Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(10,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.y (of order \(30\), degree \(8\), 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: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(432\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 10.17 | ||
Character | \(\chi\) | \(=\) | 287.10 |
Dual form | 287.3.y.a.201.17 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.182448 | + | 1.73588i | −0.0912242 | + | 0.867940i | 0.849231 | + | 0.528022i | \(0.177066\pi\) |
−0.940455 | + | 0.339918i | \(0.889601\pi\) | |||||||
\(3\) | −4.79904 | − | 2.77073i | −1.59968 | − | 0.923575i | −0.991548 | − | 0.129738i | \(-0.958586\pi\) |
−0.608131 | − | 0.793837i | \(-0.708080\pi\) | |||||||
\(4\) | 0.932598 | + | 0.198230i | 0.233149 | + | 0.0495574i | ||||
\(5\) | −1.81832 | − | 1.63723i | −0.363665 | − | 0.327445i | 0.466959 | − | 0.884279i | \(-0.345349\pi\) |
−0.830624 | + | 0.556834i | \(0.812016\pi\) | |||||||
\(6\) | 5.68522 | − | 7.82504i | 0.947537 | − | 1.30417i | ||||
\(7\) | −1.44156 | + | 6.84996i | −0.205937 | + | 0.978565i | ||||
\(8\) | −2.67174 | + | 8.22277i | −0.333967 | + | 1.02785i | ||||
\(9\) | 10.8538 | + | 18.7994i | 1.20598 | + | 2.08882i | ||||
\(10\) | 3.17378 | − | 2.85768i | 0.317378 | − | 0.285768i | ||||
\(11\) | −8.44650 | − | 9.38078i | −0.767863 | − | 0.852799i | 0.224713 | − | 0.974425i | \(-0.427856\pi\) |
−0.992576 | + | 0.121626i | \(0.961189\pi\) | |||||||
\(12\) | −3.92633 | − | 3.53528i | −0.327194 | − | 0.294607i | ||||
\(13\) | 1.28784 | − | 1.77256i | 0.0990646 | − | 0.136351i | −0.756607 | − | 0.653870i | \(-0.773144\pi\) |
0.855672 | + | 0.517519i | \(0.173144\pi\) | |||||||
\(14\) | −11.6277 | − | 3.75214i | −0.830549 | − | 0.268010i | ||||
\(15\) | 4.18990 | + | 12.8952i | 0.279327 | + | 0.859679i | ||||
\(16\) | −10.3023 | − | 4.58687i | −0.643892 | − | 0.286679i | ||||
\(17\) | 23.3855 | − | 21.0564i | 1.37562 | − | 1.23861i | 0.434441 | − | 0.900700i | \(-0.356946\pi\) |
0.941177 | − | 0.337913i | \(-0.109721\pi\) | |||||||
\(18\) | −34.6138 | + | 15.4110i | −1.92299 | + | 0.856169i | ||||
\(19\) | 3.29536 | − | 7.40149i | 0.173440 | − | 0.389552i | −0.805820 | − | 0.592161i | \(-0.798275\pi\) |
0.979260 | + | 0.202608i | \(0.0649418\pi\) | |||||||
\(20\) | −1.37122 | − | 1.88732i | −0.0685609 | − | 0.0943660i | ||||
\(21\) | 25.8975 | − | 28.8790i | 1.23321 | − | 1.37519i | ||||
\(22\) | 17.8250 | − | 12.9506i | 0.810226 | − | 0.588664i | ||||
\(23\) | −1.77221 | + | 16.8614i | −0.0770525 | + | 0.733105i | 0.885981 | + | 0.463722i | \(0.153486\pi\) |
−0.963033 | + | 0.269383i | \(0.913180\pi\) | |||||||
\(24\) | 35.6048 | − | 32.0587i | 1.48353 | − | 1.33578i | ||||
\(25\) | −1.98742 | − | 18.9090i | −0.0794968 | − | 0.756361i | ||||
\(26\) | 2.84199 | + | 2.55894i | 0.109307 | + | 0.0984206i | ||||
\(27\) | − | 70.4189i | − | 2.60811i | ||||||
\(28\) | −2.70226 | + | 6.10249i | −0.0965094 | + | 0.217946i | ||||
\(29\) | −13.7697 | − | 42.3787i | −0.474816 | − | 1.46133i | −0.846206 | − | 0.532856i | \(-0.821119\pi\) |
0.371390 | − | 0.928477i | \(-0.378881\pi\) | |||||||
\(30\) | −23.1489 | + | 4.92046i | −0.771631 | + | 0.164015i | ||||
\(31\) | 10.0181 | − | 9.02033i | 0.323164 | − | 0.290978i | −0.491540 | − | 0.870855i | \(-0.663566\pi\) |
0.814704 | + | 0.579877i | \(0.196899\pi\) | |||||||
\(32\) | −7.44998 | + | 12.9037i | −0.232812 | + | 0.403242i | ||||
\(33\) | 14.5435 | + | 68.4217i | 0.440711 | + | 2.07338i | ||||
\(34\) | 32.2848 | + | 44.4362i | 0.949552 | + | 1.30695i | ||||
\(35\) | 13.8362 | − | 10.0953i | 0.395319 | − | 0.288437i | ||||
\(36\) | 6.39566 | + | 19.6838i | 0.177657 | + | 0.546773i | ||||
\(37\) | 29.6040 | − | 32.8786i | 0.800109 | − | 0.888611i | −0.195644 | − | 0.980675i | \(-0.562680\pi\) |
0.995753 | + | 0.0920637i | \(0.0293463\pi\) | |||||||
\(38\) | 12.2469 | + | 7.07074i | 0.322286 | + | 0.186072i | ||||
\(39\) | −11.0917 | + | 4.93833i | −0.284402 | + | 0.126624i | ||||
\(40\) | 18.3206 | − | 10.5774i | 0.458016 | − | 0.264435i | ||||
\(41\) | 40.9437 | + | 2.14845i | 0.998626 | + | 0.0524011i | ||||
\(42\) | 45.4056 | + | 50.2238i | 1.08109 | + | 1.19581i | ||||
\(43\) | 61.0025 | + | 44.3209i | 1.41866 | + | 1.03072i | 0.991991 | + | 0.126312i | \(0.0403140\pi\) |
0.426672 | + | 0.904407i | \(0.359686\pi\) | |||||||
\(44\) | −6.01763 | − | 10.4228i | −0.136764 | − | 0.236883i | ||||
\(45\) | 11.0431 | − | 51.9536i | 0.245402 | − | 1.15452i | ||||
\(46\) | −28.9461 | − | 6.15268i | −0.629262 | − | 0.133754i | ||||
\(47\) | −51.3928 | − | 5.40160i | −1.09346 | − | 0.114928i | −0.459416 | − | 0.888221i | \(-0.651941\pi\) |
−0.634048 | + | 0.773293i | \(0.718608\pi\) | |||||||
\(48\) | 36.7320 | + | 50.5573i | 0.765250 | + | 1.05328i | ||||
\(49\) | −44.8438 | − | 19.7493i | −0.915180 | − | 0.403046i | ||||
\(50\) | 33.1864 | 0.663728 | ||||||||
\(51\) | −170.570 | + | 36.2557i | −3.34450 | + | 0.710896i | ||||
\(52\) | 1.55241 | − | 1.39780i | 0.0298540 | − | 0.0268807i | ||||
\(53\) | 8.48994 | + | 1.80459i | 0.160188 | + | 0.0340489i | 0.287307 | − | 0.957838i | \(-0.407240\pi\) |
−0.127120 | + | 0.991887i | \(0.540573\pi\) | |||||||
\(54\) | 122.239 | + | 12.8478i | 2.26368 | + | 0.237923i | ||||
\(55\) | 30.8861i | 0.561566i | ||||||||
\(56\) | −52.4741 | − | 30.1549i | −0.937038 | − | 0.538481i | ||||
\(57\) | −36.3221 | + | 26.3895i | −0.637229 | + | 0.462974i | ||||
\(58\) | 76.0765 | − | 16.1706i | 1.31166 | − | 0.278803i | ||||
\(59\) | −26.0155 | − | 58.4318i | −0.440941 | − | 0.990370i | −0.988167 | − | 0.153385i | \(-0.950983\pi\) |
0.547226 | − | 0.836985i | \(-0.315684\pi\) | |||||||
\(60\) | 1.35128 | + | 12.8566i | 0.0225214 | + | 0.214276i | ||||
\(61\) | 2.97531 | − | 6.68265i | 0.0487755 | − | 0.109552i | −0.887514 | − | 0.460781i | \(-0.847569\pi\) |
0.936290 | + | 0.351229i | \(0.114236\pi\) | |||||||
\(62\) | 13.8304 | + | 19.0359i | 0.223071 | + | 0.307031i | ||||
\(63\) | −144.422 | + | 47.2478i | −2.29241 | + | 0.749965i | ||||
\(64\) | −57.5340 | − | 41.8009i | −0.898969 | − | 0.653139i | ||||
\(65\) | −5.24379 | + | 1.11460i | −0.0806737 | + | 0.0171477i | ||||
\(66\) | −121.425 | + | 12.7623i | −1.83978 | + | 0.193368i | ||||
\(67\) | 58.4822 | + | 12.4308i | 0.872869 | + | 0.185534i | 0.622503 | − | 0.782617i | \(-0.286116\pi\) |
0.250366 | + | 0.968151i | \(0.419449\pi\) | |||||||
\(68\) | 25.9833 | − | 15.0015i | 0.382107 | − | 0.220610i | ||||
\(69\) | 55.2233 | − | 76.0083i | 0.800337 | − | 1.10157i | ||||
\(70\) | 14.9998 | + | 25.8598i | 0.214283 | + | 0.369425i | ||||
\(71\) | 32.0396 | − | 98.6076i | 0.451261 | − | 1.38884i | −0.424208 | − | 0.905565i | \(-0.639447\pi\) |
0.875469 | − | 0.483274i | \(-0.160553\pi\) | |||||||
\(72\) | −183.582 | + | 39.0215i | −2.54975 | + | 0.541965i | ||||
\(73\) | −28.6575 | − | 16.5454i | −0.392569 | − | 0.226650i | 0.290704 | − | 0.956813i | \(-0.406111\pi\) |
−0.683273 | + | 0.730163i | \(0.739444\pi\) | |||||||
\(74\) | 51.6721 | + | 57.3877i | 0.698272 | + | 0.775510i | ||||
\(75\) | −42.8540 | + | 96.2517i | −0.571387 | + | 1.28336i | ||||
\(76\) | 4.54044 | − | 6.24938i | 0.0597426 | − | 0.0822287i | ||||
\(77\) | 76.4341 | − | 44.3351i | 0.992651 | − | 0.575781i | ||||
\(78\) | −6.54869 | − | 20.1548i | −0.0839575 | − | 0.258395i | ||||
\(79\) | 56.6506 | + | 98.1217i | 0.717096 | + | 1.24205i | 0.962145 | + | 0.272537i | \(0.0878626\pi\) |
−0.245049 | + | 0.969511i | \(0.578804\pi\) | |||||||
\(80\) | 11.2231 | + | 25.2076i | 0.140289 | + | 0.315094i | ||||
\(81\) | −97.4270 | + | 168.749i | −1.20280 | + | 2.08332i | ||||
\(82\) | −11.1996 | + | 70.6813i | −0.136580 | + | 0.861967i | ||||
\(83\) | − | 13.0971i | − | 0.157796i | −0.996883 | − | 0.0788980i | \(-0.974860\pi\) | ||
0.996883 | − | 0.0788980i | \(-0.0251402\pi\) | |||||||
\(84\) | 29.8766 | − | 21.7989i | 0.355674 | − | 0.259510i | ||||
\(85\) | −76.9966 | −0.905842 | ||||||||
\(86\) | −88.0656 | + | 97.8067i | −1.02402 | + | 1.13729i | ||||
\(87\) | −51.3385 | + | 241.529i | −0.590098 | + | 2.77619i | ||||
\(88\) | 99.7028 | − | 44.3906i | 1.13299 | − | 0.504438i | ||||
\(89\) | 41.8762 | − | 94.0556i | 0.470520 | − | 1.05680i | −0.509963 | − | 0.860197i | \(-0.670341\pi\) |
0.980482 | − | 0.196608i | \(-0.0629926\pi\) | |||||||
\(90\) | 88.1704 | + | 28.6483i | 0.979671 | + | 0.318315i | ||||
\(91\) | 10.2855 | + | 11.3769i | 0.113027 | + | 0.125021i | ||||
\(92\) | −4.99519 | + | 15.3736i | −0.0542956 | + | 0.167105i | ||||
\(93\) | −73.0700 | + | 15.5315i | −0.785699 | + | 0.167006i | ||||
\(94\) | 18.7531 | − | 88.2263i | 0.199501 | − | 0.938578i | ||||
\(95\) | −18.1100 | + | 8.06307i | −0.190631 | + | 0.0848744i | ||||
\(96\) | 71.5054 | − | 41.2837i | 0.744848 | − | 0.430038i | ||||
\(97\) | −56.6477 | + | 18.4059i | −0.583997 | + | 0.189752i | −0.586090 | − | 0.810246i | \(-0.699334\pi\) |
0.00209360 | + | 0.999998i | \(0.499334\pi\) | |||||||
\(98\) | 42.4640 | − | 74.2402i | 0.433307 | − | 0.757553i | ||||
\(99\) | 84.6762 | − | 260.607i | 0.855315 | − | 2.63239i | ||||
\(100\) | 1.89487 | − | 18.0285i | 0.0189487 | − | 0.180285i | ||||
\(101\) | 55.8505 | − | 5.87012i | 0.552975 | − | 0.0581200i | 0.176080 | − | 0.984376i | \(-0.443658\pi\) |
0.376895 | + | 0.926256i | \(0.376992\pi\) | |||||||
\(102\) | −31.8154 | − | 302.703i | −0.311915 | − | 2.96768i | ||||
\(103\) | −59.1125 | + | 132.769i | −0.573908 | + | 1.28902i | 0.360482 | + | 0.932766i | \(0.382612\pi\) |
−0.934390 | + | 0.356252i | \(0.884054\pi\) | |||||||
\(104\) | 11.1346 | + | 15.3254i | 0.107063 | + | 0.147360i | ||||
\(105\) | −94.3715 | + | 10.1114i | −0.898776 | + | 0.0962993i | ||||
\(106\) | −4.68153 | + | 14.4083i | −0.0441654 | + | 0.135927i | ||||
\(107\) | −0.300830 | − | 0.133938i | −0.00281149 | − | 0.00125176i | 0.405330 | − | 0.914170i | \(-0.367156\pi\) |
−0.408142 | + | 0.912918i | \(0.633823\pi\) | |||||||
\(108\) | 13.9591 | − | 65.6726i | 0.129251 | − | 0.608079i | ||||
\(109\) | −31.6151 | + | 54.7590i | −0.290047 | + | 0.502376i | −0.973821 | − | 0.227318i | \(-0.927004\pi\) |
0.683774 | + | 0.729694i | \(0.260338\pi\) | |||||||
\(110\) | −53.6146 | − | 5.63513i | −0.487406 | − | 0.0512284i | ||||
\(111\) | −233.169 | + | 75.7610i | −2.10062 | + | 0.682532i | ||||
\(112\) | 46.2712 | − | 63.9578i | 0.413136 | − | 0.571052i | ||||
\(113\) | 26.6378 | − | 81.9826i | 0.235732 | − | 0.725510i | −0.761291 | − | 0.648410i | \(-0.775434\pi\) |
