Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
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, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (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: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.2 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.b.535.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40514 | + | 0.159923i | −0.993586 | + | 0.113082i | ||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 1.94885 | − | 0.449428i | 0.974425 | − | 0.224714i | ||||
\(5\) | − | 0.947080i | − | 0.423547i | −0.977319 | − | 0.211774i | \(-0.932076\pi\) | ||
0.977319 | − | 0.211774i | \(-0.0679239\pi\) | |||||||
\(6\) | −1.40514 | + | 0.159923i | −0.573647 | + | 0.0652882i | ||||
\(7\) | −0.0251164 | −0.00949309 | −0.00474654 | − | 0.999989i | \(-0.501511\pi\) | ||||
−0.00474654 | + | 0.999989i | \(0.501511\pi\) | |||||||
\(8\) | −2.66654 | + | 0.943176i | −0.942763 | + | 0.333463i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 0.151460 | + | 1.33078i | 0.0478957 | + | 0.420830i | ||||
\(11\) | −1.77930 | −0.536480 | −0.268240 | − | 0.963352i | \(-0.586442\pi\) | ||||
−0.268240 | + | 0.963352i | \(0.586442\pi\) | |||||||
\(12\) | 1.94885 | − | 0.449428i | 0.562584 | − | 0.129739i | ||||
\(13\) | 5.89167i | 1.63405i | 0.576599 | + | 0.817027i | \(0.304380\pi\) | ||||
−0.576599 | + | 0.817027i | \(0.695620\pi\) | |||||||
\(14\) | 0.0352920 | − | 0.00401668i | 0.00943220 | − | 0.00107350i | ||||
\(15\) | − | 0.947080i | − | 0.244535i | ||||||
\(16\) | 3.59603 | − | 1.75174i | 0.899007 | − | 0.437934i | ||||
\(17\) | 2.08504 | 0.505697 | 0.252849 | − | 0.967506i | \(-0.418633\pi\) | ||||
0.252849 | + | 0.967506i | \(0.418633\pi\) | |||||||
\(18\) | −1.40514 | + | 0.159923i | −0.331195 | + | 0.0376941i | ||||
\(19\) | 4.96753i | 1.13963i | 0.821773 | + | 0.569815i | \(0.192985\pi\) | ||||
−0.821773 | + | 0.569815i | \(0.807015\pi\) | |||||||
\(20\) | −0.425645 | − | 1.84572i | −0.0951771 | − | 0.412715i | ||||
\(21\) | −0.0251164 | −0.00548084 | ||||||||
\(22\) | 2.50017 | − | 0.284551i | 0.533039 | − | 0.0606664i | ||||
\(23\) | 4.05820i | 0.846193i | 0.906085 | + | 0.423097i | \(0.139057\pi\) | ||||
−0.906085 | + | 0.423097i | \(0.860943\pi\) | |||||||
\(24\) | −2.66654 | + | 0.943176i | −0.544305 | + | 0.192525i | ||||
\(25\) | 4.10304 | 0.820608 | ||||||||
\(26\) | −0.942211 | − | 8.27863i | −0.184783 | − | 1.62357i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −0.0489480 | + | 0.0112880i | −0.00925030 | + | 0.00213323i | ||||
\(29\) | 5.86732 | 1.08953 | 0.544767 | − | 0.838587i | \(-0.316618\pi\) | ||||
0.544767 | + | 0.838587i | \(0.316618\pi\) | |||||||
\(30\) | 0.151460 | + | 1.33078i | 0.0276526 | + | 0.242967i | ||||
\(31\) | 3.69465 | 0.663579 | 0.331789 | − | 0.943354i | \(-0.392348\pi\) | ||||
0.331789 | + | 0.943354i | \(0.392348\pi\) | |||||||
\(32\) | −4.77279 | + | 3.03653i | −0.843718 | + | 0.536787i | ||||
\(33\) | −1.77930 | −0.309737 | ||||||||
\(34\) | −2.92978 | + | 0.333446i | −0.502454 | + | 0.0571855i | ||||
\(35\) | 0.0237872i | 0.00402077i | ||||||||
\(36\) | 1.94885 | − | 0.449428i | 0.324808 | − | 0.0749047i | ||||
\(37\) | 5.82584 | 0.957762 | 0.478881 | − | 0.877880i | \(-0.341043\pi\) | ||||
0.478881 | + | 0.877880i | \(0.341043\pi\) | |||||||
\(38\) | −0.794421 | − | 6.98009i | −0.128872 | − | 1.13232i | ||||
\(39\) | 5.89167i | 0.943422i | ||||||||
\(40\) | 0.893263 | + | 2.52542i | 0.141237 | + | 0.399305i | ||||
\(41\) | − | 6.60505i | − | 1.03154i | −0.856728 | − | 0.515768i | \(-0.827507\pi\) | ||
0.856728 | − | 0.515768i | \(-0.172493\pi\) | |||||||
\(42\) | 0.0352920 | − | 0.00401668i | 0.00544568 | − | 0.000619786i | ||||
\(43\) | 2.25768 | 0.344294 | 0.172147 | − | 0.985071i | \(-0.444930\pi\) | ||||
0.172147 | + | 0.985071i | \(0.444930\pi\) | |||||||
\(44\) | −3.46759 | + | 0.799669i | −0.522759 | + | 0.120555i | ||||
\(45\) | − | 0.947080i | − | 0.141182i | ||||||
\(46\) | −0.648998 | − | 5.70235i | −0.0956896 | − | 0.840765i | ||||
\(47\) | − | 11.4405i | − | 1.66877i | −0.551185 | − | 0.834383i | \(-0.685824\pi\) | ||
0.551185 | − | 0.834383i | \(-0.314176\pi\) | |||||||
\(48\) | 3.59603 | − | 1.75174i | 0.519042 | − | 0.252841i | ||||
\(49\) | −6.99937 | −0.999910 | ||||||||
\(50\) | −5.76535 | + | 0.656169i | −0.815344 | + | 0.0927963i | ||||
\(51\) | 2.08504 | 0.291964 | ||||||||
\(52\) | 2.64788 | + | 11.4820i | 0.367195 | + | 1.59226i | ||||
\(53\) | 7.44096i | 1.02209i | 0.859553 | + | 0.511047i | \(0.170742\pi\) | ||||
−0.859553 | + | 0.511047i | \(0.829258\pi\) | |||||||
\(54\) | −1.40514 | + | 0.159923i | −0.191216 | + | 0.0217627i | ||||
\(55\) | 1.68514i | 0.227225i | ||||||||
\(56\) | 0.0669737 | − | 0.0236891i | 0.00894973 | − | 0.00316559i | ||||
\(57\) | 4.96753i | 0.657966i | ||||||||
\(58\) | −8.24442 | + | 0.938318i | −1.08255 | + | 0.123207i | ||||
\(59\) | − | 2.53323i | − | 0.329798i | −0.986310 | − | 0.164899i | \(-0.947270\pi\) | ||
0.986310 | − | 0.164899i | \(-0.0527298\pi\) | |||||||
\(60\) | −0.425645 | − | 1.84572i | −0.0549505 | − | 0.238281i | ||||
\(61\) | − | 2.42545i | − | 0.310547i | −0.987872 | − | 0.155273i | \(-0.950374\pi\) | ||
0.987872 | − | 0.155273i | \(-0.0496258\pi\) | |||||||
\(62\) | −5.19151 | + | 0.590858i | −0.659322 | + | 0.0750391i | ||||
\(63\) | −0.0251164 | −0.00316436 | ||||||||
\(64\) | 6.22084 | − | 5.03003i | 0.777605 | − | 0.628753i | ||||
\(65\) | 5.57988 | 0.692099 | ||||||||
\(66\) | 2.50017 | − | 0.284551i | 0.307750 | − | 0.0350258i | ||||
\(67\) | 7.47363 | − | 3.33840i | 0.913049 | − | 0.407850i | ||||
\(68\) | 4.06344 | − | 0.937077i | 0.492764 | − | 0.113637i | ||||
\(69\) | 4.05820i | 0.488550i | ||||||||
\(70\) | −0.00380411 | − | 0.0334244i | −0.000454679 | − | 0.00399498i | ||||
\(71\) | 1.82520i | 0.216611i | 0.994118 | + | 0.108306i | \(0.0345425\pi\) | ||||
−0.994118 | + | 0.108306i | \(0.965458\pi\) | |||||||
\(72\) | −2.66654 | + | 0.943176i | −0.314254 | + | 0.111154i | ||||
\(73\) | −9.08258 | −1.06304 | −0.531518 | − | 0.847047i | \(-0.678378\pi\) | ||||
−0.531518 | + | 0.847047i | \(0.678378\pi\) | |||||||
\(74\) | −8.18613 | + | 0.931684i | −0.951618 | + | 0.108306i | ||||
\(75\) | 4.10304 | 0.473778 | ||||||||
\(76\) | 2.23255 | + | 9.68097i | 0.256091 | + | 1.11048i | ||||
\(77\) | 0.0446896 | 0.00509285 | ||||||||
\(78\) | −0.942211 | − | 8.27863i | −0.106684 | − | 0.937370i | ||||
\(79\) | 12.9024 | 1.45163 | 0.725817 | − | 0.687888i | \(-0.241462\pi\) | ||||
0.725817 | + | 0.687888i | \(0.241462\pi\) | |||||||
\(80\) | −1.65903 | − | 3.40573i | −0.185486 | − | 0.380772i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 1.05630 | + | 9.28104i | 0.116649 | + | 1.02492i | ||||
\(83\) | 14.6510i | 1.60815i | 0.594525 | + | 0.804077i | \(0.297340\pi\) | ||||
−0.594525 | + | 0.804077i | \(0.702660\pi\) | |||||||
\(84\) | −0.0489480 | + | 0.0112880i | −0.00534066 | + | 0.00123162i | ||||
\(85\) | − | 1.97470i | − | 0.214187i | ||||||
\(86\) | −3.17237 | + | 0.361055i | −0.342085 | + | 0.0389335i | ||||
\(87\) | 5.86732 | 0.629043 | ||||||||
\(88\) | 4.74458 | − | 1.67820i | 0.505773 | − | 0.178896i | ||||
\(89\) | −9.99659 | −1.05964 | −0.529818 | − | 0.848111i | \(-0.677740\pi\) | ||||
−0.529818 | + | 0.848111i | \(0.677740\pi\) | |||||||
\(90\) | 0.151460 | + | 1.33078i | 0.0159652 | + | 0.140277i | ||||
\(91\) | − | 0.147977i | − | 0.0155122i | ||||||
\(92\) | 1.82387 | + | 7.90882i | 0.190152 | + | 0.824551i | ||||
\(93\) | 3.69465 | 0.383117 | ||||||||
\(94\) | 1.82959 | + | 16.0755i | 0.188708 | + | 1.65806i | ||||
\(95\) | 4.70465 | 0.482687 | ||||||||
\(96\) | −4.77279 | + | 3.03653i | −0.487121 | + | 0.309914i | ||||
\(97\) | 3.04196i | 0.308864i | 0.988003 | + | 0.154432i | \(0.0493547\pi\) | ||||
−0.988003 | + | 0.154432i | \(0.950645\pi\) | |||||||
\(98\) | 9.83511 | − | 1.11936i | 0.993496 | − | 0.113072i | ||||
\(99\) | −1.77930 | −0.178827 | ||||||||
\(100\) | 7.99620 | − | 1.84402i | 0.799620 | − | 0.184402i | ||||
\(101\) | 12.2472i | 1.21864i | 0.792923 | + | 0.609322i | \(0.208558\pi\) | ||||
−0.792923 | + | 0.609322i | \(0.791442\pi\) | |||||||
\(102\) | −2.92978 | + | 0.333446i | −0.290092 | + | 0.0330161i | ||||
\(103\) | 5.90791i | 0.582124i | 0.956704 | + | 0.291062i | \(0.0940086\pi\) | ||||
−0.956704 | + | 0.291062i | \(0.905991\pi\) | |||||||
\(104\) | −5.55688 | − | 15.7103i | −0.544897 | − | 1.54053i | ||||
\(105\) | 0.0237872i | 0.00232139i | ||||||||
\(106\) | −1.18998 | − | 10.4556i | −0.115581 | − | 1.01554i | ||||
\(107\) | 3.36968i | 0.325760i | 0.986646 | + | 0.162880i | \(0.0520783\pi\) | ||||
−0.986646 | + | 0.162880i | \(0.947922\pi\) | |||||||
\(108\) | 1.94885 | − | 0.449428i | 0.187528 | − | 0.0432463i | ||||
\(109\) | − | 10.9353i | − | 1.04741i | −0.851898 | − | 0.523707i | \(-0.824549\pi\) | ||
0.851898 | − | 0.523707i | \(-0.175451\pi\) | |||||||
\(110\) | −0.269493 | − | 2.36786i | −0.0256951 | − | 0.225767i | ||||
\(111\) | 5.82584 | 0.552964 | ||||||||
\(112\) | −0.0903191 | + | 0.0439972i | −0.00853435 | + | 0.00415735i | ||||
\(113\) | − | 12.5428i | − | 1.17993i | −0.807428 | − | 0.589966i | \(-0.799141\pi\) | ||
