Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(17,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 0, 11, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bv (of order \(44\), 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: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(720\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 17.17 | ||
Character | \(\chi\) | \(=\) | 920.17 |
Dual form | 920.2.bv.a.433.17 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{22}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 | 0 | ||||||||
\(3\) | −0.0822135 | + | 0.0448920i | −0.0474660 | + | 0.0259184i | −0.502807 | − | 0.864399i | \(-0.667699\pi\) |
0.455341 | + | 0.890317i | \(0.349517\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.59045 | − | 1.57177i | −0.711271 | − | 0.702918i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.12275 | + | 4.17150i | 1.18029 | + | 1.57668i | 0.729381 | + | 0.684107i | \(0.239808\pi\) |
0.450906 | + | 0.892572i | \(0.351101\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.61718 | + | 2.51638i | −0.539060 | + | 0.838793i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.36211 | + | 1.53542i | −1.01371 | + | 0.462947i | −0.851805 | − | 0.523859i | \(-0.824492\pi\) |
−0.161908 | + | 0.986806i | \(0.551765\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.74996 | − | 1.31000i | −0.485351 | − | 0.363329i | 0.328404 | − | 0.944537i | \(-0.393489\pi\) |
−0.813755 | + | 0.581208i | \(0.802580\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.201316 | + | 0.0578226i | 0.0519797 | + | 0.0149297i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.442284 | − | 6.18393i | −0.107270 | − | 1.49982i | −0.711314 | − | 0.702874i | \(-0.751900\pi\) |
0.604045 | − | 0.796950i | \(-0.293555\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.05565 | − | 2.37235i | −0.471599 | − | 0.544254i | 0.469257 | − | 0.883062i | \(-0.344522\pi\) |
−0.940856 | + | 0.338808i | \(0.889976\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.443999 | − | 0.202768i | −0.0968885 | − | 0.0442475i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.77306 | + | 0.466813i | −0.995251 | + | 0.0973372i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.0590597 | + | 4.99965i | 0.0118119 | + | 0.999930i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.0400361 | − | 0.559777i | 0.00770494 | − | 0.107729i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.75914 | − | 1.52430i | −0.326664 | − | 0.283056i | 0.476053 | − | 0.879417i | \(-0.342067\pi\) |
−0.802716 | + | 0.596361i | \(0.796613\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.693792 | + | 0.203716i | −0.124609 | + | 0.0365884i | −0.343442 | − | 0.939174i | \(-0.611593\pi\) |
0.218834 | + | 0.975762i | \(0.429775\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.207482 | − | 0.277164i | 0.0361181 | − | 0.0482481i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.59008 | − | 11.5428i | 0.268773 | − | 1.95109i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.16416 | + | 1.77600i | −1.34218 | + | 0.291973i | −0.825595 | − | 0.564263i | \(-0.809160\pi\) |
−0.516584 | + | 0.856236i | \(0.672797\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.202679 | + | 0.0291408i | 0.0324546 | + | 0.00466626i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.34358 | + | 2.79145i | −0.678354 | + | 0.435951i | −0.833928 | − | 0.551873i | \(-0.813913\pi\) |
0.155575 | + | 0.987824i | \(0.450277\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.396781 | + | 0.726651i | 0.0605086 | + | 0.110813i | 0.906183 | − | 0.422886i | \(-0.138983\pi\) |
−0.845674 | + | 0.533700i | \(0.820801\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 6.52722 | − | 1.46034i | 0.973020 | − | 0.217694i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.39744 | + | 6.39744i | 0.933163 | + | 0.933163i | 0.997902 | − | 0.0647394i | \(-0.0206216\pi\) |
−0.0647394 | + | 0.997902i | \(0.520622\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.67774 | + | 19.3366i | −0.811106 | + | 2.76237i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.313971 | + | 0.488548i | 0.0439647 | + | 0.0684104i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.20433 | + | 6.14168i | −1.12695 | + | 0.843625i | −0.989161 | − | 0.146836i | \(-0.953091\pi\) |
−0.137790 | + | 0.990461i | \(0.544000\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.76059 | + | 2.84245i | 1.04644 | + | 0.383277i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.275502 | + | 0.102757i | 0.0364911 | + | 0.0136105i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.11563 | + | 0.160403i | −0.145242 | + | 0.0208827i | −0.214552 | − | 0.976712i | \(-0.568829\pi\) |
0.0693102 | + | 0.997595i | \(0.477920\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.41688 | + | 4.82546i | 0.181413 | + | 0.617837i | 0.999110 | + | 0.0421875i | \(0.0134327\pi\) |
−0.817696 | + | 0.575650i | \(0.804749\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −15.5471 | + | 1.11195i | −1.95875 | + | 0.140093i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.724194 | + | 4.83403i | 0.0898252 | + | 0.599587i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.29574 | + | 3.47401i | 0.158300 | + | 0.424418i | 0.991752 | − | 0.128174i | \(-0.0409115\pi\) |
−0.833452 | + | 0.552592i | \(0.813639\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.371454 | − | 0.252650i | 0.0447178 | − | 0.0304155i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.27911 | − | 11.5596i | 0.626515 | − | 1.37188i | −0.284169 | − | 0.958774i | \(-0.591718\pi\) |
0.910684 | − | 0.413103i | \(-0.135555\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.25599 | + | 0.0898299i | 0.147002 | + | 0.0105138i | 0.144646 | − | 0.989483i | \(-0.453796\pi\) |
0.00235582 | + | 0.999997i | \(0.499250\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.229300 | − | 0.408388i | −0.0264773 | − | 0.0471565i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −16.9040 | − | 9.23029i | −1.92639 | − | 1.05189i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.267327 | + | 1.85930i | 0.0300766 | + | 0.209187i | 0.999318 | − | 0.0369245i | \(-0.0117561\pi\) |
−0.969241 | + | 0.246112i | \(0.920847\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.70596 | − | 8.11493i | −0.411774 | − | 0.901658i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −3.06361 | − | 14.0832i | −0.336275 | − | 1.54583i | −0.765982 | − | 0.642862i | \(-0.777747\pi\) |
0.429708 | − | 0.902968i | \(-0.358617\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.01631 | + | 10.5304i | −0.977956 | + | 1.14218i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.213054 | + | 0.0463470i | 0.0228418 | + | 0.00496892i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 11.9814 | + | 3.51804i | 1.27002 | + | 0.372912i | 0.846215 | − | 0.532841i | \(-0.178876\pi\) |
0.423806 | + | 0.905753i | \(0.360694\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 11.3907i | − | 1.19407i | ||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.0478939 | − | 0.0478939i | 0.00496637 | − | 0.00496637i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.459383 | + | 7.00411i | −0.0471317 | + | 0.718607i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.27190 | + | 10.4438i | −0.230677 | + | 1.06040i | 0.705455 | + | 0.708754i | \(0.250743\pi\) |
−0.936132 | + | 0.351649i | \(0.885621\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.57342 | − | 10.9434i | 0.158135 | − | 1.09985i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.66564 | − | 1.07044i | −0.165738 | − | 0.106513i | 0.455142 | − | 0.890419i | \(-0.349588\pi\) |
−0.620880 | + | 0.783905i | \(0.713225\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.67522 | − | 7.17254i | 0.263597 | − | 0.706731i | −0.735962 | − | 0.677023i | \(-0.763270\pi\) |
0.999559 | − | 0.0297077i | \(-0.00945764\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.387453 | + | 1.02036i | 0.0378116 | + | 0.0995766i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.22621 | + | 15.0652i | −0.795258 | + | 1.45641i | 0.0923106 | + | 0.995730i | \(0.470575\pi\) |
−0.887568 | + | 0.460676i | \(0.847607\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.7923 | − | 12.4550i | 1.03372 | − | 1.19297i | 0.0527863 | − | 0.998606i | \(-0.483190\pi\) |
