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 | 193.2 | ||
Character | \(\chi\) | \(=\) | 804.193 |
Dual form | 804.2.q.b.25.2 |
$q$-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 | ||||||||
\(5\) | −1.48760 | − | 0.956023i | −0.665276 | − | 0.427547i | 0.163944 | − | 0.986470i | \(-0.447578\pi\) |
−0.829220 | + | 0.558923i | \(0.811215\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.105071 | + | 0.730785i | −0.0397131 | + | 0.276211i | −0.999996 | − | 0.00281747i | \(-0.999103\pi\) |
0.960283 | + | 0.279028i | \(0.0900123\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.50272 | − | 1.60840i | −0.754598 | − | 0.484951i | 0.105917 | − | 0.994375i | \(-0.466222\pi\) |
−0.860516 | + | 0.509424i | \(0.829858\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.69174 | − | 5.89410i | −0.746555 | − | 1.63473i | −0.772460 | − | 0.635064i | \(-0.780974\pi\) |
0.0259045 | − | 0.999664i | \(-0.491753\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.251658 | − | 1.75032i | −0.0649777 | − | 0.451930i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.71302 | + | 1.09024i | −0.900540 | + | 0.264423i | −0.699054 | − | 0.715069i | \(-0.746395\pi\) |
−0.201486 | + | 0.979491i | \(0.564577\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.939824 | − | 6.53662i | −0.215610 | − | 1.49960i | −0.753982 | − | 0.656895i | \(-0.771869\pi\) |
0.538371 | − | 0.842708i | \(-0.319040\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.621097 | + | 0.399155i | −0.135534 | + | 0.0871027i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.18984 | + | 4.83534i | 0.873643 | + | 1.00824i | 0.999868 | + | 0.0162358i | \(0.00516824\pi\) |
−0.126226 | + | 0.992002i | \(0.540286\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.778098 | − | 1.70380i | −0.155620 | − | 0.340759i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.841254 | + | 0.540641i | −0.161899 | + | 0.104046i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.01799 | 1.30321 | 0.651604 | − | 0.758559i | \(-0.274096\pi\) | ||||
0.651604 | + | 0.758559i | \(0.274096\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.16207 | − | 4.73427i | 0.388319 | − | 0.850299i | −0.610004 | − | 0.792399i | \(-0.708832\pi\) |
0.998322 | − | 0.0579007i | \(-0.0184407\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.423385 | − | 2.94471i | −0.0737019 | − | 0.512608i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.854951 | − | 0.986666i | 0.144513 | − | 0.166777i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.77012 | −0.784203 | −0.392101 | − | 0.919922i | \(-0.628252\pi\) | ||||
−0.392101 | + | 0.919922i | \(0.628252\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.69174 | − | 5.89410i | 0.431024 | − | 0.943811i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.36252 | + | 1.57458i | −0.837484 | + | 0.245908i | −0.672229 | − | 0.740343i | \(-0.734663\pi\) |
−0.165255 | + | 0.986251i | \(0.552845\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.08414 | + | 1.19921i | −0.622826 | + | 0.182878i | −0.577894 | − | 0.816112i | \(-0.696125\pi\) |
−0.0449320 | + | 0.998990i | \(0.514307\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.15800 | − | 1.33640i | 0.172624 | − | 0.199219i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.54575 | − | 4.09201i | −0.517200 | − | 0.596881i | 0.435727 | − | 0.900079i | \(-0.356491\pi\) |
−0.952928 | + | 0.303198i | \(0.901946\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.19344 | + | 1.81856i | 0.884778 | + | 0.259794i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.25546 | − | 2.09216i | −0.455856 | − | 0.292961i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −12.4504 | − | 3.65577i | −1.71019 | − | 0.502158i | −0.727299 | − | 0.686321i | \(-0.759225\pi\) |
−0.982896 | + | 0.184163i | \(0.941043\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.18538 | + | 4.78532i | 0.294677 | + | 0.645252i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.32459 | − | 4.99085i | 0.572806 | − | 0.661054i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.638345 | + | 1.39778i | −0.0831054 | + | 0.181975i | −0.946623 | − | 0.322344i | \(-0.895529\pi\) |
0.863517 | + | 0.504319i | \(0.168257\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.33100 | + | 2.78336i | −0.554528 | + | 0.356373i | −0.787697 | − | 0.616063i | \(-0.788727\pi\) |
0.233169 | + | 0.972436i | \(0.425090\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.708393 | − | 0.208003i | −0.0892491 | − | 0.0262059i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.63065 | + | 11.3414i | −0.202258 | + | 1.40673i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.02680 | − | 7.93045i | 0.247614 | − | 0.968859i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.910540 | + | 6.33294i | −0.109616 | + | 0.762397i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.87363 | + | 2.89916i | 1.17178 | + | 0.344067i | 0.809002 | − | 0.587806i | \(-0.200008\pi\) |
0.362783 | + | 0.931874i | \(0.381827\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 13.8272 | − | 8.88621i | 1.61835 | − | 1.04005i | 0.661308 | − | 0.750114i | \(-0.270002\pi\) |
0.957045 | − | 0.289938i | \(-0.0936348\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0.778098 | − | 1.70380i | 0.0898470 | − | 0.196737i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.43836 | − | 1.65995i | 0.163916 | − | 0.189169i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.387067 | − | 0.847559i | −0.0435485 | − | 0.0953578i | 0.886607 | − | 0.462523i | \(-0.153056\pi\) |
−0.930156 | + | 0.367165i | \(0.880328\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −8.20888 | − | 5.27553i | −0.901042 | − | 0.579064i | 0.00605745 | − | 0.999982i | \(-0.498072\pi\) |
−0.907099 | + | 0.420917i | \(0.861708\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.56580 | + | 1.92789i | 0.712161 | + | 0.209109i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.59581 | + | 5.30384i | 0.492722 | + | 0.568632i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.24252 | + | 2.58801i | −0.237707 | + | 0.274328i | −0.862051 | − | 0.506821i | \(-0.830821\pi\) |
0.624345 | + | 0.781149i | \(0.285366\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.59014 | − | 1.34779i | 0.481177 | − | 0.141286i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.99377 | − | 1.46630i | 0.517830 | − | 0.152049i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.85108 | + | 10.6224i | −0.497710 | + | 1.08983i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.05052 | −0.512802 | −0.256401 | − | 0.966570i | \(-0.582537\pi\) | ||||
−0.256401 | + | 0.966570i | \(0.582537\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.94820 | − | 2.24835i | 0.195802 | − | 0.225967i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.494284 | + | 3.43782i | 0.0491831 | + | 0.342076i | 0.999524 | + | 0.0308641i | \(0.00982589\pi\) |
−0.950340 | + | 0.311212i | \(0.899265\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.76865 | + | 8.25219i | −0.371336 | + | 0.813112i | 0.628053 | + | 0.778170i | \(0.283852\pi\) |
−0.999389 | + | 0.0349420i | \(0.988875\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.30555 | 0.127408 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 13.3015 | − | 8.54836i | 1.28591 | − | 0.826401i | 0.294301 | − | 0.955713i | \(-0.404913\pi\) |
0.991604 | + | 0.129312i | \(0.0412768\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.13972 | + | 13.4441i | 0.588079 | + | 1.28771i | 0.936596 | + | 0.350410i | \(0.113958\pi\) |
−0.348518 | + | 0.937302i | \(0.613315\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.12376 | − | 3.60502i | −0.296495 | − | 0.342173i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −9.11915 | + | 5.86052i | −0.857857 | + | 0.551311i | −0.894016 | − | 0.448035i | \(-0.852124\pi\) |
