Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(25,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.q (of order \(11\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 193.5 | ||
Character | \(\chi\) | \(=\) | 804.193 |
Dual form | 804.2.q.b.25.5 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.654861 | + | 0.755750i | 0.378084 | + | 0.436332i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.69814 | + | 1.09133i | 0.759431 | + | 0.488057i | 0.862150 | − | 0.506654i | \(-0.169118\pi\) |
−0.102719 | + | 0.994710i | \(0.532754\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.693468 | + | 4.82317i | −0.262106 | + | 1.82299i | 0.254855 | + | 0.966979i | \(0.417972\pi\) |
−0.516961 | + | 0.856009i | \(0.672937\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.656414 | + | 0.421852i | 0.197916 | + | 0.127193i | 0.635845 | − | 0.771816i | \(-0.280652\pi\) |
−0.437929 | + | 0.899009i | \(0.644288\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.749561 | + | 1.64131i | 0.207891 | + | 0.455217i | 0.984641 | − | 0.174591i | \(-0.0558605\pi\) |
−0.776750 | + | 0.629809i | \(0.783133\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.287274 | + | 1.99804i | 0.0741739 | + | 0.515890i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.81748 | + | 1.41454i | −1.16841 | + | 0.343076i | −0.807695 | − | 0.589600i | \(-0.799285\pi\) |
−0.360714 | + | 0.932676i | \(0.617467\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.841566 | − | 5.85322i | −0.193069 | − | 1.34282i | −0.823827 | − | 0.566842i | \(-0.808165\pi\) |
0.630758 | − | 0.775980i | \(-0.282744\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.09924 | + | 2.63442i | −0.894527 | + | 0.574877i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.58797 | − | 5.29480i | −0.956658 | − | 1.10404i | −0.994498 | − | 0.104758i | \(-0.966593\pi\) |
0.0378397 | − | 0.999284i | \(-0.487952\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.384395 | − | 0.841709i | −0.0768791 | − | 0.168342i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.841254 | + | 0.540641i | −0.161899 | + | 0.104046i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.90421 | 0.910689 | 0.455344 | − | 0.890315i | \(-0.349516\pi\) | ||||
0.455344 | + | 0.890315i | \(0.349516\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.31097 | + | 9.43970i | −0.774272 | + | 1.69542i | −0.0572601 | + | 0.998359i | \(0.518236\pi\) |
−0.717012 | + | 0.697061i | \(0.754491\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.111046 | + | 0.772339i | 0.0193305 | + | 0.134447i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −6.44127 | + | 7.43362i | −1.08877 | + | 1.25651i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.86088 | 1.45672 | 0.728360 | − | 0.685195i | \(-0.240283\pi\) | ||||
0.728360 | + | 0.685195i | \(0.240283\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.749561 | + | 1.64131i | −0.120026 | + | 0.262820i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.14557 | − | 2.68538i | 1.42830 | − | 0.419386i | 0.525995 | − | 0.850488i | \(-0.323693\pi\) |
0.902303 | + | 0.431102i | \(0.141875\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.967308 | + | 0.284027i | −0.147513 | + | 0.0433138i | −0.354655 | − | 0.934997i | \(-0.615402\pi\) |
0.207142 | + | 0.978311i | \(0.433584\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.32189 | + | 1.52554i | −0.197056 | + | 0.227414i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.68948 | − | 3.10382i | −0.392300 | − | 0.452739i | 0.524901 | − | 0.851164i | \(-0.324102\pi\) |
−0.917201 | + | 0.398425i | \(0.869557\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −16.0657 | − | 4.71730i | −2.29509 | − | 0.673900i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.22381 | − | 2.71448i | −0.591452 | − | 0.380103i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 12.5726 | + | 3.69164i | 1.72698 | + | 0.507086i | 0.986326 | − | 0.164805i | \(-0.0526996\pi\) |
0.740650 | + | 0.671891i | \(0.234518\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.654304 | + | 1.43273i | 0.0882263 | + | 0.193189i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.87246 | − | 4.46906i | 0.512920 | − | 0.591941i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.517190 | + | 1.13249i | −0.0673324 | + | 0.147437i | −0.940306 | − | 0.340330i | \(-0.889461\pi\) |
0.872974 | + | 0.487767i | \(0.162189\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.873249 | + | 0.561203i | −0.111808 | + | 0.0718547i | −0.595350 | − | 0.803467i | \(-0.702987\pi\) |
0.483542 | + | 0.875321i | \(0.339350\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.67539 | − | 1.37282i | −0.589044 | − | 0.172959i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.518348 | + | 3.60519i | −0.0642931 | + | 0.447169i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.64682 | + | 7.32808i | 0.445530 | + | 0.895267i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.997061 | − | 6.93471i | 0.120032 | − | 0.834841i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 15.7387 | + | 4.62130i | 1.86784 | + | 0.548448i | 0.998531 | + | 0.0541797i | \(0.0172544\pi\) |
0.869310 | + | 0.494268i | \(0.164564\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.241827 | + | 0.155413i | −0.0283037 | + | 0.0181897i | −0.554716 | − | 0.832040i | \(-0.687173\pi\) |
0.526412 | + | 0.850229i | \(0.323537\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.384395 | − | 0.841709i | 0.0443862 | − | 0.0971921i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.48987 | + | 2.87346i | −0.283746 | + | 0.327461i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.73759 | − | 3.80479i | −0.195494 | − | 0.428072i | 0.786345 | − | 0.617787i | \(-0.211971\pi\) |
−0.981839 | + | 0.189715i | \(0.939244\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 12.5737 | + | 8.08062i | 1.38014 | + | 0.886964i | 0.999290 | − | 0.0376723i | \(-0.0119943\pi\) |
0.380852 | + | 0.924636i | \(0.375631\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.72447 | − | 2.85536i | −1.05477 | − | 0.309707i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.21157 | + | 3.70635i | 0.344317 | + | 0.397363i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.07902 | + | 2.39932i | −0.220376 | + | 0.254327i | −0.855162 | − | 0.518361i | \(-0.826543\pi\) |
0.634787 | + | 0.772687i | \(0.281088\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.43612 | + | 2.47707i | −0.884346 | + | 0.259667i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −9.95713 | + | 2.92368i | −1.03251 | + | 0.303171i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.95869 | − | 10.8580i | 0.508751 | − | 1.11401i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.952015 | −0.0966625 | −0.0483312 | − | 0.998831i | \(-0.515390\pi\) | ||||
−0.0483312 | + | 0.998831i | \(0.515390\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.510975 | + | 0.589697i | −0.0513549 | + | 0.0592668i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.562569 | − | 3.91275i | −0.0559777 | − | 0.389334i | −0.998479 | − | 0.0551314i | \(-0.982442\pi\) |
0.942501 | − | 0.334202i | \(-0.108467\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.06490 | + | 15.4700i | −0.696126 | + | 1.52430i | 0.148481 | + | 0.988915i | \(0.452562\pi\) |
−0.844607 | + | 0.535387i | \(0.820166\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −9.83608 | −0.959904 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.540581 | + | 0.347410i | −0.0522599 | + | 0.0335854i | −0.566510 | − | 0.824055i | \(-0.691707\pi\) |
0.514250 | + | 0.857640i | \(0.328070\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.199094 | + | 0.435955i | 0.0190697 | + | 0.0417569i | 0.918927 | − | 0.394427i | \(-0.129057\pi\) |
−0.899857 | + | 0.436184i | \(0.856330\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.80264 | + | 6.69660i | 0.550762 | + | 0.635613i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.27425 | − | 3.38956i | 0.496160 | − | 0.318863i | −0.268519 | − | 0.963274i | \(-0.586534\pi\) |
