Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(671,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.671");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.c (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 671.11 | ||
Character | \(\chi\) | \(=\) | 804.671 |
Dual form | 804.2.c.b.671.12 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37515 | − | 0.330103i | −0.972377 | − | 0.233418i | ||||
\(3\) | 0.355099 | + | 1.69526i | 0.205016 | + | 0.978759i | ||||
\(4\) | 1.78206 | + | 0.907880i | 0.891032 | + | 0.453940i | ||||
\(5\) | 0.0453328i | 0.0202735i | 0.999949 | + | 0.0101367i | \(0.00322668\pi\) | ||||
−0.999949 | + | 0.0101367i | \(0.996773\pi\) | |||||||
\(6\) | 0.0712965 | − | 2.44845i | 0.0291067 | − | 0.999576i | ||||
\(7\) | 2.82199i | 1.06661i | 0.845922 | + | 0.533307i | \(0.179051\pi\) | ||||
−0.845922 | + | 0.533307i | \(0.820949\pi\) | |||||||
\(8\) | −2.15091 | − | 1.83673i | −0.760461 | − | 0.649384i | ||||
\(9\) | −2.74781 | + | 1.20397i | −0.915937 | + | 0.401323i | ||||
\(10\) | 0.0149645 | − | 0.0623394i | 0.00473219 | − | 0.0197134i | ||||
\(11\) | 3.33857 | 1.00662 | 0.503309 | − | 0.864107i | \(-0.332116\pi\) | ||||
0.503309 | + | 0.864107i | \(0.332116\pi\) | |||||||
\(12\) | −0.906284 | + | 3.34345i | −0.261622 | + | 0.965171i | ||||
\(13\) | −5.31881 | −1.47517 | −0.737586 | − | 0.675253i | \(-0.764035\pi\) | ||||
−0.737586 | + | 0.675253i | \(0.764035\pi\) | |||||||
\(14\) | 0.931548 | − | 3.88066i | 0.248967 | − | 1.03715i | ||||
\(15\) | −0.0768509 | + | 0.0160976i | −0.0198428 | + | 0.00415639i | ||||
\(16\) | 2.35151 | + | 3.23580i | 0.587877 | + | 0.808951i | ||||
\(17\) | 0.0462961i | 0.0112285i | 0.999984 | + | 0.00561423i | \(0.00178707\pi\) | ||||
−0.999984 | + | 0.00561423i | \(0.998213\pi\) | |||||||
\(18\) | 4.17608 | − | 0.748576i | 0.984311 | − | 0.176441i | ||||
\(19\) | 3.00472i | 0.689331i | 0.938726 | + | 0.344666i | \(0.112008\pi\) | ||||
−0.938726 | + | 0.344666i | \(0.887992\pi\) | |||||||
\(20\) | −0.0411568 | + | 0.0807860i | −0.00920294 | + | 0.0180643i | ||||
\(21\) | −4.78401 | + | 1.00209i | −1.04396 | + | 0.218673i | ||||
\(22\) | −4.59103 | − | 1.10207i | −0.978811 | − | 0.234963i | ||||
\(23\) | −8.74554 | −1.82357 | −0.911786 | − | 0.410666i | \(-0.865296\pi\) | ||||
−0.911786 | + | 0.410666i | \(0.865296\pi\) | |||||||
\(24\) | 2.34996 | − | 4.29857i | 0.479683 | − | 0.877442i | ||||
\(25\) | 4.99794 | 0.999589 | ||||||||
\(26\) | 7.31415 | + | 1.75575i | 1.43442 | + | 0.344332i | ||||
\(27\) | −3.01678 | − | 4.23072i | −0.580580 | − | 0.814203i | ||||
\(28\) | −2.56203 | + | 5.02897i | −0.484179 | + | 0.950387i | ||||
\(29\) | 3.33779i | 0.619813i | 0.950767 | + | 0.309906i | \(0.100298\pi\) | ||||
−0.950767 | + | 0.309906i | \(0.899702\pi\) | |||||||
\(30\) | 0.110995 | + | 0.00323207i | 0.0202649 | + | 0.000590093i | ||||
\(31\) | 1.84815i | 0.331937i | 0.986131 | + | 0.165968i | \(0.0530750\pi\) | ||||
−0.986131 | + | 0.165968i | \(0.946925\pi\) | |||||||
\(32\) | −2.16552 | − | 5.22595i | −0.382814 | − | 0.923825i | ||||
\(33\) | 1.18552 | + | 5.65975i | 0.206373 | + | 0.985235i | ||||
\(34\) | 0.0152825 | − | 0.0636640i | 0.00262092 | − | 0.0109183i | ||||
\(35\) | −0.127929 | −0.0216239 | ||||||||
\(36\) | −5.98983 | − | 0.349132i | −0.998306 | − | 0.0581887i | ||||
\(37\) | 0.528333 | 0.0868575 | 0.0434287 | − | 0.999057i | \(-0.486172\pi\) | ||||
0.0434287 | + | 0.999057i | \(0.486172\pi\) | |||||||
\(38\) | 0.991868 | − | 4.13194i | 0.160902 | − | 0.670289i | ||||
\(39\) | −1.88870 | − | 9.01677i | −0.302435 | − | 1.44384i | ||||
\(40\) | 0.0832644 | − | 0.0975068i | 0.0131653 | − | 0.0154172i | ||||
\(41\) | − | 4.07375i | − | 0.636213i | −0.948055 | − | 0.318107i | \(-0.896953\pi\) | ||
0.948055 | − | 0.318107i | \(-0.103047\pi\) | |||||||
\(42\) | 6.90952 | + | 0.201198i | 1.06616 | + | 0.0310456i | ||||
\(43\) | 0.346936i | 0.0529073i | 0.999650 | + | 0.0264536i | \(0.00842143\pi\) | ||||
−0.999650 | + | 0.0264536i | \(0.991579\pi\) | |||||||
\(44\) | 5.94955 | + | 3.03102i | 0.896929 | + | 0.456944i | ||||
\(45\) | −0.0545793 | − | 0.124566i | −0.00813621 | − | 0.0185692i | ||||
\(46\) | 12.0264 | + | 2.88693i | 1.77320 | + | 0.425654i | ||||
\(47\) | −0.457301 | −0.0667042 | −0.0333521 | − | 0.999444i | \(-0.510618\pi\) | ||||
−0.0333521 | + | 0.999444i | \(0.510618\pi\) | |||||||
\(48\) | −4.65051 | + | 5.13544i | −0.671243 | + | 0.741237i | ||||
\(49\) | −0.963647 | −0.137664 | ||||||||
\(50\) | −6.87291 | − | 1.64984i | −0.971977 | − | 0.233322i | ||||
\(51\) | −0.0784839 | + | 0.0164397i | −0.0109899 | + | 0.00230202i | ||||
\(52\) | −9.47846 | − | 4.82884i | −1.31443 | − | 0.669640i | ||||
\(53\) | − | 2.89403i | − | 0.397526i | −0.980048 | − | 0.198763i | \(-0.936308\pi\) | ||
0.980048 | − | 0.198763i | \(-0.0636924\pi\) | |||||||
\(54\) | 2.75195 | + | 6.81372i | 0.374493 | + | 0.927230i | ||||
\(55\) | 0.151347i | 0.0204076i | ||||||||
\(56\) | 5.18325 | − | 6.06985i | 0.692641 | − | 0.811118i | ||||
\(57\) | −5.09379 | + | 1.06697i | −0.674689 | + | 0.141324i | ||||
\(58\) | 1.10182 | − | 4.58996i | 0.144675 | − | 0.602691i | ||||
\(59\) | −0.226764 | −0.0295222 | −0.0147611 | − | 0.999891i | \(-0.504699\pi\) | ||||
−0.0147611 | + | 0.999891i | \(0.504699\pi\) | |||||||
\(60\) | −0.151568 | − | 0.0410844i | −0.0195673 | − | 0.00530398i | ||||
\(61\) | −6.11785 | −0.783310 | −0.391655 | − | 0.920112i | \(-0.628097\pi\) | ||||
−0.391655 | + | 0.920112i | \(0.628097\pi\) | |||||||
\(62\) | 0.610078 | − | 2.54147i | 0.0774800 | − | 0.322767i | ||||
\(63\) | −3.39759 | − | 7.75430i | −0.428056 | − | 0.976950i | ||||
\(64\) | 1.25281 | + | 7.90129i | 0.156602 | + | 0.987662i | ||||
\(65\) | − | 0.241117i | − | 0.0299069i | ||||||
\(66\) | 0.238029 | − | 8.17433i | 0.0292993 | − | 1.00619i | ||||
\(67\) | − | 1.00000i | − | 0.122169i | ||||||
\(68\) | −0.0420313 | + | 0.0825027i | −0.00509705 | + | 0.0100049i | ||||
\(69\) | −3.10553 | − | 14.8260i | −0.373862 | − | 1.78484i | ||||
\(70\) | 0.175921 | + | 0.0422297i | 0.0210266 | + | 0.00504741i | ||||
\(71\) | −7.18463 | −0.852659 | −0.426329 | − | 0.904568i | \(-0.640194\pi\) | ||||
−0.426329 | + | 0.904568i | \(0.640194\pi\) | |||||||
\(72\) | 8.12166 | + | 2.45737i | 0.957147 | + | 0.289604i | ||||
\(73\) | −5.00203 | −0.585443 | −0.292722 | − | 0.956198i | \(-0.594561\pi\) | ||||
−0.292722 | + | 0.956198i | \(0.594561\pi\) | |||||||
\(74\) | −0.726537 | − | 0.174404i | −0.0844582 | − | 0.0202741i | ||||
\(75\) | 1.77476 | + | 8.47281i | 0.204932 | + | 0.978356i | ||||
\(76\) | −2.72793 | + | 5.35461i | −0.312915 | + | 0.614216i | ||||
\(77\) | 9.42143i | 1.07367i | ||||||||
\(78\) | −0.379213 | + | 13.0229i | −0.0429374 | + | 1.47455i | ||||
\(79\) | 15.3051i | 1.72196i | 0.508640 | + | 0.860979i | \(0.330148\pi\) | ||||
−0.508640 | + | 0.860979i | \(0.669852\pi\) | |||||||
\(80\) | −0.146688 | + | 0.106600i | −0.0164002 | + | 0.0119183i | ||||
\(81\) | 6.10092 | − | 6.61656i | 0.677880 | − | 0.735173i | ||||
\(82\) | −1.34476 | + | 5.60201i | −0.148504 | + | 0.618639i | ||||
\(83\) | −14.2834 | −1.56781 | −0.783904 | − | 0.620881i | \(-0.786775\pi\) | ||||
−0.783904 | + | 0.620881i | \(0.786775\pi\) | |||||||
\(84\) | −9.43519 | − | 2.55753i | −1.02946 | − | 0.279049i | ||||
\(85\) | −0.00209873 | −0.000227640 | ||||||||
\(86\) | 0.114525 | − | 0.477088i | 0.0123495 | − | 0.0514458i | ||||
\(87\) | −5.65843 | + | 1.18525i | −0.606647 | + | 0.127072i | ||||
\(88\) | −7.18096 | − | 6.13207i | −0.765493 | − | 0.653681i | ||||
\(89\) | − | 0.699578i | − | 0.0741551i | −0.999312 | − | 0.0370776i | \(-0.988195\pi\) | ||
0.999312 | − | 0.0370776i | \(-0.0118049\pi\) | |||||||
\(90\) | 0.0339351 | + | 0.189313i | 0.00357707 | + | 0.0199554i | ||||
\(91\) | − | 15.0097i | − | 1.57344i | ||||||
\(92\) | −15.5851 | − | 7.93990i | −1.62486 | − | 0.827792i | ||||
\(93\) | −3.13309 | + | 0.656274i | −0.324886 | + | 0.0680524i | ||||
\(94\) | 0.628857 | + | 0.150956i | 0.0648616 | + | 0.0155700i | ||||
\(95\) | −0.136213 | −0.0139751 | ||||||||
\(96\) | 8.09036 | − | 5.52685i | 0.825719 | − | 0.564082i | ||||
\(97\) | 2.90757 | 0.295219 | 0.147610 | − | 0.989046i | \(-0.452842\pi\) | ||||
0.147610 | + | 0.989046i | \(0.452842\pi\) | |||||||
\(98\) | 1.32516 | + | 0.318103i | 0.133861 | + | 0.0321332i | ||||
\(99\) | −9.17376 | + | 4.01954i | −0.921998 | + | 0.403979i | ||||
\(100\) | 8.90666 | + | 4.53754i | 0.890666 | + | 0.453754i | ||||
\(101\) | 18.8879i | 1.87941i | 0.341982 | + | 0.939706i | \(0.388902\pi\) | ||||
−0.341982 | + | 0.939706i | \(0.611098\pi\) | |||||||
\(102\) | 0.113354 | + | 0.00330075i | 0.0112237 | + | 0.000326823i | ||||
\(103\) | − | 14.3849i | − | 1.41739i | −0.705516 | − | 0.708694i | \(-0.749285\pi\) | ||
0.705516 | − | 0.708694i | \(-0.250715\pi\) | |||||||
\(104\) | 11.4403 | + | 9.76924i | 1.12181 | + | 0.957953i | ||||
\(105\) | −0.0454274 | − | 0.216873i | −0.00443326 | − | 0.0211646i | ||||
\(106\) | −0.955328 | + | 3.97972i | −0.0927897 | + | 0.386545i | ||||
\(107\) | −0.659701 | −0.0637757 | −0.0318878 | − | 0.999491i | \(-0.510152\pi\) | ||||
−0.0318878 | + | 0.999491i | \(0.510152\pi\) | |||||||
\(108\) | −1.53511 | − | 10.2783i | −0.147716 | − | 0.989030i | ||||
\(109\) | 11.4114 | 1.09301 | 0.546505 | − | 0.837456i | \(-0.315958\pi\) | ||||
0.546505 | + | 0.837456i | \(0.315958\pi\) | |||||||
\(110\) | 0.0499600 | − | 0.208124i | 0.00476350 | − | 0.0198439i | ||||
\(111\) | 0.187610 | + | 0.895662i | 0.0178072 | + | 0.0850125i | ||||
\(112\) | −9.13141 | + | 6.63594i | −0.862837 | + | 0.627037i | ||||
\(113\) | 9.58855i | 0.902015i | 0.892520 | + | 0.451007i | \(0.148935\pi\) | ||||
−0.892520 | + | 0.451007i | \(0.851065\pi\) | |||||||
