Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(6,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.k (of order \(9\), degree \(6\), 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: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 36.1 | ||
Root | \(1.61137 + 2.79097i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 95.36 |
Dual form | 95.2.k.a.66.1 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.385975 | + | 2.18897i | −0.272925 | + | 1.54784i | 0.472551 | + | 0.881304i | \(0.343333\pi\) |
−0.745476 | + | 0.666533i | \(0.767778\pi\) | |||||||
\(3\) | 0.794389 | + | 0.666572i | 0.458641 | + | 0.384845i | 0.842631 | − | 0.538492i | \(-0.181006\pi\) |
−0.383990 | + | 0.923337i | \(0.625450\pi\) | |||||||
\(4\) | −2.76323 | − | 1.00573i | −1.38162 | − | 0.502867i | ||||
\(5\) | −0.939693 | + | 0.342020i | −0.420243 | + | 0.152956i | ||||
\(6\) | −1.76572 | + | 1.48162i | −0.720852 | + | 0.604867i | ||||
\(7\) | 1.01254 | + | 1.75377i | 0.382704 | + | 0.662863i | 0.991448 | − | 0.130504i | \(-0.0416596\pi\) |
−0.608744 | + | 0.793367i | \(0.708326\pi\) | |||||||
\(8\) | 1.04532 | − | 1.81055i | 0.369577 | − | 0.640126i | ||||
\(9\) | −0.334208 | − | 1.89539i | −0.111403 | − | 0.631796i | ||||
\(10\) | −0.385975 | − | 2.18897i | −0.122056 | − | 0.692213i | ||||
\(11\) | −0.0424078 | + | 0.0734524i | −0.0127864 | + | 0.0221467i | −0.872348 | − | 0.488886i | \(-0.837403\pi\) |
0.859561 | + | 0.511032i | \(0.170737\pi\) | |||||||
\(12\) | −1.52469 | − | 2.64084i | −0.440139 | − | 0.762344i | ||||
\(13\) | 4.38252 | − | 3.67737i | 1.21549 | − | 1.01992i | 0.216443 | − | 0.976295i | \(-0.430554\pi\) |
0.999048 | − | 0.0436233i | \(-0.0138901\pi\) | |||||||
\(14\) | −4.22977 | + | 1.53951i | −1.13045 | + | 0.411451i | ||||
\(15\) | −0.974463 | − | 0.354675i | −0.251605 | − | 0.0915768i | ||||
\(16\) | −0.945441 | − | 0.793319i | −0.236360 | − | 0.198330i | ||||
\(17\) | −0.439455 | + | 2.49227i | −0.106583 | + | 0.604464i | 0.883993 | + | 0.467501i | \(0.154845\pi\) |
−0.990576 | + | 0.136964i | \(0.956266\pi\) | |||||||
\(18\) | 4.27795 | 1.00832 | ||||||||
\(19\) | 3.21565 | + | 2.94271i | 0.737722 | + | 0.675105i | ||||
\(20\) | 2.94057 | 0.657532 | ||||||||
\(21\) | −0.364663 | + | 2.06811i | −0.0795760 | + | 0.451298i | ||||
\(22\) | −0.144417 | − | 0.121180i | −0.0307898 | − | 0.0258357i | ||||
\(23\) | 0.290447 | + | 0.105714i | 0.0605624 | + | 0.0220429i | 0.372124 | − | 0.928183i | \(-0.378630\pi\) |
−0.311561 | + | 0.950226i | \(0.600852\pi\) | |||||||
\(24\) | 2.03725 | − | 0.741500i | 0.415853 | − | 0.151358i | ||||
\(25\) | 0.766044 | − | 0.642788i | 0.153209 | − | 0.128558i | ||||
\(26\) | 6.35811 | + | 11.0126i | 1.24693 | + | 2.15974i | ||||
\(27\) | 2.55342 | − | 4.42266i | 0.491406 | − | 0.851141i | ||||
\(28\) | −1.03406 | − | 5.86442i | −0.195418 | − | 1.10827i | ||||
\(29\) | 0.455678 | + | 2.58428i | 0.0846172 | + | 0.479888i | 0.997439 | + | 0.0715288i | \(0.0227878\pi\) |
−0.912821 | + | 0.408359i | \(0.866101\pi\) | |||||||
\(30\) | 1.15249 | − | 1.99617i | 0.210415 | − | 0.364450i | ||||
\(31\) | −4.03639 | − | 6.99123i | −0.724957 | − | 1.25566i | −0.958992 | − | 0.283434i | \(-0.908526\pi\) |
0.234035 | − | 0.972228i | \(-0.424807\pi\) | |||||||
\(32\) | 5.30452 | − | 4.45102i | 0.937716 | − | 0.786837i | ||||
\(33\) | −0.0826495 | + | 0.0300820i | −0.0143874 | + | 0.00523660i | ||||
\(34\) | −5.28589 | − | 1.92391i | −0.906523 | − | 0.329947i | ||||
\(35\) | −1.55130 | − | 1.30170i | −0.262218 | − | 0.220027i | ||||
\(36\) | −0.982763 | + | 5.57352i | −0.163794 | + | 0.928921i | ||||
\(37\) | −5.01303 | −0.824136 | −0.412068 | − | 0.911153i | \(-0.635193\pi\) | ||||
−0.412068 | + | 0.911153i | \(0.635193\pi\) | |||||||
\(38\) | −7.68268 | + | 5.90316i | −1.24629 | + | 0.957619i | ||||
\(39\) | 5.93265 | 0.949985 | ||||||||
\(40\) | −0.363036 | + | 2.05888i | −0.0574011 | + | 0.325538i | ||||
\(41\) | −4.50461 | − | 3.77982i | −0.703502 | − | 0.590309i | 0.219265 | − | 0.975665i | \(-0.429634\pi\) |
−0.922768 | + | 0.385357i | \(0.874078\pi\) | |||||||
\(42\) | −4.38627 | − | 1.59647i | −0.676817 | − | 0.246341i | ||||
\(43\) | −0.611288 | + | 0.222491i | −0.0932205 | + | 0.0339295i | −0.388209 | − | 0.921571i | \(-0.626906\pi\) |
0.294989 | + | 0.955501i | \(0.404684\pi\) | |||||||
\(44\) | 0.191056 | − | 0.160315i | 0.0288028 | − | 0.0241684i | ||||
\(45\) | 0.962314 | + | 1.66678i | 0.143453 | + | 0.248468i | ||||
\(46\) | −0.343511 | + | 0.594978i | −0.0506479 | + | 0.0877247i | ||||
\(47\) | 1.19865 | + | 6.79791i | 0.174842 | + | 0.991576i | 0.938326 | + | 0.345751i | \(0.112376\pi\) |
−0.763485 | + | 0.645826i | \(0.776513\pi\) | |||||||
\(48\) | −0.222244 | − | 1.26041i | −0.0320782 | − | 0.181924i | ||||
\(49\) | 1.44953 | − | 2.51066i | 0.207075 | − | 0.358665i | ||||
\(50\) | 1.11137 | + | 1.92495i | 0.157171 | + | 0.272229i | ||||
\(51\) | −2.01037 | + | 1.68690i | −0.281509 | + | 0.236214i | ||||
\(52\) | −15.8084 | + | 5.75378i | −2.19223 | + | 0.797905i | ||||
\(53\) | −13.6767 | − | 4.97790i | −1.87864 | − | 0.683767i | −0.948977 | − | 0.315345i | \(-0.897880\pi\) |
−0.929659 | − | 0.368422i | \(-0.879898\pi\) | |||||||
\(54\) | 8.69551 | + | 7.29640i | 1.18331 | + | 0.992915i | ||||
\(55\) | 0.0147281 | − | 0.0835270i | 0.00198593 | − | 0.0112628i | ||||
\(56\) | 4.23372 | 0.565754 | ||||||||
\(57\) | 0.592951 | + | 4.48112i | 0.0785382 | + | 0.593539i | ||||
\(58\) | −5.83278 | −0.765882 | ||||||||
\(59\) | 1.29773 | − | 7.35981i | 0.168950 | − | 0.958166i | −0.775947 | − | 0.630799i | \(-0.782727\pi\) |
0.944897 | − | 0.327367i | \(-0.106161\pi\) | |||||||
\(60\) | 2.33596 | + | 1.96010i | 0.301571 | + | 0.253048i | ||||
\(61\) | −12.5139 | − | 4.55468i | −1.60224 | − | 0.583167i | −0.622355 | − | 0.782735i | \(-0.713824\pi\) |
−0.979884 | + | 0.199567i | \(0.936046\pi\) | |||||||
\(62\) | 16.8615 | − | 6.13710i | 2.14142 | − | 0.779412i | ||||
\(63\) | 2.98568 | − | 2.50528i | 0.376160 | − | 0.315636i | ||||
\(64\) | 6.46156 | + | 11.1918i | 0.807695 | + | 1.39897i | ||||
\(65\) | −2.86048 | + | 4.95451i | −0.354799 | + | 0.614531i | ||||
\(66\) | −0.0339479 | − | 0.192528i | −0.00417870 | − | 0.0236986i | ||||
\(67\) | 1.54242 | + | 8.74750i | 0.188437 | + | 1.06868i | 0.921460 | + | 0.388474i | \(0.126998\pi\) |
−0.733023 | + | 0.680204i | \(0.761891\pi\) | |||||||
\(68\) | 3.72088 | − | 6.44475i | 0.451223 | − | 0.781541i | ||||
\(69\) | 0.160262 | + | 0.277582i | 0.0192933 | + | 0.0334170i | ||||
\(70\) | 3.44814 | − | 2.89333i | 0.412131 | − | 0.345819i | ||||
\(71\) | 13.4720 | − | 4.90340i | 1.59883 | − | 0.581926i | 0.619642 | − | 0.784885i | \(-0.287278\pi\) |
0.979187 | + | 0.202958i | \(0.0650556\pi\) | |||||||
\(72\) | −3.78105 | − | 1.37619i | −0.445601 | − | 0.162186i | ||||
\(73\) | 8.31526 | + | 6.97733i | 0.973227 | + | 0.816635i | 0.983054 | − | 0.183317i | \(-0.0586835\pi\) |
−0.00982664 | + | 0.999952i | \(0.503128\pi\) | |||||||
\(74\) | 1.93490 | − | 10.9734i | 0.224928 | − | 1.27563i | ||||
\(75\) | 1.03700 | 0.119743 | ||||||||
\(76\) | −5.92601 | − | 11.3655i | −0.679760 | − | 1.30371i | ||||
\(77\) | −0.171758 | −0.0195737 | ||||||||
\(78\) | −2.28985 | + | 12.9864i | −0.259275 | + | 1.47042i | ||||
\(79\) | 0.0887829 | + | 0.0744977i | 0.00998886 | + | 0.00838165i | 0.647768 | − | 0.761837i | \(-0.275702\pi\) |
−0.637780 | + | 0.770219i | \(0.720147\pi\) | |||||||
\(80\) | 1.15976 | + | 0.422116i | 0.129665 | + | 0.0471940i | ||||
\(81\) | −0.449247 | + | 0.163512i | −0.0499163 | + | 0.0181681i | ||||
\(82\) | 10.0126 | − | 8.40155i | 1.10570 | − | 0.927796i | ||||
\(83\) | 1.48776 | + | 2.57688i | 0.163303 | + | 0.282849i | 0.936051 | − | 0.351863i | \(-0.114452\pi\) |
−0.772748 | + | 0.634713i | \(0.781118\pi\) | |||||||
\(84\) | 3.08761 | − | 5.34790i | 0.336886 | − | 0.583504i | ||||
\(85\) | −0.439455 | − | 2.49227i | −0.0476655 | − | 0.270325i | ||||
\(86\) | −0.251084 | − | 1.42397i | −0.0270751 | − | 0.153550i | ||||
\(87\) | −1.36062 | + | 2.35666i | −0.145874 | + | 0.252661i | ||||
\(88\) | 0.0886595 | + | 0.153563i | 0.00945113 | + | 0.0163698i | ||||
\(89\) | −8.52291 | + | 7.15157i | −0.903427 | + | 0.758065i | −0.970857 | − | 0.239659i | \(-0.922964\pi\) |
0.0674305 | + | 0.997724i | \(0.478520\pi\) | |||||||
\(90\) | −4.01996 | + | 1.46314i | −0.423740 | + | 0.154229i | ||||
\(91\) | 10.8867 | + | 3.96245i | 1.14124 | + | 0.415377i | ||||
\(92\) | −0.696253 | − | 0.584226i | −0.0725894 | − | 0.0609097i | ||||
\(93\) | 1.45369 | − | 8.24430i | 0.150741 | − | 0.854894i | ||||
\(94\) | −15.3431 | −1.58252 | ||||||||
\(95\) | −4.02819 | − | 1.66543i | −0.413284 | − | 0.170869i | ||||
\(96\) | 7.18078 | 0.732885 | ||||||||
\(97\) | −0.0392276 | + | 0.222471i | −0.00398296 | + | 0.0225885i | −0.986734 | − | 0.162343i | \(-0.948095\pi\) |
0.982752 | + | 0.184931i | \(0.0592062\pi\) | |||||||
\(98\) | 4.93627 | + | 4.14202i | 0.498639 | + | 0.418408i | ||||
\(99\) | 0.153394 | + | 0.0558308i | 0.0154167 | + | 0.00561121i | ||||
\(100\) | −2.76323 | + | 1.00573i | −0.276323 | + | 0.100573i | ||||
\(101\) | −9.65322 | + | 8.10001i | −0.960531 | + | 0.805981i | −0.981039 | − | 0.193808i | \(-0.937916\pi\) |
0.0205084 | + | 0.999790i | \(0.493472\pi\) | |||||||
\(102\) | −2.91663 | − | 5.05175i | −0.288790 | − | 0.500198i | ||||
\(103\) | −8.86152 | + | 15.3486i | −0.873152 | + | 1.51234i | −0.0144333 | + | 0.999896i | \(0.504594\pi\) |
−0.858719 | + | 0.512447i | \(0.828739\pi\) | |||||||
\(104\) | −2.07692 | − | 11.7788i | −0.203659 | − | 1.15501i | ||||
\(105\) | −0.364663 | − | 2.06811i | −0.0355874 | − | 0.201826i | ||||
\(106\) | 16.1753 | − | 28.0165i | 1.57109 | − | 2.72120i | ||||
\(107\) | −2.54806 | − | 4.41337i | −0.246330 | − | 0.426657i | 0.716174 | − | 0.697921i | \(-0.245891\pi\) |
−0.962505 | + | 0.271265i | \(0.912558\pi\) | |||||||
\(108\) | −11.5037 | + | 9.65277i | −1.10695 | + | 0.928838i | ||||
\(109\) | 5.76514 | − | 2.09834i | 0.552200 | − | 0.200984i | −0.0508237 | − | 0.998708i | \(-0.516185\pi\) |
0.603024 | + | 0.797723i | \(0.293962\pi\) | |||||||
\(110\) | 0.177153 | + | 0.0644786i | 0.0168909 | + | 0.00614779i | ||||
\(111\) | −3.98229 | − | 3.34154i | −0.377983 | − | 0.317165i | ||||
\(112\) | 0.434003 | − | 2.46135i | 0.0410094 | − | 0.232576i | ||||
\(113\) | 11.4316 | 1.07539 | 0.537697 | − | 0.843138i | \(-0.319294\pi\) | ||||
0.537697 | + | 0.843138i | \(0.319294\pi\) | |||||||
