Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(5,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([55, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.o (of order \(66\), degree \(20\), 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: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 5.6 | ||
Character | \(\chi\) | \(=\) | 322.5 |
Dual form | 322.2.o.b.129.6 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.723734 | − | 0.690079i | 0.511757 | − | 0.487960i | ||||
\(3\) | 0.340605 | − | 1.76722i | 0.196648 | − | 1.02031i | −0.740680 | − | 0.671858i | \(-0.765496\pi\) |
0.937328 | − | 0.348449i | \(-0.113292\pi\) | |||||||
\(4\) | 0.0475819 | − | 0.998867i | 0.0237910 | − | 0.499434i | ||||
\(5\) | −0.793626 | − | 0.624115i | −0.354920 | − | 0.279113i | 0.424740 | − | 0.905316i | \(-0.360366\pi\) |
−0.779660 | + | 0.626203i | \(0.784608\pi\) | |||||||
\(6\) | −0.973017 | − | 1.51404i | −0.397233 | − | 0.618106i | ||||
\(7\) | −0.911188 | − | 2.48390i | −0.344397 | − | 0.938824i | ||||
\(8\) | −0.654861 | − | 0.755750i | −0.231528 | − | 0.267198i | ||||
\(9\) | −0.221966 | − | 0.0888616i | −0.0739885 | − | 0.0296205i | ||||
\(10\) | −1.00506 | + | 0.0959718i | −0.317829 | + | 0.0303490i | ||||
\(11\) | −2.73144 | + | 2.86465i | −0.823561 | + | 0.863726i | −0.992543 | − | 0.121893i | \(-0.961103\pi\) |
0.168982 | + | 0.985619i | \(0.445952\pi\) | |||||||
\(12\) | −1.74902 | − | 0.424307i | −0.504897 | − | 0.122487i | ||||
\(13\) | −0.912364 | − | 0.416663i | −0.253044 | − | 0.115561i | 0.284855 | − | 0.958571i | \(-0.408055\pi\) |
−0.537899 | + | 0.843009i | \(0.680782\pi\) | |||||||
\(14\) | −2.37354 | − | 1.16889i | −0.634356 | − | 0.312398i | ||||
\(15\) | −1.37326 | + | 1.18994i | −0.354575 | + | 0.307241i | ||||
\(16\) | −0.995472 | − | 0.0950560i | −0.248868 | − | 0.0237640i | ||||
\(17\) | 4.75133 | + | 2.44948i | 1.15237 | + | 0.594086i | 0.925092 | − | 0.379744i | \(-0.123988\pi\) |
0.227275 | + | 0.973831i | \(0.427018\pi\) | |||||||
\(18\) | −0.221966 | + | 0.0888616i | −0.0523178 | + | 0.0209449i | ||||
\(19\) | 6.13119 | − | 3.16085i | 1.40659 | − | 0.725148i | 0.423096 | − | 0.906085i | \(-0.360943\pi\) |
0.983495 | + | 0.180937i | \(0.0579129\pi\) | |||||||
\(20\) | −0.661170 | + | 0.763031i | −0.147842 | + | 0.170619i | ||||
\(21\) | −4.69995 | + | 0.764247i | −1.02561 | + | 0.166772i | ||||
\(22\) | 3.95816i | 0.843882i | ||||||||
\(23\) | −4.39477 | + | 1.91989i | −0.916373 | + | 0.400325i | ||||
\(24\) | −1.55863 | + | 0.899874i | −0.318153 | + | 0.183686i | ||||
\(25\) | −0.938471 | − | 3.86843i | −0.187694 | − | 0.773686i | ||||
\(26\) | −0.947839 | + | 0.328050i | −0.185887 | + | 0.0643360i | ||||
\(27\) | 2.68641 | − | 4.18014i | 0.517000 | − | 0.804468i | ||||
\(28\) | −2.52444 | + | 0.791967i | −0.477074 | + | 0.149668i | ||||
\(29\) | 7.16293 | − | 4.60334i | 1.33012 | − | 0.854818i | 0.333981 | − | 0.942580i | \(-0.391608\pi\) |
0.996141 | + | 0.0877619i | \(0.0279715\pi\) | |||||||
\(30\) | −0.172725 | + | 1.80886i | −0.0315351 | + | 0.330251i | ||||
\(31\) | −4.32922 | − | 1.49836i | −0.777551 | − | 0.269113i | −0.0906684 | − | 0.995881i | \(-0.528900\pi\) |
−0.686883 | + | 0.726768i | \(0.741022\pi\) | |||||||
\(32\) | −0.786053 | + | 0.618159i | −0.138956 | + | 0.109276i | ||||
\(33\) | 4.13214 | + | 5.80279i | 0.719314 | + | 1.01014i | ||||
\(34\) | 5.12903 | − | 1.50602i | 0.879622 | − | 0.258280i | ||||
\(35\) | −0.827093 | + | 2.53997i | −0.139804 | + | 0.429333i | ||||
\(36\) | −0.0993225 | + | 0.217486i | −0.0165537 | + | 0.0362477i | ||||
\(37\) | −3.14976 | + | 7.86771i | −0.517817 | + | 1.29344i | 0.407138 | + | 0.913367i | \(0.366527\pi\) |
−0.924955 | + | 0.380078i | \(0.875897\pi\) | |||||||
\(38\) | 2.25612 | − | 6.51862i | 0.365990 | − | 1.05746i | ||||
\(39\) | −1.04709 | + | 1.47043i | −0.167669 | + | 0.235458i | ||||
\(40\) | 0.0480403 | + | 1.00849i | 0.00759584 | + | 0.159456i | ||||
\(41\) | 10.6413 | + | 1.52998i | 1.66188 | + | 0.238943i | 0.908273 | − | 0.418378i | \(-0.137401\pi\) |
0.753611 | + | 0.657321i | \(0.228310\pi\) | |||||||
\(42\) | −2.87413 | + | 3.79645i | −0.443487 | + | 0.585805i | ||||
\(43\) | 0.748530 | + | 0.648605i | 0.114150 | + | 0.0989113i | 0.710065 | − | 0.704136i | \(-0.248665\pi\) |
−0.595916 | + | 0.803047i | \(0.703211\pi\) | |||||||
\(44\) | 2.73144 | + | 2.86465i | 0.411780 | + | 0.431863i | ||||
\(45\) | 0.120698 | + | 0.209055i | 0.0179926 | + | 0.0311641i | ||||
\(46\) | −1.85577 | + | 4.42223i | −0.273619 | + | 0.652022i | ||||
\(47\) | −3.86559 | − | 2.23180i | −0.563854 | − | 0.325541i | 0.190837 | − | 0.981622i | \(-0.438880\pi\) |
−0.754691 | + | 0.656081i | \(0.772213\pi\) | |||||||
\(48\) | −0.507048 | + | 1.72685i | −0.0731860 | + | 0.249249i | ||||
\(49\) | −5.33947 | + | 4.52659i | −0.762782 | + | 0.646656i | ||||
\(50\) | −3.34873 | − | 2.15210i | −0.473581 | − | 0.304352i | ||||
\(51\) | 5.94711 | − | 7.56236i | 0.832761 | − | 1.05894i | ||||
\(52\) | −0.459603 | + | 0.891505i | −0.0637354 | + | 0.123629i | ||||
\(53\) | −1.22752 | − | 0.874114i | −0.168613 | − | 0.120069i | 0.492635 | − | 0.870236i | \(-0.336034\pi\) |
−0.661248 | + | 0.750167i | \(0.729973\pi\) | |||||||
\(54\) | −0.940378 | − | 4.87914i | −0.127969 | − | 0.663967i | ||||
\(55\) | 3.95562 | − | 0.568732i | 0.533375 | − | 0.0766878i | ||||
\(56\) | −1.28050 | + | 2.31524i | −0.171114 | + | 0.309386i | ||||
\(57\) | −3.49762 | − | 11.9118i | −0.463270 | − | 1.57775i | ||||
\(58\) | 2.00739 | − | 8.27458i | 0.263583 | − | 1.08651i | ||||
\(59\) | 0.557065 | + | 5.83385i | 0.0725237 | + | 0.759503i | 0.956454 | + | 0.291884i | \(0.0942820\pi\) |
−0.883930 | + | 0.467619i | \(0.845112\pi\) | |||||||
\(60\) | 1.12325 | + | 1.42833i | 0.145011 | + | 0.184396i | ||||
\(61\) | 13.0546 | − | 2.51606i | 1.67147 | − | 0.322149i | 0.736380 | − | 0.676568i | \(-0.236534\pi\) |
0.935087 | + | 0.354420i | \(0.115322\pi\) | |||||||
\(62\) | −4.16719 | + | 1.90309i | −0.529234 | + | 0.241693i | ||||
\(63\) | −0.0184706 | + | 0.632309i | −0.00232708 | + | 0.0796634i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | 0.464031 | + | 0.900094i | 0.0575559 | + | 0.111643i | ||||
\(66\) | 6.99495 | + | 1.34817i | 0.861019 | + | 0.165948i | ||||
\(67\) | −0.523602 | + | 0.127024i | −0.0639682 | + | 0.0155185i | −0.267615 | − | 0.963526i | \(-0.586236\pi\) |
0.203647 | + | 0.979044i | \(0.434720\pi\) | |||||||
\(68\) | 2.67278 | − | 4.62940i | 0.324123 | − | 0.561397i | ||||
\(69\) | 1.89599 | + | 8.42047i | 0.228251 | + | 1.01371i | ||||
\(70\) | 1.15418 | + | 2.40902i | 0.137951 | + | 0.287933i | ||||
\(71\) | 14.8201 | + | 4.35156i | 1.75882 | + | 0.516435i | 0.992089 | − | 0.125538i | \(-0.0400655\pi\) |
0.766728 | + | 0.641973i | \(0.221884\pi\) | |||||||
\(72\) | 0.0781994 | + | 0.225942i | 0.00921589 | + | 0.0266276i | ||||
\(73\) | −5.71443 | − | 0.272212i | −0.668823 | − | 0.0318600i | −0.289575 | − | 0.957155i | \(-0.593514\pi\) |
−0.379248 | + | 0.925295i | \(0.623817\pi\) | |||||||
\(74\) | 3.14976 | + | 7.86771i | 0.366152 | + | 0.914603i | ||||
\(75\) | −7.15603 | + | 0.340884i | −0.826307 | + | 0.0393619i | ||||
\(76\) | −2.86553 | − | 6.27464i | −0.328699 | − | 0.719751i | ||||
\(77\) | 9.60436 | + | 4.17438i | 1.09452 | + | 0.475715i | ||||
\(78\) | 0.256900 | + | 1.78678i | 0.0290882 | + | 0.202313i | ||||
\(79\) | −4.66546 | + | 3.32226i | −0.524905 | + | 0.373783i | −0.811577 | − | 0.584246i | \(-0.801391\pi\) |
0.286672 | + | 0.958029i | \(0.407451\pi\) | |||||||
\(80\) | 0.730707 | + | 0.696727i | 0.0816955 | + | 0.0778965i | ||||
\(81\) | −6.99135 | − | 6.66624i | −0.776817 | − | 0.740693i | ||||
\(82\) | 8.75724 | − | 6.23600i | 0.967076 | − | 0.688652i | ||||
\(83\) | −0.494217 | − | 3.43735i | −0.0542473 | − | 0.377299i | −0.998802 | − | 0.0489431i | \(-0.984415\pi\) |
0.944554 | − | 0.328355i | \(-0.106494\pi\) | |||||||
\(84\) | 0.539749 | + | 4.73100i | 0.0588914 | + | 0.516194i | ||||
\(85\) | −2.24202 | − | 4.90935i | −0.243182 | − | 0.532493i | ||||
\(86\) | 0.989325 | − | 0.0471274i | 0.106682 | − | 0.00508187i | ||||
\(87\) | −5.69540 | − | 14.2264i | −0.610611 | − | 1.52523i | ||||
\(88\) | 3.95368 | + | 0.188337i | 0.421463 | + | 0.0200768i | ||||
\(89\) | 2.23534 | + | 6.45860i | 0.236946 | + | 0.684610i | 0.999299 | + | 0.0374484i | \(0.0119230\pi\) |
−0.762353 | + | 0.647162i | \(0.775956\pi\) | |||||||
\(90\) | 0.231617 | + | 0.0680090i | 0.0244146 | + | 0.00716878i | ||||
\(91\) | −0.203612 | + | 2.64587i | −0.0213443 | + | 0.277363i | ||||
\(92\) | 1.70860 | + | 4.48115i | 0.178134 | + | 0.467192i | ||||
\(93\) | −4.12249 | + | 7.14036i | −0.427482 | + | 0.740421i | ||||
\(94\) | −4.33777 | + | 1.05233i | −0.447407 | + | 0.108540i | ||||
\(95\) | −6.83860 | − | 1.31803i | −0.701626 | − | 0.135227i | ||||
\(96\) | 0.824692 | + | 1.59968i | 0.0841698 | + | 0.163267i | ||||
\(97\) | −2.29986 | + | 15.9959i | −0.233516 | + | 1.62414i | 0.449185 | + | 0.893439i | \(0.351715\pi\) |
−0.682700 | + | 0.730698i | \(0.739195\pi\) | |||||||
\(98\) | −0.740653 | + | 6.96071i | −0.0748173 | + | 0.703138i | ||||
\(99\) | 0.860844 | − | 0.393134i | 0.0865181 | − | 0.0395115i | ||||
\(100\) | −3.90870 | + | 0.753341i | −0.390870 | + | 0.0753341i | ||||
\(101\) | −1.79056 | − | 2.27689i | −0.178168 | − | 0.226559i | 0.688764 | − | 0.724986i | \(-0.258154\pi\) |
−0.866932 | + | 0.498427i | \(0.833911\pi\) | |||||||
\(102\) | −0.914503 | − | 9.57711i | −0.0905493 | − | 0.948275i | ||||
\(103\) | 1.42404 | − | 5.86999i | 0.140315 | − | 0.578387i | −0.857627 | − | 0.514272i | \(-0.828062\pi\) |
0.997942 | − | 0.0641154i | \(-0.0204226\pi\) | |||||||
\(104\) | 0.282579 | + | 0.962375i | 0.0277091 | + | 0.0943686i | ||||
\(105\) | 4.20698 | + | 2.32678i | 0.410560 | + | 0.227071i | ||||
\(106\) | −1.49161 | + | 0.214461i | −0.144878 | + | 0.0208303i | ||||
\(107\) | 0.404819 | + | 2.10040i | 0.0391354 | + | 0.203053i | 0.996234 | − | 0.0867102i | \(-0.0276354\pi\) |
−0.957098 | + | 0.289764i | \(0.906423\pi\) | |||||||
\(108\) | −4.04758 | − | 2.88227i | −0.389478 | − | 0.277346i | ||||
\(109\) | −5.80398 | + | 11.2581i | −0.555920 | + | 1.07833i | 0.428671 | + | 0.903461i | \(0.358982\pi\) |
−0.984591 | + | 0.174874i | \(0.944048\pi\) | |||||||
\(110\) | 2.47034 | − | 3.14130i | 0.235538 | − | 0.299511i | ||||
\(111\) | 12.8312 | + | 8.24611i | 1.21788 | + | 0.782686i | ||||
\(112\) | 0.670953 | + | 2.55926i | 0.0633991 | + | 0.241828i | ||||
\(113\) | −2.59628 | + | 8.84212i | −0.244238 | + | 0.831797i | 0.742552 | + | 0.669789i | \(0.233615\pi\) |
−0.986789 | + | 0.162008i | \(0.948203\pi\) | |||||||
