Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(17,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 27, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bm (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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(416\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 17.14 | ||
Character | \(\chi\) | \(=\) | 429.17 |
Dual form | 429.2.bm.a.101.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.305648 | + | 1.43796i | −0.216126 | + | 1.01679i | 0.727584 | + | 0.686018i | \(0.240643\pi\) |
−0.943710 | + | 0.330774i | \(0.892690\pi\) | |||||||
\(3\) | 0.244883 | − | 1.71465i | 0.141383 | − | 0.989955i | ||||
\(4\) | −0.147221 | − | 0.0655471i | −0.0736106 | − | 0.0327736i | ||||
\(5\) | −0.592286 | + | 1.82287i | −0.264878 | + | 0.815212i | 0.726843 | + | 0.686804i | \(0.240987\pi\) |
−0.991721 | + | 0.128408i | \(0.959013\pi\) | |||||||
\(6\) | 2.39076 | + | 0.876212i | 0.976022 | + | 0.357712i | ||||
\(7\) | −3.94686 | − | 1.75725i | −1.49177 | − | 0.664180i | −0.511043 | − | 0.859555i | \(-0.670741\pi\) |
−0.980728 | + | 0.195376i | \(0.937407\pi\) | |||||||
\(8\) | −1.58894 | + | 2.18699i | −0.561774 | + | 0.773216i | ||||
\(9\) | −2.88006 | − | 0.839778i | −0.960022 | − | 0.279926i | ||||
\(10\) | −2.44018 | − | 1.40884i | −0.771654 | − | 0.445515i | ||||
\(11\) | −2.95349 | + | 1.50894i | −0.890510 | + | 0.454963i | ||||
\(12\) | −0.148442 | + | 0.236382i | −0.0428516 | + | 0.0682376i | ||||
\(13\) | −1.14464 | − | 3.41903i | −0.317467 | − | 0.948269i | ||||
\(14\) | 3.73321 | − | 5.13833i | 0.997743 | − | 1.37328i | ||||
\(15\) | 2.98055 | + | 1.46195i | 0.769574 | + | 0.377475i | ||||
\(16\) | −2.87481 | − | 3.19280i | −0.718703 | − | 0.798200i | ||||
\(17\) | 1.29540 | − | 0.275345i | 0.314180 | − | 0.0667810i | −0.0481229 | − | 0.998841i | \(-0.515324\pi\) |
0.362303 | + | 0.932060i | \(0.381991\pi\) | |||||||
\(18\) | 2.08785 | − | 3.88475i | 0.492112 | − | 0.915643i | ||||
\(19\) | −0.740687 | + | 7.04717i | −0.169925 | + | 1.61673i | 0.494364 | + | 0.869255i | \(0.335401\pi\) |
−0.664289 | + | 0.747476i | \(0.731266\pi\) | |||||||
\(20\) | 0.206681 | − | 0.229542i | 0.0462153 | − | 0.0513272i | ||||
\(21\) | −3.97960 | + | 6.33717i | −0.868419 | + | 1.38288i | ||||
\(22\) | −1.26707 | − | 4.70821i | −0.270141 | − | 1.00379i | ||||
\(23\) | −5.59739 | − | 3.23166i | −1.16714 | − | 0.673847i | −0.214133 | − | 0.976805i | \(-0.568693\pi\) |
−0.953004 | + | 0.302958i | \(0.902026\pi\) | |||||||
\(24\) | 3.36082 | + | 3.26003i | 0.686024 | + | 0.665451i | ||||
\(25\) | 1.07304 | + | 0.779606i | 0.214607 | + | 0.155921i | ||||
\(26\) | 5.26630 | − | 0.600934i | 1.03281 | − | 0.117853i | ||||
\(27\) | −2.14521 | + | 4.73266i | −0.412845 | + | 0.910801i | ||||
\(28\) | 0.465878 | + | 0.517410i | 0.0880427 | + | 0.0977813i | ||||
\(29\) | 0.216074 | + | 2.05581i | 0.0401239 | + | 0.381754i | 0.996095 | + | 0.0882917i | \(0.0281408\pi\) |
−0.955971 | + | 0.293462i | \(0.905193\pi\) | |||||||
\(30\) | −3.01323 | + | 3.83907i | −0.550138 | + | 0.700914i | ||||
\(31\) | 7.35248 | − | 2.38897i | 1.32055 | − | 0.429071i | 0.437863 | − | 0.899042i | \(-0.355735\pi\) |
0.882682 | + | 0.469970i | \(0.155735\pi\) | |||||||
\(32\) | 0.787616 | − | 0.454730i | 0.139232 | − | 0.0803857i | ||||
\(33\) | 1.86405 | + | 5.43372i | 0.324490 | + | 0.945889i | ||||
\(34\) | 1.94689i | 0.333889i | ||||||||
\(35\) | 5.54091 | − | 6.15381i | 0.936585 | − | 1.04018i | ||||
\(36\) | 0.368962 | + | 0.312413i | 0.0614936 | + | 0.0520688i | ||||
\(37\) | −6.16152 | + | 0.647602i | −1.01295 | + | 0.106465i | −0.596432 | − | 0.802664i | \(-0.703415\pi\) |
−0.416515 | + | 0.909129i | \(0.636749\pi\) | |||||||
\(38\) | −9.90716 | − | 3.21903i | −1.60715 | − | 0.522196i | ||||
\(39\) | −6.14276 | + | 1.12541i | −0.983628 | + | 0.180209i | ||||
\(40\) | −3.04548 | − | 4.19175i | −0.481533 | − | 0.662773i | ||||
\(41\) | −2.71596 | − | 6.10016i | −0.424162 | − | 0.952684i | −0.991609 | − | 0.129274i | \(-0.958735\pi\) |
0.567446 | − | 0.823410i | \(-0.307931\pi\) | |||||||
\(42\) | −7.89624 | − | 7.65945i | −1.21842 | − | 1.18188i | ||||
\(43\) | −5.66653 | + | 3.27157i | −0.864138 | + | 0.498910i | −0.865396 | − | 0.501089i | \(-0.832933\pi\) |
0.00125792 | + | 0.999999i | \(0.499600\pi\) | |||||||
\(44\) | 0.533723 | − | 0.0285558i | 0.0804618 | − | 0.00430495i | ||||
\(45\) | 3.23663 | − | 4.75259i | 0.482488 | − | 0.708475i | ||||
\(46\) | 6.35783 | − | 7.06108i | 0.937411 | − | 1.04110i | ||||
\(47\) | 2.30861 | + | 1.67730i | 0.336745 | + | 0.244659i | 0.743287 | − | 0.668973i | \(-0.233266\pi\) |
−0.406542 | + | 0.913632i | \(0.633266\pi\) | |||||||
\(48\) | −6.17853 | + | 4.14744i | −0.891795 | + | 0.598631i | ||||
\(49\) | 7.80582 | + | 8.66924i | 1.11512 | + | 1.23846i | ||||
\(50\) | −1.44901 | + | 1.30470i | −0.204922 | + | 0.184512i | ||||
\(51\) | −0.154901 | − | 2.28858i | −0.0216904 | − | 0.320466i | ||||
\(52\) | −0.0555917 | + | 0.578382i | −0.00770919 | + | 0.0802072i | ||||
\(53\) | 10.1134 | − | 3.28605i | 1.38919 | − | 0.451374i | 0.483508 | − | 0.875340i | \(-0.339362\pi\) |
0.905678 | + | 0.423966i | \(0.139362\pi\) | |||||||
\(54\) | −6.14971 | − | 4.53125i | −0.836869 | − | 0.616625i | ||||
\(55\) | −1.00130 | − | 6.27755i | −0.135015 | − | 0.846464i | ||||
\(56\) | 10.1144 | − | 5.83955i | 1.35159 | − | 0.780343i | ||||
\(57\) | 11.9021 | + | 2.99575i | 1.57647 | + | 0.396797i | ||||
\(58\) | −3.02221 | − | 0.317647i | −0.396836 | − | 0.0417092i | ||||
\(59\) | −2.45214 | − | 1.09176i | −0.319242 | − | 0.142136i | 0.240859 | − | 0.970560i | \(-0.422571\pi\) |
−0.560101 | + | 0.828425i | \(0.689238\pi\) | |||||||
\(60\) | −0.342973 | − | 0.410597i | −0.0442776 | − | 0.0530078i | ||||
\(61\) | 1.06364 | + | 5.00403i | 0.136185 | + | 0.640700i | 0.992294 | + | 0.123905i | \(0.0395417\pi\) |
−0.856109 | + | 0.516795i | \(0.827125\pi\) | |||||||
\(62\) | 1.18797 | + | 11.3028i | 0.150872 | + | 1.43545i | ||||
\(63\) | 9.89150 | + | 8.37549i | 1.24621 | + | 1.05521i | ||||
\(64\) | −2.24213 | − | 6.90057i | −0.280266 | − | 0.862571i | ||||
\(65\) | 6.91041 | − | 0.0614919i | 0.857131 | − | 0.00762714i | ||||
\(66\) | −8.38322 | + | 1.01963i | −1.03190 | + | 0.125508i | ||||
\(67\) | −5.31596 | − | 3.06917i | −0.649448 | − | 0.374959i | 0.138797 | − | 0.990321i | \(-0.455677\pi\) |
−0.788245 | + | 0.615362i | \(0.789010\pi\) | |||||||
\(68\) | −0.208758 | − | 0.0443729i | −0.0253156 | − | 0.00538100i | ||||
\(69\) | −6.91187 | + | 8.80620i | −0.832092 | + | 1.06014i | ||||
\(70\) | 7.15537 | + | 9.84852i | 0.855230 | + | 1.17712i | ||||
\(71\) | 2.59402 | − | 0.551376i | 0.307854 | − | 0.0654363i | −0.0513943 | − | 0.998678i | \(-0.516367\pi\) |
0.359248 | + | 0.933242i | \(0.383033\pi\) | |||||||
\(72\) | 6.41283 | − | 4.96430i | 0.755759 | − | 0.585049i | ||||
\(73\) | −2.42883 | + | 1.76465i | −0.284273 | + | 0.206537i | −0.720779 | − | 0.693165i | \(-0.756216\pi\) |
0.436506 | + | 0.899701i | \(0.356216\pi\) | |||||||
\(74\) | 0.952030 | − | 9.05796i | 0.110671 | − | 1.05297i | ||||
\(75\) | 1.59952 | − | 1.64897i | 0.184697 | − | 0.190407i | ||||
\(76\) | 0.570966 | − | 0.988943i | 0.0654943 | − | 0.113439i | ||||
\(77\) | 14.3086 | − | 0.765554i | 1.63062 | − | 0.0872429i | ||||
\(78\) | 0.259233 | − | 9.17703i | 0.0293524 | − | 1.03909i | ||||
\(79\) | −6.66654 | + | 2.16609i | −0.750045 | + | 0.243704i | −0.659000 | − | 0.752143i | \(-0.729020\pi\) |
−0.0910442 | + | 0.995847i | \(0.529020\pi\) | |||||||
\(80\) | 7.52277 | − | 3.34935i | 0.841071 | − | 0.374469i | ||||
\(81\) | 7.58955 | + | 4.83723i | 0.843283 | + | 0.537470i | ||||
\(82\) | 9.60192 | − | 2.04095i | 1.06035 | − | 0.225385i | ||||
\(83\) | −4.49135 | − | 1.45933i | −0.492990 | − | 0.160182i | 0.0519627 | − | 0.998649i | \(-0.483452\pi\) |
−0.544952 | + | 0.838467i | \(0.683452\pi\) | |||||||
\(84\) | 1.00126 | − | 0.672114i | 0.109247 | − | 0.0733337i | ||||
\(85\) | −0.265328 | + | 2.52442i | −0.0287788 | + | 0.273812i | ||||
\(86\) | −2.97243 | − | 9.14820i | −0.320525 | − | 0.986476i | ||||
\(87\) | 3.57791 | + | 0.132940i | 0.383592 | + | 0.0142527i | ||||
\(88\) | 1.39287 | − | 8.85685i | 0.148481 | − | 0.944144i | ||||
\(89\) | −4.03186 | + | 6.98338i | −0.427376 | + | 0.740237i | −0.996639 | − | 0.0819186i | \(-0.973895\pi\) |
0.569263 | + | 0.822155i | \(0.307229\pi\) | |||||||
\(90\) | 5.84478 | + | 6.10677i | 0.616093 | + | 0.643710i | ||||
\(91\) | −1.49036 | + | 15.5059i | −0.156232 | + | 1.62546i | ||||
\(92\) | 0.612229 | + | 0.842661i | 0.0638293 | + | 0.0878535i | ||||
\(93\) | −2.29575 | − | 13.1920i | −0.238058 | − | 1.36794i | ||||
\(94\) | −3.11751 | + | 2.80702i | −0.321547 | + | 0.289522i | ||||
\(95\) | −12.4074 | − | 5.52411i | −1.27297 | − | 0.566762i | ||||
\(96\) | −0.586831 | − | 1.46184i | −0.0598931 | − | 0.149199i | ||||
\(97\) | 4.48180 | + | 4.03543i | 0.455057 | + | 0.409736i | 0.864526 | − | 0.502589i | \(-0.167619\pi\) |
−0.409468 | + | 0.912324i | \(0.634286\pi\) | |||||||
\(98\) | −14.8519 | + | 8.57473i | −1.50027 | + | 0.866179i | ||||
\(99\) | 9.77341 | − | 1.86558i | 0.982265 | − | 0.187498i | ||||
\(100\) | −0.106873 | − | 0.185109i | −0.0106873 | − | 0.0185109i | ||||
\(101\) | 1.53332 | + | 0.325917i | 0.152571 | + | 0.0324299i | 0.283564 | − | 0.958953i | \(-0.408483\pi\) |
−0.130993 | + | 0.991383i | \(0.541817\pi\) | |||||||
\(102\) | 3.33824 | + | 0.476760i | 0.330535 | + | 0.0472063i | ||||
\(103\) | 6.28798 | − | 4.56849i | 0.619573 | − | 0.450146i | −0.233199 | − | 0.972429i | \(-0.574919\pi\) |
0.852772 | + | 0.522283i | \(0.174919\pi\) | |||||||
\(104\) | 9.29615 | + | 2.92931i | 0.911562 | + | 0.287242i | ||||
\(105\) | −9.19476 | − | 11.0077i | −0.897317 | − | 1.07424i | ||||
\(106\) | 1.63407 | + | 15.5471i | 0.158714 | + | 1.51007i | ||||
\(107\) | −17.9493 | + | 7.99154i | −1.73522 | + | 0.772572i | −0.740262 | + | 0.672318i | \(0.765299\pi\) |
−0.994962 | + | 0.100253i | \(0.968035\pi\) | |||||||
\(108\) | 0.626032 | − | 0.556136i | 0.0602400 | − | 0.0535142i | ||||
\(109\) | 0.702393 | 0.0672770 | 0.0336385 | − | 0.999434i | \(-0.489291\pi\) | ||||
0.0336385 | + | 0.999434i | \(0.489291\pi\) | |||||||
\(110\) | 9.33292 | + | 0.478896i | 0.889859 | + | 0.0456610i | ||||
\(111\) | −0.398439 | + | 10.7234i | −0.0378181 | + | 1.01782i | ||||
\(112\) | 5.73590 | + | 17.6533i | 0.541992 | + | 1.66808i | ||||
\(113\) | 7.86934 | + | 0.827101i | 0.740285 | + | 0.0778071i | 0.467162 | − | 0.884172i | \(-0.345277\pi\) |
0.273124 | + | 0.961979i | \(0.411943\pi\) | |||||||
