Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(17,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.x (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 77.10 | ||
Character | \(\chi\) | \(=\) | 300.77 |
Dual form | 300.2.x.a.113.10 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{20}\right)\) |
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 | 0 | ||||||||
\(3\) | 1.71709 | + | 0.227126i | 0.991365 | + | 0.131131i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.0496546 | + | 2.23552i | −0.0222062 | + | 0.999753i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.02060 | − | 2.02060i | −0.763714 | − | 0.763714i | 0.213278 | − | 0.976992i | \(-0.431586\pi\) |
−0.976992 | + | 0.213278i | \(0.931586\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.89683 | + | 0.779992i | 0.965609 | + | 0.259997i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.82802 | + | 3.89243i | 0.852679 | + | 1.17361i | 0.983266 | + | 0.182175i | \(0.0583137\pi\) |
−0.130587 | + | 0.991437i | \(0.541686\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.74634 | − | 0.910130i | 1.59375 | − | 0.252425i | 0.704450 | − | 0.709754i | \(-0.251194\pi\) |
0.889297 | + | 0.457329i | \(0.151194\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.593005 | + | 3.82732i | −0.153113 | + | 0.988209i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.36348 | − | 0.694729i | −0.330693 | − | 0.168497i | 0.280758 | − | 0.959778i | \(-0.409414\pi\) |
−0.611451 | + | 0.791282i | \(0.709414\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.53381 | + | 1.14820i | −0.810711 | + | 0.263416i | −0.684899 | − | 0.728638i | \(-0.740154\pi\) |
−0.125812 | + | 0.992054i | \(0.540154\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.01063 | − | 3.92848i | −0.656972 | − | 0.857265i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.52651 | − | 0.400161i | −0.526815 | − | 0.0834393i | −0.112639 | − | 0.993636i | \(-0.535930\pi\) |
−0.414176 | + | 0.910197i | \(0.635930\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.99507 | − | 0.222007i | −0.999014 | − | 0.0444015i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.79697 | + | 1.99726i | 0.923178 | + | 0.384374i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.0334412 | + | 0.102921i | −0.00620988 | + | 0.0191120i | −0.954113 | − | 0.299445i | \(-0.903198\pi\) |
0.947904 | + | 0.318557i | \(0.103198\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.13145 | − | 9.63760i | −0.562425 | − | 1.73096i | −0.675482 | − | 0.737376i | \(-0.736064\pi\) |
0.113058 | − | 0.993588i | \(-0.463936\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.97190 | + | 7.32598i | 0.691419 | + | 1.27529i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.61741 | − | 4.41674i | 0.780484 | − | 0.746566i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.418876 | − | 2.64468i | −0.0688628 | − | 0.434782i | −0.997899 | − | 0.0647929i | \(-0.979361\pi\) |
0.929036 | − | 0.369989i | \(-0.120639\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 10.0737 | − | 0.257640i | 1.61309 | − | 0.0412554i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.26109 | + | 3.11213i | −0.353123 | + | 0.486032i | −0.948217 | − | 0.317624i | \(-0.897115\pi\) |
0.595093 | + | 0.803656i | \(0.297115\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.86113 | + | 1.86113i | −0.283820 | + | 0.283820i | −0.834631 | − | 0.550810i | \(-0.814319\pi\) |
0.550810 | + | 0.834631i | \(0.314319\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.88753 | + | 6.43718i | −0.281376 | + | 0.959598i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.48724 | − | 8.80670i | −0.654531 | − | 1.28459i | −0.944801 | − | 0.327644i | \(-0.893745\pi\) |
0.290271 | − | 0.956945i | \(-0.406255\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.16562i | 0.166517i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.18344 | − | 1.50260i | −0.305742 | − | 0.210406i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 9.81020 | − | 4.99855i | 1.34754 | − | 0.686604i | 0.376696 | − | 0.926337i | \(-0.377060\pi\) |
0.970839 | + | 0.239733i | \(0.0770600\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.84201 | + | 6.12880i | −1.19226 | + | 0.826407i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.32867 | + | 1.16896i | −0.838253 | + | 0.154832i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.210836 | − | 0.153181i | −0.0274485 | − | 0.0199425i | 0.573976 | − | 0.818872i | \(-0.305400\pi\) |
−0.601425 | + | 0.798929i | \(0.705400\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.36920 | + | 3.17441i | −0.559418 | + | 0.406441i | −0.831246 | − | 0.555905i | \(-0.812372\pi\) |
0.271828 | + | 0.962346i | \(0.412372\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.27727 | − | 7.42937i | −0.538885 | − | 0.936012i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.74928 | + | 12.8912i | 0.216971 | + | 1.59896i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.74449 | − | 3.42375i | 0.213123 | − | 0.418278i | −0.759552 | − | 0.650446i | \(-0.774582\pi\) |
0.972676 | + | 0.232168i | \(0.0745819\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.24738 | − | 1.26095i | −0.511324 | − | 0.151801i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −14.1996 | − | 4.61373i | −1.68518 | − | 0.547549i | −0.699277 | − | 0.714851i | \(-0.746495\pi\) |
−0.985906 | + | 0.167302i | \(0.946495\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.320861 | + | 2.02584i | −0.0375539 | + | 0.237106i | −0.999324 | − | 0.0367504i | \(-0.988299\pi\) |
0.961771 | + | 0.273857i | \(0.0882993\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −8.52658 | − | 1.51572i | −0.984565 | − | 0.175020i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.15075 | − | 13.5793i | 0.245101 | − | 1.54751i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.17124 | + | 2.65500i | 0.919337 | + | 0.298711i | 0.730195 | − | 0.683239i | \(-0.239429\pi\) |
0.189142 | + | 0.981950i | \(0.439429\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.78322 | + | 4.51901i | 0.864803 | + | 0.502112i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.16454 | − | 6.21076i | 0.347353 | − | 0.681719i | −0.649553 | − | 0.760316i | \(-0.725044\pi\) |
0.996906 | + | 0.0785968i | \(0.0250440\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.62078 | − | 3.01359i | 0.175798 | − | 0.326870i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.0807978 | + | 0.169131i | −0.00866243 | + | 0.0181327i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.84520 | + | 2.79370i | −0.407590 | + | 0.296132i | −0.772625 | − | 0.634862i | \(-0.781057\pi\) |
0.365035 | + | 0.930994i | \(0.381057\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −13.4500 | − | 9.77202i | −1.40995 | − | 1.02439i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.18805 | − | 17.2599i | −0.330585 | − | 1.78977i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.39136 | − | 7.95690i | −0.245348 | − | 0.816361i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 14.9764 | − | 7.63086i | 1.52062 | − | 0.774797i | 0.523606 | − | 0.851961i | \(-0.324587\pi\) |
0.997018 | + | 0.0771640i | \(0.0245865\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.15621 | + | 13.4815i | 0.518219 | + | 1.35494i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 17.3569i | 1.72707i | 0.504288 | + | 0.863536i | \(0.331755\pi\) | ||||
−0.504288 | + | 0.863536i | \(0.668245\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.15137 | − | 4.22231i | −0.211981 | − | 0.416036i | 0.760393 | − | 0.649463i | \(-0.225006\pi\) |
−0.972374 | + | 0.233426i | \(0.925006\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.93168 | − | 6.53524i | 0.871643 | − | 0.637774i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −12.4265 | + | 12.4265i | −1.20132 | + | 1.20132i | −0.227550 | + | 0.973766i | \(0.573072\pi\) |
−0.973766 | + | 0.227550i | \(0.926928\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.0321 | + | 13.8080i | −0.960904 | + | 1.32257i | −0.0143943 | + | 0.999896i | \(0.504582\pi\) |
−0.946510 | + | 0.322675i | \(0.895418\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.118576 | − | 4.63630i | −0.0112547 | − | 0.440058i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.324731 | + | 2.05027i | 0.0305481 | + | 0.192873i | 0.998243 | − | 0.0592504i | \(-0.0188710\pi\) |
