Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(29,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.u (of order \(8\), degree \(4\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Character | \(\chi\) | \(=\) | 224.29 |
Dual form | 224.2.u.b.85.4 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.420598 | − | 1.35022i | −0.297408 | − | 0.954751i | ||||
\(3\) | 2.28471 | + | 0.946358i | 1.31908 | + | 0.546380i | 0.927520 | − | 0.373773i | \(-0.121936\pi\) |
0.391558 | + | 0.920153i | \(0.371936\pi\) | |||||||
\(4\) | −1.64619 | + | 1.13580i | −0.823097 | + | 0.567900i | ||||
\(5\) | 0.446012 | + | 1.07677i | 0.199462 | + | 0.481545i | 0.991685 | − | 0.128687i | \(-0.0410762\pi\) |
−0.792223 | + | 0.610232i | \(0.791076\pi\) | |||||||
\(6\) | 0.316848 | − | 3.48290i | 0.129353 | − | 1.42189i | ||||
\(7\) | −0.707107 | + | 0.707107i | −0.267261 | + | 0.267261i | ||||
\(8\) | 2.22597 | + | 1.74501i | 0.786999 | + | 0.616954i | ||||
\(9\) | 2.20299 | + | 2.20299i | 0.734330 | + | 0.734330i | ||||
\(10\) | 1.26628 | − | 1.05510i | 0.400434 | − | 0.333652i | ||||
\(11\) | 2.89205 | − | 1.19792i | 0.871985 | − | 0.361188i | 0.0986018 | − | 0.995127i | \(-0.468563\pi\) |
0.773383 | + | 0.633939i | \(0.218563\pi\) | |||||||
\(12\) | −4.83595 | + | 1.03709i | −1.39602 | + | 0.299381i | ||||
\(13\) | 1.10101 | − | 2.65808i | 0.305366 | − | 0.737218i | −0.694478 | − | 0.719514i | \(-0.744364\pi\) |
0.999843 | − | 0.0177038i | \(-0.00563558\pi\) | |||||||
\(14\) | 1.25216 | + | 0.657343i | 0.334653 | + | 0.175682i | ||||
\(15\) | 2.88219i | 0.744178i | ||||||||
\(16\) | 1.41991 | − | 3.73950i | 0.354978 | − | 0.934875i | ||||
\(17\) | 3.12612i | 0.758195i | 0.925357 | + | 0.379097i | \(0.123765\pi\) | ||||
−0.925357 | + | 0.379097i | \(0.876235\pi\) | |||||||
\(18\) | 2.04795 | − | 3.90110i | 0.482707 | − | 0.919498i | ||||
\(19\) | −1.63944 | + | 3.95797i | −0.376114 | + | 0.908021i | 0.616572 | + | 0.787299i | \(0.288521\pi\) |
−0.992686 | + | 0.120722i | \(0.961479\pi\) | |||||||
\(20\) | −1.95722 | − | 1.26599i | −0.437647 | − | 0.283084i | ||||
\(21\) | −2.28471 | + | 0.946358i | −0.498565 | + | 0.206512i | ||||
\(22\) | −2.83385 | − | 3.40106i | −0.604179 | − | 0.725108i | ||||
\(23\) | −1.37407 | − | 1.37407i | −0.286514 | − | 0.286514i | 0.549186 | − | 0.835700i | \(-0.314938\pi\) |
−0.835700 | + | 0.549186i | \(0.814938\pi\) | |||||||
\(24\) | 3.43429 | + | 6.09341i | 0.701022 | + | 1.24381i | ||||
\(25\) | 2.57503 | − | 2.57503i | 0.515006 | − | 0.515006i | ||||
\(26\) | −4.05208 | − | 0.368627i | −0.794678 | − | 0.0722937i | ||||
\(27\) | 0.109304 | + | 0.263882i | 0.0210355 | + | 0.0507842i | ||||
\(28\) | 0.360903 | − | 1.96717i | 0.0682042 | − | 0.371760i | ||||
\(29\) | −8.15384 | − | 3.37743i | −1.51413 | − | 0.627173i | −0.537724 | − | 0.843121i | \(-0.680716\pi\) |
−0.976405 | + | 0.215948i | \(0.930716\pi\) | |||||||
\(30\) | 3.89159 | − | 1.21224i | 0.710504 | − | 0.221324i | ||||
\(31\) | −2.07787 | −0.373196 | −0.186598 | − | 0.982436i | \(-0.559746\pi\) | ||||
−0.186598 | + | 0.982436i | \(0.559746\pi\) | |||||||
\(32\) | −5.64636 | − | 0.344370i | −0.998145 | − | 0.0608765i | ||||
\(33\) | 7.74116 | 1.34756 | ||||||||
\(34\) | 4.22095 | − | 1.31484i | 0.723887 | − | 0.225493i | ||||
\(35\) | −1.07677 | − | 0.446012i | −0.182007 | − | 0.0753897i | ||||
\(36\) | −6.12871 | − | 1.12439i | −1.02145 | − | 0.187399i | ||||
\(37\) | −2.47273 | − | 5.96970i | −0.406515 | − | 0.981413i | −0.986047 | − | 0.166464i | \(-0.946765\pi\) |
0.579533 | − | 0.814949i | \(-0.303235\pi\) | |||||||
\(38\) | 6.03368 | + | 0.548898i | 0.978793 | + | 0.0890431i | ||||
\(39\) | 5.03099 | − | 5.03099i | 0.805603 | − | 0.805603i | ||||
\(40\) | −0.886163 | + | 3.17515i | −0.140115 | + | 0.502035i | ||||
\(41\) | −5.68545 | − | 5.68545i | −0.887918 | − | 0.887918i | 0.106405 | − | 0.994323i | \(-0.466066\pi\) |
−0.994323 | + | 0.106405i | \(0.966066\pi\) | |||||||
\(42\) | 2.23874 | + | 2.68683i | 0.345445 | + | 0.414587i | ||||
\(43\) | 5.63921 | − | 2.33584i | 0.859972 | − | 0.356212i | 0.0912753 | − | 0.995826i | \(-0.470906\pi\) |
0.768697 | + | 0.639614i | \(0.220906\pi\) | |||||||
\(44\) | −3.40027 | + | 5.25681i | −0.512609 | + | 0.792493i | ||||
\(45\) | −1.38955 | + | 3.35467i | −0.207142 | + | 0.500084i | ||||
\(46\) | −1.27737 | + | 2.43323i | −0.188338 | + | 0.358761i | ||||
\(47\) | 8.41845i | 1.22796i | 0.789322 | + | 0.613979i | \(0.210432\pi\) | ||||
−0.789322 | + | 0.613979i | \(0.789568\pi\) | |||||||
\(48\) | 6.78300 | − | 7.19993i | 0.979041 | − | 1.03922i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | −4.55992 | − | 2.39381i | −0.644870 | − | 0.338536i | ||||
\(51\) | −2.95843 | + | 7.14227i | −0.414263 | + | 1.00012i | ||||
\(52\) | 1.20657 | + | 5.62624i | 0.167321 | + | 0.780220i | ||||
\(53\) | −12.4599 | + | 5.16105i | −1.71150 | + | 0.708925i | −0.711517 | + | 0.702669i | \(0.751991\pi\) |
−0.999980 | + | 0.00625642i | \(0.998009\pi\) | |||||||
\(54\) | 0.310327 | − | 0.258573i | 0.0422301 | − | 0.0351873i | ||||
\(55\) | 2.57977 | + | 2.57977i | 0.347857 | + | 0.347857i | ||||
\(56\) | −2.80791 | + | 0.340089i | −0.375222 | + | 0.0454463i | ||||
\(57\) | −7.49132 | + | 7.49132i | −0.992249 | + | 0.992249i | ||||
\(58\) | −1.13079 | + | 12.4300i | −0.148480 | + | 1.63214i | ||||
\(59\) | 2.20741 | + | 5.32915i | 0.287380 | + | 0.693797i | 0.999970 | − | 0.00778433i | \(-0.00247785\pi\) |
−0.712590 | + | 0.701581i | \(0.752478\pi\) | |||||||
\(60\) | −3.27359 | − | 4.74464i | −0.422619 | − | 0.612531i | ||||
\(61\) | 4.89845 | + | 2.02901i | 0.627183 | + | 0.259788i | 0.673556 | − | 0.739137i | \(-0.264766\pi\) |
−0.0463728 | + | 0.998924i | \(0.514766\pi\) | |||||||
\(62\) | 0.873946 | + | 2.80558i | 0.110991 | + | 0.356309i | ||||
\(63\) | −3.11550 | −0.392516 | ||||||||
\(64\) | 1.90987 | + | 7.76868i | 0.238734 | + | 0.971085i | ||||
\(65\) | 3.35320 | 0.415913 | ||||||||
\(66\) | −3.25592 | − | 10.4523i | −0.400776 | − | 1.28659i | ||||
\(67\) | 8.29598 | + | 3.43631i | 1.01352 | + | 0.419812i | 0.826736 | − | 0.562590i | \(-0.190195\pi\) |
0.186780 | + | 0.982402i | \(0.440195\pi\) | |||||||
\(68\) | −3.55065 | − | 5.14620i | −0.430579 | − | 0.624068i | ||||
\(69\) | −1.83899 | − | 4.43972i | −0.221389 | − | 0.534480i | ||||
\(70\) | −0.149328 | + | 1.64147i | −0.0178481 | + | 0.196193i | ||||
\(71\) | 6.35827 | − | 6.35827i | 0.754587 | − | 0.754587i | −0.220744 | − | 0.975332i | \(-0.570849\pi\) |
0.975332 | + | 0.220744i | \(0.0708486\pi\) | |||||||
\(72\) | 1.05955 | + | 8.74803i | 0.124869 | + | 1.03097i | ||||
\(73\) | −10.6870 | − | 10.6870i | −1.25082 | − | 1.25082i | −0.955355 | − | 0.295460i | \(-0.904527\pi\) |
−0.295460 | − | 0.955355i | \(-0.595473\pi\) | |||||||
\(74\) | −7.02039 | + | 5.84958i | −0.816104 | + | 0.680000i | ||||
\(75\) | 8.32011 | − | 3.44630i | 0.960723 | − | 0.397945i | ||||
\(76\) | −1.79662 | − | 8.37767i | −0.206087 | − | 0.960985i | ||||
\(77\) | −1.19792 | + | 2.89205i | −0.136516 | + | 0.329579i | ||||
\(78\) | −8.90897 | − | 4.67692i | −1.00874 | − | 0.529557i | ||||
\(79\) | 5.81518i | 0.654259i | 0.944980 | + | 0.327129i | \(0.106081\pi\) | ||||
−0.944980 | + | 0.327129i | \(0.893919\pi\) | |||||||
\(80\) | 4.65987 | − | 0.138945i | 0.520989 | − | 0.0155345i | ||||
\(81\) | − | 8.64016i | − | 0.960018i | ||||||
\(82\) | −5.28533 | + | 10.0679i | −0.583667 | + | 1.11181i | ||||
\(83\) | −1.91430 | + | 4.62153i | −0.210122 | + | 0.507279i | −0.993442 | − | 0.114340i | \(-0.963525\pi\) |
0.783320 | + | 0.621619i | \(0.213525\pi\) | |||||||
\(84\) | 2.68620 | − | 4.15287i | 0.293089 | − | 0.453115i | ||||
\(85\) | −3.36610 | + | 1.39428i | −0.365105 | + | 0.151231i | ||||
\(86\) | −5.52574 | − | 6.63173i | −0.595856 | − | 0.715118i | ||||
\(87\) | −15.4329 | − | 15.4329i | −1.65458 | − | 1.65458i | ||||
\(88\) | 8.52800 | + | 2.38011i | 0.909088 | + | 0.253720i | ||||
\(89\) | 5.79482 | − | 5.79482i | 0.614249 | − | 0.614249i | −0.329801 | − | 0.944050i | \(-0.606982\pi\) |
0.944050 | + | 0.329801i | \(0.106982\pi\) | |||||||
\(90\) | 5.11399 | + | 0.465231i | 0.539061 | + | 0.0490397i | ||||
\(91\) | 1.10101 | + | 2.65808i | 0.115417 | + | 0.278642i | ||||
\(92\) | 3.82266 | + | 0.701318i | 0.398540 | + | 0.0731174i | ||||
\(93\) | −4.74732 | − | 1.96641i | −0.492274 | − | 0.203907i | ||||
\(94\) | 11.3668 | − | 3.54079i | 1.17239 | − | 0.365204i | ||||
\(95\) | −4.99302 | −0.512274 | ||||||||
\(96\) | −12.5744 | − | 6.13027i | −1.28337 | − | 0.625668i | ||||
\(97\) | 13.8362 | 1.40485 | 0.702424 | − | 0.711759i | \(-0.252101\pi\) | ||||
0.702424 | + | 0.711759i | \(0.252101\pi\) | |||||||
\(98\) | −1.35022 | + | 0.420598i | −0.136393 | + | 0.0424868i | ||||
\(99\) | 9.01017 | + | 3.73213i | 0.905556 | + | 0.375094i | ||||
\(100\) | −1.31428 | + | 7.16373i | −0.131428 | + | 0.716373i | ||||
\(101\) | 1.30081 | + | 3.14044i | 0.129436 | + | 0.312486i | 0.975290 | − | 0.220928i | \(-0.0709087\pi\) |
−0.845854 | + | 0.533414i | \(0.820909\pi\) | |||||||
\(102\) | 10.8880 | + | 0.990503i | 1.07807 | + | 0.0980744i | ||||
\(103\) | 9.32632 | − | 9.32632i | 0.918950 | − | 0.918950i | −0.0780034 | − | 0.996953i | \(-0.524854\pi\) |
0.996953 | + | 0.0780034i | \(0.0248545\pi\) | |||||||
\(104\) | 7.08919 | − | 3.99552i | 0.695153 | − | 0.391793i | ||||
\(105\) | −2.03802 | − | 2.03802i | −0.198890 | − | 0.198890i | ||||
\(106\) | 12.2092 | + | 14.6529i | 1.18586 | + | 1.42321i | ||||
\(107\) | −15.7923 | + | 6.54138i | −1.52670 | + | 0.632379i | −0.978920 | − | 0.204245i | \(-0.934526\pi\) |
−0.547778 | + | 0.836624i | \(0.684526\pi\) | |||||||
\(108\) | −0.479653 | − | 0.310255i | −0.0461546 | − | 0.0298543i | ||||
\(109\) | 0.154193 | − | 0.372256i | 0.0147690 | − | 0.0356556i | −0.916323 | − | 0.400440i | \(-0.868857\pi\) |
0.931092 | + | 0.364784i | \(0.118857\pi\) | |||||||
\(110\) | 2.39822 | − | 4.56831i | 0.228661 | − | 0.435571i | ||||
\(111\) | − | 15.9791i | − | 1.51667i | ||||||
\(112\) | 1.64020 | + | 3.64825i | 0.154984 | + | 0.344728i | ||||
\(113\) | 3.18758i | 0.299863i | 0.988696 | + | 0.149931i | \(0.0479053\pi\) | ||||
−0.988696 | + | 0.149931i | \(0.952095\pi\) | |||||||
