Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [256,2,Mod(17,256)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(256, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("256.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 256 = 2^{8} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 256.i (of order \(16\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.04417029174\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | no (minimal twist has level 64) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 81.1 | ||
Character | \(\chi\) | \(=\) | 256.81 |
Dual form | 256.2.i.a.177.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/256\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(255\) |
\(\chi(n)\) | \(e\left(\frac{3}{16}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −0.553854 | + | 2.78441i | −0.319768 | + | 1.60758i | 0.402131 | + | 0.915582i | \(0.368270\pi\) |
−0.721898 | + | 0.691999i | \(0.756730\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.59756 | + | 1.73564i | 1.16167 | + | 0.776200i | 0.978371 | − | 0.206858i | \(-0.0663237\pi\) |
0.183295 | + | 0.983058i | \(0.441324\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.96508 | − | 0.813965i | 0.742732 | − | 0.307650i | 0.0209598 | − | 0.999780i | \(-0.493328\pi\) |
0.721772 | + | 0.692131i | \(0.243328\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −4.67456 | − | 1.93627i | −1.55819 | − | 0.645422i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.02382 | − | 0.402563i | 0.610205 | − | 0.121377i | 0.119692 | − | 0.992811i | \(-0.461809\pi\) |
0.490513 | + | 0.871434i | \(0.336809\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.99644 | + | 1.33398i | −0.553713 | + | 0.369979i | −0.800724 | − | 0.599033i | \(-0.795552\pi\) |
0.247011 | + | 0.969013i | \(0.420552\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −6.27140 | + | 6.27140i | −1.61927 | + | 1.61927i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.31120 | − | 2.31120i | −0.560547 | − | 0.560547i | 0.368916 | − | 0.929463i | \(-0.379729\pi\) |
−0.929463 | + | 0.368916i | \(0.879729\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.37703 | − | 3.55748i | −0.545328 | − | 0.816142i | 0.451780 | − | 0.892129i | \(-0.350789\pi\) |
−0.997109 | + | 0.0759875i | \(0.975789\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.17804 | + | 5.92242i | 0.257070 | + | 1.29238i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.993213 | + | 2.39783i | −0.207099 | + | 0.499982i | −0.992964 | − | 0.118417i | \(-0.962218\pi\) |
0.785865 | + | 0.618398i | \(0.212218\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.82149 | + | 4.39746i | 0.364297 | + | 0.879491i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.24866 | − | 4.86196i | 0.625205 | − | 0.935685i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.34079 | + | 0.465613i | 0.434674 | + | 0.0864621i | 0.407577 | − | 0.913171i | \(-0.366374\pi\) |
0.0270970 | + | 0.999633i | \(0.491374\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 1.81094i | − | 0.325254i | −0.986688 | − | 0.162627i | \(-0.948003\pi\) | ||
0.986688 | − | 0.162627i | \(-0.0519967\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 5.85811i | 1.01977i | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 6.51718 | + | 1.29635i | 1.10160 | + | 0.219123i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.40742 | − | 2.10635i | 0.231378 | − | 0.346282i | −0.697554 | − | 0.716533i | \(-0.745728\pi\) |
0.928932 | + | 0.370250i | \(0.120728\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.60861 | − | 6.29775i | −0.417712 | − | 1.00845i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.66056 | − | 11.2516i | 0.727858 | − | 1.75720i | 0.0782501 | − | 0.996934i | \(-0.475067\pi\) |
0.649607 | − | 0.760270i | \(-0.274933\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.452227 | − | 2.27350i | −0.0689639 | − | 0.346705i | 0.930862 | − | 0.365371i | \(-0.119058\pi\) |
−0.999826 | + | 0.0186663i | \(0.994058\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −8.78181 | − | 13.1429i | −1.30912 | − | 1.95923i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.27298 | + | 2.27298i | 0.331549 | + | 0.331549i | 0.853174 | − | 0.521626i | \(-0.174674\pi\) |
−0.521626 | + | 0.853174i | \(0.674674\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.75073 | + | 1.75073i | −0.250104 | + | 0.250104i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.71539 | − | 5.15526i | 1.08037 | − | 0.721881i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.98970 | − | 1.58925i | 1.09747 | − | 0.218300i | 0.387036 | − | 0.922065i | \(-0.373499\pi\) |
0.710433 | + | 0.703764i | \(0.248499\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.95570 | + | 2.46693i | 0.803067 | + | 0.332641i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 11.2220 | − | 4.64831i | 1.48639 | − | 0.615684i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −7.08029 | − | 4.73090i | −0.921775 | − | 0.615911i | 0.00152111 | − | 0.999999i | \(-0.499516\pi\) |
−0.923296 | + | 0.384088i | \(0.874516\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.95998 | + | 9.85346i | −0.250949 | + | 1.26161i | 0.625543 | + | 0.780190i | \(0.284878\pi\) |
−0.876492 | + | 0.481417i | \(0.840122\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −10.7620 | −1.35588 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −7.50119 | −0.930408 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.88943 | + | 14.5262i | −0.353000 | + | 1.77465i | 0.241342 | + | 0.970440i | \(0.422413\pi\) |
−0.594342 | + | 0.804212i | \(0.702587\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −6.12645 | − | 4.09356i | −0.737537 | − | 0.492807i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.41451 | − | 2.65698i | 0.761263 | − | 0.315325i | 0.0319351 | − | 0.999490i | \(-0.489833\pi\) |
0.729328 | + | 0.684165i | \(0.239833\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.36337 | − | 1.39315i | −0.393653 | − | 0.163056i | 0.177072 | − | 0.984198i | \(-0.443338\pi\) |
−0.570724 | + | 0.821142i | \(0.693338\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −13.2532 | + | 2.63622i | −1.53034 | + | 0.304404i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.64930 | − | 2.43839i | 0.415877 | − | 0.277880i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.9490 | − | 10.9490i | 1.23186 | − | 1.23186i | 0.268617 | − | 0.963247i | \(-0.413433\pi\) |
0.963247 | − | 0.268617i | \(-0.0865667\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00516 | + | 1.00516i | 0.111685 | + | 0.111685i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.72793 | + | 5.57925i | 0.409194 | + | 0.612402i | 0.977632 | − | 0.210324i | \(-0.0674520\pi\) |
−0.568438 | + | 0.822726i | \(0.692452\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.99208 | − | 10.0149i | −0.216072 | − | 1.08627i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.59292 | + | 6.25985i | −0.277990 | + | 0.671126i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.10595 | − | 7.49842i | −0.329230 | − | 0.794831i | −0.998650 | − | 0.0519471i | \(-0.983457\pi\) |
0.669420 | − | 0.742884i | \(-0.266543\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.83736 | + | 4.24642i | −0.297437 | + | 0.445145i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 5.04240 | + | 1.00299i | 0.522872 | + | 0.104006i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | − | 13.3664i | − | 1.37137i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.49286i | 0.862319i | 0.902276 | + | 0.431160i | \(0.141895\pi\) | ||||
−0.902276 | + | 0.431160i | \(0.858105\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −10.2399 | − | 2.03685i | −1.02915 | − | 0.204711i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.24152 | + | 12.3343i | −0.820062 | + | 1.22731i | 0.151013 | + | 0.988532i | \(0.451747\pi\) |
−0.971074 | + | 0.238777i | \(0.923253\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.14828 | + | 5.18641i | 0.211676 | + | 0.511032i | 0.993681 | − | 0.112241i | \(-0.0358027\pi\) |
−0.782005 | + | 0.623273i | \(0.785803\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −7.21913 | + | 17.4285i | −0.704515 | + | 1.70085i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.52870 | − | 12.7126i | −0.244458 | − | 1.22897i | −0.886654 | − | 0.462434i | \(-0.846976\pi\) |