0.807428 | − | 0.589966i | \(-0.200859\pi\) | |||||||
\(114\) | −0.794421 | − | 6.98009i | −0.0744043 | − | 0.653745i | ||||
\(115\) | 3.84344 | 0.358403 | ||||||||
\(116\) | 11.4345 | − | 2.63694i | 1.06167 | − | 0.244834i | ||||
\(117\) | 5.89167i | 0.544685i | ||||||||
\(118\) | 0.405120 | + | 3.55954i | 0.0372944 | + | 0.327683i | ||||
\(119\) | −0.0523687 | −0.00480063 | ||||||||
\(120\) | 0.893263 | + | 2.52542i | 0.0815434 | + | 0.230539i | ||||
\(121\) | −7.83408 | −0.712189 | ||||||||
\(122\) | 0.387884 | + | 3.40810i | 0.0351174 | + | 0.308555i | ||||
\(123\) | − | 6.60505i | − | 0.595557i | ||||||
\(124\) | 7.20032 | − | 1.66048i | 0.646607 | − | 0.149115i | ||||
\(125\) | − | 8.62131i | − | 0.771113i | ||||||
\(126\) | 0.0352920 | − | 0.00401668i | 0.00314407 | − | 0.000357834i | ||||
\(127\) | 18.3109i | 1.62483i | 0.583082 | + | 0.812413i | \(0.301846\pi\) | ||||
−0.583082 | + | 0.812413i | \(0.698154\pi\) | |||||||
\(128\) | −7.93675 | + | 8.06276i | −0.701516 | + | 0.712654i | ||||
\(129\) | 2.25768 | 0.198778 | ||||||||
\(130\) | −7.84053 | + | 0.892350i | −0.687660 | + | 0.0782643i | ||||
\(131\) | 0.858472i | 0.0750051i | 0.999297 | + | 0.0375025i | \(0.0119402\pi\) | ||||
−0.999297 | + | 0.0375025i | \(0.988060\pi\) | |||||||
\(132\) | −3.46759 | + | 0.799669i | −0.301815 | + | 0.0696022i | ||||
\(133\) | − | 0.124766i | − | 0.0108186i | ||||||
\(134\) | −9.96762 | + | 5.88613i | −0.861072 | + | 0.508484i | ||||
\(135\) | − | 0.947080i | − | 0.0815117i | ||||||
\(136\) | −5.55984 | + | 1.96656i | −0.476753 | + | 0.168631i | ||||
\(137\) | 19.5425i | 1.66963i | 0.550529 | + | 0.834816i | \(0.314426\pi\) | ||||
−0.550529 | + | 0.834816i | \(0.685574\pi\) | |||||||
\(138\) | −0.648998 | − | 5.70235i | −0.0552464 | − | 0.485416i | ||||
\(139\) | −3.18812 | −0.270413 | −0.135206 | − | 0.990817i | \(-0.543170\pi\) | ||||
−0.135206 | + | 0.990817i | \(0.543170\pi\) | |||||||
\(140\) | 0.0106906 | + | 0.0463577i | 0.000903524 | + | 0.00391794i | ||||
\(141\) | − | 11.4405i | − | 0.963463i | ||||||
\(142\) | −0.291891 | − | 2.56466i | −0.0244949 | − | 0.215222i | ||||
\(143\) | − | 10.4831i | − | 0.876637i | ||||||
\(144\) | 3.59603 | − | 1.75174i | 0.299669 | − | 0.145978i | ||||
\(145\) | − | 5.55683i | − | 0.461469i | ||||||
\(146\) | 12.7623 | − | 1.45251i | 1.05622 | − | 0.120211i | ||||
\(147\) | −6.99937 | −0.577298 | ||||||||
\(148\) | 11.3537 | − | 2.61830i | 0.933267 | − | 0.215223i | ||||
\(149\) | −3.18333 | −0.260788 | −0.130394 | − | 0.991462i | \(-0.541624\pi\) | ||||
−0.130394 | + | 0.991462i | \(0.541624\pi\) | |||||||
\(150\) | −5.76535 | + | 0.656169i | −0.470739 | + | 0.0535760i | ||||
\(151\) | 9.58369i | 0.779910i | 0.920834 | + | 0.389955i | \(0.127509\pi\) | ||||
−0.920834 | + | 0.389955i | \(0.872491\pi\) | |||||||
\(152\) | −4.68526 | − | 13.2461i | −0.380024 | − | 1.07440i | ||||
\(153\) | 2.08504 | 0.168566 | ||||||||
\(154\) | −0.0627952 | + | 0.00714688i | −0.00506018 | + | 0.000575912i | ||||
\(155\) | − | 3.49913i | − | 0.281057i | ||||||
\(156\) | 2.64788 | + | 11.4820i | 0.212000 | + | 0.919294i | ||||
\(157\) | −0.495196 | −0.0395209 | −0.0197605 | − | 0.999805i | \(-0.506290\pi\) | ||||
−0.0197605 | + | 0.999805i | \(0.506290\pi\) | |||||||
\(158\) | −18.1297 | + | 2.06339i | −1.44232 | + | 0.164154i | ||||
\(159\) | 7.44096i | 0.590106i | ||||||||
\(160\) | 2.87583 | + | 4.52021i | 0.227355 | + | 0.357354i | ||||
\(161\) | − | 0.101927i | − | 0.00803299i | ||||||
\(162\) | −1.40514 | + | 0.159923i | −0.110398 | + | 0.0125647i | ||||
\(163\) | − | 18.2942i | − | 1.43292i | −0.697630 | − | 0.716458i | \(-0.745762\pi\) | ||
0.697630 | − | 0.716458i | \(-0.254238\pi\) | |||||||
\(164\) | −2.96850 | − | 12.8723i | −0.231801 | − | 1.00515i | ||||
\(165\) | 1.68514i | 0.131188i | ||||||||
\(166\) | −2.34302 | − | 20.5867i | −0.181854 | − | 1.59784i | ||||
\(167\) | − | 9.79844i | − | 0.758226i | −0.925350 | − | 0.379113i | \(-0.876229\pi\) | ||
0.925350 | − | 0.379113i | \(-0.123771\pi\) | |||||||
\(168\) | 0.0669737 | − | 0.0236891i | 0.00516713 | − | 0.00182766i | ||||
\(169\) | −21.7117 | −1.67013 | ||||||||
\(170\) | 0.315800 | + | 2.77474i | 0.0242207 | + | 0.212813i | ||||
\(171\) | 4.96753i | 0.379877i | ||||||||
\(172\) | 4.39989 | − | 1.01467i | 0.335488 | − | 0.0773676i | ||||
\(173\) | 4.12328 | 0.313487 | 0.156744 | − | 0.987639i | \(-0.449900\pi\) | ||||
0.156744 | + | 0.987639i | \(0.449900\pi\) | |||||||
\(174\) | −8.24442 | + | 0.938318i | −0.625008 | + | 0.0711337i | ||||
\(175\) | −0.103053 | −0.00779010 | ||||||||
\(176\) | −6.39842 | + | 3.11687i | −0.482299 | + | 0.234943i | ||||
\(177\) | − | 2.53323i | − | 0.190409i | ||||||
\(178\) | 14.0466 | − | 1.59868i | 1.05284 | − | 0.119826i | ||||
\(179\) | −3.42794 | −0.256216 | −0.128108 | − | 0.991760i | \(-0.540890\pi\) | ||||
−0.128108 | + | 0.991760i | \(0.540890\pi\) | |||||||
\(180\) | −0.425645 | − | 1.84572i | −0.0317257 | − | 0.137572i | ||||
\(181\) | −19.6517 | −1.46070 | −0.730351 | − | 0.683072i | \(-0.760643\pi\) | ||||
−0.730351 | + | 0.683072i | \(0.760643\pi\) | |||||||
\(182\) | 0.0236649 | + | 0.207929i | 0.00175416 | + | 0.0154127i | ||||
\(183\) | − | 2.42545i | − | 0.179294i | ||||||
\(184\) | −3.82760 | − | 10.8213i | −0.282174 | − | 0.797760i | ||||
\(185\) | − | 5.51754i | − | 0.405657i | ||||||
\(186\) | −5.19151 | + | 0.590858i | −0.380660 | + | 0.0433238i | ||||
\(187\) | −3.70992 | −0.271296 | ||||||||
\(188\) | −5.14168 | − | 22.2958i | −0.374995 | − | 1.62609i | ||||
\(189\) | −0.0251164 | −0.00182695 | ||||||||
\(190\) | −6.61070 | + | 0.752381i | −0.479591 | + | 0.0545834i | ||||
\(191\) | −2.52854 | −0.182959 | −0.0914793 | − | 0.995807i | \(-0.529160\pi\) | ||||
−0.0914793 | + | 0.995807i | \(0.529160\pi\) | |||||||
\(192\) | 6.22084 | − | 5.03003i | 0.448950 | − | 0.363011i | ||||
\(193\) | −10.4620 | −0.753073 | −0.376537 | − | 0.926402i | \(-0.622885\pi\) | ||||
−0.376537 | + | 0.926402i | \(0.622885\pi\) | |||||||
\(194\) | −0.486478 | − | 4.27438i | −0.0349271 | − | 0.306883i | ||||
\(195\) | 5.57988 | 0.399584 | ||||||||
\(196\) | −13.6407 | + | 3.14571i | −0.974337 | + | 0.224694i | ||||
\(197\) | − | 21.9353i | − | 1.56282i | −0.624016 | − | 0.781412i | \(-0.714500\pi\) | ||
0.624016 | − | 0.781412i | \(-0.285500\pi\) | |||||||
\(198\) | 2.50017 | − | 0.284551i | 0.177680 | − | 0.0202221i | ||||
\(199\) | − | 17.6608i | − | 1.25194i | −0.779846 | − | 0.625971i | \(-0.784703\pi\) | ||
0.779846 | − | 0.625971i | \(-0.215297\pi\) | |||||||
\(200\) | −10.9409 | + | 3.86989i | −0.773639 | + | 0.273642i | ||||
\(201\) | 7.47363 | − | 3.33840i | 0.527149 | − | 0.235472i | ||||
\(202\) | −1.95861 | − | 17.2091i | −0.137807 | − | 1.21083i | ||||
\(203\) | −0.147366 | −0.0103430 | ||||||||
\(204\) | 4.06344 | − | 0.937077i | 0.284497 | − | 0.0656085i | ||||
\(205\) | −6.25551 | −0.436904 | ||||||||
\(206\) | −0.944809 | − | 8.30146i | −0.0658280 | − | 0.578390i | ||||
\(207\) | 4.05820i | 0.282064i | ||||||||
\(208\) | 10.3206 | + | 21.1866i | 0.715608 | + | 1.46903i | ||||
\(209\) | − | 8.83874i | − | 0.611388i | ||||||
\(210\) | −0.00380411 | − | 0.0334244i | −0.000262509 | − | 0.00230650i | ||||
\(211\) | − | 13.3556i | − | 0.919441i | −0.888064 | − | 0.459720i | \(-0.847950\pi\) | ||
0.888064 | − | 0.459720i | \(-0.152050\pi\) | |||||||
\(212\) | 3.34418 | + | 14.5013i | 0.229679 | + | 0.995954i | ||||
\(213\) | 1.82520i | 0.125060i | ||||||||
\(214\) | −0.538889 | − | 4.73488i | −0.0368377 | − | 0.323670i | ||||
\(215\) | − | 2.13821i | − | 0.145825i | ||||||
\(216\) | −2.66654 | + | 0.943176i | −0.181435 | + | 0.0641750i | ||||
\(217\) | −0.0927961 | −0.00629941 | ||||||||
\(218\) | 1.74881 | + | 15.3657i | 0.118444 | + | 1.04070i | ||||
\(219\) | −9.08258 | −0.613744 | ||||||||
\(220\) | 0.757351 | + | 3.28409i | 0.0510606 | + | 0.221413i | ||||
\(221\) | 12.2844i | 0.826337i | ||||||||
\(222\) | −8.18613 | + | 0.931684i | −0.549417 | + | 0.0625305i | ||||
\(223\) | − | 5.28059i | − | 0.353614i | −0.984246 | − | 0.176807i | \(-0.943423\pi\) | ||
0.984246 | − | 0.176807i | \(-0.0565769\pi\) | |||||||
\(224\) | 0.119875 | − | 0.0762664i | 0.00800949 | − | 0.00509577i | ||||
\(225\) | 4.10304 | 0.273536 | ||||||||
\(226\) | 2.00589 | + | 17.6245i | 0.133430 | + | 1.17236i | ||||
\(227\) | − | 3.00443i | − | 0.199411i | −0.995017 | − | 0.0997054i | \(-0.968210\pi\) | ||
0.995017 | − | 0.0997054i | \(-0.0317900\pi\) | |||||||
\(228\) | 2.23255 | + | 9.68097i | 0.147854 | + | 0.641138i | ||||
\(229\) | − | 16.7641i | − | 1.10780i | −0.832583 | − | 0.553900i | \(-0.813139\pi\) | ||
0.832583 | − | 0.553900i | \(-0.186861\pi\) | |||||||
\(230\) | −5.40058 | + | 0.614653i | −0.356104 | + | 0.0405291i | ||||
\(231\) | 0.0446896 | 0.00294036 | ||||||||
\(232\) | −15.6454 | + | 5.53392i | −1.02717 | + | 0.363320i | ||||
\(233\) | 14.8547i | 0.973164i | 0.873635 | + | 0.486582i | \(0.161757\pi\) | ||||
−0.873635 | + | 0.486582i | \(0.838243\pi\) | |||||||
\(234\) | −0.942211 | − | 8.27863i | −0.0615943 | − | 0.541191i | ||||
\(235\) | −10.8351 | −0.706801 | ||||||||
\(236\) | −1.13850 | − | 4.93688i | −0.0741103 | − | 0.321363i | ||||
