Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [592,2,Mod(33,592)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(592, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("592.33");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 592 = 2^{4} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 592.bc (of order \(9\), degree \(6\), not 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: | \(4.72714379966\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 74) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 81.1 | ||
Root | \(2.00752 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 592.81 |
Dual form | 592.2.bc.d.497.1 |
$q$-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 \(\left(\mathbb{Z}/592\mathbb{Z}\right)^\times\).
\(n\) | \(113\) | \(149\) | \(223\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.72328 | − | 0.627223i | −0.994936 | − | 0.362127i | −0.207306 | − | 0.978276i | \(-0.566470\pi\) |
−0.787630 | + | 0.616149i | \(0.788692\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.326352 | − | 1.85083i | −0.145949 | − | 0.827718i | −0.966600 | − | 0.256289i | \(-0.917500\pi\) |
0.820651 | − | 0.571429i | \(-0.193611\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.598489 | − | 3.39420i | −0.226208 | − | 1.28289i | −0.860363 | − | 0.509681i | \(-0.829763\pi\) |
0.634156 | − | 0.773205i | \(-0.281348\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.278152 | + | 0.233397i | 0.0927173 | + | 0.0777991i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.40483 | + | 2.43324i | −0.423572 | + | 0.733649i | −0.996286 | − | 0.0861067i | \(-0.972557\pi\) |
0.572714 | + | 0.819756i | \(0.305891\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.65877 | + | 2.23097i | −0.737409 | + | 0.618760i | −0.932141 | − | 0.362097i | \(-0.882061\pi\) |
0.194731 | + | 0.980857i | \(0.437617\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.598489 | + | 3.39420i | −0.154529 | + | 0.876378i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.37417 | − | 1.99217i | −0.575822 | − | 0.483172i | 0.307750 | − | 0.951467i | \(-0.400424\pi\) |
−0.883572 | + | 0.468295i | \(0.844868\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.99748 | + | 2.54687i | 1.60533 | + | 0.584293i | 0.980509 | − | 0.196474i | \(-0.0629492\pi\) |
0.624822 | + | 0.780767i | \(0.285171\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.09755 | + | 6.22454i | −0.239506 | + | 1.35831i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.321769 | − | 0.557320i | −0.0670934 | − | 0.116209i | 0.830527 | − | 0.556978i | \(-0.188039\pi\) |
−0.897621 | + | 0.440769i | \(0.854706\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.37939 | − | 0.502055i | 0.275877 | − | 0.100411i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.41787 | + | 4.18788i | 0.465320 | + | 0.805958i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.08449 | + | 1.87840i | −0.201385 | + | 0.348810i | −0.948975 | − | 0.315351i | \(-0.897878\pi\) |
0.747590 | + | 0.664161i | \(0.231211\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −9.90716 | −1.77938 | −0.889690 | − | 0.456566i | \(-0.849079\pi\) | ||||
−0.889690 | + | 0.456566i | \(0.849079\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.94710 | − | 3.31201i | 0.687102 | − | 0.576547i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −6.08678 | + | 2.21541i | −1.02885 | + | 0.374472i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.56368 | + | 5.51612i | −0.421466 | + | 0.906844i | ||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.98112 | − | 2.17695i | 0.957745 | − | 0.348591i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.13803 | + | 6.82862i | −1.27095 | + | 1.06645i | −0.276521 | + | 0.961008i | \(0.589182\pi\) |
−0.994425 | + | 0.105443i | \(0.966374\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.30465 | −1.26645 | −0.633224 | − | 0.773969i | \(-0.718269\pi\) | ||||
−0.633224 | + | 0.773969i | \(0.718269\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.341204 | − | 0.590982i | 0.0508637 | − | 0.0880984i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.92821 | − | 6.80387i | −0.572989 | − | 0.992446i | −0.996257 | − | 0.0864413i | \(-0.972450\pi\) |
0.423268 | − | 0.906004i | \(-0.360883\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.58455 | + | 1.66864i | −0.654935 | + | 0.238377i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.84183 | + | 4.92220i | 0.397936 | + | 0.689246i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.839394 | − | 4.76044i | 0.115300 | − | 0.653897i | −0.871302 | − | 0.490748i | \(-0.836724\pi\) |
0.986601 | − | 0.163149i | \(-0.0521651\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.96199 | + | 1.80602i | 0.669074 | + | 0.243523i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −10.4612 | − | 8.77795i | −1.38561 | − | 1.16267i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.0961039 | + | 0.545032i | −0.0125117 | + | 0.0709572i | −0.990424 | − | 0.138057i | \(-0.955914\pi\) |
0.977913 | + | 0.209014i | \(0.0670254\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.37102 | − | 4.50682i | 0.687689 | − | 0.577039i | −0.230553 | − | 0.973060i | \(-0.574053\pi\) |
0.918242 | + | 0.396020i | \(0.129609\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.625726 | − | 1.08379i | 0.0788340 | − | 0.136545i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 4.99685 | + | 4.19285i | 0.619783 | + | 0.520060i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.0366435 | − | 0.207815i | −0.00447671 | − | 0.0253887i | 0.982488 | − | 0.186328i | \(-0.0596587\pi\) |
−0.986964 | + | 0.160939i | \(0.948548\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.204934 | + | 1.16224i | 0.0246711 | + | 0.139917i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.75197 | + | 1.72957i | 0.563955 | + | 0.205263i | 0.608236 | − | 0.793756i | \(-0.291877\pi\) |
−0.0442811 | + | 0.999019i | \(0.514100\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 10.2297 | 1.19730 | 0.598648 | − | 0.801012i | \(-0.295705\pi\) | ||||
0.598648 | + | 0.801012i | \(0.295705\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.69197 | −0.310842 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 9.09967 | + | 3.31201i | 1.03700 | + | 0.377438i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.330775 | + | 1.87592i | 0.0372151 | + | 0.211057i | 0.997745 | − | 0.0671197i | \(-0.0213809\pi\) |
−0.960530 | + | 0.278177i | \(0.910270\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.72910 | − | 9.80619i | −0.192122 | − | 1.08958i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.21650 | − | 4.37717i | −0.572586 | − | 0.480456i | 0.309917 | − | 0.950764i | \(-0.399699\pi\) |
−0.882503 | + | 0.470307i | \(0.844143\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.91235 | + | 5.04435i | −0.315889 | + | 0.547136i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.04706 | − | 2.55679i | 0.326679 | − | 0.274116i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.68226 | + | 9.54055i | −0.178319 | + | 1.01130i | 0.755924 | + | 0.654659i | \(0.227188\pi\) |
−0.934243 | + | 0.356637i | \(0.883923\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.16360 | + | 7.68917i | 0.960606 | + | 0.806044i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 17.0728 | + | 6.21400i | 1.77037 | + | 0.644361i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.43020 | − | 13.7823i | 0.249333 | − | 1.41404i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.52990 | − | 14.7742i | −0.866080 | − | 1.50009i | −0.865971 | − | 0.500095i | \(-0.833298\pi\) |
−0.000109562 | − | 1.00000i | \(-0.500035\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.958667 | + | 0.348926i | −0.0963497 | + | 0.0350684i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.98911 | − | 10.3734i | −0.595938 | − | 1.03220i | −0.993414 | − | 0.114583i | \(-0.963447\pi\) |
0.397475 | − | 0.917613i | \(-0.369886\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.47233 | − | 11.2104i | 0.637737 | − | 1.10459i | −0.348191 | − | 0.937424i | \(-0.613204\pi\) |
0.985928 | − | 0.167170i | \(-0.0534628\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 11.8788 | 1.15925 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −11.9706 | + | 10.0445i | −1.15724 | + | 0.971037i | −0.999864 | − | 0.0165017i | \(-0.994747\pi\) |