0.0361590 | + | 0.999346i | \(0.488488\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.61012 | − | 11.1986i | −0.150145 | − | 1.04428i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 6.21718 | − | 1.82553i | 0.574778 | − | 0.168770i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.406601 | − | 2.82797i | −0.0372731 | − | 0.259240i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.892911 | − | 1.95520i | −0.0811738 | − | 0.177746i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.70169 | − | 3.02159i | −0.423937 | − | 0.272448i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.72966 | + | 12.0300i | −0.154705 | + | 1.07600i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.08379 | + | 14.4930i | −0.184906 | + | 1.28605i | 0.660053 | + | 0.751219i | \(0.270534\pi\) |
−0.844959 | + | 0.534831i | \(0.820375\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.58085 | − | 2.30127i | −0.315276 | − | 0.202616i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.65506 | − | 11.1425i | −0.843566 | − | 0.973527i | 0.156333 | − | 0.987704i | \(-0.450033\pi\) |
−0.999900 | + | 0.0141770i | \(0.995487\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.87561 | 0.422769 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.76832 | 0.152192 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 11.2791 | + | 13.0168i | 0.963637 | + | 1.11210i | 0.993646 | + | 0.112547i | \(0.0359008\pi\) |
−0.0300096 | + | 0.999550i | \(0.509554\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −16.7655 | − | 10.7746i | −1.42203 | − | 0.913886i | −0.999973 | − | 0.00731819i | \(-0.997671\pi\) |
−0.422061 | − | 0.906568i | \(-0.638693\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.770564 | − | 5.35939i | 0.0648932 | − | 0.451342i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −2.74339 | + | 19.0807i | −0.229413 | + | 1.59561i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.4400 | − | 6.70936i | −0.866992 | − | 0.557182i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.68147 | + | 5.87160i | 0.221164 | + | 0.484281i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.44779 | + | 10.0696i | 0.118607 | + | 0.824932i | 0.959092 | + | 0.283096i | \(0.0913614\pi\) |
−0.840484 | + | 0.541836i | \(0.817729\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.00719 | + | 0.589364i | −0.163343 | + | 0.0479618i | −0.362381 | − | 0.932030i | \(-0.618036\pi\) |
0.199039 | + | 0.979992i | \(0.436218\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.550727 | − | 3.83039i | −0.0445236 | − | 0.309669i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −7.74236 | + | 4.97571i | −0.621882 | + | 0.399659i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.271501 | − | 0.313329i | −0.0216681 | − | 0.0250064i | 0.744812 | − | 0.667274i | \(-0.232539\pi\) |
−0.766480 | + | 0.642268i | \(0.777994\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.39044 | − | 11.8034i | −0.427489 | − | 0.936071i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.97382 | + | 2.55382i | −0.313181 | + | 0.201269i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 21.5970 | 1.69160 | 0.845802 | − | 0.533497i | \(-0.179122\pi\) | ||||
0.845802 | + | 0.533497i | \(0.179122\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −2.18538 | + | 4.78532i | −0.170132 | + | 0.372536i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.92030 | − | 20.3111i | −0.225980 | − | 1.57172i | −0.714794 | − | 0.699335i | \(-0.753480\pi\) |
0.488814 | − | 0.872388i | \(-0.337430\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −18.9817 | + | 21.9060i | −1.46013 | + | 1.68508i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 6.60384 | 0.505008 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −8.68144 | + | 19.0097i | −0.660038 | + | 1.44528i | 0.222449 | + | 0.974944i | \(0.428595\pi\) |
−0.882487 | + | 0.470337i | \(0.844132\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.32686 | − | 0.389602i | 0.100301 | − | 0.0294512i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.47440 | + | 0.432923i | −0.110823 | + | 0.0325404i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 11.4291 | − | 13.1899i | 0.854252 | − | 0.985859i | −0.145742 | − | 0.989323i | \(-0.546557\pi\) |
0.999994 | + | 0.00346358i | \(0.00110250\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.84190 | + | 11.3582i | 0.731543 | + | 0.844246i | 0.992644 | − | 0.121066i | \(-0.0386312\pi\) |
−0.261102 | + | 0.965311i | \(0.584086\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.93973 | − | 1.45044i | −0.365155 | − | 0.107219i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 7.09604 | + | 4.56035i | 0.521711 | + | 0.335283i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.0462 | + | 3.24346i | 0.807778 | + | 0.237185i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.306701 | − | 0.671581i | −0.0223092 | − | 0.0488503i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.71479 | − | 3.13303i | 0.196435 | − | 0.226698i | −0.648984 | − | 0.760802i | \(-0.724806\pi\) |
0.845419 | + | 0.534104i | \(0.179351\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.97110 | − | 21.8337i | 0.717736 | − | 1.57162i | −0.0993153 | − | 0.995056i | \(-0.531665\pi\) |
0.817051 | − | 0.576566i | \(-0.195607\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −9.63914 | + | 6.19470i | −0.690273 | + | 0.443611i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 15.7553 | + | 4.62617i | 1.12252 | + | 0.329601i | 0.789763 | − | 0.613412i | \(-0.210204\pi\) |
0.332755 | + | 0.943013i | \(0.392022\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.51142 | − | 10.5121i | 0.107141 | − | 0.745185i | −0.863447 | − | 0.504440i | \(-0.831699\pi\) |
0.970588 | − | 0.240745i | \(-0.0773918\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.32071 | − | 3.66158i | 0.516363 | − | 0.258268i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.737387 | + | 5.12864i | −0.0517544 | + | 0.359960i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.48262 | + | 2.78435i | 0.662295 | + | 0.194467i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −5.38240 | + | 3.45906i | −0.374102 | + | 0.240421i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −8.16138 | + | 17.8709i | −0.564535 | + | 1.23616i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.59792 | + | 2.99816i | −0.178848 | + | 0.206402i | −0.838094 | − | 0.545526i | \(-0.816330\pi\) |
0.659246 | + | 0.751927i | \(0.270876\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.27482 | + | 9.36054i | 0.292906 | + | 0.641374i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.22205 | + | 2.12059i | 0.492540 | + | 0.144623i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.23256 | + | 2.07744i | 0.219440 | + | 0.141026i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 15.7707 | + | 4.63068i | 1.06568 | + | 0.312912i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 16.4205 | + | 18.9503i | 1.10456 | + | 1.27473i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.404679 | + | 0.467024i | −0.0270993 | + | 0.0312743i | −0.769137 | − | 0.639083i | \(-0.779314\pi\) |
0.742038 | + | 0.670358i | \(0.233859\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.79719 | − | 0.527702i | 0.119813 | − | 0.0351802i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −6.26085 | + | 1.83835i | −0.415547 | + | 0.122016i | −0.482821 | − | 0.875719i | \(-0.660388\pi\) |
0.0672741 | + | 0.997735i | \(0.478570\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.264402 | − | 0.578959i | 0.0174721 | − | 0.0382587i | −0.900695 | − | 0.434452i | \(-0.856942\pi\) |
0.918167 | + | 0.396194i | \(0.129669\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.19643 | 0.144515 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −6.32624 | + | 7.30087i | −0.414446 | + | 0.478296i | −0.924137 | − | 0.382062i | \(-0.875214\pi\) |
0.509691 | + | 0.860357i | \(0.329760\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.36260 | + | 9.47710i | 0.0888863 | + | 0.618218i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.387067 | − | 0.847559i | 0.0251427 | − | 0.0550549i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.455619 | 0.0294716 | 0.0147358 | − | 0.999891i | \(-0.495309\pi\) | ||||