\(237\) | 12.9024 | 0.838102 | ||||||||
\(238\) | 0.0735855 | − | 0.00837494i | 0.00476984 | − | 0.000542867i | ||||
\(239\) | −25.2628 | −1.63411 | −0.817057 | − | 0.576556i | \(-0.804396\pi\) | ||||
−0.817057 | + | 0.576556i | \(0.804396\pi\) | |||||||
\(240\) | −1.65903 | − | 3.40573i | −0.107090 | − | 0.219839i | ||||
\(241\) | −21.3105 | −1.37273 | −0.686366 | − | 0.727257i | \(-0.740795\pi\) | ||||
−0.686366 | + | 0.727257i | \(0.740795\pi\) | |||||||
\(242\) | 11.0080 | − | 1.25285i | 0.707621 | − | 0.0805361i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −1.09006 | − | 4.72683i | −0.0697842 | − | 0.302604i | ||||
\(245\) | 6.62897i | 0.423509i | ||||||||
\(246\) | 1.05630 | + | 9.28104i | 0.0673471 | + | 0.591737i | ||||
\(247\) | −29.2670 | −1.86222 | ||||||||
\(248\) | −9.85192 | + | 3.48470i | −0.625597 | + | 0.221279i | ||||
\(249\) | 14.6510i | 0.928468i | ||||||||
\(250\) | 1.37874 | + | 12.1142i | 0.0871994 | + | 0.766167i | ||||
\(251\) | −4.16214 | −0.262712 | −0.131356 | − | 0.991335i | \(-0.541933\pi\) | ||||
−0.131356 | + | 0.991335i | \(0.541933\pi\) | |||||||
\(252\) | −0.0489480 | + | 0.0112880i | −0.00308343 | + | 0.000711077i | ||||
\(253\) | − | 7.22076i | − | 0.453966i | ||||||
\(254\) | −2.92832 | − | 25.7294i | −0.183739 | − | 1.61440i | ||||
\(255\) | − | 1.97470i | − | 0.123661i | ||||||
\(256\) | 9.86284 | − | 12.5986i | 0.616428 | − | 0.787412i | ||||
\(257\) | 5.06462 | 0.315923 | 0.157961 | − | 0.987445i | \(-0.449508\pi\) | ||||
0.157961 | + | 0.987445i | \(0.449508\pi\) | |||||||
\(258\) | −3.17237 | + | 0.361055i | −0.197503 | + | 0.0224783i | ||||
\(259\) | −0.146324 | −0.00909212 | ||||||||
\(260\) | 10.8744 | − | 2.50776i | 0.674399 | − | 0.155524i | ||||
\(261\) | 5.86732 | 0.363178 | ||||||||
\(262\) | −0.137289 | − | 1.20628i | −0.00848176 | − | 0.0745240i | ||||
\(263\) | 23.1973i | 1.43040i | 0.698918 | + | 0.715202i | \(0.253665\pi\) | ||||
−0.698918 | + | 0.715202i | \(0.746335\pi\) | |||||||
\(264\) | 4.74458 | − | 1.67820i | 0.292008 | − | 0.103286i | ||||
\(265\) | 7.04719 | 0.432905 | ||||||||
\(266\) | 0.0199530 | + | 0.175314i | 0.00122339 | + | 0.0107492i | ||||
\(267\) | −9.99659 | −0.611782 | ||||||||
\(268\) | 13.0646 | − | 9.86489i | 0.798048 | − | 0.602594i | ||||
\(269\) | 23.2052 | 1.41485 | 0.707424 | − | 0.706789i | \(-0.249857\pi\) | ||||
0.707424 | + | 0.706789i | \(0.249857\pi\) | |||||||
\(270\) | 0.151460 | + | 1.33078i | 0.00921754 | + | 0.0809889i | ||||
\(271\) | 30.7842 | 1.87000 | 0.935002 | − | 0.354642i | \(-0.115397\pi\) | ||||
0.935002 | + | 0.354642i | \(0.115397\pi\) | |||||||
\(272\) | 7.49787 | − | 3.65245i | 0.454625 | − | 0.221462i | ||||
\(273\) | − | 0.147977i | − | 0.00895599i | ||||||
\(274\) | −3.12530 | − | 27.4600i | −0.188806 | − | 1.65892i | ||||
\(275\) | −7.30055 | −0.440240 | ||||||||
\(276\) | 1.82387 | + | 7.90882i | 0.109784 | + | 0.476055i | ||||
\(277\) | 16.3644 | 0.983244 | 0.491622 | − | 0.870809i | \(-0.336404\pi\) | ||||
0.491622 | + | 0.870809i | \(0.336404\pi\) | |||||||
\(278\) | 4.47976 | − | 0.509852i | 0.268678 | − | 0.0305789i | ||||
\(279\) | 3.69465 | 0.221193 | ||||||||
\(280\) | −0.0224355 | − | 0.0634295i | −0.00134078 | − | 0.00379064i | ||||
\(281\) | 4.90280i | 0.292477i | 0.989249 | + | 0.146238i | \(0.0467166\pi\) | ||||
−0.989249 | + | 0.146238i | \(0.953283\pi\) | |||||||
\(282\) | 1.82959 | + | 16.0755i | 0.108951 | + | 0.957283i | ||||
\(283\) | − | 4.94961i | − | 0.294223i | −0.989120 | − | 0.147112i | \(-0.953002\pi\) | ||
0.989120 | − | 0.147112i | \(-0.0469977\pi\) | |||||||
\(284\) | 0.820295 | + | 3.55704i | 0.0486756 | + | 0.211071i | ||||
\(285\) | 4.70465 | 0.278679 | ||||||||
\(286\) | 1.67648 | + | 14.7302i | 0.0991323 | + | 0.871014i | ||||
\(287\) | 0.165895i | 0.00979246i | ||||||||
\(288\) | −4.77279 | + | 3.03653i | −0.281239 | + | 0.178929i | ||||
\(289\) | −12.6526 | −0.744270 | ||||||||
\(290\) | 0.888663 | + | 7.80813i | 0.0521841 | + | 0.458509i | ||||
\(291\) | 3.04196i | 0.178323i | ||||||||
\(292\) | −17.7006 | + | 4.08197i | −1.03585 | + | 0.238879i | ||||
\(293\) | 11.7129 | 0.684274 | 0.342137 | − | 0.939650i | \(-0.388849\pi\) | ||||
0.342137 | + | 0.939650i | \(0.388849\pi\) | |||||||
\(294\) | 9.83511 | − | 1.11936i | 0.573595 | − | 0.0652823i | ||||
\(295\) | −2.39917 | −0.139685 | ||||||||
\(296\) | −15.5348 | + | 5.49479i | −0.902943 | + | 0.319378i | ||||
\(297\) | −1.77930 | −0.103246 | ||||||||
\(298\) | 4.47303 | − | 0.509087i | 0.259116 | − | 0.0294906i | ||||
\(299\) | −23.9096 | −1.38273 | ||||||||
\(300\) | 7.99620 | − | 1.84402i | 0.461661 | − | 0.106465i | ||||
\(301\) | −0.0567048 | −0.00326841 | ||||||||
\(302\) | −1.53265 | − | 13.4665i | −0.0881941 | − | 0.774907i | ||||
\(303\) | 12.2472i | 0.703584i | ||||||||
\(304\) | 8.70180 | + | 17.8634i | 0.499083 | + | 1.02454i | ||||
\(305\) | −2.29709 | −0.131531 | ||||||||
\(306\) | −2.92978 | + | 0.333446i | −0.167485 | + | 0.0190618i | ||||
\(307\) | − | 11.7010i | − | 0.667813i | −0.942606 | − | 0.333907i | \(-0.891633\pi\) | ||
0.942606 | − | 0.333907i | \(-0.108367\pi\) | |||||||
\(308\) | 0.0870933 | − | 0.0200848i | 0.00496260 | − | 0.00114444i | ||||
\(309\) | 5.90791i | 0.336089i | ||||||||
\(310\) | 0.559590 | + | 4.91677i | 0.0317826 | + | 0.279254i | ||||
\(311\) | 9.01428 | 0.511153 | 0.255577 | − | 0.966789i | \(-0.417735\pi\) | ||||
0.255577 | + | 0.966789i | \(0.417735\pi\) | |||||||
\(312\) | −5.55688 | − | 15.7103i | −0.314596 | − | 0.889423i | ||||
\(313\) | − | 14.3607i | − | 0.811717i | −0.913936 | − | 0.405859i | \(-0.866973\pi\) | ||
0.913936 | − | 0.405859i | \(-0.133027\pi\) | |||||||
\(314\) | 0.695821 | − | 0.0791931i | 0.0392674 | − | 0.00446912i | ||||
\(315\) | 0.0237872i | 0.00134026i | ||||||||
\(316\) | 25.1449 | − | 5.79871i | 1.41451 | − | 0.326203i | ||||
\(317\) | 28.4682 | 1.59893 | 0.799465 | − | 0.600712i | \(-0.205116\pi\) | ||||
0.799465 | + | 0.600712i | \(0.205116\pi\) | |||||||
\(318\) | −1.18998 | − | 10.4556i | −0.0667307 | − | 0.586321i | ||||
\(319\) | −10.4397 | −0.584513 | ||||||||
\(320\) | −4.76384 | − | 5.89163i | −0.266307 | − | 0.329352i | ||||
\(321\) | 3.36968i | 0.188077i | ||||||||
\(322\) | 0.0163005 | + | 0.143222i | 0.000908390 | + | 0.00798146i | ||||
\(323\) | 10.3575i | 0.576308i | ||||||||
\(324\) | 1.94885 | − | 0.449428i | 0.108269 | − | 0.0249682i | ||||
\(325\) | 24.1737i | 1.34092i | ||||||||
\(326\) | 2.92566 | + | 25.7060i | 0.162038 | + | 1.42372i | ||||
\(327\) | − | 10.9353i | − | 0.604725i | ||||||
\(328\) | 6.22973 | + | 17.6126i | 0.343979 | + | 0.972494i | ||||
\(329\) | 0.287343i | 0.0158417i | ||||||||
\(330\) | −0.269493 | − | 2.36786i | −0.0148351 | − | 0.130347i | ||||
\(331\) | 12.1555 | 0.668126 | 0.334063 | − | 0.942551i | \(-0.391580\pi\) | ||||
0.334063 | + | 0.942551i | \(0.391580\pi\) | |||||||
\(332\) | 6.58457 | + | 28.5526i | 0.361375 | + | 1.56703i | ||||
\(333\) | 5.82584 | 0.319254 | ||||||||
\(334\) | 1.56699 | + | 13.7682i | 0.0857420 | + | 0.753362i | ||||
\(335\) | −3.16173 | − | 7.07813i | −0.172744 | − | 0.386719i | ||||
\(336\) | −0.0903191 | + | 0.0439972i | −0.00492731 | + | 0.00240025i | ||||
\(337\) | − | 24.8528i | − | 1.35382i | −0.736066 | − | 0.676910i | \(-0.763319\pi\) | ||
0.736066 | − | 0.676910i | \(-0.236681\pi\) | |||||||
\(338\) | 30.5081 | − | 3.47220i | 1.65942 | − | 0.188863i | ||||
\(339\) | − | 12.5428i | − | 0.681234i | ||||||
\(340\) | −0.887488 | − | 3.84840i | −0.0481308 | − | 0.208709i | ||||
\(341\) | −6.57390 | −0.355997 | ||||||||
\(342\) | −0.794421 | − | 6.98009i | −0.0429574 | − | 0.377440i | ||||
\(343\) | 0.351613 | 0.0189853 | ||||||||
\(344\) | −6.02020 | + | 2.12939i | −0.324587 | + | 0.114809i | ||||
\(345\) | 3.84344 | 0.206924 | ||||||||
\(346\) | −5.79379 | + | 0.659406i | −0.311476 | + | 0.0354499i | ||||
\(347\) | 1.31925 | 0.0708212 | 0.0354106 | − | 0.999373i | \(-0.488726\pi\) | ||||
0.0354106 | + | 0.999373i | \(0.488726\pi\) | |||||||
\(348\) | 11.4345 | − | 2.63694i | 0.612955 | − | 0.141355i | ||||
\(349\) | 8.84302 | 0.473356 | 0.236678 | − | 0.971588i | \(-0.423941\pi\) | ||||
0.236678 | + | 0.971588i | \(0.423941\pi\) | |||||||
\(350\) | 0.144805 | − | 0.0164806i | 0.00774013 | − | 0.000880924i | ||||
\(351\) | 5.89167i | 0.314474i | ||||||||
\(352\) | 8.49224 | − | 5.40290i | 0.452638 | − | 0.287975i | ||||
\(353\) | 8.19013i | 0.435917i | 0.975958 | + | 0.217958i | \(0.0699397\pi\) | ||||
−0.975958 | + | 0.217958i | \(0.930060\pi\) | |||||||
\(354\) | 0.405120 | + | 3.55954i | 0.0215319 | + | 0.189188i | ||||
\(355\) | 1.72861 | 0.0917450 | ||||||||
\(356\) | −19.4819 | + | 4.49275i | −1.03254 | + | 0.238115i | ||||
\(357\) | −0.0523687 | −0.00277164 | ||||||||
\(358\) | 4.81674 | − | 0.548205i | 0.254573 | − | 0.0289735i | ||||
\(359\) | − | 23.4837i | − | 1.23942i | −0.784829 | − | 0.619712i | \(-0.787249\pi\) | ||
0.784829 | − | 0.619712i | \(-0.212751\pi\) | |||||||
\(360\) | 0.893263 | + | 2.52542i | 0.0470791 | + | 0.133102i | ||||
\(361\) | −5.67637 | −0.298756 | ||||||||
\(362\) | 27.6135 | − | 3.14276i | 1.45133 | − | 0.165180i | ||||
\(363\) | −7.83408 | −0.411183 | ||||||||
