Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [980,2,Mod(979,980)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(980, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("980.979");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 980 = 2^{2} \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 980.c (of order \(2\), degree \(1\), 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: | \(7.82533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 979.35 | ||
Character | \(\chi\) | \(=\) | 980.979 |
Dual form | 980.2.c.e.979.34 |
$q$-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 \(\left(\mathbb{Z}/980\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14730 | + | 0.826865i | 0.811263 | + | 0.584682i | ||||
\(3\) | − | 1.52335i | − | 0.879509i | −0.898118 | − | 0.439754i | \(-0.855065\pi\) | ||
0.898118 | − | 0.439754i | \(-0.144935\pi\) | |||||||
\(4\) | 0.632590 | + | 1.89732i | 0.316295 | + | 0.948661i | ||||
\(5\) | 0.0967363 | + | 2.23397i | 0.0432618 | + | 0.999064i | ||||
\(6\) | 1.25961 | − | 1.74774i | 0.514233 | − | 0.713513i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −0.843059 | + | 2.69986i | −0.298066 | + | 0.954545i | ||||
\(9\) | 0.679393 | 0.226464 | ||||||||
\(10\) | −1.73621 | + | 2.64302i | −0.549038 | + | 0.835798i | ||||
\(11\) | 4.56056i | 1.37506i | 0.726156 | + | 0.687530i | \(0.241305\pi\) | ||||
−0.726156 | + | 0.687530i | \(0.758695\pi\) | |||||||
\(12\) | 2.89029 | − | 0.963658i | 0.834356 | − | 0.278184i | ||||
\(13\) | −2.19514 | −0.608822 | −0.304411 | − | 0.952541i | \(-0.598460\pi\) | ||||
−0.304411 | + | 0.952541i | \(0.598460\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.40313 | − | 0.147364i | 0.878685 | − | 0.0380491i | ||||
\(16\) | −3.19966 | + | 2.40045i | −0.799915 | + | 0.600113i | ||||
\(17\) | −6.22202 | −1.50906 | −0.754530 | − | 0.656265i | \(-0.772135\pi\) | ||||
−0.754530 | + | 0.656265i | \(0.772135\pi\) | |||||||
\(18\) | 0.779467 | + | 0.561766i | 0.183722 | + | 0.132410i | ||||
\(19\) | 3.83396 | 0.879571 | 0.439785 | − | 0.898103i | \(-0.355055\pi\) | ||||
0.439785 | + | 0.898103i | \(0.355055\pi\) | |||||||
\(20\) | −4.17737 | + | 1.59673i | −0.934089 | + | 0.357040i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.77097 | + | 5.23233i | −0.803973 | + | 1.11554i | ||||
\(23\) | 0.430261 | 0.0897155 | 0.0448578 | − | 0.998993i | \(-0.485717\pi\) | ||||
0.0448578 | + | 0.998993i | \(0.485717\pi\) | |||||||
\(24\) | 4.11284 | + | 1.28428i | 0.839531 | + | 0.262152i | ||||
\(25\) | −4.98128 | + | 0.432213i | −0.996257 | + | 0.0864426i | ||||
\(26\) | −2.51848 | − | 1.81508i | −0.493914 | − | 0.355967i | ||||
\(27\) | − | 5.60502i | − | 1.07869i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.473706 | −0.0879650 | −0.0439825 | − | 0.999032i | \(-0.514005\pi\) | ||||
−0.0439825 | + | 0.999032i | \(0.514005\pi\) | |||||||
\(30\) | 4.02626 | + | 2.64486i | 0.735091 | + | 0.482883i | ||||
\(31\) | 7.59779 | 1.36460 | 0.682302 | − | 0.731070i | \(-0.260979\pi\) | ||||
0.682302 | + | 0.731070i | \(0.260979\pi\) | |||||||
\(32\) | −5.65582 | + | 0.108351i | −0.999817 | + | 0.0191539i | ||||
\(33\) | 6.94735 | 1.20938 | ||||||||
\(34\) | −7.13851 | − | 5.14477i | −1.22424 | − | 0.882320i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.429777 | + | 1.28903i | 0.0716295 | + | 0.214838i | ||||
\(37\) | 8.44308i | 1.38803i | 0.719959 | + | 0.694017i | \(0.244161\pi\) | ||||
−0.719959 | + | 0.694017i | \(0.755839\pi\) | |||||||
\(38\) | 4.39870 | + | 3.17017i | 0.713563 | + | 0.514269i | ||||
\(39\) | 3.34397i | 0.535464i | ||||||||
\(40\) | −6.11298 | − | 1.62220i | −0.966546 | − | 0.256492i | ||||
\(41\) | 1.45831i | 0.227750i | 0.993495 | + | 0.113875i | \(0.0363264\pi\) | ||||
−0.993495 | + | 0.113875i | \(0.963674\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.58232 | 1.30879 | 0.654396 | − | 0.756152i | \(-0.272923\pi\) | ||||
0.654396 | + | 0.756152i | \(0.272923\pi\) | |||||||
\(44\) | −8.65285 | + | 2.88496i | −1.30447 | + | 0.434925i | ||||
\(45\) | 0.0657220 | + | 1.51775i | 0.00979725 | + | 0.226252i | ||||
\(46\) | 0.493638 | + | 0.355767i | 0.0727829 | + | 0.0524550i | ||||
\(47\) | 4.48893i | 0.654778i | 0.944890 | + | 0.327389i | \(0.106169\pi\) | ||||
−0.944890 | + | 0.327389i | \(0.893831\pi\) | |||||||
\(48\) | 3.65674 | + | 4.87421i | 0.527805 | + | 0.703532i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −6.07240 | − | 3.62297i | −0.858768 | − | 0.512365i | ||||
\(51\) | 9.47833i | 1.32723i | ||||||||
\(52\) | −1.38862 | − | 4.16488i | −0.192567 | − | 0.577565i | ||||
\(53\) | − | 9.23911i | − | 1.26909i | −0.772886 | − | 0.634544i | \(-0.781188\pi\) | ||
0.772886 | − | 0.634544i | \(-0.218812\pi\) | |||||||
\(54\) | 4.63459 | − | 6.43063i | 0.630688 | − | 0.875098i | ||||
\(55\) | −10.1882 | + | 0.441172i | −1.37377 | + | 0.0594876i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − | 5.84048i | − | 0.773590i | ||||||
\(58\) | −0.543482 | − | 0.391691i | −0.0713627 | − | 0.0514315i | ||||
\(59\) | −3.13601 | −0.408273 | −0.204137 | − | 0.978942i | \(-0.565439\pi\) | ||||
−0.204137 | + | 0.978942i | \(0.565439\pi\) | |||||||
\(60\) | 2.43238 | + | 6.36362i | 0.314019 | + | 0.821540i | ||||
\(61\) | 5.71165i | 0.731302i | 0.930752 | + | 0.365651i | \(0.119154\pi\) | ||||
−0.930752 | + | 0.365651i | \(0.880846\pi\) | |||||||
\(62\) | 8.71694 | + | 6.28235i | 1.10705 | + | 0.797859i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.57850 | − | 4.55228i | −0.822313 | − | 0.569035i | ||||
\(65\) | −0.212349 | − | 4.90388i | −0.0263387 | − | 0.608252i | ||||
\(66\) | 7.97068 | + | 5.74451i | 0.981123 | + | 0.707101i | ||||
\(67\) | 14.9459 | 1.82593 | 0.912967 | − | 0.408033i | \(-0.133785\pi\) | ||||
0.912967 | + | 0.408033i | \(0.133785\pi\) | |||||||
\(68\) | −3.93598 | − | 11.8052i | −0.477308 | − | 1.43159i | ||||
\(69\) | − | 0.655439i | − | 0.0789056i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 4.57799i | − | 0.543308i | −0.962395 | − | 0.271654i | \(-0.912429\pi\) | ||
0.962395 | − | 0.271654i | \(-0.0875706\pi\) | |||||||
\(72\) | −0.572768 | + | 1.83427i | −0.0675014 | + | 0.216170i | ||||
\(73\) | 12.2715 | 1.43627 | 0.718134 | − | 0.695905i | \(-0.244997\pi\) | ||||
0.718134 | + | 0.695905i | \(0.244997\pi\) | |||||||
\(74\) | −6.98128 | + | 9.68674i | −0.811558 | + | 1.12606i | ||||
\(75\) | 0.658413 | + | 7.58826i | 0.0760270 | + | 0.876217i | ||||
\(76\) | 2.42532 | + | 7.27425i | 0.278204 | + | 0.834414i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.76501 | + | 3.83653i | −0.313076 | + | 0.434402i | ||||
\(79\) | − | 6.20417i | − | 0.698024i | −0.937118 | − | 0.349012i | \(-0.886517\pi\) | ||
0.937118 | − | 0.349012i | \(-0.113483\pi\) | |||||||
\(80\) | −5.67207 | − | 6.91575i | −0.634157 | − | 0.773204i | ||||
\(81\) | −6.50025 | −0.722250 | ||||||||
\(82\) | −1.20583 | + | 1.67312i | −0.133161 | + | 0.184765i | ||||
\(83\) | − | 7.69966i | − | 0.845148i | −0.906329 | − | 0.422574i | \(-0.861127\pi\) | ||
0.906329 | − | 0.422574i | \(-0.138873\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.601895 | − | 13.8998i | −0.0652847 | − | 1.50765i | ||||
\(86\) | 9.84648 | + | 7.09641i | 1.06177 | + | 0.765226i | ||||
\(87\) | 0.721622i | 0.0773660i | ||||||||
\(88\) | −12.3129 | − | 3.84482i | −1.31256 | − | 0.409859i | ||||
\(89\) | − | 9.32432i | − | 0.988376i | −0.869355 | − | 0.494188i | \(-0.835466\pi\) | ||
0.869355 | − | 0.494188i | \(-0.164534\pi\) | |||||||
\(90\) | −1.17957 | + | 1.79565i | −0.124337 | + | 0.189278i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.272178 | + | 0.816343i | 0.0283766 | + | 0.0851096i | ||||
\(93\) | − | 11.5741i | − | 1.20018i | ||||||
\(94\) | −3.71174 | + | 5.15014i | −0.382836 | + | 0.531197i | ||||
\(95\) | 0.370883 | + | 8.56497i | 0.0380518 | + | 0.878747i | ||||
\(96\) | 0.165057 | + | 8.61581i | 0.0168460 | + | 0.879347i | ||||
\(97\) | −9.05280 | −0.919172 | −0.459586 | − | 0.888133i | \(-0.652002\pi\) | ||||
−0.459586 | + | 0.888133i | \(0.652002\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.09841i | 0.311402i | ||||||||
\(100\) | −3.97116 | − | 9.17769i | −0.397116 | − | 0.917769i | ||||
\(101\) | 7.99802i | 0.795832i | 0.917422 | + | 0.397916i | \(0.130267\pi\) | ||||
−0.917422 | + | 0.397916i | \(0.869733\pi\) | |||||||
\(102\) | −7.83730 | + | 10.8745i | −0.776008 | + | 1.07673i | ||||
\(103\) | 12.5017i | 1.23183i | 0.787813 | + | 0.615914i | \(0.211213\pi\) | ||||
−0.787813 | + | 0.615914i | \(0.788787\pi\) | |||||||
\(104\) | 1.85063 | − | 5.92657i | 0.181469 | − | 0.581148i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.63949 | − | 10.6000i | 0.742013 | − | 1.02956i | ||||
\(107\) | −14.4668 | −1.39855 | −0.699277 | − | 0.714851i | \(-0.746495\pi\) | ||||
−0.699277 | + | 0.714851i | \(0.746495\pi\) | |||||||
\(108\) | 10.6345 | − | 3.54568i | 1.02331 | − | 0.341183i | ||||
\(109\) | 18.2962 | 1.75246 | 0.876230 | − | 0.481892i | \(-0.160050\pi\) | ||||
0.876230 | + | 0.481892i | \(0.160050\pi\) | |||||||
\(110\) | −12.0537 | − | 7.91809i | −1.14927 | − | 0.754960i | ||||
\(111\) | 12.8618 | 1.22079 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 1.13588i | − | 0.106854i | −0.998572 | − | 0.0534272i | \(-0.982986\pi\) | ||
