Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 59.1 | ||
Character | \(\chi\) | \(=\) | 144.59 |
Dual form | 144.2.u.a.83.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41419 | − | 0.00754520i | −0.999986 | − | 0.00533526i | ||||
\(3\) | −0.313101 | + | 1.70352i | −0.180769 | + | 0.983526i | ||||
\(4\) | 1.99989 | + | 0.0213407i | 0.999943 | + | 0.0106704i | ||||
\(5\) | 0.752772 | + | 2.80938i | 0.336650 | + | 1.25639i | 0.902069 | + | 0.431591i | \(0.142048\pi\) |
−0.565419 | + | 0.824804i | \(0.691286\pi\) | |||||||
\(6\) | 0.455638 | − | 2.40674i | 0.186013 | − | 0.982547i | ||||
\(7\) | −1.02581 | − | 1.77675i | −0.387718 | − | 0.671548i | 0.604424 | − | 0.796663i | \(-0.293403\pi\) |
−0.992142 | + | 0.125115i | \(0.960070\pi\) | |||||||
\(8\) | −2.82806 | − | 0.0452695i | −0.999872 | − | 0.0160052i | ||||
\(9\) | −2.80394 | − | 1.06674i | −0.934645 | − | 0.355581i | ||||
\(10\) | −1.04337 | − | 3.97869i | −0.329942 | − | 1.25817i | ||||
\(11\) | −0.447752 | + | 1.67103i | −0.135002 | + | 0.503835i | 0.864996 | + | 0.501779i | \(0.167321\pi\) |
−0.999998 | + | 0.00205598i | \(0.999346\pi\) | |||||||
\(12\) | −0.662520 | + | 3.40016i | −0.191253 | + | 0.981541i | ||||
\(13\) | 1.30248 | + | 4.86091i | 0.361242 | + | 1.34817i | 0.872445 | + | 0.488713i | \(0.162534\pi\) |
−0.511203 | + | 0.859460i | \(0.670800\pi\) | |||||||
\(14\) | 1.43728 | + | 2.52041i | 0.384130 | + | 0.673607i | ||||
\(15\) | −5.02153 | + | 0.402740i | −1.29655 | + | 0.103987i | ||||
\(16\) | 3.99909 | + | 0.0853581i | 0.999772 | + | 0.0213395i | ||||
\(17\) | 2.90960i | 0.705681i | 0.935683 | + | 0.352841i | \(0.114784\pi\) | ||||
−0.935683 | + | 0.352841i | \(0.885216\pi\) | |||||||
\(18\) | 3.95726 | + | 1.52974i | 0.932735 | + | 0.360563i | ||||
\(19\) | −3.23424 | − | 3.23424i | −0.741986 | − | 0.741986i | 0.230974 | − | 0.972960i | \(-0.425809\pi\) |
−0.972960 | + | 0.230974i | \(0.925809\pi\) | |||||||
\(20\) | 1.44550 | + | 5.63451i | 0.323225 | + | 1.25992i | ||||
\(21\) | 3.34790 | − | 1.19118i | 0.730572 | − | 0.259936i | ||||
\(22\) | 0.645816 | − | 2.35979i | 0.137688 | − | 0.503108i | ||||
\(23\) | −0.831633 | − | 0.480143i | −0.173407 | − | 0.100117i | 0.410784 | − | 0.911733i | \(-0.365255\pi\) |
−0.584192 | + | 0.811616i | \(0.698588\pi\) | |||||||
\(24\) | 0.962586 | − | 4.80348i | 0.196487 | − | 0.980506i | ||||
\(25\) | −2.99585 | + | 1.72965i | −0.599169 | + | 0.345931i | ||||
\(26\) | −1.80528 | − | 6.88409i | −0.354044 | − | 1.35008i | ||||
\(27\) | 2.69513 | − | 4.44255i | 0.518678 | − | 0.854970i | ||||
\(28\) | −2.01358 | − | 3.57519i | −0.380531 | − | 0.675647i | ||||
\(29\) | 1.48926 | − | 5.55800i | 0.276549 | − | 1.03209i | −0.678248 | − | 0.734834i | \(-0.737260\pi\) |
0.954796 | − | 0.297261i | \(-0.0960731\pi\) | |||||||
\(30\) | 7.10445 | − | 0.531664i | 1.29709 | − | 0.0970681i | ||||
\(31\) | 8.00513 | + | 4.62177i | 1.43776 | + | 0.830094i | 0.997694 | − | 0.0678697i | \(-0.0216202\pi\) |
0.440070 | + | 0.897963i | \(0.354954\pi\) | |||||||
\(32\) | −5.65484 | − | 0.150887i | −0.999644 | − | 0.0266733i | ||||
\(33\) | −2.70644 | − | 1.28595i | −0.471131 | − | 0.223856i | ||||
\(34\) | 0.0219535 | − | 4.11474i | 0.00376499 | − | 0.705671i | ||||
\(35\) | 4.21937 | − | 4.21937i | 0.713204 | − | 0.713204i | ||||
\(36\) | −5.58479 | − | 2.19320i | −0.930798 | − | 0.365534i | ||||
\(37\) | 8.18664 | + | 8.18664i | 1.34588 | + | 1.34588i | 0.890089 | + | 0.455787i | \(0.150642\pi\) |
0.455787 | + | 0.890089i | \(0.349358\pi\) | |||||||
\(38\) | 4.54944 | + | 4.59825i | 0.738017 | + | 0.745935i | ||||
\(39\) | −8.68844 | + | 0.696837i | −1.39126 | + | 0.111583i | ||||
\(40\) | −2.00171 | − | 7.97920i | −0.316498 | − | 1.26162i | ||||
\(41\) | 4.06472 | − | 7.04030i | 0.634803 | − | 1.09951i | −0.351754 | − | 0.936092i | \(-0.614415\pi\) |
0.986557 | − | 0.163418i | \(-0.0522519\pi\) | |||||||
\(42\) | −4.74357 | + | 1.65929i | −0.731948 | + | 0.256035i | ||||
\(43\) | −3.38808 | − | 0.907834i | −0.516678 | − | 0.138443i | −0.00894834 | − | 0.999960i | \(-0.502848\pi\) |
−0.507729 | + | 0.861517i | \(0.669515\pi\) | |||||||
\(44\) | −0.931114 | + | 3.33232i | −0.140371 | + | 0.502366i | ||||
\(45\) | 0.886168 | − | 8.68035i | 0.132102 | − | 1.29399i | ||||
\(46\) | 1.17247 | + | 0.685290i | 0.172871 | + | 0.101041i | ||||
\(47\) | 1.60711 | + | 2.78360i | 0.234421 | + | 0.406030i | 0.959104 | − | 0.283053i | \(-0.0913472\pi\) |
−0.724683 | + | 0.689082i | \(0.758014\pi\) | |||||||
\(48\) | −1.39753 | + | 6.78579i | −0.201715 | + | 0.979444i | ||||
\(49\) | 1.39544 | − | 2.41698i | 0.199349 | − | 0.345283i | ||||
\(50\) | 4.24976 | − | 2.42346i | 0.601006 | − | 0.342729i | ||||
\(51\) | −4.95655 | − | 0.910997i | −0.694056 | − | 0.127565i | ||||
\(52\) | 2.50107 | + | 9.74906i | 0.346836 | + | 1.35195i | ||||
\(53\) | 1.65731 | − | 1.65731i | 0.227649 | − | 0.227649i | −0.584061 | − | 0.811710i | \(-0.698537\pi\) |
0.811710 | + | 0.584061i | \(0.198537\pi\) | |||||||
\(54\) | −3.84495 | + | 6.26229i | −0.523232 | + | 0.852190i | ||||
\(55\) | −5.03163 | −0.678465 | ||||||||
\(56\) | 2.82061 | + | 5.07120i | 0.376920 | + | 0.677667i | ||||
\(57\) | 6.52223 | − | 4.49694i | 0.863891 | − | 0.595635i | ||||
\(58\) | −2.14804 | + | 7.84885i | −0.282051 | + | 1.03060i | ||||
\(59\) | 8.27439 | − | 2.21712i | 1.07723 | − | 0.288644i | 0.323772 | − | 0.946135i | \(-0.395049\pi\) |
0.753462 | + | 0.657491i | \(0.228382\pi\) | |||||||
\(60\) | −10.0511 | + | 0.698271i | −1.29759 | + | 0.0901465i | ||||
\(61\) | 1.06246 | + | 0.284684i | 0.136034 | + | 0.0364501i | 0.326193 | − | 0.945303i | \(-0.394234\pi\) |
−0.190160 | + | 0.981753i | \(0.560901\pi\) | |||||||
\(62\) | −11.2859 | − | 6.59647i | −1.43332 | − | 0.837753i | ||||
\(63\) | 0.980960 | + | 6.07616i | 0.123589 | + | 0.765524i | ||||
\(64\) | 7.99590 | + | 0.256050i | 0.999488 | + | 0.0320063i | ||||
\(65\) | −12.6757 | + | 7.31831i | −1.57223 | + | 0.907725i | ||||
\(66\) | 3.81773 | + | 1.83901i | 0.469930 | + | 0.226366i | ||||
\(67\) | −9.36667 | + | 2.50979i | −1.14432 | + | 0.306620i | −0.780687 | − | 0.624922i | \(-0.785131\pi\) |
−0.363634 | + | 0.931542i | \(0.618464\pi\) | |||||||
\(68\) | −0.0620930 | + | 5.81887i | −0.00752988 | + | 0.705641i | ||||
\(69\) | 1.07832 | − | 1.26637i | 0.129814 | − | 0.152453i | ||||
\(70\) | −5.99884 | + | 5.93517i | −0.716999 | + | 0.709388i | ||||
\(71\) | 2.40828i | 0.285810i | 0.989736 | + | 0.142905i | \(0.0456444\pi\) | ||||
−0.989736 | + | 0.142905i | \(0.954356\pi\) | |||||||
\(72\) | 7.88142 | + | 3.14375i | 0.928835 | + | 0.370495i | ||||
\(73\) | 0.312935i | 0.0366262i | 0.999832 | + | 0.0183131i | \(0.00582957\pi\) | ||||
−0.999832 | + | 0.0183131i | \(0.994170\pi\) | |||||||
\(74\) | −11.5157 | − | 11.6393i | −1.33868 | − | 1.35304i | ||||
\(75\) | −2.00849 | − | 5.64503i | −0.231921 | − | 0.651832i | ||||
\(76\) | −6.39910 | − | 6.53714i | −0.734027 | − | 0.749861i | ||||
\(77\) | 3.42831 | − | 0.918613i | 0.390692 | − | 0.104686i | ||||
\(78\) | 12.2924 | − | 0.919906i | 1.39184 | − | 0.104159i | ||||
\(79\) | 1.15979 | − | 0.669606i | 0.130487 | − | 0.0753366i | −0.433336 | − | 0.901233i | \(-0.642664\pi\) |
0.563823 | + | 0.825896i | \(0.309330\pi\) | |||||||
\(80\) | 2.77060 | + | 11.2992i | 0.309762 | + | 1.26329i | ||||
\(81\) | 6.72412 | + | 5.98216i | 0.747124 | + | 0.664685i | ||||
\(82\) | −5.80142 | + | 9.92568i | −0.640660 | + | 1.09611i | ||||
\(83\) | 14.5891 | + | 3.90915i | 1.60137 | + | 0.429085i | 0.945455 | − | 0.325754i | \(-0.105618\pi\) |
0.655911 | + | 0.754839i | \(0.272285\pi\) | |||||||
\(84\) | 6.72084 | − | 2.31077i | 0.733304 | − | 0.252126i | ||||
\(85\) | −8.17418 | + | 2.19027i | −0.886614 | + | 0.237568i | ||||
\(86\) | 4.78455 | + | 1.30942i | 0.515932 | + | 0.141198i | ||||
\(87\) | 9.00185 | + | 4.27719i | 0.965100 | + | 0.458563i | ||||
\(88\) | 1.34192 | − | 4.70552i | 0.143049 | − | 0.501610i | ||||
\(89\) | −7.86629 | −0.833826 | −0.416913 | − | 0.908947i | \(-0.636888\pi\) | ||||
−0.416913 | + | 0.908947i | \(0.636888\pi\) | |||||||
\(90\) | −1.31871 | + | 12.2690i | −0.139004 | + | 1.29327i | ||||
\(91\) | 7.30052 | − | 7.30052i | 0.765303 | − | 0.765303i | ||||
\(92\) | −1.65292 | − | 0.977980i | −0.172329 | − | 0.101961i | ||||
\(93\) | −10.3797 | + | 12.1898i | −1.07632 | + | 1.26402i | ||||
\(94\) | −2.25176 | − | 3.94867i | −0.232252 | − | 0.407274i | ||||
\(95\) | 6.65158 | − | 11.5209i | 0.682438 | − | 1.18202i | ||||
\(96\) | 2.02757 | − | 9.58587i | 0.206938 | − | 0.978354i | ||||
\(97\) | −6.48861 | − | 11.2386i | −0.658819 | − | 1.14111i | −0.980922 | − | 0.194403i | \(-0.937723\pi\) |
0.322103 | − | 0.946705i | \(-0.395610\pi\) | |||||||
\(98\) | −1.99166 | + | 3.40755i | −0.201188 | + | 0.344214i | ||||
\(99\) | 3.03803 | − | 4.20783i | 0.305334 | − | 0.422903i | ||||
\(100\) | −6.02826 | + | 3.39518i | −0.602826 | + | 0.339518i | ||||
\(101\) | −6.84133 | − | 1.83313i | −0.680738 | − | 0.182403i | −0.0981510 | − | 0.995172i | \(-0.531293\pi\) |
−0.582587 | + | 0.812768i | \(0.697959\pi\) | |||||||
\(102\) | 7.00265 | + | 1.32572i | 0.693365 | + | 0.131266i | ||||
\(103\) | −2.35803 | + | 4.08423i | −0.232344 | + | 0.402431i | −0.958497 | − | 0.285101i | \(-0.907973\pi\) |
0.726154 | + | 0.687533i | \(0.241306\pi\) | |||||||
\(104\) | −3.46344 | − | 13.8059i | −0.339618 | − | 1.35378i | ||||
\(105\) | 5.86668 | + | 8.50885i | 0.572529 | + | 0.830379i | ||||
\(106\) | −2.35626 | + | 2.33125i | −0.228860 | + | 0.226431i | ||||
\(107\) | −8.28006 | − | 8.28006i | −0.800464 | − | 0.800464i | 0.182704 | − | 0.983168i | \(-0.441515\pi\) |
−0.983168 | + | 0.182704i | \(0.941515\pi\) | |||||||
\(108\) | 5.48476 | − | 8.82708i | 0.527771 | − | 0.849387i | ||||
\(109\) | −4.14079 | + | 4.14079i | −0.396616 | + | 0.396616i | −0.877038 | − | 0.480422i | \(-0.840484\pi\) |
0.480422 | + | 0.877038i | \(0.340484\pi\) | |||||||
\(110\) | 7.11570 | + | 0.0379647i | 0.678455 | + | 0.00361979i | ||||
\(111\) | −16.5093 | + | 11.3828i | −1.56700 | + | 1.08041i | ||||
\(112\) | −3.95063 | − | 7.19294i | −0.373299 | − | 0.679669i | ||||
\(113\) | −13.3502 | − | 7.70777i | −1.25589 | − | 0.725086i | −0.283613 | − | 0.958939i | \(-0.591533\pi\) |
−0.972272 | + | 0.233853i | \(0.924866\pi\) | |||||||
\(114\) | −9.25763 | + | 6.31034i | −0.867056 | + | 0.591017i | ||||
\(115\) | 0.722877 | − | 2.69781i | 0.0674086 | − | 0.251573i | ||||
\(116\) | 3.09696 | − | 11.0836i | 0.287546 | − | 1.02908i | ||||
\(117\) | 1.53328 | − | 15.0191i | 0.141752 | − | 1.38851i | ||||
