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 | 47.14 | ||
Character | \(\chi\) | \(=\) | 570.47 |
Dual form | 570.2.bi.a.473.14 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.819152 | − | 0.573576i | −0.579228 | − | 0.405580i | ||||
\(3\) | 1.27781 | + | 1.16927i | 0.737744 | + | 0.675081i | ||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | −1.35963 | + | 1.77522i | −0.608045 | + | 0.793902i | ||||
\(6\) | −0.376053 | − | 1.69073i | −0.153523 | − | 0.690240i | ||||
\(7\) | 0.943230 | − | 0.252738i | 0.356507 | − | 0.0955258i | −0.0761201 | − | 0.997099i | \(-0.524253\pi\) |
0.432627 | + | 0.901573i | \(0.357587\pi\) | |||||||
\(8\) | 0.258819 | − | 0.965926i | 0.0915064 | − | 0.341506i | ||||
\(9\) | 0.265597 | + | 2.98822i | 0.0885325 | + | 0.996073i | ||||
\(10\) | 2.13197 | − | 0.674323i | 0.674188 | − | 0.213240i | ||||
\(11\) | −4.69691 | + | 2.71176i | −1.41617 | + | 0.817627i | −0.995960 | − | 0.0897990i | \(-0.971378\pi\) |
−0.420212 | + | 0.907426i | \(0.638044\pi\) | |||||||
\(12\) | −0.661721 | + | 1.60066i | −0.191022 | + | 0.462072i | ||||
\(13\) | −3.15296 | + | 0.275849i | −0.874475 | + | 0.0765066i | −0.515550 | − | 0.856860i | \(-0.672412\pi\) |
−0.358925 | + | 0.933366i | \(0.616857\pi\) | |||||||
\(14\) | −0.917613 | − | 0.333984i | −0.245242 | − | 0.0892609i | ||||
\(15\) | −3.81307 | + | 0.678613i | −0.984530 | + | 0.175217i | ||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | 0.681681 | + | 0.477318i | 0.165332 | + | 0.115767i | 0.653314 | − | 0.757087i | \(-0.273378\pi\) |
−0.487982 | + | 0.872854i | \(0.662267\pi\) | |||||||
\(18\) | 1.49641 | − | 2.60015i | 0.352707 | − | 0.612860i | ||||
\(19\) | 4.08584 | − | 1.51853i | 0.937356 | − | 0.348374i | ||||
\(20\) | −2.13318 | − | 0.670474i | −0.476994 | − | 0.149923i | ||||
\(21\) | 1.50079 | + | 0.779943i | 0.327499 | + | 0.170198i | ||||
\(22\) | 5.40289 | + | 0.472691i | 1.15190 | + | 0.100778i | ||||
\(23\) | −4.11888 | − | 1.92067i | −0.858847 | − | 0.400487i | −0.0572557 | − | 0.998360i | \(-0.518235\pi\) |
−0.801591 | + | 0.597873i | \(0.796013\pi\) | |||||||
\(24\) | 1.46015 | − | 0.931639i | 0.298053 | − | 0.190170i | ||||
\(25\) | −1.30281 | − | 4.82729i | −0.260562 | − | 0.965457i | ||||
\(26\) | 2.74098 | + | 1.58250i | 0.537550 | + | 0.310354i | ||||
\(27\) | −3.15466 | + | 4.12893i | −0.607115 | + | 0.794614i | ||||
\(28\) | 0.560099 | + | 0.799904i | 0.105849 | + | 0.151168i | ||||
\(29\) | −0.154429 | + | 0.875809i | −0.0286767 | + | 0.162634i | −0.995783 | − | 0.0917384i | \(-0.970758\pi\) |
0.967106 | + | 0.254372i | \(0.0818688\pi\) | |||||||
\(30\) | 3.51272 | + | 1.63120i | 0.641332 | + | 0.297815i | ||||
\(31\) | −2.15711 | + | 3.73622i | −0.387428 | + | 0.671045i | −0.992103 | − | 0.125428i | \(-0.959970\pi\) |
0.604675 | + | 0.796472i | \(0.293303\pi\) | |||||||
\(32\) | 0.996195 | − | 0.0871557i | 0.176104 | − | 0.0154071i | ||||
\(33\) | −9.17255 | − | 2.02686i | −1.59674 | − | 0.352830i | ||||
\(34\) | −0.284622 | − | 0.781993i | −0.0488123 | − | 0.134111i | ||||
\(35\) | −0.833779 | + | 2.01807i | −0.140934 | + | 0.341116i | ||||
\(36\) | −2.71717 | + | 1.27161i | −0.452861 | + | 0.211935i | ||||
\(37\) | 6.54753 | + | 6.54753i | 1.07641 | + | 1.07641i | 0.996829 | + | 0.0795791i | \(0.0253576\pi\) |
0.0795791 | + | 0.996829i | \(0.474642\pi\) | |||||||
\(38\) | −4.21791 | − | 1.09964i | −0.684236 | − | 0.178385i | ||||
\(39\) | −4.35143 | − | 3.33420i | −0.696787 | − | 0.533898i | ||||
\(40\) | 1.36283 | + | 1.77276i | 0.215483 | + | 0.280298i | ||||
\(41\) | −7.34143 | − | 8.74918i | −1.14654 | − | 1.36639i | −0.919777 | − | 0.392442i | \(-0.871630\pi\) |
−0.226763 | − | 0.973950i | \(-0.572814\pi\) | |||||||
\(42\) | −0.782016 | − | 1.49971i | −0.120668 | − | 0.231410i | ||||
\(43\) | −1.85014 | + | 0.862733i | −0.282143 | + | 0.131566i | −0.558539 | − | 0.829478i | \(-0.688638\pi\) |
0.276396 | + | 0.961044i | \(0.410860\pi\) | |||||||
\(44\) | −4.15466 | − | 3.48617i | −0.626339 | − | 0.525561i | ||||
\(45\) | −5.66586 | − | 3.59138i | −0.844617 | − | 0.535372i | ||||
\(46\) | 2.27234 | + | 3.93581i | 0.335039 | + | 0.580304i | ||||
\(47\) | 4.36168 | + | 6.22912i | 0.636216 | + | 0.908611i | 0.999736 | − | 0.0229757i | \(-0.00731403\pi\) |
−0.363520 | + | 0.931586i | \(0.618425\pi\) | |||||||
\(48\) | −1.73045 | − | 0.0743552i | −0.249770 | − | 0.0107323i | ||||
\(49\) | −5.23637 | + | 3.02322i | −0.748053 | + | 0.431889i | ||||
\(50\) | −1.70162 | + | 4.70154i | −0.240645 | + | 0.664898i | ||||
\(51\) | 0.312943 | + | 1.40699i | 0.0438208 | + | 0.197019i | ||||
\(52\) | −1.33759 | − | 2.86847i | −0.185490 | − | 0.397785i | ||||
\(53\) | 11.1647 | + | 5.20619i | 1.53359 | + | 0.715125i | 0.992085 | − | 0.125571i | \(-0.0400764\pi\) |
0.541506 | + | 0.840697i | \(0.317854\pi\) | |||||||
\(54\) | 4.95241 | − | 1.57278i | 0.673937 | − | 0.214029i | ||||
\(55\) | 1.57209 | − | 12.0250i | 0.211980 | − | 1.62146i | ||||
\(56\) | − | 0.976503i | − | 0.130491i | ||||||
\(57\) | 6.99650 | + | 2.83708i | 0.926709 | + | 0.375780i | ||||
\(58\) | 0.628844 | − | 0.628844i | 0.0825713 | − | 0.0825713i | ||||
\(59\) | 0.414295 | + | 2.34958i | 0.0539366 | + | 0.305890i | 0.999827 | − | 0.0185964i | \(-0.00591977\pi\) |
−0.945890 | + | 0.324486i | \(0.894809\pi\) | |||||||
\(60\) | −1.94183 | − | 3.35101i | −0.250690 | − | 0.432614i | ||||
\(61\) | −2.34544 | + | 0.853669i | −0.300302 | + | 0.109301i | −0.487777 | − | 0.872968i | \(-0.662192\pi\) |
0.187474 | + | 0.982269i | \(0.439970\pi\) | |||||||
\(62\) | 3.91001 | − | 1.82327i | 0.496571 | − | 0.231555i | ||||
\(63\) | 1.00575 | + | 2.75145i | 0.126713 | + | 0.346650i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | 3.79717 | − | 5.97225i | 0.470981 | − | 0.740767i | ||||
\(66\) | 6.35116 | + | 6.92146i | 0.781773 | + | 0.851973i | ||||
\(67\) | 9.15037 | − | 6.40716i | 1.11790 | − | 0.782759i | 0.139649 | − | 0.990201i | \(-0.455403\pi\) |
0.978247 | + | 0.207442i | \(0.0665138\pi\) | |||||||
\(68\) | −0.215384 | + | 0.803823i | −0.0261191 | + | 0.0974779i | ||||
\(69\) | −3.01737 | − | 7.27035i | −0.363248 | − | 0.875247i | ||||
\(70\) | 1.84051 | − | 1.17487i | 0.219983 | − | 0.140424i | ||||
\(71\) | −5.27765 | + | 14.5002i | −0.626342 | + | 1.72086i | 0.0645603 | + | 0.997914i | \(0.479436\pi\) |
−0.690903 | + | 0.722948i | \(0.742787\pi\) | |||||||
\(72\) | 2.95514 | + | 0.516861i | 0.348267 | + | 0.0609126i | ||||
\(73\) | −0.359117 | + | 4.10473i | −0.0420315 | + | 0.480422i | 0.945784 | + | 0.324795i | \(0.105295\pi\) |
−0.987816 | + | 0.155627i | \(0.950260\pi\) | |||||||
\(74\) | −1.60791 | − | 9.11893i | −0.186916 | − | 1.06005i | ||||
\(75\) | 3.97968 | − | 7.69170i | 0.459533 | − | 0.888161i | ||||
\(76\) | 2.82439 | + | 3.32007i | 0.323979 | + | 0.380838i | ||||
\(77\) | −3.74490 | + | 3.74490i | −0.426771 | + | 0.426771i | ||||
\(78\) | 1.65207 | + | 5.22709i | 0.187060 | + | 0.591851i | ||||
\(79\) | 2.85709 | + | 3.40495i | 0.321448 | + | 0.383087i | 0.902435 | − | 0.430826i | \(-0.141778\pi\) |
−0.580987 | + | 0.813913i | \(0.697333\pi\) | |||||||
\(80\) | −0.0995518 | − | 2.23385i | −0.0111302 | − | 0.249752i | ||||
\(81\) | −8.85892 | + | 1.58733i | −0.984324 | + | 0.176370i | ||||
\(82\) | 0.995427 | + | 11.3778i | 0.109927 | + | 1.25647i | ||||
\(83\) | 8.66776 | − | 2.32252i | 0.951411 | − | 0.254930i | 0.250450 | − | 0.968130i | \(-0.419421\pi\) |
0.700961 | + | 0.713200i | \(0.252755\pi\) | |||||||
\(84\) | −0.219607 | + | 1.67704i | −0.0239611 | + | 0.182980i | ||||
\(85\) | −1.77418 | + | 0.561157i | −0.192437 | + | 0.0608661i | ||||
\(86\) | 2.01039 | + | 0.354485i | 0.216786 | + | 0.0382251i | ||||
\(87\) | −1.22139 | + | 0.938548i | −0.130947 | + | 0.100623i | ||||
\(88\) | 1.40371 | + | 5.23872i | 0.149636 | + | 0.558450i | ||||
\(89\) | 9.51138 | + | 7.98099i | 1.00820 | + | 0.845983i | 0.988100 | − | 0.153814i | \(-0.0491558\pi\) |
0.0201041 | + | 0.999798i | \(0.493600\pi\) | |||||||
\(90\) | 2.58127 | + | 6.19169i | 0.272090 | + | 0.652662i | ||||
\(91\) | −2.90425 | + | 1.05706i | −0.304448 | + | 0.110810i | ||||
\(92\) | 0.396095 | − | 4.52739i | 0.0412958 | − | 0.472013i | ||||
\(93\) | −7.12504 | + | 2.25193i | −0.738832 | + | 0.233514i | ||||
\(94\) | − | 7.60435i | − | 0.784329i | ||||||
\(95\) | −2.85952 | + | 9.31790i | −0.293380 | + | 0.955996i | ||||
\(96\) | 1.37486 | + | 1.05346i | 0.140321 | + | 0.107518i | ||||
\(97\) | −2.90803 | + | 4.15309i | −0.295265 | + | 0.421683i | −0.939186 | − | 0.343410i | \(-0.888418\pi\) |
0.643920 | + | 0.765093i | \(0.277307\pi\) | |||||||
\(98\) | 6.02343 | + | 0.526982i | 0.608459 | + | 0.0532332i | ||||
\(99\) | −9.35083 | − | 13.3152i | −0.939794 | − | 1.33822i | ||||
\(100\) | 4.09058 | − | 2.87527i | 0.409058 | − | 0.287527i | ||||
\(101\) | 1.20001 | − | 1.43012i | 0.119406 | − | 0.142302i | −0.703030 | − | 0.711160i | \(-0.748170\pi\) |
0.822436 | + | 0.568858i | \(0.192615\pi\) | |||||||
\(102\) | 0.550671 | − | 1.33204i | 0.0545245 | − | 0.131892i | ||||
\(103\) | 1.02540 | + | 0.274756i | 0.101036 | + | 0.0270725i | 0.308983 | − | 0.951068i | \(-0.400011\pi\) |
−0.207947 | + | 0.978140i | \(0.566678\pi\) | |||||||
\(104\) | −0.549598 | + | 3.11692i | −0.0538925 | + | 0.305639i | ||||
\(105\) | −3.42509 | + | 1.60379i | −0.334254 | + | 0.156514i | ||||
\(106\) | −6.15945 | − | 10.6685i | −0.598258 | − | 1.03621i | ||||
\(107\) | −4.31802 | − | 16.1151i | −0.417439 | − | 1.55790i | −0.779901 | − | 0.625903i | \(-0.784730\pi\) |
0.362462 | − | 0.931999i | \(-0.381936\pi\) | |||||||
\(108\) | −4.95889 | − | 1.55224i | −0.477169 | − | 0.149364i | ||||
\(109\) | 0.548567 | − | 1.50718i | 0.0525432 | − | 0.144361i | −0.910645 | − | 0.413190i | \(-0.864414\pi\) |
0.963188 | + | 0.268829i | \(0.0866367\pi\) | |||||||
\(110\) | −8.18506 | + | 8.94862i | −0.780415 | + | 0.853218i | ||||
\(111\) | 0.710645 | + | 16.0224i | 0.0674514 | + | 1.52078i | ||||
\(112\) | −0.560099 | + | 0.799904i | −0.0529244 | + | 0.0755839i | ||||
\(113\) | 9.37756 | + | 9.37756i | 0.882167 | + | 0.882167i | 0.993755 | − | 0.111588i | \(-0.0355937\pi\) |
−0.111588 | + | 0.993755i | \(0.535594\pi\) | |||||||
\(114\) | −4.10392 | − | 6.33702i | −0.384367 | − | 0.593517i | ||||
\(115\) | 9.00977 | − | 4.70053i | 0.840165 | − | 0.438326i | ||||
\(116\) | −0.875809 | + | 0.154429i | −0.0813168 | + | 0.0143383i | ||||
\(117\) | −1.66171 | − | 9.34848i | −0.153626 | − | 0.864267i | ||||
\(118\) | 1.00829 | − | 2.16230i | 0.0928211 | − | 0.199055i | ||||
\(119\) | 0.763618 | + | 0.277934i | 0.0700008 | + | 0.0254782i | ||||