\(114\) | −10.0379 | − | 0.431649i | −0.940137 | − | 0.0404276i | ||||
\(115\) | −0.309088 | −0.0288226 | ||||||||
\(116\) | 1.33995 | − | 7.59925i | 0.124411 | − | 0.705572i | ||||
\(117\) | −8.43472 | − | 7.07757i | −0.779790 | − | 0.654321i | ||||
\(118\) | 15.6095 | + | 5.68140i | 1.43697 | + | 0.523015i | ||||
\(119\) | −4.81583 | + | 1.75282i | −0.441467 | + | 0.160681i | ||||
\(120\) | −1.66078 | + | 1.39356i | −0.151608 | + | 0.127214i | ||||
\(121\) | 5.49640 | + | 9.52005i | 0.499673 | + | 0.865459i | ||||
\(122\) | 14.8001 | − | 25.6345i | 1.33994 | − | 2.32084i | ||||
\(123\) | −1.05890 | − | 6.00529i | −0.0954774 | − | 0.541479i | ||||
\(124\) | 4.12216 | + | 23.3779i | 0.370181 | + | 2.09940i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | 4.33159 | + | 7.50253i | 0.385889 | + | 0.668379i | ||||
\(127\) | −1.10293 | + | 0.925472i | −0.0978696 | + | 0.0821224i | −0.690410 | − | 0.723419i | \(-0.742570\pi\) |
0.592540 | + | 0.805541i | \(0.298125\pi\) | |||||||
\(128\) | −13.9785 | + | 5.08776i | −1.23554 | + | 0.449699i | ||||
\(129\) | −0.633906 | − | 0.230723i | −0.0558123 | − | 0.0203140i | ||||
\(130\) | −9.74119 | − | 8.17383i | −0.854359 | − | 0.716892i | ||||
\(131\) | −0.174248 | + | 0.988207i | −0.0152241 | + | 0.0863400i | −0.991473 | − | 0.130311i | \(-0.958402\pi\) |
0.976249 | + | 0.216651i | \(0.0695135\pi\) | |||||||
\(132\) | 0.258634 | 0.0225112 | ||||||||
\(133\) | −1.90487 | + | 8.61913i | −0.165173 | + | 0.747373i | ||||
\(134\) | −19.7434 | −1.70557 | ||||||||
\(135\) | −0.886795 | + | 5.02926i | −0.0763231 | + | 0.432850i | ||||
\(136\) | 4.05301 | + | 3.40088i | 0.347543 | + | 0.291623i | ||||
\(137\) | 9.81678 | + | 3.57301i | 0.838704 | + | 0.305263i | 0.725426 | − | 0.688300i | \(-0.241643\pi\) |
0.113278 | + | 0.993563i | \(0.463865\pi\) | |||||||
\(138\) | −0.669476 | + | 0.243669i | −0.0569896 | + | 0.0207425i | ||||
\(139\) | 8.18488 | − | 6.86793i | 0.694233 | − | 0.582530i | −0.225894 | − | 0.974152i | \(-0.572530\pi\) |
0.920126 | + | 0.391622i | \(0.128086\pi\) | |||||||
\(140\) | 2.97744 | + | 5.15708i | 0.251640 | + | 0.435853i | ||||
\(141\) | −3.57909 | + | 6.19917i | −0.301414 | + | 0.522064i | ||||
\(142\) | 5.53355 | + | 31.3823i | 0.464366 | + | 2.63355i | ||||
\(143\) | 0.0842588 | + | 0.477855i | 0.00704607 | + | 0.0399603i | ||||
\(144\) | −1.18767 | + | 2.05711i | −0.0989729 | + | 0.171426i | ||||
\(145\) | −1.31207 | − | 2.27257i | −0.108962 | − | 0.188727i | ||||
\(146\) | −18.4826 | + | 15.5088i | −1.52963 | + | 1.28352i | ||||
\(147\) | 2.82502 | − | 1.02822i | 0.233004 | − | 0.0848064i | ||||
\(148\) | 13.8522 | + | 5.04177i | 1.13864 | + | 0.414431i | ||||
\(149\) | −3.86440 | − | 3.24262i | −0.316584 | − | 0.265645i | 0.470623 | − | 0.882334i | \(-0.344029\pi\) |
−0.787207 | + | 0.616689i | \(0.788474\pi\) | |||||||
\(150\) | −0.400256 | + | 2.26997i | −0.0326808 | + | 0.185342i | ||||
\(151\) | 20.8114 | 1.69360 | 0.846802 | − | 0.531909i | \(-0.178525\pi\) | ||||
0.846802 | + | 0.531909i | \(0.178525\pi\) | |||||||
\(152\) | 8.68933 | − | 2.74602i | 0.704797 | − | 0.222732i | ||||
\(153\) | 4.87069 | 0.393772 | ||||||||
\(154\) | 0.0662943 | − | 0.375974i | 0.00534214 | − | 0.0302968i | ||||
\(155\) | 6.18410 | + | 5.18908i | 0.496719 | + | 0.416797i | ||||
\(156\) | −16.3933 | − | 5.96667i | −1.31251 | − | 0.477716i | ||||
\(157\) | −22.1916 | + | 8.07709i | −1.77108 | + | 0.644622i | −0.771115 | + | 0.636696i | \(0.780301\pi\) |
−0.999969 | + | 0.00792593i | \(0.997477\pi\) | |||||||
\(158\) | −0.197341 | + | 0.165589i | −0.0156996 | + | 0.0131736i | ||||
\(159\) | −7.54647 | − | 13.0709i | −0.598474 | − | 1.03659i | ||||
\(160\) | −3.46228 | + | 5.99684i | −0.273717 | + | 0.474092i | ||||
\(161\) | 0.108691 | + | 0.616417i | 0.00856605 | + | 0.0485805i | ||||
\(162\) | −0.184526 | − | 1.04650i | −0.0144977 | − | 0.0822208i | ||||
\(163\) | 0.106766 | − | 0.184925i | 0.00836258 | − | 0.0144844i | −0.861814 | − | 0.507225i | \(-0.830671\pi\) |
0.870176 | + | 0.492740i | \(0.164005\pi\) | |||||||
\(164\) | 8.64580 | + | 14.9750i | 0.675124 | + | 1.16935i | ||||
\(165\) | 0.0673765 | − | 0.0565356i | 0.00524525 | − | 0.00440129i | ||||
\(166\) | −6.21495 | + | 2.26206i | −0.482374 | + | 0.175570i | ||||
\(167\) | −18.5353 | − | 6.74630i | −1.43431 | − | 0.522045i | −0.496144 | − | 0.868240i | \(-0.665251\pi\) |
−0.938162 | + | 0.346196i | \(0.887473\pi\) | |||||||
\(168\) | 3.36322 | + | 2.82208i | 0.259478 | + | 0.217728i | ||||
\(169\) | 3.42599 | − | 19.4298i | 0.263538 | − | 1.49460i | ||||
\(170\) | 5.62513 | 0.431428 | ||||||||
\(171\) | 4.50289 | − | 7.07839i | 0.344345 | − | 0.541298i | ||||
\(172\) | 1.91290 | 0.145857 | ||||||||
\(173\) | 2.18361 | − | 12.3839i | 0.166017 | − | 0.941527i | −0.781993 | − | 0.623287i | \(-0.785797\pi\) |
0.948010 | − | 0.318240i | \(-0.103092\pi\) | |||||||
\(174\) | −4.63350 | − | 3.88797i | −0.351265 | − | 0.294746i | ||||
\(175\) | 1.90295 | + | 0.692618i | 0.143850 | + | 0.0523570i | ||||
\(176\) | 0.0983652 | − | 0.0358020i | 0.00741456 | − | 0.00269868i | ||||
\(177\) | 5.93675 | − | 4.98152i | 0.446233 | − | 0.374434i | ||||
\(178\) | −12.3650 | − | 21.4167i | −0.926792 | − | 1.60525i | ||||
\(179\) | 5.40914 | − | 9.36891i | 0.404298 | − | 0.700265i | −0.589941 | − | 0.807446i | \(-0.700849\pi\) |
0.994240 | + | 0.107181i | \(0.0341825\pi\) | |||||||
\(180\) | −0.982763 | − | 5.57352i | −0.0732508 | − | 0.415426i | ||||
\(181\) | −0.939769 | − | 5.32969i | −0.0698524 | − | 0.396153i | −0.999609 | − | 0.0279769i | \(-0.991094\pi\) |
0.929756 | − | 0.368176i | \(-0.120018\pi\) | |||||||
\(182\) | −12.8757 | + | 22.3013i | −0.954409 | + | 1.65308i | ||||
\(183\) | −6.90488 | − | 11.9596i | −0.510423 | − | 0.884079i | ||||
\(184\) | 0.495012 | − | 0.415364i | 0.0364927 | − | 0.0306210i | ||||
\(185\) | 4.71070 | − | 1.71456i | 0.346338 | − | 0.126057i | ||||
\(186\) | 17.4854 | + | 6.36418i | 1.28209 | + | 0.466644i | ||||
\(187\) | −0.164427 | − | 0.137971i | −0.0120241 | − | 0.0100894i | ||||
\(188\) | 3.52473 | − | 19.9897i | 0.257067 | − | 1.45790i | ||||
\(189\) | 10.3418 | 0.752253 | ||||||||
\(190\) | 5.20036 | − | 8.17479i | 0.377273 | − | 0.593061i | ||||
\(191\) | 4.87144 | 0.352485 | 0.176243 | − | 0.984347i | \(-0.443606\pi\) | ||||
0.176243 | + | 0.984347i | \(0.443606\pi\) | |||||||
\(192\) | −2.32711 | + | 13.1977i | −0.167945 | + | 0.952462i | ||||
\(193\) | −1.06031 | − | 0.889706i | −0.0763228 | − | 0.0640424i | 0.603828 | − | 0.797115i | \(-0.293641\pi\) |
−0.680151 | + | 0.733072i | \(0.738086\pi\) | |||||||
\(194\) | −0.471841 | − | 0.171736i | −0.0338762 | − | 0.0123299i | ||||
\(195\) | −5.57487 | + | 2.02909i | −0.399225 | + | 0.145306i | ||||
\(196\) | −6.53044 | + | 5.47969i | −0.466460 | + | 0.391406i | ||||
\(197\) | −3.20375 | − | 5.54906i | −0.228258 | − | 0.395354i | 0.729034 | − | 0.684477i | \(-0.239970\pi\) |
−0.957292 | + | 0.289123i | \(0.906636\pi\) | |||||||
\(198\) | −0.181418 | + | 0.314225i | −0.0128928 | + | 0.0223310i | ||||
\(199\) | 2.71594 | + | 15.4029i | 0.192528 | + | 1.09188i | 0.915895 | + | 0.401418i | \(0.131482\pi\) |
−0.723367 | + | 0.690464i | \(0.757406\pi\) | |||||||
\(200\) | −0.363036 | − | 2.05888i | −0.0256706 | − | 0.145585i | ||||
\(201\) | −4.60555 | + | 7.97705i | −0.324851 | + | 0.562658i | ||||
\(202\) | −14.0048 | − | 24.2570i | −0.985374 | − | 1.70672i | ||||
\(203\) | −4.07083 | + | 3.41583i | −0.285716 | + | 0.239745i | ||||
\(204\) | 7.25171 | − | 2.63941i | 0.507721 | − | 0.184795i | ||||
\(205\) | 5.52573 | + | 2.01120i | 0.385933 | + | 0.140468i | ||||
\(206\) | −30.1773 | − | 25.3218i | −2.10255 | − | 1.76425i | ||||
\(207\) | 0.103300 | − | 0.585841i | 0.00717982 | − | 0.0407188i | ||||
\(208\) | −7.06074 | −0.489574 | ||||||||
\(209\) | −0.352518 | + | 0.111404i | −0.0243842 | + | 0.00770594i | ||||
\(210\) | 4.66777 | 0.322107 | ||||||||
\(211\) | 1.33429 | − | 7.56711i | 0.0918560 | − | 0.520941i | −0.903810 | − | 0.427935i | \(-0.859241\pi\) |
0.995666 | − | 0.0930062i | \(-0.0296477\pi\) | |||||||
\(212\) | 32.7854 | + | 27.5102i | 2.25171 | + | 1.88941i | ||||
\(213\) | 13.9705 | + | 5.08483i | 0.957240 | + | 0.348407i | ||||
\(214\) | 10.6442 | − | 3.87418i | 0.727625 | − | 0.264834i | ||||
\(215\) | 0.498326 | − | 0.418145i | 0.0339856 | − | 0.0285173i | ||||
\(216\) | −5.33830 | − | 9.24620i | −0.363225 | − | 0.629124i | ||||
\(217\) | 8.17400 | − | 14.1578i | 0.554887 | − | 0.961093i | ||||
\(218\) | 2.36800 | + | 13.4296i | 0.160382 | + | 0.909569i | ||||
\(219\) | 1.95466 | + | 11.0854i | 0.132084 | + | 0.749084i | ||||
\(220\) | −0.124703 | + | 0.215992i | −0.00840747 | + | 0.0145622i | ||||
\(221\) | 7.23908 | + | 12.5385i | 0.486953 | + | 0.843428i | ||||
\(222\) | 8.85160 | − | 7.42737i | 0.594080 | − | 0.498493i | ||||
\(223\) | −2.33040 | + | 0.848195i | −0.156055 | + | 0.0567993i | −0.418866 | − | 0.908048i | \(-0.637572\pi\) |
0.262812 | + | 0.964847i | \(0.415350\pi\) | |||||||
\(224\) | 13.1771 | + | 4.79607i | 0.880432 | + | 0.320451i | ||||
\(225\) | −1.47435 | − | 1.23713i | −0.0982901 | − | 0.0824751i | ||||
\(226\) | −4.41231 | + | 25.0234i | −0.293502 | + | 1.66453i | ||||
\(227\) | −0.453554 | −0.0301034 | −0.0150517 | − | 0.999887i | \(-0.504791\pi\) | ||||
−0.0150517 | + | 0.999887i | \(0.504791\pi\) | |||||||
\(228\) | 2.86836 | − | 12.9787i | 0.189962 | − | 0.859538i | ||||
\(229\) | 0.993282 | 0.0656379 | 0.0328190 | − | 0.999461i | \(-0.489552\pi\) | ||||
0.0328190 | + | 0.999461i | \(0.489552\pi\) | |||||||
\(230\) | 0.119300 | − | 0.676584i | 0.00786641 | − | 0.0446126i | ||||
\(231\) | −0.136443 | − | 0.114489i | −0.00897727 | − | 0.00753283i | ||||
\(232\) | 5.15529 | + | 1.87637i | 0.338461 | + | 0.123190i | ||||
\(233\) | 4.00611 | − | 1.45810i | 0.262449 | − | 0.0955236i | −0.207444 | − | 0.978247i | \(-0.566515\pi\) |
0.469893 | + | 0.882723i | \(0.344292\pi\) | |||||||
\(234\) | 18.7482 | − | 15.7316i | 1.22561 | − | 1.02841i | ||||
\(235\) | −3.45139 | − | 5.97798i | −0.225144 | − | 0.389960i | ||||
\(236\) | −10.9880 | + | 19.0317i | −0.715255 | + | 1.23886i | ||||
\(237\) | 0.0208701 | + | 0.118360i | 0.00135566 | + | 0.00768833i | ||||
\(238\) | −1.97808 | − | 11.2183i | −0.128220 | − | 0.727172i | ||||
\(239\) | −12.2291 | + | 21.1815i | −0.791037 | + | 1.37012i | 0.134288 | + | 0.990942i | \(0.457125\pi\) |
−0.925325 | + | 0.379175i | \(0.876208\pi\) | |||||||
\(240\) | 0.639926 | + | 1.10838i | 0.0413071 | + | 0.0715459i | ||||
