Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 463.1 | ||
Root | \(-0.415415 - 0.909632i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 483.463 |
Dual form | 483.2.q.a.169.1 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0681534 | − | 0.474017i | −0.0481917 | − | 0.335181i | −0.999626 | − | 0.0273302i | \(-0.991299\pi\) |
0.951435 | − | 0.307850i | \(-0.0996096\pi\) | |||||||
\(3\) | 0.415415 | − | 0.909632i | 0.239840 | − | 0.525176i | ||||
\(4\) | 1.69894 | − | 0.498853i | 0.849469 | − | 0.249427i | ||||
\(5\) | 0.654861 | − | 0.755750i | 0.292863 | − | 0.337981i | −0.590182 | − | 0.807270i | \(-0.700944\pi\) |
0.883045 | + | 0.469289i | \(0.155490\pi\) | |||||||
\(6\) | −0.459493 | − | 0.134919i | −0.187587 | − | 0.0550806i | ||||
\(7\) | 0.841254 | − | 0.540641i | 0.317964 | − | 0.204343i | ||||
\(8\) | −0.750131 | − | 1.64256i | −0.265211 | − | 0.580732i | ||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | −0.402869 | − | 0.258908i | −0.127398 | − | 0.0818740i | ||||
\(11\) | −0.0556075 | + | 0.386758i | −0.0167663 | + | 0.116612i | −0.996486 | − | 0.0837617i | \(-0.973307\pi\) |
0.979720 | + | 0.200374i | \(0.0642156\pi\) | |||||||
\(12\) | 0.251992 | − | 1.75264i | 0.0727437 | − | 0.505944i | ||||
\(13\) | 0.211799 | + | 0.136115i | 0.0587426 | + | 0.0377516i | 0.569682 | − | 0.821865i | \(-0.307066\pi\) |
−0.510940 | + | 0.859616i | \(0.670703\pi\) | |||||||
\(14\) | −0.313607 | − | 0.361922i | −0.0838151 | − | 0.0967277i | ||||
\(15\) | −0.415415 | − | 0.909632i | −0.107260 | − | 0.234866i | ||||
\(16\) | 2.25168 | − | 1.44706i | 0.562919 | − | 0.361766i | ||||
\(17\) | −1.96635 | − | 0.577371i | −0.476909 | − | 0.140033i | 0.0344392 | − | 0.999407i | \(-0.489036\pi\) |
−0.511348 | + | 0.859374i | \(0.670854\pi\) | |||||||
\(18\) | −0.313607 | + | 0.361922i | −0.0739179 | + | 0.0853058i | ||||
\(19\) | 1.48357 | − | 0.435615i | 0.340354 | − | 0.0999369i | −0.107089 | − | 0.994249i | \(-0.534153\pi\) |
0.447443 | + | 0.894313i | \(0.352335\pi\) | |||||||
\(20\) | 0.735560 | − | 1.61065i | 0.164476 | − | 0.360153i | ||||
\(21\) | −0.142315 | − | 0.989821i | −0.0310556 | − | 0.215997i | ||||
\(22\) | 0.187120 | 0.0398941 | ||||||||
\(23\) | −0.936621 | + | 4.70348i | −0.195299 | + | 0.980744i | ||||
\(24\) | −1.80574 | −0.368595 | ||||||||
\(25\) | 0.569259 | + | 3.95929i | 0.113852 | + | 0.791857i | ||||
\(26\) | 0.0500861 | − | 0.109673i | 0.00982269 | − | 0.0215087i | ||||
\(27\) | −0.959493 | + | 0.281733i | −0.184655 | + | 0.0542195i | ||||
\(28\) | 1.15954 | − | 1.33818i | 0.219132 | − | 0.252892i | ||||
\(29\) | −3.13631 | − | 0.920903i | −0.582398 | − | 0.171007i | −0.0227544 | − | 0.999741i | \(-0.507244\pi\) |
−0.559643 | + | 0.828734i | \(0.689062\pi\) | |||||||
\(30\) | −0.402869 | + | 0.258908i | −0.0735535 | + | 0.0472700i | ||||
\(31\) | −0.777590 | − | 1.70268i | −0.139659 | − | 0.305811i | 0.826859 | − | 0.562410i | \(-0.190126\pi\) |
−0.966518 | + | 0.256598i | \(0.917398\pi\) | |||||||
\(32\) | −3.20441 | − | 3.69808i | −0.566464 | − | 0.653735i | ||||
\(33\) | 0.328708 | + | 0.211248i | 0.0572207 | + | 0.0367735i | ||||
\(34\) | −0.139671 | + | 0.971431i | −0.0239533 | + | 0.166599i | ||||
\(35\) | 0.142315 | − | 0.989821i | 0.0240556 | − | 0.167310i | ||||
\(36\) | −1.48958 | − | 0.957293i | −0.248263 | − | 0.159549i | ||||
\(37\) | 4.05099 | + | 4.67510i | 0.665979 | + | 0.768581i | 0.983742 | − | 0.179589i | \(-0.0574768\pi\) |
−0.317762 | + | 0.948170i | \(0.602931\pi\) | |||||||
\(38\) | −0.307599 | − | 0.673548i | −0.0498992 | − | 0.109264i | ||||
\(39\) | 0.211799 | − | 0.136115i | 0.0339150 | − | 0.0217959i | ||||
\(40\) | −1.73259 | − | 0.508735i | −0.273947 | − | 0.0804381i | ||||
\(41\) | 2.76880 | − | 3.19537i | 0.432414 | − | 0.499033i | −0.497164 | − | 0.867656i | \(-0.665625\pi\) |
0.929579 | + | 0.368624i | \(0.120171\pi\) | |||||||
\(42\) | −0.459493 | + | 0.134919i | −0.0709013 | + | 0.0208185i | ||||
\(43\) | 1.13858 | − | 2.49315i | 0.173633 | − | 0.380202i | −0.802730 | − | 0.596343i | \(-0.796620\pi\) |
0.976362 | + | 0.216141i | \(0.0693471\pi\) | |||||||
\(44\) | 0.0984621 | + | 0.684819i | 0.0148437 | + | 0.103240i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | 2.29336 | + | 0.123416i | 0.338138 | + | 0.0181967i | ||||
\(47\) | −2.48092 | −0.361880 | −0.180940 | − | 0.983494i | \(-0.557914\pi\) | ||||
−0.180940 | + | 0.983494i | \(0.557914\pi\) | |||||||
\(48\) | −0.380916 | − | 2.64933i | −0.0549805 | − | 0.382398i | ||||
\(49\) | 0.415415 | − | 0.909632i | 0.0593450 | − | 0.129947i | ||||
\(50\) | 1.83797 | − | 0.539677i | 0.259928 | − | 0.0763219i | ||||
\(51\) | −1.34204 | + | 1.54880i | −0.187924 | + | 0.216876i | ||||
\(52\) | 0.427736 | + | 0.125595i | 0.0593163 | + | 0.0174168i | ||||
\(53\) | −1.56241 | + | 1.00410i | −0.214613 | + | 0.137923i | −0.643531 | − | 0.765420i | \(-0.722531\pi\) |
0.428918 | + | 0.903343i | \(0.358895\pi\) | |||||||
\(54\) | 0.198939 | + | 0.435615i | 0.0270721 | + | 0.0592797i | ||||
\(55\) | 0.255877 | + | 0.295298i | 0.0345025 | + | 0.0398180i | ||||
\(56\) | −1.51908 | − | 0.976256i | −0.202996 | − | 0.130458i | ||||
\(57\) | 0.220047 | − | 1.53046i | 0.0291460 | − | 0.202715i | ||||
\(58\) | −0.222774 | + | 1.54943i | −0.0292516 | + | 0.203450i | ||||
\(59\) | −3.66474 | − | 2.35519i | −0.477109 | − | 0.306619i | 0.279894 | − | 0.960031i | \(-0.409701\pi\) |
−0.757003 | + | 0.653412i | \(0.773337\pi\) | |||||||
\(60\) | −1.15954 | − | 1.33818i | −0.149696 | − | 0.172758i | ||||
\(61\) | −1.11732 | − | 2.44659i | −0.143058 | − | 0.313254i | 0.824517 | − | 0.565837i | \(-0.191447\pi\) |
−0.967575 | + | 0.252584i | \(0.918720\pi\) | |||||||
\(62\) | −0.754106 | + | 0.484635i | −0.0957716 | + | 0.0615487i | ||||
\(63\) | −0.959493 | − | 0.281733i | −0.120885 | − | 0.0354950i | ||||
\(64\) | 1.97100 | − | 2.27466i | 0.246375 | − | 0.284332i | ||||
\(65\) | 0.241568 | − | 0.0709308i | 0.0299628 | − | 0.00879788i | ||||
\(66\) | 0.0777324 | − | 0.170210i | 0.00956820 | − | 0.0209514i | ||||
\(67\) | 0.115190 | + | 0.801166i | 0.0140727 | + | 0.0978780i | 0.995647 | − | 0.0932018i | \(-0.0297102\pi\) |
−0.981575 | + | 0.191080i | \(0.938801\pi\) | |||||||
\(68\) | −3.62872 | −0.440047 | ||||||||
\(69\) | 3.88935 | + | 2.80588i | 0.468223 | + | 0.337788i | ||||
\(70\) | −0.478891 | −0.0572385 | ||||||||
\(71\) | 0.715611 | + | 4.97718i | 0.0849274 | + | 0.590683i | 0.987196 | + | 0.159509i | \(0.0509912\pi\) |
−0.902269 | + | 0.431173i | \(0.858100\pi\) | |||||||
\(72\) | −0.750131 | + | 1.64256i | −0.0884038 | + | 0.193577i | ||||
\(73\) | −4.62478 | + | 1.35796i | −0.541289 | + | 0.158937i | −0.540937 | − | 0.841063i | \(-0.681930\pi\) |
−0.000352177 | 1.00000i | \(0.500112\pi\) | ||||||||
\(74\) | 1.93999 | − | 2.23886i | 0.225519 | − | 0.260263i | ||||
\(75\) | 3.83797 | + | 1.12693i | 0.443171 | + | 0.130127i | ||||
\(76\) | 2.30318 | − | 1.48017i | 0.264193 | − | 0.169787i | ||||
\(77\) | 0.162317 | + | 0.355426i | 0.0184978 | + | 0.0405045i | ||||
\(78\) | −0.0789558 | − | 0.0911198i | −0.00893998 | − | 0.0103173i | ||||
\(79\) | 14.2473 | + | 9.15621i | 1.60295 | + | 1.03015i | 0.965756 | + | 0.259453i | \(0.0835423\pi\) |
0.637196 | + | 0.770702i | \(0.280094\pi\) | |||||||
\(80\) | 0.380916 | − | 2.64933i | 0.0425877 | − | 0.296204i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | −1.70336 | − | 1.09468i | −0.188105 | − | 0.120888i | ||||
\(83\) | 6.52367 | + | 7.52872i | 0.716066 | + | 0.826384i | 0.990828 | − | 0.135128i | \(-0.0431446\pi\) |
−0.274762 | + | 0.961512i | \(0.588599\pi\) | |||||||
\(84\) | −0.735560 | − | 1.61065i | −0.0802562 | − | 0.175737i | ||||
\(85\) | −1.72403 | + | 1.10797i | −0.186997 | + | 0.120176i | ||||
\(86\) | −1.25940 | − | 0.369792i | −0.135804 | − | 0.0398757i | ||||
\(87\) | −2.14055 | + | 2.47033i | −0.229491 | + | 0.264847i | ||||
\(88\) | 0.676986 | − | 0.198781i | 0.0721669 | − | 0.0211901i | ||||
\(89\) | 0.433841 | − | 0.949980i | 0.0459871 | − | 0.100698i | −0.885244 | − | 0.465127i | \(-0.846009\pi\) |
0.931231 | + | 0.364429i | \(0.118736\pi\) | |||||||
\(90\) | 0.0681534 | + | 0.474017i | 0.00718399 | + | 0.0499658i | ||||
\(91\) | 0.251766 | 0.0263923 | ||||||||
\(92\) | 0.755086 | + | 8.45816i | 0.0787232 | + | 0.881825i | ||||
\(93\) | −1.87184 | −0.194101 | ||||||||
\(94\) | 0.169083 | + | 1.17600i | 0.0174396 | + | 0.121295i | ||||
\(95\) | 0.642315 | − | 1.40647i | 0.0659001 | − | 0.144301i | ||||
\(96\) | −4.69505 | + | 1.37859i | −0.479187 | + | 0.140702i | ||||
\(97\) | −6.08226 | + | 7.01930i | −0.617560 | + | 0.712702i | −0.975242 | − | 0.221141i | \(-0.929022\pi\) |
0.357682 | + | 0.933844i | \(0.383567\pi\) | |||||||
\(98\) | −0.459493 | − | 0.134919i | −0.0464158 | − | 0.0136289i | ||||
\(99\) | 0.328708 | − | 0.211248i | 0.0330364 | − | 0.0212312i | ||||
\(100\) | 2.94224 | + | 6.44261i | 0.294224 | + | 0.644261i | ||||
\(101\) | −5.86157 | − | 6.76461i | −0.583248 | − | 0.673104i | 0.385052 | − | 0.922895i | \(-0.374183\pi\) |
−0.968300 | + | 0.249791i | \(0.919638\pi\) | |||||||
\(102\) | 0.825623 | + | 0.530596i | 0.0817489 | + | 0.0525368i | ||||
\(103\) | −0.0324995 | + | 0.226039i | −0.00320227 | + | 0.0222723i | −0.991360 | − | 0.131170i | \(-0.958127\pi\) |
0.988158 | + | 0.153442i | \(0.0490358\pi\) | |||||||
\(104\) | 0.0646998 | − | 0.449997i | 0.00634434 | − | 0.0441258i | ||||
\(105\) | −0.841254 | − | 0.540641i | −0.0820979 | − | 0.0527611i | ||||
\(106\) | 0.582443 | + | 0.672175i | 0.0565718 | + | 0.0652874i | ||||
\(107\) | 5.85050 | + | 12.8108i | 0.565589 | + | 1.23847i | 0.949113 | + | 0.314937i | \(0.101983\pi\) |
−0.383523 | + | 0.923531i | \(0.625289\pi\) | |||||||
\(108\) | −1.48958 | + | 0.957293i | −0.143335 | + | 0.0921155i | ||||
\(109\) | 0.630919 | + | 0.185255i | 0.0604311 | + | 0.0177442i | 0.311808 | − | 0.950145i | \(-0.399065\pi\) |
−0.251377 | + | 0.967889i | \(0.580883\pi\) | |||||||
\(110\) | 0.122537 | − | 0.141416i | 0.0116835 | − | 0.0134835i | ||||
\(111\) | 5.93546 | − | 1.74281i | 0.563369 | − | 0.165420i | ||||
\(112\) | 1.11189 | − | 2.43470i | 0.105064 | − | 0.230057i | ||||
\(113\) | 1.47511 | + | 10.2596i | 0.138766 | + | 0.965142i | 0.933601 | + | 0.358315i | \(0.116649\pi\) |
−0.794834 | + | 0.606827i | \(0.792442\pi\) | |||||||
\(114\) | −0.740462 | −0.0693506 | ||||||||
\(115\) | 2.94130 | + | 3.78798i | 0.274277 | + | 0.353231i | ||||
\(116\) | −5.78779 | −0.537383 | ||||||||