\(114\) | 13.2658 | + | 6.96410i | 1.24245 | + | 0.652248i | ||||
\(115\) | 0.866704 | − | 2.09241i | 0.0808206 | − | 0.195118i | ||||
\(116\) | 17.2589 | − | 3.70123i | 1.60245 | − | 0.343651i | ||||
\(117\) | 8.28124 | − | 3.43020i | 0.765601 | − | 0.317122i | ||||
\(118\) | 6.26710 | − | 5.22192i | 0.576934 | − | 0.480717i | ||||
\(119\) | −2.21050 | − | 2.21050i | −0.202636 | − | 0.202636i | ||||
\(120\) | −5.02945 | + | 6.41566i | −0.459124 | + | 0.585667i | ||||
\(121\) | −0.849266 | + | 0.849266i | −0.0772060 | + | 0.0772060i | ||||
\(122\) | 0.679326 | − | 7.46739i | 0.0615033 | − | 0.676066i | ||||
\(123\) | −7.60914 | − | 18.3701i | −0.686093 | − | 1.65637i | ||||
\(124\) | 3.42057 | − | 2.36004i | 0.307176 | − | 0.211938i | ||||
\(125\) | 9.30504 | + | 3.85427i | 0.832268 | + | 0.344737i | ||||
\(126\) | 1.31037 | + | 4.20661i | 0.116737 | + | 0.374755i | ||||
\(127\) | 12.5601 | 1.11453 | 0.557264 | − | 0.830335i | \(-0.311851\pi\) | ||||
0.557264 | + | 0.830335i | \(0.311851\pi\) | |||||||
\(128\) | 9.68615 | − | 5.84624i | 0.856142 | − | 0.516740i | ||||
\(129\) | 15.0945 | 1.32900 | ||||||||
\(130\) | −1.41035 | − | 4.52756i | −0.123696 | − | 0.397093i | ||||
\(131\) | 2.81182 | + | 1.16470i | 0.245670 | + | 0.101760i | 0.502121 | − | 0.864797i | \(-0.332553\pi\) |
−0.256451 | + | 0.966557i | \(0.582553\pi\) | |||||||
\(132\) | −12.7434 | + | 8.79241i | −1.10917 | + | 0.765281i | ||||
\(133\) | −1.63944 | − | 3.95797i | −0.142158 | − | 0.343200i | ||||
\(134\) | 1.15050 | − | 12.6467i | 0.0993882 | − | 1.09251i | ||||
\(135\) | −0.235389 | + | 0.235389i | −0.0202591 | + | 0.0202591i | ||||
\(136\) | −5.45511 | + | 6.95864i | −0.467772 | + | 0.596698i | ||||
\(137\) | −5.08861 | − | 5.08861i | −0.434750 | − | 0.434750i | 0.455491 | − | 0.890240i | \(-0.349464\pi\) |
−0.890240 | + | 0.455491i | \(0.849464\pi\) | |||||||
\(138\) | −5.22113 | + | 4.35039i | −0.444452 | + | 0.370330i | ||||
\(139\) | −14.5495 | + | 6.02660i | −1.23407 | + | 0.511170i | −0.901857 | − | 0.432034i | \(-0.857796\pi\) |
−0.332216 | + | 0.943204i | \(0.607796\pi\) | |||||||
\(140\) | 2.27915 | − | 0.488772i | 0.192623 | − | 0.0413087i | ||||
\(141\) | −7.96687 | + | 19.2337i | −0.670932 | + | 1.61977i | ||||
\(142\) | −11.2593 | − | 5.91079i | −0.944863 | − | 0.496023i | ||||
\(143\) | − | 9.00621i | − | 0.753137i | ||||||
\(144\) | 11.3661 | − | 5.11003i | 0.947178 | − | 0.425836i | ||||
\(145\) | − | 10.2862i | − | 0.854219i | ||||||
\(146\) | −9.93485 | + | 18.9247i | −0.822214 | + | 1.56622i | ||||
\(147\) | 0.946358 | − | 2.28471i | 0.0780543 | − | 0.188440i | ||||
\(148\) | 10.8510 | + | 7.01876i | 0.891946 | + | 0.576939i | ||||
\(149\) | 5.50184 | − | 2.27894i | 0.450728 | − | 0.186698i | −0.145759 | − | 0.989320i | \(-0.546562\pi\) |
0.596488 | + | 0.802622i | \(0.296562\pi\) | |||||||
\(150\) | −8.15269 | − | 9.78448i | −0.665664 | − | 0.798899i | ||||
\(151\) | 1.49240 | + | 1.49240i | 0.121450 | + | 0.121450i | 0.765219 | − | 0.643770i | \(-0.222630\pi\) |
−0.643770 | + | 0.765219i | \(0.722630\pi\) | |||||||
\(152\) | −10.5561 | + | 5.94947i | −0.856209 | + | 0.482566i | ||||
\(153\) | −6.88680 | + | 6.88680i | −0.556765 | + | 0.556765i | ||||
\(154\) | 4.40875 | + | 0.401074i | 0.355267 | + | 0.0323195i | ||||
\(155\) | −0.926752 | − | 2.23738i | −0.0744385 | − | 0.179711i | ||||
\(156\) | −2.56778 | + | 13.9962i | −0.205587 | + | 1.12059i | ||||
\(157\) | 7.30817 | + | 3.02714i | 0.583256 | + | 0.241592i | 0.654746 | − | 0.755849i | \(-0.272776\pi\) |
−0.0714904 | + | 0.997441i | \(0.522776\pi\) | |||||||
\(158\) | 7.85178 | − | 2.44585i | 0.624654 | − | 0.194582i | ||||
\(159\) | −33.3515 | −2.64494 | ||||||||
\(160\) | −2.14754 | − | 6.23341i | −0.169778 | − | 0.492794i | ||||
\(161\) | 1.94323 | 0.153148 | ||||||||
\(162\) | −11.6661 | + | 3.63404i | −0.916578 | + | 0.285517i | ||||
\(163\) | −15.8361 | − | 6.55953i | −1.24038 | − | 0.513782i | −0.336547 | − | 0.941667i | \(-0.609259\pi\) |
−0.903833 | + | 0.427885i | \(0.859259\pi\) | |||||||
\(164\) | 15.8169 | + | 2.90182i | 1.23509 | + | 0.226594i | ||||
\(165\) | 3.45265 | + | 8.33543i | 0.268788 | + | 0.648912i | ||||
\(166\) | 7.04524 | + | 0.640922i | 0.546817 | + | 0.0497452i | ||||
\(167\) | 11.0870 | − | 11.0870i | 0.857936 | − | 0.857936i | −0.133159 | − | 0.991095i | \(-0.542512\pi\) |
0.991095 | + | 0.133159i | \(0.0425119\pi\) | |||||||
\(168\) | −6.73710 | − | 1.88028i | −0.519779 | − | 0.145067i | ||||
\(169\) | 3.33924 | + | 3.33924i | 0.256864 | + | 0.256864i | ||||
\(170\) | 3.29837 | + | 3.95855i | 0.252973 | + | 0.303607i | ||||
\(171\) | −12.3311 | + | 5.10769i | −0.942979 | + | 0.390595i | ||||
\(172\) | −6.63019 | + | 10.2503i | −0.505547 | + | 0.781576i | ||||
\(173\) | −5.85781 | + | 14.1420i | −0.445361 | + | 1.07520i | 0.528679 | + | 0.848822i | \(0.322687\pi\) |
−0.974040 | + | 0.226375i | \(0.927313\pi\) | |||||||
\(174\) | −14.3468 | + | 27.3289i | −1.08763 | + | 2.07180i | ||||
\(175\) | 3.64165i | 0.275283i | ||||||||
\(176\) | −0.373186 | − | 12.5158i | −0.0281300 | − | 0.943410i | ||||
\(177\) | 14.2646i | 1.07219i | ||||||||
\(178\) | −10.2616 | − | 5.38700i | −0.769137 | − | 0.403772i | ||||
\(179\) | −9.54957 | + | 23.0547i | −0.713768 | + | 1.72319i | −0.0234048 | + | 0.999726i | \(0.507451\pi\) |
−0.690363 | + | 0.723463i | \(0.742549\pi\) | |||||||
\(180\) | −1.52277 | − | 7.10069i | −0.113500 | − | 0.529254i | ||||
\(181\) | 17.0976 | − | 7.08206i | 1.27086 | − | 0.526405i | 0.357631 | − | 0.933863i | \(-0.383585\pi\) |
0.913224 | + | 0.407457i | \(0.133585\pi\) | |||||||
\(182\) | 3.12591 | − | 2.60459i | 0.231708 | − | 0.193065i | ||||
\(183\) | 9.27139 | + | 9.27139i | 0.685361 | + | 0.685361i | ||||
\(184\) | −0.660871 | − | 5.45641i | −0.0487201 | − | 0.402252i | ||||
\(185\) | 5.32512 | − | 5.32512i | 0.391510 | − | 0.391510i | ||||
\(186\) | −0.658367 | + | 7.23700i | −0.0482738 | + | 0.530643i | ||||
\(187\) | 3.74485 | + | 9.04087i | 0.273851 | + | 0.661134i | ||||
\(188\) | −9.56169 | − | 13.8584i | −0.697358 | − | 1.01073i | ||||
\(189\) | −0.263882 | − | 0.109304i | −0.0191946 | − | 0.00795067i | ||||
\(190\) | 2.10006 | + | 6.74169i | 0.152354 | + | 0.489093i | ||||
\(191\) | −4.40429 | −0.318683 | −0.159342 | − | 0.987223i | \(-0.550937\pi\) | ||||
−0.159342 | + | 0.987223i | \(0.550937\pi\) | |||||||
\(192\) | −2.98844 | + | 19.5566i | −0.215672 | + | 1.41138i | ||||
\(193\) | −23.3123 | −1.67805 | −0.839027 | − | 0.544090i | \(-0.816875\pi\) | ||||
−0.839027 | + | 0.544090i | \(0.816875\pi\) | |||||||
\(194\) | −5.81946 | − | 18.6819i | −0.417813 | − | 1.34128i | ||||
\(195\) | 7.66108 | + | 3.17332i | 0.548622 | + | 0.227247i | ||||
\(196\) | 1.13580 | + | 1.64619i | 0.0811286 | + | 0.117585i | ||||
\(197\) | −5.07285 | − | 12.2469i | −0.361426 | − | 0.872559i | −0.995092 | − | 0.0989524i | \(-0.968451\pi\) |
0.633667 | − | 0.773606i | \(-0.281549\pi\) | |||||||
\(198\) | 1.24955 | − | 13.7354i | 0.0888014 | − | 0.976136i | ||||
\(199\) | −16.2874 | + | 16.2874i | −1.15458 | + | 1.15458i | −0.168961 | + | 0.985623i | \(0.554041\pi\) |
−0.985623 | + | 0.168961i | \(0.945959\pi\) | |||||||
\(200\) | 10.2254 | − | 1.23848i | 0.723045 | − | 0.0875739i | ||||
\(201\) | 15.7019 | + | 15.7019i | 1.10753 | + | 1.10753i | ||||
\(202\) | 3.69317 | − | 3.07725i | 0.259851 | − | 0.216515i | ||||
\(203\) | 8.15384 | − | 3.37743i | 0.572287 | − | 0.237049i | ||||
\(204\) | −3.24206 | − | 15.1178i | −0.226989 | − | 1.05845i | ||||
\(205\) | 3.58613 | − | 8.65768i | 0.250466 | − | 0.604679i | ||||
\(206\) | −16.5152 | − | 8.66996i | −1.15067 | − | 0.604065i | ||||
\(207\) | − | 6.05414i | − | 0.420792i | ||||||
\(208\) | −8.37654 | − | 7.89147i | −0.580808 | − | 0.547175i | ||||
\(209\) | 13.4106i | 0.927628i | ||||||||
\(210\) | −1.89459 | + | 3.60896i | −0.130739 | + | 0.249042i | ||||
\(211\) | 2.78349 | − | 6.71993i | 0.191623 | − | 0.462619i | −0.798643 | − | 0.601805i | \(-0.794448\pi\) |
0.990266 | + | 0.139186i | \(0.0444485\pi\) | |||||||
\(212\) | 14.6495 | − | 22.6481i | 1.00613 | − | 1.55547i | ||||
\(213\) | 20.5440 | − | 8.50960i | 1.40765 | − | 0.583068i | ||||
\(214\) | 15.4745 | + | 18.5718i | 1.05782 | + | 1.26954i | ||||
\(215\) | 5.03031 | + | 5.03031i | 0.343064 | + | 0.343064i | ||||
\(216\) | −0.217171 | + | 0.778130i | −0.0147766 | + | 0.0529451i | ||||
\(217\) | 1.46927 | − | 1.46927i | 0.0997407 | − | 0.0997407i | ||||
\(218\) | −0.567481 | − | 0.0516251i | −0.0384346 | − | 0.00349649i | ||||
\(219\) | −14.3029 | − | 34.5303i | −0.966503 | − | 2.33334i | ||||
\(220\) | −7.17692 | − | 1.31670i | −0.483868 | − | 0.0887718i | ||||
\(221\) | 8.30946 | + | 3.44189i | 0.558955 | + | 0.231527i | ||||
\(222\) | −21.5754 | + | 6.72080i | −1.44804 | + | 0.451070i | ||||
\(223\) | 20.9072 | 1.40005 | 0.700026 | − | 0.714118i | \(-0.253172\pi\) | ||||
0.700026 | + | 0.714118i | \(0.253172\pi\) | |||||||
\(224\) | 4.23609 | − | 3.74908i | 0.283035 | − | 0.250496i | ||||
\(225\) | 11.3455 | 0.756370 | ||||||||
\(226\) | 4.30394 | − | 1.34069i | 0.286294 | − | 0.0891815i | ||||
\(227\) | −0.817212 | − | 0.338500i | −0.0542403 | − | 0.0224670i | 0.355398 | − | 0.934715i | \(-0.384345\pi\) |
−0.409639 | + | 0.912248i | \(0.634345\pi\) | |||||||
\(228\) | 3.82352 | − | 20.8408i | 0.253219 | − | 1.38022i | ||||
\(229\) | 4.36923 | + | 10.5483i | 0.288727 | + | 0.697049i | 0.999983 | − | 0.00588476i | \(-0.00187319\pi\) |
−0.711256 | + | 0.702933i | \(0.751873\pi\) | |||||||
\(230\) | −3.18975 | − | 0.290179i | −0.210326 | − | 0.0191338i | ||||
\(231\) | −5.47382 | + | 5.47382i | −0.360151 | + | 0.360151i | ||||
\(232\) | −12.2565 | − | 21.7466i | −0.804681 | − | 1.42773i | ||||
\(233\) | 15.1524 | + | 15.1524i | 0.992666 | + | 0.992666i | 0.999973 | − | 0.00730773i | \(-0.00232614\pi\) |
−0.00730773 | + | 0.999973i | \(0.502326\pi\) | |||||||
\(234\) | −8.11460 | − | 9.73877i | −0.530468 | − | 0.636643i | ||||
\(235\) | −9.06472 | + | 3.75473i | −0.591317 | + | 0.244931i | ||||
\(236\) | −9.68668 | − | 6.26565i | −0.630549 | − | 0.407859i | ||||
\(237\) | −5.50324 | + | 13.2860i | −0.357474 | + | 0.863019i | ||||
\(238\) | −2.05493 | + | 3.91439i | −0.133201 | + | 0.253732i | ||||
