||
\(907\) | −3.14822 | − | 2.39322i | −0.104535 | − | 0.0794654i | 0.551601 | − | 0.834108i | \(-0.314017\pi\) |
−0.656136 | + | 0.754643i | \(0.727810\pi\) | |||||||
\(908\) | 0.125098 | − | 0.0136052i | 0.00415152 | − | 0.000451505i | ||||
\(909\) | 0.303269 | − | 1.52656i | 0.0100588 | − | 0.0506329i | ||||
\(910\) | 2.16206 | + | 1.30087i | 0.0716717 | + | 0.0431234i | ||||
\(911\) | 2.55107 | + | 4.23992i | 0.0845208 | + | 0.140475i | 0.896234 | − | 0.443582i | \(-0.146292\pi\) |
−0.811713 | + | 0.584056i | \(0.801465\pi\) | |||||||
\(912\) | 0.280734 | − | 0.257113i | 0.00929602 | − | 0.00851387i | ||||
\(913\) | −21.2574 | + | 53.3520i | −0.703517 | + | 1.76569i | ||||
\(914\) | −2.75007 | + | 12.4937i | −0.0909642 | + | 0.413255i | ||||
\(915\) | −12.1234 | − | 7.57475i | −0.400786 | − | 0.250413i | ||||
\(916\) | 5.00904 | + | 1.99578i | 0.165503 | + | 0.0659426i | ||||
\(917\) | −4.41556 | + | 8.32864i | −0.145815 | + | 0.275036i | ||||
\(918\) | −6.75098 | + | 12.8498i | −0.222815 | + | 0.424108i | ||||
\(919\) | −5.97999 | + | 9.93883i | −0.197262 | + | 0.327852i | −0.939662 | − | 0.342106i | \(-0.888860\pi\) |
0.742400 | + | 0.669957i | \(0.233688\pi\) | |||||||
\(920\) | −4.53807 | + | 2.40593i | −0.149616 | + | 0.0793213i | ||||
\(921\) | 35.4054 | + | 8.41955i | 1.16665 | + | 0.277434i | ||||
\(922\) | −22.5671 | + | 29.6865i | −0.743209 | + | 0.977674i | ||||
\(923\) | −4.76743 | − | 7.03143i | −0.156922 | − | 0.231442i | ||||
\(924\) | 8.70965 | − | 48.0537i | 0.286526 | − | 1.58085i | ||||
\(925\) | 22.6533 | − | 9.02590i | 0.744836 | − | 0.296770i | ||||
\(926\) | −2.52353 | + | 23.2034i | −0.0829282 | + | 0.762512i | ||||
\(927\) | 3.88380 | − | 0.503353i | 0.127561 | − | 0.0165323i | ||||
\(928\) | 1.69549 | + | 1.44016i | 0.0556573 | + | 0.0472757i | ||||
\(929\) | 4.22517 | + | 1.95477i | 0.138623 | + | 0.0641340i | 0.487974 | − | 0.872858i | \(-0.337736\pi\) |
−0.349351 | + | 0.936992i | \(0.613598\pi\) | |||||||
\(930\) | 10.8850 | − | 7.98950i | 0.356932 | − | 0.261986i | ||||
\(931\) | −4.03912 | + | 1.36094i | −0.132377 | + | 0.0446029i | ||||
\(932\) | 3.51089 | + | 12.6451i | 0.115003 | + | 0.414204i | ||||
\(933\) | 3.77715 | − | 1.43188i | 0.123658 | − | 0.0468777i | ||||
\(934\) | 0.643533 | − | 11.8693i | 0.0210570 | − | 0.388374i | ||||
\(935\) | −13.5282 | − | 4.55817i | −0.442418 | − | 0.149068i | ||||
\(936\) | 0.0531796 | − | 1.58159i | 0.00173823 | − | 0.0516959i | ||||
\(937\) | −22.0597 | − | 23.2882i | −0.720660 | − | 0.760792i | 0.258029 | − | 0.966137i | \(-0.416927\pi\) |
−0.978690 | + | 0.205345i | \(0.934168\pi\) | |||||||
\(938\) | 23.5252 | − | 1.27550i | 0.768124 | − | 0.0416465i | ||||
\(939\) | −8.70237 | − | 6.11631i | −0.283991 | − | 0.199598i | ||||