\(117\) | −0.0358301 | − | 0.249204i | −0.00331249 | − | 0.0230389i | ||||
\(118\) | −0.866635 | + | 1.89767i | −0.0797802 | + | 0.174694i | ||||
\(119\) | −1.96635 | + | 0.577371i | −0.180255 | + | 0.0529275i | ||||
\(120\) | −1.18251 | + | 1.36469i | −0.107948 | + | 0.124578i | ||||
\(121\) | 10.4079 | + | 3.05604i | 0.946176 | + | 0.277822i | ||||
\(122\) | −1.08358 | + | 0.696372i | −0.0981024 | + | 0.0630466i | ||||
\(123\) | −1.75641 | − | 3.84599i | −0.158370 | − | 0.346782i | ||||
\(124\) | −2.17047 | − | 2.50485i | −0.194914 | − | 0.224942i | ||||
\(125\) | 7.57128 | + | 4.86577i | 0.677196 | + | 0.435207i | ||||
\(126\) | −0.0681534 | + | 0.474017i | −0.00607158 | + | 0.0422288i | ||||
\(127\) | −1.62721 | + | 11.3175i | −0.144391 | + | 1.00426i | 0.780805 | + | 0.624775i | \(0.214809\pi\) |
−0.925196 | + | 0.379489i | \(0.876100\pi\) | |||||||
\(128\) | −9.44551 | − | 6.07026i | −0.834873 | − | 0.536540i | ||||
\(129\) | −1.79487 | − | 2.07139i | −0.158029 | − | 0.182375i | ||||
\(130\) | −0.0500861 | − | 0.109673i | −0.00439284 | − | 0.00961898i | ||||
\(131\) | 2.78475 | − | 1.78965i | 0.243305 | − | 0.156363i | −0.413306 | − | 0.910592i | \(-0.635626\pi\) |
0.656611 | + | 0.754230i | \(0.271989\pi\) | |||||||
\(132\) | 0.663836 | + | 0.194920i | 0.0577795 | + | 0.0169656i | ||||
\(133\) | 1.01255 | − | 1.16854i | 0.0877989 | − | 0.101325i | ||||
\(134\) | 0.371916 | − | 0.109204i | 0.0321286 | − | 0.00943381i | ||||
\(135\) | −0.415415 | + | 0.909632i | −0.0357532 | + | 0.0782887i | ||||
\(136\) | 0.526651 | + | 3.66294i | 0.0451600 | + | 0.314094i | ||||
\(137\) | −9.51643 | −0.813043 | −0.406522 | − | 0.913641i | \(-0.633258\pi\) | ||||
−0.406522 | + | 0.913641i | \(0.633258\pi\) | |||||||
\(138\) | 1.06496 | − | 2.03485i | 0.0906555 | − | 0.173218i | ||||
\(139\) | −6.04721 | −0.512918 | −0.256459 | − | 0.966555i | \(-0.582556\pi\) | ||||
−0.256459 | + | 0.966555i | \(0.582556\pi\) | |||||||
\(140\) | −0.251992 | − | 1.75264i | −0.0212972 | − | 0.148125i | ||||
\(141\) | −1.03061 | + | 2.25673i | −0.0867933 | + | 0.190051i | ||||
\(142\) | 2.31050 | − | 0.678423i | 0.193893 | − | 0.0569320i | ||||
\(143\) | −0.0644213 | + | 0.0743462i | −0.00538718 | + | 0.00621714i | ||||
\(144\) | −2.56815 | − | 0.754078i | −0.214013 | − | 0.0628398i | ||||
\(145\) | −2.74982 | + | 1.76720i | −0.228360 | + | 0.146758i | ||||
\(146\) | 0.958889 | + | 2.09967i | 0.0793582 | + | 0.173770i | ||||
\(147\) | −0.654861 | − | 0.755750i | −0.0540120 | − | 0.0623332i | ||||
\(148\) | 9.21458 | + | 5.92185i | 0.757434 | + | 0.486773i | ||||
\(149\) | −1.09104 | + | 7.58838i | −0.0893818 | + | 0.621664i | 0.895059 | + | 0.445948i | \(0.147133\pi\) |
−0.984441 | + | 0.175716i | \(0.943776\pi\) | |||||||
\(150\) | 0.272613 | − | 1.89607i | 0.0222588 | − | 0.154813i | ||||
\(151\) | −5.43700 | − | 3.49415i | −0.442457 | − | 0.284350i | 0.300383 | − | 0.953819i | \(-0.402885\pi\) |
−0.742840 | + | 0.669469i | \(0.766522\pi\) | |||||||
\(152\) | −1.82839 | − | 2.11008i | −0.148302 | − | 0.171150i | ||||
\(153\) | 0.851334 | + | 1.86416i | 0.0688263 | + | 0.150709i | ||||
\(154\) | 0.157415 | − | 0.101165i | 0.0126849 | − | 0.00815208i | ||||
\(155\) | −1.79602 | − | 0.527358i | −0.144260 | − | 0.0423584i | ||||
\(156\) | 0.291933 | − | 0.336908i | 0.0233733 | − | 0.0269742i | ||||
\(157\) | −3.29246 | + | 0.966754i | −0.262767 | + | 0.0771553i | −0.410462 | − | 0.911878i | \(-0.634633\pi\) |
0.147695 | + | 0.989033i | \(0.452814\pi\) | |||||||
\(158\) | 3.36920 | − | 7.37751i | 0.268039 | − | 0.586923i | ||||
\(159\) | 0.264312 | + | 1.83833i | 0.0209613 | + | 0.145789i | ||||
\(160\) | −4.89326 | −0.386847 | ||||||||
\(161\) | 1.75496 | + | 4.46320i | 0.138310 | + | 0.351749i | ||||
\(162\) | 0.478891 | 0.0376253 | ||||||||
\(163\) | 1.49182 | + | 10.3758i | 0.116848 | + | 0.812696i | 0.960991 | + | 0.276578i | \(0.0892006\pi\) |
−0.844143 | + | 0.536118i | \(0.819890\pi\) | |||||||
\(164\) | 3.11000 | − | 6.80996i | 0.242851 | − | 0.531769i | ||||
\(165\) | 0.374908 | − | 0.110083i | 0.0291865 | − | 0.00856994i | ||||
\(166\) | 3.12413 | − | 3.60544i | 0.242480 | − | 0.279836i | ||||
\(167\) | 14.6875 | + | 4.31264i | 1.13655 | + | 0.333722i | 0.795281 | − | 0.606242i | \(-0.207324\pi\) |
0.341274 | + | 0.939964i | \(0.389142\pi\) | |||||||
\(168\) | −1.51908 | + | 0.976256i | −0.117200 | + | 0.0753198i | ||||
\(169\) | −5.37406 | − | 11.7676i | −0.413390 | − | 0.905197i | ||||
\(170\) | 0.642694 | + | 0.741708i | 0.0492924 | + | 0.0568864i | ||||
\(171\) | −1.30075 | − | 0.835939i | −0.0994706 | − | 0.0639259i | ||||
\(172\) | 0.690668 | − | 4.80370i | 0.0526629 | − | 0.366279i | ||||
\(173\) | 3.28292 | − | 22.8332i | 0.249596 | − | 1.73598i | −0.350957 | − | 0.936392i | \(-0.614144\pi\) |
0.600553 | − | 0.799585i | \(-0.294947\pi\) | |||||||
\(174\) | 1.31686 | + | 0.846297i | 0.0998312 | + | 0.0641576i | ||||
\(175\) | 2.61944 | + | 3.02300i | 0.198011 | + | 0.228517i | ||||
\(176\) | 0.434454 | + | 0.951323i | 0.0327482 | + | 0.0717086i | ||||
\(177\) | −3.66474 | + | 2.35519i | −0.275459 | + | 0.177027i | ||||
\(178\) | −0.479874 | − | 0.140904i | −0.0359681 | − | 0.0105612i | ||||
\(179\) | 0.945666 | − | 1.09136i | 0.0706824 | − | 0.0815718i | −0.719307 | − | 0.694692i | \(-0.755541\pi\) |
0.789989 | + | 0.613120i | \(0.210086\pi\) | |||||||
\(180\) | −1.69894 | + | 0.498853i | −0.126631 | + | 0.0371823i | ||||
\(181\) | 0.152267 | − | 0.333417i | 0.0113179 | − | 0.0247827i | −0.903889 | − | 0.427768i | \(-0.859300\pi\) |
0.915207 | + | 0.402985i | \(0.132027\pi\) | |||||||
\(182\) | −0.0171587 | − | 0.119342i | −0.00127189 | − | 0.00884619i | ||||
\(183\) | −2.68965 | −0.198825 | ||||||||
\(184\) | 8.42833 | − | 1.98977i | 0.621344 | − | 0.146688i | ||||
\(185\) | 6.18604 | 0.454807 | ||||||||
\(186\) | 0.127572 | + | 0.887284i | 0.00935404 | + | 0.0650588i | ||||
\(187\) | 0.332647 | − | 0.728395i | 0.0243255 | − | 0.0532655i | ||||
\(188\) | −4.21494 | + | 1.23762i | −0.307406 | + | 0.0902625i | ||||
\(189\) | −0.654861 | + | 0.755750i | −0.0476341 | + | 0.0549727i | ||||
\(190\) | −0.710468 | − | 0.208612i | −0.0515428 | − | 0.0151343i | ||||
\(191\) | 4.62086 | − | 2.96965i | 0.334354 | − | 0.214876i | −0.362681 | − | 0.931913i | \(-0.618139\pi\) |
0.697035 | + | 0.717037i | \(0.254502\pi\) | |||||||
\(192\) | −1.25032 | − | 2.73781i | −0.0902339 | − | 0.197585i | ||||
\(193\) | −12.7985 | − | 14.7702i | −0.921255 | − | 1.06318i | −0.997812 | − | 0.0661195i | \(-0.978938\pi\) |
0.0765569 | − | 0.997065i | \(-0.475607\pi\) | |||||||
\(194\) | 3.74180 | + | 2.40471i | 0.268645 | + | 0.172648i | ||||
\(195\) | 0.0358301 | − | 0.249204i | 0.00256585 | − | 0.0178459i | ||||
\(196\) | 0.251992 | − | 1.75264i | 0.0179994 | − | 0.125189i | ||||
\(197\) | −8.84184 | − | 5.68231i | −0.629955 | − | 0.404848i | 0.186338 | − | 0.982486i | \(-0.440338\pi\) |
−0.816293 | + | 0.577638i | \(0.803974\pi\) | |||||||
\(198\) | −0.122537 | − | 0.141416i | −0.00870836 | − | 0.0100500i | ||||
\(199\) | −7.19504 | − | 15.7549i | −0.510043 | − | 1.11684i | −0.973073 | − | 0.230496i | \(-0.925965\pi\) |
0.463030 | − | 0.886343i | \(-0.346762\pi\) | |||||||
\(200\) | 6.07633 | − | 3.90502i | 0.429662 | − | 0.276127i | ||||
\(201\) | 0.776618 | + | 0.228036i | 0.0547784 | + | 0.0160844i | ||||
\(202\) | −2.80705 | + | 3.23951i | −0.197504 | + | 0.227931i | ||||
\(203\) | −3.13631 | + | 0.920903i | −0.220126 | + | 0.0646347i | ||||
\(204\) | −1.50743 | + | 3.30080i | −0.105541 | + | 0.231102i | ||||
\(205\) | −0.601718 | − | 4.18504i | −0.0420258 | − | 0.292296i | ||||
\(206\) | 0.109361 | 0.00761957 | ||||||||
\(207\) | 4.16801 | − | 2.37227i | 0.289697 | − | 0.164884i | ||||
\(208\) | 0.673871 | 0.0467246 | ||||||||
\(209\) | 0.0859803 | + | 0.598006i | 0.00594738 | + | 0.0413649i | ||||
\(210\) | −0.198939 | + | 0.435615i | −0.0137281 | + | 0.0300603i | ||||
\(211\) | 5.30330 | − | 1.55719i | 0.365094 | − | 0.107201i | −0.0940395 | − | 0.995568i | \(-0.529978\pi\) |
0.459134 | + | 0.888367i | \(0.348160\pi\) | |||||||
\(212\) | −2.15354 | + | 2.48531i | −0.147905 | + | 0.170692i | ||||
\(213\) | 4.82468 | + | 1.41665i | 0.330582 | + | 0.0970675i | ||||
\(214\) | 5.67381 | − | 3.64634i | 0.387854 | − | 0.249258i | ||||
\(215\) | −1.13858 | − | 2.49315i | −0.0776508 | − | 0.170032i | ||||
\(216\) | 1.18251 | + | 1.36469i | 0.0804594 | + | 0.0928551i | ||||
\(217\) | −1.57469 | − | 1.01199i | −0.106897 | − | 0.0686985i | ||||
\(218\) | 0.0448146 | − | 0.311692i | 0.00303523 | − | 0.0211105i | ||||
\(219\) | −0.685961 | + | 4.77096i | −0.0463529 | + | 0.322392i | ||||
\(220\) | 0.582030 | + | 0.374048i | 0.0392405 | + | 0.0252183i | ||||
\(221\) | −0.337882 | − | 0.389936i | −0.0227284 | − | 0.0262300i | ||||
\(222\) | −1.23064 | − | 2.69473i | −0.0825953 | − | 0.180859i | ||||
\(223\) | −20.1236 | + | 12.9327i | −1.34758 | + | 0.866036i | −0.997499 | − | 0.0706847i | \(-0.977482\pi\) |
−0.350079 | + | 0.936720i | \(0.613845\pi\) | |||||||
\(224\) | −4.69505 | − | 1.37859i | −0.313701 | − | 0.0921110i | ||||
\(225\) | 2.61944 | − | 3.02300i | 0.174630 | − | 0.201533i | ||||
\(226\) | 4.76269 | − | 1.39845i | 0.316810 | − | 0.0930237i | ||||
\(227\) | 8.20917 | − | 17.9756i | 0.544862 | − | 1.19308i | −0.414278 | − | 0.910150i | \(-0.635966\pi\) |
0.959140 | − | 0.282931i | \(-0.0913067\pi\) | |||||||
\(228\) | −0.389630 | − | 2.70993i | −0.0258038 | − | 0.179470i | ||||
\(229\) | −12.5482 | −0.829211 | −0.414605 | − | 0.910001i | \(-0.636080\pi\) | ||||
−0.414605 | + | 0.910001i | \(0.636080\pi\) | |||||||
\(230\) | 1.59511 | − | 1.65239i | 0.105178 | − | 0.108955i | ||||
\(231\) | 0.390736 | 0.0257085 | ||||||||
\(232\) | 0.840005 | + | 5.84236i | 0.0551490 | + | 0.383570i | ||||
\(233\) | −1.20720 | + | 2.64341i | −0.0790865 | + | 0.173175i | −0.945045 | − | 0.326941i | \(-0.893982\pi\) |
0.865958 | + | 0.500116i | \(0.166709\pi\) | |||||||
\(234\) | −0.115685 | + | 0.0339682i | −0.00756256 | + | 0.00222057i | ||||
\(235\) | −1.62466 | + | 1.87496i | −0.105981 | + | 0.122309i | ||||
\(236\) | −7.40107 | − | 2.17315i | −0.481769 | − | 0.141460i | ||||
\(237\) | 14.2473 | − | 9.15621i | 0.925465 | − | 0.594760i | ||||
\(238\) | 0.407697 | + | 0.892731i | 0.0264271 | + | 0.0578672i | ||||
\(239\) | 1.51397 | + | 1.74722i | 0.0979309 | + | 0.113018i | 0.802599 | − | 0.596518i | \(-0.203450\pi\) |
−0.704669 | + | 0.709537i | \(0.748904\pi\) | |||||||
