Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 347.1 | ||
Character | \(\chi\) | \(=\) | 570.347 |
Dual form | 570.2.bi.a.23.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.422618 | + | 0.906308i | −0.298836 | + | 0.640856i | ||||
\(3\) | −1.61357 | + | 0.629597i | −0.931595 | + | 0.363498i | ||||
\(4\) | −0.642788 | − | 0.766044i | −0.321394 | − | 0.383022i | ||||
\(5\) | −1.65915 | + | 1.49907i | −0.741995 | + | 0.670405i | ||||
\(6\) | 0.111315 | − | 1.72847i | 0.0454444 | − | 0.705645i | ||||
\(7\) | 0.539376 | − | 2.01298i | 0.203865 | − | 0.760835i | −0.785927 | − | 0.618319i | \(-0.787814\pi\) |
0.989792 | − | 0.142516i | \(-0.0455193\pi\) | |||||||
\(8\) | 0.965926 | − | 0.258819i | 0.341506 | − | 0.0915064i | ||||
\(9\) | 2.20722 | − | 2.03180i | 0.735738 | − | 0.677266i | ||||
\(10\) | −0.657432 | − | 2.13724i | −0.207898 | − | 0.675854i | ||||
\(11\) | −3.78642 | − | 2.18609i | −1.14165 | − | 0.659131i | −0.194811 | − | 0.980841i | \(-0.562409\pi\) |
−0.946838 | + | 0.321709i | \(0.895743\pi\) | |||||||
\(12\) | 1.51948 | + | 0.831369i | 0.438637 | + | 0.239996i | ||||
\(13\) | 3.22662 | + | 2.25930i | 0.894903 | + | 0.626618i | 0.927896 | − | 0.372838i | \(-0.121615\pi\) |
−0.0329939 | + | 0.999456i | \(0.510504\pi\) | |||||||
\(14\) | 1.59643 | + | 1.33956i | 0.426664 | + | 0.358013i | ||||
\(15\) | 1.73335 | − | 3.46345i | 0.447548 | − | 0.894260i | ||||
\(16\) | −0.173648 | + | 0.984808i | −0.0434120 | + | 0.246202i | ||||
\(17\) | 2.50889 | − | 5.38034i | 0.608496 | − | 1.30492i | −0.324789 | − | 0.945786i | \(-0.605293\pi\) |
0.933285 | − | 0.359137i | \(-0.116929\pi\) | |||||||
\(18\) | 0.908624 | + | 2.85909i | 0.214165 | + | 0.673894i | ||||
\(19\) | −3.26610 | + | 2.88662i | −0.749295 | + | 0.662237i | ||||
\(20\) | 2.21484 | + | 0.307400i | 0.495253 | + | 0.0687367i | ||||
\(21\) | 0.397045 | + | 3.58767i | 0.0866423 | + | 0.782895i | ||||
\(22\) | 3.58148 | − | 2.50778i | 0.763575 | − | 0.534661i | ||||
\(23\) | 5.77215 | + | 0.504997i | 1.20358 | + | 0.105299i | 0.671244 | − | 0.741237i | \(-0.265760\pi\) |
0.532332 | + | 0.846536i | \(0.321316\pi\) | |||||||
\(24\) | −1.39564 | + | 1.02577i | −0.284883 | + | 0.209384i | ||||
\(25\) | 0.505571 | − | 4.97437i | 0.101114 | − | 0.994875i | ||||
\(26\) | −3.41125 | + | 1.96949i | −0.669001 | + | 0.386248i | ||||
\(27\) | −2.28228 | + | 4.66810i | −0.439226 | + | 0.898377i | ||||
\(28\) | −1.88874 | + | 0.880732i | −0.356938 | + | 0.166443i | ||||
\(29\) | 3.16019 | + | 1.15022i | 0.586833 | + | 0.213590i | 0.618336 | − | 0.785914i | \(-0.287807\pi\) |
−0.0315030 | + | 0.999504i | \(0.510029\pi\) | |||||||
\(30\) | 2.40641 | + | 3.03466i | 0.439348 | + | 0.554051i | ||||
\(31\) | 2.67789 | + | 4.63824i | 0.480963 | + | 0.833053i | 0.999761 | − | 0.0218437i | \(-0.00695362\pi\) |
−0.518798 | + | 0.854897i | \(0.673620\pi\) | |||||||
\(32\) | −0.819152 | − | 0.573576i | −0.144807 | − | 0.101395i | ||||
\(33\) | 7.48601 | + | 1.14349i | 1.30315 | + | 0.199056i | ||||
\(34\) | 3.81594 | + | 4.54766i | 0.654428 | + | 0.779917i | ||||
\(35\) | 2.12269 | + | 4.14840i | 0.358801 | + | 0.701208i | ||||
\(36\) | −2.97522 | − | 0.384811i | −0.495870 | − | 0.0641352i | ||||
\(37\) | 1.42632 | + | 1.42632i | 0.234485 | + | 0.234485i | 0.814562 | − | 0.580077i | \(-0.196977\pi\) |
−0.580077 | + | 0.814562i | \(0.696977\pi\) | |||||||
\(38\) | −1.23585 | − | 4.18003i | −0.200482 | − | 0.678091i | ||||
\(39\) | −6.62882 | − | 1.61407i | −1.06146 | − | 0.258458i | ||||
\(40\) | −1.21463 | + | 1.87741i | −0.192050 | + | 0.296845i | ||||
\(41\) | −2.40723 | − | 0.424459i | −0.375945 | − | 0.0662893i | −0.0175171 | − | 0.999847i | \(-0.505576\pi\) |
−0.358428 | + | 0.933557i | \(0.616687\pi\) | |||||||
\(42\) | −3.41934 | − | 1.15637i | −0.527615 | − | 0.178432i | ||||
\(43\) | 2.38153 | − | 0.208357i | 0.363179 | − | 0.0317741i | 0.0958941 | − | 0.995392i | \(-0.469429\pi\) |
0.267285 | + | 0.963617i | \(0.413873\pi\) | |||||||
\(44\) | 0.759222 | + | 4.30576i | 0.114457 | + | 0.649118i | ||||
\(45\) | −0.616297 | + | 6.67983i | −0.0918722 | + | 0.995771i | ||||
\(46\) | −2.89710 | + | 5.01792i | −0.427154 | + | 0.739852i | ||||
\(47\) | 2.85220 | − | 1.33000i | 0.416036 | − | 0.194001i | −0.203318 | − | 0.979113i | \(-0.565172\pi\) |
0.619354 | + | 0.785112i | \(0.287395\pi\) | |||||||
\(48\) | −0.339838 | − | 1.69838i | −0.0490515 | − | 0.245141i | ||||
\(49\) | 2.30101 | + | 1.32849i | 0.328716 | + | 0.189785i | ||||
\(50\) | 4.29465 | + | 2.56046i | 0.607355 | + | 0.362104i | ||||
\(51\) | −0.660829 | + | 10.2611i | −0.0925346 | + | 1.43685i | ||||
\(52\) | −0.343304 | − | 3.92398i | −0.0476077 | − | 0.544159i | ||||
\(53\) | 12.3843 | + | 1.08349i | 1.70112 | + | 0.148829i | 0.895932 | − | 0.444190i | \(-0.146509\pi\) |
0.805188 | + | 0.593019i | \(0.202064\pi\) | |||||||
\(54\) | −3.26620 | − | 4.04128i | −0.444474 | − | 0.549948i | ||||
\(55\) | 9.55936 | − | 2.04906i | 1.28898 | − | 0.276295i | ||||
\(56\) | − | 2.08399i | − | 0.278485i | ||||||
\(57\) | 3.45267 | − | 6.71409i | 0.457318 | − | 0.889303i | ||||
\(58\) | −2.37800 | + | 2.37800i | −0.312247 | + | 0.312247i | ||||
\(59\) | −4.57682 | + | 1.66583i | −0.595851 | + | 0.216872i | −0.622301 | − | 0.782778i | \(-0.713802\pi\) |
0.0264498 | + | 0.999650i | \(0.491580\pi\) | |||||||
\(60\) | −3.76733 | + | 0.898444i | −0.486361 | + | 0.115989i | ||||
\(61\) | 6.07641 | − | 5.09872i | 0.778005 | − | 0.652824i | −0.164740 | − | 0.986337i | \(-0.552679\pi\) |
0.942745 | + | 0.333513i | \(0.108234\pi\) | |||||||
\(62\) | −5.33540 | + | 0.466787i | −0.677597 | + | 0.0592820i | ||||
\(63\) | −2.89945 | − | 5.53898i | −0.365296 | − | 0.697846i | ||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | −8.74030 | + | 1.08840i | −1.08410 | + | 0.135000i | ||||
\(66\) | −4.20008 | + | 6.30137i | −0.516994 | + | 0.775645i | ||||
\(67\) | −6.48266 | − | 13.9021i | −0.791983 | − | 1.69841i | −0.712601 | − | 0.701570i | \(-0.752483\pi\) |
−0.0793824 | − | 0.996844i | \(-0.525295\pi\) | |||||||
\(68\) | −5.73426 | + | 1.53649i | −0.695381 | + | 0.186327i | ||||
\(69\) | −9.63171 | + | 2.81928i | −1.15952 | + | 0.339401i | ||||
\(70\) | −4.65682 | + | 0.170622i | −0.556596 | + | 0.0203932i | ||||
\(71\) | 7.74135 | − | 9.22578i | 0.918729 | − | 1.09490i | −0.0764744 | − | 0.997072i | \(-0.524366\pi\) |
0.995203 | − | 0.0978271i | \(-0.0311892\pi\) | |||||||
\(72\) | 1.60614 | − | 2.53383i | 0.189285 | − | 0.298615i | ||||
\(73\) | 2.89078 | + | 4.12846i | 0.338340 | + | 0.483200i | 0.951883 | − | 0.306462i | \(-0.0991451\pi\) |
−0.613543 | + | 0.789661i | \(0.710256\pi\) | |||||||
\(74\) | −1.89547 | + | 0.689894i | −0.220344 | + | 0.0801985i | ||||
\(75\) | 2.31608 | + | 8.34481i | 0.267437 | + | 0.963575i | ||||
\(76\) | 4.31069 | + | 0.646493i | 0.494470 | + | 0.0741579i | ||||
\(77\) | −6.44287 | + | 6.44287i | −0.734233 | + | 0.734233i | ||||
\(78\) | 4.26431 | − | 5.32562i | 0.482838 | − | 0.603007i | ||||
\(79\) | −2.39244 | − | 0.421851i | −0.269170 | − | 0.0474620i | 0.0374338 | − | 0.999299i | \(-0.488082\pi\) |
−0.306604 | + | 0.951837i | \(0.599193\pi\) | |||||||
\(80\) | −1.18819 | − | 1.89426i | −0.132843 | − | 0.211784i | ||||
\(81\) | 0.743599 | − | 8.96923i | 0.0826221 | − | 0.996581i | ||||
\(82\) | 1.40203 | − | 2.00230i | 0.154828 | − | 0.221117i | ||||
\(83\) | 0.621641 | − | 2.32000i | 0.0682340 | − | 0.254653i | −0.923380 | − | 0.383887i | \(-0.874585\pi\) |
0.991614 | + | 0.129234i | \(0.0412519\pi\) | |||||||
\(84\) | 2.49310 | − | 2.61027i | 0.272020 | − | 0.284803i | ||||
\(85\) | 3.90287 | + | 12.6878i | 0.423326 | + | 1.37619i | ||||
\(86\) | −0.817641 | + | 2.24645i | −0.0881685 | + | 0.242241i | ||||
\(87\) | −5.82336 | + | 0.133694i | −0.624330 | + | 0.0143335i | ||||
\(88\) | −4.22321 | − | 1.13160i | −0.450195 | − | 0.120629i | ||||
\(89\) | −1.17246 | − | 6.64938i | −0.124281 | − | 0.704833i | −0.981732 | − | 0.190267i | \(-0.939064\pi\) |
0.857451 | − | 0.514565i | \(-0.172047\pi\) | |||||||
\(90\) | −5.79353 | − | 3.38157i | −0.610691 | − | 0.356449i | ||||
\(91\) | 6.28829 | − | 5.27650i | 0.659192 | − | 0.553128i | ||||
\(92\) | −3.32341 | − | 4.74633i | −0.346490 | − | 0.494839i | ||||
\(93\) | −7.24119 | − | 5.79814i | −0.750876 | − | 0.601239i | ||||
\(94\) | 3.14705i | 0.324594i | ||||||||
\(95\) | 1.09171 | − | 9.68546i | 0.112007 | − | 0.993707i | ||||
\(96\) | 1.68288 | + | 0.409770i | 0.171758 | + | 0.0418220i | ||||
\(97\) | 10.3088 | + | 4.80709i | 1.04670 | + | 0.488086i | 0.868387 | − | 0.495887i | \(-0.165157\pi\) |
0.178317 | + | 0.983973i | \(0.442935\pi\) | |||||||
\(98\) | −2.17647 | + | 1.52398i | −0.219857 | + | 0.153946i | ||||
\(99\) | −12.7991 | + | 2.86807i | −1.28636 | + | 0.288252i | ||||
\(100\) | −4.13557 | + | 2.81018i | −0.413557 | + | 0.281018i | ||||
\(101\) | −8.92594 | + | 1.57388i | −0.888164 | + | 0.156607i | −0.599073 | − | 0.800694i | \(-0.704464\pi\) |
−0.289091 | + | 0.957302i | \(0.593353\pi\) | |||||||
\(102\) | −9.02047 | − | 4.93546i | −0.893160 | − | 0.488683i | ||||
\(103\) | 0.426490 | + | 1.59168i | 0.0420233 | + | 0.156833i | 0.983749 | − | 0.179548i | \(-0.0574636\pi\) |
−0.941726 | + | 0.336381i | \(0.890797\pi\) | |||||||
\(104\) | 3.70142 | + | 1.34721i | 0.362954 | + | 0.132105i | ||||
\(105\) | −6.03694 | − | 5.35730i | −0.589145 | − | 0.522819i | ||||
\(106\) | −6.21583 | + | 10.7661i | −0.603734 | + | 1.04570i | ||||
\(107\) | 7.96848 | + | 2.13515i | 0.770342 | + | 0.206412i | 0.622522 | − | 0.782602i | \(-0.286108\pi\) |
0.147819 | + | 0.989014i | \(0.452775\pi\) | |||||||
\(108\) | 5.04300 | − | 1.25227i | 0.485263 | − | 0.120500i | ||||
\(109\) | 2.21689 | − | 2.64199i | 0.212340 | − | 0.253057i | −0.649353 | − | 0.760487i | \(-0.724960\pi\) |
0.861693 | + | 0.507431i | \(0.169405\pi\) | |||||||
\(110\) | −2.18288 | + | 9.52969i | −0.208130 | + | 0.908620i | ||||
\(111\) | −3.19946 | − | 1.40346i | −0.303680 | − | 0.133210i | ||||
\(112\) | 1.88874 | + | 0.880732i | 0.178469 | + | 0.0832214i | ||||
\(113\) | −5.09234 | − | 5.09234i | −0.479047 | − | 0.479047i | 0.425780 | − | 0.904827i | \(-0.360000\pi\) |
−0.904827 | + | 0.425780i | \(0.860000\pi\) | |||||||
\(114\) | 4.62587 | + | 5.96668i | 0.433253 | + | 0.558831i | ||||
\(115\) | −10.3339 | + | 7.81499i | −0.963641 | + | 0.728752i | ||||
\(116\) | −1.15022 | − | 3.16019i | −0.106795 | − | 0.293416i | ||||
\(117\) | 11.7123 | − | 1.56907i | 1.08280 | − | 0.145060i | ||||
\(118\) | 0.424496 | − | 4.85202i | 0.0390781 | − | 0.446664i | ||||
