Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(37,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.bk (of order \(24\), 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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | no (minimal twist has level 288) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 37.9 | ||
Character | \(\chi\) | \(=\) | 864.37 |
Dual form | 864.2.bk.a.397.9 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15525 | + | 0.815721i | −0.816884 | + | 0.576802i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.669198 | − | 1.88472i | 0.334599 | − | 0.942361i | ||||
\(5\) | −1.28782 | + | 0.988180i | −0.575931 | + | 0.441928i | −0.855209 | − | 0.518283i | \(-0.826572\pi\) |
0.279278 | + | 0.960210i | \(0.409905\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.0841003 | + | 0.313867i | −0.0317869 | + | 0.118630i | −0.979996 | − | 0.199015i | \(-0.936226\pi\) |
0.948209 | + | 0.317646i | \(0.102892\pi\) | |||||||
\(8\) | 0.764318 | + | 2.72320i | 0.270227 | + | 0.962797i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.681674 | − | 2.19210i | 0.215564 | − | 0.693202i | ||||
\(11\) | −0.0367145 | + | 0.00483355i | −0.0110698 | + | 0.00145737i | −0.136059 | − | 0.990701i | \(-0.543444\pi\) |
0.124989 | + | 0.992158i | \(0.460110\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.667924 | − | 5.07339i | 0.185249 | − | 1.40710i | −0.605929 | − | 0.795519i | \(-0.707199\pi\) |
0.791178 | − | 0.611586i | \(-0.209468\pi\) | |||||||
\(14\) | −0.158871 | − | 0.431196i | −0.0424600 | − | 0.115242i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.10435 | − | 2.52250i | −0.776087 | − | 0.630626i | ||||
\(17\) | − | 0.259265i | − | 0.0628809i | −0.999506 | − | 0.0314405i | \(-0.989991\pi\) | ||
0.999506 | − | 0.0314405i | \(-0.0100095\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.17237 | − | 0.899824i | 0.498375 | − | 0.206434i | −0.119313 | − | 0.992857i | \(-0.538069\pi\) |
0.617688 | + | 0.786423i | \(0.288069\pi\) | |||||||
\(20\) | 1.00064 | + | 3.08847i | 0.223749 | + | 0.690604i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0384715 | − | 0.0355327i | 0.00820215 | − | 0.00757560i | ||||
\(23\) | −0.774456 | − | 2.89031i | −0.161485 | − | 0.602671i | −0.998462 | − | 0.0554333i | \(-0.982346\pi\) |
0.836977 | − | 0.547238i | \(-0.184321\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.612111 | + | 2.28443i | −0.122422 | + | 0.456886i | ||||
\(26\) | 3.36685 | + | 6.40586i | 0.660294 | + | 1.25629i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.535271 | + | 0.368544i | 0.101157 | + | 0.0696483i | ||||
\(29\) | −0.174689 | + | 0.227659i | −0.0324389 | + | 0.0422751i | −0.809291 | − | 0.587408i | \(-0.800149\pi\) |
0.776852 | + | 0.629683i | \(0.216815\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.655344 | + | 1.13509i | −0.117703 | + | 0.203868i | −0.918857 | − | 0.394590i | \(-0.870886\pi\) |
0.801154 | + | 0.598458i | \(0.204220\pi\) | |||||||
\(32\) | 5.64395 | + | 0.381833i | 0.997719 | + | 0.0674992i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.211488 | + | 0.299515i | 0.0362698 | + | 0.0513664i | ||||
\(35\) | −0.201851 | − | 0.487310i | −0.0341190 | − | 0.0823705i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.83125 | + | 0.758528i | 0.301055 | + | 0.124701i | 0.528097 | − | 0.849184i | \(-0.322906\pi\) |
−0.227042 | + | 0.973885i | \(0.572906\pi\) | |||||||
\(38\) | −1.77562 | + | 2.81157i | −0.288043 | + | 0.456096i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.67532 | − | 2.75171i | −0.581119 | − | 0.435084i | ||||
\(41\) | −1.86423 | − | 6.95740i | −0.291144 | − | 1.08656i | −0.944232 | − | 0.329282i | \(-0.893193\pi\) |
0.653088 | − | 0.757282i | \(-0.273473\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.20511 | − | 1.08022i | 1.25127 | − | 0.164733i | 0.524378 | − | 0.851486i | \(-0.324298\pi\) |
0.726891 | + | 0.686753i | \(0.240965\pi\) | |||||||
\(44\) | −0.0154593 | + | 0.0724312i | −0.00233058 | + | 0.0109194i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.25238 | + | 2.70728i | 0.479537 | + | 0.399167i | ||||
\(47\) | 6.61072 | − | 3.81670i | 0.964272 | − | 0.556723i | 0.0667869 | − | 0.997767i | \(-0.478725\pi\) |
0.897485 | + | 0.441045i | \(0.145392\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.97074 | + | 3.44721i | 0.852963 | + | 0.492458i | ||||
\(50\) | −1.15632 | − | 3.13839i | −0.163528 | − | 0.443836i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −9.11495 | − | 4.65395i | −1.26402 | − | 0.645387i | ||||
\(53\) | 2.72780 | − | 6.58549i | 0.374692 | − | 0.904586i | −0.618250 | − | 0.785982i | \(-0.712158\pi\) |
0.992942 | − | 0.118605i | \(-0.0378421\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0425053 | − | 0.0425053i | 0.00573141 | − | 0.00573141i | ||||
\(56\) | −0.919001 | + | 0.0108719i | −0.122807 | + | 0.00145281i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.0161028 | − | 0.405499i | 0.00211439 | − | 0.0532447i | ||||
\(59\) | 10.5427 | − | 8.08970i | 1.37254 | − | 1.05319i | 0.380839 | − | 0.924641i | \(-0.375635\pi\) |
0.991703 | − | 0.128548i | \(-0.0410315\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.51806 | − | 5.88805i | 0.578478 | − | 0.753887i | −0.408846 | − | 0.912603i | \(-0.634069\pi\) |
0.987324 | + | 0.158716i | \(0.0507355\pi\) | |||||||
\(62\) | −0.168831 | − | 1.84589i | −0.0214416 | − | 0.234428i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.83164 | + | 4.16278i | −0.853955 | + | 0.520348i | ||||
\(65\) | 4.15326 | + | 7.19365i | 0.515148 | + | 0.892262i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.949915 | − | 0.125059i | −0.116051 | − | 0.0152783i | 0.0722772 | − | 0.997385i | \(-0.476973\pi\) |
−0.188328 | + | 0.982106i | \(0.560307\pi\) | |||||||
\(68\) | −0.488642 | − | 0.173499i | −0.0592565 | − | 0.0210399i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.630697 | + | 0.398311i | 0.0753827 | + | 0.0476072i | ||||
\(71\) | −5.16049 | − | 5.16049i | −0.612437 | − | 0.612437i | 0.331143 | − | 0.943580i | \(-0.392566\pi\) |
−0.943580 | + | 0.331143i | \(0.892566\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.80103 | + | 9.80103i | −1.14712 | + | 1.14712i | −0.160009 | + | 0.987116i | \(0.551152\pi\) |
−0.987116 | + | 0.160009i | \(0.948848\pi\) | |||||||
\(74\) | −2.73429 | + | 0.617500i | −0.317855 | + | 0.0717829i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.242174 | − | 4.69647i | −0.0277793 | − | 0.538722i | ||||
\(77\) | 0.00157061 | − | 0.0119299i | 0.000178987 | − | 0.00135954i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 13.1750 | − | 7.60662i | 1.48231 | − | 0.855811i | 0.482510 | − | 0.875890i | \(-0.339725\pi\) |
0.999798 | + | 0.0200789i | \(0.00639175\pi\) | |||||||
\(80\) | 6.49054 | + | 0.180876i | 0.725664 | + | 0.0202226i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.82895 | + | 6.51684i | 0.864563 | + | 0.719664i | ||||
\(83\) | 11.4321 | + | 8.77216i | 1.25484 | + | 0.962870i | 0.999992 | − | 0.00411184i | \(-0.00130884\pi\) |
0.254845 | + | 0.966982i | \(0.417976\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.256200 | + | 0.333887i | 0.0277888 | + | 0.0362151i | ||||
\(86\) | −8.59778 | + | 7.94101i | −0.927123 | + | 0.856301i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.0412243 | − | 0.0962865i | −0.00439452 | − | 0.0102642i | ||||
\(89\) | −4.05181 | − | 4.05181i | −0.429491 | − | 0.429491i | 0.458964 | − | 0.888455i | \(-0.348221\pi\) |
−0.888455 | + | 0.458964i | \(0.848221\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.53619 | + | 0.636312i | 0.161037 | + | 0.0667037i | ||||
\(92\) | −5.96569 | − | 0.474554i | −0.621966 | − | 0.0494757i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.52366 | + | 9.80174i | −0.466580 | + | 1.01097i | ||||
\(95\) | −1.90843 | + | 3.30550i | −0.195801 | + | 0.339138i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.22067 | − | 9.04247i | −0.530079 | − | 0.918123i | −0.999384 | − | 0.0350875i | \(-0.988829\pi\) |
0.469305 | − | 0.883036i | \(-0.344504\pi\) | |||||||
\(98\) | −9.70965 | + | 0.888077i | −0.980822 | + | 0.0897094i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.89589 | + | 2.68239i | 0.389589 | + | 0.268239i | ||||
\(101\) | 1.24813 | + | 9.48049i | 0.124194 | + | 0.943344i | 0.934157 | + | 0.356863i | \(0.116154\pi\) |
−0.809963 | + | 0.586481i | \(0.800513\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.11028 | − | 2.17314i | 0.799130 | − | 0.214126i | 0.163928 | − | 0.986472i | \(-0.447584\pi\) |
0.635202 | + | 0.772346i | \(0.280917\pi\) | |||||||
\(104\) | 14.3264 | − | 2.05879i | 1.40481 | − | 0.201881i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.22064 | + | 9.83300i | 0.215687 | + | 0.955065i | ||||
\(107\) | −5.77649 | + | 13.9457i | −0.558435 | + | 1.34818i | 0.352571 | + | 0.935785i | \(0.385308\pi\) |
−0.911005 | + | 0.412395i | \(0.864692\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 17.3516 | − | 7.18725i | 1.66198 | − | 0.688414i | 0.663751 | − | 0.747953i | \(-0.268963\pi\) |
0.998226 | + | 0.0595396i | \(0.0189633\pi\) | |||||||