\(239\) | − | 1.59391i | − | 0.103101i | −0.998670 | − | 0.0515507i | \(-0.983584\pi\) | ||
0.998670 | − | 0.0515507i | \(-0.0164164\pi\) | |||||||
\(240\) | 10.7779 | + | 4.09246i | 0.695713 | + | 0.264167i | ||||
\(241\) | − | 6.77065i | − | 0.436136i | −0.975934 | − | 0.218068i | \(-0.930025\pi\) | ||
0.975934 | − | 0.218068i | \(-0.0699755\pi\) | |||||||
\(242\) | 1.50390 | + | 0.789497i | 0.0966741 | + | 0.0507508i | ||||
\(243\) | 8.50460 | − | 20.5319i | 0.545570 | − | 1.31712i | ||||
\(244\) | −10.3684 | + | 2.22353i | −0.663766 | + | 0.142347i | ||||
\(245\) | 1.07677 | − | 0.446012i | 0.0687921 | − | 0.0284946i | ||||
\(246\) | −21.6033 | + | 18.0004i | −1.37738 | + | 1.14767i | ||||
\(247\) | 8.71554 | + | 8.71554i | 0.554557 | + | 0.554557i | ||||
\(248\) | −4.62526 | − | 3.62590i | −0.293705 | − | 0.230245i | ||||
\(249\) | −8.74725 | + | 8.74725i | −0.554334 | + | 0.554334i | ||||
\(250\) | 1.29044 | − | 14.1850i | 0.0816146 | − | 0.897136i | ||||
\(251\) | 11.2855 | + | 27.2456i | 0.712335 | + | 1.71973i | 0.694084 | + | 0.719894i | \(0.255810\pi\) |
0.0182507 | + | 0.999833i | \(0.494190\pi\) | |||||||
\(252\) | 5.12872 | − | 3.53859i | 0.323079 | − | 0.222910i | ||||
\(253\) | −5.61992 | − | 2.32785i | −0.353321 | − | 0.146350i | ||||
\(254\) | −5.28275 | − | 16.9589i | −0.331470 | − | 1.06410i | ||||
\(255\) | −9.01006 | −0.564232 | ||||||||
\(256\) | −11.9677 | − | 10.6195i | −0.747981 | − | 0.663720i | ||||
\(257\) | 2.47679 | 0.154498 | 0.0772490 | − | 0.997012i | \(-0.475386\pi\) | ||||
0.0772490 | + | 0.997012i | \(0.475386\pi\) | |||||||
\(258\) | −6.34872 | − | 20.3809i | −0.395254 | − | 1.26886i | ||||
\(259\) | 5.96970 | + | 2.47273i | 0.370939 | + | 0.153648i | ||||
\(260\) | −5.52001 | + | 3.80856i | −0.342337 | + | 0.236197i | ||||
\(261\) | −10.5224 | − | 25.4033i | −0.651319 | − | 1.57242i | ||||
\(262\) | 0.389949 | − | 4.28645i | 0.0240911 | − | 0.264818i | ||||
\(263\) | 3.92237 | − | 3.92237i | 0.241864 | − | 0.241864i | −0.575757 | − | 0.817621i | \(-0.695293\pi\) |
0.817621 | + | 0.575757i | \(0.195293\pi\) | |||||||
\(264\) | 17.2316 | + | 13.5084i | 1.06053 | + | 0.831385i | ||||
\(265\) | −11.1145 | − | 11.1145i | −0.682759 | − | 0.682759i | ||||
\(266\) | −4.65459 | + | 3.87833i | −0.285391 | + | 0.237796i | ||||
\(267\) | 18.7235 | − | 7.75551i | 1.14586 | − | 0.474629i | ||||
\(268\) | −17.5598 | + | 3.76575i | −1.07263 | + | 0.230030i | ||||
\(269\) | −9.45451 | + | 22.8252i | −0.576452 | + | 1.39168i | 0.319525 | + | 0.947578i | \(0.396477\pi\) |
−0.895977 | + | 0.444100i | \(0.853523\pi\) | |||||||
\(270\) | 0.416832 | + | 0.218823i | 0.0253676 | + | 0.0133172i | ||||
\(271\) | 16.2549i | 0.987416i | 0.869628 | + | 0.493708i | \(0.164359\pi\) | ||||
−0.869628 | + | 0.493708i | \(0.835641\pi\) | |||||||
\(272\) | 11.6901 | + | 4.43881i | 0.708817 | + | 0.269142i | ||||
\(273\) | 7.11489i | 0.430613i | ||||||||
\(274\) | −4.73049 | + | 9.01102i | −0.285779 | + | 0.544375i | ||||
\(275\) | 4.36242 | − | 10.5318i | 0.263064 | − | 0.635092i | ||||
\(276\) | 8.06999 | + | 5.21992i | 0.485756 | + | 0.314202i | ||||
\(277\) | −25.6162 | + | 10.6106i | −1.53913 | + | 0.637528i | −0.981310 | − | 0.192434i | \(-0.938362\pi\) |
−0.557819 | + | 0.829963i | \(0.688362\pi\) | |||||||
\(278\) | 14.2567 | + | 17.1103i | 0.855063 | + | 1.02621i | ||||
\(279\) | −4.57752 | − | 4.57752i | −0.274049 | − | 0.274049i | ||||
\(280\) | −1.61856 | − | 2.87178i | −0.0967272 | − | 0.171622i | ||||
\(281\) | −7.89840 | + | 7.89840i | −0.471179 | + | 0.471179i | −0.902296 | − | 0.431117i | \(-0.858120\pi\) |
0.431117 | + | 0.902296i | \(0.358120\pi\) | |||||||
\(282\) | 29.3206 | + | 2.66737i | 1.74602 | + | 0.158840i | ||||
\(283\) | −6.85592 | − | 16.5517i | −0.407542 | − | 0.983894i | −0.985782 | − | 0.168027i | \(-0.946260\pi\) |
0.578240 | − | 0.815867i | \(-0.303740\pi\) | |||||||
\(284\) | −3.24522 | + | 17.6887i | −0.192568 | + | 1.04963i | ||||
\(285\) | −11.4076 | − | 4.72519i | −0.675729 | − | 0.279896i | ||||
\(286\) | −12.1604 | + | 3.78800i | −0.719058 | + | 0.223989i | ||||
\(287\) | 8.04044 | 0.474612 | ||||||||
\(288\) | −11.6802 | − | 13.1975i | −0.688265 | − | 0.777672i | ||||
\(289\) | 7.22740 | 0.425141 | ||||||||
\(290\) | −13.8886 | + | 4.32634i | −0.815566 | + | 0.254051i | ||||
\(291\) | 31.6116 | + | 13.0940i | 1.85311 | + | 0.767581i | ||||
\(292\) | 29.7311 | + | 5.45456i | 1.73988 | + | 0.319204i | ||||
\(293\) | −2.86595 | − | 6.91901i | −0.167431 | − | 0.404213i | 0.817787 | − | 0.575521i | \(-0.195201\pi\) |
−0.985218 | + | 0.171308i | \(0.945201\pi\) | |||||||
\(294\) | −3.48290 | − | 0.316848i | −0.203127 | − | 0.0184789i | ||||
\(295\) | −4.75373 | + | 4.75373i | −0.276773 | + | 0.276773i | ||||
\(296\) | 4.91297 | − | 17.6033i | 0.285561 | − | 1.02317i | ||||
\(297\) | 0.632223 | + | 0.632223i | 0.0366853 | + | 0.0366853i | ||||
\(298\) | −5.39113 | − | 6.47019i | −0.312300 | − | 0.374808i | ||||
\(299\) | −5.16526 | + | 2.13952i | −0.298715 | + | 0.123732i | ||||
\(300\) | −9.78220 | + | 15.1233i | −0.564776 | + | 0.873142i | ||||
\(301\) | −2.33584 | + | 5.63921i | −0.134635 | + | 0.325039i | ||||
\(302\) | 1.38737 | − | 2.64277i | 0.0798342 | − | 0.152075i | ||||
\(303\) | 8.40604i | 0.482914i | ||||||||
\(304\) | 12.4730 | + | 11.7507i | 0.715373 | + | 0.673947i | ||||
\(305\) | 6.17946i | 0.353835i | ||||||||
\(306\) | 12.1953 | + | 6.40213i | 0.697158 | + | 0.365986i | ||||
\(307\) | 3.67610 | − | 8.87490i | 0.209806 | − | 0.506517i | −0.783586 | − | 0.621283i | \(-0.786612\pi\) |
0.993393 | + | 0.114766i | \(0.0366118\pi\) | |||||||
\(308\) | −1.31277 | − | 6.12148i | −0.0748021 | − | 0.348803i | ||||
\(309\) | 30.1340 | − | 12.4819i | 1.71426 | − | 0.710071i | ||||
\(310\) | −2.63116 | + | 2.19236i | −0.149440 | + | 0.124518i | ||||
\(311\) | 11.5111 | + | 11.5111i | 0.652732 | + | 0.652732i | 0.953650 | − | 0.300918i | \(-0.0972930\pi\) |
−0.300918 | + | 0.953650i | \(0.597293\pi\) | |||||||
\(312\) | 19.9780 | − | 2.41969i | 1.13103 | − | 0.136988i | ||||
\(313\) | 4.54430 | − | 4.54430i | 0.256859 | − | 0.256859i | −0.566916 | − | 0.823775i | \(-0.691864\pi\) |
0.823775 | + | 0.566916i | \(0.191864\pi\) | |||||||
\(314\) | 1.01351 | − | 11.1409i | 0.0571957 | − | 0.628715i | ||||
\(315\) | −1.38955 | − | 3.35467i | −0.0782922 | − | 0.189014i | ||||
\(316\) | −6.60489 | − | 9.57292i | −0.371554 | − | 0.538519i | ||||
\(317\) | −1.26017 | − | 0.521981i | −0.0707784 | − | 0.0293174i | 0.347013 | − | 0.937860i | \(-0.387196\pi\) |
−0.417792 | + | 0.908543i | \(0.637196\pi\) | |||||||
\(318\) | 14.0276 | + | 45.0318i | 0.786626 | + | 2.52526i | ||||
\(319\) | −27.6272 | −1.54683 | ||||||||
\(320\) | −7.51323 | + | 5.52141i | −0.420003 | + | 0.308656i | ||||
\(321\) | −42.2713 | −2.35935 | ||||||||
\(322\) | −0.817320 | − | 2.62379i | −0.0455475 | − | 0.146218i | ||||
\(323\) | −12.3731 | − | 5.12510i | −0.688456 | − | 0.285168i | ||||
\(324\) | 9.81350 | + | 14.2234i | 0.545195 | + | 0.790188i | ||||
\(325\) | −4.00950 | − | 9.67978i | −0.222407 | − | 0.536937i | ||||
\(326\) | −2.19618 | + | 24.1412i | −0.121635 | + | 1.33706i | ||||
\(327\) | 0.704574 | − | 0.704574i | 0.0389630 | − | 0.0389630i | ||||
\(328\) | −2.73446 | − | 22.5768i | −0.150985 | − | 1.24660i | ||||
\(329\) | −5.95275 | − | 5.95275i | −0.328185 | − | 0.328185i | ||||
\(330\) | 9.80249 | − | 8.16770i | 0.539609 | − | 0.449617i | ||||
\(331\) | 6.90232 | − | 2.85903i | 0.379386 | − | 0.157147i | −0.184837 | − | 0.982769i | \(-0.559176\pi\) |
0.564223 | + | 0.825622i | \(0.309176\pi\) | |||||||
\(332\) | −2.09783 | − | 9.78220i | −0.115133 | − | 0.536868i | ||||
\(333\) | 7.70380 | − | 18.5986i | 0.422165 | − | 1.01920i | ||||
\(334\) | −19.6330 | − | 10.3067i | −1.07427 | − | 0.563958i | ||||
\(335\) | 10.4655i | 0.571790i | ||||||||
\(336\) | 0.294816 | + | 9.88742i | 0.0160835 | + | 0.539403i | ||||
\(337\) | − | 20.8441i | − | 1.13545i | −0.823219 | − | 0.567724i | \(-0.807824\pi\) | ||
0.823219 | − | 0.567724i | \(-0.192176\pi\) | |||||||
\(338\) | 3.10423 | − | 5.91319i | 0.168848 | − | 0.321635i | ||||
\(339\) | −3.01660 | + | 7.28271i | −0.163839 | + | 0.395543i | ||||
\(340\) | 3.95763 | − | 6.11848i | 0.214632 | − | 0.331821i | ||||
\(341\) | −6.00928 | + | 2.48913i | −0.325421 | + | 0.134794i | ||||
\(342\) | 12.0829 | + | 14.5014i | 0.653370 | + | 0.784144i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 16.6288 | + | 4.64098i | 0.896563 | + | 0.250225i | ||||
\(345\) | 3.96034 | − | 3.96034i | 0.213217 | − | 0.213217i | ||||
\(346\) | 21.5586 | + | 1.96124i | 1.15900 | + | 0.105437i | ||||
\(347\) | −9.06618 | − | 21.8877i | −0.486698 | − | 1.17499i | −0.956372 | − | 0.292153i | \(-0.905628\pi\) |
0.469674 | − | 0.882840i | \(-0.344372\pi\) | |||||||
\(348\) | 42.9343 | + | 7.87685i | 2.30152 | + | 0.422244i | ||||
\(349\) | 7.38704 | + | 3.05981i | 0.395419 | + | 0.163788i | 0.571528 | − | 0.820583i | \(-0.306351\pi\) |
−0.176109 | + | 0.984371i | \(0.556351\pi\) | |||||||
\(350\) | 4.91703 | − | 1.53167i | 0.262826 | − | 0.0818712i | ||||
\(351\) | 0.821765 | 0.0438626 | ||||||||
\(352\) | −16.7421 | + | 5.76799i | −0.892355 | + | 0.307435i | ||||
\(353\) | 23.8909 | 1.27158 | 0.635792 | − | 0.771860i | \(-0.280673\pi\) | ||||
0.635792 | + | 0.771860i | \(0.280673\pi\) | |||||||
\(354\) | 19.2603 | − | 5.99965i | 1.02368 | − | 0.318878i | ||||
\(355\) | 9.68223 | + | 4.01051i | 0.513880 | + | 0.212856i | ||||
\(356\) | −2.95764 | + | 16.1212i | −0.156754 | + | 0.854419i | ||||
\(357\) | −2.95843 | − | 7.14227i | −0.156577 | − | 0.378009i | ||||
\(358\) | 35.1455 | + | 3.19727i | 1.85750 | + | 0.168981i | ||||
\(359\) | 5.53219 | − | 5.53219i | 0.291978 | − | 0.291978i | −0.545883 | − | 0.837861i | \(-0.683806\pi\) |
0.837861 | + | 0.545883i | \(0.183806\pi\) | |||||||
\(360\) | −8.94702 | + | 5.04261i | −0.471550 | + | 0.265769i | ||||
\(361\) | 0.457282 | + | 0.457282i | 0.0240675 | + | 0.0240675i | ||||
\(362\) | −16.7536 | − | 20.1069i | −0.880548 | − | 1.05679i | ||||
\(363\) | −2.74404 | + | 1.13662i | −0.144025 | + | 0.0596569i | ||||
\(364\) | −4.83153 | − | 3.12518i | −0.253241 | − | 0.163804i | ||||
\(365\) | 6.74087 | − | 16.2739i | 0.352833 | − | 0.851815i | ||||
