Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (of order \(36\), degree \(12\), 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: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 431.1 | ||
Character | \(\chi\) | \(=\) | 666.431 |
Dual form | 666.2.bs.a.17.1 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{29}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.573576 | − | 0.819152i | −0.405580 | − | 0.579228i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.342020 | + | 0.939693i | −0.171010 | + | 0.469846i | ||||
\(5\) | −0.980582 | − | 0.0857898i | −0.438529 | − | 0.0383664i | −0.134246 | − | 0.990948i | \(-0.542861\pi\) |
−0.304283 | + | 0.952582i | \(0.598417\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.16963 | − | 0.981439i | 0.442080 | − | 0.370949i | −0.394407 | − | 0.918936i | \(-0.629050\pi\) |
0.836487 | + | 0.547987i | \(0.184606\pi\) | |||||||
\(8\) | 0.965926 | − | 0.258819i | 0.341506 | − | 0.0915064i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.492164 | + | 0.852453i | 0.155636 | + | 0.269569i | ||||
\(11\) | −3.02784 | + | 5.24438i | −0.912930 | + | 1.58124i | −0.103025 | + | 0.994679i | \(0.532852\pi\) |
−0.809905 | + | 0.586562i | \(0.800481\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.58099 | + | 0.737228i | −0.438488 | + | 0.204470i | −0.629310 | − | 0.777154i | \(-0.716662\pi\) |
0.190822 | + | 0.981625i | \(0.438885\pi\) | |||||||
\(14\) | −1.47482 | − | 0.395177i | −0.394163 | − | 0.105616i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.766044 | − | 0.642788i | −0.191511 | − | 0.160697i | ||||
\(17\) | −7.17231 | − | 3.34450i | −1.73954 | − | 0.811161i | −0.988559 | − | 0.150838i | \(-0.951803\pi\) |
−0.750982 | − | 0.660323i | \(-0.770419\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.99110 | + | 2.09439i | 0.686205 | + | 0.480486i | 0.863942 | − | 0.503592i | \(-0.167988\pi\) |
−0.177736 | + | 0.984078i | \(0.556877\pi\) | |||||||
\(20\) | 0.415995 | − | 0.892104i | 0.0930193 | − | 0.199480i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 6.03265 | − | 0.527788i | 1.28616 | − | 0.112525i | ||||
\(23\) | 0.211307 | − | 0.788610i | 0.0440606 | − | 0.164436i | −0.940390 | − | 0.340098i | \(-0.889540\pi\) |
0.984451 | + | 0.175662i | \(0.0562064\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.96986 | − | 0.699993i | −0.793972 | − | 0.139999i | ||||
\(26\) | 1.51072 | + | 0.872215i | 0.296277 | + | 0.171055i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.522213 | + | 1.43477i | 0.0986889 | + | 0.271146i | ||||
\(29\) | 0.314145 | + | 1.17240i | 0.0583352 | + | 0.217710i | 0.988940 | − | 0.148315i | \(-0.0473850\pi\) |
−0.930605 | + | 0.366025i | \(0.880718\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.312140 | + | 0.312140i | 0.0560620 | + | 0.0560620i | 0.734582 | − | 0.678520i | \(-0.237378\pi\) |
−0.678520 | + | 0.734582i | \(0.737378\pi\) | |||||||
\(32\) | −0.0871557 | + | 0.996195i | −0.0154071 | + | 0.176104i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.37421 | + | 7.79354i | 0.235675 | + | 1.33658i | ||||
\(35\) | −1.23112 | + | 0.862038i | −0.208097 | + | 0.145711i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.29697 | + | 5.94288i | −0.213220 | + | 0.977004i | ||||
\(38\) | − | 3.65146i | − | 0.592345i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.969373 | + | 0.170927i | −0.153271 | + | 0.0270259i | ||||
\(41\) | 8.84597 | + | 3.21967i | 1.38151 | + | 0.502828i | 0.922635 | − | 0.385673i | \(-0.126031\pi\) |
0.458874 | + | 0.888501i | \(0.348253\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.57591 | + | 4.57591i | −0.697819 | + | 0.697819i | −0.963940 | − | 0.266121i | \(-0.914258\pi\) |
0.266121 | + | 0.963940i | \(0.414258\pi\) | |||||||
\(44\) | −3.89252 | − | 4.63893i | −0.586820 | − | 0.699345i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.767192 | + | 0.279235i | −0.113116 | + | 0.0411710i | ||||
\(47\) | −11.5245 | + | 6.65366i | −1.68102 | + | 0.970536i | −0.720031 | + | 0.693942i | \(0.755872\pi\) |
−0.960987 | + | 0.276594i | \(0.910794\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.810718 | + | 4.59781i | −0.115817 | + | 0.656830i | ||||
\(50\) | 1.70362 | + | 3.65342i | 0.240928 | + | 0.516671i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.152037 | − | 1.73779i | −0.0210838 | − | 0.240988i | ||||
\(53\) | −7.93317 | + | 9.45438i | −1.08970 | + | 1.29866i | −0.138411 | + | 0.990375i | \(0.544199\pi\) |
−0.951294 | + | 0.308285i | \(0.900245\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.41896 | − | 4.88279i | 0.461013 | − | 0.658395i | ||||
\(56\) | 0.875764 | − | 1.25072i | 0.117029 | − | 0.167135i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.780191 | − | 0.929796i | 0.102444 | − | 0.122088i | ||||
\(59\) | −0.977451 | − | 11.1723i | −0.127253 | − | 1.45451i | −0.744437 | − | 0.667693i | \(-0.767282\pi\) |
0.617183 | − | 0.786819i | \(-0.288274\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.22828 | + | 6.92307i | 0.413339 | + | 0.886408i | 0.997216 | + | 0.0745661i | \(0.0237572\pi\) |
−0.583877 | + | 0.811842i | \(0.698465\pi\) | |||||||
\(62\) | 0.0766540 | − | 0.434726i | 0.00973506 | − | 0.0552103i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | 1.61354 | − | 0.587280i | 0.200135 | − | 0.0728431i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.99253 | − | 4.75812i | −0.487765 | − | 0.581296i | 0.464882 | − | 0.885373i | \(-0.346097\pi\) |
−0.952648 | + | 0.304076i | \(0.901652\pi\) | |||||||
\(68\) | 5.59588 | − | 5.59588i | 0.678600 | − | 0.678600i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.41228 | + | 0.514028i | 0.168800 | + | 0.0614381i | ||||
\(71\) | 7.37567 | − | 1.30053i | 0.875331 | − | 0.154344i | 0.282108 | − | 0.959383i | \(-0.408966\pi\) |
0.593223 | + | 0.805038i | \(0.297855\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 8.51548i | − | 0.996662i | −0.866987 | − | 0.498331i | \(-0.833946\pi\) | ||
0.866987 | − | 0.498331i | \(-0.166054\pi\) | |||||||
\(74\) | 5.61204 | − | 2.34629i | 0.652386 | − | 0.272750i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.99110 | + | 2.09439i | −0.343103 | + | 0.240243i | ||||
\(77\) | 1.60557 | + | 9.10565i | 0.182972 | + | 1.03768i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.00716907 | + | 0.0819428i | −0.000806583 | + | 0.00921929i | −0.996587 | − | 0.0825452i | \(-0.973695\pi\) |
0.995781 | + | 0.0917645i | \(0.0292507\pi\) | |||||||
\(80\) | 0.696025 | + | 0.696025i | 0.0778179 | + | 0.0778179i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.43644 | − | 9.09293i | −0.269060 | − | 1.00415i | ||||
\(83\) | 0.0951748 | + | 0.261491i | 0.0104468 | + | 0.0287023i | 0.944806 | − | 0.327629i | \(-0.106250\pi\) |
−0.934360 | + | 0.356331i | \(0.884027\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.74611 | + | 3.89487i | 0.731718 | + | 0.422458i | ||||
\(86\) | 6.37299 | + | 1.12373i | 0.687218 | + | 0.121175i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.56733 | + | 5.84935i | −0.167078 | + | 0.623542i | ||||
\(89\) | 9.92117 | − | 0.867990i | 1.05164 | − | 0.0920068i | 0.451795 | − | 0.892122i | \(-0.350784\pi\) |
0.599847 | + | 0.800115i | \(0.295228\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.12564 | + | 2.41393i | −0.117999 | + | 0.253049i | ||||
\(92\) | 0.668779 | + | 0.468284i | 0.0697251 | + | 0.0488220i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 12.0605 | + | 5.62392i | 1.24395 | + | 0.580063i | ||||
\(95\) | −2.75334 | − | 2.31033i | −0.282487 | − | 0.237035i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.26572 | − | 1.94684i | −0.737722 | − | 0.197672i | −0.129656 | − | 0.991559i | \(-0.541387\pi\) |
−0.608065 | + | 0.793887i | \(0.708054\pi\) | |||||||
\(98\) | 4.23131 | − | 1.97309i | 0.427427 | − | 0.199313i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.01555 | − | 3.49103i | 0.201555 | − | 0.349103i | ||||
\(101\) | 3.47385 | + | 6.01688i | 0.345661 | + | 0.598702i | 0.985474 | − | 0.169829i | \(-0.0543214\pi\) |
−0.639813 | + | 0.768531i | \(0.720988\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.01896 | − | 1.61278i | 0.593066 | − | 0.158912i | 0.0502118 | − | 0.998739i | \(-0.484010\pi\) |
0.542854 | + | 0.839827i | \(0.317344\pi\) | |||||||
\(104\) | −1.33631 | + | 1.12130i | −0.131036 | + | 0.109952i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.2949 | + | 1.07566i | 1.19418 | + | 0.104477i | ||||
\(107\) | 2.81945 | − | 7.74636i | 0.272566 | − | 0.748869i | −0.725588 | − | 0.688130i | \(-0.758432\pi\) |
0.998154 | − | 0.0607394i | \(-0.0193459\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.2084 | − | 14.5790i | −0.977783 | − | 1.39642i | −0.917276 | − | 0.398252i | \(-0.869617\pi\) |
−0.0605072 | − | 0.998168i | \(-0.519272\pi\) | |||||||
\(110\) | −5.96078 | −0.568338 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.52685 | −0.144274 | ||||||||
\(113\) | 2.86810 | + | 4.09607i | 0.269808 | + | 0.385326i | 0.931077 | − | 0.364823i | \(-0.118871\pi\) |
