Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(37,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.bc (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Character | \(\chi\) | \(=\) | 168.37 |
Dual form | 168.2.bc.a.109.3 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31787 | − | 0.513056i | −0.931873 | − | 0.362786i | ||||
\(3\) | −0.866025 | + | 0.500000i | −0.500000 | + | 0.288675i | ||||
\(4\) | 1.47355 | + | 1.35228i | 0.736773 | + | 0.676140i | ||||
\(5\) | −0.0402223 | − | 0.0232224i | −0.0179880 | − | 0.0103854i | 0.490979 | − | 0.871171i | \(-0.336639\pi\) |
−0.508967 | + | 0.860786i | \(0.669972\pi\) | |||||||
\(6\) | 1.39783 | − | 0.214614i | 0.570663 | − | 0.0876157i | ||||
\(7\) | −1.97032 | + | 1.76574i | −0.744711 | + | 0.667387i | ||||
\(8\) | −1.24814 | − | 2.53814i | −0.441285 | − | 0.897367i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 0.0410933 | + | 0.0512403i | 0.0129948 | + | 0.0162036i | ||||
\(11\) | −3.11586 | + | 1.79894i | −0.939468 | + | 0.542402i | −0.889793 | − | 0.456364i | \(-0.849152\pi\) |
−0.0496743 | + | 0.998765i | \(0.515818\pi\) | |||||||
\(12\) | −1.95227 | − | 0.434335i | −0.563571 | − | 0.125382i | ||||
\(13\) | 6.29415i | 1.74568i | 0.488004 | + | 0.872842i | \(0.337725\pi\) | ||||
−0.488004 | + | 0.872842i | \(0.662275\pi\) | |||||||
\(14\) | 3.50254 | − | 1.31613i | 0.936094 | − | 0.351749i | ||||
\(15\) | 0.0464447 | 0.0119920 | ||||||||
\(16\) | 0.342679 | + | 3.98529i | 0.0856697 | + | 0.996324i | ||||
\(17\) | 0.258110 | + | 0.447060i | 0.0626010 | + | 0.108428i | 0.895627 | − | 0.444805i | \(-0.146727\pi\) |
−0.833026 | + | 0.553233i | \(0.813394\pi\) | |||||||
\(18\) | −1.10325 | + | 0.884778i | −0.260039 | + | 0.208544i | ||||
\(19\) | 2.80834 | + | 1.62140i | 0.644278 | + | 0.371974i | 0.786261 | − | 0.617895i | \(-0.212014\pi\) |
−0.141983 | + | 0.989869i | \(0.545348\pi\) | |||||||
\(20\) | −0.0278663 | − | 0.0886110i | −0.00623109 | − | 0.0198140i | ||||
\(21\) | 0.823477 | − | 2.51434i | 0.179697 | − | 0.548673i | ||||
\(22\) | 5.02925 | − | 0.772156i | 1.07224 | − | 0.164624i | ||||
\(23\) | −3.47322 | + | 6.01578i | −0.724215 | + | 1.25438i | 0.235081 | + | 0.971976i | \(0.424465\pi\) |
−0.959296 | + | 0.282402i | \(0.908869\pi\) | |||||||
\(24\) | 2.34999 | + | 1.57402i | 0.479690 | + | 0.321295i | ||||
\(25\) | −2.49892 | − | 4.32826i | −0.499784 | − | 0.865652i | ||||
\(26\) | 3.22925 | − | 8.29485i | 0.633309 | − | 1.62675i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −5.29113 | − | 0.0625230i | −0.999930 | − | 0.0118157i | ||||
\(29\) | − | 2.29579i | − | 0.426317i | −0.977018 | − | 0.213159i | \(-0.931625\pi\) | ||