−0.967695 | + | 0.252124i | \(0.918871\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.02002 | − | 5.62820i | 0.0951172 | − | 0.524832i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 17.3560 | + | 1.84561i | 1.60457 | + | 0.170626i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.35128 | + | 4.15881i | 0.123872 | + | 0.381238i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.75415 | + | 11.5541i | −0.341286 | + | 1.05037i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.58935 | + | 4.83026i | −0.413808 | + | 0.435530i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.744329 | − | 11.1555i | 0.0665748 | − | 0.997781i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.50225 | − | 0.237933i | −0.133303 | − | 0.0211132i | 0.0894262 | − | 0.995993i | \(-0.471497\pi\) |
−0.222729 | + | 0.974880i | \(0.571497\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −3.61846 | + | 2.77303i | −0.318587 | + | 0.244152i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.58648 | − | 1.81516i | 0.488093 | − | 0.158591i | −0.0546233 | − | 0.998507i | \(-0.517396\pi\) |
0.542717 | + | 0.839916i | \(0.317396\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.46045 | + | 4.82034i | 0.820325 | + | 0.417977i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.70311 | + | 10.6245i | −0.404779 | + | 0.914415i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.72702 | + | 1.38222i | −0.745599 | + | 0.118091i | −0.517663 | − | 0.855585i | \(-0.673198\pi\) |
−0.227936 | + | 0.973676i | \(0.573198\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.77543 | + | 3.82005i | 0.235409 | + | 0.324012i | 0.910335 | − | 0.413873i | \(-0.135824\pi\) |
−0.674926 | + | 0.737886i | \(0.735824\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.70478 | − | 16.1411i | −0.480429 | − | 1.35933i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 19.7933 | + | 19.7933i | 1.65520 | + | 1.65520i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.228422 | − | 0.0798689i | −0.0189694 | − | 0.00663275i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.264741 | + | 2.00148i | −0.0218355 | + | 0.165079i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.98633 | −0.162726 | −0.0813632 | − | 0.996685i | \(-0.525927\pi\) | ||||
−0.0813632 | + | 0.996685i | \(0.525927\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 21.4868 | 1.74857 | 0.874284 | − | 0.485415i | \(-0.161332\pi\) | ||||
0.874284 | + | 0.485415i | \(0.161332\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.40789 | − | 3.07602i | −0.275512 | − | 0.248681i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 21.7005 | − | 6.52185i | 1.74303 | − | 0.523848i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.63307 | + | 7.63307i | 0.609185 | + | 0.609185i | 0.942733 | − | 0.333548i | \(-0.108246\pi\) |
−0.333548 | + | 0.942733i | \(0.608246\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 17.9803 | − | 6.35483i | 1.42593 | − | 0.503971i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.29650 | + | 5.91363i | 0.338612 | + | 0.466059i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.19979 | + | 0.665182i | −0.328953 | + | 0.0521011i | −0.318727 | − | 0.947847i | \(-0.603255\pi\) |
−0.0102264 | + | 0.999948i | \(0.503255\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −16.5746 | + | 8.51548i | −1.29033 | + | 0.662929i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 9.52908 | + | 4.85531i | 0.737383 | + | 0.375715i | 0.781991 | − | 0.623289i | \(-0.214204\pi\) |
−0.0446088 | + | 0.999005i | \(0.514204\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 19.8283 | − | 6.44261i | 1.52525 | − | 0.495585i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.1324 | + | 0.569807i | −0.851318 | + | 0.0435742i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.32976 | − | 0.368997i | −0.177128 | − | 0.0280543i | 0.0672403 | − | 0.997737i | \(-0.478581\pi\) |
−0.244368 | + | 0.969682i | \(0.578581\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.64443 | + | 10.5416i | 0.729050 | + | 0.796870i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.327234 | − | 0.310913i | −0.0245964 | − | 0.0233697i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.36907 | − | 4.21356i | 0.102329 | − | 0.314936i | −0.886765 | − | 0.462220i | \(-0.847053\pi\) |
0.989094 | + | 0.147284i | \(0.0470531\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.45027 | + | 7.54116i | 0.182127 | + | 0.560530i | 0.999887 | − | 0.0150298i | \(-0.00478432\pi\) |
−0.817760 | + | 0.575559i | \(0.804784\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.22331 | + | 4.45840i | −0.607885 | + | 0.329574i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.93302 | − | 0.805083i | 0.436204 | − | 0.0591909i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.15177 | − | 7.27196i | −0.0842254 | − | 0.531779i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −5.65708 | − | 13.7284i | −0.411492 | − | 0.998595i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.93725 | + | 6.79554i | −0.357247 | + | 0.491708i | −0.949379 | − | 0.314133i | \(-0.898286\pi\) |
0.592132 | + | 0.805841i | \(0.298286\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.74578 | − | 9.74578i | 0.701517 | − | 0.701517i | −0.263219 | − | 0.964736i | \(-0.584784\pi\) |
0.964736 | + | 0.263219i | \(0.0847843\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.0757523 | + | 22.5328i | 0.00542473 | + | 1.61360i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −7.05689 | − | 13.8499i | −0.502783 | − | 0.986766i | −0.993325 | − | 0.115349i | \(-0.963201\pi\) |
0.490543 | − | 0.871417i | \(-0.336799\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 10.6381i | − | 0.754117i | −0.926189 | − | 0.377059i | \(-0.876936\pi\) | ||
0.926189 | − | 0.377059i | \(-0.123064\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.77308 | − | 5.48269i | 0.266132 | − | 0.386719i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.275534 | − | 0.140392i | 0.0193387 | − | 0.00985355i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.84494 | − | 5.20924i | −0.478071 | − | 0.363829i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −7.00676 | − | 3.12986i | −0.487003 | − | 0.217540i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −14.4630 | − | 10.5080i | −1.00042 | − | 0.726851i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.87487 | − | 6.44797i | 0.610971 | − | 0.443897i | −0.238785 | − | 0.971072i | \(-0.576749\pi\) |
0.849756 | + | 0.527176i | \(0.176749\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −23.3342 | − | 11.1473i | −1.59883 | − | 0.763801i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4.06818 | − | 4.25301i | −0.277448 | − | 0.290053i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.1463 | + | 25.8011i | −0.892430 | + | 1.75149i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.01107 | + | 3.40568i | −0.0683216 | + | 0.230134i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.46732 | − | 2.75120i | −0.569574 | − | 0.185066i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.83443 | + | 17.8959i | −0.189807 | + | 1.19840i | 0.690265 | + | 0.723557i | \(0.257494\pi\) |
−0.880072 | + | 0.474840i | \(0.842506\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.2967 | − | 4.53923i | −0.953113 | − | 0.302615i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.381413 | + | 2.40815i | −0.0253153 | + | 0.159834i | −0.997107 | − | 0.0760044i | \(-0.975784\pi\) |
0.971792 | + | 0.235839i | \(0.0757837\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.9452 | − | 4.53107i | −0.921524 | − | 0.299421i | −0.190432 | − | 0.981700i | \(-0.560989\pi\) |
−0.731092 | + | 0.682279i | \(0.760989\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.77725 | − | 22.8285i | 0.445910 | − | 1.50200i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −8.99659 | + | 17.6568i | −0.589386 | + | 1.15674i | 0.383085 | + | 0.923713i | \(0.374861\pi\) |
−0.972471 | + | 0.233022i | \(0.925139\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 19.9103 | − | 9.59400i | 1.29881 | − | 0.625843i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 13.4278 | + | 6.41478i | 0.872228 | + | 0.416685i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −18.6744 | + | 13.5678i | −1.20795 | + | 0.877625i | −0.995043 | − | 0.0994482i | \(-0.968292\pi\) |
