Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(3,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.o (of order \(16\), degree \(8\), 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: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Character | \(\chi\) | \(=\) | 170.3 |
Dual form | 170.2.o.a.57.4 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.382683 | + | 0.923880i | −0.270598 | + | 0.653281i | ||||
\(3\) | 1.56304 | + | 2.33925i | 0.902419 | + | 1.35057i | 0.936323 | + | 0.351141i | \(0.114206\pi\) |
−0.0339033 | + | 0.999425i | \(0.510794\pi\) | |||||||
\(4\) | −0.707107 | − | 0.707107i | −0.353553 | − | 0.353553i | ||||
\(5\) | −2.19349 | − | 0.434263i | −0.980960 | − | 0.194208i | ||||
\(6\) | −2.75933 | + | 0.548865i | −1.12649 | + | 0.224073i | ||||
\(7\) | 0.254312 | + | 1.27851i | 0.0961208 | + | 0.483232i | 0.998619 | + | 0.0525381i | \(0.0167311\pi\) |
−0.902498 | + | 0.430694i | \(0.858269\pi\) | |||||||
\(8\) | 0.923880 | − | 0.382683i | 0.326641 | − | 0.135299i | ||||
\(9\) | −1.88095 | + | 4.54102i | −0.626984 | + | 1.51367i | ||||
\(10\) | 1.24062 | − | 1.86034i | 0.392319 | − | 0.588291i | ||||
\(11\) | 1.14054 | + | 5.73386i | 0.343884 | + | 1.72882i | 0.635335 | + | 0.772237i | \(0.280862\pi\) |
−0.291450 | + | 0.956586i | \(0.594138\pi\) | |||||||
\(12\) | 0.548865 | − | 2.75933i | 0.158444 | − | 0.796551i | ||||
\(13\) | − | 5.33794i | − | 1.48048i | −0.672344 | − | 0.740239i | \(-0.734712\pi\) | ||
0.672344 | − | 0.740239i | \(-0.265288\pi\) | |||||||
\(14\) | −1.27851 | − | 0.254312i | −0.341696 | − | 0.0679677i | ||||
\(15\) | −2.41266 | − | 5.80990i | −0.622946 | − | 1.50011i | ||||
\(16\) | 1.00000i | 0.250000i | ||||||||
\(17\) | 1.22423 | − | 3.93717i | 0.296919 | − | 0.954903i | ||||
\(18\) | −3.47555 | − | 3.47555i | −0.819195 | − | 0.819195i | ||||
\(19\) | −0.311731 | − | 0.752584i | −0.0715159 | − | 0.172655i | 0.884080 | − | 0.467336i | \(-0.154786\pi\) |
−0.955595 | + | 0.294682i | \(0.904786\pi\) | |||||||
\(20\) | 1.24396 | + | 1.85810i | 0.278159 | + | 0.415485i | ||||
\(21\) | −2.59326 | + | 2.59326i | −0.565895 | + | 0.565895i | ||||
\(22\) | −5.73386 | − | 1.14054i | −1.22246 | − | 0.243163i | ||||
\(23\) | 5.82170 | + | 3.88994i | 1.21391 | + | 0.811108i | 0.986670 | − | 0.162731i | \(-0.0520303\pi\) |
0.227239 | + | 0.973839i | \(0.427030\pi\) | |||||||
\(24\) | 2.33925 | + | 1.56304i | 0.477497 | + | 0.319053i | ||||
\(25\) | 4.62283 | + | 1.90511i | 0.924566 | + | 0.381021i | ||||
\(26\) | 4.93161 | + | 2.04274i | 0.967168 | + | 0.400614i | ||||
\(27\) | −5.28458 | + | 1.05117i | −1.01702 | + | 0.202298i | ||||
\(28\) | 0.724218 | − | 1.08387i | 0.136864 | − | 0.204832i | ||||
\(29\) | −1.17050 | − | 1.75178i | −0.217357 | − | 0.325298i | 0.706727 | − | 0.707486i | \(-0.250171\pi\) |
−0.924085 | + | 0.382188i | \(0.875171\pi\) | |||||||
\(30\) | 6.29093 | − | 0.00565639i | 1.14856 | − | 0.00103271i | ||||
\(31\) | 0.301321 | − | 1.51484i | 0.0541188 | − | 0.272074i | −0.944246 | − | 0.329241i | \(-0.893207\pi\) |
0.998365 | + | 0.0571677i | \(0.0182070\pi\) | |||||||
\(32\) | −0.923880 | − | 0.382683i | −0.163320 | − | 0.0676495i | ||||
\(33\) | −11.6302 | + | 11.6302i | −2.02456 | + | 2.02456i | ||||
\(34\) | 3.16897 | + | 2.63773i | 0.543475 | + | 0.452366i | ||||
\(35\) | −0.00262084 | − | 2.91484i | −0.000443002 | − | 0.492699i | ||||
\(36\) | 4.54102 | − | 1.88095i | 0.756837 | − | 0.313492i | ||||
\(37\) | 5.79208 | − | 3.87014i | 0.952212 | − | 0.636248i | 0.0206333 | − | 0.999787i | \(-0.493432\pi\) |
0.931579 | + | 0.363539i | \(0.118432\pi\) | |||||||
\(38\) | 0.814591 | 0.132144 | ||||||||
\(39\) | 12.4868 | − | 8.34339i | 1.99948 | − | 1.33601i | ||||
\(40\) | −2.19271 | + | 0.438207i | −0.346698 | + | 0.0692866i | ||||
\(41\) | −4.40455 | + | 6.59188i | −0.687876 | + | 1.02948i | 0.309044 | + | 0.951048i | \(0.399991\pi\) |
−0.996920 | + | 0.0784311i | \(0.975009\pi\) | |||||||
\(42\) | −1.40346 | − | 3.38825i | −0.216559 | − | 0.522819i | ||||
\(43\) | −0.544211 | − | 1.31384i | −0.0829914 | − | 0.200359i | 0.876936 | − | 0.480607i | \(-0.159583\pi\) |
−0.959928 | + | 0.280248i | \(0.909583\pi\) | |||||||
\(44\) | 3.24797 | − | 4.86093i | 0.489650 | − | 0.732813i | ||||
\(45\) | 6.09786 | − | 9.14388i | 0.909015 | − | 1.36309i | ||||
\(46\) | −5.82170 | + | 3.88994i | −0.858363 | + | 0.573540i | ||||
\(47\) | −0.109944 | −0.0160370 | −0.00801850 | − | 0.999968i | \(-0.502552\pi\) | ||||
−0.00801850 | + | 0.999968i | \(0.502552\pi\) | |||||||
\(48\) | −2.33925 | + | 1.56304i | −0.337642 | + | 0.225605i | ||||
\(49\) | 4.89724 | − | 2.02850i | 0.699606 | − | 0.289786i | ||||
\(50\) | −3.52917 | + | 3.54189i | −0.499100 | + | 0.500898i | ||||
\(51\) | 11.1235 | − | 3.29016i | 1.55760 | − | 0.460715i | ||||
\(52\) | −3.77449 | + | 3.77449i | −0.523428 | + | 0.523428i | ||||
\(53\) | 0.915351 | + | 0.379151i | 0.125733 | + | 0.0520804i | 0.444663 | − | 0.895698i | \(-0.353323\pi\) |
−0.318930 | + | 0.947778i | \(0.603323\pi\) | |||||||
\(54\) | 1.05117 | − | 5.28458i | 0.143046 | − | 0.719141i | ||||
\(55\) | −0.0117539 | − | 13.0725i | −0.00158490 | − | 1.76269i | ||||
\(56\) | 0.724218 | + | 1.08387i | 0.0967778 | + | 0.144838i | ||||
\(57\) | 1.27324 | − | 1.90553i | 0.168644 | − | 0.252394i | ||||
\(58\) | 2.06637 | − | 0.411026i | 0.271328 | − | 0.0539704i | ||||
\(59\) | −5.08359 | − | 2.10569i | −0.661827 | − | 0.274138i | 0.0263799 | − | 0.999652i | \(-0.491602\pi\) |
−0.688207 | + | 0.725514i | \(0.741602\pi\) | |||||||
\(60\) | −2.40221 | + | 5.81423i | −0.310124 | + | 0.750613i | ||||
\(61\) | −4.82682 | − | 3.22518i | −0.618011 | − | 0.412942i | 0.206774 | − | 0.978389i | \(-0.433704\pi\) |
−0.824785 | + | 0.565447i | \(0.808704\pi\) | |||||||
\(62\) | 1.28422 | + | 0.858089i | 0.163096 | + | 0.108977i | ||||
\(63\) | −6.28410 | − | 1.24998i | −0.791722 | − | 0.157483i | ||||
\(64\) | 0.707107 | − | 0.707107i | 0.0883883 | − | 0.0883883i | ||||
\(65\) | −2.31807 | + | 11.7087i | −0.287521 | + | 1.45229i | ||||
\(66\) | −6.29423 | − | 15.1956i | −0.774766 | − | 1.87045i | ||||
\(67\) | −4.12405 | − | 4.12405i | −0.503833 | − | 0.503833i | 0.408794 | − | 0.912627i | \(-0.365950\pi\) |
−0.912627 | + | 0.408794i | \(0.865950\pi\) | |||||||
\(68\) | −3.64966 | + | 1.91834i | −0.442586 | + | 0.232633i | ||||
\(69\) | 19.6985i | 2.37142i | ||||||||
\(70\) | 2.69397 | + | 1.11304i | 0.321991 | + | 0.133034i | ||||
\(71\) | −5.38952 | − | 1.07204i | −0.639618 | − | 0.127228i | −0.135382 | − | 0.990794i | \(-0.543226\pi\) |
−0.504237 | + | 0.863566i | \(0.668226\pi\) | |||||||
\(72\) | 4.91517i | 0.579258i | ||||||||
\(73\) | 1.59643 | − | 8.02579i | 0.186848 | − | 0.939348i | −0.767591 | − | 0.640940i | \(-0.778545\pi\) |
0.954439 | − | 0.298407i | \(-0.0964554\pi\) | |||||||
\(74\) | 1.35901 | + | 6.83222i | 0.157982 | + | 0.794230i | ||||
\(75\) | 2.76913 | + | 13.7917i | 0.319752 | + | 1.59253i | ||||
\(76\) | −0.311731 | + | 0.752584i | −0.0357580 | + | 0.0863273i | ||||
\(77\) | −7.04075 | + | 2.91637i | −0.802368 | + | 0.332352i | ||||
\(78\) | 2.92981 | + | 14.7291i | 0.331736 | + | 1.66775i | ||||
\(79\) | −5.01247 | + | 0.997043i | −0.563947 | + | 0.112176i | −0.468828 | − | 0.883290i | \(-0.655323\pi\) |
−0.0951198 | + | 0.995466i | \(0.530323\pi\) | |||||||
\(80\) | 0.434263 | − | 2.19349i | 0.0485521 | − | 0.245240i | ||||
\(81\) | −0.292298 | − | 0.292298i | −0.0324776 | − | 0.0324776i | ||||
\(82\) | −4.40455 | − | 6.59188i | −0.486402 | − | 0.727952i | ||||
\(83\) | 0.987480 | − | 2.38399i | 0.108390 | − | 0.261677i | −0.860373 | − | 0.509665i | \(-0.829769\pi\) |
0.968763 | + | 0.247988i | \(0.0797694\pi\) | |||||||
\(84\) | 3.66742 | 0.400148 | ||||||||
\(85\) | −4.39510 | + | 8.10451i | −0.476716 | + | 0.879058i | ||||
\(86\) | 1.42209 | 0.153348 | ||||||||
\(87\) | 2.26832 | − | 5.47620i | 0.243189 | − | 0.587110i | ||||
\(88\) | 3.24797 | + | 4.86093i | 0.346235 | + | 0.518177i | ||||
\(89\) | 0.779290 | + | 0.779290i | 0.0826045 | + | 0.0826045i | 0.747202 | − | 0.664597i | \(-0.231397\pi\) |
−0.664597 | + | 0.747202i | \(0.731397\pi\) | |||||||
\(90\) | 6.11429 | + | 9.13290i | 0.644503 | + | 0.962692i | ||||
\(91\) | 6.82461 | − | 1.35750i | 0.715414 | − | 0.142305i | ||||
\(92\) | −1.36596 | − | 6.86717i | −0.142412 | − | 0.715952i | ||||
\(93\) | 4.01457 | − | 1.66289i | 0.416291 | − | 0.172434i | ||||
\(94\) | 0.0420738 | − | 0.101575i | 0.00433958 | − | 0.0104767i | ||||
\(95\) | 0.356960 | + | 1.78616i | 0.0366233 | + | 0.183256i | ||||
\(96\) | −0.548865 | − | 2.75933i | −0.0560183 | − | 0.281623i | ||||
\(97\) | −2.93692 | + | 14.7649i | −0.298199 | + | 1.49915i | 0.483418 | + | 0.875389i | \(0.339395\pi\) |
−0.781617 | + | 0.623758i | \(0.785605\pi\) | |||||||
\(98\) | 5.30073i | 0.535455i | ||||||||
\(99\) | −28.1829 | − | 5.60592i | −2.83249 | − | 0.563416i | ||||
\(100\) | −1.92172 | − | 4.61595i | −0.192172 | − | 0.461595i | ||||
\(101\) | − | 6.75581i | − | 0.672228i | −0.941821 | − | 0.336114i | \(-0.890887\pi\) | ||
0.941821 | − | 0.336114i | \(-0.109113\pi\) | |||||||
\(102\) | −1.21708 | + | 11.5359i | −0.120508 | + | 1.14222i | ||||
\(103\) | −4.75400 | − | 4.75400i | −0.468426 | − | 0.468426i | 0.432978 | − | 0.901404i | \(-0.357463\pi\) |
−0.901404 | + | 0.432978i | \(0.857463\pi\) | |||||||
\(104\) | −2.04274 | − | 4.93161i | −0.200307 | − | 0.483584i | ||||
\(105\) | 6.81445 | − | 4.56214i | 0.665022 | − | 0.445219i | ||||
\(106\) | −0.700579 | + | 0.700579i | −0.0680463 | + | 0.0680463i | ||||
\(107\) | −16.4030 | − | 3.26275i | −1.58573 | − | 0.315422i | −0.678031 | − | 0.735033i | \(-0.737166\pi\) |
−0.907704 | + | 0.419611i | \(0.862166\pi\) | |||||||
\(108\) | 4.48005 | + | 2.99348i | 0.431093 | + | 0.288047i | ||||
\(109\) | −2.02154 | − | 1.35075i | −0.193628 | − | 0.129378i | 0.454977 | − | 0.890503i | \(-0.349647\pi\) |
−0.648605 | + | 0.761125i | \(0.724647\pi\) | |||||||
\(110\) | 12.0819 | + | 4.99176i | 1.15196 | + | 0.475946i | ||||
\(111\) | 18.1065 | + | 7.49994i | 1.71859 | + | 0.711863i | ||||
\(112\) | −1.27851 | + | 0.254312i | −0.120808 | + | 0.0240302i | ||||
\(113\) | 6.28548 | − | 9.40688i | 0.591288 | − | 0.884925i | −0.408322 | − | 0.912838i | \(-0.633886\pi\) |
0.999610 | + | 0.0279127i | \(0.00888606\pi\) | |||||||
\(114\) | 1.27324 | + | 1.90553i | 0.119249 | + | 0.178469i | ||||