\(114\) | 7.35692 | + | 0.214226i | 0.689039 | + | 0.0200641i | ||||
\(115\) | − | 0.396460i | − | 0.0369701i | ||||||
\(116\) | −3.03032 | + | 5.94816i | −0.281358 | + | 0.552273i | ||||
\(117\) | 14.6151 | − | 6.40368i | 1.35116 | − | 0.592021i | ||||
\(118\) | 0.311834 | + | 0.0748555i | 0.0287067 | + | 0.00689101i | ||||
\(119\) | −0.130647 | −0.0119764 | ||||||||
\(120\) | 0.194866 | + | 0.106530i | 0.0177888 | + | 0.00972483i | ||||
\(121\) | 0.146066 | 0.0132787 | ||||||||
\(122\) | 8.41295 | + | 2.01952i | 0.761673 | + | 0.182839i | ||||
\(123\) | 6.90607 | − | 1.44658i | 0.622699 | − | 0.130434i | ||||
\(124\) | −1.67789 | + | 3.29351i | −0.150679 | + | 0.295766i | ||||
\(125\) | 0.453235i | 0.0405386i | ||||||||
\(126\) | 2.11248 | + | 11.7849i | 0.188194 | + | 1.04988i | ||||
\(127\) | 6.92851i | 0.614806i | 0.951579 | + | 0.307403i | \(0.0994600\pi\) | ||||
−0.951579 | + | 0.307403i | \(0.900540\pi\) | |||||||
\(128\) | 0.885434 | − | 11.2790i | 0.0782620 | − | 0.996933i | ||||
\(129\) | −0.588147 | + | 0.123197i | −0.0517834 | + | 0.0108469i | ||||
\(130\) | −0.0795933 | + | 0.331571i | −0.00698080 | + | 0.0290807i | ||||
\(131\) | 0.832599 | 0.0727445 | 0.0363723 | − | 0.999338i | \(-0.488420\pi\) | ||||
0.0363723 | + | 0.999338i | \(0.488420\pi\) | |||||||
\(132\) | −3.02570 | + | 11.1623i | −0.263353 | + | 0.971557i | ||||
\(133\) | −8.47931 | −0.735250 | ||||||||
\(134\) | −0.330103 | + | 1.37515i | −0.0285165 | + | 0.118795i | ||||
\(135\) | 0.191791 | − | 0.136759i | 0.0165067 | − | 0.0117704i | ||||
\(136\) | 0.0850337 | − | 0.0995787i | 0.00729158 | − | 0.00853880i | ||||
\(137\) | 4.92259i | 0.420565i | 0.977641 | + | 0.210282i | \(0.0674384\pi\) | ||||
−0.977641 | + | 0.210282i | \(0.932562\pi\) | |||||||
\(138\) | −0.623527 | + | 21.4130i | −0.0530781 | + | 1.82280i | ||||
\(139\) | 6.30934i | 0.535151i | 0.963537 | + | 0.267576i | \(0.0862225\pi\) | ||||
−0.963537 | + | 0.267576i | \(0.913777\pi\) | |||||||
\(140\) | −0.227978 | − | 0.116144i | −0.0192676 | − | 0.00981598i | ||||
\(141\) | −0.162387 | − | 0.775244i | −0.0136755 | − | 0.0652873i | ||||
\(142\) | 9.87993 | + | 2.37167i | 0.829105 | + | 0.199026i | ||||
\(143\) | −17.7572 | −1.48493 | ||||||||
\(144\) | −10.3573 | − | 6.06023i | −0.863108 | − | 0.505019i | ||||
\(145\) | −0.151312 | −0.0125658 | ||||||||
\(146\) | 6.87853 | + | 1.65118i | 0.569271 | + | 0.136653i | ||||
\(147\) | −0.342190 | − | 1.63363i | −0.0282233 | − | 0.134740i | ||||
\(148\) | 0.941524 | + | 0.479663i | 0.0773928 | + | 0.0394281i | ||||
\(149\) | 17.5015i | 1.43378i | 0.697187 | + | 0.716889i | \(0.254435\pi\) | ||||
−0.697187 | + | 0.716889i | \(0.745565\pi\) | |||||||
\(150\) | 0.356336 | − | 12.2372i | 0.0290947 | − | 0.999165i | ||||
\(151\) | 14.7325i | 1.19891i | 0.800408 | + | 0.599455i | \(0.204616\pi\) | ||||
−0.800408 | + | 0.599455i | \(0.795384\pi\) | |||||||
\(152\) | 5.51888 | − | 6.46289i | 0.447640 | − | 0.524209i | ||||
\(153\) | −0.0557391 | − | 0.127213i | −0.00450624 | − | 0.0102846i | ||||
\(154\) | 3.11004 | − | 12.9559i | 0.250614 | − | 1.04401i | ||||
\(155\) | −0.0837817 | −0.00672951 | ||||||||
\(156\) | 4.82035 | − | 17.7832i | 0.385937 | − | 1.42379i | ||||
\(157\) | 12.3226 | 0.983451 | 0.491726 | − | 0.870750i | \(-0.336366\pi\) | ||||
0.491726 | + | 0.870750i | \(0.336366\pi\) | |||||||
\(158\) | 5.05226 | − | 21.0468i | 0.401936 | − | 1.67439i | ||||
\(159\) | 4.90614 | − | 1.02767i | 0.389082 | − | 0.0814993i | ||||
\(160\) | 0.236907 | − | 0.0981693i | 0.0187291 | − | 0.00776096i | ||||
\(161\) | − | 24.6799i | − | 1.94505i | ||||||
\(162\) | −10.5738 | + | 7.08481i | −0.830757 | + | 0.556636i | ||||
\(163\) | − | 21.0635i | − | 1.64982i | −0.565261 | − | 0.824912i | \(-0.691225\pi\) | ||
0.565261 | − | 0.824912i | \(-0.308775\pi\) | |||||||
\(164\) | 3.69848 | − | 7.25969i | 0.288803 | − | 0.566887i | ||||
\(165\) | −0.256572 | + | 0.0537431i | −0.0199741 | + | 0.00418390i | ||||
\(166\) | 19.6418 | + | 4.71500i | 1.52450 | + | 0.365955i | ||||
\(167\) | 21.7501 | 1.68308 | 0.841538 | − | 0.540198i | \(-0.181651\pi\) | ||||
0.841538 | + | 0.540198i | \(0.181651\pi\) | |||||||
\(168\) | 12.1305 | + | 6.63156i | 0.935891 | + | 0.511636i | ||||
\(169\) | 15.2898 | 1.17614 | ||||||||
\(170\) | 0.00288607 | 0.000692798i | 0.000221351 | 5.31352e-5i | ||||||
\(171\) | −3.61760 | − | 8.25641i | −0.276644 | − | 0.631384i | ||||
\(172\) | −0.314976 | + | 0.618262i | −0.0240167 | + | 0.0471421i | ||||
\(173\) | − | 25.8893i | − | 1.96833i | −0.177259 | − | 0.984164i | \(-0.556723\pi\) | ||
0.177259 | − | 0.984164i | \(-0.443277\pi\) | |||||||
\(174\) | 8.17243 | + | 0.237973i | 0.619550 | + | 0.0180407i | ||||
\(175\) | 14.1042i | 1.06617i | ||||||||
\(176\) | 7.85067 | + | 10.8030i | 0.591767 | + | 0.814304i | ||||
\(177\) | −0.0805237 | − | 0.384424i | −0.00605253 | − | 0.0288951i | ||||
\(178\) | −0.230933 | + | 0.962023i | −0.0173091 | + | 0.0721067i | ||||
\(179\) | 1.87615 | 0.140230 | 0.0701149 | − | 0.997539i | \(-0.477663\pi\) | ||||
0.0701149 | + | 0.997539i | \(0.477663\pi\) | |||||||
\(180\) | 0.0158272 | − | 0.271536i | 0.00117969 | − | 0.0202391i | ||||
\(181\) | 10.8705 | 0.808001 | 0.404000 | − | 0.914759i | \(-0.367619\pi\) | ||||
0.404000 | + | 0.914759i | \(0.367619\pi\) | |||||||
\(182\) | −4.95473 | + | 20.6405i | −0.367269 | + | 1.52998i | ||||
\(183\) | −2.17244 | − | 10.3713i | −0.160591 | − | 0.766672i | ||||
\(184\) | 18.8109 | + | 16.0632i | 1.38675 | + | 1.18420i | ||||
\(185\) | 0.0239508i | 0.00176090i | ||||||||
\(186\) | 4.52510 | + | 0.131766i | 0.331796 | + | 0.00966158i | ||||
\(187\) | 0.154563i | 0.0113028i | ||||||||
\(188\) | −0.814940 | − | 0.415175i | −0.0594356 | − | 0.0302797i | ||||
\(189\) | 11.9391 | − | 8.51334i | 0.868440 | − | 0.619255i | ||||
\(190\) | 0.187313 | + | 0.0449642i | 0.0135891 | + | 0.00326204i | ||||
\(191\) | −4.00209 | −0.289581 | −0.144791 | − | 0.989462i | \(-0.546251\pi\) | ||||
−0.144791 | + | 0.989462i | \(0.546251\pi\) | |||||||
\(192\) | −12.9499 | + | 4.92959i | −0.934577 | + | 0.355762i | ||||
\(193\) | 19.1089 | 1.37549 | 0.687743 | − | 0.725954i | \(-0.258602\pi\) | ||||
0.687743 | + | 0.725954i | \(0.258602\pi\) | |||||||
\(194\) | −3.99834 | − | 0.959798i | −0.287064 | − | 0.0689094i | ||||
\(195\) | 0.408756 | − | 0.0856203i | 0.0292716 | − | 0.00613139i | ||||
\(196\) | −1.71728 | − | 0.874876i | −0.122663 | − | 0.0624911i | ||||
\(197\) | 3.18758i | 0.227105i | 0.993532 | + | 0.113553i | \(0.0362231\pi\) | ||||
−0.993532 | + | 0.113553i | \(0.963777\pi\) | |||||||
\(198\) | 13.9421 | − | 2.49918i | 0.990825 | − | 0.177609i | ||||
\(199\) | − | 17.5383i | − | 1.24326i | −0.783313 | − | 0.621628i | \(-0.786472\pi\) | ||
0.783313 | − | 0.621628i | \(-0.213528\pi\) | |||||||
\(200\) | −10.7501 | − | 9.17990i | −0.760148 | − | 0.649117i | ||||
\(201\) | 1.69526 | − | 0.355099i | 0.119574 | − | 0.0250467i | ||||
\(202\) | 6.23494 | − | 25.9736i | 0.438689 | − | 1.82750i | ||||
\(203\) | −9.41923 | −0.661101 | ||||||||
\(204\) | −0.154789 | − | 0.0419574i | −0.0108374 | − | 0.00293761i | ||||
\(205\) | 0.184675 | 0.0128982 | ||||||||
\(206\) | −4.74850 | + | 19.7814i | −0.330844 | + | 1.37824i | ||||
\(207\) | 24.0311 | − | 10.5294i | 1.67028 | − | 0.731841i | ||||
\(208\) | −12.5072 | − | 17.2106i | −0.867220 | − | 1.19334i | ||||
\(209\) | 10.0315i | 0.693893i | ||||||||
\(210\) | −0.00912089 | + | 0.313228i | −0.000629401 | + | 0.0216148i | ||||
\(211\) | 3.20034i | 0.220321i | 0.993914 | + | 0.110160i | \(0.0351364\pi\) | ||||
−0.993914 | + | 0.110160i | \(0.964864\pi\) | |||||||
\(212\) | 2.62744 | − | 5.15735i | 0.180453 | − | 0.354208i | ||||
\(213\) | −2.55125 | − | 12.1798i | −0.174809 | − | 0.834547i | ||||
\(214\) | 0.907186 | + | 0.217769i | 0.0620140 | + | 0.0148864i | ||||
\(215\) | −0.0157276 | −0.00107261 | ||||||||
\(216\) | −1.28189 | + | 14.6409i | −0.0872214 | + | 0.996189i | ||||
\(217\) | −5.21545 | −0.354048 | ||||||||
\(218\) | −15.6923 | − | 3.76692i | −1.06282 | − | 0.255128i | ||||
\(219\) | −1.77621 | − | 8.47974i | −0.120025 | − | 0.573008i | ||||
\(220\) | −0.137405 | + | 0.269710i | −0.00926384 | + | 0.0181838i | ||||
\(221\) | − | 0.246240i | − | 0.0165639i | ||||||
\(222\) | 0.0376683 | − | 1.29360i | 0.00252813 | − | 0.0868207i | ||||
\(223\) | 23.6656i | 1.58476i | 0.610026 | + | 0.792382i | \(0.291159\pi\) | ||||
−0.610026 | + | 0.792382i | \(0.708841\pi\) | |||||||
\(224\) | 14.7476 | − | 6.11109i | 0.985365 | − | 0.408314i | ||||
\(225\) | −13.7334 | + | 6.01737i | −0.915560 | + | 0.401158i | ||||
\(226\) | 3.16521 | − | 13.1857i | 0.210546 | − | 0.877098i | ||||
\(227\) | 25.7062 | 1.70618 | 0.853091 | − | 0.521762i | \(-0.174725\pi\) | ||||
0.853091 | + | 0.521762i | \(0.174725\pi\) | |||||||
\(228\) | −10.0461 | − | 2.72313i | −0.665322 | − | 0.180344i | ||||
\(229\) | −11.9383 | −0.788906 | −0.394453 | − | 0.918916i | \(-0.629066\pi\) | ||||
−0.394453 | + | 0.918916i | \(0.629066\pi\) | |||||||
\(230\) | −0.130873 | + | 0.545191i | −0.00862948 | + | 0.0359489i | ||||
\(231\) | −15.9718 | + | 3.34554i | −1.05087 | + | 0.220120i | ||||
\(232\) | 6.13064 | − | 7.17929i | 0.402496 | − | 0.471344i | ||||
\(233\) | 17.8239i | 1.16769i | 0.811867 | + | 0.583843i | \(0.198452\pi\) | ||||
−0.811867 | + | 0.583843i | \(0.801548\pi\) | |||||||
\(234\) | −22.2118 | + | 3.98153i | −1.45203 | + | 0.260281i | ||||
\(235\) | − | 0.0207308i | − | 0.00135233i | ||||||
\(236\) | −0.404108 | − | 0.205875i | −0.0263052 | − | 0.0134013i | ||||
\(237\) | −25.9461 | + | 5.43482i | −1.68538 | + | 0.353030i | ||||
\(238\) | 0.179659 | + | 0.0431270i | 0.0116456 | + | 0.00279551i | ||||
