Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(13,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bh (of order \(36\), degree \(12\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 67.5 | ||
Character | \(\chi\) | \(=\) | 570.67 |
Dual form | 570.2.bh.a.553.5 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.819152 | − | 0.573576i | −0.579228 | − | 0.405580i | ||||
\(3\) | 0.996195 | + | 0.0871557i | 0.575153 | + | 0.0503194i | ||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | 2.23464 | + | 0.0799806i | 0.999360 | + | 0.0357684i | ||||
\(6\) | −0.766044 | − | 0.642788i | −0.312736 | − | 0.262417i | ||||
\(7\) | 4.38798 | − | 1.17576i | 1.65850 | − | 0.444394i | 0.696526 | − | 0.717531i | \(-0.254728\pi\) |
0.961975 | + | 0.273137i | \(0.0880613\pi\) | |||||||
\(8\) | 0.258819 | − | 0.965926i | 0.0915064 | − | 0.341506i | ||||
\(9\) | 0.984808 | + | 0.173648i | 0.328269 | + | 0.0578827i | ||||
\(10\) | −1.78463 | − | 1.34725i | −0.564350 | − | 0.426038i | ||||
\(11\) | 0.242679 | + | 0.420332i | 0.0731703 | + | 0.126735i | 0.900289 | − | 0.435292i | \(-0.143355\pi\) |
−0.827119 | + | 0.562027i | \(0.810022\pi\) | |||||||
\(12\) | 0.258819 | + | 0.965926i | 0.0747146 | + | 0.278839i | ||||
\(13\) | −0.414152 | − | 4.73378i | −0.114865 | − | 1.31292i | −0.806744 | − | 0.590901i | \(-0.798772\pi\) |
0.691879 | − | 0.722014i | \(-0.256783\pi\) | |||||||
\(14\) | −4.26881 | − | 1.55372i | −1.14089 | − | 0.415249i | ||||
\(15\) | 2.21916 | + | 0.274438i | 0.572985 | + | 0.0708595i | ||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | −3.23721 | + | 4.62321i | −0.785139 | + | 1.12129i | 0.204662 | + | 0.978833i | \(0.434391\pi\) |
−0.989800 | + | 0.142461i | \(0.954498\pi\) | |||||||
\(18\) | −0.707107 | − | 0.707107i | −0.166667 | − | 0.166667i | ||||
\(19\) | −3.82192 | + | 2.09592i | −0.876810 | + | 0.480838i | ||||
\(20\) | 0.689134 | + | 2.12723i | 0.154095 | + | 0.475662i | ||||
\(21\) | 4.47376 | − | 0.788844i | 0.976254 | − | 0.172140i | ||||
\(22\) | 0.0423017 | − | 0.483510i | 0.00901875 | − | 0.103085i | ||||
\(23\) | −0.260679 | + | 0.559028i | −0.0543553 | + | 0.116565i | −0.931609 | − | 0.363461i | \(-0.881595\pi\) |
0.877254 | + | 0.480026i | \(0.159373\pi\) | |||||||
\(24\) | 0.342020 | − | 0.939693i | 0.0698146 | − | 0.191814i | ||||
\(25\) | 4.98721 | + | 0.357455i | 0.997441 | + | 0.0714911i | ||||
\(26\) | −2.37593 | + | 4.11524i | −0.465959 | + | 0.807064i | ||||
\(27\) | 0.965926 | + | 0.258819i | 0.185893 | + | 0.0498097i | ||||
\(28\) | 2.60563 | + | 3.72122i | 0.492417 | + | 0.703245i | ||||
\(29\) | −0.300407 | + | 1.70369i | −0.0557841 | + | 0.316368i | −0.999913 | − | 0.0132097i | \(-0.995795\pi\) |
0.944129 | + | 0.329577i | \(0.106906\pi\) | |||||||
\(30\) | −1.66042 | − | 1.49767i | −0.303150 | − | 0.273435i | ||||
\(31\) | −7.79740 | − | 4.50183i | −1.40045 | − | 0.808553i | −0.406015 | − | 0.913866i | \(-0.633082\pi\) |
−0.994439 | + | 0.105314i | \(0.966415\pi\) | |||||||
\(32\) | 0.996195 | − | 0.0871557i | 0.176104 | − | 0.0154071i | ||||
\(33\) | 0.205121 | + | 0.439883i | 0.0357069 | + | 0.0765738i | ||||
\(34\) | 5.30353 | − | 1.93033i | 0.909549 | − | 0.331049i | ||||
\(35\) | 9.89959 | − | 2.27644i | 1.67334 | − | 0.384788i | ||||
\(36\) | 0.173648 | + | 0.984808i | 0.0289414 | + | 0.164135i | ||||
\(37\) | −1.42266 | + | 1.42266i | −0.233883 | + | 0.233883i | −0.814311 | − | 0.580428i | \(-0.802885\pi\) |
0.580428 | + | 0.814311i | \(0.302885\pi\) | |||||||
\(38\) | 4.33291 | + | 0.475286i | 0.702891 | + | 0.0771016i | ||||
\(39\) | − | 4.75186i | − | 0.760907i | ||||||
\(40\) | 0.655622 | − | 2.13779i | 0.103663 | − | 0.338015i | ||||
\(41\) | 0.759066 | + | 0.904619i | 0.118546 | + | 0.141278i | 0.822054 | − | 0.569410i | \(-0.192828\pi\) |
−0.703508 | + | 0.710688i | \(0.748384\pi\) | |||||||
\(42\) | −4.11715 | − | 1.91986i | −0.635290 | − | 0.296241i | ||||
\(43\) | 9.62122 | − | 4.48645i | 1.46722 | − | 0.684177i | 0.485455 | − | 0.874262i | \(-0.338654\pi\) |
0.981768 | + | 0.190084i | \(0.0608761\pi\) | |||||||
\(44\) | −0.311982 | + | 0.371805i | −0.0470330 | + | 0.0560517i | ||||
\(45\) | 2.18680 | + | 0.466806i | 0.325989 | + | 0.0695874i | ||||
\(46\) | 0.534181 | − | 0.308410i | 0.0787607 | − | 0.0454725i | ||||
\(47\) | −8.53015 | + | 5.97288i | −1.24425 | + | 0.871233i | −0.995258 | − | 0.0972719i | \(-0.968988\pi\) |
−0.248992 | + | 0.968505i | \(0.580099\pi\) | |||||||
\(48\) | −0.819152 | + | 0.573576i | −0.118234 | + | 0.0827886i | ||||
\(49\) | 11.8098 | − | 6.81840i | 1.68712 | − | 0.974056i | ||||
\(50\) | −3.88025 | − | 3.15335i | −0.548751 | − | 0.445952i | ||||
\(51\) | −3.62783 | + | 4.32348i | −0.507998 | + | 0.605408i | ||||
\(52\) | 4.30665 | − | 2.00822i | 0.597225 | − | 0.278491i | ||||
\(53\) | −5.91849 | − | 2.75984i | −0.812967 | − | 0.379093i | −0.0287553 | − | 0.999586i | \(-0.509154\pi\) |
−0.784211 | + | 0.620494i | \(0.786932\pi\) | |||||||
\(54\) | −0.642788 | − | 0.766044i | −0.0874723 | − | 0.104245i | ||||
\(55\) | 0.508680 | + | 0.958698i | 0.0685904 | + | 0.129271i | ||||
\(56\) | − | 4.54277i | − | 0.607054i | ||||||
\(57\) | −3.99005 | + | 1.75484i | −0.528495 | + | 0.232435i | ||||
\(58\) | 1.22328 | − | 1.22328i | 0.160624 | − | 0.160624i | ||||
\(59\) | 0.251802 | + | 1.42804i | 0.0327818 | + | 0.185915i | 0.996802 | − | 0.0799155i | \(-0.0254650\pi\) |
−0.964020 | + | 0.265830i | \(0.914354\pi\) | |||||||
\(60\) | 0.501111 | + | 2.17919i | 0.0646932 | + | 0.281333i | ||||
\(61\) | −5.96187 | + | 2.16994i | −0.763339 | + | 0.277833i | −0.694208 | − | 0.719775i | \(-0.744245\pi\) |
−0.0691315 | + | 0.997608i | \(0.522023\pi\) | |||||||
\(62\) | 3.80511 | + | 8.16009i | 0.483250 | + | 1.03633i | ||||
\(63\) | 4.52549 | − | 0.395929i | 0.570158 | − | 0.0498823i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | −0.546869 | − | 10.6114i | −0.0678308 | − | 1.31618i | ||||
\(66\) | 0.0842814 | − | 0.477984i | 0.0103743 | − | 0.0588357i | ||||
\(67\) | 6.49173 | + | 9.27115i | 0.793091 | + | 1.13265i | 0.988395 | + | 0.151908i | \(0.0485417\pi\) |
−0.195304 | + | 0.980743i | \(0.562569\pi\) | |||||||
\(68\) | −5.45159 | − | 1.46075i | −0.661103 | − | 0.177142i | ||||
\(69\) | −0.308410 | + | 0.534181i | −0.0371282 | + | 0.0643078i | ||||
\(70\) | −9.41498 | − | 3.81342i | −1.12530 | − | 0.455791i | ||||
\(71\) | 4.14842 | − | 11.3977i | 0.492327 | − | 1.35266i | −0.406219 | − | 0.913776i | \(-0.633153\pi\) |
0.898545 | − | 0.438881i | \(-0.144625\pi\) | |||||||
\(72\) | 0.422618 | − | 0.906308i | 0.0498060 | − | 0.106809i | ||||
\(73\) | 0.370421 | − | 4.23393i | 0.0433545 | − | 0.495544i | −0.943213 | − | 0.332189i | \(-0.892213\pi\) |
0.986567 | − | 0.163355i | \(-0.0522316\pi\) | |||||||
\(74\) | 1.98137 | − | 0.349370i | 0.230330 | − | 0.0406134i | ||||
\(75\) | 4.93707 | + | 0.790759i | 0.570084 | + | 0.0913090i | ||||
\(76\) | −3.27670 | − | 2.87459i | −0.375863 | − | 0.329738i | ||||
\(77\) | 1.55908 | + | 1.55908i | 0.177673 | + | 0.177673i | ||||
\(78\) | −2.72556 | + | 3.89250i | −0.308609 | + | 0.440739i | ||||
\(79\) | 6.37120 | − | 5.34607i | 0.716816 | − | 0.601480i | −0.209686 | − | 0.977769i | \(-0.567244\pi\) |
0.926503 | + | 0.376288i | \(0.122800\pi\) | |||||||
\(80\) | −1.76324 | + | 1.37513i | −0.197136 | + | 0.153744i | ||||
\(81\) | 0.939693 | + | 0.342020i | 0.104410 | + | 0.0380022i | ||||
\(82\) | −0.102922 | − | 1.17640i | −0.0113658 | − | 0.129912i | ||||
\(83\) | 4.00820 | + | 14.9588i | 0.439957 | + | 1.64194i | 0.728918 | + | 0.684601i | \(0.240023\pi\) |
−0.288961 | + | 0.957341i | \(0.593310\pi\) | |||||||
\(84\) | 2.27139 | + | 3.93416i | 0.247829 | + | 0.429252i | ||||
\(85\) | −7.60376 | + | 10.0723i | −0.824743 | + | 1.09249i | ||||
\(86\) | −10.4546 | − | 1.84342i | −1.12735 | − | 0.198781i | ||||
\(87\) | −0.447750 | + | 1.67103i | −0.0480038 | + | 0.179153i | ||||
\(88\) | 0.468819 | − | 0.125620i | 0.0499763 | − | 0.0133911i | ||||
\(89\) | −4.83470 | − | 4.05679i | −0.512477 | − | 0.430019i | 0.349523 | − | 0.936928i | \(-0.386344\pi\) |
−0.862000 | + | 0.506909i | \(0.830788\pi\) | |||||||
\(90\) | −1.52357 | − | 1.63668i | −0.160599 | − | 0.172521i | ||||
\(91\) | −7.38307 | − | 20.2848i | −0.773956 | − | 2.12643i | ||||
\(92\) | −0.614472 | − | 0.0537593i | −0.0640631 | − | 0.00560480i | ||||
\(93\) | −7.37537 | − | 5.16429i | −0.764790 | − | 0.535512i | ||||
\(94\) | 10.4134 | 1.07406 | ||||||||
\(95\) | −8.70825 | + | 4.37795i | −0.893447 | + | 0.449168i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | 1.04179 | + | 0.729473i | 0.105778 | + | 0.0740667i | 0.625269 | − | 0.780409i | \(-0.284989\pi\) |
−0.519491 | + | 0.854476i | \(0.673878\pi\) | |||||||
\(98\) | −13.5849 | − | 1.18852i | −1.37228 | − | 0.120059i | ||||
\(99\) | 0.166002 | + | 0.456087i | 0.0166838 | + | 0.0458384i | ||||
\(100\) | 1.36983 | + | 4.80870i | 0.136983 | + | 0.480870i | ||||
\(101\) | −13.6817 | − | 11.4803i | −1.36138 | − | 1.14233i | −0.975554 | − | 0.219759i | \(-0.929473\pi\) |
−0.385823 | − | 0.922573i | \(-0.626082\pi\) | |||||||
\(102\) | 5.45159 | − | 1.46075i | 0.539788 | − | 0.144636i | ||||
\(103\) | −3.24021 | + | 12.0926i | −0.319267 | + | 1.19152i | 0.600683 | + | 0.799487i | \(0.294895\pi\) |
−0.919950 | + | 0.392035i | \(0.871771\pi\) | |||||||
\(104\) | −4.67967 | − | 0.825153i | −0.458880 | − | 0.0809129i | ||||
\(105\) | 10.0603 | − | 1.40497i | 0.981787 | − | 0.137111i | ||||
\(106\) | 3.26516 | + | 5.65543i | 0.317141 | + | 0.549304i | ||||
\(107\) | 1.89833 | + | 7.08467i | 0.183519 | + | 0.684901i | 0.994943 | + | 0.100443i | \(0.0320261\pi\) |
−0.811424 | + | 0.584458i | \(0.801307\pi\) | |||||||
\(108\) | 0.0871557 | + | 0.996195i | 0.00838657 | + | 0.0958589i | ||||
\(109\) | 7.60650 | + | 2.76854i | 0.728570 | + | 0.265178i | 0.679560 | − | 0.733620i | \(-0.262171\pi\) |
0.0490108 | + | 0.998798i | \(0.484393\pi\) | |||||||
\(110\) | 0.133200 | − | 1.07709i | 0.0127002 | − | 0.102696i | ||||
\(111\) | −1.54124 | + | 1.29325i | −0.146288 | + | 0.122750i | ||||
\(112\) | −2.60563 | + | 3.72122i | −0.246209 | + | 0.351622i | ||||
\(113\) | 2.40823 | + | 2.40823i | 0.226547 | + | 0.226547i | 0.811249 | − | 0.584702i | \(-0.198788\pi\) |
−0.584702 | + | 0.811249i | \(0.698788\pi\) | |||||||
\(114\) | 4.27500 | + | 0.851115i | 0.400390 | + | 0.0797143i | ||||
\(115\) | −0.627235 | + | 1.22838i | −0.0584899 | + | 0.114547i | ||||
\(116\) | −1.70369 | + | 0.300407i | −0.158184 | + | 0.0278921i | ||||
\(117\) | 0.414152 | − | 4.73378i | 0.0382884 | − | 0.437638i | ||||