\(114\) | −7.94562 | + | 16.1991i | −0.744175 | + | 1.51718i | ||||
\(115\) | 9.20614 | − | 8.28925i | 0.858477 | − | 0.772976i | ||||
\(116\) | 0.102942 | − | 0.316821i | 0.00955788 | − | 0.0294161i | ||||
\(117\) | 0.425422 | + | 10.8083i | 0.0393303 | + | 0.999226i | ||||
\(118\) | 2.31941 | − | 3.19239i | 0.213519 | − | 0.293883i | ||||
\(119\) | −5.59660 | − | 1.18959i | −0.513039 | − | 0.109050i | ||||
\(120\) | −7.93318 | + | 4.19546i | −0.724197 | + | 0.382991i | ||||
\(121\) | 6.44618 | − | 8.91329i | 0.586017 | − | 0.810299i | ||||
\(122\) | −7.52069 | −0.680892 | ||||||||
\(123\) | −11.1247 | + | 3.16311i | −1.00308 | + | 0.285208i | ||||
\(124\) | −1.23903 | − | 0.130227i | −0.111268 | − | 0.0116948i | ||||
\(125\) | −9.80979 | + | 7.12723i | −0.877414 | + | 0.637479i | ||||
\(126\) | −15.0669 | + | 11.6636i | −1.34227 | + | 1.03908i | ||||
\(127\) | −4.91260 | + | 4.42333i | −0.435923 | + | 0.392507i | −0.857665 | − | 0.514209i | \(-0.828086\pi\) |
0.421742 | + | 0.906716i | \(0.361419\pi\) | |||||||
\(128\) | 12.4170 | − | 1.30508i | 1.09752 | − | 0.115354i | ||||
\(129\) | 4.22197 | + | 10.5173i | 0.371724 | + | 0.925995i | ||||
\(130\) | −2.02373 | + | 9.95569i | −0.177493 | + | 0.873172i | ||||
\(131\) | −14.2178 | −1.24221 | −0.621106 | − | 0.783726i | \(-0.713316\pi\) | ||||
−0.621106 | + | 0.783726i | \(0.713316\pi\) | |||||||
\(132\) | 0.0817363 | − | 0.922142i | 0.00711423 | − | 0.0802622i | ||||
\(133\) | 15.3070 | − | 26.5126i | 1.32729 | − | 2.29893i | ||||
\(134\) | 6.03816 | − | 6.70606i | 0.521618 | − | 0.579315i | ||||
\(135\) | −7.35645 | − | 6.71352i | −0.633142 | − | 0.577808i | ||||
\(136\) | −1.45613 | + | 3.27052i | −0.124862 | + | 0.280445i | ||||
\(137\) | 16.0289 | − | 3.40705i | 1.36944 | − | 0.291084i | 0.536246 | − | 0.844062i | \(-0.319842\pi\) |
0.833196 | + | 0.552978i | \(0.186508\pi\) | |||||||
\(138\) | −10.5504 | − | 12.6306i | −0.898108 | − | 1.07519i | ||||
\(139\) | −2.53397 | + | 5.69140i | −0.214929 | + | 0.482738i | −0.988547 | − | 0.150914i | \(-0.951778\pi\) |
0.773618 | + | 0.633652i | \(0.218445\pi\) | |||||||
\(140\) | −1.21910 | + | 0.542780i | −0.103033 | + | 0.0458733i | ||||
\(141\) | 3.44132 | − | 3.54771i | 0.289812 | − | 0.298771i | ||||
\(142\) | 3.89863i | 0.327166i | ||||||||
\(143\) | 8.53982 | + | 8.37087i | 0.714136 | + | 0.700007i | ||||
\(144\) | 5.59840 | + | 11.6097i | 0.466533 | + | 0.967473i | ||||
\(145\) | −3.87545 | − | 0.823751i | −0.321838 | − | 0.0684088i | ||||
\(146\) | −1.79513 | − | 4.03193i | −0.148566 | − | 0.333685i | ||||
\(147\) | 16.7763 | − | 11.2613i | 1.38368 | − | 0.928818i | ||||
\(148\) | 0.949555 | + | 0.308529i | 0.0780529 | + | 0.0253609i | ||||
\(149\) | 1.07694 | + | 5.06661i | 0.0882264 | + | 0.415073i | 0.999991 | + | 0.00435834i | \(0.00138731\pi\) |
−0.911764 | + | 0.410714i | \(0.865279\pi\) | |||||||
\(150\) | 1.88227 | + | 2.80406i | 0.153686 | + | 0.228950i | ||||
\(151\) | 13.7912 | + | 10.0199i | 1.12231 | + | 0.815406i | 0.984558 | − | 0.175060i | \(-0.0560120\pi\) |
0.137753 | + | 0.990467i | \(0.456012\pi\) | |||||||
\(152\) | −14.2351 | − | 12.8174i | −1.15462 | − | 1.03963i | ||||
\(153\) | −3.96206 | − | 0.294834i | −0.320313 | − | 0.0238359i | ||||
\(154\) | −3.27256 | + | 20.8092i | −0.263710 | + | 1.67685i | ||||
\(155\) | 14.8176i | 1.19018i | ||||||||
\(156\) | 0.978111 | + | 0.236956i | 0.0783116 | + | 0.0189717i | ||||
\(157\) | 5.04647 | + | 3.66648i | 0.402752 | + | 0.292617i | 0.770661 | − | 0.637245i | \(-0.219926\pi\) |
−0.367909 | + | 0.929862i | \(0.619926\pi\) | |||||||
\(158\) | −1.07714 | − | 10.2483i | −0.0856926 | − | 0.815310i | ||||
\(159\) | −3.15783 | − | 18.1457i | −0.250432 | − | 1.43905i | ||||
\(160\) | 0.362420 | + | 1.70505i | 0.0286518 | + | 0.134796i | ||||
\(161\) | 16.4133 | + | 22.5909i | 1.29355 | + | 1.78041i | ||||
\(162\) | −9.27548 | + | 9.43498i | −0.728751 | + | 0.741282i | ||||
\(163\) | −12.5721 | − | 11.3199i | −0.984721 | − | 0.886647i | 0.00883823 | − | 0.999961i | \(-0.497187\pi\) |
−0.993559 | + | 0.113314i | \(0.963853\pi\) | |||||||
\(164\) | 1.07610i | 0.0840290i | ||||||||
\(165\) | −11.0090 | + | 0.179610i | −0.857050 | + | 0.0139826i | ||||
\(166\) | 3.47123 | − | 6.01235i | 0.269420 | − | 0.466649i | ||||
\(167\) | 2.37315 | − | 11.1648i | 0.183640 | − | 0.863956i | −0.785772 | − | 0.618516i | \(-0.787734\pi\) |
0.969412 | − | 0.245440i | \(-0.0789325\pi\) | |||||||
\(168\) | −7.53596 | − | 18.7727i | −0.581412 | − | 1.44834i | ||||
\(169\) | −10.3796 | + | 7.82716i | −0.798429 | + | 0.602089i | ||||
\(170\) | −3.54893 | − | 1.15312i | −0.272190 | − | 0.0884400i | ||||
\(171\) | 8.05128 | − | 19.6743i | 0.615697 | − | 1.50453i | ||||
\(172\) | 1.04868 | − | 0.110220i | 0.0799608 | − | 0.00840422i | ||||
\(173\) | 0.916915 | − | 8.72386i | 0.0697117 | − | 0.663263i | −0.902744 | − | 0.430177i | \(-0.858451\pi\) |
0.972456 | − | 0.233086i | \(-0.0748823\pi\) | |||||||
\(174\) | −1.28474 | + | 5.10426i | −0.0973962 | + | 0.386953i | ||||
\(175\) | −2.86515 | − | 4.96259i | −0.216585 | − | 0.375137i | ||||
\(176\) | 13.3085 | + | 5.09197i | 1.00316 | + | 0.383822i | ||||
\(177\) | −2.47248 | + | 3.93722i | −0.185843 | + | 0.295940i | ||||
\(178\) | −8.80950 | − | 7.93211i | −0.660300 | − | 0.594537i | ||||
\(179\) | −2.64252 | − | 5.93520i | −0.197511 | − | 0.443617i | 0.787453 | − | 0.616374i | \(-0.211399\pi\) |
−0.984964 | + | 0.172757i | \(0.944733\pi\) | |||||||
\(180\) | −0.788019 | + | 0.487531i | −0.0587355 | + | 0.0363384i | ||||
\(181\) | −3.06661 | + | 9.43807i | −0.227940 | + | 0.701526i | 0.770040 | + | 0.637995i | \(0.220236\pi\) |
−0.997980 | + | 0.0635308i | \(0.979764\pi\) | |||||||
\(182\) | −21.8413 | − | 6.88242i | −1.61899 | − | 0.510159i | ||||
\(183\) | 8.84063 | − | 0.598370i | 0.653518 | − | 0.0442328i | ||||
\(184\) | 15.9615 | − | 7.10651i | 1.17670 | − | 0.523899i | ||||
\(185\) | 2.46889 | − | 11.6152i | 0.181516 | − | 0.853967i | ||||
\(186\) | 19.6712 | + | 0.730901i | 1.44237 | + | 0.0535923i | ||||
\(187\) | −3.41046 | + | 2.76791i | −0.249398 | + | 0.202410i | ||||
\(188\) | −0.229933 | − | 0.398256i | −0.0167696 | − | 0.0290458i | ||||
\(189\) | 16.7833 | − | 14.9095i | 1.22081 | − | 1.08450i | ||||
\(190\) | 11.7358 | − | 16.1529i | 0.851401 | − | 1.17185i | ||||
\(191\) | −2.65922 | + | 5.97271i | −0.192414 | + | 0.432170i | −0.983829 | − | 0.179110i | \(-0.942678\pi\) |
0.791415 | + | 0.611280i | \(0.209345\pi\) | |||||||
\(192\) | −12.3811 | + | 2.15464i | −0.893532 | + | 0.155498i | ||||
\(193\) | −12.5774 | − | 13.9687i | −0.905345 | − | 1.00549i | −0.999950 | − | 0.00997228i | \(-0.996826\pi\) |
0.0946056 | − | 0.995515i | \(-0.469841\pi\) | |||||||
\(194\) | −7.17264 | + | 5.21123i | −0.514966 | + | 0.374144i | ||||
\(195\) | 1.58680 | − | 11.8640i | 0.113633 | − | 0.849599i | ||||
\(196\) | −0.580939 | − | 1.78795i | −0.0414956 | − | 0.127710i | ||||
\(197\) | 7.74618 | + | 4.47226i | 0.551892 | + | 0.318635i | 0.749885 | − | 0.661568i | \(-0.230109\pi\) |
−0.197993 | + | 0.980203i | \(0.563442\pi\) | |||||||
\(198\) | −0.304595 | + | 14.6240i | −0.0216466 | + | 1.03928i | ||||
\(199\) | −3.87149 | − | 6.70562i | −0.274443 | − | 0.475349i | 0.695552 | − | 0.718476i | \(-0.255160\pi\) |
−0.969994 | + | 0.243127i | \(0.921827\pi\) | |||||||
\(200\) | −3.40997 | + | 1.10797i | −0.241122 | + | 0.0783452i | ||||
\(201\) | −6.56435 | + | 8.36344i | −0.463014 | + | 0.589911i | ||||
\(202\) | −0.937312 | + | 2.10524i | −0.0659490 | + | 0.148124i | ||||
\(203\) | 2.75976 | − | 8.49367i | 0.193697 | − | 0.596139i | ||||
\(204\) | −0.127205 | + | 0.347081i | −0.00890616 | + | 0.0243006i | ||||
\(205\) | 12.7284 | − | 1.33781i | 0.888991 | − | 0.0934367i | ||||
\(206\) | 4.64740 | + | 10.4382i | 0.323800 | + | 0.727266i | ||||
\(207\) | 13.4070 | + | 14.0079i | 0.931849 | + | 0.973619i | ||||
\(208\) | −7.62565 | + | 13.4837i | −0.528744 | + | 0.934926i | ||||
\(209\) | −8.44616 | − | 21.9314i | −0.584233 | − | 1.51702i | ||||
\(210\) | 18.6390 | − | 9.85723i | 1.28621 | − | 0.680214i | ||||
\(211\) | 4.83495 | − | 22.7467i | 0.332852 | − | 1.56595i | −0.419856 | − | 0.907591i | \(-0.637919\pi\) |
0.752708 | − | 0.658355i | \(-0.228747\pi\) | |||||||
\(212\) | −1.70430 | − | 0.179129i | −0.117052 | − | 0.0123027i | ||||
\(213\) | −0.310187 | − | 4.58287i | −0.0212537 | − | 0.314013i | ||||
\(214\) | −6.00536 | − | 28.2530i | −0.410518 | − | 1.93134i | ||||
\(215\) | −2.60744 | − | 12.2671i | −0.177826 | − | 0.836606i | ||||
\(216\) | −6.94166 | − | 12.2114i | −0.472320 | − | 0.830883i | ||||
\(217\) | −33.2172 | − | 3.49127i | −2.25493 | − | 0.237003i | ||||
\(218\) | −0.214685 | + | 1.01001i | −0.0145403 | + | 0.0684067i | ||||
\(219\) | 2.43098 | + | 4.59674i | 0.164271 | + | 0.310619i | ||||
\(220\) | −0.264063 | + | 0.989820i | −0.0178031 | + | 0.0667337i | ||||
\(221\) | −2.42418 | − | 4.11383i | −0.163068 | − | 0.276726i | ||||
\(222\) | −15.2981 | − | 3.85054i | −1.02674 | − | 0.258431i | ||||
\(223\) | −3.51551 | − | 7.89596i | −0.235416 | − | 0.528752i | 0.756747 | − | 0.653708i | \(-0.226788\pi\) |
−0.992162 | + | 0.124956i | \(0.960121\pi\) | |||||||
\(224\) | −3.90768 | + | 0.410714i | −0.261093 | + | 0.0274420i | ||||
\(225\) | −2.43572 | − | 3.14643i | −0.162381 | − | 0.209762i | ||||
\(226\) | −3.59459 | + | 11.0630i | −0.239109 | + | 0.735900i | ||||
\(227\) | −3.80356 | + | 8.54294i | −0.252451 | + | 0.567015i | −0.994666 | − | 0.103147i | \(-0.967109\pi\) |
0.742215 | + | 0.670162i | \(0.233775\pi\) | |||||||
\(228\) | −1.55587 | − | 1.22118i | −0.103040 | − | 0.0808749i | ||||
\(229\) | −21.4972 | + | 6.98487i | −1.42058 | + | 0.461573i | −0.915785 | − | 0.401668i | \(-0.868431\pi\) |
−0.504791 | + | 0.863241i | \(0.668431\pi\) | |||||||
\(230\) | 9.10578 | + | 15.7717i | 0.600417 | + | 1.03995i | ||||
\(231\) | 2.19127 | − | 24.7217i | 0.144175 | − | 1.62657i | ||||
\(232\) | −4.83935 | − | 2.79400i | −0.317719 | − | 0.183435i | ||||
\(233\) | 4.65331 | + | 14.3214i | 0.304848 | + | 0.938226i | 0.979734 | + | 0.200304i | \(0.0641930\pi\) |
−0.674886 | + | 0.737922i | \(0.735807\pi\) | |||||||
\(234\) | −15.6719 | − | 2.69179i | −1.02451 | − | 0.175968i | ||||
\(235\) | −4.42485 | + | 3.21484i | −0.288646 | + | 0.209713i | ||||
\(236\) | 0.289446 | + | 0.321462i | 0.0188413 | + | 0.0209254i | ||||
\(237\) | 2.08157 | + | 11.9612i | 0.135213 | + | 0.776966i | ||||
\(238\) | 3.42118 | − | 7.68410i | 0.221762 | − | 0.498086i | ||||
\(239\) | −9.65551 | + | 13.2897i | −0.624563 | + | 0.859637i | −0.997675 | − | 0.0681492i | \(-0.978291\pi\) |