\(120\) | −0.331404 | + | 3.85878i | −0.0302530 | + | 0.352257i | ||||
\(121\) | 9.20731 | − | 15.9475i | 0.837028 | − | 1.44978i | ||||
\(122\) | 2.41091 | + | 0.646003i | 0.218274 | + | 0.0584863i | ||||
\(123\) | 0.849229 | − | 19.7639i | 0.0765724 | − | 1.78205i | ||||
\(124\) | −4.24867 | − | 0.749156i | −0.381542 | − | 0.0672762i | ||||
\(125\) | 10.3408 | + | 4.25055i | 0.924912 | + | 0.380181i | ||||
\(126\) | 0.754301 | − | 2.83073i | 0.0671985 | − | 0.252182i | ||||
\(127\) | −0.388188 | − | 4.43701i | −0.0344461 | − | 0.393721i | −0.993773 | − | 0.111423i | \(-0.964459\pi\) |
0.959327 | − | 0.282297i | \(-0.0910965\pi\) | |||||||
\(128\) | 0.422618 | + | 0.906308i | 0.0373545 | + | 0.0801070i | ||||
\(129\) | −3.37289 | − | 1.06091i | −0.296967 | − | 0.0934077i | ||||
\(130\) | −6.53601 | + | 2.71421i | −0.573246 | + | 0.238052i | ||||
\(131\) | 0.165185 | − | 0.0291266i | 0.0144323 | − | 0.00254481i | −0.166427 | − | 0.986054i | \(-0.553223\pi\) |
0.180860 | + | 0.983509i | \(0.442112\pi\) | |||||||
\(132\) | −1.23258 | − | 9.31260i | −0.107282 | − | 0.810558i | ||||
\(133\) | 3.47010 | − | 2.46496i | 0.300895 | − | 0.213739i | ||||
\(134\) | −11.1705 | −0.964988 | ||||||||
\(135\) | −3.04059 | − | 11.2140i | −0.261692 | − | 0.965151i | ||||
\(136\) | 0.637486 | − | 0.534914i | 0.0546640 | − | 0.0458685i | ||||
\(137\) | 5.26423 | − | 11.2892i | 0.449753 | − | 0.964499i | −0.542475 | − | 0.840072i | \(-0.682513\pi\) |
0.992229 | − | 0.124428i | \(-0.0397094\pi\) | |||||||
\(138\) | −1.69842 | + | 7.68621i | −0.144579 | + | 0.654294i | ||||
\(139\) | 8.45969 | − | 10.0819i | 0.717542 | − | 0.855133i | −0.276848 | − | 0.960914i | \(-0.589290\pi\) |
0.994389 | + | 0.105781i | \(0.0337342\pi\) | |||||||
\(140\) | −2.18153 | − | 0.0932756i | −0.184373 | − | 0.00788322i | ||||
\(141\) | −1.71015 | + | 13.0596i | −0.144021 | + | 1.09982i | ||||
\(142\) | 12.6402 | − | 8.85076i | 1.06074 | − | 0.742739i | ||||
\(143\) | 14.0611 | − | 9.84572i | 1.17585 | − | 0.823341i | ||||
\(144\) | −2.12425 | − | 2.11839i | −0.177021 | − | 0.176532i | ||||
\(145\) | −1.34479 | − | 1.46492i | −0.111679 | − | 0.121655i | ||||
\(146\) | 2.64855 | − | 3.15641i | 0.219195 | − | 0.261227i | ||||
\(147\) | −10.2261 | − | 2.25965i | −0.843431 | − | 0.186373i | ||||
\(148\) | −3.91328 | + | 8.39206i | −0.321670 | + | 0.689823i | ||||
\(149\) | 8.34480 | − | 7.00212i | 0.683633 | − | 0.573636i | −0.233433 | − | 0.972373i | \(-0.574996\pi\) |
0.917065 | + | 0.398737i | \(0.130551\pi\) | |||||||
\(150\) | −7.67173 | + | 4.01802i | −0.626395 | + | 0.328070i | ||||
\(151\) | −21.3819 | −1.74003 | −0.870016 | − | 0.493024i | \(-0.835891\pi\) | ||||
−0.870016 | + | 0.493024i | \(0.835891\pi\) | |||||||
\(152\) | −0.409290 | − | 4.33964i | −0.0331978 | − | 0.351991i | ||||
\(153\) | −1.24528 | + | 2.16379i | −0.100675 | + | 0.174932i | ||||
\(154\) | 5.21563 | − | 0.919656i | 0.420287 | − | 0.0741080i | ||||
\(155\) | −3.69974 | − | 8.90922i | −0.297170 | − | 0.715606i | ||||
\(156\) | 1.64484 | − | 5.22937i | 0.131693 | − | 0.418685i | ||||
\(157\) | 6.18477 | + | 13.2633i | 0.493598 | + | 1.05852i | 0.982513 | + | 0.186193i | \(0.0596150\pi\) |
−0.488915 | + | 0.872331i | \(0.662607\pi\) | |||||||
\(158\) | −0.387394 | − | 4.42793i | −0.0308194 | − | 0.352267i | ||||
\(159\) | 8.17892 | + | 19.7071i | 0.648630 | + | 1.56288i | ||||
\(160\) | −1.19974 | + | 1.88696i | −0.0948475 | + | 0.149178i | ||||
\(161\) | −4.37048 | − | 0.770633i | −0.344442 | − | 0.0607344i | ||||
\(162\) | 8.16725 | + | 3.78100i | 0.641680 | + | 0.297064i | ||||
\(163\) | 17.2895 | + | 4.63271i | 1.35422 | + | 0.362862i | 0.861690 | − | 0.507434i | \(-0.169406\pi\) |
0.492529 | + | 0.870296i | \(0.336073\pi\) | |||||||
\(164\) | 5.71062 | − | 9.89109i | 0.445925 | − | 0.772364i | ||||
\(165\) | 16.0694 | − | 13.5275i | 1.25100 | − | 1.05312i | ||||
\(166\) | −8.43236 | − | 3.06913i | −0.654478 | − | 0.238211i | ||||
\(167\) | 7.23507 | − | 15.5157i | 0.559866 | − | 1.20064i | −0.399045 | − | 0.916931i | \(-0.630658\pi\) |
0.958911 | − | 0.283706i | \(-0.0915640\pi\) | |||||||
\(168\) | 1.14180 | − | 1.24779i | 0.0880917 | − | 0.0962687i | ||||
\(169\) | −2.93742 | + | 0.517946i | −0.225955 | + | 0.0398420i | ||||
\(170\) | 1.77519 | + | 0.557954i | 0.136151 | + | 0.0427932i | ||||
\(171\) | 5.62288 | + | 11.8061i | 0.429992 | + | 0.902833i | ||||
\(172\) | −1.44349 | − | 1.44349i | −0.110065 | − | 0.110065i | ||||
\(173\) | 3.32698 | − | 4.75142i | 0.252946 | − | 0.361244i | −0.672518 | − | 0.740081i | \(-0.734787\pi\) |
0.925463 | + | 0.378837i | \(0.123676\pi\) | |||||||
\(174\) | 1.53883 | − | 0.0682524i | 0.116659 | − | 0.00517420i | ||||
\(175\) | −2.44888 | − | 4.22397i | −0.185118 | − | 0.319302i | ||||
\(176\) | 1.85495 | − | 5.09645i | 0.139822 | − | 0.384159i | ||||
\(177\) | −2.21792 | + | 3.48674i | −0.166709 | + | 0.262080i | ||||
\(178\) | −3.21355 | − | 11.9931i | −0.240866 | − | 0.898924i | ||||
\(179\) | −3.38097 | − | 5.85601i | −0.252706 | − | 0.437699i | 0.711564 | − | 0.702621i | \(-0.247987\pi\) |
−0.964270 | + | 0.264922i | \(0.914654\pi\) | |||||||
\(180\) | 1.43696 | − | 6.55249i | 0.107104 | − | 0.488394i | ||||
\(181\) | −1.36290 | + | 7.72937i | −0.101303 | + | 0.574519i | 0.891329 | + | 0.453356i | \(0.149773\pi\) |
−0.992633 | + | 0.121163i | \(0.961338\pi\) | |||||||
\(182\) | 2.98533 | + | 0.799916i | 0.221287 | + | 0.0592937i | ||||
\(183\) | −3.99520 | − | 1.65163i | −0.295333 | − | 0.122092i | ||||
\(184\) | −2.92127 | + | 3.48143i | −0.215359 | + | 0.256655i | ||||
\(185\) | −20.5255 | + | 2.72108i | −1.50907 | + | 0.200058i | ||||
\(186\) | 7.12814 | + | 2.24208i | 0.522661 | + | 0.164397i | ||||
\(187\) | −4.49617 | − | 0.393364i | −0.328792 | − | 0.0287656i | ||||
\(188\) | −4.36168 | + | 6.22912i | −0.318108 | + | 0.454305i | ||||
\(189\) | −1.93204 | + | 4.69183i | −0.140535 | + | 0.341281i | ||||
\(190\) | 7.68690 | − | 5.99262i | 0.557667 | − | 0.434751i | ||||
\(191\) | − | 14.8936i | − | 1.07767i | −0.842412 | − | 0.538833i | \(-0.818865\pi\) | ||
0.842412 | − | 0.538833i | \(-0.181135\pi\) | |||||||
\(192\) | −0.521979 | − | 1.65153i | −0.0376706 | − | 0.119189i | ||||
\(193\) | −0.277666 | + | 3.17373i | −0.0199868 | + | 0.228450i | 0.979631 | + | 0.200806i | \(0.0643561\pi\) |
−0.999618 | + | 0.0276443i | \(0.991199\pi\) | |||||||
\(194\) | 4.76423 | − | 1.73404i | 0.342052 | − | 0.124497i | ||||
\(195\) | 11.8353 | − | 3.19147i | 0.847541 | − | 0.228546i | ||||
\(196\) | −4.63184 | − | 3.88658i | −0.330846 | − | 0.277613i | ||||
\(197\) | 4.68268 | + | 17.4760i | 0.333627 | + | 1.24511i | 0.905350 | + | 0.424666i | \(0.139608\pi\) |
−0.571723 | + | 0.820446i | \(0.693725\pi\) | |||||||
\(198\) | 0.0224870 | + | 16.2706i | 0.00159808 | + | 1.15630i | ||||
\(199\) | −10.1460 | − | 1.78901i | −0.719228 | − | 0.126819i | −0.197957 | − | 0.980211i | \(-0.563431\pi\) |
−0.521271 | + | 0.853391i | \(0.674542\pi\) | |||||||
\(200\) | −4.99999 | + | 0.00902391i | −0.353553 | + | 0.000638087i | ||||
\(201\) | 19.1842 | + | 2.51216i | 1.35315 | + | 0.177194i | ||||
\(202\) | −1.80328 | + | 0.483186i | −0.126878 | + | 0.0339969i | ||||
\(203\) | 0.0756881 | + | 0.865119i | 0.00531226 | + | 0.0607194i | ||||
\(204\) | −1.21511 | + | 0.775291i | −0.0850747 | + | 0.0542812i | ||||
\(205\) | 25.5134 | − | 1.13700i | 1.78193 | − | 0.0794119i | ||||
\(206\) | −0.682367 | − | 0.813213i | −0.0475428 | − | 0.0566593i | ||||
\(207\) | 4.64541 | − | 12.8183i | 0.322878 | − | 0.890930i | ||||
\(208\) | 2.23800 | − | 2.23800i | 0.155177 | − | 0.155177i | ||||
\(209\) | −15.0729 | + | 18.2122i | −1.04262 | + | 1.25976i | ||||
\(210\) | 3.72557 | + | 0.650798i | 0.257088 | + | 0.0449094i | ||||
\(211\) | 0.425310 | + | 2.41205i | 0.0292795 | + | 0.166053i | 0.995941 | − | 0.0900037i | \(-0.0286879\pi\) |
−0.966662 | + | 0.256056i | \(0.917577\pi\) | |||||||
\(212\) | −1.07366 | + | 12.2720i | −0.0737394 | + | 0.842846i | ||||
\(213\) | −23.6986 | + | 12.3575i | −1.62380 | + | 0.846724i | ||||
\(214\) | −5.70611 | + | 15.6774i | −0.390061 | + | 1.07169i | ||||
\(215\) | 0.983962 | − | 4.45740i | 0.0671056 | − | 0.303992i | ||||
\(216\) | 3.17176 | + | 4.11582i | 0.215811 | + | 0.280046i | ||||
\(217\) | −1.09036 | + | 4.06930i | −0.0740188 | + | 0.276242i | ||||
\(218\) | −1.31384 | + | 0.919961i | −0.0889845 | + | 0.0623076i | ||||
\(219\) | −5.25843 | + | 4.82515i | −0.355332 | + | 0.326054i | ||||
\(220\) | 11.8375 | − | 2.63553i | 0.798086 | − | 0.177687i | ||||
\(221\) | −2.28098 | − | 1.31693i | −0.153436 | − | 0.0885861i | ||||
\(222\) | 8.60792 | − | 13.5324i | 0.577726 | − | 0.908232i | ||||
\(223\) | −16.3462 | + | 7.62237i | −1.09462 | + | 0.510432i | −0.884167 | − | 0.467171i | \(-0.845273\pi\) |
−0.210458 | + | 0.977603i | \(0.567495\pi\) | |||||||
\(224\) | 0.917613 | − | 0.333984i | 0.0613106 | − | 0.0223152i | ||||
\(225\) | 14.0790 | − | 5.17520i | 0.938598 | − | 0.345013i | ||||
\(226\) | −2.30290 | − | 13.0604i | −0.153187 | − | 0.868765i | ||||
\(227\) | 0.914162 | − | 0.914162i | 0.0606751 | − | 0.0606751i | −0.676118 | − | 0.736793i | \(-0.736339\pi\) |
0.736793 | + | 0.676118i | \(0.236339\pi\) | |||||||
\(228\) | −0.273037 | + | 7.54490i | −0.0180823 | + | 0.499673i | ||||
\(229\) | 10.6406i | 0.703150i | 0.936160 | + | 0.351575i | \(0.114354\pi\) | ||||
−0.936160 | + | 0.351575i | \(0.885646\pi\) | |||||||
\(230\) | −10.0765 | − | 1.31734i | −0.664423 | − | 0.0868631i | ||||
\(231\) | −9.16408 | + | 0.406458i | −0.602952 | + | 0.0267429i | ||||
\(232\) | 0.805997 | + | 0.375843i | 0.0529163 | + | 0.0246753i | ||||
\(233\) | 0.664336 | + | 1.42467i | 0.0435221 | + | 0.0933334i | 0.926867 | − | 0.375391i | \(-0.122492\pi\) |
−0.883344 | + | 0.468724i | \(0.844714\pi\) | |||||||
\(234\) | −4.00087 | + | 8.61095i | −0.261545 | + | 0.562915i | ||||
\(235\) | −16.9883 | − | 0.726368i | −1.10820 | − | 0.0473830i | ||||
\(236\) | −2.06619 | + | 1.19291i | −0.134497 | + | 0.0776521i | ||||
\(237\) | −0.330497 | + | 7.69160i | −0.0214681 | + | 0.499623i | ||||
\(238\) | −0.466103 | − | 0.665664i | −0.0302130 | − | 0.0431486i | ||||
\(239\) | −3.42796 | − | 5.93741i | −0.221736 | − | 0.384059i | 0.733599 | − | 0.679583i | \(-0.237839\pi\) |
−0.955335 | + | 0.295524i | \(0.904506\pi\) | |||||||
\(240\) | 2.48478 | − | 2.97084i | 0.160392 | − | 0.191767i | ||||
\(241\) | −1.69527 | − | 1.42250i | −0.109202 | − | 0.0916313i | 0.586552 | − | 0.809912i | \(-0.300485\pi\) |
−0.695754 | + | 0.718280i | \(0.744929\pi\) | |||||||
\(242\) | −16.6893 | + | 7.78235i | −1.07283 | + | 0.500269i | ||||