0.980929 | − | 0.194365i | \(-0.0622648\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.591476 | − | 0.512517i | 0.0561404 | − | 0.0486459i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.33266 | − | 1.24302i | 0.313510 | − | 0.116933i | −0.187784 | − | 0.982210i | \(-0.560130\pi\) |
0.501294 | + | 0.865277i | \(0.332858\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.32503 | + | 6.75972i | 0.776313 | + | 0.630347i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 6.12645 | − | 2.28505i | 0.566391 | − | 0.211253i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 24.4151 | − | 21.1558i | 2.23813 | − | 1.93935i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.74276 | − | 2.01126i | 0.158433 | − | 0.182841i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.231788 | − | 0.424487i | 0.0208996 | − | 0.0382747i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 7.76438 | − | 8.04452i | 0.694468 | − | 0.719524i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.08271 | − | 2.90286i | 0.0960751 | − | 0.257587i | −0.880018 | − | 0.474940i | \(-0.842470\pi\) |
0.976093 | + | 0.217353i | \(0.0697423\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.0652416 | − | 0.0419282i | −0.00574420 | − | 0.00369157i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.187109 | − | 1.30137i | 0.0163478 | − | 0.113701i | −0.980014 | − | 0.198931i | \(-0.936253\pi\) |
0.996361 | + | 0.0852292i | \(0.0271623\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.47697 | − | 15.9834i | 0.301492 | − | 1.38594i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.943518 | + | 0.827370i | −0.0812051 | + | 0.0712087i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −13.6508 | + | 13.6508i | −1.16627 | + | 1.16627i | −0.183188 | + | 0.983078i | \(0.558642\pi\) |
−0.983078 | + | 0.183188i | \(0.941358\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.1071i | 1.19655i | 0.801291 | + | 0.598275i | \(0.204147\pi\) | ||||
−0.801291 | + | 0.598275i | \(0.795853\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.813150 | − | 0.238762i | −0.0684796 | − | 0.0201074i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.89495 | + | 1.71744i | 0.660208 | + | 0.143620i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.401964 | + | 5.18929i | 0.0333813 | + | 0.430947i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.401272 | − | 1.84462i | −0.0330963 | − | 0.152141i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.09582 | − | 8.96860i | −0.335543 | − | 0.734736i | 0.664377 | − | 0.747398i | \(-0.268697\pi\) |
−0.999920 | + | 0.0126614i | \(0.995970\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.807321 | − | 5.61504i | −0.0656989 | − | 0.456946i | −0.995942 | − | 0.0900011i | \(-0.971313\pi\) |
0.930243 | − | 0.366945i | \(-0.119596\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 16.2764 | + | 8.88757i | 1.31587 | + | 0.718518i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.42364 | + | 0.766484i | 0.114349 | + | 0.0615655i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 13.9863 | + | 1.00032i | 1.11623 | + | 0.0798340i | 0.617239 | − | 0.786776i | \(-0.288251\pi\) |
0.498987 | + | 0.866610i | \(0.333706\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.398795 | − | 0.873238i | 0.0316265 | − | 0.0692523i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −16.8524 | − | 18.4531i | −1.32815 | − | 1.45431i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.18895 | + | 19.2743i | 0.563082 | + | 1.50968i | 0.836600 | + | 0.547815i | \(0.184540\pi\) |
−0.273518 | + | 0.961867i | \(0.588187\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.765629 | + | 0.114700i | −0.0596042 | + | 0.00892940i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −20.3718 | + | 1.45702i | −1.57642 | + | 0.112748i | −0.831927 | − | 0.554886i | \(-0.812762\pi\) |
−0.744490 | + | 0.667633i | \(0.767307\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.31628 | − | 7.88852i | −0.178175 | − | 0.606809i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 9.29408 | − | 1.33629i | 0.710736 | − | 0.102188i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.03657 | + | 1.50556i | 0.306895 | + | 0.114466i | 0.498193 | − | 0.867066i | \(-0.333997\pi\) |
−0.191298 | + | 0.981532i | \(0.561270\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −20.6716 | + | 15.8590i | −1.56263 | + | 1.19883i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.0845188 | − | 0.0632700i | 0.00635282 | − | 0.00475566i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 8.73930 | + | 13.5986i | 0.653206 | + | 1.01641i | 0.997003 | + | 0.0773644i | \(0.0246505\pi\) |
−0.343797 | + | 0.939044i | \(0.611713\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.83153 | − | 9.64330i | 0.210466 | − | 0.716781i | −0.784814 | − | 0.619732i | \(-0.787241\pi\) |
0.995280 | − | 0.0970491i | \(-0.0309404\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.333112 | − | 0.333112i | −0.0246243 | − | 0.0246243i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 15.7762 | + | 10.0076i | 1.15989 | + | 0.735770i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 10.9820 | + | 20.1119i | 0.803080 | + | 1.47073i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.46013 | − | 1.58103i | 0.178948 | − | 0.115003i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 13.5513 | + | 1.94839i | 0.980541 | + | 0.140980i | 0.613901 | − | 0.789383i | \(-0.289599\pi\) |
0.366639 | + | 0.930363i | \(0.380508\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −23.9812 | + | 5.21680i | −1.72621 | + | 0.375513i | −0.962760 | − | 0.270358i | \(-0.912858\pi\) |
−0.763446 | + | 0.645871i | \(0.776494\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.276548 | − | 0.364912i | −0.0198040 | − | 0.0261319i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −6.33826 | + | 8.46693i | −0.451582 | + | 0.603243i | −0.967337 | − | 0.253493i | \(-0.918421\pi\) |
0.515755 | + | 0.856736i | \(0.327512\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.47558 | + | 1.31415i | −0.317265 | + | 0.0931575i | −0.436488 | − | 0.899710i | \(-0.643778\pi\) |
0.119223 | + | 0.992868i | \(0.461960\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.262483 | − | 0.227443i | −0.0185141 | − | 0.0160426i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.865284 | − | 12.0982i | 0.0607310 | − | 0.849130i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 11.2958 | + | 2.38746i | 0.788931 | + | 0.166748i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 6.54421 | − | 12.7657i | 0.454854 | − | 0.887281i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 10.5539 | + | 4.81979i | 0.730026 | + | 0.333392i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.725033 | + | 0.836732i | 0.0499133 | + | 0.0576030i | 0.780157 | − | 0.625584i | \(-0.215139\pi\) |
−0.730244 | + | 0.683187i | \(0.760594\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.0849209 | + | 1.18735i | 0.00581868 | + | 0.0813558i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.511069 | − | 1.77935i | 0.0348546 | − | 0.121351i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.01634 | − | 2.25800i | −0.204762 | − | 0.153283i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.107292 | + | 0.0489985i | −0.00725010 | + | 0.00331101i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.32699 | + | 11.4010i | −0.492866 | + | 0.766915i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.88894 | − | 2.52333i | −0.126493 | − | 0.168975i | 0.732824 | − | 0.680418i | \(-0.238202\pi\) |
−0.859317 | + | 0.511443i | \(0.829111\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −12.6765 | − | 7.93671i | −0.845102 | − | 0.529114i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.531065 | − | 0.289984i | 0.0352480 | − | 0.0192469i | −0.461528 | − | 0.887125i | \(-0.652699\pi\) |
0.496776 | + | 0.867879i | \(0.334517\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.05820 | −0.268174 | −0.134087 | − | 0.990970i | \(-0.542810\pi\) | ||||
−0.134087 | + | 0.990970i | \(0.542810\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.80410 | 0.118701 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 4.35266 | − | 2.37673i | 0.285152 | − | 0.155705i | −0.330307 | − | 0.943873i | \(-0.607152\pi\) |