0.0147358 | + | 0.999891i | \(0.495309\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.6846 | − | 8.79457i | 0.881503 | − | 0.566508i | −0.0197478 | − | 0.999805i | \(-0.506286\pi\) |
0.901251 | + | 0.433297i | \(0.142650\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.415415 | − | 0.909632i | −0.0266489 | − | 0.0583529i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −7.47479 | − | 8.62637i | −0.477547 | − | 0.551119i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −35.9977 | + | 23.1343i | −2.29048 | + | 1.47200i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1.38870 | − | 9.65859i | −0.0880050 | − | 0.612088i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 5.45796 | − | 1.60260i | 0.344503 | − | 0.101155i | −0.104904 | − | 0.994482i | \(-0.533453\pi\) |
0.449407 | + | 0.893327i | \(0.351635\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.70885 | − | 18.8404i | −0.170304 | − | 1.18449i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.84268 | + | 6.22460i | 0.178015 | + | 0.389799i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.483698 | + | 0.310854i | 0.0301723 | + | 0.0193905i | 0.555640 | − | 0.831423i | \(-0.312473\pi\) |
−0.525468 | + | 0.850814i | \(0.676110\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.501201 | − | 3.48593i | 0.0311431 | − | 0.216605i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.998764 | + | 6.94656i | −0.0618219 | + | 0.429981i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.5317 | − | 8.69627i | −0.834398 | − | 0.536235i | 0.0522745 | − | 0.998633i | \(-0.483353\pi\) |
−0.886673 | + | 0.462398i | \(0.846989\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.0262 | + | 17.3412i | 0.923055 | + | 1.06526i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.42442 | −0.209571 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 3.87866 | 0.236486 | 0.118243 | − | 0.992985i | \(-0.462274\pi\) | ||||
0.118243 | + | 0.992985i | \(0.462274\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.95964 | + | 5.72373i | 0.301277 | + | 0.347692i | 0.886121 | − | 0.463453i | \(-0.153390\pi\) |
−0.584844 | + | 0.811145i | \(0.698844\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 4.02449 | + | 2.58638i | 0.243573 | + | 0.156535i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.793026 | + | 5.51562i | −0.0478213 | + | 0.332604i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.39594 | − | 23.6193i | 0.204042 | − | 1.41915i | −0.588090 | − | 0.808796i | \(-0.700120\pi\) |
0.792132 | − | 0.610350i | \(-0.208971\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 4.37838 | + | 2.81382i | 0.262127 | + | 0.168459i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.09748 | − | 11.1619i | −0.304090 | − | 0.665864i | 0.694469 | − | 0.719522i | \(-0.255639\pi\) |
−0.998559 | + | 0.0536581i | \(0.982912\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.71507 | + | 11.9286i | 0.101950 | + | 0.709081i | 0.975122 | + | 0.221668i | \(0.0711501\pi\) |
−0.873172 | + | 0.487413i | \(0.837941\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −11.2046 | + | 3.28998i | −0.663705 | + | 0.194881i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.587232 | − | 4.08429i | −0.0346632 | − | 0.241088i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.70339 | + | 1.09471i | −0.100200 | + | 0.0643944i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.30739 | − | 3.81693i | −0.193882 | − | 0.223752i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −6.39464 | − | 14.0023i | −0.373579 | − | 0.818023i | −0.999279 | − | 0.0379600i | \(-0.987914\pi\) |
0.625700 | − | 0.780063i | \(-0.284813\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.28591 | − | 1.46907i | 0.133091 | − | 0.0855324i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.97499 | 0.172626 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 17.2220 | − | 37.7108i | 0.995971 | − | 2.18087i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.447241 | − | 3.11063i | −0.0257786 | − | 0.179294i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −2.27445 | + | 2.62485i | −0.130664 | + | 0.150794i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.10376 | 0.521280 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.96207 | − | 21.8139i | 0.568565 | − | 1.24498i | −0.378993 | − | 0.925400i | \(-0.623729\pi\) |
0.947558 | − | 0.319584i | \(-0.103543\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.70453 | + | 2.55588i | −0.495183 | + | 0.145399i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 23.5974 | − | 6.92883i | 1.33809 | − | 0.392898i | 0.467100 | − | 0.884204i | \(-0.345299\pi\) |
0.870987 | + | 0.491307i | \(0.163481\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −11.1285 | + | 12.8430i | −0.629022 | + | 0.725930i | −0.977394 | − | 0.211426i | \(-0.932189\pi\) |
0.348372 | + | 0.937356i | \(0.386735\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.854951 | + | 0.986666i | 0.0481710 | + | 0.0555923i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.20012 | − | 0.646013i | −0.123571 | − | 0.0362837i | 0.219362 | − | 0.975643i | \(-0.429602\pi\) |
−0.342933 | + | 0.939360i | \(0.611420\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −17.5641 | − | 11.2877i | −0.983398 | − | 0.631992i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 15.1711 | + | 4.45462i | 0.846766 | + | 0.248633i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.6161 | + | 23.2460i | 0.590695 | + | 1.29344i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.94790 | + | 9.17236i | −0.440870 | + | 0.508791i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −6.13972 | + | 13.4441i | −0.339527 | + | 0.743461i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.36293 | − | 2.16123i | 0.185404 | − | 0.119152i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.57734 | + | 2.51853i | 0.471453 | + | 0.138431i | 0.508824 | − | 0.860870i | \(-0.330080\pi\) |
−0.0373712 | + | 0.999301i | \(0.511898\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.678859 | − | 4.72157i | 0.0372012 | − | 0.258740i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −10.5968 | + | 9.85968i | −0.578964 | + | 0.538692i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.27861 | − | 15.8481i | 0.124124 | − | 0.863302i | −0.828682 | − | 0.559720i | \(-0.810909\pi\) |
0.952806 | − | 0.303581i | \(-0.0981824\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −10.4009 | − | 3.05397i | −0.564897 | − | 0.165869i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.0256 | + | 8.37107i | −0.705378 | + | 0.453319i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.12663 | + | 9.03606i | −0.222817 | + | 0.487901i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 7.40896 | − | 8.55040i | 0.398885 | − | 0.460338i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −11.5827 | − | 25.3626i | −0.621792 | − | 1.36154i | −0.914208 | − | 0.405244i | \(-0.867186\pi\) |
0.292416 | − | 0.956291i | \(-0.405541\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.5873 | + | 3.98958i | 0.727310 | + | 0.213558i | 0.624369 | − | 0.781130i | \(-0.285356\pi\) |
0.102942 | + | 0.994687i | \(0.467174\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.45103 | + | 3.50316i | 0.290954 | + | 0.186985i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −22.6461 | − | 6.64949i | −1.20533 | − | 0.353917i | −0.383441 | − | 0.923565i | \(-0.625261\pi\) |
−0.821889 | + | 0.569648i | \(0.807079\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −11.9164 | − | 13.7522i | −0.632455 | − | 0.729892i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.87097 | − | 2.15922i | 0.0990224 | − | 0.114278i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 7.11892 | − | 2.09030i | 0.375722 | − | 0.110322i | −0.0884186 | − | 0.996083i | \(-0.528181\pi\) |
0.464141 | + | 0.885761i | \(0.346363\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −23.6137 | + | 6.93362i | −1.24283 | + | 0.364927i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.892911 | − | 1.95520i | 0.0468657 | − | 0.102622i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −29.0648 | −1.52132 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.5729 | − | 20.2803i | 0.917300 | − | 1.05862i | −0.0807827 | − | 0.996732i | \(-0.525742\pi\) |