\(366\) | 8.61889 | − | 16.4179i | 0.450517 | − | 0.858180i | ||||
\(367\) | 12.6028i | 0.657861i | 0.944354 | + | 0.328931i | \(0.106688\pi\) | ||||
−0.944354 | + | 0.328931i | \(0.893312\pi\) | |||||||
\(368\) | −7.08941 | + | 3.18728i | −0.369561 | + | 0.166148i | ||||
\(369\) | − | 25.0500i | − | 1.30405i | ||||||
\(370\) | −9.42982 | − | 4.95035i | −0.490233 | − | 0.257356i | ||||
\(371\) | 5.16105 | − | 12.4599i | 0.267949 | − | 0.646885i | ||||
\(372\) | 10.0485 | − | 2.15493i | 0.520988 | − | 0.111728i | ||||
\(373\) | −16.1184 | + | 6.67648i | −0.834582 | + | 0.345695i | −0.758715 | − | 0.651423i | \(-0.774172\pi\) |
−0.0758668 | + | 0.997118i | \(0.524172\pi\) | |||||||
\(374\) | 10.6321 | − | 8.85895i | 0.549773 | − | 0.458086i | ||||
\(375\) | 17.6118 | + | 17.6118i | 0.909470 | + | 0.909470i | ||||
\(376\) | −14.6903 | + | 18.7392i | −0.757594 | + | 0.966401i | ||||
\(377\) | −17.9549 | + | 17.9549i | −0.924726 | + | 0.924726i | ||||
\(378\) | −0.0365957 | + | 0.402273i | −0.00188228 | + | 0.0206907i | ||||
\(379\) | 2.44066 | + | 5.89228i | 0.125368 | + | 0.302666i | 0.974085 | − | 0.226182i | \(-0.0726243\pi\) |
−0.848717 | + | 0.528848i | \(0.822624\pi\) | |||||||
\(380\) | 8.21949 | − | 5.67108i | 0.421651 | − | 0.290920i | ||||
\(381\) | 28.6962 | + | 11.8864i | 1.47015 | + | 0.608956i | ||||
\(382\) | 1.85244 | + | 5.94677i | 0.0947789 | + | 0.304263i | ||||
\(383\) | −3.22785 | −0.164936 | −0.0824678 | − | 0.996594i | \(-0.526280\pi\) | ||||
−0.0824678 | + | 0.996594i | \(0.526280\pi\) | |||||||
\(384\) | 27.6627 | − | 4.19042i | 1.41166 | − | 0.213841i | ||||
\(385\) | −3.64835 | −0.185937 | ||||||||
\(386\) | 9.80510 | + | 31.4767i | 0.499066 | + | 1.60212i | ||||
\(387\) | 17.5690 | + | 7.27730i | 0.893081 | + | 0.369926i | ||||
\(388\) | −22.7770 | + | 15.7151i | −1.15633 | + | 0.797814i | ||||
\(389\) | 2.46724 | + | 5.95646i | 0.125094 | + | 0.302004i | 0.974003 | − | 0.226535i | \(-0.0727398\pi\) |
−0.848909 | + | 0.528540i | \(0.822740\pi\) | |||||||
\(390\) | 1.06245 | − | 11.6789i | 0.0537994 | − | 0.591382i | ||||
\(391\) | 4.29551 | − | 4.29551i | 0.217233 | − | 0.217233i | ||||
\(392\) | 1.74501 | − | 2.22597i | 0.0881364 | − | 0.112428i | ||||
\(393\) | 5.32198 | + | 5.32198i | 0.268459 | + | 0.268459i | ||||
\(394\) | −14.4025 | + | 12.0005i | −0.725585 | + | 0.604577i | ||||
\(395\) | −6.26160 | + | 2.59364i | −0.315055 | + | 0.130500i | ||||
\(396\) | −19.0715 | + | 4.08994i | −0.958376 | + | 0.205527i | ||||
\(397\) | 12.4821 | − | 30.1346i | 0.626461 | − | 1.51241i | −0.217530 | − | 0.976054i | \(-0.569800\pi\) |
0.843991 | − | 0.536357i | \(-0.180200\pi\) | |||||||
\(398\) | 28.8420 | + | 15.1411i | 1.44572 | + | 0.758957i | ||||
\(399\) | − | 10.5943i | − | 0.530379i | ||||||
\(400\) | −5.97301 | − | 13.2856i | −0.298650 | − | 0.664282i | ||||
\(401\) | 28.3687i | 1.41667i | 0.705879 | + | 0.708333i | \(0.250552\pi\) | ||||
−0.705879 | + | 0.708333i | \(0.749448\pi\) | |||||||
\(402\) | 14.5969 | − | 27.8053i | 0.728027 | − | 1.38680i | ||||
\(403\) | −2.28775 | + | 5.52313i | −0.113961 | + | 0.275127i | ||||
\(404\) | −5.70831 | − | 3.69231i | −0.283999 | − | 0.183699i | ||||
\(405\) | 9.30344 | − | 3.85361i | 0.462292 | − | 0.191488i | ||||
\(406\) | −7.98976 | − | 9.58894i | −0.396525 | − | 0.475891i | ||||
\(407\) | −14.3025 | − | 14.3025i | −0.708949 | − | 0.708949i | ||||
\(408\) | −19.0487 | + | 10.7360i | −0.943052 | + | 0.531511i | ||||
\(409\) | 2.09746 | − | 2.09746i | 0.103713 | − | 0.103713i | −0.653346 | − | 0.757059i | \(-0.726635\pi\) |
0.757059 | + | 0.653346i | \(0.226635\pi\) | |||||||
\(410\) | −13.1981 | − | 1.20066i | −0.651808 | − | 0.0592965i | ||||
\(411\) | −6.81036 | − | 16.4417i | −0.335930 | − | 0.811007i | ||||
\(412\) | −4.76009 | + | 25.9458i | −0.234513 | + | 1.27826i | ||||
\(413\) | −5.32915 | − | 2.20741i | −0.262230 | − | 0.108619i | ||||
\(414\) | −8.17443 | + | 2.54636i | −0.401751 | + | 0.125147i | ||||
\(415\) | −5.83012 | −0.286189 | ||||||||
\(416\) | −7.13207 | + | 14.6293i | −0.349679 | + | 0.717261i | ||||
\(417\) | −38.9447 | −1.90713 | ||||||||
\(418\) | 18.1072 | − | 5.64046i | 0.885654 | − | 0.275884i | ||||
\(419\) | −34.2774 | − | 14.1982i | −1.67456 | − | 0.693627i | −0.675519 | − | 0.737343i | \(-0.736080\pi\) |
−0.999044 | + | 0.0437160i | \(0.986080\pi\) | |||||||
\(420\) | 5.66975 | + | 1.04019i | 0.276655 | + | 0.0507561i | ||||
\(421\) | −3.26832 | − | 7.89042i | −0.159288 | − | 0.384556i | 0.824006 | − | 0.566582i | \(-0.191734\pi\) |
−0.983294 | + | 0.182026i | \(0.941734\pi\) | |||||||
\(422\) | −10.2441 | − | 0.931933i | −0.498676 | − | 0.0453658i | ||||
\(423\) | −18.5458 | + | 18.5458i | −0.901726 | + | 0.901726i | ||||
\(424\) | −36.7414 | − | 10.2543i | −1.78432 | − | 0.497993i | ||||
\(425\) | 8.04985 | + | 8.04985i | 0.390475 | + | 0.390475i | ||||
\(426\) | −20.1306 | − | 24.1598i | −0.975331 | − | 1.17055i | ||||
\(427\) | −4.89845 | + | 2.02901i | −0.237053 | + | 0.0981905i | ||||
\(428\) | 18.5675 | − | 28.7053i | 0.897492 | − | 1.38752i | ||||
\(429\) | 8.52311 | − | 20.5766i | 0.411499 | − | 0.993448i | ||||
\(430\) | 4.67629 | − | 8.90777i | 0.225511 | − | 0.429571i | ||||
\(431\) | − | 8.09042i | − | 0.389702i | −0.980833 | − | 0.194851i | \(-0.937578\pi\) | ||
0.980833 | − | 0.194851i | \(-0.0624223\pi\) | |||||||
\(432\) | 1.14199 | − | 0.0340511i | 0.0549440 | − | 0.00163828i | ||||
\(433\) | 0.959859i | 0.0461279i | 0.999734 | + | 0.0230639i | \(0.00734213\pi\) | ||||
−0.999734 | + | 0.0230639i | \(0.992658\pi\) | |||||||
\(434\) | −2.60182 | − | 1.36587i | −0.124891 | − | 0.0655638i | ||||
\(435\) | 9.73439 | − | 23.5009i | 0.466728 | − | 1.12678i | ||||
\(436\) | 0.168976 | + | 0.787938i | 0.00809249 | + | 0.0377354i | ||||
\(437\) | 7.69125 | − | 3.18582i | 0.367923 | − | 0.152399i | ||||
\(438\) | −40.6078 | + | 33.8355i | −1.94032 | + | 1.61672i | ||||
\(439\) | 1.19473 | + | 1.19473i | 0.0570214 | + | 0.0570214i | 0.735042 | − | 0.678021i | \(-0.237162\pi\) |
−0.678021 | + | 0.735042i | \(0.737162\pi\) | |||||||
\(440\) | 1.24076 | + | 10.2442i | 0.0591510 | + | 0.488374i | ||||
\(441\) | 2.20299 | − | 2.20299i | 0.104904 | − | 0.104904i | ||||
\(442\) | 1.15237 | − | 12.6673i | 0.0548127 | − | 0.602520i | ||||
\(443\) | −2.88208 | − | 6.95795i | −0.136932 | − | 0.330582i | 0.840507 | − | 0.541800i | \(-0.182257\pi\) |
−0.977439 | + | 0.211218i | \(0.932257\pi\) | |||||||
\(444\) | 18.1491 | + | 26.3048i | 0.861319 | + | 1.24837i | ||||
\(445\) | 8.82423 | + | 3.65511i | 0.418308 | + | 0.173269i | ||||
\(446\) | −8.79354 | − | 28.2294i | −0.416386 | − | 1.33670i | ||||
\(447\) | 14.7268 | 0.696554 | ||||||||
\(448\) | −6.84377 | − | 4.14280i | −0.323338 | − | 0.195729i | ||||
\(449\) | 10.6484 | 0.502530 | 0.251265 | − | 0.967918i | \(-0.419153\pi\) | ||||
0.251265 | + | 0.967918i | \(0.419153\pi\) | |||||||
\(450\) | −4.77191 | − | 15.3190i | −0.224950 | − | 0.722144i | ||||
\(451\) | −23.2533 | − | 9.63184i | −1.09496 | − | 0.453546i | ||||
\(452\) | −3.62046 | − | 5.24738i | −0.170292 | − | 0.246816i | ||||
\(453\) | 1.99736 | + | 4.82205i | 0.0938442 | + | 0.226560i | ||||
\(454\) | −0.113332 | + | 1.24579i | −0.00531895 | + | 0.0584678i | ||||
\(455\) | −2.37107 | + | 2.37107i | −0.111157 | + | 0.111157i | ||||
\(456\) | −29.7479 | + | 3.60301i | −1.39307 | + | 0.168726i | ||||
\(457\) | −10.2751 | − | 10.2751i | −0.480647 | − | 0.480647i | 0.424691 | − | 0.905338i | \(-0.360383\pi\) |
−0.905338 | + | 0.424691i | \(0.860383\pi\) | |||||||
\(458\) | 12.4048 | − | 10.3360i | 0.579638 | − | 0.482970i | ||||
\(459\) | −0.824927 | + | 0.341696i | −0.0385043 | + | 0.0159490i | ||||
\(460\) | 0.949797 | + | 4.42892i | 0.0442845 | + | 0.206499i | ||||
\(461\) | −11.4376 | + | 27.6129i | −0.532704 | + | 1.28606i | 0.397022 | + | 0.917809i | \(0.370044\pi\) |
−0.929726 | + | 0.368252i | \(0.879956\pi\) | |||||||
\(462\) | 9.69315 | + | 5.08859i | 0.450966 | + | 0.236743i | ||||
\(463\) | 26.3271i | 1.22353i | 0.791041 | + | 0.611763i | \(0.209539\pi\) | ||||
−0.791041 | + | 0.611763i | \(0.790461\pi\) | |||||||
\(464\) | −24.2076 | + | 25.6956i | −1.12381 | + | 1.19289i | ||||
\(465\) | − | 5.98880i | − | 0.277724i | ||||||
\(466\) | 14.0860 | − | 26.8321i | 0.652522 | − | 1.24297i | ||||
\(467\) | −3.09988 | + | 7.48378i | −0.143446 | + | 0.346308i | −0.979231 | − | 0.202748i | \(-0.935013\pi\) |
0.835785 | + | 0.549056i | \(0.185013\pi\) | |||||||
\(468\) | −9.73650 | + | 15.0526i | −0.450070 | + | 0.695808i | ||||
\(469\) | −8.29598 | + | 3.43631i | −0.383073 | + | 0.158674i | ||||
\(470\) | 8.88232 | + | 10.6601i | 0.409711 | + | 0.491716i | ||||
\(471\) | 13.8323 | + | 13.8323i | 0.637359 | + | 0.637359i | ||||
\(472\) | −4.38581 | + | 15.7145i | −0.201873 | + | 0.723318i | ||||
\(473\) | 13.5107 | − | 13.5107i | 0.621223 | − | 0.621223i | ||||
\(474\) | 20.2537 | + | 1.84253i | 0.930283 | + | 0.0846301i | ||||
\(475\) | 5.97028 | + | 14.4135i | 0.273935 | + | 0.661338i | ||||
\(476\) | 6.14960 | + | 1.12822i | 0.281866 | + | 0.0517120i | ||||
\(477\) | −38.8188 | − | 16.0793i | −1.77739 | − | 0.736219i | ||||
\(478\) | −2.15213 | + | 0.670395i | −0.0984361 | + | 0.0306632i | ||||
\(479\) | 15.3471 | 0.701229 | 0.350615 | − | 0.936520i | \(-0.385973\pi\) | ||||
0.350615 | + | 0.936520i | \(0.385973\pi\) | |||||||
\(480\) | 0.992538 | − | 16.2739i | 0.0453030 | − | 0.742798i | ||||
\(481\) | −18.5904 | −0.847651 | ||||||||
\(482\) | −9.14188 | + | 2.84772i | −0.416401 | + | 0.129710i | ||||
\(483\) | 4.43972 | + | 1.83899i | 0.202014 | + | 0.0836771i | ||||
\(484\) | 0.433460 | − | 2.36265i | 0.0197027 | − | 0.107393i | ||||
\(485\) | 6.17109 | + | 14.8983i | 0.280215 | + | 0.676498i | ||||
\(486\) | −31.2997 | − | 2.84740i | −1.41978 | − | 0.129161i | ||||
\(487\) | 21.0309 | − | 21.0309i | 0.953002 | − | 0.953002i | −0.0459418 | − | 0.998944i | \(-0.514629\pi\) |
0.998944 | + | 0.0459418i | \(0.0146289\pi\) | |||||||
\(488\) | 7.36317 | + | 13.0644i | 0.333315 | + | 0.591396i | ||||
\(489\) | −29.9733 | − | 29.9733i | −1.35544 | − | 1.35544i | ||||
\(490\) | −1.05510 | − | 1.26628i | −0.0476646 | − | 0.0572048i | ||||