−0.157374 | + | 0.987539i | \(0.550303\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.45663 | + | 0.530170i | −0.139520 | + | 0.0507810i | −0.410836 | − | 0.911709i | \(-0.634763\pi\) |
0.271317 | + | 0.962490i | \(0.412541\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 7.87777 | − | 7.89781i | 0.747725 | − | 0.749627i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.80629 | − | 1.74935i | 0.452138 | − | 0.164565i | −0.105906 | − | 0.994376i | \(-0.533774\pi\) |
0.558044 | + | 0.829811i | \(0.311552\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.926496 | + | 0.777422i | −0.0863962 | + | 0.0724950i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.26024 | −0.116510 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.34090 | + | 9.25071i | −0.489599 | + | 0.848011i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.55290 | + | 2.68971i | 0.141173 | + | 0.244519i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 18.3072 | − | 6.66326i | 1.65070 | − | 0.600806i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −6.07785 | − | 10.5271i | −0.543619 | − | 0.941576i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.23207 | − | 6.98740i | 0.109328 | − | 0.620032i | −0.880075 | − | 0.474836i | \(-0.842508\pi\) |
0.989403 | − | 0.145196i | \(-0.0463814\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 14.3112 | + | 5.20886i | 1.26003 | + | 0.458615i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −13.3781 | − | 11.2256i | −1.16885 | − | 0.980781i | −0.168861 | − | 0.985640i | \(-0.554009\pi\) |
−0.999988 | + | 0.00485874i | \(0.998453\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.45668 | − | 25.2751i | 0.386443 | − | 2.19163i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 6.96199 | − | 5.84180i | 0.599192 | − | 0.502782i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.92852 | + | 8.53645i | −0.421072 | + | 0.729318i | −0.996045 | − | 0.0888546i | \(-0.971679\pi\) |
0.574973 | + | 0.818173i | \(0.305013\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.89049 | + | 5.78181i | 0.584444 | + | 0.490407i | 0.886403 | − | 0.462914i | \(-0.153196\pi\) |
−0.301959 | + | 0.953321i | \(0.597641\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.50187 | + | 14.1888i | 0.210696 | + | 1.19491i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.69337 | − | 9.60355i | −0.141606 | − | 0.803089i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.83053 | + | 1.39420i | 0.318108 | + | 0.115782i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 8.94707 | 0.737942 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −9.97301 | −0.817021 | −0.408511 | − | 0.912754i | \(-0.633952\pi\) | ||||
−0.408511 | + | 0.912754i | \(0.633952\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.07997 | + | 3.30484i | 0.738918 | + | 0.268944i | 0.683935 | − | 0.729543i | \(-0.260267\pi\) |
0.0549831 | + | 0.998487i | \(0.482490\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.195414 | − | 1.10825i | −0.0157983 | − | 0.0895968i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.23322 | + | 18.3365i | 0.259699 | + | 1.47282i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.73320 | − | 5.64982i | −0.537368 | − | 0.450905i | 0.333269 | − | 0.942832i | \(-0.391848\pi\) |
−0.870637 | + | 0.491927i | \(0.836293\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −4.43236 | + | 7.67708i | −0.351509 | + | 0.608832i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.69908 | + | 1.42570i | −0.133906 | + | 0.112361i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.331175 | − | 1.87819i | 0.0259397 | − | 0.147111i | −0.969087 | − | 0.246719i | \(-0.920648\pi\) |
0.995027 | + | 0.0996076i | \(0.0317587\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −7.41812 | − | 6.22454i | −0.577500 | − | 0.484580i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 6.22793 | + | 2.26678i | 0.481932 | + | 0.175409i | 0.571550 | − | 0.820567i | \(-0.306342\pi\) |
−0.0896181 | + | 0.995976i | \(0.528565\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.165612 | + | 0.939235i | −0.0127394 | + | 0.0722488i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.35193 | + | 2.34161i | 0.103385 | + | 0.179067i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −23.8769 | + | 8.69049i | −1.81533 | + | 0.660725i | −0.819130 | + | 0.573608i | \(0.805543\pi\) |
−0.996198 | + | 0.0871179i | \(0.972234\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.52962 | − | 4.38143i | −0.191221 | − | 0.331205i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.507471 | − | 0.878965i | 0.0381438 | − | 0.0660670i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −8.12492 | −0.607285 | −0.303643 | − | 0.952786i | \(-0.598203\pi\) | ||||
−0.303643 | + | 0.952786i | \(0.598203\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.12118 | − | 7.65358i | 0.677972 | − | 0.568886i | −0.237441 | − | 0.971402i | \(-0.576309\pi\) |
0.915413 | + | 0.402516i | \(0.131864\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.0826 | + | 4.39769i | −0.893168 | + | 0.325087i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 11.0461 | + | 2.94475i | 0.812123 | + | 0.216502i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.18273 | − | 2.97827i | 0.598381 | − | 0.217793i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 12.7674 | − | 10.7131i | 0.928693 | − | 0.779266i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.266722 | −0.0192993 | −0.00964965 | − | 0.999953i | \(-0.503072\pi\) | ||||
−0.00964965 | + | 0.999953i | \(0.503072\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.96417 | + | 6.86615i | −0.285348 | + | 0.494236i | −0.972693 | − | 0.232094i | \(-0.925442\pi\) |
0.687346 | + | 0.726330i | \(0.258776\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −5.98112 | − | 10.3596i | −0.428317 | − | 0.741866i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.386805 | − | 0.140786i | 0.0275587 | − | 0.0100306i | −0.328204 | − | 0.944607i | \(-0.606443\pi\) |
0.355763 | + | 0.934576i | \(0.384221\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.01751 | − | 1.76239i | −0.0721297 | − | 0.124932i | 0.827705 | − | 0.561164i | \(-0.189646\pi\) |
−0.899834 | + | 0.436232i | \(0.856313\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.0671996 | + | 0.381108i | −0.00473989 | + | 0.0268813i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 7.02471 | + | 2.55679i | 0.493038 | + | 0.179451i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.2945 | + | 12.8336i | 1.06821 | + | 0.896338i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.0405763 | − | 0.230119i | 0.00282024 | − | 0.0159944i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −16.0274 | + | 13.4486i | −1.10864 | + | 0.930259i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.87052 | + | 13.6321i | −0.541829 | + | 0.938475i | 0.456970 | + | 0.889482i | \(0.348935\pi\) |
−0.998799 | + | 0.0489932i | \(0.984399\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −7.10414 | − | 5.96108i | −0.486768 | − | 0.408447i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.71024 | + | 15.3705i | 0.184837 | + | 1.04826i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.92933 | + | 33.6269i | 0.402509 | + | 2.28274i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −17.6286 | − | 6.41630i | −1.19123 | − | 0.433573i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 10.7568 | 0.723584 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.43531 | 0.230045 | 0.115023 | − | 0.993363i | \(-0.463306\pi\) | ||||
0.115023 | + | 0.993363i | \(0.463306\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.500857 | + | 0.182297i | 0.0333905 | + | 0.0121531i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.401614 | + | 2.27767i | 0.0266561 | + | 0.151174i | 0.995231 | − | 0.0975489i | \(-0.0311002\pi\) |
−0.968575 | + | 0.248723i | \(0.919989\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.02642 | − | 5.82114i | −0.0678280 | − | 0.384672i | −0.999757 | − | 0.0220316i | \(-0.992987\pi\) |
