Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(91,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.n (of order \(5\), degree \(4\), 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: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 5 x^{14} - 8 x^{13} + 47 x^{12} + 32 x^{11} + 171 x^{10} + 26 x^{9} + 360 x^{8} - 172 x^{7} + 471 x^{6} - 430 x^{5} + 383 x^{4} + 70 x^{3} + 17 x^{2} + 4 x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 91.3 | ||
Root | \(-0.458960 + 1.41253i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.91 |
Dual form | 495.2.n.g.136.3 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.392557 | − | 0.285209i | 0.277580 | − | 0.201673i | −0.440281 | − | 0.897860i | \(-0.645121\pi\) |
0.717861 | + | 0.696186i | \(0.245121\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.545277 | + | 1.67819i | −0.272639 | + | 0.839096i | ||||
\(5\) | −0.809017 | − | 0.587785i | −0.361803 | − | 0.262866i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.500445 | + | 1.54021i | −0.189150 | + | 0.582145i | −0.999995 | − | 0.00311638i | \(-0.999008\pi\) |
0.810845 | + | 0.585261i | \(0.199008\pi\) | |||||||
\(8\) | 0.564470 | + | 1.73726i | 0.199570 | + | 0.614214i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.485227 | −0.153442 | ||||||||
\(11\) | −3.27586 | − | 0.518382i | −0.987710 | − | 0.156298i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.01105 | + | 2.91420i | −1.11247 | + | 0.808254i | −0.983050 | − | 0.183337i | \(-0.941310\pi\) |
−0.129415 | + | 0.991590i | \(0.541310\pi\) | |||||||
\(14\) | 0.242829 | + | 0.747352i | 0.0648989 | + | 0.199738i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.13804 | − | 1.55338i | −0.534510 | − | 0.388344i | ||||
\(17\) | −2.53923 | − | 1.84486i | −0.615854 | − | 0.447444i | 0.235617 | − | 0.971846i | \(-0.424289\pi\) |
−0.851471 | + | 0.524402i | \(0.824289\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.339378 | + | 1.04450i | 0.0778586 | + | 0.239624i | 0.982409 | − | 0.186743i | \(-0.0597931\pi\) |
−0.904550 | + | 0.426367i | \(0.859793\pi\) | |||||||
\(20\) | 1.42755 | − | 1.03718i | 0.319211 | − | 0.231920i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.43381 | + | 0.730812i | −0.305689 | + | 0.155810i | ||||
\(23\) | 6.75778 | 1.40909 | 0.704547 | − | 0.709657i | \(-0.251150\pi\) | ||||
0.704547 | + | 0.709657i | \(0.251150\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.309017 | + | 0.951057i | 0.0618034 | + | 0.190211i | ||||
\(26\) | −0.743409 | + | 2.28798i | −0.145795 | + | 0.448710i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.31189 | − | 1.67968i | −0.436905 | − | 0.317430i | ||||
\(29\) | −1.09732 | + | 3.37719i | −0.203766 | + | 0.627129i | 0.795995 | + | 0.605303i | \(0.206948\pi\) |
−0.999762 | + | 0.0218260i | \(0.993052\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.90648 | + | 5.01785i | −1.24044 | + | 0.901232i | −0.997628 | − | 0.0688408i | \(-0.978070\pi\) |
−0.242812 | + | 0.970073i | \(0.578070\pi\) | |||||||
\(32\) | −4.93567 | −0.872511 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.52296 | −0.261186 | ||||||||
\(35\) | 1.31018 | − | 0.951902i | 0.221461 | − | 0.160901i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.65626 | + | 5.09743i | −0.272287 | + | 0.838013i | 0.717638 | + | 0.696417i | \(0.245223\pi\) |
−0.989924 | + | 0.141596i | \(0.954777\pi\) | |||||||
\(38\) | 0.431126 | + | 0.313231i | 0.0699378 | + | 0.0508128i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.564470 | − | 1.73726i | 0.0892506 | − | 0.274685i | ||||
\(41\) | 1.64408 | + | 5.05997i | 0.256763 | + | 0.790234i | 0.993477 | + | 0.114030i | \(0.0363761\pi\) |
−0.736715 | + | 0.676204i | \(0.763624\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.41085 | 0.520150 | 0.260075 | − | 0.965588i | \(-0.416253\pi\) | ||||
0.260075 | + | 0.965588i | \(0.416253\pi\) | |||||||
\(44\) | 2.65620 | − | 5.21486i | 0.400437 | − | 0.786170i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.65281 | − | 1.92738i | 0.391136 | − | 0.284177i | ||||
\(47\) | −2.04000 | − | 6.27846i | −0.297564 | − | 0.915808i | −0.982348 | − | 0.187062i | \(-0.940104\pi\) |
0.684784 | − | 0.728746i | \(-0.259896\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.54132 | + | 2.57292i | 0.505902 | + | 0.367560i | ||||
\(50\) | 0.392557 | + | 0.285209i | 0.0555159 | + | 0.0403347i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.70345 | − | 8.32036i | −0.374901 | − | 1.15383i | ||||
\(53\) | 7.86059 | − | 5.71105i | 1.07973 | − | 0.784473i | 0.102098 | − | 0.994774i | \(-0.467444\pi\) |
0.977637 | + | 0.210301i | \(0.0674444\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.34553 | + | 2.34488i | 0.316271 | + | 0.316184i | ||||
\(56\) | −2.95823 | −0.395310 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.532447 | + | 1.63870i | 0.0699138 | + | 0.215172i | ||||
\(59\) | −2.22043 | + | 6.83377i | −0.289075 | + | 0.889681i | 0.696073 | + | 0.717971i | \(0.254929\pi\) |
−0.985148 | + | 0.171710i | \(0.945071\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.36780 | + | 3.89994i | 0.687277 | + | 0.499336i | 0.875764 | − | 0.482740i | \(-0.160358\pi\) |
−0.188487 | + | 0.982076i | \(0.560358\pi\) | |||||||
\(62\) | −1.28005 | + | 3.93958i | −0.162566 | + | 0.500328i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.33855 | − | 1.69906i | 0.292319 | − | 0.212382i | ||||
\(65\) | 4.95793 | 0.614956 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.36043 | 0.288373 | 0.144186 | − | 0.989551i | \(-0.453944\pi\) | ||||
0.144186 | + | 0.989551i | \(0.453944\pi\) | |||||||
\(68\) | 4.48061 | − | 3.25536i | 0.543354 | − | 0.394770i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.242829 | − | 0.747352i | 0.0290237 | − | 0.0893256i | ||||
\(71\) | −13.4749 | − | 9.79011i | −1.59918 | − | 1.16187i | −0.889058 | − | 0.457794i | \(-0.848640\pi\) |
−0.710122 | − | 0.704078i | \(-0.751360\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.62525 | − | 8.07968i | 0.307262 | − | 0.945655i | −0.671562 | − | 0.740949i | \(-0.734376\pi\) |
0.978823 | − | 0.204706i | \(-0.0656239\pi\) | |||||||
\(74\) | 0.803661 | + | 2.47341i | 0.0934237 | + | 0.287528i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.93792 | −0.222295 | ||||||||
\(77\) | 2.43781 | − | 4.78610i | 0.277814 | − | 0.545426i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.61147 | − | 1.17080i | 0.181305 | − | 0.131726i | −0.493431 | − | 0.869785i | \(-0.664258\pi\) |
0.674736 | + | 0.738059i | \(0.264258\pi\) | |||||||
\(80\) | 0.816659 | + | 2.51342i | 0.0913052 | + | 0.281009i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.08855 | + | 1.51742i | 0.230641 | + | 0.167571i | ||||
\(83\) | 7.72554 | + | 5.61293i | 0.847988 | + | 0.616099i | 0.924590 | − | 0.380962i | \(-0.124407\pi\) |
−0.0766027 | + | 0.997062i | \(0.524407\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.969900 | + | 2.98505i | 0.105200 | + | 0.323774i | ||||
\(86\) | 1.33895 | − | 0.972807i | 0.144383 | − | 0.104900i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.948562 | − | 5.98364i | −0.101117 | − | 0.637858i | ||||
\(89\) | 2.65371 | 0.281293 | 0.140647 | − | 0.990060i | \(-0.455082\pi\) | ||||
0.140647 | + | 0.990060i | \(0.455082\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.48117 | − | 7.63626i | −0.260097 | − | 0.800497i | ||||
\(92\) | −3.68486 | + | 11.3408i | −0.384174 | + | 1.18236i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.59149 | − | 1.88283i | −0.267292 | − | 0.194199i | ||||
\(95\) | 0.339378 | − | 1.04450i | 0.0348194 | − | 0.107163i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.7501 | − | 8.53692i | 1.19304 | − | 0.866793i | 0.199456 | − | 0.979907i | \(-0.436082\pi\) |
0.993582 | + | 0.113114i | \(0.0360824\pi\) | |||||||
\(98\) | 2.12399 | 0.214555 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.76455 | −0.176455 | ||||||||
\(101\) | −14.3137 | + | 10.3995i | −1.42427 | + | 1.03479i | −0.433220 | + | 0.901288i | \(0.642623\pi\) |
−0.991048 | + | 0.133504i | \(0.957377\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.52540 | + | 4.69471i | −0.150303 | + | 0.462584i | −0.997655 | − | 0.0684477i | \(-0.978195\pi\) |
0.847352 | + | 0.531031i | \(0.178195\pi\) | |||||||
\(104\) | −7.32684 | − | 5.32326i | −0.718456 | − | 0.521989i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.45688 | − | 4.48383i | 0.141505 | − | 0.435508i | ||||
\(107\) | 3.93919 | + | 12.1236i | 0.380816 | + | 1.17203i | 0.939470 | + | 0.342630i | \(0.111318\pi\) |
−0.558655 | + | 0.829400i | \(0.688682\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 15.5953 | 1.49376 | 0.746879 | − | 0.664960i | \(-0.231551\pi\) | ||||
0.746879 | + | 0.664960i | \(0.231551\pi\) | |||||||