\(118\) | 0.612826 | − | 1.31421i | 0.0564152 | − | 0.120983i | ||||
\(119\) | −8.76905 | + | 24.0928i | −0.803857 | + | 2.20858i | ||||
\(120\) | 0.839448 | − | 2.07252i | 0.0766308 | − | 0.189194i | ||||
\(121\) | 5.38221 | − | 9.32227i | 0.489292 | − | 0.847479i | ||||
\(122\) | 6.12830 | + | 1.64207i | 0.554831 | + | 0.148666i | ||||
\(123\) | 0.677335 | + | 0.967334i | 0.0610732 | + | 0.0872216i | ||||
\(124\) | 1.56347 | − | 8.86687i | 0.140404 | − | 0.796269i | ||||
\(125\) | 11.1160 | + | 1.19766i | 0.994246 | + | 0.107122i | ||||
\(126\) | −3.93416 | − | 2.27139i | −0.350483 | − | 0.202351i | ||||
\(127\) | 0.611230 | − | 0.0534757i | 0.0542379 | − | 0.00474520i | −0.0600045 | − | 0.998198i | \(-0.519111\pi\) |
0.114242 | + | 0.993453i | \(0.463556\pi\) | |||||||
\(128\) | 0.422618 | + | 0.906308i | 0.0373545 | + | 0.0801070i | ||||
\(129\) | 9.97563 | − | 3.63083i | 0.878305 | − | 0.319677i | ||||
\(130\) | −5.63849 | + | 9.00603i | −0.494528 | + | 0.789881i | ||||
\(131\) | 2.96899 | + | 16.8380i | 0.259402 | + | 1.47114i | 0.784515 | + | 0.620110i | \(0.212912\pi\) |
−0.525113 | + | 0.851033i | \(0.675977\pi\) | |||||||
\(132\) | −0.343199 | + | 0.343199i | −0.0298717 | + | 0.0298717i | ||||
\(133\) | −14.3062 | + | 13.6905i | −1.24051 | + | 1.18712i | ||||
\(134\) | − | 11.3180i | − | 0.977724i | ||||||
\(135\) | 2.13779 | + | 0.655622i | 0.183992 | + | 0.0564270i | ||||
\(136\) | 3.62783 | + | 4.32348i | 0.311084 | + | 0.370735i | ||||
\(137\) | −1.32365 | − | 0.617227i | −0.113087 | − | 0.0527333i | 0.365252 | − | 0.930909i | \(-0.380983\pi\) |
−0.478338 | + | 0.878176i | \(0.658761\pi\) | |||||||
\(138\) | 0.559028 | − | 0.260679i | 0.0475876 | − | 0.0221905i | ||||
\(139\) | −14.4881 | + | 17.2662i | −1.22886 | + | 1.46450i | −0.389409 | + | 0.921065i | \(0.627321\pi\) |
−0.839452 | + | 0.543434i | \(0.817124\pi\) | |||||||
\(140\) | 5.52501 | + | 8.52398i | 0.466948 | + | 0.720408i | ||||
\(141\) | −9.01826 | + | 5.20670i | −0.759475 | + | 0.438483i | ||||
\(142\) | −9.93563 | + | 6.95700i | −0.833780 | + | 0.583819i | ||||
\(143\) | 1.88925 | − | 1.32287i | 0.157987 | − | 0.110624i | ||||
\(144\) | −0.866025 | + | 0.500000i | −0.0721688 | + | 0.0416667i | ||||
\(145\) | −0.807562 | + | 3.78310i | −0.0670644 | + | 0.314170i | ||||
\(146\) | −2.73191 | + | 3.25577i | −0.226095 | + | 0.269449i | ||||
\(147\) | 12.3591 | − | 5.76316i | 1.01936 | − | 0.475337i | ||||
\(148\) | −1.82344 | − | 0.850282i | −0.149886 | − | 0.0698928i | ||||
\(149\) | −9.24760 | − | 11.0209i | −0.757593 | − | 0.902864i | 0.240100 | − | 0.970748i | \(-0.422820\pi\) |
−0.997693 | + | 0.0678840i | \(0.978375\pi\) | |||||||
\(150\) | −3.59065 | − | 3.47954i | −0.293176 | − | 0.284103i | ||||
\(151\) | 2.96482i | 0.241274i | 0.992697 | + | 0.120637i | \(0.0384936\pi\) | ||||
−0.992697 | + | 0.120637i | \(0.961506\pi\) | |||||||
\(152\) | 1.03532 | + | 4.23416i | 0.0839755 | + | 0.343436i | ||||
\(153\) | −3.99084 | + | 3.99084i | −0.322640 | + | 0.322640i | ||||
\(154\) | −0.382871 | − | 2.17137i | −0.0308526 | − | 0.174974i | ||||
\(155\) | −17.0643 | − | 10.6836i | −1.37064 | − | 0.858127i | ||||
\(156\) | 4.46529 | − | 1.62523i | 0.357510 | − | 0.130123i | ||||
\(157\) | −1.23267 | − | 2.64348i | −0.0983781 | − | 0.210972i | 0.850959 | − | 0.525232i | \(-0.176022\pi\) |
−0.949337 | + | 0.314260i | \(0.898244\pi\) | |||||||
\(158\) | −8.28536 | + | 0.724876i | −0.659148 | + | 0.0576680i | ||||
\(159\) | −5.65543 | − | 3.26516i | −0.448505 | − | 0.258944i | ||||
\(160\) | 2.23310 | − | 0.115085i | 0.176542 | − | 0.00909828i | ||||
\(161\) | −0.486574 | + | 2.75950i | −0.0383474 | + | 0.217479i | ||||
\(162\) | −0.573576 | − | 0.819152i | −0.0450644 | − | 0.0643587i | ||||
\(163\) | −17.3749 | − | 4.65559i | −1.36091 | − | 0.364654i | −0.496758 | − | 0.867889i | \(-0.665476\pi\) |
−0.864149 | + | 0.503235i | \(0.832143\pi\) | |||||||
\(164\) | −0.590448 | + | 1.02269i | −0.0461063 | + | 0.0798584i | ||||
\(165\) | 0.423188 | + | 0.999385i | 0.0329452 | + | 0.0778020i | ||||
\(166\) | 5.29669 | − | 14.5525i | 0.411103 | − | 1.12950i | ||||
\(167\) | −0.441258 | + | 0.946281i | −0.0341456 | + | 0.0732254i | −0.922641 | − | 0.385661i | \(-0.873974\pi\) |
0.888495 | + | 0.458886i | \(0.151751\pi\) | |||||||
\(168\) | 0.395929 | − | 4.52549i | 0.0305466 | − | 0.349149i | ||||
\(169\) | −9.43468 | + | 1.66359i | −0.725744 | + | 0.127968i | ||||
\(170\) | 12.0059 | − | 3.88940i | 0.920808 | − | 0.298304i | ||||
\(171\) | −4.12781 | + | 1.40041i | −0.315662 | + | 0.107092i | ||||
\(172\) | 7.50654 | + | 7.50654i | 0.572368 | + | 0.572368i | ||||
\(173\) | −0.873603 | + | 1.24763i | −0.0664188 | + | 0.0948559i | −0.850987 | − | 0.525186i | \(-0.823996\pi\) |
0.784568 | + | 0.620042i | \(0.212885\pi\) | |||||||
\(174\) | 1.32524 | − | 1.11201i | 0.100466 | − | 0.0843009i | ||||
\(175\) | 22.3041 | − | 4.29523i | 1.68603 | − | 0.324689i | ||||
\(176\) | −0.456087 | − | 0.166002i | −0.0343788 | − | 0.0125129i | ||||
\(177\) | 0.126382 | + | 1.44455i | 0.00949944 | + | 0.108579i | ||||
\(178\) | 1.63347 | + | 6.09620i | 0.122434 | + | 0.456929i | ||||
\(179\) | −3.04538 | − | 5.27475i | −0.227622 | − | 0.394254i | 0.729481 | − | 0.684002i | \(-0.239762\pi\) |
−0.957103 | + | 0.289748i | \(0.906429\pi\) | |||||||
\(180\) | 0.309275 | + | 2.21458i | 0.0230520 | + | 0.165065i | ||||
\(181\) | −20.4343 | − | 3.60312i | −1.51887 | − | 0.267818i | −0.648882 | − | 0.760889i | \(-0.724763\pi\) |
−0.869989 | + | 0.493071i | \(0.835874\pi\) | |||||||
\(182\) | −5.58704 | + | 20.8511i | −0.414139 | + | 1.54559i | ||||
\(183\) | −6.12830 | + | 1.64207i | −0.453017 | + | 0.121386i | ||||
\(184\) | 0.472511 | + | 0.396484i | 0.0348340 | + | 0.0292292i | ||||
\(185\) | −3.29291 | + | 3.06534i | −0.242099 | + | 0.225368i | ||||
\(186\) | 3.07943 | + | 8.46067i | 0.225795 | + | 0.620367i | ||||
\(187\) | −2.72888 | − | 0.238746i | −0.199556 | − | 0.0174589i | ||||
\(188\) | −8.53015 | − | 5.97288i | −0.622125 | − | 0.435617i | ||||
\(189\) | 4.54277 | 0.330438 | ||||||||
\(190\) | 9.64447 | + | 1.40864i | 0.699683 | + | 0.102194i | ||||
\(191\) | −15.1942 | −1.09941 | −0.549707 | − | 0.835358i | \(-0.685261\pi\) | ||||
−0.549707 | + | 0.835358i | \(0.685261\pi\) | |||||||
\(192\) | −0.819152 | − | 0.573576i | −0.0591172 | − | 0.0413943i | ||||
\(193\) | −1.54417 | − | 0.135097i | −0.111152 | − | 0.00972450i | 0.0314442 | − | 0.999506i | \(-0.489989\pi\) |
−0.142596 | + | 0.989781i | \(0.545545\pi\) | |||||||
\(194\) | −0.434980 | − | 1.19510i | −0.0312297 | − | 0.0858030i | ||||
\(195\) | 0.380057 | − | 10.6187i | 0.0272165 | − | 0.760420i | ||||
\(196\) | 10.4464 | + | 8.76556i | 0.746171 | + | 0.626111i | ||||
\(197\) | 20.9673 | − | 5.61816i | 1.49386 | − | 0.400277i | 0.582819 | − | 0.812602i | \(-0.301950\pi\) |
0.911037 | + | 0.412325i | \(0.135283\pi\) | |||||||
\(198\) | 0.125620 | − | 0.468819i | 0.00892740 | − | 0.0333175i | ||||
\(199\) | 3.60395 | + | 0.635474i | 0.255477 | + | 0.0450475i | 0.299920 | − | 0.953964i | \(-0.403040\pi\) |
−0.0444426 | + | 0.999012i | \(0.514151\pi\) | |||||||
\(200\) | 1.63606 | − | 4.72476i | 0.115687 | − | 0.334091i | ||||
\(201\) | 5.65899 | + | 9.80166i | 0.399154 | + | 0.691356i | ||||
\(202\) | 4.62255 | + | 17.2516i | 0.325241 | + | 1.21382i | ||||
\(203\) | 0.684946 | + | 7.82897i | 0.0480738 | + | 0.549486i | ||||
\(204\) | −5.30353 | − | 1.93033i | −0.371322 | − | 0.135150i | ||||
\(205\) | 1.62388 | + | 2.08221i | 0.113417 | + | 0.145428i | ||||
\(206\) | 9.59027 | − | 8.04719i | 0.668186 | − | 0.560675i | ||||
\(207\) | −0.353793 | + | 0.505269i | −0.0245903 | + | 0.0351186i | ||||
\(208\) | 3.36008 | + | 3.36008i | 0.232979 | + | 0.232979i | ||||
\(209\) | −1.80848 | − | 1.09784i | −0.125095 | − | 0.0759392i | ||||
\(210\) | −9.04679 | − | 4.61948i | −0.624288 | − | 0.318774i | ||||
\(211\) | −10.0516 | + | 1.77237i | −0.691980 | + | 0.122015i | −0.508568 | − | 0.861022i | \(-0.669825\pi\) |
−0.183411 | + | 0.983036i | \(0.558714\pi\) | |||||||
\(212\) | 0.569155 | − | 6.50548i | 0.0390898 | − | 0.446798i | ||||
\(213\) | 5.12601 | − | 10.9928i | 0.351228 | − | 0.753211i | ||||
\(214\) | 2.50858 | − | 6.89226i | 0.171483 | − | 0.471145i | ||||
\(215\) | 21.8588 | − | 9.25608i | 1.49076 | − | 0.631259i | ||||
\(216\) | 0.500000 | − | 0.866025i | 0.0340207 | − | 0.0589256i | ||||
\(217\) | −39.5079 | − | 10.5861i | −2.68197 | − | 0.718632i | ||||
\(218\) | −4.64291 | − | 6.63076i | −0.314458 | − | 0.449092i | ||||
\(219\) | 0.738022 | − | 4.18553i | 0.0498709 | − | 0.282832i | ||||
\(220\) | −0.726903 | + | 0.805897i | −0.0490078 | + | 0.0543336i | ||||
\(221\) | 23.2260 | + | 13.4095i | 1.56235 | + | 0.902023i | ||||
\(222\) | 2.00428 | − | 0.175352i | 0.134519 | − | 0.0117689i | ||||
\(223\) | −0.0354118 | − | 0.0759409i | −0.00237135 | − | 0.00508538i | 0.905119 | − | 0.425159i | \(-0.139782\pi\) |
−0.907490 | + | 0.420074i | \(0.862004\pi\) | |||||||
\(224\) | 4.26881 | − | 1.55372i | 0.285222 | − | 0.103812i | ||||
\(225\) | 4.84937 | + | 1.21804i | 0.323291 | + | 0.0812029i | ||||
\(226\) | −0.591402 | − | 3.35401i | −0.0393395 | − | 0.223105i | ||||
\(227\) | 13.7527 | − | 13.7527i | 0.912800 | − | 0.912800i | −0.0836919 | − | 0.996492i | \(-0.526671\pi\) |
0.996492 | + | 0.0836919i | \(0.0266711\pi\) | |||||||
\(228\) | −3.01369 | − | 3.14923i | −0.199587 | − | 0.208563i | ||||
\(229\) | − | 11.8705i | − | 0.784424i | −0.919875 | − | 0.392212i | \(-0.871710\pi\) | ||
0.919875 | − | 0.392212i | \(-0.128290\pi\) | |||||||
\(230\) | 1.21837 | − | 0.646459i | 0.0803368 | − | 0.0426263i | ||||
\(231\) | 1.41726 | + | 1.68903i | 0.0932490 | + | 0.111130i | ||||
\(232\) | 1.56789 | + | 0.731118i | 0.102937 | + | 0.0480003i | ||||
\(233\) | 5.89319 | − | 2.74804i | 0.386075 | − | 0.180030i | −0.219883 | − | 0.975526i | \(-0.570568\pi\) |
0.605958 | + | 0.795496i | \(0.292790\pi\) | |||||||
\(234\) | −3.05444 | + | 3.64014i | −0.199675 | + | 0.237963i | ||||
\(235\) | −19.5395 | + | 12.6650i | −1.27462 | + | 0.826171i | ||||
\(236\) | −1.25580 | + | 0.725034i | −0.0817454 | + | 0.0471957i | ||||
\(237\) | 6.81290 | − | 4.77044i | 0.442545 | − | 0.309874i | ||||
\(238\) | 21.0022 | − | 14.7059i | 1.36137 | − | 0.953243i | ||||
\(239\) | 18.7157 | − | 10.8055i | 1.21062 | − | 0.698951i | 0.247724 | − | 0.968831i | \(-0.420317\pi\) |
0.962894 | + | 0.269880i | \(0.0869839\pi\) | |||||||
\(240\) | −1.87638 | + | 1.21622i | −0.121120 | + | 0.0785066i | ||||