\(114\) | −10.7514 | − | 6.20733i | −1.00696 | − | 0.581370i | ||||
\(115\) | 4.68604 | + | 1.21917i | 0.436975 | + | 0.113688i | ||||
\(116\) | −4.25730 | − | 7.37385i | −0.395280 | − | 0.684645i | ||||
\(117\) | 0.165488 | + | 0.173559i | 0.0152994 | + | 0.0160455i | ||||
\(118\) | 4.42899 | + | 3.83774i | 0.407721 | + | 0.353292i | ||||
\(119\) | 1.75490 | − | 14.0337i | 0.160871 | − | 1.28647i | ||||
\(120\) | 1.79859 | + | 0.258598i | 0.164188 | + | 0.0236067i | ||||
\(121\) | −0.222066 | − | 4.66174i | −0.0201878 | − | 0.423795i | ||||
\(122\) | 7.71175 | − | 10.8296i | 0.698189 | − | 0.980470i | ||||
\(123\) | 6.32828 | − | 18.2844i | 0.570602 | − | 1.64864i | ||||
\(124\) | −1.70265 | + | 4.25302i | −0.152903 | + | 0.381933i | ||||
\(125\) | −3.76663 | + | 8.24778i | −0.336898 | + | 0.737704i | ||||
\(126\) | 0.422975 | + | 0.470370i | 0.0376816 | + | 0.0419039i | ||||
\(127\) | −11.5429 | + | 3.38931i | −1.02427 | + | 0.300753i | −0.750379 | − | 0.661008i | \(-0.770129\pi\) |
−0.273891 | + | 0.961761i | \(0.588311\pi\) | |||||||
\(128\) | 0.580057 | + | 0.814576i | 0.0512703 | + | 0.0719990i | ||||
\(129\) | 1.40118 | − | 1.10190i | 0.123367 | − | 0.0970171i | ||||
\(130\) | 0.956971 | + | 0.331211i | 0.0839319 | + | 0.0290491i | ||||
\(131\) | 0.195816 | − | 2.05067i | 0.0171085 | − | 0.179168i | −0.982879 | − | 0.184254i | \(-0.941013\pi\) |
0.999987 | + | 0.00508629i | \(0.00161902\pi\) | |||||||
\(132\) | 5.99283 | − | 3.85136i | 0.521609 | − | 0.335218i | ||||
\(133\) | −13.4379 | − | 12.3491i | −1.16521 | − | 1.07080i | ||||
\(134\) | −0.291292 | + | 0.453259i | −0.0251638 | + | 0.0391556i | ||||
\(135\) | −4.74089 | + | 1.64084i | −0.408031 | + | 0.141221i | ||||
\(136\) | −1.26027 | − | 5.19488i | −0.108067 | − | 0.445458i | ||||
\(137\) | −16.5888 | + | 9.57756i | −1.41728 | + | 0.818266i | −0.996059 | − | 0.0886928i | \(-0.971731\pi\) |
−0.421219 | + | 0.906959i | \(0.638398\pi\) | |||||||
\(138\) | 7.18299 | + | 4.78579i | 0.611456 | + | 0.407394i | ||||
\(139\) | − | 10.9547i | − | 0.929164i | −0.885530 | − | 0.464582i | \(-0.846205\pi\) | ||
0.885530 | − | 0.464582i | \(-0.153795\pi\) | |||||||
\(140\) | 2.49774 | + | 0.947013i | 0.211097 | + | 0.0800372i | ||||
\(141\) | −5.26072 | + | 6.07120i | −0.443033 | + | 0.511287i | ||||
\(142\) | 13.7287 | − | 7.07763i | 1.15209 | − | 0.593942i | ||||
\(143\) | 3.68566 | − | 1.47552i | 0.308211 | − | 0.123389i | ||||
\(144\) | 0.212514 | + | 0.109558i | 0.0177095 | + | 0.00912987i | ||||
\(145\) | −8.55770 | − | 0.817161i | −0.710678 | − | 0.0678615i | ||||
\(146\) | −4.32357 | + | 3.74640i | −0.357821 | + | 0.310054i | ||||
\(147\) | 6.18085 | + | 10.9778i | 0.509788 | + | 0.905436i | ||||
\(148\) | 7.70893 | + | 3.52055i | 0.633670 | + | 0.289388i | ||||
\(149\) | 10.2688 | + | 2.49118i | 0.841252 | + | 0.204086i | 0.633157 | − | 0.774023i | \(-0.281759\pi\) |
0.208095 | + | 0.978109i | \(0.433274\pi\) | |||||||
\(150\) | −4.94383 | + | 5.18494i | −0.403662 | + | 0.423348i | ||||
\(151\) | −20.1512 | + | 1.92420i | −1.63988 | + | 0.156589i | −0.873843 | − | 0.486209i | \(-0.838379\pi\) |
−0.766036 | + | 0.642798i | \(0.777773\pi\) | |||||||
\(152\) | −6.40388 | − | 2.56373i | −0.519424 | − | 0.207946i | ||||
\(153\) | −0.836967 | − | 0.965911i | −0.0676648 | − | 0.0780893i | ||||
\(154\) | 9.83165 | − | 3.60663i | 0.792257 | − | 0.290630i | ||||
\(155\) | 2.50064 | + | 3.89107i | 0.200856 | + | 0.312538i | ||||
\(156\) | 1.41895 | + | 1.11587i | 0.113607 | + | 0.0893412i | ||||
\(157\) | 0.316629 | − | 6.64685i | 0.0252697 | − | 0.530477i | −0.950373 | − | 0.311112i | \(-0.899299\pi\) |
0.975643 | − | 0.219365i | \(-0.0703984\pi\) | |||||||
\(158\) | −1.08393 | + | 5.62397i | −0.0862329 | + | 0.447419i | ||||
\(159\) | −1.96285 | + | 1.87158i | −0.155665 | + | 0.148426i | ||||
\(160\) | 1.00963 | 0.0798186 | ||||||||
\(161\) | 8.77327 | + | 9.16678i | 0.691430 | + | 0.722443i | ||||
\(162\) | −9.66011 | −0.758970 | ||||||||
\(163\) | 11.8533 | − | 11.3021i | 0.928426 | − | 0.885252i | −0.0652126 | − | 0.997871i | \(-0.520773\pi\) |
0.993638 | + | 0.112619i | \(0.0359241\pi\) | |||||||
\(164\) | 2.03458 | − | 10.5564i | 0.158874 | − | 0.824316i | ||||
\(165\) | 0.342224 | − | 7.18417i | 0.0266421 | − | 0.559287i | ||||
\(166\) | −2.72973 | − | 2.14668i | −0.211868 | − | 0.166615i | ||||
\(167\) | 0.167818 | + | 0.261129i | 0.0129861 | + | 0.0202068i | 0.847686 | − | 0.530498i | \(-0.177995\pi\) |
−0.834700 | + | 0.550705i | \(0.814359\pi\) | |||||||
\(168\) | 3.65540 | + | 3.05151i | 0.282020 | + | 0.235429i | ||||
\(169\) | −7.85439 | − | 9.06445i | −0.604184 | − | 0.697265i | ||||
\(170\) | −5.01047 | − | 2.00589i | −0.384285 | − | 0.153845i | ||||
\(171\) | −1.64179 | + | 0.156772i | −0.125551 | + | 0.0119887i | ||||
\(172\) | 0.683487 | − | 0.716820i | 0.0521154 | − | 0.0546570i | ||||
\(173\) | −18.6055 | − | 4.51364i | −1.41455 | − | 0.343166i | −0.545590 | − | 0.838052i | \(-0.683694\pi\) |
−0.868958 | + | 0.494887i | \(0.835210\pi\) | |||||||
\(174\) | −13.9393 | − | 6.36587i | −1.05674 | − | 0.482595i | ||||
\(175\) | −8.75365 | + | 5.85593i | −0.661714 | + | 0.442667i | ||||
\(176\) | 2.99138 | − | 2.59204i | 0.225484 | − | 0.195383i | ||||
\(177\) | 10.4995 | + | 1.00258i | 0.789188 | + | 0.0753583i | ||||
\(178\) | 6.07474 | + | 3.13174i | 0.455321 | + | 0.234734i | ||||
\(179\) | 8.55805 | − | 3.42613i | 0.639659 | − | 0.256081i | −0.0290811 | − | 0.999577i | \(-0.509258\pi\) |
0.668740 | + | 0.743496i | \(0.266834\pi\) | |||||||
\(180\) | 0.214561 | − | 0.110614i | 0.0159924 | − | 0.00824467i | ||||
\(181\) | 6.37895 | − | 7.36170i | 0.474144 | − | 0.547191i | −0.467416 | − | 0.884038i | \(-0.654815\pi\) |
0.941560 | + | 0.336847i | \(0.109360\pi\) | |||||||
\(182\) | 1.67850 | + | 2.05542i | 0.124419 | + | 0.152358i | ||||
\(183\) | − | 23.9273i | − | 1.76876i | ||||||
\(184\) | 4.32892 | + | 2.06409i | 0.319132 | + | 0.152167i | ||||
\(185\) | 7.41009 | − | 4.27821i | 0.544800 | − | 0.314541i | ||||
\(186\) | 1.94383 | + | 8.01256i | 0.142528 | + | 0.587510i | ||||
\(187\) | −19.9949 | + | 6.92030i | −1.46217 | + | 0.506063i | ||||
\(188\) | −2.41320 | + | 3.75502i | −0.176001 | + | 0.273863i | ||||
\(189\) | −12.8308 | − | 2.86387i | −0.933307 | − | 0.208316i | ||||
\(190\) | −5.85888 | + | 3.76527i | −0.425048 | + | 0.273161i | ||||
\(191\) | 0.768811 | − | 8.05136i | 0.0556292 | − | 0.582576i | −0.924086 | − | 0.382183i | \(-0.875172\pi\) |
0.979716 | − | 0.200392i | \(-0.0642217\pi\) | |||||||
\(192\) | 1.70076 | + | 0.588640i | 0.122742 | + | 0.0424814i | ||||
\(193\) | 7.80855 | − | 6.14071i | 0.562071 | − | 0.442018i | −0.296265 | − | 0.955106i | \(-0.595741\pi\) |
0.858336 | + | 0.513088i | \(0.171499\pi\) | |||||||
\(194\) | 9.37394 | + | 13.1639i | 0.673010 | + | 0.945110i | ||||
\(195\) | 1.74872 | − | 0.513470i | 0.125228 | − | 0.0367704i | ||||
\(196\) | 4.26740 | + | 5.54881i | 0.304814 | + | 0.396344i | ||||
\(197\) | −4.21895 | + | 9.23822i | −0.300588 | + | 0.658196i | −0.998306 | − | 0.0581763i | \(-0.981471\pi\) |
0.697718 | + | 0.716372i | \(0.254199\pi\) | |||||||
\(198\) | 0.351728 | − | 0.878575i | 0.0249962 | − | 0.0624376i | ||||
\(199\) | −5.03810 | + | 14.5566i | −0.357141 | + | 1.03189i | 0.613153 | + | 0.789964i | \(0.289901\pi\) |
−0.970294 | + | 0.241928i | \(0.922220\pi\) | |||||||
\(200\) | −2.30900 | + | 3.24253i | −0.163271 | + | 0.229282i | ||||
\(201\) | 0.0461395 | + | 0.968587i | 0.00325443 | + | 0.0683189i | ||||
\(202\) | −2.86712 | − | 0.412230i | −0.201730 | − | 0.0290044i | ||||
\(203\) | −17.9610 | − | 13.5975i | −1.26061 | − | 0.954355i | ||||
\(204\) | −7.27082 | − | 6.30020i | −0.509059 | − | 0.441102i | ||||
\(205\) | −7.49029 | − | 7.85559i | −0.523145 | − | 0.548658i | ||||
\(206\) | −3.02013 | − | 5.23101i | −0.210422 | − | 0.364462i | ||||
\(207\) | 1.14609 | − | 0.0356227i | 0.0796589 | − | 0.00247595i | ||||
\(208\) | 0.868626 | + | 0.501502i | 0.0602284 | + | 0.0347729i | ||||
\(209\) | −7.69225 | + | 26.1974i | −0.532084 | + | 1.81211i | ||||
\(210\) | 4.65040 | − | 1.21918i | 0.320908 | − | 0.0841314i | ||||
\(211\) | −2.50025 | − | 1.60681i | −0.172124 | − | 0.110617i | 0.451742 | − | 0.892149i | \(-0.350803\pi\) |
−0.623866 | + | 0.781531i | \(0.714439\pi\) | |||||||
\(212\) | −0.931532 | + | 1.18454i | −0.0639779 | + | 0.0813545i | ||||
\(213\) | 12.7380 | − | 24.7082i | 0.872790 | − | 1.69298i | ||||
\(214\) | 1.74242 | + | 1.24077i | 0.119110 | + | 0.0848176i | ||||
\(215\) | −0.189249 | − | 0.981918i | −0.0129067 | − | 0.0669663i | ||||
\(216\) | −4.91836 | + | 0.707154i | −0.334652 | + | 0.0481157i | ||||
\(217\) | 0.222969 | + | 12.1186i | 0.0151361 | + | 0.822666i | ||||
\(218\) | 3.56847 | + | 12.1531i | 0.241688 | + | 0.823112i | ||||
\(219\) | −2.42742 | + | 10.0060i | −0.164030 | + | 0.676140i | ||||
\(220\) | −0.379872 | − | 3.97820i | −0.0256110 | − | 0.268210i | ||||
\(221\) | −3.31434 | − | 4.21452i | −0.222946 | − | 0.283499i | ||||
\(222\) | 14.9768 | − | 2.88655i | 1.00518 | − | 0.193732i | ||||
\(223\) | 9.97949 | − | 4.55748i | 0.668276 | − | 0.305192i | −0.0522350 | − | 0.998635i | \(-0.516634\pi\) |
0.720511 | + | 0.693443i | \(0.243907\pi\) | |||||||
\(224\) | 2.25168 | + | 1.38921i | 0.150447 | + | 0.0928208i | ||||
\(225\) | −0.135447 | + | 0.942052i | −0.00902978 | + | 0.0628035i | ||||
\(226\) | 4.22274 | + | 8.19098i | 0.280893 | + | 0.544856i | ||||
\(227\) | 2.29391 | + | 0.442115i | 0.152252 | + | 0.0293442i | 0.264808 | − | 0.964301i | \(-0.414692\pi\) |
−0.112556 | + | 0.993645i | \(0.535904\pi\) | |||||||
\(228\) | −12.0647 | + | 2.92687i | −0.799005 | + | 0.193837i | ||||
\(229\) | 6.16615 | − | 10.6801i | 0.407471 | − | 0.705760i | −0.587135 | − | 0.809489i | \(-0.699744\pi\) |
0.994606 | + | 0.103729i | \(0.0330775\pi\) | |||||||
\(230\) | 4.23277 | − | 2.35138i | 0.279100 | − | 0.155046i | ||||
\(231\) | 10.6484 | − | 15.5512i | 0.700610 | − | 1.02320i | ||||
\(232\) | −8.16969 | − | 2.39884i | −0.536366 | − | 0.157491i | ||||
\(233\) | 5.07463 | + | 14.6622i | 0.332450 | + | 0.960551i | 0.980081 | + | 0.198597i | \(0.0636386\pi\) |
−0.647631 | + | 0.761954i | \(0.724240\pi\) | |||||||
\(234\) | 0.239539 | + | 0.0114106i | 0.0156591 | + | 0.000745936i | ||||
\(235\) | 1.67493 | + | 4.18378i | 0.109261 | + | 0.272920i | ||||
\(236\) | 5.85375 | − | 0.278848i | 0.381047 | − | 0.0181515i | ||||
\(237\) | 4.28210 | + | 9.37649i | 0.278152 | + | 0.609068i | ||||
\(238\) | −8.41431 | − | 11.3677i | −0.545419 | − | 0.736860i | ||||
