Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(19,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.l (of order \(10\), degree \(4\), 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: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 50) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 109.1 | ||
Root | \(-0.587785 + 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 450.109 |
Dual form | 450.2.l.b.289.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | + | 0.809017i | −0.415627 | + | 0.572061i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | 1.44575 | − | 1.70582i | 0.646557 | − | 0.762866i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 1.27346i | − | 0.481322i | −0.970609 | − | 0.240661i | \(-0.922636\pi\) | ||
0.970609 | − | 0.240661i | \(-0.0773642\pi\) | |||||||
\(8\) | 0.951057 | + | 0.309017i | 0.336249 | + | 0.109254i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.530249 | + | 2.17229i | 0.167679 | + | 0.686938i | ||||
\(11\) | −3.52874 | − | 2.56378i | −1.06396 | − | 0.773009i | −0.0891391 | − | 0.996019i | \(-0.528412\pi\) |
−0.974816 | + | 0.223011i | \(0.928412\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.51812 | − | 3.46589i | −0.698400 | − | 0.961266i | −0.999969 | − | 0.00782134i | \(-0.997510\pi\) |
0.301569 | − | 0.953444i | \(-0.402490\pi\) | |||||||
\(14\) | 1.03025 | + | 0.748520i | 0.275346 | + | 0.200050i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 0.0930960 | + | 0.0302487i | 0.0225791 | + | 0.00733640i | 0.320285 | − | 0.947321i | \(-0.396221\pi\) |
−0.297706 | + | 0.954658i | \(0.596221\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.103198 | − | 0.317610i | 0.0236752 | − | 0.0728647i | −0.938521 | − | 0.345223i | \(-0.887803\pi\) |
0.962196 | + | 0.272358i | \(0.0878034\pi\) | |||||||
\(20\) | −2.06909 | − | 0.847859i | −0.462663 | − | 0.189587i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.14828 | − | 1.34786i | 0.884417 | − | 0.287364i | ||||
\(23\) | −3.71113 | + | 5.10793i | −0.773824 | + | 1.06508i | 0.222113 | + | 0.975021i | \(0.428705\pi\) |
−0.995937 | + | 0.0900565i | \(0.971295\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.819639 | − | 4.93236i | −0.163928 | − | 0.986472i | ||||
\(26\) | 4.28408 | 0.840177 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.21113 | + | 0.393520i | −0.228882 | + | 0.0743683i | ||||
\(29\) | −1.44575 | − | 4.44955i | −0.268468 | − | 0.826260i | −0.990874 | − | 0.134791i | \(-0.956964\pi\) |
0.722406 | − | 0.691469i | \(-0.243036\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.48459 | − | 7.64677i | 0.446245 | − | 1.37340i | −0.434867 | − | 0.900494i | \(-0.643205\pi\) |
0.881113 | − | 0.472907i | \(-0.156795\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.0791922 | + | 0.0575365i | −0.0135814 | + | 0.00986743i | ||||
\(35\) | −2.17229 | − | 1.84110i | −0.367184 | − | 0.311202i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.41492 | + | 3.32385i | 0.397011 | + | 0.546438i | 0.959991 | − | 0.280032i | \(-0.0903452\pi\) |
−0.562980 | + | 0.826470i | \(0.690345\pi\) | |||||||
\(38\) | 0.196294 | + | 0.270175i | 0.0318431 | + | 0.0438282i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.90211 | − | 1.17557i | 0.300750 | − | 0.185874i | ||||
\(41\) | 9.24846 | − | 6.71940i | 1.44437 | − | 1.04939i | 0.457260 | − | 0.889333i | \(-0.348831\pi\) |
0.987107 | − | 0.160061i | \(-0.0511692\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.2093i | 1.55690i | 0.627704 | + | 0.778452i | \(0.283995\pi\) | ||||
−0.627704 | + | 0.778452i | \(0.716005\pi\) | |||||||
\(44\) | −1.34786 | + | 4.14828i | −0.203197 | + | 0.625377i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.95106 | − | 6.00473i | −0.287668 | − | 0.885350i | ||||
\(47\) | 11.1323 | − | 3.61710i | 1.62381 | − | 0.527608i | 0.650975 | − | 0.759099i | \(-0.274360\pi\) |
0.972837 | + | 0.231491i | \(0.0743603\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.37831 | 0.768329 | ||||||||
\(50\) | 4.47214 | + | 2.23607i | 0.632456 | + | 0.316228i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.51812 | + | 3.46589i | −0.349200 | + | 0.480633i | ||||
\(53\) | 0.841616 | − | 0.273457i | 0.115605 | − | 0.0375623i | −0.250643 | − | 0.968079i | \(-0.580642\pi\) |
0.366248 | + | 0.930517i | \(0.380642\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −9.47501 | + | 2.31282i | −1.27761 | + | 0.311860i | ||||
\(56\) | 0.393520 | − | 1.21113i | 0.0525863 | − | 0.161844i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.44955 | + | 1.44575i | 0.584254 | + | 0.189836i | ||||
\(59\) | −6.15537 | + | 4.47214i | −0.801361 | + | 0.582223i | −0.911313 | − | 0.411714i | \(-0.864930\pi\) |
0.109952 | + | 0.993937i | \(0.464930\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.35645 | + | 0.985520i | 0.173676 | + | 0.126183i | 0.671227 | − | 0.741252i | \(-0.265767\pi\) |
−0.497551 | + | 0.867434i | \(0.665767\pi\) | |||||||
\(62\) | 4.72597 | + | 6.50473i | 0.600198 | + | 0.826102i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | −9.55275 | − | 0.715345i | −1.18487 | − | 0.0887276i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.11179 | + | 0.361243i | 0.135827 | + | 0.0441328i | 0.376142 | − | 0.926562i | \(-0.377251\pi\) |
−0.240315 | + | 0.970695i | \(0.577251\pi\) | |||||||
\(68\) | − | 0.0978870i | − | 0.0118705i | ||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.76632 | − | 0.675249i | 0.330638 | − | 0.0807077i | ||||
\(71\) | 0.728373 | + | 2.24170i | 0.0864419 | + | 0.266041i | 0.984929 | − | 0.172959i | \(-0.0553328\pi\) |
−0.898487 | + | 0.439000i | \(0.855333\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.945424 | + | 1.30127i | −0.110654 | + | 0.152302i | −0.860752 | − | 0.509025i | \(-0.830006\pi\) |
0.750098 | + | 0.661326i | \(0.230006\pi\) | |||||||
\(74\) | −4.10851 | −0.477604 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.333955 | −0.0383073 | ||||||||
\(77\) | −3.26486 | + | 4.49370i | −0.372066 | + | 0.512105i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.51358 | − | 7.73601i | −0.282800 | − | 0.870369i | −0.987049 | − | 0.160417i | \(-0.948716\pi\) |
0.704249 | − | 0.709953i | \(-0.251284\pi\) | |||||||
\(80\) | −0.166977 | + | 2.22982i | −0.0186686 | + | 0.249302i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 11.4317i | 1.26242i | ||||||||
\(83\) | −7.05722 | − | 2.29303i | −0.774630 | − | 0.251693i | −0.105084 | − | 0.994463i | \(-0.533511\pi\) |
−0.669546 | + | 0.742771i | \(0.733511\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.186192 | − | 0.115073i | 0.0201954 | − | 0.0124814i | ||||
\(86\) | −8.25950 | − | 6.00088i | −0.890644 | − | 0.647091i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.56378 | − | 3.52874i | −0.273300 | − | 0.376165i | ||||
\(89\) | −1.38197 | − | 1.00406i | −0.146488 | − | 0.106430i | 0.512127 | − | 0.858910i | \(-0.328858\pi\) |
−0.658615 | + | 0.752480i | \(0.728858\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.41367 | + | 3.20672i | −0.462678 | + | 0.336155i | ||||
\(92\) | 6.00473 | + | 1.95106i | 0.626037 | + | 0.203412i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.61710 | + | 11.1323i | −0.373076 | + | 1.14821i | ||||
\(95\) | −0.392588 | − | 0.635220i | −0.0402786 | − | 0.0651722i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.28402 | − | 2.04180i | 0.638046 | − | 0.207314i | 0.0279099 | − | 0.999610i | \(-0.491115\pi\) |
0.610136 | + | 0.792297i | \(0.291115\pi\) | |||||||
\(98\) | −3.16129 | + | 4.35114i | −0.319338 | + | 0.439532i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.43767 | + | 2.30371i | −0.443767 | + | 0.230371i | ||||
\(101\) | 7.02311 | 0.698825 | 0.349413 | − | 0.936969i | \(-0.386381\pi\) | ||||
0.349413 | + | 0.936969i | \(0.386381\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.1228 | + | 3.93893i | −1.19449 | + | 0.388114i | −0.837732 | − | 0.546082i | \(-0.816119\pi\) |
−0.356760 | + | 0.934196i | \(0.616119\pi\) | |||||||
\(104\) | −1.32385 | − | 4.07440i | −0.129814 | − | 0.399528i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.273457 | + | 0.841616i | −0.0265605 | + | 0.0817449i | ||||
\(107\) | 12.2022i | 1.17963i | 0.807537 | + | 0.589817i | \(0.200800\pi\) | ||||
−0.807537 | + | 0.589817i | \(0.799200\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.08628 | + | 2.96885i | −0.391394 | + | 0.284365i | −0.766027 | − | 0.642809i | \(-0.777769\pi\) |
0.374632 | + | 0.927173i | \(0.377769\pi\) | |||||||
\(110\) | 3.69816 | − | 9.02488i | 0.352606 | − | 0.860489i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.748520 | + | 1.03025i | 0.0707284 | + | 0.0973494i | ||||
\(113\) | 8.24962 | + | 11.3546i | 0.776059 | + | 1.06815i | 0.995706 | + | 0.0925736i | \(0.0295093\pi\) |
−0.219647 | + | 0.975579i | \(0.570491\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.34786 | + | 13.7153i | 0.312189 | + | 1.27896i | ||||