\(119\) | −9.47727 | − | 7.95238i | −0.868780 | − | 0.728993i | ||||
\(120\) | 0.777877 | − | 3.79406i | 0.0710101 | − | 0.346349i | ||||
\(121\) | 4.05799 | + | 7.02865i | 0.368909 | + | 0.638968i | ||||
\(122\) | 2.05300 | + | 7.66191i | 0.185870 | + | 0.693677i | ||||
\(123\) | 4.15146 | − | 0.830688i | 0.374325 | − | 0.0749006i | ||||
\(124\) | 1.83179 | − | 5.03279i | 0.164499 | − | 0.451958i | ||||
\(125\) | 6.61812 | + | 9.01113i | 0.591943 | + | 0.805980i | ||||
\(126\) | 6.24538 | − | 0.286916i | 0.556383 | − | 0.0255605i | ||||
\(127\) | 10.6842 | − | 15.2586i | 0.948065 | − | 1.35398i | 0.0128425 | − | 0.999918i | \(-0.495912\pi\) |
0.935223 | − | 0.354060i | \(-0.115199\pi\) | |||||||
\(128\) | 0.0871557 | + | 0.996195i | 0.00770355 | + | 0.0880520i | ||||
\(129\) | −3.71158 | + | 1.83560i | −0.326786 | + | 0.161616i | ||||
\(130\) | 2.70738 | − | 8.38138i | 0.237453 | − | 0.735096i | ||||
\(131\) | −1.54823 | − | 4.25374i | −0.135270 | − | 0.371651i | 0.853501 | − | 0.521092i | \(-0.174475\pi\) |
−0.988771 | + | 0.149440i | \(0.952253\pi\) | |||||||
\(132\) | −3.93595 | − | 6.46964i | −0.342581 | − | 0.563110i | ||||
\(133\) | 4.04906 | + | 8.13157i | 0.351098 | + | 0.705097i | ||||
\(134\) | 15.3393 | 1.32511 | ||||||||
\(135\) | −3.21116 | − | 11.1664i | −0.276373 | − | 0.961050i | ||||
\(136\) | 1.03087 | − | 5.84635i | 0.0883964 | − | 0.501321i | ||||
\(137\) | −0.593667 | + | 6.78565i | −0.0507204 | + | 0.579737i | 0.927730 | + | 0.373253i | \(0.121758\pi\) |
−0.978450 | + | 0.206484i | \(0.933798\pi\) | |||||||
\(138\) | 1.51540 | − | 9.92077i | 0.129000 | − | 0.844512i | ||||
\(139\) | −3.07399 | + | 0.542027i | −0.260732 | + | 0.0459741i | −0.302486 | − | 0.953154i | \(-0.597817\pi\) |
0.0417539 | + | 0.999128i | \(0.486705\pi\) | |||||||
\(140\) | 1.81342 | − | 4.29262i | 0.153262 | − | 0.362793i | ||||
\(141\) | −3.76486 | + | 3.94179i | −0.317058 | + | 0.331958i | ||||
\(142\) | 5.08976 | + | 10.9150i | 0.427123 | + | 0.915969i | ||||
\(143\) | −7.27829 | − | 15.6084i | −0.608641 | − | 1.30524i | ||||
\(144\) | 1.61765 | + | 2.52650i | 0.134804 | + | 0.210542i | ||||
\(145\) | −6.96749 | + | 2.82897i | −0.578619 | + | 0.234933i | ||||
\(146\) | −4.96335 | + | 0.875173i | −0.410770 | + | 0.0724298i | ||||
\(147\) | −4.54926 | − | 0.694902i | −0.375217 | − | 0.0573146i | ||||
\(148\) | 0.175803 | − | 2.00944i | 0.0144509 | − | 0.165175i | ||||
\(149\) | 1.37537 | − | 7.80014i | 0.112675 | − | 0.639012i | −0.875200 | − | 0.483761i | \(-0.839270\pi\) |
0.987875 | − | 0.155251i | \(-0.0496186\pi\) | |||||||
\(150\) | −8.54178 | − | 1.42759i | −0.697433 | − | 0.116562i | ||||
\(151\) | −10.9477 | −0.890911 | −0.445455 | − | 0.895304i | \(-0.646958\pi\) | ||||
−0.445455 | + | 0.895304i | \(0.646958\pi\) | |||||||
\(152\) | −2.40770 | + | 3.63359i | −0.195290 | + | 0.294723i | ||||
\(153\) | −5.39409 | − | 16.9731i | −0.436086 | − | 1.37220i | ||||
\(154\) | −3.11635 | − | 8.56209i | −0.251122 | − | 0.689953i | ||||
\(155\) | −11.3961 | − | 3.68120i | −0.915356 | − | 0.295681i | ||||
\(156\) | 3.02447 | + | 6.11548i | 0.242152 | + | 0.489630i | ||||
\(157\) | −2.14120 | − | 24.4740i | −0.170886 | − | 1.95324i | −0.281956 | − | 0.959427i | \(-0.590983\pi\) |
0.111069 | − | 0.993813i | \(-0.464572\pi\) | |||||||
\(158\) | 1.39341 | − | 1.99000i | 0.110854 | − | 0.158316i | ||||
\(159\) | −20.6652 | + | 6.04886i | −1.63885 | + | 0.479706i | ||||
\(160\) | 2.21893 | − | 0.276317i | 0.175422 | − | 0.0218447i | ||||
\(161\) | 4.12991 | − | 11.3468i | 0.325482 | − | 0.894256i | ||||
\(162\) | 7.81462 | + | 4.46449i | 0.613975 | + | 0.350763i | ||||
\(163\) | −0.417646 | − | 1.55868i | −0.0327126 | − | 0.122085i | 0.947639 | − | 0.319344i | \(-0.103463\pi\) |
−0.980351 | + | 0.197259i | \(0.936796\pi\) | |||||||
\(164\) | 1.22218 | + | 2.11688i | 0.0954363 | + | 0.165300i | ||||
\(165\) | −14.1346 | + | 9.32484i | −1.10038 | + | 0.725938i | ||||
\(166\) | 1.83991 | + | 1.54387i | 0.142805 | + | 0.119828i | ||||
\(167\) | −1.64146 | + | 18.7620i | −0.127020 | + | 1.45185i | 0.618721 | + | 0.785611i | \(0.287651\pi\) |
−0.745741 | + | 0.666236i | \(0.767904\pi\) | |||||||
\(168\) | 1.31207 | + | 3.36266i | 0.101229 | + | 0.259435i | ||||
\(169\) | 0.860352 | + | 2.36380i | 0.0661809 | + | 0.181831i | ||||
\(170\) | −13.1485 | − | 1.82489i | −1.00844 | − | 0.139963i | ||||
\(171\) | −1.34396 | + | 13.0075i | −0.102775 | + | 0.994705i | ||||
\(172\) | −1.69043 | − | 1.69043i | −0.128894 | − | 0.128894i | ||||
\(173\) | 14.6798 | + | 6.84532i | 1.11609 | + | 0.520440i | 0.891048 | − | 0.453910i | \(-0.149971\pi\) |
0.225039 | + | 0.974350i | \(0.427749\pi\) | |||||||
\(174\) | 2.33989 | − | 5.33426i | 0.177387 | − | 0.404389i | ||||
\(175\) | −9.74062 | − | 3.70077i | −0.736322 | − | 0.279752i | ||||
\(176\) | 2.81039 | − | 3.34929i | 0.211841 | − | 0.252462i | ||||
\(177\) | 6.33622 | − | 5.56948i | 0.476259 | − | 0.418628i | ||||
\(178\) | 6.52189 | + | 1.74753i | 0.488836 | + | 0.130983i | ||||
\(179\) | 9.64388 | − | 16.7037i | 0.720818 | − | 1.24849i | −0.239855 | − | 0.970809i | \(-0.577100\pi\) |
0.960672 | − | 0.277684i | \(-0.0895668\pi\) | |||||||
\(180\) | 5.51320 | − | 3.82160i | 0.410929 | − | 0.284845i | ||||
\(181\) | 12.9197 | + | 4.70237i | 0.960311 | + | 0.349524i | 0.774155 | − | 0.632996i | \(-0.218175\pi\) |
0.186155 | + | 0.982520i | \(0.440397\pi\) | |||||||
\(182\) | 2.12459 | + | 7.92907i | 0.157485 | + | 0.587742i | ||||
\(183\) | −6.59458 | + | 12.0528i | −0.487485 | + | 0.890971i | ||||
\(184\) | 5.70617 | − | 1.00615i | 0.420664 | − | 0.0741745i | ||||
\(185\) | −4.50462 | − | 0.228326i | −0.331187 | − | 0.0167869i | ||||
\(186\) | 8.31516 | − | 4.11235i | 0.609697 | − | 0.301532i | ||||
\(187\) | −21.2616 | + | 14.8876i | −1.55480 | + | 1.08869i | ||||
\(188\) | −2.85220 | − | 1.33000i | −0.208018 | − | 0.0970004i | ||||
\(189\) | 8.16579 | + | 7.11206i | 0.593974 | + | 0.517326i | ||||
\(190\) | 8.31664 | + | 5.08267i | 0.603352 | + | 0.368736i | ||||
\(191\) | 19.3179i | 1.39779i | 0.715222 | + | 0.698897i | \(0.246325\pi\) | ||||
−0.715222 | + | 0.698897i | \(0.753675\pi\) | |||||||
\(192\) | −1.08259 | + | 1.35203i | −0.0781295 | + | 0.0975745i | ||||
\(193\) | 13.8374 | + | 19.7619i | 0.996041 | + | 1.42249i | 0.904392 | + | 0.426702i | \(0.140325\pi\) |
0.0916482 | + | 0.995791i | \(0.470786\pi\) | |||||||
\(194\) | −8.71340 | + | 7.31141i | −0.625586 | + | 0.524929i | ||||
\(195\) | 13.4178 | − | 7.25908i | 0.960871 | − | 0.519834i | ||||
\(196\) | −0.461380 | − | 2.61662i | −0.0329557 | − | 0.186901i | ||||
\(197\) | −26.3154 | − | 7.05119i | −1.87489 | − | 0.502376i | −0.999831 | − | 0.0183667i | \(-0.994153\pi\) |
−0.875063 | − | 0.484010i | \(-0.839180\pi\) | |||||||
\(198\) | 2.80980 | − | 12.8121i | 0.199684 | − | 0.910514i | ||||
\(199\) | 3.20138 | − | 8.79572i | 0.226940 | − | 0.623512i | −0.773001 | − | 0.634405i | \(-0.781245\pi\) |
0.999941 | + | 0.0108930i | \(0.00346741\pi\) | |||||||
\(200\) | −0.799118 | − | 4.93573i | −0.0565062 | − | 0.349009i | ||||
\(201\) | 19.2130 | + | 18.3506i | 1.35518 | + | 1.29435i | ||||
\(202\) | 2.34584 | − | 8.75480i | 0.165053 | − | 0.615986i | ||||
\(203\) | 4.01990 | − | 5.74101i | 0.282141 | − | 0.402940i | ||||
\(204\) | 8.28526 | − | 6.08951i | 0.580084 | − | 0.426351i | ||||
\(205\) | 4.63025 | − | 2.90436i | 0.323390 | − | 0.202849i | ||||
\(206\) | −1.62280 | − | 0.286143i | −0.113066 | − | 0.0199365i | ||||
\(207\) | 13.7664 | − | 10.6132i | 0.956832 | − | 0.737668i | ||||
\(208\) | −2.78527 | + | 2.78527i | −0.193124 | + | 0.193124i | ||||
\(209\) | 18.6773 | − | 3.78997i | 1.29193 | − | 0.262158i | ||||
\(210\) | 7.40668 | − | 3.20723i | 0.511110 | − | 0.221320i | ||||
\(211\) | −6.26865 | + | 2.28160i | −0.431551 | + | 0.157072i | −0.548657 | − | 0.836048i | \(-0.684861\pi\) |
0.117105 | + | 0.993119i | \(0.462638\pi\) | |||||||
\(212\) | −7.13050 | − | 10.1834i | −0.489725 | − | 0.699400i | ||||
\(213\) | −6.68268 | + | 19.7604i | −0.457890 | + | 1.35396i | ||||
\(214\) | −5.30272 | + | 6.31954i | −0.362487 | + | 0.431995i | ||||
\(215\) | −3.63897 | + | 3.91577i | −0.248176 | + | 0.267053i | ||||
\(216\) | −0.996322 | + | 5.09974i | −0.0677911 | + | 0.346993i | ||||
\(217\) | 10.7811 | − | 2.88878i | 0.731868 | − | 0.196103i | ||||
\(218\) | 1.45756 | + | 3.12574i | 0.0987181 | + | 0.211702i | ||||
\(219\) | −7.26374 | − | 4.84153i | −0.490838 | − | 0.327161i | ||||
\(220\) | −7.71431 | − | 6.00578i | −0.520098 | − | 0.404910i | ||||
\(221\) | 20.2510 | − | 11.6919i | 1.36223 | − | 0.786485i | ||||
\(222\) | 2.62412 | − | 2.30657i | 0.176119 | − | 0.154807i | ||||
\(223\) | −13.1467 | + | 1.15019i | −0.880369 | + | 0.0770223i | −0.518370 | − | 0.855156i | \(-0.673461\pi\) |
−0.361999 | + | 0.932179i | \(0.617906\pi\) | |||||||
\(224\) | −1.59643 | + | 1.33956i | −0.106666 | + | 0.0895033i | ||||
\(225\) | −8.99101 | − | 12.0067i | −0.599401 | − | 0.800449i | ||||
\(226\) | 6.76734 | − | 2.46311i | 0.450157 | − | 0.163844i | ||||
\(227\) | 8.40098 | − | 8.40098i | 0.557592 | − | 0.557592i | −0.371029 | − | 0.928621i | \(-0.620995\pi\) |
0.928621 | + | 0.371029i | \(0.120995\pi\) | |||||||
\(228\) | −7.36263 | + | 1.67084i | −0.487602 | + | 0.110654i | ||||
\(229\) | 20.3505i | 1.34480i | 0.740187 | + | 0.672401i | \(0.234737\pi\) | ||||
−0.740187 | + | 0.672401i | \(0.765263\pi\) | |||||||
\(230\) | −2.71549 | − | 12.6684i | −0.179054 | − | 0.835333i | ||||
\(231\) | 6.33961 | − | 14.4524i | 0.417115 | − | 0.950900i | ||||
\(232\) | 3.35021 | + | 0.293105i | 0.219952 | + | 0.0192433i | ||||
\(233\) | 2.62783 | + | 30.0362i | 0.172155 | + | 1.96774i | 0.242297 | + | 0.970202i | \(0.422099\pi\) |
−0.0701418 | + | 0.997537i | \(0.522345\pi\) | |||||||
\(234\) | −3.52777 | + | 11.2780i | −0.230617 | + | 0.737269i | ||||
\(235\) | −2.73846 | + | 6.48232i | −0.178638 | + | 0.422860i | ||||
\(236\) | 4.21802 | + | 2.43528i | 0.274570 | + | 0.158523i | ||||
\(237\) | 4.12596 | − | 0.825585i | 0.268010 | − | 0.0536275i | ||||
\(238\) | 11.2126 | − | 5.22851i | 0.726803 | − | 0.338914i | ||||
\(239\) | −2.73489 | + | 4.73697i | −0.176905 | + | 0.306409i | −0.940819 | − | 0.338910i | \(-0.889942\pi\) |
0.763914 | + | 0.645318i | \(0.223275\pi\) | |||||||
\(240\) | 3.10984 | + | 2.30844i | 0.200739 | + | 0.149009i | ||||
\(241\) | 0.912029 | + | 5.17237i | 0.0587489 | + | 0.333182i | 0.999990 | − | 0.00455478i | \(-0.00144984\pi\) |
−0.941241 | + | 0.337737i | \(0.890339\pi\) | |||||||
\(242\) | −8.08511 | + | 0.707355i | −0.519730 | + | 0.0454705i | ||||
