Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(19,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.j (of order \(18\), degree \(6\), not 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: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 19.3 | ||
Character | \(\chi\) | \(=\) | 324.19 |
Dual form | 324.3.j.a.307.3 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97794 | + | 0.296237i | −0.988970 | + | 0.148119i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.82449 | − | 1.17188i | 0.956122 | − | 0.292970i | ||||
\(5\) | 0.00321173 | + | 0.0182146i | 0.000642345 | + | 0.00364292i | 0.985127 | − | 0.171826i | \(-0.0549668\pi\) |
−0.984485 | + | 0.175469i | \(0.943856\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.446686 | − | 0.532339i | 0.0638123 | − | 0.0760485i | −0.733194 | − | 0.680019i | \(-0.761971\pi\) |
0.797006 | + | 0.603971i | \(0.206416\pi\) | |||||||
\(8\) | −7.21745 | + | 3.45086i | −0.902181 | + | 0.431358i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0117484 | − | 0.0350759i | −0.00117484 | − | 0.00350759i | ||||
\(11\) | 5.71885 | + | 1.00839i | 0.519896 | + | 0.0916716i | 0.427437 | − | 0.904045i | \(-0.359416\pi\) |
0.0924582 | + | 0.995717i | \(0.470528\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.99816 | + | 2.54712i | 0.538320 | + | 0.195933i | 0.596850 | − | 0.802353i | \(-0.296419\pi\) |
−0.0585294 | + | 0.998286i | \(0.518641\pi\) | |||||||
\(14\) | −0.725818 | + | 1.18526i | −0.0518442 | + | 0.0846614i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 13.2534 | − | 8.96367i | 0.828338 | − | 0.560229i | ||||
\(17\) | 4.38388 | + | 7.59310i | 0.257875 | + | 0.446653i | 0.965672 | − | 0.259763i | \(-0.0836444\pi\) |
−0.707797 | + | 0.706416i | \(0.750311\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −17.1217 | − | 9.88523i | −0.901143 | − | 0.520275i | −0.0235724 | − | 0.999722i | \(-0.507504\pi\) |
−0.877571 | + | 0.479447i | \(0.840837\pi\) | |||||||
\(20\) | 0.0336285 | + | 0.0658977i | 0.00168143 | + | 0.00329489i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −11.6103 | − | 0.300393i | −0.527739 | − | 0.0136542i | ||||
\(23\) | 7.15027 | + | 8.52136i | 0.310881 | + | 0.370494i | 0.898749 | − | 0.438463i | \(-0.144477\pi\) |
−0.587868 | + | 0.808957i | \(0.700033\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 23.4920 | − | 8.55039i | 0.939680 | − | 0.342015i | ||||
\(26\) | −14.5965 | − | 2.96494i | −0.561404 | − | 0.114036i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.08451 | − | 2.55939i | 0.0387324 | − | 0.0914067i | ||||
\(29\) | 21.1363 | − | 7.69297i | 0.728837 | − | 0.265275i | 0.0491643 | − | 0.998791i | \(-0.484344\pi\) |
0.679672 | + | 0.733516i | \(0.262122\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −20.2667 | − | 24.1529i | −0.653765 | − | 0.779126i | 0.332712 | − | 0.943029i | \(-0.392036\pi\) |
−0.986477 | + | 0.163902i | \(0.947592\pi\) | |||||||
\(32\) | −23.5590 | + | 21.6557i | −0.736220 | + | 0.676742i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −10.9204 | − | 13.7200i | −0.321188 | − | 0.403530i | ||||
\(35\) | 0.0111310 | + | 0.00642647i | 0.000318028 | + | 0.000183614i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 26.7594 | + | 46.3486i | 0.723227 | + | 1.25267i | 0.959700 | + | 0.281028i | \(0.0906753\pi\) |
−0.236473 | + | 0.971638i | \(0.575991\pi\) | |||||||
\(38\) | 36.7941 | + | 14.4803i | 0.968266 | + | 0.381060i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.0860365 | − | 0.120380i | −0.00215091 | − | 0.00300949i | ||||
\(41\) | 52.8679 | + | 19.2423i | 1.28946 | + | 0.469325i | 0.893550 | − | 0.448964i | \(-0.148207\pi\) |
0.395910 | + | 0.918289i | \(0.370429\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 70.5871 | + | 12.4464i | 1.64156 | + | 0.289452i | 0.916740 | − | 0.399485i | \(-0.130811\pi\) |
0.724822 | + | 0.688936i | \(0.241922\pi\) | |||||||
\(44\) | 23.0534 | − | 2.84523i | 0.523941 | − | 0.0646644i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −16.6671 | − | 14.7366i | −0.362329 | − | 0.320360i | ||||
\(47\) | 43.9159 | − | 52.3369i | 0.934381 | − | 1.11355i | −0.0589506 | − | 0.998261i | \(-0.518775\pi\) |
0.993332 | − | 0.115291i | \(-0.0367801\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 8.42490 | + | 47.7800i | 0.171937 | + | 0.975102i | ||||
\(50\) | −43.9328 | + | 23.8713i | −0.878656 | + | 0.477427i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 29.7493 | + | 1.54044i | 0.572102 | + | 0.0296238i | ||||
\(53\) | 41.1446 | 0.776313 | 0.388156 | − | 0.921594i | \(-0.373112\pi\) | ||||
0.388156 | + | 0.921594i | \(0.373112\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.107405i | 0.00195282i | ||||||||
\(56\) | −1.38690 | + | 5.38358i | −0.0247661 | + | 0.0961354i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −39.5273 | + | 21.4776i | −0.681505 | + | 0.370303i | ||||
\(59\) | −50.0926 | + | 8.83268i | −0.849027 | + | 0.149706i | −0.581200 | − | 0.813761i | \(-0.697417\pi\) |
−0.267827 | + | 0.963467i | \(0.586306\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 28.9297 | + | 24.2749i | 0.474258 | + | 0.397949i | 0.848345 | − | 0.529444i | \(-0.177599\pi\) |
−0.374087 | + | 0.927394i | \(0.622044\pi\) | |||||||
\(62\) | 47.2413 | + | 41.7693i | 0.761957 | + | 0.673698i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 40.1831 | − | 49.8128i | 0.627861 | − | 0.778325i | ||||
\(65\) | −0.0239186 | + | 0.135649i | −0.000367979 | + | 0.00208691i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 14.8206 | − | 40.7193i | 0.221203 | − | 0.607751i | −0.778601 | − | 0.627519i | \(-0.784070\pi\) |
0.999805 | + | 0.0197678i | \(0.00629269\pi\) | |||||||
\(68\) | 25.6643 | + | 23.9023i | 0.377416 | + | 0.351505i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0239202 | − | 0.00941376i | −0.000341717 | − | 0.000134482i | ||||
\(71\) | −49.5059 | + | 28.5822i | −0.697266 | + | 0.402567i | −0.806328 | − | 0.591468i | \(-0.798549\pi\) |
0.109062 | + | 0.994035i | \(0.465215\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 14.6051 | − | 25.2968i | 0.200070 | − | 0.346532i | −0.748481 | − | 0.663157i | \(-0.769216\pi\) |
0.948551 | + | 0.316625i | \(0.102550\pi\) | |||||||
\(74\) | −66.6587 | − | 83.7477i | −0.900793 | − | 1.13173i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −77.0661 | − | 17.7414i | −1.01403 | − | 0.233439i | ||||
\(77\) | 3.09133 | − | 2.59394i | 0.0401472 | − | 0.0336875i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 46.0077 | + | 126.405i | 0.582376 | + | 1.60007i | 0.784107 | + | 0.620625i | \(0.213121\pi\) |
−0.201731 | + | 0.979441i | \(0.564657\pi\) | |||||||
\(80\) | 0.205836 | + | 0.212617i | 0.00257295 | + | 0.00265771i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −110.270 | − | 22.3987i | −1.34475 | − | 0.273155i | ||||
\(83\) | −49.0991 | − | 134.899i | −0.591555 | − | 1.62528i | −0.767619 | − | 0.640906i | \(-0.778559\pi\) |
0.176064 | − | 0.984379i | \(-0.443663\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.124225 | + | 0.104237i | −0.00146148 | + | 0.00122632i | ||||
\(86\) | −143.304 | − | 3.70771i | −1.66633 | − | 0.0431129i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −44.7553 | + | 12.4570i | −0.508583 | + | 0.141557i | ||||
\(89\) | 29.5539 | − | 51.1889i | 0.332067 | − | 0.575156i | −0.650850 | − | 0.759206i | \(-0.725587\pi\) |
0.982917 | + | 0.184050i | \(0.0589208\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.48191 | − | 2.58763i | 0.0492518 | − | 0.0284355i | ||||
\(92\) | 37.3321 | + | 24.2106i | 0.405784 | + | 0.263159i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −71.3588 | + | 116.529i | −0.759137 | + | 1.23967i | ||||
\(95\) | 0.125065 | − | 0.343614i | 0.00131648 | − | 0.00361699i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.63733 | − | 37.6422i | 0.0684261 | − | 0.388064i | −0.931291 | − | 0.364276i | \(-0.881316\pi\) |
0.999717 | − | 0.0237874i | \(-0.00757248\pi\) | |||||||
\(98\) | −30.8182 | − | 92.0102i | −0.314471 | − | 0.938879i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 79.8248 | − | 60.2306i | 0.798248 | − | 0.602306i | ||||
\(101\) | −103.239 | − | 86.6279i | −1.02217 | − | 0.857702i | −0.0322707 | − | 0.999479i | \(-0.510274\pi\) |
−0.989899 | + | 0.141777i | \(0.954718\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −48.5344 | + | 8.55793i | −0.471208 | + | 0.0830867i | −0.404210 | − | 0.914666i | \(-0.632453\pi\) |
−0.0669984 | + | 0.997753i | \(0.521342\pi\) | |||||||
\(104\) | −59.2986 | + | 5.76595i | −0.570179 | + | 0.0554419i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −81.3815 | + | 12.1886i | −0.767750 | + | 0.114986i | ||||
\(107\) | 171.403i | 1.60189i | 0.598736 | + | 0.800946i | \(0.295670\pi\) | ||||
−0.598736 | + | 0.800946i | \(0.704330\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −117.306 | −1.07620 | −0.538100 | − | 0.842881i | \(-0.680858\pi\) | ||||
−0.538100 | + | 0.842881i | \(0.680858\pi\) | |||||||
\(110\) | −0.0318174 | − | 0.212441i | −0.000289249 | − | 0.00193128i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.14839 | − | 11.0593i | 0.0102535 | − | 0.0987433i | ||||