\(110\) | −0.0144317 | + | 0.0837766i | −0.00137601 | + | 0.00798779i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.05281 | − | 0.762208i | 0.0994808 | − | 0.0720219i | ||||
\(113\) | −4.17527 | − | 2.41059i | −0.392776 | − | 0.226769i | 0.290586 | − | 0.956849i | \(-0.406150\pi\) |
−0.683362 | + | 0.730079i | \(0.739483\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.85351 | + | 2.95690i | 0.359341 | + | 0.275732i | ||||
\(116\) | 0.312172 | + | 0.481588i | 0.0289844 | + | 0.0447143i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −5.58050 | + | 17.9455i | −0.513726 | + | 1.65202i | ||||
\(119\) | 0.0813745 | + | 0.0218042i | 0.00745959 | + | 0.00199879i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.6239 | + | 2.84665i | −0.965805 | + | 0.258787i | ||||
\(122\) | −0.416473 | + | 10.4876i | −0.0377057 | + | 0.949506i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.70077 | + | 1.99474i | 0.152734 | + | 0.179133i | ||||
\(125\) | −4.57512 | − | 11.0453i | −0.409211 | − | 0.987923i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −18.5137 | −1.64283 | −0.821413 | − | 0.570334i | \(-0.806814\pi\) | ||||
−0.821413 | + | 0.570334i | \(0.806814\pi\) | |||||||
\(128\) | 4.49657 | − | 10.3818i | 0.397444 | − | 0.917626i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −10.6661 | − | 4.92255i | −0.935475 | − | 0.431736i | ||||
\(131\) | 19.4768 | + | 2.56417i | 1.70170 | + | 0.224032i | 0.917851 | − | 0.396925i | \(-0.129923\pi\) |
0.783844 | + | 0.620958i | \(0.213256\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.0997279 | + | 0.757509i | 0.00864751 | + | 0.0656844i | ||||
\(134\) | 1.19940 | − | 0.630392i | 0.103612 | − | 0.0544576i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.706029 | − | 0.198161i | 0.0605415 | − | 0.0169921i | ||||
\(137\) | 5.47381 | + | 1.46670i | 0.467660 | + | 0.125309i | 0.484951 | − | 0.874542i | \(-0.338838\pi\) |
−0.0172912 | + | 0.999850i | \(0.505504\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.287146 | − | 0.374216i | −0.0243554 | − | 0.0317406i | 0.781017 | − | 0.624510i | \(-0.214701\pi\) |
−0.805372 | + | 0.592769i | \(0.798035\pi\) | |||||||
\(140\) | −1.05352 | + | 0.0543251i | −0.0890389 | + | 0.00459131i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.1712 | + | 1.75213i | 0.853545 | + | 0.147035i | ||||
\(143\) | 0.189495i | 0.0158464i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 0.465808i | − | 0.0386832i | ||||||
\(146\) | 3.32772 | − | 19.3175i | 0.275404 | − | 1.59873i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.65508 | − | 2.94379i | 0.218246 | − | 0.241978i | ||||
\(149\) | −9.47835 | − | 12.3524i | −0.776497 | − | 1.01195i | −0.999312 | − | 0.0370899i | \(-0.988191\pi\) |
0.222815 | − | 0.974861i | \(-0.428475\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 17.7034 | + | 4.74362i | 1.44068 | + | 0.386030i | 0.892773 | − | 0.450506i | \(-0.148756\pi\) |
0.547911 | + | 0.836536i | \(0.315423\pi\) | |||||||
\(152\) | 4.11078 | + | 5.22804i | 0.333428 | + | 0.424050i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.00791707 | + | 0.0150632i | 0.000637976 | + | 0.00121383i | ||||
\(155\) | −0.277706 | − | 2.10939i | −0.0223059 | − | 0.169430i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −21.7162 | − | 2.85900i | −1.73314 | − | 0.228173i | −0.803158 | − | 0.595766i | \(-0.796849\pi\) |
−0.929987 | + | 0.367593i | \(0.880182\pi\) | |||||||
\(158\) | −9.01557 | + | 19.5347i | −0.717241 | + | 1.55410i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −7.64573 | + | 5.08551i | −0.604448 | + | 0.402045i | ||||
\(161\) | 0.972303 | 0.0766282 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.33166 | + | 3.21491i | 0.104304 | + | 0.251811i | 0.967412 | − | 0.253208i | \(-0.0814856\pi\) |
−0.863108 | + | 0.505019i | \(0.831486\pi\) | |||||||
\(164\) | −14.3603 | − | 1.14232i | −1.12135 | − | 0.0892004i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −20.3626 | − | 0.808616i | −1.58044 | − | 0.0627608i | ||||
\(167\) | −14.2590 | + | 3.82068i | −1.10339 | + | 0.295653i | −0.764145 | − | 0.645045i | \(-0.776839\pi\) |
−0.339247 | + | 0.940697i | \(0.610172\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.7361 | − | 3.41263i | −0.979700 | − | 0.262510i | ||||
\(170\) | −0.568333 | − | 0.176734i | −0.0435892 | − | 0.0135549i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.45492 | − | 16.1872i | 0.263435 | − | 1.23427i | ||||
\(173\) | −16.4868 | − | 12.6508i | −1.25347 | − | 0.961822i | −0.253487 | − | 0.967339i | \(-0.581577\pi\) |
−0.999985 | + | 0.00551656i | \(0.998244\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.665527 | − | 0.384242i | −0.0503091 | − | 0.0290460i | ||||
\(176\) | 0.126167 | + | 0.0776073i | 0.00951021 | + | 0.00584987i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.98600 | + | 1.37570i | 0.598576 | + | 0.103113i | ||||
\(179\) | 3.24981 | − | 1.34611i | 0.242902 | − | 0.100613i | −0.257911 | − | 0.966169i | \(-0.583034\pi\) |
0.500813 | + | 0.865555i | \(0.333034\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.00409 | + | 2.42408i | −0.0746333 | + | 0.180181i | −0.956793 | − | 0.290769i | \(-0.906089\pi\) |
0.882160 | + | 0.470950i | \(0.156089\pi\) | |||||||
\(182\) | −2.29374 | + | 0.518007i | −0.170023 | + | 0.0383973i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.27896 | − | 4.31811i | 0.536612 | − | 0.318335i | ||||
\(185\) | −3.10788 | + | 0.832755i | −0.228496 | + | 0.0612253i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.00125317 | + | 0.00951876i | 9.16408e−5 | + | 0.000696081i | ||||
\(188\) | −2.76954 | − | 15.0135i | −0.201989 | − | 1.09497i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.491655 | − | 5.37543i | −0.0356684 | − | 0.389974i | ||||
\(191\) | 1.31948 | + | 2.28541i | 0.0954744 | + | 0.165367i | 0.909807 | − | 0.415033i | \(-0.136230\pi\) |
−0.814332 | + | 0.580399i | \(0.802897\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.29475 | + | 12.6349i | −0.525088 | + | 0.909479i | 0.474485 | + | 0.880263i | \(0.342634\pi\) |
−0.999573 | + | 0.0292154i | \(0.990699\pi\) | |||||||
\(194\) | 13.4073 | + | 6.18768i | 0.962588 | + | 0.444250i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 10.4926 | − | 8.94631i | 0.749474 | − | 0.639022i | ||||
\(197\) | −1.64691 | − | 0.682173i | −0.117338 | − | 0.0486028i | 0.323242 | − | 0.946316i | \(-0.395227\pi\) |
−0.440580 | + | 0.897713i | \(0.645227\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.50902 | − | 1.50902i | −0.106971 | − | 0.106971i | 0.651595 | − | 0.758567i | \(-0.274100\pi\) |
−0.758567 | + | 0.651595i | \(0.774100\pi\) | |||||||
\(200\) | −6.68880 | + | 0.0791292i | −0.472970 | + | 0.00559528i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.17534 | − | 9.93420i | −0.645575 | − | 0.698968i | ||||
\(203\) | −0.0567631 | − | 0.0739751i | −0.00398399 | − | 0.00519203i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.27597 | + | 7.11770i | 0.647862 | + | 0.497122i | ||||
\(206\) | −7.59671 | + | 9.12625i | −0.529288 | + | 0.635856i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −14.8711 | + | 14.0647i | −1.03113 | + | 0.975213i | ||||
\(209\) | −0.0754080 | + | 0.0435368i | −0.00521608 | + | 0.00301150i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.0958431 | + | 0.728001i | −0.00659811 | + | 0.0501176i | −0.994427 | − | 0.105426i | \(-0.966379\pi\) |
0.987829 | + | 0.155543i | \(0.0497128\pi\) | |||||||
\(212\) | −10.5864 | − | 9.54813i | −0.727075 | − | 0.655768i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.70251 | − | 20.8227i | −0.321457 | − | 1.42341i | ||||
\(215\) | −9.49927 | + | 9.49927i | −0.647845 | + | 0.647845i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.301152 | − | 0.301152i | −0.0204435 | − | 0.0204435i | ||||
\(218\) | −14.1826 | + | 22.4571i | −0.960564 | + | 1.52099i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.0516662 | − | 0.108555i | −0.00348333 | − | 0.00731878i | ||||
\(221\) | −1.31535 | − | 0.173169i | −0.0884800 | − | 0.0116486i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.52921 | − | 14.7730i | −0.571158 | − | 0.989275i | −0.996447 | − | 0.0842175i | \(-0.973161\pi\) |
0.425289 | − | 0.905057i | \(-0.360172\pi\) | |||||||
\(224\) | −0.594503 | + | 1.73934i | −0.0397219 | + | 0.116214i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.78984 | − | 0.621022i | 0.451654 | − | 0.0413098i | ||||
\(227\) | 9.81627 | − | 12.7928i | 0.651529 | − | 0.849089i | −0.344438 | − | 0.938809i | \(-0.611931\pi\) |
0.995967 | + | 0.0897201i | \(0.0285973\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.846213 | + | 0.649322i | −0.0559194 | + | 0.0429084i | −0.636343 | − | 0.771406i | \(-0.719554\pi\) |
0.580424 | + | 0.814315i | \(0.302887\pi\) | |||||||
\(230\) | −6.86377 | − | 0.272566i | −0.452583 | − | 0.0179725i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.753478 | − | 0.301709i | −0.0494682 | − | 0.0198081i | ||||
\(233\) | −11.9471 | + | 11.9471i | −0.782679 | + | 0.782679i | −0.980282 | − | 0.197603i | \(-0.936684\pi\) |
0.197603 | + | 0.980282i | \(0.436684\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.74184 | + | 11.4478i | −0.309323 | + | 0.746773i | ||||