0.997023 | − | 0.0770995i | \(-0.0245659\pi\) | |||||||
\(114\) | −39.1821 | − | 67.8655i | −0.343703 | − | 0.595311i | ||||
\(115\) | 30.8284 | − | 27.7580i | 0.268073 | − | 0.241374i | ||||
\(116\) | −4.44084 | − | 42.2518i | −0.0382831 | − | 0.364240i | ||||
\(117\) | 47.3010 | + | 4.97154i | 0.404282 | + | 0.0424918i | ||||
\(118\) | 106.177 | − | 34.4990i | 0.899806 | − | 0.292365i | ||||
\(119\) | 110.524 | + | 190.544i | 0.928772 | + | 1.60121i | ||||
\(120\) | −117.228 | −0.976904 | ||||||||
\(121\) | −4.00788 | + | 38.1324i | −0.0331229 | + | 0.315144i | ||||
\(122\) | 11.0574 | + | 6.38401i | 0.0906347 | + | 0.0523280i | ||||
\(123\) | −190.537 | − | 123.754i | −1.54908 | − | 1.00613i | ||||
\(124\) | 11.1309 | − | 6.42646i | 0.0897657 | − | 0.0518263i | ||||
\(125\) | −63.2994 | + | 87.1241i | −0.506395 | + | 0.696993i | ||||
\(126\) | −55.6671 | − | 259.319i | −0.441802 | − | 2.05809i | ||||
\(127\) | 12.6434 | + | 38.9125i | 0.0995545 | + | 0.306397i | 0.988414 | − | 0.151783i | \(-0.0485014\pi\) |
−0.888859 | + | 0.458180i | \(0.848501\pi\) | |||||||
\(128\) | 43.1783 | − | 47.9543i | 0.337330 | − | 0.374643i | ||||
\(129\) | −169.952 | − | 381.719i | −1.31746 | − | 2.95906i | ||||
\(130\) | −0.978095 | − | 9.30595i | −0.00752381 | − | 0.0715842i | ||||
\(131\) | −32.5129 | − | 152.961i | −0.248190 | − | 1.16764i | −0.908904 | − | 0.417005i | \(-0.863080\pi\) |
0.660714 | − | 0.750638i | \(-0.270254\pi\) | |||||||
\(132\) | 66.6928i | 0.505249i | ||||||||
\(133\) | 45.9495 | + | 33.2428i | 0.345485 | + | 0.249946i | ||||
\(134\) | −32.2483 | + | 99.2501i | −0.240659 | + | 0.740672i | ||||
\(135\) | −115.292 | + | 128.044i | −0.854013 | + | 0.948478i | ||||
\(136\) | 110.662 | + | 248.551i | 0.813691 | + | 1.82758i | ||||
\(137\) | −125.898 | + | 218.062i | −0.918964 | + | 1.59169i | −0.117973 | + | 0.993017i | \(0.537640\pi\) |
−0.800991 | + | 0.598676i | \(0.795694\pi\) | |||||||
\(138\) | 121.866 | + | 109.729i | 0.883086 | + | 0.795134i | ||||
\(139\) | −75.8653 | − | 104.420i | −0.545794 | − | 0.751221i | 0.443640 | − | 0.896205i | \(-0.353687\pi\) |
−0.989434 | + | 0.144984i | \(0.953687\pi\) | |||||||
\(140\) | 14.9048 | − | 6.67210i | 0.106463 | − | 0.0476578i | ||||
\(141\) | 231.670 | + | 168.318i | 1.64305 | + | 1.19374i | ||||
\(142\) | 165.325 | + | 73.6076i | 1.16426 | + | 0.518363i | ||||
\(143\) | −27.5057 | + | 2.89097i | −0.192348 | + | 0.0202166i | ||||
\(144\) | −25.5888 | − | 243.462i | −0.177700 | − | 1.69070i | ||||
\(145\) | −44.3458 | + | 99.6022i | −0.305833 | + | 0.686912i | ||||
\(146\) | 33.9494 | − | 46.7273i | 0.232530 | − | 0.320050i | ||||
\(147\) | 160.487 | + | 219.027i | 1.09175 | + | 1.48998i | ||||
\(148\) | 34.1262 | − | 24.7941i | 0.230582 | − | 0.167528i | ||||
\(149\) | 45.1516 | − | 50.1459i | 0.303031 | − | 0.336550i | −0.572327 | − | 0.820026i | \(-0.693959\pi\) |
0.875358 | + | 0.483476i | \(0.160626\pi\) | |||||||
\(150\) | −159.263 | − | 91.9504i | −1.06175 | − | 0.613003i | ||||
\(151\) | −68.8744 | + | 30.6649i | −0.456122 | + | 0.203079i | −0.621919 | − | 0.783081i | \(-0.713647\pi\) |
0.165797 | + | 0.986160i | \(0.446980\pi\) | |||||||
\(152\) | 52.0564 | + | 46.8718i | 0.342477 | + | 0.308367i | ||||
\(153\) | 649.671 | + | 211.091i | 4.24621 | + | 1.37968i | ||||
\(154\) | 63.0152 | + | 140.769i | 0.409190 | + | 0.914087i | ||||
\(155\) | −32.9845 | −0.212803 | ||||||||
\(156\) | −11.3230 | + | 2.40677i | −0.0725832 | + | 0.0154280i | ||||
\(157\) | 114.587 | − | 12.0436i | 0.729855 | − | 0.0767109i | 0.267691 | − | 0.963505i | \(-0.413740\pi\) |
0.462165 | + | 0.886794i | \(0.347073\pi\) | |||||||
\(158\) | −180.663 | + | 80.4365i | −1.14344 | + | 0.509092i | ||||
\(159\) | −35.7435 | − | 32.1836i | −0.224802 | − | 0.202413i | ||||
\(160\) | 34.6728 | − | 11.2659i | 0.216705 | − | 0.0704118i | ||||
\(161\) | −112.945 | − | 36.4463i | −0.701523 | − | 0.226375i | ||||
\(162\) | −275.152 | − | 199.910i | −1.69847 | − | 1.23401i | ||||
\(163\) | 10.0907 | + | 17.4776i | 0.0619063 | + | 0.107225i | 0.895317 | − | 0.445429i | \(-0.146949\pi\) |
−0.833411 | + | 0.552653i | \(0.813615\pi\) | |||||||
\(164\) | 37.7581 | + | 10.1199i | 0.230232 | + | 0.0617067i | ||||
\(165\) | 85.5770 | − | 148.224i | 0.518649 | − | 0.898326i | ||||
\(166\) | 22.7350 | + | 2.38954i | 0.136958 | + | 0.0143948i | ||||
\(167\) | − | 251.555i | − | 1.50632i | −0.657838 | − | 0.753159i | \(-0.728529\pi\) | ||
0.657838 | − | 0.753159i | \(-0.271471\pi\) | |||||||
\(168\) | 168.274 | + | 290.106i | 1.00163 | + | 1.72682i | ||||
\(169\) | 50.7404 | + | 156.163i | 0.300239 | + | 0.924041i | ||||
\(170\) | 14.0479 | − | 133.657i | 0.0826347 | − | 0.786217i | ||||
\(171\) | 174.911 | − | 18.3839i | 1.02287 | − | 0.107508i | ||||
\(172\) | 48.1051 | + | 53.4261i | 0.279681 | + | 0.310617i | ||||
\(173\) | 28.5116 | − | 16.4612i | 0.164807 | − | 0.0951513i | −0.415328 | − | 0.909672i | \(-0.636333\pi\) |
0.580135 | + | 0.814520i | \(0.303000\pi\) | |||||||
\(174\) | −409.898 | − | 133.184i | −2.35574 | − | 0.765425i | ||||
\(175\) | 132.391 | + | 13.6448i | 0.756520 | + | 0.0779703i | ||||
\(176\) | 43.9897 | + | 135.386i | 0.249941 | + | 0.769240i | ||||
\(177\) | −37.0491 | + | 352.498i | −0.209317 | + | 1.99152i | ||||
\(178\) | 155.629 | + | 89.8524i | 0.874320 | + | 0.504789i | ||||
\(179\) | 85.5749 | + | 18.1895i | 0.478072 | + | 0.101617i | 0.440644 | − | 0.897682i | \(-0.354750\pi\) |
0.0374282 | + | 0.999299i | \(0.488083\pi\) | |||||||
\(180\) | 20.5975 | − | 46.2627i | 0.114431 | − | 0.257015i | ||||
\(181\) | −18.8793 | − | 6.13427i | −0.104306 | − | 0.0338910i | 0.256399 | − | 0.966571i | \(-0.417464\pi\) |
−0.360705 | + | 0.932680i | \(0.617464\pi\) | |||||||
\(182\) | −21.6255 | + | 15.7786i | −0.118821 | + | 0.0866957i | ||||
\(183\) | −32.7944 | + | 23.8265i | −0.179204 | + | 0.130200i | ||||
\(184\) | −133.913 | − | 59.6218i | −0.727786 | − | 0.324031i | ||||
\(185\) | −107.660 | + | 11.3155i | −0.581943 | + | 0.0611647i | ||||
\(186\) | −13.6293 | − | 129.675i | −0.0732760 | − | 0.697175i | ||||
\(187\) | −395.051 | − | 41.5216i | −2.11257 | − | 0.222041i | ||||
\(188\) | −46.8581 | − | 15.2251i | −0.249245 | − | 0.0809847i | ||||
\(189\) | 482.367 | + | 101.513i | 2.55220 | + | 0.537107i | ||||
\(190\) | −10.6924 | − | 32.9078i | −0.0562758 | − | 0.173199i | ||||
\(191\) | −112.698 | − | 195.198i | −0.590040 | − | 1.02198i | −0.994226 | − | 0.107303i | \(-0.965778\pi\) |
0.404186 | − | 0.914677i | \(-0.367555\pi\) | |||||||
\(192\) | 160.289 | + | 360.015i | 0.834839 | + | 1.87508i | ||||
\(193\) | 230.133 | + | 48.9162i | 1.19240 | + | 0.253452i | 0.761025 | − | 0.648722i | \(-0.224696\pi\) |
0.431372 | + | 0.902174i | \(0.358030\pi\) | |||||||
\(194\) | −21.6152 | − | 101.692i | −0.111419 | − | 0.524184i | ||||
\(195\) | 28.2534 | + | 9.18009i | 0.144889 | + | 0.0470774i | ||||
\(196\) | −37.9063 | − | 27.3075i | −0.193400 | − | 0.139324i | ||||
\(197\) | 55.4618 | − | 170.694i | 0.281532 | − | 0.866466i | −0.705885 | − | 0.708327i | \(-0.749450\pi\) |
0.987417 | − | 0.158139i | \(-0.0505496\pi\) | |||||||
\(198\) | 436.933 | + | 194.535i | 2.20673 | + | 0.982500i | ||||
\(199\) | −82.0634 | − | 184.317i | −0.412379 | − | 0.926219i | −0.993651 | − | 0.112509i | \(-0.964111\pi\) |
0.581272 | − | 0.813710i | \(-0.302555\pi\) | |||||||
\(200\) | 160.794 | + | 34.1779i | 0.803972 | + | 0.170890i | ||||
\(201\) | −246.216 | − | 221.694i | −1.22495 | − | 1.10295i | ||||
\(202\) | 98.0207i | 0.485251i | ||||||||
\(203\) | 310.142 | − | 33.2301i | 1.52779 | − | 0.163695i | ||||
\(204\) | −166.260 | −0.814999 | ||||||||
\(205\) | −70.9314 | − | 70.9406i | −0.346007 | − | 0.346052i | ||||
\(206\) | −219.686 | − | 126.836i | −1.06644 | − | 0.615707i | ||||
\(207\) | −336.220 | + | 149.695i | −1.62425 | + | 0.723163i | ||||
\(208\) | −21.3982 | + | 12.3542i | −0.102876 | + | 0.0593954i | ||||
\(209\) | −97.2661 | + | 31.6037i | −0.465388 | + | 0.151214i | ||||
\(210\) | −0.334297 | − | 165.662i | −0.00159189 | − | 0.788869i | ||||
\(211\) | −36.5768 | − | 26.5746i | −0.173350 | − | 0.125946i | 0.497727 | − | 0.867334i | \(-0.334168\pi\) |
−0.671077 | + | 0.741388i | \(0.734168\pi\) | |||||||
\(212\) | 7.55998 | + | 3.36592i | 0.0356603 | + | 0.0158770i | ||||
\(213\) | −426.974 | + | 384.449i | −2.00457 | + | 1.80492i | ||||
\(214\) | 0.287386 | − | 0.497768i | 0.00134293 | − | 0.00232602i | ||||
\(215\) | −38.3589 | − | 180.465i | −0.178414 | − | 0.839370i | ||||
\(216\) | 579.039 | + | 188.141i | 2.68073 | + | 0.871023i | ||||
\(217\) | 47.3472 | + | 81.6268i | 0.218190 | + | 0.376161i | ||||
\(218\) | −89.2869 | − | 64.8707i | −0.409573 | − | 0.297572i | ||||
\(219\) | 91.6856 | + | 158.804i | 0.418656 | + | 0.725133i | ||||
\(220\) | −6.12255 | + | 28.8043i | −0.0278298 | + | 0.130929i | ||||
\(221\) | −7.20695 | − | 68.5695i | −0.0326106 | − | 0.310269i | ||||
\(222\) | −88.9709 | − | 418.575i | −0.400770 | − | 1.88547i | ||||
\(223\) | −42.2126 | + | 58.1007i | −0.189294 | + | 0.260541i | −0.893107 | − | 0.449844i | \(-0.851479\pi\) |
0.703813 | + | 0.710386i | \(0.251479\pi\) | |||||||
\(224\) | −77.6504 | − | 69.6336i | −0.346654 | − | 0.310864i | ||||
\(225\) | 333.907 | − | 242.598i | 1.48403 | − | 1.07821i | ||||
\(226\) | 137.452 | + | 61.1976i | 0.608195 | + | 0.270786i | ||||
\(227\) | −134.407 | + | 14.1268i | −0.592103 | + | 0.0622325i | −0.395841 | − | 0.918319i | \(-0.629547\pi\) |
−0.196262 | + | 0.980552i | \(0.562880\pi\) | |||||||
\(228\) | −39.1051 | + | 17.4107i | −0.171513 | + | 0.0763627i | ||||
\(229\) | −38.7375 | − | 182.246i | −0.169159 | − | 0.795832i | −0.978132 | − | 0.207986i | \(-0.933309\pi\) |
0.808972 | − | 0.587847i | \(-0.200024\pi\) | |||||||
\(230\) | 42.5600 | + | 58.5788i | 0.185044 | + | 0.254691i | ||||
\(231\) | −489.651 | + | 0.988087i | −2.11970 | + | 0.00427743i | ||||
\(232\) | 385.259 | 1.66060 | ||||||||
\(233\) | 37.0845 | − | 352.836i | 0.159161 | − | 1.51432i | −0.565234 | − | 0.824931i | \(-0.691214\pi\) |
0.724395 | − | 0.689385i | \(-0.242119\pi\) | |||||||
\(234\) | −17.2600 | + | 81.2019i | −0.0737607 | + | 0.347017i | ||||
\(235\) | 84.6052 | + | 93.9636i | 0.360022 | + | 0.399845i | ||||
\(236\) | −12.6791 | − | 59.6504i | −0.0537250 | − | 0.252756i | ||||
\(237\) | − | 627.853i | − | 2.64917i | ||||||
\(238\) | −350.926 | + | 157.092i | −1.47448 | + | 0.660049i | ||||