0.998572 | − | 0.0534272i | \(-0.0170145\pi\) | |||||||
\(114\) | 4.82928 | − | 6.70077i | 0.452304 | − | 0.627585i | ||||
\(115\) | 0.0416218 | + | 0.961191i | 0.00388126 | + | 0.0896315i | ||||
\(116\) | −0.299662 | − | 0.898773i | −0.0278229 | − | 0.0834490i | ||||
\(117\) | −1.49136 | −0.137876 | ||||||||
\(118\) | −3.59794 | − | 2.59305i | −0.331217 | − | 0.238710i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −2.47118 | + | 9.31223i | −0.225587 | + | 0.850086i | ||||
\(121\) | −9.79871 | −0.890791 | ||||||||
\(122\) | −4.72277 | + | 6.55298i | −0.427579 | + | 0.593278i | ||||
\(123\) | 2.22153 | 0.200309 | ||||||||
\(124\) | 4.80629 | + | 14.4155i | 0.431617 | + | 1.29455i | ||||
\(125\) | −1.44742 | − | 11.0863i | −0.129462 | − | 0.991584i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.33473 | 0.739588 | 0.369794 | − | 0.929114i | \(-0.379428\pi\) | ||||
0.369794 | + | 0.929114i | \(0.379428\pi\) | |||||||
\(128\) | −3.78339 | − | 10.6624i | −0.334407 | − | 0.942429i | ||||
\(129\) | − | 13.0739i | − | 1.15109i | ||||||
\(130\) | 3.81122 | − | 5.80180i | 0.334266 | − | 0.508852i | ||||
\(131\) | −5.68203 | −0.496441 | −0.248220 | − | 0.968704i | \(-0.579846\pi\) | ||||
−0.248220 | + | 0.968704i | \(0.579846\pi\) | |||||||
\(132\) | 4.39482 | + | 13.1814i | 0.382520 | + | 1.14729i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 17.1474 | + | 12.3583i | 1.48131 | + | 1.06759i | ||||
\(135\) | 12.5215 | − | 0.542209i | 1.07768 | − | 0.0466659i | ||||
\(136\) | 5.24553 | − | 16.7986i | 0.449800 | − | 1.44047i | ||||
\(137\) | − | 14.7846i | − | 1.26313i | −0.775321 | − | 0.631567i | \(-0.782412\pi\) | ||
0.775321 | − | 0.631567i | \(-0.217588\pi\) | |||||||
\(138\) | 0.541959 | − | 0.751985i | 0.0461347 | − | 0.0640132i | ||||
\(139\) | −1.11362 | −0.0944558 | −0.0472279 | − | 0.998884i | \(-0.515039\pi\) | ||||
−0.0472279 | + | 0.998884i | \(0.515039\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.83823 | 0.575883 | ||||||||
\(142\) | 3.78538 | − | 5.25233i | 0.317662 | − | 0.440766i | ||||
\(143\) | − | 10.0111i | − | 0.837166i | ||||||
\(144\) | −2.17383 | + | 1.63085i | −0.181152 | + | 0.135904i | ||||
\(145\) | −0.0458246 | − | 1.05825i | −0.00380552 | − | 0.0878826i | ||||
\(146\) | 14.0790 | + | 10.1468i | 1.16519 | + | 0.839759i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −16.0192 | + | 5.34101i | −1.31677 | + | 0.439028i | ||||
\(149\) | 6.87811 | 0.563476 | 0.281738 | − | 0.959491i | \(-0.409089\pi\) | ||||
0.281738 | + | 0.959491i | \(0.409089\pi\) | |||||||
\(150\) | −5.51907 | + | 9.25042i | −0.450630 | + | 0.755294i | ||||
\(151\) | − | 21.2380i | − | 1.72832i | −0.503215 | − | 0.864161i | \(-0.667850\pi\) | ||
0.503215 | − | 0.864161i | \(-0.332150\pi\) | |||||||
\(152\) | −3.23225 | + | 10.3512i | −0.262170 | + | 0.839590i | ||||
\(153\) | −4.22720 | −0.341748 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.734983 | + | 16.9733i | 0.0590352 | + | 1.36333i | ||||
\(156\) | −6.34459 | + | 2.11536i | −0.507974 | + | 0.169364i | ||||
\(157\) | −2.32742 | −0.185748 | −0.0928741 | − | 0.995678i | \(-0.529605\pi\) | ||||
−0.0928741 | + | 0.995678i | \(0.529605\pi\) | |||||||
\(158\) | 5.13001 | − | 7.11804i | 0.408122 | − | 0.566281i | ||||
\(159\) | −14.0744 | −1.11617 | ||||||||
\(160\) | −0.789176 | − | 12.6245i | −0.0623898 | − | 0.998052i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −7.45773 | − | 5.37482i | −0.585934 | − | 0.422286i | ||||
\(163\) | 3.06683 | 0.240213 | 0.120106 | − | 0.992761i | \(-0.461676\pi\) | ||||
0.120106 | + | 0.992761i | \(0.461676\pi\) | |||||||
\(164\) | −2.76689 | + | 0.922515i | −0.216058 | + | 0.0720363i | ||||
\(165\) | 0.672061 | + | 15.5202i | 0.0523199 | + | 1.20825i | ||||
\(166\) | 6.36658 | − | 8.83381i | 0.494142 | − | 0.685637i | ||||
\(167\) | − | 13.0431i | − | 1.00930i | −0.863323 | − | 0.504652i | \(-0.831621\pi\) | ||
0.863323 | − | 0.504652i | \(-0.168379\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.18137 | −0.629336 | ||||||||
\(170\) | 10.8027 | − | 16.4449i | 0.828531 | − | 1.26127i | ||||
\(171\) | 2.60477 | 0.199191 | ||||||||
\(172\) | 5.42909 | + | 16.2834i | 0.413964 | + | 1.24160i | ||||
\(173\) | 11.0602 | 0.840895 | 0.420448 | − | 0.907317i | \(-0.361873\pi\) | ||||
0.420448 | + | 0.907317i | \(0.361873\pi\) | |||||||
\(174\) | −0.596684 | + | 0.827916i | −0.0452345 | + | 0.0627642i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −10.9474 | − | 14.5922i | −0.825192 | − | 1.09993i | ||||
\(177\) | 4.77725i | 0.359080i | ||||||||
\(178\) | 7.70995 | − | 10.6978i | 0.577885 | − | 0.801832i | ||||
\(179\) | − | 22.0450i | − | 1.64772i | −0.566794 | − | 0.823860i | \(-0.691816\pi\) | ||
0.566794 | − | 0.823860i | \(-0.308184\pi\) | |||||||
\(180\) | −2.83808 | + | 1.08481i | −0.211538 | + | 0.0808567i | ||||
\(181\) | − | 2.49964i | − | 0.185797i | −0.995676 | − | 0.0928984i | \(-0.970387\pi\) | ||
0.995676 | − | 0.0928984i | \(-0.0296132\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.70087 | 0.643187 | ||||||||
\(184\) | −0.362735 | + | 1.16164i | −0.0267412 | + | 0.0856375i | ||||
\(185\) | −18.8616 | + | 0.816752i | −1.38673 | + | 0.0600488i | ||||
\(186\) | 9.57024 | − | 13.2790i | 0.701724 | − | 0.973662i | ||||
\(187\) | − | 28.3759i | − | 2.07505i | ||||||
\(188\) | −8.51694 | + | 2.83965i | −0.621162 | + | 0.207103i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.65655 | + | 10.1332i | −0.482917 | + | 0.735143i | ||||
\(191\) | 7.76066i | 0.561542i | 0.959775 | + | 0.280771i | \(0.0905901\pi\) | ||||
−0.959775 | + | 0.280771i | \(0.909410\pi\) | |||||||
\(192\) | −6.93474 | + | 10.0214i | −0.500472 | + | 0.723231i | ||||
\(193\) | 6.03714i | 0.434563i | 0.976109 | + | 0.217281i | \(0.0697189\pi\) | ||||
−0.976109 | + | 0.217281i | \(0.930281\pi\) | |||||||
\(194\) | −10.3863 | − | 7.48544i | −0.745690 | − | 0.537423i | ||||
\(195\) | −7.47035 | + | 0.323483i | −0.534963 | + | 0.0231651i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.74467i | 0.694279i | 0.937813 | + | 0.347140i | \(0.112847\pi\) | ||||
−0.937813 | + | 0.347140i | \(0.887153\pi\) | |||||||
\(198\) | −2.56197 | + | 3.55481i | −0.182071 | + | 0.252629i | ||||
\(199\) | −17.2535 | −1.22307 | −0.611535 | − | 0.791217i | \(-0.709448\pi\) | ||||
−0.611535 | + | 0.791217i | \(0.709448\pi\) | |||||||
\(200\) | 3.03260 | − | 13.8132i | 0.214437 | − | 0.976738i | ||||
\(201\) | − | 22.7679i | − | 1.60593i | ||||||
\(202\) | −6.61328 | + | 9.17612i | −0.465309 | + | 0.645629i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −17.9834 | + | 5.99590i | −1.25909 | + | 0.419797i | ||||
\(205\) | −3.25784 | + | 0.141072i | −0.227537 | + | 0.00985289i | ||||
\(206\) | −10.3372 | + | 14.3432i | −0.720227 | + | 0.999336i | ||||
\(207\) | 0.292316 | 0.0203174 | ||||||||
\(208\) | 7.02369 | − | 5.26932i | 0.487006 | − | 0.365362i | ||||
\(209\) | 17.4850i | 1.20946i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 26.8147i | − | 1.84600i | −0.384796 | − | 0.923002i | \(-0.625728\pi\) | ||
0.384796 | − | 0.923002i | \(-0.374272\pi\) | |||||||
\(212\) | 17.5296 | − | 5.84456i | 1.20393 | − | 0.401406i | ||||
\(213\) | −6.97391 | −0.477844 | ||||||||
\(214\) | −16.5977 | − | 11.9620i | −1.13459 | − | 0.817709i | ||||
\(215\) | 0.830222 | + | 19.1727i | 0.0566207 | + | 1.30757i | ||||
\(216\) | 15.1328 | + | 4.72536i | 1.02965 | + | 0.321520i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 20.9912 | + | 15.1285i | 1.42171 | + | 1.02463i | ||||
\(219\) | − | 18.6938i | − | 1.26321i | ||||||
\(220\) | −7.28198 | − | 19.0512i | −0.490951 | − | 1.28443i | ||||
\(221\) | 13.6582 | 0.918749 | ||||||||
\(222\) | 14.7563 | + | 10.6350i | 0.990380 | + | 0.713772i | ||||
\(223\) | 17.6054i | 1.17894i | 0.807789 | + | 0.589472i | \(0.200664\pi\) | ||||
−0.807789 | + | 0.589472i | \(0.799336\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.38425 | + | 0.293642i | −0.225617 | + | 0.0195762i | ||||
\(226\) | 0.939217 | − | 1.30319i | 0.0624758 | − | 0.0866870i | ||||
\(227\) | − | 8.79143i | − | 0.583508i | −0.956493 | − | 0.291754i | \(-0.905761\pi\) | ||
0.956493 | − | 0.291754i | \(-0.0942388\pi\) | |||||||
\(228\) | 11.0813 | − | 3.69463i | 0.733875 | − | 0.244683i | ||||
\(229\) | 17.0838i | 1.12893i | 0.825457 | + | 0.564466i | \(0.190918\pi\) | ||||
−0.825457 | + | 0.564466i | \(0.809082\pi\) | |||||||
\(230\) | −0.747022 | + | 1.13719i | −0.0492572 | + | 0.0749840i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.399362 | − | 1.27894i | 0.0262194 | − | 0.0839666i | ||||
\(233\) | 14.1823i | 0.929114i | 0.885543 | + | 0.464557i | \(0.153786\pi\) | ||||
−0.885543 | + | 0.464557i | \(0.846214\pi\) | |||||||
\(234\) | −1.71104 | − | 1.23315i | −0.111854 | − | 0.0806138i | ||||
\(235\) | −10.0282 | + | 0.434242i | −0.654164 | + | 0.0283269i | ||||
\(236\) | −1.98381 | − | 5.95001i | −0.129135 | − | 0.387313i | ||||
\(237\) | −9.45115 | −0.613918 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 13.6734i | 0.884456i | 0.896903 | + | 0.442228i | \(0.145812\pi\) | ||||
−0.896903 | + | 0.442228i | \(0.854188\pi\) | |||||||