\(240\) | −2.25168 | − | 1.44706i | −0.145345 | − | 0.0934076i | ||||
\(241\) | 2.38906 | − | 16.6163i | 0.153893 | − | 1.07035i | −0.755720 | − | 0.654895i | \(-0.772713\pi\) |
0.909613 | − | 0.415456i | \(-0.136378\pi\) | |||||||
\(242\) | 0.739282 | − | 5.14182i | 0.0475228 | − | 0.330529i | ||||
\(243\) | 0.841254 | + | 0.540641i | 0.0539664 | + | 0.0346821i | ||||
\(244\) | −3.11875 | − | 3.59923i | −0.199657 | − | 0.230417i | ||||
\(245\) | −0.415415 | − | 0.909632i | −0.0265399 | − | 0.0581143i | ||||
\(246\) | −1.70336 | + | 1.09468i | −0.108602 | + | 0.0697945i | ||||
\(247\) | 0.373513 | + | 0.109673i | 0.0237660 | + | 0.00697834i | ||||
\(248\) | −2.21346 | + | 2.55447i | −0.140555 | + | 0.162209i | ||||
\(249\) | 9.55839 | − | 2.80660i | 0.605739 | − | 0.177861i | ||||
\(250\) | 1.79045 | − | 3.92053i | 0.113238 | − | 0.247956i | ||||
\(251\) | 1.11450 | + | 7.75155i | 0.0703469 | + | 0.489273i | 0.994287 | + | 0.106737i | \(0.0340403\pi\) |
−0.923940 | + | 0.382536i | \(0.875051\pi\) | |||||||
\(252\) | −1.77066 | −0.111541 | ||||||||
\(253\) | −1.76703 | − | 0.623795i | −0.111092 | − | 0.0392176i | ||||
\(254\) | 5.47558 | 0.343568 | ||||||||
\(255\) | 0.291654 | + | 2.02850i | 0.0182641 | + | 0.127030i | ||||
\(256\) | 0.266972 | − | 0.584588i | 0.0166858 | − | 0.0365367i | ||||
\(257\) | −8.35103 | + | 2.45208i | −0.520923 | + | 0.152957i | −0.531615 | − | 0.846986i | \(-0.678415\pi\) |
0.0106923 | + | 0.999943i | \(0.496596\pi\) | |||||||
\(258\) | −0.859546 | + | 0.991969i | −0.0535130 | + | 0.0617573i | ||||
\(259\) | 5.93546 | + | 1.74281i | 0.368812 | + | 0.108293i | ||||
\(260\) | 0.375025 | − | 0.241014i | 0.0232581 | − | 0.0149471i | ||||
\(261\) | 1.35787 | + | 2.97333i | 0.0840502 | + | 0.184044i | ||||
\(262\) | −1.03812 | − | 1.19805i | −0.0641351 | − | 0.0740158i | ||||
\(263\) | 1.48564 | + | 0.954760i | 0.0916083 | + | 0.0588730i | 0.585643 | − | 0.810569i | \(-0.300842\pi\) |
−0.494035 | + | 0.869442i | \(0.664478\pi\) | |||||||
\(264\) | 0.100413 | − | 0.698384i | 0.00617996 | − | 0.0429826i | ||||
\(265\) | −0.264312 | + | 1.83833i | −0.0162366 | + | 0.112928i | ||||
\(266\) | −0.622916 | − | 0.400324i | −0.0381935 | − | 0.0245454i | ||||
\(267\) | −0.683908 | − | 0.789272i | −0.0418545 | − | 0.0483027i | ||||
\(268\) | 0.595366 | + | 1.30367i | 0.0363677 | + | 0.0796342i | ||||
\(269\) | −4.46961 | + | 2.87244i | −0.272517 | + | 0.175136i | −0.669760 | − | 0.742577i | \(-0.733603\pi\) |
0.397244 | + | 0.917713i | \(0.369967\pi\) | |||||||
\(270\) | 0.459493 | + | 0.134919i | 0.0279639 | + | 0.00821093i | ||||
\(271\) | 15.5151 | − | 17.9054i | 0.942476 | − | 1.08767i | −0.0535461 | − | 0.998565i | \(-0.517052\pi\) |
0.996022 | − | 0.0891096i | \(-0.0284021\pi\) | |||||||
\(272\) | −5.26307 | + | 1.54538i | −0.319120 | + | 0.0937022i | ||||
\(273\) | 0.104588 | − | 0.229015i | 0.00632993 | − | 0.0138606i | ||||
\(274\) | 0.648577 | + | 4.51095i | 0.0391819 | + | 0.272516i | ||||
\(275\) | −1.56294 | −0.0942490 | ||||||||
\(276\) | 8.00749 | + | 2.82680i | 0.481994 | + | 0.170153i | ||||
\(277\) | −30.1344 | −1.81060 | −0.905301 | − | 0.424770i | \(-0.860355\pi\) | ||||
−0.905301 | + | 0.424770i | \(0.860355\pi\) | |||||||
\(278\) | 0.412138 | + | 2.86648i | 0.0247184 | + | 0.171920i | ||||
\(279\) | −0.777590 | + | 1.70268i | −0.0465531 | + | 0.101937i | ||||
\(280\) | −1.73259 | + | 0.508735i | −0.103542 | + | 0.0304027i | ||||
\(281\) | 8.47493 | − | 9.78059i | 0.505572 | − | 0.583461i | −0.444387 | − | 0.895835i | \(-0.646579\pi\) |
0.949959 | + | 0.312374i | \(0.101124\pi\) | |||||||
\(282\) | 1.13997 | + | 0.334725i | 0.0678841 | + | 0.0199326i | ||||
\(283\) | 7.60557 | − | 4.88780i | 0.452104 | − | 0.290550i | −0.294705 | − | 0.955588i | \(-0.595221\pi\) |
0.746809 | + | 0.665039i | \(0.231585\pi\) | |||||||
\(284\) | 3.69866 | + | 8.09894i | 0.219475 | + | 0.480584i | ||||
\(285\) | −1.01255 | − | 1.16854i | −0.0599780 | − | 0.0692184i | ||||
\(286\) | 0.0396319 | + | 0.0254699i | 0.00234348 | + | 0.00150606i | ||||
\(287\) | 0.601718 | − | 4.18504i | 0.0355183 | − | 0.247035i | ||||
\(288\) | −0.696384 | + | 4.84346i | −0.0410348 | + | 0.285404i | ||||
\(289\) | −10.7682 | − | 6.92027i | −0.633421 | − | 0.407075i | ||||
\(290\) | 1.02509 | + | 1.18302i | 0.0601955 | + | 0.0694693i | ||||
\(291\) | 3.85832 | + | 8.44854i | 0.226179 | + | 0.495262i | ||||
\(292\) | −7.17979 | + | 4.61417i | −0.420166 | + | 0.270024i | ||||
\(293\) | 13.0525 | + | 3.83257i | 0.762538 | + | 0.223901i | 0.639804 | − | 0.768538i | \(-0.279016\pi\) |
0.122734 | + | 0.992440i | \(0.460834\pi\) | |||||||
\(294\) | −0.313607 | + | 0.361922i | −0.0182899 | + | 0.0211077i | ||||
\(295\) | −4.17983 | + | 1.22731i | −0.243359 | + | 0.0714567i | ||||
\(296\) | 4.64034 | − | 10.1609i | 0.269714 | − | 0.590592i | ||||
\(297\) | −0.0556075 | − | 0.386758i | −0.00322667 | − | 0.0224420i | ||||
\(298\) | 3.67138 | 0.212677 | ||||||||
\(299\) | −0.838591 | + | 0.868706i | −0.0484970 | + | 0.0502386i | ||||
\(300\) | 7.08265 | 0.408917 | ||||||||
\(301\) | −0.390062 | − | 2.71294i | −0.0224828 | − | 0.156371i | ||||
\(302\) | −1.28574 | + | 2.81537i | −0.0739858 | + | 0.162006i | ||||
\(303\) | −8.58829 | + | 2.52175i | −0.493384 | + | 0.144871i | ||||
\(304\) | 2.71015 | − | 3.12768i | 0.155438 | − | 0.179385i | ||||
\(305\) | −2.58070 | − | 0.757762i | −0.147770 | − | 0.0433893i | ||||
\(306\) | 0.825623 | − | 0.530596i | 0.0471978 | − | 0.0303322i | ||||
\(307\) | −8.09732 | − | 17.7307i | −0.462138 | − | 1.01194i | −0.986995 | − | 0.160751i | \(-0.948608\pi\) |
0.524857 | − | 0.851191i | \(-0.324119\pi\) | |||||||
\(308\) | 0.453073 | + | 0.522874i | 0.0258162 | + | 0.0297935i | ||||
\(309\) | 0.192112 | + | 0.123463i | 0.0109288 | + | 0.00702354i | ||||
\(310\) | −0.127572 | + | 0.887284i | −0.00724561 | + | 0.0503943i | ||||
\(311\) | −0.291746 | + | 2.02914i | −0.0165434 | + | 0.115062i | −0.996420 | − | 0.0845433i | \(-0.973057\pi\) |
0.979876 | + | 0.199605i | \(0.0639660\pi\) | |||||||
\(312\) | −0.382454 | − | 0.245788i | −0.0216522 | − | 0.0139150i | ||||
\(313\) | −10.1404 | − | 11.7026i | −0.573168 | − | 0.661471i | 0.392953 | − | 0.919558i | \(-0.371453\pi\) |
−0.966122 | + | 0.258087i | \(0.916908\pi\) | |||||||
\(314\) | 0.682650 | + | 1.49479i | 0.0385242 | + | 0.0843562i | ||||
\(315\) | −0.841254 | + | 0.540641i | −0.0473993 | + | 0.0304617i | ||||
\(316\) | 28.7730 | + | 8.44851i | 1.61861 | + | 0.475266i | ||||
\(317\) | 8.92460 | − | 10.2995i | 0.501256 | − | 0.578480i | −0.447583 | − | 0.894243i | \(-0.647715\pi\) |
0.948838 | + | 0.315763i | \(0.102260\pi\) | |||||||
\(318\) | 0.853387 | − | 0.250577i | 0.0478556 | − | 0.0140517i | ||||
\(319\) | 0.530569 | − | 1.16178i | 0.0297062 | − | 0.0650474i | ||||
\(320\) | −0.428340 | − | 2.97917i | −0.0239449 | − | 0.166541i | ||||
\(321\) | 14.0835 | 0.786065 | ||||||||
\(322\) | 1.99602 | − | 1.13606i | 0.111234 | − | 0.0633103i | ||||
\(323\) | −3.16872 | −0.176312 | ||||||||
\(324\) | 0.251992 | + | 1.75264i | 0.0139995 | + | 0.0973689i | ||||
\(325\) | −0.418350 | + | 0.916059i | −0.0232059 | + | 0.0508138i | ||||
\(326\) | 4.81664 | − | 1.41429i | 0.266769 | − | 0.0783304i | ||||
\(327\) | 0.430607 | − | 0.496947i | 0.0238126 | − | 0.0274812i | ||||
\(328\) | −7.32554 | − | 2.15097i | −0.404485 | − | 0.118768i | ||||
\(329\) | −2.08709 | + | 1.34129i | −0.115065 | + | 0.0739477i | ||||
\(330\) | −0.0777324 | − | 0.170210i | −0.00427903 | − | 0.00936977i | ||||
\(331\) | −1.54170 | − | 1.77922i | −0.0847394 | − | 0.0977945i | 0.711796 | − | 0.702386i | \(-0.247882\pi\) |
−0.796536 | + | 0.604591i | \(0.793336\pi\) | |||||||
\(332\) | 14.8390 | + | 9.53647i | 0.814398 | + | 0.523382i | ||||
\(333\) | 0.880365 | − | 6.12307i | 0.0482437 | − | 0.335542i | ||||
\(334\) | 1.04326 | − | 7.25605i | 0.0570848 | − | 0.397034i | ||||
\(335\) | 0.680914 | + | 0.437597i | 0.0372023 | + | 0.0239085i | ||||
\(336\) | −1.75278 | − | 2.02282i | −0.0956221 | − | 0.110354i | ||||
\(337\) | −9.42938 | − | 20.6475i | −0.513651 | − | 1.12474i | −0.971788 | − | 0.235857i | \(-0.924210\pi\) |
0.458137 | − | 0.888882i | \(-0.348517\pi\) | |||||||
\(338\) | −5.21176 | + | 3.34940i | −0.283482 | + | 0.182183i | ||||
\(339\) | 9.94524 | + | 2.92019i | 0.540151 | + | 0.158603i | ||||
\(340\) | −2.37631 | + | 2.74241i | −0.128873 | + | 0.148728i | ||||
\(341\) | 0.701767 | − | 0.206057i | 0.0380028 | − | 0.0111586i | ||||
\(342\) | −0.307599 | + | 0.673548i | −0.0166331 | + | 0.0364213i | ||||
\(343\) | −0.142315 | − | 0.989821i | −0.00768428 | − | 0.0534453i | ||||
\(344\) | −4.94923 | −0.266845 | ||||||||
\(345\) | 4.66752 | − | 1.10192i | 0.251291 | − | 0.0593252i | ||||
\(346\) | −11.0471 | −0.593894 | ||||||||
\(347\) | 3.03232 | + | 21.0902i | 0.162783 | + | 1.13218i | 0.893357 | + | 0.449348i | \(0.148344\pi\) |
−0.730574 | + | 0.682834i | \(0.760747\pi\) | |||||||
\(348\) | −2.40433 | + | 5.26476i | −0.128886 | + | 0.282221i | ||||
\(349\) | −25.9242 | + | 7.61203i | −1.38769 | + | 0.407462i | −0.888439 | − | 0.458995i | \(-0.848210\pi\) |
−0.499251 | + | 0.866457i | \(0.666391\pi\) | |||||||
\(350\) | 1.25443 | − | 1.44769i | 0.0670520 | − | 0.0773822i | ||||
\(351\) | −0.241568 | − | 0.0709308i | −0.0128940 | − | 0.00378601i | ||||
\(352\) | 1.60845 | − | 1.03369i | 0.0857309 | − | 0.0550959i | ||||
\(353\) | −10.9849 | − | 24.0535i | −0.584665 | − | 1.28024i | −0.938613 | − | 0.344973i | \(-0.887888\pi\) |
0.353948 | − | 0.935265i | \(-0.384839\pi\) | |||||||
\(354\) | 1.36616 | + | 1.57664i | 0.0726108 | + | 0.0837973i | ||||
\(355\) | 4.23013 | + | 2.71854i | 0.224512 | + | 0.144285i | ||||
\(356\) | 0.263169 | − | 1.83038i | 0.0139479 | − | 0.0970100i | ||||
\(357\) | −0.291654 | + | 2.02850i | −0.0154360 | + | 0.107360i | ||||
\(358\) | −0.581772 | − | 0.373882i | −0.0307476 | − | 0.0197603i | ||||
\(359\) | 4.89181 | + | 5.64545i | 0.258180 | + | 0.297955i | 0.870010 | − | 0.493033i | \(-0.164112\pi\) |
−0.611830 | + | 0.790989i | \(0.709567\pi\) | |||||||
\(360\) | 0.750131 | + | 1.64256i | 0.0395354 | + | 0.0865704i | ||||
\(361\) | −13.9726 | + | 8.97965i | −0.735400 | + | 0.472613i | ||||
\(362\) | −0.168423 | − | 0.0494535i | −0.00885212 | − | 0.00259922i | ||||
\(363\) | 7.10349 | − | 8.19786i | 0.372836 | − | 0.430276i | ||||
\(364\) | 0.427736 | − | 0.125595i | 0.0224194 | − | 0.00658294i | ||||
\(365\) | −2.00231 | + | 4.38445i | −0.104806 | + | 0.229492i | ||||