\(241\) | 3.36665 | − | 2.82495i | 0.216865 | − | 0.181971i | −0.527883 | − | 0.849317i | \(-0.677014\pi\) |
0.744748 | + | 0.667346i | \(0.232570\pi\) | |||||||
\(242\) | −22.9606 | + | 8.35697i | −1.47596 | + | 0.537206i | ||||
\(243\) | −14.8625 | − | 5.40950i | −0.953428 | − | 0.347019i | ||||
\(244\) | 29.9980 | + | 25.1713i | 1.92042 | + | 1.61143i | ||||
\(245\) | −0.503416 | + | 2.85501i | −0.0321621 | + | 0.182400i | ||||
\(246\) | 13.5541 | 0.864179 | ||||||||
\(247\) | 24.9141 | + | 1.07135i | 1.58525 | + | 0.0681685i | ||||
\(248\) | −16.8773 | −1.07171 | ||||||||
\(249\) | −0.535813 | + | 3.03875i | −0.0339558 | + | 0.192573i | ||||
\(250\) | −1.70272 | − | 1.42875i | −0.107689 | − | 0.0903620i | ||||
\(251\) | 0.364101 | + | 0.132522i | 0.0229818 | + | 0.00836471i | 0.353485 | − | 0.935440i | \(-0.384996\pi\) |
−0.330504 | + | 0.943805i | \(0.607219\pi\) | |||||||
\(252\) | −10.7698 | + | 3.91987i | −0.678431 | + | 0.246929i | ||||
\(253\) | −0.0200822 | + | 0.0168509i | −0.00126256 | + | 0.00105941i | ||||
\(254\) | −1.60013 | − | 2.77150i | −0.100401 | − | 0.173899i | ||||
\(255\) | 1.31218 | − | 2.27276i | 0.0821718 | − | 0.142326i | ||||
\(256\) | −1.25346 | − | 7.10870i | −0.0783410 | − | 0.444294i | ||||
\(257\) | −0.495411 | − | 2.80962i | −0.0309029 | − | 0.175259i | 0.965450 | − | 0.260589i | \(-0.0839167\pi\) |
−0.996353 | + | 0.0853298i | \(0.972806\pi\) | |||||||
\(258\) | 0.749718 | − | 1.29855i | 0.0466754 | − | 0.0808441i | ||||
\(259\) | −5.07589 | − | 8.79169i | −0.315400 | − | 0.546289i | ||||
\(260\) | 12.8871 | − | 10.8136i | 0.799224 | − | 0.670629i | ||||
\(261\) | 4.74592 | − | 1.72737i | 0.293765 | − | 0.106922i | ||||
\(262\) | −2.09590 | − | 0.762846i | −0.129485 | − | 0.0471288i | ||||
\(263\) | −8.27900 | − | 6.94691i | −0.510505 | − | 0.428365i | 0.350802 | − | 0.936450i | \(-0.385909\pi\) |
−0.861307 | + | 0.508085i | \(0.830354\pi\) | |||||||
\(264\) | −0.0319304 | + | 0.181086i | −0.00196518 | + | 0.0111451i | ||||
\(265\) | 14.5544 | 0.894070 | ||||||||
\(266\) | −18.1318 | − | 7.49647i | −1.11173 | − | 0.459638i | ||||
\(267\) | −11.5375 | −0.706086 | ||||||||
\(268\) | 4.53560 | − | 25.7226i | 0.277056 | − | 1.57126i | ||||
\(269\) | 2.12780 | + | 1.78544i | 0.129734 | + | 0.108860i | 0.705346 | − | 0.708863i | \(-0.250792\pi\) |
−0.575612 | + | 0.817723i | \(0.695236\pi\) | |||||||
\(270\) | −10.6666 | − | 3.88233i | −0.649150 | − | 0.236271i | ||||
\(271\) | −13.9661 | + | 5.08325i | −0.848381 | + | 0.308785i | −0.729380 | − | 0.684109i | \(-0.760191\pi\) |
−0.119001 | + | 0.992894i | \(0.537969\pi\) | |||||||
\(272\) | 2.39264 | − | 2.00767i | 0.145075 | − | 0.121733i | ||||
\(273\) | 6.00705 | + | 10.4045i | 0.363563 | + | 0.629709i | ||||
\(274\) | −11.6103 | + | 20.1095i | −0.701401 | + | 1.21486i | ||||
\(275\) | 0.0147281 | + | 0.0835270i | 0.000888135 | + | 0.00503687i | ||||
\(276\) | −0.163668 | − | 0.928205i | −0.00985163 | − | 0.0558714i | ||||
\(277\) | −9.04379 | + | 15.6643i | −0.543389 | + | 0.941177i | 0.455318 | + | 0.890329i | \(0.349526\pi\) |
−0.998706 | + | 0.0508480i | \(0.983808\pi\) | |||||||
\(278\) | 11.8745 | + | 20.5673i | 0.712188 | + | 1.23355i | ||||
\(279\) | −11.9021 | + | 9.98705i | −0.712560 | + | 0.597909i | ||||
\(280\) | −3.97839 | + | 1.44802i | −0.237754 | + | 0.0865356i | ||||
\(281\) | 3.65001 | + | 1.32850i | 0.217741 | + | 0.0792514i | 0.448588 | − | 0.893739i | \(-0.351927\pi\) |
−0.230846 | + | 0.972990i | \(0.574149\pi\) | |||||||
\(282\) | −12.1884 | − | 10.2273i | −0.725807 | − | 0.609024i | ||||
\(283\) | −3.86993 | + | 21.9474i | −0.230043 | + | 1.30464i | 0.622762 | + | 0.782411i | \(0.286010\pi\) |
−0.852805 | + | 0.522229i | \(0.825101\pi\) | |||||||
\(284\) | −42.1577 | −2.50160 | ||||||||
\(285\) | −2.08983 | − | 4.00808i | −0.123791 | − | 0.237418i | ||||
\(286\) | −1.07853 | −0.0637750 | ||||||||
\(287\) | 2.06783 | − | 11.7273i | 0.122060 | − | 0.692239i | ||||
\(288\) | −10.2092 | − | 8.56656i | −0.601585 | − | 0.504789i | ||||
\(289\) | 9.95648 | + | 3.62386i | 0.585675 | + | 0.213168i | ||||
\(290\) | 5.48102 | − | 1.99493i | 0.321857 | − | 0.117146i | ||||
\(291\) | −0.179455 | + | 0.150580i | −0.0105198 | + | 0.00882718i | ||||
\(292\) | −15.9596 | − | 27.6429i | −0.933968 | − | 1.61768i | ||||
\(293\) | 12.2257 | − | 21.1755i | 0.714232 | − | 1.23709i | −0.249023 | − | 0.968498i | \(-0.580109\pi\) |
0.963255 | − | 0.268589i | \(-0.0865572\pi\) | |||||||
\(294\) | 1.16037 | + | 6.58076i | 0.0676739 | + | 0.383798i | ||||
\(295\) | 1.29773 | + | 7.35981i | 0.0755570 | + | 0.428505i | ||||
\(296\) | −5.24022 | + | 9.07633i | −0.304582 | + | 0.527551i | ||||
\(297\) | 0.216570 | + | 0.375110i | 0.0125667 | + | 0.0217661i | ||||
\(298\) | 8.58955 | − | 7.20749i | 0.497580 | − | 0.417519i | ||||
\(299\) | 1.66164 | − | 0.604788i | 0.0960951 | − | 0.0349758i | ||||
\(300\) | −2.86548 | − | 1.04295i | −0.165438 | − | 0.0602146i | ||||
\(301\) | −1.00915 | − | 0.846777i | −0.0581664 | − | 0.0488074i | ||||
\(302\) | −8.03265 | + | 45.5554i | −0.462227 | + | 2.62142i | ||||
\(303\) | −13.0676 | −0.750717 | ||||||||
\(304\) | −0.705699 | − | 5.33320i | −0.0404746 | − | 0.305880i | ||||
\(305\) | 13.3170 | 0.762529 | ||||||||
\(306\) | −1.87996 | + | 10.6618i | −0.107470 | + | 0.609495i | ||||
\(307\) | 4.92198 | + | 4.13004i | 0.280913 | + | 0.235714i | 0.772347 | − | 0.635201i | \(-0.219083\pi\) |
−0.491434 | + | 0.870915i | \(0.663527\pi\) | |||||||
\(308\) | 0.474608 | + | 0.172743i | 0.0270433 | + | 0.00984295i | ||||
\(309\) | −17.2704 | + | 6.28593i | −0.982481 | + | 0.357594i | ||||
\(310\) | −13.7457 | + | 11.5340i | −0.780701 | + | 0.655086i | ||||
\(311\) | 8.78200 | + | 15.2109i | 0.497982 | + | 0.862529i | 0.999997 | − | 0.00232912i | \(-0.000741383\pi\) |
−0.502016 | + | 0.864858i | \(0.667408\pi\) | |||||||
\(312\) | 6.20153 | − | 10.7414i | 0.351093 | − | 0.608110i | ||||
\(313\) | −0.632703 | − | 3.58824i | −0.0357625 | − | 0.202819i | 0.961691 | − | 0.274135i | \(-0.0883914\pi\) |
−0.997454 | + | 0.0713155i | \(0.977280\pi\) | |||||||
\(314\) | −9.11511 | − | 51.6944i | −0.514395 | − | 2.91728i | ||||
\(315\) | −1.94876 | + | 3.37535i | −0.109800 | + | 0.190180i | ||||
\(316\) | −0.170403 | − | 0.295146i | −0.00958591 | − | 0.0166033i | ||||
\(317\) | 3.44644 | − | 2.89191i | 0.193571 | − | 0.162426i | −0.540851 | − | 0.841118i | \(-0.681898\pi\) |
0.734422 | + | 0.678693i | \(0.237453\pi\) | |||||||
\(318\) | 31.5245 | − | 11.4740i | 1.76781 | − | 0.643429i | ||||
\(319\) | −0.209145 | − | 0.0761227i | −0.0117099 | − | 0.00426205i | ||||
\(320\) | −9.89969 | − | 8.30682i | −0.553409 | − | 0.464365i | ||||
\(321\) | 0.917676 | − | 5.20440i | 0.0512197 | − | 0.290481i | ||||
\(322\) | −1.39127 | −0.0775325 | ||||||||
\(323\) | −8.74717 | + | 6.72109i | −0.486706 | + | 0.373972i | ||||
\(324\) | 1.40582 | 0.0781013 | ||||||||
\(325\) | 0.993436 | − | 5.63406i | 0.0551059 | − | 0.312521i | ||||
\(326\) | 0.363586 | + | 0.305085i | 0.0201371 | + | 0.0168971i | ||||
\(327\) | 5.97845 | + | 2.17598i | 0.330609 | + | 0.120332i | ||||
\(328\) | −11.5523 | + | 4.20470i | −0.637870 | + | 0.232166i | ||||
\(329\) | −10.7083 | + | 8.98531i | −0.590366 | + | 0.495376i | ||||
\(330\) | 0.0977492 | + | 0.169307i | 0.00538092 | + | 0.00932002i | ||||
\(331\) | −17.0501 | + | 29.5317i | −0.937161 | + | 1.62321i | −0.166426 | + | 0.986054i | \(0.553223\pi\) |
−0.770735 | + | 0.637156i | \(0.780111\pi\) | |||||||
\(332\) | −1.51938 | − | 8.61681i | −0.0833866 | − | 0.472909i | ||||
\(333\) | 1.67539 | + | 9.50163i | 0.0918110 | + | 0.520686i | ||||
\(334\) | 21.9216 | − | 37.9694i | 1.19950 | − | 2.07759i | ||||
\(335\) | −4.44122 | − | 7.69242i | −0.242650 | − | 0.420282i | ||||
\(336\) | 1.98544 | − | 1.66598i | 0.108314 | − | 0.0908866i | ||||
\(337\) | 0.910498 | − | 0.331394i | 0.0495980 | − | 0.0180522i | −0.317102 | − | 0.948391i | \(-0.602710\pi\) |
0.366700 | + | 0.930339i | \(0.380488\pi\) | |||||||
\(338\) | 41.2088 | + | 14.9988i | 2.24146 | + | 0.815827i | ||||
\(339\) | 9.08113 | + | 7.61998i | 0.493220 | + | 0.413860i | ||||
\(340\) | −1.29225 | + | 7.32870i | −0.0700819 | + | 0.397454i | ||||
\(341\) | 0.684697 | 0.0370784 | ||||||||
\(342\) | 13.7564 | + | 12.5888i | 0.743861 | + | 0.680723i | ||||
\(343\) | 20.0464 | 1.08240 | ||||||||
\(344\) | −0.236162 | + | 1.33934i | −0.0127330 | + | 0.0722124i | ||||
\(345\) | −0.245536 | − | 0.206029i | −0.0132192 | − | 0.0110922i | ||||
\(346\) | 26.2651 | + | 9.55971i | 1.41202 | + | 0.513933i | ||||
\(347\) | 22.0888 | − | 8.03967i | 1.18579 | − | 0.431592i | 0.327546 | − | 0.944835i | \(-0.393778\pi\) |
0.858243 | + | 0.513243i | \(0.171556\pi\) | |||||||
\(348\) | 6.12988 | − | 5.14358i | 0.328596 | − | 0.275725i | ||||
\(349\) | −9.71877 | − | 16.8334i | −0.520234 | − | 0.901071i | −0.999723 | − | 0.0235237i | \(-0.992511\pi\) |
0.479490 | − | 0.877548i | \(-0.340822\pi\) | |||||||
\(350\) | −2.25061 | + | 3.89817i | −0.120300 | + | 0.208366i | ||||
\(351\) | −5.07332 | − | 28.7723i | −0.270794 | − | 1.53575i | ||||
\(352\) | 0.101985 | + | 0.578388i | 0.00543584 | + | 0.0308282i | ||||
\(353\) | 5.98232 | − | 10.3617i | 0.318407 | − | 0.551497i | −0.661749 | − | 0.749726i | \(-0.730185\pi\) |
0.980156 | + | 0.198229i | \(0.0635188\pi\) | |||||||
\(354\) | 8.61297 | + | 14.9181i | 0.457774 | + | 0.792888i | ||||
\(355\) | −10.9825 | + | 9.21537i | −0.582888 | + | 0.489101i | ||||
\(356\) | 30.7434 | − | 11.1897i | 1.62939 | − | 0.593051i | ||||
\(357\) | −4.99403 | − | 1.81768i | −0.264312 | − | 0.0962017i | ||||
\(358\) | 18.4205 | + | 15.4566i | 0.973552 | + | 0.816907i | ||||
\(359\) | 2.98502 | − | 16.9289i | 0.157543 | − | 0.893473i | −0.798880 | − | 0.601490i | \(-0.794574\pi\) |
0.956424 | − | 0.291983i | \(-0.0943150\pi\) | |||||||
\(360\) | 4.02371 | 0.212068 | ||||||||
\(361\) | 1.68086 | + | 18.9255i | 0.0884664 | + | 0.996079i | ||||
\(362\) | 12.0293 | 0.632244 | ||||||||
\(363\) | −1.97951 | + | 11.2264i | −0.103897 | + | 0.589232i | ||||
\(364\) | −26.0974 | − | 21.8983i | −1.36788 | − | 1.14778i | ||||
\(365\) | −10.2002 | − | 3.71256i | −0.533901 | − | 0.194324i | ||||
\(366\) | 28.8443 | − | 10.4985i | 1.50772 | − | 0.548764i | ||||
\(367\) | −13.5002 | + | 11.3280i | −0.704703 | + | 0.591316i | −0.923107 | − | 0.384542i | \(-0.874359\pi\) |
0.218404 | + | 0.975858i | \(0.429915\pi\) | |||||||