\(110\) | 1.58954 | + | 0.251533i | 0.151556 | + | 0.0239827i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.46250 | − | 2.51565i | 0.327175 | − | 0.237707i | ||||
\(113\) | −1.74092 | − | 5.35799i | −0.163772 | − | 0.504038i | 0.835172 | − | 0.549989i | \(-0.185368\pi\) |
−0.998944 | + | 0.0459513i | \(0.985368\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.46716 | − | 3.97212i | −0.509815 | − | 0.370402i | ||||
\(116\) | −5.06923 | − | 3.68301i | −0.470666 | − | 0.341959i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.07741 | + | 3.31593i | 0.0991837 | + | 0.305256i | ||||
\(119\) | 4.11222 | − | 2.98770i | 0.376966 | − | 0.273882i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.4626 | + | 3.39630i | 0.951142 | + | 0.308755i | ||||
\(122\) | 3.21947 | 0.291477 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.65497 | − | 14.3265i | −0.418028 | − | 1.28656i | ||||
\(125\) | 0.309017 | − | 0.951057i | 0.0276393 | − | 0.0850651i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.95671 | − | 4.32780i | −0.528572 | − | 0.384030i | 0.291251 | − | 0.956647i | \(-0.405928\pi\) |
−0.819823 | + | 0.572616i | \(0.805928\pi\) | |||||||
\(128\) | 3.48384 | − | 10.7221i | 0.307931 | − | 0.947713i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.94627 | − | 1.41405i | 0.170699 | − | 0.124020i | ||||
\(131\) | −6.74024 | −0.588897 | −0.294449 | − | 0.955667i | \(-0.595136\pi\) | ||||
−0.294449 | + | 0.955667i | \(0.595136\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.77859 | −0.154223 | ||||||||
\(134\) | 0.926604 | − | 0.673217i | 0.0800464 | − | 0.0581571i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.77168 | − | 5.45268i | 0.151920 | − | 0.467563i | ||||
\(137\) | −5.11301 | − | 3.71482i | −0.436834 | − | 0.317379i | 0.347542 | − | 0.937665i | \(-0.387017\pi\) |
−0.784376 | + | 0.620286i | \(0.787017\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.35212 | + | 13.3945i | −0.369142 | + | 1.13610i | 0.578204 | + | 0.815892i | \(0.303754\pi\) |
−0.947346 | + | 0.320211i | \(0.896246\pi\) | |||||||
\(140\) | 0.883062 | + | 2.71779i | 0.0746324 | + | 0.229695i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −8.08191 | −0.678219 | ||||||||
\(143\) | 14.6503 | − | 7.46726i | 1.22512 | − | 0.624444i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.87281 | − | 2.08722i | 0.238574 | − | 0.173334i | ||||
\(146\) | −1.27384 | − | 3.92048i | −0.105424 | − | 0.324461i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.65135 | − | 5.55903i | −0.628937 | − | 0.456950i | ||||
\(149\) | −14.0344 | − | 10.1966i | −1.14975 | − | 0.835340i | −0.161299 | − | 0.986906i | \(-0.551568\pi\) |
−0.988447 | + | 0.151566i | \(0.951568\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.78565 | − | 8.57334i | −0.226693 | − | 0.697689i | −0.998115 | − | 0.0613655i | \(-0.980454\pi\) |
0.771423 | − | 0.636323i | \(-0.219546\pi\) | |||||||
\(152\) | −1.62300 | + | 1.17918i | −0.131642 | + | 0.0956438i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.408062 | − | 2.57410i | −0.0328825 | − | 0.207427i | ||||
\(155\) | 8.53688 | 0.685698 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.68855 | + | 11.3522i | 0.294378 | + | 0.906003i | 0.983430 | + | 0.181291i | \(0.0580275\pi\) |
−0.689051 | + | 0.724713i | \(0.741972\pi\) | |||||||
\(158\) | 0.298671 | − | 0.919214i | 0.0237610 | − | 0.0731287i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.99304 | + | 2.90111i | 0.315677 | + | 0.229353i | ||||
\(161\) | −3.38189 | + | 10.4084i | −0.266531 | + | 0.820297i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.88293 | − | 1.36803i | 0.147482 | − | 0.107152i | −0.511597 | − | 0.859225i | \(-0.670946\pi\) |
0.659080 | + | 0.752073i | \(0.270946\pi\) | |||||||
\(164\) | −9.38807 | −0.733085 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.63357 | 0.359635 | ||||||||
\(167\) | −7.94813 | + | 5.77465i | −0.615044 | + | 0.446856i | −0.851187 | − | 0.524862i | \(-0.824117\pi\) |
0.236143 | + | 0.971718i | \(0.424117\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.57876 | − | 11.0143i | 0.275289 | − | 0.847252i | ||||
\(170\) | 1.23210 | + | 0.895176i | 0.0944981 | + | 0.0686569i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.85986 | + | 5.72406i | −0.141813 | + | 0.436456i | ||||
\(173\) | 7.18156 | + | 22.1026i | 0.546004 | + | 1.68043i | 0.718592 | + | 0.695432i | \(0.244787\pi\) |
−0.172588 | + | 0.984994i | \(0.555213\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.61947 | −0.122421 | ||||||||
\(176\) | 6.19868 | + | 6.19697i | 0.467243 | + | 0.467114i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.04173 | − | 0.756864i | 0.0780812 | − | 0.0567293i | ||||
\(179\) | −0.116360 | − | 0.358121i | −0.00869719 | − | 0.0267672i | 0.946614 | − | 0.322370i | \(-0.104480\pi\) |
−0.955311 | + | 0.295603i | \(0.904480\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 6.13362 | + | 4.45634i | 0.455909 | + | 0.331237i | 0.791924 | − | 0.610619i | \(-0.209079\pi\) |
−0.336016 | + | 0.941856i | \(0.609079\pi\) | |||||||
\(182\) | −3.15193 | − | 2.29001i | −0.233637 | − | 0.169747i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.81456 | + | 11.7400i | 0.281213 | + | 0.865486i | ||||
\(185\) | 4.33614 | − | 3.15039i | 0.318799 | − | 0.231621i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 7.36183 | + | 7.35980i | 0.538351 | + | 0.538202i | ||||
\(188\) | 11.6488 | 0.849578 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.164675 | − | 0.506819i | −0.0119468 | − | 0.0367685i | ||||
\(191\) | 0.668717 | − | 2.05810i | 0.0483867 | − | 0.148919i | −0.923944 | − | 0.382528i | \(-0.875054\pi\) |
0.972331 | + | 0.233609i | \(0.0750536\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.0381 | + | 10.9258i | 1.08246 | + | 0.786455i | 0.978111 | − | 0.208085i | \(-0.0667230\pi\) |
0.104352 | + | 0.994540i | \(0.466723\pi\) | |||||||
\(194\) | 2.17776 | − | 6.70246i | 0.156354 | − | 0.481208i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.24885 | + | 4.54005i | −0.446346 | + | 0.324289i | ||||
\(197\) | −8.70640 | −0.620306 | −0.310153 | − | 0.950687i | \(-0.600380\pi\) | ||||
−0.310153 | + | 0.950687i | \(0.600380\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.9231 | −1.34142 | −0.670712 | − | 0.741718i | \(-0.734011\pi\) | ||||
−0.670712 | + | 0.741718i | \(0.734011\pi\) | |||||||
\(200\) | −1.47780 | + | 1.07369i | −0.104496 | + | 0.0759211i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.65291 | + | 8.16481i | −0.186658 | + | 0.574474i | ||||
\(203\) | −4.65244 | − | 3.38020i | −0.326537 | − | 0.237243i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.64408 | − | 5.05997i | 0.114828 | − | 0.353403i | ||||
\(206\) | 0.740168 | + | 2.27800i | 0.0515699 | + | 0.158716i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 13.1026 | 0.908505 | ||||||||
\(209\) | −0.570306 | − | 3.59756i | −0.0394489 | − | 0.248848i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −14.0382 | + | 10.1994i | −0.966431 | + | 0.702153i | −0.954635 | − | 0.297777i | \(-0.903755\pi\) |
−0.0117958 | + | 0.999930i | \(0.503755\pi\) | |||||||
\(212\) | 5.29804 | + | 16.3057i | 0.363871 | + | 1.11988i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.00411 | + | 3.63570i | 0.342074 | + | 0.248531i | ||||
\(215\) | −2.75944 | − | 2.00485i | −0.188192 | − | 0.136730i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.27223 | − | 13.1486i | −0.290018 | − | 0.892584i | ||||
\(218\) | 6.12204 | − | 4.44792i | 0.414637 | − | 0.301251i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.21413 | + | 2.65764i | −0.351537 | + | 0.179178i | ||||
\(221\) | 15.5613 | 1.04677 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.22209 | + | 6.83888i | 0.148802 | + | 0.457965i | 0.997480 | − | 0.0709441i | \(-0.0226012\pi\) |
−0.848678 | + | 0.528909i | \(0.822601\pi\) | |||||||
\(224\) | 2.47003 | − | 7.60197i | 0.165036 | − | 0.507928i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.21156 | − | 1.60679i | −0.147111 | − | 0.106882i | ||||
\(227\) | 8.43654 | − | 25.9650i | 0.559953 | − | 1.72336i | −0.122538 | − | 0.992464i | \(-0.539103\pi\) |
0.682491 | − | 0.730894i | \(-0.260897\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.0126 | + | 7.27460i | −0.661653 | + | 0.480719i | −0.867221 | − | 0.497924i | \(-0.834096\pi\) |
0.205568 | + | 0.978643i | \(0.434096\pi\) | |||||||
\(230\) | −3.27906 | −0.216215 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.48646 | −0.425857 | ||||||||
\(233\) | −11.7669 | + | 8.54918i | −0.770878 | + | 0.560075i | −0.902227 | − | 0.431261i | \(-0.858069\pi\) |
0.131350 | + | 0.991336i | \(0.458069\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.04000 | + | 6.27846i | −0.133075 | + | 0.409562i | ||||
