Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(5,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.s (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 161.2 | ||
Character | \(\chi\) | \(=\) | 804.161 |
Dual form | 804.2.s.b.5.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{22}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.58909 | − | 0.689041i | −0.917464 | − | 0.397818i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.06595 | + | 0.900243i | 1.37113 | + | 0.402601i | 0.882674 | − | 0.469986i | \(-0.155741\pi\) |
0.488459 | + | 0.872587i | \(0.337559\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.591666 | − | 0.512682i | 0.223629 | − | 0.193775i | −0.535839 | − | 0.844320i | \(-0.680005\pi\) |
0.759468 | + | 0.650545i | \(0.225459\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.05045 | + | 2.18990i | 0.683482 | + | 0.729968i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.86665 | + | 1.42898i | 1.46735 | + | 0.430852i | 0.915236 | − | 0.402917i | \(-0.132004\pi\) |
0.552112 | + | 0.833770i | \(0.313822\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.95958 | + | 4.60520i | −0.820840 | + | 1.27725i | 0.137179 | + | 0.990546i | \(0.456196\pi\) |
−0.958019 | + | 0.286705i | \(0.907440\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.25177 | − | 3.54313i | −1.09780 | − | 0.914833i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.50325 | + | 0.647469i | −1.09220 | + | 0.157034i | −0.664794 | − | 0.747027i | \(-0.731481\pi\) |
−0.427403 | + | 0.904061i | \(0.640572\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.29471 | − | 1.49418i | 0.297027 | − | 0.342787i | −0.587545 | − | 0.809192i | \(-0.699905\pi\) |
0.884572 | + | 0.466404i | \(0.154451\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.29347 | + | 0.407017i | −0.282259 | + | 0.0888185i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.56007 | − | 1.16914i | −0.533812 | − | 0.243784i | 0.130224 | − | 0.991485i | \(-0.458430\pi\) |
−0.664036 | + | 0.747701i | \(0.731158\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.38332 | + | 2.81699i | 0.876664 | + | 0.563398i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.74942 | − | 4.89280i | −0.336676 | − | 0.941621i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.91969i | 0.913564i | 0.889579 | + | 0.456782i | \(0.150998\pi\) | ||||
−0.889579 | + | 0.456782i | \(0.849002\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.39701 | + | 5.28586i | 0.610122 | + | 0.949368i | 0.999599 | + | 0.0283318i | \(0.00901950\pi\) |
−0.389477 | + | 0.921036i | \(0.627344\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.74894 | − | 5.62410i | −1.17484 | − | 0.979030i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.27555 | − | 1.03921i | 0.384639 | − | 0.175659i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.77494 | 0.620596 | 0.310298 | − | 0.950639i | \(-0.399571\pi\) | ||||
0.310298 | + | 0.950639i | \(0.399571\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 7.87622 | − | 5.27882i | 1.26121 | − | 0.845288i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.190364 | + | 1.32401i | 0.0297299 | + | 0.206776i | 0.999272 | − | 0.0381483i | \(-0.0121459\pi\) |
−0.969542 | + | 0.244924i | \(0.921237\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.46946 | − | 1.21772i | 1.29158 | − | 0.185701i | 0.537937 | − | 0.842985i | \(-0.319204\pi\) |
0.753643 | + | 0.657284i | \(0.228295\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 4.31511 | + | 8.56002i | 0.643258 | + | 1.27605i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.21808 | + | 0.556280i | 0.177676 | + | 0.0811417i | 0.502267 | − | 0.864713i | \(-0.332499\pi\) |
−0.324591 | + | 0.945854i | \(0.605227\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.908978 | + | 6.32208i | −0.129854 | + | 0.903154i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.60222 | + | 2.07403i | 1.06452 | + | 0.290422i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.69585 | − | 11.7949i | 0.232943 | − | 1.62016i | −0.452316 | − | 0.891858i | \(-0.649402\pi\) |
0.685259 | − | 0.728299i | \(-0.259689\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 13.6344 | + | 8.76233i | 1.83847 | + | 1.18151i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.08697 | + | 1.48228i | −0.408879 | + | 0.196333i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.76970 | − | 7.42180i | −0.620963 | − | 0.966237i | −0.999179 | − | 0.0405193i | \(-0.987099\pi\) |
0.378216 | − | 0.925717i | \(-0.376538\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.83621 | + | 13.0649i | 0.491176 | + | 1.67279i | 0.715766 | + | 0.698340i | \(0.246078\pi\) |
−0.224590 | + | 0.974453i | \(0.572104\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.33590 | + | 0.244466i | 0.294296 | + | 0.0307998i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −13.2197 | + | 11.4549i | −1.63970 | + | 1.42081i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.21150 | − | 8.09520i | 0.148008 | − | 0.988986i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.26261 | + | 3.62188i | 0.392772 | + | 0.436023i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.49276 | − | 0.645961i | −0.533192 | − | 0.0766614i | −0.129540 | − | 0.991574i | \(-0.541350\pi\) |
−0.403652 | + | 0.914913i | \(0.632259\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.01307 | − | 0.591090i | 0.235612 | − | 0.0691818i | −0.161795 | − | 0.986824i | \(-0.551728\pi\) |
0.397407 | + | 0.917643i | \(0.369910\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.02449 | − | 7.49675i | −0.580178 | − | 0.865650i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.61204 | − | 1.64956i | 0.411630 | − | 0.187985i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.99859 | − | 4.66590i | 0.337368 | − | 0.524955i | −0.630574 | − | 0.776129i | \(-0.717180\pi\) |
0.967942 | + | 0.251175i | \(0.0808168\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.591350 | + | 8.98055i | −0.0657056 | + | 0.997839i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.16155 | + | 3.95589i | −0.127497 | + | 0.434215i | −0.998356 | − | 0.0573178i | \(-0.981745\pi\) |
0.870859 | + | 0.491533i | \(0.163563\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −14.3896 | − | 2.06891i | −1.56077 | − | 0.224405i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.38987 | − | 7.81785i | 0.363432 | − | 0.838162i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 14.3613 | − | 6.55861i | 1.52230 | − | 0.695211i | 0.533685 | − | 0.845683i | \(-0.320807\pi\) |
0.988614 | + | 0.150472i | \(0.0480795\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.609916 | + | 4.24206i | 0.0639366 | + | 0.444689i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.75601 | − | 10.7404i | −0.182089 | − | 1.11373i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 5.31463 | − | 3.41551i | 0.545270 | − | 0.350424i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 3.09130i | − | 0.313874i | −0.987609 | − | 0.156937i | \(-0.949838\pi\) | ||
0.987609 | − | 0.156937i | \(-0.0501619\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.84947 | + | 13.5875i | 0.688398 | + | 1.36560i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.16124 | + | 2.49420i | −0.215051 | + | 0.248182i | −0.853018 | − | 0.521882i | \(-0.825230\pi\) |
0.637967 | + | 0.770064i | \(0.279776\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.11999 | + | 2.64776i | −0.405955 | + | 0.260891i | −0.727645 | − | 0.685954i | \(-0.759385\pi\) |
0.321691 | + | 0.946845i | \(0.395749\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.33213 | + | 0.0834544i | −0.422773 | + | 0.00814432i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.05837 | + | 10.4159i | 0.295664 | + | 1.00694i | 0.964622 | + | 0.263638i | \(0.0849225\pi\) |
−0.668958 | + | 0.743300i | \(0.733259\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.72176 | − | 5.79117i | 0.356480 | − | 0.554693i | −0.615981 | − | 0.787761i | \(-0.711240\pi\) |
0.972460 | + | 0.233068i | \(0.0748765\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.99873 | − | 2.60109i | −0.569375 | − | 0.246884i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 13.7712 | − | 4.04358i | 1.29548 | − | 0.380388i | 0.439896 | − | 0.898049i | \(-0.355015\pi\) |