0.998083 | − | 0.0618893i | \(-0.0197126\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.795384 | − | 5.53202i | −0.0414061 | − | 0.287985i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.97976 | − | 8.71445i | 0.206619 | − | 0.452432i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −18.4066 | −0.953057 | −0.476529 | − | 0.879159i | \(-0.658105\pi\) | ||||
−0.476529 | + | 0.879159i | \(0.658105\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −10.2244 | + | 6.57081i | −0.527984 | + | 0.339315i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −18.8906 | − | 41.3647i | −0.972917 | − | 2.13039i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.297421 | + | 0.343242i | 0.0152775 | + | 0.0176312i | 0.763337 | − | 0.646001i | \(-0.223560\pi\) |
−0.748059 | + | 0.663632i | \(0.769014\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −12.3177 | + | 7.91611i | −0.631055 | + | 0.405554i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.85580 | + | 12.9074i | 0.0948271 | + | 0.659537i | 0.980687 | + | 0.195584i | \(0.0626603\pi\) |
−0.885860 | + | 0.463953i | \(0.846431\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.72666 | + | 1.09424i | −0.189928 | + | 0.0557679i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.605772 | − | 4.21324i | −0.0307931 | − | 0.214171i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −8.19821 | − | 17.9516i | −0.415666 | − | 0.910181i | −0.995439 | − | 0.0954030i | \(-0.969586\pi\) |
0.579773 | − | 0.814778i | \(-0.303141\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −20.8287 | − | 13.3858i | −1.05335 | − | 0.676948i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.09824 | − | 14.5936i | 0.105842 | − | 0.736150i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.234485 | + | 1.63088i | −0.0117982 | + | 0.0820583i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.7991 | + | 6.94018i | 0.541993 | + | 0.348318i | 0.782818 | − | 0.622251i | \(-0.213782\pi\) |
−0.240825 | + | 0.970569i | \(0.577418\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.19284 | + | 3.68474i | 0.159842 | + | 0.184468i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 9.40988 | 0.469907 | 0.234953 | − | 0.972007i | \(-0.424506\pi\) | ||||
0.234953 | + | 0.972007i | \(0.424506\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −33.7239 | −1.67991 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.15800 | + | 1.33640i | 0.0575415 | + | 0.0664064i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 11.9383 | + | 7.67226i | 0.591758 | + | 0.380300i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.90931 | − | 13.2795i | 0.0944093 | − | 0.656631i | −0.886581 | − | 0.462574i | \(-0.846926\pi\) |
0.980990 | − | 0.194057i | \(-0.0621648\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.45118 | + | 17.0483i | −0.120908 | + | 0.840932i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −0.954405 | − | 0.613359i | −0.0469632 | − | 0.0301814i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.16801 | + | 15.6958i | 0.351864 | + | 0.770475i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.83622 | − | 19.7264i | −0.138891 | − | 0.966005i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 18.4016 | − | 5.40321i | 0.898979 | − | 0.263964i | 0.200584 | − | 0.979677i | \(-0.435716\pi\) |
0.698395 | + | 0.715713i | \(0.253898\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.85477 | − | 19.8554i | −0.139133 | − | 0.967692i | −0.933071 | − | 0.359693i | \(-0.882881\pi\) |
0.793938 | − | 0.607999i | \(-0.208028\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 4.55497 | − | 2.92730i | 0.221470 | − | 0.142330i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.74665 | + | 5.47792i | 0.230246 | + | 0.265718i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.57898 | − | 3.45748i | −0.0764121 | − | 0.167319i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −16.2167 | + | 10.4219i | −0.782952 | + | 0.503173i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 17.5968 | 0.847608 | 0.423804 | − | 0.905754i | \(-0.360695\pi\) | ||||
0.423804 | + | 0.905754i | \(0.360695\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.7576 | + | 34.5043i | −0.757261 | + | 1.65817i | −0.00440120 | + | 0.999990i | \(0.501401\pi\) |
−0.752860 | + | 0.658181i | \(0.771326\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.76613 | − | 12.2837i | −0.0846794 | − | 0.588958i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 27.6690 | − | 31.9318i | 1.32359 | − | 1.52750i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 27.2447 | 1.30032 | 0.650160 | − | 0.759798i | \(-0.274702\pi\) | ||||
0.650160 | + | 0.759798i | \(0.274702\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.68147 | + | 5.87160i | −0.127689 | + | 0.279600i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3.97896 | − | 1.16833i | 0.189046 | − | 0.0555090i | −0.185839 | − | 0.982580i | \(-0.559500\pi\) |
0.374885 | + | 0.927071i | \(0.377682\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.81017 | − | 1.70602i | 0.275428 | − | 0.0808731i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −6.66198 | + | 7.68833i | −0.315101 | + | 0.363646i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −14.7109 | − | 16.9773i | −0.694249 | − | 0.801206i | 0.293715 | − | 0.955893i | \(-0.405108\pi\) |
−0.987963 | + | 0.154687i | \(0.950563\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.9534 | + | 4.68435i | 0.751217 | + | 0.220577i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.75984 | − | 1.13098i | −0.0826846 | − | 0.0531381i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −8.11681 | − | 2.38331i | −0.380522 | − | 0.111731i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.99493 | − | 13.1271i | −0.280431 | − | 0.614058i | 0.716034 | − | 0.698065i | \(-0.245955\pi\) |
−0.996465 | + | 0.0840069i | \(0.973228\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.53416 | − | 2.92458i | 0.118285 | − | 0.136508i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 14.6836 | − | 32.1525i | 0.683882 | − | 1.49749i | −0.174596 | − | 0.984640i | \(-0.555862\pi\) |
0.858477 | − | 0.512852i | \(-0.171411\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.6526 | − | 10.7020i | 0.773913 | − | 0.497364i | −0.0930952 | − | 0.995657i | \(-0.529676\pi\) |
0.867009 | + | 0.498293i | \(0.166040\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −8.83056 | − | 2.59289i | −0.409508 | − | 0.120242i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 3.92532 | − | 27.3012i | 0.181642 | − | 1.26335i | −0.671237 | − | 0.741243i | \(-0.734237\pi\) |
0.852880 | − | 0.522108i | \(-0.174854\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.58249 | + | 2.31442i | 0.257776 | + | 0.106870i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.0590028 | − | 0.410373i | 0.00271871 | − | 0.0189090i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 12.1503 | + | 3.56764i | 0.558670 | + | 0.164040i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.4058 | + | 6.68740i | −0.477450 | + | 0.306839i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.39044 | − | 11.8034i | 0.246811 | − | 0.540441i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −23.3361 | + | 26.9313i | −1.06625 | + | 1.23052i | −0.0942520 | + | 0.995548i | \(0.530046\pi\) |
−0.972002 | + | 0.234974i | \(0.924500\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.8399 | + | 28.1155i | 0.585451 | + | 1.28196i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −4.53235 | − | 1.33082i | −0.206229 | − | 0.0605543i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 7.51316 | + | 4.82841i | 0.341155 | + | 0.219247i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.21644 | − | 2.70619i | −0.417637 | − | 0.122629i | 0.0661612 | − | 0.997809i | \(-0.478925\pi\) |
−0.483798 | + | 0.875180i | \(0.660743\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 14.1430 | + | 16.3219i | 0.639568 | + | 0.738101i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.3516 | + | 15.4086i | −0.602551 | + | 0.695381i | −0.972296 | − | 0.233752i | \(-0.924900\pi\) |