\(116\) | −3.78501 | + | 2.74997i | −0.351429 | + | 0.255328i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 7.60845i | − | 0.700415i | ||||||
\(119\) | 0.0385205 | − | 0.118554i | 0.00353117 | − | 0.0108678i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.47985 | + | 7.63220i | 0.225441 | + | 0.693837i | ||||
\(122\) | −1.59460 | + | 0.518118i | −0.144369 | + | 0.0469082i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −8.04029 | −0.722040 | ||||||||
\(125\) | −9.59871 | − | 5.73279i | −0.858534 | − | 0.512756i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.775266 | − | 1.06706i | 0.0687937 | − | 0.0946864i | −0.773234 | − | 0.634121i | \(-0.781362\pi\) |
0.842027 | + | 0.539435i | \(0.181362\pi\) | |||||||
\(128\) | −0.951057 | + | 0.309017i | −0.0840623 | + | 0.0273135i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.19369 | − | 7.30786i | 0.543222 | − | 0.640942i | ||||
\(131\) | 0.550197 | − | 1.69333i | 0.0480710 | − | 0.147947i | −0.924140 | − | 0.382054i | \(-0.875217\pi\) |
0.972211 | + | 0.234107i | \(0.0752167\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.404463 | − | 0.131418i | −0.0350714 | − | 0.0113954i | ||||
\(134\) | −0.945746 | + | 0.687124i | −0.0817000 | + | 0.0593585i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.0791922 | + | 0.0575365i | 0.00679068 | + | 0.00493372i | ||||
\(137\) | −5.61986 | − | 7.73508i | −0.480137 | − | 0.660852i | 0.498394 | − | 0.866951i | \(-0.333923\pi\) |
−0.978531 | + | 0.206098i | \(0.933923\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.72123 | − | 2.70363i | −0.315631 | − | 0.229319i | 0.418678 | − | 0.908135i | \(-0.362494\pi\) |
−0.734309 | + | 0.678816i | \(0.762494\pi\) | |||||||
\(140\) | −1.07971 | + | 2.63490i | −0.0912523 | + | 0.222690i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.24170 | − | 0.728373i | −0.188119 | − | 0.0611237i | ||||
\(143\) | 18.6861i | 1.56261i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.68031 | − | 3.96673i | −0.803906 | − | 0.329419i | ||||
\(146\) | −0.497039 | − | 1.52973i | −0.0411352 | − | 0.126601i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.41492 | − | 3.32385i | 0.198505 | − | 0.273219i | ||||
\(149\) | 2.03186 | 0.166457 | 0.0832284 | − | 0.996530i | \(-0.473477\pi\) | ||||
0.0832284 | + | 0.996530i | \(0.473477\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 18.9655 | 1.54339 | 0.771696 | − | 0.635992i | \(-0.219409\pi\) | ||||
0.771696 | + | 0.635992i | \(0.219409\pi\) | |||||||
\(152\) | 0.196294 | − | 0.270175i | 0.0159215 | − | 0.0219141i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.71644 | − | 5.28266i | −0.138315 | − | 0.425689i | ||||
\(155\) | −9.45193 | − | 15.2935i | −0.759197 | − | 1.22841i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 14.2430i | − | 1.13672i | −0.822781 | − | 0.568359i | \(-0.807579\pi\) | ||
0.822781 | − | 0.568359i | \(-0.192421\pi\) | |||||||
\(158\) | 7.73601 | + | 2.51358i | 0.615444 | + | 0.199970i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.70582 | − | 1.44575i | −0.134857 | − | 0.114296i | ||||
\(161\) | 6.50473 | + | 4.72597i | 0.512645 | + | 0.372458i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.5880 | + | 15.9495i | 0.907641 | + | 1.24926i | 0.967966 | + | 0.251082i | \(0.0807863\pi\) |
−0.0603249 | + | 0.998179i | \(0.519214\pi\) | |||||||
\(164\) | −9.24846 | − | 6.71940i | −0.722184 | − | 0.524697i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.00323 | − | 4.36160i | 0.465941 | − | 0.338526i | ||||
\(167\) | 5.49885 | + | 1.78668i | 0.425514 | + | 0.138258i | 0.513942 | − | 0.857825i | \(-0.328185\pi\) |
−0.0884287 | + | 0.996083i | \(0.528185\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.65427 | + | 5.09132i | −0.127252 | + | 0.391640i | ||||
\(170\) | −0.0163449 | + | 0.218271i | −0.00125360 | + | 0.0167406i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.70962 | − | 3.15485i | 0.740352 | − | 0.240555i | ||||
\(173\) | 6.18806 | − | 8.51713i | 0.470469 | − | 0.647545i | −0.506169 | − | 0.862434i | \(-0.668939\pi\) |
0.976639 | + | 0.214889i | \(0.0689389\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.28115 | + | 1.04377i | −0.474811 | + | 0.0789020i | ||||
\(176\) | 4.36176 | 0.328780 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.62460 | − | 0.527864i | 0.121769 | − | 0.0395651i | ||||
\(179\) | 3.35558 | + | 10.3274i | 0.250808 | + | 0.771906i | 0.994627 | + | 0.103525i | \(0.0330123\pi\) |
−0.743819 | + | 0.668381i | \(0.766988\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.17848 | + | 9.78234i | −0.236254 | + | 0.727116i | 0.760698 | + | 0.649106i | \(0.224857\pi\) |
−0.996953 | + | 0.0780101i | \(0.975143\pi\) | |||||||
\(182\) | − | 5.45559i | − | 0.404395i | ||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.10793 | + | 3.71113i | −0.376562 | + | 0.273588i | ||||
\(185\) | 9.16125 | + | 0.686028i | 0.673549 | + | 0.0504378i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.250961 | − | 0.345418i | −0.0183521 | − | 0.0252594i | ||||
\(188\) | −6.88014 | − | 9.46969i | −0.501785 | − | 0.690648i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.744661 | + | 0.0557630i | 0.0540234 | + | 0.00404547i | ||||
\(191\) | −7.79944 | + | 5.66662i | −0.564347 | + | 0.410022i | −0.833047 | − | 0.553202i | \(-0.813406\pi\) |
0.268700 | + | 0.963224i | \(0.413406\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.00000i | 0.431889i | 0.976406 | + | 0.215945i | \(0.0692831\pi\) | ||||
−0.976406 | + | 0.215945i | \(0.930717\pi\) | |||||||
\(194\) | −2.04180 | + | 6.28402i | −0.146593 | + | 0.451167i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.66199 | − | 5.11507i | −0.118713 | − | 0.365362i | ||||
\(197\) | 19.7330 | − | 6.41164i | 1.40592 | − | 0.456810i | 0.494818 | − | 0.868997i | \(-0.335235\pi\) |
0.911100 | + | 0.412186i | \(0.135235\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.0629 | 1.35133 | 0.675666 | − | 0.737208i | \(-0.263856\pi\) | ||||
0.675666 | + | 0.737208i | \(0.263856\pi\) | |||||||
\(200\) | 0.744661 | − | 4.94424i | 0.0526555 | − | 0.349610i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.12808 | + | 5.68181i | −0.290451 | + | 0.399771i | ||||
\(203\) | −5.66631 | + | 1.84110i | −0.397697 | + | 0.129220i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.90884 | − | 25.4908i | 0.133319 | − | 1.78035i | ||||
\(206\) | 3.93893 | − | 12.1228i | 0.274438 | − | 0.844633i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.07440 | + | 1.32385i | 0.282509 | + | 0.0917927i | ||||
\(209\) | −1.17844 | + | 0.856187i | −0.0815144 | + | 0.0592237i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.7691 | − | 10.0039i | −0.947906 | − | 0.688694i | 0.00240468 | − | 0.999997i | \(-0.499235\pi\) |
−0.950311 | + | 0.311303i | \(0.899235\pi\) | |||||||
\(212\) | −0.520147 | − | 0.715921i | −0.0357238 | − | 0.0491697i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.87181 | − | 7.17229i | −0.674823 | − | 0.490288i | ||||
\(215\) | 17.4152 | + | 14.7601i | 1.18771 | + | 1.00663i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −9.73784 | − | 3.16402i | −0.661048 | − | 0.214787i | ||||
\(218\) | − | 5.05092i | − | 0.342091i | ||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.12756 | + | 8.29657i | 0.345700 | + | 0.559354i | ||||
\(221\) | −0.129588 | − | 0.398831i | −0.00871703 | − | 0.0268283i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.92595 | − | 4.02723i | 0.195936 | − | 0.269683i | −0.699732 | − | 0.714405i | \(-0.746697\pi\) |
0.895669 | + | 0.444722i | \(0.146697\pi\) | |||||||
\(224\) | −1.27346 | −0.0850865 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.0351 | −0.933600 | ||||||||
\(227\) | −0.603519 | + | 0.830673i | −0.0400570 | + | 0.0551337i | −0.828576 | − | 0.559877i | \(-0.810848\pi\) |
0.788519 | + | 0.615011i | \(0.210848\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.26236 | + | 3.88514i | 0.0834189 | + | 0.256737i | 0.984063 | − | 0.177821i | \(-0.0569047\pi\) |
−0.900644 | + | 0.434558i | \(0.856905\pi\) | |||||||
\(230\) | −13.0637 | − | 5.35317i | −0.861396 | − | 0.352978i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 4.67853i | − | 0.307161i | ||||||
\(233\) | 4.19681 | + | 1.36363i | 0.274942 | + | 0.0893342i | 0.443243 | − | 0.896402i | \(-0.353828\pi\) |
−0.168301 | + | 0.985736i | \(0.553828\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 9.92435 | − | 24.2191i | 0.647393 | − | 1.57988i | ||||
\(236\) | 6.15537 | + | 4.47214i | 0.400680 | + | 0.291111i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.0732703 | + | 0.100848i | 0.00474941 | + | 0.00653700i | ||||
\(239\) | −17.5979 | − | 12.7856i | −1.13831 | − | 0.827032i | −0.151428 | − | 0.988468i | \(-0.548387\pi\) |
−0.986883 | + | 0.161437i | \(0.948387\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 12.8328 | − | 9.32358i | 0.826633 | − | 0.600584i | −0.0919714 | − | 0.995762i | \(-0.529317\pi\) |