0.855586 | + | 0.517661i | \(0.173197\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.79652 | − | 5.88922i | −0.633779 | − | 0.549173i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −16.1534 | + | 2.96151i | −1.49338 | + | 0.273792i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.33247 | + | 2.69182i | −0.213817 | + | 0.246758i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 12.3885 | + | 7.96159i | 1.12622 | + | 0.723781i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.609792 | − | 2.23515i | 0.0549831 | − | 0.201537i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.440399 | + | 0.508248i | 0.0393905 | + | 0.0454590i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.03409 | − | 10.4259i | −0.801646 | − | 0.925149i | 0.196824 | − | 0.980439i | \(-0.436937\pi\) |
−0.998470 | + | 0.0552898i | \(0.982392\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −14.2978 | − | 3.90072i | −1.25885 | − | 0.343440i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −14.8926 | − | 6.80123i | −1.30117 | − | 0.594226i | −0.360253 | − | 0.932854i | \(-0.617310\pi\) |
−0.940920 | + | 0.338628i | \(0.890037\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 1.54783i | − | 0.134214i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.958911 | − | 16.5760i | −0.0825299 | − | 1.42663i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.25736 | − | 13.7017i | 0.534603 | − | 1.17062i | −0.429006 | − | 0.903301i | \(-0.641136\pi\) |
0.963609 | − | 0.267315i | \(-0.0861365\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.64168 | + | 5.59103i | −0.139245 | + | 0.474225i | −0.999356 | − | 0.0358817i | \(-0.988576\pi\) |
0.860111 | + | 0.510107i | \(0.170394\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.55235 | − | 1.72329i | −0.130731 | − | 0.145127i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −20.9839 | + | 18.1827i | −1.75477 | + | 1.52051i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.42892 | + | 15.0835i | −0.367801 | + | 1.25262i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 5.80062 | − | 9.42006i | 0.478427 | − | 0.776953i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −15.6118 | − | 13.5277i | −1.27897 | − | 1.10823i | −0.988479 | − | 0.151358i | \(-0.951635\pi\) |
−0.290492 | − | 0.956877i | \(-0.593819\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.471751 | − | 3.28110i | −0.0383906 | − | 0.267012i | 0.961581 | − | 0.274521i | \(-0.0885191\pi\) |
−0.999972 | + | 0.00750825i | \(0.997610\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −10.6516 | − | 8.53407i | −0.861127 | − | 0.689939i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.65651 | + | 19.2643i | 0.454342 | + | 1.54735i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.02015 | + | 17.5617i | −0.640077 | + | 1.40157i | 0.259899 | + | 0.965636i | \(0.416311\pi\) |
−0.899977 | + | 0.435938i | \(0.856417\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −10.8221 | + | 17.5747i | −0.858245 | + | 1.39377i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.11411 | + | 0.620757i | −0.166615 | + | 0.0489225i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −18.4910 | −1.44833 | −0.724165 | − | 0.689627i | \(-0.757775\pi\) | ||||
−0.724165 | + | 0.689627i | \(0.757775\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −15.6288 | − | 23.3189i | −1.21670 | − | 1.81537i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.74561 | − | 4.11209i | −0.367226 | − | 0.318203i | 0.451627 | − | 0.892207i | \(-0.350844\pi\) |
−0.818853 | + | 0.574004i | \(0.805389\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.04833 | − | 15.4337i | −0.542179 | − | 1.18721i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.92683 | − | 0.228435i | 0.453236 | − | 0.0174688i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −11.1237 | − | 17.3088i | −0.845718 | − | 1.31596i | −0.947042 | − | 0.321109i | \(-0.895944\pi\) |
0.101325 | − | 0.994853i | \(-0.467692\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.03768 | − | 0.580531i | 0.305220 | − | 0.0438840i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 2.46558 | + | 15.0805i | 0.185325 | + | 1.13352i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.19948 | − | 20.1440i | −0.687601 | − | 1.50564i | −0.854384 | − | 0.519643i | \(-0.826065\pi\) |
0.166782 | − | 0.985994i | \(-0.446662\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.297134 | − | 0.650633i | 0.0220858 | − | 0.0483612i | −0.898268 | − | 0.439449i | \(-0.855174\pi\) |
0.920353 | + | 0.391088i | \(0.127901\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.90617 | − | 23.4047i | 0.214830 | − | 1.73013i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 11.5738 | + | 3.39836i | 0.850919 | + | 0.249853i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −22.8409 | − | 3.28403i | −1.67029 | − | 0.240152i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3.54352 | − | 1.99801i | −0.257753 | − | 0.145334i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.89553 | + | 17.2888i | 0.571300 | + | 1.25097i | 0.946102 | + | 0.323868i | \(0.104984\pi\) |
−0.374802 | + | 0.927105i | \(0.622289\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.0158178 | − | 0.0101655i | 0.00113859 | − | 0.000731725i | −0.540071 | − | 0.841619i | \(-0.681603\pi\) |
0.541210 | + | 0.840887i | \(0.317966\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 28.9003 | − | 9.09407i | 2.06959 | − | 0.651240i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.71963 | + | 11.9603i | −0.122518 | + | 0.852135i | 0.832168 | + | 0.554523i | \(0.187099\pi\) |
−0.954687 | + | 0.297612i | \(0.903810\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.58649 | + | 6.44716i | 0.396016 | + | 0.457027i | 0.918382 | − | 0.395694i | \(-0.129496\pi\) |
−0.522366 | + | 0.852721i | \(0.674951\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.50311 | + | 12.0293i | −0.529228 | + | 0.848479i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.52223 | + | 2.91081i | 0.177026 | + | 0.204299i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.608287 | + | 4.23073i | −0.0424846 | + | 0.295487i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.68897 | − | 8.00357i | −0.186896 | − | 0.556287i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 8.43604 | − | 5.42151i | 0.583533 | − | 0.375014i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.888906 | + | 1.94643i | 0.0611948 | + | 0.133998i | 0.937759 | − | 0.347288i | \(-0.112897\pi\) |
−0.876564 | + | 0.481286i | \(0.840170\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 6.69432 | + | 4.12219i | 0.458687 | + | 0.282448i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 27.0631 | + | 3.89109i | 1.84569 | + | 0.265370i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.71986 | + | 1.38588i | 0.320405 | + | 0.0940794i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.60624 | − | 0.447788i | −0.243687 | − | 0.0302587i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 10.3460 | − | 22.6546i | 0.695947 | − | 1.52391i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.873755 | − | 1.91326i | −0.0585110 | − | 0.128121i | 0.878118 | − | 0.478444i | \(-0.158799\pi\) |
−0.936629 | + | 0.350323i | \(0.886072\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.81882 | + | 15.3751i | 0.187922 | + | 1.02501i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 12.1107 | − | 1.74126i | 0.803815 | − | 0.115571i | 0.271853 | − | 0.962339i | \(-0.412364\pi\) |
0.531963 | + | 0.846768i | \(0.321455\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.95346 | − | 4.59567i | −0.195170 | − | 0.303691i | 0.729851 | − | 0.683606i | \(-0.239589\pi\) |
−0.925021 | + | 0.379916i | \(0.875953\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.87649 | + | 0.132469i | −0.452440 | + | 0.00871583i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.4074 | + | 24.9786i | 0.747320 | + | 1.63640i | 0.771123 | + | 0.636687i | \(0.219696\pi\) |
−0.0238023 | + | 0.999717i | \(0.507577\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.23379 | + | 2.80209i | 0.210949 | + | 0.182788i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −7.98004 | + | 5.34840i | −0.518359 | + | 0.347416i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −19.7308 | −1.27628 | −0.638139 | − | 0.769921i | \(-0.720295\pi\) | ||||