−0.661269 | + | 0.750149i | \(0.729982\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.274859 | + | 0.755168i | −0.0256307 | + | 0.0704198i | ||||
\(116\) | −1.20914 | − | 0.105786i | −0.112266 | − | 0.00982202i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.59119 | + | 7.20886i | −0.790883 | + | 0.663629i | ||||
\(119\) | −11.6714 | + | 3.12734i | −1.06991 | + | 0.286683i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12.8357 | − | 22.2321i | −1.16688 | − | 2.02110i | ||||
\(122\) | 3.81938 | − | 6.61536i | 0.345790 | − | 0.598927i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.400074 | + | 0.186557i | −0.0359277 | + | 0.0167534i | ||||
\(125\) | 8.58665 | + | 2.30079i | 0.768014 | + | 0.205789i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.5650 | − | 10.5433i | −1.11496 | − | 0.935563i | −0.116621 | − | 0.993176i | \(-0.537206\pi\) |
−0.998339 | + | 0.0576136i | \(0.981651\pi\) | |||||||
\(128\) | −0.906308 | − | 0.422618i | −0.0801070 | − | 0.0373545i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.40656 | − | 0.984883i | −0.123363 | − | 0.0863799i | ||||
\(131\) | −0.709934 | + | 1.52246i | −0.0620273 | + | 0.133018i | −0.934878 | − | 0.354970i | \(-0.884491\pi\) |
0.872851 | + | 0.487988i | \(0.162269\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.55401 | − | 0.485913i | 0.481593 | − | 0.0421340i | ||||
\(134\) | −1.60760 | + | 5.99963i | −0.138875 | + | 0.518289i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.79354 | − | 1.37421i | −0.668290 | − | 0.117838i | ||||
\(137\) | 1.25569 | + | 0.724975i | 0.107281 | + | 0.0619388i | 0.552681 | − | 0.833393i | \(-0.313605\pi\) |
−0.445399 | + | 0.895332i | \(0.646938\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.22338 | + | 6.10870i | 0.188585 | + | 0.518133i | 0.997568 | − | 0.0696990i | \(-0.0222039\pi\) |
−0.808983 | + | 0.587832i | \(0.799982\pi\) | |||||||
\(140\) | −0.388984 | − | 1.45171i | −0.0328751 | − | 0.122692i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.29584 | − | 5.29584i | −0.444417 | − | 0.444417i | ||||
\(143\) | 0.920690 | − | 10.5235i | 0.0769919 | − | 0.880022i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.207464 | − | 1.17659i | −0.0172290 | − | 0.0977104i | ||||
\(146\) | −6.97547 | + | 4.88428i | −0.577294 | + | 0.404226i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −5.14090 | − | 3.25134i | −0.422579 | − | 0.267258i | ||||
\(149\) | − | 7.47001i | − | 0.611967i | −0.952037 | − | 0.305984i | \(-0.901015\pi\) | ||
0.952037 | − | 0.305984i | \(-0.0989853\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.0724 | − | 1.77603i | 0.819676 | − | 0.144531i | 0.251941 | − | 0.967742i | \(-0.418931\pi\) |
0.567735 | + | 0.823211i | \(0.307820\pi\) | |||||||
\(152\) | 3.43125 | + | 1.24887i | 0.278311 | + | 0.101297i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.53799 | − | 6.53799i | 0.526846 | − | 0.526846i | ||||
\(155\) | −0.279300 | − | 0.332857i | −0.0224339 | − | 0.0267357i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.97750 | + | 2.53960i | −0.556865 | + | 0.202682i | −0.605094 | − | 0.796154i | \(-0.706864\pi\) |
0.0482292 | + | 0.998836i | \(0.484642\pi\) | |||||||
\(158\) | 0.0712357 | − | 0.0411279i | 0.00566720 | − | 0.00327196i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.170927 | − | 0.969373i | 0.0135129 | − | 0.0766357i | ||||
\(161\) | −0.526820 | − | 1.12977i | −0.0415192 | − | 0.0890383i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.420877 | + | 4.81064i | 0.0329656 | + | 0.376799i | 0.994700 | + | 0.102816i | \(0.0327854\pi\) |
−0.961735 | + | 0.273982i | \(0.911659\pi\) | |||||||
\(164\) | −6.05100 | + | 7.21130i | −0.472504 | + | 0.563108i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.159611 | − | 0.227947i | 0.0123882 | − | 0.0176922i | ||||
\(167\) | 2.87228 | − | 4.10205i | 0.222264 | − | 0.317426i | −0.692497 | − | 0.721420i | \(-0.743490\pi\) |
0.914761 | + | 0.403994i | \(0.132378\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.40021 | + | 7.62748i | −0.492324 | + | 0.586729i | ||||
\(170\) | −0.678920 | − | 7.76009i | −0.0520708 | − | 0.595172i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.73489 | − | 5.86500i | −0.208534 | − | 0.447202i | ||||
\(173\) | −0.560433 | + | 3.17837i | −0.0426089 | + | 0.241647i | −0.998672 | − | 0.0515128i | \(-0.983596\pi\) |
0.956063 | + | 0.293160i | \(0.0947068\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.33028 | + | 3.07744i | −0.402931 | + | 0.232632i | ||||
\(176\) | 5.69049 | − | 2.07117i | 0.428937 | − | 0.156120i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.40157 | − | 7.62909i | −0.479818 | − | 0.571825i | ||||
\(179\) | 11.0818 | − | 11.0818i | 0.828289 | − | 0.828289i | −0.158991 | − | 0.987280i | \(-0.550824\pi\) |
0.987280 | + | 0.158991i | \(0.0508241\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.99844 | + | 3.27516i | 0.668849 | + | 0.243441i | 0.654052 | − | 0.756450i | \(-0.273068\pi\) |
0.0147965 | + | 0.999891i | \(0.495290\pi\) | |||||||
\(182\) | 2.62302 | − | 0.462508i | 0.194431 | − | 0.0342834i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 0.816429i | − | 0.0601879i | ||||||
\(185\) | 1.78162 | − | 5.71622i | 0.130987 | − | 0.420265i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 39.2565 | − | 27.4877i | 2.87072 | − | 2.01010i | ||||
\(188\) | −2.31079 | − | 13.1052i | −0.168532 | − | 0.955791i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.313258 | + | 3.58055i | −0.0227261 | + | 0.259761i | ||||
\(191\) | −12.9234 | − | 12.9234i | −0.935102 | − | 0.935102i | 0.0629166 | − | 0.998019i | \(-0.479960\pi\) |
−0.998019 | + | 0.0629166i | \(0.979960\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.03191 | + | 11.3153i | 0.218242 | + | 0.814490i | 0.985000 | + | 0.172554i | \(0.0552019\pi\) |
−0.766758 | + | 0.641936i | \(0.778131\pi\) | |||||||
\(194\) | 2.57268 | + | 7.06839i | 0.184708 | + | 0.507481i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.04324 | − | 2.33437i | −0.288803 | − | 0.166741i | ||||
\(197\) | 11.1073 | + | 1.95852i | 0.791364 | + | 0.139539i | 0.554698 | − | 0.832052i | \(-0.312834\pi\) |
0.236667 | + | 0.971591i | \(0.423945\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.71993 | − | 21.3471i | 0.405475 | − | 1.51325i | −0.397703 | − | 0.917514i | \(-0.630192\pi\) |
0.803178 | − | 0.595739i | \(-0.203141\pi\) | |||||||
\(200\) | −4.01576 | + | 0.351333i | −0.283957 | + | 0.0248430i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.93622 | − | 6.29675i | 0.206592 | − | 0.443038i | ||||
\(203\) | 1.51808 | + | 1.06297i | 0.106548 | + | 0.0746058i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.39799 | − | 3.91605i | −0.586541 | − | 0.273508i | ||||
\(206\) | −4.77344 | − | 4.00539i | −0.332581 | − | 0.279069i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.68499 | + | 0.451492i | 0.116833 | + | 0.0313053i | ||||
\(209\) | −20.0404 | + | 9.34498i | −1.38622 | + | 0.646406i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.27177 | + | 2.20277i | −0.0875524 | + | 0.151645i | −0.906476 | − | 0.422257i | \(-0.861238\pi\) |
0.818924 | + | 0.573903i | \(0.194571\pi\) | |||||||
\(212\) | −6.17091 | − | 10.6883i | −0.423820 | − | 0.734078i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.96262 | + | 2.13358i | −0.544313 | + | 0.145848i | ||||
\(215\) | 4.87961 | − | 4.09448i | 0.332787 | − | 0.279241i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.671435 | + | 0.0587430i | 0.0455800 | + | 0.00398773i | ||||
\(218\) | −6.08718 | + | 16.7244i | −0.412276 | + | 1.13272i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.41896 | + | 4.88279i | 0.230506 | + | 0.329197i | ||||
\(221\) | 13.8050 | 0.928626 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −15.0865 | −1.01027 | −0.505134 | − | 0.863041i | \(-0.668557\pi\) | ||||
−0.505134 | + | 0.863041i | \(0.668557\pi\) | |||||||
\(224\) | 0.875764 | + | 1.25072i | 0.0585144 | + | 0.0835673i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.71023 | − | 4.69882i | 0.113763 | − | 0.312561i | ||||
\(227\) | 12.0674 | + | 1.05576i | 0.800941 | + | 0.0700732i | 0.480274 | − | 0.877119i | \(-0.340537\pi\) |
0.320667 | + | 0.947192i | \(0.396093\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.3680 | + | 14.5735i | −1.14771 | + | 0.963045i | −0.999664 | − | 0.0259356i | \(-0.991744\pi\) |
−0.148048 | + | 0.988980i | \(0.547299\pi\) | |||||||
\(230\) | 0.776250 | − | 0.207996i | 0.0511844 | − | 0.0137148i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.606881 | + | 1.05115i | 0.0398437 | + | 0.0690113i | ||||
\(233\) | −10.2423 | + | 17.7402i | −0.670997 | + | 1.16220i | 0.306624 | + | 0.951831i | \(0.400800\pi\) |
−0.977622 | + | 0.210371i | \(0.932533\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.8715 | − | 5.53577i | 0.774412 | − | 0.361114i | ||||
\(236\) | 10.8329 | + | 2.90265i | 0.705159 | + | 0.188947i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.25620 | + | 7.76688i | 0.599991 | + | 0.503452i | ||||