0.918605 | + | 0.395177i | \(0.129317\pi\) | |||||||
\(242\) | −7.63220 | − | 2.47985i | −0.490617 | − | 0.159411i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.518118 | − | 1.59460i | 0.0331691 | − | 0.102084i | ||||
\(245\) | 7.77566 | − | 9.17442i | 0.496769 | − | 0.586132i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.36067 | + | 0.442107i | −0.0865771 | + | 0.0281306i | ||||
\(248\) | 4.72597 | − | 6.50473i | 0.300099 | − | 0.413051i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.2799 | − | 4.39587i | 0.650158 | − | 0.278019i | ||||
\(251\) | 8.49087 | 0.535939 | 0.267970 | − | 0.963427i | \(-0.413647\pi\) | ||||
0.267970 | + | 0.963427i | \(0.413647\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 26.1912 | − | 8.51005i | 1.64663 | − | 0.535022i | ||||
\(254\) | 0.407581 | + | 1.25441i | 0.0255739 | + | 0.0787085i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | − | 9.98572i | − | 0.622892i | −0.950264 | − | 0.311446i | \(-0.899187\pi\) | ||
0.950264 | − | 0.311446i | \(-0.100813\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.23279 | − | 3.07530i | 0.263013 | − | 0.191090i | ||||
\(260\) | 2.27163 | + | 9.30625i | 0.140880 | + | 0.577149i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.04654 | + | 1.44043i | 0.0646553 | + | 0.0889904i | ||||
\(263\) | −4.54612 | − | 6.25720i | −0.280326 | − | 0.385836i | 0.645516 | − | 0.763747i | \(-0.276642\pi\) |
−0.925842 | + | 0.377911i | \(0.876642\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.750293 | − | 1.83099i | 0.0460901 | − | 0.112477i | ||||
\(266\) | 0.344057 | − | 0.249972i | 0.0210955 | − | 0.0153268i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | − | 1.16901i | − | 0.0714084i | ||||||
\(269\) | −2.26777 | + | 6.97948i | −0.138268 | + | 0.425546i | −0.996084 | − | 0.0884112i | \(-0.971821\pi\) |
0.857816 | + | 0.513957i | \(0.171821\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.10960 | + | 12.6481i | 0.249641 | + | 0.768315i | 0.994838 | + | 0.101472i | \(0.0323551\pi\) |
−0.745198 | + | 0.666844i | \(0.767645\pi\) | |||||||
\(272\) | −0.0930960 | + | 0.0302487i | −0.00564478 | + | 0.00183410i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9.56108 | 0.577606 | ||||||||
\(275\) | −9.75320 | + | 19.5064i | −0.588140 | + | 1.17628i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.5165 | + | 15.8511i | −0.691959 | + | 0.952399i | 0.308041 | + | 0.951373i | \(0.400327\pi\) |
−0.999999 | + | 0.00102623i | \(0.999673\pi\) | |||||||
\(278\) | 4.37457 | − | 1.42138i | 0.262369 | − | 0.0852489i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.49704 | − | 2.42226i | −0.0894652 | − | 0.144758i | ||||
\(281\) | 3.55571 | − | 10.9433i | 0.212116 | − | 0.652825i | −0.787230 | − | 0.616659i | \(-0.788486\pi\) |
0.999346 | − | 0.0361656i | \(-0.0115144\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −18.6927 | − | 6.07363i | −1.11117 | − | 0.361040i | −0.304776 | − | 0.952424i | \(-0.598582\pi\) |
−0.806390 | + | 0.591384i | \(0.798582\pi\) | |||||||
\(284\) | 1.90690 | − | 1.38545i | 0.113154 | − | 0.0822111i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.1174 | − | 10.9834i | −0.893911 | − | 0.649464i | ||||
\(287\) | −8.55687 | − | 11.7775i | −0.505096 | − | 0.695205i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.7455 | − | 9.98672i | −0.808561 | − | 0.587454i | ||||
\(290\) | 8.89910 | − | 5.49994i | 0.522573 | − | 0.322968i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.52973 | + | 0.497039i | 0.0895206 | + | 0.0290870i | ||||
\(293\) | − | 6.12203i | − | 0.357653i | −0.983881 | − | 0.178827i | \(-0.942770\pi\) | ||
0.983881 | − | 0.178827i | \(-0.0572301\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.27044 | + | 16.9655i | −0.0739679 | + | 0.987770i | ||||
\(296\) | 1.26960 | + | 3.90742i | 0.0737939 | + | 0.227114i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.19430 | + | 1.64381i | −0.0691839 | + | 0.0952235i | ||||
\(299\) | 27.0486 | 1.56426 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.0011 | 0.749371 | ||||||||
\(302\) | −11.1477 | + | 15.3434i | −0.641475 | + | 0.882915i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.103198 | + | 0.317610i | 0.00591880 | + | 0.0182162i | ||||
\(305\) | 3.64220 | − | 0.889050i | 0.208552 | − | 0.0509069i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 14.1935i | − | 0.810064i | −0.914302 | − | 0.405032i | \(-0.867260\pi\) | ||
0.914302 | − | 0.405032i | \(-0.132740\pi\) | |||||||
\(308\) | 5.28266 | + | 1.71644i | 0.301008 | + | 0.0978033i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 17.9284 | + | 1.34255i | 1.01827 | + | 0.0762516i | ||||
\(311\) | 5.81375 | + | 4.22394i | 0.329668 | + | 0.239518i | 0.740290 | − | 0.672288i | \(-0.234688\pi\) |
−0.410622 | + | 0.911806i | \(0.634688\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.367741 | − | 0.506152i | −0.0207859 | − | 0.0286094i | 0.798498 | − | 0.601998i | \(-0.205629\pi\) |
−0.819283 | + | 0.573389i | \(0.805629\pi\) | |||||||
\(314\) | 11.5229 | + | 8.37184i | 0.650272 | + | 0.472450i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.58064 | + | 4.78112i | −0.370190 | + | 0.268959i | ||||
\(317\) | −6.85717 | − | 2.22803i | −0.385137 | − | 0.125139i | 0.110048 | − | 0.993926i | \(-0.464900\pi\) |
−0.495185 | + | 0.868788i | \(0.664900\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.30600 | + | 19.4079i | −0.353068 | + | 1.08663i | ||||
\(320\) | 2.17229 | − | 0.530249i | 0.121435 | − | 0.0296418i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −7.64677 | + | 2.48459i | −0.426138 | + | 0.138461i | ||||
\(323\) | 0.0192146 | − | 0.0264466i | 0.00106913 | − | 0.00147153i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0311 | + | 15.2611i | −0.833775 | + | 0.846531i | ||||
\(326\) | −19.7147 | −1.09189 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.8722 | − | 3.53260i | 0.600318 | − | 0.195055i | ||||
\(329\) | −4.60623 | − | 14.1765i | −0.253949 | − | 0.781576i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.48266 | + | 23.0292i | −0.411284 | + | 1.26580i | 0.504249 | + | 0.863558i | \(0.331769\pi\) |
−0.915533 | + | 0.402244i | \(0.868231\pi\) | |||||||
\(332\) | 7.42040i | 0.407247i | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.67760 | + | 3.39847i | −0.255947 | + | 0.185956i | ||||
\(335\) | 2.22358 | − | 1.37425i | 0.121487 | − | 0.0750832i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −13.0498 | − | 17.9615i | −0.710866 | − | 0.978423i | −0.999778 | − | 0.0210674i | \(-0.993294\pi\) |
0.288912 | − | 0.957356i | \(-0.406706\pi\) | |||||||
\(338\) | −3.14661 | − | 4.33094i | −0.171153 | − | 0.235572i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.166977 | − | 0.141520i | −0.00905562 | − | 0.00767498i | ||||
\(341\) | −28.3721 | + | 20.6135i | −1.53644 | + | 1.11629i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 15.7632i | − | 0.851135i | ||||||
\(344\) | −3.15485 | + | 9.70962i | −0.170098 | + | 0.523508i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.25325 | + | 10.0125i | 0.174896 | + | 0.538275i | ||||
\(347\) | −23.9270 | + | 7.77436i | −1.28447 | + | 0.417349i | −0.870152 | − | 0.492783i | \(-0.835979\pi\) |
−0.414317 | + | 0.910133i | \(0.635979\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 25.4708 | 1.36342 | 0.681710 | − | 0.731622i | \(-0.261236\pi\) | ||||
0.681710 | + | 0.731622i | \(0.261236\pi\) | |||||||
\(350\) | 2.84754 | − | 5.69507i | 0.152207 | − | 0.304415i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.56378 | + | 3.52874i | −0.136650 | + | 0.188082i | ||||
\(353\) | −27.5059 | + | 8.93720i | −1.46399 | + | 0.475679i | −0.929286 | − | 0.369361i | \(-0.879577\pi\) |
−0.534703 | + | 0.845040i | \(0.679577\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.87698 | + | 1.99846i | 0.258843 | + | 0.106067i | ||||
\(356\) | −0.527864 | + | 1.62460i | −0.0279767 | + | 0.0861035i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.3274 | − | 3.35558i | −0.545820 | − | 0.177348i | ||||
\(359\) | 6.82792 | − | 4.96077i | 0.360364 | − | 0.261820i | −0.392840 | − | 0.919607i | \(-0.628507\pi\) |
0.753204 | + | 0.657787i | \(0.228507\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.2811 | + | 11.1024i | 0.804268 | + | 0.584335i | ||||
\(362\) | −6.04582 | − | 8.32136i | −0.317761 | − | 0.437361i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.41367 | + | 3.20672i | 0.231339 | + | 0.168078i | ||||
\(365\) | 0.852880 | + | 3.49402i | 0.0446418 | + | 0.182885i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.85041 | − | 0.926153i | −0.148790 | − | 0.0483448i | 0.233675 | − | 0.972315i | \(-0.424925\pi\) |
−0.382465 | + | 0.923970i | \(0.624925\pi\) | |||||||
\(368\) | − | 6.31375i | − | 0.329127i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.93986 | + | 7.00837i | −0.308799 | + | 0.364348i | ||||