\(239\) | 20.6859 | − | 15.0292i | 0.0865518 | − | 0.0628836i | −0.543668 | − | 0.839300i | \(-0.682965\pi\) |
0.630220 | + | 0.776417i | \(0.282965\pi\) | |||||||
\(240\) | 15.9830 | − | 152.068i | 0.0665959 | − | 0.633617i | ||||
\(241\) | 20.5636 | − | 96.7440i | 0.0853260 | − | 0.401427i | −0.914670 | − | 0.404201i | \(-0.867550\pi\) |
0.999996 | + | 0.00277372i | \(0.000882904\pi\) | |||||||
\(242\) | −65.4620 | − | 13.9144i | −0.270504 | − | 0.0574975i | ||||
\(243\) | 386.250 | − | 223.002i | 1.58951 | − | 0.917703i | ||||
\(244\) | 4.09946 | − | 5.64243i | 0.0168011 | − | 0.0231247i | ||||
\(245\) | 49.2065 | + | 109.330i | 0.200843 | + | 0.446245i | ||||
\(246\) | 249.586 | − | 308.171i | 1.01458 | − | 1.25273i | ||||
\(247\) | −8.87570 | − | 15.3732i | −0.0359340 | − | 0.0622395i | ||||
\(248\) | 47.4063 | + | 106.476i | 0.191155 | + | 0.429340i | ||||
\(249\) | −36.2884 | + | 62.8533i | −0.145737 | + | 0.252423i | ||||
\(250\) | −139.688 | − | 125.776i | −0.558753 | − | 0.503103i | ||||
\(251\) | 27.8697 | − | 9.05540i | 0.111034 | − | 0.0360773i | −0.252973 | − | 0.967473i | \(-0.581408\pi\) |
0.364007 | + | 0.931396i | \(0.381408\pi\) | |||||||
\(252\) | −144.053 | + | 15.4346i | −0.571639 | + | 0.0612482i | ||||
\(253\) | 173.142 | − | 125.795i | 0.684357 | − | 0.497214i | ||||
\(254\) | −69.8542 | + | 14.8480i | −0.275016 | + | 0.0584565i | ||||
\(255\) | 369.510 | + | 213.336i | 1.44906 | + | 0.836613i | ||||
\(256\) | −114.978 | − | 127.696i | −0.449134 | − | 0.498814i | ||||
\(257\) | −27.8787 | − | 131.159i | −0.108477 | − | 0.510346i | −0.998516 | − | 0.0544607i | \(-0.982656\pi\) |
0.890039 | − | 0.455885i | \(-0.150677\pi\) | |||||||
\(258\) | 693.625 | − | 225.373i | 2.68847 | − | 0.873537i | ||||
\(259\) | 182.541 | + | 250.183i | 0.704792 | + | 0.965957i | ||||
\(260\) | −5.11130 | −0.0196588 | ||||||||
\(261\) | 647.240 | − | 718.832i | 2.47985 | − | 2.75415i | ||||
\(262\) | 271.454 | − | 28.5310i | 1.03608 | − | 0.108897i | ||||
\(263\) | 174.350 | + | 193.635i | 0.662928 | + | 0.736256i | 0.977023 | − | 0.213136i | \(-0.0683677\pi\) |
−0.314095 | + | 0.949392i | \(0.601701\pi\) | |||||||
\(264\) | −601.472 | − | 63.2172i | −2.27830 | − | 0.239459i | ||||
\(265\) | −12.4829 | − | 17.1813i | −0.0471054 | − | 0.0648351i | ||||
\(266\) | −66.0889 | + | 73.6977i | −0.248454 | + | 0.277059i | ||||
\(267\) | −461.568 | + | 335.349i | −1.72872 | + | 1.25599i | ||||
\(268\) | 52.0762 | + | 23.1858i | 0.194314 | + | 0.0865143i | ||||
\(269\) | 189.529 | + | 425.688i | 0.704568 | + | 1.58248i | 0.808903 | + | 0.587942i | \(0.200062\pi\) |
−0.104335 | + | 0.994542i | \(0.533271\pi\) | |||||||
\(270\) | −201.235 | − | 223.494i | −0.745315 | − | 0.827756i | ||||
\(271\) | −10.5247 | + | 23.6389i | −0.0388365 | + | 0.0872283i | −0.931922 | − | 0.362659i | \(-0.881869\pi\) |
0.893085 | + | 0.449887i | \(0.148536\pi\) | |||||||
\(272\) | −337.507 | + | 109.663i | −1.24083 | + | 0.403171i | ||||
\(273\) | −17.8380 | − | 83.0963i | −0.0653407 | − | 0.304382i | ||||
\(274\) | −355.560 | − | 258.329i | −1.29766 | − | 0.942807i | ||||
\(275\) | −160.595 | + | 178.359i | −0.583981 | + | 0.648577i | ||||
\(276\) | 66.5682 | − | 59.9383i | 0.241189 | − | 0.217168i | ||||
\(277\) | −166.553 | − | 184.976i | −0.601274 | − | 0.667783i | 0.363276 | − | 0.931682i | \(-0.381658\pi\) |
−0.964550 | + | 0.263899i | \(0.914992\pi\) | |||||||
\(278\) | 195.102 | − | 112.642i | 0.701804 | − | 0.405187i | ||||
\(279\) | 278.311 | + | 90.4289i | 0.997532 | + | 0.324118i | ||||
\(280\) | 46.0445 | + | 140.743i | 0.164445 | + | 0.502655i | ||||
\(281\) | −42.6792 | − | 31.0082i | −0.151883 | − | 0.110350i | 0.509248 | − | 0.860620i | \(-0.329923\pi\) |
−0.661131 | + | 0.750270i | \(0.729923\pi\) | |||||||
\(282\) | −334.448 | + | 371.442i | −1.18598 | + | 1.31717i | ||||
\(283\) | 33.6129 | − | 158.136i | 0.118773 | − | 0.558785i | −0.878010 | − | 0.478642i | \(-0.841129\pi\) |
0.996783 | − | 0.0801427i | \(-0.0255376\pi\) | |||||||
\(284\) | 49.4270 | − | 85.6100i | 0.174039 | − | 0.301444i | ||||
\(285\) | 109.251 | + | 11.4827i | 0.383336 | + | 0.0402903i | ||||
\(286\) | − | 48.2741i | − | 0.168791i | ||||||
\(287\) | −73.7396 | + | 277.365i | −0.256932 | + | 0.966429i | ||||
\(288\) | −323.443 | −1.12307 | ||||||||
\(289\) | 73.3011 | − | 697.414i | 0.253637 | − | 2.41320i | ||||
\(290\) | −164.807 | − | 95.1512i | −0.568299 | − | 0.328108i | ||||
\(291\) | 322.852 | + | 68.6243i | 1.10946 | + | 0.235822i | ||||
\(292\) | −23.4461 | − | 21.1110i | −0.0802950 | − | 0.0722979i | ||||
\(293\) | −176.202 | + | 242.522i | −0.601373 | + | 0.827720i | −0.995833 | − | 0.0911937i | \(-0.970932\pi\) |
0.394460 | + | 0.918913i | \(0.370932\pi\) | |||||||
\(294\) | −409.486 | + | 238.625i | −1.39281 | + | 0.811651i | ||||
\(295\) | −48.3615 | + | 148.841i | −0.163937 | + | 0.504547i | ||||
\(296\) | 191.259 | + | 331.270i | 0.646145 | + | 1.11916i | ||||
\(297\) | −660.585 | + | 594.793i | −2.22419 | + | 2.00267i | ||||
\(298\) | 78.8095 | + | 87.5268i | 0.264461 | + | 0.293714i | ||||
\(299\) | 27.6056 | + | 24.8561i | 0.0923263 | + | 0.0831309i | ||||
\(300\) | −59.0455 | + | 81.2692i | −0.196818 | + | 0.270897i | ||||
\(301\) | −391.535 | + | 353.973i | −1.30078 | + | 1.17599i | ||||
\(302\) | −40.6645 | − | 125.153i | −0.134651 | − | 0.414412i | ||||
\(303\) | −284.293 | − | 126.575i | −0.938260 | − | 0.417740i | ||||
\(304\) | −67.8993 | + | 61.1368i | −0.223353 | + | 0.201108i | ||||
\(305\) | −16.3511 | + | 7.27997i | −0.0536101 | + | 0.0238688i | ||||
\(306\) | −484.960 | + | 1089.24i | −1.58484 | + | 3.55960i | ||||
\(307\) | −171.914 | − | 236.620i | −0.559981 | − | 0.770748i | 0.431343 | − | 0.902188i | \(-0.358040\pi\) |
−0.991324 | + | 0.131440i | \(0.958040\pi\) | |||||||
\(308\) | 80.0708 | − | 26.1953i | 0.259970 | − | 0.0850498i | ||||
\(309\) | 651.549 | − | 473.378i | 2.10857 | − | 1.53197i | ||||
\(310\) | 6.01796 | − | 57.2571i | 0.0194128 | − | 0.184700i | ||||
\(311\) | −350.319 | + | 315.428i | −1.12643 | + | 1.01424i | −0.126676 | + | 0.991944i | \(0.540431\pi\) |
−0.999751 | + | 0.0222953i | \(0.992903\pi\) | |||||||
\(312\) | −10.9727 | − | 104.398i | −0.0351689 | − | 0.334609i | ||||
\(313\) | 222.962 | + | 200.756i | 0.712340 | + | 0.641394i | 0.943443 | − | 0.331536i | \(-0.107567\pi\) |
−0.231103 | + | 0.972929i | \(0.574233\pi\) | |||||||
\(314\) | 201.107i | 0.640469i | ||||||||
\(315\) | 339.961 | + | 150.539i | 1.07924 | + | 0.477901i | ||||
\(316\) | 33.3816 | + | 102.738i | 0.105638 | + | 0.325120i | ||||
\(317\) | −310.513 | + | 66.0016i | −0.979537 | + | 0.208207i | −0.669740 | − | 0.742596i | \(-0.733594\pi\) |
−0.309797 | + | 0.950803i | \(0.600261\pi\) | |||||||
\(318\) | 62.3882 | − | 56.1746i | 0.196189 | − | 0.176650i | ||||
\(319\) | −281.240 | + | 487.121i | −0.881629 | + | 1.52703i | ||||
\(320\) | 36.1779 | + | 170.204i | 0.113056 | + | 0.531887i | ||||
\(321\) | 1.07259 | + | 1.47629i | 0.00334139 | + | 0.00459904i | ||||
\(322\) | 83.8731 | − | 189.410i | 0.260476 | − | 0.588229i | ||||
\(323\) | −78.7853 | − | 242.476i | −0.243917 | − | 0.750700i | ||||
\(324\) | −124.311 | + | 138.062i | −0.383677 | + | 0.426116i | ||||
\(325\) | −36.0769 | − | 20.8290i | −0.111006 | − | 0.0640892i | ||||
\(326\) | −32.1801 | + | 14.3275i | −0.0987121 | + | 0.0439494i | ||||
\(327\) | 303.444 | − | 175.194i | 0.927964 | − | 0.535760i | ||||
\(328\) | −127.057 | + | 330.930i | −0.387369 | + | 1.00893i | ||||
\(329\) | 111.087 | − | 344.252i | 0.337650 | − | 1.04636i | ||||
\(330\) | 241.685 | + | 175.595i | 0.732380 | + | 0.532105i | ||||
\(331\) | −147.599 | − | 255.649i | −0.445919 | − | 0.772355i | 0.552197 | − | 0.833714i | \(-0.313790\pi\) |
−0.998116 | + | 0.0613592i | \(0.980456\pi\) | |||||||
\(332\) | 2.59623 | − | 12.2143i | 0.00781997 | − | 0.0367901i | ||||
\(333\) | 939.416 | + | 199.679i | 2.82107 | + | 0.599637i | ||||
\(334\) | 436.670 | + | 45.8958i | 1.30739 | + | 0.137413i | ||||
\(335\) | −85.9876 | − | 118.352i | −0.256679 | − | 0.353289i | ||||
\(336\) | −399.267 | + | 178.731i | −1.18829 | + | 0.531938i | ||||
\(337\) | 51.3351 | 0.152330 | 0.0761649 | − | 0.997095i | \(-0.475732\pi\) | ||||
0.0761649 | + | 0.997095i | \(0.475732\pi\) | |||||||
\(338\) | −280.338 | + | 59.5876i | −0.829402 | + | 0.176295i | ||||
\(339\) | −354.987 | + | 319.632i | −1.04716 | + | 0.942866i | ||||
\(340\) | −71.8069 | − | 15.2630i | −0.211197 | − | 0.0448912i | ||||
\(341\) | −169.236 | − | 17.7874i | −0.496292 | − | 0.0521624i | ||||
\(342\) | 306.979i | 0.897598i | ||||||||
\(343\) | 199.927 | − | 278.708i | 0.582877 | − | 0.812560i | ||||
\(344\) | −527.423 | + | 383.195i | −1.53321 | + | 1.11394i | ||||
\(345\) | −224.857 | + | 47.7947i | −0.651758 | + | 0.138535i | ||||
\(346\) | 23.3727 | + | 52.4960i | 0.0675512 | + | 0.151723i | ||||
\(347\) | −49.4545 | − | 470.529i | −0.142520 | − | 1.35599i | −0.798857 | − | 0.601522i | \(-0.794561\pi\) |
0.656336 | − | 0.754469i | \(-0.272105\pi\) | |||||||
\(348\) | −95.7564 | + | 215.072i | −0.275162 | + | 0.618024i | ||||
\(349\) | −101.836 | − | 140.165i | −0.291794 | − | 0.401620i | 0.637802 | − | 0.770200i | \(-0.279844\pi\) |
−0.929596 | + | 0.368581i | \(0.879844\pi\) | |||||||
\(350\) | −47.8403 | + | 227.325i | −0.136686 | + | 0.649501i | ||||
\(351\) | −124.822 | − | 90.6883i | −0.355618 | − | 0.258371i | ||||
\(352\) | 183.973 | − | 39.1048i | 0.522652 | − | 0.111093i | ||||
\(353\) | 91.2002 | − | 9.58552i | 0.258357 | − | 0.0271545i | 0.0255358 | − | 0.999674i | \(-0.491871\pi\) |
0.232822 | + | 0.972519i | \(0.425204\pi\) | |||||||
\(354\) | −605.135 | − | 128.625i | −1.70942 | − | 0.363349i | ||||
\(355\) | −219.701 | + | 126.845i | −0.618877 | + | 0.357309i | ||||
\(356\) | 57.6983 | − | 79.4149i | 0.162074 | − | 0.223076i | ||||
\(357\) | −2.46322 | − | 1220.66i | −0.00689977 | − | 3.41921i | ||||
\(358\) | −47.1878 | + | 145.229i | −0.131810 | + | 0.405668i | ||||
\(359\) | −428.672 | + | 91.1170i | −1.19407 | + | 0.253808i | −0.761726 | − | 0.647900i | \(-0.775648\pi\) |
−0.432347 | + | 0.901708i | \(0.642314\pi\) | |||||||
\(360\) | 397.698 | + | 229.611i | 1.10472 | + | 0.637809i | ||||
\(361\) | 197.633 | + | 219.494i | 0.547461 | + | 0.608017i | ||||
\(362\) | 14.0929 | − | 31.6531i | 0.0389306 | − | 0.0874395i | ||||
\(363\) | 124.888 | − | 171.894i | 0.344045 | − | 0.473537i | ||||
\(364\) | 7.33695 | + | 12.6490i | 0.0201565 | + | 0.0347499i | ||||