0.764679 | + | 0.644412i | \(0.222898\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.01265 | − | 13.9983i | −0.187681 | − | 1.30535i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.73128 | + | 0.508349i | −0.160057 | + | 0.0469969i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.48180 | − | 24.2165i | −0.319176 | − | 2.21992i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.31664 | − | 9.45213i | −0.392422 | − | 0.859285i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 8.01855 | + | 5.15321i | 0.723008 | + | 0.464649i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.70219 | − | 11.8390i | 0.152249 | − | 1.05891i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.22297 | + | 8.50596i | −0.108521 | + | 0.754782i | 0.860793 | + | 0.508956i | \(0.169968\pi\) |
−0.969314 | + | 0.245826i | \(0.920941\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.848106 | − | 0.545044i | −0.0746715 | − | 0.0479885i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.57733 | − | 6.43659i | −0.487294 | − | 0.562367i | 0.457847 | − | 0.889031i | \(-0.348621\pi\) |
−0.945141 | + | 0.326664i | \(0.894075\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 28.8147 | 2.49855 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.01858 | −0.173732 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.82918 | + | 2.11099i | 0.156278 | + | 0.180354i | 0.828489 | − | 0.560005i | \(-0.189201\pi\) |
−0.672211 | + | 0.740359i | \(0.734655\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.73377 | − | 1.75689i | −0.231875 | − | 0.149017i | 0.419544 | − | 0.907735i | \(-0.362190\pi\) |
−0.651420 | + | 0.758718i | \(0.725826\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.584479 | − | 4.06514i | 0.0492220 | − | 0.342347i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.200367 | + | 1.39358i | −0.0167555 | + | 0.116537i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.32803 | + | 5.35210i | 0.691605 | + | 0.444468i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −6.95567 | − | 15.2308i | −0.573694 | − | 1.25621i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.48716 | + | 10.3434i | 0.121833 | + | 0.847367i | 0.955477 | + | 0.295065i | \(0.0953414\pi\) |
−0.833644 | + | 0.552302i | \(0.813750\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.69841 | + | 2.55408i | −0.707867 | + | 0.207848i | −0.615798 | − | 0.787904i | \(-0.711166\pi\) |
−0.0920688 | + | 0.995753i | \(0.529348\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.714542 | − | 4.96975i | −0.0577673 | − | 0.401780i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −17.6224 | + | 11.3252i | −1.41547 | + | 0.909665i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.03551 | + | 1.19505i | 0.0826430 | + | 0.0953751i | 0.795565 | − | 0.605868i | \(-0.207174\pi\) |
−0.712922 | + | 0.701243i | \(0.752629\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.44333 | + | 11.9192i | 0.431684 | + | 0.945256i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 28.7193 | − | 18.4568i | 2.26340 | − | 1.45460i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 14.2474 | 1.11594 | 0.557971 | − | 0.829860i | \(-0.311580\pi\) | ||||
0.557971 | + | 0.829860i | \(0.311580\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.654304 | + | 1.43273i | −0.0509375 | + | 0.111538i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.641035 | − | 4.45850i | −0.0496048 | − | 0.345009i | −0.999476 | − | 0.0323675i | \(-0.989695\pi\) |
0.949871 | − | 0.312641i | \(-0.101214\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.38113 | − | 7.36422i | 0.490856 | − | 0.566478i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.91341 | 0.452210 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 10.2562 | − | 22.4578i | 0.779761 | − | 1.70744i | 0.0758829 | − | 0.997117i | \(-0.475822\pi\) |
0.703878 | − | 0.710321i | \(-0.251450\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.32627 | − | 1.27031i | 0.327035 | − | 0.0960263i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.19456 | + | 0.350756i | −0.0897889 | + | 0.0263644i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 13.7752 | − | 15.8974i | 1.02961 | − | 1.18823i | 0.0477008 | − | 0.998862i | \(-0.484811\pi\) |
0.981906 | − | 0.189368i | \(-0.0606440\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −14.8676 | − | 17.1581i | −1.10510 | − | 1.27535i | −0.958168 | − | 0.286207i | \(-0.907605\pi\) |
−0.146932 | − | 0.989147i | \(-0.546940\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.995986 | − | 0.292448i | −0.0736254 | − | 0.0216184i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 15.0470 | + | 9.67012i | 1.10628 | + | 0.710961i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.75898 | − | 1.10374i | −0.274884 | − | 0.0807132i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2.02422 | − | 4.43243i | −0.147240 | − | 0.322412i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.24895 | − | 6.05761i | 0.379800 | − | 0.438313i | −0.533376 | − | 0.845879i | \(-0.679077\pi\) |
0.913176 | + | 0.407565i | \(0.133622\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.74788 | + | 21.3449i | −0.701668 | + | 1.53644i | 0.136269 | + | 0.990672i | \(0.456489\pi\) |
−0.837937 | + | 0.545767i | \(0.816239\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −3.06407 | + | 1.96916i | −0.219422 | + | 0.141014i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −10.3475 | − | 3.03831i | −0.737232 | − | 0.216471i | −0.108504 | − | 0.994096i | \(-0.534606\pi\) |
−0.628728 | + | 0.777625i | \(0.716424\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.502079 | − | 3.49204i | 0.0355914 | − | 0.247544i | −0.964257 | − | 0.264970i | \(-0.914638\pi\) |
0.999848 | + | 0.0174259i | \(0.00554712\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.15003 | + | 7.55495i | −0.222186 | + | 0.532885i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −3.40091 | + | 23.6538i | −0.238697 | + | 1.66017i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 18.4611 | + | 5.42066i | 1.28938 | + | 0.378595i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.89384 | − | 3.78774i | 0.409650 | − | 0.263266i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.91678 | − | 4.19715i | 0.132586 | − | 0.290323i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −8.17700 | + | 9.43676i | −0.562928 | + | 0.649653i | −0.963846 | − | 0.266461i | \(-0.914146\pi\) |
0.400918 | + | 0.916114i | \(0.368691\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 6.81411 | + | 14.9208i | 0.466895 | + | 1.02236i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.95259 | − | 0.573332i | −0.133166 | − | 0.0391009i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −42.5398 | − | 27.3387i | −2.88779 | − | 1.85587i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −0.275816 | − | 0.0809868i | −0.0186379 | − | 0.00547258i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.93269 | − | 6.84669i | −0.399076 | − | 0.460558i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.5541 | − | 17.9504i | 1.04158 | − | 1.20205i | 0.0626089 | − | 0.998038i | \(-0.480058\pi\) |
0.978969 | − | 0.204007i | \(-0.0653966\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.887847 | − | 0.260695i | 0.0591898 | − | 0.0173797i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −26.4985 | + | 7.78065i | −1.75877 | + | 0.516420i | −0.992081 | − | 0.125603i | \(-0.959913\pi\) |
−0.766685 | + | 0.642023i | \(0.778095\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.05444 | − | 6.68830i | 0.201843 | − | 0.441975i | −0.781459 | − | 0.623957i | \(-0.785524\pi\) |
0.983302 | + | 0.181982i | \(0.0582512\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −3.80213 | −0.250162 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.809277 | − | 0.933956i | 0.0530175 | − | 0.0611855i | −0.728621 | − | 0.684917i | \(-0.759839\pi\) |
0.781639 | + | 0.623731i | \(0.214384\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.17982 | − | 8.20582i | −0.0769629 | − | 0.535289i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.73759 | − | 3.80479i | 0.112869 | − | 0.247148i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 8.34297 | 0.539662 | 0.269831 | − | 0.962908i | \(-0.413032\pi\) | ||||