0.615459 | + | 0.788169i | \(0.288971\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.119483 | − | 20.2301i | −0.00779419 | − | 1.31967i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.105445 | − | 0.140859i | −0.00684941 | − | 0.00914974i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 8.48775 | − | 13.2072i | 0.549027 | − | 0.854302i | −0.450228 | − | 0.892914i | \(-0.648657\pi\) |
0.999254 | + | 0.0386117i | \(0.0122935\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.35109 | + | 0.617023i | −0.0870315 | + | 0.0397460i | −0.458455 | − | 0.888718i | \(-0.651597\pi\) |
0.371424 | + | 0.928464i | \(0.378870\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 2.01678 | + | 1.50975i | 0.129377 | + | 0.0968502i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 39.4229 | − | 21.8298i | 2.51864 | − | 1.39465i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.489522 | + | 6.84441i | 0.0311475 | + | 0.435499i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.884092 | + | 1.02030i | 0.0560270 | + | 0.0646587i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 19.3359 | + | 8.83043i | 1.22047 | + | 0.557372i | 0.918302 | − | 0.395882i | \(-0.129561\pi\) |
0.302172 | + | 0.953253i | \(0.402288\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 15.3308 | − | 8.89813i | 0.963837 | − | 0.559421i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.268532 | − | 1.27050i | 0.0168161 | − | 0.0795619i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1.08572 | + | 15.1803i | −0.0677251 | + | 0.946921i | 0.844059 | + | 0.536251i | \(0.180160\pi\) |
−0.911784 | + | 0.410670i | \(0.865295\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −32.9032 | − | 28.5108i | −2.04450 | − | 1.77157i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.68056 | − | 1.96159i | 0.413516 | − | 0.121419i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 7.20082 | − | 9.61917i | 0.444022 | − | 0.593144i | −0.521569 | − | 0.853209i | \(-0.674653\pi\) |
0.965591 | + | 0.260065i | \(0.0837441\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 22.7019 | + | 3.12730i | 1.39457 | + | 0.192109i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.14296 | + | 0.248636i | −0.0699481 | + | 0.0152163i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 7.23305 | + | 1.03996i | 0.441007 | + | 0.0634073i | 0.359242 | − | 0.933244i | \(-0.383035\pi\) |
0.0817650 | + | 0.996652i | \(0.473944\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.54876 | + | 3.56597i | −0.337063 | + | 0.216617i | −0.698212 | − | 0.715891i | \(-0.746021\pi\) |
0.361149 | + | 0.932508i | \(0.382385\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.511353 | + | 0.936474i | 0.0309485 | + | 0.0566780i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −7.87514 | − | 16.7187i | −0.474889 | − | 1.00817i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.26408 | − | 9.26408i | −0.556625 | − | 0.556625i | 0.371720 | − | 0.928345i | \(-0.378768\pi\) |
−0.928345 | + | 0.371720i | \(0.878768\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.609360 | − | 2.07529i | 0.0364814 | − | 0.124244i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.20148 | + | 4.98161i | 0.190985 | + | 0.297178i | 0.923519 | − | 0.383552i | \(-0.125299\pi\) |
−0.732535 | + | 0.680730i | \(0.761663\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 20.5383 | − | 15.3748i | 1.22087 | − | 0.913934i | 0.222732 | − | 0.974880i | \(-0.428502\pi\) |
0.998141 | + | 0.0609454i | \(0.0194116\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.276661 | − | 0.596456i | −0.0163880 | − | 0.0353310i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −25.2084 | − | 9.40227i | −1.48801 | − | 0.554998i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −21.2185 | + | 3.05076i | −1.24815 | + | 0.179456i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.282060 | − | 0.960608i | −0.0165347 | − | 0.0563119i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −14.3219 | + | 1.02432i | −0.836696 | + | 0.0598417i | −0.483109 | − | 0.875560i | \(-0.660493\pi\) |
−0.353587 | + | 0.935402i | \(0.615038\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.02647 | + | 1.49840i | 0.117985 | + | 0.0872402i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.724889 | + | 1.94350i | 0.0420623 | + | 0.112773i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 8.96417 | + | 5.43581i | 0.518411 | + | 0.314361i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.79218 | + | 3.92432i | −0.103299 | + | 0.226194i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.184993 | + | 0.0132310i | 0.0106276 | + | 0.000760098i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.33105 | − | 9.90168i | 0.305255 | − | 0.566968i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.03920 | + | 4.93578i | 0.515895 | + | 0.281700i | 0.716031 | − | 0.698068i | \(-0.245957\pi\) |
−0.200137 | + | 0.979768i | \(0.564139\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.102050 | + | 0.709775i | 0.00580544 | + | 0.0403777i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.93295 | − | 6.42227i | −0.166313 | − | 0.364174i | 0.808065 | − | 0.589094i | \(-0.200515\pi\) |
−0.974377 | + | 0.224920i | \(0.927788\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.05696 | − | 27.8434i | −0.342360 | − | 1.57380i | −0.750492 | − | 0.660880i | \(-0.770183\pi\) |
0.408132 | − | 0.912923i | \(-0.366180\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 26.4746 | + | 22.6680i | 1.49168 | + | 1.27720i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 22.4721 | + | 4.88851i | 1.26216 | + | 0.274566i | 0.793368 | − | 0.608742i | \(-0.208326\pi\) |
0.468793 | + | 0.883308i | \(0.344689\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.25485 | + | 2.42384i | 0.462183 | + | 0.135709i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 1.60785i | − | 0.0897416i | ||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −13.7613 | + | 13.7613i | −0.765697 | + | 0.765697i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.44620 | − | 8.82654i | 0.357571 | − | 0.489609i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.328145 | + | 1.50846i | −0.0181464 | + | 0.0834178i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −6.70934 | + | 46.6645i | −0.369898 | + | 2.57270i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.4282 | + | 10.5577i | 0.902973 | + | 0.580306i | 0.907671 | − | 0.419683i | \(-0.137859\pi\) |
−0.00469731 | + | 0.999989i | \(0.501495\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.73380 | − | 23.4162i | 0.478609 | − | 1.28320i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.39955 | − | 7.56185i | 0.185737 | − | 0.413148i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.73706 | − | 17.8321i | 0.530412 | − | 0.971376i | −0.465840 | − | 0.884869i | \(-0.654248\pi\) |
0.996251 | − | 0.0865071i | \(-0.0275705\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.218188 | + | 0.251802i | −0.0118503 | + | 0.0136760i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.01981 | − | 1.75018i | 0.109379 | − | 0.0947775i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −64.2167 | + | 23.9516i | −3.46738 | + | 1.29327i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.987888 | − | 0.182013i | −0.0531861 | − | 0.00979927i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −16.7555 | + | 6.24949i | −0.899484 | + | 0.335490i | −0.756315 | − | 0.654208i | \(-0.773002\pi\) |
−0.143170 | + | 0.989698i | \(0.545729\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.02435 | + | 2.62061i | −0.161890 | + | 0.140278i | −0.732039 | − | 0.681263i | \(-0.761431\pi\) |
0.570149 | + | 0.821541i | \(0.306886\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.803371 | + | 0.927139i | −0.0428807 | + | 0.0494870i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −3.87521 | + | 7.09691i | −0.206257 | + | 0.377731i | −0.960246 | − | 0.279156i | \(-0.909945\pi\) |
0.753989 | + | 0.656887i | \(0.228127\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −26.5653 | + | 10.0875i | −1.40994 | + | 0.535387i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.05753 | + | 2.83534i | −0.0559703 | + | 0.150062i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 5.37915 | + | 3.45697i | 0.283901 | + | 0.182452i | 0.674839 | − | 0.737965i | \(-0.264213\pi\) |
