Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(19,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.ba (of order \(6\), degree \(2\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.11 | ||
Character | \(\chi\) | \(=\) | 280.19 |
Dual form | 280.2.ba.b.59.11 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02807 | + | 0.971124i | −0.726952 | + | 0.686688i | ||||
\(3\) | 1.39824 | + | 2.42182i | 0.807274 | + | 1.39824i | 0.914745 | + | 0.404032i | \(0.132392\pi\) |
−0.107470 | + | 0.994208i | \(0.534275\pi\) | |||||||
\(4\) | 0.113837 | − | 1.99676i | 0.0569187 | − | 0.998379i | ||||
\(5\) | 2.07888 | − | 0.823569i | 0.929703 | − | 0.368311i | ||||
\(6\) | −3.78937 | − | 1.13193i | −1.54700 | − | 0.462108i | ||||
\(7\) | −2.32367 | − | 1.26513i | −0.878266 | − | 0.478172i | ||||
\(8\) | 1.82207 | + | 2.16335i | 0.644198 | + | 0.764859i | ||||
\(9\) | −2.41015 | + | 4.17451i | −0.803384 | + | 1.39150i | ||||
\(10\) | −1.33744 | + | 2.86553i | −0.422934 | + | 0.906160i | ||||
\(11\) | 2.81429 | + | 4.87449i | 0.848540 | + | 1.46971i | 0.882511 | + | 0.470292i | \(0.155851\pi\) |
−0.0339711 | + | 0.999423i | \(0.510815\pi\) | |||||||
\(12\) | 4.99497 | − | 2.51625i | 1.44192 | − | 0.726380i | ||||
\(13\) | 3.09140i | 0.857401i | 0.903447 | + | 0.428701i | \(0.141029\pi\) | ||||
−0.903447 | + | 0.428701i | \(0.858971\pi\) | |||||||
\(14\) | 3.61748 | − | 0.955943i | 0.966813 | − | 0.255486i | ||||
\(15\) | 4.90131 | + | 3.88313i | 1.26551 | + | 1.00262i | ||||
\(16\) | −3.97408 | − | 0.454611i | −0.993521 | − | 0.113653i | ||||
\(17\) | −1.34123 | − | 2.32308i | −0.325296 | − | 0.563429i | 0.656276 | − | 0.754521i | \(-0.272131\pi\) |
−0.981572 | + | 0.191092i | \(0.938797\pi\) | |||||||
\(18\) | −1.57617 | − | 6.63222i | −0.371506 | − | 1.56323i | ||||
\(19\) | 0.00896628 | + | 0.00517669i | 0.00205701 | + | 0.00118761i | 0.501028 | − | 0.865431i | \(-0.332955\pi\) |
−0.498971 | + | 0.866619i | \(0.666289\pi\) | |||||||
\(20\) | −1.40781 | − | 4.24477i | −0.314797 | − | 0.949159i | ||||
\(21\) | −0.185144 | − | 7.39648i | −0.0404018 | − | 1.61404i | ||||
\(22\) | −7.62701 | − | 2.27827i | −1.62608 | − | 0.485730i | ||||
\(23\) | −1.25202 | + | 2.16856i | −0.261063 | + | 0.452175i | −0.966525 | − | 0.256573i | \(-0.917407\pi\) |
0.705461 | + | 0.708748i | \(0.250740\pi\) | |||||||
\(24\) | −2.69156 | + | 7.43760i | −0.549412 | + | 1.51819i | ||||
\(25\) | 3.64347 | − | 3.42420i | 0.728694 | − | 0.684840i | ||||
\(26\) | −3.00214 | − | 3.17817i | −0.588767 | − | 0.623290i | ||||
\(27\) | −5.09045 | −0.979657 | ||||||||
\(28\) | −2.79067 | + | 4.49579i | −0.527387 | + | 0.849625i | ||||
\(29\) | − | 7.20373i | − | 1.33770i | −0.743398 | − | 0.668849i | \(-0.766787\pi\) | ||
0.743398 | − | 0.668849i | \(-0.233213\pi\) | |||||||
\(30\) | −8.80987 | + | 0.767667i | −1.60845 | + | 0.140156i | ||||
\(31\) | 2.49620 | + | 4.32355i | 0.448331 | + | 0.776533i | 0.998278 | − | 0.0586673i | \(-0.0186851\pi\) |
−0.549946 | + | 0.835200i | \(0.685352\pi\) | |||||||
\(32\) | 4.52710 | − | 3.39196i | 0.800286 | − | 0.599619i | ||||
\(33\) | −7.87010 | + | 13.6314i | −1.37001 | + | 2.37293i | ||||
\(34\) | 3.63486 | + | 1.08578i | 0.623374 | + | 0.186209i | ||||
\(35\) | −5.87255 | − | 0.716337i | −0.992642 | − | 0.121083i | ||||
\(36\) | 8.06111 | + | 5.28770i | 1.34352 | + | 0.881284i | ||||
\(37\) | −0.224770 | + | 0.389313i | −0.0369519 | + | 0.0640026i | −0.883910 | − | 0.467657i | \(-0.845098\pi\) |
0.846958 | + | 0.531660i | \(0.178432\pi\) | |||||||
\(38\) | −0.0142451 | + | 0.00338540i | −0.00231086 | + | 0.000549184i | ||||
\(39\) | −7.48684 | + | 4.32253i | −1.19885 | + | 0.692158i | ||||
\(40\) | 5.56952 | + | 2.99674i | 0.880618 | + | 0.473826i | ||||
\(41\) | − | 10.6661i | − | 1.66577i | −0.553445 | − | 0.832886i | \(-0.686687\pi\) | ||
0.553445 | − | 0.832886i | \(-0.313313\pi\) | |||||||
\(42\) | 7.37323 | + | 7.42426i | 1.13771 | + | 1.14559i | ||||
\(43\) | − | 9.44007i | − | 1.43960i | −0.694183 | − | 0.719798i | \(-0.744234\pi\) | ||
0.694183 | − | 0.719798i | \(-0.255766\pi\) | |||||||
\(44\) | 10.0535 | − | 5.06455i | 1.51563 | − | 0.763510i | ||||
\(45\) | −1.57242 | + | 10.6632i | −0.234403 | + | 1.58958i | ||||
\(46\) | −0.818781 | − | 3.44528i | −0.120723 | − | 0.507979i | ||||
\(47\) | 1.23879 | + | 0.715215i | 0.180696 | + | 0.104325i | 0.587620 | − | 0.809137i | \(-0.300065\pi\) |
−0.406924 | + | 0.913462i | \(0.633398\pi\) | |||||||
\(48\) | −4.45573 | − | 10.2602i | −0.643130 | − | 1.48093i | ||||
\(49\) | 3.79892 | + | 5.87948i | 0.542702 | + | 0.839925i | ||||
\(50\) | −0.420406 | + | 7.05856i | −0.0594544 | + | 0.998231i | ||||
\(51\) | 3.75072 | − | 6.49644i | 0.525206 | − | 0.909683i | ||||
\(52\) | 6.17279 | + | 0.351917i | 0.856011 | + | 0.0488022i | ||||
\(53\) | −2.17123 | − | 3.76068i | −0.298241 | − | 0.516569i | 0.677493 | − | 0.735530i | \(-0.263067\pi\) |
−0.975734 | + | 0.218961i | \(0.929733\pi\) | |||||||
\(54\) | 5.23331 | − | 4.94345i | 0.712163 | − | 0.672719i | ||||
\(55\) | 9.86504 | + | 7.81571i | 1.33020 | + | 1.05387i | ||||
\(56\) | −1.49698 | − | 7.33206i | −0.200043 | − | 0.979787i | ||||
\(57\) | 0.0289530i | 0.00383492i | ||||||||
\(58\) | 6.99571 | + | 7.40590i | 0.918582 | + | 0.972443i | ||||
\(59\) | 0.320832 | − | 0.185233i | 0.0417688 | − | 0.0241152i | −0.478970 | − | 0.877831i | \(-0.658990\pi\) |
0.520739 | + | 0.853716i | \(0.325656\pi\) | |||||||
\(60\) | 8.31162 | − | 9.34468i | 1.07303 | − | 1.20639i | ||||
\(61\) | −2.24283 | + | 3.88469i | −0.287165 | + | 0.497384i | −0.973132 | − | 0.230249i | \(-0.926046\pi\) |
0.685967 | + | 0.727633i | \(0.259379\pi\) | |||||||
\(62\) | −6.76496 | − | 2.02077i | −0.859151 | − | 0.256638i | ||||
\(63\) | 10.8817 | − | 6.65104i | 1.37096 | − | 0.837953i | ||||
\(64\) | −1.36015 | + | 7.88353i | −0.170018 | + | 0.985441i | ||||
\(65\) | 2.54598 | + | 6.42665i | 0.315790 | + | 0.797128i | ||||
\(66\) | −5.14681 | − | 21.6568i | −0.633529 | − | 2.66577i | ||||
\(67\) | −4.32212 | + | 2.49538i | −0.528031 | + | 0.304859i | −0.740214 | − | 0.672371i | \(-0.765276\pi\) |
0.212183 | + | 0.977230i | \(0.431943\pi\) | |||||||
\(68\) | −4.79130 | + | 2.41366i | −0.581031 | + | 0.292699i | ||||
\(69\) | −7.00248 | −0.843000 | ||||||||
\(70\) | 6.73302 | − | 4.96653i | 0.804750 | − | 0.593614i | ||||
\(71\) | − | 9.31593i | − | 1.10560i | −0.833315 | − | 0.552799i | \(-0.813560\pi\) | ||
0.833315 | − | 0.552799i | \(-0.186440\pi\) | |||||||
\(72\) | −13.4224 | + | 2.39223i | −1.58184 | + | 0.281927i | ||||
\(73\) | −4.50169 | − | 7.79716i | −0.526883 | − | 0.912589i | −0.999509 | − | 0.0313255i | \(-0.990027\pi\) |
0.472626 | − | 0.881263i | \(-0.343306\pi\) | |||||||
\(74\) | −0.146993 | − | 0.618518i | −0.0170876 | − | 0.0719013i | ||||
\(75\) | 13.3872 | + | 4.03599i | 1.54583 | + | 0.466036i | ||||
\(76\) | 0.0113573 | − | 0.0173142i | 0.00130277 | − | 0.00198607i | ||||
\(77\) | −0.372646 | − | 14.8872i | −0.0424670 | − | 1.69655i | ||||
\(78\) | 3.49925 | − | 11.7145i | 0.396212 | − | 1.32640i | ||||
\(79\) | 4.69042 | + | 2.70802i | 0.527714 | + | 0.304676i | 0.740085 | − | 0.672513i | \(-0.234785\pi\) |
−0.212371 | + | 0.977189i | \(0.568119\pi\) | |||||||
\(80\) | −8.63604 | + | 2.32785i | −0.965538 | + | 0.260261i | ||||
\(81\) | 0.112790 | + | 0.195358i | 0.0125322 | + | 0.0217065i | ||||
\(82\) | 10.3581 | + | 10.9655i | 1.14387 | + | 1.21094i | ||||
\(83\) | 11.3308 | 1.24372 | 0.621860 | − | 0.783129i | \(-0.286377\pi\) | ||||
0.621860 | + | 0.783129i | \(0.286377\pi\) | |||||||
\(84\) | −14.7900 | − | 0.472307i | −1.61373 | − | 0.0515329i | ||||
\(85\) | −4.70146 | − | 3.72480i | −0.509945 | − | 0.404011i | ||||
\(86\) | 9.16747 | + | 9.70501i | 0.988554 | + | 1.04652i | ||||
\(87\) | 17.4462 | − | 10.0725i | 1.87042 | − | 1.07989i | ||||
\(88\) | −5.41740 | + | 14.9699i | −0.577497 | + | 1.59580i | ||||
\(89\) | 0.909465 | + | 0.525080i | 0.0964031 | + | 0.0556584i | 0.547426 | − | 0.836854i | \(-0.315608\pi\) |
−0.451023 | + | 0.892512i | \(0.648941\pi\) | |||||||
\(90\) | −8.73875 | − | 12.4895i | −0.921145 | − | 1.31651i | ||||
\(91\) | 3.91101 | − | 7.18342i | 0.409986 | − | 0.753027i | ||||
\(92\) | 4.18755 | + | 2.74684i | 0.436583 | + | 0.286377i | ||||
\(93\) | −6.98059 | + | 12.0907i | −0.723853 | + | 1.25375i | ||||
\(94\) | −1.96812 | + | 0.467729i | −0.202996 | + | 0.0482426i | ||||
\(95\) | 0.0229032 | + | 0.00337735i | 0.00234982 | + | 0.000346509i | ||||
\(96\) | 14.5447 | + | 6.22107i | 1.48446 | + | 0.634935i | ||||
\(97\) | 6.06940 | 0.616254 | 0.308127 | − | 0.951345i | \(-0.400298\pi\) | ||||
0.308127 | + | 0.951345i | \(0.400298\pi\) | |||||||
\(98\) | −9.61523 | − | 2.35527i | −0.971285 | − | 0.237918i | ||||
\(99\) | −27.1315 | −2.72681 | ||||||||
\(100\) | −6.42253 | − | 7.66493i | −0.642253 | − | 0.766493i | ||||
\(101\) | −1.53154 | − | 2.65270i | −0.152393 | − | 0.263953i | 0.779713 | − | 0.626137i | \(-0.215365\pi\) |
−0.932107 | + | 0.362183i | \(0.882031\pi\) | |||||||
\(102\) | 2.45286 | + | 10.3212i | 0.242869 | + | 1.02195i | ||||
\(103\) | −0.926219 | − | 0.534753i | −0.0912631 | − | 0.0526908i | 0.453674 | − | 0.891168i | \(-0.350113\pi\) |
−0.544937 | + | 0.838477i | \(0.683446\pi\) | |||||||
\(104\) | −6.68778 | + | 5.63275i | −0.655791 | + | 0.552336i | ||||
\(105\) | −6.47640 | − | 15.2239i | −0.632032 | − | 1.48570i | ||||
\(106\) | 5.88425 | + | 1.75769i | 0.571529 | + | 0.170722i | ||||
\(107\) | −0.826678 | − | 0.477283i | −0.0799180 | − | 0.0461407i | 0.459508 | − | 0.888173i | \(-0.348026\pi\) |
−0.539426 | + | 0.842033i | \(0.681359\pi\) | |||||||
\(108\) | −0.579483 | + | 10.1644i | −0.0557608 | + | 0.978068i | ||||
\(109\) | 0.742830 | − | 0.428873i | 0.0711502 | − | 0.0410786i | −0.464003 | − | 0.885834i | \(-0.653587\pi\) |
0.535153 | + | 0.844755i | \(0.320254\pi\) | |||||||
\(110\) | −17.7319 | + | 1.54511i | −1.69067 | + | 0.147320i | ||||
\(111\) | −1.25713 | −0.119321 | ||||||||
\(112\) | 8.65933 | + | 6.08408i | 0.818230 | + | 0.574891i | ||||
\(113\) | 2.14152i | 0.201457i | 0.994914 | + | 0.100729i | \(0.0321174\pi\) | ||||
−0.994914 | + | 0.100729i | \(0.967883\pi\) | |||||||
\(114\) | −0.0281169 | − | 0.0297656i | −0.00263339 | − | 0.00278780i | ||||
\(115\) | −0.816835 | + | 5.53929i | −0.0761703 | + | 0.516541i | ||||
\(116\) | −14.3841 | − | 0.820053i | −1.33553 | − | 0.0761400i | ||||
\(117\) | −12.9051 | − | 7.45076i | −1.19308 | − | 0.688823i | ||||
