Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(461,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.461");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.f (of order \(2\), degree \(1\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 461.14 | ||
Character | \(\chi\) | \(=\) | 966.461 |
Dual form | 966.2.f.b.461.2 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | −1.66919 | + | 0.462387i | −0.963708 | + | 0.266959i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −1.95027 | −0.872188 | −0.436094 | − | 0.899901i | \(-0.643639\pi\) | ||||
−0.436094 | + | 0.899901i | \(0.643639\pi\) | |||||||
\(6\) | −0.462387 | − | 1.66919i | −0.188769 | − | 0.681444i | ||||
\(7\) | −0.602835 | − | 2.57616i | −0.227850 | − | 0.973696i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 2.57240 | − | 1.54363i | 0.857465 | − | 0.514542i | ||||
\(10\) | − | 1.95027i | − | 0.616730i | ||||||
\(11\) | 4.18593i | 1.26210i | 0.775740 | + | 0.631052i | \(0.217377\pi\) | ||||
−0.775740 | + | 0.631052i | \(0.782623\pi\) | |||||||
\(12\) | 1.66919 | − | 0.462387i | 0.481854 | − | 0.133480i | ||||
\(13\) | − | 7.00187i | − | 1.94197i | −0.239144 | − | 0.970984i | \(-0.576867\pi\) | ||
0.239144 | − | 0.970984i | \(-0.423133\pi\) | |||||||
\(14\) | 2.57616 | − | 0.602835i | 0.688507 | − | 0.161114i | ||||
\(15\) | 3.25538 | − | 0.901781i | 0.840535 | − | 0.232839i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.56933 | 0.865690 | 0.432845 | − | 0.901468i | \(-0.357510\pi\) | ||||
0.432845 | + | 0.901468i | \(0.357510\pi\) | |||||||
\(18\) | 1.54363 | + | 2.57240i | 0.363836 | + | 0.606320i | ||||
\(19\) | 8.08958i | 1.85588i | 0.372732 | + | 0.927939i | \(0.378421\pi\) | ||||
−0.372732 | + | 0.927939i | \(0.621579\pi\) | |||||||
\(20\) | 1.95027 | 0.436094 | ||||||||
\(21\) | 2.19743 | + | 4.02136i | 0.479518 | + | 0.877532i | ||||
\(22\) | −4.18593 | −0.892443 | ||||||||
\(23\) | − | 1.00000i | − | 0.208514i | ||||||
\(24\) | 0.462387 | + | 1.66919i | 0.0943844 | + | 0.340722i | ||||
\(25\) | −1.19644 | −0.239287 | ||||||||
\(26\) | 7.00187 | 1.37318 | ||||||||
\(27\) | −3.58007 | + | 3.76605i | −0.688984 | + | 0.724776i | ||||
\(28\) | 0.602835 | + | 2.57616i | 0.113925 | + | 0.486848i | ||||
\(29\) | 2.33625i | 0.433831i | 0.976190 | + | 0.216916i | \(0.0695996\pi\) | ||||
−0.976190 | + | 0.216916i | \(0.930400\pi\) | |||||||
\(30\) | 0.901781 | + | 3.25538i | 0.164642 | + | 0.594348i | ||||
\(31\) | 0.237061i | 0.0425774i | 0.999773 | + | 0.0212887i | \(0.00677692\pi\) | ||||
−0.999773 | + | 0.0212887i | \(0.993223\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −1.93552 | − | 6.98711i | −0.336931 | − | 1.21630i | ||||
\(34\) | 3.56933i | 0.612135i | ||||||||
\(35\) | 1.17569 | + | 5.02421i | 0.198728 | + | 0.849246i | ||||
\(36\) | −2.57240 | + | 1.54363i | −0.428733 | + | 0.257271i | ||||
\(37\) | −0.324825 | −0.0534009 | −0.0267005 | − | 0.999643i | \(-0.508500\pi\) | ||||
−0.0267005 | + | 0.999643i | \(0.508500\pi\) | |||||||
\(38\) | −8.08958 | −1.31230 | ||||||||
\(39\) | 3.23757 | + | 11.6874i | 0.518427 | + | 1.87149i | ||||
\(40\) | 1.95027i | 0.308365i | ||||||||
\(41\) | −8.81948 | −1.37737 | −0.688686 | − | 0.725060i | \(-0.741812\pi\) | ||||
−0.688686 | + | 0.725060i | \(0.741812\pi\) | |||||||
\(42\) | −4.02136 | + | 2.19743i | −0.620509 | + | 0.339071i | ||||
\(43\) | 8.54266 | 1.30274 | 0.651372 | − | 0.758759i | \(-0.274194\pi\) | ||||
0.651372 | + | 0.758759i | \(0.274194\pi\) | |||||||
\(44\) | − | 4.18593i | − | 0.631052i | ||||||
\(45\) | −5.01687 | + | 3.01049i | −0.747871 | + | 0.448777i | ||||
\(46\) | 1.00000 | 0.147442 | ||||||||
\(47\) | 0.174840 | 0.0255030 | 0.0127515 | − | 0.999919i | \(-0.495941\pi\) | ||||
0.0127515 | + | 0.999919i | \(0.495941\pi\) | |||||||
\(48\) | −1.66919 | + | 0.462387i | −0.240927 | + | 0.0667399i | ||||
\(49\) | −6.27318 | + | 3.10600i | −0.896169 | + | 0.443714i | ||||
\(50\) | − | 1.19644i | − | 0.169202i | ||||||
\(51\) | −5.95790 | + | 1.65041i | −0.834272 | + | 0.231104i | ||||
\(52\) | 7.00187i | 0.970984i | ||||||||
\(53\) | 5.65184i | 0.776340i | 0.921588 | + | 0.388170i | \(0.126893\pi\) | ||||
−0.921588 | + | 0.388170i | \(0.873107\pi\) | |||||||
\(54\) | −3.76605 | − | 3.58007i | −0.512494 | − | 0.487185i | ||||
\(55\) | − | 8.16370i | − | 1.10079i | ||||||
\(56\) | −2.57616 | + | 0.602835i | −0.344254 | + | 0.0805572i | ||||
\(57\) | −3.74052 | − | 13.5031i | −0.495444 | − | 1.78852i | ||||
\(58\) | −2.33625 | −0.306765 | ||||||||
\(59\) | 7.74076 | 1.00776 | 0.503881 | − | 0.863773i | \(-0.331905\pi\) | ||||
0.503881 | + | 0.863773i | \(0.331905\pi\) | |||||||
\(60\) | −3.25538 | + | 0.901781i | −0.420267 | + | 0.116419i | ||||
\(61\) | 9.18309i | 1.17577i | 0.808943 | + | 0.587887i | \(0.200040\pi\) | ||||
−0.808943 | + | 0.587887i | \(0.799960\pi\) | |||||||
\(62\) | −0.237061 | −0.0301068 | ||||||||
\(63\) | −5.52735 | − | 5.69635i | −0.696381 | − | 0.717672i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 13.6555i | 1.69376i | ||||||||
\(66\) | 6.98711 | − | 1.93552i | 0.860054 | − | 0.238246i | ||||
\(67\) | 7.68745 | 0.939171 | 0.469586 | − | 0.882887i | \(-0.344403\pi\) | ||||
0.469586 | + | 0.882887i | \(0.344403\pi\) | |||||||
\(68\) | −3.56933 | −0.432845 | ||||||||
\(69\) | 0.462387 | + | 1.66919i | 0.0556649 | + | 0.200947i | ||||
\(70\) | −5.02421 | + | 1.17569i | −0.600508 | + | 0.140522i | ||||
\(71\) | 5.42350i | 0.643651i | 0.946799 | + | 0.321826i | \(0.104297\pi\) | ||||
−0.946799 | + | 0.321826i | \(0.895703\pi\) | |||||||
\(72\) | −1.54363 | − | 2.57240i | −0.181918 | − | 0.303160i | ||||
\(73\) | 11.1709i | 1.30745i | 0.756732 | + | 0.653726i | \(0.226795\pi\) | ||||
−0.756732 | + | 0.653726i | \(0.773205\pi\) | |||||||
\(74\) | − | 0.324825i | − | 0.0377602i | ||||||
\(75\) | 1.99708 | − | 0.553217i | 0.230603 | − | 0.0638801i | ||||
\(76\) | − | 8.08958i | − | 0.927939i | ||||||
\(77\) | 10.7836 | − | 2.52342i | 1.22891 | − | 0.287571i | ||||
\(78\) | −11.6874 | + | 3.23757i | −1.32334 | + | 0.366583i | ||||
\(79\) | 12.2350 | 1.37654 | 0.688271 | − | 0.725454i | \(-0.258370\pi\) | ||||
0.688271 | + | 0.725454i | \(0.258370\pi\) | |||||||
\(80\) | −1.95027 | −0.218047 | ||||||||
\(81\) | 4.23444 | − | 7.94163i | 0.470493 | − | 0.882404i | ||||
\(82\) | − | 8.81948i | − | 0.973949i | ||||||
\(83\) | −17.9170 | −1.96664 | −0.983321 | − | 0.181880i | \(-0.941782\pi\) | ||||
−0.983321 | + | 0.181880i | \(0.941782\pi\) | |||||||
\(84\) | −2.19743 | − | 4.02136i | −0.239759 | − | 0.438766i | ||||
\(85\) | −6.96117 | −0.755045 | ||||||||
\(86\) | 8.54266i | 0.921178i | ||||||||
\(87\) | −1.08025 | − | 3.89965i | −0.115815 | − | 0.418086i | ||||
\(88\) | 4.18593 | 0.446221 | ||||||||
\(89\) | 1.21795 | 0.129102 | 0.0645510 | − | 0.997914i | \(-0.479438\pi\) | ||||
0.0645510 | + | 0.997914i | \(0.479438\pi\) | |||||||
\(90\) | −3.01049 | − | 5.01687i | −0.317334 | − | 0.528825i | ||||
\(91\) | −18.0379 | + | 4.22097i | −1.89089 | + | 0.442478i | ||||
\(92\) | 1.00000i | 0.104257i | ||||||||
\(93\) | −0.109614 | − | 0.395700i | −0.0113665 | − | 0.0410322i | ||||
\(94\) | 0.174840i | 0.0180334i | ||||||||
\(95\) | − | 15.7769i | − | 1.61868i | ||||||
\(96\) | −0.462387 | − | 1.66919i | −0.0471922 | − | 0.170361i | ||||
\(97\) | 16.7148i | 1.69713i | 0.529088 | + | 0.848567i | \(0.322534\pi\) | ||||
−0.529088 | + | 0.848567i | \(0.677466\pi\) | |||||||
\(98\) | −3.10600 | − | 6.27318i | −0.313753 | − | 0.633687i | ||||
\(99\) | 6.46151 | + | 10.7679i | 0.649406 | + | 1.08221i | ||||
\(100\) | 1.19644 | 0.119644 | ||||||||
\(101\) | 10.8858 | 1.08318 | 0.541591 | − | 0.840642i | \(-0.317822\pi\) | ||||
0.541591 | + | 0.840642i | \(0.317822\pi\) | |||||||
\(102\) | −1.65041 | − | 5.95790i | −0.163415 | − | 0.589920i | ||||
\(103\) | − | 1.91420i | − | 0.188612i | −0.995543 | − | 0.0943058i | \(-0.969937\pi\) | ||
0.995543 | − | 0.0943058i | \(-0.0300631\pi\) | |||||||
\(104\) | −7.00187 | −0.686589 | ||||||||
\(105\) | −4.28559 | − | 7.84274i | −0.418230 | − | 0.765373i | ||||
\(106\) | −5.65184 | −0.548956 | ||||||||
\(107\) | 13.7767i | 1.33185i | 0.746019 | + | 0.665924i | \(0.231963\pi\) | ||||
−0.746019 | + | 0.665924i | \(0.768037\pi\) | |||||||
\(108\) | 3.58007 | − | 3.76605i | 0.344492 | − | 0.362388i | ||||
\(109\) | −4.26102 | −0.408131 | −0.204066 | − | 0.978957i | \(-0.565416\pi\) | ||||
−0.204066 | + | 0.978957i | \(0.565416\pi\) | |||||||
\(110\) | 8.16370 | 0.778378 | ||||||||
\(111\) | 0.542195 | − | 0.150195i | 0.0514629 | − | 0.0142559i | ||||
\(112\) | −0.602835 | − | 2.57616i | −0.0569626 | − | 0.243424i | ||||
\(113\) | − | 9.50152i | − | 0.893828i | −0.894577 | − | 0.446914i | \(-0.852523\pi\) | ||
0.894577 | − | 0.446914i | \(-0.147477\pi\) | |||||||
\(114\) | 13.5031 | − | 3.74052i | 1.26468 | − | 0.350332i | ||||