\(115\) | −11.0806 | − | 11.0607i | −1.03327 | − | 1.03142i | ||||
\(116\) | −0.411026 | + | 2.06637i | −0.0381628 | + | 0.191858i | ||||
\(117\) | 24.2397 | + | 10.0404i | 2.24096 | + | 0.928236i | ||||
\(118\) | 3.89081 | − | 3.89081i | 0.358178 | − | 0.358178i | ||||
\(119\) | 5.34504 | + | 0.563921i | 0.489979 | + | 0.0516945i | ||||
\(120\) | −4.45236 | − | 4.44436i | −0.406443 | − | 0.405713i | ||||
\(121\) | −21.4136 | + | 8.86981i | −1.94669 | + | 0.806347i | ||||
\(122\) | 4.82682 | − | 3.22518i | 0.437000 | − | 0.291994i | ||||
\(123\) | −22.3045 | −2.01113 | ||||||||
\(124\) | −1.28422 | + | 0.858089i | −0.115326 | + | 0.0770587i | ||||
\(125\) | −9.31283 | − | 6.18637i | −0.832965 | − | 0.553325i | ||||
\(126\) | 3.55966 | − | 5.32740i | 0.317119 | − | 0.474603i | ||||
\(127\) | 1.36362 | + | 3.29207i | 0.121002 | + | 0.292124i | 0.972761 | − | 0.231809i | \(-0.0744643\pi\) |
−0.851760 | + | 0.523933i | \(0.824464\pi\) | |||||||
\(128\) | 0.382683 | + | 0.923880i | 0.0338248 | + | 0.0816602i | ||||
\(129\) | 2.22278 | − | 3.32663i | 0.195705 | − | 0.292893i | ||||
\(130\) | −9.93037 | − | 6.62236i | −0.870951 | − | 0.580819i | ||||
\(131\) | 9.80467 | − | 6.55127i | 0.856638 | − | 0.572387i | −0.0478655 | − | 0.998854i | \(-0.515242\pi\) |
0.904503 | + | 0.426467i | \(0.140242\pi\) | |||||||
\(132\) | 16.4476 | 1.43158 | ||||||||
\(133\) | 0.882911 | − | 0.589942i | 0.0765581 | − | 0.0511545i | ||||
\(134\) | 5.38834 | − | 2.23192i | 0.465481 | − | 0.192809i | ||||
\(135\) | 12.0482 | − | 0.0108329i | 1.03694 | − | 0.000932351i | ||||
\(136\) | −0.375650 | − | 4.10596i | −0.0322117 | − | 0.352083i | ||||
\(137\) | 9.59397 | − | 9.59397i | 0.819668 | − | 0.819668i | −0.166391 | − | 0.986060i | \(-0.553212\pi\) |
0.986060 | + | 0.166391i | \(0.0532115\pi\) | |||||||
\(138\) | −18.1991 | − | 7.53830i | −1.54921 | − | 0.641703i | ||||
\(139\) | 2.01112 | − | 10.1106i | 0.170581 | − | 0.857570i | −0.796800 | − | 0.604244i | \(-0.793475\pi\) |
0.967381 | − | 0.253326i | \(-0.0815246\pi\) | |||||||
\(140\) | −2.05925 | + | 2.06296i | −0.174039 | + | 0.174352i | ||||
\(141\) | −0.171847 | − | 0.257187i | −0.0144721 | − | 0.0216590i | ||||
\(142\) | 3.05292 | − | 4.56901i | 0.256195 | − | 0.383423i | ||||
\(143\) | 30.6070 | − | 6.08810i | 2.55948 | − | 0.509113i | ||||
\(144\) | −4.54102 | − | 1.88095i | −0.378419 | − | 0.156746i | ||||
\(145\) | 1.80676 | + | 4.35083i | 0.150043 | + | 0.361317i | ||||
\(146\) | 6.80394 | + | 4.54625i | 0.563098 | + | 0.376250i | ||||
\(147\) | 12.3997 | + | 8.28524i | 1.02271 | + | 0.683355i | ||||
\(148\) | −6.83222 | − | 1.35901i | −0.561605 | − | 0.111710i | ||||
\(149\) | −13.6274 | + | 13.6274i | −1.11640 | + | 1.11640i | −0.124139 | + | 0.992265i | \(0.539617\pi\) |
−0.992265 | + | 0.124139i | \(0.960383\pi\) | |||||||
\(150\) | −13.8016 | − | 2.71951i | −1.12689 | − | 0.222047i | ||||
\(151\) | 3.26423 | + | 7.88055i | 0.265639 | + | 0.641310i | 0.999269 | − | 0.0382398i | \(-0.0121751\pi\) |
−0.733629 | + | 0.679550i | \(0.762175\pi\) | |||||||
\(152\) | −0.576003 | − | 0.576003i | −0.0467200 | − | 0.0467200i | ||||
\(153\) | 15.5760 | + | 12.9649i | 1.25925 | + | 1.04815i | ||||
\(154\) | − | 7.62085i | − | 0.614106i | ||||||
\(155\) | −1.31879 | + | 3.19195i | −0.105927 | + | 0.256383i | ||||
\(156\) | −14.7291 | − | 2.92981i | −1.17928 | − | 0.234572i | ||||
\(157\) | 0.880010i | 0.0702324i | 0.999383 | + | 0.0351162i | \(0.0111801\pi\) | ||||
−0.999383 | + | 0.0351162i | \(0.988820\pi\) | |||||||
\(158\) | 0.997043 | − | 5.01247i | 0.0793205 | − | 0.398771i | ||||
\(159\) | 0.543799 | + | 2.73386i | 0.0431260 | + | 0.216809i | ||||
\(160\) | 1.86034 | + | 1.24062i | 0.147073 | + | 0.0980797i | ||||
\(161\) | −3.49280 | + | 8.43237i | −0.275271 | + | 0.664564i | ||||
\(162\) | 0.381906 | − | 0.158191i | 0.0300054 | − | 0.0124286i | ||||
\(163\) | 1.32917 | + | 6.68221i | 0.104109 | + | 0.523391i | 0.997282 | + | 0.0736779i | \(0.0234737\pi\) |
−0.893173 | + | 0.449713i | \(0.851526\pi\) | |||||||
\(164\) | 7.77565 | − | 1.54667i | 0.607177 | − | 0.120775i | ||||
\(165\) | 30.5614 | − | 20.4602i | 2.37920 | − | 1.59283i | ||||
\(166\) | 1.82463 | + | 1.82463i | 0.141618 | + | 0.141618i | ||||
\(167\) | 7.45689 | + | 11.1600i | 0.577032 | + | 0.863589i | 0.999076 | − | 0.0429863i | \(-0.0136872\pi\) |
−0.422044 | + | 0.906575i | \(0.638687\pi\) | |||||||
\(168\) | −1.40346 | + | 3.38825i | −0.108279 | + | 0.261409i | ||||
\(169\) | −15.4936 | −1.19181 | ||||||||
\(170\) | −5.80566 | − | 7.16200i | −0.445274 | − | 0.549301i | ||||
\(171\) | 4.00385 | 0.306182 | ||||||||
\(172\) | −0.544211 | + | 1.31384i | −0.0414957 | + | 0.100180i | ||||
\(173\) | −13.1343 | − | 19.6568i | −0.998580 | − | 1.49448i | −0.863945 | − | 0.503585i | \(-0.832014\pi\) |
−0.134635 | − | 0.990895i | \(-0.542986\pi\) | |||||||
\(174\) | 4.19130 | + | 4.19130i | 0.317742 | + | 0.317742i | ||||
\(175\) | −1.26006 | + | 6.39483i | −0.0952516 | + | 0.483404i | ||||
\(176\) | −5.73386 | + | 1.14054i | −0.432206 | + | 0.0859711i | ||||
\(177\) | −3.02010 | − | 15.1831i | −0.227005 | − | 1.14123i | ||||
\(178\) | −1.01819 | + | 0.421748i | −0.0763166 | + | 0.0316114i | ||||
\(179\) | −9.49226 | + | 22.9163i | −0.709485 | + | 1.71285i | −0.00820077 | + | 0.999966i | \(0.502610\pi\) |
−0.701284 | + | 0.712882i | \(0.747390\pi\) | |||||||
\(180\) | −10.7775 | + | 2.15386i | −0.803310 | + | 0.160539i | ||||
\(181\) | −1.10723 | − | 5.56640i | −0.0822995 | − | 0.413747i | −0.999869 | − | 0.0161726i | \(-0.994852\pi\) |
0.917570 | − | 0.397575i | \(-0.130148\pi\) | |||||||
\(182\) | −1.35750 | + | 6.82461i | −0.100625 | + | 0.505874i | ||||
\(183\) | − | 16.3322i | − | 1.20731i | ||||||
\(184\) | 6.86717 | + | 1.36596i | 0.506254 | + | 0.100700i | ||||
\(185\) | −14.3856 | + | 5.97385i | −1.05765 | + | 0.439206i | ||||
\(186\) | 4.34534i | 0.318616i | ||||||||
\(187\) | 23.9714 | + | 2.52907i | 1.75296 | + | 0.184944i | ||||
\(188\) | 0.0777423 | + | 0.0777423i | 0.00566994 | + | 0.00566994i | ||||
\(189\) | −2.68786 | − | 6.48908i | −0.195513 | − | 0.472011i | ||||
\(190\) | −1.78680 | − | 0.353747i | −0.129628 | − | 0.0256635i | ||||
\(191\) | −0.202904 | + | 0.202904i | −0.0146816 | + | 0.0146816i | −0.714409 | − | 0.699728i | \(-0.753305\pi\) |
0.699728 | + | 0.714409i | \(0.253305\pi\) | |||||||
\(192\) | 2.75933 | + | 0.548865i | 0.199138 | + | 0.0396109i | ||||
\(193\) | 20.3846 | + | 13.6206i | 1.46732 | + | 0.980429i | 0.995092 | + | 0.0989501i | \(0.0315484\pi\) |
0.472223 | + | 0.881479i | \(0.343452\pi\) | |||||||
\(194\) | −12.5171 | − | 8.36364i | −0.898673 | − | 0.600474i | ||||
\(195\) | −31.0129 | + | 12.8786i | −2.22088 | + | 0.922258i | ||||
\(196\) | −4.89724 | − | 2.02850i | −0.349803 | − | 0.144893i | ||||
\(197\) | 2.46774 | − | 0.490864i | 0.175819 | − | 0.0349726i | −0.106396 | − | 0.994324i | \(-0.533931\pi\) |
0.282215 | + | 0.959351i | \(0.408931\pi\) | |||||||
\(198\) | 15.9643 | − | 23.8923i | 1.13453 | − | 1.69795i | ||||
\(199\) | 7.18214 | + | 10.7488i | 0.509128 | + | 0.761964i | 0.993614 | − | 0.112835i | \(-0.0359931\pi\) |
−0.484485 | + | 0.874799i | \(0.660993\pi\) | |||||||
\(200\) | 4.99999 | − | 0.00899134i | 0.353553 | − | 0.000635784i | ||||
\(201\) | 3.20114 | − | 16.0932i | 0.225791 | − | 1.13513i | ||||
\(202\) | 6.24155 | + | 2.58533i | 0.439154 | + | 0.181904i | ||||
\(203\) | 1.94200 | − | 1.94200i | 0.136302 | − | 0.136302i | ||||
\(204\) | −10.1920 | − | 5.53902i | −0.713584 | − | 0.387809i | ||||
\(205\) | 12.5240 | − | 12.5465i | 0.874712 | − | 0.876287i | ||||
\(206\) | 6.21141 | − | 2.57285i | 0.432769 | − | 0.179259i | ||||
\(207\) | −28.6146 | + | 19.1197i | −1.98886 | + | 1.32891i | ||||
\(208\) | 5.33794 | 0.370119 | ||||||||
\(209\) | 3.95967 | − | 2.64577i | 0.273896 | − | 0.183012i | ||||
\(210\) | 1.60709 | + | 8.04159i | 0.110900 | + | 0.554922i | ||||
\(211\) | 7.92328 | − | 11.8580i | 0.545461 | − | 0.816340i | −0.451658 | − | 0.892191i | \(-0.649167\pi\) |
0.997119 | + | 0.0758509i | \(0.0241673\pi\) | |||||||
\(212\) | −0.379151 | − | 0.915351i | −0.0260402 | − | 0.0628666i | ||||
\(213\) | −5.91624 | − | 14.2831i | −0.405374 | − | 0.978660i | ||||
\(214\) | 9.29153 | − | 13.9058i | 0.635156 | − | 0.950578i | ||||
\(215\) | 0.623171 | + | 3.11823i | 0.0424999 | + | 0.212662i | ||||
\(216\) | −4.48005 | + | 2.99348i | −0.304829 | + | 0.203680i | ||||
\(217\) | 2.01337 | 0.136677 | ||||||||
\(218\) | 2.02154 | − | 1.35075i | 0.136916 | − | 0.0914842i | ||||
\(219\) | 21.2696 | − | 8.81016i | 1.43727 | − | 0.595335i | ||||
\(220\) | −9.23532 | + | 9.25195i | −0.622645 | + | 0.623766i | ||||
\(221\) | −21.0163 | − | 6.53485i | −1.41371 | − | 0.439581i | ||||
\(222\) | −13.8581 | + | 13.8581i | −0.930094 | + | 0.930094i | ||||
\(223\) | −12.6106 | − | 5.22346i | −0.844465 | − | 0.349789i | −0.0818526 | − | 0.996644i | \(-0.526084\pi\) |
−0.762613 | + | 0.646856i | \(0.776084\pi\) | |||||||
\(224\) | 0.254312 | − | 1.27851i | 0.0169919 | − | 0.0854241i | ||||
\(225\) | −17.3465 | + | 17.4090i | −1.15643 | + | 1.16060i | ||||
\(226\) | 6.28548 | + | 9.40688i | 0.418104 | + | 0.625737i | ||||
\(227\) | −4.38201 | + | 6.55814i | −0.290844 | + | 0.435279i | −0.947902 | − | 0.318561i | \(-0.896801\pi\) |
0.657058 | + | 0.753840i | \(0.271801\pi\) | |||||||
\(228\) | −2.24773 | + | 0.447101i | −0.148859 | + | 0.0296100i | ||||
\(229\) | 9.79199 | + | 4.05598i | 0.647073 | + | 0.268026i | 0.681987 | − | 0.731364i | \(-0.261116\pi\) |
−0.0349144 | + | 0.999390i | \(0.511116\pi\) | |||||||
\(230\) | 14.4591 | − | 6.00440i | 0.953407 | − | 0.395919i | ||||
\(231\) | −17.8271 | − | 11.9117i | −1.17294 | − | 0.783730i | ||||
\(232\) | −1.75178 | − | 1.17050i | −0.115010 | − | 0.0768474i | ||||
\(233\) | 2.34162 | + | 0.465778i | 0.153405 | + | 0.0305141i | 0.271195 | − | 0.962524i | \(-0.412581\pi\) |
−0.117790 | + | 0.993038i | \(0.537581\pi\) | |||||||
\(234\) | −18.5523 | + | 18.5523i | −1.21280 | + | 1.21280i | ||||
\(235\) | 0.241162 | + | 0.0477447i | 0.0157317 | + | 0.00311452i | ||||
\(236\) | 2.10569 | + | 5.08359i | 0.137069 | + | 0.330914i | ||||
\(237\) | −10.1670 | − | 10.1670i | −0.660418 | − | 0.660418i | ||||
\(238\) | −2.56645 | + | 4.72237i | −0.166359 | + | 0.306106i | ||||
\(239\) | − | 10.4783i | − | 0.677786i | −0.940825 | − | 0.338893i | \(-0.889947\pi\) | ||
0.940825 | − | 0.338893i | \(-0.110053\pi\) | |||||||