\(243\) | −13.1760 | − | 8.33020i | −0.845243 | − | 0.534382i | ||||
\(244\) | −1.60437 | − | 1.91202i | −0.102709 | − | 0.122404i | ||||
\(245\) | 1.75265 | − | 13.4062i | 0.111973 | − | 0.856489i | ||||
\(246\) | −12.0318 | + | 15.7026i | −0.767118 | + | 1.00116i | ||||
\(247\) | −12.4636 | + | 5.91493i | −0.793041 | + | 0.376358i | ||||
\(248\) | 3.05061 | + | 3.05061i | 0.193714 | + | 0.193714i | ||||
\(249\) | 13.7914 | + | 7.16725i | 0.873996 | + | 0.454206i | ||||
\(250\) | −6.03270 | − | 9.41311i | −0.381541 | − | 0.595337i | ||||
\(251\) | −6.52244 | − | 17.9203i | −0.411693 | − | 1.13112i | −0.956290 | − | 0.292419i | \(-0.905540\pi\) |
0.544598 | − | 0.838698i | \(-0.316682\pi\) | |||||||
\(252\) | −2.24153 | + | 1.88615i | −0.141203 | + | 0.118816i | ||||
\(253\) | 24.5544 | − | 2.14823i | 1.54372 | − | 0.135058i | ||||
\(254\) | −2.22698 | + | 3.85724i | −0.139733 | + | 0.242025i | ||||
\(255\) | −2.92321 | − | 1.35745i | −0.183059 | − | 0.0850068i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 12.7929 | + | 18.2701i | 0.797998 | + | 1.13966i | 0.987475 | + | 0.157774i | \(0.0504317\pi\) |
−0.189478 | + | 0.981885i | \(0.560679\pi\) | |||||||
\(258\) | 2.15440 | + | 2.80366i | 0.134127 | + | 0.174548i | ||||
\(259\) | 7.83063 | + | 4.52102i | 0.486572 | + | 0.280922i | ||||
\(260\) | 6.91079 | + | 1.52554i | 0.428589 | + | 0.0946102i | ||||
\(261\) | −2.65813 | − | 0.228854i | −0.164534 | − | 0.0141657i | ||||
\(262\) | −0.152018 | − | 0.0708873i | −0.00939172 | − | 0.00437943i | ||||
\(263\) | −9.38046 | − | 0.820684i | −0.578424 | − | 0.0506055i | −0.205810 | − | 0.978592i | \(-0.565983\pi\) |
−0.372614 | + | 0.927986i | \(0.621538\pi\) | |||||||
\(264\) | −4.33182 | + | 8.33542i | −0.266605 | + | 0.513009i | ||||
\(265\) | −24.4220 | + | 12.7413i | −1.50023 | + | 0.782693i | ||||
\(266\) | −4.25638 | + | 0.0288145i | −0.260975 | + | 0.00176673i | ||||
\(267\) | 2.82177 | + | 21.3196i | 0.172689 | + | 1.30474i | ||||
\(268\) | 9.15037 | + | 6.40716i | 0.558948 | + | 0.391380i | ||||
\(269\) | 9.11644 | − | 7.64961i | 0.555839 | − | 0.466405i | −0.321073 | − | 0.947054i | \(-0.604044\pi\) |
0.876913 | + | 0.480650i | \(0.159599\pi\) | |||||||
\(270\) | −3.94141 | + | 10.9300i | −0.239867 | + | 0.665180i | ||||
\(271\) | 21.0937 | + | 7.67748i | 1.28135 | + | 0.466374i | 0.890879 | − | 0.454241i | \(-0.150089\pi\) |
0.390472 | + | 0.920615i | \(0.372312\pi\) | |||||||
\(272\) | −0.829013 | + | 0.0725292i | −0.0502663 | + | 0.00439773i | ||||
\(273\) | −4.94707 | − | 2.04514i | −0.299411 | − | 0.123778i | ||||
\(274\) | −10.7874 | + | 6.22811i | −0.651691 | + | 0.376254i | ||||
\(275\) | 19.2096 | + | 19.1404i | 1.15838 | + | 1.15421i | ||||
\(276\) | 5.79990 | − | 5.32200i | 0.349113 | − | 0.320347i | ||||
\(277\) | −0.769861 | + | 2.87316i | −0.0462564 | + | 0.172631i | −0.985190 | − | 0.171468i | \(-0.945149\pi\) |
0.938933 | + | 0.344099i | \(0.111816\pi\) | |||||||
\(278\) | −12.7125 | + | 3.40630i | −0.762445 | + | 0.204297i | ||||
\(279\) | −11.7376 | − | 5.45358i | −0.702710 | − | 0.326497i | ||||
\(280\) | 1.73351 | + | 1.32768i | 0.103597 | + | 0.0793443i | ||||
\(281\) | 8.60404 | + | 23.6394i | 0.513274 | + | 1.41021i | 0.877805 | + | 0.479018i | \(0.159007\pi\) |
−0.364531 | + | 0.931191i | \(0.618771\pi\) | |||||||
\(282\) | 8.89157 | − | 9.71692i | 0.529485 | − | 0.578634i | ||||
\(283\) | 3.70130 | + | 2.59168i | 0.220019 | + | 0.154059i | 0.678390 | − | 0.734702i | \(-0.262678\pi\) |
−0.458371 | + | 0.888761i | \(0.651567\pi\) | |||||||
\(284\) | −15.4308 | −0.915651 | ||||||||
\(285\) | −14.5491 | + | 8.56294i | −0.861814 | + | 0.507225i | ||||
\(286\) | −17.1655 | −1.01502 | ||||||||
\(287\) | −9.13590 | − | 6.39703i | −0.539275 | − | 0.377605i | ||||
\(288\) | 0.525027 | + | 2.95370i | 0.0309375 | + | 0.174048i | ||||
\(289\) | −5.57749 | − | 15.3240i | −0.328087 | − | 0.901413i | ||||
\(290\) | 0.261341 | + | 1.97133i | 0.0153465 | + | 0.115761i | ||||
\(291\) | −8.57201 | + | 1.90658i | −0.502500 | + | 0.111766i | ||||
\(292\) | −3.98001 | + | 1.06644i | −0.232912 | + | 0.0624086i | ||||
\(293\) | −7.42990 | + | 27.7288i | −0.434060 | + | 1.61993i | 0.309247 | + | 0.950982i | \(0.399923\pi\) |
−0.743307 | + | 0.668951i | \(0.766744\pi\) | |||||||
\(294\) | 7.08062 | + | 7.71643i | 0.412950 | + | 0.450031i | ||||
\(295\) | −4.73431 | − | 2.45910i | −0.275642 | − | 0.143174i | ||||
\(296\) | 8.01906 | − | 4.62980i | 0.466098 | − | 0.269102i | ||||
\(297\) | 3.62049 | − | 27.9479i | 0.210082 | − | 1.62170i | ||||
\(298\) | −10.8519 | + | 0.949419i | −0.628634 | + | 0.0549984i | ||||
\(299\) | 13.5165 | + | 4.91960i | 0.781680 | + | 0.284508i | ||||
\(300\) | 8.58896 | + | 1.10896i | 0.495884 | + | 0.0640257i | ||||
\(301\) | −1.52706 | + | 1.28135i | −0.0880182 | + | 0.0738560i | ||||
\(302\) | 17.5150 | + | 12.2641i | 1.00787 | + | 0.705721i | ||||
\(303\) | 3.20559 | − | 0.424278i | 0.184156 | − | 0.0243741i | ||||
\(304\) | −2.15384 | + | 3.78958i | −0.123531 | + | 0.217348i | ||||
\(305\) | 1.67348 | − | 5.32434i | 0.0958231 | − | 0.304871i | ||||
\(306\) | 2.26117 | − | 1.05821i | 0.129263 | − | 0.0604938i | ||||
\(307\) | −14.2406 | − | 1.24589i | −0.812756 | − | 0.0711069i | −0.326804 | − | 0.945092i | \(-0.605972\pi\) |
−0.485952 | + | 0.873985i | \(0.661527\pi\) | |||||||
\(308\) | −4.79989 | − | 2.23822i | −0.273499 | − | 0.127535i | ||||
\(309\) | 0.989005 | + | 1.55006i | 0.0562625 | + | 0.0881799i | ||||
\(310\) | −2.07947 | + | 9.42009i | −0.118106 | + | 0.535025i | ||||
\(311\) | 0.756960 | + | 0.437031i | 0.0429233 | + | 0.0247818i | 0.521308 | − | 0.853369i | \(-0.325444\pi\) |
−0.478385 | + | 0.878150i | \(0.658778\pi\) | |||||||
\(312\) | −4.34682 | + | 3.34021i | −0.246090 | + | 0.189102i | ||||
\(313\) | 1.52587 | + | 2.17917i | 0.0862472 | + | 0.123174i | 0.859957 | − | 0.510366i | \(-0.170490\pi\) |
−0.773710 | + | 0.633540i | \(0.781601\pi\) | |||||||
\(314\) | 2.54124 | − | 14.4121i | 0.143410 | − | 0.813320i | ||||
\(315\) | −6.25188 | − | 1.95552i | −0.352254 | − | 0.110181i | ||||
\(316\) | −2.22242 | + | 3.84935i | −0.125021 | + | 0.216543i | ||||
\(317\) | 3.33527 | − | 0.291798i | 0.187327 | − | 0.0163890i | 0.00689398 | − | 0.999976i | \(-0.497806\pi\) |
0.180433 | + | 0.983587i | \(0.442250\pi\) | |||||||
\(318\) | 4.60377 | − | 20.8344i | 0.258166 | − | 1.16833i | ||||
\(319\) | −1.64965 | − | 4.53237i | −0.0923625 | − | 0.253764i | ||||
\(320\) | 2.06508 | − | 0.857570i | 0.115442 | − | 0.0479396i | ||||
\(321\) | 13.3253 | − | 25.6409i | 0.743747 | − | 1.43114i | ||||
\(322\) | 3.13807 | + | 3.13807i | 0.174878 | + | 0.174878i | ||||
\(323\) | 3.51006 | + | 0.915096i | 0.195305 | + | 0.0509173i | ||||
\(324\) | −4.52153 | − | 7.78176i | −0.251196 | − | 0.432320i | ||||
\(325\) | 5.43931 | + | 14.8609i | 0.301719 | + | 0.824333i | ||||
\(326\) | −11.5055 | − | 13.7118i | −0.637232 | − | 0.759424i | ||||
\(327\) | 2.46327 | − | 1.28446i | 0.136219 | − | 0.0710307i | ||||
\(328\) | −10.3512 | + | 4.82683i | −0.571547 | + | 0.266517i | ||||
\(329\) | 5.68840 | + | 4.77313i | 0.313611 | + | 0.263151i | ||||
\(330\) | −20.9223 | + | 1.86407i | −1.15174 | + | 0.102613i | ||||
\(331\) | 3.79766 | + | 6.57774i | 0.208738 | + | 0.361545i | 0.951317 | − | 0.308213i | \(-0.0997310\pi\) |
−0.742579 | + | 0.669758i | \(0.766398\pi\) | |||||||
\(332\) | 5.14701 | + | 7.35069i | 0.282479 | + | 0.403421i | ||||
\(333\) | −17.8265 | + | 21.3045i | −0.976884 | + | 1.16748i | ||||
\(334\) | −14.8260 | + | 8.55982i | −0.811245 | + | 0.468372i | ||||
\(335\) | −1.06701 | + | 24.9553i | −0.0582970 | + | 1.36345i | ||||
\(336\) | −1.65101 | + | 0.367217i | −0.0900699 | + | 0.0200333i | ||||
\(337\) | 8.56192 | + | 18.3611i | 0.466398 | + | 1.00019i | 0.989041 | + | 0.147641i | \(0.0471681\pi\) |
−0.522643 | + | 0.852551i | \(0.675054\pi\) | |||||||
\(338\) | 2.70327 | + | 1.26056i | 0.147039 | + | 0.0685653i | ||||
\(339\) | 1.01781 | + | 22.9477i | 0.0552796 | + | 1.24635i | ||||
\(340\) | −1.13412 | − | 1.47526i | −0.0615063 | − | 0.0800070i | ||||
\(341\) | − | 23.3983i | − | 1.26709i | ||||||
\(342\) | 2.16569 | − | 12.8961i | 0.117107 | − | 0.697342i | ||||
\(343\) | −9.00846 | + | 9.00846i | −0.486411 | + | 0.486411i | ||||
\(344\) | 0.354485 | + | 2.01039i | 0.0191126 | + | 0.108393i | ||||
\(345\) | 17.0090 | + | 4.52850i | 0.915732 | + | 0.243807i | ||||
\(346\) | −5.45060 | + | 1.98386i | −0.293026 | + | 0.106653i | ||||
\(347\) | −9.53547 | + | 4.44646i | −0.511891 | + | 0.238699i | −0.661361 | − | 0.750067i | \(-0.730021\pi\) |
0.149470 | + | 0.988766i | \(0.452243\pi\) | |||||||
\(348\) | −1.29969 | − | 0.826730i | −0.0696705 | − | 0.0443174i | ||||
\(349\) | 26.8791 | + | 15.5186i | 1.43880 | + | 0.830694i | 0.997767 | − | 0.0667952i | \(-0.0212774\pi\) |
0.441037 | + | 0.897489i | \(0.354611\pi\) | |||||||
\(350\) | −0.416760 | + | 4.86470i | −0.0222768 | + | 0.260029i | ||||
\(351\) | 8.80758 | − | 13.8886i | 0.470114 | − | 0.741318i | ||||
\(352\) | −4.44269 | + | 3.11081i | −0.236796 | + | 0.165807i | ||||
\(353\) | 3.67339 | − | 13.7093i | 0.195515 | − | 0.729671i | −0.796618 | − | 0.604483i | \(-0.793380\pi\) |
0.992133 | − | 0.125188i | \(-0.0399535\pi\) | |||||||
\(354\) | 3.81672 | − | 1.58403i | 0.202857 | − | 0.0841902i | ||||
\(355\) | −18.5654 | − | 29.0840i | −0.985352 | − | 1.54362i | ||||
\(356\) | −4.24660 | + | 11.6674i | −0.225069 | + | 0.618373i | ||||
\(357\) | 0.650778 | + | 1.24803i | 0.0344428 | + | 0.0660525i | ||||
\(358\) | −0.589342 | + | 6.73621i | −0.0311477 | + | 0.356020i | ||||
\(359\) | 1.03486 | + | 5.86897i | 0.0546177 | + | 0.309752i | 0.999862 | − | 0.0166112i | \(-0.00528775\pi\) |
−0.945244 | + | 0.326364i | \(0.894177\pi\) | |||||||
\(360\) | −4.93544 | + | 4.54328i | −0.260121 | + | 0.239452i | ||||
\(361\) | 14.3882 | − | 12.4089i | 0.757272 | − | 0.653100i | ||||
\(362\) | 5.54980 | − | 5.54980i | 0.291691 | − | 0.291691i | ||||
\(363\) | 30.4122 | − | 9.61205i | 1.59623 | − | 0.504502i | ||||
\(364\) | −1.98662 | − | 2.36757i | −0.104127 | − | 0.124094i | ||||
\(365\) | −6.79852 | − | 6.21842i | −0.355851 | − | 0.325487i | ||||
\(366\) | 2.32534 | + | 3.64449i | 0.121547 | + | 0.190500i | ||||
\(367\) | −1.53850 | − | 17.5851i | −0.0803088 | − | 0.917934i | −0.924322 | − | 0.381612i | \(-0.875369\pi\) |
0.844014 | − | 0.536322i | \(-0.180187\pi\) | |||||||
\(368\) | 4.38983 | − | 1.17625i | 0.228836 | − | 0.0613163i | ||||
\(369\) | 24.1946 | − | 24.2616i | 1.25952 | − | 1.26301i | ||||
\(370\) | 18.3743 | + | 9.54398i | 0.955233 | + | 0.496168i | ||||