−0.390938 | + | 0.920417i | \(0.627849\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.30165 | − | 9.05318i | 0.0685079 | − | 0.476483i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.0529894 | + | 0.243589i | −0.00278122 | + | 0.0127851i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.85639 | − | 2.11700i | −0.0971679 | − | 0.110809i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −9.22004 | + | 9.22004i | −0.481282 | + | 0.481282i | −0.905541 | − | 0.424259i | \(-0.860535\pi\) |
0.424259 | + | 0.905541i | \(0.360535\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 15.4444i | − | 0.804002i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −51.2401 | − | 15.0454i | −2.66025 | − | 0.781120i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −15.7177 | − | 3.41918i | −0.813832 | − | 0.177038i | −0.213659 | − | 0.976908i | \(-0.568538\pi\) |
−0.600173 | + | 0.799870i | \(0.704902\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.277203 | + | 1.00993i | −0.0143147 | + | 0.0521524i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.08158 | + | 4.97193i | 0.0557041 | + | 0.256068i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.89732 | + | 6.34424i | 0.148825 | + | 0.325882i | 0.969332 | − | 0.245755i | \(-0.0790359\pi\) |
−0.820507 | + | 0.571637i | \(0.806309\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.0413017 | + | 0.287260i | 0.00211595 | + | 0.0147168i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 6.49950 | + | 3.54900i | 0.332109 | + | 0.181345i | 0.636648 | − | 0.771155i | \(-0.280321\pi\) |
−0.304539 | + | 0.952500i | \(0.598502\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.3771 | + | 41.2496i | 0.630794 | + | 2.10227i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.47020 | − | 0.176672i | −0.125567 | − | 0.00898074i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 5.34994 | − | 11.7147i | 0.271253 | − | 0.593960i | −0.724160 | − | 0.689632i | \(-0.757773\pi\) |
0.995413 | + | 0.0956713i | \(0.0304998\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.99779 | + | 29.3098i | 0.252749 | + | 1.48226i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.0430383 | + | 0.115390i | 0.00217099 | + | 0.00582066i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 2.49722 | − | 3.37729i | 0.125649 | − | 0.169930i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −24.3832 | + | 1.74392i | −1.22376 | + | 0.0875249i | −0.668218 | − | 0.743965i | \(-0.732943\pi\) |
−0.555540 | + | 0.831490i | \(0.687488\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.431672 | + | 1.47014i | 0.0216106 | + | 0.0735990i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 11.6429 | − | 1.67400i | 0.581420 | − | 0.0835956i | 0.154672 | − | 0.987966i | \(-0.450568\pi\) |
0.426749 | + | 0.904370i | \(0.359659\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.48097 | + | 0.552375i | 0.0737726 | + | 0.0275158i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −6.86067 | + | 18.7313i | −0.340910 | + | 0.930766i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 24.7218 | − | 18.5065i | 1.22542 | − | 0.917335i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.2604 | + | 19.0776i | 0.606238 | + | 0.943325i | 0.999712 | + | 0.0239890i | \(0.00763665\pi\) |
−0.393474 | + | 0.919336i | \(0.628727\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.509469 | − | 1.73509i | 0.0251302 | − | 0.0855857i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −4.15294 | − | 4.15294i | −0.204353 | − | 0.204353i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −17.2630 | + | 27.2139i | −0.847410 | + | 1.33588i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.633296 | − | 1.15980i | −0.0310126 | − | 0.0567954i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.67893 | + | 4.29228i | −0.326287 | + | 0.209692i | −0.693520 | − | 0.720437i | \(-0.743941\pi\) |
0.367234 | + | 0.930129i | \(0.380305\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.5073 | − | 4.38629i | −1.48684 | − | 0.213775i | −0.649457 | − | 0.760398i | \(-0.725004\pi\) |
−0.837378 | + | 0.546624i | \(0.815913\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −26.4442 | + | 5.75258i | −1.28576 | + | 0.279700i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 30.8914 | − | 2.57649i | 1.49845 | − | 0.124978i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −15.7049 | + | 20.9792i | −0.760011 | + | 1.01526i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.726171 | + | 0.213223i | −0.0350598 | + | 0.0102945i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 19.7726 | + | 17.1330i | 0.952411 | + | 0.825269i | 0.984709 | − | 0.174209i | \(-0.0557369\pi\) |
−0.0322974 | + | 0.999478i | \(0.510282\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.531798 | − | 7.43551i | 0.0255566 | − | 0.357328i | −0.968542 | − | 0.248849i | \(-0.919948\pi\) |
0.994099 | − | 0.108478i | \(-0.0345979\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.266004 | − | 0.408585i | −0.0127539 | − | 0.0195901i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 10.9192 | + | 10.3637i | 0.522335 | + | 0.495765i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 18.9660 | + | 8.66148i | 0.905198 | + | 0.413390i | 0.812942 | − | 0.582345i | \(-0.197865\pi\) |
0.0922564 | + | 0.995735i | \(0.470592\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −39.4763 | − | 45.5581i | −1.87983 | − | 2.16943i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.14618 | + | 30.0075i | 0.101968 | + | 1.42570i | 0.748664 | + | 0.662949i | \(0.230696\pi\) |
−0.646696 | + | 0.762748i | \(0.723850\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −13.5262 | − | 24.4272i | −0.641202 | − | 1.15796i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.739350 | + | 0.553470i | 0.0349701 | + | 0.0261783i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −23.6470 | + | 10.7992i | −1.11597 | + | 0.509647i | −0.886063 | − | 0.463566i | \(-0.846570\pi\) |
−0.229908 | + | 0.973212i | \(0.573843\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 10.3175 | − | 16.0544i | 0.485833 | − | 0.755972i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.318443 | + | 0.425390i | 0.0149618 | + | 0.0199866i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −17.9037 | + | 18.1164i | −0.839337 | + | 0.849310i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.5427 | + | 8.48697i | −0.727058 | + | 0.397004i | −0.799736 | − | 0.600352i | \(-0.795027\pi\) |
0.0726783 | + | 0.997355i | \(0.476845\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.47933 | −0.162401 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.59398 | −0.213963 | −0.106981 | − | 0.994261i | \(-0.534119\pi\) | ||||
−0.106981 | + | 0.994261i | \(0.534119\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.7956 | − | 11.9013i | 1.01293 | − | 0.553101i | 0.115057 | − | 0.993359i | \(-0.463295\pi\) |
0.897871 | + | 0.440258i | \(0.145113\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.151451 | 0.000894497i | −0.00702338 | 4.14813e-5i | ||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −18.3930 | − | 24.5702i | −0.851127 | − | 1.13697i | −0.989203 | − | 0.146550i | \(-0.953183\pi\) |
0.138077 | − | 0.990422i | \(-0.455908\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.4456 | + | 16.2536i | −0.482332 | + | 0.750523i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.19477 | + | 0.545632i | −0.0550519 | + | 0.0251414i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.44974 | − | 1.83385i | −0.112639 | − | 0.0843205i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.7395 | − | 10.4176i | 0.538645 | − | 0.477994i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.18694 | − | 30.5774i | −0.100133 | − | 1.40004i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −22.7676 | − | 26.2752i | −1.04028 | − | 1.20054i | −0.979302 | − | 0.202404i | \(-0.935125\pi\) |
−0.0609748 | − | 0.998139i | \(-0.519421\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 16.6135 | + | 7.58713i | 0.757510 | + | 0.345943i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.21389 | + | 0.760557i | 0.100735 | + | 0.0346065i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 20.0286 | − | 13.0394i | 0.909450 | − | 0.592087i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.63312 | + | 36.8159i | −0.119318 | + | 1.66829i | 0.487256 | + | 0.873259i | \(0.337998\pi\) |