0.931929 | − | 0.362640i | \(-0.118125\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −13.6039 | − | 11.4150i | −0.895071 | − | 0.751054i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 14.1679 | − | 24.5395i | 0.928168 | − | 1.60763i | 0.141782 | − | 0.989898i | \(-0.454717\pi\) |
0.786386 | − | 0.617736i | \(-0.211950\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −11.3108 | + | 9.49092i | −0.737838 | + | 0.619120i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.606600 | − | 3.44020i | 0.0394029 | − | 0.223465i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −18.5674 | − | 15.5799i | −1.20103 | − | 1.00778i | −0.999600 | − | 0.0282780i | \(-0.990998\pi\) |
−0.201427 | − | 0.979504i | \(-0.564558\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.31692 | − | 3.02711i | −0.535740 | − | 0.194993i | 0.0599594 | − | 0.998201i | \(-0.480903\pi\) |
−0.595700 | + | 0.803207i | \(0.703125\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.651791 | + | 3.69649i | −0.0418124 | + | 0.237130i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.58455 | + | 7.94067i | 0.292896 | + | 0.507311i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −24.2867 | + | 8.83962i | −1.54532 | + | 0.562452i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.24404 | + | 10.8150i | 0.395700 | + | 0.685372i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.29525 | − | 5.70754i | 0.207994 | − | 0.360257i | −0.743088 | − | 0.669193i | \(-0.766640\pi\) |
0.951083 | + | 0.308937i | \(0.0999731\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.80812 | 0.113676 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 8.18273 | − | 6.86613i | 0.512422 | − | 0.429973i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −9.04522 | + | 3.29219i | −0.564225 | + | 0.205361i | −0.608356 | − | 0.793665i | \(-0.708171\pi\) |
0.0441304 | + | 0.999026i | \(0.485948\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 20.2571 | + | 5.40031i | 1.25872 | + | 0.335559i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.740067 | + | 0.269362i | −0.0458090 | + | 0.0166731i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1.21898 | − | 1.02284i | 0.0751654 | − | 0.0630712i | −0.604431 | − | 0.796658i | \(-0.706599\pi\) |
0.679596 | + | 0.733586i | \(0.262155\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.08472 | −0.558070 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.88305 | − | 15.3859i | 0.543634 | − | 0.941601i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −11.5599 | − | 20.0223i | −0.704819 | − | 1.22078i | −0.966757 | − | 0.255697i | \(-0.917695\pi\) |
0.261938 | − | 0.965085i | \(-0.415638\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.172362 | − | 0.0627348i | 0.0104703 | − | 0.00381087i | −0.336780 | − | 0.941583i | \(-0.609338\pi\) |
0.347250 | + | 0.937773i | \(0.387116\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −10.9686 | − | 18.9982i | −0.663851 | − | 1.14982i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.716183 | + | 4.06167i | −0.0431875 | + | 0.244928i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.9260 | + | 4.34070i | 0.716562 | + | 0.260807i | 0.674466 | − | 0.738306i | \(-0.264374\pi\) |
0.0420965 | + | 0.999114i | \(0.486596\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −2.75570 | − | 2.31230i | −0.164979 | − | 0.138434i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.02774 | − | 17.1712i | 0.180620 | − | 1.02435i | −0.750835 | − | 0.660490i | \(-0.770349\pi\) |
0.931455 | − | 0.363857i | \(-0.118540\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.0612 | − | 8.44232i | 0.598074 | − | 0.501844i | −0.292752 | − | 0.956188i | \(-0.594571\pi\) |
0.890826 | + | 0.454345i | \(0.150127\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −12.8325 | + | 22.2266i | −0.760132 | + | 1.31659i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 28.0482 | + | 23.5352i | 1.65563 | + | 1.38924i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.28405 | − | 7.28223i | −0.0755325 | − | 0.428366i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 5.43268 | + | 30.8103i | 0.318469 | + | 1.80613i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −6.37791 | − | 2.32137i | −0.372602 | − | 0.135616i | 0.148930 | − | 0.988848i | \(-0.452417\pi\) |
−0.521532 | + | 0.853232i | \(0.674639\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.04013 | 0.0605586 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −13.5868 | −0.788386 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.09887 | + | 0.763927i | 0.121381 | + | 0.0441790i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.97024 | + | 28.1876i | 0.286480 | + | 1.62471i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.81445 | + | 21.6328i | 0.219135 | + | 1.24277i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.0942 | − | 8.47006i | −0.577993 | − | 0.484994i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.10242 | − | 7.10560i | 0.234138 | − | 0.405538i | −0.724884 | − | 0.688871i | \(-0.758107\pi\) |
0.959022 | + | 0.283333i | \(0.0914400\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −18.1850 | + | 15.2591i | −1.03451 | + | 0.868058i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.88461 | − | 10.6882i | 0.106867 | − | 0.606070i | −0.883592 | − | 0.468258i | \(-0.844882\pi\) |
0.990458 | − | 0.137812i | \(-0.0440071\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.63058 | − | 5.56372i | −0.374783 | − | 0.314480i | 0.435867 | − | 0.900011i | \(-0.356442\pi\) |
−0.810650 | + | 0.585531i | \(0.800886\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.21012 | − | 0.804417i | −0.124526 | − | 0.0453238i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.41505 | + | 25.0390i | −0.247974 | + | 1.40633i | 0.565510 | + | 0.824741i | \(0.308679\pi\) |
−0.813484 | + | 0.581587i | \(0.802432\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.04706 | − | 5.27766i | −0.170603 | − | 0.295492i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 26.9287 | − | 9.80126i | 1.50302 | − | 0.547053i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −11.5394 | − | 19.9869i | −0.642071 | − | 1.11210i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.54739 | + | 4.41222i | −0.141304 | + | 0.244746i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2.84271 | 0.157202 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −20.7427 | + | 17.4052i | −1.14358 | + | 0.959578i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −19.5470 | + | 7.11454i | −1.07440 | + | 0.391050i | −0.817821 | − | 0.575473i | \(-0.804818\pi\) |
−0.256581 | + | 0.966523i | \(0.582596\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −2.00054 | + | 0.935963i | −0.109629 | + | 0.0512904i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.372673 | + | 0.135642i | −0.0203613 | + | 0.00741091i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.89385 | + | 1.58913i | −0.103165 | + | 0.0865653i | −0.692911 | − | 0.721023i | \(-0.743672\pi\) |
0.589746 | + | 0.807588i | \(0.299228\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −9.37981 | −0.509442 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.9179 | − | 24.1065i | 0.753696 | − | 1.30544i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.65547 | − | 6.33145i | −0.197377 | − | 0.341866i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.08423 | − | 0.758597i | 0.112211 | − | 0.0408415i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.92690 | − | 5.06953i | −0.157124 | − | 0.272147i | 0.776706 | − | 0.629863i | \(-0.216889\pi\) |
−0.933830 | + | 0.357716i | \(0.883556\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.545283 | − | 3.09246i | 0.0291883 | − | 0.165535i | −0.966729 | − | 0.255801i | \(-0.917661\pi\) |
0.995918 | + | 0.0902661i | \(0.0287718\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −15.7716 | − | 5.74039i | −0.841825 | − | 0.306399i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −8.61667 | − | 7.23024i | −0.458619 | − | 0.384827i | 0.384004 | − | 0.923332i | \(-0.374545\pi\) |
−0.842623 | + | 0.538505i | \(0.818989\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.65034 | − | 9.35955i | 0.0875910 | − | 0.496753i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 15.0061 | − | 12.5916i | 0.794208 | − | 0.666419i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −11.5467 | + | 19.9994i | −0.609410 | + | 1.05553i | 0.381927 | + | 0.924192i | \(0.375260\pi\) |