\(243\) | 4.44715 | + | 14.9406i | 0.285285 | + | 0.958443i | ||||
\(244\) | −7.81169 | − | 1.37741i | −0.500092 | − | 0.0881797i | ||||
\(245\) | −5.80924 | + | 1.24522i | −0.371139 | + | 0.0795539i | ||||
\(246\) | −1.00163 | + | 4.11357i | −0.0638613 | + | 0.262272i | ||||
\(247\) | −17.0602 | + | 1.93492i | −1.08551 | + | 0.123116i | ||||
\(248\) | 3.78711 | + | 3.78711i | 0.240482 | + | 0.240482i | ||||
\(249\) | 0.457601 | + | 4.13486i | 0.0289993 | + | 0.262036i | ||||
\(250\) | −10.9638 | + | 2.18979i | −0.693411 | + | 0.138494i | ||||
\(251\) | 16.9309 | + | 20.1775i | 1.06867 | + | 1.27359i | 0.960146 | + | 0.279499i | \(0.0901682\pi\) |
0.108525 | + | 0.994094i | \(0.465387\pi\) | |||||||
\(252\) | −2.37938 | + | 5.78150i | −0.149887 | + | 0.364200i | ||||
\(253\) | −20.7518 | − | 14.5306i | −1.30466 | − | 0.913529i | ||||
\(254\) | 9.31363 | + | 16.1317i | 0.584389 | + | 1.01219i | ||||
\(255\) | −14.2858 | − | 18.0154i | −0.894609 | − | 1.12817i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 15.4117 | − | 7.18658i | 0.961354 | − | 0.448287i | 0.122395 | − | 0.992481i | \(-0.460943\pi\) |
0.838959 | + | 0.544195i | \(0.183165\pi\) | |||||||
\(258\) | −0.0950373 | − | 4.13959i | −0.00591677 | − | 0.257720i | ||||
\(259\) | 3.64047 | − | 2.10182i | 0.226208 | − | 0.130601i | ||||
\(260\) | 6.45192 | + | 5.99585i | 0.400131 | + | 0.371847i | ||||
\(261\) | 9.31223 | − | 3.88210i | 0.576413 | − | 0.240296i | ||||
\(262\) | 4.50951 | + | 0.394531i | 0.278598 | + | 0.0243742i | ||||
\(263\) | −17.3143 | + | 12.1236i | −1.06764 | + | 0.747572i | −0.968878 | − | 0.247539i | \(-0.920378\pi\) |
−0.0987654 | + | 0.995111i | \(0.531489\pi\) | |||||||
\(264\) | 7.52689 | − | 0.832994i | 0.463248 | − | 0.0512673i | ||||
\(265\) | −22.1717 | + | 16.7673i | −1.36200 | + | 1.03001i | ||||
\(266\) | −9.08091 | + | 0.233140i | −0.556786 | + | 0.0142947i | ||||
\(267\) | 6.07828 | + | 9.99105i | 0.371985 | + | 0.611443i | ||||
\(268\) | −6.48266 | + | 13.9021i | −0.395992 | + | 0.849207i | ||||
\(269\) | −1.52614 | + | 8.65518i | −0.0930505 | + | 0.527716i | 0.902277 | + | 0.431157i | \(0.141895\pi\) |
−0.995327 | + | 0.0965584i | \(0.969217\pi\) | |||||||
\(270\) | 11.4773 | + | 1.80882i | 0.698486 | + | 0.110081i | ||||
\(271\) | −14.7524 | − | 12.3787i | −0.896143 | − | 0.751953i | 0.0732900 | − | 0.997311i | \(-0.476650\pi\) |
−0.969433 | + | 0.245358i | \(0.921095\pi\) | |||||||
\(272\) | 4.86293 | + | 3.40506i | 0.294859 | + | 0.206462i | ||||
\(273\) | −6.82453 | + | 12.4731i | −0.413039 | + | 0.754906i | ||||
\(274\) | −5.89899 | − | 3.40578i | −0.356371 | − | 0.205751i | ||||
\(275\) | −12.7887 | + | 17.7299i | −0.771190 | + | 1.06915i | ||||
\(276\) | 8.35083 | + | 5.56612i | 0.502661 | + | 0.335041i | ||||
\(277\) | 3.73317 | − | 1.00030i | 0.224305 | − | 0.0601023i | −0.144916 | − | 0.989444i | \(-0.546291\pi\) |
0.369221 | + | 0.929342i | \(0.379625\pi\) | |||||||
\(278\) | 0.807880 | − | 3.01505i | 0.0484534 | − | 0.180831i | ||||
\(279\) | 15.3347 | + | 4.79667i | 0.918062 | + | 0.287169i | ||||
\(280\) | 3.12405 | + | 3.45766i | 0.186698 | + | 0.206635i | ||||
\(281\) | −9.39123 | − | 11.1920i | −0.560234 | − | 0.667660i | 0.409362 | − | 0.912372i | \(-0.365751\pi\) |
−0.969596 | + | 0.244711i | \(0.921307\pi\) | |||||||
\(282\) | −1.98137 | − | 5.07799i | −0.117989 | − | 0.302390i | ||||
\(283\) | 10.9391 | − | 23.4589i | 0.650259 | − | 1.39449i | −0.253875 | − | 0.967237i | \(-0.581705\pi\) |
0.904134 | − | 0.427248i | \(-0.140517\pi\) | |||||||
\(284\) | −12.0434 | −0.714644 | ||||||||
\(285\) | 4.33639 | + | 16.3155i | 0.256866 | + | 0.966447i | ||||
\(286\) | 17.2219 | 1.01835 | ||||||||
\(287\) | −2.15283 | + | 4.61675i | −0.127077 | + | 0.272518i | ||||
\(288\) | −2.97344 | + | 0.398344i | −0.175211 | + | 0.0234727i | ||||
\(289\) | −11.7261 | − | 13.9746i | −0.689770 | − | 0.822035i | ||||
\(290\) | 0.380673 | − | 7.51027i | 0.0223539 | − | 0.441018i | ||||
\(291\) | −19.6605 | − | 1.26616i | −1.15252 | − | 0.0742237i | ||||
\(292\) | 1.30443 | − | 4.86819i | 0.0763358 | − | 0.284889i | ||||
\(293\) | −3.02054 | + | 0.809352i | −0.176462 | + | 0.0472828i | −0.345968 | − | 0.938246i | \(-0.612449\pi\) |
0.169506 | + | 0.985529i | \(0.445783\pi\) | |||||||
\(294\) | 2.55240 | − | 3.82935i | 0.148859 | − | 0.223332i | ||||
\(295\) | 5.09645 | − | 9.62484i | 0.296727 | − | 0.560380i | ||||
\(296\) | 1.74687 | + | 1.00856i | 0.101535 | + | 0.0586212i | ||||
\(297\) | 18.8466 | − | 12.6861i | 1.09359 | − | 0.736124i | ||||
\(298\) | 6.48807 | + | 4.54299i | 0.375844 | + | 0.263169i | ||||
\(299\) | 17.4836 | + | 14.6705i | 1.01110 | + | 0.848414i | ||||
\(300\) | 4.90375 | − | 7.13816i | 0.283118 | − | 0.412122i | ||||
\(301\) | 0.865122 | − | 4.90635i | 0.0498648 | − | 0.282797i | ||||
\(302\) | 4.62670 | − | 9.92198i | 0.266236 | − | 0.570946i | ||||
\(303\) | 13.4117 | − | 8.15932i | 0.770483 | − | 0.468741i | ||||
\(304\) | −2.27562 | − | 3.71774i | −0.130515 | − | 0.213227i | ||||
\(305\) | −2.43836 | + | 17.5685i | −0.139620 | + | 1.00597i | ||||
\(306\) | 17.6625 | + | 2.28445i | 1.00970 | + | 0.130593i | ||||
\(307\) | −6.84030 | + | 4.78963i | −0.390397 | + | 0.273359i | −0.752252 | − | 0.658876i | \(-0.771032\pi\) |
0.361855 | + | 0.932234i | \(0.382143\pi\) | |||||||
\(308\) | 9.07692 | + | 0.794127i | 0.517205 | + | 0.0452496i | ||||
\(309\) | −1.69029 | − | 2.29977i | −0.0961572 | − | 0.130829i | ||||
\(310\) | 8.15250 | − | 8.77262i | 0.463031 | − | 0.498251i | ||||
\(311\) | 12.1464 | − | 7.01276i | 0.688762 | − | 0.397657i | −0.114386 | − | 0.993436i | \(-0.536490\pi\) |
0.803148 | + | 0.595780i | \(0.203157\pi\) | |||||||
\(312\) | −6.82070 | + | 0.156591i | −0.386146 | + | 0.00886520i | ||||
\(313\) | −24.9350 | + | 11.6274i | −1.40941 | + | 0.657218i | −0.970453 | − | 0.241291i | \(-0.922429\pi\) |
−0.438955 | + | 0.898509i | \(0.644651\pi\) | |||||||
\(314\) | 23.0859 | + | 8.40258i | 1.30281 | + | 0.474185i | ||||
\(315\) | 13.1140 | + | 4.84354i | 0.738888 | + | 0.272903i | ||||
\(316\) | 1.21467 | + | 2.10387i | 0.0683307 | + | 0.118352i | ||||
\(317\) | −17.3851 | − | 12.1732i | −0.976447 | − | 0.683715i | −0.0276549 | − | 0.999618i | \(-0.508804\pi\) |
−0.948792 | + | 0.315902i | \(0.897693\pi\) | |||||||
\(318\) | 3.25135 | − | 21.2854i | 0.182327 | − | 1.19362i | ||||
\(319\) | −9.45134 | − | 11.2637i | −0.529174 | − | 0.630645i | ||||
\(320\) | −0.687332 | + | 2.12781i | −0.0384230 | + | 0.118948i | ||||
\(321\) | −14.2020 | + | 1.57172i | −0.792677 | + | 0.0877248i | ||||
\(322\) | 8.53835 | + | 8.53835i | 0.475824 | + | 0.475824i | ||||
\(323\) | 7.33670 | + | 24.8149i | 0.408225 | + | 1.38074i | ||||
\(324\) | −7.34880 | + | 5.19568i | −0.408267 | + | 0.288649i | ||||
\(325\) | 12.8699 | − | 14.9082i | 0.713893 | − | 0.826956i | ||||
\(326\) | 1.58915 | + | 0.280209i | 0.0880146 | + | 0.0155193i | ||||
\(327\) | −1.91372 | + | 5.65878i | −0.105829 | + | 0.312931i | ||||
\(328\) | −2.43506 | + | 0.213040i | −0.134454 | + | 0.0117632i | ||||
\(329\) | −1.13886 | − | 6.45879i | −0.0627873 | − | 0.356085i | ||||
\(330\) | −2.47763 | − | 16.7512i | −0.136389 | − | 0.922121i | ||||
\(331\) | −11.0257 | + | 19.0971i | −0.606029 | + | 1.04967i | 0.385859 | + | 0.922558i | \(0.373905\pi\) |
−0.991888 | + | 0.127115i | \(0.959428\pi\) | |||||||
\(332\) | −2.17680 | + | 1.01506i | −0.119468 | + | 0.0557087i | ||||
\(333\) | 6.04617 | + | 0.250202i | 0.331328 | + | 0.0137110i | ||||
\(334\) | −16.3104 | − | 9.41683i | −0.892467 | − | 0.515266i | ||||
\(335\) | 31.5960 | + | 13.3478i | 1.72627 | + | 0.729266i | ||||
\(336\) | −3.60212 | − | 0.231980i | −0.196512 | − | 0.0126556i | ||||
\(337\) | 1.75008 | + | 20.0035i | 0.0953327 | + | 1.08966i | 0.881672 | + | 0.471863i | \(0.156418\pi\) |
−0.786339 | + | 0.617795i | \(0.788026\pi\) | |||||||
\(338\) | −2.50593 | − | 0.219240i | −0.136305 | − | 0.0119251i | ||||
\(339\) | 11.4230 | + | 5.01072i | 0.620410 | + | 0.272145i | ||||
\(340\) | 7.21070 | − | 11.1453i | 0.391055 | − | 0.604441i | ||||
\(341\) | − | 23.4165i | − | 1.26807i | ||||||
\(342\) | −11.2208 | − | 6.71522i | −0.606750 | − | 0.363118i | ||||
\(343\) | 14.2306 | − | 14.2306i | 0.768378 | − | 0.768378i | ||||
\(344\) | 2.24645 | − | 0.817641i | 0.121121 | − | 0.0440843i | ||||
\(345\) | 11.7542 | − | 19.1162i | 0.632823 | − | 1.02918i | ||||
\(346\) | −12.4079 | + | 10.4115i | −0.667055 | + | 0.559725i | ||||
\(347\) | 24.9898 | − | 2.18633i | 1.34152 | − | 0.117368i | 0.606324 | − | 0.795218i | \(-0.292643\pi\) |
0.735201 | + | 0.677849i | \(0.237088\pi\) | |||||||
\(348\) | 3.84560 | + | 4.37502i | 0.206146 | + | 0.234526i | ||||
\(349\) | 17.3782 | − | 10.0333i | 0.930233 | − | 0.537070i | 0.0433476 | − | 0.999060i | \(-0.486198\pi\) |
0.886885 | + | 0.461990i | \(0.152864\pi\) | |||||||
\(350\) | 7.47060 | − | 7.26399i | 0.399320 | − | 0.388277i | ||||
\(351\) | −17.9107 | + | 9.90582i | −0.956003 | + | 0.528733i | ||||
\(352\) | 1.84776 | + | 3.96254i | 0.0984862 | + | 0.211204i | ||||
\(353\) | 27.5514 | − | 7.38238i | 1.46641 | − | 0.392924i | 0.564714 | − | 0.825287i | \(-0.308987\pi\) |
0.901700 | + | 0.432362i | \(0.142320\pi\) | |||||||
\(354\) | 2.36986 | + | 8.09633i | 0.125957 | + | 0.430315i | ||||
\(355\) | 0.986026 | + | 26.9118i | 0.0523328 | + | 1.42833i | ||||
\(356\) | −4.34007 | + | 5.17230i | −0.230023 | + | 0.274131i | ||||
\(357\) | 20.2990 | + | 6.86485i | 1.07434 | + | 0.363326i | ||||
\(358\) | 11.0630 | + | 15.7996i | 0.584698 | + | 0.835035i | ||||
\(359\) | 21.9667 | − | 7.99521i | 1.15936 | − | 0.421971i | 0.310489 | − | 0.950577i | \(-0.399507\pi\) |
0.848867 | + | 0.528606i | \(0.177285\pi\) | |||||||
\(360\) | 1.13357 | + | 6.61173i | 0.0597444 | + | 0.348469i | ||||
\(361\) | 2.33483 | − | 18.8560i | 0.122886 | − | 0.992421i | ||||
\(362\) | −9.72188 | + | 9.72188i | −0.510971 | + | 0.510971i | ||||
\(363\) | −10.9731 | − | 8.78632i | −0.575937 | − | 0.461162i | ||||
\(364\) | −8.08407 | − | 1.42544i | −0.423720 | − | 0.0747133i | ||||
\(365\) | −10.9851 | − | 2.51626i | −0.574986 | − | 0.131707i | ||||
\(366\) | −8.13658 | − | 11.0705i | −0.425306 | − | 0.578662i | ||||
\(367\) | −14.2088 | + | 20.2922i | −0.741691 | + | 1.05924i | 0.254063 | + | 0.967188i | \(0.418233\pi\) |
−0.995754 | + | 0.0920567i | \(0.970656\pi\) | |||||||
\(368\) | −1.49965 | + | 5.59676i | −0.0781746 | + | 0.291751i | ||||
\(369\) | −6.17568 | + | 3.95412i | −0.321493 | + | 0.205843i | ||||
\(370\) | 2.11067 | − | 3.98608i | 0.109729 | − | 0.207226i | ||||