\(236\) | −8.19168 | − | 25.2837i | −0.533233 | − | 1.64583i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.111794 | + | 0.0411896i | −0.00724652 | + | 0.00266993i | ||||
\(239\) | −5.55246 | − | 3.20572i | −0.359159 | − | 0.207361i | 0.309553 | − | 0.950882i | \(-0.399821\pi\) |
−0.668712 | + | 0.743522i | \(0.733154\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.8239 | + | 6.82651i | −0.761642 | + | 0.439734i | −0.829885 | − | 0.557935i | \(-0.811594\pi\) |
0.0682430 | + | 0.997669i | \(0.478261\pi\) | |||||||
\(242\) | 9.95112 | − | 11.9547i | 0.639682 | − | 0.768477i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −8.07385 | − | 12.4555i | −0.516876 | − | 0.797385i | ||||
\(245\) | −11.0957 | + | 1.46078i | −0.708879 | + | 0.0933257i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.11418 | − | 11.6223i | −0.198150 | − | 0.739508i | ||||
\(248\) | −3.59196 | − | 0.917064i | −0.228090 | − | 0.0582336i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 14.2953 | + | 9.02806i | 0.904114 | + | 0.570985i | ||||
\(251\) | −6.46764 | − | 2.67898i | −0.408234 | − | 0.169096i | 0.169110 | − | 0.985597i | \(-0.445911\pi\) |
−0.577344 | + | 0.816501i | \(0.695911\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0424042 | + | 0.102373i | 0.00266593 | + | 0.00643612i | ||||
\(254\) | 21.3879 | − | 15.1020i | 1.34200 | − | 0.947586i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.27397 | + | 15.6615i | 0.204623 | + | 0.978841i | ||||
\(257\) | −1.65386 | + | 2.86456i | −0.103165 | + | 0.178686i | −0.912987 | − | 0.407989i | \(-0.866230\pi\) |
0.809822 | + | 0.586675i | \(0.199564\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.392085 | + | 0.510975i | −0.0243630 | + | 0.0317504i | ||||
\(260\) | 16.3374 | − | 3.01376i | 1.01320 | − | 0.186905i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −24.5922 | + | 12.9254i | −1.51931 | + | 0.798533i | ||||
\(263\) | −5.19980 | + | 19.4059i | −0.320634 | + | 1.19662i | 0.597996 | + | 0.801499i | \(0.295964\pi\) |
−0.918629 | + | 0.395121i | \(0.870703\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.99473 | + | 11.1765i | 0.183965 | + | 0.686566i | ||||
\(266\) | −0.733127 | − | 0.793761i | −0.0449509 | − | 0.0486686i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.871381 | + | 1.70664i | −0.0532281 | + | 0.104249i | ||||
\(269\) | 0.922988 | − | 0.382314i | 0.0562756 | − | 0.0233101i | −0.354368 | − | 0.935106i | \(-0.615304\pi\) |
0.410644 | + | 0.911796i | \(0.365304\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 15.2219i | − | 0.924665i | −0.886707 | − | 0.462332i | \(-0.847013\pi\) | ||
0.886707 | − | 0.462332i | \(-0.152987\pi\) | |||||||
\(272\) | −0.653996 | + | 0.804848i | −0.0396543 | + | 0.0488011i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.52004 | + | 2.77070i | −0.454302 | + | 0.167384i | ||||
\(275\) | 0.0114314 | − | 0.0868303i | 0.000689341 | − | 0.00523606i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −31.1275 | + | 4.09802i | −1.87027 | + | 0.246226i | −0.978498 | − | 0.206255i | \(-0.933872\pi\) |
−0.891774 | + | 0.452481i | \(0.850539\pi\) | |||||||
\(278\) | 0.636982 | + | 0.198082i | 0.0382036 | + | 0.0118801i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.17277 | − | 0.922140i | 0.0700862 | − | 0.0551084i | ||||
\(281\) | 7.00393 | − | 26.1390i | 0.417820 | − | 1.55932i | −0.361300 | − | 0.932449i | \(-0.617667\pi\) |
0.779120 | − | 0.626875i | \(-0.215666\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.3917 | − | 7.97381i | 0.617721 | − | 0.473994i | −0.251874 | − | 0.967760i | \(-0.581047\pi\) |
0.869595 | + | 0.493766i | \(0.164380\pi\) | |||||||
\(284\) | −13.1795 | + | 6.27269i | −0.782057 | + | 0.372216i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.154575 | − | 0.218914i | −0.00914023 | − | 0.0129447i | ||||
\(287\) | 2.34048 | 0.138154 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 16.9328 | 0.996046 | ||||||||
\(290\) | 0.379969 | + | 0.538124i | 0.0223126 | + | 0.0315997i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 11.9134 | + | 25.0310i | 0.697178 | + | 1.46483i | ||||
\(293\) | 12.2162 | − | 9.37385i | 0.713680 | − | 0.547626i | −0.186867 | − | 0.982385i | \(-0.559833\pi\) |
0.900547 | + | 0.434759i | \(0.143167\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.58304 | + | 20.8362i | −0.325057 | + | 1.21313i | ||||
\(296\) | −0.665967 | + | 5.56661i | −0.0387086 | + | 0.323553i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 21.0260 | + | 6.53843i | 1.21800 | + | 0.378761i | ||||
\(299\) | −15.1809 | + | 1.99861i | −0.877936 | + | 0.115582i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.351006 | + | 2.66616i | −0.0202317 | + | 0.153675i | ||||
\(302\) | −24.3213 | + | 8.96100i | −1.39954 | + | 0.515648i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −9.01359 | − | 2.68643i | −0.516965 | − | 0.154078i | ||||
\(305\) | 12.0474i | 0.689833i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.36797 | − | 3.88034i | 0.534658 | − | 0.221463i | −0.0989838 | − | 0.995089i | \(-0.531559\pi\) |
0.633642 | + | 0.773626i | \(0.281559\pi\) | |||||||
\(308\) | −0.0214336 | − | 0.0109437i | −0.00122129 | − | 0.000623572i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.04149 | + | 2.21034i | 0.115949 | + | 0.125539i | ||||
\(311\) | 4.41050 | + | 16.4602i | 0.250096 | + | 0.933372i | 0.970753 | + | 0.240080i | \(0.0771737\pi\) |
−0.720657 | + | 0.693292i | \(0.756160\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.22504 | + | 12.0360i | −0.182290 | + | 0.680315i | 0.812905 | + | 0.582397i | \(0.197885\pi\) |
−0.995194 | + | 0.0979183i | \(0.968782\pi\) | |||||||
\(314\) | 27.4198 | − | 14.4115i | 1.54739 | − | 0.813291i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.51964 | − | 29.9216i | −0.310504 | − | 1.68322i | ||||
\(317\) | 3.22942 | − | 4.20866i | 0.181382 | − | 0.236382i | −0.693809 | − | 0.720159i | \(-0.744069\pi\) |
0.875191 | + | 0.483777i | \(0.160735\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.00531320 | − | 0.00920273i | 0.000297482 | − | 0.000515254i | ||||
\(320\) | 4.68435 | − | 12.1118i | 0.261863 | − | 0.677071i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.12325 | + | 0.793128i | −0.0625964 | + | 0.0441993i | ||||
\(323\) | −0.233292 | − | 0.563218i | −0.0129807 | − | 0.0313383i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 11.1809 | + | 4.63130i | 0.620207 | + | 0.256898i | ||||
\(326\) | −4.16087 | − | 2.62776i | −0.230449 | − | 0.145538i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 17.5215 | − | 10.3943i | 0.967465 | − | 0.573931i | ||||
\(329\) | 0.641971 | + | 2.39587i | 0.0353930 | + | 0.132088i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.00898 | + | 0.396139i | −0.165388 | + | 0.0217738i | −0.212765 | − | 0.977103i | \(-0.568247\pi\) |
0.0473773 | + | 0.998877i | \(0.484914\pi\) | |||||||
\(332\) | 24.1834 | − | 15.6760i | 1.32724 | − | 0.860334i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 13.3560 | − | 16.0452i | 0.730810 | − | 0.877952i | ||||
\(335\) | 1.34690 | − | 0.777634i | 0.0735891 | − | 0.0424867i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.77985 | − | 5.06905i | −0.478269 | − | 0.276129i | 0.241426 | − | 0.970419i | \(-0.422385\pi\) |
−0.719695 | + | 0.694291i | \(0.755718\pi\) | |||||||
\(338\) | 17.4971 | − | 6.44668i | 0.951718 | − | 0.350653i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.800732 | − | 0.259430i | 0.0434258 | − | 0.0140696i | ||||
\(341\) | 0.0185741 | − | 0.0448418i | 0.00100584 | − | 0.00242832i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.19247 | + | 3.19247i | −0.172377 | + | 0.172377i | ||||
\(344\) | 9.21298 | + | 21.5185i | 0.496731 | + | 1.16020i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 29.3659 | + | 1.16615i | 1.57872 | + | 0.0626925i | ||||
\(347\) | 9.69972 | − | 7.44286i | 0.520708 | − | 0.399554i | −0.314693 | − | 0.949193i | \(-0.601902\pi\) |
0.835402 | + | 0.549640i | \(0.185235\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.98704 | − | 5.19601i | 0.213421 | − | 0.278136i | −0.674359 | − | 0.738404i | \(-0.735580\pi\) |
0.887780 | + | 0.460268i | \(0.152247\pi\) | |||||||
\(350\) | 1.08228 | − | 0.0989894i | 0.0578505 | − | 0.00529120i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.209060 | + | 0.0132615i | −0.0111430 | + | 0.000706842i | ||||
\(353\) | 14.1478 | + | 24.5047i | 0.753010 | + | 1.30425i | 0.946358 | + | 0.323121i | \(0.104732\pi\) |
−0.193348 | + | 0.981130i | \(0.561934\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.7453 | + | 1.54630i | 0.623375 | + | 0.0820688i | ||||
\(356\) | −10.3480 | + | 4.92508i | −0.548443 | + | 0.261029i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.65628 | + | 4.20603i | −0.140389 | + | 0.222296i | ||||
\(359\) | 2.97235 | + | 2.97235i | 0.156875 | + | 0.156875i | 0.781180 | − | 0.624305i | \(-0.214618\pi\) |
−0.624305 | + | 0.781180i | \(0.714618\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.52553 | + | 9.52553i | −0.501344 | + | 0.501344i | ||||
\(362\) | −0.817405 | − | 3.61948i | −0.0429619 | − | 0.190235i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.22729 | − | 2.46948i | 0.116742 | − | 0.129436i | ||||