−0.991338 | + | 0.131337i | \(0.958073\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 27.9233 | + | 23.4304i | 1.46965 | + | 1.23318i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.989041 | − | 5.60913i | −0.0519112 | − | 0.294403i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.33848 | − | 18.9335i | −0.174744 | − | 0.991023i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.47673 | + | 0.537487i | 0.0770848 | + | 0.0280566i | 0.380275 | − | 0.924874i | \(-0.375829\pi\) |
−0.303190 | + | 0.952930i | \(0.598052\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.85739 | −0.200808 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −16.6602 | −0.864957 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.28835 | − | 2.28877i | −0.325599 | − | 0.118508i | 0.174049 | − | 0.984737i | \(-0.444315\pi\) |
−0.499647 | + | 0.866229i | \(0.666537\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 3.87097 | + | 21.9534i | 0.199896 | + | 1.13367i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −1.30723 | − | 7.41370i | −0.0673260 | − | 0.381825i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.40501 | + | 7.05264i | 0.431737 | + | 0.362270i | 0.832606 | − | 0.553865i | \(-0.186848\pi\) |
−0.400870 | + | 0.916135i | \(0.631292\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −6.50586 | + | 11.2685i | −0.333305 | + | 0.577301i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 19.3480 | − | 16.2349i | 0.988638 | − | 0.829566i | 0.00326840 | − | 0.999995i | \(-0.498960\pi\) |
0.985370 | + | 0.170429i | \(0.0545152\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.16028 | − | 17.9228i | 0.161063 | − | 0.913433i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.30995 | − | 1.93828i | −0.117422 | − | 0.0985284i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.1599 | + | 3.69792i | 0.515130 | + | 0.187492i | 0.586487 | − | 0.809959i | \(-0.300511\pi\) |
−0.0713568 | + | 0.997451i | \(0.522733\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.346340 | + | 1.96419i | −0.0175152 | + | 0.0993334i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 16.0133 | + | 27.7358i | 0.807763 | + | 1.39909i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.36406 | − | 1.22442i | 0.169264 | − | 0.0616072i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.40570 | + | 9.36295i | 0.271304 | + | 0.469913i | 0.969196 | − | 0.246290i | \(-0.0792117\pi\) |
−0.697892 | + | 0.716203i | \(0.745878\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −23.5332 | + | 40.7607i | −1.17813 | + | 2.04059i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −34.6974 | −1.73271 | −0.866353 | − | 0.499432i | \(-0.833542\pi\) | ||||
−0.866353 | + | 0.499432i | \(0.833542\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 26.3408 | − | 22.1026i | 1.31213 | − | 1.10101i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −17.5853 | + | 6.40053i | −0.873822 | + | 0.318045i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −9.82049 | − | 13.9873i | −0.486783 | − | 0.693322i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.77330 | + | 0.645428i | −0.0876840 | + | 0.0319144i | −0.385490 | − | 0.922712i | \(-0.625967\pi\) |
0.297806 | + | 0.954627i | \(0.403745\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.8475 | − | 11.6194i | 0.683046 | − | 0.573143i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.90747 | 0.0938602 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.39899 | + | 11.0834i | −0.314114 | + | 0.544061i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −8.24777 | − | 14.2856i | −0.403895 | − | 0.699566i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −16.3766 | + | 5.96059i | −0.800048 | + | 0.291194i | −0.709507 | − | 0.704699i | \(-0.751082\pi\) |
−0.0905419 | + | 0.995893i | \(0.528860\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 9.07719 | + | 15.7222i | 0.442395 | + | 0.766251i | 0.997867 | − | 0.0652845i | \(-0.0207955\pi\) |
−0.555471 | + | 0.831536i | \(0.687462\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.495363 | − | 2.80934i | 0.0240854 | − | 0.136595i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.27508 | − | 1.55600i | −0.207372 | − | 0.0754771i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.5115 | − | 15.5330i | −0.895837 | − | 0.751696i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −3.10542 | + | 17.6117i | −0.149931 | + | 0.850302i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −21.7480 | + | 18.2487i | −1.04756 | + | 0.879011i | −0.992835 | − | 0.119491i | \(-0.961874\pi\) |
−0.0547286 | + | 0.998501i | \(0.517429\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.73468 | − | 6.46865i | 0.179477 | − | 0.310864i | −0.762224 | − | 0.647313i | \(-0.775893\pi\) |
0.941702 | + | 0.336449i | \(0.109226\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.72660 | − | 4.80519i | −0.274569 | − | 0.230391i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.832146 | − | 4.71934i | −0.0398069 | − | 0.225756i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.99873 | + | 34.0205i | 0.286304 | + | 1.62371i | 0.700590 | + | 0.713564i | \(0.252920\pi\) |
−0.414287 | + | 0.910146i | \(0.635969\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.66466 | − | 0.605885i | −0.0792693 | − | 0.0288517i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.89849 | 0.137712 | 0.0688558 | − | 0.997627i | \(-0.478065\pi\) | ||||
0.0688558 | + | 0.997627i | \(0.478065\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 18.2070 | 0.863094 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 17.1863 | + | 6.25530i | 0.812884 | + | 0.295866i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 4.84053 | + | 27.4520i | 0.228439 | + | 1.29554i | 0.856002 | + | 0.516973i | \(0.172941\pi\) |
−0.627563 | + | 0.778566i | \(0.715948\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.18310 | − | 29.3948i | −0.244063 | − | 1.38415i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −13.5745 | − | 11.3903i | −0.637784 | − | 0.535164i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 11.2408 | − | 19.4697i | 0.526978 | − | 0.912752i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.48390 | − | 6.27974i | 0.350082 | − | 0.293754i | −0.450741 | − | 0.892655i | \(-0.648840\pi\) |
0.800823 | + | 0.598901i | \(0.204396\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.60251 | − | 14.7596i | 0.121475 | − | 0.688917i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 11.8337 | + | 9.92965i | 0.551150 | + | 0.462470i | 0.875330 | − | 0.483525i | \(-0.160644\pi\) |
−0.324180 | + | 0.945995i | \(0.605088\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 17.2009 | + | 6.26063i | 0.799395 | + | 0.290956i | 0.709236 | − | 0.704971i | \(-0.249040\pi\) |
0.0901595 | + | 0.995927i | \(0.471262\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 5.92933 | − | 33.6269i | 0.274966 | − | 1.55941i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 11.8035 | + | 20.4443i | 0.546201 | + | 0.946048i | 0.998530 | + | 0.0541966i | \(0.0172598\pi\) |
−0.452329 | + | 0.891851i | \(0.649407\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.683436 | + | 0.248750i | −0.0315581 | + | 0.0114862i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 8.05949 | + | 13.9594i | 0.371362 | + | 0.643217i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 11.6666 | − | 20.2072i | 0.536432 | − | 0.929128i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 10.9309 | 0.501544 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.34455 | − | 1.12821i | 0.0615628 | − | 0.0516573i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −8.16238 | + | 2.97086i | −0.372949 | + | 0.135742i | −0.521693 | − | 0.853134i | \(-0.674699\pi\) |
0.148744 | + | 0.988876i | \(0.452477\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.49006 | − | 20.3856i | −0.250325 | − | 0.929502i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 3.82222 | − | 1.39117i | 0.173917 | − | 0.0633006i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −24.5609 | + | 20.6090i | −1.11525 | + | 0.935807i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −20.9350 | −0.948654 | −0.474327 | − | 0.880349i | \(-0.657309\pi\) | ||||
