Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 31.1 | ||
Root | \(-0.415415 + 0.909632i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.31 |
Dual form | 690.2.m.b.601.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | − | 0.989821i | 0.100632 | − | 0.699909i | ||||
\(3\) | 0.415415 | + | 0.909632i | 0.239840 | + | 0.525176i | ||||
\(4\) | −0.959493 | − | 0.281733i | −0.479746 | − | 0.140866i | ||||
\(5\) | −0.654861 | − | 0.755750i | −0.292863 | − | 0.337981i | ||||
\(6\) | 0.959493 | − | 0.281733i | 0.391711 | − | 0.115017i | ||||
\(7\) | −2.31329 | − | 1.48666i | −0.874342 | − | 0.561906i | 0.0247357 | − | 0.999694i | \(-0.492126\pi\) |
−0.899078 | + | 0.437788i | \(0.855762\pi\) | |||||||
\(8\) | −0.415415 | + | 0.909632i | −0.146871 | + | 0.321603i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | −0.841254 | + | 0.540641i | −0.266028 | + | 0.170966i | ||||
\(11\) | 0.0681534 | + | 0.474017i | 0.0205490 | + | 0.142922i | 0.997513 | − | 0.0704827i | \(-0.0224540\pi\) |
−0.976964 | + | 0.213404i | \(0.931545\pi\) | |||||||
\(12\) | −0.142315 | − | 0.989821i | −0.0410828 | − | 0.285737i | ||||
\(13\) | −3.48325 | + | 2.23855i | −0.966081 | + | 0.620862i | −0.925674 | − | 0.378321i | \(-0.876502\pi\) |
−0.0404062 | + | 0.999183i | \(0.512865\pi\) | |||||||
\(14\) | −1.80075 | + | 2.07817i | −0.481270 | + | 0.555415i | ||||
\(15\) | 0.415415 | − | 0.909632i | 0.107260 | − | 0.234866i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | −2.59792 | + | 0.762819i | −0.630089 | + | 0.185011i | −0.581157 | − | 0.813791i | \(-0.697400\pi\) |
−0.0489316 | + | 0.998802i | \(0.515582\pi\) | |||||||
\(18\) | 0.654861 | + | 0.755750i | 0.154352 | + | 0.178132i | ||||
\(19\) | −0.983568 | − | 0.288802i | −0.225646 | − | 0.0662557i | 0.166955 | − | 0.985965i | \(-0.446607\pi\) |
−0.392601 | + | 0.919709i | \(0.628425\pi\) | |||||||
\(20\) | 0.415415 | + | 0.909632i | 0.0928896 | + | 0.203400i | ||||
\(21\) | 0.391340 | − | 2.72183i | 0.0853973 | − | 0.593951i | ||||
\(22\) | 0.478891 | 0.102100 | ||||||||
\(23\) | −3.77831 | + | 2.95371i | −0.787831 | + | 0.615891i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −0.142315 | + | 0.989821i | −0.0284630 | + | 0.197964i | ||||
\(26\) | 1.72005 | + | 3.76638i | 0.337329 | + | 0.738648i | ||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | 1.80075 | + | 2.07817i | 0.340309 | + | 0.392738i | ||||
\(29\) | −3.20870 | + | 0.942161i | −0.595842 | + | 0.174955i | −0.565728 | − | 0.824592i | \(-0.691405\pi\) |
−0.0301131 | + | 0.999546i | \(0.509587\pi\) | |||||||
\(30\) | −0.841254 | − | 0.540641i | −0.153591 | − | 0.0987071i | ||||
\(31\) | 0.829365 | − | 1.81606i | 0.148958 | − | 0.326173i | −0.820414 | − | 0.571770i | \(-0.806257\pi\) |
0.969372 | + | 0.245597i | \(0.0789841\pi\) | |||||||
\(32\) | 0.654861 | − | 0.755750i | 0.115764 | − | 0.133599i | ||||
\(33\) | −0.402869 | + | 0.258908i | −0.0701305 | + | 0.0450701i | ||||
\(34\) | 0.385331 | + | 2.68004i | 0.0660838 | + | 0.459623i | ||||
\(35\) | 0.391340 | + | 2.72183i | 0.0661485 | + | 0.460073i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | −0.403660 | + | 0.465849i | −0.0663613 | + | 0.0765851i | −0.787960 | − | 0.615727i | \(-0.788862\pi\) |
0.721598 | + | 0.692312i | \(0.243408\pi\) | |||||||
\(38\) | −0.425839 | + | 0.932456i | −0.0690801 | + | 0.151264i | ||||
\(39\) | −3.48325 | − | 2.23855i | −0.557767 | − | 0.358455i | ||||
\(40\) | 0.959493 | − | 0.281733i | 0.151709 | − | 0.0445458i | ||||
\(41\) | −1.49078 | − | 1.72045i | −0.232821 | − | 0.268689i | 0.627303 | − | 0.778776i | \(-0.284159\pi\) |
−0.860123 | + | 0.510086i | \(0.829613\pi\) | |||||||
\(42\) | −2.63843 | − | 0.774713i | −0.407118 | − | 0.119541i | ||||
\(43\) | 1.25013 | + | 2.73740i | 0.190643 | + | 0.417450i | 0.980683 | − | 0.195606i | \(-0.0626673\pi\) |
−0.790039 | + | 0.613056i | \(0.789940\pi\) | |||||||
\(44\) | 0.0681534 | − | 0.474017i | 0.0102745 | − | 0.0714608i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 2.38594 | + | 4.16021i | 0.351787 | + | 0.613389i | ||||
\(47\) | −3.04936 | −0.444795 | −0.222397 | − | 0.974956i | \(-0.571388\pi\) | ||||
−0.222397 | + | 0.974956i | \(0.571388\pi\) | |||||||
\(48\) | −0.142315 | + | 0.989821i | −0.0205414 | + | 0.142868i | ||||
\(49\) | 0.233250 | + | 0.510747i | 0.0333215 | + | 0.0729639i | ||||
\(50\) | 0.959493 | + | 0.281733i | 0.135693 | + | 0.0398430i | ||||
\(51\) | −1.77310 | − | 2.04627i | −0.248284 | − | 0.286535i | ||||
\(52\) | 3.97283 | − | 1.16653i | 0.550932 | − | 0.161768i | ||||
\(53\) | −9.58797 | − | 6.16182i | −1.31701 | − | 0.846391i | −0.322055 | − | 0.946721i | \(-0.604374\pi\) |
−0.994954 | + | 0.100330i | \(0.968010\pi\) | |||||||
\(54\) | −0.415415 | + | 0.909632i | −0.0565308 | + | 0.123785i | ||||
\(55\) | 0.313607 | − | 0.361922i | 0.0422868 | − | 0.0488016i | ||||
\(56\) | 2.31329 | − | 1.48666i | 0.309127 | − | 0.198664i | ||||
\(57\) | −0.145886 | − | 1.01466i | −0.0193230 | − | 0.134395i | ||||
\(58\) | 0.475925 | + | 3.31013i | 0.0624920 | + | 0.434641i | ||||
\(59\) | −8.64662 | + | 5.55685i | −1.12569 | + | 0.723440i | −0.964657 | − | 0.263508i | \(-0.915120\pi\) |
−0.161037 | + | 0.986948i | \(0.551484\pi\) | |||||||
\(60\) | −0.654861 | + | 0.755750i | −0.0845422 | + | 0.0975669i | ||||
\(61\) | 4.15426 | − | 9.09656i | 0.531899 | − | 1.16470i | −0.432836 | − | 0.901473i | \(-0.642487\pi\) |
0.964735 | − | 0.263223i | \(-0.0847855\pi\) | |||||||
\(62\) | −1.67954 | − | 1.07937i | −0.213302 | − | 0.137081i | ||||
\(63\) | 2.63843 | − | 0.774713i | 0.332411 | − | 0.0976046i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | 3.97283 | + | 1.16653i | 0.492769 | + | 0.144690i | ||||
\(66\) | 0.198939 | + | 0.435615i | 0.0244877 | + | 0.0536205i | ||||
\(67\) | 0.109917 | − | 0.764490i | 0.0134285 | − | 0.0933974i | −0.982005 | − | 0.188855i | \(-0.939522\pi\) |
0.995433 | + | 0.0954577i | \(0.0304315\pi\) | |||||||
\(68\) | 2.70760 | 0.328345 | ||||||||
\(69\) | −4.25635 | − | 2.20985i | −0.512405 | − | 0.266035i | ||||
\(70\) | 2.74982 | 0.328666 | ||||||||
\(71\) | −1.16375 | + | 8.09403i | −0.138111 | + | 0.960585i | 0.796430 | + | 0.604731i | \(0.206719\pi\) |
−0.934541 | + | 0.355854i | \(0.884190\pi\) | |||||||
\(72\) | −0.415415 | − | 0.909632i | −0.0489571 | − | 0.107201i | ||||
\(73\) | 8.90793 | + | 2.61561i | 1.04259 | + | 0.306133i | 0.757822 | − | 0.652462i | \(-0.226264\pi\) |
0.284773 | + | 0.958595i | \(0.408082\pi\) | |||||||
\(74\) | 0.403660 | + | 0.465849i | 0.0469246 | + | 0.0541538i | ||||
\(75\) | −0.959493 | + | 0.281733i | −0.110793 | + | 0.0325317i | ||||
\(76\) | 0.862362 | + | 0.554206i | 0.0989197 | + | 0.0635718i | ||||
\(77\) | 0.547045 | − | 1.19786i | 0.0623415 | − | 0.136509i | ||||
\(78\) | −2.71148 | + | 3.12922i | −0.307015 | + | 0.354314i | ||||
\(79\) | 6.15853 | − | 3.95785i | 0.692889 | − | 0.445293i | −0.146223 | − | 0.989252i | \(-0.546712\pi\) |
0.839112 | + | 0.543959i | \(0.183075\pi\) | |||||||
\(80\) | −0.142315 | − | 0.989821i | −0.0159113 | − | 0.110665i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | −1.91510 | + | 1.23076i | −0.211487 | + | 0.135915i | ||||
\(83\) | 2.46990 | − | 2.85041i | 0.271106 | − | 0.312873i | −0.603828 | − | 0.797114i | \(-0.706359\pi\) |
0.874935 | + | 0.484241i | \(0.160904\pi\) | |||||||
\(84\) | −1.14231 | + | 2.50132i | −0.124637 | + | 0.272916i | ||||
\(85\) | 2.27778 | + | 1.46384i | 0.247060 | + | 0.158776i | ||||
\(86\) | 2.88745 | − | 0.847833i | 0.311362 | − | 0.0914242i | ||||
\(87\) | −2.18996 | − | 2.52735i | −0.234789 | − | 0.270961i | ||||
\(88\) | −0.459493 | − | 0.134919i | −0.0489821 | − | 0.0143824i | ||||
\(89\) | 0.300142 | + | 0.657220i | 0.0318150 | + | 0.0696652i | 0.924872 | − | 0.380278i | \(-0.124172\pi\) |
−0.893057 | + | 0.449943i | \(0.851444\pi\) | |||||||
\(90\) | 0.142315 | − | 0.989821i | 0.0150013 | − | 0.104336i | ||||
\(91\) | 11.3858 | 1.19355 | ||||||||
\(92\) | 4.45741 | − | 1.76959i | 0.464718 | − | 0.184493i | ||||
\(93\) | 1.99647 | 0.207025 | ||||||||
\(94\) | −0.433969 | + | 3.01832i | −0.0447605 | + | 0.311316i | ||||
\(95\) | 0.425839 | + | 0.932456i | 0.0436901 | + | 0.0956680i | ||||
\(96\) | 0.959493 | + | 0.281733i | 0.0979278 | + | 0.0287542i | ||||
\(97\) | −3.39399 | − | 3.91688i | −0.344608 | − | 0.397698i | 0.556816 | − | 0.830636i | \(-0.312023\pi\) |
−0.901424 | + | 0.432937i | \(0.857477\pi\) | |||||||
\(98\) | 0.538744 | − | 0.158189i | 0.0544213 | − | 0.0159795i | ||||
\(99\) | −0.402869 | − | 0.258908i | −0.0404899 | − | 0.0260213i | ||||
\(100\) | 0.415415 | − | 0.909632i | 0.0415415 | − | 0.0909632i | ||||
\(101\) | 3.83750 | − | 4.42871i | 0.381846 | − | 0.440673i | −0.531994 | − | 0.846748i | \(-0.678557\pi\) |
0.913840 | + | 0.406075i | \(0.133103\pi\) | |||||||
\(102\) | −2.27778 | + | 1.46384i | −0.225534 | + | 0.144942i | ||||
\(103\) | 0.404118 | + | 2.81070i | 0.0398189 | + | 0.276947i | 0.999997 | − | 0.00244196i | \(-0.000777300\pi\) |
−0.960178 | + | 0.279389i | \(0.909868\pi\) | |||||||
\(104\) | −0.589262 | − | 4.09841i | −0.0577819 | − | 0.401882i | ||||
\(105\) | −2.31329 | + | 1.48666i | −0.225754 | + | 0.145083i | ||||
\(106\) | −7.46361 | + | 8.61347i | −0.724930 | + | 0.836614i | ||||
\(107\) | −6.01284 | + | 13.1663i | −0.581283 | + | 1.27283i | 0.359286 | + | 0.933228i | \(0.383020\pi\) |
−0.940569 | + | 0.339604i | \(0.889707\pi\) | |||||||
\(108\) | 0.841254 | + | 0.540641i | 0.0809497 | + | 0.0520232i | ||||
\(109\) | 9.78108 | − | 2.87198i | 0.936857 | − | 0.275086i | 0.222552 | − | 0.974921i | \(-0.428561\pi\) |
0.714305 | + | 0.699835i | \(0.246743\pi\) | |||||||
\(110\) | −0.313607 | − | 0.361922i | −0.0299013 | − | 0.0345079i | ||||
\(111\) | −0.591438 | − | 0.173662i | −0.0561368 | − | 0.0164832i | ||||
\(112\) | −1.14231 | − | 2.50132i | −0.107939 | − | 0.236353i | ||||
\(113\) | 1.39380 | − | 9.69412i | 0.131118 | − | 0.911946i | −0.812982 | − | 0.582288i | \(-0.802157\pi\) |
0.944100 | − | 0.329658i | \(-0.106933\pi\) | |||||||
\(114\) | −1.02509 | −0.0960086 | ||||||||
\(115\) | 4.70653 | + | 0.921186i | 0.438886 | + | 0.0859010i | ||||
\(116\) | 3.34417 | 0.310498 | ||||||||
\(117\) | 0.589262 | − | 4.09841i | 0.0544773 | − | 0.378898i | ||||
\(118\) | 4.26974 | + | 9.34944i | 0.393062 | + | 0.860685i | ||||
\(119\) | 7.14381 | + | 2.09761i | 0.654872 | + | 0.192288i | ||||