\(239\) | −12.2403 | − | 5.70775i | −0.791759 | − | 0.369203i | −0.0157108 | − | 0.999877i | \(-0.505001\pi\) |
−0.776049 | + | 0.630673i | \(0.782779\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.14569 | + | 3.60305i | 0.331463 | + | 0.232093i | 0.727446 | − | 0.686165i | \(-0.240707\pi\) |
−0.395983 | + | 0.918258i | \(0.629596\pi\) | |||||||
\(242\) | −10.8492 | + | 23.2662i | −0.697413 | + | 1.49561i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.60969 | + | 0.665762i | −0.487161 | + | 0.0426210i | ||||
\(245\) | 1.18942 | − | 4.43897i | 0.0759892 | − | 0.283596i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.27295 | − | 1.10609i | −0.399138 | − | 0.0703788i | ||||
\(248\) | 0.382292 | + | 0.220716i | 0.0242756 | + | 0.0140155i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.04041 | − | 8.35345i | −0.192292 | − | 0.528319i | ||||
\(251\) | 5.04274 | + | 18.8198i | 0.318295 | + | 1.18789i | 0.920883 | + | 0.389840i | \(0.127470\pi\) |
−0.602588 | + | 0.798053i | \(0.705864\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.49596 | + | 3.49596i | 0.219789 | + | 0.219789i | ||||
\(254\) | −1.42956 | + | 16.3400i | −0.0896988 | + | 1.02526i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 16.9969 | − | 11.9014i | 1.06024 | − | 0.742388i | 0.0928503 | − | 0.995680i | \(-0.470402\pi\) |
0.967390 | + | 0.253292i | \(0.0815133\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.31560 | + | 8.22389i | 0.268159 | + | 0.511008i | ||||
\(260\) | 1.71709i | 0.106489i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.65433 | − | 0.291703i | 0.102205 | − | 0.0180214i | ||||
\(263\) | −25.3902 | − | 9.24126i | −1.56562 | − | 0.569841i | −0.593608 | − | 0.804754i | \(-0.702297\pi\) |
−0.972016 | + | 0.234913i | \(0.924519\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.59021 | − | 8.59021i | 0.527693 | − | 0.527693i | ||||
\(266\) | −3.58368 | − | 4.27087i | −0.219730 | − | 0.261864i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.83669 | − | 2.12438i | 0.356533 | − | 0.129767i | ||||
\(269\) | 2.88940 | − | 1.66819i | 0.176170 | − | 0.101712i | −0.409322 | − | 0.912390i | \(-0.634235\pi\) |
0.585492 | + | 0.810678i | \(0.300901\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.30713 | + | 13.0844i | −0.140148 | + | 0.794819i | 0.830987 | + | 0.556291i | \(0.187776\pi\) |
−0.971136 | + | 0.238528i | \(0.923335\pi\) | |||||||
\(272\) | 3.34450 | + | 7.17231i | 0.202790 | + | 0.434885i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.126372 | − | 1.44443i | −0.00763438 | − | 0.0872614i | ||||
\(275\) | 15.6911 | − | 18.7000i | 0.946212 | − | 1.12765i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.9768 | + | 17.1046i | −0.719615 | + | 1.02772i | 0.278126 | + | 0.960545i | \(0.410287\pi\) |
−0.997741 | + | 0.0671725i | \(0.978602\pi\) | |||||||
\(278\) | 3.72867 | − | 5.32509i | 0.223631 | − | 0.319378i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.966057 | + | 1.15130i | −0.0577330 | + | 0.0688035i | ||||
\(281\) | 0.465800 | + | 5.32412i | 0.0277873 | + | 0.317610i | 0.997349 | + | 0.0727639i | \(0.0231820\pi\) |
−0.969562 | + | 0.244846i | \(0.921262\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.48893 | − | 18.2046i | −0.504614 | − | 1.08215i | −0.979378 | − | 0.202036i | \(-0.935244\pi\) |
0.474764 | − | 0.880113i | \(-0.342533\pi\) | |||||||
\(284\) | −1.30053 | + | 7.37567i | −0.0771722 | + | 0.437665i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.14846 | + | 5.28186i | −0.540960 | + | 0.312323i | ||||
\(287\) | 13.5065 | − | 4.91595i | 0.797261 | − | 0.290179i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 29.3289 | + | 34.9528i | 1.72523 | + | 2.05605i | ||||
\(290\) | −0.844808 | + | 0.844808i | −0.0496089 | + | 0.0496089i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.00194 | + | 2.91247i | 0.468278 | + | 0.170439i | ||||
\(293\) | 1.95100 | − | 0.344014i | 0.113979 | − | 0.0200975i | −0.116368 | − | 0.993206i | \(-0.537125\pi\) |
0.230347 | + | 0.973109i | \(0.426014\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.0392i | 0.642729i | ||||||||
\(296\) | 0.285359 | + | 6.07607i | 0.0165862 | + | 0.353164i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −6.11908 | + | 4.28462i | −0.354469 | + | 0.248202i | ||||
\(299\) | 0.247310 | + | 1.40257i | 0.0143023 | + | 0.0811125i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.861160 | + | 9.84310i | −0.0496364 | + | 0.567347i | ||||
\(302\) | −7.23210 | − | 7.23210i | −0.416161 | − | 0.416161i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.945067 | − | 3.52704i | −0.0542033 | − | 0.202290i | ||||
\(305\) | −2.57166 | − | 7.06559i | −0.147253 | − | 0.404574i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.48030 | + | 5.47345i | 0.541069 | + | 0.312386i | 0.745512 | − | 0.666492i | \(-0.232205\pi\) |
−0.204443 | + | 0.978878i | \(0.565538\pi\) | |||||||
\(308\) | −9.10565 | − | 1.60557i | −0.518842 | − | 0.0914859i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.112461 | + | 0.419708i | −0.00638733 | + | 0.0238378i | ||||
\(311\) | −12.4693 | + | 1.09092i | −0.707070 | + | 0.0618606i | −0.435018 | − | 0.900422i | \(-0.643258\pi\) |
−0.272052 | + | 0.962282i | \(0.587702\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.1833 | + | 26.1271i | −0.688640 | + | 1.47679i | 0.181194 | + | 0.983447i | \(0.442004\pi\) |
−0.869833 | + | 0.493346i | \(0.835774\pi\) | |||||||
\(314\) | 6.08245 | + | 4.25897i | 0.343252 | + | 0.240348i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.0745491 | − | 0.0347628i | −0.00419372 | − | 0.00195556i | ||||
\(317\) | −2.15708 | − | 1.81001i | −0.121154 | − | 0.101660i | 0.580198 | − | 0.814476i | \(-0.302975\pi\) |
−0.701352 | + | 0.712816i | \(0.747420\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.09972 | − | 1.90236i | −0.397508 | − | 0.106512i | ||||
\(320\) | −0.892104 | + | 0.415995i | −0.0498701 | + | 0.0232548i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.623281 | + | 1.07955i | −0.0347341 | + | 0.0601612i | ||||
\(323\) | −14.4484 | − | 25.0254i | −0.803930 | − | 1.39245i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.79236 | − | 1.82001i | 0.376773 | − | 0.100956i | ||||
\(326\) | 3.69924 | − | 3.10403i | 0.204882 | − | 0.171917i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 9.37787 | + | 0.820457i | 0.517806 | + | 0.0453022i | ||||
\(329\) | −6.94925 | + | 19.0929i | −0.383125 | + | 1.05263i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 18.4501 | + | 26.3494i | 1.01411 | + | 1.44830i | 0.889964 | + | 0.456032i | \(0.150730\pi\) |
0.124144 | + | 0.992264i | \(0.460381\pi\) | |||||||
\(332\) | −0.278272 | −0.0152722 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.00768 | −0.274008 | ||||||||
\(335\) | 3.50681 | + | 5.00824i | 0.191597 | + | 0.273629i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.123390 | − | 0.339012i | 0.00672150 | − | 0.0184672i | −0.936287 | − | 0.351237i | \(-0.885761\pi\) |
0.943008 | + | 0.332770i | \(0.107983\pi\) | |||||||
\(338\) | 9.91907 | + | 0.867806i | 0.539526 | + | 0.0472024i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −5.96728 | + | 5.00715i | −0.323621 | + | 0.271551i | ||||
\(341\) | −2.58209 | + | 0.691869i | −0.139828 | + | 0.0374668i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.90819 | + | 15.4294i | 0.480997 | + | 0.833111i | ||||
\(344\) | −3.23565 | + | 5.60432i | −0.174455 | + | 0.302164i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.92502 | − | 1.36396i | 0.157250 | − | 0.0733269i | ||||
\(347\) | 24.4355 | + | 6.54748i | 1.31177 | + | 0.351487i | 0.845888 | − | 0.533360i | \(-0.179071\pi\) |
0.465881 | + | 0.884848i | \(0.345738\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.73895 | + | 3.13735i | 0.200141 | + | 0.167939i | 0.737350 | − | 0.675511i | \(-0.236077\pi\) |
−0.537209 | + | 0.843449i | \(0.680521\pi\) | |||||||
\(350\) | 5.57821 | + | 2.60116i | 0.298168 | + | 0.139038i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.96053 | − | 3.47340i | −0.264397 | − | 0.185133i | ||||
\(353\) | −11.8230 | + | 25.3546i | −0.629277 | + | 1.34949i | 0.290434 | + | 0.956895i | \(0.406200\pi\) |
−0.919712 | + | 0.392595i | \(0.871578\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −7.34402 | + | 0.642518i | −0.389780 | + | 0.0341013i | ||||
\(356\) | −2.57760 | + | 9.61972i | −0.136612 | + | 0.509844i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.4339 | − | 2.72141i | −0.815705 | − | 0.143831i | ||||
\(359\) | 6.61627 | + | 3.81990i | 0.349193 | + | 0.201607i | 0.664330 | − | 0.747439i | \(-0.268717\pi\) |
−0.315137 | + | 0.949046i | \(0.602050\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.93818 | − | 5.32509i | −0.102009 | − | 0.280268i | ||||
\(362\) | −2.47843 | − | 9.24964i | −0.130264 | − | 0.486150i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.88336 | − | 1.88336i | −0.0987151 | − | 0.0987151i | ||||