\(239\) | 22.2718 | 1.44064 | 0.720320 | − | 0.693642i | \(-0.243995\pi\) | ||||
0.720320 | + | 0.693642i | \(0.243995\pi\) | |||||||
\(240\) | −0.232804 | − | 0.210821i | −0.0150274 | − | 0.0136084i | ||||
\(241\) | 19.3681 | 1.24761 | 0.623804 | − | 0.781580i | \(-0.285586\pi\) | ||||
0.623804 | + | 0.781580i | \(0.285586\pi\) | |||||||
\(242\) | −0.200863 | − | 0.0482169i | −0.0129119 | − | 0.00309950i | ||||
\(243\) | 13.3832 | + | 7.99311i | 0.858533 | + | 0.512758i | ||||
\(244\) | −10.9024 | − | 5.55428i | −0.697955 | − | 0.355576i | ||||
\(245\) | − | 0.0436848i | − | 0.00279092i | ||||||
\(246\) | −9.97439 | − | 0.290445i | −0.635944 | − | 0.0185181i | ||||
\(247\) | − | 15.9816i | − | 1.01688i | ||||||
\(248\) | 3.39455 | − | 3.97519i | 0.215554 | − | 0.252425i | ||||
\(249\) | −5.07202 | − | 24.2141i | −0.321426 | − | 1.53451i | ||||
\(250\) | 0.149614 | − | 0.623265i | 0.00946243 | − | 0.0394188i | ||||
\(251\) | −12.1468 | −0.766701 | −0.383350 | − | 0.923603i | \(-0.625230\pi\) | ||||
−0.383350 | + | 0.923603i | \(0.625230\pi\) | |||||||
\(252\) | 0.985249 | − | 16.9033i | 0.0620649 | − | 1.06481i | ||||
\(253\) | −29.1976 | −1.83564 | ||||||||
\(254\) | 2.28712 | − | 9.52773i | 0.143507 | − | 0.597823i | ||||
\(255\) | −0.000745258 | − | 0.00355790i | −4.66699e−5 | − | 0.000222804i | ||||
\(256\) | −4.94083 | + | 15.2180i | −0.308802 | + | 0.951126i | ||||
\(257\) | 22.4036i | 1.39750i | 0.715367 | + | 0.698748i | \(0.246259\pi\) | ||||
−0.715367 | + | 0.698748i | \(0.753741\pi\) | |||||||
\(258\) | 0.849456 | + | 0.0247353i | 0.0528848 | + | 0.00153996i | ||||
\(259\) | 1.49095i | 0.0926433i | ||||||||
\(260\) | 0.218905 | − | 0.429686i | 0.0135759 | − | 0.0266480i | ||||
\(261\) | −4.01860 | − | 9.17162i | −0.248745 | − | 0.567709i | ||||
\(262\) | −1.14495 | − | 0.274843i | −0.0707351 | − | 0.0169799i | ||||
\(263\) | 26.2457 | 1.61838 | 0.809189 | − | 0.587548i | \(-0.199907\pi\) | ||||
0.809189 | + | 0.587548i | \(0.199907\pi\) | |||||||
\(264\) | 7.84550 | − | 14.3511i | 0.482857 | − | 0.883248i | ||||
\(265\) | 0.131195 | 0.00805923 | ||||||||
\(266\) | 11.6603 | + | 2.79904i | 0.714940 | + | 0.171620i | ||||
\(267\) | 1.18597 | − | 0.248419i | 0.0725800 | − | 0.0152030i | ||||
\(268\) | 0.907880 | − | 1.78206i | 0.0554576 | − | 0.108857i | ||||
\(269\) | − | 16.0941i | − | 0.981276i | −0.871364 | − | 0.490638i | \(-0.836764\pi\) | ||
0.871364 | − | 0.490638i | \(-0.163236\pi\) | |||||||
\(270\) | −0.308885 | + | 0.124754i | −0.0187982 | + | 0.00759227i | ||||
\(271\) | 13.4888i | 0.819383i | 0.912224 | + | 0.409692i | \(0.134364\pi\) | ||||
−0.912224 | + | 0.409692i | \(0.865636\pi\) | |||||||
\(272\) | −0.149805 | + | 0.108866i | −0.00908327 | + | 0.00660095i | ||||
\(273\) | 25.4453 | − | 5.32991i | 1.54002 | − | 0.322581i | ||||
\(274\) | 1.62496 | − | 6.76928i | 0.0981674 | − | 0.408947i | ||||
\(275\) | 16.6860 | 1.00620 | ||||||||
\(276\) | 7.92594 | − | 29.2403i | 0.477086 | − | 1.76006i | ||||
\(277\) | −13.5911 | −0.816609 | −0.408304 | − | 0.912846i | \(-0.633880\pi\) | ||||
−0.408304 | + | 0.912846i | \(0.633880\pi\) | |||||||
\(278\) | 2.08273 | − | 8.67628i | 0.124914 | − | 0.520369i | ||||
\(279\) | −2.22511 | − | 5.07835i | −0.133214 | − | 0.304033i | ||||
\(280\) | 0.275163 | + | 0.234971i | 0.0164442 | + | 0.0140422i | ||||
\(281\) | 14.2655i | 0.851007i | 0.904957 | + | 0.425504i | \(0.139903\pi\) | ||||
−0.904957 | + | 0.425504i | \(0.860097\pi\) | |||||||
\(282\) | −0.0326040 | + | 1.11968i | −0.00194154 | + | 0.0666760i | ||||
\(283\) | 2.05619i | 0.122228i | 0.998131 | + | 0.0611138i | \(0.0194653\pi\) | ||||
−0.998131 | + | 0.0611138i | \(0.980535\pi\) | |||||||
\(284\) | −12.8035 | − | 6.52278i | −0.759746 | − | 0.387056i | ||||
\(285\) | −0.0483689 | − | 0.230916i | −0.00286513 | − | 0.0136783i | ||||
\(286\) | 24.4188 | + | 5.86171i | 1.44392 | + | 0.346610i | ||||
\(287\) | 11.4961 | 0.678594 | ||||||||
\(288\) | 12.2423 | + | 11.7527i | 0.721386 | + | 0.692534i | ||||
\(289\) | 16.9979 | 0.999874 | ||||||||
\(290\) | 0.208076 | + | 0.0499484i | 0.0122186 | + | 0.00293307i | ||||
\(291\) | 1.03248 | + | 4.92909i | 0.0605248 | + | 0.288948i | ||||
\(292\) | −8.91394 | − | 4.54124i | −0.521649 | − | 0.265756i | ||||
\(293\) | 30.5801i | 1.78651i | 0.449554 | + | 0.893253i | \(0.351583\pi\) | ||||
−0.449554 | + | 0.893253i | \(0.648417\pi\) | |||||||
\(294\) | −0.0687047 | + | 2.35944i | −0.00400694 | + | 0.137606i | ||||
\(295\) | − | 0.0102799i | − | 0.000598517i | ||||||
\(296\) | −1.13640 | − | 0.970408i | −0.0660517 | − | 0.0564038i | ||||
\(297\) | −10.0718 | − | 14.1246i | −0.584422 | − | 0.819591i | ||||
\(298\) | 5.77729 | − | 24.0671i | 0.334669 | − | 1.39417i | ||||
\(299\) | 46.5159 | 2.69008 | ||||||||
\(300\) | −4.52956 | + | 16.7104i | −0.261514 | + | 0.964774i | ||||
\(301\) | −0.979051 | −0.0564316 | ||||||||
\(302\) | 4.86322 | − | 20.2593i | 0.279847 | − | 1.16579i | ||||
\(303\) | −32.0198 | + | 6.70706i | −1.83949 | + | 0.385310i | ||||
\(304\) | −9.72270 | + | 7.06563i | −0.557635 | + | 0.405242i | ||||
\(305\) | − | 0.277339i | − | 0.0158804i | ||||||
\(306\) | 0.0346562 | + | 0.193336i | 0.00198116 | + | 0.0110523i | ||||
\(307\) | − | 17.9892i | − | 1.02670i | −0.858181 | − | 0.513348i | \(-0.828405\pi\) | ||
0.858181 | − | 0.513348i | \(-0.171595\pi\) | |||||||
\(308\) | −8.55353 | + | 16.7896i | −0.487383 | + | 0.956676i | ||||
\(309\) | 24.3862 | − | 5.10807i | 1.38728 | − | 0.290588i | ||||
\(310\) | 0.115212 | + | 0.0276566i | 0.00654361 | + | 0.00157079i | ||||
\(311\) | −26.8825 | −1.52436 | −0.762182 | − | 0.647363i | \(-0.775872\pi\) | ||||
−0.762182 | + | 0.647363i | \(0.775872\pi\) | |||||||
\(312\) | −12.4990 | + | 22.8633i | −0.707615 | + | 1.29438i | ||||
\(313\) | −14.6195 | −0.826344 | −0.413172 | − | 0.910653i | \(-0.635579\pi\) | ||||
−0.413172 | + | 0.910653i | \(0.635579\pi\) | |||||||
\(314\) | −16.9454 | − | 4.06773i | −0.956285 | − | 0.229555i | ||||
\(315\) | 0.351524 | − | 0.154022i | 0.0198062 | − | 0.00867818i | ||||
\(316\) | −13.8952 | + | 27.2747i | −0.781666 | + | 1.53432i | ||||
\(317\) | 16.4279i | 0.922683i | 0.887223 | + | 0.461341i | \(0.152632\pi\) | ||||
−0.887223 | + | 0.461341i | \(0.847368\pi\) | |||||||
\(318\) | −7.08590 | − | 0.206335i | −0.397358 | − | 0.0115707i | ||||
\(319\) | 11.1435i | 0.623914i | ||||||||
\(320\) | −0.358188 | + | 0.0567936i | −0.0200233 | + | 0.00317486i | ||||
\(321\) | −0.234259 | − | 1.11836i | −0.0130751 | − | 0.0624210i | ||||
\(322\) | −8.14689 | + | 33.9385i | −0.454008 | + | 1.89132i | ||||
\(323\) | −0.139107 | −0.00774013 | ||||||||
\(324\) | 16.8793 | − | 6.25222i | 0.937737 | − | 0.347346i | ||||
\(325\) | −26.5831 | −1.47457 | ||||||||
\(326\) | −6.95313 | + | 28.9655i | −0.385098 | + | 1.60425i | ||||
\(327\) | 4.05216 | + | 19.3452i | 0.224085 | + | 1.06979i | ||||
\(328\) | −7.48240 | + | 8.76227i | −0.413147 | + | 0.483815i | ||||
\(329\) | − | 1.29050i | − | 0.0711476i | ||||||
\(330\) | 0.370566 | + | 0.0107905i | 0.0203990 | + | 0.000593998i | ||||
\(331\) | − | 18.0323i | − | 0.991146i | −0.868566 | − | 0.495573i | \(-0.834958\pi\) | ||
0.868566 | − | 0.495573i | \(-0.165042\pi\) | |||||||
\(332\) | −25.4540 | − | 12.9676i | −1.39697 | − | 0.711691i | ||||
\(333\) | −1.45176 | + | 0.636097i | −0.0795559 | + | 0.0348579i | ||||
\(334\) | −29.9097 | − | 7.17978i | −1.63658 | − | 0.392860i | ||||
\(335\) | 0.0453328 | 0.00247680 | ||||||||
\(336\) | −14.4922 | − | 13.1237i | −0.790614 | − | 0.715957i | ||||
\(337\) | 21.9123 | 1.19364 | 0.596821 | − | 0.802375i | \(-0.296430\pi\) | ||||
0.596821 | + | 0.802375i | \(0.296430\pi\) | |||||||
\(338\) | −21.0257 | − | 5.04719i | −1.14365 | − | 0.274531i | ||||
\(339\) | −16.2551 | + | 3.40488i | −0.882855 | + | 0.184928i | ||||
\(340\) | −0.00374008 | − | 0.00190540i | −0.000202834 | − | 0.000103335i | ||||
\(341\) | 6.17017i | 0.334133i | ||||||||
\(342\) | 2.24926 | + | 12.5480i | 0.121626 | + | 0.678516i | ||||
\(343\) | 17.0345i | 0.919779i | ||||||||
\(344\) | 0.637229 | − | 0.746228i | 0.0343571 | − | 0.0402339i | ||||
\(345\) | 0.672103 | − | 0.140782i | 0.0361848 | − | 0.00757947i | ||||
\(346\) | −8.54614 | + | 35.6016i | −0.459443 | + | 1.91396i | ||||
\(347\) | −8.77121 | −0.470863 | −0.235432 | − | 0.971891i | \(-0.575650\pi\) | ||||
−0.235432 | + | 0.971891i | \(0.575650\pi\) | |||||||
\(348\) | −11.1597 | − | 3.02499i | −0.598225 | − | 0.162156i | ||||
\(349\) | −24.2036 | −1.29559 | −0.647794 | − | 0.761815i | \(-0.724308\pi\) | ||||
−0.647794 | + | 0.761815i | \(0.724308\pi\) | |||||||
\(350\) | 4.65582 | − | 19.3953i | 0.248864 | − | 1.03672i | ||||
\(351\) | 16.0457 | + | 22.5024i | 0.856456 | + | 1.20109i | ||||
\(352\) | −7.22975 | − | 17.4472i | −0.385347 | − | 0.929939i | ||||
\(353\) | 30.4426i | 1.62030i | 0.586225 | + | 0.810148i | \(0.300613\pi\) | ||||
−0.586225 | + | 0.810148i | \(0.699387\pi\) | |||||||
\(354\) | −0.0161675 | + | 0.555221i | −0.000859293 | + | 0.0295097i | ||||
\(355\) | − | 0.325700i | − | 0.0172863i | ||||||
\(356\) | 0.635133 | − | 1.24669i | 0.0336620 | − | 0.0660746i | ||||
\(357\) | −0.0463927 | − | 0.221481i | −0.00245536 | − | 0.0117220i | ||||
\(358\) | −2.57998 | − | 0.619322i | −0.136356 | − | 0.0327322i | ||||
\(359\) | 17.3593 | 0.916188 | 0.458094 | − | 0.888904i | \(-0.348532\pi\) | ||||
0.458094 | + | 0.888904i | \(0.348532\pi\) | |||||||
\(360\) | −0.111400 | + | 0.368178i | −0.00587127 | + | 0.0194047i | ||||
\(361\) | 9.97163 | 0.524823 | ||||||||
\(362\) | −14.9486 | − | 3.58840i | −0.785681 | − | 0.188602i | ||||
\(363\) | 0.0518679 | + | 0.247620i | 0.00272236 | + | 0.0129967i | ||||
\(364\) | 13.6270 | − | 26.7482i | 0.714247 | − | 1.40198i | ||||
\(365\) | − | 0.226756i | − | 0.0118690i | ||||||