−0.606574 | + | 0.795027i | \(0.707457\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.45629 | − | 1.26188i | −0.0658558 | − | 0.0570644i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −11.2432 | + | 3.30129i | −0.507397 | + | 0.148985i | −0.525404 | − | 0.850853i | \(-0.676086\pi\) |
0.0180074 | + | 0.999838i | \(0.494268\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.64814 | + | 11.5526i | −0.389493 | + | 0.520301i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −19.7030 | + | 14.9318i | −0.885582 | + | 0.671136i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 64.7064 | − | 14.0760i | 2.90248 | − | 0.631395i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 29.6737 | + | 4.26643i | 1.32838 | + | 0.190992i | 0.769706 | − | 0.638399i | \(-0.220403\pi\) |
0.558670 | + | 0.829390i | \(0.311312\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.60943 | − | 1.03432i | 0.0719040 | − | 0.0462099i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −16.1298 | − | 29.5396i | −0.719194 | − | 1.31711i | −0.939794 | − | 0.341741i | \(-0.888983\pi\) |
0.220600 | − | 0.975364i | \(-0.429198\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.966628 | + | 4.32050i | 0.0430144 | + | 0.192260i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.544560 | + | 0.544560i | 0.0241848 | + | 0.0241848i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −5.85578 | + | 19.9430i | −0.259553 | + | 0.883956i | 0.721858 | + | 0.692041i | \(0.243288\pi\) |
−0.981411 | + | 0.191916i | \(0.938530\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.54740 | + | 5.51986i | 0.156928 | + | 0.244184i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.41029 | + | 1.05573i | −0.0622657 | + | 0.0466115i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −15.5284 | + | 7.20272i | −0.684263 | + | 0.317390i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −31.3316 | − | 11.6861i | −1.37796 | − | 0.513954i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.399448 | + | 0.0574320i | −0.0175338 | + | 0.00252098i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.36709 | − | 21.6843i | −0.278947 | − | 0.950007i | −0.973139 | − | 0.230217i | \(-0.926056\pi\) |
0.694192 | − | 0.719790i | \(-0.255762\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −25.5022 | + | 1.82395i | −1.11513 | + | 0.0797558i | −0.616718 | − | 0.787184i | \(-0.711538\pi\) |
−0.498413 | + | 0.866940i | \(0.666084\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.987544 | − | 2.23182i | 0.0431000 | − | 0.0974044i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.56662 | + | 4.20027i | 0.0682430 | + | 0.182966i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.5642 | − | 4.45625i | 0.981051 | − | 0.193750i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.40053 | − | 3.06674i | 0.0607780 | − | 0.133085i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 11.2579 | + | 0.805180i | 0.487633 | + | 0.0348762i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 36.7624 | − | 11.0307i | 1.58938 | − | 0.476898i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.32896 | − | 0.725666i | −0.0573488 | − | 0.0313148i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −10.6007 | − | 73.7295i | −0.456604 | − | 3.17575i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 15.5497 | + | 34.0491i | 0.668534 | + | 1.46389i | 0.874350 | + | 0.485295i | \(0.161288\pi\) |
−0.205816 | + | 0.978591i | \(0.565985\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.200117 | + | 0.919922i | 0.00858784 | + | 0.0394777i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −36.7410 | + | 2.84597i | −1.57381 | + | 0.121908i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.9800 | + | 5.43406i | 1.06807 | + | 0.232344i | 0.712045 | − | 0.702134i | \(-0.247769\pi\) |
0.356022 | + | 0.934478i | \(0.384133\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −14.4341 | − | 4.23822i | −0.616030 | − | 0.180883i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.30671i | 0.311276i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.92126 | + | 6.92126i | −0.294322 | + | 0.294322i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.74627 | − | 0.114534i | −0.0741251 | − | 0.00486169i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.91394 | − | 13.3952i | 0.123468 | − | 0.567572i | −0.873296 | − | 0.487189i | \(-0.838022\pi\) |
0.996764 | − | 0.0803824i | \(-0.0256141\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.257563 | − | 1.79139i | 0.0108938 | − | 0.0757678i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.80573 | − | 1.16047i | −0.0762380 | − | 0.0489952i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −7.20354 | + | 19.3134i | −0.303593 | + | 0.813964i | 0.692147 | + | 0.721757i | \(0.256665\pi\) |
−0.995740 | + | 0.0922075i | \(0.970608\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.25416 | − | 3.26122i | −0.305185 | − | 0.137201i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 22.2786 | − | 40.8003i | 0.935615 | − | 1.71345i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 5.30428 | − | 6.12147i | 0.222367 | − | 0.256625i | −0.633594 | − | 0.773666i | \(-0.718421\pi\) |
0.855961 | + | 0.517041i | \(0.172966\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.5118 | + | 14.3075i | −0.690996 | + | 0.598752i | −0.927921 | − | 0.372776i | \(-0.878406\pi\) |
0.236925 | + | 0.971528i | \(0.423860\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.20157 | + | 0.448163i | −0.0501963 | + | 0.0187223i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.61580 | − | 23.8361i | −0.109086 | − | 0.994032i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.94505 | + | 2.59037i | −0.289126 | + | 0.107838i | −0.489843 | − | 0.871811i | \(-0.662946\pi\) |
0.200716 | + | 0.979649i | \(0.435673\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.73739 | − | 1.50546i | 0.0722034 | − | 0.0625646i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 49.1811 | − | 56.7580i | 2.04038 | − | 2.35472i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 18.1537 | − | 33.2461i | 0.751851 | − | 1.37691i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −13.3354 | − | 5.99514i | −0.551351 | − | 0.247868i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −8.34600 | + | 22.3765i | −0.344476 | + | 0.923577i | 0.643008 | + | 0.765859i | \(0.277686\pi\) |
−0.987484 | + | 0.157717i | \(0.949587\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.90948 | + | 1.22715i | 0.0786787 | + | 0.0505637i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.140994 | − | 0.980633i | 0.00579971 | − | 0.0403378i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −9.86386 | + | 45.3434i | −0.405060 | + | 1.86203i | 0.0941617 | + | 0.995557i | \(0.469983\pi\) |
−0.499222 | + | 0.866474i | \(0.666381\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −72.0832 | − | 4.72776i | −2.95512 | − | 0.193819i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.308958 | − | 0.308958i | 0.0126448 | − | 0.0126448i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 21.0837i | − | 0.861457i | −0.902482 | − | 0.430729i | \(-0.858257\pi\) | ||
0.902482 | − | 0.430729i | \(-0.141743\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 3.89733 | + | 1.14436i | 0.158976 | + | 0.0466794i | 0.360252 | − | 0.932855i | \(-0.382691\pi\) |
−0.201276 | + | 0.979534i | \(0.564509\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −10.8374 | − | 2.35753i | −0.441332 | − | 0.0960059i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.93302 | + | 0.459573i | −0.241211 | + | 0.0186843i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 8.53964 | + | 39.2561i | 0.346613 | + | 1.59336i | 0.739098 | + | 0.673598i | \(0.235252\pi\) |
−0.392485 | + | 0.919759i | \(0.628384\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.471976 | + | 1.03348i | 0.0191254 | + | 0.0418789i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.81459 | − | 19.5759i | −0.113866 | − | 0.791956i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 31.9886 | + | 17.4671i | 1.29201 | + | 0.705489i | 0.970427 | − | 0.241393i | \(-0.0776043\pi\) |
0.321580 | + | 0.946882i | \(0.395786\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −1.03584 | + | 0.310808i | −0.0417693 | + | 0.0125330i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −36.9027 | − | 2.63934i | −1.48565 | − | 0.106256i | −0.695214 | − | 0.718803i | \(-0.744690\pi\) |