\(365\) | −0.730541 | + | 8.35013i | −0.0382383 | + | 0.437066i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.73554 | − | 15.5140i | −0.142794 | − | 0.809824i | −0.969112 | − | 0.246621i | \(-0.920680\pi\) |
0.826318 | − | 0.563203i | \(-0.190431\pi\) | |||||||
\(368\) | −0.668779 | + | 0.468284i | −0.0348625 | + | 0.0244110i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.70435 | + | 1.81927i | −0.296555 | + | 0.0945794i | ||||
\(371\) | 18.8441i | 0.978336i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.58277 | − | 0.631738i | 0.185509 | − | 0.0327102i | −0.0801219 | − | 0.996785i | \(-0.525531\pi\) |
0.265631 | + | 0.964075i | \(0.414420\pi\) | |||||||
\(374\) | −45.0332 | − | 16.3907i | −2.32861 | − | 0.847545i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −9.40970 | + | 9.40970i | −0.485268 | + | 0.485268i | ||||
\(377\) | −1.36099 | − | 1.62196i | −0.0700945 | − | 0.0835354i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.3773 | − | 5.59687i | 0.789878 | − | 0.287492i | 0.0845927 | − | 0.996416i | \(-0.473041\pi\) |
0.705285 | + | 0.708924i | \(0.250819\pi\) | |||||||
\(380\) | 3.11270 | − | 1.79712i | 0.159678 | − | 0.0921901i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −3.17366 | + | 17.9987i | −0.162379 | + | 0.920896i | ||||
\(383\) | −2.01740 | − | 4.32632i | −0.103084 | − | 0.221065i | 0.848000 | − | 0.529996i | \(-0.177807\pi\) |
−0.951084 | + | 0.308931i | \(0.900029\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.793222 | − | 9.06657i | −0.0404264 | − | 0.462075i | ||||
\(386\) | 7.52988 | − | 8.97376i | 0.383261 | − | 0.456753i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.31446 | − | 6.16168i | 0.219033 | − | 0.312812i | ||||
\(389\) | 3.11915 | − | 4.45460i | 0.158147 | − | 0.225857i | −0.732257 | − | 0.681028i | \(-0.761533\pi\) |
0.890404 | + | 0.455171i | \(0.150422\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.15307 | + | 4.94943i | −0.210030 | + | 0.250304i | ||||
\(392\) | 0.406907 | + | 4.65097i | 0.0205519 | + | 0.234909i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.76658 | − | 10.2220i | −0.240137 | − | 0.514975i | ||||
\(395\) | 0.0140597 | − | 0.0797366i | 0.000707421 | − | 0.00401199i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 19.2315 | − | 11.1033i | 0.965201 | − | 0.557259i | 0.0674309 | − | 0.997724i | \(-0.478520\pi\) |
0.897770 | + | 0.440465i | \(0.145186\pi\) | |||||||
\(398\) | −20.7673 | + | 7.55868i | −1.04097 | + | 0.378883i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.59114 | + | 3.08800i | 0.129557 | + | 0.154400i | ||||
\(401\) | 24.8404 | − | 24.8404i | 1.24047 | − | 1.24047i | 0.280665 | − | 0.959806i | \(-0.409445\pi\) |
0.959806 | − | 0.280665i | \(-0.0905551\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.723609 | − | 0.263372i | −0.0360455 | − | 0.0131195i | ||||
\(404\) | −6.84215 | + | 1.20646i | −0.340410 | + | 0.0600234i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 1.85323i | − | 0.0919743i | ||||||
\(407\) | −27.2397 | − | 24.7959i | −1.35022 | − | 1.22909i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.1620 | + | 7.11549i | −0.502477 | + | 0.351838i | −0.797171 | − | 0.603753i | \(-0.793671\pi\) |
0.294694 | + | 0.955592i | \(0.404782\pi\) | |||||||
\(410\) | 1.60905 | + | 9.12538i | 0.0794653 | + | 0.450670i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.543092 | + | 6.20757i | −0.0267562 | + | 0.305825i | ||||
\(413\) | −12.1082 | − | 12.1082i | −0.595806 | − | 0.595806i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.0708934 | − | 0.264578i | −0.00348002 | − | 0.0129876i | ||||
\(416\) | −0.596630 | − | 1.63923i | −0.0292522 | − | 0.0803698i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 19.1496 | + | 11.0561i | 0.936640 | + | 0.540769i | ||||
\(419\) | −33.6752 | − | 5.93784i | −1.64514 | − | 0.290083i | −0.727089 | − | 0.686544i | \(-0.759127\pi\) |
−0.918052 | + | 0.396461i | \(0.870238\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.22301 | − | 8.29640i | 0.108343 | − | 0.404342i | −0.890360 | − | 0.455257i | \(-0.849547\pi\) |
0.998703 | + | 0.0509155i | \(0.0162139\pi\) | |||||||
\(422\) | 2.53387 | − | 0.221685i | 0.123347 | − | 0.0107914i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −5.21588 | + | 11.1855i | −0.253306 | + | 0.543215i | ||||
\(425\) | 26.1319 | + | 18.2978i | 1.26758 | + | 0.887572i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.5705 | + | 4.92909i | 0.511541 | + | 0.238535i | ||||
\(428\) | 6.31489 | + | 5.29883i | 0.305242 | + | 0.256128i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.15284 | − | 1.64865i | −0.296716 | − | 0.0795048i | ||||
\(431\) | −8.80790 | + | 4.10719i | −0.424262 | + | 0.197836i | −0.623010 | − | 0.782214i | \(-0.714090\pi\) |
0.198748 | + | 0.980051i | \(0.436312\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.16067 | + | 2.01034i | −0.0557781 | + | 0.0966106i | −0.892566 | − | 0.450916i | \(-0.851097\pi\) |
0.836788 | + | 0.547527i | \(0.184431\pi\) | |||||||
\(434\) | −0.337000 | − | 0.583701i | −0.0161765 | − | 0.0280186i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 17.1913 | − | 4.60639i | 0.823313 | − | 0.220606i | ||||
\(437\) | 2.28370 | − | 1.91625i | 0.109244 | − | 0.0916667i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 30.0362 | + | 2.62783i | 1.43355 | + | 0.125420i | 0.777304 | − | 0.629126i | \(-0.216587\pi\) |
0.656248 | + | 0.754545i | \(0.272143\pi\) | |||||||
\(440\) | 2.03871 | − | 5.60130i | 0.0971916 | − | 0.267032i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −7.91823 | − | 11.3084i | −0.376632 | − | 0.537886i | ||||
\(443\) | 14.5868 | 0.693037 | 0.346519 | − | 0.938043i | \(-0.387364\pi\) | ||||
0.346519 | + | 0.938043i | \(0.387364\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.80299 | −0.464706 | ||||||||
\(446\) | 8.65327 | + | 12.3581i | 0.409744 | + | 0.585175i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.522213 | − | 1.43477i | 0.0246722 | − | 0.0677864i | ||||
\(449\) | −13.1170 | − | 1.14759i | −0.619032 | − | 0.0541583i | −0.226674 | − | 0.973971i | \(-0.572785\pi\) |
−0.392358 | + | 0.919813i | \(0.628341\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −43.6694 | + | 36.6430i | −2.05631 | + | 1.72545i | ||||
\(452\) | −4.82999 | + | 1.29419i | −0.227184 | + | 0.0608737i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.05674 | − | 10.4906i | −0.284257 | − | 0.492348i | ||||
\(455\) | 1.31087 | − | 2.27049i | 0.0614544 | − | 0.106442i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.11792 | + | 0.987603i | −0.0990722 | + | 0.0461981i | −0.471523 | − | 0.881854i | \(-0.656295\pi\) |
0.372450 | + | 0.928052i | \(0.378518\pi\) | |||||||
\(458\) | 21.8998 | + | 5.86804i | 1.02331 | + | 0.274195i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.615619 | − | 0.516565i | −0.0287034 | − | 0.0240850i | ||||
\(461\) | 21.7782 | + | 10.1554i | 1.01431 | + | 0.472982i | 0.857411 | − | 0.514632i | \(-0.172072\pi\) |
0.156902 | + | 0.987614i | \(0.449849\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.7977 | + | 8.96103i | 0.594758 | + | 0.416454i | 0.831824 | − | 0.555039i | \(-0.187297\pi\) |
−0.237066 | + | 0.971494i | \(0.576186\pi\) | |||||||
\(464\) | 0.512958 | − | 1.10004i | 0.0238135 | − | 0.0510682i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 20.4067 | − | 1.78536i | 0.945323 | − | 0.0827050i | ||||
\(467\) | 3.84533 | − | 14.3510i | 0.177940 | − | 0.664083i | −0.818092 | − | 0.575088i | \(-0.804968\pi\) |
0.996032 | − | 0.0889949i | \(-0.0283655\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −9.33960 | − | 1.64682i | −0.431263 | − | 0.0760432i | ||||
\(470\) | −11.3439 | − | 6.54938i | −0.523253 | − | 0.302100i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.83575 | − | 10.5386i | −0.176555 | − | 0.485081i | ||||
\(473\) | −10.1427 | − | 37.8529i | −0.466360 | − | 1.74048i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.4082 | − | 10.4082i | −0.477560 | − | 0.477560i | ||||
\(476\) | 1.05311 | − | 12.0371i | 0.0482693 | − | 0.551721i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.34524 | + | 13.3005i | 0.107269 | + | 0.608351i | ||||
\(479\) | −21.9877 | + | 15.3960i | −1.00464 | + | 0.703459i | −0.955396 | − | 0.295327i | \(-0.904571\pi\) |
−0.0492478 | + | 0.998787i | \(0.515682\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.33077 | − | 10.3518i | −0.106274 | − | 0.472002i | ||||
\(482\) | − | 6.28172i | − | 0.286125i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 25.2814 | − | 4.45779i | 1.14915 | − | 0.202627i | ||||
\(485\) | 6.95761 | + | 2.53236i | 0.315929 | + | 0.114989i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.9768 | − | 15.9768i | 0.723977 | − | 0.723977i | −0.245435 | − | 0.969413i | \(-0.578931\pi\) |
0.969413 | + | 0.245435i | \(0.0789310\pi\) | |||||||
\(488\) | 4.91010 | + | 5.85163i | 0.222270 | + | 0.264891i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.31842 | + | 1.57178i | −0.195086 | + | 0.0710056i | ||||