0.642195 | − | 0.766541i | \(-0.278024\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.38971 | + | 8.06626i | 0.516240 | + | 0.772608i | 0.994402 | − | 0.105664i | \(-0.0336967\pi\) |
−0.478162 | + | 0.878272i | \(0.658697\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.08545 | + | 5.08545i | 0.482689 | + | 0.482689i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.75634 | − | 4.75634i | 0.447439 | − | 0.447439i | −0.447063 | − | 0.894502i | \(-0.647530\pi\) |
0.894502 | + | 0.447063i | \(0.147530\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.74169 | + | 4.50465i | −0.628666 | + | 0.420061i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 11.9154 | − | 2.37013i | 1.10158 | − | 0.219118i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −6.42293 | − | 2.66046i | −0.588789 | − | 0.243884i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −6.22889 | + | 2.58009i | −0.566262 | + | 0.234554i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 28.7478 | + | 19.2087i | 2.59210 | + | 1.73199i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.146412 | − | 0.736062i | 0.0130955 | − | 0.0658354i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.302397 | −0.0268334 | −0.0134167 | − | 0.999910i | \(-0.504271\pi\) | ||||
−0.0134167 | + | 0.999910i | \(0.504271\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 6.58082 | 0.579409 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.05063 | − | 5.28186i | 0.0917938 | − | 0.461478i | −0.907360 | − | 0.420354i | \(-0.861906\pi\) |
0.999154 | − | 0.0411246i | \(-0.0130941\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.56673 | − | 5.05593i | −0.656119 | − | 0.438404i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 16.8772 | − | 6.99077i | 1.45256 | − | 0.601669i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 15.9084 | + | 6.58948i | 1.35915 | + | 0.562978i | 0.938824 | − | 0.344397i | \(-0.111917\pi\) |
0.420324 | + | 0.907374i | \(0.361917\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.7049 | + | 2.32824i | −0.992793 | + | 0.197479i | −0.664654 | − | 0.747151i | \(-0.731421\pi\) |
−0.328138 | + | 0.944630i | \(0.606421\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.58783 | + | 5.07002i | −0.639010 | + | 0.426973i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −3.50343 | + | 3.50343i | −0.292971 | + | 0.292971i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.27222 | + | 5.27222i | 0.437834 | + | 0.437834i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.90511 | − | 5.84440i | −0.322088 | − | 0.482038i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.62919 | − | 13.2179i | −0.215392 | − | 1.08285i | −0.925498 | − | 0.378753i | \(-0.876353\pi\) |
0.710106 | − | 0.704095i | \(-0.248647\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.726711 | − | 1.75444i | 0.0591389 | − | 0.142774i | −0.891548 | − | 0.452926i | \(-0.850380\pi\) |
0.950687 | + | 0.310152i | \(0.100380\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 6.32873 | + | 15.2789i | 0.511648 | + | 1.23523i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.14313 | − | 4.70402i | 0.252462 | − | 0.377836i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −18.2962 | − | 3.63933i | −1.46019 | − | 0.290450i | −0.599828 | − | 0.800129i | \(-0.704764\pi\) |
−0.860365 | + | 0.509679i | \(0.829764\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 23.1268i | 1.83408i | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.52037i | 0.435066i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.25039 | + | 0.646543i | 0.254590 | + | 0.0506412i | 0.320735 | − | 0.947169i | \(-0.396070\pi\) |
−0.0661449 | + | 0.997810i | \(0.521070\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −10.1676 | + | 15.2168i | −0.791543 | + | 1.18463i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.0933446 | − | 0.225354i | −0.00722322 | − | 0.0174384i | 0.920227 | − | 0.391386i | \(-0.128004\pi\) |
−0.927450 | + | 0.373947i | \(0.878004\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.76861 | + | 6.68401i | −0.212970 | + | 0.514154i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.22335 | + | 21.2322i | 0.322968 | + | 1.62367i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −8.24361 | − | 12.3374i | −0.626750 | − | 0.937998i | −0.999948 | − | 0.0102459i | \(-0.996739\pi\) |
0.373197 | − | 0.927752i | \(-0.378261\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.15875 | + | 7.15875i | 0.541151 | + | 0.541151i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 17.0942 | − | 17.0942i | 1.28488 | − | 1.28488i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.58585 | + | 6.40506i | −0.716480 | + | 0.478736i | −0.859599 | − | 0.510969i | \(-0.829287\pi\) |
0.143119 | + | 0.989705i | \(0.454287\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.33755 | + | 1.65844i | −0.619726 | + | 0.123271i | −0.494961 | − | 0.868915i | \(-0.664818\pi\) |
−0.124765 | + | 0.992186i | \(0.539818\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −26.3506 | − | 10.9148i | −1.94789 | − | 0.806842i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 7.31172 | − | 3.02862i | 0.537569 | − | 0.222668i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.60785 | − | 3.74704i | −0.410086 | − | 0.274011i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.42642 | − | 12.1985i | 0.176496 | − | 0.887307i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.31207 | −0.456725 | −0.228363 | − | 0.973576i | \(-0.573337\pi\) | ||||
−0.228363 | + | 0.973576i | \(0.573337\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.5158 | −0.756940 | −0.378470 | − | 0.925614i | \(-0.623550\pi\) | ||||
−0.378470 | + | 0.925614i | \(0.623550\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 4.15456 | − | 20.8864i | 0.297515 | − | 1.49571i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 13.0604 | + | 8.72666i | 0.930513 | + | 0.621749i | 0.925708 | − | 0.378240i | \(-0.123470\pi\) |
0.00480529 | + | 0.999988i | \(0.498470\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −25.4075 | + | 10.5241i | −1.80109 | + | 0.746037i | −0.815085 | + | 0.579342i | \(0.803310\pi\) |
−0.986008 | + | 0.166695i | \(0.946690\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −38.8465 | − | 16.0907i | −2.74002 | − | 1.13495i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4.97885 | − | 0.990354i | 0.349447 | − | 0.0695092i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 31.6348 | − | 21.1377i | 2.20947 | − | 1.47632i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 9.28566 | − | 9.28566i | 0.645398 | − | 0.645398i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −6.24279 | − | 6.24279i | −0.431823 | − | 0.431823i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.5416 | − | 18.7698i | −0.863399 | − | 1.29217i | −0.955071 | − | 0.296378i | \(-0.904221\pi\) |
0.0916719 | − | 0.995789i | \(-0.470779\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.84542 | + | 19.3322i | 0.263484 | + | 1.32462i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.77128 | − | 6.69045i | 0.189000 | − | 0.456285i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.47404 | − | 3.55864i | −0.100064 | − | 0.241576i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 5.74193 | − | 8.59341i | 0.388004 | − | 0.580689i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.69726 | + | 1.53108i | 0.517774 | + | 0.102992i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 8.11318i | − | 0.543298i | −0.962396 | − | 0.271649i | \(-0.912431\pi\) | ||
0.962396 | − | 0.271649i | \(-0.0875690\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | − | 24.0831i | − | 1.60554i | ||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 11.3933 | + | 2.26626i | 0.756197 | + | 0.150417i | 0.558109 | − | 0.829767i | \(-0.311527\pi\) |
0.198087 | + | 0.980184i | \(0.436527\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.2867 | − | 18.3883i | 0.811926 | − | 1.21513i | −0.161668 | − | 0.986845i | \(-0.551687\pi\) |
0.973594 | − | 0.228288i | \(-0.0733127\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.76829 | + | 11.5117i | 0.313731 | + | 0.757413i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.609526 | − | 1.47153i | 0.0399314 | − | 0.0964028i | −0.902656 | − | 0.430364i | \(-0.858385\pi\) |