\(236\) | −10.2576 | − | 7.45260i | −0.667715 | − | 0.485123i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.762160 | − | 2.34569i | 0.0494035 | − | 0.152048i | ||||
\(239\) | 8.93886 | + | 27.5110i | 0.578207 | + | 1.77954i | 0.624991 | + | 0.780632i | \(0.285103\pi\) |
−0.0467845 | + | 0.998905i | \(0.514897\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.40610 | −0.605900 | −0.302950 | − | 0.953006i | \(-0.597972\pi\) | ||||
−0.302950 | + | 0.953006i | \(0.597972\pi\) | |||||||
\(242\) | 5.07581 | − | 1.65078i | 0.326285 | − | 0.106116i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.47178 | + | 6.88165i | −0.606369 | + | 0.440553i | ||||
\(245\) | −1.35266 | − | 4.16307i | −0.0864184 | − | 0.265969i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.40514 | − | 3.20052i | −0.280292 | − | 0.203644i | ||||
\(248\) | −12.6158 | − | 9.16593i | −0.801105 | − | 0.582037i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.149943 | − | 0.461478i | −0.00948325 | − | 0.0291865i | ||||
\(251\) | −0.0263240 | + | 0.0191255i | −0.00166155 | + | 0.00120719i | −0.588616 | − | 0.808413i | \(-0.700327\pi\) |
0.586954 | + | 0.809620i | \(0.300327\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −22.1376 | − | 3.50311i | −1.39178 | − | 0.220239i | ||||
\(254\) | −3.57267 | −0.224170 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.0960403 | + | 0.295582i | 0.00600252 | + | 0.0184738i | ||||
\(257\) | 2.04470 | − | 6.29295i | 0.127545 | − | 0.392544i | −0.866811 | − | 0.498637i | \(-0.833834\pi\) |
0.994356 | + | 0.106093i | \(0.0338342\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.02226 | − | 5.10197i | −0.436342 | − | 0.317021i | ||||
\(260\) | −2.70345 | + | 8.32036i | −0.167661 | + | 0.516007i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.64593 | + | 1.92238i | −0.163466 | + | 0.118765i | ||||
\(263\) | 5.19057 | 0.320064 | 0.160032 | − | 0.987112i | \(-0.448840\pi\) | ||||
0.160032 | + | 0.987112i | \(0.448840\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.71622 | −0.596863 | ||||||||
\(266\) | −0.698196 | + | 0.507269i | −0.0428092 | + | 0.0311027i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.28709 | + | 3.96126i | −0.0786215 | + | 0.241972i | ||||
\(269\) | 12.8451 | + | 9.33248i | 0.783177 | + | 0.569011i | 0.905931 | − | 0.423426i | \(-0.139173\pi\) |
−0.122754 | + | 0.992437i | \(0.539173\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.10665 | + | 24.9497i | −0.492444 | + | 1.51559i | 0.328459 | + | 0.944518i | \(0.393471\pi\) |
−0.820903 | + | 0.571068i | \(0.806529\pi\) | |||||||
\(272\) | 2.56322 | + | 7.88877i | 0.155418 | + | 0.478327i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.06665 | −0.185263 | ||||||||
\(275\) | −0.519286 | − | 3.27572i | −0.0313141 | − | 0.197533i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.26762 | − | 3.82715i | 0.316501 | − | 0.229951i | −0.418180 | − | 0.908364i | \(-0.637332\pi\) |
0.734681 | + | 0.678413i | \(0.237332\pi\) | |||||||
\(278\) | 2.11177 | + | 6.49935i | 0.126655 | + | 0.389805i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.39326 | + | 1.73881i | 0.143025 | + | 0.103914i | ||||
\(281\) | −9.07621 | − | 6.59425i | −0.541441 | − | 0.393380i | 0.283179 | − | 0.959067i | \(-0.408611\pi\) |
−0.824620 | + | 0.565687i | \(0.808611\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.55759 | + | 7.87145i | 0.152033 | + | 0.467909i | 0.997848 | − | 0.0655669i | \(-0.0208856\pi\) |
−0.845815 | + | 0.533476i | \(0.820886\pi\) | |||||||
\(284\) | 23.7773 | − | 17.2752i | 1.41092 | − | 1.02509i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.62136 | − | 7.10973i | 0.214135 | − | 0.420407i | ||||
\(287\) | −8.61619 | −0.508597 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.20910 | − | 6.79890i | −0.129947 | − | 0.399935i | ||||
\(290\) | 0.532447 | − | 1.63870i | 0.0312664 | − | 0.0962281i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 12.1278 | + | 8.81133i | 0.709723 | + | 0.515644i | ||||
\(293\) | −0.129311 | + | 0.397978i | −0.00755443 | + | 0.0232501i | −0.954763 | − | 0.297369i | \(-0.903891\pi\) |
0.947208 | + | 0.320619i | \(0.103891\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.81315 | − | 4.22350i | 0.338455 | − | 0.245902i | ||||
\(296\) | −9.79048 | −0.569060 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8.41749 | −0.487612 | ||||||||
\(299\) | −27.1058 | + | 19.6935i | −1.56757 | + | 1.13891i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.70694 | + | 5.25343i | −0.0983866 | + | 0.302803i | ||||
\(302\) | −3.53872 | − | 2.57103i | −0.203631 | − | 0.147946i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.896895 | − | 2.76036i | 0.0514405 | − | 0.158318i | ||||
\(305\) | −2.05032 | − | 6.31023i | −0.117401 | − | 0.361323i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −32.7941 | −1.87166 | −0.935828 | − | 0.352457i | \(-0.885346\pi\) | ||||
−0.935828 | + | 0.352457i | \(0.885346\pi\) | |||||||
\(308\) | 6.70270 | + | 6.70086i | 0.381922 | + | 0.381817i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.35121 | − | 2.43480i | 0.190336 | − | 0.138287i | ||||
\(311\) | −0.157476 | − | 0.484661i | −0.00892963 | − | 0.0274826i | 0.946492 | − | 0.322726i | \(-0.104599\pi\) |
−0.955422 | + | 0.295243i | \(0.904599\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.29169 | − | 1.66501i | −0.129534 | − | 0.0941118i | 0.521132 | − | 0.853476i | \(-0.325510\pi\) |
−0.650666 | + | 0.759364i | \(0.725510\pi\) | |||||||
\(314\) | 4.68572 | + | 3.40437i | 0.264430 | + | 0.192120i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.08613 | + | 3.34277i | 0.0610997 | + | 0.188046i | ||||
\(317\) | 21.8364 | − | 15.8651i | 1.22646 | − | 0.891073i | 0.229837 | − | 0.973229i | \(-0.426181\pi\) |
0.996619 | + | 0.0821562i | \(0.0261807\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.34533 | − | 10.4944i | 0.299281 | − | 0.587573i | ||||
\(320\) | −2.89061 | −0.161590 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.64099 | + | 5.05044i | 0.0914486 | + | 0.281450i | ||||
\(323\) | 1.06519 | − | 3.27833i | 0.0592689 | − | 0.182411i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.01105 | − | 2.91420i | −0.222493 | − | 0.161651i | ||||
\(326\) | 0.348983 | − | 1.07406i | 0.0193284 | − | 0.0594866i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −7.86244 | + | 5.71240i | −0.434131 | + | 0.315415i | ||||
\(329\) | 10.6911 | 0.589417 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 21.5474 | 1.18435 | 0.592175 | − | 0.805809i | \(-0.298269\pi\) | ||||
0.592175 | + | 0.805809i | \(0.298269\pi\) | |||||||
\(332\) | −13.6321 | + | 9.90432i | −0.748160 | + | 0.543570i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.47311 | + | 4.53376i | −0.0806049 | + | 0.248076i | ||||
\(335\) | −1.90963 | − | 1.38743i | −0.104334 | − | 0.0758032i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.39195 | − | 10.4393i | 0.184771 | − | 0.568667i | −0.815173 | − | 0.579217i | \(-0.803358\pi\) |
0.999944 | + | 0.0105503i | \(0.00335833\pi\) | |||||||
\(338\) | −1.73651 | − | 5.34443i | −0.0944536 | − | 0.290698i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −5.53834 | −0.300359 | ||||||||
\(341\) | 25.2258 | − | 12.8576i | 1.36606 | − | 0.696278i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.9063 | + | 10.8301i | −0.804866 | + | 0.584770i | ||||
\(344\) | 1.92532 | + | 5.92554i | 0.103807 | + | 0.319484i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 9.12302 | + | 6.62826i | 0.490457 | + | 0.356338i | ||||
\(347\) | −13.5261 | − | 9.82728i | −0.726119 | − | 0.527556i | 0.162215 | − | 0.986756i | \(-0.448136\pi\) |
−0.888333 | + | 0.459199i | \(0.848136\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.42097 | + | 4.37331i | 0.0760629 | + | 0.234098i | 0.981858 | − | 0.189619i | \(-0.0607253\pi\) |
−0.905795 | + | 0.423717i | \(0.860725\pi\) | |||||||
\(350\) | −0.635735 | + | 0.461889i | −0.0339815 | + | 0.0246890i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 16.1686 | + | 2.55856i | 0.861788 | + | 0.136372i | ||||
\(353\) | −14.4628 | −0.769775 | −0.384887 | − | 0.922964i | \(-0.625760\pi\) | ||||
−0.384887 | + | 0.922964i | \(0.625760\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.14697 | + | 15.8407i | 0.273173 | + | 0.840739i | ||||
\(356\) | −1.44701 | + | 4.45344i | −0.0766914 | + | 0.236032i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.147817 | − | 0.107396i | −0.00781240 | − | 0.00567604i | ||||
\(359\) | −2.64715 | + | 8.14708i | −0.139711 | + | 0.429986i | −0.996293 | − | 0.0860247i | \(-0.972584\pi\) |
0.856582 | + | 0.516011i | \(0.172584\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.3955 | − | 10.4590i | 0.757659 | − | 0.550472i | ||||