\(491\) | −17.6071 | + | 10.1655i | −0.794598 | + | 0.458761i | −0.841579 | − | 0.540135i | \(-0.818373\pi\) |
0.0469809 | + | 0.998896i | \(0.485040\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.66797 | − | 9.45950i | 0.0751214 | − | 0.426035i | ||||
\(494\) | 2.69196 | + | 5.77292i | 0.121117 | + | 0.259736i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.0384734 | − | 0.439753i | −0.00172751 | − | 0.0197455i | ||||
\(497\) | 7.35044 | − | 8.75991i | 0.329712 | − | 0.392936i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −17.6846 | + | 25.2562i | −0.791671 | + | 1.13062i | 0.196982 | + | 0.980407i | \(0.436886\pi\) |
−0.988653 | + | 0.150216i | \(0.952003\pi\) | |||||||
\(500\) | −5.09884 | + | 7.28190i | −0.228027 | + | 0.325656i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 12.5239 | − | 14.9253i | 0.558967 | − | 0.666151i | ||||
\(503\) | 3.36949 | + | 38.5134i | 0.150238 | + | 1.71723i | 0.580277 | + | 0.814419i | \(0.302944\pi\) |
−0.430039 | + | 0.902810i | \(0.641500\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.89021 | − | 6.19807i | −0.128612 | − | 0.275810i | ||||
\(506\) | 0.858523 | − | 4.86893i | 0.0381660 | − | 0.216450i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 14.2049 | − | 8.20120i | 0.630240 | − | 0.363869i | ||||
\(509\) | 2.11147 | − | 0.768514i | 0.0935895 | − | 0.0340638i | −0.294801 | − | 0.955559i | \(-0.595253\pi\) |
0.388391 | + | 0.921495i | \(0.373031\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.35742 | − | 9.95999i | −0.369711 | − | 0.440604i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −19.4981 | − | 7.09672i | −0.860024 | − | 0.313023i | ||||
\(515\) | −6.04044 | + | 1.06509i | −0.266174 | + | 0.0469336i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 80.5850i | − | 3.54412i | ||||||
\(518\) | 4.26129 | − | 8.25216i | 0.187230 | − | 0.362579i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.40656 | − | 0.984883i | 0.0616817 | − | 0.0431900i | ||||
\(521\) | 5.04735 | + | 28.6250i | 0.221128 | + | 1.25408i | 0.869949 | + | 0.493141i | \(0.164151\pi\) |
−0.648821 | + | 0.760941i | \(0.724738\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.175420 | + | 2.00506i | −0.00767059 | + | 0.0876753i | −0.999065 | − | 0.0432337i | \(-0.986234\pi\) |
0.991394 | + | 0.130909i | \(0.0417896\pi\) | |||||||
\(524\) | −1.18783 | − | 1.18783i | −0.0518907 | − | 0.0518907i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.99320 | + | 26.0990i | 0.304918 | + | 1.13797i | ||||
\(527\) | −1.19481 | − | 3.28272i | −0.0520468 | − | 0.142997i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.3413 | + | 11.1667i | 0.840927 | + | 0.485510i | ||||
\(530\) | −11.9638 | − | 2.10955i | −0.519676 | − | 0.0916328i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.44297 | + | 5.38525i | −0.0625608 | + | 0.233480i | ||||
\(533\) | −16.3590 | + | 1.43123i | −0.708589 | + | 0.0619935i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.42926 | + | 7.35406i | −0.148260 | + | 0.317944i | ||||
\(536\) | −5.08798 | − | 3.56264i | −0.219767 | − | 0.153883i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.02379 | − | 1.41002i | −0.130365 | − | 0.0607902i | ||||
\(539\) | −21.6579 | − | 18.1732i | −0.932873 | − | 0.782773i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −33.0514 | − | 8.85609i | −1.42099 | − | 0.380753i | −0.535155 | − | 0.844754i | \(-0.679747\pi\) |
−0.885835 | + | 0.464001i | \(0.846413\pi\) | |||||||
\(542\) | 12.0414 | − | 5.61500i | 0.517223 | − | 0.241185i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.95688 | − | 6.85352i | 0.169650 | − | 0.293842i | ||||
\(545\) | 8.75940 | + | 15.1717i | 0.375211 | + | 0.649885i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 36.9027 | − | 9.88804i | 1.57784 | − | 0.422782i | 0.639586 | − | 0.768719i | \(-0.279106\pi\) |
0.938258 | + | 0.345937i | \(0.112439\pi\) | |||||||
\(548\) | −1.11073 | + | 0.932010i | −0.0474479 | + | 0.0398135i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −24.3182 | − | 2.12757i | −1.03693 | − | 0.0907197i | ||||
\(551\) | −1.51583 | + | 4.16472i | −0.0645767 | + | 0.177423i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.0720367 | + | 0.102879i | 0.00306331 | + | 0.00437486i | ||||
\(554\) | 20.8809 | 0.887144 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.50074 | −0.275693 | ||||||||
\(557\) | −18.8529 | − | 26.9247i | −0.798822 | − | 1.14084i | −0.987317 | − | 0.158761i | \(-0.949250\pi\) |
0.188495 | − | 0.982074i | \(-0.439639\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.86098 | − | 10.6080i | 0.163302 | − | 0.448669i | ||||
\(560\) | 1.49720 | + | 0.130988i | 0.0632682 | + | 0.00553525i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.09409 | − | 3.43535i | 0.172699 | − | 0.144911i | ||||
\(563\) | 37.9953 | − | 10.1808i | 1.60131 | − | 0.429070i | 0.655874 | − | 0.754871i | \(-0.272300\pi\) |
0.945439 | + | 0.325800i | \(0.105634\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.46100 | − | 4.26258i | −0.103535 | − | 0.179328i | ||||
\(566\) | −10.0433 | + | 17.3954i | −0.422149 | + | 0.731184i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.78775 | − | 3.16518i | 0.284808 | − | 0.132808i | ||||
\(569\) | −9.96167 | − | 2.66922i | −0.417615 | − | 0.111900i | 0.0438919 | − | 0.999036i | \(-0.486024\pi\) |
−0.461507 | + | 0.887137i | \(0.652691\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.09096 | − | 5.11092i | −0.254899 | − | 0.213885i | 0.506380 | − | 0.862311i | \(-0.330983\pi\) |
−0.761278 | + | 0.648425i | \(0.775428\pi\) | |||||||
\(572\) | 9.57399 | + | 4.46443i | 0.400309 | + | 0.186667i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −11.7739 | − | 8.24417i | −0.491433 | − | 0.344105i | ||||
\(575\) | −1.39088 | + | 2.98275i | −0.0580038 | + | 0.124389i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −25.3040 | + | 2.21381i | −1.05342 | + | 0.0921622i | −0.600687 | − | 0.799484i | \(-0.705106\pi\) |
−0.452732 | + | 0.891647i | \(0.649551\pi\) | |||||||
\(578\) | 11.8093 | − | 44.0730i | 0.491203 | − | 1.83319i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.17659 | + | 0.207464i | 0.0488552 | + | 0.00861449i | ||||
\(581\) | 0.367957 | + | 0.212440i | 0.0152654 | + | 0.00881349i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −25.5620 | − | 70.2310i | −1.05867 | − | 2.90867i | ||||
\(584\) | −2.20397 | − | 8.22532i | −0.0912009 | − | 0.340366i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.40085 | − | 1.40085i | −0.0578685 | − | 0.0578685i | ||||
\(587\) | −0.574609 | + | 6.56781i | −0.0237166 | + | 0.271082i | 0.975073 | + | 0.221886i | \(0.0712214\pi\) |
−0.998789 | + | 0.0491960i | \(0.984334\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.279899 | + | 1.58738i | 0.0115330 | + | 0.0654070i | ||||
\(590\) | 9.04281 | − | 6.33184i | 0.372286 | − | 0.260678i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.81355 | − | 3.71884i | 0.197836 | − | 0.152843i | ||||
\(593\) | 22.2709i | 0.914557i | 0.889324 | + | 0.457278i | \(0.151176\pi\) | ||||
−0.889324 | + | 0.457278i | \(0.848824\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11.7130 | − | 2.06533i | 0.480188 | − | 0.0846701i | ||||
\(596\) | 7.01952 | + | 2.55489i | 0.287531 | + | 0.104653i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.00706 | − | 1.00706i | 0.0411819 | − | 0.0411819i | ||||
\(599\) | 21.9309 | + | 26.1363i | 0.896073 | + | 1.06790i | 0.997329 | + | 0.0730382i | \(0.0232695\pi\) |
−0.101256 | + | 0.994860i | \(0.532286\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.3481 | − | 4.13038i | 0.462899 | − | 0.168482i | −0.100034 | − | 0.994984i | \(-0.531895\pi\) |
0.562933 | + | 0.826502i | \(0.309673\pi\) | |||||||
\(602\) | 8.55694 | − | 4.94035i | 0.348755 | − | 0.201354i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.77603 | + | 10.0724i | −0.0722655 | + | 0.409838i | ||||
\(605\) | 10.6792 | + | 22.9015i | 0.434170 | + | 0.931080i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.08749 | − | 23.8601i | −0.0847286 | − | 0.968452i | −0.912955 | − | 0.408059i | \(-0.866206\pi\) |
0.828227 | − | 0.560393i | \(-0.189350\pi\) | |||||||
\(608\) | −2.34711 | + | 2.79718i | −0.0951880 | + | 0.113441i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.31275 | + | 6.15924i | −0.174618 | + | 0.249380i | ||||
\(611\) | 13.3148 | − | 19.0155i | 0.538660 | − | 0.769287i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −23.8073 | + | 28.3725i | −0.961569 | + | 1.14595i | 0.0276655 | + | 0.999617i | \(0.491193\pi\) |
−0.989235 | + | 0.146336i | \(0.953252\pi\) | |||||||
\(614\) | −0.954086 | − | 10.9053i | −0.0385038 | − | 0.440100i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.90758 | + | 8.37983i | 0.157441 | + | 0.337633i | ||||
\(617\) | −0.734106 | + | 4.16332i | −0.0295540 | + | 0.167609i | −0.996012 | − | 0.0892138i | \(-0.971565\pi\) |
0.966459 | + | 0.256823i | \(0.0826757\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −32.9750 | + | 19.0381i | −1.32538 | + | 0.765208i | −0.984581 | − | 0.174929i | \(-0.944030\pi\) |