\(366\) | −0.436182 | + | 14.9793i | −0.0227996 | + | 0.782978i | ||||
\(367\) | 20.2091i | 1.05491i | 0.849584 | + | 0.527453i | \(0.176853\pi\) | ||||
−0.849584 | + | 0.527453i | \(0.823147\pi\) | |||||||
\(368\) | −20.5652 | − | 28.2988i | −1.07203 | − | 1.47518i | ||||
\(369\) | 4.90467 | + | 11.1939i | 0.255327 | + | 0.582731i | ||||
\(370\) | 0.00790624 | − | 0.0329360i | 0.000411026 | − | 0.00171226i | ||||
\(371\) | 8.16694 | 0.424007 | ||||||||
\(372\) | −6.17918 | − | 1.67494i | −0.320376 | − | 0.0868418i | ||||
\(373\) | −9.05088 | −0.468637 | −0.234318 | − | 0.972160i | \(-0.575286\pi\) | ||||
−0.234318 | + | 0.972160i | \(0.575286\pi\) | |||||||
\(374\) | 0.0510217 | − | 0.212547i | 0.00263827 | − | 0.0109905i | ||||
\(375\) | −0.768351 | + | 0.160943i | −0.0396775 | + | 0.00831107i | ||||
\(376\) | 0.983613 | + | 0.839941i | 0.0507260 | + | 0.0433166i | ||||
\(377\) | − | 17.7531i | − | 0.914331i | ||||||
\(378\) | −19.2283 | + | 7.76599i | −0.988996 | + | 0.399439i | ||||
\(379\) | 21.7509i | 1.11727i | 0.829415 | + | 0.558634i | \(0.188674\pi\) | ||||
−0.829415 | + | 0.558634i | \(0.811326\pi\) | |||||||
\(380\) | −0.242740 | − | 0.123665i | −0.0124523 | − | 0.00634387i | ||||
\(381\) | −11.7456 | + | 2.46031i | −0.601747 | + | 0.126045i | ||||
\(382\) | 5.50347 | + | 1.32110i | 0.281582 | + | 0.0675934i | ||||
\(383\) | 14.9683 | 0.764845 | 0.382423 | − | 0.923987i | \(-0.375090\pi\) | ||||
0.382423 | + | 0.923987i | \(0.375090\pi\) | |||||||
\(384\) | 19.4353 | − | 2.50412i | 0.991802 | − | 0.127788i | ||||
\(385\) | −0.427100 | −0.0217670 | ||||||||
\(386\) | −26.2775 | − | 6.30789i | −1.33749 | − | 0.321063i | ||||
\(387\) | −0.417700 | − | 0.953314i | −0.0212329 | − | 0.0484597i | ||||
\(388\) | 5.18148 | + | 2.63973i | 0.263050 | + | 0.134012i | ||||
\(389\) | − | 26.1553i | − | 1.32613i | −0.748564 | − | 0.663063i | \(-0.769256\pi\) | ||
0.748564 | − | 0.663063i | \(-0.230744\pi\) | |||||||
\(390\) | −0.590363 | − | 0.0171908i | −0.0298942 | − | 0.000870490i | ||||
\(391\) | − | 0.404885i | − | 0.0204759i | ||||||
\(392\) | 2.07272 | + | 1.76996i | 0.104688 | + | 0.0893966i | ||||
\(393\) | 0.295655 | + | 1.41147i | 0.0149138 | + | 0.0711993i | ||||
\(394\) | 1.05223 | − | 4.38339i | 0.0530105 | − | 0.220832i | ||||
\(395\) | −0.693823 | −0.0349100 | ||||||||
\(396\) | −19.9975 | − | 1.16560i | −1.00491 | − | 0.0585738i | ||||
\(397\) | −21.6228 | −1.08522 | −0.542610 | − | 0.839985i | \(-0.682564\pi\) | ||||
−0.542610 | + | 0.839985i | \(0.682564\pi\) | |||||||
\(398\) | −5.78944 | + | 24.1177i | −0.290198 | + | 1.20891i | ||||
\(399\) | −3.01099 | − | 14.3746i | −0.150738 | − | 0.719632i | ||||
\(400\) | 11.7527 | + | 16.1724i | 0.587635 | + | 0.808618i | ||||
\(401\) | 30.4479i | 1.52050i | 0.649633 | + | 0.760248i | \(0.274923\pi\) | ||||
−0.649633 | + | 0.760248i | \(0.725077\pi\) | |||||||
\(402\) | −2.44845 | − | 0.0712965i | −0.122118 | − | 0.00355595i | ||||
\(403\) | − | 9.82994i | − | 0.489664i | ||||||
\(404\) | −17.1479 | + | 33.6594i | −0.853141 | + | 1.67462i | ||||
\(405\) | 0.299947 | + | 0.276572i | 0.0149045 | + | 0.0137430i | ||||
\(406\) | 12.9528 | + | 3.10932i | 0.642839 | + | 0.154313i | ||||
\(407\) | 1.76388 | 0.0874322 | ||||||||
\(408\) | 0.199007 | + | 0.108794i | 0.00985232 | + | 0.00538610i | ||||
\(409\) | −9.38435 | −0.464026 | −0.232013 | − | 0.972713i | \(-0.574531\pi\) | ||||
−0.232013 | + | 0.972713i | \(0.574531\pi\) | |||||||
\(410\) | −0.253955 | − | 0.0609617i | −0.0125420 | − | 0.00301068i | ||||
\(411\) | −8.34506 | + | 1.74800i | −0.411631 | + | 0.0862227i | ||||
\(412\) | 13.0598 | − | 25.6349i | 0.643410 | − | 1.26294i | ||||
\(413\) | − | 0.639927i | − | 0.0314888i | ||||||
\(414\) | −36.5221 | + | 6.54670i | −1.79496 | + | 0.321753i | ||||
\(415\) | − | 0.647508i | − | 0.0317849i | ||||||
\(416\) | 11.5180 | + | 27.7958i | 0.564717 | + | 1.36280i | ||||
\(417\) | −10.6960 | + | 2.24044i | −0.523784 | + | 0.109715i | ||||
\(418\) | 3.31142 | − | 13.7948i | 0.161967 | − | 0.674725i | ||||
\(419\) | 14.5317 | 0.709920 | 0.354960 | − | 0.934881i | \(-0.384494\pi\) | ||||
0.354960 | + | 0.934881i | \(0.384494\pi\) | |||||||
\(420\) | 0.115940 | − | 0.427724i | 0.00565729 | − | 0.0208708i | ||||
\(421\) | 7.75853 | 0.378127 | 0.189064 | − | 0.981965i | \(-0.439455\pi\) | ||||
0.189064 | + | 0.981965i | \(0.439455\pi\) | |||||||
\(422\) | 1.05644 | − | 4.40095i | 0.0514268 | − | 0.214235i | ||||
\(423\) | 1.25658 | − | 0.550576i | 0.0610969 | − | 0.0267699i | ||||
\(424\) | −5.31557 | + | 6.22480i | −0.258147 | + | 0.302303i | ||||
\(425\) | 0.231385i | 0.0112238i | ||||||||
\(426\) | −0.512239 | + | 17.5912i | −0.0248181 | + | 0.852297i | ||||
\(427\) | − | 17.2645i | − | 0.835489i | ||||||
\(428\) | −1.17563 | − | 0.598929i | −0.0568262 | − | 0.0289503i | ||||
\(429\) | −6.30557 | − | 30.1031i | −0.304436 | − | 1.45339i | ||||
\(430\) | 0.0216278 | + | 0.00519172i | 0.00104298 | + | 0.000250367i | ||||
\(431\) | −24.2429 | −1.16774 | −0.583869 | − | 0.811848i | \(-0.698462\pi\) | ||||
−0.583869 | + | 0.811848i | \(0.698462\pi\) | |||||||
\(432\) | 6.59580 | − | 19.7103i | 0.317340 | − | 0.948312i | ||||
\(433\) | 30.8720 | 1.48361 | 0.741806 | − | 0.670614i | \(-0.233969\pi\) | ||||
0.741806 | + | 0.670614i | \(0.233969\pi\) | |||||||
\(434\) | 7.17202 | + | 1.72164i | 0.344268 | + | 0.0826412i | ||||
\(435\) | −0.0537306 | − | 0.256513i | −0.00257618 | − | 0.0122988i | ||||
\(436\) | 20.3358 | + | 10.3602i | 0.973907 | + | 0.496161i | ||||
\(437\) | − | 26.2779i | − | 1.25704i | ||||||
\(438\) | −0.356627 | + | 12.2472i | −0.0170403 | + | 0.585195i | ||||
\(439\) | − | 36.8150i | − | 1.75708i | −0.477665 | − | 0.878542i | \(-0.658517\pi\) | ||
0.477665 | − | 0.878542i | \(-0.341483\pi\) | |||||||
\(440\) | 0.277984 | − | 0.325533i | 0.0132524 | − | 0.0155192i | ||||
\(441\) | 2.64792 | − | 1.16020i | 0.126091 | − | 0.0552477i | ||||
\(442\) | −0.0812846 | + | 0.338617i | −0.00386631 | + | 0.0161064i | ||||
\(443\) | −20.0252 | −0.951425 | −0.475712 | − | 0.879601i | \(-0.657810\pi\) | ||||
−0.475712 | + | 0.879601i | \(0.657810\pi\) | |||||||
\(444\) | −0.478820 | + | 1.76646i | −0.0227238 | + | 0.0838323i | ||||
\(445\) | 0.0317139 | 0.00150338 | ||||||||
\(446\) | 7.81207 | − | 32.5436i | 0.369912 | − | 1.54099i | ||||
\(447\) | −29.6696 | + | 6.21476i | −1.40332 | + | 0.293948i | ||||
\(448\) | −22.2974 | + | 3.53543i | −1.05345 | + | 0.167034i | ||||
\(449\) | − | 19.0841i | − | 0.900634i | −0.892869 | − | 0.450317i | \(-0.851311\pi\) | ||
0.892869 | − | 0.450317i | \(-0.148689\pi\) | |||||||
\(450\) | 20.8718 | − | 3.74134i | 0.983907 | − | 0.176369i | ||||
\(451\) | − | 13.6005i | − | 0.640424i | ||||||
\(452\) | −8.70526 | + | 17.0874i | −0.409461 | + | 0.803724i | ||||
\(453\) | −24.9753 | + | 5.23148i | −1.17344 | + | 0.245796i | ||||
\(454\) | −35.3499 | − | 8.48570i | −1.65905 | − | 0.398253i | ||||
\(455\) | 0.680430 | 0.0318991 | ||||||||
\(456\) | 12.9160 | + | 7.06097i | 0.604848 | + | 0.330660i | ||||
\(457\) | −14.3677 | −0.672092 | −0.336046 | − | 0.941846i | \(-0.609090\pi\) | ||||
−0.336046 | + | 0.941846i | \(0.609090\pi\) | |||||||
\(458\) | 16.4170 | + | 3.94087i | 0.767114 | + | 0.184145i | ||||
\(459\) | 0.195866 | − | 0.139665i | 0.00914224 | − | 0.00651902i | ||||
\(460\) | 0.359938 | − | 0.706517i | 0.0167822 | − | 0.0329415i | ||||
\(461\) | − | 24.9347i | − | 1.16132i | −0.814145 | − | 0.580661i | \(-0.802794\pi\) | ||
0.814145 | − | 0.580661i | \(-0.197206\pi\) | |||||||
\(462\) | 23.0679 | + | 0.671715i | 1.07322 | + | 0.0312510i | ||||
\(463\) | 15.6605i | 0.727807i | 0.931437 | + | 0.363904i | \(0.118556\pi\) | ||||
−0.931437 | + | 0.363904i | \(0.881444\pi\) | |||||||
\(464\) | −10.8004 | + | 7.84885i | −0.501398 | + | 0.364374i | ||||
\(465\) | −0.0297508 | − | 0.142032i | −0.00137966 | − | 0.00658656i | ||||
\(466\) | 5.88373 | − | 24.5106i | 0.272559 | − | 1.13543i | ||||
\(467\) | −0.0672601 | −0.00311243 | −0.00155621 | − | 0.999999i | \(-0.500495\pi\) | ||||
−0.00155621 | + | 0.999999i | \(0.500495\pi\) | |||||||
\(468\) | 31.8588 | + | 1.85697i | 1.47267 | + | 0.0858384i | ||||
\(469\) | 2.82199 | 0.130308 | ||||||||
\(470\) | −0.00684328 | + | 0.0285079i | −0.000315657 | + | 0.00131497i | ||||
\(471\) | 4.37574 | + | 20.8900i | 0.201624 | + | 0.962561i | ||||
\(472\) | 0.487749 | + | 0.416506i | 0.0224505 | + | 0.0191712i | ||||
\(473\) | 1.15827i | 0.0532574i | ||||||||
\(474\) | 37.4738 | + | 1.09120i | 1.72123 | + | 0.0501205i | ||||
\(475\) | 15.0174i | 0.689048i | ||||||||
\(476\) | −0.232822 | − | 0.118612i | −0.0106714 | − | 0.00543658i | ||||
\(477\) | 3.48433 | + | 7.95225i | 0.159536 | + | 0.364109i | ||||
\(478\) | −30.6270 | − | 7.35197i | −1.40085 | − | 0.336271i | ||||
\(479\) | 10.4537 | 0.477640 | 0.238820 | − | 0.971064i | \(-0.423239\pi\) | ||||
0.238820 | + | 0.971064i | \(0.423239\pi\) | |||||||
\(480\) | 0.250548 | + | 0.366759i | 0.0114359 | + | 0.0167402i | ||||
\(481\) | −2.81011 | −0.128130 | ||||||||
\(482\) | −26.6340 | − | 6.39346i | −1.21315 | − | 0.291214i | ||||
\(483\) | 41.8388 | − | 8.76379i | 1.90373 | − | 0.398766i | ||||
\(484\) | 0.260299 | + | 0.132611i | 0.0118318 | + | 0.00602776i | ||||
\(485\) | 0.131808i | 0.00598511i | ||||||||
\(486\) | −15.7653 | − | 15.4095i | −0.715131 | − | 0.698991i | ||||
\(487\) | 23.8327i | 1.07996i | 0.841677 | + | 0.539982i | \(0.181569\pi\) | ||||
−0.841677 | + | 0.539982i | \(0.818431\pi\) | |||||||
\(488\) | 13.1589 | + | 11.2369i | 0.595677 | + | 0.508669i | ||||
\(489\) | 35.7082 | − | 7.47964i | 1.61478 | − | 0.338241i | ||||
\(490\) | −0.0144205 | + | 0.0600731i | −0.000651451 | + | 0.00271383i | ||||