\(118\) | −0.149953 | + | 0.501999i | −0.0138043 | + | 0.0462128i | ||||
\(119\) | 0.177595 | + | 7.09489i | 0.0162801 | + | 0.650388i | ||||
\(120\) | 0.529952 | + | 17.6786i | 0.0483778 | + | 1.61382i | ||||
\(121\) | −10.3404 | + | 17.9102i | −0.940040 | + | 1.62820i | ||||
\(122\) | −1.46674 | − | 6.17178i | −0.132793 | − | 0.558767i | ||||
\(123\) | 25.8315 | − | 14.9138i | 2.32915 | − | 1.34473i | ||||
\(124\) | 8.91725 | − | 4.49213i | 0.800792 | − | 0.403405i | ||||
\(125\) | 4.75427 | − | 10.1191i | 0.425235 | − | 0.905083i | ||||
\(126\) | −4.72809 | + | 17.4052i | −0.421212 | + | 1.55058i | ||||
\(127\) | −14.7459 | −1.30849 | −0.654244 | − | 0.756284i | \(-0.727013\pi\) | ||||
−0.654244 | + | 0.756284i | \(0.727013\pi\) | |||||||
\(128\) | −6.25756 | − | 9.42565i | −0.553095 | − | 0.833118i | ||||
\(129\) | 22.8622 | − | 13.1995i | 2.01290 | − | 1.16215i | ||||
\(130\) | −8.85851 | − | 4.13456i | −0.776943 | − | 0.362625i | ||||
\(131\) | 1.85181 | + | 1.06915i | 0.161794 | + | 0.0934117i | 0.578711 | − | 0.815533i | \(-0.303556\pi\) |
−0.416917 | + | 0.908945i | \(0.636889\pi\) | |||||||
\(132\) | 26.3227 | + | 17.2665i | 2.29110 | + | 1.50285i | ||||
\(133\) | −0.0142856 | − | 0.0233724i | −0.00123871 | − | 0.00202664i | ||||
\(134\) | 2.02010 | − | 6.76273i | 0.174510 | − | 0.584211i | ||||
\(135\) | −10.5824 | + | 4.19233i | −0.910789 | + | 0.360818i | ||||
\(136\) | 2.58181 | − | 7.13434i | 0.221389 | − | 0.611765i | ||||
\(137\) | −11.0212 | + | 6.36309i | −0.941605 | + | 0.543636i | −0.890463 | − | 0.455056i | \(-0.849619\pi\) |
−0.0511418 | + | 0.998691i | \(0.516286\pi\) | |||||||
\(138\) | 7.19901 | − | 6.80027i | 0.612820 | − | 0.578878i | ||||
\(139\) | 6.35401i | 0.538940i | 0.963009 | + | 0.269470i | \(0.0868485\pi\) | ||||
−0.963009 | + | 0.269470i | \(0.913152\pi\) | |||||||
\(140\) | −2.09887 | + | 11.6445i | −0.177387 | + | 0.984141i | ||||
\(141\) | 4.00017i | 0.336875i | ||||||||
\(142\) | 9.04692 | + | 9.57739i | 0.759201 | + | 0.803716i | ||||
\(143\) | −15.0690 | + | 8.70011i | −1.26014 | + | 0.727539i | ||||
\(144\) | 11.4759 | − | 15.4941i | 0.956327 | − | 1.29118i | ||||
\(145\) | −5.93276 | − | 14.9757i | −0.492689 | − | 1.24366i | ||||
\(146\) | 12.2000 | + | 3.64429i | 1.00968 | + | 0.301604i | ||||
\(147\) | −8.92725 | + | 17.4212i | −0.736307 | + | 1.43688i | ||||
\(148\) | 0.751776 | + | 0.493129i | 0.0617956 | + | 0.0405350i | ||||
\(149\) | 6.88939 | + | 3.97759i | 0.564400 | + | 0.325857i | 0.754910 | − | 0.655829i | \(-0.227681\pi\) |
−0.190509 | + | 0.981685i | \(0.561014\pi\) | |||||||
\(150\) | −17.6824 | + | 8.85141i | −1.44376 | + | 0.722715i | ||||
\(151\) | −17.2792 | + | 9.97613i | −1.40616 | + | 0.811846i | −0.995015 | − | 0.0997254i | \(-0.968204\pi\) |
−0.411143 | + | 0.911571i | \(0.634870\pi\) | |||||||
\(152\) | 0.00513819 | + | 0.0288295i | 0.000416762 | + | 0.00233838i | ||||
\(153\) | 12.9303 | 1.04535 | ||||||||
\(154\) | 14.8404 | + | 14.9431i | 1.19587 | + | 1.20415i | ||||
\(155\) | 8.75004 | + | 6.93234i | 0.702820 | + | 0.556819i | ||||
\(156\) | 7.77876 | + | 15.4415i | 0.622799 | + | 1.23631i | ||||
\(157\) | 1.89627 | − | 1.09481i | 0.151339 | − | 0.0873757i | −0.422418 | − | 0.906401i | \(-0.638819\pi\) |
0.573757 | + | 0.819025i | \(0.305485\pi\) | |||||||
\(158\) | −7.45188 | + | 1.77096i | −0.592840 | + | 0.140890i | ||||
\(159\) | 6.07180 | − | 10.5167i | 0.481525 | − | 0.834025i | ||||
\(160\) | 6.61778 | − | 10.7798i | 0.523182 | − | 0.852221i | ||||
\(161\) | 5.65277 | − | 3.45506i | 0.445501 | − | 0.272297i | ||||
\(162\) | −0.305673 | − | 0.0913079i | −0.0240159 | − | 0.00717382i | ||||
\(163\) | −12.7286 | − | 7.34887i | −0.996982 | − | 0.575608i | −0.0896280 | − | 0.995975i | \(-0.528568\pi\) |
−0.907354 | + | 0.420368i | \(0.861901\pi\) | |||||||
\(164\) | −21.2977 | − | 1.21421i | −1.66307 | − | 0.0948135i | ||||
\(165\) | −5.13458 | + | 34.8196i | −0.399726 | + | 2.71070i | ||||
\(166\) | −11.6488 | + | 11.0036i | −0.904125 | + | 0.854048i | ||||
\(167\) | − | 10.2205i | − | 0.790884i | −0.918491 | − | 0.395442i | \(-0.870591\pi\) | ||
0.918491 | − | 0.395442i | \(-0.129409\pi\) | |||||||
\(168\) | 15.6638 | − | 13.8774i | 1.20849 | − | 1.07066i | ||||
\(169\) | 3.44322 | 0.264863 | ||||||||
\(170\) | 8.45065 | − | 0.736366i | 0.648135 | − | 0.0564767i | ||||
\(171\) | −0.0432202 | + | 0.0249532i | −0.00330513 | + | 0.00190822i | ||||
\(172\) | −18.8495 | − | 1.07463i | −1.43726 | − | 0.0819399i | ||||
\(173\) | 20.2375 | + | 11.6841i | 1.53863 | + | 0.888326i | 0.998920 | + | 0.0464719i | \(0.0147978\pi\) |
0.539706 | + | 0.841854i | \(0.318536\pi\) | |||||||
\(174\) | −8.15410 | + | 27.2976i | −0.618161 | + | 2.06943i | ||||
\(175\) | −12.7983 | + | 3.34727i | −0.967458 | + | 0.253030i | ||||
\(176\) | −8.96822 | − | 20.6510i | −0.676005 | − | 1.55663i | ||||
\(177\) | 0.897201 | + | 0.517999i | 0.0674378 | + | 0.0389352i | ||||
\(178\) | −1.44491 | + | 0.343387i | −0.108300 | + | 0.0257379i | ||||
\(179\) | −10.2591 | − | 17.7693i | −0.766801 | − | 1.32814i | −0.939289 | − | 0.343127i | \(-0.888514\pi\) |
0.172488 | − | 0.985012i | \(-0.444819\pi\) | |||||||
\(180\) | 21.1129 | + | 4.35362i | 1.57366 | + | 0.324499i | ||||
\(181\) | −10.1199 | −0.752204 | −0.376102 | − | 0.926578i | \(-0.622736\pi\) | ||||
−0.376102 | + | 0.926578i | \(0.622736\pi\) | |||||||
\(182\) | 2.95521 | + | 11.1831i | 0.219054 | + | 0.828947i | ||||
\(183\) | −12.5440 | −0.927283 | ||||||||
\(184\) | −6.97260 | + | 1.24271i | −0.514027 | + | 0.0916135i | ||||
\(185\) | −0.146643 | + | 0.994447i | −0.0107814 | + | 0.0731132i | ||||
\(186\) | −4.56509 | − | 19.2091i | −0.334729 | − | 1.40848i | ||||
\(187\) | 7.54921 | − | 13.0756i | 0.552053 | − | 0.956184i | ||||
\(188\) | 1.56913 | − | 2.39214i | 0.114441 | − | 0.174465i | ||||
\(189\) | 11.8285 | + | 6.44005i | 0.860399 | + | 0.468445i | ||||
\(190\) | −0.0268258 | + | 0.0187697i | −0.00194615 | + | 0.00136169i | ||||
\(191\) | −10.2933 | − | 5.94286i | −0.744800 | − | 0.430010i | 0.0790121 | − | 0.996874i | \(-0.474823\pi\) |
−0.823812 | + | 0.566863i | \(0.808157\pi\) | |||||||
\(192\) | −20.9943 | + | 7.72903i | −1.51513 | + | 0.557795i | ||||
\(193\) | 1.46075 | − | 0.843365i | 0.105147 | − | 0.0607067i | −0.446504 | − | 0.894782i | \(-0.647331\pi\) |
0.551651 | + | 0.834075i | \(0.313998\pi\) | |||||||
\(194\) | −6.23974 | + | 5.89414i | −0.447987 | + | 0.423174i | ||||
\(195\) | −12.0043 | + | 15.1519i | −0.859647 | + | 1.08505i | ||||
\(196\) | 12.1723 | − | 6.91621i | 0.869453 | − | 0.494015i | ||||
\(197\) | 12.2308 | 0.871407 | 0.435703 | − | 0.900090i | \(-0.356500\pi\) | ||||
0.435703 | + | 0.900090i | \(0.356500\pi\) | |||||||
\(198\) | 27.8929 | − | 26.3480i | 1.98226 | − | 1.87247i | ||||
\(199\) | 5.79902 | + | 10.0442i | 0.411082 | + | 0.712014i | 0.995008 | − | 0.0997922i | \(-0.0318178\pi\) |
−0.583927 | + | 0.811806i | \(0.698484\pi\) | |||||||
\(200\) | 14.0464 | + | 1.64298i | 0.993229 | + | 0.116176i | ||||
\(201\) | −12.0867 | − | 6.97828i | −0.852533 | − | 0.492210i | ||||
\(202\) | 4.15062 | + | 1.23984i | 0.292036 | + | 0.0872345i | ||||
\(203\) | −9.11362 | + | 16.7391i | −0.639650 | + | 1.17486i | ||||
\(204\) | −12.5448 | − | 8.22882i | −0.878314 | − | 0.576132i | ||||
\(205\) | −8.78430 | − | 22.1736i | −0.613522 | − | 1.54867i | ||||
\(206\) | 1.47152 | − | 0.349712i | 0.102526 | − | 0.0243656i | ||||
\(207\) | −6.03510 | − | 10.4531i | −0.419468 | − | 0.726541i | ||||
\(208\) | 1.40539 | − | 12.2855i | 0.0974461 | − | 0.851846i | ||||
\(209\) | 0.0582748i | 0.00403095i | ||||||||
\(210\) | 21.4424 | + | 9.36178i | 1.47967 | + | 0.646024i | ||||
\(211\) | −5.59881 | −0.385438 | −0.192719 | − | 0.981254i | \(-0.561731\pi\) | ||||
−0.192719 | + | 0.981254i | \(0.561731\pi\) | |||||||
\(212\) | −7.75633 | + | 3.90731i | −0.532707 | + | 0.268355i | ||||
\(213\) | 22.5615 | − | 13.0259i | 1.54589 | − | 0.892521i | ||||
\(214\) | 1.31338 | − | 0.312129i | 0.0897808 | − | 0.0213367i | ||||
\(215\) | −7.77454 | − | 19.6247i | −0.530219 | − | 1.33840i | ||||
\(216\) | −9.27513 | − | 11.0124i | −0.631093 | − | 0.749299i | ||||
\(217\) | −0.330528 | − | 13.2045i | −0.0224377 | − | 0.896382i | ||||
\(218\) | −0.347189 | + | 1.16229i | −0.0235146 | + | 0.0787202i | ||||
\(219\) | 12.5889 | − | 21.8046i | 0.850679 | − | 1.47342i | ||||
\(220\) | 16.7291 | − | 18.8084i | 1.12788 | − | 1.26806i | ||||
\(221\) | 7.18157 | − | 4.14628i | 0.483085 | − | 0.278909i | ||||
\(222\) | 1.29241 | − | 1.22083i | 0.0867410 | − | 0.0819366i | ||||
\(223\) | − | 0.966855i | − | 0.0647454i | −0.999476 | − | 0.0323727i | \(-0.989694\pi\) | ||
0.999476 | − | 0.0323727i | \(-0.0103064\pi\) | |||||||
\(224\) | −14.8108 | + | 2.15445i | −0.989585 | + | 0.143950i | ||||
\(225\) | 5.51302 | + | 23.4625i | 0.367534 | + | 1.56417i | ||||
\(226\) | −2.07968 | − | 2.20162i | −0.138338 | − | 0.146450i | ||||
\(227\) | −8.25091 | − | 14.2910i | −0.547632 | − | 0.948526i | −0.998436 | − | 0.0559034i | \(-0.982196\pi\) |
0.450804 | − | 0.892623i | \(-0.351137\pi\) | |||||||
\(228\) | 0.0578121 | + | 0.00329593i | 0.00382870 | + | 0.000218279i | ||||
\(229\) | 9.83500 | − | 17.0347i | 0.649915 | − | 1.12569i | −0.333228 | − | 0.942846i | \(-0.608138\pi\) |
0.983143 | − | 0.182839i | \(-0.0585289\pi\) | |||||||
\(230\) | −4.53957 | − | 6.48800i | −0.299331 | − | 0.427806i | ||||
\(231\) | 35.5330 | − | 21.7183i | 2.33790 | − | 1.42896i | ||||
\(232\) | 15.5842 | − | 13.1257i | 1.02315 | − | 0.861742i | ||||
\(233\) | −21.2525 | − | 12.2702i | −1.39230 | − | 0.803845i | −0.398731 | − | 0.917068i | \(-0.630549\pi\) |
−0.993570 | + | 0.113223i | \(0.963883\pi\) | |||||||
\(234\) | 20.5029 | − | 4.87257i | 1.34032 | − | 0.318530i | ||||
\(235\) | 3.16432 | + | 0.466618i | 0.206418 | + | 0.0304388i | ||||
\(236\) | −0.333342 | − | 0.661711i | −0.0216987 | − | 0.0430737i | ||||
\(237\) | 15.1458i | 0.983827i | ||||||||
\(238\) | −7.07260 | − | 7.12155i | −0.458448 | − | 0.461621i | ||||
\(239\) | 4.28437i | 0.277133i | 0.990353 | + | 0.138567i | \(0.0442495\pi\) | ||||
−0.990353 | + | 0.138567i | \(0.955751\pi\) | |||||||
\(240\) | −17.7129 | − | 17.6601i | −1.14336 | − | 1.13995i | ||||
\(241\) | −6.54522 | + | 3.77888i | −0.421615 | + | 0.243419i | −0.695768 | − | 0.718267i | \(-0.744936\pi\) |
0.274153 | + | 0.961686i | \(0.411602\pi\) | |||||||