\(239\) | 0.879893 | + | 6.11979i | 0.0569155 | + | 0.395856i | 0.998288 | + | 0.0584876i | \(0.0186278\pi\) |
−0.941373 | + | 0.337369i | \(0.890463\pi\) | |||||||
\(240\) | 1.48016 | − | 1.05401i | 0.0955436 | − | 0.0680363i | ||||
\(241\) | −4.43204 | − | 4.22594i | −0.285493 | − | 0.272217i | 0.533777 | − | 0.845625i | \(-0.320772\pi\) |
−0.819270 | + | 0.573409i | \(0.805621\pi\) | |||||||
\(242\) | −3.37769 | − | 3.22062i | −0.217126 | − | 0.207029i | ||||
\(243\) | −2.01929 | + | 1.43793i | −0.129538 | + | 0.0922434i | ||||
\(244\) | −1.89205 | − | 13.1595i | −0.121126 | − | 0.842451i | ||||
\(245\) | 7.06266 | − | 0.259978i | 0.451217 | − | 0.0166094i | ||||
\(246\) | −8.03766 | − | 17.6000i | −0.512463 | − | 1.12214i | ||||
\(247\) | −6.91088 | + | 0.329206i | −0.439729 | + | 0.0209469i | ||||
\(248\) | 1.70265 | + | 4.25302i | 0.108119 | + | 0.270067i | ||||
\(249\) | −6.24291 | − | 0.297386i | −0.395628 | − | 0.0188461i | ||||
\(250\) | 2.96558 | + | 8.56847i | 0.187560 | + | 0.541918i | ||||
\(251\) | −1.12074 | − | 0.329079i | −0.0707406 | − | 0.0207713i | 0.246171 | − | 0.969226i | \(-0.420828\pi\) |
−0.316911 | + | 0.948455i | \(0.602646\pi\) | |||||||
\(252\) | 0.630714 | + | 0.0485362i | 0.0397312 | + | 0.00305749i | ||||
\(253\) | 6.50425 | − | 17.8336i | 0.408919 | − | 1.12119i | ||||
\(254\) | −6.01512 | + | 10.4185i | −0.377422 | + | 0.653715i | ||||
\(255\) | −9.43956 | + | 2.29001i | −0.591128 | + | 0.143406i | ||||
\(256\) | 0.981929 | + | 0.189251i | 0.0613705 | + | 0.0118282i | ||||
\(257\) | 5.74749 | + | 11.1486i | 0.358518 | + | 0.695429i | 0.997259 | − | 0.0739938i | \(-0.0235745\pi\) |
−0.638740 | + | 0.769422i | \(0.720544\pi\) | |||||||
\(258\) | 0.253684 | − | 1.76441i | 0.0157937 | − | 0.109847i | ||||
\(259\) | 22.4126 | + | 0.654703i | 1.39265 | + | 0.0406813i | ||||
\(260\) | 0.921154 | − | 0.420677i | 0.0571275 | − | 0.0260893i | ||||
\(261\) | −1.99898 | + | 0.385272i | −0.123734 | + | 0.0238478i | ||||
\(262\) | −1.27341 | − | 1.61927i | −0.0786714 | − | 0.100039i | ||||
\(263\) | 0.742704 | + | 7.77794i | 0.0457971 | + | 0.479609i | 0.989055 | + | 0.147548i | \(0.0471379\pi\) |
−0.943258 | + | 0.332061i | \(0.892256\pi\) | |||||||
\(264\) | 1.67947 | − | 6.92288i | 0.103364 | − | 0.426074i | ||||
\(265\) | 0.428646 | + | 1.45983i | 0.0263315 | + | 0.0896769i | ||||
\(266\) | −18.2473 | + | 0.335730i | −1.11881 | + | 0.0205849i | ||||
\(267\) | 12.1752 | − | 1.75052i | 0.745108 | − | 0.107130i | ||||
\(268\) | 0.101967 | + | 0.529053i | 0.00622860 | + | 0.0323171i | ||||
\(269\) | −13.5563 | − | 9.65338i | −0.826540 | − | 0.588577i | 0.0865901 | − | 0.996244i | \(-0.472403\pi\) |
−0.913131 | + | 0.407667i | \(0.866342\pi\) | |||||||
\(270\) | −2.29884 | + | 4.45912i | −0.139903 | + | 0.271373i | ||||
\(271\) | −3.44532 | + | 4.38108i | −0.209288 | + | 0.266132i | −0.879352 | − | 0.476171i | \(-0.842024\pi\) |
0.670064 | + | 0.742303i | \(0.266267\pi\) | |||||||
\(272\) | −4.49698 | − | 2.89003i | −0.272669 | − | 0.175234i | ||||
\(273\) | 4.60650 | + | 1.26102i | 0.278798 | + | 0.0763206i | ||||
\(274\) | −5.39662 | + | 18.3792i | −0.326022 | + | 1.11033i | ||||
\(275\) | 13.6451 | + | 7.87800i | 0.822830 | + | 0.475061i | ||||
\(276\) | 8.50115 | − | 1.49319i | 0.511709 | − | 0.0898792i | ||||
\(277\) | 3.79621 | + | 6.57523i | 0.228092 | + | 0.395067i | 0.957243 | − | 0.289286i | \(-0.0934179\pi\) |
−0.729150 | + | 0.684353i | \(0.760085\pi\) | |||||||
\(278\) | −7.55959 | − | 7.92827i | −0.453394 | − | 0.475506i | ||||
\(279\) | 0.827792 | + | 0.717286i | 0.0495586 | + | 0.0429428i | ||||
\(280\) | 2.46121 | − | 1.03825i | 0.147086 | − | 0.0620474i | ||||
\(281\) | 26.7462 | + | 3.84552i | 1.59554 | + | 0.229404i | 0.882015 | − | 0.471222i | \(-0.156187\pi\) |
0.713528 | + | 0.700626i | \(0.247096\pi\) | |||||||
\(282\) | 0.382242 | + | 8.02425i | 0.0227622 | + | 0.477837i | ||||
\(283\) | −5.55979 | + | 7.80764i | −0.330495 | + | 0.464116i | −0.946070 | − | 0.323963i | \(-0.894985\pi\) |
0.615574 | + | 0.788079i | \(0.288924\pi\) | |||||||
\(284\) | 5.05180 | − | 14.5962i | 0.299769 | − | 0.866126i | ||||
\(285\) | −4.65852 | + | 11.6364i | −0.275947 | + | 0.689282i | ||||
\(286\) | 1.64922 | − | 3.61128i | 0.0975203 | − | 0.213540i | ||||
\(287\) | −5.89587 | − | 27.8259i | −0.348022 | − | 1.64251i | ||||
\(288\) | 0.229407 | − | 0.0673601i | 0.0135180 | − | 0.00396923i | ||||
\(289\) | 6.71422 | + | 9.42880i | 0.394954 | + | 0.554635i | ||||
\(290\) | −6.75740 | + | 5.31408i | −0.396808 | + | 0.312054i | ||||
\(291\) | 27.4850 | + | 9.51265i | 1.61120 | + | 0.557641i | ||||
\(292\) | −0.543807 | + | 5.69500i | −0.0318239 | + | 0.333275i | ||||
\(293\) | −4.68534 | + | 3.01108i | −0.273720 | + | 0.175909i | −0.670298 | − | 0.742092i | \(-0.733834\pi\) |
0.396578 | + | 0.918001i | \(0.370198\pi\) | |||||||
\(294\) | 12.0489 | + | 3.67975i | 0.702704 | + | 0.214607i | ||||
\(295\) | 3.19889 | − | 4.97757i | 0.186247 | − | 0.289805i | ||||
\(296\) | 8.00867 | − | 2.77183i | 0.465495 | − | 0.161109i | ||||
\(297\) | 4.63687 | + | 19.1134i | 0.269059 | + | 1.10907i | ||||
\(298\) | 9.15099 | − | 5.28332i | 0.530102 | − | 0.306055i | ||||
\(299\) | 4.80958 | + | 0.0794999i | 0.278145 | + | 0.00459760i | ||||
\(300\) | 7.16415i | 0.413622i | ||||||||
\(301\) | 0.929015 | − | 2.45027i | 0.0535475 | − | 0.141231i | ||||
\(302\) | −13.2562 | + | 15.2985i | −0.762810 | + | 0.880330i | ||||
\(303\) | −4.63364 | + | 2.38881i | −0.266196 | + | 0.137234i | ||||
\(304\) | −6.40388 | + | 2.56373i | −0.367288 | + | 0.147040i | ||||
\(305\) | −11.9308 | − | 6.15073i | −0.683153 | − | 0.352190i | ||||
\(306\) | −1.27230 | − | 0.121490i | −0.0727323 | − | 0.00694510i | ||||
\(307\) | 17.3793 | − | 15.0592i | 0.991886 | − | 0.859474i | 0.00180907 | − | 0.999998i | \(-0.499424\pi\) |
0.990077 | + | 0.140524i | \(0.0448787\pi\) | |||||||
\(308\) | 4.62665 | − | 9.39486i | 0.263628 | − | 0.535322i | ||||
\(309\) | −9.88855 | − | 4.51595i | −0.562540 | − | 0.256903i | ||||
\(310\) | 4.49494 | + | 1.09046i | 0.255295 | + | 0.0619340i | ||||
\(311\) | −7.11025 | + | 7.45701i | −0.403185 | + | 0.422849i | −0.893756 | − | 0.448553i | \(-0.851940\pi\) |
0.490571 | + | 0.871401i | \(0.336788\pi\) | |||||||
\(312\) | 1.79698 | − | 0.171591i | 0.101734 | − | 0.00971441i | ||||
\(313\) | −21.6966 | − | 8.68599i | −1.22636 | − | 0.490961i | −0.334125 | − | 0.942529i | \(-0.608441\pi\) |
−0.892237 | + | 0.451567i | \(0.850865\pi\) | |||||||
\(314\) | −4.35770 | − | 5.02905i | −0.245919 | − | 0.283806i | ||||
\(315\) | 0.409292 | − | 0.490289i | 0.0230610 | − | 0.0276247i | ||||
\(316\) | 3.09650 | + | 4.81826i | 0.174192 | + | 0.271048i | ||||
\(317\) | −1.71642 | − | 1.34981i | −0.0964038 | − | 0.0758128i | 0.568794 | − | 0.822480i | \(-0.307410\pi\) |
−0.665198 | + | 0.746667i | \(0.731653\pi\) | |||||||
\(318\) | −0.129048 | + | 2.70905i | −0.00723665 | + | 0.151916i | ||||
\(319\) | −6.37817 | + | 33.0931i | −0.357109 | + | 1.85286i | ||||
\(320\) | 0.730707 | − | 0.696727i | 0.0408477 | − | 0.0389482i | ||||
\(321\) | 3.84976 | 0.214873 | ||||||||
\(322\) | 12.6753 | + | 0.580060i | 0.706368 | + | 0.0323255i | ||||
\(323\) | 36.8737 | 2.05171 | ||||||||
\(324\) | −6.99135 | + | 6.66624i | −0.388408 | + | 0.370347i | ||||
\(325\) | −0.755603 | + | 3.92044i | −0.0419133 | + | 0.217467i | ||||
\(326\) | 0.779298 | − | 16.3595i | 0.0431614 | − | 0.906068i | ||||
\(327\) | 17.9188 | + | 14.0915i | 0.990912 | + | 0.779262i | ||||
\(328\) | −5.81226 | − | 9.04405i | −0.320928 | − | 0.499374i | ||||
\(329\) | −2.02128 | + | 11.6353i | −0.111437 | + | 0.641475i | ||||
\(330\) | −4.70997 | − | 5.43559i | −0.259275 | − | 0.299220i | ||||
\(331\) | 1.58822 | + | 0.635829i | 0.0872967 | + | 0.0349483i | 0.414900 | − | 0.909867i | \(-0.363817\pi\) |
−0.327603 | + | 0.944815i | \(0.606241\pi\) | |||||||
\(332\) | −3.45698 | + | 0.330101i | −0.189726 | + | 0.0181167i | ||||
\(333\) | 1.39828 | − | 1.46647i | 0.0766250 | − | 0.0803620i | ||||
\(334\) | 0.301655 | + | 0.0731808i | 0.0165058 | + | 0.00400427i | ||||
\(335\) | 0.494822 | + | 0.225978i | 0.0270350 | + | 0.0123465i | ||||
\(336\) | 4.75132 | − | 0.314027i | 0.259206 | − | 0.0171316i | ||||
\(337\) | 9.65377 | − | 8.36504i | 0.525874 | − | 0.455673i | −0.351012 | − | 0.936371i | \(-0.614162\pi\) |
0.876886 | + | 0.480698i | \(0.159617\pi\) | |||||||
\(338\) | −11.9397 | − | 1.14010i | −0.649433 | − | 0.0620133i | ||||
\(339\) | 14.7417 | + | 7.59987i | 0.800659 | + | 0.412769i | ||||
\(340\) | −5.01047 | + | 2.00589i | −0.271731 | + | 0.108785i | ||||
\(341\) | 16.1173 | − | 8.30905i | 0.872801 | − | 0.449960i | ||||
\(342\) | −1.08003 | + | 1.24643i | −0.0584016 | + | 0.0673990i | ||||
\(343\) | 16.1088 | + | 9.13812i | 0.869796 | + | 0.493412i | ||||
\(344\) | − | 0.990447i | − | 0.0534013i | ||||||
\(345\) | 3.75063 | − | 7.86602i | 0.201927 | − | 0.423492i | ||||
\(346\) | −16.5802 | + | 9.57257i | −0.891356 | + | 0.514625i | ||||
\(347\) | 6.00337 | + | 24.7462i | 0.322278 | + | 1.32845i | 0.870522 | + | 0.492129i | \(0.163781\pi\) |
−0.548245 | + | 0.836318i | \(0.684704\pi\) | |||||||
\(348\) | −14.4813 | + | 5.01203i | −0.776279 | + | 0.268673i | ||||
\(349\) | −5.05289 | + | 7.86246i | −0.270475 | + | 0.420868i | −0.949747 | − | 0.313019i | \(-0.898660\pi\) |
0.679272 | + | 0.733887i | \(0.262296\pi\) | |||||||
\(350\) | −2.29426 | + | 10.2788i | −0.122633 | + | 0.549428i | ||||
\(351\) | −4.19269 | + | 2.69448i | −0.223789 | + | 0.143821i | ||||
\(352\) | 0.376247 | − | 3.94024i | 0.0200540 | − | 0.210015i | ||||
\(353\) | 21.2926 | + | 7.36944i | 1.13329 | + | 0.392236i | 0.828392 | − | 0.560149i | \(-0.189256\pi\) |
0.304899 | + | 0.952385i | \(0.401377\pi\) | |||||||
\(354\) | 8.29068 | − | 6.51986i | 0.440644 | − | 0.346527i | ||||
\(355\) | −9.04571 | − | 12.7029i | −0.480096 | − | 0.674201i | ||||
\(356\) | 6.55765 | − | 1.92550i | 0.347555 | − | 0.102051i | ||||
\(357\) | −24.2030 | − | 7.88126i | −1.28096 | − | 0.417120i | ||||
\(358\) | 3.82946 | − | 8.38534i | 0.202393 | − | 0.443179i | ||||
\(359\) | −5.59149 | + | 13.9669i | −0.295108 | + | 0.737144i | 0.704515 | + | 0.709689i | \(0.251164\pi\) |
−0.999623 | + | 0.0274547i | \(0.991260\pi\) | |||||||
\(360\) | 0.0789528 | − | 0.228119i | 0.00416118 | − | 0.0120229i | ||||
\(361\) | 16.5794 | − | 23.2826i | 0.872602 | − | 1.22540i | ||||
\(362\) | −0.463492 | − | 9.72990i | −0.0243606 | − | 0.511392i | ||||
\(363\) | −8.31398 | − | 1.19537i | −0.436371 | − | 0.0627406i | ||||
\(364\) | 2.63319 | + | 0.329277i | 0.138017 | + | 0.0172588i | ||||
\(365\) | 4.36523 | + | 3.78249i | 0.228486 | + | 0.197985i | ||||