\(364\) | −0.0665051 | − | 0.288385i | −0.00348582 | − | 0.0151155i | ||||
\(365\) | 8.60193i | 0.450246i | ||||||||
\(366\) | 0.387884 | + | 3.40810i | 0.0202750 | + | 0.178144i | ||||
\(367\) | −6.29768 | −0.328736 | −0.164368 | − | 0.986399i | \(-0.552558\pi\) | ||||
−0.164368 | + | 0.986399i | \(0.552558\pi\) | |||||||
\(368\) | 7.10889 | + | 14.5934i | 0.370577 | + | 0.760734i | ||||
\(369\) | − | 6.60505i | − | 0.343845i | ||||||
\(370\) | 0.882379 | + | 7.75292i | 0.0458727 | + | 0.403055i | ||||
\(371\) | − | 0.186890i | − | 0.00970283i | ||||||
\(372\) | 7.20032 | − | 1.66048i | 0.373319 | − | 0.0860919i | ||||
\(373\) | 16.1029i | 0.833779i | 0.908957 | + | 0.416890i | \(0.136880\pi\) | ||||
−0.908957 | + | 0.416890i | \(0.863120\pi\) | |||||||
\(374\) | 5.21297 | − | 0.593301i | 0.269556 | − | 0.0306789i | ||||
\(375\) | − | 8.62131i | − | 0.445202i | ||||||
\(376\) | 10.7904 | + | 30.5065i | 0.556472 | + | 1.57325i | ||||
\(377\) | 34.5683i | 1.78036i | ||||||||
\(378\) | 0.0352920 | − | 0.00401668i | 0.00181523 | − | 0.000206595i | ||||
\(379\) | −29.5997 | −1.52044 | −0.760218 | − | 0.649668i | \(-0.774908\pi\) | ||||
−0.760218 | + | 0.649668i | \(0.774908\pi\) | |||||||
\(380\) | 9.16866 | − | 2.11440i | 0.470342 | − | 0.108467i | ||||
\(381\) | 18.3109i | 0.938094i | ||||||||
\(382\) | 3.55296 | − | 0.404371i | 0.181785 | − | 0.0206894i | ||||
\(383\) | 29.7912 | 1.52226 | 0.761129 | − | 0.648601i | \(-0.224645\pi\) | ||||
0.761129 | + | 0.648601i | \(0.224645\pi\) | |||||||
\(384\) | −7.93675 | + | 8.06276i | −0.405020 | + | 0.411451i | ||||
\(385\) | − | 0.0423246i | − | 0.00215706i | ||||||
\(386\) | 14.7006 | − | 1.67312i | 0.748243 | − | 0.0851594i | ||||
\(387\) | 2.25768 | 0.114765 | ||||||||
\(388\) | 1.36714 | + | 5.92831i | 0.0694061 | + | 0.300965i | ||||
\(389\) | 7.47432 | 0.378963 | 0.189481 | − | 0.981884i | \(-0.439319\pi\) | ||||
0.189481 | + | 0.981884i | \(0.439319\pi\) | |||||||
\(390\) | −7.84053 | + | 0.892350i | −0.397021 | + | 0.0451859i | ||||
\(391\) | 8.46152i | 0.427918i | ||||||||
\(392\) | 18.6641 | − | 6.60164i | 0.942678 | − | 0.333433i | ||||
\(393\) | 0.858472i | 0.0433042i | ||||||||
\(394\) | 3.50795 | + | 30.8222i | 0.176728 | + | 1.55280i | ||||
\(395\) | − | 12.2196i | − | 0.614836i | ||||||
\(396\) | −3.46759 | + | 0.799669i | −0.174253 | + | 0.0401849i | ||||
\(397\) | 4.50959 | 0.226330 | 0.113165 | − | 0.993576i | \(-0.463901\pi\) | ||||
0.113165 | + | 0.993576i | \(0.463901\pi\) | |||||||
\(398\) | 2.82437 | + | 24.8160i | 0.141573 | + | 1.24391i | ||||
\(399\) | − | 0.124766i | − | 0.00624613i | ||||||
\(400\) | 14.7546 | − | 7.18744i | 0.737732 | − | 0.359372i | ||||
\(401\) | − | 33.5008i | − | 1.67295i | −0.548004 | − | 0.836476i | \(-0.684612\pi\) | ||
0.548004 | − | 0.836476i | \(-0.315388\pi\) | |||||||
\(402\) | −9.96762 | + | 5.88613i | −0.497140 | + | 0.293573i | ||||
\(403\) | 21.7676i | 1.08432i | ||||||||
\(404\) | 5.50424 | + | 23.8680i | 0.273846 | + | 1.18748i | ||||
\(405\) | − | 0.947080i | − | 0.0470608i | ||||||
\(406\) | 0.207070 | − | 0.0235671i | 0.0102767 | − | 0.00116962i | ||||
\(407\) | −10.3659 | −0.513820 | ||||||||
\(408\) | −5.55984 | + | 1.96656i | −0.275253 | + | 0.0973594i | ||||
\(409\) | − | 23.1180i | − | 1.14311i | −0.820564 | − | 0.571555i | \(-0.806341\pi\) | ||
0.820564 | − | 0.571555i | \(-0.193659\pi\) | |||||||
\(410\) | 8.78989 | − | 1.00040i | 0.434102 | − | 0.0494062i | ||||
\(411\) | 19.5425i | 0.963962i | ||||||||
\(412\) | 2.65518 | + | 11.5136i | 0.130811 | + | 0.567236i | ||||
\(413\) | 0.0636254i | 0.00313080i | ||||||||
\(414\) | −0.648998 | − | 5.70235i | −0.0318965 | − | 0.280255i | ||||
\(415\) | 13.8757 | 0.681129 | ||||||||
\(416\) | −17.8902 | − | 28.1197i | −0.877139 | − | 1.37868i | ||||
\(417\) | −3.18812 | −0.156123 | ||||||||
\(418\) | 1.41352 | + | 12.4197i | 0.0691373 | + | 0.607467i | ||||
\(419\) | 1.11408i | 0.0544262i | 0.999630 | + | 0.0272131i | \(0.00866327\pi\) | ||||
−0.999630 | + | 0.0272131i | \(0.991337\pi\) | |||||||
\(420\) | 0.0106906 | + | 0.0463577i | 0.000521650 | + | 0.00226202i | ||||
\(421\) | −8.22429 | −0.400827 | −0.200414 | − | 0.979711i | \(-0.564229\pi\) | ||||
−0.200414 | + | 0.979711i | \(0.564229\pi\) | |||||||
\(422\) | 2.13587 | + | 18.7666i | 0.103973 | + | 0.913543i | ||||
\(423\) | − | 11.4405i | − | 0.556255i | ||||||
\(424\) | −7.01813 | − | 19.8416i | −0.340831 | − | 0.963593i | ||||
\(425\) | 8.55501 | 0.414979 | ||||||||
\(426\) | −0.291891 | − | 2.56466i | −0.0141421 | − | 0.124258i | ||||
\(427\) | 0.0609184i | 0.00294805i | ||||||||
\(428\) | 1.51443 | + | 6.56701i | 0.0732028 | + | 0.317428i | ||||
\(429\) | − | 10.4831i | − | 0.506127i | ||||||
\(430\) | 0.341948 | + | 3.00449i | 0.0164902 | + | 0.144889i | ||||
\(431\) | 3.87687i | 0.186742i | 0.995631 | + | 0.0933712i | \(0.0297643\pi\) | ||||
−0.995631 | + | 0.0933712i | \(0.970236\pi\) | |||||||
\(432\) | 3.59603 | − | 1.75174i | 0.173014 | − | 0.0842804i | ||||
\(433\) | − | 19.7299i | − | 0.948159i | −0.880482 | − | 0.474080i | \(-0.842781\pi\) | ||
0.880482 | − | 0.474080i | \(-0.157219\pi\) | |||||||
\(434\) | 0.130392 | − | 0.0148402i | 0.00625900 | − | 0.000712353i | ||||
\(435\) | − | 5.55683i | − | 0.266429i | ||||||
\(436\) | −4.91465 | − | 21.3113i | −0.235369 | − | 1.02063i | ||||
\(437\) | −20.1592 | −0.964347 | ||||||||
\(438\) | 12.7623 | − | 1.45251i | 0.609807 | − | 0.0694036i | ||||
\(439\) | − | 22.7099i | − | 1.08388i | −0.840416 | − | 0.541941i | \(-0.817690\pi\) | ||
0.840416 | − | 0.541941i | \(-0.182310\pi\) | |||||||
\(440\) | −1.58939 | − | 4.49349i | −0.0757710 | − | 0.214219i | ||||
\(441\) | −6.99937 | −0.333303 | ||||||||
\(442\) | −1.96455 | − | 17.2613i | −0.0934442 | − | 0.821037i | ||||
\(443\) | 30.8156 | 1.46409 | 0.732046 | − | 0.681255i | \(-0.238565\pi\) | ||||
0.732046 | + | 0.681255i | \(0.238565\pi\) | |||||||
\(444\) | 11.3537 | − | 2.61830i | 0.538822 | − | 0.124259i | ||||
\(445\) | 9.46758i | 0.448806i | ||||||||
\(446\) | 0.844486 | + | 7.41998i | 0.0399876 | + | 0.351346i | ||||
\(447\) | −3.18333 | −0.150566 | ||||||||
\(448\) | −0.156245 | + | 0.126336i | −0.00738187 | + | 0.00596881i | ||||
\(449\) | −30.8425 | −1.45555 | −0.727774 | − | 0.685817i | \(-0.759445\pi\) | ||||
−0.727774 | + | 0.685817i | \(0.759445\pi\) | |||||||
\(450\) | −5.76535 | + | 0.656169i | −0.271781 | + | 0.0309321i | ||||
\(451\) | 11.7524i | 0.553398i | ||||||||
\(452\) | −5.63711 | − | 24.4441i | −0.265147 | − | 1.14975i | ||||
\(453\) | 9.58369i | 0.450281i | ||||||||
\(454\) | 0.480476 | + | 4.22164i | 0.0225498 | + | 0.198132i | ||||
\(455\) | −0.140146 | −0.00657016 | ||||||||
\(456\) | −4.68526 | − | 13.2461i | −0.219407 | − | 0.620306i | ||||
\(457\) | 13.6098 | 0.636641 | 0.318321 | − | 0.947983i | \(-0.396881\pi\) | ||||
0.318321 | + | 0.947983i | \(0.396881\pi\) | |||||||
\(458\) | 2.68095 | + | 23.5559i | 0.125273 | + | 1.10069i | ||||
\(459\) | 2.08504 | 0.0973215 | ||||||||
\(460\) | 7.49029 | − | 1.72735i | 0.349236 | − | 0.0805382i | ||||
\(461\) | 16.1508 | 0.752219 | 0.376110 | − | 0.926575i | \(-0.377262\pi\) | ||||
0.376110 | + | 0.926575i | \(0.377262\pi\) | |||||||
\(462\) | −0.0627952 | + | 0.00714688i | −0.00292150 | + | 0.000332503i | ||||
\(463\) | −25.4577 | −1.18312 | −0.591560 | − | 0.806261i | \(-0.701488\pi\) | ||||
−0.591560 | + | 0.806261i | \(0.701488\pi\) | |||||||
\(464\) | 21.0991 | − | 10.2780i | 0.979499 | − | 0.477144i | ||||
\(465\) | − | 3.49913i | − | 0.162268i | ||||||
\(466\) | −2.37560 | − | 20.8730i | −0.110048 | − | 0.966922i | ||||
\(467\) | 19.5912i | 0.906574i | 0.891365 | + | 0.453287i | \(0.149749\pi\) | ||||
−0.891365 | + | 0.453287i | \(0.850251\pi\) | |||||||
\(468\) | 2.64788 | + | 11.4820i | 0.122398 | + | 0.530754i | ||||
\(469\) | −0.187710 | + | 0.0838484i | −0.00866765 | + | 0.00387176i | ||||
\(470\) | 15.2248 | − | 1.73277i | 0.702268 | − | 0.0799268i | ||||
\(471\) | −0.495196 | −0.0228174 | ||||||||
\(472\) | 2.38928 | + | 6.75494i | 0.109975 | + | 0.310921i | ||||
\(473\) | −4.01710 | −0.184707 | ||||||||
\(474\) | −18.1297 | + | 2.06339i | −0.832726 | + | 0.0947746i | ||||
\(475\) | 20.3820i | 0.935189i | ||||||||
\(476\) | −0.102059 | + | 0.0235360i | −0.00467785 | + | 0.00107877i | ||||
\(477\) | 7.44096i | 0.340698i | ||||||||
\(478\) | 35.4978 | − | 4.04010i | 1.62363 | − | 0.184790i | ||||
\(479\) | 11.1131i | 0.507772i | 0.967234 | + | 0.253886i | \(0.0817088\pi\) | ||||
−0.967234 | + | 0.253886i | \(0.918291\pi\) | |||||||
\(480\) | 2.87583 | + | 4.52021i | 0.131263 | + | 0.206319i | ||||
\(481\) | 34.3239i | 1.56503i | ||||||||
\(482\) | 29.9443 | − | 3.40804i | 1.36393 | − | 0.155232i | ||||
\(483\) | − | 0.101927i | − | 0.00463785i | ||||||
\(484\) | −15.2674 | + | 3.52086i | −0.693975 | + | 0.160039i | ||||
\(485\) | 2.88098 | 0.130818 | ||||||||
\(486\) | −1.40514 | + | 0.159923i | −0.0637385 | + | 0.00725424i | ||||
\(487\) | −2.88454 | −0.130711 | −0.0653556 | − | 0.997862i | \(-0.520818\pi\) | ||||
−0.0653556 | + | 0.997862i | \(0.520818\pi\) | |||||||
\(488\) | 2.28762 | + | 6.46754i | 0.103556 | + | 0.292772i | ||||