\(491\) | −26.1876 | + | 10.8473i | −1.18183 | + | 0.489531i | −0.885087 | − | 0.465426i | \(-0.845901\pi\) |
−0.296745 | + | 0.954957i | \(0.595901\pi\) | |||||||
\(492\) | 33.3909 | + | 21.5983i | 1.50538 | + | 0.973725i | ||||
\(493\) | 10.5582 | − | 25.4898i | 0.475519 | − | 1.14800i | ||||
\(494\) | 8.10217 | − | 15.4337i | 0.364534 | − | 0.694393i | ||||
\(495\) | 11.3664i | 0.510883i | ||||||||
\(496\) | −2.95039 | + | 7.77017i | −0.132476 | + | 0.348891i | ||||
\(497\) | 8.99195i | 0.403344i | ||||||||
\(498\) | 15.4898 | + | 8.13165i | 0.694115 | + | 0.364388i | ||||
\(499\) | −3.17109 | + | 7.65568i | −0.141957 | + | 0.342715i | −0.978828 | − | 0.204686i | \(-0.934383\pi\) |
0.836870 | + | 0.547401i | \(0.184383\pi\) | |||||||
\(500\) | −19.6956 | + | 4.22379i | −0.880814 | + | 0.188894i | ||||
\(501\) | 35.8228 | − | 14.8383i | 1.60044 | − | 0.662926i | ||||
\(502\) | 32.0409 | − | 26.6974i | 1.43006 | − | 1.19156i | ||||
\(503\) | −2.63641 | − | 2.63641i | −0.117552 | − | 0.117552i | 0.645884 | − | 0.763436i | \(-0.276489\pi\) |
−0.763436 | + | 0.645884i | \(0.776489\pi\) | |||||||
\(504\) | −6.93500 | − | 5.43658i | −0.308910 | − | 0.242165i | ||||
\(505\) | −2.80135 | + | 2.80135i | −0.124658 | + | 0.124658i | ||||
\(506\) | −0.779380 | + | 8.56722i | −0.0346477 | + | 0.380859i | ||||
\(507\) | 4.46908 | + | 10.7893i | 0.198479 | + | 0.479170i | ||||
\(508\) | −20.6764 | + | 14.2658i | −0.917365 | + | 0.632941i | ||||
\(509\) | −31.7025 | − | 13.1316i | −1.40519 | − | 0.582048i | −0.454095 | − | 0.890953i | \(-0.650037\pi\) |
−0.951093 | + | 0.308906i | \(0.900037\pi\) | |||||||
\(510\) | 3.78961 | + | 12.1656i | 0.167807 | + | 0.538701i | ||||
\(511\) | 15.1137 | 0.668589 | ||||||||
\(512\) | −9.30511 | + | 20.6256i | −0.411232 | + | 0.911531i | ||||
\(513\) | −1.22364 | −0.0540249 | ||||||||
\(514\) | −1.04173 | − | 3.34422i | −0.0459489 | − | 0.147507i | ||||
\(515\) | 14.2019 | + | 5.88263i | 0.625812 | + | 0.259220i | ||||
\(516\) | −24.8485 | + | 17.1444i | −1.09389 | + | 0.754738i | ||||
\(517\) | 10.0847 | + | 24.3466i | 0.443524 | + | 1.07076i | ||||
\(518\) | 0.827889 | − | 9.10045i | 0.0363754 | − | 0.399851i | ||||
\(519\) | −26.7668 | + | 26.7668i | −1.17493 | + | 1.17493i | ||||
\(520\) | 7.46411 | + | 5.85136i | 0.327323 | + | 0.256599i | ||||
\(521\) | −0.988325 | − | 0.988325i | −0.0432993 | − | 0.0432993i | 0.685126 | − | 0.728425i | \(-0.259747\pi\) |
−0.728425 | + | 0.685126i | \(0.759747\pi\) | |||||||
\(522\) | −29.8743 | + | 24.8921i | −1.30756 | + | 1.08950i | ||||
\(523\) | 31.0730 | − | 12.8709i | 1.35873 | − | 0.562804i | 0.420019 | − | 0.907515i | \(-0.362023\pi\) |
0.938709 | + | 0.344712i | \(0.112023\pi\) | |||||||
\(524\) | −5.95167 | + | 1.27636i | −0.260000 | + | 0.0557579i | ||||
\(525\) | −3.44630 | + | 8.32011i | −0.150409 | + | 0.363119i | ||||
\(526\) | −6.94581 | − | 3.64633i | −0.302852 | − | 0.158987i | ||||
\(527\) | − | 6.49565i | − | 0.282955i | ||||||
\(528\) | 10.9918 | − | 28.9480i | 0.478355 | − | 1.25980i | ||||
\(529\) | − | 19.2238i | − | 0.835819i | ||||||
\(530\) | −10.3323 | + | 19.6818i | −0.448807 | + | 0.854922i | ||||
\(531\) | −6.87718 | + | 16.6030i | −0.298444 | + | 0.720508i | ||||
\(532\) | 7.19431 | + | 4.65351i | 0.311913 | + | 0.201755i | ||||
\(533\) | −21.3721 | + | 8.85262i | −0.925729 | + | 0.383450i | ||||
\(534\) | −18.3467 | − | 22.0189i | −0.793940 | − | 0.952849i | ||||
\(535\) | −14.0871 | − | 14.0871i | −0.609038 | − | 0.609038i | ||||
\(536\) | 12.4702 | + | 22.1257i | 0.538631 | + | 0.955685i | ||||
\(537\) | −43.6360 | + | 43.6360i | −1.88303 | + | 1.88303i | ||||
\(538\) | 34.7956 | + | 3.16544i | 1.50015 | + | 0.136472i | ||||
\(539\) | −1.19792 | − | 2.89205i | −0.0515983 | − | 0.124569i | ||||
\(540\) | 0.120141 | − | 0.654852i | 0.00517005 | − | 0.0281803i | ||||
\(541\) | 37.8714 | + | 15.6868i | 1.62822 | + | 0.674430i | 0.995031 | − | 0.0995678i | \(-0.0317460\pi\) |
0.633188 | + | 0.773998i | \(0.281746\pi\) | |||||||
\(542\) | 21.9477 | − | 6.83679i | 0.942736 | − | 0.293665i | ||||
\(543\) | 45.7653 | 1.96398 | ||||||||
\(544\) | 1.07654 | − | 17.6512i | 0.0461562 | − | 0.756788i | ||||
\(545\) | 0.469605 | 0.0201157 | ||||||||
\(546\) | 9.60668 | − | 2.99251i | 0.411128 | − | 0.128068i | ||||
\(547\) | −26.3617 | − | 10.9194i | −1.12714 | − | 0.466878i | −0.260335 | − | 0.965518i | \(-0.583833\pi\) |
−0.866809 | + | 0.498640i | \(0.833833\pi\) | |||||||
\(548\) | 14.1565 | + | 2.59720i | 0.604736 | + | 0.110947i | ||||
\(549\) | 6.32137 | + | 15.2611i | 0.269789 | + | 0.651329i | ||||
\(550\) | −16.0551 | − | 1.46057i | −0.684592 | − | 0.0622789i | ||||
\(551\) | 26.7355 | − | 26.7355i | 1.13897 | − | 1.13897i | ||||
\(552\) | 3.65382 | − | 13.0918i | 0.155517 | − | 0.557222i | ||||
\(553\) | −4.11195 | − | 4.11195i | −0.174858 | − | 0.174858i | ||||
\(554\) | 25.1008 | + | 30.1248i | 1.06643 | + | 1.27988i | ||||
\(555\) | 17.2058 | − | 7.12688i | 0.730346 | − | 0.302519i | ||||
\(556\) | 17.1063 | − | 26.4463i | 0.725468 | − | 1.12157i | ||||
\(557\) | 8.84578 | − | 21.3556i | 0.374808 | − | 0.904866i | −0.618113 | − | 0.786089i | \(-0.712103\pi\) |
0.992921 | − | 0.118777i | \(-0.0378973\pi\) | |||||||
\(558\) | −4.25537 | + | 8.10596i | −0.180144 | + | 0.343153i | ||||
\(559\) | − | 17.5613i | − | 0.742762i | ||||||
\(560\) | −3.19678 | + | 3.39327i | −0.135088 | + | 0.143392i | ||||
\(561\) | 24.1998i | 1.02171i | ||||||||
\(562\) | 13.9866 | + | 7.34254i | 0.589991 | + | 0.309726i | ||||
\(563\) | −9.18532 | + | 22.1753i | −0.387115 | + | 0.934578i | 0.603433 | + | 0.797413i | \(0.293799\pi\) |
−0.990548 | + | 0.137165i | \(0.956201\pi\) | |||||||
\(564\) | −8.73067 | − | 40.7113i | −0.367628 | − | 1.71425i | ||||
\(565\) | −3.43229 | + | 1.42170i | −0.144397 | + | 0.0598114i | ||||
\(566\) | −19.4648 | + | 16.2186i | −0.818167 | + | 0.681719i | ||||
\(567\) | 6.10952 | + | 6.10952i | 0.256576 | + | 0.256576i | ||||
\(568\) | 25.2485 | − | 3.05806i | 1.05941 | − | 0.128313i | ||||
\(569\) | 28.4584 | − | 28.4584i | 1.19304 | − | 1.19304i | 0.216830 | − | 0.976209i | \(-0.430428\pi\) |
0.976209 | − | 0.216830i | \(-0.0695717\pi\) | |||||||
\(570\) | −1.58203 | + | 17.3902i | −0.0662639 | + | 0.728396i | ||||
\(571\) | 9.61551 | + | 23.2139i | 0.402397 | + | 0.971472i | 0.987083 | + | 0.160212i | \(0.0512178\pi\) |
−0.584686 | + | 0.811260i | \(0.698782\pi\) | |||||||
\(572\) | 10.2293 | + | 14.8260i | 0.427707 | + | 0.619905i | ||||
\(573\) | −10.0625 | − | 4.16804i | −0.420368 | − | 0.174122i | ||||
\(574\) | −3.38179 | − | 10.8564i | −0.141153 | − | 0.453136i | ||||
\(575\) | −7.07656 | −0.295113 | ||||||||
\(576\) | −12.9069 | + | 21.3218i | −0.537787 | + | 0.888407i | ||||
\(577\) | −37.8988 | −1.57775 | −0.788875 | − | 0.614554i | \(-0.789336\pi\) | ||||
−0.788875 | + | 0.614554i | \(0.789336\pi\) | |||||||
\(578\) | −3.03983 | − | 9.75858i | −0.126440 | − | 0.405904i | ||||
\(579\) | −53.2618 | − | 22.0618i | −2.21349 | − | 0.916856i | ||||
\(580\) | 11.6830 | + | 16.9330i | 0.485111 | + | 0.703105i | ||||
\(581\) | −1.91430 | − | 4.62153i | −0.0794186 | − | 0.191733i | ||||
\(582\) | 4.38396 | − | 48.1900i | 0.181721 | − | 1.99754i | ||||
\(583\) | −29.8520 | + | 29.8520i | −1.23634 | + | 1.23634i | ||||
\(584\) | −5.13998 | − | 42.4377i | −0.212694 | − | 1.75609i | ||||
\(585\) | 7.38706 | + | 7.38706i | 0.305417 | + | 0.305417i | ||||
\(586\) | −8.13679 | + | 6.77979i | −0.336127 | + | 0.280070i | ||||
\(587\) | 11.7280 | − | 4.85788i | 0.484065 | − | 0.200506i | −0.127286 | − | 0.991866i | \(-0.540627\pi\) |
0.611351 | + | 0.791360i | \(0.290627\pi\) | |||||||
\(588\) | 1.03709 | + | 4.83595i | 0.0427688 | + | 0.199431i | ||||
\(589\) | 3.40655 | − | 8.22413i | 0.140364 | − | 0.338869i | ||||
\(590\) | 8.41800 | + | 4.41918i | 0.346563 | + | 0.181935i | ||||
\(591\) | − | 32.7815i | − | 1.34845i | ||||||
\(592\) | −25.8348 | + | 0.770323i | −1.06180 | + | 0.0316601i | ||||
\(593\) | − | 15.4713i | − | 0.635332i | −0.948203 | − | 0.317666i | \(-0.897101\pi\) | ||
0.948203 | − | 0.317666i | \(-0.102899\pi\) | |||||||
\(594\) | 0.587729 | − | 1.11955i | 0.0241148 | − | 0.0459358i | ||||
\(595\) | 1.39428 | − | 3.36610i | 0.0571601 | − | 0.137997i | ||||
\(596\) | −6.46868 | + | 10.0006i | −0.264968 | + | 0.409639i | ||||
\(597\) | −52.6257 | + | 21.7983i | −2.15383 | + | 0.892145i | ||||
\(598\) | 5.06133 | + | 6.07437i | 0.206973 | + | 0.248399i | ||||
\(599\) | −15.5082 | − | 15.5082i | −0.633646 | − | 0.633646i | 0.315334 | − | 0.948981i | \(-0.397883\pi\) |
−0.948981 | + | 0.315334i | \(0.897883\pi\) | |||||||
\(600\) | 24.5341 | + | 6.84732i | 1.00160 | + | 0.279541i | ||||
\(601\) | −7.57636 | + | 7.57636i | −0.309046 | + | 0.309046i | −0.844539 | − | 0.535493i | \(-0.820126\pi\) |
0.535493 | + | 0.844539i | \(0.320126\pi\) | |||||||
\(602\) | 8.59663 | + | 0.782056i | 0.350373 | + | 0.0318742i | ||||
\(603\) | 10.7058 | + | 25.8461i | 0.435975 | + | 1.05254i | ||||
\(604\) | −4.15186 | − | 0.761712i | −0.168937 | − | 0.0309936i | ||||
\(605\) | −1.29324 | − | 0.535679i | −0.0525778 | − | 0.0217785i | ||||
\(606\) | 11.3500 | − | 3.53556i | 0.461063 | − | 0.143623i | ||||
\(607\) | −3.66019 | −0.148562 | −0.0742812 | − | 0.997237i | \(-0.523666\pi\) | ||||
−0.0742812 | + | 0.997237i | \(0.523666\pi\) | |||||||
\(608\) | 10.6199 | − | 21.7836i | 0.430694 | − | 0.883440i | ||||
\(609\) | 21.8254 | 0.884411 | ||||||||
\(610\) | 8.34363 | − | 2.59907i | 0.337824 | − | 0.105233i | ||||
\(611\) | 22.3769 | + | 9.26882i | 0.905273 | + | 0.374976i | ||||
\(612\) | 3.51498 | − | 19.1591i | 0.142085 | − | 0.774459i | ||||
\(613\) | 8.44469 | + | 20.3873i | 0.341078 | + | 0.823434i | 0.997607 | + | 0.0691341i | \(0.0220236\pi\) |
−0.656530 | + | 0.754300i | \(0.727976\pi\) | |||||||
\(614\) | −13.5292 | − | 1.23079i | −0.545995 | − | 0.0496705i | ||||
\(615\) | 16.3865 | − | 16.3865i | 0.660769 | − | 0.660769i | ||||
\(616\) | −7.71320 | + | 4.34721i | −0.310774 | + | 0.175154i | ||||
\(617\) | −24.7446 | − | 24.7446i | −0.996179 | − | 0.996179i | 0.00381394 | − | 0.999993i | \(-0.498786\pi\) |
−0.999993 | + | 0.00381394i | \(0.998786\pi\) | |||||||