0.942587 | + | 0.333961i | \(0.108385\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.95915 | + | 9.84930i | 0.127801 | + | 0.642497i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 24.4225 | + | 36.5508i | 1.58641 | + | 2.37423i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.07033 | + | 1.07033i | 0.0692337 | + | 0.0692337i | 0.740876 | − | 0.671642i | \(-0.234411\pi\) |
−0.671642 | + | 0.740876i | \(0.734411\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.5889 | − | 11.5889i | 0.746509 | − | 0.746509i | −0.227313 | − | 0.973822i | \(-0.572994\pi\) |
0.973822 | + | 0.227313i | \(0.0729940\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.2304 | − | 7.50390i | 0.720429 | − | 0.481375i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −7.58626 | + | 1.50900i | −0.484669 | + | 0.0964066i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.49121 | + | 3.93139i | 0.603911 | + | 0.250148i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −17.5997 | + | 7.29002i | −1.11533 | + | 0.461986i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.20465 | + | 2.14128i | 0.202276 | + | 0.135156i | 0.652583 | − | 0.757717i | \(-0.273685\pi\) |
−0.450307 | + | 0.892874i | \(0.648685\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.04481 | + | 5.25260i | −0.0656865 | + | 0.330228i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 28.9889 | 1.81535 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −12.4093 | −0.774071 | −0.387035 | − | 0.922065i | \(-0.626501\pi\) | ||||
−0.387035 | + | 0.922065i | \(0.626501\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.05120 | − | 5.28475i | 0.0653185 | − | 0.328378i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.0406 | − | 6.70893i | −0.621499 | − | 0.415272i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.63628 | + | 0.677769i | −0.100897 | + | 0.0417930i | −0.432561 | − | 0.901605i | \(-0.642390\pi\) |
0.331664 | + | 0.943398i | \(0.392390\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 23.5121 | + | 9.73904i | 1.44434 | + | 0.598264i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 22.5989 | − | 4.49521i | 1.38303 | − | 0.275102i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −26.2384 | + | 17.5320i | −1.59978 | + | 1.06894i | −0.648238 | + | 0.761438i | \(0.724494\pi\) |
−0.951547 | + | 0.307505i | \(0.900506\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.58765 | − | 1.58765i | 0.0964427 | − | 0.0964427i | −0.657239 | − | 0.753682i | \(-0.728276\pi\) |
0.753682 | + | 0.657239i | \(0.228276\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −10.2523 | − | 10.2523i | −0.620497 | − | 0.620497i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.45661 | + | 8.16640i | 0.329046 | + | 0.492452i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.970436 | − | 4.87871i | −0.0583079 | − | 0.293133i | 0.940618 | − | 0.339466i | \(-0.110246\pi\) |
−0.998926 | + | 0.0463330i | \(0.985246\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −3.50646 | + | 8.46533i | −0.209926 | + | 0.506806i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.758051 | − | 1.83010i | −0.0452216 | − | 0.109175i | 0.899655 | − | 0.436602i | \(-0.143818\pi\) |
−0.944876 | + | 0.327428i | \(0.893818\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.42628 | + | 8.12100i | −0.322559 | + | 0.482744i | −0.956944 | − | 0.290274i | \(-0.906254\pi\) |
0.634385 | + | 0.773018i | \(0.281254\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 37.2177 | + | 7.40306i | 2.20459 | + | 0.438519i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 25.9039i | − | 1.52906i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 6.31674i | − | 0.371573i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −23.6476 | − | 4.70380i | −1.38625 | − | 0.275742i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 6.65651 | − | 9.96217i | 0.388877 | − | 0.581996i | −0.584446 | − | 0.811432i | \(-0.698688\pi\) |
0.973324 | + | 0.229436i | \(0.0736883\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.1804 | − | 24.5776i | −0.592725 | − | 1.43096i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.61746 | − | 11.1475i | 0.267932 | − | 0.646845i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.21576 | − | 6.11205i | −0.0703093 | − | 0.353469i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.73921 | − | 4.09952i | −0.157885 | − | 0.236292i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −29.7792 | − | 29.7792i | −1.71077 | − | 1.71077i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −22.1932 | + | 22.1932i | −1.27078 | + | 1.27078i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.59801 | − | 6.41318i | 0.547787 | − | 0.366020i | −0.250669 | − | 0.968073i | \(-0.580650\pi\) |
0.798456 | + | 0.602053i | \(0.205650\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −15.6309 | + | 3.10919i | −0.889213 | + | 0.176875i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 21.5704 | + | 8.93477i | 1.22315 | + | 0.506644i | 0.898409 | − | 0.439160i | \(-0.144724\pi\) |
0.324738 | + | 0.945804i | \(0.394724\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.66011 | + | 0.687642i | −0.0938352 | + | 0.0388678i | −0.429107 | − | 0.903254i | \(-0.641172\pi\) |
0.335272 | + | 0.942121i | \(0.391172\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −27.9549 | − | 18.6788i | −1.57508 | − | 1.05243i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.90261 | + | 14.5924i | −0.163027 | + | 0.819590i | 0.809558 | + | 0.587040i | \(0.199707\pi\) |
−0.972584 | + | 0.232550i | \(0.925293\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.92478 | 0.275735 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 36.7977 | 2.05385 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.72825 | + | 13.7158i | −0.151804 | + | 0.763169i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.50261 | − | 6.34944i | −0.527110 | − | 0.352204i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −25.4449 | + | 10.5396i | −1.40711 | + | 0.582843i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 6.31673 | + | 2.61648i | 0.348253 | + | 0.144251i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.51285 | + | 1.09657i | −0.303014 | + | 0.0602732i | −0.344255 | − | 0.938876i | \(-0.611869\pi\) |
0.0412418 | + | 0.999149i | \(0.486869\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −10.6575 | + | 7.12113i | −0.584029 | + | 0.390236i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −32.7176 | + | 32.7176i | −1.78755 | + | 1.78755i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.17791 | + | 2.17791i | 0.118638 | + | 0.118638i | 0.763933 | − | 0.645295i | \(-0.223266\pi\) |
−0.645295 | + | 0.763933i | \(0.723266\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 10.6093 | + | 15.8779i | 0.576218 | + | 0.862371i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.729016 | − | 3.66501i | −0.0394784 | − | 0.198471i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.71305 | + | 18.6210i | −0.416466 | + | 1.00544i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −8.80890 | − | 21.2666i | −0.474255 | − | 1.14495i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −5.32825 | + | 7.97430i | −0.286036 | + | 0.428083i | −0.946465 | − | 0.322805i | \(-0.895374\pi\) |
0.660430 | + | 0.750888i | \(0.270374\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.63592 | − | 0.325405i | −0.0875689 | − | 0.0174185i | 0.151111 | − | 0.988517i | \(-0.451715\pi\) |
−0.238680 | + | 0.971098i | \(0.576715\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 14.0403i | 0.749414i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 5.92592i | 0.315405i | 0.987487 | + | 0.157702i | \(0.0504087\pi\) | ||||
−0.987487 | + | 0.157702i | \(0.949591\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 21.2737 | + | 4.23159i | 1.12909 | + | 0.224590i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 10.9652 | − | 16.4106i | 0.580340 | − | 0.868539i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 12.0537 | + | 29.1002i | 0.636170 | + | 1.53585i | 0.831743 | + | 0.555161i | \(0.187343\pi\) |