\(120\) | 0.654861 | + | 0.755750i | 0.0597803 | + | 0.0689902i | ||||
\(121\) | 10.3344 | − | 3.03445i | 0.939489 | − | 0.275859i | ||||
\(122\) | −8.41276 | − | 5.40655i | −0.761656 | − | 0.489486i | ||||
\(123\) | 0.945686 | − | 2.07076i | 0.0852696 | − | 0.186714i | ||||
\(124\) | −1.30741 | + | 1.50883i | −0.117409 | + | 0.135497i | ||||
\(125\) | 0.841254 | − | 0.540641i | 0.0752440 | − | 0.0483564i | ||||
\(126\) | −0.391340 | − | 2.72183i | −0.0348633 | − | 0.242480i | ||||
\(127\) | −0.157812 | − | 1.09761i | −0.0140036 | − | 0.0973971i | 0.981621 | − | 0.190841i | \(-0.0611215\pi\) |
−0.995625 | + | 0.0934439i | \(0.970212\pi\) | |||||||
\(128\) | −0.841254 | + | 0.540641i | −0.0743570 | + | 0.0477863i | ||||
\(129\) | −1.97071 | + | 2.27432i | −0.173511 | + | 0.200243i | ||||
\(130\) | 1.72005 | − | 3.76638i | 0.150858 | − | 0.330333i | ||||
\(131\) | 1.80527 | + | 1.16018i | 0.157727 | + | 0.101365i | 0.617124 | − | 0.786866i | \(-0.288298\pi\) |
−0.459396 | + | 0.888231i | \(0.651934\pi\) | |||||||
\(132\) | 0.459493 | − | 0.134919i | 0.0399937 | − | 0.0117432i | ||||
\(133\) | 1.84593 | + | 2.13032i | 0.160062 | + | 0.184722i | ||||
\(134\) | −0.741066 | − | 0.217597i | −0.0640184 | − | 0.0187975i | ||||
\(135\) | 0.415415 | + | 0.909632i | 0.0357532 | + | 0.0782887i | ||||
\(136\) | 0.385331 | − | 2.68004i | 0.0330419 | − | 0.229811i | ||||
\(137\) | 10.6596 | 0.910708 | 0.455354 | − | 0.890310i | \(-0.349513\pi\) | ||||
0.455354 | + | 0.890310i | \(0.349513\pi\) | |||||||
\(138\) | −2.79310 | + | 3.89854i | −0.237765 | + | 0.331865i | ||||
\(139\) | 1.03969 | 0.0881857 | 0.0440929 | − | 0.999027i | \(-0.485960\pi\) | ||||
0.0440929 | + | 0.999027i | \(0.485960\pi\) | |||||||
\(140\) | 0.391340 | − | 2.72183i | 0.0330742 | − | 0.230036i | ||||
\(141\) | −1.26675 | − | 2.77379i | −0.106680 | − | 0.233596i | ||||
\(142\) | 7.84603 | + | 2.30380i | 0.658424 | + | 0.193331i | ||||
\(143\) | −1.29851 | − | 1.49856i | −0.108587 | − | 0.125316i | ||||
\(144\) | −0.959493 | + | 0.281733i | −0.0799577 | + | 0.0234777i | ||||
\(145\) | 2.81329 | + | 1.80799i | 0.233631 | + | 0.150146i | ||||
\(146\) | 3.85671 | − | 8.44502i | 0.319184 | − | 0.698915i | ||||
\(147\) | −0.367696 | + | 0.424344i | −0.0303271 | + | 0.0349993i | ||||
\(148\) | 0.518554 | − | 0.333254i | 0.0426249 | − | 0.0273933i | ||||
\(149\) | −1.33978 | − | 9.31837i | −0.109759 | − | 0.763391i | −0.968146 | − | 0.250387i | \(-0.919442\pi\) |
0.858387 | − | 0.513003i | \(-0.171467\pi\) | |||||||
\(150\) | 0.142315 | + | 0.989821i | 0.0116200 | + | 0.0808186i | ||||
\(151\) | −4.28533 | + | 2.75402i | −0.348735 | + | 0.224119i | −0.703268 | − | 0.710925i | \(-0.748276\pi\) |
0.354532 | + | 0.935044i | \(0.384640\pi\) | |||||||
\(152\) | 0.671292 | − | 0.774713i | 0.0544490 | − | 0.0628375i | ||||
\(153\) | 1.12478 | − | 2.46292i | 0.0909328 | − | 0.199115i | ||||
\(154\) | −1.10782 | − | 0.711950i | −0.0892704 | − | 0.0573706i | ||||
\(155\) | −1.91560 | + | 0.562472i | −0.153865 | + | 0.0451788i | ||||
\(156\) | 2.71148 | + | 3.12922i | 0.217093 | + | 0.250538i | ||||
\(157\) | −11.5474 | − | 3.39062i | −0.921581 | − | 0.270601i | −0.213673 | − | 0.976905i | \(-0.568543\pi\) |
−0.707908 | + | 0.706305i | \(0.750361\pi\) | |||||||
\(158\) | −3.04111 | − | 6.65910i | −0.241938 | − | 0.529770i | ||||
\(159\) | 1.62200 | − | 11.2812i | 0.128633 | − | 0.894661i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 13.1315 | − | 1.21573i | 1.03491 | − | 0.0958126i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −1.15784 | + | 8.05296i | −0.0906890 | + | 0.630756i | 0.892890 | + | 0.450276i | \(0.148674\pi\) |
−0.983579 | + | 0.180480i | \(0.942235\pi\) | |||||||
\(164\) | 0.945686 | + | 2.07076i | 0.0738456 | + | 0.161699i | ||||
\(165\) | 0.459493 | + | 0.134919i | 0.0357715 | + | 0.0105035i | ||||
\(166\) | −2.46990 | − | 2.85041i | −0.191701 | − | 0.221235i | ||||
\(167\) | −16.1184 | + | 4.73280i | −1.24728 | + | 0.366235i | −0.837747 | − | 0.546059i | \(-0.816128\pi\) |
−0.409536 | + | 0.912294i | \(0.634309\pi\) | |||||||
\(168\) | 2.31329 | + | 1.48666i | 0.178474 | + | 0.114699i | ||||
\(169\) | 1.72155 | − | 3.76967i | 0.132427 | − | 0.289974i | ||||
\(170\) | 1.77310 | − | 2.04627i | 0.135991 | − | 0.156941i | ||||
\(171\) | 0.862362 | − | 0.554206i | 0.0659465 | − | 0.0423812i | ||||
\(172\) | −0.428276 | − | 2.97872i | −0.0326557 | − | 0.227125i | ||||
\(173\) | −1.85151 | − | 12.8775i | −0.140768 | − | 0.979061i | −0.930678 | − | 0.365839i | \(-0.880782\pi\) |
0.789910 | − | 0.613222i | \(-0.210127\pi\) | |||||||
\(174\) | −2.81329 | + | 1.80799i | −0.213275 | + | 0.137064i | ||||
\(175\) | 1.80075 | − | 2.07817i | 0.136124 | − | 0.157095i | ||||
\(176\) | −0.198939 | + | 0.435615i | −0.0149956 | + | 0.0328357i | ||||
\(177\) | −8.64662 | − | 5.55685i | −0.649920 | − | 0.417678i | ||||
\(178\) | 0.693245 | − | 0.203555i | 0.0519609 | − | 0.0152571i | ||||
\(179\) | −6.36641 | − | 7.34723i | −0.475848 | − | 0.549158i | 0.466181 | − | 0.884689i | \(-0.345629\pi\) |
−0.942029 | + | 0.335532i | \(0.891084\pi\) | |||||||
\(180\) | −0.959493 | − | 0.281733i | −0.0715164 | − | 0.0209991i | ||||
\(181\) | 0.823476 | + | 1.80316i | 0.0612085 | + | 0.134028i | 0.937764 | − | 0.347272i | \(-0.112892\pi\) |
−0.876556 | + | 0.481300i | \(0.840165\pi\) | |||||||
\(182\) | 1.62036 | − | 11.2699i | 0.120109 | − | 0.835378i | ||||
\(183\) | 10.0003 | 0.739241 | ||||||||
\(184\) | −1.11722 | − | 4.66388i | −0.0823628 | − | 0.343826i | ||||
\(185\) | 0.616406 | 0.0453191 | ||||||||
\(186\) | 0.284128 | − | 1.97615i | 0.0208333 | − | 0.144899i | ||||
\(187\) | −0.538646 | − | 1.17947i | −0.0393897 | − | 0.0862514i | ||||
\(188\) | 2.92584 | + | 0.859104i | 0.213389 | + | 0.0626566i | ||||
\(189\) | 1.80075 | + | 2.07817i | 0.130985 | + | 0.151165i | ||||
\(190\) | 0.983568 | − | 0.288802i | 0.0713555 | − | 0.0209519i | ||||
\(191\) | −7.08893 | − | 4.55578i | −0.512937 | − | 0.329644i | 0.258436 | − | 0.966028i | \(-0.416793\pi\) |
−0.771372 | + | 0.636384i | \(0.780429\pi\) | |||||||
\(192\) | 0.415415 | − | 0.909632i | 0.0299800 | − | 0.0656470i | ||||
\(193\) | −13.7502 | + | 15.8686i | −0.989763 | + | 1.14225i | 6.85072e−5 | 1.00000i | \(0.499978\pi\) | |
−0.989831 | + | 0.142247i | \(0.954567\pi\) | |||||||
\(194\) | −4.36002 | + | 2.80202i | −0.313031 | + | 0.201173i | ||||
\(195\) | 0.589262 | + | 4.09841i | 0.0421979 | + | 0.293493i | ||||
\(196\) | −0.0799081 | − | 0.555773i | −0.00570772 | − | 0.0396981i | ||||
\(197\) | −21.6578 | + | 13.9186i | −1.54305 | + | 0.991659i | −0.556014 | + | 0.831173i | \(0.687670\pi\) |
−0.987038 | + | 0.160486i | \(0.948694\pi\) | |||||||
\(198\) | −0.313607 | + | 0.361922i | −0.0222871 | + | 0.0257207i | ||||
\(199\) | 8.38313 | − | 18.3565i | 0.594264 | − | 1.30126i | −0.338567 | − | 0.940942i | \(-0.609942\pi\) |
0.932831 | − | 0.360314i | \(-0.117331\pi\) | |||||||
\(200\) | −0.841254 | − | 0.540641i | −0.0594856 | − | 0.0382291i | ||||
\(201\) | 0.741066 | − | 0.217597i | 0.0522708 | − | 0.0153481i | ||||
\(202\) | −3.83750 | − | 4.42871i | −0.270006 | − | 0.311603i | ||||
\(203\) | 8.82335 | + | 2.59077i | 0.619278 | + | 0.181836i | ||||
\(204\) | 1.12478 | + | 2.46292i | 0.0787502 | + | 0.172439i | ||||
\(205\) | −0.323977 | + | 2.25331i | −0.0226276 | + | 0.157378i | ||||
\(206\) | 2.83961 | 0.197845 | ||||||||
\(207\) | 0.242000 | − | 4.78972i | 0.0168202 | − | 0.332909i | ||||
\(208\) | −4.14055 | −0.287096 | ||||||||
\(209\) | 0.0698634 | − | 0.485911i | 0.00483256 | − | 0.0336112i | ||||
\(210\) | 1.14231 | + | 2.50132i | 0.0788272 | + | 0.172608i | ||||
\(211\) | 20.2644 | + | 5.95016i | 1.39506 | + | 0.409626i | 0.890984 | − | 0.454034i | \(-0.150016\pi\) |
0.504074 | + | 0.863660i | \(0.331834\pi\) | |||||||
\(212\) | 7.46361 | + | 8.61347i | 0.512603 | + | 0.591575i | ||||
\(213\) | −7.84603 | + | 2.30380i | −0.537601 | + | 0.157854i | ||||
\(214\) | 12.1765 | + | 7.82539i | 0.832371 | + | 0.534933i | ||||
\(215\) | 1.25013 | − | 2.73740i | 0.0852582 | − | 0.186689i | ||||
\(216\) | 0.654861 | − | 0.755750i | 0.0445576 | − | 0.0514222i | ||||
\(217\) | −4.61843 | + | 2.96808i | −0.313519 | + | 0.201487i | ||||
\(218\) | −1.45076 | − | 10.0902i | −0.0982578 | − | 0.683398i | ||||
\(219\) | 1.32125 | + | 9.18950i | 0.0892819 | + | 0.620969i | ||||
\(220\) | −0.402869 | + | 0.258908i | −0.0271614 | + | 0.0174556i | ||||
\(221\) | 7.34161 | − | 8.47267i | 0.493850 | − | 0.569934i | ||||
\(222\) | −0.256064 | + | 0.560703i | −0.0171859 | + | 0.0376319i | ||||
\(223\) | −20.8129 | − | 13.3757i | −1.39374 | − | 0.895700i | −0.394010 | − | 0.919106i | \(-0.628913\pi\) |
−0.999726 | + | 0.0234061i | \(0.992549\pi\) | |||||||
\(224\) | −2.63843 | + | 0.774713i | −0.176287 | + | 0.0517627i | ||||
\(225\) | −0.654861 | − | 0.755750i | −0.0436574 | − | 0.0503833i | ||||
\(226\) | −9.39709 | − | 2.75924i | −0.625085 | − | 0.183542i | ||||
\(227\) | 1.90950 | + | 4.18123i | 0.126738 | + | 0.277518i | 0.962355 | − | 0.271794i | \(-0.0876170\pi\) |
−0.835617 | + | 0.549312i | \(0.814890\pi\) | |||||||
\(228\) | −0.145886 | + | 1.01466i | −0.00966152 | + | 0.0671974i | ||||
\(229\) | 5.75305 | 0.380172 | 0.190086 | − | 0.981767i | \(-0.439123\pi\) | ||||
0.190086 | + | 0.981767i | \(0.439123\pi\) | |||||||
\(230\) | 1.58162 | − | 4.52753i | 0.104289 | − | 0.298536i | ||||
\(231\) | 1.31686 | 0.0866432 | ||||||||
\(232\) | 0.475925 | − | 3.31013i | 0.0312460 | − | 0.217321i | ||||
\(233\) | −7.61611 | − | 16.6770i | −0.498948 | − | 1.09254i | −0.976810 | − | 0.214109i | \(-0.931315\pi\) |
0.477862 | − | 0.878435i | \(-0.341412\pi\) | |||||||
\(234\) | −3.97283 | − | 1.16653i | −0.259712 | − | 0.0762583i | ||||
\(235\) | 1.99691 | + | 2.30455i | 0.130264 | + | 0.150332i | ||||
\(236\) | 9.86192 | − | 2.89572i | 0.641956 | − | 0.188495i | ||||
\(237\) | 6.15853 | + | 3.95785i | 0.400039 | + | 0.257090i | ||||
\(238\) | 3.09293 | − | 6.77257i | 0.200485 | − | 0.439001i | ||||
\(239\) | −1.51131 | + | 1.74415i | −0.0977587 | + | 0.112820i | −0.802521 | − | 0.596624i | \(-0.796508\pi\) |
0.704762 | + | 0.709444i | \(0.251054\pi\) | |||||||
\(240\) | 0.841254 | − | 0.540641i | 0.0543027 | − | 0.0348982i | ||||
\(241\) | −2.82547 | − | 19.6516i | −0.182005 | − | 1.26587i | −0.852015 | − | 0.523518i | \(-0.824619\pi\) |