\(113\) | −5.87247 | − | 33.3044i | −0.0519687 | − | 0.294729i | 0.947735 | − | 0.319058i | \(-0.103366\pi\) |
−0.999704 | + | 0.0243284i | \(0.992255\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.132248 | + | 0.157608i | −0.00114999 | + | 0.00137050i | ||||
\(116\) | 71.8201 | − | 54.1908i | 0.619139 | − | 0.467162i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 96.4636 | − | 32.3098i | 0.817488 | − | 0.273812i | ||||
\(119\) | 6.00032 | + | 1.05802i | 0.0504229 | + | 0.00889091i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −82.0144 | − | 29.8508i | −0.677805 | − | 0.246701i | ||||
\(122\) | −64.4123 | − | 39.4442i | −0.527970 | − | 0.323313i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −105.814 | − | 68.6224i | −0.853339 | − | 0.553406i | ||||
\(125\) | 0.462387 | + | 0.800877i | 0.00369909 | + | 0.00640702i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −168.353 | − | 97.1989i | −1.32562 | − | 0.765346i | −0.340999 | − | 0.940064i | \(-0.610765\pi\) |
−0.984618 | + | 0.174718i | \(0.944099\pi\) | |||||||
\(128\) | −64.7234 | + | 110.430i | −0.505651 | + | 0.862738i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.00712522 | − | 0.275392i | 5.48094e−5 | − | 0.00211840i | ||||
\(131\) | 57.8214 | + | 68.9089i | 0.441385 | + | 0.526022i | 0.940171 | − | 0.340703i | \(-0.110665\pi\) |
−0.498786 | + | 0.866725i | \(0.666221\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.9103 | + | 4.69897i | −0.0970701 | + | 0.0353306i | ||||
\(134\) | −17.2517 | + | 84.9308i | −0.128744 | + | 0.633812i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −57.8431 | − | 39.6746i | −0.425317 | − | 0.291725i | ||||
\(137\) | 56.4129 | − | 20.5326i | 0.411773 | − | 0.149873i | −0.127823 | − | 0.991797i | \(-0.540799\pi\) |
0.539596 | + | 0.841924i | \(0.318577\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −57.0172 | − | 67.9505i | −0.410196 | − | 0.488852i | 0.520905 | − | 0.853615i | \(-0.325595\pi\) |
−0.931101 | + | 0.364762i | \(0.881150\pi\) | |||||||
\(140\) | 0.0501013 | + | 0.0115338i | 0.000357867 | + | 8.23843e-5i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 89.4525 | − | 71.1994i | 0.629947 | − | 0.501404i | ||||
\(143\) | 37.4530 | + | 21.6235i | 0.261909 | + | 0.151213i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.208008 | + | 0.360281i | 0.00143454 | + | 0.00248470i | ||||
\(146\) | −21.3942 | + | 54.3621i | −0.146535 | + | 0.372343i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 156.656 | + | 145.901i | 1.05849 | + | 0.985818i | ||||
\(149\) | −132.507 | − | 48.2287i | −0.889310 | − | 0.323682i | −0.143349 | − | 0.989672i | \(-0.545787\pi\) |
−0.745961 | + | 0.665990i | \(0.768009\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 94.7076 | + | 16.6995i | 0.627203 | + | 0.110593i | 0.478210 | − | 0.878246i | \(-0.341286\pi\) |
0.148993 | + | 0.988838i | \(0.452397\pi\) | |||||||
\(152\) | 157.688 | + | 12.2615i | 1.03742 | + | 0.0806676i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.34605 | + | 6.04642i | −0.0347146 | + | 0.0392625i | ||||
\(155\) | 0.374845 | − | 0.446722i | 0.00241835 | − | 0.00288208i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.7220 | + | 83.4925i | 0.0937706 | + | 0.531799i | 0.995117 | + | 0.0987008i | \(0.0314687\pi\) |
−0.901347 | + | 0.433099i | \(0.857420\pi\) | |||||||
\(158\) | −128.446 | − | 236.393i | −0.812952 | − | 1.49616i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.470116 | − | 0.359566i | −0.00293822 | − | 0.00224729i | ||||
\(161\) | 7.73018 | 0.0480135 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 61.7577i | 0.378882i | 0.981892 | + | 0.189441i | \(0.0606675\pi\) | ||||
−0.981892 | + | 0.189441i | \(0.939332\pi\) | |||||||
\(164\) | 224.742 | + | 11.6373i | 1.37038 | + | 0.0709592i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 137.077 | + | 252.276i | 0.825765 | + | 1.51974i | ||||
\(167\) | 295.731 | − | 52.1454i | 1.77085 | − | 0.312248i | 0.809404 | − | 0.587252i | \(-0.199790\pi\) |
0.961443 | + | 0.275004i | \(0.0886792\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −86.9751 | − | 72.9808i | −0.514645 | − | 0.431839i | ||||
\(170\) | 0.214831 | − | 0.242976i | 0.00126371 | − | 0.00142927i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 284.545 | − | 35.1184i | 1.65433 | − | 0.204177i | ||||
\(173\) | −53.1023 | + | 301.158i | −0.306950 | + | 1.74080i | 0.307234 | + | 0.951634i | \(0.400597\pi\) |
−0.614183 | + | 0.789163i | \(0.710514\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.94183 | − | 16.3250i | 0.0339533 | − | 0.0932860i | ||||
\(176\) | 84.8331 | − | 37.8973i | 0.482006 | − | 0.215326i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −43.2918 | + | 110.004i | −0.243212 | + | 0.617997i | ||||
\(179\) | −187.706 | + | 108.372i | −1.04864 | + | 0.605431i | −0.922267 | − | 0.386553i | \(-0.873666\pi\) |
−0.126369 | + | 0.991983i | \(0.540332\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 15.1790 | − | 26.2908i | 0.0838619 | − | 0.145253i | −0.821044 | − | 0.570865i | \(-0.806608\pi\) |
0.904906 | + | 0.425612i | \(0.139941\pi\) | |||||||
\(182\) | −8.09840 | + | 6.44589i | −0.0444967 | + | 0.0354170i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −81.0128 | − | 36.8279i | −0.440287 | − | 0.200152i | ||||
\(185\) | −0.758278 | + | 0.636271i | −0.00409880 | + | 0.00343930i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 17.4140 | + | 47.8444i | 0.0931227 | + | 0.255853i | ||||
\(188\) | 106.623 | − | 251.626i | 0.567145 | − | 1.33844i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.145580 | + | 0.716697i | −0.000766212 | + | 0.00377209i | ||||
\(191\) | −93.0062 | − | 255.533i | −0.486944 | − | 1.33787i | −0.903434 | − | 0.428727i | \(-0.858962\pi\) |
0.416491 | − | 0.909140i | \(-0.363260\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 203.137 | − | 170.452i | 1.05252 | − | 0.883172i | 0.0591665 | − | 0.998248i | \(-0.481156\pi\) |
0.993357 | + | 0.115076i | \(0.0367113\pi\) | |||||||
\(194\) | −1.97722 | + | 76.4202i | −0.0101919 | + | 0.393918i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 88.2133 | + | 172.861i | 0.450068 | + | 0.881944i | ||||
\(197\) | −84.4497 | + | 146.271i | −0.428678 | + | 0.742493i | −0.996756 | − | 0.0804822i | \(-0.974354\pi\) |
0.568078 | + | 0.822975i | \(0.307687\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −104.097 | + | 60.1006i | −0.523102 | + | 0.302013i | −0.738203 | − | 0.674579i | \(-0.764325\pi\) |
0.215101 | + | 0.976592i | \(0.430992\pi\) | |||||||
\(200\) | −140.046 | + | 142.780i | −0.700230 | + | 0.713898i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 229.863 | + | 140.761i | 1.13794 | + | 0.696839i | ||||
\(203\) | 5.34600 | − | 14.6880i | 0.0263350 | − | 0.0723547i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.180694 | + | 1.02477i | −0.000881435 | + | 0.00499887i | ||||
\(206\) | 93.4629 | − | 31.3048i | 0.453704 | − | 0.151965i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 115.581 | − | 28.9712i | 0.555678 | − | 0.139285i | ||||
\(209\) | −87.9484 | − | 73.7975i | −0.420806 | − | 0.353098i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 273.456 | − | 48.2177i | 1.29600 | − | 0.228520i | 0.517239 | − | 0.855841i | \(-0.326960\pi\) |
0.778761 | + | 0.627321i | \(0.215849\pi\) | |||||||
\(212\) | 157.357 | − | 48.2165i | 0.742250 | − | 0.227436i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −50.7758 | − | 339.024i | −0.237270 | − | 1.58422i | ||||
\(215\) | 1.32569i | 0.00616600i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −21.9104 | −0.100970 | ||||||||
\(218\) | 232.024 | − | 34.7504i | 1.06433 | − | 0.159405i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.125866 | + | 0.410770i | 0.000572118 | + | 0.00186714i | ||||
\(221\) | 11.3385 | + | 64.3040i | 0.0513056 | + | 0.290968i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −23.5366 | + | 28.0498i | −0.105545 | + | 0.125784i | −0.816231 | − | 0.577726i | \(-0.803940\pi\) |
0.710686 | + | 0.703510i | \(0.248385\pi\) | |||||||
\(224\) | 1.00471 | + | 22.2147i | 0.00448533 | + | 0.0991729i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 21.4814 | + | 64.1344i | 0.0950504 | + | 0.283781i | ||||
\(227\) | 33.4702 | + | 5.90171i | 0.147446 | + | 0.0259987i | 0.246884 | − | 0.969045i | \(-0.420593\pi\) |
−0.0994379 | + | 0.995044i | \(0.531704\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −285.636 | − | 103.963i | −1.24732 | − | 0.453986i | −0.367823 | − | 0.929896i | \(-0.619897\pi\) |
−0.879494 | + | 0.475909i | \(0.842119\pi\) | |||||||
\(230\) | 0.214890 | − | 0.350915i | 0.000934305 | − | 0.00152572i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −126.003 | + | 128.462i | −0.543114 | + | 0.553715i | ||||
\(233\) | 49.9878 | + | 86.5815i | 0.214540 | + | 0.371594i | 0.953130 | − | 0.302560i | \(-0.0978414\pi\) |
−0.738590 | + | 0.674155i | \(0.764508\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.09434 | + | 0.631819i | 0.00465678 | + | 0.00268859i | ||||
\(236\) | −181.228 | + | 92.4829i | −0.767914 | + | 0.391877i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −12.1817 | − | 0.315177i | −0.0511836 | − | 0.00132427i | ||||