0.269831 | + | 0.962908i | \(0.413032\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.3678 | − | 13.0896i | 1.31201 | − | 0.843176i | 0.317542 | − | 0.948244i | \(-0.397142\pi\) |
0.994465 | + | 0.105068i | \(0.0335061\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.415415 | − | 0.909632i | −0.0266489 | − | 0.0583529i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −22.1336 | − | 25.5435i | −1.41406 | − | 1.63192i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.97615 | − | 5.76862i | 0.571139 | − | 0.367048i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.12709 | + | 14.7942i | 0.134799 | + | 0.937547i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −11.4967 | + | 3.37573i | −0.725664 | + | 0.213074i | −0.623645 | − | 0.781708i | \(-0.714349\pi\) |
−0.102020 | + | 0.994782i | \(0.532531\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.777988 | − | 5.41102i | −0.0489117 | − | 0.340188i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.21023 | − | 9.21913i | −0.263655 | − | 0.577324i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 12.3112 | + | 7.91193i | 0.767952 | + | 0.493533i | 0.865015 | − | 0.501745i | \(-0.167309\pi\) |
−0.0970634 | + | 0.995278i | \(0.530945\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.14473 | + | 42.7375i | −0.381815 | + | 2.65558i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.697942 | + | 4.85429i | −0.0432015 | + | 0.300473i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −9.11311 | − | 5.85664i | −0.561939 | − | 0.361136i | 0.228626 | − | 0.973514i | \(-0.426577\pi\) |
−0.790565 | + | 0.612378i | \(0.790213\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 17.3212 | + | 19.9897i | 1.06403 | + | 1.22796i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.17475 | −0.194292 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.15339 | −0.0703235 | −0.0351617 | − | 0.999382i | \(-0.511195\pi\) | ||||
−0.0351617 | + | 0.999382i | \(0.511195\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.00442 | − | 4.62134i | −0.243251 | − | 0.280727i | 0.620975 | − | 0.783830i | \(-0.286737\pi\) |
−0.864226 | + | 0.503104i | \(0.832191\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −7.39653 | − | 4.75346i | −0.447658 | − | 0.287692i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.102754 | − | 0.714667i | 0.00619628 | − | 0.0430961i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.484910 | − | 3.37262i | 0.0291354 | − | 0.202641i | −0.970054 | − | 0.242888i | \(-0.921905\pi\) |
0.999190 | + | 0.0402467i | \(0.0128144\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −8.73010 | − | 5.61050i | −0.522658 | − | 0.335892i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.02477 | − | 4.43362i | −0.120787 | − | 0.264488i | 0.839574 | − | 0.543245i | \(-0.182805\pi\) |
−0.960361 | + | 0.278758i | \(0.910077\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.06644 | − | 21.3276i | −0.182281 | − | 1.26779i | −0.851352 | − | 0.524594i | \(-0.824217\pi\) |
0.669071 | − | 0.743198i | \(-0.266692\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 11.4532 | − | 3.36296i | 0.678428 | − | 0.199204i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.60990 | + | 45.9729i | 0.390170 | + | 2.71369i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.90584 | − | 4.43811i | 0.406226 | − | 0.261066i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.623437 | − | 0.719485i | −0.0365465 | − | 0.0421770i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −0.249125 | − | 0.545507i | −0.0145540 | − | 0.0318688i | 0.902215 | − | 0.431286i | \(-0.141940\pi\) |
−0.916769 | + | 0.399417i | \(0.869213\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.11417 | + | 1.35870i | −0.123092 | + | 0.0791064i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.780281 | −0.0452765 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 5.25144 | − | 11.4991i | 0.303699 | − | 0.665008i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.699116 | − | 4.86246i | −0.0402964 | − | 0.280267i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2.58866 | − | 2.98747i | 0.148715 | − | 0.171626i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −2.09535 | −0.119980 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.89730 | − | 6.34419i | 0.165357 | − | 0.362082i | −0.808755 | − | 0.588145i | \(-0.799858\pi\) |
0.974113 | + | 0.226063i | \(0.0725856\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −16.3180 | + | 4.79139i | −0.928296 | + | 0.272572i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −13.4896 | + | 3.96090i | −0.764924 | + | 0.224602i | −0.640845 | − | 0.767670i | \(-0.721416\pi\) |
−0.124079 | + | 0.992272i | \(0.539598\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −19.9896 | + | 23.0692i | −1.12988 | + | 1.30395i | −0.182728 | + | 0.983163i | \(0.558493\pi\) |
−0.947151 | + | 0.320787i | \(0.896053\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −6.44127 | − | 7.43362i | −0.362924 | − | 0.418837i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 26.4579 | + | 7.76875i | 1.48603 | + | 0.436336i | 0.921271 | − | 0.388922i | \(-0.127152\pi\) |
0.564755 | + | 0.825259i | \(0.308971\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.21919 | + | 2.06885i | 0.180240 | + | 0.115833i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.616560 | − | 0.181038i | −0.0344130 | − | 0.0101046i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 12.3338 | + | 27.0073i | 0.686273 | + | 1.50273i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.09338 | − | 1.26182i | 0.0606496 | − | 0.0699934i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.199094 | + | 0.435955i | −0.0110099 | + | 0.0241084i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 16.8353 | − | 10.8194i | 0.928162 | − | 0.596493i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.0585 | − | 4.42157i | −0.827690 | − | 0.243032i | −0.159665 | − | 0.987171i | \(-0.551042\pi\) |
−0.668024 | + | 0.744140i | \(0.732860\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.26103 | + | 8.77069i | −0.0691042 | + | 0.480631i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −1.80453 | + | 16.4240i | −0.0985920 | + | 0.897337i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.18286 | + | 15.1821i | −0.118908 | + | 0.827024i | 0.839854 | + | 0.542813i | \(0.182641\pi\) |
−0.958762 | + | 0.284211i | \(0.908268\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.01556 | + | 1.76633i | 0.326720 | + | 0.0959337i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −6.81193 | + | 4.37776i | −0.368887 | + | 0.237069i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.7238 | − | 43.1891i | 1.06499 | − | 2.33199i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 9.26119 | − | 10.6880i | 0.498606 | − | 0.575422i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.78288 | − | 19.2318i | −0.471490 | − | 1.03242i | −0.984716 | − | 0.174165i | \(-0.944277\pi\) |
0.513227 | − | 0.858253i | \(-0.328450\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.531914 | + | 0.156184i | 0.0284727 | + | 0.00836034i | 0.295938 | − | 0.955207i | \(-0.404368\pi\) |
−0.267465 | + | 0.963568i | \(0.586186\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.51793 | − | 0.975514i | −0.0810211 | − | 0.0520691i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.65818 | + | 1.66139i | 0.301154 | + | 0.0884269i | 0.428819 | − | 0.903391i | \(-0.358930\pi\) |
−0.127664 | + | 0.991817i | \(0.540748\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 21.6832 | + | 25.0237i | 1.15082 | + | 1.32812i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 16.0215 | − | 18.4898i | 0.847947 | − | 0.978583i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −17.5469 | + | 5.15225i | −0.926092 | + | 0.271925i | −0.709800 | − | 0.704403i | \(-0.751215\pi\) |