\(240\) | 5.80990 | − | 2.41266i | 0.375027 | − | 0.155737i | ||||
\(241\) | 6.35785 | + | 1.26466i | 0.409545 | + | 0.0814636i | 0.395564 | − | 0.918439i | \(-0.370549\pi\) |
0.0139818 | + | 0.999902i | \(0.495549\pi\) | |||||||
\(242\) | − | 23.1779i | − | 1.48993i | ||||||
\(243\) | −2.92662 | + | 14.7131i | −0.187743 | + | 0.943847i | ||||
\(244\) | 1.13253 | + | 5.69362i | 0.0725029 | + | 0.364497i | ||||
\(245\) | −11.6230 | + | 2.32282i | −0.742564 | + | 0.148399i | ||||
\(246\) | 8.53557 | − | 20.6067i | 0.544208 | − | 1.31384i | ||||
\(247\) | −4.01725 | + | 1.66400i | −0.255611 | + | 0.105878i | ||||
\(248\) | −0.301321 | − | 1.51484i | −0.0191339 | − | 0.0961926i | ||||
\(249\) | 7.12021 | − | 1.41630i | 0.451225 | − | 0.0897542i | ||||
\(250\) | 9.27932 | − | 6.23652i | 0.586876 | − | 0.394432i | ||||
\(251\) | 15.4336 | + | 15.4336i | 0.974160 | + | 0.974160i | 0.999674 | − | 0.0255144i | \(-0.00812236\pi\) |
−0.0255144 | + | 0.999674i | \(0.508122\pi\) | |||||||
\(252\) | 3.55966 | + | 5.32740i | 0.224237 | + | 0.335595i | ||||
\(253\) | −15.6645 | + | 37.8174i | −0.984818 | + | 2.37756i | ||||
\(254\) | −3.56331 | −0.223582 | ||||||||
\(255\) | −25.8282 | + | 2.38641i | −1.61742 | + | 0.149443i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | 3.71392 | − | 8.96619i | 0.231668 | − | 0.559296i | −0.764706 | − | 0.644379i | \(-0.777116\pi\) |
0.996374 | + | 0.0850837i | \(0.0271158\pi\) | |||||||
\(258\) | 2.22278 | + | 3.32663i | 0.138384 | + | 0.207107i | ||||
\(259\) | 6.42102 | + | 6.42102i | 0.398983 | + | 0.398983i | ||||
\(260\) | 9.91845 | − | 6.64020i | 0.615116 | − | 0.411808i | ||||
\(261\) | 10.1566 | − | 2.02026i | 0.628675 | − | 0.125051i | ||||
\(262\) | 2.30050 | + | 11.5654i | 0.142125 | + | 0.714512i | ||||
\(263\) | 14.7991 | − | 6.13000i | 0.912553 | − | 0.377992i | 0.123520 | − | 0.992342i | \(-0.460582\pi\) |
0.789033 | + | 0.614350i | \(0.210582\pi\) | |||||||
\(264\) | −6.29423 | + | 15.1956i | −0.387383 | + | 0.935226i | ||||
\(265\) | −1.84317 | − | 1.22917i | −0.113225 | − | 0.0755072i | ||||
\(266\) | 0.207160 | + | 1.04146i | 0.0127018 | + | 0.0638563i | ||||
\(267\) | −0.604895 | + | 3.04101i | −0.0370189 | + | 0.186107i | ||||
\(268\) | 5.83229i | 0.356264i | ||||||||
\(269\) | 16.1671 | + | 3.21583i | 0.985724 | + | 0.196073i | 0.661531 | − | 0.749918i | \(-0.269907\pi\) |
0.324194 | + | 0.945991i | \(0.394907\pi\) | |||||||
\(270\) | −4.60063 | + | 11.1352i | −0.279986 | + | 0.677668i | ||||
\(271\) | − | 5.17301i | − | 0.314238i | −0.987580 | − | 0.157119i | \(-0.949779\pi\) | ||
0.987580 | − | 0.157119i | \(-0.0502206\pi\) | |||||||
\(272\) | 3.93717 | + | 1.22423i | 0.238726 | + | 0.0742297i | ||||
\(273\) | 13.8426 | + | 13.8426i | 0.837795 | + | 0.837795i | ||||
\(274\) | 5.19222 | + | 12.5351i | 0.313673 | + | 0.757275i | ||||
\(275\) | −5.65111 | + | 28.6795i | −0.340775 | + | 1.72944i | ||||
\(276\) | 13.9290 | − | 13.9290i | 0.838425 | − | 0.838425i | ||||
\(277\) | 20.2746 | + | 4.03287i | 1.21818 | + | 0.242312i | 0.762002 | − | 0.647575i | \(-0.224217\pi\) |
0.456182 | + | 0.889886i | \(0.349217\pi\) | |||||||
\(278\) | 8.57135 | + | 5.72719i | 0.514076 | + | 0.343494i | ||||
\(279\) | 6.31216 | + | 4.21765i | 0.377899 | + | 0.252504i | ||||
\(280\) | −1.11788 | − | 2.69196i | −0.0668064 | − | 0.160876i | ||||
\(281\) | −1.20815 | − | 0.500433i | −0.0720724 | − | 0.0298534i | 0.346356 | − | 0.938103i | \(-0.387419\pi\) |
−0.418428 | + | 0.908250i | \(0.637419\pi\) | |||||||
\(282\) | 0.303372 | − | 0.0603445i | 0.0180656 | − | 0.00359347i | ||||
\(283\) | −2.53325 | + | 3.79127i | −0.150586 | + | 0.225368i | −0.899091 | − | 0.437761i | \(-0.855772\pi\) |
0.748506 | + | 0.663128i | \(0.230772\pi\) | |||||||
\(284\) | 3.05292 | + | 4.56901i | 0.181157 | + | 0.271121i | ||||
\(285\) | −3.62034 | + | 3.62685i | −0.214450 | + | 0.214836i | ||||
\(286\) | −6.08810 | + | 30.6070i | −0.359997 | + | 1.80983i | ||||
\(287\) | −9.54792 | − | 3.95488i | −0.563596 | − | 0.233449i | ||||
\(288\) | 3.47555 | − | 3.47555i | 0.204799 | − | 0.204799i | ||||
\(289\) | −14.0025 | − | 9.63997i | −0.823679 | − | 0.567057i | ||||
\(290\) | −4.71106 | + | 0.00423588i | −0.276643 | + | 0.000248739i | ||||
\(291\) | −39.1293 | + | 16.2079i | −2.29380 | + | 0.950122i | ||||
\(292\) | −6.80394 | + | 4.54625i | −0.398170 | + | 0.266049i | ||||
\(293\) | −31.2813 | −1.82747 | −0.913735 | − | 0.406310i | \(-0.866815\pi\) | ||||
−0.913735 | + | 0.406310i | \(0.866815\pi\) | |||||||
\(294\) | −12.3997 | + | 8.28524i | −0.723167 | + | 0.483205i | ||||
\(295\) | 10.2364 | + | 6.82644i | 0.595986 | + | 0.397451i | ||||
\(296\) | 3.87014 | − | 5.79208i | 0.224948 | − | 0.336658i | ||||
\(297\) | −12.0545 | − | 29.1022i | −0.699474 | − | 1.68868i | ||||
\(298\) | −7.37512 | − | 17.8051i | −0.427229 | − | 1.03142i | ||||
\(299\) | 20.7642 | − | 31.0759i | 1.20083 | − | 1.79716i | ||||
\(300\) | 7.79414 | − | 11.7103i | 0.449995 | − | 0.676093i | ||||
\(301\) | 1.54136 | − | 1.02991i | 0.0888426 | − | 0.0593628i | ||||
\(302\) | −8.52985 | −0.490838 | ||||||||
\(303\) | 15.8035 | − | 10.5596i | 0.907888 | − | 0.606631i | ||||
\(304\) | 0.752584 | − | 0.311731i | 0.0431637 | − | 0.0178790i | ||||
\(305\) | 9.18703 | + | 9.17052i | 0.526048 | + | 0.525102i | ||||
\(306\) | −17.9387 | + | 9.42895i | −1.02549 | + | 0.539017i | ||||
\(307\) | −12.1175 | + | 12.1175i | −0.691579 | + | 0.691579i | −0.962579 | − | 0.271000i | \(-0.912646\pi\) |
0.271000 | + | 0.962579i | \(0.412646\pi\) | |||||||
\(308\) | 7.04075 | + | 2.91637i | 0.401184 | + | 0.166176i | ||||
\(309\) | 3.69012 | − | 18.5515i | 0.209924 | − | 1.05536i | ||||
\(310\) | −2.44430 | − | 2.43990i | −0.138827 | − | 0.138577i | ||||
\(311\) | −3.04967 | − | 4.56416i | −0.172931 | − | 0.258810i | 0.734872 | − | 0.678205i | \(-0.237242\pi\) |
−0.907804 | + | 0.419396i | \(0.862242\pi\) | |||||||
\(312\) | 8.34339 | − | 12.4868i | 0.472351 | − | 0.706924i | ||||
\(313\) | −6.28639 | + | 1.25044i | −0.355328 | + | 0.0706791i | −0.369527 | − | 0.929220i | \(-0.620480\pi\) |
0.0141989 | + | 0.999899i | \(0.495480\pi\) | |||||||
\(314\) | −0.813023 | − | 0.336765i | −0.0458815 | − | 0.0190048i | ||||
\(315\) | 13.2413 | + | 5.47079i | 0.746063 | + | 0.308244i | ||||
\(316\) | 4.24937 | + | 2.83934i | 0.239046 | + | 0.159725i | ||||
\(317\) | −16.0464 | − | 10.7218i | −0.901254 | − | 0.602199i | 0.0162752 | − | 0.999868i | \(-0.494819\pi\) |
−0.917529 | + | 0.397669i | \(0.869819\pi\) | |||||||
\(318\) | −2.73386 | − | 0.543799i | −0.153307 | − | 0.0304947i | ||||
\(319\) | 8.70947 | − | 8.70947i | 0.487637 | − | 0.487637i | ||||
\(320\) | −1.85810 | + | 1.24396i | −0.103871 | + | 0.0695397i | ||||
\(321\) | −18.0060 | − | 43.4704i | −1.00500 | − | 2.42628i | ||||
\(322\) | −6.45386 | − | 6.45386i | −0.359659 | − | 0.359659i | ||||
\(323\) | −3.34468 | + | 0.306001i | −0.186103 | + | 0.0170263i | ||||
\(324\) | 0.413372i | 0.0229651i | ||||||||
\(325\) | 10.1693 | − | 24.6764i | 0.564094 | − | 1.36880i | ||||
\(326\) | −6.68221 | − | 1.32917i | −0.370093 | − | 0.0736161i | ||||
\(327\) | − | 6.84014i | − | 0.378261i | ||||||
\(328\) | −1.54667 | + | 7.77565i | −0.0854008 | + | 0.429339i | ||||
\(329\) | −0.0279601 | − | 0.140565i | −0.00154149 | − | 0.00774959i | ||||
\(330\) | 7.20746 | + | 36.0648i | 0.396758 | + | 1.98530i | ||||
\(331\) | −5.53455 | + | 13.3616i | −0.304207 | + | 0.734420i | 0.695665 | + | 0.718367i | \(0.255110\pi\) |
−0.999871 | + | 0.0160529i | \(0.994890\pi\) | |||||||
\(332\) | −2.38399 | + | 0.987480i | −0.130838 | + | 0.0541950i | ||||
\(333\) | 6.67978 | + | 33.5815i | 0.366050 | + | 1.84026i | ||||
\(334\) | −13.1642 | + | 2.61851i | −0.720310 | + | 0.143279i | ||||
\(335\) | 7.25516 | + | 10.8370i | 0.396392 | + | 0.592089i | ||||
\(336\) | −2.59326 | − | 2.59326i | −0.141474 | − | 0.141474i | ||||
\(337\) | 4.77956 | + | 7.15312i | 0.260359 | + | 0.389655i | 0.938501 | − | 0.345276i | \(-0.112215\pi\) |
−0.678142 | + | 0.734931i | \(0.737215\pi\) | |||||||
\(338\) | 5.92913 | − | 14.3142i | 0.322502 | − | 0.778590i | ||||
\(339\) | 31.8295 | 1.72874 | ||||||||
\(340\) | 8.83856 | − | 2.62295i | 0.479338 | − | 0.142249i | ||||
\(341\) | 9.02956 | 0.488978 | ||||||||
\(342\) | −1.53221 | + | 3.69908i | −0.0828523 | + | 0.200023i | ||||
\(343\) | 8.90842 | + | 13.3324i | 0.481009 | + | 0.719881i | ||||
\(344\) | −1.00557 | − | 1.00557i | −0.0542168 | − | 0.0542168i | ||||
\(345\) | 8.55434 | − | 43.2086i | 0.460550 | − | 2.32627i | ||||
\(346\) | 23.1868 | − | 4.61214i | 1.24653 | − | 0.247950i | ||||
\(347\) | −6.64863 | − | 33.4249i | −0.356917 | − | 1.79434i | −0.574720 | − | 0.818350i | \(-0.694889\pi\) |
0.217802 | − | 0.975993i | \(-0.430111\pi\) | |||||||
\(348\) | −5.47620 | + | 2.26832i | −0.293555 | + | 0.121595i | ||||
\(349\) | −2.62113 | + | 6.32796i | −0.140306 | + | 0.338728i | −0.978376 | − | 0.206834i | \(-0.933684\pi\) |
0.838070 | + | 0.545562i | \(0.183684\pi\) | |||||||
\(350\) | −5.42585 | − | 3.61134i | −0.290024 | − | 0.193034i | ||||
\(351\) | 5.61108 | + | 28.2088i | 0.299497 | + | 1.50567i | ||||
\(352\) | 1.14054 | − | 5.73386i | 0.0607907 | − | 0.305616i | ||||
\(353\) | − | 23.7210i | − | 1.26254i | −0.775563 | − | 0.631270i | \(-0.782534\pi\) | ||
0.775563 | − | 0.631270i | \(-0.217466\pi\) | |||||||
\(354\) | 15.1831 | + | 3.02010i | 0.806971 | + | 0.160516i | ||||
\(355\) | 11.3563 | + | 4.69199i | 0.602732 | + | 0.249025i | ||||
\(356\) | − | 1.10208i | − | 0.0584102i | ||||||
\(357\) | 7.03535 | + | 13.3848i | 0.372350 | + | 0.708400i | ||||
\(358\) | −17.5394 | − | 17.5394i | −0.926987 | − | 0.926987i | ||||
\(359\) | −10.0001 | − | 24.1423i | −0.527783 | − | 1.27418i | −0.932972 | − | 0.359948i | \(-0.882794\pi\) |
0.405189 | − | 0.914233i | \(-0.367206\pi\) | |||||||
\(360\) | 2.13448 | − | 10.7814i | 0.112497 | − | 0.568229i | ||||
\(361\) | 12.9658 | − | 12.9658i | 0.682412 | − | 0.682412i | ||||
\(362\) | 5.56640 | + | 1.10723i | 0.292564 | + | 0.0581945i | ||||
\(363\) | −54.2190 | − | 36.2280i | −2.84576 | − | 1.90147i | ||||
\(364\) | −5.78563 | − | 3.86583i | −0.303249 | − | 0.202625i | ||||
\(365\) | −6.98706 | + | 16.9113i | −0.365720 | + | 0.885175i | ||||
\(366\) | 15.0890 | + | 6.25006i | 0.788714 | + | 0.326696i | ||||
\(367\) | 14.9598 | − | 2.97569i | 0.780894 | − | 0.155330i | 0.211482 | − | 0.977382i | \(-0.432171\pi\) |