\(362\) | 3.67879 | 0.193353 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 14.1680 | 0.742607 | ||||||||
\(365\) | −6.87299 | + | 4.99352i | −0.359749 | + | 0.261373i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.355143 | − | 1.09302i | 0.0185383 | − | 0.0570551i | −0.941359 | − | 0.337405i | \(-0.890451\pi\) |
0.959898 | + | 0.280350i | \(0.0904507\pi\) | |||||||
\(368\) | −14.4484 | − | 10.4974i | −0.753175 | − | 0.547214i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.803661 | − | 2.47341i | 0.0417803 | − | 0.128587i | ||||
\(371\) | 4.86243 | + | 14.9650i | 0.252445 | + | 0.776945i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 32.1348 | 1.66388 | 0.831939 | − | 0.554867i | \(-0.187231\pi\) | ||||
0.831939 | + | 0.554867i | \(0.187231\pi\) | |||||||
\(374\) | 4.98902 | + | 0.789478i | 0.257976 | + | 0.0408229i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 9.75581 | − | 7.08801i | 0.503117 | − | 0.365536i | ||||
\(377\) | −5.44042 | − | 16.7439i | −0.280196 | − | 0.862354i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.9238 | − | 8.66316i | −0.612485 | − | 0.444996i | 0.237803 | − | 0.971313i | \(-0.423573\pi\) |
−0.850289 | + | 0.526317i | \(0.823573\pi\) | |||||||
\(380\) | 1.56781 | + | 1.13908i | 0.0804271 | + | 0.0584337i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.324480 | − | 0.998646i | −0.0166018 | − | 0.0510952i | ||||
\(383\) | −24.3423 | + | 17.6857i | −1.24383 | + | 0.903698i | −0.997848 | − | 0.0655753i | \(-0.979112\pi\) |
−0.245986 | + | 0.969273i | \(0.579112\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.78542 | + | 2.43913i | −0.243888 | + | 0.124309i | ||||
\(386\) | 9.01943 | 0.459077 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 7.91954 | + | 24.3738i | 0.402054 | + | 1.23739i | ||||
\(389\) | −10.7154 | + | 32.9785i | −0.543291 | + | 1.67208i | 0.181727 | + | 0.983349i | \(0.441831\pi\) |
−0.725018 | + | 0.688730i | \(0.758169\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −17.1596 | − | 12.4672i | −0.867797 | − | 0.630491i | ||||
\(392\) | −2.47086 | + | 7.60452i | −0.124797 | + | 0.384086i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.41776 | + | 2.48315i | −0.172184 | + | 0.125099i | ||||
\(395\) | −1.99189 | −0.100223 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 36.4341 | 1.82858 | 0.914288 | − | 0.405064i | \(-0.132751\pi\) | ||||
0.914288 | + | 0.405064i | \(0.132751\pi\) | |||||||
\(398\) | −7.42840 | + | 5.39705i | −0.372352 | + | 0.270529i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.816659 | − | 2.51342i | 0.0408329 | − | 0.125671i | ||||
\(401\) | 17.4291 | + | 12.6630i | 0.870367 | + | 0.632359i | 0.930685 | − | 0.365820i | \(-0.119212\pi\) |
−0.0603183 | + | 0.998179i | \(0.519212\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 13.0792 | − | 40.2537i | 0.651523 | − | 2.00518i | ||||
\(404\) | −9.64745 | − | 29.6918i | −0.479979 | − | 1.47722i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.79041 | −0.138486 | ||||||||
\(407\) | 8.06809 | − | 15.8399i | 0.399920 | − | 0.785156i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.67164 | − | 3.39415i | 0.230998 | − | 0.167830i | −0.466265 | − | 0.884645i | \(-0.654401\pi\) |
0.697263 | + | 0.716815i | \(0.254401\pi\) | |||||||
\(410\) | −0.797753 | − | 2.45523i | −0.0393982 | − | 0.121255i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.04686 | − | 5.11984i | −0.347174 | − | 0.252236i | ||||
\(413\) | −9.41424 | − | 6.83985i | −0.463245 | − | 0.336567i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.95089 | − | 9.08191i | −0.144854 | − | 0.445814i | ||||
\(416\) | 19.7972 | − | 14.3835i | 0.970638 | − | 0.705210i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.24994 | − | 1.24959i | −0.0611363 | − | 0.0611195i | ||||
\(419\) | 13.4745 | 0.658273 | 0.329137 | − | 0.944282i | \(-0.393242\pi\) | ||||
0.329137 | + | 0.944282i | \(0.393242\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.48952 | − | 23.0504i | −0.365017 | − | 1.12341i | −0.949971 | − | 0.312340i | \(-0.898887\pi\) |
0.584954 | − | 0.811067i | \(-0.301113\pi\) | |||||||
\(422\) | −2.60185 | + | 8.00766i | −0.126656 | + | 0.389807i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 14.3587 | + | 10.4322i | 0.697318 | + | 0.506631i | ||||
\(425\) | 0.969900 | − | 2.98505i | 0.0470471 | − | 0.144796i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −8.69301 | + | 6.31584i | −0.420684 | + | 0.305645i | ||||
\(428\) | −22.4936 | −1.08727 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.65504 | −0.0798130 | ||||||||
\(431\) | −0.627719 | + | 0.456065i | −0.0302362 | + | 0.0219679i | −0.602801 | − | 0.797892i | \(-0.705949\pi\) |
0.572565 | + | 0.819860i | \(0.305949\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.6870 | − | 32.8911i | 0.513583 | − | 1.58065i | −0.272262 | − | 0.962223i | \(-0.587772\pi\) |
0.785845 | − | 0.618423i | \(-0.212228\pi\) | |||||||
\(434\) | −5.42719 | − | 3.94309i | −0.260514 | − | 0.189274i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.50376 | + | 26.1719i | −0.407256 | + | 1.25341i | ||||
\(437\) | 2.29344 | + | 7.05849i | 0.109710 | + | 0.337653i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.24100 | 0.345594 | 0.172797 | − | 0.984957i | \(-0.444720\pi\) | ||||
0.172797 | + | 0.984957i | \(0.444720\pi\) | |||||||
\(440\) | −2.74969 | + | 5.39842i | −0.131086 | + | 0.257359i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.10869 | − | 4.43822i | 0.290561 | − | 0.211105i | ||||
\(443\) | 1.67245 | + | 5.14726i | 0.0794603 | + | 0.244554i | 0.982893 | − | 0.184175i | \(-0.0589615\pi\) |
−0.903433 | + | 0.428729i | \(0.858961\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.14690 | − | 1.55981i | −0.101773 | − | 0.0739423i | ||||
\(446\) | 2.82281 | + | 2.05089i | 0.133664 | + | 0.0971124i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.44659 | + | 4.45214i | 0.0683449 | + | 0.210344i | ||||
\(449\) | 10.4290 | − | 7.57708i | 0.492173 | − | 0.357585i | −0.313846 | − | 0.949474i | \(-0.601618\pi\) |
0.806019 | + | 0.591889i | \(0.201618\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.76279 | − | 17.4280i | −0.130095 | − | 0.820654i | ||||
\(452\) | 9.94102 | 0.467586 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.09364 | − | 12.5989i | −0.192124 | − | 0.591297i | ||||
\(455\) | −2.48117 | + | 7.63626i | −0.116319 | + | 0.357993i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.37974 | − | 1.00244i | −0.0645415 | − | 0.0468921i | 0.555047 | − | 0.831819i | \(-0.312700\pi\) |
−0.619588 | + | 0.784927i | \(0.712700\pi\) | |||||||
\(458\) | −1.85574 | + | 5.71139i | −0.0867132 | + | 0.266876i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 9.64710 | − | 7.00903i | 0.449798 | − | 0.326798i | ||||
\(461\) | 29.9226 | 1.39364 | 0.696818 | − | 0.717248i | \(-0.254599\pi\) | ||||
0.696818 | + | 0.717248i | \(0.254599\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −33.9765 | −1.57902 | −0.789511 | − | 0.613736i | \(-0.789666\pi\) | ||||
−0.789511 | + | 0.613736i | \(0.789666\pi\) | |||||||
\(464\) | 7.59216 | − | 5.51603i | 0.352457 | − | 0.256075i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.18089 | + | 6.71208i | −0.101028 | + | 0.310931i | ||||
\(467\) | −0.137470 | − | 0.0998775i | −0.00636133 | − | 0.00462178i | 0.584600 | − | 0.811322i | \(-0.301251\pi\) |
−0.590961 | + | 0.806700i | \(0.701251\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.18127 | + | 3.63556i | −0.0545458 | + | 0.167875i | ||||
\(470\) | 0.989861 | + | 3.04648i | 0.0456589 | + | 0.140524i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −13.1254 | −0.604146 | ||||||||
\(473\) | −11.1735 | − | 1.76813i | −0.513757 | − | 0.0812985i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.888503 | + | 0.645535i | −0.0407673 | + | 0.0296192i | ||||
\(476\) | 2.77163 | + | 8.53022i | 0.127038 | + | 0.390982i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.3554 | + | 8.25018i | 0.519384 | + | 0.377354i | ||||
\(479\) | −11.8262 | − | 8.59223i | −0.540352 | − | 0.392589i | 0.283863 | − | 0.958865i | \(-0.408384\pi\) |
−0.824216 | + | 0.566276i | \(0.808384\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8.21161 | − | 25.2727i | −0.374417 | − | 1.15234i | ||||
\(482\) | −3.69243 | + | 2.68271i | −0.168186 | + | 0.122194i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.4046 | + | 15.7062i | −0.518393 | + | 0.713920i | ||||
\(485\) | −14.5239 | −0.659495 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.40157 | − | 22.7797i | −0.335397 | − | 1.03225i | −0.966526 | − | 0.256569i | \(-0.917408\pi\) |
0.631129 | − | 0.775678i | \(-0.282592\pi\) | |||||||
\(488\) | −3.74524 | + | 11.5267i | −0.169539 | + | 0.521788i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.71834 | − | 1.24845i | −0.0776268 | − | 0.0563992i | ||||