−0.638139 | + | 0.769921i | \(0.720295\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 24.5144 | − | 7.19807i | 1.57911 | − | 0.463668i | 0.629473 | − | 0.777023i | \(-0.283271\pi\) |
0.949636 | + | 0.313354i | \(0.101453\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.12768 | − | 13.8635i | 0.457241 | − | 0.889343i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −8.47828 | + | 18.5648i | −0.541658 | + | 1.18606i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.04917 | + | 10.3845i | 0.194014 | + | 0.660752i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.57159 | − | 5.48593i | 0.289713 | − | 0.347656i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.52185 | − | 10.5847i | −0.0960585 | − | 0.668102i | −0.979778 | − | 0.200086i | \(-0.935878\pi\) |
0.883720 | − | 0.468016i | \(-0.155031\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.7883 | − | 9.34809i | −0.678253 | − | 0.587710i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 21.4409 | + | 13.2027i | 1.34268 | + | 0.826786i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1.85895 | + | 6.33100i | −0.115958 | + | 0.394917i | −0.996934 | − | 0.0782437i | \(-0.975069\pi\) |
0.880976 | + | 0.473161i | \(0.156887\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.23350 | − | 1.93534i | 0.138783 | − | 0.120256i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.7736 | + | 10.0876i | −0.666872 | + | 0.624404i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.30404 | − | 18.0639i | 0.327061 | − | 1.11387i | −0.617784 | − | 0.786348i | \(-0.711969\pi\) |
0.944845 | − | 0.327519i | \(-0.106213\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.8177 | − | 34.6359i | 0.971673 | − | 2.12767i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −27.3407 | + | 0.526693i | −1.67322 | + | 0.0322331i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 6.99643i | − | 0.426580i | −0.976989 | − | 0.213290i | \(-0.931582\pi\) | ||
0.976989 | − | 0.213290i | \(-0.0684179\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 19.7238 | + | 9.00755i | 1.19813 | + | 0.547170i | 0.911671 | − | 0.410921i | \(-0.134793\pi\) |
0.286464 | + | 0.958091i | \(0.407520\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.95374 | − | 7.16129i | 0.118246 | − | 0.433421i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 17.3067 | + | 19.9729i | 1.04363 | + | 1.20441i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.37514 | + | 2.74106i | 0.142708 | + | 0.164694i | 0.822604 | − | 0.568615i | \(-0.192520\pi\) |
−0.679896 | + | 0.733309i | \(0.737975\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −4.61012 | + | 18.2775i | −0.276001 | + | 1.09424i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.31710 | − | 2.13177i | −0.197882 | − | 0.127171i | 0.437948 | − | 0.899000i | \(-0.355705\pi\) |
−0.635829 | + | 0.771830i | \(0.719342\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.98123 | + | 9.21083i | −0.474435 | + | 0.547527i | −0.941640 | − | 0.336622i | \(-0.890716\pi\) |
0.467205 | + | 0.884149i | \(0.345261\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −10.7989 | + | 1.76557i | −0.639671 | + | 0.104583i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.791429 | + | 0.685777i | 0.0467166 | + | 0.0404802i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.54863 | − | 1.04197i | 0.208743 | − | 0.0612924i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.13003 | + | 4.91237i | −0.124865 | + | 0.287968i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.657398 | − | 1.02293i | 0.0384056 | − | 0.0597603i | −0.821520 | − | 0.570180i | \(-0.806874\pi\) |
0.859926 | + | 0.510420i | \(0.170510\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.94223 | − | 27.0487i | −0.462414 | − | 1.57484i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.52210 | − | 26.3114i | −0.0883213 | − | 1.52674i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 12.9609 | − | 8.32945i | 0.749547 | − | 0.481704i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.38678 | − | 5.06262i | 0.252850 | − | 0.291805i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 5.15301 | − | 2.47434i | 0.296033 | − | 0.142147i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 43.5099i | 2.49137i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.7095 | − | 8.16791i | 0.725370 | − | 0.466167i | −0.125131 | − | 0.992140i | \(-0.539935\pi\) |
0.850501 | + | 0.525973i | \(0.176299\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.37147 | − | 1.36870i | 0.476236 | − | 0.0778624i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.95696 | − | 13.6110i | −0.110969 | − | 0.771807i | −0.966981 | − | 0.254850i | \(-0.917974\pi\) |
0.856011 | − | 0.516957i | \(-0.172935\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −8.14747 | + | 3.72083i | −0.460522 | + | 0.210314i | −0.632146 | − | 0.774849i | \(-0.717826\pi\) |
0.171624 | + | 0.985163i | \(0.445099\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 6.94167 | + | 2.85240i | 0.391119 | + | 0.160714i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −19.4743 | − | 2.79998i | −1.09379 | − | 0.157263i | −0.428273 | − | 0.903649i | \(-0.640878\pi\) |
−0.665513 | + | 0.746387i | \(0.731787\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.03012 | + | 23.9424i | −0.393611 | + | 1.34052i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.31691 | − | 18.6591i | 0.129317 | − | 1.04145i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.86297 | + | 7.56692i | −0.270583 | + | 0.421035i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −25.9456 | + | 11.8489i | −1.43920 | + | 0.657261i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −9.90457 | + | 6.63827i | −0.547724 | + | 0.367097i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.00589 | − | 0.295357i | 0.0554567 | − | 0.0162835i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 25.6433 | + | 3.68695i | 1.40948 | + | 0.202653i | 0.804673 | − | 0.593718i | \(-0.202340\pi\) |
0.604809 | + | 0.796371i | \(0.293249\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 7.74030 | + | 8.26675i | 0.424166 | + | 0.453015i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 11.0020 | − | 23.7288i | 0.601105 | − | 1.29644i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.4752 | − | 9.94335i | 0.625096 | − | 0.541649i | −0.283687 | − | 0.958917i | \(-0.591558\pi\) |
0.908784 | + | 0.417268i | \(0.137012\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −24.6699 | − | 3.06327i | −1.33988 | − | 0.166374i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.97870 | + | 30.5786i | 0.486224 | + | 1.65593i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 5.66622 | + | 8.81682i | 0.305947 | + | 0.476063i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 6.74241 | + | 14.0416i | 0.362999 | + | 0.755975i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −27.2097 | − | 17.4866i | −1.46069 | − | 0.938731i | −0.998654 | − | 0.0518726i | \(-0.983481\pi\) |
−0.462041 | − | 0.886859i | \(-0.652883\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.47093 | − | 17.1857i | 0.132266 | − | 0.919931i | −0.810325 | − | 0.585981i | \(-0.800709\pi\) |
0.942591 | − | 0.333950i | \(-0.108382\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 27.7099 | + | 6.42423i | 1.47904 | + | 0.342900i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −3.94534 | + | 27.4404i | −0.209989 | + | 1.46051i | 0.563194 | + | 0.826325i | \(0.309572\pi\) |
−0.773183 | + | 0.634183i | \(0.781337\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −13.1930 | − | 6.02505i | −0.700213 | − | 0.319777i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 5.56129 | − | 2.67038i | 0.294335 | − | 0.141332i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.35152 | + | 0.194319i | −0.0713305 | + | 0.0102558i | −0.177888 | − | 0.984051i | \(-0.556926\pi\) |