\(365\) | 25.0200 | + | 77.0038i | 0.0685481 | + | 0.210969i | ||||
\(366\) | −35.3767 | − | 61.2742i | −0.0966577 | − | 0.167416i | ||||
\(367\) | 51.1326 | + | 114.846i | 0.139326 | + | 0.312931i | 0.969710 | − | 0.244261i | \(-0.0785454\pi\) |
−0.830384 | + | 0.557192i | \(0.811879\pi\) | |||||||
\(368\) | 95.5988 | − | 165.582i | 0.259779 | − | 0.449951i | ||||
\(369\) | 404.006 | + | 793.035i | 1.09487 | + | 2.14915i | ||||
\(370\) | − | 188.948i | − | 0.510672i | ||||||
\(371\) | −24.6002 | + | 55.5543i | −0.0663077 | + | 0.149742i | ||||
\(372\) | −71.2238 | −0.191462 | ||||||||
\(373\) | 109.770 | − | 121.912i | 0.294290 | − | 0.326842i | −0.577809 | − | 0.816172i | \(-0.696092\pi\) |
0.872099 | + | 0.489330i | \(0.162759\pi\) | |||||||
\(374\) | 144.153 | − | 678.186i | 0.385436 | − | 1.81333i | ||||
\(375\) | 545.173 | − | 242.727i | 1.45379 | − | 0.647271i | ||||
\(376\) | 181.724 | − | 408.160i | 0.483310 | − | 1.08553i | ||||
\(377\) | −92.8518 | − | 30.1694i | −0.246291 | − | 0.0800249i | ||||
\(378\) | −264.222 | + | 818.810i | −0.699000 | + | 2.16616i | ||||
\(379\) | 169.895 | − | 522.882i | 0.448271 | − | 1.37964i | −0.430586 | − | 0.902550i | \(-0.641693\pi\) |
0.878857 | − | 0.477086i | \(-0.158307\pi\) | |||||||
\(380\) | −18.4876 | + | 3.92967i | −0.0486517 | + | 0.0103412i | ||||
\(381\) | 47.1395 | − | 221.774i | 0.123726 | − | 0.582084i | ||||
\(382\) | 359.402 | − | 160.016i | 0.940843 | − | 0.418890i | ||||
\(383\) | −150.009 | + | 86.6077i | −0.391668 | + | 0.226130i | −0.682883 | − | 0.730528i | \(-0.739274\pi\) |
0.291214 | + | 0.956658i | \(0.405941\pi\) | |||||||
\(384\) | −340.083 | + | 110.500i | −0.885632 | + | 0.287759i | ||||
\(385\) | −211.569 | − | 44.5243i | −0.549529 | − | 0.115647i | ||||
\(386\) | −126.900 | + | 390.558i | −0.328757 | + | 1.01181i | ||||
\(387\) | −171.095 | + | 1627.86i | −0.442106 | + | 4.20636i | ||||
\(388\) | −56.4781 | + | 5.93609i | −0.145562 | + | 0.0152992i | ||||
\(389\) | 8.65164 | + | 82.3149i | 0.0222407 | + | 0.211606i | 0.999998 | + | 0.00186796i | \(0.000594590\pi\) |
−0.977758 | + | 0.209738i | \(0.932739\pi\) | |||||||
\(390\) | −21.0903 | + | 47.3696i | −0.0540777 | + | 0.121461i | ||||
\(391\) | 313.597 | + | 431.629i | 0.802039 | + | 1.10391i | ||||
\(392\) | 282.205 | − | 315.975i | 0.719910 | − | 0.806059i | ||||
\(393\) | −267.783 | + | 824.151i | −0.681381 | + | 2.09708i | ||||
\(394\) | 286.185 | + | 127.418i | 0.726358 | + | 0.323395i | ||||
\(395\) | 57.6383 | − | 271.167i | 0.145920 | − | 0.686499i | ||||
\(396\) | 130.629 | − | 226.256i | 0.329871 | − | 0.571353i | ||||
\(397\) | −108.648 | − | 11.4193i | −0.273672 | − | 0.0287641i | −0.0333017 | − | 0.999445i | \(-0.510602\pi\) |
−0.240370 | + | 0.970681i | \(0.577269\pi\) | |||||||
\(398\) | 334.925 | − | 108.824i | 0.841521 | − | 0.273427i | ||||
\(399\) | −128.407 | − | 286.847i | −0.321821 | − | 0.718914i | ||||
\(400\) | −66.2582 | + | 203.922i | −0.165646 | + | 0.509805i | ||||
\(401\) | 235.102 | + | 407.209i | 0.586290 | + | 1.01548i | 0.994713 | + | 0.102692i | \(0.0327456\pi\) |
−0.408423 | + | 0.912793i | \(0.633921\pi\) | |||||||
\(402\) | 429.756 | − | 386.954i | 1.06904 | − | 0.962571i | ||||
\(403\) | −3.08737 | − | 29.3744i | −0.00766098 | − | 0.0728893i | ||||
\(404\) | 53.2497 | + | 5.59676i | 0.131806 | + | 0.0138534i | ||||
\(405\) | 453.434 | − | 147.330i | 1.11959 | − | 0.363777i | ||||
\(406\) | 1.09863 | + | 544.432i | 0.00270599 | + | 1.34096i | ||||
\(407\) | −558.478 | −1.37218 | ||||||||
\(408\) | 157.595 | − | 1499.42i | 0.386263 | − | 3.67505i | ||||
\(409\) | 402.318 | + | 232.279i | 0.983663 | + | 0.567918i | 0.903374 | − | 0.428853i | \(-0.141082\pi\) |
0.0802891 | + | 0.996772i | \(0.474416\pi\) | |||||||
\(410\) | 136.086 | − | 110.185i | 0.331917 | − | 0.268745i | ||||
\(411\) | 1208.38 | − | 697.658i | 2.94010 | − | 1.69747i | ||||
\(412\) | −81.4469 | + | 112.102i | −0.197687 | + | 0.272092i | ||||
\(413\) | 437.758 | − | 93.9721i | 1.05995 | − | 0.227535i | ||||
\(414\) | −198.509 | − | 610.949i | −0.479491 | − | 1.47572i | ||||
\(415\) | −21.4429 | + | 23.8147i | −0.0516696 | + | 0.0573849i | ||||
\(416\) | 13.2783 | + | 29.8235i | 0.0319189 | + | 0.0716910i | ||||
\(417\) | 74.7623 | + | 711.316i | 0.179286 | + | 1.70579i | ||||
\(418\) | −37.1141 | − | 174.608i | −0.0887898 | − | 0.417723i | ||||
\(419\) | 377.819i | 0.901715i | 0.892596 | + | 0.450858i | \(0.148882\pi\) | ||||
−0.892596 | + | 0.450858i | \(0.851118\pi\) | |||||||
\(420\) | −90.0150 | − | 9.27735i | −0.214321 | − | 0.0220889i | ||||
\(421\) | −23.9680 | + | 73.7659i | −0.0569311 | + | 0.175216i | −0.975478 | − | 0.220095i | \(-0.929363\pi\) |
0.918547 | + | 0.395311i | \(0.129363\pi\) | |||||||
\(422\) | 52.8038 | − | 58.6445i | 0.125127 | − | 0.138968i | ||||
\(423\) | −456.263 | − | 1024.78i | −1.07863 | − | 2.42265i | ||||
\(424\) | −37.5217 | + | 64.9894i | −0.0884945 | + | 0.153277i | ||||
\(425\) | −444.633 | − | 400.350i | −1.04620 | − | 0.941999i | ||||
\(426\) | −589.456 | − | 811.317i | −1.38370 | − | 1.90450i | ||||
\(427\) | 41.4868 | + | 30.0142i | 0.0971587 | + | 0.0702908i | ||||
\(428\) | −0.254003 | − | 0.184544i | −0.000593464 | − | 0.000431177i | ||||
\(429\) | 140.011 | + | 62.3370i | 0.326366 | + | 0.145308i | ||||
\(430\) | 320.264 | − | 33.6611i | 0.744799 | − | 0.0782815i | ||||
\(431\) | 79.4331 | + | 755.755i | 0.184300 | + | 1.75349i | 0.561606 | + | 0.827405i | \(0.310184\pi\) |
−0.377307 | + | 0.926088i | \(0.623150\pi\) | |||||||
\(432\) | −323.002 | + | 725.475i | −0.747690 | + | 1.67934i | ||||
\(433\) | −200.807 | + | 276.387i | −0.463757 | + | 0.638307i | −0.975283 | − | 0.220961i | \(-0.929081\pi\) |
0.511526 | + | 0.859268i | \(0.329081\pi\) | |||||||
\(434\) | −150.333 | + | 67.2963i | −0.346389 | + | 0.155061i | ||||
\(435\) | 488.787 | − | 355.125i | 1.12365 | − | 0.816379i | ||||
\(436\) | −40.3391 | + | 44.8011i | −0.0925208 | + | 0.102755i | ||||
\(437\) | 118.960 | + | 68.6814i | 0.272219 | + | 0.157166i | ||||
\(438\) | −292.393 | + | 130.182i | −0.667564 | + | 0.297219i | ||||
\(439\) | 164.091 | + | 147.748i | 0.373784 | + | 0.336556i | 0.834517 | − | 0.550982i | \(-0.185747\pi\) |
−0.460733 | + | 0.887539i | \(0.652414\pi\) | |||||||
\(440\) | −253.970 | − | 82.5197i | −0.577203 | − | 0.187545i | ||||
\(441\) | −115.453 | − | 1057.39i | −0.261798 | − | 2.39771i | ||||
\(442\) | 120.343 | 0.272270 | ||||||||
\(443\) | −454.969 | + | 96.7067i | −1.02702 | + | 0.218300i | −0.690466 | − | 0.723365i | \(-0.742594\pi\) |
−0.336553 | + | 0.941665i | \(0.609261\pi\) | |||||||
\(444\) | −232.471 | + | 24.4336i | −0.523582 | + | 0.0550307i | ||||
\(445\) | −230.135 | + | 102.463i | −0.517157 | + | 0.230253i | ||||
\(446\) | −93.1543 | − | 83.8765i | −0.208866 | − | 0.188064i | ||||
\(447\) | −355.625 | + | 115.550i | −0.795581 | + | 0.258500i | ||||
\(448\) | 369.273 | − | 333.847i | 0.824271 | − | 0.745194i | ||||
\(449\) | 6.04321 | + | 4.39065i | 0.0134593 | + | 0.00977872i | 0.594495 | − | 0.804100i | \(-0.297352\pi\) |
−0.581035 | + | 0.813878i | \(0.697352\pi\) | |||||||
\(450\) | 360.200 | + | 623.885i | 0.800444 | + | 1.38641i | ||||
\(451\) | −325.676 | − | 402.231i | −0.722121 | − | 0.891864i | ||||
\(452\) | 41.0937 | − | 71.1764i | 0.0909153 | − | 0.157470i | ||||
\(453\) | 415.495 | + | 43.6703i | 0.917207 | + | 0.0964024i | ||||
\(454\) | − | 235.893i | − | 0.519587i | ||||||
\(455\) | −0.0757264 | − | 37.5265i | −0.000166432 | − | 0.0824758i | ||||
\(456\) | −119.952 | − | 369.174i | −0.263052 | − | 0.809591i | ||||
\(457\) | −1.91035 | + | 18.1758i | −0.00418021 | + | 0.0397720i | −0.996413 | − | 0.0846216i | \(-0.973032\pi\) |
0.992233 | + | 0.124394i | \(0.0396985\pi\) | |||||||
\(458\) | 323.424 | − | 33.9933i | 0.706166 | − | 0.0742211i | ||||
\(459\) | −1482.77 | − | 1646.78i | −3.23044 | − | 3.58776i | ||||
\(460\) | 34.2530 | − | 19.7760i | 0.0744630 | − | 0.0429912i | ||||
\(461\) | −515.503 | − | 167.497i | −1.11823 | − | 0.363335i | −0.309137 | − | 0.951017i | \(-0.600040\pi\) |
−0.809091 | + | 0.587683i | \(0.800040\pi\) | |||||||
\(462\) | 87.6208 | − | 850.155i | 0.189655 | − | 1.84016i | ||||
\(463\) | −241.046 | − | 741.864i | −0.520619 | − | 1.60230i | −0.772821 | − | 0.634624i | \(-0.781155\pi\) |
0.252202 | − | 0.967675i | \(-0.418845\pi\) | |||||||
\(464\) | −52.5265 | + | 499.756i | −0.113204 | + | 1.07706i | ||||
\(465\) | 158.294 | + | 91.3909i | 0.340416 | + | 0.196540i | ||||
\(466\) | 605.714 | + | 128.749i | 1.29982 | + | 0.276284i | ||||
\(467\) | −90.8591 | + | 204.073i | −0.194559 | + | 0.436987i | −0.984312 | − | 0.176439i | \(-0.943542\pi\) |
0.789752 | + | 0.613426i | \(0.210209\pi\) | |||||||
\(468\) | 43.1273 | + | 14.0129i | 0.0921524 | + | 0.0299421i | ||||
\(469\) | −169.456 | + | 382.681i | −0.361313 | + | 0.815950i | ||||
\(470\) | −178.546 | + | 129.721i | −0.379884 | + | 0.276002i | ||||
\(471\) | −583.278 | − | 259.692i | −1.23838 | − | 0.551363i | ||||
\(472\) | 549.978 | − | 57.8050i | 1.16521 | − | 0.122468i | ||||
\(473\) | −99.4924 | − | 946.607i | −0.210343 | − | 2.00128i | ||||
\(474\) | 1089.88 | + | 114.551i | 2.29932 | + | 0.241668i | ||||
\(475\) | −146.504 | − | 47.6021i | −0.308430 | − | 0.100215i | ||||
\(476\) | 65.3028 | + | 199.610i | 0.137191 | + | 0.419349i | ||||
\(477\) | 58.2232 | + | 179.193i | 0.122061 | + | 0.375666i | ||||
\(478\) | 22.3147 | + | 38.6503i | 0.0466836 | + | 0.0808583i | ||||
\(479\) | 260.753 | + | 585.660i | 0.544369 | + | 1.22267i | 0.951031 | + | 0.309094i | \(0.100026\pi\) |
−0.406662 | + | 0.913579i | \(0.633307\pi\) | |||||||
\(480\) | −197.611 | − | 42.0035i | −0.411689 | − | 0.0875072i | ||||
\(481\) | −20.1540 | − | 94.8173i | −0.0419003 | − | 0.197125i | ||||
\(482\) | 164.184 | + | 53.3467i | 0.340631 | + | 0.110678i | ||||
\(483\) | 441.046 | + | 487.848i | 0.913138 | + | 1.01004i | ||||
\(484\) | −11.2967 | + | 34.7677i | −0.0233403 | + | 0.0718341i | ||||
\(485\) | 133.139 | + | 59.2771i | 0.274512 | + | 0.122221i | ||||
\(486\) | 316.634 | + | 711.171i | 0.651510 | + | 1.46331i | ||||
\(487\) | 549.752 | + | 116.853i | 1.12885 | + | 0.239945i | 0.734232 | − | 0.678898i | \(-0.237542\pi\) |
0.394622 | + | 0.918844i | \(0.370876\pi\) | |||||||
\(488\) | 47.0006 | + | 42.3195i | 0.0963127 | + | 0.0867204i | ||||
\(489\) | − | 111.834i | − | 0.228700i | ||||||
\(490\) | −198.762 | + | 65.4696i | −0.405636 | + | 0.133611i | ||||