\(241\) | 0.794254 | − | 0.946554i | 0.0511624 | − | 0.0609729i | −0.739856 | − | 0.672765i | \(-0.765107\pi\) |
0.791019 | + | 0.611792i | \(0.209551\pi\) | |||||||
\(242\) | −9.75589 | + | 4.54924i | −0.627132 | + | 0.292436i | ||||
\(243\) | 0.906308 | + | 0.422618i | 0.0581397 | + | 0.0271110i | ||||
\(244\) | −4.07816 | − | 4.86016i | −0.261077 | − | 0.311140i | ||||
\(245\) | 26.9360 | − | 14.2921i | 1.72088 | − | 0.913088i | ||||
\(246\) | − | 1.18090i | − | 0.0752912i | ||||||
\(247\) | 11.5045 | + | 17.2241i | 0.732014 | + | 1.09595i | ||||
\(248\) | −6.36655 | + | 6.36655i | −0.404276 | + | 0.404276i | ||||
\(249\) | 2.68920 | + | 15.2512i | 0.170421 | + | 0.966506i | ||||
\(250\) | −8.41875 | − | 7.35695i | −0.532448 | − | 0.465294i | ||||
\(251\) | 1.39227 | − | 0.506744i | 0.0878792 | − | 0.0319854i | −0.297706 | − | 0.954657i | \(-0.596222\pi\) |
0.385586 | + | 0.922672i | \(0.373999\pi\) | |||||||
\(252\) | 1.91986 | + | 4.11715i | 0.120940 | + | 0.259356i | ||||
\(253\) | −0.298238 | + | 0.0260925i | −0.0187501 | + | 0.00164042i | ||||
\(254\) | −0.531363 | − | 0.306783i | −0.0333407 | − | 0.0192493i | ||||
\(255\) | −8.45268 | + | 9.37125i | −0.529327 | + | 0.586851i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −14.7691 | − | 21.0924i | −0.921269 | − | 1.31571i | −0.948731 | − | 0.316086i | \(-0.897631\pi\) |
0.0274612 | − | 0.999623i | \(-0.491258\pi\) | |||||||
\(258\) | −10.2541 | − | 2.74758i | −0.638394 | − | 0.171057i | ||||
\(259\) | −4.56989 | + | 7.91529i | −0.283959 | + | 0.491832i | ||||
\(260\) | 9.78442 | − | 4.14321i | 0.606804 | − | 0.256951i | ||||
\(261\) | −0.591686 | + | 1.62564i | −0.0366244 | + | 0.100625i | ||||
\(262\) | 7.22582 | − | 15.4958i | 0.446413 | − | 0.957335i | ||||
\(263\) | −0.526861 | + | 6.02205i | −0.0324877 | + | 0.371336i | 0.962496 | + | 0.271297i | \(0.0874524\pi\) |
−0.994983 | + | 0.100039i | \(0.968103\pi\) | |||||||
\(264\) | 0.477984 | − | 0.0842814i | 0.0294179 | − | 0.00518716i | ||||
\(265\) | −13.0049 | − | 6.64059i | −0.798887 | − | 0.407928i | ||||
\(266\) | 19.5715 | − | 3.00890i | 1.20001 | − | 0.184487i | ||||
\(267\) | −4.46273 | − | 4.46273i | −0.273114 | − | 0.273114i | ||||
\(268\) | −6.49173 | + | 9.27115i | −0.396545 | + | 0.566325i | ||||
\(269\) | 5.38600 | − | 4.51939i | 0.328390 | − | 0.275552i | −0.463653 | − | 0.886017i | \(-0.653462\pi\) |
0.792043 | + | 0.610465i | \(0.209017\pi\) | |||||||
\(270\) | −1.37513 | − | 1.76324i | −0.0836876 | − | 0.107307i | ||||
\(271\) | 11.2362 | + | 4.08966i | 0.682553 | + | 0.248429i | 0.659944 | − | 0.751315i | \(-0.270580\pi\) |
0.0226100 | + | 0.999744i | \(0.492802\pi\) | |||||||
\(272\) | −0.491899 | − | 5.62243i | −0.0298257 | − | 0.340910i | ||||
\(273\) | −5.58704 | − | 20.8511i | −0.338143 | − | 1.26197i | ||||
\(274\) | 0.730242 | + | 1.26482i | 0.0441155 | + | 0.0764103i | ||||
\(275\) | 1.06004 | + | 2.18303i | 0.0639227 | + | 0.131642i | ||||
\(276\) | −0.607448 | − | 0.107110i | −0.0365641 | − | 0.00644724i | ||||
\(277\) | 1.60743 | − | 5.99901i | 0.0965811 | − | 0.360445i | −0.900673 | − | 0.434497i | \(-0.856926\pi\) |
0.997254 | + | 0.0740514i | \(0.0235929\pi\) | |||||||
\(278\) | 21.7714 | − | 5.83363i | 1.30576 | − | 0.349878i | ||||
\(279\) | −6.89720 | − | 5.78744i | −0.412925 | − | 0.346485i | ||||
\(280\) | 0.363334 | − | 10.1515i | 0.0217133 | − | 0.606665i | ||||
\(281\) | 4.88906 | + | 13.4326i | 0.291657 | + | 0.801321i | 0.995825 | + | 0.0912872i | \(0.0290981\pi\) |
−0.704168 | + | 0.710034i | \(0.748680\pi\) | |||||||
\(282\) | 10.3738 | + | 0.907587i | 0.617749 | + | 0.0540460i | ||||
\(283\) | 18.6288 | + | 13.0441i | 1.10737 | + | 0.775389i | 0.976394 | − | 0.215997i | \(-0.0693001\pi\) |
0.130976 | + | 0.991386i | \(0.458189\pi\) | |||||||
\(284\) | 12.1292 | 0.719734 | ||||||||
\(285\) | −9.05667 | + | 3.60231i | −0.536471 | + | 0.213383i | ||||
\(286\) | −2.30635 | −0.136377 | ||||||||
\(287\) | 4.39438 | + | 3.07698i | 0.259392 | + | 0.181628i | ||||
\(288\) | 0.996195 | + | 0.0871557i | 0.0587013 | + | 0.00513570i | ||||
\(289\) | −5.08024 | − | 13.9579i | −0.298838 | − | 0.821050i | ||||
\(290\) | 2.83142 | − | 2.63574i | 0.166266 | − | 0.154776i | ||||
\(291\) | 0.974253 | + | 0.817495i | 0.0571117 | + | 0.0479224i | ||||
\(292\) | 4.10528 | − | 1.10001i | 0.240243 | − | 0.0643730i | ||||
\(293\) | 2.90086 | − | 10.8262i | 0.169470 | − | 0.632471i | −0.827958 | − | 0.560791i | \(-0.810497\pi\) |
0.997428 | − | 0.0716803i | \(-0.0228361\pi\) | |||||||
\(294\) | −13.4296 | − | 2.36800i | −0.783231 | − | 0.138105i | ||||
\(295\) | 0.448470 | + | 3.21129i | 0.0261109 | + | 0.186968i | ||||
\(296\) | 1.00597 | + | 1.74239i | 0.0584708 | + | 0.101274i | ||||
\(297\) | 0.125620 | + | 0.468819i | 0.00728919 | + | 0.0272036i | ||||
\(298\) | 1.25388 | + | 14.3320i | 0.0726356 | + | 0.830229i | ||||
\(299\) | 2.75428 | + | 1.00248i | 0.159284 | + | 0.0579746i | ||||
\(300\) | 0.945509 | + | 4.90979i | 0.0545890 | + | 0.283467i | ||||
\(301\) | 36.9428 | − | 30.9987i | 2.12935 | − | 1.78673i | ||||
\(302\) | 1.70055 | − | 2.42864i | 0.0978557 | − | 0.139752i | ||||
\(303\) | −12.6290 | − | 12.6290i | −0.725519 | − | 0.725519i | ||||
\(304\) | 1.58053 | − | 4.06226i | 0.0906496 | − | 0.232986i | ||||
\(305\) | −13.4962 | + | 4.37220i | −0.772788 | + | 0.250351i | ||||
\(306\) | 5.55816 | − | 0.980053i | 0.317739 | − | 0.0560259i | ||||
\(307\) | −1.48985 | + | 17.0290i | −0.0850301 | + | 0.971898i | 0.827116 | + | 0.562032i | \(0.189980\pi\) |
−0.912146 | + | 0.409866i | \(0.865575\pi\) | |||||||
\(308\) | −0.931817 | + | 1.99829i | −0.0530952 | + | 0.113863i | ||||
\(309\) | −4.28182 | + | 11.7642i | −0.243584 | + | 0.669243i | ||||
\(310\) | 7.85039 | + | 18.5392i | 0.445872 | + | 1.05295i | ||||
\(311\) | 0.293133 | − | 0.507722i | 0.0166221 | − | 0.0287903i | −0.857595 | − | 0.514326i | \(-0.828042\pi\) |
0.874217 | + | 0.485536i | \(0.161375\pi\) | |||||||
\(312\) | −4.58995 | − | 1.22987i | −0.259855 | − | 0.0696279i | ||||
\(313\) | −2.45909 | − | 3.51194i | −0.138996 | − | 0.198507i | 0.743619 | − | 0.668604i | \(-0.233108\pi\) |
−0.882615 | + | 0.470097i | \(0.844219\pi\) | |||||||
\(314\) | −0.506489 | + | 2.87244i | −0.0285828 | + | 0.162101i | ||||
\(315\) | 10.1445 | − | 0.522806i | 0.571577 | − | 0.0294568i | ||||
\(316\) | 7.20275 | + | 4.15851i | 0.405186 | + | 0.233934i | ||||
\(317\) | −16.7221 | + | 1.46300i | −0.939208 | + | 0.0821701i | −0.546469 | − | 0.837480i | \(-0.684028\pi\) |
−0.392740 | + | 0.919650i | \(0.628473\pi\) | |||||||
\(318\) | 2.75984 | + | 5.91849i | 0.154764 | + | 0.331892i | ||||
\(319\) | −0.789018 | + | 0.287179i | −0.0441765 | + | 0.0160789i | ||||
\(320\) | −1.89526 | − | 1.18658i | −0.105948 | − | 0.0663321i | ||||
\(321\) | 1.27364 | + | 7.22316i | 0.0710876 | + | 0.403158i | ||||
\(322\) | 1.98136 | − | 1.98136i | 0.110417 | − | 0.110417i | ||||
\(323\) | 2.68247 | − | 24.4545i | 0.149257 | − | 1.36069i | ||||
\(324\) | 1.00000i | 0.0555556i | ||||||||
\(325\) | −0.373347 | − | 23.7564i | −0.0207096 | − | 1.31777i | ||||
\(326\) | 11.5623 | + | 13.7795i | 0.640379 | + | 0.763174i | ||||
\(327\) | 7.33626 | + | 3.42095i | 0.405696 | + | 0.189179i | ||||
\(328\) | 1.07026 | − | 0.499069i | 0.0590950 | − | 0.0275565i | ||||
\(329\) | −30.4075 | + | 36.2383i | −1.67642 | + | 1.99788i | ||||
\(330\) | 0.226568 | − | 1.06138i | 0.0124721 | − | 0.0584270i | ||||
\(331\) | −28.3198 | + | 16.3504i | −1.55659 | + | 0.898700i | −0.559015 | + | 0.829157i | \(0.688821\pi\) |
−0.997579 | + | 0.0695429i | \(0.977846\pi\) | |||||||
\(332\) | −12.6858 | + | 8.88269i | −0.696223 | + | 0.487501i | ||||
\(333\) | −1.64808 | + | 1.15400i | −0.0903145 | + | 0.0632389i | ||||
\(334\) | 0.904222 | − | 0.522053i | 0.0494768 | − | 0.0285655i | ||||
\(335\) | 13.7651 | + | 21.2369i | 0.752070 | + | 1.16029i | ||||
\(336\) | −2.92004 | + | 3.47997i | −0.159301 | + | 0.189848i | ||||
\(337\) | 17.3072 | − | 8.07047i | 0.942782 | − | 0.439626i | 0.110436 | − | 0.993883i | \(-0.464775\pi\) |
0.832346 | + | 0.554257i | \(0.186997\pi\) | |||||||
\(338\) | 8.68263 | + | 4.04878i | 0.472273 | + | 0.220224i | ||||
\(339\) | 2.18917 | + | 2.60895i | 0.118900 | + | 0.141699i | ||||
\(340\) | −12.0655 | − | 3.70027i | −0.654343 | − | 0.200675i | ||||
\(341\) | − | 4.36999i | − | 0.236648i | ||||||
\(342\) | 4.18455 | + | 1.22047i | 0.226275 | + | 0.0659953i | ||||
\(343\) | 21.3189 | − | 21.3189i | 1.15111 | − | 1.15111i | ||||
\(344\) | −1.84342 | − | 10.4546i | −0.0993907 | − | 0.563673i | ||||
\(345\) | −0.731908 | + | 1.16903i | −0.0394046 | + | 0.0629387i | ||||
\(346\) | 1.43123 | − | 0.520924i | 0.0769433 | − | 0.0280051i | ||||
\(347\) | −12.6858 | − | 27.2049i | −0.681012 | − | 1.46043i | −0.877327 | − | 0.479893i | \(-0.840675\pi\) |
0.196315 | − | 0.980541i | \(-0.437102\pi\) | |||||||
\(348\) | −1.72339 | + | 0.150777i | −0.0923834 | + | 0.00808250i | ||||
\(349\) | −1.11525 | − | 0.643889i | −0.0596979 | − | 0.0344666i | 0.469854 | − | 0.882744i | \(-0.344307\pi\) |
−0.529552 | + | 0.848278i | \(0.677640\pi\) | |||||||
\(350\) | −20.7341 | − | 9.27463i | −1.10828 | − | 0.495750i | ||||
\(351\) | 0.825153 | − | 4.67967i | 0.0440434 | − | 0.249782i | ||||
\(352\) | 0.278389 | + | 0.397581i | 0.0148382 | + | 0.0211912i | ||||
\(353\) | 18.9655 | + | 5.08179i | 1.00943 | + | 0.270476i | 0.725392 | − | 0.688336i | \(-0.241659\pi\) |
0.284040 | + | 0.958813i | \(0.408325\pi\) | |||||||
\(354\) | 0.725034 | − | 1.25580i | 0.0385351 | − | 0.0667448i | ||||
\(355\) | 10.1818 | − | 25.1379i | 0.540394 | − | 1.33418i | ||||
\(356\) | 2.15857 | − | 5.93063i | 0.114404 | − | 0.314323i | ||||
\(357\) | −10.8355 | + | 23.2368i | −0.573475 | + | 1.22982i | ||||
\(358\) | −0.530845 | + | 6.06758i | −0.0280560 | + | 0.320682i | ||||
\(359\) | 19.2389 | − | 3.39233i | 1.01539 | − | 0.179041i | 0.358900 | − | 0.933376i | \(-0.383152\pi\) |
0.656489 | + | 0.754335i | \(0.272041\pi\) | |||||||
\(360\) | 1.01689 | − | 1.99147i | 0.0535946 | − | 0.104960i | ||||
\(361\) | 10.2142 | − | 16.0209i | 0.537590 | − | 0.843206i | ||||
\(362\) | 14.6721 | + | 14.6721i | 0.771151 | + | 0.771151i | ||||
\(363\) | 6.17422 | − | 8.81770i | 0.324063 | − | 0.462809i | ||||
\(364\) | 16.5363 | − | 13.8756i | 0.866739 | − | 0.727281i | ||||
\(365\) | 1.16639 | − | 9.43167i | 0.0610515 | − | 0.493676i | ||||
\(366\) | 5.96187 | + | 2.16994i | 0.311632 | + | 0.113425i | ||||
\(367\) | −1.60287 | − | 18.3209i | −0.0836691 | − | 0.956342i | −0.915766 | − | 0.401712i | \(-0.868415\pi\) |