\(371\) | 11.8467 | + | 2.08889i | 0.615049 | + | 0.108450i | ||||
\(372\) | −4.55303 | − | 5.92514i | −0.236064 | − | 0.307204i | ||||
\(373\) | −3.19947 | − | 11.9406i | −0.165662 | − | 0.618259i | −0.997955 | − | 0.0639230i | \(-0.979639\pi\) |
0.832293 | − | 0.554336i | \(-0.187028\pi\) | |||||||
\(374\) | 3.45742 | + | 2.90112i | 0.178779 | + | 0.150013i | ||||
\(375\) | 8.24356 | + | 17.5227i | 0.425696 | + | 0.904866i | ||||
\(376\) | 7.14575 | − | 2.60084i | 0.368514 | − | 0.134128i | ||||
\(377\) | 0.245318 | − | 2.80399i | 0.0126345 | − | 0.144413i | ||||
\(378\) | 4.27376 | − | 2.73516i | 0.219818 | − | 0.140681i | ||||
\(379\) | 10.0904i | 0.518309i | 0.965836 | + | 0.259155i | \(0.0834440\pi\) | ||||
−0.965836 | + | 0.259155i | \(0.916556\pi\) | |||||||
\(380\) | −9.73397 | + | 0.499842i | −0.499342 | + | 0.0256414i | ||||
\(381\) | 4.69204 | − | 6.12355i | 0.240381 | − | 0.313719i | ||||
\(382\) | −8.54265 | + | 12.2002i | −0.437080 | + | 0.624215i | ||||
\(383\) | −11.4574 | − | 1.00240i | −0.585448 | − | 0.0512201i | −0.209416 | − | 0.977827i | \(-0.567156\pi\) |
−0.376032 | + | 0.926607i | \(0.622712\pi\) | |||||||
\(384\) | −0.519696 | + | 1.65225i | −0.0265206 | + | 0.0843158i | ||||
\(385\) | −1.55634 | − | 11.7397i | −0.0793184 | − | 0.598311i | ||||
\(386\) | 2.04783 | − | 2.44051i | 0.104232 | − | 0.124219i | ||||
\(387\) | −3.06943 | − | 5.29947i | −0.156028 | − | 0.269387i | ||||
\(388\) | −4.89723 | − | 1.31221i | −0.248619 | − | 0.0666174i | ||||
\(389\) | 0.0809062 | − | 0.458842i | 0.00410211 | − | 0.0232642i | −0.982688 | − | 0.185268i | \(-0.940685\pi\) |
0.986790 | + | 0.162004i | \(0.0517957\pi\) | |||||||
\(390\) | −11.5254 | − | 4.17413i | −0.583613 | − | 0.211365i | ||||
\(391\) | −1.89100 | − | 3.27530i | −0.0956318 | − | 0.165639i | ||||
\(392\) | 1.56493 | + | 5.84041i | 0.0790411 | + | 0.294985i | ||||
\(393\) | 0.245132 | + | 0.155929i | 0.0123653 | + | 0.00786556i | ||||
\(394\) | 6.18799 | − | 17.0014i | 0.311746 | − | 0.856516i | ||||
\(395\) | −9.92912 | + | 0.442492i | −0.499588 | + | 0.0222642i | ||||
\(396\) | 9.31399 | − | 13.3410i | 0.468046 | − | 0.670408i | ||||
\(397\) | −0.727290 | + | 1.03868i | −0.0365016 | + | 0.0521297i | −0.836988 | − | 0.547221i | \(-0.815686\pi\) |
0.800486 | + | 0.599351i | \(0.204575\pi\) | |||||||
\(398\) | 7.28495 | + | 7.28495i | 0.365162 | + | 0.365162i | ||||
\(399\) | 7.31634 | + | 0.907737i | 0.366275 | + | 0.0454437i | ||||
\(400\) | 4.10093 | + | 2.86049i | 0.205046 | + | 0.143024i | ||||
\(401\) | −6.13890 | + | 1.08245i | −0.306562 | + | 0.0540552i | −0.324813 | − | 0.945778i | \(-0.605301\pi\) |
0.0182509 | + | 0.999833i | \(0.494190\pi\) | |||||||
\(402\) | −14.2738 | − | 13.0614i | −0.711914 | − | 0.651445i | ||||
\(403\) | 5.77065 | − | 12.3752i | 0.287457 | − | 0.616453i | ||||
\(404\) | 1.75430 | + | 0.638513i | 0.0872797 | + | 0.0317672i | ||||
\(405\) | 9.22700 | − | 17.8847i | 0.458493 | − | 0.888698i | ||||
\(406\) | 0.434212 | − | 0.752077i | 0.0215496 | − | 0.0373249i | ||||
\(407\) | −48.5085 | − | 12.9978i | −2.40448 | − | 0.644278i | ||||
\(408\) | 1.44005 | + | 0.0618769i | 0.0712930 | + | 0.00306336i | ||||
\(409\) | −11.5683 | − | 2.03980i | −0.572015 | − | 0.100862i | −0.119844 | − | 0.992793i | \(-0.538239\pi\) |
−0.452171 | + | 0.891931i | \(0.649350\pi\) | |||||||
\(410\) | −21.5515 | − | 13.7025i | −1.06435 | − | 0.676717i | ||||
\(411\) | 19.9268 | − | 8.27010i | 0.982918 | − | 0.407934i | ||||
\(412\) | 0.0925223 | + | 1.05754i | 0.00455825 | + | 0.0521010i | ||||
\(413\) | 0.984603 | + | 2.11149i | 0.0484491 | + | 0.103900i | ||||
\(414\) | −11.1575 | + | 7.83560i | −0.548364 | + | 0.385099i | ||||
\(415\) | −7.66197 | + | 18.5450i | −0.376111 | + | 0.910336i | ||||
\(416\) | −3.11692 | + | 0.549598i | −0.152820 | + | 0.0269462i | ||||
\(417\) | 22.5984 | − | 2.99102i | 1.10665 | − | 0.146471i | ||||
\(418\) | 22.7931 | − | 6.27308i | 1.11485 | − | 0.306826i | ||||
\(419\) | −22.2294 | −1.08598 | −0.542989 | − | 0.839740i | \(-0.682707\pi\) | ||||
−0.542989 | + | 0.839740i | \(0.682707\pi\) | |||||||
\(420\) | −2.67852 | − | 2.67000i | −0.130698 | − | 0.130283i | ||||
\(421\) | −28.6542 | + | 24.0437i | −1.39652 | + | 1.17182i | −0.433901 | + | 0.900960i | \(0.642863\pi\) |
−0.962619 | + | 0.270859i | \(0.912692\pi\) | |||||||
\(422\) | 1.03510 | − | 2.21979i | 0.0503880 | − | 0.108057i | ||||
\(423\) | −17.4555 | + | 14.6881i | −0.848717 | + | 0.714159i | ||||
\(424\) | 7.91843 | − | 9.43682i | 0.384553 | − | 0.458293i | ||||
\(425\) | 1.41605 | − | 3.91253i | 0.0686886 | − | 0.189785i | ||||
\(426\) | 26.5007 | + | 3.47026i | 1.28396 | + | 0.168135i | ||||
\(427\) | −1.99653 | + | 1.39799i | −0.0966189 | + | 0.0676533i | ||||
\(428\) | 13.6664 | − | 9.56929i | 0.660588 | − | 0.462549i | ||||
\(429\) | 29.4798 | + | 3.86037i | 1.42330 | + | 0.186380i | ||||
\(430\) | −3.36267 | + | 3.08691i | −0.162162 | + | 0.148864i | ||||
\(431\) | −13.8538 | + | 16.5103i | −0.667314 | + | 0.795274i | −0.988416 | − | 0.151771i | \(-0.951502\pi\) |
0.321102 | + | 0.947045i | \(0.395947\pi\) | |||||||
\(432\) | −0.237414 | − | 5.19073i | −0.0114226 | − | 0.249739i | ||||
\(433\) | 12.9274 | − | 27.7229i | 0.621252 | − | 1.33228i | −0.303908 | − | 0.952702i | \(-0.598291\pi\) |
0.925160 | − | 0.379578i | \(-0.123931\pi\) | |||||||
\(434\) | 3.22723 | − | 2.70796i | 0.154912 | − | 0.129986i | ||||
\(435\) | −0.00548827 | − | 3.44432i | −0.000263142 | − | 0.165142i | ||||
\(436\) | 1.60390 | 0.0768130 | ||||||||
\(437\) | −19.7457 | − | 1.59291i | −0.944564 | − | 0.0761991i | ||||
\(438\) | 7.07505 | − | 0.936422i | 0.338059 | − | 0.0447440i | ||||
\(439\) | −38.1351 | + | 6.72425i | −1.82009 | + | 0.320931i | −0.976411 | − | 0.215920i | \(-0.930725\pi\) |
−0.843678 | + | 0.536850i | \(0.819614\pi\) | |||||||
\(440\) | −11.2084 | − | 4.63083i | −0.534340 | − | 0.220766i | ||||
\(441\) | −10.4248 | − | 14.8445i | −0.496420 | − | 0.706880i | ||||
\(442\) | 1.11311 | + | 2.38708i | 0.0529454 | + | 0.113542i | ||||
\(443\) | −2.23041 | − | 25.4937i | −0.105970 | − | 1.21124i | −0.843951 | − | 0.536420i | \(-0.819776\pi\) |
0.737982 | − | 0.674821i | \(-0.235779\pi\) | |||||||
\(444\) | −14.8130 | + | 6.14776i | −0.702996 | + | 0.291760i | ||||
\(445\) | −27.1000 | + | 6.03358i | −1.28466 | + | 0.286019i | ||||
\(446\) | 17.7621 | + | 3.13193i | 0.841058 | + | 0.148301i | ||||
\(447\) | 18.8505 | + | 0.809978i | 0.891596 | + | 0.0383107i | ||||
\(448\) | −0.943230 | − | 0.252738i | −0.0445634 | − | 0.0119407i | ||||
\(449\) | −2.30404 | + | 3.99072i | −0.108735 | + | 0.188334i | −0.915258 | − | 0.402869i | \(-0.868013\pi\) |
0.806523 | + | 0.591202i | \(0.201347\pi\) | |||||||
\(450\) | −14.5012 | − | 3.83609i | −0.683592 | − | 0.180835i | ||||
\(451\) | 58.2077 | + | 21.1859i | 2.74090 | + | 0.997604i | ||||
\(452\) | −5.60471 | + | 12.0193i | −0.263623 | + | 0.565342i | ||||
\(453\) | −27.3220 | − | 25.0012i | −1.28370 | − | 1.17466i | ||||
\(454\) | −1.27318 | + | 0.224496i | −0.0597533 | + | 0.0105361i | ||||
\(455\) | 2.07219 | − | 6.59289i | 0.0971459 | − | 0.309080i | ||||
\(456\) | 4.55123 | − | 6.02381i | 0.213131 | − | 0.282091i | ||||
\(457\) | −28.7087 | − | 28.7087i | −1.34294 | − | 1.34294i | −0.893122 | − | 0.449815i | \(-0.851490\pi\) |
−0.449815 | − | 0.893122i | \(-0.648510\pi\) | |||||||
\(458\) | 6.10319 | − | 8.71626i | 0.285183 | − | 0.407284i | ||||
\(459\) | −4.12129 | + | 1.30884i | −0.192365 | + | 0.0610913i | ||||
\(460\) | 7.49857 | + | 6.85874i | 0.349623 | + | 0.319790i | ||||
\(461\) | −6.98898 | + | 19.2021i | −0.325509 | + | 0.894330i | 0.663723 | + | 0.747978i | \(0.268975\pi\) |
−0.989233 | + | 0.146351i | \(0.953247\pi\) | |||||||
\(462\) | 7.73991 | + | 4.92335i | 0.360093 | + | 0.229055i | ||||
\(463\) | −4.41162 | − | 16.4644i | −0.205026 | − | 0.765166i | −0.989442 | − | 0.144931i | \(-0.953704\pi\) |
0.784416 | − | 0.620235i | \(-0.212963\pi\) | |||||||
\(464\) | −0.444660 | − | 0.770173i | −0.0206428 | − | 0.0357544i | ||||
\(465\) | 5.68975 | − | 15.7103i | 0.263856 | − | 0.728548i | ||||
\(466\) | 0.272967 | − | 1.54807i | 0.0126449 | − | 0.0717130i | ||||
\(467\) | 13.9547 | + | 3.73914i | 0.645744 | + | 0.173027i | 0.566804 | − | 0.823853i | \(-0.308180\pi\) |
0.0789404 | + | 0.996879i | \(0.474846\pi\) | |||||||
\(468\) | 8.21636 | − | 4.75887i | 0.379801 | − | 0.219979i | ||||
\(469\) | 7.01157 | − | 8.35607i | 0.323764 | − | 0.385847i | ||||
\(470\) | 13.4994 | + | 10.3391i | 0.622681 | + | 0.476908i | ||||
\(471\) | −7.60544 | + | 24.1796i | −0.350440 | + | 1.11414i | ||||
\(472\) | 2.37675 | + | 0.207939i | 0.109399 | + | 0.00957115i | ||||
\(473\) | 6.35040 | − | 9.06931i | 0.291992 | − | 0.417007i | ||||
\(474\) | 4.68245 | − | 6.11102i | 0.215072 | − | 0.280689i | ||||
\(475\) | −12.6534 | − | 17.7452i | −0.580579 | − | 0.814204i | ||||
\(476\) | 0.812626i | 0.0372466i | ||||||||
\(477\) | −12.5919 | + | 34.7454i | −0.576545 | + | 1.59088i | ||||
\(478\) | −0.597533 | + | 6.82984i | −0.0273305 | + | 0.312389i | ||||
\(479\) | 39.1699 | − | 14.2567i | 1.78972 | − | 0.651404i | 0.790475 | − | 0.612494i | \(-0.209834\pi\) |
0.999243 | − | 0.0389099i | \(-0.0123885\pi\) | |||||||
\(480\) | −3.73941 | + | 1.00836i | −0.170680 | + | 0.0460252i | ||||
\(481\) | −22.4503 | − | 18.8380i | −1.02364 | − | 0.858939i | ||||
\(482\) | 0.572771 | + | 2.13761i | 0.0260890 | + | 0.0973655i | ||||
\(483\) | −4.68356 | − | 6.09501i | −0.213109 | − | 0.277332i | ||||
\(484\) | 18.1349 | + | 3.19766i | 0.824312 | + | 0.145348i | ||||
\(485\) | −3.41881 | − | 10.8091i | −0.155240 | − | 0.490814i | ||||
\(486\) | 6.01517 | + | 14.3812i | 0.272854 | + | 0.652343i | ||||
\(487\) | −0.290934 | + | 0.0779555i | −0.0131835 | + | 0.00353250i | −0.265405 | − | 0.964137i | \(-0.585506\pi\) |
0.252221 | + | 0.967670i | \(0.418839\pi\) | |||||||
\(488\) | 0.217537 | + | 2.48646i | 0.00984746 | + | 0.112557i | ||||
\(489\) | 16.6758 | + | 26.1359i | 0.754106 | + | 1.18191i | ||||
\(490\) | −9.12515 | + | 9.97642i | −0.412232 | + | 0.450689i | ||||
\(491\) | −19.0557 | − | 22.7097i | −0.859973 | − | 1.02488i | −0.999400 | − | 0.0346437i | \(-0.988970\pi\) |
0.139427 | − | 0.990232i | \(-0.455474\pi\) | |||||||
\(492\) | 18.8625 | − | 5.96165i | 0.850386 | − | 0.268772i | ||||
\(493\) | −0.523311 | + | 0.523311i | −0.0235687 | + | 0.0235687i | ||||
\(494\) | 13.6023 | + | 2.30361i | 0.611995 | + | 0.103644i | ||||
\(495\) | 36.3510 | + | 1.50393i | 1.63386 | + | 0.0675965i | ||||