\(242\) | −6.76234 | − | 28.4547i | −0.434700 | − | 1.82914i | ||||
\(243\) | −7.95108 | + | 13.7717i | −0.510062 | + | 0.883454i | ||||
\(244\) | 7.50147 | + | 4.92061i | 0.480232 | + | 0.315010i | ||||
\(245\) | 12.7396 | + | 9.09405i | 0.813905 | + | 0.580997i | ||||
\(246\) | −12.0733 | + | 40.4180i | −0.769766 | + | 2.57696i | ||||
\(247\) | −0.0160032 | + | 0.0277184i | −0.00101826 | + | 0.00176368i | ||||
\(248\) | −4.80510 | + | 13.2780i | −0.305124 | + | 0.843151i | ||||
\(249\) | 15.8432 | + | 27.4413i | 1.00402 | + | 1.73902i | ||||
\(250\) | 4.93924 | + | 15.0201i | 0.312385 | + | 0.949956i | ||||
\(251\) | 24.1608i | 1.52502i | 0.646978 | + | 0.762508i | \(0.276032\pi\) | ||||
−0.646978 | + | 0.762508i | \(0.723968\pi\) | |||||||
\(252\) | −12.0418 | − | 22.4852i | −0.758561 | − | 1.41644i | ||||
\(253\) | −14.0941 | −0.886091 | ||||||||
\(254\) | 15.1598 | − | 14.3201i | 0.951208 | − | 0.898523i | ||||
\(255\) | 2.44703 | − | 16.5943i | 0.153239 | − | 1.03917i | ||||
\(256\) | 15.5867 | + | 3.61332i | 0.974166 | + | 0.225833i | ||||
\(257\) | −5.36561 | + | 9.29351i | −0.334697 | + | 0.579713i | −0.983427 | − | 0.181306i | \(-0.941967\pi\) |
0.648729 | + | 0.761019i | \(0.275301\pi\) | |||||||
\(258\) | −10.6855 | + | 35.7719i | −0.665249 | + | 2.22706i | ||||
\(259\) | 1.01482 | − | 0.620274i | 0.0630579 | − | 0.0385419i | ||||
\(260\) | 13.1223 | − | 4.35212i | 0.813810 | − | 0.269907i | ||||
\(261\) | 30.0720 | + | 17.3621i | 1.86141 | + | 1.07469i | ||||
\(262\) | −2.94206 | + | 0.699189i | −0.181761 | + | 0.0431961i | ||||
\(263\) | 10.8614 | + | 18.8124i | 0.669740 | + | 1.16002i | 0.977977 | + | 0.208714i | \(0.0669277\pi\) |
−0.308237 | + | 0.951310i | \(0.599739\pi\) | |||||||
\(264\) | −43.8294 | + | 7.81158i | −2.69751 | + | 0.480770i | ||||
\(265\) | −7.61089 | − | 6.02983i | −0.467534 | − | 0.370410i | ||||
\(266\) | 0.0373840 | + | 0.0101553i | 0.00229216 | + | 0.000622662i | ||||
\(267\) | 2.93675i | 0.179726i | ||||||||
\(268\) | 4.49065 | + | 8.91430i | 0.274310 | + | 0.544528i | ||||
\(269\) | 11.0937 | + | 19.2149i | 0.676396 | + | 1.17155i | 0.976059 | + | 0.217507i | \(0.0697925\pi\) |
−0.299663 | + | 0.954045i | \(0.596874\pi\) | |||||||
\(270\) | 6.80815 | − | 14.5868i | 0.414331 | − | 0.887726i | ||||
\(271\) | −1.07939 | + | 1.86956i | −0.0655683 | + | 0.113568i | −0.896946 | − | 0.442140i | \(-0.854219\pi\) |
0.831378 | + | 0.555708i | \(0.187553\pi\) | |||||||
\(272\) | 4.27406 | + | 9.84183i | 0.259153 | + | 0.596749i | ||||
\(273\) | 22.8655 | − | 0.572356i | 1.38388 | − | 0.0346405i | ||||
\(274\) | 5.15117 | − | 17.2446i | 0.311193 | − | 1.04179i | ||||
\(275\) | 26.9450 | + | 8.12338i | 1.62484 | + | 0.489858i | ||||
\(276\) | −0.797144 | + | 13.9823i | −0.0479824 | + | 0.841633i | ||||
\(277\) | −4.02100 | − | 6.96457i | −0.241598 | − | 0.418460i | 0.719571 | − | 0.694418i | \(-0.244338\pi\) |
−0.961170 | + | 0.275958i | \(0.911005\pi\) | |||||||
\(278\) | −6.17053 | − | 6.53233i | −0.370084 | − | 0.391783i | ||||
\(279\) | −24.0649 | −1.44073 | ||||||||
\(280\) | −9.15049 | − | 14.0096i | −0.546847 | − | 0.837233i | ||||
\(281\) | 12.1508 | 0.724858 | 0.362429 | − | 0.932011i | \(-0.381948\pi\) | ||||
0.362429 | + | 0.932011i | \(0.381948\pi\) | |||||||
\(282\) | −3.88466 | − | 4.11244i | −0.231328 | − | 0.244892i | ||||
\(283\) | 7.59282 | + | 13.1511i | 0.451346 | + | 0.781755i | 0.998470 | − | 0.0552972i | \(-0.0176106\pi\) |
−0.547124 | + | 0.837052i | \(0.684277\pi\) | |||||||
\(284\) | −18.6017 | − | 1.06050i | −1.10381 | − | 0.0629291i | ||||
\(285\) | 0.0238448 | + | 0.0601898i | 0.00141244 | + | 0.00356533i | ||||
\(286\) | 7.04307 | − | 23.5782i | 0.416465 | − | 1.39421i | ||||
\(287\) | −13.4940 | + | 24.7846i | −0.796526 | + | 1.46299i | ||||
\(288\) | 3.24874 | + | 27.0735i | 0.191434 | + | 1.59532i | ||||
\(289\) | 4.90221 | − | 8.49088i | 0.288365 | − | 0.499464i | ||||
\(290\) | 20.6425 | + | 9.63452i | 1.21217 | + | 0.565759i | ||||
\(291\) | 8.48648 | + | 14.6990i | 0.497486 | + | 0.861671i | ||||
\(292\) | −16.0815 | + | 8.10118i | −0.941099 | + | 0.474086i | ||||
\(293\) | − | 20.5769i | − | 1.20212i | −0.799205 | − | 0.601058i | \(-0.794746\pi\) | ||
0.799205 | − | 0.601058i | \(-0.205254\pi\) | |||||||
\(294\) | −7.74036 | − | 26.5796i | −0.451427 | − | 1.55016i | ||||
\(295\) | 0.514420 | − | 0.649303i | 0.0299507 | − | 0.0378039i | ||||
\(296\) | −1.25176 | + | 0.223098i | −0.0727573 | + | 0.0129673i | ||||
\(297\) | −14.3260 | − | 24.8133i | −0.831278 | − | 1.43982i | ||||
\(298\) | −10.9455 | + | 2.60122i | −0.634054 | + | 0.150685i | ||||
\(299\) | −6.70389 | − | 3.87049i | −0.387696 | − | 0.223836i | ||||
\(300\) | 9.58286 | − | 26.2716i | 0.553267 | − | 1.51679i | ||||
\(301\) | −11.9429 | + | 21.9356i | −0.688375 | + | 1.26435i | ||||
\(302\) | 8.07605 | − | 27.0363i | 0.464725 | − | 1.55576i | ||||
\(303\) | 4.28291 | − | 7.41821i | 0.246047 | − | 0.426165i | ||||
\(304\) | −0.0332794 | − | 0.0246487i | −0.00190870 | − | 0.00141370i | ||||
\(305\) | −1.46326 | + | 9.92292i | −0.0837858 | + | 0.568185i | ||||
\(306\) | −13.2932 | + | 12.5569i | −0.759919 | + | 0.717829i | ||||
\(307\) | −5.13799 | −0.293241 | −0.146620 | − | 0.989193i | \(-0.546840\pi\) | ||||
−0.146620 | + | 0.989193i | \(0.546840\pi\) | |||||||
\(308\) | −29.7685 | − | 0.950630i | −1.69622 | − | 0.0541672i | ||||
\(309\) | − | 2.99085i | − | 0.170144i | ||||||
\(310\) | −15.7278 | + | 1.37047i | −0.893278 | + | 0.0778377i | ||||
\(311\) | 10.7172 | + | 18.5628i | 0.607718 | + | 1.05260i | 0.991616 | + | 0.129222i | \(0.0412481\pi\) |
−0.383898 | + | 0.923376i | \(0.625419\pi\) | |||||||
\(312\) | −22.9926 | − | 8.32070i | −1.30170 | − | 0.471067i | ||||
\(313\) | −0.582955 | + | 1.00971i | −0.0329506 | + | 0.0570720i | −0.882030 | − | 0.471192i | \(-0.843824\pi\) |
0.849080 | + | 0.528265i | \(0.177157\pi\) | |||||||
\(314\) | −0.886294 | + | 2.96706i | −0.0500165 | + | 0.167441i | ||||
\(315\) | 17.1441 | − | 22.7885i | 0.965960 | − | 1.28399i | ||||
\(316\) | 5.94120 | − | 9.05736i | 0.334218 | − | 0.509516i | ||||
\(317\) | 7.41747 | − | 12.8474i | 0.416607 | − | 0.721584i | −0.578989 | − | 0.815335i | \(-0.696553\pi\) |
0.995596 | + | 0.0937515i | \(0.0298859\pi\) | |||||||
\(318\) | 3.97077 | + | 16.7083i | 0.222670 | + | 0.936954i | ||||
\(319\) | 35.1145 | − | 20.2734i | 1.96603 | − | 1.13509i | ||||
\(320\) | 3.66504 | + | 17.5091i | 0.204882 | + | 0.978787i | ||||
\(321\) | − | 2.66942i | − | 0.148993i | ||||||
\(322\) | −2.45613 | + | 9.04157i | −0.136875 | + | 0.503867i | ||||
\(323\) | − | 0.0277725i | − | 0.00154530i | ||||||
\(324\) | 0.402923 | − | 0.202975i | 0.0223846 | − | 0.0112764i | ||||
\(325\) | 10.5856 | + | 11.2634i | 0.587182 | + | 0.624783i | ||||
\(326\) | 20.2225 | − | 4.80594i | 1.12002 | − | 0.266176i | ||||
\(327\) | 2.07731 | + | 1.19934i | 0.114875 | + | 0.0663234i | ||||
\(328\) | 23.0746 | − | 19.4344i | 1.27408 | − | 1.07309i | ||||
\(329\) | −1.97370 | − | 3.22915i | −0.108814 | − | 0.178029i | ||||
\(330\) | −28.5355 | − | 40.7832i | −1.57083 | − | 2.24504i | ||||
\(331\) | −7.74145 | + | 13.4086i | −0.425509 | + | 0.737003i | −0.996468 | − | 0.0839759i | \(-0.973238\pi\) |
0.570959 | + | 0.820978i | \(0.306571\pi\) | |||||||
\(332\) | 1.28987 | − | 22.6249i | 0.0707909 | − | 1.24170i | ||||
\(333\) | −1.08346 | − | 1.87661i | −0.0593732 | − | 0.102837i | ||||
\(334\) | 9.92535 | + | 10.5073i | 0.543091 | + | 0.574935i | ||||
\(335\) | −6.93005 | + | 8.74715i | −0.378629 | + | 0.477908i | ||||
\(336\) | −2.62674 | + | 29.4784i | −0.143301 | + | 1.60818i | ||||
\(337\) | 28.7826i | 1.56789i | 0.620832 | + | 0.783944i | \(0.286795\pi\) | ||||
−0.620832 | + | 0.783944i | \(0.713205\pi\) | |||||||
\(338\) | −3.53985 | + | 3.34379i | −0.192543 | + | 0.181878i | ||||
\(339\) | −5.18638 | + | 2.99436i | −0.281686 | + | 0.162631i | ||||
\(340\) | −7.97272 | + | 8.96366i | −0.432382 | + | 0.486123i | ||||
\(341\) | −14.0501 | + | 24.3354i | −0.760854 | + | 1.31784i | ||||
\(342\) | 0.0202006 | − | 0.0676257i | 0.00109232 | − | 0.00365678i | ||||
\(343\) | −1.38917 | − | 18.4681i | −0.0750080 | − | 0.997183i | ||||
\(344\) | 20.4221 | − | 17.2004i | 1.10109 | − | 0.927385i | ||||
\(345\) | −14.5573 | + | 5.76702i | −0.783739 | + | 0.310486i | ||||
\(346\) | −32.1521 | + | 7.64105i | −1.72851 | + | 0.410786i | ||||
\(347\) | −4.40442 | + | 2.54289i | −0.236442 | + | 0.136510i | −0.613540 | − | 0.789664i | \(-0.710255\pi\) |
0.377099 | + | 0.926173i | \(0.376922\pi\) | |||||||
\(348\) | −18.1264 | − | 35.9824i | −0.971677 | − | 1.92886i | ||||
\(349\) | −13.7007 | −0.733381 | −0.366690 | − | 0.930343i | \(-0.619509\pi\) | ||||
−0.366690 | + | 0.930343i | \(0.619509\pi\) | |||||||
\(350\) | 9.90685 | − | 15.8699i | 0.529543 | − | 0.848283i | ||||
\(351\) | − | 15.7366i | − | 0.839959i | ||||||
\(352\) | 29.2746 | + | 12.5214i | 1.56034 | + | 0.667391i | ||||
\(353\) | 0.825203 | + | 1.42929i | 0.0439211 | + | 0.0760736i | 0.887150 | − | 0.461481i | \(-0.152682\pi\) |
−0.843229 | + | 0.537554i | \(0.819348\pi\) | |||||||
\(354\) | −1.42542 | + | 0.338756i | −0.0757604 | + | 0.0180047i | ||||
\(355\) | −7.67231 | − | 19.3667i | −0.407204 | − | 1.02788i | ||||
\(356\) | 1.15199 | − | 1.75621i | 0.0610553 | − | 0.0930788i | ||||
\(357\) | −16.9343 | + | 10.3505i | −0.896256 | + | 0.547805i | ||||
\(358\) | 27.8032 | + | 8.30513i | 1.46944 | + | 0.438940i | ||||
\(359\) | −29.4837 | − | 17.0224i | −1.55609 | − | 0.898408i | −0.997625 | − | 0.0688791i | \(-0.978058\pi\) |
−0.558464 | − | 0.829529i | \(-0.688609\pi\) | |||||||
\(360\) | −25.9333 | + | 16.0274i | −1.36680 | + | 0.844718i | ||||
\(361\) | −9.49995 | − | 16.4544i | −0.499997 | − | 0.866021i | ||||
\(362\) | 10.4039 | − | 9.82765i | 0.546816 | − | 0.516530i | ||||
\(363\) | −57.8337 | −3.03548 | ||||||||
\(364\) | −13.8983 | − | 8.62709i | −0.728470 | − | 0.452182i | ||||
\(365\) | −15.7800 | − | 12.5019i | −0.825961 | − | 0.654379i | ||||
\(366\) | 12.8961 | − | 12.1818i | 0.674090 | − | 0.636754i | ||||
\(367\) | 9.86880 | − | 5.69776i | 0.515147 | − | 0.297421i | −0.219800 | − | 0.975545i | \(-0.570540\pi\) |
0.734947 | + | 0.678125i | \(0.237207\pi\) | |||||||
\(368\) | 5.96147 | − | 8.04884i | 0.310763 | − | 0.419575i | ||||
\(369\) | 44.5259 | + | 25.7070i | 2.31792 | + | 1.33825i | ||||
\(370\) | −0.814972 | − | 1.16477i | −0.0423684 | − | 0.0605533i | ||||
\(371\) | 0.287497 | + | 11.4855i | 0.0149261 | + | 0.596295i | ||||