\(365\) | 2.93680 | − | 22.3072i | 0.153719 | − | 1.16761i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.67285 | − | 2.12052i | 0.191721 | − | 0.110690i | −0.401067 | − | 0.916049i | \(-0.631361\pi\) |
0.592788 | + | 0.805358i | \(0.298027\pi\) | |||||||
\(368\) | −4.88663 | + | 10.9261i | −0.254733 | + | 0.569562i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.91108 | − | 3.49720i | 0.151340 | − | 0.181811i | ||||
\(371\) | 1.83756 | + | 1.41001i | 0.0954011 | + | 0.0732039i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.25913 | + | 6.85383i | 0.272307 | + | 0.354878i | 0.909410 | − | 0.415901i | \(-0.136534\pi\) |
−0.637102 | + | 0.770779i | \(0.719867\pi\) | |||||||
\(374\) | −0.00921238 | − | 0.00997430i | −0.000476361 | − | 0.000515759i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 15.4463 | + | 15.0851i | 0.796583 | + | 0.777956i | ||||
\(377\) | 1.03832 | + | 1.03832i | 0.0534763 | + | 0.0534763i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.69444 | + | 2.77293i | 0.343870 | + | 0.142436i | 0.547933 | − | 0.836522i | \(-0.315415\pi\) |
−0.204063 | + | 0.978958i | \(0.565415\pi\) | |||||||
\(380\) | 4.95283 | + | 5.80890i | 0.254075 | + | 0.297990i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −3.38859 | − | 1.56389i | −0.173375 | − | 0.0800154i | ||||
\(383\) | −4.73268 | + | 8.19724i | −0.241829 | + | 0.418859i | −0.961235 | − | 0.275730i | \(-0.911080\pi\) |
0.719407 | + | 0.694589i | \(0.244414\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.00976628 | + | 0.0169157i | 0.000497736 | + | 0.000862103i | ||||
\(386\) | −1.87929 | − | 20.5469i | −0.0956534 | − | 1.04581i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −20.5362 | + | 3.78831i | −1.04257 | + | 0.192322i | ||||
\(389\) | 2.49720 | + | 18.9681i | 0.126613 | + | 0.961720i | 0.930334 | + | 0.366714i | \(0.119517\pi\) |
−0.803721 | + | 0.595007i | \(0.797149\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.749355 | + | 0.200789i | −0.0378965 | + | 0.0101543i | ||||
\(392\) | −4.82389 | + | 18.8943i | −0.243643 | + | 0.954305i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.45905 | − | 0.555341i | 0.123885 | − | 0.0279777i | ||||
\(395\) | −9.45040 | + | 22.8153i | −0.475501 | + | 1.14796i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.82577 | − | 2.41311i | 0.292387 | − | 0.121111i | −0.231668 | − | 0.972795i | \(-0.574418\pi\) |
0.524056 | + | 0.851684i | \(0.324418\pi\) | |||||||
\(398\) | 2.97422 | + | 0.512352i | 0.149084 | + | 0.0256819i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.66268 | − | 5.54761i | 0.383134 | − | 0.277381i | ||||
\(401\) | 27.0472 | + | 15.6157i | 1.35067 | + | 0.779812i | 0.988344 | − | 0.152239i | \(-0.0486482\pi\) |
0.362329 | + | 0.932050i | \(0.381982\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.32102 | + | 4.08297i | 0.265059 | + | 0.203387i | ||||
\(404\) | 18.7033 | + | 3.99194i | 0.930526 | + | 0.198607i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.125918 | + | 0.0391567i | 0.00624923 | + | 0.00194332i | ||||
\(407\) | −0.0708997 | − | 0.0189975i | −0.00351437 | − | 0.000941672i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 22.9935 | − | 6.16110i | 1.13696 | − | 0.304647i | 0.359230 | − | 0.933249i | \(-0.383039\pi\) |
0.777727 | + | 0.628602i | \(0.216373\pi\) | |||||||
\(410\) | −16.5221 | − | 0.656108i | −0.815969 | − | 0.0324029i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.33161 | − | 16.7399i | 0.0656038 | − | 0.824715i | ||||
\(413\) | 1.65244 | + | 3.98935i | 0.0813113 | + | 0.196303i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −23.3910 | −1.14822 | ||||||||
\(416\) | 5.70692 | − | 28.3789i | 0.279805 | − | 1.39139i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0516010 | − | 0.111808i | 0.00252389 | − | 0.00546869i | ||||
\(419\) | 13.9495 | + | 1.83648i | 0.681477 | + | 0.0897181i | 0.463314 | − | 0.886194i | \(-0.346660\pi\) |
0.218163 | + | 0.975912i | \(0.429994\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.559488 | − | 4.24973i | −0.0272678 | − | 0.207119i | 0.972388 | − | 0.233372i | \(-0.0749759\pi\) |
−0.999655 | + | 0.0262526i | \(0.991643\pi\) | |||||||
\(422\) | −0.483123 | − | 0.919203i | −0.0235181 | − | 0.0447461i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 20.0185 | + | 2.39494i | 0.972185 | + | 0.116308i | ||||
\(425\) | 0.592271 | + | 0.158699i | 0.0287294 | + | 0.00769802i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.46809 | + | 1.91325i | 0.0710459 | + | 0.0925888i | ||||
\(428\) | 22.4181 | + | 20.2195i | 1.08362 | + | 0.977346i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.22526 | − | 18.7228i | 0.155536 | − | 0.902892i | ||||
\(431\) | 3.33540i | 0.160661i | 0.996768 | + | 0.0803304i | \(0.0255975\pi\) | ||||
−0.996768 | + | 0.0803304i | \(0.974402\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 2.24064i | − | 0.107678i | −0.998550 | − | 0.0538392i | \(-0.982854\pi\) | ||
0.998550 | − | 0.0538392i | \(-0.0171458\pi\) | |||||||
\(434\) | 0.593561 | + | 0.102249i | 0.0284918 | + | 0.00490812i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.93434 | − | 37.5125i | −0.0926382 | − | 1.79652i | ||||
\(437\) | −4.28317 | − | 5.58194i | −0.204892 | − | 0.267020i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.46271 | − | 1.46373i | −0.260721 | − | 0.0698599i | 0.126091 | − | 0.992019i | \(-0.459757\pi\) |
−0.386812 | + | 0.922159i | \(0.626424\pi\) | |||||||
\(440\) | 0.148238 | + | 0.0832628i | 0.00706697 | + | 0.00396940i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.66081 | − | 0.872906i | 0.0789968 | − | 0.0415199i | ||||
\(443\) | 1.79988 | + | 13.6714i | 0.0855149 | + | 0.649550i | 0.979499 | + | 0.201451i | \(0.0645656\pi\) |
−0.893984 | + | 0.448099i | \(0.852101\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 9.22194 | + | 1.21409i | 0.437162 | + | 0.0575534i | ||||
\(446\) | 21.9040 | + | 10.1091i | 1.03719 | + | 0.478678i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.732015 | − | 2.49431i | −0.0345845 | − | 0.117845i | ||||
\(449\) | −11.3295 | −0.534672 | −0.267336 | − | 0.963603i | \(-0.586143\pi\) | ||||
−0.267336 | + | 0.963603i | \(0.586143\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.102073 | + | 0.246427i | 0.00480644 | + | 0.0116038i | ||||
\(452\) | −7.33737 | + | 6.25605i | −0.345121 | + | 0.294260i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.904861 | + | 22.7862i | −0.0424672 | + | 1.06941i | ||||
\(455\) | −2.60714 | + | 0.698580i | −0.122224 | + | 0.0327499i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −30.1863 | − | 8.08840i | −1.41206 | − | 0.378359i | −0.529398 | − | 0.848374i | \(-0.677582\pi\) |
−0.882659 | + | 0.470014i | \(0.844249\pi\) | |||||||
\(458\) | 0.447921 | − | 1.44040i | 0.0209300 | − | 0.0673056i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 8.15169 | − | 5.28404i | 0.380075 | − | 0.246370i | ||||
\(461\) | 15.5771 | + | 11.9527i | 0.725498 | + | 0.556694i | 0.904149 | − | 0.427218i | \(-0.140506\pi\) |
−0.178650 | + | 0.983913i | \(0.557173\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.2606 | − | 7.65604i | −0.616274 | − | 0.355806i | 0.159143 | − | 0.987256i | \(-0.449127\pi\) |
−0.775417 | + | 0.631449i | \(0.782460\pi\) | |||||||
\(464\) | 1.11656 | − | 0.266079i | 0.0518352 | − | 0.0123524i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.05636 | − | 23.5473i | 0.187907 | − | 1.09081i | ||||
\(467\) | 15.4177 | − | 6.38624i | 0.713448 | − | 0.295520i | 0.00371732 | − | 0.999993i | \(-0.498817\pi\) |
0.709730 | + | 0.704473i | \(0.248817\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.119140 | − | 0.287629i | 0.00550137 | − | 0.0132815i | ||||
\(470\) | −3.86022 | − | 17.0931i | −0.178059 | − | 0.788445i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 30.0878 | + | 22.5268i | 1.38490 | + | 1.03688i | ||||
\(473\) | −0.296025 | + | 0.0793197i | −0.0136112 | + | 0.00364712i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.725854 | + | 5.51341i | 0.0333045 | + | 0.252973i | ||||
\(476\) | 0.0955505 | − | 0.138777i | 0.00437955 | − | 0.00636083i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.02944 | − | 0.825864i | 0.412997 | − | 0.0377741i | ||||
\(479\) | −11.9576 | − | 20.7111i | −0.546356 | − | 0.946316i | −0.998520 | − | 0.0543816i | \(-0.982681\pi\) |
0.452164 | − | 0.891935i | \(-0.350652\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.07144 | − | 8.78399i | 0.231238 | − | 0.400515i | ||||
\(482\) | 8.09097 | − | 17.5313i | 0.368534 | − | 0.798528i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.74431 | + | 21.9280i | −0.0792869 | + | 0.996727i | ||||
\(485\) | 15.6589 | + | 6.48612i | 0.711033 | + | 0.294520i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.04460 | + | 5.04460i | 0.228593 | + | 0.228593i | 0.812105 | − | 0.583512i | \(-0.198322\pi\) |
−0.583512 | + | 0.812105i | \(0.698322\pi\) | |||||||
\(488\) | 19.4876 | + | 7.80323i | 0.882160 | + | 0.353236i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 11.6267 | − | 10.7386i | 0.525241 | − | 0.485119i | ||||
\(491\) | −15.5178 | − | 20.2232i | −0.700309 | − | 0.912661i | 0.298823 | − | 0.954308i | \(-0.403406\pi\) |