−0.212904 | + | 0.977073i | \(0.568292\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.99196 | + | 5.80650i | 0.514807 | + | 0.374029i | 0.814644 | − | 0.579961i | \(-0.196932\pi\) |
−0.299837 | + | 0.953990i | \(0.596932\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 12.3382 | + | 9.52733i | 0.791493 | + | 0.611178i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.60576 | − | 0.0578783i | −0.166476 | − | 0.00369771i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −19.2614 | + | 9.81419i | −1.22558 | + | 0.624462i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.84444 | − | 9.94571i | 0.433749 | − | 0.630284i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 16.9633i | 1.07071i | 0.844626 | + | 0.535357i | \(0.179823\pi\) | ||||
−0.844626 | + | 0.535357i | \(0.820177\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.58743 | − | 10.9659i | −0.351278 | − | 0.689423i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 3.46750 | − | 4.80650i | 0.217143 | − | 0.300995i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 17.5417 | − | 17.5417i | 1.09422 | − | 1.09422i | 0.0991458 | − | 0.995073i | \(-0.468389\pi\) |
0.995073 | − | 0.0991458i | \(-0.0316110\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.49745 | + | 6.19020i | −0.279458 | + | 0.384641i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.177151 | + | 0.272062i | −0.0109654 | + | 0.0168402i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.55900 | − | 16.1569i | −0.157795 | − | 0.996277i | −0.931767 | − | 0.363057i | \(-0.881733\pi\) |
0.773972 | − | 0.633220i | \(-0.218267\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.6872 | + | 22.1791i | 0.656511 | + | 1.36245i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.23709 | + | 3.92370i | −0.442903 | + | 0.240127i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −2.50454 | − | 7.70819i | −0.152705 | − | 0.469977i | 0.845216 | − | 0.534424i | \(-0.179472\pi\) |
−0.997921 | + | 0.0644474i | \(0.979472\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.83005 | + | 8.70999i | −0.171913 | + | 0.529094i | −0.999479 | − | 0.0322745i | \(-0.989725\pi\) |
0.827566 | + | 0.561368i | \(0.189725\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −20.8755 | − | 19.8343i | −1.26344 | − | 1.20043i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −13.2620 | − | 20.0708i | −0.799728 | − | 1.21031i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.90301 | − | 0.618177i | −0.234509 | − | 0.0371426i | 0.0380735 | − | 0.999275i | \(-0.487878\pi\) |
−0.272583 | + | 0.962132i | \(0.587878\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.55401 | − | 30.3610i | −0.0930361 | − | 1.81766i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 24.5537 | − | 7.97798i | 1.46475 | − | 0.475926i | 0.535233 | − | 0.844704i | \(-0.320224\pi\) |
0.929517 | + | 0.368778i | \(0.120224\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.20672 | − | 0.614853i | −0.0717319 | − | 0.0365492i | 0.417757 | − | 0.908559i | \(-0.362816\pi\) |
−0.489489 | + | 0.872010i | \(0.662816\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.29897 | − | 14.2059i | −0.136179 | − | 0.841484i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 10.8571 | − | 1.71960i | 0.640875 | − | 0.101505i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.61591 | − | 11.8588i | −0.506818 | − | 0.697576i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 27.4491 | − | 9.70139i | 1.60909 | − | 0.568705i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 9.43835 | + | 9.43835i | 0.551395 | + | 0.551395i | 0.926843 | − | 0.375449i | \(-0.122511\pi\) |
−0.375449 | + | 0.926843i | \(0.622511\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.352909 | − | 0.463722i | 0.0205471 | − | 0.0269989i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 5.79170 | + | 24.3202i | 0.336069 | + | 1.41120i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −14.8824 | −0.860672 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.52120 | 0.433515 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −3.94218 | + | 29.8034i | −0.226473 | + | 1.71216i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.87949 | − | 9.92503i | −0.393918 | − | 0.568306i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.42497 | − | 9.42497i | −0.537911 | − | 0.537911i | 0.385004 | − | 0.922915i | \(-0.374200\pi\) |
−0.922915 | + | 0.385004i | \(0.874200\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.73512 | − | 7.73874i | −0.155595 | − | 0.440241i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 7.79335 | + | 10.7266i | 0.441920 | + | 0.608251i | 0.970637 | − | 0.240547i | \(-0.0773269\pi\) |
−0.528717 | + | 0.848798i | \(0.677327\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.0874904 | − | 0.0138571i | 0.00494525 | − | 0.000783251i | −0.153961 | − | 0.988077i | \(-0.549203\pi\) |
0.158907 | + | 0.987294i | \(0.449203\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 16.8209 | − | 9.19301i | 0.947748 | − | 0.517967i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −25.7112 | − | 13.1005i | −1.44409 | − | 0.735799i | −0.456041 | − | 0.889959i | \(-0.650733\pi\) |
−0.988046 | + | 0.154160i | \(0.950733\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.495187 | + | 0.160896i | −0.0277251 | + | 0.00900844i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −24.1599 | + | 18.5151i | −1.34847 | + | 1.03341i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.61597 | + | 0.889483i | 0.312481 | + | 0.0494922i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −28.9054 | + | 3.27043i | −1.60338 | + | 0.181411i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −20.3623 | + | 21.4312i | −1.12604 | + | 1.18515i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −8.72788 | + | 26.8617i | −0.481184 | + | 1.48093i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.58196 | + | 4.86878i | 0.0869525 | + | 0.267612i | 0.985073 | − | 0.172137i | \(-0.0550672\pi\) |
−0.898120 | + | 0.439750i | \(0.855067\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.849417 | − | 7.98790i | 0.0465477 | − | 0.437734i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 7.56724 | + | 4.06984i | 0.413442 | + | 0.222359i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.34521 | + | 14.8070i | 0.127752 | + | 0.806591i | 0.965475 | + | 0.260496i | \(0.0838862\pi\) |
−0.837723 | + | 0.546095i | \(0.816114\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.0919250 | + | 3.59426i | 0.00499268 | + | 0.195214i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 28.6579 | − | 39.4442i | 1.55191 | − | 2.13602i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −11.7889 | + | 11.7889i | −0.636542 | + | 0.636542i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 3.02978 | − | 9.43247i | 0.163118 | − | 0.507827i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 4.06670 | + | 7.98136i | 0.218312 | + | 0.428462i | 0.974025 | − | 0.226442i | \(-0.0727093\pi\) |
−0.755713 | + | 0.654903i | \(0.772709\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 31.6418i | − | 1.69375i | −0.531793 | − | 0.846874i | \(-0.678482\pi\) | ||
0.531793 | − | 0.846874i | \(-0.321518\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 29.3828 | + | 7.11108i | 1.56834 | + | 0.379561i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 16.4179 | − | 8.36532i | 0.873834 | − | 0.445241i | 0.0412563 | − | 0.999149i | \(-0.486864\pi\) |
0.832578 | + | 0.553908i | \(0.186864\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.0191 | − | 31.5144i | 0.584836 | − | 1.67261i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.37570 | + | 7.44799i | 0.0728100 | + | 0.394189i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −3.85147 | − | 2.79826i | −0.203273 | − | 0.147686i | 0.481492 | − | 0.876450i | \(-0.340095\pi\) |
−0.684765 | + | 0.728764i | \(0.740095\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.20190 | + | 3.05286i | −0.221153 | + | 0.160677i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −9.07045 | + | 18.9868i | −0.476075 | + | 0.996547i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.51286 | − | 0.817882i | −0.236214 | − | 0.0428099i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.16114 | − | 4.24147i | 0.112810 | − | 0.221403i | −0.827698 | − | 0.561174i | \(-0.810350\pi\) |