\(372\) | 23.3476 | + | 15.3149i | 1.21052 | + | 0.794041i | ||||
\(373\) | −14.8647 | + | 25.7464i | −0.769664 | + | 1.33310i | 0.168080 | + | 0.985773i | \(0.446243\pi\) |
−0.937745 | + | 0.347325i | \(0.887090\pi\) | |||||||
\(374\) | 4.93696 | + | 20.7738i | 0.255284 | + | 1.07419i | ||||
\(375\) | 31.1544 | − | 2.63499i | 1.60880 | − | 0.136070i | ||||
\(376\) | 0.709897 | + | 3.98310i | 0.0366101 | + | 0.205413i | ||||
\(377\) | 22.2696 | 1.14694 | ||||||||
\(378\) | −18.4146 | + | 4.86617i | −0.947144 | + | 0.250289i | ||||
\(379\) | −35.7110 | −1.83435 | −0.917176 | − | 0.398482i | \(-0.869537\pi\) | ||||
−0.917176 | + | 0.398482i | \(0.869537\pi\) | |||||||
\(380\) | 0.00935099 | − | 0.0453476i | 0.000479696 | − | 0.00232628i | ||||
\(381\) | −20.6183 | − | 35.7120i | −1.05631 | − | 1.82958i | ||||
\(382\) | 16.3535 | − | 3.88645i | 0.836717 | − | 0.198848i | ||||
\(383\) | 27.0665 | + | 15.6269i | 1.38303 | + | 0.798495i | 0.992518 | − | 0.122101i | \(-0.0389631\pi\) |
0.390517 | + | 0.920596i | \(0.372296\pi\) | |||||||
\(384\) | 14.0777 | − | 28.3340i | 0.718399 | − | 1.44592i | ||||
\(385\) | −13.0353 | − | 30.6417i | −0.664339 | − | 1.56164i | ||||
\(386\) | −0.682736 | + | 2.28560i | −0.0347503 | + | 0.116334i | ||||
\(387\) | 39.4076 | + | 22.7520i | 2.00320 | + | 1.15655i | ||||
\(388\) | 0.690924 | − | 12.1191i | 0.0350764 | − | 0.615255i | ||||
\(389\) | −12.5630 | + | 7.25326i | −0.636970 | + | 0.367755i | −0.783446 | − | 0.621459i | \(-0.786540\pi\) |
0.146476 | + | 0.989214i | \(0.453207\pi\) | |||||||
\(390\) | −2.37317 | − | 27.2349i | −0.120170 | − | 1.37909i | ||||
\(391\) | 6.71696 | 0.339691 | ||||||||
\(392\) | −5.79747 | + | 18.9312i | −0.292817 | + | 0.956169i | ||||
\(393\) | 5.97969i | 0.301635i | ||||||||
\(394\) | −12.5740 | + | 11.8776i | −0.633471 | + | 0.598385i | ||||
\(395\) | 11.9811 | + | 1.76675i | 0.602832 | + | 0.0888949i | ||||
\(396\) | −3.08857 | + | 54.1749i | −0.155207 | + | 2.72239i | ||||
\(397\) | 29.3306 | + | 16.9340i | 1.47206 | + | 0.849895i | 0.999507 | − | 0.0314062i | \(-0.00999855\pi\) |
0.472555 | + | 0.881301i | \(0.343332\pi\) | |||||||
\(398\) | −15.7159 | − | 4.69453i | −0.787768 | − | 0.235315i | ||||
\(399\) | 0.0366292 | − | 0.0672773i | 0.00183375 | − | 0.00336808i | ||||
\(400\) | −16.0361 | + | 11.9517i | −0.801806 | + | 0.597584i | ||||
\(401\) | 2.50564 | − | 4.33990i | 0.125126 | − | 0.216724i | −0.796656 | − | 0.604433i | \(-0.793400\pi\) |
0.921782 | + | 0.387708i | \(0.126733\pi\) | |||||||
\(402\) | 19.2027 | − | 4.56359i | 0.957745 | − | 0.227611i | ||||
\(403\) | −13.3658 | + | 7.71678i | −0.665800 | + | 0.384400i | ||||
\(404\) | −5.47114 | + | 2.75613i | −0.272199 | + | 0.137123i | ||||
\(405\) | 0.395368 | + | 0.313236i | 0.0196460 | + | 0.0155648i | ||||
\(406\) | −6.88635 | − | 26.0593i | −0.341764 | − | 1.29330i | ||||
\(407\) | −2.53027 | −0.125421 | ||||||||
\(408\) | 20.8881 | − | 3.72283i | 1.03412 | − | 0.184307i | ||||
\(409\) | −24.6325 | + | 14.2216i | −1.21800 | + | 0.703211i | −0.964489 | − | 0.264123i | \(-0.914918\pi\) |
−0.253507 | + | 0.967333i | \(0.581584\pi\) | |||||||
\(410\) | 30.5641 | + | 14.2653i | 1.50946 | + | 0.704512i | ||||
\(411\) | −30.8206 | − | 17.7943i | −1.52027 | − | 0.877727i | ||||
\(412\) | −1.17321 | + | 1.78856i | −0.0577999 | + | 0.0881160i | ||||
\(413\) | −0.979852 | + | 0.0245271i | −0.0482154 | + | 0.00120690i | ||||
\(414\) | 16.3557 | + | 4.88564i | 0.803840 | + | 0.240116i | ||||
\(415\) | 23.5554 | − | 9.33171i | 1.15629 | − | 0.458076i | ||||
\(416\) | 10.4859 | + | 13.9951i | 0.514114 | + | 0.686166i | ||||
\(417\) | −15.3883 | + | 8.88443i | −0.753567 | + | 0.435072i | ||||
\(418\) | −0.0565920 | − | 0.0599103i | −0.00276801 | − | 0.00293031i | ||||
\(419\) | − | 11.6710i | − | 0.570167i | −0.958503 | − | 0.285083i | \(-0.907979\pi\) | ||
0.958503 | − | 0.285083i | \(-0.0920213\pi\) | |||||||
\(420\) | −31.1357 | + | 11.1987i | −1.51927 | + | 0.546443i | ||||
\(421\) | 11.0632i | 0.539185i | 0.962974 | + | 0.269593i | \(0.0868890\pi\) | ||||
−0.962974 | + | 0.269593i | \(0.913111\pi\) | |||||||
\(422\) | 5.75595 | − | 5.43714i | 0.280195 | − | 0.264676i | ||||
\(423\) | −5.97134 | + | 3.44755i | −0.290337 | + | 0.167626i | ||||
\(424\) | 4.17953 | − | 11.5493i | 0.202976 | − | 0.560885i | ||||
\(425\) | −12.8414 | − | 3.87143i | −0.622899 | − | 0.187792i | ||||
\(426\) | −10.5450 | + | 35.3015i | −0.510905 | + | 1.71036i | ||||
\(427\) | 10.1262 | − | 6.18930i | 0.490042 | − | 0.299521i | ||||
\(428\) | −1.04713 | + | 1.59634i | −0.0506147 | + | 0.0771622i | ||||
\(429\) | −42.1402 | − | 24.3297i | −2.03455 | − | 1.17465i | ||||
\(430\) | 27.0508 | + | 12.6255i | 1.30451 | + | 0.608855i | ||||
\(431\) | −23.4715 | + | 13.5513i | −1.13058 | + | 0.652741i | −0.944081 | − | 0.329714i | \(-0.893048\pi\) |
−0.186500 | + | 0.982455i | \(0.559714\pi\) | |||||||
\(432\) | 20.2298 | + | 2.31417i | 0.973309 | + | 0.111341i | ||||
\(433\) | 9.64178 | 0.463354 | 0.231677 | − | 0.972793i | \(-0.425579\pi\) | ||||
0.231677 | + | 0.972793i | \(0.425579\pi\) | |||||||
\(434\) | 13.1630 | + | 13.2541i | 0.631846 | + | 0.636219i | ||||
\(435\) | 27.9730 | − | 35.3077i | 1.34120 | − | 1.69287i | ||||
\(436\) | −0.771794 | − | 1.53207i | −0.0369622 | − | 0.0733730i | ||||
\(437\) | −0.0224519 | + | 0.0129626i | −0.00107402 | + | 0.000620085i | ||||
\(438\) | 8.23276 | + | 34.6419i | 0.393377 | + | 1.65526i | ||||
\(439\) | −12.9469 | + | 22.4247i | −0.617922 | + | 1.07027i | 0.371942 | + | 0.928256i | \(0.378692\pi\) |
−0.989864 | + | 0.142016i | \(0.954641\pi\) | |||||||
\(440\) | 1.06665 | + | 35.5823i | 0.0508507 | + | 1.69632i | ||||
\(441\) | −33.6999 | + | 1.68817i | −1.60476 | + | 0.0803890i | ||||
\(442\) | −3.35657 | + | 11.2368i | −0.159656 | + | 0.534482i | ||||
\(443\) | 11.1960 | + | 6.46402i | 0.531938 | + | 0.307115i | 0.741805 | − | 0.670615i | \(-0.233970\pi\) |
−0.209867 | + | 0.977730i | \(0.567303\pi\) | |||||||
\(444\) | −0.143108 | + | 2.51018i | −0.00679162 | + | 0.119128i | ||||
\(445\) | 2.32311 | + | 0.342570i | 0.110126 | + | 0.0162394i | ||||
\(446\) | 0.938936 | + | 0.993991i | 0.0444599 | + | 0.0470668i | ||||
\(447\) | 22.2465i | 1.05222i | ||||||||
\(448\) | 13.1342 | − | 16.5980i | 0.620532 | − | 0.784181i | ||||
\(449\) | 4.43065 | 0.209095 | 0.104548 | − | 0.994520i | \(-0.466661\pi\) | ||||
0.104548 | + | 0.994520i | \(0.466661\pi\) | |||||||
\(450\) | −28.4528 | − | 18.7672i | −1.34128 | − | 0.884694i | ||||
\(451\) | 51.9920 | − | 30.0176i | 2.44821 | − | 1.41347i | ||||
\(452\) | 4.27609 | + | 0.243785i | 0.201131 | + | 0.0114667i | ||||
\(453\) | −48.3208 | − | 27.8980i | −2.27031 | − | 1.31076i | ||||
\(454\) | 22.3608 | + | 6.67942i | 1.04944 | + | 0.313481i | ||||
\(455\) | 2.21449 | − | 18.1544i | 0.103817 | − | 0.851093i | ||||
\(456\) | −0.0626354 | + | 0.0527543i | −0.00293317 | + | 0.00247045i | ||||
\(457\) | 3.41299 | + | 1.97049i | 0.159653 | + | 0.0921756i | 0.577698 | − | 0.816251i | \(-0.303951\pi\) |
−0.418045 | + | 0.908426i | \(0.637285\pi\) | |||||||
\(458\) | 6.43180 | + | 27.0638i | 0.300538 | + | 1.26461i | ||||
\(459\) | 6.82745 | + | 11.8255i | 0.318678 | + | 0.551967i | ||||
\(460\) | 10.9676 | + | 2.26160i | 0.511368 | + | 0.105448i | ||||
\(461\) | 36.5212 | 1.70096 | 0.850481 | − | 0.526006i | \(-0.176311\pi\) | ||||
0.850481 | + | 0.526006i | \(0.176311\pi\) | |||||||
\(462\) | −15.4391 | + | 56.8348i | −0.718292 | + | 2.64419i | ||||
\(463\) | −12.7228 | −0.591279 | −0.295639 | − | 0.955300i | \(-0.595533\pi\) | ||||
−0.295639 | + | 0.955300i | \(0.595533\pi\) | |||||||
\(464\) | −3.27489 | + | 28.6282i | −0.152033 | + | 1.32903i | ||||
\(465\) | −4.55424 | + | 30.8841i | −0.211198 | + | 1.43222i | ||||
\(466\) | 33.7649 | − | 8.02432i | 1.56413 | − | 0.371719i | ||||
\(467\) | 11.0255 | − | 19.0967i | 0.510198 | − | 0.883689i | −0.489732 | − | 0.871873i | \(-0.662905\pi\) |
0.999930 | − | 0.0118159i | \(-0.00376120\pi\) | |||||||
\(468\) | −16.3464 | + | 24.9202i | −0.755614 | + | 1.15193i | ||||
\(469\) | 13.2002 | − | 0.330419i | 0.609527 | − | 0.0152573i | ||||
\(470\) | −3.70627 | + | 2.59323i | −0.170958 | + | 0.119617i | ||||
\(471\) | 5.30290 | + | 3.06163i | 0.244345 | + | 0.141072i | ||||
\(472\) | 0.985300 | + | 0.356566i | 0.0453521 | + | 0.0164123i | ||||
\(473\) | 46.0155 | − | 26.5671i | 2.11580 | − | 1.22156i | ||||
\(474\) | −14.7085 | − | 15.5709i | −0.675583 | − | 0.715195i | ||||
\(475\) | 0.0503944 | − | 0.0118412i | 0.00231225 | − | 0.000543313i | ||||
\(476\) | 14.1870 | + | 0.453049i | 0.650260 | + | 0.0207655i | ||||
\(477\) | 20.9320 | 0.958409 | ||||||||
\(478\) | −4.16066 | − | 4.40462i | −0.190304 | − | 0.201462i | ||||
\(479\) | −19.2131 | − | 33.2781i | −0.877870 | − | 1.52052i | −0.853674 | − | 0.520808i | \(-0.825631\pi\) |
−0.0241958 | − | 0.999707i | \(-0.507703\pi\) | |||||||
\(480\) | 35.3601 | + | 0.954294i | 1.61396 | + | 0.0435574i | ||||
\(481\) | −1.20352 | − | 0.694855i | −0.0548760 | − | 0.0316826i | ||||
\(482\) | 3.05915 | − | 10.2412i | 0.139340 | − | 0.466472i | ||||
\(483\) | 16.2715 | + | 8.85901i | 0.740378 | + | 0.403099i | ||||
\(484\) | 34.5851 | + | 22.6862i | 1.57205 | + | 1.03119i | ||||
\(485\) | 12.6175 | − | 4.99857i | 0.572933 | − | 0.226973i | ||||
\(486\) | −5.19977 | − | 21.8797i | −0.235866 | − | 0.992482i | ||||
\(487\) | 3.89253 | + | 6.74205i | 0.176387 | + | 0.305512i | 0.940640 | − | 0.339405i | \(-0.110226\pi\) |
−0.764253 | + | 0.644916i | \(0.776892\pi\) | |||||||
\(488\) | −12.4905 | + | 2.22615i | −0.565419 | + | 0.100773i | ||||
\(489\) | − | 41.1019i | − | 1.85869i | ||||||
\(490\) | −21.9286 | + | 3.02249i | −0.990634 | + | 0.136542i | ||||
\(491\) | 4.73617 | 0.213740 | 0.106870 | − | 0.994273i | \(-0.465917\pi\) | ||||
0.106870 | + | 0.994273i | \(0.465917\pi\) | |||||||
\(492\) | −26.8387 | − | 53.2770i | −1.20998 | − | 2.40191i | ||||
\(493\) | −16.7348 | + | 9.66184i | −0.753698 | + | 0.435148i | ||||
\(494\) | −0.0104656 | − | 0.0440375i | −0.000470871 | − | 0.00198134i | ||||
\(495\) | −56.4030 | + | 22.3446i | −2.53513 | + | 1.00432i | ||||
\(496\) | −7.95458 | − | 18.3170i | −0.357171 | − | 0.822455i | ||||
\(497\) | −11.7858 | + | 21.6472i | −0.528666 | + | 0.971009i | ||||
\(498\) | −42.9367 | − | 12.8257i | −1.92404 | − | 0.574733i | ||||
\(499\) | −9.26180 | + | 16.0419i | −0.414615 | + | 0.718134i | −0.995388 | − | 0.0959313i | \(-0.969417\pi\) |