\(489\) | − | 18.2942i | − | 0.827294i | ||||||
\(490\) | −1.06012 | − | 9.31464i | −0.0478914 | − | 0.420792i | ||||
\(491\) | − | 16.4591i | − | 0.742788i | −0.928475 | − | 0.371394i | \(-0.878880\pi\) | ||
0.928475 | − | 0.371394i | \(-0.121120\pi\) | |||||||
\(492\) | −2.96850 | − | 12.8723i | −0.133830 | − | 0.580326i | ||||
\(493\) | 12.2336 | 0.550975 | ||||||||
\(494\) | 41.1244 | − | 4.68046i | 1.85027 | − | 0.210584i | ||||
\(495\) | 1.68514i | 0.0757415i | ||||||||
\(496\) | 13.2861 | − | 6.47205i | 0.596562 | − | 0.290604i | ||||
\(497\) | − | 0.0458423i | − | 0.00205631i | ||||||
\(498\) | −2.34302 | − | 20.5867i | −0.104993 | − | 0.922513i | ||||
\(499\) | −20.7269 | −0.927864 | −0.463932 | − | 0.885871i | \(-0.653562\pi\) | ||||
−0.463932 | + | 0.885871i | \(0.653562\pi\) | |||||||
\(500\) | −3.87466 | − | 16.8016i | −0.173280 | − | 0.751392i | ||||
\(501\) | − | 9.79844i | − | 0.437762i | ||||||
\(502\) | 5.84840 | − | 0.665621i | 0.261027 | − | 0.0297081i | ||||
\(503\) | −27.2712 | −1.21596 | −0.607982 | − | 0.793951i | \(-0.708021\pi\) | ||||
−0.607982 | + | 0.793951i | \(0.708021\pi\) | |||||||
\(504\) | 0.0669737 | − | 0.0236891i | 0.00298324 | − | 0.00105520i | ||||
\(505\) | 11.5991 | 0.516153 | ||||||||
\(506\) | 1.15476 | + | 10.1462i | 0.0513355 | + | 0.451054i | ||||
\(507\) | −21.7117 | −0.964253 | ||||||||
\(508\) | 8.22942 | + | 35.6851i | 0.365121 | + | 1.58327i | ||||
\(509\) | −27.3306 | −1.21141 | −0.605704 | − | 0.795690i | \(-0.707108\pi\) | ||||
−0.605704 | + | 0.795690i | \(0.707108\pi\) | |||||||
\(510\) | 0.315800 | + | 2.77474i | 0.0139839 | + | 0.122868i | ||||
\(511\) | 0.228121 | 0.0100915 | ||||||||
\(512\) | −11.8439 | + | 19.2801i | −0.523431 | + | 0.852068i | ||||
\(513\) | 4.96753i | 0.219322i | ||||||||
\(514\) | −7.11652 | + | 0.809948i | −0.313896 | + | 0.0357253i | ||||
\(515\) | 5.59527 | 0.246557 | ||||||||
\(516\) | 4.39989 | − | 1.01467i | 0.193694 | − | 0.0446682i | ||||
\(517\) | 20.3561i | 0.895259i | ||||||||
\(518\) | 0.205606 | − | 0.0234005i | 0.00903380 | − | 0.00102816i | ||||
\(519\) | 4.12328 | 0.180992 | ||||||||
\(520\) | −14.8790 | + | 5.26281i | −0.652486 | + | 0.230790i | ||||
\(521\) | − | 37.7366i | − | 1.65327i | −0.562737 | − | 0.826636i | \(-0.690252\pi\) | ||
0.562737 | − | 0.826636i | \(-0.309748\pi\) | |||||||
\(522\) | −8.24442 | + | 0.938318i | −0.360849 | + | 0.0410691i | ||||
\(523\) | 0.772841i | 0.0337940i | 0.999857 | + | 0.0168970i | \(0.00537873\pi\) | ||||
−0.999857 | + | 0.0168970i | \(0.994621\pi\) | |||||||
\(524\) | 0.385822 | + | 1.67303i | 0.0168547 | + | 0.0730868i | ||||
\(525\) | −0.103053 | −0.00449762 | ||||||||
\(526\) | −3.70977 | − | 32.5954i | −0.161754 | − | 1.42123i | ||||
\(527\) | 7.70350 | 0.335570 | ||||||||
\(528\) | −6.39842 | + | 3.11687i | −0.278456 | + | 0.135644i | ||||
\(529\) | 6.53102 | 0.283957 | ||||||||
\(530\) | −9.90230 | + | 1.12701i | −0.430128 | + | 0.0489540i | ||||
\(531\) | − | 2.53323i | − | 0.109933i | ||||||
\(532\) | −0.0560735 | − | 0.243151i | −0.00243109 | − | 0.0105419i | ||||
\(533\) | 38.9148 | 1.68559 | ||||||||
\(534\) | 14.0466 | − | 1.59868i | 0.607857 | − | 0.0691817i | ||||
\(535\) | 3.19136 | 0.137975 | ||||||||
\(536\) | −16.7800 | + | 15.9509i | −0.724786 | + | 0.688974i | ||||
\(537\) | −3.42794 | −0.147926 | ||||||||
\(538\) | −32.6067 | + | 3.71104i | −1.40577 | + | 0.159994i | ||||
\(539\) | 12.4540 | 0.536432 | ||||||||
\(540\) | −0.425645 | − | 1.84572i | −0.0183168 | − | 0.0794270i | ||||
\(541\) | 37.0313i | 1.59210i | 0.605230 | + | 0.796051i | \(0.293081\pi\) | ||||
−0.605230 | + | 0.796051i | \(0.706919\pi\) | |||||||
\(542\) | −43.2561 | + | 4.92309i | −1.85801 | + | 0.211465i | ||||
\(543\) | −19.6517 | −0.843337 | ||||||||
\(544\) | −9.95147 | + | 6.33129i | −0.426666 | + | 0.271452i | ||||
\(545\) | −10.3566 | −0.443630 | ||||||||
\(546\) | 0.0236649 | + | 0.207929i | 0.00101276 | + | 0.00889854i | ||||
\(547\) | −36.4076 | −1.55667 | −0.778337 | − | 0.627846i | \(-0.783937\pi\) | ||||
−0.778337 | + | 0.627846i | \(0.783937\pi\) | |||||||
\(548\) | 8.78297 | + | 38.0855i | 0.375190 | + | 1.62693i | ||||
\(549\) | − | 2.42545i | − | 0.103516i | ||||||
\(550\) | 10.2583 | − | 1.16752i | 0.437416 | − | 0.0497834i | ||||
\(551\) | 29.1461i | 1.24167i | ||||||||
\(552\) | −3.82760 | − | 10.8213i | −0.162913 | − | 0.460587i | ||||
\(553\) | −0.324061 | −0.0137805 | ||||||||
\(554\) | −22.9944 | + | 2.61704i | −0.976937 | + | 0.111188i | ||||
\(555\) | − | 5.51754i | − | 0.234206i | ||||||
\(556\) | −6.21316 | + | 1.43283i | −0.263497 | + | 0.0607655i | ||||
\(557\) | −16.4941 | −0.698875 | −0.349438 | − | 0.936960i | \(-0.613627\pi\) | ||||
−0.349438 | + | 0.936960i | \(0.613627\pi\) | |||||||
\(558\) | −5.19151 | + | 0.590858i | −0.219774 | + | 0.0250130i | ||||
\(559\) | 13.3015i | 0.562594i | ||||||||
\(560\) | 0.0416689 | + | 0.0855395i | 0.00176083 | + | 0.00361470i | ||||
\(561\) | −3.70992 | −0.156633 | ||||||||
\(562\) | −0.784069 | − | 6.88913i | −0.0330740 | − | 0.290601i | ||||
\(563\) | 18.8664 | 0.795123 | 0.397561 | − | 0.917576i | \(-0.369857\pi\) | ||||
0.397561 | + | 0.917576i | \(0.369857\pi\) | |||||||
\(564\) | −5.14168 | − | 22.2958i | −0.216504 | − | 0.938822i | ||||
\(565\) | −11.8791 | −0.499757 | ||||||||
\(566\) | 0.791554 | + | 6.95490i | 0.0332715 | + | 0.292336i | ||||
\(567\) | −0.0251164 | −0.00105479 | ||||||||
\(568\) | −1.72148 | − | 4.86696i | −0.0722318 | − | 0.204213i | ||||
\(569\) | 30.7310 | 1.28831 | 0.644156 | − | 0.764894i | \(-0.277209\pi\) | ||||
0.644156 | + | 0.764894i | \(0.277209\pi\) | |||||||
\(570\) | −6.61070 | + | 0.752381i | −0.276892 | + | 0.0315138i | ||||
\(571\) | − | 40.3913i | − | 1.69032i | −0.534512 | − | 0.845161i | \(-0.679505\pi\) | ||
0.534512 | − | 0.845161i | \(-0.320495\pi\) | |||||||
\(572\) | −4.71138 | − | 20.4299i | −0.196993 | − | 0.854217i | ||||
\(573\) | −2.52854 | −0.105631 | ||||||||
\(574\) | −0.0265303 | − | 0.233106i | −0.00110736 | − | 0.00972965i | ||||
\(575\) | 16.6509i | 0.694393i | ||||||||
\(576\) | 6.22084 | − | 5.03003i | 0.259202 | − | 0.209584i | ||||
\(577\) | − | 27.5479i | − | 1.14683i | −0.819264 | − | 0.573416i | \(-0.805618\pi\) | ||
0.819264 | − | 0.573416i | \(-0.194382\pi\) | |||||||
\(578\) | 17.7787 | − | 2.02344i | 0.739496 | − | 0.0841639i | ||||
\(579\) | −10.4620 | −0.434787 | ||||||||
\(580\) | −2.49740 | − | 10.8294i | −0.103699 | − | 0.449667i | ||||
\(581\) | − | 0.367979i | − | 0.0152664i | ||||||
\(582\) | −0.486478 | − | 4.27438i | −0.0201652 | − | 0.177179i | ||||
\(583\) | − | 13.2397i | − | 0.548333i | ||||||
\(584\) | 24.2190 | − | 8.56647i | 1.00219 | − | 0.354483i | ||||
\(585\) | 5.57988 | 0.230700 | ||||||||
\(586\) | −16.4583 | + | 1.87316i | −0.679885 | + | 0.0773794i | ||||
\(587\) | −0.747463 | −0.0308511 | −0.0154255 | − | 0.999881i | \(-0.504910\pi\) | ||||
−0.0154255 | + | 0.999881i | \(0.504910\pi\) | |||||||
\(588\) | −13.6407 | + | 3.14571i | −0.562534 | + | 0.129727i | ||||
\(589\) | 18.3533i | 0.756234i | ||||||||
\(590\) | 3.37117 | − | 0.383682i | 0.138789 | − | 0.0157959i | ||||
\(591\) | − | 21.9353i | − | 0.902297i | ||||||
\(592\) | 20.9499 | − | 10.2053i | 0.861035 | − | 0.419436i | ||||
\(593\) | 0.417184i | 0.0171317i | 0.999963 | + | 0.00856585i | \(0.00272663\pi\) | ||||
−0.999963 | + | 0.00856585i | \(0.997273\pi\) | |||||||
\(594\) | 2.50017 | − | 0.284551i | 0.102583 | − | 0.0116753i | ||||
\(595\) | 0.0495974i | 0.00203329i | ||||||||
\(596\) | −6.20383 | + | 1.43068i | −0.254119 | + | 0.0586029i | ||||
\(597\) | − | 17.6608i | − | 0.722809i | ||||||
\(598\) | 33.5963 | − | 3.82368i | 1.37386 | − | 0.156362i | ||||
\(599\) | −32.1017 | −1.31164 | −0.655820 | − | 0.754917i | \(-0.727677\pi\) | ||||
−0.655820 | + | 0.754917i | \(0.727677\pi\) | |||||||
\(600\) | −10.9409 | + | 3.86989i | −0.446661 | + | 0.157988i | ||||
\(601\) | −15.4178 | −0.628904 | −0.314452 | − | 0.949273i | \(-0.601821\pi\) | ||||
−0.314452 | + | 0.949273i | \(0.601821\pi\) | |||||||
\(602\) | 0.0796783 | − | 0.00906838i | 0.00324744 | − | 0.000369600i | ||||
\(603\) | 7.47363 | − | 3.33840i | 0.304350 | − | 0.135950i | ||||
\(604\) | 4.30718 | + | 18.6772i | 0.175257 | + | 0.759964i | ||||
\(605\) | 7.41951i | 0.301646i | ||||||||
\(606\) | −1.95861 | − | 17.2091i | −0.0795630 | − | 0.699071i | ||||
\(607\) | − | 20.1129i | − | 0.816359i | −0.912902 | − | 0.408179i | \(-0.866164\pi\) | ||
0.912902 | − | 0.408179i | \(-0.133836\pi\) | |||||||
\(608\) | −15.0840 | − | 23.7090i | −0.611738 | − | 0.961526i | ||||
\(609\) | −0.147366 | −0.00597156 | ||||||||
\(610\) | 3.22774 | − | 0.367357i | 0.130687 | − | 0.0148739i | ||||
\(611\) | 67.4035 | 2.72686 | ||||||||
\(612\) | 4.06344 | − | 0.937077i | 0.164255 | − | 0.0378791i | ||||
\(613\) | 24.5352 | 0.990969 | 0.495485 | − | 0.868617i | \(-0.334991\pi\) | ||||
0.495485 | + | 0.868617i | \(0.334991\pi\) | |||||||
\(614\) | 1.87126 | + | 16.4416i | 0.0755180 | + | 0.663530i | ||||
\(615\) | −6.25551 | −0.252247 | ||||||||
\(616\) | −0.119166 | + | 0.0421501i | −0.00480135 | + | 0.00169828i | ||||
\(617\) | −33.2831 | −1.33993 | −0.669963 | − | 0.742394i | \(-0.733690\pi\) | ||||