0.832097 | − | 0.554630i | \(-0.187140\pi\) | |||||||
\(368\) | −0.159645 | − | 0.595802i | −0.00832205 | − | 0.0310583i | ||||
\(369\) | 0.590448 | + | 1.02269i | 0.0307375 | + | 0.0532389i | ||||
\(370\) | 4.45559 | − | 0.622243i | 0.231635 | − | 0.0323489i | ||||
\(371\) | −29.2151 | − | 5.15141i | −1.51677 | − | 0.267448i | ||||
\(372\) | 2.33032 | − | 8.69687i | 0.120821 | − | 0.450912i | ||||
\(373\) | −13.3302 | + | 3.57183i | −0.690214 | + | 0.184942i | −0.586843 | − | 0.809701i | \(-0.699629\pi\) |
−0.103371 | + | 0.994643i | \(0.532963\pi\) | |||||||
\(374\) | 2.09843 | + | 1.76079i | 0.108507 | + | 0.0910485i | ||||
\(375\) | 10.9693 | + | 2.16193i | 0.566453 | + | 0.111642i | ||||
\(376\) | 3.56159 | + | 9.78539i | 0.183675 | + | 0.504643i | ||||
\(377\) | 8.18932 | + | 0.716472i | 0.421771 | + | 0.0369002i | ||||
\(378\) | −3.72122 | − | 2.60563i | −0.191399 | − | 0.134019i | ||||
\(379\) | 29.8710 | 1.53437 | 0.767186 | − | 0.641425i | \(-0.221656\pi\) | ||||
0.767186 | + | 0.641425i | \(0.221656\pi\) | |||||||
\(380\) | −7.09232 | − | 6.68573i | −0.363828 | − | 0.342971i | ||||
\(381\) | 0.613565 | 0.0314339 | ||||||||
\(382\) | 12.4464 | + | 8.71504i | 0.636811 | + | 0.445900i | ||||
\(383\) | −2.97637 | − | 0.260398i | −0.152085 | − | 0.0133057i | 0.0108589 | − | 0.999941i | \(-0.496543\pi\) |
−0.162944 | + | 0.986635i | \(0.552099\pi\) | |||||||
\(384\) | 0.342020 | + | 0.939693i | 0.0174536 | + | 0.0479535i | ||||
\(385\) | 3.35928 | + | 3.60867i | 0.171205 | + | 0.183915i | ||||
\(386\) | 1.18742 | + | 0.996363i | 0.0604380 | + | 0.0507135i | ||||
\(387\) | 10.2541 | − | 2.74758i | 0.521246 | − | 0.139667i | ||||
\(388\) | −0.329165 | + | 1.22846i | −0.0167108 | + | 0.0623657i | ||||
\(389\) | −24.6224 | − | 4.34159i | −1.24841 | − | 0.220127i | −0.489891 | − | 0.871784i | \(-0.662963\pi\) |
−0.758514 | + | 0.651656i | \(0.774074\pi\) | |||||||
\(390\) | −6.40196 | + | 8.48033i | −0.324176 | + | 0.429418i | ||||
\(391\) | −1.74063 | − | 3.01487i | −0.0880276 | − | 0.152468i | ||||
\(392\) | −3.52946 | − | 13.1721i | −0.178265 | − | 0.665293i | ||||
\(393\) | 1.49017 | + | 17.0327i | 0.0751690 | + | 0.859186i | ||||
\(394\) | −20.3978 | − | 7.42420i | −1.02763 | − | 0.374026i | ||||
\(395\) | 14.6649 | − | 11.4370i | 0.737872 | − | 0.575456i | ||||
\(396\) | −0.371805 | + | 0.311982i | −0.0186839 | + | 0.0156777i | ||||
\(397\) | −12.3200 | + | 17.5949i | −0.618325 | + | 0.883060i | −0.999135 | − | 0.0415934i | \(-0.986757\pi\) |
0.380809 | + | 0.924654i | \(0.375645\pi\) | |||||||
\(398\) | −2.58769 | − | 2.58769i | −0.129709 | − | 0.129709i | ||||
\(399\) | −15.4450 | + | 12.3916i | −0.773218 | + | 0.620354i | ||||
\(400\) | −4.05019 | + | 2.93189i | −0.202509 | + | 0.146594i | ||||
\(401\) | 3.94960 | − | 0.696422i | 0.197234 | − | 0.0347776i | −0.0741585 | − | 0.997246i | \(-0.523627\pi\) |
0.271392 | + | 0.962469i | \(0.412516\pi\) | |||||||
\(402\) | 0.986427 | − | 11.2749i | 0.0491985 | − | 0.562341i | ||||
\(403\) | −18.0814 | + | 38.7756i | −0.900697 | + | 1.93155i | ||||
\(404\) | 6.10853 | − | 16.7831i | 0.303911 | − | 0.834988i | ||||
\(405\) | 2.07252 | + | 0.839448i | 0.102984 | + | 0.0417125i | ||||
\(406\) | 3.92944 | − | 6.80599i | 0.195015 | − | 0.337775i | ||||
\(407\) | −0.943236 | − | 0.252739i | −0.0467545 | − | 0.0125278i | ||||
\(408\) | 3.23721 | + | 4.62321i | 0.160266 | + | 0.228883i | ||||
\(409\) | 1.82623 | − | 10.3570i | 0.0903010 | − | 0.512123i | −0.905785 | − | 0.423737i | \(-0.860718\pi\) |
0.996086 | − | 0.0883857i | \(-0.0281708\pi\) | |||||||
\(410\) | −0.135904 | − | 2.63707i | −0.00671181 | − | 0.130235i | ||||
\(411\) | −1.26482 | − | 0.730242i | −0.0623888 | − | 0.0360202i | ||||
\(412\) | −12.4716 | + | 1.09112i | −0.614430 | + | 0.0537557i | ||||
\(413\) | 2.78393 | + | 5.97015i | 0.136988 | + | 0.293772i | ||||
\(414\) | 0.579620 | − | 0.210965i | 0.0284868 | − | 0.0103683i | ||||
\(415\) | 7.76045 | + | 33.7481i | 0.380946 | + | 1.65663i | ||||
\(416\) | −0.825153 | − | 4.67967i | −0.0404564 | − | 0.229440i | ||||
\(417\) | −15.9378 | + | 15.9378i | −0.780476 | + | 0.780476i | ||||
\(418\) | 0.851727 | + | 1.93660i | 0.0416593 | + | 0.0947222i | ||||
\(419\) | − | 5.96231i | − | 0.291278i | −0.989338 | − | 0.145639i | \(-0.953476\pi\) | ||
0.989338 | − | 0.145639i | \(-0.0465238\pi\) | |||||||
\(420\) | 4.76107 | + | 8.97308i | 0.232316 | + | 0.437842i | ||||
\(421\) | −23.0691 | − | 27.4927i | −1.12432 | − | 1.33991i | −0.933620 | − | 0.358264i | \(-0.883369\pi\) |
−0.190700 | − | 0.981648i | \(-0.561076\pi\) | |||||||
\(422\) | 9.25036 | + | 4.31351i | 0.450301 | + | 0.209979i | ||||
\(423\) | −9.43774 | + | 4.40089i | −0.458878 | + | 0.213979i | ||||
\(424\) | −4.19761 | + | 5.00252i | −0.203854 | + | 0.242944i | ||||
\(425\) | −17.7972 | + | 21.8998i | −0.863292 | + | 1.06229i | ||||
\(426\) | −10.5042 | + | 6.06458i | −0.508928 | + | 0.293830i | ||||
\(427\) | −23.6092 | + | 16.5314i | −1.14253 | + | 0.800009i | ||||
\(428\) | −6.00815 | + | 4.20695i | −0.290415 | + | 0.203351i | ||||
\(429\) | 1.99736 | − | 1.15318i | 0.0964334 | − | 0.0556759i | ||||
\(430\) | −23.2147 | − | 4.95554i | −1.11951 | − | 0.238977i | ||||
\(431\) | −6.64353 | + | 7.91745i | −0.320007 | + | 0.381370i | −0.901936 | − | 0.431870i | \(-0.857854\pi\) |
0.581928 | + | 0.813240i | \(0.302298\pi\) | |||||||
\(432\) | −0.906308 | + | 0.422618i | −0.0436048 | + | 0.0203332i | ||||
\(433\) | 24.1835 | + | 11.2769i | 1.16218 | + | 0.541935i | 0.905410 | − | 0.424537i | \(-0.139563\pi\) |
0.256772 | + | 0.966472i | \(0.417341\pi\) | |||||||
\(434\) | 26.2910 | + | 31.3324i | 1.26201 | + | 1.50400i | ||||
\(435\) | −1.13421 | + | 3.69833i | −0.0543811 | + | 0.177321i | ||||
\(436\) | 8.09467i | 0.387664i | ||||||||
\(437\) | −0.175384 | − | 2.68293i | −0.00838976 | − | 0.128342i | ||||
\(438\) | −3.00528 | + | 3.00528i | −0.143598 | + | 0.143598i | ||||
\(439\) | 6.19593 | + | 35.1389i | 0.295716 | + | 1.67709i | 0.664279 | + | 0.747485i | \(0.268739\pi\) |
−0.368563 | + | 0.929603i | \(0.620150\pi\) | |||||||
\(440\) | 1.05769 | − | 0.243218i | 0.0504233 | − | 0.0115950i | ||||
\(441\) | 12.8144 | − | 4.66406i | 0.610209 | − | 0.222098i | ||||
\(442\) | −11.3342 | − | 24.3063i | −0.539114 | − | 1.15613i | ||||
\(443\) | 25.4622 | − | 2.22765i | 1.20974 | − | 0.105839i | 0.535622 | − | 0.844458i | \(-0.320077\pi\) |
0.674123 | + | 0.738619i | \(0.264522\pi\) | |||||||
\(444\) | −1.74239 | − | 1.00597i | −0.0826902 | − | 0.0477412i | ||||
\(445\) | −10.4793 | − | 9.45214i | −0.496768 | − | 0.448074i | ||||
\(446\) | −0.0145503 | + | 0.0825186i | −0.000688974 | + | 0.00390737i | ||||
\(447\) | −8.25188 | − | 11.7849i | −0.390300 | − | 0.557407i | ||||
\(448\) | −4.38798 | − | 1.17576i | −0.207313 | − | 0.0555493i | ||||
\(449\) | −16.2391 | + | 28.1269i | −0.766370 | + | 1.32739i | 0.173149 | + | 0.984896i | \(0.444606\pi\) |
−0.939519 | + | 0.342497i | \(0.888727\pi\) | |||||||
\(450\) | −3.27373 | − | 3.77925i | −0.154325 | − | 0.178155i | ||||
\(451\) | −0.196031 | + | 0.538591i | −0.00923075 | + | 0.0253613i | ||||
\(452\) | −1.43933 | + | 3.08666i | −0.0677004 | + | 0.145184i | ||||
\(453\) | −0.258401 | + | 2.95354i | −0.0121407 | + | 0.138769i | ||||
\(454\) | −19.1538 | + | 3.37733i | −0.898932 | + | 0.158506i | ||||
\(455\) | −14.8761 | − | 45.9197i | −0.697402 | − | 2.15275i | ||||
\(456\) | 0.662348 | + | 4.30828i | 0.0310173 | + | 0.201754i | ||||
\(457\) | −13.2954 | − | 13.2954i | −0.621932 | − | 0.621932i | 0.324093 | − | 0.946025i | \(-0.394941\pi\) |
−0.946025 | + | 0.324093i | \(0.894941\pi\) | |||||||
\(458\) | −6.80863 | + | 9.72373i | −0.318146 | + | 0.454360i | ||||
\(459\) | −4.32348 | + | 3.62783i | −0.201803 | + | 0.169333i | ||||
\(460\) | −1.36882 | − | 0.169278i | −0.0638217 | − | 0.00789265i | ||||
\(461\) | 17.6093 | + | 6.40927i | 0.820147 | + | 0.298509i | 0.717809 | − | 0.696240i | \(-0.245145\pi\) |
0.102339 | + | 0.994750i | \(0.467367\pi\) | |||||||
\(462\) | −0.192167 | − | 2.19648i | −0.00894041 | − | 0.102189i | ||||
\(463\) | −1.16251 | − | 4.33855i | −0.0540265 | − | 0.201630i | 0.933637 | − | 0.358220i | \(-0.116616\pi\) |
−0.987664 | + | 0.156591i | \(0.949950\pi\) | |||||||
\(464\) | −0.864987 | − | 1.49820i | −0.0401560 | − | 0.0695522i | ||||
\(465\) | −16.0682 | − | 12.1302i | −0.745146 | − | 0.562524i | ||||
\(466\) | −6.40362 | − | 1.12913i | −0.296642 | − | 0.0523060i | ||||
\(467\) | −5.46644 | + | 20.4010i | −0.252957 | + | 0.944047i | 0.716259 | + | 0.697834i | \(0.245853\pi\) |
−0.969216 | + | 0.246212i | \(0.920814\pi\) | |||||||
\(468\) | 4.58995 | − | 1.22987i | 0.212170 | − | 0.0568509i | ||||
\(469\) | 39.3862 | + | 33.0489i | 1.81869 | + | 1.52606i | ||||
\(470\) | 23.2702 | + | 0.832869i | 1.07337 | + | 0.0384174i | ||||
\(471\) | −0.997589 | − | 2.74085i | −0.0459665 | − | 0.126292i | ||||
\(472\) | 1.44455 | + | 0.126382i | 0.0664908 | + | 0.00581719i | ||||
\(473\) | 4.22066 | + | 2.95534i | 0.194066 | + | 0.135887i | ||||
\(474\) | −8.31701 | −0.382013 | ||||||||
\(475\) | −19.8099 | + | 9.08663i | −0.908942 | + | 0.416923i | ||||
\(476\) | −25.6390 | −1.17516 | ||||||||
\(477\) | −5.34933 | − | 3.74564i | −0.244929 | − | 0.171501i | ||||
\(478\) | −21.5288 | − | 1.88353i | −0.984704 | − | 0.0861505i | ||||
\(479\) | 1.09224 | + | 3.00090i | 0.0499057 | + | 0.137115i | 0.962141 | − | 0.272551i | \(-0.0878674\pi\) |
−0.912236 | + | 0.409666i | \(0.865645\pi\) | |||||||
\(480\) | 2.23464 | + | 0.0799806i | 0.101997 | + | 0.00365060i | ||||
\(481\) | 7.32374 | + | 6.14535i | 0.333934 | + | 0.280204i | ||||
\(482\) | −1.19354 | + | 0.319807i | −0.0543641 | + | 0.0145668i | ||||
\(483\) | −0.725229 | + | 2.70659i | −0.0329991 | + | 0.123154i | ||||
\(484\) | 10.6009 | + | 1.86922i | 0.481859 | + | 0.0849647i | ||||
\(485\) | 2.26969 | + | 1.71343i | 0.103061 | + | 0.0778028i | ||||
\(486\) | −0.500000 | − | 0.866025i | −0.0226805 | − | 0.0392837i | ||||
\(487\) | 8.35990 | + | 31.1996i | 0.378823 | + | 1.41379i | 0.847677 | + | 0.530512i | \(0.178000\pi\) |
−0.468854 | + | 0.883276i | \(0.655333\pi\) | |||||||
\(488\) | 0.552959 | + | 6.32035i | 0.0250313 | + | 0.286109i | ||||
\(489\) | −16.9030 | − | 6.15220i | −0.764381 | − | 0.278212i | ||||
\(490\) | −30.2623 | − | 3.74245i | −1.36711 | − | 0.169067i | ||||
\(491\) | −24.3024 | + | 20.3921i | −1.09675 | + | 0.920284i | −0.997202 | − | 0.0747481i | \(-0.976185\pi\) |
−0.0995499 | + | 0.995033i | \(0.531740\pi\) | |||||||