\(940\) | 2.20076 | + | 4.75687i | 0.0717810 | + | 0.155152i | ||||
\(941\) | 2.14736 | − | 13.0983i | 0.0700018 | − | 0.426992i | −0.928454 | − | 0.371446i | \(-0.878862\pi\) |
0.998456 | − | 0.0555455i | \(-0.0176898\pi\) | |||||||
\(942\) | 1.94508 | − | 15.4624i | 0.0633740 | − | 0.503793i | ||||
\(943\) | 59.7759i | 1.94657i | ||||||||
\(944\) | 6.90754 | − | 3.35946i | 0.224821 | − | 0.109341i | ||||
\(945\) | 21.2495 | − | 12.8941i | 0.691246 | − | 0.419446i | ||||
\(946\) | −9.55423 | − | 43.4053i | −0.310635 | − | 1.41123i | ||||
\(947\) | 39.5665 | + | 6.48661i | 1.28574 | + | 0.210786i | 0.765612 | − | 0.643302i | \(-0.222436\pi\) |
0.520128 | + | 0.854089i | \(0.325884\pi\) | |||||||
\(948\) | −3.49934 | + | 0.321175i | −0.113653 | + | 0.0104313i | ||||
\(949\) | 0.0914957 | − | 0.329538i | 0.00297008 | − | 0.0106972i | ||||
\(950\) | −0.0491790 | − | 0.907054i | −0.00159558 | − | 0.0294287i | ||||
\(951\) | −2.56968 | − | 5.80847i | −0.0833276 | − | 0.188353i | ||||
\(952\) | 8.68491 | + | 11.4248i | 0.281480 | + | 0.370280i | ||||
\(953\) | 7.62501 | − | 22.6302i | 0.246998 | − | 0.733065i | −0.750401 | − | 0.660983i | \(-0.770139\pi\) |
0.997399 | − | 0.0720812i | \(-0.0229641\pi\) | |||||||
\(954\) | −11.2769 | − | 10.2507i | −0.365104 | − | 0.331877i | ||||
\(955\) | −6.04903 | + | 5.13810i | −0.195742 | + | 0.166265i | ||||
\(956\) | −19.2711 | + | 5.35059i | −0.623272 | + | 0.173051i | ||||
\(957\) | 0.355378 | − | 21.1442i | 0.0114877 | − | 0.683496i | ||||
\(958\) | 1.16288 | + | 0.788453i | 0.0375710 | + | 0.0254738i | ||||
\(959\) | 43.5181 | − | 94.0629i | 1.40527 | − | 3.03745i | ||||
\(960\) | 0.808109 | + | 1.39566i | 0.0260816 | + | 0.0450446i | ||||
\(961\) | 28.3840 | + | 26.8867i | 0.915613 | + | 0.867314i | ||||
\(962\) | −3.09401 | − | 0.336494i | −0.0997550 | − | 0.0108490i | ||||
\(963\) | −12.3635 | − | 3.88467i | −0.398407 | − | 0.125182i | ||||
\(964\) | 3.59163 | + | 21.9080i | 0.115679 | + | 0.705609i | ||||
\(965\) | −9.21825 | + | 6.25013i | −0.296746 | + | 0.201199i | ||||
\(966\) | −26.8599 | − | 41.0853i | −0.864203 | − | 1.32190i | ||||
\(967\) | −3.61290 | − | 33.2200i | −0.116183 | − | 1.06828i | −0.896544 | − | 0.442955i | \(-0.853930\pi\) |
0.780361 | − | 0.625329i | \(-0.215035\pi\) | |||||||
\(968\) | −8.95704 | − | 16.8948i | −0.287890 | − | 0.543018i | ||||
\(969\) | 0.821956 | − | 0.674728i | 0.0264050 | − | 0.0216754i | ||||
\(970\) | 5.34747 | − | 3.21747i | 0.171697 | − | 0.103307i | ||||
\(971\) | 30.4400 | + | 16.1383i | 0.976866 | + | 0.517902i | 0.878755 | − | 0.477274i | \(-0.158375\pi\) |
0.0981114 | + | 0.995175i | \(0.468720\pi\) | |||||||
\(972\) | −13.5484 | − | 7.70974i | −0.434566 | − | 0.247290i | ||||