\(496\) | −0.749156 | − | 4.24867i | −0.0336381 | − | 0.190771i | ||||
\(497\) | −1.31328 | + | 15.0109i | −0.0589089 | + | 0.673331i | ||||
\(498\) | −7.18630 | − | 13.7815i | −0.322026 | − | 0.617564i | ||||
\(499\) | 7.60533 | − | 20.8955i | 0.340461 | − | 0.935410i | −0.644800 | − | 0.764352i | \(-0.723059\pi\) |
0.985261 | − | 0.171058i | \(-0.0547185\pi\) | |||||||
\(500\) | −0.457439 | + | 11.1710i | −0.0204573 | + | 0.499581i | ||||
\(501\) | 27.3871 | − | 11.3663i | 1.22357 | − | 0.507808i | ||||
\(502\) | −4.93577 | + | 18.4205i | −0.220294 | + | 0.822149i | ||||
\(503\) | 20.6249 | − | 14.4417i | 0.919620 | − | 0.643925i | −0.0148793 | − | 0.999889i | \(-0.504736\pi\) |
0.934500 | + | 0.355964i | \(0.115848\pi\) | |||||||
\(504\) | 2.91801 | − | 0.259357i | 0.129978 | − | 0.0115527i | ||||
\(505\) | 0.907202 | + | 4.07472i | 0.0403700 | + | 0.181323i | ||||
\(506\) | −21.3460 | − | 12.3241i | −0.948945 | − | 0.547873i | ||||
\(507\) | −4.35908 | − | 2.77281i | −0.193594 | − | 0.123145i | ||||
\(508\) | 4.03665 | − | 1.88232i | 0.179098 | − | 0.0835146i | ||||
\(509\) | 27.3556 | − | 9.95663i | 1.21252 | − | 0.441320i | 0.344941 | − | 0.938625i | \(-0.387899\pi\) |
0.867576 | + | 0.497305i | \(0.165677\pi\) | |||||||
\(510\) | 1.61595 | + | 2.78864i | 0.0715556 | + | 0.123483i | ||||
\(511\) | 0.698689 | + | 3.96246i | 0.0309082 | + | 0.175289i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −6.61956 | + | 21.6606i | −0.292261 | + | 0.956339i | ||||
\(514\) | − | 22.3037i | − | 0.983774i | ||||||
\(515\) | −1.88192 | + | 1.44675i | −0.0829273 | + | 0.0637513i | ||||
\(516\) | −0.156671 | − | 3.53234i | −0.00689705 | − | 0.155502i | ||||
\(517\) | −37.3783 | − | 17.4298i | −1.64390 | − | 0.766561i | ||||
\(518\) | −3.82133 | − | 8.19487i | −0.167900 | − | 0.360062i | ||||
\(519\) | 9.80696 | − | 2.18126i | 0.430478 | − | 0.0957467i | ||||
\(520\) | −4.78597 | − | 5.21352i | −0.209879 | − | 0.228628i | ||||
\(521\) | −26.2672 | + | 15.1654i | −1.15079 | + | 0.664407i | −0.949079 | − | 0.315038i | \(-0.897983\pi\) |
−0.201708 | + | 0.979446i | \(0.564649\pi\) | |||||||
\(522\) | 2.04614 | + | 1.71210i | 0.0895573 | + | 0.0749368i | ||||
\(523\) | −1.41528 | − | 2.02122i | −0.0618857 | − | 0.0883819i | 0.787016 | − | 0.616932i | \(-0.211625\pi\) |
−0.848902 | + | 0.528550i | \(0.822736\pi\) | |||||||
\(524\) | 0.0838668 | + | 0.145262i | 0.00366374 | + | 0.00634578i | ||||
\(525\) | 1.80977 | − | 8.26085i | 0.0789847 | − | 0.360533i | ||||
\(526\) | 7.21330 | + | 6.05267i | 0.314515 | + | 0.263909i | ||||
\(527\) | −3.25383 | + | 1.51728i | −0.141739 | + | 0.0660939i | ||||
\(528\) | 8.32942 | − | 4.34334i | 0.362492 | − | 0.189020i | ||||
\(529\) | −1.50787 | − | 1.79701i | −0.0655596 | − | 0.0781309i | ||||
\(530\) | 27.3135 | + | 3.57081i | 1.18642 | + | 0.155106i | ||||
\(531\) | −6.91103 | + | 1.86205i | −0.299913 | + | 0.0808060i | ||||
\(532\) | 3.50315 | + | 2.41776i | 0.151881 | + | 0.104823i | ||||
\(533\) | 25.5607 | + | 25.5607i | 1.10716 | + | 1.10716i | ||||
\(534\) | 9.91696 | − | 19.0825i | 0.429149 | − | 0.825780i | ||||
\(535\) | 34.4787 | + | 14.2451i | 1.49064 | + | 0.615869i | ||||
\(536\) | −3.82055 | − | 10.4969i | −0.165023 | − | 0.453396i | ||||
\(537\) | 2.52704 | − | 11.4362i | 0.109050 | − | 0.493506i | ||||
\(538\) | −11.8554 | + | 1.03721i | −0.511122 | + | 0.0447174i | ||||
\(539\) | 16.3965 | − | 28.3996i | 0.706248 | − | 1.22326i | ||||
\(540\) | 9.49781 | − | 6.69265i | 0.408721 | − | 0.288006i | ||||
\(541\) | −6.25817 | + | 35.4918i | −0.269060 | + | 1.52591i | 0.488160 | + | 0.872754i | \(0.337668\pi\) |
−0.757220 | + | 0.653160i | \(0.773443\pi\) | |||||||
\(542\) | −12.8753 | − | 18.3879i | −0.553043 | − | 0.789827i | ||||
\(543\) | −10.7793 | + | 8.28306i | −0.462583 | + | 0.355460i | ||||
\(544\) | 0.720688 | + | 0.416090i | 0.0308993 | + | 0.0178397i | ||||
\(545\) | 1.92972 | + | 3.02303i | 0.0826601 | + | 0.129492i | ||||
\(546\) | 2.87936 | + | 4.51281i | 0.123225 | + | 0.193130i | ||||
\(547\) | 15.8519 | + | 7.39188i | 0.677780 | + | 0.316054i | 0.730851 | − | 0.682537i | \(-0.239123\pi\) |
−0.0530715 | + | 0.998591i | \(0.516901\pi\) | |||||||
\(548\) | 12.4088 | + | 1.08563i | 0.530079 | + | 0.0463759i | ||||
\(549\) | −3.17389 | − | 6.78195i | −0.135458 | − | 0.289447i | ||||
\(550\) | −4.75712 | − | 26.6971i | −0.202844 | − | 1.13837i | ||||
\(551\) | 0.698967 | + | 3.81292i | 0.0297770 | + | 0.162436i | ||||
\(552\) | −7.80357 | + | 1.03285i | −0.332142 | + | 0.0439609i | ||||
\(553\) | 3.55545 | + | 2.48955i | 0.151193 | + | 0.105867i | ||||
\(554\) | 2.27861 | − | 1.91198i | 0.0968088 | − | 0.0812322i | ||||
\(555\) | −29.4094 | − | 20.5229i | −1.24836 | − | 0.871150i | ||||
\(556\) | 12.3672 | + | 4.50131i | 0.524488 | + | 0.190898i | ||||
\(557\) | −31.4112 | + | 2.74812i | −1.33094 | + | 0.116442i | −0.730325 | − | 0.683100i | \(-0.760631\pi\) |
−0.600611 | + | 0.799542i | \(0.705076\pi\) | |||||||
\(558\) | 6.48681 | + | 11.1997i | 0.274608 | + | 0.474121i | ||||
\(559\) | 5.59543 | − | 3.23052i | 0.236661 | − | 0.136637i | ||||
\(560\) | −0.658478 | − | 2.08187i | −0.0278258 | − | 0.0879752i | ||||
\(561\) | −5.28530 | − | 5.75990i | −0.223146 | − | 0.243183i | ||||
\(562\) | 6.51099 | − | 24.2993i | 0.274650 | − | 1.02501i | ||||
\(563\) | −26.2405 | + | 7.03111i | −1.10590 | + | 0.296326i | −0.765166 | − | 0.643833i | \(-0.777343\pi\) |
−0.340737 | + | 0.940159i | \(0.610677\pi\) | |||||||
\(564\) | −12.8569 | + | 2.85964i | −0.541375 | + | 0.120413i | ||||
\(565\) | −29.3972 | + | 3.89721i | −1.23675 | + | 0.163957i | ||||
\(566\) | −1.54540 | − | 4.24596i | −0.0649581 | − | 0.178471i | ||||
\(567\) | −7.95481 | + | 3.73619i | −0.334071 | + | 0.156905i | ||||
\(568\) | 12.6402 | + | 8.85076i | 0.530371 | + | 0.371370i | ||||
\(569\) | 8.02284 | 0.336335 | 0.168168 | − | 0.985758i | \(-0.446215\pi\) | ||||
0.168168 | + | 0.985758i | \(0.446215\pi\) | |||||||
\(570\) | 16.8294 | + | 1.33066i | 0.704907 | + | 0.0557353i | ||||
\(571\) | 26.6225 | 1.11412 | 0.557059 | − | 0.830473i | \(-0.311930\pi\) | ||||
0.557059 | + | 0.830473i | \(0.311930\pi\) | |||||||
\(572\) | 14.0611 | + | 9.84572i | 0.587926 | + | 0.411670i | ||||
\(573\) | 17.4148 | − | 19.0313i | 0.727512 | − | 0.795042i | ||||
\(574\) | 3.81451 | + | 10.4803i | 0.159215 | + | 0.437438i | ||||
\(575\) | −3.90549 | + | 22.3853i | −0.162870 | + | 0.933531i | ||||
\(576\) | 1.26410 | − | 2.72067i | 0.0526707 | − | 0.113361i | ||||
\(577\) | 19.1647 | − | 5.13515i | 0.797835 | − | 0.213779i | 0.163202 | − | 0.986593i | \(-0.447818\pi\) |
0.634633 | + | 0.772814i | \(0.281151\pi\) | |||||||
\(578\) | −4.22069 | + | 15.7518i | −0.175557 | + | 0.655189i | ||||
\(579\) | −4.06577 | + | 3.73076i | −0.168968 | + | 0.155045i | ||||
\(580\) | 0.916632 | − | 1.76472i | 0.0380611 | − | 0.0732760i | ||||
\(581\) | 7.58870 | − | 4.38134i | 0.314832 | − | 0.181769i | ||||
\(582\) | 8.11535 | + | 3.35492i | 0.336392 | + | 0.139066i | ||||
\(583\) | −66.5576 | + | 5.82304i | −2.75653 | + | 0.241165i | ||||
\(584\) | 3.87191 | + | 1.40926i | 0.160221 | + | 0.0583157i | ||||
\(585\) | 18.8549 | + | 9.76057i | 0.779555 | + | 0.403550i | ||||
\(586\) | 21.9908 | − | 18.4525i | 0.908431 | − | 0.762264i | ||||
\(587\) | 30.7838 | + | 21.5550i | 1.27058 | + | 0.889672i | 0.997384 | − | 0.0722858i | \(-0.0230294\pi\) |
0.273199 | + | 0.961958i | \(0.411918\pi\) | |||||||
\(588\) | −1.37414 | − | 10.3822i | −0.0566687 | − | 0.428155i | ||||
\(589\) | −3.14005 | + | 18.5412i | −0.129383 | + | 0.763978i | ||||
\(590\) | 2.46764 | + | 4.72987i | 0.101591 | + | 0.194726i | ||||
\(591\) | −14.4506 | + | 27.8063i | −0.594420 | + | 1.14380i | ||||
\(592\) | −9.22437 | − | 0.807028i | −0.379119 | − | 0.0331687i | ||||
\(593\) | 0.305637 | + | 0.142521i | 0.0125510 | + | 0.00585263i | 0.428884 | − | 0.903360i | \(-0.358907\pi\) |
−0.416333 | + | 0.909212i | \(0.636685\pi\) | |||||||
\(594\) | −18.9960 | + | 20.8170i | −0.779415 | + | 0.854131i | ||||
\(595\) | −1.53163 | + | 0.977702i | −0.0627908 | + | 0.0400819i | ||||
\(596\) | 9.43393 | + | 5.44668i | 0.386429 | + | 0.223105i | ||||
\(597\) | −10.8728 | − | 14.1494i | −0.444993 | − | 0.579097i | ||||
\(598\) | −8.25030 | − | 11.7827i | −0.337380 | − | 0.481828i | ||||
\(599\) | 0.461204 | − | 2.61562i | 0.0188443 | − | 0.106871i | −0.973935 | − | 0.226828i | \(-0.927164\pi\) |
0.992779 | + | 0.119957i | \(0.0382756\pi\) | |||||||
\(600\) | −6.39959 | − | 5.83483i | −0.261262 | − | 0.238206i | ||||
\(601\) | −11.3512 | + | 19.6609i | −0.463025 | + | 0.801983i | −0.999110 | − | 0.0421811i | \(-0.986569\pi\) |
0.536085 | + | 0.844164i | \(0.319903\pi\) | |||||||
\(602\) | 1.98585 | − | 0.173739i | 0.0809371 | − | 0.00708108i | ||||
\(603\) | 21.5763 | + | 25.6416i | 0.878656 | + | 1.04421i | ||||
\(604\) | −7.31303 | − | 20.0924i | −0.297563 | − | 0.817547i | ||||
\(605\) | 15.7918 | + | 38.0277i | 0.642029 | + | 1.54605i | ||||
\(606\) | −2.86922 | − | 1.49110i | −0.116554 | − | 0.0605719i | ||||
\(607\) | −10.1732 | − | 10.1732i | −0.412918 | − | 0.412918i | 0.469836 | − | 0.882754i | \(-0.344313\pi\) |
−0.882754 | + | 0.469836i | \(0.844313\pi\) | |||||||
\(608\) | 3.93794 | − | 1.86885i | 0.159705 | − | 0.0757919i | ||||
\(609\) | −0.914846 | + | 1.19396i | −0.0370714 | + | 0.0483816i | ||||
\(610\) | −4.42475 | + | 3.40158i | −0.179153 | + | 0.137726i | ||||
\(611\) | −15.4705 | − | 18.4370i | −0.625870 | − | 0.745882i | ||||
\(612\) | −2.45921 | − | 0.430121i | −0.0994075 | − | 0.0173866i | ||||
\(613\) | 25.8527 | − | 12.0553i | 1.04418 | − | 0.486910i | 0.176641 | − | 0.984275i | \(-0.443477\pi\) |
0.867541 | + | 0.497365i | \(0.165699\pi\) | |||||||
\(614\) | 10.9506 | + | 9.18867i | 0.441931 | + | 0.370824i | ||||
\(615\) | 33.9307 | + | 28.3792i | 1.36822 | + | 1.14436i | ||||
\(616\) | 2.64804 | + | 4.58655i | 0.106693 | + | 0.184797i | ||||
\(617\) | 7.86614 | + | 11.2340i | 0.316679 | + | 0.452264i | 0.945660 | − | 0.325156i | \(-0.105417\pi\) |
−0.628982 | + | 0.777420i | \(0.716528\pi\) | |||||||
\(618\) | 0.0789336 | − | 1.83701i | 0.00317518 | − | 0.0738952i | ||||
\(619\) | −15.7747 | + | 9.10752i | −0.634038 | + | 0.366062i | −0.782314 | − | 0.622884i | \(-0.785961\pi\) |
0.148276 | + | 0.988946i | \(0.452628\pi\) | |||||||
\(620\) | 7.10654 | − | 6.52375i | 0.285406 | − | 0.262000i | ||||
\(621\) | 20.9240 | − | 10.9475i | 0.839651 | − | 0.439310i | ||||
\(622\) | −0.369395 | − | 0.792169i | −0.0148114 | − | 0.0317631i | ||||
\(623\) | 10.9885 | + | 5.12403i | 0.440245 | + | 0.205290i | ||||