0.670010 | − | 0.742352i | \(-0.266290\pi\) | |||||||
\(242\) | −1.53283 | − | 10.6610i | −0.0985337 | − | 0.685317i | ||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | −6.54878 | + | 7.55770i | −0.419243 | + | 0.483832i | ||||
\(245\) | 0.233250 | − | 0.510747i | 0.0149018 | − | 0.0326305i | ||||
\(246\) | −1.91510 | − | 1.23076i | −0.122102 | − | 0.0784704i | ||||
\(247\) | 4.07252 | − | 1.19580i | 0.259128 | − | 0.0760868i | ||||
\(248\) | 1.30741 | + | 1.50883i | 0.0830207 | + | 0.0958110i | ||||
\(249\) | 3.61886 | + | 1.06259i | 0.229336 | + | 0.0673391i | ||||
\(250\) | −0.415415 | − | 0.909632i | −0.0262732 | − | 0.0575302i | ||||
\(251\) | −4.14088 | + | 28.8005i | −0.261370 | + | 1.81787i | 0.261212 | + | 0.965281i | \(0.415878\pi\) |
−0.522583 | + | 0.852589i | \(0.675031\pi\) | |||||||
\(252\) | −2.74982 | −0.173222 | ||||||||
\(253\) | −1.65761 | − | 1.58968i | −0.104213 | − | 0.0999421i | ||||
\(254\) | −1.10890 | −0.0695783 | ||||||||
\(255\) | −0.385331 | + | 2.68004i | −0.0241304 | + | 0.167831i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | 23.6658 | + | 6.94891i | 1.47623 | + | 0.433461i | 0.918119 | − | 0.396304i | \(-0.129707\pi\) |
0.558113 | + | 0.829765i | \(0.311525\pi\) | |||||||
\(258\) | 1.97071 | + | 2.27432i | 0.122691 | + | 0.141593i | ||||
\(259\) | 1.62634 | − | 0.477538i | 0.101056 | − | 0.0296728i | ||||
\(260\) | −3.48325 | − | 2.23855i | −0.216022 | − | 0.138829i | ||||
\(261\) | 1.38922 | − | 3.04196i | 0.0859904 | − | 0.188293i | ||||
\(262\) | 1.40529 | − | 1.62179i | 0.0868189 | − | 0.100194i | ||||
\(263\) | 8.23984 | − | 5.29542i | 0.508090 | − | 0.326530i | −0.261355 | − | 0.965243i | \(-0.584169\pi\) |
0.769445 | + | 0.638713i | \(0.220533\pi\) | |||||||
\(264\) | −0.0681534 | − | 0.474017i | −0.00419455 | − | 0.0291737i | ||||
\(265\) | 1.62200 | + | 11.2812i | 0.0996385 | + | 0.693001i | ||||
\(266\) | 2.37134 | − | 1.52397i | 0.145396 | − | 0.0934403i | ||||
\(267\) | −0.473145 | + | 0.546038i | −0.0289560 | + | 0.0334170i | ||||
\(268\) | −0.320847 | + | 0.702556i | −0.0195988 | + | 0.0429154i | ||||
\(269\) | −13.0653 | − | 8.39654i | −0.796604 | − | 0.511946i | 0.0779021 | − | 0.996961i | \(-0.475178\pi\) |
−0.874506 | + | 0.485015i | \(0.838814\pi\) | |||||||
\(270\) | 0.959493 | − | 0.281733i | 0.0583929 | − | 0.0171457i | ||||
\(271\) | 18.3444 | + | 21.1705i | 1.11434 | + | 1.28602i | 0.954281 | + | 0.298910i | \(0.0966230\pi\) |
0.160059 | + | 0.987107i | \(0.448832\pi\) | |||||||
\(272\) | −2.59792 | − | 0.762819i | −0.157522 | − | 0.0462527i | ||||
\(273\) | 4.72981 | + | 10.3568i | 0.286261 | + | 0.626825i | ||||
\(274\) | 1.51701 | − | 10.5511i | 0.0916462 | − | 0.637413i | ||||
\(275\) | −0.478891 | −0.0288782 | ||||||||
\(276\) | 3.46135 | + | 3.31949i | 0.208349 | + | 0.199810i | ||||
\(277\) | −18.5401 | −1.11396 | −0.556982 | − | 0.830525i | \(-0.688041\pi\) | ||||
−0.556982 | + | 0.830525i | \(0.688041\pi\) | |||||||
\(278\) | 0.147964 | − | 1.02911i | 0.00887429 | − | 0.0617220i | ||||
\(279\) | 0.829365 | + | 1.81606i | 0.0496528 | + | 0.108724i | ||||
\(280\) | −2.63843 | − | 0.774713i | −0.157676 | − | 0.0462979i | ||||
\(281\) | 18.5420 | + | 21.3986i | 1.10612 | + | 1.27653i | 0.957751 | + | 0.287599i | \(0.0928569\pi\) |
0.148369 | + | 0.988932i | \(0.452598\pi\) | |||||||
\(282\) | −2.92584 | + | 0.859104i | −0.174231 | + | 0.0511589i | ||||
\(283\) | −7.59826 | − | 4.88311i | −0.451670 | − | 0.290271i | 0.294961 | − | 0.955509i | \(-0.404693\pi\) |
−0.746631 | + | 0.665239i | \(0.768330\pi\) | |||||||
\(284\) | 3.39696 | − | 7.43830i | 0.201572 | − | 0.441382i | ||||
\(285\) | −0.671292 | + | 0.774713i | −0.0397639 | + | 0.0458900i | ||||
\(286\) | −1.66810 | + | 1.07202i | −0.0986368 | + | 0.0633900i | ||||
\(287\) | 0.890878 | + | 6.19620i | 0.0525869 | + | 0.365750i | ||||
\(288\) | 0.142315 | + | 0.989821i | 0.00838598 | + | 0.0583258i | ||||
\(289\) | −8.13400 | + | 5.22741i | −0.478471 | + | 0.307495i | ||||
\(290\) | 2.18996 | − | 2.52735i | 0.128599 | − | 0.148411i | ||||
\(291\) | 2.15300 | − | 4.71441i | 0.126211 | − | 0.276364i | ||||
\(292\) | −7.81020 | − | 5.01931i | −0.457057 | − | 0.293733i | ||||
\(293\) | −17.6278 | + | 5.17599i | −1.02983 | + | 0.302385i | −0.752641 | − | 0.658431i | \(-0.771220\pi\) |
−0.277187 | + | 0.960816i | \(0.589402\pi\) | |||||||
\(294\) | 0.367696 | + | 0.424344i | 0.0214445 | + | 0.0247483i | ||||
\(295\) | 9.86192 | + | 2.89572i | 0.574183 | + | 0.168595i | ||||
\(296\) | −0.256064 | − | 0.560703i | −0.0148834 | − | 0.0325902i | ||||
\(297\) | 0.0681534 | − | 0.474017i | 0.00395466 | − | 0.0275053i | ||||
\(298\) | −9.41419 | −0.545350 | ||||||||
\(299\) | 6.54877 | − | 18.7465i | 0.378725 | − | 1.08414i | ||||
\(300\) | 1.00000 | 0.0577350 | ||||||||
\(301\) | 1.17768 | − | 8.19094i | 0.0678803 | − | 0.472118i | ||||
\(302\) | 2.11612 | + | 4.63365i | 0.121769 | + | 0.266637i | ||||
\(303\) | 5.62265 | + | 1.65096i | 0.323013 | + | 0.0948452i | ||||
\(304\) | −0.671292 | − | 0.774713i | −0.0385013 | − | 0.0444328i | ||||
\(305\) | −9.59519 | + | 2.81740i | −0.549419 | + | 0.161324i | ||||
\(306\) | −2.27778 | − | 1.46384i | −0.130212 | − | 0.0836821i | ||||
\(307\) | −8.52437 | + | 18.6658i | −0.486512 | + | 1.06531i | 0.494110 | + | 0.869400i | \(0.335494\pi\) |
−0.980621 | + | 0.195912i | \(0.937233\pi\) | |||||||
\(308\) | −0.862362 | + | 0.995219i | −0.0491376 | + | 0.0567079i | ||||
\(309\) | −2.38883 | + | 1.53521i | −0.135896 | + | 0.0873348i | ||||
\(310\) | 0.284128 | + | 1.97615i | 0.0161374 | + | 0.112238i | ||||
\(311\) | 3.73564 | + | 25.9819i | 0.211829 | + | 1.47330i | 0.767045 | + | 0.641594i | \(0.221726\pi\) |
−0.555216 | + | 0.831706i | \(0.687364\pi\) | |||||||
\(312\) | 3.48325 | − | 2.23855i | 0.197200 | − | 0.126733i | ||||
\(313\) | 11.4831 | − | 13.2522i | 0.649063 | − | 0.749059i | −0.331887 | − | 0.943319i | \(-0.607685\pi\) |
0.980950 | + | 0.194260i | \(0.0622306\pi\) | |||||||
\(314\) | −4.99947 | + | 10.9473i | −0.282136 | + | 0.617792i | ||||
\(315\) | −2.31329 | − | 1.48666i | −0.130339 | − | 0.0837640i | ||||
\(316\) | −7.02412 | + | 2.06247i | −0.395138 | + | 0.116023i | ||||
\(317\) | −2.70121 | − | 3.11737i | −0.151715 | − | 0.175089i | 0.674804 | − | 0.737997i | \(-0.264228\pi\) |
−0.826520 | + | 0.562908i | \(0.809683\pi\) | |||||||
\(318\) | −10.9356 | − | 3.21098i | −0.613237 | − | 0.180063i | ||||
\(319\) | −0.665284 | − | 1.45677i | −0.0372488 | − | 0.0815634i | ||||
\(320\) | −0.142315 | + | 0.989821i | −0.00795564 | + | 0.0553327i | ||||
\(321\) | −14.4743 | −0.807876 | ||||||||
\(322\) | 0.665456 | − | 13.1709i | 0.0370844 | − | 0.733983i | ||||
\(323\) | 2.77554 | 0.154435 | ||||||||
\(324\) | −0.142315 | + | 0.989821i | −0.00790638 | + | 0.0549901i | ||||
\(325\) | −1.72005 | − | 3.76638i | −0.0954111 | − | 0.208921i | ||||
\(326\) | 7.80621 | + | 2.29211i | 0.432346 | + | 0.126948i | ||||
\(327\) | 6.67565 | + | 7.70412i | 0.369165 | + | 0.426039i | ||||
\(328\) | 2.18427 | − | 0.641360i | 0.120606 | − | 0.0354132i | ||||
\(329\) | 7.05406 | + | 4.53337i | 0.388903 | + | 0.249933i | ||||
\(330\) | 0.198939 | − | 0.435615i | 0.0109512 | − | 0.0239798i | ||||
\(331\) | −11.4539 | + | 13.2185i | −0.629561 | + | 0.726552i | −0.977493 | − | 0.210968i | \(-0.932339\pi\) |
0.347932 | + | 0.937520i | \(0.386884\pi\) | |||||||
\(332\) | −3.17290 | + | 2.03910i | −0.174136 | + | 0.111910i | ||||
\(333\) | −0.0877238 | − | 0.610132i | −0.00480723 | − | 0.0334350i | ||||
\(334\) | 2.39074 | + | 16.6279i | 0.130815 | + | 0.909840i | ||||
\(335\) | −0.649744 | + | 0.417565i | −0.0354993 | + | 0.0228140i | ||||
\(336\) | 1.80075 | − | 2.07817i | 0.0982388 | − | 0.113374i | ||||
\(337\) | −14.7031 | + | 32.1952i | −0.800928 | + | 1.75379i | −0.158620 | + | 0.987340i | \(0.550704\pi\) |
−0.642308 | + | 0.766447i | \(0.722023\pi\) | |||||||
\(338\) | −3.48629 | − | 2.24051i | −0.189629 | − | 0.121867i | ||||
\(339\) | 9.39709 | − | 2.75924i | 0.510380 | − | 0.149861i | ||||
\(340\) | −1.77310 | − | 2.04627i | −0.0961599 | − | 0.110974i | ||||
\(341\) | 0.917365 | + | 0.269363i | 0.0496781 | + | 0.0145868i | ||||
\(342\) | −0.425839 | − | 0.932456i | −0.0230267 | − | 0.0504215i | ||||
\(343\) | −2.51964 | + | 17.5245i | −0.136048 | + | 0.946235i | ||||
\(344\) | −3.00935 | −0.162253 | ||||||||
\(345\) | 1.11722 | + | 4.66388i | 0.0601493 | + | 0.251095i | ||||
\(346\) | −13.0100 | −0.699420 | ||||||||
\(347\) | −4.40299 | + | 30.6235i | −0.236365 | + | 1.64395i | 0.433271 | + | 0.901264i | \(0.357359\pi\) |
−0.669635 | + | 0.742690i | \(0.733550\pi\) | |||||||
\(348\) | 1.38922 | + | 3.04196i | 0.0744699 | + | 0.163066i | ||||
\(349\) | −2.38299 | − | 0.699709i | −0.127559 | − | 0.0374546i | 0.217330 | − | 0.976098i | \(-0.430265\pi\) |
−0.344889 | + | 0.938644i | \(0.612083\pi\) | |||||||
\(350\) | −1.80075 | − | 2.07817i | −0.0962539 | − | 0.111083i | ||||
\(351\) | 3.97283 | − | 1.16653i | 0.212054 | − | 0.0622647i | ||||
\(352\) | 0.402869 | + | 0.258908i | 0.0214730 | + | 0.0137999i | ||||
\(353\) | 4.62459 | − | 10.1264i | 0.246142 | − | 0.538976i | −0.745725 | − | 0.666254i | \(-0.767897\pi\) |
0.991867 | + | 0.127278i | \(0.0406240\pi\) | |||||||
\(354\) | −6.73083 | + | 7.76779i | −0.357740 | + | 0.412853i | ||||
\(355\) | 6.87915 | − | 4.42096i | 0.365108 | − | 0.234640i | ||||
\(356\) | −0.102824 | − | 0.715158i | −0.00544967 | − | 0.0379033i | ||||
\(357\) | 1.05959 | + | 7.36962i | 0.0560795 | + | 0.390041i | ||||
\(358\) | −8.17848 | + | 5.25599i | −0.432246 | + | 0.277788i | ||||
\(359\) | −18.2965 | + | 21.1153i | −0.965651 | + | 1.11442i | 0.0277374 | + | 0.999615i | \(0.491170\pi\) |
−0.993388 | + | 0.114805i | \(0.963376\pi\) | |||||||
\(360\) | −0.415415 | + | 0.909632i | −0.0218943 | + | 0.0479418i | ||||
\(361\) | −15.0998 | − | 9.70406i | −0.794727 | − | 0.510740i | ||||
\(362\) | 1.90200 | − | 0.558477i | 0.0999669 | − | 0.0293529i | ||||
\(363\) | 7.05328 | + | 8.13992i | 0.370201 | + | 0.427235i | ||||
\(364\) | −10.9246 | − | 3.20774i | −0.572602 | − | 0.168131i | ||||
\(365\) | −3.85671 | − | 8.44502i | −0.201870 | − | 0.442033i | ||||
\(366\) | 1.42319 | − | 9.89848i | 0.0743911 | − | 0.517402i | ||||
\(367\) | 4.34188 | 0.226644 | 0.113322 | − | 0.993558i | \(-0.463851\pi\) | ||||
0.113322 | + | 0.993558i | \(0.463851\pi\) | |||||||