0.940508 | + | 0.339771i | \(0.110350\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −8.97743 | + | 7.25166i | −0.467346 | + | 0.377506i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −29.9225 | − | 9.72241i | −1.55350 | − | 0.504763i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.54113 | + | 22.3578i | −0.183353 | + | 1.15765i | 0.708631 | + | 0.705579i | \(0.249313\pi\) |
−0.891984 | + | 0.452066i | \(0.850687\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 3.81179 | − | 18.9861i | 0.196840 | − | 0.980436i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.0984925 | + | 0.621857i | −0.00507262 | + | 0.0320273i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.26244 | − | 0.735112i | −0.116214 | − | 0.0377601i | 0.250333 | − | 0.968160i | \(-0.419460\pi\) |
−0.366547 | + | 0.930400i | \(0.619460\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.52547 | − | 0.749754i | −0.129384 | − | 0.0384110i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −13.1453 | + | 25.7992i | −0.671696 | + | 1.31828i | 0.263676 | + | 0.964611i | \(0.415065\pi\) |
−0.935372 | + | 0.353666i | \(0.884935\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 30.2500 | + | 5.48231i | 1.54168 | + | 0.279405i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −6.84306 | + | 3.93972i | −0.347852 | + | 0.200267i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 15.3567 | − | 11.1573i | 0.778614 | − | 0.565697i | −0.125948 | − | 0.992037i | \(-0.540197\pi\) |
0.904563 | + | 0.426340i | \(0.140197\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.16685 | + | 2.30085i | 0.160155 | + | 0.116359i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 10.0048 | − | 1.84797i | 0.504675 | − | 0.0932175i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.34103 | + | 18.1351i | −0.319052 | + | 0.912477i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.51760 | + | 0.773254i | −0.0761660 | + | 0.0388085i | −0.491659 | − | 0.870788i | \(-0.663609\pi\) |
0.415493 | + | 0.909597i | \(0.363609\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 15.1497 | + | 10.4257i | 0.758432 | + | 0.521937i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 35.0603i | 1.75083i | 0.483376 | + | 0.875413i | \(0.339411\pi\) | ||||
−0.483376 | + | 0.875413i | \(0.660589\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −26.7658 | − | 52.5309i | −1.33330 | − | 2.61675i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −10.4888 | + | 17.1751i | −0.521192 | + | 0.853439i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.10963 | − | 9.10963i | 0.451548 | − | 0.451548i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 18.8051 | − | 25.8830i | 0.929853 | − | 1.27983i | −0.0300633 | − | 0.999548i | \(-0.509571\pi\) |
0.959917 | − | 0.280285i | \(-0.0904291\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −15.2991 | + | 0.391281i | −0.754647 | + | 0.0193004i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.116497 | + | 0.735533i | 0.00573244 | + | 0.0361932i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 13.7271 | + | 7.38277i | 0.673838 | + | 0.362406i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3.89804 | + | 7.18976i | 0.190888 | + | 0.352084i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 2.91963 | + | 8.98569i | 0.142633 | + | 0.438980i | 0.996699 | − | 0.0811851i | \(-0.0258705\pi\) |
−0.854066 | + | 0.520165i | \(0.825870\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.74189 | + | 5.36098i | −0.0848945 | + | 0.261278i | −0.984489 | − | 0.175449i | \(-0.943862\pi\) |
0.899594 | + | 0.436727i | \(0.143862\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −6.12960 | − | 29.0115i | −0.298031 | − | 1.41059i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.65645 | + | 3.77292i | 0.322885 | + | 0.183014i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 15.2426 | + | 2.41419i | 0.737640 | + | 0.116831i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 29.4915 | + | 38.4826i | 1.42386 | + | 1.85796i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −11.7037 | + | 3.80275i | −0.563745 | + | 0.183172i | −0.577006 | − | 0.816740i | \(-0.695779\pi\) |
0.0132603 | + | 0.999912i | \(0.495779\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −26.3686 | − | 13.4355i | −1.26719 | − | 0.645667i | −0.314400 | − | 0.949291i | \(-0.601803\pi\) |
−0.952792 | + | 0.303624i | \(0.901803\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.374082 | − | 0.189023i | −0.0179359 | − | 0.00906296i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 9.38768 | − | 1.48686i | 0.449074 | − | 0.0711263i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.9368 | + | 15.0532i | 0.521984 | + | 0.718449i | 0.985882 | − | 0.167439i | \(-0.0535497\pi\) |
−0.463898 | + | 0.885888i | \(0.653550\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.909172 | + | 3.37659i | −0.0432939 | + | 0.160790i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.48265 | − | 1.48265i | −0.0704427 | − | 0.0704427i | 0.671008 | − | 0.741450i | \(-0.265862\pi\) |
−0.741450 | + | 0.671008i | \(0.765862\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.05443 | − | 8.73472i | −0.287007 | − | 0.414066i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.41071 | − | 0.451146i | −0.161321 | − | 0.0213385i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −33.3934 | −1.57593 | −0.787967 | − | 0.615718i | \(-0.788866\pi\) | ||||
−0.787967 | + | 0.615718i | \(0.788866\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −18.5081 | −0.871514 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 36.8948 | + | 4.88019i | 1.73347 | + | 0.229291i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 22.5134 | − | 29.5825i | 1.05544 | − | 1.38685i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 14.4358 | + | 14.4358i | 0.675278 | + | 0.675278i | 0.958928 | − | 0.283650i | \(-0.0915453\pi\) |
−0.283650 | + | 0.958928i | \(0.591545\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −5.15303 | − | 6.05583i | −0.240523 | − | 0.282662i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.12640 | − | 1.55036i | −0.0524617 | − | 0.0722073i | 0.781980 | − | 0.623303i | \(-0.214210\pi\) |
−0.834442 | + | 0.551096i | \(0.814210\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.40651 | + | 0.381153i | −0.111840 | + | 0.0177137i | −0.212103 | − | 0.977247i | \(-0.568031\pi\) |
0.100264 | + | 0.994961i | \(0.468031\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 38.7431 | − | 6.26989i | 1.79667 | − | 0.290759i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 13.9849 | + | 7.12568i | 0.647146 | + | 0.329737i | 0.746569 | − | 0.665308i | \(-0.231700\pi\) |
−0.0994231 | + | 0.995045i | \(0.531700\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.4429 | + | 3.39312i | −0.482210 | + | 0.156680i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.3730 | + | 14.8404i | 0.524042 | + | 0.683808i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −12.5077 | − | 1.98102i | −0.575102 | − | 0.0910873i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 17.9065 | − | 4.95082i | 0.821607 | − | 0.227159i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 32.3173 | − | 6.82805i | 1.47971 | − | 0.312635i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.70860 | − | 11.4139i | 0.169450 | − | 0.521514i | −0.829886 | − | 0.557932i | \(-0.811595\pi\) |
0.999337 | + | 0.0364182i | \(0.0115948\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.81400 | − | 14.8160i | −0.219500 | − | 0.675550i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.03437 | + | 11.1301i | 0.274573 | + | 0.506437i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 16.3153 | + | 33.8589i | 0.740838 | + | 1.53745i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.279897 | + | 1.76720i | 0.0126833 | + | 0.0800794i | 0.993218 | − | 0.116266i | \(-0.0370926\pi\) |
−0.980535 | + | 0.196346i | \(0.937093\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −7.36252 | + | 0.188300i | −0.332945 | + | 0.00851522i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.20544 | − | 4.41191i | 0.144660 | − | 0.199107i | −0.730539 | − | 0.682871i | \(-0.760731\pi\) |