\(118\) | −11.7183 | + | 3.07300i | −1.07876 | + | 0.282893i | ||||
\(119\) | 5.16962 | − | 2.98468i | 0.473899 | − | 0.273606i | ||||
\(120\) | 14.2194 | − | 0.911654i | 1.29805 | − | 0.0832222i | ||||
\(121\) | 6.93441 | + | 4.00358i | 0.630401 | + | 0.363962i | ||||
\(122\) | −1.50037 | − | 0.410615i | −0.135837 | − | 0.0371753i | ||||
\(123\) | 10.7206 | + | 9.12864i | 0.966644 | + | 0.823102i | ||||
\(124\) | 15.9107 | + | 9.41384i | 1.42883 | + | 0.845388i | ||||
\(125\) | 3.16861 | + | 3.16861i | 0.283409 | + | 0.283409i | ||||
\(126\) | −1.34142 | − | 8.60027i | −0.119503 | − | 0.766173i | ||||
\(127\) | − | 9.75481i | − | 0.865599i | −0.901490 | − | 0.432800i | \(-0.857526\pi\) | ||
0.901490 | − | 0.432800i | \(-0.142474\pi\) | |||||||
\(128\) | −11.3058 | − | 0.422435i | −0.999303 | − | 0.0373383i | ||||
\(129\) | 2.60732 | − | 5.48741i | 0.229562 | − | 0.483140i | ||||
\(130\) | 17.9811 | − | 10.2539i | 1.57705 | − | 0.899324i | ||||
\(131\) | 2.98138 | + | 11.1267i | 0.260485 | + | 0.972142i | 0.964956 | + | 0.262410i | \(0.0845174\pi\) |
−0.704472 | + | 0.709732i | \(0.748816\pi\) | |||||||
\(132\) | −5.38513 | − | 2.62952i | −0.468715 | − | 0.228870i | ||||
\(133\) | −2.42873 | + | 9.06414i | −0.210598 | + | 0.785961i | ||||
\(134\) | 13.2652 | − | 3.47866i | 1.14594 | − | 0.300510i | ||||
\(135\) | 14.5097 | + | 4.22742i | 1.24879 | + | 0.363839i | ||||
\(136\) | 0.131716 | − | 8.22853i | 0.0112946 | − | 0.705591i | ||||
\(137\) | −4.19840 | − | 7.27184i | −0.358694 | − | 0.621276i | 0.629049 | − | 0.777365i | \(-0.283444\pi\) |
−0.987743 | + | 0.156090i | \(0.950111\pi\) | |||||||
\(138\) | −1.53450 | + | 1.78275i | −0.130626 | + | 0.151758i | ||||
\(139\) | −2.62078 | − | 9.78090i | −0.222292 | − | 0.829605i | −0.983471 | − | 0.181064i | \(-0.942046\pi\) |
0.761179 | − | 0.648541i | \(-0.224621\pi\) | |||||||
\(140\) | 8.52830 | − | 8.34822i | 0.720773 | − | 0.705553i | ||||
\(141\) | −5.24509 | + | 1.86619i | −0.441716 | + | 0.157162i | ||||
\(142\) | 0.0181709 | − | 3.40577i | 0.00152487 | − | 0.285806i | ||||
\(143\) | −8.70593 | −0.728026 | ||||||||
\(144\) | −11.1221 | − | 4.50534i | −0.926845 | − | 0.375445i | ||||
\(145\) | 16.7356 | 1.38982 | ||||||||
\(146\) | 0.00236115 | − | 0.442550i | 0.000195411 | − | 0.0366257i | ||||
\(147\) | 3.68045 | + | 3.13392i | 0.303558 | + | 0.258481i | ||||
\(148\) | 16.1976 | + | 16.5471i | 1.33144 | + | 1.36016i | ||||
\(149\) | 3.55815 | + | 13.2792i | 0.291495 | + | 1.08787i | 0.943961 | + | 0.330056i | \(0.107068\pi\) |
−0.652466 | + | 0.757818i | \(0.726266\pi\) | |||||||
\(150\) | 2.79780 | + | 7.99832i | 0.228440 | + | 0.653060i | ||||
\(151\) | −1.77992 | − | 3.08290i | −0.144848 | − | 0.250883i | 0.784469 | − | 0.620169i | \(-0.212936\pi\) |
−0.929316 | + | 0.369285i | \(0.879602\pi\) | |||||||
\(152\) | 9.00024 | + | 9.29306i | 0.730016 | + | 0.753767i | ||||
\(153\) | 3.10380 | − | 8.15833i | 0.250927 | − | 0.659562i | ||||
\(154\) | −4.85523 | + | 1.27323i | −0.391245 | + | 0.102600i | ||||
\(155\) | −6.95827 | + | 25.9686i | −0.558902 | + | 2.08585i | ||||
\(156\) | −17.3908 | + | 1.20818i | −1.39238 | + | 0.0967316i | ||||
\(157\) | −1.50874 | − | 5.63069i | −0.120411 | − | 0.449378i | 0.879224 | − | 0.476408i | \(-0.158062\pi\) |
−0.999635 | + | 0.0270302i | \(0.991395\pi\) | |||||||
\(158\) | −1.64522 | + | 0.938202i | −0.130887 | + | 0.0746394i | ||||
\(159\) | 2.30435 | + | 3.34215i | 0.182747 | + | 0.265050i | ||||
\(160\) | −3.83291 | − | 16.0002i | −0.303018 | − | 1.26493i | ||||
\(161\) | 1.97014i | 0.155268i | ||||||||
\(162\) | −9.46406 | − | 8.51067i | −0.743567 | − | 0.668661i | ||||
\(163\) | 11.8727 | + | 11.8727i | 0.929944 | + | 0.929944i | 0.997702 | − | 0.0677576i | \(-0.0215845\pi\) |
−0.0677576 | + | 0.997702i | \(0.521584\pi\) | |||||||
\(164\) | 8.27922 | − | 13.9931i | 0.646499 | − | 1.09267i | ||||
\(165\) | 1.57541 | − | 8.57146i | 0.122645 | − | 0.667288i | ||||
\(166\) | −20.6024 | − | 5.63837i | −1.59905 | − | 0.437622i | ||||
\(167\) | −4.69768 | − | 2.71220i | −0.363517 | − | 0.209877i | 0.307105 | − | 0.951676i | \(-0.400640\pi\) |
−0.670622 | + | 0.741799i | \(0.733973\pi\) | |||||||
\(168\) | −9.52200 | + | 3.21717i | −0.734638 | + | 0.248210i | ||||
\(169\) | −10.6737 | + | 6.16244i | −0.821050 | + | 0.474034i | ||||
\(170\) | 11.5764 | − | 3.03578i | 0.887869 | − | 0.232834i | ||||
\(171\) | 5.61850 | + | 12.5187i | 0.429658 | + | 0.957331i | ||||
\(172\) | −6.75641 | − | 1.88787i | −0.515171 | − | 0.143949i | ||||
\(173\) | 4.12941 | − | 15.4112i | 0.313953 | − | 1.17169i | −0.611007 | − | 0.791625i | \(-0.709235\pi\) |
0.924960 | − | 0.380064i | \(-0.124098\pi\) | |||||||
\(174\) | −12.6981 | − | 6.11670i | −0.962640 | − | 0.463706i | ||||
\(175\) | 6.14632 | + | 3.54858i | 0.464618 | + | 0.268247i | ||||
\(176\) | −1.93324 | + | 6.64439i | −0.145723 | + | 0.500840i | ||||
\(177\) | 1.18618 | + | 14.7897i | 0.0891586 | + | 1.11167i | ||||
\(178\) | 11.1245 | + | 0.0593528i | 0.833814 | + | 0.00444868i | ||||
\(179\) | −9.89241 | + | 9.89241i | −0.739394 | + | 0.739394i | −0.972461 | − | 0.233067i | \(-0.925124\pi\) |
0.233067 | + | 0.972461i | \(0.425124\pi\) | |||||||
\(180\) | 1.95748 | − | 17.3408i | 0.145902 | − | 1.29251i | ||||
\(181\) | −12.4781 | − | 12.4781i | −0.927486 | − | 0.927486i | 0.0700567 | − | 0.997543i | \(-0.477682\pi\) |
−0.997543 | + | 0.0700567i | \(0.977682\pi\) | |||||||
\(182\) | −10.3794 | + | 10.2693i | −0.769375 | + | 0.761209i | ||||
\(183\) | −0.817620 | + | 1.72078i | −0.0604402 | + | 0.127203i | ||||
\(184\) | 2.33018 | + | 1.39552i | 0.171783 | + | 0.102879i | ||||
\(185\) | −16.8368 | + | 29.1621i | −1.23786 | + | 2.14404i | ||||
\(186\) | 14.7708 | − | 17.1604i | 1.08305 | − | 1.25826i | ||||
\(187\) | −4.86204 | − | 1.30278i | −0.355547 | − | 0.0952686i | ||||
\(188\) | 3.15464 | + | 5.60118i | 0.230075 | + | 0.408508i | ||||
\(189\) | −10.6580 | − | 0.231368i | −0.775254 | − | 0.0168295i | ||||
\(190\) | −9.49355 | + | 16.2426i | −0.688735 | + | 1.17836i | ||||
\(191\) | −2.68392 | − | 4.64869i | −0.194202 | − | 0.336367i | 0.752437 | − | 0.658664i | \(-0.228878\pi\) |
−0.946639 | + | 0.322297i | \(0.895545\pi\) | |||||||
\(192\) | −2.93971 | + | 13.5410i | −0.212155 | + | 0.977236i | ||||
\(193\) | −2.67918 | + | 4.64047i | −0.192852 | + | 0.334029i | −0.946194 | − | 0.323600i | \(-0.895107\pi\) |
0.753343 | + | 0.657628i | \(0.228440\pi\) | |||||||
\(194\) | 9.09135 | + | 15.9425i | 0.652721 | + | 1.14461i | ||||
\(195\) | −8.49810 | − | 23.8846i | −0.608562 | − | 1.71041i | ||||
\(196\) | 2.84231 | − | 4.80390i | 0.203022 | − | 0.343136i | ||||
\(197\) | 8.66946 | − | 8.66946i | 0.617673 | − | 0.617673i | −0.327261 | − | 0.944934i | \(-0.606126\pi\) |
0.944934 | + | 0.327261i | \(0.106126\pi\) | |||||||
\(198\) | −4.32811 | + | 5.92777i | −0.307586 | + | 0.421268i | ||||
\(199\) | 10.3440 | 0.733266 | 0.366633 | − | 0.930366i | \(-0.380510\pi\) | ||||
0.366633 | + | 0.930366i | \(0.380510\pi\) | |||||||
\(200\) | 8.55075 | − | 4.75595i | 0.604629 | − | 0.336296i | ||||
\(201\) | −1.34276 | − | 16.7421i | −0.0947111 | − | 1.18090i | ||||
\(202\) | 9.66114 | + | 2.64402i | 0.679755 | + | 0.186033i | ||||
\(203\) | −11.4029 | + | 3.05539i | −0.800324 | + | 0.214446i | ||||
\(204\) | −9.89309 | − | 1.92767i | −0.692655 | − | 0.134964i | ||||
\(205\) | 22.8387 | + | 6.11962i | 1.59513 | + | 0.427413i | ||||
\(206\) | 3.36553 | − | 5.75810i | 0.234488 | − | 0.401186i | ||||
\(207\) | 1.81966 | + | 2.23343i | 0.126475 | + | 0.155234i | ||||
\(208\) | 4.79380 | + | 19.5504i | 0.332390 | + | 1.35558i | ||||
\(209\) | 6.85267 | − | 3.95639i | 0.474009 | − | 0.273669i | ||||
\(210\) | −8.23242 | − | 12.0774i | −0.568091 | − | 0.833422i | ||||
\(211\) | −22.9712 | + | 6.15510i | −1.58140 | + | 0.423735i | −0.939359 | − | 0.342936i | \(-0.888579\pi\) |
−0.642041 | + | 0.766671i | \(0.721912\pi\) | |||||||
\(212\) | 3.34979 | − | 3.27906i | 0.230065 | − | 0.225207i | ||||
\(213\) | −4.10254 | − | 0.754033i | −0.281102 | − | 0.0516655i | ||||
\(214\) | 11.6471 | + | 11.7721i | 0.796182 | + | 0.804723i | ||||
\(215\) | − | 10.2018i | − | 0.695758i | ||||||
\(216\) | −7.82311 | + | 12.4418i | −0.532295 | + | 0.846559i | ||||
\(217\) | − | 18.9641i | − | 1.28737i | ||||||
\(218\) | 5.88712 | − | 5.82464i | 0.398726 | − | 0.394494i | ||||
\(219\) | −0.533089 | − | 0.0979800i | −0.0360228 | − | 0.00662088i | ||||
\(220\) | −10.0627 | − | 0.107379i | −0.678426 | − | 0.00723947i | ||||
\(221\) | −14.1433 | + | 3.78968i | −0.951381 | + | 0.254922i | ||||
\(222\) | 23.4333 | − | 15.9730i | 1.57274 | − | 1.07204i | ||||
\(223\) | 10.1818 | − | 5.87844i | 0.681821 | − | 0.393650i | −0.118720 | − | 0.992928i | \(-0.537879\pi\) |
0.800541 | + | 0.599278i | \(0.204546\pi\) | |||||||
\(224\) | 5.53268 | + | 10.2020i | 0.369668 | + | 0.681651i | ||||
\(225\) | 10.2453 | − | 1.65404i | 0.683017 | − | 0.110269i | ||||
\(226\) | 18.8217 | + | 11.0010i | 1.25200 | + | 0.731776i | ||||
\(227\) | 1.85098 | + | 0.495968i | 0.122854 | + | 0.0329185i | 0.319722 | − | 0.947511i | \(-0.396410\pi\) |
−0.196868 | + | 0.980430i | \(0.563077\pi\) | |||||||
\(228\) | 13.1397 | − | 8.85419i | 0.870197 | − | 0.586383i | ||||
\(229\) | −2.92857 | + | 0.784708i | −0.193525 | + | 0.0518550i | −0.354280 | − | 0.935139i | \(-0.615274\pi\) |
0.160754 | + | 0.986994i | \(0.448607\pi\) | |||||||
\(230\) | −1.04264 | + | 3.80978i | −0.0687499 | + | 0.251209i | ||||
\(231\) | 0.491467 | + | 6.12780i | 0.0323361 | + | 0.403180i | ||||
\(232\) | −4.46333 | + | 15.6510i | −0.293032 | + | 1.02754i | ||||
\(233\) | 22.3128 | 1.46176 | 0.730881 | − | 0.682505i | \(-0.239109\pi\) | ||||
0.730881 | + | 0.682505i | \(0.239109\pi\) | |||||||
\(234\) | −2.28168 | + | 21.2283i | −0.149158 | + | 1.38774i | ||||
\(235\) | −6.61041 | + | 6.61041i | −0.431216 | + | 0.431216i | ||||
\(236\) | 16.5952 | − | 4.25740i | 1.08025 | − | 0.277133i | ||||
\(237\) | 0.777554 | + | 2.18538i | 0.0505076 | + | 0.141956i | ||||
\(238\) | −7.33337 | + | 4.18191i | −0.475352 | + | 0.271073i | ||||
\(239\) | 2.20682 | − | 3.82232i | 0.142747 | − | 0.247246i | −0.785783 | − | 0.618502i | \(-0.787740\pi\) |
0.928530 | + | 0.371257i | \(0.121073\pi\) | |||||||
\(240\) | −20.1159 | + | 1.18197i | −1.29848 | + | 0.0762956i | ||||
\(241\) | −6.92239 | − | 11.9899i | −0.445911 | − | 0.772340i | 0.552205 | − | 0.833709i | \(-0.313787\pi\) |
−0.998115 | + | 0.0613689i | \(0.980453\pi\) | |||||||
\(242\) | −9.77639 | − | 5.71416i | −0.628450 | − | 0.367320i | ||||
\(243\) | −12.2960 | + | 9.58162i | −0.788791 | + | 0.614661i | ||||