\(239\) | 83.2205 | + | 99.1783i | 0.348203 | + | 0.414972i | 0.911511 | − | 0.411275i | \(-0.134916\pi\) |
−0.563309 | + | 0.826247i | \(0.690472\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 55.8840 | − | 20.3401i | 0.231884 | − | 0.0843987i | −0.223465 | − | 0.974712i | \(-0.571737\pi\) |
0.455349 | + | 0.890313i | \(0.349515\pi\) | |||||||
\(242\) | 171.062 | + | 34.7473i | 0.706869 | + | 0.143584i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 139.089 | + | 58.9370i | 0.570035 | + | 0.241545i | ||||
\(245\) | −0.843235 | + | 0.306912i | −0.00344178 | + | 0.00125270i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −94.6417 | − | 112.790i | −0.383165 | − | 0.456638i | ||||
\(248\) | 229.622 | + | 104.385i | 0.925896 | + | 0.420907i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.15182 | − | 1.44711i | −0.00460729 | − | 0.00578844i | ||||
\(251\) | −178.915 | − | 103.297i | −0.712810 | − | 0.411541i | 0.0992905 | − | 0.995058i | \(-0.468343\pi\) |
−0.812101 | + | 0.583517i | \(0.801676\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 32.2985 | + | 55.9427i | 0.127662 | + | 0.221117i | ||||
\(254\) | 361.787 | + | 142.381i | 1.42436 | + | 0.560555i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 95.3052 | − | 237.598i | 0.372286 | − | 0.928118i | ||||
\(257\) | −5.94379 | − | 2.16336i | −0.0231276 | − | 0.00841775i | 0.330430 | − | 0.943830i | \(-0.392806\pi\) |
−0.353558 | + | 0.935413i | \(0.615028\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 36.6262 | + | 6.45820i | 0.141414 | + | 0.0249351i | ||||
\(260\) | 0.0674881 | + | 0.546819i | 0.000259570 | + | 0.00210315i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −134.781 | − | 119.169i | −0.514430 | − | 0.454842i | ||||
\(263\) | −110.483 | + | 131.668i | −0.420087 | + | 0.500640i | −0.934035 | − | 0.357181i | \(-0.883738\pi\) |
0.513948 | + | 0.857821i | \(0.328182\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.132145 | + | 0.749432i | 0.000498661 | + | 0.00282805i | ||||
\(266\) | 24.1438 | − | 13.1188i | 0.0907663 | − | 0.0493188i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 8.96317 | − | 173.099i | 0.0334447 | − | 0.645890i | ||||
\(269\) | −219.984 | −0.817785 | −0.408893 | − | 0.912582i | \(-0.634085\pi\) | ||||
−0.408893 | + | 0.912582i | \(0.634085\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 250.774i | 0.925365i | 0.886524 | + | 0.462682i | \(0.153113\pi\) | ||||
−0.886524 | + | 0.462682i | \(0.846887\pi\) | |||||||
\(272\) | 126.163 | + | 61.3387i | 0.463836 | + | 0.225510i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −105.499 | + | 57.3239i | −0.385032 | + | 0.209211i | ||||
\(275\) | 142.969 | − | 25.2094i | 0.519889 | − | 0.0916704i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 25.4939 | + | 21.3919i | 0.0920358 | + | 0.0772272i | 0.687645 | − | 0.726047i | \(-0.258645\pi\) |
−0.595609 | + | 0.803275i | \(0.703089\pi\) | |||||||
\(278\) | 132.906 | + | 117.511i | 0.478079 | + | 0.422703i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.102514 | − | 0.00797129i | −0.000366122 | − | 2.84689e-5i | ||||
\(281\) | −27.5612 | + | 156.307i | −0.0980826 | + | 0.556254i | 0.895677 | + | 0.444706i | \(0.146692\pi\) |
−0.993759 | + | 0.111548i | \(0.964419\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 120.497 | − | 331.063i | 0.425785 | − | 1.16984i | −0.522562 | − | 0.852601i | \(-0.675024\pi\) |
0.948347 | − | 0.317234i | \(-0.102754\pi\) | |||||||
\(284\) | −155.840 | + | 167.327i | −0.548731 | + | 0.589181i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −80.4854 | − | 31.6750i | −0.281417 | − | 0.110752i | ||||
\(287\) | 33.8588 | − | 19.5484i | 0.117975 | − | 0.0681128i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 106.063 | − | 183.707i | 0.367001 | − | 0.635664i | ||||
\(290\) | −0.518156 | − | 0.650994i | −0.00178675 | − | 0.00224481i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 26.2123 | − | 113.863i | 0.0897681 | − | 0.389941i | ||||
\(293\) | −21.2865 | + | 17.8615i | −0.0726503 | + | 0.0609608i | −0.678390 | − | 0.734702i | \(-0.737322\pi\) |
0.605739 | + | 0.795663i | \(0.292877\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.321767 | − | 0.884049i | −0.00109074 | − | 0.00299678i | ||||
\(296\) | −353.077 | − | 242.176i | −1.19283 | − | 0.818162i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 276.378 | + | 56.1398i | 0.927444 | + | 0.188389i | ||||
\(299\) | 28.3338 | + | 77.8465i | 0.0947619 | + | 0.260356i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 38.1560 | − | 32.0167i | 0.126764 | − | 0.106368i | ||||
\(302\) | −192.273 | − | 4.97468i | −0.636665 | − | 0.0164725i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −315.529 | + | 22.4605i | −1.03792 | + | 0.0738834i | ||||
\(305\) | −0.349243 | + | 0.604907i | −0.00114506 | + | 0.00198330i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −345.391 | + | 199.412i | −1.12505 | + | 0.649549i | −0.942686 | − | 0.333681i | \(-0.891709\pi\) |
−0.182366 | + | 0.983231i | \(0.558376\pi\) | |||||||
\(308\) | 8.78299 | − | 13.5431i | 0.0285162 | − | 0.0439713i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.609084 | + | 0.994633i | −0.00196479 | + | 0.00320849i | ||||
\(311\) | −82.2845 | + | 226.075i | −0.264580 | + | 0.726928i | 0.734264 | + | 0.678864i | \(0.237527\pi\) |
−0.998844 | + | 0.0480643i | \(0.984695\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.6287 | − | 122.662i | 0.0691012 | − | 0.391892i | −0.930567 | − | 0.366122i | \(-0.880685\pi\) |
0.999668 | − | 0.0257700i | \(-0.00820376\pi\) | |||||||
\(314\) | −53.8528 | − | 160.782i | −0.171506 | − | 0.512044i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 324.088 | + | 429.520i | 1.02559 | + | 1.35924i | ||||
\(317\) | −300.212 | − | 251.908i | −0.947043 | − | 0.794663i | 0.0317545 | − | 0.999496i | \(-0.489891\pi\) |
−0.978797 | + | 0.204833i | \(0.934335\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 128.633 | − | 22.6814i | 0.403237 | − | 0.0711016i | ||||
\(320\) | 1.03638 | + | 0.571934i | 0.00323868 | + | 0.00178729i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −15.2898 | + | 2.28997i | −0.0474839 | + | 0.00711170i | ||||
\(323\) | − | 173.343i | − | 0.536664i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 186.180 | 0.572861 | ||||||||
\(326\) | −18.2949 | − | 122.153i | −0.0561195 | − | 0.374703i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −447.974 | + | 43.5591i | −1.36577 | + | 0.132802i | ||||
\(329\) | −8.24440 | − | 46.7563i | −0.0250590 | − | 0.142117i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −30.9734 | + | 36.9126i | −0.0935751 | + | 0.111518i | −0.810800 | − | 0.585323i | \(-0.800968\pi\) |
0.717225 | + | 0.696842i | \(0.245412\pi\) | |||||||
\(332\) | −345.864 | − | 458.380i | −1.04176 | − | 1.38066i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −569.491 | + | 190.747i | −1.70506 | + | 0.571099i | ||||
\(335\) | 0.789286 | + | 0.139172i | 0.00235608 | + | 0.000415440i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −534.338 | − | 194.483i | −1.58557 | − | 0.577101i | −0.609166 | − | 0.793043i | \(-0.708496\pi\) |
−0.976406 | + | 0.215941i | \(0.930718\pi\) | |||||||
\(338\) | 193.651 | + | 118.586i | 0.572932 | + | 0.350847i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.352945 | + | 0.544232i | −0.00103807 | + | 0.00160068i | ||||
\(341\) | −91.5468 | − | 158.564i | −0.268466 | − | 0.464996i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 58.6875 | + | 33.8833i | 0.171101 | + | 0.0987850i | ||||
\(344\) | −552.410 | + | 153.755i | −1.60584 | + | 0.446962i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 15.8188 | − | 611.403i | 0.0457192 | − | 1.76706i | ||||
\(347\) | 74.5764 | + | 88.8767i | 0.214918 | + | 0.256129i | 0.862723 | − | 0.505677i | \(-0.168757\pi\) |
−0.647805 | + | 0.761806i | \(0.724313\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −155.510 | + | 56.6009i | −0.445587 | + | 0.162180i | −0.555062 | − | 0.831809i | \(-0.687305\pi\) |
0.109475 | + | 0.993990i | \(0.465083\pi\) | |||||||
\(350\) | −6.91649 | + | 34.0501i | −0.0197614 | + | 0.0972861i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −156.568 | + | 100.089i | −0.444796 | + | 0.284345i | ||||
\(353\) | 603.473 | − | 219.646i | 1.70956 | − | 0.622227i | 0.712700 | − | 0.701469i | \(-0.247472\pi\) |
0.996855 | + | 0.0792417i | \(0.0252499\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.679613 | − | 0.809932i | −0.00191440 | − | 0.00228150i | ||||
\(356\) | 53.0414 | − | 230.405i | 0.148993 | − | 0.647205i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 339.167 | − | 269.959i | 0.947394 | − | 0.754075i | ||||
\(359\) | −284.704 | − | 164.374i | −0.793046 | − | 0.457866i | 0.0479875 | − | 0.998848i | \(-0.484719\pi\) |
−0.841034 | + | 0.540982i | \(0.818053\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.9356 | + | 25.8692i | 0.0413728 | + | 0.0716599i | ||||
\(362\) | −22.2348 | + | 56.4982i | −0.0614222 | + | 0.156072i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 14.1086 | − | 15.1486i | 0.0387600 | − | 0.0416171i | ||||