\(240\) | −10.5351 | + | 8.64058i | −0.680040 | + | 0.557747i | ||||
\(241\) | 3.35937i | 0.216396i | 0.994129 | + | 0.108198i | \(0.0345080\pi\) | ||||
−0.994129 | + | 0.108198i | \(0.965492\pi\) | |||||||
\(242\) | −11.2420 | − | 8.10220i | −0.722666 | − | 0.520829i | ||||
\(243\) | − | 6.91288i | − | 0.443461i | ||||||
\(244\) | −10.8368 | + | 3.61313i | −0.693758 | + | 0.231307i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 2.54876 | + | 1.83690i | 0.162503 | + | 0.117117i | ||||
\(247\) | −8.41607 | −0.535502 | ||||||||
\(248\) | −6.40539 | + | 20.5130i | −0.406742 | + | 1.30258i | ||||
\(249\) | −11.7293 | −0.743315 | ||||||||
\(250\) | 7.50620 | − | 13.9161i | 0.474734 | − | 0.880129i | ||||
\(251\) | 26.2007 | 1.65377 | 0.826887 | − | 0.562368i | \(-0.190110\pi\) | ||||
0.826887 | + | 0.562368i | \(0.190110\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.96223i | 0.123364i | ||||||||
\(254\) | 9.56243 | + | 6.89170i | 0.600000 | + | 0.432423i | ||||
\(255\) | −21.1744 | + | 0.916899i | −1.32599 | + | 0.0574184i | ||||
\(256\) | 4.47565 | − | 15.3613i | 0.279728 | − | 0.960079i | ||||
\(257\) | −22.2810 | −1.38985 | −0.694926 | − | 0.719081i | \(-0.744563\pi\) | ||||
−0.694926 | + | 0.719081i | \(0.744563\pi\) | |||||||
\(258\) | 10.8104 | − | 14.9997i | 0.673023 | − | 0.933839i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 9.16991 | − | 3.50504i | 0.568694 | − | 0.217373i | ||||
\(261\) | −0.321833 | −0.0199209 | ||||||||
\(262\) | −6.51898 | − | 4.69827i | −0.402744 | − | 0.290260i | ||||
\(263\) | −13.7838 | −0.849944 | −0.424972 | − | 0.905207i | \(-0.639716\pi\) | ||||
−0.424972 | + | 0.905207i | \(0.639716\pi\) | |||||||
\(264\) | −5.85702 | + | 18.7569i | −0.360475 | + | 1.15441i | ||||
\(265\) | 20.6399 | − | 0.893757i | 1.26790 | − | 0.0549031i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −14.2042 | −0.869285 | ||||||||
\(268\) | 9.45463 | + | 28.3572i | 0.577534 | + | 1.73219i | ||||
\(269\) | − | 5.86157i | − | 0.357386i | −0.983905 | − | 0.178693i | \(-0.942813\pi\) | ||
0.983905 | − | 0.178693i | \(-0.0571869\pi\) | |||||||
\(270\) | 14.8142 | + | 9.73148i | 0.901563 | + | 0.592239i | ||||
\(271\) | 17.3982 | 1.05687 | 0.528433 | − | 0.848975i | \(-0.322780\pi\) | ||||
0.528433 | + | 0.848975i | \(0.322780\pi\) | |||||||
\(272\) | 19.9083 | − | 14.9357i | 1.20712 | − | 0.905607i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.2249 | − | 16.9624i | 0.738532 | − | 1.02473i | ||||
\(275\) | −1.97113 | − | 22.7174i | −0.118864 | − | 1.36991i | ||||
\(276\) | 1.24358 | − | 0.414624i | 0.0748547 | − | 0.0249574i | ||||
\(277\) | − | 4.01044i | − | 0.240964i | −0.992716 | − | 0.120482i | \(-0.961556\pi\) | ||
0.992716 | − | 0.120482i | \(-0.0384440\pi\) | |||||||
\(278\) | −1.27765 | − | 0.920811i | −0.0766285 | − | 0.0552266i | ||||
\(279\) | 5.16189 | 0.309034 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.7101 | −0.698566 | −0.349283 | − | 0.937017i | \(-0.613575\pi\) | ||||
−0.349283 | + | 0.937017i | \(0.613575\pi\) | |||||||
\(282\) | 7.84549 | + | 5.65429i | 0.467192 | + | 0.336708i | ||||
\(283\) | 17.6039i | 1.04644i | 0.852197 | + | 0.523221i | \(0.175270\pi\) | ||||
−0.852197 | + | 0.523221i | \(0.824730\pi\) | |||||||
\(284\) | 8.68593 | − | 2.89599i | 0.515415 | − | 0.171846i | ||||
\(285\) | 13.0475 | − | 0.564986i | 0.772866 | − | 0.0334669i | ||||
\(286\) | 8.27779 | − | 11.4857i | 0.489476 | − | 0.679162i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −3.84252 | + | 0.0736129i | −0.226423 | + | 0.00433768i | ||||
\(289\) | 21.7135 | 1.27726 | ||||||||
\(290\) | 0.822453 | − | 1.25202i | 0.0482961 | − | 0.0735209i | ||||
\(291\) | 13.7906i | 0.808420i | ||||||||
\(292\) | 7.76281 | + | 23.2829i | 0.454284 | + | 1.36253i | ||||
\(293\) | 23.5436 | 1.37543 | 0.687715 | − | 0.725980i | \(-0.258614\pi\) | ||||
0.687715 | + | 0.725980i | \(0.258614\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.303366 | − | 7.00576i | −0.0176626 | − | 0.407891i | ||||
\(296\) | −22.7951 | − | 7.11801i | −1.32494 | − | 0.413726i | ||||
\(297\) | 25.5620 | 1.48326 | ||||||||
\(298\) | 7.89124 | + | 5.68726i | 0.457127 | + | 0.329454i | ||||
\(299\) | −0.944481 | −0.0546208 | ||||||||
\(300\) | −13.9809 | + | 6.04948i | −0.807185 | + | 0.349267i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 17.5609 | − | 24.3663i | 1.01052 | − | 1.40212i | ||||
\(303\) | 12.1838 | 0.699941 | ||||||||
\(304\) | −12.2674 | + | 9.20324i | −0.703582 | + | 0.527842i | ||||
\(305\) | −12.7597 | + | 0.552524i | −0.730618 | + | 0.0316375i | ||||
\(306\) | −4.84986 | − | 3.49532i | −0.277248 | − | 0.199814i | ||||
\(307\) | − | 11.0383i | − | 0.629989i | −0.949093 | − | 0.314995i | \(-0.897997\pi\) | ||
0.949093 | − | 0.314995i | \(-0.102003\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 19.0445 | 1.08340 | ||||||||
\(310\) | −13.1914 | + | 20.0812i | −0.749219 | + | 1.14053i | ||||
\(311\) | 21.6665 | 1.22859 | 0.614297 | − | 0.789075i | \(-0.289440\pi\) | ||||
0.614297 | + | 0.789075i | \(0.289440\pi\) | |||||||
\(312\) | −9.02826 | − | 2.81916i | −0.511124 | − | 0.159604i | ||||
\(313\) | 3.82369 | 0.216128 | 0.108064 | − | 0.994144i | \(-0.465535\pi\) | ||||
0.108064 | + | 0.994144i | \(0.465535\pi\) | |||||||
\(314\) | −2.67025 | − | 1.92446i | −0.150691 | − | 0.108604i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.7713 | − | 3.92469i | 0.662188 | − | 0.220781i | ||||
\(317\) | 8.73885i | 0.490823i | 0.969419 | + | 0.245411i | \(0.0789230\pi\) | ||||
−0.969419 | + | 0.245411i | \(0.921077\pi\) | |||||||
\(318\) | −16.1476 | − | 11.6376i | −0.905511 | − | 0.652607i | ||||
\(319\) | − | 2.16036i | − | 0.120957i | ||||||
\(320\) | 9.53331 | − | 15.1366i | 0.532928 | − | 0.846161i | ||||
\(321\) | 22.0380i | 1.23004i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −23.8550 | −1.32733 | ||||||||
\(324\) | −4.11199 | − | 12.3331i | −0.228444 | − | 0.685170i | ||||
\(325\) | 10.9346 | − | 0.948767i | 0.606543 | − | 0.0526281i | ||||
\(326\) | 3.51857 | + | 2.53585i | 0.194876 | + | 0.140448i | ||||
\(327\) | − | 27.8716i | − | 1.54130i | ||||||
\(328\) | −3.93725 | − | 1.22944i | −0.217398 | − | 0.0678847i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −12.0620 | + | 18.3620i | −0.663994 | + | 1.01080i | ||||
\(331\) | 9.68144i | 0.532140i | 0.963954 | + | 0.266070i | \(0.0857252\pi\) | ||||
−0.963954 | + | 0.266070i | \(0.914275\pi\) | |||||||
\(332\) | 14.6087 | − | 4.87073i | 0.801758 | − | 0.267316i | ||||
\(333\) | 5.73617i | 0.314340i | ||||||||
\(334\) | 10.7849 | − | 14.9643i | 0.590121 | − | 0.818810i | ||||
\(335\) | 1.44581 | + | 33.3888i | 0.0789932 | + | 1.82422i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.54187i | 0.519779i | 0.965638 | + | 0.259889i | \(0.0836861\pi\) | ||||
−0.965638 | + | 0.259889i | \(0.916314\pi\) | |||||||
\(338\) | −9.38648 | − | 6.76489i | −0.510557 | − | 0.367961i | ||||
\(339\) | −1.73034 | −0.0939793 | ||||||||
\(340\) | 25.9917 | − | 9.93488i | 1.40960 | − | 0.538794i | ||||
\(341\) | 34.6502i | 1.87641i | ||||||||
\(342\) | 2.98844 | + | 2.15379i | 0.161597 | + | 0.116464i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −7.23540 | + | 23.1711i | −0.390106 | + | 1.24930i | ||||
\(345\) | 1.46423 | − | 0.0634048i | 0.0788317 | − | 0.00341360i | ||||
\(346\) | 12.6894 | + | 9.14533i | 0.682187 | + | 0.491656i | ||||
\(347\) | 24.1787 | 1.29798 | 0.648991 | − | 0.760796i | \(-0.275191\pi\) | ||||
0.648991 | + | 0.760796i | \(0.275191\pi\) | |||||||
\(348\) | −1.36915 | + | 0.456491i | −0.0733941 | + | 0.0244705i | ||||
\(349\) | − | 8.31416i | − | 0.445047i | −0.974927 | − | 0.222523i | \(-0.928571\pi\) | ||
0.974927 | − | 0.222523i | \(-0.0714294\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 12.3038i | 0.656727i | ||||||||
\(352\) | −0.494141 | − | 25.7937i | −0.0263378 | − | 1.37481i | ||||
\(353\) | −10.5285 | −0.560377 | −0.280189 | − | 0.959945i | \(-0.590397\pi\) | ||||
−0.280189 | + | 0.959945i | \(0.590397\pi\) | |||||||
\(354\) | −3.95014 | + | 5.48093i | −0.209947 | + | 0.291308i | ||||
\(355\) | 10.2271 | − | 0.442858i | 0.542799 | − | 0.0235045i | ||||
\(356\) | 17.6912 | − | 5.89847i | 0.937633 | − | 0.312618i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 18.2282 | − | 25.2922i | 0.963391 | − | 1.33673i | ||||
\(359\) | 11.1046i | 0.586080i | 0.956100 | + | 0.293040i | \(0.0946669\pi\) | ||||
−0.956100 | + | 0.293040i | \(0.905333\pi\) | |||||||
\(360\) | −4.15311 | − | 1.10211i | −0.218888 | − | 0.0580863i | ||||
\(361\) | −4.30076 | −0.226356 | ||||||||
\(362\) | 2.06686 | − | 2.86783i | 0.108632 | − | 0.150730i | ||||
\(363\) | 14.9269i | 0.783459i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.18710 | + | 27.4142i | 0.0621355 | + | 1.43492i | ||||
\(366\) | 9.98250 | + | 7.19444i | 0.521794 | + | 0.376060i | ||||
\(367\) | 23.3837i | 1.22062i | 0.792164 | + | 0.610309i | \(0.208955\pi\) | ||||
−0.792164 | + | 0.610309i | \(0.791045\pi\) | |||||||
\(368\) | −1.37669 | + | 1.03282i | −0.0717648 | + | 0.0538395i | ||||
\(369\) | 0.990769i | 0.0515774i | ||||||||
\(370\) | −22.3153 | − | 14.6590i | −1.16012 | − | 0.762083i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 21.9598 | − | 7.32168i | 1.13857 | − | 0.379611i | ||||