−0.474327 | + | 0.880349i | \(0.657309\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −1.74875 | + | 3.02892i | −0.0790812 | + | 0.136973i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.6055 | + | 37.4219i | 0.975044 | + | 1.68883i | 0.679791 | + | 0.733406i | \(0.262070\pi\) |
0.295253 | + | 0.955419i | \(0.404596\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.31686 | − | 2.29915i | 0.284497 | − | 0.103548i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.958667 | + | 1.66046i | 0.0430889 | + | 0.0746321i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.02652 | − | 17.1643i | 0.135758 | − | 0.769922i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.35892 | − | 2.31446i | −0.284664 | − | 0.103609i | 0.195742 | − | 0.980655i | \(-0.437289\pi\) |
−0.480406 | + | 0.877046i | \(0.659511\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.31069 | − | 7.81260i | −0.415971 | − | 0.349041i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 4.76565 | − | 27.0274i | 0.212490 | − | 1.20509i | −0.672719 | − | 0.739898i | \(-0.734874\pi\) |
0.885209 | − | 0.465193i | \(-0.154015\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.2449 | + | 14.4702i | −0.767390 | + | 0.643917i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.874506 | − | 1.51469i | 0.0388382 | − | 0.0672697i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 16.0780 | + | 13.4910i | 0.712643 | + | 0.597978i | 0.925339 | − | 0.379140i | \(-0.123780\pi\) |
−0.212696 | + | 0.977118i | \(0.568225\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.12236 | − | 34.7216i | −0.270837 | − | 1.53599i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 6.25301 | + | 35.4626i | 0.276077 | + | 1.56571i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −22.8608 | − | 8.32066i | −1.00737 | − | 0.366652i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 22.0739 | 0.970809 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 46.5975 | 2.04540 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 35.3011 | + | 12.8486i | 1.54657 | + | 0.562906i | 0.967610 | − | 0.252449i | \(-0.0812361\pi\) |
0.578961 | + | 0.815355i | \(0.303458\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.28508 | − | 18.6306i | −0.143647 | − | 0.814660i | −0.968444 | − | 0.249232i | \(-0.919822\pi\) |
0.824797 | − | 0.565428i | \(-0.191289\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.61111 | + | 9.13707i | 0.0703147 | + | 0.398774i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 23.5213 | + | 19.7367i | 1.02460 | + | 0.859746i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.2929 | − | 19.5599i | 0.490997 | − | 0.850432i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.153940 | + | 0.129171i | −0.00668045 | + | 0.00560556i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 6.40268 | − | 36.3114i | 0.277331 | − | 1.57282i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 22.4973 | + | 18.8775i | 0.972643 | + | 0.816144i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 14.0015 | + | 5.09613i | 0.604210 | + | 0.219914i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.38032 | − | 13.4994i | 0.102528 | − | 0.581462i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.23739 | − | 14.2676i | −0.354153 | − | 0.613411i | 0.632820 | − | 0.774299i | \(-0.281897\pi\) |
−0.986973 | + | 0.160888i | \(0.948564\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −20.5188 | + | 7.46825i | −0.880548 | + | 0.320493i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.45663 | + | 2.52296i | 0.0623951 | + | 0.108072i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.00067 | + | 10.3935i | −0.256570 | + | 0.444392i | −0.965321 | − | 0.261067i | \(-0.915926\pi\) |
0.708751 | + | 0.705459i | \(0.249259\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2.54584 | 0.108654 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −12.3728 | + | 10.3820i | −0.527097 | + | 0.442287i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.16927 | − | 2.24543i | 0.262344 | − | 0.0954855i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −17.1885 | − | 12.0030i | −0.729610 | − | 0.509498i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 40.2026 | − | 14.6325i | 1.70344 | − | 0.620001i | 0.707229 | − | 0.706985i | \(-0.249945\pi\) |
0.996210 | + | 0.0869842i | \(0.0277230\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.0801 | − | 18.5274i | 0.933890 | − | 0.783627i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −15.9692 | −0.674219 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 11.8738 | − | 20.5660i | 0.500421 | − | 0.866754i | −0.499579 | − | 0.866268i | \(-0.666512\pi\) |
1.00000 | 0.000486132i | \(-0.000154741\pi\) | ||||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.80629 | − | 8.32474i | −0.202202 | − | 0.350224i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −32.2493 | + | 11.7378i | −1.35434 | + | 0.492941i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.64332 | + | 4.57837i | 0.110814 | + | 0.191935i | 0.916099 | − | 0.400953i | \(-0.131321\pi\) |
−0.805285 | + | 0.592888i | \(0.797988\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.21057 | − | 23.8793i | 0.176207 | − | 0.999318i | −0.760535 | − | 0.649297i | \(-0.775063\pi\) |
0.936742 | − | 0.350021i | \(-0.113826\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.459636 | + | 0.167294i | 0.0192016 | + | 0.00698880i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.723648 | − | 0.607213i | −0.0301782 | − | 0.0253225i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.296836 | + | 1.68344i | −0.0123574 | + | 0.0700825i | −0.990363 | − | 0.138497i | \(-0.955773\pi\) |
0.978005 | + | 0.208579i | \(0.0668840\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 11.1380 | − | 9.34588i | 0.462879 | − | 0.388402i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −11.7350 | + | 20.3255i | −0.486848 | + | 0.843245i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.4041 | + | 8.73005i | 0.430893 | + | 0.361562i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.411283 | + | 2.33250i | 0.0170044 | + | 0.0964370i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −4.51530 | − | 25.6076i | −0.186366 | − | 1.05694i | −0.924187 | − | 0.381940i | \(-0.875256\pi\) |
0.737821 | − | 0.674997i | \(-0.235855\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −69.3251 | − | 25.2323i | −2.85649 | − | 1.03968i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.754877 | −0.0310515 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 19.5933 | 0.804601 | 0.402300 | − | 0.915508i | \(-0.368211\pi\) | ||||
0.402300 | + | 0.915508i | \(0.368211\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 18.8645 | + | 6.86613i | 0.773370 | + | 0.281484i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.648053 | + | 3.67529i | 0.0265231 | + | 0.150420i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −6.43804 | − | 36.5119i | −0.263051 | − | 1.49184i | −0.774528 | − | 0.632540i | \(-0.782012\pi\) |
0.511477 | − | 0.859297i | \(-0.329099\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.1667 | − | 11.8873i | −0.577871 | − | 0.484892i | 0.306376 | − | 0.951911i | \(-0.400884\pi\) |
−0.884247 | + | 0.467019i | \(0.845328\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.0383111 | − | 0.0663567i | 0.00156015 | − | 0.00270226i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.47140 | − | 3.75195i | 0.181788 | − | 0.152539i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.923385 | + | 5.23678i | −0.0374791 | + | 0.212554i | −0.997796 | − | 0.0663569i | \(-0.978862\pi\) |
0.960317 | + | 0.278911i | \(0.0899735\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −10.5019 | − | 8.81212i | −0.425557 | − | 0.357085i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 25.6234 | + | 9.32617i | 1.03661 | + | 0.377296i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.01848 | − | 39.8038i | 0.283474 | − | 1.60766i | −0.427213 | − | 0.904151i | \(-0.640505\pi\) |
0.710687 | − | 0.703508i | \(-0.248384\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −18.3072 | − | 31.7089i | −0.738216 | − | 1.27863i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 30.8191 | − | 11.2172i | 1.24073 | − | 0.451589i | 0.363470 | − | 0.931606i | \(-0.381592\pi\) |