0.106557 | + | 0.994307i | \(0.466017\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.14770 | + | 14.9376i | 0.113037 | + | 0.786187i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −14.2006 | − | 21.1879i | −0.745338 | − | 1.11208i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.70408 | 0.350908 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −28.9579 | + | 13.2246i | −1.51159 | + | 0.690320i | −0.986953 | − | 0.161007i | \(-0.948526\pi\) |
−0.524636 | + | 0.851327i | \(0.675798\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −2.50913 | + | 3.13170i | −0.130620 | + | 0.163030i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5.04366 | − | 7.84809i | −0.261854 | − | 0.407452i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.07461i | 0.418088i | 0.977906 | + | 0.209044i | \(0.0670351\pi\) | ||||
−0.977906 | + | 0.209044i | \(0.932965\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.349632 | − | 1.11111i | −0.0180549 | − | 0.0573773i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −22.6561 | − | 14.5602i | −1.16685 | − | 0.749889i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −23.4477 | − | 10.7082i | −1.20443 | − | 0.550044i | −0.290875 | − | 0.956761i | \(-0.593946\pi\) |
−0.913554 | + | 0.406717i | \(0.866674\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.17216 | + | 22.7926i | 0.367441 | + | 1.16770i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 11.4000 | − | 13.1564i | 0.582515 | − | 0.672259i | −0.385628 | − | 0.922654i | \(-0.626015\pi\) |
0.968144 | + | 0.250396i | \(0.0805607\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.5593 | − | 1.80576i | 0.640082 | − | 0.0920299i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 20.0329 | + | 16.0504i | 1.01833 | + | 0.815888i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.8584 | − | 18.4520i | 0.601245 | − | 0.935555i | −0.398586 | − | 0.917131i | \(-0.630499\pi\) |
0.999830 | − | 0.0184238i | \(-0.00586481\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.2856 | + | 3.60738i | 0.621310 | + | 0.182433i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.9794 | + | 21.0694i | 0.957387 | + | 1.06281i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 13.3940 | − | 11.6059i | 0.673923 | − | 0.583958i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.6056 | + | 6.34398i | 1.08436 | + | 0.318395i | 0.774620 | − | 0.632427i | \(-0.217941\pi\) |
0.309736 | + | 0.950823i | \(0.399759\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.06652 | + | 2.45964i | −0.0533926 | + | 0.123136i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −23.7844 | −1.18774 | −0.593868 | − | 0.804563i | \(-0.702400\pi\) | ||||
−0.593868 | + | 0.804563i | \(0.702400\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −34.3962 | −1.71339 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −9.89773 | + | 27.0015i | −0.491822 | + | 1.34172i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 18.3713 | + | 5.39430i | 0.910631 | + | 0.267385i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.0685 | + | 14.7899i | −0.843983 | + | 0.731316i | −0.965257 | − | 0.261303i | \(-0.915848\pi\) |
0.121273 | + | 0.992619i | \(0.461302\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −19.3846 | + | 17.4617i | −0.956171 | + | 0.861325i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −6.62709 | − | 1.94589i | −0.326098 | − | 0.0957510i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.12252 | + | 11.0829i | −0.349631 | + | 0.544036i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 6.46123 | − | 7.75350i | 0.316408 | − | 0.379691i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.62622 | − | 0.521372i | 0.177153 | − | 0.0254707i | −0.0531675 | − | 0.998586i | \(-0.516932\pi\) |
0.230320 | + | 0.973115i | \(0.426023\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.73664 | − | 6.62044i | 0.279587 | − | 0.322660i | −0.598536 | − | 0.801096i | \(-0.704251\pi\) |
0.878123 | + | 0.478436i | \(0.158796\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.27941 | + | 3.80810i | 0.0622072 | + | 0.185156i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −21.5631 | − | 9.84753i | −1.04596 | − | 0.477675i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.96791 | + | 5.76332i | 0.433987 | + | 0.278907i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 45.8741 | − | 14.4352i | 2.21482 | − | 0.696939i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 18.3086i | 0.881892i | 0.897534 | + | 0.440946i | \(0.145357\pi\) | ||||
−0.897534 | + | 0.440946i | \(0.854643\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −21.6063 | − | 33.6201i | −1.03833 | − | 1.61568i | −0.753909 | − | 0.656979i | \(-0.771834\pi\) |
−0.284424 | − | 0.958698i | \(-0.591802\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 17.4311 | − | 20.9174i | 0.835758 | − | 1.00291i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −5.06146 | + | 2.31149i | −0.242122 | + | 0.110574i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 31.7813 | 1.51684 | 0.758418 | − | 0.651768i | \(-0.225972\pi\) | ||||
0.758418 | + | 0.651768i | \(0.225972\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −15.7085 | + | 10.9725i | −0.748026 | + | 0.522500i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.346201 | − | 2.40788i | −0.0164485 | − | 0.114402i | 0.979943 | − | 0.199278i | \(-0.0638597\pi\) |
−0.996392 | + | 0.0848761i | \(0.972951\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 49.9354 | − | 7.17963i | 2.36717 | − | 0.340347i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 15.4875 | + | 32.2540i | 0.732535 | + | 1.52556i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −37.8266 | − | 17.2748i | −1.78515 | − | 0.815250i | −0.972646 | − | 0.232294i | \(-0.925377\pi\) |
−0.812504 | − | 0.582956i | \(-0.801896\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.965547 | + | 6.71553i | −0.0454658 | + | 0.316222i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.51116 | + | 5.53904i | −0.0710003 | + | 0.260247i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.94892 | + | 13.5550i | −0.0913665 | + | 0.635468i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.94117 | + | 4.46082i | 0.324694 | + | 0.208668i | 0.692825 | − | 0.721106i | \(-0.256366\pi\) |
−0.368131 | + | 0.929774i | \(0.620002\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 11.0460 | + | 20.9008i | 0.515583 | + | 0.975566i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −17.1945 | − | 26.7552i | −0.800828 | − | 1.24611i | −0.965665 | − | 0.259791i | \(-0.916346\pi\) |
0.164837 | − | 0.986321i | \(-0.447290\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.35839 | − | 4.62626i | −0.0631298 | − | 0.215000i | 0.921887 | − | 0.387459i | \(-0.126647\pi\) |
−0.985017 | + | 0.172458i | \(0.944829\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.28516 | − | 34.5104i | 0.198720 | − | 1.60038i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.76214 | − | 1.52691i | 0.0815423 | − | 0.0706568i | −0.613136 | − | 0.789977i | \(-0.710092\pi\) |
0.694678 | + | 0.719321i | \(0.255547\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.43346 | − | 5.41077i | −0.158542 | − | 0.249846i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 24.8455 | − | 22.3810i | 1.14482 | − | 1.03126i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 42.9579 | + | 6.17642i | 1.97521 | + | 0.283992i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.88421 | − | 2.90226i | 0.453518 | − | 0.133165i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 29.3070 | − | 20.4711i | 1.34187 | − | 0.937306i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −5.85237 | + | 2.67269i | −0.267402 | + | 0.122118i | −0.544604 | − | 0.838693i | \(-0.683320\pi\) |
0.277202 | + | 0.960812i | \(0.410593\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.1722 | + | 17.3843i | −0.509410 | + | 0.792657i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.78724 | + | 0.470263i | 0.172325 | + | 0.0213977i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.78292 | − | 9.47776i | 0.126366 | − | 0.430363i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.0502 | − | 2.02011i | −0.636675 | − | 0.0915400i | −0.183583 | − | 0.983004i | \(-0.558770\pi\) |
−0.453091 | + | 0.891464i | \(0.649679\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 29.3840 | + | 12.7411i | 1.32879 | + | 0.576172i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 16.6419 | − | 7.60010i | 0.751038 | − | 0.342988i | −0.00284517 | − | 0.999996i | \(-0.500906\pi\) |