\(115\) | 1.95027i | 0.181864i | ||||||||
\(116\) | − | 2.33625i | − | 0.216916i | ||||||
\(117\) | −10.8083 | − | 18.0116i | −0.999224 | − | 1.66517i | ||||
\(118\) | 7.74076i | 0.712595i | ||||||||
\(119\) | −2.15172 | − | 9.19516i | −0.197248 | − | 0.842919i | ||||
\(120\) | −0.901781 | − | 3.25538i | −0.0823210 | − | 0.297174i | ||||
\(121\) | −6.52200 | −0.592909 | ||||||||
\(122\) | −9.18309 | −0.831398 | ||||||||
\(123\) | 14.7214 | − | 4.07802i | 1.32738 | − | 0.367702i | ||||
\(124\) | − | 0.237061i | − | 0.0212887i | ||||||
\(125\) | 12.0847 | 1.08089 | ||||||||
\(126\) | 5.69635 | − | 5.52735i | 0.507471 | − | 0.492416i | ||||
\(127\) | 4.82854 | 0.428464 | 0.214232 | − | 0.976783i | \(-0.431275\pi\) | ||||
0.214232 | + | 0.976783i | \(0.431275\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −14.2593 | + | 3.95002i | −1.25546 | + | 0.347780i | ||||
\(130\) | −13.6555 | −1.19767 | ||||||||
\(131\) | 18.7373 | 1.63709 | 0.818544 | − | 0.574444i | \(-0.194782\pi\) | ||||
0.818544 | + | 0.574444i | \(0.194782\pi\) | |||||||
\(132\) | 1.93552 | + | 6.98711i | 0.168465 | + | 0.608150i | ||||
\(133\) | 20.8400 | − | 4.87669i | 1.80706 | − | 0.422862i | ||||
\(134\) | 7.68745i | 0.664094i | ||||||||
\(135\) | 6.98211 | − | 7.34482i | 0.600924 | − | 0.632142i | ||||
\(136\) | − | 3.56933i | − | 0.306068i | ||||||
\(137\) | − | 6.80806i | − | 0.581652i | −0.956776 | − | 0.290826i | \(-0.906070\pi\) | ||
0.956776 | − | 0.290826i | \(-0.0939301\pi\) | |||||||
\(138\) | −1.66919 | + | 0.462387i | −0.142091 | + | 0.0393610i | ||||
\(139\) | 12.9800i | 1.10095i | 0.834852 | + | 0.550475i | \(0.185553\pi\) | ||||
−0.834852 | + | 0.550475i | \(0.814447\pi\) | |||||||
\(140\) | −1.17569 | − | 5.02421i | −0.0993642 | − | 0.424623i | ||||
\(141\) | −0.291841 | + | 0.0808438i | −0.0245775 | + | 0.00680827i | ||||
\(142\) | −5.42350 | −0.455130 | ||||||||
\(143\) | 29.3093 | 2.45097 | ||||||||
\(144\) | 2.57240 | − | 1.54363i | 0.214366 | − | 0.128635i | ||||
\(145\) | − | 4.55633i | − | 0.378382i | ||||||
\(146\) | −11.1709 | −0.924508 | ||||||||
\(147\) | 9.03496 | − | 8.08514i | 0.745191 | − | 0.666851i | ||||
\(148\) | 0.324825 | 0.0267005 | ||||||||
\(149\) | 13.6518i | 1.11840i | 0.829032 | + | 0.559201i | \(0.188892\pi\) | ||||
−0.829032 | + | 0.559201i | \(0.811108\pi\) | |||||||
\(150\) | 0.553217 | + | 1.99708i | 0.0451700 | + | 0.163061i | ||||
\(151\) | 2.79942 | 0.227814 | 0.113907 | − | 0.993491i | \(-0.463663\pi\) | ||||
0.113907 | + | 0.993491i | \(0.463663\pi\) | |||||||
\(152\) | 8.08958 | 0.656152 | ||||||||
\(153\) | 9.18173 | − | 5.50971i | 0.742299 | − | 0.445434i | ||||
\(154\) | 2.52342 | + | 10.7836i | 0.203343 | + | 0.868968i | ||||
\(155\) | − | 0.462334i | − | 0.0371355i | ||||||
\(156\) | −3.23757 | − | 11.6874i | −0.259213 | − | 0.935745i | ||||
\(157\) | 9.02729i | 0.720456i | 0.932864 | + | 0.360228i | \(0.117301\pi\) | ||||
−0.932864 | + | 0.360228i | \(0.882699\pi\) | |||||||
\(158\) | 12.2350i | 0.973362i | ||||||||
\(159\) | −2.61334 | − | 9.43401i | −0.207251 | − | 0.748165i | ||||
\(160\) | − | 1.95027i | − | 0.154183i | ||||||
\(161\) | −2.57616 | + | 0.602835i | −0.203030 | + | 0.0475101i | ||||
\(162\) | 7.94163 | + | 4.23444i | 0.623954 | + | 0.332689i | ||||
\(163\) | 1.52485 | 0.119436 | 0.0597178 | − | 0.998215i | \(-0.480980\pi\) | ||||
0.0597178 | + | 0.998215i | \(0.480980\pi\) | |||||||
\(164\) | 8.81948 | 0.688686 | ||||||||
\(165\) | 3.77479 | + | 13.6268i | 0.293867 | + | 1.06084i | ||||
\(166\) | − | 17.9170i | − | 1.39063i | ||||||
\(167\) | −7.96658 | −0.616472 | −0.308236 | − | 0.951310i | \(-0.599739\pi\) | ||||
−0.308236 | + | 0.951310i | \(0.599739\pi\) | |||||||
\(168\) | 4.02136 | − | 2.19743i | 0.310254 | − | 0.169535i | ||||
\(169\) | −36.0261 | −2.77124 | ||||||||
\(170\) | − | 6.96117i | − | 0.533897i | ||||||
\(171\) | 12.4873 | + | 20.8096i | 0.954927 | + | 1.59135i | ||||
\(172\) | −8.54266 | −0.651372 | ||||||||
\(173\) | 4.99294 | 0.379606 | 0.189803 | − | 0.981822i | \(-0.439215\pi\) | ||||
0.189803 | + | 0.981822i | \(0.439215\pi\) | |||||||
\(174\) | 3.89965 | − | 1.08025i | 0.295632 | − | 0.0818938i | ||||
\(175\) | 0.721254 | + | 3.08221i | 0.0545217 | + | 0.232993i | ||||
\(176\) | 4.18593i | 0.315526i | ||||||||
\(177\) | −12.9208 | + | 3.57923i | −0.971188 | + | 0.269031i | ||||
\(178\) | 1.21795i | 0.0912889i | ||||||||
\(179\) | 9.35057i | 0.698895i | 0.936956 | + | 0.349447i | \(0.113631\pi\) | ||||
−0.936956 | + | 0.349447i | \(0.886369\pi\) | |||||||
\(180\) | 5.01687 | − | 3.01049i | 0.373936 | − | 0.224389i | ||||
\(181\) | − | 13.1624i | − | 0.978355i | −0.872184 | − | 0.489178i | \(-0.837297\pi\) | ||
0.872184 | − | 0.489178i | \(-0.162703\pi\) | |||||||
\(182\) | −4.22097 | − | 18.0379i | −0.312879 | − | 1.33706i | ||||
\(183\) | −4.24614 | − | 15.3283i | −0.313884 | − | 1.13310i | ||||
\(184\) | −1.00000 | −0.0737210 | ||||||||
\(185\) | 0.633498 | 0.0465757 | ||||||||
\(186\) | 0.395700 | − | 0.109614i | 0.0290142 | − | 0.00803729i | ||||
\(187\) | 14.9410i | 1.09259i | ||||||||
\(188\) | −0.174840 | −0.0127515 | ||||||||
\(189\) | 11.8601 | + | 6.95251i | 0.862697 | + | 0.505721i | ||||
\(190\) | 15.7769 | 1.14458 | ||||||||
\(191\) | − | 20.9301i | − | 1.51445i | −0.653154 | − | 0.757225i | \(-0.726555\pi\) | ||
0.653154 | − | 0.757225i | \(-0.273445\pi\) | |||||||
\(192\) | 1.66919 | − | 0.462387i | 0.120463 | − | 0.0333699i | ||||
\(193\) | −2.02912 | −0.146059 | −0.0730296 | − | 0.997330i | \(-0.523267\pi\) | ||||
−0.0730296 | + | 0.997330i | \(0.523267\pi\) | |||||||
\(194\) | −16.7148 | −1.20005 | ||||||||
\(195\) | −6.31415 | − | 22.7937i | −0.452166 | − | 1.63229i | ||||
\(196\) | 6.27318 | − | 3.10600i | 0.448084 | − | 0.221857i | ||||
\(197\) | − | 17.2251i | − | 1.22724i | −0.789602 | − | 0.613620i | \(-0.789713\pi\) | ||
0.789602 | − | 0.613620i | \(-0.210287\pi\) | |||||||
\(198\) | −10.7679 | + | 6.46151i | −0.765239 | + | 0.459199i | ||||
\(199\) | 10.9423i | 0.775682i | 0.921726 | + | 0.387841i | \(0.126779\pi\) | ||||
−0.921726 | + | 0.387841i | \(0.873221\pi\) | |||||||
\(200\) | 1.19644i | 0.0846009i | ||||||||
\(201\) | −12.8318 | + | 3.55458i | −0.905087 | + | 0.250721i | ||||
\(202\) | 10.8858i | 0.765925i | ||||||||
\(203\) | 6.01855 | − | 1.40837i | 0.422420 | − | 0.0988485i | ||||
\(204\) | 5.95790 | − | 1.65041i | 0.417136 | − | 0.115552i | ||||
\(205\) | 17.2004 | 1.20133 | ||||||||
\(206\) | 1.91420 | 0.133368 | ||||||||
\(207\) | −1.54363 | − | 2.57240i | −0.107289 | − | 0.178794i | ||||
\(208\) | − | 7.00187i | − | 0.485492i | ||||||
\(209\) | −33.8624 | −2.34231 | ||||||||
\(210\) | 7.84274 | − | 4.28559i | 0.541200 | − | 0.295734i | ||||
\(211\) | 16.5236 | 1.13753 | 0.568765 | − | 0.822500i | \(-0.307422\pi\) | ||||
0.568765 | + | 0.822500i | \(0.307422\pi\) | |||||||
\(212\) | − | 5.65184i | − | 0.388170i | ||||||
\(213\) | −2.50776 | − | 9.05286i | −0.171829 | − | 0.620292i | ||||
\(214\) | −13.7767 | −0.941759 | ||||||||
\(215\) | −16.6605 | −1.13624 | ||||||||
\(216\) | 3.76605 | + | 3.58007i | 0.256247 | + | 0.243593i | ||||
\(217\) | 0.610707 | − | 0.142909i | 0.0414575 | − | 0.00970128i | ||||
\(218\) | − | 4.26102i | − | 0.288593i | ||||||
\(219\) | −5.16527 | − | 18.6463i | −0.349037 | − | 1.26000i | ||||
\(220\) | 8.16370i | 0.550397i | ||||||||
\(221\) | − | 24.9920i | − | 1.68114i | ||||||
\(222\) | 0.150195 | + | 0.542195i | 0.0100804 | + | 0.0363898i | ||||
\(223\) | 6.83216i | 0.457515i | 0.973483 | + | 0.228758i | \(0.0734663\pi\) | ||||
−0.973483 | + | 0.228758i | \(0.926534\pi\) | |||||||
\(224\) | 2.57616 | − | 0.602835i | 0.172127 | − | 0.0402786i | ||||
\(225\) | −3.07771 | + | 1.84685i | −0.205181 | + | 0.123123i | ||||
\(226\) | 9.50152 | 0.632032 | ||||||||
\(227\) | −6.00651 | −0.398666 | −0.199333 | − | 0.979932i | \(-0.563878\pi\) | ||||
−0.199333 | + | 0.979932i | \(0.563878\pi\) | |||||||
\(228\) | 3.74052 | + | 13.5031i | 0.247722 | + | 0.894262i | ||||
\(229\) | − | 10.3531i | − | 0.684150i | −0.939673 | − | 0.342075i | \(-0.888870\pi\) | ||
0.939673 | − | 0.342075i | \(-0.111130\pi\) | |||||||
\(230\) | −1.95027 | −0.128597 | ||||||||
\(231\) | −16.8331 | + | 9.19828i | −1.10754 | + | 0.605203i | ||||
\(232\) | 2.33625 | 0.153382 | ||||||||
\(233\) | 9.24182i | 0.605451i | 0.953078 | + | 0.302726i | \(0.0978966\pi\) | ||||
−0.953078 | + | 0.302726i | \(0.902103\pi\) | |||||||
\(234\) | 18.0116 | − | 10.8083i | 1.17745 | − | 0.706558i | ||||
\(235\) | −0.340985 | −0.0222434 | ||||||||
\(236\) | −7.74076 | −0.503881 | ||||||||
\(237\) | −20.4225 | + | 5.65730i | −1.32658 | + | 0.367481i | ||||
\(238\) | 9.19516 | − | 2.15172i | 0.596034 | − | 0.139475i | ||||
\(239\) | − | 11.2399i | − | 0.727047i | −0.931585 | − | 0.363524i | \(-0.881574\pi\) | ||