\(491\) | −155.321 | −0.316336 | −0.158168 | − | 0.987412i | \(-0.550559\pi\) | ||||
−0.158168 | + | 0.987412i | \(0.550559\pi\) | |||||||
\(492\) | −153.163 | − | 153.183i | −0.311307 | − | 0.311348i | ||||
\(493\) | −1214.35 | − | 701.107i | −2.46319 | − | 1.42212i | ||||
\(494\) | 28.3053 | − | 12.6023i | 0.0572982 | − | 0.0255108i | ||||
\(495\) | −580.641 | + | 335.233i | −1.17301 | + | 0.677239i | ||||
\(496\) | −144.584 | + | 46.9782i | −0.291500 | + | 0.0947141i | ||||
\(497\) | 629.271 | + | 361.618i | 1.26614 | + | 0.727603i | ||||
\(498\) | −102.485 | − | 74.4598i | −0.205793 | − | 0.149518i | ||||
\(499\) | 415.812 | + | 185.131i | 0.833291 | + | 0.371005i | 0.778617 | − | 0.627499i | \(-0.215922\pi\) |
0.0546736 | + | 0.998504i | \(0.482588\pi\) | |||||||
\(500\) | −76.3034 | + | 68.7039i | −0.152607 | + | 0.137408i | ||||
\(501\) | −696.990 | + | 1207.22i | −1.39120 | + | 2.40963i | ||||
\(502\) | 10.6343 | + | 50.0305i | 0.0211839 | + | 0.0996624i | ||||
\(503\) | 670.005 | + | 217.698i | 1.33202 | + | 0.432799i | 0.886606 | − | 0.462526i | \(-0.153057\pi\) |
0.445413 | + | 0.895325i | \(0.353057\pi\) | |||||||
\(504\) | −2.65113 | − | 1313.78i | −0.00526018 | − | 2.60670i | ||||
\(505\) | −111.165 | − | 80.7661i | −0.220129 | − | 0.159933i | ||||
\(506\) | 186.776 | + | 323.505i | 0.369122 | + | 0.639339i | ||||
\(507\) | 189.180 | − | 890.020i | 0.373135 | − | 1.75546i | ||||
\(508\) | 4.07762 | + | 38.7960i | 0.00802682 | + | 0.0763701i | ||||
\(509\) | 197.930 | + | 931.187i | 0.388861 | + | 1.82944i | 0.540921 | + | 0.841074i | \(0.318076\pi\) |
−0.152060 | + | 0.988371i | \(0.548591\pi\) | |||||||
\(510\) | −437.743 | + | 602.501i | −0.858319 | + | 1.18138i | ||||
\(511\) | 154.647 | − | 172.451i | 0.302636 | − | 0.337478i | ||||
\(512\) | 451.463 | − | 328.007i | 0.881764 | − | 0.640639i | ||||
\(513\) | −521.205 | − | 232.056i | −1.01600 | − | 0.452350i | ||||
\(514\) | 232.763 | − | 24.4643i | 0.452846 | − | 0.0475960i | ||||
\(515\) | 324.858 | − | 144.636i | 0.630793 | − | 0.280847i | ||||
\(516\) | −82.8290 | − | 389.680i | −0.160521 | − | 0.755193i | ||||
\(517\) | 383.418 | + | 527.730i | 0.741621 | + | 1.02075i | ||||
\(518\) | −467.592 | + | 271.224i | −0.902687 | + | 0.523598i | ||||
\(519\) | −182.438 | −0.351517 | ||||||||
\(520\) | 4.84493 | − | 46.0964i | 0.00931717 | − | 0.0886469i | ||||
\(521\) | −94.6227 | + | 445.165i | −0.181617 | + | 0.854443i | 0.789109 | + | 0.614254i | \(0.210543\pi\) |
−0.970726 | + | 0.240189i | \(0.922791\pi\) | |||||||
\(522\) | 1129.72 | + | 1254.68i | 2.16421 | + | 2.40360i | ||||
\(523\) | 127.263 | + | 598.724i | 0.243332 | + | 1.14479i | 0.914848 | + | 0.403798i | \(0.132310\pi\) |
−0.671516 | + | 0.740990i | \(0.734357\pi\) | |||||||
\(524\) | − | 149.096i | − | 0.284535i | ||||||
\(525\) | −597.543 | − | 432.301i | −1.13818 | − | 0.823431i | ||||
\(526\) | −367.938 | + | 267.322i | −0.699501 | + | 0.508217i | ||||
\(527\) | 44.3424 | − | 421.890i | 0.0841413 | − | 0.800551i | ||||
\(528\) | 164.010 | − | 771.607i | 0.310625 | − | 1.46138i | ||||
\(529\) | 236.273 | + | 50.2214i | 0.446641 | + | 0.0949365i | ||||
\(530\) | 32.1022 | − | 18.5342i | 0.0605701 | − | 0.0349702i | ||||
\(531\) | 816.115 | − | 1123.29i | 1.53694 | − | 2.11542i | ||||
\(532\) | 36.2627 | + | 40.1107i | 0.0681629 | + | 0.0753960i | ||||
\(533\) | 56.5371 | − | 69.8082i | 0.106073 | − | 0.130972i | ||||
\(534\) | −497.913 | − | 862.410i | −0.932421 | − | 1.61500i | ||||
\(535\) | 0.327719 | + | 0.736069i | 0.000612559 | + | 0.00137583i | ||||
\(536\) | −258.465 | + | 447.674i | −0.482210 | + | 0.835212i | ||||
\(537\) | −360.279 | − | 324.397i | −0.670911 | − | 0.604091i | ||||
\(538\) | −773.523 | + | 251.333i | −1.43778 | + | 0.467162i | ||||
\(539\) | 193.509 | + | 587.482i | 0.359015 | + | 1.08995i | ||||
\(540\) | −132.903 | + | 96.5598i | −0.246117 | + | 0.178814i | ||||
\(541\) | 119.788 | − | 25.4618i | 0.221420 | − | 0.0470643i | −0.0958655 | − | 0.995394i | \(-0.530562\pi\) |
0.317286 | + | 0.948330i | \(0.397229\pi\) | |||||||
\(542\) | −39.1140 | − | 22.5825i | −0.0721661 | − | 0.0416651i | ||||
\(543\) | 73.6063 | + | 81.7480i | 0.135555 | + | 0.150549i | ||||
\(544\) | 97.4849 | + | 458.631i | 0.179200 | + | 0.843071i | ||||
\(545\) | 147.139 | − | 47.8085i | 0.269981 | − | 0.0877220i | ||||
\(546\) | 147.500 | − | 15.8038i | 0.270146 | − | 0.0289448i | ||||
\(547\) | 99.7916 | 0.182434 | 0.0912172 | − | 0.995831i | \(-0.470924\pi\) | ||||
0.0912172 | + | 0.995831i | \(0.470924\pi\) | |||||||
\(548\) | −160.639 | + | 178.407i | −0.293136 | + | 0.325561i | ||||
\(549\) | 157.923 | − | 16.5984i | 0.287656 | − | 0.0302339i | ||||
\(550\) | −280.309 | − | 311.315i | −0.509653 | − | 0.566026i | ||||
\(551\) | −359.041 | − | 37.7368i | −0.651618 | − | 0.0684878i | ||||
\(552\) | 477.456 | + | 657.162i | 0.864957 | + | 1.19051i | ||||
\(553\) | −753.795 | + | 246.606i | −1.36310 | + | 0.445941i | ||||
\(554\) | 351.483 | − | 255.368i | 0.634446 | − | 0.460952i | ||||
\(555\) | 548.014 | + | 243.992i | 0.987413 | + | 0.439624i | ||||
\(556\) | −50.0527 | − | 112.420i | −0.0900229 | − | 0.202195i | ||||
\(557\) | 179.805 | + | 199.693i | 0.322809 | + | 0.358516i | 0.882605 | − | 0.470115i | \(-0.155787\pi\) |
−0.559797 | + | 0.828630i | \(0.689121\pi\) | |||||||
\(558\) | −207.751 | + | 466.617i | −0.372314 | + | 0.836231i | ||||
\(559\) | 157.123 | − | 51.0523i | 0.281078 | − | 0.0913279i | ||||
\(560\) | −188.849 | + | 40.5397i | −0.337231 | + | 0.0723923i | ||||
\(561\) | 1780.82 | + | 1293.84i | 3.17437 | + | 2.30631i | ||||
\(562\) | 61.6133 | − | 68.4285i | 0.109632 | − | 0.121759i | ||||
\(563\) | 783.864 | − | 705.795i | 1.39230 | − | 1.25363i | 0.461975 | − | 0.886893i | \(-0.347141\pi\) |
0.930324 | − | 0.366739i | \(-0.119526\pi\) | |||||||
\(564\) | 182.689 | + | 202.897i | 0.323917 | + | 0.359746i | ||||
\(565\) | −182.660 | + | 105.459i | −0.323293 | + | 0.186653i | ||||
\(566\) | 268.373 | + | 87.1996i | 0.474157 | + | 0.154063i | ||||
\(567\) | −1015.47 | − | 910.632i | −1.79096 | − | 1.60605i | ||||
\(568\) | 725.226 | + | 526.908i | 1.27681 | + | 0.927654i | ||||
\(569\) | 516.719 | − | 573.875i | 0.908119 | − | 1.00857i | −0.0917997 | − | 0.995777i | \(-0.529262\pi\) |
0.999918 | − | 0.0127903i | \(-0.00407139\pi\) | |||||||
\(570\) | −39.8653 | + | 187.551i | −0.0699391 | + | 0.329038i | ||||
\(571\) | 424.412 | − | 735.104i | 0.743279 | − | 1.28740i | −0.207715 | − | 0.978189i | \(-0.566603\pi\) |
0.950994 | − | 0.309208i | \(-0.100064\pi\) | |||||||
\(572\) | −26.2249 | − | 2.75634i | −0.0458477 | − | 0.00481878i | ||||
\(573\) | 1249.02i | 2.17979i | ||||||||
\(574\) | −468.019 | − | 178.608i | −0.815364 | − | 0.311164i | ||||
\(575\) | 322.355 | 0.560618 | ||||||||
\(576\) | 161.367 | − | 1535.30i | 0.280151 | − | 2.66546i | ||||
\(577\) | 199.731 | + | 115.315i | 0.346154 | + | 0.199852i | 0.662990 | − | 0.748628i | \(-0.269287\pi\) |
−0.316836 | + | 0.948480i | \(0.602621\pi\) | |||||||
\(578\) | 1197.25 | + | 254.484i | 2.07137 | + | 0.440284i | ||||
\(579\) | −968.882 | − | 872.385i | −1.67337 | − | 1.50671i | ||||
\(580\) | −61.1009 | + | 84.0982i | −0.105346 | + | 0.144997i | ||||
\(581\) | 89.7144 | + | 18.8802i | 0.154414 | + | 0.0324961i | ||||
\(582\) | −178.027 | + | 547.912i | −0.305889 | + | 0.941430i | ||||
\(583\) | −54.7818 | − | 94.8848i | −0.0939653 | − | 0.162753i | ||||
\(584\) | 212.615 | − | 191.439i | 0.364066 | − | 0.327806i | ||||
\(585\) | −77.8691 | − | 86.4824i | −0.133110 | − | 0.147833i | ||||
\(586\) | −388.841 | − | 350.114i | −0.663551 | − | 0.597464i | ||||
\(587\) | 282.219 | − | 388.441i | 0.480781 | − | 0.661739i | −0.497873 | − | 0.867250i | \(-0.665886\pi\) |
0.978655 | + | 0.205511i | \(0.0658856\pi\) | |||||||
\(588\) | 106.252 | + | 236.078i | 0.180701 | + | 0.401493i | ||||
\(589\) | −33.7507 | − | 103.874i | −0.0573017 | − | 0.176357i | ||||
\(590\) | −249.547 | − | 111.106i | −0.422961 | − | 0.188315i | ||||
\(591\) | −739.109 | + | 665.496i | −1.25061 | + | 1.12605i | ||||
\(592\) | −455.799 | + | 202.935i | −0.769930 | + | 0.342795i | ||||
\(593\) | 187.589 | − | 421.333i | 0.316340 | − | 0.710511i | −0.683471 | − | 0.729978i | \(-0.739530\pi\) |
0.999810 | + | 0.0194673i | \(0.00619703\pi\) | |||||||
\(594\) | −911.967 | − | 1255.22i | −1.53530 | − | 2.11316i | ||||
\(595\) | 110.995 | − | 527.423i | 0.186547 | − | 0.886426i | ||||
\(596\) | 52.0487 | − | 37.8156i | 0.0873300 | − | 0.0634490i | ||||
\(597\) | −116.868 | + | 1111.92i | −0.195758 | + | 1.86252i | ||||
\(598\) | −48.1839 | + | 43.3850i | −0.0805751 | + | 0.0725501i | ||||
\(599\) | 3.36369 | + | 32.0034i | 0.00561551 | + | 0.0534280i | 0.996971 | − | 0.0777767i | \(-0.0247821\pi\) |
−0.991355 | + | 0.131205i | \(0.958115\pi\) | |||||||
\(600\) | −676.961 | − | 609.538i | −1.12827 | − | 1.01590i | ||||
\(601\) | − | 71.8420i | − | 0.119537i | −0.998212 | − | 0.0597687i | \(-0.980964\pi\) | ||
0.998212 | − | 0.0597687i | \(-0.0190363\pi\) | |||||||
\(602\) | −543.020 | − | 744.240i | −0.902026 | − | 1.23628i | ||||
\(603\) | 401.065 | + | 1234.35i | 0.665116 | + | 2.04702i | ||||
\(604\) | −70.3108 | + | 14.9450i | −0.116409 | + | 0.0247434i | ||||
\(605\) | 69.7190 | − | 62.7753i | 0.115238 | − | 0.103761i | ||||
\(606\) | 271.588 | − | 470.405i | 0.448166 | − | 0.776246i | ||||
\(607\) | −87.4085 | − | 411.225i | −0.144001 | − | 0.677471i | −0.989623 | − | 0.143689i | \(-0.954104\pi\) |
0.845622 | − | 0.533782i | \(-0.179230\pi\) | |||||||
\(608\) | 70.9566 | + | 97.6634i | 0.116705 | + | 0.160631i | ||||
\(609\) | −1580.45 | − | 699.845i | −2.59516 | − | 1.14917i | ||||
\(610\) | −9.65393 | − | 29.7117i | −0.0158261 | − | 0.0487078i | ||||
\(611\) | −75.7604 | + | 84.1404i | −0.123994 | + | 0.137709i | ||||
\(612\) | 564.037 | + | 325.647i | 0.921629 | + | 0.532103i | ||||
\(613\) | −701.065 | + | 312.134i | −1.14366 | + | 0.509191i | −0.889031 | − | 0.457847i | \(-0.848621\pi\) |
−0.254632 | + | 0.967038i | \(0.581954\pi\) | |||||||
\(614\) | 442.109 | − | 255.252i | 0.720047 | − | 0.415719i | ||||
\(615\) | 143.845 | + | 536.978i | 0.233895 | + | 0.873135i | ||||
\(616\) | 160.346 | + | 746.952i | 0.260301 | + | 1.21258i | ||||
\(617\) | −73.1196 | − | 53.1245i | −0.118508 | − | 0.0861013i | 0.526952 | − | 0.849895i | \(-0.323335\pi\) |
−0.645461 | + | 0.763793i | \(0.723335\pi\) | |||||||
\(618\) | 702.854 | + | 1217.38i | 1.13730 | + | 1.96987i | ||||