0.373112 | + | 0.927786i | \(0.378291\pi\) | |||||||
\(240\) | −3.90078 | − | 13.7191i | −0.251794 | − | 0.885566i | ||||
\(241\) | −11.9831 | − | 20.7553i | −0.771899 | − | 1.33697i | −0.936521 | − | 0.350612i | \(-0.885974\pi\) |
0.164621 | − | 0.986357i | \(-0.447360\pi\) | |||||||
\(242\) | 10.8467 | + | 11.9937i | 0.697252 | + | 0.770984i | ||||
\(243\) | 10.1527 | − | 11.8289i | 0.651297 | − | 0.758823i | ||||
\(244\) | 0.171409 | − | 0.806417i | 0.0109734 | − | 0.0516256i | ||||
\(245\) | −20.4262 | + | 9.09432i | −1.30498 | + | 0.581015i | ||||
\(246\) | −1.14818 | − | 16.9637i | −0.0732050 | − | 1.08157i | ||||
\(247\) | 24.9423 | − | 5.53407i | 1.58704 | − | 0.352124i | ||||
\(248\) | −6.45801 | + | 19.8757i | −0.410084 | + | 1.26211i | ||||
\(249\) | −3.60210 | + | 7.34374i | −0.228274 | + | 0.465391i | ||||
\(250\) | −7.25034 | − | 16.2845i | −0.458552 | − | 1.02992i | ||||
\(251\) | −1.20983 | − | 1.08934i | −0.0763640 | − | 0.0687585i | 0.630065 | − | 0.776543i | \(-0.283028\pi\) |
−0.706429 | + | 0.707784i | \(0.749695\pi\) | |||||||
\(252\) | −0.907250 | − | 1.88141i | −0.0571514 | − | 0.118518i | ||||
\(253\) | 21.4082 | + | 1.09851i | 1.34592 | + | 0.0690628i | ||||
\(254\) | −4.85905 | − | 8.41611i | −0.304884 | − | 0.528074i | ||||
\(255\) | 4.26353 | + | 1.07313i | 0.266993 | + | 0.0672022i | ||||
\(256\) | −0.401729 | + | 3.82220i | −0.0251081 | + | 0.238887i | ||||
\(257\) | −26.6036 | + | 2.79615i | −1.65949 | + | 0.174419i | −0.887370 | − | 0.461058i | \(-0.847470\pi\) |
−0.772119 | + | 0.635478i | \(0.780803\pi\) | |||||||
\(258\) | −16.4139 | + | 2.85645i | −1.02188 | + | 0.177835i | ||||
\(259\) | 25.4566 | + | 8.27136i | 1.58180 | + | 0.513957i | ||||
\(260\) | −1.02139 | − | 0.443904i | −0.0633439 | − | 0.0275298i | ||||
\(261\) | 1.10411 | − | 6.10231i | 0.0683430 | − | 0.377724i | ||||
\(262\) | 4.34564 | − | 20.4446i | 0.268474 | − | 1.26307i | ||||
\(263\) | 1.77203 | − | 3.06925i | 0.109268 | − | 0.189258i | −0.806206 | − | 0.591635i | \(-0.798483\pi\) |
0.915474 | + | 0.402377i | \(0.131816\pi\) | |||||||
\(264\) | −14.8453 | − | 4.55718i | −0.913667 | − | 0.280475i | ||||
\(265\) | 20.3817i | 1.25204i | ||||||||
\(266\) | 33.4455 | + | 30.1145i | 2.05067 | + | 1.84644i | ||||
\(267\) | 10.9867 | + | 8.62334i | 0.672377 | + | 0.527740i | ||||
\(268\) | 0.581447 | + | 0.800293i | 0.0355175 | + | 0.0488857i | ||||
\(269\) | 2.73087 | + | 12.8478i | 0.166504 | + | 0.783341i | 0.979559 | + | 0.201155i | \(0.0644694\pi\) |
−0.813055 | + | 0.582187i | \(0.802197\pi\) | |||||||
\(270\) | 11.9023 | − | 8.52631i | 0.724349 | − | 0.518895i | ||||
\(271\) | −0.699938 | − | 6.65947i | −0.0425182 | − | 0.404534i | −0.994995 | − | 0.0999231i | \(-0.968140\pi\) |
0.952477 | − | 0.304611i | \(-0.0985263\pi\) | |||||||
\(272\) | −4.60314 | − | 3.34438i | −0.279107 | − | 0.202783i | ||||
\(273\) | 26.2222 | + | 6.35257i | 1.58704 | + | 0.384475i | ||||
\(274\) | 24.0903i | 1.45535i | ||||||||
\(275\) | −4.34558 | − | 0.683408i | −0.262048 | − | 0.0412110i | ||||
\(276\) | 1.59480 | − | 0.843407i | 0.0959954 | − | 0.0507671i | ||||
\(277\) | 1.85805 | + | 1.67299i | 0.111639 | + | 0.100520i | 0.723060 | − | 0.690785i | \(-0.242735\pi\) |
−0.611421 | + | 0.791306i | \(0.709402\pi\) | |||||||
\(278\) | −7.40950 | − | 5.38332i | −0.444392 | − | 0.322870i | ||||
\(279\) | −23.1818 | + | 0.705925i | −1.38786 | + | 0.0422626i | ||||
\(280\) | 4.65412 | + | 21.8959i | 0.278137 | + | 1.30853i | ||||
\(281\) | −10.4632 | − | 3.39969i | −0.624180 | − | 0.202808i | −0.0201847 | − | 0.999796i | \(-0.506425\pi\) |
−0.603995 | + | 0.796988i | \(0.706425\pi\) | |||||||
\(282\) | 4.04964 | + | 6.03284i | 0.241153 | + | 0.359251i | ||||
\(283\) | 8.94731 | + | 20.0960i | 0.531862 | + | 1.19458i | 0.957168 | + | 0.289533i | \(0.0935000\pi\) |
−0.425306 | + | 0.905050i | \(0.639833\pi\) | |||||||
\(284\) | −0.418036 | − | 0.0888563i | −0.0248059 | − | 0.00527265i | ||||
\(285\) | −12.5103 | + | 19.9216i | −0.741045 | + | 1.18005i | ||||
\(286\) | −14.6472 | + | 9.72139i | −0.866105 | + | 0.574838i | ||||
\(287\) | 28.8491i | 1.70291i | ||||||||
\(288\) | −2.65026 | + | 0.648230i | −0.156168 | + | 0.0381973i | ||||
\(289\) | −13.9280 | + | 6.20116i | −0.819296 | + | 0.364774i | ||||
\(290\) | 2.36905 | − | 5.32096i | 0.139115 | − | 0.312458i | ||||
\(291\) | 8.01687 | − | 6.69651i | 0.469957 | − | 0.392557i | ||||
\(292\) | 0.473243 | − | 0.100591i | 0.0276945 | − | 0.00588664i | ||||
\(293\) | 8.40707 | − | 18.8826i | 0.491146 | − | 1.10313i | −0.482671 | − | 0.875802i | \(-0.660333\pi\) |
0.973818 | − | 0.227331i | \(-0.0729999\pi\) | |||||||
\(294\) | 11.0657 | + | 27.5656i | 0.645366 | + | 1.60766i | ||||
\(295\) | 3.44251 | − | 3.82330i | 0.200431 | − | 0.222601i | ||||
\(296\) | 8.37397 | − | 14.5041i | 0.486727 | − | 0.843037i | ||||
\(297\) | −0.805478 | − | 17.2149i | −0.0467386 | − | 0.998907i | ||||
\(298\) | −7.61475 | −0.441111 | ||||||||
\(299\) | −4.64211 | + | 22.8368i | −0.268460 | + | 1.32068i | ||||
\(300\) | −0.343569 | + | 0.137920i | −0.0198360 | + | 0.00796279i | ||||
\(301\) | 28.1140 | − | 2.95490i | 1.62046 | − | 0.170317i | ||||
\(302\) | −18.6235 | + | 16.7686i | −1.07166 | + | 0.964926i | ||||
\(303\) | 0.934318 | − | 2.54930i | 0.0536752 | − | 0.146453i | ||||
\(304\) | 24.6295 | − | 17.8944i | 1.41260 | − | 1.02631i | ||||
\(305\) | −9.75166 | − | 1.02494i | −0.558379 | − | 0.0586879i | ||||
\(306\) | 1.63496 | − | 5.60717i | 0.0934642 | − | 0.320541i | ||||
\(307\) | −5.22659 | −0.298297 | −0.149149 | − | 0.988815i | \(-0.547653\pi\) | ||||
−0.149149 | + | 0.988815i | \(0.547653\pi\) | |||||||
\(308\) | −2.15671 | − | 0.825181i | −0.122890 | − | 0.0470190i | ||||
\(309\) | −6.29355 | − | 11.9004i | −0.358027 | − | 0.676993i | ||||
\(310\) | −21.3071 | − | 4.52896i | −1.21016 | − | 0.257228i | ||||
\(311\) | −0.487141 | + | 0.670493i | −0.0276233 | + | 0.0380202i | −0.822605 | − | 0.568613i | \(-0.807480\pi\) |
0.794982 | + | 0.606633i | \(0.207480\pi\) | |||||||
\(312\) | 7.29922 | − | 15.2223i | 0.413237 | − | 0.861794i | ||||
\(313\) | −7.43798 | + | 22.8918i | −0.420420 | + | 1.29392i | 0.486893 | + | 0.873462i | \(0.338130\pi\) |
−0.907313 | + | 0.420457i | \(0.861870\pi\) | |||||||
\(314\) | −6.81470 | + | 6.13598i | −0.384576 | + | 0.346273i | ||||
\(315\) | −21.1260 | + | 13.0702i | −1.19032 | + | 0.736424i | ||||
\(316\) | 1.12344 | + | 0.118078i | 0.0631983 | + | 0.00664241i | ||||
\(317\) | −7.52588 | − | 23.1623i | −0.422696 | − | 1.30092i | −0.905184 | − | 0.425021i | \(-0.860267\pi\) |
0.482488 | − | 0.875903i | \(-0.339733\pi\) | |||||||
\(318\) | 27.0580 | + | 1.00536i | 1.51734 | + | 0.0563780i | ||||
\(319\) | −3.74027 | − | 5.74576i | −0.209415 | − | 0.321701i | ||||
\(320\) | 13.9068 | 0.777415 | ||||||||
\(321\) | 9.30724 | + | 32.7338i | 0.519480 | + | 1.82702i | ||||
\(322\) | −37.5016 | + | 16.6968i | −2.08988 | + | 0.930475i | ||||
\(323\) | 0.980920 | + | 9.33283i | 0.0545798 | + | 0.519292i | ||||
\(324\) | −0.800276 | − | 1.20962i | −0.0444598 | − | 0.0672009i | ||||
\(325\) | 1.43725 | − | 4.56112i | 0.0797245 | − | 0.253005i | ||||
\(326\) | 20.1203 | − | 14.6182i | 1.11436 | − | 0.809629i | ||||
\(327\) | 0.172004 | − | 1.20436i | 0.00951184 | − | 0.0666012i | ||||
\(328\) | 17.6565 | + | 3.75300i | 0.974915 | + | 0.207224i | ||||
\(329\) | −6.16429 | − | 10.6769i | −0.339848 | − | 0.588635i | ||||
\(330\) | 3.10661 | − | 15.8854i | 0.171013 | − | 0.874464i | ||||
\(331\) | −11.8903 | + | 6.86487i | −0.653551 | + | 0.377328i | −0.789815 | − | 0.613345i | \(-0.789824\pi\) |
0.136265 | + | 0.990672i | \(0.456490\pi\) | |||||||
\(332\) | 0.565567 | + | 0.509239i | 0.0310395 | + | 0.0279481i | ||||
\(333\) | 18.2894 | + | 3.30917i | 1.00225 | + | 0.181342i | ||||
\(334\) | 15.3292 | + | 6.82498i | 0.838774 | + | 0.373446i | ||||
\(335\) | 8.74327 | − | 7.87247i | 0.477696 | − | 0.430119i | ||||
\(336\) | 31.6739 | − | 5.51209i | 1.72795 | − | 0.300709i | ||||
\(337\) | −9.47654 | − | 13.0433i | −0.516220 | − | 0.710516i | 0.468733 | − | 0.883340i | \(-0.344711\pi\) |
−0.984953 | + | 0.172824i | \(0.944711\pi\) | |||||||
\(338\) | −8.08265 | − | 17.3178i | −0.439638 | − | 0.941963i | ||||
\(339\) | 3.34526 | − | 13.2906i | 0.181689 | − | 0.721849i | ||||
\(340\) | 0.204531 | − | 0.354257i | 0.0110922 | − | 0.0192123i | ||||
\(341\) | −18.1107 | + | 18.1503i | −0.980747 | + | 0.982892i | ||||
\(342\) | 25.8300 | + | 17.5908i | 1.39673 | + | 0.951204i | ||||
\(343\) | −6.22892 | − | 19.1706i | −0.336330 | − | 1.03512i | ||||
\(344\) | 1.84888 | − | 17.5909i | 0.0996851 | − | 0.948440i | ||||
\(345\) | −11.9588 | − | 17.8152i | −0.643838 | − | 0.959140i | ||||
\(346\) | 12.2643 | + | 3.98492i | 0.659334 | + | 0.214231i | ||||
\(347\) | 4.04761 | − | 0.860346i | 0.217287 | − | 0.0461858i | −0.0979818 | − | 0.995188i | \(-0.531239\pi\) |
0.315269 | + | 0.949002i | \(0.397905\pi\) | |||||||
\(348\) | −0.518030 | − | 0.254093i | −0.0277693 | − | 0.0136208i | ||||
\(349\) | −16.6632 | + | 7.41896i | −0.891963 | + | 0.397128i | −0.800956 | − | 0.598723i | \(-0.795675\pi\) |
−0.0910068 | + | 0.995850i | \(0.529008\pi\) | |||||||
\(350\) | 8.01174 | − | 2.60317i | 0.428246 | − | 0.139145i | ||||
\(351\) | 18.6366 | + | 1.91731i | 0.994750 | + | 0.102339i | ||||
\(352\) | −1.64005 | + | 2.53151i | −0.0874151 | + | 0.134930i | ||||
\(353\) | −11.1210 | + | 19.2622i | −0.591913 | + | 1.02522i | 0.402062 | + | 0.915613i | \(0.368294\pi\) |
−0.993975 | + | 0.109611i | \(0.965040\pi\) | |||||||
\(354\) | −4.90586 | − | 4.75874i | −0.260743 | − | 0.252924i | ||||
\(355\) | −0.531316 | + | 5.05514i | −0.0281993 | + | 0.268299i | ||||
\(356\) | 1.05132 | − | 0.763825i | 0.0557196 | − | 0.0404827i | ||||
\(357\) | −3.41025 | + | 9.30491i | −0.180490 | + | 0.492468i | ||||
\(358\) | 9.34227 | − | 1.98576i | 0.493754 | − | 0.104951i | ||||
\(359\) | 5.46511 | + | 7.52208i | 0.288438 | + | 0.397000i | 0.928506 | − | 0.371318i | \(-0.121094\pi\) |
−0.640068 | + | 0.768318i | \(0.721094\pi\) | |||||||
\(360\) | 5.25105 | + | 14.6300i | 0.276755 | + | 0.771070i | ||||
\(361\) | −30.5291 | − | 6.48917i | −1.60680 | − | 0.341535i | ||||
\(362\) | −12.6343 | − | 7.29440i | −0.664043 | − | 0.383385i | ||||
\(363\) | −13.7046 | − | 13.2357i | −0.719307 | − | 0.694693i | ||||
\(364\) | 1.23578 | − | 2.18510i | 0.0647723 | − | 0.114531i | ||||
\(365\) | −1.77816 | − | 5.47262i | −0.0930733 | − | 0.286450i | ||||
\(366\) | −1.84169 | + | 12.8954i | −0.0962666 | + | 0.674052i | ||||
\(367\) | −1.22082 | − | 11.6153i | −0.0637264 | − | 0.606316i | −0.979053 | − | 0.203604i | \(-0.934734\pi\) |