\(373\) | − | 8.59223i | − | 0.444889i | −0.974945 | − | 0.222444i | \(-0.928596\pi\) | ||
0.974945 | − | 0.222444i | \(-0.0714035\pi\) | |||||||
\(374\) | 23.4630 | − | 32.5556i | 1.21324 | − | 1.68341i | ||||
\(375\) | −16.8883 | + | 2.20494i | −0.872107 | + | 0.113863i | ||||
\(376\) | −12.1195 | − | 3.78443i | −0.625015 | − | 0.195167i | ||||
\(377\) | 1.03985 | 0.0535550 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 5.57279i | − | 0.286255i | −0.989704 | − | 0.143128i | \(-0.954284\pi\) | ||
0.989704 | − | 0.143128i | \(-0.0457159\pi\) | |||||||
\(380\) | −16.0159 | + | 6.12180i | −0.821597 | + | 0.314041i | ||||
\(381\) | − | 12.6967i | − | 0.650474i | ||||||
\(382\) | −6.41701 | + | 8.90380i | −0.328323 | + | 0.455558i | ||||
\(383\) | 12.2341i | 0.625135i | 0.949896 | + | 0.312567i | \(0.101189\pi\) | ||||
−0.949896 | + | 0.312567i | \(0.898811\pi\) | |||||||
\(384\) | −16.2426 | + | 5.76344i | −0.828874 | + | 0.294114i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −4.99190 | + | 6.92640i | −0.254081 | + | 0.352545i | ||||
\(387\) | 5.83077 | 0.296395 | ||||||||
\(388\) | −5.72671 | − | 17.1761i | −0.290730 | − | 0.871983i | ||||
\(389\) | −3.98430 | −0.202012 | −0.101006 | − | 0.994886i | \(-0.532206\pi\) | ||||
−0.101006 | + | 0.994886i | \(0.532206\pi\) | |||||||
\(390\) | −8.83820 | − | 5.80583i | −0.447539 | − | 0.293990i | ||||
\(391\) | −2.67709 | −0.135386 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 8.65574i | 0.436624i | ||||||||
\(394\) | −8.05753 | + | 11.1801i | −0.405932 | + | 0.563243i | ||||
\(395\) | 13.8600 | − | 0.600168i | 0.697370 | − | 0.0301978i | ||||
\(396\) | −5.87869 | + | 1.96002i | −0.295415 | + | 0.0984949i | ||||
\(397\) | −39.7805 | −1.99653 | −0.998263 | − | 0.0589121i | \(-0.981237\pi\) | ||||
−0.998263 | + | 0.0589121i | \(0.981237\pi\) | |||||||
\(398\) | −19.7950 | − | 14.2663i | −0.992231 | − | 0.715107i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.9009 | − | 13.3403i | 0.745046 | − | 0.667014i | ||||
\(401\) | 0.431925 | 0.0215693 | 0.0107847 | − | 0.999942i | \(-0.496567\pi\) | ||||
0.0107847 | + | 0.999942i | \(0.496567\pi\) | |||||||
\(402\) | 18.8260 | − | 26.1216i | 0.938955 | − | 1.30283i | ||||
\(403\) | −16.6782 | −0.830800 | ||||||||
\(404\) | −15.1748 | + | 5.05946i | −0.754975 | + | 0.251718i | ||||
\(405\) | −0.628810 | − | 14.5214i | −0.0312458 | − | 0.721573i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −38.5052 | −1.90863 | ||||||||
\(408\) | −25.5902 | − | 7.99079i | −1.26690 | − | 0.395603i | ||||
\(409\) | 18.3685i | 0.908263i | 0.890935 | + | 0.454132i | \(0.150050\pi\) | ||||
−0.890935 | + | 0.454132i | \(0.849950\pi\) | |||||||
\(410\) | −3.85436 | − | 2.53194i | −0.190353 | − | 0.125044i | ||||
\(411\) | −22.5222 | −1.11094 | ||||||||
\(412\) | −23.7197 | + | 7.90844i | −1.16859 | + | 0.389621i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0.335374 | + | 0.241706i | 0.0164827 | + | 0.0118792i | ||||
\(415\) | 17.2008 | − | 0.744837i | 0.844356 | − | 0.0365626i | ||||
\(416\) | 12.4153 | − | 0.237845i | 0.608710 | − | 0.0116613i | ||||
\(417\) | 1.69643i | 0.0830747i | ||||||||
\(418\) | −14.4577 | + | 20.0605i | −0.707151 | + | 0.981192i | ||||
\(419\) | −23.3512 | −1.14078 | −0.570389 | − | 0.821375i | \(-0.693208\pi\) | ||||
−0.570389 | + | 0.821375i | \(0.693208\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 35.7600 | 1.74283 | 0.871417 | − | 0.490543i | \(-0.163201\pi\) | ||||
0.871417 | + | 0.490543i | \(0.163201\pi\) | |||||||
\(422\) | 22.1722 | − | 30.7645i | 1.07932 | − | 1.49759i | ||||
\(423\) | 3.04975i | 0.148284i | ||||||||
\(424\) | 24.9443 | + | 7.78911i | 1.21140 | + | 0.378273i | ||||
\(425\) | 30.9936 | − | 2.68924i | 1.50341 | − | 0.130447i | ||||
\(426\) | −8.00116 | − | 5.76648i | −0.387657 | − | 0.279387i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −9.15152 | − | 27.4481i | −0.442355 | − | 1.32675i | ||||
\(429\) | −15.2504 | −0.736295 | ||||||||
\(430\) | −14.9007 | + | 22.6833i | −0.718575 | + | 1.09388i | ||||
\(431\) | 14.6244i | 0.704430i | 0.935919 | + | 0.352215i | \(0.114571\pi\) | ||||
−0.935919 | + | 0.352215i | \(0.885429\pi\) | |||||||
\(432\) | 13.4546 | + | 17.9342i | 0.647334 | + | 0.862857i | ||||
\(433\) | 2.12837 | 0.102283 | 0.0511414 | − | 0.998691i | \(-0.483714\pi\) | ||||
0.0511414 | + | 0.998691i | \(0.483714\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.61208 | + | 0.0698070i | −0.0772936 | + | 0.00334699i | ||||
\(436\) | 11.5740 | + | 34.7138i | 0.554294 | + | 1.66249i | ||||
\(437\) | 1.64960 | 0.0789111 | ||||||||
\(438\) | 15.4572 | − | 21.4474i | 0.738575 | − | 1.02480i | ||||
\(439\) | 24.6770 | 1.17777 | 0.588884 | − | 0.808217i | \(-0.299567\pi\) | ||||
0.588884 | + | 0.808217i | \(0.299567\pi\) | |||||||
\(440\) | 7.39813 | − | 27.8786i | 0.352692 | − | 1.32906i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 15.6700 | + | 11.2935i | 0.745347 | + | 0.537175i | ||||
\(443\) | −16.1404 | −0.766855 | −0.383427 | − | 0.923571i | \(-0.625256\pi\) | ||||
−0.383427 | + | 0.923571i | \(0.625256\pi\) | |||||||
\(444\) | 8.13624 | + | 24.4030i | 0.386129 | + | 1.15811i | ||||
\(445\) | 20.8303 | − | 0.902000i | 0.987450 | − | 0.0427589i | ||||
\(446\) | −14.5573 | + | 20.1987i | −0.689307 | + | 0.956434i | ||||
\(447\) | − | 10.4778i | − | 0.495582i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −28.5162 | −1.34576 | −0.672882 | − | 0.739750i | \(-0.734944\pi\) | ||||
−0.672882 | + | 0.739750i | \(0.734944\pi\) | |||||||
\(450\) | −4.12555 | − | 2.46142i | −0.194480 | − | 0.116032i | ||||
\(451\) | −6.65073 | −0.313171 | ||||||||
\(452\) | 2.15512 | − | 0.718544i | 0.101369 | − | 0.0337975i | ||||
\(453\) | −32.3530 | −1.52007 | ||||||||
\(454\) | 7.26932 | − | 10.0864i | 0.341166 | − | 0.473378i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 15.7685 | + | 4.92386i | 0.738427 | + | 0.230581i | ||||
\(457\) | − | 23.3827i | − | 1.09380i | −0.837199 | − | 0.546899i | \(-0.815808\pi\) | ||
0.837199 | − | 0.546899i | \(-0.184192\pi\) | |||||||
\(458\) | −14.1260 | + | 19.6003i | −0.660065 | + | 0.915860i | ||||
\(459\) | 34.8745i | 1.62780i | ||||||||
\(460\) | −1.79736 | + | 0.687010i | −0.0838023 | + | 0.0320320i | ||||
\(461\) | − | 9.92550i | − | 0.462277i | −0.972921 | − | 0.231138i | \(-0.925755\pi\) | ||
0.972921 | − | 0.231138i | \(-0.0742450\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −16.8887 | −0.784887 | −0.392443 | − | 0.919776i | \(-0.628370\pi\) | ||||
−0.392443 | + | 0.919776i | \(0.628370\pi\) | |||||||
\(464\) | 1.51570 | − | 1.13711i | 0.0703645 | − | 0.0527890i | ||||
\(465\) | 25.8563 | − | 1.11964i | 1.19906 | − | 0.0519220i | ||||
\(466\) | −11.7269 | + | 16.2714i | −0.543236 | + | 0.753756i | ||||
\(467\) | − | 30.7573i | − | 1.42328i | −0.702546 | − | 0.711638i | \(-0.747954\pi\) | ||
0.702546 | − | 0.711638i | \(-0.252046\pi\) | |||||||
\(468\) | −0.943420 | − | 2.82959i | −0.0436096 | − | 0.130798i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −11.8643 | − | 7.79372i | −0.547262 | − | 0.359497i | ||||
\(471\) | 3.54548i | 0.163367i | ||||||||
\(472\) | 2.64384 | − | 8.46678i | 0.121692 | − | 0.389715i | ||||
\(473\) | 39.1402i | 1.79967i | ||||||||
\(474\) | −10.8433 | − | 7.81482i | −0.498049 | − | 0.358946i | ||||
\(475\) | −19.0980 | + | 1.65709i | −0.876278 | + | 0.0760324i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 6.27698i | − | 0.287403i | ||||||
\(478\) | −11.3060 | + | 15.6874i | −0.517125 | + | 0.717526i | ||||
\(479\) | 15.7534 | 0.719792 | 0.359896 | − | 0.932992i | \(-0.382812\pi\) | ||||
0.359896 | + | 0.932992i | \(0.382812\pi\) | |||||||
\(480\) | −19.2315 | + | 1.20219i | −0.877795 | + | 0.0548724i | ||||
\(481\) | − | 18.5337i | − | 0.845065i | ||||||
\(482\) | −2.77774 | + | 3.85420i | −0.126523 | + | 0.175554i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.19856 | − | 18.5913i | −0.281753 | − | 0.845059i | ||||
\(485\) | −0.875734 | − | 20.2237i | −0.0397650 | − | 0.918312i | ||||
\(486\) | 5.71601 | − | 7.93114i | 0.259284 | − | 0.359764i | ||||
\(487\) | −13.5048 | −0.611963 | −0.305981 | − | 0.952038i | \(-0.598985\pi\) | ||||
−0.305981 | + | 0.952038i | \(0.598985\pi\) | |||||||
\(488\) | −15.4207 | − | 4.81526i | −0.698061 | − | 0.217977i | ||||
\(489\) | − | 4.67187i | − | 0.211269i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 3.87067i | − | 0.174681i | −0.996179 | − | 0.0873404i | \(-0.972163\pi\) | ||
0.996179 | − | 0.0873404i | \(-0.0278368\pi\) | |||||||
\(492\) | 1.40532 | + | 4.21496i | 0.0633566 | + | 0.190025i | ||||
\(493\) | 2.94741 | 0.132745 | ||||||||
\(494\) | −9.65574 | − | 6.95895i | −0.434432 | − | 0.313098i | ||||
\(495\) | −6.92178 | + | 0.299729i | −0.311111 | + | 0.0134718i | ||||
\(496\) | −24.3104 | + | 18.2381i | −1.09157 | + | 0.818917i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −13.4570 | − | 9.69855i | −0.603024 | − | 0.434602i | ||||
\(499\) | 24.3694i | 1.09092i | 0.838136 | + | 0.545462i | \(0.183646\pi\) | ||||
−0.838136 | + | 0.545462i | \(0.816354\pi\) | |||||||
\(500\) | 20.1186 | − | 9.75928i | 0.899729 | − | 0.436448i | ||||