\(366\) | −16.5117 | − | 17.3170i | −0.863083 | − | 0.905175i | ||||
\(367\) | −10.3454 | − | 17.9187i | −0.540023 | − | 0.935347i | −0.998902 | − | 0.0468485i | \(-0.985082\pi\) |
0.458879 | − | 0.888499i | \(-0.348251\pi\) | |||||||
\(368\) | 4.55737 | − | 1.49345i | 0.237569 | − | 0.0778513i | ||||
\(369\) | −2.22603 | − | 1.28520i | −0.115883 | − | 0.0669049i | ||||
\(370\) | 2.41062 | − | 8.20983i | 0.125322 | − | 0.426809i | ||||
\(371\) | −1.05271 | + | 3.84552i | −0.0546537 | + | 0.199649i | ||||
\(372\) | 6.93612 | + | 4.45757i | 0.359621 | + | 0.231114i | ||||
\(373\) | 22.6504 | − | 28.8024i | 1.17279 | − | 1.49133i | 0.337674 | − | 0.941263i | \(-0.390360\pi\) |
0.835121 | − | 0.550066i | \(-0.185398\pi\) | |||||||
\(374\) | −9.69544 | + | 18.8065i | −0.501339 | + | 0.972462i | ||||
\(375\) | 13.2927 | + | 9.46572i | 0.686434 | + | 0.488808i | ||||
\(376\) | 0.844741 | + | 4.38293i | 0.0435642 | + | 0.226033i | ||||
\(377\) | −8.45324 | + | 1.21539i | −0.435364 | + | 0.0625959i | ||||
\(378\) | −11.2624 | + | 6.78162i | −0.579276 | + | 0.348809i | ||||
\(379\) | 5.00493 | + | 17.0452i | 0.257086 | + | 0.875555i | 0.982345 | + | 0.187079i | \(0.0599019\pi\) |
−0.725259 | + | 0.688476i | \(0.758280\pi\) | |||||||
\(380\) | −1.64193 | + | 6.76814i | −0.0842294 | + | 0.347198i | ||||
\(381\) | 2.05810 | + | 21.5534i | 0.105439 | + | 1.10421i | ||||
\(382\) | −4.99966 | − | 6.35758i | −0.255805 | − | 0.325282i | ||||
\(383\) | −37.3151 | + | 7.19189i | −1.90671 | + | 0.367488i | −0.998678 | − | 0.0514102i | \(-0.983628\pi\) |
−0.908033 | + | 0.418899i | \(0.862416\pi\) | |||||||
\(384\) | 1.63711 | − | 0.747642i | 0.0835433 | − | 0.0381530i | ||||
\(385\) | −5.01698 | − | 9.30712i | −0.255689 | − | 0.474335i | ||||
\(386\) | 1.41374 | − | 9.83275i | 0.0719573 | − | 0.500474i | ||||
\(387\) | −0.108512 | − | 0.210483i | −0.00551596 | − | 0.0106995i | ||||
\(388\) | 15.8683 | + | 3.05837i | 0.805593 | + | 0.155265i | ||||
\(389\) | 29.4481 | − | 7.14403i | 1.49308 | − | 0.362217i | 0.595601 | − | 0.803280i | \(-0.296914\pi\) |
0.897476 | + | 0.441064i | \(0.145399\pi\) | |||||||
\(390\) | 0.911272 | − | 1.57837i | 0.0461441 | − | 0.0799239i | ||||
\(391\) | −25.5837 | − | 1.64288i | −1.29383 | − | 0.0830842i | ||||
\(392\) | 6.91758 | + | 1.07102i | 0.349391 | + | 0.0540946i | ||||
\(393\) | −3.55730 | − | 1.04452i | −0.179442 | − | 0.0526890i | ||||
\(394\) | 3.32170 | + | 9.59743i | 0.167345 | + | 0.483511i | ||||
\(395\) | 5.77610 | + | 0.275150i | 0.290627 | + | 0.0138443i | ||||
\(396\) | −0.351728 | − | 0.878575i | −0.0176750 | − | 0.0441501i | ||||
\(397\) | 19.2945 | − | 0.919110i | 0.968363 | − | 0.0461288i | 0.442563 | − | 0.896737i | \(-0.354069\pi\) |
0.525800 | + | 0.850608i | \(0.323766\pi\) | |||||||
\(398\) | 6.39898 | + | 14.0118i | 0.320752 | + | 0.702349i | ||||
\(399\) | −26.4006 | + | 19.5416i | −1.32169 | + | 0.978303i | ||||
\(400\) | 0.566504 | + | 3.94012i | 0.0283252 | + | 0.197006i | ||||
\(401\) | −12.6384 | + | 8.99973i | −0.631129 | + | 0.449425i | −0.850327 | − | 0.526255i | \(-0.823596\pi\) |
0.219197 | + | 0.975681i | \(0.429656\pi\) | |||||||
\(402\) | 0.701795 | + | 0.669160i | 0.0350023 | + | 0.0333747i | ||||
\(403\) | 3.32552 | + | 3.17087i | 0.165656 | + | 0.157952i | ||||
\(404\) | −2.35951 | + | 1.68020i | −0.117390 | + | 0.0835929i | ||||
\(405\) | 1.38802 | + | 9.65391i | 0.0689714 | + | 0.479706i | ||||
\(406\) | −22.3823 | + | 2.55355i | −1.11081 | + | 0.126730i | ||||
\(407\) | −13.9349 | − | 30.5132i | −0.690727 | − | 1.51248i | ||||
\(408\) | −9.60978 | + | 0.457770i | −0.475755 | + | 0.0226630i | ||||
\(409\) | −0.166549 | − | 0.416019i | −0.00823531 | − | 0.0205708i | 0.924193 | − | 0.381925i | \(-0.124739\pi\) |
−0.932429 | + | 0.361354i | \(0.882315\pi\) | |||||||
\(410\) | −10.8420 | − | 0.516466i | −0.535446 | − | 0.0255064i | ||||
\(411\) | 11.2755 | + | 32.5783i | 0.556178 | + | 1.60697i | ||||
\(412\) | −5.79558 | − | 1.70174i | −0.285528 | − | 0.0838385i | ||||
\(413\) | 13.9831 | − | 6.69943i | 0.688063 | − | 0.329657i | ||||
\(414\) | 0.804884 | − | 0.816676i | 0.0395579 | − | 0.0401374i | ||||
\(415\) | −1.75308 | + | 3.03642i | −0.0860553 | + | 0.149052i | ||||
\(416\) | 0.974730 | − | 0.236467i | 0.0477901 | − | 0.0115937i | ||||
\(417\) | −19.3594 | − | 3.73121i | −0.948032 | − | 0.182718i | ||||
\(418\) | 12.5111 | + | 24.2682i | 0.611940 | + | 1.18700i | ||||
\(419\) | 0.756559 | − | 5.26198i | 0.0369603 | − | 0.257065i | −0.962961 | − | 0.269642i | \(-0.913095\pi\) |
0.999921 | + | 0.0125776i | \(0.00400367\pi\) | |||||||
\(420\) | 2.52432 | − | 4.09151i | 0.123174 | − | 0.199645i | ||||
\(421\) | 11.1061 | − | 5.07199i | 0.541279 | − | 0.247194i | −0.125963 | − | 0.992035i | \(-0.540202\pi\) |
0.667242 | + | 0.744841i | \(0.267475\pi\) | |||||||
\(422\) | −2.91834 | + | 0.562464i | −0.142063 | + | 0.0273803i | ||||
\(423\) | 0.659706 | + | 0.838885i | 0.0320760 | + | 0.0407880i | ||||
\(424\) | 0.143244 | + | 1.50012i | 0.00695656 | + | 0.0728524i | ||||
\(425\) | 5.01666 | − | 20.6790i | 0.243344 | − | 1.00308i | ||||
\(426\) | −7.83171 | − | 26.6724i | −0.379448 | − | 1.29228i | ||||
\(427\) | −18.1448 | − | 30.1336i | −0.878088 | − | 1.45827i | ||||
\(428\) | 2.11728 | − | 0.304420i | 0.102343 | − | 0.0147147i | ||||
\(429\) | −1.35222 | − | 7.01596i | −0.0652856 | − | 0.338734i | ||||
\(430\) | −0.814567 | − | 0.580051i | −0.0392819 | − | 0.0279725i | ||||
\(431\) | 8.06404 | − | 15.6420i | 0.388431 | − | 0.753451i | −0.610835 | − | 0.791758i | \(-0.709166\pi\) |
0.999266 | + | 0.0383070i | \(0.0121965\pi\) | |||||||
\(432\) | −3.07159 | + | 3.90585i | −0.147782 | + | 0.187920i | ||||
\(433\) | −21.1924 | − | 13.6195i | −1.01844 | − | 0.654513i | −0.0788776 | − | 0.996884i | \(-0.525134\pi\) |
−0.939565 | + | 0.342371i | \(0.888770\pi\) | |||||||
\(434\) | 8.52418 | + | 8.61679i | 0.409174 | + | 0.413619i | ||||
\(435\) | −4.35890 | + | 14.8450i | −0.208993 | + | 0.711765i | ||||
\(436\) | 10.9692 | + | 6.33309i | 0.525331 | + | 0.303300i | ||||
\(437\) | −20.8767 | + | 25.6624i | −0.998668 | + | 1.22760i | ||||
\(438\) | 5.14809 | + | 8.91676i | 0.245985 | + | 0.426059i | ||||
\(439\) | −13.0738 | − | 13.7114i | −0.623977 | − | 0.654408i | 0.333556 | − | 0.942730i | \(-0.391751\pi\) |
−0.957534 | + | 0.288322i | \(0.906903\pi\) | |||||||
\(440\) | −3.02020 | − | 2.61702i | −0.143982 | − | 0.124761i | ||||
\(441\) | 1.58742 | − | 0.530273i | 0.0755914 | − | 0.0252511i | ||||
\(442\) | −5.30705 | − | 0.763038i | −0.252431 | − | 0.0362940i | ||||
\(443\) | −0.937574 | − | 19.6821i | −0.0445455 | − | 0.935125i | −0.904951 | − | 0.425515i | \(-0.860093\pi\) |
0.860406 | − | 0.509610i | \(-0.170210\pi\) | |||||||
\(444\) | 8.84730 | − | 12.4243i | 0.419874 | − | 0.589631i | ||||
\(445\) | 2.25688 | − | 6.52082i | 0.106986 | − | 0.309117i | ||||
\(446\) | 4.07748 | − | 10.1850i | 0.193074 | − | 0.482276i | ||||
\(447\) | 7.90007 | − | 17.2987i | 0.373661 | − | 0.818203i | ||||
\(448\) | 2.58829 | − | 0.548418i | 0.122285 | − | 0.0259103i | ||||
\(449\) | −14.7440 | + | 4.32923i | −0.695813 | + | 0.204309i | −0.610466 | − | 0.792042i | \(-0.709018\pi\) |
−0.0853467 | + | 0.996351i | \(0.527200\pi\) | |||||||
\(450\) | 0.552063 | + | 0.775264i | 0.0260245 | + | 0.0365463i | ||||
\(451\) | −33.4488 | + | 26.3045i | −1.57504 | + | 1.23863i | ||||
\(452\) | 8.70857 | + | 3.01406i | 0.409617 | + | 0.141770i | ||||
\(453\) | −3.46308 | + | 36.2670i | −0.162710 | + | 1.70397i | ||||
\(454\) | 1.96527 | − | 1.26301i | 0.0922349 | − | 0.0592758i | ||||
\(455\) | 1.81292 | − | 1.97276i | 0.0849910 | − | 0.0924843i | ||||
\(456\) | −6.71187 | + | 10.4439i | −0.314312 | + | 0.489080i | ||||
\(457\) | −10.6034 | + | 3.66986i | −0.496005 | + | 0.171669i | −0.563606 | − | 0.826043i | \(-0.690587\pi\) |
0.0676016 | + | 0.997712i | \(0.478465\pi\) | |||||||
\(458\) | −2.90745 | − | 11.9847i | −0.135856 | − | 0.560007i | ||||
\(459\) | 23.0032 | − | 13.2809i | 1.07370 | − | 0.619899i | ||||
\(460\) | 1.44076 | − | 4.62272i | 0.0671756 | − | 0.215535i | ||||
\(461\) | − | 21.2482i | − | 0.989628i | −0.868999 | − | 0.494814i | \(-0.835236\pi\) | ||
0.868999 | − | 0.494814i | \(-0.164764\pi\) | |||||||
\(462\) | −3.02501 | − | 18.6032i | −0.140736 | − | 0.865498i | ||||
\(463\) | 21.7712 | − | 25.1253i | 1.01179 | − | 1.16767i | 0.0260089 | − | 0.999662i | \(-0.491720\pi\) |
0.985785 | − | 0.168011i | \(-0.0537344\pi\) | |||||||
\(464\) | −7.56807 | + | 3.90161i | −0.351339 | + | 0.181128i | ||||
\(465\) | 7.72812 | − | 3.09387i | 0.358383 | − | 0.143475i | ||||
\(466\) | 13.7907 | + | 7.10962i | 0.638844 | + | 0.329347i | ||||
\(467\) | −24.0677 | − | 2.29819i | −1.11372 | − | 0.106347i | −0.478068 | − | 0.878323i | \(-0.658663\pi\) |
−0.635653 | + | 0.771975i | \(0.719269\pi\) | |||||||
\(468\) | 0.181237 | − | 0.157042i | 0.00837766 | − | 0.00725929i | ||||
\(469\) | 0.792615 | + | 1.18483i | 0.0365996 | + | 0.0547104i | ||||
\(470\) | 4.09935 | + | 1.87211i | 0.189089 | + | 0.0863540i | ||||
\(471\) | −11.6386 | − | 2.82350i | −0.536280 | − | 0.130100i | ||||
\(472\) | 4.04413 | − | 4.24136i | 0.186146 | − | 0.195225i | ||||
\(473\) | −3.90260 | + | 0.372653i | −0.179442 | + | 0.0171346i | ||||
\(474\) | 9.56962 | + | 3.83110i | 0.439547 | + | 0.175968i | ||||
\(475\) | −17.9815 | − | 20.7517i | −0.825046 | − | 0.952154i | ||||
\(476\) | −13.9343 | − | 2.42067i | −0.638680 | − | 0.110951i | ||||
\(477\) | 0.194792 | + | 0.303103i | 0.00891893 | + | 0.0138781i | ||||
\(478\) | 4.85995 | + | 3.82190i | 0.222289 | + | 0.174810i | ||||
\(479\) | −0.770909 | + | 16.1834i | −0.0352237 | + | 0.739437i | 0.910313 | + | 0.413921i | \(0.135841\pi\) |
−0.945537 | + | 0.325516i | \(0.894462\pi\) | |||||||
\(480\) | 0.343886 | − | 1.78425i | 0.0156962 | − | 0.0814395i | ||||
\(481\) | 6.15191 | − | 5.86583i | 0.280503 | − | 0.267459i | ||||
\(482\) | −6.12385 | −0.278934 | ||||||||
\(483\) | 19.1880 | − | 12.3821i | 0.873082 | − | 0.563404i | ||||
\(484\) | −4.66703 | −0.212138 | ||||||||
\(485\) | 11.8085 | − | 11.2594i | 0.536197 | − | 0.511262i | ||||
\(486\) | −0.469145 | + | 2.43415i | −0.0212808 | + | 0.110415i | ||||
\(487\) | −1.51585 | + | 31.8217i | −0.0686899 | + | 1.44198i | 0.656966 | + | 0.753920i | \(0.271839\pi\) |
−0.725656 | + | 0.688058i | \(0.758464\pi\) | |||||||
\(488\) | −10.4504 | − | 8.21832i | −0.473069 | − | 0.372026i | ||||
\(489\) | −15.9361 | − | 24.7971i | −0.720656 | − | 1.12136i | ||||
\(490\) | 4.93208 | − | 5.06195i | 0.222809 | − | 0.228675i | ||||
