Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(289,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.i (of order \(3\), degree \(2\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 321.1 | ||
Root | \(-0.707107 + 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 416.321 |
Dual form | 416.2.i.f.289.1 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.207107 | + | 0.358719i | −0.119573 | + | 0.207107i | −0.919599 | − | 0.392859i | \(-0.871486\pi\) |
0.800025 | + | 0.599966i | \(0.204819\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.82843 | −1.26491 | −0.632456 | − | 0.774597i | \(-0.717953\pi\) | ||||
−0.632456 | + | 0.774597i | \(0.717953\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.792893 | − | 1.37333i | −0.299685 | − | 0.519070i | 0.676378 | − | 0.736554i | \(-0.263548\pi\) |
−0.976064 | + | 0.217484i | \(0.930215\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.41421 | + | 2.44949i | 0.471405 | + | 0.816497i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.62132 | − | 4.54026i | 0.790358 | − | 1.36894i | −0.135388 | − | 0.990793i | \(-0.543228\pi\) |
0.925745 | − | 0.378147i | \(-0.123439\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.00000 | − | 3.46410i | −0.277350 | − | 0.960769i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.585786 | − | 1.01461i | 0.151249 | − | 0.261972i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.0857864 | + | 0.148586i | 0.0208063 | + | 0.0360375i | 0.876241 | − | 0.481873i | \(-0.160043\pi\) |
−0.855435 | + | 0.517911i | \(0.826710\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.62132 | − | 6.27231i | −0.830788 | − | 1.43897i | −0.897414 | − | 0.441189i | \(-0.854557\pi\) |
0.0666264 | − | 0.997778i | \(-0.478776\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.656854 | 0.143337 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.62132 | − | 6.27231i | 0.755097 | − | 1.30787i | −0.190228 | − | 0.981740i | \(-0.560923\pi\) |
0.945326 | − | 0.326127i | \(-0.105744\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.00000 | 0.600000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.41421 | −0.464616 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.32843 | − | 2.30090i | 0.246683 | − | 0.427267i | −0.715921 | − | 0.698182i | \(-0.753993\pi\) |
0.962603 | + | 0.270915i | \(0.0873261\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.65685 | −1.01600 | −0.508001 | − | 0.861357i | \(-0.669615\pi\) | ||||
−0.508001 | + | 0.861357i | \(0.669615\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.08579 | + | 1.88064i | 0.189011 | + | 0.327377i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.24264 | + | 3.88437i | 0.379075 | + | 0.656578i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.74264 | + | 8.21449i | −0.779685 | + | 1.35045i | 0.152438 | + | 0.988313i | \(0.451288\pi\) |
−0.932123 | + | 0.362142i | \(0.882046\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.44975 | + | 0.358719i | 0.232145 | + | 0.0574411i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.0857864 | − | 0.148586i | 0.0133976 | − | 0.0232053i | −0.859249 | − | 0.511558i | \(-0.829069\pi\) |
0.872646 | + | 0.488352i | \(0.162402\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.03553 | + | 8.72180i | 0.767912 | + | 1.33006i | 0.938693 | + | 0.344753i | \(0.112037\pi\) |
−0.170782 | + | 0.985309i | \(0.554629\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.00000 | − | 6.92820i | −0.596285 | − | 1.03280i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6.00000 | 0.875190 | 0.437595 | − | 0.899172i | \(-0.355830\pi\) | ||||
0.437595 | + | 0.899172i | \(0.355830\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.24264 | − | 3.88437i | 0.320377 | − | 0.554910i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.0710678 | −0.00995148 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.82843 | 0.388514 | 0.194257 | − | 0.980951i | \(-0.437770\pi\) | ||||
0.194257 | + | 0.980951i | \(0.437770\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.41421 | + | 12.8418i | −0.999732 | + | 1.73159i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.00000 | 0.397360 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.62132 | − | 6.27231i | −0.471456 | − | 0.816585i | 0.528011 | − | 0.849238i | \(-0.322938\pi\) |
−0.999467 | + | 0.0326522i | \(0.989605\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.50000 | − | 6.06218i | −0.448129 | − | 0.776182i | 0.550135 | − | 0.835076i | \(-0.314576\pi\) |
−0.998264 | + | 0.0588933i | \(0.981243\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 2.24264 | − | 3.88437i | 0.282546 | − | 0.489384i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.82843 | + | 9.79796i | 0.350823 | + | 1.21529i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.37868 | + | 4.11999i | −0.290602 | + | 0.503337i | −0.973952 | − | 0.226753i | \(-0.927189\pi\) |
0.683350 | + | 0.730091i | \(0.260522\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.50000 | + | 2.59808i | 0.180579 | + | 0.312772i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.621320 | − | 1.07616i | −0.0737372 | − | 0.127717i | 0.826799 | − | 0.562497i | \(-0.190159\pi\) |
−0.900536 | + | 0.434781i | \(0.856826\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.48528 | −0.524962 | −0.262481 | − | 0.964937i | \(-0.584541\pi\) | ||||
−0.262481 | + | 0.964937i | \(0.584541\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.621320 | + | 1.07616i | −0.0717439 | + | 0.124264i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −8.31371 | −0.947435 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.00000 | −0.675053 | −0.337526 | − | 0.941316i | \(-0.609590\pi\) | ||||
−0.337526 | + | 0.941316i | \(0.609590\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3.74264 | + | 6.48244i | −0.415849 | + | 0.720272i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.00000 | 0.439057 | 0.219529 | − | 0.975606i | \(-0.429548\pi\) | ||||