\(365\) | 0.507679 | + | 0.184780i | 0.00139090 | + | 0.000506246i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −108.149 | − | 19.0695i | −0.294683 | − | 0.0519605i | 0.0243522 | − | 0.999703i | \(-0.492248\pi\) |
−0.319035 | + | 0.947743i | \(0.603359\pi\) | |||||||
\(368\) | 171.148 | + | 48.8444i | 0.465076 | + | 0.132729i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.31134 | − | 1.48314i | 0.00354416 | − | 0.00400847i | ||||
\(371\) | 18.3787 | − | 21.9029i | 0.0495383 | − | 0.0590374i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 121.587 | + | 689.555i | 0.325971 | + | 1.84867i | 0.502763 | + | 0.864425i | \(0.332317\pi\) |
−0.176792 | + | 0.984248i | \(0.556572\pi\) | |||||||
\(374\) | −48.6170 | − | 89.4747i | −0.129992 | − | 0.239237i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −136.353 | + | 529.287i | −0.362642 | + | 1.40768i | ||||
\(377\) | 167.510 | 0.444323 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 138.113i | 0.364413i | 0.983260 | + | 0.182207i | \(0.0583239\pi\) | ||||
−0.983260 | + | 0.182207i | \(0.941676\pi\) | |||||||
\(380\) | 0.0756365 | − | 1.46071i | 0.000199044 | − | 0.00384397i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 259.659 | + | 477.876i | 0.679735 | + | 1.25098i | ||||
\(383\) | 37.4599 | − | 6.60520i | 0.0978067 | − | 0.0172460i | −0.124531 | − | 0.992216i | \(-0.539743\pi\) |
0.222337 | + | 0.974970i | \(0.428631\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.0571760 | + | 0.0479764i | 0.000148509 | + | 0.000124614i | ||||
\(386\) | −351.298 | + | 397.321i | −0.910099 | + | 1.02933i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −18.7277 | − | 151.740i | −0.0482672 | − | 0.391083i | ||||
\(389\) | 7.82254 | − | 44.3639i | 0.0201094 | − | 0.114046i | −0.973101 | − | 0.230380i | \(-0.926003\pi\) |
0.993210 | + | 0.116334i | \(0.0371143\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −33.3576 | + | 91.6493i | −0.0853136 | + | 0.234397i | ||||
\(392\) | −225.688 | − | 315.777i | −0.575736 | − | 0.805552i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 123.705 | − | 314.332i | 0.313973 | − | 0.797798i | ||||
\(395\) | −2.15466 | + | 1.24399i | −0.00545483 | + | 0.00314935i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −348.887 | + | 604.290i | −0.878809 | + | 1.52214i | −0.0261596 | + | 0.999658i | \(0.508328\pi\) |
−0.852649 | + | 0.522484i | \(0.825006\pi\) | |||||||
\(398\) | 188.094 | − | 149.713i | 0.472598 | − | 0.376163i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 234.706 | − | 323.896i | 0.586765 | − | 0.809740i | ||||
\(401\) | 462.311 | − | 387.925i | 1.15289 | − | 0.967394i | 0.153112 | − | 0.988209i | \(-0.451071\pi\) |
0.999783 | + | 0.0208151i | \(0.00662614\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −80.3092 | − | 220.648i | −0.199279 | − | 0.547513i | ||||
\(404\) | −496.354 | − | 210.324i | −1.22860 | − | 0.520603i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6.22292 | + | 30.6357i | −0.0153274 | + | 0.0754573i | ||||
\(407\) | 106.296 | + | 292.045i | 0.261169 | + | 0.717555i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 512.307 | − | 429.876i | 1.25258 | − | 1.05104i | 0.256152 | − | 0.966637i | \(-0.417545\pi\) |
0.996431 | − | 0.0844058i | \(-0.0268992\pi\) | |||||||
\(410\) | 0.0538277 | − | 2.08046i | 0.000131287 | − | 0.00507429i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −175.590 | + | 89.6061i | −0.426190 | + | 0.217491i | ||||
\(413\) | −17.6737 | + | 30.6117i | −0.0427934 | + | 0.0741204i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.29943 | − | 1.32758i | 0.00554080 | − | 0.00319898i | ||||
\(416\) | −220.030 | + | 91.5426i | −0.528918 | + | 0.220054i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 195.818 | + | 119.913i | 0.468465 | + | 0.286874i | ||||
\(419\) | 114.302 | − | 314.043i | 0.272798 | − | 0.749507i | −0.725333 | − | 0.688398i | \(-0.758314\pi\) |
0.998131 | − | 0.0611085i | \(-0.0194636\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −86.2197 | + | 488.976i | −0.204797 | + | 1.16146i | 0.692961 | + | 0.720975i | \(0.256306\pi\) |
−0.897758 | + | 0.440488i | \(0.854805\pi\) | |||||||
\(422\) | −526.595 | + | 176.379i | −1.24786 | + | 0.417961i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −296.959 | + | 141.984i | −0.700375 | + | 0.334868i | ||||
\(425\) | 167.910 | + | 140.893i | 0.395082 | + | 0.331513i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 25.8450 | − | 4.55717i | 0.0605269 | − | 0.0106725i | ||||
\(428\) | 200.863 | + | 655.527i | 0.469306 | + | 1.53160i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.392719 | − | 2.62214i | −0.000913300 | − | 0.00609799i | ||||
\(431\) | − | 406.367i | − | 0.942847i | −0.881907 | − | 0.471424i | \(-0.843740\pi\) | ||
0.881907 | − | 0.471424i | \(-0.156260\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 313.745 | 0.724584 | 0.362292 | − | 0.932065i | \(-0.381994\pi\) | ||||
0.362292 | + | 0.932065i | \(0.381994\pi\) | |||||||
\(434\) | 43.3374 | − | 6.49068i | 0.0998558 | − | 0.0149555i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −448.635 | + | 137.468i | −1.02898 | + | 0.315294i | ||||
\(437\) | −38.1893 | − | 216.583i | −0.0873898 | − | 0.495612i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 291.034 | − | 346.841i | 0.662948 | − | 0.790070i | −0.324858 | − | 0.945763i | \(-0.605317\pi\) |
0.987806 | + | 0.155693i | \(0.0497610\pi\) | |||||||
\(440\) | −0.370641 | − | 0.775192i | −0.000842365 | − | 0.00176180i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −41.4762 | − | 123.830i | −0.0938375 | − | 0.280159i | ||||
\(443\) | 230.762 | + | 40.6896i | 0.520908 | + | 0.0918502i | 0.427919 | − | 0.903817i | \(-0.359247\pi\) |
0.0929890 | + | 0.995667i | \(0.470358\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.02730 | + | 0.373908i | 0.00230855 | + | 0.000840243i | ||||
\(446\) | 38.2446 | − | 62.4533i | 0.0857502 | − | 0.140030i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.56809 | − | 43.6417i | −0.0191252 | − | 0.0974146i | ||||
\(449\) | 80.2533 | + | 139.003i | 0.178738 | + | 0.309583i | 0.941449 | − | 0.337157i | \(-0.109465\pi\) |
−0.762711 | + | 0.646740i | \(0.776132\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 282.940 | + | 163.355i | 0.627361 | + | 0.362207i | ||||
\(452\) | −61.4879 | − | 120.490i | −0.136035 | − | 0.266572i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −67.9504 | − | 1.75808i | −0.149671 | − | 0.00387243i | ||||
\(455\) | 0.0615274 | + | 0.0733255i | 0.000135225 | + | 0.000161155i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 85.8747 | − | 31.2559i | 0.187910 | − | 0.0683935i | −0.246351 | − | 0.969181i | \(-0.579232\pi\) |
0.434261 | + | 0.900787i | \(0.357010\pi\) | |||||||
\(458\) | 595.768 | + | 121.016i | 1.30080 | + | 0.264228i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.321086 | + | 0.757747i | −0.000698012 | + | 0.00164728i | ||||
\(461\) | 124.007 | − | 45.1350i | 0.268997 | − | 0.0979068i | −0.204000 | − | 0.978971i | \(-0.565394\pi\) |
0.472997 | + | 0.881064i | \(0.343172\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 143.224 | + | 170.688i | 0.309339 | + | 0.368656i | 0.898207 | − | 0.439574i | \(-0.144870\pi\) |
−0.588867 | + | 0.808230i | \(0.700426\pi\) | |||||||
\(464\) | 211.170 | − | 291.416i | 0.455108 | − | 0.628053i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −124.522 | − | 156.445i | −0.267214 | − | 0.335718i | ||||
\(467\) | 385.006 | + | 222.284i | 0.824425 | + | 0.475982i | 0.851940 | − | 0.523639i | \(-0.175426\pi\) |
−0.0275151 | + | 0.999621i | \(0.508759\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −15.0563 | − | 26.0783i | −0.0321031 | − | 0.0556042i | ||||
\(470\) | −2.35171 | − | 0.925514i | −0.00500364 | − | 0.00196918i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 331.061 | − | 236.612i | 0.701399 | − | 0.501297i | ||||
\(473\) | 391.127 | + | 142.358i | 0.826906 | + | 0.300969i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −486.746 | − | 85.8264i | −1.02473 | − | 0.180687i | ||||
\(476\) | 24.1880 | − | 2.98527i | 0.0508152 | − | 0.00627158i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −193.985 | − | 171.516i | −0.405827 | − | 0.358819i | ||||
\(479\) | −365.461 | + | 435.539i | −0.762966 | + | 0.909268i | −0.998032 | − | 0.0627117i | \(-0.980025\pi\) |
0.235065 | + | 0.971980i | \(0.424470\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 69.2109 | + | 392.515i | 0.143890 | + | 0.816039i | ||||
\(482\) | −104.510 | + | 56.7864i | −0.216825 | + | 0.117814i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −348.644 | − | 18.0531i | −0.720340 | − | 0.0372997i | ||||
\(485\) | 0.706954 | 0.00145764 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 927.501i | − | 1.90452i | −0.305288 | − | 0.952260i | \(-0.598753\pi\) | ||
0.305288 | − | 0.952260i | \(-0.401247\pi\) | |||||||
\(488\) | −292.568 | − | 75.3705i | −0.599525 | − | 0.154448i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.57695 | − | 0.856852i | 0.00321826 | − | 0.00174868i | ||||
\(491\) | −538.209 | + | 94.9007i | −1.09615 | + | 0.193281i | −0.692346 | − | 0.721566i | \(-0.743423\pi\) |