0.931585 | − | 0.363524i | \(-0.118426\pi\) | |||||||
\(240\) | 3.25538 | − | 0.901781i | 0.210134 | − | 0.0582097i | ||||
\(241\) | − | 3.48754i | − | 0.224652i | −0.993671 | − | 0.112326i | \(-0.964170\pi\) | ||
0.993671 | − | 0.112326i | \(-0.0358301\pi\) | |||||||
\(242\) | − | 6.52200i | − | 0.419250i | ||||||
\(243\) | −3.39598 | + | 15.2141i | −0.217852 | + | 0.975982i | ||||
\(244\) | − | 9.18309i | − | 0.587887i | ||||||
\(245\) | 12.2344 | − | 6.05754i | 0.781628 | − | 0.387002i | ||||
\(246\) | 4.07802 | + | 14.7214i | 0.260005 | + | 0.938602i | ||||
\(247\) | 56.6422 | 3.60406 | ||||||||
\(248\) | 0.237061 | 0.0150534 | ||||||||
\(249\) | 29.9068 | − | 8.28458i | 1.89527 | − | 0.525014i | ||||
\(250\) | 12.0847i | 0.764306i | ||||||||
\(251\) | −0.529091 | −0.0333959 | −0.0166979 | − | 0.999861i | \(-0.505315\pi\) | ||||
−0.0166979 | + | 0.999861i | \(0.505315\pi\) | |||||||
\(252\) | 5.52735 | + | 5.69635i | 0.348191 | + | 0.358836i | ||||
\(253\) | 4.18593 | 0.263167 | ||||||||
\(254\) | 4.82854i | 0.302970i | ||||||||
\(255\) | 11.6195 | − | 3.21876i | 0.727643 | − | 0.201566i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 8.82434 | 0.550447 | 0.275224 | − | 0.961380i | \(-0.411248\pi\) | ||||
0.275224 | + | 0.961380i | \(0.411248\pi\) | |||||||
\(258\) | −3.95002 | − | 14.2593i | −0.245917 | − | 0.887747i | ||||
\(259\) | 0.195816 | + | 0.836801i | 0.0121674 | + | 0.0519963i | ||||
\(260\) | − | 13.6555i | − | 0.846881i | ||||||
\(261\) | 3.60630 | + | 6.00976i | 0.223224 | + | 0.371995i | ||||
\(262\) | 18.7373i | 1.15760i | ||||||||
\(263\) | 23.8672i | 1.47171i | 0.677137 | + | 0.735857i | \(0.263220\pi\) | ||||
−0.677137 | + | 0.735857i | \(0.736780\pi\) | |||||||
\(264\) | −6.98711 | + | 1.93552i | −0.430027 | + | 0.119123i | ||||
\(265\) | − | 11.0226i | − | 0.677115i | ||||||
\(266\) | 4.87669 | + | 20.8400i | 0.299009 | + | 1.27779i | ||||
\(267\) | −2.03298 | + | 0.563163i | −0.124417 | + | 0.0344650i | ||||
\(268\) | −7.68745 | −0.469586 | ||||||||
\(269\) | 0.592775 | 0.0361421 | 0.0180711 | − | 0.999837i | \(-0.494247\pi\) | ||||
0.0180711 | + | 0.999837i | \(0.494247\pi\) | |||||||
\(270\) | 7.34482 | + | 6.98211i | 0.446992 | + | 0.424917i | ||||
\(271\) | 2.86434i | 0.173996i | 0.996208 | + | 0.0869980i | \(0.0277274\pi\) | ||||
−0.996208 | + | 0.0869980i | \(0.972273\pi\) | |||||||
\(272\) | 3.56933 | 0.216423 | ||||||||
\(273\) | 28.1570 | − | 15.3861i | 1.70414 | − | 0.931210i | ||||
\(274\) | 6.80806 | 0.411290 | ||||||||
\(275\) | − | 5.00820i | − | 0.302006i | ||||||
\(276\) | −0.462387 | − | 1.66919i | −0.0278324 | − | 0.100473i | ||||
\(277\) | −13.9675 | −0.839224 | −0.419612 | − | 0.907704i | \(-0.637834\pi\) | ||||
−0.419612 | + | 0.907704i | \(0.637834\pi\) | |||||||
\(278\) | −12.9800 | −0.778489 | ||||||||
\(279\) | 0.365934 | + | 0.609815i | 0.0219079 | + | 0.0365087i | ||||
\(280\) | 5.02421 | − | 1.17569i | 0.300254 | − | 0.0702611i | ||||
\(281\) | − | 16.7970i | − | 1.00202i | −0.865440 | − | 0.501012i | \(-0.832961\pi\) | ||
0.865440 | − | 0.501012i | \(-0.167039\pi\) | |||||||
\(282\) | −0.0808438 | − | 0.291841i | −0.00481418 | − | 0.0173789i | ||||
\(283\) | 17.3411i | 1.03082i | 0.856943 | + | 0.515411i | \(0.172361\pi\) | ||||
−0.856943 | + | 0.515411i | \(0.827639\pi\) | |||||||
\(284\) | − | 5.42350i | − | 0.321826i | ||||||
\(285\) | 7.29504 | + | 26.3346i | 0.432121 | + | 1.55993i | ||||
\(286\) | 29.3093i | 1.73310i | ||||||||
\(287\) | 5.31669 | + | 22.7204i | 0.313835 | + | 1.34114i | ||||
\(288\) | 1.54363 | + | 2.57240i | 0.0909590 | + | 0.151580i | ||||
\(289\) | −4.25987 | −0.250581 | ||||||||
\(290\) | 4.55633 | 0.267557 | ||||||||
\(291\) | −7.72873 | − | 27.9002i | −0.453066 | − | 1.63554i | ||||
\(292\) | − | 11.1709i | − | 0.653726i | ||||||
\(293\) | 9.55084 | 0.557966 | 0.278983 | − | 0.960296i | \(-0.410003\pi\) | ||||
0.278983 | + | 0.960296i | \(0.410003\pi\) | |||||||
\(294\) | 8.08514 | + | 9.03496i | 0.471535 | + | 0.526930i | ||||
\(295\) | −15.0966 | −0.878958 | ||||||||
\(296\) | 0.324825i | 0.0188801i | ||||||||
\(297\) | −15.7644 | − | 14.9859i | −0.914744 | − | 0.869570i | ||||
\(298\) | −13.6518 | −0.790830 | ||||||||
\(299\) | −7.00187 | −0.404928 | ||||||||
\(300\) | −1.99708 | + | 0.553217i | −0.115302 | + | 0.0319400i | ||||
\(301\) | −5.14981 | − | 22.0072i | −0.296830 | − | 1.26848i | ||||
\(302\) | 2.79942i | 0.161088i | ||||||||
\(303\) | −18.1705 | + | 5.03347i | −1.04387 | + | 0.289166i | ||||
\(304\) | 8.08958i | 0.463969i | ||||||||
\(305\) | − | 17.9095i | − | 1.02550i | ||||||
\(306\) | 5.50971 | + | 9.18173i | 0.314969 | + | 0.524885i | ||||
\(307\) | − | 19.5248i | − | 1.11434i | −0.830399 | − | 0.557169i | \(-0.811888\pi\) | ||
0.830399 | − | 0.557169i | \(-0.188112\pi\) | |||||||
\(308\) | −10.7836 | + | 2.52342i | −0.614453 | + | 0.143785i | ||||
\(309\) | 0.885101 | + | 3.19516i | 0.0503516 | + | 0.181766i | ||||
\(310\) | 0.462334 | 0.0262588 | ||||||||
\(311\) | −20.0679 | −1.13795 | −0.568973 | − | 0.822356i | \(-0.692659\pi\) | ||||
−0.568973 | + | 0.822356i | \(0.692659\pi\) | |||||||
\(312\) | 11.6874 | − | 3.23757i | 0.661672 | − | 0.183292i | ||||
\(313\) | − | 16.3669i | − | 0.925114i | −0.886590 | − | 0.462557i | \(-0.846932\pi\) | ||
0.886590 | − | 0.462557i | \(-0.153068\pi\) | |||||||
\(314\) | −9.02729 | −0.509439 | ||||||||
\(315\) | 10.7798 | + | 11.1094i | 0.607376 | + | 0.625945i | ||||
\(316\) | −12.2350 | −0.688271 | ||||||||
\(317\) | 8.14630i | 0.457542i | 0.973480 | + | 0.228771i | \(0.0734707\pi\) | ||||
−0.973480 | + | 0.228771i | \(0.926529\pi\) | |||||||
\(318\) | 9.43401 | − | 2.61334i | 0.529033 | − | 0.146549i | ||||
\(319\) | −9.77938 | −0.547540 | ||||||||
\(320\) | 1.95027 | 0.109024 | ||||||||
\(321\) | −6.37019 | − | 22.9960i | −0.355550 | − | 1.28351i | ||||
\(322\) | −0.602835 | − | 2.57616i | −0.0335947 | − | 0.143564i | ||||
\(323\) | 28.8744i | 1.60662i | ||||||||
\(324\) | −4.23444 | + | 7.94163i | −0.235247 | + | 0.441202i | ||||
\(325\) | 8.37729i | 0.464689i | ||||||||
\(326\) | 1.52485i | 0.0844537i | ||||||||
\(327\) | 7.11245 | − | 1.97024i | 0.393319 | − | 0.108955i | ||||
\(328\) | 8.81948i | 0.486975i | ||||||||
\(329\) | −0.105400 | − | 0.450415i | −0.00581087 | − | 0.0248322i | ||||
\(330\) | −13.6268 | + | 3.77479i | −0.750129 | + | 0.207795i | ||||
\(331\) | −26.4631 | −1.45454 | −0.727271 | − | 0.686351i | \(-0.759212\pi\) | ||||
−0.727271 | + | 0.686351i | \(0.759212\pi\) | |||||||
\(332\) | 17.9170 | 0.983321 | ||||||||
\(333\) | −0.835579 | + | 0.501408i | −0.0457894 | + | 0.0274770i | ||||
\(334\) | − | 7.96658i | − | 0.435912i | ||||||
\(335\) | −14.9926 | −0.819134 | ||||||||
\(336\) | 2.19743 | + | 4.02136i | 0.119880 | + | 0.219383i | ||||
\(337\) | 27.8741 | 1.51840 | 0.759201 | − | 0.650857i | \(-0.225590\pi\) | ||||
0.759201 | + | 0.650857i | \(0.225590\pi\) | |||||||
\(338\) | − | 36.0261i | − | 1.95956i | ||||||
\(339\) | 4.39338 | + | 15.8599i | 0.238616 | + | 0.861389i | ||||
\(340\) | 6.96117 | 0.377522 | ||||||||
\(341\) | −0.992321 | −0.0537372 | ||||||||
\(342\) | −20.8096 | + | 12.4873i | −1.12526 | + | 0.675235i | ||||
\(343\) | 11.7832 | + | 14.2883i | 0.636235 | + | 0.771496i | ||||
\(344\) | − | 8.54266i | − | 0.460589i | ||||||
\(345\) | −0.901781 | − | 3.25538i | −0.0485503 | − | 0.175264i | ||||
\(346\) | 4.99294i | 0.268422i | ||||||||
\(347\) | − | 10.8116i | − | 0.580398i | −0.956966 | − | 0.290199i | \(-0.906278\pi\) | ||
0.956966 | − | 0.290199i | \(-0.0937215\pi\) | |||||||
\(348\) | 1.08025 | + | 3.89965i | 0.0579077 | + | 0.209043i | ||||
\(349\) | − | 2.76386i | − | 0.147946i | −0.997260 | − | 0.0739731i | \(-0.976432\pi\) | ||
0.997260 | − | 0.0739731i | \(-0.0235679\pi\) | |||||||
\(350\) | −3.08221 | + | 0.721254i | −0.164751 | + | 0.0385527i | ||||
\(351\) | 26.3694 | + | 25.0671i | 1.40749 | + | 1.33799i | ||||
\(352\) | −4.18593 | −0.223111 | ||||||||
\(353\) | 23.4616 | 1.24873 | 0.624367 | − | 0.781131i | \(-0.285357\pi\) | ||||
0.624367 | + | 0.781131i | \(0.285357\pi\) | |||||||
\(354\) | −3.57923 | − | 12.9208i | −0.190234 | − | 0.686733i | ||||
\(355\) | − | 10.5773i | − | 0.561385i | ||||||
\(356\) | −1.21795 | −0.0645510 | ||||||||
\(357\) | 7.84336 | + | 14.3536i | 0.415114 | + | 0.759671i | ||||
\(358\) | −9.35057 | −0.494193 | ||||||||
\(359\) | 11.5092i | 0.607435i | 0.952762 | + | 0.303717i | \(0.0982279\pi\) | ||||
−0.952762 | + | 0.303717i | \(0.901772\pi\) | |||||||
\(360\) | 3.01049 | + | 5.01687i | 0.158667 | + | 0.264412i | ||||
\(361\) | −46.4414 | −2.44428 | ||||||||
\(362\) | 13.1624 | 0.691802 | ||||||||
\(363\) | 10.8865 | − | 3.01569i | 0.571391 | − | 0.158283i | ||||
\(364\) | 18.0379 | − | 4.22097i | 0.945443 | − | 0.221239i | ||||
\(365\) | − | 21.7862i | − | 1.14034i | ||||||