0.219529 | + | 0.975606i | \(0.429548\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.242641 | − | 0.420266i | −0.0263181 | − | 0.0455842i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.550253 | + | 0.953065i | 0.0589933 | + | 0.102179i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 7.32843 | − | 12.6932i | 0.776812 | − | 1.34548i | −0.156959 | − | 0.987605i | \(-0.550169\pi\) |
0.933771 | − | 0.357872i | \(-0.116498\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.96447 | + | 4.11999i | −0.415589 | + | 0.431893i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.17157 | − | 2.02922i | 0.121486 | − | 0.210421i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 10.2426 | + | 17.7408i | 1.05087 | + | 1.82017i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.50000 | + | 7.79423i | 0.456906 | + | 0.791384i | 0.998796 | − | 0.0490655i | \(-0.0156243\pi\) |
−0.541890 | + | 0.840450i | \(0.682291\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 14.8284 | 1.49031 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.08579 | + | 5.34474i | −0.307047 | + | 0.531821i | −0.977715 | − | 0.209936i | \(-0.932674\pi\) |
0.670668 | + | 0.741758i | \(0.266008\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.85786 | −0.181309 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −5.37868 | + | 9.31615i | −0.519977 | + | 0.900626i | 0.479754 | + | 0.877403i | \(0.340726\pi\) |
−0.999730 | + | 0.0232227i | \(0.992607\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.48528 | 0.812743 | 0.406371 | − | 0.913708i | \(-0.366794\pi\) | ||||
0.406371 | + | 0.913708i | \(0.366794\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.96447 | − | 3.40256i | −0.186459 | − | 0.322956i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.91421 | + | 5.04757i | 0.274146 | + | 0.474835i | 0.969919 | − | 0.243426i | \(-0.0782715\pi\) |
−0.695773 | + | 0.718262i | \(0.744938\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.2426 | + | 17.7408i | −0.955131 | + | 1.65434i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 7.07107 | − | 7.34847i | 0.653720 | − | 0.679366i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.136039 | − | 0.235626i | 0.0124707 | − | 0.0215998i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.24264 | − | 14.2767i | −0.749331 | − | 1.29788i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.0355339 | + | 0.0615465i | 0.00320398 | + | 0.00554946i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.65685 | 0.505964 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.20711 | + | 3.82282i | −0.195849 | + | 0.339221i | −0.947179 | − | 0.320707i | \(-0.896080\pi\) |
0.751329 | + | 0.659927i | \(0.229413\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.17157 | −0.367287 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.00000 | −0.349482 | −0.174741 | − | 0.984614i | \(-0.555909\pi\) | ||||
−0.174741 | + | 0.984614i | \(0.555909\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.74264 | + | 9.94655i | −0.497950 | + | 0.862475i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 6.82843 | 0.587697 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −10.3284 | − | 17.8894i | −0.882417 | − | 1.52839i | −0.848646 | − | 0.528962i | \(-0.822582\pi\) |
−0.0337713 | − | 0.999430i | \(-0.510752\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.62132 | − | 6.27231i | −0.307156 | − | 0.532010i | 0.670583 | − | 0.741835i | \(-0.266044\pi\) |
−0.977739 | + | 0.209824i | \(0.932711\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.24264 | + | 2.15232i | −0.104649 | + | 0.181258i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −18.3492 | − | 4.54026i | −1.53444 | − | 0.379676i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.75736 | + | 6.50794i | −0.312032 | + | 0.540455i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.928932 | + | 1.60896i | 0.0766170 | + | 0.132705i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 7.32843 | + | 12.6932i | 0.600368 | + | 1.03987i | 0.992765 | + | 0.120072i | \(0.0383126\pi\) |
−0.392397 | + | 0.919796i | \(0.628354\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 16.9706 | 1.38104 | 0.690522 | − | 0.723311i | \(-0.257381\pi\) | ||||
0.690522 | + | 0.723311i | \(0.257381\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.242641 | + | 0.420266i | −0.0196163 | + | 0.0339765i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 16.0000 | 1.28515 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 16.4853 | 1.31567 | 0.657834 | − | 0.753163i | \(-0.271473\pi\) | ||||
0.657834 | + | 0.753163i | \(0.271473\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.585786 | + | 1.01461i | −0.0464559 | + | 0.0804640i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −11.4853 | −0.905167 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −12.6213 | − | 21.8608i | −0.988578 | − | 1.71227i | −0.624807 | − | 0.780779i | \(-0.714822\pi\) |
−0.363771 | − | 0.931488i | \(-0.618511\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −3.07107 | − | 5.31925i | −0.239082 | − | 0.414103i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.86396 | + | 8.42463i | −0.376385 | + | 0.651917i | −0.990533 | − | 0.137273i | \(-0.956166\pi\) |
0.614149 | + | 0.789190i | \(0.289500\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.0000 | + | 6.92820i | −0.846154 | + | 0.532939i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 10.2426 | − | 17.7408i | 0.783274 | − | 1.35667i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.50000 | + | 7.79423i | 0.342129 | + | 0.592584i | 0.984828 | − | 0.173534i | \(-0.0555188\pi\) |
−0.642699 | + | 0.766119i | \(0.722185\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.37868 | − | 4.11999i | −0.179811 | − | 0.311442i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 3.00000 | 0.225494 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 10.6213 | − | 18.3967i | 0.793875 | − | 1.37503i | −0.129676 | − | 0.991556i | \(-0.541394\pi\) |
0.923551 | − | 0.383475i | \(-0.125273\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 16.4853 | 1.22534 | 0.612671 | − | 0.790338i | \(-0.290095\pi\) | ||||