\(491\) | 9.80474 | − | 30.1759i | 0.442482 | − | 1.36182i | −0.442740 | − | 0.896650i | \(-0.645994\pi\) |
0.885222 | − | 0.465169i | \(-0.154006\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.01679 | − | 6.55108i | 0.406096 | − | 0.295046i | ||||
\(494\) | −2.64209 | −0.118873 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 22.5609 | 1.01302 | ||||||||
\(497\) | 21.8223 | − | 15.8548i | 0.978864 | − | 0.711186i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.2290 | − | 31.4816i | 0.457912 | − | 1.40931i | −0.409770 | − | 0.912189i | \(-0.634391\pi\) |
0.867682 | − | 0.497119i | \(-0.165609\pi\) | |||||||
\(500\) | 1.42755 | + | 1.03718i | 0.0638422 | + | 0.0463841i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.00487889 | + | 0.0150157i | −0.000217755 | + | 0.000670182i | ||||
\(503\) | 5.60622 | + | 17.2542i | 0.249969 | + | 0.769326i | 0.994779 | + | 0.102050i | \(0.0325400\pi\) |
−0.744810 | + | 0.667276i | \(0.767460\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.6927 | 0.787316 | ||||||||
\(506\) | −9.68937 | + | 4.93867i | −0.430745 | + | 0.219550i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10.5109 | − | 7.63664i | 0.466347 | − | 0.338821i | ||||
\(509\) | −5.15242 | − | 15.8575i | −0.228377 | − | 0.702872i | −0.997931 | − | 0.0642907i | \(-0.979522\pi\) |
0.769554 | − | 0.638582i | \(-0.220478\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.1306 | + | 8.08687i | 0.492389 | + | 0.357742i | ||||
\(512\) | 18.3636 | + | 13.3419i | 0.811565 | + | 0.589636i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.992146 | − | 3.05351i | −0.0437617 | − | 0.134685i | ||||
\(515\) | 3.99356 | − | 2.90149i | 0.175977 | − | 0.127855i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.42810 | + | 21.6249i | 0.150768 | + | 0.951061i | ||||
\(518\) | −4.21176 | −0.185054 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.79861 | + | 8.61322i | 0.122727 | + | 0.377715i | ||||
\(521\) | 6.34181 | − | 19.5181i | 0.277840 | − | 0.855103i | −0.710614 | − | 0.703582i | \(-0.751583\pi\) |
0.988454 | − | 0.151521i | \(-0.0484172\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.327380 | − | 0.237856i | −0.0143153 | − | 0.0104007i | 0.580605 | − | 0.814186i | \(-0.302816\pi\) |
−0.594920 | + | 0.803785i | \(0.702816\pi\) | |||||||
\(524\) | 3.67530 | − | 11.3114i | 0.160556 | − | 0.494141i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.03759 | − | 1.48040i | 0.0888433 | − | 0.0645484i | ||||
\(527\) | 26.7944 | 1.16718 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.6676 | 0.985546 | ||||||||
\(530\) | −3.81417 | + | 2.77116i | −0.165677 | + | 0.120371i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.969823 | − | 2.98481i | 0.0420472 | − | 0.129408i | ||||
\(533\) | −21.3403 | − | 15.5046i | −0.924349 | − | 0.671579i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.93919 | − | 12.1236i | 0.170306 | − | 0.524148i | ||||
\(536\) | 1.33239 | + | 4.10068i | 0.0575506 | + | 0.177123i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 7.70412 | 0.332148 | ||||||||
\(539\) | −10.2671 | − | 10.2643i | −0.442236 | − | 0.442114i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.3226 | − | 10.4060i | 0.615777 | − | 0.447388i | −0.235667 | − | 0.971834i | \(-0.575728\pi\) |
0.851444 | + | 0.524446i | \(0.175728\pi\) | |||||||
\(542\) | 3.93356 | + | 12.1063i | 0.168961 | + | 0.520009i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 12.5328 | + | 9.10562i | 0.537340 | + | 0.390400i | ||||
\(545\) | −12.6169 | − | 9.16668i | −0.540447 | − | 0.392658i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.78996 | + | 5.50893i | 0.0765331 | + | 0.235545i | 0.982003 | − | 0.188866i | \(-0.0604812\pi\) |
−0.905470 | + | 0.424411i | \(0.860481\pi\) | |||||||
\(548\) | 9.02219 | − | 6.55501i | 0.385409 | − | 0.280016i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.13812 | − | 1.13780i | −0.0485294 | − | 0.0485160i | ||||
\(551\) | −3.89987 | −0.166140 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.996831 | + | 3.06793i | 0.0423896 | + | 0.130462i | ||||
\(554\) | 0.976302 | − | 3.00475i | 0.0414791 | − | 0.127660i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −20.1053 | − | 14.6074i | −0.852657 | − | 0.619491i | ||||
\(557\) | −12.7219 | + | 39.1539i | −0.539043 | + | 1.65901i | 0.195703 | + | 0.980663i | \(0.437301\pi\) |
−0.734746 | + | 0.678342i | \(0.762699\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −13.6811 | + | 9.93990i | −0.578649 | + | 0.420413i | ||||
\(560\) | −4.27988 | −0.180858 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.44367 | −0.229627 | ||||||||
\(563\) | −9.73841 | + | 7.07537i | −0.410425 | + | 0.298191i | −0.773774 | − | 0.633462i | \(-0.781633\pi\) |
0.363349 | + | 0.931653i | \(0.381633\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.74092 | + | 5.35799i | −0.0732410 | + | 0.225412i | ||||
\(566\) | 3.24901 | + | 2.36054i | 0.136566 | + | 0.0992210i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.40178 | − | 28.9357i | 0.394490 | − | 1.21411i | ||||
\(569\) | 1.14144 | + | 3.51299i | 0.0478517 | + | 0.147272i | 0.972127 | − | 0.234453i | \(-0.0753300\pi\) |
−0.924276 | + | 0.381725i | \(0.875330\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.17733 | −0.216665 | −0.108332 | − | 0.994115i | \(-0.534551\pi\) | ||||
−0.108332 | + | 0.994115i | \(0.534551\pi\) | |||||||
\(572\) | 4.54300 | + | 28.6578i | 0.189952 | + | 1.19824i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.38234 | + | 2.45742i | −0.141176 | + | 0.102571i | ||||
\(575\) | 2.08827 | + | 6.42703i | 0.0870868 | + | 0.268026i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.796182 | − | 0.578460i | −0.0331455 | − | 0.0240816i | 0.571089 | − | 0.820888i | \(-0.306521\pi\) |
−0.604235 | + | 0.796806i | \(0.706521\pi\) | |||||||
\(578\) | −2.80631 | − | 2.03890i | −0.116727 | − | 0.0848071i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.93627 | + | 5.95924i | 0.0803994 | + | 0.247444i | ||||
\(581\) | −12.5113 | + | 9.08999i | −0.519056 | + | 0.377116i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −28.7107 | + | 14.6338i | −1.18908 | + | 0.606071i | ||||
\(584\) | 15.5184 | 0.642155 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.0627452 | + | 0.193110i | 0.00259198 | + | 0.00797729i | ||||
\(587\) | 9.78070 | − | 30.1019i | 0.403693 | − | 1.24244i | −0.518289 | − | 0.855205i | \(-0.673431\pi\) |
0.921982 | − | 0.387233i | \(-0.126569\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.58504 | − | 5.51085i | −0.312536 | − | 0.227071i | ||||
\(590\) | 1.07741 | − | 3.31593i | 0.0443563 | − | 0.136515i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 11.4594 | − | 8.32573i | 0.470978 | − | 0.342185i | ||||
\(593\) | −38.9330 | −1.59879 | −0.799394 | − | 0.600808i | \(-0.794846\pi\) | ||||
−0.799394 | + | 0.600808i | \(0.794846\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.08298 | −0.208382 | ||||||||
\(596\) | 24.7645 | − | 17.9925i | 1.01440 | − | 0.737001i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −5.02380 | + | 15.4617i | −0.205438 | + | 0.632274i | ||||
\(599\) | −1.37426 | − | 0.998461i | −0.0561509 | − | 0.0407960i | 0.559356 | − | 0.828928i | \(-0.311049\pi\) |
−0.615507 | + | 0.788132i | \(0.711049\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.6949 | + | 39.0710i | −0.517838 | + | 1.59374i | 0.260221 | + | 0.965549i | \(0.416205\pi\) |
−0.778059 | + | 0.628192i | \(0.783795\pi\) | |||||||
\(602\) | 0.828255 | + | 2.54911i | 0.0337571 | + | 0.103894i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 15.9067 | 0.647233 | ||||||||
\(605\) | −6.46809 | − | 8.89740i | −0.262965 | − | 0.361731i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 17.6712 | − | 12.8389i | 0.717253 | − | 0.521115i | −0.168253 | − | 0.985744i | \(-0.553812\pi\) |
0.885505 | + | 0.464629i | \(0.153812\pi\) | |||||||
\(608\) | −1.67506 | − | 5.15529i | −0.0679325 | − | 0.209075i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.60460 | − | 1.89235i | −0.105457 | − | 0.0766192i | ||||
\(611\) | 26.4792 | + | 19.2383i | 1.07123 | + | 0.778297i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.1471 | + | 43.5402i | 0.571394 | + | 1.75857i | 0.648141 | + | 0.761521i | \(0.275547\pi\) |
−0.0767464 | + | 0.997051i | \(0.524453\pi\) | |||||||
\(614\) | −12.8735 | + | 9.35317i | −0.519534 | + | 0.377463i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.69077 | + | 1.53350i | 0.390452 | + | 0.0617863i | ||||
\(617\) | 37.0763 | 1.49263 | 0.746317 | − | 0.665590i | \(-0.231820\pi\) | ||||
0.746317 | + | 0.665590i | \(0.231820\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.02300 | + | 15.4592i | 0.201891 | + | 0.621358i | 0.999827 | + | 0.0186148i | \(0.00592562\pi\) |
