Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), degree \(6\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 62.8 | ||
Character | \(\chi\) | \(=\) | 441.62 |
Dual form | 441.2.w.a.377.8 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{11}{14}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.843773 | + | 0.192586i | −0.596638 | + | 0.136179i | −0.510167 | − | 0.860076i | \(-0.670416\pi\) |
−0.0864713 | + | 0.996254i | \(0.527559\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.12707 | + | 0.542770i | −0.563537 | + | 0.271385i | ||||
\(5\) | −0.0384932 | − | 0.0482690i | −0.0172147 | − | 0.0215866i | 0.773150 | − | 0.634224i | \(-0.218680\pi\) |
−0.790364 | + | 0.612637i | \(0.790109\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.43436 | + | 1.03628i | −0.920103 | + | 0.391677i | ||||
\(8\) | 2.19977 | − | 1.75426i | 0.777737 | − | 0.620225i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.0417755 | + | 0.0333148i | 0.0132106 | + | 0.0105351i | ||||
\(11\) | 3.40028 | − | 0.776091i | 1.02522 | − | 0.234000i | 0.323332 | − | 0.946285i | \(-0.395197\pi\) |
0.701890 | + | 0.712285i | \(0.252340\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.60676 | + | 1.05146i | −1.27769 | + | 0.291623i | −0.806934 | − | 0.590642i | \(-0.798875\pi\) |
−0.470752 | + | 0.882266i | \(0.656017\pi\) | |||||||
\(14\) | 1.85448 | − | 1.34321i | 0.495630 | − | 0.358988i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.0416542 | − | 0.0522327i | 0.0104135 | − | 0.0130582i | ||||
\(17\) | −2.52315 | − | 1.21509i | −0.611955 | − | 0.294702i | 0.102119 | − | 0.994772i | \(-0.467438\pi\) |
−0.714074 | + | 0.700070i | \(0.753152\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 3.97727i | − | 0.912447i | −0.889865 | − | 0.456224i | \(-0.849202\pi\) | ||
0.889865 | − | 0.456224i | \(-0.150798\pi\) | |||||||
\(20\) | 0.0695837 | + | 0.0335097i | 0.0155594 | + | 0.00749300i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.71960 | + | 1.30969i | −0.579821 | + | 0.279227i | ||||
\(23\) | −2.91013 | − | 6.04296i | −0.606805 | − | 1.26004i | −0.947466 | − | 0.319857i | \(-0.896365\pi\) |
0.340661 | − | 0.940186i | \(-0.389349\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.11176 | − | 4.87092i | 0.222351 | − | 0.974185i | ||||
\(26\) | 3.68457 | − | 1.77439i | 0.722603 | − | 0.347987i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.18125 | − | 2.48926i | 0.412217 | − | 0.470426i | ||||
\(29\) | 2.79271 | − | 5.79911i | 0.518592 | − | 1.07687i | −0.463084 | − | 0.886314i | \(-0.653257\pi\) |
0.981677 | − | 0.190554i | \(-0.0610284\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.72297i | 1.02787i | 0.857828 | + | 0.513937i | \(0.171814\pi\) | ||||
−0.857828 | + | 0.513937i | \(0.828186\pi\) | |||||||
\(32\) | −2.46665 | + | 5.12205i | −0.436046 | + | 0.905460i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.36298 | + | 0.539334i | 0.405248 | + | 0.0924951i | ||||
\(35\) | 0.143727 | + | 0.0776146i | 0.0242942 | + | 0.0131193i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.25379 | − | 3.49324i | −1.19251 | − | 0.574285i | −0.270982 | − | 0.962584i | \(-0.587348\pi\) |
−0.921533 | + | 0.388300i | \(0.873063\pi\) | |||||||
\(38\) | 0.765965 | + | 3.35591i | 0.124256 | + | 0.544401i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.169353 | − | 0.0386537i | −0.0267770 | − | 0.00611168i | ||||
\(41\) | −0.544686 | − | 0.683014i | −0.0850656 | − | 0.106669i | 0.737477 | − | 0.675372i | \(-0.236017\pi\) |
−0.822543 | + | 0.568703i | \(0.807445\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.942514 | + | 1.18188i | −0.143732 | + | 0.180234i | −0.848487 | − | 0.529217i | \(-0.822486\pi\) |
0.704754 | + | 0.709451i | \(0.251057\pi\) | |||||||
\(44\) | −3.41112 | + | 2.72028i | −0.514246 | + | 0.410098i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.61928 | + | 4.53844i | 0.533634 | + | 0.669156i | ||||
\(47\) | −2.98681 | − | 13.0861i | −0.435671 | − | 1.90880i | −0.416852 | − | 0.908974i | \(-0.636867\pi\) |
−0.0188188 | − | 0.999823i | \(-0.505991\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.85225 | − | 5.04536i | 0.693179 | − | 0.720766i | ||||
\(50\) | 4.32406i | 0.611515i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.62146 | − | 3.68549i | 0.640881 | − | 0.511085i | ||||
\(53\) | 2.89428 | + | 6.01004i | 0.397560 | + | 0.825542i | 0.999633 | + | 0.0271006i | \(0.00862744\pi\) |
−0.602073 | + | 0.798441i | \(0.705658\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.168349 | − | 0.134254i | −0.0227002 | − | 0.0181028i | ||||
\(56\) | −3.53714 | + | 6.55008i | −0.472671 | + | 0.875292i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.23958 | + | 5.43097i | −0.162765 | + | 0.713122i | ||||
\(59\) | −4.09325 | + | 5.13277i | −0.532895 | + | 0.668230i | −0.973291 | − | 0.229574i | \(-0.926267\pi\) |
0.440396 | + | 0.897804i | \(0.354838\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.01825 | − | 2.11443i | 0.130374 | − | 0.270725i | −0.825555 | − | 0.564321i | \(-0.809138\pi\) |
0.955929 | + | 0.293597i | \(0.0948523\pi\) | |||||||
\(62\) | −1.10216 | − | 4.82889i | −0.139975 | − | 0.613269i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.06513 | − | 4.66663i | 0.133141 | − | 0.583328i | ||||
\(65\) | 0.228082 | + | 0.181890i | 0.0282901 | + | 0.0225606i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.92744 | −0.846322 | −0.423161 | − | 0.906055i | \(-0.639079\pi\) | ||||
−0.423161 | + | 0.906055i | \(0.639079\pi\) | |||||||
\(68\) | 3.50329 | 0.424837 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.136220 | − | 0.0378094i | −0.0162814 | − | 0.00451909i | ||||
\(71\) | −1.87659 | − | 3.89678i | −0.222711 | − | 0.462463i | 0.759436 | − | 0.650582i | \(-0.225475\pi\) |
−0.982146 | + | 0.188119i | \(0.939761\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.7355 | + | 2.90680i | 1.49058 | + | 0.340215i | 0.888743 | − | 0.458406i | \(-0.151579\pi\) |
0.601835 | + | 0.798620i | \(0.294437\pi\) | |||||||
\(74\) | 6.79330 | + | 1.55053i | 0.789705 | + | 0.180245i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.15874 | + | 4.48267i | 0.247625 | + | 0.514198i | ||||
\(77\) | −7.47327 | + | 5.41293i | −0.851658 | + | 0.616860i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.76297 | −0.760894 | −0.380447 | − | 0.924803i | \(-0.624230\pi\) | ||||
−0.380447 | + | 0.924803i | \(0.624230\pi\) | |||||||
\(80\) | −0.00412462 | −0.000461147 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.591130 | + | 0.471411i | 0.0652794 | + | 0.0520586i | ||||
\(83\) | −0.469890 | + | 2.05872i | −0.0515772 | + | 0.225974i | −0.994147 | − | 0.108034i | \(-0.965544\pi\) |
0.942570 | + | 0.334009i | \(0.108401\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0384733 | + | 0.168563i | 0.00417302 | + | 0.0182832i | ||||
\(86\) | 0.567656 | − | 1.17875i | 0.0612119 | − | 0.127108i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 6.11837 | − | 7.67220i | 0.652221 | − | 0.817859i | ||||
\(89\) | −2.55267 | + | 11.1840i | −0.270582 | + | 1.18550i | 0.638746 | + | 0.769418i | \(0.279453\pi\) |
−0.909328 | + | 0.416080i | \(0.863404\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 10.1249 | − | 7.33353i | 1.06138 | − | 0.768763i | ||||
\(92\) | 6.55987 | + | 5.23132i | 0.683914 | + | 0.545403i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.04038 | + | 10.4664i | 0.519875 | + | 1.07953i | ||||
\(95\) | −0.191979 | + | 0.153098i | −0.0196966 | + | 0.0157075i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 19.0907i | 1.93837i | 0.246336 | + | 0.969184i | \(0.420773\pi\) | ||||
−0.246336 | + | 0.969184i | \(0.579227\pi\) | |||||||
\(98\) | −3.12254 | + | 5.19161i | −0.315424 | + | 0.524432i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.39076 | + | 6.09332i | 0.139076 | + | 0.609332i | ||||
\(101\) | −2.82183 | − | 3.53847i | −0.280783 | − | 0.352091i | 0.621362 | − | 0.783524i | \(-0.286580\pi\) |
−0.902145 | + | 0.431433i | \(0.858008\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.58862 | + | 5.25425i | −0.649196 | + | 0.517717i | −0.891812 | − | 0.452406i | \(-0.850566\pi\) |
0.242616 | + | 0.970122i | \(0.421995\pi\) | |||||||
\(104\) | −8.28929 | + | 10.3944i | −0.812831 | + | 1.01926i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.59956 | − | 4.51371i | −0.349621 | − | 0.438410i | ||||
\(107\) | −8.65693 | − | 1.97589i | −0.836897 | − | 0.191016i | −0.217466 | − | 0.976068i | \(-0.569779\pi\) |
−0.619430 | + | 0.785052i | \(0.712636\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.66829 | − | 7.30926i | −0.159793 | − | 0.700101i | −0.989814 | − | 0.142368i | \(-0.954528\pi\) |
0.830020 | − | 0.557733i | \(-0.188329\pi\) | |||||||
\(110\) | 0.167904 | + | 0.0808582i | 0.0160090 | + | 0.00770952i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.0472738 | + | 0.170319i | −0.00446695 | + | 0.0160936i | ||||