0.612671 | + | 0.790338i | \(0.290095\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.89949 | 0.214337 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 13.4142 | − | 23.2341i | 0.986233 | − | 1.70820i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.899495 | 0.0657776 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.91421 | + | 3.31552i | 0.139239 | + | 0.241168i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −7.62132 | − | 13.2005i | −0.551459 | − | 0.955156i | −0.998170 | − | 0.0604770i | \(-0.980738\pi\) |
0.446710 | − | 0.894679i | \(-0.352596\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.25736 | − | 2.17781i | 0.0905067 | − | 0.156762i | −0.817218 | − | 0.576329i | \(-0.804485\pi\) |
0.907724 | + | 0.419567i | \(0.137818\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.10051 | − | 1.01461i | −0.293643 | − | 0.0726579i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.50000 | + | 2.59808i | −0.106871 | + | 0.185105i | −0.914501 | − | 0.404584i | \(-0.867416\pi\) |
0.807630 | + | 0.589689i | \(0.200750\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.10660 | − | 15.7731i | −0.645550 | − | 1.11813i | −0.984174 | − | 0.177204i | \(-0.943295\pi\) |
0.338624 | − | 0.940922i | \(-0.390038\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.985281 | − | 1.70656i | −0.0694964 | − | 0.120371i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.21320 | −0.295709 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.242641 | + | 0.420266i | −0.0169468 | + | 0.0293527i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 20.4853 | 1.42383 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −37.9706 | −2.62648 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.20711 | + | 14.2151i | −0.565001 | + | 0.978610i | 0.432049 | + | 0.901850i | \(0.357791\pi\) |
−0.997050 | + | 0.0767595i | \(0.975543\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.514719 | 0.0352679 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −14.2426 | − | 24.6690i | −0.971340 | − | 1.68241i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.48528 | + | 7.76874i | 0.304481 | + | 0.527376i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.928932 | − | 1.60896i | 0.0627714 | − | 0.108723i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.428932 | − | 0.445759i | 0.0288531 | − | 0.0299850i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.44975 | − | 11.1713i | 0.431907 | − | 0.748085i | −0.565130 | − | 0.825002i | \(-0.691174\pi\) |
0.997038 | + | 0.0769166i | \(0.0245075\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.24264 | + | 7.34847i | 0.282843 | + | 0.489898i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 4.86396 | + | 8.42463i | 0.322832 | + | 0.559162i | 0.981071 | − | 0.193647i | \(-0.0620316\pi\) |
−0.658239 | + | 0.752809i | \(0.728698\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.48528 | −0.560723 | −0.280362 | − | 0.959894i | \(-0.590454\pi\) | ||||
−0.280362 | + | 0.959894i | \(0.590454\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.72183 | − | 2.98229i | 0.113288 | − | 0.196220i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −3.51472 | −0.230257 | −0.115128 | − | 0.993351i | \(-0.536728\pi\) | ||||
−0.115128 | + | 0.993351i | \(0.536728\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −16.9706 | −1.10704 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.24264 | − | 2.15232i | 0.0807182 | − | 0.139808i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 24.9706 | 1.61521 | 0.807606 | − | 0.589723i | \(-0.200763\pi\) | ||||
0.807606 | + | 0.589723i | \(0.200763\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.2279 | + | 17.7153i | 0.658838 | + | 1.14114i | 0.980917 | + | 0.194429i | \(0.0622852\pi\) |
−0.322078 | + | 0.946713i | \(0.604381\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −5.17157 | − | 8.95743i | −0.331757 | − | 0.574619i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −6.34315 | + | 10.9867i | −0.405249 | + | 0.701911i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −18.1066 | + | 18.8169i | −1.15210 | + | 1.19729i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.828427 | + | 1.43488i | −0.0524994 | + | 0.0909317i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.86396 | + | 6.69258i | 0.243891 | + | 0.422432i | 0.961819 | − | 0.273685i | \(-0.0882427\pi\) |
−0.717928 | + | 0.696117i | \(0.754909\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −18.9853 | − | 32.8835i | −1.19359 | − | 2.06737i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.201010 | 0.0125877 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 11.3995 | − | 19.7445i | 0.711081 | − | 1.23163i | −0.253371 | − | 0.967369i | \(-0.581539\pi\) |
0.964452 | − | 0.264259i | \(-0.0851274\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.0416 | 0.934641 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 7.51472 | 0.465149 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.378680 | + | 0.655892i | −0.0233504 | + | 0.0404441i | −0.877464 | − | 0.479642i | \(-0.840767\pi\) |
0.854114 | + | 0.520086i | \(0.174100\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.00000 | −0.491436 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.03553 | + | 5.25770i | 0.185772 | + | 0.321766i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 5.74264 | + | 9.94655i | 0.350135 | + | 0.606452i | 0.986273 | − | 0.165124i | \(-0.0528024\pi\) |
−0.636138 | + | 0.771575i | \(0.719469\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.37868 | + | 14.5123i | −0.508969 | + | 0.881559i | 0.490978 | + | 0.871172i | \(0.336640\pi\) |
−0.999946 | + | 0.0103871i | \(0.996694\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.656854 | − | 2.27541i | −0.0397546 | − | 0.137714i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 7.86396 | − | 13.6208i | 0.474215 | − | 0.821364i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.74264 | + | 3.01834i | 0.104705 | + | 0.181355i | 0.913618 | − | 0.406574i | \(-0.133277\pi\) |
−0.808913 | + | 0.587929i | \(0.799943\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −8.00000 | − | 13.8564i | −0.478947 | − | 0.829561i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 26.1421 | 1.55951 | 0.779755 | − | 0.626085i | \(-0.215344\pi\) | ||||