0.580773 | + | 0.814066i | \(0.302750\pi\) | |||||||
\(500\) | −19.6643 | − | 10.6451i | −0.879412 | − | 0.476061i | ||||
\(501\) | 24.7522 | − | 14.2907i | 1.10585 | − | 0.638461i | ||||
\(502\) | −23.4631 | − | 24.8389i | −1.04721 | − | 1.10861i | ||||
\(503\) | 8.37050i | 0.373222i | 0.982434 | + | 0.186611i | \(0.0597504\pi\) | ||||
−0.982434 | + | 0.186611i | \(0.940250\pi\) | |||||||
\(504\) | 34.2157 | + | 11.4222i | 1.52409 | + | 0.508786i | ||||
\(505\) | −5.36855 | − | 4.25331i | −0.238897 | − | 0.189270i | ||||
\(506\) | 14.4897 | − | 13.6872i | 0.644146 | − | 0.608468i | ||||
\(507\) | 4.81444 | + | 8.33886i | 0.213817 | + | 0.370342i | ||||
\(508\) | −1.67864 | + | 29.4440i | −0.0744774 | + | 1.30637i | ||||
\(509\) | 17.2908 | − | 29.9486i | 0.766402 | − | 1.32745i | −0.173101 | − | 0.984904i | \(-0.555379\pi\) |
0.939502 | − | 0.342543i | \(-0.111288\pi\) | |||||||
\(510\) | 13.5994 | + | 19.4364i | 0.602191 | + | 0.860657i | ||||
\(511\) | 0.596079 | + | 23.8133i | 0.0263690 | + | 1.05344i | ||||
\(512\) | −19.5331 | + | 11.4218i | −0.863249 | + | 0.504779i | ||||
\(513\) | −0.0456424 | − | 0.0263516i | −0.00201516 | − | 0.00116345i | ||||
\(514\) | −3.50895 | − | 14.7650i | −0.154773 | − | 0.651256i | ||||
\(515\) | −2.36590 | − | 0.348881i | −0.104254 | − | 0.0153735i | ||||
\(516\) | −23.7536 | − | 47.1528i | −1.04569 | − | 2.07579i | ||||
\(517\) | 8.05129i | 0.354095i | ||||||||
\(518\) | −0.440940 | + | 1.62320i | −0.0193738 | + | 0.0713193i | ||||
\(519\) | 65.3487i | 2.86849i | ||||||||
\(520\) | −9.26414 | + | 17.2176i | −0.406259 | + | 0.755043i | ||||
\(521\) | −19.8789 | + | 11.4771i | −0.870912 | + | 0.502821i | −0.867651 | − | 0.497174i | \(-0.834371\pi\) |
−0.00326053 | + | 0.999995i | \(0.501038\pi\) | |||||||
\(522\) | −47.7767 | + | 11.3543i | −2.09113 | + | 0.496963i | ||||
\(523\) | −10.7152 | + | 18.5593i | −0.468543 | + | 0.811541i | −0.999354 | − | 0.0359497i | \(-0.988554\pi\) |
0.530810 | + | 0.847491i | \(0.321888\pi\) | |||||||
\(524\) | 2.34563 | − | 3.57592i | 0.102469 | − | 0.156215i | ||||
\(525\) | −26.0016 | − | 26.3149i | −1.13480 | − | 1.14847i | ||||
\(526\) | −29.4354 | − | 8.79268i | −1.28344 | − | 0.383379i | ||||
\(527\) | 6.69596 | − | 11.5977i | 0.291681 | − | 0.505206i | ||||
\(528\) | 37.4734 | − | 50.5945i | 1.63082 | − | 2.20184i | ||||
\(529\) | 8.36491 | + | 14.4884i | 0.363692 | + | 0.629933i | ||||
\(530\) | 13.6802 | − | 1.19205i | 0.594231 | − | 0.0517796i | ||||
\(531\) | 1.78576i | 0.0774952i | ||||||||
\(532\) | −0.0482952 | + | 0.0258641i | −0.00209386 | + | 0.00112135i | ||||
\(533\) | 32.9734 | 1.42823 | ||||||||
\(534\) | −2.85195 | − | 3.01917i | −0.123416 | − | 0.130652i | ||||
\(535\) | −2.11164 | − | 0.311387i | −0.0912941 | − | 0.0134624i | ||||
\(536\) | −13.2736 | − | 4.80351i | −0.573331 | − | 0.207480i | ||||
\(537\) | 28.6894 | − | 49.6914i | 1.23804 | − | 2.14434i | ||||
\(538\) | −30.0651 | − | 8.98079i | −1.29620 | − | 0.387189i | ||||
\(539\) | −17.9682 | + | 35.0643i | −0.773945 | + | 1.51033i | ||||
\(540\) | 7.16639 | + | 21.6078i | 0.308393 | + | 0.929850i | ||||
\(541\) | −8.22241 | − | 4.74721i | −0.353509 | − | 0.204099i | 0.312721 | − | 0.949845i | \(-0.398760\pi\) |
−0.666230 | + | 0.745747i | \(0.732093\pi\) | |||||||
\(542\) | −0.705889 | − | 2.97025i | −0.0303205 | − | 0.127583i | ||||
\(543\) | −14.1500 | − | 24.5085i | −0.607235 | − | 1.05176i | ||||
\(544\) | −13.9516 | − | 5.96741i | −0.598172 | − | 0.255851i | ||||
\(545\) | 1.19105 | − | 1.50335i | 0.0510188 | − | 0.0643963i | ||||
\(546\) | −22.9514 | + | 22.7936i | −0.982229 | + | 0.975478i | ||||
\(547\) | − | 39.4155i | − | 1.68528i | −0.538474 | − | 0.842642i | \(-0.680999\pi\) | ||
0.538474 | − | 0.842642i | \(-0.319001\pi\) | |||||||
\(548\) | 11.4509 | + | 22.7310i | 0.489160 | + | 0.971021i | ||||
\(549\) | −10.8111 | − | 18.7254i | −0.461407 | − | 0.799180i | ||||
\(550\) | −35.5900 | + | 17.8156i | −1.51756 | + | 0.759658i | ||||
\(551\) | 0.0372914 | − | 0.0645906i | 0.00158867 | − | 0.00275165i | ||||
\(552\) | −12.7590 | − | 15.1488i | −0.543058 | − | 0.644776i | ||||
\(553\) | −7.47303 | − | 12.2265i | −0.317785 | − | 0.519924i | ||||
\(554\) | 10.8973 | + | 3.25515i | 0.462982 | + | 0.138298i | ||||
\(555\) | −2.61342 | + | 1.03533i | −0.110933 | + | 0.0439474i | ||||
\(556\) | 12.6874 | + | 0.723323i | 0.538066 | + | 0.0306757i | ||||
\(557\) | 6.09239 | + | 10.5523i | 0.258143 | + | 0.447116i | 0.965744 | − | 0.259495i | \(-0.0835562\pi\) |
−0.707602 | + | 0.706612i | \(0.750223\pi\) | |||||||
\(558\) | 24.7403 | − | 23.3700i | 1.04734 | − | 0.989332i | ||||
\(559\) | 29.1831 | 1.23431 | ||||||||
\(560\) | 23.0123 | + | 5.51651i | 0.972449 | + | 0.233115i | ||||
\(561\) | 42.2224 | 1.78263 | ||||||||
\(562\) | −12.4919 | + | 11.8000i | −0.526937 | + | 0.497751i | ||||
\(563\) | −13.1210 | − | 22.7262i | −0.552983 | − | 0.957795i | −0.998057 | − | 0.0623013i | \(-0.980156\pi\) |
0.445074 | − | 0.895494i | \(-0.353177\pi\) | |||||||
\(564\) | 7.98737 | + | 0.455369i | 0.336329 | + | 0.0191745i | ||||
\(565\) | 1.76369 | + | 4.45196i | 0.0741989 | + | 0.187295i | ||||
\(566\) | −20.5773 | − | 6.14667i | −0.864929 | − | 0.258364i | ||||
\(567\) | −0.0149348 | − | 0.596642i | −0.000627203 | − | 0.0250566i | ||||
\(568\) | 20.1536 | − | 16.9742i | 0.845626 | − | 0.712223i | ||||
\(569\) | 2.65884 | − | 4.60525i | 0.111465 | − | 0.193062i | −0.804896 | − | 0.593415i | \(-0.797779\pi\) |
0.916361 | + | 0.400353i | \(0.131113\pi\) | |||||||
\(570\) | −0.0829657 | − | 0.0387228i | −0.00347505 | − | 0.00162192i | ||||
\(571\) | −22.7432 | − | 39.3924i | −0.951774 | − | 1.64852i | −0.741583 | − | 0.670861i | \(-0.765925\pi\) |
−0.210191 | − | 0.977660i | \(-0.567409\pi\) | |||||||
\(572\) | 15.6566 | + | 31.0796i | 0.654635 | + | 1.29950i | ||||
\(573\) | − | 33.2382i | − | 1.38855i | ||||||
\(574\) | −10.1962 | − | 38.5846i | −0.425582 | − | 1.61049i | ||||
\(575\) | 2.86388 | + | 12.1882i | 0.119432 | + | 0.508284i | ||||
\(576\) | −29.6317 | − | 24.6784i | −1.23465 | − | 1.02827i | ||||
\(577\) | 11.2954 | + | 19.5642i | 0.470234 | + | 0.814469i | 0.999421 | − | 0.0340364i | \(-0.0108362\pi\) |
−0.529187 | + | 0.848505i | \(0.677503\pi\) | |||||||
\(578\) | 3.20590 | + | 13.4898i | 0.133348 | + | 0.561103i | ||||
\(579\) | 4.08496 | + | 2.35845i | 0.169765 | + | 0.0980140i | ||||
\(580\) | −30.5782 | + | 10.1415i | −1.26969 | + | 0.421103i | ||||
\(581\) | −26.3291 | − | 14.3349i | −1.09232 | − | 0.594712i | ||||
\(582\) | −22.9992 | − | 6.87013i | −0.953348 | − | 0.284776i | ||||
\(583\) | 12.2209 | − | 21.1673i | 0.506139 | − | 0.876658i | ||||
\(584\) | 8.66559 | − | 23.9457i | 0.358585 | − | 0.990879i | ||||
\(585\) | −32.9643 | − | 4.86099i | −1.36291 | − | 0.200977i | ||||
\(586\) | 19.9827 | + | 21.1544i | 0.825479 | + | 0.873881i | ||||
\(587\) | 1.24935 | 0.0515660 | 0.0257830 | − | 0.999668i | \(-0.491792\pi\) | ||||
0.0257830 | + | 0.999668i | \(0.491792\pi\) | |||||||
\(588\) | 33.7697 | + | 19.8087i | 1.39264 | + | 0.816899i | ||||
\(589\) | 0.0516882i | 0.00212978i | ||||||||
\(590\) | 0.101697 | + | 1.16709i | 0.00418680 | + | 0.0480484i | ||||
\(591\) | 17.1016 | + | 29.6208i | 0.703464 | + | 1.21844i | ||||
\(592\) | 1.07024 | − | 1.44498i | 0.0439866 | − | 0.0593882i | ||||
\(593\) | −0.393538 | + | 0.681629i | −0.0161607 | + | 0.0279911i | −0.873993 | − | 0.485939i | \(-0.838478\pi\) |
0.857832 | + | 0.513930i | \(0.171811\pi\) | |||||||
\(594\) | 38.8249 | + | 11.5974i | 1.59300 | + | 0.475848i | ||||
\(595\) | 6.21233 | + | 14.6032i | 0.254681 | + | 0.598671i | ||||
\(596\) | 8.72655 | − | 13.3036i | 0.357453 | − | 0.544938i | ||||
\(597\) | −16.2168 | + | 28.0884i | −0.663711 | + | 1.14958i | ||||
\(598\) | 10.6508 | − | 2.53118i | 0.435542 | − | 0.103508i | ||||
\(599\) | −31.1544 | + | 17.9870i | −1.27293 | + | 0.734929i | −0.975539 | − | 0.219826i | \(-0.929451\pi\) |
−0.297395 | + | 0.954755i | \(0.596118\pi\) | |||||||
\(600\) | 15.6612 | + | 36.3151i | 0.639366 | + | 1.48256i | ||||
\(601\) | 29.9875i | 1.22322i | 0.791161 | + | 0.611608i | \(0.209477\pi\) | ||||
−0.791161 | + | 0.611608i | \(0.790523\pi\) | |||||||
\(602\) | −9.02416 | − | 34.1493i | −0.367797 | − | 1.39182i | ||||
\(603\) | − | 24.0570i | − | 0.979676i | ||||||
\(604\) | 17.9529 | + | 35.6379i | 0.730493 | + | 1.45009i | ||||
\(605\) | −6.74627 | + | 45.7491i | −0.274275 | + | 1.85997i | ||||
\(606\) | 2.80089 | + | 11.7856i | 0.113779 | + | 0.478759i | ||||
\(607\) | −12.3990 | − | 7.15859i | −0.503262 | − | 0.290558i | 0.226798 | − | 0.973942i | \(-0.427174\pi\) |
−0.730060 | + | 0.683384i | \(0.760508\pi\) | |||||||
\(608\) | 0.0581503 | − | 0.00697785i | 0.00235831 | − | 0.000282989i | ||||
\(609\) | −53.2822 | + | 1.33373i | −2.15910 | + | 0.0540454i | ||||
\(610\) | −8.13206 | − | 11.6224i | −0.329258 | − | 0.470578i | ||||
\(611\) | −2.21102 | + | 3.82960i | −0.0894483 | + | 0.154929i | ||||
\(612\) | 1.47195 | − | 25.8186i | 0.0594999 | − | 1.04365i | ||||
\(613\) | 0.332888 | + | 0.576579i | 0.0134452 | + | 0.0232878i | 0.872670 | − | 0.488311i | \(-0.162387\pi\) |
−0.859225 | + | 0.511599i | \(0.829053\pi\) | |||||||
\(614\) | 5.28220 | − | 4.98963i | 0.213172 | − | 0.201365i | ||||
\(615\) | 41.4180 | − | 52.2780i | 1.67013 | − | 2.10805i | ||||
\(616\) | 31.5271 | − | 27.9315i | 1.27026 | − | 1.12539i | ||||
\(617\) | − | 10.1780i | − | 0.409753i | −0.978788 | − | 0.204876i | \(-0.934321\pi\) | ||
0.978788 | − | 0.204876i | \(-0.0656792\pi\) | |||||||
\(618\) | 2.90449 | + | 3.07479i | 0.116836 | + | 0.123686i | ||||
\(619\) | 4.94937 | − | 2.85752i | 0.198932 | − | 0.114853i | −0.397225 | − | 0.917721i | \(-0.630027\pi\) |
0.596157 | + | 0.802868i | \(0.296693\pi\) | |||||||
\(620\) | 14.8383 | − | 16.6826i | 0.595920 | − | 0.669988i | ||||
\(621\) | 6.37332 | − | 11.0389i | 0.255753 | − | 0.442976i | ||||
\(622\) | −29.0447 | − | 8.67599i | −1.16459 | − | 0.347876i | ||||
\(623\) | −1.44901 | − | 2.37070i | −0.0580533 | − | 0.0949802i | ||||
\(624\) | 31.7184 | − | 13.7745i | 1.26975 | − | 0.551420i | ||||
\(625\) | 1.54974 | − | 24.9519i | 0.0619897 | − | 0.998077i | ||||
\(626\) | −0.381235 | − | 1.60417i | −0.0152372 | − | 0.0641154i | ||||
\(627\) | −0.141131 | + | 0.0814821i | −0.00563624 | + | 0.00325408i | ||||
\(628\) | −1.97021 | − | 3.91103i | −0.0786200 | − | 0.156067i | ||||