−0.195573 | + | 0.980689i | \(0.562657\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.265606 | − | 0.641230i | 0.0139793 | − | 0.0337489i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.73414 | − | 18.7728i | −0.195991 | − | 0.985315i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.31856 | − | 9.45639i | −0.330729 | − | 0.494970i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 18.9541 | + | 18.9541i | 0.989396 | + | 0.989396i | 0.999944 | − | 0.0105483i | \(-0.00335770\pi\) |
−0.0105483 | + | 0.999944i | \(0.503358\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −43.5722 | + | 43.5722i | −2.26828 | + | 2.26828i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 14.4068 | − | 9.62634i | 0.747966 | − | 0.499775i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.0597 | + | 4.18903i | −1.09043 | + | 0.216899i | −0.707383 | − | 0.706830i | \(-0.750124\pi\) |
−0.383044 | + | 0.923730i | \(0.625124\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.96841 | + | 0.815342i | 0.101648 | + | 0.0421041i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −5.29437 | + | 2.19300i | −0.272674 | + | 0.112945i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.08942 | − | 2.06428i | −0.158693 | − | 0.106035i | 0.473688 | − | 0.880693i | \(-0.342922\pi\) |
−0.632381 | + | 0.774657i | \(0.717922\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.167484 | − | 0.841999i | 0.00858046 | − | 0.0431369i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −16.3597 | −0.835942 | −0.417971 | − | 0.908460i | \(-0.637259\pi\) | ||||
−0.417971 | + | 0.908460i | \(0.637259\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 13.7115 | 0.698800 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.28813 | + | 11.5032i | −0.116312 | + | 0.584742i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 21.6591 | + | 14.4722i | 1.09816 | + | 0.733768i | 0.966279 | − | 0.257498i | \(-0.0828980\pi\) |
0.131882 | + | 0.991265i | \(0.457898\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.83736 | − | 3.24634i | 0.396352 | − | 0.164174i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 14.1250 | + | 5.85076i | 0.712511 | + | 0.295132i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 47.4444 | − | 9.43728i | 2.38719 | − | 0.474841i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.68511 | − | 2.46232i | 0.184951 | − | 0.123580i | −0.459648 | − | 0.888101i | \(-0.652024\pi\) |
0.644599 | + | 0.764521i | \(0.277024\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 18.2686 | − | 18.2686i | 0.914576 | − | 0.914576i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.30297 | + | 8.30297i | 0.414630 | + | 0.414630i | 0.883348 | − | 0.468718i | \(-0.155284\pi\) |
−0.468718 | + | 0.883348i | \(0.655284\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.41575 | + | 3.61543i | 0.120337 | + | 0.180097i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.866379 | + | 4.35558i | 0.0430507 | + | 0.216431i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 2.00042 | − | 4.82945i | 0.0991573 | − | 0.239387i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.9503 | + | 31.2648i | 0.640350 | + | 1.54594i | 0.826207 | + | 0.563366i | \(0.190494\pi\) |
−0.185857 | + | 0.982577i | \(0.559506\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −27.1588 | + | 40.6460i | −1.33964 | + | 2.00492i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −17.7641 | − | 3.53351i | −0.874117 | − | 0.173873i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.9628i | 1.02902i | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 33.8806i | − | 1.65914i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −15.5325 | − | 3.08960i | −0.758811 | − | 0.150937i | −0.199503 | − | 0.979897i | \(-0.563933\pi\) |
−0.559307 | + | 0.828960i | \(0.688933\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.42193 | − | 2.12807i | 0.0693006 | − | 0.103716i | −0.795201 | − | 0.606346i | \(-0.792634\pi\) |
0.864501 | + | 0.502631i | \(0.167634\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −6.22410 | − | 15.0263i | −0.302626 | − | 0.730604i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 5.95357 | − | 14.3732i | 0.288791 | − | 0.697203i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.16885 | + | 20.9582i | 0.201745 | + | 1.01424i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −7.81460 | − | 11.6954i | −0.377292 | − | 0.564658i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −13.2163 | − | 13.2163i | −0.636606 | − | 0.636606i | 0.313111 | − | 0.949717i | \(-0.398629\pi\) |
−0.949717 | + | 0.313111i | \(0.898629\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.42276 | + | 5.42276i | −0.260601 | + | 0.260601i | −0.825298 | − | 0.564697i | \(-0.808993\pi\) |
0.564697 | + | 0.825298i | \(0.308993\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −17.6001 | + | 11.7600i | −0.843860 | + | 0.563849i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 10.8911 | − | 2.16638i | 0.520993 | − | 0.103632i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.4472 | + | 6.39844i | 0.737255 | + | 0.305381i | 0.719530 | − | 0.694462i | \(-0.244357\pi\) |
0.0177256 | + | 0.999843i | \(0.494357\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 11.5738 | − | 4.79401i | 0.551132 | − | 0.228286i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8.77140 | − | 5.86086i | −0.416742 | − | 0.278458i | 0.329471 | − | 0.944166i | \(-0.393130\pi\) |
−0.746213 | + | 0.665708i | \(0.768130\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.94664 | − | 24.8684i | 0.234493 | − | 1.17888i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 38.2601 | 1.80964 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.0927 | 0.523498 | 0.261749 | − | 0.965136i | \(-0.415701\pi\) | ||||
0.261749 | + | 0.965136i | \(0.415701\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.90267 | − | 24.6474i | 0.230857 | − | 1.16060i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.48258 | + | 2.99516i | 0.210610 | + | 0.140725i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −14.7405 | + | 6.10570i | −0.691044 | + | 0.286240i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 20.2978 | + | 8.40761i | 0.949490 | + | 0.393292i | 0.803039 | − | 0.595926i | \(-0.203215\pi\) |
0.146451 | + | 0.989218i | \(0.453215\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −18.7452 | + | 3.72866i | −0.874953 | + | 0.174039i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 19.1714 | − | 12.8099i | 0.892903 | − | 0.596619i | −0.0222379 | − | 0.999753i | \(-0.507079\pi\) |
0.915141 | + | 0.403134i | \(0.132079\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.19024 | − | 9.19024i | 0.427107 | − | 0.427107i | −0.460535 | − | 0.887642i | \(-0.652342\pi\) |
0.887642 | + | 0.460535i | \(0.152342\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 11.3571 | + | 11.3571i | 0.526673 | + | 0.526673i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.319653 | − | 0.478395i | −0.0147918 | − | 0.0221375i | 0.824000 | − | 0.566590i | \(-0.191738\pi\) |
−0.838792 | + | 0.544452i | \(0.816738\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.14580 | + | 30.8970i | 0.283787 | + | 1.42669i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 20.2668 | − | 48.9284i | 0.933845 | − | 2.25450i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −1.83045 | − | 4.41910i | −0.0841642 | − | 0.203190i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.3141 | − | 16.9328i | 0.519128 | − | 0.776930i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −40.4255 | − | 8.04114i | −1.85096 | − | 0.368178i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 33.0010i | 1.50786i | 0.656957 | + | 0.753928i | \(0.271843\pi\) | ||||
−0.656957 | + | 0.753928i | \(0.728157\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.08268i | 0.277346i | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −15.3710 | − | 3.05748i | −0.699404 | − | 0.139120i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −14.7405 | + | 22.0607i | −0.669332 | + | 1.00173i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.4792 | − | 34.9559i | −0.656116 | − | 1.58400i | −0.803753 | − | 0.594963i | \(-0.797167\pi\) |