0.753883 | + | 0.657008i | \(0.228178\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.18535 | − | 22.1546i | −0.143461 | − | 0.997792i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.76804 | + | 47.8248i | 0.394094 | + | 2.14956i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.98938 | + | 1.92116i | −0.134092 | + | 0.0861758i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 39.6955i | − | 1.77702i | −0.458862 | − | 0.888508i | \(-0.651743\pi\) | ||
0.458862 | − | 0.888508i | \(-0.348257\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.70782 | + | 9.80442i | 0.210330 | + | 0.438029i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −0.907942 | + | 1.04782i | −0.0404831 | + | 0.0467200i | −0.775630 | − | 0.631188i | \(-0.782568\pi\) |
0.735147 | + | 0.677908i | \(0.237113\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.87162 | + | 5.70144i | −0.394782 | + | 0.253711i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.566020 | + | 29.3822i | 0.0251378 | + | 1.30491i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 6.46433 | + | 22.0155i | 0.286526 | + | 0.975819i | 0.969442 | + | 0.245322i | \(0.0788936\pi\) |
−0.682915 | + | 0.730498i | \(0.739288\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.888023 | − | 1.38179i | 0.0392838 | − | 0.0611268i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −9.57570 | − | 3.72083i | −0.422777 | − | 0.164278i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −15.0153 | + | 4.40889i | −0.661653 | + | 0.194279i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.13307 | + | 4.44783i | 0.225752 | + | 0.195615i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.75012 | + | 35.1700i | 0.252402 | + | 1.54379i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 24.3956 | − | 28.1540i | 1.06879 | − | 1.23345i | 0.0975814 | − | 0.995228i | \(-0.468889\pi\) |
0.971210 | − | 0.238224i | \(-0.0765652\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −13.5444 | − | 8.70448i | −0.592257 | − | 0.380621i | 0.209909 | − | 0.977721i | \(-0.432683\pi\) |
−0.802167 | + | 0.597100i | \(0.796319\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −6.81627 | − | 1.85961i | −0.297486 | − | 0.0811600i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −18.7200 | − | 21.6041i | −0.815457 | − | 0.941087i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.87474 | − | 11.3961i | −0.429336 | − | 0.495481i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.47302 | − | 25.6632i | 0.280905 | − | 1.11369i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −6.66074 | − | 3.04186i | −0.288509 | − | 0.131757i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 34.6877i | 1.49968i | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.738769 | + | 38.3496i | 0.0318803 | + | 1.65491i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −13.4578 | + | 29.4684i | −0.579667 | + | 1.26929i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.89120 | + | 16.6579i | −0.210289 | + | 0.716179i | 0.785023 | + | 0.619466i | \(0.212651\pi\) |
−0.995312 | + | 0.0967127i | \(0.969167\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.920488 | + | 0.829181i | −0.0395019 | + | 0.0355835i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 16.6242 | − | 14.4049i | 0.712101 | − | 0.617039i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.47920 | − | 32.2832i | 0.405301 | − | 1.38033i | −0.463907 | − | 0.885884i | \(-0.653553\pi\) |
0.869209 | − | 0.494446i | \(-0.164629\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −20.7450 | + | 35.1899i | −0.885375 | + | 1.50187i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.35088 | + | 6.36957i | 0.313158 | + | 0.271353i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.617956 | − | 4.29798i | −0.0262781 | − | 0.182769i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −16.0502 | − | 13.3751i | −0.681292 | − | 0.567742i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 11.2361 | + | 38.2666i | 0.476088 | + | 1.62141i | 0.751256 | + | 0.660011i | \(0.229448\pi\) |
−0.275168 | + | 0.961396i | \(0.588733\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −19.4582 | + | 42.6075i | −0.822993 | + | 1.80210i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 34.0336 | + | 20.9570i | 1.43690 | + | 0.884804i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −28.2902 | + | 8.30676i | −1.19229 | + | 0.350088i | −0.816901 | − | 0.576778i | \(-0.804310\pi\) |
−0.375391 | + | 0.926867i | \(0.622491\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 45.8618 | 1.92942 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 4.25428 | + | 5.61666i | 0.178663 | + | 0.235878i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −4.57891 | − | 3.96765i | −0.191958 | − | 0.166332i | 0.553579 | − | 0.832796i | \(-0.313262\pi\) |
−0.745537 | + | 0.666464i | \(0.767807\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.09520 | − | 8.96724i | −0.171379 | − | 0.375267i | 0.804380 | − | 0.594115i | \(-0.202498\pi\) |
−0.975759 | + | 0.218848i | \(0.929770\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.634055 | − | 32.9139i | −0.0264880 | − | 1.37500i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −7.92814 | − | 12.3364i | −0.330626 | − | 0.514464i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.6365 | − | 2.53574i | 0.734217 | − | 0.105564i | 0.234943 | − | 0.972009i | \(-0.424510\pi\) |
0.499273 | + | 0.866445i | \(0.333600\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.0321403 | + | 0.00525479i | −0.00133571 | + | 0.000218382i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.34086 | + | 2.93607i | 0.0556282 | + | 0.121809i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 25.1078 | − | 54.9784i | 1.03986 | − | 2.27697i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −52.1915 | − | 5.46215i | −2.15785 | − | 0.225832i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 31.0273 | + | 9.11042i | 1.28063 | + | 0.376027i | 0.850135 | − | 0.526565i | \(-0.176520\pi\) |
0.430497 | + | 0.902592i | \(0.358338\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.2962 | + | 1.76792i | 0.506654 | + | 0.0728459i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 10.9738 | − | 17.8211i | 0.451401 | − | 0.733063i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −0.791302 | − | 1.73271i | −0.0324949 | − | 0.0711538i | 0.892689 | − | 0.450674i | \(-0.148816\pi\) |
−0.925183 | + | 0.379520i | \(0.876089\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.57452 | + | 6.15317i | −0.392517 | + | 0.252255i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.43511 | − | 14.0945i | −0.181517 | − | 0.576848i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.67155 | + | 11.6259i | −0.0682976 | + | 0.475021i | 0.926755 | + | 0.375667i | \(0.122586\pi\) |
−0.995052 | + | 0.0993532i | \(0.968323\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.88118 | + | 3.32506i | 0.117526 | + | 0.135632i | 0.811464 | − | 0.584403i | \(-0.198671\pi\) |
−0.693938 | + | 0.720035i | \(0.744126\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 20.2118 | − | 13.9457i | 0.823088 | − | 0.567913i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 30.8150 | + | 35.5624i | 1.25281 | + | 1.44582i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.10078 | + | 28.5216i | −0.166446 | + | 1.15766i | 0.719713 | + | 0.694272i | \(0.244274\pi\) |
−0.886158 | + | 0.463383i | \(0.846635\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.00240 | − | 6.36348i | −0.0811413 | − | 0.257861i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.16679 | + | 3.96316i | −0.249482 | + | 0.160332i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.51281 | − | 5.50228i | −0.101491 | − | 0.222235i | 0.852074 | − | 0.523421i | \(-0.175345\pi\) |
−0.953565 | + | 0.301186i | \(0.902617\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 3.88177 | − | 6.30389i | 0.156528 | − | 0.254197i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −14.1110 | − | 2.02885i | −0.568087 | − | 0.0816785i | −0.147714 | − | 0.989030i | \(-0.547192\pi\) |