\(371\) | −0.348236 | − | 1.07176i | −0.0180795 | − | 0.0556431i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −10.3080 | + | 14.1877i | −0.533728 | + | 0.734613i | −0.987693 | − | 0.156406i | \(-0.950009\pi\) |
0.453965 | + | 0.891019i | \(0.350009\pi\) | |||||||
\(374\) | 0.426960 | 0.0220776 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.7052 | 0.603649 | ||||||||
\(377\) | −11.7811 | + | 16.2153i | −0.606757 | + | 0.835130i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.82469 | − | 30.2373i | −0.504661 | − | 1.55319i | −0.801340 | − | 0.598209i | \(-0.795879\pi\) |
0.296680 | − | 0.954977i | \(-0.404121\pi\) | |||||||
\(380\) | −0.482814 | + | 0.569667i | −0.0247678 | + | 0.0292233i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | − | 9.64063i | − | 0.493258i | ||||||
\(383\) | 18.6755 | + | 6.06804i | 0.954273 | + | 0.310062i | 0.744451 | − | 0.667677i | \(-0.232711\pi\) |
0.209822 | + | 0.977740i | \(0.432711\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.94528 | + | 12.0660i | 0.150105 | + | 0.614941i | ||||
\(386\) | −4.85410 | − | 3.52671i | −0.247067 | − | 0.179505i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.88374 | − | 5.34551i | −0.197167 | − | 0.271377i | ||||
\(389\) | 23.8930 | + | 17.3593i | 1.21142 | + | 0.880150i | 0.995359 | − | 0.0962298i | \(-0.0306784\pi\) |
0.216063 | + | 0.976379i | \(0.430678\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.500000 | + | 0.363271i | −0.0252861 | + | 0.0183714i | ||||
\(392\) | 5.11507 | + | 1.66199i | 0.258350 | + | 0.0839431i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.41164 | + | 19.7330i | −0.323014 | + | 0.994134i | ||||
\(395\) | −16.8302 | − | 6.89659i | −0.846821 | − | 0.347005i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.1823 | − | 6.88254i | 1.06311 | − | 0.345425i | 0.275308 | − | 0.961356i | \(-0.411220\pi\) |
0.787800 | + | 0.615931i | \(0.211220\pi\) | |||||||
\(398\) | −11.2049 | + | 15.4222i | −0.561650 | + | 0.773045i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.56227 | + | 3.50859i | 0.178114 | + | 0.175430i | ||||
\(401\) | −7.37458 | −0.368269 | −0.184134 | − | 0.982901i | \(-0.558948\pi\) | ||||
−0.184134 | + | 0.982901i | \(0.558948\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −32.7594 | + | 10.6442i | −1.63186 | + | 0.530224i | ||||
\(404\) | −2.17026 | − | 6.67937i | −0.107974 | − | 0.332311i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.84110 | − | 5.66631i | 0.0913720 | − | 0.281214i | ||||
\(407\) | − | 17.9203i | − | 0.888278i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.9117 | + | 10.8340i | −0.737335 | + | 0.535705i | −0.891875 | − | 0.452281i | \(-0.850610\pi\) |
0.154541 | + | 0.987986i | \(0.450610\pi\) | |||||||
\(410\) | 19.5005 | + | 16.5274i | 0.963059 | + | 0.816229i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.49228 | + | 10.3122i | 0.369118 | + | 0.508048i | ||||
\(413\) | 5.69507 | + | 7.83860i | 0.280236 | + | 0.385712i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.1144 | + | 8.72320i | −0.692850 | + | 0.428205i | ||||
\(416\) | −3.46589 | + | 2.51812i | −0.169929 | + | 0.123461i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 1.45663i | − | 0.0712462i | ||||||
\(419\) | 3.58315 | − | 11.0278i | 0.175048 | − | 0.538744i | −0.824587 | − | 0.565735i | \(-0.808593\pi\) |
0.999636 | + | 0.0269911i | \(0.00859259\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.902012 | − | 2.77611i | −0.0439614 | − | 0.135299i | 0.926667 | − | 0.375884i | \(-0.122661\pi\) |
−0.970628 | + | 0.240585i | \(0.922661\pi\) | |||||||
\(422\) | 16.1866 | − | 5.25934i | 0.787951 | − | 0.256021i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.884927 | 0.0429759 | ||||||||
\(425\) | 0.0728926 | − | 0.483976i | 0.00353581 | − | 0.0234763i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.25502 | − | 1.72738i | 0.0607346 | − | 0.0835940i | ||||
\(428\) | 11.6050 | − | 3.77070i | 0.560949 | − | 0.182263i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −22.1775 | + | 5.41347i | −1.06950 | + | 0.261061i | ||||
\(431\) | −2.34092 | + | 7.20460i | −0.112758 | + | 0.347033i | −0.991473 | − | 0.130314i | \(-0.958402\pi\) |
0.878715 | + | 0.477347i | \(0.158402\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 27.3735 | + | 8.89418i | 1.31548 | + | 0.427427i | 0.880942 | − | 0.473224i | \(-0.156910\pi\) |
0.434543 | + | 0.900651i | \(0.356910\pi\) | |||||||
\(434\) | 8.28350 | − | 6.01832i | 0.397621 | − | 0.288888i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.08628 | + | 2.96885i | 0.195697 | + | 0.142182i | ||||
\(437\) | 1.23935 | + | 1.70582i | 0.0592862 | + | 0.0816004i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.3588 | + | 10.4323i | 0.685310 | + | 0.497907i | 0.875115 | − | 0.483915i | \(-0.160786\pi\) |
−0.189805 | + | 0.981822i | \(0.560786\pi\) | |||||||
\(440\) | −9.72597 | − | 0.728316i | −0.463667 | − | 0.0347211i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.398831 | + | 0.129588i | 0.0189704 | + | 0.00616387i | ||||
\(443\) | − | 19.3439i | − | 0.919058i | −0.888163 | − | 0.459529i | \(-0.848018\pi\) | ||
0.888163 | − | 0.459529i | \(-0.151982\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.71071 | + | 0.905773i | −0.175905 | + | 0.0429378i | ||||
\(446\) | 1.53827 | + | 4.73429i | 0.0728390 | + | 0.224175i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.748520 | − | 1.03025i | 0.0353642 | − | 0.0486747i | ||||
\(449\) | 11.2932 | 0.532960 | 0.266480 | − | 0.963840i | \(-0.414139\pi\) | ||||
0.266480 | + | 0.963840i | \(0.414139\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −49.8625 | −2.34793 | ||||||||
\(452\) | 8.24962 | − | 11.3546i | 0.388029 | − | 0.534076i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.317289 | − | 0.976514i | −0.0148911 | − | 0.0458301i | ||||
\(455\) | −0.910961 | + | 12.1650i | −0.0427065 | + | 0.570305i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.60741i | 0.121970i | 0.998139 | + | 0.0609848i | \(0.0194241\pi\) | ||||
−0.998139 | + | 0.0609848i | \(0.980576\pi\) | |||||||
\(458\) | −3.88514 | − | 1.26236i | −0.181540 | − | 0.0589861i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 12.0095 | − | 7.42226i | 0.559944 | − | 0.346065i | ||||
\(461\) | −1.58366 | − | 1.15060i | −0.0737585 | − | 0.0535887i | 0.550295 | − | 0.834970i | \(-0.314515\pi\) |
−0.624053 | + | 0.781382i | \(0.714515\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.856972 | − | 1.17952i | −0.0398269 | − | 0.0548170i | 0.788639 | − | 0.614856i | \(-0.210786\pi\) |
−0.828466 | + | 0.560039i | \(0.810786\pi\) | |||||||
\(464\) | 3.78501 | + | 2.74997i | 0.175715 | + | 0.127664i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.57002 | + | 2.59377i | −0.165378 | + | 0.120154i | ||||
\(467\) | −24.3331 | − | 7.90629i | −1.12600 | − | 0.365860i | −0.313945 | − | 0.949441i | \(-0.601651\pi\) |
−0.812055 | + | 0.583581i | \(0.801651\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.460027 | − | 1.41582i | 0.0212421 | − | 0.0653764i | ||||
\(470\) | 13.7603 | + | 22.2646i | 0.634714 | + | 1.02699i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.23607 | + | 2.35114i | −0.333067 | + | 0.108220i | ||||
\(473\) | 26.1744 | − | 36.0260i | 1.20350 | − | 1.65648i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.65115 | − | 0.248683i | −0.0757601 | − | 0.0114104i | ||||
\(476\) | −0.124655 | −0.00571355 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 20.6875 | − | 6.72179i | 0.946226 | − | 0.307447i | ||||
\(479\) | −2.12209 | − | 6.53112i | −0.0969608 | − | 0.298415i | 0.890799 | − | 0.454398i | \(-0.150145\pi\) |
−0.987760 | + | 0.155983i | \(0.950145\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.43906 | − | 16.7397i | 0.248000 | − | 0.763265i | ||||
\(482\) | 15.8622i | 0.722504i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.49234 | − | 4.71696i | 0.295106 | − | 0.214407i | ||||
\(485\) | 5.60215 | − | 13.6713i | 0.254381 | − | 0.620783i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 24.8770 | + | 34.2403i | 1.12728 | + | 1.55157i | 0.793126 | + | 0.609058i | \(0.208452\pi\) |
0.334159 | + | 0.942517i | \(0.391548\pi\) | |||||||
\(488\) | 0.985520 | + | 1.35645i | 0.0446124 | + | 0.0614037i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.85184 | + | 11.6832i | 0.128833 | + | 0.527795i | ||||
\(491\) | 10.4767 | − | 7.61178i | 0.472808 | − | 0.343515i | −0.325727 | − | 0.945464i | \(-0.605609\pi\) |
0.798535 | + | 0.601949i | \(0.205609\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 0.457967i | − | 0.0206258i | ||||||
\(494\) | 0.442107 | − | 1.36067i | 0.0198913 | − | 0.0612193i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.48459 | + | 7.64677i | 0.111561 | + | 0.343350i | ||||
\(497\) | 2.85471 | − | 0.927551i | 0.128051 | − | 0.0416064i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.9767 | 0.580915 | 0.290458 | − | 0.956888i | \(-0.406192\pi\) | ||||
0.290458 | + | 0.956888i | \(0.406192\pi\) | |||||||