−0.340797 | + | 0.940137i | \(0.610697\pi\) | |||||||
\(620\) | 0.408310 | − | 0.148613i | 0.0163981 | − | 0.00596842i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.04574 | + | 9.58854i | 0.322605 | + | 0.384465i | ||||
\(623\) | 10.7523 | − | 10.7523i | 0.430780 | − | 0.430780i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 10.7174 | + | 3.90083i | 0.428698 | + | 0.156033i | ||||
\(626\) | 28.3901 | − | 5.00595i | 1.13470 | − | 0.200078i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 7.42530i | − | 0.296302i | ||||||
\(629\) | 29.1782 | − | 38.2865i | 1.16341 | − | 1.52658i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.54096 | + | 2.47941i | −0.140963 | + | 0.0987037i | −0.641931 | − | 0.766762i | \(-0.721866\pi\) |
0.500968 | + | 0.865466i | \(0.332978\pi\) | |||||||
\(632\) | 0.0142836 | + | 0.0810062i | 0.000568170 | + | 0.00322225i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.245419 | + | 2.80515i | −0.00974684 | + | 0.111407i | ||||
\(635\) | 11.4165 | + | 11.4165i | 0.453049 | + | 0.453049i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.10790 | − | 7.86678i | −0.0835179 | − | 0.311693i | ||||
\(638\) | 2.51391 | + | 6.90690i | 0.0995265 | + | 0.273447i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.852453 | + | 0.492164i | 0.0336961 | + | 0.0194545i | ||||
\(641\) | −16.7324 | − | 2.95037i | −0.660888 | − | 0.116532i | −0.166863 | − | 0.985980i | \(-0.553364\pi\) |
−0.494025 | + | 0.869448i | \(0.664475\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.02232 | − | 15.0115i | 0.158625 | − | 0.591995i | −0.840143 | − | 0.542365i | \(-0.817529\pi\) |
0.998768 | − | 0.0496304i | \(-0.0158043\pi\) | |||||||
\(644\) | 1.24182 | − | 0.108645i | 0.0489345 | − | 0.00428122i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.2123 | + | 26.1894i | −0.480487 | + | 1.03041i | ||||
\(647\) | 13.3815 | + | 9.36984i | 0.526082 | + | 0.368366i | 0.806241 | − | 0.591587i | \(-0.201498\pi\) |
−0.280159 | + | 0.959953i | \(0.590387\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 61.5515 | + | 28.7019i | 2.41611 | + | 1.12665i | ||||
\(650\) | −5.38680 | − | 4.52007i | −0.211288 | − | 0.177292i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.66448 | − | 1.24984i | −0.182675 | − | 0.0489476i | ||||
\(653\) | −22.8518 | + | 10.6560i | −0.894260 | + | 0.417000i | −0.814736 | − | 0.579833i | \(-0.803118\pi\) |
−0.0795243 | + | 0.996833i | \(0.525340\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.826760 | − | 1.43199i | 0.0323042 | − | 0.0559525i | ||||
\(656\) | −4.70684 | − | 8.15249i | −0.183771 | − | 0.318301i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 19.6259 | − | 5.25875i | 0.765098 | − | 0.205007i | ||||
\(659\) | 22.5572 | − | 18.9277i | 0.878703 | − | 0.737319i | −0.0872092 | − | 0.996190i | \(-0.527795\pi\) |
0.965912 | + | 0.258871i | \(0.0833504\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.303779 | + | 0.0265772i | 0.0118156 | + | 0.00103373i | 0.0930620 | − | 0.995660i | \(-0.470335\pi\) |
−0.0812464 | + | 0.996694i | \(0.525890\pi\) | |||||||
\(662\) | 11.0017 | − | 30.2268i | 0.427592 | − | 1.17480i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.159611 | + | 0.227947i | 0.00619409 | + | 0.00884608i | ||||
\(665\) | −5.48784 | −0.212809 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.990951 | 0.0383698 | ||||||||
\(668\) | 2.87228 | + | 4.10205i | 0.111132 | + | 0.158713i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.09109 | − | 5.74522i | 0.0807858 | − | 0.221957i | ||||
\(671\) | −46.0819 | − | 4.03165i | −1.77897 | − | 0.155640i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.45489 | + | 5.41629i | −0.248818 | + | 0.208783i | −0.758663 | − | 0.651483i | \(-0.774147\pi\) |
0.509845 | + | 0.860266i | \(0.329703\pi\) | |||||||
\(674\) | −0.348476 | + | 0.0933739i | −0.0134228 | + | 0.00359663i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.97848 | − | 8.62298i | −0.191480 | − | 0.331653i | ||||
\(677\) | −20.9549 | + | 36.2949i | −0.805361 | + | 1.39493i | 0.110687 | + | 0.993855i | \(0.464695\pi\) |
−0.916047 | + | 0.401070i | \(0.868638\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.4089 | + | 4.85376i | −0.399458 | + | 0.186270i | ||||
\(680\) | 7.52431 | + | 2.01613i | 0.288544 | + | 0.0773151i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.04777 | + | 1.71829i | 0.0784133 | + | 0.0657966i | ||||
\(683\) | −11.7794 | − | 5.49281i | −0.450725 | − | 0.210176i | 0.183982 | − | 0.982930i | \(-0.441101\pi\) |
−0.634707 | + | 0.772753i | \(0.718879\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.16912 | − | 0.818623i | −0.0446696 | − | 0.0312780i | ||||
\(686\) | 7.52953 | − | 16.1471i | 0.287479 | − | 0.616500i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.44668 | − | 0.564012i | 0.245777 | − | 0.0215027i | ||||
\(689\) | 5.57223 | − | 20.7959i | 0.212285 | − | 0.792259i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12.5441 | − | 2.21187i | −0.477202 | − | 0.0841435i | −0.0701264 | − | 0.997538i | \(-0.522340\pi\) |
−0.407075 | + | 0.913395i | \(0.633451\pi\) | |||||||
\(692\) | −2.79501 | − | 1.61370i | −0.106250 | − | 0.0613437i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −8.65227 | − | 23.7719i | −0.328436 | − | 0.902369i | ||||
\(695\) | −1.65615 | − | 6.18082i | −0.0628212 | − | 0.234452i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −52.6779 | − | 52.6779i | −1.99532 | − | 1.99532i | ||||
\(698\) | 0.425394 | − | 4.86228i | 0.0161014 | − | 0.184040i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.06878 | − | 6.06137i | −0.0403962 | − | 0.229098i | ||||
\(701\) | 13.2016 | − | 9.24385i | 0.498617 | − | 0.349135i | −0.297058 | − | 0.954860i | \(-0.596005\pi\) |
0.795675 | + | 0.605724i | \(0.207116\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.3261 | + | 15.0594i | −0.615750 | + | 0.567976i | ||||
\(704\) | 6.05569i | 0.228232i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 27.5507 | − | 4.85793i | 1.03688 | − | 0.182831i | ||||
\(707\) | 9.96833 | + | 3.62818i | 0.374898 | + | 0.136452i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.9475 | + | 12.9475i | −0.486252 | + | 0.486252i | −0.907121 | − | 0.420869i | \(-0.861725\pi\) |
0.420869 | + | 0.907121i | \(0.361725\pi\) | |||||||
\(710\) | 4.73868 | + | 5.64733i | 0.177839 | + | 0.211941i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.35847 | − | 3.40620i | 0.350723 | − | 0.127653i | ||||
\(713\) | 0.312114 | − | 0.180199i | 0.0116888 | − | 0.00674851i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.80562 | + | 10.2402i | −0.0675265 | + | 0.382962i | ||||
\(716\) | 6.62326 | + | 14.2036i | 0.247523 | + | 0.530814i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.665853 | − | 7.61074i | −0.0248494 | − | 0.284030i | ||||
\(719\) | −19.3068 | + | 23.0089i | −0.720020 | + | 0.858087i | −0.994633 | − | 0.103468i | \(-0.967006\pi\) |
0.274612 | + | 0.961555i | \(0.411450\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.45714 | − | 7.79360i | 0.203234 | − | 0.290249i | ||||
\(722\) | −3.25037 | + | 4.64201i | −0.120966 | + | 0.172758i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6.15529 | + | 7.33559i | −0.228760 | + | 0.272625i | ||||
\(725\) | −0.426435 | − | 4.87418i | −0.0158374 | − | 0.181022i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.8824 | − | 27.6264i | −0.477781 | − | 1.02461i | −0.986513 | − | 0.163680i | \(-0.947663\pi\) |
0.508732 | − | 0.860925i | \(-0.330114\pi\) | |||||||
\(728\) | −0.462508 | + | 2.62302i | −0.0171417 | + | 0.0972154i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.25904 | − | 4.19101i | 0.268669 | − | 0.155116i | ||||
\(731\) | 48.1239 | − | 17.5157i | 1.77993 | − | 0.647841i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17.1370 | + | 20.4230i | 0.632968 | + | 0.754342i | 0.983242 | − | 0.182305i | \(-0.0583560\pi\) |
−0.350274 | + | 0.936647i | \(0.613912\pi\) | |||||||
\(734\) | −11.1393 | + | 11.1393i | −0.411158 | + | 0.411158i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.767192 | + | 0.279235i | 0.0282791 | + | 0.0102927i | ||||
\(737\) | 37.0421 | − | 6.53153i | 1.36446 | − | 0.240592i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 30.0980i | 1.10717i | 0.832792 | + | 0.553586i | \(0.186741\pi\) | ||||
−0.832792 | + | 0.553586i | \(0.813259\pi\) | |||||||
\(740\) | 4.76214 | + | 3.62924i | 0.175060 | + | 0.133413i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 15.4362 | − | 10.8085i | 0.566680 | − | 0.396793i | ||||
\(743\) | 5.99726 | + | 34.0121i | 0.220018 | + | 1.24778i | 0.871983 | + | 0.489536i | \(0.162834\pi\) |
−0.651965 | + | 0.758249i | \(0.726055\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.640851 | + | 7.32496i | −0.0234790 | + | 0.268366i | ||||
\(746\) | −2.57248 | − | 2.57248i | −0.0941852 | − | 0.0941852i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12.4035 | + | 46.2904i | 0.453516 | + | 1.69254i | ||||