\(244\) | 2.11872 | + | 0.592010i | 0.135637 | + | 0.0378995i | ||||
\(245\) | 7.84068 | + | 2.10090i | 0.500922 | + | 0.134222i | ||||
\(246\) | −15.0921 | − | 12.9906i | −0.962239 | − | 0.828247i | ||||
\(247\) | 11.5088 | − | 19.9339i | 0.732290 | − | 1.26836i | ||||
\(248\) | −22.4298 | − | 13.4330i | −1.42429 | − | 0.852999i | ||||
\(249\) | −11.2272 | + | 23.6289i | −0.711492 | + | 1.49742i | ||||
\(250\) | −4.45712 | − | 4.50494i | −0.281893 | − | 0.284917i | ||||
\(251\) | 5.46337 | + | 5.46337i | 0.344845 | + | 0.344845i | 0.858185 | − | 0.513340i | \(-0.171592\pi\) |
−0.513340 | + | 0.858185i | \(0.671592\pi\) | |||||||
\(252\) | 1.83214 | + | 12.1726i | 0.115414 | + | 0.766799i | ||||
\(253\) | 1.17470 | − | 1.17470i | 0.0738528 | − | 0.0738528i | ||||
\(254\) | −0.0736020 | + | 13.7952i | −0.00461820 | + | 0.865587i | ||||
\(255\) | −1.17181 | − | 14.6106i | −0.0733817 | − | 0.914953i | ||||
\(256\) | 15.9854 | + | 0.682709i | 0.999089 | + | 0.0426693i | ||||
\(257\) | 3.48944 | + | 2.01463i | 0.217665 | + | 0.125669i | 0.604869 | − | 0.796325i | \(-0.293226\pi\) |
−0.387203 | + | 0.921994i | \(0.626559\pi\) | |||||||
\(258\) | −3.72866 | + | 7.74059i | −0.232136 | + | 0.481908i | ||||
\(259\) | 6.14770 | − | 22.9435i | 0.381999 | − | 1.42564i | ||||
\(260\) | −25.5061 | + | 14.3653i | −1.58182 | + | 0.890897i | ||||
\(261\) | −10.1048 | + | 13.9956i | −0.625468 | + | 0.866307i | ||||
\(262\) | −4.13230 | − | 15.7578i | −0.255294 | − | 0.973518i | ||||
\(263\) | −1.38048 | + | 0.797018i | −0.0851238 | + | 0.0491463i | −0.541958 | − | 0.840406i | \(-0.682317\pi\) |
0.456834 | + | 0.889552i | \(0.348983\pi\) | |||||||
\(264\) | 7.59578 | + | 3.75928i | 0.467488 | + | 0.231368i | ||||
\(265\) | 5.90359 | + | 3.40844i | 0.362655 | + | 0.209379i | ||||
\(266\) | 3.50308 | − | 12.8001i | 0.214788 | − | 0.784826i | ||||
\(267\) | 2.46294 | − | 13.4004i | 0.150730 | − | 0.820089i | ||||
\(268\) | −18.7858 | + | 4.81940i | −1.14753 | + | 0.294392i | ||||
\(269\) | 7.39664 | + | 7.39664i | 0.450981 | + | 0.450981i | 0.895680 | − | 0.444699i | \(-0.146689\pi\) |
−0.444699 | + | 0.895680i | \(0.646689\pi\) | |||||||
\(270\) | −20.4876 | − | 6.08787i | −1.24683 | − | 0.370496i | ||||
\(271\) | − | 9.52293i | − | 0.578477i | −0.957257 | − | 0.289238i | \(-0.906598\pi\) | ||
0.957257 | − | 0.289238i | \(-0.0934020\pi\) | |||||||
\(272\) | −0.248358 | + | 11.6357i | −0.0150589 | + | 0.705521i | ||||
\(273\) | 10.1508 | + | 14.7224i | 0.614352 | + | 0.891038i | ||||
\(274\) | 5.88248 | + | 10.3155i | 0.355374 | + | 0.623180i | ||||
\(275\) | −1.54891 | − | 5.78061i | −0.0934029 | − | 0.348584i | ||||
\(276\) | 2.18354 | − | 2.50958i | 0.131433 | − | 0.151059i | ||||
\(277\) | 3.34499 | − | 12.4837i | 0.200981 | − | 0.750071i | −0.789656 | − | 0.613549i | \(-0.789741\pi\) |
0.990637 | − | 0.136521i | \(-0.0435922\pi\) | |||||||
\(278\) | 3.63250 | + | 13.8519i | 0.217863 | + | 0.830779i | ||||
\(279\) | −17.5156 | − | 21.4986i | −1.04863 | − | 1.28709i | ||||
\(280\) | −12.1237 | + | 11.7416i | −0.724527 | + | 0.701697i | ||||
\(281\) | 3.22268 | + | 5.58184i | 0.192249 | + | 0.332985i | 0.945995 | − | 0.324181i | \(-0.105089\pi\) |
−0.753746 | + | 0.657165i | \(0.771755\pi\) | |||||||
\(282\) | 7.43166 | − | 2.59958i | 0.442549 | − | 0.154803i | ||||
\(283\) | 4.51670 | + | 16.8566i | 0.268490 | + | 1.00202i | 0.960079 | + | 0.279727i | \(0.0902441\pi\) |
−0.691589 | + | 0.722291i | \(0.743089\pi\) | |||||||
\(284\) | −0.0513945 | + | 4.81628i | −0.00304970 | + | 0.285794i | ||||
\(285\) | 17.5434 | + | 14.9383i | 1.03918 | + | 0.884867i | ||||
\(286\) | 12.3119 | + | 0.0656880i | 0.728016 | + | 0.00388421i | ||||
\(287\) | −16.6785 | −0.984498 | ||||||||
\(288\) | 15.6949 | + | 6.45534i | 0.924828 | + | 0.380385i | ||||
\(289\) | 8.53424 | 0.502014 | ||||||||
\(290\) | −23.6674 | − | 0.126274i | −1.38980 | − | 0.00741504i | ||||
\(291\) | 21.1767 | − | 7.53464i | 1.24140 | − | 0.441689i | ||||
\(292\) | −0.00667826 | + | 0.625834i | −0.000390816 | + | 0.0366241i | ||||
\(293\) | −1.75126 | − | 6.53579i | −0.102310 | − | 0.381825i | 0.895716 | − | 0.444626i | \(-0.146663\pi\) |
−0.998026 | + | 0.0628008i | \(0.979997\pi\) | |||||||
\(294\) | −5.18122 | − | 4.45974i | −0.302175 | − | 0.260097i | ||||
\(295\) | 12.4575 | + | 21.5770i | 0.725302 | + | 1.25626i | ||||
\(296\) | −22.7818 | − | 23.5230i | −1.32416 | − | 1.36724i | ||||
\(297\) | 6.21690 | + | 6.49281i | 0.360741 | + | 0.376751i | ||||
\(298\) | −4.93172 | − | 18.8062i | −0.285687 | − | 1.08941i | ||||
\(299\) | 1.25075 | − | 4.66787i | 0.0723328 | − | 0.269950i | ||||
\(300\) | −3.89628 | − | 11.3323i | −0.224952 | − | 0.654269i | ||||
\(301\) | 1.86252 | + | 6.95103i | 0.107354 | + | 0.400651i | ||||
\(302\) | 2.49388 | + | 4.37325i | 0.143507 | + | 0.251652i | ||||
\(303\) | 5.26479 | − | 11.0804i | 0.302454 | − | 0.636550i | ||||
\(304\) | −12.6580 | − | 13.2101i | −0.725984 | − | 0.757651i | ||||
\(305\) | 3.19915i | 0.183183i | ||||||||
\(306\) | −4.45092 | + | 11.5140i | −0.254442 | + | 0.658214i | ||||
\(307\) | 4.83046 | + | 4.83046i | 0.275689 | + | 0.275689i | 0.831385 | − | 0.555696i | \(-0.187548\pi\) |
−0.555696 | + | 0.831385i | \(0.687548\pi\) | |||||||
\(308\) | 6.87584 | − | 1.76396i | 0.391787 | − | 0.100511i | ||||
\(309\) | −6.21926 | − | 5.29572i | −0.353801 | − | 0.301263i | ||||
\(310\) | 10.0363 | − | 36.6722i | 0.570023 | − | 2.08284i | ||||
\(311\) | −0.0401112 | − | 0.0231582i | −0.00227450 | − | 0.00131318i | 0.498862 | − | 0.866681i | \(-0.333751\pi\) |
−0.501137 | + | 0.865368i | \(0.667085\pi\) | |||||||
\(312\) | 24.6030 | − | 1.57738i | 1.39287 | − | 0.0893015i | ||||
\(313\) | 0.548529 | − | 0.316693i | 0.0310047 | − | 0.0179006i | −0.484418 | − | 0.874837i | \(-0.660968\pi\) |
0.515422 | + | 0.856936i | \(0.327635\pi\) | |||||||
\(314\) | 2.09117 | + | 7.97427i | 0.118011 | + | 0.450014i | ||||
\(315\) | −16.3318 | + | 7.32986i | −0.920194 | + | 0.412991i | ||||
\(316\) | 2.33374 | − | 1.31439i | 0.131283 | − | 0.0739400i | ||||
\(317\) | 2.93614 | − | 10.9578i | 0.164910 | − | 0.615453i | −0.833141 | − | 0.553060i | \(-0.813460\pi\) |
0.998052 | − | 0.0623932i | \(-0.0198733\pi\) | |||||||
\(318\) | −3.23357 | − | 4.74384i | −0.181330 | − | 0.266021i | ||||
\(319\) | 8.62078 | + | 4.97721i | 0.482671 | + | 0.278670i | ||||
\(320\) | 5.29975 | + | 22.6563i | 0.296265 | + | 1.26653i | ||||
\(321\) | 16.6977 | − | 11.5127i | 0.931975 | − | 0.642578i | ||||
\(322\) | 0.0148651 | − | 2.78615i | 0.000828398 | − | 0.155266i | ||||
\(323\) | 9.41035 | − | 9.41035i | 0.523606 | − | 0.523606i | ||||
\(324\) | 13.3198 | + | 12.1071i | 0.739989 | + | 0.672619i | ||||
\(325\) | −12.3097 | − | 12.3097i | −0.682820 | − | 0.682820i | ||||
\(326\) | −16.7008 | − | 16.8799i | −0.924969 | − | 0.934892i | ||||
\(327\) | −5.75742 | − | 8.35039i | −0.318386 | − | 0.461778i | ||||
\(328\) | −11.8140 | + | 19.7264i | −0.652319 | + | 1.08921i | ||||
\(329\) | 3.29717 | − | 5.71086i | 0.181779 | − | 0.314850i | ||||
\(330\) | −2.29260 | + | 12.1098i | −0.126204 | + | 0.666624i | ||||
\(331\) | −18.0788 | − | 4.84419i | −0.993699 | − | 0.266261i | −0.274896 | − | 0.961474i | \(-0.588643\pi\) |
−0.718804 | + | 0.695213i | \(0.755310\pi\) | |||||||
\(332\) | 29.0932 | + | 8.12919i | 1.59670 | + | 0.446147i | ||||
\(333\) | −14.2218 | − | 31.6879i | −0.779349 | − | 1.73649i | ||||
\(334\) | 6.62296 | + | 3.87103i | 0.362392 | + | 0.211813i | ||||
\(335\) | −14.1019 | − | 24.4253i | −0.770471 | − | 1.33449i | ||||
\(336\) | 13.4902 | − | 4.47785i | 0.735952 | − | 0.244287i | ||||
\(337\) | 14.8168 | − | 25.6634i | 0.807120 | − | 1.39797i | −0.107730 | − | 0.994180i | \(-0.534358\pi\) |
0.914850 | − | 0.403793i | \(-0.132309\pi\) | |||||||
\(338\) | 15.1411 | − | 8.63434i | 0.823568 | − | 0.469646i | ||||
\(339\) | 17.3103 | − | 20.3290i | 0.940165 | − | 1.10412i | ||||
\(340\) | −16.3942 | + | 4.20584i | −0.889099 | + | 0.228094i | ||||
\(341\) | −11.3074 | + | 11.3074i | −0.612332 | + | 0.612332i | ||||
\(342\) | −7.85119 | − | 17.7463i | −0.424544 | − | 0.959609i | ||||
\(343\) | −20.0871 | −1.08460 | ||||||||
\(344\) | 9.54062 | + | 2.72079i | 0.514396 | + | 0.146695i | ||||
\(345\) | 4.36944 | + | 2.07612i | 0.235243 | + | 0.111775i | ||||
\(346\) | −5.95606 | + | 21.7632i | −0.320200 | + | 1.17000i | ||||
\(347\) | −12.3178 | + | 3.30055i | −0.661254 | + | 0.177183i | −0.573812 | − | 0.818987i | \(-0.694536\pi\) |
−0.0874424 | + | 0.996170i | \(0.527869\pi\) | |||||||
\(348\) | 17.9114 | + | 8.74600i | 0.960152 | + | 0.468835i | ||||
\(349\) | −3.68302 | − | 0.986864i | −0.197148 | − | 0.0528256i | 0.158894 | − | 0.987296i | \(-0.449207\pi\) |
−0.356042 | + | 0.934470i | \(0.615874\pi\) | |||||||
\(350\) | −8.66530 | − | 5.06475i | −0.463180 | − | 0.270722i | ||||
\(351\) | 25.1052 | + | 7.31445i | 1.34002 | + | 0.390417i | ||||
\(352\) | 2.78410 | − | 9.38187i | 0.148393 | − | 0.500055i | ||||
\(353\) | 5.12202 | − | 2.95720i | 0.272618 | − | 0.157396i | −0.357459 | − | 0.933929i | \(-0.616357\pi\) |
0.630077 | + | 0.776533i | \(0.283023\pi\) | |||||||
\(354\) | −1.56589 | − | 20.9245i | −0.0832263 | − | 1.11213i | ||||
\(355\) | −6.76578 | + | 1.81289i | −0.359090 | + | 0.0962180i | ||||
\(356\) | −15.7317 | − | 0.167873i | −0.833778 | − | 0.00889723i | ||||
\(357\) | 3.46585 | + | 9.74105i | 0.183432 | + | 0.515551i | ||||
\(358\) | 14.0644 | − | 13.9151i | 0.743328 | − | 0.735438i | ||||
\(359\) | 30.3546i | 1.60206i | 0.598626 | + | 0.801028i | \(0.295713\pi\) | ||||
−0.598626 | + | 0.801028i | \(0.704287\pi\) | |||||||
\(360\) | −2.89909 | + | 24.5085i | −0.152796 | + | 1.29171i | ||||
\(361\) | 1.92066i | 0.101088i | ||||||||
\(362\) | 17.5522 | + | 17.7405i | 0.922525 | + | 0.932421i | ||||
\(363\) | −8.99134 | + | 10.5594i | −0.471923 | + | 0.554222i | ||||
\(364\) | 14.7560 | − | 14.4444i | 0.773425 | − | 0.757093i | ||||
\(365\) | −0.879154 | + | 0.235569i | −0.0460170 | + | 0.0123302i | ||||
\(366\) | 1.16926 | − | 2.42734i | 0.0611180 | − | 0.126879i | ||||
\(367\) | −24.4676 | + | 14.1264i | −1.27720 | + | 0.737392i | −0.976333 | − | 0.216274i | \(-0.930610\pi\) |
−0.300868 | + | 0.953666i | \(0.597276\pi\) | |||||||
\(368\) | −3.28479 | − | 1.99112i | −0.171231 | − | 0.103794i | ||||
\(369\) | −18.9074 | + | 15.4045i | −0.984281 | + | 0.801928i | ||||
\(370\) | 24.0305 | − | 41.1138i | 1.24928 | − | 2.13741i | ||||
\(371\) | −4.64469 | − | 1.24454i | −0.241141 | − | 0.0646134i | ||||
\(372\) | −21.0183 | + | 24.1567i | −1.08975 | + | 1.25247i | ||||