\(500\) | −2.48604 | + | 10.9004i | −0.111179 | + | 0.487483i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4.99081 | + | 6.86926i | −0.222751 | + | 0.306590i | ||||
\(503\) | 20.2024 | − | 6.56414i | 0.900778 | − | 0.292681i | 0.178220 | − | 0.983991i | \(-0.442966\pi\) |
0.722558 | + | 0.691310i | \(0.242966\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.1536 | − | 11.9802i | 0.451831 | − | 0.533110i | ||||
\(506\) | −8.51005 | + | 26.1912i | −0.378318 | + | 1.16434i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.25441 | − | 0.407581i | −0.0556553 | − | 0.0180835i | ||||
\(509\) | −11.5303 | + | 8.37728i | −0.511073 | + | 0.371317i | −0.813231 | − | 0.581942i | \(-0.802293\pi\) |
0.302157 | + | 0.953258i | \(0.402293\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.65711 | + | 1.20396i | 0.0733060 | + | 0.0532600i | ||||
\(512\) | 0.587785 | + | 0.809017i | 0.0259767 | + | 0.0357538i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 8.07862 | + | 5.86946i | 0.356332 | + | 0.258891i | ||||
\(515\) | −10.8073 | + | 26.3739i | −0.476229 | + | 1.16217i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −48.5564 | − | 15.7769i | −2.13551 | − | 0.693869i | ||||
\(518\) | 5.23201i | 0.229881i | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.86415 | − | 3.63229i | −0.388719 | − | 0.159287i | ||||
\(521\) | 9.07543 | + | 27.9313i | 0.397602 | + | 1.22369i | 0.926917 | + | 0.375268i | \(0.122449\pi\) |
−0.529315 | + | 0.848426i | \(0.677551\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.95773 | − | 12.3293i | 0.391694 | − | 0.539121i | −0.566941 | − | 0.823758i | \(-0.691873\pi\) |
0.958635 | + | 0.284638i | \(0.0918733\pi\) | |||||||
\(524\) | −1.78048 | −0.0777804 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.73433 | 0.337233 | ||||||||
\(527\) | 0.462611 | − | 0.636729i | 0.0201516 | − | 0.0277363i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.21110 | − | 16.0381i | −0.226569 | − | 0.697309i | ||||
\(530\) | 1.04029 | + | 1.68323i | 0.0451875 | + | 0.0731149i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.425277i | 0.0184381i | ||||||||
\(533\) | −46.5775 | − | 15.1339i | −2.01749 | − | 0.655523i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 20.8148 | + | 17.6413i | 0.899902 | + | 0.762701i | ||||
\(536\) | 0.945746 | + | 0.687124i | 0.0408500 | + | 0.0296793i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.31355 | − | 5.93710i | −0.185970 | − | 0.255966i | ||||
\(539\) | −18.9786 | − | 13.7888i | −0.817468 | − | 0.593925i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.5392 | + | 17.8288i | −1.05502 | + | 0.766520i | −0.973161 | − | 0.230123i | \(-0.926087\pi\) |
−0.0818632 | + | 0.996644i | \(0.526087\pi\) | |||||||
\(542\) | −12.6481 | − | 4.10960i | −0.543281 | − | 0.176523i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.0302487 | − | 0.0930960i | 0.00129690 | − | 0.00399146i | ||||
\(545\) | −0.843389 | + | 11.2627i | −0.0361268 | + | 0.482439i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 29.5288 | − | 9.59449i | 1.26256 | − | 0.410231i | 0.400155 | − | 0.916448i | \(-0.368956\pi\) |
0.862406 | + | 0.506217i | \(0.168956\pi\) | |||||||
\(548\) | −5.61986 | + | 7.73508i | −0.240069 | + | 0.330426i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.0482 | − | 19.3561i | −0.428458 | − | 0.825346i | ||||
\(551\) | −1.56242 | −0.0665613 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.85148 | + | 3.20094i | −0.418928 | + | 0.136118i | ||||
\(554\) | −6.05458 | − | 18.6341i | −0.257234 | − | 0.791686i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.42138 | + | 4.37457i | −0.0602801 | + | 0.185523i | ||||
\(557\) | − | 28.0537i | − | 1.18867i | −0.804216 | − | 0.594337i | \(-0.797415\pi\) | ||
0.804216 | − | 0.594337i | \(-0.202585\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 35.3843 | − | 25.7082i | 1.49660 | − | 1.08734i | ||||
\(560\) | 2.83959 | + | 0.212639i | 0.119994 | + | 0.00898563i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.76336 | + | 9.30896i | 0.285295 | + | 0.392675i | ||||
\(563\) | −13.6142 | − | 18.7384i | −0.573772 | − | 0.789729i | 0.419223 | − | 0.907883i | \(-0.362302\pi\) |
−0.992995 | + | 0.118154i | \(0.962302\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 31.2958 | + | 2.34354i | 1.31662 | + | 0.0985936i | ||||
\(566\) | 15.9010 | − | 11.5527i | 0.668367 | − | 0.485597i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.35706i | 0.0989002i | ||||||||
\(569\) | −4.16602 | + | 12.8217i | −0.174649 | + | 0.537514i | −0.999617 | − | 0.0276651i | \(-0.991193\pi\) |
0.824968 | + | 0.565179i | \(0.191193\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12.0389 | − | 37.0519i | −0.503813 | − | 1.55058i | −0.802758 | − | 0.596305i | \(-0.796635\pi\) |
0.298945 | − | 0.954270i | \(-0.403365\pi\) | |||||||
\(572\) | 17.7716 | − | 5.77433i | 0.743067 | − | 0.241437i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 14.5578 | 0.607632 | ||||||||
\(575\) | 28.2360 | + | 14.1180i | 1.17752 | + | 0.588760i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −26.1132 | + | 35.9417i | −1.08711 | + | 1.49627i | −0.235657 | + | 0.971836i | \(0.575724\pi\) |
−0.851449 | + | 0.524437i | \(0.824276\pi\) | |||||||
\(578\) | 16.1588 | − | 5.25033i | 0.672119 | − | 0.218385i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.781209 | + | 10.4323i | −0.0324380 | + | 0.433178i | ||||
\(581\) | −2.92007 | + | 8.98706i | −0.121145 | + | 0.372846i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.67093 | − | 1.19276i | −0.152034 | − | 0.0493989i | ||||
\(584\) | −1.30127 | + | 0.945424i | −0.0538467 | + | 0.0391219i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.95283 | + | 3.59844i | 0.204600 | + | 0.148650i | ||||
\(587\) | 23.0686 | + | 31.7512i | 0.952144 | + | 1.31051i | 0.950569 | + | 0.310514i | \(0.100501\pi\) |
0.00157480 | + | 0.999999i | \(0.499499\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.17229 | − | 1.57826i | −0.0895076 | − | 0.0650311i | ||||
\(590\) | −12.9786 | − | 10.9999i | −0.534322 | − | 0.452858i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.90742 | − | 1.26960i | −0.160594 | − | 0.0521802i | ||||
\(593\) | − | 23.5637i | − | 0.967644i | −0.875167 | − | 0.483822i | \(-0.839248\pi\) | ||
0.875167 | − | 0.483822i | \(-0.160752\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.146541 | − | 0.237108i | −0.00600758 | − | 0.00972047i | ||||
\(596\) | −0.627881 | − | 1.93242i | −0.0257190 | − | 0.0791549i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −15.8988 | + | 21.8828i | −0.650149 | + | 0.894854i | ||||
\(599\) | 39.2513 | 1.60376 | 0.801882 | − | 0.597483i | \(-0.203832\pi\) | ||||
0.801882 | + | 0.597483i | \(0.203832\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.1067 | −0.534635 | −0.267317 | − | 0.963609i | \(-0.586137\pi\) | ||||
−0.267317 | + | 0.963609i | \(0.586137\pi\) | |||||||
\(602\) | −7.64186 | + | 10.5181i | −0.311459 | + | 0.428687i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.86067 | − | 18.0373i | −0.238467 | − | 0.733926i | ||||
\(605\) | 16.6044 | + | 6.80404i | 0.675065 | + | 0.276624i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 6.14712i | − | 0.249504i | −0.992188 | − | 0.124752i | \(-0.960186\pi\) | ||
0.992188 | − | 0.124752i | \(-0.0398135\pi\) | |||||||
\(608\) | −0.317610 | − | 0.103198i | −0.0128808 | − | 0.00418522i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.42158 | + | 3.46917i | −0.0575579 | + | 0.140463i | ||||
\(611\) | −40.5689 | − | 29.4750i | −1.64124 | − | 1.19243i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13.0198 | − | 17.9202i | −0.525865 | − | 0.723790i | 0.460629 | − | 0.887593i | \(-0.347624\pi\) |
−0.986493 | + | 0.163803i | \(0.947624\pi\) | |||||||
\(614\) | 11.4828 | + | 8.34271i | 0.463406 | + | 0.336684i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.49370 | + | 3.26486i | −0.181056 | + | 0.131545i | ||||
\(617\) | −11.5313 | − | 3.74675i | −0.464233 | − | 0.150838i | 0.0675559 | − | 0.997715i | \(-0.478480\pi\) |
−0.531789 | + | 0.846877i | \(0.678480\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.06963 | + | 12.5250i | −0.163572 | + | 0.503424i | −0.998928 | − | 0.0462856i | \(-0.985262\pi\) |
0.835356 | + | 0.549709i | \(0.185262\pi\) | |||||||
\(620\) | −11.6242 | + | 13.7153i | −0.466840 | + | 0.550819i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.83447 | + | 2.22066i | −0.274037 | + | 0.0890402i | ||||
\(623\) | −1.27862 | + | 1.75987i | −0.0512270 | + | 0.0705079i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.6564 | + | 8.08551i | −0.946255 | + | 0.323420i | ||||
\(626\) | 0.625638 | 0.0250055 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −13.5459 | + | 4.40134i | −0.540541 | + | 0.175633i | ||||
\(629\) | 0.124277 | + | 0.382486i | 0.00495526 | + | 0.0152507i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.0018 | − | 30.7824i | 0.398165 | − | 1.22543i | −0.528304 | − | 0.849055i | \(-0.677172\pi\) |