\(624\) | 5.47657 | − | 0.242904i | 0.219238 | − | 0.00972394i | ||||
\(625\) | −21.6054 | + | 12.5781i | −0.864215 | + | 0.503123i | ||||
\(626\) | − | 2.66027i | − | 0.106326i | ||||||
\(627\) | −40.5554 | + | 5.64734i | −1.61963 | + | 0.225533i | ||||
\(628\) | −10.3481 | + | 10.3481i | −0.412934 | + | 0.412934i | ||||
\(629\) | 1.33807 | + | 7.58859i | 0.0533525 | + | 0.302577i | ||||
\(630\) | 3.99960 | + | 5.18780i | 0.159348 | + | 0.206687i | ||||
\(631\) | −1.29808 | + | 0.472463i | −0.0516758 | + | 0.0188085i | −0.367729 | − | 0.929933i | \(-0.619865\pi\) |
0.316053 | + | 0.948742i | \(0.397642\pi\) | |||||||
\(632\) | 4.02840 | − | 1.87847i | 0.160241 | − | 0.0747216i | ||||
\(633\) | −2.27688 | + | 3.57945i | −0.0904981 | + | 0.142270i | ||||
\(634\) | −2.89946 | − | 1.67400i | −0.115152 | − | 0.0664832i | ||||
\(635\) | 8.40445 | + | 5.34357i | 0.333520 | + | 0.212053i | ||||
\(636\) | −15.7213 | + | 14.4259i | −0.623390 | + | 0.572024i | ||||
\(637\) | 15.6761 | − | 10.9765i | 0.621111 | − | 0.434907i | ||||
\(638\) | −1.24835 | + | 4.65890i | −0.0494226 | + | 0.184448i | ||||
\(639\) | −44.7316 | − | 11.9196i | −1.76956 | − | 0.471531i | ||||
\(640\) | −2.18350 | − | 0.482004i | −0.0863104 | − | 0.0190529i | ||||
\(641\) | 11.0270 | − | 30.2964i | 0.435540 | − | 1.19664i | −0.506825 | − | 0.862049i | \(-0.669181\pi\) |
0.942365 | − | 0.334587i | \(-0.108597\pi\) | |||||||
\(642\) | −25.6225 | + | 13.3607i | −1.01124 | + | 0.527306i | ||||
\(643\) | 0.801739 | − | 9.16392i | 0.0316175 | − | 0.361390i | −0.963861 | − | 0.266405i | \(-0.914164\pi\) |
0.995479 | − | 0.0949848i | \(-0.0302802\pi\) | |||||||
\(644\) | −0.770633 | − | 4.37048i | −0.0303672 | − | 0.172221i | ||||
\(645\) | 6.46923 | − | 4.54519i | 0.254726 | − | 0.178966i | ||||
\(646\) | −2.35040 | − | 2.76289i | −0.0924751 | − | 0.108704i | ||||
\(647\) | 13.5416 | − | 13.5416i | 0.532377 | − | 0.532377i | −0.388902 | − | 0.921279i | \(-0.627146\pi\) |
0.921279 | + | 0.388902i | \(0.127146\pi\) | |||||||
\(648\) | −0.759616 | + | 8.96789i | −0.0298405 | + | 0.352292i | ||||
\(649\) | −8.31742 | − | 9.91231i | −0.326487 | − | 0.389092i | ||||
\(650\) | 4.06823 | − | 15.2932i | 0.159569 | − | 0.599848i | ||||
\(651\) | −6.15140 | + | 3.92485i | −0.241092 | + | 0.153827i | ||||
\(652\) | 1.56004 | + | 17.8313i | 0.0610958 | + | 0.698328i | ||||
\(653\) | −45.4569 | + | 12.1801i | −1.77887 | + | 0.476646i | −0.990376 | − | 0.138403i | \(-0.955803\pi\) |
−0.788489 | + | 0.615048i | \(0.789137\pi\) | |||||||
\(654\) | −2.75452 | − | 0.360704i | −0.107710 | − | 0.0141046i | ||||
\(655\) | −0.172885 | + | 0.332842i | −0.00675517 | + | 0.0130052i | ||||
\(656\) | 11.2477 | + | 1.98328i | 0.439150 | + | 0.0774340i | ||||
\(657\) | −12.3612 | + | 0.0170840i | −0.482256 | + | 0.000666512i | ||||
\(658\) | −1.92191 | − | 7.17265i | −0.0749237 | − | 0.279619i | ||||
\(659\) | 18.3160 | + | 15.3689i | 0.713489 | + | 0.598689i | 0.925576 | − | 0.378562i | \(-0.123581\pi\) |
−0.212087 | + | 0.977251i | \(0.568026\pi\) | |||||||
\(660\) | 18.2078 | + | 10.4736i | 0.708736 | + | 0.407685i | ||||
\(661\) | 22.8096 | − | 8.30203i | 0.887192 | − | 0.322912i | 0.142084 | − | 0.989855i | \(-0.454620\pi\) |
0.745109 | + | 0.666943i | \(0.232398\pi\) | |||||||
\(662\) | 0.661976 | − | 7.56642i | 0.0257284 | − | 0.294077i | ||||
\(663\) | −1.37482 | − | 4.34988i | −0.0533934 | − | 0.168935i | ||||
\(664\) | − | 8.97353i | − | 0.348240i | ||||||
\(665\) | −0.342197 | + | 9.51162i | −0.0132698 | + | 0.368845i | ||||
\(666\) | 26.8223 | − | 7.22677i | 1.03934 | − | 0.280032i | ||||
\(667\) | 2.31821 | − | 3.31075i | 0.0897615 | − | 0.128193i | ||||
\(668\) | 17.0545 | + | 1.49207i | 0.659858 | + | 0.0577301i | ||||
\(669\) | −29.8000 | − | 9.37328i | −1.15214 | − | 0.362392i | ||||
\(670\) | 15.1878 | − | 19.8302i | 0.586756 | − | 0.766106i | ||||
\(671\) | 8.70136 | − | 10.3699i | 0.335912 | − | 0.400325i | ||||
\(672\) | 1.56305 | + | 0.646173i | 0.0602961 | + | 0.0249267i | ||||
\(673\) | 20.2790 | + | 5.43375i | 0.781699 | + | 0.209456i | 0.627534 | − | 0.778589i | \(-0.284064\pi\) |
0.154165 | + | 0.988045i | \(0.450731\pi\) | |||||||
\(674\) | 3.51798 | − | 19.9514i | 0.135507 | − | 0.768501i | ||||
\(675\) | 24.0415 | + | 9.84925i | 0.925357 | + | 0.379098i | ||||
\(676\) | −1.49137 | − | 2.58312i | −0.0573602 | − | 0.0993508i | ||||
\(677\) | 2.81301 | + | 10.4983i | 0.108113 | + | 0.403482i | 0.998680 | − | 0.0513702i | \(-0.0163588\pi\) |
−0.890567 | + | 0.454852i | \(0.849692\pi\) | |||||||
\(678\) | 12.3285 | − | 19.3814i | 0.473474 | − | 0.744339i | ||||
\(679\) | −1.69329 | + | 4.65229i | −0.0649827 | + | 0.178538i | ||||
\(680\) | 0.0828449 | + | 1.85896i | 0.00317696 | + | 0.0712880i | ||||
\(681\) | 2.23703 | − | 0.0992197i | 0.0857232 | − | 0.00380211i | ||||
\(682\) | −13.4207 | + | 19.1667i | −0.513905 | + | 0.733932i | ||||
\(683\) | −15.9176 | − | 15.9176i | −0.609068 | − | 0.609068i | 0.333634 | − | 0.942703i | \(-0.391725\pi\) |
−0.942703 | + | 0.333634i | \(0.891725\pi\) | |||||||
\(684\) | −9.17094 | + | 9.32169i | −0.350660 | + | 0.356424i | ||||
\(685\) | 12.8834 | + | 24.6943i | 0.492248 | + | 0.943520i | ||||
\(686\) | 12.5463 | − | 2.21226i | 0.479022 | − | 0.0844644i | ||||
\(687\) | −12.4418 | + | 13.5966i | −0.474683 | + | 0.518745i | ||||
\(688\) | 0.862733 | − | 1.85014i | 0.0328914 | − | 0.0705358i | ||||
\(689\) | −36.6380 | − | 13.3352i | −1.39580 | − | 0.508029i | ||||
\(690\) | −11.3355 | − | 13.4655i | −0.431535 | − | 0.512622i | ||||
\(691\) | 18.0471 | − | 31.2585i | 0.686544 | − | 1.18913i | −0.286405 | − | 0.958109i | \(-0.592460\pi\) |
0.972949 | − | 0.231020i | \(-0.0742064\pi\) | |||||||
\(692\) | 5.60277 | + | 1.50126i | 0.212985 | + | 0.0570692i | ||||
\(693\) | −12.1852 | − | 10.1959i | −0.462878 | − | 0.387312i | ||||
\(694\) | 10.3614 | + | 1.82699i | 0.393313 | + | 0.0693517i | ||||
\(695\) | 6.39548 | + | 28.7254i | 0.242594 | + | 1.08962i | ||||
\(696\) | 0.590449 | + | 1.42269i | 0.0223809 | + | 0.0539268i | ||||
\(697\) | −0.828374 | − | 9.46835i | −0.0313769 | − | 0.358639i | ||||
\(698\) | −13.1169 | − | 28.1293i | −0.496483 | − | 1.06471i | ||||
\(699\) | −0.816938 | + | 2.59725i | −0.0308994 | + | 0.0982371i | ||||
\(700\) | 3.13166 | − | 3.74588i | 0.118366 | − | 0.141581i | ||||
\(701\) | −4.39747 | + | 0.775393i | −0.166090 | + | 0.0292862i | −0.256075 | − | 0.966657i | \(-0.582429\pi\) |
0.0899845 | + | 0.995943i | \(0.471318\pi\) | |||||||
\(702\) | −15.1809 | + | 6.32504i | −0.572967 | + | 0.238723i | ||||
\(703\) | 36.6948 | + | 16.8096i | 1.38397 | + | 0.633985i | ||||
\(704\) | 5.42352 | 0.204407 | ||||||||
\(705\) | −20.8585 | − | 20.7922i | −0.785578 | − | 0.783078i | ||||
\(706\) | −10.8724 | + | 9.12301i | −0.409187 | + | 0.343349i | ||||
\(707\) | 0.770442 | − | 1.65222i | 0.0289755 | − | 0.0621381i | ||||
\(708\) | −4.03504 | − | 0.891622i | −0.151646 | − | 0.0335092i | ||||
\(709\) | −18.2120 | + | 21.7043i | −0.683967 | + | 0.815120i | −0.990612 | − | 0.136704i | \(-0.956349\pi\) |
0.306645 | + | 0.951824i | \(0.400794\pi\) | |||||||
\(710\) | −1.47395 | + | 34.4729i | −0.0553165 | + | 1.29374i | ||||
\(711\) | −9.41590 | + | 9.44196i | −0.353124 | + | 0.354101i | ||||
\(712\) | 10.1708 | − | 7.12165i | 0.381166 | − | 0.266895i | ||||
\(713\) | 16.0609 | − | 11.2460i | 0.601486 | − | 0.421165i | ||||
\(714\) | 0.182752 | − | 1.39559i | 0.00683934 | − | 0.0522288i | ||||
\(715\) | −1.63965 | + | 38.3482i | −0.0613193 | + | 1.43414i | ||||
\(716\) | 4.34649 | − | 5.17995i | 0.162436 | − | 0.193584i | ||||
\(717\) | 2.56217 | − | 11.5951i | 0.0956859 | − | 0.433027i | ||||
\(718\) | 2.51860 | − | 5.40115i | 0.0939932 | − | 0.201569i | ||||
\(719\) | 1.35864 | − | 1.14003i | 0.0506686 | − | 0.0425160i | −0.617102 | − | 0.786883i | \(-0.711693\pi\) |
0.667770 | + | 0.744367i | \(0.267249\pi\) | |||||||
\(720\) | 6.64880 | − | 0.890788i | 0.247786 | − | 0.0331977i | ||||
\(721\) | 1.03663 | 0.0386062 | ||||||||
\(722\) | −18.9035 | + | 1.91207i | −0.703517 | + | 0.0711597i | ||||
\(723\) | −0.502941 | − | 3.79992i | −0.0187046 | − | 0.141321i | ||||
\(724\) | −7.72937 | + | 1.36290i | −0.287260 | + | 0.0506516i | ||||
\(725\) | 4.42897 | − | 0.395541i | 0.164488 | − | 0.0146900i | ||||
\(726\) | −30.4255 | − | 9.57000i | −1.12920 | − | 0.355176i | ||||
\(727\) | −5.42347 | − | 11.6307i | −0.201145 | − | 0.431358i | 0.779698 | − | 0.626156i | \(-0.215373\pi\) |
−0.980843 | + | 0.194798i | \(0.937595\pi\) | |||||||
\(728\) | 0.269367 | + | 3.07888i | 0.00998340 | + | 0.114111i | ||||
\(729\) | −7.09619 | − | 26.0508i | −0.262822 | − | 0.964844i | ||||
\(730\) | 2.00228 | + | 8.99331i | 0.0741078 | + | 0.332857i | ||||
\(731\) | −1.67300 | − | 0.294995i | −0.0618782 | − | 0.0109108i | ||||
\(732\) | 0.185588 | − | 4.31915i | 0.00685952 | − | 0.159640i | ||||
\(733\) | −36.4818 | − | 9.77526i | −1.34749 | − | 0.361058i | −0.488279 | − | 0.872687i | \(-0.662375\pi\) |
−0.859206 | + | 0.511630i | \(0.829042\pi\) | |||||||
\(734\) | −8.82613 | + | 15.2873i | −0.325778 | + | 0.564265i | ||||
\(735\) | 17.9150 | − | 15.0812i | 0.660806 | − | 0.556279i | ||||
\(736\) | −4.27061 | − | 1.55437i | −0.157417 | − | 0.0572950i | ||||
\(737\) | −25.6038 | + | 54.9075i | −0.943127 | + | 2.02254i | ||||
\(738\) | −33.7349 | + | 5.99646i | −1.24180 | + | 0.220733i | ||||
\(739\) | 36.4384 | − | 6.42507i | 1.34041 | − | 0.236350i | 0.542970 | − | 0.839752i | \(-0.317300\pi\) |
0.797437 | + | 0.603402i | \(0.206188\pi\) | |||||||
\(740\) | −9.57713 | − | 18.3570i | −0.352062 | − | 0.674818i | ||||
\(741\) | −22.8423 | − | 7.01523i | −0.839133 | − | 0.257711i | ||||
\(742\) | −8.50610 | − | 8.50610i | −0.312269 | − | 0.312269i | ||||
\(743\) | −4.69065 | + | 6.69895i | −0.172083 | + | 0.245760i | −0.895925 | − | 0.444206i | \(-0.853486\pi\) |
0.723841 | + | 0.689966i | \(0.242375\pi\) | |||||||
\(744\) | 0.331102 | + | 7.46510i | 0.0121388 | + | 0.273684i | ||||
\(745\) | 1.08445 | + | 24.3341i | 0.0397313 | + | 0.891534i | ||||
\(746\) | −4.22798 | + | 11.6163i | −0.154797 | + | 0.425302i | ||||
\(747\) | 9.24234 | + | 25.2843i | 0.338159 | + | 0.925105i | ||||
\(748\) | −1.16814 | − | 4.35956i | −0.0427114 | − | 0.159401i | ||||
\(749\) | −8.14576 | − | 14.1089i | −0.297640 | − | 0.515527i | ||||
\(750\) | 3.29786 | − | 19.0820i | 0.120421 | − | 0.696777i | ||||
\(751\) | 2.68206 | − | 15.2107i | 0.0978696 | − | 0.555046i | −0.895961 | − | 0.444134i | \(-0.853512\pi\) |
0.993830 | − | 0.110912i | \(-0.0353773\pi\) | |||||||
\(752\) | −7.34524 | − | 1.96815i | −0.267853 | − | 0.0717711i | ||||