0.147637 | − | 0.989042i | \(-0.452833\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −3.60049 | + | 8.69235i | −0.162820 | + | 0.393081i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.13764 | − | 20.8013i | −0.186729 | − | 0.938750i | −0.954542 | − | 0.298076i | \(-0.903655\pi\) |
0.767813 | − | 0.640674i | \(-0.221345\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.33391 | − | 6.48615i | −0.195189 | − | 0.292122i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −23.0637 | − | 23.0637i | −1.03663 | − | 1.03663i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 10.4424 | − | 10.4424i | 0.468404 | − | 0.468404i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −34.2079 | + | 22.8570i | −1.53135 | + | 1.02322i | −0.549079 | + | 0.835770i | \(0.685021\pi\) |
−0.982275 | + | 0.187448i | \(0.939979\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.679177 | − | 0.135097i | 0.0303434 | − | 0.00603568i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 16.6755 | + | 6.90723i | 0.743525 | + | 0.307978i | 0.722097 | − | 0.691792i | \(-0.243179\pi\) |
0.0214284 | + | 0.999770i | \(0.493179\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −42.8157 | + | 17.7349i | −1.90528 | + | 0.789191i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −17.0776 | − | 11.4109i | −0.758444 | − | 0.506776i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 4.55107 | − | 22.8798i | 0.201722 | − | 1.01413i | −0.738678 | − | 0.674058i | \(-0.764550\pi\) |
0.940401 | − | 0.340069i | \(-0.110450\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.74328 | −0.342543 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −25.0185 | −1.10459 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −3.42142 | + | 17.2007i | −0.150766 | + | 0.757952i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.51513 | + | 3.68509i | 0.242555 | + | 0.162070i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 38.9183 | − | 16.1205i | 1.70832 | − | 0.707610i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −25.8128 | − | 10.6920i | −1.13088 | − | 0.468426i | −0.262801 | − | 0.964850i | \(-0.584646\pi\) |
−0.868080 | + | 0.496424i | \(0.834646\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.91430 | − | 0.778602i | 0.171160 | − | 0.0340459i | −0.108766 | − | 0.994067i | \(-0.534690\pi\) |
0.279926 | + | 0.960021i | \(0.409690\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −23.8978 | + | 15.9680i | −1.04299 | + | 0.696901i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −4.18543 | + | 4.18543i | −0.182320 | + | 0.182320i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.5004 | + | 11.5004i | 0.500015 | + | 0.500015i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 23.9370 | + | 35.8242i | 1.03878 | + | 1.55464i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 5.70486 | + | 28.6802i | 0.247105 | + | 1.24228i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15.4960 | − | 37.4107i | 0.669952 | − | 1.61741i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −12.5252 | − | 30.2384i | −0.540501 | − | 1.30488i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.83838 | + | 4.24794i | −0.122258 | + | 0.182972i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −23.5841 | − | 4.69116i | −1.01396 | − | 0.201689i | −0.339974 | − | 0.940435i | \(-0.610418\pi\) |
−0.673984 | + | 0.738746i | \(0.735418\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | − | 24.1337i | − | 1.03568i | ||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 30.3072i | 1.29822i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.9505 | + | 3.76948i | 0.810263 | + | 0.161171i | 0.582800 | − | 0.812615i | \(-0.301957\pi\) |
0.227463 | + | 0.973787i | \(0.426957\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 28.2409 | − | 42.2656i | 1.20529 | − | 1.80385i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.90773 | − | 9.43410i | −0.166475 | − | 0.401906i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.6037 | − | 30.4279i | 0.535962 | − | 1.29393i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.38329 | + | 22.0363i | 0.186060 | + | 0.935387i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 9.35372 | + | 13.9988i | 0.396330 | + | 0.593149i | 0.974944 | − | 0.222452i | \(-0.0714062\pi\) |
−0.578614 | + | 0.815602i | \(0.696406\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.93564 | + | 3.93564i | 0.166460 | + | 0.166460i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 13.5392 | − | 13.5392i | 0.571627 | − | 0.571627i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −33.2172 | + | 22.1950i | −1.39994 | + | 0.935409i | −0.400119 | + | 0.916463i | \(0.631031\pi\) |
−0.999821 | + | 0.0189460i | \(0.993969\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 20.6102 | − | 4.09962i | 0.867077 | − | 0.172472i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 2.79340 | + | 1.15706i | 0.117312 | + | 0.0485922i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 14.9275 | − | 6.18318i | 0.625794 | − | 0.259212i | −0.0471707 | − | 0.998887i | \(-0.515020\pi\) |
0.672965 | + | 0.739674i | \(0.265020\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.6636 | + | 7.12517i | 0.446257 | + | 0.298179i | 0.758320 | − | 0.651882i | \(-0.226020\pi\) |
−0.312064 | + | 0.950061i | \(0.601020\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.49596 | − | 17.5754i | 0.146046 | − | 0.734223i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −12.3535 | −0.515175 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −18.6883 | −0.778002 | −0.389001 | − | 0.921237i | \(-0.627180\pi\) | ||||
−0.389001 | + | 0.921237i | \(0.627180\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 5.82419 | − | 29.2802i | 0.242045 | − | 1.21684i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 11.8670 | + | 7.92928i | 0.492327 | + | 0.328962i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 15.5299 | − | 6.43271i | 0.643184 | − | 0.266416i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 35.0648 | + | 14.5243i | 1.44975 | + | 0.600506i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −16.9938 | + | 3.38028i | −0.701409 | + | 0.139519i | −0.532896 | − | 0.846180i | \(-0.678896\pi\) |
−0.168513 | + | 0.985699i | \(0.553896\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.44237 | + | 4.30465i | −0.265453 | + | 0.177370i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −31.5322 | + | 31.5322i | −1.29706 | + | 1.29706i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −5.79685 | − | 5.79685i | −0.238048 | − | 0.238048i | 0.577993 | − | 0.816042i | \(-0.303836\pi\) |
−0.816042 | + | 0.577993i | \(0.803836\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −12.0664 | − | 18.0586i | −0.494673 | − | 0.740330i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −15.2315 | − | 76.5739i | −0.623384 | − | 3.13396i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 6.07554 | − | 14.6677i | 0.248240 | − | 0.599304i | −0.749815 | − | 0.661648i | \(-0.769857\pi\) |
0.998055 | + | 0.0623435i | \(0.0198574\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.70092 | − | 23.4201i | −0.395709 | − | 0.955325i | −0.988672 | − | 0.150095i | \(-0.952042\pi\) |
0.592963 | − | 0.805230i | \(-0.297958\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 41.6333 | − | 62.3087i | 1.69544 | − | 2.53741i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −20.6580 | − | 4.10914i | −0.839868 | − | 0.167060i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.795354i | 0.0322824i | 0.999870 | + | 0.0161412i | \(0.00513813\pi\) | ||||
−0.999870 | + | 0.0161412i | \(0.994862\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 14.4117i | 0.583991i | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −7.57000 | − | 1.50577i | −0.306249 | − | 0.0609168i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.28756 | + | 3.42358i | −0.0923939 | + | 0.138277i | −0.874787 | − | 0.484508i | \(-0.838999\pi\) |
0.782393 | + | 0.622785i | \(0.213999\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 41.3350 | + | 99.7915i | 1.66679 | + | 4.02398i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.1612 | + | 39.0166i | −0.650626 | + | 1.57075i | 0.161246 | + | 0.986914i | \(0.448449\pi\) |
−0.811872 | + | 0.583836i | \(0.801551\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.87121 | − | 14.4345i | −0.115404 | − | 0.580173i | −0.994606 | − | 0.103725i | \(-0.966924\pi\) |