\(371\) | 8.86087 | − | 24.3450i | 0.460033 | − | 1.26393i | ||||
\(372\) | 0.212915 | + | 9.27404i | 0.0110391 | + | 0.480837i | ||||
\(373\) | −4.70106 | − | 1.25964i | −0.243411 | − | 0.0652219i | 0.135051 | − | 0.990839i | \(-0.456880\pi\) |
−0.378462 | + | 0.925617i | \(0.623547\pi\) | |||||||
\(374\) | −4.50715 | − | 25.5613i | −0.233059 | − | 1.32175i | ||||
\(375\) | −16.3522 | − | 10.3733i | −0.844423 | − | 0.535677i | ||||
\(376\) | 2.41078 | − | 2.02289i | 0.124327 | − | 0.104322i | ||||
\(377\) | 7.59805 | + | 10.8511i | 0.391319 | + | 0.558862i | ||||
\(378\) | −9.89672 | + | 4.39503i | −0.509033 | + | 0.226056i | ||||
\(379\) | − | 7.91114i | − | 0.406368i | −0.979141 | − | 0.203184i | \(-0.934871\pi\) | ||
0.979141 | − | 0.203184i | \(-0.0651289\pi\) | |||||||
\(380\) | −8.12123 | + | 5.38940i | −0.416610 | + | 0.276470i | ||||
\(381\) | −7.63289 | + | 31.3474i | −0.391045 | + | 1.60598i | ||||
\(382\) | −17.5080 | − | 8.16409i | −0.895785 | − | 0.417711i | ||||
\(383\) | −17.9083 | + | 12.5395i | −0.915070 | + | 0.640739i | −0.933301 | − | 0.359095i | \(-0.883085\pi\) |
0.0182314 | + | 0.999834i | \(0.494196\pi\) | |||||||
\(384\) | −0.767833 | − | 1.55256i | −0.0391833 | − | 0.0792286i | ||||
\(385\) | 1.03138 | − | 20.3480i | 0.0525640 | − | 1.03703i | ||||
\(386\) | −23.7583 | + | 4.18923i | −1.20927 | + | 0.213226i | ||||
\(387\) | 4.83320 | − | 5.29867i | 0.245686 | − | 0.269346i | ||||
\(388\) | −2.94395 | − | 10.9870i | −0.149456 | − | 0.557778i | ||||
\(389\) | −23.1846 | − | 8.43852i | −1.17551 | − | 0.427850i | −0.320895 | − | 0.947115i | \(-0.603984\pi\) |
−0.854613 | + | 0.519265i | \(0.826206\pi\) | |||||||
\(390\) | 0.908342 | + | 15.2285i | 0.0459957 | + | 0.771125i | ||||
\(391\) | 17.1987 | − | 29.7891i | 0.869778 | − | 1.50650i | ||||
\(392\) | 2.56645 | + | 0.687678i | 0.129625 | + | 0.0347330i | ||||
\(393\) | 5.17633 | + | 5.88894i | 0.261111 | + | 0.297058i | ||||
\(394\) | 17.5119 | − | 20.8699i | 0.882237 | − | 1.05141i | ||||
\(395\) | 4.60180 | − | 2.88652i | 0.231542 | − | 0.145237i | ||||
\(396\) | 10.4242 | + | 7.96116i | 0.523836 | + | 0.400063i | ||||
\(397\) | −14.9012 | − | 6.94854i | −0.747869 | − | 0.348737i | 0.0110351 | − | 0.999939i | \(-0.496487\pi\) |
−0.758905 | + | 0.651202i | \(0.774265\pi\) | |||||||
\(398\) | 6.61867 | + | 6.61867i | 0.331764 | + | 0.331764i | ||||
\(399\) | −11.6530 | − | 10.5716i | −0.583382 | − | 0.529241i | ||||
\(400\) | 4.81101 | + | 1.36168i | 0.240551 | + | 0.0680841i | ||||
\(401\) | −7.19507 | − | 19.7683i | −0.359305 | − | 0.987181i | −0.979271 | − | 0.202553i | \(-0.935076\pi\) |
0.619967 | − | 0.784628i | \(-0.287146\pi\) | |||||||
\(402\) | −24.7510 | + | 9.65757i | −1.23447 | + | 0.481676i | ||||
\(403\) | −1.83866 | + | 21.0160i | −0.0915903 | + | 1.04688i | ||||
\(404\) | 6.94315 | + | 5.82600i | 0.345435 | + | 0.289854i | ||||
\(405\) | 12.2118 | + | 15.9960i | 0.606808 | + | 0.794849i | ||||
\(406\) | 3.50424 | + | 6.06952i | 0.173912 | + | 0.301225i | ||||
\(407\) | −2.28258 | − | 8.51869i | −0.113143 | − | 0.422256i | ||||
\(408\) | 2.01747 | + | 10.0825i | 0.0998794 | + | 0.499160i | ||||
\(409\) | −4.92365 | + | 13.5276i | −0.243459 | + | 0.668897i | 0.756432 | + | 0.654073i | \(0.226941\pi\) |
−0.999890 | + | 0.0148241i | \(0.995281\pi\) | |||||||
\(410\) | 0.675418 | + | 5.42386i | 0.0333565 | + | 0.267866i | ||||
\(411\) | −3.31430 | − | 11.3229i | −0.163482 | − | 0.558517i | ||||
\(412\) | 0.945156 | − | 1.34982i | 0.0465645 | − | 0.0665010i | ||||
\(413\) | 0.884647 | + | 10.1116i | 0.0435306 | + | 0.497557i | ||||
\(414\) | 3.80088 | + | 16.9619i | 0.186803 | + | 0.833634i | ||||
\(415\) | 2.44644 | + | 4.78111i | 0.120091 | + | 0.234696i | ||||
\(416\) | −1.34721 | − | 3.70142i | −0.0660523 | − | 0.181477i | ||||
\(417\) | 4.61883 | − | 2.80997i | 0.226185 | − | 0.137605i | ||||
\(418\) | −4.45847 | + | 18.5291i | −0.218071 | + | 0.906286i | ||||
\(419\) | −23.3446 | −1.14046 | −0.570229 | − | 0.821486i | \(-0.693146\pi\) | ||||
−0.570229 | + | 0.821486i | \(0.693146\pi\) | |||||||
\(420\) | −0.223461 | + | 8.06817i | −0.0109038 | + | 0.393686i | ||||
\(421\) | −4.62403 | + | 26.2242i | −0.225361 | + | 1.27809i | 0.636632 | + | 0.771168i | \(0.280327\pi\) |
−0.861993 | + | 0.506920i | \(0.830784\pi\) | |||||||
\(422\) | 0.581412 | − | 6.64557i | 0.0283027 | − | 0.323501i | ||||
\(423\) | 3.59312 | − | 8.73069i | 0.174704 | − | 0.424501i | ||||
\(424\) | 12.2428 | − | 2.15873i | 0.594562 | − | 0.104837i | ||||
\(425\) | −25.4954 | − | 15.2003i | −1.23671 | − | 0.737323i | ||||
\(426\) | −15.0848 | − | 14.4077i | −0.730859 | − | 0.698053i | ||||
\(427\) | −6.98614 | − | 14.9818i | −0.338083 | − | 0.725022i | ||||
\(428\) | −3.48642 | − | 7.47665i | −0.168522 | − | 0.361398i | ||||
\(429\) | 21.5710 | + | 20.6028i | 1.04146 | + | 0.994711i | ||||
\(430\) | −2.01100 | − | 4.95291i | −0.0969790 | − | 0.238850i | ||||
\(431\) | 13.3557 | − | 2.35496i | 0.643319 | − | 0.113435i | 0.157535 | − | 0.987513i | \(-0.449645\pi\) |
0.485784 | + | 0.874079i | \(0.338534\pi\) | |||||||
\(432\) | −4.20087 | − | 3.05822i | −0.202114 | − | 0.147139i | ||||
\(433\) | 2.76808 | − | 31.6393i | 0.133025 | − | 1.52049i | −0.577253 | − | 0.816566i | \(-0.695875\pi\) |
0.710278 | − | 0.703921i | \(-0.248569\pi\) | |||||||
\(434\) | −1.93816 | + | 10.9918i | −0.0930345 | + | 0.527625i | ||||
\(435\) | 9.46143 | − | 8.95145i | 0.453641 | − | 0.429189i | ||||
\(436\) | −3.44887 | −0.165171 | ||||||||
\(437\) | −20.3101 | + | 15.0126i | −0.971566 | + | 0.718152i | ||||
\(438\) | 7.45771 | − | 4.53706i | 0.356343 | − | 0.216789i | ||||
\(439\) | 6.39402 | + | 17.5674i | 0.305170 | + | 0.838448i | 0.993581 | + | 0.113127i | \(0.0360866\pi\) |
−0.688411 | + | 0.725321i | \(0.741691\pi\) | |||||||
\(440\) | 8.70330 | − | 4.45338i | 0.414913 | − | 0.212307i | ||||
\(441\) | 7.77806 | − | 1.74293i | 0.370384 | − | 0.0829966i | ||||
\(442\) | 2.03804 | + | 23.2949i | 0.0969396 | + | 1.10803i | ||||
\(443\) | 15.9453 | − | 22.7723i | 0.757586 | − | 1.08194i | −0.236316 | − | 0.971676i | \(-0.575940\pi\) |
0.993902 | − | 0.110269i | \(-0.0351711\pi\) | |||||||
\(444\) | 0.981466 | + | 3.35306i | 0.0465783 | + | 0.159129i | ||||
\(445\) | 11.9132 | + | 9.27472i | 0.564739 | + | 0.439664i | ||||
\(446\) | 4.51362 | − | 12.4011i | 0.213726 | − | 0.587207i | ||||
\(447\) | 2.69168 | + | 13.4520i | 0.127312 | + | 0.636258i | ||||
\(448\) | −0.539376 | − | 2.01298i | −0.0254831 | − | 0.0951044i | ||||
\(449\) | −6.85828 | − | 11.8789i | −0.323662 | − | 0.560600i | 0.657578 | − | 0.753386i | \(-0.271581\pi\) |
−0.981241 | + | 0.192787i | \(0.938247\pi\) | |||||||
\(450\) | 14.6816 | − | 3.07436i | 0.692096 | − | 0.144927i | ||||
\(451\) | 8.18687 | + | 6.86960i | 0.385504 | + | 0.323477i | ||||
\(452\) | −0.627665 | + | 7.17425i | −0.0295229 | + | 0.337448i | ||||
\(453\) | 17.6649 | − | 6.89263i | 0.829968 | − | 0.323844i | ||||
\(454\) | 4.06346 | + | 11.1643i | 0.190708 | + | 0.523965i | ||||
\(455\) | −2.52338 | + | 18.1811i | −0.118298 | + | 0.852344i | ||||
\(456\) | 1.59729 | − | 7.37893i | 0.0748000 | − | 0.345550i | ||||
\(457\) | −15.3914 | − | 15.3914i | −0.719978 | − | 0.719978i | 0.248623 | − | 0.968600i | \(-0.420022\pi\) |
−0.968600 | + | 0.248623i | \(0.920022\pi\) | |||||||
\(458\) | −18.4438 | − | 8.60051i | −0.861824 | − | 0.401875i | ||||
\(459\) | 19.3900 | + | 23.9912i | 0.905046 | + | 1.11981i | ||||
\(460\) | 12.6291 | + | 2.89284i | 0.588836 | + | 0.134880i | ||||
\(461\) | 2.69436 | − | 3.21101i | 0.125489 | − | 0.149552i | −0.699642 | − | 0.714494i | \(-0.746657\pi\) |
0.825130 | + | 0.564942i | \(0.191102\pi\) | |||||||
\(462\) | 10.4191 | + | 11.8535i | 0.484741 | + | 0.551474i | ||||
\(463\) | −9.59628 | − | 2.57131i | −0.445977 | − | 0.119499i | 0.0288395 | − | 0.999584i | \(-0.490819\pi\) |
−0.474816 | + | 0.880085i | \(0.657485\pi\) | |||||||
\(464\) | −1.68150 | + | 2.91245i | −0.0780618 | + | 0.135207i | ||||
\(465\) | 20.7061 | − | 1.23506i | 0.960220 | − | 0.0572747i | ||||
\(466\) | −28.3326 | − | 10.3122i | −1.31248 | − | 0.477705i | ||||
\(467\) | 0.648395 | + | 2.41984i | 0.0300042 | + | 0.111977i | 0.979304 | − | 0.202395i | \(-0.0648726\pi\) |
−0.949300 | + | 0.314372i | \(0.898206\pi\) | |||||||
\(468\) | −8.73048 | − | 7.96355i | −0.403567 | − | 0.368115i | ||||
\(469\) | −31.4813 | + | 5.55100i | −1.45367 | + | 0.256321i | ||||
\(470\) | −4.71766 | − | 5.22144i | −0.217609 | − | 0.240847i | ||||
\(471\) | 18.8637 | + | 38.1425i | 0.869196 | + | 1.75751i | ||||
\(472\) | −3.98972 | + | 2.79363i | −0.183642 | + | 0.128587i | ||||
\(473\) | −9.47295 | − | 4.41731i | −0.435567 | − | 0.203108i | ||||
\(474\) | −0.995473 | + | 4.08830i | −0.0457236 | + | 0.187782i | ||||
\(475\) | 12.7079 | + | 17.7062i | 0.583078 | + | 0.812416i | ||||
\(476\) | 12.3717i | 0.567056i | ||||||||
\(477\) | 29.5363 | − | 22.7710i | 1.35238 | − | 1.04261i | ||||
\(478\) | −3.13734 | − | 4.48058i | −0.143498 | − | 0.204937i | ||||
\(479\) | −4.78323 | + | 4.01360i | −0.218551 | + | 0.183386i | −0.745490 | − | 0.666517i | \(-0.767784\pi\) |
0.526938 | + | 0.849903i | \(0.323340\pi\) | |||||||
\(480\) | −3.40643 | + | 1.84289i | −0.155482 | + | 0.0841159i | ||||
\(481\) | 1.37970 | + | 7.82465i | 0.0629088 | + | 0.356773i | ||||
\(482\) | −5.07320 | − | 1.35936i | −0.231078 | − | 0.0619171i | ||||
\(483\) | 0.480034 | + | 20.9091i | 0.0218423 | + | 0.951396i | ||||
\(484\) | 2.77583 | − | 7.62654i | 0.126174 | − | 0.346661i | ||||
\(485\) | −24.3101 | + | 7.47798i | −1.10386 | + | 0.339558i | ||||
\(486\) | −15.4203 | − | 2.28370i | −0.699478 | − | 0.103591i | ||||
\(487\) | 1.65561 | − | 6.17883i | 0.0750229 | − | 0.279989i | −0.918216 | − | 0.396081i | \(-0.870370\pi\) |
0.993239 | + | 0.116092i | \(0.0370366\pi\) | |||||||
\(488\) | 4.54972 | − | 6.49767i | 0.205956 | − | 0.294136i | ||||
\(489\) | 1.65524 | + | 2.25208i | 0.0748525 | + | 0.101843i | ||||
\(490\) | 1.32654 | − | 5.79121i | 0.0599270 | − | 0.261620i | ||||
\(491\) | −35.6958 | − | 6.29414i | −1.61093 | − | 0.284050i | −0.705552 | − | 0.708658i | \(-0.749301\pi\) |
−0.905378 | + | 0.424607i | \(0.860412\pi\) | |||||||
\(492\) | −3.30485 | − | 2.64625i | −0.148994 | − | 0.119302i | ||||
\(493\) | 14.1171 | − | 14.1171i | 0.635803 | − | 0.635803i | ||||
\(494\) | 5.45632 | − | 16.2795i | 0.245492 | − | 0.732451i | ||||
\(495\) | 16.9363 | − | 23.9454i | 0.761230 | − | 1.07627i | ||||
\(496\) | −5.03279 | + | 1.83179i | −0.225979 | + | 0.0822496i | ||||