−0.999132 | + | 0.0416479i | \(0.986739\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.0590238 | + | 0.0452906i | 0.00265830 | + | 0.00203978i | ||||
\(494\) | 13.0782 | + | 10.8863i | 0.588415 | + | 0.489798i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.89768 | − | 1.87061i | 0.219912 | − | 0.0839926i | ||||
\(497\) | 2.05370 | − | 1.18571i | 0.0921212 | − | 0.0531862i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.33075 | − | 32.8953i | 0.193871 | − | 1.47260i | −0.567012 | − | 0.823709i | \(-0.691901\pi\) |
0.760884 | − | 0.648888i | \(-0.224766\pi\) | |||||||
\(500\) | −23.8790 | + | 1.23133i | −1.06790 | + | 0.0550666i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.65703 | − | 2.18090i | 0.431014 | − | 0.0973382i | ||||
\(503\) | 13.8468 | − | 13.8468i | 0.617399 | − | 0.617399i | −0.327465 | − | 0.944863i | \(-0.606194\pi\) |
0.944863 | + | 0.327465i | \(0.106194\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.9758 | − | 10.9758i | −0.488417 | − | 0.488417i | ||||
\(506\) | −0.132495 | − | 0.0836760i | −0.00589012 | − | 0.00371985i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −12.3893 | + | 34.8932i | −0.549688 | + | 1.54813i | ||||
\(509\) | 14.6823 | + | 1.93296i | 0.650781 | + | 0.0856770i | 0.448687 | − | 0.893689i | \(-0.351892\pi\) |
0.202094 | + | 0.979366i | \(0.435225\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.25195 | − | 3.90049i | −0.0996203 | − | 0.172547i | ||||
\(512\) | −16.5576 | − | 15.4222i | −0.731751 | − | 0.681573i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.426070 | − | 4.65837i | −0.0187931 | − | 0.205472i | ||||
\(515\) | −8.29714 | + | 10.8130i | −0.365616 | + | 0.476479i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.224261 | + | 0.172081i | −0.00986298 | + | 0.00756813i | ||||
\(518\) | 0.0361423 | − | 0.910135i | 0.00158800 | − | 0.0399890i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −16.4153 | + | 16.8084i | −0.719860 | + | 0.737096i | ||||
\(521\) | −27.2589 | + | 27.2589i | −1.19423 | + | 1.19423i | −0.218367 | + | 0.975867i | \(0.570073\pi\) |
−0.975867 | + | 0.218367i | \(0.929927\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.0324 | + | 38.7056i | −0.701046 | + | 1.69248i | 0.0201988 | + | 0.999796i | \(0.493570\pi\) |
−0.721245 | + | 0.692680i | \(0.756430\pi\) | |||||||
\(524\) | 17.8666 | − | 34.9924i | 0.780504 | − | 1.52865i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.82276 | − | 26.6603i | −0.428293 | − | 1.16244i | ||||
\(527\) | 0.294288 | + | 0.169907i | 0.0128194 | + | 0.00740128i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.1645 | − | 7.02317i | 0.528890 | − | 0.305355i | ||||
\(530\) | −12.5766 | − | 10.4688i | −0.546291 | − | 0.454734i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.49443 | + | 0.318964i | 0.0647918 | + | 0.0138288i | ||||
\(533\) | −36.5428 | + | 4.81095i | −1.58284 | + | 0.208385i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.34176 | − | 23.6678i | −0.274178 | − | 1.02325i | ||||
\(536\) | −0.385477 | − | 2.68239i | −0.0166501 | − | 0.115862i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.754419 | + | 1.19457i | −0.0325253 | + | 0.0515015i | ||||
\(539\) | −0.235875 | − | 0.0977025i | −0.0101598 | − | 0.00420835i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.2506 | − | 39.2325i | −0.698669 | − | 1.68674i | −0.726540 | − | 0.687124i | \(-0.758873\pi\) |
0.0278709 | − | 0.999612i | \(-0.491127\pi\) | |||||||
\(542\) | 12.4168 | + | 17.5851i | 0.533348 | + | 0.755344i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.0989958 | − | 1.46328i | 0.00424441 | − | 0.0627375i | ||||
\(545\) | −15.2434 | + | 26.4024i | −0.652956 | + | 1.13095i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −27.4373 | + | 35.7571i | −1.17314 | + | 1.52886i | −0.374305 | + | 0.927305i | \(0.622119\pi\) |
−0.798831 | + | 0.601556i | \(0.794548\pi\) | |||||||
\(548\) | 6.42739 | − | 9.33510i | 0.274565 | − | 0.398776i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.0576232 | + | 0.109635i | 0.00245706 | + | 0.00467487i | ||||
\(551\) | −0.174635 | + | 0.651747i | −0.00743971 | + | 0.0277654i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.27944 | + | 4.77493i | 0.0544072 | + | 0.203051i | ||||
\(554\) | 32.6172 | − | 30.1256i | 1.38577 | − | 1.27991i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.897451 | + | 0.290766i | −0.0380604 | + | 0.0123312i | ||||
\(557\) | 29.7260 | − | 12.3129i | 1.25953 | − | 0.521716i | 0.349767 | − | 0.936837i | \(-0.386261\pi\) |
0.909766 | + | 0.415121i | \(0.136261\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 42.3492i | − | 1.79118i | ||||||
\(560\) | −0.602627 | + | 2.02195i | −0.0254656 | + | 0.0854430i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 13.2309 | + | 35.9103i | 0.558111 | + | 1.51479i | ||||
\(563\) | −0.209242 | + | 1.58935i | −0.00881851 | + | 0.0669833i | −0.995288 | − | 0.0969601i | \(-0.969088\pi\) |
0.986470 | + | 0.163943i | \(0.0524214\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.75910 | − | 1.02150i | 0.326428 | − | 0.0429750i | ||||
\(566\) | −5.50056 | + | 17.6884i | −0.231206 | + | 0.743501i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.1088 | − | 17.9973i | 0.424155 | − | 0.755150i | ||||
\(569\) | −1.05096 | + | 3.92222i | −0.0440584 | + | 0.164428i | −0.984450 | − | 0.175666i | \(-0.943792\pi\) |
0.940391 | + | 0.340094i | \(0.110459\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.27875 | + | 7.11984i | −0.388304 | + | 0.297956i | −0.784403 | − | 0.620252i | \(-0.787030\pi\) |
0.396099 | + | 0.918208i | \(0.370364\pi\) | |||||||
\(572\) | 0.357146 | + | 0.126810i | 0.0149330 | + | 0.00530218i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.70383 | + | 1.90918i | −0.112856 | + | 0.0796876i | ||||
\(575\) | 7.07676 | 0.295121 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 31.1072 | 1.29501 | 0.647505 | − | 0.762061i | \(-0.275812\pi\) | ||||
0.647505 | + | 0.762061i | \(0.275812\pi\) | |||||||
\(578\) | −19.5616 | + | 13.8124i | −0.813654 | + | 0.574521i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.877918 | − | 0.311717i | −0.0364535 | − | 0.0129434i | ||||
\(581\) | −3.71473 | + | 2.85041i | −0.154113 | + | 0.118255i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.0683184 | + | 0.254968i | −0.00282946 | + | 0.0105597i | ||||
\(584\) | −34.1813 | − | 19.1991i | −1.41443 | − | 0.794463i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.46634 | + | 20.7942i | −0.267122 | + | 0.858999i | ||||
\(587\) | −7.79166 | + | 1.02579i | −0.321596 | + | 0.0423390i | −0.289596 | − | 0.957149i | \(-0.593521\pi\) |
−0.0320001 | + | 0.999488i | \(0.510188\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.402267 | + | 3.05552i | −0.0165751 | + | 0.125901i | ||||
\(590\) | −10.5467 | − | 28.6252i | −0.434202 | − | 1.17848i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.77144 | − | 6.97406i | −0.155005 | − | 0.286632i | ||||
\(593\) | 30.5081i | 1.25282i | 0.779495 | + | 0.626408i | \(0.215476\pi\) | ||||
−0.779495 | + | 0.626408i | \(0.784524\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.126342 | + | 0.0523327i | −0.00517953 | + | 0.00214543i | ||||
\(596\) | −29.6238 | + | 9.59784i | −1.21344 | + | 0.393143i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 15.9074 | − | 14.6923i | 0.650504 | − | 0.600813i | ||||
\(599\) | −4.85719 | − | 18.1273i | −0.198459 | − | 0.740660i | −0.991344 | − | 0.131289i | \(-0.958088\pi\) |
0.792885 | − | 0.609371i | \(-0.208578\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.98707 | − | 26.0761i | 0.285008 | − | 1.06367i | −0.663825 | − | 0.747888i | \(-0.731068\pi\) |
0.948833 | − | 0.315778i | \(-0.102265\pi\) | |||||||
\(602\) | −1.76934 | − | 3.36640i | −0.0721130 | − | 0.137204i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 20.7875 | − | 30.1916i | 0.845831 | − | 1.22848i | ||||
\(605\) | 10.8686 | − | 14.1643i | 0.441873 | − | 0.575860i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −13.4843 | + | 23.3554i | −0.547309 | + | 0.947967i | 0.451148 | + | 0.892449i | \(0.351015\pi\) |
−0.998458 | + | 0.0555185i | \(0.982319\pi\) | |||||||
\(608\) | 12.6043 | − | 4.24908i | 0.511173 | − | 0.172323i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −9.82733 | − | 13.9178i | −0.397897 | − | 0.563513i | ||||
\(611\) | −14.9481 | − | 36.0880i | −0.604737 | − | 1.45996i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22.0470 | + | 9.13217i | 0.890470 | + | 0.368845i | 0.780548 | − | 0.625095i | \(-0.214940\pi\) |
0.109922 | + | 0.993940i | \(0.464940\pi\) | |||||||
\(614\) | −7.65706 | + | 12.1244i | −0.309014 | + | 0.489301i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.0336881 | − | 0.00484119i | 0.00135733 | − | 0.000195057i | ||||
\(617\) | −4.78222 | − | 17.8475i | −0.192525 | − | 0.718513i | −0.992894 | − | 0.119005i | \(-0.962030\pi\) |
0.800369 | − | 0.599508i | \(-0.204637\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −18.5503 | + | 2.44220i | −0.745601 | + | 0.0981602i | −0.493748 | − | 0.869605i | \(-0.664373\pi\) |
−0.251853 | + | 0.967765i | \(0.581040\pi\) | |||||||