0.875198 | + | 0.483765i | \(0.160731\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.117099 | − | 0.117099i | 0.00527387 | − | 0.00527387i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −30.3942 | + | 10.8574i | −1.36612 | + | 0.488003i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 19.3692 | + | 38.0141i | 0.868826 | + | 1.70517i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 15.8865i | 0.711177i | 0.934643 | + | 0.355588i | \(0.115719\pi\) | ||||
−0.934643 | + | 0.355588i | \(0.884281\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 15.2596 | + | 10.5013i | 0.681747 | + | 0.469165i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 12.2021 | − | 6.21728i | 0.544065 | − | 0.277215i | −0.160282 | − | 0.987071i | \(-0.551240\pi\) |
0.704346 | + | 0.709857i | \(0.251240\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −38.8015 | − | 0.861848i | −1.72665 | − | 0.0383517i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 35.5104 | − | 6.55905i | 1.57707 | − | 0.291298i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 14.7649 | + | 10.7273i | 0.654441 | + | 0.475479i | 0.864781 | − | 0.502149i | \(-0.167457\pi\) |
−0.210340 | + | 0.977628i | \(0.567457\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.74173 | − | 3.44507i | 0.209762 | − | 0.152401i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −19.2448 | − | 1.55005i | −0.849680 | − | 0.0684362i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 9.54587 | − | 4.59978i | 0.420641 | − | 0.202690i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 21.5895 | − | 42.3717i | 0.949504 | − | 1.86351i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −3.91660 | − | 1.16275i | −0.171920 | − | 0.0510391i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 34.6323 | + | 11.2527i | 1.51727 | + | 0.492991i | 0.944999 | − | 0.327073i | \(-0.106062\pi\) |
0.572272 | + | 0.820064i | \(0.306062\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.57185 | + | 22.5518i | −0.156186 | + | 0.986120i | 0.777722 | + | 0.628608i | \(0.216375\pi\) |
−0.933908 | + | 0.357512i | \(0.883625\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 14.1661 | + | 20.2914i | 0.618261 | + | 0.885591i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.42585 | + | 15.3162i | −0.105672 | + | 0.667185i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.6512 | − | 5.08537i | −0.680485 | − | 0.221103i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.491276 | − | 0.608191i | −0.0213196 | − | 0.0263932i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −10.1606 | + | 19.9412i | −0.440103 | + | 0.863750i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −27.1626 | − | 28.3967i | −1.17434 | − | 1.22770i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.30782 | − | 6.92412i | 0.142743 | − | 0.298798i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −4.53708 | + | 3.29638i | −0.195426 | + | 0.141985i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.4743 | − | 10.5162i | −0.622299 | − | 0.452126i | 0.231425 | − | 0.972853i | \(-0.425661\pi\) |
−0.853724 | + | 0.520726i | \(0.825661\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.49456 | + | 13.5054i | 0.107052 | + | 0.579572i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −30.3700 | − | 23.1126i | −1.30091 | − | 0.990037i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.1268 | + | 6.68845i | −0.561263 | + | 0.285978i | −0.711516 | − | 0.702670i | \(-0.751991\pi\) |
0.150253 | + | 0.988648i | \(0.451991\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −15.1328 | + | 5.78777i | −0.645853 | + | 0.247016i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 0.402102i | − | 0.0171301i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.1461 | − | 21.8755i | −0.473981 | − | 0.930239i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 10.3704 | − | 0.0348640i | 0.440199 | − | 0.00147989i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −15.7568 | + | 15.7568i | −0.667638 | + | 0.667638i | −0.957169 | − | 0.289531i | \(-0.906501\pi\) |
0.289531 | + | 0.957169i | \(0.406501\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.00083 | + | 12.3886i | −0.380695 | + | 0.523981i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.326042 | − | 12.7482i | −0.0137655 | − | 0.538231i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.16190 | − | 19.9634i | −0.133258 | − | 0.841358i | −0.960249 | − | 0.279143i | \(-0.909950\pi\) |
0.826991 | − | 0.562215i | \(-0.190050\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.59954 | + | 0.624136i | −0.193504 | + | 0.0262576i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −6.59567 | − | 24.8578i | −0.276992 | − | 1.04393i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −10.5620 | − | 32.5066i | −0.442783 | − | 1.36275i | −0.884896 | − | 0.465788i | \(-0.845771\pi\) |
0.442113 | − | 0.896959i | \(-0.354229\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.84382 | + | 14.9078i | −0.202708 | + | 0.623870i | 0.797092 | + | 0.603858i | \(0.206371\pi\) |
−0.999800 | + | 0.0200122i | \(0.993629\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −10.0212 | + | 10.5472i | −0.418640 | + | 0.440616i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 12.5313 | + | 2.55973i | 0.522590 | + | 0.106748i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −34.5289 | − | 5.46884i | −1.43746 | − | 0.227671i | −0.611428 | − | 0.791300i | \(-0.709405\pi\) |
−0.826028 | + | 0.563629i | \(0.809405\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 18.9479 | − | 14.5209i | 0.787450 | − | 0.603468i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −18.9437 | + | 6.15518i | −0.785917 | + | 0.255360i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 47.1999 | + | 24.0496i | 1.95482 | + | 0.996031i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −4.98769 | + | 38.7081i | −0.206216 | + | 1.60038i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −38.6761 | + | 6.12569i | −1.59633 | + | 0.252834i | −0.890310 | − | 0.455355i | \(-0.849512\pi\) |
−0.706023 | + | 0.708189i | \(0.749512\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 22.1319 | + | 30.4619i | 0.911927 | + | 1.25516i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8.97167 | − | 25.3844i | −0.369045 | − | 1.04418i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −18.8322 | − | 18.8322i | −0.773348 | − | 0.773348i | 0.205343 | − | 0.978690i | \(-0.434169\pi\) |
−0.978690 | + | 0.205343i | \(0.934169\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.36419 | + | 2.81431i | −0.383895 | + | 0.115375i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.41619 | − | 18.2667i | 0.0988881 | − | 0.747605i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 29.8132 | 1.21813 | 0.609066 | − | 0.793119i | \(-0.291544\pi\) | ||||
0.609066 | + | 0.793119i | \(0.291544\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.3924 | 0.505498 | 0.252749 | − | 0.967532i | \(-0.418665\pi\) | ||||
0.252749 | + | 0.967532i | \(0.418665\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 7.72399 | − | 8.55734i | 0.314545 | − | 0.348482i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −25.6429 | − | 8.96617i | −1.04253 | − | 0.364527i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −16.4938 | − | 16.4938i | −0.669464 | − | 0.669464i | 0.288128 | − | 0.957592i | \(-0.406967\pi\) |
−0.957592 | + | 0.288128i | \(0.906967\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.505004 | − | 0.178485i | 0.0204638 | − | 0.00723257i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −33.8004 | − | 46.5223i | −1.36742 | − | 1.88209i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 34.2415 | − | 5.42333i | 1.38300 | − | 0.219046i | 0.579803 | − | 0.814756i | \(-0.303129\pi\) |
0.803199 | + | 0.595710i | \(0.203129\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −10.5703 | − | 10.4994i | −0.426234 | − | 0.423377i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −24.8462 | − | 12.6598i | −1.00027 | − | 0.509662i | −0.124410 | − | 0.992231i | \(-0.539704\pi\) |