\(749\) | −4.30486 | − | 11.8275i | −0.157296 | − | 0.432168i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −41.0185 | − | 23.6820i | −1.49679 | − | 0.864170i | −0.496794 | − | 0.867869i | \(-0.665489\pi\) |
−0.999993 | + | 0.00369842i | \(0.998823\pi\) | |||||||
\(752\) | 13.1052 | + | 2.31079i | 0.477896 | + | 0.0842659i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.548004 | + | 2.04518i | −0.0199571 | + | 0.0744810i | ||||
\(755\) | −10.0291 | + | 0.877435i | −0.364997 | + | 0.0319331i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.9562 | − | 42.7962i | 0.725321 | − | 1.55546i | −0.102671 | − | 0.994715i | \(-0.532739\pi\) |
0.827992 | − | 0.560740i | \(-0.189483\pi\) | |||||||
\(758\) | −13.4047 | − | 9.38610i | −0.486882 | − | 0.340918i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.25748 | − | 1.51899i | −0.118161 | − | 0.0550995i | ||||
\(761\) | −25.1687 | − | 21.1191i | −0.912366 | − | 0.765566i | 0.0602014 | − | 0.998186i | \(-0.480826\pi\) |
−0.972568 | + | 0.232620i | \(0.925270\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −26.2485 | − | 7.03326i | −0.950259 | − | 0.254621i | ||||
\(764\) | 16.5640 | − | 7.72394i | 0.599266 | − | 0.279442i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.38678 | + | 4.13403i | −0.0862380 | + | 0.149369i | ||||
\(767\) | 9.78189 | + | 16.9427i | 0.353204 | + | 0.611767i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.04522 | + | 2.15571i | −0.290118 | + | 0.0777369i | −0.400943 | − | 0.916103i | \(-0.631317\pi\) |
0.110825 | + | 0.993840i | \(0.464651\pi\) | |||||||
\(770\) | −6.97193 | + | 5.85014i | −0.251251 | + | 0.210824i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −11.6698 | − | 1.02098i | −0.420007 | − | 0.0367458i | ||||
\(773\) | −4.44004 | + | 12.1989i | −0.159697 | + | 0.438764i | −0.993574 | − | 0.113187i | \(-0.963894\pi\) |
0.833877 | + | 0.551951i | \(0.186116\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.02066 | − | 1.45765i | −0.0366630 | − | 0.0523602i | ||||
\(776\) | −7.52202 | −0.270025 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −5.43807 | −0.194964 | ||||||||
\(779\) | 19.7159 | + | 28.1573i | 0.706397 | + | 1.00884i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −15.5119 | + | 42.6186i | −0.555060 | + | 1.52501i | ||||
\(782\) | 6.43644 | + | 0.563116i | 0.230167 | + | 0.0201370i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.57646 | − | 3.00101i | 0.127731 | − | 0.107179i | ||||
\(785\) | 7.05988 | − | 1.89169i | 0.251978 | − | 0.0675172i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −8.78160 | − | 15.2102i | −0.313030 | − | 0.542184i | 0.665987 | − | 0.745964i | \(-0.268011\pi\) |
−0.979017 | + | 0.203780i | \(0.934677\pi\) | |||||||
\(788\) | −5.63934 | + | 9.76762i | −0.200893 | + | 0.347957i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.0733807 | + | 0.0342180i | −0.00261077 | + | 0.00121742i | ||||
\(791\) | 7.37467 | + | 1.97604i | 0.262213 | + | 0.0702597i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.2078 | − | 8.56533i | −0.362488 | − | 0.304164i | ||||
\(794\) | −20.1260 | − | 9.38492i | −0.714246 | − | 0.333058i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 18.1034 | + | 12.6761i | 0.641656 | + | 0.449293i | ||||
\(797\) | −21.1203 | + | 45.2927i | −0.748120 | + | 1.60435i | 0.0477346 | + | 0.998860i | \(0.484800\pi\) |
−0.795854 | + | 0.605488i | \(0.792978\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 104.910 | − | 9.17846i | 3.71146 | − | 0.324711i | ||||
\(800\) | 1.04333 | − | 3.89374i | 0.0368871 | − | 0.137665i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −34.5960 | − | 6.10020i | −1.22163 | − | 0.215406i | ||||
\(803\) | 44.6584 | + | 25.7836i | 1.57596 | + | 0.909882i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.419667 | + | 1.15303i | 0.0147913 | + | 0.0406389i | ||||
\(806\) | 0.199303 | + | 0.743810i | 0.00702015 | + | 0.0261996i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.91276 | + | 4.91276i | 0.172830 | + | 0.172830i | ||||
\(809\) | −2.61599 | + | 29.9009i | −0.0919732 | + | 1.05126i | 0.800251 | + | 0.599666i | \(0.204700\pi\) |
−0.892224 | + | 0.451593i | \(0.850856\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 8.42371 | + | 47.7732i | 0.295796 | + | 1.67755i | 0.663948 | + | 0.747779i | \(0.268880\pi\) |
−0.368151 | + | 0.929766i | \(0.620009\pi\) | |||||||
\(812\) | −1.51808 | + | 1.06297i | −0.0532741 | + | 0.0373029i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −4.68755 | + | 36.5358i | −0.164299 | + | 1.28058i | ||||
\(815\) | − | 4.75334i | − | 0.166502i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −23.2707 | + | 4.10326i | −0.814140 | + | 0.143555i | ||||
\(818\) | 11.6573 | + | 4.24292i | 0.407589 | + | 0.148350i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 6.55216 | − | 6.55216i | 0.228811 | − | 0.228811i | ||||
\(821\) | −32.4496 | − | 38.6720i | −1.13250 | − | 1.34966i | −0.928780 | − | 0.370632i | \(-0.879141\pi\) |
−0.203720 | − | 0.979029i | \(-0.565303\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 36.1475 | − | 13.1566i | 1.26002 | − | 0.458611i | 0.376246 | − | 0.926520i | \(-0.377215\pi\) |
0.883777 | + | 0.467909i | \(0.154993\pi\) | |||||||
\(824\) | 5.39645 | − | 3.11564i | 0.187994 | − | 0.108539i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.97348 | + | 16.8634i | −0.103461 | + | 0.586754i | ||||
\(827\) | 5.10599 | + | 10.9498i | 0.177553 | + | 0.380763i | 0.974863 | − | 0.222807i | \(-0.0715220\pi\) |
−0.797310 | + | 0.603570i | \(0.793744\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.16136 | + | 13.2745i | 0.0403359 | + | 0.461041i | 0.989324 | + | 0.145730i | \(0.0465532\pi\) |
−0.948988 | + | 0.315311i | \(0.897891\pi\) | |||||||
\(830\) | −0.176067 | + | 0.209828i | −0.00611137 | + | 0.00728324i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.00056 | + | 1.42895i | −0.0346883 | + | 0.0495401i | ||||
\(833\) | 21.1921 | − | 30.2654i | 0.734262 | − | 1.04864i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.16842 | + | 3.77598i | −0.109648 | + | 0.130673i | ||||
\(836\) | −1.92720 | − | 22.0280i | −0.0666535 | − | 0.761853i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 14.4513 | + | 30.9909i | 0.499212 | + | 1.07056i | ||||
\(839\) | 5.74881 | − | 32.6031i | 0.198471 | − | 1.12558i | −0.708918 | − | 0.705291i | \(-0.750816\pi\) |
0.907389 | − | 0.420293i | \(-0.138073\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.8389 | − | 13.7634i | 0.822031 | − | 0.474600i | ||||
\(842\) | −8.07108 | + | 2.93763i | −0.278148 | + | 0.101238i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.63496 | − | 1.94847i | −0.0562776 | − | 0.0670690i | ||||
\(845\) | 6.93029 | − | 6.93029i | 0.238409 | − | 0.238409i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −36.8325 | − | 13.4059i | −1.26558 | − | 0.460633i | ||||
\(848\) | 12.1543 | − | 2.14314i | 0.417381 | − | 0.0735956i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 31.9012i | − | 1.09420i | ||||||
\(851\) | 4.41256 | + | 2.27857i | 0.151261 | + | 0.0781085i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.29468 | − | 5.10779i | 0.249765 | − | 0.174887i | −0.441989 | − | 0.897020i | \(-0.645727\pi\) |
0.691754 | + | 0.722133i | \(0.256838\pi\) | |||||||
\(854\) | −2.02530 | − | 11.4860i | −0.0693043 | − | 0.393044i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.718469 | − | 8.21214i | 0.0245568 | − | 0.280685i | ||||
\(857\) | 18.5488 | + | 18.5488i | 0.633614 | + | 0.633614i | 0.948972 | − | 0.315359i | \(-0.102125\pi\) |
−0.315359 | + | 0.948972i | \(0.602125\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −2.20245 | − | 8.21967i | −0.0751468 | − | 0.280452i | 0.918120 | − | 0.396303i | \(-0.129707\pi\) |
−0.993267 | + | 0.115851i | \(0.963040\pi\) | |||||||
\(860\) | 2.17863 | + | 5.98573i | 0.0742906 | + | 0.204112i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 8.41642 | + | 4.85922i | 0.286664 | + | 0.165506i | ||||
\(863\) | −34.7378 | − | 6.12521i | −1.18249 | − | 0.208505i | −0.452373 | − | 0.891829i | \(-0.649422\pi\) |
−0.730115 | + | 0.683324i | \(0.760534\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.822222 | − | 3.06857i | 0.0279564 | − | 0.104335i | ||||
\(866\) | 2.31250 | − | 0.202318i | 0.0785820 | − | 0.00687504i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.284845 | + | 0.610852i | −0.00966826 | + | 0.0207337i | ||||
\(869\) | −0.408033 | − | 0.285708i | −0.0138416 | − | 0.00969197i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 9.81997 | + | 4.57913i | 0.332737 | + | 0.155158i | ||||
\(872\) | −13.6339 | − | 11.4402i | −0.461700 | − | 0.387413i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.87958 | − | 0.771580i | −0.0974031 | − | 0.0260991i | ||||
\(875\) | 12.3013 | − | 5.73620i | 0.415860 | − | 0.193919i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.8419 | + | 34.3672i | −0.670013 | + | 1.16050i | 0.307887 | + | 0.951423i | \(0.400378\pi\) |