\(620\) | −4.16145 | − | 0.888199i | −0.167128 | − | 0.0356709i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −18.5222 | − | 15.4179i | −0.742671 | − | 0.618201i | ||||
\(623\) | 1.61249 | − | 0.930970i | 0.0646030 | − | 0.0372985i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.56589 | + | 3.79082i | 0.262636 | + | 0.151633i | ||||
\(626\) | −6.09231 | − | 16.5353i | −0.243498 | − | 0.660884i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −19.9209 | + | 39.0158i | −0.794929 | + | 1.55690i | ||||
\(629\) | 0.196659 | − | 0.474778i | 0.00784132 | − | 0.0189306i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −29.2372 | + | 29.2372i | −1.16391 | + | 1.16391i | −0.180304 | + | 0.983611i | \(0.557708\pi\) |
−0.983611 | + | 0.180304i | \(0.942292\pi\) | |||||||
\(632\) | 30.7843 | + | 30.0644i | 1.22453 | + | 1.19590i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.297687 | + | 7.49636i | −0.0118227 | + | 0.297718i | ||||
\(635\) | 23.8424 | − | 18.2949i | 0.946155 | − | 0.726010i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 21.4770 | − | 27.9894i | 0.850951 | − | 1.10898i | ||||
\(638\) | 0.00136880 | + | 0.0149655i | 5.41913e−5 | + | 0.000592491i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 4.46827 | + | 17.8133i | 0.176624 | + | 0.704131i | ||||
\(641\) | 15.6462 | + | 27.1001i | 0.617989 | + | 1.07039i | 0.989852 | + | 0.142100i | \(0.0453856\pi\) |
−0.371864 | + | 0.928287i | \(0.621281\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.3439 | + | 2.02006i | 0.605104 | + | 0.0796634i | 0.426852 | − | 0.904321i | \(-0.359623\pi\) |
0.178252 | + | 0.983985i | \(0.442956\pi\) | |||||||
\(644\) | 0.650663 | − | 1.83252i | 0.0256397 | − | 0.0722114i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.728940 | + | 0.460355i | 0.0286797 | + | 0.0181124i | ||||
\(647\) | 20.0214 | + | 20.0214i | 0.787122 | + | 0.787122i | 0.981021 | − | 0.193899i | \(-0.0621134\pi\) |
−0.193899 | + | 0.981021i | \(0.562113\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.347968 | + | 0.347968i | −0.0136589 | + | 0.0136589i | ||||
\(650\) | −16.6946 | + | 3.77023i | −0.654817 | + | 0.147881i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.95035 | − | 0.358396i | 0.272197 | − | 0.0140359i | ||||
\(653\) | −4.94198 | + | 37.5381i | −0.193395 | + | 1.46898i | 0.569251 | + | 0.822164i | \(0.307233\pi\) |
−0.762646 | + | 0.646816i | \(0.776100\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −27.6165 | + | 15.9444i | −1.07907 | + | 0.622999i | ||||
\(656\) | −11.7628 | + | 26.3007i | −0.459262 | + | 1.02687i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.69600 | − | 2.24415i | −0.105101 | − | 0.0874862i | ||||
\(659\) | 16.1814 | + | 12.4164i | 0.630337 | + | 0.483674i | 0.873832 | − | 0.486228i | \(-0.161627\pi\) |
−0.243495 | + | 0.969902i | \(0.578294\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.4638 | + | 22.7592i | 0.679261 | + | 0.885231i | 0.998039 | − | 0.0625990i | \(-0.0199389\pi\) |
−0.318777 | + | 0.947830i | \(0.603272\pi\) | |||||||
\(662\) | 3.15297 | − | 2.91212i | 0.122544 | − | 0.113183i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −15.1506 | + | 37.8366i | −0.587957 | + | 1.46835i | ||||
\(665\) | −0.876987 | − | 0.876987i | −0.0340081 | − | 0.0340081i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.793292 | + | 0.328592i | 0.0307164 | + | 0.0127232i | ||||
\(668\) | −2.34115 | + | 29.4310i | −0.0905819 | + | 1.13872i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.921673 | + | 1.99706i | −0.0356073 | + | 0.0771530i | ||||
\(671\) | −0.137418 | + | 0.238015i | −0.00530496 | + | 0.00918846i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.10196 | − | 12.3009i | −0.273760 | − | 0.474167i | 0.696061 | − | 0.717982i | \(-0.254934\pi\) |
−0.969822 | + | 0.243816i | \(0.921601\pi\) | |||||||
\(674\) | 14.2778 | − | 1.30590i | 0.549962 | − | 0.0503014i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −14.9548 | + | 21.7203i | −0.575186 | + | 0.835396i | ||||
\(677\) | −0.895883 | − | 6.80491i | −0.0344316 | − | 0.261534i | −0.999999 | − | 0.00138105i | \(-0.999560\pi\) |
0.965567 | − | 0.260153i | \(-0.0837729\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.27719 | − | 0.878120i | 0.125767 | − | 0.0336991i | ||||
\(680\) | −0.713422 | + | 0.952880i | −0.0273585 | + | 0.0365413i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.0151207 | + | 0.0669547i | 0.000579003 | + | 0.00256383i | ||||
\(683\) | 8.76398 | − | 21.1581i | 0.335344 | − | 0.809593i | −0.662806 | − | 0.748791i | \(-0.730634\pi\) |
0.998150 | − | 0.0608011i | \(-0.0193656\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.49867 | + | 3.52026i | −0.324717 | + | 0.134502i | ||||
\(686\) | 1.08393 | − | 6.29226i | 0.0413846 | − | 0.240240i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −28.1964 | − | 17.3440i | −1.07498 | − | 0.661235i | ||||
\(689\) | −31.5888 | − | 18.2378i | −1.20344 | − | 0.694804i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 36.1977 | + | 27.7755i | 1.37703 | + | 1.05663i | 0.990960 | + | 0.134157i | \(0.0428326\pi\) |
0.386065 | + | 0.922472i | \(0.373834\pi\) | |||||||
\(692\) | −34.8762 | + | 22.6072i | −1.32579 | + | 0.859397i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.13429 | + | 16.5106i | −0.194895 | + | 0.626735i | ||||
\(695\) | 0.739587 | + | 0.198172i | 0.0280541 | + | 0.00751708i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.80381 | + | 0.483329i | −0.0683241 | + | 0.0183074i | ||||
\(698\) | −0.367524 | + | 9.25499i | −0.0139110 | + | 0.350306i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.16956 | + | 0.997199i | −0.0442052 | + | 0.0376906i | ||||
\(701\) | −10.5425 | − | 25.4518i | −0.398183 | − | 0.961299i | −0.988097 | − | 0.153833i | \(-0.950838\pi\) |
0.589914 | − | 0.807466i | \(-0.299162\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.66068 | 0.175781 | ||||||||
\(704\) | 0.230699 | − | 0.185855i | 0.00869479 | − | 0.00700469i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −36.3332 | − | 16.7683i | −1.36742 | − | 0.631085i | ||||
\(707\) | −3.08058 | − | 0.405566i | −0.115857 | − | 0.0152529i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.482385 | + | 3.66408i | 0.0181164 | + | 0.137607i | 0.998113 | − | 0.0614078i | \(-0.0195590\pi\) |
−0.979996 | + | 0.199015i | \(0.936226\pi\) | |||||||
\(710\) | −14.8301 | + | 7.79452i | −0.556562 | + | 0.292523i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 7.93703 | − | 14.1308i | 0.297453 | − | 0.529573i | ||||
\(713\) | 3.78829 | + | 1.01507i | 0.141873 | + | 0.0380147i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.187255 | − | 0.244036i | −0.00700296 | − | 0.00912643i | ||||
\(716\) | −0.362287 | − | 7.02580i | −0.0135393 | − | 0.262566i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.85842 | − | 1.00919i | −0.218634 | − | 0.0376628i | ||||
\(719\) | − | 2.19382i | − | 0.0818157i | −0.999163 | − | 0.0409078i | \(-0.986975\pi\) | ||
0.999163 | − | 0.0409078i | \(-0.0130250\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.72831i | 0.101607i | ||||||||
\(722\) | 3.23418 | − | 18.7745i | 0.120364 | − | 0.698716i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.89679 | + | 3.51462i | 0.144823 | + | 0.130620i | ||||
\(725\) | −0.413141 | − | 0.538416i | −0.0153437 | − | 0.0199963i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 35.1358 | + | 9.41461i | 1.30311 | + | 0.349168i | 0.842627 | − | 0.538498i | \(-0.181008\pi\) |
0.460487 | + | 0.887666i | \(0.347675\pi\) | |||||||
\(728\) | −0.558666 | + | 4.66971i | −0.0207055 | + | 0.173071i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.8037 | + | 28.1659i | 0.547910 | + | 1.04247i | ||||
\(731\) | −0.280064 | − | 2.12730i | −0.0103585 | − | 0.0786809i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.60399 | − | 1.00108i | −0.280860 | − | 0.0369759i | −0.0112196 | − | 0.999937i | \(-0.503571\pi\) |
−0.269640 | + | 0.962961i | \(0.586905\pi\) | |||||||
\(734\) | −2.51330 | + | 5.44575i | −0.0927676 | + | 0.201006i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.26738 | − | 16.6085i | −0.120437 | − | 0.612197i | ||||
\(737\) | 0.0354801 | 0.00130693 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.41240 | − | 20.3093i | −0.309455 | − | 0.747091i | −0.999723 | − | 0.0235370i | \(-0.992507\pi\) |
0.690268 | − | 0.723554i | \(-0.257493\pi\) | |||||||
\(740\) | −0.510277 | + | 6.41477i | −0.0187582 | + | 0.235812i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.27301 | − | 0.129974i | −0.120156 | − | 0.00477150i | ||||
\(743\) | −36.6542 | + | 9.82146i | −1.34471 | + | 0.360314i | −0.858180 | − | 0.513349i | \(-0.828405\pi\) |
−0.486531 | + | 0.873663i | \(0.661738\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 24.4129 | + | 6.54141i | 0.894418 | + | 0.239659i | ||||
\(746\) | −11.6664 | − | 3.62789i | −0.427138 | − | 0.132827i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.0187788 | + | 0.00400806i | 0.000686622 | + | 0.000146549i | ||||
\(749\) | −3.89128 | − | 2.98588i | −0.142184 | − | 0.109102i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.408583 | + | 0.235896i | 0.0149094 | + | 0.00860796i | 0.507436 | − | 0.861689i | \(-0.330593\pi\) |