\(618\) | −29.5276 | − | 35.4377i | −1.18778 | − | 1.42551i | ||||
\(619\) | 4.13930 | − | 1.71455i | 0.166373 | − | 0.0689138i | −0.297943 | − | 0.954584i | \(-0.596300\pi\) |
0.464315 | + | 0.885670i | \(0.346300\pi\) | |||||||
\(620\) | 4.06683 | + | 2.63055i | 0.163328 | + | 0.105646i | ||||
\(621\) | 0.212402 | − | 0.512785i | 0.00852342 | − | 0.0205773i | ||||
\(622\) | 10.7009 | − | 20.3840i | 0.429069 | − | 0.817324i | ||||
\(623\) | 8.19511i | 0.328330i | ||||||||
\(624\) | −11.6698 | − | 25.9569i | −0.467166 | − | 1.03911i | ||||
\(625\) | − | 6.46981i | − | 0.258792i | ||||||
\(626\) | −8.04713 | − | 4.22448i | −0.321628 | − | 0.168844i | ||||
\(627\) | −12.6912 | + | 30.6393i | −0.506838 | + | 1.22361i | ||||
\(628\) | −15.4689 | + | 3.31736i | −0.617277 | + | 0.132377i | ||||
\(629\) | 18.6620 | − | 7.73005i | 0.744102 | − | 0.308217i | ||||
\(630\) | −3.94510 | + | 3.28717i | −0.157177 | + | 0.130964i | ||||
\(631\) | 12.1989 | + | 12.1989i | 0.485630 | + | 0.485630i | 0.906924 | − | 0.421294i | \(-0.138424\pi\) |
−0.421294 | + | 0.906924i | \(0.638424\pi\) | |||||||
\(632\) | −10.1476 | + | 12.9444i | −0.403648 | + | 0.514901i | ||||
\(633\) | 12.7189 | − | 12.7189i | 0.505532 | − | 0.505532i | ||||
\(634\) | −0.174763 | + | 1.92106i | −0.00694073 | + | 0.0762949i | ||||
\(635\) | 5.60195 | + | 13.5243i | 0.222307 | + | 0.536696i | ||||
\(636\) | 54.9030 | − | 37.8806i | 2.17704 | − | 1.50206i | ||||
\(637\) | −2.65808 | − | 1.10101i | −0.105317 | − | 0.0436237i | ||||
\(638\) | 11.6199 | + | 37.3028i | 0.460038 | + | 1.47683i | ||||
\(639\) | 28.0144 | 1.10823 | ||||||||
\(640\) | 10.6152 | + | 7.82223i | 0.419602 | + | 0.309201i | ||||
\(641\) | 15.1205 | 0.597222 | 0.298611 | − | 0.954375i | \(-0.403477\pi\) | ||||
0.298611 | + | 0.954375i | \(0.403477\pi\) | |||||||
\(642\) | 17.7792 | + | 57.0756i | 0.701690 | + | 2.25259i | ||||
\(643\) | −26.5412 | − | 10.9937i | −1.04668 | − | 0.433550i | −0.207975 | − | 0.978134i | \(-0.566687\pi\) |
−0.838706 | + | 0.544584i | \(0.816687\pi\) | |||||||
\(644\) | −3.19894 | + | 2.20713i | −0.126056 | + | 0.0869729i | ||||
\(645\) | 6.73233 | + | 16.2533i | 0.265085 | + | 0.639972i | ||||
\(646\) | −1.71592 | + | 18.8620i | −0.0675120 | + | 0.742115i | ||||
\(647\) | 3.63894 | − | 3.63894i | 0.143061 | − | 0.143061i | −0.631949 | − | 0.775010i | \(-0.717745\pi\) |
0.775010 | + | 0.631949i | \(0.217745\pi\) | |||||||
\(648\) | 15.0772 | − | 19.2327i | 0.592287 | − | 0.755533i | ||||
\(649\) | 12.7679 | + | 12.7679i | 0.501182 | + | 0.501182i | ||||
\(650\) | −11.3835 | + | 9.48500i | −0.446496 | + | 0.372032i | ||||
\(651\) | 4.74732 | − | 1.96641i | 0.186062 | − | 0.0770695i | ||||
\(652\) | 33.5196 | − | 7.18841i | 1.31273 | − | 0.281520i | ||||
\(653\) | 4.41810 | − | 10.6662i | 0.172894 | − | 0.417402i | −0.813552 | − | 0.581493i | \(-0.802469\pi\) |
0.986445 | + | 0.164090i | \(0.0524689\pi\) | |||||||
\(654\) | −1.24767 | − | 0.654988i | −0.0487879 | − | 0.0256121i | ||||
\(655\) | 3.54715i | 0.138598i | ||||||||
\(656\) | −29.3336 | + | 13.1879i | −1.14528 | + | 0.514901i | ||||
\(657\) | − | 47.0866i | − | 1.83702i | ||||||
\(658\) | −5.53381 | + | 10.5412i | −0.215730 | + | 0.410940i | ||||
\(659\) | 5.89751 | − | 14.2379i | 0.229735 | − | 0.554628i | −0.766410 | − | 0.642351i | \(-0.777959\pi\) |
0.996145 | + | 0.0877230i | \(0.0279590\pi\) | |||||||
\(660\) | −15.1511 | − | 9.80021i | −0.589756 | − | 0.381473i | ||||
\(661\) | −7.51647 | + | 3.11342i | −0.292357 | + | 0.121098i | −0.524041 | − | 0.851693i | \(-0.675576\pi\) |
0.231685 | + | 0.972791i | \(0.425576\pi\) | |||||||
\(662\) | −6.76343 | − | 8.11715i | −0.262868 | − | 0.315482i | ||||
\(663\) | 15.7275 | + | 15.7275i | 0.610804 | + | 0.610804i | ||||
\(664\) | −12.3258 | + | 6.94691i | −0.478334 | + | 0.269592i | ||||
\(665\) | 3.53060 | − | 3.53060i | 0.136911 | − | 0.136911i | ||||
\(666\) | −28.3524 | − | 2.57929i | −1.09863 | − | 0.0999454i | ||||
\(667\) | 6.56313 | + | 15.8448i | 0.254125 | + | 0.613513i | ||||
\(668\) | −5.65872 | + | 30.8439i | −0.218943 | + | 1.19339i | ||||
\(669\) | 47.7670 | + | 19.7857i | 1.84678 | + | 0.764960i | ||||
\(670\) | 14.1307 | − | 4.40176i | 0.545917 | − | 0.170055i | ||||
\(671\) | 16.5972 | 0.640726 | ||||||||
\(672\) | 13.2262 | − | 4.55670i | 0.510212 | − | 0.175778i | ||||
\(673\) | 18.3122 | 0.705883 | 0.352942 | − | 0.935645i | \(-0.385181\pi\) | ||||
0.352942 | + | 0.935645i | \(0.385181\pi\) | |||||||
\(674\) | −28.1441 | + | 8.76697i | −1.08407 | + | 0.337691i | ||||
\(675\) | 0.960966 | + | 0.398045i | 0.0369876 | + | 0.0153208i | ||||
\(676\) | −9.28974 | − | 1.70432i | −0.357298 | − | 0.0655510i | ||||
\(677\) | 7.06192 | + | 17.0490i | 0.271412 | + | 0.655246i | 0.999544 | − | 0.0301906i | \(-0.00961144\pi\) |
−0.728132 | + | 0.685436i | \(0.759611\pi\) | |||||||
\(678\) | 11.1020 | + | 1.00998i | 0.426371 | + | 0.0387880i | ||||
\(679\) | −9.78364 | + | 9.78364i | −0.375462 | + | 0.375462i | ||||
\(680\) | −9.92588 | − | 2.77025i | −0.380640 | − | 0.106234i | ||||
\(681\) | −1.54675 | − | 1.54675i | −0.0592716 | − | 0.0592716i | ||||
\(682\) | 5.88837 | + | 7.06694i | 0.225477 | + | 0.270607i | ||||
\(683\) | 27.6298 | − | 11.4446i | 1.05722 | − | 0.437917i | 0.214759 | − | 0.976667i | \(-0.431103\pi\) |
0.842466 | + | 0.538750i | \(0.181103\pi\) | |||||||
\(684\) | 14.4980 | − | 22.4139i | 0.554345 | − | 0.857016i | ||||
\(685\) | 3.20967 | − | 7.74883i | 0.122635 | − | 0.296068i | ||||
\(686\) | 0.657343 | − | 1.25216i | 0.0250975 | − | 0.0478076i | ||||
\(687\) | 28.2346i | 1.07722i | ||||||||
\(688\) | −0.727677 | − | 24.4045i | −0.0277424 | − | 0.930413i | ||||
\(689\) | 38.8017i | 1.47823i | ||||||||
\(690\) | −7.01304 | − | 3.68162i | −0.266982 | − | 0.140157i | ||||
\(691\) | 12.0259 | − | 29.0332i | 0.457489 | − | 1.10448i | −0.511922 | − | 0.859032i | \(-0.671066\pi\) |
0.969411 | − | 0.245443i | \(-0.0789335\pi\) | |||||||
\(692\) | −6.41941 | − | 29.9338i | −0.244029 | − | 1.13791i | ||||
\(693\) | −9.01017 | + | 3.73213i | −0.342268 | + | 0.141772i | ||||
\(694\) | −25.7400 | + | 21.4473i | −0.977078 | + | 0.814127i | ||||
\(695\) | −12.9785 | − | 12.9785i | −0.492303 | − | 0.492303i | ||||
\(696\) | −7.42258 | − | 61.2837i | −0.281352 | − | 2.32295i | ||||
\(697\) | 17.7734 | − | 17.7734i | 0.673215 | − | 0.673215i | ||||
\(698\) | 1.02445 | − | 11.2611i | 0.0387759 | − | 0.426238i | ||||
\(699\) | 20.2792 | + | 48.9584i | 0.767031 | + | 1.85178i | ||||
\(700\) | −4.13618 | − | 5.99486i | −0.156333 | − | 0.226584i | ||||
\(701\) | 6.59341 | + | 2.73108i | 0.249030 | + | 0.103151i | 0.503707 | − | 0.863875i | \(-0.331969\pi\) |
−0.254677 | + | 0.967026i | \(0.581969\pi\) | |||||||
\(702\) | −0.345633 | − | 1.10956i | −0.0130451 | − | 0.0418778i | ||||
\(703\) | 27.6818 | 1.04404 | ||||||||
\(704\) | 14.8297 | + | 20.1795i | 0.558917 | + | 0.760543i | ||||
\(705\) | −24.2636 | −0.913819 | ||||||||
\(706\) | −10.0485 | − | 32.2580i | −0.378179 | − | 1.21405i | ||||
\(707\) | −3.14044 | − | 1.30081i | −0.118109 | − | 0.0489221i | ||||
\(708\) | −16.2017 | − | 23.4823i | −0.608898 | − | 0.882518i | ||||
\(709\) | 2.61002 | + | 6.30114i | 0.0980212 | + | 0.236644i | 0.965282 | − | 0.261210i | \(-0.0841215\pi\) |
−0.867261 | + | 0.497854i | \(0.834122\pi\) | |||||||
\(710\) | 1.34275 | − | 14.7600i | 0.0503925 | − | 0.553932i | ||||
\(711\) | −12.8108 | + | 12.8108i | −0.480442 | + | 0.480442i | ||||
\(712\) | 23.0111 | − | 2.78706i | 0.862377 | − | 0.104450i | ||||
\(713\) | 2.85514 | + | 2.85514i | 0.106926 | + | 0.106926i | ||||
\(714\) | −8.39934 | + | 6.99856i | −0.314337 | + | 0.261914i | ||||
\(715\) | 9.69760 | − | 4.01688i | 0.362670 | − | 0.150223i | ||||
\(716\) | −10.4651 | − | 48.7989i | −0.391099 | − | 1.82370i | ||||
\(717\) | 1.50841 | − | 3.64162i | 0.0563326 | − | 0.135999i | ||||
\(718\) | −9.79651 | − | 5.14285i | −0.365602 | − | 0.191930i | ||||
\(719\) | − | 2.43833i | − | 0.0909345i | −0.998966 | − | 0.0454672i | \(-0.985522\pi\) | ||
0.998966 | − | 0.0454672i | \(-0.0144777\pi\) | |||||||
\(720\) | 10.5717 | + | 9.95955i | 0.393985 | + | 0.371171i | ||||
\(721\) | 13.1894i | 0.491199i | ||||||||
\(722\) | 0.425100 | − | 0.809764i | 0.0158206 | − | 0.0301363i | ||||
\(723\) | 6.40746 | − | 15.4690i | 0.238296 | − | 0.575298i | ||||
\(724\) | −20.1022 | + | 31.0779i | −0.747091 | + | 1.15500i | ||||
\(725\) | −29.6934 | + | 12.2994i | −1.10278 | + | 0.456788i | ||||
\(726\) | 2.68882 | + | 3.22700i | 0.0997915 | + | 0.119765i | ||||
\(727\) | −29.3111 | − | 29.3111i | −1.08709 | − | 1.08709i | −0.995827 | − | 0.0912633i | \(-0.970910\pi\) |
−0.0912633 | − | 0.995827i | \(-0.529090\pi\) | |||||||
\(728\) | −2.18756 | + | 7.83808i | −0.0810762 | + | 0.290498i | ||||
\(729\) | 20.5326 | − | 20.5326i | 0.760465 | − | 0.760465i | ||||
\(730\) | −24.8086 | − | 2.25689i | −0.918206 | − | 0.0835314i | ||||
\(731\) | 7.30210 | + | 17.6288i | 0.270078 | + | 0.652026i | ||||
\(732\) | −25.7930 | − | 4.73205i | −0.953335 | − | 0.174902i | ||||
\(733\) | −19.4096 | − | 8.03973i | −0.716910 | − | 0.296954i | −0.00574973 | − | 0.999983i | \(-0.501830\pi\) |
−0.711161 | + | 0.703029i | \(0.751830\pi\) | |||||||
\(734\) | 17.0166 | − | 5.30072i | 0.628093 | − | 0.195653i | ||||
\(735\) | 2.88219 | 0.106311 | ||||||||
\(736\) | 7.28532 | + | 8.23170i | 0.268541 | + | 0.303425i | ||||
\(737\) | 28.1088 | 1.03540 | ||||||||
\(738\) | −33.8230 | + | 10.5360i | −1.24504 | + | 0.387835i | ||||
\(739\) | 5.41654 | + | 2.24361i | 0.199251 | + | 0.0825324i | 0.480077 | − | 0.877226i | \(-0.340609\pi\) |
−0.280827 | + | 0.959759i | \(0.590609\pi\) | |||||||
\(740\) | −2.71790 | + | 14.8144i | −0.0999121 | + | 0.544590i | ||||
\(741\) | 11.6645 | + | 28.1605i | 0.428505 | + | 1.03450i | ||||
\(742\) | −18.9943 | − | 1.72796i | −0.697304 | − | 0.0634354i | ||||
\(743\) | 13.9385 | − | 13.9385i | 0.511355 | − | 0.511355i | −0.403586 | − | 0.914942i | \(-0.632237\pi\) |
0.914942 | + | 0.403586i | \(0.132237\pi\) | |||||||
\(744\) | −7.13599 | − | 12.6613i | −0.261618 | − | 0.464185i | ||||
\(745\) | 4.90777 | + | 4.90777i | 0.179807 | + | 0.179807i | ||||
\(746\) | 15.7941 | + | 18.9554i | 0.578264 | + | 0.694005i | ||||