\(491\) | −10.7342 | − | 12.3879i | −0.484426 | − | 0.559058i | 0.459941 | − | 0.887949i | \(-0.347870\pi\) |
−0.944368 | + | 0.328892i | \(0.893325\pi\) | |||||||
\(492\) | −17.9625 | − | 7.19111i | −0.809814 | − | 0.324200i | ||||
\(493\) | 45.3092 | − | 4.32651i | 2.04062 | − | 0.194856i | ||||
\(494\) | −4.77446 | + | 5.00731i | −0.214813 | + | 0.225290i | ||||
\(495\) | −0.928549 | − | 0.225264i | −0.0417352 | − | 0.0101248i | ||||
\(496\) | 4.16719 | + | 1.90309i | 0.187112 | + | 0.0854514i | ||||
\(497\) | −2.69503 | − | 40.7765i | −0.120889 | − | 1.82908i | ||||
\(498\) | −4.72342 | + | 4.09287i | −0.211662 | + | 0.183406i | ||||
\(499\) | −8.37436 | − | 0.799654i | −0.374888 | − | 0.0357974i | −0.0940882 | − | 0.995564i | \(-0.529994\pi\) |
−0.280800 | + | 0.959766i | \(0.590600\pi\) | |||||||
\(500\) | 8.05921 | + | 4.15481i | 0.360419 | + | 0.185809i | ||||
\(501\) | 0.518634 | − | 0.207630i | 0.0231708 | − | 0.00927620i | ||||
\(502\) | −1.03821 | + | 0.535234i | −0.0463375 | + | 0.0238887i | ||||
\(503\) | −6.26752 | + | 7.23310i | −0.279455 | + | 0.322508i | −0.878073 | − | 0.478526i | \(-0.841171\pi\) |
0.598618 | + | 0.801034i | \(0.295717\pi\) | |||||||
\(504\) | 0.489963 | − | 0.400115i | 0.0218247 | − | 0.0178225i | ||||
\(505\) | 2.92451i | 0.130139i | ||||||||
\(506\) | −7.59923 | − | 17.3952i | −0.337827 | − | 0.773311i | ||||
\(507\) | −18.6942 | + | 10.7931i | −0.830236 | + | 0.479337i | ||||
\(508\) | 2.83624 | + | 11.6911i | 0.125838 | + | 0.518710i | ||||
\(509\) | −22.0641 | + | 7.63645i | −0.977973 | + | 0.338480i | −0.768864 | − | 0.639413i | \(-0.779178\pi\) |
−0.209109 | + | 0.977892i | \(0.567056\pi\) | |||||||
\(510\) | −5.25144 | + | 8.17140i | −0.232538 | + | 0.361836i | ||||
\(511\) | 4.53077 | + | 14.4421i | 0.200429 | + | 0.638880i | ||||
\(512\) | 0.841254 | − | 0.540641i | 0.0371785 | − | 0.0238932i | ||||
\(513\) | 3.25812 | − | 34.1205i | 0.143849 | − | 1.50646i | ||||
\(514\) | 11.8530 | + | 4.10238i | 0.522815 | + | 0.180948i | ||||
\(515\) | −4.79370 | + | 3.76981i | −0.211236 | + | 0.166118i | ||||
\(516\) | −1.03398 | − | 1.45203i | −0.0455186 | − | 0.0639219i | ||||
\(517\) | 16.9520 | − | 4.97755i | 0.745547 | − | 0.218912i | ||||
\(518\) | 16.6726 | − | 14.9926i | 0.732550 | − | 0.658739i | ||||
\(519\) | −14.3137 | + | 31.3427i | −0.628302 | + | 1.37579i | ||||
\(520\) | 0.376370 | − | 0.940127i | 0.0165049 | − | 0.0412273i | ||||
\(521\) | 4.70048 | − | 13.5812i | 0.205932 | − | 0.595001i | −0.793984 | − | 0.607938i | \(-0.791997\pi\) |
0.999916 | + | 0.0129368i | \(0.00411803\pi\) | |||||||
\(522\) | −1.18086 | + | 1.65829i | −0.0516850 | + | 0.0725814i | ||||
\(523\) | 0.808789 | + | 16.9786i | 0.0353659 | + | 0.742421i | 0.945012 | + | 0.327036i | \(0.106050\pi\) |
−0.909646 | + | 0.415385i | \(0.863647\pi\) | |||||||
\(524\) | −2.03903 | − | 0.293169i | −0.0890756 | − | 0.0128071i | ||||
\(525\) | 7.36721 | + | 17.4642i | 0.321531 | + | 0.762201i | ||||
\(526\) | 5.90492 | + | 5.11664i | 0.257467 | + | 0.223096i | ||||
\(527\) | −16.8994 | − | 17.7235i | −0.736148 | − | 0.772050i | ||||
\(528\) | −3.56184 | − | 6.16930i | −0.155009 | − | 0.268484i | ||||
\(529\) | 15.6281 | − | 16.8750i | 0.679480 | − | 0.733694i | ||||
\(530\) | 1.31763 | + | 0.760732i | 0.0572340 | + | 0.0330441i | ||||
\(531\) | 0.394756 | − | 1.34442i | 0.0171310 | − | 0.0583427i | ||||
\(532\) | −12.9745 | + | 12.8351i | −0.562517 | + | 0.556471i | ||||
\(533\) | −9.07121 | − | 5.82971i | −0.392918 | − | 0.252513i | ||||
\(534\) | 7.60358 | − | 9.66874i | 0.329039 | − | 0.418407i | ||||
\(535\) | 0.989616 | − | 1.91959i | 0.0427848 | − | 0.0829910i | ||||
\(536\) | 0.438885 | + | 0.312529i | 0.0189570 | + | 0.0134992i | ||||
\(537\) | −3.13982 | − | 16.2910i | −0.135493 | − | 0.703007i | ||||
\(538\) | −16.4727 | + | 2.36842i | −0.710190 | + | 0.102110i | ||||
\(539\) | 1.61735 | − | 27.6599i | 0.0696640 | − | 1.19139i | ||||
\(540\) | 1.41340 | + | 4.81359i | 0.0608230 | + | 0.207144i | ||||
\(541\) | −5.82675 | + | 24.0182i | −0.250512 | + | 1.03262i | 0.698055 | + | 0.716044i | \(0.254049\pi\) |
−0.948566 | + | 0.316578i | \(0.897466\pi\) | |||||||
\(542\) | 0.529797 | + | 5.54828i | 0.0227567 | + | 0.238319i | ||||
\(543\) | −10.8371 | − | 13.7805i | −0.465064 | − | 0.591376i | ||||
\(544\) | −5.24897 | + | 1.01166i | −0.225048 | + | 0.0433744i | ||||
\(545\) | 11.6326 | − | 5.31241i | 0.498284 | − | 0.227559i | ||||
\(546\) | 4.20409 | − | 2.26620i | 0.179918 | − | 0.0969846i | ||||
\(547\) | −6.46663 | + | 44.9764i | −0.276493 | + | 1.92305i | 0.0967334 | + | 0.995310i | \(0.469161\pi\) |
−0.373226 | + | 0.927740i | \(0.621749\pi\) | |||||||
\(548\) | 8.77738 | + | 17.0257i | 0.374951 | + | 0.727304i | ||||
\(549\) | −3.12125 | − | 0.601571i | −0.133212 | − | 0.0256744i | ||||
\(550\) | 15.3119 | − | 3.71462i | 0.652900 | − | 0.158392i | ||||
\(551\) | 29.3668 | − | 50.8648i | 1.25107 | − | 2.16692i | ||||
\(552\) | 5.12215 | − | 6.94713i | 0.218013 | − | 0.295690i | ||||
\(553\) | 12.5033 | + | 8.56131i | 0.531692 | + | 0.364064i | ||||
\(554\) | 7.28488 | + | 2.13903i | 0.309505 | + | 0.0908788i | ||||
\(555\) | −5.03666 | − | 14.5525i | −0.213794 | − | 0.617718i | ||||
\(556\) | −10.9423 | − | 0.521245i | −0.464056 | − | 0.0221057i | ||||
\(557\) | −13.2238 | − | 33.0314i | −0.560309 | − | 1.39958i | −0.890202 | − | 0.455565i | \(-0.849437\pi\) |
0.329894 | − | 0.944018i | \(-0.392987\pi\) | |||||||
\(558\) | 1.09408 | − | 0.0521177i | 0.0463163 | − | 0.00220632i | ||||
\(559\) | −0.412682 | − | 0.903648i | −0.0174546 | − | 0.0382202i | ||||
\(560\) | 1.06479 | − | 2.44985i | 0.0449955 | − | 0.103525i | ||||
\(561\) | 5.41937 | + | 37.6926i | 0.228806 | + | 1.59138i | ||||
\(562\) | 22.0108 | − | 15.6738i | 0.928471 | − | 0.661161i | ||||
\(563\) | −13.0818 | − | 12.4735i | −0.551332 | − | 0.525694i | 0.362394 | − | 0.932025i | \(-0.381959\pi\) |
−0.913726 | + | 0.406331i | \(0.866808\pi\) | |||||||
\(564\) | 5.81401 | + | 5.54365i | 0.244814 | + | 0.233430i | ||||
\(565\) | 7.57897 | − | 5.39696i | 0.318850 | − | 0.227052i | ||||
\(566\) | 1.36408 | + | 9.48735i | 0.0573364 | + | 0.398783i | ||||
\(567\) | −10.1878 | + | 23.4400i | −0.427848 | + | 0.984387i | ||||
\(568\) | −6.41638 | − | 14.0499i | −0.269225 | − | 0.589521i | ||||
\(569\) | −41.5000 | + | 1.97689i | −1.73977 | + | 0.0828755i | −0.893273 | − | 0.449515i | \(-0.851597\pi\) |
−0.846499 | + | 0.532391i | \(0.821294\pi\) | |||||||
\(570\) | 4.65852 | + | 11.6364i | 0.195124 | + | 0.487396i | ||||
\(571\) | −19.0850 | − | 0.909129i | −0.798681 | − | 0.0380459i | −0.355727 | − | 0.934590i | \(-0.615767\pi\) |
−0.442954 | + | 0.896544i | \(0.646070\pi\) | |||||||
\(572\) | −1.29848 | − | 3.75170i | −0.0542920 | − | 0.156866i | ||||
\(573\) | −13.9667 | − | 4.10099i | −0.583467 | − | 0.171321i | ||||
\(574\) | −23.4691 | − | 16.0699i | −0.979580 | − | 0.670745i | ||||
\(575\) | 11.5513 | + | 15.1991i | 0.481724 | + | 0.633847i | ||||
\(576\) | 0.119546 | − | 0.207060i | 0.00498109 | − | 0.00862750i | ||||
\(577\) | 24.3219 | − | 5.90042i | 1.01253 | − | 0.245638i | 0.305026 | − | 0.952344i | \(-0.401335\pi\) |
0.707507 | + | 0.706706i | \(0.249820\pi\) | |||||||
\(578\) | 11.3659 | + | 2.19060i | 0.472760 | + | 0.0911170i | ||||
\(579\) | −8.19238 | − | 15.8910i | −0.340464 | − | 0.660408i | ||||
\(580\) | −1.22343 | + | 8.50912i | −0.0508000 | + | 0.353322i | ||||
\(581\) | −8.08770 | + | 4.35966i | −0.335534 | + | 0.180869i | ||||
\(582\) | 26.4563 | − | 12.0822i | 1.09665 | − | 0.500823i | ||||
\(583\) | 5.85694 | − | 1.12883i | 0.242570 | − | 0.0467515i | ||||
\(584\) | 3.53643 | + | 4.49694i | 0.146338 | + | 0.186085i | ||||
\(585\) | −0.0230150 | − | 0.241024i | −0.000951555 | − | 0.00996513i | ||||
\(586\) | −1.31305 | + | 5.41248i | −0.0542417 | + | 0.223587i | ||||
\(587\) | 3.71389 | + | 12.6484i | 0.153289 | + | 0.522054i | 0.999949 | − | 0.0100798i | \(-0.00320856\pi\) |
−0.846660 | + | 0.532134i | \(0.821390\pi\) | |||||||
\(588\) | 11.2595 | − | 5.65150i | 0.464333 | − | 0.233064i | ||||
\(589\) | −31.2794 | + | 4.49729i | −1.28884 | + | 0.185308i | ||||
\(590\) | −1.11977 | − | 5.80992i | −0.0461002 | − | 0.239191i | ||||
\(591\) | 14.8890 | + | 10.6024i | 0.612452 | + | 0.436125i | ||||
\(592\) | 3.88337 | − | 7.53269i | 0.159605 | − | 0.309591i | ||||
\(593\) | 17.1840 | − | 21.8512i | 0.705662 | − | 0.897322i | −0.292601 | − | 0.956235i | \(-0.594521\pi\) |
0.998263 | + | 0.0589121i | \(0.0187632\pi\) | |||||||
\(594\) | 16.5456 | + | 10.6332i | 0.678876 | + | 0.436287i | ||||
\(595\) | −10.1514 | + | 10.0423i | −0.416167 | + | 0.411694i | ||||
\(596\) | 2.97697 | − | 10.1386i | 0.121941 | − | 0.415294i | ||||
\(597\) | 24.0088 | + | 13.8615i | 0.982616 | + | 0.567313i | ||||
\(598\) | 3.53572 | − | 3.26145i | 0.144586 | − | 0.133371i | ||||
\(599\) | 14.1766 | + | 24.5546i | 0.579241 | + | 1.00328i | 0.995567 | + | 0.0940598i | \(0.0299845\pi\) |
−0.416325 | + | 0.909216i | \(0.636682\pi\) | |||||||
\(600\) | 4.94383 | + | 5.18494i | 0.201831 | + | 0.211674i | ||||
\(601\) | 15.3116 | + | 13.2675i | 0.624572 | + | 0.541194i | 0.908624 | − | 0.417614i | \(-0.137134\pi\) |
−0.284053 | + | 0.958809i | \(0.591679\pi\) | |||||||
\(602\) | −1.01852 | − | 2.41444i | −0.0415118 | − | 0.0984052i | ||||
\(603\) | 0.127509 | + | 0.0183331i | 0.00519258 | + | 0.000746580i | ||||
\(604\) | 0.963192 | + | 20.2199i | 0.0391917 | + | 0.822736i | ||||
\(605\) | −2.73322 | + | 3.83827i | −0.111121 | + | 0.156048i | ||||
\(606\) | −1.70506 | + | 4.92644i | −0.0692633 | + | 0.200123i | ||||
\(607\) | 2.57240 | − | 6.42555i | 0.104411 | − | 0.260805i | −0.866959 | − | 0.498380i | \(-0.833928\pi\) |
0.971369 | + | 0.237575i | \(0.0763526\pi\) | |||||||
\(608\) | −2.86553 | + | 6.27464i | −0.116213 | + | 0.254470i | ||||
\(609\) | −30.1474 | + | 27.1097i | −1.22163 | + | 1.09854i | ||||
\(610\) | −12.8792 | + | 3.78167i | −0.521463 | + | 0.153115i | ||||
\(611\) | 2.59692 | + | 3.64686i | 0.105060 | + | 0.147536i | ||||
\(612\) | −1.00464 | + | 0.790059i | −0.0406102 | + | 0.0319362i | ||||
\(613\) | 3.60332 | + | 1.24712i | 0.145537 | + | 0.0503708i | 0.398865 | − | 0.917010i | \(-0.369404\pi\) |
−0.253328 | + | 0.967380i | \(0.581525\pi\) | |||||||
\(614\) | 2.18591 | − | 22.8919i | 0.0882163 | − | 0.923843i | ||||
\(615\) | −16.4338 | + | 10.5614i | −0.662676 | + | 0.425876i | ||||
\(616\) | −3.13473 | − | 9.99213i | −0.126302 | − | 0.402594i | ||||
\(617\) | 23.4895 | − | 36.5503i | 0.945650 | − | 1.47146i | 0.0648925 | − | 0.997892i | \(-0.479330\pi\) |
0.880757 | − | 0.473568i | \(-0.157034\pi\) | |||||||