\(368\) | −0.190736 | − | 0.330364i | −0.00994279 | − | 0.0172214i | ||||
\(369\) | −5.65875 | + | 9.80124i | −0.294583 | + | 0.510232i | ||||
\(370\) | 1.93490 | + | 10.9734i | 0.100591 | + | 0.570478i | ||||
\(371\) | −5.11808 | − | 29.0261i | −0.265717 | − | 1.50696i | ||||
\(372\) | −12.3085 | + | 21.3189i | −0.638164 | + | 1.10533i | ||||
\(373\) | 1.32738 | + | 2.29909i | 0.0687292 | + | 0.119042i | 0.898342 | − | 0.439296i | \(-0.144772\pi\) |
−0.829613 | + | 0.558339i | \(0.811439\pi\) | |||||||
\(374\) | 0.365478 | − | 0.306673i | 0.0188984 | − | 0.0158577i | ||||
\(375\) | −0.974463 | + | 0.354675i | −0.0503210 | + | 0.0183154i | ||||
\(376\) | 13.5609 | + | 4.93577i | 0.699352 | + | 0.254543i | ||||
\(377\) | 11.5003 | + | 9.64994i | 0.592298 | + | 0.496997i | ||||
\(378\) | −3.99166 | + | 22.6378i | −0.205309 | + | 1.16436i | ||||
\(379\) | −18.9795 | −0.974909 | −0.487455 | − | 0.873148i | \(-0.662075\pi\) | ||||
−0.487455 | + | 0.873148i | \(0.662075\pi\) | |||||||
\(380\) | 9.45586 | + | 8.65326i | 0.485075 | + | 0.443903i | ||||
\(381\) | −1.49305 | −0.0764914 | ||||||||
\(382\) | −1.88025 | + | 10.6634i | −0.0962021 | + | 0.545589i | ||||
\(383\) | −9.13777 | − | 7.66750i | −0.466918 | − | 0.391791i | 0.378751 | − | 0.925499i | \(-0.376354\pi\) |
−0.845669 | + | 0.533708i | \(0.820798\pi\) | |||||||
\(384\) | −14.4957 | − | 5.27601i | −0.739732 | − | 0.269240i | ||||
\(385\) | 0.161400 | − | 0.0587447i | 0.00822570 | − | 0.00299391i | ||||
\(386\) | 2.35679 | − | 1.97758i | 0.119958 | − | 0.100656i | ||||
\(387\) | 0.626003 | + | 1.08427i | 0.0318215 | + | 0.0551165i | ||||
\(388\) | 0.332142 | − | 0.575286i | 0.0168619 | − | 0.0292057i | ||||
\(389\) | −1.69579 | − | 9.61728i | −0.0859798 | − | 0.487616i | −0.997141 | − | 0.0755652i | \(-0.975924\pi\) |
0.911161 | − | 0.412050i | \(-0.135187\pi\) | |||||||
\(390\) | −2.28985 | − | 12.9864i | −0.115951 | − | 0.657592i | ||||
\(391\) | −0.391107 | + | 0.677417i | −0.0197791 | + | 0.0342584i | ||||
\(392\) | −3.03045 | − | 5.24889i | −0.153061 | − | 0.265109i | ||||
\(393\) | −0.797131 | + | 0.668872i | −0.0402099 | + | 0.0337401i | ||||
\(394\) | 13.3833 | − | 4.87112i | 0.674240 | − | 0.245403i | ||||
\(395\) | −0.108908 | − | 0.0396394i | −0.00547977 | − | 0.00199447i | ||||
\(396\) | −0.367712 | − | 0.308547i | −0.0184782 | − | 0.0155051i | ||||
\(397\) | 5.00846 | − | 28.4044i | 0.251368 | − | 1.42558i | −0.553860 | − | 0.832610i | \(-0.686846\pi\) |
0.805227 | − | 0.592966i | \(-0.202043\pi\) | |||||||
\(398\) | −34.7648 | −1.74260 | ||||||||
\(399\) | −7.25847 | + | 5.57721i | −0.363378 | + | 0.279210i | ||||
\(400\) | −1.23419 | −0.0617093 | ||||||||
\(401\) | 1.08900 | − | 6.17602i | 0.0543820 | − | 0.308416i | −0.945468 | − | 0.325714i | \(-0.894395\pi\) |
0.999850 | + | 0.0172981i | \(0.00550645\pi\) | |||||||
\(402\) | −15.6839 | − | 13.1604i | −0.782242 | − | 0.656379i | ||||
\(403\) | −43.3989 | − | 15.7959i | −2.16185 | − | 0.786849i | ||||
\(404\) | 34.8205 | − | 12.6736i | 1.73239 | − | 0.630537i | ||||
\(405\) | 0.366229 | − | 0.307303i | 0.0181981 | − | 0.0152700i | ||||
\(406\) | −5.90592 | − | 10.2294i | −0.293106 | − | 0.507675i | ||||
\(407\) | 0.212591 | − | 0.368219i | 0.0105378 | − | 0.0182519i | ||||
\(408\) | 0.952737 | + | 5.40324i | 0.0471675 | + | 0.267500i | ||||
\(409\) | 1.94902 | + | 11.0534i | 0.0963726 | + | 0.546556i | 0.994318 | + | 0.106450i | \(0.0339483\pi\) |
−0.897946 | + | 0.440107i | \(0.854941\pi\) | |||||||
\(410\) | −6.53525 | + | 11.3194i | −0.322753 | + | 0.559024i | ||||
\(411\) | 5.41667 | + | 9.38195i | 0.267185 | + | 0.462777i | ||||
\(412\) | 39.9231 | − | 33.4994i | 1.96687 | − | 1.65040i | ||||
\(413\) | 14.2214 | − | 5.17617i | 0.699790 | − | 0.254703i | ||||
\(414\) | 1.24252 | + | 0.452240i | 0.0610664 | + | 0.0222264i | ||||
\(415\) | −2.27938 | − | 1.91263i | −0.111891 | − | 0.0938873i | ||||
\(416\) | 6.87911 | − | 39.0134i | 0.337276 | − | 1.91279i | ||||
\(417\) | 11.0800 | 0.542588 | ||||||||
\(418\) | −0.107796 | − | 0.814651i | −0.00527248 | − | 0.0398459i | ||||
\(419\) | −26.0754 | −1.27387 | −0.636934 | − | 0.770918i | \(-0.719798\pi\) | ||||
−0.636934 | + | 0.770918i | \(0.719798\pi\) | |||||||
\(420\) | −1.07232 | + | 6.08141i | −0.0523237 | + | 0.296742i | ||||
\(421\) | −19.3507 | − | 16.2372i | −0.943096 | − | 0.791351i | 0.0350258 | − | 0.999386i | \(-0.488849\pi\) |
−0.978121 | + | 0.208035i | \(0.933293\pi\) | |||||||
\(422\) | 16.0492 | + | 5.84142i | 0.781262 | + | 0.284356i | ||||
\(423\) | 12.4841 | − | 4.54383i | 0.606996 | − | 0.220929i | ||||
\(424\) | −23.3093 | + | 19.5588i | −1.13200 | + | 0.949859i | ||||
\(425\) | 1.26536 | + | 2.19167i | 0.0613789 | + | 0.106311i | ||||
\(426\) | −16.5228 | + | 28.6183i | −0.800532 | + | 1.38656i | ||||
\(427\) | −4.68294 | − | 26.5583i | −0.226623 | − | 1.28525i | ||||
\(428\) | 2.60221 | + | 14.7578i | 0.125782 | + | 0.713347i | ||||
\(429\) | −0.251591 | + | 0.435768i | −0.0121469 | + | 0.0210391i | ||||
\(430\) | 0.722967 | + | 1.25222i | 0.0348646 | + | 0.0603872i | ||||
\(431\) | 29.2544 | − | 24.5474i | 1.40914 | − | 1.18241i | 0.452269 | − | 0.891881i | \(-0.350615\pi\) |
0.956867 | − | 0.290525i | \(-0.0938299\pi\) | |||||||
\(432\) | −5.92269 | + | 2.15568i | −0.284956 | + | 0.103715i | ||||
\(433\) | −2.46296 | − | 0.896443i | −0.118362 | − | 0.0430803i | 0.282160 | − | 0.959367i | \(-0.408949\pi\) |
−0.400522 | + | 0.916287i | \(0.631171\pi\) | |||||||
\(434\) | 27.8360 | + | 23.3572i | 1.33617 | + | 1.12118i | ||||
\(435\) | 0.472538 | − | 2.67990i | 0.0226565 | − | 0.128491i | ||||
\(436\) | −18.0408 | −0.863997 | ||||||||
\(437\) | 0.622891 | + | 1.19464i | 0.0297969 | + | 0.0571476i | ||||
\(438\) | −25.0201 | −1.19551 | ||||||||
\(439\) | 1.16634 | − | 6.61462i | 0.0556662 | − | 0.315699i | −0.944242 | − | 0.329252i | \(-0.893203\pi\) |
0.999908 | + | 0.0135537i | \(0.00431442\pi\) | |||||||
\(440\) | −0.135834 | − | 0.113978i | −0.00647564 | − | 0.00543371i | ||||
\(441\) | −5.24311 | − | 1.90834i | −0.249672 | − | 0.0908732i | ||||
\(442\) | −30.2404 | + | 11.0066i | −1.43839 | + | 0.523531i | ||||
\(443\) | −19.9218 | + | 16.7163i | −0.946511 | + | 0.794217i | −0.978707 | − | 0.205264i | \(-0.934195\pi\) |
0.0321953 | + | 0.999482i | \(0.489750\pi\) | |||||||
\(444\) | 7.64330 | + | 13.2386i | 0.362735 | + | 0.628275i | ||||
\(445\) | 5.56293 | − | 9.63528i | 0.263708 | − | 0.456756i | ||||
\(446\) | −0.957200 | − | 5.42855i | −0.0453247 | − | 0.257049i | ||||
\(447\) | −0.908401 | − | 5.15180i | −0.0429659 | − | 0.243672i | ||||
\(448\) | −13.0852 | + | 22.6642i | −0.618216 | + | 1.07078i | ||||
\(449\) | 13.7860 | + | 23.8781i | 0.650602 | + | 1.12688i | 0.982977 | + | 0.183728i | \(0.0588165\pi\) |
−0.332376 | + | 0.943147i | \(0.607850\pi\) | |||||||
\(450\) | 3.27710 | − | 2.74981i | 0.154484 | − | 0.129627i | ||||
\(451\) | 0.468667 | − | 0.170581i | 0.0220687 | − | 0.00803234i | ||||
\(452\) | −31.5882 | − | 11.4971i | −1.48578 | − | 0.540780i | ||||
\(453\) | 16.5323 | + | 13.8723i | 0.776756 | + | 0.651775i | ||||
\(454\) | 0.175060 | − | 0.992816i | 0.00821598 | − | 0.0465951i | ||||
\(455\) | −11.5854 | −0.543133 | ||||||||
\(456\) | 8.73312 | + | 3.61065i | 0.408966 | + | 0.169084i | ||||
\(457\) | 2.22524 | 0.104092 | 0.0520462 | − | 0.998645i | \(-0.483426\pi\) | ||||
0.0520462 | + | 0.998645i | \(0.483426\pi\) | |||||||
\(458\) | −0.383382 | + | 2.17427i | −0.0179143 | + | 0.101597i | ||||
\(459\) | 9.90035 | + | 8.30738i | 0.462109 | + | 0.387755i | ||||
\(460\) | 0.854081 | + | 0.310860i | 0.0398217 | + | 0.0144939i | ||||
\(461\) | −19.2217 | + | 6.99612i | −0.895243 | + | 0.325842i | −0.748345 | − | 0.663310i | \(-0.769151\pi\) |
−0.146898 | + | 0.989152i | \(0.546929\pi\) | |||||||
\(462\) | 0.303277 | − | 0.254479i | 0.0141097 | − | 0.0118395i | ||||
\(463\) | 16.2150 | + | 28.0852i | 0.753575 | + | 1.30523i | 0.946080 | + | 0.323934i | \(0.105006\pi\) |
−0.192505 | + | 0.981296i | \(0.561661\pi\) | |||||||
\(464\) | 1.61934 | − | 2.80478i | 0.0751760 | − | 0.130209i | ||||
\(465\) | 1.45369 | + | 8.24430i | 0.0674134 | + | 0.382320i | ||||
\(466\) | 1.64549 | + | 9.33205i | 0.0762259 | + | 0.432299i | ||||
\(467\) | 3.46049 | − | 5.99375i | 0.160132 | − | 0.277357i | −0.774784 | − | 0.632227i | \(-0.782141\pi\) |
0.934916 | + | 0.354869i | \(0.115475\pi\) | |||||||
\(468\) | 16.1889 | + | 28.0400i | 0.748333 | + | 1.29615i | ||||
\(469\) | −13.7793 | + | 11.5622i | −0.636271 | + | 0.533895i | ||||
\(470\) | 14.4178 | − | 5.24764i | 0.665042 | − | 0.242056i | ||||
\(471\) | −23.0127 | − | 8.37595i | −1.06037 | − | 0.385943i | ||||
\(472\) | −11.9688 | − | 10.0430i | −0.550907 | − | 0.462266i | ||||
\(473\) | 0.00958088 | − | 0.0543359i | 0.000440529 | − | 0.00249837i | ||||
\(474\) | −0.267143 | −0.0122703 | ||||||||
\(475\) | 4.35487 | + | 0.187267i | 0.199815 | + | 0.00859242i | ||||
\(476\) | 15.0701 | 0.690739 | ||||||||
\(477\) | −4.86420 | + | 27.5863i | −0.222717 | + | 1.26309i | ||||
\(478\) | −41.6455 | − | 34.9448i | −1.90482 | − | 1.59834i | ||||
\(479\) | 18.8350 | + | 6.85539i | 0.860594 | + | 0.313231i | 0.734352 | − | 0.678769i | \(-0.237486\pi\) |
0.126242 | + | 0.991999i | \(0.459708\pi\) | |||||||
\(480\) | −6.74772 | + | 2.45597i | −0.307990 | + | 0.112099i | ||||
\(481\) | −21.9697 | + | 18.4347i | −1.00173 | + | 0.840552i | ||||
\(482\) | 4.88430 | + | 8.45985i | 0.222474 | + | 0.385336i | ||||
\(483\) | −0.324543 | + | 0.562126i | −0.0147672 | + | 0.0255776i | ||||
\(484\) | −5.61320 | − | 31.8340i | −0.255145 | − | 1.44700i | ||||
\(485\) | −0.0392276 | − | 0.222471i | −0.00178123 | − | 0.0101019i | ||||
\(486\) | 17.5778 | − | 30.4456i | 0.797344 | − | 1.38104i | ||||
\(487\) | −3.56464 | − | 6.17413i | −0.161529 | − | 0.279777i | 0.773888 | − | 0.633322i | \(-0.218309\pi\) |
−0.935417 | + | 0.353546i | \(0.884976\pi\) | |||||||
\(488\) | −21.3275 | + | 17.8959i | −0.965452 | + | 0.810110i | ||||
\(489\) | 0.208080 | − | 0.0757348i | 0.00940968 | − | 0.00342484i | ||||
\(490\) | −6.05523 | − | 2.20392i | −0.273548 | − | 0.0995632i | ||||
\(491\) | 12.6437 | + | 10.6093i | 0.570600 | + | 0.478790i | 0.881845 | − | 0.471539i | \(-0.156302\pi\) |
−0.311245 | + | 0.950330i | \(0.600746\pi\) | |||||||
\(492\) | −3.11376 | + | 17.6590i | −0.140379 | + | 0.796129i | ||||
\(493\) | −6.64096 | −0.299094 | ||||||||
\(494\) | −11.9614 | + | 54.1227i | −0.538167 | + | 2.43510i | ||||
\(495\) | −0.163238 | −0.00733702 | ||||||||