0.915327 | − | 0.402712i | \(-0.131932\pi\) | |||||||
\(368\) | 5.77341 | + | 27.1618i | 0.300960 | + | 1.41590i | ||||
\(369\) | 2.69938 | + | 19.8497i | 0.140524 | + | 1.03333i | ||||
\(370\) | 15.9476 | + | 7.10033i | 0.829077 | + | 0.369129i | ||||
\(371\) | −45.6907 | − | 4.80228i | −2.37214 | − | 0.249322i | ||||
\(372\) | −0.526712 | + | 2.09262i | −0.0273088 | + | 0.108497i | ||||
\(373\) | 22.7730 | − | 13.1480i | 1.17914 | − | 0.680779i | 0.223327 | − | 0.974744i | \(-0.428308\pi\) |
0.955816 | + | 0.293965i | \(0.0949750\pi\) | |||||||
\(374\) | −2.93775 | − | 5.75012i | −0.151907 | − | 0.297331i | ||||
\(375\) | 9.81847 | + | 18.5657i | 0.507024 | + | 0.958729i | ||||
\(376\) | −7.33646 | + | 2.38376i | −0.378349 | + | 0.122933i | ||||
\(377\) | 6.78155 | − | 3.09193i | 0.349267 | − | 0.159243i | ||||
\(378\) | 16.3095 | + | 28.6908i | 0.838868 | + | 1.47570i | ||||
\(379\) | −0.672151 | + | 0.605207i | −0.0345261 | + | 0.0310874i | −0.686213 | − | 0.727401i | \(-0.740728\pi\) |
0.651687 | + | 0.758488i | \(0.274062\pi\) | |||||||
\(380\) | 1.46454 | + | 1.62653i | 0.0751292 | + | 0.0834394i | ||||
\(381\) | 6.38146 | + | 9.50660i | 0.326932 | + | 0.487038i | ||||
\(382\) | −7.77574 | − | 5.64940i | −0.397841 | − | 0.289049i | ||||
\(383\) | −8.45181 | + | 9.38668i | −0.431867 | + | 0.479637i | −0.919319 | − | 0.393513i | \(-0.871260\pi\) |
0.487452 | + | 0.873150i | \(0.337926\pi\) | |||||||
\(384\) | 0.802954 | − | 21.6105i | 0.0409756 | − | 1.10280i | ||||
\(385\) | −7.07927 | + | 26.5361i | −0.360793 | + | 1.35241i | ||||
\(386\) | 23.9307 | − | 13.8164i | 1.21804 | − | 0.703236i | ||||
\(387\) | 19.0674 | − | 4.66371i | 0.969249 | − | 0.237070i | ||||
\(388\) | −0.395305 | − | 0.887869i | −0.0200686 | − | 0.0450747i | ||||
\(389\) | 14.1900 | + | 19.5309i | 0.719462 | + | 0.990254i | 0.999542 | + | 0.0302774i | \(0.00963908\pi\) |
−0.280080 | + | 0.959977i | \(0.590361\pi\) | |||||||
\(390\) | 16.5750 | + | 5.90797i | 0.839307 | + | 0.299162i | ||||
\(391\) | −8.14067 | − | 2.64506i | −0.411691 | − | 0.133767i | ||||
\(392\) | −31.3625 | + | 3.29633i | −1.58404 | + | 0.166490i | ||||
\(393\) | −3.48169 | + | 24.3785i | −0.175628 | + | 1.22973i | ||||
\(394\) | −8.79854 | + | 9.77176i | −0.443264 | + | 0.492294i | ||||
\(395\) | − | 13.4352i | − | 0.675997i | ||||||
\(396\) | −1.56114 | − | 0.365966i | −0.0784501 | − | 0.0183905i | ||||
\(397\) | −25.9830 | + | 15.0013i | −1.30405 | + | 0.752893i | −0.981096 | − | 0.193522i | \(-0.938009\pi\) |
−0.322953 | + | 0.946415i | \(0.604676\pi\) | |||||||
\(398\) | 10.8257 | − | 3.51750i | 0.542645 | − | 0.176316i | ||||
\(399\) | −41.7114 | − | 32.7387i | −2.08818 | − | 1.63899i | ||||
\(400\) | −0.595648 | − | 5.66721i | −0.0297824 | − | 0.283360i | ||||
\(401\) | 17.2734 | + | 19.1841i | 0.862595 | + | 0.958008i | 0.999469 | − | 0.0325800i | \(-0.0103724\pi\) |
−0.136875 | + | 0.990588i | \(0.543706\pi\) | |||||||
\(402\) | −10.0199 | − | 11.9956i | −0.499748 | − | 0.598284i | ||||
\(403\) | −16.5839 | − | 22.4039i | −0.826105 | − | 1.11602i | ||||
\(404\) | −0.204374 | − | 0.148487i | −0.0101680 | − | 0.00738748i | ||||
\(405\) | −13.3128 | + | 10.9697i | −0.661519 | + | 0.545090i | ||||
\(406\) | 11.3701 | + | 6.56451i | 0.564287 | + | 0.325791i | ||||
\(407\) | 17.2208 | − | 11.2101i | 0.853602 | − | 0.555662i | ||||
\(408\) | 5.25123 | + | 3.29765i | 0.259974 | + | 0.163258i | ||||
\(409\) | 15.4856 | − | 17.1985i | 0.765712 | − | 0.850409i | −0.226623 | − | 0.973982i | \(-0.572769\pi\) |
0.992335 | + | 0.123573i | \(0.0394353\pi\) | |||||||
\(410\) | −1.96670 | + | 18.7119i | −0.0971282 | + | 0.924113i | ||||
\(411\) | −1.91670 | − | 28.3183i | −0.0945439 | − | 1.39684i | ||||
\(412\) | −1.22518 | + | 0.260419i | −0.0603601 | + | 0.0128299i | ||||
\(413\) | 7.75975 | + | 8.61808i | 0.381832 | + | 0.424068i | ||||
\(414\) | −24.2407 | + | 14.9972i | −1.19137 | + | 0.737073i | ||||
\(415\) | 5.32033 | − | 7.32280i | 0.261165 | − | 0.359462i | ||||
\(416\) | −2.45628 | − | 2.17238i | −0.120429 | − | 0.106510i | ||||
\(417\) | 9.13824 | + | 5.73861i | 0.447501 | + | 0.281021i | ||||
\(418\) | 34.1180 | − | 5.44197i | 1.66877 | − | 0.266175i | ||||
\(419\) | 12.0775 | + | 6.97297i | 0.590026 | + | 0.340652i | 0.765108 | − | 0.643902i | \(-0.222686\pi\) |
−0.175082 | + | 0.984554i | \(0.556019\pi\) | |||||||
\(420\) | 0.632141 | + | 2.22326i | 0.0308453 | + | 0.108484i | ||||
\(421\) | −3.45412 | + | 4.75419i | −0.168343 | + | 0.231705i | −0.884851 | − | 0.465875i | \(-0.845740\pi\) |
0.716507 | + | 0.697580i | \(0.245740\pi\) | |||||||
\(422\) | 31.2310 | + | 13.9050i | 1.52030 | + | 0.676883i | ||||
\(423\) | −5.24037 | − | 6.76945i | −0.254796 | − | 0.329142i | ||||
\(424\) | −8.88306 | + | 27.3393i | −0.431400 | + | 1.32771i | ||||
\(425\) | 1.60467 | + | 0.714445i | 0.0778379 | + | 0.0346557i | ||||
\(426\) | 6.68480 | + | 0.954708i | 0.323879 | + | 0.0462558i | ||||
\(427\) | 4.59531 | − | 21.6193i | 0.222383 | − | 1.04623i | ||||
\(428\) | 3.16634 | 0.153051 | ||||||||
\(429\) | 16.4444 | − | 12.5929i | 0.793942 | − | 0.607993i | ||||
\(430\) | 18.4365 | 0.889087 | ||||||||
\(431\) | 3.31159 | − | 15.5798i | 0.159514 | − | 0.750454i | −0.823558 | − | 0.567232i | \(-0.808014\pi\) |
0.983072 | − | 0.183221i | \(-0.0586525\pi\) | |||||||
\(432\) | 21.2775 | − | 6.75629i | 1.02371 | − | 0.325062i | ||||
\(433\) | −4.67875 | − | 2.08311i | −0.224846 | − | 0.100108i | 0.291222 | − | 0.956656i | \(-0.405938\pi\) |
−0.516068 | + | 0.856548i | \(0.672605\pi\) | |||||||
\(434\) | 15.1731 | − | 46.6980i | 0.728332 | − | 2.24158i | ||||
\(435\) | −2.36148 | + | 6.44332i | −0.113224 | + | 0.308933i | ||||
\(436\) | −0.103407 | − | 0.0460398i | −0.00495230 | − | 0.00220491i | ||||
\(437\) | 26.9199 | − | 37.0521i | 1.28776 | − | 1.77244i | ||||
\(438\) | −7.35295 | + | 2.09067i | −0.351338 | + | 0.0998963i | ||||
\(439\) | 14.4155 | + | 8.32278i | 0.688013 | + | 0.397225i | 0.802867 | − | 0.596158i | \(-0.203307\pi\) |
−0.114854 | + | 0.993382i | \(0.536640\pi\) | |||||||
\(440\) | 15.3199 | + | 7.78482i | 0.730348 | + | 0.371126i | ||||
\(441\) | −15.2010 | − | 31.5231i | −0.723859 | − | 1.50110i | ||||
\(442\) | 6.65648 | − | 2.22850i | 0.316617 | − | 0.105999i | ||||
\(443\) | 1.00739 | − | 1.38656i | 0.0478627 | − | 0.0658773i | −0.784415 | − | 0.620237i | \(-0.787037\pi\) |
0.832278 | + | 0.554359i | \(0.187037\pi\) | |||||||
\(444\) | 0.761550 | − | 1.55260i | 0.0361415 | − | 0.0736833i | ||||
\(445\) | −10.3418 | − | 11.4857i | −0.490247 | − | 0.544475i | ||||
\(446\) | 12.4286 | − | 2.64178i | 0.588511 | − | 0.125092i | ||||
\(447\) | 8.95119 | − | 0.605853i | 0.423377 | − | 0.0286559i | ||||
\(448\) | −3.27668 | + | 31.1756i | −0.154809 | + | 1.47291i | ||||
\(449\) | −14.1397 | + | 15.7037i | −0.667292 | + | 0.741103i | −0.977817 | − | 0.209462i | \(-0.932829\pi\) |
0.310524 | + | 0.950565i | \(0.399495\pi\) | |||||||
\(450\) | 5.26891 | − | 2.54077i | 0.248379 | − | 0.119773i | ||||
\(451\) | 17.2264 | + | 13.9185i | 0.811157 | + | 0.655397i | ||||
\(452\) | −1.10432 | − | 0.637579i | −0.0519428 | − | 0.0299892i | ||||
\(453\) | 20.5578 | − | 21.1934i | 0.965891 | − | 0.995752i | ||||
\(454\) | −11.1219 | − | 8.08051i | −0.521975 | − | 0.379237i | ||||
\(455\) | −27.3824 | − | 11.9006i | −1.28371 | − | 0.557911i | ||||
\(456\) | −25.4633 | + | 21.2696i | −1.19243 | + | 0.996039i | ||||
\(457\) | 25.3498 | + | 28.1538i | 1.18581 | + | 1.31698i | 0.937372 | + | 0.348330i | \(0.113251\pi\) |
0.248440 | + | 0.968647i | \(0.420082\pi\) | |||||||
\(458\) | −3.47339 | − | 33.0471i | −0.162301 | − | 1.54419i | ||||
\(459\) | −1.47578 | + | 6.72135i | −0.0688834 | + | 0.313726i | ||||
\(460\) | −1.89868 | + | 0.616917i | −0.0885262 | + | 0.0287639i | ||||
\(461\) | 17.9568 | − | 10.3674i | 0.836331 | − | 0.482856i | −0.0196844 | − | 0.999806i | \(-0.506266\pi\) |
0.856015 | + | 0.516950i | \(0.172933\pi\) | |||||||
\(462\) | 34.8791 | + | 10.7071i | 1.62272 | + | 0.498140i | ||||
\(463\) | − | 26.2807i | − | 1.22137i | −0.791875 | − | 0.610683i | \(-0.790895\pi\) | ||
0.791875 | − | 0.610683i | \(-0.209105\pi\) | |||||||
\(464\) | 5.94261 | − | 6.59994i | 0.275879 | − | 0.306394i | ||||
\(465\) | 25.4070 | + | 3.62857i | 1.17822 | + | 0.168271i | ||||
\(466\) | −22.0159 | + | 2.31396i | −1.01987 | + | 0.107192i | ||||
\(467\) | −17.3822 | − | 5.64783i | −0.804354 | − | 0.261350i | −0.122149 | − | 0.992512i | \(-0.538979\pi\) |
−0.682205 | + | 0.731161i | \(0.738979\pi\) | |||||||
\(468\) | 0.645821 | − | 1.61909i | 0.0298531 | − | 0.0748426i | ||||
\(469\) | 15.5880 | + | 21.4551i | 0.719788 | + | 0.990703i | ||||
\(470\) | −3.27037 | − | 7.34538i | −0.150851 | − | 0.338817i | ||||
\(471\) | 7.52253 | − | 7.75509i | 0.346620 | − | 0.357336i | ||||
\(472\) | 6.28398 | − | 3.62806i | 0.289244 | − | 0.166995i | ||||
\(473\) | 11.7994 | − | 18.2130i | 0.542538 | − | 0.837436i | ||||
\(474\) | −17.8360 | − | 0.662713i | −0.819236 | − | 0.0304394i | ||||
\(475\) | −6.28880 | + | 6.98442i | −0.288550 | + | 0.320467i | ||||
\(476\) | 0.745964 | + | 0.541974i | 0.0341912 | + | 0.0248414i | ||||
\(477\) | −31.8869 | + | 0.971008i | −1.46000 | + | 0.0444594i | ||||
\(478\) | −16.1588 | − | 17.9462i | −0.739088 | − | 0.820840i | ||||
\(479\) | 7.63265 | − | 6.87247i | 0.348745 | − | 0.314011i | −0.476078 | − | 0.879403i | \(-0.657942\pi\) |
0.824822 | + | 0.565392i | \(0.191275\pi\) | |||||||
\(480\) | 3.01232 | − | 0.203886i | 0.137493 | − | 0.00930608i | ||||
\(481\) | 9.26692 | + | 20.3252i | 0.422535 | + | 0.926748i | ||||
\(482\) | 33.5080 | − | 10.8874i | 1.52625 | − | 0.495908i | ||||
\(483\) | 42.7549 | − | 22.6109i | 1.94542 | − | 1.02883i | ||||
\(484\) | −1.53326 | + | 0.889697i | −0.0696934 | + | 0.0404408i | ||||
\(485\) | −10.0106 | + | 5.77960i | −0.454556 | + | 0.262438i | ||||
\(486\) | 13.9063 | + | 18.2147i | 0.630803 | + | 0.826235i | ||||
\(487\) | 27.9673 | + | 2.93948i | 1.26732 | + | 0.133201i | 0.714224 | − | 0.699918i | \(-0.246780\pi\) |
0.553095 | + | 0.833118i | \(0.313447\pi\) | |||||||
\(488\) | −12.6338 | − | 5.62492i | −0.571905 | − | 0.254628i | ||||
\(489\) | −22.4885 | + | 18.7847i | −1.01696 | + | 0.849472i | ||||
\(490\) | −6.83406 | − | 32.1517i | −0.308731 | − | 1.45247i | ||||
\(491\) | 0.319006 | + | 3.03514i | 0.0143965 | + | 0.136974i | 0.999359 | − | 0.0357933i | \(-0.0113958\pi\) |
−0.984963 | + | 0.172767i | \(0.944729\pi\) | |||||||
\(492\) | 1.84513 | + | 0.263518i | 0.0831849 | + | 0.0118803i | ||||