−0.403802 | + | 0.914846i | \(0.632312\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 151.072 | + | 126.765i | 0.306435 | + | 0.257129i | ||||
\(494\) | 220.608 | + | 195.055i | 0.446575 | + | 0.394847i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −485.102 | − | 138.444i | −0.978027 | − | 0.279121i | ||||
\(497\) | −6.89813 | + | 39.1212i | −0.0138795 | + | 0.0787147i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −263.489 | + | 723.929i | −0.528034 | + | 1.45076i | 0.333349 | + | 0.942804i | \(0.391821\pi\) |
−0.861382 | + | 0.507957i | \(0.830401\pi\) | |||||||
\(500\) | 2.70692 | + | 2.52108i | 0.00541384 | + | 0.00504217i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 384.484 | + | 151.313i | 0.765905 | + | 0.301421i | ||||
\(503\) | 367.090 | − | 211.939i | 0.729801 | − | 0.421351i | −0.0885483 | − | 0.996072i | \(-0.528223\pi\) |
0.818349 | + | 0.574721i | \(0.194889\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.24632 | − | 2.15868i | 0.00246795 | − | 0.00427462i | ||||
\(506\) | −80.4568 | − | 101.083i | −0.159006 | − | 0.199769i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −757.771 | − | 174.446i | −1.49167 | − | 0.343398i | ||||
\(509\) | −530.899 | + | 445.477i | −1.04302 | + | 0.875200i | −0.992343 | − | 0.123514i | \(-0.960583\pi\) |
−0.0506806 | + | 0.998715i | \(0.516139\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.94259 | − | 19.0746i | −0.0135863 | − | 0.0373280i | ||||
\(512\) | −118.123 | + | 498.188i | −0.230708 | + | 0.973023i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 12.3973 | + | 2.51823i | 0.0241193 | + | 0.00489928i | ||||
\(515\) | −0.311758 | − | 0.856549i | −0.000605356 | − | 0.00166320i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 303.925 | − | 255.023i | 0.587862 | − | 0.493275i | ||||
\(518\) | −74.3577 | − | 1.92386i | −0.143548 | − | 0.00371401i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.295475 | − | 1.06158i | −0.000568222 | − | 0.00204150i | ||||
\(521\) | 304.376 | − | 527.195i | 0.584215 | − | 1.01189i | −0.410758 | − | 0.911744i | \(-0.634736\pi\) |
0.994973 | − | 0.100145i | \(-0.0319308\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 522.353 | − | 301.581i | 0.998762 | − | 0.576636i | 0.0908806 | − | 0.995862i | \(-0.471032\pi\) |
0.907882 | + | 0.419226i | \(0.137699\pi\) | |||||||
\(524\) | 301.890 | + | 195.781i | 0.576126 | + | 0.373629i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 179.523 | − | 293.161i | 0.341299 | − | 0.557340i | ||||
\(527\) | 94.5487 | − | 259.770i | 0.179409 | − | 0.492923i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 70.3727 | − | 399.103i | 0.133030 | − | 0.754448i | ||||
\(530\) | −0.483385 | − | 1.44318i | −0.000912047 | − | 0.00272299i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −43.8688 | + | 33.1005i | −0.0824601 | + | 0.0622190i | ||||
\(533\) | 320.965 | + | 269.322i | 0.602186 | + | 0.505294i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.12203 | + | 0.550498i | −0.00583557 | + | 0.00102897i | ||||
\(536\) | 33.5496 | + | 345.034i | 0.0625926 | + | 0.643719i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 435.115 | − | 65.1675i | 0.808765 | − | 0.121129i | ||||
\(539\) | 281.742i | 0.522713i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 406.606 | 0.751582 | 0.375791 | − | 0.926705i | \(-0.377371\pi\) | ||||
0.375791 | + | 0.926705i | \(0.377371\pi\) | |||||||
\(542\) | −74.2886 | − | 496.015i | −0.137064 | − | 0.915158i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −267.714 | − | 83.9500i | −0.492122 | − | 0.154320i | ||||
\(545\) | −0.376754 | − | 2.13668i | −0.000691292 | − | 0.00392051i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −342.420 | + | 408.080i | −0.625996 | + | 0.746032i | −0.982089 | − | 0.188418i | \(-0.939664\pi\) |
0.356093 | + | 0.934450i | \(0.384108\pi\) | |||||||
\(548\) | 191.689 | − | 144.636i | 0.349797 | − | 0.263934i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −275.317 | + | 92.2154i | −0.500576 | + | 0.167664i | ||||
\(551\) | −437.936 | − | 77.2199i | −0.794802 | − | 0.140145i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 87.8415 | + | 31.9717i | 0.158845 | + | 0.0578150i | ||||
\(554\) | −56.7625 | − | 34.7597i | −0.102459 | − | 0.0627431i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −297.691 | − | 193.058i | −0.535416 | − | 0.347228i | ||||
\(557\) | −42.5317 | − | 73.6671i | −0.0763586 | − | 0.132257i | 0.825318 | − | 0.564669i | \(-0.190996\pi\) |
−0.901676 | + | 0.432412i | \(0.857663\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 462.278 | + | 266.896i | 0.826973 | + | 0.477453i | ||||
\(560\) | 0.205128 | − | 0.0146018i | 0.000366300 | − | 2.60746e-5i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.21032 | − | 317.331i | 0.0146091 | − | 0.564646i | ||||
\(563\) | −670.430 | − | 798.988i | −1.19082 | − | 1.41916i | −0.884060 | − | 0.467373i | \(-0.845200\pi\) |
−0.306758 | − | 0.951788i | \(-0.599244\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.587766 | − | 0.213929i | 0.00104029 | − | 0.000378636i | ||||
\(566\) | −140.263 | + | 690.519i | −0.247814 | + | 1.22000i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 258.673 | − | 377.129i | 0.455410 | − | 0.663959i | ||||
\(569\) | −233.686 | + | 85.0548i | −0.410696 | + | 0.149481i | −0.539102 | − | 0.842241i | \(-0.681236\pi\) |
0.128406 | + | 0.991722i | \(0.459014\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.43075 | − | 5.28036i | −0.00775963 | − | 0.00924757i | 0.762151 | − | 0.647400i | \(-0.224144\pi\) |
−0.769910 | + | 0.638152i | \(0.779699\pi\) | |||||||
\(572\) | 168.578 | + | 38.8084i | 0.294718 | + | 0.0678468i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −61.1796 | + | 48.6957i | −0.106585 | + | 0.0848358i | ||||
\(575\) | 240.835 | + | 139.046i | 0.418844 | + | 0.241819i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −489.126 | − | 847.191i | −0.847705 | − | 1.46827i | −0.883251 | − | 0.468901i | \(-0.844650\pi\) |
0.0355453 | − | 0.999368i | \(-0.488683\pi\) | |||||||
\(578\) | −155.366 | + | 394.781i | −0.268799 | + | 0.683012i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.21773 | + | 1.13413i | 0.00209953 | + | 0.00195539i | ||||
\(581\) | −93.7437 | − | 34.1199i | −0.161349 | − | 0.0587262i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 235.300 | + | 41.4897i | 0.403602 | + | 0.0711659i | ||||
\(584\) | −18.1159 | + | 232.979i | −0.0310204 | + | 0.398936i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 36.8122 | − | 41.6349i | 0.0628195 | − | 0.0710493i | ||||
\(587\) | 222.285 | − | 264.909i | 0.378680 | − | 0.451293i | −0.542717 | − | 0.839915i | \(-0.682605\pi\) |
0.921397 | + | 0.388623i | \(0.127049\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 108.244 | + | 613.881i | 0.183775 | + | 1.04224i | ||||
\(590\) | 0.898325 | + | 1.65328i | 0.00152258 | + | 0.00280216i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 770.107 | + | 374.415i | 1.30086 | + | 0.632457i | ||||
\(593\) | 555.768 | 0.937214 | 0.468607 | − | 0.883407i | \(-0.344756\pi\) | ||||
0.468607 | + | 0.883407i | \(0.344756\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.112691i | 0.000189397i | ||||||||
\(596\) | −563.290 | − | 29.1676i | −0.945118 | − | 0.0489389i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −79.1036 | − | 145.582i | −0.132280 | − | 0.243448i | ||||
\(599\) | −873.003 | + | 153.934i | −1.45743 | + | 0.256985i | −0.845522 | − | 0.533941i | \(-0.820710\pi\) |
−0.611912 | + | 0.790926i | \(0.709599\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 417.266 | + | 350.128i | 0.694287 | + | 0.582576i | 0.920142 | − | 0.391585i | \(-0.128073\pi\) |
−0.225855 | + | 0.974161i | \(0.572518\pi\) | |||||||
\(602\) | −65.9857 | + | 74.6303i | −0.109611 | + | 0.123971i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 381.778 | − | 47.1188i | 0.632082 | − | 0.0780112i | ||||
\(605\) | 0.280313 | − | 1.58973i | 0.000463327 | − | 0.00262766i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −334.605 | + | 919.318i | −0.551243 | + | 1.51453i | 0.280772 | + | 0.959775i | \(0.409410\pi\) |
−0.832015 | + | 0.554753i | \(0.812813\pi\) | |||||||
\(608\) | 617.444 | − | 137.897i | 1.01553 | − | 0.226804i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.511586 | − | 1.29993i | 0.000838666 | − | 0.00213103i | ||||
\(611\) | 440.639 | − | 254.403i | 0.721177 | − | 0.416372i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 113.985 | − | 197.428i | 0.185947 | − | 0.322069i | −0.757949 | − | 0.652314i | \(-0.773798\pi\) |
0.943895 | + | 0.330245i | \(0.107132\pi\) | |||||||
\(614\) | 624.089 | − | 496.742i | 1.01643 | − | 0.809026i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −13.3602 | + | 29.3894i | −0.0216887 | + | 0.0477100i | ||||
\(617\) | −490.000 | + | 411.159i | −0.794165 | + | 0.666384i | −0.946773 | − | 0.321903i | \(-0.895677\pi\) |
0.152607 | + | 0.988287i | \(0.451233\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −294.399 | − | 808.856i | −0.475605 | − | 1.30671i | −0.913189 | − | 0.407536i | \(-0.866388\pi\) |