\(113\) | 17.5749 | + | 4.01136i | 1.65331 | + | 0.377357i | 0.944621 | − | 0.328163i | \(-0.106430\pi\) |
0.708689 | + | 0.705521i | \(0.249287\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.179667 | + | 0.373082i | −0.0167540 | + | 0.0347901i | ||||
\(116\) | 8.05182i | 0.747593i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.46527 | − | 5.11920i | 0.226947 | − | 0.471260i | ||||
\(119\) | 7.40144 | + | 0.343272i | 0.678489 | + | 0.0314677i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.04892 | − | 0.505133i | 0.0953563 | − | 0.0459212i | ||||
\(122\) | −0.451967 | + | 1.98020i | −0.0409192 | + | 0.179279i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.10625 | − | 6.45020i | −0.278950 | − | 0.579245i | ||||
\(125\) | −0.556031 | + | 0.267771i | −0.0497330 | + | 0.0239501i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.85424 | − | 1.85611i | −0.342009 | − | 0.164703i | 0.254992 | − | 0.966943i | \(-0.417927\pi\) |
−0.597001 | + | 0.802240i | \(0.703641\pi\) | |||||||
\(128\) | − | 7.22739i | − | 0.638817i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.227479 | − | 0.109548i | −0.0199512 | − | 0.00960801i | ||||
\(131\) | 11.7995 | − | 14.7962i | 1.03093 | − | 1.29275i | 0.0756218 | − | 0.997137i | \(-0.475906\pi\) |
0.955309 | − | 0.295610i | \(-0.0955227\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.12156 | + | 9.68211i | 0.357384 | + | 0.839546i | ||||
\(134\) | 5.84519 | − | 1.33413i | 0.504948 | − | 0.115251i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.68194 | + | 1.75335i | −0.658721 | + | 0.150349i | ||||
\(137\) | 6.23671 | + | 4.97361i | 0.532838 | + | 0.424924i | 0.852593 | − | 0.522576i | \(-0.175029\pi\) |
−0.319754 | + | 0.947500i | \(0.603600\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.9245 | + | 11.1044i | −1.18106 | + | 0.941863i | −0.999141 | − | 0.0414500i | \(-0.986802\pi\) |
−0.181919 | + | 0.983314i | \(0.558231\pi\) | |||||||
\(140\) | −0.204117 | − | 0.00946677i | −0.0172511 | − | 0.000800088i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.33388 | + | 2.92660i | 0.195855 | + | 0.245595i | ||||
\(143\) | −14.8482 | + | 7.15054i | −1.24167 | + | 0.597958i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.387418 | + | 0.0884255i | −0.0321733 | + | 0.00734334i | ||||
\(146\) | −11.3057 | −0.935665 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.0716 | 0.827878 | ||||||||
\(149\) | 0.0255145 | − | 0.00582353i | 0.00209023 | − | 0.000477082i | −0.221476 | − | 0.975166i | \(-0.571087\pi\) |
0.223566 | + | 0.974689i | \(0.428230\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.0316754 | − | 0.0152541i | 0.00257771 | − | 0.00124136i | −0.432594 | − | 0.901589i | \(-0.642402\pi\) |
0.435172 | + | 0.900347i | \(0.356688\pi\) | |||||||
\(152\) | −6.97716 | − | 8.74908i | −0.565922 | − | 0.709644i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.26329 | − | 6.00653i | 0.424128 | − | 0.484020i | ||||
\(155\) | 0.276242 | − | 0.220296i | 0.0221883 | − | 0.0176946i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.04529 | + | 0.833592i | 0.0834233 | + | 0.0665279i | 0.664314 | − | 0.747454i | \(-0.268724\pi\) |
−0.580890 | + | 0.813982i | \(0.697295\pi\) | |||||||
\(158\) | 5.70642 | − | 1.30245i | 0.453978 | − | 0.103618i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.342186 | − | 0.0781017i | 0.0270522 | − | 0.00617448i | ||||
\(161\) | 13.3465 | + | 11.6950i | 1.05185 | + | 0.921699i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.98615 | − | 8.76035i | 0.547197 | − | 0.686164i | −0.428936 | − | 0.903335i | \(-0.641112\pi\) |
0.976134 | + | 0.217171i | \(0.0696830\pi\) | |||||||
\(164\) | 0.984621 | + | 0.474168i | 0.0768859 | + | 0.0370263i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 1.82759i | − | 0.141849i | ||||||
\(167\) | −21.3614 | − | 10.2871i | −1.65300 | − | 0.796041i | −0.999226 | − | 0.0393487i | \(-0.987472\pi\) |
−0.653771 | − | 0.756692i | \(-0.726814\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 8.40408 | − | 4.04719i | 0.646468 | − | 0.311322i | ||||
\(170\) | −0.0649256 | − | 0.134819i | −0.00497956 | − | 0.0103402i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.420796 | − | 1.84363i | 0.0320854 | − | 0.140575i | ||||
\(173\) | −4.41988 | + | 2.12850i | −0.336037 | + | 0.161827i | −0.594291 | − | 0.804250i | \(-0.702567\pi\) |
0.258254 | + | 0.966077i | \(0.416853\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.34122 | + | 13.0097i | 0.176979 | + | 0.983440i | ||||
\(176\) | 0.101098 | − | 0.209933i | 0.00762059 | − | 0.0158243i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 9.92834i | − | 0.744160i | ||||||
\(179\) | 2.68278 | − | 5.57086i | 0.200521 | − | 0.416385i | −0.776324 | − | 0.630334i | \(-0.782918\pi\) |
0.976845 | + | 0.213948i | \(0.0686324\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.23695 | + | 1.65179i | 0.537918 | + | 0.122776i | 0.482845 | − | 0.875706i | \(-0.339604\pi\) |
0.0550736 | + | 0.998482i | \(0.482461\pi\) | |||||||
\(182\) | −7.13081 | + | 8.13776i | −0.528571 | + | 0.603211i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −17.0026 | − | 8.18800i | −1.25344 | − | 0.603627i | ||||
\(185\) | 0.110607 | + | 0.484599i | 0.00813196 | + | 0.0356284i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.52245 | − | 2.17344i | −0.696350 | − | 0.158937i | ||||
\(188\) | 10.4691 | + | 13.1278i | 0.763535 | + | 0.957443i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.132502 | − | 0.166152i | 0.00961271 | − | 0.0120540i | ||||
\(191\) | 4.05359 | − | 3.23263i | 0.293308 | − | 0.233905i | −0.465769 | − | 0.884906i | \(-0.654222\pi\) |
0.759077 | + | 0.651001i | \(0.225651\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.39005 | − | 4.25099i | −0.244021 | − | 0.305993i | 0.644705 | − | 0.764432i | \(-0.276980\pi\) |
−0.888726 | + | 0.458439i | \(0.848409\pi\) | |||||||
\(194\) | −3.67660 | − | 16.1082i | −0.263965 | − | 1.15650i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.73037 | + | 8.32015i | −0.195027 | + | 0.594296i | ||||
\(197\) | − | 22.6860i | − | 1.61631i | −0.588968 | − | 0.808156i | \(-0.700466\pi\) | ||
0.588968 | − | 0.808156i | \(-0.299534\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.219576 | − | 0.175106i | 0.0155653 | − | 0.0124129i | −0.615676 | − | 0.787999i | \(-0.711117\pi\) |
0.631242 | + | 0.775586i | \(0.282546\pi\) | |||||||
\(200\) | −6.09925 | − | 12.6652i | −0.431282 | − | 0.895567i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.06245 | + | 2.44222i | 0.215473 | + | 0.171834i | ||||
\(203\) | −0.788962 | + | 17.0112i | −0.0553743 | + | 1.19395i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0120017 | + | 0.0525829i | −0.000838235 | + | 0.00367255i | ||||
\(206\) | 4.54741 | − | 5.70227i | 0.316833 | − | 0.397296i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.136970 | + | 0.284421i | −0.00949717 | + | 0.0197211i | ||||
\(209\) | −3.08672 | − | 13.5238i | −0.213513 | − | 0.935462i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.58864 | + | 11.3416i | −0.178209 | + | 0.780786i | 0.804247 | + | 0.594295i | \(0.202569\pi\) |
−0.982457 | + | 0.186491i | \(0.940288\pi\) | |||||||
\(212\) | −6.52413 | − | 5.20282i | −0.448079 | − | 0.357331i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 7.68501 | 0.525337 | ||||||||
\(215\) | 0.0933284 | 0.00636494 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.93059 | − | 13.9318i | −0.402595 | − | 0.945751i | ||||
\(218\) | 2.81532 | + | 5.84607i | 0.190678 | + | 0.395946i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.262610 | + | 0.0599391i | 0.0177052 | + | 0.00404110i | ||||
\(221\) | 12.9012 | + | 2.94461i | 0.867828 | + | 0.198076i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −10.3037 | − | 21.3959i | −0.689987 | − | 1.43277i | −0.891377 | − | 0.453262i | \(-0.850260\pi\) |
0.201390 | − | 0.979511i | \(-0.435454\pi\) | |||||||
\(224\) | 0.696849 | − | 15.0251i | 0.0465602 | − | 1.00391i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.6018 | −1.03782 | ||||||||
\(227\) | 3.52272 | 0.233811 | 0.116906 | − | 0.993143i | \(-0.462702\pi\) | ||||
0.116906 | + | 0.993143i | \(0.462702\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.53930 | − | 6.01239i | −0.498211 | − | 0.397310i | 0.341890 | − | 0.939740i | \(-0.388933\pi\) |
−0.840101 | + | 0.542430i | \(0.817504\pi\) | |||||||
\(230\) | 0.0797479 | − | 0.349398i | 0.00525842 | − | 0.0230386i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.02983 | − | 17.6559i | −0.264572 | − | 1.15916i | ||||
\(233\) | 9.83501 | − | 20.4226i | 0.644313 | − | 1.33793i | −0.281359 | − | 0.959603i | \(-0.590785\pi\) |
0.925672 | − | 0.378327i | \(-0.123501\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.516679 | + | 0.647895i | −0.0337044 | + | 0.0422640i | ||||
\(236\) | 1.82748 | − | 8.00670i | 0.118959 | − | 0.521192i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −6.31125 | + | 1.13577i | −0.409098 | + | 0.0736210i | ||||