0.779755 | + | 0.626085i | \(0.215344\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.79289 | − | 6.56948i | 0.225464 | − | 0.390515i | −0.730994 | − | 0.682383i | \(-0.760943\pi\) |
0.956459 | + | 0.291868i | \(0.0942768\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −8.48528 | −0.502625 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.272078 | −0.0160603 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.48528 | − | 14.6969i | 0.499134 | − | 0.864526i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.72792 | −0.218535 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 10.1569 | + | 17.5922i | 0.593370 | + | 1.02775i | 0.993775 | + | 0.111408i | \(0.0355361\pi\) |
−0.400405 | + | 0.916338i | \(0.631131\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.2426 | + | 17.7408i | 0.596350 | + | 1.03291i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −6.32843 | + | 10.9612i | −0.367213 | + | 0.636031i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −25.3492 | − | 6.27231i | −1.46598 | − | 0.362737i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.98528 | − | 13.8309i | 0.460264 | − | 0.797201i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.27817 | − | 2.21386i | −0.0734292 | − | 0.127183i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.89949 | + | 17.1464i | 0.566843 | + | 0.981802i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.0000 | 0.684876 | 0.342438 | − | 0.939540i | \(-0.388747\pi\) | ||||
0.342438 | + | 0.939540i | \(0.388747\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 24.0000 | 1.36092 | 0.680458 | − | 0.732787i | \(-0.261781\pi\) | ||||
0.680458 | + | 0.732787i | \(0.261781\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.51472 | 0.198664 | 0.0993318 | − | 0.995054i | \(-0.468329\pi\) | ||||
0.0993318 | + | 0.995054i | \(0.468329\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −6.34315 | + | 10.9867i | −0.357396 | + | 0.619028i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.31371 | 0.298448 | 0.149224 | − | 0.988803i | \(-0.452323\pi\) | ||||
0.149224 | + | 0.988803i | \(0.452323\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.96447 | − | 12.0628i | −0.389935 | − | 0.675388i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −2.22792 | − | 3.85887i | −0.124350 | − | 0.215381i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.621320 | − | 1.07616i | 0.0345712 | − | 0.0598791i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.00000 | − | 10.3923i | −0.166410 | − | 0.576461i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.75736 | + | 3.04384i | −0.0971822 | + | 0.168324i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −4.75736 | − | 8.23999i | −0.262282 | − | 0.454285i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.621320 | − | 1.07616i | −0.0341509 | − | 0.0591510i | 0.848445 | − | 0.529284i | \(-0.177539\pi\) |
−0.882596 | + | 0.470133i | \(0.844206\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −26.8284 | −1.47019 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 6.72792 | − | 11.6531i | 0.367586 | − | 0.636677i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.4853 | −0.680117 | −0.340058 | − | 0.940404i | \(-0.610447\pi\) | ||||
−0.340058 | + | 0.940404i | \(0.610447\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.41421 | −0.131122 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −14.8284 | + | 25.6836i | −0.803004 | + | 1.39084i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.2132 | −0.983421 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −4.24264 | − | 7.34847i | −0.228416 | − | 0.395628i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 11.3787 | + | 19.7085i | 0.610840 | + | 1.05801i | 0.991099 | + | 0.133125i | \(0.0425013\pi\) |
−0.380260 | + | 0.924880i | \(0.624165\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 8.22792 | − | 14.2512i | 0.440431 | − | 0.762848i | −0.557291 | − | 0.830317i | \(-0.688159\pi\) |
0.997721 | + | 0.0674693i | \(0.0214925\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.41421 | + | 8.36308i | 0.128861 | + | 0.446388i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.67157 | − | 2.89525i | 0.0889688 | − | 0.154099i | −0.818107 | − | 0.575066i | \(-0.804976\pi\) |
0.907076 | + | 0.420968i | \(0.138310\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.75736 | + | 3.04384i | 0.0932709 | + | 0.161550i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.0563492 | + | 0.0975997i | 0.00298232 | + | 0.00516552i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −8.00000 | −0.422224 | −0.211112 | − | 0.977462i | \(-0.567708\pi\) | ||||
−0.211112 | + | 0.977462i | \(0.567708\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.7279 | + | 28.9736i | −0.880417 | + | 1.52493i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 6.82843 | 0.358399 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 12.6863 | 0.664031 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.8640 | + | 29.2092i | −0.880292 | + | 1.52471i | −0.0292747 | + | 0.999571i | \(0.509320\pi\) |
−0.851017 | + | 0.525138i | \(0.824014\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0.485281 | 0.0252627 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.24264 | − | 3.88437i | −0.116432 | − | 0.201666i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −10.2574 | − | 17.7663i | −0.531106 | − | 0.919902i | −0.999341 | − | 0.0362985i | \(-0.988443\pi\) |
0.468235 | − | 0.883604i | \(-0.344890\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −1.17157 | + | 2.02922i | −0.0604998 | + | 0.104789i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −9.29899 | − | 2.30090i | −0.478922 | − | 0.118503i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.69239 | + | 8.12745i | −0.241032 | + | 0.417479i | −0.961008 | − | 0.276519i | \(-0.910819\pi\) |
0.719977 | + | 0.693998i | \(0.244152\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.914214 | − | 1.58346i | −0.0468366 | − | 0.0811233i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4.86396 | + | 8.42463i | 0.248537 | + | 0.430478i | 0.963120 | − | 0.269072i | \(-0.0867170\pi\) |