−0.669963 | + | 0.742394i | \(0.733690\pi\) | |||||||
\(618\) | −0.944809 | − | 8.30146i | −0.0380058 | − | 0.333934i | ||||
\(619\) | − | 39.5688i | − | 1.59040i | −0.606346 | − | 0.795201i | \(-0.707365\pi\) | ||
0.606346 | − | 0.795201i | \(-0.292635\pi\) | |||||||
\(620\) | −1.57261 | − | 6.81928i | −0.0631575 | − | 0.273869i | ||||
\(621\) | 4.05820i | 0.162850i | ||||||||
\(622\) | −12.6663 | + | 1.44159i | −0.507874 | + | 0.0578024i | ||||
\(623\) | 0.251078 | 0.0100592 | ||||||||
\(624\) | 10.3206 | + | 21.1866i | 0.413157 | + | 0.848143i | ||||
\(625\) | 12.3501 | 0.494005 | ||||||||
\(626\) | 2.29661 | + | 20.1789i | 0.0917909 | + | 0.806510i | ||||
\(627\) | − | 8.83874i | − | 0.352985i | ||||||
\(628\) | −0.965062 | + | 0.222555i | −0.0385102 | + | 0.00888091i | ||||
\(629\) | 12.1471 | 0.484338 | ||||||||
\(630\) | −0.00380411 | − | 0.0334244i | −0.000151560 | − | 0.00133166i | ||||
\(631\) | 28.0832 | 1.11797 | 0.558987 | − | 0.829176i | \(-0.311190\pi\) | ||||
0.558987 | + | 0.829176i | \(0.311190\pi\) | |||||||
\(632\) | −34.4048 | + | 12.1692i | −1.36855 | + | 0.484066i | ||||
\(633\) | − | 13.3556i | − | 0.530839i | ||||||
\(634\) | −40.0018 | + | 4.55270i | −1.58867 | + | 0.180811i | ||||
\(635\) | 17.3419 | 0.688191 | ||||||||
\(636\) | 3.34418 | + | 14.5013i | 0.132605 | + | 0.575014i | ||||
\(637\) | − | 41.2380i | − | 1.63391i | ||||||
\(638\) | 14.6693 | − | 1.66955i | 0.580764 | − | 0.0660982i | ||||
\(639\) | 1.82520i | 0.0722037i | ||||||||
\(640\) | 7.63608 | + | 7.51674i | 0.301843 | + | 0.297125i | ||||
\(641\) | − | 20.4561i | − | 0.807969i | −0.914766 | − | 0.403985i | \(-0.867625\pi\) | ||
0.914766 | − | 0.403985i | \(-0.132375\pi\) | |||||||
\(642\) | −0.538889 | − | 4.73488i | −0.0212682 | − | 0.186871i | ||||
\(643\) | 1.91129i | 0.0753740i | 0.999290 | + | 0.0376870i | \(0.0119990\pi\) | ||||
−0.999290 | + | 0.0376870i | \(0.988001\pi\) | |||||||
\(644\) | −0.0458090 | − | 0.198641i | −0.00180513 | − | 0.00782754i | ||||
\(645\) | − | 2.13821i | − | 0.0841919i | ||||||
\(646\) | −1.65640 | − | 14.5538i | −0.0651703 | − | 0.572611i | ||||
\(647\) | −12.7036 | −0.499429 | −0.249714 | − | 0.968320i | \(-0.580337\pi\) | ||||
−0.249714 | + | 0.968320i | \(0.580337\pi\) | |||||||
\(648\) | −2.66654 | + | 0.943176i | −0.104751 | + | 0.0370515i | ||||
\(649\) | 4.50738i | 0.176930i | ||||||||
\(650\) | −3.86593 | − | 33.9675i | −0.151634 | − | 1.33232i | ||||
\(651\) | −0.0927961 | −0.00363697 | ||||||||
\(652\) | −8.22195 | − | 35.6527i | −0.321996 | − | 1.39627i | ||||
\(653\) | 42.9720i | 1.68162i | 0.541327 | + | 0.840812i | \(0.317922\pi\) | ||||
−0.541327 | + | 0.840812i | \(0.682078\pi\) | |||||||
\(654\) | 1.74881 | + | 15.3657i | 0.0683838 | + | 0.600846i | ||||
\(655\) | 0.813042 | 0.0317682 | ||||||||
\(656\) | −11.5703 | − | 23.7520i | −0.451745 | − | 0.927358i | ||||
\(657\) | −9.08258 | −0.354345 | ||||||||
\(658\) | −0.0459527 | − | 0.403758i | −0.00179142 | − | 0.0157401i | ||||
\(659\) | 13.7403i | 0.535245i | 0.963524 | + | 0.267623i | \(0.0862381\pi\) | ||||
−0.963524 | + | 0.267623i | \(0.913762\pi\) | |||||||
\(660\) | 0.757351 | + | 3.28409i | 0.0294798 | + | 0.127833i | ||||
\(661\) | − | 13.7809i | − | 0.536015i | −0.963417 | − | 0.268008i | \(-0.913635\pi\) | ||
0.963417 | − | 0.268008i | \(-0.0863653\pi\) | |||||||
\(662\) | −17.0802 | + | 1.94394i | −0.663841 | + | 0.0755533i | ||||
\(663\) | 12.2844i | 0.477086i | ||||||||
\(664\) | −13.8185 | − | 39.0674i | −0.536260 | − | 1.51611i | ||||
\(665\) | −0.118164 | −0.00458219 | ||||||||
\(666\) | −8.18613 | + | 0.931684i | −0.317206 | + | 0.0361020i | ||||
\(667\) | 23.8108i | 0.921957i | ||||||||
\(668\) | −4.40370 | − | 19.0957i | −0.170384 | − | 0.738834i | ||||
\(669\) | − | 5.28059i | − | 0.204159i | ||||||
\(670\) | 5.57463 | + | 9.44014i | 0.215367 | + | 0.364704i | ||||
\(671\) | 4.31560i | 0.166602i | ||||||||
\(672\) | 0.119875 | − | 0.0762664i | 0.00462428 | − | 0.00294204i | ||||
\(673\) | 12.7527i | 0.491581i | 0.969323 | + | 0.245791i | \(0.0790476\pi\) | ||||
−0.969323 | + | 0.245791i | \(0.920952\pi\) | |||||||
\(674\) | 3.97453 | + | 34.9217i | 0.153093 | + | 1.34514i | ||||
\(675\) | 4.10304 | 0.157926 | ||||||||
\(676\) | −42.3129 | + | 9.75787i | −1.62742 | + | 0.375303i | ||||
\(677\) | − | 4.49207i | − | 0.172644i | −0.996267 | − | 0.0863220i | \(-0.972489\pi\) | ||
0.996267 | − | 0.0863220i | \(-0.0275114\pi\) | |||||||
\(678\) | 2.00589 | + | 17.6245i | 0.0770356 | + | 0.676864i | ||||
\(679\) | − | 0.0764028i | − | 0.00293207i | ||||||
\(680\) | 1.86249 | + | 5.26562i | 0.0714233 | + | 0.201927i | ||||
\(681\) | − | 3.00443i | − | 0.115130i | ||||||
\(682\) | 9.23726 | − | 1.05132i | 0.353713 | − | 0.0402570i | ||||
\(683\) | 12.7534 | 0.487996 | 0.243998 | − | 0.969776i | \(-0.421541\pi\) | ||||
0.243998 | + | 0.969776i | \(0.421541\pi\) | |||||||
\(684\) | 2.23255 | + | 9.68097i | 0.0853636 | + | 0.370161i | ||||
\(685\) | 18.5084 | 0.707168 | ||||||||
\(686\) | −0.494066 | + | 0.0562309i | −0.0188635 | + | 0.00214691i | ||||
\(687\) | − | 16.7641i | − | 0.639589i | ||||||
\(688\) | 8.11869 | − | 3.95487i | 0.309522 | − | 0.150778i | ||||
\(689\) | −43.8397 | −1.67016 | ||||||||
\(690\) | −5.40058 | + | 0.614653i | −0.205597 | + | 0.0233995i | ||||
\(691\) | 14.3784i | 0.546982i | 0.961875 | + | 0.273491i | \(0.0881784\pi\) | ||||
−0.961875 | + | 0.273491i | \(0.911822\pi\) | |||||||
\(692\) | 8.03565 | − | 1.85312i | 0.305470 | − | 0.0704450i | ||||
\(693\) | 0.0446896 | 0.00169762 | ||||||||
\(694\) | −1.85374 | + | 0.210978i | −0.0703669 | + | 0.00800863i | ||||
\(695\) | 3.01940i | 0.114533i | ||||||||
\(696\) | −15.6454 | + | 5.53392i | −0.593039 | + | 0.209763i | ||||
\(697\) | − | 13.7718i | − | 0.521645i | ||||||
\(698\) | −12.4257 | + | 1.41420i | −0.470320 | + | 0.0535283i | ||||
\(699\) | 14.8547i | 0.561857i | ||||||||
\(700\) | −0.200836 | + | 0.0463151i | −0.00759087 | + | 0.00175055i | ||||
\(701\) | − | 18.2445i | − | 0.689084i | −0.938771 | − | 0.344542i | \(-0.888034\pi\) | ||
0.938771 | − | 0.344542i | \(-0.111966\pi\) | |||||||
\(702\) | −0.942211 | − | 8.27863i | −0.0355615 | − | 0.312457i | ||||
\(703\) | 28.9400i | 1.09149i | ||||||||
\(704\) | −11.0688 | + | 8.94994i | −0.417169 | + | 0.337314i | ||||
\(705\) | −10.8351 | −0.408072 | ||||||||
\(706\) | −1.30979 | − | 11.5083i | −0.0492945 | − | 0.433120i | ||||
\(707\) | − | 0.307605i | − | 0.0115687i | ||||||
\(708\) | −1.13850 | − | 4.93688i | −0.0427876 | − | 0.185539i | ||||
\(709\) | 9.58820 | 0.360092 | 0.180046 | − | 0.983658i | \(-0.442375\pi\) | ||||
0.180046 | + | 0.983658i | \(0.442375\pi\) | |||||||
\(710\) | −2.42894 | + | 0.276444i | −0.0911565 | + | 0.0103748i | ||||
\(711\) | 12.9024 | 0.483878 | ||||||||
\(712\) | 26.6563 | − | 9.42855i | 0.998987 | − | 0.353350i | ||||
\(713\) | 14.9936i | 0.561516i | ||||||||
\(714\) | 0.0735855 | − | 0.00837494i | 0.00275387 | − | 0.000313424i | ||||
\(715\) | −9.92830 | −0.371297 | ||||||||
\(716\) | −6.68054 | + | 1.54061i | −0.249663 | + | 0.0575754i | ||||
\(717\) | −25.2628 | −0.943457 | ||||||||
\(718\) | 3.75558 | + | 32.9980i | 0.140157 | + | 1.23147i | ||||
\(719\) | − | 25.6628i | − | 0.957063i | −0.878070 | − | 0.478531i | \(-0.841169\pi\) | ||
0.878070 | − | 0.478531i | \(-0.158831\pi\) | |||||||
\(720\) | −1.65903 | − | 3.40573i | −0.0618286 | − | 0.126924i | ||||
\(721\) | − | 0.148385i | − | 0.00552615i | ||||||
\(722\) | 7.97610 | − | 0.907780i | 0.296840 | − | 0.0337841i | ||||
\(723\) | −21.3105 | −0.792547 | ||||||||
\(724\) | −38.2983 | + | 8.83205i | −1.42334 | + | 0.328240i | ||||
\(725\) | 24.0739 | 0.894081 | ||||||||
\(726\) | 11.0080 | − | 1.25285i | 0.408545 | − | 0.0464975i | ||||
\(727\) | −2.96124 | −0.109826 | −0.0549131 | − | 0.998491i | \(-0.517488\pi\) | ||||
−0.0549131 | + | 0.998491i | \(0.517488\pi\) | |||||||
\(728\) | 0.139569 | + | 0.394587i | 0.00517275 | + | 0.0146244i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −1.37564 | − | 12.0869i | −0.0509149 | − | 0.447358i | ||||
\(731\) | 4.70737 | 0.174108 | ||||||||
\(732\) | −1.09006 | − | 4.72683i | −0.0402899 | − | 0.174709i | ||||
\(733\) | − | 12.9440i | − | 0.478097i | −0.971008 | − | 0.239049i | \(-0.923164\pi\) | ||
0.971008 | − | 0.239049i | \(-0.0768355\pi\) | |||||||
\(734\) | 8.84913 | − | 1.00714i | 0.326627 | − | 0.0371743i | ||||
\(735\) | 6.62897i | 0.244513i | ||||||||
\(736\) | −12.3228 | − | 19.3689i | −0.454225 | − | 0.713948i | ||||
\(737\) | −13.2978 | + | 5.94002i | −0.489832 | + | 0.218803i | ||||
\(738\) | 1.05630 | + | 9.28104i | 0.0388829 | + | 0.341640i | ||||
\(739\) | 29.5210 | 1.08595 | 0.542974 | − | 0.839749i | \(-0.317298\pi\) | ||||
0.542974 | + | 0.839749i | \(0.317298\pi\) | |||||||
\(740\) | −2.47974 | − | 10.7528i | −0.0911569 | − | 0.395283i | ||||
\(741\) | −29.2670 | −1.07515 | ||||||||
\(742\) | 0.0298879 | + | 0.262607i | 0.00109722 | + | 0.00964060i | ||||
\(743\) | − | 43.6088i | − | 1.59985i | −0.600099 | − | 0.799926i | \(-0.704872\pi\) | ||
0.600099 | − | 0.799926i | \(-0.295128\pi\) | |||||||
\(744\) | −9.85192 | + | 3.48470i | −0.361189 | + | 0.127755i | ||||