0.369745 | + | 0.929133i | \(0.379445\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −26.0580 | + | 7.65131i | −1.17359 | + | 0.344598i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −5.04762 | + | 1.48212i | −0.226874 | + | 0.0666161i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.15609 | + | 6.91088i | −0.141570 | + | 0.309995i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −27.0208 | −1.20962 | −0.604808 | − | 0.796371i | \(-0.706750\pi\) | ||||
−0.604808 | + | 0.796371i | \(0.706750\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 13.4377 | − | 15.5080i | 0.600354 | − | 0.692846i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −2.74180 | − | 19.0696i | −0.122251 | − | 0.850272i | −0.954997 | − | 0.296617i | \(-0.904142\pi\) |
0.832746 | − | 0.553655i | \(-0.186767\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.55134 | − | 5.58666i | 0.113533 | − | 0.248603i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −28.9859 | −1.28731 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 23.9309 | − | 15.3795i | 1.06072 | − | 0.681682i | 0.110693 | − | 0.993855i | \(-0.464693\pi\) |
0.950026 | + | 0.312172i | \(0.101057\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.04107 | + | 11.0384i | 0.223004 | + | 0.488310i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.32459 | + | 4.99085i | 0.190935 | + | 0.220351i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 13.4955 | − | 8.67305i | 0.594684 | − | 0.382180i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.29242 | + | 15.9441i | 0.100821 | + | 0.701222i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −20.0517 | + | 5.88771i | −0.880173 | + | 0.258442i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.42440 | − | 16.8621i | −0.106215 | − | 0.738740i | −0.971428 | − | 0.237336i | \(-0.923726\pi\) |
0.865213 | − | 0.501405i | \(-0.167183\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.13778 | + | 9.06048i | 0.180933 | + | 0.396187i | 0.978267 | − | 0.207351i | \(-0.0664843\pi\) |
−0.797334 | + | 0.603538i | \(0.793757\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.16335 | + | 0.747641i | 0.0507729 | + | 0.0326297i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.86631 | + | 19.9356i | −0.124858 | + | 0.868409i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.55245 | + | 17.7527i | −0.110976 | + | 0.771857i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −1.29271 | − | 0.830772i | −0.0560987 | − | 0.0360524i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 23.7152 | + | 27.3688i | 1.02722 | + | 1.18548i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −27.9598 | −1.20881 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 17.4527 | 0.753141 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −12.5755 | − | 14.5129i | −0.541664 | − | 0.625114i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 29.5525 | + | 18.9922i | 1.27056 | + | 0.816539i | 0.989693 | − | 0.143207i | \(-0.0457415\pi\) |
0.280867 | + | 0.959747i | \(0.409378\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.13885 | + | 14.8760i | −0.0917868 | + | 0.638392i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.71943 | − | 25.8692i | 0.159323 | − | 1.10811i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.96729 | − | 5.12027i | −0.340657 | − | 0.218927i | 0.359115 | − | 0.933293i | \(-0.383079\pi\) |
−0.699772 | + | 0.714366i | \(0.746715\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −2.13867 | − | 4.68303i | −0.0912762 | − | 0.199867i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.59567 | − | 45.8739i | −0.280985 | − | 1.95429i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.660053 | − | 0.193809i | 0.0280683 | − | 0.00824160i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.20044 | + | 8.34922i | 0.0509557 | + | 0.354405i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −17.9883 | + | 11.5604i | −0.762190 | + | 0.489830i | −0.863080 | − | 0.505068i | \(-0.831467\pi\) |
0.100890 | + | 0.994898i | \(0.467831\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.0617 | + | 20.8444i | 0.763930 | + | 0.881623i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.78248 | + | 10.4722i | 0.201917 | + | 0.442136i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 20.0815 | − | 12.9056i | 0.846336 | − | 0.543907i | −0.0440943 | − | 0.999027i | \(-0.514040\pi\) |
0.890430 | + | 0.455121i | \(0.150404\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 19.1685 | 0.806423 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.306701 | − | 0.671581i | 0.0128802 | − | 0.0282037i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −5.79090 | − | 40.2766i | −0.242767 | − | 1.68848i | −0.638108 | − | 0.769947i | \(-0.720283\pi\) |
0.395341 | − | 0.918535i | \(-0.370627\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.67734 | − | 8.86012i | 0.321287 | − | 0.370784i | −0.572014 | − | 0.820244i | \(-0.693838\pi\) |
0.893301 | + | 0.449459i | \(0.148383\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.14559 | 0.173185 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.97832 | − | 10.9010i | 0.207610 | − | 0.454603i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.18383 | + | 0.347605i | −0.0492836 | + | 0.0144710i | −0.306281 | − | 0.951941i | \(-0.599085\pi\) |
0.256998 | + | 0.966412i | \(0.417267\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 23.0305 | − | 6.76235i | 0.957113 | − | 0.281034i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.71779 | − | 5.44462i | 0.195727 | − | 0.225881i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 25.2799 | + | 29.1746i | 1.04699 | + | 1.20829i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −10.9939 | − | 3.22811i | −0.454543 | − | 0.133466i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 26.7629 | + | 17.1995i | 1.10462 | + | 0.709898i | 0.960115 | − | 0.279605i | \(-0.0902035\pi\) |
0.144508 | + | 0.989504i | \(0.453840\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −32.9780 | − | 9.68323i | −1.35884 | − | 0.398990i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.82130 | + | 14.9366i | 0.280591 | + | 0.614408i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −27.6105 | + | 31.8642i | −1.13383 | + | 1.30851i | −0.188615 | + | 0.982051i | \(0.560400\pi\) |
−0.945212 | + | 0.326456i | \(0.894146\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.09875 | + | 4.59562i | −0.0860403 | + | 0.188402i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.93430 | − | 5.74173i | 0.365657 | − | 0.234993i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 13.3021 | + | 3.90585i | 0.543509 | + | 0.159589i | 0.541951 | − | 0.840410i | \(-0.317686\pi\) |
0.00155825 | + | 0.999999i | \(0.499504\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.81709 | − | 40.4588i | 0.237284 | − | 1.65035i | −0.428016 | − | 0.903771i | \(-0.640787\pi\) |
0.665300 | − | 0.746576i | \(-0.268304\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.56129 | + | 3.13480i | 0.307919 | + | 0.127659i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.540924 | + | 3.76221i | −0.0219917 | + | 0.152955i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.54600 | − | 1.62845i | −0.225105 | − | 0.0660969i | 0.167235 | − | 0.985917i | \(-0.446516\pi\) |
−0.392340 | + | 0.919820i | \(0.628334\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −4.35885 | + | 2.80126i | −0.176630 | + | 0.113513i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −14.5745 | + | 31.9136i | −0.589619 | + | 1.29109i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.69243 | + | 10.0316i | −0.351084 | + | 0.405172i | −0.903633 | − | 0.428308i | \(-0.859110\pi\) |
0.552549 | + | 0.833481i | \(0.313655\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.10553 | + | 8.98985i | 0.165551 | + | 0.362506i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −25.0756 | − | 7.36286i | −1.00951 | − | 0.296418i | −0.265155 | − | 0.964206i | \(-0.585423\pi\) |