\(366\) | 0.183309 | + | 1.27494i | 0.00958169 | + | 0.0666421i | ||||
\(367\) | −29.5643 | −1.54324 | −0.771621 | − | 0.636083i | \(-0.780554\pi\) | ||||
−0.771621 | + | 0.636083i | \(0.780554\pi\) | |||||||
\(368\) | 4.69728 | + | 11.9461i | 0.244862 | + | 0.622732i | ||||
\(369\) | −4.22808 | −0.220105 | ||||||||
\(370\) | −0.421599 | − | 2.93229i | −0.0219179 | − | 0.152442i | ||||
\(371\) | −0.771524 | + | 1.68940i | −0.0400555 | + | 0.0877094i | ||||
\(372\) | −3.18014 | + | 0.933773i | −0.164883 | + | 0.0484139i | ||||
\(373\) | 0.238162 | − | 0.274854i | 0.0123316 | − | 0.0142314i | −0.749550 | − | 0.661947i | \(-0.769730\pi\) |
0.761882 | + | 0.647716i | \(0.224276\pi\) | |||||||
\(374\) | −0.367942 | − | 0.108038i | −0.0190258 | − | 0.00558649i | ||||
\(375\) | 7.57128 | − | 4.86577i | 0.390979 | − | 0.251267i | ||||
\(376\) | 1.86102 | + | 4.07506i | 0.0959747 | + | 0.210155i | ||||
\(377\) | −0.538919 | − | 0.621946i | −0.0277557 | − | 0.0320318i | ||||
\(378\) | 0.402869 | + | 0.258908i | 0.0207214 | + | 0.0133168i | ||||
\(379\) | 2.42177 | − | 16.8438i | 0.124398 | − | 0.865206i | −0.828082 | − | 0.560606i | \(-0.810568\pi\) |
0.952480 | − | 0.304600i | \(-0.0985228\pi\) | |||||||
\(380\) | 0.389630 | − | 2.70993i | 0.0199876 | − | 0.139017i | ||||
\(381\) | 9.61878 | + | 6.18161i | 0.492785 | + | 0.316694i | ||||
\(382\) | −1.72259 | − | 1.98798i | −0.0881354 | − | 0.101714i | ||||
\(383\) | 13.4895 | + | 29.5380i | 0.689283 | + | 1.50932i | 0.852499 | + | 0.522729i | \(0.175086\pi\) |
−0.163216 | + | 0.986590i | \(0.552187\pi\) | |||||||
\(384\) | −9.44551 | + | 6.07026i | −0.482014 | + | 0.309772i | ||||
\(385\) | 0.374908 | + | 0.110083i | 0.0191071 | + | 0.00561034i | ||||
\(386\) | −6.12908 | + | 7.07334i | −0.311962 | + | 0.360023i | ||||
\(387\) | −2.62981 | + | 0.772183i | −0.133681 | + | 0.0392523i | ||||
\(388\) | −6.83179 | + | 14.9595i | −0.346831 | + | 0.759455i | ||||
\(389\) | 1.40277 | + | 9.75646i | 0.0711231 | + | 0.494672i | 0.993983 | + | 0.109536i | \(0.0349365\pi\) |
−0.922860 | + | 0.385136i | \(0.874154\pi\) | |||||||
\(390\) | −0.120569 | −0.00610524 | ||||||||
\(391\) | 4.55738 | − | 8.70789i | 0.230476 | − | 0.440377i | ||||
\(392\) | −1.80574 | −0.0912036 | ||||||||
\(393\) | −0.471097 | − | 3.27655i | −0.0237637 | − | 0.165280i | ||||
\(394\) | −2.09091 | + | 4.57845i | −0.105338 | + | 0.230659i | ||||
\(395\) | 16.2498 | − | 4.77138i | 0.817618 | − | 0.240074i | ||||
\(396\) | 0.453073 | − | 0.522874i | 0.0227678 | − | 0.0262754i | ||||
\(397\) | 9.87548 | + | 2.89970i | 0.495636 | + | 0.145532i | 0.519992 | − | 0.854171i | \(-0.325935\pi\) |
−0.0243552 | + | 0.999703i | \(0.507753\pi\) | |||||||
\(398\) | −6.97775 | + | 4.48433i | −0.349763 | + | 0.224779i | ||||
\(399\) | −0.642315 | − | 1.40647i | −0.0321560 | − | 0.0704117i | ||||
\(400\) | 7.01113 | + | 8.09128i | 0.350557 | + | 0.404564i | ||||
\(401\) | 15.6753 | + | 10.0739i | 0.782789 | + | 0.503068i | 0.869958 | − | 0.493126i | \(-0.164146\pi\) |
−0.0871694 | + | 0.996194i | \(0.527782\pi\) | |||||||
\(402\) | 0.0551636 | − | 0.383671i | 0.00275131 | − | 0.0191358i | ||||
\(403\) | 0.0670682 | − | 0.466469i | 0.00334090 | − | 0.0232365i | ||||
\(404\) | −13.3330 | − | 8.56859i | −0.663341 | − | 0.426303i | ||||
\(405\) | 0.654861 | + | 0.755750i | 0.0325403 | + | 0.0375535i | ||||
\(406\) | 0.650273 | + | 1.42390i | 0.0322725 | + | 0.0706670i | ||||
\(407\) | −2.03340 | + | 1.30679i | −0.100792 | + | 0.0647750i | ||||
\(408\) | 3.55071 | + | 1.04258i | 0.175786 | + | 0.0516155i | ||||
\(409\) | −4.10336 | + | 4.73553i | −0.202898 | + | 0.234157i | −0.848075 | − | 0.529876i | \(-0.822238\pi\) |
0.645177 | + | 0.764033i | \(0.276784\pi\) | |||||||
\(410\) | −1.94277 | + | 0.570449i | −0.0959467 | + | 0.0281725i | ||||
\(411\) | −3.95327 | + | 8.65645i | −0.195000 | + | 0.426991i | ||||
\(412\) | 0.0575457 | + | 0.400239i | 0.00283507 | + | 0.0197184i | ||||
\(413\) | −4.35629 | −0.214359 | ||||||||
\(414\) | −1.40856 | − | 1.81403i | −0.0692271 | − | 0.0891547i | ||||
\(415\) | 9.96192 | 0.489011 | ||||||||
\(416\) | −0.175326 | − | 1.21942i | −0.00859607 | − | 0.0597870i | ||||
\(417\) | −2.51210 | + | 5.50074i | −0.123018 | + | 0.269372i | ||||
\(418\) | 0.277605 | − | 0.0815122i | 0.0135781 | − | 0.00398689i | ||||
\(419\) | −12.3433 | + | 14.2449i | −0.603010 | + | 0.695911i | −0.972388 | − | 0.233368i | \(-0.925025\pi\) |
0.369378 | + | 0.929279i | \(0.379571\pi\) | |||||||
\(420\) | −1.69894 | − | 0.498853i | −0.0828997 | − | 0.0243416i | ||||
\(421\) | 27.2028 | − | 17.4822i | 1.32578 | − | 0.852028i | 0.330017 | − | 0.943975i | \(-0.392945\pi\) |
0.995764 | + | 0.0919469i | \(0.0293090\pi\) | |||||||
\(422\) | −1.09957 | − | 2.40773i | −0.0535263 | − | 0.117206i | ||||
\(423\) | 1.62466 | + | 1.87496i | 0.0789937 | + | 0.0911635i | ||||
\(424\) | 2.82130 | + | 1.81314i | 0.137014 | + | 0.0880538i | ||||
\(425\) | 1.16662 | − | 8.11400i | 0.0565892 | − | 0.393587i | ||||
\(426\) | 0.342700 | − | 2.38353i | 0.0166039 | − | 0.115482i | ||||
\(427\) | −2.26268 | − | 1.45413i | −0.109499 | − | 0.0703705i | ||||
\(428\) | 16.3304 | + | 18.8462i | 0.789358 | + | 0.910967i | ||||
\(429\) | 0.0408661 | + | 0.0894842i | 0.00197303 | + | 0.00432034i | ||||
\(430\) | −1.10420 | + | 0.709625i | −0.0532492 | + | 0.0342212i | ||||
\(431\) | 24.9158 | + | 7.31593i | 1.20015 | + | 0.352396i | 0.819910 | − | 0.572492i | \(-0.194023\pi\) |
0.380240 | + | 0.924888i | \(0.375841\pi\) | |||||||
\(432\) | −1.75278 | + | 2.02282i | −0.0843308 | + | 0.0973229i | ||||
\(433\) | −28.9446 | + | 8.49891i | −1.39099 | + | 0.408432i | −0.889581 | − | 0.456778i | \(-0.849003\pi\) |
−0.501410 | + | 0.865210i | \(0.667185\pi\) | |||||||
\(434\) | −0.372381 | + | 0.815401i | −0.0178749 | + | 0.0391405i | ||||
\(435\) | 0.465186 | + | 3.23544i | 0.0223040 | + | 0.155128i | ||||
\(436\) | 1.16431 | 0.0557602 | ||||||||
\(437\) | 0.659366 | + | 7.38594i | 0.0315417 | + | 0.353318i | ||||
\(438\) | 2.30827 | 0.110293 | ||||||||
\(439\) | 4.28589 | + | 29.8090i | 0.204554 | + | 1.42271i | 0.790553 | + | 0.612394i | \(0.209793\pi\) |
−0.585999 | + | 0.810312i | \(0.699298\pi\) | |||||||
\(440\) | 0.293103 | − | 0.641805i | 0.0139731 | − | 0.0305969i | ||||
\(441\) | −0.959493 | + | 0.281733i | −0.0456901 | + | 0.0134158i | ||||
\(442\) | −0.161809 | + | 0.186737i | −0.00769645 | + | 0.00888218i | ||||
\(443\) | −27.6756 | − | 8.12628i | −1.31491 | − | 0.386091i | −0.452254 | − | 0.891889i | \(-0.649380\pi\) |
−0.862652 | + | 0.505798i | \(0.831198\pi\) | |||||||
\(444\) | 9.21458 | − | 5.92185i | 0.437305 | − | 0.281039i | ||||
\(445\) | −0.433841 | − | 0.949980i | −0.0205661 | − | 0.0450334i | ||||
\(446\) | 7.50180 | + | 8.65754i | 0.355220 | + | 0.409946i | ||||
\(447\) | 6.44940 | + | 4.14477i | 0.305046 | + | 0.196041i | ||||
\(448\) | 0.428340 | − | 2.97917i | 0.0202372 | − | 0.140752i | ||||
\(449\) | 5.07202 | − | 35.2767i | 0.239364 | − | 1.66481i | −0.415900 | − | 0.909410i | \(-0.636533\pi\) |
0.655264 | − | 0.755400i | \(-0.272558\pi\) | |||||||
\(450\) | −1.61148 | − | 1.03563i | −0.0759657 | − | 0.0488202i | ||||
\(451\) | 1.08187 | + | 1.24854i | 0.0509432 | + | 0.0587916i | ||||
\(452\) | 7.62415 | + | 16.6946i | 0.358610 | + | 0.785247i | ||||
\(453\) | −5.43700 | + | 3.49415i | −0.255453 | + | 0.164169i | ||||
\(454\) | −9.08021 | − | 2.66619i | −0.426156 | − | 0.125131i | ||||
\(455\) | 0.164872 | − | 0.190272i | 0.00772932 | − | 0.00892011i | ||||
\(456\) | −2.67894 | + | 0.786607i | −0.125453 | + | 0.0368362i | ||||
\(457\) | −0.879011 | + | 1.92477i | −0.0411184 | + | 0.0900367i | −0.929077 | − | 0.369888i | \(-0.879396\pi\) |
0.887958 | + | 0.459924i | \(0.152123\pi\) | |||||||
\(458\) | 0.855204 | + | 5.94808i | 0.0399611 | + | 0.277935i | ||||
\(459\) | 2.04936 | 0.0956559 | ||||||||
\(460\) | 6.88673 | + | 4.96826i | 0.321095 | + | 0.231646i | ||||
\(461\) | 24.1343 | 1.12405 | 0.562023 | − | 0.827122i | \(-0.310023\pi\) | ||||
0.562023 | + | 0.827122i | \(0.310023\pi\) | |||||||
\(462\) | −0.0266299 | − | 0.185215i | −0.00123894 | − | 0.00861699i | ||||
\(463\) | −2.76919 | + | 6.06367i | −0.128695 | + | 0.281803i | −0.963000 | − | 0.269500i | \(-0.913142\pi\) |
0.834305 | + | 0.551302i | \(0.185869\pi\) | |||||||
\(464\) | −8.39456 | + | 2.46486i | −0.389707 | + | 0.114428i | ||||
\(465\) | −1.22579 | + | 1.41464i | −0.0568448 | + | 0.0656024i | ||||
\(466\) | 1.33529 | + | 0.392078i | 0.0618563 | + | 0.0181627i | ||||
\(467\) | −22.9811 | + | 14.7691i | −1.06344 | + | 0.683431i | −0.950674 | − | 0.310191i | \(-0.899607\pi\) |
−0.112765 | + | 0.993622i | \(0.535971\pi\) | |||||||
\(468\) | −0.185189 | − | 0.405508i | −0.00856038 | − | 0.0187446i | ||||
\(469\) | 0.530047 | + | 0.611707i | 0.0244753 | + | 0.0282460i | ||||
\(470\) | 0.999488 | + | 0.642332i | 0.0461029 | + | 0.0296286i | ||||
\(471\) | −0.488347 | + | 3.39653i | −0.0225019 | + | 0.156504i | ||||
\(472\) | −1.11949 | + | 7.78625i | −0.0515289 | + | 0.358391i | ||||
\(473\) | 0.900934 | + | 0.578995i | 0.0414250 | + | 0.0266222i | ||||
\(474\) | −5.31121 | − | 6.12946i | −0.243952 | − | 0.281535i | ||||
\(475\) | 2.56926 | + | 5.62589i | 0.117886 | + | 0.258134i | ||||
\(476\) | −3.05268 | + | 1.96184i | −0.139919 | + | 0.0899206i | ||||
\(477\) | 1.78201 | + | 0.523244i | 0.0815924 | + | 0.0239577i | ||||
\(478\) | 0.725029 | − | 0.836729i | 0.0331621 | − | 0.0382711i | ||||
\(479\) | −21.4351 | + | 6.29391i | −0.979394 | + | 0.287576i | −0.731974 | − | 0.681332i | \(-0.761401\pi\) |
−0.247420 | + | 0.968908i | \(0.579583\pi\) | |||||||
\(480\) | −2.03274 | + | 4.45107i | −0.0927813 | + | 0.203163i | ||||
\(481\) | 0.221646 | + | 1.54158i | 0.0101062 | + | 0.0702902i | ||||
\(482\) | −8.03923 | −0.366177 | ||||||||
\(483\) | 4.78890 | + | 0.257712i | 0.217903 | + | 0.0117263i | ||||
\(484\) | 19.2070 | 0.873044 | ||||||||
\(485\) | 1.32180 | + | 9.19333i | 0.0600199 | + | 0.417448i | ||||
\(486\) | 0.198939 | − | 0.435615i | 0.00902404 | − | 0.0197599i | ||||
\(487\) | −28.3866 | + | 8.33504i | −1.28632 | + | 0.377697i | −0.852227 | − | 0.523172i | \(-0.824748\pi\) |
−0.434091 | + | 0.900869i | \(0.642930\pi\) | |||||||
\(488\) | −3.18053 | + | 3.67053i | −0.143976 | + | 0.166157i | ||||
\(489\) | 10.0579 | + | 2.95326i | 0.454834 | + | 0.133551i | ||||
\(490\) | −0.402869 | + | 0.258908i | −0.0181998 | + | 0.0116963i | ||||