0.437584 | − | 0.899178i | \(-0.355834\pi\) | |||||||
\(620\) | 0.910084 | − | 2.14776i | 0.00146788 | − | 0.00346412i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 95.7819 | − | 471.538i | 0.153990 | − | 0.758099i | ||||
\(623\) | −14.0486 | − | 38.5981i | −0.0225498 | − | 0.0619552i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 478.758 | − | 401.726i | 0.766013 | − | 0.642761i | ||||
\(626\) | −6.44305 | + | 249.026i | −0.0102924 | + | 0.397805i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 154.147 | + | 302.064i | 0.245457 | + | 0.480993i | ||||
\(629\) | −234.620 | + | 406.373i | −0.373004 | + | 0.646063i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 901.462 | − | 520.459i | 1.42862 | − | 0.824817i | 0.431612 | − | 0.902059i | \(-0.357945\pi\) |
0.997012 | + | 0.0772427i | \(0.0246116\pi\) | |||||||
\(632\) | −768.265 | − | 753.557i | −1.21561 | − | 1.19234i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 668.427 | + | 409.325i | 1.05430 | + | 0.645623i | ||||
\(635\) | 1.22973 | − | 3.37867i | 0.00193659 | − | 0.00532073i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −62.7427 | + | 355.831i | −0.0984972 | + | 0.558605i | ||||
\(638\) | −247.708 | + | 82.9682i | −0.388258 | + | 0.130044i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.21932 | − | 0.824238i | −0.00346769 | − | 0.00128787i | ||||
\(641\) | −207.258 | − | 173.910i | −0.323336 | − | 0.271311i | 0.466642 | − | 0.884446i | \(-0.345464\pi\) |
−0.789978 | + | 0.613135i | \(0.789908\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −326.145 | + | 57.5082i | −0.507224 | + | 0.0894373i | −0.421403 | − | 0.906873i | \(-0.638462\pi\) |
−0.0858206 | + | 0.996311i | \(0.527351\pi\) | |||||||
\(644\) | 29.5640 | − | 9.05884i | 0.0459068 | − | 0.0140665i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 51.3505 | + | 342.861i | 0.0794900 | + | 0.530745i | ||||
\(647\) | 302.985i | 0.468293i | 0.972201 | + | 0.234146i | \(0.0752295\pi\) | ||||
−0.972201 | + | 0.234146i | \(0.924771\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −295.379 | −0.455129 | ||||||||
\(650\) | −368.252 | + | 55.1534i | −0.566542 | + | 0.0848513i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 72.3726 | + | 236.192i | 0.111001 | + | 0.362257i | ||||
\(653\) | 108.363 | + | 614.557i | 0.165946 | + | 0.941129i | 0.948083 | + | 0.318022i | \(0.103019\pi\) |
−0.782137 | + | 0.623107i | \(0.785870\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.06944 | + | 1.27451i | −0.00163273 | + | 0.00194582i | ||||
\(656\) | 873.161 | − | 218.864i | 1.33104 | − | 0.333634i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 30.1579 | + | 90.0389i | 0.0458327 | + | 0.136837i | ||||
\(659\) | 969.694 | + | 170.983i | 1.47146 | + | 0.259459i | 0.851161 | − | 0.524904i | \(-0.175899\pi\) |
0.620302 | + | 0.784363i | \(0.287010\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −708.366 | − | 257.824i | −1.07166 | − | 0.390052i | −0.254862 | − | 0.966978i | \(-0.582030\pi\) |
−0.816797 | + | 0.576926i | \(0.804252\pi\) | |||||||
\(662\) | 50.3285 | − | 82.1864i | 0.0760250 | − | 0.124149i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 819.887 | + | 804.190i | 1.23477 | + | 1.21113i | ||||
\(665\) | −0.127054 | − | 0.220065i | −0.000191059 | − | 0.000330924i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 216.685 | + | 125.103i | 0.324864 | + | 0.187561i | ||||
\(668\) | 1069.91 | − | 545.991i | 1.60167 | − | 0.817352i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.60239 | − | 0.0414586i | −0.00239162 | − | 6.18786e-5i | ||||
\(671\) | 140.966 | + | 167.997i | 0.210084 | + | 0.250368i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 120.292 | − | 43.7828i | 0.178740 | − | 0.0650562i | −0.251100 | − | 0.967961i | \(-0.580792\pi\) |
0.429840 | + | 0.902905i | \(0.358570\pi\) | |||||||
\(674\) | 1114.50 | + | 226.385i | 1.65356 | + | 0.335883i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −418.160 | − | 177.190i | −0.618579 | − | 0.262115i | ||||
\(677\) | −795.059 | + | 289.378i | −1.17439 | + | 0.427441i | −0.854216 | − | 0.519919i | \(-0.825962\pi\) |
−0.320170 | + | 0.947360i | \(0.603740\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −17.0736 | − | 20.3475i | −0.0251452 | − | 0.0299669i | ||||
\(680\) | 0.536881 | − | 1.18101i | 0.000789531 | − | 0.00173678i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 228.046 | + | 286.510i | 0.334379 | + | 0.420102i | ||||
\(683\) | 709.493 | + | 409.626i | 1.03879 | + | 0.599745i | 0.919490 | − | 0.393113i | \(-0.128602\pi\) |
0.119299 | + | 0.992858i | \(0.461935\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.555176 | + | 0.961594i | 0.000810476 | + | 0.00140379i | ||||
\(686\) | −126.118 | − | 49.6336i | −0.183845 | − | 0.0723522i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1047.09 | − | 467.763i | 1.52193 | − | 0.679887i | ||||
\(689\) | 287.936 | + | 104.800i | 0.417905 | + | 0.152105i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −540.831 | − | 95.3631i | −0.782679 | − | 0.138007i | −0.231990 | − | 0.972718i | \(-0.574524\pi\) |
−0.550689 | + | 0.834711i | \(0.685635\pi\) | |||||||
\(692\) | 149.832 | + | 1214.00i | 0.216520 | + | 1.75434i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −173.836 | − | 153.700i | −0.250484 | − | 0.221470i | ||||
\(695\) | 1.05457 | − | 1.25678i | 0.00151736 | − | 0.00180832i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 85.6573 | + | 485.787i | 0.122894 | + | 0.696968i | ||||
\(698\) | 290.822 | − | 158.021i | 0.416650 | − | 0.226391i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.59348 | − | 69.3980i | 0.00513354 | − | 0.0991401i | ||||
\(701\) | −378.016 | −0.539253 | −0.269626 | − | 0.962965i | \(-0.586900\pi\) | ||||
−0.269626 | + | 0.962965i | \(0.586900\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 1058.09i | − | 1.50511i | ||||||
\(704\) | 280.032 | − | 244.352i | 0.397773 | − | 0.347091i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1128.57 | + | 613.218i | −1.59853 | + | 0.868581i | ||||
\(707\) | −92.2309 | + | 16.2628i | −0.130454 | + | 0.0230025i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −658.239 | − | 552.328i | −0.928404 | − | 0.779024i | 0.0471258 | − | 0.998889i | \(-0.484994\pi\) |
−0.975530 | + | 0.219865i | \(0.929438\pi\) | |||||||
\(710\) | 1.58417 | + | 1.40067i | 0.00223122 | + | 0.00197277i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −36.6582 | + | 471.440i | −0.0514862 | + | 0.662135i | ||||
\(713\) | 60.9033 | − | 345.400i | 0.0854184 | − | 0.484432i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.273574 | + | 0.751639i | −0.000382621 | + | 0.00105124i | ||||
\(716\) | −590.880 | + | 634.436i | −0.825251 | + | 0.886084i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 611.820 | + | 240.781i | 0.852117 | + | 0.335350i | ||||
\(719\) | 464.412 | − | 268.129i | 0.645914 | − | 0.372919i | −0.140975 | − | 0.990013i | \(-0.545024\pi\) |
0.786889 | + | 0.617094i | \(0.211690\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −17.1239 | + | 29.6595i | −0.0237502 | + | 0.0411366i | ||||
\(722\) | −37.2051 | − | 46.7433i | −0.0515307 | − | 0.0647413i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 27.2423 | − | 118.337i | 0.0376274 | − | 0.163449i | ||||
\(725\) | 430.755 | − | 361.446i | 0.594145 | − | 0.498547i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 169.632 | + | 466.059i | 0.233331 | + | 0.641071i | 1.00000 | 0.000971702i | \(-0.000309302\pi\) | |
−0.766669 | + | 0.642043i | \(0.778087\pi\) | |||||||
\(728\) | −23.4184 | + | 34.1426i | −0.0321681 | + | 0.0468991i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.05890 | − | 0.215090i | −0.00145054 | − | 0.000294644i | ||||
\(731\) | 214.938 | + | 590.539i | 0.294033 | + | 0.807850i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 246.754 | − | 207.051i | 0.336635 | − | 0.282471i | −0.458762 | − | 0.888559i | \(-0.651707\pi\) |
0.795397 | + | 0.606089i | \(0.207262\pi\) | |||||||
\(734\) | 219.560 | + | 5.68070i | 0.299129 | + | 0.00773937i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −352.990 | − | 45.9107i | −0.479606 | − | 0.0623787i | ||||
\(737\) | 125.818 | − | 217.923i | 0.170716 | − | 0.295689i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −163.942 | + | 94.6517i | −0.221842 | + | 0.128081i | −0.606803 | − | 0.794852i | \(-0.707548\pi\) |
0.384961 | + | 0.922933i | \(0.374215\pi\) | |||||||
\(740\) | −2.15439 | + | 3.32202i | −0.00291134 | + | 0.00448922i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −29.8635 | + | 48.7670i | −0.0402473 | + | 0.0657237i | ||||
\(743\) | −215.502 | + | 592.087i | −0.290043 | + | 0.796886i | 0.706016 | + | 0.708196i | \(0.250491\pi\) |
−0.996059 | + | 0.0886907i | \(0.971732\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.452889 | − | 2.56846i | 0.000607905 | − | 0.00344760i | ||||
\(746\) | −444.764 | − | 1327.88i | −0.596198 | − | 1.78000i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 122.667 | + | 162.573i | 0.163994 | + | 0.217344i | ||||
\(749\) | 91.2443 | + | 76.5631i | 0.121821 | + | 0.102220i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1238.93 | + | 218.457i | −1.64971 | + | 0.290888i | −0.919721 | − | 0.392572i | \(-0.871585\pi\) |