\(493\) | 0.845959 | + | 2.60359i | 0.0381001 | + | 0.117260i | ||||
\(494\) | 0.334204 | + | 37.5576i | 0.0150366 | + | 1.68979i | ||||
\(495\) | −2.38795 | + | 18.9206i | −0.107330 | + | 0.850418i | ||||
\(496\) | −28.7645 | − | 16.6072i | −1.29156 | − | 0.745685i | ||||
\(497\) | −11.2071 | − | 2.38215i | −0.502709 | − | 0.106854i | ||||
\(498\) | −9.45904 | − | 7.42427i | −0.423870 | − | 0.332690i | ||||
\(499\) | −1.02579 | − | 1.41188i | −0.0459206 | − | 0.0632043i | 0.785439 | − | 0.618939i | \(-0.212437\pi\) |
−0.831360 | + | 0.555734i | \(0.812437\pi\) | |||||||
\(500\) | 1.91138 | − | 0.406276i | 0.0854794 | − | 0.0181692i | ||||
\(501\) | −18.5626 | − | 6.80318i | −0.829314 | − | 0.303944i | ||||
\(502\) | 1.93621 | − | 1.40674i | 0.0864173 | − | 0.0627858i | ||||
\(503\) | 0.995203 | − | 9.46873i | 0.0443739 | − | 0.422190i | −0.949674 | − | 0.313241i | \(-0.898585\pi\) |
0.994047 | − | 0.108948i | \(-0.0347483\pi\) | |||||||
\(504\) | −34.0341 | + | 8.32444i | −1.51600 | + | 0.370800i | ||||
\(505\) | −1.50227 | + | 2.60200i | −0.0668500 | + | 0.115788i | ||||
\(506\) | −8.12300 | + | 30.4484i | −0.361111 | + | 1.35360i | ||||
\(507\) | 10.8791 | + | 19.7141i | 0.483157 | + | 0.875534i | ||||
\(508\) | 1.01318 | − | 0.329201i | 0.0449524 | − | 0.0146059i | ||||
\(509\) | 26.6142 | − | 11.8494i | 1.17966 | − | 0.525217i | 0.279229 | − | 0.960224i | \(-0.409921\pi\) |
0.900427 | + | 0.435008i | \(0.143254\pi\) | |||||||
\(510\) | −2.84626 | + | 5.80280i | −0.126035 | + | 0.256952i | ||||
\(511\) | 12.6872 | − | 2.69675i | 0.561248 | − | 0.119297i | ||||
\(512\) | 18.3753 | + | 5.97049i | 0.812080 | + | 0.263861i | ||||
\(513\) | −31.7629 | − | 18.6230i | −1.40237 | − | 0.822227i | ||||
\(514\) | 4.11059 | − | 39.1096i | 0.181310 | − | 1.72505i | ||||
\(515\) | 4.60347 | + | 14.1680i | 0.202853 | + | 0.624318i | ||||
\(516\) | 0.0678133 | − | 1.82511i | 0.00298532 | − | 0.0803458i | ||||
\(517\) | −9.34939 | − | 1.47033i | −0.411186 | − | 0.0646651i | ||||
\(518\) | −19.6747 | + | 34.0775i | −0.864455 | + | 1.49728i | ||||
\(519\) | −14.7339 | − | 3.70851i | −0.646744 | − | 0.162786i | ||||
\(520\) | −10.8457 | + | 15.2107i | −0.475617 | + | 0.667032i | ||||
\(521\) | −15.6446 | − | 21.5329i | −0.685403 | − | 0.943376i | 0.314580 | − | 0.949231i | \(-0.398136\pi\) |
−0.999983 | + | 0.00585523i | \(0.998136\pi\) | |||||||
\(522\) | 8.43742 | + | 3.45283i | 0.369296 | + | 0.151126i | ||||
\(523\) | −12.8294 | + | 11.5516i | −0.560989 | + | 0.505117i | −0.900131 | − | 0.435618i | \(-0.856530\pi\) |
0.339143 | + | 0.940735i | \(0.389863\pi\) | |||||||
\(524\) | 2.09316 | + | 0.931934i | 0.0914400 | + | 0.0407117i | ||||
\(525\) | −9.21074 | + | 3.69749i | −0.401990 | + | 0.161372i | ||||
\(526\) | 3.87185 | + | 3.48623i | 0.168821 | + | 0.152007i | ||||
\(527\) | 8.86660 | − | 5.11913i | 0.386235 | − | 0.222993i | ||||
\(528\) | 11.9900 | − | 21.5725i | 0.521797 | − | 0.938821i | ||||
\(529\) | 9.38720 | + | 16.2591i | 0.408139 | + | 0.706918i | ||||
\(530\) | −29.3082 | − | 6.22964i | −1.27307 | − | 0.270598i | ||||
\(531\) | 6.14549 | + | 5.20361i | 0.266692 | + | 0.225817i | ||||
\(532\) | −3.99134 | + | 2.89988i | −0.173047 | + | 0.125726i | ||||
\(533\) | −17.7478 | + | 16.2685i | −0.768744 | + | 0.704666i | ||||
\(534\) | −15.7581 | + | 13.1628i | −0.681920 | + | 0.569610i | ||||
\(535\) | −3.93642 | − | 37.4525i | −0.170186 | − | 1.61921i | ||||
\(536\) | 15.1590 | − | 6.74921i | 0.654768 | − | 0.291521i | ||||
\(537\) | −10.8239 | + | 3.07757i | −0.467086 | + | 0.132807i | ||||
\(538\) | −19.3093 | −0.832481 | ||||||||
\(539\) | −36.1358 | − | 13.8260i | −1.55648 | − | 0.595527i | ||||
\(540\) | 0.642973 | + | 1.47057i | 0.0276692 | + | 0.0632831i | ||||
\(541\) | −6.73916 | − | 20.7410i | −0.289739 | − | 0.891726i | −0.984938 | − | 0.172908i | \(-0.944684\pi\) |
0.695199 | − | 0.718818i | \(-0.255316\pi\) | |||||||
\(542\) | 9.78999 | + | 1.02897i | 0.420516 | + | 0.0441980i | ||||
\(543\) | 15.4320 | + | 7.56940i | 0.662252 | + | 0.324834i | ||||
\(544\) | 0.895068 | − | 0.805923i | 0.0383757 | − | 0.0345536i | ||||
\(545\) | −0.416017 | + | 1.28037i | −0.0178202 | + | 0.0548450i | ||||
\(546\) | −17.1495 | + | 35.7649i | −0.733932 | + | 1.53059i | ||||
\(547\) | 4.56078 | − | 6.27738i | 0.195005 | − | 0.268401i | −0.700306 | − | 0.713843i | \(-0.746953\pi\) |
0.895311 | + | 0.445441i | \(0.146953\pi\) | |||||||
\(548\) | −2.58312 | − | 0.549059i | −0.110345 | − | 0.0234546i | ||||
\(549\) | 1.13892 | − | 15.3051i | 0.0486080 | − | 0.653207i | ||||
\(550\) | 2.31093 | − | 6.03989i | 0.0985385 | − | 0.257542i | ||||
\(551\) | −14.6477 | −0.624011 | ||||||||
\(552\) | −8.27651 | − | 29.1087i | −0.352271 | − | 1.23895i | ||||
\(553\) | 30.1183 | + | 3.16556i | 1.28076 | + | 0.134613i | ||||
\(554\) | −2.97361 | + | 2.16045i | −0.126336 | + | 0.0917888i | ||||
\(555\) | −19.3115 | − | 7.07765i | −0.819725 | − | 0.300430i | ||||
\(556\) | 0.746109 | − | 0.671800i | 0.0316421 | − | 0.0284906i | ||||
\(557\) | 23.3731 | − | 2.45662i | 0.990352 | − | 0.104090i | 0.404525 | − | 0.914527i | \(-0.367437\pi\) |
0.585826 | + | 0.810437i | \(0.300770\pi\) | |||||||
\(558\) | 6.07039 | − | 33.5503i | 0.256980 | − | 1.42030i | ||||
\(559\) | 17.6718 | + | 15.6293i | 0.747437 | + | 0.661048i | ||||
\(560\) | −35.5769 | −1.50340 | ||||||||
\(561\) | 3.91084 | + | 6.52557i | 0.165116 | + | 0.275510i | ||||
\(562\) | 8.08667 | − | 14.0065i | 0.341115 | − | 0.590829i | ||||
\(563\) | −23.7735 | + | 26.4032i | −1.00194 | + | 1.11276i | −0.00831687 | + | 0.999965i | \(0.502647\pi\) |
−0.993618 | + | 0.112796i | \(0.964019\pi\) | |||||||
\(564\) | −0.739178 | + | 0.296730i | −0.0311250 | + | 0.0124946i | ||||
\(565\) | −6.16860 | + | 13.8549i | −0.259515 | + | 0.582880i | ||||
\(566\) | −31.6320 | + | 6.72359i | −1.32959 | + | 0.282613i | ||||
\(567\) | −21.4546 | − | 32.4286i | −0.901009 | − | 1.36187i | ||||
\(568\) | −2.91589 | + | 6.54919i | −0.122348 | + | 0.274798i | ||||
\(569\) | 40.8208 | − | 18.1746i | 1.71130 | − | 0.761919i | 0.713155 | − | 0.701007i | \(-0.247266\pi\) |
0.998143 | − | 0.0609123i | \(-0.0194010\pi\) | |||||||
\(570\) | −24.8227 | − | 24.0783i | −1.03971 | − | 1.00853i | ||||
\(571\) | 41.0593i | 1.71828i | 0.511742 | + | 0.859139i | \(0.329000\pi\) | ||||
−0.511742 | + | 0.859139i | \(0.671000\pi\) | |||||||
\(572\) | −0.708557 | − | 1.79213i | −0.0296262 | − | 0.0749327i | ||||
\(573\) | 9.58992 | + | 6.02225i | 0.400625 | + | 0.251583i | ||||
\(574\) | −41.4839 | − | 8.81767i | −1.73150 | − | 0.368042i | ||||
\(575\) | −3.48678 | − | 7.83144i | −0.145409 | − | 0.326594i | ||||
\(576\) | 0.662536 | + | 21.7570i | 0.0276057 | + | 0.906541i | ||||
\(577\) | 7.02413 | + | 2.28228i | 0.292418 | + | 0.0950125i | 0.451553 | − | 0.892244i | \(-0.350870\pi\) |
−0.159134 | + | 0.987257i | \(0.550870\pi\) | |||||||
\(578\) | −4.65995 | − | 21.9233i | −0.193828 | − | 0.911891i | ||||
\(579\) | −27.0314 | + | 18.1453i | −1.12339 | + | 0.754091i | ||||
\(580\) | 0.516553 | + | 0.375298i | 0.0214487 | + | 0.0155834i | ||||
\(581\) | 15.1623 | + | 13.6522i | 0.629038 | + | 0.566389i | ||||
\(582\) | 7.17899 | + | 13.5747i | 0.297579 | + | 0.562690i | ||||
\(583\) | −24.9114 | + | 24.9659i | −1.03173 | + | 1.03398i | ||||
\(584\) | − | 8.11574i | − | 0.335832i | ||||||
\(585\) | −19.9541 | − | 5.62611i | −0.824999 | − | 0.232611i | ||||
\(586\) | 24.5828 | + | 17.8605i | 1.01551 | + | 0.737809i | ||||
\(587\) | 3.03825 | + | 28.9070i | 0.125402 | + | 1.19312i | 0.858433 | + | 0.512925i | \(0.171438\pi\) |
−0.733032 | + | 0.680195i | \(0.761895\pi\) | |||||||
\(588\) | −3.20797 | + | 0.558271i | −0.132294 | + | 0.0230227i | ||||
\(589\) | 11.3896 | + | 53.5837i | 0.469299 | + | 2.20788i | ||||
\(590\) | 4.44556 | + | 6.11879i | 0.183021 | + | 0.251906i | ||||
\(591\) | 9.56527 | − | 12.1868i | 0.393463 | − | 0.501299i | ||||
\(592\) | 19.7809 | + | 17.8108i | 0.812988 | + | 0.732018i | ||||
\(593\) | − | 3.58343i | − | 0.147154i | −0.997290 | − | 0.0735769i | \(-0.976559\pi\) | ||
0.997290 | − | 0.0735769i | \(-0.0234414\pi\) | |||||||
\(594\) | 25.0005 | + | 4.10344i | 1.02578 | + | 0.168366i | ||||
\(595\) | 5.48326 | − | 9.49729i | 0.224792 | − | 0.389351i | ||||
\(596\) | 0.173553 | − | 0.816502i | 0.00710901 | − | 0.0334452i | ||||
\(597\) | −12.4459 | + | 4.99617i | −0.509376 | + | 0.204480i | ||||
\(598\) | −31.4195 | − | 13.6552i | −1.28484 | − | 0.558402i | ||||
\(599\) | 17.6682 | + | 5.74076i | 0.721905 | + | 0.234561i | 0.646849 | − | 0.762618i | \(-0.276086\pi\) |
0.0750561 | + | 0.997179i | \(0.476086\pi\) | |||||||
\(600\) | 1.06474 | + | 6.11824i | 0.0434676 | + | 0.249776i | ||||
\(601\) | 18.7997 | − | 1.97592i | 0.766854 | − | 0.0805996i | 0.286980 | − | 0.957937i | \(-0.407349\pi\) |
0.479875 | + | 0.877337i | \(0.340682\pi\) | |||||||
\(602\) | −4.34395 | + | 41.3300i | −0.177046 | + | 1.68448i | ||||
\(603\) | 12.7329 | + | 13.3036i | 0.518523 | + | 0.541766i | ||||
\(604\) | −1.37358 | − | 2.37911i | −0.0558902 | − | 0.0968047i | ||||
\(605\) | 12.4298 | + | 17.0298i | 0.505342 | + | 0.692358i | ||||
\(606\) | 3.38022 | + | 2.12270i | 0.137312 | + | 0.0862288i | ||||
\(607\) | 24.0933 | + | 21.6937i | 0.977918 | + | 0.880521i | 0.992850 | − | 0.119367i | \(-0.0380865\pi\) |
−0.0149321 | + | 0.999889i | \(0.504753\pi\) | |||||||
\(608\) | 2.62118 | + | 5.88727i | 0.106303 | + | 0.238760i | ||||
\(609\) | −13.8879 | − | 6.81199i | −0.562765 | − | 0.276036i | ||||
\(610\) | 4.45440 | − | 13.7092i | 0.180353 | − | 0.555071i | ||||
\(611\) | 3.09221 | − | 9.81311i | 0.125097 | − | 0.396996i | ||||
\(612\) | 0.563973 | + | 0.303107i | 0.0227973 | + | 0.0122524i | ||||
\(613\) | 6.31434 | − | 2.81132i | 0.255034 | − | 0.113548i | −0.275238 | − | 0.961376i | \(-0.588757\pi\) |
0.530272 | + | 0.847828i | \(0.322090\pi\) | |||||||
\(614\) | 1.59750 | − | 7.51564i | 0.0644698 | − | 0.303307i | ||||
\(615\) | 0.823092 | − | 22.1524i | 0.0331903 | − | 0.893272i | ||||
\(616\) | −21.0612 | + | 32.5091i | −0.848580 | + | 1.30983i | ||||
\(617\) | −1.74631 | − | 3.02469i | −0.0703037 | − | 0.121770i | 0.828731 | − | 0.559648i | \(-0.189063\pi\) |
−0.899034 | + | 0.437878i | \(0.855730\pi\) | |||||||
\(618\) | 19.0360 | − | 5.41253i | 0.765740 | − | 0.217724i | ||||
\(619\) | 16.8747 | − | 23.2260i | 0.678252 | − | 0.933534i | −0.321659 | − | 0.946855i | \(-0.604241\pi\) |
0.999911 | + | 0.0133218i | \(0.00424060\pi\) | |||||||
\(620\) | 0.971249 | − | 2.18146i | 0.0390063 | − | 0.0876096i | ||||
\(621\) | 27.3019 | − | 19.5580i | 1.09559 | − | 0.784835i | ||||