\(496\) | −1.73011 | + | 9.81194i | −0.0776842 | + | 0.440569i | ||||
\(497\) | 22.2403 | + | 18.6619i | 0.997615 | + | 0.837099i | ||||
\(498\) | −6.44491 | − | 2.34576i | −0.288804 | − | 0.105116i | ||||
\(499\) | 28.5296 | − | 10.3839i | 1.27716 | − | 0.464848i | 0.387667 | − | 0.921800i | \(-0.373281\pi\) |
0.889491 | + | 0.456952i | \(0.151059\pi\) | |||||||
\(500\) | 2.25261 | − | 1.89016i | 0.100740 | − | 0.0845306i | ||||
\(501\) | −10.2274 | − | 17.7143i | −0.456925 | − | 0.791417i | ||||
\(502\) | −0.430620 | + | 0.745856i | −0.0192195 | + | 0.0332892i | ||||
\(503\) | −1.00185 | − | 5.68175i | −0.0446701 | − | 0.253337i | 0.954293 | − | 0.298874i | \(-0.0966111\pi\) |
−0.998963 | + | 0.0455375i | \(0.985500\pi\) | |||||||
\(504\) | −1.41494 | − | 8.02454i | −0.0630266 | − | 0.357441i | ||||
\(505\) | 6.30069 | − | 10.9131i | 0.280377 | − | 0.485627i | ||||
\(506\) | −0.0291350 | − | 0.0504633i | −0.00129521 | − | 0.00224337i | ||||
\(507\) | 15.6729 | − | 13.1511i | 0.696058 | − | 0.584062i | ||||
\(508\) | 3.97844 | − | 1.44803i | 0.176515 | − | 0.0642462i | ||||
\(509\) | 36.5216 | + | 13.2928i | 1.61879 | + | 0.589191i | 0.983151 | − | 0.182796i | \(-0.0585147\pi\) |
0.635638 | + | 0.771987i | \(0.280737\pi\) | |||||||
\(510\) | 4.46854 | + | 3.74955i | 0.197870 | + | 0.166033i | ||||
\(511\) | −3.81710 | + | 21.6479i | −0.168859 | + | 0.957645i | ||||
\(512\) | −13.7067 | −0.605755 | ||||||||
\(513\) | 21.2255 | − | 6.70774i | 0.937131 | − | 0.296154i | ||||
\(514\) | 6.34139 | 0.279707 | ||||||||
\(515\) | 3.07757 | − | 17.4538i | 0.135614 | − | 0.769106i | ||||
\(516\) | 1.51958 | + | 1.27508i | 0.0668960 | + | 0.0561324i | ||||
\(517\) | −0.550155 | − | 0.200240i | −0.0241958 | − | 0.00880654i | ||||
\(518\) | 21.2039 | − | 7.71760i | 0.931647 | − | 0.339092i | ||||
\(519\) | 9.98936 | − | 8.38207i | 0.438484 | − | 0.367932i | ||||
\(520\) | 5.98025 | + | 10.3581i | 0.262251 | + | 0.454233i | ||||
\(521\) | 18.2553 | − | 31.6191i | 0.799778 | − | 1.38526i | −0.119983 | − | 0.992776i | \(-0.538284\pi\) |
0.919761 | − | 0.392480i | \(-0.128383\pi\) | |||||||
\(522\) | 1.94936 | + | 11.0554i | 0.0853214 | + | 0.483881i | ||||
\(523\) | 4.82917 | + | 27.3876i | 0.211165 | + | 1.19758i | 0.887439 | + | 0.460925i | \(0.152482\pi\) |
−0.676274 | + | 0.736650i | \(0.736407\pi\) | |||||||
\(524\) | 1.47536 | − | 2.55540i | 0.0644514 | − | 0.111633i | ||||
\(525\) | 1.05000 | + | 1.81866i | 0.0458260 | + | 0.0793729i | ||||
\(526\) | 18.4021 | − | 15.4412i | 0.802368 | − | 0.673267i | ||||
\(527\) | 19.1978 | − | 6.98744i | 0.836271 | − | 0.304378i | ||||
\(528\) | 0.102005 | + | 0.0371267i | 0.00443919 | + | 0.00161573i | ||||
\(529\) | −17.5458 | − | 14.7227i | −0.762863 | − | 0.640118i | ||||
\(530\) | −5.61763 | + | 31.8592i | −0.244014 | + | 1.38387i | ||||
\(531\) | −14.3834 | −0.624187 | ||||||||
\(532\) | 13.9321 | − | 21.9009i | 0.604035 | − | 0.949523i | ||||
\(533\) | −33.6413 | −1.45717 | ||||||||
\(534\) | 4.45320 | − | 25.2553i | 0.192709 | − | 1.09291i | ||||
\(535\) | 3.90386 | + | 3.27572i | 0.168778 | + | 0.141622i | ||||
\(536\) | 17.4501 | + | 6.35132i | 0.753730 | + | 0.274335i | ||||
\(537\) | 10.5420 | − | 3.83698i | 0.454921 | − | 0.165578i | ||||
\(538\) | −4.72954 | + | 3.96856i | −0.203905 | + | 0.171097i | ||||
\(539\) | 0.122942 | + | 0.212943i | 0.00529551 | + | 0.00917209i | ||||
\(540\) | 7.50852 | − | 13.0051i | 0.323115 | − | 0.559652i | ||||
\(541\) | −4.21069 | − | 23.8800i | −0.181032 | − | 1.02668i | −0.930949 | − | 0.365150i | \(-0.881018\pi\) |
0.749917 | − | 0.661532i | \(-0.230094\pi\) | |||||||
\(542\) | −5.73652 | − | 32.5334i | −0.246405 | − | 1.39743i | ||||
\(543\) | 2.80608 | − | 4.86027i | 0.120420 | − | 0.208574i | ||||
\(544\) | 8.76205 | + | 15.1763i | 0.375670 | + | 0.650679i | ||||
\(545\) | −4.69978 | + | 3.94359i | −0.201317 | + | 0.168925i | ||||
\(546\) | −25.0937 | + | 9.13337i | −1.07391 | + | 0.390872i | ||||
\(547\) | 0.556008 | + | 0.202370i | 0.0237732 | + | 0.00865274i | 0.353879 | − | 0.935291i | \(-0.384862\pi\) |
−0.330106 | + | 0.943944i | \(0.607085\pi\) | |||||||
\(548\) | −23.5325 | − | 19.7461i | −1.00526 | − | 0.843513i | ||||
\(549\) | −4.45065 | + | 25.2409i | −0.189949 | + | 1.07726i | ||||
\(550\) | −0.188523 | −0.00803864 | ||||||||
\(551\) | −6.13948 | + | 9.65107i | −0.261551 | + | 0.411149i | ||||
\(552\) | 0.670102 | 0.0285214 | ||||||||
\(553\) | −0.0407556 | + | 0.231137i | −0.00173311 | + | 0.00982893i | ||||
\(554\) | −30.7980 | − | 25.8426i | −1.30848 | − | 1.09795i | ||||
\(555\) | 4.88501 | + | 1.77800i | 0.207357 | + | 0.0754717i | ||||
\(556\) | −29.5241 | + | 10.7459i | −1.25210 | + | 0.455727i | ||||
\(557\) | −18.9312 | + | 15.8852i | −0.802142 | + | 0.673077i | −0.948719 | − | 0.316122i | \(-0.897619\pi\) |
0.146576 | + | 0.989199i | \(0.453175\pi\) | |||||||
\(558\) | −17.2675 | − | 29.9081i | −0.730990 | − | 1.26611i | ||||
\(559\) | −1.86080 | + | 3.22300i | −0.0787034 | + | 0.136318i | ||||
\(560\) | 0.434003 | + | 2.46135i | 0.0183400 | + | 0.104011i | ||||
\(561\) | −0.0386517 | − | 0.219205i | −0.00163188 | − | 0.00925483i | ||||
\(562\) | −4.31685 | + | 7.47700i | −0.182095 | + | 0.315398i | ||||
\(563\) | −5.99775 | − | 10.3884i | −0.252775 | − | 0.437819i | 0.711514 | − | 0.702672i | \(-0.248010\pi\) |
−0.964289 | + | 0.264853i | \(0.914677\pi\) | |||||||
\(564\) | 16.1246 | − | 13.5301i | 0.678968 | − | 0.569721i | ||||
\(565\) | −10.7422 | + | 3.90984i | −0.451927 | + | 0.164488i | ||||
\(566\) | −46.5486 | − | 16.9423i | −1.95658 | − | 0.712138i | ||||
\(567\) | −0.741643 | − | 0.622313i | −0.0311461 | − | 0.0261347i | ||||
\(568\) | 5.20470 | − | 29.5173i | 0.218384 | − | 1.23852i | ||||
\(569\) | 33.9446 | 1.42303 | 0.711517 | − | 0.702669i | \(-0.248009\pi\) | ||||
0.711517 | + | 0.702669i | \(0.248009\pi\) | |||||||
\(570\) | 9.58019 | − | 3.02755i | 0.401270 | − | 0.126810i | ||||
\(571\) | −3.81177 | −0.159518 | −0.0797588 | − | 0.996814i | \(-0.525415\pi\) | ||||
−0.0797588 | + | 0.996814i | \(0.525415\pi\) | |||||||
\(572\) | 0.247769 | − | 1.40517i | 0.0103597 | − | 0.0587530i | ||||
\(573\) | 3.86982 | + | 3.24717i | 0.161664 | + | 0.135652i | ||||
\(574\) | 24.8725 | + | 9.05286i | 1.03816 | + | 0.377859i | ||||
\(575\) | 0.290447 | − | 0.105714i | 0.0121125 | − | 0.00440859i | ||||
\(576\) | 19.0532 | − | 15.9875i | 0.793884 | − | 0.666148i | ||||
\(577\) | −0.827198 | − | 1.43275i | −0.0344367 | − | 0.0596461i | 0.848293 | − | 0.529527i | \(-0.177630\pi\) |
−0.882730 | + | 0.469880i | \(0.844297\pi\) | |||||||
\(578\) | −11.7755 | + | 20.3957i | −0.489795 | + | 0.848351i | ||||
\(579\) | −0.249246 | − | 1.41354i | −0.0103583 | − | 0.0587449i | ||||
\(580\) | 1.33995 | + | 7.59925i | 0.0556385 | + | 0.315541i | ||||
\(581\) | −3.01284 | + | 5.21838i | −0.124993 | + | 0.216495i | ||||
\(582\) | −0.260351 | − | 0.450941i | −0.0107919 | − | 0.0186921i | ||||
\(583\) | 0.945636 | − | 0.793483i | 0.0391642 | − | 0.0328627i | ||||
\(584\) | 21.3249 | − | 7.76164i | 0.882432 | − | 0.321179i | ||||
\(585\) | 10.3467 | + | 3.76589i | 0.427784 | + | 0.155701i | ||||
\(586\) | 41.6338 | + | 34.9349i | 1.71987 | + | 1.44315i | ||||
\(587\) | −5.10789 | + | 28.9683i | −0.210825 | + | 1.19565i | 0.677180 | + | 0.735817i | \(0.263202\pi\) |
−0.888006 | + | 0.459832i | \(0.847909\pi\) | |||||||
\(588\) | −8.84031 | −0.364568 | ||||||||
\(589\) | 7.59356 | − | 34.3593i | 0.312887 | − | 1.41575i | ||||
\(590\) | −16.6113 | −0.683877 | ||||||||
\(591\) | 1.15382 | − | 6.54364i | 0.0474618 | − | 0.269169i | ||||
\(592\) | 4.73952 | + | 3.97693i | 0.194793 | + | 0.163451i | ||||
\(593\) | −44.0015 | − | 16.0152i | −1.80693 | − | 0.657667i | −0.997517 | − | 0.0704204i | \(-0.977566\pi\) |
−0.809408 | − | 0.587247i | \(-0.800212\pi\) | |||||||
\(594\) | −0.904695 | + | 0.329282i | −0.0371201 | + | 0.0135106i | ||||
\(595\) | 3.92590 | − | 3.29422i | 0.160946 | − | 0.135050i | ||||
\(596\) | 7.41702 | + | 12.8467i | 0.303813 | + | 0.526220i | ||||
\(597\) | −8.10961 | + | 14.0463i | −0.331904 | + | 0.574875i | ||||
\(598\) | 0.682511 | + | 3.87071i | 0.0279100 | + | 0.158285i | ||||
\(599\) | 2.11359 | + | 11.9868i | 0.0863589 | + | 0.489765i | 0.997055 | + | 0.0766887i | \(0.0244348\pi\) |
−0.910696 | + | 0.413077i | \(0.864454\pi\) | |||||||
\(600\) | 1.08400 | − | 1.87754i | 0.0442541 | − | 0.0766504i | ||||
\(601\) | −5.01956 | − | 8.69414i | −0.204752 | − | 0.354641i | 0.745302 | − | 0.666728i | \(-0.232306\pi\) |
−0.950054 | + | 0.312086i | \(0.898972\pi\) | |||||||
\(602\) | 2.24308 | − | 1.88217i | 0.0914210 | − | 0.0767113i | ||||
\(603\) | 16.0644 | − | 5.84697i | 0.654194 | − | 0.238107i | ||||
\(604\) | −57.5066 | − | 20.9307i | −2.33991 | − | 0.851658i | ||||
\(605\) | −8.42098 | − | 7.06604i | −0.342361 | − | 0.287275i | ||||
\(606\) | 5.04378 | − | 28.6047i | 0.204890 | − | 1.16199i | ||||
\(607\) | 20.5318 | 0.833358 | 0.416679 | − | 0.909054i | \(-0.363194\pi\) | ||||
0.416679 | + | 0.909054i | \(0.363194\pi\) | |||||||
\(608\) | 30.1556 | + | 1.29675i | 1.22297 | + | 0.0525900i | ||||
\(609\) | −5.51072 | −0.223306 | ||||||||
\(610\) | −5.14003 | + | 29.1505i | −0.208114 | + | 1.18027i | ||||
\(611\) | 30.2515 | + | 25.3840i | 1.22385 | + | 1.02693i | ||||
\(612\) | −13.4589 | − | 4.89862i | −0.544042 | − | 0.198015i | ||||
\(613\) | 34.2734 | − | 12.4745i | 1.38429 | − | 0.503840i | 0.460813 | − | 0.887497i | \(-0.347558\pi\) |
0.923476 | + | 0.383657i | \(0.125336\pi\) | |||||||
\(614\) | −10.9403 | + | 9.17999i | −0.441514 | + | 0.370474i | ||||
\(615\) | 3.04897 | + | 5.28097i | 0.122946 | + | 0.212949i | ||||
\(616\) | −0.179542 | + | 0.310977i | −0.00723397 | + | 0.0125296i | ||||
\(617\) | 3.71725 | + | 21.0816i | 0.149651 | + | 0.848712i | 0.963514 | + | 0.267656i | \(0.0862492\pi\) |
−0.813864 | + | 0.581056i | \(0.802640\pi\) | |||||||
\(618\) | −7.09376 | − | 40.2307i | −0.285353 | − | 1.61832i | ||||
\(619\) | 7.68760 | − | 13.3153i | 0.308991 | − | 0.535187i | −0.669151 | − | 0.743126i | \(-0.733342\pi\) |
0.978142 | + | 0.207939i | \(0.0666755\pi\) | |||||||
\(620\) | −11.8693 | − | 20.5582i | −0.476682 | − | 0.825637i | ||||
\(621\) | 1.20917 | − | 1.01462i | 0.0485224 | − | 0.0407151i | ||||
\(622\) | −36.6858 | + | 13.3525i | −1.47097 | + | 0.535388i | ||||
\(623\) | −21.1720 | − | 7.70597i | −0.848238 | − | 0.308733i | ||||
\(624\) | −5.60897 | − | 4.70649i | −0.224539 | − | 0.188410i | ||||