\(753\) | 12.6192 | − | 30.5252i | 0.459871 | − | 1.11240i | ||||
\(754\) | −1.80926 | + | 2.15619i | −0.0658892 | + | 0.0785237i | ||||
\(755\) | 29.0714 | − | 37.9575i | 1.05802 | − | 1.38141i | ||||
\(756\) | −5.06968 | − | 0.210818i | −0.184382 | − | 0.00766737i | ||||
\(757\) | −31.5968 | − | 2.76437i | −1.14841 | − | 0.100473i | −0.502982 | − | 0.864297i | \(-0.667764\pi\) |
−0.645424 | + | 0.763824i | \(0.723319\pi\) | |||||||
\(758\) | 5.78762 | − | 8.26558i | 0.210216 | − | 0.300219i | ||||
\(759\) | 33.8878 | + | 25.9658i | 1.23005 | + | 0.942499i | ||||
\(760\) | 8.26030 | + | 5.17373i | 0.299633 | + | 0.187671i | ||||
\(761\) | − | 40.2179i | − | 1.45790i | −0.684568 | − | 0.728949i | \(-0.740009\pi\) | ||
0.684568 | − | 0.728949i | \(-0.259991\pi\) | |||||||
\(762\) | −7.35582 | + | 2.32487i | −0.266473 | + | 0.0842212i | ||||
\(763\) | 0.136505 | − | 1.56026i | 0.00494180 | − | 0.0564851i | ||||
\(764\) | 13.9955 | − | 5.09393i | 0.506338 | − | 0.184292i | ||||
\(765\) | −2.14808 | − | 5.15260i | −0.0776640 | − | 0.186293i | ||||
\(766\) | 8.81044 | + | 7.39284i | 0.318334 | + | 0.267114i | ||||
\(767\) | −1.95439 | − | 7.29386i | −0.0705688 | − | 0.263366i | ||||
\(768\) | 1.37340 | − | 1.05536i | 0.0495583 | − | 0.0380818i | ||||
\(769\) | 30.3644 | + | 5.35406i | 1.09497 | + | 0.193072i | 0.691825 | − | 0.722065i | \(-0.256807\pi\) |
0.403143 | + | 0.915137i | \(0.367918\pi\) | |||||||
\(770\) | −5.45874 | + | 10.5093i | −0.196719 | + | 0.378728i | ||||
\(771\) | −5.01591 | + | 38.3041i | −0.180643 | + | 1.37949i | ||||
\(772\) | −3.07730 | + | 0.824561i | −0.110755 | + | 0.0296766i | ||||
\(773\) | −2.52232 | − | 28.8302i | −0.0907215 | − | 1.03695i | −0.896000 | − | 0.444055i | \(-0.853540\pi\) |
0.805278 | − | 0.592897i | \(-0.202016\pi\) | |||||||
\(774\) | −0.525327 | + | 6.10163i | −0.0188825 | + | 0.219318i | ||||
\(775\) | 20.8461 | + | 5.54539i | 0.748814 | + | 0.199196i | ||||
\(776\) | 3.25893 | + | 3.88384i | 0.116989 | + | 0.139422i | ||||
\(777\) | 4.71975 | + | 14.9332i | 0.169320 | + | 0.535724i | ||||
\(778\) | −0.329456 | + | 0.329456i | −0.0118116 | + | 0.0118116i | ||||
\(779\) | −43.2818 | − | 24.5996i | −1.55073 | − | 0.881372i | ||||
\(780\) | 7.04690 | + | 10.0300i | 0.252320 | + | 0.359130i | ||||
\(781\) | −14.5325 | − | 82.4181i | −0.520015 | − | 2.94915i | ||||
\(782\) | −0.329622 | + | 3.76760i | −0.0117873 | + | 0.134729i | ||||
\(783\) | −3.12899 | − | 3.40051i | −0.111821 | − | 0.121524i | ||||
\(784\) | 2.06800 | − | 5.68180i | 0.0738573 | − | 0.202921i | ||||
\(785\) | −31.9542 | − | 7.05383i | −1.14050 | − | 0.251762i | ||||
\(786\) | −0.111364 | − | 0.268331i | −0.00397222 | − | 0.00957107i | ||||
\(787\) | 13.4127 | − | 50.0568i | 0.478110 | − | 1.78433i | −0.131152 | − | 0.991362i | \(-0.541868\pi\) |
0.609262 | − | 0.792969i | \(-0.291466\pi\) | |||||||
\(788\) | −14.8205 | + | 10.3774i | −0.527958 | + | 0.369680i | ||||
\(789\) | −11.0268 | − | 12.0170i | −0.392566 | − | 0.427817i | ||||
\(790\) | 8.38726 | + | 5.33264i | 0.298405 | + | 0.189727i | ||||
\(791\) | 11.2153 | + | 6.47513i | 0.398769 | + | 0.230229i | ||||
\(792\) | −15.2816 | + | 5.58599i | −0.543009 | + | 0.198489i | ||||
\(793\) | 7.15959 | − | 3.33857i | 0.254245 | − | 0.118556i | ||||
\(794\) | 1.19152 | − | 0.433678i | 0.0422855 | − | 0.0153907i | ||||
\(795\) | −46.1048 | − | 12.2750i | −1.63517 | − | 0.435351i | ||||
\(796\) | −1.78901 | − | 10.1460i | −0.0634096 | − | 0.359614i | ||||
\(797\) | −3.57028 | + | 3.57028i | −0.126466 | + | 0.126466i | −0.767507 | − | 0.641041i | \(-0.778503\pi\) |
0.641041 | + | 0.767507i | \(0.278503\pi\) | |||||||
\(798\) | −5.47254 | − | 4.94005i | −0.193726 | − | 0.174876i | ||||
\(799\) | 6.32818i | 0.223875i | ||||||||
\(800\) | −1.71858 | − | 4.69537i | −0.0607609 | − | 0.166006i | ||||
\(801\) | −21.3228 | + | 30.5418i | −0.753403 | + | 1.07914i | ||||
\(802\) | 5.64956 | + | 2.63443i | 0.199493 | + | 0.0930251i | ||||
\(803\) | −9.44430 | − | 20.2534i | −0.333282 | − | 0.714726i | ||||
\(804\) | 4.20071 | + | 18.8864i | 0.148148 | + | 0.666073i | ||||
\(805\) | 7.31028 | − | 6.71078i | 0.257653 | − | 0.236524i | ||||
\(806\) | −11.8252 | + | 6.82726i | −0.416524 | + | 0.240480i | ||||
\(807\) | 20.5936 | + | 0.884877i | 0.724928 | + | 0.0311491i | ||||
\(808\) | −1.07080 | − | 1.52927i | −0.0376707 | − | 0.0537994i | ||||
\(809\) | −2.38403 | − | 4.12927i | −0.0838182 | − | 0.145177i | 0.821069 | − | 0.570829i | \(-0.193378\pi\) |
−0.904887 | + | 0.425652i | \(0.860045\pi\) | |||||||
\(810\) | −17.8166 | + | 9.35790i | −0.626010 | + | 0.328803i | ||||
\(811\) | 9.06439 | + | 7.60593i | 0.318294 | + | 0.267080i | 0.787910 | − | 0.615790i | \(-0.211163\pi\) |
−0.469616 | + | 0.882871i | \(0.655608\pi\) | |||||||
\(812\) | −0.787059 | + | 0.367012i | −0.0276204 | + | 0.0128796i | ||||
\(813\) | 17.9767 | + | 34.4747i | 0.630469 | + | 1.20908i | ||||
\(814\) | 32.2806 | + | 38.4705i | 1.13143 | + | 1.34839i | ||||
\(815\) | −31.7314 | + | 24.3939i | −1.11150 | + | 0.854481i | ||||
\(816\) | −1.14413 | − | 0.876664i | −0.0400525 | − | 0.0306894i | ||||
\(817\) | −6.24928 | + | 6.33447i | −0.218635 | + | 0.221615i | ||||
\(818\) | 8.30621 | + | 8.30621i | 0.290420 | + | 0.290420i | ||||
\(819\) | −3.93009 | − | 8.39779i | −0.137329 | − | 0.293442i | ||||
\(820\) | 9.79452 | + | 23.5858i | 0.342039 | + | 0.823653i | ||||
\(821\) | 3.70057 | + | 10.1672i | 0.129151 | + | 0.354839i | 0.987367 | − | 0.158449i | \(-0.0506494\pi\) |
−0.858216 | + | 0.513288i | \(0.828427\pi\) | |||||||
\(822\) | −21.0666 | − | 4.65509i | −0.734783 | − | 0.162365i | ||||
\(823\) | 28.8890 | − | 2.52746i | 1.00701 | − | 0.0881018i | 0.428300 | − | 0.903637i | \(-0.359113\pi\) |
0.578708 | + | 0.815535i | \(0.303557\pi\) | |||||||
\(824\) | 0.530787 | − | 0.919351i | 0.0184909 | − | 0.0320271i | ||||
\(825\) | 2.16587 | + | 46.9191i | 0.0754060 | + | 1.63351i | ||||
\(826\) | 0.404560 | − | 2.29437i | 0.0140764 | − | 0.0798315i | ||||
\(827\) | 14.6762 | + | 20.9597i | 0.510340 | + | 0.728841i | 0.988796 | − | 0.149270i | \(-0.0476925\pi\) |
−0.478457 | + | 0.878111i | \(0.658804\pi\) | |||||||
\(828\) | 13.6340 | − | 0.0188432i | 0.473816 | − | 0.000654846i | ||||
\(829\) | 34.8837 | + | 20.1401i | 1.21156 | + | 0.699495i | 0.963099 | − | 0.269147i | \(-0.0867418\pi\) |
0.248461 | + | 0.968642i | \(0.420075\pi\) | |||||||
\(830\) | 16.9133 | − | 10.7964i | 0.587068 | − | 0.374749i | ||||
\(831\) | −4.34324 | + | 2.77117i | −0.150665 | + | 0.0961309i | ||||
\(832\) | 2.86847 | + | 1.33759i | 0.0994463 | + | 0.0463726i | ||||
\(833\) | −5.01258 | − | 0.438544i | −0.173675 | − | 0.0151946i | ||||
\(834\) | −20.2271 | − | 10.5118i | −0.700406 | − | 0.363993i | ||||
\(835\) | 17.7067 | + | 33.9394i | 0.612765 | + | 1.17452i | ||||
\(836\) | −22.2691 | − | 7.93499i | −0.770194 | − | 0.274437i | ||||
\(837\) | −8.62165 | − | 20.6931i | −0.298008 | − | 0.715257i | ||||
\(838\) | 18.2093 | + | 12.7503i | 0.629029 | + | 0.440451i | ||||
\(839\) | −27.5663 | + | 23.1308i | −0.951693 | + | 0.798565i | −0.979582 | − | 0.201046i | \(-0.935566\pi\) |
0.0278890 | + | 0.999611i | \(0.491122\pi\) | |||||||
\(840\) | 0.662668 | + | 3.72347i | 0.0228642 | + | 0.128472i | ||||
\(841\) | 26.5079 | + | 9.64808i | 0.914065 | + | 0.332693i | ||||
\(842\) | 37.2631 | − | 3.26010i | 1.28417 | − | 0.112350i | ||||
\(843\) | −16.6466 | + | 40.2672i | −0.573340 | + | 1.38687i | ||||
\(844\) | −2.12112 | + | 1.22463i | −0.0730121 | + | 0.0421536i | ||||
\(845\) | 3.07434 | − | 5.91878i | 0.105760 | − | 0.203612i | ||||
\(846\) | 22.7235 | − | 2.01970i | 0.781249 | − | 0.0694386i | ||||
\(847\) | 4.65407 | − | 17.3692i | 0.159916 | − | 0.596813i | ||||
\(848\) | −11.8991 | + | 3.18836i | −0.408618 | + | 0.109489i | ||||
\(849\) | 1.69918 | + | 7.63951i | 0.0583156 | + | 0.262187i | ||||
\(850\) | −3.40409 | + | 2.39274i | −0.116759 | + | 0.0820703i | ||||
\(851\) | −14.3929 | − | 39.5442i | −0.493382 | − | 1.35556i | ||||
\(852\) | −19.7177 | − | 18.0429i | −0.675516 | − | 0.618138i | ||||
\(853\) | 9.85786 | + | 6.90255i | 0.337527 | + | 0.236339i | 0.730035 | − | 0.683410i | \(-0.239504\pi\) |
−0.392508 | + | 0.919748i | \(0.628393\pi\) | |||||||
\(854\) | 2.43731 | 0.0834032 | ||||||||
\(855\) | −28.6034 | − | 6.07005i | −0.978216 | − | 0.207591i | ||||
\(856\) | −16.6835 | −0.570232 | ||||||||
\(857\) | −7.11898 | − | 4.98476i | −0.243180 | − | 0.170276i | 0.445633 | − | 0.895216i | \(-0.352979\pi\) |
−0.688812 | + | 0.724940i | \(0.741868\pi\) | |||||||
\(858\) | −21.9342 | − | 20.0712i | −0.748823 | − | 0.685218i | ||||
\(859\) | 10.7552 | + | 29.5498i | 0.366964 | + | 1.00823i | 0.976510 | + | 0.215474i | \(0.0691297\pi\) |
−0.609546 | + | 0.792751i | \(0.708648\pi\) | |||||||
\(860\) | 4.52512 | − | 0.599898i | 0.154305 | − | 0.0204563i | ||||
\(861\) | −4.19407 | − | 18.8566i | −0.142934 | − | 0.642630i | ||||
\(862\) | 20.8183 | − | 5.57825i | 0.709074 | − | 0.189996i | ||||
\(863\) | 5.45560 | − | 20.3606i | 0.185711 | − | 0.693082i | −0.808767 | − | 0.588130i | \(-0.799864\pi\) |
0.994477 | − | 0.104952i | \(-0.0334689\pi\) | |||||||
\(864\) | −2.78280 | + | 4.38817i | −0.0946728 | + | 0.149289i | ||||
\(865\) | 3.91135 | + | 12.3663i | 0.132990 | + | 0.420467i | ||||
\(866\) | −26.4907 | + | 15.2944i | −0.900192 | + | 0.519726i | ||||
\(867\) | 10.7910 | − | 26.1028i | 0.366482 | − | 0.886497i | ||||
\(868\) | −4.19681 | + | 0.367174i | −0.142449 | + | 0.0124627i | ||||
\(869\) | −22.6529 | − | 8.24499i | −0.768447 | − | 0.279692i | ||||
\(870\) | −1.97108 | + | 2.82457i | −0.0668260 | + | 0.0957618i | ||||
\(871\) | −27.0834 | + | 22.7257i | −0.917685 | + | 0.770029i | ||||
\(872\) | −1.31384 | − | 0.919961i | −0.0444922 | − | 0.0311538i | ||||
\(873\) | −13.1827 | − | 7.58677i | −0.446167 | − | 0.256773i | ||||
\(874\) | 15.2611 | + | 12.6305i | 0.516213 | + | 0.427233i | ||||
\(875\) | 10.8281 | + | 1.39573i | 0.366055 | + | 0.0471843i | ||||
\(876\) | −6.33265 | − | 3.29101i | −0.213960 | − | 0.111193i | ||||
\(877\) | 10.7222 | + | 0.938070i | 0.362062 | + | 0.0316764i | 0.266736 | − | 0.963770i | \(-0.414055\pi\) |
0.0953266 | + | 0.995446i | \(0.469610\pi\) | |||||||
\(878\) | 35.0953 | + | 16.3652i | 1.18441 | + | 0.552299i | ||||
\(879\) | −41.9165 | + | 26.7445i | −1.41381 | + | 0.902070i | ||||
\(880\) | 6.52526 | + | 10.2222i | 0.219966 | + | 0.344591i | ||||
\(881\) | −5.02543 | − | 2.90144i | −0.169311 | − | 0.0977519i | 0.412950 | − | 0.910754i | \(-0.364498\pi\) |
−0.582261 | + | 0.813002i | \(0.697832\pi\) | |||||||