−0.714583 | + | 0.699550i | \(0.753384\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 23.5147 | 1.19842 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −14.2426 | + | 24.6690i | −0.723994 | + | 1.25399i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 28.6274 | 1.45147 | 0.725734 | − | 0.687976i | \(-0.241500\pi\) | ||||
0.725734 | + | 0.687976i | \(0.241500\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.24264 | 0.0628430 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.828427 | − | 1.43488i | 0.0417886 | − | 0.0723800i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 16.9706 | 0.853882 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.74264 | − | 4.75039i | −0.137649 | − | 0.238415i | 0.788957 | − | 0.614448i | \(-0.210621\pi\) |
−0.926606 | + | 0.376033i | \(0.877288\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −2.37868 | − | 4.11999i | −0.119083 | − | 0.206258i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.57107 | − | 14.8455i | 0.428019 | − | 0.741350i | −0.568678 | − | 0.822560i | \(-0.692545\pi\) |
0.996697 | + | 0.0812099i | \(0.0258784\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.65685 | + | 19.5959i | 0.281788 | + | 0.976142i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 10.5858 | − | 18.3351i | 0.526012 | − | 0.911079i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 24.8640 | + | 43.0656i | 1.23246 | + | 2.13468i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.7426 | + | 23.8030i | 0.679530 | + | 1.17698i | 0.975123 | + | 0.221666i | \(0.0711495\pi\) |
−0.295593 | + | 0.955314i | \(0.595517\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.55635 | 0.422054 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −5.74264 | + | 9.94655i | −0.282577 | + | 0.489438i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −11.3137 | −0.555368 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.00000 | 0.146911 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.86396 | + | 11.8887i | −0.335326 | + | 0.580802i | −0.983547 | − | 0.180650i | \(-0.942180\pi\) |
0.648221 | + | 0.761452i | \(0.275513\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.4853 | −0.803443 | −0.401722 | − | 0.915762i | \(-0.631588\pi\) | ||||
−0.401722 | + | 0.915762i | \(0.631588\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 8.48528 | + | 14.6969i | 0.412568 | + | 0.714590i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.257359 | + | 0.445759i | 0.0124838 | + | 0.0216225i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.55025 | + | 9.61332i | −0.268596 | + | 0.465221i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 5.42893 | − | 5.64191i | 0.262111 | − | 0.272394i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.3492 | + | 21.3895i | −0.594842 | + | 1.03030i | 0.398727 | + | 0.917070i | \(0.369452\pi\) |
−0.993569 | + | 0.113227i | \(0.963881\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.74264 | + | 16.8747i | 0.468201 | + | 0.810949i | 0.999340 | − | 0.0363365i | \(-0.0115688\pi\) |
−0.531138 | + | 0.847285i | \(0.678235\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.55635 | − | 2.69568i | −0.0746212 | − | 0.129248i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −52.4558 | −2.50930 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.96447 | − | 12.0628i | 0.332396 | − | 0.575726i | −0.650585 | − | 0.759433i | \(-0.725476\pi\) |
0.982981 | + | 0.183707i | \(0.0588097\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 12.6863 | 0.604109 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.97056 | 0.236159 | 0.118079 | − | 0.993004i | \(-0.462326\pi\) | ||||
0.118079 | + | 0.993004i | \(0.462326\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −20.7279 | + | 35.9018i | −0.982598 | + | 1.70191i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.07107 | −0.287152 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −14.7426 | − | 25.5350i | −0.695748 | − | 1.20507i | −0.969928 | − | 0.243393i | \(-0.921740\pi\) |
0.274180 | − | 0.961679i | \(-0.411594\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.449747 | − | 0.778985i | −0.0211778 | − | 0.0366810i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −3.51472 | + | 6.08767i | −0.165136 | + | 0.286024i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 11.2132 | − | 11.6531i | 0.525683 | − | 0.546306i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.5000 | + | 26.8468i | −0.725059 | + | 1.25584i | 0.233890 | + | 0.972263i | \(0.424854\pi\) |
−0.958950 | + | 0.283577i | \(0.908479\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.207107 | − | 0.358719i | −0.00966692 | − | 0.0167436i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −20.3995 | − | 35.3330i | −0.950099 | − | 1.64562i | −0.745204 | − | 0.666836i | \(-0.767648\pi\) |
−0.204895 | − | 0.978784i | \(-0.565685\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 29.6569 | 1.37827 | 0.689135 | − | 0.724633i | \(-0.257990\pi\) | ||||
0.689135 | + | 0.724633i | \(0.257990\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.31371 | + | 5.73951i | −0.153670 | + | 0.266163i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −26.9706 | −1.24805 | −0.624024 | − | 0.781405i | \(-0.714503\pi\) | ||||
−0.624024 | + | 0.781405i | \(0.714503\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.54416 | 0.348357 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.41421 | + | 5.91359i | −0.157319 | + | 0.272484i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 52.7990 | 2.42770 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.8640 | − | 18.8169i | −0.498473 | − | 0.863380i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.00000 | + | 6.92820i | 0.183147 | + | 0.317221i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 8.62132 | − | 14.9326i | 0.393918 | − | 0.682286i | −0.599044 | − | 0.800716i | \(-0.704453\pi\) |