0.879202 | − | 0.476448i | \(-0.158076\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 8.43154 | + | 12.6187i | 0.338346 | + | 0.506370i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −12.2069 | − | 12.2069i | −0.489059 | − | 0.489059i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 18.4862 | − | 18.4862i | 0.739448 | − | 0.739448i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 20.8401 | − | 13.9249i | 0.832274 | − | 0.556107i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −8.12102 | + | 1.61537i | −0.323806 | + | 0.0644090i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.2699 | − | 14.6093i | −1.40407 | − | 0.581586i | −0.453268 | − | 0.891374i | \(-0.649742\pi\) |
−0.950806 | + | 0.309788i | \(0.899742\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 59.2091 | − | 24.5252i | 2.35335 | − | 0.974790i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.785496 | − | 0.524852i | −0.0311715 | − | 0.0208281i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.15979 | − | 5.83067i | 0.0459526 | − | 0.231020i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −35.1296 | −1.38971 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 11.8042 | 0.466237 | 0.233119 | − | 0.972448i | \(-0.425107\pi\) | ||||
0.233119 | + | 0.972448i | \(0.425107\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.84656 | − | 14.3106i | 0.112257 | − | 0.564355i | −0.883188 | − | 0.469019i | \(-0.844607\pi\) |
0.995445 | − | 0.0953360i | \(-0.0303926\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 17.0941 | + | 11.4219i | 0.673080 | + | 0.449737i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 6.76078 | − | 2.80041i | 0.265794 | − | 0.110095i | −0.245807 | − | 0.969319i | \(-0.579053\pi\) |
0.511600 | + | 0.859224i | \(0.329053\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −16.2337 | − | 6.72422i | −0.637229 | − | 0.263949i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.7251 | − | 2.13336i | 0.420351 | − | 0.0836130i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 9.41350 | − | 6.28990i | 0.368379 | − | 0.246143i | −0.357578 | − | 0.933883i | \(-0.616397\pi\) |
0.725957 | + | 0.687741i | \(0.241397\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.8965 | − | 11.8965i | 0.464833 | − | 0.464833i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 13.0248 | + | 13.0248i | 0.508144 | + | 0.508144i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.27371 | + | 9.38927i | 0.244389 | + | 0.365754i | 0.933303 | − | 0.359089i | \(-0.116912\pi\) |
−0.688914 | + | 0.724843i | \(0.741912\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.0233980 | − | 0.117629i | −0.000910075 | − | 0.00457526i | 0.980328 | − | 0.197377i | \(-0.0632424\pi\) |
−0.981238 | + | 0.192802i | \(0.938242\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −8.52632 | + | 20.5843i | −0.331135 | + | 0.799430i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −10.8798 | − | 26.2662i | −0.421901 | − | 1.01856i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.44136 | + | 5.15036i | −0.133250 | + | 0.199423i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 22.5904 | + | 4.49352i | 0.873396 | + | 0.173729i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 20.7306i | 0.800298i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 41.1783i | − | 1.58731i | −0.608371 | − | 0.793653i | \(-0.708177\pi\) | ||
0.608371 | − | 0.793653i | \(-0.291823\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 27.2977 | + | 5.42984i | 1.05069 | + | 0.208995i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −13.0241 | + | 19.4920i | −0.500557 | + | 0.749137i | −0.992599 | − | 0.121435i | \(-0.961251\pi\) |
0.492042 | + | 0.870571i | \(0.336251\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.91289 | + | 16.6892i | 0.265292 | + | 0.640472i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −12.6204 | + | 30.4683i | −0.483615 | + | 1.16755i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.94439 | − | 14.8024i | −0.112664 | − | 0.566399i | −0.995341 | − | 0.0964191i | \(-0.969261\pi\) |
0.882677 | − | 0.469980i | \(-0.155739\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 29.8862 | + | 44.7278i | 1.14189 | + | 1.70896i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 44.3956 | + | 44.3956i | 1.69380 | + | 1.69380i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −13.8309 | + | 13.8309i | −0.526917 | + | 0.526917i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 23.4953 | − | 15.6991i | 0.893805 | − | 0.597221i | −0.0215953 | − | 0.999767i | \(-0.506875\pi\) |
0.915400 | + | 0.402546i | \(0.131875\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −21.7803 | + | 4.33236i | −0.827364 | + | 0.164573i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −34.4451 | − | 14.2676i | −1.30658 | − | 0.541202i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −36.7761 | + | 15.2332i | −1.39299 | + | 0.576997i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 3.75975 | + | 2.51218i | 0.142207 | + | 0.0950194i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.68037 | − | 8.44781i | 0.0634668 | − | 0.319069i | −0.935990 | − | 0.352027i | \(-0.885493\pi\) |
0.999457 | + | 0.0329575i | \(0.0104926\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.8388 | −0.408792 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −28.5096 | −1.07373 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −6.15559 | + | 30.9462i | −0.231505 | + | 1.16385i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.70687 | − | 6.48592i | −0.364549 | − | 0.243584i | 0.359782 | − | 0.933036i | \(-0.382851\pi\) |
−0.724331 | + | 0.689453i | \(0.757851\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −72.3823 | + | 29.9817i | −2.71455 | + | 1.12440i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.34231 | + | 1.79865i | 0.162621 | + | 0.0673598i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −15.1811 | + | 3.01970i | −0.567739 | + | 0.112930i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −3.57303 | + | 2.38743i | −0.133437 | + | 0.0891600i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 22.6553 | − | 22.6553i | 0.844899 | − | 0.844899i | −0.144592 | − | 0.989491i | \(-0.546187\pi\) |
0.989491 | + | 0.144592i | \(0.0461871\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.44310 | + | 8.44310i | 0.314438 | + | 0.314438i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 25.8498 | + | 38.6869i | 0.961364 | + | 1.43878i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.21621 | + | 11.1416i | 0.0823080 | + | 0.413790i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.7776 | + | 35.6764i | −0.548072 | + | 1.32316i | 0.370839 | + | 0.928697i | \(0.379070\pi\) |
−0.918911 | + | 0.394466i | \(0.870930\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 16.3059 | + | 39.3660i | 0.603923 | + | 1.45800i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.20931 | + | 6.29968i | −0.155687 | + | 0.233002i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.4550 | + | 2.47746i | 0.460037 | + | 0.0915071i | 0.419668 | − | 0.907678i | \(-0.362147\pi\) |
0.0403693 | + | 0.999185i | \(0.487147\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | − | 21.9591i | − | 0.809972i | ||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 30.5615i | 1.12575i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.370926 | − | 0.0737817i | −0.0136447 | − | 0.00271410i | 0.188263 | − | 0.982119i | \(-0.439714\pi\) |
−0.201908 | + | 0.979405i | \(0.564714\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −16.2034 | + | 24.2500i | −0.595245 | + | 0.890847i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 10.5484 | + | 25.4660i | 0.386983 | + | 0.934259i | 0.990576 | + | 0.136966i | \(0.0437351\pi\) |
−0.603593 | + | 0.797292i | \(0.706265\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 16.1119 | − | 38.8975i | 0.590294 | − | 1.42510i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −6.62354 | − | 33.2988i | −0.242343 | − | 1.21834i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −15.3167 | − | 22.9231i | −0.559661 | − | 0.837591i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −33.7123 | − | 33.7123i | −1.23018 | − | 1.23018i | −0.963894 | − | 0.266286i | \(-0.914203\pi\) |