\(373\) | 1.41897 | − | 0.380211i | 0.0734714 | − | 0.0196866i | −0.221896 | − | 0.975070i | \(-0.571225\pi\) |
0.295367 | + | 0.955384i | \(0.404558\pi\) | |||||||
\(374\) | 6.86603 | + | 1.87907i | 0.355034 | + | 0.0971642i | ||||
\(375\) | −6.38987 | + | 4.40569i | −0.329972 | + | 0.227509i | ||||
\(376\) | −4.41900 | − | 7.94495i | −0.227893 | − | 0.409729i | ||||
\(377\) | 28.9566 | 1.49134 | ||||||||
\(378\) | 15.0707 | + | 0.407616i | 0.775153 | + | 0.0209655i | ||||
\(379\) | 1.06529 | − | 1.06529i | 0.0547204 | − | 0.0547204i | −0.679217 | − | 0.733937i | \(-0.737680\pi\) |
0.733937 | + | 0.679217i | \(0.237680\pi\) | |||||||
\(380\) | 13.5483 | − | 22.8985i | 0.695012 | − | 1.17467i | ||||
\(381\) | 16.6175 | + | 3.05424i | 0.851339 | + | 0.156473i | ||||
\(382\) | 3.76051 | + | 6.59440i | 0.192404 | + | 0.337399i | ||||
\(383\) | 9.90139 | − | 17.1497i | 0.505937 | − | 0.876309i | −0.494039 | − | 0.869440i | \(-0.664480\pi\) |
0.999976 | − | 0.00686957i | \(-0.00218667\pi\) | |||||||
\(384\) | 4.25948 | − | 19.1274i | 0.217366 | − | 0.976090i | ||||
\(385\) | 5.16148 | + | 8.93994i | 0.263053 | + | 0.455621i | ||||
\(386\) | 3.82389 | − | 6.54231i | 0.194631 | − | 0.332995i | ||||
\(387\) | 8.53154 | + | 6.15972i | 0.433683 | + | 0.313116i | ||||
\(388\) | −12.7366 | − | 22.6144i | −0.646605 | − | 1.14807i | ||||
\(389\) | −2.46734 | − | 0.661123i | −0.125099 | − | 0.0335203i | 0.195726 | − | 0.980659i | \(-0.437294\pi\) |
−0.320825 | + | 0.947138i | \(0.603960\pi\) | |||||||
\(390\) | 11.8377 | + | 33.8416i | 0.599428 | + | 1.71364i | ||||
\(391\) | 1.39702 | − | 2.41972i | 0.0706506 | − | 0.122370i | ||||
\(392\) | −4.05582 | + | 6.77220i | −0.204850 | + | 0.342048i | ||||
\(393\) | −19.8880 | + | 1.59507i | −1.00321 | + | 0.0804606i | ||||
\(394\) | −12.3257 | + | 12.1949i | −0.620960 | + | 0.614369i | ||||
\(395\) | 2.75424 | + | 2.75424i | 0.138581 | + | 0.138581i | ||||
\(396\) | 6.16552 | − | 8.35035i | 0.309829 | − | 0.419621i | ||||
\(397\) | −21.2472 | + | 21.2472i | −1.06637 | + | 1.06637i | −0.0687299 | + | 0.997635i | \(0.521895\pi\) |
−0.997635 | + | 0.0687299i | \(0.978105\pi\) | |||||||
\(398\) | −14.6284 | − | 0.0780475i | −0.733256 | − | 0.00391217i | ||||
\(399\) | −14.6805 | − | 6.97537i | −0.734943 | − | 0.349205i | ||||
\(400\) | −12.1283 | + | 6.66132i | −0.606415 | + | 0.333066i | ||||
\(401\) | 17.0300 | + | 9.83227i | 0.850437 | + | 0.491000i | 0.860798 | − | 0.508946i | \(-0.169965\pi\) |
−0.0103610 | + | 0.999946i | \(0.503298\pi\) | |||||||
\(402\) | 1.77260 | + | 23.6867i | 0.0884094 | + | 1.18138i | ||||
\(403\) | −12.0395 | + | 44.9320i | −0.599729 | + | 2.23822i | ||||
\(404\) | −13.6428 | − | 3.81205i | −0.678753 | − | 0.189657i | ||||
\(405\) | −11.7445 | + | 23.3938i | −0.583587 | + | 1.16245i | ||||
\(406\) | 16.1489 | − | 4.23487i | 0.801456 | − | 0.210173i | ||||
\(407\) | −17.3457 | + | 10.0146i | −0.859796 | + | 0.496404i | ||||
\(408\) | 13.9762 | + | 2.80074i | 0.691925 | + | 0.138657i | ||||
\(409\) | −0.370476 | − | 0.213894i | −0.0183189 | − | 0.0105764i | 0.490813 | − | 0.871265i | \(-0.336700\pi\) |
−0.509131 | + | 0.860689i | \(0.670033\pi\) | |||||||
\(410\) | −32.2522 | − | 8.82664i | −1.59282 | − | 0.435917i | ||||
\(411\) | 13.7022 | − | 4.87523i | 0.675881 | − | 0.240477i | ||||
\(412\) | −4.80296 | + | 8.11768i | −0.236625 | + | 0.399929i | ||||
\(413\) | −12.4272 | − | 12.4272i | −0.611502 | − | 0.611502i | ||||
\(414\) | −2.55649 | − | 3.17223i | −0.125645 | − | 0.155907i | ||||
\(415\) | 43.9292i | 2.15640i | ||||||||
\(416\) | −6.63185 | − | 27.6842i | −0.325153 | − | 1.35733i | ||||
\(417\) | 17.4825 | − | 1.40214i | 0.856121 | − | 0.0686633i | ||||
\(418\) | −9.72085 | + | 5.54340i | −0.475462 | + | 0.271136i | ||||
\(419\) | −8.85545 | − | 33.0490i | −0.432617 | − | 1.61455i | −0.746705 | − | 0.665155i | \(-0.768365\pi\) |
0.314088 | − | 0.949394i | \(-0.398301\pi\) | |||||||
\(420\) | 11.5511 | + | 17.1419i | 0.563636 | + | 0.836441i | ||||
\(421\) | −4.16367 | + | 15.5390i | −0.202925 | + | 0.757326i | 0.787147 | + | 0.616765i | \(0.211557\pi\) |
−0.990072 | + | 0.140561i | \(0.955109\pi\) | |||||||
\(422\) | 32.5321 | − | 8.53118i | 1.58364 | − | 0.415291i | ||||
\(423\) | −1.53685 | − | 9.51941i | −0.0747243 | − | 0.462849i | ||||
\(424\) | −4.76200 | + | 4.61195i | −0.231263 | + | 0.223976i | ||||
\(425\) | −5.03260 | − | 8.71671i | −0.244117 | − | 0.422823i | ||||
\(426\) | 5.79610 | + | 1.09730i | 0.280822 | + | 0.0531645i | ||||
\(427\) | −0.584062 | − | 2.17975i | −0.0282647 | − | 0.105485i | ||||
\(428\) | −16.3825 | − | 16.7359i | −0.791877 | − | 0.808959i | ||||
\(429\) | 2.72583 | − | 14.8307i | 0.131604 | − | 0.716032i | ||||
\(430\) | −0.0769748 | + | 14.4273i | −0.00371205 | + | 0.695748i | ||||
\(431\) | 6.69108 | 0.322298 | 0.161149 | − | 0.986930i | \(-0.448480\pi\) | ||||
0.161149 | + | 0.986930i | \(0.448480\pi\) | |||||||
\(432\) | 11.1573 | − | 17.5361i | 0.536804 | − | 0.843707i | ||||
\(433\) | −16.7354 | −0.804254 | −0.402127 | − | 0.915584i | \(-0.631729\pi\) | ||||
−0.402127 | + | 0.915584i | \(0.631729\pi\) | |||||||
\(434\) | −0.143088 | + | 26.8190i | −0.00686846 | + | 1.28735i | ||||
\(435\) | −5.23993 | + | 28.5094i | −0.251236 | + | 1.36692i | ||||
\(436\) | −8.36948 | + | 8.19274i | −0.400825 | + | 0.392361i | ||||
\(437\) | 1.13680 | + | 4.24260i | 0.0543806 | + | 0.202951i | ||||
\(438\) | 0.753152 | + | 0.142585i | 0.0359870 | + | 0.00681297i | ||||
\(439\) | 5.71817 | + | 9.90416i | 0.272913 | + | 0.472700i | 0.969607 | − | 0.244669i | \(-0.0786794\pi\) |
−0.696693 | + | 0.717369i | \(0.745346\pi\) | |||||||
\(440\) | 14.2298 | + | 0.227779i | 0.678378 | + | 0.0108590i | ||||
\(441\) | −6.49103 | + | 5.28848i | −0.309097 | + | 0.251832i | ||||
\(442\) | 20.0299 | − | 5.25263i | 0.952727 | − | 0.249842i | ||||
\(443\) | 8.75609 | − | 32.6782i | 0.416014 | − | 1.55259i | −0.366781 | − | 0.930307i | \(-0.619540\pi\) |
0.782795 | − | 0.622280i | \(-0.213793\pi\) | |||||||
\(444\) | −33.2597 | + | 22.4121i | −1.57844 | + | 1.06363i | ||||
\(445\) | −5.92153 | − | 22.0994i | −0.280707 | − | 1.04761i | ||||
\(446\) | −14.4433 | + | 8.23643i | −0.683912 | + | 0.390006i | ||||
\(447\) | −23.7354 | + | 1.90364i | −1.12265 | + | 0.0900392i | ||||
\(448\) | −7.74731 | − | 14.4694i | −0.366026 | − | 0.683613i | ||||
\(449\) | − | 10.7735i | − | 0.508432i | −0.967147 | − | 0.254216i | \(-0.918183\pi\) | ||
0.967147 | − | 0.254216i | \(-0.0818174\pi\) | |||||||
\(450\) | −14.5013 | + | 2.26182i | −0.683596 | + | 0.106623i | ||||
\(451\) | 9.94459 | + | 9.94459i | 0.468273 | + | 0.468273i | ||||
\(452\) | −26.5345 | − | 15.6996i | −1.24808 | − | 0.738445i | ||||
\(453\) | 5.80907 | − | 2.06686i | 0.272934 | − | 0.0971094i | ||||
\(454\) | −2.61390 | − | 0.715360i | −0.122676 | − | 0.0335735i | ||||
\(455\) | 26.0056 | + | 15.0143i | 1.21916 | + | 0.703883i | ||||
\(456\) | −18.6489 | + | 12.4224i | −0.873313 | + | 0.581732i | ||||
\(457\) | −6.74050 | + | 3.89163i | −0.315307 | + | 0.182043i | −0.649299 | − | 0.760533i | \(-0.724938\pi\) |
0.333992 | + | 0.942576i | \(0.391604\pi\) | |||||||
\(458\) | 4.14749 | − | 1.08763i | 0.193799 | − | 0.0508217i | ||||
\(459\) | 12.9260 | + | 7.84174i | 0.603336 | + | 0.366021i | ||||
\(460\) | 1.50325 | − | 5.37990i | 0.0700892 | − | 0.250839i | ||||
\(461\) | −6.48803 | + | 24.2137i | −0.302178 | + | 1.12774i | 0.633170 | + | 0.774013i | \(0.281753\pi\) |
−0.935348 | + | 0.353730i | \(0.884913\pi\) | |||||||
\(462\) | −0.648794 | − | 8.66961i | −0.0301846 | − | 0.403347i | ||||
\(463\) | 1.11241 | + | 0.642249i | 0.0516980 | + | 0.0298479i | 0.525626 | − | 0.850716i | \(-0.323831\pi\) |
−0.473928 | + | 0.880563i | \(0.657164\pi\) | |||||||
\(464\) | 6.43011 | − | 22.0998i | 0.298510 | − | 1.02596i | ||||
\(465\) | −42.0594 | − | 19.9843i | −1.95046 | − | 0.926751i | ||||
\(466\) | −31.5547 | − | 0.168355i | −1.46174 | − | 0.00779889i | ||||
\(467\) | −21.0842 | + | 21.0842i | −0.975659 | + | 0.975659i | −0.999711 | − | 0.0240512i | \(-0.992344\pi\) |
0.0240512 | + | 0.999711i | \(0.492344\pi\) | |||||||
\(468\) | 3.38691 | − | 30.0037i | 0.156560 | − | 1.38692i | ||||
\(469\) | 14.0677 | + | 14.0677i | 0.649584 | + | 0.649584i | ||||
\(470\) | 9.39827 | − | 9.29852i | 0.433510 | − | 0.428909i | ||||
\(471\) | 10.0644 | − | 0.807190i | 0.463741 | − | 0.0371933i | ||||
\(472\) | −23.5009 | + | 5.89557i | −1.08172 | + | 0.271366i | ||||
\(473\) | 3.03404 | − | 5.25511i | 0.139505 | − | 0.241630i | ||||
\(474\) | −1.08312 | − | 3.09642i | −0.0497495 | − | 0.142223i | ||||
\(475\) | 15.2834 | + | 4.09518i | 0.701251 | + | 0.187900i | ||||
\(476\) | 10.4024 | − | 5.85870i | 0.476791 | − | 0.268533i | ||||
\(477\) | −6.41491 | + | 2.87906i | −0.293718 | + | 0.131823i | ||||
\(478\) | −3.14971 | + | 5.38885i | −0.144064 | + | 0.246480i | ||||
\(479\) | 20.5401 | + | 35.5766i | 0.938503 | + | 1.62553i | 0.768265 | + | 0.640132i | \(0.221120\pi\) |
0.170238 | + | 0.985403i | \(0.445546\pi\) | |||||||
\(480\) | 28.4567 | − | 1.51975i | 1.29886 | − | 0.0693668i | ||||
\(481\) | −29.1316 | + | 50.4574i | −1.32829 | + | 2.30066i | ||||
\(482\) | 9.69914 | + | 17.0083i | 0.441784 | + | 0.774708i | ||||
\(483\) | −3.35616 | − | 0.616851i | −0.152711 | − | 0.0280677i | ||||
\(484\) | 13.7826 | + | 8.15470i | 0.626481 | + | 0.370668i | ||||
\(485\) | 26.6891 | − | 26.6891i | 1.21189 | − | 1.21189i | ||||
\(486\) | 17.4613 | − | 13.4575i | 0.792059 | − | 0.610444i | ||||
\(487\) | −4.02337 | −0.182316 | −0.0911581 | − | 0.995836i | \(-0.529057\pi\) | ||||
−0.0911581 | + | 0.995836i | \(0.529057\pi\) | |||||||
\(488\) | −2.99181 | − | 0.853202i | −0.135433 | − | 0.0386227i | ||||
\(489\) | −23.9428 | + | 16.5080i | −1.08273 | + | 0.746519i | ||||
\(490\) | −11.0724 | − | 3.03024i | −0.500199 | − | 0.136892i | ||||
\(491\) | 28.9645 | − | 7.76101i | 1.30715 | − | 0.350250i | 0.463000 | − | 0.886358i | \(-0.346773\pi\) |
0.844149 | + | 0.536108i | \(0.180106\pi\) | |||||||
\(492\) | 21.2452 | + | 18.4850i | 0.957806 | + | 0.833369i | ||||
\(493\) | 16.1715 | + | 4.33315i | 0.728330 | + | 0.195155i | ||||
\(494\) | −16.4261 | + | 28.1035i | −0.739046 | + | 1.26444i | ||||
\(495\) | 14.1084 | + | 5.36746i | 0.634124 | + | 0.241249i | ||||
\(496\) | 31.6187 | + | 19.1662i | 1.41972 | + | 0.860586i | ||||
\(497\) | 4.27890 | − | 2.47043i | 0.191935 | − | 0.110814i | ||||
\(498\) | 16.0557 | − | 33.3311i | 0.719471 | − | 1.49360i | ||||
\(499\) | 31.0161 | − | 8.31074i | 1.38847 | − | 0.372040i | 0.514280 | − | 0.857622i | \(-0.328059\pi\) |