\(619\) | 137.353 | − | 646.197i | 0.221896 | − | 1.04394i | −0.716289 | − | 0.697803i | \(-0.754161\pi\) |
0.938185 | − | 0.346134i | \(-0.112506\pi\) | |||||||
\(620\) | −30.7612 | − | 6.53850i | −0.0496149 | − | 0.0105460i | ||||
\(621\) | 1187.36 | + | 124.797i | 1.91202 | + | 0.200961i | ||||
\(622\) | −483.631 | − | 665.661i | −0.777542 | − | 1.07019i | ||||
\(623\) | 583.909 | + | 422.437i | 0.937254 | + | 0.678070i | ||||
\(624\) | 136.921 | 0.219424 | ||||||||
\(625\) | −207.202 | + | 44.0421i | −0.331523 | + | 0.0704674i | ||||
\(626\) | −389.168 | + | 350.408i | −0.621674 | + | 0.559758i | ||||
\(627\) | 554.348 | + | 117.830i | 0.884128 | + | 0.187927i | ||||
\(628\) | 109.251 | + | 11.4828i | 0.173967 | + | 0.0182847i | ||||
\(629\) | − | 1392.24i | − | 2.21342i | ||||||
\(630\) | −323.343 | + | 562.665i | −0.513243 | + | 0.893119i | ||||
\(631\) | 776.099 | − | 563.869i | 1.22995 | − | 0.893611i | 0.233064 | − | 0.972461i | \(-0.425125\pi\) |
0.996886 | + | 0.0788504i | \(0.0251249\pi\) | |||||||
\(632\) | −958.188 | + | 203.669i | −1.51612 | + | 0.322261i | ||||
\(633\) | 101.903 | + | 228.877i | 0.160984 | + | 0.361575i | ||||
\(634\) | −57.9183 | − | 551.056i | −0.0913537 | − | 0.869173i | ||||
\(635\) | 40.7187 | − | 91.4557i | 0.0641239 | − | 0.144025i | ||||
\(636\) | −26.9546 | − | 37.0998i | −0.0423814 | − | 0.0583330i | ||||
\(637\) | −92.7584 | + | 54.0544i | −0.145618 | + | 0.0848578i | ||||
\(638\) | −794.273 | − | 577.073i | −1.24494 | − | 0.904503i | ||||
\(639\) | 2201.52 | − | 467.947i | 3.44525 | − | 0.732311i | ||||
\(640\) | −157.024 | + | 16.5039i | −0.245350 | + | 0.0257874i | ||||
\(641\) | −663.417 | − | 141.014i | −1.03497 | − | 0.219990i | −0.341053 | − | 0.940044i | \(-0.610784\pi\) |
−0.693918 | + | 0.720054i | \(0.744117\pi\) | |||||||
\(642\) | −2.75836 | + | 1.59254i | −0.00429650 | + | 0.00248059i | ||||
\(643\) | −574.765 | + | 791.096i | −0.893880 | + | 1.23032i | 0.0784992 | + | 0.996914i | \(0.474987\pi\) |
−0.972379 | + | 0.233406i | \(0.925013\pi\) | |||||||
\(644\) | −98.1077 | − | 56.3789i | −0.152341 | − | 0.0875448i | ||||
\(645\) | −315.932 | + | 972.339i | −0.489817 | + | 1.50750i | ||||
\(646\) | 435.284 | − | 92.5225i | 0.673814 | − | 0.143224i | ||||
\(647\) | −436.779 | − | 252.175i | −0.675084 | − | 0.389760i | 0.122916 | − | 0.992417i | \(-0.460775\pi\) |
−0.798000 | + | 0.602657i | \(0.794109\pi\) | |||||||
\(648\) | −1127.28 | − | 1251.97i | −1.73963 | − | 1.93206i | ||||
\(649\) | −328.396 | + | 737.590i | −0.506004 | + | 1.13650i | ||||
\(650\) | 42.7388 | − | 58.8249i | 0.0657520 | − | 0.0904998i | ||||
\(651\) | −1.05522 | − | 522.916i | −0.00162091 | − | 0.803251i | ||||
\(652\) | 5.94600 | + | 18.2999i | 0.00911963 | + | 0.0280673i | ||||
\(653\) | 396.032 | + | 685.948i | 0.606481 | + | 1.05046i | 0.991816 | + | 0.127679i | \(0.0407528\pi\) |
−0.385334 | + | 0.922777i | \(0.625914\pi\) | |||||||
\(654\) | 248.752 | + | 558.707i | 0.380355 | + | 0.854291i | ||||
\(655\) | −191.313 | + | 331.364i | −0.292081 | + | 0.505899i | ||||
\(656\) | −411.958 | − | 209.937i | −0.627985 | − | 0.320026i | ||||
\(657\) | − | 718.325i | − | 1.09334i | ||||||
\(658\) | 577.313 | + | 255.641i | 0.877375 | + | 0.388513i | ||||
\(659\) | 375.856 | 0.570343 | 0.285172 | − | 0.958476i | \(-0.407949\pi\) | ||||
0.285172 | + | 0.958476i | \(0.407949\pi\) | |||||||
\(660\) | 109.191 | − | 121.269i | 0.165441 | − | 0.183741i | ||||
\(661\) | 10.4337 | − | 49.0869i | 0.0157848 | − | 0.0742616i | −0.969550 | − | 0.244893i | \(-0.921247\pi\) |
0.985335 | + | 0.170631i | \(0.0545806\pi\) | |||||||
\(662\) | 470.706 | − | 209.572i | 0.711036 | − | 0.316574i | ||||
\(663\) | −155.401 | + | 349.036i | −0.234390 | + | 0.526450i | ||||
\(664\) | 107.694 | + | 34.9920i | 0.162190 | + | 0.0526987i | ||||
\(665\) | −29.1251 | − | 135.676i | −0.0437971 | − | 0.204024i | ||||
\(666\) | −518.014 | + | 1594.28i | −0.777798 | + | 2.39382i | ||||
\(667\) | 738.967 | − | 157.072i | 1.10790 | − | 0.235491i | ||||
\(668\) | 49.8657 | − | 234.600i | 0.0746493 | − | 0.351197i | ||||
\(669\) | 363.561 | − | 161.868i | 0.543440 | − | 0.241955i | ||||
\(670\) | 221.133 | − | 127.671i | 0.330049 | − | 0.190554i | ||||
\(671\) | −87.8194 | + | 28.5343i | −0.130878 | + | 0.0425250i | ||||
\(672\) | 179.712 | + | 549.322i | 0.267428 | + | 0.817444i | ||||
\(673\) | −35.5708 | + | 109.476i | −0.0528541 | + | 0.162668i | −0.973999 | − | 0.226551i | \(-0.927255\pi\) |
0.921145 | + | 0.389219i | \(0.127255\pi\) | |||||||
\(674\) | −9.36601 | + | 89.1117i | −0.0138962 | + | 0.132213i | ||||
\(675\) | −1331.55 | + | 139.952i | −1.97267 | + | 0.207336i | ||||
\(676\) | 16.3643 | + | 155.696i | 0.0242075 | + | 0.230319i | ||||
\(677\) | −248.631 | + | 558.434i | −0.367254 | + | 0.824865i | 0.631520 | + | 0.775359i | \(0.282431\pi\) |
−0.998774 | + | 0.0495058i | \(0.984235\pi\) | |||||||
\(678\) | −490.076 | − | 674.531i | −0.722825 | − | 0.994884i | ||||
\(679\) | −44.4188 | − | 414.567i | −0.0654179 | − | 0.610556i | ||||
\(680\) | 205.715 | − | 633.125i | 0.302522 | − | 0.931066i | ||||
\(681\) | 684.168 | + | 304.611i | 1.00465 | + | 0.447300i | ||||
\(682\) | 61.7535 | − | 290.527i | 0.0905476 | − | 0.425993i | ||||
\(683\) | −101.998 | + | 176.666i | −0.149339 | + | 0.258662i | −0.930983 | − | 0.365062i | \(-0.881048\pi\) |
0.781644 | + | 0.623724i | \(0.214381\pi\) | |||||||
\(684\) | 166.766 | + | 17.5278i | 0.243810 | + | 0.0256254i | ||||
\(685\) | 585.940 | − | 190.384i | 0.855388 | − | 0.277932i | ||||
\(686\) | 447.328 | + | 397.899i | 0.652081 | + | 0.580027i | ||||
\(687\) | −319.050 | + | 981.935i | −0.464410 | + | 1.42931i | ||||
\(688\) | −425.170 | − | 736.416i | −0.617979 | − | 1.07037i | ||||
\(689\) | 14.1324 | − | 12.7249i | 0.0205115 | − | 0.0184686i | ||||
\(690\) | −41.9412 | − | 399.044i | −0.0607844 | − | 0.578325i | ||||
\(691\) | −24.1524 | − | 2.53852i | −0.0349529 | − | 0.00367369i | 0.0870359 | − | 0.996205i | \(-0.472261\pi\) |
−0.121989 | + | 0.992531i | \(0.538927\pi\) | |||||||
\(692\) | 29.8529 | − | 9.69981i | 0.0431401 | − | 0.0140171i | ||||
\(693\) | 1663.08 | + | 955.709i | 2.39982 | + | 1.37909i | ||||
\(694\) | 825.804 | 1.18992 | ||||||||
\(695\) | −33.0109 | + | 314.078i | −0.0474977 | + | 0.451910i | ||||
\(696\) | −1848.87 | − | 1067.45i | −2.65642 | − | 1.53369i | ||||
\(697\) | 1002.73 | − | 811.885i | 1.43863 | − | 1.16483i | ||||
\(698\) | 261.890 | − | 151.202i | 0.375200 | − | 0.216622i | ||||
\(699\) | −1155.58 | + | 1590.52i | −1.65319 | + | 2.27542i | ||||
\(700\) | 120.763 | + | 38.9690i | 0.172518 | + | 0.0556699i | ||||
\(701\) | 32.1645 | + | 98.9923i | 0.0458838 | + | 0.141216i | 0.971374 | − | 0.237556i | \(-0.0763464\pi\) |
−0.925490 | + | 0.378772i | \(0.876346\pi\) | |||||||
\(702\) | 180.198 | − | 200.130i | 0.256692 | − | 0.285085i | ||||
\(703\) | −145.795 | − | 327.461i | −0.207390 | − | 0.465805i | ||||
\(704\) | 93.8355 | + | 892.785i | 0.133289 | + | 1.26816i | ||||
\(705\) | −145.676 | − | 685.353i | −0.206633 | − | 0.972131i | ||||
\(706\) | 160.061i | 0.226716i | ||||||||
\(707\) | −40.3018 | + | 391.035i | −0.0570040 | + | 0.553091i | ||||
\(708\) | −104.428 | + | 321.395i | −0.147497 | + | 0.453948i | ||||
\(709\) | −655.308 | + | 727.794i | −0.924271 | + | 1.02651i | 0.0752981 | + | 0.997161i | \(0.476009\pi\) |
−0.999569 | + | 0.0293461i | \(0.990657\pi\) | |||||||
\(710\) | −180.103 | − | 404.518i | −0.253666 | − | 0.569743i | ||||
\(711\) | −1229.75 | + | 2129.99i | −1.72961 | + | 2.99577i | ||||
\(712\) | 661.515 | + | 595.631i | 0.929094 | + | 0.836560i | ||||
\(713\) | 134.341 | + | 184.905i | 0.188417 | + | 0.259334i | ||||
\(714\) | 2119.37 | + | 218.431i | 2.96830 | + | 0.305926i | ||||
\(715\) | 54.7475 | + | 39.7764i | 0.0765699 | + | 0.0556313i | ||||
\(716\) | 76.2013 | + | 33.9270i | 0.106426 | + | 0.0473841i | ||||
\(717\) | −140.914 | + | 14.8107i | −0.196533 | + | 0.0206564i | ||||
\(718\) | −79.9578 | − | 760.747i | −0.111362 | − | 1.05954i | ||||
\(719\) | 374.599 | − | 841.364i | 0.521000 | − | 1.17019i | −0.441092 | − | 0.897462i | \(-0.645409\pi\) |
0.962092 | − | 0.272724i | \(-0.0879245\pi\) | |||||||
\(720\) | −352.073 | + | 484.587i | −0.488990 | + | 0.673037i | ||||
\(721\) | −824.247 | − | 596.313i | −1.14320 | − | 0.827063i | ||||
\(722\) | −417.073 | + | 303.022i | −0.577664 | + | 0.419697i | ||||
\(723\) | −366.736 | + | 407.302i | −0.507243 | + | 0.563350i | ||||
\(724\) | −16.3908 | − | 9.46325i | −0.0226393 | − | 0.0130708i | ||||
\(725\) | −773.973 | + | 344.595i | −1.06755 | + | 0.475304i | ||||
\(726\) | 275.602 | + | 248.153i | 0.379617 | + | 0.341808i | ||||
\(727\) | −1208.39 | − | 392.631i | −1.66216 | − | 0.540070i | −0.680840 | − | 0.732432i | \(-0.738385\pi\) |
−0.981324 | + | 0.192363i | \(0.938385\pi\) | |||||||
\(728\) | −121.030 | + | 54.1788i | −0.166249 | + | 0.0744214i | ||||
\(729\) | −717.820 | −0.984664 | ||||||||
\(730\) | −138.234 | + | 29.3826i | −0.189362 | + | 0.0402501i | ||||
\(731\) | 2359.81 | − | 248.026i | 3.22820 | − | 0.339297i | ||||
\(732\) | −35.3071 | + | 15.7197i | −0.0482337 | + | 0.0214750i | ||||
\(733\) | 292.927 | + | 263.752i | 0.399627 | + | 0.359826i | 0.844303 | − | 0.535866i | \(-0.180015\pi\) |
−0.444676 | + | 0.895691i | \(0.646681\pi\) | |||||||
\(734\) | −208.687 | + | 67.8066i | −0.284315 | + | 0.0923796i | ||||
\(735\) | 66.7795 | − | 661.017i | 0.0908565 | − | 0.899343i | ||||
\(736\) | −204.372 | − | 148.485i | −0.277680 | − | 0.201746i | ||||
\(737\) | −377.359 | − | 653.605i | −0.512021 | − | 0.886846i | ||||
\(738\) | −1450.32 | + | 556.619i | −1.96521 | + | 0.754226i | ||||
\(739\) | −174.038 | + | 301.443i | −0.235505 | + | 0.407906i | −0.959419 | − | 0.281983i | \(-0.909008\pi\) |
0.723914 | + | 0.689890i | \(0.242341\pi\) | |||||||
\(740\) | −102.646 | − | 10.7885i | −0.138711 | − | 0.0145791i | ||||
\(741\) | 98.3685i | 0.132751i | ||||||||
\(742\) | −91.9473 | − | 52.8387i | −0.123918 | − | 0.0712112i | ||||
\(743\) | −80.5552 | − | 247.923i | −0.108419 | − | 0.333679i | 0.882099 | − | 0.471064i | \(-0.156130\pi\) |
−0.990518 | + | 0.137386i | \(0.956130\pi\) | |||||||
\(744\) | 67.5120 | − | 642.334i | 0.0907420 | − | 0.863352i | ||||
\(745\) | −164.201 | + | 17.2582i | −0.220403 | + | 0.0231653i | ||||
\(746\) | 191.597 | + | 212.790i | 0.256833 | + | 0.285242i | ||||
\(747\) | 246.217 | − | 142.154i | 0.329608 | − | 0.190299i | ||||