−0.216292 | + | 0.976329i | \(0.569396\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.3216 | + | 4.49883i | −0.806401 | + | 0.236781i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 4.31664 | − | 9.45213i | 0.226565 | − | 0.496108i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.580261 | −0.0303723 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.5323 | − | 20.2334i | 0.915180 | − | 1.05617i | −0.0830404 | − | 0.996546i | \(-0.526463\pi\) |
0.998221 | − | 0.0596282i | \(-0.0189915\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.35650 | + | 9.43465i | 0.0706165 | + | 0.491148i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −26.5241 | + | 58.0797i | −1.37706 | + | 3.01535i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −18.1521 | −0.939882 | −0.469941 | − | 0.882698i | \(-0.655725\pi\) | ||||
−0.469941 | + | 0.882698i | \(0.655725\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 10.0620 | − | 6.46647i | 0.519601 | − | 0.333927i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 3.67600 | + | 8.04933i | 0.189324 | + | 0.414561i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.595678 | + | 0.687449i | 0.0305979 | + | 0.0353119i | 0.770842 | − | 0.637026i | \(-0.219836\pi\) |
−0.740244 | + | 0.672338i | \(0.765290\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.22925 | + | 4.64596i | −0.370366 | + | 0.238020i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.30968 | + | 16.0642i | 0.118019 | + | 0.820843i | 0.959732 | + | 0.280917i | \(0.0906386\pi\) |
−0.841713 | + | 0.539926i | \(0.818452\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.36402 | + | 2.16227i | −0.375305 | + | 0.110200i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.143474 | − | 0.997884i | −0.00729319 | − | 0.0507253i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.82491 | − | 3.99599i | −0.0925264 | − | 0.202605i | 0.857710 | − | 0.514133i | \(-0.171886\pi\) |
−0.950237 | + | 0.311529i | \(0.899159\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 29.5921 | + | 19.0177i | 1.49654 | + | 0.961767i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.21207 | − | 8.43014i | 0.0611409 | − | 0.425244i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.20160 | − | 8.35734i | 0.0604593 | − | 0.420503i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.37733 | − | 6.02645i | −0.470635 | − | 0.302459i | 0.283741 | − | 0.958901i | \(-0.408424\pi\) |
−0.754376 | + | 0.656442i | \(0.772061\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 18.8696 | + | 21.7767i | 0.944663 | + | 1.09020i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.76059 | 0.0879196 | 0.0439598 | − | 0.999033i | \(-0.486003\pi\) | ||||
0.0439598 | + | 0.999033i | \(0.486003\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −18.7248 | −0.932749 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.32189 | − | 1.52554i | −0.0656852 | − | 0.0758048i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.81640 | + | 3.73797i | 0.288308 | + | 0.185285i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.41312 | + | 16.7837i | −0.119321 | + | 0.829898i | 0.838985 | + | 0.544155i | \(0.183150\pi\) |
−0.958306 | + | 0.285743i | \(0.907760\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.397519 | + | 2.76481i | −0.0196082 | + | 0.136378i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −5.10353 | − | 3.27984i | −0.251128 | − | 0.161390i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.5333 | + | 27.4440i | 0.615234 | + | 1.34717i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.462471 | − | 3.21656i | −0.0226473 | − | 0.157516i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −38.2174 | + | 11.2217i | −1.86704 | + | 0.548214i | −0.868417 | + | 0.495834i | \(0.834862\pi\) |
−0.998627 | + | 0.0523795i | \(0.983319\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.42240 | + | 16.8482i | 0.118061 | + | 0.821130i | 0.959687 | + | 0.281070i | \(0.0906894\pi\) |
−0.841627 | + | 0.540060i | \(0.818402\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.45498 | − | 2.22038i | 0.167987 | − | 0.107959i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.04245 | + | 3.51117i | 0.147580 | + | 0.170317i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.10121 | − | 4.60101i | −0.101685 | − | 0.222658i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.18441 | + | 0.761175i | −0.0571839 | + | 0.0367499i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −16.7065 | −0.804725 | −0.402363 | − | 0.915480i | \(-0.631811\pi\) | ||||
−0.402363 | + | 0.915480i | \(0.631811\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.75990 | − | 3.85364i | 0.0845754 | − | 0.185194i | −0.862619 | − | 0.505854i | \(-0.831177\pi\) |
0.947194 | + | 0.320660i | \(0.103905\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.40885 | + | 9.79878i | 0.0675493 | + | 0.469816i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −27.1306 | + | 31.3103i | −1.29783 | + | 1.49778i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −22.0099 | −1.05048 | −0.525239 | − | 0.850955i | \(-0.676024\pi\) | ||||
−0.525239 | + | 0.850955i | \(0.676024\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.95567 | − | 15.2308i | 0.331222 | − | 0.725275i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 17.8577 | − | 5.24351i | 0.848447 | − | 0.249127i | 0.171524 | − | 0.985180i | \(-0.445131\pi\) |
0.676923 | + | 0.736053i | \(0.263313\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.14890 | + | 1.80548i | −0.291486 | + | 0.0855880i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.84316 | + | 7.89743i | −0.323671 | + | 0.373536i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −15.1683 | − | 17.5051i | −0.715835 | − | 0.826117i | 0.274965 | − | 0.961454i | \(-0.411334\pi\) |
−0.990800 | + | 0.135337i | \(0.956788\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.13611 | + | 2.09535i | 0.336026 | + | 0.0986663i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −7.62649 | − | 4.90125i | −0.358324 | − | 0.230281i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −17.0290 | − | 5.00016i | −0.798331 | − | 0.234411i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.50451 | + | 18.6223i | 0.397824 | + | 0.871114i | 0.997486 | + | 0.0708603i | \(0.0225744\pi\) |
−0.599662 | + | 0.800253i | \(0.704698\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.28796 | − | 3.79451i | 0.153469 | − | 0.177113i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 5.85350 | − | 12.8174i | 0.272624 | − | 0.596964i | −0.722954 | − | 0.690896i | \(-0.757216\pi\) |
0.995579 | + | 0.0939317i | \(0.0299435\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.2181 | − | 7.20943i | 0.521349 | − | 0.335051i | −0.253356 | − | 0.967373i | \(-0.581535\pi\) |
0.774705 | + | 0.632322i | \(0.217898\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −20.0993 | − | 5.90168i | −0.932082 | − | 0.273684i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.11098 | + | 7.72707i | −0.0514102 | + | 0.357566i | 0.947836 | + | 0.318757i | \(0.103265\pi\) |
−0.999247 | + | 0.0388089i | \(0.987644\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −37.8735 | + | 12.5074i | −1.74884 | + | 0.577540i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.225039 | + | 1.56518i | −0.0103692 | + | 0.0721196i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.754772 | − | 0.221621i | −0.0347044 | − | 0.0101901i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.60321 | + | 2.95831i | −0.211210 | + | 0.135736i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.44333 | + | 11.9192i | −0.249233 | + | 0.545744i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 19.6750 | − | 22.7062i | 0.898975 | − | 1.03747i | −0.100121 | − | 0.994975i | \(-0.531923\pi\) |
0.999097 | − | 0.0424974i | \(-0.0135314\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.64177 | + | 14.5434i | 0.302839 | + | 0.663124i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 32.7559 | + | 9.61800i | 1.49044 | + | 0.437634i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.61665 | − | 1.03896i | −0.0734085 | − | 0.0471768i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 26.5014 | + | 7.78152i | 1.20089 | + | 0.352614i | 0.820195 | − | 0.572084i | \(-0.193865\pi\) |