\(747\) | −14.3984 | + | 5.96400i | −0.526809 | + | 0.218211i | ||||
\(748\) | −16.4334 | − | 10.6296i | −0.600864 | − | 0.388658i | ||||
\(749\) | 6.54138 | − | 15.7923i | 0.239017 | − | 0.577038i | ||||
\(750\) | 16.3723 | − | 31.1873i | 0.597833 | − | 1.13880i | ||||
\(751\) | − | 3.64201i | − | 0.132899i | −0.997790 | − | 0.0664494i | \(-0.978833\pi\) | ||
0.997790 | − | 0.0664494i | \(-0.0211671\pi\) | |||||||
\(752\) | 31.4808 | + | 11.9535i | 1.14799 | + | 0.435898i | ||||
\(753\) | 72.9285i | 2.65766i | ||||||||
\(754\) | 31.7950 | + | 16.6913i | 1.15790 | + | 0.607862i | ||||
\(755\) | −0.941341 | + | 2.27260i | −0.0342589 | + | 0.0827083i | ||||
\(756\) | 0.558549 | − | 0.119783i | 0.0203142 | − | 0.00435646i | ||||
\(757\) | −15.5760 | + | 6.45181i | −0.566121 | + | 0.234495i | −0.647340 | − | 0.762201i | \(-0.724119\pi\) |
0.0812192 | + | 0.996696i | \(0.474119\pi\) | |||||||
\(758\) | 6.92935 | − | 5.77372i | 0.251685 | − | 0.209711i | ||||
\(759\) | −10.6369 | − | 10.6369i | −0.386095 | − | 0.386095i | ||||
\(760\) | −11.1143 | − | 8.71288i | −0.403159 | − | 0.316049i | ||||
\(761\) | −6.25525 | + | 6.25525i | −0.226753 | + | 0.226753i | −0.811335 | − | 0.584582i | \(-0.801259\pi\) |
0.584582 | + | 0.811335i | \(0.301259\pi\) | |||||||
\(762\) | 3.97964 | − | 43.7456i | 0.144167 | − | 1.58474i | ||||
\(763\) | 0.154193 | + | 0.372256i | 0.00558217 | + | 0.0134766i | ||||
\(764\) | 7.25032 | − | 5.00240i | 0.262307 | − | 0.180980i | ||||
\(765\) | −10.4871 | − | 4.34389i | −0.379161 | − | 0.157054i | ||||
\(766\) | 1.35763 | + | 4.35831i | 0.0490531 | + | 0.157472i | ||||
\(767\) | 16.5957 | 0.599236 | ||||||||
\(768\) | −17.2929 | − | 35.5883i | −0.624002 | − | 1.28418i | ||||
\(769\) | −3.13768 | −0.113148 | −0.0565739 | − | 0.998398i | \(-0.518018\pi\) | ||||
−0.0565739 | + | 0.998398i | \(0.518018\pi\) | |||||||
\(770\) | 1.53449 | + | 4.92608i | 0.0552991 | + | 0.177524i | ||||
\(771\) | 5.65875 | + | 2.34393i | 0.203795 | + | 0.0844147i | ||||
\(772\) | 38.3765 | − | 26.4781i | 1.38120 | − | 0.952968i | ||||
\(773\) | −11.0890 | − | 26.7712i | −0.398844 | − | 0.962895i | −0.987941 | − | 0.154832i | \(-0.950516\pi\) |
0.589097 | − | 0.808062i | \(-0.299484\pi\) | |||||||
\(774\) | 2.43650 | − | 26.7828i | 0.0875780 | − | 0.962688i | ||||
\(775\) | −5.35057 | + | 5.35057i | −0.192198 | + | 0.192198i | ||||
\(776\) | 30.7988 | + | 24.1442i | 1.10561 | + | 0.866728i | ||||
\(777\) | 11.2990 | + | 11.2990i | 0.405348 | + | 0.405348i | ||||
\(778\) | 7.00481 | − | 5.83660i | 0.251135 | − | 0.209252i | ||||
\(779\) | 31.8238 | − | 13.1819i | 1.14021 | − | 0.472289i | ||||
\(780\) | −16.2159 | + | 3.47756i | −0.580622 | + | 0.124517i | ||||
\(781\) | 10.7717 | − | 26.0051i | 0.385441 | − | 0.930537i | ||||
\(782\) | −7.60657 | − | 3.99321i | −0.272011 | − | 0.142797i | ||||
\(783\) | − | 2.52082i | − | 0.0900867i | ||||||
\(784\) | −3.73950 | − | 1.41991i | −0.133554 | − | 0.0507112i | ||||
\(785\) | 9.21934i | 0.329053i | ||||||||
\(786\) | 4.94744 | − | 9.42427i | 0.176469 | − | 0.336153i | ||||
\(787\) | 1.45934 | − | 3.52317i | 0.0520200 | − | 0.125587i | −0.895733 | − | 0.444592i | \(-0.853349\pi\) |
0.947753 | + | 0.319005i | \(0.103349\pi\) | |||||||
\(788\) | 22.2610 | + | 14.3991i | 0.793015 | + | 0.512947i | ||||
\(789\) | 12.6735 | − | 5.24952i | 0.451187 | − | 0.186888i | ||||
\(790\) | 6.13560 | + | 7.36366i | 0.218295 | + | 0.261987i | ||||
\(791\) | −2.25396 | − | 2.25396i | −0.0801417 | − | 0.0801417i | ||||
\(792\) | 13.5437 | + | 24.0305i | 0.481256 | + | 0.853885i | ||||
\(793\) | 10.7865 | − | 10.7865i | 0.383040 | − | 0.383040i | ||||
\(794\) | −45.9383 | − | 4.17912i | −1.63029 | − | 0.148311i | ||||
\(795\) | −14.8751 | − | 35.9118i | −0.527567 | − | 1.27366i | ||||
\(796\) | 8.31298 | − | 45.3115i | 0.294646 | − | 1.60602i | ||||
\(797\) | −13.0235 | − | 5.39450i | −0.461315 | − | 0.191083i | 0.139907 | − | 0.990165i | \(-0.455320\pi\) |
−0.601223 | + | 0.799082i | \(0.705320\pi\) | |||||||
\(798\) | −14.3047 | + | 4.45595i | −0.506380 | + | 0.157739i | ||||
\(799\) | −26.3171 | −0.931031 | ||||||||
\(800\) | −15.4263 | + | 13.6528i | −0.545403 | + | 0.482699i | ||||
\(801\) | 25.5319 | 0.902124 | ||||||||
\(802\) | 38.3040 | − | 11.9318i | 1.35256 | − | 0.421327i | ||||
\(803\) | −43.7094 | − | 18.1050i | −1.54247 | − | 0.638913i | ||||
\(804\) | −43.6827 | − | 8.01417i | −1.54057 | − | 0.282638i | ||||
\(805\) | 0.866704 | + | 2.09241i | 0.0305473 | + | 0.0737477i | ||||
\(806\) | 8.41967 | + | 0.765957i | 0.296570 | + | 0.0269797i | ||||
\(807\) | −43.2017 | + | 43.2017i | −1.52077 | + | 1.52077i | ||||
\(808\) | −2.58454 | + | 9.26046i | −0.0909236 | + | 0.325782i | ||||
\(809\) | 12.4277 | + | 12.4277i | 0.436933 | + | 0.436933i | 0.890979 | − | 0.454045i | \(-0.150020\pi\) |
−0.454045 | + | 0.890979i | \(0.650020\pi\) | |||||||
\(810\) | −9.11624 | − | 10.9409i | −0.320312 | − | 0.384424i | ||||
\(811\) | −3.60653 | + | 1.49387i | −0.126642 | + | 0.0524570i | −0.445105 | − | 0.895479i | \(-0.646834\pi\) |
0.318462 | + | 0.947936i | \(0.396834\pi\) | |||||||
\(812\) | −9.58671 | + | 14.8210i | −0.336428 | + | 0.520117i | ||||
\(813\) | −15.3830 | + | 37.1378i | −0.539505 | + | 1.30248i | ||||
\(814\) | −13.2959 | + | 25.3272i | −0.466023 | + | 0.887717i | ||||
\(815\) | − | 19.9774i | − | 0.699779i | ||||||
\(816\) | 22.5078 | + | 21.2044i | 0.787931 | + | 0.742304i | ||||
\(817\) | 26.1493i | 0.914849i | ||||||||
\(818\) | −3.71423 | − | 1.94985i | −0.129865 | − | 0.0681749i | ||||
\(819\) | −3.43020 | + | 8.28124i | −0.119861 | + | 0.289370i | ||||
\(820\) | 3.92994 | + | 18.3254i | 0.137239 | + | 0.639949i | ||||
\(821\) | 6.08026 | − | 2.51853i | 0.212203 | − | 0.0878972i | −0.274050 | − | 0.961715i | \(-0.588363\pi\) |
0.486253 | + | 0.873818i | \(0.338363\pi\) | |||||||
\(822\) | −19.3355 | + | 16.1108i | −0.674402 | + | 0.561930i | ||||
\(823\) | −16.9010 | − | 16.9010i | −0.589133 | − | 0.589133i | 0.348263 | − | 0.937397i | \(-0.386772\pi\) |
−0.937397 | + | 0.348263i | \(0.886772\pi\) | |||||||
\(824\) | 37.0346 | − | 4.48557i | 1.29016 | − | 0.156262i | ||||
\(825\) | 19.9337 | − | 19.9337i | 0.694003 | − | 0.694003i | ||||
\(826\) | −0.739057 | + | 8.12397i | −0.0257151 | + | 0.282669i | ||||
\(827\) | −9.82853 | − | 23.7282i | −0.341772 | − | 0.825109i | −0.997537 | − | 0.0701446i | \(-0.977654\pi\) |
0.655765 | − | 0.754965i | \(-0.272346\pi\) | |||||||
\(828\) | 6.87630 | + | 9.96629i | 0.238968 | + | 0.346352i | ||||
\(829\) | 7.52107 | + | 3.11533i | 0.261217 | + | 0.108200i | 0.509449 | − | 0.860501i | \(-0.329849\pi\) |
−0.248231 | + | 0.968701i | \(0.579849\pi\) | |||||||
\(830\) | 2.45214 | + | 7.87195i | 0.0851149 | + | 0.273239i | ||||
\(831\) | −68.5671 | −2.37856 | ||||||||
\(832\) | 22.7525 | + | 3.47681i | 0.788803 | + | 0.120537i | ||||
\(833\) | 3.12612 | 0.108314 | ||||||||
\(834\) | 16.3801 | + | 52.5840i | 0.567196 | + | 1.82084i | ||||
\(835\) | 16.8830 | + | 6.99318i | 0.584261 | + | 0.242009i | ||||
\(836\) | −15.2317 | − | 22.0764i | −0.526801 | − | 0.763528i | ||||
\(837\) | −0.227118 | − | 0.548312i | −0.00785036 | − | 0.0189524i | ||||
\(838\) | −4.75366 | + | 52.2539i | −0.164212 | + | 1.80508i | ||||
\(839\) | 5.31442 | − | 5.31442i | 0.183474 | − | 0.183474i | −0.609394 | − | 0.792868i | \(-0.708587\pi\) |
0.792868 | + | 0.609394i | \(0.208587\pi\) | |||||||
\(840\) | −0.980200 | − | 8.09292i | −0.0338201 | − | 0.279232i | ||||
\(841\) | 34.5719 | + | 34.5719i | 1.19213 | + | 1.19213i | ||||
\(842\) | −9.27917 | + | 7.73165i | −0.319781 | + | 0.266450i | ||||
\(843\) | −25.5203 | + | 10.5708i | −0.878965 | + | 0.364079i | ||||
\(844\) | 3.05035 | + | 14.2238i | 0.104997 | + | 0.489604i | ||||
\(845\) | −2.10624 | + | 5.08492i | −0.0724570 | + | 0.174927i | ||||
\(846\) | 32.8412 | + | 17.2406i | 1.12910 | + | 0.592743i | ||||
\(847\) | − | 1.20104i | − | 0.0412683i | ||||||
\(848\) | 1.60781 | + | 53.9220i | 0.0552124 | + | 1.85169i | ||||
\(849\) | − | 44.3039i | − | 1.52051i | ||||||
\(850\) | 7.48333 | − | 14.2548i | 0.256676 | − | 0.488937i | ||||
\(851\) | −4.80509 | + | 11.6005i | −0.164716 | + | 0.397661i | ||||
\(852\) | −24.1542 | + | 37.3424i | −0.827509 | + | 1.27933i | ||||
\(853\) | 13.4135 | − | 5.55607i | 0.459271 | − | 0.190236i | −0.141039 | − | 0.990004i | \(-0.545044\pi\) |
0.600309 | + | 0.799768i | \(0.295044\pi\) | |||||||
\(854\) | 4.79989 | + | 5.76060i | 0.164249 | + | 0.197124i | ||||
\(855\) | −10.9996 | − | 10.9996i | −0.376178 | − | 0.376178i | ||||
\(856\) | −46.5679 | − | 12.9968i | −1.59166 | − | 0.444222i | ||||
\(857\) | −23.3970 | + | 23.3970i | −0.799226 | + | 0.799226i | −0.982973 | − | 0.183748i | \(-0.941177\pi\) |
0.183748 | + | 0.982973i | \(0.441177\pi\) | |||||||
\(858\) | −31.3678 | − | 2.85360i | −1.07088 | − | 0.0974203i | ||||
\(859\) | 16.5674 | + | 39.9974i | 0.565274 | + | 1.36469i | 0.905499 | + | 0.424348i | \(0.139497\pi\) |
−0.340225 | + | 0.940344i | \(0.610503\pi\) | |||||||
\(860\) | −13.9943 | − | 2.56744i | −0.477202 | − | 0.0875489i | ||||
\(861\) | 18.3701 | + | 7.60914i | 0.626051 | + | 0.259319i | ||||
\(862\) | −10.9239 | + | 3.40281i | −0.372068 | + | 0.115900i | ||||
\(863\) | −53.8841 | −1.83424 | −0.917118 | − | 0.398615i | \(-0.869491\pi\) | ||||
−0.917118 | + | 0.398615i | \(0.869491\pi\) | |||||||
\(864\) | −0.526295 | − | 1.52762i | −0.0179049 | − | 0.0519706i | ||||
\(865\) | −17.8403 | −0.606589 | ||||||||
\(866\) | 1.29602 | − | 0.403715i | 0.0440406 | − | 0.0137188i | ||||
\(867\) | 16.5125 | + | 6.83971i | 0.560794 | + | 0.232289i | ||||
\(868\) | −0.749907 | + | 4.08751i | −0.0254535 | + | 0.138739i | ||||
\(869\) | 6.96615 | + | 16.8178i | 0.236310 | + | 0.570504i | ||||
\(870\) | −35.8257 | − | 3.25915i | −1.21460 | − | 0.110495i | ||||
\(871\) | 18.2680 | − | 18.2680i | 0.618986 | − | 0.618986i | ||||
\(872\) | 0.992819 | − | 0.559560i | 0.0336211 | − | 0.0189491i | ||||
\(873\) | 30.4809 | + | 30.4809i | 1.03162 | + | 1.03162i | ||||
\(874\) | −7.53649 | − | 9.04494i | −0.254926 | − | 0.305950i | ||||
\(875\) | −9.30504 | + | 3.85427i | −0.314568 | + | 0.130298i | ||||
\(876\) | 62.7650 | + | 40.5984i | 2.12063 | + | 1.37169i | ||||