\(497\) | −14.3958 | − | 20.5594i | −0.645740 | − | 0.922213i | ||||
\(498\) | −3.94085 | − | 1.33274i | −0.176594 | − | 0.0597215i | ||||
\(499\) | −3.24339 | + | 3.86532i | −0.145194 | + | 0.173035i | −0.833740 | − | 0.552157i | \(-0.813805\pi\) |
0.688546 | + | 0.725193i | \(0.258249\pi\) | |||||||
\(500\) | 2.64888 | − | 10.8620i | 0.118462 | − | 0.485764i | ||||
\(501\) | −9.16388 | − | 31.3072i | −0.409412 | − | 1.39870i | ||||
\(502\) | −25.4423 | + | 6.81726i | −1.13555 | + | 0.304269i | ||||
\(503\) | 2.56918 | + | 5.50963i | 0.114554 | + | 0.245662i | 0.955223 | − | 0.295888i | \(-0.0956154\pi\) |
−0.840668 | + | 0.541550i | \(0.817838\pi\) | |||||||
\(504\) | −4.23425 | − | 4.59982i | −0.188608 | − | 0.204892i | ||||
\(505\) | 12.4501 | − | 15.9919i | 0.554024 | − | 0.711632i | ||||
\(506\) | 21.9393 | − | 12.6666i | 0.975319 | − | 0.563101i | ||||
\(507\) | −2.87648 | − | 3.27248i | −0.127749 | − | 0.145336i | ||||
\(508\) | −18.5564 | + | 1.62347i | −0.823306 | + | 0.0720299i | ||||
\(509\) | −14.5783 | + | 12.2327i | −0.646173 | + | 0.542203i | −0.905907 | − | 0.423477i | \(-0.860809\pi\) |
0.259734 | + | 0.965680i | \(0.416365\pi\) | |||||||
\(510\) | 22.3649 | − | 5.33365i | 0.990336 | − | 0.236178i | ||||
\(511\) | 9.86973 | − | 3.59229i | 0.436611 | − | 0.158913i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −6.02088 | − | 21.8346i | −0.265829 | − | 0.964020i | ||||
\(514\) | 17.0049i | 0.750054i | ||||||||
\(515\) | −3.09365 | − | 2.00150i | −0.136323 | − | 0.0881968i | ||||
\(516\) | 3.79191 | + | 1.66333i | 0.166929 | + | 0.0732242i | ||||
\(517\) | −13.7071 | − | 1.19922i | −0.602839 | − | 0.0527416i | ||||
\(518\) | 0.366372 | + | 4.18765i | 0.0160975 | + | 0.183995i | ||||
\(519\) | −27.9967 | − | 1.80302i | −1.22892 | − | 0.0791439i | ||||
\(520\) | −8.16078 | + | 3.31347i | −0.357874 | + | 0.145305i | ||||
\(521\) | −26.5534 | − | 15.3306i | −1.16333 | − | 0.671647i | −0.211228 | − | 0.977437i | \(-0.567746\pi\) |
−0.952099 | + | 0.305789i | \(0.901080\pi\) | |||||||
\(522\) | −0.417145 | + | 10.0804i | −0.0182579 | + | 0.441207i | ||||
\(523\) | 12.6413 | − | 5.89475i | 0.552767 | − | 0.257759i | −0.126104 | − | 0.992017i | \(-0.540247\pi\) |
0.678871 | + | 0.734258i | \(0.262470\pi\) | |||||||
\(524\) | −2.26337 | + | 3.92027i | −0.0988757 | + | 0.171258i | ||||
\(525\) | 18.0472 | − | 0.161223i | 0.787643 | − | 0.00703636i | ||||
\(526\) | −3.67037 | − | 20.8157i | −0.160036 | − | 0.907608i | ||||
\(527\) | 31.6738 | − | 2.77110i | 1.37973 | − | 0.120711i | ||||
\(528\) | −2.42605 | + | 7.17372i | −0.105580 | + | 0.312196i | ||||
\(529\) | 10.4121 | + | 1.83593i | 0.452699 | + | 0.0798230i | ||||
\(530\) | −5.82619 | − | 27.1806i | −0.253073 | − | 1.18065i | ||||
\(531\) | −6.71741 | + | 12.9760i | −0.291511 | + | 0.563111i | ||||
\(532\) | 3.62646 | − | 8.32863i | 0.157227 | − | 0.361092i | ||||
\(533\) | −6.80821 | − | 6.80821i | −0.294896 | − | 0.294896i | ||||
\(534\) | −11.6238 | + | 1.28639i | −0.503009 | + | 0.0556676i | ||||
\(535\) | −16.4216 | + | 8.40278i | −0.709970 | + | 0.363284i | ||||
\(536\) | −9.85990 | − | 11.7506i | −0.425883 | − | 0.507548i | ||||
\(537\) | −5.04448 | + | 33.0243i | −0.217686 | + | 1.42511i | ||||
\(538\) | −7.19928 | − | 5.04099i | −0.310383 | − | 0.217333i | ||||
\(539\) | −5.80841 | − | 10.0605i | −0.250186 | − | 0.433335i | ||||
\(540\) | −6.48986 | + | 9.63752i | −0.279279 | + | 0.414733i | ||||
\(541\) | −4.90101 | − | 1.78382i | −0.210711 | − | 0.0766925i | 0.234508 | − | 0.972114i | \(-0.424652\pi\) |
−0.445219 | + | 0.895422i | \(0.646874\pi\) | |||||||
\(542\) | 17.4535 | − | 8.13872i | 0.749694 | − | 0.349588i | ||||
\(543\) | −23.8074 | + | 0.546573i | −1.02167 | + | 0.0234557i | ||||
\(544\) | −5.14120 | + | 2.96827i | −0.220427 | + | 0.127264i | ||||
\(545\) | 0.282368 | + | 7.70674i | 0.0120953 | + | 0.330120i | ||||
\(546\) | −8.42029 | − | 11.4565i | −0.360355 | − | 0.490292i | ||||
\(547\) | −9.53609 | − | 0.834300i | −0.407734 | − | 0.0356721i | −0.118556 | − | 0.992947i | \(-0.537826\pi\) |
−0.289178 | + | 0.957275i | \(0.593382\pi\) | |||||||
\(548\) | 5.57971 | − | 3.90696i | 0.238353 | − | 0.166897i | ||||
\(549\) | 3.05240 | − | 23.6000i | 0.130273 | − | 1.00722i | ||||
\(550\) | −10.6639 | − | 19.0835i | −0.454712 | − | 0.813723i | ||||
\(551\) | −13.6417 | + | 5.36556i | −0.581158 | + | 0.228581i | ||||
\(552\) | −8.57383 | + | 5.21608i | −0.364926 | + | 0.222011i | ||||
\(553\) | −2.13960 | + | 4.58839i | −0.0909852 | + | 0.195118i | ||||
\(554\) | −0.671127 | + | 3.80615i | −0.0285135 | + | 0.161708i | ||||
\(555\) | 7.41228 | − | 2.46768i | 0.314634 | − | 0.104747i | ||||
\(556\) | 2.39114 | + | 2.00640i | 0.101407 | + | 0.0850904i | ||||
\(557\) | −2.74252 | − | 1.92033i | −0.116204 | − | 0.0813672i | 0.514030 | − | 0.857772i | \(-0.328152\pi\) |
−0.630234 | + | 0.776405i | \(0.717041\pi\) | |||||||
\(558\) | −10.8280 | + | 11.8708i | −0.458384 | + | 0.502529i | ||||
\(559\) | 8.15501 | + | 4.70830i | 0.344920 | + | 0.199140i | ||||
\(560\) | −4.45398 | + | 1.37008i | −0.188215 | + | 0.0578965i | ||||
\(561\) | 24.9340 | − | 37.4084i | 1.05271 | − | 1.57938i | ||||
\(562\) | 14.1123 | − | 3.78139i | 0.595293 | − | 0.159508i | ||||
\(563\) | 6.41133 | − | 23.9274i | 0.270205 | − | 1.00842i | −0.688781 | − | 0.724969i | \(-0.741854\pi\) |
0.958987 | − | 0.283451i | \(-0.0914794\pi\) | |||||||
\(564\) | 5.43959 | + | 0.350316i | 0.229048 | + | 0.0147510i | ||||
\(565\) | 16.0827 | + | 0.815186i | 0.676606 | + | 0.0342951i | ||||
\(566\) | 16.6379 | + | 19.8283i | 0.699344 | + | 0.833445i | ||||
\(567\) | −17.6538 | − | 6.33464i | −0.741390 | − | 0.266030i | ||||
\(568\) | 5.08976 | − | 10.9150i | 0.213562 | − | 0.457984i | ||||
\(569\) | 1.81030 | 0.0758915 | 0.0379458 | − | 0.999280i | \(-0.487919\pi\) | ||||
0.0379458 | + | 0.999280i | \(0.487919\pi\) | |||||||
\(570\) | −16.6195 | − | 2.96512i | −0.696115 | − | 0.124195i | ||||
\(571\) | 5.11268 | 0.213959 | 0.106980 | − | 0.994261i | \(-0.465882\pi\) | ||||
0.106980 | + | 0.994261i | \(0.465882\pi\) | |||||||
\(572\) | −7.27829 | + | 15.6084i | −0.304321 | + | 0.652618i | ||||
\(573\) | −12.1625 | − | 31.1708i | −0.508095 | − | 1.30218i | ||||
\(574\) | −3.27438 | − | 3.90225i | −0.136670 | − | 0.162877i | ||||
\(575\) | 5.43028 | − | 28.4575i | 0.226458 | − | 1.18676i | ||||
\(576\) | 0.895606 | − | 2.86320i | 0.0373169 | − | 0.119300i | ||||
\(577\) | −5.54401 | + | 20.6905i | −0.230800 | + | 0.861358i | 0.749197 | + | 0.662347i | \(0.230440\pi\) |
−0.979997 | + | 0.199011i | \(0.936227\pi\) | |||||||
\(578\) | 17.6209 | − | 4.72152i | 0.732935 | − | 0.196389i | ||||
\(579\) | −34.7697 | − | 23.1752i | −1.44498 | − | 0.963129i | ||||
\(580\) | 6.64574 | + | 3.51898i | 0.275949 | + | 0.146118i | ||||
\(581\) | −4.33481 | − | 2.50270i | −0.179838 | − | 0.103830i | ||||
\(582\) | 9.45644 | − | 17.2834i | 0.391982 | − | 0.716420i | ||||
\(583\) | −44.5238 | − | 31.1759i | −1.84399 | − | 1.29117i | ||||
\(584\) | 3.86080 | + | 3.23960i | 0.159761 | + | 0.134056i | ||||
\(585\) | −17.0803 | + | 20.1609i | −0.706184 | + | 0.833549i | ||||
\(586\) | 0.543014 | − | 3.07959i | 0.0224317 | − | 0.127217i | ||||
\(587\) | −3.94960 | + | 8.46995i | −0.163017 | + | 0.349592i | −0.970801 | − | 0.239888i | \(-0.922889\pi\) |
0.807783 | + | 0.589480i | \(0.200667\pi\) | |||||||
\(588\) | 2.39188 | + | 3.93161i | 0.0986396 | + | 0.162137i | ||||
\(589\) | −22.1351 | − | 7.41891i | −0.912062 | − | 0.305691i | ||||
\(590\) | 6.56921 | + | 8.68658i | 0.270450 | + | 0.357621i | ||||
\(591\) | 46.9011 | − | 5.19051i | 1.92925 | − | 0.213509i | ||||
\(592\) | −1.65232 | + | 1.15697i | −0.0679101 | + | 0.0475512i | ||||
\(593\) | 15.4860 | + | 1.35485i | 0.635935 | + | 0.0556371i | 0.400564 | − | 0.916269i | \(-0.368814\pi\) |
0.235370 | + | 0.971906i | \(0.424370\pi\) | |||||||
\(594\) | 3.53262 | + | 22.4422i | 0.144945 | + | 0.920815i | ||||
\(595\) | 27.6454 | − | 1.01290i | 1.13335 | − | 0.0415250i | ||||
\(596\) | −6.85933 | + | 3.96023i | −0.280969 | + | 0.162218i | ||||
\(597\) | 0.372108 | + | 16.2081i | 0.0152294 | + | 0.663353i | ||||
\(598\) | −20.6848 | + | 9.64549i | −0.845865 | + | 0.394433i | ||||
\(599\) | −12.0540 | − | 4.38730i | −0.492513 | − | 0.179260i | 0.0838105 | − | 0.996482i | \(-0.473291\pi\) |
−0.576324 | + | 0.817222i | \(0.695513\pi\) | |||||||
\(600\) | 4.39695 | + | 7.46102i | 0.179505 | + | 0.304595i | ||||
\(601\) | −7.99821 | − | 13.8533i | −0.326254 | − | 0.565088i | 0.655512 | − | 0.755185i | \(-0.272453\pi\) |
−0.981765 | + | 0.190097i | \(0.939120\pi\) | |||||||
\(602\) | 4.08105 | + | 2.85758i | 0.166331 | + | 0.116466i | ||||
\(603\) | −42.5549 | − | 17.5135i | −1.73297 | − | 0.713205i | ||||
\(604\) | 7.03704 | + | 8.38642i | 0.286333 | + | 0.341239i | ||||
\(605\) | −17.2693 | − | 5.57838i | −0.702096 | − | 0.226793i | ||||
\(606\) | 1.72682 | + | 15.6034i | 0.0701471 | + | 0.633846i | ||||
\(607\) | 27.7267 | + | 27.7267i | 1.12539 | + | 1.12539i | 0.990917 | + | 0.134474i | \(0.0429345\pi\) |
0.134474 | + | 0.990917i | \(0.457066\pi\) | |||||||
\(608\) | 4.33113 | − | 0.491224i | 0.175651 | − | 0.0199218i | ||||
\(609\) | −2.87186 | + | 11.7944i | −0.116374 | + | 0.477934i | ||||
\(610\) | −14.8920 | − | 9.63468i | −0.602959 | − | 0.390097i | ||||
\(611\) | 12.2078 | + | 2.15257i | 0.493876 | + | 0.0870836i | ||||
\(612\) | −9.53491 | + | 15.0422i | −0.385426 | + | 0.608046i | ||||
\(613\) | 19.7818 | − | 1.73069i | 0.798981 | − | 0.0699018i | 0.319650 | − | 0.947536i | \(-0.396435\pi\) |
0.479331 | + | 0.877634i | \(0.340879\pi\) | |||||||
\(614\) | −1.45004 | − | 8.22360i | −0.0585190 | − | 0.331878i | ||||
\(615\) | −5.64265 | + | 7.60158i | −0.227534 | + | 0.306525i | ||||
\(616\) | −4.55579 | + | 7.89087i | −0.183558 | + | 0.317932i | ||||
\(617\) | 15.6192 | − | 7.28337i | 0.628807 | − | 0.293218i | −0.0819700 | − | 0.996635i | \(-0.526121\pi\) |
0.710777 | + | 0.703417i | \(0.248343\pi\) | |||||||
\(618\) | 2.79865 | − | 0.559996i | 0.112578 | − | 0.0225263i | ||||
\(619\) | 30.8682 | + | 17.8217i | 1.24070 | + | 0.716316i | 0.969236 | − | 0.246133i | \(-0.0791602\pi\) |
0.271460 | + | 0.962450i | \(0.412493\pi\) | |||||||
\(620\) | 4.50530 | + | 11.0961i | 0.180937 | + | 0.445632i | ||||
\(621\) | −15.5310 | + | 25.7924i | −0.623240 | + | 1.03501i | ||||
\(622\) | 1.22240 | + | 13.9721i | 0.0490139 | + | 0.560232i | ||||
\(623\) | −14.0175 | − | 1.22637i | −0.561598 | − | 0.0491334i | ||||