\(622\) | −0.815249 | − | 0.905425i | −0.0326885 | − | 0.0363043i | ||||
\(623\) | 28.1847 | − | 20.4774i | 1.12920 | − | 0.820410i | ||||
\(624\) | 21.2525 | + | 16.3773i | 0.850779 | + | 0.655616i | ||||
\(625\) | −5.13249 | − | 15.7962i | −0.205300 | − | 0.631847i | ||||
\(626\) | −30.6441 | − | 17.6924i | −1.22478 | − | 0.707129i | ||||
\(627\) | −39.6730 | + | 9.11161i | −1.58439 | + | 0.363883i | ||||
\(628\) | −0.502621 | − | 0.870565i | −0.0200568 | − | 0.0347393i | ||||
\(629\) | −7.80330 | + | 2.53545i | −0.311138 | + | 0.101095i | ||||
\(630\) | −12.3374 | − | 34.3733i | −0.491532 | − | 1.36946i | ||||
\(631\) | 3.31101 | − | 7.43665i | 0.131809 | − | 0.296048i | −0.835569 | − | 0.549386i | \(-0.814862\pi\) |
0.967378 | + | 0.253338i | \(0.0815284\pi\) | |||||||
\(632\) | 5.85551 | − | 18.0214i | 0.232920 | − | 0.716853i | ||||
\(633\) | −37.8186 | − | 13.8605i | −1.50316 | − | 0.550907i | ||||
\(634\) | 35.6067 | − | 3.74242i | 1.41412 | − | 0.148630i | ||||
\(635\) | −5.15348 | − | 11.5749i | −0.204510 | − | 0.459336i | ||||
\(636\) | −0.724499 | + | 2.87842i | −0.0287283 | + | 0.114137i | ||||
\(637\) | 20.7055 | − | 36.6116i | 0.820383 | − | 1.45060i | ||||
\(638\) | 9.40538 | − | 3.62218i | 0.372363 | − | 0.143404i | ||||
\(639\) | −7.93399 | − | 0.590403i | −0.313864 | − | 0.0233560i | ||||
\(640\) | −4.97543 | + | 23.4076i | −0.196671 | + | 0.925265i | ||||
\(641\) | −3.20929 | − | 0.337310i | −0.126759 | − | 0.0133229i | 0.0409364 | − | 0.999162i | \(-0.486966\pi\) |
−0.167696 | + | 0.985839i | \(0.553633\pi\) | |||||||
\(642\) | −49.9147 | + | 3.37843i | −1.96998 | + | 0.133336i | ||||
\(643\) | −1.51820 | − | 7.14257i | −0.0598719 | − | 0.281675i | 0.938019 | − | 0.346583i | \(-0.112658\pi\) |
−0.997891 | + | 0.0649076i | \(0.979325\pi\) | |||||||
\(644\) | −0.935611 | − | 4.40170i | −0.0368682 | − | 0.173451i | ||||
\(645\) | −21.6722 | + | 1.46687i | −0.853344 | + | 0.0577578i | ||||
\(646\) | −13.7201 | − | 1.44204i | −0.539809 | − | 0.0567362i | ||||
\(647\) | −10.3985 | + | 48.9211i | −0.408808 | + | 1.92329i | −0.0254811 | + | 0.999675i | \(0.508112\pi\) |
−0.383326 | + | 0.923613i | \(0.625222\pi\) | |||||||
\(648\) | −22.6383 | + | 8.91217i | −0.889315 | + | 0.350103i | ||||
\(649\) | 8.88979 | − | 0.475631i | 0.348955 | − | 0.0186702i | ||||
\(650\) | 6.11942 | + | 3.46081i | 0.240023 | + | 0.135744i | ||||
\(651\) | −14.1206 | + | 56.1010i | −0.553432 | + | 2.19877i | ||||
\(652\) | 1.10889 | + | 2.49060i | 0.0434273 | + | 0.0975394i | ||||
\(653\) | −21.8152 | + | 2.29287i | −0.853697 | + | 0.0897271i | −0.521259 | − | 0.853398i | \(-0.674538\pi\) |
−0.332437 | + | 0.943125i | \(0.607871\pi\) | |||||||
\(654\) | 1.67925 | + | 0.615445i | 0.0656638 | + | 0.0240658i | ||||
\(655\) | 8.42099 | − | 25.9171i | 0.329035 | − | 1.01267i | ||||
\(656\) | −11.6687 | + | 26.2083i | −0.455586 | + | 1.02326i | ||||
\(657\) | 8.47711 | − | 3.04263i | 0.330724 | − | 0.118704i | ||||
\(658\) | 17.2370 | − | 5.60065i | 0.671969 | − | 0.218336i | ||||
\(659\) | −6.01377 | − | 10.4162i | −0.234263 | − | 0.405756i | 0.724795 | − | 0.688964i | \(-0.241934\pi\) |
−0.959058 | + | 0.283209i | \(0.908601\pi\) | |||||||
\(660\) | 1.63253 | + | 0.695167i | 0.0635463 | + | 0.0270593i | ||||
\(661\) | 5.65950 | + | 3.26751i | 0.220129 | + | 0.127092i | 0.606010 | − | 0.795457i | \(-0.292769\pi\) |
−0.385881 | + | 0.922549i | \(0.626102\pi\) | |||||||
\(662\) | −6.23717 | − | 19.1960i | −0.242415 | − | 0.746075i | ||||
\(663\) | −7.64744 | + | 3.14923i | −0.297002 | + | 0.122306i | ||||
\(664\) | 10.3280 | − | 7.50374i | 0.400804 | − | 0.291201i | ||||
\(665\) | 39.2628 | + | 43.6058i | 1.52255 | + | 1.69096i | ||||
\(666\) | −10.3486 | + | 25.2880i | −0.401000 | + | 0.979891i | ||||
\(667\) | 5.43421 | − | 12.2054i | 0.210413 | − | 0.472596i | ||||
\(668\) | −1.08120 | + | 1.48814i | −0.0418327 | + | 0.0575778i | ||||
\(669\) | −14.3997 | + | 4.09429i | −0.556725 | + | 0.158294i | ||||
\(670\) | 8.64795 | + | 14.9787i | 0.334099 | + | 0.578677i | ||||
\(671\) | −10.6922 | − | 13.1744i | −0.412769 | − | 0.508590i | ||||
\(672\) | −0.252693 | + | 6.80089i | −0.00974784 | + | 0.262350i | ||||
\(673\) | 5.82396 | − | 27.3996i | 0.224497 | − | 1.05618i | −0.711096 | − | 0.703095i | \(-0.751801\pi\) |
0.935593 | − | 0.353081i | \(-0.114866\pi\) | |||||||
\(674\) | 21.6523 | − | 9.64023i | 0.834016 | − | 0.371328i | ||||
\(675\) | −5.99150 | + | 3.40590i | −0.230613 | + | 0.131093i | ||||
\(676\) | 2.04114 | − | 0.471972i | 0.0785054 | − | 0.0181528i | ||||
\(677\) | −2.98613 | + | 9.19037i | −0.114766 | + | 0.353215i | −0.991898 | − | 0.127035i | \(-0.959454\pi\) |
0.877132 | + | 0.480250i | \(0.159454\pi\) | |||||||
\(678\) | 18.0890 | + | 8.87261i | 0.694702 | + | 0.340751i | ||||
\(679\) | −10.5977 | − | 23.8029i | −0.406704 | − | 0.913472i | ||||
\(680\) | −5.09929 | − | 4.59142i | −0.195549 | − | 0.176073i | ||||
\(681\) | 13.7167 | + | 8.61380i | 0.525627 | + | 0.330082i | ||||
\(682\) | −20.5639 | − | 31.5900i | −0.787432 | − | 1.20964i | ||||
\(683\) | −13.5948 | − | 23.5469i | −0.520191 | − | 0.900998i | −0.999724 | − | 0.0234741i | \(-0.992527\pi\) |
0.479533 | − | 0.877524i | \(-0.340806\pi\) | |||||||
\(684\) | −2.47491 | + | 2.36873i | −0.0946306 | + | 0.0905708i | ||||
\(685\) | −3.28309 | + | 31.2366i | −0.125441 | + | 1.19349i | ||||
\(686\) | 29.4705 | − | 3.09747i | 1.12519 | − | 0.118262i | ||||
\(687\) | 6.71232 | + | 38.5707i | 0.256091 | + | 1.47157i | ||||
\(688\) | 26.7357 | + | 8.68695i | 1.01929 | + | 0.331187i | ||||
\(689\) | −22.8114 | − | 30.8168i | −0.869045 | − | 1.17403i | ||||
\(690\) | 29.2728 | − | 11.7510i | 1.11440 | − | 0.447354i | ||||
\(691\) | −5.12748 | + | 24.1229i | −0.195059 | + | 0.917678i | 0.766322 | + | 0.642456i | \(0.222085\pi\) |
−0.961381 | + | 0.275222i | \(0.911249\pi\) | |||||||
\(692\) | −0.706813 | + | 1.22424i | −0.0268690 | + | 0.0465385i | ||||
\(693\) | −41.8526 | − | 9.81119i | −1.58985 | − | 0.372696i | ||||
\(694\) | 6.08327i | 0.230918i | ||||||||
\(695\) | −8.87383 | − | 7.99003i | −0.336604 | − | 0.303079i | ||||
\(696\) | −5.97581 | + | 7.61360i | −0.226513 | + | 0.288593i | ||||
\(697\) | −5.19790 | − | 7.15430i | −0.196885 | − | 0.270988i | ||||
\(698\) | −5.57508 | − | 26.2287i | −0.211020 | − | 0.992771i | ||||
\(699\) | 25.6957 | − | 4.47174i | 0.971902 | − | 0.169137i | ||||
\(700\) | 0.0965278 | + | 0.918401i | 0.00364841 | + | 0.0347123i | ||||
\(701\) | 7.04001 | + | 5.11486i | 0.265897 | + | 0.193186i | 0.712743 | − | 0.701425i | \(-0.247453\pi\) |
−0.446845 | + | 0.894611i | \(0.647453\pi\) | |||||||
\(702\) | −8.45327 | + | 26.2127i | −0.319048 | + | 0.989336i | ||||
\(703\) | − | 43.9009i | − | 1.65575i | ||||||
\(704\) | 17.0347 | + | 16.9975i | 0.642018 | + | 0.640617i | ||||
\(705\) | 4.42877 | + | 8.37434i | 0.166797 | + | 0.315396i | ||||
\(706\) | −24.2992 | − | 21.8791i | −0.914512 | − | 0.823430i | ||||
\(707\) | −5.47907 | − | 3.98078i | −0.206062 | − | 0.149713i | ||||
\(708\) | 0.622076 | − | 0.417578i | 0.0233790 | − | 0.0156935i | ||||
\(709\) | −0.260899 | − | 1.22743i | −0.00979826 | − | 0.0460972i | 0.972977 | − | 0.230903i | \(-0.0741679\pi\) |
−0.982775 | + | 0.184805i | \(0.940835\pi\) | |||||||
\(710\) | −7.10669 | − | 2.30910i | −0.266709 | − | 0.0866592i | ||||
\(711\) | 21.0191 | − | 0.640066i | 0.788278 | − | 0.0240044i | ||||
\(712\) | −8.86618 | − | 19.9138i | −0.332274 | − | 0.746300i | ||||
\(713\) | −48.8751 | − | 10.3887i | −1.83039 | − | 0.389060i | ||||
\(714\) | −12.3378 | − | 7.74784i | −0.461729 | − | 0.289956i | ||||
\(715\) | −20.3170 | + | 10.6090i | −0.759813 | + | 0.396755i | ||||
\(716\) | 1.04700i | 0.0391281i | ||||||||
\(717\) | 20.4227 | + | 19.8102i | 0.762699 | + | 0.739827i | ||||
\(718\) | −12.4869 | + | 5.55951i | −0.466006 | + | 0.207479i | ||||
\(719\) | 18.8376 | − | 42.3099i | 0.702523 | − | 1.57789i | −0.109313 | − | 0.994007i | \(-0.534865\pi\) |
0.811836 | − | 0.583885i | \(-0.198468\pi\) | |||||||
\(720\) | −24.4788 | + | 3.32890i | −0.912270 | + | 0.124061i | ||||
\(721\) | −32.8458 | + | 6.98158i | −1.22324 | + | 0.260008i | ||||
\(722\) | 18.6623 | − | 41.9163i | 0.694541 | − | 1.55996i | ||||
\(723\) | −38.5226 | + | 15.4642i | −1.43267 | + | 0.575121i | ||||
\(724\) | 1.07011 | − | 1.18848i | 0.0397703 | − | 0.0441694i | ||||
\(725\) | −1.37086 | + | 2.37441i | −0.0509126 | + | 0.0881833i | ||||
\(726\) | 23.2212 | − | 15.6613i | 0.861819 | − | 0.581244i | ||||
\(727\) | 8.11334 | 0.300907 | 0.150454 | − | 0.988617i | \(-0.451927\pi\) | ||||
0.150454 | + | 0.988617i | \(0.451927\pi\) | |||||||
\(728\) | −31.5430 | − | 27.8973i | −1.16906 | − | 1.03394i | ||||
\(729\) | −17.7962 | − | 20.3051i | −0.659118 | − | 0.752040i | ||||
\(730\) | 8.41291 | − | 0.884232i | 0.311376 | − | 0.0327269i | ||||
\(731\) | −6.43960 | + | 5.79824i | −0.238177 | + | 0.214456i | ||||
\(732\) | −1.34075 | − | 0.491385i | −0.0495555 | − | 0.0181621i | ||||
\(733\) | −6.91157 | + | 5.02155i | −0.255285 | + | 0.185475i | −0.708066 | − | 0.706147i | \(-0.750432\pi\) |
0.452781 | + | 0.891622i | \(0.350432\pi\) | |||||||
\(734\) | 17.0756 | + | 1.79471i | 0.630271 | + | 0.0662441i | ||||
\(735\) | 10.5916 | + | 37.2508i | 0.390676 | + | 1.37402i | ||||
\(736\) | −5.87813 | −0.216671 | ||||||||
\(737\) | 20.3318 | + | 1.04328i | 0.748933 | + | 0.0384297i | ||||
\(738\) | −29.3681 | − | 2.18541i | −1.08105 | − | 0.0804460i | ||||
\(739\) | 49.3692 | + | 10.4938i | 1.81608 | + | 0.386019i | 0.985334 | − | 0.170637i | \(-0.0545825\pi\) |
0.830743 | + | 0.556656i | \(0.187916\pi\) | |||||||
\(740\) | −1.12482 | + | 1.54818i | −0.0413491 | + | 0.0569121i | ||||
\(741\) | −3.38106 | − | 44.1226i | −0.124206 | − | 1.62088i | ||||
\(742\) | 20.8708 | − | 64.2336i | 0.766190 | − | 2.35809i | ||||
\(743\) | −0.287451 | + | 0.258822i | −0.0105456 | + | 0.00949527i | −0.674387 | − | 0.738378i | \(-0.735592\pi\) |
0.663841 | + | 0.747874i | \(0.268925\pi\) | |||||||
\(744\) | 32.4985 | + | 15.9405i | 1.19145 | + | 0.584405i | ||||
\(745\) | −9.87362 | − | 1.03776i | −0.361741 | − | 0.0380206i | ||||
\(746\) | 11.9458 | + | 36.7654i | 0.437367 | + | 1.34608i | ||||
\(747\) | 11.7099 | + | 7.97470i | 0.428442 | + | 0.291779i | ||||
\(748\) | 0.683521 | − | 0.183949i | 0.0249920 | − | 0.00672585i | ||||
\(749\) | 84.8865 | 3.10168 | ||||||||
\(750\) | −29.6978 | + | 8.44401i | −1.08441 | + | 0.308331i | ||||
\(751\) | −26.1158 | + | 11.6275i | −0.952979 | + | 0.424294i | −0.823518 | − | 0.567291i | \(-0.807992\pi\) |
−0.129462 | + | 0.991584i | \(0.541325\pi\) | |||||||