\(625\) | 0.173648 | − | 0.984808i | 0.00694593 | − | 0.0393923i | ||||
\(626\) | 8.09876 | 0.323691 | ||||||||
\(627\) | −0.354295 | − | 0.146481i | −0.0141492 | − | 0.00584988i | ||||
\(628\) | 69.4440 | 2.77112 | ||||||||
\(629\) | 2.20300 | − | 12.4938i | 0.0878392 | − | 0.498161i | ||||
\(630\) | −6.63638 | − | 5.56858i | −0.264400 | − | 0.221858i | ||||
\(631\) | 27.9210 | + | 10.1624i | 1.11152 | + | 0.404559i | 0.831550 | − | 0.555450i | \(-0.187454\pi\) |
0.279968 | + | 0.960009i | \(0.409676\pi\) | |||||||
\(632\) | 0.227689 | − | 0.0828718i | 0.00905696 | − | 0.00329647i | ||||
\(633\) | 6.10396 | − | 5.12183i | 0.242611 | − | 0.203575i | ||||
\(634\) | 5.00006 | + | 8.66036i | 0.198578 | + | 0.343947i | ||||
\(635\) | 0.719889 | − | 1.24688i | 0.0285679 | − | 0.0494811i | ||||
\(636\) | 7.70683 | + | 43.7076i | 0.305596 | + | 1.73312i | ||||
\(637\) | −2.88003 | − | 16.3334i | −0.114111 | − | 0.647154i | ||||
\(638\) | 0.247355 | − | 0.428432i | 0.00979289 | − | 0.0169618i | ||||
\(639\) | −13.7963 | − | 23.8959i | −0.545773 | − | 0.945306i | ||||
\(640\) | 11.3954 | − | 9.56186i | 0.450442 | − | 0.377966i | ||||
\(641\) | −17.9574 | + | 6.53597i | −0.709275 | + | 0.258155i | −0.671366 | − | 0.741126i | \(-0.734292\pi\) |
−0.0379095 | + | 0.999281i | \(0.512070\pi\) | |||||||
\(642\) | 11.0381 | + | 4.01753i | 0.435638 | + | 0.158559i | ||||
\(643\) | 12.4316 | + | 10.4314i | 0.490256 | + | 0.411374i | 0.854118 | − | 0.520079i | \(-0.174098\pi\) |
−0.363862 | + | 0.931453i | \(0.618542\pi\) | |||||||
\(644\) | 0.319614 | − | 1.81262i | 0.0125945 | − | 0.0714272i | ||||
\(645\) | 0.674589 | 0.0265619 | ||||||||
\(646\) | −11.3361 | − | 21.7415i | −0.446012 | − | 0.855407i | ||||
\(647\) | 26.6353 | 1.04714 | 0.523571 | − | 0.851982i | \(-0.324600\pi\) | ||||
0.523571 | + | 0.851982i | \(0.324600\pi\) | |||||||
\(648\) | −0.173560 | + | 0.984307i | −0.00681808 | + | 0.0386672i | ||||
\(649\) | 0.485562 | + | 0.407435i | 0.0190600 | + | 0.0159932i | ||||
\(650\) | 11.9493 | + | 4.34921i | 0.468692 | + | 0.170590i | ||||
\(651\) | 15.9305 | − | 5.79823i | 0.624366 | − | 0.227251i | ||||
\(652\) | −0.481005 | + | 0.403611i | −0.0188376 | + | 0.0158066i | ||||
\(653\) | 20.4238 | + | 35.3751i | 0.799245 | + | 1.38433i | 0.920108 | + | 0.391664i | \(0.128101\pi\) |
−0.120863 | + | 0.992669i | \(0.538566\pi\) | |||||||
\(654\) | −7.07069 | + | 12.2468i | −0.276486 | + | 0.478887i | ||||
\(655\) | −0.174248 | − | 0.988207i | −0.00680841 | − | 0.0386124i | ||||
\(656\) | 1.26024 | + | 7.14719i | 0.0492042 | + | 0.279051i | ||||
\(657\) | 10.4457 | − | 18.0925i | 0.407527 | − | 0.705857i | ||||
\(658\) | −15.5355 | − | 26.9082i | −0.605635 | − | 1.04899i | ||||
\(659\) | −14.0538 | + | 11.7926i | −0.547460 | + | 0.459373i | −0.874080 | − | 0.485782i | \(-0.838535\pi\) |
0.326620 | + | 0.945156i | \(0.394090\pi\) | |||||||
\(660\) | −0.243037 | + | 0.0884582i | −0.00946019 | + | 0.00344323i | ||||
\(661\) | 22.8442 | + | 8.31460i | 0.888536 | + | 0.323400i | 0.745649 | − | 0.666339i | \(-0.232139\pi\) |
0.142886 | + | 0.989739i | \(0.454362\pi\) | |||||||
\(662\) | −58.0632 | − | 48.7208i | −2.25669 | − | 1.89359i | ||||
\(663\) | −2.60713 | + | 14.7858i | −0.101253 | + | 0.574232i | ||||
\(664\) | 6.22076 | 0.241412 | ||||||||
\(665\) | −1.15793 | − | 8.75084i | −0.0449025 | − | 0.339343i | ||||
\(666\) | −21.4455 | −0.830995 | ||||||||
\(667\) | −0.140844 | + | 0.798767i | −0.00545351 | + | 0.0309284i | ||||
\(668\) | 44.4324 | + | 37.2832i | 1.71914 | + | 1.44253i | ||||
\(669\) | −2.41662 | − | 0.879579i | −0.0934321 | − | 0.0340065i | ||||
\(670\) | 18.5527 | − | 6.75263i | 0.716753 | − | 0.260877i | ||||
\(671\) | 0.865238 | − | 0.726021i | 0.0334022 | − | 0.0280277i | ||||
\(672\) | 7.27082 | + | 12.5934i | 0.280478 | + | 0.485802i | ||||
\(673\) | 15.7847 | − | 27.3400i | 0.608457 | − | 1.05388i | −0.383038 | − | 0.923733i | \(-0.625122\pi\) |
0.991495 | − | 0.130146i | \(-0.0415446\pi\) | |||||||
\(674\) | 0.373983 | + | 2.12096i | 0.0144053 | + | 0.0816965i | ||||
\(675\) | −0.886795 | − | 5.02926i | −0.0341327 | − | 0.193576i | ||||
\(676\) | −29.0080 | + | 50.2433i | −1.11569 | + | 1.93243i | ||||
\(677\) | 6.21268 | + | 10.7607i | 0.238773 | + | 0.413566i | 0.960362 | − | 0.278755i | \(-0.0899216\pi\) |
−0.721590 | + | 0.692321i | \(0.756588\pi\) | |||||||
\(678\) | −20.1850 | + | 16.9372i | −0.775200 | + | 0.650470i | ||||
\(679\) | −0.429882 | + | 0.156464i | −0.0164974 | + | 0.00600455i | ||||
\(680\) | −4.97175 | − | 1.80957i | −0.190658 | − | 0.0693938i | ||||
\(681\) | −0.360298 | − | 0.302326i | −0.0138066 | − | 0.0115852i | ||||
\(682\) | −0.264276 | + | 1.49878i | −0.0101196 | + | 0.0573913i | ||||
\(683\) | 9.71494 | 0.371732 | 0.185866 | − | 0.982575i | \(-0.440491\pi\) | ||||
0.185866 | + | 0.982575i | \(0.440491\pi\) | |||||||
\(684\) | −19.5615 | + | 15.0305i | −0.747953 | + | 0.574707i | ||||
\(685\) | −10.4468 | −0.399152 | ||||||||
\(686\) | −7.73739 | + | 43.8809i | −0.295415 | + | 1.67538i | ||||
\(687\) | 0.789053 | + | 0.662094i | 0.0301042 | + | 0.0252605i | ||||
\(688\) | 0.754443 | + | 0.274595i | 0.0287629 | + | 0.0104688i | ||||
\(689\) | −78.2438 | + | 28.4784i | −2.98085 | + | 1.08494i | ||||
\(690\) | 0.545762 | − | 0.457949i | 0.0207768 | − | 0.0174338i | ||||
\(691\) | −19.2944 | − | 33.4189i | −0.733994 | − | 1.27132i | −0.955163 | − | 0.296080i | \(-0.904321\pi\) |
0.221169 | − | 0.975235i | \(-0.429013\pi\) | |||||||
\(692\) | −18.4887 | + | 32.0233i | −0.702834 | + | 1.21734i | ||||
\(693\) | 0.0574030 | + | 0.325548i | 0.00218056 | + | 0.0123666i | ||||
\(694\) | 9.07288 | + | 51.4549i | 0.344402 | + | 1.95320i | ||||
\(695\) | −5.34230 | + | 9.25314i | −0.202645 | + | 0.350992i | ||||
\(696\) | 2.84457 | + | 4.92694i | 0.107823 | + | 0.186755i | ||||
\(697\) | 11.3999 | − | 9.56566i | 0.431802 | − | 0.362325i | ||||
\(698\) | 40.5990 | − | 14.7768i | 1.53670 | − | 0.559312i | ||||
\(699\) | 4.15434 | + | 1.51206i | 0.157132 | + | 0.0571912i | ||||
\(700\) | −4.56171 | − | 3.82773i | −0.172416 | − | 0.144675i | ||||
\(701\) | −3.17615 | + | 18.0129i | −0.119962 | + | 0.680336i | 0.864212 | + | 0.503128i | \(0.167818\pi\) |
−0.984173 | + | 0.177208i | \(0.943293\pi\) | |||||||
\(702\) | 64.9398 | 2.45099 | ||||||||
\(703\) | −16.1202 | − | 14.7519i | −0.607983 | − | 0.556379i | ||||
\(704\) | −1.09608 | −0.0413101 | ||||||||
\(705\) | 1.24301 | − | 7.04944i | 0.0468143 | − | 0.265497i | ||||
\(706\) | 20.3724 | + | 17.0945i | 0.766726 | + | 0.643359i | ||||
\(707\) | −23.9798 | − | 8.72794i | −0.901854 | − | 0.328248i | ||||
\(708\) | −21.4147 | + | 7.79431i | −0.804814 | + | 0.292928i | ||||
\(709\) | −8.38460 | + | 7.03551i | −0.314890 | + | 0.264224i | −0.786510 | − | 0.617578i | \(-0.788114\pi\) |
0.471620 | + | 0.881802i | \(0.343670\pi\) | |||||||
\(710\) | −15.9332 | − | 27.5972i | −0.597964 | − | 1.03570i | ||||
\(711\) | 0.111530 | − | 0.193176i | 0.00418271 | − | 0.00724466i | ||||
\(712\) | 4.03910 | + | 22.9068i | 0.151371 | + | 0.858470i | ||||
\(713\) | −0.433286 | − | 2.45729i | −0.0162267 | − | 0.0920261i | ||||
\(714\) | 5.90641 | − | 10.2302i | 0.221042 | − | 0.382856i | ||||
\(715\) | −0.242613 | − | 0.420219i | −0.00907323 | − | 0.0157153i | ||||
\(716\) | −24.3693 | + | 20.4483i | −0.910725 | + | 0.764189i | ||||
\(717\) | −23.8337 | + | 8.67475i | −0.890085 | + | 0.323965i | ||||
\(718\) | 35.9047 | + | 13.0683i | 1.33995 | + | 0.487703i | ||||
\(719\) | −6.11975 | − | 5.13508i | −0.228228 | − | 0.191506i | 0.521502 | − | 0.853250i | \(-0.325372\pi\) |
−0.749730 | + | 0.661744i | \(0.769817\pi\) | |||||||
\(720\) | 0.412475 | − | 2.33926i | 0.0153720 | − | 0.0871791i | ||||
\(721\) | −35.8906 | −1.33663 | ||||||||
\(722\) | −42.0762 | − | 3.62541i | −1.56591 | − | 0.134924i | ||||
\(723\) | 4.55746 | 0.169494 | ||||||||
\(724\) | −2.76346 | + | 15.6723i | −0.102703 | + | 0.582458i | ||||
\(725\) | 2.01021 | + | 1.68677i | 0.0746573 | + | 0.0626449i | ||||
\(726\) | −23.8102 | − | 8.66619i | −0.883678 | − | 0.321632i | ||||
\(727\) | 12.7269 | − | 4.63222i | 0.472016 | − | 0.171800i | −0.0950496 | − | 0.995473i | \(-0.530301\pi\) |
0.567065 | + | 0.823673i | \(0.308079\pi\) | |||||||
\(728\) | 18.5543 | − | 15.5689i | 0.687670 | − | 0.577023i | ||||
\(729\) | −7.48365 | − | 12.9621i | −0.277172 | − | 0.480076i | ||||
\(730\) | 12.0637 | − | 20.8949i | 0.446497 | − | 0.773356i | ||||
\(731\) | −0.285873 | − | 1.62127i | −0.0105734 | − | 0.0599648i | ||||
\(732\) | 7.05160 | + | 39.9916i | 0.260635 | + | 1.47813i | ||||
\(733\) | −6.11770 | + | 10.5962i | −0.225962 | + | 0.391378i | −0.956608 | − | 0.291379i | \(-0.905886\pi\) |
0.730645 | + | 0.682757i | \(0.239219\pi\) | |||||||
\(734\) | −19.5859 | − | 33.9238i | −0.722929 | − | 1.25215i | ||||
\(735\) | −2.30298 | + | 1.93243i | −0.0849466 | + | 0.0712787i | ||||
\(736\) | 2.01122 | − | 0.732024i | 0.0741345 | − | 0.0269828i | ||||
\(737\) | −0.707935 | − | 0.257667i | −0.0260771 | − | 0.00949130i | ||||
\(738\) | −19.2705 | − | 16.1699i | −0.709357 | − | 0.595221i | ||||
\(739\) | −0.942774 | + | 5.34674i | −0.0346805 | + | 0.196683i | −0.997226 | − | 0.0744387i | \(-0.976283\pi\) |
0.962545 | + | 0.271122i | \(0.0873946\pi\) | |||||||
\(740\) | −14.7412 | −0.541896 | ||||||||
\(741\) | 19.0774 | + | 17.4581i | 0.700824 | + | 0.641339i | ||||
\(742\) | 65.5126 | 2.40505 | ||||||||
\(743\) | −0.655059 | + | 3.71503i | −0.0240318 | + | 0.136291i | −0.994463 | − | 0.105086i | \(-0.966488\pi\) |
0.970431 | + | 0.241377i | \(0.0775992\pi\) | |||||||
\(744\) | −13.4071 | − | 11.2499i | −0.491530 | − | 0.412442i | ||||
\(745\) | 4.74039 | + | 1.72536i | 0.173674 | + | 0.0632123i | ||||
\(746\) | −5.54498 | + | 2.01821i | −0.203016 | + | 0.0738918i | ||||
\(747\) | 4.38697 | − | 3.68110i | 0.160511 | − | 0.134684i | ||||
\(748\) | 0.315588 | + | 0.546615i | 0.0115390 | + | 0.0199862i | ||||
\(749\) | 5.16003 | − | 8.93743i | 0.188543 | − | 0.326566i | ||||
\(750\) | −0.400256 | − | 2.26997i | −0.0146153 | − | 0.0828874i | ||||
\(751\) | −1.09106 | − | 6.18771i | −0.0398133 | − | 0.225793i | 0.958409 | − | 0.285400i | \(-0.0921264\pi\) |
−0.998222 | + | 0.0596070i | \(0.981015\pi\) | |||||||
\(752\) | 4.25965 | − | 7.37794i | 0.155334 | − | 0.269046i | ||||
\(753\) | 0.200902 | + | 0.347973i | 0.00732129 | + | 0.0126809i | ||||
\(754\) | −25.5623 | + | 21.4493i | −0.930923 | + | 0.781137i | ||||