0.380700 | + | 0.924699i | \(0.375683\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 9.33006 | + | 10.7675i | 0.421920 | + | 0.486922i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.91167 | − | 4.51430i | 0.176531 | − | 0.203728i | −0.660588 | − | 0.750749i | \(-0.729693\pi\) |
0.837119 | + | 0.547021i | \(0.184238\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −23.6259 | + | 6.93719i | −1.06406 | + | 0.312435i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.51126 | + | 0.443746i | −0.0679260 | + | 0.0199449i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −33.2036 | + | 72.7058i | −1.48939 | + | 3.26130i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.47258 | 0.155454 | 0.0777269 | − | 0.996975i | \(-0.475234\pi\) | ||||
0.0777269 | + | 0.996975i | \(0.475234\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.94972 | − | 3.40416i | 0.131784 | − | 0.152086i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −5.95885 | − | 41.4447i | −0.265692 | − | 1.84793i | −0.487863 | − | 0.872920i | \(-0.662223\pi\) |
0.222171 | − | 0.975008i | \(-0.428686\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.31478 | − | 7.25835i | 0.147506 | − | 0.322992i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.74426 | 0.432758 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 17.8823 | − | 11.4923i | 0.792621 | − | 0.509387i | −0.0805792 | − | 0.996748i | \(-0.525677\pi\) |
0.873200 | + | 0.487362i | \(0.162041\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.581883 | − | 1.27415i | −0.0257410 | − | 0.0563649i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.87246 | + | 4.46906i | 0.170973 | + | 0.197314i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −28.8800 | + | 18.5601i | −1.27261 | + | 0.817854i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.456058 | − | 3.17195i | −0.0200574 | − | 0.139502i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 23.6889 | − | 6.95567i | 1.03983 | − | 0.305320i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.96176 | − | 20.5995i | −0.129757 | − | 0.902479i | −0.945860 | − | 0.324574i | \(-0.894779\pi\) |
0.816103 | − | 0.577906i | \(-0.196130\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.04314 | + | 13.2326i | 0.264248 | + | 0.578623i | 0.994521 | − | 0.104532i | \(-0.0333346\pi\) |
−0.730273 | + | 0.683155i | \(0.760607\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3.79314 | + | 2.43770i | 0.165546 | + | 0.106390i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 7.41516 | − | 51.5735i | 0.323009 | − | 2.24658i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.71220 | + | 25.8189i | −0.161400 | + | 1.12256i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.04736 | − | 0.673095i | −0.0454514 | − | 0.0292098i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 11.2627 | + | 12.9979i | 0.487842 | + | 0.563000i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.29712 | −0.0560794 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 21.0353 | 0.907741 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −8.55572 | − | 9.87382i | −0.368521 | − | 0.425296i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.32937 | + | 0.854337i | 0.0571543 | + | 0.0367308i | 0.568906 | − | 0.822403i | \(-0.307367\pi\) |
−0.511752 | + | 0.859133i | \(0.671003\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 3.23104 | − | 22.4724i | 0.138657 | − | 0.964382i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.137680 | + | 0.957589i | −0.00589758 | + | 0.0410186i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.7454 | + | 6.90563i | 0.459439 | + | 0.295264i | 0.749813 | − | 0.661650i | \(-0.230143\pi\) |
−0.290374 | + | 0.956913i | \(0.593780\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.431215 | − | 0.944228i | −0.0184038 | − | 0.0402987i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −4.12722 | − | 28.7054i | −0.175825 | − | 1.22289i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 19.5561 | − | 5.74219i | 0.831611 | − | 0.244183i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.54550 | + | 17.7043i | 0.108050 | + | 0.751507i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −17.6492 | + | 11.3425i | −0.747821 | + | 0.480595i | −0.858214 | − | 0.513293i | \(-0.828426\pi\) |
0.110393 | + | 0.993888i | \(0.464789\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.19123 | − | 1.37476i | −0.0503838 | − | 0.0581460i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.62746 | − | 3.56364i | −0.0687115 | − | 0.150457i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 12.7710 | − | 8.20746i | 0.538236 | − | 0.345903i | −0.243113 | − | 0.969998i | \(-0.578169\pi\) |
0.781348 | + | 0.624095i | \(0.214532\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 12.6555 | 0.532422 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.02422 | − | 4.43243i | 0.0850093 | − | 0.186144i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −0.609586 | − | 4.23976i | −0.0255552 | − | 0.177740i | 0.973046 | − | 0.230610i | \(-0.0740722\pi\) |
−0.998601 | + | 0.0528700i | \(0.983163\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.58639 | + | 8.75516i | −0.317481 | + | 0.366392i | −0.891950 | − | 0.452134i | \(-0.850663\pi\) |
0.574470 | + | 0.818526i | \(0.305208\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 8.01536 | 0.334847 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.69308 | + | 5.89703i | −0.112309 | + | 0.245923i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.75241 | + | 0.808181i | −0.114584 | + | 0.0336450i | −0.338522 | − | 0.940958i | \(-0.609927\pi\) |
0.223938 | + | 0.974603i | \(0.428109\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −22.5149 | + | 6.61097i | −0.935687 | + | 0.274743i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −47.6937 | + | 55.0415i | −1.97867 | + | 2.28350i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6.69549 | + | 7.72700i | 0.277299 | + | 0.320020i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −3.49472 | − | 1.02614i | −0.144489 | − | 0.0424258i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −29.7151 | − | 19.0967i | −1.22647 | − | 0.788207i | −0.243135 | − | 0.969992i | \(-0.578176\pi\) |
−0.983338 | + | 0.181786i | \(0.941812\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 58.8806 | + | 17.2889i | 2.42613 | + | 0.712377i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −4.48000 | − | 9.80983i | −0.184283 | − | 0.403522i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 8.67864 | − | 10.0157i | 0.356389 | − | 0.411295i | −0.549038 | − | 0.835798i | \(-0.685006\pi\) |
0.905427 | + | 0.424503i | \(0.139551\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 20.5155 | − | 44.9227i | 0.841054 | − | 1.84165i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.96790 | − | 1.90735i | 0.121468 | − | 0.0780627i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 28.1855 | + | 8.27600i | 1.15163 | + | 0.338148i | 0.801174 | − | 0.598432i | \(-0.204209\pi\) |
0.350454 | + | 0.936580i | \(0.386027\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.67780 | − | 32.5348i | 0.190811 | − | 1.32712i | −0.639056 | − | 0.769160i | \(-0.720675\pi\) |
0.829867 | − | 0.557961i | \(-0.188416\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −7.77248 | + | 2.56680i | −0.316520 | + | 0.104528i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 2.98511 | − | 20.7619i | 0.121362 | − | 0.844092i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −16.0373 | − | 4.70898i | −0.650935 | − | 0.191132i | −0.0604384 | − | 0.998172i | \(-0.519250\pi\) |
−0.590496 | + | 0.807040i | \(0.701068\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −20.1035 | + | 12.9197i | −0.814635 | + | 0.523534i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.07841 | − | 6.74077i | 0.124539 | − | 0.272702i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.11279 | − | 7.05454i | 0.246893 | − | 0.284930i | −0.618754 | − | 0.785585i | \(-0.712362\pi\) |
0.865647 | + | 0.500655i | \(0.166907\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 7.99277 | + | 17.5017i | 0.322300 | + | 0.705738i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.5246 | − | 7.49469i | −1.02758 | − | 0.301725i | −0.275854 | − | 0.961200i | \(-0.588961\pi\) |