\(501\) | −19.8692 | −0.887691 | ||||||||
\(502\) | 30.0600 | + | 21.6644i | 1.34165 | + | 0.966931i | ||||
\(503\) | 11.2245i | 0.500475i | 0.968184 | + | 0.250238i | \(0.0805087\pi\) | ||||
−0.968184 | + | 0.250238i | \(0.919491\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.8674 | + | 0.773699i | −0.795087 | + | 0.0344291i | ||||
\(506\) | −1.62250 | + | 2.25126i | −0.0721288 | + | 0.100081i | ||||
\(507\) | 12.4631i | 0.553507i | ||||||||
\(508\) | 5.27247 | + | 15.8137i | 0.233928 | + | 0.701618i | ||||
\(509\) | − | 14.3783i | − | 0.637308i | −0.947871 | − | 0.318654i | \(-0.896769\pi\) | ||
0.947871 | − | 0.318654i | \(-0.103231\pi\) | |||||||
\(510\) | −25.0515 | − | 16.4564i | −1.10930 | − | 0.728700i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 17.8366 | − | 13.9232i | 0.788274 | − | 0.615325i | ||||
\(513\) | − | 21.4894i | − | 0.948781i | ||||||
\(514\) | −25.5630 | − | 18.4234i | −1.12754 | − | 0.812621i | ||||
\(515\) | −27.9284 | + | 1.20937i | −1.23067 | + | 0.0532911i | ||||
\(516\) | 24.8054 | − | 8.27042i | 1.09200 | − | 0.364085i | ||||
\(517\) | −20.4720 | −0.900359 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 16.8487i | − | 0.739575i | ||||||
\(520\) | 13.4188 | + | 3.56095i | 0.588454 | + | 0.156158i | ||||
\(521\) | 25.8122i | 1.13085i | 0.824799 | + | 0.565426i | \(0.191288\pi\) | ||||
−0.824799 | + | 0.565426i | \(0.808712\pi\) | |||||||
\(522\) | −0.369238 | − | 0.266112i | −0.0161611 | − | 0.0116474i | ||||
\(523\) | 4.42548i | 0.193513i | 0.995308 | + | 0.0967563i | \(0.0308468\pi\) | ||||
−0.995308 | + | 0.0967563i | \(0.969153\pi\) | |||||||
\(524\) | −3.59439 | − | 10.7806i | −0.157022 | − | 0.470954i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −15.8141 | − | 11.3973i | −0.689528 | − | 0.496946i | ||||
\(527\) | −47.2736 | −2.05927 | ||||||||
\(528\) | −22.2291 | + | 16.6768i | −0.967400 | + | 0.725764i | ||||
\(529\) | −22.8149 | −0.991951 | ||||||||
\(530\) | 24.4192 | + | 16.0410i | 1.06070 | + | 0.696777i | ||||
\(531\) | −2.13058 | −0.0924593 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 3.20120i | − | 0.138659i | ||||||
\(534\) | −16.2965 | − | 11.7450i | −0.705219 | − | 0.508255i | ||||
\(535\) | −1.39946 | − | 32.3184i | −0.0605039 | − | 1.39724i | ||||
\(536\) | −12.6003 | + | 40.3519i | −0.544249 | + | 1.74294i | ||||
\(537\) | −33.5823 | −1.44918 | ||||||||
\(538\) | 4.84672 | − | 6.72497i | 0.208957 | − | 0.289934i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 8.94970 | + | 23.4143i | 0.385134 | + | 1.00759i | ||||
\(541\) | 4.10160 | 0.176342 | 0.0881708 | − | 0.996105i | \(-0.471898\pi\) | ||||
0.0881708 | + | 0.996105i | \(0.471898\pi\) | |||||||
\(542\) | 19.9610 | + | 14.3860i | 0.857396 | + | 0.617930i | ||||
\(543\) | −3.80784 | −0.163410 | ||||||||
\(544\) | 35.1906 | − | 0.674161i | 1.50878 | − | 0.0289044i | ||||
\(545\) | 1.76991 | + | 40.8733i | 0.0758146 | + | 1.75082i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.16833 | −0.178225 | −0.0891125 | − | 0.996022i | \(-0.528403\pi\) | ||||
−0.0891125 | + | 0.996022i | \(0.528403\pi\) | |||||||
\(548\) | 28.0512 | − | 9.35259i | 1.19829 | − | 0.399523i | ||||
\(549\) | 3.88046i | 0.165614i | ||||||||
\(550\) | 16.5228 | − | 27.6936i | 0.704533 | − | 1.18086i | ||||
\(551\) | −1.81617 | −0.0773714 | ||||||||
\(552\) | 1.76959 | + | 0.552574i | 0.0753190 | + | 0.0235191i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 3.31609 | − | 4.60117i | 0.140887 | − | 0.195485i | ||||
\(555\) | 1.24420 | + | 28.7329i | 0.0528135 | + | 1.21964i | ||||
\(556\) | −0.704463 | − | 2.11289i | −0.0298759 | − | 0.0896065i | ||||
\(557\) | − | 12.1574i | − | 0.515124i | −0.966262 | − | 0.257562i | \(-0.917081\pi\) | ||
0.966262 | − | 0.257562i | \(-0.0829192\pi\) | |||||||
\(558\) | 5.92223 | + | 4.26818i | 0.250708 | + | 0.180687i | ||||
\(559\) | −18.8394 | −0.796820 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −43.2265 | −1.82502 | ||||||||
\(562\) | −13.4350 | − | 9.68267i | −0.566721 | − | 0.408439i | ||||
\(563\) | − | 24.9027i | − | 1.04952i | −0.851249 | − | 0.524762i | \(-0.824154\pi\) | ||
0.851249 | − | 0.524762i | \(-0.175846\pi\) | |||||||
\(564\) | 4.32579 | + | 12.9743i | 0.182149 | + | 0.546317i | ||||
\(565\) | 2.53752 | − | 0.109881i | 0.106754 | − | 0.00462271i | ||||
\(566\) | −14.5560 | + | 20.1969i | −0.611835 | + | 0.848939i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 12.3600 | + | 3.85952i | 0.518612 | + | 0.161942i | ||||
\(569\) | −29.5875 | −1.24037 | −0.620187 | − | 0.784454i | \(-0.712943\pi\) | ||||
−0.620187 | + | 0.784454i | \(0.712943\pi\) | |||||||
\(570\) | 15.4365 | + | 10.1403i | 0.646565 | + | 0.424730i | ||||
\(571\) | − | 24.5175i | − | 1.02603i | −0.858381 | − | 0.513013i | \(-0.828529\pi\) | ||
0.858381 | − | 0.513013i | \(-0.171471\pi\) | |||||||
\(572\) | 18.9942 | − | 6.33289i | 0.794187 | − | 0.264791i | ||||
\(573\) | 11.8222 | 0.493881 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.14325 | + | 0.185964i | −0.0893797 | + | 0.00775524i | ||||
\(576\) | −4.46939 | − | 3.09279i | −0.186225 | − | 0.128866i | ||||
\(577\) | −13.5476 | −0.563993 | −0.281997 | − | 0.959415i | \(-0.590997\pi\) | ||||
−0.281997 | + | 0.959415i | \(0.590997\pi\) | |||||||
\(578\) | 24.9119 | + | 17.9541i | 1.03620 | + | 0.746793i | ||||
\(579\) | 9.19670 | 0.382202 | ||||||||
\(580\) | 1.97885 | − | 0.756380i | 0.0821672 | − | 0.0314070i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −11.4030 | + | 15.8220i | −0.472668 | + | 0.655841i | ||||
\(583\) | 42.1355 | 1.74507 | ||||||||
\(584\) | −10.3456 | + | 33.1313i | −0.428103 | + | 1.37098i | ||||
\(585\) | −0.144269 | − | 3.33166i | −0.00596478 | − | 0.137747i | ||||
\(586\) | 27.0115 | + | 19.4674i | 1.11584 | + | 0.804189i | ||||
\(587\) | 26.8772i | 1.10934i | 0.832070 | + | 0.554671i | \(0.187156\pi\) | ||||
−0.832070 | + | 0.554671i | \(0.812844\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 29.1296 | 1.20027 | ||||||||
\(590\) | 5.44476 | − | 8.28854i | 0.224157 | − | 0.341234i | ||||
\(591\) | 14.8446 | 0.610625 | ||||||||
\(592\) | −20.2672 | − | 27.0150i | −0.832977 | − | 1.11031i | ||||
\(593\) | −0.947148 | −0.0388947 | −0.0194473 | − | 0.999811i | \(-0.506191\pi\) | ||||
−0.0194473 | + | 0.999811i | \(0.506191\pi\) | |||||||
\(594\) | 29.3273 | + | 21.1363i | 1.20331 | + | 0.867234i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.35102 | + | 13.0500i | 0.178225 | + | 0.534548i | ||||
\(597\) | 26.2832i | 1.07570i | ||||||||
\(598\) | −1.08360 | − | 0.780958i | −0.0443118 | − | 0.0319357i | ||||
\(599\) | 22.0707i | 0.901786i | 0.892578 | + | 0.450893i | \(0.148894\pi\) | ||||
−0.892578 | + | 0.450893i | \(0.851106\pi\) | |||||||
\(600\) | −21.0423 | − | 4.61972i | −0.859049 | − | 0.188599i | ||||
\(601\) | − | 20.5283i | − | 0.837367i | −0.908132 | − | 0.418684i | \(-0.862492\pi\) | ||
0.908132 | − | 0.418684i | \(-0.137508\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 10.1542 | 0.413509 | ||||||||
\(604\) | 40.2953 | − | 13.4349i | 1.63959 | − | 0.546660i | ||||
\(605\) | −0.947891 | − | 21.8901i | −0.0385372 | − | 0.889957i | ||||
\(606\) | 13.9785 | + | 10.0744i | 0.567837 | + | 0.409243i | ||||
\(607\) | − | 25.0474i | − | 1.01664i | −0.861168 | − | 0.508321i | \(-0.830266\pi\) | ||
0.861168 | − | 0.508321i | \(-0.169734\pi\) | |||||||
\(608\) | −21.6842 | + | 0.415413i | −0.879409 | + | 0.0168472i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −15.0960 | − | 9.91663i | −0.611221 | − | 0.401512i | ||||
\(611\) | − | 9.85381i | − | 0.398643i | ||||||
\(612\) | −2.67408 | − | 8.02035i | −0.108093 | − | 0.324203i | ||||
\(613\) | 23.4199i | 0.945921i | 0.881084 | + | 0.472961i | \(0.156815\pi\) | ||||
−0.881084 | + | 0.472961i | \(0.843185\pi\) | |||||||
\(614\) | 9.12718 | − | 12.6642i | 0.368343 | − | 0.511087i | ||||
\(615\) | 0.214903 | + | 4.96284i | 0.00866571 | + | 0.200121i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 16.7405i | 0.673948i | 0.941514 | + | 0.336974i | \(0.109403\pi\) | ||||
−0.941514 | + | 0.336974i | \(0.890597\pi\) | |||||||
\(618\) | 21.8497 | + | 15.7472i | 0.878925 | + | 0.633446i | ||||
\(619\) | 27.3839 | 1.10065 | 0.550326 | − | 0.834950i | \(-0.314504\pi\) | ||||
0.550326 | + | 0.834950i | \(0.314504\pi\) | |||||||
\(620\) | −31.7388 | + | 12.1316i | −1.27466 | + | 0.487218i | ||||
\(621\) | − | 2.41162i | − | 0.0967749i | ||||||
\(622\) | 24.8579 | + | 17.9153i | 0.996712 | + | 0.718336i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −8.02704 | − | 10.6996i | −0.321339 | − | 0.428326i | ||||
\(625\) | 24.6264 | − | 4.30595i | 0.985055 | − | 0.172238i | ||||
\(626\) | 4.38691 | + | 3.16167i | 0.175336 | + | 0.126366i | ||||
\(627\) | 26.6358 | 1.06373 | ||||||||
\(628\) | −1.47230 | − | 4.41586i | −0.0587512 | − | 0.176212i | ||||
\(629\) | − | 52.5330i | − | 2.09463i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.77099i | 0.150121i | 0.997179 | + | 0.0750604i | \(0.0239150\pi\) | ||||
−0.997179 | + | 0.0750604i | \(0.976085\pi\) | |||||||
\(632\) | 16.7504 | + | 5.23048i | 0.666295 | + | 0.208057i | ||||
\(633\) | −40.8483 | −1.62358 | ||||||||