−0.266286 | − | 0.963894i | \(-0.585797\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −7.73712 | + | 7.73712i | −0.281956 | + | 0.281956i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 4.93274 | − | 3.29595i | 0.179521 | − | 0.119952i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 0.880215 | − | 0.175086i | 0.0319920 | − | 0.00636360i | −0.179068 | − | 0.983837i | \(-0.557308\pi\) |
0.211060 | + | 0.977473i | \(0.432308\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −14.0467 | − | 5.81835i | −0.509864 | − | 0.211193i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 25.8419 | − | 10.7040i | 0.936766 | − | 0.388021i | 0.138525 | − | 0.990359i | \(-0.455764\pi\) |
0.798241 | + | 0.602338i | \(0.205764\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.1569 | + | 11.4639i | 0.621121 | + | 0.415020i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −10.0794 | + | 50.6724i | −0.364420 | + | 1.83206i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 20.4463 | 0.738273 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −30.4304 | −1.09735 | −0.548674 | − | 0.836036i | \(-0.684867\pi\) | ||||
−0.548674 | + | 0.836036i | \(0.684867\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.87294 | − | 34.5526i | 0.247523 | − | 1.24438i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −7.79837 | − | 5.21070i | −0.280488 | − | 0.187416i | 0.407366 | − | 0.913265i | \(-0.366447\pi\) |
−0.687854 | + | 0.725849i | \(0.741447\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.96352 | − | 3.29860i | 0.286058 | − | 0.118489i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 14.1327 | + | 5.85396i | 0.507008 | + | 0.210010i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −51.1056 | + | 10.1655i | −1.83105 | + | 0.364218i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 11.9122 | − | 7.95949i | 0.426253 | − | 0.284813i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 9.86823 | − | 9.86823i | 0.352662 | − | 0.352662i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −41.2089 | − | 41.2089i | −1.47081 | − | 1.47081i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.4919 | − | 29.1717i | −0.694813 | − | 1.03986i | −0.996262 | − | 0.0863785i | \(-0.972471\pi\) |
0.301450 | − | 0.953482i | \(-0.402529\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.980928 | − | 4.93146i | −0.0349220 | − | 0.175565i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 5.47512 | − | 13.2181i | 0.194673 | − | 0.469982i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9.23134 | − | 22.2864i | −0.327815 | − | 0.791414i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −40.1398 | + | 60.0734i | −1.42361 | + | 2.13058i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −11.1662 | − | 2.22109i | −0.395526 | − | 0.0786751i | −0.00667994 | − | 0.999978i | \(-0.502126\pi\) |
−0.388846 | + | 0.921303i | \(0.627126\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 10.5066i | − | 0.371698i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 41.0658i | 1.45099i | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.36769 | − | 1.46552i | −0.260000 | − | 0.0517172i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −9.58136 | + | 14.3395i | −0.337699 | + | 0.505402i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −34.2839 | − | 82.7687i | −1.20685 | − | 2.91360i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −3.82483 | + | 9.23396i | −0.134474 | + | 0.324649i | −0.976745 | − | 0.214406i | \(-0.931218\pi\) |
0.842271 | + | 0.539055i | \(0.181218\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 9.50273 | + | 47.7735i | 0.333686 | + | 1.67755i | 0.675168 | + | 0.737664i | \(0.264071\pi\) |
−0.341482 | + | 0.939888i | \(0.610929\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.54134 | + | 5.29999i | 0.124200 | + | 0.185879i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 7.32094 | + | 7.32094i | 0.256441 | + | 0.256441i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.01296 | + | 7.01296i | −0.245352 | + | 0.245352i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 21.4856 | − | 14.3562i | 0.750768 | − | 0.501647i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 13.9146 | − | 2.76779i | 0.485623 | − | 0.0965965i | 0.0537945 | − | 0.998552i | \(-0.482868\pi\) |
0.431829 | + | 0.901956i | \(0.357868\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 42.1742 | + | 17.4691i | 1.47010 | + | 0.608935i | 0.966882 | − | 0.255225i | \(-0.0821497\pi\) |
0.503217 | + | 0.864160i | \(0.332150\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −25.7608 | + | 10.6705i | −0.896876 | + | 0.371498i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 18.5286 | + | 12.3804i | 0.644302 | + | 0.430509i | 0.834326 | − | 0.551271i | \(-0.185857\pi\) |
−0.190025 | + | 0.981779i | \(0.560857\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.53766 | + | 42.9217i | −0.296525 | + | 1.49073i | 0.489208 | + | 0.872167i | \(0.337286\pi\) |
−0.785733 | + | 0.618565i | \(0.787714\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 14.1218 | 0.489881 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 8.09256 | 0.280391 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.148664 | − | 0.747383i | 0.00514472 | − | 0.0258643i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −8.80471 | − | 5.88312i | −0.304335 | − | 0.203350i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 31.4108 | − | 13.0108i | 1.08442 | − | 0.449182i | 0.232364 | − | 0.972629i | \(-0.425354\pi\) |
0.852059 | + | 0.523446i | \(0.175354\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21.5300 | − | 8.91801i | −0.742414 | − | 0.307518i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 5.51560 | − | 1.09712i | 0.189967 | − | 0.0377868i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −18.7926 | + | 12.5568i | −0.646487 | + | 0.431969i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.1402 | + | 10.1402i | −0.348421 | + | 0.348421i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −19.6069 | − | 19.6069i | −0.672906 | − | 0.672906i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.65280 | + | 5.46680i | 0.125216 | + | 0.187400i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 10.2217 | + | 51.3880i | 0.349984 | + | 1.75949i | 0.608568 | + | 0.793502i | \(0.291744\pi\) |
−0.258583 | + | 0.965989i | \(0.583256\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −25.8810 | + | 62.4822i | −0.885111 | + | 2.13685i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 5.90193 | + | 14.2485i | 0.201606 | + | 0.486720i | 0.992055 | − | 0.125808i | \(-0.0401524\pi\) |
−0.790448 | + | 0.612529i | \(0.790152\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 32.4534 | − | 48.5700i | 1.10730 | − | 1.65719i | 0.484550 | − | 0.874764i | \(-0.338983\pi\) |
0.622747 | − | 0.782423i | \(-0.286017\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 72.1270 | + | 14.3470i | 2.45808 | + | 0.488943i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 32.8866i | 1.11947i | 0.828671 | + | 0.559736i | \(0.189098\pi\) | ||||
−0.828671 | + | 0.559736i | \(0.810902\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | − | 46.3552i | − | 1.57612i | ||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 17.5884 | + | 3.49855i | 0.597334 | + | 0.118817i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 17.7512 | − | 26.5666i | 0.602169 | − | 0.901209i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −13.6090 | − | 32.8551i | −0.461124 | − | 1.11325i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 16.4444 | − | 39.7004i | 0.556560 | − | 1.34365i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −0.311417 | − | 1.56560i | −0.0105278 | − | 0.0529269i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.14533 | + | 9.19714i | 0.207513 | + | 0.310565i | 0.920597 | − | 0.390513i | \(-0.127702\pi\) |
−0.713084 | + | 0.701078i | \(0.752702\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 24.0520 | + | 24.0520i | 0.811255 | + | 0.811255i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 11.2198 | − | 11.2198i | 0.378006 | − | 0.378006i | −0.492376 | − | 0.870382i | \(-0.663872\pi\) |