−0.751727 | + | 0.659474i | \(0.770779\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.6915 | − | 8.79900i | −0.550308 | − | 0.353662i | 0.235750 | − | 0.971814i | \(-0.424245\pi\) |
−0.786059 | + | 0.618152i | \(0.787882\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.72223 | + | 1.97383i | 0.269754 | + | 0.0792069i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −10.1306 | − | 11.6913i | −0.405873 | − | 0.468403i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.7810 | − | 14.7501i | 0.511240 | − | 0.590002i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.42722 | − | 1.29995i | 0.176806 | − | 0.0519149i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −42.6871 | + | 12.5340i | −1.70204 | + | 0.499765i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.1424 | − | 39.7262i | 0.722236 | − | 1.58148i | −0.0885083 | − | 0.996075i | \(-0.528210\pi\) |
0.810744 | − | 0.585401i | \(-0.199063\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −12.4866 | −0.496299 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −11.3596 | + | 13.1096i | −0.450791 | + | 0.520240i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.29963 | − | 29.9046i | −0.170358 | − | 1.18486i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.81411 | + | 14.9208i | −0.269562 | + | 0.590259i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 25.9495 | 1.02495 | 0.512473 | − | 0.858704i | \(-0.328730\pi\) | ||||
0.512473 | + | 0.858704i | \(0.328730\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.6379 | − | 12.6205i | 0.774442 | − | 0.497704i | −0.0927426 | − | 0.995690i | \(-0.529563\pi\) |
0.867185 | + | 0.497986i | \(0.165927\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.845379 | − | 1.85112i | −0.0332868 | − | 0.0728879i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −20.8555 | − | 24.0685i | −0.819915 | − | 0.946232i | 0.179380 | − | 0.983780i | \(-0.442591\pi\) |
−0.999295 | + | 0.0375477i | \(0.988045\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.817232 | + | 0.525203i | −0.0320792 | + | 0.0206160i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −7.19645 | − | 50.0524i | −0.282051 | − | 1.96171i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 29.8833 | − | 8.77452i | 1.16942 | − | 0.343374i | 0.361335 | − | 0.932436i | \(-0.382321\pi\) |
0.808088 | + | 0.589062i | \(0.200503\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.44666 | − | 17.0169i | −0.0955990 | − | 0.664906i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.119415 | − | 0.261483i | −0.00465883 | − | 0.0102014i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −8.45305 | − | 5.43244i | −0.329284 | − | 0.211618i | 0.365544 | − | 0.930794i | \(-0.380883\pi\) |
−0.694828 | + | 0.719176i | \(0.744519\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.67476 | − | 25.5585i | 0.142932 | − | 0.994112i | −0.784502 | − | 0.620126i | \(-0.787082\pi\) |
0.927434 | − | 0.373986i | \(-0.122009\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.28930 | − | 8.96725i | 0.0500721 | − | 0.348259i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 48.9314 | + | 31.4463i | 1.89748 | + | 1.21943i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −22.5004 | − | 25.9668i | −0.871218 | − | 1.00544i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 23.7517 | 0.918295 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.809957 | −0.0312681 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.3837 | + | 15.4457i | 0.515905 | + | 0.595386i | 0.952601 | − | 0.304223i | \(-0.0983968\pi\) |
−0.436696 | + | 0.899609i | \(0.643851\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.778436 | + | 0.500271i | 0.0299620 | + | 0.0192554i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −6.53198 | + | 45.4309i | −0.251044 | + | 1.74605i | 0.340925 | + | 0.940090i | \(0.389260\pi\) |
−0.591969 | + | 0.805960i | \(0.701649\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.660192 | − | 4.59173i | 0.0253358 | − | 0.176215i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −23.2330 | − | 14.9310i | −0.890292 | − | 0.572156i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 10.4938 | + | 22.9783i | 0.401535 | + | 0.879240i | 0.997112 | + | 0.0759416i | \(0.0241963\pi\) |
−0.595577 | + | 0.803298i | \(0.703076\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.802425 | + | 5.58099i | 0.0306591 | + | 0.213239i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.05491 | − | 2.07151i | 0.269162 | − | 0.0790330i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.36479 | + | 23.4026i | 0.128188 | + | 0.891568i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.26787 | + | 5.95610i | −0.352566 | + | 0.226581i | −0.704921 | − | 0.709286i | \(-0.749017\pi\) |
0.352355 | + | 0.935867i | \(0.385381\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.48987 | − | 2.87346i | −0.0945822 | − | 0.109154i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.72498 | − | 5.96687i | −0.103364 | − | 0.226336i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −40.2600 | + | 25.8735i | −1.52496 | + | 0.980029i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.23580 | 0.0467423 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.94442 | + | 4.25768i | −0.0734395 | + | 0.160810i | −0.942791 | − | 0.333384i | \(-0.891809\pi\) |
0.869352 | + | 0.494194i | \(0.164537\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.45702 | − | 51.8647i | −0.281247 | − | 1.95611i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 5.42893 | − | 6.26532i | 0.204465 | − | 0.235965i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 19.2620 | 0.724423 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.854364 | + | 1.87080i | −0.0320863 | + | 0.0702592i | −0.924997 | − | 0.379976i | \(-0.875932\pi\) |
0.892910 | + | 0.450235i | \(0.148660\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.01335 | − | 1.17842i | 0.150512 | − | 0.0441944i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 69.7599 | − | 20.4834i | 2.61253 | − | 0.767108i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.86111 | + | 2.14783i | −0.0696014 | + | 0.0803243i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 5.46348 | + | 6.30519i | 0.204037 | + | 0.235472i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.58930 | − | 2.81567i | −0.357621 | − | 0.105007i | 0.0979867 | − | 0.995188i | \(-0.468760\pi\) |
−0.455607 | + | 0.890181i | \(0.650578\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −69.7151 | − | 44.8032i | −2.59633 | − | 1.66856i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 23.2306 | + | 6.82111i | 0.863954 | + | 0.253680i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.88516 | − | 4.12791i | −0.0700129 | − | 0.153307i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.47923 | − | 1.70712i | 0.0548615 | − | 0.0633136i | −0.727655 | − | 0.685943i | \(-0.759390\pi\) |
0.782517 | + | 0.622629i | \(0.213935\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 4.25822 | − | 2.73659i | 0.157496 | − | 0.101216i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −18.6844 | − | 5.48623i | −0.690124 | − | 0.202639i | −0.0821785 | − | 0.996618i | \(-0.526188\pi\) |
−0.607945 | + | 0.793979i | \(0.708006\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 4.81009 | − | 33.4549i | 0.177423 | − | 1.23400i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.697539 | + | 6.34867i | −0.0256942 | + | 0.233856i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.93100 | + | 41.2510i | −0.218175 | + | 1.51744i | 0.526592 | + | 0.850118i | \(0.323470\pi\) |
−0.744767 | + | 0.667325i | \(0.767439\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 10.2378 | + | 3.00608i | 0.376093 | + | 0.110431i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −23.3711 | + | 15.0197i | −0.857404 | + | 0.551020i | −0.893876 | − | 0.448314i | \(-0.852025\pi\) |