−0.744351 | + | 0.667788i | \(0.767241\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −8.70956 | − | 5.59730i | −0.350067 | − | 0.224974i | 0.353776 | − | 0.935330i | \(-0.384898\pi\) |
−0.703843 | + | 0.710356i | \(0.748534\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −6.13890 | − | 1.80254i | −0.246346 | − | 0.0723336i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.65565 | − | 1.91072i | −0.0663323 | − | 0.0765515i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.94106 | − | 9.16447i | 0.317642 | − | 0.366579i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −18.8505 | + | 5.53501i | −0.752817 | + | 0.221047i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 17.7116 | − | 5.20059i | 0.706207 | − | 0.207361i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.64340 | + | 7.97794i | −0.145042 | + | 0.317597i | −0.968184 | − | 0.250237i | \(-0.919491\pi\) |
0.823143 | + | 0.567834i | \(0.192219\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.96713 | −0.157679 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 16.9555 | − | 19.5677i | 0.672860 | − | 0.776522i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.95240 | − | 41.3999i | −0.235843 | − | 1.64032i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.27482 | + | 9.36054i | −0.169109 | + | 0.370297i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 6.64792 | 0.262577 | 0.131288 | − | 0.991344i | \(-0.458089\pi\) | ||||
0.131288 | + | 0.991344i | \(0.458089\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −25.7116 | + | 16.5239i | −1.01397 | + | 0.651638i | −0.938417 | − | 0.345504i | \(-0.887708\pi\) |
−0.0755507 | + | 0.997142i | \(0.524071\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.12681 | + | 6.84675i | 0.123118 | + | 0.269591i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −16.0529 | − | 18.5260i | −0.631105 | − | 0.728334i | 0.346671 | − | 0.937987i | \(-0.387312\pi\) |
−0.977776 | + | 0.209653i | \(0.932767\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.84579 | − | 2.47154i | 0.150960 | − | 0.0970163i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.546852 | + | 3.80344i | 0.0214328 | + | 0.149068i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −38.5310 | + | 11.3137i | −1.50784 | + | 0.442741i | −0.928183 | − | 0.372123i | \(-0.878630\pi\) |
−0.579652 | + | 0.814864i | \(0.696812\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.71036 | + | 25.8061i | 0.144976 | + | 1.00833i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.82795 | + | 14.9511i | 0.266384 | + | 0.583299i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 33.0413 | + | 21.2343i | 1.28710 | + | 0.827172i | 0.991746 | − | 0.128215i | \(-0.0409246\pi\) |
0.295358 | + | 0.955387i | \(0.404561\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.38514 | − | 23.5441i | 0.131667 | − | 0.915761i | −0.811716 | − | 0.584053i | \(-0.801466\pi\) |
0.943382 | − | 0.331708i | \(-0.107625\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −3.56852 | + | 24.8196i | −0.138590 | + | 0.963912i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −7.25296 | − | 4.66120i | −0.281258 | − | 0.180753i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 29.4043 | + | 33.9343i | 1.13854 | + | 1.31394i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.617962 | −0.0238918 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 15.3160 | 0.591269 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.09943 | − | 7.03912i | −0.235116 | − | 0.271338i | 0.625915 | − | 0.779892i | \(-0.284726\pi\) |
−0.861030 | + | 0.508553i | \(0.830180\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.57572 | + | 1.01265i | 0.0606495 | + | 0.0389770i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1.87703 | + | 13.0550i | −0.0721402 | + | 0.501746i | 0.921431 | + | 0.388541i | \(0.127021\pi\) |
−0.993572 | + | 0.113205i | \(0.963888\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.530663 | − | 3.69084i | 0.0203650 | − | 0.141641i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.48932 | − | 3.52777i | −0.210351 | − | 0.135184i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −12.2310 | − | 26.7821i | −0.468006 | − | 1.02479i | −0.985589 | − | 0.169157i | \(-0.945896\pi\) |
0.517583 | − | 0.855633i | \(-0.326832\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.33446 | − | 30.1468i | −0.165611 | − | 1.15185i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.610694 | − | 0.179316i | 0.0232994 | − | 0.00684133i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 11.9658 | + | 83.2243i | 0.455862 | + | 3.17059i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.38214 | + | 0.888247i | −0.0525791 | + | 0.0337905i | −0.566666 | − | 0.823947i | \(-0.691767\pi\) |
0.514087 | + | 0.857738i | \(0.328131\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1.43836 | + | 1.65995i | 0.0546387 | + | 0.0630564i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 14.6397 | + | 32.0565i | 0.555316 | + | 1.21597i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.1945 | − | 11.6929i | 0.689165 | − | 0.442899i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −9.66043 | −0.365391 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.423947 | + | 0.928314i | −0.0160123 | + | 0.0350619i | −0.917469 | − | 0.397807i | \(-0.869771\pi\) |
0.901457 | + | 0.432869i | \(0.142499\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.48307 | + | 31.1805i | 0.169082 | + | 1.17599i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −6.27000 | + | 7.23596i | −0.236142 | + | 0.272522i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.56424 | −0.0964383 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.78205 | + | 10.4712i | −0.179594 | + | 0.393255i | −0.977923 | − | 0.208966i | \(-0.932990\pi\) |
0.798329 | + | 0.602221i | \(0.205718\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.894018 | − | 0.262507i | 0.0335283 | − | 0.00984479i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 31.9505 | − | 9.38151i | 1.19656 | − | 0.351340i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 22.3226 | − | 25.7617i | 0.834819 | − | 0.963433i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0.298367 | + | 0.344334i | 0.0111427 | + | 0.0128594i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 31.7813 | + | 9.33183i | 1.18524 | + | 0.348018i | 0.814193 | − | 0.580595i | \(-0.197180\pi\) |
0.371049 | + | 0.928613i | \(0.378998\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.63460 | − | 3.62113i | −0.209843 | − | 0.134858i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 15.6080 | + | 4.58292i | 0.580468 | + | 0.170441i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −5.46068 | − | 11.9572i | −0.202805 | − | 0.444080i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.3702 | + | 21.2004i | −0.681314 | + | 0.786279i | −0.986102 | − | 0.166142i | \(-0.946869\pi\) |
0.304788 | + | 0.952420i | \(0.401415\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 13.8571 | − | 8.90541i | 0.512523 | − | 0.329379i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −30.9901 | − | 9.09950i | −1.14464 | − | 0.336098i | −0.346196 | − | 0.938162i | \(-0.612527\pi\) |
−0.798448 | + | 0.602064i | \(0.794345\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.62443 | − | 11.2981i | 0.0599179 | − | 0.416738i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −17.8279 | + | 16.5878i | −0.656698 | + | 0.611019i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.05505 | − | 14.2932i | 0.0755961 | − | 0.525783i | −0.916474 | − | 0.400095i | \(-0.868977\pi\) |
0.992070 | − | 0.125688i | \(-0.0401137\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −41.0572 | − | 12.0555i | −1.50827 | − | 0.442869i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.77432 | + | 3.06827i | −0.175153 | + | 0.112564i | −0.625280 | − | 0.780401i | \(-0.715015\pi\) |