0.926469 | − | 0.376371i | \(-0.122828\pi\) | |||||||
\(632\) | − | 8.13412i | − | 0.323558i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 5.83306 | − | 4.23796i | 0.231660 | − | 0.168311i | ||||
\(635\) | −0.699377 | − | 2.86516i | −0.0277539 | − | 0.113701i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −13.5432 | − | 18.6406i | −0.536602 | − | 0.738569i | ||||
\(638\) | −11.9947 | − | 16.5093i | −0.474876 | − | 0.653610i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.847859 | + | 2.06909i | −0.0335146 | + | 0.0817880i | ||||
\(641\) | −11.5106 | + | 8.36292i | −0.454640 | + | 0.330315i | −0.791425 | − | 0.611266i | \(-0.790660\pi\) |
0.336785 | + | 0.941582i | \(0.390660\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 18.7825i | − | 0.740708i | −0.928891 | − | 0.370354i | \(-0.879236\pi\) | ||
0.928891 | − | 0.370354i | \(-0.120764\pi\) | |||||||
\(644\) | 2.48459 | − | 7.64677i | 0.0979065 | − | 0.301325i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.0101017 | + | 0.0310899i | 0.000397447 | + | 0.00122322i | ||||
\(647\) | 14.3035 | − | 4.64749i | 0.562328 | − | 0.182712i | −0.0140402 | − | 0.999901i | \(-0.504469\pi\) |
0.576369 | + | 0.817190i | \(0.304469\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 33.1863 | 1.30267 | ||||||||
\(650\) | −3.51140 | − | 21.1306i | −0.137728 | − | 0.828811i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 11.5880 | − | 15.9495i | 0.453820 | − | 0.624630i | ||||
\(653\) | 22.5809 | − | 7.33698i | 0.883659 | − | 0.287118i | 0.168183 | − | 0.985756i | \(-0.446210\pi\) |
0.715476 | + | 0.698637i | \(0.246210\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.09307 | − | 3.38667i | −0.0817832 | − | 0.132328i | ||||
\(656\) | −3.53260 | + | 10.8722i | −0.137925 | + | 0.424489i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 14.1765 | + | 4.60623i | 0.552658 | + | 0.179569i | ||||
\(659\) | 5.30922 | − | 3.85737i | 0.206818 | − | 0.150262i | −0.479555 | − | 0.877512i | \(-0.659202\pi\) |
0.686373 | + | 0.727250i | \(0.259202\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 25.9148 | + | 18.8282i | 1.00797 | + | 0.732331i | 0.963782 | − | 0.266692i | \(-0.0859308\pi\) |
0.0441853 | + | 0.999023i | \(0.485931\pi\) | |||||||
\(662\) | −14.2329 | − | 19.5898i | −0.553176 | − | 0.761381i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.00323 | − | 4.36160i | −0.232970 | − | 0.169263i | ||||
\(665\) | −0.808926 | + | 0.499944i | −0.0313688 | + | 0.0193870i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 28.0933 | + | 9.12808i | 1.08778 | + | 0.353441i | ||||
\(668\) | − | 5.78183i | − | 0.223706i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.195198 | + | 2.60668i | −0.00754114 | + | 0.100705i | ||||
\(671\) | −2.25991 | − | 6.95529i | −0.0872429 | − | 0.268506i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 29.2455 | − | 40.2530i | 1.12733 | − | 1.55164i | 0.334294 | − | 0.942469i | \(-0.391502\pi\) |
0.793039 | − | 0.609171i | \(-0.208498\pi\) | |||||||
\(674\) | 22.2016 | 0.855173 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.35333 | 0.205897 | ||||||||
\(677\) | −16.8590 | + | 23.2044i | −0.647943 | + | 0.891818i | −0.999008 | − | 0.0445337i | \(-0.985820\pi\) |
0.351064 | + | 0.936351i | \(0.385820\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.60015 | − | 8.00244i | −0.0997846 | − | 0.307105i | ||||
\(680\) | 0.212639 | − | 0.0519044i | 0.00815432 | − | 0.00199044i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | − | 35.0699i | − | 1.34289i | ||||||
\(683\) | −33.3619 | − | 10.8399i | −1.27656 | − | 0.414779i | −0.409192 | − | 0.912449i | \(-0.634189\pi\) |
−0.867367 | + | 0.497670i | \(0.834189\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −21.3195 | − | 1.59649i | −0.814578 | − | 0.0609986i | ||||
\(686\) | 12.7527 | + | 9.26540i | 0.486902 | + | 0.353755i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.00088 | − | 8.25950i | −0.228781 | − | 0.314890i | ||||
\(689\) | −3.06706 | − | 2.22835i | −0.116846 | − | 0.0848934i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.37666 | − | 1.00020i | 0.0523704 | − | 0.0380493i | −0.561292 | − | 0.827618i | \(-0.689696\pi\) |
0.613663 | + | 0.789568i | \(0.289696\pi\) | |||||||
\(692\) | −10.0125 | − | 3.25325i | −0.380618 | − | 0.123670i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 7.77436 | − | 23.9270i | 0.295110 | − | 0.908257i | ||||
\(695\) | −9.99186 | + | 2.43898i | −0.379013 | + | 0.0925159i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.06425 | − | 0.345795i | 0.0403113 | − | 0.0130979i | ||||
\(698\) | −14.9714 | + | 20.6063i | −0.566674 | + | 0.779960i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.93367 | + | 5.65119i | 0.110882 | + | 0.213595i | ||||
\(701\) | 5.26104 | 0.198707 | 0.0993534 | − | 0.995052i | \(-0.468323\pi\) | ||||
0.0993534 | + | 0.995052i | \(0.468323\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.30490 | − | 0.423989i | 0.0492154 | − | 0.0159910i | ||||
\(704\) | −1.34786 | − | 4.14828i | −0.0507993 | − | 0.156344i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 8.93720 | − | 27.5059i | 0.336356 | − | 1.03520i | ||||
\(707\) | − | 8.94363i | − | 0.336360i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −35.0458 | + | 25.4622i | −1.31617 | + | 0.956254i | −0.316200 | + | 0.948693i | \(0.602407\pi\) |
−0.999971 | + | 0.00756154i | \(0.997593\pi\) | |||||||
\(710\) | −4.48340 | + | 2.77089i | −0.168259 | + | 0.103990i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.00406 | − | 1.38197i | −0.0376286 | − | 0.0517914i | ||||
\(713\) | 29.8386 | + | 41.0693i | 1.11746 | + | 1.53806i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 31.8752 | + | 27.0154i | 1.19206 | + | 1.01032i | ||||
\(716\) | 8.78501 | − | 6.38268i | 0.328311 | − | 0.238532i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.43977i | 0.314970i | ||||||||
\(719\) | 7.61145 | − | 23.4256i | 0.283859 | − | 0.873629i | −0.702879 | − | 0.711309i | \(-0.748103\pi\) |
0.986738 | − | 0.162319i | \(-0.0518974\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.01606 | + | 15.4378i | 0.186808 | + | 0.574935i | ||||
\(722\) | −17.9640 | + | 5.83686i | −0.668551 | + | 0.217225i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 10.2858 | 0.382267 | ||||||||
\(725\) | −20.7618 | + | 10.7780i | −0.771074 | + | 0.400283i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.26374 | − | 11.3741i | 0.306485 | − | 0.421841i | −0.627796 | − | 0.778378i | \(-0.716043\pi\) |
0.934281 | + | 0.356537i | \(0.116043\pi\) | |||||||
\(728\) | −5.18858 | + | 1.68587i | −0.192301 | + | 0.0624825i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.32803 | − | 1.36374i | −0.123176 | − | 0.0504743i | ||||
\(731\) | −0.308818 | + | 0.950445i | −0.0114221 | + | 0.0351535i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −26.8518 | − | 8.72468i | −0.991794 | − | 0.322253i | −0.232212 | − | 0.972665i | \(-0.574596\pi\) |
−0.759582 | + | 0.650412i | \(0.774596\pi\) | |||||||
\(734\) | 2.42470 | − | 1.76165i | 0.0894974 | − | 0.0650236i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.10793 | + | 3.71113i | 0.188281 | + | 0.136794i | ||||
\(737\) | −2.99707 | − | 4.12512i | −0.110399 | − | 0.151951i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −28.0840 | − | 20.4042i | −1.03309 | − | 0.750582i | −0.0641632 | − | 0.997939i | \(-0.520438\pi\) |
−0.968924 | + | 0.247357i | \(0.920438\pi\) | |||||||
\(740\) | −2.17853 | − | 8.92486i | −0.0800844 | − | 0.328085i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.07176 | + | 0.348236i | 0.0393456 | + | 0.0127842i | ||||
\(743\) | 35.3024i | 1.29512i | 0.762015 | + | 0.647559i | \(0.224210\pi\) | ||||
−0.762015 | + | 0.647559i | \(0.775790\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.93756 | − | 3.46599i | 0.107624 | − | 0.126984i | ||||
\(746\) | −5.41923 | − | 16.6787i | −0.198412 | − | 0.610650i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.250961 | + | 0.345418i | −0.00917603 | + | 0.0126297i | ||||
\(749\) | 15.5390 | 0.567783 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.5513 | 0.530983 | 0.265491 | − | 0.964113i | \(-0.414466\pi\) | ||||
0.265491 | + | 0.964113i | \(0.414466\pi\) | |||||||
\(752\) | −6.88014 | + | 9.46969i | −0.250893 | + | 0.345324i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −6.19369 | − | 19.0622i | −0.225561 | − | 0.694205i | ||||
\(755\) | 27.4193 | − | 32.3517i | 0.997891 | − | 1.17740i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 23.9496i | 0.870462i | 0.900319 | + | 0.435231i | \(0.143333\pi\) | ||||
−0.900319 | + | 0.435231i | \(0.856667\pi\) | |||||||
\(758\) | 30.2373 | + | 9.82469i | 1.09827 | + | 0.356849i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.177079 | − | 0.725446i | −0.00642334 | − | 0.0263147i | ||||