\(239\) | 0.427038 | + | 0.340552i | 0.0276228 | + | 0.0220285i | 0.637204 | − | 0.770695i | \(-0.280091\pi\) |
−0.609581 | + | 0.792724i | \(0.708662\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.97519 | − | 10.3311i | −0.320480 | − | 0.665485i | 0.677034 | − | 0.735952i | \(-0.263265\pi\) |
−0.997514 | + | 0.0704676i | \(0.977551\pi\) | |||||||
\(242\) | −0.787769 | + | 0.628225i | −0.0506397 | + | 0.0403838i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.93579i | 0.187945i | ||||||||
\(245\) | −0.430313 | − | 0.0400011i | −0.0274917 | − | 0.00255558i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.18195 | + | 18.3223i | 0.266091 | + | 1.16582i | ||||
\(248\) | 10.0396 | + | 12.5892i | 0.637513 | + | 0.799416i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.417596 | − | 0.333021i | 0.0264111 | − | 0.0210621i | ||||
\(251\) | 8.15760 | − | 10.2293i | 0.514903 | − | 0.645668i | −0.454615 | − | 0.890688i | \(-0.650223\pi\) |
0.969518 | + | 0.245020i | \(0.0787945\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −14.5852 | − | 18.2892i | −0.916961 | − | 1.14983i | ||||
\(254\) | 3.60957 | + | 0.823860i | 0.226484 | + | 0.0516936i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.52215 | + | 15.4315i | 0.220134 | + | 0.964471i | ||||
\(257\) | −3.19417 | − | 1.53823i | −0.199247 | − | 0.0959523i | 0.331600 | − | 0.943420i | \(-0.392412\pi\) |
−0.530847 | + | 0.847468i | \(0.678126\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 21.2783 | + | 0.986869i | 1.32217 | + | 0.0613210i | ||||
\(260\) | −0.355790 | − | 0.0812067i | −0.0220651 | − | 0.00503622i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −7.10661 | + | 14.7570i | −0.439048 | + | 0.911692i | ||||
\(263\) | − | 10.6792i | − | 0.658506i | −0.944242 | − | 0.329253i | \(-0.893203\pi\) | ||
0.944242 | − | 0.329253i | \(-0.106797\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.178688 | − | 0.371050i | 0.0109767 | − | 0.0227934i | ||||
\(266\) | −5.34230 | − | 7.37576i | −0.327557 | − | 0.452237i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.80774 | − | 3.76001i | 0.476933 | − | 0.229679i | ||||
\(269\) | −3.32103 | + | 14.5504i | −0.202487 | + | 0.887154i | 0.766929 | + | 0.641732i | \(0.221784\pi\) |
−0.969416 | + | 0.245422i | \(0.921073\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.17162 | + | 6.58594i | 0.192662 | + | 0.400067i | 0.974814 | − | 0.223021i | \(-0.0715919\pi\) |
−0.782151 | + | 0.623088i | \(0.785878\pi\) | |||||||
\(272\) | −0.168567 | + | 0.0811777i | −0.0102209 | + | 0.00492212i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.22022 | − | 2.99550i | −0.375777 | − | 0.180965i | ||||
\(275\) | − | 17.4253i | − | 1.05079i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.65026 | + | 4.16575i | 0.519744 | + | 0.250296i | 0.675315 | − | 0.737529i | \(-0.264008\pi\) |
−0.155571 | + | 0.987825i | \(0.549722\pi\) | |||||||
\(278\) | 9.61056 | − | 12.0513i | 0.576403 | − | 0.722787i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.452322 | − | 0.0813996i | 0.0270314 | − | 0.00486456i | ||||
\(281\) | −7.13655 | + | 1.62887i | −0.425731 | + | 0.0971703i | −0.430018 | − | 0.902821i | \(-0.641493\pi\) |
0.00428673 | + | 0.999991i | \(0.498635\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.64831 | + | 1.74568i | −0.454645 | + | 0.103770i | −0.443710 | − | 0.896171i | \(-0.646338\pi\) |
−0.0109349 | + | 0.999940i | \(0.503481\pi\) | |||||||
\(284\) | 4.23012 | + | 3.37340i | 0.251011 | + | 0.200175i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 11.1515 | − | 8.89299i | 0.659400 | − | 0.525854i | ||||
\(287\) | 2.03376 | + | 1.09826i | 0.120049 | + | 0.0648282i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.70946 | − | 7.15943i | −0.335850 | − | 0.421143i | ||||
\(290\) | 0.309863 | − | 0.149222i | 0.0181958 | − | 0.00876263i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −15.9316 | + | 3.63628i | −0.932325 | + | 0.212797i | ||||
\(293\) | −12.7206 | −0.743143 | −0.371572 | − | 0.928404i | \(-0.621181\pi\) | ||||
−0.371572 | + | 0.928404i | \(0.621181\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.405316 | 0.0235984 | ||||||||
\(296\) | −22.0847 | + | 5.04069i | −1.28365 | + | 0.292984i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.0204070 | + | 0.00982747i | −0.00118214 | + | 0.000569290i | ||||
\(299\) | 19.7602 | + | 24.7786i | 1.14276 | + | 1.43298i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.06967 | − | 3.85382i | 0.0616547 | − | 0.222131i | ||||
\(302\) | −0.0237892 | + | 0.0189712i | −0.00136891 | + | 0.00109167i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.207743 | − | 0.165670i | −0.0119149 | − | 0.00950181i | ||||
\(305\) | −0.141257 | + | 0.0322410i | −0.00808836 | + | 0.00184612i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.00656 | + | 0.686228i | −0.171593 | + | 0.0391651i | −0.307454 | − | 0.951563i | \(-0.599477\pi\) |
0.135861 | + | 0.990728i | \(0.456620\pi\) | |||||||
\(308\) | 5.48495 | − | 10.1570i | 0.312534 | − | 0.578750i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.190660 | + | 0.239080i | −0.0108287 | + | 0.0135788i | ||||
\(311\) | −22.6761 | − | 10.9202i | −1.28584 | − | 0.619229i | −0.338957 | − | 0.940802i | \(-0.610074\pi\) |
−0.946885 | + | 0.321573i | \(0.895788\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.6353i | 1.16637i | 0.812338 | + | 0.583187i | \(0.198194\pi\) | ||||
−0.812338 | + | 0.583187i | \(0.801806\pi\) | |||||||
\(314\) | −1.04253 | − | 0.502055i | −0.0588332 | − | 0.0283326i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.62237 | − | 3.67074i | 0.428792 | − | 0.206495i | ||||
\(317\) | 8.49278 | + | 17.6354i | 0.477002 | + | 0.990505i | 0.991143 | + | 0.132799i | \(0.0423966\pi\) |
−0.514141 | + | 0.857706i | \(0.671889\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.99533 | − | 21.8860i | 0.279685 | − | 1.22538i | ||||
\(320\) | −0.266254 | + | 0.128221i | −0.0148840 | + | 0.00716777i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −13.5137 | − | 7.29762i | −0.753091 | − | 0.406680i | ||||
\(323\) | −4.83272 | + | 10.0353i | −0.268900 | + | 0.558377i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 23.6082i | 1.30954i | ||||||||
\(326\) | −4.20761 | + | 8.73718i | −0.233038 | + | 0.483908i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.39637 | − | 0.546956i | −0.132317 | − | 0.0302006i | ||||
\(329\) | 20.8318 | + | 28.7611i | 1.14849 | + | 1.58565i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.2323 | + | 9.26178i | 1.05710 | + | 0.509074i | 0.879929 | − | 0.475106i | \(-0.157590\pi\) |
0.177174 | + | 0.984180i | \(0.443305\pi\) | |||||||
\(332\) | −0.587813 | − | 2.57538i | −0.0322604 | − | 0.141342i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 20.0054 | + | 4.56609i | 1.09464 | + | 0.249845i | ||||
\(335\) | 0.266660 | + | 0.334381i | 0.0145692 | + | 0.0182692i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.72244 | + | 12.1916i | −0.529615 | + | 0.664117i | −0.972620 | − | 0.232403i | \(-0.925341\pi\) |
0.443004 | + | 0.896519i | \(0.353913\pi\) | |||||||
\(338\) | −6.31171 | + | 5.03342i | −0.343312 | + | 0.273782i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.134853 | − | 0.169100i | −0.00731344 | − | 0.00917076i | ||||
\(341\) | 4.44154 | + | 19.4597i | 0.240523 | + | 1.05380i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.58375 | + | 17.3105i | −0.355489 | + | 0.934681i | ||||
\(344\) | 4.25327i | 0.229321i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.31946 | − | 2.64718i | 0.178455 | − | 0.142313i | ||||
\(347\) | 0.0633374 | + | 0.131521i | 0.00340013 | + | 0.00706044i | 0.902662 | − | 0.430350i | \(-0.141610\pi\) |
−0.899262 | + | 0.437411i | \(0.855896\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.8509 | + | 9.45081i | 0.634366 | + | 0.505890i | 0.887059 | − | 0.461656i | \(-0.152745\pi\) |
−0.252693 | + | 0.967547i | \(0.581316\pi\) | |||||||
\(350\) | −4.48094 | − | 10.5263i | −0.239516 | − | 0.562657i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.41212 | + | 19.3308i | −0.235167 | + | 1.03033i | ||||
\(353\) | −3.94296 | + | 4.94431i | −0.209862 | + | 0.263159i | −0.875611 | − | 0.483017i | \(-0.839541\pi\) |
0.665749 | + | 0.746176i | \(0.268112\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.115858 | + | 0.240581i | −0.00614909 | + | 0.0127687i | ||||
\(356\) | −3.19328 | − | 13.9907i | −0.169243 | − | 0.741503i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.19079 | + | 5.21721i | −0.0629354 | + | 0.275738i | ||||
\(359\) | 25.2928 | + | 20.1703i | 1.33490 | + | 1.06455i | 0.992141 | + | 0.125127i | \(0.0399339\pi\) |
0.342762 | + | 0.939422i | \(0.388638\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.18135 | 0.167440 | ||||||||
\(362\) | −6.42446 | −0.337662 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −7.43111 | + | 13.7609i | −0.389496 | + | 0.721269i | ||||