0.877259 | + | 0.480017i | \(0.159370\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.07537 | − | 3.59465i | −0.0834163 | − | 0.144481i | 0.821299 | − | 0.570498i | \(-0.193250\pi\) |
−0.904715 | + | 0.426017i | \(0.859916\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.55599 | − | 2.69506i | 0.0624398 | − | 0.108149i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 33.3893 | 1.33772 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.8780 | + | 9.96686i | −0.475122 | + | 0.398674i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 36.0550 | − | 13.1229i | 1.43990 | − | 0.524080i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 17.0757 | − | 7.98893i | 0.680851 | − | 0.318540i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 28.1162 | − | 10.2335i | 1.11929 | − | 0.407387i | 0.284896 | − | 0.958559i | \(-0.408041\pi\) |
0.834392 | + | 0.551171i | \(0.185819\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 22.1135 | − | 18.5554i | 0.878932 | − | 0.737512i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −13.3346 | −0.529168 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 8.46656 | − | 14.6645i | 0.335457 | − | 0.581029i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.918091 | + | 1.59018i | 0.0363191 | + | 0.0629065i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −6.42331 | + | 2.33789i | −0.253705 | + | 0.0923412i | −0.465742 | − | 0.884920i | \(-0.654213\pi\) |
0.212037 | + | 0.977262i | \(0.431990\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.7592 | + | 32.4920i | 0.739792 | + | 1.28136i | 0.952589 | + | 0.304262i | \(0.0984097\pi\) |
−0.212796 | + | 0.977097i | \(0.568257\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.97024 | − | 28.1876i | 0.195703 | − | 1.10989i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.48480 | + | 0.904395i | 0.0976877 | + | 0.0355554i | 0.390402 | − | 0.920645i | \(-0.372336\pi\) |
−0.292714 | + | 0.956200i | \(0.594558\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.19118 | − | 0.999522i | −0.0467580 | − | 0.0392347i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.8736 | − | 61.6675i | 0.426172 | − | 2.41694i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −34.2792 | + | 28.7636i | −1.34145 | + | 1.12561i | −0.360197 | + | 0.932876i | \(0.617290\pi\) |
−0.981251 | + | 0.192732i | \(0.938265\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.4107 | + | 28.4241i | −0.641218 | + | 1.11062i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.84541 | + | 2.38758i | 0.111010 | + | 0.0931485i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0.790306 | + | 4.48205i | 0.0307859 | + | 0.174596i | 0.996324 | − | 0.0856667i | \(-0.0273020\pi\) |
−0.965538 | + | 0.260262i | \(0.916191\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.56467 | − | 42.9014i | −0.294231 | − | 1.66867i | −0.670310 | − | 0.742082i | \(-0.733839\pi\) |
0.376078 | − | 0.926588i | \(-0.377272\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −18.5371 | − | 6.74694i | −0.719919 | − | 0.262029i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −48.2344 | −1.87045 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.39582 | 0.0540465 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −5.92000 | − | 2.15470i | −0.228880 | − | 0.0833057i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.42080 | + | 19.4003i | 0.132058 | + | 0.748940i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.60813 | + | 37.4766i | 0.254725 | + | 1.44462i | 0.796778 | + | 0.604272i | \(0.206536\pi\) |
−0.542053 | + | 0.840344i | \(0.682353\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 5.43772 | + | 4.56279i | 0.209298 | + | 0.175622i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −22.0131 | + | 38.1278i | −0.846032 | + | 1.46537i | 0.0386894 | + | 0.999251i | \(0.487682\pi\) |
−0.884722 | + | 0.466120i | \(0.845652\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −45.0416 | + | 37.7944i | −1.72854 | + | 1.45042i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.736510 | − | 4.17696i | 0.0282231 | − | 0.160061i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −14.4021 | − | 12.0848i | −0.551081 | − | 0.462412i | 0.324226 | − | 0.945980i | \(-0.394896\pi\) |
−0.875307 | + | 0.483568i | \(0.839341\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 17.4080 | + | 6.33598i | 0.665125 | + | 0.242086i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.88233 | + | 10.6752i | −0.0718155 | + | 0.407286i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 8.38865 | + | 14.5296i | 0.319582 | + | 0.553532i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25.3128 | − | 9.21310i | 0.962944 | − | 0.350483i | 0.187757 | − | 0.982215i | \(-0.439878\pi\) |
0.775186 | + | 0.631733i | \(0.217656\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.75808 | + | 3.04508i | 0.0667838 | + | 0.115673i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 8.45244 | − | 14.6401i | 0.320619 | − | 0.555329i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 32.9248 | 1.24712 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −39.8069 | + | 33.4020i | −1.50564 | + | 1.26338i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6.98332 | + | 2.54172i | −0.263756 | + | 0.0959995i | −0.470513 | − | 0.882393i | \(-0.655931\pi\) |
0.206757 | + | 0.978392i | \(0.433709\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −31.9881 | + | 32.0695i | −1.20646 | + | 1.20953i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 25.4447 | − | 9.26110i | 0.958302 | − | 0.348793i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −31.6251 | + | 26.5366i | −1.18938 | + | 0.998012i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.834473 | 0.0313393 | 0.0156697 | − | 0.999877i | \(-0.495012\pi\) | ||||
0.0156697 | + | 0.999877i | \(0.495012\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.345828 | + | 0.598992i | −0.0129696 | + | 0.0224640i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.18781 | + | 5.52146i | 0.119385 | + | 0.206780i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −17.2219 | + | 6.26827i | −0.644064 | + | 0.234420i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 22.2248 | + | 38.4945i | 0.830000 | + | 1.43760i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.874879 | − | 4.96169i | 0.0326275 | − | 0.185040i | −0.964138 | − | 0.265400i | \(-0.914496\pi\) |
0.996766 | + | 0.0803603i | \(0.0256071\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −41.9239 | − | 15.2591i | −1.56133 | − | 0.568277i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 12.4337 | + | 10.4331i | 0.462415 | + | 0.388012i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.552875 | + | 3.13551i | −0.0205333 | + | 0.116450i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.2591 | + | 11.9648i | −0.528842 | + | 0.443751i | −0.867701 | − | 0.497086i | \(-0.834403\pi\) |
0.338860 | + | 0.940837i | \(0.389959\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −11.4945 | + | 19.9090i | −0.425720 | + | 0.737369i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 19.7167 | + | 16.5443i | 0.729248 | + | 0.611912i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.797139 | + | 4.52080i | 0.0294430 | + | 0.166980i | 0.995984 | − | 0.0895332i | \(-0.0285375\pi\) |
−0.966541 | + | 0.256513i | \(0.917426\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.91989 | − | 16.5595i | −0.107702 | − | 0.610807i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 0.557142 | + | 0.202783i | 0.0205226 | + | 0.00746961i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 46.9098 | 1.72560 | 0.862802 | − | 0.505542i | \(-0.168708\pi\) | ||||
0.862802 | + | 0.505542i | \(0.168708\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 47.3971 | 1.74118 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 4.69037 | + | 1.70716i | 0.172073 | + | 0.0626295i | 0.426620 | − | 0.904431i | \(-0.359704\pi\) |
−0.254547 | + | 0.967060i | \(0.581926\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.25471 | + | 18.4584i | 0.119243 | + | 0.676263i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −0.429362 | − | 2.43503i | −0.0157095 | − | 0.0890932i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 41.2572 | + | 34.6189i | 1.50751 | + | 1.26495i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.41422 | − | 16.3059i | 0.343530 | − | 0.595011i | −0.641556 | − | 0.767077i | \(-0.721711\pi\) |