\(366\) | 15.3283 | − | 4.24614i | 0.801224 | − | 0.221949i | ||||
\(367\) | − | 8.53645i | − | 0.445599i | −0.974864 | − | 0.222800i | \(-0.928480\pi\) | ||
0.974864 | − | 0.222800i | \(-0.0715196\pi\) | |||||||
\(368\) | − | 1.00000i | − | 0.0521286i | ||||||
\(369\) | −22.6872 | + | 13.6140i | −1.18105 | + | 0.708715i | ||||
\(370\) | 0.633498i | 0.0329340i | ||||||||
\(371\) | 14.5600 | − | 3.40713i | 0.755920 | − | 0.176889i | ||||
\(372\) | 0.109614 | + | 0.395700i | 0.00568323 | + | 0.0205161i | ||||
\(373\) | −31.5142 | −1.63174 | −0.815871 | − | 0.578234i | \(-0.803742\pi\) | ||||
−0.815871 | + | 0.578234i | \(0.803742\pi\) | |||||||
\(374\) | −14.9410 | −0.772579 | ||||||||
\(375\) | −20.1717 | + | 5.58783i | −1.04166 | + | 0.288554i | ||||
\(376\) | − | 0.174840i | − | 0.00901668i | ||||||
\(377\) | 16.3581 | 0.842486 | ||||||||
\(378\) | −6.95251 | + | 11.8601i | −0.357599 | + | 0.610019i | ||||
\(379\) | −15.0834 | −0.774780 | −0.387390 | − | 0.921916i | \(-0.626623\pi\) | ||||
−0.387390 | + | 0.921916i | \(0.626623\pi\) | |||||||
\(380\) | 15.7769i | 0.809338i | ||||||||
\(381\) | −8.05975 | + | 2.23266i | −0.412914 | + | 0.114382i | ||||
\(382\) | 20.9301 | 1.07088 | ||||||||
\(383\) | −5.99148 | −0.306150 | −0.153075 | − | 0.988215i | \(-0.548918\pi\) | ||||
−0.153075 | + | 0.988215i | \(0.548918\pi\) | |||||||
\(384\) | 0.462387 | + | 1.66919i | 0.0235961 | + | 0.0851805i | ||||
\(385\) | −21.0310 | + | 4.92137i | −1.07184 | + | 0.250816i | ||||
\(386\) | − | 2.02912i | − | 0.103280i | ||||||
\(387\) | 21.9751 | − | 13.1867i | 1.11706 | − | 0.670316i | ||||
\(388\) | − | 16.7148i | − | 0.848567i | ||||||
\(389\) | − | 1.08008i | − | 0.0547622i | −0.999625 | − | 0.0273811i | \(-0.991283\pi\) | ||
0.999625 | − | 0.0273811i | \(-0.00871677\pi\) | |||||||
\(390\) | 22.7937 | − | 6.31415i | 1.15420 | − | 0.319730i | ||||
\(391\) | − | 3.56933i | − | 0.180509i | ||||||
\(392\) | 3.10600 | + | 6.27318i | 0.156877 | + | 0.316843i | ||||
\(393\) | −31.2762 | + | 8.66390i | −1.57767 | + | 0.437036i | ||||
\(394\) | 17.2251 | 0.867789 | ||||||||
\(395\) | −23.8615 | −1.20060 | ||||||||
\(396\) | −6.46151 | − | 10.7679i | −0.324703 | − | 0.541106i | ||||
\(397\) | 19.0645i | 0.956818i | 0.878137 | + | 0.478409i | \(0.158786\pi\) | ||||
−0.878137 | + | 0.478409i | \(0.841214\pi\) | |||||||
\(398\) | −10.9423 | −0.548490 | ||||||||
\(399\) | −32.5311 | + | 17.7763i | −1.62859 | + | 0.889928i | ||||
\(400\) | −1.19644 | −0.0598219 | ||||||||
\(401\) | − | 3.58379i | − | 0.178966i | −0.995988 | − | 0.0894831i | \(-0.971479\pi\) | ||
0.995988 | − | 0.0894831i | \(-0.0285215\pi\) | |||||||
\(402\) | −3.55458 | − | 12.8318i | −0.177286 | − | 0.639993i | ||||
\(403\) | 1.65987 | 0.0826840 | ||||||||
\(404\) | −10.8858 | −0.541591 | ||||||||
\(405\) | −8.25831 | + | 15.4883i | −0.410359 | + | 0.769622i | ||||
\(406\) | 1.40837 | + | 6.01855i | 0.0698965 | + | 0.298696i | ||||
\(407\) | − | 1.35969i | − | 0.0673976i | ||||||
\(408\) | 1.65041 | + | 5.95790i | 0.0817077 | + | 0.294960i | ||||
\(409\) | 3.95955i | 0.195787i | 0.995197 | + | 0.0978936i | \(0.0312105\pi\) | ||||
−0.995197 | + | 0.0978936i | \(0.968790\pi\) | |||||||
\(410\) | 17.2004i | 0.849467i | ||||||||
\(411\) | 3.14796 | + | 11.3640i | 0.155278 | + | 0.560543i | ||||
\(412\) | 1.91420i | 0.0943058i | ||||||||
\(413\) | −4.66640 | − | 19.9414i | −0.229619 | − | 0.981253i | ||||
\(414\) | 2.57240 | − | 1.54363i | 0.126426 | − | 0.0758651i | ||||
\(415\) | 34.9429 | 1.71528 | ||||||||
\(416\) | 7.00187 | 0.343295 | ||||||||
\(417\) | −6.00179 | − | 21.6661i | −0.293909 | − | 1.06099i | ||||
\(418\) | − | 33.8624i | − | 1.65627i | ||||||
\(419\) | 13.2658 | 0.648078 | 0.324039 | − | 0.946044i | \(-0.394959\pi\) | ||||
0.324039 | + | 0.946044i | \(0.394959\pi\) | |||||||
\(420\) | 4.28559 | + | 7.84274i | 0.209115 | + | 0.382687i | ||||
\(421\) | 21.2102 | 1.03372 | 0.516861 | − | 0.856069i | \(-0.327100\pi\) | ||||
0.516861 | + | 0.856069i | \(0.327100\pi\) | |||||||
\(422\) | 16.5236i | 0.804355i | ||||||||
\(423\) | 0.449757 | − | 0.269887i | 0.0218680 | − | 0.0131224i | ||||
\(424\) | 5.65184 | 0.274478 | ||||||||
\(425\) | −4.27048 | −0.207149 | ||||||||
\(426\) | 9.05286 | − | 2.50776i | 0.438613 | − | 0.121501i | ||||
\(427\) | 23.6571 | − | 5.53589i | 1.14485 | − | 0.267900i | ||||
\(428\) | − | 13.7767i | − | 0.665924i | ||||||
\(429\) | −48.9228 | + | 13.5523i | −2.36202 | + | 0.654309i | ||||
\(430\) | − | 16.6605i | − | 0.803441i | ||||||
\(431\) | − | 8.01994i | − | 0.386307i | −0.981169 | − | 0.193153i | \(-0.938128\pi\) | ||
0.981169 | − | 0.193153i | \(-0.0618715\pi\) | |||||||
\(432\) | −3.58007 | + | 3.76605i | −0.172246 | + | 0.181194i | ||||
\(433\) | − | 20.1632i | − | 0.968981i | −0.874796 | − | 0.484491i | \(-0.839005\pi\) | ||
0.874796 | − | 0.484491i | \(-0.160995\pi\) | |||||||
\(434\) | 0.142909 | + | 0.610707i | 0.00685984 | + | 0.0293149i | ||||
\(435\) | 2.10679 | + | 7.60538i | 0.101013 | + | 0.364650i | ||||
\(436\) | 4.26102 | 0.204066 | ||||||||
\(437\) | 8.08958 | 0.386977 | ||||||||
\(438\) | 18.6463 | − | 5.16527i | 0.890955 | − | 0.246806i | ||||
\(439\) | 39.5350i | 1.88690i | 0.331508 | + | 0.943452i | \(0.392442\pi\) | ||||
−0.331508 | + | 0.943452i | \(0.607558\pi\) | |||||||
\(440\) | −8.16370 | −0.389189 | ||||||||
\(441\) | −11.3426 | + | 17.6733i | −0.540124 | + | 0.841585i | ||||
\(442\) | 24.9920 | 1.18875 | ||||||||
\(443\) | 18.1483i | 0.862254i | 0.902291 | + | 0.431127i | \(0.141884\pi\) | ||||
−0.902291 | + | 0.431127i | \(0.858116\pi\) | |||||||
\(444\) | −0.542195 | + | 0.150195i | −0.0257314 | + | 0.00712794i | ||||
\(445\) | −2.37533 | −0.112601 | ||||||||
\(446\) | −6.83216 | −0.323512 | ||||||||
\(447\) | −6.31244 | − | 22.7875i | −0.298568 | − | 1.07781i | ||||
\(448\) | 0.602835 | + | 2.57616i | 0.0284813 | + | 0.121712i | ||||
\(449\) | 23.0015i | 1.08551i | 0.839892 | + | 0.542754i | \(0.182619\pi\) | ||||
−0.839892 | + | 0.542754i | \(0.817381\pi\) | |||||||
\(450\) | −1.84685 | − | 3.07771i | −0.0870614 | − | 0.145085i | ||||
\(451\) | − | 36.9177i | − | 1.73839i | ||||||
\(452\) | 9.50152i | 0.446914i | ||||||||
\(453\) | −4.67276 | + | 1.29442i | −0.219546 | + | 0.0608170i | ||||
\(454\) | − | 6.00651i | − | 0.281899i | ||||||
\(455\) | 35.1788 | − | 8.23204i | 1.64921 | − | 0.385924i | ||||
\(456\) | −13.5031 | + | 3.74052i | −0.632339 | + | 0.175166i | ||||
\(457\) | −5.70940 | −0.267074 | −0.133537 | − | 0.991044i | \(-0.542634\pi\) | ||||
−0.133537 | + | 0.991044i | \(0.542634\pi\) | |||||||
\(458\) | 10.3531 | 0.483767 | ||||||||
\(459\) | −12.7784 | + | 13.4423i | −0.596447 | + | 0.627432i | ||||
\(460\) | − | 1.95027i | − | 0.0909319i | ||||||
\(461\) | −21.1482 | −0.984969 | −0.492485 | − | 0.870321i | \(-0.663911\pi\) | ||||
−0.492485 | + | 0.870321i | \(0.663911\pi\) | |||||||
\(462\) | −9.19828 | − | 16.8331i | −0.427943 | − | 0.783147i | ||||
\(463\) | −3.64251 | −0.169282 | −0.0846410 | − | 0.996412i | \(-0.526974\pi\) | ||||
−0.0846410 | + | 0.996412i | \(0.526974\pi\) | |||||||
\(464\) | 2.33625i | 0.108458i | ||||||||
\(465\) | 0.213777 | + | 0.771723i | 0.00991369 | + | 0.0357878i | ||||
\(466\) | −9.24182 | −0.428119 | ||||||||
\(467\) | −7.13820 | −0.330317 | −0.165158 | − | 0.986267i | \(-0.552814\pi\) | ||||
−0.165158 | + | 0.986267i | \(0.552814\pi\) | |||||||
\(468\) | 10.8083 | + | 18.0116i | 0.499612 | + | 0.832585i | ||||
\(469\) | −4.63426 | − | 19.8041i | −0.213990 | − | 0.914468i | ||||
\(470\) | − | 0.340985i | − | 0.0157285i | ||||||
\(471\) | −4.17411 | − | 15.0683i | −0.192333 | − | 0.694309i | ||||
\(472\) | − | 7.74076i | − | 0.356297i | ||||||
\(473\) | 35.7590i | 1.64420i | ||||||||
\(474\) | −5.65730 | − | 20.4225i | −0.259848 | − | 0.938037i | ||||
\(475\) | − | 9.67868i | − | 0.444088i | ||||||
\(476\) | 2.15172 | + | 9.19516i | 0.0986239 | + | 0.421460i | ||||
\(477\) | 8.72433 | + | 14.5388i | 0.399460 | + | 0.665685i | ||||
\(478\) | 11.2399 | 0.514100 | ||||||||
\(479\) | −25.8976 | −1.18329 | −0.591646 | − | 0.806198i | \(-0.701522\pi\) | ||||
−0.591646 | + | 0.806198i | \(0.701522\pi\) | |||||||
\(480\) | 0.901781 | + | 3.25538i | 0.0411605 | + | 0.148587i | ||||
\(481\) | 2.27438i | 0.103703i | ||||||||
\(482\) | 3.48754 | 0.158853 | ||||||||
\(483\) | 4.02136 | − | 2.19743i | 0.182978 | − | 0.0999865i | ||||
\(484\) | 6.52200 | 0.296454 | ||||||||
\(485\) | − | 32.5985i | − | 1.48022i | ||||||
\(486\) | −15.2141 | − | 3.39598i | −0.690123 | − | 0.154045i | ||||
\(487\) | −19.2742 | −0.873395 | −0.436698 | − | 0.899608i | \(-0.643852\pi\) | ||||
−0.436698 | + | 0.899608i | \(0.643852\pi\) | |||||||
\(488\) | 9.18309 | 0.415699 | ||||||||
\(489\) | −2.54527 | + | 0.705072i | −0.115101 | + | 0.0318845i | ||||
\(490\) | 6.05754 | + | 12.2344i | 0.273652 | + | 0.552694i | ||||