−0.790434 | + | 0.612547i | \(0.790145\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −9.25412 | + | 20.2637i | −0.371954 | + | 0.814466i | 0.627406 | + | 0.778693i | \(0.284117\pi\) |
−0.999360 | + | 0.0357737i | \(0.988610\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.0702169 | + | 2.69054i | 0.00281771 | + | 0.107968i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 22.7392 | + | 60.9662i | 0.911027 | + | 2.44256i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.9930 | + | 0.590556i | −0.999721 | + | 0.0236222i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.08404 | + | 0.0775321i | −0.0432924 | + | 0.00309633i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 14.5936 | + | 49.7011i | 0.581884 | + | 1.98171i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −16.2403 | + | 2.33500i | −0.646515 | + | 0.0929548i | −0.457769 | − | 0.889071i | \(-0.651351\pi\) |
−0.188746 | + | 0.982026i | \(0.560442\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.0971701 | − | 0.0362426i | −0.00386216 | − | 0.00144051i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −6.28464 | + | 2.91508i | −0.249398 | + | 0.115681i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 35.2668 | − | 26.4004i | 1.39732 | − | 1.04602i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 20.5512 | + | 31.9783i | 0.812992 | + | 1.26504i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.0786 | + | 44.5416i | −0.516573 | + | 1.75929i | 0.124930 | + | 0.992166i | \(0.460129\pi\) |
−0.641503 | + | 0.767121i | \(0.721689\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.82024 | + | 2.82024i | 0.111220 | + | 0.111220i | 0.760526 | − | 0.649307i | \(-0.224941\pi\) |
−0.649307 | + | 0.760526i | \(0.724941\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.0378618 | + | 0.169230i | 0.00149081 | + | 0.00666341i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 4.11924 | + | 7.54383i | 0.161944 | + | 0.296578i | 0.946033 | − | 0.324070i | \(-0.105051\pi\) |
−0.784089 | + | 0.620648i | \(0.786869\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.50457 | − | 2.25225i | 0.137566 | − | 0.0884085i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.349350 | + | 0.0502289i | 0.0136921 | + | 0.00196863i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.86422 | − | 1.05815i | 0.190352 | − | 0.0414085i | −0.116379 | − | 0.993205i | \(-0.537129\pi\) |
0.306730 | + | 0.951796i | \(0.400765\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.34305 | + | 1.77567i | −0.0915505 | + | 0.0693813i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.25720 | + | 3.01527i | −0.0880618 | + | 0.117637i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 16.1318 | − | 4.73672i | 0.628405 | − | 0.184516i | 0.0480038 | − | 0.998847i | \(-0.484714\pi\) |
0.580401 | + | 0.814331i | \(0.302896\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.96638 | + | 7.76941i | 0.348752 | + | 0.302195i | 0.811567 | − | 0.584260i | \(-0.198615\pi\) |
−0.462815 | + | 0.886455i | \(0.653161\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.0905633 | − | 1.26624i | 0.00351719 | − | 0.0491767i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −30.6522 | + | 19.9558i | −1.18864 | + | 0.773851i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.10803 | + | 6.45439i | 0.352664 | + | 0.249915i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.268574 | + | 0.122654i | 0.0103837 | + | 0.00474207i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −12.1728 | − | 14.0482i | −0.469927 | − | 0.542325i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.813003 | + | 11.3673i | 0.0313390 | + | 0.438176i | 0.988763 | + | 0.149491i | \(0.0477635\pi\) |
−0.957424 | + | 0.288685i | \(0.906782\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.80106 | + | 0.167106i | 0.107813 | + | 0.00643192i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −36.4239 | − | 27.2666i | −1.39988 | − | 1.04794i | −0.990784 | − | 0.135452i | \(-0.956752\pi\) |
−0.409101 | − | 0.912489i | \(-0.634158\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −50.6607 | + | 23.1360i | −1.94418 | + | 0.887877i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.0306428 | + | 0.0476811i | −0.00117424 | + | 0.00182715i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −18.5080 | − | 24.7237i | −0.708188 | − | 0.946028i | 0.291758 | − | 0.956492i | \(-0.405760\pi\) |
−0.999945 | + | 0.0104644i | \(0.996669\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 43.1668 | − | 0.254951i | 1.64932 | − | 0.00974117i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.333639 | − | 0.182181i | 0.0127291 | − | 0.00695063i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 22.4028 | 0.853480 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.37208 | −0.0902382 | −0.0451191 | − | 0.998982i | \(-0.514367\pi\) | ||||
−0.0451191 | + | 0.998982i | \(0.514367\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 50.5637 | − | 27.6099i | 1.92076 | − | 1.04881i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 22.1732 | − | 22.4366i | 0.841076 | − | 0.851070i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 19.1833 | + | 25.6258i | 0.726617 | + | 0.970647i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.251151 | + | 0.390799i | −0.00949941 | + | 0.0147814i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −46.3864 | + | 21.1839i | −1.75199 | + | 0.800106i | −0.764070 | + | 0.645133i | \(0.776802\pi\) |
−0.987919 | + | 0.154973i | \(0.950471\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 20.9960 | + | 15.7174i | 0.791877 | + | 0.592792i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.917994 | + | 1.65783i | 0.0345737 | + | 0.0624374i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.736024 | − | 10.2910i | −0.0276810 | − | 0.387032i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.0763 | − | 20.8612i | −0.678871 | − | 0.783459i | 0.306866 | − | 0.951753i | \(-0.400720\pi\) |
−0.985737 | + | 0.168294i | \(0.946174\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −5.11101 | − | 2.33412i | −0.191678 | − | 0.0875363i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.21641 | − | 1.29622i | 0.120456 | − | 0.0485438i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.85709 | − | 15.1406i | −0.368634 | − | 0.566225i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.104911 | + | 1.46684i | −0.00391796 | + | 0.0547802i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −4.52564 | − | 3.92149i | −0.168778 | − | 0.146247i | 0.566376 | − | 0.824147i | \(-0.308345\pi\) |
−0.735154 | + | 0.677900i | \(0.762890\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 38.2743 | − | 11.2383i | 1.42541 | − | 0.418538i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.0833787 | − | 0.111381i | 0.00310089 | − | 0.00414230i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 7.51708 | − | 8.88510i | 0.279177 | − | 0.329984i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13.7349 | − | 2.98785i | 0.509401 | − | 0.110813i | 0.0494831 | − | 0.998775i | \(-0.484243\pi\) |
0.459917 | + | 0.887962i | \(0.347879\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.2573 | + | 3.77523i | 0.972494 | + | 0.139823i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.31807 | − | 2.77506i | 0.159710 | − | 0.102639i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.72159 | + | 6.81559i | 0.137460 | + | 0.251740i | 0.937337 | − | 0.348425i | \(-0.113283\pi\) |
−0.799876 | + | 0.600165i | \(0.795102\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.26112 | + | 3.56448i | −0.0834025 | + | 0.131478i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −9.69049 | − | 9.69049i | −0.356954 | − | 0.356954i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.354436 | − | 1.20710i | 0.0130381 | − | 0.0444038i | −0.952717 | − | 0.303859i | \(-0.901725\pi\) |
0.965755 | + | 0.259455i | \(0.0835430\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.347504 | − | 0.540728i | −0.0127659 | − | 0.0198641i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −3.81643 | + | 2.85694i | −0.140011 | + | 0.104811i | −0.666987 | − | 0.745069i | \(-0.732417\pi\) |