\(618\) | −10.2730 | + | 3.55553i | −0.413242 | + | 0.143025i | ||||
\(619\) | 7.11391 | + | 29.3239i | 0.285932 | + | 1.17863i | 0.915706 | + | 0.401850i | \(0.131633\pi\) |
−0.629773 | + | 0.776779i | \(0.716852\pi\) | |||||||
\(620\) | 4.00565 | − | 2.31266i | 0.160871 | − | 0.0928787i | ||||
\(621\) | −3.78076 | + | 23.5284i | −0.151717 | + | 0.944161i | ||||
\(622\) | 10.3035i | 0.413134i | ||||||||
\(623\) | 14.0057 | − | 11.4374i | 0.561125 | − | 0.458228i | ||||
\(624\) | 1.18212 | − | 1.36424i | 0.0473228 | − | 0.0546135i | ||||
\(625\) | −9.55380 | + | 4.92533i | −0.382152 | + | 0.197013i | ||||
\(626\) | −21.6966 | + | 8.68599i | −0.867169 | + | 0.347162i | ||||
\(627\) | 43.6767 | + | 22.5169i | 1.74428 | + | 0.899238i | ||||
\(628\) | −6.62426 | − | 0.632540i | −0.264337 | − | 0.0252411i | ||||
\(629\) | −34.2374 | + | 29.6668i | −1.36513 | + | 1.18289i | ||||
\(630\) | −0.0421197 | − | 0.637283i | −0.00167809 | − | 0.0253899i | ||||
\(631\) | −21.5462 | − | 9.83983i | −0.857742 | − | 0.391717i | −0.0625253 | − | 0.998043i | \(-0.519915\pi\) |
−0.795216 | + | 0.606326i | \(0.792643\pi\) | |||||||
\(632\) | 5.56602 | + | 1.35030i | 0.221404 | + | 0.0537121i | ||||
\(633\) | −3.69119 | + | 3.87121i | −0.146712 | + | 0.153867i | ||||
\(634\) | −2.17371 | + | 0.207564i | −0.0863289 | + | 0.00824341i | ||||
\(635\) | 11.2761 | + | 4.51427i | 0.447478 | + | 0.179143i | ||||
\(636\) | 1.77606 | + | 2.04968i | 0.0704254 | + | 0.0812753i | ||||
\(637\) | 6.75760 | − | 1.90514i | 0.267746 | − | 0.0754844i | ||||
\(638\) | 18.2207 | + | 28.3520i | 0.721366 | + | 1.12247i | ||||
\(639\) | −2.90285 | − | 2.28283i | −0.114835 | − | 0.0903073i | ||||
\(640\) | 0.0480403 | − | 1.00849i | 0.00189896 | − | 0.0398641i | ||||
\(641\) | 3.72070 | − | 19.3048i | 0.146959 | − | 0.762495i | −0.831415 | − | 0.555651i | \(-0.812469\pi\) |
0.978374 | − | 0.206843i | \(-0.0663190\pi\) | |||||||
\(642\) | 2.78620 | − | 2.65664i | 0.109963 | − | 0.104849i | ||||
\(643\) | 4.64002 | 0.182985 | 0.0914924 | − | 0.995806i | \(-0.470836\pi\) | ||||
0.0914924 | + | 0.995806i | \(0.470836\pi\) | |||||||
\(644\) | 9.57384 | − | 8.32716i | 0.377262 | − | 0.328136i | ||||
\(645\) | −1.79973 | −0.0708642 | ||||||||
\(646\) | 26.6868 | − | 25.4458i | 1.04998 | − | 1.00115i | ||||
\(647\) | −2.37430 | + | 12.3191i | −0.0933435 | + | 0.484312i | 0.904929 | + | 0.425562i | \(0.139924\pi\) |
−0.998273 | + | 0.0587500i | \(0.981289\pi\) | |||||||
\(648\) | −0.459647 | + | 9.64917i | −0.0180566 | + | 0.379055i | ||||
\(649\) | −18.2336 | − | 14.3390i | −0.715730 | − | 0.562856i | ||||
\(650\) | 2.15856 | + | 3.35878i | 0.0846657 | + | 0.131742i | ||||
\(651\) | 21.4923 | + | 3.73362i | 0.842348 | + | 0.146332i | ||||
\(652\) | −10.7253 | − | 12.3777i | −0.420037 | − | 0.484748i | ||||
\(653\) | 23.9893 | + | 9.60385i | 0.938773 | + | 0.375828i | 0.790044 | − | 0.613050i | \(-0.210058\pi\) |
0.148729 | + | 0.988878i | \(0.452482\pi\) | |||||||
\(654\) | 22.6927 | − | 2.16689i | 0.887355 | − | 0.0847321i | ||||
\(655\) | −1.43526 | + | 1.50526i | −0.0560802 | + | 0.0588152i | ||||
\(656\) | −10.4476 | − | 2.53457i | −0.407912 | − | 0.0989583i | ||||
\(657\) | 1.24422 | + | 0.568215i | 0.0485415 | + | 0.0221682i | ||||
\(658\) | 6.56641 | + | 9.81571i | 0.255985 | + | 0.382656i | ||||
\(659\) | −28.4834 | + | 24.6810i | −1.10955 | + | 0.961434i | −0.999472 | − | 0.0324885i | \(-0.989657\pi\) |
−0.110082 | + | 0.993923i | \(0.535111\pi\) | |||||||
\(660\) | −7.15975 | − | 0.683674i | −0.278693 | − | 0.0266120i | ||||
\(661\) | −20.0169 | − | 10.3194i | −0.778566 | − | 0.401379i | 0.0226577 | − | 0.999743i | \(-0.492787\pi\) |
−0.801224 | + | 0.598364i | \(0.795818\pi\) | |||||||
\(662\) | 1.58822 | − | 0.635829i | 0.0617281 | − | 0.0247122i | ||||
\(663\) | −8.57688 | + | 4.42169i | −0.333098 | + | 0.171724i | ||||
\(664\) | −2.27414 | + | 2.62449i | −0.0882536 | + | 0.101850i | ||||
\(665\) | 2.95740 | + | 18.1874i | 0.114683 | + | 0.705275i | ||||
\(666\) | − | 2.02625i | − | 0.0785158i | ||||||
\(667\) | −22.6416 | + | 33.9826i | −0.876684 | + | 1.31581i | ||||
\(668\) | 0.268819 | − | 0.155203i | 0.0104009 | − | 0.00600497i | ||||
\(669\) | −4.65503 | − | 19.1883i | −0.179974 | − | 0.741862i | ||||
\(670\) | 0.514062 | − | 0.177919i | 0.0198600 | − | 0.00687360i | ||||
\(671\) | −28.4502 | + | 44.2693i | −1.09831 | + | 1.70900i | ||||
\(672\) | 3.22199 | − | 3.50606i | 0.124291 | − | 0.135249i | ||||
\(673\) | −42.6874 | + | 27.4335i | −1.64548 | + | 1.05749i | −0.709940 | + | 0.704262i | \(0.751278\pi\) |
−0.935539 | + | 0.353223i | \(0.885086\pi\) | |||||||
\(674\) | 1.21422 | − | 12.7159i | 0.0467702 | − | 0.489799i | ||||
\(675\) | −18.6917 | − | 6.46926i | −0.719443 | − | 0.249002i | ||||
\(676\) | −9.42791 | + | 7.41419i | −0.362612 | + | 0.285161i | ||||
\(677\) | 3.21157 | + | 4.51002i | 0.123431 | + | 0.173334i | 0.871668 | − | 0.490097i | \(-0.163039\pi\) |
−0.748237 | + | 0.663432i | \(0.769099\pi\) | |||||||
\(678\) | 15.9136 | − | 4.67265i | 0.611158 | − | 0.179452i | ||||
\(679\) | 41.8277 | − | 8.86265i | 1.60520 | − | 0.340117i | ||||
\(680\) | −2.24202 | + | 4.90935i | −0.0859777 | + | 0.188265i | ||||
\(681\) | 1.56263 | − | 3.90327i | 0.0598802 | − | 0.149573i | ||||
\(682\) | 5.93074 | − | 17.1358i | 0.227100 | − | 0.656162i | ||||
\(683\) | 4.87478 | − | 6.84567i | 0.186528 | − | 0.261942i | −0.710714 | − | 0.703481i | \(-0.751628\pi\) |
0.897242 | + | 0.441539i | \(0.145567\pi\) | |||||||
\(684\) | 0.0784749 | + | 1.64739i | 0.00300056 | + | 0.0629896i | ||||
\(685\) | 19.1428 | + | 2.75232i | 0.731409 | + | 0.105161i | ||||
\(686\) | 17.9645 | − | 4.50281i | 0.685889 | − | 0.171918i | ||||
\(687\) | −16.7739 | − | 14.5347i | −0.639964 | − | 0.554532i | ||||
\(688\) | −0.683487 | − | 0.716820i | −0.0260577 | − | 0.0273285i | ||||
\(689\) | 0.755736 | + | 1.30897i | 0.0287912 | + | 0.0498679i | ||||
\(690\) | −2.71372 | − | 8.28114i | −0.103310 | − | 0.315258i | ||||
\(691\) | 40.9429 | + | 23.6384i | 1.55754 | + | 0.899247i | 0.997491 | + | 0.0707888i | \(0.0225517\pi\) |
0.560051 | + | 0.828458i | \(0.310782\pi\) | |||||||
\(692\) | −5.39381 | + | 18.3696i | −0.205042 | + | 0.698309i | ||||
\(693\) | −1.76090 | − | 1.78003i | −0.0668909 | − | 0.0676176i | ||||
\(694\) | 21.4217 | + | 13.7669i | 0.813156 | + | 0.522584i | ||||
\(695\) | −6.83697 | + | 8.69392i | −0.259341 | + | 0.329779i | ||||
\(696\) | −7.02192 | + | 13.6206i | −0.266165 | + | 0.516288i | ||||
\(697\) | 46.8124 | + | 33.3350i | 1.77315 | + | 1.26265i | ||||
\(698\) | 1.76876 | + | 9.17722i | 0.0669487 | + | 0.347363i | ||||
\(699\) | 27.6398 | − | 3.97400i | 1.04543 | − | 0.150311i | ||||
\(700\) | 5.43278 | + | 9.02238i | 0.205340 | + | 0.341014i | ||||
\(701\) | 1.57678 | + | 5.37002i | 0.0595542 | + | 0.202823i | 0.983896 | − | 0.178743i | \(-0.0572031\pi\) |
−0.924342 | + | 0.381566i | \(0.875385\pi\) | |||||||
\(702\) | −1.17499 | + | 4.84337i | −0.0443471 | + | 0.182801i | ||||
\(703\) | 5.55689 | + | 58.1943i | 0.209582 | + | 2.19484i | ||||
\(704\) | −2.44677 | − | 3.11132i | −0.0922162 | − | 0.117262i | ||||
\(705\) | 7.96417 | − | 1.53497i | 0.299948 | − | 0.0578103i | ||||
\(706\) | 20.4957 | − | 9.36006i | 0.771365 | − | 0.352271i | ||||
\(707\) | −4.02401 | + | 6.52225i | −0.151338 | + | 0.245294i | ||||
\(708\) | 1.50103 | − | 10.4399i | 0.0564120 | − | 0.392354i | ||||
\(709\) | −5.28503 | − | 10.2515i | −0.198483 | − | 0.385004i | 0.768498 | − | 0.639853i | \(-0.221005\pi\) |
−0.966981 | + | 0.254849i | \(0.917974\pi\) | |||||||
\(710\) | −15.3127 | − | 2.95128i | −0.574676 | − | 0.110760i | ||||
\(711\) | 1.33079 | − | 0.322847i | 0.0499086 | − | 0.0121077i | ||||
\(712\) | 3.41725 | − | 5.91884i | 0.128067 | − | 0.221818i | ||||
\(713\) | 21.9026 | − | 1.72668i | 0.820260 | − | 0.0646648i | ||||
\(714\) | −22.9553 | + | 10.9981i | −0.859079 | + | 0.411593i | ||||
\(715\) | −3.84593 | − | 1.12927i | −0.143830 | − | 0.0422322i | ||||
\(716\) | −3.01504 | − | 8.71138i | −0.112677 | − | 0.325560i | ||||
\(717\) | 11.1147 | + | 0.529460i | 0.415087 | + | 0.0197731i | ||||
\(718\) | 5.59149 | + | 13.9669i | 0.208673 | + | 0.521239i | ||||
\(719\) | 16.4847 | − | 0.785265i | 0.614777 | − | 0.0292854i | 0.262116 | − | 0.965036i | \(-0.415580\pi\) |
0.352661 | + | 0.935751i | \(0.385277\pi\) | |||||||
\(720\) | −0.100279 | − | 0.219581i | −0.00373719 | − | 0.00818331i | ||||
\(721\) | −15.8780 | + | 1.81149i | −0.591328 | + | 0.0674633i | ||||
\(722\) | −4.06770 | − | 28.2915i | −0.151384 | − | 1.05290i | ||||
\(723\) | −8.97776 | + | 6.39303i | −0.333886 | + | 0.237759i | ||||
\(724\) | −7.04984 | − | 6.72201i | −0.262005 | − | 0.249822i | ||||
\(725\) | −24.5299 | − | 23.3892i | −0.911017 | − | 0.868653i | ||||
\(726\) | −6.84201 | + | 4.87217i | −0.253931 | + | 0.180823i | ||||
\(727\) | −3.55611 | − | 24.7333i | −0.131889 | − | 0.917308i | −0.943089 | − | 0.332539i | \(-0.892095\pi\) |
0.811200 | − | 0.584768i | \(-0.198815\pi\) | |||||||
\(728\) | 2.13296 | − | 1.57880i | 0.0790526 | − | 0.0585142i | ||||
\(729\) | −10.1855 | − | 22.3031i | −0.377241 | − | 0.826042i | ||||
\(730\) | 5.76948 | − | 0.274834i | 0.213538 | − | 0.0101721i | ||||
\(731\) | 1.96777 | + | 4.91525i | 0.0727805 | + | 0.181797i | ||||
\(732\) | −23.9002 | − | 1.13851i | −0.883378 | − | 0.0420805i | ||||
\(733\) | 9.63166 | + | 27.8289i | 0.355754 | + | 1.02788i | 0.970903 | + | 0.239472i | \(0.0769744\pi\) |
−0.615150 | + | 0.788410i | \(0.710904\pi\) | |||||||
\(734\) | −19.8526 | − | 5.82925i | −0.732772 | − | 0.215161i | ||||
\(735\) | 1.94613 | − | 12.5698i | 0.0717842 | − | 0.463646i | ||||
\(736\) | 2.26773 | − | 4.22580i | 0.0835896 | − | 0.155765i | ||||
\(737\) | 1.06631 | − | 1.84690i | 0.0392780 | − | 0.0680314i | ||||
\(738\) | −2.49795 | + | 0.605996i | −0.0919507 | + | 0.0223070i | ||||
\(739\) | −6.89879 | − | 1.32963i | −0.253776 | − | 0.0489114i | 0.0607763 | − | 0.998151i | \(-0.480642\pi\) |
−0.314553 | + | 0.949240i | \(0.601854\pi\) | |||||||
\(740\) | −3.92078 | − | 7.60526i | −0.144131 | − | 0.279575i | ||||
\(741\) | −1.77210 | + | 12.3252i | −0.0650996 | + | 0.452778i | ||||
\(742\) | 1.89183 | + | 3.50958i | 0.0694513 | + | 0.128841i | ||||
\(743\) | 5.41063 | − | 2.47095i | 0.198497 | − | 0.0906504i | −0.313687 | − | 0.949527i | \(-0.601564\pi\) |
0.512183 | + | 0.858876i | \(0.328837\pi\) | |||||||
\(744\) | 8.09598 | − | 1.56037i | 0.296813 | − | 0.0572060i | ||||
\(745\) | −6.59480 | − | 8.38597i | −0.241615 | − | 0.307238i | ||||
\(746\) | −3.48302 | − | 36.4758i | −0.127522 | − | 1.33548i | ||||