−0.492527 | + | 0.870297i | \(0.663927\pi\) | |||||||
\(752\) | −30.1496 | − | 4.82718i | −1.09944 | − | 0.176029i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.04650 | − | 0.352538i | −0.0745292 | − | 0.0128387i | ||||
\(755\) | −27.4864 | + | 11.3852i | −1.00033 | + | 0.414351i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.1627 | − | 34.1918i | 0.514752 | − | 1.24272i | −0.426338 | − | 0.904564i | \(-0.640197\pi\) |
0.941090 | − | 0.338157i | \(-0.109803\pi\) | |||||||
\(758\) | −9.99568 | + | 2.25738i | −0.363060 | + | 0.0819917i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −10.4602 | − | 2.67059i | −0.379431 | − | 0.0968725i | ||||
\(761\) | 20.0598 | − | 5.37501i | 0.727168 | − | 0.194844i | 0.123800 | − | 0.992307i | \(-0.460492\pi\) |
0.603368 | + | 0.797463i | \(0.293825\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.796566 | + | 6.05052i | 0.0288376 | + | 0.219044i | ||||
\(764\) | 5.19036 | − | 0.957465i | 0.187781 | − | 0.0346399i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.21924 | − | 13.3304i | −0.0440530 | − | 0.481647i | ||||
\(767\) | −34.0004 | − | 58.8905i | −1.22768 | − | 2.12641i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.4249 | + | 18.0564i | −0.375931 | + | 0.651132i | −0.990466 | − | 0.137758i | \(-0.956010\pi\) |
0.614535 | + | 0.788890i | \(0.289344\pi\) | |||||||
\(770\) | −0.0250810 | − | 0.0115753i | −0.000903855 | − | 0.000417144i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 18.9316 | + | 22.2038i | 0.681363 | + | 0.799133i | ||||
\(773\) | −34.6918 | − | 14.3698i | −1.24778 | − | 0.516846i | −0.341641 | − | 0.939831i | \(-0.610983\pi\) |
−0.906137 | + | 0.422984i | \(0.860983\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.19189 | − | 2.19189i | −0.0787349 | − | 0.0787349i | ||||
\(776\) | 20.6342 | − | 21.1282i | 0.740724 | − | 0.758460i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −18.3576 | − | 19.8758i | −0.658150 | − | 0.712583i | ||||
\(779\) | −10.3102 | − | 13.4366i | −0.369402 | − | 0.481415i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.214408 | + | 0.164521i | 0.00767212 | + | 0.00588703i | ||||
\(782\) | 0.701903 | − | 0.843226i | 0.0251000 | − | 0.0301537i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −9.83967 | − | 25.7625i | −0.351417 | − | 0.920091i | ||||
\(785\) | 30.7919 | − | 17.7777i | 1.09901 | − | 0.634513i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.61183 | − | 35.0303i | 0.164394 | − | 1.24870i | −0.687967 | − | 0.725742i | \(-0.741497\pi\) |
0.852361 | − | 0.522954i | \(-0.175170\pi\) | |||||||
\(788\) | −2.38781 | + | 2.64746i | −0.0850624 | + | 0.0943119i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −7.69336 | − | 34.0662i | −0.273717 | − | 1.21202i | ||||
\(791\) | 1.10775 | − | 1.10775i | 0.0393869 | − | 0.0393869i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −26.8546 | − | 26.8546i | −0.953636 | − | 0.953636i | ||||
\(794\) | −4.76179 | + | 7.53995i | −0.168989 | + | 0.267583i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.85390 | + | 1.83424i | −0.136598 | + | 0.0650130i | ||||
\(797\) | 51.9963 | + | 6.84544i | 1.84180 | + | 0.242478i | 0.969256 | − | 0.246053i | \(-0.0791336\pi\) |
0.872547 | + | 0.488531i | \(0.162467\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.989535 | − | 1.71392i | −0.0350072 | − | 0.0606343i | ||||
\(800\) | −4.32699 | + | 12.6595i | −0.152982 | + | 0.447580i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −43.9843 | + | 4.02296i | −1.55314 | + | 0.142056i | ||||
\(803\) | 0.312466 | − | 0.407214i | 0.0110267 | − | 0.0143703i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.25215 | + | 0.960811i | −0.0441326 | + | 0.0338641i | ||||
\(806\) | −9.47767 | − | 0.376367i | −0.333837 | − | 0.0132570i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −24.8633 | + | 10.6450i | −0.874688 | + | 0.374490i | ||||
\(809\) | −0.546406 | + | 0.546406i | −0.0192106 | + | 0.0192106i | −0.716647 | − | 0.697436i | \(-0.754324\pi\) |
0.697436 | + | 0.716647i | \(0.254324\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.1836 | + | 29.4138i | −0.427824 | + | 1.03286i | 0.552152 | + | 0.833743i | \(0.313807\pi\) |
−0.979976 | + | 0.199115i | \(0.936193\pi\) | |||||||
\(812\) | −0.177408 | + | 0.0574786i | −0.00622580 | + | 0.00201710i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.0974034 | − | 0.0358875i | 0.00341399 | − | 0.00125786i | ||||
\(815\) | −4.89185 | − | 2.82431i | −0.171354 | − | 0.0989313i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 16.8525 | − | 9.72980i | 0.589595 | − | 0.340403i | ||||
\(818\) | −21.5375 | + | 25.8739i | −0.753041 | + | 0.904660i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 19.6223 | − | 12.7195i | 0.685242 | − | 0.444183i | ||||
\(821\) | −14.3182 | + | 1.88503i | −0.499709 | + | 0.0657879i | −0.376168 | − | 0.926552i | \(-0.622758\pi\) |
−0.123541 | + | 0.992339i | \(0.539425\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.00325332 | + | 0.0121416i | 0.000113404 | + | 0.000423228i | 0.965983 | − | 0.258607i | \(-0.0832636\pi\) |
−0.965869 | + | 0.259031i | \(0.916597\pi\) | |||||||
\(824\) | 12.1167 | + | 20.4249i | 0.422106 | + | 0.711537i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.16317 | − | 3.26075i | −0.179650 | − | 0.113456i | ||||
\(827\) | −41.3829 | − | 17.1413i | −1.43902 | − | 0.596063i | −0.479462 | − | 0.877563i | \(-0.659168\pi\) |
−0.959561 | + | 0.281500i | \(0.909168\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.57622 | − | 3.80533i | −0.0547444 | − | 0.132165i | 0.894141 | − | 0.447786i | \(-0.147787\pi\) |
−0.948885 | + | 0.315621i | \(0.897787\pi\) | |||||||
\(830\) | 27.0224 | − | 19.0805i | 0.937962 | − | 0.662295i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 16.5564 | + | 37.4400i | 0.573989 | + | 1.29800i | ||||
\(833\) | 0.893739 | − | 1.54800i | 0.0309662 | − | 0.0536351i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 14.5875 | − | 19.0108i | 0.504821 | − | 0.657895i | ||||
\(836\) | 0.0315919 | + | 0.171258i | 0.00109263 | + | 0.00592307i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −17.6132 | + | 9.25729i | −0.608437 | + | 0.319788i | ||||
\(839\) | −5.19361 | + | 19.3828i | −0.179303 | + | 0.669170i | 0.816475 | + | 0.577381i | \(0.195925\pi\) |
−0.995778 | + | 0.0917889i | \(0.970742\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 7.48444 | + | 27.9323i | 0.258084 | + | 0.963183i | ||||
\(842\) | 4.11294 | + | 4.45311i | 0.141741 | + | 0.153464i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 1.30794 | + | 0.667814i | 0.0450212 | + | 0.0229871i | ||||
\(845\) | 19.7741 | − | 8.19071i | 0.680251 | − | 0.281769i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 3.57388i | − | 0.122800i | ||||||
\(848\) | −25.0799 | + | 13.5628i | −0.861249 | + | 0.465748i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.813674 | + | 0.299792i | −0.0279088 | + | 0.0102828i | ||||
\(851\) | 0.774158 | − | 5.88032i | 0.0265378 | − | 0.201575i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −18.1160 | + | 2.38502i | −0.620280 | + | 0.0816614i | −0.434115 | − | 0.900857i | \(-0.642939\pi\) |
−0.186164 | + | 0.982519i | \(0.559606\pi\) | |||||||
\(854\) | −3.25669 | − | 1.01273i | −0.111442 | − | 0.0346549i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −42.3920 | − | 5.07161i | −1.44893 | − | 0.173344i | ||||
\(857\) | 10.1654 | − | 37.9379i | 0.347244 | − | 1.29593i | −0.542724 | − | 0.839911i | \(-0.682607\pi\) |
0.889969 | − | 0.456022i | \(-0.150726\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −30.4283 | + | 23.3485i | −1.03820 | + | 0.796640i | −0.979461 | − | 0.201634i | \(-0.935375\pi\) |
−0.0587400 | + | 0.998273i | \(0.518708\pi\) | |||||||
\(860\) | 11.5466 | + | 24.2604i | 0.393735 | + | 0.827271i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.72076 | − | 3.85322i | −0.0926695 | − | 0.131241i | ||||
\(863\) | −8.87721 | −0.302184 | −0.151092 | − | 0.988520i | \(-0.548279\pi\) | ||||
−0.151092 | + | 0.988520i | \(0.548279\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 33.7334 | 1.14697 | ||||||||
\(866\) | 1.82774 | + | 2.58850i | 0.0621091 | + | 0.0879607i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.769117 | + | 0.366057i | −0.0261055 | + | 0.0124248i | ||||
\(869\) | −0.446948 | + | 0.342955i | −0.0151617 | + | 0.0116340i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.26894 | + | 4.73576i | −0.0429965 | + | 0.160465i | ||||
\(872\) | 32.8344 | + | 41.7584i | 1.11191 | + | 1.41412i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 9.50143 | + | 2.95465i | 0.321391 | + | 0.0999426i | ||||
\(875\) | 3.85152 | − | 0.507063i | 0.130205 | − | 0.0171418i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.661443 | + | 5.02416i | −0.0223353 | + | 0.169654i | −0.998977 | − | 0.0452207i | \(-0.985601\pi\) |
0.976642 | + | 0.214874i | \(0.0689342\pi\) | |||||||
\(878\) | 7.50478 | − | 2.76508i | 0.253274 | − | 0.0933168i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.239171 | + | 0.0247316i | −0.00806245 | + | 0.000833701i | ||||
\(881\) | − | 39.0897i | − | 1.31697i | −0.752595 | − | 0.658483i | \(-0.771198\pi\) | ||