0.870382 | + | 0.492376i | \(0.163872\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.8483 | + | 19.9440i | −1.00447 | + | 0.671168i | −0.945003 | − | 0.327062i | \(-0.893941\pi\) |
−0.0594714 | + | 0.998230i | \(0.518941\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 74.0727 | − | 14.7340i | 2.48993 | − | 0.495277i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 32.5314 | + | 13.4749i | 1.09230 | + | 0.452444i | 0.854807 | − | 0.518946i | \(-0.173676\pi\) |
0.237489 | + | 0.971390i | \(0.423676\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.594236 | + | 0.246141i | −0.0199300 | + | 0.00825529i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.43891 | + | 1.62963i | 0.0817067 | + | 0.0545947i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2.68314 | − | 13.4891i | 0.0897878 | − | 0.451394i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −36.0167 | −1.20391 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 17.6918 | 0.590713 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.843195 | − | 4.23903i | 0.0281221 | − | 0.141379i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −22.1388 | − | 14.7927i | −0.737551 | − | 0.492816i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 12.9319 | − | 5.35655i | 0.430346 | − | 0.178255i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −24.5358 | − | 10.1631i | −0.815597 | − | 0.337831i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 49.0725 | − | 9.76113i | 1.62943 | − | 0.324113i | 0.706095 | − | 0.708117i | \(-0.250455\pi\) |
0.923331 | + | 0.384004i | \(0.125455\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 62.4080 | − | 41.6997i | 2.06994 | − | 1.38309i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.673519 | − | 0.673519i | 0.0223147 | − | 0.0223147i | −0.695861 | − | 0.718176i | \(-0.744977\pi\) |
0.718176 | + | 0.695861i | \(0.244977\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.79066 | + | 9.79066i | 0.324024 | + | 0.324024i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −49.5032 | − | 74.0868i | −1.63653 | − | 2.44923i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −2.23468 | − | 11.2345i | −0.0737955 | − | 0.370995i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −18.8450 | + | 45.4958i | −0.621639 | + | 1.50077i | 0.228139 | + | 0.973628i | \(0.426736\pi\) |
−0.849778 | + | 0.527140i | \(0.823264\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 12.5411 | + | 30.2768i | 0.413242 | + | 0.997654i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −9.26185 | + | 13.8613i | −0.304857 | + | 0.456251i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.8262 | + | 2.35238i | 0.388843 | + | 0.0773456i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | − | 28.4038i | − | 0.932904i | ||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 37.0292i | − | 1.21489i | −0.794362 | − | 0.607445i | \(-0.792195\pi\) | ||
0.794362 | − | 0.607445i | \(-0.207805\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.3897 | + | 2.06664i | 0.340510 | + | 0.0677316i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −36.8250 | + | 55.1124i | −1.20559 | + | 1.80430i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −8.06323 | − | 19.4664i | −0.263696 | − | 0.636618i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −13.0321 | + | 31.4623i | −0.425740 | + | 1.02783i | 0.554884 | + | 0.831928i | \(0.312763\pi\) |
−0.980624 | + | 0.195900i | \(0.937237\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.995217 | − | 5.00329i | −0.0324777 | − | 0.163276i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −14.1954 | − | 21.2450i | −0.462758 | − | 0.692566i | 0.524551 | − | 0.851379i | \(-0.324233\pi\) |
−0.987309 | + | 0.158813i | \(0.949233\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 22.3504 | + | 22.3504i | 0.727831 | + | 0.727831i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 27.4749 | − | 27.4749i | 0.893758 | − | 0.893758i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 43.8404 | − | 29.2932i | 1.42462 | − | 0.951902i | 0.425730 | − | 0.904850i | \(-0.360017\pi\) |
0.998892 | − | 0.0470518i | \(-0.0149826\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.57321 | − | 1.70532i | 0.278298 | − | 0.0553570i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −39.0236 | − | 16.1641i | −1.26543 | − | 0.524157i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 2.18380 | − | 0.904560i | 0.0707403 | − | 0.0293016i | −0.347033 | − | 0.937853i | \(-0.612811\pi\) |
0.417773 | + | 0.908551i | \(0.362811\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −16.3960 | − | 10.9555i | −0.530562 | − | 0.354510i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −2.72761 | + | 13.7126i | −0.0881711 | + | 0.443266i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 36.6250 | 1.18268 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 27.7205 | 0.894210 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −12.7945 | + | 64.3221i | −0.412296 | + | 2.07275i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −27.3153 | − | 18.2515i | −0.879312 | − | 0.587537i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −44.4518 | + | 18.4125i | −1.42947 | + | 0.592107i | −0.957221 | − | 0.289357i | \(-0.906559\pi\) |
−0.472251 | + | 0.881464i | \(0.656559\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −36.6794 | − | 15.1931i | −1.17831 | − | 0.488074i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 8.20968 | − | 1.63301i | 0.263461 | − | 0.0524057i | −0.0615920 | − | 0.998101i | \(-0.519618\pi\) |
0.325053 | + | 0.945696i | \(0.394618\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −21.1059 | + | 14.1025i | −0.676625 | + | 0.452106i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 22.9425 | − | 22.9425i | 0.734749 | − | 0.734749i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 13.9697 | + | 13.9697i | 0.446930 | + | 0.446930i | 0.894333 | − | 0.447403i | \(-0.147651\pi\) |
−0.447403 | + | 0.894333i | \(0.647651\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9.30447 | − | 13.9251i | −0.297372 | − | 0.445049i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −9.57607 | − | 48.1421i | −0.305740 | − | 1.53706i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 18.1142 | − | 43.7315i | 0.577753 | − | 1.39482i | −0.317072 | − | 0.948401i | \(-0.602700\pi\) |
0.894825 | − | 0.446417i | \(-0.147300\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 18.7788 | + | 45.3361i | 0.598344 | + | 1.44453i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −10.7839 | + | 16.1392i | −0.343255 | + | 0.513718i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 5.90061 | + | 1.17370i | 0.187628 | + | 0.0373216i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 14.8761i | 0.472553i | 0.971686 | + | 0.236277i | \(0.0759272\pi\) | ||||
−0.971686 | + | 0.236277i | \(0.924073\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 15.9574i | − | 0.506392i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −84.2638 | − | 16.7611i | −2.67134 | − | 0.531363i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 17.6104 | − | 26.3559i | 0.557728 | − | 0.834698i | −0.440276 | − | 0.897863i | \(-0.645119\pi\) |
0.998003 | + | 0.0631644i | \(0.0201193\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −5.66878 | − | 13.6856i | −0.179352 | − | 0.432994i |
(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 | 256.2.i.a.81.1 | 56 | ||
4.3 | odd | 2 | 64.2.i.a.61.4 | yes | 56 | ||
8.3 | odd | 2 | 512.2.i.b.417.1 | 56 | |||
8.5 | even | 2 | 512.2.i.a.417.7 | 56 | |||
12.11 | even | 2 | 576.2.bd.a.253.4 | 56 | |||
64.11 | odd | 16 | 512.2.i.b.97.1 | 56 | |||
64.21 | even | 16 | inner | 256.2.i.a.177.1 | 56 | ||
64.43 | odd | 16 | 64.2.i.a.21.4 | ✓ | 56 | ||
64.53 | even | 16 | 512.2.i.a.97.7 | 56 | |||
192.107 | even | 16 | 576.2.bd.a.469.4 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.21.4 | ✓ | 56 | 64.43 | odd | 16 | ||
64.2.i.a.61.4 | yes | 56 | 4.3 | odd | 2 | ||
256.2.i.a.81.1 | 56 | 1.1 | even | 1 | trivial | ||
256.2.i.a.177.1 | 56 | 64.21 | even | 16 | inner | ||
512.2.i.a.97.7 | 56 | 64.53 | even | 16 | |||
512.2.i.a.417.7 | 56 | 8.5 | even | 2 | |||
512.2.i.b.97.1 | 56 | 64.11 | odd | 16 | |||
512.2.i.b.417.1 | 56 | 8.3 | odd | 2 | |||
576.2.bd.a.253.4 | 56 | 12.11 | even | 2 | |||
576.2.bd.a.469.4 | 56 | 192.107 | even | 16 |