0.874191 | + | 0.485583i | \(0.161392\pi\) | |||||||
\(500\) | 6.26924 | + | 6.40448i | 0.280369 | + | 0.286417i | ||||
\(501\) | 6.09113 | − | 7.15337i | 0.272132 | − | 0.319589i | ||||
\(502\) | −7.68503 | − | 7.76748i | −0.343000 | − | 0.346680i | ||||
\(503\) | − | 31.7936i | − | 1.41761i | −0.705406 | − | 0.708803i | \(-0.749235\pi\) | ||
0.705406 | − | 0.708803i | \(-0.250765\pi\) | |||||||
\(504\) | −2.49915 | − | 17.2282i | −0.111321 | − | 0.767404i | ||||
\(505\) | − | 20.5999i | − | 0.916682i | ||||||
\(506\) | −1.67012 | + | 1.65239i | −0.0742458 | + | 0.0734577i | ||||
\(507\) | −7.15589 | − | 20.1122i | −0.317804 | − | 0.893215i | ||||
\(508\) | 0.208175 | − | 19.5085i | 0.00923627 | − | 0.865550i | ||||
\(509\) | 34.0226 | − | 9.11633i | 1.50803 | − | 0.404074i | 0.592246 | − | 0.805757i | \(-0.298241\pi\) |
0.915779 | + | 0.401683i | \(0.131575\pi\) | |||||||
\(510\) | 1.54693 | + | 20.6711i | 0.0684992 | + | 0.915331i | ||||
\(511\) | 0.556006 | − | 0.321010i | 0.0245963 | − | 0.0142007i | ||||
\(512\) | −22.6013 | − | 1.08610i | −0.998847 | − | 0.0479991i | ||||
\(513\) | −23.0850 | + | 5.65159i | −1.01923 | + | 0.249524i | ||||
\(514\) | −4.91955 | − | 2.87541i | −0.216992 | − | 0.126829i | ||||
\(515\) | −13.2492 | − | 3.55012i | −0.583831 | − | 0.156437i | ||||
\(516\) | 5.33145 | − | 10.9186i | 0.234704 | − | 0.480663i | ||||
\(517\) | −5.37107 | + | 1.43917i | −0.236219 | + | 0.0632948i | ||||
\(518\) | −8.86715 | + | 32.4002i | −0.389600 | + | 1.42358i | ||||
\(519\) | 24.9603 | + | 11.8598i | 1.09563 | + | 0.520586i | ||||
\(520\) | 36.1790 | − | 20.1228i | 1.58655 | − | 0.882445i | ||||
\(521\) | −11.5494 | −0.505989 | −0.252994 | − | 0.967468i | \(-0.581415\pi\) | ||||
−0.252994 | + | 0.967468i | \(0.581415\pi\) | |||||||
\(522\) | 14.3957 | − | 19.7163i | 0.630082 | − | 0.862957i | ||||
\(523\) | 2.36739 | − | 2.36739i | 0.103519 | − | 0.103519i | −0.653451 | − | 0.756969i | \(-0.726679\pi\) |
0.756969 | + | 0.653451i | \(0.226679\pi\) | |||||||
\(524\) | 5.72498 | + | 22.3157i | 0.250097 | + | 0.974867i | ||||
\(525\) | −7.96947 | + | 9.35929i | −0.347816 | + | 0.408473i | ||||
\(526\) | 1.95827 | − | 1.11672i | 0.0853848 | − | 0.0486914i | ||||
\(527\) | −13.4475 | + | 23.2917i | −0.585782 | + | 1.01460i | ||||
\(528\) | −10.7135 | − | 5.37366i | −0.466247 | − | 0.233859i | ||||
\(529\) | −11.0389 | − | 19.1200i | −0.479953 | − | 0.831303i | ||||
\(530\) | −8.32310 | − | 4.86473i | −0.361532 | − | 0.211311i | ||||
\(531\) | −25.5660 | − | 2.61000i | −1.10947 | − | 0.113264i | ||||
\(532\) | −5.05062 | + | 18.0754i | −0.218972 | + | 0.783669i | ||||
\(533\) | 39.5165 | + | 10.5884i | 1.71165 | + | 0.458635i | ||||
\(534\) | −3.58418 | + | 18.9321i | −0.155103 | + | 0.819273i | ||||
\(535\) | 17.0289 | − | 29.4949i | 0.736222 | − | 1.27517i | ||||
\(536\) | 26.6032 | − | 6.67383i | 1.14908 | − | 0.288265i | ||||
\(537\) | −13.7546 | − | 19.9492i | −0.593553 | − | 0.860872i | ||||
\(538\) | −10.4045 | − | 10.5161i | −0.448568 | − | 0.453381i | ||||
\(539\) | 3.41404 | + | 3.41404i | 0.147053 | + | 0.147053i | ||||
\(540\) | 28.9274 | + | 8.76401i | 1.24484 | + | 0.377143i | ||||
\(541\) | −20.9332 | + | 20.9332i | −0.899989 | + | 0.899989i | −0.995435 | − | 0.0954454i | \(-0.969572\pi\) |
0.0954454 | + | 0.995435i | \(0.469572\pi\) | |||||||
\(542\) | −0.0718524 | + | 13.4673i | −0.00308633 | + | 0.578469i | ||||
\(543\) | 25.1635 | − | 17.3497i | 1.07987 | − | 0.744546i | ||||
\(544\) | 0.439020 | − | 16.4533i | 0.0188228 | − | 0.705430i | ||||
\(545\) | −14.7501 | − | 8.51600i | −0.631827 | − | 0.364785i | ||||
\(546\) | −14.2441 | − | 20.8968i | −0.609589 | − | 0.894303i | ||||
\(547\) | 9.19026 | − | 34.2985i | 0.392947 | − | 1.46650i | −0.432301 | − | 0.901729i | \(-0.642298\pi\) |
0.825248 | − | 0.564770i | \(-0.191035\pi\) | |||||||
\(548\) | −8.24114 | − | 14.6325i | −0.352044 | − | 0.625068i | ||||
\(549\) | −2.67537 | − | 1.93160i | −0.114182 | − | 0.0824389i | ||||
\(550\) | 2.14684 | + | 8.18659i | 0.0915417 | + | 0.349078i | ||||
\(551\) | −22.7926 | + | 13.1593i | −0.970995 | + | 0.560604i | ||||
\(552\) | −3.10688 | + | 3.53255i | −0.132237 | + | 0.150355i | ||||
\(553\) | −2.37944 | − | 1.37377i | −0.101184 | − | 0.0584188i | ||||
\(554\) | −4.82465 | + | 17.6291i | −0.204980 | + | 0.748988i | ||||
\(555\) | −44.4065 | − | 37.8124i | −1.88495 | − | 1.60504i | ||||
\(556\) | −5.03254 | − | 19.6166i | −0.213427 | − | 0.831930i | ||||
\(557\) | 11.1853 | + | 11.1853i | 0.473937 | + | 0.473937i | 0.903186 | − | 0.429249i | \(-0.141222\pi\) |
−0.429249 | + | 0.903186i | \(0.641222\pi\) | |||||||
\(558\) | 24.6083 | + | 30.5353i | 1.04175 | + | 1.29266i | ||||
\(559\) | − | 17.6516i | − | 0.746583i | ||||||
\(560\) | 17.2338 | − | 16.5135i | 0.728261 | − | 0.697822i | ||||
\(561\) | 3.74161 | − | 7.87466i | 0.157971 | − | 0.332468i | ||||
\(562\) | −4.51537 | − | 7.91812i | −0.190469 | − | 0.334006i | ||||
\(563\) | 1.24311 | + | 4.63936i | 0.0523910 | + | 0.195526i | 0.987161 | − | 0.159727i | \(-0.0510614\pi\) |
−0.934770 | + | 0.355253i | \(0.884395\pi\) | |||||||
\(564\) | −10.5294 | + | 3.62024i | −0.443368 | + | 0.152440i | ||||
\(565\) | 11.6044 | − | 43.3082i | 0.488200 | − | 1.82199i | ||||
\(566\) | −6.26030 | − | 23.8725i | −0.263140 | − | 1.00344i | ||||
\(567\) | 3.73116 | − | 18.0836i | 0.156694 | − | 0.759440i | ||||
\(568\) | 0.109022 | − | 6.81077i | 0.00457444 | − | 0.285773i | ||||
\(569\) | −5.74273 | − | 9.94671i | −0.240748 | − | 0.416988i | 0.720180 | − | 0.693788i | \(-0.244059\pi\) |
−0.960928 | + | 0.276800i | \(0.910726\pi\) | |||||||
\(570\) | −24.6970 | − | 21.2580i | −1.03445 | − | 0.890399i | ||||
\(571\) | 1.33767 | + | 4.99227i | 0.0559799 | + | 0.208920i | 0.988251 | − | 0.152841i | \(-0.0488423\pi\) |
−0.932271 | + | 0.361761i | \(0.882176\pi\) | |||||||
\(572\) | −17.4109 | − | 0.185791i | −0.727985 | − | 0.00776831i | ||||
\(573\) | 8.75945 | − | 3.11660i | 0.365931 | − | 0.130198i | ||||
\(574\) | 23.5866 | + | 0.125842i | 0.984484 | + | 0.00525256i | ||||
\(575\) | 3.32193 | 0.138534 | ||||||||
\(576\) | −22.1469 | − | 9.24753i | −0.922786 | − | 0.385314i | ||||
\(577\) | −25.5971 | −1.06562 | −0.532810 | − | 0.846235i | \(-0.678864\pi\) | ||||
−0.532810 | + | 0.846235i | \(0.678864\pi\) | |||||||
\(578\) | −12.0691 | − | 0.0643925i | −0.502007 | − | 0.00267838i | ||||
\(579\) | −7.06627 | − | 6.01696i | −0.293664 | − | 0.250056i | ||||
\(580\) | 33.4693 | + | 0.357151i | 1.38974 | + | 0.0148299i | ||||
\(581\) | −8.02005 | − | 29.9312i | −0.332728 | − | 1.24176i | ||||
\(582\) | −30.0048 | + | 10.4957i | −1.24374 | + | 0.435059i | ||||
\(583\) | 2.02735 | + | 3.51148i | 0.0839644 | + | 0.145431i | ||||
\(584\) | 0.0141664 | − | 0.885000i | 0.000586209 | − | 0.0366215i | ||||
\(585\) | 43.3486 | − | 6.99837i | 1.79224 | − | 0.289347i | ||||
\(586\) | 2.42731 | + | 9.25609i | 0.100271 | + | 0.382365i | ||||
\(587\) | −0.719512 | + | 2.68525i | −0.0296974 | + | 0.110832i | −0.979184 | − | 0.202977i | \(-0.934938\pi\) |
0.949486 | + | 0.313809i | \(0.101605\pi\) | |||||||
\(588\) | 7.29360 | + | 6.34602i | 0.300783 | + | 0.261706i | ||||
\(589\) | −10.9426 | − | 40.8385i | −0.450883 | − | 1.68272i | ||||
\(590\) | −17.4545 | − | 30.6080i | −0.718589 | − | 1.26011i | ||||
\(591\) | 12.0541 | + | 17.4830i | 0.495841 | + | 0.719153i | ||||
\(592\) | 32.0403 | + | 33.4379i | 1.31685 | + | 1.37429i | ||||
\(593\) | − | 0.335583i | − | 0.0137807i | −0.999976 | − | 0.00689036i | \(-0.997807\pi\) | ||
0.999976 | − | 0.00689036i | \(-0.00219329\pi\) | |||||||
\(594\) | −8.74292 | − | 9.22900i | −0.358726 | − | 0.378670i | ||||
\(595\) | 12.2767 | + | 12.2767i | 0.503295 | + | 0.503295i | ||||
\(596\) | 6.83251 | + | 26.6328i | 0.279870 | + | 1.09092i | ||||
\(597\) | −3.23871 | + | 17.6212i | −0.132552 | + | 0.721186i | ||||
\(598\) | −1.80402 | + | 6.59183i | −0.0737720 | + | 0.269560i | ||||
\(599\) | −3.98883 | − | 2.30295i | −0.162979 | − | 0.0940961i | 0.416292 | − | 0.909231i | \(-0.363329\pi\) |
−0.579271 | + | 0.815135i | \(0.696663\pi\) | |||||||
\(600\) | 5.42460 | + | 16.0554i | 0.221458 | + | 0.655460i | ||||
\(601\) | 29.9967 | − | 17.3186i | 1.22359 | − | 0.706440i | 0.257909 | − | 0.966169i | \(-0.416966\pi\) |
0.965682 | + | 0.259729i | \(0.0836331\pi\) | |||||||
\(602\) | −2.58152 | − | 9.84416i | −0.105215 | − | 0.401218i | ||||
\(603\) | 28.9408 | + | 2.95454i | 1.17856 | + | 0.120318i | ||||
\(604\) | −3.49384 | − | 6.20344i | −0.142162 | − | 0.252415i | ||||
\(605\) | −6.02757 | + | 22.4952i | −0.245056 | + | 0.914560i | ||||
\(606\) | −7.52904 | + | 15.6301i | −0.305846 | + | 0.634928i | ||||
\(607\) | −18.3567 | − | 10.5982i | −0.745074 | − | 0.430169i | 0.0788371 | − | 0.996888i | \(-0.474879\pi\) |
−0.823911 | + | 0.566719i | \(0.808213\pi\) | |||||||
\(608\) | 17.8011 | + | 18.7771i | 0.721931 | + | 0.761514i | ||||
\(609\) | −1.63466 | − | 20.3816i | −0.0662398 | − | 0.825904i | ||||
\(610\) | 0.0241382 | − | 4.52422i | 0.000977328 | − | 0.183180i | ||||
\(611\) | −11.4376 | + | 11.4376i | −0.462715 | + | 0.462715i | ||||
\(612\) | 6.38134 | − | 16.2495i | 0.257951 | − | 0.656847i | ||||
\(613\) | 15.1548 | + | 15.1548i | 0.612098 | + | 0.612098i | 0.943492 | − | 0.331394i | \(-0.107519\pi\) |
−0.331394 | + | 0.943492i | \(0.607519\pi\) | |||||||
\(614\) | −6.79475 | − | 6.86765i | −0.274214 | − | 0.277156i | ||||
\(615\) | −17.5757 | + | 36.9901i | −0.708720 | + | 1.49158i | ||||
\(616\) | −9.73707 | + | 2.44270i | −0.392318 | + | 0.0984192i | ||||
\(617\) | −2.56785 | + | 4.44764i | −0.103378 | + | 0.179055i | −0.913074 | − | 0.407793i | \(-0.866298\pi\) |
0.809697 | + | 0.586849i | \(0.199632\pi\) | |||||||
\(618\) | 8.75527 | + | 7.53610i | 0.352189 | + | 0.303146i | ||||
\(619\) | 36.3415 | + | 9.73767i | 1.46069 | + | 0.391390i | 0.899727 | − | 0.436452i | \(-0.143765\pi\) |
0.560961 | + | 0.827842i | \(0.310432\pi\) | |||||||
\(620\) | −14.4699 | + | 51.7858i | −0.581127 | + | 2.07977i | ||||
\(621\) | −4.37442 | + | 2.40052i | −0.175539 | + | 0.0963297i | ||||
\(622\) | 0.0565502 | + | 0.0330528i | 0.00226746 | + | 0.00132530i | ||||
\(623\) | 8.06929 | + | 13.9764i | 0.323289 | + | 0.559954i | ||||
\(624\) | −34.8053 | + | 2.04508i | −1.39333 | + | 0.0818689i | ||||
\(625\) | −15.1649 | + | 26.2663i | −0.606595 | + | 1.05065i | ||||
\(626\) | −0.778115 | + | 0.443727i | −0.0310997 | + | 0.0177349i | ||||
\(627\) | 4.59420 | + | 12.9124i | 0.183475 | + | 0.515671i | ||||
\(628\) | −2.89714 | − | 11.2929i | −0.115609 | − | 0.450637i | ||||