0.992962 | + | 0.118430i | \(0.0377860\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 33.1985 | + | 8.21449i | 1.51372 | + | 0.374549i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.37868 | − | 4.11999i | 0.108234 | − | 0.187466i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −12.7279 | − | 22.0454i | −0.577945 | − | 1.00103i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.44975 | − | 5.97514i | −0.156323 | − | 0.270759i | 0.777217 | − | 0.629233i | \(-0.216631\pi\) |
−0.933540 | + | 0.358473i | \(0.883297\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 10.4558 | 0.472830 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 10.1066 | − | 17.5051i | 0.456105 | − | 0.789996i | −0.542646 | − | 0.839961i | \(-0.682578\pi\) |
0.998751 | + | 0.0499650i | \(0.0159110\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.455844 | 0.0205302 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −41.9411 | −1.88511 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.985281 | + | 1.70656i | −0.0441959 | + | 0.0765496i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.34315 | −0.283958 | −0.141979 | − | 0.989870i | \(-0.545347\pi\) | ||||
−0.141979 | + | 0.989870i | \(0.545347\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.01472 | − | 3.48960i | −0.0900110 | − | 0.155904i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −11.6213 | − | 20.1287i | −0.518169 | − | 0.897495i | −0.999777 | − | 0.0211085i | \(-0.993280\pi\) |
0.481608 | − | 0.876387i | \(-0.340053\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.72792 | − | 15.1172i | 0.388387 | − | 0.672707i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.207107 | − | 5.38079i | −0.00919794 | − | 0.238969i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −11.5711 | + | 20.0417i | −0.512879 | + | 0.888332i | 0.487010 | + | 0.873396i | \(0.338088\pi\) |
−0.999888 | + | 0.0149353i | \(0.995246\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.55635 | + | 6.15978i | 0.157324 | + | 0.272493i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 8.74264 | + | 15.1427i | 0.385997 | + | 0.668566i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.7279 | − | 27.2416i | 0.691713 | − | 1.19808i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.72792 | −0.163638 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.8284 | −0.649645 | −0.324823 | − | 0.945775i | \(-0.605305\pi\) | ||||
−0.324823 | + | 0.945775i | \(0.605305\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.79289 | − | 11.7656i | 0.297032 | − | 0.514475i | −0.678423 | − | 0.734671i | \(-0.737336\pi\) |
0.975456 | + | 0.220196i | \(0.0706697\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.97056 | 0.0860024 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.485281 | − | 0.840532i | −0.0211392 | − | 0.0366141i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −14.7279 | − | 25.5095i | −0.640344 | − | 1.10911i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 10.2426 | − | 17.7408i | 0.444493 | − | 0.769884i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.600505 | − | 0.148586i | −0.0260108 | − | 0.00643599i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15.2132 | − | 26.3500i | 0.657724 | − | 1.13921i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.39949 | + | 7.62015i | 0.189852 | + | 0.328834i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −11.7574 | − | 20.3643i | −0.506425 | − | 0.877154i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.00000 | −0.0859867 | −0.0429934 | − | 0.999075i | \(-0.513689\pi\) | ||||
−0.0429934 | + | 0.999075i | \(0.513689\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −3.41421 | + | 5.91359i | −0.146518 | + | 0.253776i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −24.0000 | −1.02805 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 36.0000 | 1.53925 | 0.769624 | − | 0.638497i | \(-0.220443\pi\) | ||||
0.769624 | + | 0.638497i | \(0.220443\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 9.89949 | − | 17.1464i | 0.422500 | − | 0.731792i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −19.2426 | −0.819764 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.75736 | + | 8.23999i | 0.202303 | + | 0.350400i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 5.55635 | + | 9.62388i | 0.235854 | + | 0.408511i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.32843 | − | 2.30090i | 0.0562873 | − | 0.0974924i | −0.836509 | − | 0.547954i | \(-0.815407\pi\) |
0.892796 | + | 0.450461i | \(0.148740\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 25.1777 | − | 26.1654i | 1.06490 | − | 1.10668i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.186292 | + | 0.322666i | −0.00786523 | + | 0.0136230i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 13.3492 | + | 23.1216i | 0.562603 | + | 0.974458i | 0.997268 | + | 0.0738655i | \(0.0235335\pi\) |
−0.434665 | + | 0.900592i | \(0.643133\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −8.24264 | − | 14.2767i | −0.346770 | − | 0.600624i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 11.8701 | 0.498496 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −3.98528 | + | 6.90271i | −0.167072 | + | 0.289377i | −0.937389 | − | 0.348284i | \(-0.886764\pi\) |
0.770317 | + | 0.637661i | \(0.220098\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.2843 | −0.681476 | −0.340738 | − | 0.940158i | \(-0.610677\pi\) | ||||
−0.340738 | + | 0.940158i | \(0.610677\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.31371 | 0.263759 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 10.8640 | − | 18.8169i | 0.453058 | − | 0.784720i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.4853 | −0.519769 | −0.259885 | − | 0.965640i | \(-0.583685\pi\) | ||||
−0.259885 | + | 0.965640i | \(0.583685\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.520815 | + | 0.902079i | 0.0216443 | + | 0.0374891i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.17157 | − | 5.49333i | −0.131579 | − | 0.227902i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.41421 | − | 12.8418i | 0.307065 | − | 0.531853i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −20.0000 | + | 20.7846i | −0.826898 | + | 0.859338i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −19.3492 | + | 33.5139i | −0.798629 | + | 1.38327i | 0.121881 | + | 0.992545i | \(0.461108\pi\) |