0.752595 | − | 0.658483i | \(-0.228802\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 23.3116 | − | 9.65597i | 0.784497 | − | 0.324949i | 0.0457683 | − | 0.998952i | \(-0.485426\pi\) |
0.738729 | + | 0.674003i | \(0.235426\pi\) | |||||||
\(884\) | −1.20660 | + | 2.36318i | −0.0405825 | + | 0.0794825i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −13.2314 | − | 14.3257i | −0.444517 | − | 0.481282i | ||||
\(887\) | 2.62983 | + | 9.81464i | 0.0883009 | + | 0.329543i | 0.995919 | − | 0.0902538i | \(-0.0287678\pi\) |
−0.907618 | + | 0.419797i | \(0.862101\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.55701 | − | 5.81084i | 0.0522204 | − | 0.194889i | ||||
\(890\) | −11.6440 | + | 6.11995i | −0.390307 | + | 0.205141i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −33.5508 | + | 6.18911i | −1.12336 | + | 0.207227i | ||||
\(893\) | 10.9265 | − | 14.2398i | 0.365643 | − | 0.476515i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.85497 | + | 4.94495i | −0.0954311 | + | 0.165291i | ||||
\(896\) | 2.88032 | + | 2.28443i | 0.0962249 | + | 0.0763175i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 13.0884 | − | 9.24170i | 0.436765 | − | 0.308400i | ||||
\(899\) | −0.143932 | − | 0.347482i | −0.00480039 | − | 0.0115892i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.70738 | − | 0.707221i | −0.0568812 | − | 0.0235610i | ||||
\(902\) | −0.318935 | − | 0.201421i | −0.0106194 | − | 0.00670657i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.37329 | − | 13.2125i | 0.112194 | − | 0.439443i | ||||
\(905\) | −1.10235 | − | 4.11401i | −0.0366432 | − | 0.136754i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.9550 | + | 1.96887i | −0.496573 | + | 0.0653751i | −0.374654 | − | 0.927165i | \(-0.622238\pi\) |
−0.121920 | + | 0.992540i | \(0.538905\pi\) | |||||||
\(908\) | −17.5419 | − | 27.0619i | −0.582147 | − | 0.898079i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.44204 | − | 2.93373i | 0.0809529 | − | 0.0972522i | ||||
\(911\) | 46.1844 | − | 26.6646i | 1.53016 | − | 0.883437i | 0.530803 | − | 0.847495i | \(-0.321890\pi\) |
0.999354 | − | 0.0359415i | \(-0.0114430\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.462124 | − | 0.266808i | −0.0152941 | − | 0.00883005i | ||||
\(914\) | 41.4706 | − | 15.2795i | 1.37172 | − | 0.505401i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.657508 | + | 2.02940i | 0.0217247 | + | 0.0670533i | ||||
\(917\) | −2.44281 | + | 5.89747i | −0.0806687 | + | 0.194751i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.12257 | + | 4.12257i | −0.135991 | + | 0.135991i | −0.771826 | − | 0.635834i | \(-0.780656\pi\) |
0.635834 | + | 0.771826i | \(0.280656\pi\) | |||||||
\(920\) | −5.10693 | + | 12.7539i | −0.168370 | + | 0.420483i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −27.7455 | − | 1.10180i | −0.913750 | − | 0.0362859i | ||||
\(923\) | −29.6280 | + | 22.7343i | −0.975216 | + | 0.748310i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.85373 | + | 3.71905i | −0.0938300 | + | 0.122282i | ||||
\(926\) | 21.5645 | − | 1.97237i | 0.708654 | − | 0.0648160i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.07286 | + | 1.21819i | −0.0352184 | + | 0.0399891i | ||||
\(929\) | −9.84686 | − | 17.0553i | −0.323065 | − | 0.559565i | 0.658054 | − | 0.752971i | \(-0.271380\pi\) |
−0.981119 | + | 0.193406i | \(0.938047\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 16.0725 | + | 2.11599i | 0.526755 | + | 0.0693487i | ||||
\(932\) | 14.5220 | + | 30.5119i | 0.475683 | + | 0.999450i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −12.6019 | + | 19.9543i | −0.412348 | + | 0.652923i | ||||
\(935\) | −0.0110201 | − | 0.0110201i | −0.000360396 | − | 0.000360396i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1.70773 | − | 1.70773i | 0.0557891 | − | 0.0557891i | −0.678662 | − | 0.734451i | \(-0.737440\pi\) |
0.734451 | + | 0.678662i | \(0.237440\pi\) | |||||||
\(938\) | 0.0969890 | + | 0.429468i | 0.00316680 | + | 0.0140226i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 18.4027 | + | 16.5979i | 0.600230 | + | 0.541363i | ||||
\(941\) | −7.82656 | + | 59.4487i | −0.255139 | + | 1.93797i | 0.0822644 | + | 0.996611i | \(0.473785\pi\) |
−0.337403 | + | 0.941360i | \(0.609549\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −18.6653 | + | 10.7764i | −0.607825 | + | 0.350928i | ||||
\(944\) | −53.1345 | − | 1.48074i | −1.72938 | − | 0.0481939i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.277280 | − | 0.333108i | 0.00901514 | − | 0.0108303i | ||||
\(947\) | 9.21368 | + | 7.06990i | 0.299404 | + | 0.229741i | 0.747528 | − | 0.664231i | \(-0.231241\pi\) |
−0.448123 | + | 0.893972i | \(0.647907\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 43.1781 | + | 56.2708i | 1.40162 | + | 1.82663i | ||||
\(950\) | −5.33595 | − | 5.77726i | −0.173121 | − | 0.187439i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.00281869 | + | 0.238264i | 9.13542e−5 | + | 0.00772219i | ||||
\(953\) | 26.7046 | + | 26.7046i | 0.865046 | + | 0.865046i | 0.991919 | − | 0.126873i | \(-0.0404939\pi\) |
−0.126873 | + | 0.991919i | \(0.540494\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.95766 | − | 1.63932i | −0.128067 | − | 0.0530470i | ||||
\(956\) | −9.75758 | + | 8.31959i | −0.315583 | + | 0.269075i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 30.7085 | + | 14.1725i | 0.992147 | + | 0.457891i | ||||
\(959\) | −0.920699 | + | 1.59470i | −0.0297309 | + | 0.0514955i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.6410 | + | 25.3590i | 0.472292 | + | 0.818034i | ||||
\(962\) | 1.30652 | + | 14.2846i | 0.0421238 | + | 0.460553i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.95357 | + | 26.8530i | 0.159544 | + | 0.864876i | ||||
\(965\) | −3.09120 | − | 23.4800i | −0.0995093 | − | 0.755848i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 21.6129 | − | 5.79116i | 0.695025 | − | 0.186231i | 0.106024 | − | 0.994364i | \(-0.466188\pi\) |
0.589001 | + | 0.808132i | \(0.299521\pi\) | |||||||
\(968\) | −15.8720 | − | 26.7551i | −0.510146 | − | 0.859943i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −23.3808 | + | 5.28020i | −0.750711 | + | 0.169537i | ||||
\(971\) | 20.0398 | − | 48.3803i | 0.643106 | − | 1.55260i | −0.179361 | − | 0.983783i | \(-0.557403\pi\) |
0.822467 | − | 0.568813i | \(-0.192597\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.141603 | − | 0.0586539i | 0.00453959 | − | 0.00188036i | ||||
\(974\) | −9.94276 | − | 1.71278i | −0.318586 | − | 0.0548810i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −28.8782 | + | 6.88174i | −0.924370 | + | 0.220279i | ||||
\(977\) | −7.10520 | − | 4.10219i | −0.227316 | − | 0.131241i | 0.382017 | − | 0.924155i | \(-0.375229\pi\) |
−0.609333 | + | 0.792914i | \(0.708563\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.168345 | + | 0.129176i | 0.00538033 | + | 0.00412847i | ||||
\(980\) | −4.67206 | + | 21.8899i | −0.149244 | + | 0.699246i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 34.4234 | + | 10.7046i | 1.09850 | + | 0.341598i | ||||
\(983\) | −12.1698 | − | 3.26089i | −0.388157 | − | 0.104006i | 0.0594624 | − | 0.998231i | \(-0.481061\pi\) |
−0.447619 | + | 0.894224i | \(0.647728\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.79504 | − | 0.748928i | 0.0890573 | − | 0.0238628i | ||||
\(986\) | −0.105132 | − | 0.00417487i | −0.00334807 | − | 0.000132955i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −23.9888 | − | 1.90824i | −0.763184 | − | 0.0607092i | ||||
\(989\) | −9.47668 | − | 22.8787i | −0.301341 | − | 0.727501i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 33.1493 | 1.05302 | 0.526511 | − | 0.850168i | \(-0.323500\pi\) | ||||
0.526511 | + | 0.850168i | \(0.323500\pi\) | |||||||
\(992\) | −4.13214 | + | 6.15615i | −0.131196 | + | 0.195458i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.40533 | + | 3.04503i | −0.0445744 | + | 0.0965826i | ||||
\(995\) | 3.43452 | + | 0.452163i | 0.108882 | + | 0.0143345i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.688470 | + | 5.22945i | 0.0218041 | + | 0.165618i | 0.998883 | − | 0.0472610i | \(-0.0150492\pi\) |
−0.977079 | + | 0.212879i | \(0.931716\pi\) | |||||||
\(998\) | 21.8303 | + | 41.5350i | 0.691027 | + | 1.31477i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 864.2.bk.a.37.9 | 368 | ||
3.2 | odd | 2 | 288.2.bc.a.229.38 | yes | 368 | ||
9.2 | odd | 6 | 288.2.bc.a.133.7 | yes | 368 | ||
9.7 | even | 3 | inner | 864.2.bk.a.613.40 | 368 | ||
32.13 | even | 8 | inner | 864.2.bk.a.685.40 | 368 | ||
96.77 | odd | 8 | 288.2.bc.a.13.7 | ✓ | 368 | ||
288.173 | odd | 24 | 288.2.bc.a.205.38 | yes | 368 | ||
288.205 | even | 24 | inner | 864.2.bk.a.397.9 | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bc.a.13.7 | ✓ | 368 | 96.77 | odd | 8 | ||
288.2.bc.a.133.7 | yes | 368 | 9.2 | odd | 6 | ||
288.2.bc.a.205.38 | yes | 368 | 288.173 | odd | 24 | ||
288.2.bc.a.229.38 | yes | 368 | 3.2 | odd | 2 | ||
864.2.bk.a.37.9 | 368 | 1.1 | even | 1 | trivial | ||
864.2.bk.a.397.9 | 368 | 288.205 | even | 24 | inner | ||
864.2.bk.a.613.40 | 368 | 9.7 | even | 3 | inner | ||
864.2.bk.a.685.40 | 368 | 32.13 | even | 8 | inner |