\(491\) | −29.4130 | −1.32739 | −0.663694 | − | 0.748004i | \(-0.731012\pi\) | ||||
−0.663694 | + | 0.748004i | \(0.731012\pi\) | |||||||
\(492\) | 13.6204 | + | 3.69198i | 0.614054 | + | 0.166447i | ||||
\(493\) | −0.154527 | −0.00695954 | ||||||||
\(494\) | −5.27556 | + | 21.9770i | −0.237359 | + | 0.988793i | ||||
\(495\) | −0.182217 | − | 0.415873i | −0.00819005 | − | 0.0186921i | ||||
\(496\) | −5.98023 | + | 4.34593i | −0.268520 | + | 0.195138i | ||||
\(497\) | − | 20.2750i | − | 0.909457i | ||||||
\(498\) | −1.01836 | + | 34.9723i | −0.0456337 | + | 1.56714i | ||||
\(499\) | − | 39.5774i | − | 1.77173i | −0.463946 | − | 0.885864i | \(-0.653567\pi\) | ||
0.463946 | − | 0.885864i | \(-0.346433\pi\) | |||||||
\(500\) | −0.411483 | + | 0.807694i | −0.0184021 | + | 0.0361212i | ||||
\(501\) | 7.72344 | + | 36.8721i | 0.345058 | + | 1.64732i | ||||
\(502\) | 16.7037 | + | 4.00970i | 0.745522 | + | 0.178962i | ||||
\(503\) | −6.34209 | −0.282780 | −0.141390 | − | 0.989954i | \(-0.545157\pi\) | ||||
−0.141390 | + | 0.989954i | \(0.545157\pi\) | |||||||
\(504\) | −6.93468 | + | 22.9193i | −0.308895 | + | 1.02091i | ||||
\(505\) | −0.856240 | −0.0381022 | ||||||||
\(506\) | 40.1511 | + | 9.63822i | 1.78493 | + | 0.428471i | ||||
\(507\) | 5.42937 | + | 25.9201i | 0.241127 | + | 1.15115i | ||||
\(508\) | −6.29026 | + | 12.3471i | −0.279085 | + | 0.547812i | ||||
\(509\) | − | 27.5700i | − | 1.22202i | −0.791623 | − | 0.611009i | \(-0.790764\pi\) | ||
0.791623 | − | 0.611009i | \(-0.209236\pi\) | |||||||
\(510\) | −0.000149632 | 0.00513865i | −6.62584e−6 | 0.000227543i | ||||||
\(511\) | − | 14.1157i | − | 0.624441i | ||||||
\(512\) | 11.8179 | − | 19.2960i | 0.522282 | − | 0.852773i | ||||
\(513\) | 12.7122 | − | 9.06460i | 0.561255 | − | 0.400212i | ||||
\(514\) | 7.39548 | − | 30.8082i | 0.326201 | − | 1.35889i | ||||
\(515\) | 0.652109 | 0.0287354 | ||||||||
\(516\) | −1.15996 | − | 0.314423i | −0.0510645 | − | 0.0138417i | ||||
\(517\) | −1.52673 | −0.0671456 | ||||||||
\(518\) | 0.492168 | − | 2.05028i | 0.0216246 | − | 0.0900842i | ||||
\(519\) | 43.8891 | − | 9.19326i | 1.92652 | − | 0.403539i | ||||
\(520\) | −0.442867 | + | 0.518620i | −0.0194210 | + | 0.0227430i | ||||
\(521\) | − | 27.0474i | − | 1.18497i | −0.805581 | − | 0.592485i | \(-0.798147\pi\) | ||
0.805581 | − | 0.592485i | \(-0.201853\pi\) | |||||||
\(522\) | 2.49859 | + | 13.9389i | 0.109360 | + | 0.610089i | ||||
\(523\) | 5.32931i | 0.233035i | 0.993189 | + | 0.116517i | \(0.0371730\pi\) | ||||
−0.993189 | + | 0.116517i | \(0.962827\pi\) | |||||||
\(524\) | 1.48375 | + | 0.755901i | 0.0648177 | + | 0.0330217i | ||||
\(525\) | −23.9102 | + | 5.00837i | −1.04353 | + | 0.218583i | ||||
\(526\) | −36.0917 | − | 8.66378i | −1.57367 | − | 0.377759i | ||||
\(527\) | −0.0855620 | −0.00372714 | ||||||||
\(528\) | −15.5261 | + | 17.1450i | −0.675685 | + | 0.746142i | ||||
\(529\) | 53.4845 | 2.32541 | ||||||||
\(530\) | −0.180412 | − | 0.0433077i | −0.00783660 | − | 0.00188117i | ||||
\(531\) | 0.623105 | − | 0.273017i | 0.0270405 | − | 0.0118479i | ||||
\(532\) | −15.1107 | − | 7.69820i | −0.655131 | − | 0.333759i | ||||
\(533\) | 21.6675i | 0.938525i | ||||||||
\(534\) | −1.71288 | − | 0.0498775i | −0.0741237 | − | 0.00215841i | ||||
\(535\) | − | 0.0299061i | − | 0.00129295i | ||||||
\(536\) | −1.83673 | + | 2.15091i | −0.0793348 | + | 0.0929051i | ||||
\(537\) | 0.666218 | + | 3.18056i | 0.0287494 | + | 0.137251i | ||||
\(538\) | −5.31271 | + | 22.1318i | −0.229047 | + | 0.954170i | ||||
\(539\) | −3.21721 | −0.138575 | ||||||||
\(540\) | 0.465944 | − | 0.0695910i | 0.0200511 | − | 0.00299472i | ||||
\(541\) | −18.5591 | −0.797920 | −0.398960 | − | 0.916968i | \(-0.630629\pi\) | ||||
−0.398960 | + | 0.916968i | \(0.630629\pi\) | |||||||
\(542\) | 4.45267 | − | 18.5490i | 0.191259 | − | 0.796749i | ||||
\(543\) | 3.86012 | + | 18.4284i | 0.165653 | + | 0.790838i | ||||
\(544\) | 0.241941 | − | 0.100255i | 0.0103731 | − | 0.00429841i | ||||
\(545\) | 0.517309i | 0.0221591i | ||||||||
\(546\) | −36.7504 | − | 1.07014i | −1.57277 | − | 0.0457976i | ||||
\(547\) | 16.1107i | 0.688845i | 0.938815 | + | 0.344423i | \(0.111925\pi\) | ||||
−0.938815 | + | 0.344423i | \(0.888075\pi\) | |||||||
\(548\) | −4.46912 | + | 8.77236i | −0.190911 | + | 0.374737i | ||||
\(549\) | 16.8107 | − | 7.36570i | 0.717463 | − | 0.314360i | ||||
\(550\) | −22.9457 | − | 5.50810i | −0.978409 | − | 0.234866i | ||||
\(551\) | −10.0292 | −0.427256 | ||||||||
\(552\) | −20.5516 | + | 37.5933i | −0.874736 | + | 1.60008i | ||||
\(553\) | −43.1909 | −1.83666 | ||||||||
\(554\) | 18.6897 | + | 4.48645i | 0.794051 | + | 0.190611i | ||||
\(555\) | −0.0406029 | + | 0.00850491i | −0.00172350 | + | 0.000361014i | ||||
\(556\) | −5.72813 | + | 11.2437i | −0.242927 | + | 0.476837i | ||||
\(557\) | 0.882960i | 0.0374122i | 0.999825 | + | 0.0187061i | \(0.00595469\pi\) | ||||
−0.999825 | + | 0.0187061i | \(0.994045\pi\) | |||||||
\(558\) | 1.38348 | + | 7.71800i | 0.0585673 | + | 0.326729i | ||||
\(559\) | − | 1.84529i | − | 0.0780473i | ||||||
\(560\) | −0.300826 | − | 0.413953i | −0.0127122 | − | 0.0174927i | ||||
\(561\) | −0.262024 | + | 0.0548851i | −0.0110627 | + | 0.00231725i | ||||
\(562\) | 4.70908 | − | 19.6172i | 0.198640 | − | 0.827500i | ||||
\(563\) | 4.74187 | 0.199846 | 0.0999230 | − | 0.994995i | \(-0.468140\pi\) | ||||
0.0999230 | + | 0.994995i | \(0.468140\pi\) | |||||||
\(564\) | 0.414445 | − | 1.52896i | 0.0174513 | − | 0.0643810i | ||||
\(565\) | −0.434676 | −0.0182870 | ||||||||
\(566\) | 0.678753 | − | 2.82756i | 0.0285301 | − | 0.118851i | ||||
\(567\) | 18.6719 | + | 17.2167i | 0.784145 | + | 0.723035i | ||||
\(568\) | 15.4535 | + | 13.1963i | 0.648414 | + | 0.553702i | ||||
\(569\) | − | 29.6251i | − | 1.24195i | −0.783830 | − | 0.620975i | \(-0.786737\pi\) | ||
0.783830 | − | 0.620975i | \(-0.213263\pi\) | |||||||
\(570\) | −0.00971149 | + | 0.333510i | −0.000406770 | + | 0.0139692i | ||||
\(571\) | − | 7.09982i | − | 0.297118i | −0.988904 | − | 0.148559i | \(-0.952536\pi\) | ||
0.988904 | − | 0.148559i | \(-0.0474635\pi\) | |||||||
\(572\) | −31.6445 | − | 16.1214i | −1.32312 | − | 0.674072i | ||||
\(573\) | −1.42114 | − | 6.78458i | −0.0593689 | − | 0.283430i | ||||
\(574\) | −15.8088 | − | 3.79490i | −0.659849 | − | 0.158396i | ||||
\(575\) | −43.7097 | −1.82282 | ||||||||
\(576\) | −12.9554 | − | 20.2029i | −0.539809 | − | 0.841788i | ||||
\(577\) | −45.0273 | −1.87451 | −0.937256 | − | 0.348641i | \(-0.886643\pi\) | ||||
−0.937256 | + | 0.348641i | \(0.886643\pi\) | |||||||
\(578\) | −23.3746 | − | 5.61104i | −0.972254 | − | 0.233388i | ||||
\(579\) | 6.78553 | + | 32.3945i | 0.281997 | + | 1.34627i | ||||
\(580\) | −0.269647 | − | 0.137373i | −0.0111965 | − | 0.00570410i | ||||
\(581\) | − | 40.3077i | − | 1.67225i | ||||||
\(582\) | 0.207300 | − | 7.11905i | 0.00859285 | − | 0.295094i | ||||
\(583\) | − | 9.66194i | − | 0.400157i | ||||||
\(584\) | 10.7589 | + | 9.18740i | 0.445207 | + | 0.380177i | ||||
\(585\) | 0.290297 | + | 0.662543i | 0.0120023 | + | 0.0273928i | ||||
\(586\) | 10.0946 | − | 42.0521i | 0.417003 | − | 1.73716i | ||||
\(587\) | 34.7911 | 1.43598 | 0.717990 | − | 0.696053i | \(-0.245062\pi\) | ||||
0.717990 | + | 0.696053i | \(0.245062\pi\) | |||||||
\(588\) | 0.873338 | − | 3.22190i | 0.0360158 | − | 0.132869i | ||||
\(589\) | −5.55317 | −0.228814 | ||||||||
\(590\) | −0.00339341 | + | 0.0141363i | −0.000139705 | + | 0.000581984i | ||||
\(591\) | −5.40377 | + | 1.13190i | −0.222281 | + | 0.0465603i | ||||
\(592\) | 1.24238 | + | 1.70958i | 0.0510615 | + | 0.0702634i | ||||
\(593\) | − | 22.8534i | − | 0.938475i | −0.883072 | − | 0.469237i | \(-0.844529\pi\) | ||
0.883072 | − | 0.469237i | \(-0.155471\pi\) | |||||||
\(594\) | 9.18759 | + | 22.7481i | 0.376971 | + | 0.933366i | ||||
\(595\) | − | 0.00592261i | − | 0.000242803i | ||||||
\(596\) | −15.8893 | + | 31.1888i | −0.650850 | + | 1.27754i | ||||
\(597\) | 29.7319 | − | 6.22782i | 1.21685 | − | 0.254888i | ||||
\(598\) | −63.9662 | − | 15.3550i | −2.61577 | − | 0.627914i | ||||
\(599\) | 27.3056 | 1.11568 | 0.557838 | − | 0.829950i | \(-0.311631\pi\) | ||||
0.557838 | + | 0.829950i | \(0.311631\pi\) | |||||||
\(600\) | 11.7450 | − | 21.4840i | 0.479486 | − | 0.877081i | ||||
\(601\) | 35.2624 | 1.43838 | 0.719192 | − | 0.694812i | \(-0.244512\pi\) | ||||
0.719192 | + | 0.694812i | \(0.244512\pi\) | |||||||
\(602\) | 1.34634 | + | 0.323188i | 0.0548727 | + | 0.0131721i | ||||
\(603\) | 1.20397 | + | 2.74781i | 0.0490294 | + | 0.111899i | ||||
\(604\) | −13.3753 | + | 26.2542i | −0.544234 | + | 1.06827i | ||||
\(605\) | 0.00662160i | 0.000269206i | ||||||||
\(606\) | 46.2460 | + | 1.34664i | 1.87862 | + | 0.0547035i | ||||
\(607\) | − | 23.8874i | − | 0.969560i | −0.874636 | − | 0.484780i | \(-0.838900\pi\) | ||
0.874636 | − | 0.484780i | \(-0.161100\pi\) | |||||||
\(608\) | 15.7025 | − | 6.50680i | 0.636822 | − | 0.263886i | ||||
\(609\) | −3.34476 | − | 15.9680i | −0.135536 | − | 0.647058i | ||||
\(610\) | −0.0915505 | + | 0.381383i | −0.00370677 | + | 0.0154417i | ||||
\(611\) | 2.43230 | 0.0984003 | ||||||||
\(612\) | 0.0161635 | − | 0.277306i | 0.000653370 | − | 0.0112094i | ||||
\(613\) | −32.2630 | −1.30309 | −0.651545 | − | 0.758610i | \(-0.725879\pi\) | ||||
−0.651545 | + | 0.758610i | \(0.725879\pi\) | |||||||
\(614\) | −5.93827 | + | 24.7377i | −0.239649 | + | 0.998334i | ||||
\(615\) | 0.0655778 | + | 0.313072i | 0.00264435 | + | 0.0126243i | ||||
\(616\) | 17.3047 | − | 20.2646i | 0.697225 | − | 0.816485i | ||||
\(617\) | 42.1094i | 1.69526i | 0.530587 | + | 0.847630i | \(0.321971\pi\) | ||||
−0.530587 | + | 0.847630i | \(0.678029\pi\) | |||||||