\(368\) | −4.77541 | + | 0.442111i | −0.248935 | + | 0.0230467i | ||||
\(369\) | 2.27648 | 0.118509 | ||||||||
\(370\) | 0.0877238 | − | 0.610132i | 0.00456054 | − | 0.0317193i | ||||
\(371\) | 13.0192 | + | 28.5082i | 0.675926 | + | 1.48007i | ||||
\(372\) | −1.91560 | − | 0.562472i | −0.0993193 | − | 0.0291628i | ||||
\(373\) | 7.44750 | + | 8.59488i | 0.385617 | + | 0.445026i | 0.915059 | − | 0.403320i | \(-0.132144\pi\) |
−0.529442 | + | 0.848346i | \(0.677599\pi\) | |||||||
\(374\) | −1.24412 | + | 0.365307i | −0.0643321 | + | 0.0188896i | ||||
\(375\) | 0.841254 | + | 0.540641i | 0.0434421 | + | 0.0279186i | ||||
\(376\) | 1.26675 | − | 2.77379i | 0.0653276 | − | 0.143048i | ||||
\(377\) | 9.06766 | − | 10.4646i | 0.467008 | − | 0.538956i | ||||
\(378\) | 2.31329 | − | 1.48666i | 0.118983 | − | 0.0764657i | ||||
\(379\) | 1.99499 | + | 13.8755i | 0.102476 | + | 0.712736i | 0.974682 | + | 0.223597i | \(0.0717798\pi\) |
−0.872206 | + | 0.489139i | \(0.837311\pi\) | |||||||
\(380\) | −0.145886 | − | 1.01466i | −0.00748378 | − | 0.0520508i | ||||
\(381\) | 0.932863 | − | 0.599515i | 0.0477920 | − | 0.0307141i | ||||
\(382\) | −5.51827 | + | 6.36842i | −0.282339 | + | 0.325837i | ||||
\(383\) | 1.89579 | − | 4.15120i | 0.0968704 | − | 0.212117i | −0.854993 | − | 0.518640i | \(-0.826438\pi\) |
0.951863 | + | 0.306523i | \(0.0991658\pi\) | |||||||
\(384\) | −0.841254 | − | 0.540641i | −0.0429300 | − | 0.0275895i | ||||
\(385\) | −1.26352 | + | 0.371003i | −0.0643950 | + | 0.0189081i | ||||
\(386\) | 13.7502 | + | 15.8686i | 0.699868 | + | 0.807691i | ||||
\(387\) | −2.88745 | − | 0.847833i | −0.146778 | − | 0.0430978i | ||||
\(388\) | 2.15300 | + | 4.71441i | 0.109302 | + | 0.239338i | ||||
\(389\) | 0.794976 | − | 5.52918i | 0.0403069 | − | 0.280341i | −0.959693 | − | 0.281051i | \(-0.909317\pi\) |
1.00000 | 0.000710333i | \(0.000226106\pi\) | ||||||||
\(390\) | 4.14055 | 0.209665 | ||||||||
\(391\) | 7.56260 | − | 10.5557i | 0.382457 | − | 0.533823i | ||||
\(392\) | −0.561488 | −0.0283594 | ||||||||
\(393\) | −0.305398 | + | 2.12409i | −0.0154053 | + | 0.107146i | ||||
\(394\) | 10.6947 | + | 23.4181i | 0.538792 | + | 1.17979i | ||||
\(395\) | −7.02412 | − | 2.06247i | −0.353422 | − | 0.103774i | ||||
\(396\) | 0.313607 | + | 0.361922i | 0.0157594 | + | 0.0181873i | ||||
\(397\) | 4.78156 | − | 1.40399i | 0.239980 | − | 0.0704644i | −0.159531 | − | 0.987193i | \(-0.550998\pi\) |
0.399511 | + | 0.916728i | \(0.369180\pi\) | |||||||
\(398\) | −16.9766 | − | 10.9102i | −0.850960 | − | 0.546879i | ||||
\(399\) | −1.17098 | + | 2.56408i | −0.0586222 | + | 0.128365i | ||||
\(400\) | −0.654861 | + | 0.755750i | −0.0327430 | + | 0.0377875i | ||||
\(401\) | −2.28032 | + | 1.46547i | −0.113874 | + | 0.0731823i | −0.596338 | − | 0.802733i | \(-0.703378\pi\) |
0.482464 | + | 0.875916i | \(0.339742\pi\) | |||||||
\(402\) | −0.109917 | − | 0.764490i | −0.00548217 | − | 0.0381293i | ||||
\(403\) | 1.17645 | + | 8.18236i | 0.0586029 | + | 0.407592i | ||||
\(404\) | −4.92977 | + | 3.16817i | −0.245265 | + | 0.157622i | ||||
\(405\) | −0.654861 | + | 0.755750i | −0.0325403 | + | 0.0375535i | ||||
\(406\) | 3.82009 | − | 8.36483i | 0.189588 | − | 0.415140i | ||||
\(407\) | −0.248331 | − | 0.159593i | −0.0123093 | − | 0.00791072i | ||||
\(408\) | 2.59792 | − | 0.762819i | 0.128616 | − | 0.0377652i | ||||
\(409\) | −20.7734 | − | 23.9738i | −1.02718 | − | 1.18543i | −0.982469 | − | 0.186427i | \(-0.940309\pi\) |
−0.0447091 | − | 0.999000i | \(-0.514236\pi\) | |||||||
\(410\) | 2.18427 | + | 0.641360i | 0.107873 | + | 0.0316745i | ||||
\(411\) | 4.42814 | + | 9.69628i | 0.218424 | + | 0.478282i | ||||
\(412\) | 0.404118 | − | 2.81070i | 0.0199095 | − | 0.138473i | ||||
\(413\) | 28.2633 | 1.39075 | ||||||||
\(414\) | −4.70653 | − | 0.921186i | −0.231313 | − | 0.0452738i | ||||
\(415\) | −3.77164 | −0.185142 | ||||||||
\(416\) | −0.589262 | + | 4.09841i | −0.0288909 | + | 0.200941i | ||||
\(417\) | 0.431905 | + | 0.945739i | 0.0211505 | + | 0.0463130i | ||||
\(418\) | −0.471022 | − | 0.138305i | −0.0230385 | − | 0.00676470i | ||||
\(419\) | 4.40657 | + | 5.08546i | 0.215275 | + | 0.248441i | 0.853108 | − | 0.521734i | \(-0.174715\pi\) |
−0.637833 | + | 0.770175i | \(0.720169\pi\) | |||||||
\(420\) | 2.63843 | − | 0.774713i | 0.128742 | − | 0.0378021i | ||||
\(421\) | −27.3378 | − | 17.5689i | −1.33236 | − | 0.856258i | −0.336033 | − | 0.941850i | \(-0.609085\pi\) |
−0.996330 | + | 0.0855928i | \(0.972722\pi\) | |||||||
\(422\) | 8.77352 | − | 19.2113i | 0.427088 | − | 0.935193i | ||||
\(423\) | 1.99691 | − | 2.30455i | 0.0970929 | − | 0.112051i | ||||
\(424\) | 9.58797 | − | 6.16182i | 0.465633 | − | 0.299244i | ||||
\(425\) | −0.385331 | − | 2.68004i | −0.0186913 | − | 0.130001i | ||||
\(426\) | 1.16375 | + | 8.09403i | 0.0563837 | + | 0.392157i | ||||
\(427\) | −23.1335 | + | 14.8670i | −1.11951 | + | 0.719466i | ||||
\(428\) | 9.47864 | − | 10.9389i | 0.458167 | − | 0.528753i | ||||
\(429\) | 0.823716 | − | 1.80369i | 0.0397694 | − | 0.0870828i | ||||
\(430\) | −2.53163 | − | 1.62698i | −0.122086 | − | 0.0784599i | ||||
\(431\) | −17.0919 | + | 5.01864i | −0.823289 | + | 0.241739i | −0.666132 | − | 0.745834i | \(-0.732051\pi\) |
−0.157157 | + | 0.987574i | \(0.550233\pi\) | |||||||
\(432\) | −0.654861 | − | 0.755750i | −0.0315070 | − | 0.0363610i | ||||
\(433\) | −8.21324 | − | 2.41162i | −0.394703 | − | 0.115895i | 0.0783572 | − | 0.996925i | \(-0.475033\pi\) |
−0.473060 | + | 0.881030i | \(0.656851\pi\) | |||||||
\(434\) | 2.28060 | + | 4.99382i | 0.109472 | + | 0.239711i | ||||
\(435\) | −0.475925 | + | 3.31013i | −0.0228188 | + | 0.158709i | ||||
\(436\) | −10.1940 | −0.488204 | ||||||||
\(437\) | 4.56926 | − | 1.81399i | 0.218577 | − | 0.0867751i | ||||
\(438\) | 9.28400 | 0.443607 | ||||||||
\(439\) | −0.294283 | + | 2.04678i | −0.0140454 | + | 0.0976876i | −0.995638 | − | 0.0932977i | \(-0.970259\pi\) |
0.981593 | + | 0.190985i | \(0.0611683\pi\) | |||||||
\(440\) | 0.198939 | + | 0.435615i | 0.00948403 | + | 0.0207671i | ||||
\(441\) | −0.538744 | − | 0.158189i | −0.0256545 | − | 0.00753283i | ||||
\(442\) | −7.34161 | − | 8.47267i | −0.349205 | − | 0.403004i | ||||
\(443\) | 27.2420 | − | 7.99897i | 1.29431 | − | 0.380043i | 0.439151 | − | 0.898413i | \(-0.355279\pi\) |
0.855156 | + | 0.518371i | \(0.173461\pi\) | |||||||
\(444\) | 0.518554 | + | 0.333254i | 0.0246095 | + | 0.0158156i | ||||
\(445\) | 0.300142 | − | 0.657220i | 0.0142281 | − | 0.0311552i | ||||
\(446\) | −16.2015 | + | 18.6975i | −0.767163 | + | 0.885353i | ||||
\(447\) | 7.91972 | − | 5.08970i | 0.374590 | − | 0.240734i | ||||
\(448\) | 0.391340 | + | 2.72183i | 0.0184891 | + | 0.128594i | ||||
\(449\) | 0.259864 | + | 1.80739i | 0.0122637 | + | 0.0852960i | 0.995034 | − | 0.0995347i | \(-0.0317354\pi\) |
−0.982770 | + | 0.184831i | \(0.940826\pi\) | |||||||
\(450\) | −0.841254 | + | 0.540641i | −0.0396571 | + | 0.0254861i | ||||
\(451\) | 0.713922 | − | 0.823910i | 0.0336173 | − | 0.0387964i | ||||
\(452\) | −4.06850 | + | 8.90876i | −0.191366 | + | 0.419033i | ||||
\(453\) | −4.28533 | − | 2.75402i | −0.201342 | − | 0.129395i | ||||
\(454\) | 4.41042 | − | 1.29502i | 0.206991 | − | 0.0607782i | ||||
\(455\) | −7.45608 | − | 8.60478i | −0.349547 | − | 0.403398i | ||||
\(456\) | 0.983568 | + | 0.288802i | 0.0460598 | + | 0.0135244i | ||||
\(457\) | −3.27423 | − | 7.16957i | −0.153162 | − | 0.335378i | 0.817461 | − | 0.575984i | \(-0.195381\pi\) |
−0.970623 | + | 0.240606i | \(0.922654\pi\) | |||||||
\(458\) | 0.818744 | − | 5.69449i | 0.0382574 | − | 0.266086i | ||||
\(459\) | 2.70760 | 0.126380 | ||||||||
\(460\) | −4.25635 | − | 2.20985i | −0.198454 | − | 0.103035i | ||||
\(461\) | −19.9072 | −0.927170 | −0.463585 | − | 0.886053i | \(-0.653437\pi\) | ||||
−0.463585 | + | 0.886053i | \(0.653437\pi\) | |||||||
\(462\) | 0.187409 | − | 1.30346i | 0.00871906 | − | 0.0606424i | ||||
\(463\) | −16.4657 | − | 36.0549i | −0.765228 | − | 1.67561i | −0.736887 | − | 0.676016i | \(-0.763705\pi\) |
−0.0283410 | − | 0.999598i | \(-0.509022\pi\) | |||||||
\(464\) | −3.20870 | − | 0.942161i | −0.148960 | − | 0.0437387i | ||||
\(465\) | −1.30741 | − | 1.50883i | −0.0606298 | − | 0.0699705i | ||||
\(466\) | −17.5911 | + | 5.16521i | −0.814892 | + | 0.239274i | ||||
\(467\) | −8.00465 | − | 5.14428i | −0.370411 | − | 0.238049i | 0.342171 | − | 0.939638i | \(-0.388838\pi\) |
−0.712582 | + | 0.701589i | \(0.752474\pi\) | |||||||
\(468\) | −1.72005 | + | 3.76638i | −0.0795092 | + | 0.174101i | ||||
\(469\) | −1.39081 | + | 1.60508i | −0.0642216 | + | 0.0741157i | ||||
\(470\) | 2.56528 | − | 1.64861i | 0.118328 | − | 0.0760446i | ||||
\(471\) | −1.71274 | − | 11.9124i | −0.0789190 | − | 0.548893i | ||||
\(472\) | −1.46275 | − | 10.1736i | −0.0673285 | − | 0.468280i | ||||
\(473\) | −1.21238 | + | 0.779147i | −0.0557451 | + | 0.0358252i | ||||
\(474\) | 4.79401 | − | 5.53258i | 0.220196 | − | 0.254120i | ||||
\(475\) | 0.425839 | − | 0.932456i | 0.0195388 | − | 0.0427840i | ||||
\(476\) | −6.26347 | − | 4.02529i | −0.287086 | − | 0.184499i | ||||
\(477\) | 10.9356 | − | 3.21098i | 0.500706 | − | 0.147020i | ||||
\(478\) | 1.51131 | + | 1.74415i | 0.0691258 | + | 0.0797754i | ||||
\(479\) | 26.2547 | + | 7.70908i | 1.19961 | + | 0.352237i | 0.819703 | − | 0.572789i | \(-0.194138\pi\) |
0.379905 | + | 0.925025i | \(0.375957\pi\) | |||||||
\(480\) | −0.415415 | − | 0.909632i | −0.0189610 | − | 0.0415188i | ||||
\(481\) | 0.363225 | − | 2.52628i | 0.0165616 | − | 0.115189i | ||||
\(482\) | −19.8537 | −0.904309 | ||||||||
\(483\) | 6.56088 | + | 11.4398i | 0.298531 | + | 0.520529i | ||||
\(484\) | −10.7707 | −0.489576 | ||||||||
\(485\) | −0.737585 | + | 5.13002i | −0.0334920 | + | 0.232942i | ||||
\(486\) | −0.415415 | − | 0.909632i | −0.0188436 | − | 0.0412617i | ||||
\(487\) | 0.773470 | + | 0.227111i | 0.0350493 | + | 0.0102914i | 0.299210 | − | 0.954187i | \(-0.403277\pi\) |
−0.264161 | + | 0.964479i | \(0.585095\pi\) | |||||||
\(488\) | 6.54878 | + | 7.55770i | 0.296449 | + | 0.342121i | ||||
\(489\) | −7.80621 | + | 2.29211i | −0.353009 | + | 0.103653i | ||||
\(490\) | −0.472354 | − | 0.303563i | −0.0213388 | − | 0.0137136i | ||||
\(491\) | 2.18102 | − | 4.77576i | 0.0984279 | − | 0.215527i | −0.854012 | − | 0.520253i | \(-0.825838\pi\) |
0.952440 | + | 0.304726i | \(0.0985649\pi\) | |||||||