−0.797935 | + | 0.602743i | \(0.794074\pi\) | |||||||
\(620\) | −4.65497 | + | 14.3265i | −0.186948 | + | 0.575367i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.200048 | − | 0.145343i | −0.00802119 | − | 0.00582774i | ||||
\(623\) | −1.32804 | + | 4.08728i | −0.0532067 | + | 0.163753i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.809017 | + | 0.587785i | −0.0323607 | + | 0.0235114i | ||||
\(626\) | −1.37449 | −0.0549358 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −21.0624 | −0.840482 | ||||||||
\(629\) | 13.6097 | − | 9.88801i | 0.542653 | − | 0.394261i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.80690 | + | 8.63874i | −0.111741 | + | 0.343903i | −0.991253 | − | 0.131973i | \(-0.957869\pi\) |
0.879513 | + | 0.475876i | \(0.157869\pi\) | |||||||
\(632\) | 2.94362 | + | 2.13866i | 0.117091 | + | 0.0850715i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.04717 | − | 12.4559i | 0.160734 | − | 0.494687i | ||||
\(635\) | 2.27526 | + | 7.00253i | 0.0902909 | + | 0.277887i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −21.7024 | −0.859880 | ||||||||
\(638\) | −0.894749 | − | 5.64418i | −0.0354235 | − | 0.223455i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −9.12081 | + | 6.62665i | −0.360531 | + | 0.261941i | ||||
\(641\) | 2.30363 | + | 7.08985i | 0.0909879 | + | 0.280032i | 0.986187 | − | 0.165634i | \(-0.0529670\pi\) |
−0.895199 | + | 0.445666i | \(0.852967\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −35.7255 | − | 25.9561i | −1.40888 | − | 1.02361i | −0.993485 | − | 0.113966i | \(-0.963645\pi\) |
−0.415391 | − | 0.909643i | \(-0.636355\pi\) | |||||||
\(644\) | −15.6232 | − | 11.3509i | −0.615641 | − | 0.447289i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.516861 | − | 1.59073i | −0.0203356 | − | 0.0625866i | ||||
\(647\) | −9.25415 | + | 6.72353i | −0.363818 | + | 0.264329i | −0.754643 | − | 0.656136i | \(-0.772190\pi\) |
0.390825 | + | 0.920465i | \(0.372190\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.8163 | − | 21.2355i | 0.424578 | − | 0.833565i | ||||
\(650\) | −2.40572 | −0.0943602 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.26909 | + | 3.90587i | 0.0497016 | + | 0.152966i | ||||
\(653\) | −0.611505 | + | 1.88202i | −0.0239301 | + | 0.0736491i | −0.962308 | − | 0.271961i | \(-0.912328\pi\) |
0.938378 | + | 0.345610i | \(0.112328\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.45297 | + | 3.96181i | 0.213065 | + | 0.154801i | ||||
\(656\) | 4.34492 | − | 13.3723i | 0.169641 | − | 0.522100i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.19685 | − | 3.04919i | 0.163610 | − | 0.118870i | ||||
\(659\) | 18.3062 | 0.713107 | 0.356553 | − | 0.934275i | \(-0.383952\pi\) | ||||
0.356553 | + | 0.934275i | \(0.383952\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.16189 | −0.0451922 | −0.0225961 | − | 0.999745i | \(-0.507193\pi\) | ||||
−0.0225961 | + | 0.999745i | \(0.507193\pi\) | |||||||
\(662\) | 8.45857 | − | 6.14551i | 0.328752 | − | 0.238852i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.39029 | + | 16.5896i | −0.209184 | + | 0.643801i | ||||
\(665\) | 1.43891 | + | 1.04543i | 0.0557984 | + | 0.0405399i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.41542 | + | 22.8223i | −0.287126 | + | 0.883683i | ||||
\(668\) | −5.35704 | − | 16.4873i | −0.207270 | − | 0.637911i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.14535 | −0.0442485 | ||||||||
\(671\) | −15.5625 | − | 15.5582i | −0.600785 | − | 0.600619i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.06279 | + | 0.772159i | −0.0409674 | + | 0.0297645i | −0.608081 | − | 0.793875i | \(-0.708060\pi\) |
0.567113 | + | 0.823640i | \(0.308060\pi\) | |||||||
\(674\) | −1.64586 | − | 5.06545i | −0.0633963 | − | 0.195114i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 16.5326 | + | 12.0117i | 0.635871 | + | 0.461987i | ||||
\(677\) | 15.5872 | + | 11.3248i | 0.599064 | + | 0.435246i | 0.845547 | − | 0.533902i | \(-0.179275\pi\) |
−0.246482 | + | 0.969147i | \(0.579275\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.26840 | + | 22.3698i | 0.278936 | + | 0.858475i | ||||
\(680\) | −4.63832 | + | 3.36994i | −0.177872 | + | 0.129231i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 6.23547 | − | 12.2420i | 0.238769 | − | 0.468770i | ||||
\(683\) | −7.15293 | −0.273699 | −0.136850 | − | 0.990592i | \(-0.543698\pi\) | ||||
−0.136850 | + | 0.990592i | \(0.543698\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.95300 | + | 6.01071i | 0.0746202 | + | 0.229657i | ||||
\(686\) | −2.76274 | + | 8.50285i | −0.105482 | + | 0.324640i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −7.29254 | − | 5.29834i | −0.278025 | − | 0.201997i | ||||
\(689\) | −14.8861 | + | 45.8146i | −0.567114 | + | 1.74540i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −16.8534 | + | 12.2447i | −0.641134 | + | 0.465811i | −0.860240 | − | 0.509890i | \(-0.829686\pi\) |
0.219106 | + | 0.975701i | \(0.429686\pi\) | |||||||
\(692\) | −41.0083 | −1.55890 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −8.11259 | −0.307950 | ||||||||
\(695\) | 11.3940 | − | 8.27823i | 0.432199 | − | 0.314011i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.16022 | − | 15.8815i | 0.195457 | − | 0.601556i | ||||
\(698\) | 1.80512 | + | 1.31150i | 0.0683248 | + | 0.0496409i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.883062 | − | 2.71779i | 0.0333766 | − | 0.102723i | ||||
\(701\) | 5.78777 | + | 17.8129i | 0.218601 | + | 0.672785i | 0.998878 | + | 0.0473511i | \(0.0150780\pi\) |
−0.780277 | + | 0.625434i | \(0.784922\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.88636 | −0.222008 | ||||||||
\(704\) | −8.54153 | + | 4.35361i | −0.321921 | + | 0.164083i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.67745 | + | 4.12491i | −0.213674 | + | 0.155243i | ||||
\(707\) | −8.85424 | − | 27.2505i | −0.332998 | − | 1.02486i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.5888 | + | 10.5994i | 0.547895 | + | 0.398069i | 0.827009 | − | 0.562189i | \(-0.190041\pi\) |
−0.279114 | + | 0.960258i | \(0.590041\pi\) | |||||||
\(710\) | 6.53840 | + | 4.75043i | 0.245382 | + | 0.178280i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.49794 | + | 4.61019i | 0.0561378 | + | 0.172774i | ||||
\(713\) | −46.6724 | + | 33.9095i | −1.74790 | + | 1.26992i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −16.2415 | − | 2.57011i | −0.607398 | − | 0.0961165i | ||||
\(716\) | 0.664444 | 0.0248314 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.28447 | + | 3.95318i | 0.0479359 | + | 0.147531i | ||||
\(719\) | 12.1961 | − | 37.5357i | 0.454837 | − | 1.39984i | −0.416489 | − | 0.909141i | \(-0.636740\pi\) |
0.871326 | − | 0.490704i | \(-0.163260\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.46746 | − | 4.69889i | −0.240861 | − | 0.174996i | ||||
\(722\) | 2.66807 | − | 8.21148i | 0.0992953 | − | 0.305599i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −10.8231 | + | 7.86345i | −0.402238 | + | 0.292243i | ||||
\(725\) | −3.55099 | −0.131880 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 12.4002 | 0.459899 | 0.229950 | − | 0.973203i | \(-0.426144\pi\) | ||||
0.229950 | + | 0.973203i | \(0.426144\pi\) | |||||||
\(728\) | 11.8656 | − | 8.62088i | 0.439769 | − | 0.319511i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.27384 | + | 3.92048i | −0.0471470 | + | 0.145103i | ||||
\(731\) | −8.66095 | − | 6.29255i | −0.320337 | − | 0.232738i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.38267 | − | 10.4108i | 0.124942 | − | 0.384531i | −0.868949 | − | 0.494902i | \(-0.835204\pi\) |
0.993890 | + | 0.110371i | \(0.0352040\pi\) | |||||||
\(734\) | −0.172325 | − | 0.530362i | −0.00636063 | − | 0.0195760i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −33.3541 | −1.22945 | ||||||||
\(737\) | −7.73245 | − | 1.22361i | −0.284828 | − | 0.0450721i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.8963 | + | 8.64319i | −0.437614 | + | 0.317945i | −0.784686 | − | 0.619893i | \(-0.787176\pi\) |
0.347072 | + | 0.937838i | \(0.387176\pi\) | |||||||
\(740\) | 2.92256 | + | 8.99470i | 0.107435 | + | 0.330652i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.17695 | + | 4.48781i | 0.226763 | + | 0.164753i | ||||
\(743\) | 23.3464 | + | 16.9622i | 0.856498 | + | 0.622282i | 0.926930 | − | 0.375234i | \(-0.122438\pi\) |
−0.0704319 | + | 0.997517i | \(0.522438\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.36068 | + | 16.4985i | 0.196400 | + | 0.604458i | ||||
\(746\) | 12.6148 | − | 9.16515i | 0.461859 | − | 0.335560i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −16.3654 | + | 8.34143i | −0.598378 | + | 0.304993i | ||||