−0.420373 | + | 0.907352i | \(0.638101\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −29.7888 | − | 8.74678i | −1.19731 | − | 0.351563i | −0.378488 | − | 0.925606i | \(-0.623556\pi\) |
−0.818825 | + | 0.574044i | \(0.805374\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.24176 | + | 14.5712i | −0.0498302 | + | 0.584724i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 5.13464 | − | 11.2433i | 0.205715 | − | 0.450453i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.92983 | − | 21.7433i | −0.397193 | − | 0.869732i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −17.1413 | + | 2.80252i | −0.684558 | + | 0.111922i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −16.9995 | + | 2.44416i | −0.677813 | + | 0.0974549i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.97701 | + | 12.4125i | 0.317560 | + | 0.494132i | 0.962935 | − | 0.269733i | \(-0.0869354\pi\) |
−0.645375 | + | 0.763865i | \(0.723299\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.0713841 | − | 3.70556i | −0.00283726 | − | 0.147283i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −18.3122 | − | 40.0981i | −0.726697 | − | 1.59125i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −26.4242 | − | 22.8967i | −1.04697 | − | 0.907201i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −7.79756 | − | 11.1632i | −0.308467 | − | 0.441610i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −22.0231 | −0.869862 | −0.434931 | − | 0.900464i | \(-0.643227\pi\) | ||||
−0.434931 | + | 0.900464i | \(0.643227\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.988101 | + | 0.290133i | −0.0389669 | + | 0.0114417i | −0.301158 | − | 0.953574i | \(-0.597373\pi\) |
0.262191 | + | 0.965016i | \(0.415555\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −40.3248 | − | 24.8309i | −1.58779 | − | 0.977717i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 18.3102 | − | 40.0937i | 0.719847 | − | 1.57625i | −0.0942711 | − | 0.995547i | \(-0.530052\pi\) |
0.814118 | − | 0.580699i | \(-0.197221\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.6069 | − | 42.9351i | −0.494863 | − | 1.68535i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −6.54538 | − | 5.45447i | −0.256534 | − | 0.213777i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −3.35191 | − | 23.3131i | −0.131171 | − | 0.912311i | −0.944032 | − | 0.329854i | \(-0.893000\pi\) |
0.812861 | − | 0.582457i | \(-0.197909\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −39.5372 | − | 34.2592i | −1.54485 | − | 1.33862i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 5.42211 | + | 3.19642i | 0.211537 | + | 0.124704i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.20150 | − | 7.49761i | 0.0857582 | − | 0.292066i | −0.905436 | − | 0.424483i | \(-0.860456\pi\) |
0.991194 | + | 0.132418i | \(0.0422740\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −37.9559 | + | 32.8889i | −1.47631 | + | 1.27923i | −0.597678 | + | 0.801736i | \(0.703910\pi\) |
−0.878634 | + | 0.477496i | \(0.841545\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −32.0507 | + | 28.8714i | −1.24475 | + | 1.12127i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1.39342 | − | 4.74555i | 0.0540345 | − | 0.184025i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.75183 | − | 12.5948i | 0.222712 | − | 0.487671i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.0701674 | + | 3.64240i | 0.00271283 | + | 0.140823i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 69.0642i | 2.66620i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 44.5977 | + | 20.3671i | 1.71911 | + | 0.785093i | 0.995487 | + | 0.0949009i | \(0.0302534\pi\) |
0.723626 | + | 0.690192i | \(0.242474\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 6.11471 | − | 26.3748i | 0.235355 | − | 1.01517i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −11.8582 | − | 13.6851i | −0.455746 | − | 0.525959i | 0.480646 | − | 0.876915i | \(-0.340402\pi\) |
−0.936392 | + | 0.350955i | \(0.885857\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.58485 | − | 1.82902i | −0.0608210 | − | 0.0701912i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −20.4448 | − | 5.57775i | −0.783448 | − | 0.213740i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 3.07753 | + | 1.97781i | 0.117759 | + | 0.0756788i | 0.598194 | − | 0.801351i | \(-0.295885\pi\) |
−0.480436 | + | 0.877030i | \(0.659521\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 31.5196 | − | 36.3756i | 1.20430 | − | 1.38984i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.52672 | + | 9.33801i | 0.0582480 | + | 0.356267i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 49.2989 | + | 42.7178i | 1.87814 | + | 1.62742i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.9206 | + | 6.73010i | −0.871942 | + | 0.256025i | −0.686941 | − | 0.726713i | \(-0.741047\pi\) |
−0.185001 | + | 0.982738i | \(0.559229\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 11.0187 | + | 4.52768i | 0.418565 | + | 0.171992i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −10.0666 | + | 15.6639i | −0.381847 | + | 0.594166i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.71451 | − | 5.83910i | −0.0649419 | − | 0.221172i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.916074 | − | 47.5535i | −0.0346491 | − | 1.79864i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 7.15827 | − | 4.60034i | 0.270364 | − | 0.173752i | −0.398433 | − | 0.917197i | \(-0.630446\pi\) |
0.668797 | + | 0.743445i | \(0.266810\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.88745 | − | 5.64042i | 0.184334 | − | 0.212732i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.20804 | − | 6.68101i | −0.120822 | − | 0.251621i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 2.58376i | 0.0971722i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.78525 | − | 2.43263i | 0.142158 | − | 0.0913595i | −0.467629 | − | 0.883925i | \(-0.654891\pi\) |
0.609787 | + | 0.792566i | \(0.291255\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 16.3663 | − | 3.00055i | 0.613785 | − | 0.112529i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.51666 | − | 17.5038i | −0.0942497 | − | 0.655521i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −80.7045 | + | 36.8565i | −3.01818 | + | 1.37835i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 31.3541 | + | 13.5953i | 1.17094 | + | 0.507726i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 43.8824 | + | 6.30933i | 1.63654 | + | 0.235298i | 0.898344 | − | 0.439292i | \(-0.144771\pi\) |
0.738192 | + | 0.674591i | \(0.235680\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.08020 | + | 3.67883i | −0.0402288 | + | 0.137007i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −43.9154 | − | 5.45299i | −1.63323 | − | 0.202799i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −13.8587 | + | 21.5646i | −0.514700 | + | 0.800888i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.1784 | − | 4.64832i | 0.377496 | − | 0.172397i | −0.217626 | − | 0.976032i | \(-0.569831\pi\) |
0.595122 | + | 0.803636i | \(0.297104\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −20.8791 | + | 17.1191i | −0.773299 | + | 0.634042i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −37.3516 | + | 10.9674i | −1.38150 | + | 0.405645i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.719942 | + | 0.103512i | 0.0265917 | + | 0.00382330i | 0.155598 | − | 0.987820i | \(-0.450270\pi\) |
−0.129006 | + | 0.991644i | \(0.541179\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 26.2647 | − | 23.6594i | 0.968789 | − | 0.872691i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 17.4638 | − | 37.6653i | 0.643286 | − | 1.38742i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.91386 | + | 3.39138i | −0.143974 | + | 0.124754i | −0.723870 | − | 0.689936i | \(-0.757639\pi\) |
0.579896 | + | 0.814690i | \(0.303093\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.30994 | − | 18.6030i | 0.0848578 | − | 0.683399i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 9.27006 | + | 31.5709i | 0.340085 | + | 1.15822i | 0.935063 | + | 0.354482i | \(0.115343\pi\) |