\(618\) | −35.2208 | − | 1.02560i | −1.41679 | − | 0.0412555i | ||||
\(619\) | − | 8.85623i | − | 0.355962i | −0.984034 | − | 0.177981i | \(-0.943043\pi\) | ||
0.984034 | − | 0.177981i | \(-0.0569566\pi\) | |||||||
\(620\) | −0.149304 | − | 0.0760637i | −0.00599621 | − | 0.00305479i | ||||
\(621\) | 26.3834 | + | 37.0000i | 1.05873 | + | 1.48476i | ||||
\(622\) | 36.9673 | + | 8.87397i | 1.48226 | + | 0.355814i | ||||
\(623\) | 1.97420 | 0.0790948 | ||||||||
\(624\) | 24.7352 | − | 27.3145i | 0.990200 | − | 1.09345i | ||||
\(625\) | 24.9692 | 0.998767 | ||||||||
\(626\) | 20.1040 | + | 4.82594i | 0.803518 | + | 0.192884i | ||||
\(627\) | −17.0060 | + | 3.56217i | −0.679153 | + | 0.142259i | ||||
\(628\) | 21.9597 | + | 11.1875i | 0.876287 | + | 0.446428i | ||||
\(629\) | 0.0244598i | 0.000975275i | ||||||||
\(630\) | −0.534241 | + | 0.0957645i | −0.0212847 | + | 0.00381535i | ||||
\(631\) | − | 45.1892i | − | 1.79895i | −0.436970 | − | 0.899476i | \(-0.643949\pi\) | ||
0.436970 | − | 0.899476i | \(-0.356051\pi\) | |||||||
\(632\) | 28.1114 | − | 32.9199i | 1.11821 | − | 1.30948i | ||||
\(633\) | −5.42541 | + | 1.13644i | −0.215641 | + | 0.0451694i | ||||
\(634\) | 5.42290 | − | 22.5908i | 0.215371 | − | 0.897195i | ||||
\(635\) | −0.314089 | −0.0124642 | ||||||||
\(636\) | 9.67605 | + | 2.62282i | 0.383680 | + | 0.104001i | ||||
\(637\) | 5.12546 | 0.203078 | ||||||||
\(638\) | 3.67849 | − | 15.3239i | 0.145633 | − | 0.606680i | ||||
\(639\) | 19.7420 | − | 8.65007i | 0.780981 | − | 0.342191i | ||||
\(640\) | 0.511309 | + | 0.0401392i | 0.0202113 | + | 0.00158664i | ||||
\(641\) | 15.8749i | 0.627021i | 0.949585 | + | 0.313510i | \(0.101505\pi\) | ||||
−0.949585 | + | 0.313510i | \(0.898495\pi\) | |||||||
\(642\) | −0.0470344 | + | 1.61525i | −0.00185630 | + | 0.0637487i | ||||
\(643\) | 11.1940i | 0.441449i | 0.975336 | + | 0.220725i | \(0.0708422\pi\) | ||||
−0.975336 | + | 0.220725i | \(0.929158\pi\) | |||||||
\(644\) | 22.4064 | − | 43.9811i | 0.882934 | − | 1.73310i | ||||
\(645\) | −0.00558485 | − | 0.0266624i | −0.000219903 | − | 0.00104983i | ||||
\(646\) | 0.191293 | + | 0.0459196i | 0.00752632 | + | 0.00180668i | ||||
\(647\) | 9.10556 | 0.357977 | 0.178988 | − | 0.983851i | \(-0.442718\pi\) | ||||
0.178988 | + | 0.983851i | \(0.442718\pi\) | |||||||
\(648\) | −25.2754 | + | 3.02584i | −0.992910 | + | 0.118866i | ||||
\(649\) | −0.757069 | −0.0297176 | ||||||||
\(650\) | 36.5557 | + | 8.77516i | 1.43383 | + | 0.344190i | ||||
\(651\) | −1.85200 | − | 8.84155i | −0.0725856 | − | 0.346528i | ||||
\(652\) | 19.1232 | − | 37.5366i | 0.748921 | − | 1.47005i | ||||
\(653\) | 23.2914i | 0.911461i | 0.890118 | + | 0.455731i | \(0.150622\pi\) | ||||
−0.890118 | + | 0.455731i | \(0.849378\pi\) | |||||||
\(654\) | 0.813591 | − | 27.9402i | 0.0318139 | − | 1.09255i | ||||
\(655\) | 0.0377441i | 0.00147478i | ||||||||
\(656\) | 13.1819 | − | 9.57946i | 0.514665 | − | 0.374015i | ||||
\(657\) | 13.7446 | − | 6.02229i | 0.536229 | − | 0.234952i | ||||
\(658\) | −0.425998 | + | 1.77463i | −0.0166071 | + | 0.0691823i | ||||
\(659\) | −31.9785 | −1.24571 | −0.622853 | − | 0.782339i | \(-0.714026\pi\) | ||||
−0.622853 | + | 0.782339i | \(0.714026\pi\) | |||||||
\(660\) | −0.506021 | − | 0.137163i | −0.0196968 | − | 0.00533908i | ||||
\(661\) | 0.528143 | 0.0205424 | 0.0102712 | − | 0.999947i | \(-0.496731\pi\) | ||||
0.0102712 | + | 0.999947i | \(0.496731\pi\) | |||||||
\(662\) | −5.95252 | + | 24.7971i | −0.231351 | + | 0.963767i | ||||
\(663\) | 0.417441 | − | 0.0874396i | 0.0162121 | − | 0.00339587i | ||||
\(664\) | 30.7223 | + | 26.2348i | 1.19226 | + | 1.01811i | ||||
\(665\) | − | 0.384391i | − | 0.0149061i | ||||||
\(666\) | 2.20636 | − | 0.395498i | 0.0854948 | − | 0.0153252i | ||||
\(667\) | − | 29.1908i | − | 1.13027i | ||||||
\(668\) | 38.7601 | + | 19.7465i | 1.49967 | + | 0.764016i | ||||
\(669\) | −40.1193 | + | 8.40361i | −1.55110 | + | 0.324902i | ||||
\(670\) | −0.0623394 | − | 0.0149645i | −0.00240838 | − | 0.000578129i | ||||
\(671\) | −20.4249 | −0.788494 | ||||||||
\(672\) | 15.5967 | + | 22.8309i | 0.601657 | + | 0.880723i | ||||
\(673\) | 14.1935 | 0.547121 | 0.273561 | − | 0.961855i | \(-0.411799\pi\) | ||||
0.273561 | + | 0.961855i | \(0.411799\pi\) | |||||||
\(674\) | −30.1327 | − | 7.23333i | −1.16067 | − | 0.278617i | ||||
\(675\) | −15.0777 | − | 21.1449i | −0.580342 | − | 0.813868i | ||||
\(676\) | 27.2473 | + | 13.8813i | 1.04797 | + | 0.533895i | ||||
\(677\) | 5.83261i | 0.224165i | 0.993699 | + | 0.112083i | \(0.0357521\pi\) | ||||
−0.993699 | + | 0.112083i | \(0.964248\pi\) | |||||||
\(678\) | 23.4771 | + | 0.683631i | 0.901633 | + | 0.0262547i | ||||
\(679\) | 8.20515i | 0.314885i | ||||||||
\(680\) | 0.00451418 | + | 0.00385482i | 0.000173111 | + | 0.000147825i | ||||
\(681\) | 9.12825 | + | 43.5787i | 0.349795 | + | 1.66994i | ||||
\(682\) | 2.03679 | − | 8.48489i | 0.0779927 | − | 0.324903i | ||||
\(683\) | 20.2308 | 0.774110 | 0.387055 | − | 0.922057i | \(-0.373492\pi\) | ||||
0.387055 | + | 0.922057i | \(0.373492\pi\) | |||||||
\(684\) | 1.04905 | − | 17.9978i | 0.0401113 | − | 0.688163i | ||||
\(685\) | −0.223155 | −0.00852630 | ||||||||
\(686\) | 5.62315 | − | 23.4250i | 0.214693 | − | 0.894372i | ||||
\(687\) | −4.23928 | − | 20.2385i | −0.161739 | − | 0.772149i | ||||
\(688\) | −1.12262 | + | 0.815822i | −0.0427994 | + | 0.0311029i | ||||
\(689\) | 15.3928i | 0.586420i | ||||||||
\(690\) | −0.970714 | − | 0.0282662i | −0.0369544 | − | 0.00107608i | ||||
\(691\) | 27.2492i | 1.03661i | 0.855196 | + | 0.518305i | \(0.173437\pi\) | ||||
−0.855196 | + | 0.518305i | \(0.826563\pi\) | |||||||
\(692\) | 23.5044 | − | 46.1364i | 0.893503 | − | 1.75384i | ||||
\(693\) | −11.3431 | − | 25.8883i | −0.430889 | − | 0.983415i | ||||
\(694\) | 12.0617 | + | 2.89540i | 0.457856 | + | 0.109908i | ||||
\(695\) | −0.286020 | −0.0108494 | ||||||||
\(696\) | 14.3477 | + | 7.84367i | 0.543850 | + | 0.297314i | ||||
\(697\) | 0.188599 | 0.00714370 | ||||||||
\(698\) | 33.2835 | + | 7.98967i | 1.25980 | + | 0.302413i | ||||
\(699\) | −30.2162 | + | 6.32926i | −1.14288 | + | 0.239395i | ||||
\(700\) | −12.8049 | + | 25.1345i | −0.483980 | + | 0.949996i | ||||
\(701\) | − | 1.36934i | − | 0.0517193i | −0.999666 | − | 0.0258596i | \(-0.991768\pi\) | ||
0.999666 | − | 0.0258596i | \(-0.00823230\pi\) | |||||||
\(702\) | −14.6371 | − | 36.2409i | −0.552442 | − | 1.36782i | ||||
\(703\) | 1.58750i | 0.0598735i | ||||||||
\(704\) | 4.18261 | + | 26.3790i | 0.157638 | + | 0.994198i | ||||
\(705\) | 0.0351440 | − | 0.00736147i | 0.00132360 | − | 0.000277249i | ||||
\(706\) | 10.0492 | − | 41.8631i | 0.378206 | − | 1.57554i | ||||
\(707\) | −53.3014 | −2.00461 | ||||||||
\(708\) | 0.205513 | − | 0.758175i | 0.00772364 | − | 0.0284939i | ||||
\(709\) | −9.08190 | −0.341078 | −0.170539 | − | 0.985351i | \(-0.554551\pi\) | ||||
−0.170539 | + | 0.985351i | \(0.554551\pi\) | |||||||
\(710\) | −0.107514 | + | 0.447885i | −0.00403494 | + | 0.0168088i | ||||
\(711\) | −18.4269 | − | 42.0555i | −0.691061 | − | 1.57720i | ||||
\(712\) | −1.28494 | + | 1.50473i | −0.0481551 | + | 0.0563921i | ||||
\(713\) | − | 16.1630i | − | 0.605310i | ||||||
\(714\) | −0.00931470 | + | 0.319884i | −0.000348594 | + | 0.0119713i | ||||
\(715\) | − | 0.804986i | − | 0.0301048i | ||||||
\(716\) | 3.34342 | + | 1.70332i | 0.124949 | + | 0.0636560i | ||||
\(717\) | 7.90868 | + | 37.7564i | 0.295355 | + | 1.41004i | ||||
\(718\) | −23.8716 | − | 5.73035i | −0.890880 | − | 0.213855i | ||||
\(719\) | −3.80251 | −0.141810 | −0.0709048 | − | 0.997483i | \(-0.522589\pi\) | ||||
−0.0709048 | + | 0.997483i | \(0.522589\pi\) | |||||||
\(720\) | 0.274727 | − | 0.469526i | 0.0102385 | − | 0.0174982i | ||||
\(721\) | 40.5942 | 1.51181 | ||||||||
\(722\) | −13.7125 | − | 3.29166i | −0.510325 | − | 0.122503i | ||||
\(723\) | 6.87759 | + | 32.8340i | 0.255780 | + | 1.22111i | ||||
\(724\) | 19.3720 | + | 9.86915i | 0.719955 | + | 0.366784i | ||||
\(725\) | 16.6821i | 0.619558i | ||||||||
\(726\) | 0.0104140 | − | 0.357636i | 0.000386500 | − | 0.0132731i | ||||
\(727\) | − | 7.17785i | − | 0.266212i | −0.991102 | − | 0.133106i | \(-0.957505\pi\) | ||
0.991102 | − | 0.133106i | \(-0.0424950\pi\) | |||||||
\(728\) | −27.5687 | + | 32.2844i | −1.02177 | + | 1.19654i | ||||
\(729\) | −8.79803 | + | 25.5264i | −0.325853 | + | 0.945420i | ||||
\(730\) | −0.0748528 | + | 0.311823i | −0.00277043 | + | 0.0115411i | ||||
\(731\) | −0.0160618 | −0.000594067 | ||||||||
\(732\) | 5.54451 | − | 20.4547i | 0.204931 | − | 0.756028i | ||||
\(733\) | −2.44611 | −0.0903492 | −0.0451746 | − | 0.998979i | \(-0.514384\pi\) | ||||
−0.0451746 | + | 0.998979i | \(0.514384\pi\) | |||||||
\(734\) | 6.67107 | − | 27.7905i | 0.246234 | − | 1.02576i | ||||
\(735\) | 0.0740571 | − | 0.0155124i | 0.00273164 | − | 0.000572185i | ||||
\(736\) | 18.9387 | + | 45.7037i | 0.698088 | + | 1.68466i | ||||
\(737\) | − | 3.33857i | − | 0.122978i | ||||||
\(738\) | −3.04951 | − | 17.0123i | −0.112254 | − | 0.626232i | ||||
\(739\) | 49.4937i | 1.82065i | 0.413890 | + | 0.910327i | \(0.364170\pi\) | ||||
−0.413890 | + | 0.910327i | \(0.635830\pi\) | |||||||
\(740\) | −0.0217445 | + | 0.0426819i | −0.000799344 | + | 0.00156902i | ||||
\(741\) | 27.0929 | − | 5.67503i | 0.995283 | − | 0.208478i | ||||
\(742\) | −11.2308 | − | 2.69593i | −0.412294 | − | 0.0989707i | ||||
\(743\) | −47.0335 | −1.72549 | −0.862746 | − | 0.505638i | \(-0.831257\pi\) | ||||
−0.862746 | + | 0.505638i | \(0.831257\pi\) | |||||||
\(744\) | 7.94438 | + | 4.34306i | 0.291255 | + | 0.159224i | ||||
\(745\) | −0.793392 | −0.0290676 | ||||||||
\(746\) | 12.4463 | + | 2.98772i | 0.455691 | + | 0.109388i | ||||
\(747\) | 39.2481 | − | 17.1968i | 1.43601 | − | 0.629198i | ||||