\(629\) | 1.20587 | 0.0480812 | ||||||||
\(630\) | 4.50522 | + | 40.0771i | 0.179492 | + | 1.59671i | ||||
\(631\) | − | 49.0996i | − | 1.95463i | −0.211800 | − | 0.977313i | \(-0.567933\pi\) | ||
0.211800 | − | 0.977313i | \(-0.432067\pi\) | |||||||
\(632\) | 2.68788 | + | 15.0812i | 0.106918 | + | 0.599898i | ||||
\(633\) | −7.82849 | − | 13.5593i | −0.311154 | − | 0.538935i | ||||
\(634\) | 4.85080 | + | 20.4113i | 0.192650 | + | 0.810636i | ||||
\(635\) | −30.6549 | + | 12.1443i | −1.21650 | + | 0.481930i | ||||
\(636\) | −20.3080 | − | 13.3211i | −0.805266 | − | 0.528216i | ||||
\(637\) | −18.1758 | + | 11.7440i | −0.720153 | + | 0.465314i | ||||
\(638\) | −16.4121 | + | 54.9429i | −0.649760 | + | 2.17521i | ||||
\(639\) | 38.8894 | + | 22.4528i | 1.53844 | + | 0.888219i | ||||
\(640\) | −20.7714 | − | 14.4413i | −0.821061 | − | 0.570841i | ||||
\(641\) | 2.06139 | + | 3.57044i | 0.0814201 | + | 0.141024i | 0.903860 | − | 0.427828i | \(-0.140721\pi\) |
−0.822440 | + | 0.568852i | \(0.807388\pi\) | |||||||
\(642\) | 2.59234 | + | 2.74434i | 0.102312 | + | 0.108311i | ||||
\(643\) | 23.6589 | 0.933017 | 0.466509 | − | 0.884517i | \(-0.345512\pi\) | ||||
0.466509 | + | 0.884517i | \(0.345512\pi\) | |||||||
\(644\) | −6.25542 | − | 11.6805i | −0.246498 | − | 0.460277i | ||||
\(645\) | 36.6570 | − | 46.2687i | 1.44337 | − | 1.82183i | ||||
\(646\) | 0.0269705 | + | 0.0285519i | 0.00106114 | + | 0.00112336i | ||||
\(647\) | −17.0060 | + | 9.81839i | −0.668573 | + | 0.386001i | −0.795536 | − | 0.605907i | \(-0.792811\pi\) |
0.126963 | + | 0.991908i | \(0.459477\pi\) | |||||||
\(648\) | −0.217117 | + | 0.599960i | −0.00852915 | + | 0.0235687i | ||||
\(649\) | 1.80583 | + | 1.04260i | 0.0708850 | + | 0.0409255i | ||||
\(650\) | −21.8209 | − | 1.29964i | −0.855885 | − | 0.0509763i | ||||
\(651\) | 31.5169 | − | 19.2636i | 1.23524 | − | 0.755000i | ||||
\(652\) | −16.1229 | + | 24.5794i | −0.631422 | + | 0.962603i | ||||
\(653\) | 6.03366 | − | 10.4506i | 0.236115 | − | 0.408964i | −0.723481 | − | 0.690344i | \(-0.757459\pi\) |
0.959596 | + | 0.281381i | \(0.0907923\pi\) | |||||||
\(654\) | −3.30031 | + | 0.784329i | −0.129052 | + | 0.0306697i | ||||
\(655\) | 4.73021 | + | 0.697527i | 0.184825 | + | 0.0272546i | ||||
\(656\) | −4.84895 | + | 42.3881i | −0.189320 | + | 1.65498i | ||||
\(657\) | 43.3991 | 1.69316 | ||||||||
\(658\) | 5.16500 | + | 1.40307i | 0.201353 | + | 0.0546972i | ||||
\(659\) | 39.2192 | 1.52776 | 0.763881 | − | 0.645357i | \(-0.223291\pi\) | ||||
0.763881 | + | 0.645357i | \(0.223291\pi\) | |||||||
\(660\) | 68.9419 | + | 14.2163i | 2.68356 | + | 0.553368i | ||||
\(661\) | −21.5274 | − | 37.2866i | −0.837319 | − | 1.45028i | −0.892128 | − | 0.451783i | \(-0.850788\pi\) |
0.0548084 | − | 0.998497i | \(-0.482545\pi\) | |||||||
\(662\) | −5.06268 | − | 21.3028i | −0.196767 | − | 0.827957i | ||||
\(663\) | 20.0831 | + | 11.5950i | 0.779964 | + | 0.450312i | ||||
\(664\) | 20.6455 | + | 24.5125i | 0.801201 | + | 0.951270i | ||||
\(665\) | −0.0489467 | − | 0.0368232i | −0.00189807 | − | 0.00142794i | ||||
\(666\) | 2.93628 | + | 0.877101i | 0.113779 | + | 0.0339870i | ||||
\(667\) | 15.6217 | + | 9.01918i | 0.604874 | + | 0.349224i | ||||
\(668\) | −20.4078 | − | 1.16347i | −0.789602 | − | 0.0450161i | ||||
\(669\) | 2.34155 | − | 1.35190i | 0.0905297 | − | 0.0522673i | ||||
\(670\) | −1.37002 | − | 15.7226i | −0.0529285 | − | 0.607416i | ||||
\(671\) | −25.2479 | −0.974683 | ||||||||
\(672\) | −25.9267 | − | 32.8566i | −1.00014 | − | 1.26747i | ||||
\(673\) | 9.18260i | 0.353963i | 0.984214 | + | 0.176982i | \(0.0566333\pi\) | ||||
−0.984214 | + | 0.176982i | \(0.943367\pi\) | |||||||
\(674\) | −27.9514 | − | 29.5904i | −1.07665 | − | 1.13978i | ||||
\(675\) | −18.5469 | + | 17.4307i | −0.713870 | + | 0.670908i | ||||
\(676\) | 0.391967 | − | 6.87527i | 0.0150756 | − | 0.264433i | ||||
\(677\) | −28.6670 | − | 16.5509i | −1.10176 | − | 0.636102i | −0.165078 | − | 0.986280i | \(-0.552788\pi\) |
−0.936683 | + | 0.350178i | \(0.886121\pi\) | |||||||
\(678\) | 2.42405 | − | 8.11501i | 0.0930950 | − | 0.311655i | ||||
\(679\) | −14.1033 | − | 7.67855i | −0.541235 | − | 0.294676i | ||||
\(680\) | −0.508344 | − | 16.9577i | −0.0194941 | − | 0.650299i | ||||
\(681\) | 23.0735 | − | 39.9645i | 0.884178 | − | 1.53144i | ||||
\(682\) | −9.18833 | − | 38.6628i | −0.351839 | − | 1.48047i | ||||
\(683\) | 6.48677 | − | 3.74514i | 0.248209 | − | 0.143304i | −0.370735 | − | 0.928739i | \(-0.620894\pi\) |
0.618944 | + | 0.785435i | \(0.287561\pi\) | |||||||
\(684\) | 0.0449054 | + | 0.0891409i | 0.00171700 | + | 0.00340839i | ||||
\(685\) | −17.6713 | + | 22.3048i | −0.675185 | + | 0.852223i | ||||
\(686\) | 19.3630 | + | 17.6373i | 0.739281 | + | 0.673397i | ||||
\(687\) | 55.0068 | 2.09864 | ||||||||
\(688\) | −4.29156 | + | 37.5156i | −0.163614 | + | 1.43027i | ||||
\(689\) | 11.6258 | − | 6.71214i | 0.442907 | − | 0.255712i | ||||
\(690\) | 9.36537 | − | 20.0658i | 0.356534 | − | 0.763893i | ||||
\(691\) | 33.9093 | + | 19.5776i | 1.28997 | + | 0.744766i | 0.978649 | − | 0.205538i | \(-0.0658945\pi\) |
0.311323 | + | 0.950304i | \(0.399228\pi\) | |||||||
\(692\) | 25.6341 | − | 39.0792i | 0.974462 | − | 1.48557i | ||||
\(693\) | 63.0446 | + | 34.3247i | 2.39487 | + | 1.30389i | ||||
\(694\) | 2.05857 | − | 6.89150i | 0.0781422 | − | 0.261598i | ||||
\(695\) | 5.23296 | + | 13.2092i | 0.198497 | + | 0.501054i | ||||
\(696\) | 53.5785 | + | 19.3893i | 2.03089 | + | 0.734948i | ||||
\(697\) | −24.7783 | + | 14.3057i | −0.938543 | + | 0.541868i | ||||
\(698\) | 14.0852 | − | 13.3051i | 0.533133 | − | 0.503604i | ||||
\(699\) | − | 68.6265i | − | 2.59569i | ||||||
\(700\) | 5.22677 | + | 25.9361i | 0.197553 | + | 0.980292i | ||||
\(701\) | 27.0282i | 1.02084i | 0.859925 | + | 0.510420i | \(0.170510\pi\) | ||||
−0.859925 | + | 0.510420i | \(0.829490\pi\) | |||||||
\(702\) | 15.2822 | + | 16.1783i | 0.576790 | + | 0.610610i | ||||
\(703\) | −0.00403070 | + | 0.00232713i | −0.000152021 | + | 8.77692e-5i | ||||
\(704\) | −42.2560 | + | 15.5565i | −1.59258 | + | 0.586307i | ||||
\(705\) | 3.29442 | + | 8.31587i | 0.124075 | + | 0.313194i | ||||
\(706\) | −2.23638 | − | 0.668033i | −0.0841674 | − | 0.0251418i | ||||
\(707\) | 0.202794 | + | 8.10158i | 0.00762686 | + | 0.304691i | ||||
\(708\) | 1.13645 | − | 1.73253i | 0.0427106 | − | 0.0651123i | ||||
\(709\) | 21.4335 | + | 12.3746i | 0.804952 | + | 0.464739i | 0.845200 | − | 0.534451i | \(-0.179481\pi\) |
−0.0402480 | + | 0.999190i | \(0.512815\pi\) | |||||||
\(710\) | 26.6951 | + | 12.4595i | 1.00185 | + | 0.467595i | ||||
\(711\) | −22.6093 | + | 13.0535i | −0.847913 | + | 0.489543i | ||||
\(712\) | 0.521175 | + | 2.92422i | 0.0195319 | + | 0.109590i | ||||
\(713\) | −12.5012 | −0.468172 | ||||||||
\(714\) | 7.35794 | − | 27.0862i | 0.275364 | − | 1.01368i | ||||
\(715\) | −24.1615 | + | 30.4968i | −0.903590 | + | 1.14052i | ||||
\(716\) | −36.6488 | + | 18.4621i | −1.36963 | + | 0.689962i | ||||
\(717\) | −10.3760 | + | 5.99058i | −0.387499 | + | 0.223722i | ||||
\(718\) | 46.8420 | − | 11.1321i | 1.74813 | − | 0.415448i | ||||
\(719\) | 9.45728 | − | 16.3805i | 0.352697 | − | 0.610889i | −0.634024 | − | 0.773313i | \(-0.718598\pi\) |
0.986721 | + | 0.162424i | \(0.0519313\pi\) | |||||||
\(720\) | 11.0965 | − | 41.6617i | 0.413544 | − | 1.55264i | ||||
\(721\) | 1.47570 | + | 2.41437i | 0.0549580 | + | 0.0899160i | ||||
\(722\) | 25.7458 | + | 7.69057i | 0.958160 | + | 0.286213i | ||||
\(723\) | −18.3036 | − | 10.5676i | −0.680717 | − | 0.393012i | ||||
\(724\) | −1.15202 | + | 20.2069i | −0.0428145 | + | 0.750985i | ||||
\(725\) | −24.6670 | − | 26.2466i | −0.916109 | − | 0.974773i | ||||
\(726\) | 59.4568 | − | 56.1637i | 2.20665 | − | 2.08443i | ||||
\(727\) | 36.7341i | 1.36239i | 0.732100 | + | 0.681197i | \(0.238540\pi\) | ||||
−0.732100 | + | 0.681197i | \(0.761460\pi\) | |||||||
\(728\) | 22.6664 | − | 4.62778i | 0.840071 | − | 0.171517i | ||||
\(729\) | −43.7934 | −1.62198 | ||||||||
\(730\) | 28.3637 | − | 2.47153i | 1.04979 | − | 0.0914756i | ||||
\(731\) | −21.9300 | + | 12.6613i | −0.811110 | + | 0.468295i | ||||
\(732\) | −1.42798 | + | 25.0474i | −0.0527797 | + | 0.925780i | ||||
\(733\) | −29.6150 | − | 17.0982i | −1.09386 | − | 0.631538i | −0.159256 | − | 0.987237i | \(-0.550909\pi\) |
−0.934600 | + | 0.355699i | \(0.884243\pi\) | |||||||
\(734\) | −4.61255 | + | 15.4415i | −0.170252 | + | 0.569956i | ||||
\(735\) | −4.21110 | + | 43.5688i | −0.155329 | + | 1.60706i | ||||
\(736\) | 1.68764 | + | 14.0641i | 0.0622073 | + | 0.518408i | ||||
\(737\) | −24.3274 | − | 14.0454i | −0.896112 | − | 0.517370i | ||||
\(738\) | −70.7402 | + | 16.8116i | −2.60398 | + | 0.618844i | ||||
\(739\) | 4.15465 | + | 7.19607i | 0.152831 | + | 0.264712i | 0.932267 | − | 0.361770i | \(-0.117828\pi\) |
−0.779436 | + | 0.626482i | \(0.784494\pi\) | |||||||
\(740\) | 1.96898 | + | 0.406017i | 0.0723810 | + | 0.0149255i | ||||
\(741\) | −0.0895055 | −0.00328807 | ||||||||
\(742\) | −11.4494 | − | 11.5286i | −0.420320 | − | 0.423229i | ||||
\(743\) | 35.6106 | 1.30642 | 0.653212 | − | 0.757175i | \(-0.273421\pi\) | ||||
0.653212 | + | 0.757175i | \(0.273421\pi\) | |||||||
\(744\) | −38.8755 | + | 6.92868i | −1.42525 | + | 0.254018i | ||||
\(745\) | 17.5980 | + | 2.59504i | 0.644741 | + | 0.0950749i | ||||
\(746\) | −9.72106 | − | 40.9044i | −0.355913 | − | 1.49762i | ||||
\(747\) | −27.3090 | + | 47.3006i | −0.999185 | + | 1.73064i | ||||
\(748\) | −25.2494 | − | 16.5624i | −0.923211 | − | 0.605583i | ||||
\(749\) | 1.31711 | + | 2.15490i | 0.0481261 | + | 0.0787384i | ||||
\(750\) | −29.4698 | + | 32.9637i | −1.07609 | + | 1.20366i | ||||
\(751\) | −2.56757 | − | 1.48238i | −0.0936918 | − | 0.0540930i | 0.452422 | − | 0.891804i | \(-0.350560\pi\) |
−0.546114 | + | 0.837711i | \(0.683893\pi\) | |||||||
\(752\) | −4.59790 | − | 3.40549i | −0.167668 | − | 0.124185i | ||||
\(753\) | −58.5132 | + | 33.7826i | −2.13234 | + | 1.23111i | ||||
\(754\) | −22.8946 | + | 21.6266i | −0.833774 | + | 0.787593i | ||||
\(755\) | −27.7052 | + | 34.9697i | −1.00830 | + | 1.27268i | ||||
\(756\) | 14.2057 | − | 22.8856i | 0.516658 | − | 0.832341i | ||||
\(757\) | −50.4876 | −1.83500 | −0.917502 | − | 0.397732i | \(-0.869797\pi\) | ||||
−0.917502 | + | 0.397732i | \(0.869797\pi\) | |||||||
\(758\) | 36.7133 | − | 34.6798i | 1.33349 | − | 1.25963i | ||||