\(748\) | −360.193 | − | 117.034i | −0.481542 | − | 0.156462i | ||||
\(749\) | 1.35113 | − | 1.86759i | 0.00180392 | − | 0.00249345i | ||||
\(750\) | 321.878 | + | 990.640i | 0.429171 | + | 1.32085i | ||||
\(751\) | 69.8986 | − | 665.041i | 0.0930741 | − | 0.885541i | −0.843984 | − | 0.536368i | \(-0.819796\pi\) |
0.937058 | − | 0.349173i | \(-0.113537\pi\) | |||||||
\(752\) | 504.686 | + | 291.381i | 0.671125 | + | 0.387474i | ||||
\(753\) | −158.838 | − | 33.7620i | −0.210940 | − | 0.0448366i | ||||
\(754\) | 69.3111 | − | 155.675i | 0.0919245 | − | 0.206466i | ||||
\(755\) | 175.441 | + | 57.0044i | 0.232373 | + | 0.0755025i | ||||
\(756\) | 429.731 | + | 190.291i | 0.568427 | + | 0.251707i | ||||
\(757\) | 94.3406 | − | 68.5424i | 0.124624 | − | 0.0905448i | −0.523727 | − | 0.851886i | \(-0.675459\pi\) |
0.648351 | + | 0.761341i | \(0.275459\pi\) | |||||||
\(758\) | 876.663 | + | 390.316i | 1.15655 | + | 0.514928i | ||||
\(759\) | −1179.46 | + | 123.966i | −1.55397 | + | 0.163328i | ||||
\(760\) | −17.9157 | − | 170.456i | −0.0235733 | − | 0.224285i | ||||
\(761\) | 27.2338 | + | 2.86238i | 0.0357868 | + | 0.00376135i | 0.122405 | − | 0.992480i | \(-0.460939\pi\) |
−0.0866181 | + | 0.996242i | \(0.527606\pi\) | |||||||
\(762\) | 376.372 | + | 122.291i | 0.493927 | + | 0.160487i | ||||
\(763\) | −329.522 | − | 295.501i | −0.431876 | − | 0.387288i | ||||
\(764\) | −66.4076 | − | 204.381i | −0.0869209 | − | 0.267515i | ||||
\(765\) | −835.709 | − | 1447.49i | −1.09243 | − | 1.89214i | ||||
\(766\) | −122.972 | − | 276.199i | −0.160538 | − | 0.360573i | ||||
\(767\) | −137.078 | − | 29.1368i | −0.178719 | − | 0.0379880i | ||||
\(768\) | 197.974 | + | 931.392i | 0.257778 | + | 1.21275i | ||||
\(769\) | −400.936 | − | 130.272i | −0.521373 | − | 0.169405i | 0.0364951 | − | 0.999334i | \(-0.488381\pi\) |
−0.557869 | + | 0.829929i | \(0.688381\pi\) | |||||||
\(770\) | 115.889 | − | 359.135i | 0.150505 | − | 0.466408i | ||||
\(771\) | −229.615 | + | 706.681i | −0.297814 | + | 0.916577i | ||||
\(772\) | 204.925 | + | 91.2383i | 0.265446 | + | 0.118184i | ||||
\(773\) | 151.113 | + | 339.405i | 0.195489 | + | 0.439075i | 0.984519 | − | 0.175280i | \(-0.0560831\pi\) |
−0.789030 | + | 0.614355i | \(0.789416\pi\) | |||||||
\(774\) | −2794.56 | − | 594.001i | −3.61054 | − | 0.767444i | ||||
\(775\) | −190.476 | − | 171.505i | −0.245775 | − | 0.221297i | ||||
\(776\) | − | 514.976i | − | 0.663629i | ||||||
\(777\) | −182.833 | − | 1706.41i | −0.235306 | − | 2.19615i | ||||
\(778\) | −144.467 | −0.185691 | ||||||||
\(779\) | 150.826 | − | 295.964i | 0.193615 | − | 0.379929i | ||||
\(780\) | 24.5293 | + | 14.1620i | 0.0314478 | + | 0.0181564i | ||||
\(781\) | −1195.64 | + | 532.333i | −1.53091 | + | 0.681604i | ||||
\(782\) | −806.472 | + | 465.617i | −1.03129 | + | 0.595418i | ||||
\(783\) | −2984.26 | + | 969.645i | −3.81132 | + | 1.23837i | ||||
\(784\) | 371.406 | + | 409.155i | 0.473732 | + | 0.521881i | ||||
\(785\) | −228.075 | − | 165.706i | −0.290541 | − | 0.211091i | ||||
\(786\) | −1381.77 | − | 615.204i | −1.75798 | − | 0.782702i | ||||
\(787\) | −169.900 | + | 152.979i | −0.215883 | + | 0.194382i | −0.769976 | − | 0.638073i | \(-0.779732\pi\) |
0.554093 | + | 0.832455i | \(0.313065\pi\) | |||||||
\(788\) | 85.5601 | − | 148.194i | 0.108579 | − | 0.188064i | ||||
\(789\) | −300.202 | − | 1412.34i | −0.380484 | − | 1.79004i | ||||
\(790\) | 460.197 | + | 149.527i | 0.582528 | + | 0.189275i | ||||
\(791\) | 523.177 | + | 300.651i | 0.661413 | + | 0.380089i | ||||
\(792\) | 1916.67 | + | 1392.55i | 2.42004 | + | 1.75826i | ||||
\(793\) | −8.01367 | − | 13.8801i | −0.0101055 | − | 0.0175033i | ||||
\(794\) | 39.6452 | − | 186.516i | 0.0499310 | − | 0.234907i | ||||
\(795\) | 12.3014 | + | 117.040i | 0.0154735 | + | 0.147221i | ||||
\(796\) | −39.9950 | − | 188.161i | −0.0502449 | − | 0.236384i | ||||
\(797\) | −124.224 | + | 170.979i | −0.155864 | + | 0.214528i | −0.879807 | − | 0.475332i | \(-0.842328\pi\) |
0.723943 | + | 0.689860i | \(0.242328\pi\) | |||||||
\(798\) | 521.359 | − | 170.564i | 0.653332 | − | 0.213739i | ||||
\(799\) | −1315.59 | + | 955.830i | −1.64654 | + | 1.19628i | ||||
\(800\) | 258.803 | + | 115.227i | 0.323504 | + | 0.144033i | ||||
\(801\) | 2222.71 | − | 233.616i | 2.77491 | − | 0.291655i | ||||
\(802\) | −749.761 | + | 333.815i | −0.934864 | + | 0.416228i | ||||
\(803\) | 86.8465 | + | 408.581i | 0.108153 | + | 0.508818i | ||||
\(804\) | −185.674 | − | 255.559i | −0.230938 | − | 0.317859i | ||||
\(805\) | 145.700 | + | 251.188i | 0.180994 | + | 0.312035i | ||||
\(806\) | 51.5537 | 0.0639624 | ||||||||
\(807\) | 269.910 | − | 2568.03i | 0.334461 | − | 3.18219i | ||||
\(808\) | −100.949 | + | 474.929i | −0.124937 | + | 0.587783i | ||||
\(809\) | 689.862 | + | 766.170i | 0.852735 | + | 0.947058i | 0.999110 | − | 0.0421712i | \(-0.0134275\pi\) |
−0.146376 | + | 0.989229i | \(0.546761\pi\) | |||||||
\(810\) | 173.018 | + | 813.986i | 0.213603 | + | 1.00492i | ||||
\(811\) | − | 630.065i | − | 0.776899i | −0.921470 | − | 0.388450i | \(-0.873011\pi\) | ||
0.921470 | − | 0.388450i | \(-0.126989\pi\) | |||||||
\(812\) | 295.825 | + | 30.4890i | 0.364316 | + | 0.0375480i | ||||
\(813\) | 116.005 | − | 84.2827i | 0.142688 | − | 0.103669i | ||||
\(814\) | 101.893 | − | 969.450i | 0.125176 | − | 1.19097i | ||||
\(815\) | 10.2667 | − | 48.3008i | 0.0125971 | − | 0.0592648i | ||||
\(816\) | 1923.55 | + | 408.864i | 2.35730 | + | 0.501059i | ||||
\(817\) | 529.066 | − | 305.456i | 0.647571 | − | 0.373876i | ||||
\(818\) | −476.610 | + | 655.997i | −0.582653 | + | 0.801953i | ||||
\(819\) | −102.242 | + | 316.843i | −0.124838 | + | 0.386866i | ||||
\(820\) | −52.0879 | − | 80.2198i | −0.0635218 | − | 0.0978290i | ||||
\(821\) | 609.033 | + | 1054.88i | 0.741818 | + | 1.28487i | 0.951667 | + | 0.307132i | \(0.0993695\pi\) |
−0.209849 | + | 0.977734i | \(0.567297\pi\) | |||||||
\(822\) | 990.584 | + | 2224.89i | 1.20509 | + | 2.70668i | ||||
\(823\) | 549.069 | − | 951.015i | 0.667155 | − | 1.15555i | −0.311541 | − | 0.950233i | \(-0.600845\pi\) |
0.978696 | − | 0.205314i | \(-0.0658216\pi\) | |||||||
\(824\) | −933.794 | − | 840.792i | −1.13325 | − | 1.02038i | ||||
\(825\) | 1264.88 | − | 410.985i | 1.53319 | − | 0.498164i | ||||
\(826\) | 83.2560 | + | 777.041i | 0.100794 | + | 0.940728i | ||||
\(827\) | −686.703 | + | 498.919i | −0.830355 | + | 0.603288i | −0.919660 | − | 0.392716i | \(-0.871535\pi\) |
0.0893051 | + | 0.996004i | \(0.471535\pi\) | |||||||
\(828\) | −343.232 | + | 72.9562i | −0.414531 | + | 0.0881113i | ||||
\(829\) | −627.536 | − | 362.308i | −0.756979 | − | 0.437042i | 0.0712310 | − | 0.997460i | \(-0.477307\pi\) |
−0.828210 | + | 0.560418i | \(0.810641\pi\) | |||||||
\(830\) | −37.4273 | − | 41.5672i | −0.0450931 | − | 0.0500810i | ||||
\(831\) | 286.777 | + | 1349.18i | 0.345098 | + | 1.62356i | ||||
\(832\) | −148.189 | + | 48.1496i | −0.178112 | + | 0.0578721i | ||||
\(833\) | −1464.54 | + | 482.403i | −1.75816 | + | 0.579115i | ||||
\(834\) | −1248.40 | −1.49688 | ||||||||
\(835\) | −411.853 | + | 457.409i | −0.493237 | + | 0.547795i | ||||
\(836\) | −96.9749 | + | 10.1925i | −0.115999 | + | 0.0121920i | ||||
\(837\) | −635.202 | − | 705.463i | −0.758903 | − | 0.842848i | ||||
\(838\) | −655.848 | − | 68.9324i | −0.782635 | − | 0.0822582i | ||||
\(839\) | 363.468 | + | 500.271i | 0.433216 | + | 0.596270i | 0.968688 | − | 0.248283i | \(-0.0798662\pi\) |
−0.535472 | + | 0.844553i | \(0.679866\pi\) | |||||||
\(840\) | 168.992 | − | 803.010i | 0.201181 | − | 0.955964i | ||||
\(841\) | −925.964 | + | 672.752i | −1.10103 | + | 0.799943i | ||||
\(842\) | −123.676 | − | 55.0641i | −0.146884 | − | 0.0653968i | ||||
\(843\) | 118.904 | + | 267.062i | 0.141048 | + | 0.316799i | ||||
\(844\) | −28.8436 | − | 32.0341i | −0.0341749 | − | 0.0379550i | ||||
\(845\) | 163.412 | − | 367.029i | 0.193387 | − | 0.434353i | ||||
\(846\) | 1862.14 | − | 605.047i | 2.20112 | − | 0.715186i | ||||
\(847\) | −255.428 | − | 82.4240i | −0.301567 | − | 0.0973128i | ||||
\(848\) | −79.1882 | − | 57.5336i | −0.0933823 | − | 0.0678462i | ||||
\(849\) | −599.461 | + | 665.769i | −0.706079 | + | 0.784180i | ||||
\(850\) | 776.081 | − | 698.787i | 0.913037 | − | 0.822102i | ||||
\(851\) | 501.916 | + | 557.434i | 0.589795 | + | 0.655034i | ||||
\(852\) | −474.404 | + | 273.897i | −0.556812 | + | 0.321476i | ||||
\(853\) | −1180.49 | − | 383.565i | −1.38393 | − | 0.449665i | −0.479969 | − | 0.877285i | \(-0.659352\pi\) |
−0.903959 | + | 0.427620i | \(0.859352\pi\) | |||||||
\(854\) | −59.6702 | + | 66.5400i | −0.0698714 | + | 0.0779157i | ||||
\(855\) | −348.143 | − | 252.941i | −0.407185 | − | 0.295837i | ||||
\(856\) | 1.90508 | − | 2.11581i | 0.00222556 | − | 0.00247174i | ||||
\(857\) | 263.923 | − | 1241.66i | 0.307961 | − | 1.44884i | −0.503276 | − | 0.864126i | \(-0.667872\pi\) |
0.811237 | − | 0.584717i | \(-0.198795\pi\) | |||||||
\(858\) | −133.754 | + | 231.669i | −0.155891 | + | 0.270011i | ||||
\(859\) | 1414.73 | + | 148.695i | 1.64696 | + | 0.173102i | 0.882088 | − | 0.471085i | \(-0.156138\pi\) |
0.764868 | + | 0.644187i | \(0.222804\pi\) | |||||||
\(860\) | − | 175.905i | − | 0.204540i | ||||||
\(861\) | 1122.38 | − | 1126.77i | 1.30358 | − | 1.30868i | ||||
\(862\) | −1326.39 | −1.53874 | ||||||||
\(863\) | −143.762 | + | 1367.80i | −0.166584 | + | 1.58494i | 0.517594 | + | 0.855627i | \(0.326828\pi\) |
−0.684178 | + | 0.729315i | \(0.739839\pi\) | |||||||
\(864\) | 908.668 | + | 524.620i | 1.05170 | + | 0.607199i | ||||
\(865\) | −78.7940 | − | 16.7482i | −0.0910913 | − | 0.0193621i | ||||
\(866\) | −443.137 | − | 399.003i | −0.511706 | − | 0.460742i | ||||
\(867\) | −2284.12 | + | 3143.82i | −2.63451 | + | 3.62609i | ||||
\(868\) | 27.9750 | + | 85.5106i | 0.0322292 | + | 0.0985146i | ||||
\(869\) | 441.960 | − | 1360.21i | 0.508584 | − | 1.56526i | ||||
\(870\) | 527.276 | + | 913.268i | 0.606064 | + | 1.04973i | ||||
\(871\) | 97.3500 | − | 87.6543i | 0.111768 | − | 0.100636i | ||||
\(872\) | −365.803 | − | 406.265i | −0.419499 | − | 0.465901i | ||||
\(873\) | −960.865 | − | 865.167i | −1.10065 | − | 0.991027i | ||||
\(874\) | −140.927 | + | 193.969i | −0.161243 | + | 0.221932i | ||||
\(875\) | −505.546 | − | 559.193i | −0.577767 | − | 0.639077i | ||||
\(876\) | 54.0261 | + | 166.275i | 0.0616736 | + | 0.189812i | ||||