0.569412 | + | 0.822052i | \(0.307171\pi\) | |||||||
\(368\) | −3.88994 | + | 5.82170i | −0.202777 | + | 0.303477i | ||||
\(369\) | −21.6491 | − | 32.4002i | −1.12701 | − | 1.68669i | ||||
\(370\) | −0.0140055 | − | 15.5766i | −0.000728110 | − | 0.809790i | ||||
\(371\) | −0.251964 | + | 1.26671i | −0.0130813 | + | 0.0657643i | ||||
\(372\) | −4.01457 | − | 1.66289i | −0.208146 | − | 0.0862168i | ||||
\(373\) | 3.61554 | − | 3.61554i | 0.187206 | − | 0.187206i | −0.607281 | − | 0.794487i | \(-0.707740\pi\) |
0.794487 | + | 0.607281i | \(0.207740\pi\) | |||||||
\(374\) | −11.5100 | + | 21.1789i | −0.595169 | + | 1.09513i | ||||
\(375\) | −0.0848458 | − | 31.4546i | −0.00438142 | − | 1.62431i | ||||
\(376\) | −0.101575 | + | 0.0420738i | −0.00523834 | + | 0.00216979i | ||||
\(377\) | −9.35091 | + | 6.24808i | −0.481596 | + | 0.321792i | ||||
\(378\) | 7.02373 | 0.361261 | ||||||||
\(379\) | −20.5807 | + | 13.7516i | −1.05716 | + | 0.706372i | −0.957437 | − | 0.288643i | \(-0.906796\pi\) |
−0.0997236 | + | 0.995015i | \(0.531796\pi\) | |||||||
\(380\) | 1.01060 | − | 1.51542i | 0.0518426 | − | 0.0777392i | ||||
\(381\) | −5.56959 | + | 8.33548i | −0.285339 | + | 0.427039i | ||||
\(382\) | −0.109811 | − | 0.265107i | −0.00561842 | − | 0.0135641i | ||||
\(383\) | 6.42058 | + | 15.5006i | 0.328076 | + | 0.792046i | 0.998735 | + | 0.0502803i | \(0.0160115\pi\) |
−0.670659 | + | 0.741766i | \(0.733989\pi\) | |||||||
\(384\) | −1.56304 | + | 2.33925i | −0.0797634 | + | 0.119374i | ||||
\(385\) | 16.7103 | − | 3.33951i | 0.851636 | − | 0.170197i | ||||
\(386\) | −20.3846 | + | 13.6206i | −1.03755 | + | 0.693268i | ||||
\(387\) | 6.98982 | 0.355313 | ||||||||
\(388\) | 12.5171 | − | 8.36364i | 0.635458 | − | 0.424599i | ||||
\(389\) | −10.3937 | + | 4.30522i | −0.526983 | + | 0.218283i | −0.630281 | − | 0.776367i | \(-0.717060\pi\) |
0.103298 | + | 0.994650i | \(0.467060\pi\) | |||||||
\(390\) | −0.0301935 | − | 33.5806i | −0.00152891 | − | 1.70042i | ||||
\(391\) | 22.4424 | − | 18.1588i | 1.13496 | − | 0.918332i | ||||
\(392\) | 3.74819 | − | 3.74819i | 0.189312 | − | 0.189312i | ||||
\(393\) | 30.6501 | + | 12.6957i | 1.54609 | + | 0.640413i | ||||
\(394\) | −0.490864 | + | 2.46774i | −0.0247294 | + | 0.124323i | ||||
\(395\) | 11.4278 | − | 0.0102751i | 0.574995 | − | 0.000516998i | ||||
\(396\) | 15.9643 | + | 23.8923i | 0.802237 | + | 1.20063i | ||||
\(397\) | −20.7302 | + | 31.0249i | −1.04042 | + | 1.55710i | −0.228311 | + | 0.973588i | \(0.573320\pi\) |
−0.812107 | + | 0.583508i | \(0.801680\pi\) | |||||||
\(398\) | −12.6791 | + | 2.52203i | −0.635546 | + | 0.126418i | ||||
\(399\) | 2.76004 | + | 1.14325i | 0.138175 | + | 0.0572339i | ||||
\(400\) | −1.90511 | + | 4.62283i | −0.0952554 | + | 0.231142i | ||||
\(401\) | −3.29578 | − | 2.20217i | −0.164583 | − | 0.109971i | 0.470551 | − | 0.882373i | \(-0.344055\pi\) |
−0.635134 | + | 0.772402i | \(0.719055\pi\) | |||||||
\(402\) | 13.6432 | + | 9.11608i | 0.680460 | + | 0.454669i | ||||
\(403\) | −8.08613 | − | 1.60843i | −0.402799 | − | 0.0801217i | ||||
\(404\) | −4.77708 | + | 4.77708i | −0.237668 | + | 0.237668i | ||||
\(405\) | 0.514220 | + | 0.768089i | 0.0255518 | + | 0.0381666i | ||||
\(406\) | 1.05100 | + | 2.53735i | 0.0521604 | + | 0.125926i | ||||
\(407\) | 28.7969 | + | 28.7969i | 1.42741 | + | 1.42741i | ||||
\(408\) | 9.01770 | − | 7.29650i | 0.446443 | − | 0.361230i | ||||
\(409\) | − | 0.304764i | − | 0.0150696i | −0.999972 | − | 0.00753480i | \(-0.997602\pi\) | ||
0.999972 | − | 0.00753480i | \(-0.00239842\pi\) | |||||||
\(410\) | 6.79875 | + | 16.3720i | 0.335766 | + | 0.808555i | ||||
\(411\) | 37.4384 | + | 7.44696i | 1.84670 | + | 0.367332i | ||||
\(412\) | 6.72318i | 0.331227i | ||||||||
\(413\) | 1.39933 | − | 7.03493i | 0.0688568 | − | 0.346166i | ||||
\(414\) | −6.71394 | − | 33.7533i | −0.329972 | − | 1.65888i | ||||
\(415\) | −3.20131 | + | 4.80044i | −0.157146 | + | 0.235644i | ||||
\(416\) | −2.04274 | + | 4.93161i | −0.100154 | + | 0.241792i | ||||
\(417\) | 26.7947 | − | 11.0987i | 1.31214 | − | 0.543506i | ||||
\(418\) | 0.929070 | + | 4.67075i | 0.0454423 | + | 0.228454i | ||||
\(419\) | −35.8559 | + | 7.13218i | −1.75168 | + | 0.348430i | −0.963641 | − | 0.267201i | \(-0.913901\pi\) |
−0.788035 | + | 0.615631i | \(0.788901\pi\) | |||||||
\(420\) | −8.04446 | − | 1.59263i | −0.392530 | − | 0.0777122i | ||||
\(421\) | 15.7246 | + | 15.7246i | 0.766371 | + | 0.766371i | 0.977466 | − | 0.211095i | \(-0.0677029\pi\) |
−0.211095 | + | 0.977466i | \(0.567703\pi\) | |||||||
\(422\) | 7.92328 | + | 11.8580i | 0.385699 | + | 0.577240i | ||||
\(423\) | 0.206800 | − | 0.499259i | 0.0100550 | − | 0.0242748i | ||||
\(424\) | 0.990769 | 0.0481160 | ||||||||
\(425\) | 13.1601 | − | 15.8686i | 0.638359 | − | 0.769738i | ||||
\(426\) | 15.4599 | 0.749034 | ||||||||
\(427\) | 2.89591 | − | 6.99134i | 0.140143 | − | 0.338335i | ||||
\(428\) | 9.29153 | + | 13.9058i | 0.449123 | + | 0.672160i | ||||
\(429\) | 62.0814 | + | 62.0814i | 2.99732 | + | 2.99732i | ||||
\(430\) | −3.11935 | − | 0.617562i | −0.150428 | − | 0.0297815i | ||||
\(431\) | −34.8166 | + | 6.92546i | −1.67706 | + | 0.333588i | −0.939722 | − | 0.341939i | \(-0.888916\pi\) |
−0.737336 | + | 0.675526i | \(0.763916\pi\) | |||||||
\(432\) | −1.05117 | − | 5.28458i | −0.0505744 | − | 0.254255i | ||||
\(433\) | 4.35002 | − | 1.80184i | 0.209048 | − | 0.0865907i | −0.275702 | − | 0.961243i | \(-0.588910\pi\) |
0.484751 | + | 0.874652i | \(0.338910\pi\) | |||||||
\(434\) | −0.770484 | + | 1.86011i | −0.0369844 | + | 0.0892883i | ||||
\(435\) | −7.35365 | + | 11.0270i | −0.352581 | + | 0.528703i | ||||
\(436\) | 0.474319 | + | 2.38457i | 0.0227158 | + | 0.114200i | ||||
\(437\) | 1.11270 | − | 5.59393i | 0.0532278 | − | 0.267594i | ||||
\(438\) | 23.0220i | 1.10004i | ||||||||
\(439\) | −16.6816 | − | 3.31818i | −0.796170 | − | 0.158368i | −0.219787 | − | 0.975548i | \(-0.570536\pi\) |
−0.576383 | + | 0.817180i | \(0.695536\pi\) | |||||||
\(440\) | −5.01348 | − | 12.0729i | −0.239008 | − | 0.575553i | ||||
\(441\) | 26.0540i | 1.24067i | ||||||||
\(442\) | 14.0800 | − | 16.9158i | 0.669718 | − | 0.804602i | ||||
\(443\) | 8.08098 | + | 8.08098i | 0.383939 | + | 0.383939i | 0.872519 | − | 0.488580i | \(-0.162485\pi\) |
−0.488580 | + | 0.872519i | \(0.662485\pi\) | |||||||
\(444\) | −7.49994 | − | 18.1065i | −0.355931 | − | 0.859295i | ||||
\(445\) | −1.37095 | − | 2.04778i | −0.0649893 | − | 0.0970743i | ||||
\(446\) | 9.65170 | − | 9.65170i | 0.457021 | − | 0.457021i | ||||
\(447\) | −53.1782 | − | 10.5778i | −2.51524 | − | 0.500313i | ||||
\(448\) | 1.08387 | + | 0.724218i | 0.0512080 | + | 0.0342161i | ||||
\(449\) | 9.49028 | + | 6.34120i | 0.447874 | + | 0.299260i | 0.758978 | − | 0.651116i | \(-0.225699\pi\) |
−0.311104 | + | 0.950376i | \(0.600699\pi\) | |||||||
\(450\) | −9.44558 | − | 22.6882i | −0.445269 | − | 1.06953i | ||||
\(451\) | −42.8205 | − | 17.7368i | −2.01634 | − | 0.835194i | ||||
\(452\) | −11.0962 | + | 2.20717i | −0.521920 | + | 0.103816i | ||||
\(453\) | −13.3325 | + | 19.9534i | −0.626414 | + | 0.937494i | ||||
\(454\) | −4.38201 | − | 6.55814i | −0.205658 | − | 0.307789i | ||||
\(455\) | −15.5593 | + | 0.0139899i | −0.729429 | + | 0.000655855i | ||||
\(456\) | 0.447101 | − | 2.24773i | 0.0209374 | − | 0.105260i | ||||
\(457\) | −7.42458 | − | 3.07536i | −0.347307 | − | 0.143859i | 0.202209 | − | 0.979342i | \(-0.435188\pi\) |
−0.549516 | + | 0.835483i | \(0.685188\pi\) | |||||||
\(458\) | −7.49447 | + | 7.49447i | −0.350193 | + | 0.350193i | ||||
\(459\) | −2.33090 | + | 22.0932i | −0.108797 | + | 1.03122i | ||||
\(460\) | 0.0140771 | + | 15.6563i | 0.000656348 | + | 0.729978i | ||||
\(461\) | 32.2280 | − | 13.3493i | 1.50101 | − | 0.621737i | 0.527328 | − | 0.849662i | \(-0.323194\pi\) |
0.973679 | + | 0.227924i | \(0.0731939\pi\) | |||||||
\(462\) | 17.8271 | − | 11.9117i | 0.829390 | − | 0.554181i | ||||
\(463\) | −39.0872 | −1.81654 | −0.908269 | − | 0.418386i | \(-0.862596\pi\) | ||||
−0.908269 | + | 0.418386i | \(0.862596\pi\) | |||||||
\(464\) | 1.75178 | − | 1.17050i | 0.0813245 | − | 0.0543393i | ||||
\(465\) | −9.52806 | + | 1.90416i | −0.441853 | + | 0.0883032i | ||||
\(466\) | −1.32642 | + | 1.98513i | −0.0614454 | + | 0.0919595i | ||||
\(467\) | −6.46053 | − | 15.5971i | −0.298958 | − | 0.721748i | −0.999963 | − | 0.00859198i | \(-0.997265\pi\) |
0.701005 | − | 0.713156i | \(-0.252735\pi\) | |||||||
\(468\) | −10.0404 | − | 24.2397i | −0.464118 | − | 1.12048i | ||||
\(469\) | 4.22385 | − | 6.32144i | 0.195039 | − | 0.291897i | ||||
\(470\) | −0.136399 | + | 0.204533i | −0.00629162 | + | 0.00943442i | ||||
\(471\) | −2.05856 | + | 1.37549i | −0.0948535 | + | 0.0633791i | ||||
\(472\) | −5.50244 | −0.253270 | ||||||||
\(473\) | 6.91269 | − | 4.61891i | 0.317846 | − | 0.212378i | ||||
\(474\) | 13.2838 | − | 5.50235i | 0.610147 | − | 0.252731i | ||||
\(475\) | −0.00732427 | − | 4.07295i | −0.000336060 | − | 0.186880i | ||||
\(476\) | −3.38077 | − | 4.17827i | −0.154957 | − | 0.191511i | ||||
\(477\) | −3.44347 | + | 3.44347i | −0.157665 | + | 0.157665i | ||||
\(478\) | 9.68071 | + | 4.00988i | 0.442785 | + | 0.183408i | ||||
\(479\) | −1.23929 | + | 6.23034i | −0.0566247 | + | 0.284672i | −0.998714 | − | 0.0506892i | \(-0.983858\pi\) |
0.942090 | + | 0.335361i | \(0.108858\pi\) | |||||||
\(480\) | 0.00565639 | + | 6.29093i | 0.000258178 | + | 0.287140i | ||||
\(481\) | −20.6586 | − | 30.9178i | −0.941950 | − | 1.40973i | ||||
\(482\) | −3.60143 | + | 5.38993i | −0.164041 | + | 0.245504i | ||||
\(483\) | −25.1848 | + | 5.00957i | −1.14595 | + | 0.227943i | ||||
\(484\) | 21.4136 | + | 8.86981i | 0.973346 | + | 0.403173i | ||||
\(485\) | 12.8540 | − | 31.1113i | 0.583668 | − | 1.41269i | ||||
\(486\) | −12.4732 | − | 8.33431i | −0.565795 | − | 0.378052i | ||||
\(487\) | 22.4720 | + | 15.0153i | 1.01830 | + | 0.680407i | 0.948377 | − | 0.317145i | \(-0.102724\pi\) |
0.0699246 | + | 0.997552i | \(0.477724\pi\) | |||||||
\(488\) | −5.69362 | − | 1.13253i | −0.257738 | − | 0.0512673i | ||||
\(489\) | −13.5538 | + | 13.5538i | −0.612924 | + | 0.612924i | ||||
\(490\) | 2.30191 | − | 11.6271i | 0.103990 | − | 0.525260i | ||||
\(491\) | −0.0788074 | − | 0.190258i | −0.00355653 | − | 0.00858621i | 0.922091 | − | 0.386972i | \(-0.126479\pi\) |
−0.925648 | + | 0.378386i | \(0.876479\pi\) | |||||||