0.450127 | + | 0.892965i | \(0.351379\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.47302 | − | 16.3636i | 0.273790 | − | 0.599517i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 6.39007 | − | 7.37454i | 0.233801 | − | 0.269820i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.84941 | + | 10.6187i | 0.177193 | + | 0.388000i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.0432 | − | 3.82983i | −0.475953 | − | 0.139752i | 0.0349531 | − | 0.999389i | \(-0.488872\pi\) |
−0.510906 | + | 0.859637i | \(0.670690\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.78537 | + | 3.07537i | 0.174389 | + | 0.112073i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.54934 | + | 1.04218i | 0.129174 | + | 0.0379289i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 24.8713 | + | 28.7030i | 0.903962 | + | 1.04323i | 0.998860 | + | 0.0477407i | \(0.0152021\pi\) |
−0.0948978 | + | 0.995487i | \(0.530252\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 12.4647 | − | 14.3851i | 0.452441 | − | 0.522145i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −8.41179 | + | 2.46993i | −0.304927 | + | 0.0895347i | −0.430617 | − | 0.902535i | \(-0.641704\pi\) |
0.125689 | + | 0.992070i | \(0.459886\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −10.4699 | + | 3.07423i | −0.379034 | + | 0.111294i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.84268 | + | 6.22460i | −0.102777 | + | 0.225051i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 9.95691 | 0.359523 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −17.9079 | + | 20.6668i | −0.645776 | + | 0.745265i | −0.980385 | − | 0.197092i | \(-0.936850\pi\) |
0.334609 | + | 0.942357i | \(0.391396\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.0818272 | + | 0.569121i | 0.00294694 | + | 0.0204964i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 3.97491 | − | 8.70384i | 0.142968 | − | 0.313055i | −0.824580 | − | 0.565746i | \(-0.808588\pi\) |
0.967547 | + | 0.252691i | \(0.0813155\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.74852 | −0.350177 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.96271 | − | 1.90402i | 0.106287 | − | 0.0683062i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 15.3322 | + | 33.5729i | 0.549334 | + | 1.20287i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −20.0479 | − | 23.1365i | −0.717371 | − | 0.827891i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.90391 | + | 3.79421i | −0.210988 | + | 0.135594i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.104336 | + | 0.725670i | 0.00372390 | + | 0.0259003i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 46.3818 | − | 13.6189i | 1.65333 | − | 0.485462i | 0.683646 | − | 0.729814i | \(-0.260393\pi\) |
0.969687 | + | 0.244351i | \(0.0785750\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −2.28915 | − | 15.9214i | −0.0814959 | − | 0.566817i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.32462 | − | 7.27990i | −0.118210 | − | 0.258844i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 28.0634 | + | 18.0352i | 0.996559 | + | 0.640450i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.26551 | + | 22.7121i | −0.115816 | + | 0.805517i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −4.50301 | + | 31.3191i | −0.159505 | + | 1.10938i | 0.740044 | + | 0.672559i | \(0.234805\pi\) |
−0.899548 | + | 0.436821i | \(0.856104\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 17.6267 | + | 11.3280i | 0.623589 | + | 0.400756i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.24252 | − | 2.58801i | −0.0792355 | − | 0.0914427i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −48.8982 | −1.72558 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.35297 | 0.294404 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 2.53998 | + | 2.93129i | 0.0894115 | + | 0.103186i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 16.6525 | + | 10.7019i | 0.585472 | + | 0.376260i | 0.799589 | − | 0.600548i | \(-0.205051\pi\) |
−0.214117 | + | 0.976808i | \(0.568687\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.900281 | + | 6.26159i | −0.0316131 | + | 0.219874i | −0.999504 | − | 0.0314972i | \(-0.989972\pi\) |
0.967891 | + | 0.251371i | \(0.0808816\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1.07783 | + | 7.49650i | −0.0378013 | + | 0.262914i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −32.1277 | − | 20.6472i | −1.12538 | − | 0.723240i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.6772 | + | 25.5694i | 0.408532 | + | 0.894561i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.680823 | + | 4.73523i | 0.0237899 | + | 0.165462i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 42.2491 | − | 12.4055i | 1.47450 | − | 0.432953i | 0.556943 | − | 0.830550i | \(-0.311974\pi\) |
0.917560 | + | 0.397597i | \(0.130156\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.61265 | + | 39.0368i | 0.195645 | + | 1.36074i | 0.816741 | + | 0.577004i | \(0.195778\pi\) |
−0.621097 | + | 0.783734i | \(0.713313\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.68775 | + | 3.01263i | −0.163206 | + | 0.104886i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 19.1927 | + | 22.1496i | 0.667397 | + | 0.770217i | 0.983967 | − | 0.178352i | \(-0.0570766\pi\) |
−0.316570 | + | 0.948569i | \(0.602531\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.6149 | − | 25.4330i | −0.403400 | − | 0.883324i | −0.996914 | − | 0.0784998i | \(-0.974987\pi\) |
0.593514 | − | 0.804824i | \(-0.297740\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 20.0741 | − | 12.9009i | 0.696364 | − | 0.447526i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −24.9791 | −0.865474 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −15.0737 | + | 33.0068i | −0.521646 | + | 1.14225i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.740691 | + | 5.15162i | 0.0256020 | + | 0.178066i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −15.2438 | + | 17.5923i | −0.526274 | + | 0.607352i | −0.955191 | − | 0.295992i | \(-0.904350\pi\) |
0.428917 | + | 0.903344i | \(0.358895\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.2522 | 0.698351 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 5.09748 | − | 11.1619i | 0.175566 | − | 0.384437i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 49.1799 | − | 14.4405i | 1.69184 | − | 0.496769i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.52265 | − | 0.447091i | 0.0523189 | − | 0.0153622i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −7.89189 | + | 9.10772i | −0.270849 | + | 0.312576i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −19.9861 | − | 23.0651i | −0.685113 | − | 0.790663i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.87696 | − | 1.72563i | −0.201223 | − | 0.0590844i | 0.179568 | − | 0.983746i | \(-0.442530\pi\) |
−0.380791 | + | 0.924661i | \(0.624348\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −9.82388 | − | 6.31342i | −0.335969 | − | 0.215914i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −5.51345 | − | 1.61890i | −0.188336 | − | 0.0553004i | 0.186204 | − | 0.982511i | \(-0.440381\pi\) |
−0.374540 | + | 0.927211i | \(0.622199\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.229692 | + | 0.502956i | 0.00783700 | + | 0.0171606i | 0.913510 | − | 0.406816i | \(-0.133361\pi\) |
−0.905673 | + | 0.423977i | \(0.860634\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.70214 | − | 3.11844i | 0.0920888 | − | 0.106276i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −11.8101 | + | 25.8605i | −0.402020 | + | 0.880302i | 0.595041 | + | 0.803695i | \(0.297136\pi\) |
−0.997061 | + | 0.0766066i | \(0.975591\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 31.0883 | − | 19.9792i | 1.05703 | − | 0.679313i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.94281 | − | 0.570460i | −0.0659813 | − | 0.0193738i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −0.394493 | + | 2.74376i | −0.0133823 | + | 0.0930757i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −52.1985 | + | 9.40056i | −1.76868 | + | 0.318526i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.718764 | − | 4.99911i | 0.0243265 | − | 0.169194i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −8.60963 | − | 2.52801i | −0.291058 | − | 0.0854625i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −36.2048 | + | 23.2674i | −1.22255 | + | 0.785684i | −0.982714 | − | 0.185130i | \(-0.940730\pi\) |