\(365\) | −0.349923 | − | 0.726622i | −0.0183158 | − | 0.0380331i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.33500 | + | 2.13065i | 0.487283 | + | 0.111219i | 0.459102 | − | 0.888384i | \(-0.348171\pi\) |
0.0281812 | + | 0.999603i | \(0.491028\pi\) | |||||||
\(368\) | −0.436859 | − | 0.0997103i | −0.0227729 | − | 0.00519776i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.186654 | − | 0.387591i | −0.00970367 | − | 0.0201499i | ||||
\(371\) | −13.2738 | − | 11.6313i | −0.689142 | − | 0.603869i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.4756 | 0.697740 | 0.348870 | − | 0.937171i | \(-0.386566\pi\) | ||||
0.348870 | + | 0.937171i | \(0.386566\pi\) | |||||||
\(374\) | 8.45336 | 0.437113 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −29.5266 | − | 23.5467i | −1.52272 | − | 1.21433i | ||||
\(377\) | −6.76777 | + | 29.6516i | −0.348558 | + | 1.52713i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.51751 | − | 6.64863i | −0.0779490 | − | 0.341517i | 0.920883 | − | 0.389840i | \(-0.127470\pi\) |
−0.998832 | + | 0.0483226i | \(0.984612\pi\) | |||||||
\(380\) | 0.133277 | − | 0.276753i | 0.00683697 | − | 0.0141971i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.79776 | + | 3.50827i | −0.143146 | + | 0.179499i | ||||
\(383\) | −4.77281 | + | 20.9111i | −0.243879 | + | 1.06851i | 0.693572 | + | 0.720388i | \(0.256036\pi\) |
−0.937451 | + | 0.348118i | \(0.886821\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.548947 | + | 0.152366i | 0.0279769 | + | 0.00776529i | ||||
\(386\) | 3.67911 | + | 2.93399i | 0.187262 | + | 0.149336i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −10.3619 | − | 21.5166i | −0.526044 | − | 1.09234i | ||||
\(389\) | −8.78880 | + | 7.00883i | −0.445610 | + | 0.355362i | −0.820441 | − | 0.571731i | \(-0.806272\pi\) |
0.374831 | + | 0.927093i | \(0.377701\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 18.7834i | 0.949916i | ||||||||
\(392\) | 1.82298 | − | 19.6108i | 0.0920743 | − | 0.990493i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.36901 | + | 19.1419i | 0.220107 | + | 0.964354i | ||||
\(395\) | 0.260329 | + | 0.326442i | 0.0130986 | + | 0.0164251i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 23.1518 | − | 18.4629i | 1.16195 | − | 0.926627i | 0.163748 | − | 0.986502i | \(-0.447642\pi\) |
0.998206 | + | 0.0598748i | \(0.0190701\pi\) | |||||||
\(398\) | −0.151549 | + | 0.190037i | −0.00759649 | + | 0.00952569i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.208112 | − | 0.260964i | −0.0104056 | − | 0.0130482i | ||||
\(401\) | 12.7588 | + | 2.91212i | 0.637145 | + | 0.145424i | 0.528878 | − | 0.848698i | \(-0.322613\pi\) |
0.108267 | + | 0.994122i | \(0.465470\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.01749 | − | 26.3643i | −0.299752 | − | 1.31330i | ||||
\(404\) | 5.10099 | + | 2.45651i | 0.253784 | + | 0.122216i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.61040 | − | 14.5055i | −0.129552 | − | 0.719897i | ||||
\(407\) | −27.3760 | − | 6.24839i | −1.35698 | − | 0.309721i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 16.9849 | − | 35.2695i | 0.839848 | − | 1.74396i | 0.193224 | − | 0.981155i | \(-0.438106\pi\) |
0.646624 | − | 0.762809i | \(-0.276180\pi\) | |||||||
\(410\) | − | 0.0466794i | − | 0.00230533i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.57401 | − | 9.49804i | 0.225345 | − | 0.467935i | ||||
\(413\) | 4.64547 | − | 16.7368i | 0.228589 | − | 0.823563i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.117460 | − | 0.0565658i | 0.00576589 | − | 0.00277671i | ||||
\(416\) | 5.97762 | − | 26.1897i | 0.293077 | − | 1.28405i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.20899 | + | 10.8166i | 0.254780 | + | 0.529056i | ||||
\(419\) | 33.9245 | − | 16.3372i | 1.65732 | − | 0.798123i | 0.658351 | − | 0.752711i | \(-0.271254\pi\) |
0.998968 | − | 0.0454117i | \(-0.0144600\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 28.6493 | + | 13.7968i | 1.39628 | + | 0.672414i | 0.972403 | − | 0.233306i | \(-0.0749543\pi\) |
0.423878 | + | 0.905719i | \(0.360669\pi\) | |||||||
\(422\) | − | 10.0683i | − | 0.490115i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 16.9099 | + | 8.14339i | 0.821218 | + | 0.395478i | ||||
\(425\) | −8.72373 | + | 10.9392i | −0.423163 | + | 0.530630i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.287665 | + | 6.20248i | −0.0139211 | + | 0.300159i | ||||
\(428\) | 10.8294 | − | 2.47175i | 0.523461 | − | 0.119477i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.0787480 | + | 0.0179737i | −0.00379757 | + | 0.000866770i | ||||
\(431\) | −9.63401 | − | 7.68286i | −0.464054 | − | 0.370071i | 0.363373 | − | 0.931644i | \(-0.381625\pi\) |
−0.827427 | + | 0.561573i | \(0.810196\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 29.2541 | − | 23.3294i | 1.40586 | − | 1.12114i | 0.429982 | − | 0.902838i | \(-0.358520\pi\) |
0.975882 | − | 0.218301i | \(-0.0700514\pi\) | |||||||
\(434\) | 7.68714 | + | 10.6131i | 0.368994 | + | 0.509446i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.84754 | + | 7.33258i | 0.280046 | + | 0.351167i | ||||
\(437\) | −24.0344 | + | 11.5744i | −1.14972 | + | 0.553678i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −27.8246 | + | 6.35079i | −1.32800 | + | 0.303107i | −0.826932 | − | 0.562302i | \(-0.809916\pi\) |
−0.501066 | + | 0.865409i | \(0.667059\pi\) | |||||||
\(440\) | −0.605845 | −0.0288825 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −11.4528 | −0.544753 | ||||||||
\(443\) | −34.6668 | + | 7.91248i | −1.64707 | + | 0.375933i | −0.942633 | − | 0.333831i | \(-0.891658\pi\) |
−0.704439 | + | 0.709765i | \(0.748801\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.638099 | − | 0.307292i | 0.0302488 | − | 0.0145671i | ||||
\(446\) | 12.8145 | + | 16.0689i | 0.606786 | + | 0.760885i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.24302 | + | 12.4640i | 0.105973 | + | 0.588870i | ||||
\(449\) | −29.2058 | + | 23.2908i | −1.37831 | + | 1.09916i | −0.394703 | + | 0.918809i | \(0.629153\pi\) |
−0.983602 | + | 0.180353i | \(0.942276\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.38216 | − | 1.89971i | −0.112172 | − | 0.0894540i | ||||
\(452\) | −21.9855 | + | 5.01804i | −1.03411 | + | 0.236029i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.97238 | + | 0.678427i | −0.139501 | + | 0.0318401i | ||||
\(455\) | −0.743723 | − | 0.206428i | −0.0348663 | − | 0.00967751i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.65086 | − | 9.59387i | 0.357892 | − | 0.448782i | −0.569993 | − | 0.821650i | \(-0.693054\pi\) |
0.927885 | + | 0.372867i | \(0.121625\pi\) | |||||||
\(458\) | 7.51936 | + | 3.62113i | 0.351357 | + | 0.169204i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 0.518009i | − | 0.0241523i | ||||||
\(461\) | 34.5881 | + | 16.6567i | 1.61093 | + | 0.775782i | 0.999875 | − | 0.0158086i | \(-0.00503224\pi\) |
0.611052 | + | 0.791590i | \(0.290747\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.90057 | + | 2.35999i | −0.227749 | + | 0.109678i | −0.544279 | − | 0.838904i | \(-0.683197\pi\) |
0.316530 | + | 0.948583i | \(0.397482\pi\) | |||||||
\(464\) | −0.186575 | − | 0.387428i | −0.00866155 | − | 0.0179859i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.36542 | + | 19.1261i | −0.202224 | + | 0.886001i | ||||
\(467\) | −26.4297 | + | 12.7279i | −1.22302 | + | 0.588977i | −0.930152 | − | 0.367176i | \(-0.880325\pi\) |
−0.292871 | + | 0.956152i | \(0.594611\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.8639 | − | 7.17876i | 0.778703 | − | 0.331484i | ||||
\(470\) | 0.311185 | − | 0.646181i | 0.0143539 | − | 0.0298061i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 18.4715i | 0.850222i | ||||||||
\(473\) | −2.28757 | + | 4.75018i | −0.105182 | + | 0.218414i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −19.3730 | − | 4.42175i | −0.888892 | − | 0.202884i | ||||
\(476\) | −8.52829 | + | 3.63039i | −0.390893 | + | 0.166399i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.425909 | − | 0.205107i | −0.0194806 | − | 0.00938137i | ||||
\(479\) | 6.74091 | + | 29.5338i | 0.308000 | + | 1.34944i | 0.857733 | + | 0.514096i | \(0.171872\pi\) |
−0.549733 | + | 0.835340i | \(0.685271\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 37.0895 | + | 8.46543i | 1.69113 | + | 0.385990i | ||||
\(482\) | 6.18756 | + | 7.75895i | 0.281836 | + | 0.353411i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.908038 | + | 1.13864i | −0.0412745 | + | 0.0517565i | ||||
\(485\) | 0.921490 | − | 0.734864i | 0.0418427 | − | 0.0333684i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.46958 | + | 11.8745i | 0.429108 | + | 0.538084i | 0.948636 | − | 0.316369i | \(-0.102464\pi\) |
−0.519528 | + | 0.854453i | \(0.673892\pi\) | |||||||
\(488\) | −1.46933 | − | 6.43754i | −0.0665133 | − | 0.291414i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.370791 | − | 0.0491204i | 0.0167506 | − | 0.00221903i | ||||