\(492\) | 15.7717 | + | 15.7717i | 0.711042 | + | 0.711042i | ||||
\(493\) | −8.33002 | + | 2.46389i | −0.375165 | + | 0.110968i | ||||
\(494\) | − | 4.34824i | − | 0.195636i | ||||||
\(495\) | 59.3845 | + | 24.5353i | 2.66914 | + | 1.10278i | ||||
\(496\) | 1.51484 | + | 0.301321i | 0.0680184 | + | 0.0135297i | ||||
\(497\) | − | 7.16319i | − | 0.321313i | ||||||
\(498\) | −1.41630 | + | 7.12021i | −0.0634658 | + | 0.319064i | ||||
\(499\) | −4.34370 | − | 21.8373i | −0.194451 | − | 0.977570i | −0.947536 | − | 0.319648i | \(-0.896435\pi\) |
0.753086 | − | 0.657923i | \(-0.228565\pi\) | |||||||
\(500\) | 2.21075 | + | 10.9596i | 0.0988676 | + | 0.490128i | ||||
\(501\) | −14.4507 | + | 34.8871i | −0.645609 | + | 1.55864i | ||||
\(502\) | −20.1650 | + | 8.35260i | −0.900007 | + | 0.372795i | ||||
\(503\) | 0.317750 | + | 1.59744i | 0.0141678 | + | 0.0712262i | 0.987222 | − | 0.159349i | \(-0.0509394\pi\) |
−0.973055 | + | 0.230575i | \(0.925939\pi\) | |||||||
\(504\) | −6.28410 | + | 1.24998i | −0.279916 | + | 0.0556787i | ||||
\(505\) | −2.93380 | + | 14.8188i | −0.130552 | + | 0.659429i | ||||
\(506\) | −28.9442 | − | 28.9442i | −1.28673 | − | 1.28673i | ||||
\(507\) | −24.2170 | − | 36.2433i | −1.07552 | − | 1.60962i | ||||
\(508\) | 1.36362 | − | 3.29207i | 0.0605009 | − | 0.146062i | ||||
\(509\) | −35.1547 | −1.55820 | −0.779102 | − | 0.626897i | \(-0.784325\pi\) | ||||
−0.779102 | + | 0.626897i | \(0.784325\pi\) | |||||||
\(510\) | 7.67926 | − | 24.7754i | 0.340043 | − | 1.09707i | ||||
\(511\) | 10.6671 | 0.471883 | ||||||||
\(512\) | 0.382683 | − | 0.923880i | 0.0169124 | − | 0.0408301i | ||||
\(513\) | 2.43846 | + | 3.64941i | 0.107661 | + | 0.161126i | ||||
\(514\) | 6.86243 | + | 6.86243i | 0.302689 | + | 0.302689i | ||||
\(515\) | 8.36339 | + | 12.4924i | 0.368535 | + | 0.550479i | ||||
\(516\) | −3.92402 | + | 0.780537i | −0.172746 | + | 0.0343612i | ||||
\(517\) | −0.125395 | − | 0.630404i | −0.00551487 | − | 0.0277251i | ||||
\(518\) | −8.38946 | + | 3.47503i | −0.368612 | + | 0.152684i | ||||
\(519\) | 25.4529 | − | 61.4487i | 1.11726 | − | 2.69730i | ||||
\(520\) | 2.33912 | + | 11.7045i | 0.102577 | + | 0.513278i | ||||
\(521\) | 6.77862 | + | 34.0784i | 0.296977 | + | 1.49300i | 0.784629 | + | 0.619965i | \(0.212853\pi\) |
−0.487653 | + | 0.873038i | \(0.662147\pi\) | |||||||
\(522\) | −2.02026 | + | 10.1566i | −0.0884246 | + | 0.444540i | ||||
\(523\) | − | 0.224643i | − | 0.00982294i | −0.999988 | − | 0.00491147i | \(-0.998437\pi\) | ||
0.999988 | − | 0.00491147i | \(-0.00156338\pi\) | |||||||
\(524\) | −11.5654 | − | 2.30050i | −0.505237 | − | 0.100498i | ||||
\(525\) | −16.9286 | + | 7.04776i | −0.738826 | + | 0.307589i | ||||
\(526\) | 16.0185i | 0.698438i | ||||||||
\(527\) | −5.59530 | − | 3.04086i | −0.243735 | − | 0.132462i | ||||
\(528\) | −11.6302 | − | 11.6302i | −0.506140 | − | 0.506140i | ||||
\(529\) | 9.95889 | + | 24.0429i | 0.432995 | + | 1.04534i | ||||
\(530\) | 1.84095 | − | 1.23248i | 0.0799659 | − | 0.0535355i | ||||
\(531\) | 19.1240 | − | 19.1240i | 0.829911 | − | 0.829911i | ||||
\(532\) | −1.04146 | − | 0.207160i | −0.0451532 | − | 0.00898153i | ||||
\(533\) | 35.1871 | + | 23.5112i | 1.52412 | + | 1.01838i | ||||
\(534\) | −2.57804 | − | 1.72259i | −0.111563 | − | 0.0745439i | ||||
\(535\) | 34.5629 | + | 14.2800i | 1.49429 | + | 0.617380i | ||||
\(536\) | −5.38834 | − | 2.23192i | −0.232741 | − | 0.0964043i | ||||
\(537\) | −68.4438 | + | 13.6143i | −2.95357 | + | 0.587501i | ||||
\(538\) | −9.15792 | + | 13.7058i | −0.394826 | + | 0.590899i | ||||
\(539\) | 17.2166 | + | 25.7665i | 0.741572 | + | 1.10984i | ||||
\(540\) | −8.52702 | − | 8.51170i | −0.366944 | − | 0.366285i | ||||
\(541\) | 6.22565 | − | 31.2985i | 0.267662 | − | 1.34563i | −0.579796 | − | 0.814762i | \(-0.696868\pi\) |
0.847457 | − | 0.530864i | \(-0.178132\pi\) | |||||||
\(542\) | 4.77923 | + | 1.97962i | 0.205286 | + | 0.0850321i | ||||
\(543\) | 11.2906 | − | 11.2906i | 0.484525 | − | 0.484525i | ||||
\(544\) | −2.63773 | + | 3.16897i | −0.113092 | + | 0.135869i | ||||
\(545\) | 3.84765 | + | 3.84074i | 0.164815 | + | 0.164519i | ||||
\(546\) | −18.0863 | + | 7.49159i | −0.774022 | + | 0.320610i | ||||
\(547\) | −5.72658 | + | 3.82638i | −0.244851 | + | 0.163604i | −0.671940 | − | 0.740605i | \(-0.734539\pi\) |
0.427090 | + | 0.904209i | \(0.359539\pi\) | |||||||
\(548\) | −13.5679 | −0.579593 | ||||||||
\(549\) | 23.7246 | − | 15.8523i | 1.01254 | − | 0.676559i | ||||
\(550\) | −24.3338 | − | 16.1961i | −1.03760 | − | 0.690605i | ||||
\(551\) | −0.953483 | + | 1.42699i | −0.0406197 | + | 0.0607917i | ||||
\(552\) | 7.53830 | + | 18.1991i | 0.320851 | + | 0.774604i | ||||
\(553\) | −2.54946 | − | 6.15494i | −0.108414 | − | 0.261735i | ||||
\(554\) | −11.4847 | + | 17.1880i | −0.487936 | + | 0.730248i | ||||
\(555\) | −36.4595 | − | 24.3140i | −1.54762 | − | 1.03207i | ||||
\(556\) | −8.57135 | + | 5.72719i | −0.363506 | + | 0.242887i | ||||
\(557\) | −33.2286 | −1.40794 | −0.703971 | − | 0.710228i | \(-0.748592\pi\) | ||||
−0.703971 | + | 0.710228i | \(0.748592\pi\) | |||||||
\(558\) | −6.31216 | + | 4.21765i | −0.267215 | + | 0.178548i | ||||
\(559\) | −7.01321 | + | 2.90496i | −0.296627 | + | 0.122867i | ||||
\(560\) | 2.91484 | − | 0.00262084i | 0.123175 | − | 0.000110751i | ||||
\(561\) | 31.5521 | + | 60.0281i | 1.33213 | + | 2.53439i | ||||
\(562\) | 0.924680 | − | 0.924680i | 0.0390053 | − | 0.0390053i | ||||
\(563\) | 20.5149 | + | 8.49755i | 0.864600 | + | 0.358129i | 0.770505 | − | 0.637434i | \(-0.220004\pi\) |
0.0940950 | + | 0.995563i | \(0.470004\pi\) | |||||||
\(564\) | −0.0603445 | + | 0.303372i | −0.00254096 | + | 0.0127743i | ||||
\(565\) | −17.8722 | + | 17.9044i | −0.751890 | + | 0.753243i | ||||
\(566\) | −2.53325 | − | 3.79127i | −0.106480 | − | 0.159359i | ||||
\(567\) | 0.299372 | − | 0.448041i | 0.0125724 | − | 0.0188160i | ||||
\(568\) | −5.38952 | + | 1.07204i | −0.226139 | + | 0.0449819i | ||||
\(569\) | −13.2905 | − | 5.50510i | −0.557166 | − | 0.230786i | 0.0862883 | − | 0.996270i | \(-0.472499\pi\) |
−0.643454 | + | 0.765484i | \(0.722499\pi\) | |||||||
\(570\) | −1.96533 | − | 4.73269i | −0.0823187 | − | 0.198231i | ||||
\(571\) | 17.4454 | + | 11.6566i | 0.730068 | + | 0.487816i | 0.864200 | − | 0.503148i | \(-0.167825\pi\) |
−0.134133 | + | 0.990963i | \(0.542825\pi\) | |||||||
\(572\) | −25.9473 | − | 17.3375i | −1.08491 | − | 0.724915i | ||||
\(573\) | −0.791791 | − | 0.157497i | −0.0330775 | − | 0.00657953i | ||||
\(574\) | 7.30766 | − | 7.30766i | 0.305016 | − | 0.305016i | ||||
\(575\) | 19.5020 | + | 29.0735i | 0.813290 | + | 1.21245i | ||||
\(576\) | 1.88095 | + | 4.54102i | 0.0783731 | + | 0.189209i | ||||
\(577\) | −13.0297 | − | 13.0297i | −0.542435 | − | 0.542435i | 0.381807 | − | 0.924242i | \(-0.375302\pi\) |
−0.924242 | + | 0.381807i | \(0.875302\pi\) | |||||||
\(578\) | 14.2647 | − | 9.24760i | 0.593334 | − | 0.384650i | ||||
\(579\) | 68.9741i | 2.86646i | ||||||||
\(580\) | 1.79893 | − | 4.35408i | 0.0746966 | − | 0.180793i | ||||
\(581\) | 3.29908 | + | 0.656228i | 0.136869 | + | 0.0272249i | ||||
\(582\) | − | 42.3532i | − | 1.75560i | ||||||
\(583\) | −1.13001 | + | 5.68093i | −0.0468001 | + | 0.235280i | ||||
\(584\) | −1.59643 | − | 8.02579i | −0.0660607 | − | 0.332110i | ||||
\(585\) | −48.8094 | − | 32.5500i | −2.01802 | − | 1.34578i | ||||
\(586\) | 11.9708 | − | 28.9001i | 0.494510 | − | 1.19385i | ||||
\(587\) | 21.5891 | − | 8.94250i | 0.891077 | − | 0.369096i | 0.110295 | − | 0.993899i | \(-0.464821\pi\) |
0.780783 | + | 0.624803i | \(0.214821\pi\) | |||||||
\(588\) | −2.90939 | − | 14.6265i | −0.119981 | − | 0.603186i | ||||
\(589\) | −1.23398 | + | 0.245453i | −0.0508452 | + | 0.0101137i | ||||
\(590\) | −10.2241 | + | 6.84484i | −0.420920 | + | 0.281798i | ||||
\(591\) | 5.00542 | + | 5.00542i | 0.205895 | + | 0.205895i | ||||
\(592\) | 3.87014 | + | 5.79208i | 0.159062 | + | 0.238053i | ||||
\(593\) | 10.6733 | − | 25.7677i | 0.438301 | − | 1.05815i | −0.538234 | − | 0.842795i | \(-0.680908\pi\) |
0.976535 | − | 0.215357i | \(-0.0690916\pi\) | |||||||
\(594\) | 31.4999 | 1.29246 | ||||||||
\(595\) | −11.4794 | − | 3.55811i | −0.470611 | − | 0.145868i | ||||
\(596\) | 19.2721 | 0.789417 | ||||||||
\(597\) | −13.9182 | + | 33.6016i | −0.569636 | + | 1.37522i | ||||
\(598\) | 20.7642 | + | 31.0759i | 0.849113 | + | 1.27079i | ||||
\(599\) | −6.03820 | − | 6.03820i | −0.246714 | − | 0.246714i | 0.572907 | − | 0.819621i | \(-0.305816\pi\) |
−0.819621 | + | 0.572907i | \(0.805816\pi\) | |||||||
\(600\) | 7.83620 | + | 11.6822i | 0.319912 | + | 0.476923i | ||||
\(601\) | −1.21570 | + | 0.241819i | −0.0495896 | + | 0.00986398i | −0.219823 | − | 0.975540i | \(-0.570548\pi\) |
0.170233 | + | 0.985404i | \(0.445548\pi\) | |||||||
\(602\) | 0.361655 | + | 1.81816i | 0.0147399 | + | 0.0741027i | ||||
\(603\) | 26.4846 | − | 10.9703i | 1.07854 | − | 0.446744i | ||||
\(604\) | 3.26423 | − | 7.88055i | 0.132820 | − | 0.320655i | ||||
\(605\) | 50.8225 | − | 10.1567i | 2.06623 | − | 0.412930i | ||||
\(606\) | 3.70803 | + | 18.6415i | 0.150628 | + | 0.757260i | ||||
\(607\) | 7.10414 | − | 35.7149i | 0.288348 | − | 1.44962i | −0.516574 | − | 0.856243i | \(-0.672793\pi\) |
0.804922 | − | 0.593381i | \(-0.202207\pi\) | |||||||
\(608\) | 0.814591i | 0.0330360i | ||||||||
\(609\) | 7.57824 | + | 1.50741i | 0.307086 | + | 0.0610832i | ||||
\(610\) | −11.9882 | + | 4.97830i | −0.485387 | + | 0.201565i | ||||
\(611\) | 0.586875i | 0.0237424i | ||||||||
\(612\) | −1.84638 | − | 20.1815i | −0.0746355 | − | 0.815788i | ||||
\(613\) | −1.67709 | − | 1.67709i | −0.0677372 | − | 0.0677372i | 0.672427 | − | 0.740164i | \(-0.265252\pi\) |
−0.740164 | + | 0.672427i | \(0.765252\pi\) | |||||||
\(614\) | −6.55792 | − | 15.8322i | −0.264656 | − | 0.638936i | ||||
\(615\) | 48.9249 | + | 9.68604i | 1.97284 | + | 0.390579i | ||||
\(616\) | −5.38876 | + | 5.38876i | −0.217119 | + | 0.217119i | ||||
\(617\) | 9.31821 | + | 1.85351i | 0.375137 | + | 0.0746194i | 0.379058 | − | 0.925373i | \(-0.376248\pi\) |
−0.00392093 | + | 0.999992i | \(0.501248\pi\) | |||||||
\(618\) | 15.7272 | + | 10.5086i | 0.632640 | + | 0.422717i | ||||
\(619\) | 33.6978 | + | 22.5162i | 1.35443 | + | 0.905001i | 0.999553 | − | 0.0299118i | \(-0.00952263\pi\) |
0.354877 | + | 0.934913i | \(0.384523\pi\) | |||||||
\(620\) | 3.18957 | − | 1.32452i | 0.128096 | − | 0.0531942i | ||||