\(748\) | −0.140325 | + | 0.275441i | −0.00513078 | + | 0.0100711i | ||||
\(749\) | − | 1.86167i | − | 0.0680240i | ||||||
\(750\) | 1.10972 | + | 0.0323141i | 0.0405214 | + | 0.00117994i | ||||
\(751\) | − | 43.9718i | − | 1.60455i | −0.596952 | − | 0.802277i | \(-0.703622\pi\) | ||
0.596952 | − | 0.802277i | \(-0.296378\pi\) | |||||||
\(752\) | −1.07535 | − | 1.47974i | −0.0392139 | − | 0.0539604i | ||||
\(753\) | −4.31332 | − | 20.5920i | −0.157186 | − | 0.750415i | ||||
\(754\) | −5.86035 | + | 24.4131i | −0.213421 | + | 0.889074i | ||||
\(755\) | −0.667864 | −0.0243061 | ||||||||
\(756\) | 29.0053 | − | 4.33208i | 1.05491 | − | 0.157556i | ||||
\(757\) | 18.1609 | 0.660068 | 0.330034 | − | 0.943969i | \(-0.392940\pi\) | ||||
0.330034 | + | 0.943969i | \(0.392940\pi\) | |||||||
\(758\) | 7.18002 | − | 29.9107i | 0.260790 | − | 1.08640i | ||||
\(759\) | −10.3680 | − | 49.4975i | −0.376336 | − | 1.79665i | ||||
\(760\) | 0.292981 | + | 0.250186i | 0.0106275 | + | 0.00907522i | ||||
\(761\) | 33.2514i | 1.20536i | 0.797982 | + | 0.602681i | \(0.205901\pi\) | ||||
−0.797982 | + | 0.602681i | \(0.794099\pi\) | |||||||
\(762\) | 16.9641 | + | 0.493979i | 0.614546 | + | 0.0178950i | ||||
\(763\) | 32.2028i | 1.16582i | ||||||||
\(764\) | −7.13198 | − | 3.63342i | −0.258026 | − | 0.131453i | ||||
\(765\) | 0.00576692 | − | 0.00252681i | 0.000208504 | − | 9.13570e-5i | ||||
\(766\) | −20.5837 | − | 4.94108i | −0.743718 | − | 0.178529i | ||||
\(767\) | 1.20612 | 0.0435503 | ||||||||
\(768\) | −27.5530 | − | 2.97210i | −0.994232 | − | 0.107246i | ||||
\(769\) | −43.4416 | −1.56655 | −0.783273 | − | 0.621678i | \(-0.786451\pi\) | ||||
−0.783273 | + | 0.621678i | \(0.786451\pi\) | |||||||
\(770\) | 0.587326 | + | 0.140987i | 0.0211658 | + | 0.00508082i | ||||
\(771\) | −37.9799 | + | 7.95548i | −1.36781 | + | 0.286510i | ||||
\(772\) | 34.0532 | + | 17.3486i | 1.22560 | + | 0.624388i | ||||
\(773\) | − | 6.95049i | − | 0.249992i | −0.992157 | − | 0.124996i | \(-0.960108\pi\) | ||
0.992157 | − | 0.124996i | \(-0.0398918\pi\) | |||||||
\(774\) | 0.259708 | + | 1.44883i | 0.00933501 | + | 0.0520772i | ||||
\(775\) | 9.23693i | 0.331800i | ||||||||
\(776\) | −6.25392 | − | 5.34044i | −0.224503 | − | 0.191711i | ||||
\(777\) | −2.52755 | + | 0.529436i | −0.0906754 | + | 0.0189934i | ||||
\(778\) | −8.63393 | + | 35.9674i | −0.309541 | + | 1.28949i | ||||
\(779\) | 12.2405 | 0.438562 | ||||||||
\(780\) | 0.806162 | + | 0.218520i | 0.0288652 | + | 0.00782428i | ||||
\(781\) | −23.9864 | −0.858301 | ||||||||
\(782\) | −0.133654 | + | 0.556776i | −0.00477944 | + | 0.0199103i | ||||
\(783\) | 14.1213 | − | 10.0694i | 0.504654 | − | 0.359851i | ||||
\(784\) | −2.26602 | − | 3.11817i | −0.0809294 | − | 0.111363i | ||||
\(785\) | 0.558619i | 0.0199380i | ||||||||
\(786\) | 0.0593615 | − | 2.03858i | 0.00211735 | − | 0.0727137i | ||||
\(787\) | 6.96183i | 0.248162i | 0.992272 | + | 0.124081i | \(0.0395983\pi\) | ||||
−0.992272 | + | 0.124081i | \(0.960402\pi\) | |||||||
\(788\) | −2.89394 | + | 5.68047i | −0.103092 | + | 0.202358i | ||||
\(789\) | 9.31981 | + | 44.4933i | 0.331794 | + | 1.58400i | ||||
\(790\) | 0.954110 | + | 0.229033i | 0.0339457 | + | 0.00814863i | ||||
\(791\) | −27.0588 | −0.962101 | ||||||||
\(792\) | 27.1147 | + | 8.20411i | 0.963481 | + | 0.291520i | ||||
\(793\) | 32.5397 | 1.15552 | ||||||||
\(794\) | 29.7346 | + | 7.13776i | 1.05524 | + | 0.253310i | ||||
\(795\) | 0.0465871 | + | 0.222409i | 0.00165227 | + | 0.00788804i | ||||
\(796\) | 15.9227 | − | 31.2543i | 0.564364 | − | 1.10778i | ||||
\(797\) | − | 39.3251i | − | 1.39297i | −0.717574 | − | 0.696483i | \(-0.754747\pi\) | ||
0.717574 | − | 0.696483i | \(-0.245253\pi\) | |||||||
\(798\) | −0.604546 | + | 20.7612i | −0.0214007 | + | 0.734938i | ||||
\(799\) | − | 0.0211713i | − | 0.000748986i | ||||||
\(800\) | −10.8232 | − | 26.1190i | −0.382657 | − | 0.923446i | ||||
\(801\) | 0.842270 | + | 1.92231i | 0.0297602 | + | 0.0679214i | ||||
\(802\) | 10.0509 | − | 41.8704i | 0.354911 | − | 1.47849i | ||||
\(803\) | −16.6996 | −0.589317 | ||||||||
\(804\) | 3.34345 | + | 0.906284i | 0.117914 | + | 0.0319622i | ||||
\(805\) | 1.11881 | 0.0394328 | ||||||||
\(806\) | −3.24489 | + | 13.5176i | −0.114296 | + | 0.476138i | ||||
\(807\) | 27.2837 | − | 5.71500i | 0.960432 | − | 0.201178i | ||||
\(808\) | 34.6920 | − | 40.6261i | 1.22046 | − | 1.42922i | ||||
\(809\) | − | 1.17193i | − | 0.0412029i | −0.999788 | − | 0.0206014i | \(-0.993442\pi\) | ||
0.999788 | − | 0.0206014i | \(-0.00655811\pi\) | |||||||
\(810\) | −0.321175 | − | 0.479341i | −0.0112849 | − | 0.0168423i | ||||
\(811\) | − | 18.4901i | − | 0.649274i | −0.945839 | − | 0.324637i | \(-0.894758\pi\) | ||
0.945839 | − | 0.324637i | \(-0.105242\pi\) | |||||||
\(812\) | −16.7857 | − | 8.55154i | −0.589062 | − | 0.300100i | ||||
\(813\) | −22.8669 | + | 4.78984i | −0.801978 | + | 0.167987i | ||||
\(814\) | −2.42559 | − | 0.582261i | −0.0850171 | − | 0.0204083i | ||||
\(815\) | 0.954870 | 0.0334476 | ||||||||
\(816\) | −0.237751 | − | 0.215300i | −0.00832295 | − | 0.00753702i | ||||
\(817\) | −1.04245 | −0.0364706 | ||||||||
\(818\) | 12.9049 | + | 3.09780i | 0.451208 | + | 0.108312i | ||||
\(819\) | 18.0712 | + | 41.2437i | 0.631457 | + | 1.44117i | ||||
\(820\) | 0.329102 | + | 0.167663i | 0.0114928 | + | 0.00585503i | ||||
\(821\) | 21.7270i | 0.758278i | 0.925340 | + | 0.379139i | \(0.123780\pi\) | ||||
−0.925340 | + | 0.379139i | \(0.876220\pi\) | |||||||
\(822\) | 12.0527 | + | 0.350963i | 0.420387 | + | 0.0122413i | ||||
\(823\) | − | 4.79475i | − | 0.167135i | −0.996502 | − | 0.0835673i | \(-0.973369\pi\) | ||
0.996502 | − | 0.0835673i | \(-0.0266314\pi\) | |||||||
\(824\) | −26.4213 | + | 30.9407i | −0.920429 | + | 1.07787i | ||||
\(825\) | 5.92518 | + | 28.2871i | 0.206288 | + | 0.984831i | ||||
\(826\) | −0.211242 | + | 0.879995i | −0.00735004 | + | 0.0306189i | ||||
\(827\) | −54.0235 | −1.87858 | −0.939290 | − | 0.343124i | \(-0.888515\pi\) | ||||
−0.939290 | + | 0.343124i | \(0.888515\pi\) | |||||||
\(828\) | 52.3843 | + | 3.05335i | 1.82048 | + | 0.106111i | ||||
\(829\) | 2.34284 | 0.0813702 | 0.0406851 | − | 0.999172i | \(-0.487046\pi\) | ||||
0.0406851 | + | 0.999172i | \(0.487046\pi\) | |||||||
\(830\) | −0.213744 | + | 0.890419i | −0.00741917 | + | 0.0309069i | ||||
\(831\) | −4.82617 | − | 23.0404i | −0.167418 | − | 0.799263i | ||||
\(832\) | −6.66348 | − | 42.0255i | −0.231015 | − | 1.45697i | ||||
\(833\) | − | 0.0446131i | − | 0.00154575i | ||||||
\(834\) | 15.4481 | + | 0.449834i | 0.534925 | + | 0.0155765i | ||||
\(835\) | 0.985995i | 0.0341218i | ||||||||
\(836\) | −9.10739 | + | 17.8768i | −0.314986 | + | 0.618281i | ||||
\(837\) | 7.81899 | − | 5.57545i | 0.270264 | − | 0.192716i | ||||
\(838\) | −19.9832 | − | 4.79696i | −0.690310 | − | 0.165708i | ||||
\(839\) | 16.2551 | 0.561190 | 0.280595 | − | 0.959826i | \(-0.409468\pi\) | ||||
0.280595 | + | 0.959826i | \(0.409468\pi\) | |||||||
\(840\) | −0.300627 | + | 0.549912i | −0.0103726 | + | 0.0189738i | ||||
\(841\) | 17.8591 | 0.615832 | ||||||||
\(842\) | −10.6691 | − | 2.56111i | −0.367682 | − | 0.0882617i | ||||
\(843\) | −24.1837 | + | 5.06566i | −0.832931 | + | 0.174470i | ||||
\(844\) | −2.90553 | + | 5.70322i | −0.100012 | + | 0.196313i | ||||
\(845\) | 0.693128i | 0.0238443i | ||||||||
\(846\) | −1.90973 | + | 0.342325i | −0.0656577 | + | 0.0117694i | ||||
\(847\) | 0.412198i | 0.0141633i | ||||||||
\(848\) | 9.36452 | − | 6.80534i | 0.321579 | − | 0.233696i | ||||
\(849\) | −3.48577 | + | 0.730149i | −0.119631 | + | 0.0250587i | ||||
\(850\) | 0.0763810 | − | 0.318189i | 0.00261985 | − | 0.0109138i | ||||
\(851\) | −4.62056 | −0.158391 | ||||||||
\(852\) | 6.51131 | − | 24.0214i | 0.223074 | − | 0.822961i | ||||
\(853\) | 43.8622 | 1.50181 | 0.750906 | − | 0.660409i | \(-0.229617\pi\) | ||||
0.750906 | + | 0.660409i | \(0.229617\pi\) | |||||||
\(854\) | −5.69907 | + | 23.7413i | −0.195018 | + | 0.812410i | ||||
\(855\) | 0.374287 | − | 0.163996i | 0.0128003 | − | 0.00560854i | ||||
\(856\) | 1.41896 | + | 1.21170i | 0.0484989 | + | 0.0414149i | ||||
\(857\) | − | 4.50112i | − | 0.153755i | −0.997041 | − | 0.0768777i | \(-0.975505\pi\) | ||
0.997041 | − | 0.0768777i | \(-0.0244951\pi\) | |||||||
\(858\) | −1.26603 | + | 43.4777i | −0.0432215 | + | 1.48431i | ||||
\(859\) | − | 4.27027i | − | 0.145700i | −0.997343 | − | 0.0728499i | \(-0.976791\pi\) | ||
0.997343 | − | 0.0728499i | \(-0.0232094\pi\) | |||||||
\(860\) | −0.0280276 | − | 0.0142788i | −0.000955733 | − | 0.000486902i | ||||
\(861\) | 4.08225 | + | 19.4889i | 0.139123 | + | 0.664179i | ||||
\(862\) | 33.3375 | + | 8.00264i | 1.13548 | + | 0.272571i | ||||
\(863\) | 11.8273 | 0.402606 | 0.201303 | − | 0.979529i | \(-0.435482\pi\) | ||||
0.201303 | + | 0.979529i | \(0.435482\pi\) | |||||||
\(864\) | −15.5766 | + | 24.9273i | −0.529927 | + | 0.848043i | ||||
\(865\) | 1.17364 | 0.0399048 | ||||||||
\(866\) | −42.4535 | − | 10.1909i | −1.44263 | − | 0.346302i | ||||
\(867\) | 6.03592 | + | 28.8158i | 0.204990 | + | 0.978635i | ||||
\(868\) | −9.29427 | − | 4.73501i | −0.315468 | − | 0.160717i | ||||
\(869\) | 51.0972i | 1.73335i | ||||||||
\(870\) | −0.0107880 | + | 0.370479i | −0.000365747 | + | 0.0125604i | ||||
\(871\) | 5.31881i | 0.180221i | ||||||||
\(872\) | −24.5448 | − | 20.9596i | −0.831192 | − | 0.709783i | ||||
\(873\) | −7.98945 | + | 3.50063i | −0.270402 | + | 0.118478i | ||||
\(874\) | −8.67442 | + | 36.1361i | −0.293417 | + | 1.22232i | ||||
\(875\) | −1.27903 | −0.0432390 | ||||||||
\(876\) | 4.53326 | − | 16.7240i | 0.153165 | − | 0.565052i | ||||
\(877\) | 37.0994 | 1.25276 | 0.626380 | − | 0.779518i | \(-0.284536\pi\) | ||||