−0.977900 | + | 0.209074i | \(0.932955\pi\) | |||||||
\(878\) | −15.0755 | − | 26.1115i | −0.508773 | − | 0.881221i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.75767 | + | 1.54276i | −0.194091 | + | 0.0520066i | ||||
\(881\) | −14.1454 | + | 11.8694i | −0.476570 | + | 0.399889i | −0.849184 | − | 0.528097i | \(-0.822906\pi\) |
0.372615 | + | 0.927986i | \(0.378461\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 42.0774 | + | 3.68129i | 1.41602 | + | 0.123885i | 0.769321 | − | 0.638863i | \(-0.220595\pi\) |
0.646695 | + | 0.762748i | \(0.276150\pi\) | |||||||
\(884\) | −4.72159 | + | 12.9725i | −0.158804 | + | 0.436311i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −8.36662 | − | 11.9488i | −0.281082 | − | 0.401427i | ||||
\(887\) | −27.9375 | −0.938050 | −0.469025 | − | 0.883185i | \(-0.655395\pi\) | ||||
−0.469025 | + | 0.883185i | \(0.655395\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −25.0440 | −0.839948 | ||||||||
\(890\) | 5.62276 | + | 8.03014i | 0.188475 | + | 0.269171i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 5.15989 | − | 14.1767i | 0.172766 | − | 0.474670i | ||||
\(893\) | −48.4062 | − | 4.23500i | −1.61985 | − | 0.141719i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −11.8173 | + | 9.91586i | −0.395008 | + | 0.331451i | ||||
\(896\) | −1.47482 | + | 0.395177i | −0.0492703 | + | 0.0132019i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.58358 | + | 11.4031i | 0.219697 | + | 0.380526i | ||||
\(899\) | −0.267897 | + | 0.464011i | −0.00893487 | + | 0.0154756i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 88.5193 | − | 41.2773i | 2.94901 | − | 1.37514i | ||||
\(902\) | 55.0639 | + | 14.7543i | 1.83343 | + | 0.491266i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.83051 | + | 3.21418i | 0.127401 | + | 0.106902i | ||||
\(905\) | −8.54273 | − | 3.98354i | −0.283970 | − | 0.132417i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −19.7780 | − | 13.8487i | −0.656717 | − | 0.459838i | 0.197119 | − | 0.980379i | \(-0.436841\pi\) |
−0.853837 | + | 0.520541i | \(0.825730\pi\) | |||||||
\(908\) | −5.11938 | + | 10.9785i | −0.169893 | + | 0.364336i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.61176 | + | 0.228499i | −0.0865790 | + | 0.00757468i | ||||
\(911\) | −8.06066 | + | 30.0828i | −0.267062 | + | 0.996688i | 0.693915 | + | 0.720057i | \(0.255884\pi\) |
−0.960976 | + | 0.276630i | \(0.910782\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.65953 | − | 0.292620i | −0.0549224 | − | 0.00968431i | ||||
\(914\) | 2.02379 | + | 1.16843i | 0.0669409 | + | 0.0386484i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −7.75440 | − | 21.3050i | −0.256213 | − | 0.703938i | ||||
\(917\) | 0.663838 | + | 2.47748i | 0.0219219 | + | 0.0818135i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.57034 | + | 4.57034i | 0.150762 | + | 0.150762i | 0.778458 | − | 0.627697i | \(-0.216002\pi\) |
−0.627697 | + | 0.778458i | \(0.716002\pi\) | |||||||
\(920\) | −0.0700413 | + | 0.800575i | −0.00230919 | + | 0.0263942i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −4.17270 | − | 23.6645i | −0.137420 | − | 0.779350i | ||||
\(923\) | −10.7021 | + | 7.49368i | −0.352263 | + | 0.246657i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.30875 | − | 22.6845i | 0.306070 | − | 0.745863i | ||||
\(926\) | − | 15.6231i | − | 0.513406i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.19532 | + | 0.210768i | −0.0392384 | + | 0.00691879i | ||||
\(929\) | −30.5698 | − | 11.1265i | −1.00296 | − | 0.365049i | −0.212237 | − | 0.977218i | \(-0.568075\pi\) |
−0.790727 | + | 0.612169i | \(0.790297\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.0545 | + | 12.0545i | −0.395072 | + | 0.395072i | ||||
\(932\) | −13.1673 | − | 15.6922i | −0.431309 | − | 0.514014i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −13.9612 | + | 5.08146i | −0.456824 | + | 0.166270i | ||||
\(935\) | −40.8523 | + | 23.5861i | −1.33601 | + | 0.771348i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.74513 | + | 38.2535i | −0.220354 | + | 1.24969i | 0.651017 | + | 0.759063i | \(0.274343\pi\) |
−0.871371 | + | 0.490625i | \(0.836769\pi\) | |||||||
\(938\) | 4.00797 | + | 8.59513i | 0.130865 | + | 0.280641i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.14163 | + | 13.0489i | 0.0372359 | + | 0.425609i | ||||
\(941\) | −29.8162 | + | 35.5336i | −0.971980 | + | 1.15836i | 0.0153821 | + | 0.999882i | \(0.495104\pi\) |
−0.987362 | + | 0.158479i | \(0.949341\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.40828 | − | 6.29568i | 0.143553 | − | 0.205016i | ||||
\(944\) | −6.43266 | + | 9.18679i | −0.209365 | + | 0.299004i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −25.1897 | + | 30.0199i | −0.818988 | + | 0.976032i | ||||
\(947\) | −0.463491 | − | 5.29773i | −0.0150614 | − | 0.172153i | 0.984938 | − | 0.172906i | \(-0.0553158\pi\) |
−1.00000 | 0.000753281i | \(0.999760\pi\) | ||||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.27785 | + | 13.4629i | 0.203788 | + | 0.437024i | ||||
\(950\) | −2.55600 | + | 14.4958i | −0.0829275 | + | 0.470305i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −10.4643 | + | 6.04156i | −0.339149 | + | 0.195808i | ||||
\(953\) | 14.5111 | − | 5.28161i | 0.470061 | − | 0.171088i | −0.0961190 | − | 0.995370i | \(-0.530643\pi\) |
0.566180 | + | 0.824282i | \(0.308421\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.5637 | + | 13.7811i | 0.374193 | + | 0.445946i | ||||
\(956\) | 9.54996 | − | 9.54996i | 0.308868 | − | 0.308868i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 25.2233 | + | 9.18052i | 0.814927 | + | 0.296609i | ||||
\(959\) | 2.18022 | − | 0.384432i | 0.0704030 | − | 0.0124139i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 30.8051i | − | 0.993714i | ||||||
\(962\) | −7.14283 | + | 7.84681i | −0.230294 | + | 0.252991i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −5.14569 | + | 3.60305i | −0.165731 | + | 0.116046i | ||||
\(965\) | −2.00231 | − | 11.3556i | −0.0644565 | − | 0.365551i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.33435 | + | 49.5419i | −0.139383 | + | 1.59316i | 0.528526 | + | 0.848917i | \(0.322745\pi\) |
−0.667910 | + | 0.744242i | \(0.732811\pi\) | |||||||
\(968\) | −18.1524 | − | 18.1524i | −0.583440 | − | 0.583440i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.91633 | − | 7.15184i | −0.0615297 | − | 0.229632i | ||||
\(971\) | 3.31696 | + | 9.11326i | 0.106446 | + | 0.292458i | 0.981468 | − | 0.191624i | \(-0.0613755\pi\) |
−0.875022 | + | 0.484083i | \(0.839153\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 8.59585 | + | 4.96282i | 0.275570 | + | 0.159101i | ||||
\(974\) | −22.2513 | − | 3.92351i | −0.712979 | − | 0.125717i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.97706 | − | 7.37848i | 0.0632840 | − | 0.236179i | ||||
\(977\) | −21.5264 | + | 1.88332i | −0.688692 | + | 0.0602527i | −0.426129 | − | 0.904662i | \(-0.640123\pi\) |
−0.262562 | + | 0.964915i | \(0.584568\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −25.4877 | + | 54.6586i | −0.814590 | + | 1.74689i | ||||
\(980\) | 3.76447 | + | 2.63591i | 0.120251 | + | 0.0842010i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 18.4261 | + | 8.59223i | 0.588000 | + | 0.274189i | ||||
\(983\) | −23.9884 | − | 20.1287i | −0.765112 | − | 0.642005i | 0.174340 | − | 0.984685i | \(-0.444221\pi\) |
−0.939452 | + | 0.342681i | \(0.888665\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10.7236 | − | 2.87339i | −0.341683 | − | 0.0915537i | ||||
\(986\) | −8.70548 | + | 4.05943i | −0.277239 | + | 0.129279i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.18486 | − | 5.51634i | 0.101324 | − | 0.175498i | ||||
\(989\) | 2.64168 | + | 4.57553i | 0.0840006 | + | 0.145493i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.5196 | + | 5.23027i | −0.620061 | + | 0.166145i | −0.555156 | − | 0.831747i | \(-0.687341\pi\) |
−0.0649056 | + | 0.997891i | \(0.520675\pi\) | |||||||
\(992\) | −0.338157 | + | 0.283747i | −0.0107365 | + | 0.00900899i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −11.3917 | − | 0.996648i | −0.361324 | − | 0.0316117i | ||||
\(995\) | −7.44022 | + | 20.4418i | −0.235871 | + | 0.648050i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.1011 | + | 28.7073i | 0.636608 | + | 0.909170i | 0.999745 | − | 0.0225657i | \(-0.00718348\pi\) |
−0.363138 | + | 0.931735i | \(0.618295\pi\) | |||||||
\(998\) | 30.8321 | 0.975974 | ||||||||
\(999\) | 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 | 666.2.bs.a.431.1 | yes | 72 | |
3.2 | odd | 2 | inner | 666.2.bs.a.431.6 | yes | 72 | |
37.17 | odd | 36 | inner | 666.2.bs.a.17.6 | yes | 72 | |
111.17 | even | 36 | inner | 666.2.bs.a.17.1 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.a.17.1 | ✓ | 72 | 111.17 | even | 36 | inner | |
666.2.bs.a.17.6 | yes | 72 | 37.17 | odd | 36 | inner | |
666.2.bs.a.431.1 | yes | 72 | 1.1 | even | 1 | trivial | |
666.2.bs.a.431.6 | yes | 72 | 3.2 | odd | 2 | inner |