\(629\) | −23.8198 | + | 23.8198i | −0.949760 | + | 0.949760i | ||||
\(630\) | 23.1517 | − | 10.2426i | 0.922385 | − | 0.408075i | ||||
\(631\) | −30.8454 | −1.22794 | −0.613969 | − | 0.789330i | \(-0.710428\pi\) | ||||
−0.613969 | + | 0.789330i | \(0.710428\pi\) | |||||||
\(632\) | −3.31028 | + | 1.84119i | −0.131676 | + | 0.0732385i | ||||
\(633\) | −3.29304 | − | 41.0589i | −0.130886 | − | 1.63194i | ||||
\(634\) | −4.23495 | + | 15.4743i | −0.168191 | + | 0.614565i | ||||
\(635\) | 27.4050 | − | 7.34315i | 1.08753 | − | 0.291404i | ||||
\(636\) | 4.53711 | + | 6.73310i | 0.179908 | + | 0.266985i | ||||
\(637\) | 13.5662 | + | 3.63507i | 0.537514 | + | 0.144027i | ||||
\(638\) | −12.1539 | − | 7.10378i | −0.481177 | − | 0.281241i | ||||
\(639\) | 2.56902 | − | 6.75266i | 0.101629 | − | 0.267131i | ||||
\(640\) | −7.32392 | − | 32.0804i | −0.289504 | − | 1.26809i | ||||
\(641\) | 3.40556 | − | 1.96620i | 0.134512 | − | 0.0776603i | −0.431234 | − | 0.902240i | \(-0.641922\pi\) |
0.565746 | + | 0.824580i | \(0.308588\pi\) | |||||||
\(642\) | −23.7007 | + | 16.1552i | −0.935391 | + | 0.637596i | ||||
\(643\) | 6.13231 | − | 1.64315i | 0.241835 | − | 0.0647994i | −0.135866 | − | 0.990727i | \(-0.543382\pi\) |
0.377700 | + | 0.925928i | \(0.376715\pi\) | |||||||
\(644\) | −0.0420442 | + | 3.94005i | −0.00165677 | + | 0.155260i | ||||
\(645\) | 17.3790 | + | 3.19419i | 0.684296 | + | 0.125771i | ||||
\(646\) | −13.3791 | + | 13.2371i | −0.526392 | + | 0.520805i | ||||
\(647\) | − | 29.0686i | − | 1.14280i | −0.820670 | − | 0.571402i | \(-0.806400\pi\) | ||
0.820670 | − | 0.571402i | \(-0.193600\pi\) | |||||||
\(648\) | −18.7454 | − | 17.2223i | −0.736390 | − | 0.676557i | ||||
\(649\) | 14.8195i | 0.581717i | ||||||||
\(650\) | 17.3154 | + | 17.5012i | 0.679167 | + | 0.686453i | ||||
\(651\) | 32.3057 | + | 5.93768i | 1.26616 | + | 0.232716i | ||||
\(652\) | 23.4907 | + | 23.9975i | 0.919968 | + | 0.939814i | ||||
\(653\) | −47.3742 | + | 12.6939i | −1.85390 | + | 0.496750i | −0.999730 | − | 0.0232472i | \(-0.992600\pi\) |
−0.854168 | + | 0.519998i | \(0.825933\pi\) | |||||||
\(654\) | 8.07910 | + | 11.8525i | 0.315918 | + | 0.463470i | ||||
\(655\) | −29.0148 | + | 16.7517i | −1.13370 | + | 0.654543i | ||||
\(656\) | 16.8561 | − | 27.8078i | 0.658121 | − | 1.08571i | ||||
\(657\) | 0.333821 | − | 0.877449i | 0.0130236 | − | 0.0342325i | ||||
\(658\) | −4.70592 | + | 8.05139i | −0.183456 | + | 0.313876i | ||||
\(659\) | 1.60230 | + | 0.429334i | 0.0624166 | + | 0.0167245i | 0.289892 | − | 0.957059i | \(-0.406381\pi\) |
−0.227476 | + | 0.973784i | \(0.573047\pi\) | |||||||
\(660\) | 3.33355 | − | 17.1083i | 0.129758 | − | 0.665941i | ||||
\(661\) | 38.9352 | − | 10.4327i | 1.51440 | − | 0.405783i | 0.596508 | − | 0.802607i | \(-0.296554\pi\) |
0.917895 | + | 0.396824i | \(0.129888\pi\) | |||||||
\(662\) | 25.5303 | + | 6.98704i | 0.992265 | + | 0.271559i | ||||
\(663\) | −2.02752 | − | 25.2799i | −0.0787422 | − | 0.981789i | ||||
\(664\) | −41.0820 | − | 11.7158i | −1.59429 | − | 0.454660i | ||||
\(665\) | −27.2929 | −1.05837 | ||||||||
\(666\) | 19.8733 | + | 44.9201i | 0.770073 | + | 1.74062i | ||||
\(667\) | −3.90715 | + | 3.90715i | −0.151286 | + | 0.151286i | ||||
\(668\) | −9.33694 | − | 5.52435i | −0.361257 | − | 0.213744i | ||||
\(669\) | 6.82611 | + | 19.1853i | 0.263913 | + | 0.741748i | ||||
\(670\) | 19.7586 | + | 34.6485i | 0.763340 | + | 1.33859i | ||||
\(671\) | −0.951434 | + | 1.64793i | −0.0367297 | + | 0.0636177i | ||||
\(672\) | −19.1116 | + | 6.23076i | −0.737245 | + | 0.240357i | ||||
\(673\) | 16.4569 | + | 28.5042i | 0.634366 | + | 1.09875i | 0.986649 | + | 0.162861i | \(0.0520722\pi\) |
−0.352283 | + | 0.935894i | \(0.614595\pi\) | |||||||
\(674\) | −21.1474 | + | 36.1812i | −0.814567 | + | 1.39365i | ||||
\(675\) | −0.390119 | + | 17.9708i | −0.0150157 | + | 0.691698i | ||||
\(676\) | −21.4776 | + | 12.0964i | −0.826062 | + | 0.465246i | ||||
\(677\) | −44.2173 | − | 11.8480i | −1.69941 | − | 0.455355i | −0.726617 | − | 0.687042i | \(-0.758909\pi\) |
−0.972790 | + | 0.231687i | \(0.925575\pi\) | |||||||
\(678\) | −24.6335 | + | 28.6186i | −0.946042 | + | 1.09909i | ||||
\(679\) | −13.3121 | + | 23.0573i | −0.510872 | + | 0.884856i | ||||
\(680\) | 23.2163 | − | 5.82417i | 0.890303 | − | 0.223347i | ||||
\(681\) | −1.42443 | + | 2.99788i | −0.0545843 | + | 0.114879i | ||||
\(682\) | 16.0762 | − | 15.9056i | 0.615590 | − | 0.609056i | ||||
\(683\) | −13.5540 | − | 13.5540i | −0.518630 | − | 0.518630i | 0.398527 | − | 0.917157i | \(-0.369522\pi\) |
−0.917157 | + | 0.398527i | \(0.869522\pi\) | |||||||
\(684\) | 10.9692 | + | 25.1559i | 0.419418 | + | 0.961861i | ||||
\(685\) | 17.2690 | − | 17.2690i | 0.659813 | − | 0.659813i | ||||
\(686\) | 28.4071 | + | 0.151561i | 1.08459 | + | 0.00578663i | ||||
\(687\) | −0.419826 | − | 5.23456i | −0.0160174 | − | 0.199711i | ||||
\(688\) | −13.4718 | − | 3.91971i | −0.513606 | − | 0.149438i | ||||
\(689\) | 10.2146 | + | 5.89742i | 0.389146 | + | 0.224674i | ||||
\(690\) | −6.16357 | − | 2.96900i | −0.234643 | − | 0.113028i | ||||
\(691\) | 12.9864 | − | 48.4658i | 0.494025 | − | 1.84373i | −0.0414008 | − | 0.999143i | \(-0.513182\pi\) |
0.535425 | − | 0.844583i | \(-0.320151\pi\) | |||||||
\(692\) | 8.58724 | − | 30.7325i | 0.326438 | − | 1.16827i | ||||
\(693\) | −10.5927 | − | 1.08140i | −0.402383 | − | 0.0410789i | ||||
\(694\) | 17.4447 | − | 4.57467i | 0.662190 | − | 0.173652i | ||||
\(695\) | 25.5055 | − | 14.7256i | 0.967477 | − | 0.558573i | ||||
\(696\) | −25.2642 | − | 12.5037i | −0.957637 | − | 0.473951i | ||||
\(697\) | 20.4845 | + | 11.8267i | 0.775904 | + | 0.447968i | ||||
\(698\) | 5.20106 | + | 1.42341i | 0.196863 | + | 0.0538767i | ||||
\(699\) | −6.98616 | + | 38.0103i | −0.264241 | + | 1.43768i | ||||
\(700\) | 12.2162 | + | 7.22792i | 0.461729 | + | 0.273190i | ||||
\(701\) | 3.21893 | + | 3.21893i | 0.121577 | + | 0.121577i | 0.765278 | − | 0.643700i | \(-0.222602\pi\) |
−0.643700 | + | 0.765278i | \(0.722602\pi\) | |||||||
\(702\) | −35.4484 | − | 10.5335i | −1.33791 | − | 0.397561i | ||||
\(703\) | − | 52.9552i | − | 1.99724i | ||||||
\(704\) | −4.00805 | + | 13.2468i | −0.151059 | + | 0.499256i | ||||
\(705\) | −9.19122 | − | 13.3307i | −0.346161 | − | 0.502062i | ||||
\(706\) | −7.26584 | + | 4.14341i | −0.273453 | + | 0.155939i | ||||
\(707\) | 3.76087 | + | 14.0358i | 0.141442 | + | 0.527869i | ||||
\(708\) | 2.05660 | + | 29.6031i | 0.0772917 | + | 1.11255i | ||||
\(709\) | 0.104383 | − | 0.389561i | 0.00392017 | − | 0.0146303i | −0.963938 | − | 0.266127i | \(-0.914256\pi\) |
0.967858 | + | 0.251496i | \(0.0809227\pi\) | |||||||
\(710\) | 9.58180 | − | 2.51272i | 0.359599 | − | 0.0943007i | ||||
\(711\) | −3.96628 | + | 0.640333i | −0.148747 | + | 0.0240143i | ||||
\(712\) | 22.2464 | + | 0.356103i | 0.833719 | + | 0.0133455i | ||||
\(713\) | −4.43822 | − | 7.68722i | −0.166213 | − | 0.287889i | ||||
\(714\) | −4.82788 | − | 13.8019i | −0.180679 | − | 0.516522i | ||||
\(715\) | −6.55358 | − | 24.4583i | −0.245090 | − | 0.914688i | ||||
\(716\) | −19.9948 | + | 19.5726i | −0.747241 | + | 0.731462i | ||||
\(717\) | 5.82043 | + | 4.95612i | 0.217368 | + | 0.185090i | ||||
\(718\) | 0.229032 | − | 42.9273i | 0.00854739 | − | 1.60203i | ||||
\(719\) | 4.42409 | 0.164991 | 0.0824953 | − | 0.996591i | \(-0.473711\pi\) | ||||
0.0824953 | + | 0.996591i | \(0.473711\pi\) | |||||||
\(720\) | 4.28480 | − | 34.6378i | 0.159685 | − | 1.29088i | ||||
\(721\) | 9.67554 | 0.360336 | ||||||||
\(722\) | 0.0144918 | − | 2.71619i | 0.000539329 | − | 0.101086i | ||||
\(723\) | 22.5925 | − | 8.03836i | 0.840223 | − | 0.298950i | ||||
\(724\) | −24.6884 | − | 25.2210i | −0.917537 | − | 0.937330i | ||||
\(725\) | 5.15181 | + | 19.2268i | 0.191333 | + | 0.714066i | ||||
\(726\) | 12.7952 | − | 14.8651i | 0.474873 | − | 0.551697i | ||||
\(727\) | 24.1060 | + | 41.7529i | 0.894044 | + | 1.54853i | 0.834984 | + | 0.550274i | \(0.185477\pi\) |
0.0590597 | + | 0.998254i | \(0.481190\pi\) | |||||||
\(728\) | −20.9768 | + | 20.3159i | −0.777453 | + | 0.752956i | ||||
\(729\) | −12.4726 | − | 23.9465i | −0.461947 | − | 0.886908i | ||||
\(730\) | 1.24507 | − | 0.326506i | 0.0460821 | − | 0.0120845i | ||||
\(731\) | 2.64143 | − | 9.85796i | 0.0976969 | − | 0.364610i | ||||
\(732\) | −1.67187 | + | 3.42391i | −0.0617941 | + | 0.126551i | ||||
\(733\) | −11.3124 | − | 42.2183i | −0.417831 | − | 1.55937i | −0.779096 | − | 0.626904i | \(-0.784322\pi\) |
0.361265 | − | 0.932463i | \(-0.382345\pi\) | |||||||
\(734\) | 34.7086 | − | 19.7928i | 1.28112 | − | 0.730567i | ||||
\(735\) | −6.03384 | + | 12.6989i | −0.222562 | + | 0.468407i | ||||
\(736\) | 4.63030 | + | 2.84062i | 0.170675 | + | 0.104707i | ||||
\(737\) | − | 16.7758i | − | 0.617944i | ||||||
\(738\) | 26.8550 | − | 21.6423i | 0.988545 | − | 0.796666i | ||||
\(739\) | −4.26794 | − | 4.26794i | −0.156999 | − | 0.156999i | 0.624237 | − | 0.781235i | \(-0.285410\pi\) |
−0.781235 | + | 0.624237i | \(0.785410\pi\) | |||||||
\(740\) | −34.2939 | + | 57.9616i | −1.26067 | + | 2.13071i | ||||
\(741\) | 30.3543 | + | 25.8468i | 1.11509 | + | 0.949506i | ||||
\(742\) | 6.55911 | + | 1.79507i | 0.240792 | + | 0.0658990i | ||||
\(743\) | −10.5668 | − | 6.10073i | −0.387657 | − | 0.223814i | 0.293487 | − | 0.955963i | \(-0.405184\pi\) |
−0.681145 | + | 0.732149i | \(0.738518\pi\) | |||||||
\(744\) | 29.9062 | − | 34.0037i | 1.09641 | − | 1.24663i | ||||
\(745\) | −34.6279 | + | 19.9924i | −1.26867 | + | 0.732466i | ||||
\(746\) | −2.00956 | + | 0.526986i | −0.0735754 | + | 0.0192943i | ||||
\(747\) | −36.7369 | − | 26.5239i | −1.34413 | − | 0.970457i | ||||
\(748\) | −9.69572 | − | 2.70917i | −0.354510 | − | 0.0990570i | ||||
\(749\) | −6.21785 | + | 23.2053i | −0.227195 | + | 0.847904i | ||||
\(750\) | 9.06976 | − | 6.18228i | 0.331181 | − | 0.225745i | ||||
\(751\) | 12.1070 | + | 6.99000i | 0.441792 | + | 0.255069i | 0.704357 | − | 0.709846i | \(-0.251235\pi\) |
−0.262566 | + | 0.964914i | \(0.584569\pi\) | |||||||
\(752\) | 6.18938 | + | 11.2690i | 0.225703 | + | 0.410940i | ||||
\(753\) | −11.0175 | + | 7.59635i | −0.401501 | + | 0.276826i | ||||
\(754\) | −40.9503 | − | 0.218484i | −1.49132 | − | 0.00795671i | ||||
\(755\) | 7.32119 | − | 7.32119i | 0.266445 | − | 0.266445i | ||||
\(756\) | −21.3098 | − | 0.690159i | −0.775030 | − | 0.0251008i | ||||
\(757\) | −0.365397 | − | 0.365397i | −0.0132806 | − | 0.0132806i | 0.700435 | − | 0.713716i | \(-0.252989\pi\) |
−0.713716 | + | 0.700435i | \(0.752989\pi\) | |||||||
\(758\) | −1.51457 | + | 1.49849i | −0.0550116 | + | 0.0544277i | ||||