−0.594977 | + | 0.803742i | \(0.702839\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −35.6868 | − | 55.5297i | −1.30746 | − | 2.03445i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −11.0447 | + | 5.56764i | −0.404105 | + | 0.203709i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 7.14955 | + | 4.59474i | 0.261239 | + | 0.167888i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.72629 | + | 32.8721i | −0.172465 | + | 1.19952i | 0.701190 | + | 0.712974i | \(0.252652\pi\) |
−0.873655 | + | 0.486546i | \(0.838257\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −4.87494 | + | 17.8687i | −0.177653 | + | 0.651173i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.50742 | − | 10.4844i | 0.0548608 | − | 0.381565i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 36.8168 | + | 16.8137i | 1.33813 | + | 0.611103i | 0.950504 | − | 0.310713i | \(-0.100568\pi\) |
0.387626 | + | 0.921817i | \(0.373295\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 10.7024 | + | 22.2886i | 0.388471 | + | 0.809024i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 38.6217 | − | 5.55295i | 1.40003 | − | 0.201294i | 0.599401 | − | 0.800449i | \(-0.295406\pi\) |
0.800633 | + | 0.599155i | \(0.204497\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.766987 | − | 5.33451i | −0.0277668 | − | 0.193122i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −24.9743 | − | 35.7540i | −0.902949 | − | 1.29269i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 48.2952 | 1.74384 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.79533 | − | 2.18995i | 0.172924 | − | 0.0789717i | −0.327072 | − | 0.944999i | \(-0.606062\pi\) |
0.499996 | + | 0.866028i | \(0.333335\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 7.31636 | − | 8.77966i | 0.263492 | − | 0.316192i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −9.21678 | − | 14.3416i | −0.331505 | − | 0.515831i | 0.634989 | − | 0.772521i | \(-0.281005\pi\) |
−0.966494 | + | 0.256690i | \(0.917368\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 32.7390i | 1.17602i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.88278 | + | 1.53647i | −0.175169 | + | 0.0551204i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 2.22477 | + | 1.42978i | 0.0797108 | + | 0.0512270i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −20.9416 | − | 9.56370i | −0.749349 | − | 0.342216i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 24.0711 | − | 8.60660i | 0.860230 | − | 0.307575i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −40.3991 | + | 46.6231i | −1.44191 | + | 1.66405i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −52.9999 | + | 7.62023i | −1.88924 | + | 0.271632i | −0.987136 | − | 0.159884i | \(-0.948888\pi\) |
−0.902106 | + | 0.431516i | \(0.857979\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −20.8754 | + | 25.0505i | −0.743183 | + | 0.891823i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 6.07486 | − | 9.45267i | 0.215997 | − | 0.336098i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −71.5202 | − | 21.0002i | −2.53976 | − | 0.745739i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −49.0014 | + | 44.1407i | −1.73790 | + | 1.56551i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −6.18085 | + | 5.35574i | −0.218937 | + | 0.189710i | −0.757423 | − | 0.652924i | \(-0.773542\pi\) |
0.538486 | + | 0.842634i | \(0.318996\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.84550 | − | 1.71639i | −0.206799 | − | 0.0607216i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 43.8099 | + | 18.0019i | 1.54795 | + | 0.636065i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 10.6415 | 0.375532 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −7.04057 | −0.248147 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −4.82083 | + | 11.1180i | −0.169701 | + | 0.391372i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 13.7255 | + | 4.03018i | 0.482564 | + | 0.141693i | 0.513961 | − | 0.857814i | \(-0.328178\pi\) |
−0.0313975 | + | 0.999507i | \(0.509996\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −30.0175 | + | 26.0103i | −1.05406 | + | 0.913345i | −0.996382 | − | 0.0849906i | \(-0.972914\pi\) |
−0.0576744 | + | 0.998335i | \(0.518369\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −25.1364 | − | 27.9043i | −0.881572 | − | 0.978648i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −56.6925 | − | 16.6464i | −1.98585 | − | 0.583099i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 9.14600 | − | 14.2315i | 0.319978 | − | 0.497896i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −8.03910 | + | 10.0338i | −0.280909 | + | 0.350608i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 34.5249 | − | 4.96393i | 1.20493 | − | 0.173242i | 0.489547 | − | 0.871977i | \(-0.337162\pi\) |
0.715381 | + | 0.698735i | \(0.246253\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.85918 | + | 4.45373i | −0.134522 | + | 0.155247i | −0.819014 | − | 0.573774i | \(-0.805479\pi\) |
0.684491 | + | 0.729021i | \(0.260024\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −13.7397 | − | 43.6639i | −0.478356 | − | 1.52018i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 33.6965 | + | 15.3887i | 1.17174 | + | 0.535117i | 0.903648 | − | 0.428276i | \(-0.140879\pi\) |
0.268095 | + | 0.963393i | \(0.413606\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 26.0769 | + | 16.7586i | 0.905687 | + | 0.582050i | 0.908472 | − | 0.417946i | \(-0.137250\pi\) |
−0.00278462 | + | 0.999996i | \(0.500886\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.88562 | − | 5.99237i | −0.0654115 | − | 0.207873i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 29.0584i | − | 1.00681i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.8479 | − | 16.8796i | −0.375407 | − | 0.584144i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 19.9199 | − | 25.8681i | 0.688531 | − | 0.894133i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −12.4517 | + | 5.68652i | −0.429882 | + | 0.196320i | −0.618592 | − | 0.785712i | \(-0.712297\pi\) |
0.188710 | + | 0.982033i | \(0.439569\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 4.79665 | 0.165402 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 3.80231 | + | 5.67321i | 0.130959 | + | 0.195396i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −7.71572 | − | 53.6640i | −0.265429 | − | 1.84610i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.4116 | − | 1.64074i | 0.392107 | − | 0.0563765i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 19.0296 | − | 9.13749i | 0.653093 | − | 0.313598i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −9.66411 | − | 4.41345i | −0.331281 | − | 0.151291i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.30316 | − | 29.9291i | 0.147337 | − | 1.02475i | −0.773218 | − | 0.634140i | \(-0.781354\pi\) |
0.920555 | − | 0.390613i | \(-0.127737\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 18.3770 | + | 4.63522i | 0.628480 | + | 0.158521i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −1.43579 | + | 9.98613i | −0.0490456 | + | 0.341120i | 0.950493 | + | 0.310746i | \(0.100579\pi\) |
−0.999539 | + | 0.0303737i | \(0.990330\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.4650 | − | 16.3654i | −0.868855 | − | 0.558379i | 0.0285476 | − | 0.999592i | \(-0.490912\pi\) |
−0.897402 | + | 0.441213i | \(0.854548\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.785127 | − | 1.63509i | −0.0267571 | − | 0.0557238i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 5.05620 | + | 7.86760i | 0.172115 | + | 0.267816i | 0.916585 | − | 0.399840i | \(-0.130934\pi\) |
−0.744470 | + | 0.667656i | \(0.767298\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −18.5225 | − | 63.0818i | −0.629784 | − | 2.14485i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.35706 | − | 0.789358i | −0.215897 | − | 0.0268080i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 21.2605 | − | 18.4224i | 0.721214 | − | 0.624936i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 33.6945 | + | 29.5376i | 1.14169 | + | 1.00084i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 6.76965 | − | 6.33854i | 0.229118 | − | 0.214527i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.521138 | + | 0.0749284i | 0.0176177 | + | 0.00253304i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 41.1969 | − | 12.0965i | 1.39112 | − | 0.408469i | 0.501494 | − | 0.865161i | \(-0.332784\pi\) |