\(624\) | 2.74063 | − | 6.24783i | 0.109713 | − | 0.250114i | ||||
\(625\) | −24.4888 | − | 5.02980i | −0.979552 | − | 0.201192i | ||||
\(626\) | − | 27.5127i | − | 1.09963i | ||||||
\(627\) | −27.7509 | + | 17.8745i | −1.10826 | + | 0.713840i | ||||
\(628\) | −17.3719 | + | 17.3719i | −0.693213 | + | 0.693213i | ||||
\(629\) | 11.2525 | − | 4.09559i | 0.448668 | − | 0.163302i | ||||
\(630\) | −9.93194 | + | 9.83831i | −0.395698 | + | 0.391968i | ||||
\(631\) | 33.1656 | − | 27.8293i | 1.32030 | − | 1.10786i | 0.334061 | − | 0.942551i | \(-0.391581\pi\) |
0.986241 | − | 0.165314i | \(-0.0528636\pi\) | |||||||
\(632\) | −2.42010 | + | 0.211731i | −0.0962664 | + | 0.00842222i | ||||
\(633\) | 8.67841 | − | 7.62824i | 0.344936 | − | 0.303195i | ||||
\(634\) | 18.3799 | − | 10.6117i | 0.729961 | − | 0.421443i | ||||
\(635\) | 5.14702 | + | 41.3326i | 0.204253 | + | 1.64023i | ||||
\(636\) | 17.9170 | + | 11.9423i | 0.710456 | + | 0.473543i | ||||
\(637\) | 4.42303 | + | 9.48522i | 0.175247 | + | 0.375818i | ||||
\(638\) | 14.2027 | − | 3.80559i | 0.562289 | − | 0.150665i | ||||
\(639\) | −1.65809 | − | 36.0921i | −0.0655931 | − | 1.42778i | ||||
\(640\) | −1.63797 | − | 1.52219i | −0.0647465 | − | 0.0601697i | ||||
\(641\) | −6.51298 | + | 7.76186i | −0.257247 | + | 0.306575i | −0.879175 | − | 0.476500i | \(-0.841905\pi\) |
0.621928 | + | 0.783075i | \(0.286350\pi\) | |||||||
\(642\) | 4.57755 | − | 13.5356i | 0.180662 | − | 0.534207i | ||||
\(643\) | −8.92612 | − | 12.7478i | −0.352012 | − | 0.502725i | 0.603627 | − | 0.797267i | \(-0.293722\pi\) |
−0.955638 | + | 0.294542i | \(0.904833\pi\) | |||||||
\(644\) | −11.3468 | + | 4.12991i | −0.447128 | + | 0.162741i | ||||
\(645\) | 3.40638 | − | 8.60946i | 0.134126 | − | 0.338997i | ||||
\(646\) | −25.5906 | − | 3.83794i | −1.00685 | − | 0.151002i | ||||
\(647\) | 8.96022 | − | 8.96022i | 0.352263 | − | 0.352263i | −0.508688 | − | 0.860951i | \(-0.669869\pi\) |
0.860951 | + | 0.508688i | \(0.169869\pi\) | |||||||
\(648\) | −1.60315 | − | 8.85607i | −0.0629775 | − | 0.347899i | ||||
\(649\) | 20.9714 | + | 3.69783i | 0.823200 | + | 0.145152i | ||||
\(650\) | 8.07233 | + | 17.9645i | 0.316623 | + | 0.704628i | ||||
\(651\) | −15.5773 | + | 11.4490i | −0.610521 | + | 0.448721i | ||||
\(652\) | −0.925557 | + | 1.32183i | −0.0362476 | + | 0.0517670i | ||||
\(653\) | −5.38657 | + | 20.1030i | −0.210793 | + | 0.786690i | 0.776812 | + | 0.629732i | \(0.216835\pi\) |
−0.987605 | + | 0.156958i | \(0.949831\pi\) | |||||||
\(654\) | −4.31982 | − | 4.12592i | −0.168918 | − | 0.161336i | ||||
\(655\) | 8.94542 | + | 4.73669i | 0.349526 | + | 0.185078i | ||||
\(656\) | 0.836021 | − | 2.29695i | 0.0326411 | − | 0.0896807i | ||||
\(657\) | 14.7688 | + | 3.23892i | 0.576184 | + | 0.126362i | ||||
\(658\) | 6.33496 | + | 1.69745i | 0.246962 | + | 0.0661733i | ||||
\(659\) | −2.39202 | − | 13.5658i | −0.0931801 | − | 0.528450i | −0.995290 | − | 0.0969438i | \(-0.969093\pi\) |
0.902110 | − | 0.431507i | \(-0.142018\pi\) | |||||||
\(660\) | 16.2288 | + | 4.83385i | 0.631705 | + | 0.188157i | ||||
\(661\) | −8.46126 | + | 7.09984i | −0.329105 | + | 0.276152i | −0.792335 | − | 0.610086i | \(-0.791135\pi\) |
0.463230 | + | 0.886238i | \(0.346690\pi\) | |||||||
\(662\) | −12.6482 | − | 18.0635i | −0.491586 | − | 0.702058i | ||||
\(663\) | −25.3152 | + | 31.6157i | −0.983163 | + | 1.22785i | ||||
\(664\) | − | 2.40184i | − | 0.0932094i | ||||||
\(665\) | −18.9078 | − | 7.42169i | −0.733213 | − | 0.287801i | ||||
\(666\) | −2.78198 | + | 5.37395i | −0.107800 | + | 0.208236i | ||||
\(667\) | 17.6602 | + | 8.23510i | 0.683807 | + | 0.318864i | ||||
\(668\) | 15.4276 | − | 10.8025i | 0.596913 | − | 0.417963i | ||||
\(669\) | 20.4890 | − | 10.1330i | 0.792150 | − | 0.391766i | ||||
\(670\) | −25.4502 | + | 22.9947i | −0.983227 | + | 0.888362i | ||||
\(671\) | −34.1541 | + | 6.02229i | −1.31851 | + | 0.232488i | ||||
\(672\) | 1.73257 | − | 3.16659i | 0.0668352 | − | 0.122154i | ||||
\(673\) | 5.12645 | + | 19.1322i | 0.197610 | + | 0.737491i | 0.991576 | + | 0.129528i | \(0.0413462\pi\) |
−0.793966 | + | 0.607962i | \(0.791987\pi\) | |||||||
\(674\) | −18.8689 | − | 6.86772i | −0.726803 | − | 0.264535i | ||||
\(675\) | 22.0670 | + | 13.7130i | 0.849361 | + | 0.527813i | ||||
\(676\) | 1.25775 | − | 2.17849i | 0.0483750 | − | 0.0837880i | ||||
\(677\) | 33.4492 | + | 8.96269i | 1.28556 | + | 0.344464i | 0.835971 | − | 0.548773i | \(-0.184905\pi\) |
0.449586 | + | 0.893237i | \(0.351572\pi\) | |||||||
\(678\) | −9.36881 | + | 8.23510i | −0.359807 | + | 0.316267i | ||||
\(679\) | 15.2369 | − | 18.1586i | 0.584739 | − | 0.696865i | ||||
\(680\) | 7.05373 | + | 11.2453i | 0.270498 | + | 0.431239i | ||||
\(681\) | −8.26633 | + | 18.8448i | −0.316767 | + | 0.722134i | ||||
\(682\) | 21.2225 | + | 9.89623i | 0.812653 | + | 0.378946i | ||||
\(683\) | −1.97078 | − | 1.97078i | −0.0754097 | − | 0.0754097i | 0.668396 | − | 0.743806i | \(-0.266981\pi\) |
−0.743806 | + | 0.668396i | \(0.766981\pi\) | |||||||
\(684\) | 10.8282 | − | 7.33150i | 0.414025 | − | 0.280327i | ||||
\(685\) | −9.18719 | − | 12.1484i | −0.351024 | − | 0.464166i | ||||
\(686\) | 6.88318 | + | 18.9114i | 0.262801 | + | 0.722040i | ||||
\(687\) | −12.8126 | − | 32.8370i | −0.488833 | − | 1.25281i | ||||
\(688\) | −0.208357 | + | 2.38153i | −0.00794352 | + | 0.0907948i | ||||
\(689\) | 37.5116 | + | 31.4760i | 1.42908 | + | 1.19914i | ||||
\(690\) | 12.3577 | + | 18.7318i | 0.470448 | + | 0.713106i | ||||
\(691\) | 1.34383 | + | 2.32758i | 0.0511217 | + | 0.0885453i | 0.890454 | − | 0.455074i | \(-0.150387\pi\) |
−0.839332 | + | 0.543619i | \(0.817054\pi\) | |||||||
\(692\) | −4.19220 | − | 15.6455i | −0.159363 | − | 0.594752i | ||||
\(693\) | −1.13020 | + | 27.3114i | −0.0429326 | + | 1.03747i | ||||
\(694\) | −8.57968 | + | 23.5725i | −0.325680 | + | 0.894799i | ||||
\(695\) | 4.28767 | − | 5.50743i | 0.162641 | − | 0.208909i | ||||
\(696\) | −5.59033 | + | 1.63634i | −0.211901 | + | 0.0620251i | ||||
\(697\) | −8.32320 | + | 11.8868i | −0.315264 | + | 0.450243i | ||||
\(698\) | 1.74892 | + | 19.9902i | 0.0661976 | + | 0.756642i | ||||
\(699\) | −23.1509 | − | 46.8111i | −0.875648 | − | 1.77056i | ||||
\(700\) | 3.42620 | + | 9.84056i | 0.129498 | + | 0.371938i | ||||
\(701\) | −10.7622 | − | 29.5688i | −0.406481 | − | 1.11680i | −0.959027 | − | 0.283316i | \(-0.908566\pi\) |
0.552545 | − | 0.833483i | \(-0.313657\pi\) | |||||||
\(702\) | −1.40833 | − | 20.4190i | −0.0531539 | − | 0.770665i | ||||
\(703\) | −8.77573 | − | 0.541256i | −0.330983 | − | 0.0204139i | ||||
\(704\) | −4.37218 | −0.164783 | ||||||||
\(705\) | 0.337451 | − | 12.1838i | 0.0127091 | − | 0.458869i | ||||
\(706\) | −4.95302 | + | 28.0900i | −0.186409 | + | 1.05718i | ||||
\(707\) | −1.64624 | + | 18.8167i | −0.0619134 | + | 0.707673i | ||||
\(708\) | −8.33931 | − | 1.27383i | −0.313411 | − | 0.0478736i | ||||
\(709\) | 2.52012 | − | 0.444365i | 0.0946450 | − | 0.0166885i | −0.126125 | − | 0.992014i | \(-0.540254\pi\) |
0.220770 | + | 0.975326i | \(0.429143\pi\) | |||||||
\(710\) | −24.8071 | − | 10.4798i | −0.930993 | − | 0.393299i | ||||
\(711\) | −6.13774 | + | 3.92983i | −0.230183 | + | 0.147380i | ||||
\(712\) | −2.85350 | − | 6.11935i | −0.106939 | − | 0.229332i | ||||
\(713\) | 13.1149 | + | 28.1249i | 0.491156 | + | 1.05329i | ||||
\(714\) | −14.8004 | + | 15.4960i | −0.553891 | + | 0.579922i | ||||
\(715\) | 35.4738 | + | 14.9859i | 1.32665 | + | 0.560443i | ||||
\(716\) | −18.9947 | + | 3.34929i | −0.709867 | + | 0.125169i | ||||
\(717\) | 1.43055 | − | 9.36530i | 0.0534250 | − | 0.349754i | ||||
\(718\) | −2.03739 | + | 23.2875i | −0.0760347 | + | 0.869081i | ||||
\(719\) | −5.89838 | + | 33.4514i | −0.219973 | + | 1.24753i | 0.652094 | + | 0.758138i | \(0.273891\pi\) |
−0.872066 | + | 0.489388i | \(0.837220\pi\) | |||||||
\(720\) | −6.47133 | − | 1.76688i | −0.241172 | − | 0.0658476i | ||||
\(721\) | 3.43406 | 0.127891 | ||||||||
\(722\) | 16.1026 | + | 10.0850i | 0.599277 | + | 0.375323i | ||||
\(723\) | −4.72813 | − | 7.77177i | −0.175841 | − | 0.289035i | ||||
\(724\) | −4.70237 | − | 12.9197i | −0.174762 | − | 0.480155i | ||||
\(725\) | 7.31931 | − | 15.1385i | 0.271832 | − | 0.562228i | ||||
\(726\) | 12.6005 | − | 6.23172i | 0.467650 | − | 0.231281i | ||||
\(727\) | 0.532980 | + | 6.09199i | 0.0197671 | + | 0.225940i | 0.999652 | + | 0.0263762i | \(0.00839679\pi\) |
−0.979885 | + | 0.199563i | \(0.936048\pi\) | |||||||
\(728\) | 4.70836 | − | 6.72424i | 0.174504 | − | 0.249217i | ||||
\(729\) | −16.5824 | − | 21.3079i | −0.614162 | − | 0.789180i | ||||
\(730\) | 6.92301 | − | 8.89246i | 0.256232 | − | 0.329125i | ||||
\(731\) | 4.85396 | − | 13.3362i | 0.179530 | − | 0.493255i | ||||
\(732\) | 13.4719 | − | 2.69567i | 0.497936 | − | 0.0996346i | ||||
\(733\) | −0.525452 | − | 1.96101i | −0.0194080 | − | 0.0724317i | 0.955543 | − | 0.294853i | \(-0.0952707\pi\) |
−0.974951 | + | 0.222421i | \(0.928604\pi\) | |||||||
\(734\) | −12.3861 | − | 21.4534i | −0.457179 | − | 0.791858i | ||||
\(735\) | 8.58963 | − | 5.66672i | 0.316833 | − | 0.209020i | ||||
\(736\) | −4.43861 | − | 3.72444i | −0.163609 | − | 0.137285i | ||||
\(737\) | −5.84520 | + | 66.8110i | −0.215311 | + | 2.46101i | ||||
\(738\) | −0.973697 | − | 7.26815i | −0.0358423 | − | 0.267544i | ||||
\(739\) | 11.4749 | + | 31.5271i | 0.422113 | + | 1.15974i | 0.950495 | + | 0.310739i | \(0.100576\pi\) |
−0.528383 | + | 0.849006i | \(0.677201\pi\) | |||||||
\(740\) | 2.72061 | + | 3.59751i | 0.100012 | + | 0.132247i | ||||
\(741\) | 26.3096 | − | 13.8632i | 0.966508 | − | 0.509277i | ||||
\(742\) | 18.3193 | + | 18.3193i | 0.672524 | + | 0.672524i | ||||
\(743\) | 4.09400 | + | 1.90906i | 0.150194 | + | 0.0700367i | 0.496262 | − | 0.868173i | \(-0.334706\pi\) |
−0.346068 | + | 0.938209i | \(0.612483\pi\) | |||||||
\(744\) | −8.49512 | − | 3.72641i | −0.311446 | − | 0.136617i | ||||
\(745\) | 9.41101 | + | 15.0034i | 0.344793 | + | 0.549682i | ||||
\(746\) | 3.12838 | − | 3.72825i | 0.114538 | − | 0.136501i | ||||
\(747\) | −3.34167 | − | 6.38378i | −0.122265 | − | 0.233570i | ||||
\(748\) | 25.0712 | + | 6.71782i | 0.916695 | + | 0.245628i | ||||
\(749\) | 8.59602 | − | 14.8887i | 0.314092 | − | 0.544023i | ||||
\(750\) | 16.3122 | − | 10.4361i | 0.595636 | − | 0.381074i | ||||
\(751\) | −20.5652 | − | 7.48512i | −0.750435 | − | 0.273136i | −0.0616459 | − | 0.998098i | \(-0.519635\pi\) |
−0.688789 | + | 0.724962i | \(0.741857\pi\) | |||||||
\(752\) | 0.814517 | + | 3.03982i | 0.0297024 | + | 0.110851i | ||||