−0.729988 | + | 0.683460i | \(0.760474\pi\) | |||||||
\(752\) | 112.904 | − | 1087.29i | 0.150138 | − | 1.44586i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −331.324 | + | 49.6227i | −0.439422 | + | 0.0658126i | ||||
\(755\) | 1.77869i | 0.00235589i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1329.08 | −1.75572 | −0.877859 | − | 0.478919i | \(-0.841029\pi\) | ||||
−0.877859 | + | 0.478919i | \(0.841029\pi\) | |||||||
\(758\) | −40.9141 | − | 273.178i | −0.0539764 | − | 0.360393i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.283112 | + | 2.91160i | 0.000372516 | + | 0.00383105i | ||||
\(761\) | −42.4342 | − | 240.656i | −0.0557611 | − | 0.316237i | 0.944151 | − | 0.329514i | \(-0.106885\pi\) |
−0.999912 | + | 0.0132768i | \(0.995774\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −52.3989 | + | 62.4465i | −0.0686748 | + | 0.0818434i | ||||
\(764\) | −655.154 | − | 868.289i | −0.857532 | − | 1.13650i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −72.1368 | + | 24.1617i | −0.0941734 | + | 0.0315427i | ||||
\(767\) | −373.054 | − | 65.7795i | −0.486381 | − | 0.0857621i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −706.569 | − | 257.170i | −0.918815 | − | 0.334421i | −0.161048 | − | 0.986947i | \(-0.551487\pi\) |
−0.757767 | + | 0.652525i | \(0.773710\pi\) | |||||||
\(770\) | −0.127303 | − | 0.0779567i | −0.000165329 | − | 0.000101242i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 577.145 | − | 889.944i | 0.747598 | − | 1.15278i | ||||
\(773\) | −152.659 | − | 264.413i | −0.197489 | − | 0.342061i | 0.750225 | − | 0.661183i | \(-0.229945\pi\) |
−0.947714 | + | 0.319122i | \(0.896612\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −682.622 | − | 394.112i | −0.880803 | − | 0.508532i | ||||
\(776\) | 81.9933 | + | 294.585i | 0.105661 | + | 0.379620i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.33029 | + | 90.0663i | −0.00299523 | + | 0.115766i | ||||
\(779\) | −714.974 | − | 852.073i | −0.917810 | − | 1.09380i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −311.939 | + | 113.536i | −0.399410 | + | 0.145373i | ||||
\(782\) | 38.8294 | − | 191.159i | 0.0496540 | − | 0.244448i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 539.943 | + | 557.729i | 0.688703 | + | 0.711390i | ||||
\(785\) | −1.47350 | + | 0.536310i | −0.00187707 | + | 0.000683197i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 160.331 | + | 191.075i | 0.203724 | + | 0.242789i | 0.858227 | − | 0.513271i | \(-0.171566\pi\) |
−0.654503 | + | 0.756060i | \(0.727122\pi\) | |||||||
\(788\) | −151.565 | + | 658.377i | −0.192341 | + | 0.835503i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.89326 | − | 3.09883i | 0.00492818 | − | 0.00392257i | ||||
\(791\) | −20.3524 | − | 11.7505i | −0.0257300 | − | 0.0148552i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 140.624 | + | 243.567i | 0.177331 | + | 0.307147i | ||||
\(794\) | 511.064 | − | 1298.60i | 0.643658 | − | 1.63552i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −327.688 | + | 351.843i | −0.411669 | + | 0.442014i | ||||
\(797\) | −1423.05 | − | 517.950i | −1.78551 | − | 0.649874i | −0.999498 | − | 0.0316673i | \(-0.989918\pi\) |
−0.786016 | − | 0.618207i | \(-0.787859\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 589.921 | + | 104.019i | 0.738325 | + | 0.130187i | ||||
\(800\) | −368.284 | + | 710.176i | −0.460355 | + | 0.887719i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −799.505 | + | 904.246i | −0.996889 | + | 1.12749i | ||||
\(803\) | 109.033 | − | 129.941i | 0.135783 | − | 0.161820i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0248272 | + | 0.140802i | 3.08413e−5 | + | 0.000174910i | ||||
\(806\) | 224.211 | + | 412.637i | 0.278177 | + | 0.511957i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1044.06 | + | 268.969i | 1.29216 | + | 0.332882i | ||||
\(809\) | −1163.03 | −1.43761 | −0.718806 | − | 0.695211i | \(-0.755311\pi\) | ||||
−0.718806 | + | 0.695211i | \(0.755311\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 888.115i | 1.09509i | 0.836777 | + | 0.547543i | \(0.184437\pi\) | ||||
−0.836777 | + | 0.547543i | \(0.815563\pi\) | |||||||
\(812\) | 3.23313 | − | 62.4389i | 0.00398169 | − | 0.0768952i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −296.761 | − | 546.158i | −0.364571 | − | 0.670956i | ||||
\(815\) | −1.12489 | + | 0.198349i | −0.00138024 | + | 0.000243373i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1085.54 | − | 910.874i | −1.32869 | − | 1.11490i | ||||
\(818\) | −885.966 | + | 1002.03i | −1.08309 | + | 1.22498i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.509841 | + | 4.13096i | 0.000621757 | + | 0.00503776i | ||||
\(821\) | 167.273 | − | 948.650i | 0.203742 | − | 1.15548i | −0.695664 | − | 0.718367i | \(-0.744890\pi\) |
0.899406 | − | 0.437113i | \(-0.143999\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −228.127 | + | 626.774i | −0.277189 | + | 0.761572i | 0.720489 | + | 0.693467i | \(0.243918\pi\) |
−0.997678 | + | 0.0681051i | \(0.978305\pi\) | |||||||
\(824\) | 320.762 | − | 229.252i | 0.389275 | − | 0.278218i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 25.8891 | − | 65.7837i | 0.0313428 | − | 0.0796413i | ||||
\(827\) | −537.817 | + | 310.509i | −0.650322 | + | 0.375464i | −0.788580 | − | 0.614933i | \(-0.789183\pi\) |
0.138257 | + | 0.990396i | \(0.455850\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 155.530 | − | 269.386i | 0.187612 | − | 0.324953i | −0.756842 | − | 0.653598i | \(-0.773259\pi\) |
0.944453 | + | 0.328645i | \(0.106592\pi\) | |||||||
\(830\) | −4.15486 | + | 3.30705i | −0.00500585 | + | 0.00398439i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 408.087 | − | 246.247i | 0.490490 | − | 0.295970i | ||||
\(833\) | −325.864 | + | 273.433i | −0.391194 | + | 0.328251i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.89962 | + | 5.21915i | 0.00227499 | + | 0.00625048i | ||||
\(836\) | −422.839 | − | 179.173i | −0.505789 | − | 0.214321i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −133.052 | + | 655.019i | −0.158773 | + | 0.781646i | ||||
\(839\) | 413.494 | + | 1136.06i | 0.492841 | + | 1.35407i | 0.898069 | + | 0.439854i | \(0.144970\pi\) |
−0.405228 | + | 0.914216i | \(0.632808\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −256.684 | + | 215.383i | −0.305212 | + | 0.256104i | ||||
\(842\) | 25.6843 | − | 992.707i | 0.0305040 | − | 1.17899i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 989.324 | − | 504.865i | 1.17218 | − | 0.598181i | ||||
\(845\) | 1.04998 | − | 1.81861i | 0.00124257 | − | 0.00215220i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −52.5254 | + | 30.3256i | −0.0620135 | + | 0.0358035i | ||||
\(848\) | 545.306 | − | 368.806i | 0.643049 | − | 0.434913i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −373.853 | − | 228.937i | −0.439828 | − | 0.269338i | ||||
\(851\) | −203.617 | + | 559.432i | −0.239267 | + | 0.657382i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 185.373 | − | 1051.30i | 0.217319 | − | 1.23248i | −0.659519 | − | 0.751688i | \(-0.729240\pi\) |
0.876837 | − | 0.480787i | \(-0.159649\pi\) | |||||||
\(854\) | −49.7698 | + | 16.6700i | −0.0582785 | + | 0.0195200i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −591.486 | − | 1237.09i | −0.690988 | − | 1.44520i | ||||
\(857\) | 518.525 | + | 435.094i | 0.605047 | + | 0.507695i | 0.893063 | − | 0.449931i | \(-0.148551\pi\) |
−0.288017 | + | 0.957625i | \(0.592996\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 931.954 | − | 164.329i | 1.08493 | − | 0.191302i | 0.397535 | − | 0.917587i | \(-0.369866\pi\) |
0.687394 | + | 0.726285i | \(0.258755\pi\) | |||||||
\(860\) | 1.55355 | + | 5.07009i | 0.00180645 | + | 0.00589545i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 120.381 | + | 803.770i | 0.139653 | + | 0.932447i | ||||
\(863\) | − | 1407.68i | − | 1.63114i | −0.578657 | − | 0.815571i | \(-0.696423\pi\) | ||
0.578657 | − | 0.815571i | \(-0.303577\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.65602 | −0.00653875 | ||||||||
\(866\) | −620.568 | + | 92.9429i | −0.716592 | + | 0.107324i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −83.7960 | + | 25.6763i | −0.0965392 | + | 0.0295810i | ||||
\(869\) | 135.646 | + | 769.286i | 0.156094 | + | 0.885255i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 207.434 | − | 247.211i | 0.238156 | − | 0.283824i | ||||
\(872\) | 846.649 | − | 404.806i | 0.970928 | − | 0.464227i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 139.696 | + | 417.074i | 0.159835 | + | 0.477201i | ||||
\(875\) | 0.632880 | + | 0.111594i | 0.000723291 | + | 0.000127536i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −289.362 | − | 105.319i | −0.329946 | − | 0.120090i | 0.171735 | − | 0.985143i | \(-0.445063\pi\) |
−0.501681 | + | 0.865053i | \(0.667285\pi\) | |||||||
\(878\) | −472.900 | + | 772.245i | −0.538611 | + | 0.879550i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.962745 | + | 1.42348i | 0.00109403 | + | 0.00161760i | ||||