\(491\) | 0.525598 | + | 1.15090i | 0.0237199 | + | 0.0519394i | 0.921121 | − | 0.389276i | \(-0.127275\pi\) |
−0.897401 | + | 0.441215i | \(0.854547\pi\) | |||||||
\(492\) | −4.90262 | − | 5.65792i | −0.221027 | − | 0.255079i | ||||
\(493\) | 5.63536 | + | 3.62163i | 0.253804 | + | 0.163110i | ||||
\(494\) | 0.0265308 | − | 0.184526i | 0.00119368 | − | 0.00830222i | ||||
\(495\) | 0.0556075 | − | 0.386758i | 0.00249937 | − | 0.0173835i | ||||
\(496\) | −4.21478 | − | 2.70867i | −0.189249 | − | 0.121623i | ||||
\(497\) | 3.29288 | + | 3.80018i | 0.147706 | + | 0.170462i | ||||
\(498\) | −1.98181 | − | 4.33956i | −0.0888071 | − | 0.194460i | ||||
\(499\) | 12.4300 | − | 7.98830i | 0.556445 | − | 0.357605i | −0.231995 | − | 0.972717i | \(-0.574525\pi\) |
0.788440 | + | 0.615112i | \(0.210889\pi\) | |||||||
\(500\) | 15.2904 | + | 4.48968i | 0.683810 | + | 0.200785i | ||||
\(501\) | 10.0243 | − | 11.5687i | 0.447854 | − | 0.516851i | ||||
\(502\) | 3.59841 | − | 1.05659i | 0.160605 | − | 0.0471578i | ||||
\(503\) | 14.3969 | − | 31.5248i | 0.641926 | − | 1.40562i | −0.256520 | − | 0.966539i | \(-0.582576\pi\) |
0.898446 | − | 0.439083i | \(-0.144697\pi\) | |||||||
\(504\) | 0.256983 | + | 1.78736i | 0.0114469 | + | 0.0796153i | ||||
\(505\) | −8.95086 | −0.398308 | ||||||||
\(506\) | −0.175260 | + | 0.880115i | −0.00779128 | + | 0.0391259i | ||||
\(507\) | −12.9366 | −0.574535 | ||||||||
\(508\) | 2.88124 | + | 20.0395i | 0.127834 | + | 0.889107i | ||||
\(509\) | −6.35173 | + | 13.9083i | −0.281535 | + | 0.616476i | −0.996583 | − | 0.0825996i | \(-0.973678\pi\) |
0.715048 | + | 0.699076i | \(0.246405\pi\) | |||||||
\(510\) | 0.941666 | − | 0.276498i | 0.0416977 | − | 0.0122435i | ||||
\(511\) | −3.15644 | + | 3.64273i | −0.139633 | + | 0.161145i | ||||
\(512\) | −21.8415 | − | 6.41324i | −0.965266 | − | 0.283428i | ||||
\(513\) | −1.30075 | + | 0.835939i | −0.0574294 | + | 0.0369076i | ||||
\(514\) | 1.73148 | + | 3.79141i | 0.0763723 | + | 0.167232i | ||||
\(515\) | 0.149546 | + | 0.172586i | 0.00658980 | + | 0.00760503i | ||||
\(516\) | −4.08269 | − | 2.62378i | −0.179730 | − | 0.115506i | ||||
\(517\) | 0.137958 | − | 0.959518i | 0.00606738 | − | 0.0421996i | ||||
\(518\) | 0.421599 | − | 2.93229i | 0.0185240 | − | 0.128837i | ||||
\(519\) | −19.4060 | − | 12.4715i | −0.851831 | − | 0.547438i | ||||
\(520\) | −0.297716 | − | 0.343582i | −0.0130557 | − | 0.0150671i | ||||
\(521\) | 0.411285 | + | 0.900589i | 0.0180187 | + | 0.0394555i | 0.918427 | − | 0.395590i | \(-0.129460\pi\) |
−0.900409 | + | 0.435045i | \(0.856732\pi\) | |||||||
\(522\) | 1.31686 | − | 0.846297i | 0.0576375 | − | 0.0370414i | ||||
\(523\) | 38.0879 | + | 11.1836i | 1.66547 | + | 0.489025i | 0.972686 | − | 0.232124i | \(-0.0745676\pi\) |
0.692780 | + | 0.721149i | \(0.256386\pi\) | |||||||
\(524\) | 3.83835 | − | 4.42970i | 0.167679 | − | 0.193512i | ||||
\(525\) | 3.83797 | − | 1.12693i | 0.167503 | − | 0.0491833i | ||||
\(526\) | 0.351322 | − | 0.769287i | 0.0153183 | − | 0.0335425i | ||||
\(527\) | 0.545930 | + | 3.79702i | 0.0237811 | + | 0.165401i | ||||
\(528\) | 1.04583 | 0.0455140 | ||||||||
\(529\) | −21.2455 | − | 8.81076i | −0.923717 | − | 0.383077i | ||||
\(530\) | 0.889415 | 0.0386337 | ||||||||
\(531\) | 0.619965 | + | 4.31195i | 0.0269042 | + | 0.187123i | ||||
\(532\) | 1.13732 | − | 2.49039i | 0.0493092 | − | 0.107972i | ||||
\(533\) | 1.02137 | − | 0.299901i | 0.0442404 | − | 0.0129902i | ||||
\(534\) | −0.327518 | + | 0.377976i | −0.0141731 | + | 0.0163566i | ||||
\(535\) | 13.5130 | + | 3.96778i | 0.584219 | + | 0.171542i | ||||
\(536\) | 1.22955 | − | 0.790186i | 0.0531086 | − | 0.0341308i | ||||
\(537\) | −0.599889 | − | 1.31357i | −0.0258871 | − | 0.0566849i | ||||
\(538\) | 1.66621 | + | 1.92290i | 0.0718352 | + | 0.0829023i | ||||
\(539\) | 0.328708 | + | 0.211248i | 0.0141584 | + | 0.00909908i | ||||
\(540\) | −0.251992 | + | 1.75264i | −0.0108440 | + | 0.0754216i | ||||
\(541\) | 3.77722 | − | 26.2712i | 0.162396 | − | 1.12949i | −0.731706 | − | 0.681621i | \(-0.761275\pi\) |
0.894101 | − | 0.447865i | \(-0.147815\pi\) | |||||||
\(542\) | −9.54487 | − | 6.13411i | −0.409987 | − | 0.263483i | ||||
\(543\) | −0.240033 | − | 0.277013i | −0.0103008 | − | 0.0118878i | ||||
\(544\) | 4.16580 | + | 9.12184i | 0.178607 | + | 0.391096i | ||||
\(545\) | 0.553170 | − | 0.355501i | 0.0236952 | − | 0.0152280i | ||||
\(546\) | −0.115685 | − | 0.0339682i | −0.00495086 | − | 0.00145370i | ||||
\(547\) | −1.55178 | + | 1.79085i | −0.0663492 | + | 0.0765710i | −0.787954 | − | 0.615734i | \(-0.788859\pi\) |
0.721605 | + | 0.692305i | \(0.243405\pi\) | |||||||
\(548\) | −16.1678 | + | 4.74730i | −0.690655 | + | 0.202795i | ||||
\(549\) | −1.11732 | + | 2.44659i | −0.0476861 | + | 0.104418i | ||||
\(550\) | 0.106520 | + | 0.740861i | 0.00454202 | + | 0.0315904i | ||||
\(551\) | −5.05408 | −0.215311 | ||||||||
\(552\) | 1.69129 | − | 8.49326i | 0.0719862 | − | 0.361497i | ||||
\(553\) | 16.9359 | 0.720186 | ||||||||
\(554\) | 2.05376 | + | 14.2842i | 0.0872560 | + | 0.606879i | ||||
\(555\) | 2.56977 | − | 5.62702i | 0.109081 | − | 0.238854i | ||||
\(556\) | −10.2738 | + | 3.01667i | −0.435708 | + | 0.127935i | ||||
\(557\) | 12.1178 | − | 13.9847i | 0.513448 | − | 0.592550i | −0.438530 | − | 0.898716i | \(-0.644501\pi\) |
0.951978 | + | 0.306166i | \(0.0990463\pi\) | |||||||
\(558\) | 0.860097 | + | 0.252547i | 0.0364108 | + | 0.0106912i | ||||
\(559\) | 0.580507 | − | 0.373069i | 0.0245528 | − | 0.0157792i | ||||
\(560\) | −1.11189 | − | 2.43470i | −0.0469859 | − | 0.102885i | ||||
\(561\) | −0.524385 | − | 0.605172i | −0.0221395 | − | 0.0255504i | ||||
\(562\) | −5.21376 | − | 3.35068i | −0.219929 | − | 0.141340i | ||||
\(563\) | −1.02631 | + | 7.13814i | −0.0432538 | + | 0.300837i | 0.956699 | + | 0.291080i | \(0.0940147\pi\) |
−0.999952 | + | 0.00975630i | \(0.996894\pi\) | |||||||
\(564\) | −0.625172 | + | 4.34817i | −0.0263245 | + | 0.183091i | ||||
\(565\) | 8.71968 | + | 5.60380i | 0.366840 | + | 0.235754i | ||||
\(566\) | −2.83525 | − | 3.27205i | −0.119174 | − | 0.137534i | ||||
\(567\) | 0.415415 | + | 0.909632i | 0.0174458 | + | 0.0382010i | ||||
\(568\) | 7.63850 | − | 4.90897i | 0.320505 | − | 0.205976i | ||||
\(569\) | −45.5160 | − | 13.3647i | −1.90813 | − | 0.560277i | −0.983991 | − | 0.178218i | \(-0.942967\pi\) |
−0.924138 | − | 0.382060i | \(-0.875215\pi\) | |||||||
\(570\) | −0.484900 | + | 0.559604i | −0.0203102 | + | 0.0234392i | ||||
\(571\) | 16.5605 | − | 4.86259i | 0.693034 | − | 0.203493i | 0.0837986 | − | 0.996483i | \(-0.473295\pi\) |
0.609235 | + | 0.792990i | \(0.291477\pi\) | |||||||
\(572\) | −0.0723600 | + | 0.158446i | −0.00302553 | + | 0.00662498i | ||||
\(573\) | −0.781711 | − | 5.43692i | −0.0326565 | − | 0.227131i | ||||
\(574\) | −2.02479 | −0.0845131 | ||||||||
\(575\) | −19.1556 | − | 1.03085i | −0.798844 | − | 0.0429894i | ||||
\(576\) | −3.00980 | −0.125409 | ||||||||
\(577\) | 1.54374 | + | 10.7370i | 0.0642668 | + | 0.446985i | 0.996393 | + | 0.0848530i | \(0.0270421\pi\) |
−0.932127 | + | 0.362132i | \(0.882049\pi\) | |||||||
\(578\) | −2.54644 | + | 5.57593i | −0.105918 | + | 0.231928i | ||||
\(579\) | −18.7522 | + | 5.50613i | −0.779313 | + | 0.228827i | ||||
\(580\) | −3.79020 | + | 4.37412i | −0.157379 | + | 0.181625i | ||||
\(581\) | 9.55839 | + | 2.80660i | 0.396549 | + | 0.116437i | ||||
\(582\) | 3.74180 | − | 2.40471i | 0.155102 | − | 0.0996783i | ||||
\(583\) | −0.301462 | − | 0.660109i | −0.0124853 | − | 0.0273389i | ||||
\(584\) | 5.69971 | + | 6.57782i | 0.235856 | + | 0.272192i | ||||
\(585\) | −0.211799 | − | 0.136115i | −0.00875683 | − | 0.00562767i | ||||
\(586\) | 0.927130 | − | 6.44833i | 0.0382994 | − | 0.266378i | ||||
\(587\) | 5.65429 | − | 39.3264i | 0.233377 | − | 1.62318i | −0.449943 | − | 0.893057i | \(-0.648556\pi\) |
0.683320 | − | 0.730119i | \(-0.260535\pi\) | |||||||
\(588\) | −1.48958 | − | 0.957293i | −0.0614291 | − | 0.0394781i | ||||
\(589\) | −1.89532 | − | 2.18732i | −0.0780954 | − | 0.0901269i | ||||
\(590\) | 0.866635 | + | 1.89767i | 0.0356788 | + | 0.0781256i | ||||
\(591\) | −8.84184 | + | 5.68231i | −0.363705 | + | 0.233739i | ||||
\(592\) | 15.8867 | + | 4.66476i | 0.652939 | + | 0.191720i | ||||
\(593\) | 18.0484 | − | 20.8290i | 0.741160 | − | 0.855345i | −0.252520 | − | 0.967592i | \(-0.581259\pi\) |
0.993680 | + | 0.112247i | \(0.0358048\pi\) | |||||||
\(594\) | −0.179540 | + | 0.0527178i | −0.00736662 | + | 0.00216304i | ||||
\(595\) | −0.851334 | + | 1.86416i | −0.0349013 | + | 0.0764232i | ||||
\(596\) | 1.93187 | + | 13.4365i | 0.0791325 | + | 0.550379i | ||||
\(597\) | −17.3201 | −0.708866 | ||||||||
\(598\) | 0.468934 | + | 0.338301i | 0.0191762 | + | 0.0138342i | ||||
\(599\) | −1.81467 | −0.0741453 | −0.0370726 | − | 0.999313i | \(-0.511803\pi\) | ||||
−0.0370726 | + | 0.999313i | \(0.511803\pi\) | |||||||
\(600\) | −1.02793 | − | 7.14943i | −0.0419652 | − | 0.291874i | ||||
\(601\) | 2.77073 | − | 6.06705i | 0.113020 | − | 0.247480i | −0.844666 | − | 0.535294i | \(-0.820201\pi\) |
0.957687 | + | 0.287813i | \(0.0929283\pi\) | |||||||
\(602\) | −1.25940 | + | 0.369792i | −0.0513291 | + | 0.0150716i | ||||
\(603\) | 0.530047 | − | 0.611707i | 0.0215852 | − | 0.0249106i | ||||
\(604\) | −10.9802 | − | 3.22408i | −0.446778 | − | 0.131186i | ||||
\(605\) | 9.12535 | − | 5.86451i | 0.370998 | − | 0.238426i | ||||
\(606\) | 1.78067 | + | 3.89913i | 0.0723349 | + | 0.158391i | ||||
\(607\) | 17.3716 | + | 20.0479i | 0.705092 | + | 0.813720i | 0.989431 | − | 0.145004i | \(-0.0463195\pi\) |
−0.284339 | + | 0.958724i | \(0.591774\pi\) | |||||||
\(608\) | −6.36490 | − | 4.09047i | −0.258131 | − | 0.165890i | ||||
\(609\) | −0.465186 | + | 3.23544i | −0.0188503 | + | 0.131107i | ||||
\(610\) | −0.183309 | + | 1.27494i | −0.00742195 | + | 0.0516208i | ||||
\(611\) | −0.525458 | − | 0.337692i | −0.0212578 | − | 0.0136615i | ||||
\(612\) | 2.37631 | + | 2.74241i | 0.0960566 | + | 0.110855i | ||||
\(613\) | 5.38206 | + | 11.7851i | 0.217379 | + | 0.475994i | 0.986635 | − | 0.162947i | \(-0.0521000\pi\) |
−0.769256 | + | 0.638941i | \(0.779373\pi\) | |||||||
\(614\) | −7.85277 | + | 5.04667i | −0.316912 | + | 0.203667i | ||||
\(615\) | −4.05681 | − | 1.19119i | −0.163586 | − | 0.0480333i | ||||
\(616\) | 0.462048 | − | 0.533231i | 0.0186164 | − | 0.0214845i | ||||
\(617\) | −22.7817 | + | 6.68930i | −0.917155 | + | 0.269301i | −0.706050 | − | 0.708162i | \(-0.749524\pi\) |