−0.875858 | + | 0.482568i | \(0.839704\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.8893 | − | 3.86308i | 0.477872 | − | 0.155270i | −0.0601697 | − | 0.998188i | \(-0.519164\pi\) |
0.538042 | + | 0.842918i | \(0.319164\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −11.3204 | − | 6.96568i | −0.454272 | − | 0.279523i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 13.4145 | + | 2.12465i | 0.537442 | + | 0.0851224i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.9014 | + | 2.21788i | 0.996057 | + | 0.0887154i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −22.4476 | − | 21.3281i | −0.896473 | − | 0.851761i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.26620 | + | 3.89698i | −0.0504869 | + | 0.155383i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.26220 | + | 16.1954i | 0.209485 | + | 0.644728i | 0.999499 | + | 0.0316401i | \(0.0100730\pi\) |
−0.790014 | + | 0.613088i | \(0.789927\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 16.7035 | − | 9.05607i | 0.663904 | − | 0.359946i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.606497 | − | 3.34649i | 0.0240681 | − | 0.132802i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.06086 | + | 6.69803i | 0.0420329 | + | 0.265386i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −37.5351 | − | 24.4408i | −1.48487 | − | 0.966861i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.68121 | − | 3.69037i | 0.105901 | − | 0.145761i | −0.752777 | − | 0.658276i | \(-0.771286\pi\) |
0.858678 | + | 0.512515i | \(0.171286\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.57617 | − | 1.57617i | 0.0621582 | − | 0.0621582i | −0.675344 | − | 0.737503i | \(-0.736005\pi\) |
0.737503 | + | 0.675344i | \(0.236005\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.01949 | − | 8.22681i | −0.237017 | − | 0.323930i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −10.6313 | − | 20.8650i | −0.417958 | − | 0.820289i | −0.999975 | − | 0.00711204i | \(-0.997736\pi\) |
0.582017 | − | 0.813177i | \(-0.302264\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 1.25386i | − | 0.0492185i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −28.4336 | + | 41.3171i | −1.11440 | + | 1.61934i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.68056 | + | 0.856287i | −0.0657653 | + | 0.0335091i | −0.486564 | − | 0.873645i | \(-0.661750\pi\) |
0.420799 | + | 0.907154i | \(0.361750\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.78042 | + | 12.5788i | 0.147713 | + | 0.491495i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.50961 | + | 5.61823i | −0.0979094 | + | 0.219188i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 39.3347 | + | 28.5783i | 1.53226 | + | 1.11325i | 0.954965 | + | 0.296719i | \(0.0958925\pi\) |
0.577297 | + | 0.816534i | \(0.304107\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.8497 | − | 7.88279i | 0.422006 | − | 0.306605i | −0.356439 | − | 0.934319i | \(-0.616009\pi\) |
0.778444 | + | 0.627714i | \(0.216009\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −13.9143 | − | 6.64722i | −0.540388 | − | 0.258156i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −11.2457 | + | 20.9096i | −0.436090 | + | 0.810841i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.125675 | − | 0.246651i | 0.00486615 | − | 0.00955035i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −8.93159 | + | 30.0851i | −0.345315 | + | 1.16316i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −24.7123 | − | 8.02951i | −0.954008 | − | 0.309976i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.34636 | − | 8.50057i | 0.0518983 | − | 0.327673i | −0.948056 | − | 0.318104i | \(-0.896954\pi\) |
0.999954 | − | 0.00956929i | \(-0.00304604\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −23.5178 | − | 11.0414i | −0.905200 | − | 0.424985i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 0.116734 | − | 0.737029i | 0.00448645 | − | 0.0283263i | −0.985344 | − | 0.170582i | \(-0.945435\pi\) |
0.989830 | + | 0.142255i | \(0.0454354\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −45.6802 | − | 14.8424i | −1.75304 | − | 0.569599i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.20187 | + | 4.04839i | −0.0460559 | + | 0.155134i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 16.4590 | − | 32.3026i | 0.629785 | − | 1.23602i | −0.326944 | − | 0.945044i | \(-0.606019\pi\) |
0.956729 | − | 0.290980i | \(-0.0939812\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.65665 | − | 19.5780i | −0.101505 | − | 0.748038i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −22.9161 | − | 10.9476i | −0.874303 | − | 0.417676i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 51.8234 | − | 37.6519i | 1.97431 | − | 1.43442i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −25.1665 | − | 18.2845i | −0.957378 | − | 0.695576i | −0.00483787 | − | 0.999988i | \(-0.501540\pi\) |
−0.952540 | + | 0.304412i | \(0.901540\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 16.8221 | − | 37.6593i | 0.639019 | − | 1.43056i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −8.67760 | + | 6.01484i | −0.329160 | + | 0.228156i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.24504 | − | 2.67248i | 0.198670 | − | 0.101228i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −19.4583 | + | 28.2750i | −0.735981 | + | 1.06946i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 0.173863i | − | 0.00656672i | −0.999995 | − | 0.00328336i | \(-0.998955\pi\) | ||
0.999995 | − | 0.00328336i | \(-0.00104513\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.51685 | + | 8.86483i | 0.170356 | + | 0.334343i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 36.3670 | − | 11.9517i | 1.36966 | − | 0.450125i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 35.0712 | − | 35.0712i | 1.31899 | − | 1.31899i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −27.9112 | + | 38.4165i | −1.04823 | + | 1.44276i | −0.157891 | + | 0.987457i | \(0.550469\pi\) |
−0.890336 | + | 0.455304i | \(0.849531\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 21.5998 | + | 14.0646i | 0.810056 | + | 0.527463i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.05506 | + | 25.6026i | 0.151863 | + | 0.958826i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −45.2312 | + | 43.2655i | −1.69155 | + | 1.61804i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −35.1473 | + | 19.0557i | −1.31260 | + | 0.711647i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1.22324 | + | 3.76475i | 0.0456192 | + | 0.140401i | 0.971272 | − | 0.237973i | \(-0.0764831\pi\) |
−0.925653 | + | 0.378375i | \(0.876483\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.18452 | + | 12.8786i | −0.155840 | + | 0.479626i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 12.4041 | + | 11.7855i | 0.461315 | + | 0.438307i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.189890 | − | 0.506676i | 0.00705235 | − | 0.0188175i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.95795 | + | 1.41880i | 0.332232 | + | 0.0526204i | 0.320322 | − | 0.947309i | \(-0.396209\pi\) |
0.0119099 | + | 0.999929i | \(0.496209\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 19.0219 | + | 19.1616i | 0.704514 | + | 0.709690i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.83061 | − | 1.24464i | 0.141680 | − | 0.0460347i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 20.9011 | + | 10.6496i | 0.772000 | + | 0.393353i | 0.795177 | − | 0.606378i | \(-0.207378\pi\) |
−0.0231770 | + | 0.999731i | \(0.507378\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −4.46119 | − | 0.691216i | −0.164553 | − | 0.0254959i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 18.2602 | − | 2.89213i | 0.672622 | − | 0.106533i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.02439 | + | 8.29186i | 0.221611 | + | 0.305021i | 0.905317 | − | 0.424736i | \(-0.139633\pi\) |
−0.683706 | + | 0.729757i | \(0.739633\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −35.3028 | + | 12.4771i | −1.29688 | + | 0.458359i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −21.7690 | − | 21.7690i | −0.798626 | − | 0.798626i | 0.184253 | − | 0.982879i | \(-0.441013\pi\) |