\(745\) | 3.01487i | 0.110456i | ||||||||
\(746\) | −2.57523 | − | 22.6269i | −0.0942858 | − | 0.828431i | ||||
\(747\) | 14.6510i | 0.536051i | ||||||||
\(748\) | −7.23008 | + | 1.66734i | −0.264358 | + | 0.0609641i | ||||
\(749\) | − | 0.0846342i | − | 0.00309246i | ||||||
\(750\) | 1.37874 | + | 12.1142i | 0.0503446 | + | 0.442347i | ||||
\(751\) | 47.3689i | 1.72852i | 0.503049 | + | 0.864258i | \(0.332212\pi\) | ||||
−0.503049 | + | 0.864258i | \(0.667788\pi\) | |||||||
\(752\) | −20.0407 | − | 41.1403i | −0.730810 | − | 1.50023i | ||||
\(753\) | −4.16214 | −0.151677 | ||||||||
\(754\) | −5.52826 | − | 48.5734i | −0.201327 | − | 1.76894i | ||||
\(755\) | 9.07653 | 0.330329 | ||||||||
\(756\) | −0.0489480 | + | 0.0112880i | −0.00178022 | + | 0.000410541i | ||||
\(757\) | 12.6050i | 0.458135i | 0.973411 | + | 0.229067i | \(0.0735676\pi\) | ||||
−0.973411 | + | 0.229067i | \(0.926432\pi\) | |||||||
\(758\) | 41.5918 | − | 4.73367i | 1.51068 | − | 0.171935i | ||||
\(759\) | − | 7.22076i | − | 0.262097i | ||||||
\(760\) | −12.5451 | + | 4.43731i | −0.455060 | + | 0.160958i | ||||
\(761\) | −37.0014 | −1.34130 | −0.670649 | − | 0.741774i | \(-0.733984\pi\) | ||||
−0.670649 | + | 0.741774i | \(0.733984\pi\) | |||||||
\(762\) | −2.92832 | − | 25.7294i | −0.106082 | − | 0.932076i | ||||
\(763\) | 0.274656i | 0.00994320i | ||||||||
\(764\) | −4.92774 | + | 1.13640i | −0.178279 | + | 0.0411134i | ||||
\(765\) | − | 1.97470i | − | 0.0713956i | ||||||
\(766\) | −41.8608 | + | 4.76428i | −1.51249 | + | 0.172141i | ||||
\(767\) | 14.9249 | 0.538908 | ||||||||
\(768\) | 9.86284 | − | 12.5986i | 0.355895 | − | 0.454612i | ||||
\(769\) | 43.1762i | 1.55697i | 0.627660 | + | 0.778487i | \(0.284013\pi\) | ||||
−0.627660 | + | 0.778487i | \(0.715987\pi\) | |||||||
\(770\) | 0.00676867 | + | 0.0594721i | 0.000243926 | + | 0.00214323i | ||||
\(771\) | 5.06462 | 0.182398 | ||||||||
\(772\) | −20.3889 | + | 4.70193i | −0.733813 | + | 0.169226i | ||||
\(773\) | −41.9089 | −1.50736 | −0.753679 | − | 0.657243i | \(-0.771723\pi\) | ||||
−0.753679 | + | 0.657243i | \(0.771723\pi\) | |||||||
\(774\) | −3.17237 | + | 0.361055i | −0.114028 | + | 0.0129778i | ||||
\(775\) | 15.1593 | 0.544538 | ||||||||
\(776\) | −2.86910 | − | 8.11149i | −0.102995 | − | 0.291185i | ||||
\(777\) | −0.146324 | −0.00524934 | ||||||||
\(778\) | −10.5025 | + | 1.19531i | −0.376532 | + | 0.0428540i | ||||
\(779\) | 32.8108 | 1.17557 | ||||||||
\(780\) | 10.8744 | − | 2.50776i | 0.389364 | − | 0.0897921i | ||||
\(781\) | − | 3.24758i | − | 0.116208i | ||||||
\(782\) | −1.35319 | − | 11.8896i | −0.0483900 | − | 0.425173i | ||||
\(783\) | 5.86732 | 0.209681 | ||||||||
\(784\) | −25.1699 | + | 12.2610i | −0.898926 | + | 0.437895i | ||||
\(785\) | 0.468990i | 0.0167390i | ||||||||
\(786\) | −0.137289 | − | 1.20628i | −0.00489694 | − | 0.0430264i | ||||
\(787\) | −10.3965 | −0.370597 | −0.185298 | − | 0.982682i | \(-0.559325\pi\) | ||||
−0.185298 | + | 0.982682i | \(0.559325\pi\) | |||||||
\(788\) | −9.85833 | − | 42.7486i | −0.351189 | − | 1.52285i | ||||
\(789\) | 23.1973i | 0.825844i | ||||||||
\(790\) | 1.95419 | + | 17.1703i | 0.0695271 | + | 0.610892i | ||||
\(791\) | 0.315030i | 0.0112012i | ||||||||
\(792\) | 4.74458 | − | 1.67820i | 0.168591 | − | 0.0596321i | ||||
\(793\) | 14.2899 | 0.507450 | ||||||||
\(794\) | −6.33662 | + | 0.721186i | −0.224878 | + | 0.0255939i | ||||
\(795\) | 7.04719 | 0.249938 | ||||||||
\(796\) | −7.93727 | − | 34.4183i | −0.281329 | − | 1.21992i | ||||
\(797\) | 6.97775 | 0.247165 | 0.123582 | − | 0.992334i | \(-0.460562\pi\) | ||||
0.123582 | + | 0.992334i | \(0.460562\pi\) | |||||||
\(798\) | 0.0199530 | + | 0.175314i | 0.000706327 | + | 0.00620606i | ||||
\(799\) | − | 23.8539i | − | 0.843891i | ||||||
\(800\) | −19.5829 | + | 12.4590i | −0.692361 | + | 0.440491i | ||||
\(801\) | −9.99659 | −0.353212 | ||||||||
\(802\) | 5.35754 | + | 47.0734i | 0.189181 | + | 1.66222i | ||||
\(803\) | 16.1607 | 0.570297 | ||||||||
\(804\) | 13.0646 | − | 9.86489i | 0.460753 | − | 0.347908i | ||||
\(805\) | −0.0965332 | −0.00340235 | ||||||||
\(806\) | −3.48114 | − | 30.5866i | −0.122618 | − | 1.07737i | ||||
\(807\) | 23.2052 | 0.816863 | ||||||||
\(808\) | −11.5513 | − | 32.6576i | −0.406372 | − | 1.14889i | ||||
\(809\) | − | 44.2272i | − | 1.55495i | −0.628916 | − | 0.777473i | \(-0.716501\pi\) | ||
0.628916 | − | 0.777473i | \(-0.283499\pi\) | |||||||
\(810\) | 0.151460 | + | 1.33078i | 0.00532175 | + | 0.0467589i | ||||
\(811\) | 29.7001 | 1.04291 | 0.521457 | − | 0.853278i | \(-0.325389\pi\) | ||||
0.521457 | + | 0.853278i | \(0.325389\pi\) | |||||||
\(812\) | −0.287194 | + | 0.0662304i | −0.0100785 | + | 0.00232423i | ||||
\(813\) | 30.7842 | 1.07965 | ||||||||
\(814\) | 14.5656 | − | 1.65775i | 0.510524 | − | 0.0581040i | ||||
\(815\) | −17.3261 | −0.606907 | ||||||||
\(816\) | 7.49787 | − | 3.65245i | 0.262478 | − | 0.127861i | ||||
\(817\) | 11.2151i | 0.392367i | ||||||||
\(818\) | 3.69709 | + | 32.4840i | 0.129266 | + | 1.13578i | ||||
\(819\) | − | 0.147977i | − | 0.00517074i | ||||||
\(820\) | −12.1911 | + | 2.81141i | −0.425730 | + | 0.0981785i | ||||
\(821\) | −22.7228 | −0.793029 | −0.396515 | − | 0.918028i | \(-0.629780\pi\) | ||||
−0.396515 | + | 0.918028i | \(0.629780\pi\) | |||||||
\(822\) | −3.12530 | − | 27.4600i | −0.109007 | − | 0.957779i | ||||
\(823\) | 1.00825i | 0.0351453i | 0.999846 | + | 0.0175727i | \(0.00559384\pi\) | ||||
−0.999846 | + | 0.0175727i | \(0.994406\pi\) | |||||||
\(824\) | −5.57220 | − | 15.7537i | −0.194117 | − | 0.548805i | ||||
\(825\) | −7.30055 | −0.254172 | ||||||||
\(826\) | −0.0101751 | − | 0.0894028i | −0.000354039 | − | 0.00311072i | ||||
\(827\) | 0.134446i | 0.00467514i | 0.999997 | + | 0.00233757i | \(0.000744073\pi\) | ||||
−0.999997 | + | 0.00233757i | \(0.999256\pi\) | |||||||
\(828\) | 1.82387 | + | 7.90882i | 0.0633839 | + | 0.274850i | ||||
\(829\) | 9.43973 | 0.327855 | 0.163928 | − | 0.986472i | \(-0.447584\pi\) | ||||
0.163928 | + | 0.986472i | \(0.447584\pi\) | |||||||
\(830\) | −19.4973 | + | 2.21903i | −0.676760 | + | 0.0770238i | ||||
\(831\) | 16.3644 | 0.567676 | ||||||||
\(832\) | 29.6352 | + | 36.6511i | 1.02742 | + | 1.27065i | ||||
\(833\) | −14.5940 | −0.505652 | ||||||||
\(834\) | 4.47976 | − | 0.509852i | 0.155121 | − | 0.0176547i | ||||
\(835\) | −9.27991 | −0.321144 | ||||||||
\(836\) | −3.97238 | − | 17.2254i | −0.137388 | − | 0.595752i | ||||
\(837\) | 3.69465 | 0.127706 | ||||||||
\(838\) | −0.178166 | − | 1.56544i | −0.00615465 | − | 0.0540771i | ||||
\(839\) | 11.1921i | 0.386395i | 0.981160 | + | 0.193198i | \(0.0618858\pi\) | ||||
−0.981160 | + | 0.193198i | \(0.938114\pi\) | |||||||
\(840\) | −0.0224355 | − | 0.0634295i | −0.000774099 | − | 0.00218852i | ||||
\(841\) | 5.42549 | 0.187086 | ||||||||
\(842\) | 11.5563 | − | 1.31525i | 0.398256 | − | 0.0453265i | ||||
\(843\) | 4.90280i | 0.168861i | ||||||||
\(844\) | −6.00241 | − | 26.0281i | −0.206611 | − | 0.895926i | ||||
\(845\) | 20.5628i | 0.707381i | ||||||||
\(846\) | 1.82959 | + | 16.0755i | 0.0629027 | + | 0.552687i | ||||
\(847\) | 0.196764 | 0.00676088 | ||||||||
\(848\) | 13.0346 | + | 26.7579i | 0.447610 | + | 0.918870i | ||||
\(849\) | − | 4.94961i | − | 0.169870i | ||||||
\(850\) | −12.0210 | + | 1.36814i | −0.412317 | + | 0.0469268i | ||||
\(851\) | 23.6424i | 0.810451i | ||||||||
\(852\) | 0.820295 | + | 3.55704i | 0.0281029 | + | 0.121862i | ||||
\(853\) | 27.9647 | 0.957492 | 0.478746 | − | 0.877953i | \(-0.341091\pi\) | ||||
0.478746 | + | 0.877953i | \(0.341091\pi\) | |||||||
\(854\) | −0.00974223 | − | 0.0855990i | −0.000333372 | − | 0.00292914i | ||||
\(855\) | 4.70465 | 0.160896 | ||||||||
\(856\) | −3.17820 | − | 8.98538i | −0.108629 | − | 0.307114i | ||||
\(857\) | − | 21.0349i | − | 0.718537i | −0.933234 | − | 0.359269i | \(-0.883026\pi\) | ||
0.933234 | − | 0.359269i | \(-0.116974\pi\) | |||||||
\(858\) | 1.67648 | + | 14.7302i | 0.0572341 | + | 0.502880i | ||||
\(859\) | 23.6839i | 0.808084i | 0.914740 | + | 0.404042i | \(0.132395\pi\) | ||||
−0.914740 | + | 0.404042i | \(0.867605\pi\) | |||||||
\(860\) | −0.960971 | − | 4.16705i | −0.0327688 | − | 0.142095i | ||||
\(861\) | 0.165895i | 0.00565368i | ||||||||
\(862\) | −0.620000 | − | 5.44756i | −0.0211173 | − | 0.185545i | ||||
\(863\) | 25.2929i | 0.860980i | 0.902595 | + | 0.430490i | \(0.141659\pi\) | ||||
−0.902595 | + | 0.430490i | \(0.858341\pi\) | |||||||
\(864\) | −4.77279 | + | 3.03653i | −0.162374 | + | 0.103305i | ||||
\(865\) | − | 3.90508i | − | 0.132777i | ||||||
\(866\) | 3.15526 | + | 27.7233i | 0.107220 | + | 0.942078i | ||||
\(867\) | −12.6526 | −0.429705 | ||||||||
\(868\) | −0.180846 | + | 0.0417052i | −0.00613830 | + | 0.00141557i | ||||
\(869\) | −22.9573 | −0.778773 | ||||||||
\(870\) | 0.888663 | + | 7.80813i | 0.0301285 | + | 0.264720i | ||||
\(871\) | 19.6687 | + | 44.0321i | 0.666449 | + | 1.49197i | ||||
\(872\) | 10.3139 | + | 29.1595i | 0.349274 | + | 0.987464i | ||||
\(873\) | 3.04196i | 0.102955i | ||||||||
\(874\) | 28.3266 | − | 3.22392i | 0.958161 | − | 0.109051i | ||||
\(875\) | 0.216536i | 0.00732025i | ||||||||