\(747\) | −0.195750 | + | 0.806891i | −0.00716210 | + | 0.0295226i | ||||
\(748\) | 5.96107 | + | 20.3015i | 0.217958 | + | 0.742298i | ||||
\(749\) | 4.84831 | − | 2.91939i | 0.177153 | − | 0.106672i | ||||
\(750\) | 16.1525 | − | 2.32238i | 0.589806 | − | 0.0848013i | ||||
\(751\) | −8.42790 | − | 43.7281i | −0.307539 | − | 1.59566i | −0.726176 | − | 0.687509i | \(-0.758704\pi\) |
0.418638 | − | 0.908153i | \(-0.362508\pi\) | |||||||
\(752\) | 3.63594 | + | 2.58914i | 0.132589 | + | 0.0944162i | ||||
\(753\) | −0.963286 | + | 1.86851i | −0.0351041 | + | 0.0680925i | ||||
\(754\) | −5.27918 | + | 6.71302i | −0.192256 | + | 0.244474i | ||||
\(755\) | 17.1934 | + | 11.0495i | 0.625732 | + | 0.402134i | ||||
\(756\) | −3.47115 | + | 12.6800i | −0.126244 | + | 0.461169i | ||||
\(757\) | −7.50983 | + | 25.5761i | −0.272949 | + | 0.929580i | 0.702928 | + | 0.711261i | \(0.251875\pi\) |
−0.975877 | + | 0.218319i | \(0.929943\pi\) | |||||||
\(758\) | 15.3848 | + | 8.88242i | 0.558801 | + | 0.322624i | ||||
\(759\) | −29.3005 | − | 17.5687i | −1.06354 | − | 0.637702i | ||||
\(760\) | 3.48223 | + | 6.03140i | 0.126314 | + | 0.218782i | ||||
\(761\) | −29.1111 | − | 30.5308i | −1.05528 | − | 1.10674i | −0.994084 | − | 0.108615i | \(-0.965358\pi\) |
−0.0611914 | − | 0.998126i | \(-0.519490\pi\) | |||||||
\(762\) | 16.3630 | + | 14.1787i | 0.592770 | + | 0.513638i | ||||
\(763\) | 33.2526 | + | 4.15819i | 1.20382 | + | 0.150537i | ||||
\(764\) | −8.00566 | − | 1.15104i | −0.289634 | − | 0.0416431i | ||||
\(765\) | 0.0613996 | + | 1.28894i | 0.00221991 | + | 0.0466016i | ||||
\(766\) | −22.0432 | + | 30.9554i | −0.796454 | + | 1.11846i | ||||
\(767\) | 1.92250 | − | 5.55470i | 0.0694175 | − | 0.200569i | ||||
\(768\) | 0.668899 | − | 1.67083i | 0.0241368 | − | 0.0602908i | ||||
\(769\) | 0.360569 | − | 0.789537i | 0.0130025 | − | 0.0284714i | −0.903019 | − | 0.429600i | \(-0.858655\pi\) |
0.916022 | + | 0.401128i | \(0.131382\pi\) | |||||||
\(770\) | −10.0536 | − | 3.27376i | −0.362307 | − | 0.117978i | ||||
\(771\) | 21.6596 | − | 6.35984i | 0.780053 | − | 0.229044i | ||||
\(772\) | −5.76221 | − | 8.09189i | −0.207386 | − | 0.291233i | ||||
\(773\) | 21.1313 | − | 16.6178i | 0.760041 | − | 0.597702i | −0.161098 | − | 0.986938i | \(-0.551503\pi\) |
0.921138 | + | 0.389236i | \(0.127261\pi\) | |||||||
\(774\) | −0.223784 | − | 0.0774524i | −0.00804375 | − | 0.00278397i | ||||
\(775\) | −1.73345 | + | 18.1535i | −0.0622672 | + | 0.652092i | ||||
\(776\) | 13.5950 | − | 8.73697i | 0.488031 | − | 0.313639i | ||||
\(777\) | 8.79084 | − | 39.3851i | 0.315370 | − | 1.41293i | ||||
\(778\) | 16.3826 | − | 25.4919i | 0.587346 | − | 0.913928i | ||||
\(779\) | 70.0796 | − | 24.2548i | 2.51086 | − | 0.869017i | ||||
\(780\) | −0.429681 | − | 1.77117i | −0.0153851 | − | 0.0634181i | ||||
\(781\) | −52.9458 | + | 30.5683i | −1.89455 | + | 1.09382i | ||||
\(782\) | −19.6495 | + | 16.4658i | −0.702666 | + | 0.588816i | ||||
\(783\) | − | 42.3085i | − | 1.51198i | ||||||
\(784\) | 5.74558 | − | 3.99854i | 0.205199 | − | 0.142805i | ||||
\(785\) | −4.39968 | + | 5.07750i | −0.157031 | + | 0.181224i | ||||
\(786\) | −3.29534 | + | 1.69887i | −0.117541 | + | 0.0605966i | ||||
\(787\) | 42.1625 | − | 16.8793i | 1.50293 | − | 0.601682i | 0.533227 | − | 0.845972i | \(-0.320979\pi\) |
0.969702 | + | 0.244290i | \(0.0785548\pi\) | |||||||
\(788\) | 9.02701 | + | 4.65375i | 0.321574 | + | 0.165783i | ||||
\(789\) | 13.9983 | + | 1.33668i | 0.498354 | + | 0.0475870i | ||||
\(790\) | 4.37024 | − | 3.78683i | 0.155486 | − | 0.134729i | ||||
\(791\) | 24.3286 | − | 1.60794i | 0.865025 | − | 0.0571718i | ||||
\(792\) | −0.860844 | − | 0.393134i | −0.0305888 | − | 0.0139694i | ||||
\(793\) | −12.9589 | − | 3.14379i | −0.460183 | − | 0.111639i | ||||
\(794\) | 13.3298 | − | 13.9799i | 0.473058 | − | 0.496129i | ||||
\(795\) | 2.72585 | − | 0.260287i | 0.0966760 | − | 0.00923144i | ||||
\(796\) | 14.3004 | + | 5.72502i | 0.506865 | + | 0.202918i | ||||
\(797\) | −16.3816 | − | 18.9053i | −0.580265 | − | 0.669661i | 0.387397 | − | 0.921913i | \(-0.373374\pi\) |
−0.967662 | + | 0.252252i | \(0.918829\pi\) | |||||||
\(798\) | −5.62181 | + | 32.3614i | −0.199010 | + | 1.14558i | ||||
\(799\) | −12.8999 | − | 20.0727i | −0.456367 | − | 0.710121i | ||||
\(800\) | 3.12899 | + | 2.46067i | 0.110627 | + | 0.0869977i | ||||
\(801\) | 0.0777523 | − | 1.63222i | 0.00274724 | − | 0.0576718i | ||||
\(802\) | −2.93628 | + | 15.2349i | −0.103684 | + | 0.537962i | ||||
\(803\) | 16.3884 | − | 15.6263i | 0.578335 | − | 0.551441i | ||||
\(804\) | 0.969686 | 0.0341982 | ||||||||
\(805\) | −1.24158 | − | 12.7505i | −0.0437598 | − | 0.449397i | ||||
\(806\) | 4.59494 | 0.161850 | ||||||||
\(807\) | −21.6770 | + | 20.6690i | −0.763067 | + | 0.727583i | ||||
\(808\) | −0.548187 | + | 2.84426i | −0.0192851 | + | 0.100061i | ||||
\(809\) | 0.925300 | − | 19.4244i | 0.0325318 | − | 0.682927i | −0.922424 | − | 0.386179i | \(-0.873795\pi\) |
0.954956 | − | 0.296748i | \(-0.0959022\pi\) | |||||||
\(810\) | 7.66652 | + | 6.02902i | 0.269374 | + | 0.211838i | ||||
\(811\) | −10.6274 | − | 16.5366i | −0.373179 | − | 0.580678i | 0.602974 | − | 0.797761i | \(-0.293982\pi\) |
−0.976153 | + | 0.217083i | \(0.930346\pi\) | |||||||
\(812\) | −14.4367 | + | 17.2936i | −0.506628 | + | 0.606888i | ||||
\(813\) | 6.56886 | + | 7.58087i | 0.230380 | + | 0.265873i | ||||
\(814\) | −31.1417 | − | 12.4672i | −1.09151 | − | 0.436977i | ||||
\(815\) | −16.4610 | + | 1.57183i | −0.576602 | + | 0.0550588i | ||||
\(816\) | −6.63903 | + | 6.96281i | −0.232412 | + | 0.243747i | ||||
\(817\) | 6.63952 | + | 1.61073i | 0.232287 | + | 0.0563523i | ||||
\(818\) | −0.407623 | − | 0.186155i | −0.0142522 | − | 0.00650877i | ||||
\(819\) | 0.280311 | − | 0.569200i | 0.00979487 | − | 0.0198894i | ||||
\(820\) | −8.20310 | + | 7.10802i | −0.286465 | + | 0.248223i | ||||
\(821\) | −12.7765 | − | 1.22001i | −0.445903 | − | 0.0425786i | −0.130310 | − | 0.991473i | \(-0.541597\pi\) |
−0.315593 | + | 0.948895i | \(0.602203\pi\) | |||||||
\(822\) | 30.6421 | + | 15.7971i | 1.06876 | + | 0.550986i | ||||
\(823\) | −0.107222 | + | 0.0429253i | −0.00373753 | + | 0.00149628i | −0.373530 | − | 0.927618i | \(-0.621853\pi\) |
0.369793 | + | 0.929114i | \(0.379429\pi\) | |||||||
\(824\) | −5.36879 | + | 2.76780i | −0.187031 | + | 0.0964210i | ||||
\(825\) | 18.5698 | − | 21.4307i | 0.646517 | − | 0.746120i | ||||
\(826\) | 5.49690 | − | 14.4980i | 0.191262 | − | 0.504451i | ||||
\(827\) | 29.5819i | 1.02866i | 0.857591 | + | 0.514332i | \(0.171960\pi\) | ||||
−0.857591 | + | 0.514332i | \(0.828040\pi\) | |||||||
\(828\) | 0.0189509 | − | 1.14649i | 0.000658589 | − | 0.0398433i | ||||
\(829\) | 3.00027 | − | 1.73221i | 0.104204 | − | 0.0601621i | −0.446992 | − | 0.894538i | \(-0.647505\pi\) |
0.551196 | + | 0.834376i | \(0.314172\pi\) | |||||||
\(830\) | 0.826608 | + | 3.40733i | 0.0286920 | + | 0.118270i | ||||
\(831\) | 12.9129 | − | 4.46920i | 0.447944 | − | 0.155035i | ||||
\(832\) | 0.542265 | − | 0.843780i | 0.0187996 | − | 0.0292528i | ||||
\(833\) | −36.4574 | + | 8.42839i | −1.26317 | + | 0.292026i | ||||
\(834\) | −16.5859 | + | 10.6591i | −0.574322 | + | 0.369094i | ||||
\(835\) | 0.0297901 | − | 0.311977i | 0.00103093 | − | 0.0107964i | ||||
\(836\) | 25.8017 | + | 8.93006i | 0.892371 | + | 0.308853i | ||||
\(837\) | −17.8934 | + | 14.0715i | −0.618487 | + | 0.486383i | ||||
\(838\) | −3.08364 | − | 4.33036i | −0.106522 | − | 0.149590i | ||||
\(839\) | −17.0459 | + | 5.00511i | −0.588488 | + | 0.172796i | −0.562402 | − | 0.826864i | \(-0.690123\pi\) |
−0.0260863 | + | 0.999660i | \(0.508304\pi\) | |||||||
\(840\) | −0.996523 | − | 4.70315i | −0.0343833 | − | 0.162274i | ||||
\(841\) | 18.0698 | − | 39.5674i | 0.623097 | − | 1.36439i | ||||
\(842\) | 4.53780 | − | 11.3349i | 0.156383 | − | 0.390626i | ||||
\(843\) | 15.9058 | − | 45.9567i | 0.547824 | − | 1.58283i | ||||
\(844\) | −1.72396 | + | 2.42096i | −0.0593411 | + | 0.0833329i | ||||
\(845\) | 0.576195 | + | 12.0958i | 0.0198217 | + | 0.416109i | ||||
\(846\) | 1.05635 | + | 0.151880i | 0.0363180 | + | 0.00522174i | ||||
\(847\) | −11.3769 | + | 4.79931i | −0.390916 | + | 0.164906i | ||||
\(848\) | 1.13887 | + | 0.986839i | 0.0391091 | + | 0.0338882i | ||||
\(849\) | 11.9042 | + | 12.4847i | 0.408550 | + | 0.428474i | ||||
\(850\) | −10.6394 | − | 18.4280i | −0.364928 | − | 0.632074i | ||||
\(851\) | −1.26267 | − | 40.6240i | −0.0432838 | − | 1.39257i | ||||
\(852\) | −24.0741 | − | 13.8992i | −0.824765 | − | 0.476178i | ||||
\(853\) | −0.165734 | + | 0.564438i | −0.00567462 | + | 0.0193260i | −0.962282 | − | 0.272055i | \(-0.912297\pi\) |
0.956607 | + | 0.291381i | \(0.0941148\pi\) | |||||||
\(854\) | −33.9266 | − | 9.28735i | −1.16094 | − | 0.317807i | ||||
\(855\) | 1.40081 | + | 0.900247i | 0.0479068 | + | 0.0307878i | ||||
\(856\) | 1.32228 | − | 1.68141i | 0.0451945 | − | 0.0574695i | ||||
\(857\) | 16.0011 | − | 31.0377i | 0.546586 | − | 1.06023i | −0.440155 | − | 0.897922i | \(-0.645076\pi\) |
0.986740 | − | 0.162306i | \(-0.0518933\pi\) | |||||||
\(858\) | −5.82021 | − | 4.14456i | −0.198699 | − | 0.141493i | ||||
\(859\) | 1.05253 | + | 5.46105i | 0.0359119 | + | 0.186329i | 0.995455 | − | 0.0952332i | \(-0.0303597\pi\) |
−0.959543 | + | 0.281562i | \(0.909148\pi\) | |||||||
\(860\) | −0.989811 | + | 0.142313i | −0.0337523 | + | 0.00485284i | ||||
\(861\) | −51.1827 | + | 0.941704i | −1.74430 | + | 0.0320932i | ||||
\(862\) | −4.95803 | − | 16.8855i | −0.168871 | − | 0.575122i | ||||
\(863\) | −0.423779 | + | 1.74684i | −0.0144256 | + | 0.0594632i | −0.978569 | − | 0.205917i | \(-0.933982\pi\) |
0.964144 | + | 0.265380i | \(0.0854975\pi\) | |||||||
\(864\) | 0.472328 | + | 4.94644i | 0.0160689 | + | 0.168281i | ||||
\(865\) | 11.9488 | + | 15.1941i | 0.406270 | + | 0.516614i | ||||
\(866\) | −24.7362 | + | 4.76752i | −0.840571 | + | 0.162007i | ||||
\(867\) | 18.9497 | − | 8.65403i | 0.643565 | − | 0.293906i | ||||
\(868\) | 12.1155 | + | 0.353911i | 0.411227 | + | 0.0120125i | ||||
\(869\) | 3.22631 | − | 22.4395i | 0.109445 | − | 0.761208i | ||||
\(870\) | 7.08957 | + | 13.7518i | 0.240359 | + | 0.466231i | ||||
\(871\) | 0.530642 | + | 0.102273i | 0.0179801 | + | 0.00346538i | ||||
\(872\) | 12.3091 | − | 2.98616i | 0.416840 | − | 0.101124i | ||||
\(873\) | 1.93191 | − | 3.34617i | 0.0653853 | − | 0.113251i | ||||
\(874\) | 2.59991 | + | 32.9793i | 0.0879432 | + | 1.11554i | ||||
\(875\) | 23.9187 | + | 1.84065i | 0.808601 | + | 0.0622253i | ||||
\(876\) | 9.87912 | + | 2.90077i | 0.333785 | + | 0.0980080i | ||||