\(621\) | −34.8543 | − | 14.4371i | −1.39865 | − | 0.579341i | ||||
\(622\) | 5.38379 | − | 1.07090i | 0.215870 | − | 0.0429393i | ||||
\(623\) | −0.798148 | + | 1.19451i | −0.0319771 | + | 0.0478571i | ||||
\(624\) | 8.34339 | + | 12.4868i | 0.334003 | + | 0.499871i | ||||
\(625\) | 17.7411 | + | 17.6140i | 0.709645 | + | 0.704559i | ||||
\(626\) | 1.25044 | − | 6.28639i | 0.0499777 | − | 0.251255i | ||||
\(627\) | 12.3782 | + | 5.12723i | 0.494338 | + | 0.204762i | ||||
\(628\) | 0.622261 | − | 0.622261i | 0.0248309 | − | 0.0248309i | ||||
\(629\) | −8.14658 | − | 27.5423i | −0.324825 | − | 1.09818i | ||||
\(630\) | −10.1216 | + | 10.1398i | −0.403253 | + | 0.403979i | ||||
\(631\) | −12.6410 | + | 5.23609i | −0.503232 | + | 0.208446i | −0.619834 | − | 0.784733i | \(-0.712800\pi\) |
0.116602 | + | 0.993179i | \(0.462800\pi\) | |||||||
\(632\) | −4.24937 | + | 2.83934i | −0.169031 | + | 0.112943i | ||||
\(633\) | 40.1233 | 1.59476 | ||||||||
\(634\) | 16.0464 | − | 10.7218i | 0.637283 | − | 0.425819i | ||||
\(635\) | −1.56147 | − | 7.81331i | −0.0619650 | − | 0.310062i | ||||
\(636\) | 1.54861 | − | 2.31766i | 0.0614063 | − | 0.0919010i | ||||
\(637\) | −10.8280 | − | 26.1412i | −0.429022 | − | 1.03575i | ||||
\(638\) | 4.71353 | + | 11.3795i | 0.186611 | + | 0.450518i | ||||
\(639\) | 15.0056 | − | 22.4575i | 0.593613 | − | 0.888404i | ||||
\(640\) | −0.438207 | − | 2.19271i | −0.0173217 | − | 0.0866745i | ||||
\(641\) | −28.3365 | + | 18.9339i | −1.11923 | + | 0.747843i | −0.970516 | − | 0.241038i | \(-0.922512\pi\) |
−0.148711 | + | 0.988881i | \(0.547512\pi\) | |||||||
\(642\) | 47.0520 | 1.85700 | ||||||||
\(643\) | −9.56293 | + | 6.38975i | −0.377125 | + | 0.251987i | −0.729658 | − | 0.683813i | \(-0.760321\pi\) |
0.352532 | + | 0.935800i | \(0.385321\pi\) | |||||||
\(644\) | 8.43237 | − | 3.49280i | 0.332282 | − | 0.137636i | ||||
\(645\) | −6.32029 | + | 6.33167i | −0.248861 | + | 0.249309i | ||||
\(646\) | 0.997245 | − | 3.20718i | 0.0392361 | − | 0.126185i | ||||
\(647\) | 22.0524 | − | 22.0524i | 0.866968 | − | 0.866968i | −0.125168 | − | 0.992136i | \(-0.539947\pi\) |
0.992136 | + | 0.125168i | \(0.0399469\pi\) | |||||||
\(648\) | −0.381906 | − | 0.158191i | −0.0150027 | − | 0.00621432i | ||||
\(649\) | 6.27573 | − | 31.5502i | 0.246344 | − | 1.23845i | ||||
\(650\) | 18.9064 | + | 18.8385i | 0.741569 | + | 0.738906i | ||||
\(651\) | 3.14697 | + | 4.70978i | 0.123340 | + | 0.184591i | ||||
\(652\) | 3.78517 | − | 5.66490i | 0.148239 | − | 0.221855i | ||||
\(653\) | −45.3548 | + | 9.02163i | −1.77487 | + | 0.353044i | −0.970503 | − | 0.241088i | \(-0.922496\pi\) |
−0.804368 | + | 0.594132i | \(0.797496\pi\) | |||||||
\(654\) | 6.31947 | + | 2.61761i | 0.247111 | + | 0.102357i | ||||
\(655\) | −24.3515 | + | 10.1124i | −0.951490 | + | 0.395123i | ||||
\(656\) | −6.59188 | − | 4.40455i | −0.257370 | − | 0.171969i | ||||
\(657\) | 33.4425 | + | 22.3456i | 1.30472 | + | 0.871783i | ||||
\(658\) | 0.140565 | + | 0.0279601i | 0.00547979 | + | 0.00109000i | ||||
\(659\) | 26.4734 | − | 26.4734i | 1.03126 | − | 1.03126i | 0.0317611 | − | 0.999495i | \(-0.489888\pi\) |
0.999495 | − | 0.0317611i | \(-0.0101116\pi\) | |||||||
\(660\) | −36.0777 | − | 7.14259i | −1.40432 | − | 0.278025i | ||||
\(661\) | −3.99375 | − | 9.64176i | −0.155339 | − | 0.375021i | 0.826981 | − | 0.562229i | \(-0.190056\pi\) |
−0.982320 | + | 0.187208i | \(0.940056\pi\) | |||||||
\(662\) | −10.2265 | − | 10.2265i | −0.397465 | − | 0.397465i | ||||
\(663\) | −17.5627 | − | 59.3767i | −0.682077 | − | 2.30600i | ||||
\(664\) | − | 2.58041i | − | 0.100139i | ||||||
\(665\) | −2.19285 | + | 0.910619i | −0.0850350 | + | 0.0353123i | ||||
\(666\) | −33.5815 | − | 6.67978i | −1.30126 | − | 0.258836i | ||||
\(667\) | − | 14.7516i | − | 0.571182i | ||||||
\(668\) | 2.61851 | − | 13.1642i | 0.101313 | − | 0.509336i | ||||
\(669\) | −7.49177 | − | 37.6637i | −0.289649 | − | 1.45616i | ||||
\(670\) | −12.7885 | + | 2.55575i | −0.494064 | + | 0.0987373i | ||||
\(671\) | 12.9876 | − | 31.3547i | 0.501379 | − | 1.21044i | ||||
\(672\) | 3.38825 | − | 1.40346i | 0.130705 | − | 0.0541397i | ||||
\(673\) | −1.81154 | − | 9.10724i | −0.0698299 | − | 0.351058i | 0.930035 | − | 0.367470i | \(-0.119776\pi\) |
−0.999865 | + | 0.0164114i | \(0.994776\pi\) | |||||||
\(674\) | −8.43768 | + | 1.67836i | −0.325007 | + | 0.0646480i | ||||
\(675\) | −26.4323 | − | 5.20832i | −1.01738 | − | 0.200468i | ||||
\(676\) | 10.9556 | + | 10.9556i | 0.421370 | + | 0.421370i | ||||
\(677\) | 21.1958 | + | 31.7217i | 0.814619 | + | 1.21916i | 0.972776 | + | 0.231749i | \(0.0744449\pi\) |
−0.158157 | + | 0.987414i | \(0.550555\pi\) | |||||||
\(678\) | −12.1806 | + | 29.4066i | −0.467794 | + | 1.12935i | ||||
\(679\) | −19.6240 | −0.753099 | ||||||||
\(680\) | −0.959081 | + | 9.16952i | −0.0367791 | + | 0.351635i | ||||
\(681\) | −22.1904 | −0.850336 | ||||||||
\(682\) | −3.45546 | + | 8.34222i | −0.132316 | + | 0.319440i | ||||
\(683\) | −15.1546 | − | 22.6804i | −0.579874 | − | 0.867842i | 0.419326 | − | 0.907836i | \(-0.362266\pi\) |
−0.999200 | + | 0.0399935i | \(0.987266\pi\) | |||||||
\(684\) | −2.83115 | − | 2.83115i | −0.108252 | − | 0.108252i | ||||
\(685\) | −25.2106 | + | 16.8780i | −0.963249 | + | 0.644876i | ||||
\(686\) | −15.7266 | + | 3.12822i | −0.600445 | + | 0.119436i | ||||
\(687\) | 5.81730 | + | 29.2455i | 0.221944 | + | 1.11579i | ||||
\(688\) | 1.31384 | − | 0.544211i | 0.0500898 | − | 0.0207479i | ||||
\(689\) | 2.02388 | − | 4.88609i | 0.0771038 | − | 0.186145i | ||||
\(690\) | 36.6459 | + | 24.4384i | 1.39509 | + | 0.930354i | ||||
\(691\) | −5.53015 | − | 27.8020i | −0.210377 | − | 1.05764i | −0.931198 | − | 0.364515i | \(-0.881235\pi\) |
0.720821 | − | 0.693122i | \(-0.243765\pi\) | |||||||
\(692\) | −4.61214 | + | 23.1868i | −0.175327 | + | 0.881430i | ||||
\(693\) | − | 37.4578i | − | 1.42290i | ||||||
\(694\) | 33.4249 | + | 6.64863i | 1.26879 | + | 0.252378i | ||||
\(695\) | −8.80205 | + | 21.3042i | −0.333881 | + | 0.808114i | ||||
\(696\) | − | 5.92740i | − | 0.224677i | ||||||
\(697\) | 20.5612 | + | 25.4114i | 0.778809 | + | 0.962526i | ||||
\(698\) | −4.84321 | − | 4.84321i | −0.183318 | − | 0.183318i | ||||
\(699\) | 2.57047 | + | 6.20567i | 0.0972242 | + | 0.234720i | ||||
\(700\) | 5.41283 | − | 3.63083i | 0.204586 | − | 0.137233i | ||||
\(701\) | −2.93942 | + | 2.93942i | −0.111020 | + | 0.111020i | −0.760435 | − | 0.649414i | \(-0.775014\pi\) |
0.649414 | + | 0.760435i | \(0.275014\pi\) | |||||||
\(702\) | −28.2088 | − | 5.61108i | −1.06467 | − | 0.211776i | ||||
\(703\) | −4.71818 | − | 3.15259i | −0.177949 | − | 0.118902i | ||||
\(704\) | 4.86093 | + | 3.24797i | 0.183203 | + | 0.122412i | ||||
\(705\) | 0.265258 | + | 0.638764i | 0.00999019 | + | 0.0240573i | ||||
\(706\) | 21.9153 | + | 9.07762i | 0.824794 | + | 0.341641i | ||||
\(707\) | 8.63737 | − | 1.71808i | 0.324842 | − | 0.0646151i | ||||
\(708\) | −8.60051 | + | 12.8716i | −0.323227 | + | 0.483744i | ||||
\(709\) | 9.66796 | + | 14.4691i | 0.363088 | + | 0.543399i | 0.967369 | − | 0.253372i | \(-0.0815396\pi\) |
−0.604281 | + | 0.796771i | \(0.706540\pi\) | |||||||
\(710\) | −8.68071 | + | 8.69634i | −0.325781 | + | 0.326368i | ||||
\(711\) | 4.90063 | − | 24.6371i | 0.183788 | − | 0.923965i | ||||
\(712\) | 1.01819 | + | 0.421748i | 0.0381583 | + | 0.0158057i | ||||
\(713\) | 7.64684 | − | 7.64684i | 0.286377 | − | 0.286377i | ||||
\(714\) | −15.0583 | + | 1.37767i | −0.563542 | + | 0.0515578i | ||||
\(715\) | −69.7800 | + | 0.0627416i | −2.60963 | + | 0.00234640i | ||||
\(716\) | 22.9163 | − | 9.49226i | 0.856424 | − | 0.354742i | ||||
\(717\) | 24.5114 | − | 16.3780i | 0.915395 | − | 0.611647i | ||||
\(718\) | 26.1314 | 0.975216 | ||||||||
\(719\) | 7.89793 | − | 5.27723i | 0.294543 | − | 0.196807i | −0.399515 | − | 0.916727i | \(-0.630821\pi\) |
0.694058 | + | 0.719919i | \(0.255821\pi\) | |||||||
\(720\) | 9.14388 | + | 6.09786i | 0.340772 | + | 0.227254i | ||||
\(721\) | 4.86905 | − | 7.28705i | 0.181333 | − | 0.271384i | ||||
\(722\) | 7.01705 | + | 16.9407i | 0.261148 | + | 0.630466i | ||||
\(723\) | 6.97921 | + | 16.8493i | 0.259560 | + | 0.626632i | ||||
\(724\) | −3.15311 | + | 4.71897i | −0.117185 | + | 0.175379i | ||||
\(725\) | −2.07371 | − | 10.3281i | −0.0770156 | − | 0.383577i | ||||
\(726\) | 54.2190 | − | 36.2280i | 2.01225 | − | 1.34455i | ||||
\(727\) | 11.5433 | 0.428116 | 0.214058 | − | 0.976821i | \(-0.431332\pi\) | ||||
0.214058 | + | 0.976821i | \(0.431332\pi\) | |||||||
\(728\) | 5.78563 | − | 3.86583i | 0.214430 | − | 0.143277i | ||||
\(729\) | −40.1378 | + | 16.6256i | −1.48658 | + | 0.615764i | ||||
\(730\) | −12.9501 | − | 12.9269i | −0.479306 | − | 0.478445i | ||||
\(731\) | −5.83905 | + | 0.534208i | −0.215965 | + | 0.0197584i | ||||
\(732\) | −11.5486 | + | 11.5486i | −0.426849 | + | 0.426849i | ||||
\(733\) | 2.72799 | + | 1.12997i | 0.100760 | + | 0.0417363i | 0.432494 | − | 0.901637i | \(-0.357634\pi\) |
−0.331734 | + | 0.943373i | \(0.607634\pi\) | |||||||
\(734\) | −2.97569 | + | 14.9598i | −0.109835 | + | 0.552176i | ||||
\(735\) | −23.6008 | − | 23.5584i | −0.870528 | − | 0.868964i | ||||
\(736\) | −3.88994 | − | 5.82170i | −0.143385 | − | 0.214591i | ||||
\(737\) | 18.9431 | − | 28.3504i | 0.697778 | − | 1.04430i | ||||
\(738\) | 38.2186 | − | 7.60216i | 1.40685 | − | 0.279839i | ||||
\(739\) | −9.10333 | − | 3.77072i | −0.334871 | − | 0.138708i | 0.208911 | − | 0.977935i | \(-0.433008\pi\) |
−0.543782 | + | 0.839226i | \(0.683008\pi\) | |||||||
\(740\) | 14.3963 | + | 5.94797i | 0.529218 | + | 0.218652i | ||||
\(741\) | −10.1716 | − | 6.79645i | −0.373663 | − | 0.249674i | ||||
\(742\) | −1.07386 | − | 0.717533i | −0.0394228 | − | 0.0263415i | ||||
\(743\) | 2.49842 | + | 0.496966i | 0.0916580 | + | 0.0182319i | 0.240706 | − | 0.970598i | \(-0.422621\pi\) |
−0.149048 | + | 0.988830i | \(0.547621\pi\) | |||||||
\(744\) | 3.07262 | − | 3.07262i | 0.112648 | − | 0.112648i | ||||
\(745\) | 35.8096 | − | 23.9738i | 1.31196 | − | 0.878333i | ||||
\(746\) | 1.95672 | + | 4.72394i | 0.0716406 | + | 0.172956i | ||||
\(747\) | 8.96834 | + | 8.96834i | 0.328134 | + | 0.328134i | ||||
\(748\) | −15.1620 | − | 18.7387i | −0.554379 | − | 0.685154i | ||||
\(749\) | − | 21.8011i | − | 0.796596i | ||||||
\(750\) | 29.0927 | + | 11.9587i | 1.06231 | + | 0.436672i | ||||