\(634\) | −7.22585 | + | 10.0261i | −0.286975 | + | 0.398186i | ||||
\(635\) | 0.806271 | + | 18.6196i | 0.0319959 | + | 0.738896i | ||||
\(636\) | −8.90334 | − | 26.7037i | −0.353040 | − | 1.05887i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 1.78633 | − | 2.47858i | 0.0707214 | − | 0.0981281i | ||||
\(639\) | − | 3.11026i | − | 0.123040i | ||||||
\(640\) | 23.4535 | − | 9.48343i | 0.927079 | − | 0.374866i | ||||
\(641\) | 25.1167 | 0.992051 | 0.496026 | − | 0.868308i | \(-0.334792\pi\) | ||||
0.496026 | + | 0.868308i | \(0.334792\pi\) | |||||||
\(642\) | −18.2224 | + | 25.2842i | −0.719182 | + | 0.997886i | ||||
\(643\) | − | 12.8390i | − | 0.506319i | −0.967424 | − | 0.253160i | \(-0.918530\pi\) | ||
0.967424 | − | 0.253160i | \(-0.0814698\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 29.2068 | − | 1.26472i | 1.15002 | − | 0.0497984i | ||||
\(646\) | −27.3688 | − | 19.7248i | −1.07681 | − | 0.776063i | ||||
\(647\) | − | 4.44061i | − | 0.174578i | −0.996183 | − | 0.0872892i | \(-0.972180\pi\) | ||
0.996183 | − | 0.0872892i | \(-0.0278204\pi\) | |||||||
\(648\) | 5.48009 | − | 17.5498i | 0.215278 | − | 0.689420i | ||||
\(649\) | − | 14.3019i | − | 0.561400i | ||||||
\(650\) | 13.3298 | + | 7.95292i | 0.522836 | + | 0.311939i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.94005 | + | 5.81877i | 0.0759781 | + | 0.227880i | ||||
\(653\) | 37.9879i | 1.48658i | 0.668968 | + | 0.743291i | \(0.266736\pi\) | ||||
−0.668968 | + | 0.743291i | \(0.733264\pi\) | |||||||
\(654\) | 23.0461 | − | 31.9771i | 0.901172 | − | 1.25040i | ||||
\(655\) | −0.549658 | − | 12.6935i | −0.0214769 | − | 0.495976i | ||||
\(656\) | −3.50061 | − | 4.66611i | −0.136676 | − | 0.182181i | ||||
\(657\) | 8.33715 | 0.325263 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 19.5420i | 0.761248i | 0.924730 | + | 0.380624i | \(0.124291\pi\) | ||||
−0.924730 | + | 0.380624i | \(0.875709\pi\) | |||||||
\(660\) | −29.0217 | + | 11.0930i | −1.12967 | + | 0.431796i | ||||
\(661\) | − | 22.8705i | − | 0.889560i | −0.895640 | − | 0.444780i | \(-0.853282\pi\) | ||
0.895640 | − | 0.444780i | \(-0.146718\pi\) | |||||||
\(662\) | −8.00524 | + | 11.1075i | −0.311132 | + | 0.431705i | ||||
\(663\) | − | 20.8062i | − | 0.808048i | ||||||
\(664\) | 20.7880 | + | 6.49127i | 0.806731 | + | 0.251910i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.74304 | + | 6.58110i | −0.183789 | + | 0.255013i | ||||
\(667\) | −0.203817 | −0.00789183 | ||||||||
\(668\) | 24.7469 | − | 8.25092i | 0.957487 | − | 0.319238i | ||||
\(669\) | 26.8193 | 1.03689 | ||||||||
\(670\) | −25.9492 | + | 39.5024i | −1.00251 | + | 1.52611i | ||||
\(671\) | −26.0483 | −1.00559 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 23.0022i | − | 0.886670i | −0.896356 | − | 0.443335i | \(-0.853795\pi\) | ||
0.896356 | − | 0.443335i | \(-0.146205\pi\) | |||||||
\(674\) | −7.88983 | + | 10.9474i | −0.303905 | + | 0.421677i | ||||
\(675\) | 2.42256 | + | 27.9202i | 0.0932444 | + | 1.07465i | ||||
\(676\) | −5.17545 | − | 15.5227i | −0.199056 | − | 0.597027i | ||||
\(677\) | 40.7663 | 1.56678 | 0.783388 | − | 0.621533i | \(-0.213490\pi\) | ||||
0.783388 | + | 0.621533i | \(0.213490\pi\) | |||||||
\(678\) | −1.98522 | − | 1.43076i | −0.0762419 | − | 0.0549480i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 38.0350 | + | 10.0933i | 1.45858 | + | 0.387062i | ||||
\(681\) | −13.3925 | −0.513200 | ||||||||
\(682\) | −28.6510 | + | 39.7541i | −1.09710 | + | 1.52226i | ||||
\(683\) | −10.9004 | −0.417092 | −0.208546 | − | 0.978013i | \(-0.566873\pi\) | ||||
−0.208546 | + | 0.978013i | \(0.566873\pi\) | |||||||
\(684\) | 1.64775 | + | 4.94208i | 0.0630032 | + | 0.188965i | ||||
\(685\) | 33.0284 | − | 1.43021i | 1.26195 | − | 0.0546455i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 26.0247 | 0.992905 | ||||||||
\(688\) | −27.4605 | + | 20.6014i | −1.04692 | + | 0.785423i | ||||
\(689\) | 20.2811i | 0.772649i | ||||||||
\(690\) | 1.73234 | + | 1.13798i | 0.0659491 | + | 0.0433221i | ||||
\(691\) | 16.0135 | 0.609183 | 0.304591 | − | 0.952483i | \(-0.401480\pi\) | ||||
0.304591 | + | 0.952483i | \(0.401480\pi\) | |||||||
\(692\) | 6.99660 | + | 20.9849i | 0.265971 | + | 0.797724i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 27.7402 | + | 19.9925i | 1.05301 | + | 0.758907i | ||||
\(695\) | −0.107727 | − | 2.48779i | −0.00408633 | − | 0.0943674i | ||||
\(696\) | −1.94828 | − | 0.608370i | −0.0738493 | − | 0.0230602i | ||||
\(697\) | − | 9.07366i | − | 0.343689i | ||||||
\(698\) | 6.87468 | − | 9.53882i | 0.260211 | − | 0.361050i | ||||
\(699\) | 21.6047 | 0.817164 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 22.0640 | 0.833346 | 0.416673 | − | 0.909057i | \(-0.363196\pi\) | ||||
0.416673 | + | 0.909057i | \(0.363196\pi\) | |||||||
\(702\) | −10.1736 | + | 14.1161i | −0.383976 | + | 0.532779i | ||||
\(703\) | 32.3704i | 1.22087i | ||||||||
\(704\) | 20.7610 | − | 30.0017i | 0.782458 | − | 1.13073i | ||||
\(705\) | 0.661505 | + | 15.2764i | 0.0249137 | + | 0.575343i | ||||
\(706\) | −12.0794 | − | 8.70567i | −0.454613 | − | 0.327642i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −9.06398 | + | 3.02204i | −0.340645 | + | 0.113575i | ||||
\(709\) | −37.1908 | −1.39673 | −0.698364 | − | 0.715743i | \(-0.746088\pi\) | ||||
−0.698364 | + | 0.715743i | \(0.746088\pi\) | |||||||
\(710\) | 12.0998 | + | 7.94836i | 0.454096 | + | 0.298296i | ||||
\(711\) | − | 4.21507i | − | 0.158077i | ||||||
\(712\) | 25.1744 | + | 7.86095i | 0.943449 | + | 0.294601i | ||||
\(713\) | 3.26903 | 0.122426 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 22.3644 | − | 0.968433i | 0.836383 | − | 0.0362173i | ||||
\(716\) | 41.8264 | − | 13.9454i | 1.56313 | − | 0.521165i | ||||
\(717\) | 20.8294 | 0.777887 | ||||||||
\(718\) | −9.18203 | + | 12.7403i | −0.342670 | + | 0.475465i | ||||
\(719\) | −36.3717 | −1.35644 | −0.678218 | − | 0.734861i | \(-0.737247\pi\) | ||||
−0.678218 | + | 0.734861i | \(0.737247\pi\) | |||||||
\(720\) | −3.85357 | − | 4.69851i | −0.143614 | − | 0.175103i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −4.93425 | − | 3.55614i | −0.183634 | − | 0.132346i | ||||
\(723\) | 5.11751 | 0.190322 | ||||||||
\(724\) | 4.74262 | − | 1.58125i | 0.176258 | − | 0.0587666i | ||||
\(725\) | 2.35966 | − | 0.204742i | 0.0876357 | − | 0.00760392i | ||||
\(726\) | −12.3425 | + | 17.1256i | −0.458074 | + | 0.635591i | ||||
\(727\) | − | 34.1872i | − | 1.26793i | −0.773360 | − | 0.633967i | \(-0.781425\pi\) | ||
0.773360 | − | 0.633967i | \(-0.218575\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −30.0315 | −1.11228 | ||||||||
\(730\) | −21.3058 | + | 32.4338i | −0.788565 | + | 1.20043i | ||||
\(731\) | −53.3993 | −1.97505 | ||||||||
\(732\) | 5.50408 | + | 16.5084i | 0.203437 | + | 0.610166i | ||||
\(733\) | 22.5349 | 0.832345 | 0.416172 | − | 0.909286i | \(-0.363371\pi\) | ||||
0.416172 | + | 0.909286i | \(0.363371\pi\) | |||||||
\(734\) | −19.3351 | + | 26.8281i | −0.713673 | + | 0.990242i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.43348 | + | 0.0466191i | −0.0896991 | + | 0.00171840i | ||||
\(737\) | 68.1618i | 2.51077i | ||||||||
\(738\) | −0.819232 | + | 1.13671i | −0.0301563 | + | 0.0418428i | ||||
\(739\) | 7.02861i | 0.258552i | 0.991609 | + | 0.129276i | \(0.0412652\pi\) | ||||
−0.991609 | + | 0.129276i | \(0.958735\pi\) | |||||||
\(740\) | −13.4813 | − | 35.2699i | −0.495583 | − | 1.29655i | ||||
\(741\) | 12.8206i | 0.470978i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −0.0257779 | −0.000945701 | −0.000472850 | − | 1.00000i | \(-0.500151\pi\) | ||||
−0.000472850 | 1.00000i | \(0.500151\pi\) | ||||||||
\(744\) | 31.2485 | + | 9.75767i | 1.14563 | + | 0.357734i | ||||
\(745\) | 0.665363 | + | 15.3655i | 0.0243770 | + | 0.562949i | ||||
\(746\) | 7.10461 | − | 9.85785i | 0.260118 | − | 0.360922i | ||||
\(747\) | − | 5.23110i | − | 0.191396i | ||||||
\(748\) | 53.8382 | − | 17.9503i | 1.96852 | − | 0.656328i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −21.1991 | − | 11.4346i | −0.774082 | − | 0.417533i | ||||
\(751\) | − | 10.3551i | − | 0.377865i | −0.981990 | − | 0.188932i | \(-0.939497\pi\) | ||
0.981990 | − | 0.188932i | \(-0.0605027\pi\) | |||||||
\(752\) | −10.7755 | − | 14.3630i | −0.392941 | − | 0.523766i | ||||
\(753\) | − | 39.9129i | − | 1.45451i | ||||||
\(754\) | 1.19302 | + | 0.859815i | 0.0434472 | + | 0.0313126i | ||||
\(755\) | 47.4451 | − | 2.05448i | 1.72670 | − | 0.0747703i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 36.2159i | 1.31629i | 0.752892 | + | 0.658145i | \(0.228658\pi\) | ||||
−0.752892 | + | 0.658145i | \(0.771342\pi\) | |||||||
\(758\) | 4.60795 | − | 6.39366i | 0.167368 | − | 0.232228i | ||||
\(759\) | 2.98917 | 0.108500 | ||||||||
\(760\) | −23.4369 | − | 6.21944i | −0.850146 | − | 0.225603i | ||||
\(761\) | − | 25.8142i | − | 0.935765i | −0.883791 | − | 0.467883i | \(-0.845017\pi\) | ||
0.883791 | − | 0.467883i | \(-0.154983\pi\) | |||||||
\(762\) | 10.4985 | − | 14.5670i | 0.380320 | − | 0.527706i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −14.7245 | + | 4.90931i | −0.532713 | + | 0.177613i | ||||
\(765\) | −0.408923 | − | 9.44345i | −0.0147847 | − | 0.341429i | ||||