\(761\) | −17.4988 | − | 12.7137i | −0.634333 | − | 0.460870i | 0.223566 | − | 0.974689i | \(-0.428230\pi\) |
−0.857899 | + | 0.513819i | \(0.828230\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.78071 | + | 5.20370i | 0.136871 | + | 0.188387i | ||||
\(764\) | 7.79944 | + | 5.66662i | 0.282174 | + | 0.205011i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −15.8863 | + | 11.5421i | −0.573996 | + | 0.417033i | ||||
\(767\) | 30.9999 | + | 10.0725i | 1.11934 | + | 0.363696i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −13.7177 | + | 42.2187i | −0.494672 | + | 1.52244i | 0.322795 | + | 0.946469i | \(0.395377\pi\) |
−0.817467 | + | 0.575975i | \(0.804623\pi\) | |||||||
\(770\) | −11.4928 | − | 4.70945i | −0.414172 | − | 0.169717i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 5.70634 | − | 1.85410i | 0.205376 | − | 0.0667306i | ||||
\(773\) | −6.81261 | + | 9.37675i | −0.245032 | + | 0.337258i | −0.913764 | − | 0.406246i | \(-0.866838\pi\) |
0.668731 | + | 0.743504i | \(0.266838\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −39.7531 | − | 5.98729i | −1.42797 | − | 0.215070i | ||||
\(776\) | 6.60741 | 0.237192 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −28.0879 | + | 9.12631i | −1.00700 | + | 0.327194i | ||||
\(779\) | −1.17973 | − | 3.63083i | −0.0422682 | − | 0.130088i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.17699 | − | 9.77776i | 0.113682 | − | 0.349876i | ||||
\(782\) | − | 0.618034i | − | 0.0221009i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.35114 | + | 3.16129i | −0.155398 | + | 0.112903i | ||||
\(785\) | −24.2960 | − | 20.5918i | −0.867163 | − | 0.734953i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.55658 | + | 6.27159i | 0.162424 | + | 0.223558i | 0.882470 | − | 0.470369i | \(-0.155879\pi\) |
−0.720045 | + | 0.693927i | \(0.755879\pi\) | |||||||
\(788\) | −12.1957 | − | 16.7859i | −0.434452 | − | 0.597972i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 15.4720 | − | 9.56224i | 0.550470 | − | 0.340209i | ||||
\(791\) | 14.4596 | − | 10.5055i | 0.514125 | − | 0.373534i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 7.18297i | − | 0.255075i | ||||||
\(794\) | −6.88254 | + | 21.1823i | −0.244252 | + | 0.751731i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −5.89076 | − | 18.1299i | −0.208792 | − | 0.642597i | ||||
\(797\) | −38.4237 | + | 12.4846i | −1.36104 | + | 0.442228i | −0.896390 | − | 0.443267i | \(-0.853819\pi\) |
−0.464649 | + | 0.885495i | \(0.653819\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.14579 | 0.0405350 | ||||||||
\(800\) | −4.93236 | + | 0.819639i | −0.174385 | + | 0.0289786i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 4.33467 | − | 5.96616i | 0.153062 | − | 0.210672i | ||||
\(803\) | 6.67231 | − | 2.16797i | 0.235461 | − | 0.0765059i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 17.4658 | − | 4.26336i | 0.615590 | − | 0.150264i | ||||
\(806\) | 10.6442 | − | 32.7594i | 0.374925 | − | 1.15390i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.67937 | + | 2.17026i | 0.234980 | + | 0.0763495i | ||||
\(809\) | −7.99707 | + | 5.81021i | −0.281162 | + | 0.204276i | −0.719424 | − | 0.694571i | \(-0.755594\pi\) |
0.438262 | + | 0.898847i | \(0.355594\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −4.56597 | − | 3.31737i | −0.160333 | − | 0.116489i | 0.504726 | − | 0.863280i | \(-0.331594\pi\) |
−0.665059 | + | 0.746791i | \(0.731594\pi\) | |||||||
\(812\) | 3.50197 | + | 4.82005i | 0.122895 | + | 0.169151i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 14.4979 | + | 10.5333i | 0.508150 | + | 0.369192i | ||||
\(815\) | 43.9602 | + | 3.29190i | 1.53986 | + | 0.115310i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.24258 | + | 1.05358i | 0.113443 | + | 0.0368600i | ||||
\(818\) | − | 18.4318i | − | 0.644454i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −24.8330 | + | 6.06166i | −0.867206 | + | 0.211682i | ||||
\(821\) | 2.57398 | + | 7.92189i | 0.0898325 | + | 0.276476i | 0.985873 | − | 0.167497i | \(-0.0535685\pi\) |
−0.896040 | + | 0.443973i | \(0.853569\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.29439 | + | 7.28710i | −0.184551 | + | 0.254012i | −0.891261 | − | 0.453491i | \(-0.850178\pi\) |
0.706710 | + | 0.707503i | \(0.250178\pi\) | |||||||
\(824\) | −12.7466 | −0.444050 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.68904 | −0.337125 | ||||||||
\(827\) | 27.7260 | − | 38.1615i | 0.964126 | − | 1.32701i | 0.0191672 | − | 0.999816i | \(-0.493899\pi\) |
0.944959 | − | 0.327189i | \(-0.106101\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.20305 | + | 25.2464i | 0.284904 | + | 0.876844i | 0.986427 | + | 0.164197i | \(0.0525034\pi\) |
−0.701524 | + | 0.712646i | \(0.747497\pi\) | |||||||
\(830\) | 1.23904 | − | 16.5462i | 0.0430077 | − | 0.574326i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 4.28408i | − | 0.148524i | ||||||
\(833\) | 0.500699 | + | 0.162687i | 0.0173482 | + | 0.00563677i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.9977 | − | 6.79695i | 0.380591 | − | 0.235218i | ||||
\(836\) | 1.17844 | + | 0.856187i | 0.0407572 | + | 0.0296118i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 6.81556 | + | 9.38081i | 0.235440 | + | 0.324055i | ||||
\(839\) | −0.237312 | − | 0.172417i | −0.00819291 | − | 0.00595250i | 0.583681 | − | 0.811983i | \(-0.301612\pi\) |
−0.591874 | + | 0.806030i | \(0.701612\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.75320 | − | 4.17994i | 0.198386 | − | 0.144136i | ||||
\(842\) | 2.77611 | + | 0.902012i | 0.0956710 | + | 0.0310854i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −5.25934 | + | 16.1866i | −0.181034 | + | 0.557165i | ||||
\(845\) | 6.29322 | + | 10.1826i | 0.216493 | + | 0.350294i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 9.71929 | − | 3.15799i | 0.333959 | − | 0.108510i | ||||
\(848\) | −0.520147 | + | 0.715921i | −0.0178619 | + | 0.0245848i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.348700 | + | 0.343446i | 0.0119603 | + | 0.0117801i | ||||
\(851\) | −25.9401 | −0.889215 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 47.9683 | − | 15.5859i | 1.64240 | − | 0.533650i | 0.665330 | − | 0.746549i | \(-0.268291\pi\) |
0.977074 | + | 0.212899i | \(0.0682906\pi\) | |||||||
\(854\) | 0.659802 | + | 2.03066i | 0.0225780 | + | 0.0694878i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.77070 | + | 11.6050i | −0.128880 | + | 0.396651i | ||||
\(857\) | 42.6554i | 1.45708i | 0.685003 | + | 0.728540i | \(0.259801\pi\) | ||||
−0.685003 | + | 0.728540i | \(0.740199\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −24.0952 | + | 17.5062i | −0.822118 | + | 0.597304i | −0.917318 | − | 0.398155i | \(-0.869651\pi\) |
0.0952006 | + | 0.995458i | \(0.469651\pi\) | |||||||
\(860\) | 8.65604 | − | 21.1240i | 0.295169 | − | 0.720321i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.45269 | − | 6.12860i | −0.151659 | − | 0.208741i | ||||
\(863\) | 16.1142 | + | 22.1793i | 0.548534 | + | 0.754992i | 0.989812 | − | 0.142378i | \(-0.0454749\pi\) |
−0.441278 | + | 0.897370i | \(0.645475\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.58233 | − | 22.8693i | −0.189805 | − | 0.777580i | ||||
\(866\) | −23.2853 | + | 16.9177i | −0.791265 | + | 0.574888i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 10.2390i | 0.347533i | ||||||||
\(869\) | −10.9637 | + | 33.7426i | −0.371916 | + | 1.14464i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.54759 | − | 4.76300i | −0.0524382 | − | 0.161388i | ||||
\(872\) | −4.80371 | + | 1.56082i | −0.162674 | + | 0.0528560i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.10851 | −0.0713214 | ||||||||
\(875\) | −7.30046 | + | 12.2235i | −0.246801 | + | 0.413231i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.95893 | − | 2.69624i | 0.0661484 | − | 0.0910455i | −0.774661 | − | 0.632377i | \(-0.782079\pi\) |
0.840809 | + | 0.541331i | \(0.182079\pi\) | |||||||
\(878\) | −16.8798 | + | 5.48459i | −0.569666 | + | 0.185096i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 6.30600 | − | 7.44038i | 0.212575 | − | 0.250815i | ||||
\(881\) | 2.40321 | − | 7.39632i | 0.0809662 | − | 0.249188i | −0.902377 | − | 0.430948i | \(-0.858179\pi\) |
0.983343 | + | 0.181760i | \(0.0581793\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.35794 | − | 1.74090i | −0.180309 | − | 0.0585859i | 0.217471 | − | 0.976067i | \(-0.430219\pi\) |
−0.397780 | + | 0.917481i | \(0.630219\pi\) | |||||||
\(884\) | −0.339266 | + | 0.246491i | −0.0114107 | + | 0.00829039i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 15.6496 | + | 11.3701i | 0.525758 | + | 0.381985i | ||||
\(887\) | 12.9554 | + | 17.8316i | 0.435001 | + | 0.598728i | 0.969092 | − | 0.246699i | \(-0.0793460\pi\) |
−0.534091 | + | 0.845427i | \(0.679346\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.35886 | − | 0.987268i | −0.0455746 | − | 0.0331119i | ||||