\(752\) | −1.28152 | − | 12.1928i | −0.0467322 | − | 0.444627i | ||||
\(753\) | −2.16410 | + | 1.80768i | −0.0788644 | + | 0.0658756i | ||||
\(754\) | 2.37331 | + | 10.6966i | 0.0864310 | + | 0.389549i | ||||
\(755\) | −26.4333 | + | 19.2049i | −0.962005 | + | 0.698937i | ||||
\(756\) | −3.44813 | + | 1.09489i | −0.125407 | + | 0.0398209i | ||||
\(757\) | −21.6353 | − | 4.59872i | −0.786348 | − | 0.167143i | −0.202798 | − | 0.979221i | \(-0.565003\pi\) |
−0.583550 | + | 0.812077i | \(0.698337\pi\) | |||||||
\(758\) | −0.664823 | − | 1.15151i | −0.0241475 | − | 0.0418246i | ||||
\(759\) | 7.12607 | − | 36.4386i | 0.258660 | − | 1.32264i | ||||
\(760\) | 31.7957 | − | 18.3572i | 1.15335 | − | 0.665887i | ||||
\(761\) | 6.15500 | + | 5.54198i | 0.223118 | + | 0.200897i | 0.773107 | − | 0.634275i | \(-0.218701\pi\) |
−0.549989 | + | 0.835172i | \(0.685368\pi\) | |||||||
\(762\) | −15.6206 | + | 6.27061i | −0.565875 | + | 0.227160i | ||||
\(763\) | −2.77224 | − | 1.23428i | −0.100362 | − | 0.0446840i | ||||
\(764\) | 0.782987 | − | 0.705005i | 0.0283275 | − | 0.0255062i | ||||
\(765\) | 2.88412 | − | 7.04769i | 0.104275 | − | 0.254810i | ||||
\(766\) | −10.9144 | − | 15.0224i | −0.394354 | − | 0.542781i | ||||
\(767\) | −0.925946 | + | 9.63364i | −0.0334340 | + | 0.347851i | ||||
\(768\) | 6.45536 | + | 1.62482i | 0.232938 | + | 0.0586305i | ||||
\(769\) | −27.5530 | + | 47.7231i | −0.993585 | + | 1.72094i | −0.398854 | + | 0.917014i | \(0.630592\pi\) |
−0.594731 | + | 0.803925i | \(0.702741\pi\) | |||||||
\(770\) | −35.9941 | − | 18.2904i | −1.29714 | − | 0.659142i | ||||
\(771\) | −1.72034 | + | 46.3007i | −0.0619566 | + | 1.66748i | ||||
\(772\) | 0.936061 | + | 2.88090i | 0.0336896 | + | 0.103686i | ||||
\(773\) | −4.66762 | + | 44.4094i | −0.167883 | + | 1.59730i | 0.508710 | + | 0.860938i | \(0.330123\pi\) |
−0.676592 | + | 0.736358i | \(0.736544\pi\) | |||||||
\(774\) | 0.878335 | + | 28.8436i | 0.0315711 | + | 1.03676i | ||||
\(775\) | 9.75193 | + | 3.16860i | 0.350300 | + | 0.113819i | ||||
\(776\) | −15.9467 | + | 3.38958i | −0.572454 | + | 0.121679i | ||||
\(777\) | 20.4164 | − | 41.6238i | 0.732434 | − | 1.49324i | ||||
\(778\) | −32.4218 | + | 14.4351i | −1.16238 | + | 0.517524i | ||||
\(779\) | 45.0005 | − | 14.6215i | 1.61231 | − | 0.523871i | ||||
\(780\) | −1.01126 | + | 1.64262i | −0.0362090 | + | 0.0588153i | ||||
\(781\) | −6.82942 | + | 5.54272i | −0.244376 | + | 0.198334i | ||||
\(782\) | 6.29168 | − | 10.8975i | 0.224990 | − | 0.389694i | ||||
\(783\) | −10.1930 | − | 3.38752i | −0.364267 | − | 0.121060i | ||||
\(784\) | 5.23891 | − | 49.8449i | 0.187104 | − | 1.78017i | ||||
\(785\) | −9.67246 | + | 7.02746i | −0.345225 | + | 0.250821i | ||||
\(786\) | −33.9912 | − | 12.4578i | −1.21243 | − | 0.444355i | ||||
\(787\) | −38.1881 | + | 8.11712i | −1.36126 | + | 0.289344i | −0.829951 | − | 0.557836i | \(-0.811632\pi\) |
−0.531306 | + | 0.847180i | \(0.678298\pi\) | |||||||
\(788\) | −0.847258 | − | 1.16615i | −0.0301823 | − | 0.0415424i | ||||
\(789\) | −4.82876 | − | 3.79003i | −0.171908 | − | 0.134929i | ||||
\(790\) | 19.3193 | + | 4.10644i | 0.687349 | + | 0.146100i | ||||
\(791\) | −29.6057 | − | 17.0929i | −1.05266 | − | 0.607753i | ||||
\(792\) | −11.4494 | + | 24.3386i | −0.406835 | + | 0.864835i | ||||
\(793\) | 15.8914 | − | 9.36445i | 0.564322 | − | 0.332541i | ||||
\(794\) | −13.6296 | − | 41.9477i | −0.483697 | − | 1.48867i | ||||
\(795\) | 34.9476 | + | 4.99114i | 1.23946 | + | 0.177017i | ||||
\(796\) | 0.130432 | + | 1.24097i | 0.00462303 | + | 0.0439852i | ||||
\(797\) | −5.68495 | − | 26.7456i | −0.201371 | − | 0.947378i | −0.956485 | − | 0.291783i | \(-0.905751\pi\) |
0.755113 | − | 0.655594i | \(-0.227582\pi\) | |||||||
\(798\) | 59.8261 | − | 49.9729i | 2.11782 | − | 1.76902i | ||||
\(799\) | 3.45240 | + | 1.53711i | 0.122137 | + | 0.0543789i | ||||
\(800\) | 1.19965 | + | 0.126088i | 0.0424140 | + | 0.00445790i | ||||
\(801\) | 17.4765 | − | 16.7267i | 0.617502 | − | 0.591010i | ||||
\(802\) | −32.8656 | + | 18.9750i | −1.16052 | + | 0.670029i | ||||
\(803\) | 4.51077 | − | 8.87684i | 0.159182 | − | 0.313257i | ||||
\(804\) | 1.51461 | − | 0.801001i | 0.0534162 | − | 0.0282491i | ||||
\(805\) | −50.9016 | + | 16.5389i | −1.79405 | + | 0.582921i | ||||
\(806\) | 37.2848 | − | 16.9994i | 1.31330 | − | 0.598777i | ||||
\(807\) | 22.6982 | − | 1.53631i | 0.799014 | − | 0.0540805i | ||||
\(808\) | −3.14912 | + | 2.83548i | −0.110786 | + | 0.0997520i | ||||
\(809\) | 18.7993 | + | 20.8787i | 0.660948 | + | 0.734058i | 0.976658 | − | 0.214798i | \(-0.0689094\pi\) |
−0.315710 | + | 0.948856i | \(0.602243\pi\) | |||||||
\(810\) | −11.7050 | − | 22.4962i | −0.411272 | − | 0.790436i | ||||
\(811\) | −4.26553 | − | 3.09909i | −0.149783 | − | 0.108824i | 0.510370 | − | 0.859955i | \(-0.329509\pi\) |
−0.660153 | + | 0.751131i | \(0.729509\pi\) | |||||||
\(812\) | −0.963031 | + | 1.06955i | −0.0337958 | + | 0.0375340i | ||||
\(813\) | −11.5901 | − | 0.430639i | −0.406482 | − | 0.0151032i | ||||
\(814\) | 10.8561 | + | 28.1891i | 0.380508 | + | 0.988029i | ||||
\(815\) | 28.0810 | − | 16.2126i | 0.983636 | − | 0.567903i | ||||
\(816\) | −6.86168 | + | 7.07381i | −0.240207 | + | 0.247633i | ||||
\(817\) | −18.8582 | − | 42.3562i | −0.659765 | − | 1.48186i | ||||
\(818\) | 19.9976 | + | 27.5243i | 0.699200 | + | 0.962366i | ||||
\(819\) | 17.3138 | − | 43.4063i | 0.604994 | − | 1.51674i | ||||
\(820\) | −1.96158 | − | 0.637357i | −0.0685014 | − | 0.0222575i | ||||
\(821\) | −33.6312 | + | 3.53479i | −1.17374 | + | 0.123365i | −0.671258 | − | 0.741224i | \(-0.734246\pi\) |
−0.502480 | + | 0.864589i | \(0.667579\pi\) | |||||||
\(822\) | 41.3065 | + | 5.89931i | 1.44073 | + | 0.205762i | ||||
\(823\) | −0.0432293 | + | 0.0480110i | −0.00150688 | + | 0.00167356i | −0.743898 | − | 0.668293i | \(-0.767025\pi\) |
0.742391 | + | 0.669967i | \(0.233692\pi\) | |||||||
\(824\) | 21.0108i | 0.731945i | ||||||||
\(825\) | −2.23596 | + | 7.28380i | −0.0778463 | + | 0.253589i | ||||
\(826\) | −14.7642 | + | 8.52412i | −0.513713 | + | 0.296592i | ||||
\(827\) | 43.6779 | − | 14.1918i | 1.51883 | − | 0.493498i | 0.573387 | − | 0.819284i | \(-0.305629\pi\) |
0.945443 | + | 0.325786i | \(0.105629\pi\) | |||||||
\(828\) | −1.05561 | − | 2.94106i | −0.0366850 | − | 0.102209i | ||||
\(829\) | −0.132046 | − | 1.25633i | −0.00458614 | − | 0.0436342i | 0.991989 | − | 0.126320i | \(-0.0403167\pi\) |
−0.996576 | + | 0.0826862i | \(0.973650\pi\) | |||||||
\(830\) | 8.90376 | + | 9.88863i | 0.309054 | + | 0.343239i | ||||
\(831\) | 3.32360 | − | 2.77622i | 0.115295 | − | 0.0963059i | ||||
\(832\) | −21.0268 | + | 15.5646i | −0.728974 | + | 0.539606i | ||||
\(833\) | 12.4987 | + | 9.08082i | 0.433054 | + | 0.314632i | ||||
\(834\) | −11.0450 | + | 11.3864i | −0.382456 | + | 0.394280i | ||||
\(835\) | 18.9463 | + | 10.9387i | 0.655665 | + | 0.378548i | ||||
\(836\) | −0.194084 | + | 3.78239i | −0.00671254 | + | 0.130817i | ||||
\(837\) | −4.46642 | + | 39.9217i | −0.154382 | + | 1.37989i | ||||
\(838\) | −13.7183 | + | 15.2358i | −0.473892 | + | 0.526310i | ||||
\(839\) | 2.66570 | − | 25.3624i | 0.0920301 | − | 0.875608i | −0.846958 | − | 0.531659i | \(-0.821569\pi\) |
0.938988 | − | 0.343949i | \(-0.111765\pi\) | |||||||
\(840\) | 38.6836 | − | 2.61826i | 1.33471 | − | 0.0903386i | ||||
\(841\) | 24.1866 | − | 5.14103i | 0.834022 | − | 0.177277i | ||||
\(842\) | −5.78059 | − | 6.42000i | −0.199212 | − | 0.221248i | ||||
\(843\) | −8.39153 | + | 17.1082i | −0.289020 | + | 0.589236i | ||||
\(844\) | −2.20279 | + | 3.03188i | −0.0758230 | + | 0.104361i | ||||
\(845\) | −8.12021 | − | 23.5565i | −0.279344 | − | 0.810369i | ||||
\(846\) | 11.3359 | − | 5.46638i | 0.389737 | − | 0.187938i | ||||
\(847\) | −41.1051 | + | 23.8519i | −1.41239 | + | 0.819561i | ||||
\(848\) | −39.5659 | − | 22.8434i | −1.35870 | − | 0.784445i | ||||
\(849\) | 36.6487 | − | 10.4204i | 1.25778 | − | 0.357626i | ||||
\(850\) | −1.51781 | + | 2.08908i | −0.0520604 | + | 0.0716550i | ||||
\(851\) | 36.5813 | + | 16.2870i | 1.25399 | + | 0.558312i | ||||
\(852\) | −0.254728 | + | 0.695027i | −0.00872683 | + | 0.0238112i | ||||
\(853\) | 5.01756 | − | 15.4425i | 0.171798 | − | 0.528739i | −0.827675 | − | 0.561208i | \(-0.810337\pi\) |
0.999473 | + | 0.0324684i | \(0.0103368\pi\) | |||||||
\(854\) | 29.6831 | + | 13.2158i | 1.01573 | + | 0.452234i | ||||
\(855\) | 31.0950 | + | 26.3292i | 1.06343 | + | 0.900441i | ||||
\(856\) | 11.0429 | − | 51.9529i | 0.377440 | − | 1.77571i | ||||
\(857\) | 15.0638 | 0.514570 | 0.257285 | − | 0.966336i | \(-0.417172\pi\) | ||||
0.257285 | + | 0.966336i | \(0.417172\pi\) | |||||||
\(858\) | 13.0820 | + | 27.4954i | 0.446611 | + | 0.938678i | ||||
\(859\) | −19.2970 | −0.658405 | −0.329203 | − | 0.944259i | \(-0.606780\pi\) | ||||
−0.329203 | + | 0.944259i | \(0.606780\pi\) | |||||||
\(860\) | −0.420199 | + | 1.97688i | −0.0143287 | + | 0.0674111i | ||||
\(861\) | 49.4661 | + | 7.06465i | 1.68580 | + | 0.240763i | ||||
\(862\) | 21.3910 | + | 9.52389i | 0.728580 | + | 0.324385i | ||||
\(863\) | 5.46151 | − | 16.8088i | 0.185912 | − | 0.572179i | −0.814051 | − | 0.580794i | \(-0.802742\pi\) |
0.999963 | + | 0.00861509i | \(0.00274230\pi\) | |||||||
\(864\) | 0.462486 | + | 4.70301i | 0.0157341 | + | 0.160000i | ||||
\(865\) | 15.3594 | + | 6.83844i | 0.522235 | + | 0.232514i | ||||
\(866\) | 4.42549 | − | 6.09116i | 0.150384 | − | 0.206986i | ||||
\(867\) | 7.22210 | + | 25.4003i | 0.245275 | + | 0.862639i | ||||
\(868\) | 4.66144 | + | 2.69128i | 0.158220 | + | 0.0913481i | ||||
\(869\) | 16.4210 | − | 16.4570i | 0.557046 | − | 0.558264i | ||||
\(870\) | −8.54346 | − | 5.36510i | −0.289650 | − | 0.181894i | ||||
\(871\) | −4.40871 | + | 21.6886i | −0.149384 | + | 0.734889i | ||||
\(872\) | −1.11606 | + | 1.53612i | −0.0377945 | + | 0.0520197i | ||||
\(873\) | −9.51900 | − | 15.3860i | −0.322169 | − | 0.520737i | ||||
\(874\) | 45.0515 | + | 50.0347i | 1.52389 | + | 1.69245i | ||||
\(875\) | 51.2422 | − | 10.8919i | 1.73230 | − | 0.368212i | ||||
\(876\) | −0.0565894 | − | 0.836081i | −0.00191198 | − | 0.0282486i | ||||
\(877\) | −3.12765 | + | 29.7576i | −0.105613 | + | 1.00484i | 0.805474 | + | 0.592631i | \(0.201911\pi\) |
−0.911088 | + | 0.412213i | \(0.864756\pi\) | |||||||
\(878\) | −16.3739 | + | 18.1851i | −0.552593 | + | 0.613716i | ||||
\(879\) | −30.3183 | − | 19.0392i | −1.02261 | − | 0.642177i | ||||
\(880\) | −17.1644 | + | 21.2437i | −0.578613 | + | 0.716125i | ||||
\(881\) | −0.690130 | − | 0.398447i | −0.0232511 | − | 0.0134240i | 0.488329 | − | 0.872659i | \(-0.337606\pi\) |