\(759\) | 1.63332 | + | 2.36892i | 0.0592859 | + | 0.0859864i | ||||
\(760\) | −19.3327 | + | 32.2807i | −0.701269 | + | 1.17094i | ||||
\(761\) | −2.63786 | + | 4.56890i | −0.0956222 | + | 0.165623i | −0.909868 | − | 0.414898i | \(-0.863817\pi\) |
0.814246 | + | 0.580520i | \(0.197151\pi\) | |||||||
\(762\) | −23.4773 | − | 4.44466i | −0.850492 | − | 0.161013i | ||||
\(763\) | 11.6048 | + | 3.10949i | 0.420122 | + | 0.112571i | ||||
\(764\) | −5.26833 | − | 9.35412i | −0.190602 | − | 0.338420i | ||||
\(765\) | 25.2563 | + | 2.57839i | 0.913145 | + | 0.0932220i | ||||
\(766\) | −14.1319 | + | 24.1783i | −0.510606 | + | 0.873598i | ||||
\(767\) | 21.5544 | + | 37.3333i | 0.778285 | + | 1.34803i | ||||
\(768\) | −6.16805 | + | 27.0177i | −0.222570 | + | 0.974917i | ||||
\(769\) | 18.6972 | − | 32.3845i | 0.674238 | − | 1.16781i | −0.302453 | − | 0.953164i | \(-0.597806\pi\) |
0.976691 | − | 0.214650i | \(-0.0688610\pi\) | |||||||
\(770\) | −7.23187 | − | 12.6817i | −0.260619 | − | 0.457018i | ||||
\(771\) | −4.52450 | + | 5.31354i | −0.162946 | + | 0.191363i | ||||
\(772\) | −5.45708 | + | 9.22325i | −0.196405 | + | 0.331952i | ||||
\(773\) | −26.3255 | + | 26.3255i | −0.946864 | + | 0.946864i | −0.998658 | − | 0.0517940i | \(-0.983506\pi\) |
0.0517940 | + | 0.998658i | \(0.483506\pi\) | |||||||
\(774\) | −12.0188 | − | 8.77541i | −0.432006 | − | 0.315426i | ||||
\(775\) | −31.9762 | −1.14862 | ||||||||
\(776\) | 17.8414 | + | 32.0772i | 0.640471 | + | 1.15151i | ||||
\(777\) | 37.1598 | + | 17.6563i | 1.33310 | + | 0.633417i | ||||
\(778\) | 3.48431 | + | 0.953572i | 0.124919 | + | 0.0341872i | ||||
\(779\) | −35.9163 | + | 9.62376i | −1.28684 | + | 0.344807i | ||||
\(780\) | −16.4855 | − | 47.9479i | −0.590276 | − | 1.71681i | ||||
\(781\) | −4.02431 | − | 1.07831i | −0.144001 | − | 0.0385850i | ||||
\(782\) | −1.99392 | + | 3.41141i | −0.0713024 | + | 0.121992i | ||||
\(783\) | −20.6780 | − | 21.5956i | −0.738970 | − | 0.771765i | ||||
\(784\) | 5.78681 | − | 9.54660i | 0.206672 | − | 0.340950i | ||||
\(785\) | 14.6830 | − | 8.47726i | 0.524060 | − | 0.302566i | ||||
\(786\) | 28.1374 | − | 2.10568i | 1.00363 | − | 0.0751070i | ||||
\(787\) | −23.9652 | + | 6.42145i | −0.854267 | + | 0.228900i | −0.659272 | − | 0.751904i | \(-0.729136\pi\) |
−0.194995 | + | 0.980804i | \(0.562469\pi\) | |||||||
\(788\) | 17.5229 | − | 17.1529i | 0.624229 | − | 0.611047i | ||||
\(789\) | −0.925506 | − | 2.60121i | −0.0329489 | − | 0.0926056i | ||||
\(790\) | −3.87425 | − | 3.91581i | −0.137840 | − | 0.139318i | ||||
\(791\) | 31.6267i | 1.12452i | ||||||||
\(792\) | −8.78224 | + | 11.7625i | −0.312063 | + | 0.417962i | ||||
\(793\) | 5.53530i | 0.196564i | ||||||||
\(794\) | 30.2079 | − | 29.8873i | 1.07204 | − | 1.06066i | ||||
\(795\) | −7.65475 | + | 8.98968i | −0.271486 | + | 0.318831i | ||||
\(796\) | 20.6868 | + | 0.220749i | 0.733224 | + | 0.00782422i | ||||
\(797\) | 32.9345 | − | 8.82476i | 1.16660 | − | 0.312589i | 0.377000 | − | 0.926213i | \(-0.376956\pi\) |
0.789598 | + | 0.613624i | \(0.210289\pi\) | |||||||
\(798\) | 20.7084 | + | 9.97529i | 0.733070 | + | 0.353121i | ||||
\(799\) | −8.09915 | + | 4.67605i | −0.286527 | + | 0.165427i | ||||
\(800\) | 17.2020 | − | 9.32888i | 0.608183 | − | 0.329826i | ||||
\(801\) | 22.0566 | + | 8.39132i | 0.779331 | + | 0.296493i | ||||
\(802\) | −24.0095 | − | 14.0332i | −0.847806 | − | 0.495531i | ||||
\(803\) | −0.522924 | − | 0.140117i | −0.0184536 | − | 0.00494463i | ||||
\(804\) | −2.32808 | − | 33.5109i | −0.0821051 | − | 1.18184i | ||||
\(805\) | −5.53487 | + | 1.48306i | −0.195079 | + | 0.0522711i | ||||
\(806\) | 17.3652 | − | 63.4516i | 0.611662 | − | 2.23499i | ||||
\(807\) | −14.9162 | + | 10.2844i | −0.525075 | + | 0.362028i | ||||
\(808\) | 19.2647 | + | 5.49391i | 0.677731 | + | 0.193275i | ||||
\(809\) | −17.0673 | −0.600054 | −0.300027 | − | 0.953931i | \(-0.596996\pi\) | ||||
−0.300027 | + | 0.953931i | \(0.596996\pi\) | |||||||
\(810\) | 16.7855 | − | 32.9948i | 0.589781 | − | 1.15932i | ||||
\(811\) | −14.4248 | + | 14.4248i | −0.506523 | + | 0.506523i | −0.913458 | − | 0.406934i | \(-0.866598\pi\) |
0.406934 | + | 0.913458i | \(0.366598\pi\) | |||||||
\(812\) | −22.8696 | + | 5.86708i | −0.802566 | + | 0.205894i | ||||
\(813\) | 16.2225 | + | 2.98163i | 0.568947 | + | 0.104570i | ||||
\(814\) | 24.6058 | − | 14.0317i | 0.862433 | − | 0.491809i | ||||
\(815\) | −24.4176 | + | 42.2925i | −0.855311 | + | 1.48144i | ||||
\(816\) | −19.7439 | − | 4.06624i | −0.691175 | − | 0.142347i | ||||
\(817\) | 8.02173 | + | 13.8940i | 0.280645 | + | 0.486091i | ||||
\(818\) | 0.522311 | + | 0.305283i | 0.0182622 | + | 0.0106740i | ||||
\(819\) | −28.2580 | + | 12.6824i | −0.987414 | + | 0.443159i | ||||
\(820\) | 45.5442 | + | 12.7259i | 1.59047 | + | 0.444409i | ||||
\(821\) | −18.1878 | − | 4.87342i | −0.634760 | − | 0.170083i | −0.0729313 | − | 0.997337i | \(-0.523235\pi\) |
−0.561829 | + | 0.827253i | \(0.689902\pi\) | |||||||
\(822\) | −19.4144 | + | 6.79113i | −0.677154 | + | 0.236868i | ||||
\(823\) | −5.61636 | + | 9.72781i | −0.195774 | + | 0.339090i | −0.947154 | − | 0.320779i | \(-0.896055\pi\) |
0.751380 | + | 0.659870i | \(0.229389\pi\) | |||||||
\(824\) | 6.85356 | − | 11.4437i | 0.238755 | − | 0.398661i | ||||
\(825\) | 10.3323 | − | 0.828682i | 0.359726 | − | 0.0288510i | ||||
\(826\) | 17.4807 | + | 17.6682i | 0.608231 | + | 0.614756i | ||||
\(827\) | 3.22006 | + | 3.22006i | 0.111972 | + | 0.111972i | 0.760873 | − | 0.648901i | \(-0.224771\pi\) |
−0.648901 | + | 0.760873i | \(0.724771\pi\) | |||||||
\(828\) | 3.59144 | + | 4.50544i | 0.124811 | + | 0.156575i | ||||
\(829\) | 15.2226 | − | 15.2226i | 0.528704 | − | 0.528704i | −0.391482 | − | 0.920186i | \(-0.628037\pi\) |
0.920186 | + | 0.391482i | \(0.128037\pi\) | |||||||
\(830\) | 0.331454 | − | 62.1243i | 0.0115050 | − | 2.15637i | ||||
\(831\) | 20.2188 | + | 9.60688i | 0.701383 | + | 0.333259i | ||||
\(832\) | 9.16984 | + | 39.2008i | 0.317907 | + | 1.35904i | ||||
\(833\) | 7.03244 | + | 4.06018i | 0.243660 | + | 0.140677i | ||||
\(834\) | −24.7342 | + | 1.85099i | −0.856475 | + | 0.0640947i | ||||
\(835\) | 4.08334 | − | 15.2392i | 0.141310 | − | 0.527376i | ||||
\(836\) | 13.7890 | − | 7.76609i | 0.476902 | − | 0.268596i | ||||
\(837\) | 42.1073 | − | 23.1070i | 1.45544 | − | 0.798694i | ||||
\(838\) | 12.2740 | + | 46.8045i | 0.423997 | + | 1.61683i | ||||
\(839\) | 27.5530 | − | 15.9078i | 0.951236 | − | 0.549197i | 0.0577716 | − | 0.998330i | \(-0.481600\pi\) |
0.893465 | + | 0.449133i | \(0.148267\pi\) | |||||||
\(840\) | −16.2062 | − | 24.3292i | −0.559166 | − | 0.839436i | ||||
\(841\) | −3.55870 | − | 2.05462i | −0.122714 | − | 0.0708489i | ||||
\(842\) | 6.00548 | − | 21.9438i | 0.206963 | − | 0.756233i | ||||
\(843\) | −10.5178 | + | 3.74221i | −0.362252 | + | 0.128888i | ||||
\(844\) | −46.0710 | + | 11.8193i | −1.58583 | + | 0.406836i | ||||
\(845\) | −25.3475 | − | 25.3475i | −0.871980 | − | 0.871980i | ||||
\(846\) | 2.10158 | + | 13.4739i | 0.0722538 | + | 0.463242i | ||||
\(847\) | − | 16.4276i | − | 0.564459i | ||||||
\(848\) | 6.76918 | − | 6.48626i | 0.232455 | − | 0.222739i | ||||
\(849\) | −30.1296 | + | 2.41648i | −1.03405 | + | 0.0829333i | ||||
\(850\) | 7.05129 | + | 12.3651i | 0.241857 | + | 0.424119i | ||||
\(851\) | −2.87752 | − | 10.7390i | −0.0986401 | − | 0.368130i | ||||
\(852\) | −8.18852 | − | 1.59553i | −0.280534 | − | 0.0546620i | ||||
\(853\) | −11.7079 | + | 43.6946i | −0.400872 | + | 1.49608i | 0.410671 | + | 0.911784i | \(0.365295\pi\) |
−0.811543 | + | 0.584292i | \(0.801372\pi\) | |||||||
\(854\) | 0.809529 | + | 3.08699i | 0.0277015 | + | 0.105635i | ||||
\(855\) | −30.9404 | + | 25.2083i | −1.05814 | + | 0.862105i | ||||
\(856\) | 23.0417 | + | 23.7914i | 0.787550 | + | 0.813173i | ||||
\(857\) | 15.6306 | + | 27.0731i | 0.533933 | + | 0.924799i | 0.999214 | + | 0.0396358i | \(0.0126198\pi\) |
−0.465281 | + | 0.885163i | \(0.654047\pi\) | |||||||
\(858\) | −3.96675 | + | 20.9529i | −0.135423 | + | 0.715320i | ||||
\(859\) | −2.57646 | − | 9.61547i | −0.0879076 | − | 0.328076i | 0.907941 | − | 0.419097i | \(-0.137653\pi\) |
−0.995849 | + | 0.0910217i | \(0.970987\pi\) | |||||||
\(860\) | 0.217714 | − | 20.4025i | 0.00742400 | − | 0.695719i | ||||
\(861\) | 5.22203 | − | 28.4120i | 0.177966 | − | 0.968279i | ||||
\(862\) | −9.46248 | − | 0.0504855i | −0.322293 | − | 0.00171954i | ||||
\(863\) | 41.5499 | 1.41438 | 0.707188 | − | 0.707025i | \(-0.249963\pi\) | ||||
0.707188 | + | 0.707025i | \(0.249963\pi\) | |||||||
\(864\) | −15.9109 | + | 24.7153i | −0.541298 | + | 0.840831i | ||||
\(865\) | 46.4044 | 1.57780 | ||||||||
\(866\) | 23.6672 | + | 0.126272i | 0.804243 | + | 0.00429091i | ||||
\(867\) | −2.67207 | + | 14.5382i | −0.0907484 | + | 0.493744i | ||||
\(868\) | 0.404709 | − | 37.9261i | 0.0137367 | − | 1.28730i | ||||
\(869\) | 0.599635 | + | 2.23787i | 0.0203412 | + | 0.0759145i | ||||
\(870\) | 7.62539 | − | 40.2783i | 0.258525 | − | 1.36556i | ||||
\(871\) | −24.3997 | − | 42.2616i | −0.826753 | − | 1.43198i | ||||
\(872\) | 11.8979 | − | 11.5230i | 0.402913 | − | 0.390217i | ||||
\(873\) | 6.20494 | + | 38.4340i | 0.210005 | + | 1.30079i | ||||
\(874\) | −1.57565 | − | 6.00844i | −0.0532971 | − | 0.203239i | ||||
\(875\) | 2.37944 | − | 8.88020i | 0.0804398 | − | 0.300206i | ||||
\(876\) | −1.06403 | − | 0.207325i | −0.0359501 | − | 0.00700488i | ||||
\(877\) | 0.972912 | + | 3.63096i | 0.0328529 | + | 0.122609i | 0.980405 | − | 0.196993i | \(-0.0631176\pi\) |
−0.947552 | + | 0.319602i | \(0.896451\pi\) | |||||||
\(878\) | −8.01187 | − | 14.0495i | −0.270388 | − | 0.474149i | ||||
\(879\) | 11.6822 | − | 0.936941i | 0.394029 | − | 0.0316022i | ||||
\(880\) | −20.1219 | − | 0.429490i | −0.678310 | − | 0.0144781i | ||||
\(881\) | 1.07656i | 0.0362701i | 0.999836 | + | 0.0181350i | \(0.00577288\pi\) | ||||
−0.999836 | + | 0.0181350i | \(0.994227\pi\) | |||||||
\(882\) | 9.21948 | − | 7.42995i | 0.310436 | − | 0.250179i | ||||
\(883\) | −11.9386 | − | 11.9386i | −0.401765 | − | 0.401765i | 0.477090 | − | 0.878855i | \(-0.341692\pi\) |
−0.878855 | + | 0.477090i | \(0.841692\pi\) | |||||||
\(884\) | −28.3658 | + | 7.27711i | −0.954047 | + | 0.244756i | ||||
\(885\) | −40.6572 | + | 14.4657i | −1.36668 | + | 0.486261i | ||||
\(886\) | −12.6294 | + | 46.1472i | −0.424292 | + | 1.55035i | ||||
\(887\) | −29.4527 | − | 17.0045i | −0.988925 | − | 0.570956i | −0.0839719 | − | 0.996468i | \(-0.526761\pi\) |
−0.904953 | + | 0.425512i | \(0.860094\pi\) | |||||||