0.526976 | + | 0.849880i | \(0.323326\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.58240 | + | 20.7018i | −0.277798 | + | 0.758455i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 40.3930 | + | 15.0658i | 1.47790 | + | 0.551229i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −88.5328 | + | 12.7291i | −3.23492 | + | 0.465111i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.37467 | − | 18.3044i | −0.196124 | − | 0.667938i | −0.997557 | − | 0.0698536i | \(-0.977747\pi\) |
0.801433 | − | 0.598085i | \(-0.204071\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −1.98609 | + | 0.142048i | −0.0723772 | + | 0.00517652i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −7.54157 | + | 10.1994i | −0.274466 | + | 0.371193i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.94391 | − | 7.89292i | −0.106998 | − | 0.286873i | 0.872406 | − | 0.488781i | \(-0.162558\pi\) |
−0.979404 | + | 0.201908i | \(0.935286\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −0.860942 | + | 1.41978i | −0.0312502 | + | 0.0515346i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 2.69497 | − | 5.90117i | 0.0976927 | − | 0.213917i | −0.854475 | − | 0.519492i | \(-0.826121\pi\) |
0.952168 | + | 0.305575i | \(0.0988486\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 85.6576 | + | 6.12635i | 3.10101 | + | 0.221789i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −11.9175 | − | 39.7180i | −0.430878 | − | 1.43601i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 2.16243 | + | 1.18077i | 0.0780807 | + | 0.0426353i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.20768 | − | 36.2202i | −0.187794 | − | 1.30613i | −0.837704 | − | 0.546124i | \(-0.816103\pi\) |
0.649910 | − | 0.760011i | \(-0.274806\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.592213 | − | 1.29677i | −0.0213280 | − | 0.0467019i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.21535 | − | 37.7653i | −0.295486 | − | 1.35833i | −0.850277 | − | 0.526336i | \(-0.823566\pi\) |
0.554791 | − | 0.831989i | \(-0.312798\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.05948 | − | 3.45669i | −0.0380578 | − | 0.124168i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 3.98499 | + | 0.866882i | 0.142961 | + | 0.0310992i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 15.5512 | + | 4.56624i | 0.557179 | + | 0.163602i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 46.9704i | 1.68073i | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.923698 | + | 0.923698i | −0.0330103 | + | 0.0330103i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −20.6722 | − | 23.5742i | −0.737822 | − | 0.841399i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 8.65982 | − | 39.8085i | 0.308689 | − | 1.41902i | −0.517527 | − | 0.855667i | \(-0.673147\pi\) |
0.826216 | − | 0.563354i | \(-0.190489\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.160181 | + | 1.11409i | −0.00570261 | + | 0.0396625i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 15.5923 | + | 10.0205i | 0.554398 | + | 0.356290i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.84188 | − | 10.3005i | 0.136429 | − | 0.365781i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −2.00679 | + | 0.762027i | −0.0711737 | + | 0.0270263i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 0.907934 | − | 1.66276i | 0.0321607 | − | 0.0588979i | −0.861104 | − | 0.508428i | \(-0.830227\pi\) |
0.893265 | + | 0.449530i | \(0.148409\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 36.7319 | − | 42.3908i | 1.29948 | − | 1.49968i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −28.2287 | + | 24.4603i | −0.997413 | + | 0.864263i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −4.36069 | + | 1.62645i | −0.153885 | + | 0.0573962i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.20122 | + | 55.8368i | −0.0775827 | + | 1.96799i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.641341 | + | 0.239208i | −0.0225763 | + | 0.00842051i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 14.3327 | − | 12.4194i | 0.503912 | − | 0.436643i | −0.365440 | − | 0.930835i | \(-0.619082\pi\) |
0.869353 | + | 0.494192i | \(0.164536\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −25.9379 | + | 29.9339i | −0.910802 | + | 1.05112i | 0.0876859 | + | 0.996148i | \(0.472053\pi\) |
−0.998488 | + | 0.0549733i | \(0.982493\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.296100 | − | 0.542266i | 0.0103847 | − | 0.0190181i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 18.8612 | − | 41.9542i | 0.660679 | − | 1.46959i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.908224 | − | 2.43504i | 0.0317747 | − | 0.0851914i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 28.6634 | + | 18.4209i | 1.00158 | + | 0.643677i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1.55883 | − | 10.8419i | 0.0544035 | − | 0.378385i | −0.944371 | − | 0.328883i | \(-0.893328\pi\) |
0.998774 | − | 0.0495014i | \(-0.0157632\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 1.01471 | − | 4.66453i | 0.0353704 | − | 0.162595i | −0.956074 | − | 0.293126i | \(-0.905304\pi\) |
0.991444 | + | 0.130531i | \(0.0416681\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.39798 | + | 1.02097i | 0.0486713 | + | 0.0355456i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 30.5587 | − | 30.5587i | 1.06263 | − | 1.06263i | 0.0647275 | − | 0.997903i | \(-0.479382\pi\) |
0.997903 | − | 0.0647275i | \(-0.0206178\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 9.00927i | 0.312905i | 0.987686 | + | 0.156452i | \(0.0500058\pi\) | ||||
−0.987686 | + | 0.156452i | \(0.949994\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.17752 | + | 0.345750i | 0.0408476 | + | 0.0119939i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 122.088 | + | 26.5585i | 4.23008 | + | 0.920198i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 34.6904 | + | 29.7025i | 1.20051 | + | 1.02790i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.0862588 | + | 0.396525i | 0.00298154 | + | 0.0137059i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −5.77968 | − | 12.6557i | −0.199537 | − | 0.436924i | 0.783240 | − | 0.621719i | \(-0.213565\pi\) |
−0.982777 | + | 0.184794i | \(0.940838\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.35606 | − | 23.3419i | −0.115726 | − | 0.804894i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −0.486840 | − | 0.265835i | −0.0167676 | − | 0.00915583i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −8.71503 | + | 16.1869i | −0.299806 | + | 0.556848i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.8322 | + | 0.989296i | 0.475279 | + | 0.0339926i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −0.998320 | + | 2.18602i | −0.0342623 | + | 0.0750239i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 38.1389 | − | 12.2881i | 1.30739 | − | 0.421231i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −14.5223 | − | 38.9357i | −0.497232 | − | 1.33313i | −0.907073 | − | 0.420974i | \(-0.861688\pi\) |
0.409840 | − | 0.912157i | \(-0.365584\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −16.8821 | − | 12.4829i | −0.577356 | − | 0.426906i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −50.0636 | + | 3.58062i | −1.71014 | + | 0.122312i | −0.891801 | − | 0.452427i | \(-0.850558\pi\) |
−0.818337 | + | 0.574738i | \(0.805104\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.21934 | − | 21.1811i | −0.212201 | − | 0.722690i | −0.994952 | − | 0.100355i | \(-0.968002\pi\) |
0.782751 | − | 0.622335i | \(-0.213816\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.49456 | − | 0.358664i | 0.0850144 | − | 0.0122232i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 4.80760 | + | 1.79314i | 0.163653 | + | 0.0610393i | 0.429955 | − | 0.902850i | \(-0.358529\pi\) |
−0.266303 | + | 0.963889i | \(0.585802\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.05356 | − | 8.73909i | −0.137825 | − | 0.297138i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1.60749 | − | 1.20335i | 0.0545933 | − | 0.0408680i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.75359 | − | 5.84069i | −0.127332 | − | 0.198132i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.28347 | − | 7.77679i | 0.0773725 | − | 0.263507i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −22.6064 | − | 22.6064i | −0.765110 | − | 0.765110i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 57.8039 | + | 7.26814i | 1.95413 | + | 0.245708i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.0652 | − | 33.0839i | −0.610017 | − | 1.11716i | −0.981992 | − | 0.188920i | \(-0.939501\pi\) |