\(751\) | −28.9085 | − | 5.75025i | −1.05489 | − | 0.209830i | −0.362964 | − | 0.931803i | \(-0.618235\pi\) |
−0.691921 | + | 0.721973i | \(0.743235\pi\) | |||||||
\(752\) | − | 0.109944i | − | 0.00400925i | ||||||
\(753\) | −11.9798 | + | 60.2263i | −0.436567 | + | 2.19477i | ||||
\(754\) | −2.19403 | − | 11.0302i | −0.0799020 | − | 0.401694i | ||||
\(755\) | −3.73784 | − | 18.7035i | −0.136034 | − | 0.680689i | ||||
\(756\) | −2.68786 | + | 6.48908i | −0.0977566 | + | 0.236005i | ||||
\(757\) | −9.60850 | + | 3.97997i | −0.349227 | + | 0.144655i | −0.550400 | − | 0.834901i | \(-0.685525\pi\) |
0.201173 | + | 0.979556i | \(0.435525\pi\) | |||||||
\(758\) | −4.82892 | − | 24.2766i | −0.175394 | − | 0.881766i | ||||
\(759\) | −112.949 | + | 22.4669i | −4.09977 | + | 0.815495i | ||||
\(760\) | 1.01332 | + | 1.51360i | 0.0367571 | + | 0.0549039i | ||||
\(761\) | −0.842952 | − | 0.842952i | −0.0305570 | − | 0.0305570i | 0.691663 | − | 0.722220i | \(-0.256878\pi\) |
−0.722220 | + | 0.691663i | \(0.756878\pi\) | |||||||
\(762\) | −5.56959 | − | 8.33548i | −0.201765 | − | 0.301962i | ||||
\(763\) | 1.21285 | − | 2.92807i | 0.0439080 | − | 0.106003i | ||||
\(764\) | 0.286950 | 0.0103815 | ||||||||
\(765\) | −28.5358 | − | 35.2025i | −1.03171 | − | 1.27275i | ||||
\(766\) | −16.7778 | −0.606206 | ||||||||
\(767\) | −11.2401 | + | 27.1359i | −0.405855 | + | 0.979820i | ||||
\(768\) | −1.56304 | − | 2.33925i | −0.0564012 | − | 0.0844104i | ||||
\(769\) | 5.06321 | + | 5.06321i | 0.182584 | + | 0.182584i | 0.792481 | − | 0.609897i | \(-0.208789\pi\) |
−0.609897 | + | 0.792481i | \(0.708789\pi\) | |||||||
\(770\) | −3.30946 | + | 16.7163i | −0.119264 | + | 0.602413i | ||||
\(771\) | 26.7791 | − | 5.32670i | 0.964427 | − | 0.191837i | ||||
\(772\) | −4.78290 | − | 24.0453i | −0.172140 | − | 0.865408i | ||||
\(773\) | 1.07061 | − | 0.443463i | 0.0385073 | − | 0.0159502i | −0.363347 | − | 0.931654i | \(-0.618366\pi\) |
0.401854 | + | 0.915704i | \(0.368366\pi\) | |||||||
\(774\) | −2.67489 | + | 6.45775i | −0.0961469 | + | 0.232119i | ||||
\(775\) | 4.27889 | − | 6.42881i | 0.153702 | − | 0.230930i | ||||
\(776\) | 2.93692 | + | 14.7649i | 0.105429 | + | 0.530029i | ||||
\(777\) | −4.98407 | + | 25.0566i | −0.178803 | + | 0.898902i | ||||
\(778\) | − | 11.2501i | − | 0.403335i | ||||||
\(779\) | 6.33398 | + | 1.25991i | 0.226938 | + | 0.0451409i | ||||
\(780\) | 31.0360 | + | 12.8228i | 1.11127 | + | 0.459131i | ||||
\(781\) | − | 32.1254i | − | 1.14954i | ||||||
\(782\) | 8.18824 | + | 27.6832i | 0.292811 | + | 0.989948i | ||||
\(783\) | 8.02705 | + | 8.02705i | 0.286863 | + | 0.286863i | ||||
\(784\) | 2.02850 | + | 4.89724i | 0.0724465 | + | 0.174901i | ||||
\(785\) | 0.382156 | − | 1.93030i | 0.0136397 | − | 0.0688952i | ||||
\(786\) | −23.4586 | + | 23.4586i | −0.836740 | + | 0.836740i | ||||
\(787\) | 36.4127 | + | 7.24294i | 1.29797 | + | 0.258183i | 0.795259 | − | 0.606270i | \(-0.207335\pi\) |
0.502714 | + | 0.864453i | \(0.332335\pi\) | |||||||
\(788\) | −2.09205 | − | 1.39786i | −0.0745261 | − | 0.0497968i | ||||
\(789\) | 37.4712 | + | 25.0374i | 1.33401 | + | 0.891356i | ||||
\(790\) | −4.36374 | + | 10.5619i | −0.155255 | + | 0.375774i | ||||
\(791\) | 13.6253 | + | 5.64377i | 0.484459 | + | 0.200669i | ||||
\(792\) | −28.1829 | + | 5.60592i | −1.00143 | + | 0.199198i | ||||
\(793\) | −17.2158 | + | 25.7653i | −0.611351 | + | 0.914951i | ||||
\(794\) | −20.7302 | − | 31.0249i | −0.735687 | − | 1.10103i | ||||
\(795\) | −0.00560418 | − | 6.23286i | −0.000198760 | − | 0.221057i | ||||
\(796\) | 2.52203 | − | 12.6791i | 0.0893911 | − | 0.449399i | ||||
\(797\) | 0.0379559 | + | 0.0157219i | 0.00134447 | + | 0.000556897i | 0.383356 | − | 0.923601i | \(-0.374768\pi\) |
−0.382011 | + | 0.924158i | \(0.624768\pi\) | |||||||
\(798\) | −2.11245 | + | 2.11245i | −0.0747797 | + | 0.0747797i | ||||
\(799\) | −0.134597 | + | 0.432868i | −0.00476169 | + | 0.0153138i | ||||
\(800\) | −3.54189 | − | 3.52917i | −0.125225 | − | 0.124775i | ||||
\(801\) | −5.00458 | + | 2.07296i | −0.176828 | + | 0.0732446i | ||||
\(802\) | 3.29578 | − | 2.20217i | 0.116378 | − | 0.0777614i | ||||
\(803\) | 47.8395 | 1.68822 | ||||||||
\(804\) | −13.6432 | + | 9.11608i | −0.481158 | + | 0.321500i | ||||
\(805\) | 11.3233 | − | 16.9796i | 0.399094 | − | 0.598451i | ||||
\(806\) | 4.58043 | − | 6.85509i | 0.161339 | − | 0.241460i | ||||
\(807\) | 17.7471 | + | 42.8453i | 0.624727 | + | 1.50823i | ||||
\(808\) | −2.58533 | − | 6.24155i | −0.0909518 | − | 0.219577i | ||||
\(809\) | −21.2673 | + | 31.8287i | −0.747717 | + | 1.11904i | 0.241186 | + | 0.970479i | \(0.422463\pi\) |
−0.988904 | + | 0.148559i | \(0.952537\pi\) | |||||||
\(810\) | −0.906405 | + | 0.181143i | −0.0318478 | + | 0.00636470i | ||||
\(811\) | −3.94173 | + | 2.63378i | −0.138413 | + | 0.0924845i | −0.622849 | − | 0.782342i | \(-0.714025\pi\) |
0.484436 | + | 0.874827i | \(0.339025\pi\) | |||||||
\(812\) | −2.74641 | −0.0963799 | ||||||||
\(813\) | 12.1009 | − | 8.08560i | 0.424399 | − | 0.283574i | ||||
\(814\) | −37.6250 | + | 15.5848i | −1.31876 | + | 0.546246i | ||||
\(815\) | −0.0136979 | − | 15.2346i | −0.000479818 | − | 0.533644i | ||||
\(816\) | 3.29016 | + | 11.1235i | 0.115179 | + | 0.389401i | ||||
\(817\) | −0.819129 | + | 0.819129i | −0.0286577 | + | 0.0286577i | ||||
\(818\) | 0.281565 | + | 0.116628i | 0.00984469 | + | 0.00407780i | ||||
\(819\) | −6.67234 | + | 33.5441i | −0.233150 | + | 1.17213i | ||||
\(820\) | −17.7275 | + | 0.0159394i | −0.619072 | + | 0.000556629i | ||||
\(821\) | 24.1132 | + | 36.0879i | 0.841555 | + | 1.25948i | 0.963706 | + | 0.266965i | \(0.0860208\pi\) |
−0.122151 | + | 0.992512i | \(0.538979\pi\) | |||||||
\(822\) | −21.2072 | + | 31.7388i | −0.739685 | + | 1.10702i | ||||
\(823\) | 31.8058 | − | 6.32657i | 1.10868 | − | 0.220531i | 0.393401 | − | 0.919367i | \(-0.371299\pi\) |
0.715281 | + | 0.698837i | \(0.246299\pi\) | |||||||
\(824\) | −6.21141 | − | 2.57285i | −0.216385 | − | 0.0896294i | ||||
\(825\) | −75.9214 | + | 31.6077i | −2.64324 | + | 1.10044i | ||||
\(826\) | 5.96393 | + | 3.98497i | 0.207512 | + | 0.138655i | ||||
\(827\) | 37.1352 | + | 24.8130i | 1.29132 | + | 0.862832i | 0.995715 | − | 0.0924789i | \(-0.0294791\pi\) |
0.295604 | + | 0.955311i | \(0.404479\pi\) | |||||||
\(828\) | 33.7533 | + | 6.71394i | 1.17301 | + | 0.233326i | ||||
\(829\) | −24.9924 | + | 24.9924i | −0.868024 | + | 0.868024i | −0.992253 | − | 0.124230i | \(-0.960354\pi\) |
0.124230 | + | 0.992253i | \(0.460354\pi\) | |||||||
\(830\) | −3.20994 | − | 4.79467i | −0.111419 | − | 0.166425i | ||||
\(831\) | 22.2561 | + | 53.7309i | 0.772055 | + | 1.86390i | ||||
\(832\) | −3.77449 | − | 3.77449i | −0.130857 | − | 0.130857i | ||||
\(833\) | −1.99122 | − | 21.7646i | −0.0689917 | − | 0.754098i | ||||
\(834\) | 29.0023i | 1.00427i | ||||||||
\(835\) | −11.5103 | − | 27.7177i | −0.398329 | − | 0.959211i | ||||
\(836\) | −4.67075 | − | 0.929070i | −0.161541 | − | 0.0321326i | ||||
\(837\) | 8.32205i | 0.287652i | ||||||||
\(838\) | 7.13218 | − | 35.8559i | 0.246377 | − | 1.23862i | ||||
\(839\) | 9.26094 | + | 46.5579i | 0.319723 | + | 1.60736i | 0.722037 | + | 0.691855i | \(0.243206\pi\) |
−0.402314 | + | 0.915502i | \(0.631794\pi\) | |||||||
\(840\) | 4.54988 | − | 6.82264i | 0.156986 | − | 0.235404i | ||||
\(841\) | 9.39915 | − | 22.6916i | 0.324109 | − | 0.782468i | ||||
\(842\) | −20.5452 | + | 8.51010i | −0.708034 | + | 0.293277i | ||||
\(843\) | −0.717749 | − | 3.60837i | −0.0247206 | − | 0.124279i | ||||
\(844\) | −13.9875 | + | 2.78229i | −0.481470 | + | 0.0957702i | ||||
\(845\) | 33.9851 | + | 6.72829i | 1.16912 | + | 0.231460i | ||||
\(846\) | 0.382116 | + | 0.382116i | 0.0131374 | + | 0.0131374i | ||||
\(847\) | −16.7859 | − | 25.1219i | −0.576770 | − | 0.863197i | ||||
\(848\) | −0.379151 | + | 0.915351i | −0.0130201 | + | 0.0314333i | ||||
\(849\) | −12.8283 | −0.440265 | ||||||||
\(850\) | 9.62448 | + | 18.2310i | 0.330117 | + | 0.625318i | ||||
\(851\) | 48.7744 | 1.67196 | ||||||||
\(852\) | −5.91624 | + | 14.2831i | −0.202687 | + | 0.489330i | ||||
\(853\) | −10.7826 | − | 16.1374i | −0.369191 | − | 0.552533i | 0.599636 | − | 0.800273i | \(-0.295312\pi\) |
−0.968827 | + | 0.247740i | \(0.920312\pi\) | |||||||
\(854\) | 5.35094 | + | 5.35094i | 0.183106 | + | 0.183106i | ||||
\(855\) | −8.78243 | − | 1.73873i | −0.300353 | − | 0.0594632i | ||||
\(856\) | −16.4030 | + | 3.26275i | −0.560642 | + | 0.111519i | ||||
\(857\) | −2.54865 | − | 12.8130i | −0.0870604 | − | 0.437682i | −0.999589 | − | 0.0286691i | \(-0.990873\pi\) |
0.912529 | − | 0.409013i | \(-0.134127\pi\) | |||||||
\(858\) | −81.1133 | + | 33.5982i | −2.76916 | + | 1.14702i | ||||
\(859\) | 8.74774 | − | 21.1189i | 0.298469 | − | 0.720568i | −0.701500 | − | 0.712670i | \(-0.747486\pi\) |
0.999969 | − | 0.00789846i | \(-0.00251418\pi\) | |||||||
\(860\) | 1.76428 | − | 2.64557i | 0.0601613 | − | 0.0902133i | ||||
\(861\) | −5.67230 | − | 28.5166i | −0.193312 | − | 0.971843i | ||||
\(862\) | 6.92546 | − | 34.8166i | 0.235882 | − | 1.18586i | ||||
\(863\) | 48.9670i | 1.66686i | 0.552627 | + | 0.833429i | \(0.313625\pi\) | ||||
−0.552627 | + | 0.833429i | \(0.686375\pi\) | |||||||
\(864\) | 5.28458 | + | 1.05117i | 0.179785 | + | 0.0357615i | ||||
\(865\) | 20.2737 | + | 48.8209i | 0.689327 | + | 1.65996i | ||||
\(866\) | 4.70842i | 0.159999i | ||||||||
\(867\) | 0.663809 | − | 47.8230i | 0.0225441 | − | 1.62416i | ||||
\(868\) | −1.42367 | − | 1.42367i | −0.0483225 | − | 0.0483225i | ||||
\(869\) | −11.4338 | − | 27.6036i | −0.387865 | − | 0.936390i | ||||
\(870\) | −7.37347 | − | 11.0137i | −0.249984 | − | 0.373400i | ||||
\(871\) | −22.0139 | + | 22.0139i | −0.745914 | + | 0.745914i | ||||
\(872\) | −2.38457 | − | 0.474319i | −0.0807516 | − | 0.0160625i | ||||
\(873\) | −61.5235 | − | 41.1087i | −2.08226 | − | 1.39132i | ||||
\(874\) | 4.74231 | + | 3.16871i | 0.160411 | + | 0.107183i | ||||
\(875\) | 5.54098 | − | 13.4798i | 0.187319 | − | 0.455701i | ||||
\(876\) | −21.2696 | − | 8.81016i | −0.718633 | − | 0.297668i | ||||
\(877\) | −9.49886 | + | 1.88944i | −0.320754 | + | 0.0638019i | −0.352841 | − | 0.935683i | \(-0.614784\pi\) |
0.0320876 | + | 0.999485i | \(0.489784\pi\) | |||||||
\(878\) | 9.44938 | − | 14.1420i | 0.318901 | − | 0.477269i | ||||
\(879\) | −48.8937 | − | 73.1747i | −1.64915 | − | 2.46812i | ||||