0.985086 | + | 0.172065i | \(0.0550440\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −9.25853 | + | 7.76883i | −0.337400 | + | 0.283112i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.15344 | − | 17.8841i | 0.114766 | − | 0.650867i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.598778 | + | 0.502435i | 0.0217630 | + | 0.0182613i | 0.653604 | − | 0.756837i | \(-0.273256\pi\) |
−0.631841 | + | 0.775098i | \(0.717701\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −3.11590 | − | 1.13409i | −0.113100 | − | 0.0411650i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.27399 | + | 29.9103i | −0.191182 | + | 1.08425i | 0.726570 | + | 0.687092i | \(0.241113\pi\) |
−0.917752 | + | 0.397154i | \(0.869998\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.67128 | + | 4.62679i | 0.0967067 | + | 0.167501i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.98741 | + | 0.723359i | −0.0718551 | + | 0.0261531i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.960433 | − | 1.66352i | −0.0346792 | − | 0.0600662i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.98228 | − | 13.8257i | 0.287848 | − | 0.498568i | −0.685448 | − | 0.728122i | \(-0.740393\pi\) |
0.973296 | + | 0.229554i | \(0.0737268\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 17.6524 | 0.635735 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 20.2985 | − | 17.0324i | 0.730086 | − | 0.612615i | −0.200069 | − | 0.979782i | \(-0.564117\pi\) |
0.930155 | + | 0.367167i | \(0.119672\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.6658 | + | 4.97394i | −0.490890 | + | 0.178669i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −31.5215 | − | 22.0120i | −1.13083 | − | 0.789675i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −74.3373 | + | 27.0566i | −2.66341 | + | 0.969402i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.8842 | + | 9.13291i | −0.389466 | + | 0.326801i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −10.4887 | −0.374834 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.25949 | + | 14.3059i | −0.294794 | + | 0.510598i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −24.1869 | − | 41.8930i | −0.862171 | − | 1.49332i | −0.869829 | − | 0.493353i | \(-0.835771\pi\) |
0.00765866 | − | 0.999971i | \(-0.497562\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −2.74219 | + | 0.998076i | −0.0976246 | + | 0.0355324i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −8.81414 | − | 15.2665i | −0.313395 | − | 0.542816i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.22571 | + | 23.9652i | −0.150059 | + | 0.851029i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 15.6555 | + | 5.69814i | 0.555244 | + | 0.202092i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 18.1488 | + | 15.2286i | 0.642863 | + | 0.539426i | 0.904896 | − | 0.425633i | \(-0.139948\pi\) |
−0.262033 | + | 0.965059i | \(0.584393\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.22818 | + | 23.9792i | −0.149582 | + | 0.848324i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.69466 | + | 2.26109i | −0.0952112 | + | 0.0798917i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −14.3710 | + | 24.8913i | −0.507141 | + | 0.878395i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.19322 | + | 2.67943i | 0.112546 | + | 0.0944376i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 7.36248 | + | 41.7547i | 0.259171 | + | 1.46983i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0.138317 | + | 0.784433i | 0.00486295 | + | 0.0275792i | 0.987143 | − | 0.159842i | \(-0.0510983\pi\) |
−0.982280 | + | 0.187421i | \(0.939987\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.0191 | + | 4.73855i | 0.457161 | + | 0.166393i | 0.560328 | − | 0.828271i | \(-0.310675\pi\) |
−0.103166 | + | 0.994664i | \(0.532897\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −0.336377 | −0.0117973 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −3.58429 | −0.125552 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −58.1116 | − | 21.1509i | −2.03307 | − | 0.739976i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.754242 | + | 4.27752i | 0.0263553 | + | 0.149469i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −3.79631 | − | 21.5300i | −0.132492 | − | 0.751401i | −0.976573 | − | 0.215185i | \(-0.930965\pi\) |
0.844081 | − | 0.536216i | \(-0.180147\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −26.4467 | − | 22.1914i | −0.921873 | − | 0.773544i | 0.0524672 | − | 0.998623i | \(-0.483292\pi\) |
−0.974341 | + | 0.225079i | \(0.927736\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 3.78176 | − | 6.55020i | 0.131664 | − | 0.228049i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −3.04336 | + | 2.55369i | −0.105828 | + | 0.0888003i | −0.694166 | − | 0.719815i | \(-0.744227\pi\) |
0.588338 | + | 0.808615i | \(0.299782\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.91749 | + | 16.5459i | −0.101329 | + | 0.574664i | 0.891295 | + | 0.453425i | \(0.149798\pi\) |
−0.992623 | + | 0.121239i | \(0.961313\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −17.8292 | − | 14.9605i | −0.618488 | − | 0.518973i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 14.2087 | + | 5.17155i | 0.492303 | + | 0.179184i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.16294 | − | 12.2666i | 0.0748515 | − | 0.424504i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −23.9543 | − | 41.4900i | −0.827980 | − | 1.43410i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.33057 | − | 2.30414i | 0.218556 | − | 0.0795478i | −0.230422 | − | 0.973091i | \(-0.574011\pi\) |
0.448977 | + | 0.893543i | \(0.351788\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.1477 | + | 21.0405i | 0.418888 | + | 0.725535i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −15.9878 | + | 27.6917i | −0.550649 | + | 0.953752i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1.79241 | 0.0616609 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.20000 | − | 6.88062i | 0.281755 | − | 0.236421i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −22.6334 | + | 8.23789i | −0.776777 | + | 0.282724i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.89915 | − | 0.346124i | 0.133661 | − | 0.0118650i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −40.3273 | + | 14.6779i | −1.38078 | + | 0.502563i | −0.922415 | − | 0.386201i | \(-0.873787\pi\) |
−0.458365 | + | 0.888764i | \(0.651565\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.89272 | − | 3.26638i | 0.133128 | − | 0.111708i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −27.6910 | −0.945906 | −0.472953 | − | 0.881088i | \(-0.656812\pi\) | ||||
−0.472953 | + | 0.881088i | \(0.656812\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.42711 | − | 16.3282i | 0.321649 | − | 0.557112i | −0.659179 | − | 0.751986i | \(-0.729096\pi\) |
0.980828 | + | 0.194873i | \(0.0624296\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −33.5731 | − | 58.1503i | −1.14417 | − | 1.98176i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 28.0177 | − | 10.1976i | 0.953734 | − | 0.347131i | 0.182159 | − | 0.983269i | \(-0.441691\pi\) |
0.771575 | + | 0.636138i | \(0.219469\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 23.8769 | + | 41.3560i | 0.811839 | + | 1.40615i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.35479 | + | 13.3547i | −0.0799730 | + | 0.453549i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −5.02924 | − | 1.83049i | −0.170605 | − | 0.0620952i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.561057 | + | 0.470782i | 0.0190107 | + | 0.0159519i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.07565 | − | 6.10033i | 0.0364053 | − | 0.206465i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −32.0937 | + | 26.9298i | −1.08496 | + | 0.910393i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.11792 | + | 3.66834i | −0.0715170 | + | 0.123871i | −0.899566 | − | 0.436784i | \(-0.856117\pi\) |
0.828049 | + | 0.560655i | \(0.189451\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 9.53491 | + | 8.00074i | 0.321605 | + | 0.269858i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.14459 | + | 6.49127i | 0.0385621 | + | 0.218697i | 0.997999 | − | 0.0632261i | \(-0.0201389\pi\) |