−0.511580 | + | 0.859235i | \(0.670940\pi\) | |||||||
\(882\) | 49.9752 | − | 12.2235i | 1.68275 | − | 0.411587i | ||||
\(883\) | 35.6097 | + | 25.8719i | 1.19836 | + | 0.870660i | 0.994122 | − | 0.108261i | \(-0.0345283\pi\) |
0.204238 | + | 0.978921i | \(0.434528\pi\) | |||||||
\(884\) | 0.0872414 | + | 0.764542i | 0.00293425 | + | 0.0257143i | ||||
\(885\) | −5.71262 | − | 6.83898i | −0.192028 | − | 0.229890i | ||||
\(886\) | 1.68591 | + | 1.87239i | 0.0566392 | + | 0.0629042i | ||||
\(887\) | 2.65929 | + | 25.3014i | 0.0892901 | + | 0.849539i | 0.943892 | + | 0.330255i | \(0.107135\pi\) |
−0.854602 | + | 0.519284i | \(0.826199\pi\) | |||||||
\(888\) | −22.8189 | − | 17.9103i | −0.765753 | − | 0.601029i | ||||
\(889\) | 27.1622 | − | 8.82555i | 0.910993 | − | 0.295999i | ||||
\(890\) | 19.6769 | − | 11.3605i | 0.659573 | − | 0.380804i | ||||
\(891\) | −29.7147 | − | 2.83451i | −0.995481 | − | 0.0949596i | ||||
\(892\) | 1.39288i | 0.0466372i | ||||||||
\(893\) | −13.5302 | + | 15.0268i | −0.452770 | + | 0.502852i | ||||
\(894\) | −1.86472 | + | 13.0566i | −0.0623656 | + | 0.436680i | ||||
\(895\) | 12.3842 | − | 1.30163i | 0.413959 | − | 0.0435088i | ||||
\(896\) | −51.3015 | − | 16.6689i | −1.71386 | − | 0.556868i | ||||
\(897\) | 38.0203 | + | 13.5519i | 1.26946 | + | 0.452486i | ||||
\(898\) | −18.2595 | − | 25.1321i | −0.609329 | − | 0.838669i | ||||
\(899\) | 6.49994 | + | 14.5991i | 0.216785 | + | 0.486907i | ||||
\(900\) | 0.152350 | + | 0.622875i | 0.00507833 | + | 0.0207625i | ||||
\(901\) | 12.1961 | − | 7.04143i | 0.406311 | − | 0.234584i | ||||
\(902\) | −25.2795 | + | 20.5167i | −0.841714 | + | 0.683130i | ||||
\(903\) | 1.81801 | − | 48.9293i | 0.0604995 | − | 1.62826i | ||||
\(904\) | −14.3128 | + | 15.8959i | −0.476035 | + | 0.528691i | ||||
\(905\) | −15.3881 | − | 11.1801i | −0.511516 | − | 0.371638i | ||||
\(906\) | 24.1918 | + | 36.0391i | 0.803719 | + | 1.19732i | ||||
\(907\) | 7.09078 | + | 7.87511i | 0.235446 | + | 0.261489i | 0.849276 | − | 0.527949i | \(-0.177039\pi\) |
−0.613830 | + | 0.789438i | \(0.710372\pi\) | |||||||
\(908\) | 1.11993 | − | 1.00839i | 0.0371662 | − | 0.0334646i | ||||
\(909\) | −4.14236 | − | 2.22631i | −0.137393 | − | 0.0738420i | ||||
\(910\) | 25.4821 | − | 35.7375i | 0.844722 | − | 1.18469i | ||||
\(911\) | 10.7099 | − | 3.47987i | 0.354836 | − | 0.115293i | −0.126174 | − | 0.992008i | \(-0.540270\pi\) |
0.481011 | + | 0.876715i | \(0.340270\pi\) | |||||||
\(912\) | −24.6513 | − | 46.6131i | −0.816287 | − | 1.54351i | ||||
\(913\) | 15.4672 | − | 2.46708i | 0.511889 | − | 0.0816485i | ||||
\(914\) | −48.2321 | + | 27.8468i | −1.59538 | + | 0.921091i | ||||
\(915\) | −4.14543 | + | 16.4697i | −0.137044 | + | 0.544472i | ||||
\(916\) | 3.62269 | + | 0.380760i | 0.119697 | + | 0.0125807i | ||||
\(917\) | 56.1155 | + | 24.9842i | 1.85310 | + | 0.825052i | ||||
\(918\) | −9.21397 | − | 4.17648i | −0.304106 | − | 0.137844i | ||||
\(919\) | −8.31382 | − | 39.1134i | −0.274248 | − | 1.29023i | −0.872377 | − | 0.488834i | \(-0.837422\pi\) |
0.598129 | − | 0.801400i | \(-0.295911\pi\) | |||||||
\(920\) | 3.50048 | + | 33.3048i | 0.115407 | + | 1.09803i | ||||
\(921\) | −1.27990 | + | 8.96179i | −0.0421743 | + | 0.295301i | ||||
\(922\) | 9.41940 | + | 28.9899i | 0.310211 | + | 0.954732i | ||||
\(923\) | −4.85441 | − | 8.23792i | −0.159785 | − | 0.271154i | ||||
\(924\) | −1.94304 | + | 3.49593i | −0.0639213 | + | 0.115008i | ||||
\(925\) | −7.11640 | − | 4.10866i | −0.233986 | − | 0.135092i | ||||
\(926\) | 37.7906 | + | 8.03263i | 1.24188 | + | 0.263969i | ||||
\(927\) | −21.9463 | + | 7.87703i | −0.720811 | + | 0.258716i | ||||
\(928\) | 1.10502 | + | 1.52093i | 0.0362741 | + | 0.0499270i | ||||
\(929\) | −55.3072 | + | 11.7559i | −1.81457 | + | 0.385699i | −0.984979 | − | 0.172672i | \(-0.944760\pi\) |
−0.829591 | + | 0.558371i | \(0.811427\pi\) | |||||||
\(930\) | −12.9833 | + | 35.4252i | −0.425740 | + | 1.16164i | ||||
\(931\) | −66.8753 | + | 48.5877i | −2.19175 | + | 1.59240i | ||||
\(932\) | 0.253661 | − | 2.41343i | 0.00830895 | − | 0.0790544i | ||||
\(933\) | 1.03037 | + | 0.999470i | 0.0337328 | + | 0.0327212i | ||||
\(934\) | 13.4342 | − | 23.2687i | 0.439581 | − | 0.761376i | ||||
\(935\) | −3.02557 | − | 7.85622i | −0.0989467 | − | 0.256926i | ||||
\(936\) | −24.3135 | − | 16.2433i | −0.794713 | − | 0.530929i | ||||
\(937\) | 8.67740 | − | 2.81946i | 0.283478 | − | 0.0921076i | −0.163827 | − | 0.986489i | \(-0.552384\pi\) |
0.447305 | + | 0.894381i | \(0.352384\pi\) | |||||||
\(938\) | −35.6160 | + | 15.8573i | −1.16290 | + | 0.517758i | ||||
\(939\) | 37.4300 | + | 18.3594i | 1.22148 | + | 0.599135i | ||||
\(940\) | 0.862156 | − | 0.183257i | 0.0281204 | − | 0.00597718i | ||||
\(941\) | −34.8109 | − | 11.3107i | −1.13480 | − | 0.368719i | −0.319403 | − | 0.947619i | \(-0.603482\pi\) |
−0.815399 | + | 0.578900i | \(0.803482\pi\) | |||||||
\(942\) | 8.85227 | + | 13.1874i | 0.288423 | + | 0.429670i | ||||
\(943\) | −4.51129 | + | 42.9220i | −0.146908 | + | 1.39773i | ||||
\(944\) | 3.56366 | + | 10.9678i | 0.115987 | + | 0.356972i | ||||
\(945\) | 17.2375 | + | 39.4244i | 0.560736 | + | 1.28248i | ||||
\(946\) | 22.5832 | + | 22.5339i | 0.734242 | + | 0.732640i | ||||
\(947\) | 13.5839 | − | 23.5280i | 0.441418 | − | 0.764559i | −0.556377 | − | 0.830930i | \(-0.687809\pi\) |
0.997795 | + | 0.0663714i | \(0.0211422\pi\) | |||||||
\(948\) | 0.477573 | − | 1.89739i | 0.0155109 | − | 0.0616243i | ||||
\(949\) | 8.81355 | + | 6.28436i | 0.286100 | + | 0.203999i | ||||
\(950\) | −8.12116 | − | 11.1778i | −0.263485 | − | 0.362656i | ||||
\(951\) | −41.5582 | + | 7.23223i | −1.34762 | + | 0.234521i | ||||
\(952\) | 11.4943 | − | 10.3495i | 0.372532 | − | 0.335429i | ||||
\(953\) | −32.1179 | − | 14.2998i | −1.04040 | − | 0.463216i | −0.185846 | − | 0.982579i | \(-0.559503\pi\) |
−0.854554 | + | 0.519363i | \(0.826169\pi\) | |||||||
\(954\) | 8.34989 | − | 46.1489i | 0.270338 | − | 1.49413i | ||||
\(955\) | −9.31244 | − | 8.38496i | −0.301344 | − | 0.271331i | ||||
\(956\) | 2.29259 | − | 1.32363i | 0.0741478 | − | 0.0428093i | ||||
\(957\) | −10.7679 | + | 5.00622i | −0.348077 | + | 0.161828i | ||||
\(958\) | 7.54944 | + | 13.0760i | 0.243911 | + | 0.422467i | ||||
\(959\) | −69.2509 | − | 14.7197i | −2.23623 | − | 0.475325i | ||||
\(960\) | 3.40554 | − | 23.8454i | 0.109913 | − | 0.769606i | ||||
\(961\) | 23.2723 | − | 16.9083i | 0.750721 | − | 0.545431i | ||||
\(962\) | −32.0592 | + | 7.11313i | −1.03363 | + | 0.229336i | ||||
\(963\) | 58.4063 | − | 7.94273i | 1.88212 | − | 0.255951i | ||||
\(964\) | 0.403714 | + | 3.84108i | 0.0130028 | + | 0.123713i | ||||
\(965\) | 32.9125 | − | 14.6536i | 1.05949 | − | 0.471716i | ||||
\(966\) | 19.4457 | + | 68.3909i | 0.625654 | + | 2.20044i | ||||
\(967\) | −39.1897 | −1.26026 | −0.630128 | − | 0.776491i | \(-0.716998\pi\) | ||||
−0.630128 | + | 0.776491i | \(0.716998\pi\) | |||||||
\(968\) | 9.25065 | + | 28.2604i | 0.297327 | + | 0.908323i | ||||
\(969\) | 16.2428 | + | 0.603514i | 0.521793 | + | 0.0193876i | ||||
\(970\) | −5.25113 | − | 16.1613i | −0.168604 | − | 0.518909i | ||||
\(971\) | −18.0623 | − | 1.89842i | −0.579645 | − | 0.0609232i | −0.189831 | − | 0.981817i | \(-0.560794\pi\) |
−0.389814 | + | 0.920894i | \(0.627461\pi\) | |||||||
\(972\) | −2.27004 | + | 1.07598i | −0.0728117 | + | 0.0345121i | ||||
\(973\) | 20.0025 | − | 18.0103i | 0.641249 | − | 0.577383i | ||||
\(974\) | −12.7750 | + | 39.3174i | −0.409338 | + | 1.25981i | ||||
\(975\) | −7.46877 | − | 3.58133i | −0.239192 | − | 0.114694i | ||||
\(976\) | 12.9191 | − | 17.7816i | 0.413530 | − | 0.569175i | ||||
\(977\) | 20.9070 | + | 4.44393i | 0.668875 | + | 0.142174i | 0.529819 | − | 0.848111i | \(-0.322260\pi\) |
0.139056 | + | 0.990284i | \(0.455593\pi\) | |||||||
\(978\) | −20.1381 | − | 38.0790i | −0.643945 | − | 1.21763i | ||||
\(979\) | 1.37052 | − | 26.7092i | 0.0438019 | − | 0.853629i | ||||
\(980\) | 3.60327 | 0.115102 | ||||||||
\(981\) | −2.02294 | − | 0.589854i | −0.0645874 | − | 0.0188326i | ||||
\(982\) | −4.46192 | − | 0.468966i | −0.142386 | − | 0.0149653i | ||||
\(983\) | −14.7505 | + | 10.7168i | −0.470467 | + | 0.341814i | −0.797623 | − | 0.603156i | \(-0.793910\pi\) |
0.327156 | + | 0.944970i | \(0.393910\pi\) | |||||||
\(984\) | 10.7588 | − | 29.3556i | 0.342979 | − | 0.935823i | ||||
\(985\) | −12.7403 | + | 11.4714i | −0.405939 | + | 0.365509i | ||||
\(986\) | −4.00243 | + | 0.420672i | −0.127463 | + | 0.0133969i | ||||
\(987\) | −19.8166 | + | 7.95503i | −0.630771 | + | 0.253212i | ||||
\(988\) | −4.03478 | − | 0.820165i | −0.128363 | − | 0.0260929i | ||||
\(989\) | 42.2904 | 1.34476 | ||||||||
\(990\) | −26.4772 | − | 9.21683i | −0.841502 | − | 0.292930i | ||||
\(991\) | −27.1359 | + | 47.0007i | −0.861999 | + | 1.49303i | 0.00799785 | + | 0.999968i | \(0.497454\pi\) |
−0.869997 | + | 0.493058i | \(0.835879\pi\) | |||||||
\(992\) | 4.70460 | − | 5.22499i | 0.149371 | − | 0.165893i | ||||
\(993\) | 8.85914 | + | 22.0688i | 0.281136 | + | 0.700333i | ||||
\(994\) | 6.85088 | − | 15.3873i | 0.217297 | − | 0.488057i | ||||
\(995\) | 14.5165 | − | 3.08558i | 0.460204 | − | 0.0978194i | ||||
\(996\) | 1.01167 | − | 0.845047i | 0.0320559 | − | 0.0267763i | ||||
\(997\) | 2.98513 | − | 6.70472i | 0.0945401 | − | 0.212341i | −0.860085 | − | 0.510151i | \(-0.829590\pi\) |
0.954625 | + | 0.297810i | \(0.0962563\pi\) | |||||||
\(998\) | 2.34375 | − | 1.04351i | 0.0741903 | − | 0.0330316i | ||||
\(999\) | 10.1528 | − | 30.5496i | 0.321222 | − | 0.966547i |
(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 | 429.2.bm.a.17.14 | ✓ | 416 | |
3.2 | odd | 2 | inner | 429.2.bm.a.17.39 | yes | 416 | |
11.2 | odd | 10 | inner | 429.2.bm.a.134.14 | yes | 416 | |
13.10 | even | 6 | inner | 429.2.bm.a.413.39 | yes | 416 | |
33.2 | even | 10 | inner | 429.2.bm.a.134.39 | yes | 416 | |
39.23 | odd | 6 | inner | 429.2.bm.a.413.14 | yes | 416 | |
143.101 | odd | 30 | inner | 429.2.bm.a.101.39 | yes | 416 | |
429.101 | even | 30 | inner | 429.2.bm.a.101.14 | yes | 416 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bm.a.17.14 | ✓ | 416 | 1.1 | even | 1 | trivial | |
429.2.bm.a.17.39 | yes | 416 | 3.2 | odd | 2 | inner | |
429.2.bm.a.101.14 | yes | 416 | 429.101 | even | 30 | inner | |
429.2.bm.a.101.39 | yes | 416 | 143.101 | odd | 30 | inner | |
429.2.bm.a.134.14 | yes | 416 | 11.2 | odd | 10 | inner | |
429.2.bm.a.134.39 | yes | 416 | 33.2 | even | 10 | inner | |
429.2.bm.a.413.14 | yes | 416 | 39.23 | odd | 6 | inner | |
429.2.bm.a.413.39 | yes | 416 | 13.10 | even | 6 | inner |