\(877\) | −9.74506 | + | 23.5266i | −0.329067 | + | 0.794438i | 0.669595 | + | 0.742727i | \(0.266468\pi\) |
−0.998662 | + | 0.0517119i | \(0.983532\pi\) | |||||||
\(878\) | 1.11065 | − | 2.11565i | 0.0374826 | − | 0.0713998i | ||||
\(879\) | − | 18.5202i | − | 0.624670i | ||||||
\(880\) | 13.3101 | − | 5.98401i | 0.448684 | − | 0.201721i | ||||
\(881\) | − | 41.2930i | − | 1.39120i | −0.718431 | − | 0.695598i | \(-0.755139\pi\) | ||
0.718431 | − | 0.695598i | \(-0.244861\pi\) | |||||||
\(882\) | −3.90110 | − | 2.04795i | −0.131357 | − | 0.0689581i | ||||
\(883\) | 9.58604 | − | 23.1427i | 0.322596 | − | 0.778815i | −0.676506 | − | 0.736437i | \(-0.736507\pi\) |
0.999102 | − | 0.0423780i | \(-0.0134934\pi\) | |||||||
\(884\) | −17.5883 | + | 3.77187i | −0.591558 | + | 0.126862i | ||||
\(885\) | −15.3596 | + | 6.36217i | −0.516308 | + | 0.213862i | ||||
\(886\) | −8.18258 | + | 6.81795i | −0.274899 | + | 0.229053i | ||||
\(887\) | −24.1177 | − | 24.1177i | −0.809795 | − | 0.809795i | 0.174808 | − | 0.984603i | \(-0.444070\pi\) |
−0.984603 | + | 0.174808i | \(0.944070\pi\) | |||||||
\(888\) | 27.8838 | − | 35.5691i | 0.935718 | − | 1.19362i | ||||
\(889\) | −8.88133 | + | 8.88133i | −0.297870 | + | 0.297870i | ||||
\(890\) | 1.22376 | − | 13.4520i | 0.0410205 | − | 0.450912i | ||||
\(891\) | −10.3503 | − | 24.9878i | −0.346747 | − | 0.837121i | ||||
\(892\) | −34.4174 | + | 23.7464i | −1.15238 | + | 0.795090i | ||||
\(893\) | −33.3200 | − | 13.8016i | −1.11501 | − | 0.461853i | ||||
\(894\) | −6.19407 | − | 19.8845i | −0.207161 | − | 0.665036i | ||||
\(895\) | −29.0838 | −0.972163 | ||||||||
\(896\) | −2.71522 | + | 10.9831i | −0.0907091 | + | 0.366918i | ||||
\(897\) | −13.8259 | −0.461633 | ||||||||
\(898\) | −4.47871 | − | 14.3777i | −0.149456 | − | 0.479791i | ||||
\(899\) | 16.9426 | + | 7.01784i | 0.565066 | + | 0.234058i | ||||
\(900\) | −18.6770 | + | 12.8863i | −0.622566 | + | 0.429543i | ||||
\(901\) | −16.1341 | − | 38.9511i | −0.537503 | − | 1.29765i | ||||
\(902\) | −3.22481 | + | 35.4483i | −0.107375 | + | 1.18030i | ||||
\(903\) | −10.6734 | + | 10.6734i | −0.355190 | + | 0.355190i | ||||
\(904\) | −5.56237 | + | 7.09546i | −0.185002 | + | 0.235992i | ||||
\(905\) | 15.2515 | + | 15.2515i | 0.506976 | + | 0.506976i | ||||
\(906\) | 5.67075 | − | 4.72503i | 0.188398 | − | 0.156978i | ||||
\(907\) | −24.1487 | + | 10.0027i | −0.801845 | + | 0.332135i | −0.745695 | − | 0.666287i | \(-0.767882\pi\) |
−0.0561498 | + | 0.998422i | \(0.517882\pi\) | |||||||
\(908\) | 1.72976 | − | 0.370953i | 0.0574040 | − | 0.0123105i | ||||
\(909\) | −4.05268 | + | 9.78405i | −0.134419 | + | 0.324516i | ||||
\(910\) | 4.19873 | + | 2.20420i | 0.139187 | + | 0.0730685i | ||||
\(911\) | − | 41.8675i | − | 1.38713i | −0.720392 | − | 0.693567i | \(-0.756038\pi\) | ||
0.720392 | − | 0.693567i | \(-0.243962\pi\) | |||||||
\(912\) | 17.3768 | + | 38.6508i | 0.575402 | + | 1.27986i | ||||
\(913\) | 15.6589i | 0.518233i | ||||||||
\(914\) | −9.55193 | + | 18.1953i | −0.315950 | + | 0.601846i | ||||
\(915\) | −5.84798 | + | 14.1183i | −0.193328 | + | 0.466736i | ||||
\(916\) | −19.1733 | − | 12.4019i | −0.633505 | − | 0.409771i | ||||
\(917\) | −2.81182 | + | 1.16470i | −0.0928546 | + | 0.0384616i | ||||
\(918\) | 0.808328 | + | 0.970117i | 0.0266788 | + | 0.0320186i | ||||
\(919\) | −36.9292 | − | 36.9292i | −1.21818 | − | 1.21818i | −0.968268 | − | 0.249913i | \(-0.919598\pi\) |
−0.249913 | − | 0.968268i | \(-0.580402\pi\) | |||||||
\(920\) | 5.58053 | − | 3.14523i | 0.183985 | − | 0.103695i | ||||
\(921\) | 16.7977 | − | 16.7977i | 0.553502 | − | 0.553502i | ||||
\(922\) | 42.0942 | + | 3.82941i | 1.38630 | + | 0.126115i | ||||
\(923\) | −9.90024 | − | 23.9013i | −0.325870 | − | 0.786721i | ||||
\(924\) | 2.79380 | − | 15.2282i | 0.0919094 | − | 0.500970i | ||||
\(925\) | −21.7395 | − | 9.00482i | −0.714792 | − | 0.296076i | ||||
\(926\) | 35.5475 | − | 11.0731i | 1.16816 | − | 0.363886i | ||||
\(927\) | 41.0916 | 1.34963 | ||||||||
\(928\) | 44.8764 | + | 21.8781i | 1.47314 | + | 0.718185i | ||||
\(929\) | 36.2365 | 1.18888 | 0.594441 | − | 0.804139i | \(-0.297374\pi\) | ||||
0.594441 | + | 0.804139i | \(0.297374\pi\) | |||||||
\(930\) | −8.08621 | + | 2.51888i | −0.265157 | + | 0.0825973i | ||||
\(931\) | 3.95797 | + | 1.63944i | 0.129717 | + | 0.0537306i | ||||
\(932\) | −42.1539 | − | 7.73368i | −1.38080 | − | 0.253325i | ||||
\(933\) | 15.4059 | + | 37.1930i | 0.504365 | + | 1.21765i | ||||
\(934\) | 11.4086 | + | 1.03786i | 0.373300 | + | 0.0339600i | ||||
\(935\) | −8.06467 | + | 8.06467i | −0.263743 | + | 0.263743i | ||||
\(936\) | 24.4195 | + | 6.81533i | 0.798177 | + | 0.222766i | ||||
\(937\) | 32.2352 | + | 32.2352i | 1.05308 | + | 1.05308i | 0.998510 | + | 0.0545683i | \(0.0173783\pi\) |
0.0545683 | + | 0.998510i | \(0.482622\pi\) | |||||||
\(938\) | 8.12905 | + | 9.75611i | 0.265423 | + | 0.318548i | ||||
\(939\) | 14.6829 | − | 6.08187i | 0.479160 | − | 0.198474i | ||||
\(940\) | 10.6577 | − | 16.4767i | 0.347615 | − | 0.537412i | ||||
\(941\) | 15.4697 | − | 37.3471i | 0.504296 | − | 1.21748i | −0.442826 | − | 0.896607i | \(-0.646024\pi\) |
0.947123 | − | 0.320872i | \(-0.103976\pi\) | |||||||
\(942\) | 12.8588 | − | 24.4945i | 0.418963 | − | 0.798074i | ||||
\(943\) | 15.6244i | 0.508802i | ||||||||
\(944\) | 23.0627 | − | 0.687667i | 0.750627 | − | 0.0223817i | ||||
\(945\) | − | 0.332891i | − | 0.0108289i | ||||||
\(946\) | −23.9250 | − | 12.5599i | −0.777869 | − | 0.408356i | ||||
\(947\) | −5.36081 | + | 12.9421i | −0.174203 | + | 0.420563i | −0.986732 | − | 0.162358i | \(-0.948090\pi\) |
0.812529 | + | 0.582921i | \(0.198090\pi\) | |||||||
\(948\) | −6.03085 | − | 28.1219i | −0.195873 | − | 0.913358i | ||||
\(949\) | −40.1733 | + | 16.6403i | −1.30408 | + | 0.540168i | ||||
\(950\) | 16.9504 | − | 14.1235i | 0.549942 | − | 0.458227i | ||||
\(951\) | −2.38515 | − | 2.38515i | −0.0773438 | − | 0.0773438i | ||||
\(952\) | −1.06316 | − | 8.77784i | −0.0344571 | − | 0.284492i | ||||
\(953\) | 14.9769 | − | 14.9769i | 0.485150 | − | 0.485150i | −0.421622 | − | 0.906772i | \(-0.638539\pi\) |
0.906772 | + | 0.421622i | \(0.138539\pi\) | |||||||
\(954\) | −5.38346 | + | 59.1768i | −0.174296 | + | 1.91592i | ||||
\(955\) | −1.96437 | − | 4.74240i | −0.0635654 | − | 0.153460i | ||||
\(956\) | 1.81036 | + | 2.62388i | 0.0585513 | + | 0.0848625i | ||||
\(957\) | −63.1201 | − | 26.1452i | −2.04038 | − | 0.845155i | ||||
\(958\) | −6.45498 | − | 20.7220i | −0.208551 | − | 0.669499i | ||||
\(959\) | 7.19639 | 0.232383 | ||||||||
\(960\) | −22.3908 | + | 5.50462i | −0.722660 | + | 0.177661i | ||||
\(961\) | −26.6825 | −0.860725 | ||||||||
\(962\) | 7.81911 | + | 25.1012i | 0.252098 | + | 0.809296i | ||||
\(963\) | −49.2009 | − | 20.3797i | −1.58548 | − | 0.656725i | ||||
\(964\) | 7.69012 | + | 11.1458i | 0.247682 | + | 0.358982i | ||||
\(965\) | −10.3975 | − | 25.1019i | −0.334709 | − | 0.808059i | ||||
\(966\) | 0.615709 | − | 6.76809i | 0.0198101 | − | 0.217760i | ||||
\(967\) | −14.9946 | + | 14.9946i | −0.482192 | + | 0.482192i | −0.905831 | − | 0.423639i | \(-0.860753\pi\) |
0.423639 | + | 0.905831i | \(0.360753\pi\) | |||||||
\(968\) | −3.37242 | + | 0.408461i | −0.108394 | + | 0.0131284i | ||||
\(969\) | −23.4187 | − | 23.4187i | −0.752318 | − | 0.752318i | ||||
\(970\) | 17.5205 | − | 14.5985i | 0.562549 | − | 0.468731i | ||||
\(971\) | −22.5036 | + | 9.32129i | −0.722174 | + | 0.299134i | −0.713332 | − | 0.700826i | \(-0.752815\pi\) |
−0.00884264 | + | 0.999961i | \(0.502815\pi\) | |||||||
\(972\) | 9.31995 | + | 43.4591i | 0.298938 | + | 1.39395i | ||||
\(973\) | 6.02660 | − | 14.5495i | 0.193204 | − | 0.466436i | ||||
\(974\) | −37.2420 | − | 19.5508i | −1.19331 | − | 0.626449i | ||||
\(975\) | − | 25.9099i | − | 0.829781i | ||||||
\(976\) | 14.5428 | − | 15.4368i | 0.465505 | − | 0.494118i | ||||
\(977\) | − | 51.3075i | − | 1.64147i | −0.571307 | − | 0.820736i | \(-0.693563\pi\) | ||
0.571307 | − | 0.820736i | \(-0.306437\pi\) | |||||||
\(978\) | −27.8638 | + | 53.0772i | −0.890988 | + | 1.69722i | ||||
\(979\) | 9.81712 | − | 23.7006i | 0.313757 | − | 0.757476i | ||||
\(980\) | −1.26599 | + | 1.95722i | −0.0404405 | + | 0.0625210i | ||||
\(981\) | 1.15976 | − | 0.480389i | 0.0370283 | − | 0.0153376i | ||||
\(982\) | 25.6607 | + | 30.7968i | 0.818865 | + | 0.982764i | ||||
\(983\) | 33.2091 | + | 33.2091i | 1.05921 | + | 1.05921i | 0.998133 | + | 0.0610731i | \(0.0194523\pi\) |
0.0610731 | + | 0.998133i | \(0.480548\pi\) | |||||||
\(984\) | 15.1183 | − | 54.1693i | 0.481954 | − | 1.72685i | ||||
\(985\) | 10.9246 | − | 10.9246i | 0.348085 | − | 0.348085i | ||||
\(986\) | −38.8577 | − | 3.53498i | −1.23748 | − | 0.112577i | ||||
\(987\) | −7.96687 | − | 19.2337i | −0.253588 | − | 0.612217i | ||||
\(988\) | −24.2466 | − | 4.44836i | −0.771387 | − | 0.141521i | ||||
\(989\) | −10.9583 | − | 4.53908i | −0.348454 | − | 0.144334i | ||||
\(990\) | 15.3472 | − | 4.78070i | 0.487766 | − | 0.151941i | ||||
\(991\) | 15.3314 | 0.487018 | 0.243509 | − | 0.969899i | \(-0.421701\pi\) | ||||
0.243509 | + | 0.969899i | \(0.421701\pi\) | |||||||
\(992\) | 11.7324 | + | 0.715554i | 0.372503 | + | 0.0227188i | ||||
\(993\) | 18.4755 | 0.586301 | ||||||||
\(994\) | 12.1411 | − | 3.78200i | 0.385093 | − | 0.119958i | ||||
\(995\) | −24.8021 | − | 10.2734i | −0.786280 | − | 0.325688i | ||||
\(996\) | 4.46454 | − | 24.3348i | 0.141464 | − | 0.771078i | ||||
\(997\) | 9.22040 | + | 22.2600i | 0.292013 | + | 0.704982i | 0.999999 | − | 0.00124443i | \(-0.000396115\pi\) |
−0.707986 | + | 0.706226i | \(0.750396\pi\) | |||||||
\(998\) | 11.6706 | + | 1.06170i | 0.369427 | + | 0.0336076i | ||||
\(999\) | 1.30502 | − | 1.30502i | 0.0412890 | − | 0.0412890i |
(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 | 224.2.u.b.29.4 | ✓ | 40 | |
4.3 | odd | 2 | 896.2.u.b.337.2 | 40 | |||
32.11 | odd | 8 | 896.2.u.b.561.2 | 40 | |||
32.21 | even | 8 | inner | 224.2.u.b.85.4 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.u.b.29.4 | ✓ | 40 | 1.1 | even | 1 | trivial | |
224.2.u.b.85.4 | yes | 40 | 32.21 | even | 8 | inner | |
896.2.u.b.337.2 | 40 | 4.3 | odd | 2 | |||
896.2.u.b.561.2 | 40 | 32.11 | odd | 8 |