−0.211105 | + | 0.977463i | \(0.567706\pi\) | |||||||
\(618\) | 0.0454303 | − | 0.0994786i | 0.00182748 | − | 0.00400162i | ||||
\(619\) | 0.645594 | + | 4.49021i | 0.0259486 | + | 0.180477i | 0.998674 | − | 0.0514839i | \(-0.0163951\pi\) |
−0.972725 | + | 0.231960i | \(0.925486\pi\) | |||||||
\(620\) | −3.31440 | −0.133109 | ||||||||
\(621\) | −0.426443 | − | 4.77683i | −0.0171126 | − | 0.191688i | ||||
\(622\) | 0.981730 | 0.0393638 | ||||||||
\(623\) | −0.148627 | − | 1.03373i | −0.00595463 | − | 0.0414154i | ||||
\(624\) | 0.279936 | − | 0.612975i | 0.0112064 | − | 0.0245386i | ||||
\(625\) | −10.5544 | + | 3.09906i | −0.422177 | + | 0.123962i | ||||
\(626\) | −4.85614 | + | 5.60429i | −0.194090 | + | 0.223992i | ||||
\(627\) | 0.579683 | + | 0.170210i | 0.0231503 | + | 0.00679754i | ||||
\(628\) | −5.11142 | + | 3.28491i | −0.203968 | + | 0.131082i | ||||
\(629\) | −5.26639 | − | 11.5318i | −0.209985 | − | 0.459802i | ||||
\(630\) | 0.313607 | + | 0.361922i | 0.0124944 | + | 0.0144193i | ||||
\(631\) | 13.6769 | + | 8.78959i | 0.544468 | + | 0.349908i | 0.783784 | − | 0.621033i | \(-0.213287\pi\) |
−0.239316 | + | 0.970942i | \(0.576923\pi\) | |||||||
\(632\) | 4.35223 | − | 30.2704i | 0.173123 | − | 1.20409i | ||||
\(633\) | 0.786601 | − | 5.47093i | 0.0312646 | − | 0.217450i | ||||
\(634\) | −5.49040 | − | 3.52846i | −0.218052 | − | 0.140133i | ||||
\(635\) | 7.48759 | + | 8.64114i | 0.297136 | + | 0.342913i | ||||
\(636\) | 1.36611 | + | 2.99136i | 0.0541697 | + | 0.118615i | ||||
\(637\) | 0.211799 | − | 0.136115i | 0.00839180 | − | 0.00539308i | ||||
\(638\) | −0.586865 | − | 0.172319i | −0.0232342 | − | 0.00682218i | ||||
\(639\) | 3.29288 | − | 3.80018i | 0.130264 | − | 0.150333i | ||||
\(640\) | −10.7731 | + | 3.16326i | −0.425844 | + | 0.125039i | ||||
\(641\) | 16.4581 | − | 36.0381i | 0.650054 | − | 1.42342i | −0.241452 | − | 0.970413i | \(-0.577624\pi\) |
0.891507 | − | 0.453008i | \(-0.149649\pi\) | |||||||
\(642\) | −0.959838 | − | 6.67582i | −0.0378818 | − | 0.263474i | ||||
\(643\) | −8.61003 | −0.339546 | −0.169773 | − | 0.985483i | \(-0.554304\pi\) | ||||
−0.169773 | + | 0.985483i | \(0.554304\pi\) | |||||||
\(644\) | 5.20805 | + | 6.70723i | 0.205226 | + | 0.264302i | ||||
\(645\) | −2.74084 | −0.107920 | ||||||||
\(646\) | 0.215959 | + | 1.50203i | 0.00849679 | + | 0.0590965i | ||||
\(647\) | −9.11327 | + | 19.9553i | −0.358280 | + | 0.784523i | 0.641568 | + | 0.767066i | \(0.278284\pi\) |
−0.999848 | + | 0.0174569i | \(0.994443\pi\) | |||||||
\(648\) | 1.73259 | − | 0.508735i | 0.0680627 | − | 0.0199850i | ||||
\(649\) | 1.11468 | − | 1.28640i | 0.0437549 | − | 0.0504958i | ||||
\(650\) | 0.462740 | + | 0.135873i | 0.0181501 | + | 0.00532936i | ||||
\(651\) | −1.57469 | + | 1.01199i | −0.0617170 | + | 0.0396631i | ||||
\(652\) | 7.71051 | + | 16.8837i | 0.301967 | + | 0.661215i | ||||
\(653\) | −6.39089 | − | 7.37548i | −0.250095 | − | 0.288625i | 0.616796 | − | 0.787123i | \(-0.288430\pi\) |
−0.866891 | + | 0.498498i | \(0.833885\pi\) | |||||||
\(654\) | −0.264909 | − | 0.170246i | −0.0103587 | − | 0.00665716i | ||||
\(655\) | 0.471097 | − | 3.27655i | 0.0184073 | − | 0.128025i | ||||
\(656\) | 1.61054 | − | 11.2016i | 0.0628811 | − | 0.437348i | ||||
\(657\) | 4.05486 | + | 2.60590i | 0.158195 | + | 0.101666i | ||||
\(658\) | 0.778036 | + | 0.897901i | 0.0303310 | + | 0.0350038i | ||||
\(659\) | −19.8707 | − | 43.5108i | −0.774054 | − | 1.69494i | −0.717517 | − | 0.696541i | \(-0.754721\pi\) |
−0.0565375 | − | 0.998400i | \(-0.518006\pi\) | |||||||
\(660\) | 0.582030 | − | 0.374048i | 0.0226555 | − | 0.0145598i | ||||
\(661\) | 14.0244 | + | 4.11794i | 0.545486 | + | 0.160169i | 0.542854 | − | 0.839827i | \(-0.317344\pi\) |
0.00263251 | + | 0.999997i | \(0.499162\pi\) | |||||||
\(662\) | −0.738306 | + | 0.852051i | −0.0286951 | + | 0.0331159i | ||||
\(663\) | −0.495060 | + | 0.145363i | −0.0192265 | + | 0.00564542i | ||||
\(664\) | 7.47274 | − | 16.3630i | 0.289999 | − | 0.635009i | ||||
\(665\) | −0.220047 | − | 1.53046i | −0.00853307 | − | 0.0593488i | ||||
\(666\) | −2.96244 | −0.114792 | ||||||||
\(667\) | 7.26898 | − | 13.8890i | 0.281456 | − | 0.537785i | ||||
\(668\) | 27.1046 | 1.04871 | ||||||||
\(669\) | 3.40431 | + | 23.6775i | 0.131618 | + | 0.915426i | ||||
\(670\) | 0.161022 | − | 0.352589i | 0.00622082 | − | 0.0136217i | ||||
\(671\) | 1.00837 | − | 0.296084i | 0.0389277 | − | 0.0114302i | ||||
\(672\) | −3.20441 | + | 3.69808i | −0.123613 | + | 0.142657i | ||||
\(673\) | −8.22431 | − | 2.41488i | −0.317024 | − | 0.0930866i | 0.119349 | − | 0.992852i | \(-0.461919\pi\) |
−0.436373 | + | 0.899766i | \(0.643737\pi\) | |||||||
\(674\) | −9.14460 | + | 5.87688i | −0.352237 | + | 0.226369i | ||||
\(675\) | −1.66166 | − | 3.63853i | −0.0639573 | − | 0.140047i | ||||
\(676\) | −15.0005 | − | 17.3115i | −0.576942 | − | 0.665827i | ||||
\(677\) | −1.91038 | − | 1.22772i | −0.0734217 | − | 0.0471853i | 0.503415 | − | 0.864045i | \(-0.332077\pi\) |
−0.576837 | + | 0.816860i | \(0.695713\pi\) | |||||||
\(678\) | 0.706417 | − | 4.91324i | 0.0271298 | − | 0.188692i | ||||
\(679\) | −1.32180 | + | 9.19333i | −0.0507261 | + | 0.352808i | ||||
\(680\) | 3.11315 | + | 2.00070i | 0.119384 | + | 0.0767233i | ||||
\(681\) | −12.9409 | − | 14.9347i | −0.495898 | − | 0.572297i | ||||
\(682\) | −0.145503 | − | 0.318606i | −0.00557158 | − | 0.0122001i | ||||
\(683\) | 32.4859 | − | 20.8774i | 1.24304 | − | 0.798853i | 0.257170 | − | 0.966366i | \(-0.417210\pi\) |
0.985870 | + | 0.167513i | \(0.0535737\pi\) | |||||||
\(684\) | −2.62690 | − | 0.771327i | −0.100442 | − | 0.0294924i | ||||
\(685\) | −6.23194 | + | 7.19204i | −0.238110 | + | 0.274794i | ||||
\(686\) | −0.459493 | + | 0.134919i | −0.0175435 | + | 0.00515124i | ||||
\(687\) | −5.21272 | + | 11.4143i | −0.198878 | + | 0.435482i | ||||
\(688\) | −1.04403 | − | 7.26138i | −0.0398032 | − | 0.276837i | ||||
\(689\) | −0.467590 | −0.0178138 | ||||||||
\(690\) | −0.840435 | − | 2.13739i | −0.0319948 | − | 0.0813689i | ||||
\(691\) | 44.1124 | 1.67812 | 0.839058 | − | 0.544042i | \(-0.183107\pi\) | ||||
0.839058 | + | 0.544042i | \(0.183107\pi\) | |||||||
\(692\) | −5.81294 | − | 40.4299i | −0.220975 | − | 1.53691i | ||||
\(693\) | 0.162317 | − | 0.355426i | 0.00616593 | − | 0.0135015i | ||||
\(694\) | 9.79046 | − | 2.87474i | 0.371641 | − | 0.109124i | ||||
\(695\) | −3.96008 | + | 4.57018i | −0.150214 | + | 0.173357i | ||||
\(696\) | 5.66335 | + | 1.66291i | 0.214669 | + | 0.0630324i | ||||
\(697\) | −7.28934 | + | 4.68457i | −0.276103 | + | 0.177441i | ||||
\(698\) | 5.37505 | + | 11.7697i | 0.203449 | + | 0.445490i | ||||
\(699\) | 1.90304 | + | 2.19622i | 0.0719794 | + | 0.0830687i | ||||
\(700\) | 5.95831 | + | 3.82917i | 0.225203 | + | 0.144729i | ||||
\(701\) | 3.56597 | − | 24.8019i | 0.134685 | − | 0.936754i | −0.804649 | − | 0.593750i | \(-0.797647\pi\) |
0.939334 | − | 0.343003i | \(-0.111444\pi\) | |||||||
\(702\) | −0.0171587 | + | 0.119342i | −0.000647614 | + | 0.00450426i | ||||
\(703\) | 8.04647 | + | 5.17115i | 0.303478 | + | 0.195034i | ||||
\(704\) | 0.770141 | + | 0.888790i | 0.0290258 | + | 0.0334975i | ||||
\(705\) | 1.03061 | + | 2.25673i | 0.0388151 | + | 0.0849933i | ||||
\(706\) | −10.6531 | + | 6.84634i | −0.400935 | + | 0.257665i | ||||
\(707\) | −8.58829 | − | 2.52175i | −0.322996 | − | 0.0948401i | ||||
\(708\) | −5.05128 | + | 5.82949i | −0.189839 | + | 0.219086i | ||||
\(709\) | 13.9531 | − | 4.09700i | 0.524020 | − | 0.153866i | −0.00901521 | − | 0.999959i | \(-0.502870\pi\) |
0.533035 | + | 0.846093i | \(0.321051\pi\) | |||||||
\(710\) | 1.00034 | − | 2.19043i | 0.0375419 | − | 0.0822054i | ||||
\(711\) | −2.41022 | − | 16.7635i | −0.0903904 | − | 0.628679i | ||||
\(712\) | −1.88583 | −0.0706746 | ||||||||
\(713\) | 8.73685 | − | 2.06261i | 0.327198 | − | 0.0772454i | ||||
\(714\) | 0.981420 | 0.0367287 | ||||||||
\(715\) | 0.0140001 | + | 0.0973728i | 0.000523574 | + | 0.00364154i | ||||
\(716\) | 1.06220 | − | 2.32590i | 0.0396963 | − | 0.0869228i | ||||
\(717\) | 2.21825 | − | 0.651338i | 0.0828422 | − | 0.0243247i | ||||
\(718\) | 2.34265 | − | 2.70356i | 0.0874268 | − | 0.100896i | ||||
\(719\) | −26.0479 | − | 7.64836i | −0.971423 | − | 0.285236i | −0.242744 | − | 0.970090i | \(-0.578047\pi\) |
−0.728679 | + | 0.684855i | \(0.759866\pi\) | |||||||
\(720\) | −2.25168 | + | 1.44706i | −0.0839150 | + | 0.0539289i | ||||
\(721\) | 0.0948656 | + | 0.207727i | 0.00353298 | + | 0.00773615i | ||||
\(722\) | 5.20878 | + | 6.01126i | 0.193851 | + | 0.223716i | ||||
\(723\) | −14.1223 | − | 9.07583i | −0.525213 | − | 0.337534i | ||||
\(724\) | 0.0923653 | − | 0.642415i | 0.00343273 | − | 0.0238751i | ||||
\(725\) | 1.86075 | − | 12.9418i | 0.0691063 | − | 0.480645i | ||||
\(726\) | −4.37005 | − | 2.80846i | −0.162188 | − | 0.104232i | ||||
\(727\) | −4.94558 | − | 5.70751i | −0.183421 | − | 0.211680i | 0.656591 | − | 0.754247i | \(-0.271998\pi\) |
−0.840012 | + | 0.542567i | \(0.817452\pi\) | |||||||
\(728\) | −0.188858 | − | 0.413541i | −0.00699953 | − | 0.0153268i | ||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | 2.21477 | + | 0.650314i | 0.0819722 | + | 0.0240692i | ||||
\(731\) | −3.67832 | + | 4.24501i | −0.136048 | + | 0.157007i | ||||
\(732\) | −4.56955 | + | 1.34174i | −0.168895 | + | 0.0495922i | ||||
\(733\) | 3.04093 | − | 6.65872i | 0.112319 | − | 0.245945i | −0.845122 | − | 0.534574i | \(-0.820472\pi\) |
0.957441 | + | 0.288629i | \(0.0931993\pi\) | |||||||
\(734\) | 2.01490 | + | 14.0140i | 0.0743715 | + | 0.517265i | ||||
\(735\) | −1.00000 | −0.0368856 | ||||||||
\(736\) | 20.3952 | − | 11.6082i | 0.751776 | − | 0.427883i | ||||
\(737\) | −0.316263 | −0.0116497 | ||||||||
\(738\) | 0.288158 | + | 2.00418i | 0.0106072 | + | 0.0737749i | ||||
\(739\) | −1.94195 | + | 4.25228i | −0.0714358 | + | 0.156423i | −0.941981 | − | 0.335665i | \(-0.891039\pi\) |
0.870545 | + | 0.492088i | \(0.163766\pi\) | |||||||
\(740\) | 10.5097 | − | 3.08593i | 0.386344 | − | 0.113441i | ||||
\(741\) | 0.254925 | − | 0.294199i | 0.00936491 | − | 0.0108077i | ||||
\(742\) | 0.853387 | + | 0.250577i | 0.0313288 | + | 0.00919897i | ||||
\(743\) | 11.7661 | − | 7.56164i | 0.431658 | − | 0.277409i | −0.306716 | − | 0.951801i | \(-0.599230\pi\) |
0.738374 | + | 0.674391i | \(0.235594\pi\) | |||||||
\(744\) | 1.40412 | + | 3.07460i | 0.0514777 | + | 0.112720i | ||||
\(745\) | 5.02043 | + | 5.79389i | 0.183934 | + | 0.212272i | ||||