\(759\) | −19.7070 | − | 34.1335i | −0.715319 | − | 1.23897i | ||||
\(760\) | 0.0344247 | + | 0.0557013i | 0.00124872 | + | 0.00202050i | ||||
\(761\) | 34.8961 | + | 20.1473i | 1.26498 | + | 0.730339i | 0.974035 | − | 0.226399i | \(-0.0726955\pi\) |
0.290950 | + | 0.956738i | \(0.406029\pi\) | |||||||
\(762\) | 55.8777 | + | 16.6913i | 2.02424 | + | 0.604663i | ||||
\(763\) | −2.26867 | + | 0.0567881i | −0.0821314 | + | 0.00205587i | ||||
\(764\) | −13.0382 | + | 19.8768i | −0.471706 | + | 0.719117i | ||||
\(765\) | 26.8804 | − | 10.6490i | 0.971864 | − | 0.385014i | ||||
\(766\) | −43.0018 | + | 10.2195i | −1.55372 | + | 0.369246i | ||||
\(767\) | 0.572629 | + | 0.991823i | 0.0206764 | + | 0.0358126i | ||||
\(768\) | 13.0431 | + | 42.8004i | 0.470651 | + | 1.54443i | ||||
\(769\) | − | 19.4159i | − | 0.700154i | −0.936721 | − | 0.350077i | \(-0.886155\pi\) | ||
0.936721 | − | 0.350077i | \(-0.113845\pi\) | |||||||
\(770\) | 43.1580 | + | 18.8428i | 1.55531 | + | 0.679047i | ||||
\(771\) | −30.0096 | −1.08077 | ||||||||
\(772\) | −1.51771 | − | 3.01277i | −0.0546235 | − | 0.108432i | ||||
\(773\) | −3.26975 | + | 1.88779i | −0.117605 | + | 0.0678992i | −0.557649 | − | 0.830077i | \(-0.688296\pi\) |
0.440044 | + | 0.897976i | \(0.354963\pi\) | |||||||
\(774\) | −62.6086 | + | 14.8791i | −2.25042 | + | 0.534819i | ||||
\(775\) | 23.8995 | + | 7.20523i | 0.858497 | + | 0.258820i | ||||
\(776\) | 11.0588 | + | 13.1302i | 0.396989 | + | 0.471347i | ||||
\(777\) | 2.92116 | + | 1.59043i | 0.104796 | + | 0.0570562i | ||||
\(778\) | 5.87179 | − | 19.6571i | 0.210514 | − | 0.704740i | ||||
\(779\) | 0.0552152 | − | 0.0956356i | 0.00197829 | − | 0.00342650i | ||||
\(780\) | 28.8882 | + | 25.6946i | 1.03436 | + | 0.920014i | ||||
\(781\) | 45.4104 | − | 26.2177i | 1.62491 | − | 0.938144i | ||||
\(782\) | −6.90548 | + | 6.52300i | −0.246939 | + | 0.233262i | ||||
\(783\) | 36.6702i | 1.31049i | ||||||||
\(784\) | −12.4243 | − | 25.0925i | −0.443726 | − | 0.896162i | ||||
\(785\) | 3.04047 | − | 3.83770i | 0.108519 | − | 0.136973i | ||||
\(786\) | −5.80702 | − | 6.14751i | −0.207130 | − | 0.219275i | ||||
\(787\) | −14.3939 | − | 24.9309i | −0.513086 | − | 0.888691i | −0.999885 | − | 0.0151767i | \(-0.995169\pi\) |
0.486799 | − | 0.873514i | \(-0.338164\pi\) | |||||||
\(788\) | 1.39232 | − | 24.4219i | 0.0495993 | − | 0.869994i | ||||
\(789\) | −30.3736 | + | 52.6086i | −1.08133 | + | 1.87291i | ||||
\(790\) | −14.0330 | + | 9.81875i | −0.499273 | + | 0.349335i | ||||
\(791\) | 2.70929 | − | 4.97619i | 0.0963313 | − | 0.176933i | ||||
\(792\) | −49.4353 | − | 58.6948i | −1.75661 | − | 2.08563i | ||||
\(793\) | −12.0092 | − | 6.93349i | −0.426458 | − | 0.246215i | ||||
\(794\) | −46.5988 | + | 11.0744i | −1.65373 | + | 0.393014i | ||||
\(795\) | 3.96134 | − | 26.8634i | 0.140494 | − | 0.952747i | ||||
\(796\) | 20.7160 | − | 10.4358i | 0.734258 | − | 0.369888i | ||||
\(797\) | 34.9190i | 1.23690i | 0.785826 | + | 0.618448i | \(0.212238\pi\) | ||||
−0.785826 | + | 0.618448i | \(0.787762\pi\) | |||||||
\(798\) | 0.0276774 | + | 0.104737i | 0.000979770 | + | 0.00370765i | ||||
\(799\) | − | 3.83707i | − | 0.135746i | ||||||
\(800\) | 4.87963 | − | 27.8602i | 0.172521 | − | 0.985006i | ||||
\(801\) | −4.38390 | + | 2.53105i | −0.154897 | + | 0.0894301i | ||||
\(802\) | 1.63861 | + | 6.89499i | 0.0578615 | + | 0.243470i | ||||
\(803\) | 25.3381 | − | 43.8869i | 0.894163 | − | 1.54874i | ||||
\(804\) | −15.3099 | + | 23.3399i | −0.539937 | + | 0.823134i | ||||
\(805\) | 8.90595 | − | 11.8381i | 0.313893 | − | 0.417238i | ||||
\(806\) | 6.24702 | − | 20.9132i | 0.220042 | − | 0.736638i | ||||
\(807\) | −31.0234 | + | 53.7341i | −1.09207 | + | 1.89153i | ||||
\(808\) | 2.94815 | − | 8.14663i | 0.103715 | − | 0.286598i | ||||
\(809\) | −1.15788 | − | 2.00552i | −0.0407091 | − | 0.0705102i | 0.844953 | − | 0.534841i | \(-0.179628\pi\) |
−0.885662 | + | 0.464330i | \(0.846295\pi\) | |||||||
\(810\) | −0.710654 | + | 0.0619244i | −0.0249699 | + | 0.00217580i | ||||
\(811\) | 22.2021i | 0.779621i | 0.920895 | + | 0.389811i | \(0.127460\pi\) | ||||
−0.920895 | + | 0.389811i | \(0.872540\pi\) | |||||||
\(812\) | 32.3865 | + | 20.1032i | 1.13654 | + | 0.705485i | ||||
\(813\) | −6.03699 | −0.211726 | ||||||||
\(814\) | 2.60128 | − | 2.45720i | 0.0911749 | − | 0.0861250i | ||||
\(815\) | −32.5135 | − | 4.79452i | −1.13890 | − | 0.167945i | ||||
\(816\) | −17.8590 | + | 24.1123i | −0.625191 | + | 0.844098i | ||||
\(817\) | 0.0488683 | − | 0.0846423i | 0.00170968 | − | 0.00296126i | ||||
\(818\) | 11.5129 | − | 38.5419i | 0.402539 | − | 1.34758i | ||||
\(819\) | 20.5611 | + | 33.6397i | 0.718462 | + | 1.17547i | ||||
\(820\) | −45.2753 | + | 15.0159i | −1.58108 | + | 0.524379i | ||||
\(821\) | −15.9612 | − | 9.21522i | −0.557051 | − | 0.321613i | 0.194910 | − | 0.980821i | \(-0.437558\pi\) |
−0.751961 | + | 0.659208i | \(0.770892\pi\) | |||||||
\(822\) | 48.9660 | − | 11.6369i | 1.70789 | − | 0.405884i | ||||
\(823\) | −15.6153 | − | 27.0465i | −0.544316 | − | 0.942782i | −0.998650 | − | 0.0519509i | \(-0.983456\pi\) |
0.454334 | − | 0.890831i | \(-0.349877\pi\) | |||||||
\(824\) | −0.530776 | − | 2.97809i | −0.0184905 | − | 0.103747i | ||||
\(825\) | 18.0022 | + | 76.6145i | 0.626756 | + | 2.66737i | ||||
\(826\) | 0.983533 | − | 0.976773i | 0.0342215 | − | 0.0339863i | ||||
\(827\) | − | 20.9134i | − | 0.727229i | −0.931550 | − | 0.363614i | \(-0.881543\pi\) | ||
0.931550 | − | 0.363614i | \(-0.118457\pi\) | |||||||
\(828\) | −21.5593 | + | 10.8607i | −0.749238 | + | 0.377435i | ||||
\(829\) | 14.1218 | + | 24.4596i | 0.490469 | + | 0.849517i | 0.999940 | − | 0.0109709i | \(-0.00349222\pi\) |
−0.509471 | + | 0.860488i | \(0.670159\pi\) | |||||||
\(830\) | −15.1543 | + | 32.4688i | −0.526012 | + | 1.12701i | ||||
\(831\) | 11.2446 | − | 19.4763i | 0.390072 | − | 0.675625i | ||||
\(832\) | −24.3712 | − | 4.20477i | −0.844918 | − | 0.145774i | ||||
\(833\) | 8.56325 | − | 16.7109i | 0.296699 | − | 0.578998i | ||||
\(834\) | 7.19228 | − | 24.0777i | 0.249048 | − | 0.833743i | ||||
\(835\) | −8.41726 | − | 21.2471i | −0.291291 | − | 0.735287i | ||||
\(836\) | 0.116361 | + | 0.00663384i | 0.00402441 | + | 0.000229436i | ||||
\(837\) | −12.7068 | − | 22.0088i | −0.439211 | − | 0.760736i | ||||
\(838\) | 11.3340 | + | 11.9986i | 0.391527 | + | 0.414484i | ||||
\(839\) | 21.4964 | 0.742139 | 0.371069 | − | 0.928605i | \(-0.378991\pi\) | ||||
0.371069 | + | 0.928605i | \(0.378991\pi\) | |||||||
\(840\) | 21.1342 | − | 41.7496i | 0.729197 | − | 1.44050i | ||||
\(841\) | −22.8937 | −0.789437 | ||||||||
\(842\) | −10.7437 | − | 11.3736i | −0.370252 | − | 0.391962i | ||||
\(843\) | 16.9898 | + | 29.4272i | 0.585159 | + | 1.01353i | ||||
\(844\) | −0.637354 | + | 11.1795i | −0.0219386 | + | 0.384813i | ||||
\(845\) | 7.15803 | − | 2.83572i | 0.246244 | − | 0.0975519i | ||||
\(846\) | 2.79093 | − | 9.34322i | 0.0959540 | − | 0.321227i | ||||
\(847\) | 46.6864 | − | 28.5354i | 1.60416 | − | 0.980489i | ||||
\(848\) | 6.91899 | + | 15.9323i | 0.237599 | + | 0.547118i | ||||
\(849\) | −21.2332 | + | 36.7769i | −0.728720 | + | 1.26218i | ||||
\(850\) | 16.9614 | − | 8.49051i | 0.581772 | − | 0.291222i | ||||
\(851\) | −0.562831 | − | 0.974852i | −0.0192936 | − | 0.0334175i | ||||
\(852\) | −23.4412 | − | 46.5328i | −0.803084 | − | 1.59419i | ||||
\(853\) | 5.60517i | 0.191917i | 0.995385 | + | 0.0959586i | \(0.0305917\pi\) | ||||
−0.995385 | + | 0.0959586i | \(0.969408\pi\) | |||||||
\(854\) | −4.39985 | + | 16.1968i | −0.150560 | + | 0.554244i | ||||
\(855\) | −0.0692989 | + | 0.0874695i | −0.00236997 | + | 0.00299139i | ||||
\(856\) | −0.473734 | − | 2.65803i | −0.0161919 | − | 0.0908497i | ||||
\(857\) | 24.7908 | + | 42.9388i | 0.846836 | + | 1.46676i | 0.884017 | + | 0.467455i | \(0.154829\pi\) |
−0.0371811 | + | 0.999309i | \(0.511838\pi\) | |||||||
\(858\) | 66.9501 | − | 15.9109i | 2.28564 | − | 0.543189i | ||||
\(859\) | 31.5937 | + | 18.2406i | 1.07796 | + | 0.622362i | 0.930346 | − | 0.366683i | \(-0.119507\pi\) |
0.147616 | + | 0.989045i | \(0.452840\pi\) | |||||||
\(860\) | −40.0709 | + | 13.2898i | −1.36641 | + | 0.453180i | ||||
\(861\) | −78.8918 | + | 1.97477i | −2.68863 | + | 0.0673001i | ||||
\(862\) | 10.9703 | − | 36.7253i | 0.373648 | − | 1.25087i | ||||
\(863\) | 17.0602 | − | 29.5491i | 0.580736 | − | 1.00586i | −0.414656 | − | 0.909978i | \(-0.636098\pi\) |
0.995392 | − | 0.0958862i | \(-0.0305685\pi\) | |||||||
\(864\) | −23.0450 | + | 17.2666i | −0.784005 | + | 0.587420i | ||||
\(865\) | 51.6939 | + | 7.62289i | 1.75764 | + | 0.259186i | ||||
\(866\) | −9.91238 | + | 9.36336i | −0.336836 | + | 0.318180i | ||||
\(867\) | 27.4179 | 0.931160 | ||||||||
\(868\) | −26.4039 | − | 0.843185i | −0.896206 | − | 0.0286196i | ||||
\(869\) | 30.4846i | 1.03412i | ||||||||
\(870\) | 5.53006 | + | 63.4639i | 0.187487 | + | 2.15163i | ||||
\(871\) | −7.71423 | − | 13.3614i | −0.261387 | − | 0.452735i | ||||
\(872\) | 2.28129 | + | 0.825564i | 0.0772541 | + | 0.0279571i | ||||
\(873\) | −14.6282 | + | 25.3367i | −0.495089 | + | 0.857519i | ||||
\(874\) | 0.0104937 | − | 0.0351299i | 0.000354955 | − | 0.00118829i | ||||
\(875\) | −23.8493 | + | 17.4988i | −0.806255 | + | 0.591568i | ||||
\(876\) | −42.1054 | − | 27.6192i | −1.42261 | − | 0.933165i | ||||
\(877\) | 14.2689 | − | 24.7144i | 0.481825 | − | 0.834546i | −0.517957 | − | 0.855407i | \(-0.673307\pi\) |
0.999782 | + | 0.0208608i | \(0.00664067\pi\) | |||||||
\(878\) | −8.46689 | − | 35.6271i | −0.285744 | − | 1.20236i | ||||
\(879\) | 49.8337 | − | 28.7715i | 1.68085 | − | 0.970438i | ||||
\(880\) | −35.6514 | − | 35.5450i | −1.20181 | − | 1.19822i | ||||
\(881\) | − | 26.4655i | − | 0.891646i | −0.895121 | − | 0.445823i | \(-0.852911\pi\) | ||
0.895121 | − | 0.445823i | \(-0.147089\pi\) | |||||||
\(882\) | 33.0063 | − | 34.4623i | 1.11138 | − | 1.16041i | ||||
\(883\) | 23.3339i | 0.785249i | 0.919699 | + | 0.392625i | \(0.128433\pi\) | ||||
−0.919699 | + | 0.392625i | \(0.871567\pi\) | |||||||
\(884\) | −7.46159 | − | 14.8119i | −0.250960 | − | 0.498177i | ||||
\(885\) | 2.29178 | + | 0.337951i | 0.0770374 | + | 0.0113601i | ||||
\(886\) | −17.7876 | + | 4.22727i | −0.597586 | + | 0.142018i | ||||
\(887\) | −5.91785 | − | 3.41667i | −0.198702 | − | 0.114721i | 0.397348 | − | 0.917668i | \(-0.369931\pi\) |
−0.596050 | + | 0.802947i | \(0.703264\pi\) | |||||||
\(888\) | −2.29057 | − | 2.71961i | −0.0768666 | − | 0.0912641i | ||||