\(973\) | 41.2849 | + | 9.08750i | 1.32353 | + | 0.291332i | ||||
\(974\) | −26.1463 | − | 5.75524i | −0.837782 | − | 0.184410i | ||||
\(975\) | −2.83654 | − | 2.49264i | −0.0908420 | − | 0.0798283i | ||||
\(976\) | 7.83143 | + | 4.15196i | 0.250678 | + | 0.132901i | ||||
\(977\) | −9.28873 | + | 5.58885i | −0.297173 | + | 0.178803i | −0.656330 | − | 0.754474i | \(-0.727892\pi\) |
0.359157 | + | 0.933277i | \(0.383064\pi\) | |||||||
\(978\) | −8.95308 | − | 10.9067i | −0.286288 | − | 0.348757i | ||||
\(979\) | 17.7651 | + | 33.5085i | 0.567775 | + | 1.07094i | ||||
\(980\) | −1.95226 | − | 17.9508i | −0.0623628 | − | 0.573416i | ||||
\(981\) | 15.8403 | − | 3.82967i | 0.505742 | − | 0.122272i | ||||
\(982\) | −18.4779 | + | 12.5283i | −0.589653 | + | 0.399795i | ||||
\(983\) | −4.62223 | − | 28.1944i | −0.147426 | − | 0.899261i | −0.952154 | − | 0.305617i | \(-0.901137\pi\) |
0.804728 | − | 0.593644i | \(-0.202311\pi\) | |||||||
\(984\) | 18.7554 | − | 0.701021i | 0.597900 | − | 0.0223477i | ||||
\(985\) | 3.51746 | + | 0.382547i | 0.112076 | + | 0.0121890i | ||||
\(986\) | 4.51156 | + | 4.27358i | 0.143677 | + | 0.136098i | ||||
\(987\) | −43.3467 | + | 25.0985i | −1.37974 | + | 0.798893i | ||||
\(988\) | −0.0486804 | + | 0.105221i | −0.00154873 | + | 0.00334752i | ||||
\(989\) | −36.9741 | − | 25.0691i | −1.17571 | − | 0.797151i | ||||
\(990\) | 5.38063 | − | 14.3556i | 0.171008 | − | 0.456252i | ||||
\(991\) | 50.2279 | − | 13.9457i | 1.59554 | − | 0.443000i | 0.647740 | − | 0.761861i | \(-0.275714\pi\) |
0.947801 | + | 0.318861i | \(0.103300\pi\) | |||||||
\(992\) | −6.38111 | + | 5.42016i | −0.202600 | + | 0.172090i | ||||
\(993\) | 12.6665 | − | 30.2995i | 0.401959 | − | 0.961526i | ||||
\(994\) | −26.4180 | + | 78.4059i | −0.837929 | + | 2.48689i | ||||
\(995\) | 5.56197 | + | 7.31664i | 0.176326 | + | 0.231953i | ||||
\(996\) | 16.5748 | − | 7.33272i | 0.525192 | − | 0.232346i | ||||
\(997\) | −2.58307 | − | 47.6419i | −0.0818065 | − | 1.50883i | −0.695063 | − | 0.718949i | \(-0.744623\pi\) |
0.613256 | − | 0.789884i | \(-0.289859\pi\) | |||||||
\(998\) | 3.58444 | − | 12.9100i | 0.113463 | − | 0.408658i | ||||
\(999\) | −17.1095 | + | 25.4393i | −0.541320 | + | 0.804865i |
(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 | 354.2.g.b.11.5 | yes | 280 | |
3.2 | odd | 2 | 354.2.g.a.11.6 | ✓ | 280 | ||
59.43 | odd | 58 | 354.2.g.a.161.6 | yes | 280 | ||
177.161 | even | 58 | inner | 354.2.g.b.161.5 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.g.a.11.6 | ✓ | 280 | 3.2 | odd | 2 | ||
354.2.g.a.161.6 | yes | 280 | 59.43 | odd | 58 | ||
354.2.g.b.11.5 | yes | 280 | 1.1 | even | 1 | trivial | |
354.2.g.b.161.5 | yes | 280 | 177.161 | even | 58 | inner |