\(491\) | − | 22.0177i | − | 0.993643i | −0.867853 | − | 0.496821i | \(-0.834500\pi\) | ||
0.867853 | − | 0.496821i | \(-0.165500\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −14.0928 | + | 11.2387i | −0.634710 | + | 0.506164i | ||||
\(494\) | −7.05723 | − | 14.6545i | −0.317520 | − | 0.659337i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.298926 | + | 0.238385i | 0.0134222 | + | 0.0107038i | ||||
\(497\) | 8.60646 | + | 7.54152i | 0.386053 | + | 0.338283i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.10921 | − | 39.9101i | 0.407784 | − | 1.78662i | −0.186597 | − | 0.982437i | \(-0.559746\pi\) |
0.594381 | − | 0.804183i | \(-0.297397\pi\) | |||||||
\(500\) | 0.481350 | − | 0.603594i | 0.0215266 | − | 0.0269936i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −4.91315 | + | 10.2023i | −0.219284 | + | 0.455349i | ||||
\(503\) | −6.99232 | − | 30.6353i | −0.311772 | − | 1.36596i | −0.851602 | − | 0.524188i | \(-0.824369\pi\) |
0.539830 | − | 0.841774i | \(-0.318488\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.0621768 | + | 0.272414i | −0.00276683 | + | 0.0121223i | ||||
\(506\) | 15.8288 | + | 12.6231i | 0.703676 | + | 0.561163i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 5.35145 | 0.237432 | ||||||||
\(509\) | 11.4957 | 0.509537 | 0.254768 | − | 0.967002i | \(-0.418001\pi\) | ||||
0.254768 | + | 0.967002i | \(0.418001\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −34.0151 | + | 6.12134i | −1.50474 | + | 0.270792i | ||||
\(512\) | 0.327909 | + | 0.680909i | 0.0144916 | + | 0.0300922i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.99140 | + | 0.682767i | 0.131945 | + | 0.0301156i | ||||
\(515\) | 0.507235 | + | 0.115773i | 0.0223514 | + | 0.00510157i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −20.3120 | − | 42.1782i | −0.893319 | − | 1.85500i | ||||
\(518\) | −18.1441 | + | 3.26521i | −0.797208 | + | 0.143465i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.820811 | 0.0359949 | ||||||||
\(521\) | 22.1935 | 0.972315 | 0.486157 | − | 0.873871i | \(-0.338398\pi\) | ||||
0.486157 | + | 0.873871i | \(0.338398\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.6618 | + | 14.0848i | 0.772295 | + | 0.615885i | 0.928283 | − | 0.371874i | \(-0.121285\pi\) |
−0.155988 | + | 0.987759i | \(0.549856\pi\) | |||||||
\(524\) | −5.26804 | + | 23.0808i | −0.230135 | + | 1.00829i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.05666 | + | 9.01080i | 0.0896744 | + | 0.392889i | ||||
\(527\) | 6.95390 | − | 14.4399i | 0.302917 | − | 0.629013i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.7082 | + | 17.1895i | −0.596008 | + | 0.747370i | ||||
\(530\) | −0.0793134 | + | 0.347495i | −0.00344515 | + | 0.0150942i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.90046 | − | 8.67539i | −0.429239 | − | 0.376126i | ||||
\(533\) | 3.22740 | + | 2.57377i | 0.139794 | + | 0.111482i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.237859 | + | 0.493920i | 0.0102835 | + | 0.0213540i | ||||
\(536\) | −15.2388 | + | 12.1525i | −0.658216 | + | 0.524910i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 12.9168i | − | 0.556884i | ||||||
\(539\) | 12.5833 | − | 20.9214i | 0.542003 | − | 0.901149i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.83952 | − | 21.2033i | −0.208067 | − | 0.911601i | −0.965852 | − | 0.259096i | \(-0.916575\pi\) |
0.757784 | − | 0.652505i | \(-0.226282\pi\) | |||||||
\(542\) | −3.94449 | − | 4.94623i | −0.169430 | − | 0.212459i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 12.4475 | − | 9.92653i | 0.533681 | − | 0.425597i | ||||
\(545\) | −0.288593 | + | 0.361884i | −0.0123620 | + | 0.0155014i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 13.7085 | + | 17.1899i | 0.586131 | + | 0.734985i | 0.983145 | − | 0.182827i | \(-0.0585249\pi\) |
−0.397014 | + | 0.917813i | \(0.629953\pi\) | |||||||
\(548\) | −9.72876 | − | 2.22053i | −0.415592 | − | 0.0948562i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.35587 | + | 14.7030i | 0.143095 | + | 0.626939i | ||||
\(551\) | −23.0646 | − | 11.1073i | −0.982585 | − | 0.473188i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 16.4635 | − | 7.00833i | 0.700101 | − | 0.298024i | ||||
\(554\) | −8.10113 | − | 1.84903i | −0.344184 | − | 0.0785577i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 9.66678 | − | 20.0733i | 0.409963 | − | 0.851296i | ||||
\(557\) | − | 31.9207i | − | 1.35252i | −0.736662 | − | 0.676262i | \(-0.763599\pi\) | ||
0.736662 | − | 0.676262i | \(-0.236401\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.09924 | − | 6.43564i | 0.131084 | − | 0.272198i | ||||
\(560\) | 0.0100408 | − | 0.00427426i | 0.000424303 | − | 0.000180621i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.70793 | − | 2.74880i | 0.240775 | − | 0.115951i | ||||
\(563\) | 2.67208 | − | 11.7071i | 0.112615 | − | 0.493398i | −0.886892 | − | 0.461978i | \(-0.847140\pi\) |
0.999506 | − | 0.0314198i | \(-0.0100029\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.482892 | − | 1.00273i | −0.0203154 | − | 0.0421854i | ||||
\(566\) | 6.11725 | − | 2.94591i | 0.257127 | − | 0.123826i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.9640 | − | 5.28001i | −0.460041 | − | 0.221544i | ||||
\(569\) | − | 16.1597i | − | 0.677450i | −0.940886 | − | 0.338725i | \(-0.890004\pi\) | ||
0.940886 | − | 0.338725i | \(-0.109996\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.1418 | − | 9.69978i | −0.842908 | − | 0.405923i | −0.0379679 | − | 0.999279i | \(-0.512088\pi\) |
−0.804940 | + | 0.593356i | \(0.797803\pi\) | |||||||
\(572\) | 12.8540 | − | 16.1184i | 0.537451 | − | 0.673942i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.92754 | − | 0.535009i | −0.0804539 | − | 0.0223308i | ||||
\(575\) | −32.6701 | + | 7.45675i | −1.36244 | + | 0.310968i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −29.0434 | + | 6.62897i | −1.20909 | + | 0.275967i | −0.779120 | − | 0.626875i | \(-0.784334\pi\) |
−0.429972 | + | 0.902842i | \(0.641477\pi\) | |||||||
\(578\) | 6.19629 | + | 4.94138i | 0.257732 | + | 0.205534i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.388653 | − | 0.309941i | 0.0161380 | − | 0.0128696i | ||||
\(581\) | −0.989529 | − | 5.49862i | −0.0410526 | − | 0.228121i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.5057 | + | 18.1896i | 0.600765 | + | 0.753335i | ||||
\(584\) | 33.1145 | − | 15.9471i | 1.37029 | − | 0.659895i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.7333 | − | 2.44980i | 0.443387 | − | 0.101200i | ||||
\(587\) | −21.0093 | −0.867148 | −0.433574 | − | 0.901118i | \(-0.642748\pi\) | ||||
−0.433574 | + | 0.901118i | \(0.642748\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.7618 | 0.937882 | ||||||||
\(590\) | −0.341995 | + | 0.0780581i | −0.0140797 | + | 0.00321360i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.484612 | + | 0.233377i | −0.0199174 | + | 0.00959173i | ||||
\(593\) | −5.16895 | − | 6.48165i | −0.212263 | − | 0.266170i | 0.664290 | − | 0.747475i | \(-0.268734\pi\) |
−0.876553 | + | 0.481306i | \(0.840163\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.268336 | − | 0.370474i | −0.0110007 | − | 0.0151879i | ||||
\(596\) | −0.0255959 | + | 0.0204121i | −0.00104845 | + | 0.000836111i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −21.4452 | − | 17.1019i | −0.876958 | − | 0.699351i | ||||
\(599\) | 29.1262 | − | 6.64786i | 1.19006 | − | 0.271624i | 0.418763 | − | 0.908096i | \(-0.362464\pi\) |
0.771300 | + | 0.636472i | \(0.219607\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −32.3719 | + | 7.38868i | −1.32048 | + | 0.301390i | −0.823966 | − | 0.566640i | \(-0.808243\pi\) |
−0.496512 | + | 0.868030i | \(0.665386\pi\) | |||||||
\(602\) | −0.160367 | + | 3.45776i | −0.00653609 | + | 0.140928i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.0274211 | + | 0.0343849i | −0.00111575 | + | 0.00139910i | ||||
\(605\) | −0.0647586 | − | 0.0311861i | −0.00263281 | − | 0.00126789i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 21.1596i | − | 0.858840i | −0.903105 | − | 0.429420i | \(-0.858718\pi\) | ||
0.903105 | − | 0.429420i | \(-0.141282\pi\) | |||||||
\(608\) | 20.3718 | + | 9.81053i | 0.826184 | + | 0.397869i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.112980 | − | 0.0544082i | 0.00457442 | − | 0.00220292i | ||||
\(611\) | 27.5190 | + | 57.1438i | 1.11330 | + | 2.31179i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.60815 | + | 37.7148i | −0.347680 | + | 1.52329i | 0.434752 | + | 0.900550i | \(0.356836\pi\) |
−0.782432 | + | 0.622736i | \(0.786021\pi\) | |||||||
\(614\) | 2.40470 | − | 1.15804i | 0.0970457 | − | 0.0467347i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.94381 | + | 25.0173i | −0.279774 | + | 1.00797i | ||||
\(617\) | 3.14453 | − | 6.52968i | 0.126594 | − | 0.262875i | −0.828033 | − | 0.560679i | \(-0.810540\pi\) |