\(492\) | −1.49078 | + | 1.72045i | −0.0672096 | + | 0.0775640i | ||||
\(493\) | 7.61727 | − | 4.89532i | 0.343064 | − | 0.220474i | ||||
\(494\) | −0.604048 | − | 4.20124i | −0.0271774 | − | 0.189023i | ||||
\(495\) | 0.0681534 | + | 0.474017i | 0.00306327 | + | 0.0213055i | ||||
\(496\) | 1.67954 | − | 1.07937i | 0.0754136 | − | 0.0484654i | ||||
\(497\) | 14.7252 | − | 16.9938i | 0.660515 | − | 0.762275i | ||||
\(498\) | 1.56679 | − | 3.43080i | 0.0702097 | − | 0.153738i | ||||
\(499\) | −27.0586 | − | 17.3895i | −1.21131 | − | 0.778461i | −0.230431 | − | 0.973089i | \(-0.574014\pi\) |
−0.980877 | + | 0.194628i | \(0.937650\pi\) | |||||||
\(500\) | −0.959493 | + | 0.281733i | −0.0429098 | + | 0.0125995i | ||||
\(501\) | −11.0010 | − | 12.6958i | −0.491486 | − | 0.567205i | ||||
\(502\) | 27.9180 | + | 8.19747i | 1.24604 | + | 0.365871i | ||||
\(503\) | −10.3682 | − | 22.7033i | −0.462296 | − | 1.01229i | −0.986958 | − | 0.160977i | \(-0.948535\pi\) |
0.524662 | − | 0.851311i | \(-0.324192\pi\) | |||||||
\(504\) | −0.391340 | + | 2.72183i | −0.0174317 | + | 0.121240i | ||||
\(505\) | −5.86003 | −0.260768 | ||||||||
\(506\) | −1.80940 | + | 1.41451i | −0.0804376 | + | 0.0628825i | ||||
\(507\) | 4.14417 | 0.184049 | ||||||||
\(508\) | −0.157812 | + | 1.09761i | −0.00700179 | + | 0.0486985i | ||||
\(509\) | 7.55792 | + | 16.5495i | 0.334999 | + | 0.733545i | 0.999911 | − | 0.0133767i | \(-0.00425805\pi\) |
−0.664912 | + | 0.746922i | \(0.731531\pi\) | |||||||
\(510\) | 2.59792 | + | 0.762819i | 0.115038 | + | 0.0337782i | ||||
\(511\) | −16.7181 | − | 19.2938i | −0.739567 | − | 0.853505i | ||||
\(512\) | 0.959493 | − | 0.281733i | 0.0424040 | − | 0.0124509i | ||||
\(513\) | 0.862362 | + | 0.554206i | 0.0380742 | + | 0.0244688i | ||||
\(514\) | 10.2462 | − | 22.4360i | 0.451939 | − | 0.989609i | ||||
\(515\) | 1.85955 | − | 2.14603i | 0.0819414 | − | 0.0945654i | ||||
\(516\) | 2.53163 | − | 1.62698i | 0.111449 | − | 0.0716238i | ||||
\(517\) | −0.207824 | − | 1.44545i | −0.00914009 | − | 0.0635707i | ||||
\(518\) | −0.241224 | − | 1.67775i | −0.0105988 | − | 0.0737162i | ||||
\(519\) | 10.9447 | − | 7.03372i | 0.480418 | − | 0.308746i | ||||
\(520\) | −2.71148 | + | 3.12922i | −0.118906 | + | 0.137225i | ||||
\(521\) | −10.4624 | + | 22.9094i | −0.458364 | + | 1.00368i | 0.529493 | + | 0.848314i | \(0.322382\pi\) |
−0.987857 | + | 0.155363i | \(0.950345\pi\) | |||||||
\(522\) | −2.81329 | − | 1.80799i | −0.123134 | − | 0.0791337i | ||||
\(523\) | 40.2560 | − | 11.8202i | 1.76027 | − | 0.516862i | 0.767946 | − | 0.640514i | \(-0.221279\pi\) |
0.992326 | + | 0.123652i | \(0.0394606\pi\) | |||||||
\(524\) | −1.40529 | − | 1.62179i | −0.0613902 | − | 0.0708481i | ||||
\(525\) | 2.63843 | + | 0.774713i | 0.115150 | + | 0.0338112i | ||||
\(526\) | −4.06887 | − | 8.90959i | −0.177411 | − | 0.388477i | ||||
\(527\) | −0.769304 | + | 5.35063i | −0.0335114 | + | 0.233077i | ||||
\(528\) | −0.478891 | −0.0208411 | ||||||||
\(529\) | 5.55120 | − | 22.3200i | 0.241357 | − | 0.970436i | ||||
\(530\) | 11.3972 | 0.495065 | ||||||||
\(531\) | 1.46275 | − | 10.1736i | 0.0634779 | − | 0.441499i | ||||
\(532\) | −1.17098 | − | 2.56408i | −0.0507683 | − | 0.111167i | ||||
\(533\) | 9.04408 | + | 2.65558i | 0.391743 | + | 0.115026i | ||||
\(534\) | 0.473145 | + | 0.546038i | 0.0204750 | + | 0.0236294i | ||||
\(535\) | 13.8880 | − | 4.07788i | 0.600429 | − | 0.176302i | ||||
\(536\) | 0.649744 | + | 0.417565i | 0.0280647 | + | 0.0180361i | ||||
\(537\) | 4.03857 | − | 8.84324i | 0.174277 | − | 0.381614i | ||||
\(538\) | −10.1705 | + | 11.7373i | −0.438480 | + | 0.506032i | ||||
\(539\) | −0.226206 | + | 0.145374i | −0.00974339 | + | 0.00626170i | ||||
\(540\) | −0.142315 | − | 0.989821i | −0.00612426 | − | 0.0425951i | ||||
\(541\) | 0.247850 | + | 1.72383i | 0.0106559 | + | 0.0741134i | 0.994455 | − | 0.105158i | \(-0.0335349\pi\) |
−0.983800 | + | 0.179272i | \(0.942626\pi\) | |||||||
\(542\) | 23.5657 | − | 15.1448i | 1.01223 | − | 0.650523i | ||||
\(543\) | −1.29813 | + | 1.49812i | −0.0557080 | + | 0.0642905i | ||||
\(544\) | −1.12478 | + | 2.46292i | −0.0482244 | + | 0.105597i | ||||
\(545\) | −8.57574 | − | 5.51130i | −0.367345 | − | 0.236078i | ||||
\(546\) | 10.9246 | − | 3.20774i | 0.467528 | − | 0.137279i | ||||
\(547\) | 18.3367 | + | 21.1617i | 0.784022 | + | 0.904810i | 0.997393 | − | 0.0721617i | \(-0.0229898\pi\) |
−0.213371 | + | 0.976971i | \(0.568444\pi\) | |||||||
\(548\) | −10.2278 | − | 3.00315i | −0.436909 | − | 0.128288i | ||||
\(549\) | 4.15426 | + | 9.09656i | 0.177300 | + | 0.388232i | ||||
\(550\) | −0.0681534 | + | 0.474017i | −0.00290607 | + | 0.0202122i | ||||
\(551\) | 3.42808 | 0.146041 | ||||||||
\(552\) | 3.77831 | − | 2.95371i | 0.160815 | − | 0.125718i | ||||
\(553\) | −20.1305 | −0.856034 | ||||||||
\(554\) | −2.63852 | + | 18.3513i | −0.112100 | + | 0.779674i | ||||
\(555\) | 0.256064 | + | 0.560703i | 0.0108693 | + | 0.0238005i | ||||
\(556\) | −0.997579 | − | 0.292916i | −0.0423068 | − | 0.0124224i | ||||
\(557\) | 26.7164 | + | 30.8324i | 1.13201 | + | 1.30641i | 0.946111 | + | 0.323842i | \(0.104975\pi\) |
0.185900 | + | 0.982569i | \(0.440480\pi\) | |||||||
\(558\) | 1.91560 | − | 0.562472i | 0.0810939 | − | 0.0238113i | ||||
\(559\) | −10.4823 | − | 6.73659i | −0.443356 | − | 0.284928i | ||||
\(560\) | −1.14231 | + | 2.50132i | −0.0482716 | + | 0.105700i | ||||
\(561\) | 0.849122 | − | 0.979940i | 0.0358500 | − | 0.0413731i | ||||
\(562\) | 23.8195 | − | 15.3079i | 1.00477 | − | 0.645724i | ||||
\(563\) | −1.99103 | − | 13.8479i | −0.0839119 | − | 0.583620i | −0.987785 | − | 0.155820i | \(-0.950198\pi\) |
0.903874 | − | 0.427800i | \(-0.140711\pi\) | |||||||
\(564\) | 0.433969 | + | 3.01832i | 0.0182734 | + | 0.127094i | ||||
\(565\) | −8.23908 | + | 5.29493i | −0.346621 | + | 0.222760i | ||||
\(566\) | −5.91475 | + | 6.82598i | −0.248615 | + | 0.286918i | ||||
\(567\) | −1.14231 | + | 2.50132i | −0.0479727 | + | 0.105046i | ||||
\(568\) | −6.87915 | − | 4.42096i | −0.288643 | − | 0.185499i | ||||
\(569\) | −0.247496 | + | 0.0726713i | −0.0103756 | + | 0.00304654i | −0.286916 | − | 0.957956i | \(-0.592630\pi\) |
0.276541 | + | 0.961002i | \(0.410812\pi\) | |||||||
\(570\) | 0.671292 | + | 0.774713i | 0.0281173 | + | 0.0324491i | ||||
\(571\) | −6.43240 | − | 1.88872i | −0.269187 | − | 0.0790406i | 0.144353 | − | 0.989526i | \(-0.453890\pi\) |
−0.413541 | + | 0.910486i | \(0.635708\pi\) | |||||||
\(572\) | 0.823716 | + | 1.80369i | 0.0344413 | + | 0.0754159i | ||||
\(573\) | 1.19923 | − | 8.34085i | 0.0500987 | − | 0.348444i | ||||
\(574\) | 6.25991 | 0.261284 | ||||||||
\(575\) | −2.38594 | − | 4.16021i | −0.0995004 | − | 0.173493i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 3.65742 | − | 25.4379i | 0.152260 | − | 1.05899i | −0.760159 | − | 0.649738i | \(-0.774879\pi\) |
0.912419 | − | 0.409257i | \(-0.134212\pi\) | |||||||
\(578\) | 4.01661 | + | 8.79515i | 0.167069 | + | 0.365830i | ||||
\(579\) | −20.1466 | − | 5.91559i | −0.837266 | − | 0.245843i | ||||
\(580\) | −2.18996 | − | 2.52735i | −0.0909333 | − | 0.104943i | ||||
\(581\) | −9.95120 | + | 2.92193i | −0.412845 | + | 0.121222i | ||||
\(582\) | −4.36002 | − | 2.80202i | −0.180729 | − | 0.116147i | ||||
\(583\) | 2.26735 | − | 4.96481i | 0.0939042 | − | 0.205621i | ||||
\(584\) | −6.07973 | + | 7.01638i | −0.251581 | + | 0.290340i | ||||
\(585\) | −3.48325 | + | 2.23855i | −0.144015 | + | 0.0925527i | ||||
\(586\) | 2.61461 | + | 18.1850i | 0.108009 | + | 0.751216i | ||||
\(587\) | 1.86241 | + | 12.9533i | 0.0768698 | + | 0.534641i | 0.991475 | + | 0.130294i | \(0.0415921\pi\) |
−0.914606 | + | 0.404347i | \(0.867499\pi\) | |||||||
\(588\) | 0.472354 | − | 0.303563i | 0.0194795 | − | 0.0125187i | ||||
\(589\) | −1.34022 | + | 1.54669i | −0.0552227 | + | 0.0637304i | ||||
\(590\) | 4.26974 | − | 9.34944i | 0.175783 | − | 0.384910i | ||||
\(591\) | −21.6578 | − | 13.9186i | −0.890881 | − | 0.572535i | ||||
\(592\) | −0.591438 | + | 0.173662i | −0.0243079 | + | 0.00713745i | ||||
\(593\) | −13.8574 | − | 15.9923i | −0.569055 | − | 0.656724i | 0.396160 | − | 0.918181i | \(-0.370342\pi\) |
−0.965215 | + | 0.261457i | \(0.915797\pi\) | |||||||
\(594\) | −0.459493 | − | 0.134919i | −0.0188532 | − | 0.00553581i | ||||
\(595\) | −3.09293 | − | 6.77257i | −0.126798 | − | 0.277648i | ||||
\(596\) | −1.33978 | + | 9.31837i | −0.0548795 | + | 0.381695i | ||||
\(597\) | 20.1801 | 0.825917 | ||||||||
\(598\) | −17.6237 | − | 9.15001i | −0.720685 | − | 0.374172i | ||||
\(599\) | −15.3835 | −0.628555 | −0.314277 | − | 0.949331i | \(-0.601762\pi\) | ||||
−0.314277 | + | 0.949331i | \(0.601762\pi\) | |||||||
\(600\) | 0.142315 | − | 0.989821i | 0.00580998 | − | 0.0404093i | ||||
\(601\) | 4.64678 | + | 10.1750i | 0.189546 | + | 0.415048i | 0.980416 | − | 0.196936i | \(-0.0630990\pi\) |
−0.790870 | + | 0.611984i | \(0.790372\pi\) | |||||||
\(602\) | −7.93997 | − | 2.33138i | −0.323609 | − | 0.0950201i | ||||
\(603\) | 0.505783 | + | 0.583705i | 0.0205971 | + | 0.0237703i | ||||
\(604\) | 4.88764 | − | 1.43514i | 0.198875 | − | 0.0583951i | ||||
\(605\) | −9.06086 | − | 5.82306i | −0.368376 | − | 0.236741i | ||||
\(606\) | 2.43434 | − | 5.33047i | 0.0988884 | − | 0.216535i | ||||
\(607\) | 15.2471 | − | 17.5961i | 0.618862 | − | 0.714205i | −0.356628 | − | 0.934246i | \(-0.616074\pi\) |
0.975491 | + | 0.220041i | \(0.0706192\pi\) | |||||||
\(608\) | −0.862362 | + | 0.554206i | −0.0349734 | + | 0.0224760i | ||||
\(609\) | 1.30871 | + | 9.10224i | 0.0530314 | + | 0.368842i | ||||
\(610\) | 1.42319 | + | 9.89848i | 0.0576231 | + | 0.400778i | ||||
\(611\) | 10.6217 | − | 6.82615i | 0.429708 | − | 0.276156i | ||||
\(612\) | −1.77310 | + | 2.04627i | −0.0716733 | + | 0.0827154i | ||||
\(613\) | −18.1158 | + | 39.6682i | −0.731692 | + | 1.60218i | 0.0650637 | + | 0.997881i | \(0.479275\pi\) |
−0.796756 | + | 0.604301i | \(0.793452\pi\) | |||||||
\(614\) | 17.2626 | + | 11.0940i | 0.696663 | + | 0.447718i | ||||
\(615\) | −2.18427 | + | 0.641360i | −0.0880783 | + | 0.0258621i | ||||
\(616\) | 0.862362 | + | 0.995219i | 0.0347456 | + | 0.0400985i | ||||
\(617\) | 11.3199 | + | 3.32382i | 0.455721 | + | 0.133812i | 0.501533 | − | 0.865138i | \(-0.332769\pi\) |
−0.0458122 | + | 0.998950i | \(0.514588\pi\) | |||||||
\(618\) | 1.17961 | + | 2.58300i | 0.0474511 | + | 0.103903i | ||||