\(877\) | −6.55074 | − | 18.9271i | −0.221203 | − | 0.639123i | −0.999931 | − | 0.0117616i | \(-0.996256\pi\) |
0.778728 | − | 0.627361i | \(-0.215865\pi\) | |||||||
\(878\) | −18.9239 | − | 0.901455i | −0.638650 | − | 0.0304226i | ||||
\(879\) | 3.72541 | + | 9.30563i | 0.125655 | + | 0.313871i | ||||
\(880\) | −3.99177 | + | 0.190151i | −0.134562 | + | 0.00641000i | ||||
\(881\) | 15.4711 | + | 33.8771i | 0.521236 | + | 1.14135i | 0.968969 | + | 0.247181i | \(0.0795042\pi\) |
−0.447733 | + | 0.894167i | \(0.647769\pi\) | |||||||
\(882\) | 0.782939 | − | 1.47922i | 0.0263629 | − | 0.0498080i | ||||
\(883\) | −1.01099 | − | 7.03161i | −0.0340226 | − | 0.236633i | 0.965713 | − | 0.259611i | \(-0.0835943\pi\) |
−0.999736 | + | 0.0229782i | \(0.992685\pi\) | |||||||
\(884\) | −4.36745 | + | 3.11005i | −0.146893 | + | 0.104602i | ||||
\(885\) | −7.70693 | − | 7.34854i | −0.259065 | − | 0.247018i | ||||
\(886\) | −14.2608 | − | 13.5976i | −0.479100 | − | 0.456821i | ||||
\(887\) | 33.1635 | − | 23.6156i | 1.11352 | − | 0.792935i | 0.133347 | − | 0.991069i | \(-0.457428\pi\) |
0.980175 | + | 0.198134i | \(0.0634882\pi\) | |||||||
\(888\) | −2.17065 | − | 15.0972i | −0.0728423 | − | 0.506630i | ||||
\(889\) | 18.9365 | + | 25.5831i | 0.635109 | + | 0.858031i | ||||
\(890\) | −2.86650 | − | 6.27677i | −0.0960854 | − | 0.210398i | ||||
\(891\) | 38.1930 | − | 1.81935i | 1.27951 | − | 0.0609507i | ||||
\(892\) | −4.07748 | − | 10.1850i | −0.136524 | − | 0.341020i | ||||
\(893\) | −30.7550 | − | 1.46504i | −1.02918 | − | 0.0490258i | ||||
\(894\) | −6.21995 | − | 17.9714i | −0.208026 | − | 0.601052i | ||||
\(895\) | −8.93019 | − | 2.62214i | −0.298503 | − | 0.0876485i | ||||
\(896\) | 1.49478 | − | 2.18303i | 0.0499371 | − | 0.0729300i | ||||
\(897\) | 1.77866 | − | 8.47252i | 0.0593877 | − | 0.282889i | ||||
\(898\) | −7.68323 | + | 13.3078i | −0.256393 | + | 0.444085i | ||||
\(899\) | −37.9074 | + | 9.19623i | −1.26428 | + | 0.306711i | ||||
\(900\) | 0.934540 | + | 0.180118i | 0.0311513 | + | 0.00600393i | ||||
\(901\) | −3.69123 | − | 7.16000i | −0.122973 | − | 0.238534i | ||||
\(902\) | −6.05591 | + | 42.1198i | −0.201640 | + | 1.40243i | ||||
\(903\) | −4.01375 | − | 2.47635i | −0.133569 | − | 0.0824078i | ||||
\(904\) | 8.38263 | − | 3.82822i | 0.278802 | − | 0.127325i | ||||
\(905\) | −9.65705 | + | 1.86124i | −0.321011 | + | 0.0618698i | ||||
\(906\) | 22.5208 | + | 28.6375i | 0.748202 | + | 0.951416i | ||||
\(907\) | −2.62221 | − | 27.4611i | −0.0870692 | − | 0.911830i | −0.928467 | − | 0.371414i | \(-0.878873\pi\) |
0.841398 | − | 0.540416i | \(-0.181733\pi\) | |||||||
\(908\) | 0.550763 | − | 2.27027i | 0.0182777 | − | 0.0753417i | ||||
\(909\) | 0.195116 | + | 0.664503i | 0.00647158 | + | 0.0220402i | ||||
\(910\) | −0.0492871 | − | 2.67881i | −0.00163385 | − | 0.0888017i | ||||
\(911\) | −24.1837 | + | 3.47709i | −0.801242 | + | 0.115201i | −0.530758 | − | 0.847523i | \(-0.678093\pi\) |
−0.270484 | + | 0.962724i | \(0.587184\pi\) | |||||||
\(912\) | 2.34949 | + | 12.1903i | 0.0777994 | + | 0.403662i | ||||
\(913\) | 11.1968 | + | 7.97317i | 0.370559 | + | 0.263874i | ||||
\(914\) | −5.14153 | + | 9.97317i | −0.170067 | + | 0.329883i | ||||
\(915\) | −14.9334 | + | 18.9894i | −0.493683 | + | 0.627769i | ||||
\(916\) | −10.3746 | − | 6.66735i | −0.342786 | − | 0.220295i | ||||
\(917\) | −5.27208 | + | 1.38216i | −0.174099 | + | 0.0456430i | ||||
\(918\) | 7.48332 | − | 25.4859i | 0.246986 | − | 0.841159i | ||||
\(919\) | 32.2868 | + | 18.6408i | 1.06504 | + | 0.614903i | 0.926823 | − | 0.375498i | \(-0.122528\pi\) |
0.138221 | + | 0.990401i | \(0.455862\pi\) | |||||||
\(920\) | −2.14732 | − | 4.33986i | −0.0707949 | − | 0.143081i | ||||
\(921\) | −20.6935 | − | 35.8423i | −0.681875 | − | 1.18104i | ||||
\(922\) | −14.6629 | − | 15.3781i | −0.482898 | − | 0.506449i | ||||
\(923\) | −11.7081 | − | 10.1452i | −0.385378 | − | 0.333932i | ||||
\(924\) | −15.0270 | − | 11.3762i | −0.494351 | − | 0.374251i | ||||
\(925\) | 33.3917 | + | 4.80100i | 1.09791 | + | 0.157856i | ||||
\(926\) | −1.58189 | − | 33.2079i | −0.0519840 | − | 1.09128i | ||||
\(927\) | −0.837705 | + | 1.17639i | −0.0275138 | + | 0.0386378i | ||||
\(928\) | −2.78485 | + | 8.04629i | −0.0914172 | + | 0.264133i | ||||
\(929\) | −20.4083 | + | 50.9775i | −0.669575 | + | 1.67252i | 0.0683735 | + | 0.997660i | \(0.478219\pi\) |
−0.737948 | + | 0.674857i | \(0.764205\pi\) | |||||||
\(930\) | 3.45809 | − | 7.57215i | 0.113395 | − | 0.248301i | ||||
\(931\) | −18.4295 | + | 44.6306i | −0.604001 | + | 1.46271i | ||||
\(932\) | 14.8870 | − | 4.37123i | 0.487641 | − | 0.143184i | ||||
\(933\) | 10.7564 | + | 15.1053i | 0.352150 | + | 0.494525i | ||||
\(934\) | −19.0046 | + | 14.9453i | −0.621848 | + | 0.489027i | ||||
\(935\) | 20.1875 | + | 6.98698i | 0.660203 | + | 0.228499i | ||||
\(936\) | 0.0227954 | − | 0.238724i | 0.000745092 | − | 0.00780295i | ||||
\(937\) | −5.55734 | + | 3.57149i | −0.181550 | + | 0.116675i | −0.628259 | − | 0.778004i | \(-0.716232\pi\) |
0.446709 | + | 0.894679i | \(0.352596\pi\) | |||||||
\(938\) | 1.39127 | + | 0.310534i | 0.0454265 | + | 0.0101393i | ||||
\(939\) | −22.7400 | + | 35.3842i | −0.742093 | + | 1.15472i | ||||
\(940\) | 4.25874 | − | 1.47396i | 0.138905 | − | 0.0480754i | ||||
\(941\) | 5.59893 | + | 23.0791i | 0.182520 | + | 0.752357i | 0.987311 | + | 0.158799i | \(0.0507621\pi\) |
−0.804791 | + | 0.593558i | \(0.797723\pi\) | |||||||
\(942\) | −10.3717 | + | 5.98811i | −0.337929 | + | 0.195103i | ||||
\(943\) | −49.7033 | + | 13.7061i | −1.61856 | + | 0.446332i | ||||
\(944\) | − | 5.86039i | − | 0.190739i | ||||||
\(945\) | 8.39551 | + | 10.2808i | 0.273106 | + | 0.334433i | ||||
\(946\) | −2.56728 | + | 2.96280i | −0.0834695 | + | 0.0963290i | ||||
\(947\) | −21.5466 | + | 11.1081i | −0.700171 | + | 0.360963i | −0.771272 | − | 0.636506i | \(-0.780379\pi\) |
0.0711007 | + | 0.997469i | \(0.477349\pi\) | |||||||
\(948\) | 9.56962 | − | 3.83110i | 0.310807 | − | 0.124428i | ||||
\(949\) | 5.10022 | + | 2.62934i | 0.165560 | + | 0.0853521i | ||||
\(950\) | −27.3341 | − | 2.61009i | −0.886836 | − | 0.0846826i | ||||
\(951\) | −2.97003 | + | 2.57355i | −0.0963100 | + | 0.0834531i | ||||
\(952\) | −11.7552 | + | 7.86388i | −0.380989 | + | 0.254870i | ||||
\(953\) | 8.94551 | + | 4.08528i | 0.289774 | + | 0.132335i | 0.554998 | − | 0.831851i | \(-0.312719\pi\) |
−0.265225 | + | 0.964187i | \(0.585446\pi\) | |||||||
\(954\) | 0.350143 | + | 0.0849437i | 0.0113363 | + | 0.00275015i | ||||
\(955\) | −5.63512 | + | 5.90994i | −0.182348 | + | 0.191241i | ||||
\(956\) | 6.15473 | − | 0.587705i | 0.199058 | − | 0.0190077i | ||||
\(957\) | 56.3104 | + | 22.5433i | 1.82026 | + | 0.728721i | ||||
\(958\) | 10.6099 | + | 12.2444i | 0.342789 | + | 0.395600i | ||||
\(959\) | 38.9052 | + | 32.4779i | 1.25631 | + | 1.04877i | ||||
\(960\) | −0.982392 | − | 1.52863i | −0.0317065 | − | 0.0493364i | ||||
\(961\) | −7.87055 | − | 6.18947i | −0.253889 | − | 0.199660i | ||||
\(962\) | 0.404457 | − | 8.49061i | 0.0130402 | − | 0.273748i | ||||
\(963\) | 0.0967891 | − | 0.502190i | 0.00311899 | − | 0.0161828i | ||||
\(964\) | −4.43204 | + | 4.22594i | −0.142746 | + | 0.136108i | ||||
\(965\) | −10.0296 | −0.322863 | ||||||||
\(966\) | 5.34236 | − | 22.2025i | 0.171888 | − | 0.714355i | ||||
\(967\) | −42.5817 | −1.36933 | −0.684667 | − | 0.728856i | \(-0.740052\pi\) | ||||
−0.684667 | + | 0.728856i | \(0.740052\pi\) | |||||||
\(968\) | −3.37769 | + | 3.22062i | −0.108563 | + | 0.103515i | ||||
\(969\) | 12.5594 | − | 65.1642i | 0.403465 | − | 2.09337i | ||||
\(970\) | 0.776350 | − | 16.2976i | 0.0249271 | − | 0.523284i | ||||
\(971\) | 1.56556 | + | 1.23117i | 0.0502411 | + | 0.0395101i | 0.642964 | − | 0.765897i | \(-0.277705\pi\) |
−0.592723 | + | 0.805407i | \(0.701947\pi\) | |||||||
\(972\) | 1.34022 | + | 2.08543i | 0.0429877 | + | 0.0668901i | ||||
\(973\) | −27.2103 | + | 9.98177i | −0.872321 | + | 0.320001i | ||||
\(974\) | 20.8624 | + | 24.0765i | 0.668474 | + | 0.771460i | ||||
\(975\) | 6.67094 | + | 2.67064i | 0.213641 | + | 0.0855290i | ||||
\(976\) | −13.2346 | + | 1.26375i | −0.423630 | + | 0.0404518i | ||||
\(977\) | −13.3576 | + | 14.0091i | −0.427348 | + | 0.448190i | −0.901840 | − | 0.432070i | \(-0.857783\pi\) |
0.474492 | + | 0.880260i | \(0.342632\pi\) | |||||||
\(978\) | −28.6454 | − | 6.94931i | −0.915980 | − | 0.222214i | ||||
\(979\) | −24.6074 | − | 11.2378i | −0.786455 | − | 0.359162i | ||||
\(980\) | 0.0763712 | − | 7.06703i | 0.00243959 | − | 0.225748i | ||||
\(981\) | 2.28870 | − | 1.98317i | 0.0730726 | − | 0.0633177i | ||||
\(982\) | −16.3173 | − | 1.55811i | −0.520706 | − | 0.0497214i | ||||
\(983\) | −40.1758 | − | 20.7121i | −1.28141 | − | 0.660612i | −0.323105 | − | 0.946363i | \(-0.604727\pi\) |
−0.958304 | + | 0.285751i | \(0.907757\pi\) | |||||||
\(984\) | −17.9625 | + | 7.19111i | −0.572625 | + | 0.229244i | ||||
\(985\) | 9.11398 | − | 4.69858i | 0.290396 | − | 0.149709i | ||||
\(986\) | 29.8062 | − | 34.3982i | 0.949223 | − | 1.09546i | ||||
\(987\) | 19.8737 | + | 7.53509i | 0.632588 | + | 0.239844i | ||||
\(988\) | 6.91872i | 0.220114i | ||||||||
\(989\) | −4.53487 | − | 1.41338i | −0.144200 | − | 0.0449427i | ||||
\(990\) | −0.827472 | + | 0.477741i | −0.0262988 | + | 0.0151836i | ||||
\(991\) | 8.89707 | + | 36.6742i | 0.282625 | + | 1.16500i | 0.919203 | + | 0.393784i | \(0.128834\pi\) |
−0.636578 | + | 0.771212i | \(0.719651\pi\) | |||||||
\(992\) | 4.32922 | − | 1.49836i | 0.137453 | − | 0.0475729i | ||||
\(993\) | 1.66461 | − | 2.59018i | 0.0528247 | − | 0.0821969i | ||||
\(994\) | −30.0895 | − | 27.6516i | −0.954382 | − | 0.877055i | ||||
\(995\) | 13.0834 | − | 8.40817i | 0.414771 | − | 0.266557i | ||||
\(996\) | −0.594099 | + | 6.22169i | −0.0188247 | + | 0.197142i | ||||
\(997\) | −14.9173 | − | 5.16292i | −0.472435 | − | 0.163511i | 0.0804675 | − | 0.996757i | \(-0.474359\pi\) |
−0.552903 | + | 0.833246i | \(0.686480\pi\) | |||||||
\(998\) | −6.61263 | + | 5.20023i | −0.209319 | + | 0.164610i | ||||
\(999\) | 24.4266 | + | 34.3023i | 0.772823 | + | 1.08528i |
(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.o.b.5.6 | ✓ | 160 | |
7.3 | odd | 6 | inner | 322.2.o.b.143.6 | yes | 160 | |
23.14 | odd | 22 | inner | 322.2.o.b.313.6 | yes | 160 | |
161.129 | even | 66 | inner | 322.2.o.b.129.6 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.o.b.5.6 | ✓ | 160 | 1.1 | even | 1 | trivial | |
322.2.o.b.129.6 | yes | 160 | 161.129 | even | 66 | inner | |
322.2.o.b.143.6 | yes | 160 | 7.3 | odd | 6 | inner | |
322.2.o.b.313.6 | yes | 160 | 23.14 | odd | 22 | inner |