\(877\) | 626.141 | + | 278.776i | 0.713958 | + | 0.317875i | 0.731377 | − | 0.681974i | \(-0.238878\pi\) |
−0.0174185 | + | 0.999848i | \(0.505545\pi\) | |||||||
\(878\) | −286.411 | + | 257.886i | −0.326209 | + | 0.293720i | ||||
\(879\) | 1517.56 | − | 675.663i | 1.72647 | − | 0.768672i | ||||
\(880\) | 141.671 | − | 318.197i | 0.160989 | − | 0.361588i | ||||
\(881\) | −981.081 | − | 1350.34i | −1.11360 | − | 1.53274i | −0.816004 | − | 0.578046i | \(-0.803815\pi\) |
−0.297595 | − | 0.954692i | \(-0.596185\pi\) | |||||||
\(882\) | 1856.57 | − | 7.49293i | 2.10495 | − | 0.00849539i | ||||
\(883\) | −357.385 | + | 259.655i | −0.404739 | + | 0.294060i | −0.771469 | − | 0.636267i | \(-0.780477\pi\) |
0.366729 | + | 0.930328i | \(0.380477\pi\) | |||||||
\(884\) | 6.87134 | − | 65.3764i | 0.00777301 | − | 0.0739552i | ||||
\(885\) | 644.487 | − | 580.299i | 0.728234 | − | 0.655705i | ||||
\(886\) | −84.8628 | − | 807.416i | −0.0957820 | − | 0.911305i | ||||
\(887\) | −453.489 | − | 408.323i | −0.511261 | − | 0.460342i | 0.372666 | − | 0.927965i | \(-0.378444\pi\) |
−0.883928 | + | 0.467624i | \(0.845110\pi\) | |||||||
\(888\) | − | 2119.70i | − | 2.38705i | ||||||
\(889\) | −284.775 | + | 30.5122i | −0.320332 | + | 0.0343219i | ||||
\(890\) | −135.875 | − | 418.181i | −0.152669 | − | 0.469866i | ||||
\(891\) | 2405.91 | − | 511.392i | 2.70024 | − | 0.573953i | ||||
\(892\) | −50.8847 | + | 45.8168i | −0.0570456 | + | 0.0513641i | ||||
\(893\) | −209.338 | + | 362.584i | −0.234421 | + | 0.406029i | ||||
\(894\) | −135.697 | − | 638.404i | −0.151786 | − | 0.714098i | ||||
\(895\) | −125.823 | − | 173.180i | −0.140584 | − | 0.193497i | ||||
\(896\) | 266.241 | + | 364.899i | 0.297144 | + | 0.407253i | ||||
\(897\) | −63.6105 | − | 195.773i | −0.0709147 | − | 0.218253i | ||||
\(898\) | −8.72421 | + | 9.68922i | −0.00971516 | + | 0.0107898i | ||||
\(899\) | −520.215 | − | 300.346i | −0.578660 | − | 0.334089i | ||||
\(900\) | 359.491 | − | 160.056i | 0.399435 | − | 0.177840i | ||||
\(901\) | 236.540 | − | 136.566i | 0.262530 | − | 0.151572i | ||||
\(902\) | 757.643 | − | 491.949i | 0.839959 | − | 0.545398i | ||||
\(903\) | 2859.75 | − | 613.893i | 3.16695 | − | 0.679838i | ||||
\(904\) | 602.955 | + | 438.072i | 0.666986 | + | 0.484593i | ||||
\(905\) | 24.2856 | + | 42.0638i | 0.0268349 | + | 0.0464794i | ||||
\(906\) | −151.613 | + | 713.282i | −0.167343 | + | 0.787287i | ||||
\(907\) | −70.0808 | − | 14.8961i | −0.0772665 | − | 0.0164235i | 0.169116 | − | 0.985596i | \(-0.445909\pi\) |
−0.246383 | + | 0.969173i | \(0.579242\pi\) | |||||||
\(908\) | −128.148 | − | 13.4689i | −0.141133 | − | 0.0148336i | ||||
\(909\) | 716.547 | + | 986.242i | 0.788280 | + | 1.08497i | ||||
\(910\) | 65.1553 | + | 6.71520i | 0.0715993 | + | 0.00737934i | ||||
\(911\) | 1674.88 | 1.83850 | 0.919251 | − | 0.393671i | \(-0.128795\pi\) | ||||
0.919251 | + | 0.393671i | \(0.128795\pi\) | |||||||
\(912\) | 495.245 | − | 105.268i | 0.543031 | − | 0.115425i | ||||
\(913\) | −122.861 | + | 110.624i | −0.134568 | + | 0.121166i | ||||
\(914\) | −31.2025 | − | 6.63229i | −0.0341384 | − | 0.00725634i | ||||
\(915\) | 98.6403 | + | 10.3675i | 0.107804 | + | 0.0113306i | ||||
\(916\) | − | 177.641i | − | 0.193931i | ||||||
\(917\) | 1094.65 | − | 2.20893i | 1.19373 | − | 0.00240887i | ||||
\(918\) | 3129.15 | − | 2273.46i | 3.40866 | − | 2.47654i | ||||
\(919\) | 123.280 | − | 26.2040i | 0.134146 | − | 0.0285136i | −0.140349 | − | 0.990102i | \(-0.544823\pi\) |
0.274495 | + | 0.961588i | \(0.411489\pi\) | |||||||
\(920\) | 145.882 | + | 327.657i | 0.158568 | + | 0.356149i | ||||
\(921\) | 169.415 | + | 1611.87i | 0.183946 | + | 1.75013i | ||||
\(922\) | 384.808 | − | 864.293i | 0.417362 | − | 0.937411i | ||||
\(923\) | −133.526 | − | 183.783i | −0.144665 | − | 0.199115i | ||||
\(924\) | −456.843 | − | 96.1419i | −0.494419 | − | 0.104050i | ||||
\(925\) | −680.538 | − | 494.440i | −0.735717 | − | 0.534530i | ||||
\(926\) | 1331.77 | − | 283.076i | 1.43819 | − | 0.305697i | ||||
\(927\) | −3137.57 | + | 329.772i | −3.38465 | + | 0.355741i | ||||
\(928\) | 649.427 | + | 138.040i | 0.699813 | + | 0.148750i | ||||
\(929\) | −268.973 | + | 155.291i | −0.289529 | + | 0.167160i | −0.637729 | − | 0.770260i | \(-0.720126\pi\) |
0.348200 | + | 0.937420i | \(0.386793\pi\) | |||||||
\(930\) | −187.524 | + | 258.105i | −0.201639 | + | 0.277532i | ||||
\(931\) | −293.950 | + | 266.830i | −0.315736 | + | 0.286606i | ||||
\(932\) | 104.527 | − | 321.702i | 0.112154 | − | 0.345174i | ||||
\(933\) | 2555.16 | − | 543.116i | 2.73865 | − | 0.582118i | ||||
\(934\) | −337.669 | − | 194.953i | −0.361530 | − | 0.208730i | ||||
\(935\) | 650.351 | + | 722.289i | 0.695563 | + | 0.772501i | ||||
\(936\) | −167.256 | + | 375.663i | −0.178692 | + | 0.401349i | ||||
\(937\) | −65.7790 | + | 90.5370i | −0.0702017 | + | 0.0966244i | −0.842674 | − | 0.538424i | \(-0.819020\pi\) |
0.772472 | + | 0.635048i | \(0.219020\pi\) | |||||||
\(938\) | −633.371 | − | 363.975i | −0.675236 | − | 0.388033i | ||||
\(939\) | −513.764 | − | 1581.20i | −0.547140 | − | 1.68392i | ||||
\(940\) | 60.2762 | + | 104.402i | 0.0641237 | + | 0.111065i | ||||
\(941\) | 297.410 | + | 667.994i | 0.316057 | + | 0.709876i | 0.999803 | − | 0.0198439i | \(-0.00631694\pi\) |
−0.683746 | + | 0.729720i | \(0.739650\pi\) | |||||||
\(942\) | 557.213 | − | 965.121i | 0.591521 | − | 1.02454i | ||||
\(943\) | −108.787 | + | 686.561i | −0.115362 | + | 0.728060i | ||||
\(944\) | 721.310i | 0.764099i | ||||||||
\(945\) | −710.899 | − | 974.328i | −0.752274 | − | 1.03103i | ||||
\(946\) | 1661.35 | 1.75618 | ||||||||
\(947\) | −866.931 | + | 962.825i | −0.915450 | + | 1.01671i | 0.0843443 | + | 0.996437i | \(0.473120\pi\) |
−0.999794 | + | 0.0202738i | \(0.993546\pi\) | |||||||
\(948\) | 124.459 | − | 585.534i | 0.131286 | − | 0.617652i | ||||
\(949\) | −66.2340 | + | 29.4893i | −0.0697935 | + | 0.0310741i | ||||
\(950\) | 109.361 | − | 245.629i | 0.115117 | − | 0.258557i | ||||
\(951\) | 1673.04 | + | 543.602i | 1.75924 | + | 0.571611i | ||||
\(952\) | −1862.09 | + | 399.728i | −1.95598 | + | 0.419883i | ||||
\(953\) | 227.691 | − | 700.760i | 0.238920 | − | 0.735321i | −0.757657 | − | 0.652653i | \(-0.773656\pi\) |
0.996577 | − | 0.0826677i | \(-0.0263440\pi\) | |||||||
\(954\) | −321.679 | + | 68.3751i | −0.337190 | + | 0.0716720i | ||||
\(955\) | −114.663 | + | 539.445i | −0.120066 | + | 0.564864i | ||||
\(956\) | 22.2708 | − | 9.91562i | 0.0232959 | − | 0.0103720i | ||||
\(957\) | 2699.36 | − | 1558.48i | 2.82065 | − | 1.62850i | ||||
\(958\) | −1064.21 | + | 345.783i | −1.11087 | + | 0.360942i | ||||
\(959\) | −1312.22 | − | 1176.75i | −1.36833 | − | 1.22706i | ||||
\(960\) | 297.969 | − | 917.054i | 0.310384 | − | 0.955264i | ||||
\(961\) | −81.4561 | + | 775.003i | −0.0847618 | + | 0.806454i | ||||
\(962\) | 168.269 | − | 17.6857i | 0.174915 | − | 0.0183843i | ||||
\(963\) | −0.747203 | − | 7.10916i | −0.000775912 | − | 0.00738231i | ||||
\(964\) | 38.3551 | − | 86.1469i | 0.0397874 | − | 0.0893640i | ||||
\(965\) | −338.369 | − | 465.725i | −0.350641 | − | 0.482616i | ||||
\(966\) | −927.313 | + | 676.596i | −0.959951 | + | 0.700409i | ||||
\(967\) | −292.719 | + | 900.897i | −0.302709 | + | 0.931641i | 0.677814 | + | 0.735234i | \(0.262928\pi\) |
−0.980522 | + | 0.196408i | \(0.937072\pi\) | |||||||
\(968\) | −302.846 | − | 134.836i | −0.312857 | − | 0.139293i | ||||
\(969\) | −293.741 | + | 1381.94i | −0.303139 | + | 1.42616i | ||||
\(970\) | −127.189 | + | 220.298i | −0.131123 | + | 0.227111i | ||||
\(971\) | 1781.74 | + | 187.269i | 1.83495 | + | 0.192862i | 0.957817 | − | 0.287378i | \(-0.0927835\pi\) |
0.877138 | + | 0.480239i | \(0.159450\pi\) | |||||||
\(972\) | 404.422 | − | 131.405i | 0.416072 | − | 0.135190i | ||||
\(973\) | 824.635 | − | 369.147i | 0.847518 | − | 0.379390i | ||||
\(974\) | −303.145 | + | 932.983i | −0.311237 | + | 0.957889i | ||||
\(975\) | 115.423 | + | 199.918i | 0.118382 | + | 0.205044i | ||||
\(976\) | −61.3048 | + | 55.1991i | −0.0628123 | + | 0.0565565i | ||||
\(977\) | −147.205 | − | 1400.57i | −0.150671 | − | 1.43354i | −0.764767 | − | 0.644307i | \(-0.777146\pi\) |
0.614096 | − | 0.789231i | \(-0.289521\pi\) | |||||||
\(978\) | 194.131 | + | 20.4040i | 0.198498 | + | 0.0208630i | ||||
\(979\) | −1236.02 | + | 401.608i | −1.26254 | + | 0.410223i | ||||
\(980\) | 24.2174 | + | 111.715i | 0.0247117 | + | 0.113995i | ||||
\(981\) | −1372.58 | −1.39917 | ||||||||
\(982\) | 28.3381 | − | 269.619i | 0.0288575 | − | 0.274561i | ||||
\(983\) | −504.294 | − | 291.154i | −0.513016 | − | 0.296190i | 0.221057 | − | 0.975261i | \(-0.429049\pi\) |
−0.734072 | + | 0.679071i | \(0.762383\pi\) | |||||||
\(984\) | 1526.67 | − | 1236.11i | 1.55149 | − | 1.25621i | ||||
\(985\) | −380.312 | + | 219.573i | −0.386103 | + | 0.222917i | ||||
\(986\) | 1438.60 | − | 1980.06i | 1.45902 | − | 2.00817i | ||||
\(987\) | −1486.94 | + | 1344.29i | −1.50652 | + | 1.36199i | ||||
\(988\) | −5.23004 | − | 16.0964i | −0.00529356 | − | 0.0162919i | ||||
\(989\) | −855.422 | + | 950.043i | −0.864937 | + | 0.960609i | ||||
\(990\) | −475.988 | − | 1069.09i | −0.480796 | − | 1.07988i | ||||
\(991\) | 131.406 | + | 1250.24i | 0.132599 | + | 1.26160i | 0.835174 | + | 0.549986i | \(0.185367\pi\) |
−0.702575 | + | 0.711610i | \(0.747966\pi\) | |||||||
\(992\) | 41.7614 | + | 196.472i | 0.0420982 | + | 0.198057i | ||||
\(993\) | 1635.83i | 1.64736i | ||||||||
\(994\) | −742.536 | + | 1026.36i | −0.747018 | + | 1.03256i | ||||
\(995\) | −152.552 | + | 469.505i | −0.153318 | + | 0.471865i | ||||
\(996\) | −46.3019 | + | 51.4235i | −0.0464878 | + | 0.0516300i | ||||
\(997\) | 676.527 | + | 1519.50i | 0.678563 | + | 1.52408i | 0.843129 | + | 0.537711i | \(0.180711\pi\) |
−0.164567 | + | 0.986366i | \(0.552623\pi\) | |||||||
\(998\) | −397.230 | + | 688.023i | −0.398026 | + | 0.689402i | ||||
\(999\) | −2315.28 | − | 2084.69i | −2.31760 | − | 2.08677i |
(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 | 287.3.y.a.10.17 | ✓ | 432 | |
7.5 | odd | 6 | inner | 287.3.y.a.215.38 | yes | 432 | |
41.37 | even | 5 | inner | 287.3.y.a.283.38 | yes | 432 | |
287.201 | odd | 30 | inner | 287.3.y.a.201.17 | yes | 432 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.y.a.10.17 | ✓ | 432 | 1.1 | even | 1 | trivial | |
287.3.y.a.201.17 | yes | 432 | 287.201 | odd | 30 | inner | |
287.3.y.a.215.38 | yes | 432 | 7.5 | odd | 6 | inner | |
287.3.y.a.283.38 | yes | 432 | 41.37 | even | 5 | inner |