\(881\) | −308.635 | − | 534.572i | −0.350324 | − | 0.606778i | 0.635982 | − | 0.771704i | \(-0.280595\pi\) |
−0.986306 | + | 0.164925i | \(0.947262\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 244.263 | + | 141.025i | 0.276629 | + | 0.159712i | 0.631896 | − | 0.775053i | \(-0.282277\pi\) |
−0.355268 | + | 0.934765i | \(0.615610\pi\) | |||||||
\(884\) | 118.721 | + | 232.642i | 0.134299 | + | 0.263170i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −468.488 | − | 12.1212i | −0.528767 | − | 0.0136808i | ||||
\(887\) | 224.634 | + | 267.708i | 0.253251 | + | 0.301813i | 0.877659 | − | 0.479285i | \(-0.159104\pi\) |
−0.624408 | + | 0.781099i | \(0.714660\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −126.944 | + | 46.2038i | −0.142794 | + | 0.0519728i | ||||
\(890\) | −2.14271 | − | 0.435242i | −0.00240754 | − | 0.000489036i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −57.1444 | + | 134.858i | −0.0640633 | + | 0.151186i | ||||
\(893\) | −1269.28 | + | 461.980i | −1.42136 | + | 0.517335i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.57681 | − | 3.07093i | −0.00287912 | − | 0.00343120i | ||||
\(896\) | 29.8755 | + | 83.7825i | 0.0333432 | + | 0.0935073i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −199.914 | − | 251.165i | −0.222621 | − | 0.279694i | ||||
\(899\) | −614.170 | − | 354.591i | −0.683170 | − | 0.394429i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 180.373 | + | 312.415i | 0.200192 | + | 0.346742i | ||||
\(902\) | −608.030 | − | 239.290i | −0.674090 | − | 0.265288i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 157.313 | + | 220.108i | 0.174019 | + | 0.243482i | ||||
\(905\) | 0.527627 | + | 0.192041i | 0.000583014 | + | 0.000212200i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −268.404 | − | 47.3268i | −0.295925 | − | 0.0521795i | 0.0237146 | − | 0.999719i | \(-0.492451\pi\) |
−0.319639 | + | 0.947539i | \(0.603562\pi\) | |||||||
\(908\) | 134.923 | − | 16.6521i | 0.148593 | − | 0.0183393i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.143419 | − | 0.126807i | −0.000157603 | − | 0.000139348i | ||||
\(911\) | 31.4750 | − | 37.5105i | 0.0345500 | − | 0.0411750i | −0.748493 | − | 0.663143i | \(-0.769222\pi\) |
0.783043 | + | 0.621968i | \(0.213667\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −144.760 | − | 820.976i | −0.158555 | − | 0.899207i | ||||
\(914\) | −160.596 | + | 87.2615i | −0.175707 | + | 0.0954721i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1214.24 | − | 62.8743i | −1.32559 | − | 0.0686401i | ||||
\(917\) | 62.5109 | 0.0681689 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 710.873i | 0.773529i | 0.922179 | + | 0.386764i | \(0.126407\pi\) | ||||
−0.922179 | + | 0.386764i | \(0.873593\pi\) | |||||||
\(920\) | 0.410615 | − | 1.59390i | 0.000446320 | − | 0.00173250i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −231.909 | + | 126.010i | −0.251528 | + | 0.136670i | ||||
\(923\) | −419.253 | + | 73.9256i | −0.454228 | + | 0.0800927i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1024.93 | + | 860.019i | 1.10803 | + | 0.929750i | ||||
\(926\) | −333.852 | − | 295.182i | −0.360532 | − | 0.318771i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −331.353 | + | 638.960i | −0.357062 | + | 0.688535i | ||||
\(929\) | 147.173 | − | 834.661i | 0.158421 | − | 0.898451i | −0.797170 | − | 0.603755i | \(-0.793670\pi\) |
0.955591 | − | 0.294696i | \(-0.0952184\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 328.068 | − | 901.358i | 0.352382 | − | 0.968161i | ||||
\(932\) | 292.641 | + | 272.550i | 0.313992 | + | 0.292436i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −827.368 | − | 325.610i | −0.885833 | − | 0.348619i | ||||
\(935\) | −0.815538 | + | 0.470851i | −0.000872234 | + | 0.000503584i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 330.059 | − | 571.679i | 0.352251 | − | 0.610116i | −0.634393 | − | 0.773011i | \(-0.718750\pi\) |
0.986643 | + | 0.162895i | \(0.0520831\pi\) | |||||||
\(938\) | 37.5059 | + | 47.1211i | 0.0399850 | + | 0.0502358i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.92571 | + | 1.13395i | 0.00524012 | + | 0.00120633i | ||||
\(941\) | 711.987 | − | 597.428i | 0.756628 | − | 0.634886i | −0.180619 | − | 0.983553i | \(-0.557810\pi\) |
0.937247 | + | 0.348667i | \(0.113366\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 214.049 | + | 588.094i | 0.226987 | + | 0.623642i | ||||
\(944\) | −584.724 | + | 566.077i | −0.619411 | + | 0.599658i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −815.797 | − | 165.710i | −0.862364 | − | 0.175169i | ||||
\(947\) | −196.604 | − | 540.164i | −0.207607 | − | 0.570395i | 0.791565 | − | 0.611085i | \(-0.209267\pi\) |
−0.999172 | + | 0.0406899i | \(0.987044\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 166.643 | − | 139.830i | 0.175599 | − | 0.147345i | ||||
\(950\) | 988.179 | + | 25.5672i | 1.04019 | + | 0.0269128i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −46.9581 | + | 13.0701i | −0.0493257 | + | 0.0137291i | ||||
\(953\) | −747.116 | + | 1294.04i | −0.783962 | + | 1.35786i | 0.145655 | + | 0.989335i | \(0.453471\pi\) |
−0.929617 | + | 0.368527i | \(0.879862\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.35571 | − | 2.51477i | 0.00456095 | − | 0.00263327i | ||||
\(956\) | 434.501 | + | 281.782i | 0.454498 | + | 0.294751i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 593.836 | − | 969.733i | 0.619871 | − | 1.01225i | ||||
\(959\) | 14.2685 | − | 39.2025i | 0.0148785 | − | 0.0408785i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.74824 | + | 32.5999i | −0.00598152 | + | 0.0339229i | ||||
\(962\) | −253.173 | − | 755.867i | −0.263173 | − | 0.785725i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 189.891 | − | 143.280i | 0.196983 | − | 0.148630i | ||||
\(965\) | 3.75714 | + | 3.15261i | 0.00389341 | + | 0.00326696i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 40.1386 | − | 7.07751i | 0.0415083 | − | 0.00731904i | −0.152855 | − | 0.988249i | \(-0.548847\pi\) |
0.194364 | + | 0.980930i | \(0.437736\pi\) | |||||||
\(968\) | 694.946 | − | 67.5736i | 0.717919 | − | 0.0698075i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.39831 | + | 0.209426i | −0.00144156 | + | 0.000215903i | ||||
\(971\) | 1253.25i | 1.29068i | 0.763895 | + | 0.645341i | \(0.223285\pi\) | ||||
−0.763895 | + | 0.645341i | \(0.776715\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −61.6415 | −0.0633520 | ||||||||
\(974\) | 274.760 | + | 1834.54i | 0.282095 | + | 1.88351i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 601.009 | + | 62.4087i | 0.615788 | + | 0.0639434i | ||||
\(977\) | −87.2483 | − | 494.810i | −0.0893023 | − | 0.506458i | −0.996345 | − | 0.0854199i | \(-0.972777\pi\) |
0.907043 | − | 0.421039i | \(-0.138334\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 220.633 | − | 262.940i | 0.225366 | − | 0.268580i | ||||
\(980\) | −2.86528 | + | 2.16195i | −0.00292375 | + | 0.00220607i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1036.43 | − | 347.145i | 1.05543 | − | 0.353509i | ||||
\(983\) | −964.524 | − | 170.072i | −0.981204 | − | 0.173013i | −0.340035 | − | 0.940413i | \(-0.610439\pi\) |
−0.641169 | + | 0.767400i | \(0.721550\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.93550 | − | 1.06843i | −0.00298020 | − | 0.00108470i | ||||
\(986\) | −336.364 | − | 205.980i | −0.341140 | − | 0.208904i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −494.132 | − | 320.454i | −0.500133 | − | 0.324346i | ||||
\(989\) | 398.657 | + | 690.494i | 0.403091 | + | 0.698174i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −574.931 | − | 331.937i | −0.580153 | − | 0.334951i | 0.181041 | − | 0.983475i | \(-0.442053\pi\) |
−0.761194 | + | 0.648524i | \(0.775387\pi\) | |||||||
\(992\) | 1000.51 | + | 130.129i | 1.00858 | + | 0.131179i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.05491 | − | 79.4229i | 0.00206731 | − | 0.0799023i | ||||
\(995\) | −1.42904 | − | 1.70306i | −0.00143622 | − | 0.00171162i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 147.082 | − | 53.5333i | 0.147524 | − | 0.0536944i | −0.267203 | − | 0.963640i | \(-0.586099\pi\) |
0.414727 | + | 0.909946i | \(0.363877\pi\) | |||||||
\(998\) | 306.710 | − | 1509.94i | 0.307325 | − | 1.51297i | ||||
\(999\) | 0 | 0 |
(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 | 324.3.j.a.19.3 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.7.32 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.19.5 | 204 | ||
12.11 | even | 2 | 108.3.j.a.7.30 | ✓ | 204 | ||
27.4 | even | 9 | inner | 324.3.j.a.307.5 | 204 | ||
27.23 | odd | 18 | 108.3.j.a.31.30 | yes | 204 | ||
108.23 | even | 18 | 108.3.j.a.31.32 | yes | 204 | ||
108.31 | odd | 18 | inner | 324.3.j.a.307.3 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.30 | ✓ | 204 | 12.11 | even | 2 | ||
108.3.j.a.7.32 | yes | 204 | 3.2 | odd | 2 | ||
108.3.j.a.31.30 | yes | 204 | 27.23 | odd | 18 | ||
108.3.j.a.31.32 | yes | 204 | 108.23 | even | 18 | ||
324.3.j.a.19.3 | 204 | 1.1 | even | 1 | trivial | ||
324.3.j.a.19.5 | 204 | 4.3 | odd | 2 | inner | ||
324.3.j.a.307.3 | 204 | 108.31 | odd | 18 | inner | ||
324.3.j.a.307.5 | 204 | 27.4 | even | 9 | inner |