\(755\) | −19.5563 | + | 7.11790i | −0.711726 | + | 0.259047i | ||||
\(756\) | −28.5767 | − | 10.4011i | −1.03932 | − | 0.378283i | ||||
\(757\) | −38.9320 | − | 32.6678i | −1.41501 | − | 1.18733i | −0.953952 | − | 0.299960i | \(-0.903027\pi\) |
−0.461055 | − | 0.887372i | \(-0.652529\pi\) | |||||||
\(758\) | 7.32559 | − | 41.5455i | 0.266077 | − | 1.50900i | ||||
\(759\) | −0.0271854 | −0.000986768 | ||||||||
\(760\) | −7.22610 | + | 5.55234i | −0.262118 | + | 0.201405i | ||||
\(761\) | −10.2538 | −0.371701 | −0.185850 | − | 0.982578i | \(-0.559504\pi\) | ||||
−0.185850 | + | 0.982578i | \(0.559504\pi\) | |||||||
\(762\) | 0.576280 | − | 3.26825i | 0.0208764 | − | 0.118396i | ||||
\(763\) | 9.51743 | + | 7.98607i | 0.344554 | + | 0.289115i | ||||
\(764\) | −13.4609 | − | 4.89938i | −0.486999 | − | 0.177253i | ||||
\(765\) | −4.57695 | + | 1.66587i | −0.165480 | + | 0.0602298i | ||||
\(766\) | 20.3109 | − | 17.0429i | 0.733862 | − | 0.615783i | ||||
\(767\) | −21.3774 | − | 37.0267i | −0.771893 | − | 1.33696i | ||||
\(768\) | 3.74273 | − | 6.48259i | 0.135054 | − | 0.233920i | ||||
\(769\) | −0.261207 | − | 1.48138i | −0.00941937 | − | 0.0534199i | 0.979736 | − | 0.200294i | \(-0.0641898\pi\) |
−0.989155 | + | 0.146874i | \(0.953079\pi\) | |||||||
\(770\) | 0.0662943 | + | 0.375974i | 0.00238908 | + | 0.0135491i | ||||
\(771\) | 1.47926 | − | 2.56216i | 0.0532743 | − | 0.0922738i | ||||
\(772\) | 2.03508 | + | 3.52485i | 0.0732440 | + | 0.126862i | ||||
\(773\) | 28.5905 | − | 23.9903i | 1.02833 | − | 0.862872i | 0.0376792 | − | 0.999290i | \(-0.488003\pi\) |
0.990651 | + | 0.136418i | \(0.0435591\pi\) | |||||||
\(774\) | −2.61506 | + | 0.951803i | −0.0939963 | + | 0.0342118i | ||||
\(775\) | −7.58593 | − | 2.76105i | −0.272495 | − | 0.0991799i | ||||
\(776\) | 0.361789 | + | 0.303577i | 0.0129875 | + | 0.0108978i | ||||
\(777\) | 1.82806 | − | 10.3675i | 0.0655814 | − | 0.371931i | ||||
\(778\) | 21.7065 | 0.778215 | ||||||||
\(779\) | −3.36235 | − | 25.4104i | −0.120469 | − | 0.910421i | ||||
\(780\) | 17.4454 | 0.624645 | ||||||||
\(781\) | −0.211150 | + | 1.19749i | −0.00755554 | + | 0.0428496i | ||||
\(782\) | −1.33189 | − | 1.11759i | −0.0476282 | − | 0.0399648i | ||||
\(783\) | 12.5929 | + | 4.58344i | 0.450034 | + | 0.163799i | ||||
\(784\) | −3.36220 | + | 1.22374i | −0.120078 | + | 0.0437050i | ||||
\(785\) | 18.0908 | − | 15.1800i | 0.645687 | − | 0.541796i | ||||
\(786\) | −1.15647 | − | 2.00306i | −0.0412499 | − | 0.0714469i | ||||
\(787\) | −16.4647 | + | 28.5177i | −0.586903 | + | 1.01655i | 0.407732 | + | 0.913101i | \(0.366320\pi\) |
−0.994635 | + | 0.103444i | \(0.967014\pi\) | |||||||
\(788\) | 3.27183 | + | 18.5555i | 0.116554 | + | 0.661011i | ||||
\(789\) | −1.94614 | − | 11.0371i | −0.0692844 | − | 0.392931i | ||||
\(790\) | 0.128805 | − | 0.223097i | 0.00458269 | − | 0.00793745i | ||||
\(791\) | 11.5749 | + | 20.0484i | 0.411558 | + | 0.712839i | ||||
\(792\) | 0.261430 | − | 0.219366i | 0.00928952 | − | 0.00779484i | ||||
\(793\) | −71.5916 | + | 26.0572i | −2.54229 | + | 0.925318i | ||||
\(794\) | 60.2433 | + | 21.9268i | 2.13795 | + | 0.778152i | ||||
\(795\) | 11.5619 | + | 9.70156i | 0.410057 | + | 0.344079i | ||||
\(796\) | 7.98643 | − | 45.2933i | 0.283071 | − | 1.60538i | ||||
\(797\) | −18.1078 | −0.641410 | −0.320705 | − | 0.947179i | \(-0.603920\pi\) | ||||
−0.320705 | + | 0.947179i | \(0.603920\pi\) | |||||||
\(798\) | −9.40677 | − | 18.0413i | −0.332996 | − | 0.638653i | ||||
\(799\) | −17.4690 | −0.618008 | ||||||||
\(800\) | 1.20244 | − | 6.81936i | 0.0425126 | − | 0.241101i | ||||
\(801\) | 16.4034 | + | 13.7641i | 0.579587 | + | 0.486331i | ||||
\(802\) | 13.0988 | + | 4.76758i | 0.462535 | + | 0.168349i | ||||
\(803\) | −0.865133 | + | 0.314883i | −0.0305299 | + | 0.0111120i | ||||
\(804\) | 20.7490 | − | 17.4105i | 0.731761 | − | 0.614021i | ||||
\(805\) | −0.312963 | − | 0.542068i | −0.0110305 | − | 0.0191054i | ||||
\(806\) | 51.3276 | − | 88.9020i | 1.80794 | − | 3.13144i | ||||
\(807\) | 0.500180 | + | 2.83666i | 0.0176072 | + | 0.0998552i | ||||
\(808\) | 4.57476 | + | 25.9448i | 0.160939 | + | 0.912733i | ||||
\(809\) | 3.92768 | − | 6.80294i | 0.138090 | − | 0.239179i | −0.788684 | − | 0.614799i | \(-0.789237\pi\) |
0.926774 | + | 0.375620i | \(0.122570\pi\) | |||||||
\(810\) | 0.531322 | + | 0.920277i | 0.0186688 | + | 0.0323352i | ||||
\(811\) | −14.9626 | + | 12.5551i | −0.525409 | + | 0.440870i | −0.866513 | − | 0.499155i | \(-0.833644\pi\) |
0.341104 | + | 0.940026i | \(0.389199\pi\) | |||||||
\(812\) | 14.6841 | − | 5.34457i | 0.515310 | − | 0.187558i | ||||
\(813\) | −14.4829 | − | 5.27134i | −0.507937 | − | 0.184874i | ||||
\(814\) | 0.723965 | + | 0.607479i | 0.0253750 | + | 0.0212921i | ||||
\(815\) | −0.0370795 | + | 0.210289i | −0.00129884 | + | 0.00736609i | ||||
\(816\) | 3.23895 | 0.113386 | ||||||||
\(817\) | −2.62042 | − | 1.08339i | −0.0916767 | − | 0.0379031i | ||||
\(818\) | −24.9479 | −0.872282 | ||||||||
\(819\) | 3.87194 | − | 21.9589i | 0.135297 | − | 0.767305i | ||||
\(820\) | −13.2461 | − | 11.1148i | −0.462575 | − | 0.388147i | ||||
\(821\) | 17.1492 | + | 6.24180i | 0.598511 | + | 0.217840i | 0.623469 | − | 0.781848i | \(-0.285723\pi\) |
−0.0249577 | + | 0.999689i | \(0.507945\pi\) | |||||||
\(822\) | −22.6275 | + | 8.23574i | −0.789225 | + | 0.287254i | ||||
\(823\) | 12.6885 | − | 10.6469i | 0.442294 | − | 0.371128i | −0.394273 | − | 0.918993i | \(-0.629004\pi\) |
0.836567 | + | 0.547865i | \(0.184559\pi\) | |||||||
\(824\) | 18.5263 | + | 32.0885i | 0.645394 | + | 1.11785i | ||||
\(825\) | −0.0439769 | + | 0.0761702i | −0.00153108 | + | 0.00265191i | ||||
\(826\) | 5.84139 | + | 33.1282i | 0.203248 | + | 1.15268i | ||||
\(827\) | 2.91020 | + | 16.5046i | 0.101198 | + | 0.573921i | 0.992671 | + | 0.120848i | \(0.0385612\pi\) |
−0.891473 | + | 0.453073i | \(0.850328\pi\) | |||||||
\(828\) | −0.874641 | + | 1.51492i | −0.0303959 | + | 0.0526472i | ||||
\(829\) | 4.99915 | + | 8.65878i | 0.173628 | + | 0.300732i | 0.939685 | − | 0.342040i | \(-0.111118\pi\) |
−0.766058 | + | 0.642772i | \(0.777784\pi\) | |||||||
\(830\) | 5.06648 | − | 4.25128i | 0.175860 | − | 0.147564i | ||||
\(831\) | −17.6257 | + | 6.41522i | −0.611428 | + | 0.222542i | ||||
\(832\) | 69.4741 | + | 25.2865i | 2.40858 | + | 0.876652i | ||||
\(833\) | 5.62023 | + | 4.71593i | 0.194730 | + | 0.163397i | ||||
\(834\) | −4.27658 | + | 24.2537i | −0.148086 | + | 0.839837i | ||||
\(835\) | 19.7249 | 0.682607 | ||||||||
\(836\) | 1.08613 | + | 0.0467056i | 0.0375647 | + | 0.00161535i | ||||
\(837\) | −41.2264 | −1.42499 | ||||||||
\(838\) | 10.0645 | − | 57.0784i | 0.347671 | − | 1.97174i | ||||
\(839\) | 34.8926 | + | 29.2783i | 1.20463 | + | 1.01080i | 0.999486 | + | 0.0320678i | \(0.0102092\pi\) |
0.205139 | + | 0.978733i | \(0.434235\pi\) | |||||||
\(840\) | −4.12560 | − | 1.50160i | −0.142347 | − | 0.0518100i | ||||
\(841\) | 20.7802 | − | 7.56339i | 0.716560 | − | 0.260807i | ||||
\(842\) | 43.0116 | − | 36.0910i | 1.48228 | − | 1.24378i | ||||
\(843\) | 2.01399 | + | 3.48834i | 0.0693656 | + | 0.120145i | ||||
\(844\) | −11.2974 | + | 19.5677i | −0.388874 | + | 0.673549i | ||||
\(845\) | 3.42599 | + | 19.4298i | 0.117858 | + | 0.668404i | ||||
\(846\) | 5.12778 | + | 29.0811i | 0.176297 | + | 0.999828i | ||||
\(847\) | −11.1306 | + | 19.2789i | −0.382454 | + | 0.662429i | ||||
\(848\) | 8.98142 | + | 15.5563i | 0.308423 | + | 0.534205i | ||||
\(849\) | −17.7038 | + | 14.8552i | −0.607592 | + | 0.509830i | ||||
\(850\) | −5.28589 | + | 1.92391i | −0.181305 | + | 0.0659895i | ||||
\(851\) | −1.45602 | − | 0.529948i | −0.0499117 | − | 0.0181664i | ||||
\(852\) | −33.4896 | − | 28.1011i | −1.14734 | − | 0.962729i | ||||
\(853\) | 4.42816 | − | 25.1133i | 0.151617 | − | 0.859864i | −0.810196 | − | 0.586159i | \(-0.800640\pi\) |
0.961814 | − | 0.273706i | \(-0.0882494\pi\) | |||||||
\(854\) | 59.9428 | 2.05120 | ||||||||
\(855\) | −1.81038 | + | 8.19159i | −0.0619137 | + | 0.280147i | ||||
\(856\) | −10.6542 | −0.364152 | ||||||||
\(857\) | −1.25811 | + | 7.13511i | −0.0429763 | + | 0.243731i | −0.998727 | − | 0.0504481i | \(-0.983935\pi\) |
0.955750 | + | 0.294179i | \(0.0950462\pi\) | |||||||
\(858\) | −0.856775 | − | 0.718920i | −0.0292498 | − | 0.0245435i | ||||
\(859\) | 28.2917 | + | 10.2973i | 0.965300 | + | 0.351340i | 0.776108 | − | 0.630600i | \(-0.217191\pi\) |
0.189192 | + | 0.981940i | \(0.439413\pi\) | |||||||
\(860\) | −1.79753 | + | 0.654249i | −0.0612954 | + | 0.0223097i | ||||
\(861\) | 9.45973 | − | 7.93766i | 0.322387 | − | 0.270515i | ||||
\(862\) | 42.4421 | + | 73.5118i | 1.44558 | + | 2.50382i | ||||
\(863\) | −3.73981 | + | 6.47754i | −0.127305 | + | 0.220498i | −0.922631 | − | 0.385683i | \(-0.873966\pi\) |
0.795327 | + | 0.606181i | \(0.207299\pi\) | |||||||
\(864\) | −6.14066 | − | 34.8254i | −0.208910 | − | 1.18478i | ||||
\(865\) | 2.18361 | + | 12.3839i | 0.0742449 | + | 0.421064i | ||||
\(866\) | 2.91293 | − | 5.04534i | 0.0989853 | − | 0.171448i | ||||
\(867\) | 5.49376 | + | 9.51547i | 0.186578 | + | 0.323162i | ||||
\(868\) | −36.8256 | + | 30.9004i | −1.24994 | + | 1.04883i | ||||
\(869\) | −0.00923712 | + | 0.00336204i | −0.000313348 | + | 0.000114049i | ||||
\(870\) | 5.68383 | + | 2.06874i | 0.192700 | + | 0.0701370i | ||||
\(871\) | 38.9275 | + | 32.6640i | 1.31901 | + | 1.10678i | ||||
\(872\) | 2.22728 | − | 12.6315i | 0.0754251 | − | 0.427757i | ||||
\(873\) | 0.434779 | 0.0147150 | ||||||||
\(874\) | −2.85546 | + | 0.902389i | −0.0965874 | + | 0.0305238i | ||||
\(875\) | −2.02508 | −0.0684602 | ||||||||
\(876\) | 5.74782 | − | 32.5975i | 0.194201 | − | 1.10137i | ||||
\(877\) | −18.9058 | − | 15.8639i | −0.638404 | − | 0.535684i | 0.265124 | − | 0.964214i | \(-0.414587\pi\) |
−0.903528 | + | 0.428530i | \(0.859032\pi\) | |||||||
\(878\) | 14.0290 | + | 5.10615i | 0.473457 | + | 0.172324i | ||||
\(879\) | 23.8269 | − | 8.67230i | 0.803663 | − | 0.292509i | ||||
\(880\) | −0.0801881 | + | 0.0672858i | −0.00270314 | + | 0.00226820i | ||||
\(881\) | −3.65124 | − | 6.32413i | −0.123013 | − | 0.213065i | 0.797941 | − | 0.602735i | \(-0.205922\pi\) |
−0.920955 | + | 0.389670i | \(0.872589\pi\) | |||||||
\(882\) | 6.20100 | − | 10.7405i | 0.208799 | − | 0.361650i | ||||
\(883\) | −7.60832 | − | 43.1489i | −0.256040 | − | 1.45208i | −0.793388 | − | 0.608717i | \(-0.791685\pi\) |
0.537347 | − | 0.843361i | \(-0.319426\pi\) | |||||||