\(491\) | 31.9607i | 1.44237i | 0.692744 | + | 0.721184i | \(0.256402\pi\) | ||||
−0.692744 | + | 0.721184i | \(0.743598\pi\) | |||||||
\(492\) | −14.7214 | + | 4.07802i | −0.663692 | + | 0.183851i | ||||
\(493\) | 8.33886i | 0.375563i | ||||||||
\(494\) | 56.6422i | 2.54845i | ||||||||
\(495\) | −12.6017 | − | 21.0003i | −0.566404 | − | 0.943892i | ||||
\(496\) | 0.237061i | 0.0106444i | ||||||||
\(497\) | 13.9718 | − | 3.26948i | 0.626721 | − | 0.146656i | ||||
\(498\) | 8.28458 | + | 29.9068i | 0.371241 | + | 1.34016i | ||||
\(499\) | −36.6266 | −1.63963 | −0.819815 | − | 0.572628i | \(-0.805924\pi\) | ||||
−0.819815 | + | 0.572628i | \(0.805924\pi\) | |||||||
\(500\) | −12.0847 | −0.540446 | ||||||||
\(501\) | 13.2977 | − | 3.68364i | 0.594099 | − | 0.164573i | ||||
\(502\) | − | 0.529091i | − | 0.0236145i | ||||||
\(503\) | −12.8526 | −0.573070 | −0.286535 | − | 0.958070i | \(-0.592503\pi\) | ||||
−0.286535 | + | 0.958070i | \(0.592503\pi\) | |||||||
\(504\) | −5.69635 | + | 5.52735i | −0.253735 | + | 0.246208i | ||||
\(505\) | −21.2304 | −0.944738 | ||||||||
\(506\) | 4.18593i | 0.186087i | ||||||||
\(507\) | 60.1345 | − | 16.6580i | 2.67067 | − | 0.739809i | ||||
\(508\) | −4.82854 | −0.214232 | ||||||||
\(509\) | −6.44339 | −0.285598 | −0.142799 | − | 0.989752i | \(-0.545610\pi\) | ||||
−0.142799 | + | 0.989752i | \(0.545610\pi\) | |||||||
\(510\) | 3.21876 | + | 11.6195i | 0.142529 | + | 0.514521i | ||||
\(511\) | 28.7779 | − | 6.73419i | 1.27306 | − | 0.297903i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −30.4658 | − | 28.9613i | −1.34510 | − | 1.27867i | ||||
\(514\) | 8.82434i | 0.389225i | ||||||||
\(515\) | 3.73321i | 0.164505i | ||||||||
\(516\) | 14.2593 | − | 3.95002i | 0.627732 | − | 0.173890i | ||||
\(517\) | 0.731867i | 0.0321875i | ||||||||
\(518\) | −0.836801 | + | 0.195816i | −0.0367669 | + | 0.00860366i | ||||
\(519\) | −8.33417 | + | 2.30867i | −0.365829 | + | 0.101339i | ||||
\(520\) | 13.6555 | 0.598835 | ||||||||
\(521\) | 32.2374 | 1.41235 | 0.706174 | − | 0.708039i | \(-0.250420\pi\) | ||||
0.706174 | + | 0.708039i | \(0.250420\pi\) | |||||||
\(522\) | −6.00976 | + | 3.60630i | −0.263040 | + | 0.157843i | ||||
\(523\) | 2.19484i | 0.0959735i | 0.998848 | + | 0.0479867i | \(0.0152805\pi\) | ||||
−0.998848 | + | 0.0479867i | \(0.984719\pi\) | |||||||
\(524\) | −18.7373 | −0.818544 | ||||||||
\(525\) | −2.62909 | − | 4.81130i | −0.114743 | − | 0.209982i | ||||
\(526\) | −23.8672 | −1.04066 | ||||||||
\(527\) | 0.846150i | 0.0368589i | ||||||||
\(528\) | −1.93552 | − | 6.98711i | −0.0842327 | − | 0.304075i | ||||
\(529\) | −1.00000 | −0.0434783 | ||||||||
\(530\) | 11.0226 | 0.478793 | ||||||||
\(531\) | 19.9123 | − | 11.9488i | 0.864120 | − | 0.518535i | ||||
\(532\) | −20.8400 | + | 4.87669i | −0.903531 | + | 0.211431i | ||||
\(533\) | 61.7528i | 2.67481i | ||||||||
\(534\) | −0.563163 | − | 2.03298i | −0.0243704 | − | 0.0879758i | ||||
\(535\) | − | 26.8684i | − | 1.16162i | ||||||
\(536\) | − | 7.68745i | − | 0.332047i | ||||||
\(537\) | −4.32359 | − | 15.6079i | −0.186577 | − | 0.673530i | ||||
\(538\) | 0.592775i | 0.0255563i | ||||||||
\(539\) | −13.0015 | − | 26.2591i | −0.560013 | − | 1.13106i | ||||
\(540\) | −6.98211 | + | 7.34482i | −0.300462 | + | 0.316071i | ||||
\(541\) | −42.5880 | −1.83100 | −0.915502 | − | 0.402314i | \(-0.868206\pi\) | ||||
−0.915502 | + | 0.402314i | \(0.868206\pi\) | |||||||
\(542\) | −2.86434 | −0.123034 | ||||||||
\(543\) | 6.08614 | + | 21.9706i | 0.261181 | + | 0.942849i | ||||
\(544\) | 3.56933i | 0.153034i | ||||||||
\(545\) | 8.31014 | 0.355968 | ||||||||
\(546\) | 15.3861 | + | 28.1570i | 0.658465 | + | 1.20501i | ||||
\(547\) | 7.98052 | 0.341222 | 0.170611 | − | 0.985338i | \(-0.445426\pi\) | ||||
0.170611 | + | 0.985338i | \(0.445426\pi\) | |||||||
\(548\) | 6.80806i | 0.290826i | ||||||||
\(549\) | 14.1752 | + | 23.6225i | 0.604985 | + | 1.00819i | ||||
\(550\) | 5.00820 | 0.213550 | ||||||||
\(551\) | −18.8993 | −0.805137 | ||||||||
\(552\) | 1.66919 | − | 0.462387i | 0.0710455 | − | 0.0196805i | ||||
\(553\) | −7.37567 | − | 31.5192i | −0.313645 | − | 1.34033i | ||||
\(554\) | − | 13.9675i | − | 0.593421i | ||||||
\(555\) | −1.05743 | + | 0.292921i | −0.0448853 | + | 0.0124338i | ||||
\(556\) | − | 12.9800i | − | 0.550475i | ||||||
\(557\) | − | 15.3471i | − | 0.650278i | −0.945666 | − | 0.325139i | \(-0.894589\pi\) | ||
0.945666 | − | 0.325139i | \(-0.105411\pi\) | |||||||
\(558\) | −0.609815 | + | 0.365934i | −0.0258155 | + | 0.0154912i | ||||
\(559\) | − | 59.8145i | − | 2.52989i | ||||||
\(560\) | 1.17569 | + | 5.02421i | 0.0496821 | + | 0.212312i | ||||
\(561\) | −6.90851 | − | 24.9393i | −0.291678 | − | 1.05294i | ||||
\(562\) | 16.7970 | 0.708539 | ||||||||
\(563\) | −33.4328 | −1.40902 | −0.704512 | − | 0.709692i | \(-0.748834\pi\) | ||||
−0.704512 | + | 0.709692i | \(0.748834\pi\) | |||||||
\(564\) | 0.291841 | − | 0.0808438i | 0.0122887 | − | 0.00340414i | ||||
\(565\) | 18.5306i | 0.779586i | ||||||||
\(566\) | −17.3411 | −0.728902 | ||||||||
\(567\) | −23.0116 | − | 6.12109i | −0.966395 | − | 0.257062i | ||||
\(568\) | 5.42350 | 0.227565 | ||||||||
\(569\) | 29.4280i | 1.23369i | 0.787087 | + | 0.616843i | \(0.211589\pi\) | ||||
−0.787087 | + | 0.616843i | \(0.788411\pi\) | |||||||
\(570\) | −26.3346 | + | 7.29504i | −1.10304 | + | 0.305555i | ||||
\(571\) | 25.1047 | 1.05060 | 0.525299 | − | 0.850918i | \(-0.323953\pi\) | ||||
0.525299 | + | 0.850918i | \(0.323953\pi\) | |||||||
\(572\) | −29.3093 | −1.22548 | ||||||||
\(573\) | 9.67782 | + | 34.9364i | 0.404297 | + | 1.45949i | ||||
\(574\) | −22.7204 | + | 5.31669i | −0.948330 | + | 0.221915i | ||||
\(575\) | 1.19644i | 0.0498949i | ||||||||
\(576\) | −2.57240 | + | 1.54363i | −0.107183 | + | 0.0643177i | ||||
\(577\) | − | 20.8099i | − | 0.866329i | −0.901315 | − | 0.433165i | \(-0.857397\pi\) | ||
0.901315 | − | 0.433165i | \(-0.142603\pi\) | |||||||
\(578\) | − | 4.25987i | − | 0.177187i | ||||||
\(579\) | 3.38699 | − | 0.938240i | 0.140758 | − | 0.0389919i | ||||
\(580\) | 4.55633i | 0.189191i | ||||||||
\(581\) | 10.8010 | + | 46.1569i | 0.448100 | + | 1.91491i | ||||
\(582\) | 27.9002 | − | 7.72873i | 1.15650 | − | 0.320366i | ||||
\(583\) | −23.6582 | −0.979823 | ||||||||
\(584\) | 11.1709 | 0.462254 | ||||||||
\(585\) | 21.0790 | + | 35.1275i | 0.871511 | + | 1.45234i | ||||
\(586\) | 9.55084i | 0.394541i | ||||||||
\(587\) | 33.0545 | 1.36431 | 0.682153 | − | 0.731209i | \(-0.261044\pi\) | ||||
0.682153 | + | 0.731209i | \(0.261044\pi\) | |||||||
\(588\) | −9.03496 | + | 8.08514i | −0.372595 | + | 0.333426i | ||||
\(589\) | −1.91773 | −0.0790185 | ||||||||
\(590\) | − | 15.0966i | − | 0.621517i | ||||||
\(591\) | 7.96468 | + | 28.7520i | 0.327623 | + | 1.18270i | ||||
\(592\) | −0.324825 | −0.0133502 | ||||||||
\(593\) | 15.1171 | 0.620786 | 0.310393 | − | 0.950608i | \(-0.399539\pi\) | ||||
0.310393 | + | 0.950608i | \(0.399539\pi\) | |||||||
\(594\) | 14.9859 | − | 15.7644i | 0.614879 | − | 0.646822i | ||||
\(595\) | 4.19644 | + | 17.9331i | 0.172037 | + | 0.735184i | ||||
\(596\) | − | 13.6518i | − | 0.559201i | ||||||
\(597\) | −5.05960 | − | 18.2649i | −0.207076 | − | 0.747531i | ||||
\(598\) | − | 7.00187i | − | 0.286328i | ||||||
\(599\) | 29.2716i | 1.19601i | 0.801494 | + | 0.598003i | \(0.204039\pi\) | ||||
−0.801494 | + | 0.598003i | \(0.795961\pi\) | |||||||
\(600\) | −0.553217 | − | 1.99708i | −0.0225850 | − | 0.0815305i | ||||
\(601\) | − | 8.67668i | − | 0.353929i | −0.984217 | − | 0.176965i | \(-0.943372\pi\) | ||
0.984217 | − | 0.176965i | \(-0.0566278\pi\) | |||||||
\(602\) | 22.0072 | − | 5.14981i | 0.896948 | − | 0.209891i | ||||
\(603\) | 19.7752 | − | 11.8665i | 0.805307 | − | 0.483243i | ||||
\(604\) | −2.79942 | −0.113907 | ||||||||
\(605\) | 12.7197 | 0.517128 | ||||||||
\(606\) | −5.03347 | − | 18.1705i | −0.204471 | − | 0.738128i | ||||
\(607\) | − | 44.4740i | − | 1.80515i | −0.430538 | − | 0.902573i | \(-0.641676\pi\) | ||
0.430538 | − | 0.902573i | \(-0.358324\pi\) | |||||||
\(608\) | −8.08958 | −0.328076 | ||||||||
\(609\) | −9.39490 | + | 5.13375i | −0.380701 | + | 0.208030i | ||||
\(610\) | 17.9095 | 0.725135 | ||||||||
\(611\) | − | 1.22421i | − | 0.0495260i | ||||||
\(612\) | −9.18173 | + | 5.50971i | −0.371150 | + | 0.222717i | ||||
\(613\) | 9.37475 | 0.378643 | 0.189321 | − | 0.981915i | \(-0.439371\pi\) | ||||
0.189321 | + | 0.981915i | \(0.439371\pi\) | |||||||
\(614\) | 19.5248 | 0.787956 | ||||||||
\(615\) | −28.7107 | + | 7.95325i | −1.15773 | + | 0.320706i | ||||
\(616\) | −2.52342 | − | 10.7836i | −0.101672 | − | 0.434484i | ||||
\(617\) | − | 19.2861i | − | 0.776428i | −0.921569 | − | 0.388214i | \(-0.873092\pi\) | ||
0.921569 | − | 0.388214i | \(-0.126908\pi\) | |||||||
\(618\) | −3.19516 | + | 0.885101i | −0.128528 | + | 0.0356040i | ||||