−0.982879 | + | 0.184253i | \(0.941013\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.0986303 | − | 4.44047i | 0.00361354 | − | 0.162686i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 14.0115 | − | 15.5232i | 0.512653 | − | 0.567964i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 50.2179 | 1.83492 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.73768 | 0.282352 | 0.141176 | − | 0.989985i | \(-0.454912\pi\) | ||||
0.141176 | + | 0.989985i | \(0.454912\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −3.85280 | + | 29.1276i | −0.140404 | + | 1.06147i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.06692 | + | 48.0340i | −0.0388291 | + | 1.74814i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.50352 | + | 4.50352i | 0.163683 | + | 0.163683i | 0.784196 | − | 0.620513i | \(-0.213076\pi\) |
−0.620513 | + | 0.784196i | \(0.713076\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −7.10349 | − | 20.0986i | −0.257840 | − | 0.729533i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 7.27565 | + | 10.0141i | 0.263742 | + | 0.363010i | 0.920265 | − | 0.391297i | \(-0.127973\pi\) |
−0.656523 | + | 0.754306i | \(0.727973\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 48.1714 | − | 7.62960i | 1.74392 | − | 0.276210i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 7.04570 | − | 7.46566i | 0.254738 | − | 0.269921i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.35095 | − | 0.688344i | −0.0487800 | − | 0.0248547i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 28.2227 | − | 9.17010i | 1.01774 | − | 0.330682i | 0.247805 | − | 0.968810i | \(-0.420291\pi\) |
0.769931 | + | 0.638128i | \(0.220291\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 34.1049 | − | 26.1365i | 1.22826 | − | 0.941284i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.378278 | − | 0.0599133i | −0.0136057 | − | 0.00215493i | 0.149628 | − | 0.988742i | \(-0.452192\pi\) |
−0.163234 | + | 0.986587i | \(0.552192\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 13.5022 | + | 48.8357i | 0.485012 | + | 1.75423i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −9.12850 | + | 9.60768i | −0.327483 | + | 0.344674i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.41691 | − | 13.5938i | 0.158252 | − | 0.487050i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −22.1981 | − | 68.3186i | −0.794309 | − | 2.44463i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.365978 | + | 0.426920i | −0.0130790 | + | 0.0152569i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −17.4429 | + | 16.6848i | −0.622563 | + | 0.595507i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.702867 | − | 4.43773i | −0.0250545 | − | 0.158188i | 0.971989 | − | 0.235026i | \(-0.0755175\pi\) |
−0.997044 | + | 0.0768381i | \(0.975518\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.724403 | − | 28.3241i | −0.0257894 | − | 1.00837i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 3.48662 | − | 4.79892i | 0.123970 | − | 0.170630i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −22.2177 | + | 22.2177i | −0.788975 | + | 0.788975i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 13.3135 | + | 40.5109i | 0.472182 | + | 1.43677i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.40159 | + | 2.75078i | 0.0496469 | + | 0.0974376i | 0.914497 | − | 0.404593i | \(-0.132587\pi\) |
−0.864850 | + | 0.502030i | \(0.832587\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 15.1252i | 0.535091i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13.3179 | + | 5.09364i | −0.470566 | + | 0.179975i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −8.79282 | + | 4.48017i | −0.310292 | + | 0.158102i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −13.4334 | + | 9.31126i | −0.473464 | + | 0.328179i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.54981 | − | 13.8045i | −0.0897576 | − | 0.485943i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −30.0466 | − | 21.8301i | −1.05638 | − | 0.767506i | −0.0829655 | − | 0.996552i | \(-0.526439\pi\) |
−0.973415 | + | 0.229047i | \(0.926439\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 28.0735 | − | 20.3966i | 0.985793 | − | 0.716221i | 0.0267972 | − | 0.999641i | \(-0.491469\pi\) |
0.958996 | + | 0.283420i | \(0.0914692\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −6.83772 | + | 14.3131i | −0.239809 | + | 0.501982i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.27849 | − | 9.42173i | −0.0447834 | − | 0.330029i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.43993 | − | 8.71385i | 0.155333 | − | 0.304859i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −31.3403 | − | 38.7988i | −1.09512 | − | 1.35574i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −22.2902 | − | 7.24251i | −0.777932 | − | 0.252765i | −0.106975 | − | 0.994262i | \(-0.534116\pi\) |
−0.670957 | + | 0.741496i | \(0.734116\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.56451 | + | 28.8192i | −0.159109 | + | 1.00457i | 0.770879 | + | 0.636982i | \(0.219817\pi\) |
−0.929988 | + | 0.367591i | \(0.880183\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −18.2135 | − | 37.4756i | −0.634112 | − | 1.30473i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −5.14586 | + | 32.4897i | −0.178939 | + | 1.12978i | 0.720733 | + | 0.693212i | \(0.243805\pi\) |
−0.899673 | + | 0.436565i | \(0.856195\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 22.5304 | + | 7.32056i | 0.782512 | + | 0.254254i | 0.672912 | − | 0.739722i | \(-0.265043\pi\) |
0.109600 | + | 0.993976i | \(0.465043\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.56144 | − | 1.94794i | −0.227614 | − | 0.0675733i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.809788 | − | 1.58930i | 0.0280575 | − | 0.0550659i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −11.3273 | + | 21.0613i | −0.391997 | + | 0.728857i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 4.22737 | − | 52.4856i | 0.146119 | − | 1.81417i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −35.6364 | + | 25.8914i | −1.23031 | + | 0.893869i | −0.996913 | − | 0.0785132i | \(-0.974983\pi\) |
−0.233393 | + | 0.972383i | \(0.574983\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.4520 | + | 17.0389i | 0.808690 | + | 0.587548i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 43.9730 | − | 8.12217i | 1.51451 | − | 0.279742i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 13.4180 | + | 44.6464i | 0.461593 | + | 1.53588i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 30.9317 | − | 15.7605i | 1.06283 | − | 0.541537i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1.93240 | − | 1.32984i | −0.0663198 | − | 0.0456399i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.84944i | 0.234796i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 11.7145 | + | 22.9910i | 0.401097 | + | 0.787197i | 0.999906 | − | 0.0136947i | \(-0.00435930\pi\) |
−0.598809 | + | 0.800892i | \(0.704359\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.721036 | − | 24.9150i | −0.0246589 | − | 0.852075i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −11.3014 | + | 11.3014i | −0.386047 | + | 0.386047i | −0.873275 | − | 0.487228i | \(-0.838008\pi\) |
0.487228 | + | 0.873275i | \(0.338008\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 22.0585 | − | 30.3610i | 0.752627 | − | 1.03590i | −0.245164 | − | 0.969482i | \(-0.578842\pi\) |
0.997792 | − | 0.0664210i | \(-0.0211580\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 19.0332 | − | 0.486784i | 0.648651 | − | 0.0165896i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −6.11502 | − | 38.6087i | −0.208158 | − | 1.31426i | −0.841447 | − | 0.540340i | \(-0.818296\pi\) |
0.633289 | − | 0.773915i | \(-0.281704\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.940582 | − | 5.18989i | 0.0319808 | − | 0.176461i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −12.1009 | − | 22.3196i | −0.410968 | − | 0.758012i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 12.7740 | + | 39.3144i | 0.433329 | + | 1.33365i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.90837 | − | 21.2618i | 0.234081 | − | 0.720427i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 49.3361 | − | 10.4238i | 1.66977 | − | 0.352793i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −24.0448 | + | 21.0368i | −0.812863 | + | 0.711175i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 41.1085 | + | 6.51094i | 1.38813 | + | 0.219859i | 0.805365 | − | 0.592779i | \(-0.201969\pi\) |