\(888\) | 47.2047 | − | 31.4440i | 1.58409 | − | 1.05519i | ||||
\(889\) | −17.3318 | + | 10.0065i | −0.581291 | + | 0.335609i | ||||
\(890\) | 8.20744 | + | 31.2976i | 0.275114 | + | 1.04910i | ||||
\(891\) | −13.0071 | + | 8.55770i | −0.435755 | + | 0.286694i | ||||
\(892\) | 20.4878 | − | 11.5389i | 0.685983 | − | 0.386352i | ||||
\(893\) | 3.80505 | − | 14.2006i | 0.127331 | − | 0.475206i | ||||
\(894\) | 33.5808 | − | 2.51303i | 1.12311 | − | 0.0840484i | ||||
\(895\) | −35.2383 | − | 20.3449i | −1.17789 | − | 0.680054i | ||||
\(896\) | 10.8470 | + | 20.5209i | 0.362373 | + | 0.685556i | ||||
\(897\) | 7.56018 | + | 3.59219i | 0.252427 | + | 0.119940i | ||||
\(898\) | −0.0812881 | + | 15.2358i | −0.00271262 | + | 0.508425i | ||||
\(899\) | 37.6095 | − | 37.6095i | 1.25435 | − | 1.25435i | ||||
\(900\) | 20.5247 | − | 3.08924i | 0.684155 | − | 0.102975i | ||||
\(901\) | 4.82210 | + | 4.82210i | 0.160647 | + | 0.160647i | ||||
\(902\) | −13.9885 | − | 14.1386i | −0.465767 | − | 0.470764i | ||||
\(903\) | −12.4244 | + | 0.996468i | −0.413457 | + | 0.0331604i | ||||
\(904\) | 37.4064 | + | 22.4024i | 1.24412 | + | 0.745093i | ||||
\(905\) | 25.6625 | − | 44.4488i | 0.853051 | − | 1.47753i | ||||
\(906\) | −8.23075 | + | 2.87910i | −0.273448 | + | 0.0956518i | ||||
\(907\) | 3.04327 | + | 0.815443i | 0.101050 | + | 0.0270763i | 0.308990 | − | 0.951065i | \(-0.400009\pi\) |
−0.207940 | + | 0.978142i | \(0.566676\pi\) | |||||||
\(908\) | 3.69116 | + | 1.03138i | 0.122495 | + | 0.0342275i | ||||
\(909\) | 17.2272 | + | 12.4379i | 0.571389 | + | 0.412540i | ||||
\(910\) | −36.6637 | − | 21.4294i | −1.21539 | − | 0.710378i | ||||
\(911\) | −1.83892 | − | 3.18510i | −0.0609261 | − | 0.105527i | 0.833954 | − | 0.551835i | \(-0.186072\pi\) |
−0.894880 | + | 0.446308i | \(0.852739\pi\) | |||||||
\(912\) | 26.4668 | − | 17.4270i | 0.876404 | − | 0.577064i | ||||
\(913\) | −13.0646 | + | 22.6286i | −0.432376 | + | 0.748897i | ||||
\(914\) | 9.56174 | − | 5.45266i | 0.316274 | − | 0.180358i | ||||
\(915\) | −5.44980 | − | 1.00166i | −0.180165 | − | 0.0331137i | ||||
\(916\) | −5.87355 | + | 1.50683i | −0.194068 | + | 0.0497870i | ||||
\(917\) | 16.7110 | − | 16.7110i | 0.551845 | − | 0.551845i | ||||
\(918\) | −18.2208 | − | 11.1873i | −0.601375 | − | 0.369235i | ||||
\(919\) | 30.6795 | 1.01202 | 0.506012 | − | 0.862526i | \(-0.331119\pi\) | ||||
0.506012 | + | 0.862526i | \(0.331119\pi\) | |||||||
\(920\) | −2.16647 | + | 7.59687i | −0.0714265 | + | 0.250461i | ||||
\(921\) | −9.74118 | + | 6.71634i | −0.320983 | + | 0.221311i | ||||
\(922\) | 9.35803 | − | 34.1939i | 0.308190 | − | 1.12611i | ||||
\(923\) | −11.7064 | + | 3.13673i | −0.385322 | + | 0.103247i | ||||
\(924\) | 0.852106 | + | 12.2654i | 0.0280322 | + | 0.403502i | ||||
\(925\) | −38.6860 | − | 10.3659i | −1.27199 | − | 0.340828i | ||||
\(926\) | −1.56832 | − | 0.916658i | −0.0515380 | − | 0.0301233i | ||||
\(927\) | 10.9686 | − | 8.93651i | 0.360256 | − | 0.293513i | ||||
\(928\) | −9.26016 | + | 31.2049i | −0.303980 | + | 1.02435i | ||||
\(929\) | −27.1179 | + | 15.6565i | −0.889711 | + | 0.513675i | −0.873848 | − | 0.486199i | \(-0.838383\pi\) |
−0.0158629 | + | 0.999874i | \(0.505050\pi\) | |||||||
\(930\) | 59.3293 | + | 28.5790i | 1.94548 | + | 0.937144i | ||||
\(931\) | −12.3303 | + | 3.30390i | −0.404109 | + | 0.108281i | ||||
\(932\) | 44.6231 | + | 0.476173i | 1.46168 | + | 0.0155976i | ||||
\(933\) | 0.0520092 | − | 0.0610792i | 0.00170270 | − | 0.00199964i | ||||
\(934\) | 29.9762 | − | 29.6580i | 0.980851 | − | 0.970440i | ||||
\(935\) | − | 14.6400i | − | 0.478780i | ||||||
\(936\) | −5.01613 | + | 42.4055i | −0.163957 | + | 1.38607i | ||||
\(937\) | − | 27.3142i | − | 0.892317i | −0.894954 | − | 0.446158i | \(-0.852792\pi\) | ||
0.894954 | − | 0.446158i | \(-0.147208\pi\) | |||||||
\(938\) | −19.7882 | − | 20.0005i | −0.646109 | − | 0.653040i | ||||
\(939\) | 0.367747 | + | 1.03358i | 0.0120010 | + | 0.0337297i | ||||
\(940\) | −13.3611 | + | 13.0790i | −0.435792 | + | 0.426590i | ||||
\(941\) | −55.1903 | + | 14.7882i | −1.79915 | + | 0.482081i | −0.993845 | − | 0.110777i | \(-0.964666\pi\) |
−0.805306 | + | 0.592859i | \(0.797999\pi\) | |||||||
\(942\) | −14.2391 | + | 1.06559i | −0.463933 | + | 0.0347186i | ||||
\(943\) | −6.76071 | + | 3.90330i | −0.220159 | + | 0.127109i | ||||
\(944\) | 33.2793 | − | 8.16016i | 1.08315 | − | 0.265591i | ||||
\(945\) | −7.37303 | − | 30.1165i | −0.239845 | − | 0.979691i | ||||
\(946\) | −4.33037 | + | 7.40886i | −0.140793 | + | 0.240883i | ||||
\(947\) | −48.1796 | − | 12.9097i | −1.56563 | − | 0.419508i | −0.631187 | − | 0.775631i | \(-0.717432\pi\) |
−0.934439 | + | 0.356123i | \(0.884098\pi\) | |||||||
\(948\) | 1.50838 | + | 4.38710i | 0.0489900 | + | 0.142487i | ||||
\(949\) | −1.52115 | + | 0.407590i | −0.0493785 | + | 0.0132309i | ||||
\(950\) | −21.5828 | − | 5.90669i | −0.700239 | − | 0.191638i | ||||
\(951\) | 17.7475 | + | 8.43267i | 0.575503 | + | 0.273448i | ||||
\(952\) | −14.7551 | + | 8.20685i | −0.478217 | + | 0.265986i | ||||
\(953\) | −7.53287 | −0.244013 | −0.122007 | − | 0.992529i | \(-0.538933\pi\) | ||||
−0.122007 | + | 0.992529i | \(0.538933\pi\) | |||||||
\(954\) | 9.09364 | − | 4.02315i | 0.294418 | − | 0.130254i | ||||
\(955\) | 11.0396 | − | 11.0396i | 0.357232 | − | 0.357232i | ||||
\(956\) | 4.49496 | − | 7.59712i | 0.145377 | − | 0.245708i | ||||
\(957\) | −11.1779 | + | 13.1273i | −0.361331 | + | 0.424344i | ||||
\(958\) | −28.7793 | − | 50.4671i | −0.929817 | − | 1.63052i | ||||
\(959\) | −8.61349 | + | 14.9190i | −0.278144 | + | 0.481760i | ||||
\(960\) | −40.2547 | + | 1.93451i | −1.29922 | + | 0.0624360i | ||||
\(961\) | 27.2214 | + | 47.1489i | 0.878111 | + | 1.52093i | ||||
\(962\) | 41.5785 | − | 71.1368i | 1.34054 | − | 2.29354i | ||||
\(963\) | 14.3841 | + | 32.0495i | 0.463520 | + | 1.03278i | ||||
\(964\) | −13.5881 | − | 24.1262i | −0.437644 | − | 0.777054i | ||||
\(965\) | −15.0537 | − | 4.03362i | −0.484595 | − | 0.129847i | ||||
\(966\) | 4.74160 | + | 0.897669i | 0.152559 | + | 0.0288820i | ||||
\(967\) | 9.30387 | − | 16.1148i | 0.299192 | − | 0.518216i | −0.676759 | − | 0.736205i | \(-0.736616\pi\) |
0.975951 | + | 0.217988i | \(0.0699495\pi\) | |||||||
\(968\) | −19.4297 | − | 11.6363i | −0.624495 | − | 0.374005i | ||||
\(969\) | 13.0843 | + | 18.9771i | 0.420328 | + | 0.609631i | ||||
\(970\) | −37.9449 | + | 37.5422i | −1.21834 | + | 1.20541i | ||||
\(971\) | −11.9201 | − | 11.9201i | −0.382535 | − | 0.382535i | 0.489480 | − | 0.872015i | \(-0.337187\pi\) |
−0.872015 | + | 0.489480i | \(0.837187\pi\) | |||||||
\(972\) | −24.7952 | + | 18.8997i | −0.795305 | + | 0.606210i | ||||
\(973\) | −14.6898 | + | 14.6898i | −0.470933 | + | 0.470933i | ||||
\(974\) | 5.68982 | + | 0.0303571i | 0.182314 | + | 0.000972705i | ||||
\(975\) | 24.8240 | − | 17.1156i | 0.795003 | − | 0.548138i | ||||
\(976\) | 4.22456 | + | 1.22917i | 0.135225 | + | 0.0393447i | ||||
\(977\) | 50.0976 | + | 28.9239i | 1.60276 | + | 0.925356i | 0.990931 | + | 0.134369i | \(0.0429008\pi\) |
0.611833 | + | 0.790987i | \(0.290433\pi\) | |||||||
\(978\) | 33.9842 | − | 23.1649i | 1.08670 | − | 0.740732i | ||||
\(979\) | 3.52215 | − | 13.1448i | 0.112568 | − | 0.420111i | ||||
\(980\) | 15.6356 | + | 4.36889i | 0.499462 | + | 0.139559i | ||||
\(981\) | 16.0277 | − | 7.19335i | 0.511724 | − | 0.229666i | ||||
\(982\) | −41.0200 | + | 10.7570i | −1.30900 | + | 0.343271i | ||||
\(983\) | 4.97282 | − | 2.87106i | 0.158608 | − | 0.0915725i | −0.418595 | − | 0.908173i | \(-0.637477\pi\) |
0.577203 | + | 0.816600i | \(0.304144\pi\) | |||||||
\(984\) | −29.9053 | − | 26.3017i | −0.953347 | − | 0.838468i | ||||
\(985\) | 30.8820 | + | 17.8297i | 0.983981 | + | 0.568102i | ||||
\(986\) | −22.8370 | − | 6.24993i | −0.727278 | − | 0.199038i | ||||
\(987\) | 8.69621 | + | 7.40486i | 0.276803 | + | 0.235699i | ||||
\(988\) | 23.4418 | − | 39.6199i | 0.745782 | − | 1.26048i | ||||
\(989\) | 2.38175 | + | 2.38175i | 0.0757353 | + | 0.0757353i | ||||
\(990\) | −19.9115 | − | 7.69708i | −0.632828 | − | 0.244629i | ||||
\(991\) | − | 5.44789i | − | 0.173058i | −0.996249 | − | 0.0865289i | \(-0.972422\pi\) | ||
0.996249 | − | 0.0865289i | \(-0.0275775\pi\) | |||||||
\(992\) | −44.5704 | − | 27.3432i | −1.41511 | − | 0.868148i | ||||
\(993\) | 13.9126 | − | 29.2808i | 0.441504 | − | 0.929197i | ||||
\(994\) | −6.06984 | + | 3.46138i | −0.192524 | + | 0.109788i | ||||
\(995\) | 7.78667 | + | 29.0603i | 0.246854 | + | 0.921272i | ||||
\(996\) | −22.9573 | + | 47.0155i | −0.727430 | + | 1.48974i | ||||
\(997\) | −0.350724 | + | 1.30892i | −0.0111075 | + | 0.0414539i | −0.971257 | − | 0.238032i | \(-0.923498\pi\) |
0.960150 | + | 0.279486i | \(0.0901642\pi\) | |||||||
\(998\) | −43.9255 | + | 11.5190i | −1.39044 | + | 0.364627i | ||||
\(999\) | 58.4337 | − | 14.3055i | 1.84876 | − | 0.452607i |
(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 | 144.2.u.a.59.1 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.395.22 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.527.12 | 88 | |||
9.2 | odd | 6 | inner | 144.2.u.a.11.8 | ✓ | 88 | |
9.7 | even | 3 | 432.2.v.a.251.15 | 88 | |||
12.11 | even | 2 | 1728.2.z.a.719.3 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.131.8 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.239.1 | 88 | |||
36.7 | odd | 6 | 1728.2.z.a.143.3 | 88 | |||
36.11 | even | 6 | 576.2.y.a.335.1 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1583.3 | 88 | |||
48.35 | even | 4 | 432.2.v.a.179.15 | 88 | |||
144.29 | odd | 12 | 576.2.y.a.47.12 | 88 | |||
144.61 | even | 12 | 1728.2.z.a.1007.3 | 88 | |||
144.83 | even | 12 | inner | 144.2.u.a.83.1 | yes | 88 | |
144.115 | odd | 12 | 432.2.v.a.35.22 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.8 | ✓ | 88 | 9.2 | odd | 6 | inner | |
144.2.u.a.59.1 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.83.1 | yes | 88 | 144.83 | even | 12 | inner | |
144.2.u.a.131.8 | yes | 88 | 16.3 | odd | 4 | inner | |
432.2.v.a.35.22 | 88 | 144.115 | odd | 12 | |||
432.2.v.a.179.15 | 88 | 48.35 | even | 4 | |||
432.2.v.a.251.15 | 88 | 9.7 | even | 3 | |||
432.2.v.a.395.22 | 88 | 3.2 | odd | 2 | |||
576.2.y.a.47.12 | 88 | 144.29 | odd | 12 | |||
576.2.y.a.239.1 | 88 | 16.13 | even | 4 | |||
576.2.y.a.335.1 | 88 | 36.11 | even | 6 | |||
576.2.y.a.527.12 | 88 | 4.3 | odd | 2 | |||
1728.2.z.a.143.3 | 88 | 36.7 | odd | 6 | |||
1728.2.z.a.719.3 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1007.3 | 88 | 144.61 | even | 12 | |||
1728.2.z.a.1583.3 | 88 | 48.29 | odd | 4 |