\(492\) | −0.677335 | + | 0.967334i | −0.0305366 | + | 0.0436108i | ||||
\(493\) | −6.90405 | − | 6.90405i | −0.310943 | − | 0.310943i | ||||
\(494\) | 0.455417 | − | 20.7079i | 0.0204902 | − | 0.931692i | ||||
\(495\) | 0.334476 | + | 1.03246i | 0.0150336 | + | 0.0464058i | ||||
\(496\) | 8.86687 | − | 1.56347i | 0.398134 | − | 0.0702018i | ||||
\(497\) | 4.80229 | − | 54.8904i | 0.215412 | − | 2.46217i | ||||
\(498\) | 6.54487 | − | 14.0355i | 0.293283 | − | 0.628947i | ||||
\(499\) | −4.78716 | + | 13.1526i | −0.214303 | + | 0.588792i | −0.999538 | − | 0.0304059i | \(-0.990320\pi\) |
0.785235 | + | 0.619198i | \(0.212542\pi\) | |||||||
\(500\) | 2.67646 | + | 10.8553i | 0.119695 | + | 0.485462i | ||||
\(501\) | −0.522053 | + | 0.904222i | −0.0233236 | + | 0.0403977i | ||||
\(502\) | −1.43114 | − | 0.383472i | −0.0638747 | − | 0.0171152i | ||||
\(503\) | −5.83246 | − | 8.32961i | −0.260056 | − | 0.371399i | 0.667797 | − | 0.744343i | \(-0.267237\pi\) |
−0.927854 | + | 0.372944i | \(0.878348\pi\) | |||||||
\(504\) | 0.788844 | − | 4.47376i | 0.0351379 | − | 0.199277i | ||||
\(505\) | −29.6554 | − | 26.7485i | −1.31965 | − | 1.19029i | ||||
\(506\) | 0.259269 | + | 0.149689i | 0.0115259 | + | 0.00665448i | ||||
\(507\) | −9.54376 | + | 0.834971i | −0.423853 | + | 0.0370824i | ||||
\(508\) | 0.259304 | + | 0.556079i | 0.0115047 | + | 0.0246720i | ||||
\(509\) | 1.76100 | − | 0.640952i | 0.0780550 | − | 0.0284097i | −0.302698 | − | 0.953087i | \(-0.597887\pi\) |
0.380753 | + | 0.924677i | \(0.375665\pi\) | |||||||
\(510\) | 12.2992 | − | 2.82822i | 0.544616 | − | 0.125236i | ||||
\(511\) | −3.35267 | − | 19.0139i | −0.148313 | − | 0.841127i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −4.23416 | + | 1.03532i | −0.186943 | + | 0.0457105i | ||||
\(514\) | 25.7491i | 1.13574i | ||||||||
\(515\) | −8.20787 | + | 26.7635i | −0.361682 | + | 1.17934i | ||||
\(516\) | 6.82373 | + | 8.13221i | 0.300398 | + | 0.358001i | ||||
\(517\) | −4.58067 | − | 2.13600i | −0.201458 | − | 0.0939413i | ||||
\(518\) | 8.28346 | − | 3.86264i | 0.363954 | − | 0.169715i | ||||
\(519\) | −0.979017 | + | 1.16675i | −0.0429741 | + | 0.0512145i | ||||
\(520\) | −10.3914 | − | 2.21820i | −0.455692 | − | 0.0972745i | ||||
\(521\) | 12.4118 | − | 7.16593i | 0.543769 | − | 0.313945i | −0.202836 | − | 0.979213i | \(-0.565016\pi\) |
0.746605 | + | 0.665268i | \(0.231683\pi\) | |||||||
\(522\) | 1.41711 | − | 0.992272i | 0.0620253 | − | 0.0434306i | ||||
\(523\) | 19.6943 | − | 13.7901i | 0.861172 | − | 0.602999i | −0.0573565 | − | 0.998354i | \(-0.518267\pi\) |
0.918529 | + | 0.395355i | \(0.129378\pi\) | |||||||
\(524\) | −14.8071 | + | 8.54888i | −0.646851 | + | 0.373459i | ||||
\(525\) | 22.5935 | − | 2.33496i | 0.986063 | − | 0.101906i | ||||
\(526\) | 3.88569 | − | 4.63078i | 0.169424 | − | 0.201912i | ||||
\(527\) | 46.0547 | − | 21.4757i | 2.00618 | − | 0.935495i | ||||
\(528\) | −0.439883 | − | 0.205121i | −0.0191435 | − | 0.00892674i | ||||
\(529\) | 14.5396 | + | 17.3276i | 0.632155 | + | 0.753373i | ||||
\(530\) | 6.84413 | + | 12.8990i | 0.297290 | + | 0.560296i | ||||
\(531\) | 1.45007i | 0.0629276i | ||||||||
\(532\) | −17.7579 | − | 8.76103i | −0.769903 | − | 0.379839i | ||||
\(533\) | 3.96790 | − | 3.96790i | 0.171869 | − | 0.171869i | ||||
\(534\) | 1.09594 | + | 6.21536i | 0.0474258 | + | 0.268965i | ||||
\(535\) | 3.67545 | + | 15.9835i | 0.158903 | + | 0.691027i | ||||
\(536\) | 10.6354 | − | 3.87098i | 0.459380 | − | 0.167201i | ||||
\(537\) | −2.57407 | − | 5.52010i | −0.111079 | − | 0.238210i | ||||
\(538\) | −7.00416 | + | 0.612785i | −0.301971 | + | 0.0264190i | ||||
\(539\) | 5.73197 | + | 3.30936i | 0.246894 | + | 0.142544i | ||||
\(540\) | 0.115085 | + | 2.23310i | 0.00495248 | + | 0.0960975i | ||||
\(541\) | −4.72892 | + | 26.8191i | −0.203312 | + | 1.15304i | 0.696761 | + | 0.717303i | \(0.254624\pi\) |
−0.900074 | + | 0.435738i | \(0.856487\pi\) | |||||||
\(542\) | −6.85846 | − | 9.79490i | −0.294596 | − | 0.420727i | ||||
\(543\) | −20.0425 | − | 5.37038i | −0.860107 | − | 0.230465i | ||||
\(544\) | −2.82195 | + | 4.88776i | −0.120990 | + | 0.209561i | ||||
\(545\) | 16.7763 | + | 6.79505i | 0.718619 | + | 0.291068i | ||||
\(546\) | −7.38307 | + | 20.2848i | −0.315966 | + | 0.868110i | ||||
\(547\) | −3.18876 | + | 6.83831i | −0.136341 | + | 0.292385i | −0.962610 | − | 0.270891i | \(-0.912682\pi\) |
0.826268 | + | 0.563276i | \(0.190459\pi\) | |||||||
\(548\) | 0.127290 | − | 1.45493i | 0.00543754 | − | 0.0621514i | ||||
\(549\) | −6.24810 | + | 1.10171i | −0.266662 | + | 0.0470198i | ||||
\(550\) | 0.383800 | − | 2.39624i | 0.0163653 | − | 0.102176i | ||||
\(551\) | −2.42267 | − | 7.14101i | −0.103209 | − | 0.304217i | ||||
\(552\) | 0.436157 | + | 0.436157i | 0.0185641 | + | 0.0185641i | ||||
\(553\) | 21.6710 | − | 30.9495i | 0.921546 | − | 1.31610i | ||||
\(554\) | −4.75762 | + | 3.99212i | −0.202132 | + | 0.169609i | ||||
\(555\) | −3.54754 | + | 2.76668i | −0.150585 | + | 0.117439i | ||||
\(556\) | −21.1801 | − | 7.70893i | −0.898237 | − | 0.326932i | ||||
\(557\) | 1.64648 | + | 18.8194i | 0.0697638 | + | 0.797403i | 0.947812 | + | 0.318831i | \(0.103290\pi\) |
−0.878048 | + | 0.478573i | \(0.841154\pi\) | |||||||
\(558\) | 2.33032 | + | 8.69687i | 0.0986503 | + | 0.368168i | ||||
\(559\) | −25.2225 | − | 43.6867i | −1.06680 | − | 1.84775i | ||||
\(560\) | −6.12026 | + | 8.10718i | −0.258628 | + | 0.342591i | ||||
\(561\) | −2.69769 | − | 0.475676i | −0.113897 | − | 0.0200831i | ||||
\(562\) | 3.69973 | − | 13.8076i | 0.156064 | − | 0.582438i | ||||
\(563\) | 2.33444 | − | 0.625512i | 0.0983850 | − | 0.0263622i | −0.209291 | − | 0.977853i | \(-0.567115\pi\) |
0.307676 | + | 0.951491i | \(0.400449\pi\) | |||||||
\(564\) | −7.97712 | − | 6.69360i | −0.335897 | − | 0.281851i | ||||
\(565\) | 5.18890 | + | 5.57413i | 0.218299 | + | 0.234505i | ||||
\(566\) | −7.77809 | − | 21.3701i | −0.326938 | − | 0.898254i | ||||
\(567\) | 4.52549 | + | 0.395929i | 0.190053 | + | 0.0166274i | ||||
\(568\) | −9.93563 | − | 6.95700i | −0.416890 | − | 0.291909i | ||||
\(569\) | −21.7658 | −0.912469 | −0.456235 | − | 0.889859i | \(-0.650802\pi\) | ||||
−0.456235 | + | 0.889859i | \(0.650802\pi\) | |||||||
\(570\) | 9.48500 | + | 2.24385i | 0.397283 | + | 0.0939846i | ||||
\(571\) | 22.9967 | 0.962384 | 0.481192 | − | 0.876615i | \(-0.340204\pi\) | ||||
0.481192 | + | 0.876615i | \(0.340204\pi\) | |||||||
\(572\) | 1.88925 | + | 1.32287i | 0.0789936 | + | 0.0553119i | ||||
\(573\) | −15.1364 | − | 1.32426i | −0.632332 | − | 0.0553218i | ||||
\(574\) | −1.83478 | − | 5.04103i | −0.0765824 | − | 0.210408i | ||||
\(575\) | −1.49989 | + | 2.69481i | −0.0625496 | + | 0.112381i | ||||
\(576\) | −0.766044 | − | 0.642788i | −0.0319185 | − | 0.0267828i | ||||
\(577\) | 28.6956 | − | 7.68896i | 1.19461 | − | 0.320095i | 0.393905 | − | 0.919151i | \(-0.371124\pi\) |
0.800707 | + | 0.599056i | \(0.204457\pi\) | |||||||
\(578\) | −3.84441 | + | 14.3475i | −0.159906 | + | 0.596778i | ||||
\(579\) | −1.52652 | − | 0.269166i | −0.0634398 | − | 0.0111862i | ||||
\(580\) | −3.83116 | + | 0.535038i | −0.159080 | + | 0.0222162i | ||||
\(581\) | 35.1758 | + | 60.9263i | 1.45934 | + | 2.52765i | ||||
\(582\) | −0.329165 | − | 1.22846i | −0.0136443 | − | 0.0509214i | ||||
\(583\) | −0.276244 | − | 3.15748i | −0.0114408 | − | 0.130769i | ||||
\(584\) | −3.99379 | − | 1.45362i | −0.165264 | − | 0.0601512i | ||||
\(585\) | 1.30409 | − | 10.5452i | 0.0539175 | − | 0.435989i | ||||
\(586\) | −8.58588 | + | 7.20441i | −0.354679 | + | 0.297611i | ||||
\(587\) | 22.4895 | − | 32.1184i | 0.928242 | − | 1.32567i | −0.0171917 | − | 0.999852i | \(-0.505473\pi\) |
0.945434 | − | 0.325815i | \(-0.105639\pi\) | |||||||
\(588\) | 9.64267 | + | 9.64267i | 0.397657 | + | 0.397657i | ||||
\(589\) | 39.2366 | + | 0.862907i | 1.61671 | + | 0.0355554i | ||||
\(590\) | 1.47455 | − | 2.88777i | 0.0607064 | − | 0.118887i | ||||
\(591\) | 21.3771 | − | 3.76936i | 0.879338 | − | 0.155051i | ||||
\(592\) | 0.175352 | − | 2.00428i | 0.00720693 | − | 0.0823755i | ||||
\(593\) | −13.3712 | + | 28.6747i | −0.549091 | + | 1.17753i | 0.414475 | + | 0.910061i | \(0.363965\pi\) |
−0.963566 | + | 0.267470i | \(0.913813\pi\) | |||||||
\(594\) | 0.166002 | − | 0.456087i | 0.00681114 | − | 0.0187135i | ||||
\(595\) | −21.5226 | + | 53.1372i | −0.882340 | + | 2.17841i | ||||
\(596\) | 7.19336 | − | 12.4593i | 0.294651 | − | 0.510351i | ||||
\(597\) | 3.53485 | + | 0.947161i | 0.144672 | + | 0.0387647i | ||||
\(598\) | −1.68118 | − | 2.40097i | −0.0687484 | − | 0.0981829i | ||||
\(599\) | 4.62077 | − | 26.2057i | 0.188799 | − | 1.07074i | −0.732176 | − | 0.681115i | \(-0.761495\pi\) |
0.920976 | − | 0.389620i | \(-0.127394\pi\) | |||||||
\(600\) | 2.04162 | − | 4.56418i | 0.0833489 | − | 0.186332i | ||||
\(601\) | −24.8169 | − | 14.3280i | −1.01230 | − | 0.584453i | −0.100437 | − | 0.994943i | \(-0.532024\pi\) |
−0.911865 | + | 0.410491i | \(0.865357\pi\) | |||||||
\(602\) | −48.0419 | + | 4.20312i | −1.95804 | + | 0.171306i | ||||
\(603\) | 4.78318 | + | 10.2576i | 0.194786 | + | 0.417721i | ||||
\(604\) | −2.78602 | + | 1.01403i | −0.113362 | + | 0.0412602i | ||||
\(605\) | 12.7729 | − | 20.4014i | 0.519292 | − | 0.829435i | ||||
\(606\) | 3.10138 | + | 17.5888i | 0.125985 | + | 0.714497i | ||||
\(607\) | 11.9613 | − | 11.9613i | 0.485496 | − | 0.485496i | −0.421386 | − | 0.906882i | \(-0.638456\pi\) |
0.906882 | + | 0.421386i | \(0.138456\pi\) | |||||||
\(608\) | −3.62471 | + | 2.42105i | −0.147001 | + | 0.0981865i | ||||
\(609\) | 7.85888i | 0.318458i | ||||||||
\(610\) | 13.5632 | + | 4.15959i | 0.549158 | + | 0.168417i | ||||
\(611\) | 31.8071 | + | 37.9062i | 1.28678 | + | 1.53352i | ||||
\(612\) | −5.11511 | − | 2.38522i | −0.206766 | − | 0.0964167i | ||||
\(613\) | 17.7486 | − | 8.27629i | 0.716858 | − | 0.334276i | −0.0297348 | − | 0.999558i | \(-0.509466\pi\) |
0.746593 | + | 0.665282i | \(0.231688\pi\) | |||||||
\(614\) | 10.9879 | − | 13.0948i | 0.443434 | − | 0.528464i | ||||
\(615\) | 1.43623 | + | 2.21581i | 0.0579143 | + | 0.0893503i | ||||
\(616\) | 1.90947 | − | 1.10243i | 0.0769348 | − | 0.0444183i | ||||
\(617\) | 18.4373 | − | 12.9099i | 0.742258 | − | 0.519735i | −0.140201 | − | 0.990123i | \(-0.544775\pi\) |
0.882460 | + | 0.470388i | \(0.155886\pi\) | |||||||
\(618\) | 10.2551 | − | 7.18073i | 0.412522 | − | 0.288851i | ||||
\(619\) | −21.5288 | + | 12.4297i | −0.865316 | + | 0.499591i | −0.865789 | − | 0.500409i | \(-0.833183\pi\) |