\(890\) | 1.44832 | − | 3.53443i | 0.0485477 | − | 0.118474i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.73429 | − | 1.53827i | −0.158516 | − | 0.0515049i | ||||
\(893\) | − | 3.90900i | − | 0.130810i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 22.4680 | + | 9.20679i | 0.751022 | + | 0.307749i | ||||
\(896\) | 0.393520 | + | 1.21113i | 0.0131466 | + | 0.0404610i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −6.63799 | + | 9.13641i | −0.221513 | + | 0.304886i | ||||
\(899\) | −37.6168 | −1.25459 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.0866228 | 0.00288582 | ||||||||
\(902\) | 29.3084 | − | 40.3396i | 0.975864 | − | 1.34316i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.33708 | + | 13.3482i | 0.144249 | + | 0.443953i | ||||
\(905\) | 12.0916 | + | 19.5647i | 0.401940 | + | 0.650352i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.7033i | 0.355398i | 0.984085 | + | 0.177699i | \(0.0568653\pi\) | ||||
−0.984085 | + | 0.177699i | \(0.943135\pi\) | |||||||
\(908\) | 0.976514 | + | 0.317289i | 0.0324068 | + | 0.0105296i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −9.30625 | − | 7.88740i | −0.308499 | − | 0.261465i | ||||
\(911\) | 44.2253 | + | 32.1316i | 1.46525 | + | 1.06457i | 0.981956 | + | 0.189108i | \(0.0605597\pi\) |
0.483294 | + | 0.875458i | \(0.339440\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 19.0243 | + | 26.1846i | 0.629611 | + | 0.866585i | ||||
\(914\) | −2.10944 | − | 1.53260i | −0.0697741 | − | 0.0506939i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.30489 | − | 2.40115i | 0.109197 | − | 0.0793361i | ||||
\(917\) | −2.15639 | − | 0.700653i | −0.0712102 | − | 0.0231376i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 13.9687 | − | 42.9912i | 0.460785 | − | 1.41815i | −0.403422 | − | 0.915014i | \(-0.632179\pi\) |
0.864207 | − | 0.503136i | \(-0.167821\pi\) | |||||||
\(920\) | −1.05425 | + | 14.0786i | −0.0347577 | + | 0.464156i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.86171 | − | 0.604905i | 0.0613120 | − | 0.0199215i | ||||
\(923\) | 5.93536 | − | 8.16933i | 0.195365 | − | 0.268897i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.4151 | − | 14.6356i | 0.473965 | − | 0.481216i | ||||
\(926\) | 1.45797 | 0.0479118 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.44955 | + | 1.44575i | −0.146064 | + | 0.0474589i | ||||
\(929\) | 11.4615 | + | 35.2748i | 0.376039 | + | 1.15733i | 0.942775 | + | 0.333429i | \(0.108206\pi\) |
−0.566736 | + | 0.823899i | \(0.691794\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.555029 | − | 1.70820i | 0.0181903 | − | 0.0559841i | ||||
\(932\) | − | 4.41279i | − | 0.144546i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 20.6989 | − | 15.0387i | 0.677290 | − | 0.492080i | ||||
\(935\) | −0.952045 | − | 0.0712927i | −0.0311352 | − | 0.00233152i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 26.3755 | + | 36.3028i | 0.861651 | + | 1.18596i | 0.981173 | + | 0.193129i | \(0.0618636\pi\) |
−0.119522 | + | 0.992831i | \(0.538136\pi\) | |||||||
\(938\) | 0.875024 | + | 1.20437i | 0.0285705 | + | 0.0393240i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −26.1005 | − | 1.95450i | −0.851305 | − | 0.0637488i | ||||
\(941\) | 37.8128 | − | 27.4726i | 1.23266 | − | 0.895582i | 0.235575 | − | 0.971856i | \(-0.424303\pi\) |
0.997087 | + | 0.0762745i | \(0.0243025\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 72.1771i | 2.35041i | ||||||||
\(944\) | 2.35114 | − | 7.23607i | 0.0765231 | − | 0.235514i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.7607 | + | 42.3511i | 0.447399 | + | 1.37695i | ||||
\(947\) | 32.6851 | − | 10.6200i | 1.06212 | − | 0.345105i | 0.274708 | − | 0.961528i | \(-0.411419\pi\) |
0.787415 | + | 0.616423i | \(0.211419\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.89074 | 0.223683 | ||||||||
\(950\) | 1.17171 | − | 1.18964i | 0.0380154 | − | 0.0385970i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.0732703 | − | 0.100848i | 0.00237470 | − | 0.00326850i | ||||
\(953\) | −14.4287 | + | 4.68815i | −0.467390 | + | 0.151864i | −0.533238 | − | 0.845965i | \(-0.679025\pi\) |
0.0658477 | + | 0.997830i | \(0.479025\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.60977 | + | 21.4969i | −0.0520909 | + | 0.695624i | ||||
\(956\) | −6.72179 | + | 20.6875i | −0.217398 | + | 0.669083i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 6.53112 | + | 2.12209i | 0.211011 | + | 0.0685617i | ||||
\(959\) | −9.85029 | + | 7.15666i | −0.318083 | + | 0.231101i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.2205 | − | 19.7768i | −0.878079 | − | 0.637962i | ||||
\(962\) | 10.3457 | + | 14.2396i | 0.333559 | + | 0.459105i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −12.8328 | − | 9.32358i | −0.413317 | − | 0.300292i | ||||
\(965\) | 10.2349 | + | 8.67447i | 0.329474 | + | 0.279241i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −50.8143 | − | 16.5106i | −1.63408 | − | 0.530944i | −0.658874 | − | 0.752253i | \(-0.728967\pi\) |
−0.975204 | + | 0.221309i | \(0.928967\pi\) | |||||||
\(968\) | 8.02497i | 0.257932i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 7.76748 | + | 12.5680i | 0.249399 | + | 0.403536i | ||||
\(971\) | −8.39505 | − | 25.8373i | −0.269410 | − | 0.829159i | −0.990645 | − | 0.136468i | \(-0.956425\pi\) |
0.721234 | − | 0.692691i | \(-0.243575\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.44296 | + | 4.73883i | −0.110376 | + | 0.151920i | ||||
\(974\) | −42.3233 | −1.35613 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.67667 | −0.0536688 | ||||||||
\(977\) | 6.69674 | − | 9.21727i | 0.214248 | − | 0.294886i | −0.688344 | − | 0.725384i | \(-0.741662\pi\) |
0.902592 | + | 0.430498i | \(0.141662\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.30242 | + | 7.08611i | 0.0735856 | + | 0.226473i | ||||
\(980\) | −11.1282 | − | 4.56004i | −0.355477 | − | 0.145665i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 12.9499i | 0.413249i | ||||||||
\(983\) | −8.65482 | − | 2.81212i | −0.276046 | − | 0.0896927i | 0.167723 | − | 0.985834i | \(-0.446359\pi\) |
−0.443768 | + | 0.896142i | \(0.646359\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 17.5918 | − | 42.9305i | 0.560521 | − | 1.36788i | ||||
\(986\) | 0.370503 | + | 0.269186i | 0.0117992 | + | 0.00857264i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.840938 | + | 1.15745i | 0.0267538 | + | 0.0368235i | ||||
\(989\) | −52.1484 | − | 37.8880i | −1.65822 | − | 1.20477i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.04514 | + | 2.93897i | −0.128498 | + | 0.0933594i | −0.650178 | − | 0.759782i | \(-0.725306\pi\) |
0.521680 | + | 0.853141i | \(0.325306\pi\) | |||||||
\(992\) | −7.64677 | − | 2.48459i | −0.242785 | − | 0.0788857i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.927551 | + | 2.85471i | −0.0294201 | + | 0.0905459i | ||||
\(995\) | 27.5601 | − | 32.5178i | 0.873714 | − | 1.03089i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −46.9380 | + | 15.2511i | −1.48654 | + | 0.483006i | −0.936060 | − | 0.351841i | \(-0.885556\pi\) |
−0.550481 | + | 0.834848i | \(0.685556\pi\) | |||||||
\(998\) | −7.62749 | + | 10.4983i | −0.241444 | + | 0.332319i | ||||
\(999\) | 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 | 450.2.l.b.109.1 | 8 | ||
3.2 | odd | 2 | 50.2.e.a.9.2 | ✓ | 8 | ||
12.11 | even | 2 | 400.2.y.a.209.2 | 8 | |||
15.2 | even | 4 | 250.2.d.c.201.1 | 8 | |||
15.8 | even | 4 | 250.2.d.b.201.2 | 8 | |||
15.14 | odd | 2 | 250.2.e.a.49.1 | 8 | |||
25.14 | even | 10 | inner | 450.2.l.b.289.1 | 8 | ||
75.2 | even | 20 | 250.2.d.c.51.1 | 8 | |||
75.8 | even | 20 | 1250.2.a.i.1.3 | 4 | |||
75.11 | odd | 10 | 250.2.e.a.199.1 | 8 | |||
75.14 | odd | 10 | 50.2.e.a.39.2 | yes | 8 | ||
75.17 | even | 20 | 1250.2.a.h.1.2 | 4 | |||
75.23 | even | 20 | 250.2.d.b.51.2 | 8 | |||
75.44 | odd | 10 | 1250.2.b.c.1249.3 | 8 | |||
75.56 | odd | 10 | 1250.2.b.c.1249.6 | 8 | |||
300.83 | odd | 20 | 10000.2.a.bb.1.2 | 4 | |||
300.167 | odd | 20 | 10000.2.a.o.1.3 | 4 | |||
300.239 | even | 10 | 400.2.y.a.289.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.2.e.a.9.2 | ✓ | 8 | 3.2 | odd | 2 | ||
50.2.e.a.39.2 | yes | 8 | 75.14 | odd | 10 | ||
250.2.d.b.51.2 | 8 | 75.23 | even | 20 | |||
250.2.d.b.201.2 | 8 | 15.8 | even | 4 | |||
250.2.d.c.51.1 | 8 | 75.2 | even | 20 | |||
250.2.d.c.201.1 | 8 | 15.2 | even | 4 | |||
250.2.e.a.49.1 | 8 | 15.14 | odd | 2 | |||
250.2.e.a.199.1 | 8 | 75.11 | odd | 10 | |||
400.2.y.a.209.2 | 8 | 12.11 | even | 2 | |||
400.2.y.a.289.2 | 8 | 300.239 | even | 10 | |||
450.2.l.b.109.1 | 8 | 1.1 | even | 1 | trivial | ||
450.2.l.b.289.1 | 8 | 25.14 | even | 10 | inner | ||
1250.2.a.h.1.2 | 4 | 75.17 | even | 20 | |||
1250.2.a.i.1.3 | 4 | 75.8 | even | 20 | |||
1250.2.b.c.1249.3 | 8 | 75.44 | odd | 10 | |||
1250.2.b.c.1249.6 | 8 | 75.56 | odd | 10 | |||
10000.2.a.o.1.3 | 4 | 300.167 | odd | 20 | |||
10000.2.a.bb.1.2 | 4 | 300.83 | odd | 20 |