0.889625 | + | 0.456691i | \(0.150966\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −1.74951 | + | 1.17256i | −0.0590095 | + | 0.0395495i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.51440 | − | 4.34508i | 0.320548 | − | 0.146389i | −0.248642 | − | 0.968596i | \(-0.579984\pi\) |
0.569190 | + | 0.822206i | \(0.307257\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 25.8555 | − | 40.2319i | 0.870106 | − | 1.35391i | −0.0643854 | − | 0.997925i | \(-0.520509\pi\) |
0.934491 | − | 0.355986i | \(-0.115855\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −6.01674 | + | 48.4555i | −0.202250 | + | 1.62882i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −15.8490 | + | 53.9766i | −0.532156 | + | 1.81236i | 0.0493046 | + | 0.998784i | \(0.484299\pi\) |
−0.581461 | + | 0.813574i | \(0.697519\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −10.6903 | − | 1.53704i | −0.358542 | − | 0.0515506i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −15.7109 | + | 42.8601i | −0.526334 | + | 1.43587i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.40824 | − | 1.09981i | 0.0805888 | − | 0.0368037i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.0706 | − | 70.0423i | −0.336622 | − | 2.34126i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −26.3354 | + | 4.30571i | −0.879313 | + | 0.143763i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −26.0048 | + | 16.7123i | −0.867308 | + | 0.557385i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 54.2134i | 1.80611i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −10.4594 | + | 5.02231i | −0.348066 | + | 0.167132i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1.49673 | − | 1.72731i | 0.0497529 | − | 0.0574179i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.8640 | − | 6.98187i | 0.360733 | − | 0.231829i | −0.347702 | − | 0.937605i | \(-0.613038\pi\) |
0.708435 | + | 0.705776i | \(0.249401\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −9.89355 | + | 0.381321i | −0.328148 | + | 0.0126476i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.1851 | − | 38.0930i | −0.370580 | − | 1.26208i | −0.908074 | − | 0.418810i | \(-0.862447\pi\) |
0.537494 | − | 0.843267i | \(-0.319371\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −11.3057 | + | 17.5921i | −0.374166 | + | 0.582213i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 29.9801 | − | 69.1414i | 0.991112 | − | 2.28574i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12.2983 | + | 3.61111i | −0.406126 | + | 0.119249i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.39100 | + | 2.93832i | 0.111859 | + | 0.0969263i | 0.708994 | − | 0.705214i | \(-0.249149\pi\) |
−0.597136 | + | 0.802140i | \(0.703695\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −25.8247 | + | 4.22221i | −0.850951 | + | 0.139126i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 16.2714 | − | 18.7783i | 0.535581 | − | 0.618094i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 16.5468 | + | 10.6340i | 0.544054 | + | 0.349642i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −14.2461 | − | 3.59330i | −0.467905 | − | 0.118019i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −4.69962 | − | 5.42365i | −0.154190 | − | 0.177944i | 0.673399 | − | 0.739279i | \(-0.264834\pi\) |
−0.827589 | + | 0.561335i | \(0.810288\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.26943 | + | 9.54343i | 0.271020 | + | 0.312773i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −6.26871 | + | 22.9775i | −0.205229 | + | 0.752251i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −67.0726 | − | 30.6310i | −2.19351 | − | 1.00174i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 43.5815i | 1.42374i | 0.702309 | + | 0.711872i | \(0.252153\pi\) | ||||
−0.702309 | + | 0.711872i | \(0.747847\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.5109 | − | 0.298803i | 0.506179 | − | 0.00975107i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −18.3337 | + | 40.1452i | −0.597662 | + | 1.30870i | 0.333038 | + | 0.942913i | \(0.391926\pi\) |
−0.930700 | + | 0.365783i | \(0.880801\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.06062 | − | 3.61213i | 0.0345384 | − | 0.117627i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −9.06555 | − | 9.31583i | −0.294902 | − | 0.303044i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −25.1500 | + | 21.7926i | −0.817265 | + | 0.708164i | −0.959512 | − | 0.281667i | \(-0.909113\pi\) |
0.142247 | + | 0.989831i | \(0.454567\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.23575 | + | 11.0199i | −0.105037 | + | 0.357723i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 29.0172 | + | 17.8680i | 0.940947 | + | 0.579410i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1.80134 | − | 1.56087i | −0.0583511 | − | 0.0505615i | 0.625197 | − | 0.780467i | \(-0.285019\pi\) |
−0.683548 | + | 0.729905i | \(0.739564\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.64315 | + | 60.1144i | 0.279686 | + | 1.94526i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 27.6688 | − | 33.2027i | 0.894406 | − | 1.07329i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.32235 | − | 11.3149i | −0.107284 | − | 0.365376i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.52272 | + | 7.71368i | −0.113636 | + | 0.248828i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −16.5387 | + | 28.0547i | −0.532952 | + | 0.904049i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.0576478 | − | 0.0169269i | 0.00185575 | − | 0.000544897i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.8692 | −0.864054 | −0.432027 | − | 0.901861i | \(-0.642201\pi\) | ||||
−0.432027 | + | 0.901861i | \(0.642201\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 12.9416 | − | 8.67378i | 0.415745 | − | 0.278642i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −0.810892 | − | 0.702642i | −0.0260228 | − | 0.0225489i | 0.641752 | − | 0.766912i | \(-0.278208\pi\) |
−0.667775 | + | 0.744363i | \(0.732753\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.89510 | + | 4.14968i | 0.0607540 | + | 0.133033i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 49.3944 | − | 0.951537i | 1.58189 | − | 0.0304736i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 8.18397 | + | 12.7345i | 0.261828 | + | 0.407413i | 0.947132 | − | 0.320845i | \(-0.103967\pi\) |
−0.685303 | + | 0.728258i | \(0.740330\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 79.2637 | − | 11.3964i | 2.53328 | − | 0.364230i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 20.3133 | − | 3.72418i | 0.648555 | − | 0.118904i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −18.0171 | − | 39.4519i | −0.574656 | − | 1.25832i | −0.944281 | − | 0.329140i | \(-0.893241\pi\) |
0.369625 | − | 0.929181i | \(-0.379486\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −16.0394 | + | 35.1215i | −0.511059 | + | 1.11906i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.80197 | − | 0.223751i | −0.0573574 | − | 0.00712208i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −23.1061 | − | 6.78456i | −0.734731 | − | 0.215737i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 26.2272 | + | 3.77091i | 0.833136 | + | 0.119787i | 0.545666 | − | 0.838003i | \(-0.316277\pi\) |
0.287470 | + | 0.957790i | \(0.407186\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −38.2092 | − | 23.5282i | −1.21253 | − | 0.746644i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 11.3239 | + | 24.7958i | 0.358991 | + | 0.786081i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 8.95887 | − | 5.75751i | 0.283730 | − | 0.182342i | −0.391033 | − | 0.920377i | \(-0.627882\pi\) |
0.674763 | + | 0.738034i | \(0.264246\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −6.60395 | − | 18.4700i | −0.208940 | − | 0.584366i |
(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 | 804.2.s.b.161.2 | yes | 200 | |
3.2 | odd | 2 | inner | 804.2.s.b.161.4 | yes | 200 | |
67.5 | odd | 22 | inner | 804.2.s.b.5.4 | yes | 200 | |
201.5 | even | 22 | inner | 804.2.s.b.5.2 | ✓ | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.s.b.5.2 | ✓ | 200 | 201.5 | even | 22 | inner | |
804.2.s.b.5.4 | yes | 200 | 67.5 | odd | 22 | inner | |
804.2.s.b.161.2 | yes | 200 | 1.1 | even | 1 | trivial | |
804.2.s.b.161.4 | yes | 200 | 3.2 | odd | 2 | inner |