\(619\) | 38.4993i | 1.54742i | 0.633542 | + | 0.773709i | \(0.281601\pi\) | ||||
−0.633542 | + | 0.773709i | \(0.718399\pi\) | |||||||
\(620\) | 0.462334i | 0.0185678i | ||||||||
\(621\) | 3.76605 | + | 3.58007i | 0.151126 | + | 0.143663i | ||||
\(622\) | − | 20.0679i | − | 0.804649i | ||||||
\(623\) | −0.734221 | − | 3.13762i | −0.0294159 | − | 0.125706i | ||||
\(624\) | 3.23757 | + | 11.6874i | 0.129607 | + | 0.467872i | ||||
\(625\) | −17.5864 | −0.703454 | ||||||||
\(626\) | 16.3669 | 0.654154 | ||||||||
\(627\) | 56.5228 | − | 15.6576i | 2.25730 | − | 0.625303i | ||||
\(628\) | − | 9.02729i | − | 0.360228i | ||||||
\(629\) | −1.15941 | −0.0462287 | ||||||||
\(630\) | −11.1094 | + | 10.7798i | −0.442610 | + | 0.429479i | ||||
\(631\) | 6.71012 | 0.267126 | 0.133563 | − | 0.991040i | \(-0.457358\pi\) | ||||
0.133563 | + | 0.991040i | \(0.457358\pi\) | |||||||
\(632\) | − | 12.2350i | − | 0.486681i | ||||||
\(633\) | −27.5810 | + | 7.64029i | −1.09625 | + | 0.303674i | ||||
\(634\) | −8.14630 | −0.323531 | ||||||||
\(635\) | −9.41697 | −0.373701 | ||||||||
\(636\) | 2.61334 | + | 9.43401i | 0.103626 | + | 0.374083i | ||||
\(637\) | 21.7478 | + | 43.9240i | 0.861678 | + | 1.74033i | ||||
\(638\) | − | 9.77938i | − | 0.387169i | ||||||
\(639\) | 8.37186 | + | 13.9514i | 0.331186 | + | 0.551909i | ||||
\(640\) | 1.95027i | 0.0770913i | ||||||||
\(641\) | 14.0351i | 0.554354i | 0.960819 | + | 0.277177i | \(0.0893988\pi\) | ||||
−0.960819 | + | 0.277177i | \(0.910601\pi\) | |||||||
\(642\) | 22.9960 | − | 6.37019i | 0.907581 | − | 0.251412i | ||||
\(643\) | 14.3748i | 0.566887i | 0.958989 | + | 0.283443i | \(0.0914768\pi\) | ||||
−0.958989 | + | 0.283443i | \(0.908523\pi\) | |||||||
\(644\) | 2.57616 | − | 0.602835i | 0.101515 | − | 0.0237550i | ||||
\(645\) | 27.8096 | − | 7.70361i | 1.09500 | − | 0.303329i | ||||
\(646\) | −28.8744 | −1.13605 | ||||||||
\(647\) | 18.7105 | 0.735587 | 0.367793 | − | 0.929908i | \(-0.380113\pi\) | ||||
0.367793 | + | 0.929908i | \(0.380113\pi\) | |||||||
\(648\) | −7.94163 | − | 4.23444i | −0.311977 | − | 0.166345i | ||||
\(649\) | 32.4023i | 1.27190i | ||||||||
\(650\) | −8.37729 | −0.328584 | ||||||||
\(651\) | −0.953307 | + | 0.520925i | −0.0373631 | + | 0.0204167i | ||||
\(652\) | −1.52485 | −0.0597178 | ||||||||
\(653\) | 21.3030i | 0.833650i | 0.908987 | + | 0.416825i | \(0.136857\pi\) | ||||
−0.908987 | + | 0.416825i | \(0.863143\pi\) | |||||||
\(654\) | 1.97024 | + | 7.11245i | 0.0770425 | + | 0.278119i | ||||
\(655\) | −36.5429 | −1.42785 | ||||||||
\(656\) | −8.81948 | −0.344343 | ||||||||
\(657\) | 17.2436 | + | 28.7359i | 0.672738 | + | 1.12109i | ||||
\(658\) | 0.450415 | − | 0.105400i | 0.0175590 | − | 0.00410891i | ||||
\(659\) | − | 20.9096i | − | 0.814524i | −0.913311 | − | 0.407262i | \(-0.866484\pi\) | ||
0.913311 | − | 0.407262i | \(-0.133516\pi\) | |||||||
\(660\) | −3.77479 | − | 13.6268i | −0.146934 | − | 0.530422i | ||||
\(661\) | − | 42.4302i | − | 1.65035i | −0.564881 | − | 0.825173i | \(-0.691078\pi\) | ||
0.564881 | − | 0.825173i | \(-0.308922\pi\) | |||||||
\(662\) | − | 26.4631i | − | 1.02852i | ||||||
\(663\) | 11.5560 | + | 41.7164i | 0.448797 | + | 1.62013i | ||||
\(664\) | 17.9170i | 0.695313i | ||||||||
\(665\) | −40.6438 | + | 9.51087i | −1.57610 | + | 0.368816i | ||||
\(666\) | −0.501408 | − | 0.835579i | −0.0194292 | − | 0.0323780i | ||||
\(667\) | 2.33625 | 0.0904600 | ||||||||
\(668\) | 7.96658 | 0.308236 | ||||||||
\(669\) | −3.15911 | − | 11.4042i | −0.122138 | − | 0.440911i | ||||
\(670\) | − | 14.9926i | − | 0.579215i | ||||||
\(671\) | −38.4397 | −1.48395 | ||||||||
\(672\) | −4.02136 | + | 2.19743i | −0.155127 | + | 0.0847677i | ||||
\(673\) | 42.5206 | 1.63905 | 0.819523 | − | 0.573046i | \(-0.194238\pi\) | ||||
0.819523 | + | 0.573046i | \(0.194238\pi\) | |||||||
\(674\) | 27.8741i | 1.07367i | ||||||||
\(675\) | 4.28332 | − | 4.50584i | 0.164865 | − | 0.173430i | ||||
\(676\) | 36.0261 | 1.38562 | ||||||||
\(677\) | −19.5004 | −0.749460 | −0.374730 | − | 0.927134i | \(-0.622265\pi\) | ||||
−0.374730 | + | 0.927134i | \(0.622265\pi\) | |||||||
\(678\) | −15.8599 | + | 4.39338i | −0.609094 | + | 0.168727i | ||||
\(679\) | 43.0600 | − | 10.0763i | 1.65249 | − | 0.386692i | ||||
\(680\) | 6.96117i | 0.266949i | ||||||||
\(681\) | 10.0260 | − | 2.77733i | 0.384197 | − | 0.106428i | ||||
\(682\) | − | 0.992321i | − | 0.0379979i | ||||||
\(683\) | 24.8146i | 0.949505i | 0.880119 | + | 0.474753i | \(0.157462\pi\) | ||||
−0.880119 | + | 0.474753i | \(0.842538\pi\) | |||||||
\(684\) | −12.4873 | − | 20.8096i | −0.477463 | − | 0.795675i | ||||
\(685\) | 13.2776i | 0.507310i | ||||||||
\(686\) | −14.2883 | + | 11.7832i | −0.545530 | + | 0.449886i | ||||
\(687\) | 4.78713 | + | 17.2812i | 0.182640 | + | 0.659320i | ||||
\(688\) | 8.54266 | 0.325686 | ||||||||
\(689\) | 39.5735 | 1.50763 | ||||||||
\(690\) | 3.25538 | − | 0.901781i | 0.123930 | − | 0.0343302i | ||||
\(691\) | 2.77055i | 0.105397i | 0.998610 | + | 0.0526983i | \(0.0167822\pi\) | ||||
−0.998610 | + | 0.0526983i | \(0.983218\pi\) | |||||||
\(692\) | −4.99294 | −0.189803 | ||||||||
\(693\) | 23.8445 | − | 23.1371i | 0.905778 | − | 0.878906i | ||||
\(694\) | 10.8116 | 0.410403 | ||||||||
\(695\) | − | 25.3146i | − | 0.960236i | ||||||
\(696\) | −3.89965 | + | 1.08025i | −0.147816 | + | 0.0409469i | ||||
\(697\) | −31.4797 | −1.19238 | ||||||||
\(698\) | 2.76386 | 0.104614 | ||||||||
\(699\) | −4.27330 | − | 15.4264i | −0.161631 | − | 0.583478i | ||||
\(700\) | −0.721254 | − | 3.08221i | −0.0272609 | − | 0.116497i | ||||
\(701\) | − | 21.9857i | − | 0.830388i | −0.909733 | − | 0.415194i | \(-0.863714\pi\) | ||
0.909733 | − | 0.415194i | \(-0.136286\pi\) | |||||||
\(702\) | −25.0671 | + | 26.3694i | −0.946098 | + | 0.995248i | ||||
\(703\) | − | 2.62770i | − | 0.0991056i | ||||||
\(704\) | − | 4.18593i | − | 0.157763i | ||||||
\(705\) | 0.569170 | − | 0.157667i | 0.0214362 | − | 0.00593810i | ||||
\(706\) | 23.4616i | 0.882988i | ||||||||
\(707\) | −6.56237 | − | 28.0436i | −0.246803 | − | 1.05469i | ||||
\(708\) | 12.9208 | − | 3.57923i | 0.485594 | − | 0.134516i | ||||
\(709\) | 21.8317 | 0.819908 | 0.409954 | − | 0.912106i | \(-0.365545\pi\) | ||||
0.409954 | + | 0.912106i | \(0.365545\pi\) | |||||||
\(710\) | 10.5773 | 0.396959 | ||||||||
\(711\) | 31.4732 | − | 18.8862i | 1.18034 | − | 0.708288i | ||||
\(712\) | − | 1.21795i | − | 0.0456445i | ||||||
\(713\) | 0.237061 | 0.00887801 | ||||||||
\(714\) | −14.3536 | + | 7.84336i | −0.537168 | + | 0.293530i | ||||
\(715\) | −57.1611 | −2.13771 | ||||||||
\(716\) | − | 9.35057i | − | 0.349447i | ||||||
\(717\) | 5.19718 | + | 18.7615i | 0.194092 | + | 0.700661i | ||||
\(718\) | −11.5092 | −0.429521 | ||||||||
\(719\) | 19.3398 | 0.721253 | 0.360627 | − | 0.932710i | \(-0.382563\pi\) | ||||
0.360627 | + | 0.932710i | \(0.382563\pi\) | |||||||
\(720\) | −5.01687 | + | 3.01049i | −0.186968 | + | 0.112194i | ||||
\(721\) | −4.93128 | + | 1.15395i | −0.183650 | + | 0.0429752i | ||||
\(722\) | − | 46.4414i | − | 1.72837i | ||||||
\(723\) | 1.61259 | + | 5.82136i | 0.0599730 | + | 0.216499i | ||||
\(724\) | 13.1624i | 0.489178i | ||||||||
\(725\) | − | 2.79518i | − | 0.103810i | ||||||
\(726\) | 3.01569 | + | 10.8865i | 0.111923 | + | 0.404034i | ||||
\(727\) | 44.0259i | 1.63283i | 0.577465 | + | 0.816415i | \(0.304042\pi\) | ||||
−0.577465 | + | 0.816415i | \(0.695958\pi\) | |||||||
\(728\) | 4.22097 | + | 18.0379i | 0.156440 | + | 0.668529i | ||||
\(729\) | −1.36625 | − | 26.9654i | −0.0506018 | − | 0.998719i | ||||
\(730\) | 21.7862 | 0.806345 | ||||||||
\(731\) | 30.4916 | 1.12777 | ||||||||
\(732\) | 4.24614 | + | 15.3283i | 0.156942 | + | 0.566551i | ||||
\(733\) | − | 7.09779i | − | 0.262163i | −0.991372 | − | 0.131082i | \(-0.958155\pi\) | ||
0.991372 | − | 0.131082i | \(-0.0418450\pi\) | |||||||
\(734\) | 8.53645 | 0.315086 | ||||||||
\(735\) | −17.6206 | + | 15.7682i | −0.649947 | + | 0.581620i | ||||
\(736\) | 1.00000 | 0.0368605 | ||||||||
\(737\) | 32.1791i | 1.18533i | ||||||||
\(738\) | −13.6140 | − | 22.6872i | −0.501138 | − | 0.835127i | ||||
\(739\) | −2.54034 | −0.0934479 | −0.0467239 | − | 0.998908i | \(-0.514878\pi\) | ||||
−0.0467239 | + | 0.998908i | \(0.514878\pi\) | |||||||
\(740\) | −0.633498 | −0.0232878 | ||||||||
\(741\) | −94.5466 | + | 26.1906i | −3.47326 | + | 0.962137i | ||||
\(742\) | 3.40713 | + | 14.5600i | 0.125080 | + | 0.534516i | ||||
\(743\) | 24.3821i | 0.894493i | 0.894411 | + | 0.447247i | \(0.147595\pi\) | ||||
−0.894411 | + | 0.447247i | \(0.852405\pi\) | |||||||
\(744\) | −0.395700 | + | 0.109614i | −0.0145071 | + | 0.00401865i | ||||
\(745\) | − | 26.6248i | − | 0.975458i | ||||||
\(746\) | − | 31.5142i | − | 1.15382i | ||||||
\(747\) | −46.0895 | + | 27.6571i | −1.68633 | + | 1.01192i | ||||