\(619\) | −1.20858 | + | 8.40585i | −0.0485769 | + | 0.337860i | 0.951011 | + | 0.309157i | \(0.100047\pi\) |
−0.999588 | + | 0.0287030i | \(0.990862\pi\) | |||||||
\(620\) | 1.99647 | 0.0801803 | ||||||||
\(621\) | 4.45741 | − | 1.76959i | 0.178870 | − | 0.0710112i | ||||
\(622\) | 26.2491 | 1.05249 | ||||||||
\(623\) | 0.282748 | − | 1.96655i | 0.0113280 | − | 0.0787883i | ||||
\(624\) | −1.72005 | − | 3.76638i | −0.0688570 | − | 0.150776i | ||||
\(625\) | −0.959493 | − | 0.281733i | −0.0383797 | − | 0.0112693i | ||||
\(626\) | −11.4831 | − | 13.2522i | −0.458957 | − | 0.529665i | ||||
\(627\) | 0.471022 | − | 0.138305i | 0.0188108 | − | 0.00552336i | ||||
\(628\) | 10.1244 | + | 6.50654i | 0.404007 | + | 0.259639i | ||||
\(629\) | 0.693320 | − | 1.51816i | 0.0276445 | − | 0.0605329i | ||||
\(630\) | −1.80075 | + | 2.07817i | −0.0717435 | + | 0.0827964i | ||||
\(631\) | 6.36297 | − | 4.08923i | 0.253306 | − | 0.162790i | −0.407826 | − | 0.913060i | \(-0.633713\pi\) |
0.661132 | + | 0.750270i | \(0.270077\pi\) | |||||||
\(632\) | 1.04184 | + | 7.24614i | 0.0414421 | + | 0.288236i | ||||
\(633\) | 3.00568 | + | 20.9049i | 0.119465 | + | 0.830896i | ||||
\(634\) | −3.47006 | + | 2.23007i | −0.137814 | + | 0.0885675i | ||||
\(635\) | −0.726173 | + | 0.838048i | −0.0288173 | + | 0.0332569i | ||||
\(636\) | −4.73459 | + | 10.3673i | −0.187739 | + | 0.411090i | ||||
\(637\) | −1.95580 | − | 1.25692i | −0.0774918 | − | 0.0498010i | ||||
\(638\) | −1.53662 | + | 0.451193i | −0.0608354 | + | 0.0178629i | ||||
\(639\) | −5.35497 | − | 6.17996i | −0.211839 | − | 0.244476i | ||||
\(640\) | 0.959493 | + | 0.281733i | 0.0379273 | + | 0.0111365i | ||||
\(641\) | −10.6262 | − | 23.2681i | −0.419708 | − | 0.919033i | −0.994886 | − | 0.101004i | \(-0.967794\pi\) |
0.575178 | − | 0.818028i | \(-0.304933\pi\) | |||||||
\(642\) | −2.05991 | + | 14.3270i | −0.0812980 | + | 0.565440i | ||||
\(643\) | 17.0930 | 0.674081 | 0.337041 | − | 0.941490i | \(-0.390574\pi\) | ||||
0.337041 | + | 0.941490i | \(0.390574\pi\) | |||||||
\(644\) | −12.9421 | − | 2.53309i | −0.509990 | − | 0.0998178i | ||||
\(645\) | 3.00935 | 0.118493 | ||||||||
\(646\) | 0.395000 | − | 2.74729i | 0.0155411 | − | 0.108091i | ||||
\(647\) | −3.74104 | − | 8.19174i | −0.147076 | − | 0.322051i | 0.821728 | − | 0.569880i | \(-0.193010\pi\) |
−0.968804 | + | 0.247829i | \(0.920283\pi\) | |||||||
\(648\) | 0.959493 | + | 0.281733i | 0.0376924 | + | 0.0110675i | ||||
\(649\) | −3.22334 | − | 3.71993i | −0.126527 | − | 0.146020i | ||||
\(650\) | −3.97283 | + | 1.16653i | −0.155827 | + | 0.0457550i | ||||
\(651\) | −4.61843 | − | 2.96808i | −0.181010 | − | 0.116328i | ||||
\(652\) | 3.37972 | − | 7.40055i | 0.132360 | − | 0.289828i | ||||
\(653\) | −30.7568 | + | 35.4952i | −1.20361 | + | 1.38903i | −0.303804 | + | 0.952735i | \(0.598257\pi\) |
−0.899801 | + | 0.436300i | \(0.856289\pi\) | |||||||
\(654\) | 8.57574 | − | 5.51130i | 0.335338 | − | 0.215509i | ||||
\(655\) | −0.305398 | − | 2.12409i | −0.0119329 | − | 0.0829950i | ||||
\(656\) | −0.323977 | − | 2.25331i | −0.0126492 | − | 0.0879771i | ||||
\(657\) | −7.81020 | + | 5.01931i | −0.304705 | + | 0.195822i | ||||
\(658\) | 5.49112 | − | 6.33709i | 0.214066 | − | 0.247046i | ||||
\(659\) | −5.24618 | + | 11.4875i | −0.204362 | + | 0.447490i | −0.983866 | − | 0.178907i | \(-0.942744\pi\) |
0.779504 | + | 0.626397i | \(0.215471\pi\) | |||||||
\(660\) | −0.402869 | − | 0.258908i | −0.0156817 | − | 0.0100780i | ||||
\(661\) | 41.4869 | − | 12.1817i | 1.61365 | − | 0.473812i | 0.654352 | − | 0.756190i | \(-0.272942\pi\) |
0.959303 | + | 0.282378i | \(0.0911234\pi\) | |||||||
\(662\) | 11.4539 | + | 13.2185i | 0.445167 | + | 0.513750i | ||||
\(663\) | 10.7568 | + | 3.15849i | 0.417761 | + | 0.122666i | ||||
\(664\) | 1.56679 | + | 3.43080i | 0.0608034 | + | 0.133141i | ||||
\(665\) | 0.401159 | − | 2.79012i | 0.0155563 | − | 0.108196i | ||||
\(666\) | −0.616406 | −0.0238853 | ||||||||
\(667\) | 9.34060 | − | 13.0374i | 0.361670 | − | 0.504808i | ||||
\(668\) | 16.7989 | 0.649970 | ||||||||
\(669\) | 3.52092 | − | 24.4885i | 0.136127 | − | 0.946782i | ||||
\(670\) | 0.320847 | + | 0.702556i | 0.0123954 | + | 0.0271421i | ||||
\(671\) | 4.59505 | + | 1.34923i | 0.177390 | + | 0.0520864i | ||||
\(672\) | −1.80075 | − | 2.07817i | −0.0694653 | − | 0.0801672i | ||||
\(673\) | 37.2523 | − | 10.9383i | 1.43597 | − | 0.421639i | 0.531094 | − | 0.847313i | \(-0.321781\pi\) |
0.904877 | + | 0.425674i | \(0.139963\pi\) | |||||||
\(674\) | 29.7751 | + | 19.1353i | 1.14689 | + | 0.737063i | ||||
\(675\) | 0.415415 | − | 0.909632i | 0.0159893 | − | 0.0350118i | ||||
\(676\) | −2.71385 | + | 3.13195i | −0.104379 | + | 0.120460i | ||||
\(677\) | 31.5756 | − | 20.2924i | 1.21355 | − | 0.779901i | 0.232300 | − | 0.972644i | \(-0.425375\pi\) |
0.981249 | + | 0.192743i | \(0.0617385\pi\) | |||||||
\(678\) | −1.39380 | − | 9.69412i | −0.0535287 | − | 0.372301i | ||||
\(679\) | 2.02822 | + | 14.1066i | 0.0778360 | + | 0.541362i | ||||
\(680\) | −2.27778 | + | 1.46384i | −0.0873488 | + | 0.0561356i | ||||
\(681\) | −3.01015 | + | 3.47389i | −0.115349 | + | 0.133120i | ||||
\(682\) | 0.397176 | − | 0.869694i | 0.0152086 | − | 0.0333023i | ||||
\(683\) | −25.0066 | − | 16.0708i | −0.956851 | − | 0.614931i | −0.0337260 | − | 0.999431i | \(-0.510737\pi\) |
−0.923125 | + | 0.384500i | \(0.874374\pi\) | |||||||
\(684\) | −0.983568 | + | 0.288802i | −0.0376077 | + | 0.0110426i | ||||
\(685\) | −6.98053 | − | 8.05596i | −0.266712 | − | 0.307803i | ||||
\(686\) | 16.9876 | + | 4.98800i | 0.648588 | + | 0.190443i | ||||
\(687\) | 2.38990 | + | 5.23316i | 0.0911805 | + | 0.199657i | ||||
\(688\) | −0.428276 | + | 2.97872i | −0.0163279 | + | 0.113563i | ||||
\(689\) | 47.1909 | 1.79783 | ||||||||
\(690\) | 4.77541 | − | 0.442111i | 0.181797 | − | 0.0168309i | ||||
\(691\) | −44.7642 | −1.70291 | −0.851456 | − | 0.524427i | \(-0.824280\pi\) | ||||
−0.851456 | + | 0.524427i | \(0.824280\pi\) | |||||||
\(692\) | −1.85151 | + | 12.8775i | −0.0703839 | + | 0.489531i | ||||
\(693\) | 0.547045 | + | 1.19786i | 0.0207805 | + | 0.0455030i | ||||
\(694\) | 29.6852 | + | 8.71635i | 1.12683 | + | 0.330868i | ||||
\(695\) | −0.680855 | − | 0.785748i | −0.0258263 | − | 0.0298051i | ||||
\(696\) | 3.20870 | − | 0.942161i | 0.121626 | − | 0.0357125i | ||||
\(697\) | 5.18532 | + | 3.33240i | 0.196408 | + | 0.126224i | ||||
\(698\) | −1.03172 | + | 2.25916i | −0.0390512 | + | 0.0855103i | ||||
\(699\) | 12.0060 | − | 13.8557i | 0.454110 | − | 0.524071i | ||||
\(700\) | −2.31329 | + | 1.48666i | −0.0874342 | + | 0.0561906i | ||||
\(701\) | −5.81815 | − | 40.4661i | −0.219748 | − | 1.52838i | −0.738967 | − | 0.673742i | \(-0.764686\pi\) |
0.519218 | − | 0.854642i | \(-0.326223\pi\) | |||||||
\(702\) | −0.589262 | − | 4.09841i | −0.0222403 | − | 0.154684i | ||||
\(703\) | 0.531565 | − | 0.341616i | 0.0200484 | − | 0.0128843i | ||||
\(704\) | 0.313607 | − | 0.361922i | 0.0118195 | − | 0.0136404i | ||||
\(705\) | −1.26675 | + | 2.77379i | −0.0477085 | + | 0.104467i | ||||
\(706\) | −9.36521 | − | 6.01866i | −0.352464 | − | 0.226515i | ||||
\(707\) | −15.4613 | + | 4.53984i | −0.581481 | + | 0.170738i | ||||
\(708\) | 6.73083 | + | 7.76779i | 0.252960 | + | 0.291931i | ||||
\(709\) | −4.32715 | − | 1.27057i | −0.162509 | − | 0.0477171i | 0.199466 | − | 0.979905i | \(-0.436079\pi\) |
−0.361975 | + | 0.932188i | \(0.617898\pi\) | |||||||
\(710\) | −3.39696 | − | 7.43830i | −0.127486 | − | 0.279154i | ||||
\(711\) | −1.04184 | + | 7.24614i | −0.0390720 | + | 0.271752i | ||||
\(712\) | −0.722512 | −0.0270773 | ||||||||
\(713\) | 2.23051 | + | 9.31132i | 0.0835331 | + | 0.348712i | ||||
\(714\) | 7.44540 | 0.278637 | ||||||||
\(715\) | −0.282192 | + | 1.96269i | −0.0105534 | + | 0.0734005i | ||||
\(716\) | 4.03857 | + | 8.84324i | 0.150929 | + | 0.330487i | ||||
\(717\) | −2.21435 | − | 0.650193i | −0.0826966 | − | 0.0242819i | ||||
\(718\) | 18.2965 | + | 21.1153i | 0.682818 | + | 0.788014i | ||||
\(719\) | 5.21066 | − | 1.52999i | 0.194325 | − | 0.0570589i | −0.183122 | − | 0.983090i | \(-0.558620\pi\) |
0.377447 | + | 0.926031i | \(0.376802\pi\) | |||||||
\(720\) | 0.841254 | + | 0.540641i | 0.0313517 | + | 0.0201485i | ||||
\(721\) | 3.24372 | − | 7.10276i | 0.120803 | − | 0.264521i | ||||
\(722\) | −11.7542 | + | 13.5651i | −0.437447 | + | 0.504840i | ||||
\(723\) | 16.7020 | − | 10.7337i | 0.621153 | − | 0.399191i | ||||
\(724\) | −0.282110 | − | 1.96212i | −0.0104845 | − | 0.0729216i | ||||
\(725\) | −0.475925 | − | 3.31013i | −0.0176754 | − | 0.122935i | ||||
\(726\) | 9.06086 | − | 5.82306i | 0.336280 | − | 0.216114i | ||||
\(727\) | 14.8591 | − | 17.1483i | 0.551093 | − | 0.635996i | −0.410044 | − | 0.912066i | \(-0.634487\pi\) |
0.961138 | + | 0.276070i | \(0.0890322\pi\) | |||||||
\(728\) | −4.72981 | + | 10.3568i | −0.175299 | + | 0.383850i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | −8.90793 | + | 2.61561i | −0.329697 | + | 0.0968079i | ||||
\(731\) | −5.33589 | − | 6.15794i | −0.197355 | − | 0.227760i | ||||
\(732\) | −9.59519 | − | 2.81740i | −0.354648 | − | 0.104134i | ||||
\(733\) | 11.3439 | + | 24.8396i | 0.418995 | + | 0.917471i | 0.994986 | + | 0.100015i | \(0.0318890\pi\) |
−0.575991 | + | 0.817456i | \(0.695384\pi\) | |||||||
\(734\) | 0.617914 | − | 4.29768i | 0.0228076 | − | 0.158630i | ||||
\(735\) | 0.561488 | 0.0207108 | ||||||||
\(736\) | −0.242000 | + | 4.78972i | −0.00892025 | + | 0.176551i | ||||
\(737\) | 0.369873 | 0.0136244 | ||||||||
\(738\) | 0.323977 | − | 2.25331i | 0.0119258 | − | 0.0829456i | ||||
\(739\) | 7.79551 | + | 17.0698i | 0.286762 | + | 0.627922i | 0.997113 | − | 0.0759254i | \(-0.0241911\pi\) |
−0.710351 | + | 0.703848i | \(0.751464\pi\) | |||||||
\(740\) | −0.591438 | − | 0.173662i | −0.0217417 | − | 0.00638393i | ||||
\(741\) | 2.77952 | + | 3.20774i | 0.102108 | + | 0.117839i | ||||
\(742\) | 30.0708 | − | 8.82959i | 1.10393 | − | 0.324145i | ||||
\(743\) | −25.4800 | − | 16.3750i | −0.934771 | − | 0.600741i | −0.0178635 | − | 0.999840i | \(-0.505686\pi\) |
−0.916908 | + | 0.399099i | \(0.869323\pi\) | |||||||
\(744\) | −0.829365 | + | 1.81606i | −0.0304060 | + | 0.0665798i | ||||
\(745\) | −6.16499 | + | 7.11477i | −0.225868 | + | 0.260665i | ||||
\(746\) | 9.56729 | − | 6.14852i | 0.350283 | − | 0.225113i | ||||
\(747\) | 0.536760 | + | 3.73325i | 0.0196390 | + | 0.136592i | ||||