0.977018 | − | 0.213159i | \(-0.0683751\pi\) | |||||||
\(30\) | −0.0612079 | − | 0.0238287i | −0.0111750 | − | 0.00435051i | ||||
\(31\) | −1.05460 | − | 1.82662i | −0.189411 | − | 0.328070i | 0.755643 | − | 0.654984i | \(-0.227325\pi\) |
−0.945054 | + | 0.326914i | \(0.893991\pi\) | |||||||
\(32\) | 1.59308 | − | 5.42790i | 0.281619 | − | 0.959526i | ||||
\(33\) | 1.79894 | − | 3.11586i | 0.313156 | − | 0.542402i | ||||
\(34\) | −0.110788 | − | 0.721591i | −0.0190000 | − | 0.123752i | ||||
\(35\) | 0.120255 | − | 0.0252667i | 0.0203269 | − | 0.00427085i | ||||
\(36\) | 1.90788 | − | 0.599989i | 0.317980 | − | 0.0999981i | ||||
\(37\) | 1.12720 | + | 0.650790i | 0.185311 | + | 0.106989i | 0.589785 | − | 0.807560i | \(-0.299212\pi\) |
−0.404475 | + | 0.914549i | \(0.632546\pi\) | |||||||
\(38\) | −2.86915 | − | 3.57762i | −0.465438 | − | 0.580367i | ||||
\(39\) | −3.14708 | − | 5.45089i | −0.503935 | − | 0.872842i | ||||
\(40\) | −0.00873835 | + | 0.131074i | −0.00138165 | + | 0.0207247i | ||||
\(41\) | 10.1883 | 1.59115 | 0.795576 | − | 0.605854i | \(-0.207168\pi\) | ||||
0.795576 | + | 0.605854i | \(0.207168\pi\) | |||||||
\(42\) | −2.37523 | + | 2.89107i | −0.366506 | + | 0.446102i | ||||
\(43\) | − | 9.12162i | − | 1.39103i | −0.718510 | − | 0.695517i | \(-0.755176\pi\) | ||
0.718510 | − | 0.695517i | \(-0.244824\pi\) | |||||||
\(44\) | −7.02404 | − | 1.56269i | −1.05891 | − | 0.235584i | ||||
\(45\) | −0.0402223 | + | 0.0232224i | −0.00599599 | + | 0.00346178i | ||||
\(46\) | 7.66367 | − | 6.14605i | 1.12995 | − | 0.906186i | ||||
\(47\) | −2.32465 | + | 4.02641i | −0.339085 | + | 0.587313i | −0.984261 | − | 0.176722i | \(-0.943451\pi\) |
0.645176 | + | 0.764034i | \(0.276784\pi\) | |||||||
\(48\) | −2.28942 | − | 3.28003i | −0.330449 | − | 0.473431i | ||||
\(49\) | 0.764321 | − | 6.95815i | 0.109189 | − | 0.994021i | ||||
\(50\) | 1.07261 | + | 6.98616i | 0.151689 | + | 0.987992i | ||||
\(51\) | −0.447060 | − | 0.258110i | −0.0626010 | − | 0.0361427i | ||||
\(52\) | −8.51145 | + | 9.27472i | −1.18033 | + | 1.28617i | ||||
\(53\) | −4.91727 | + | 2.83899i | −0.675439 | + | 0.389965i | −0.798134 | − | 0.602480i | \(-0.794179\pi\) |
0.122696 | + | 0.992444i | \(0.460846\pi\) | |||||||
\(54\) | 0.513056 | − | 1.31787i | 0.0698181 | − | 0.179339i | ||||
\(55\) | 0.167103 | 0.0225321 | ||||||||
\(56\) | 6.94093 | + | 2.79705i | 0.927521 | + | 0.373771i | ||||
\(57\) | −3.24279 | −0.429519 | ||||||||
\(58\) | −1.17787 | + | 3.02555i | −0.154662 | + | 0.397274i | ||||
\(59\) | 1.42910 | − | 0.825090i | 0.186053 | − | 0.107418i | −0.404081 | − | 0.914723i | \(-0.632409\pi\) |