\(748\) | − | 14.9410i | − | 0.546296i | ||||||
\(749\) | 35.4911 | − | 8.30511i | 1.29682 | − | 0.303462i | ||||
\(750\) | −5.58783 | − | 20.1717i | −0.204039 | − | 0.736568i | ||||
\(751\) | 20.8040 | 0.759147 | 0.379574 | − | 0.925162i | \(-0.376071\pi\) | ||||
0.379574 | + | 0.925162i | \(0.376071\pi\) | |||||||
\(752\) | 0.174840 | 0.00637575 | ||||||||
\(753\) | 0.883153 | − | 0.244645i | 0.0321839 | − | 0.00891535i | ||||
\(754\) | 16.3581i | 0.595728i | ||||||||
\(755\) | −5.45963 | −0.198696 | ||||||||
\(756\) | −11.8601 | − | 6.95251i | −0.431349 | − | 0.252860i | ||||
\(757\) | 32.9030 | 1.19588 | 0.597941 | − | 0.801540i | \(-0.295986\pi\) | ||||
0.597941 | + | 0.801540i | \(0.295986\pi\) | |||||||
\(758\) | − | 15.0834i | − | 0.547852i | ||||||
\(759\) | −6.98711 | + | 1.93552i | −0.253616 | + | 0.0702549i | ||||
\(760\) | −15.7769 | −0.572288 | ||||||||
\(761\) | 1.08183 | 0.0392163 | 0.0196081 | − | 0.999808i | \(-0.493758\pi\) | ||||
0.0196081 | + | 0.999808i | \(0.493758\pi\) | |||||||
\(762\) | −2.23266 | − | 8.05975i | −0.0808806 | − | 0.291974i | ||||
\(763\) | 2.56869 | + | 10.9771i | 0.0929929 | + | 0.397396i | ||||
\(764\) | 20.9301i | 0.757225i | ||||||||
\(765\) | −17.9069 | + | 10.7454i | −0.647425 | + | 0.388502i | ||||
\(766\) | − | 5.99148i | − | 0.216481i | ||||||
\(767\) | − | 54.1998i | − | 1.95704i | ||||||
\(768\) | −1.66919 | + | 0.462387i | −0.0602317 | + | 0.0166850i | ||||
\(769\) | − | 7.09476i | − | 0.255844i | −0.991784 | − | 0.127922i | \(-0.959169\pi\) | ||
0.991784 | − | 0.127922i | \(-0.0408307\pi\) | |||||||
\(770\) | −4.92137 | − | 21.0310i | −0.177354 | − | 0.757904i | ||||
\(771\) | −14.7295 | + | 4.08026i | −0.530470 | + | 0.146947i | ||||
\(772\) | 2.02912 | 0.0730296 | ||||||||
\(773\) | −4.10143 | −0.147518 | −0.0737590 | − | 0.997276i | \(-0.523500\pi\) | ||||
−0.0737590 | + | 0.997276i | \(0.523500\pi\) | |||||||
\(774\) | 13.1867 | + | 21.9751i | 0.473985 | + | 0.789879i | ||||
\(775\) | − | 0.283629i | − | 0.0101882i | ||||||
\(776\) | 16.7148 | 0.600027 | ||||||||
\(777\) | −0.713781 | − | 1.30624i | −0.0256067 | − | 0.0468610i | ||||
\(778\) | 1.08008 | 0.0387228 | ||||||||
\(779\) | − | 71.3460i | − | 2.55623i | ||||||
\(780\) | 6.31415 | + | 22.7937i | 0.226083 | + | 0.816146i | ||||
\(781\) | −22.7024 | −0.812356 | ||||||||
\(782\) | 3.56933 | 0.127639 | ||||||||
\(783\) | −8.79844 | − | 8.36394i | −0.314431 | − | 0.298903i | ||||
\(784\) | −6.27318 | + | 3.10600i | −0.224042 | + | 0.110928i | ||||
\(785\) | − | 17.6057i | − | 0.628374i | ||||||
\(786\) | −8.66390 | − | 31.2762i | −0.309031 | − | 1.11558i | ||||
\(787\) | 6.51757i | 0.232326i | 0.993230 | + | 0.116163i | \(0.0370595\pi\) | ||||
−0.993230 | + | 0.116163i | \(0.962940\pi\) | |||||||
\(788\) | 17.2251i | 0.613620i | ||||||||
\(789\) | −11.0359 | − | 39.8389i | −0.392888 | − | 1.41830i | ||||
\(790\) | − | 23.8615i | − | 0.848955i | ||||||
\(791\) | −24.4774 | + | 5.72785i | −0.870317 | + | 0.203659i | ||||
\(792\) | 10.7679 | − | 6.46151i | 0.382619 | − | 0.229600i | ||||
\(793\) | 64.2987 | 2.28332 | ||||||||
\(794\) | −19.0645 | −0.676573 | ||||||||
\(795\) | 5.09673 | + | 18.3989i | 0.180762 | + | 0.652541i | ||||
\(796\) | − | 10.9423i | − | 0.387841i | ||||||
\(797\) | 18.9228 | 0.670280 | 0.335140 | − | 0.942168i | \(-0.391216\pi\) | ||||
0.335140 | + | 0.942168i | \(0.391216\pi\) | |||||||
\(798\) | −17.7763 | − | 32.5311i | −0.629274 | − | 1.15159i | ||||
\(799\) | 0.624062 | 0.0220777 | ||||||||
\(800\) | − | 1.19644i | − | 0.0423004i | ||||||
\(801\) | 3.13304 | − | 1.88005i | 0.110700 | − | 0.0664284i | ||||
\(802\) | 3.58379 | 0.126548 | ||||||||
\(803\) | −46.7605 | −1.65014 | ||||||||
\(804\) | 12.8318 | − | 3.55458i | 0.452543 | − | 0.125360i | ||||
\(805\) | 5.02421 | − | 1.17569i | 0.177080 | − | 0.0414377i | ||||
\(806\) | 1.65987i | 0.0584664i | ||||||||
\(807\) | −0.989455 | + | 0.274092i | −0.0348304 | + | 0.00964848i | ||||
\(808\) | − | 10.8858i | − | 0.382962i | ||||||
\(809\) | − | 13.4432i | − | 0.472638i | −0.971676 | − | 0.236319i | \(-0.924059\pi\) | ||
0.971676 | − | 0.236319i | \(-0.0759411\pi\) | |||||||
\(810\) | −15.4883 | − | 8.25831i | −0.544205 | − | 0.290168i | ||||
\(811\) | − | 47.7213i | − | 1.67572i | −0.545883 | − | 0.837861i | \(-0.683806\pi\) | ||
0.545883 | − | 0.837861i | \(-0.316194\pi\) | |||||||
\(812\) | −6.01855 | + | 1.40837i | −0.211210 | + | 0.0494243i | ||||
\(813\) | −1.32443 | − | 4.78112i | −0.0464499 | − | 0.167681i | ||||
\(814\) | 1.35969 | 0.0476573 | ||||||||
\(815\) | −2.97388 | −0.104170 | ||||||||
\(816\) | −5.95790 | + | 1.65041i | −0.208568 | + | 0.0577760i | ||||
\(817\) | 69.1065i | 2.41773i | ||||||||
\(818\) | −3.95955 | −0.138443 | ||||||||
\(819\) | −39.8850 | + | 38.7018i | −1.39370 | + | 1.35235i | ||||
\(820\) | −17.2004 | −0.600664 | ||||||||
\(821\) | 48.4833i | 1.69208i | 0.533119 | + | 0.846040i | \(0.321020\pi\) | ||||
−0.533119 | + | 0.846040i | \(0.678980\pi\) | |||||||
\(822\) | −11.3640 | + | 3.14796i | −0.396363 | + | 0.109798i | ||||
\(823\) | 2.23643 | 0.0779570 | 0.0389785 | − | 0.999240i | \(-0.487590\pi\) | ||||
0.0389785 | + | 0.999240i | \(0.487590\pi\) | |||||||
\(824\) | −1.91420 | −0.0666842 | ||||||||
\(825\) | 2.31573 | + | 8.35964i | 0.0806233 | + | 0.291045i | ||||
\(826\) | 19.9414 | − | 4.66640i | 0.693851 | − | 0.162365i | ||||
\(827\) | − | 33.5211i | − | 1.16564i | −0.812600 | − | 0.582822i | \(-0.801949\pi\) | ||
0.812600 | − | 0.582822i | \(-0.198051\pi\) | |||||||
\(828\) | 1.54363 | + | 2.57240i | 0.0536447 | + | 0.0893969i | ||||
\(829\) | 34.7676i | 1.20753i | 0.797163 | + | 0.603764i | \(0.206333\pi\) | ||||
−0.797163 | + | 0.603764i | \(0.793667\pi\) | |||||||
\(830\) | 34.9429i | 1.21289i | ||||||||
\(831\) | 23.3144 | − | 6.45838i | 0.808767 | − | 0.224039i | ||||
\(832\) | 7.00187i | 0.242746i | ||||||||
\(833\) | −22.3911 | + | 11.0863i | −0.775804 | + | 0.384119i | ||||
\(834\) | 21.6661 | − | 6.00179i | 0.750236 | − | 0.207825i | ||||
\(835\) | 15.5370 | 0.537680 | ||||||||
\(836\) | 33.8624 | 1.17116 | ||||||||
\(837\) | −0.892784 | − | 0.848695i | −0.0308591 | − | 0.0293352i | ||||
\(838\) | 13.2658i | 0.458260i | ||||||||
\(839\) | 48.1415 | 1.66203 | 0.831015 | − | 0.556249i | \(-0.187760\pi\) | ||||
0.831015 | + | 0.556249i | \(0.187760\pi\) | |||||||
\(840\) | −7.84274 | + | 4.28559i | −0.270600 | + | 0.147867i | ||||
\(841\) | 23.5419 | 0.811791 | ||||||||
\(842\) | 21.2102i | 0.730952i | ||||||||
\(843\) | 7.76672 | + | 28.0374i | 0.267500 | + | 0.965659i | ||||
\(844\) | −16.5236 | −0.568765 | ||||||||
\(845\) | 70.2607 | 2.41704 | ||||||||
\(846\) | 0.269887 | + | 0.449757i | 0.00927892 | + | 0.0154630i | ||||
\(847\) | 3.93169 | + | 16.8017i | 0.135094 | + | 0.577313i | ||||
\(848\) | 5.65184i | 0.194085i | ||||||||
\(849\) | −8.01831 | − | 28.9456i | −0.275188 | − | 0.993412i | ||||
\(850\) | − | 4.27048i | − | 0.146476i | ||||||
\(851\) | 0.324825i | 0.0111349i | ||||||||
\(852\) | 2.50776 | + | 9.05286i | 0.0859144 | + | 0.310146i | ||||
\(853\) | − | 8.65410i | − | 0.296311i | −0.988964 | − | 0.148155i | \(-0.952666\pi\) | ||
0.988964 | − | 0.148155i | \(-0.0473336\pi\) | |||||||
\(854\) | 5.53589 | + | 23.6571i | 0.189434 | + | 0.809529i | ||||
\(855\) | −24.3536 | − | 40.5844i | −0.832876 | − | 1.38796i | ||||
\(856\) | 13.7767 | 0.470880 | ||||||||
\(857\) | −46.3184 | −1.58221 | −0.791103 | − | 0.611682i | \(-0.790493\pi\) | ||||
−0.791103 | + | 0.611682i | \(0.790493\pi\) | |||||||
\(858\) | −13.5523 | − | 48.9228i | −0.462666 | − | 1.67020i | ||||
\(859\) | 6.15224i | 0.209912i | 0.994477 | + | 0.104956i | \(0.0334701\pi\) | ||||
−0.994477 | + | 0.104956i | \(0.966530\pi\) | |||||||
\(860\) | 16.6605 | 0.568119 | ||||||||
\(861\) | −19.3802 | − | 35.4663i | −0.660475 | − | 1.20869i | ||||
\(862\) | 8.01994 | 0.273160 | ||||||||
\(863\) | − | 56.0948i | − | 1.90949i | −0.297427 | − | 0.954745i | \(-0.596128\pi\) | ||
0.297427 | − | 0.954745i | \(-0.403872\pi\) | |||||||
\(864\) | −3.76605 | − | 3.58007i | −0.128124 | − | 0.121796i | ||||
\(865\) | −9.73759 | −0.331088 | ||||||||
\(866\) | 20.1632 | 0.685173 | ||||||||
\(867\) | 7.11054 | − | 1.96971i | 0.241487 | − | 0.0668949i | ||||
\(868\) | −0.610707 | + | 0.142909i | −0.0207287 | + | 0.00485064i | ||||
\(869\) | 51.2147i | 1.73734i | ||||||||
\(870\) | −7.60538 | + | 2.10679i | −0.257847 | + | 0.0714268i | ||||
\(871\) | − | 53.8265i | − | 1.82384i | ||||||
\(872\) | 4.26102i | 0.144296i | ||||||||
\(873\) | 25.8014 | + | 42.9972i | 0.873246 | + | 1.45523i | ||||
\(874\) | 8.08958i | 0.273634i | ||||||||
\(875\) | −7.28511 | − | 31.1322i | −0.246282 | − | 1.05246i | ||||
\(876\) | 5.16527 | + | 18.6463i | 0.174518 | + | 0.630001i | ||||
\(877\) | 9.97333 | 0.336775 | 0.168388 | − | 0.985721i | \(-0.446144\pi\) | ||||