\(876\) | −17.7006 | + | 4.08197i | −0.598047 | + | 0.137917i | ||||
\(877\) | 18.0196 | 0.608479 | 0.304240 | − | 0.952596i | \(-0.401598\pi\) | ||||
0.304240 | + | 0.952596i | \(0.401598\pi\) | |||||||
\(878\) | 3.63182 | + | 31.9106i | 0.122568 | + | 1.07693i | ||||
\(879\) | 11.7129 | 0.395066 | ||||||||
\(880\) | 2.95192 | + | 6.05982i | 0.0995094 | + | 0.204276i | ||||
\(881\) | −2.54610 | −0.0857803 | −0.0428901 | − | 0.999080i | \(-0.513657\pi\) | ||||
−0.0428901 | + | 0.999080i | \(0.513657\pi\) | |||||||
\(882\) | 9.83511 | − | 1.11936i | 0.331165 | − | 0.0376907i | ||||
\(883\) | 53.6049 | 1.80395 | 0.901974 | − | 0.431791i | \(-0.142118\pi\) | ||||
0.901974 | + | 0.431791i | \(0.142118\pi\) | |||||||
\(884\) | 5.52095 | + | 23.9404i | 0.185690 | + | 0.805203i | ||||
\(885\) | −2.39917 | −0.0806472 | ||||||||
\(886\) | −43.3003 | + | 4.92811i | −1.45470 | + | 0.165563i | ||||
\(887\) | 9.18543i | 0.308417i | 0.988038 | + | 0.154208i | \(0.0492827\pi\) | ||||
−0.988038 | + | 0.154208i | \(0.950717\pi\) | |||||||
\(888\) | −15.5348 | + | 5.49479i | −0.521314 | + | 0.184393i | ||||
\(889\) | − | 0.459902i | − | 0.0154246i | ||||||
\(890\) | −1.51408 | − | 13.3033i | −0.0507521 | − | 0.445927i | ||||
\(891\) | −1.77930 | −0.0596089 | ||||||||
\(892\) | −2.37325 | − | 10.2911i | −0.0794621 | − | 0.344570i | ||||
\(893\) | 56.8310 | 1.90178 | ||||||||
\(894\) | 4.47303 | − | 0.509087i | 0.149601 | − | 0.0170264i | ||||
\(895\) | 3.24653i | 0.108520i | ||||||||
\(896\) | 0.199342 | − | 0.202507i | 0.00665955 | − | 0.00676529i | ||||
\(897\) | −23.9096 | −0.798317 | ||||||||
\(898\) | 43.3381 | − | 4.93242i | 1.44621 | − | 0.164597i | ||||
\(899\) | 21.6777 | 0.722992 | ||||||||
\(900\) | 7.99620 | − | 1.84402i | 0.266540 | − | 0.0614674i | ||||
\(901\) | 15.5147i | 0.516870i | ||||||||
\(902\) | −1.87947 | − | 16.5138i | −0.0625796 | − | 0.549848i | ||||
\(903\) | −0.0567048 | −0.00188702 | ||||||||
\(904\) | 11.8301 | + | 33.4460i | 0.393464 | + | 1.11240i | ||||
\(905\) | 18.6118i | 0.618676i | ||||||||
\(906\) | −1.53265 | − | 13.4665i | −0.0509189 | − | 0.447393i | ||||
\(907\) | − | 11.9712i | − | 0.397496i | −0.980051 | − | 0.198748i | \(-0.936312\pi\) | ||
0.980051 | − | 0.198748i | \(-0.0636875\pi\) | |||||||
\(908\) | −1.35027 | − | 5.85517i | −0.0448104 | − | 0.194311i | ||||
\(909\) | 12.2472i | 0.406214i | ||||||||
\(910\) | 0.196925 | − | 0.0224126i | 0.00652802 | − | 0.000742970i | ||||
\(911\) | − | 47.7871i | − | 1.58326i | −0.611002 | − | 0.791629i | \(-0.709233\pi\) | ||
0.611002 | − | 0.791629i | \(-0.290767\pi\) | |||||||
\(912\) | 8.70180 | + | 17.8634i | 0.288146 | + | 0.591516i | ||||
\(913\) | − | 26.0685i | − | 0.862742i | ||||||
\(914\) | −19.1238 | + | 2.17652i | −0.632558 | + | 0.0719930i | ||||
\(915\) | −2.29709 | −0.0759396 | ||||||||
\(916\) | −7.53425 | − | 32.6706i | −0.248938 | − | 1.07947i | ||||
\(917\) | − | 0.0215617i | − | 0.000712030i | ||||||
\(918\) | −2.92978 | + | 0.333446i | −0.0966972 | + | 0.0110054i | ||||
\(919\) | 45.7619 | 1.50955 | 0.754773 | − | 0.655986i | \(-0.227747\pi\) | ||||
0.754773 | + | 0.655986i | \(0.227747\pi\) | |||||||
\(920\) | −10.2487 | + | 3.62504i | −0.337889 | + | 0.119514i | ||||
\(921\) | − | 11.7010i | − | 0.385562i | ||||||
\(922\) | −22.6942 | + | 2.58288i | −0.747394 | + | 0.0850628i | ||||
\(923\) | −10.7535 | −0.353954 | ||||||||
\(924\) | 0.0870933 | − | 0.0200848i | 0.00286516 | − | 0.000660740i | ||||
\(925\) | 23.9036 | 0.785947 | ||||||||
\(926\) | 35.7717 | − | 4.07127i | 1.17553 | − | 0.133790i | ||||
\(927\) | 5.90791i | 0.194041i | ||||||||
\(928\) | −28.0035 | + | 17.8163i | −0.919260 | + | 0.584848i | ||||
\(929\) | 29.2121i | 0.958417i | 0.877701 | + | 0.479209i | \(0.159076\pi\) | ||||
−0.877701 | + | 0.479209i | \(0.840924\pi\) | |||||||
\(930\) | 0.559590 | + | 4.91677i | 0.0183497 | + | 0.161227i | ||||
\(931\) | − | 34.7696i | − | 1.13953i | ||||||
\(932\) | 6.67613 | + | 28.9496i | 0.218684 | + | 0.948275i | ||||
\(933\) | 9.01428 | 0.295114 | ||||||||
\(934\) | −3.13308 | − | 27.5285i | −0.102518 | − | 0.900759i | ||||
\(935\) | 3.51359i | 0.114907i | ||||||||
\(936\) | −5.55688 | − | 15.7103i | −0.181632 | − | 0.513509i | ||||
\(937\) | 48.6220i | 1.58841i | 0.607649 | + | 0.794205i | \(0.292113\pi\) | ||||
−0.607649 | + | 0.794205i | \(0.707887\pi\) | |||||||
\(938\) | 0.250350 | − | 0.147838i | 0.00817423 | − | 0.00482708i | ||||
\(939\) | − | 14.3607i | − | 0.468645i | ||||||
\(940\) | −21.1159 | + | 4.86958i | −0.688725 | + | 0.158828i | ||||
\(941\) | 7.50585i | 0.244684i | 0.992488 | + | 0.122342i | \(0.0390404\pi\) | ||||
−0.992488 | + | 0.122342i | \(0.960960\pi\) | |||||||
\(942\) | 0.695821 | − | 0.0791931i | 0.0226711 | − | 0.00258025i | ||||
\(943\) | 26.8046 | 0.872878 | ||||||||
\(944\) | −4.43754 | − | 9.10956i | −0.144430 | − | 0.296491i | ||||
\(945\) | 0.0237872i | 0.000773798i | ||||||||
\(946\) | 5.64460 | − | 0.642426i | 0.183522 | − | 0.0208871i | ||||
\(947\) | 9.56210i | 0.310726i | 0.987857 | + | 0.155363i | \(0.0496548\pi\) | ||||
−0.987857 | + | 0.155363i | \(0.950345\pi\) | |||||||
\(948\) | 25.1449 | − | 5.79871i | 0.816667 | − | 0.188333i | ||||
\(949\) | − | 53.5115i | − | 1.73706i | ||||||
\(950\) | −3.25954 | − | 28.6396i | −0.105753 | − | 0.929190i | ||||
\(951\) | 28.4682 | 0.923143 | ||||||||
\(952\) | 0.139643 | − | 0.0493929i | 0.00452586 | − | 0.00160083i | ||||
\(953\) | 17.3531 | 0.562121 | 0.281061 | − | 0.959690i | \(-0.409314\pi\) | ||||
0.281061 | + | 0.959690i | \(0.409314\pi\) | |||||||
\(954\) | −1.18998 | − | 10.4556i | −0.0385270 | − | 0.338513i | ||||
\(955\) | 2.39473i | 0.0774916i | ||||||||
\(956\) | −49.2334 | + | 11.3538i | −1.59232 | + | 0.367209i | ||||
\(957\) | −10.4397 | −0.337469 | ||||||||
\(958\) | −1.77724 | − | 15.6155i | −0.0574201 | − | 0.504515i | ||||
\(959\) | − | 0.490837i | − | 0.0158500i | ||||||
\(960\) | −4.76384 | − | 5.89163i | −0.153752 | − | 0.190152i | ||||
\(961\) | −17.3496 | −0.559663 | ||||||||
\(962\) | −5.48917 | − | 48.2300i | −0.176978 | − | 1.55500i | ||||
\(963\) | 3.36968i | 0.108587i | ||||||||
\(964\) | −41.5310 | + | 9.57755i | −1.33762 | + | 0.308472i | ||||
\(965\) | 9.90838i | 0.318962i | ||||||||
\(966\) | 0.0163005 | + | 0.143222i | 0.000524459 | + | 0.00460810i | ||||
\(967\) | − | 7.98086i | − | 0.256647i | −0.991732 | − | 0.128324i | \(-0.959040\pi\) | ||
0.991732 | − | 0.128324i | \(-0.0409596\pi\) | |||||||
\(968\) | 20.8899 | − | 7.38892i | 0.671426 | − | 0.237489i | ||||
\(969\) | 10.3575i | 0.332731i | ||||||||
\(970\) | −4.04818 | + | 0.460734i | −0.129979 | + | 0.0147933i | ||||
\(971\) | 41.9664i | 1.34677i | 0.739294 | + | 0.673383i | \(0.235159\pi\) | ||||
−0.739294 | + | 0.673383i | \(0.764841\pi\) | |||||||
\(972\) | 1.94885 | − | 0.449428i | 0.0625094 | − | 0.0144154i | ||||
\(973\) | 0.0800739 | 0.00256705 | ||||||||
\(974\) | 4.05319 | − | 0.461304i | 0.129873 | − | 0.0147811i | ||||
\(975\) | 24.1737i | 0.774179i | ||||||||
\(976\) | −4.24874 | − | 8.72198i | −0.135999 | − | 0.279184i | ||||
\(977\) | −17.3280 | −0.554373 | −0.277187 | − | 0.960816i | \(-0.589402\pi\) | ||||
−0.277187 | + | 0.960816i | \(0.589402\pi\) | |||||||
\(978\) | 2.92566 | + | 25.7060i | 0.0935524 | + | 0.821988i | ||||
\(979\) | 17.7870 | 0.568474 | ||||||||
\(980\) | 2.97924 | + | 12.9189i | 0.0951685 | + | 0.412678i | ||||
\(981\) | − | 10.9353i | − | 0.349138i | ||||||
\(982\) | 2.63218 | + | 23.1274i | 0.0839963 | + | 0.738024i | ||||
\(983\) | −29.5082 | −0.941166 | −0.470583 | − | 0.882356i | \(-0.655956\pi\) | ||||
−0.470583 | + | 0.882356i | \(0.655956\pi\) | |||||||
\(984\) | 6.22973 | + | 17.6126i | 0.198596 | + | 0.561470i | ||||
\(985\) | −20.7745 | −0.661930 | ||||||||
\(986\) | −17.1900 | + | 1.95643i | −0.547441 | + | 0.0623056i | ||||
\(987\) | 0.287343i | 0.00914624i | ||||||||
\(988\) | −57.0371 | + | 13.1534i | −1.81459 | + | 0.418467i | ||||
\(989\) | 9.16213i | 0.291339i | ||||||||
\(990\) | −0.269493 | − | 2.36786i | −0.00856503 | − | 0.0752557i | ||||
\(991\) | 18.7533 | 0.595719 | 0.297859 | − | 0.954610i | \(-0.403727\pi\) | ||||
0.297859 | + | 0.954610i | \(0.403727\pi\) | |||||||
\(992\) | −17.6338 | + | 11.2189i | −0.559873 | + | 0.356200i | ||||
\(993\) | 12.1555 | 0.385743 | ||||||||
\(994\) | 0.00733123 | + | 0.0644150i | 0.000232532 | + | 0.00204312i | ||||
\(995\) | −16.7262 | −0.530257 | ||||||||
\(996\) | 6.58457 | + | 28.5526i | 0.208640 | + | 0.904723i | ||||
\(997\) | 26.1704 | 0.828824 | 0.414412 | − | 0.910089i | \(-0.363987\pi\) | ||||
0.414412 | + | 0.910089i | \(0.363987\pi\) | |||||||
\(998\) | 29.1242 | − | 3.31470i | 0.921912 | − | 0.104925i | ||||
\(999\) | 5.82584 | 0.184321 |
(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.e.b.535.2 | yes | 34 | |
4.3 | odd | 2 | 804.2.e.a.535.34 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.a.535.33 | ✓ | 34 | ||
268.267 | even | 2 | inner | 804.2.e.b.535.1 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.33 | ✓ | 34 | 67.66 | odd | 2 | ||
804.2.e.a.535.34 | yes | 34 | 4.3 | odd | 2 | ||
804.2.e.b.535.1 | yes | 34 | 268.267 | even | 2 | inner | |
804.2.e.b.535.2 | yes | 34 | 1.1 | even | 1 | trivial |