0.000472715 | 1.00000i | \(0.499850\pi\) | ||||||||
\(620\) | 4.20296 | − | 19.6892i | 0.168795 | − | 0.790737i | ||||
\(621\) | −0.396484 | + | 0.472511i | −0.0159103 | + | 0.0189612i | ||||
\(622\) | −0.531338 | + | 0.247767i | −0.0213047 | + | 0.00993455i | ||||
\(623\) | −25.9844 | − | 12.1167i | −1.04104 | − | 0.485445i | ||||
\(624\) | 3.05444 | + | 3.64014i | 0.122275 | + | 0.145722i | ||||
\(625\) | 24.7445 | + | 3.56541i | 0.989778 | + | 0.142616i | ||||
\(626\) | 4.28729i | 0.171355i | ||||||||
\(627\) | −1.70592 | − | 1.25128i | −0.0681278 | − | 0.0499714i | ||||
\(628\) | 2.06246 | − | 2.06246i | 0.0823010 | − | 0.0823010i | ||||
\(629\) | −1.97181 | − | 11.1827i | −0.0786212 | − | 0.445883i | ||||
\(630\) | −8.60975 | − | 5.39038i | −0.343021 | − | 0.214758i | ||||
\(631\) | 6.38075 | − | 2.32240i | 0.254014 | − | 0.0924535i | −0.211875 | − | 0.977297i | \(-0.567957\pi\) |
0.465889 | + | 0.884843i | \(0.345735\pi\) | |||||||
\(632\) | −3.51492 | − | 7.53777i | −0.139816 | − | 0.299837i | ||||
\(633\) | −10.1678 | + | 0.889568i | −0.404134 | + | 0.0353571i | ||||
\(634\) | 14.5371 | + | 8.39300i | 0.577342 | + | 0.333329i | ||||
\(635\) | 1.37016 | − | 0.0706123i | 0.0543730 | − | 0.00280216i | ||||
\(636\) | 1.13398 | − | 6.43112i | 0.0449652 | − | 0.255010i | ||||
\(637\) | −37.1679 | − | 53.0812i | −1.47264 | − | 2.10315i | ||||
\(638\) | 0.811044 | + | 0.217319i | 0.0321096 | + | 0.00860373i | ||||
\(639\) | 6.06458 | − | 10.5042i | 0.239911 | − | 0.415538i | ||||
\(640\) | 0.871911 | + | 2.05907i | 0.0344653 | + | 0.0813919i | ||||
\(641\) | −1.03740 | + | 2.85024i | −0.0409749 | + | 0.112578i | −0.958493 | − | 0.285117i | \(-0.907967\pi\) |
0.917518 | + | 0.397695i | \(0.130190\pi\) | |||||||
\(642\) | 3.09973 | − | 6.64740i | 0.122337 | − | 0.262352i | ||||
\(643\) | 1.43283 | − | 16.3773i | 0.0565052 | − | 0.645858i | −0.914149 | − | 0.405378i | \(-0.867140\pi\) |
0.970654 | − | 0.240479i | \(-0.0773046\pi\) | |||||||
\(644\) | −2.75950 | + | 0.486574i | −0.108740 | + | 0.0191737i | ||||
\(645\) | 22.5823 | − | 7.31574i | 0.889178 | − | 0.288057i | ||||
\(646\) | −16.2239 | + | 18.4934i | −0.638320 | + | 0.727612i | ||||
\(647\) | 1.41192 | + | 1.41192i | 0.0555082 | + | 0.0555082i | 0.734316 | − | 0.678808i | \(-0.237503\pi\) |
−0.678808 | + | 0.734316i | \(0.737503\pi\) | |||||||
\(648\) | 0.573576 | − | 0.819152i | 0.0225322 | − | 0.0321793i | ||||
\(649\) | −0.539143 | + | 0.452395i | −0.0211632 | + | 0.0177580i | ||||
\(650\) | −13.3203 | + | 19.6742i | −0.522464 | + | 0.771687i | ||||
\(651\) | −38.4349 | − | 13.9892i | −1.50638 | − | 0.548279i | ||||
\(652\) | −1.56774 | − | 17.9194i | −0.0613975 | − | 0.701777i | ||||
\(653\) | −6.17697 | − | 23.0528i | −0.241723 | − | 0.902124i | −0.975002 | − | 0.222196i | \(-0.928678\pi\) |
0.733279 | − | 0.679928i | \(-0.237989\pi\) | |||||||
\(654\) | −4.04733 | − | 7.01019i | −0.158263 | − | 0.274120i | ||||
\(655\) | 5.28791 | + | 37.8643i | 0.206616 | + | 1.47948i | ||||
\(656\) | −1.16296 | − | 0.205061i | −0.0454058 | − | 0.00800627i | ||||
\(657\) | 1.10001 | − | 4.10528i | 0.0429154 | − | 0.160162i | ||||
\(658\) | 45.6938 | − | 12.2436i | 1.78133 | − | 0.477306i | ||||
\(659\) | −0.0731906 | − | 0.0614142i | −0.00285110 | − | 0.00239236i | 0.641361 | − | 0.767239i | \(-0.278370\pi\) |
−0.644212 | + | 0.764847i | \(0.722815\pi\) | |||||||
\(660\) | −0.794375 | + | 0.739477i | −0.0309210 | + | 0.0287841i | ||||
\(661\) | −11.1624 | − | 30.6684i | −0.434166 | − | 1.19286i | −0.943232 | − | 0.332134i | \(-0.892231\pi\) |
0.509066 | − | 0.860727i | \(-0.329991\pi\) | |||||||
\(662\) | 32.5764 | + | 2.85007i | 1.26612 | + | 0.110771i | ||||
\(663\) | 21.9689 | + | 15.3828i | 0.853201 | + | 0.597418i | ||||
\(664\) | 15.4865 | 0.600992 | ||||||||
\(665\) | −33.0642 | + | 29.4491i | −1.28218 | + | 1.14199i | ||||
\(666\) | 2.01194 | 0.0779611 | ||||||||
\(667\) | −0.874101 | − | 0.612052i | −0.0338453 | − | 0.0236988i | ||||
\(668\) | −1.04013 | − | 0.0909998i | −0.0402439 | − | 0.00352089i | ||||
\(669\) | −0.0286584 | − | 0.0787383i | −0.00110800 | − | 0.00304420i | ||||
\(670\) | 0.905219 | − | 25.2916i | 0.0349717 | − | 0.977099i | ||||
\(671\) | −2.35891 | − | 1.97936i | −0.0910648 | − | 0.0764125i | ||||
\(672\) | 4.38798 | − | 1.17576i | 0.169270 | − | 0.0453558i | ||||
\(673\) | 4.26702 | − | 15.9247i | 0.164481 | − | 0.613853i | −0.833624 | − | 0.552332i | \(-0.813738\pi\) |
0.998106 | − | 0.0615212i | \(-0.0195952\pi\) | |||||||
\(674\) | −18.8062 | − | 3.31605i | −0.724389 | − | 0.127729i | ||||
\(675\) | 4.72476 | + | 1.63606i | 0.181856 | + | 0.0629720i | ||||
\(676\) | −4.79011 | − | 8.29671i | −0.184235 | − | 0.319104i | ||||
\(677\) | 8.63736 | + | 32.2351i | 0.331961 | + | 1.23889i | 0.907127 | + | 0.420857i | \(0.138271\pi\) |
−0.575166 | + | 0.818037i | \(0.695063\pi\) | |||||||
\(678\) | −0.296830 | − | 3.39279i | −0.0113997 | − | 0.130299i | ||||
\(679\) | 5.42906 | + | 1.97602i | 0.208348 | + | 0.0758325i | ||||
\(680\) | 7.76109 | + | 9.95157i | 0.297624 | + | 0.381625i | ||||
\(681\) | 14.8990 | − | 12.5018i | 0.570931 | − | 0.479068i | ||||
\(682\) | −2.50652 | + | 3.57969i | −0.0959798 | + | 0.137073i | ||||
\(683\) | −8.38881 | − | 8.38881i | −0.320989 | − | 0.320989i | 0.528157 | − | 0.849146i | \(-0.322883\pi\) |
−0.849146 | + | 0.528157i | \(0.822883\pi\) | |||||||
\(684\) | −2.72775 | − | 3.39991i | −0.104298 | − | 0.129999i | ||||
\(685\) | −2.90851 | − | 1.48515i | −0.111128 | − | 0.0567445i | ||||
\(686\) | −29.6914 | + | 5.23539i | −1.13362 | + | 0.199888i | ||||
\(687\) | 1.03458 | − | 11.8253i | 0.0394717 | − | 0.451164i | ||||
\(688\) | −4.48645 | + | 9.62122i | −0.171044 | + | 0.366806i | ||||
\(689\) | −10.6133 | + | 29.1598i | −0.404335 | + | 1.11090i | ||||
\(690\) | 1.27007 | − | 0.537812i | 0.0483509 | − | 0.0204741i | ||||
\(691\) | 2.42455 | − | 4.19945i | 0.0922344 | − | 0.159755i | −0.816217 | − | 0.577746i | \(-0.803932\pi\) |
0.908451 | + | 0.417991i | \(0.137266\pi\) | |||||||
\(692\) | −1.47118 | − | 0.394202i | −0.0559260 | − | 0.0149853i | ||||
\(693\) | 1.26466 | + | 1.80612i | 0.0480405 | + | 0.0686089i | ||||
\(694\) | −5.21244 | + | 29.5612i | −0.197862 | + | 1.12213i | ||||
\(695\) | −33.7565 | + | 37.4249i | −1.28046 | + | 1.41961i | ||||
\(696\) | 1.49820 | + | 0.864987i | 0.0567892 | + | 0.0327872i | ||||
\(697\) | −6.63951 | + | 0.580881i | −0.251489 | + | 0.0220025i | ||||
\(698\) | 0.544238 | + | 1.16712i | 0.0205997 | + | 0.0441762i | ||||
\(699\) | 6.11027 | − | 2.22396i | 0.231112 | − | 0.0841177i | ||||
\(700\) | 11.6646 | + | 19.4899i | 0.440882 | + | 0.736649i | ||||
\(701\) | −8.92279 | − | 50.6037i | −0.337009 | − | 1.91127i | −0.406421 | − | 0.913686i | \(-0.633223\pi\) |
0.0694117 | − | 0.997588i | \(-0.477888\pi\) | |||||||
\(702\) | −3.36008 | + | 3.36008i | −0.126818 | + | 0.126818i | ||||
\(703\) | 2.45551 | − | 8.41906i | 0.0926112 | − | 0.317531i | ||||
\(704\) | − | 0.485357i | − | 0.0182926i | ||||||
\(705\) | −20.5690 | + | 10.9138i | −0.774672 | + | 0.411037i | ||||
\(706\) | −12.6208 | − | 15.0409i | −0.474991 | − | 0.566072i | ||||
\(707\) | −73.5330 | − | 34.2890i | −2.76549 | − | 1.28957i | ||||
\(708\) | −1.31421 | + | 0.612826i | −0.0493910 | + | 0.0230314i | ||||
\(709\) | −2.37213 | + | 2.82699i | −0.0890870 | + | 0.106170i | −0.808746 | − | 0.588157i | \(-0.799854\pi\) |
0.719659 | + | 0.694327i | \(0.244298\pi\) | |||||||
\(710\) | −22.7590 | + | 14.7517i | −0.854128 | + | 0.553622i | ||||
\(711\) | 7.20275 | − | 4.15851i | 0.270124 | − | 0.155956i | ||||
\(712\) | −5.16987 | + | 3.61998i | −0.193749 | + | 0.135665i | ||||
\(713\) | 4.54927 | − | 3.18543i | 0.170371 | − | 0.119295i | ||||
\(714\) | 22.2040 | − | 12.8195i | 0.830964 | − | 0.479757i | ||||
\(715\) | 4.32760 | − | 2.80503i | 0.161843 | − | 0.104902i | ||||
\(716\) | 3.91507 | − | 4.66579i | 0.146313 | − | 0.174369i | ||||
\(717\) | 19.5862 | − | 9.13322i | 0.731462 | − | 0.341086i | ||||
\(718\) | −17.7053 | − | 8.25613i | −0.660757 | − | 0.308116i | ||||
\(719\) | −25.3814 | − | 30.2483i | −0.946566 | − | 1.12807i | −0.991633 | − | 0.129089i | \(-0.958795\pi\) |
0.0450673 | − | 0.998984i | \(-0.485650\pi\) | |||||||
\(720\) | −1.97524 | + | 1.04805i | −0.0736130 | + | 0.0390586i | ||||
\(721\) | 56.8719i | 2.11802i | ||||||||
\(722\) | −17.5562 | + | 7.26494i | −0.653375 | + | 0.270373i | ||||
\(723\) | 0.873729 | − | 0.873729i | 0.0324943 | − | 0.0324943i | ||||
\(724\) | −3.60312 | − | 20.4343i | −0.133909 | − | 0.759435i | ||||
\(725\) | −2.10718 | + | 8.38928i | −0.0782588 | + | 0.311570i | ||||
\(726\) | −10.1153 | + | 3.68165i | −0.375412 | + | 0.136639i | ||||
\(727\) | 13.4727 | + | 28.8922i | 0.499673 | + | 1.07155i | 0.980820 | + | 0.194913i | \(0.0624425\pi\) |
−0.481147 | + | 0.876640i | \(0.659780\pi\) | |||||||
\(728\) | −21.5045 | + | 1.88140i | −0.797010 | + | 0.0697293i | ||||
\(729\) | 0.866025 | + | 0.500000i | 0.0320750 | + | 0.0185185i | ||||
\(730\) | −6.36523 | + | 7.05696i | −0.235588 | + | 0.261190i | ||||
\(731\) | −10.4041 | + | 59.0046i | −0.384809 | + | 2.18236i | ||||
\(732\) | −3.63905 | − | 5.19710i | −0.134503 | − | 0.192090i | ||||
\(733\) | −2.35882 | − | 0.632045i | −0.0871251 | − | 0.0233451i | 0.214993 | − | 0.976616i | \(-0.431027\pi\) |
−0.302118 | + | 0.953270i | \(0.597694\pi\) | |||||||
\(734\) | −9.19543 | + | 15.9269i | −0.339409 | + | 0.587874i | ||||
\(735\) | 28.0791 | − | 11.8901i | 1.03571 | − | 0.438572i | ||||
\(736\) | −0.210965 | + | 0.579620i | −0.00777626 | + | 0.0213651i | ||||
\(737\) | −2.32155 | + | 4.97859i | −0.0855155 | + | 0.183389i | ||||
\(738\) | 0.102922 | − | 1.17640i | 0.00378861 | − | 0.0433040i | ||||
\(739\) | 14.3368 | − | 2.52797i | 0.527389 | − | 0.0929929i | 0.0963871 | − | 0.995344i | \(-0.469271\pi\) |
0.431002 | + | 0.902351i | \(0.358160\pi\) | |||||||
\(740\) | −4.00671 | − | 2.04591i | −0.147290 | − | 0.0752092i | ||||
\(741\) | 9.95954 | + | 18.1613i | 0.365873 | + | 0.667171i | ||||
\(742\) | 20.9769 | + | 20.9769i | 0.770086 | + | 0.770086i | ||||
\(743\) | 29.1773 | − | 41.6695i | 1.07041 | − | 1.52871i | 0.240629 | − | 0.970617i | \(-0.422646\pi\) |
0.829782 | − | 0.558088i | \(-0.188465\pi\) | |||||||
\(744\) | −6.89720 | + | 5.78744i | −0.252864 | + | 0.212178i | ||||
\(745\) | −19.7836 | − | 25.3673i | −0.724814 | − | 0.929384i | ||||
\(746\) | 12.9682 | + | 4.72004i | 0.474800 | + | 0.172813i | ||||
\(747\) | 1.34974 | + | 15.4276i | 0.0493843 | + | 0.564465i | ||||