0.371976 | − | 0.928243i | \(-0.378680\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 1.13147 | − | 0.727153i | 0.0381636 | − | 0.0245263i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −3.51891 | − | 0.505942i | −0.118555 | − | 0.0170456i | 0.0827819 | − | 0.996568i | \(-0.473620\pi\) |
−0.201337 | + | 0.979522i | \(0.564529\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.1818 | + | 4.17274i | −0.645519 | + | 0.140424i | −0.523394 | − | 0.852091i | \(-0.675334\pi\) |
−0.122125 | + | 0.992515i | \(0.538971\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.233869 | − | 0.0322167i | −0.00786142 | − | 0.00108295i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −9.99376 | + | 13.3501i | −0.335558 | + | 0.448252i | −0.936306 | − | 0.351186i | \(-0.885779\pi\) |
0.600748 | + | 0.799438i | \(0.294869\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 15.4903 | − | 4.54837i | 0.519529 | − | 0.152547i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 24.9197 | + | 21.5930i | 0.834840 | + | 0.723393i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.02605 | − | 28.3279i | 0.0677991 | − | 0.947956i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.47452 | − | 35.3641i | 0.249846 | − | 1.18209i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.981001 | − | 0.0444777i | −0.0327547 | − | 0.00148507i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.53100 | + | 0.699184i | 0.0510617 | + | 0.0233191i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 41.6084 | + | 48.0187i | 1.38618 | + | 1.59973i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.0288293 | − | 0.403087i | −0.000959380 | − | 0.0134139i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −19.6605 | + | 10.8867i | −0.653536 | + | 0.361885i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −20.2185 | − | 15.1354i | −0.671343 | − | 0.502561i | 0.208380 | − | 0.978048i | \(-0.433181\pi\) |
−0.879723 | + | 0.475487i | \(0.842272\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 5.38729 | − | 2.46029i | 0.178685 | − | 0.0816028i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −3.60786 | + | 5.61394i | −0.119534 | + | 0.185998i | −0.895864 | − | 0.444328i | \(-0.853442\pi\) |
0.776330 | + | 0.630326i | \(0.217079\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 31.9238 | + | 42.6452i | 1.05652 | + | 1.41135i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.00622141 | + | 1.05337i | 0.000205673 | + | 0.0348235i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.01297 | − | 3.28333i | 0.198566 | − | 0.108425i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.30621 | −0.306984 | −0.153492 | − | 0.988150i | \(-0.549052\pi\) | ||||
−0.153492 | + | 0.988150i | \(0.549052\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.964722 | −0.0317887 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −24.3814 | + | 13.3132i | −0.802523 | + | 0.438210i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.36157 | − | 40.7130i | −0.307807 | − | 1.33864i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 13.7225 | + | 18.3311i | 0.450707 | + | 0.602073i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −13.9736 | + | 21.7433i | −0.458458 | + | 0.713374i | −0.991122 | − | 0.132952i | \(-0.957554\pi\) |
0.532665 | + | 0.846326i | \(0.321191\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 57.5446 | − | 26.2798i | 1.88595 | − | 0.861284i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.529437 | + | 0.396332i | 0.0173330 | + | 0.0129753i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 14.1452 | − | 49.2482i | 0.462597 | − | 1.61059i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.280166 | − | 3.91723i | −0.00915262 | − | 0.127970i | 0.990821 | − | 0.135177i | \(-0.0431604\pi\) |
−0.999974 | + | 0.00720707i | \(0.997706\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1.74791 | + | 2.01720i | 0.0570409 | + | 0.0658287i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 10.6775 | + | 4.87624i | 0.348076 | + | 0.158961i | 0.581778 | − | 0.813347i | \(-0.302357\pi\) |
−0.233703 | + | 0.972308i | \(0.575084\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 19.4291 | − | 15.3514i | 0.632698 | − | 0.499910i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −6.39774 | − | 1.35222i | −0.208119 | − | 0.0439877i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.499312 | + | 6.98129i | −0.0162255 | + | 0.226861i | 0.982869 | + | 0.184307i | \(0.0590041\pi\) |
−0.999094 | + | 0.0425543i | \(0.986450\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.08025 | − | 1.80254i | −0.0675276 | − | 0.0585130i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −2.06697 | + | 0.606917i | −0.0670261 | + | 0.0196806i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.37164 | − | 8.51151i | 0.206398 | − | 0.275715i | −0.685383 | − | 0.728183i | \(-0.740365\pi\) |
0.891781 | + | 0.452468i | \(0.149456\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18.4903 | − | 24.3985i | −0.598332 | − | 0.789515i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.787472 | + | 0.171304i | −0.0254553 | + | 0.00553747i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −99.5722 | − | 14.3163i | −3.21536 | − | 0.462298i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.6390 | + | 16.4772i | −0.827065 | + | 0.531522i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −24.6065 | − | 45.0634i | −0.792932 | − | 1.45215i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 46.3405 | + | 29.3960i | 1.49175 | + | 0.946290i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −28.4658 | − | 28.4658i | −0.915397 | − | 0.915397i | 0.0812932 | − | 0.996690i | \(-0.474095\pi\) |
−0.996690 | + | 0.0812932i | \(0.974095\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.513591 | − | 1.74913i | 0.0164989 | − | 0.0561902i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 31.8548 | + | 49.5670i | 1.02227 | + | 1.59068i | 0.785253 | + | 0.619175i | \(0.212533\pi\) |
0.237015 | + | 0.971506i | \(0.423831\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −58.8478 | + | 44.0529i | −1.88657 | + | 1.41227i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.133724 | + | 1.01504i | −0.00428259 | + | 0.0325074i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 46.8619 | + | 17.4786i | 1.49925 | + | 0.559190i | 0.959270 | − | 0.282491i | \(-0.0911608\pi\) |
0.539976 | + | 0.841681i | \(0.318433\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −45.6843 | + | 6.56840i | −1.46008 | + | 0.209927i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 13.8884 | + | 47.2995i | 0.443422 | + | 1.51016i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 24.8242 | − | 1.77546i | 0.791769 | − | 0.0566284i | 0.330405 | − | 0.943839i | \(-0.392815\pi\) |
0.461364 | + | 0.887211i | \(0.347360\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 23.3888 | − | 3.50391i | 0.745228 | − | 0.111644i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.54326 | − | 4.13765i | −0.0491226 | − | 0.131703i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −2.23307 | − | 3.28312i | −0.0710075 | − | 0.104397i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.2444 | − | 42.1394i | 0.611320 | − | 1.33860i | −0.310348 | − | 0.950623i | \(-0.600446\pi\) |
0.921668 | − | 0.387980i | \(-0.126827\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −1.82457 | − | 0.130496i | −0.0579011 | − | 0.00414117i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 9.18372 | + | 4.94451i | 0.291144 | + | 0.156751i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 22.0128 | + | 12.0199i | 0.697151 | + | 0.380673i | 0.788407 | − | 0.615154i | \(-0.210906\pi\) |
−0.0912559 | + | 0.995827i | \(0.529088\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0.667306 | + | 4.64121i | 0.0211126 | + | 0.146842i |
(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 | 920.2.bv.a.17.17 | ✓ | 720 | |
5.3 | odd | 4 | inner | 920.2.bv.a.753.17 | yes | 720 | |
23.19 | odd | 22 | inner | 920.2.bv.a.617.17 | yes | 720 | |
115.88 | even | 44 | inner | 920.2.bv.a.433.17 | yes | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bv.a.17.17 | ✓ | 720 | 1.1 | even | 1 | trivial | |
920.2.bv.a.433.17 | yes | 720 | 115.88 | even | 44 | inner | |
920.2.bv.a.617.17 | yes | 720 | 23.19 | odd | 22 | inner | |
920.2.bv.a.753.17 | yes | 720 | 5.3 | odd | 4 | inner |