\(880\) | 13.0725 | − | 0.0117539i | 0.440673 | − | 0.000396224i | ||||
\(881\) | −3.65125 | + | 18.3561i | −0.123014 | + | 0.618431i | 0.869259 | + | 0.494356i | \(0.164596\pi\) |
−0.992273 | + | 0.124075i | \(0.960404\pi\) | |||||||
\(882\) | −24.0708 | − | 9.97043i | −0.810505 | − | 0.335722i | ||||
\(883\) | 19.9922 | − | 19.9922i | 0.672793 | − | 0.672793i | −0.285566 | − | 0.958359i | \(-0.592182\pi\) |
0.958359 | + | 0.285566i | \(0.0921817\pi\) | |||||||
\(884\) | 10.2400 | + | 19.4816i | 0.344407 | + | 0.655238i | ||||
\(885\) | 0.0311240 | + | 34.6155i | 0.00104622 | + | 1.16359i | ||||
\(886\) | −10.5583 | + | 4.37340i | −0.354713 | + | 0.146927i | ||||
\(887\) | −44.3262 | + | 29.6178i | −1.48833 | + | 0.994469i | −0.496340 | + | 0.868128i | \(0.665323\pi\) |
−0.991987 | + | 0.126341i | \(0.959677\pi\) | |||||||
\(888\) | 19.5983 | 0.657676 | ||||||||
\(889\) | −3.86217 | + | 2.58062i | −0.129533 | + | 0.0865511i | ||||
\(890\) | 2.41655 | − | 0.482940i | 0.0810028 | − | 0.0161882i | ||||
\(891\) | 1.34262 | − | 2.00937i | 0.0449795 | − | 0.0673165i | ||||
\(892\) | 5.22346 | + | 12.6106i | 0.174894 | + | 0.422233i | ||||
\(893\) | 0.0342730 | + | 0.0827422i | 0.00114690 | + | 0.00276886i | ||||
\(894\) | 30.1230 | − | 45.0823i | 1.00746 | − | 1.50778i | ||||
\(895\) | 30.7729 | − | 46.1447i | 1.02863 | − | 1.54245i | ||||
\(896\) | −1.08387 | + | 0.724218i | −0.0362095 | + | 0.0241944i | ||||
\(897\) | 105.150 | 3.51084 | ||||||||
\(898\) | −9.49028 | + | 6.34120i | −0.316695 | + | 0.211609i | ||||
\(899\) | −3.00637 | + | 1.24528i | −0.100268 | + | 0.0415324i | ||||
\(900\) | 24.5758 | − | 0.0441939i | 0.819193 | − | 0.00147313i | ||||
\(901\) | 2.61338 | − | 3.13972i | 0.0870642 | − | 0.104599i | ||||
\(902\) | 32.7734 | − | 32.7734i | 1.09123 | − | 1.09123i | ||||
\(903\) | 4.81841 | + | 1.99585i | 0.160347 | + | 0.0664178i | ||||
\(904\) | 2.20717 | − | 11.0962i | 0.0734093 | − | 0.369053i | ||||
\(905\) | 0.0114106 | + | 12.6907i | 0.000379303 | + | 0.421853i | ||||
\(906\) | −13.3325 | − | 19.9534i | −0.442941 | − | 0.662909i | ||||
\(907\) | −19.1618 | + | 28.6777i | −0.636257 | + | 0.952226i | 0.363530 | + | 0.931583i | \(0.381572\pi\) |
−0.999787 | + | 0.0206435i | \(0.993428\pi\) | |||||||
\(908\) | 7.73585 | − | 1.53876i | 0.256723 | − | 0.0510654i | ||||
\(909\) | 30.6783 | + | 12.7074i | 1.01753 | + | 0.421476i | ||||
\(910\) | 5.94135 | − | 14.3802i | 0.196954 | − | 0.476700i | ||||
\(911\) | −16.3825 | − | 10.9464i | −0.542777 | − | 0.362672i | 0.253755 | − | 0.967269i | \(-0.418334\pi\) |
−0.796532 | + | 0.604597i | \(0.793334\pi\) | |||||||
\(912\) | 1.90553 | + | 1.27324i | 0.0630985 | + | 0.0421610i | ||||
\(913\) | 14.7957 | + | 2.94305i | 0.489666 | + | 0.0974007i | ||||
\(914\) | 5.68253 | − | 5.68253i | 0.187961 | − | 0.187961i | ||||
\(915\) | −7.09247 | + | 35.8246i | −0.234470 | + | 1.18432i | ||||
\(916\) | −4.05598 | − | 9.79199i | −0.134013 | − | 0.323537i | ||||
\(917\) | 10.8693 | + | 10.8693i | 0.358936 | + | 0.358936i | ||||
\(918\) | −19.5194 | − | 10.6082i | −0.644237 | − | 0.350121i | ||||
\(919\) | 7.48557i | 0.246926i | 0.992349 | + | 0.123463i | \(0.0394001\pi\) | ||||
−0.992349 | + | 0.123463i | \(0.960600\pi\) | |||||||
\(920\) | −14.4699 | − | 5.97839i | −0.477059 | − | 0.197102i | ||||
\(921\) | −47.2857 | − | 9.40572i | −1.55812 | − | 0.309929i | ||||
\(922\) | 34.8833i | 1.14882i | ||||||||
\(923\) | −5.72249 | + | 28.7689i | −0.188358 | + | 0.946941i | ||||
\(924\) | 4.18282 | + | 21.0285i | 0.137605 | + | 0.691786i | ||||
\(925\) | 34.1488 | − | 6.85649i | 1.12281 | − | 0.225440i | ||||
\(926\) | 14.9580 | − | 36.1119i | 0.491552 | − | 1.18671i | ||||
\(927\) | 30.5301 | − | 12.6460i | 1.00274 | − | 0.415349i | ||||
\(928\) | 0.411026 | + | 2.06637i | 0.0134926 | + | 0.0678319i | ||||
\(929\) | 23.3245 | − | 4.63954i | 0.765253 | − | 0.152218i | 0.202995 | − | 0.979180i | \(-0.434933\pi\) |
0.562258 | + | 0.826962i | \(0.309933\pi\) | |||||||
\(930\) | 1.88702 | − | 9.53147i | 0.0618778 | − | 0.312549i | ||||
\(931\) | −3.05324 | − | 3.05324i | −0.100066 | − | 0.100066i | ||||
\(932\) | −1.32642 | − | 1.98513i | −0.0434484 | − | 0.0650252i | ||||
\(933\) | 5.90995 | − | 14.2679i | 0.193483 | − | 0.467110i | ||||
\(934\) | 16.8822 | 0.552402 | ||||||||
\(935\) | −51.4829 | − | 15.9574i | −1.68367 | − | 0.521863i | ||||
\(936\) | 26.2369 | 0.857579 | ||||||||
\(937\) | −11.3016 | + | 27.2845i | −0.369207 | + | 0.891345i | 0.624674 | + | 0.780886i | \(0.285232\pi\) |
−0.993881 | + | 0.110459i | \(0.964768\pi\) | |||||||
\(938\) | 4.22385 | + | 6.32144i | 0.137914 | + | 0.206402i | ||||
\(939\) | −12.7510 | − | 12.7510i | −0.416112 | − | 0.416112i | ||||
\(940\) | −0.136767 | − | 0.204288i | −0.00446083 | − | 0.00666313i | ||||
\(941\) | 1.26326 | − | 0.251277i | 0.0411810 | − | 0.00819140i | −0.174457 | − | 0.984665i | \(-0.555817\pi\) |
0.215638 | + | 0.976473i | \(0.430817\pi\) | |||||||
\(942\) | −0.483007 | − | 2.42824i | −0.0157372 | − | 0.0791163i | ||||
\(943\) | −51.2840 | + | 21.2425i | −1.67004 | + | 0.691752i | ||||
\(944\) | 2.10569 | − | 5.08359i | 0.0685345 | − | 0.165457i | ||||
\(945\) | 3.07785 | + | 15.4010i | 0.100122 | + | 0.500994i | ||||
\(946\) | 1.62195 | + | 8.15407i | 0.0527340 | + | 0.265112i | ||||
\(947\) | 7.32823 | − | 36.8415i | 0.238136 | − | 1.19719i | −0.657865 | − | 0.753136i | \(-0.728540\pi\) |
0.896001 | − | 0.444052i | \(-0.146460\pi\) | |||||||
\(948\) | 14.3783i | 0.466986i | ||||||||
\(949\) | −42.8412 | − | 8.52164i | −1.39068 | − | 0.276624i | ||||
\(950\) | 3.76572 | + | 1.55188i | 0.122176 | + | 0.0503498i | ||||
\(951\) | − | 54.2951i | − | 1.76064i | ||||||
\(952\) | 5.15398 | − | 1.52447i | 0.167041 | − | 0.0494082i | ||||
\(953\) | 25.9594 | + | 25.9594i | 0.840908 | + | 0.840908i | 0.988977 | − | 0.148069i | \(-0.0473056\pi\) |
−0.148069 | + | 0.988977i | \(0.547306\pi\) | |||||||
\(954\) | −1.86359 | − | 4.49910i | −0.0603360 | − | 0.145664i | ||||
\(955\) | 0.533184 | − | 0.356956i | 0.0172534 | − | 0.0115508i | ||||
\(956\) | −7.40929 | + | 7.40929i | −0.239634 | + | 0.239634i | ||||
\(957\) | 33.9869 | + | 6.76041i | 1.09864 | + | 0.218533i | ||||
\(958\) | −5.28183 | − | 3.52921i | −0.170648 | − | 0.114023i | ||||
\(959\) | 14.7059 | + | 9.82614i | 0.474877 | + | 0.317303i | ||||
\(960\) | −5.81423 | − | 2.40221i | −0.187653 | − | 0.0775310i | ||||
\(961\) | 26.4363 | + | 10.9503i | 0.852784 | + | 0.353235i | ||||
\(962\) | 36.4700 | − | 7.25433i | 1.17584 | − | 0.233889i | ||||
\(963\) | 45.6695 | − | 68.3492i | 1.47168 | − | 2.20252i | ||||
\(964\) | −3.60143 | − | 5.38993i | −0.115994 | − | 0.173598i | ||||
\(965\) | −38.7986 | − | 38.7289i | −1.24897 | − | 1.24673i | ||||
\(966\) | 5.00957 | − | 25.1848i | 0.161180 | − | 0.810307i | ||||
\(967\) | −21.7497 | − | 9.00902i | −0.699423 | − | 0.289711i | 0.00449664 | − | 0.999990i | \(-0.498569\pi\) |
−0.703920 | + | 0.710279i | \(0.748569\pi\) | |||||||
\(968\) | −16.3893 | + | 16.3893i | −0.526771 | + | 0.526771i | ||||
\(969\) | −5.94366 | − | 7.34574i | −0.190938 | − | 0.235979i | ||||
\(970\) | 23.8241 | + | 23.7813i | 0.764946 | + | 0.763571i | ||||
\(971\) | −16.1076 | + | 6.67199i | −0.516918 | + | 0.214114i | −0.625862 | − | 0.779933i | \(-0.715253\pi\) |
0.108945 | + | 0.994048i | \(0.465253\pi\) | |||||||
\(972\) | 12.4732 | − | 8.33431i | 0.400078 | − | 0.267323i | ||||
\(973\) | 13.4380 | 0.430801 | ||||||||
\(974\) | −22.4720 | + | 15.0153i | −0.720048 | + | 0.481121i | ||||
\(975\) | 73.6193 | − | 14.7815i | 2.35770 | − | 0.473385i | ||||
\(976\) | 3.22518 | − | 4.82682i | 0.103235 | − | 0.154503i | ||||
\(977\) | 4.93111 | + | 11.9048i | 0.157760 | + | 0.380867i | 0.982920 | − | 0.184032i | \(-0.0589151\pi\) |
−0.825160 | + | 0.564899i | \(0.808915\pi\) | |||||||
\(978\) | −7.33526 | − | 17.7089i | −0.234556 | − | 0.566268i | ||||
\(979\) | −3.57953 | + | 5.35714i | −0.114402 | + | 0.171215i | ||||
\(980\) | 9.86116 | + | 6.57620i | 0.315003 | + | 0.210069i | ||||
\(981\) | 9.93619 | − | 6.63915i | 0.317238 | − | 0.211972i | ||||
\(982\) | 0.205934 | 0.00657160 | ||||||||
\(983\) | −27.2056 | + | 18.1782i | −0.867724 | + | 0.579795i | −0.907801 | − | 0.419402i | \(-0.862240\pi\) |
0.0400767 | + | 0.999197i | \(0.487240\pi\) | |||||||
\(984\) | −20.6067 | + | 8.53557i | −0.656918 | + | 0.272104i | ||||
\(985\) | −5.62613 | + | 0.00505865i | −0.179264 | + | 0.000161182i | ||||
\(986\) | 0.911426 | − | 8.63883i | 0.0290257 | − | 0.275116i | ||||
\(987\) | 0.285114 | − | 0.285114i | 0.00907526 | − | 0.00907526i | ||||
\(988\) | 4.01725 | + | 1.66400i | 0.127806 | + | 0.0529388i | ||||
\(989\) | 1.94253 | − | 9.76574i | 0.0617688 | − | 0.310533i | ||||
\(990\) | −45.3932 | + | 45.4749i | −1.44269 | + | 1.44529i | ||||
\(991\) | 2.85767 | + | 4.27680i | 0.0907767 | + | 0.135857i | 0.874079 | − | 0.485785i | \(-0.161466\pi\) |
−0.783302 | + | 0.621642i | \(0.786466\pi\) | |||||||
\(992\) | −0.858089 | + | 1.28422i | −0.0272444 | + | 0.0407741i | ||||
\(993\) | −39.9068 | + | 7.93796i | −1.26640 | + | 0.251903i | ||||
\(994\) | 6.61793 | + | 2.74124i | 0.209908 | + | 0.0869467i | ||||
\(995\) | −11.0862 | − | 26.6964i | −0.351455 | − | 0.846334i | ||||
\(996\) | −6.03622 | − | 4.03327i | −0.191265 | − | 0.127799i | ||||
\(997\) | −43.3514 | − | 28.9665i | −1.37295 | − | 0.917378i | −0.373007 | − | 0.927828i | \(-0.621673\pi\) |
−0.999945 | + | 0.0104506i | \(0.996673\pi\) | |||||||
\(998\) | 21.8373 | + | 4.34370i | 0.691247 | + | 0.137498i | ||||
\(999\) | −26.5406 | + | 26.5406i | −0.839706 | + | 0.839706i |
(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 | 170.2.o.a.3.4 | ✓ | 32 | |
5.2 | odd | 4 | 170.2.r.a.37.4 | yes | 32 | ||
5.3 | odd | 4 | 850.2.v.c.207.1 | 32 | |||
5.4 | even | 2 | 850.2.s.c.343.1 | 32 | |||
17.6 | odd | 16 | 170.2.r.a.23.4 | yes | 32 | ||
85.23 | even | 16 | 850.2.s.c.57.1 | 32 | |||
85.57 | even | 16 | inner | 170.2.o.a.57.4 | yes | 32 | |
85.74 | odd | 16 | 850.2.v.c.193.1 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.a.3.4 | ✓ | 32 | 1.1 | even | 1 | trivial | |
170.2.o.a.57.4 | yes | 32 | 85.57 | even | 16 | inner | |
170.2.r.a.23.4 | yes | 32 | 17.6 | odd | 16 | ||
170.2.r.a.37.4 | yes | 32 | 5.2 | odd | 4 | ||
850.2.s.c.57.1 | 32 | 85.23 | even | 16 | |||
850.2.s.c.343.1 | 32 | 5.4 | even | 2 | |||
850.2.v.c.193.1 | 32 | 85.74 | odd | 16 | |||
850.2.v.c.207.1 | 32 | 5.3 | odd | 4 |