\(746\) | −0.146517 | − | 0.0941607i | −0.00536437 | − | 0.00344747i | ||||
\(747\) | 1.41773 | − | 9.86052i | 0.0518720 | − | 0.360778i | ||||
\(748\) | 0.201784 | − | 1.40344i | 0.00737796 | − | 0.0513148i | ||||
\(749\) | 11.8478 | + | 7.61412i | 0.432909 | + | 0.278214i | ||||
\(750\) | −2.82246 | − | 3.25730i | −0.103062 | − | 0.118940i | ||||
\(751\) | −1.46915 | − | 3.21700i | −0.0536102 | − | 0.117390i | 0.880931 | − | 0.473244i | \(-0.156917\pi\) |
−0.934541 | + | 0.355854i | \(0.884190\pi\) | |||||||
\(752\) | −5.58624 | + | 3.59006i | −0.203709 | + | 0.130916i | ||||
\(753\) | 7.51404 | + | 2.20632i | 0.273827 | + | 0.0804028i | ||||
\(754\) | −0.258084 | + | 0.297844i | −0.00939885 | + | 0.0108469i | ||||
\(755\) | −6.20118 | + | 1.82083i | −0.225684 | + | 0.0662668i | ||||
\(756\) | −0.735560 | + | 1.61065i | −0.0267521 | + | 0.0585788i | ||||
\(757\) | 1.14142 | + | 7.93872i | 0.0414854 | + | 0.288538i | 0.999994 | + | 0.00347374i | \(0.00110573\pi\) |
−0.958509 | + | 0.285064i | \(0.907985\pi\) | |||||||
\(758\) | −8.14929 | −0.295995 | ||||||||
\(759\) | −1.30147 | + | 1.34821i | −0.0472405 | + | 0.0489370i | ||||
\(760\) | −2.79203 | −0.101278 | ||||||||
\(761\) | 4.49024 | + | 31.2303i | 0.162771 | + | 1.13210i | 0.893380 | + | 0.449302i | \(0.148327\pi\) |
−0.730609 | + | 0.682796i | \(0.760764\pi\) | |||||||
\(762\) | 2.27464 | − | 4.98076i | 0.0824015 | − | 0.180434i | ||||
\(763\) | 0.630919 | − | 0.185255i | 0.0228408 | − | 0.00670667i | ||||
\(764\) | 6.36914 | − | 7.35038i | 0.230428 | − | 0.265928i | ||||
\(765\) | 1.96635 | + | 0.577371i | 0.0710934 | + | 0.0208749i | ||||
\(766\) | 13.0821 | − | 8.40738i | 0.472677 | − | 0.303771i | ||||
\(767\) | −0.455614 | − | 0.997655i | −0.0164513 | − | 0.0360232i | ||||
\(768\) | −0.420855 | − | 0.485693i | −0.0151863 | − | 0.0175259i | ||||
\(769\) | −21.8610 | − | 14.0492i | −0.788328 | − | 0.506628i | 0.0834600 | − | 0.996511i | \(-0.473403\pi\) |
−0.871788 | + | 0.489884i | \(0.837039\pi\) | |||||||
\(770\) | 0.0266299 | − | 0.185215i | 0.000959676 | − | 0.00667470i | ||||
\(771\) | −1.23865 | + | 8.61499i | −0.0446088 | + | 0.310261i | ||||
\(772\) | −29.1120 | − | 18.7092i | −1.04776 | − | 0.673357i | ||||
\(773\) | 26.2606 | + | 30.3064i | 0.944529 | + | 1.09005i | 0.995818 | + | 0.0913611i | \(0.0291218\pi\) |
−0.0512884 | + | 0.998684i | \(0.516333\pi\) | |||||||
\(774\) | 0.545258 | + | 1.19395i | 0.0195989 | + | 0.0429156i | ||||
\(775\) | 6.29876 | − | 4.04797i | 0.226258 | − | 0.145407i | ||||
\(776\) | 16.0921 | + | 4.72507i | 0.577673 | + | 0.169620i | ||||
\(777\) | 4.05099 | − | 4.67510i | 0.145329 | − | 0.167718i | ||||
\(778\) | 4.52913 | − | 1.32987i | 0.162377 | − | 0.0476782i | ||||
\(779\) | 2.71576 | − | 5.94668i | 0.0973021 | − | 0.213062i | ||||
\(780\) | −0.0634430 | − | 0.441256i | −0.00227162 | − | 0.0157995i | ||||
\(781\) | −1.96476 | −0.0703046 | ||||||||
\(782\) | −4.43829 | − | 1.56680i | −0.158713 | − | 0.0560287i | ||||
\(783\) | 3.26871 | 0.116814 | ||||||||
\(784\) | −0.380916 | − | 2.64933i | −0.0136041 | − | 0.0946189i | ||||
\(785\) | −1.42548 | + | 3.12136i | −0.0508775 | + | 0.111406i | ||||
\(786\) | −1.52103 | + | 0.446616i | −0.0542535 | + | 0.0159303i | ||||
\(787\) | −1.37399 | + | 1.58567i | −0.0489775 | + | 0.0565231i | −0.779710 | − | 0.626141i | \(-0.784633\pi\) |
0.730732 | + | 0.682664i | \(0.239179\pi\) | |||||||
\(788\) | −17.8564 | − | 5.24311i | −0.636107 | − | 0.186778i | ||||
\(789\) | 1.48564 | − | 0.954760i | 0.0528900 | − | 0.0339904i | ||||
\(790\) | −3.36920 | − | 7.37751i | −0.119871 | − | 0.262480i | ||||
\(791\) | 6.78770 | + | 7.83342i | 0.241343 | + | 0.278524i | ||||
\(792\) | −0.593560 | − | 0.381458i | −0.0210912 | − | 0.0135545i | ||||
\(793\) | 0.0963704 | − | 0.670271i | 0.00342221 | − | 0.0238020i | ||||
\(794\) | 0.701461 | − | 4.87877i | 0.0248939 | − | 0.173141i | ||||
\(795\) | 1.56241 | + | 1.00410i | 0.0554129 | + | 0.0356117i | ||||
\(796\) | −20.0833 | − | 23.1774i | −0.711835 | − | 0.821502i | ||||
\(797\) | 7.11074 | + | 15.5703i | 0.251875 | + | 0.551530i | 0.992762 | − | 0.120100i | \(-0.0383216\pi\) |
−0.740886 | + | 0.671630i | \(0.765594\pi\) | |||||||
\(798\) | −0.622916 | + | 0.400324i | −0.0220510 | + | 0.0141713i | ||||
\(799\) | 4.87835 | + | 1.43241i | 0.172584 | + | 0.0506752i | ||||
\(800\) | 12.8176 | − | 14.7923i | 0.453172 | − | 0.522988i | ||||
\(801\) | −1.00205 | + | 0.294229i | −0.0354058 | + | 0.0103961i | ||||
\(802\) | 3.70688 | − | 8.11695i | 0.130895 | − | 0.286619i | ||||
\(803\) | −0.268029 | − | 1.86418i | −0.00945854 | − | 0.0657856i | ||||
\(804\) | 1.43318 | 0.0505444 | ||||||||
\(805\) | 4.52231 | + | 1.59646i | 0.159391 | + | 0.0562679i | ||||
\(806\) | −0.225685 | −0.00794943 | ||||||||
\(807\) | 0.756124 | + | 5.25896i | 0.0266168 | + | 0.185124i | ||||
\(808\) | −6.71431 | + | 14.7023i | −0.236209 | + | 0.517225i | ||||
\(809\) | −18.0760 | + | 5.30760i | −0.635519 | + | 0.186605i | −0.583594 | − | 0.812046i | \(-0.698354\pi\) |
−0.0519251 | + | 0.998651i | \(0.516536\pi\) | |||||||
\(810\) | 0.313607 | − | 0.361922i | 0.0110190 | − | 0.0127166i | ||||
\(811\) | 24.5435 | + | 7.20663i | 0.861840 | + | 0.253059i | 0.682641 | − | 0.730754i | \(-0.260831\pi\) |
0.179199 | + | 0.983813i | \(0.442649\pi\) | |||||||
\(812\) | −4.86900 | + | 3.12911i | −0.170868 | + | 0.109810i | ||||
\(813\) | −9.84211 | − | 21.5512i | −0.345178 | − | 0.755834i | ||||
\(814\) | 0.758022 | + | 0.874804i | 0.0265686 | + | 0.0306619i | ||||
\(815\) | 8.81845 | + | 5.66727i | 0.308897 | + | 0.198516i | ||||
\(816\) | −0.780634 | + | 5.42943i | −0.0273277 | + | 0.190068i | ||||
\(817\) | 0.603114 | − | 4.19475i | 0.0211003 | − | 0.146756i | ||||
\(818\) | 2.52438 | + | 1.62232i | 0.0882629 | + | 0.0567231i | ||||
\(819\) | −0.164872 | − | 0.190272i | −0.00576109 | − | 0.00664865i | ||||
\(820\) | −3.11000 | − | 6.80996i | −0.108606 | − | 0.237814i | ||||
\(821\) | 25.5602 | − | 16.4266i | 0.892058 | − | 0.573291i | −0.0123670 | − | 0.999924i | \(-0.503937\pi\) |
0.904425 | + | 0.426633i | \(0.140300\pi\) | |||||||
\(822\) | 4.37273 | + | 1.28395i | 0.152517 | + | 0.0447829i | ||||
\(823\) | 3.17698 | − | 3.66643i | 0.110743 | − | 0.127804i | −0.697672 | − | 0.716417i | \(-0.745781\pi\) |
0.808414 | + | 0.588614i | \(0.200326\pi\) | |||||||
\(824\) | 0.395661 | − | 0.116177i | 0.0137835 | − | 0.00404720i | ||||
\(825\) | −0.649270 | + | 1.42170i | −0.0226047 | + | 0.0494973i | ||||
\(826\) | 0.296896 | + | 2.06496i | 0.0103303 | + | 0.0718490i | ||||
\(827\) | −38.9096 | −1.35302 | −0.676510 | − | 0.736433i | \(-0.736508\pi\) | ||||
−0.676510 | + | 0.736433i | \(0.736508\pi\) | |||||||
\(828\) | 5.89778 | − | 6.10958i | 0.204962 | − | 0.212322i | ||||
\(829\) | 24.6851 | 0.857350 | 0.428675 | − | 0.903459i | \(-0.358981\pi\) | ||||
0.428675 | + | 0.903459i | \(0.358981\pi\) | |||||||
\(830\) | −0.678938 | − | 4.72212i | −0.0235663 | − | 0.163907i | ||||
\(831\) | −12.5183 | + | 27.4112i | −0.434255 | + | 0.950885i | ||||
\(832\) | 0.727073 | − | 0.213488i | 0.0252067 | − | 0.00740136i | ||||
\(833\) | −1.34204 | + | 1.54880i | −0.0464991 | + | 0.0536628i | ||||
\(834\) | 2.77865 | + | 0.815885i | 0.0962168 | + | 0.0282518i | ||||
\(835\) | 12.8776 | − | 8.27590i | 0.445646 | − | 0.286399i | ||||
\(836\) | 0.444393 | + | 0.973084i | 0.0153696 | + | 0.0336548i | ||||
\(837\) | 1.22579 | + | 1.41464i | 0.0423696 | + | 0.0488972i | ||||
\(838\) | 7.59358 | + | 4.88010i | 0.262316 | + | 0.168580i | ||||
\(839\) | −1.14897 | + | 7.99129i | −0.0396670 | + | 0.275890i | −0.999996 | − | 0.00298102i | \(-0.999051\pi\) |
0.960329 | + | 0.278871i | \(0.0899602\pi\) | |||||||
\(840\) | −0.256983 | + | 1.78736i | −0.00886677 | + | 0.0616697i | ||||
\(841\) | −15.4080 | − | 9.90212i | −0.531310 | − | 0.341452i | ||||
\(842\) | −10.1408 | − | 11.7031i | −0.349475 | − | 0.403316i | ||||
\(843\) | −5.37613 | − | 11.7721i | −0.185164 | − | 0.405452i | ||||
\(844\) | 8.23317 | − | 5.29114i | 0.283398 | − | 0.182129i | ||||
\(845\) | −12.4126 | − | 3.64467i | −0.427006 | − | 0.125380i | ||||
\(846\) | 0.778036 | − | 0.897901i | 0.0267494 | − | 0.0308705i | ||||
\(847\) | 10.4079 | − | 3.05604i | 0.357621 | − | 0.105007i | ||||
\(848\) | −2.06504 | + | 4.52181i | −0.0709138 | + | 0.155280i | ||||
\(849\) | −1.28663 | − | 8.94873i | −0.0441572 | − | 0.307120i | ||||
\(850\) | −3.92568 | −0.134650 | ||||||||
\(851\) | −25.7835 | + | 14.6750i | −0.883846 | + | 0.503052i | ||||
\(852\) | 8.90354 | 0.305030 | ||||||||
\(853\) | 2.85897 | + | 19.8846i | 0.0978893 | + | 0.680835i | 0.978387 | + | 0.206784i | \(0.0662997\pi\) |
−0.880497 | + | 0.474051i | \(0.842791\pi\) | |||||||
\(854\) | −0.535075 | + | 1.17165i | −0.0183099 | + | 0.0400931i | ||||
\(855\) | −1.48357 | + | 0.435615i | −0.0507370 | + | 0.0148977i | ||||
\(856\) | 16.6538 | − | 19.2196i | 0.569217 | − | 0.656911i | ||||
\(857\) | −39.3762 | − | 11.5619i | −1.34506 | − | 0.394947i | −0.471591 | − | 0.881818i | \(-0.656320\pi\) |
−0.873474 | + | 0.486871i | \(0.838138\pi\) | |||||||
\(858\) | 0.0396319 | − | 0.0254699i | 0.00135301 | − | 0.000869527i | ||||
\(859\) | 7.94816 | + | 17.4040i | 0.271188 | + | 0.593818i | 0.995405 | − | 0.0957535i | \(-0.0305260\pi\) |
−0.724217 | + | 0.689572i | \(0.757799\pi\) | |||||||
\(860\) | −3.17810 | − | 3.66773i | −0.108372 | − | 0.125068i | ||||
\(861\) | −3.55689 | − | 2.28587i | −0.121218 | − | 0.0779023i | ||||
\(862\) | 1.76978 | − | 12.3091i | 0.0602790 | − | 0.419250i | ||||
\(863\) | 2.53986 | − | 17.6651i | 0.0864579 | − | 0.601328i | −0.899823 | − | 0.436254i | \(-0.856305\pi\) |
0.986281 | − | 0.165073i | \(-0.0527861\pi\) | |||||||
\(864\) | 4.11648 | + | 2.64550i | 0.140045 | + | 0.0900017i | ||||
\(865\) | −15.1063 | − | 17.4336i | −0.513631 | − | 0.592761i | ||||
\(866\) | 6.00130 | + | 13.1410i | 0.203933 | + | 0.446550i | ||||
\(867\) | −10.7682 | + | 6.92027i | −0.365706 | + | 0.235025i | ||||
\(868\) | −3.18014 | − | 0.933773i | −0.107941 | − | 0.0316943i | ||||
\(869\) | −4.33350 | + | 5.00113i | −0.147004 | + | 0.169652i | ||||
\(870\) | 1.50195 | − | 0.441012i | 0.0509209 | − | 0.0149517i | ||||
\(871\) | −0.0846536 | + | 0.185366i | −0.00286838 | + | 0.00628087i | ||||
\(872\) | −0.168981 | − | 1.17529i | −0.00572241 | − | 0.0398002i | ||||
\(873\) | 9.28787 | 0.314347 | ||||||||
\(874\) | 3.45612 | − | 0.815927i | 0.116905 | − | 0.0275992i | ||||