0.954627 | + | 0.297804i | \(0.0962543\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 2.50182i | − | 0.100557i | −0.998735 | − | 0.0502784i | \(-0.983989\pi\) | ||
0.998735 | − | 0.0502784i | \(-0.0160109\pi\) | |||||||
\(620\) | −0.191775 | + | 0.398225i | −0.00770187 | + | 0.0159931i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 21.2365 | + | 4.84710i | 0.851508 | + | 0.194351i | ||||
\(623\) | −5.37559 | − | 29.8711i | −0.215368 | − | 1.19676i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −22.4727 | − | 10.8223i | −0.898909 | − | 0.432892i | ||||
\(626\) | −3.97406 | − | 17.4115i | −0.158835 | − | 0.695903i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.63057 | − | 0.372167i | −0.0650668 | − | 0.0148511i | ||||
\(629\) | 14.0578 | + | 17.6280i | 0.560522 | + | 0.702873i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.5968 | + | 13.2880i | −0.421852 | + | 0.528986i | −0.946660 | − | 0.322235i | \(-0.895566\pi\) |
0.524807 | + | 0.851221i | \(0.324137\pi\) | |||||||
\(632\) | −14.8770 | + | 11.8640i | −0.591775 | + | 0.471925i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −10.5623 | − | 13.2447i | −0.419483 | − | 0.526015i | ||||
\(635\) | 0.0587700 | + | 0.257488i | 0.00233221 | + | 0.0102181i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −17.0482 | + | 28.3447i | −0.675473 | + | 1.12306i | ||||
\(638\) | 19.4288i | 0.769195i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.348859 | + | 0.278206i | −0.0137899 | + | 0.0109971i | ||||
\(641\) | −3.78762 | − | 7.86507i | −0.149602 | − | 0.310652i | 0.812678 | − | 0.582713i | \(-0.198009\pi\) |
−0.962280 | + | 0.272062i | \(0.912295\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 22.4798 | + | 17.9270i | 0.886516 | + | 0.706973i | 0.956860 | − | 0.290550i | \(-0.0938383\pi\) |
−0.0703440 | + | 0.997523i | \(0.522410\pi\) | |||||||
\(644\) | −21.3902 | − | 5.93709i | −0.842893 | − | 0.233954i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.14508 | − | 9.39820i | 0.0843969 | − | 0.369767i | ||||
\(647\) | 28.4335 | − | 35.6545i | 1.11784 | − | 1.40172i | 0.212432 | − | 0.977176i | \(-0.431862\pi\) |
0.905405 | − | 0.424548i | \(-0.139567\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.93468 | + | 20.6296i | −0.389970 | + | 0.809782i | ||||
\(650\) | −4.54659 | − | 19.9199i | −0.178332 | − | 0.781324i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.11905 | + | 13.6654i | −0.122151 | + | 0.535180i | ||||
\(653\) | 36.8526 | + | 29.3890i | 1.44215 | + | 1.15008i | 0.962052 | + | 0.272868i | \(0.0879721\pi\) |
0.480103 | + | 0.877212i | \(0.340599\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.16840 | −0.0456531 | ||||||||
\(656\) | −0.0583641 | −0.00227874 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −23.1163 | − | 20.2559i | −0.901166 | − | 0.789657i | ||||
\(659\) | −9.12325 | − | 18.9446i | −0.355391 | − | 0.737978i | 0.644249 | − | 0.764816i | \(-0.277170\pi\) |
−0.999640 | + | 0.0268386i | \(0.991456\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.69086 | − | 0.614172i | −0.104663 | − | 0.0238885i | 0.169869 | − | 0.985467i | \(-0.445666\pi\) |
−0.274531 | + | 0.961578i | \(0.588523\pi\) | |||||||
\(662\) | −18.0114 | − | 4.11098i | −0.700032 | − | 0.159778i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.57789 | + | 5.35303i | 0.100041 | + | 0.207738i | ||||
\(665\) | 0.308694 | − | 0.571639i | 0.0119706 | − | 0.0221672i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −43.1709 | −1.67159 | ||||||||
\(668\) | 29.6594 | 1.14756 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.289397 | − | 0.230787i | −0.0111804 | − | 0.00891607i | ||||
\(671\) | 1.82136 | − | 7.97990i | 0.0703128 | − | 0.308060i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.0827287 | + | 0.362458i | 0.00318896 | + | 0.0139717i | 0.976497 | − | 0.215529i | \(-0.0691477\pi\) |
−0.973308 | + | 0.229501i | \(0.926291\pi\) | |||||||
\(674\) | 5.85562 | − | 12.1593i | 0.225550 | − | 0.468359i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.27532 | + | 9.12296i | −0.279820 | + | 0.350883i | ||||
\(677\) | −6.28042 | + | 27.5163i | −0.241376 | + | 1.05754i | 0.698389 | + | 0.715718i | \(0.253900\pi\) |
−0.939765 | + | 0.341820i | \(0.888957\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −19.7833 | − | 46.4737i | −0.759214 | − | 1.78350i | ||||
\(680\) | 0.380335 | + | 0.303307i | 0.0145852 | + | 0.0116313i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.49531 | − | 15.5642i | −0.287010 | − | 0.595983i | ||||
\(683\) | 7.50909 | − | 5.98830i | 0.287327 | − | 0.229136i | −0.469210 | − | 0.883087i | \(-0.655461\pi\) |
0.756537 | + | 0.653951i | \(0.226890\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 0.492490i | − | 0.0188171i | ||||||
\(686\) | 2.22143 | − | 15.8741i | 0.0848145 | − | 0.606076i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.0224729 | + | 0.0984601i | 0.000856771 | + | 0.00375376i | ||||
\(689\) | −19.6526 | − | 24.6436i | −0.748704 | − | 0.938845i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.8209 | − | 15.0092i | 0.715980 | − | 0.570975i | −0.196299 | − | 0.980544i | \(-0.562892\pi\) |
0.912279 | + | 0.409569i | \(0.134321\pi\) | |||||||
\(692\) | 3.82624 | − | 4.79796i | 0.145452 | − | 0.182391i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.0787716 | − | 0.0987765i | −0.00299013 | − | 0.00374950i | ||||
\(695\) | 1.07200 | + | 0.244676i | 0.0406632 | + | 0.00928110i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.544404 | + | 2.38519i | 0.0206208 | + | 0.0903455i | ||||
\(698\) | −11.8196 | − | 5.69202i | −0.447378 | − | 0.215446i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −9.69999 | − | 13.3921i | −0.366625 | − | 0.506175i | ||||
\(701\) | 37.8776 | + | 8.64531i | 1.43062 | + | 0.326529i | 0.866504 | − | 0.499169i | \(-0.166361\pi\) |
0.564112 | + | 0.825698i | \(0.309219\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.8935 | + | 28.8502i | −0.524005 | + | 1.08811i | ||||
\(704\) | − | 16.6945i | − | 0.629196i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.37476 | − | 4.93123i | 0.0893752 | − | 0.185589i | ||||
\(707\) | 10.5362 | + | 5.68971i | 0.396255 | + | 0.213984i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 28.1686 | − | 13.5653i | 1.05789 | − | 0.509455i | 0.177707 | − | 0.984083i | \(-0.443132\pi\) |
0.880186 | + | 0.474629i | \(0.157418\pi\) | |||||||
\(710\) | 0.0514252 | − | 0.225308i | 0.00192995 | − | 0.00845568i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.0043 | + | 29.0802i | 0.524833 | + | 1.08983i | ||||
\(713\) | 34.5836 | − | 16.6546i | 1.29517 | − | 0.623720i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.916706 | + | 0.441462i | 0.0342829 | + | 0.0165098i | ||||
\(716\) | 7.73490i | 0.289067i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −25.2259 | − | 12.1482i | −0.941423 | − | 0.453365i | ||||
\(719\) | −10.0809 | + | 12.6411i | −0.375955 | + | 0.471432i | −0.933429 | − | 0.358762i | \(-0.883199\pi\) |
0.557474 | + | 0.830194i | \(0.311770\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.5942 | − | 19.6184i | 0.394550 | − | 0.730628i | ||||
\(722\) | −2.68434 | + | 0.612684i | −0.0999009 | + | 0.0228017i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −9.05312 | + | 2.06632i | −0.336456 | + | 0.0767940i | ||||
\(725\) | −25.1422 | − | 20.0503i | −0.933759 | − | 0.744648i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −22.6368 | + | 18.0523i | −0.839553 | + | 0.669521i | −0.945775 | − | 0.324821i | \(-0.894696\pi\) |
0.106222 | + | 0.994342i | \(0.466124\pi\) | |||||||
\(728\) | 9.40760 | − | 33.8938i | 0.348669 | − | 1.25619i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.435193 | + | 0.545714i | 0.0161072 | + | 0.0201978i | ||||
\(731\) | 3.81419 | − | 1.83682i | 0.141073 | − | 0.0679371i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.00523 | − | 0.685925i | 0.111001 | − | 0.0253352i | −0.166660 | − | 0.986014i | \(-0.553298\pi\) |
0.277661 | + | 0.960679i | \(0.410441\pi\) | |||||||
\(734\) | −8.28696 | −0.305877 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 38.1306 | 1.40551 | ||||||||
\(737\) | −23.5552 | + | 5.37633i | −0.867668 | + | 0.198040i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −36.1985 | + | 17.4323i | −1.33159 | + | 0.641258i | −0.958115 | − | 0.286385i | \(-0.907546\pi\) |
−0.373470 | + | 0.927642i | \(0.621832\pi\) | |||||||
\(740\) | −0.387688 | − | 0.486145i | −0.0142517 | − | 0.0178710i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 13.4401 | + | 7.25786i | 0.493402 | + | 0.266444i | ||||
\(743\) | −4.63509 | + | 3.69636i | −0.170045 | + | 0.135606i | −0.704815 | − | 0.709392i | \(-0.748970\pi\) |
0.534770 | + | 0.844998i | \(0.320398\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.00126323 | − | 0.00100739i | −4.62813e−5 | − | 3.69081e-5i | ||||