−0.959437 | + | 0.281923i | \(0.909028\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 2.14960 | + | 12.1910i | 0.0723397 | + | 0.410259i | 0.999377 | + | 0.0352901i | \(0.0112355\pi\) |
−0.927037 | + | 0.374969i | \(0.877653\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1.79243 | − | 0.652392i | −0.0602519 | − | 0.0219299i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 25.0422 | 0.840833 | 0.420417 | − | 0.907331i | \(-0.361884\pi\) | ||||
0.420417 | + | 0.907331i | \(0.361884\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −24.4540 | −0.820161 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 26.2899 | + | 9.56873i | 0.880744 | + | 0.320565i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −10.1590 | − | 57.6146i | −0.339958 | − | 1.92800i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.65158 | + | 15.0379i | 0.0886326 | + | 0.502661i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.13779 | − | 2.63292i | −0.104768 | − | 0.0879106i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 10.7443 | − | 18.6096i | 0.358341 | − | 0.620665i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −11.4765 | + | 9.62989i | −0.382336 | + | 0.320818i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 9.11481 | − | 51.6926i | 0.303322 | − | 1.72022i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −17.1422 | − | 14.3840i | −0.569826 | − | 0.478141i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −54.3968 | − | 19.7988i | −1.80622 | − | 0.657409i | −0.997613 | − | 0.0690533i | \(-0.978002\pi\) |
−0.808602 | − | 0.588355i | \(-0.799776\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.755249 | − | 4.28323i | 0.0250500 | − | 0.142066i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −4.18373 | − | 7.24644i | −0.138613 | − | 0.240085i | 0.788359 | − | 0.615216i | \(-0.210931\pi\) |
−0.926972 | + | 0.375131i | \(0.877598\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 17.9790 | − | 6.54382i | 0.595018 | − | 0.216569i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 12.0826 | + | 20.9276i | 0.399437 | + | 0.691845i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −30.0951 | + | 52.1263i | −0.993828 | + | 1.72136i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.64798 | −0.120336 | −0.0601678 | − | 0.998188i | \(-0.519164\pi\) | ||||
−0.0601678 | + | 0.998188i | \(0.519164\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.5264 | + | 9.67181i | −0.379808 | + | 0.318697i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −16.4930 | + | 6.00296i | −0.542874 | + | 0.197590i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.766908 | + | 8.89596i | −0.0252158 | + | 0.292497i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 4.41677 | − | 1.60757i | 0.145066 | − | 0.0527996i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 40.7198 | − | 34.1679i | 1.33597 | − | 1.12101i | 0.353331 | − | 0.935498i | \(-0.385049\pi\) |
0.982641 | − | 0.185516i | \(-0.0593956\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −36.3301 | −1.19067 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −9.95157 | + | 17.2366i | −0.325800 | + | 0.564302i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −8.18273 | − | 14.1729i | −0.267604 | − | 0.463504i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.433752 | + | 0.157873i | −0.0141701 | + | 0.00515748i | −0.349095 | − | 0.937087i | \(-0.613511\pi\) |
0.334925 | + | 0.942245i | \(0.391289\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.93666 | + | 13.7467i | 0.259003 | + | 0.448607i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 7.83670 | − | 44.4441i | 0.255469 | − | 1.44884i | −0.539396 | − | 0.842052i | \(-0.681347\pi\) |
0.794865 | − | 0.606786i | \(-0.207541\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.42429 | + | 2.33825i | 0.209204 | + | 0.0761439i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −23.9949 | − | 20.1341i | −0.780554 | − | 0.654963i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0.192264 | − | 1.09038i | 0.00624773 | − | 0.0354326i | −0.981525 | − | 0.191336i | \(-0.938718\pi\) |
0.987772 | + | 0.155904i | \(0.0498290\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −27.1984 | + | 22.8222i | −0.882897 | + | 0.740839i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 23.3134 | − | 40.3799i | 0.755988 | − | 1.30941i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −3.46116 | − | 2.90426i | −0.112118 | − | 0.0940782i | 0.585005 | − | 0.811030i | \(-0.301092\pi\) |
−0.697123 | + | 0.716951i | \(0.745537\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.0870451 | + | 0.493657i | 0.00281671 | + | 0.0159744i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.94067 | + | 11.0061i | 0.0627329 | + | 0.355776i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 31.9241 | + | 11.6194i | 1.03088 | + | 0.375210i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 67.1519 | 2.16619 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −5.67399 | −0.182842 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 14.0018 | + | 5.09624i | 0.450734 | + | 0.164054i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.99944 | + | 34.0245i | 0.192929 | + | 1.09415i | 0.915338 | + | 0.402688i | \(0.131924\pi\) |
−0.722409 | + | 0.691466i | \(0.756965\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 7.34944 | + | 41.6808i | 0.236098 | + | 1.33898i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.54292 | + | 6.32926i | 0.242064 | + | 0.203116i | 0.755746 | − | 0.654865i | \(-0.227274\pi\) |
−0.513682 | + | 0.857981i | \(0.671719\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.5007 | − | 26.8481i | 0.496931 | − | 0.860709i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 7.15731 | − | 6.00570i | 0.229218 | − | 0.192336i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 6.85364 | − | 38.8689i | 0.219267 | − | 1.24353i | −0.654079 | − | 0.756427i | \(-0.726943\pi\) |
0.873346 | − | 0.487100i | \(-0.161945\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −20.8512 | − | 17.4962i | −0.666406 | − | 0.559181i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.528904 | − | 0.192505i | −0.0168866 | − | 0.00614622i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −2.68903 | + | 15.2502i | −0.0857666 | + | 0.486407i | 0.911422 | + | 0.411473i | \(0.134986\pi\) |
−0.997189 | + | 0.0749336i | \(0.976126\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.386805 | − | 0.669966i | −0.0123246 | − | 0.0213469i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 46.6624 | − | 16.9837i | 1.48528 | − | 0.540597i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.67218 | + | 4.62834i | 0.0849703 | + | 0.147173i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.60235 | − | 4.50740i | 0.0826663 | − | 0.143182i | −0.821728 | − | 0.569880i | \(-0.806990\pi\) |
0.904394 | + | 0.426698i | \(0.140323\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 38.1474 | 1.21057 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.92982 | + | 2.45841i | −0.0928814 | + | 0.0779367i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −35.0496 | + | 12.7570i | −1.11003 | + | 0.404018i | −0.831005 | − | 0.556265i | \(-0.812234\pi\) |
−0.279026 | + | 0.960284i | \(0.590012\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −29.2995 | + | 2.60089i | −0.926994 | + | 0.0822884i |
(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 | 592.2.bc.d.81.1 | 12 | ||
4.3 | odd | 2 | 74.2.f.b.7.2 | ✓ | 12 | ||
12.11 | even | 2 | 666.2.x.g.451.2 | 12 | |||
37.16 | even | 9 | inner | 592.2.bc.d.497.1 | 12 | ||
148.107 | odd | 18 | 2738.2.a.t.1.2 | 6 | |||
148.115 | odd | 18 | 2738.2.a.q.1.2 | 6 | |||
148.127 | odd | 18 | 74.2.f.b.53.2 | yes | 12 | ||
444.275 | even | 18 | 666.2.x.g.127.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.f.b.7.2 | ✓ | 12 | 4.3 | odd | 2 | ||
74.2.f.b.53.2 | yes | 12 | 148.127 | odd | 18 | ||
592.2.bc.d.81.1 | 12 | 1.1 | even | 1 | trivial | ||
592.2.bc.d.497.1 | 12 | 37.16 | even | 9 | inner | ||
666.2.x.g.127.2 | 12 | 444.275 | even | 18 | |||
666.2.x.g.451.2 | 12 | 12.11 | even | 2 | |||
2738.2.a.q.1.2 | 6 | 148.115 | odd | 18 | |||
2738.2.a.t.1.2 | 6 | 148.107 | odd | 18 |