0.0364716 | + | 0.999335i | \(0.488388\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −8.76267 | + | 19.1876i | −0.321039 | + | 0.702978i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −9.78780 | + | 11.2957i | −0.358117 | + | 0.413289i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.30074 | − | 2.84823i | −0.0475282 | − | 0.104072i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 37.2009 | + | 10.9232i | 1.35748 | + | 0.398592i | 0.877873 | − | 0.478893i | \(-0.158962\pi\) |
0.479605 | + | 0.877484i | \(0.340780\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −10.0799 | − | 6.47798i | −0.367333 | − | 0.236071i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −17.5584 | − | 5.15563i | −0.639017 | − | 0.187632i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.57616 | − | 2.97305i | −0.0936322 | − | 0.108057i | 0.707000 | − | 0.707214i | \(-0.250048\pi\) |
−0.800632 | + | 0.599156i | \(0.795503\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 3.57991 | − | 4.13143i | 0.129942 | − | 0.149961i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −34.3144 | + | 10.0756i | −1.24390 | + | 0.365241i | −0.836478 | − | 0.548000i | \(-0.815389\pi\) |
−0.407419 | + | 0.913241i | \(0.633571\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.24075 | + | 0.657944i | −0.0811206 | + | 0.0238192i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.21023 | − | 9.21913i | 0.152221 | − | 0.333318i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.24643 | −0.0811138 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 20.8718 | − | 24.0873i | 0.752656 | − | 0.868612i | −0.242167 | − | 0.970235i | \(-0.577858\pi\) |
0.994823 | + | 0.101623i | \(0.0324036\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.08269 | + | 14.4854i | 0.0750061 | + | 0.521679i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −5.44363 | + | 11.9199i | −0.195794 | + | 0.428729i | −0.981910 | − | 0.189351i | \(-0.939362\pi\) |
0.786116 | + | 0.618079i | \(0.212089\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.60259 | 0.344935 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −36.3228 | + | 23.3433i | −1.30307 | + | 0.837435i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −23.4147 | − | 51.2711i | −0.838920 | − | 1.83698i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.38160 | + | 9.67289i | 0.299917 | + | 0.346123i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −4.12568 | + | 2.65142i | −0.147440 | + | 0.0947538i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.454259 | + | 3.15944i | 0.0162132 | + | 0.112765i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.0532 | + | 3.83278i | −0.465298 | + | 0.136624i | −0.505974 | − | 0.862549i | \(-0.668867\pi\) |
0.0406763 | + | 0.999172i | \(0.487049\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.54167 | − | 10.7225i | −0.0548847 | − | 0.381732i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.6909 | + | 27.7892i | 0.451236 | + | 0.988069i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.57566 | − | 1.01262i | −0.0559534 | − | 0.0359591i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.76425 | + | 26.1810i | −0.133504 | + | 0.928543i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 5.38841 | − | 37.4772i | 0.190867 | − | 1.32751i | −0.638851 | − | 0.769330i | \(-0.720590\pi\) |
0.829719 | − | 0.558182i | \(-0.188501\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 17.3470 | + | 11.1482i | 0.613691 | + | 0.394396i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.07902 | − | 2.39932i | −0.0734585 | − | 0.0847757i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.224300 | −0.00791536 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 68.9119 | 2.42882 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.755310 | − | 0.871674i | −0.0265882 | − | 0.0306844i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 9.99157 | + | 6.42119i | 0.351285 | + | 0.225757i | 0.704368 | − | 0.709835i | \(-0.251230\pi\) |
−0.353083 | + | 0.935592i | \(0.614867\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.95152 | − | 41.3938i | 0.208986 | − | 1.45353i | −0.567488 | − | 0.823382i | \(-0.692085\pi\) |
0.776474 | − | 0.630149i | \(-0.217006\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0.870243 | − | 6.05267i | 0.0305208 | − | 0.212277i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 24.1941 | + | 15.5486i | 0.847481 | + | 0.544643i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.47653 | + | 5.42284i | 0.0866428 | + | 0.189721i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.25127 | − | 8.70277i | −0.0437229 | − | 0.304100i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −17.2893 | + | 5.07660i | −0.603401 | + | 0.177175i | −0.569143 | − | 0.822239i | \(-0.692725\pi\) |
−0.0342579 | + | 0.999413i | \(0.510907\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.67887 | + | 18.6319i | 0.0933794 | + | 0.649468i | 0.981727 | + | 0.190296i | \(0.0609448\pi\) |
−0.888347 | + | 0.459172i | \(0.848146\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.607399 | − | 0.390351i | 0.0211469 | − | 0.0135903i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 18.2745 | + | 21.0899i | 0.635468 | + | 0.733369i | 0.978567 | − | 0.205930i | \(-0.0660220\pi\) |
−0.343099 | + | 0.939299i | \(0.611477\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 15.0681 | + | 32.9944i | 0.523335 | + | 1.14594i | 0.968161 | + | 0.250328i | \(0.0805383\pi\) |
−0.444826 | + | 0.895617i | \(0.646734\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 2.86641 | − | 1.84213i | 0.0994345 | − | 0.0639027i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 84.0687 | 2.91281 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.77711 | − | 8.27072i | 0.130712 | − | 0.286220i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.47687 | − | 10.2719i | −0.0510481 | − | 0.355048i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 3.56027 | − | 4.10877i | 0.122914 | − | 0.141851i | −0.690957 | − | 0.722896i | \(-0.742811\pi\) |
0.813871 | + | 0.581045i | \(0.197356\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.94874 | −0.170646 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 2.02477 | − | 4.43362i | 0.0697367 | − | 0.152702i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 18.8728 | − | 5.54156i | 0.649245 | − | 0.190636i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 48.5827 | − | 14.2652i | 1.66932 | − | 0.490157i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 14.1102 | − | 16.2840i | 0.484261 | − | 0.558867i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −40.6534 | − | 46.9166i | −1.39358 | − | 1.60828i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 25.2506 | + | 7.41424i | 0.864564 | + | 0.253859i | 0.683802 | − | 0.729668i | \(-0.260325\pi\) |
0.180762 | + | 0.983527i | \(0.442144\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 10.0418 | + | 6.45347i | 0.343422 | + | 0.220704i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −46.5540 | − | 13.6695i | −1.59025 | − | 0.466940i | −0.637440 | − | 0.770500i | \(-0.720007\pi\) |
−0.952813 | + | 0.303559i | \(0.901825\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.14732 | + | 17.8401i | 0.277983 | + | 0.608698i | 0.996197 | − | 0.0871239i | \(-0.0277676\pi\) |
−0.718214 | + | 0.695822i | \(0.755040\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −30.4154 | + | 35.1013i | −1.03656 | + | 1.19625i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 16.7708 | − | 36.7229i | 0.570884 | − | 1.25006i | −0.375442 | − | 0.926846i | \(-0.622509\pi\) |
0.946326 | − | 0.323215i | \(-0.104764\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 41.9252 | − | 26.9437i | 1.42550 | − | 0.916113i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 7.87647 | + | 2.31274i | 0.267499 | + | 0.0785447i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.464479 | − | 3.23052i | 0.0157564 | − | 0.109588i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −9.29413 | + | 11.4784i | −0.314920 | + | 0.388931i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.135486 | − | 0.942325i | 0.00458550 | − | 0.0318929i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 55.9212 | + | 16.4199i | 1.89048 | + | 0.555096i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.69531 | − | 4.30281i | 0.226085 | − | 0.145296i | −0.422695 | − | 0.906272i | \(-0.638916\pi\) |