\(882\) | 0.0250698 | + | 18.1393i | 0.000844143 | + | 0.610782i | ||||
\(883\) | −27.4972 | − | 39.2700i | −0.925354 | − | 1.32154i | −0.946817 | − | 0.321772i | \(-0.895721\pi\) |
0.0214635 | − | 0.999770i | \(-0.493167\pi\) | |||||||
\(884\) | 0.457364 | − | 2.59384i | 0.0153828 | − | 0.0872402i | ||||
\(885\) | −3.17419 | − | 8.67797i | −0.106699 | − | 0.291707i | ||||
\(886\) | −12.7955 | + | 22.1625i | −0.429874 | + | 0.744564i | ||||
\(887\) | 41.8096 | − | 3.65787i | 1.40383 | − | 0.122819i | 0.640068 | − | 0.768318i | \(-0.278906\pi\) |
0.763761 | + | 0.645499i | \(0.223351\pi\) | |||||||
\(888\) | 15.6603 | + | 3.46046i | 0.525527 | + | 0.116126i | ||||
\(889\) | −1.48755 | − | 4.08701i | −0.0498908 | − | 0.137074i | ||||
\(890\) | 25.6597 | + | 10.6015i | 0.860116 | + | 0.355363i | ||||
\(891\) | 37.3051 | − | 31.4788i | 1.24977 | − | 1.05458i | ||||
\(892\) | −12.7534 | − | 12.7534i | −0.427016 | − | 0.427016i | ||||
\(893\) | 27.2802 | + | 18.8279i | 0.912897 | + | 0.630051i | ||||
\(894\) | −14.9768 | − | 11.4757i | −0.500900 | − | 0.383804i | ||||
\(895\) | 14.9926 | + | 1.96005i | 0.501147 | + | 0.0655172i | ||||
\(896\) | 0.627684 | + | 0.748045i | 0.0209695 | + | 0.0249904i | ||||
\(897\) | 11.5192 | + | 22.0908i | 0.384614 | + | 0.737591i | ||||
\(898\) | 4.17634 | − | 1.94746i | 0.139366 | − | 0.0649876i | ||||
\(899\) | −2.93910 | − | 2.46619i | −0.0980243 | − | 0.0822522i | ||||
\(900\) | 9.67838 | + | 11.4599i | 0.322613 | + | 0.381996i | ||||
\(901\) | 5.12576 | + | 8.87808i | 0.170764 | + | 0.295772i | ||||
\(902\) | −35.5293 | − | 50.7411i | −1.18300 | − | 1.68949i | ||||
\(903\) | −3.44954 | − | 0.148222i | −0.114794 | − | 0.00493252i | ||||
\(904\) | 11.4851 | − | 6.63094i | 0.381989 | − | 0.220542i | ||||
\(905\) | −11.8683 | − | 12.9285i | −0.394515 | − | 0.429759i | ||||
\(906\) | 8.04071 | + | 36.1511i | 0.267135 | + | 1.20104i | ||||
\(907\) | 5.67181 | + | 12.1632i | 0.188329 | + | 0.403873i | 0.977689 | − | 0.210057i | \(-0.0673651\pi\) |
−0.789360 | + | 0.613931i | \(0.789587\pi\) | |||||||
\(908\) | 1.17169 | + | 0.546369i | 0.0388840 | + | 0.0181319i | ||||
\(909\) | 4.59223 | + | 3.20607i | 0.152315 | + | 0.106338i | ||||
\(910\) | −5.47897 | + | 4.21202i | −0.181626 | + | 0.139627i | ||||
\(911\) | − | 8.61946i | − | 0.285575i | −0.989753 | − | 0.142788i | \(-0.954393\pi\) | ||
0.989753 | − | 0.142788i | \(-0.0456066\pi\) | |||||||
\(912\) | −7.18327 | + | 2.32394i | −0.237862 | + | 0.0769532i | ||||
\(913\) | −34.4136 | + | 34.4136i | −1.13892 | + | 1.13892i | ||||
\(914\) | 7.05016 | + | 39.9834i | 0.233198 | + | 1.32253i | ||||
\(915\) | 8.36400 | − | 4.84674i | 0.276505 | − | 0.160228i | ||||
\(916\) | −9.99888 | + | 3.63929i | −0.330372 | + | 0.120246i | ||||
\(917\) | 0.148446 | − | 0.0692216i | 0.00490213 | − | 0.00228590i | ||||
\(918\) | 4.12668 | + | 1.29174i | 0.136201 | + | 0.0426337i | ||||
\(919\) | 28.1299 | + | 16.2408i | 0.927921 | + | 0.535736i | 0.886154 | − | 0.463392i | \(-0.153368\pi\) |
0.0417677 | + | 0.999127i | \(0.486701\pi\) | |||||||
\(920\) | −2.20846 | − | 9.91935i | −0.0728108 | − | 0.327031i | ||||
\(921\) | −16.7400 | − | 18.2432i | −0.551603 | − | 0.601134i | ||||
\(922\) | 16.7389 | − | 11.7207i | 0.551266 | − | 0.386001i | ||||
\(923\) | 12.6404 | − | 47.1745i | 0.416063 | − | 1.55277i | ||||
\(924\) | −3.51625 | − | 8.47241i | −0.115676 | − | 0.278722i | ||||
\(925\) | 23.0766 | − | 40.1370i | 0.758755 | − | 1.31970i | ||||
\(926\) | −5.82980 | + | 16.0173i | −0.191579 | + | 0.526360i | ||||
\(927\) | −0.548686 | + | 3.13710i | −0.0180212 | + | 0.103036i | ||||
\(928\) | −0.0775093 | + | 0.885936i | −0.00254437 | + | 0.0290823i | ||||
\(929\) | 5.96024 | + | 33.8022i | 0.195549 | + | 1.10901i | 0.911635 | + | 0.411002i | \(0.134821\pi\) |
−0.716085 | + | 0.698013i | \(0.754068\pi\) | |||||||
\(930\) | −13.6718 | + | 9.60562i | −0.448317 | + | 0.314981i | ||||
\(931\) | −16.8041 | + | 20.3040i | −0.550733 | + | 0.665435i | ||||
\(932\) | −1.11154 | + | 1.11154i | −0.0364097 | + | 0.0364097i | ||||
\(933\) | 0.456242 | + | 1.44354i | 0.0149367 | + | 0.0472592i | ||||
\(934\) | −9.28630 | − | 11.0670i | −0.303857 | − | 0.362123i | ||||
\(935\) | 6.81144 | − | 7.44686i | 0.222758 | − | 0.243538i | ||||
\(936\) | −9.46002 | − | 0.814472i | −0.309211 | − | 0.0266218i | ||||
\(937\) | −2.74853 | − | 31.4158i | −0.0897904 | − | 1.02631i | −0.898755 | − | 0.438451i | \(-0.855527\pi\) |
0.808964 | − | 0.587858i | \(-0.200028\pi\) | |||||||
\(938\) | −10.5364 | + | 2.82322i | −0.344025 | + | 0.0921813i | ||||
\(939\) | −0.598272 | + | 4.56872i | −0.0195239 | + | 0.149095i | ||||
\(940\) | −5.12779 | − | 16.2122i | −0.167250 | − | 0.528785i | ||||
\(941\) | 42.5921 | + | 7.51014i | 1.38846 | + | 0.244824i | 0.817395 | − | 0.576078i | \(-0.195418\pi\) |
0.571069 | + | 0.820902i | \(0.306529\pi\) | |||||||
\(942\) | 20.0989 | − | 15.4445i | 0.654857 | − | 0.503209i | ||||
\(943\) | 13.4343 | + | 50.1373i | 0.437479 | + | 1.63270i | ||||
\(944\) | −1.82765 | − | 1.53358i | −0.0594850 | − | 0.0499138i | ||||
\(945\) | −5.70218 | − | 9.80895i | −0.185492 | − | 0.319085i | ||||
\(946\) | −10.4039 | + | 3.78670i | −0.338259 | + | 0.123116i | ||||
\(947\) | −3.04354 | + | 34.7878i | −0.0989016 | + | 1.13045i | 0.770869 | + | 0.636994i | \(0.219822\pi\) |
−0.869770 | + | 0.493457i | \(0.835733\pi\) | |||||||
\(948\) | −7.34078 | + | 2.32012i | −0.238417 | + | 0.0753539i | ||||
\(949\) | − | 13.0411i | − | 0.423332i | ||||||
\(950\) | 0.186873 | + | 21.7937i | 0.00606295 | + | 0.707081i | ||||
\(951\) | 4.60303 | + | 3.52698i | 0.149263 | + | 0.114370i | ||||
\(952\) | 0.466103 | − | 0.665664i | 0.0151065 | − | 0.0215743i | ||||
\(953\) | −40.7792 | − | 3.56771i | −1.32097 | − | 0.115570i | −0.595237 | − | 0.803550i | \(-0.702942\pi\) |
−0.725729 | + | 0.687980i | \(0.758497\pi\) | |||||||
\(954\) | 30.2438 | − | 21.2393i | 0.979180 | − | 0.687648i | ||||
\(955\) | 26.4395 | + | 20.2499i | 0.855562 | + | 0.655270i | ||||
\(956\) | 4.40690 | − | 5.25194i | 0.142529 | − | 0.169860i | ||||
\(957\) | 3.19164 | − | 7.72040i | 0.103171 | − | 0.249565i | ||||
\(958\) | −40.2634 | − | 10.7885i | −1.30085 | − | 0.348562i | ||||
\(959\) | 2.11218 | − | 11.9788i | 0.0682058 | − | 0.386814i | ||||
\(960\) | 3.64152 | + | 1.31884i | 0.117530 | + | 0.0425653i | ||||
\(961\) | 6.19377 | + | 10.7279i | 0.199799 | + | 0.346062i | ||||
\(962\) | 7.58514 | + | 28.3081i | 0.244555 | + | 0.912690i | ||||
\(963\) | 47.0085 | − | 17.1833i | 1.51483 | − | 0.553724i | ||||
\(964\) | 0.756897 | − | 2.07956i | 0.0243780 | − | 0.0669780i | ||||
\(965\) | −5.25655 | − | 4.80802i | −0.169214 | − | 0.154776i | ||||
\(966\) | 0.340594 | + | 7.67912i | 0.0109584 | + | 0.247072i | ||||
\(967\) | 13.3416 | − | 19.0537i | 0.429036 | − | 0.612727i | −0.545187 | − | 0.838315i | \(-0.683541\pi\) |
0.974223 | + | 0.225588i | \(0.0724302\pi\) | |||||||
\(968\) | −13.0211 | − | 13.0211i | −0.418514 | − | 0.418514i | ||||
\(969\) | 3.41519 | + | 5.27354i | 0.109712 | + | 0.169411i | ||||
\(970\) | −3.39930 | + | 10.8152i | −0.109145 | + | 0.347255i | ||||
\(971\) | −56.8375 | + | 10.0220i | −1.82400 | + | 0.321621i | −0.977527 | − | 0.210808i | \(-0.932390\pi\) |
−0.846475 | + | 0.532429i | \(0.821279\pi\) | |||||||
\(972\) | 3.32136 | − | 15.2305i | 0.106533 | − | 0.488519i | ||||
\(973\) | 5.43137 | − | 11.6476i | 0.174122 | − | 0.373405i | ||||
\(974\) | 0.283033 | + | 0.103015i | 0.00906895 | + | 0.00330083i | ||||
\(975\) | −10.4260 | + | 25.3494i | −0.333900 | + | 0.811831i | ||||
\(976\) | 1.24798 | − | 2.16157i | 0.0399469 | − | 0.0691901i | ||||
\(977\) | −36.7443 | − | 9.84561i | −1.17555 | − | 0.314989i | −0.382393 | − | 0.924000i | \(-0.624900\pi\) |
−0.793162 | + | 0.609011i | \(0.791567\pi\) | |||||||
\(978\) | 1.33092 | − | 30.9741i | 0.0425580 | − | 0.990443i | ||||
\(979\) | −66.3166 | − | 11.6934i | −2.11949 | − | 0.373723i | ||||
\(980\) | 13.1971 | − | 2.93823i | 0.421567 | − | 0.0938583i | ||||
\(981\) | 4.64947 | + | 1.23894i | 0.148446 | + | 0.0395562i | ||||
\(982\) | 2.58377 | + | 29.5326i | 0.0824515 | + | 0.942425i | ||||
\(983\) | 17.0811 | + | 36.6305i | 0.544802 | + | 1.16833i | 0.965325 | + | 0.261050i | \(0.0840688\pi\) |
−0.420523 | + | 0.907282i | \(0.638153\pi\) | |||||||
\(984\) | −18.8707 | − | 5.93558i | −0.601576 | − | 0.189219i | ||||
\(985\) | −37.3904 | − | 15.4481i | −1.19136 | − | 0.492218i | ||||
\(986\) | 0.728830 | − | 0.128512i | 0.0232107 | − | 0.00409267i | ||||
\(987\) | 1.68759 | + | 12.7504i | 0.0537167 | + | 0.405851i | ||||
\(988\) | −9.82102 | − | 9.68894i | −0.312448 | − | 0.308246i | ||||
\(989\) | 9.27752 | 0.295008 | ||||||||
\(990\) | −28.9144 | − | 22.0820i | −0.918960 | − | 0.701813i | ||||
\(991\) | 21.3418 | − | 17.9079i | 0.677944 | − | 0.568862i | −0.237461 | − | 0.971397i | \(-0.576315\pi\) |
0.915405 | + | 0.402535i | \(0.131871\pi\) | |||||||
\(992\) | −1.82327 | + | 3.91001i | −0.0578888 | + | 0.124143i | ||||
\(993\) | −2.83849 | + | 12.8456i | −0.0900768 | + | 0.407643i | ||||
\(994\) | 9.68569 | − | 11.5430i | 0.307211 | − | 0.366120i | ||||
\(995\) | 16.9706 | − | 15.5789i | 0.538005 | − | 0.493885i | ||||
\(996\) | −2.01807 | + | 15.4110i | −0.0639449 | + | 0.488317i | ||||
\(997\) | 35.0766 | − | 24.5609i | 1.11089 | − | 0.777852i | 0.133868 | − | 0.990999i | \(-0.457260\pi\) |
0.977020 | + | 0.213147i | \(0.0683713\pi\) | |||||||
\(998\) | −18.2151 | + | 12.7543i | −0.576588 | + | 0.403731i | ||||
\(999\) | −47.6896 | + | 6.37906i | −1.50883 | + | 0.201825i |
(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.47.14 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.47.24 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.503.5 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.503.27 | yes | 480 | |
19.17 | even | 9 | inner | 570.2.bi.a.17.27 | yes | 480 | |
57.17 | odd | 18 | inner | 570.2.bi.a.17.5 | ✓ | 480 | |
95.93 | odd | 36 | inner | 570.2.bi.a.473.24 | yes | 480 | |
285.188 | even | 36 | inner | 570.2.bi.a.473.14 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.17.5 | ✓ | 480 | 57.17 | odd | 18 | inner | |
570.2.bi.a.17.27 | yes | 480 | 19.17 | even | 9 | inner | |
570.2.bi.a.47.14 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.47.24 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.473.14 | yes | 480 | 285.188 | even | 36 | inner | |
570.2.bi.a.473.24 | yes | 480 | 95.93 | odd | 36 | inner | |
570.2.bi.a.503.5 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.503.27 | yes | 480 | 15.8 | even | 4 | inner |