\(884\) | −7.39291 | − | 41.9273i | −0.248650 | − | 1.41017i | ||||
\(885\) | −3.87494 | + | 6.71159i | −0.130255 | + | 0.225608i | ||||
\(886\) | −28.9023 | − | 50.0602i | −0.970991 | − | 1.68181i | ||||
\(887\) | −37.8365 | + | 31.7486i | −1.27042 | + | 1.06601i | −0.275935 | + | 0.961176i | \(0.588987\pi\) |
−0.994489 | + | 0.104836i | \(0.966568\pi\) | |||||||
\(888\) | −10.2128 | + | 3.71716i | −0.342719 | + | 0.124740i | ||||
\(889\) | −2.73983 | − | 0.997216i | −0.0918909 | − | 0.0334456i | ||||
\(890\) | 18.9442 | + | 15.8961i | 0.635011 | + | 0.532838i | ||||
\(891\) | 0.00704117 | − | 0.0399325i | 0.000235888 | − | 0.00133779i | ||||
\(892\) | 7.29249 | 0.244170 | ||||||||
\(893\) | −16.1498 | + | 25.3870i | −0.540434 | + | 0.849544i | ||||
\(894\) | 11.6278 | 0.388890 | ||||||||
\(895\) | −1.87858 | + | 10.6539i | −0.0627938 | + | 0.356122i | ||||
\(896\) | −23.0765 | − | 19.3635i | −0.770933 | − | 0.646890i | ||||
\(897\) | 1.72312 | + | 0.627165i | 0.0575334 | + | 0.0209404i | ||||
\(898\) | −57.5894 | + | 20.9608i | −1.92178 | + | 0.699472i | ||||
\(899\) | 16.2280 | − | 13.6169i | 0.541233 | − | 0.454149i | ||||
\(900\) | 2.82975 | + | 4.90128i | 0.0943251 | + | 0.163376i | ||||
\(901\) | 18.4166 | − | 31.8984i | 0.613544 | − | 1.06269i | ||||
\(902\) | 0.192503 | + | 1.09174i | 0.00640965 | + | 0.0363509i | ||||
\(903\) | −0.237220 | − | 1.34534i | −0.00789419 | − | 0.0447702i | ||||
\(904\) | 11.9497 | − | 20.6975i | 0.397441 | − | 0.688388i | ||||
\(905\) | 2.70596 | + | 4.68685i | 0.0899490 | + | 0.155796i | ||||
\(906\) | −36.7470 | + | 30.8344i | −1.22084 | + | 1.02440i | ||||
\(907\) | 9.99581 | − | 3.63818i | 0.331905 | − | 0.120804i | −0.170692 | − | 0.985325i | \(-0.554600\pi\) |
0.502597 | + | 0.864521i | \(0.332378\pi\) | |||||||
\(908\) | 1.25327 | + | 0.456154i | 0.0415914 | + | 0.0151380i | ||||
\(909\) | 18.5789 | + | 15.5895i | 0.616222 | + | 0.517071i | ||||
\(910\) | 4.47168 | − | 25.3601i | 0.148235 | − | 0.840680i | ||||
\(911\) | −40.5583 | −1.34376 | −0.671878 | − | 0.740662i | \(-0.734512\pi\) | ||||
−0.671878 | + | 0.740662i | \(0.734512\pi\) | |||||||
\(912\) | 2.99436 | − | 4.70704i | 0.0991532 | − | 0.155866i | ||||
\(913\) | −0.252371 | −0.00835225 | ||||||||
\(914\) | −0.858886 | + | 4.87099i | −0.0284094 | + | 0.161118i | ||||
\(915\) | 10.5789 | + | 8.87674i | 0.349727 | + | 0.293456i | ||||
\(916\) | −2.74467 | − | 0.998978i | −0.0906864 | − | 0.0330072i | ||||
\(917\) | −1.90952 | + | 0.695008i | −0.0630579 | + | 0.0229512i | ||||
\(918\) | −22.0059 | + | 18.4651i | −0.726303 | + | 0.609440i | ||||
\(919\) | −19.1728 | − | 33.2083i | −0.632453 | − | 1.09544i | −0.987049 | − | 0.160421i | \(-0.948715\pi\) |
0.354596 | − | 0.935020i | \(-0.384618\pi\) | |||||||
\(920\) | −0.323096 | + | 0.559619i | −0.0106522 | + | 0.0184501i | ||||
\(921\) | 1.15701 | + | 6.56171i | 0.0381247 | + | 0.216216i | ||||
\(922\) | −7.89522 | − | 44.7760i | −0.260015 | − | 1.47462i | ||||
\(923\) | 41.0096 | − | 71.0306i | 1.34985 | − | 2.33800i | ||||
\(924\) | 0.261877 | + | 0.453585i | 0.00861514 | + | 0.0149219i | ||||
\(925\) | −3.84020 | + | 3.22231i | −0.126265 | + | 0.105949i | ||||
\(926\) | −67.7363 | + | 24.6540i | −2.22595 | + | 0.810180i | ||||
\(927\) | 32.0532 | + | 11.6664i | 1.05276 | + | 0.383175i | ||||
\(928\) | 13.9198 | + | 11.6801i | 0.456940 | + | 0.383419i | ||||
\(929\) | 7.57843 | − | 42.9794i | 0.248640 | − | 1.41011i | −0.563244 | − | 0.826290i | \(-0.690447\pi\) |
0.811884 | − | 0.583818i | \(-0.198442\pi\) | |||||||
\(930\) | −18.6076 | −0.610168 | ||||||||
\(931\) | 12.0493 | − | 3.80785i | 0.394901 | − | 0.124797i | ||||
\(932\) | −12.5363 | −0.410639 | ||||||||
\(933\) | −3.16281 | + | 17.9372i | −0.103546 | + | 0.587237i | ||||
\(934\) | 11.7845 | + | 9.88835i | 0.385600 | + | 0.323557i | ||||
\(935\) | 0.201700 | + | 0.0734126i | 0.00659628 | + | 0.00240085i | ||||
\(936\) | −21.6313 | + | 7.87314i | −0.707041 | + | 0.257342i | ||||
\(937\) | −27.5115 | + | 23.0849i | −0.898760 | + | 0.754150i | −0.969948 | − | 0.243313i | \(-0.921766\pi\) |
0.0711873 | + | 0.997463i | \(0.477321\pi\) | |||||||
\(938\) | −19.9909 | − | 34.6253i | −0.652727 | − | 1.13056i | ||||
\(939\) | 1.88921 | − | 3.27220i | 0.0616519 | − | 0.106784i | ||||
\(940\) | 3.52473 | + | 19.9897i | 0.114964 | + | 0.651993i | ||||
\(941\) | 5.36936 | + | 30.4512i | 0.175036 | + | 0.992680i | 0.938102 | + | 0.346359i | \(0.112582\pi\) |
−0.763066 | + | 0.646321i | \(0.776307\pi\) | |||||||
\(942\) | 27.2170 | − | 47.1413i | 0.886779 | − | 1.53595i | ||||
\(943\) | −0.908772 | − | 1.57404i | −0.0295937 | − | 0.0512578i | ||||
\(944\) | −7.06561 | + | 5.92875i | −0.229966 | + | 0.192964i | ||||
\(945\) | −9.71808 | + | 3.53709i | −0.316129 | + | 0.115062i | ||||
\(946\) | 0.115242 | + | 0.0419445i | 0.00374683 | + | 0.00136373i | ||||
\(947\) | 8.55388 | + | 7.17756i | 0.277964 | + | 0.233239i | 0.771102 | − | 0.636712i | \(-0.219706\pi\) |
−0.493138 | + | 0.869951i | \(0.664150\pi\) | |||||||
\(948\) | 0.0613701 | − | 0.348047i | 0.00199321 | − | 0.0113040i | ||||
\(949\) | 62.1000 | 2.01585 | ||||||||
\(950\) | −2.09079 | + | 9.46041i | −0.0678343 | + | 0.306936i | ||||
\(951\) | 4.66548 | 0.151288 | ||||||||
\(952\) | −1.86053 | + | 10.5516i | −0.0603000 | + | 0.341978i | ||||
\(953\) | −5.67166 | − | 4.75909i | −0.183723 | − | 0.154162i | 0.546288 | − | 0.837598i | \(-0.316041\pi\) |
−0.730011 | + | 0.683436i | \(0.760485\pi\) | |||||||
\(954\) | −58.5081 | − | 21.2952i | −1.89427 | − | 0.689458i | ||||
\(955\) | −4.57766 | + | 1.66613i | −0.148130 | + | 0.0539148i | ||||
\(956\) | 55.0949 | − | 46.2301i | 1.78190 | − | 1.49519i | ||||
\(957\) | −0.115402 | − | 0.199882i | −0.00373041 | − | 0.00646125i | ||||
\(958\) | −22.2761 | + | 38.5833i | −0.719708 | + | 1.24657i | ||||
\(959\) | 3.67363 | + | 20.8342i | 0.118628 | + | 0.672771i | ||||
\(960\) | −2.32711 | − | 13.1977i | −0.0751072 | − | 0.425954i | ||||
\(961\) | −17.0849 | + | 29.5918i | −0.551124 | + | 0.954575i | ||||
\(962\) | −31.8734 | − | 55.2063i | −1.02764 | − | 1.77992i | ||||
\(963\) | −7.51347 | + | 6.30455i | −0.242118 | + | 0.203161i | ||||
\(964\) | −12.1440 | + | 4.42005i | −0.391131 | + | 0.142360i | ||||
\(965\) | 1.30066 | + | 0.473402i | 0.0418698 | + | 0.0152394i | ||||
\(966\) | −1.10521 | − | 0.927382i | −0.0355596 | − | 0.0298380i | ||||
\(967\) | −3.05244 | + | 17.3112i | −0.0981598 | + | 0.556692i | 0.895573 | + | 0.444914i | \(0.146766\pi\) |
−0.993733 | + | 0.111778i | \(0.964345\pi\) | |||||||
\(968\) | 22.9820 | 0.738671 | ||||||||
\(969\) | −11.4287 | − | 0.491457i | −0.367144 | − | 0.0157879i | ||||
\(970\) | 0.502123 | 0.0161222 | ||||||||
\(971\) | −0.922819 | + | 5.23357i | −0.0296147 | + | 0.167953i | −0.996028 | − | 0.0890391i | \(-0.971620\pi\) |
0.966413 | + | 0.256992i | \(0.0827315\pi\) | |||||||
\(972\) | 35.6279 | + | 29.8954i | 1.14277 | + | 0.958895i | ||||
\(973\) | 20.3323 | + | 7.40035i | 0.651823 | + | 0.237244i | ||||
\(974\) | 14.8909 | − | 5.41983i | 0.477134 | − | 0.173662i | ||||
\(975\) | 4.54468 | − | 3.81344i | 0.145546 | − | 0.122128i | ||||
\(976\) | 8.21783 | + | 14.2337i | 0.263046 | + | 0.455609i | ||||
\(977\) | −6.82533 | + | 11.8218i | −0.218362 | + | 0.378214i | −0.954307 | − | 0.298827i | \(-0.903405\pi\) |
0.735946 | + | 0.677041i | \(0.236738\pi\) | |||||||
\(978\) | 0.0854678 | + | 0.484712i | 0.00273296 | + | 0.0154994i | ||||
\(979\) | −0.163862 | − | 0.929310i | −0.00523707 | − | 0.0297009i | ||||
\(980\) | 4.26244 | − | 7.38276i | 0.136159 | − | 0.235834i | ||||
\(981\) | −5.90392 | − | 10.2259i | −0.188498 | − | 0.326488i | ||||
\(982\) | −28.1035 | + | 23.5817i | −0.896820 | + | 0.752521i | ||||
\(983\) | −27.0252 | + | 9.83639i | −0.861972 | + | 0.313732i | −0.734912 | − | 0.678163i | \(-0.762776\pi\) |
−0.127060 | + | 0.991895i | \(0.540554\pi\) | |||||||
\(984\) | −11.9798 | − | 4.36028i | −0.381901 | − | 0.139001i | ||||
\(985\) | 4.90843 | + | 4.11866i | 0.156396 | + | 0.131231i | ||||
\(986\) | 2.56324 | − | 14.5369i | 0.0816303 | − | 0.462949i | ||||
\(987\) | −14.4959 | −0.461409 | ||||||||
\(988\) | −67.7660 | − | 28.0174i | −2.15592 | − | 0.891351i | ||||
\(989\) | −0.201067 | −0.00639357 | ||||||||
\(990\) | 0.0630059 | − | 0.357324i | 0.00200246 | − | 0.0113565i | ||||
\(991\) | −43.2774 | − | 36.3141i | −1.37475 | − | 1.15355i | −0.971109 | − | 0.238638i | \(-0.923299\pi\) |
−0.403643 | − | 0.914916i | \(-0.632256\pi\) | |||||||
\(992\) | −52.5292 | − | 19.1191i | −1.66780 | − | 0.607031i | ||||
\(993\) | −33.2295 | + | 12.0945i | −1.05451 | + | 0.383808i | ||||
\(994\) | −49.4345 | + | 41.4804i | −1.56797 | + | 1.31568i | ||||
\(995\) | −7.82025 | − | 13.5451i | −0.247919 | − | 0.429408i | ||||
\(996\) | 4.53675 | − | 7.85787i | 0.143752 | − | 0.248986i | ||||
\(997\) | −2.45126 | − | 13.9018i | −0.0776323 | − | 0.440274i | −0.998705 | − | 0.0508830i | \(-0.983796\pi\) |
0.921072 | − | 0.389391i | \(-0.127315\pi\) | |||||||
\(998\) | 11.7184 | + | 66.4583i | 0.370939 | + | 2.10370i | ||||
\(999\) | −12.8004 | + | 22.1709i | −0.404986 | + | 0.701456i |
(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 | 95.2.k.a.36.1 | ✓ | 18 | |
3.2 | odd | 2 | 855.2.bs.c.226.3 | 18 | |||
5.2 | odd | 4 | 475.2.u.b.74.1 | 36 | |||
5.3 | odd | 4 | 475.2.u.b.74.6 | 36 | |||
5.4 | even | 2 | 475.2.l.c.226.3 | 18 | |||
19.3 | odd | 18 | 1805.2.a.s.1.9 | 9 | |||
19.9 | even | 9 | inner | 95.2.k.a.66.1 | yes | 18 | |
19.16 | even | 9 | 1805.2.a.v.1.1 | 9 | |||
57.47 | odd | 18 | 855.2.bs.c.541.3 | 18 | |||
95.9 | even | 18 | 475.2.l.c.351.3 | 18 | |||
95.28 | odd | 36 | 475.2.u.b.199.1 | 36 | |||
95.47 | odd | 36 | 475.2.u.b.199.6 | 36 | |||
95.54 | even | 18 | 9025.2.a.cc.1.9 | 9 | |||
95.79 | odd | 18 | 9025.2.a.cf.1.1 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.k.a.36.1 | ✓ | 18 | 1.1 | even | 1 | trivial | |
95.2.k.a.66.1 | yes | 18 | 19.9 | even | 9 | inner | |
475.2.l.c.226.3 | 18 | 5.4 | even | 2 | |||
475.2.l.c.351.3 | 18 | 95.9 | even | 18 | |||
475.2.u.b.74.1 | 36 | 5.2 | odd | 4 | |||
475.2.u.b.74.6 | 36 | 5.3 | odd | 4 | |||
475.2.u.b.199.1 | 36 | 95.28 | odd | 36 | |||
475.2.u.b.199.6 | 36 | 95.47 | odd | 36 | |||
855.2.bs.c.226.3 | 18 | 3.2 | odd | 2 | |||
855.2.bs.c.541.3 | 18 | 57.47 | odd | 18 | |||
1805.2.a.s.1.9 | 9 | 19.3 | odd | 18 | |||
1805.2.a.v.1.1 | 9 | 19.16 | even | 9 | |||
9025.2.a.cc.1.9 | 9 | 95.54 | even | 18 | |||
9025.2.a.cf.1.1 | 9 | 95.79 | odd | 18 |