0.582769 | + | 0.812638i | \(0.301969\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 14.0629 | + | 18.3502i | 0.474328 | + | 0.618938i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 31.4946 | − | 10.2332i | 1.06108 | − | 0.344766i | 0.274072 | − | 0.961709i | \(-0.411629\pi\) |
0.787008 | + | 0.616943i | \(0.211629\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −18.6577 | − | 9.50655i | −0.627880 | − | 0.319921i | 0.110936 | − | 0.993828i | \(-0.464615\pi\) |
−0.738817 | + | 0.673907i | \(0.764615\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.711301 | − | 0.716100i | 0.0239101 | − | 0.0240714i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 20.2617 | − | 3.20914i | 0.680321 | − | 0.107752i | 0.193296 | − | 0.981140i | \(-0.438082\pi\) |
0.487025 | + | 0.873388i | \(0.338082\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.55468 | + | 3.51621i | 0.0856811 | + | 0.117930i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.42117 | + | 43.0755i | 0.148115 | + | 1.44308i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 25.9689 | + | 25.9689i | 0.869016 | + | 0.869016i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.35149 | + | 3.26980i | 0.312586 | + | 0.109297i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −25.5545 | − | 3.38017i | −0.853240 | − | 0.112861i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.09664 | 0.0365748 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −16.8487 | −0.561311 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 12.9146 | + | 1.70826i | 0.429772 | + | 0.0568472i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −16.9800 | + | 5.10317i | −0.564436 | + | 0.169635i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 18.9719 | + | 18.9719i | 0.629953 | + | 0.629953i | 0.948056 | − | 0.318103i | \(-0.103046\pi\) |
−0.318103 | + | 0.948056i | \(0.603046\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.5382 | + | 50.2798i | −0.449034 | + | 1.66768i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.4564 | + | 15.7683i | 0.379567 | + | 0.522428i | 0.955470 | − | 0.295089i | \(-0.0953495\pi\) |
−0.575903 | + | 0.817518i | \(0.695349\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 33.1243 | − | 5.24638i | 1.09625 | − | 0.173630i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −9.55850 | − | 18.6047i | −0.315994 | − | 0.615053i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −14.9557 | − | 7.62032i | −0.493882 | − | 0.251645i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 39.3312 | − | 12.7795i | 1.29742 | − | 0.421556i | 0.422734 | − | 0.906254i | \(-0.361070\pi\) |
0.874682 | + | 0.484698i | \(0.161070\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −14.0429 | − | 18.3242i | −0.462730 | − | 0.603803i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −85.7948 | − | 13.5886i | −2.82397 | − | 0.447273i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.50518 | + | 13.3033i | 0.0494899 | + | 0.437411i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −2.93879 | − | 13.9094i | −0.0965226 | − | 0.456843i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 6.58580 | − | 20.2690i | 0.216073 | − | 0.665004i | −0.783003 | − | 0.622018i | \(-0.786313\pi\) |
0.999076 | − | 0.0429861i | \(-0.0136871\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.33837 | − | 4.11907i | −0.0438632 | − | 0.134997i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 10.9456 | + | 20.1887i | 0.358344 | + | 0.660948i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 16.3138 | − | 2.21370i | 0.533518 | − | 0.0723959i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.55487 | − | 41.3858i | −0.214138 | − | 1.35202i | −0.827167 | − | 0.561955i | \(-0.810049\pi\) |
0.613029 | − | 0.790060i | \(-0.289951\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0.153377 | − | 0.00392268i | 0.00500526 | − | 0.000128012i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −26.9763 | + | 37.1297i | −0.879402 | + | 1.21039i | 0.0971843 | + | 0.995266i | \(0.469016\pi\) |
−0.976586 | + | 0.215126i | \(0.930984\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.95803 | − | 6.95803i | 0.226585 | − | 0.226585i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 30.9710 | − | 11.9648i | 1.00749 | − | 0.389215i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 20.9146 | + | 41.0473i | 0.679634 | + | 1.33386i | 0.930663 | + | 0.365878i | \(0.119231\pi\) |
−0.251029 | + | 0.967980i | \(0.580769\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 11.9332i | 0.387367i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −41.1731 | − | 28.3345i | −1.33513 | − | 0.918810i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −9.89306 | + | 5.04077i | −0.320468 | + | 0.163286i | −0.606823 | − | 0.794837i | \(-0.707556\pi\) |
0.286355 | + | 0.958124i | \(0.407556\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −14.9464 | − | 11.3747i | −0.483654 | − | 0.368078i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.886826 | + | 0.163804i | −0.0286670 | + | 0.00529503i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 20.4267 | + | 14.8409i | 0.659612 | + | 0.479236i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −57.9979 | + | 42.1380i | −1.87090 | + | 1.35929i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −45.6901 | + | 26.3049i | −1.47234 | + | 0.847663i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 21.3029 | + | 22.2708i | 0.685766 | + | 0.716922i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −11.6265 | + | 22.8184i | −0.373885 | + | 0.733790i | −0.998903 | − | 0.0468200i | \(-0.985091\pi\) |
0.625019 | + | 0.780610i | \(0.285091\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 9.44113 | + | 2.80286i | 0.303293 | + | 0.0900407i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 32.8712 | + | 10.6805i | 1.05489 | + | 0.342753i | 0.784584 | − | 0.620022i | \(-0.212876\pi\) |
0.270302 | + | 0.962776i | \(0.412876\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.11076 | − | 13.3268i | 0.0676678 | − | 0.427238i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −50.3761 | − | 0.949510i | −1.61333 | − | 0.0304086i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2.56693 | − | 16.2070i | 0.0821234 | − | 0.518507i | −0.911994 | − | 0.410203i | \(-0.865458\pi\) |
0.994118 | − | 0.108304i | \(-0.0345420\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −21.7486 | − | 7.06653i | −0.695087 | − | 0.225847i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −39.8315 | + | 32.1746i | −1.27172 | + | 1.02725i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 17.5734 | − | 34.4898i | 0.560505 | − | 1.10005i | −0.420721 | − | 0.907190i | \(-0.638223\pi\) |
0.981226 | − | 0.192863i | \(-0.0617771\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 31.3121 | − | 15.0881i | 0.997688 | − | 0.480746i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −21.0876 | + | 44.1417i | −0.671225 | + | 1.40505i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 5.44694 | − | 3.95743i | 0.173203 | − | 0.125839i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.23172 | + | 3.80107i | 0.166191 | + | 0.120745i | 0.667772 | − | 0.744366i | \(-0.267248\pi\) |
−0.501581 | + | 0.865111i | \(0.667248\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 1.61056 | + | 8.71946i | 0.0511094 | + | 0.276704i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 23.7817 | + | 0.528232i | 0.753931 | + | 0.0167461i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.68687 | − | 0.859502i | 0.0534236 | − | 0.0272207i | −0.427075 | − | 0.904216i | \(-0.640456\pi\) |
0.480498 | + | 0.876996i | \(0.340456\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 3.27278 | − | 13.5231i | 0.103546 | − | 0.427850i |
(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 | 300.2.x.a.77.10 | yes | 80 | |
3.2 | odd | 2 | inner | 300.2.x.a.77.4 | ✓ | 80 | |
25.13 | odd | 20 | inner | 300.2.x.a.113.4 | yes | 80 | |
75.38 | even | 20 | inner | 300.2.x.a.113.10 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.x.a.77.4 | ✓ | 80 | 3.2 | odd | 2 | inner | |
300.2.x.a.77.10 | yes | 80 | 1.1 | even | 1 | trivial | |
300.2.x.a.113.4 | yes | 80 | 25.13 | odd | 20 | inner | |
300.2.x.a.113.10 | yes | 80 | 75.38 | even | 20 | inner |