0.626380 | + | 0.779518i | \(0.284536\pi\) | |||||||
\(878\) | −12.1527 | + | 50.6261i | −0.410135 | + | 1.70855i | ||||
\(879\) | −51.8411 | + | 10.8589i | −1.74856 | + | 0.366263i | ||||
\(880\) | −0.489729 | + | 0.355893i | −0.0165088 | + | 0.0119972i | ||||
\(881\) | 6.46201i | 0.217711i | 0.994058 | + | 0.108855i | \(0.0347185\pi\) | ||||
−0.994058 | + | 0.108855i | \(0.965281\pi\) | |||||||
\(882\) | −4.02427 | + | 0.721363i | −0.135504 | + | 0.0242896i | ||||
\(883\) | − | 18.6252i | − | 0.626789i | −0.949623 | − | 0.313395i | \(-0.898534\pi\) | ||
0.949623 | − | 0.313395i | \(-0.101466\pi\) | |||||||
\(884\) | 0.223557 | − | 0.438816i | 0.00751903 | − | 0.0147590i | ||||
\(885\) | 0.0174270 | − | 0.00365037i | 0.000585804 | − | 0.000122706i | ||||
\(886\) | 27.5376 | + | 6.61037i | 0.925143 | + | 0.222080i | ||||
\(887\) | −3.54980 | −0.119190 | −0.0595952 | − | 0.998223i | \(-0.518981\pi\) | ||||
−0.0595952 | + | 0.998223i | \(0.518981\pi\) | |||||||
\(888\) | 1.24156 | − | 2.27108i | 0.0416640 | − | 0.0762124i | ||||
\(889\) | −19.5522 | −0.655760 | ||||||||
\(890\) | −0.0436112 | − | 0.0104688i | −0.00146185 | − | 0.000350916i | ||||
\(891\) | 20.3684 | − | 22.0899i | 0.682366 | − | 0.740038i | ||||
\(892\) | −21.4855 | + | 42.1735i | −0.719388 | + | 1.41207i | ||||
\(893\) | − | 1.37406i | − | 0.0459813i | ||||||
\(894\) | 42.8516 | + | 1.24780i | 1.43317 | + | 0.0417325i | ||||
\(895\) | 0.0850511i | 0.00284294i | ||||||||
\(896\) | 31.8293 | + | 2.49869i | 1.06334 | + | 0.0834753i | ||||
\(897\) | 16.5177 | + | 78.8565i | 0.551511 | + | 2.63294i | ||||
\(898\) | −6.29971 | + | 26.2435i | −0.210224 | + | 0.875756i | ||||
\(899\) | −6.16873 | −0.205739 | ||||||||
\(900\) | −29.9369 | − | 1.74494i | −0.997895 | − | 0.0581648i | ||||
\(901\) | 0.133982 | 0.00446360 | ||||||||
\(902\) | −4.48957 | + | 18.7027i | −0.149486 | + | 0.622733i | ||||
\(903\) | −0.347660 | − | 1.65975i | −0.0115694 | − | 0.0552329i | ||||
\(904\) | 17.6116 | − | 20.6241i | 0.585754 | − | 0.685947i | ||||
\(905\) | 0.492792i | 0.0163810i | ||||||||
\(906\) | 36.0717 | + | 1.05037i | 1.19840 | + | 0.0348963i | ||||
\(907\) | − | 18.7682i | − | 0.623187i | −0.950216 | − | 0.311593i | \(-0.899137\pi\) | ||
0.950216 | − | 0.311593i | \(-0.100863\pi\) | |||||||
\(908\) | 45.8101 | + | 23.3382i | 1.52026 | + | 0.774505i | ||||
\(909\) | −22.7404 | − | 51.9003i | −0.754252 | − | 1.72142i | ||||
\(910\) | −0.935692 | − | 0.224612i | −0.0310179 | − | 0.00744581i | ||||
\(911\) | −18.4902 | −0.612609 | −0.306305 | − | 0.951934i | \(-0.599093\pi\) | ||||
−0.306305 | + | 0.951934i | \(0.599093\pi\) | |||||||
\(912\) | −15.4306 | − | 13.9735i | −0.510958 | − | 0.462709i | ||||
\(913\) | −47.6862 | −1.57818 | ||||||||
\(914\) | 19.7577 | + | 4.74282i | 0.653527 | + | 0.156878i | ||||
\(915\) | 0.470162 | − | 0.0984829i | 0.0155431 | − | 0.00325574i | ||||
\(916\) | −21.2749 | − | 10.8386i | −0.702941 | − | 0.358116i | ||||
\(917\) | 2.34959i | 0.0775903i | ||||||||
\(918\) | −0.315449 | + | 0.127405i | −0.0104114 | + | 0.00420498i | ||||
\(919\) | 47.1741i | 1.55613i | 0.628183 | + | 0.778065i | \(0.283799\pi\) | ||||
−0.628183 | + | 0.778065i | \(0.716201\pi\) | |||||||
\(920\) | −0.728192 | + | 0.852749i | −0.0240078 | + | 0.0281143i | ||||
\(921\) | 30.4963 | − | 6.38793i | 1.00489 | − | 0.210489i | ||||
\(922\) | −8.23100 | + | 34.2888i | −0.271074 | + | 1.12924i | ||||
\(923\) | 38.2137 | 1.25782 | ||||||||
\(924\) | −31.5001 | − | 8.53849i | −1.03628 | − | 0.280896i | ||||
\(925\) | 2.64058 | 0.0868218 | ||||||||
\(926\) | 5.16959 | − | 21.5356i | 0.169883 | − | 0.707703i | ||||
\(927\) | 17.3190 | + | 39.5270i | 0.568831 | + | 1.29824i | ||||
\(928\) | 17.4431 | − | 7.22807i | 0.572599 | − | 0.237273i | ||||
\(929\) | − | 60.1181i | − | 1.97241i | −0.165522 | − | 0.986206i | \(-0.552931\pi\) | ||
0.165522 | − | 0.986206i | \(-0.447069\pi\) | |||||||
\(930\) | −0.00597334 | + | 0.205135i | −0.000195874 | + | 0.00672665i | ||||
\(931\) | − | 2.89549i | − | 0.0948960i | ||||||
\(932\) | −16.1820 | + | 31.7634i | −0.530059 | + | 1.04045i | ||||
\(933\) | −9.54592 | − | 45.5727i | −0.312520 | − | 1.49198i | ||||
\(934\) | 0.0924926 | + | 0.0222027i | 0.00302645 | + | 0.000726496i | ||||
\(935\) | −0.00700678 | −0.000229146 | ||||||||
\(936\) | −43.1976 | − | 13.0703i | −1.41196 | − | 0.427216i | ||||
\(937\) | 12.3494 | 0.403438 | 0.201719 | − | 0.979443i | \(-0.435347\pi\) | ||||
0.201719 | + | 0.979443i | \(0.435347\pi\) | |||||||
\(938\) | −3.88066 | − | 0.931548i | −0.126708 | − | 0.0304161i | ||||
\(939\) | −5.19137 | − | 24.7839i | −0.169414 | − | 0.808792i | ||||
\(940\) | 0.0188210 | − | 0.0369435i | 0.000613875 | − | 0.00120497i | ||||
\(941\) | 24.8282i | 0.809376i | 0.914455 | + | 0.404688i | \(0.132620\pi\) | ||||
−0.914455 | + | 0.404688i | \(0.867380\pi\) | |||||||
\(942\) | 0.878559 | − | 30.1713i | 0.0286250 | − | 0.983034i | ||||
\(943\) | 35.6272i | 1.16018i | ||||||||
\(944\) | −0.533238 | − | 0.733764i | −0.0173554 | − | 0.0238820i | ||||
\(945\) | 0.385934 | + | 0.541232i | 0.0125544 | + | 0.0176063i | ||||
\(946\) | 0.382349 | − | 1.59279i | 0.0124312 | − | 0.0517862i | ||||
\(947\) | −11.3420 | −0.368564 | −0.184282 | − | 0.982873i | \(-0.558996\pi\) | ||||
−0.184282 | + | 0.982873i | \(0.558996\pi\) | |||||||
\(948\) | −51.1718 | − | 13.8708i | −1.66198 | − | 0.450502i | ||||
\(949\) | 26.6048 | 0.863630 | ||||||||
\(950\) | 4.95730 | − | 20.6512i | 0.160836 | − | 0.670014i | ||||
\(951\) | −27.8496 | + | 5.83353i | −0.903084 | + | 0.189165i | ||||
\(952\) | 0.281010 | + | 0.239964i | 0.00910760 | + | 0.00777729i | ||||
\(953\) | 29.4402i | 0.953663i | 0.878995 | + | 0.476831i | \(0.158215\pi\) | ||||
−0.878995 | + | 0.476831i | \(0.841785\pi\) | |||||||
\(954\) | −2.16640 | − | 12.0857i | −0.0701399 | − | 0.391289i | ||||
\(955\) | − | 0.181426i | − | 0.00587081i | ||||||
\(956\) | 39.6897 | + | 20.2201i | 1.28366 | + | 0.653965i | ||||
\(957\) | −18.8911 | + | 3.95703i | −0.610662 | + | 0.127913i | ||||
\(958\) | −14.3753 | − | 3.45078i | −0.464445 | − | 0.111490i | ||||
\(959\) | −13.8915 | −0.448580 | ||||||||
\(960\) | −0.223472 | − | 0.587054i | −0.00721253 | − | 0.0189471i | ||||
\(961\) | 27.5844 | 0.889818 | ||||||||
\(962\) | 3.86431 | + | 0.927624i | 0.124590 | + | 0.0299078i | ||||
\(963\) | 1.81273 | − | 0.794259i | 0.0584145 | − | 0.0255947i | ||||
\(964\) | 34.5152 | + | 17.5839i | 1.11166 | + | 0.566340i | ||||
\(965\) | 0.866259i | 0.0278858i | ||||||||
\(966\) | −60.4274 | − | 1.75959i | −1.94422 | − | 0.0566138i | ||||
\(967\) | − | 29.6692i | − | 0.954097i | −0.878877 | − | 0.477049i | \(-0.841707\pi\) | ||
0.878877 | − | 0.477049i | \(-0.158293\pi\) | |||||||
\(968\) | −0.314175 | − | 0.268285i | −0.0100980 | − | 0.00862300i | ||||
\(969\) | −0.0493967 | − | 0.235823i | −0.00158685 | − | 0.00757571i | ||||
\(970\) | 0.0435103 | − | 0.181256i | 0.00139703 | − | 0.00581978i | ||||
\(971\) | 32.1612 | 1.03210 | 0.516050 | − | 0.856558i | \(-0.327402\pi\) | ||||
0.516050 | + | 0.856558i | \(0.327402\pi\) | |||||||
\(972\) | 16.5930 | + | 26.3946i | 0.532219 | + | 0.846607i | ||||
\(973\) | −17.8049 | −0.570799 | ||||||||
\(974\) | 7.86725 | − | 32.7735i | 0.252083 | − | 1.05013i | ||||
\(975\) | −9.43964 | − | 45.0653i | −0.302310 | − | 1.44324i | ||||
\(976\) | −14.3862 | − | 19.7962i | −0.460490 | − | 0.633659i | ||||
\(977\) | 18.5520i | 0.593531i | 0.954950 | + | 0.296766i | \(0.0959080\pi\) | ||||
−0.954950 | + | 0.296766i | \(0.904092\pi\) | |||||||
\(978\) | −51.5731 | − | 1.50176i | −1.64912 | − | 0.0480209i | ||||
\(979\) | − | 2.33559i | − | 0.0746458i | ||||||
\(980\) | 0.0396606 | − | 0.0778492i | 0.00126691 | − | 0.00248680i | ||||
\(981\) | −31.3563 | + | 13.7389i | −1.00113 | + | 0.438650i | ||||
\(982\) | 40.4472 | + | 9.70930i | 1.29072 | + | 0.309836i | ||||
\(983\) | −49.7253 | −1.58599 | −0.792995 | − | 0.609228i | \(-0.791479\pi\) | ||||
−0.792995 | + | 0.609228i | \(0.791479\pi\) | |||||||
\(984\) | −17.5113 | − | 9.57314i | −0.558240 | − | 0.305181i | ||||
\(985\) | −0.144502 | −0.00460421 | ||||||||
\(986\) | 0.212497 | + | 0.0510098i | 0.00676730 | + | 0.00162448i | ||||
\(987\) | 2.18773 | − | 0.458255i | 0.0696363 | − | 0.0145864i | ||||
\(988\) | 14.5093 | − | 28.4802i | 0.461604 | − | 0.906075i | ||||
\(989\) | − | 3.03414i | − | 0.0964801i | ||||||
\(990\) | 0.113295 | + | 0.632037i | 0.00360074 | + | 0.0200874i | ||||
\(991\) | − | 2.66567i | − | 0.0846779i | −0.999103 | − | 0.0423389i | \(-0.986519\pi\) | ||
0.999103 | − | 0.0423389i | \(-0.0134809\pi\) | |||||||
\(992\) | 9.65831 | − | 4.00220i | 0.306652 | − | 0.127070i | ||||
\(993\) | 30.5695 | − | 6.40326i | 0.970093 | − | 0.203201i | ||||
\(994\) | −6.69283 | + | 27.8811i | −0.212284 | + | 0.884335i | ||||
\(995\) | 0.795060 | 0.0252051 | ||||||||
\(996\) | 12.9448 | − | 47.7559i | 0.410173 | − | 1.51320i | ||||
\(997\) | 11.0297 | 0.349315 | 0.174657 | − | 0.984629i | \(-0.444118\pi\) | ||||
0.174657 | + | 0.984629i | \(0.444118\pi\) | |||||||
\(998\) | −13.0646 | + | 54.4248i | −0.413553 | + | 1.72279i | ||||
\(999\) | −1.59387 | − | 2.23523i | −0.0504277 | − | 0.0707196i |
(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 | 804.2.c.b.671.11 | ✓ | 128 | |
3.2 | odd | 2 | inner | 804.2.c.b.671.118 | yes | 128 | |
4.3 | odd | 2 | inner | 804.2.c.b.671.117 | yes | 128 | |
12.11 | even | 2 | inner | 804.2.c.b.671.12 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.c.b.671.11 | ✓ | 128 | 1.1 | even | 1 | trivial | |
804.2.c.b.671.12 | yes | 128 | 12.11 | even | 2 | inner | |
804.2.c.b.671.117 | yes | 128 | 4.3 | odd | 2 | inner | |
804.2.c.b.671.118 | yes | 128 | 3.2 | odd | 2 | inner |