0.648780 | + | 0.760976i | \(0.275280\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0.249125 | − | 0.545507i | 0.00840276 | − | 0.0183995i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −23.6606 | + | 27.3058i | −0.797145 | + | 0.919955i | −0.998221 | − | 0.0596210i | \(-0.981011\pi\) |
0.201076 | + | 0.979576i | \(0.435556\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.73309 | + | 8.17432i | 0.125628 | + | 0.275088i | 0.961987 | − | 0.273095i | \(-0.0880472\pi\) |
−0.836359 | + | 0.548182i | \(0.815320\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2.41132 | − | 0.708029i | −0.0810558 | − | 0.0238001i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 39.5249 | + | 25.4011i | 1.32711 | + | 0.852885i | 0.995882 | − | 0.0906640i | \(-0.0288989\pi\) |
0.331233 | + | 0.943549i | \(0.392535\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −40.1776 | − | 11.7972i | −1.34751 | − | 0.395666i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.510975 | − | 0.589697i | −0.0171183 | − | 0.0197556i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −15.9040 | + | 18.3542i | −0.532207 | + | 0.614199i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 40.7415 | − | 11.9628i | 1.36184 | − | 0.399872i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 12.1294 | − | 3.56151i | 0.404988 | − | 0.118915i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −21.1419 | + | 46.2942i | −0.705121 | + | 1.54400i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −65.7900 | −2.19178 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.21698 | − | 3.71259i | 0.107054 | − | 0.123547i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −6.52212 | − | 45.3623i | −0.216802 | − | 1.50789i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.90208 | + | 4.16497i | −0.0631575 | + | 0.138296i | −0.938579 | − | 0.345065i | \(-0.887857\pi\) |
0.875421 | + | 0.483361i | \(0.160584\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 3.95299 | 0.131112 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 17.8834 | − | 11.4929i | 0.592502 | − | 0.380778i | −0.209757 | − | 0.977753i | \(-0.567267\pi\) |
0.802259 | + | 0.596976i | \(0.203631\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.84472 | + | 10.6085i | 0.160337 | + | 0.351089i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −1.37217 | − | 1.58356i | −0.0453624 | − | 0.0523510i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 34.9125 | − | 22.4369i | 1.15291 | − | 0.740931i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.99134 | − | 34.7155i | −0.164649 | − | 1.14516i | −0.889727 | − | 0.456493i | \(-0.849105\pi\) |
0.725078 | − | 0.688667i | \(-0.241804\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 6.69195 | − | 1.96493i | 0.220507 | − | 0.0647467i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 4.21214 | + | 29.2960i | 0.138644 | + | 0.964291i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.40608 | − | 7.45828i | −0.111991 | − | 0.245227i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −14.3071 | − | 9.19460i | −0.469906 | − | 0.301990i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −1.63633 | + | 11.3809i | −0.0536862 | + | 0.373396i | 0.945212 | + | 0.326458i | \(0.105855\pi\) |
−0.998898 | + | 0.0469374i | \(0.985054\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.0911 | + | 98.0058i | −0.461817 | + | 3.21201i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −11.8272 | − | 7.60091i | −0.387207 | − | 0.248843i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −5.17874 | − | 5.97658i | −0.169363 | − | 0.195455i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −46.0106 | −1.50310 | −0.751550 | − | 0.659676i | \(-0.770694\pi\) | ||||
−0.751550 | + | 0.659676i | \(0.770694\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −30.5250 | −0.996145 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.37215 | − | 5.04573i | −0.142528 | − | 0.164486i | 0.679997 | − | 0.733215i | \(-0.261981\pi\) |
−0.822525 | + | 0.568729i | \(0.807435\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −56.1782 | − | 36.1035i | −1.82941 | − | 1.17569i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.39982 | − | 9.73597i | 0.0455362 | − | 0.316711i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 5.87317 | − | 40.8488i | 0.190852 | − | 1.32741i | −0.638906 | − | 0.769285i | \(-0.720613\pi\) |
0.829758 | − | 0.558123i | \(-0.188478\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.436344 | − | 0.280421i | −0.0141643 | − | 0.00910286i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.4550 | + | 25.0830i | 0.371455 | + | 0.813373i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −5.66141 | − | 39.3760i | −0.183391 | − | 1.27551i | −0.848672 | − | 0.528920i | \(-0.822597\pi\) |
0.665281 | − | 0.746593i | \(-0.268312\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 15.5243 | − | 4.55834i | 0.502354 | − | 0.147504i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.544590 | + | 3.78771i | 0.0176041 | + | 0.122439i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −11.4501 | + | 7.35856i | −0.369744 | + | 0.237620i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −50.2228 | − | 57.9602i | −1.62009 | − | 1.86968i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −0.266941 | − | 0.584520i | −0.00860207 | − | 0.0188359i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −39.8475 | + | 25.6084i | −1.28274 | + | 0.824365i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −9.45684 | −0.304111 | −0.152056 | − | 0.988372i | \(-0.548589\pi\) | ||||
−0.152056 | + | 0.988372i | \(0.548589\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −12.3338 | + | 27.0073i | −0.396220 | + | 0.867600i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −2.68907 | − | 18.7029i | −0.0862962 | − | 0.600204i | −0.986379 | − | 0.164486i | \(-0.947404\pi\) |
0.900083 | − | 0.435718i | \(-0.143505\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 10.3695 | − | 11.9671i | 0.332432 | − | 0.383647i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 1.66963 | 0.0534710 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2.87055 | − | 6.28562i | 0.0918369 | − | 0.201095i | −0.858139 | − | 0.513417i | \(-0.828380\pi\) |
0.949976 | + | 0.312322i | \(0.101107\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.37685 | + | 0.697907i | −0.0759645 | + | 0.0223052i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.459852 | + | 0.135025i | −0.0146819 | + | 0.00431100i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 31.0968 | − | 35.8877i | 0.991835 | − | 1.14464i | 0.00235066 | − | 0.999997i | \(-0.499252\pi\) |
0.989484 | − | 0.144641i | \(-0.0462028\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −14.2558 | − | 16.4520i | −0.454227 | − | 0.524206i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 19.2016 | + | 5.63809i | 0.611193 | + | 0.179462i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 5.94185 | + | 3.81859i | 0.188940 | + | 0.121424i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −21.4473 | − | 6.29749i | −0.681295 | − | 0.200046i | −0.0772685 | − | 0.997010i | \(-0.524620\pi\) |
−0.604027 | + | 0.796964i | \(0.706438\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.51961 | − | 14.2760i | −0.206894 | − | 0.453034i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.66355 | − | 5.38203i | 0.147845 | − | 0.170622i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −22.2215 | + | 48.6582i | −0.703760 | + | 1.54102i | 0.131591 | + | 0.991304i | \(0.457991\pi\) |
−0.835351 | + | 0.549716i | \(0.814736\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −7.45424 | + | 4.79055i | −0.235842 | + | 0.151566i |
(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 | 804.2.q.b.193.5 | yes | 60 | |
67.25 | even | 11 | inner | 804.2.q.b.25.5 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.b.25.5 | ✓ | 60 | 67.25 | even | 11 | inner | |
804.2.q.b.193.5 | yes | 60 | 1.1 | even | 1 | trivial |