−0.920509 | + | 0.390721i | \(0.872226\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 20.4853 | + | 35.4815i | 0.844081 | + | 1.46199i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.621320 | − | 1.07616i | −0.0255577 | − | 0.0442672i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 9.17157 | 0.376631 | 0.188316 | − | 0.982109i | \(-0.439697\pi\) | ||||
0.188316 | + | 0.982109i | \(0.439697\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.384776 | + | 0.666452i | −0.0157743 | + | 0.0273219i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 7.54416 | 0.308762 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −19.9411 | −0.814772 | −0.407386 | − | 0.913256i | \(-0.633560\pi\) | ||||
−0.407386 | + | 0.913256i | \(0.633560\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.7426 | − | 23.8030i | 0.560574 | − | 0.970943i | −0.436872 | − | 0.899523i | \(-0.643914\pi\) |
0.997446 | − | 0.0714192i | \(-0.0227528\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −13.4558 | −0.547964 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 23.3137 | + | 40.3805i | 0.947837 | + | 1.64170i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.20711 | + | 3.82282i | 0.0895837 | + | 0.155164i | 0.907335 | − | 0.420408i | \(-0.138113\pi\) |
−0.817752 | + | 0.575571i | \(0.804780\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.872583 | − | 1.51136i | 0.0353588 | − | 0.0612433i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.00000 | − | 20.7846i | −0.242734 | − | 0.840855i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.7426 | − | 27.2671i | 0.635839 | − | 1.10131i | −0.350497 | − | 0.936564i | \(-0.613987\pi\) |
0.986337 | − | 0.164742i | \(-0.0526792\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.100505 | − | 0.174080i | −0.00405276 | − | 0.00701958i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 10.8431 | + | 18.7809i | 0.436529 | + | 0.756090i | 0.997419 | − | 0.0718003i | \(-0.0228744\pi\) |
−0.560890 | + | 0.827890i | \(0.689541\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 28.9706 | 1.16443 | 0.582213 | − | 0.813037i | \(-0.302187\pi\) | ||||
0.582213 | + | 0.813037i | \(0.302187\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −8.74264 | + | 15.1427i | −0.350830 | + | 0.607656i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −23.2426 | −0.931197 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −31.0000 | −1.24000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 7.86396 | − | 13.6208i | 0.314056 | − | 0.543962i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.62742 | −0.0648894 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.621320 | − | 1.07616i | −0.0247344 | − | 0.0428412i | 0.853393 | − | 0.521268i | \(-0.174541\pi\) |
−0.878128 | + | 0.478426i | \(0.841207\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.39949 | − | 5.88810i | −0.135118 | − | 0.234031i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 6.24264 | − | 10.8126i | 0.247732 | − | 0.429084i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −15.6985 | − | 3.88437i | −0.621997 | − | 0.153904i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.75736 | − | 3.04384i | 0.0695201 | − | 0.120412i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −8.39949 | − | 14.5484i | −0.331760 | − | 0.574625i | 0.651097 | − | 0.758995i | \(-0.274309\pi\) |
−0.982857 | + | 0.184369i | \(0.940976\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.1066 | − | 36.5577i | −0.832363 | − | 1.44170i | −0.896159 | − | 0.443732i | \(-0.853654\pi\) |
0.0637963 | − | 0.997963i | \(-0.479679\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 11.7990 | 0.464585 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −7.37868 | + | 12.7802i | −0.290086 | + | 0.502443i | −0.973830 | − | 0.227279i | \(-0.927017\pi\) |
0.683744 | + | 0.729722i | \(0.260351\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −37.9706 | −1.49047 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −3.71573 | −0.145631 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.57107 | − | 4.45322i | 0.100614 | − | 0.174268i | −0.811324 | − | 0.584597i | \(-0.801253\pi\) |
0.911938 | + | 0.410329i | \(0.134586\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.3137 | 0.442063 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −6.34315 | − | 10.9867i | −0.247470 | − | 0.428630i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −9.10660 | − | 15.7731i | −0.354743 | − | 0.614433i | 0.632331 | − | 0.774698i | \(-0.282098\pi\) |
−0.987074 | + | 0.160266i | \(0.948765\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.2279 | + | 22.9114i | −0.514507 | + | 0.891151i | 0.485352 | + | 0.874319i | \(0.338692\pi\) |
−0.999858 | + | 0.0168325i | \(0.994642\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.0710678 | + | 0.246186i | 0.00276005 | + | 0.00956108i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 16.2426 | − | 28.1331i | 0.629863 | − | 1.09095i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.62132 | − | 16.6646i | −0.372539 | − | 0.645256i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.67157 | + | 4.62730i | 0.103289 | + | 0.178902i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −36.6985 | −1.41673 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 20.9853 | − | 36.3476i | 0.808923 | − | 1.40110i | −0.104687 | − | 0.994505i | \(-0.533384\pi\) |
0.913610 | − | 0.406591i | \(-0.133283\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −7.24264 | −0.278769 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 25.4558 | 0.978348 | 0.489174 | − | 0.872186i | \(-0.337298\pi\) | ||||
0.489174 | + | 0.872186i | \(0.337298\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.13604 | − | 12.3600i | 0.273856 | − | 0.474333i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −4.02944 | −0.154408 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0.378680 | + | 0.655892i | 0.0144898 | + | 0.0250970i | 0.873179 | − | 0.487399i | \(-0.162054\pi\) |