\(766\) | −10.1160 | + | 14.0362i | −0.365505 | + | 0.507149i | ||||
\(767\) | 6.88396 | 0.248566 | ||||||||
\(768\) | −23.4006 | − | 6.81800i | −0.844398 | − | 0.246023i | ||||
\(769\) | 17.9643i | 0.647810i | 0.946090 | + | 0.323905i | \(0.104996\pi\) | ||||
−0.946090 | + | 0.323905i | \(0.895004\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 33.9419i | 1.22239i | ||||||||
\(772\) | −11.4544 | + | 3.81903i | −0.412253 | + | 0.137450i | ||||
\(773\) | −4.26473 | −0.153392 | −0.0766958 | − | 0.997055i | \(-0.524437\pi\) | ||||
−0.0766958 | + | 0.997055i | \(0.524437\pi\) | |||||||
\(774\) | 6.68963 | + | 4.82125i | 0.240454 | + | 0.173296i | ||||
\(775\) | −37.8468 | + | 3.28386i | −1.35950 | + | 0.117960i | ||||
\(776\) | 7.63204 | − | 24.4413i | 0.273974 | − | 0.877392i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.57118 | − | 3.29448i | −0.163885 | − | 0.118113i | ||||
\(779\) | 5.59112i | 0.200323i | ||||||||
\(780\) | −5.33942 | − | 13.9690i | −0.191182 | − | 0.500171i | ||||
\(781\) | 20.8782 | 0.747081 | ||||||||
\(782\) | −3.07142 | − | 2.21359i | −0.109834 | − | 0.0791578i | ||||
\(783\) | 2.65513i | 0.0948866i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −0.225146 | − | 5.19939i | −0.00803580 | − | 0.185574i | ||||
\(786\) | −7.15712 | + | 9.93072i | −0.255286 | + | 0.354217i | ||||
\(787\) | − | 37.6885i | − | 1.34345i | −0.740801 | − | 0.671725i | \(-0.765554\pi\) | ||
0.740801 | − | 0.671725i | \(-0.234446\pi\) | |||||||
\(788\) | −18.4888 | + | 6.16438i | −0.658636 | + | 0.219597i | ||||
\(789\) | 20.9976i | 0.747533i | ||||||||
\(790\) | 16.3978 | + | 10.7717i | 0.583407 | + | 0.383241i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −8.36529 | − | 2.61214i | −0.297247 | − | 0.0928185i | ||||
\(793\) | − | 12.5379i | − | 0.445233i | ||||||
\(794\) | −45.6401 | − | 32.8931i | −1.61971 | − | 1.16733i | ||||
\(795\) | −1.36151 | − | 31.4419i | −0.0482877 | − | 1.11513i | ||||
\(796\) | −10.9144 | − | 32.7355i | −0.386851 | − | 1.16028i | ||||
\(797\) | 12.2918 | 0.435398 | 0.217699 | − | 0.976016i | \(-0.430145\pi\) | ||||
0.217699 | + | 0.976016i | \(0.430145\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 27.9302i | − | 0.988099i | ||||||
\(800\) | 28.1264 | − | 2.98424i | 0.994418 | − | 0.105509i | ||||
\(801\) | − | 6.33488i | − | 0.223832i | ||||||
\(802\) | 0.495547 | + | 0.357144i | 0.0174984 | + | 0.0126112i | ||||
\(803\) | 55.9648i | 1.97495i | ||||||||
\(804\) | 43.1981 | − | 14.4028i | 1.52348 | − | 0.507946i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −19.1349 | − | 13.7906i | −0.673997 | − | 0.485754i | ||||
\(807\) | −8.92924 | −0.314324 | ||||||||
\(808\) | −21.5935 | − | 6.74280i | −0.759658 | − | 0.237211i | ||||
\(809\) | −27.1048 | −0.952952 | −0.476476 | − | 0.879187i | \(-0.658086\pi\) | ||||
−0.476476 | + | 0.879187i | \(0.658086\pi\) | |||||||
\(810\) | 11.2858 | − | 17.1803i | 0.396542 | − | 0.603655i | ||||
\(811\) | −41.9273 | −1.47227 | −0.736133 | − | 0.676837i | \(-0.763350\pi\) | ||||
−0.736133 | + | 0.676837i | \(0.763350\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 26.5036i | − | 0.929523i | ||||||
\(814\) | −44.1769 | − | 31.8386i | −1.54840 | − | 1.11594i | ||||
\(815\) | 0.296674 | + | 6.85122i | 0.0103920 | + | 0.239988i | ||||
\(816\) | −22.7523 | − | 30.3274i | −0.796489 | − | 1.06167i | ||||
\(817\) | 32.9043 | 1.15117 | ||||||||
\(818\) | −15.1882 | + | 21.0741i | −0.531045 | + | 0.736840i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.32853 | − | 6.09192i | −0.0813159 | − | 0.212739i | ||||
\(821\) | 36.4251 | 1.27125 | 0.635623 | − | 0.771999i | \(-0.280743\pi\) | ||||
0.635623 | + | 0.771999i | \(0.280743\pi\) | |||||||
\(822\) | −25.8397 | − | 18.6228i | −0.901263 | − | 0.649545i | ||||
\(823\) | 39.7814 | 1.38669 | 0.693346 | − | 0.720604i | \(-0.256136\pi\) | ||||
0.693346 | + | 0.720604i | \(0.256136\pi\) | |||||||
\(824\) | −33.7528 | − | 10.5397i | −1.17584 | − | 0.367166i | ||||
\(825\) | −34.6067 | + | 3.00273i | −1.20485 | + | 0.104542i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1.33392 | 0.0463851 | 0.0231925 | − | 0.999731i | \(-0.492617\pi\) | ||||
0.0231925 | + | 0.999731i | \(0.492617\pi\) | |||||||
\(828\) | 0.184916 | + | 0.554618i | 0.00642628 | + | 0.0192743i | ||||
\(829\) | − | 13.4098i | − | 0.465743i | −0.972508 | − | 0.232872i | \(-0.925188\pi\) | ||
0.972508 | − | 0.232872i | \(-0.0748122\pi\) | |||||||
\(830\) | 20.3504 | + | 13.3682i | 0.706372 | + | 0.464018i | ||||
\(831\) | −6.10931 | −0.211930 | ||||||||
\(832\) | 14.4407 | + | 9.99289i | 0.500642 | + | 0.346441i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −1.40272 | + | 1.94632i | −0.0485722 | + | 0.0673954i | ||||
\(835\) | 29.1379 | − | 1.26174i | 1.00836 | − | 0.0436643i | ||||
\(836\) | −33.1747 | + | 11.0608i | −1.14737 | + | 0.382547i | ||||
\(837\) | − | 42.5858i | − | 1.47198i | ||||||
\(838\) | −26.7908 | − | 19.3082i | −0.925471 | − | 0.666992i | ||||
\(839\) | 14.3910 | 0.496834 | 0.248417 | − | 0.968653i | \(-0.420090\pi\) | ||||
0.248417 | + | 0.968653i | \(0.420090\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.7756 | −0.992262 | ||||||||
\(842\) | 41.0274 | + | 29.5687i | 1.41390 | + | 1.01900i | ||||
\(843\) | 17.8386i | 0.614395i | ||||||||
\(844\) | 50.8762 | − | 16.9627i | 1.75123 | − | 0.583881i | ||||
\(845\) | −0.791436 | − | 18.2770i | −0.0272262 | − | 0.628747i | ||||
\(846\) | −2.52173 | + | 3.49897i | −0.0866988 | + | 0.120297i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 22.1780 | + | 29.5620i | 0.761597 | + | 1.01516i | ||||
\(849\) | 26.8169 | 0.920355 | ||||||||
\(850\) | 37.7826 | + | 22.5422i | 1.29593 | + | 0.773190i | ||||
\(851\) | 3.63272i | 0.124528i | ||||||||
\(852\) | −4.41162 | − | 13.2317i | −0.151140 | − | 0.453312i | ||||
\(853\) | −33.2591 | −1.13877 | −0.569385 | − | 0.822071i | \(-0.692819\pi\) | ||||
−0.569385 | + | 0.822071i | \(0.692819\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.251975 | + | 5.81898i | 0.00861738 | + | 0.199005i | ||||
\(856\) | 12.1963 | − | 39.0582i | 0.416862 | − | 1.33498i | ||||
\(857\) | −1.72832 | −0.0590384 | −0.0295192 | − | 0.999564i | \(-0.509398\pi\) | ||||
−0.0295192 | + | 0.999564i | \(0.509398\pi\) | |||||||
\(858\) | −17.4967 | − | 12.6100i | −0.597329 | − | 0.430498i | ||||
\(859\) | 17.5725 | 0.599565 | 0.299783 | − | 0.954008i | \(-0.403086\pi\) | ||||
0.299783 | + | 0.954008i | \(0.403086\pi\) | |||||||
\(860\) | −35.8516 | + | 13.7036i | −1.22253 | + | 0.467290i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −12.0924 | + | 16.7785i | −0.411867 | + | 0.571478i | ||||
\(863\) | −41.6307 | −1.41713 | −0.708563 | − | 0.705648i | \(-0.750656\pi\) | ||||
−0.708563 | + | 0.705648i | \(0.750656\pi\) | |||||||
\(864\) | 0.607309 | + | 31.7010i | 0.0206611 | + | 1.07849i | ||||
\(865\) | 1.06993 | + | 24.7083i | 0.0363786 | + | 0.840108i | ||||
\(866\) | 2.44187 | + | 1.75987i | 0.0829783 | + | 0.0598029i | ||||
\(867\) | − | 33.0773i | − | 1.12337i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 28.2945 | 0.959825 | ||||||||
\(870\) | −1.90726 | − | 1.25289i | −0.0646623 | − | 0.0424768i | ||||
\(871\) | −32.8083 | −1.11167 | ||||||||
\(872\) | −15.4248 | + | 49.3973i | −0.522349 | + | 1.67280i | ||||
\(873\) | −6.15041 | −0.208160 | ||||||||
\(874\) | 1.89259 | + | 1.36400i | 0.0640177 | + | 0.0461379i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 35.4681 | − | 11.8255i | 1.19836 | − | 0.399547i | ||||
\(877\) | − | 44.4208i | − | 1.49998i | −0.661448 | − | 0.749991i | \(-0.730058\pi\) | ||
0.661448 | − | 0.749991i | \(-0.269942\pi\) | |||||||
\(878\) | 28.3119 | + | 20.4045i | 0.955480 | + | 0.688620i | ||||
\(879\) | − | 35.8652i | − | 1.20970i | ||||||
\(880\) | 31.5397 | − | 25.8678i | 1.06320 | − | 0.872004i | ||||
\(881\) | 25.0886i | 0.845257i | 0.906303 | + | 0.422628i | \(0.138892\pi\) | ||||
−0.906303 | + | 0.422628i | \(0.861108\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 7.23066 | 0.243331 | 0.121666 | − | 0.992571i | \(-0.461176\pi\) | ||||
0.121666 | + | 0.992571i | \(0.461176\pi\) | |||||||
\(884\) | 8.64003 | + | 25.9140i | 0.290596 | + | 0.871581i | ||||
\(885\) | −10.6722 | + | 0.462133i | −0.358744 | + | 0.0155344i | ||||
\(886\) | −18.5179 | − | 13.3460i | −0.622121 | − | 0.448366i | ||||
\(887\) | 38.2195i | 1.28328i | 0.767004 | + | 0.641642i | \(0.221747\pi\) | ||||
−0.767004 | + | 0.641642i | \(0.778253\pi\) | |||||||
\(888\) | −10.8433 | + | 34.7251i | −0.363876 | + | 1.16530i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 24.6444 | + | 16.1890i | 0.826082 | + | 0.542655i | ||||
\(891\) | − | 29.6448i | − | 0.993137i | ||||||
\(892\) | −33.4031 | + | 11.1370i | −1.11842 | + | 0.372894i | ||||
\(893\) | 17.2104i | 0.575923i | ||||||||
\(894\) | 8.66371 | − | 12.0212i | 0.289758 | − | 0.402048i | ||||
\(895\) | 49.2479 | − | 2.13255i | 1.64618 | − | 0.0712833i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.43878i | 0.0480394i | ||||||||
\(898\) | −32.7166 | − | 23.5791i | −1.09177 | − | 0.786843i | ||||
\(899\) | −3.59912 | −0.120037 | ||||||||
\(900\) | −2.69798 | − | 6.23526i | −0.0899325 | − | 0.207842i | ||||