\(746\) | −11.3703 | + | 2.59521i | −0.416298 | + | 0.0950173i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 11.9122 | − | 2.71888i | 0.435552 | − | 0.0994119i | ||||
\(749\) | 23.1217 | − | 4.16096i | 0.844848 | − | 0.152038i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.2461 | − | 30.4037i | 0.884753 | − | 1.10945i | −0.108571 | − | 0.994089i | \(-0.534627\pi\) |
0.993324 | − | 0.115357i | \(-0.0368012\pi\) | |||||||
\(752\) | −0.807933 | − | 0.389080i | −0.0294623 | − | 0.0141883i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 26.3226i | − | 0.958611i | ||||||
\(755\) | −0.00195559 | 0.000941762i | −7.11711e−5 | 3.42742e-5i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −28.5246 | + | 13.7367i | −1.03674 | + | 0.499269i | −0.873249 | − | 0.487275i | \(-0.837991\pi\) |
−0.163495 | + | 0.986544i | \(0.552277\pi\) | |||||||
\(758\) | 2.56086 | + | 5.31769i | 0.0930147 | + | 0.193147i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.153736 | + | 0.673561i | −0.00557659 | + | 0.0244326i | ||||
\(761\) | −35.6689 | + | 17.1772i | −1.29300 | + | 0.622674i | −0.948697 | − | 0.316186i | \(-0.897598\pi\) |
−0.344299 | + | 0.938860i | \(0.611883\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.6357 | + | 16.0646i | 0.421239 | + | 0.581577i | ||||
\(764\) | −2.81412 | + | 5.84358i | −0.101811 | + | 0.211413i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 18.5634i | − | 0.670722i | ||||||
\(767\) | 13.4597 | − | 27.9493i | 0.486001 | − | 1.00919i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.5680 | − | 2.86855i | −0.453212 | − | 0.103443i | −0.0101794 | − | 0.999948i | \(-0.503240\pi\) |
−0.443033 | + | 0.896505i | \(0.646097\pi\) | |||||||
\(770\) | −0.492530 | − | 0.0228431i | −0.0177496 | − | 0.000823208i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 6.12814 | + | 2.95116i | 0.220557 | + | 0.106214i | ||||
\(773\) | −7.48695 | − | 32.8025i | −0.269287 | − | 1.17982i | −0.910845 | − | 0.412749i | \(-0.864569\pi\) |
0.641558 | − | 0.767075i | \(-0.278288\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 27.8761 | + | 6.36254i | 1.00134 | + | 0.228549i | ||||
\(776\) | 33.4901 | + | 41.9952i | 1.20222 | + | 1.50754i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.06595 | − | 7.60646i | 0.217475 | − | 0.272705i | ||||
\(779\) | −2.71653 | + | 2.16636i | −0.0973298 | + | 0.0776179i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.40520 | − | 11.7937i | −0.336544 | − | 0.422013i | ||||
\(782\) | −3.61741 | − | 15.8489i | −0.129358 | − | 0.566756i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.0614161 | − | 0.463607i | −0.00219343 | − | 0.0165574i | ||||
\(785\) | − | 0.0825428i | − | 0.00294608i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 39.1022 | − | 31.1830i | 1.39384 | − | 1.11155i | 0.414341 | − | 0.910122i | \(-0.364012\pi\) |
0.979503 | − | 0.201431i | \(-0.0645593\pi\) | |||||||
\(788\) | 12.3133 | + | 25.5688i | 0.438643 | + | 0.910852i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.282527 | − | 0.225307i | −0.0100518 | − | 0.00801608i | ||||
\(791\) | −46.9407 | + | 8.44741i | −1.66902 | + | 0.300355i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.46761 | + | 10.8113i | −0.0876275 | + | 0.383921i | ||||
\(794\) | −15.9792 | + | 20.0372i | −0.567079 | + | 0.711094i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.152436 | + | 0.316537i | −0.00540295 | + | 0.0112193i | ||||
\(797\) | −5.89005 | − | 25.8060i | −0.208636 | − | 0.914095i | −0.965475 | − | 0.260494i | \(-0.916115\pi\) |
0.756839 | − | 0.653601i | \(-0.226743\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.36452 | + | 36.6474i | −0.295916 | + | 1.29649i | ||||
\(800\) | 22.2068 | + | 17.7093i | 0.785129 | + | 0.626120i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −11.3264 | −0.399948 | ||||||||
\(803\) | 45.5602 | 1.60778 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0507574 | − | 1.09440i | 0.00178896 | − | 0.0385726i | ||||
\(806\) | 10.1548 | + | 21.0866i | 0.357687 | + | 0.742745i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −12.4148 | − | 2.83359i | −0.436751 | − | 0.0996855i | ||||
\(809\) | −37.8226 | − | 8.63276i | −1.32977 | − | 0.303512i | −0.502141 | − | 0.864786i | \(-0.667454\pi\) |
−0.827630 | + | 0.561274i | \(0.810311\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −13.6624 | − | 28.3702i | −0.479751 | − | 0.996213i | −0.990632 | − | 0.136561i | \(-0.956395\pi\) |
0.510881 | − | 0.859652i | \(-0.329319\pi\) | |||||||
\(812\) | −8.34393 | − | 19.6011i | −0.292815 | − | 0.687862i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 24.3025 | 0.851801 | ||||||||
\(815\) | −0.691773 | −0.0242317 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.70063 | + | 3.74863i | 0.164454 | + | 0.131148i | ||||
\(818\) | −7.53899 | + | 33.0305i | −0.263595 | + | 1.15488i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.0150136 | − | 0.0657789i | −0.000524298 | − | 0.00229710i | ||||
\(821\) | 19.9376 | − | 41.4008i | 0.695826 | − | 1.44490i | −0.190430 | − | 0.981701i | \(-0.560988\pi\) |
0.886256 | − | 0.463196i | \(-0.153297\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 12.9117 | − | 16.1908i | 0.450074 | − | 0.564376i | −0.504093 | − | 0.863650i | \(-0.668173\pi\) |
0.954167 | + | 0.299274i | \(0.0967445\pi\) | |||||||
\(824\) | −5.27615 | + | 23.1163i | −0.183803 | + | 0.805295i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.696460 | + | 15.0167i | −0.0242330 | + | 0.522498i | ||||
\(827\) | −4.31401 | − | 3.44030i | −0.150013 | − | 0.119631i | 0.545608 | − | 0.838041i | \(-0.316299\pi\) |
−0.695620 | + | 0.718410i | \(0.744870\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.80709 | + | 16.2116i | 0.271152 | + | 0.563052i | 0.991431 | − | 0.130632i | \(-0.0417007\pi\) |
−0.720279 | + | 0.693684i | \(0.755986\pi\) | |||||||
\(830\) | −0.0882160 | + | 0.0703499i | −0.00306202 | + | 0.00244188i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 22.6180i | 0.784137i | ||||||||
\(833\) | −18.3735 | + | 6.83431i | −0.636605 | + | 0.236795i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.325721 | + | 1.42708i | 0.0112721 | + | 0.0493861i | ||||
\(836\) | 10.8193 | + | 13.5670i | 0.374193 | + | 0.469223i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −25.4783 | + | 20.3182i | −0.880132 | + | 0.701882i | ||||
\(839\) | −3.36402 | + | 4.21834i | −0.116139 | + | 0.145633i | −0.836503 | − | 0.547963i | \(-0.815403\pi\) |
0.720364 | + | 0.693596i | \(0.243975\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.74929 | − | 9.71731i | −0.267217 | − | 0.335079i | ||||
\(842\) | −26.8306 | − | 6.12390i | −0.924643 | − | 0.211044i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.23828 | − | 14.1878i | −0.111466 | − | 0.488365i | ||||
\(845\) | −0.518854 | − | 0.249867i | −0.0178491 | − | 0.00859569i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.02999 | + | 2.31665i | −0.0697514 | + | 0.0796010i | ||||
\(848\) | 0.434479 | + | 0.0991671i | 0.0149201 | + | 0.00340541i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 5.25411 | − | 10.9103i | 0.180215 | − | 0.374220i | ||||
\(851\) | 54.0001i | 1.85110i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.13459 | + | 14.8151i | −0.244284 | + | 0.507260i | −0.986674 | − | 0.162707i | \(-0.947978\pi\) |
0.742391 | + | 0.669967i | \(0.233692\pi\) | |||||||
\(854\) | −0.951785 | − | 5.28889i | −0.0325694 | − | 0.180982i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −22.5095 | + | 10.8400i | −0.769359 | + | 0.370504i | ||||
\(857\) | 8.82414 | − | 38.6611i | 0.301427 | − | 1.32064i | −0.566548 | − | 0.824029i | \(-0.691721\pi\) |
0.867975 | − | 0.496609i | \(-0.165422\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.27523 | + | 6.80109i | 0.111749 | + | 0.232050i | 0.949342 | − | 0.314246i | \(-0.101752\pi\) |
−0.837592 | + | 0.546296i | \(0.816037\pi\) | |||||||
\(860\) | −0.105188 | + | 0.0506558i | −0.00358688 | + | 0.00172735i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 9.60853 | + | 4.62722i | 0.327268 | + | 0.157604i | ||||
\(863\) | 14.9631i | 0.509351i | 0.967027 | + | 0.254675i | \(0.0819686\pi\) | ||||
−0.967027 | + | 0.254675i | \(0.918031\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.272876 | + | 0.131410i | 0.00927807 | + | 0.00446808i | ||||
\(866\) | −20.1909 | + | 25.3186i | −0.686116 | + | 0.860362i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 14.2460 | + | 12.4832i | 0.483539 | + | 0.423707i | ||||
\(869\) | −22.9960 | + | 5.24868i | −0.780086 | + | 0.178049i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 31.9131 | − | 7.28395i | 1.08133 | − | 0.246807i | ||||
\(872\) | −16.4922 | − | 13.1521i | −0.558497 | − | 0.445386i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 18.0506 | − | 14.3948i | 0.610570 | − | 0.486913i | ||||
\(875\) | 1.07610 | − | 1.22805i | 0.0363787 | − | 0.0415158i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.8428 | + | 14.8503i | 0.399901 | + | 0.501460i | 0.940488 | − | 0.339828i | \(-0.110369\pi\) |