−0.858690 | + | 0.512496i | \(0.828721\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 29.2132 | + | 50.5988i | 1.11618 | + | 1.93328i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1.75736 | − | 3.04384i | 0.0670474 | − | 0.116130i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.82843 | − | 9.79796i | −0.107754 | − | 0.373273i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.964466 | − | 1.67050i | 0.0366900 | − | 0.0635490i | −0.847097 | − | 0.531438i | \(-0.821652\pi\) |
0.883787 | + | 0.467889i | \(0.154985\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −11.7574 | − | 20.3643i | −0.446625 | − | 0.773577i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 10.2426 | + | 17.7408i | 0.388526 | + | 0.672946i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.0294373 | 0.00111502 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0.727922 | − | 1.26080i | 0.0275325 | − | 0.0476878i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.48528 | 0.320485 | 0.160242 | − | 0.987078i | \(-0.448772\pi\) | ||||
0.160242 | + | 0.987078i | \(0.448772\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 68.6985 | 2.59101 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.51472 | − | 6.08767i | 0.132372 | − | 0.229275i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 9.78680 | 0.368070 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.25736 | + | 2.17781i | 0.0472211 | + | 0.0817894i | 0.888670 | − | 0.458548i | \(-0.151630\pi\) |
−0.841449 | + | 0.540337i | \(0.818297\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.48528 | − | 14.6969i | −0.318223 | − | 0.551178i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −20.4853 | + | 35.4815i | −0.767180 | + | 1.32879i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 51.8995 | + | 12.8418i | 1.94093 | + | 0.480256i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −5.17157 | + | 8.95743i | −0.193136 | + | 0.334521i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −15.6213 | − | 27.0569i | −0.582577 | − | 1.00905i | −0.995173 | − | 0.0981387i | \(-0.968711\pi\) |
0.412596 | − | 0.910914i | \(-0.364622\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8.47309 | −0.315118 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.98528 | − | 6.90271i | 0.148010 | − | 0.256360i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.6863 | −0.470509 | −0.235254 | − | 0.971934i | \(-0.575592\pi\) | ||||
−0.235254 | + | 0.971934i | \(0.575592\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −18.1716 | −0.673021 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.863961 | + | 1.49642i | −0.0319548 | + | 0.0553473i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −23.9411 | −0.884286 | −0.442143 | − | 0.896945i | \(-0.645782\pi\) | ||||
−0.442143 | + | 0.896945i | \(0.645782\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.62742 | − | 4.55082i | −0.0969137 | − | 0.167860i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 12.4706 | + | 21.5996i | 0.459359 | + | 0.795633i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.10660 | − | 10.5769i | 0.224635 | − | 0.389079i | −0.731575 | − | 0.681761i | \(-0.761214\pi\) |
0.956210 | + | 0.292682i | \(0.0945477\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.00000 | − | 10.3923i | −0.110208 | − | 0.381771i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.621320 | − | 1.07616i | 0.0227940 | − | 0.0394804i | −0.854403 | − | 0.519610i | \(-0.826077\pi\) |
0.877197 | + | 0.480130i | \(0.159410\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.7279 | − | 35.9018i | −0.759412 | − | 1.31534i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 5.65685 | + | 9.79796i | 0.206973 | + | 0.358489i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 17.0589 | 0.623318 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.4497 | − | 31.9559i | 0.673241 | − | 1.16609i | −0.303739 | − | 0.952755i | \(-0.598235\pi\) |
0.976980 | − | 0.213332i | \(-0.0684316\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −3.20101 | −0.116651 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −48.0000 | −1.74690 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.25736 | − | 5.64191i | 0.118391 | − | 0.205059i | −0.800739 | − | 0.599013i | \(-0.795560\pi\) |
0.919130 | + | 0.393954i | \(0.128893\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 15.7279 | 0.570887 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.25736 | − | 10.8381i | −0.226829 | − | 0.392880i | 0.730038 | − | 0.683407i | \(-0.239503\pi\) |
−0.956867 | + | 0.290528i | \(0.906169\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.72792 | − | 11.6531i | −0.243567 | − | 0.421871i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.686292 | − | 1.18869i | 0.0248129 | − | 0.0429772i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −18.1066 | + | 18.8169i | −0.653791 | + | 0.679440i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −19.7132 | + | 34.1443i | −0.710876 | + | 1.23127i | 0.253652 | + | 0.967295i | \(0.418368\pi\) |
−0.964529 | + | 0.263978i | \(0.914965\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.72183 | + | 8.17844i | 0.170052 | + | 0.294539i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −2.74264 | − | 4.75039i | −0.0986459 | − | 0.170860i | 0.812478 | − | 0.582991i | \(-0.198118\pi\) |
−0.911124 | + | 0.412131i | \(0.864784\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −16.9706 | −0.609601 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −3.11522 | + | 5.39573i | −0.111758 | + | 0.193571i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.24264 | −0.0445222 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.51472 | −0.233115 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −3.20711 | + | 5.55487i | −0.114613 | + | 0.198515i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −46.6274 | −1.66420 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 22.0061 | + | 38.1157i | 0.784433 | + | 1.35868i | 0.929337 | + | 0.369232i | \(0.120379\pi\) |
−0.144905 | + | 0.989446i | \(0.546288\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.156854 | − | 0.271680i | −0.00558416 | − | 0.00967205i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 4.62132 | − | 8.00436i | 0.164315 | − | 0.284602i |