\(889\) | 34.2647 | + | 18.6554i | 1.14920 | + | 0.625683i | ||||
\(890\) | −2.72098 | + | 1.90384i | −0.0912076 | + | 0.0638168i | ||||
\(891\) | −0.634848 | + | 1.09959i | −0.0212682 | + | 0.0368376i | ||||
\(892\) | −1.93058 | − | 0.110064i | −0.0646405 | − | 0.00368522i | ||||
\(893\) | 0.00740489 | + | 0.0128256i | 0.000247795 | + | 0.000429194i | ||||
\(894\) | −21.6041 | − | 22.8709i | −0.722549 | − | 0.764916i | ||||
\(895\) | −35.9616 | − | 28.4911i | −1.20206 | − | 0.952352i | ||||
\(896\) | 2.61589 | + | 29.8187i | 0.0873908 | + | 0.996174i | ||||
\(897\) | − | 21.6475i | − | 0.722789i | ||||||
\(898\) | −4.55500 | + | 4.30271i | −0.152002 | + | 0.143583i | ||||
\(899\) | 31.1457 | − | 17.9820i | 1.03877 | − | 0.599732i | ||||
\(900\) | 47.4766 | − | 8.33725i | 1.58255 | − | 0.277908i | ||||
\(901\) | −5.82423 | + | 10.0879i | −0.194033 | + | 0.336075i | ||||
\(902\) | −24.3004 | + | 81.3507i | −0.809114 | + | 2.70868i | ||||
\(903\) | −69.8232 | + | 1.74777i | −2.32357 | + | 0.0581623i | ||||
\(904\) | −4.63285 | + | 3.90199i | −0.154086 | + | 0.129778i | ||||
\(905\) | −21.0380 | + | 8.33441i | −0.699326 | + | 0.277045i | ||||
\(906\) | 76.7694 | − | 18.2445i | 2.55049 | − | 0.606132i | ||||
\(907\) | −21.3186 | + | 12.3083i | −0.707871 | + | 0.408690i | −0.810272 | − | 0.586054i | \(-0.800681\pi\) |
0.102401 | + | 0.994743i | \(0.467347\pi\) | |||||||
\(908\) | −29.4749 | + | 14.8482i | −0.978159 | + | 0.492755i | ||||
\(909\) | 14.7649 | 0.489722 | ||||||||
\(910\) | 15.3536 | + | 20.8145i | 0.508966 | + | 0.689994i | ||||
\(911\) | − | 17.5189i | − | 0.580427i | −0.956962 | − | 0.290214i | \(-0.906274\pi\) | ||
0.956962 | − | 0.290214i | \(-0.0937264\pi\) | |||||||
\(912\) | 0.0131624 | − | 0.115062i | 0.000435849 | − | 0.00381007i | ||||
\(913\) | 31.8882 | + | 55.2320i | 1.05535 | + | 1.82791i | ||||
\(914\) | −5.42237 | + | 1.28864i | −0.179356 | + | 0.0426245i | ||||
\(915\) | −26.0776 | + | 10.3309i | −0.862097 | + | 0.341529i | ||||
\(916\) | −32.8946 | − | 21.5773i | −1.08687 | − | 0.712934i | ||||
\(917\) | −2.95041 | − | 4.82712i | −0.0974311 | − | 0.159406i | ||||
\(918\) | −18.5031 | − | 5.52708i | −0.610693 | − | 0.182421i | ||||
\(919\) | 4.72276 | + | 2.72669i | 0.155790 | + | 0.0899452i | 0.575868 | − | 0.817543i | \(-0.304664\pi\) |
−0.420079 | + | 0.907488i | \(0.637997\pi\) | |||||||
\(920\) | −13.4717 | + | 8.32585i | −0.444150 | + | 0.274495i | ||||
\(921\) | −7.18415 | − | 12.4433i | −0.236726 | − | 0.410021i | ||||
\(922\) | −37.5462 | + | 35.4666i | −1.23652 | + | 1.16803i | ||||
\(923\) | 28.7993 | 0.947941 | ||||||||
\(924\) | −39.3212 | − | 73.4232i | −1.29357 | − | 2.41544i | ||||
\(925\) | 0.514142 | + | 2.18811i | 0.0169049 | + | 0.0719445i | ||||
\(926\) | 13.0799 | − | 12.3554i | 0.429831 | − | 0.406024i | ||||
\(927\) | 4.46466 | − | 2.57767i | 0.146639 | − | 0.0846618i | ||||
\(928\) | −24.4347 | − | 32.6120i | −0.802109 | − | 1.07054i | ||||
\(929\) | −4.26168 | − | 2.46048i | −0.139821 | − | 0.0807258i | 0.428458 | − | 0.903562i | \(-0.359057\pi\) |
−0.568279 | + | 0.822836i | \(0.692390\pi\) | |||||||
\(930\) | −25.3103 | − | 36.1737i | −0.829956 | − | 1.18618i | ||||
\(931\) | 0.00362596 | + | 0.0723828i | 0.000118836 | + | 0.00237225i | ||||
\(932\) | −26.9199 | + | 41.0394i | −0.881790 | + | 1.34429i | ||||
\(933\) | −29.9705 | + | 51.9104i | −0.981190 | + | 1.69947i | ||||
\(934\) | 7.21033 | + | 30.3397i | 0.235929 | + | 0.992746i | ||||
\(935\) | 4.92522 | − | 33.3999i | 0.161072 | − | 1.09229i | ||||
\(936\) | −7.39535 | − | 41.4940i | −0.241725 | − | 1.35627i | ||||
\(937\) | −27.1974 | −0.888501 | −0.444251 | − | 0.895903i | \(-0.646530\pi\) | ||||
−0.444251 | + | 0.895903i | \(0.646530\pi\) | |||||||
\(938\) | −13.2498 | + | 13.1587i | −0.432620 | + | 0.429646i | ||||
\(939\) | −3.26044 | −0.106401 | ||||||||
\(940\) | 1.29194 | − | 6.26526i | 0.0421384 | − | 0.204350i | ||||
\(941\) | 24.9798 | + | 43.2663i | 0.814319 | + | 1.41044i | 0.909816 | + | 0.415012i | \(0.136223\pi\) |
−0.0954967 | + | 0.995430i | \(0.530444\pi\) | |||||||
\(942\) | −8.42494 | + | 2.00221i | −0.274499 | + | 0.0652356i | ||||
\(943\) | 23.1301 | + | 13.3542i | 0.753220 | + | 0.434872i | ||||
\(944\) | −1.35922 | + | 0.590276i | −0.0442389 | + | 0.0192118i | ||||
\(945\) | 29.8939 | + | 3.64647i | 0.972449 | + | 0.118620i | ||||
\(946\) | −21.5071 | + | 71.9995i | −0.699255 | + | 2.34090i | ||||
\(947\) | −17.0454 | − | 9.84119i | −0.553902 | − | 0.319796i | 0.196792 | − | 0.980445i | \(-0.436948\pi\) |
−0.750694 | + | 0.660650i | \(0.770281\pi\) | |||||||
\(948\) | 30.2426 | + | 1.72416i | 0.982232 | + | 0.0559982i | ||||
\(949\) | 24.1042 | − | 13.9166i | 0.782455 | − | 0.451750i | ||||
\(950\) | −0.0403094 | + | 0.0611127i | −0.00130781 | + | 0.00198276i | ||||
\(951\) | 41.4856 | 1.34526 | ||||||||
\(952\) | −15.0251 | + | 13.3116i | −0.486967 | + | 0.431430i | ||||
\(953\) | 13.8715i | 0.449340i | 0.974435 | + | 0.224670i | \(0.0721305\pi\) | ||||
−0.974435 | + | 0.224670i | \(0.927870\pi\) | |||||||
\(954\) | −21.5194 | + | 20.3275i | −0.696717 | + | 0.658128i | ||||
\(955\) | −26.2930 | − | 3.87722i | −0.850820 | − | 0.125464i | ||||
\(956\) | 8.55486 | + | 0.487722i | 0.276684 | + | 0.0157740i | ||||
\(957\) | 98.1970 | + | 56.6941i | 3.17426 | + | 1.83266i | ||||
\(958\) | 52.0695 | + | 15.5537i | 1.68229 | + | 0.502519i | ||||
\(959\) | 33.6598 | − | 0.842552i | 1.08693 | − | 0.0272074i | ||||
\(960\) | −37.2793 | + | 33.3580i | −1.20318 | + | 1.07662i | ||||
\(961\) | 3.03794 | − | 5.26186i | 0.0979979 | − | 0.169737i | ||||
\(962\) | 1.91209 | − | 0.454414i | 0.0616483 | − | 0.0146509i | ||||
\(963\) | 3.98484 | − | 2.30065i | 0.128410 | − | 0.0741374i | ||||
\(964\) | 6.80042 | + | 13.4994i | 0.219027 | + | 0.434786i | ||||
\(965\) | 2.34215 | − | 2.95628i | 0.0753966 | − | 0.0951661i | ||||
\(966\) | −25.3313 | + | 6.69397i | −0.815023 | + | 0.215375i | ||||
\(967\) | 14.3492 | 0.461441 | 0.230720 | − | 0.973020i | \(-0.425892\pi\) | ||||
0.230720 | + | 0.973020i | \(0.425892\pi\) | |||||||
\(968\) | −57.5869 | + | 10.2636i | −1.85091 | + | 0.329883i | ||||
\(969\) | 0.0672600 | − | 0.0388326i | 0.00216070 | − | 0.00124748i | ||||
\(970\) | −8.11743 | + | 17.3920i | −0.260635 | + | 0.558425i | ||||
\(971\) | −19.5133 | − | 11.2660i | −0.626212 | − | 0.361544i | 0.153072 | − | 0.988215i | \(-0.451083\pi\) |
−0.779284 | + | 0.626671i | \(0.784417\pi\) | |||||||
\(972\) | 26.5936 | + | 17.4441i | 0.852989 | + | 0.559520i | ||||
\(973\) | 8.03861 | − | 14.7646i | 0.257706 | − | 0.473332i | ||||
\(974\) | −10.5491 | − | 3.15115i | −0.338016 | − | 0.100969i | ||||
\(975\) | −12.4769 | + | 41.3854i | −0.399580 | + | 1.32539i | ||||
\(976\) | 10.6792 | − | 14.4185i | 0.341833 | − | 0.461524i | ||||
\(977\) | 47.6801 | − | 27.5281i | 1.52542 | − | 0.880703i | 0.525877 | − | 0.850561i | \(-0.323737\pi\) |
0.999546 | − | 0.0301422i | \(-0.00959602\pi\) | |||||||
\(978\) | 39.9151 | + | 42.2555i | 1.27634 | + | 1.35118i | ||||
\(979\) | 5.91091i | 0.188913i | ||||||||
\(980\) | 19.6089 | − | 24.4027i | 0.626382 | − | 0.779516i | ||||
\(981\) | 4.13460i | 0.132008i | ||||||||
\(982\) | −4.86909 | + | 4.59940i | −0.155379 | + | 0.146773i | ||||
\(983\) | −20.7276 | + | 11.9671i | −0.661108 | + | 0.381691i | −0.792699 | − | 0.609613i | \(-0.791325\pi\) |
0.131591 | + | 0.991304i | \(0.457991\pi\) | |||||||
\(984\) | 79.3305 | + | 28.7085i | 2.52896 | + | 0.915195i | ||||
\(985\) | 25.4263 | − | 10.0729i | 0.810149 | − | 0.320949i | ||||
\(986\) | 7.82163 | − | 26.1846i | 0.249091 | − | 0.833887i | ||||
\(987\) | 5.06072 | − | 9.29509i | 0.161084 | − | 0.295866i | ||||
\(988\) | 0.0535252 | + | 0.0351100i | 0.00170286 | + | 0.00111700i | ||||
\(989\) | 20.4713 | + | 11.8191i | 0.650950 | + | 0.375826i | ||||
\(990\) | 36.2866 | − | 77.7460i | 1.15326 | − | 2.47093i | ||||
\(991\) | −5.73341 | + | 3.31019i | −0.182128 | + | 0.105152i | −0.588292 | − | 0.808649i | \(-0.700199\pi\) |
0.406164 | + | 0.913800i | \(0.366866\pi\) | |||||||
\(992\) | 25.9659 | + | 11.1061i | 0.824417 | + | 0.352620i | ||||
\(993\) | −43.2976 | −1.37401 | ||||||||
\(994\) | −8.90550 | − | 33.7002i | −0.282465 | − | 1.06891i | ||||
\(995\) | 20.3275 | + | 16.1048i | 0.644426 | + | 0.510556i | ||||
\(996\) | 56.5971 | − | 28.5112i | 1.79335 | − | 0.903413i | ||||
\(997\) | 45.2960 | − | 26.1517i | 1.43454 | − | 0.828232i | 0.437077 | − | 0.899424i | \(-0.356014\pi\) |
0.997463 | + | 0.0711927i | \(0.0226805\pi\) | |||||||
\(998\) | −6.05694 | − | 25.4865i | −0.191729 | − | 0.806760i | ||||
\(999\) | 1.14418 | − | 1.98178i | 0.0362002 | − | 0.0627006i |
(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 | 280.2.ba.b.19.11 | ✓ | 80 | |
4.3 | odd | 2 | 1120.2.bq.b.719.6 | 80 | |||
5.4 | even | 2 | inner | 280.2.ba.b.19.30 | yes | 80 | |
7.3 | odd | 6 | inner | 280.2.ba.b.59.18 | yes | 80 | |
8.3 | odd | 2 | inner | 280.2.ba.b.19.23 | yes | 80 | |
8.5 | even | 2 | 1120.2.bq.b.719.5 | 80 | |||
20.19 | odd | 2 | 1120.2.bq.b.719.36 | 80 | |||
28.3 | even | 6 | 1120.2.bq.b.1039.35 | 80 | |||
35.24 | odd | 6 | inner | 280.2.ba.b.59.23 | yes | 80 | |
40.19 | odd | 2 | inner | 280.2.ba.b.19.18 | yes | 80 | |
40.29 | even | 2 | 1120.2.bq.b.719.35 | 80 | |||
56.3 | even | 6 | inner | 280.2.ba.b.59.30 | yes | 80 | |
56.45 | odd | 6 | 1120.2.bq.b.1039.36 | 80 | |||
140.59 | even | 6 | 1120.2.bq.b.1039.5 | 80 | |||
280.59 | even | 6 | inner | 280.2.ba.b.59.11 | yes | 80 | |
280.269 | odd | 6 | 1120.2.bq.b.1039.6 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.ba.b.19.11 | ✓ | 80 | 1.1 | even | 1 | trivial | |
280.2.ba.b.19.18 | yes | 80 | 40.19 | odd | 2 | inner | |
280.2.ba.b.19.23 | yes | 80 | 8.3 | odd | 2 | inner | |
280.2.ba.b.19.30 | yes | 80 | 5.4 | even | 2 | inner | |
280.2.ba.b.59.11 | yes | 80 | 280.59 | even | 6 | inner | |
280.2.ba.b.59.18 | yes | 80 | 7.3 | odd | 6 | inner | |
280.2.ba.b.59.23 | yes | 80 | 35.24 | odd | 6 | inner | |
280.2.ba.b.59.30 | yes | 80 | 56.3 | even | 6 | inner | |
1120.2.bq.b.719.5 | 80 | 8.5 | even | 2 | |||
1120.2.bq.b.719.6 | 80 | 4.3 | odd | 2 | |||
1120.2.bq.b.719.35 | 80 | 40.29 | even | 2 | |||
1120.2.bq.b.719.36 | 80 | 20.19 | odd | 2 | |||
1120.2.bq.b.1039.5 | 80 | 140.59 | even | 6 | |||
1120.2.bq.b.1039.6 | 80 | 280.269 | odd | 6 | |||
1120.2.bq.b.1039.35 | 80 | 28.3 | even | 6 | |||
1120.2.bq.b.1039.36 | 80 | 56.45 | odd | 6 |