0.168388 | + | 0.985721i | \(0.446144\pi\) | |||||||
\(878\) | −39.5350 | −1.33424 | ||||||||
\(879\) | −15.9422 | + | 4.41619i | −0.537716 | + | 0.148954i | ||||
\(880\) | − | 8.16370i | − | 0.275198i | ||||||
\(881\) | 51.3620 | 1.73043 | 0.865215 | − | 0.501401i | \(-0.167182\pi\) | ||||
0.865215 | + | 0.501401i | \(0.167182\pi\) | |||||||
\(882\) | −17.6733 | − | 11.3426i | −0.595091 | − | 0.381925i | ||||
\(883\) | −10.5576 | −0.355292 | −0.177646 | − | 0.984094i | \(-0.556848\pi\) | ||||
−0.177646 | + | 0.984094i | \(0.556848\pi\) | |||||||
\(884\) | 24.9920i | 0.840571i | ||||||||
\(885\) | 25.1991 | − | 6.98048i | 0.847058 | − | 0.234646i | ||||
\(886\) | −18.1483 | −0.609705 | ||||||||
\(887\) | 39.3772 | 1.32216 | 0.661078 | − | 0.750317i | \(-0.270099\pi\) | ||||
0.661078 | + | 0.750317i | \(0.270099\pi\) | |||||||
\(888\) | −0.150195 | − | 0.542195i | −0.00504022 | − | 0.0181949i | ||||
\(889\) | −2.91081 | − | 12.4391i | −0.0976255 | − | 0.417193i | ||||
\(890\) | − | 2.37533i | − | 0.0796211i | ||||||
\(891\) | 33.2431 | + | 17.7251i | 1.11369 | + | 0.593812i | ||||
\(892\) | − | 6.83216i | − | 0.228758i | ||||||
\(893\) | 1.41438i | 0.0473305i | ||||||||
\(894\) | 22.7875 | − | 6.31244i | 0.762129 | − | 0.211120i | ||||
\(895\) | − | 18.2362i | − | 0.609568i | ||||||
\(896\) | −2.57616 | + | 0.602835i | −0.0860634 | + | 0.0201393i | ||||
\(897\) | 11.6874 | − | 3.23757i | 0.390233 | − | 0.108099i | ||||
\(898\) | −23.0015 | −0.767570 | ||||||||
\(899\) | −0.553835 | −0.0184714 | ||||||||
\(900\) | 3.07771 | − | 1.84685i | 0.102590 | − | 0.0615617i | ||||
\(901\) | 20.1733i | 0.672070i | ||||||||
\(902\) | 36.9177 | 1.22923 | ||||||||
\(903\) | 18.7719 | + | 34.3531i | 0.624689 | + | 1.14320i | ||||
\(904\) | −9.50152 | −0.316016 | ||||||||
\(905\) | 25.6703i | 0.853310i | ||||||||
\(906\) | −1.29442 | − | 4.67276i | −0.0430041 | − | 0.155242i | ||||
\(907\) | 39.3728 | 1.30735 | 0.653677 | − | 0.756774i | \(-0.273226\pi\) | ||||
0.653677 | + | 0.756774i | \(0.273226\pi\) | |||||||
\(908\) | 6.00651 | 0.199333 | ||||||||
\(909\) | 28.0027 | − | 16.8037i | 0.928790 | − | 0.557342i | ||||
\(910\) | 8.23204 | + | 35.1788i | 0.272890 | + | 1.16617i | ||||
\(911\) | − | 18.5776i | − | 0.615505i | −0.951467 | − | 0.307752i | \(-0.900423\pi\) | ||
0.951467 | − | 0.307752i | \(-0.0995768\pi\) | |||||||
\(912\) | −3.74052 | − | 13.5031i | −0.123861 | − | 0.447131i | ||||
\(913\) | − | 74.9991i | − | 2.48211i | ||||||
\(914\) | − | 5.70940i | − | 0.188850i | ||||||
\(915\) | 8.28114 | + | 29.8944i | 0.273766 | + | 0.988279i | ||||
\(916\) | 10.3531i | 0.342075i | ||||||||
\(917\) | −11.2955 | − | 48.2703i | −0.373011 | − | 1.59403i | ||||
\(918\) | −13.4423 | − | 12.7784i | −0.443661 | − | 0.421751i | ||||
\(919\) | 19.5243 | 0.644047 | 0.322024 | − | 0.946732i | \(-0.395637\pi\) | ||||
0.322024 | + | 0.946732i | \(0.395637\pi\) | |||||||
\(920\) | 1.95027 | 0.0642986 | ||||||||
\(921\) | 9.02801 | + | 32.5906i | 0.297483 | + | 1.07390i | ||||
\(922\) | − | 21.1482i | − | 0.696478i | ||||||
\(923\) | 37.9746 | 1.24995 | ||||||||
\(924\) | 16.8331 | − | 9.19828i | 0.553769 | − | 0.302601i | ||||
\(925\) | 0.388633 | 0.0127782 | ||||||||
\(926\) | − | 3.64251i | − | 0.119700i | ||||||
\(927\) | −2.95480 | − | 4.92407i | −0.0970485 | − | 0.161728i | ||||
\(928\) | −2.33625 | −0.0766912 | ||||||||
\(929\) | −3.45050 | −0.113207 | −0.0566036 | − | 0.998397i | \(-0.518027\pi\) | ||||
−0.0566036 | + | 0.998397i | \(0.518027\pi\) | |||||||
\(930\) | −0.771723 | + | 0.213777i | −0.0253058 | + | 0.00701003i | ||||
\(931\) | −25.1262 | − | 50.7474i | −0.823479 | − | 1.66318i | ||||
\(932\) | − | 9.24182i | − | 0.302726i | ||||||
\(933\) | 33.4971 | − | 9.27914i | 1.09665 | − | 0.303785i | ||||
\(934\) | − | 7.13820i | − | 0.233569i | ||||||
\(935\) | − | 29.1390i | − | 0.952946i | ||||||
\(936\) | −18.0116 | + | 10.8083i | −0.588727 | + | 0.353279i | ||||
\(937\) | 9.13499i | 0.298427i | 0.988805 | + | 0.149214i | \(0.0476742\pi\) | ||||
−0.988805 | + | 0.149214i | \(0.952326\pi\) | |||||||
\(938\) | 19.8041 | − | 4.63426i | 0.646626 | − | 0.151314i | ||||
\(939\) | 7.56787 | + | 27.3195i | 0.246968 | + | 0.891540i | ||||
\(940\) | 0.340985 | 0.0111217 | ||||||||
\(941\) | 48.2892 | 1.57418 | 0.787091 | − | 0.616837i | \(-0.211586\pi\) | ||||
0.787091 | + | 0.616837i | \(0.211586\pi\) | |||||||
\(942\) | 15.0683 | − | 4.17411i | 0.490951 | − | 0.136000i | ||||
\(943\) | 8.81948i | 0.287202i | ||||||||
\(944\) | 7.74076 | 0.251940 | ||||||||
\(945\) | −23.1305 | − | 13.5593i | −0.752435 | − | 0.441084i | ||||
\(946\) | −35.7590 | −1.16262 | ||||||||
\(947\) | 28.3766i | 0.922117i | 0.887370 | + | 0.461058i | \(0.152530\pi\) | ||||
−0.887370 | + | 0.461058i | \(0.847470\pi\) | |||||||
\(948\) | 20.4225 | − | 5.65730i | 0.663292 | − | 0.183740i | ||||
\(949\) | 78.2169 | 2.53903 | ||||||||
\(950\) | 9.67868 | 0.314018 | ||||||||
\(951\) | −3.76675 | − | 13.5977i | −0.122145 | − | 0.440937i | ||||
\(952\) | −9.19516 | + | 2.15172i | −0.298017 | + | 0.0697376i | ||||
\(953\) | − | 53.1134i | − | 1.72051i | −0.509862 | − | 0.860256i | \(-0.670304\pi\) | ||
0.509862 | − | 0.860256i | \(-0.329696\pi\) | |||||||
\(954\) | −14.5388 | + | 8.72433i | −0.470710 | + | 0.282461i | ||||
\(955\) | 40.8194i | 1.32089i | ||||||||
\(956\) | 11.2399i | 0.363524i | ||||||||
\(957\) | 16.3237 | − | 4.52186i | 0.527669 | − | 0.146171i | ||||
\(958\) | − | 25.8976i | − | 0.836713i | ||||||
\(959\) | −17.5386 | + | 4.10414i | −0.566352 | + | 0.132530i | ||||
\(960\) | −3.25538 | + | 0.901781i | −0.105067 | + | 0.0291049i | ||||
\(961\) | 30.9438 | 0.998187 | ||||||||
\(962\) | −2.27438 | −0.0733290 | ||||||||
\(963\) | 21.2661 | + | 35.4392i | 0.685292 | + | 1.14201i | ||||
\(964\) | 3.48754i | 0.112326i | ||||||||
\(965\) | 3.95734 | 0.127391 | ||||||||
\(966\) | 2.19743 | + | 4.02136i | 0.0707011 | + | 0.129385i | ||||
\(967\) | −58.3617 | −1.87679 | −0.938393 | − | 0.345569i | \(-0.887686\pi\) | ||||
−0.938393 | + | 0.345569i | \(0.887686\pi\) | |||||||
\(968\) | 6.52200i | 0.209625i | ||||||||
\(969\) | −13.3512 | − | 48.1969i | −0.428901 | − | 1.54831i | ||||
\(970\) | 32.5985 | 1.04667 | ||||||||
\(971\) | −28.5530 | −0.916311 | −0.458155 | − | 0.888872i | \(-0.651490\pi\) | ||||
−0.458155 | + | 0.888872i | \(0.651490\pi\) | |||||||
\(972\) | 3.39598 | − | 15.2141i | 0.108926 | − | 0.487991i | ||||
\(973\) | 33.4386 | − | 7.82481i | 1.07199 | − | 0.250852i | ||||
\(974\) | − | 19.2742i | − | 0.617584i | ||||||
\(975\) | −3.87355 | − | 13.9833i | −0.124053 | − | 0.447824i | ||||
\(976\) | 9.18309i | 0.293943i | ||||||||
\(977\) | − | 34.3488i | − | 1.09891i | −0.835522 | − | 0.549457i | \(-0.814835\pi\) | ||
0.835522 | − | 0.549457i | \(-0.185165\pi\) | |||||||
\(978\) | −0.705072 | − | 2.54527i | −0.0225457 | − | 0.0813887i | ||||
\(979\) | 5.09823i | 0.162940i | ||||||||
\(980\) | −12.2344 | + | 6.05754i | −0.390814 | + | 0.193501i | ||||
\(981\) | −10.9610 | + | 6.57742i | −0.349959 | + | 0.210001i | ||||
\(982\) | −31.9607 | −1.01991 | ||||||||
\(983\) | −40.2620 | −1.28416 | −0.642080 | − | 0.766638i | \(-0.721928\pi\) | ||||
−0.642080 | + | 0.766638i | \(0.721928\pi\) | |||||||
\(984\) | −4.07802 | − | 14.7214i | −0.130002 | − | 0.469301i | ||||
\(985\) | 33.5937i | 1.07038i | ||||||||
\(986\) | −8.33886 | −0.265563 | ||||||||
\(987\) | 0.384198 | + | 0.703093i | 0.0122292 | + | 0.0223797i | ||||
\(988\) | −56.6422 | −1.80203 | ||||||||
\(989\) | − | 8.54266i | − | 0.271641i | ||||||
\(990\) | 21.0003 | − | 12.6017i | 0.667432 | − | 0.400508i | ||||
\(991\) | −13.7559 | −0.436972 | −0.218486 | − | 0.975840i | \(-0.570112\pi\) | ||||
−0.218486 | + | 0.975840i | \(0.570112\pi\) | |||||||
\(992\) | −0.237061 | −0.00752670 | ||||||||
\(993\) | 44.1719 | − | 12.2362i | 1.40175 | − | 0.388304i | ||||
\(994\) | 3.26948 | + | 13.9718i | 0.103702 | + | 0.443159i | ||||
\(995\) | − | 21.3406i | − | 0.676541i | ||||||
\(996\) | −29.9068 | + | 8.28458i | −0.947634 | + | 0.262507i | ||||
\(997\) | − | 36.9900i | − | 1.17148i | −0.810497 | − | 0.585742i | \(-0.800803\pi\) | ||
0.810497 | − | 0.585742i | \(-0.199197\pi\) | |||||||
\(998\) | − | 36.6266i | − | 1.15939i | ||||||
\(999\) | 1.16290 | − | 1.22331i | 0.0367924 | − | 0.0387037i |
(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 | 966.2.f.b.461.14 | yes | 24 | |
3.2 | odd | 2 | inner | 966.2.f.b.461.11 | yes | 24 | |
7.6 | odd | 2 | inner | 966.2.f.b.461.23 | yes | 24 | |
21.20 | even | 2 | inner | 966.2.f.b.461.2 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.f.b.461.2 | ✓ | 24 | 21.20 | even | 2 | inner | |
966.2.f.b.461.11 | yes | 24 | 3.2 | odd | 2 | inner | |
966.2.f.b.461.14 | yes | 24 | 1.1 | even | 1 | trivial | |
966.2.f.b.461.23 | yes | 24 | 7.6 | odd | 2 | inner |