−0.540586 | + | 0.841289i | \(0.681798\pi\) | |||||||
\(878\) | 22.2546 | − | 10.7173i | 0.751057 | − | 0.361690i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.0140249 | + | 0.00320109i | −0.000472778 | + | 0.000107909i | ||||
\(881\) | 7.79930 | 0.262765 | 0.131382 | − | 0.991332i | \(-0.458058\pi\) | ||||
0.131382 | + | 0.991332i | \(0.458058\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 14.9421 | 0.502842 | 0.251421 | − | 0.967878i | \(-0.419102\pi\) | ||||
0.251421 | + | 0.967878i | \(0.419102\pi\) | |||||||
\(884\) | −16.1388 | + | 3.68358i | −0.542808 | + | 0.123892i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 27.7271 | − | 13.3527i | 0.931511 | − | 0.448592i | ||||
\(887\) | −12.3392 | − | 15.4728i | −0.414308 | − | 0.519526i | 0.530263 | − | 0.847833i | \(-0.322093\pi\) |
−0.944571 | + | 0.328307i | \(0.893522\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11.3061 | + | 0.524365i | 0.379194 | + | 0.0175866i | ||||
\(890\) | −0.479231 | + | 0.382174i | −0.0160639 | + | 0.0128105i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 23.2261 | + | 18.5222i | 0.777666 | + | 0.620168i | ||||
\(893\) | −52.0467 | + | 11.8793i | −1.74168 | + | 0.397526i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.372169 | + | 0.0849451i | −0.0124402 | + | 0.00283940i | ||||
\(896\) | 7.48960 | + | 17.5941i | 0.250210 | + | 0.587778i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 20.1576 | − | 25.2768i | 0.672667 | − | 0.843497i | ||||
\(899\) | 33.1881 | + | 15.9826i | 1.10689 | + | 0.533048i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 18.6810i | − | 0.622356i | ||||||
\(902\) | 2.37587 | + | 1.14416i | 0.0791077 | + | 0.0380962i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 45.6978 | − | 22.0069i | 1.51989 | − | 0.731939i | ||||
\(905\) | −0.198844 | − | 0.412903i | −0.00660979 | − | 0.0137254i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.74119 | − | 16.3912i | 0.124224 | − | 0.544262i | −0.874066 | − | 0.485808i | \(-0.838526\pi\) |
0.998290 | − | 0.0584547i | \(-0.0186173\pi\) | |||||||
\(908\) | −3.97037 | + | 1.91203i | −0.131761 | + | 0.0634529i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.667289 | + | 0.0309482i | 0.0221204 | + | 0.00102592i | ||||
\(911\) | −7.06895 | + | 14.6788i | −0.234205 | + | 0.486331i | −0.984636 | − | 0.174617i | \(-0.944131\pi\) |
0.750432 | + | 0.660948i | \(0.229846\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.36491i | 0.243743i | ||||||||
\(914\) | −4.60795 | + | 9.56850i | −0.152417 | + | 0.316498i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.7607 | + | 2.68430i | 0.388584 | + | 0.0886918i | ||||
\(917\) | −13.3914 | + | 48.2468i | −0.442224 | + | 1.59325i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −32.3318 | − | 15.5702i | −1.06653 | − | 0.513612i | −0.183541 | − | 0.983012i | \(-0.558756\pi\) |
−0.882985 | + | 0.469400i | \(0.844470\pi\) | |||||||
\(920\) | 0.259257 | + | 1.13588i | 0.00854745 | + | 0.0374488i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −32.3923 | − | 7.39334i | −1.06679 | − | 0.243487i | ||||
\(923\) | 12.7423 | + | 15.9784i | 0.419419 | + | 0.525935i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −25.0797 | + | 31.4490i | −0.824617 | + | 1.03404i | ||||
\(926\) | 3.68047 | − | 2.93508i | 0.120948 | − | 0.0964527i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 22.8147 | + | 28.6088i | 0.748930 | + | 0.939129i | ||||
\(929\) | 0.313570 | + | 1.37384i | 0.0102879 | + | 0.0450743i | 0.979811 | − | 0.199924i | \(-0.0640696\pi\) |
−0.969523 | + | 0.244999i | \(0.921212\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −20.0667 | − | 19.2987i | −0.657661 | − | 0.632489i | ||||
\(932\) | 28.3559i | 0.928829i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 19.8495 | − | 15.8294i | 0.649495 | − | 0.517955i | ||||
\(935\) | 0.261640 | + | 0.543301i | 0.00855655 | + | 0.0177679i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8.85736 | + | 7.06351i | 0.289357 | + | 0.230755i | 0.757400 | − | 0.652951i | \(-0.226469\pi\) |
−0.468043 | + | 0.883706i | \(0.655041\pi\) | |||||||
\(938\) | −12.8468 | + | 9.30500i | −0.419463 | + | 0.303819i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.230677 | − | 1.01066i | 0.00752386 | − | 0.0329642i | ||||
\(941\) | 1.36612 | − | 1.71307i | 0.0445344 | − | 0.0558443i | −0.759066 | − | 0.651014i | \(-0.774344\pi\) |
0.803600 | + | 0.595170i | \(0.202915\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.54232 | + | 5.27918i | −0.0827893 | + | 0.171914i | ||||
\(944\) | 0.0975975 | + | 0.427603i | 0.00317653 | + | 0.0139173i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.01537 | − | 4.44863i | 0.0330126 | − | 0.144637i | ||||
\(947\) | 41.5779 | + | 33.1573i | 1.35110 | + | 1.07747i | 0.989407 | + | 0.145170i | \(0.0463730\pi\) |
0.361694 | + | 0.932297i | \(0.382198\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −61.7258 | −2.00370 | ||||||||
\(950\) | 17.1980 | 0.557975 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 16.8837 | − | 12.2289i | 0.547203 | − | 0.396342i | ||||
\(953\) | −22.5658 | − | 46.8584i | −0.730979 | − | 1.51789i | −0.851025 | − | 0.525124i | \(-0.824019\pi\) |
0.120047 | − | 0.992768i | \(-0.461695\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.312072 | − | 0.0712284i | −0.0100984 | − | 0.00230490i | ||||
\(956\) | −0.666145 | − | 0.152043i | −0.0215447 | − | 0.00491743i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −11.3756 | − | 23.6217i | −0.367529 | − | 0.763182i | ||||
\(959\) | −20.3365 | − | 5.64461i | −0.656699 | − | 0.182274i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.75234 | −0.0565270 | ||||||||
\(962\) | −32.9254 | −1.06156 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 11.2148 | + | 8.94352i | 0.361205 | + | 0.288051i | ||||
\(965\) | −0.0746969 | + | 0.327269i | −0.00240458 | + | 0.0105351i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 11.2247 | + | 49.1785i | 0.360961 | + | 1.58147i | 0.750761 | + | 0.660573i | \(0.229687\pi\) |
−0.389801 | + | 0.920899i | \(0.627456\pi\) | |||||||
\(968\) | 1.42125 | − | 2.95125i | 0.0456807 | − | 0.0948569i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.636004 | + | 0.797524i | −0.0204209 | + | 0.0256070i | ||||
\(971\) | 0.427755 | − | 1.87412i | 0.0137273 | − | 0.0601432i | −0.967600 | − | 0.252487i | \(-0.918752\pi\) |
0.981328 | + | 0.192343i | \(0.0616088\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 22.3900 | − | 41.4618i | 0.717790 | − | 1.32920i | ||||
\(974\) | −10.2770 | − | 8.19567i | −0.329298 | − | 0.262606i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.0680276 | − | 0.141261i | −0.00217751 | − | 0.00452165i | ||||
\(977\) | 43.4478 | − | 34.6484i | 1.39002 | − | 1.10850i | 0.409447 | − | 0.912334i | \(-0.365722\pi\) |
0.980570 | − | 0.196167i | \(-0.0628496\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 40.0097i | 1.27872i | ||||||||
\(980\) | 0.506706 | − | 0.188477i | 0.0161861 | − | 0.00602068i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 4.24029 | + | 18.5779i | 0.135313 | + | 0.592845i | ||||
\(983\) | −2.18098 | − | 2.73487i | −0.0695625 | − | 0.0872287i | 0.745833 | − | 0.666133i | \(-0.232052\pi\) |
−0.815395 | + | 0.578905i | \(0.803480\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.09503 | + | 0.873259i | −0.0348906 | + | 0.0278243i | ||||
\(986\) | 9.72676 | − | 12.1970i | 0.309763 | − | 0.388431i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −14.6582 | − | 18.3808i | −0.466338 | − | 0.584770i | ||||
\(989\) | 9.88487 | + | 2.25616i | 0.314320 | + | 0.0717416i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 10.8346 | + | 47.4696i | 0.344173 | + | 1.50792i | 0.790170 | + | 0.612887i | \(0.209992\pi\) |
−0.445997 | + | 0.895034i | \(0.647151\pi\) | |||||||
\(992\) | −29.3133 | − | 14.1166i | −0.930699 | − | 0.448201i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8.71429 | − | 4.70585i | −0.276401 | − | 0.149260i | ||||
\(995\) | −0.0169044 | − | 0.00385831i | −0.000535905 | − | 0.000122317i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.50166 | − | 5.19474i | 0.0792282 | − | 0.164519i | −0.857592 | − | 0.514331i | \(-0.828040\pi\) |
0.936820 | + | 0.349812i | \(0.113755\pi\) | |||||||
\(998\) | 35.4294i | 1.12150i | ||||||||
\(999\) | 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 | 441.2.w.a.62.8 | ✓ | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.62.13 | yes | 120 | |
49.34 | odd | 14 | inner | 441.2.w.a.377.13 | yes | 120 | |
147.83 | even | 14 | inner | 441.2.w.a.377.8 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.62.8 | ✓ | 120 | 1.1 | even | 1 | trivial | |
441.2.w.a.62.13 | yes | 120 | 3.2 | odd | 2 | inner | |
441.2.w.a.377.8 | yes | 120 | 147.83 | even | 14 | inner | |
441.2.w.a.377.13 | yes | 120 | 49.34 | odd | 14 | inner |