\(748\) | 0.184532 | + | 1.28345i | 0.00674716 | + | 0.0469275i | ||||
\(749\) | 33.4833 | − | 21.5184i | 1.22345 | − | 0.786264i | ||||
\(750\) | 0.654861 | − | 0.755750i | 0.0239121 | − | 0.0275961i | ||||
\(751\) | 0.663803 | − | 1.45353i | 0.0242225 | − | 0.0530399i | −0.897134 | − | 0.441758i | \(-0.854355\pi\) |
0.921357 | + | 0.388718i | \(0.127082\pi\) | |||||||
\(752\) | −2.56528 | − | 1.64861i | −0.0935463 | − | 0.0601185i | ||||
\(753\) | −27.9180 | + | 8.19747i | −1.01739 | + | 0.298732i | ||||
\(754\) | −9.06766 | − | 10.4646i | −0.330225 | − | 0.381100i | ||||
\(755\) | 4.88764 | + | 1.43514i | 0.177879 | + | 0.0522301i | ||||
\(756\) | −1.14231 | − | 2.50132i | −0.0415456 | − | 0.0909722i | ||||
\(757\) | 0.329965 | − | 2.29496i | 0.0119928 | − | 0.0834116i | −0.982946 | − | 0.183894i | \(-0.941130\pi\) |
0.994939 | + | 0.100483i | \(0.0320387\pi\) | |||||||
\(758\) | 14.0182 | 0.509163 | ||||||||
\(759\) | 0.757423 | − | 2.16819i | 0.0274927 | − | 0.0787004i | ||||
\(760\) | −1.02509 | −0.0371840 | ||||||||
\(761\) | 2.97955 | − | 20.7232i | 0.108008 | − | 0.751216i | −0.861782 | − | 0.507278i | \(-0.830652\pi\) |
0.969791 | − | 0.243938i | \(-0.0784392\pi\) | |||||||
\(762\) | −0.460652 | − | 1.00869i | −0.0166877 | − | 0.0365409i | ||||
\(763\) | −26.8962 | − | 7.89743i | −0.973706 | − | 0.285906i | ||||
\(764\) | 5.51827 | + | 6.36842i | 0.199644 | + | 0.230401i | ||||
\(765\) | −2.59792 | + | 0.762819i | −0.0939281 | + | 0.0275798i | ||||
\(766\) | −3.83915 | − | 2.46727i | −0.138714 | − | 0.0891462i | ||||
\(767\) | 17.6791 | − | 38.7118i | 0.638355 | − | 1.39780i | ||||
\(768\) | −0.654861 | + | 0.755750i | −0.0236303 | + | 0.0272708i | ||||
\(769\) | 14.8879 | − | 9.56790i | 0.536873 | − | 0.345027i | −0.243942 | − | 0.969790i | \(-0.578441\pi\) |
0.780815 | + | 0.624763i | \(0.214804\pi\) | |||||||
\(770\) | 0.187409 | + | 1.30346i | 0.00675376 | + | 0.0469734i | ||||
\(771\) | 3.51018 | + | 24.4139i | 0.126416 | + | 0.879244i | ||||
\(772\) | 17.6639 | − | 11.3519i | 0.635739 | − | 0.408565i | ||||
\(773\) | 1.42947 | − | 1.64970i | 0.0514145 | − | 0.0593354i | −0.729460 | − | 0.684024i | \(-0.760228\pi\) |
0.780874 | + | 0.624688i | \(0.214774\pi\) | |||||||
\(774\) | −1.25013 | + | 2.73740i | −0.0449350 | + | 0.0983940i | ||||
\(775\) | 1.67954 | + | 1.07937i | 0.0603309 | + | 0.0387723i | ||||
\(776\) | 4.97283 | − | 1.46015i | 0.178514 | − | 0.0524165i | ||||
\(777\) | 1.10999 | + | 1.28100i | 0.0398207 | + | 0.0459556i | ||||
\(778\) | −5.35976 | − | 1.57377i | −0.192157 | − | 0.0564223i | ||||
\(779\) | 0.969415 | + | 2.12272i | 0.0347329 | + | 0.0760544i | ||||
\(780\) | 0.589262 | − | 4.09841i | 0.0210990 | − | 0.146746i | ||||
\(781\) | −3.91602 | −0.140126 | ||||||||
\(782\) | −9.37196 | − | 8.98785i | −0.335141 | − | 0.321405i | ||||
\(783\) | 3.34417 | 0.119511 | ||||||||
\(784\) | −0.0799081 | + | 0.555773i | −0.00285386 | + | 0.0198490i | ||||
\(785\) | 4.99947 | + | 10.9473i | 0.178439 | + | 0.390726i | ||||
\(786\) | 2.05901 | + | 0.604579i | 0.0734423 | + | 0.0215646i | ||||
\(787\) | −29.1297 | − | 33.6175i | −1.03836 | − | 1.19833i | −0.979786 | − | 0.200050i | \(-0.935890\pi\) |
−0.0585758 | − | 0.998283i | \(-0.518656\pi\) | |||||||
\(788\) | 24.7018 | − | 7.25310i | 0.879965 | − | 0.258381i | ||||
\(789\) | 8.23984 | + | 5.29542i | 0.293346 | + | 0.188522i | ||||
\(790\) | −3.04111 | + | 6.65910i | −0.108198 | + | 0.236920i | ||||
\(791\) | −17.6362 | + | 20.3532i | −0.627070 | + | 0.723677i | ||||
\(792\) | 0.402869 | − | 0.258908i | 0.0143153 | − | 0.00919990i | ||||
\(793\) | 5.89278 | + | 40.9852i | 0.209259 | + | 1.45543i | ||||
\(794\) | −0.709216 | − | 4.93270i | −0.0251691 | − | 0.175055i | ||||
\(795\) | −9.58797 | + | 6.16182i | −0.340050 | + | 0.218537i | ||||
\(796\) | −13.2152 | + | 15.2511i | −0.468399 | + | 0.540562i | ||||
\(797\) | −4.66970 | + | 10.2252i | −0.165409 | + | 0.362196i | −0.974127 | − | 0.226001i | \(-0.927435\pi\) |
0.808718 | + | 0.588197i | \(0.200162\pi\) | |||||||
\(798\) | 2.37134 | + | 1.52397i | 0.0839444 | + | 0.0539478i | ||||
\(799\) | 7.92200 | − | 2.32611i | 0.280260 | − | 0.0822918i | ||||
\(800\) | 0.654861 | + | 0.755750i | 0.0231528 | + | 0.0267198i | ||||
\(801\) | −0.693245 | − | 0.203555i | −0.0244946 | − | 0.00719227i | ||||
\(802\) | 1.12603 | + | 2.46567i | 0.0397616 | + | 0.0870658i | ||||
\(803\) | −0.632736 | + | 4.40077i | −0.0223288 | + | 0.155300i | ||||
\(804\) | −0.772352 | −0.0272388 | ||||||||
\(805\) | −9.51809 | − | 9.12799i | −0.335468 | − | 0.321719i | ||||
\(806\) | 8.26650 | 0.291175 | ||||||||
\(807\) | 2.21025 | − | 15.3726i | 0.0778046 | − | 0.541143i | ||||
\(808\) | 2.43434 | + | 5.33047i | 0.0856399 | + | 0.187525i | ||||
\(809\) | 23.5124 | + | 6.90386i | 0.826652 | + | 0.242727i | 0.667578 | − | 0.744540i | \(-0.267331\pi\) |
0.159074 | + | 0.987267i | \(0.449149\pi\) | |||||||
\(810\) | 0.654861 | + | 0.755750i | 0.0230095 | + | 0.0265543i | ||||
\(811\) | −34.1831 | + | 10.0371i | −1.20033 | + | 0.352449i | −0.819980 | − | 0.572393i | \(-0.806015\pi\) |
−0.380352 | + | 0.924842i | \(0.624197\pi\) | |||||||
\(812\) | −7.73604 | − | 4.97165i | −0.271482 | − | 0.174471i | ||||
\(813\) | −11.6369 | + | 25.4812i | −0.408122 | + | 0.893663i | ||||
\(814\) | −0.193309 | + | 0.223091i | −0.00677549 | + | 0.00781934i | ||||
\(815\) | 6.84424 | − | 4.39853i | 0.239743 | − | 0.154074i | ||||
\(816\) | −0.385331 | − | 2.68004i | −0.0134893 | − | 0.0938201i | ||||
\(817\) | −0.439022 | − | 3.05346i | −0.0153594 | − | 0.106827i | ||||
\(818\) | −26.6861 | + | 17.1501i | −0.933058 | + | 0.599640i | ||||
\(819\) | −7.45608 | + | 8.60478i | −0.260537 | + | 0.300675i | ||||
\(820\) | 0.945686 | − | 2.07076i | 0.0330248 | − | 0.0723142i | ||||
\(821\) | 12.8237 | + | 8.24128i | 0.447550 | + | 0.287623i | 0.744938 | − | 0.667134i | \(-0.232479\pi\) |
−0.297388 | + | 0.954757i | \(0.596116\pi\) | |||||||
\(822\) | 10.2278 | − | 3.00315i | 0.356735 | − | 0.104747i | ||||
\(823\) | 10.1041 | + | 11.6607i | 0.352207 | + | 0.406468i | 0.904014 | − | 0.427504i | \(-0.140607\pi\) |
−0.551807 | + | 0.833972i | \(0.686061\pi\) | |||||||
\(824\) | −2.72458 | − | 0.800009i | −0.0949153 | − | 0.0278696i | ||||
\(825\) | −0.198939 | − | 0.435615i | −0.00692616 | − | 0.0151662i | ||||
\(826\) | 4.02229 | − | 27.9756i | 0.139953 | − | 0.973397i | ||||
\(827\) | 23.2847 | 0.809689 | 0.404845 | − | 0.914385i | \(-0.367326\pi\) | ||||
0.404845 | + | 0.914385i | \(0.367326\pi\) | |||||||
\(828\) | −1.58162 | + | 4.52753i | −0.0549650 | + | 0.157342i | ||||
\(829\) | −13.4992 | −0.468845 | −0.234423 | − | 0.972135i | \(-0.575320\pi\) | ||||
−0.234423 | + | 0.972135i | \(0.575320\pi\) | |||||||
\(830\) | −0.536760 | + | 3.73325i | −0.0186312 | + | 0.129583i | ||||
\(831\) | −7.70182 | − | 16.8646i | −0.267173 | − | 0.585027i | ||||
\(832\) | 3.97283 | + | 1.16653i | 0.137733 | + | 0.0404421i | ||||
\(833\) | −0.995574 | − | 1.14895i | −0.0344946 | − | 0.0398089i | ||||
\(834\) | 0.997579 | − | 0.292916i | 0.0345433 | − | 0.0101428i | ||||
\(835\) | 14.1322 | + | 9.08218i | 0.489063 | + | 0.314302i | ||||
\(836\) | −0.203930 | + | 0.446545i | −0.00705308 | + | 0.0154441i | ||||
\(837\) | −1.30741 | + | 1.50883i | −0.0451908 | + | 0.0521529i | ||||
\(838\) | 5.66082 | − | 3.63799i | 0.195550 | − | 0.125672i | ||||
\(839\) | −3.91726 | − | 27.2451i | −0.135239 | − | 0.940606i | −0.938574 | − | 0.345079i | \(-0.887852\pi\) |
0.803335 | − | 0.595527i | \(-0.203057\pi\) | |||||||
\(840\) | −0.391340 | − | 2.72183i | −0.0135025 | − | 0.0939119i | ||||
\(841\) | −14.9882 | + | 9.63235i | −0.516836 | + | 0.332150i | ||||
\(842\) | −21.2807 | + | 24.5592i | −0.733381 | + | 0.846367i | ||||
\(843\) | −11.7622 | + | 25.7556i | −0.405112 | + | 0.887071i | ||||
\(844\) | −17.7672 | − | 11.4183i | −0.611572 | − | 0.393033i | ||||
\(845\) | −3.97630 | + | 1.16755i | −0.136789 | + | 0.0401648i | ||||
\(846\) | −1.99691 | − | 2.30455i | −0.0686550 | − | 0.0792321i | ||||
\(847\) | −28.4176 | − | 8.34417i | −0.976441 | − | 0.286709i | ||||
\(848\) | −4.73459 | − | 10.3673i | −0.162586 | − | 0.356015i | ||||
\(849\) | 1.28540 | − | 8.94014i | 0.0441147 | − | 0.306825i | ||||
\(850\) | −2.70760 | −0.0928699 | ||||||||
\(851\) | 0.149170 | − | 2.95241i | 0.00511350 | − | 0.101207i | ||||
\(852\) | 8.17726 | 0.280148 | ||||||||
\(853\) | −0.741293 | + | 5.15580i | −0.0253814 | + | 0.176531i | −0.998569 | − | 0.0534822i | \(-0.982968\pi\) |
0.973187 | + | 0.230014i | \(0.0738771\pi\) | |||||||
\(854\) | 11.4235 | + | 25.0139i | 0.390903 | + | 0.855957i | ||||
\(855\) | −0.983568 | − | 0.288802i | −0.0336373 | − | 0.00987681i | ||||
\(856\) | −9.47864 | − | 10.9389i | −0.323973 | − | 0.373885i | ||||
\(857\) | 3.61233 | − | 1.06068i | 0.123395 | − | 0.0362320i | −0.219452 | − | 0.975623i | \(-0.570427\pi\) |
0.342847 | + | 0.939391i | \(0.388609\pi\) | |||||||
\(858\) | −1.66810 | − | 1.07202i | −0.0569480 | − | 0.0365983i | ||||
\(859\) | −15.5383 | + | 34.0242i | −0.530160 | + | 1.16089i | 0.435287 | + | 0.900292i | \(0.356647\pi\) |
−0.965448 | + | 0.260598i | \(0.916080\pi\) | |||||||
\(860\) | −1.97071 | + | 2.27432i | −0.0672006 | + | 0.0775536i | ||||
\(861\) | −5.26617 | + | 3.38436i | −0.179471 | + | 0.115339i | ||||
\(862\) | 2.53512 | + | 17.6322i | 0.0863467 | + | 0.600554i | ||||
\(863\) | −4.21422 | − | 29.3105i | −0.143454 | − | 0.997741i | −0.926639 | − | 0.375953i | \(-0.877315\pi\) |
0.783185 | − | 0.621789i | \(-0.213594\pi\) | |||||||
\(864\) | −0.841254 | + | 0.540641i | −0.0286200 | + | 0.0183930i | ||||
\(865\) | −8.51971 | + | 9.83227i | −0.289679 | + | 0.334307i | ||||
\(866\) | −3.55594 | + | 7.78643i | −0.120836 | + | 0.264594i | ||||
\(867\) | −8.13400 | − | 5.22741i | −0.276245 | − | 0.177532i | ||||
\(868\) | 5.26755 | − | 1.54669i | 0.178792 | − | 0.0524982i | ||||
\(869\) | 2.29581 | + | 2.64951i | 0.0778801 | + | 0.0898784i | ||||
\(870\) | 3.20870 | + | 0.942161i | 0.108785 | + | 0.0319422i | ||||
\(871\) | 1.32848 | + | 2.90897i | 0.0450139 | + | 0.0985667i | ||||
\(872\) | −1.45076 | + | 10.0902i | −0.0491289 | + | 0.341699i | ||||
\(873\) | 5.18277 | 0.175410 | ||||||||
\(874\) | −1.14526 | − | 4.78091i | −0.0387389 | − | 0.161717i | ||||
\(875\) | −2.74982 | −0.0929607 | ||||||||
\(876\) | 1.32125 | − | 9.18950i | 0.0446409 | − | 0.310485i | ||||