\(749\) | −20.6442 | −0.754323 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.95563 | − | 24.4849i | −0.290305 | − | 0.893467i | −0.984758 | − | 0.173929i | \(-0.944354\pi\) |
0.694453 | − | 0.719538i | \(-0.255646\pi\) | |||||||
\(752\) | −5.39122 | + | 16.5925i | −0.196598 | + | 0.605066i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −6.91119 | − | 5.02127i | −0.251691 | − | 0.182864i | ||||
\(755\) | −2.78565 | + | 8.57334i | −0.101380 | + | 0.312016i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −32.0812 | + | 23.3083i | −1.16601 | + | 0.847156i | −0.990526 | − | 0.137326i | \(-0.956149\pi\) |
−0.175485 | + | 0.984482i | \(0.556149\pi\) | |||||||
\(758\) | −7.15159 | −0.259757 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.00613 | 0.0727701 | ||||||||
\(761\) | 25.2185 | − | 18.3223i | 0.914170 | − | 0.664183i | −0.0278959 | − | 0.999611i | \(-0.508881\pi\) |
0.942066 | + | 0.335427i | \(0.108881\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.80458 | + | 24.0200i | −0.282545 | + | 0.869583i | ||||
\(764\) | 3.08925 | + | 2.24447i | 0.111765 | + | 0.0812021i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.51161 | + | 13.8853i | −0.163011 | + | 0.501696i | ||||
\(767\) | −11.0087 | − | 33.8814i | −0.397502 | − | 1.22339i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −38.5273 | −1.38933 | −0.694666 | − | 0.719333i | \(-0.744448\pi\) | ||||
−0.694666 | + | 0.719333i | \(0.744448\pi\) | |||||||
\(770\) | −1.18289 | + | 2.32234i | −0.0426284 | + | 0.0836915i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −26.5355 | + | 19.2792i | −0.955033 | + | 0.693872i | ||||
\(773\) | −13.2417 | − | 40.7537i | −0.476270 | − | 1.46581i | −0.844237 | − | 0.535970i | \(-0.819946\pi\) |
0.367967 | − | 0.929839i | \(-0.380054\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.90648 | − | 5.01785i | −0.248088 | − | 0.180246i | ||||
\(776\) | 21.4634 | + | 15.5941i | 0.770492 | + | 0.559795i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.19939 | + | 16.0021i | 0.186407 | + | 0.573702i | ||||
\(779\) | −4.72716 | + | 3.43448i | −0.169368 | + | 0.123053i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 39.0670 | + | 39.0562i | 1.39793 | + | 1.39754i | ||||
\(782\) | −10.2919 | −0.368036 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.57477 | − | 11.0020i | −0.127670 | − | 0.392928i | ||||
\(785\) | 3.68855 | − | 11.3522i | 0.131650 | − | 0.405177i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.8827 | − | 15.8987i | −0.780035 | − | 0.566728i | 0.124955 | − | 0.992162i | \(-0.460121\pi\) |
−0.904989 | + | 0.425434i | \(0.860121\pi\) | |||||||
\(788\) | 4.74740 | − | 14.6110i | 0.169119 | − | 0.520496i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.781930 | + | 0.568106i | −0.0278198 | + | 0.0202123i | ||||
\(791\) | 9.12367 | 0.324400 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −32.8957 | −1.16816 | ||||||||
\(794\) | 14.3025 | − | 10.3914i | 0.507576 | − | 0.368775i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10.3183 | − | 31.7566i | 0.365724 | − | 1.12558i | ||||
\(797\) | −8.41045 | − | 6.11055i | −0.297913 | − | 0.216447i | 0.428780 | − | 0.903409i | \(-0.358944\pi\) |
−0.726693 | + | 0.686962i | \(0.758944\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.40286 | + | 19.7060i | −0.226517 | + | 0.697147i | ||||
\(800\) | −1.52521 | − | 4.69410i | −0.0539241 | − | 0.165961i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 10.4535 | 0.369126 | ||||||||
\(803\) | −12.7883 | + | 25.1070i | −0.451290 | + | 0.886008i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.85391 | − | 6.43275i | 0.312059 | − | 0.226724i | ||||
\(806\) | −6.34639 | − | 19.5322i | −0.223542 | − | 0.687992i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −26.1464 | − | 18.9964i | −0.919826 | − | 0.668293i | ||||
\(809\) | 32.3120 | + | 23.4761i | 1.13603 | + | 0.825375i | 0.986561 | − | 0.163391i | \(-0.0522434\pi\) |
0.149470 | + | 0.988766i | \(0.452243\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4.81738 | − | 14.8264i | −0.169161 | − | 0.520625i | 0.830158 | − | 0.557529i | \(-0.188250\pi\) |
−0.999319 | + | 0.0369040i | \(0.988250\pi\) | |||||||
\(812\) | 8.20948 | − | 5.96454i | 0.288096 | − | 0.209314i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.35051 | − | 8.51917i | −0.0473353 | − | 0.298597i | ||||
\(815\) | −2.32743 | −0.0815263 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.15757 | + | 3.56263i | 0.0404982 | + | 0.124641i | ||||
\(818\) | 0.865844 | − | 2.66479i | 0.0302735 | − | 0.0931723i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 7.59511 | + | 5.51817i | 0.265233 | + | 0.192703i | ||||
\(821\) | 0.761411 | − | 2.34338i | 0.0265734 | − | 0.0817846i | −0.936890 | − | 0.349624i | \(-0.886310\pi\) |
0.963464 | + | 0.267839i | \(0.0863095\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 44.6341 | − | 32.4286i | 1.55585 | − | 1.13039i | 0.616534 | − | 0.787329i | \(-0.288536\pi\) |
0.939313 | − | 0.343060i | \(-0.111464\pi\) | |||||||
\(824\) | −9.01698 | −0.314122 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.64642 | −0.196464 | ||||||||
\(827\) | −24.9101 | + | 18.0982i | −0.866208 | + | 0.629337i | −0.929567 | − | 0.368654i | \(-0.879819\pi\) |
0.0633584 | + | 0.997991i | \(0.479819\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.99352 | + | 24.6015i | −0.277627 | + | 0.854447i | 0.710886 | + | 0.703307i | \(0.248294\pi\) |
−0.988512 | + | 0.151139i | \(0.951706\pi\) | |||||||
\(830\) | −3.74864 | − | 2.72355i | −0.130117 | − | 0.0945357i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.42865 | + | 13.6300i | −0.153536 | + | 0.472535i | ||||
\(833\) | −4.24555 | − | 13.0665i | −0.147100 | − | 0.452726i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 9.82442 | 0.339988 | ||||||||
\(836\) | 6.34837 | + | 1.00458i | 0.219563 | + | 0.0347443i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 5.28952 | − | 3.84306i | 0.182723 | − | 0.132756i | ||||
\(839\) | 16.2039 | + | 49.8704i | 0.559420 | + | 1.72172i | 0.683975 | + | 0.729505i | \(0.260250\pi\) |
−0.124555 | + | 0.992213i | \(0.539750\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.2602 | + | 9.63408i | 0.457247 | + | 0.332210i | ||||
\(842\) | −9.51424 | − | 6.91250i | −0.327882 | − | 0.238221i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −9.46176 | − | 29.1203i | −0.325687 | − | 1.00236i | ||||
\(845\) | −9.36930 | + | 6.80720i | −0.322314 | + | 0.234175i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.4669 | + | 14.4149i | −0.359649 | + | 0.495301i | ||||
\(848\) | −25.6777 | −0.881775 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.470622 | − | 1.44843i | −0.0161422 | − | 0.0496806i | ||||
\(851\) | −11.1926 | + | 34.4473i | −0.383678 | + | 1.18084i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 24.1701 | + | 17.5606i | 0.827568 | + | 0.601263i | 0.918870 | − | 0.394560i | \(-0.129103\pi\) |
−0.0913024 | + | 0.995823i | \(0.529103\pi\) | |||||||
\(854\) | −1.61116 | + | 4.95866i | −0.0551329 | + | 0.169682i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −18.8383 | + | 13.6868i | −0.643878 | + | 0.467805i | ||||
\(857\) | 50.9131 | 1.73916 | 0.869579 | − | 0.493794i | \(-0.164390\pi\) | ||||
0.869579 | + | 0.493794i | \(0.164390\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 30.2338 | 1.03156 | 0.515782 | − | 0.856720i | \(-0.327501\pi\) | ||||
0.515782 | + | 0.856720i | \(0.327501\pi\) | |||||||
\(860\) | 4.86918 | − | 3.53767i | 0.166038 | − | 0.120633i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.116342 | + | 0.358063i | −0.00396261 | + | 0.0121957i | ||||
\(863\) | 15.2158 | + | 11.0549i | 0.517953 | + | 0.376315i | 0.815832 | − | 0.578289i | \(-0.196279\pi\) |
−0.297879 | + | 0.954604i | \(0.596279\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.18156 | − | 22.1026i | 0.244180 | − | 0.751509i | ||||
\(866\) | −5.18561 | − | 15.9597i | −0.176214 | − | 0.542331i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 24.3954 | 0.828034 | ||||||||
\(869\) | −5.88589 | + | 3.00003i | −0.199665 | + | 0.101769i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −9.46781 | + | 6.87877i | −0.320805 | + | 0.233078i | ||||
\(872\) | 8.80308 | + | 27.0931i | 0.298110 | + | 0.917488i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.91345 | + | 2.11675i | 0.0985490 | + | 0.0716000i | ||||
\(875\) | 1.31018 | + | 0.951902i | 0.0442922 | + | 0.0321802i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13.9958 | − | 43.0748i | −0.472606 | − | 1.45453i | −0.849159 | − | 0.528137i | \(-0.822891\pi\) |
0.376553 | − | 0.926395i | \(-0.377109\pi\) | |||||||
\(878\) | 2.84250 | − | 2.06520i | 0.0959299 | − | 0.0696971i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.37235 | − | 8.65695i | −0.0462619 | − | 0.291826i | ||||