\(748\) | −0.708985 | − | 2.64597i | −0.0259231 | − | 0.0967462i | ||||
\(749\) | 16.6597 | + | 28.8554i | 0.608732 | + | 1.05435i | ||||
\(750\) | −7.74551 | − | 8.06269i | −0.282826 | − | 0.294408i | ||||
\(751\) | 41.8234 | + | 7.37460i | 1.52616 | + | 0.269103i | 0.872850 | − | 0.487989i | \(-0.162269\pi\) |
0.653309 | + | 0.757092i | \(0.273380\pi\) | |||||||
\(752\) | 2.69518 | − | 10.0586i | 0.0982832 | − | 0.366798i | ||||
\(753\) | 1.43114 | − | 0.383472i | 0.0521535 | − | 0.0139745i | ||||
\(754\) | −6.29734 | − | 5.28410i | −0.229336 | − | 0.192436i | ||||
\(755\) | −0.237128 | + | 6.62530i | −0.00862998 | + | 0.241119i | ||||
\(756\) | 1.55372 | + | 4.26881i | 0.0565083 | + | 0.155255i | ||||
\(757\) | −14.7504 | − | 1.29049i | −0.536111 | − | 0.0469036i | −0.184114 | − | 0.982905i | \(-0.558942\pi\) |
−0.351997 | + | 0.936001i | \(0.614497\pi\) | |||||||
\(758\) | −24.4689 | − | 17.1333i | −0.888751 | − | 0.622310i | ||||
\(759\) | −0.299378 | −0.0108667 | ||||||||
\(760\) | 1.97491 | + | 9.54462i | 0.0716376 | + | 0.346220i | ||||
\(761\) | 3.75314 | 0.136051 | 0.0680257 | − | 0.997684i | \(-0.478330\pi\) | ||||
0.0680257 | + | 0.997684i | \(0.478330\pi\) | |||||||
\(762\) | −0.502603 | − | 0.351927i | −0.0182074 | − | 0.0127490i | ||||
\(763\) | 36.6323 | + | 3.20491i | 1.32618 | + | 0.116026i | ||||
\(764\) | −5.19672 | − | 14.2779i | −0.188011 | − | 0.516556i | ||||
\(765\) | −9.23727 | + | 8.59889i | −0.333974 | + | 0.310894i | ||||
\(766\) | 2.28874 | + | 1.92048i | 0.0826954 | + | 0.0693897i | ||||
\(767\) | 6.65574 | − | 1.78340i | 0.240325 | − | 0.0643949i | ||||
\(768\) | 0.258819 | − | 0.965926i | 0.00933933 | − | 0.0348548i | ||||
\(769\) | 26.9574 | + | 4.75332i | 0.972110 | + | 0.171409i | 0.637080 | − | 0.770798i | \(-0.280142\pi\) |
0.335031 | + | 0.942207i | \(0.391253\pi\) | |||||||
\(770\) | −0.681911 | − | 4.88285i | −0.0245744 | − | 0.175966i | ||||
\(771\) | −12.8745 | − | 22.2994i | −0.463665 | − | 0.803092i | ||||
\(772\) | −0.401186 | − | 1.49725i | −0.0144390 | − | 0.0538871i | ||||
\(773\) | 1.47762 | + | 16.8892i | 0.0531462 | + | 0.607463i | 0.975336 | + | 0.220726i | \(0.0708426\pi\) |
−0.922190 | + | 0.386738i | \(0.873602\pi\) | |||||||
\(774\) | −9.97563 | − | 3.63083i | −0.358567 | − | 0.130508i | ||||
\(775\) | −37.2780 | − | 25.2388i | −1.33907 | − | 0.906604i | ||||
\(776\) | 0.974253 | − | 0.817495i | 0.0349736 | − | 0.0293464i | ||||
\(777\) | −5.24237 | + | 7.48687i | −0.188069 | + | 0.268590i | ||||
\(778\) | 17.6793 | + | 17.6793i | 0.633832 | + | 0.633832i | ||||
\(779\) | −4.79711 | − | 1.86644i | −0.171874 | − | 0.0668723i | ||||
\(780\) | 10.1083 | − | 3.27467i | 0.361935 | − | 0.117252i | ||||
\(781\) | 5.79754 | − | 1.02226i | 0.207452 | − | 0.0365794i | ||||
\(782\) | −0.303412 | + | 3.46802i | −0.0108500 | + | 0.124016i | ||||
\(783\) | −0.731118 | + | 1.56789i | −0.0261280 | + | 0.0560318i | ||||
\(784\) | −4.66406 | + | 12.8144i | −0.166573 | + | 0.457657i | ||||
\(785\) | −2.54315 | − | 6.00580i | −0.0907690 | − | 0.214356i | ||||
\(786\) | 8.54888 | − | 14.8071i | 0.304928 | − | 0.528151i | ||||
\(787\) | 45.1787 | + | 12.1056i | 1.61045 | + | 0.431518i | 0.948175 | − | 0.317748i | \(-0.102927\pi\) |
0.662270 | + | 0.749265i | \(0.269593\pi\) | |||||||
\(788\) | 12.4506 | + | 17.7813i | 0.443533 | + | 0.633431i | ||||
\(789\) | −1.04971 | + | 5.95322i | −0.0373708 | + | 0.211940i | ||||
\(790\) | −18.5728 | + | 0.957165i | −0.660789 | + | 0.0340544i | ||||
\(791\) | 13.3987 | + | 7.73577i | 0.476405 | + | 0.275052i | ||||
\(792\) | 0.483510 | − | 0.0423017i | 0.0171808 | − | 0.00150312i | ||||
\(793\) | 12.7412 | + | 27.3235i | 0.452452 | + | 0.970286i | ||||
\(794\) | 20.1840 | − | 7.34637i | 0.716303 | − | 0.260713i | ||||
\(795\) | −12.3767 | − | 7.74878i | −0.438956 | − | 0.274821i | ||||
\(796\) | 0.635474 | + | 3.60395i | 0.0225238 | + | 0.127739i | ||||
\(797\) | 5.37410 | − | 5.37410i | 0.190361 | − | 0.190361i | −0.605491 | − | 0.795852i | \(-0.707023\pi\) |
0.795852 | + | 0.605491i | \(0.207023\pi\) | |||||||
\(798\) | 19.7593 | − | 1.29168i | 0.699472 | − | 0.0457248i | ||||
\(799\) | − | 58.7722i | − | 2.07921i | ||||||
\(800\) | 4.99938 | − | 0.0785686i | 0.176755 | − | 0.00277782i | ||||
\(801\) | −4.05679 | − | 4.83470i | −0.143340 | − | 0.170826i | ||||
\(802\) | −3.63478 | − | 1.69492i | −0.128348 | − | 0.0598499i | ||||
\(803\) | 1.86955 | − | 0.871784i | 0.0659749 | − | 0.0307646i | ||||
\(804\) | −7.27506 | + | 8.67008i | −0.256571 | + | 0.305770i | ||||
\(805\) | −1.30802 | + | 6.12757i | −0.0461018 | + | 0.215968i | ||||
\(806\) | 37.0522 | − | 21.3921i | 1.30511 | − | 0.753504i | ||||
\(807\) | 5.75939 | − | 4.03277i | 0.202740 | − | 0.141960i | ||||
\(808\) | −14.6302 | + | 10.2442i | −0.514688 | + | 0.360388i | ||||
\(809\) | 7.19773 | − | 4.15561i | 0.253059 | − | 0.146103i | −0.368105 | − | 0.929784i | \(-0.619993\pi\) |
0.621164 | + | 0.783681i | \(0.286660\pi\) | |||||||
\(810\) | −1.21622 | − | 1.87638i | −0.0427336 | − | 0.0659294i | ||||
\(811\) | 6.14689 | − | 7.32558i | 0.215846 | − | 0.257236i | −0.647247 | − | 0.762281i | \(-0.724080\pi\) |
0.863093 | + | 0.505045i | \(0.168524\pi\) | |||||||
\(812\) | −7.12256 | + | 3.32131i | −0.249953 | + | 0.116555i | ||||
\(813\) | 10.8371 | + | 5.05340i | 0.380072 | + | 0.177231i | ||||
\(814\) | 0.627688 | + | 0.748050i | 0.0220005 | + | 0.0262191i | ||||
\(815\) | −38.4542 | − | 11.7932i | −1.34699 | − | 0.413098i | ||||
\(816\) | − | 5.64390i | − | 0.197576i | ||||||
\(817\) | −27.3683 | + | 37.3122i | −0.957497 | + | 1.30539i | ||||
\(818\) | −7.43651 | + | 7.43651i | −0.260012 | + | 0.260012i | ||||
\(819\) | −3.74848 | − | 21.2587i | −0.130983 | − | 0.742839i | ||||
\(820\) | −1.40123 | + | 2.23811i | −0.0489332 | + | 0.0781582i | ||||
\(821\) | −0.377129 | + | 0.137264i | −0.0131619 | + | 0.00479053i | −0.348593 | − | 0.937274i | \(-0.613340\pi\) |
0.335431 | + | 0.942065i | \(0.391118\pi\) | |||||||
\(822\) | 0.617227 | + | 1.32365i | 0.0215283 | + | 0.0461675i | ||||
\(823\) | 31.7454 | − | 2.77736i | 1.10658 | − | 0.0968129i | 0.480811 | − | 0.876824i | \(-0.340342\pi\) |
0.625765 | + | 0.780012i | \(0.284787\pi\) | |||||||
\(824\) | 10.8420 | + | 6.25961i | 0.377697 | + | 0.218064i | ||||
\(825\) | 0.865741 | + | 2.26711i | 0.0301412 | + | 0.0789306i | ||||
\(826\) | 1.14388 | − | 6.48726i | 0.0398006 | − | 0.225721i | ||||
\(827\) | −20.6171 | − | 29.4443i | −0.716928 | − | 1.02388i | −0.997939 | − | 0.0641747i | \(-0.979559\pi\) |
0.281011 | − | 0.959705i | \(-0.409330\pi\) | |||||||
\(828\) | −0.595802 | − | 0.159645i | −0.0207055 | − | 0.00554803i | ||||
\(829\) | −8.79341 | + | 15.2306i | −0.305408 | + | 0.528982i | −0.977352 | − | 0.211620i | \(-0.932126\pi\) |
0.671944 | + | 0.740602i | \(0.265459\pi\) | |||||||
\(830\) | 13.0001 | − | 32.0960i | 0.451240 | − | 1.11407i | ||||
\(831\) | 2.12416 | − | 5.83608i | 0.0736863 | − | 0.202451i | ||||
\(832\) | −2.00822 | + | 4.30665i | −0.0696227 | + | 0.149306i | ||||
\(833\) | −6.70792 | + | 76.6718i | −0.232416 | + | 2.65652i | ||||
\(834\) | 22.1970 | − | 3.91393i | 0.768619 | − | 0.135528i | ||||
\(835\) | −1.06174 | + | 2.07930i | −0.0367429 | + | 0.0719572i | ||||
\(836\) | 0.413095 | − | 2.07490i | 0.0142872 | − | 0.0717619i | ||||
\(837\) | −6.36655 | − | 6.36655i | −0.220060 | − | 0.220060i | ||||
\(838\) | −3.41984 | + | 4.88404i | −0.118137 | + | 0.168716i | ||||
\(839\) | 19.9709 | − | 16.7576i | 0.689471 | − | 0.578535i | −0.229285 | − | 0.973359i | \(-0.573639\pi\) |
0.918757 | + | 0.394824i | \(0.129194\pi\) | |||||||
\(840\) | 1.24671 | − | 10.0812i | 0.0430155 | − | 0.347833i | ||||
\(841\) | 24.4388 | + | 8.89498i | 0.842716 | + | 0.306724i | ||||
\(842\) | 3.12795 | + | 35.7526i | 0.107796 | + | 1.23212i | ||||
\(843\) | 3.69973 | + | 13.8076i | 0.127425 | + | 0.475558i | ||||
\(844\) | −5.10332 | − | 8.83921i | −0.175664 | − | 0.304258i | ||||
\(845\) | −21.2161 | + | 2.96292i | −0.729857 | + | 0.101928i | ||||
\(846\) | 10.2552 | + | 1.80827i | 0.352581 | + | 0.0621695i | ||||
\(847\) | 12.6563 | − | 47.2341i | 0.434877 | − | 1.62298i | ||||
\(848\) | 6.30781 | − | 1.69017i | 0.216611 | − | 0.0580408i | ||||
\(849\) | 17.4211 | + | 14.6180i | 0.597890 | + | 0.501690i | ||||
\(850\) | 27.1398 | − | 7.73117i | 0.930888 | − | 0.265177i | ||||
\(851\) | −0.424448 | − | 1.16616i | −0.0145499 | − | 0.0399755i | ||||
\(852\) | 12.0830 | + | 1.05713i | 0.413957 | + | 0.0362166i | ||||
\(853\) | 33.9007 | + | 23.7375i | 1.16074 | + | 0.812757i | 0.985148 | − | 0.171706i | \(-0.0549280\pi\) |
0.175589 | + | 0.984464i | \(0.443817\pi\) | |||||||
\(854\) | 28.8216 | 0.986254 | ||||||||
\(855\) | −9.33617 | + | 2.79927i | −0.319290 | + | 0.0957329i | ||||
\(856\) | 7.33459 | 0.250691 | ||||||||
\(857\) | 2.57411 | + | 1.80241i | 0.0879298 | + | 0.0615691i | 0.616715 | − | 0.787187i | \(-0.288463\pi\) |
−0.528785 | + | 0.848756i | \(0.677352\pi\) | |||||||
\(858\) | −2.29758 | − | 0.201012i | −0.0784379 | − | 0.00686243i | ||||
\(859\) | −16.8900 | − | 46.4049i | −0.576280 | − | 1.58332i | −0.794401 | − | 0.607394i | \(-0.792215\pi\) |
0.218121 | − | 0.975922i | \(-0.430007\pi\) | |||||||
\(860\) | 16.1740 | + | 17.3748i | 0.551529 | + | 0.592475i | ||||
\(861\) | 4.10948 | + | 3.44826i | 0.140051 | + | 0.117517i | ||||
\(862\) | 9.98332 | − | 2.67502i | 0.340033 | − | 0.0911116i | ||||
\(863\) | −4.18619 | + | 15.6231i | −0.142499 | + | 0.531815i | 0.857354 | + | 0.514726i | \(0.172107\pi\) |
−0.999854 | + | 0.0170889i | \(0.994560\pi\) | |||||||
\(864\) | 0.984808 | + | 0.173648i | 0.0335038 | + | 0.00590763i | ||||
\(865\) | −2.05197 | + | 2.71814i | −0.0697691 | + | 0.0924195i | ||||
\(866\) | −13.3417 | − | 23.1086i | −0.453371 | − | 0.785261i | ||||
\(867\) | −3.84441 | − | 14.3475i | −0.130563 | − | 0.487267i | ||||
\(868\) | −3.56481 | − | 40.7459i | −0.120997 | − | 1.38301i | ||||
\(869\) | 3.79328 | + | 1.38064i | 0.128678 | + | 0.0468350i | ||||
\(870\) | 3.05036 | − | 2.37894i | 0.103417 | − | 0.0806535i | ||||
\(871\) | 41.1990 | − | 34.5701i | 1.39598 | − | 1.17136i | ||||
\(872\) | 4.64291 | − | 6.63076i | 0.157229 | − | 0.224546i | ||||
\(873\) | 0.899296 | + | 0.899296i | 0.0304366 | + | 0.0304366i | ||||
\(874\) | −1.39520 | + | 2.29832i | −0.0471932 | + | 0.0777419i | ||||
\(875\) | 50.1850 | − | 7.81439i | 1.69656 | − | 0.264175i | ||||
\(876\) | 4.18553 | − | 0.738022i | 0.141416 | − | 0.0249355i | ||||
\(877\) | −3.80642 | + | 43.5076i | −0.128534 | + | 1.46915i | 0.608642 | + | 0.793445i | \(0.291715\pi\) |