−0.239834 | + | 0.970814i | \(0.577093\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 6.39464 | − | 14.0023i | 0.215686 | − | 0.472286i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.67632 | + | 10.0130i | −0.292313 | + | 0.337347i | −0.882843 | − | 0.469669i | \(-0.844373\pi\) |
0.590530 | + | 0.807016i | \(0.298919\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.5128 | + | 29.5889i | 0.454742 | + | 0.995747i | 0.988655 | + | 0.150207i | \(0.0479940\pi\) |
−0.533912 | + | 0.845540i | \(0.679279\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.60720 | + | 0.765543i | 0.0876401 | + | 0.0257335i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 15.3172 | + | 9.84378i | 0.514302 | + | 0.330522i | 0.771914 | − | 0.635727i | \(-0.219299\pi\) |
−0.257612 | + | 0.966248i | \(0.582936\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −10.3723 | − | 3.04560i | −0.347877 | − | 0.102146i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.94820 | + | 2.24835i | 0.0652673 | + | 0.0753224i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −23.4155 | + | 27.0230i | −0.783571 | + | 0.904289i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −29.6118 | + | 8.69481i | −0.989814 | + | 0.290635i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 39.7779 | − | 11.6799i | 1.32815 | − | 0.389979i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 15.1734 | − | 33.2250i | 0.506060 | − | 1.10812i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 50.2143 | 1.67288 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.05798 | − | 2.37503i | 0.0684852 | − | 0.0790362i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −3.78216 | − | 26.3055i | −0.125723 | − | 0.874425i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −11.9418 | + | 26.1489i | −0.396522 | + | 0.868261i | 0.601090 | + | 0.799182i | \(0.294733\pi\) |
−0.997611 | + | 0.0690794i | \(0.977994\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −3.47318 | −0.115198 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.67021 | + | 3.64402i | −0.187863 | + | 0.120732i | −0.631191 | − | 0.775627i | \(-0.717434\pi\) |
0.443329 | + | 0.896359i | \(0.353797\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 12.0594 | + | 26.4063i | 0.399107 | + | 0.873922i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 5.96170 | + | 6.88017i | 0.197088 | + | 0.227451i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 9.15726 | − | 5.88501i | 0.302399 | − | 0.194340i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.14763 | − | 7.98191i | −0.0378567 | − | 0.263299i | 0.962099 | − | 0.272700i | \(-0.0879166\pi\) |
−0.999956 | + | 0.00940092i | \(0.997008\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 23.0096 | − | 6.75623i | 0.758192 | − | 0.222625i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −9.48936 | − | 65.9999i | −0.312346 | − | 2.17241i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.71162 | + | 8.12731i | 0.122037 | + | 0.267224i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −7.63186 | − | 4.90470i | −0.250663 | − | 0.161091i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 3.11483 | − | 21.6641i | 0.102194 | − | 0.710777i | −0.872724 | − | 0.488214i | \(-0.837649\pi\) |
0.974918 | − | 0.222563i | \(-0.0714423\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.06648 | − | 42.1933i | 0.198821 | − | 1.38283i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 20.6895 | + | 13.2963i | 0.677343 | + | 0.435302i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −13.3315 | − | 15.3854i | −0.435987 | − | 0.503156i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 51.6289 | 1.68664 | 0.843321 | − | 0.537409i | \(-0.180597\pi\) | ||||
0.843321 | + | 0.537409i | \(0.180597\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −16.9937 | −0.554570 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −15.7832 | − | 18.2148i | −0.514517 | − | 0.593784i | 0.437733 | − | 0.899105i | \(-0.355782\pi\) |
−0.952249 | + | 0.305321i | \(0.901236\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −30.0817 | − | 19.3323i | −0.979595 | − | 0.629548i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.185799 | + | 1.29226i | −0.00604403 | + | 0.0420371i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −2.97324 | + | 20.6794i | −0.0966174 | + | 0.671989i | 0.882741 | + | 0.469859i | \(0.155695\pi\) |
−0.979359 | + | 0.202130i | \(0.935214\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −89.5955 | − | 57.5795i | −2.90839 | − | 1.86911i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.952546 | − | 2.08579i | −0.0308884 | − | 0.0676362i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0.0402204 | + | 0.279739i | 0.00130287 | + | 0.00906163i | 0.990463 | − | 0.137783i | \(-0.0439975\pi\) |
−0.989160 | + | 0.146844i | \(0.953088\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.03377 | + | 2.06530i | −0.227607 | + | 0.0668316i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.97131 | − | 20.6659i | −0.0960489 | − | 0.668034i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −10.6975 | + | 6.87490i | −0.345442 | + | 0.222002i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.56194 | + | 2.95664i | 0.0826433 | + | 0.0953755i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 6.56835 | + | 14.3827i | 0.211662 | + | 0.463475i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −35.7065 | + | 22.9472i | −1.14943 | + | 0.738696i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.4842 | 0.819516 | 0.409758 | − | 0.912194i | \(-0.365613\pi\) | ||||
0.409758 | + | 0.912194i | \(0.365613\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −10.6161 | + | 23.2460i | −0.341038 | + | 0.746768i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1.81973 | + | 12.6565i | 0.0583980 | + | 0.406167i | 0.997963 | + | 0.0637963i | \(0.0203208\pi\) |
−0.939565 | + | 0.342371i | \(0.888770\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 9.63545 | − | 11.1199i | 0.308898 | − | 0.356488i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −12.1368 | −0.388688 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −4.60272 | + | 10.0785i | −0.147254 | + | 0.322441i | −0.968858 | − | 0.247618i | \(-0.920352\pi\) |
0.821604 | + | 0.570059i | \(0.193080\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.77495 | − | 2.87018i | 0.312409 | − | 0.0917314i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −14.1810 | + | 4.16393i | −0.452766 | + | 0.132944i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 26.5856 | − | 30.6814i | 0.847949 | − | 0.978585i | −0.152003 | − | 0.988380i | \(-0.548572\pi\) |
0.999952 | + | 0.00979506i | \(0.00311791\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −19.0149 | − | 21.9443i | −0.605864 | − | 0.699204i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 3.83560 | + | 1.12623i | 0.122088 | + | 0.0358484i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −22.9105 | − | 14.7237i | −0.728512 | − | 0.468186i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 44.8040 | + | 13.1556i | 1.42325 | + | 0.417903i | 0.900601 | − | 0.434647i | \(-0.143127\pi\) |
0.522645 | + | 0.852550i | \(0.324945\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 3.71358 | + | 8.13161i | 0.117847 | + | 0.258049i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −12.2982 | + | 14.1929i | −0.389880 | + | 0.449945i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.09920 | + | 11.1657i | −0.161493 | + | 0.353621i | −0.973029 | − | 0.230682i | \(-0.925904\pi\) |
0.811536 | + | 0.584302i | \(0.198632\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.01288 | − | 2.57892i | 0.126962 | − | 0.0815935i |
(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.193.2 | yes | 60 | |
67.25 | even | 11 | inner | 804.2.q.b.25.2 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.b.25.2 | ✓ | 60 | 67.25 | even | 11 | inner | |
804.2.q.b.193.2 | yes | 60 | 1.1 | even | 1 | trivial |