\(881\) | −24.6233 | −0.829581 | −0.414791 | − | 0.909917i | \(-0.636145\pi\) | ||||
−0.414791 | + | 0.909917i | \(0.636145\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.2935 | + | 53.2239i | 0.581972 | + | 1.79113i | 0.611103 | + | 0.791551i | \(0.290726\pi\) |
−0.0291306 | + | 0.999576i | \(0.509274\pi\) | |||||||
\(884\) | −8.48522 | + | 26.1148i | −0.285389 | + | 0.878336i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.12458 | + | 1.54360i | 0.0713766 | + | 0.0518581i | ||||
\(887\) | 7.27277 | − | 22.3833i | 0.244196 | − | 0.751557i | −0.751572 | − | 0.659651i | \(-0.770704\pi\) |
0.995768 | − | 0.0919061i | \(-0.0292960\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.64672 | − | 7.00876i | 0.323541 | − | 0.235066i | ||||
\(890\) | −1.28765 | −0.0431623 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −12.6886 | −0.424846 | ||||||||
\(893\) | 5.86551 | − | 4.26154i | 0.196282 | − | 0.142607i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.116360 | + | 0.358121i | −0.00388950 | + | 0.0119707i | ||||
\(896\) | 14.7709 | + | 10.7317i | 0.493461 | + | 0.358520i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.93291 | − | 5.94887i | 0.0645019 | − | 0.198516i | ||||
\(899\) | −9.36765 | − | 28.8307i | −0.312429 | − | 0.961557i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −30.4959 | −1.01597 | ||||||||
\(902\) | −6.05519 | − | 6.05352i | −0.201616 | − | 0.201560i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 8.32554 | − | 6.04886i | 0.276903 | − | 0.201182i | ||||
\(905\) | −2.34284 | − | 7.21051i | −0.0778785 | − | 0.239685i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 36.9091 | + | 26.8161i | 1.22555 | + | 0.890413i | 0.996548 | − | 0.0830138i | \(-0.0264545\pi\) |
0.229000 | + | 0.973427i | \(0.426455\pi\) | |||||||
\(908\) | 38.9740 | + | 28.3163i | 1.29340 | + | 0.939708i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.20393 | + | 3.70532i | 0.0399099 | + | 0.122830i | ||||
\(911\) | −37.9352 | + | 27.5615i | −1.25685 | + | 0.913154i | −0.998599 | − | 0.0529235i | \(-0.983146\pi\) |
−0.258251 | + | 0.966078i | \(0.583146\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −22.3982 | − | 22.3920i | −0.741271 | − | 0.741066i | ||||
\(914\) | −0.827531 | −0.0273723 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.74851 | − | 20.7698i | −0.222977 | − | 0.686253i | ||||
\(917\) | 3.37312 | − | 10.3814i | 0.111390 | − | 0.342824i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 27.3480 | + | 19.8695i | 0.902127 | + | 0.655434i | 0.939012 | − | 0.343886i | \(-0.111743\pi\) |
−0.0368841 | + | 0.999320i | \(0.511743\pi\) | |||||||
\(920\) | 3.81456 | − | 11.7400i | 0.125762 | − | 0.387057i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 11.7463 | − | 8.53421i | 0.386845 | − | 0.281059i | ||||
\(923\) | 82.5790 | 2.71812 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.35976 | −0.176228 | ||||||||
\(926\) | −13.3377 | + | 9.69042i | −0.438304 | + | 0.318447i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 5.41599 | − | 16.6687i | 0.177789 | − | 0.547177i | ||||
\(929\) | 12.5504 | + | 9.11842i | 0.411766 | + | 0.299166i | 0.774316 | − | 0.632799i | \(-0.218094\pi\) |
−0.362550 | + | 0.931964i | \(0.618094\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.48556 | + | 4.57209i | −0.0486873 | + | 0.149844i | ||||
\(932\) | −7.93091 | − | 24.4088i | −0.259786 | − | 0.799538i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.0824506 | −0.00269787 | ||||||||
\(935\) | −1.62987 | − | 10.2814i | −0.0533023 | − | 0.336237i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.51718 | − | 2.55538i | 0.114901 | − | 0.0834806i | −0.528851 | − | 0.848715i | \(-0.677377\pi\) |
0.643752 | + | 0.765234i | \(0.277377\pi\) | |||||||
\(938\) | 0.573182 | + | 1.76407i | 0.0187151 | + | 0.0575990i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −9.42409 | − | 6.84701i | −0.307380 | − | 0.223325i | ||||
\(941\) | −15.1392 | − | 10.9993i | −0.493525 | − | 0.358567i | 0.313013 | − | 0.949749i | \(-0.398662\pi\) |
−0.806538 | + | 0.591182i | \(0.798662\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.1103 | + | 34.1941i | 0.361803 | + | 1.11351i | ||||
\(944\) | 15.3628 | − | 11.1617i | 0.500016 | − | 0.363283i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.89052 | + | 2.49269i | −0.159004 | + | 0.0810444i | ||||
\(947\) | −18.6269 | −0.605294 | −0.302647 | − | 0.953103i | \(-0.597870\pi\) | ||||
−0.302647 | + | 0.953103i | \(0.597870\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.0158 | + | 40.0585i | 0.422511 | + | 1.30035i | ||||
\(950\) | −0.164675 | + | 0.506819i | −0.00534277 | + | 0.0164434i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.51164 | + | 5.45753i | 0.243454 | + | 0.176879i | ||||
\(953\) | −2.70176 | + | 8.31516i | −0.0875185 | + | 0.269354i | −0.985232 | − | 0.171226i | \(-0.945227\pi\) |
0.897713 | + | 0.440580i | \(0.145227\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.75072 | + | 1.27198i | −0.0566521 | + | 0.0411602i | ||||
\(956\) | −51.0428 | −1.65084 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −7.09304 | −0.229166 | ||||||||
\(959\) | 8.28039 | − | 6.01605i | 0.267388 | − | 0.194269i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.9411 | − | 39.8286i | 0.417455 | − | 1.28479i | ||||
\(962\) | −10.4315 | − | 7.57896i | −0.336326 | − | 0.244355i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.12893 | − | 15.7852i | 0.165192 | − | 0.508408i | ||||
\(965\) | −5.74403 | − | 17.6783i | −0.184907 | − | 0.569085i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 47.6843 | 1.53342 | 0.766712 | − | 0.641992i | \(-0.221892\pi\) | ||||
0.766712 | + | 0.641992i | \(0.221892\pi\) | |||||||
\(968\) | 0.00554448 | + | 20.0933i | 0.000178206 | + | 0.645823i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.70145 | + | 4.14235i | −0.183063 | + | 0.133003i | ||||
\(971\) | −10.1428 | − | 31.2165i | −0.325499 | − | 1.00178i | −0.971215 | − | 0.238206i | \(-0.923441\pi\) |
0.645715 | − | 0.763578i | \(-0.276559\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.4523 | − | 13.4064i | −0.591553 | − | 0.429789i | ||||
\(974\) | −9.40252 | − | 6.83133i | −0.301276 | − | 0.218890i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.41850 | − | 16.6764i | −0.173442 | − | 0.533800i | ||||
\(977\) | −37.3174 | + | 27.1127i | −1.19389 | + | 0.867412i | −0.993670 | − | 0.112339i | \(-0.964166\pi\) |
−0.200220 | + | 0.979751i | \(0.564166\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.69320 | − | 1.37564i | −0.277836 | − | 0.0439656i | ||||
\(980\) | 7.72400 | 0.246734 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.75752 | − | 14.6422i | −0.151819 | − | 0.467250i | ||||
\(983\) | 4.99698 | − | 15.3791i | 0.159379 | − | 0.490518i | −0.839199 | − | 0.543824i | \(-0.816976\pi\) |
0.998578 | + | 0.0533060i | \(0.0169759\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.04363 | + | 5.11750i | 0.224429 | + | 0.163057i | ||||
\(986\) | 1.67117 | − | 5.14334i | 0.0532210 | − | 0.163797i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 7.77311 | − | 5.64749i | 0.247295 | − | 0.179671i | ||||
\(989\) | 23.0498 | 0.732940 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 60.7308 | 1.92918 | 0.964589 | − | 0.263758i | \(-0.0849622\pi\) | ||||
0.964589 | + | 0.263758i | \(0.0849622\pi\) | |||||||
\(992\) | 34.0881 | − | 24.7664i | 1.08230 | − | 0.786335i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4.04455 | − | 12.4478i | 0.128285 | − | 0.394822i | ||||
\(995\) | 15.3091 | + | 11.1227i | 0.485332 | + | 0.352614i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −14.5212 | + | 44.6916i | −0.459890 | + | 1.41540i | 0.405407 | + | 0.914137i | \(0.367130\pi\) |
−0.865297 | + | 0.501260i | \(0.832870\pi\) | |||||||
\(998\) | −4.96338 | − | 15.2757i | −0.157113 | − | 0.483544i | ||||
\(999\) | 0 | 0 |
(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 | 495.2.n.g.91.3 | ✓ | 16 | |
3.2 | odd | 2 | 495.2.n.h.91.2 | yes | 16 | ||
11.2 | odd | 10 | 5445.2.a.cb.1.6 | 8 | |||
11.4 | even | 5 | inner | 495.2.n.g.136.3 | yes | 16 | |
11.9 | even | 5 | 5445.2.a.cd.1.3 | 8 | |||
33.2 | even | 10 | 5445.2.a.cc.1.3 | 8 | |||
33.20 | odd | 10 | 5445.2.a.ca.1.6 | 8 | |||
33.26 | odd | 10 | 495.2.n.h.136.2 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
495.2.n.g.91.3 | ✓ | 16 | 1.1 | even | 1 | trivial | |
495.2.n.g.136.3 | yes | 16 | 11.4 | even | 5 | inner | |
495.2.n.h.91.2 | yes | 16 | 3.2 | odd | 2 | ||
495.2.n.h.136.2 | yes | 16 | 33.26 | odd | 10 | ||
5445.2.a.ca.1.6 | 8 | 33.20 | odd | 10 | |||
5445.2.a.cb.1.6 | 8 | 11.2 | odd | 10 | |||
5445.2.a.cc.1.3 | 8 | 33.2 | even | 10 | |||
5445.2.a.cd.1.3 | 8 | 11.9 | even | 5 |