\(877\) | 13.1899 | + | 28.8818i | 0.445391 | + | 0.975269i | 0.990577 | + | 0.136955i | \(0.0437315\pi\) |
−0.545187 | + | 0.838315i | \(0.683541\pi\) | |||||||
\(878\) | 1.98407 | + | 0.582575i | 0.0669590 | + | 0.0196609i | ||||
\(879\) | −12.0311 | − | 13.8846i | −0.405799 | − | 0.468317i | ||||
\(880\) | 0.459493 | − | 0.134919i | 0.0154895 | − | 0.00454813i | ||||
\(881\) | −29.4045 | − | 18.8971i | −0.990663 | − | 0.636660i | −0.0583437 | − | 0.998297i | \(-0.518582\pi\) |
−0.932319 | + | 0.361636i | \(0.882218\pi\) | |||||||
\(882\) | −0.233250 | + | 0.510747i | −0.00785395 | + | 0.0171978i | ||||
\(883\) | −0.853635 | + | 0.985147i | −0.0287271 | + | 0.0331529i | −0.769931 | − | 0.638127i | \(-0.779710\pi\) |
0.741204 | + | 0.671280i | \(0.234255\pi\) | |||||||
\(884\) | −9.43125 | + | 6.06110i | −0.317207 | + | 0.203857i | ||||
\(885\) | 1.46275 | + | 10.1736i | 0.0491698 | + | 0.341983i | ||||
\(886\) | −4.04061 | − | 28.1031i | −0.135747 | − | 0.944142i | ||||
\(887\) | 18.9847 | − | 12.2007i | 0.637444 | − | 0.409661i | −0.181615 | − | 0.983370i | \(-0.558132\pi\) |
0.819059 | + | 0.573709i | \(0.194496\pi\) | |||||||
\(888\) | 0.403660 | − | 0.465849i | 0.0135460 | − | 0.0156329i | ||||
\(889\) | −1.26671 | + | 2.77371i | −0.0424841 | + | 0.0930271i | ||||
\(890\) | −0.607816 | − | 0.390620i | −0.0203740 | − | 0.0130936i | ||||
\(891\) | 0.459493 | − | 0.134919i | 0.0153936 | − | 0.00451997i | ||||
\(892\) | 16.2015 | + | 18.6975i | 0.542466 | + | 0.626039i | ||||
\(893\) | 2.99925 | + | 0.880660i | 0.100366 | + | 0.0294702i | ||||
\(894\) | −3.91080 | − | 8.56345i | −0.130797 | − | 0.286405i | ||||
\(895\) | −1.38355 | + | 9.62282i | −0.0462471 | + | 0.321655i | ||||
\(896\) | 2.74982 | 0.0918649 | ||||||||
\(897\) | 19.7728 | − | 1.83059i | 0.660196 | − | 0.0611215i | ||||
\(898\) | 1.82598 | 0.0609336 | ||||||||
\(899\) | −0.950171 | + | 6.60858i | −0.0316900 | + | 0.220409i | ||||
\(900\) | 0.415415 | + | 0.909632i | 0.0138472 | + | 0.0303211i | ||||
\(901\) | 29.6092 | + | 8.69403i | 0.986424 | + | 0.289640i | ||||
\(902\) | −0.713922 | − | 0.823910i | −0.0237710 | − | 0.0274332i | ||||
\(903\) | 7.93997 | − | 2.33138i | 0.264226 | − | 0.0775836i | ||||
\(904\) | 8.23908 | + | 5.29493i | 0.274028 | + | 0.176107i | ||||
\(905\) | 0.823476 | − | 1.80316i | 0.0273733 | − | 0.0599391i | ||||
\(906\) | −3.33585 | + | 3.84978i | −0.110826 | + | 0.127900i | ||||
\(907\) | −5.27996 | + | 3.39322i | −0.175318 | + | 0.112670i | −0.625357 | − | 0.780339i | \(-0.715047\pi\) |
0.450039 | + | 0.893009i | \(0.351410\pi\) | |||||||
\(908\) | −0.654167 | − | 4.54983i | −0.0217093 | − | 0.150991i | ||||
\(909\) | 0.833969 | + | 5.80038i | 0.0276610 | + | 0.192386i | ||||
\(910\) | −9.57831 | + | 6.15560i | −0.317518 | + | 0.204056i | ||||
\(911\) | −9.85414 | + | 11.3723i | −0.326482 | + | 0.376781i | −0.895134 | − | 0.445798i | \(-0.852920\pi\) |
0.568651 | + | 0.822579i | \(0.307465\pi\) | |||||||
\(912\) | 0.425839 | − | 0.932456i | 0.0141009 | − | 0.0308767i | ||||
\(913\) | 1.51948 | + | 0.976508i | 0.0502873 | + | 0.0323177i | ||||
\(914\) | −7.56257 | + | 2.22057i | −0.250147 | + | 0.0734499i | ||||
\(915\) | −6.54878 | − | 7.55770i | −0.216496 | − | 0.249850i | ||||
\(916\) | −5.52001 | − | 1.62082i | −0.182386 | − | 0.0535534i | ||||
\(917\) | −2.45133 | − | 5.36766i | −0.0809500 | − | 0.177256i | ||||
\(918\) | 0.385331 | − | 2.68004i | 0.0127178 | − | 0.0884545i | ||||
\(919\) | 47.7529 | 1.57522 | 0.787611 | − | 0.616173i | \(-0.211318\pi\) | ||||
0.787611 | + | 0.616173i | \(0.211318\pi\) | |||||||
\(920\) | −2.79310 | + | 3.89854i | −0.0920859 | + | 0.128531i | ||||
\(921\) | −20.5201 | −0.676162 | ||||||||
\(922\) | −2.83309 | + | 19.7045i | −0.0933027 | + | 0.648935i | ||||
\(923\) | −14.0653 | − | 30.7987i | −0.462964 | − | 1.01375i | ||||
\(924\) | −1.26352 | − | 0.371003i | −0.0415668 | − | 0.0122051i | ||||
\(925\) | −0.403660 | − | 0.465849i | −0.0132723 | − | 0.0153170i | ||||
\(926\) | −38.0313 | + | 11.1670i | −1.24978 | + | 0.366970i | ||||
\(927\) | −2.38883 | − | 1.53521i | −0.0784594 | − | 0.0504228i | ||||
\(928\) | −1.38922 | + | 3.04196i | −0.0456033 | + | 0.0998573i | ||||
\(929\) | 32.4507 | − | 37.4501i | 1.06467 | − | 1.22870i | 0.0921850 | − | 0.995742i | \(-0.470615\pi\) |
0.972487 | − | 0.232956i | \(-0.0748397\pi\) | |||||||
\(930\) | −1.67954 | + | 1.07937i | −0.0550743 | + | 0.0353941i | ||||
\(931\) | −0.0819131 | − | 0.569718i | −0.00268459 | − | 0.0186718i | ||||
\(932\) | 2.60916 | + | 18.1471i | 0.0854660 | + | 0.594429i | ||||
\(933\) | −22.0821 | + | 14.1913i | −0.722937 | + | 0.464603i | ||||
\(934\) | −6.23109 | + | 7.19107i | −0.203888 | + | 0.235299i | ||||
\(935\) | −0.538646 | + | 1.17947i | −0.0176156 | + | 0.0385728i | ||||
\(936\) | 3.48325 | + | 2.23855i | 0.113854 | + | 0.0731693i | ||||
\(937\) | −22.1988 | + | 6.51814i | −0.725202 | + | 0.212938i | −0.623441 | − | 0.781870i | \(-0.714266\pi\) |
−0.101761 | + | 0.994809i | \(0.532448\pi\) | |||||||
\(938\) | 1.39081 | + | 1.60508i | 0.0454116 | + | 0.0524077i | ||||
\(939\) | 16.8249 | + | 4.94023i | 0.549059 | + | 0.161218i | ||||
\(940\) | −1.26675 | − | 2.77379i | −0.0413168 | − | 0.0904712i | ||||
\(941\) | 3.76446 | − | 26.1824i | 0.122718 | − | 0.853521i | −0.831738 | − | 0.555168i | \(-0.812654\pi\) |
0.954456 | − | 0.298353i | \(-0.0964371\pi\) | |||||||
\(942\) | −12.0349 | −0.392117 | ||||||||
\(943\) | 10.7143 | + | 2.09706i | 0.348907 | + | 0.0682898i | ||||
\(944\) | −10.2783 | −0.334529 | ||||||||
\(945\) | 0.391340 | − | 2.72183i | 0.0127303 | − | 0.0885410i | ||||
\(946\) | 0.598677 | + | 1.31092i | 0.0194647 | + | 0.0426217i | ||||
\(947\) | 14.7926 | + | 4.34351i | 0.480696 | + | 0.141145i | 0.513098 | − | 0.858330i | \(-0.328498\pi\) |
−0.0324024 | + | 0.999475i | \(0.510316\pi\) | |||||||
\(948\) | −4.79401 | − | 5.53258i | −0.155702 | − | 0.179690i | ||||
\(949\) | −36.8838 | + | 10.8300i | −1.19730 | + | 0.351558i | ||||
\(950\) | −0.862362 | − | 0.554206i | −0.0279787 | − | 0.0179808i | ||||
\(951\) | 1.71353 | − | 3.75211i | 0.0555651 | − | 0.121671i | ||||
\(952\) | −4.87570 | + | 5.62686i | −0.158022 | + | 0.182367i | ||||
\(953\) | −12.0739 | + | 7.75943i | −0.391112 | + | 0.251353i | −0.721387 | − | 0.692532i | \(-0.756495\pi\) |
0.330275 | + | 0.943885i | \(0.392859\pi\) | |||||||
\(954\) | −1.62200 | − | 11.2812i | −0.0525141 | − | 0.365244i | ||||
\(955\) | 1.19923 | + | 8.34085i | 0.0388063 | + | 0.269904i | ||||
\(956\) | 1.94148 | − | 1.24771i | 0.0627918 | − | 0.0403539i | ||||
\(957\) | 1.04875 | − | 1.21033i | 0.0339014 | − | 0.0391243i | ||||
\(958\) | 11.3670 | − | 24.8904i | 0.367253 | − | 0.804171i | ||||
\(959\) | −24.6587 | − | 15.8472i | −0.796271 | − | 0.511732i | ||||
\(960\) | −0.959493 | + | 0.281733i | −0.0309675 | + | 0.00909288i | ||||
\(961\) | 17.6905 | + | 20.4159i | 0.570660 | + | 0.658577i | ||||
\(962\) | −2.44888 | − | 0.719055i | −0.0789550 | − | 0.0231833i | ||||
\(963\) | −6.01284 | − | 13.1663i | −0.193761 | − | 0.424277i | ||||
\(964\) | −2.82547 | + | 19.6516i | −0.0910023 | + | 0.632935i | ||||
\(965\) | 20.9972 | 0.675923 | ||||||||
\(966\) | 12.2571 | − | 4.86605i | 0.394365 | − | 0.156563i | ||||
\(967\) | 23.9515 | 0.770227 | 0.385114 | − | 0.922869i | \(-0.374162\pi\) | ||||
0.385114 | + | 0.922869i | \(0.374162\pi\) | |||||||
\(968\) | −1.53283 | + | 10.6610i | −0.0492669 | + | 0.342659i | ||||
\(969\) | 1.15300 | + | 2.52472i | 0.0370397 | + | 0.0811056i | ||||
\(970\) | 4.97283 | + | 1.46015i | 0.159668 | + | 0.0468827i | ||||
\(971\) | −25.8373 | − | 29.8178i | −0.829159 | − | 0.956900i | 0.170436 | − | 0.985369i | \(-0.445482\pi\) |
−0.999595 | + | 0.0284687i | \(0.990937\pi\) | |||||||
\(972\) | −0.959493 | + | 0.281733i | −0.0307758 | + | 0.00903658i | ||||
\(973\) | −2.40512 | − | 1.54567i | −0.0771045 | − | 0.0495521i | ||||
\(974\) | 0.334876 | − | 0.733276i | 0.0107301 | − | 0.0234957i | ||||
\(975\) | 2.71148 | − | 3.12922i | 0.0868370 | − | 0.100215i | ||||
\(976\) | 8.41276 | − | 5.40655i | 0.269286 | − | 0.173060i | ||||
\(977\) | −8.24423 | − | 57.3399i | −0.263756 | − | 1.83447i | −0.503940 | − | 0.863739i | \(-0.668117\pi\) |
0.240184 | − | 0.970727i | \(-0.422792\pi\) | |||||||
\(978\) | 1.15784 | + | 8.05296i | 0.0370236 | + | 0.257505i | ||||
\(979\) | −0.291078 | + | 0.187064i | −0.00930289 | + | 0.00597860i | ||||
\(980\) | −0.367696 | + | 0.424344i | −0.0117456 | + | 0.0135552i | ||||
\(981\) | −4.23474 | + | 9.27279i | −0.135205 | + | 0.296058i | ||||
\(982\) | −4.41676 | − | 2.83848i | −0.140944 | − | 0.0905795i | ||||
\(983\) | 0.0733842 | − | 0.0215475i | 0.00234059 | − | 0.000687260i | −0.280562 | − | 0.959836i | \(-0.590521\pi\) |
0.282903 | + | 0.959149i | \(0.408703\pi\) | |||||||
\(984\) | 1.49078 | + | 1.72045i | 0.0475243 | + | 0.0548460i | ||||
\(985\) | 24.7018 | + | 7.25310i | 0.787065 | + | 0.231103i | ||||
\(986\) | −3.76144 | − | 8.23641i | −0.119789 | − | 0.262301i | ||||
\(987\) | −1.19333 | + | 8.29983i | −0.0379843 | + | 0.264186i | ||||
\(988\) | −4.24445 | −0.135034 | ||||||||
\(989\) | −12.8089 | − | 6.65023i | −0.407299 | − | 0.211465i | ||||
\(990\) | 0.478891 | 0.0152202 | ||||||||
\(991\) | 4.27693 | − | 29.7467i | 0.135861 | − | 0.944935i | −0.801852 | − | 0.597523i | \(-0.796152\pi\) |
0.937713 | − | 0.347412i | \(-0.112939\pi\) | |||||||
\(992\) | −0.829365 | − | 1.81606i | −0.0263324 | − | 0.0576598i | ||||
\(993\) | −16.7820 | − | 4.92765i | −0.532562 | − | 0.156374i | ||||
\(994\) | −14.7252 | − | 16.9938i | −0.467054 | − | 0.539009i | ||||
\(995\) | −19.3627 | + | 5.68540i | −0.613838 | + | 0.180239i | ||||
\(996\) | −3.17290 | − | 2.03910i | −0.100537 | − | 0.0646114i | ||||
\(997\) | −14.3120 | + | 31.3389i | −0.453265 | + | 0.992513i | 0.535706 | + | 0.844405i | \(0.320046\pi\) |
−0.988971 | + | 0.148108i | \(0.952682\pi\) | |||||||
\(998\) | −21.0633 | + | 24.3084i | −0.666748 | + | 0.769468i | ||||
\(999\) | 0.518554 | − | 0.333254i | 0.0164063 | − | 0.0105437i |
(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 | 690.2.m.b.31.1 | ✓ | 10 | |
23.3 | even | 11 | inner | 690.2.m.b.601.1 | yes | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.b.31.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
690.2.m.b.601.1 | yes | 10 | 23.3 | even | 11 | inner |