−0.737175 | + | 0.675702i | \(0.763841\pi\) | |||||||
\(878\) | 15.0794 | − | 32.3379i | 0.508906 | − | 1.09135i | ||||
\(879\) | 3.83338 | − | 10.5321i | 0.129297 | − | 0.355240i | ||||
\(880\) | −1.00591 | − | 0.407432i | −0.0339093 | − | 0.0137345i | ||||
\(881\) | 25.2901 | − | 43.8037i | 0.852044 | − | 1.47578i | −0.0273160 | − | 0.999627i | \(-0.508696\pi\) |
0.879360 | − | 0.476157i | \(-0.157971\pi\) | |||||||
\(882\) | −13.1721 | − | 3.52946i | −0.443529 | − | 0.118843i | ||||
\(883\) | −0.770743 | − | 1.10074i | −0.0259376 | − | 0.0370427i | 0.805974 | − | 0.591951i | \(-0.201642\pi\) |
−0.831911 | + | 0.554908i | \(0.812753\pi\) | |||||||
\(884\) | −4.65708 | + | 26.4116i | −0.156635 | + | 0.888319i | ||||
\(885\) | 0.166881 | + | 3.23815i | 0.00560966 | + | 0.108849i | ||||
\(886\) | −22.1351 | − | 12.7797i | −0.743644 | − | 0.429343i | ||||
\(887\) | 14.7374 | − | 1.28936i | 0.494834 | − | 0.0432924i | 0.162992 | − | 0.986627i | \(-0.447885\pi\) |
0.331842 | + | 0.943335i | \(0.392330\pi\) | |||||||
\(888\) | 0.850282 | + | 1.82344i | 0.0285336 | + | 0.0611905i | ||||
\(889\) | 2.61919 | − | 0.953309i | 0.0878449 | − | 0.0319729i | ||||
\(890\) | 3.16264 | + | 13.7534i | 0.106012 | + | 0.461016i | ||||
\(891\) | 0.0842814 | + | 0.477984i | 0.00282353 | + | 0.0160131i | ||||
\(892\) | 0.0592496 | − | 0.0592496i | 0.00198382 | − | 0.00198382i | ||||
\(893\) | 20.0829 | − | 40.7064i | 0.672049 | − | 1.36219i | ||||
\(894\) | 14.3867i | 0.481164i | ||||||||
\(895\) | −6.38344 | − | 12.0307i | −0.213375 | − | 0.402143i | ||||
\(896\) | 2.92004 | + | 3.47997i | 0.0975516 | + | 0.116258i | ||||
\(897\) | 2.65643 | + | 1.23871i | 0.0886955 | + | 0.0413594i | ||||
\(898\) | 29.4352 | − | 13.7259i | 0.982267 | − | 0.458038i | ||||
\(899\) | 10.0121 | − | 11.9320i | 0.333923 | − | 0.397954i | ||||
\(900\) | 0.513995 | + | 4.97351i | 0.0171332 | + | 0.165784i | ||||
\(901\) | 31.9187 | − | 18.4283i | 1.06337 | − | 0.613935i | ||||
\(902\) | 0.469503 | − | 0.328749i | 0.0156327 | − | 0.0109462i | ||||
\(903\) | 39.5039 | − | 27.6609i | 1.31461 | − | 0.920499i | ||||
\(904\) | 2.94946 | − | 1.70287i | 0.0980977 | − | 0.0566367i | ||||
\(905\) | −45.3751 | − | 9.68602i | −1.50832 | − | 0.321974i | ||||
\(906\) | 1.90575 | − | 2.27118i | 0.0633143 | − | 0.0754550i | ||||
\(907\) | −35.1529 | + | 16.3921i | −1.16723 | + | 0.544290i | −0.906948 | − | 0.421242i | \(-0.861594\pi\) |
−0.260285 | + | 0.965532i | \(0.583816\pi\) | |||||||
\(908\) | 17.6270 | + | 8.21962i | 0.584974 | + | 0.272778i | ||||
\(909\) | −11.4803 | − | 13.6817i | −0.380777 | − | 0.453792i | ||||
\(910\) | −14.1527 | + | 46.1478i | −0.469157 | + | 1.52978i | ||||
\(911\) | − | 42.5923i | − | 1.41115i | −0.708637 | − | 0.705573i | \(-0.750690\pi\) | ||
0.708637 | − | 0.705573i | \(-0.249310\pi\) | |||||||
\(912\) | 1.92857 | − | 3.90905i | 0.0638612 | − | 0.129441i | ||||
\(913\) | −5.31495 | + | 5.31495i | −0.175899 | + | 0.175899i | ||||
\(914\) | 3.26503 | + | 18.5169i | 0.107997 | + | 0.612484i | ||||
\(915\) | −13.8259 | + | 3.17929i | −0.457069 | + | 0.105104i | ||||
\(916\) | 11.1546 | − | 4.05994i | 0.368559 | − | 0.134144i | ||||
\(917\) | 32.8253 | + | 70.3940i | 1.08399 | + | 2.32462i | ||||
\(918\) | 5.62243 | − | 0.491899i | 0.185568 | − | 0.0162351i | ||||
\(919\) | −4.24434 | − | 2.45047i | −0.140008 | − | 0.0808336i | 0.428360 | − | 0.903608i | \(-0.359092\pi\) |
−0.568368 | + | 0.822775i | \(0.692425\pi\) | |||||||
\(920\) | 1.02418 | + | 0.923789i | 0.0337662 | + | 0.0304564i | ||||
\(921\) | −2.96836 | + | 16.8344i | −0.0978107 | + | 0.554712i | ||||
\(922\) | −10.7485 | − | 15.3504i | −0.353983 | − | 0.505540i | ||||
\(923\) | −55.6722 | − | 14.9173i | −1.83247 | − | 0.491010i | ||||
\(924\) | −1.10243 | + | 1.90947i | −0.0362674 | + | 0.0628170i | ||||
\(925\) | −7.60362 | + | 6.58654i | −0.250005 | + | 0.216564i | ||||
\(926\) | −1.53622 | + | 4.22072i | −0.0504832 | + | 0.138702i | ||||
\(927\) | −5.29085 | + | 11.3463i | −0.173774 | + | 0.372660i | ||||
\(928\) | −0.150777 | + | 1.72339i | −0.00494950 | + | 0.0565731i | ||||
\(929\) | −32.7763 | + | 5.77935i | −1.07536 | + | 0.189614i | −0.683161 | − | 0.730267i | \(-0.739395\pi\) |
−0.392196 | + | 0.919882i | \(0.628284\pi\) | |||||||
\(930\) | 6.20473 | + | 19.1528i | 0.203461 | + | 0.628046i | ||||
\(931\) | −30.8454 | + | 50.8118i | −1.01092 | + | 1.66529i | ||||
\(932\) | 4.59790 | + | 4.59790i | 0.150609 | + | 0.150609i | ||||
\(933\) | 0.336269 | − | 0.480241i | 0.0110089 | − | 0.0157224i | ||||
\(934\) | 16.1794 | − | 13.5761i | 0.529406 | − | 0.444224i | ||||
\(935\) | −6.07897 | − | 0.751770i | −0.198804 | − | 0.0245855i | ||||
\(936\) | −4.46529 | − | 1.62523i | −0.145953 | − | 0.0531224i | ||||
\(937\) | −0.287966 | − | 3.29147i | −0.00940744 | − | 0.107527i | 0.990039 | − | 0.140792i | \(-0.0449650\pi\) |
−0.999447 | + | 0.0332650i | \(0.989409\pi\) | |||||||
\(938\) | −13.3072 | − | 49.6631i | −0.434495 | − | 1.62156i | ||||
\(939\) | −2.14365 | − | 3.71290i | −0.0699552 | − | 0.121166i | ||||
\(940\) | −18.5841 | − | 14.0295i | −0.606146 | − | 0.457590i | ||||
\(941\) | −44.5962 | − | 7.86351i | −1.45379 | − | 0.256343i | −0.609741 | − | 0.792601i | \(-0.708726\pi\) |
−0.844054 | + | 0.536258i | \(0.819837\pi\) | |||||||
\(942\) | −0.754911 | + | 2.81737i | −0.0245963 | + | 0.0917948i | ||||
\(943\) | −0.703580 | + | 0.188524i | −0.0229117 | + | 0.00613918i | ||||
\(944\) | −1.11082 | − | 0.932086i | −0.0361540 | − | 0.0303368i | ||||
\(945\) | 10.1515 | + | 0.363334i | 0.330227 | + | 0.0118192i | ||||
\(946\) | −1.76225 | − | 4.84174i | −0.0572957 | − | 0.157419i | ||||
\(947\) | −38.4896 | − | 3.36741i | −1.25074 | − | 0.109426i | −0.557530 | − | 0.830157i | \(-0.688251\pi\) |
−0.693215 | + | 0.720731i | \(0.743806\pi\) | |||||||
\(948\) | 6.81290 | + | 4.77044i | 0.221273 | + | 0.154937i | ||||
\(949\) | −20.1959 | −0.655587 | ||||||||
\(950\) | 21.4392 | + | 3.91917i | 0.695580 | + | 0.127155i | ||||
\(951\) | −16.7860 | −0.544323 | ||||||||
\(952\) | 21.0022 | + | 14.7059i | 0.680686 | + | 0.476621i | ||||
\(953\) | 6.11113 | + | 0.534655i | 0.197959 | + | 0.0173192i | 0.185704 | − | 0.982606i | \(-0.440543\pi\) |
0.0122550 | + | 0.999925i | \(0.496099\pi\) | |||||||
\(954\) | 2.23350 | + | 6.13650i | 0.0723123 | + | 0.198677i | ||||
\(955\) | −33.9535 | − | 1.21524i | −1.09871 | − | 0.0393243i | ||||
\(956\) | 16.5550 | + | 13.8913i | 0.535427 | + | 0.449277i | ||||
\(957\) | −0.811044 | + | 0.217319i | −0.0262173 | + | 0.00702492i | ||||
\(958\) | 0.826538 | − | 3.08468i | 0.0267042 | − | 0.0996615i | ||||
\(959\) | −6.53385 | − | 1.15209i | −0.210989 | − | 0.0372031i | ||||
\(960\) | −1.78463 | − | 1.34725i | −0.0575988 | − | 0.0434824i | ||||
\(961\) | 25.0329 | + | 43.3583i | 0.807514 | + | 1.39866i | ||||
\(962\) | −2.47443 | − | 9.23470i | −0.0797788 | − | 0.297739i | ||||
\(963\) | 0.639252 | + | 7.30668i | 0.0205996 | + | 0.235455i | ||||
\(964\) | 1.16112 | + | 0.422613i | 0.0373972 | + | 0.0136115i | ||||
\(965\) | −3.43985 | − | 0.425396i | −0.110733 | − | 0.0136940i | ||||
\(966\) | 2.14651 | − | 1.80114i | 0.0690628 | − | 0.0579506i | ||||
\(967\) | 0.808575 | − | 1.15477i | 0.0260020 | − | 0.0371347i | −0.805941 | − | 0.591996i | \(-0.798340\pi\) |
0.831943 | + | 0.554862i | \(0.187229\pi\) | |||||||
\(968\) | −7.61160 | − | 7.61160i | −0.244646 | − | 0.244646i | ||||
\(969\) | 4.80361 | − | 24.1277i | 0.154314 | − | 0.775092i | ||||
\(970\) | −0.876438 | − | 2.70540i | −0.0281407 | − | 0.0868652i | ||||
\(971\) | −37.4318 | + | 6.60023i | −1.20124 | + | 0.211812i | −0.738236 | − | 0.674543i | \(-0.764341\pi\) |
−0.463007 | + | 0.886354i | \(0.653230\pi\) | |||||||
\(972\) | −0.0871557 | + | 0.996195i | −0.00279552 | + | 0.0319530i | ||||
\(973\) | −43.2725 | + | 92.7982i | −1.38725 | + | 2.97497i | ||||
\(974\) | 11.0473 | − | 30.3522i | 0.353979 | − | 0.972549i | ||||
\(975\) | 1.69858 | − | 23.6985i | 0.0543981 | − | 0.758960i | ||||
\(976\) | 3.17224 | − | 5.49449i | 0.101541 | − | 0.175874i | ||||
\(977\) | 33.3547 | + | 8.93736i | 1.06711 | + | 0.285931i | 0.749305 | − | 0.662225i | \(-0.230388\pi\) |
0.317805 | + | 0.948156i | \(0.397054\pi\) | |||||||
\(978\) | 10.3174 | + | 14.7348i | 0.329914 | + | 0.471166i | ||||
\(979\) | 0.531921 | − | 3.01667i | 0.0170003 | − | 0.0964132i | ||||
\(980\) | 22.6428 | + | 20.4234i | 0.723298 | + | 0.652400i | ||||
\(981\) | 7.01019 | + | 4.04733i | 0.223818 | + | 0.129221i | ||||
\(982\) | 31.6038 | − | 2.76498i | 1.00852 | − | 0.0882339i | ||||
\(983\) | −6.08366 | − | 13.0464i | −0.194039 | − | 0.416117i | 0.785084 | − | 0.619390i | \(-0.212620\pi\) |
−0.979122 | + | 0.203273i | \(0.934842\pi\) | |||||||
\(984\) | 1.10968 | − | 0.403891i | 0.0353753 | − | 0.0128756i | ||||
\(985\) | 47.3036 | − | 10.8776i | 1.50722 | − | 0.346588i | ||||
\(986\) | 1.69547 | + | 9.61547i | 0.0539947 | + | 0.306219i | ||||
\(987\) | −33.4502 | + | 33.4502i | −1.06473 | + | 1.06473i | ||||
\(988\) | −12.2506 | + | 16.7017i | −0.389744 | + | 0.531352i | ||||
\(989\) | 6.54806i | 0.208216i | ||||||||
\(990\) | 0.318211 | − | 1.03759i | 0.0101134 | − | 0.0329769i | ||||
\(991\) | −25.8937 | − | 30.8589i | −0.822539 | − | 0.980264i | 0.177454 | − | 0.984129i | \(-0.443214\pi\) |
−0.999993 | + | 0.00386538i | \(0.998770\pi\) | |||||||
\(992\) | −8.16009 | − | 3.80511i | −0.259083 | − | 0.120812i | ||||
\(993\) | −29.6370 | + | 13.8200i | −0.940502 | + | 0.438563i | ||||
\(994\) | −35.4176 | + | 42.2091i | −1.12338 | + | 1.33879i | ||||
\(995\) | 8.00270 | + | 1.70830i | 0.253703 | + | 0.0541567i | ||||
\(996\) | −13.4117 | + | 7.74324i | −0.424966 | + | 0.245354i | ||||
\(997\) | 34.1291 | − | 23.8974i | 1.08088 | − | 0.756839i | 0.109407 | − | 0.993997i | \(-0.465105\pi\) |
0.971471 | + | 0.237158i | \(0.0762158\pi\) | |||||||
\(998\) | 11.4654 | − | 8.02819i | 0.362932 | − | 0.254128i | ||||
\(999\) | −1.74239 | + | 1.00597i | −0.0551268 | + | 0.0318275i |
(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 | 570.2.bh.a.67.5 | ✓ | 120 | |
5.3 | odd | 4 | inner | 570.2.bh.a.523.5 | yes | 120 | |
19.2 | odd | 18 | inner | 570.2.bh.a.97.5 | yes | 120 | |
95.78 | even | 36 | inner | 570.2.bh.a.553.5 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bh.a.67.5 | ✓ | 120 | 1.1 | even | 1 | trivial | |
570.2.bh.a.97.5 | yes | 120 | 19.2 | odd | 18 | inner | |
570.2.bh.a.523.5 | yes | 120 | 5.3 | odd | 4 | inner | |
570.2.bh.a.553.5 | yes | 120 | 95.78 | even | 36 | inner |