\(753\) | −40.0229 | − | 21.8981i | −1.45852 | − | 0.798013i | ||||
\(754\) | −13.0455 | + | 2.30028i | −0.475091 | + | 0.0837713i | ||||
\(755\) | 18.1639 | − | 16.4114i | 0.661052 | − | 0.597271i | ||||
\(756\) | 0.199282 | − | 10.8269i | 0.00724781 | − | 0.393771i | ||||
\(757\) | −25.2525 | + | 17.6820i | −0.917816 | + | 0.642662i | −0.934025 | − | 0.357207i | \(-0.883729\pi\) |
0.0162091 | + | 0.999869i | \(0.494840\pi\) | |||||||
\(758\) | 7.16993 | + | 3.34339i | 0.260423 | + | 0.121437i | ||||
\(759\) | 42.6329 | + | 10.3808i | 1.54748 | + | 0.376800i | ||||
\(760\) | −1.45228 | − | 9.63799i | −0.0526796 | − | 0.349607i | ||||
\(761\) | 35.2823i | 1.27898i | 0.768799 | + | 0.639491i | \(0.220855\pi\) | ||||
−0.768799 | + | 0.639491i | \(0.779145\pi\) | |||||||
\(762\) | −25.1846 | − | 20.1658i | −0.912343 | − | 0.730528i | ||||
\(763\) | −4.12253 | − | 5.88758i | −0.149246 | − | 0.213145i | ||||
\(764\) | 14.7984 | − | 12.4173i | 0.535386 | − | 0.449242i | ||||
\(765\) | 34.3935 | + | 20.0749i | 1.24350 | + | 0.725808i | ||||
\(766\) | −3.79629 | − | 21.5298i | −0.137165 | − | 0.777904i | ||||
\(767\) | −18.5313 | − | 4.96543i | −0.669125 | − | 0.179291i | ||||
\(768\) | 1.73159 | − | 0.0397542i | 0.0624835 | − | 0.00143451i | ||||
\(769\) | 4.93257 | − | 13.5521i | 0.177873 | − | 0.488702i | −0.818430 | − | 0.574606i | \(-0.805155\pi\) |
0.996303 | + | 0.0859036i | \(0.0273777\pi\) | |||||||
\(770\) | 18.0057 | + | 9.53419i | 0.648880 | + | 0.343588i | ||||
\(771\) | −20.3432 | + | 21.2992i | −0.732641 | + | 0.767072i | ||||
\(772\) | 6.24397 | − | 23.3028i | 0.224725 | − | 0.838686i | ||||
\(773\) | −11.4891 | + | 16.4082i | −0.413235 | + | 0.590160i | −0.970776 | − | 0.239989i | \(-0.922856\pi\) |
0.557541 | + | 0.830149i | \(0.311745\pi\) | |||||||
\(774\) | 2.75962 | + | 6.61968i | 0.0991926 | + | 0.237940i | ||||
\(775\) | 24.4262 | − | 10.9759i | 0.877416 | − | 0.394265i | ||||
\(776\) | 11.2017 | + | 1.97517i | 0.402119 | + | 0.0709044i | ||||
\(777\) | −4.55085 | + | 5.68347i | −0.163261 | + | 0.203893i | ||||
\(778\) | 17.4461 | − | 17.4461i | 0.625475 | − | 0.625475i | ||||
\(779\) | 9.08749 | − | 5.56243i | 0.325593 | − | 0.199295i | ||||
\(780\) | −14.1856 | − | 5.61261i | −0.507926 | − | 0.200964i | ||||
\(781\) | −49.4804 | + | 18.0094i | −1.77055 | + | 0.644427i | ||||
\(782\) | 19.7296 | + | 28.1768i | 0.705529 | + | 1.00760i | ||||
\(783\) | −12.5818 | + | 12.1270i | −0.449636 | + | 0.433383i | ||||
\(784\) | −1.70788 | + | 2.03537i | −0.0609956 | + | 0.0726917i | ||||
\(785\) | 40.2409 | + | 37.3963i | 1.43626 | + | 1.33473i | ||||
\(786\) | −7.52481 | + | 2.20257i | −0.268401 | + | 0.0785631i | ||||
\(787\) | 21.0259 | − | 5.63388i | 0.749493 | − | 0.200826i | 0.136200 | − | 0.990681i | \(-0.456511\pi\) |
0.613293 | + | 0.789855i | \(0.289844\pi\) | |||||||
\(788\) | 11.5137 | + | 24.6912i | 0.410158 | + | 0.879587i | ||||
\(789\) | 20.3048 | − | 30.4633i | 0.722870 | − | 1.08452i | ||||
\(790\) | 0.671268 | + | 5.39055i | 0.0238827 | + | 0.191787i | ||||
\(791\) | −12.9975 | + | 7.50409i | −0.462137 | + | 0.266815i | ||||
\(792\) | −11.6207 | + | 6.08300i | −0.412924 | + | 0.216150i | ||||
\(793\) | 31.1258 | − | 2.72315i | 1.10531 | − | 0.0967021i | ||||
\(794\) | 12.5950 | − | 10.5685i | 0.446981 | − | 0.375062i | ||||
\(795\) | 25.2190 | − | 41.0145i | 0.894425 | − | 1.45464i | ||||
\(796\) | −8.79572 | + | 3.20138i | −0.311756 | + | 0.113470i | ||||
\(797\) | −28.0634 | + | 28.0634i | −0.994057 | + | 0.994057i | −0.999982 | − | 0.00592514i | \(-0.998114\pi\) |
0.00592514 | + | 0.999982i | \(0.498114\pi\) | |||||||
\(798\) | 14.5059 | − | 6.09350i | 0.513503 | − | 0.215708i | ||||
\(799\) | − | 18.6826i | − | 0.660943i | ||||||
\(800\) | −3.26732 | + | 3.78478i | −0.115517 | + | 0.133812i | ||||
\(801\) | −16.0981 | − | 12.2944i | −0.568797 | − | 0.434401i | ||||
\(802\) | 20.9569 | + | 1.83349i | 0.740015 | + | 0.0647429i | ||||
\(803\) | −1.92052 | − | 21.9516i | −0.0677735 | − | 0.774655i | ||||
\(804\) | 1.70750 | − | 26.5135i | 0.0602189 | − | 0.935059i | ||||
\(805\) | 10.1576 | + | 25.0171i | 0.358007 | + | 0.881739i | ||||
\(806\) | −18.2699 | − | 10.5481i | −0.643530 | − | 0.371542i | ||||
\(807\) | −2.98674 | − | 14.9266i | −0.105138 | − | 0.525441i | ||||
\(808\) | −8.21445 | + | 3.83046i | −0.288983 | + | 0.134755i | ||||
\(809\) | −9.99569 | + | 17.3130i | −0.351430 | + | 0.608694i | −0.986500 | − | 0.163760i | \(-0.947638\pi\) |
0.635070 | + | 0.772454i | \(0.280971\pi\) | |||||||
\(810\) | −19.6582 | + | 4.30741i | −0.690720 | + | 0.151347i | ||||
\(811\) | 2.20086 | + | 12.4817i | 0.0772827 | + | 0.438292i | 0.998757 | + | 0.0498518i | \(0.0158749\pi\) |
−0.921474 | + | 0.388440i | \(0.873014\pi\) | |||||||
\(812\) | −6.98180 | + | 0.610829i | −0.245013 | + | 0.0214359i | ||||
\(813\) | 31.5976 | + | 10.6859i | 1.10818 | + | 0.374770i | ||||
\(814\) | 8.68521 | + | 1.53144i | 0.304417 | + | 0.0536769i | ||||
\(815\) | 3.02950 | + | 1.96000i | 0.106119 | + | 0.0686558i | ||||
\(816\) | −9.99050 | − | 2.43262i | −0.349737 | − | 0.0851586i | ||||
\(817\) | −7.17686 | + | 7.55508i | −0.251086 | + | 0.264319i | ||||
\(818\) | −10.1794 | − | 10.1794i | −0.355913 | − | 0.355913i | ||||
\(819\) | 3.15883 | − | 24.4229i | 0.110378 | − | 0.853406i | ||||
\(820\) | −5.20113 | − | 1.68009i | −0.181632 | − | 0.0586712i | ||||
\(821\) | 31.1431 | + | 37.1149i | 1.08690 | + | 1.29532i | 0.952549 | + | 0.304385i | \(0.0984508\pi\) |
0.134352 | + | 0.990934i | \(0.457105\pi\) | |||||||
\(822\) | 11.6627 | + | 1.78148i | 0.406784 | + | 0.0621364i | ||||
\(823\) | 13.2684 | + | 9.29065i | 0.462508 | + | 0.323852i | 0.781499 | − | 0.623906i | \(-0.214455\pi\) |
−0.318991 | + | 0.947758i | \(0.603344\pi\) | |||||||
\(824\) | 0.823915 | + | 1.42706i | 0.0287024 | + | 0.0497141i | ||||
\(825\) | 9.47287 | − | 36.6601i | 0.329803 | − | 1.27634i | ||||
\(826\) | −9.53805 | − | 3.47157i | −0.331871 | − | 0.120791i | ||||
\(827\) | 36.1169 | − | 16.8416i | 1.25591 | − | 0.585639i | 0.323219 | − | 0.946324i | \(-0.395235\pi\) |
0.932688 | + | 0.360685i | \(0.117457\pi\) | |||||||
\(828\) | −16.9791 | − | 3.72366i | −0.590063 | − | 0.129406i | ||||
\(829\) | 39.7368 | − | 22.9421i | 1.38012 | − | 0.796811i | 0.387944 | − | 0.921683i | \(-0.373185\pi\) |
0.992173 | + | 0.124872i | \(0.0398521\pi\) | |||||||
\(830\) | −5.36707 | + | 0.196645i | −0.186294 | + | 0.00682564i | ||||
\(831\) | −5.39395 | + | 3.96445i | −0.187114 | + | 0.137525i | ||||
\(832\) | 3.92398 | + | 0.343304i | 0.136040 | + | 0.0119019i | ||||
\(833\) | 12.9207 | − | 9.04719i | 0.447677 | − | 0.313467i | ||||
\(834\) | 0.594695 | + | 5.37363i | 0.0205926 | + | 0.186074i | ||||
\(835\) | −25.4021 | − | 33.5897i | −0.879077 | − | 1.16242i | ||||
\(836\) | −14.9088 | − | 11.8715i | −0.515632 | − | 0.410583i | ||||
\(837\) | −27.7635 | + | 1.91489i | −0.959647 | + | 0.0661882i | ||||
\(838\) | 9.86585 | − | 21.1574i | 0.340810 | − | 0.730870i | ||||
\(839\) | 4.38601 | − | 24.8743i | 0.151422 | − | 0.858756i | −0.810563 | − | 0.585652i | \(-0.800839\pi\) |
0.961985 | − | 0.273104i | \(-0.0880503\pi\) | |||||||
\(840\) | −7.21780 | − | 3.61228i | −0.249038 | − | 0.124635i | ||||
\(841\) | −13.5515 | − | 11.3710i | −0.467292 | − | 0.392105i | ||||
\(842\) | −21.8130 | − | 15.2736i | −0.751724 | − | 0.526363i | ||||
\(843\) | 22.1999 | + | 12.1464i | 0.764604 | + | 0.418345i | ||||
\(844\) | 5.77722 | + | 3.33548i | 0.198860 | + | 0.114812i | ||||
\(845\) | −4.97096 | − | 2.63217i | −0.171006 | − | 0.0905495i | ||||
\(846\) | 6.39417 | + | 6.94622i | 0.219836 | + | 0.238816i | ||||
\(847\) | 16.3373 | − | 4.37757i | 0.561357 | − | 0.150415i | ||||
\(848\) | −3.21755 | + | 12.0081i | −0.110491 | + | 0.412358i | ||||
\(849\) | −2.88129 | + | 44.7397i | −0.0988856 | + | 1.53546i | ||||
\(850\) | 24.5510 | − | 16.6827i | 0.842091 | − | 0.572213i | ||||
\(851\) | 7.51262 | + | 8.95319i | 0.257529 | + | 0.306911i | ||||
\(852\) | 19.4329 | − | 7.58249i | 0.665759 | − | 0.259772i | ||||
\(853\) | 17.3900 | − | 37.2930i | 0.595423 | − | 1.27689i | −0.345548 | − | 0.938401i | \(-0.612307\pi\) |
0.940971 | − | 0.338488i | \(-0.109915\pi\) | |||||||
\(854\) | 16.5306 | 0.565666 | ||||||||
\(855\) | −17.2693 | − | 23.5960i | −0.590596 | − | 0.806967i | ||||
\(856\) | 8.24957 | 0.281965 | ||||||||
\(857\) | 1.84960 | − | 3.96649i | 0.0631813 | − | 0.135493i | −0.872182 | − | 0.489182i | \(-0.837295\pi\) |
0.935363 | + | 0.353690i | \(0.115073\pi\) | |||||||
\(858\) | −27.7888 | + | 10.8429i | −0.948692 | + | 0.370169i | ||||
\(859\) | 24.9518 | + | 29.7364i | 0.851343 | + | 1.01459i | 0.999671 | + | 0.0256530i | \(0.00816652\pi\) |
−0.148328 | + | 0.988938i | \(0.547389\pi\) | |||||||
\(860\) | 5.33874 | + | 0.270605i | 0.182050 | + | 0.00922755i | ||||
\(861\) | 0.567044 | − | 8.80487i | 0.0193248 | − | 0.300069i | ||||
\(862\) | −3.51002 | + | 13.0996i | −0.119552 | + | 0.446174i | ||||
\(863\) | −32.8747 | + | 8.80876i | −1.11907 | + | 0.299854i | −0.770507 | − | 0.637432i | \(-0.779997\pi\) |
−0.348562 | + | 0.937286i | \(0.613330\pi\) | |||||||
\(864\) | 4.54705 | − | 2.51482i | 0.154694 | − | 0.0855560i | ||||
\(865\) | −34.6177 | + | 10.6487i | −1.17704 | + | 0.362066i | ||||
\(866\) | 27.5051 | + | 15.8801i | 0.934661 | + | 0.539627i | ||||
\(867\) | 27.7192 | + | 15.1663i | 0.941394 | + | 0.515074i | ||||
\(868\) | −9.14288 | − | 6.40192i | −0.310330 | − | 0.217295i | ||||
\(869\) | 8.13657 | + | 6.82740i | 0.276014 | + | 0.231604i | ||||
\(870\) | 4.11420 | + | 12.3580i | 0.139484 | + | 0.418976i | ||||
\(871\) | 10.4920 | − | 59.5031i | 0.355508 | − | 2.01619i | ||||
\(872\) | 1.45756 | − | 3.12574i | 0.0493591 | − | 0.105851i | ||||
\(873\) | 32.5208 | − | 10.3352i | 1.10066 | − | 0.349793i | ||||
\(874\) | −5.02263 | − | 24.7519i | −0.169893 | − | 0.837244i | ||||
\(875\) | 21.7089 | − | 8.46176i | 0.733894 | − | 0.286060i | ||||
\(876\) | 0.960212 | + | 8.67643i | 0.0324426 | + | 0.293149i | ||||
\(877\) | 32.8604 | − | 23.0091i | 1.10962 | − | 0.776963i | 0.132823 | − | 0.991140i | \(-0.457596\pi\) |
0.976795 | + | 0.214177i | \(0.0687069\pi\) | |||||||
\(878\) | −18.6237 | − | 1.62937i | −0.628520 | − | 0.0549884i | ||||
\(879\) | 4.36429 | − | 3.20767i | 0.147204 | − | 0.108192i | ||||
\(880\) | 0.357962 | + | 9.76994i | 0.0120669 | + | 0.329345i | ||||
\(881\) | −22.0936 | + | 12.7558i | −0.744353 | + | 0.429752i | −0.823650 | − | 0.567099i | \(-0.808066\pi\) |
0.0792971 | + | 0.996851i | \(0.474732\pi\) | |||||||