\(901\) | 57.4859i | 1.91513i | ||||||||
\(902\) | −7.63038 | − | 5.49925i | −0.254064 | − | 0.183105i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.06671 | + | 0.957611i | 0.101997 | + | 0.0318497i | ||||
\(905\) | 5.58413 | − | 0.241806i | 0.185623 | − | 0.00803790i | ||||
\(906\) | −37.1185 | − | 26.7515i | −1.23318 | − | 0.888760i | ||||
\(907\) | 18.4940 | 0.614085 | 0.307042 | − | 0.951696i | \(-0.400661\pi\) | ||||
0.307042 | + | 0.951696i | \(0.400661\pi\) | |||||||
\(908\) | 16.6802 | − | 5.56137i | 0.553551 | − | 0.184561i | ||||
\(909\) | 5.43380i | 0.180228i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 14.7738i | − | 0.489477i | −0.969589 | − | 0.244739i | \(-0.921298\pi\) | ||
0.969589 | − | 0.244739i | \(-0.0787022\pi\) | |||||||
\(912\) | 14.0198 | + | 18.6875i | 0.464242 | + | 0.618806i | ||||
\(913\) | 35.1148 | 1.16213 | ||||||||
\(914\) | 19.3343 | − | 26.8270i | 0.639523 | − | 0.887357i | ||||
\(915\) | 0.841690 | + | 19.4375i | 0.0278254 | + | 0.642585i | ||||
\(916\) | −32.4135 | + | 10.8071i | −1.07097 | + | 0.357075i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −28.8365 | + | 40.0115i | −0.951746 | + | 1.32058i | ||||
\(919\) | − | 28.1692i | − | 0.929217i | −0.885516 | − | 0.464609i | \(-0.846195\pi\) | ||
0.885516 | − | 0.464609i | \(-0.153805\pi\) | |||||||
\(920\) | −2.63017 | − | 0.697968i | −0.0867142 | − | 0.0230113i | ||||
\(921\) | −16.8152 | −0.554081 | ||||||||
\(922\) | 8.20704 | − | 11.3875i | 0.270285 | − | 0.375028i | ||||
\(923\) | 10.0493i | 0.330778i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.64921 | − | 42.0574i | −0.119985 | − | 1.38284i | ||||
\(926\) | −19.3764 | − | 13.9647i | −0.636749 | − | 0.458909i | ||||
\(927\) | 8.49356i | 0.278965i | ||||||||
\(928\) | 2.67919 | − | 0.0513265i | 0.0879489 | − | 0.00168487i | ||||
\(929\) | 10.6309i | 0.348787i | 0.984676 | + | 0.174394i | \(0.0557965\pi\) | ||||
−0.984676 | + | 0.174394i | \(0.944203\pi\) | |||||||
\(930\) | 30.5907 | + | 20.0951i | 1.00311 | + | 0.658945i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −26.9084 | + | 8.97159i | −0.881414 | + | 0.293874i | ||||
\(933\) | − | 33.0057i | − | 1.08056i | ||||||
\(934\) | 25.4321 | − | 35.2878i | 0.832163 | − | 1.15465i | ||||
\(935\) | 63.3910 | − | 2.74498i | 2.07311 | − | 0.0897704i | ||||
\(936\) | 1.25731 | − | 4.02647i | 0.0410963 | − | 0.131609i | ||||
\(937\) | −58.4711 | −1.91017 | −0.955084 | − | 0.296334i | \(-0.904236\pi\) | ||||
−0.955084 | + | 0.296334i | \(0.904236\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − | 5.82483i | − | 0.190086i | ||||||
\(940\) | −7.16760 | − | 18.7519i | −0.233781 | − | 0.611621i | ||||
\(941\) | − | 44.8301i | − | 1.46142i | −0.682688 | − | 0.730710i | \(-0.739189\pi\) | ||
0.682688 | − | 0.730710i | \(-0.260811\pi\) | |||||||
\(942\) | −2.93163 | + | 4.06773i | −0.0955178 | + | 0.132534i | ||||
\(943\) | 0.627455i | 0.0204328i | ||||||||
\(944\) | 10.0342 | − | 7.52783i | 0.326584 | − | 0.245010i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −32.3636 | + | 44.9055i | −1.05223 | + | 1.46000i | ||||
\(947\) | 14.4192 | 0.468560 | 0.234280 | − | 0.972169i | \(-0.424727\pi\) | ||||
0.234280 | + | 0.972169i | \(0.424727\pi\) | |||||||
\(948\) | −5.97870 | − | 17.9319i | −0.194179 | − | 0.582400i | ||||
\(949\) | −26.9376 | −0.874430 | ||||||||
\(950\) | −23.2813 | − | 13.8903i | −0.755347 | − | 0.450662i | ||||
\(951\) | 13.3124 | 0.431683 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 3.56629i | − | 0.115523i | −0.998330 | − | 0.0577617i | \(-0.981604\pi\) | ||
0.998330 | − | 0.0577617i | \(-0.0183964\pi\) | |||||||
\(954\) | 5.19022 | − | 7.20158i | 0.168039 | − | 0.233160i | ||||
\(955\) | −17.3371 | + | 0.750737i | −0.561016 | + | 0.0242933i | ||||
\(956\) | −25.9428 | + | 8.64962i | −0.839049 | + | 0.279749i | ||||
\(957\) | −3.29100 | −0.106383 | ||||||||
\(958\) | 18.0739 | + | 13.0259i | 0.583941 | + | 0.420849i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −23.0584 | − | 14.5226i | −0.744206 | − | 0.468715i | ||||
\(961\) | 26.7265 | 0.862144 | ||||||||
\(962\) | 15.3249 | − | 21.2637i | 0.494094 | − | 0.685570i | ||||
\(963\) | −9.82861 | −0.316723 | ||||||||
\(964\) | −6.37380 | + | 2.12510i | −0.205286 | + | 0.0684449i | ||||
\(965\) | −13.4868 | + | 0.584011i | −0.434156 | + | 0.0188000i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.8167 | 0.572946 | 0.286473 | − | 0.958088i | \(-0.407517\pi\) | ||||
0.286473 | + | 0.958088i | \(0.407517\pi\) | |||||||
\(968\) | 8.26088 | − | 26.4551i | 0.265515 | − | 0.850301i | ||||
\(969\) | 36.3395i | 1.16739i | ||||||||
\(970\) | 15.7175 | − | 23.9268i | 0.504660 | − | 0.768242i | ||||
\(971\) | 26.4818 | 0.849842 | 0.424921 | − | 0.905231i | \(-0.360302\pi\) | ||||
0.424921 | + | 0.905231i | \(0.360302\pi\) | |||||||
\(972\) | 13.1160 | − | 4.37302i | 0.420694 | − | 0.140265i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −15.4941 | − | 11.1667i | −0.496463 | − | 0.357803i | ||||
\(975\) | −1.44531 | − | 16.6573i | −0.0462869 | − | 0.533460i | ||||
\(976\) | −13.7106 | − | 18.2754i | −0.438864 | − | 0.584980i | ||||
\(977\) | − | 9.22921i | − | 0.295269i | −0.989042 | − | 0.147634i | \(-0.952834\pi\) | ||
0.989042 | − | 0.147634i | \(-0.0471659\pi\) | |||||||
\(978\) | 3.86300 | − | 5.36003i | 0.123525 | − | 0.171395i | ||||
\(979\) | 42.5241 | 1.35908 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 12.4303 | 0.396870 | ||||||||
\(982\) | 3.20052 | − | 4.44081i | 0.102133 | − | 0.141712i | ||||
\(983\) | − | 46.1255i | − | 1.47117i | −0.677430 | − | 0.735587i | \(-0.736906\pi\) | ||
0.677430 | − | 0.735587i | \(-0.263094\pi\) | |||||||
\(984\) | −1.87288 | + | 5.99782i | −0.0597052 | + | 0.191204i | ||||
\(985\) | −21.7694 | + | 0.942664i | −0.693629 | + | 0.0300358i | ||||
\(986\) | 3.38156 | + | 2.43711i | 0.107691 | + | 0.0776133i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.32392 | − | 15.9680i | −0.169376 | − | 0.508009i | ||||
\(989\) | 3.69263 | 0.117419 | ||||||||
\(990\) | −8.18918 | − | 5.37949i | −0.260269 | − | 0.170971i | ||||
\(991\) | 8.81233i | 0.279933i | 0.990156 | + | 0.139966i | \(0.0446995\pi\) | ||||
−0.990156 | + | 0.139966i | \(0.955301\pi\) | |||||||
\(992\) | −42.9717 | + | 0.823228i | −1.36435 | + | 0.0261375i | ||||
\(993\) | 14.7483 | 0.468022 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.66904 | − | 38.5439i | −0.0529122 | − | 1.22193i | ||||
\(996\) | −7.41984 | − | 22.2543i | −0.235107 | − | 0.705154i | ||||
\(997\) | −33.9240 | −1.07438 | −0.537192 | − | 0.843460i | \(-0.680515\pi\) | ||||
−0.537192 | + | 0.843460i | \(0.680515\pi\) | |||||||
\(998\) | −20.1502 | + | 27.9590i | −0.637843 | + | 0.885026i | ||||
\(999\) | 47.3236 | 1.49725 |
(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 | 980.2.c.e.979.35 | yes | 48 | |
4.3 | odd | 2 | inner | 980.2.c.e.979.16 | yes | 48 | |
5.4 | even | 2 | inner | 980.2.c.e.979.14 | yes | 48 | |
7.2 | even | 3 | 980.2.s.g.619.28 | 96 | |||
7.3 | odd | 6 | 980.2.s.g.19.6 | 96 | |||
7.4 | even | 3 | 980.2.s.g.19.5 | 96 | |||
7.5 | odd | 6 | 980.2.s.g.619.27 | 96 | |||
7.6 | odd | 2 | inner | 980.2.c.e.979.36 | yes | 48 | |
20.19 | odd | 2 | inner | 980.2.c.e.979.33 | yes | 48 | |
28.3 | even | 6 | 980.2.s.g.19.21 | 96 | |||
28.11 | odd | 6 | 980.2.s.g.19.22 | 96 | |||
28.19 | even | 6 | 980.2.s.g.619.44 | 96 | |||
28.23 | odd | 6 | 980.2.s.g.619.43 | 96 | |||
28.27 | even | 2 | inner | 980.2.c.e.979.15 | yes | 48 | |
35.4 | even | 6 | 980.2.s.g.19.44 | 96 | |||
35.9 | even | 6 | 980.2.s.g.619.21 | 96 | |||
35.19 | odd | 6 | 980.2.s.g.619.22 | 96 | |||
35.24 | odd | 6 | 980.2.s.g.19.43 | 96 | |||
35.34 | odd | 2 | inner | 980.2.c.e.979.13 | ✓ | 48 | |
140.19 | even | 6 | 980.2.s.g.619.5 | 96 | |||
140.39 | odd | 6 | 980.2.s.g.19.27 | 96 | |||
140.59 | even | 6 | 980.2.s.g.19.28 | 96 | |||
140.79 | odd | 6 | 980.2.s.g.619.6 | 96 | |||
140.139 | even | 2 | inner | 980.2.c.e.979.34 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
980.2.c.e.979.13 | ✓ | 48 | 35.34 | odd | 2 | inner | |
980.2.c.e.979.14 | yes | 48 | 5.4 | even | 2 | inner | |
980.2.c.e.979.15 | yes | 48 | 28.27 | even | 2 | inner | |
980.2.c.e.979.16 | yes | 48 | 4.3 | odd | 2 | inner | |
980.2.c.e.979.33 | yes | 48 | 20.19 | odd | 2 | inner | |
980.2.c.e.979.34 | yes | 48 | 140.139 | even | 2 | inner | |
980.2.c.e.979.35 | yes | 48 | 1.1 | even | 1 | trivial | |
980.2.c.e.979.36 | yes | 48 | 7.6 | odd | 2 | inner | |
980.2.s.g.19.5 | 96 | 7.4 | even | 3 | |||
980.2.s.g.19.6 | 96 | 7.3 | odd | 6 | |||
980.2.s.g.19.21 | 96 | 28.3 | even | 6 | |||
980.2.s.g.19.22 | 96 | 28.11 | odd | 6 | |||
980.2.s.g.19.27 | 96 | 140.39 | odd | 6 | |||
980.2.s.g.19.28 | 96 | 140.59 | even | 6 | |||
980.2.s.g.19.43 | 96 | 35.24 | odd | 6 | |||
980.2.s.g.19.44 | 96 | 35.4 | even | 6 | |||
980.2.s.g.619.5 | 96 | 140.19 | even | 6 | |||
980.2.s.g.619.6 | 96 | 140.79 | odd | 6 | |||
980.2.s.g.619.21 | 96 | 35.9 | even | 6 | |||
980.2.s.g.619.22 | 96 | 35.19 | odd | 6 | |||
980.2.s.g.619.27 | 96 | 7.5 | odd | 6 | |||
980.2.s.g.619.28 | 96 | 7.2 | even | 3 | |||
980.2.s.g.619.43 | 96 | 28.23 | odd | 6 | |||
980.2.s.g.619.44 | 96 | 28.19 | even | 6 |