\(875\) | 9.00000 | 0.304256 | ||||||||
\(876\) | 1.21461 | + | 8.44776i | 0.0410377 | + | 0.285424i | ||||
\(877\) | 1.72247 | − | 3.77168i | 0.0581637 | − | 0.127361i | −0.878318 | − | 0.478076i | \(-0.841334\pi\) |
0.936482 | + | 0.350715i | \(0.114062\pi\) | |||||||
\(878\) | 13.8379 | − | 4.06317i | 0.467006 | − | 0.137125i | ||||
\(879\) | 8.90846 | − | 10.2809i | 0.300475 | − | 0.346766i | ||||
\(880\) | 1.00347 | + | 0.294645i | 0.0338269 | + | 0.00993248i | ||||
\(881\) | 8.60780 | − | 5.53189i | 0.290004 | − | 0.186374i | −0.387547 | − | 0.921850i | \(-0.626678\pi\) |
0.677551 | + | 0.735476i | \(0.263041\pi\) | |||||||
\(882\) | 0.198939 | + | 0.435615i | 0.00669861 | + | 0.0146679i | ||||
\(883\) | 5.21120 | + | 6.01404i | 0.175371 | + | 0.202389i | 0.836629 | − | 0.547769i | \(-0.184523\pi\) |
−0.661259 | + | 0.750158i | \(0.729977\pi\) | |||||||
\(884\) | −0.768562 | − | 0.493925i | −0.0258495 | − | 0.0166125i | ||||
\(885\) | −0.619965 | + | 4.31195i | −0.0208399 | + | 0.144945i | ||||
\(886\) | −1.96581 | + | 13.6725i | −0.0660427 | + | 0.459337i | ||||
\(887\) | 18.2719 | + | 11.7426i | 0.613509 | + | 0.394278i | 0.810171 | − | 0.586193i | \(-0.199374\pi\) |
−0.196663 | + | 0.980471i | \(0.563010\pi\) | |||||||
\(888\) | −7.31504 | − | 8.44200i | −0.245477 | − | 0.283295i | ||||
\(889\) | 4.74980 | + | 10.4006i | 0.159303 | + | 0.348825i | ||||
\(890\) | −0.420739 | + | 0.270393i | −0.0141032 | + | 0.00906358i | ||||
\(891\) | −0.374908 | − | 0.110083i | −0.0125599 | − | 0.00368792i | ||||
\(892\) | −27.7373 | + | 32.0105i | −0.928713 | + | 1.07179i | ||||
\(893\) | −3.68062 | + | 1.08073i | −0.123167 | + | 0.0361652i | ||||
\(894\) | 1.52515 | − | 3.33960i | 0.0510085 | − | 0.111693i | ||||
\(895\) | −0.205513 | − | 1.42937i | −0.00686954 | − | 0.0477787i | ||||
\(896\) | −11.2279 | −0.375098 | ||||||||
\(897\) | 0.441840 | + | 1.12368i | 0.0147526 | + | 0.0375187i | ||||
\(898\) | −17.0674 | −0.569548 | ||||||||
\(899\) | 0.870754 | + | 6.05623i | 0.0290413 | + | 0.201986i | ||||
\(900\) | 2.94224 | − | 6.44261i | 0.0980747 | − | 0.214754i | ||||
\(901\) | 3.65197 | − | 1.07231i | 0.121665 | − | 0.0357240i | ||||
\(902\) | 0.518098 | − | 0.597917i | 0.0172508 | − | 0.0199085i | ||||
\(903\) | −2.62981 | − | 0.772183i | −0.0875147 | − | 0.0256966i | ||||
\(904\) | 15.7455 | − | 10.1190i | 0.523686 | − | 0.336553i | ||||
\(905\) | −0.152267 | − | 0.333417i | −0.00506151 | − | 0.0110832i | ||||
\(906\) | 2.02684 | + | 2.33909i | 0.0673371 | + | 0.0777111i | ||||
\(907\) | 25.6288 | + | 16.4706i | 0.850990 | + | 0.546898i | 0.891883 | − | 0.452265i | \(-0.149384\pi\) |
−0.0408934 | + | 0.999164i | \(0.513020\pi\) | |||||||
\(908\) | 4.97970 | − | 34.6346i | 0.165257 | − | 1.14939i | ||||
\(909\) | −1.27384 | + | 8.85975i | −0.0422506 | + | 0.293859i | ||||
\(910\) | −0.101429 | − | 0.0651844i | −0.00336234 | − | 0.00216084i | ||||
\(911\) | 18.6477 | + | 21.5205i | 0.617825 | + | 0.713008i | 0.975292 | − | 0.220918i | \(-0.0709053\pi\) |
−0.357468 | + | 0.933925i | \(0.616360\pi\) | |||||||
\(912\) | −1.71920 | − | 3.76453i | −0.0569285 | − | 0.124656i | ||||
\(913\) | −3.27456 | + | 2.10443i | −0.108372 | + | 0.0696465i | ||||
\(914\) | 0.972279 | + | 0.285487i | 0.0321601 | + | 0.00944307i | ||||
\(915\) | −1.76135 | + | 2.03270i | −0.0582283 | + | 0.0671990i | ||||
\(916\) | −21.3187 | + | 6.25973i | −0.704389 | + | 0.206827i | ||||
\(917\) | 1.37513 | − | 3.01110i | 0.0454106 | − | 0.0994354i | ||||
\(918\) | −0.139671 | − | 0.971431i | −0.00460982 | − | 0.0320620i | ||||
\(919\) | 3.90809 | 0.128916 | 0.0644579 | − | 0.997920i | \(-0.479468\pi\) | ||||
0.0644579 | + | 0.997920i | \(0.479468\pi\) | |||||||
\(920\) | 4.01561 | − | 7.67273i | 0.132391 | − | 0.252962i | ||||
\(921\) | −19.4921 | −0.642287 | ||||||||
\(922\) | −1.64483 | − | 11.4401i | −0.0541697 | − | 0.376758i | ||||
\(923\) | −0.525904 | + | 1.15157i | −0.0173103 | + | 0.0379044i | ||||
\(924\) | 0.663836 | − | 0.194920i | 0.0218386 | − | 0.00641239i | ||||
\(925\) | −16.2040 | + | 18.7004i | −0.532784 | + | 0.614865i | ||||
\(926\) | 3.06301 | + | 0.899382i | 0.100657 | + | 0.0295555i | ||||
\(927\) | 0.192112 | − | 0.123463i | 0.00630977 | − | 0.00405505i | ||||
\(928\) | 6.64443 | + | 14.5493i | 0.218114 | + | 0.477603i | ||||
\(929\) | −24.8422 | − | 28.6694i | −0.815046 | − | 0.940614i | 0.184059 | − | 0.982915i | \(-0.441076\pi\) |
−0.999105 | + | 0.0423016i | \(0.986531\pi\) | |||||||
\(930\) | 0.754106 | + | 0.484635i | 0.0247281 | + | 0.0158918i | ||||
\(931\) | 0.220047 | − | 1.53046i | 0.00721176 | − | 0.0501589i | ||||
\(932\) | −0.732292 | + | 5.09320i | −0.0239870 | + | 0.166833i | ||||
\(933\) | 1.72457 | + | 1.10832i | 0.0564600 | + | 0.0362846i | ||||
\(934\) | 8.56703 | + | 9.88688i | 0.280322 | + | 0.323508i | ||||
\(935\) | −0.332647 | − | 0.728395i | −0.0108787 | − | 0.0238210i | ||||
\(936\) | −0.382454 | + | 0.245788i | −0.0125009 | + | 0.00803385i | ||||
\(937\) | −2.96857 | − | 0.871652i | −0.0969790 | − | 0.0284756i | 0.232883 | − | 0.972505i | \(-0.425184\pi\) |
−0.329862 | + | 0.944029i | \(0.607002\pi\) | |||||||
\(938\) | 0.253835 | − | 0.292941i | 0.00828801 | − | 0.00956487i | ||||
\(939\) | −14.8575 | + | 4.36257i | −0.484858 | + | 0.142367i | ||||
\(940\) | −1.82487 | + | 3.99590i | −0.0595207 | + | 0.130332i | ||||
\(941\) | 8.23500 | + | 57.2757i | 0.268453 | + | 1.86713i | 0.463164 | + | 0.886272i | \(0.346714\pi\) |
−0.194711 | + | 0.980861i | \(0.562377\pi\) | |||||||
\(942\) | 1.64330 | 0.0535415 | ||||||||
\(943\) | 12.4360 | + | 16.0159i | 0.404973 | + | 0.521548i | ||||
\(944\) | −11.6599 | −0.379498 | ||||||||
\(945\) | 0.142315 | + | 0.989821i | 0.00462950 | + | 0.0321989i | ||||
\(946\) | 0.213052 | − | 0.466518i | 0.00692691 | − | 0.0151678i | ||||
\(947\) | −19.7207 | + | 5.79051i | −0.640836 | + | 0.188166i | −0.585977 | − | 0.810328i | \(-0.699289\pi\) |
−0.0548590 | + | 0.998494i | \(0.517471\pi\) | |||||||
\(948\) | 19.6378 | − | 22.6632i | 0.637805 | − | 0.736066i | ||||
\(949\) | −1.16436 | − | 0.341888i | −0.0377968 | − | 0.0110982i | ||||
\(950\) | 2.49167 | − | 1.60130i | 0.0808403 | − | 0.0519529i | ||||
\(951\) | −5.66138 | − | 12.3967i | −0.183583 | − | 0.401990i | ||||
\(952\) | 2.42338 | + | 2.79673i | 0.0785422 | + | 0.0906426i | ||||
\(953\) | −3.38496 | − | 2.17538i | −0.109649 | − | 0.0704674i | 0.484667 | − | 0.874699i | \(-0.338941\pi\) |
−0.594316 | + | 0.804231i | \(0.702577\pi\) | |||||||
\(954\) | 0.126577 | − | 0.880362i | 0.00409808 | − | 0.0285028i | ||||
\(955\) | 0.781711 | − | 5.43692i | 0.0252956 | − | 0.175935i | ||||
\(956\) | 3.44376 | + | 2.21317i | 0.111379 | + | 0.0715790i | ||||
\(957\) | −0.836390 | − | 0.965245i | −0.0270366 | − | 0.0312019i | ||||
\(958\) | 4.44429 | + | 9.73165i | 0.143589 | + | 0.314415i | ||||
\(959\) | −8.00573 | + | 5.14497i | −0.258518 | + | 0.166140i | ||||
\(960\) | −2.88789 | − | 0.847960i | −0.0932061 | − | 0.0273678i | ||||
\(961\) | 18.0062 | − | 20.7803i | 0.580845 | − | 0.670331i | ||||
\(962\) | 0.715631 | − | 0.210128i | 0.0230729 | − | 0.00677481i | ||||
\(963\) | 5.85050 | − | 12.8108i | 0.188530 | − | 0.412823i | ||||
\(964\) | −4.23023 | − | 29.4219i | −0.136246 | − | 0.947615i | ||||
\(965\) | −19.5438 | −0.629138 | ||||||||
\(966\) | −0.204220 | − | 2.28759i | −0.00657066 | − | 0.0736018i | ||||
\(967\) | −19.6523 | −0.631976 | −0.315988 | − | 0.948763i | \(-0.602336\pi\) | ||||
−0.315988 | + | 0.948763i | \(0.602336\pi\) | |||||||
\(968\) | −2.78758 | − | 19.3881i | −0.0895963 | − | 0.623156i | ||||
\(969\) | −1.31633 | + | 2.88237i | −0.0422867 | + | 0.0925950i | ||||
\(970\) | 4.26771 | − | 1.25311i | 0.137028 | − | 0.0402350i | ||||
\(971\) | −17.8654 | + | 20.6178i | −0.573327 | + | 0.661655i | −0.966157 | − | 0.257956i | \(-0.916951\pi\) |
0.392829 | + | 0.919611i | \(0.371496\pi\) | |||||||
\(972\) | 1.69894 | + | 0.498853i | 0.0544935 | + | 0.0160007i | ||||
\(973\) | −5.08724 | + | 3.26937i | −0.163089 | + | 0.104811i | ||||
\(974\) | 5.88559 | + | 12.8876i | 0.188587 | + | 0.412947i | ||||
\(975\) | 0.659488 | + | 0.761089i | 0.0211205 | + | 0.0243744i | ||||
\(976\) | −6.05622 | − | 3.89210i | −0.193855 | − | 0.124583i | ||||
\(977\) | −3.42780 | + | 23.8409i | −0.109665 | + | 0.762738i | 0.858570 | + | 0.512696i | \(0.171353\pi\) |
−0.968235 | + | 0.250042i | \(0.919556\pi\) | |||||||
\(978\) | 0.714418 | − | 4.96889i | 0.0228446 | − | 0.158887i | ||||
\(979\) | 0.343288 | + | 0.220618i | 0.0109715 | + | 0.00705097i | ||||
\(980\) | −1.15954 | − | 1.33818i | −0.0370401 | − | 0.0427465i | ||||
\(981\) | −0.273158 | − | 0.598133i | −0.00872127 | − | 0.0190969i | ||||
\(982\) | 0.509725 | − | 0.327580i | 0.0162660 | − | 0.0104535i | ||||
\(983\) | −44.9354 | − | 13.1942i | −1.43322 | − | 0.420831i | −0.529263 | − | 0.848458i | \(-0.677531\pi\) |
−0.903955 | + | 0.427627i | \(0.859350\pi\) | |||||||
\(984\) | −4.99973 | + | 5.77000i | −0.159386 | + | 0.183941i | ||||
\(985\) | −10.0846 | + | 2.96110i | −0.321321 | + | 0.0943484i | ||||
\(986\) | 1.33264 | − | 2.91808i | 0.0424400 | − | 0.0929307i | ||||
\(987\) | 0.353072 | + | 2.45567i | 0.0112384 | + | 0.0781649i | ||||
\(988\) | 0.689286 | 0.0219291 | ||||||||
\(989\) | 10.6601 | + | 7.69045i | 0.338971 | + | 0.244542i | ||||
\(990\) | −0.187120 | −0.00594706 | ||||||||
\(991\) | 6.84005 | + | 47.5736i | 0.217281 | + | 1.51123i | 0.748012 | + | 0.663685i | \(0.231008\pi\) |
−0.530731 | + | 0.847541i | \(0.678082\pi\) | |||||||
\(992\) | −3.80495 | + | 8.33169i | −0.120807 | + | 0.264531i | ||||
\(993\) | −2.25888 | + | 0.663266i | −0.0716833 | + | 0.0210481i | ||||
\(994\) | 1.57693 | − | 1.81988i | 0.0500172 | − | 0.0577229i | ||||
\(995\) | −16.6185 | − | 4.87965i | −0.526843 | − | 0.154695i | ||||
\(996\) | 14.8390 | − | 9.53647i | 0.470193 | − | 0.302175i | ||||
\(997\) | −16.0829 | − | 35.2165i | −0.509349 | − | 1.11532i | −0.973317 | − | 0.229467i | \(-0.926302\pi\) |
0.463968 | − | 0.885852i | \(-0.346425\pi\) | |||||||
\(998\) | −4.63374 | − | 5.34762i | −0.146678 | − | 0.169276i | ||||
\(999\) | −5.20403 | − | 3.34443i | −0.164648 | − | 0.105813i |
(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 | 483.2.q.a.463.1 | yes | 10 | |
23.8 | even | 11 | inner | 483.2.q.a.169.1 | ✓ | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.a.169.1 | ✓ | 10 | 23.8 | even | 11 | inner | |
483.2.q.a.463.1 | yes | 10 | 1.1 | even | 1 | trivial |