\(882\) | −1.70752 | + | 7.78591i | −0.0574952 | + | 0.262165i | ||||
\(883\) | −0.532021 | + | 0.248085i | −0.0179039 | + | 0.00834874i | −0.431550 | − | 0.902089i | \(-0.642033\pi\) |
0.413646 | + | 0.910438i | \(0.364255\pi\) | |||||||
\(884\) | −21.9737 | − | 7.99776i | −0.739054 | − | 0.268994i | ||||
\(885\) | −2.16371 | + | 18.7391i | −0.0727322 | + | 0.629907i | ||||
\(886\) | 13.8999 | + | 24.0754i | 0.466977 | + | 0.808828i | ||||
\(887\) | 32.8983 | + | 23.0356i | 1.10462 | + | 0.773461i | 0.975899 | − | 0.218221i | \(-0.0700253\pi\) |
0.128717 | + | 0.991681i | \(0.458914\pi\) | |||||||
\(888\) | −3.45369 | − | 0.527552i | −0.115898 | − | 0.0177035i | ||||
\(889\) | −24.9524 | − | 29.7371i | −0.836876 | − | 0.997350i | ||||
\(890\) | −13.4405 | + | 6.87735i | −0.450526 | + | 0.230529i | ||||
\(891\) | −22.4231 | + | 32.3357i | −0.751203 | + | 1.08329i | ||||
\(892\) | 9.33164 | + | 9.33164i | 0.312447 | + | 0.312447i | ||||
\(893\) | −5.47635 | + | 12.5771i | −0.183259 | + | 0.420878i | ||||
\(894\) | −13.3292 | − | 3.24557i | −0.445795 | − | 0.108548i | ||||
\(895\) | 9.03936 | + | 42.1708i | 0.302152 | + | 1.40962i | ||||
\(896\) | 2.05233 | + | 0.361881i | 0.0685635 | + | 0.0120896i | ||||
\(897\) | −37.4474 | − | 12.6642i | −1.25033 | − | 0.422845i | ||||
\(898\) | 13.6644 | − | 1.19548i | 0.455986 | − | 0.0398936i | ||||
\(899\) | 3.12767 | + | 17.7379i | 0.104314 | + | 0.591592i | ||||
\(900\) | −3.41838 | + | 14.6053i | −0.113946 | + | 0.486843i | ||||
\(901\) | 36.9005 | − | 63.9136i | 1.22933 | − | 2.12927i | ||||
\(902\) | −9.68589 | + | 4.51660i | −0.322505 | + | 0.150386i | ||||
\(903\) | 1.69309 | + | 8.46141i | 0.0563424 | + | 0.281578i | ||||
\(904\) | −6.23681 | − | 3.60083i | −0.207433 | − | 0.119762i | ||||
\(905\) | −28.4849 | + | 11.5655i | −0.946869 | + | 0.384451i | ||||
\(906\) | −1.21865 | + | 18.9228i | −0.0404869 | + | 0.628667i | ||||
\(907\) | 3.09635 | + | 35.3915i | 0.102813 | + | 1.17515i | 0.855867 | + | 0.517196i | \(0.173024\pi\) |
−0.753054 | + | 0.657958i | \(0.771420\pi\) | |||||||
\(908\) | −11.8356 | − | 1.03548i | −0.392777 | − | 0.0343635i | ||||
\(909\) | −16.5037 | + | 21.6096i | −0.547392 | + | 0.716745i | ||||
\(910\) | −15.4113 | − | 9.97063i | −0.510878 | − | 0.330523i | ||||
\(911\) | 3.51211i | 0.116361i | 0.998306 | + | 0.0581807i | \(0.0185299\pi\) | ||||
−0.998306 | + | 0.0581807i | \(0.981470\pi\) | |||||||
\(912\) | 6.01254 | + | 4.56611i | 0.199095 | + | 0.151199i | ||||
\(913\) | −7.42552 | + | 7.42552i | −0.245749 | + | 0.245749i | ||||
\(914\) | 20.4540 | − | 7.44464i | 0.676558 | − | 0.246247i | ||||
\(915\) | −7.12663 | − | 29.8832i | −0.235599 | − | 0.987909i | ||||
\(916\) | 15.5894 | − | 13.0811i | 0.515089 | − | 0.432211i | ||||
\(917\) | −9.39778 | + | 0.822199i | −0.310342 | + | 0.0271514i | ||||
\(918\) | −29.9380 | + | 7.43415i | −0.988100 | + | 0.245363i | ||||
\(919\) | −27.3993 | + | 15.8190i | −0.903820 | + | 0.521821i | −0.878438 | − | 0.477857i | \(-0.841414\pi\) |
−0.0253826 | + | 0.999678i | \(0.508080\pi\) | |||||||
\(920\) | −7.95911 | + | 10.2233i | −0.262404 | + | 0.337053i | ||||
\(921\) | 8.02177 | − | 12.0350i | 0.264326 | − | 0.396568i | ||||
\(922\) | 1.77148 | + | 3.79895i | 0.0583405 | + | 0.125112i | ||||
\(923\) | 45.8222 | − | 12.2780i | 1.50826 | − | 0.404136i | ||||
\(924\) | −15.1462 | + | 4.43342i | −0.498274 | + | 0.145849i | ||||
\(925\) | 7.81613 | − | 6.37392i | 0.256993 | − | 0.209573i | ||||
\(926\) | 6.38596 | − | 7.61050i | 0.209856 | − | 0.250096i | ||||
\(927\) | 4.17533 | + | 2.64664i | 0.137136 | + | 0.0869271i | ||||
\(928\) | −1.92894 | − | 2.75481i | −0.0633206 | − | 0.0904312i | ||||
\(929\) | 29.2594 | − | 10.6496i | 0.959971 | − | 0.349401i | 0.185949 | − | 0.982559i | \(-0.440464\pi\) |
0.774022 | + | 0.633158i | \(0.218242\pi\) | |||||||
\(930\) | −7.63141 | + | 19.2880i | −0.250244 | + | 0.632479i | ||||
\(931\) | −11.3502 | + | 2.30317i | −0.371988 | + | 0.0754835i | ||||
\(932\) | 21.3200 | − | 21.3200i | 0.698358 | − | 0.698358i | ||||
\(933\) | −15.1839 | + | 18.9629i | −0.497100 | + | 0.620819i | ||||
\(934\) | −2.46715 | − | 0.435025i | −0.0807275 | − | 0.0142344i | ||||
\(935\) | 12.9588 | − | 56.5734i | 0.423797 | − | 1.85015i | ||||
\(936\) | 10.9071 | − | 4.54696i | 0.356509 | − | 0.148622i | ||||
\(937\) | 4.83768 | − | 6.90892i | 0.158040 | − | 0.225705i | −0.732321 | − | 0.680960i | \(-0.761563\pi\) |
0.890361 | + | 0.455255i | \(0.150452\pi\) | |||||||
\(938\) | 8.27365 | − | 30.8777i | 0.270144 | − | 1.00819i | ||||
\(939\) | 32.9138 | − | 34.4606i | 1.07410 | − | 1.12458i | ||||
\(940\) | 6.72600 | − | 2.06897i | 0.219378 | − | 0.0674825i | ||||
\(941\) | 3.66634 | − | 10.0732i | 0.119519 | − | 0.328376i | −0.865478 | − | 0.500947i | \(-0.832985\pi\) |
0.984997 | + | 0.172571i | \(0.0552074\pi\) | |||||||
\(942\) | −42.5410 | + | 0.976662i | −1.38606 | + | 0.0318214i | ||||
\(943\) | −13.6805 | − | 3.66568i | −0.445499 | − | 0.119371i | ||||
\(944\) | −0.845762 | − | 4.79656i | −0.0275272 | − | 0.156115i | ||||
\(945\) | −24.2098 | + | 0.441119i | −0.787544 | + | 0.0143496i | ||||
\(946\) | 8.00688 | − | 6.71857i | 0.260326 | − | 0.218440i | ||||
\(947\) | −4.56043 | − | 6.51297i | −0.148194 | − | 0.211643i | 0.738191 | − | 0.674592i | \(-0.235680\pi\) |
−0.886385 | + | 0.462949i | \(0.846791\pi\) | |||||||
\(948\) | −3.28455 | − | 2.62999i | −0.106677 | − | 0.0854182i | ||||
\(949\) | 19.8521i | 0.644427i | ||||||||
\(950\) | −21.4179 | + | 4.03430i | −0.694887 | + | 0.130890i | ||||
\(951\) | 35.7163 | + | 8.69669i | 1.15818 | + | 0.282009i | ||||
\(952\) | −11.2126 | − | 5.22851i | −0.363401 | − | 0.169457i | ||||
\(953\) | −4.78765 | + | 3.35235i | −0.155087 | + | 0.108593i | −0.648544 | − | 0.761177i | \(-0.724622\pi\) |
0.493457 | + | 0.869770i | \(0.335733\pi\) | |||||||
\(954\) | 8.15492 | + | 36.3925i | 0.264025 | + | 1.17825i | ||||
\(955\) | −28.9589 | − | 32.0513i | −0.937088 | − | 1.03716i | ||||
\(956\) | 5.38668 | − | 0.949817i | 0.174218 | − | 0.0307193i | ||||
\(957\) | 22.3420 | + | 12.2242i | 0.722214 | + | 0.395152i | ||||
\(958\) | −1.61608 | − | 6.03130i | −0.0522132 | − | 0.194862i | ||||
\(959\) | 13.3392 | + | 4.85506i | 0.430744 | + | 0.156778i | ||||
\(960\) | −0.230604 | − | 3.86611i | −0.00744271 | − | 0.124778i | ||||
\(961\) | 1.15780 | − | 2.00536i | 0.0373482 | − | 0.0646890i | ||||
\(962\) | −7.67463 | − | 2.05641i | −0.247440 | − | 0.0663013i | ||||
\(963\) | 21.9263 | − | 11.4776i | 0.706566 | − | 0.369860i | ||||
\(964\) | 3.37603 | − | 4.02339i | 0.108734 | − | 0.129585i | ||||
\(965\) | −52.5829 | − | 12.0447i | −1.69270 | − | 0.387733i | ||||
\(966\) | −19.1529 | − | 8.40150i | −0.616236 | − | 0.270314i | ||||
\(967\) | −32.7495 | − | 15.2714i | −1.05315 | − | 0.491094i | −0.182611 | − | 0.983185i | \(-0.558455\pi\) |
−0.870544 | + | 0.492091i | \(0.836233\pi\) | |||||||
\(968\) | 5.73887 | + | 5.73887i | 0.184454 | + | 0.184454i | ||||
\(969\) | −27.4617 | − | 35.4215i | −0.882197 | − | 1.13790i | ||||
\(970\) | 3.49653 | − | 25.1928i | 0.112267 | − | 0.808891i | ||||
\(971\) | 19.3295 | + | 53.1073i | 0.620313 | + | 1.70430i | 0.706220 | + | 0.707992i | \(0.250399\pi\) |
−0.0859072 | + | 0.996303i | \(0.527379\pi\) | |||||||
\(972\) | 8.58663 | − | 13.0104i | 0.275416 | − | 0.417308i | ||||
\(973\) | −0.566947 | + | 6.48023i | −0.0181755 | + | 0.207747i | ||||
\(974\) | 4.90023 | + | 4.11178i | 0.157013 | + | 0.131750i | ||||
\(975\) | −11.3803 | + | 32.1582i | −0.364463 | + | 1.02989i | ||||
\(976\) | 3.96610 | + | 6.86948i | 0.126952 | + | 0.219887i | ||||
\(977\) | −3.97378 | − | 14.8304i | −0.127133 | − | 0.474465i | 0.872774 | − | 0.488124i | \(-0.162319\pi\) |
−0.999907 | + | 0.0136589i | \(0.995652\pi\) | |||||||
\(978\) | −2.74062 | + | 0.548384i | −0.0876352 | + | 0.0175354i | ||||
\(979\) | −10.0967 | + | 27.7405i | −0.322692 | + | 0.886589i | ||||
\(980\) | 4.68800 | + | 3.64972i | 0.149753 | + | 0.116586i | ||||
\(981\) | −0.474828 | − | 10.3357i | −0.0151601 | − | 0.329994i | ||||
\(982\) | 20.7901 | − | 29.6914i | 0.663440 | − | 0.947490i | ||||
\(983\) | −0.920499 | − | 10.5213i | −0.0293593 | − | 0.335579i | −0.996642 | − | 0.0818788i | \(-0.973908\pi\) |
0.967283 | − | 0.253700i | \(-0.0816476\pi\) | |||||||
\(984\) | 3.79501 | − | 1.87686i | 0.120980 | − | 0.0598321i | ||||
\(985\) | 54.2315 | − | 27.7497i | 1.72796 | − | 0.884177i | ||||
\(986\) | 6.82831 | + | 18.7606i | 0.217458 | + | 0.597460i | ||||
\(987\) | 5.90406 | + | 9.70469i | 0.187928 | + | 0.308904i | ||||
\(988\) | 12.4483 | + | 11.8251i | 0.396034 | + | 0.376208i | ||||
\(989\) | 13.8517 | 0.440460 | ||||||||
\(990\) | 14.5443 | + | 25.4693i | 0.462248 | + | 0.809466i | ||||
\(991\) | −1.13620 | + | 6.44369i | −0.0360925 | + | 0.204691i | −0.997521 | − | 0.0703627i | \(-0.977584\pi\) |
0.961429 | + | 0.275053i | \(0.0886955\pi\) | |||||||
\(992\) | 0.466787 | − | 5.33540i | 0.0148205 | − | 0.169399i | ||||
\(993\) | 5.76729 | − | 37.7563i | 0.183019 | − | 1.19816i | ||||
\(994\) | 24.7170 | − | 4.35828i | 0.783977 | − | 0.138236i | ||||
\(995\) | 7.87383 | + | 19.3925i | 0.249617 | + | 0.614785i | ||||
\(996\) | 2.87335 | − | 3.00838i | 0.0910454 | − | 0.0953242i | ||||
\(997\) | −4.35072 | − | 9.33015i | −0.137789 | − | 0.295489i | 0.825290 | − | 0.564709i | \(-0.191012\pi\) |
−0.963079 | + | 0.269220i | \(0.913234\pi\) | |||||||
\(998\) | −2.13245 | − | 4.57306i | −0.0675016 | − | 0.144758i | ||||
\(999\) | −9.91344 | + | 3.40293i | −0.313648 | + | 0.107664i |
(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 | 570.2.bi.a.347.1 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.347.35 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.233.29 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.233.16 | yes | 480 | |
19.4 | even | 9 | inner | 570.2.bi.a.137.16 | yes | 480 | |
57.23 | odd | 18 | inner | 570.2.bi.a.137.29 | yes | 480 | |
95.23 | odd | 36 | inner | 570.2.bi.a.23.35 | yes | 480 | |
285.23 | even | 36 | inner | 570.2.bi.a.23.1 | ✓ | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.23.1 | ✓ | 480 | 285.23 | even | 36 | inner | |
570.2.bi.a.23.35 | yes | 480 | 95.23 | odd | 36 | inner | |
570.2.bi.a.137.16 | yes | 480 | 19.4 | even | 9 | inner | |
570.2.bi.a.137.29 | yes | 480 | 57.23 | odd | 18 | inner | |
570.2.bi.a.233.16 | yes | 480 | 15.8 | even | 4 | inner | |
570.2.bi.a.233.29 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.347.1 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.347.35 | yes | 480 | 3.2 | odd | 2 | inner |