0.590133 | + | 0.807306i | \(0.299075\pi\) | |||||||
\(60\) | 0.0684384 | + | 0.0628062i | 0.00883536 | + | 0.00810825i | ||||
\(61\) | 1.10386 | + | 0.637312i | 0.141334 | + | 0.0815995i | 0.569000 | − | 0.822338i | \(-0.307331\pi\) |
−0.427665 | + | 0.903937i | \(0.640664\pi\) | |||||||
\(62\) | 0.452663 | + | 2.94831i | 0.0574882 | + | 0.374436i | ||||
\(63\) | 0.544016 | + | 2.58922i | 0.0685396 | + | 0.326211i | ||||
\(64\) | −4.88428 | + | 6.33591i | −0.610535 | + | 0.791989i | ||||
\(65\) | 0.146165 | − | 0.253165i | 0.0181295 | − | 0.0314013i | ||||
\(66\) | −3.96938 | + | 3.18333i | −0.488597 | + | 0.391841i | ||||
\(67\) | 6.72366 | − | 3.88191i | 0.821426 | − | 0.474251i | −0.0294820 | − | 0.999565i | \(-0.509386\pi\) |
0.850908 | + | 0.525315i | \(0.176052\pi\) | |||||||
\(68\) | −0.224213 | + | 1.00780i | −0.0271898 | + | 0.122214i | ||||
\(69\) | − | 6.94643i | − | 0.836252i | ||||||
\(70\) | −0.171444 | − | 0.0283997i | −0.0204915 | − | 0.00339441i | ||||
\(71\) | 11.8320 | 1.40420 | 0.702099 | − | 0.712080i | \(-0.252247\pi\) | ||||
0.702099 | + | 0.712080i | \(0.252247\pi\) | |||||||
\(72\) | −2.82216 | − | 0.188145i | −0.332595 | − | 0.0221731i | ||||
\(73\) | 5.57028 | + | 9.64802i | 0.651953 | + | 1.12921i | 0.982649 | + | 0.185478i | \(0.0593832\pi\) |
−0.330696 | + | 0.943737i | \(0.607283\pi\) | |||||||
\(74\) | −1.15161 | − | 1.43597i | −0.133872 | − | 0.166928i | ||||
\(75\) | 4.32826 | + | 2.49892i | 0.499784 | + | 0.288551i | ||||
\(76\) | 1.94564 | + | 6.18687i | 0.223180 | + | 0.709683i | ||||
\(77\) | 2.96278 | − | 9.04630i | 0.337640 | − | 1.03092i | ||||
\(78\) | 1.35081 | + | 8.79818i | 0.152949 | + | 0.996198i | ||||
\(79\) | −2.75086 | + | 4.76463i | −0.309496 | + | 0.536063i | −0.978252 | − | 0.207419i | \(-0.933494\pi\) |
0.668756 | + | 0.743482i | \(0.266827\pi\) | |||||||
\(80\) | 0.0787646 | − | 0.168255i | 0.00880615 | − | 0.0188115i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −13.4269 | − | 5.22719i | −1.48275 | − | 0.577247i | ||||
\(83\) | 8.25030i | 0.905588i | 0.891615 | + | 0.452794i | \(0.149573\pi\) | ||||
−0.891615 | + | 0.452794i | \(0.850427\pi\) | |||||||
\(84\) | 4.61352 | − | 2.59142i | 0.503376 | − | 0.282747i | ||||
\(85\) | − | 0.0239757i | − | 0.00260053i | ||||||
\(86\) | −4.67990 | + | 12.0211i | −0.504647 | + | 1.29627i | ||||
\(87\) | 1.14789 | + | 1.98821i | 0.123067 | + | 0.213159i | ||||
\(88\) | 8.45501 | + | 5.66315i | 0.901307 | + | 0.603693i | ||||
\(89\) | −7.38218 | + | 12.7863i | −0.782510 | + | 1.35535i | 0.147966 | + | 0.988993i | \(0.452727\pi\) |
−0.930475 | + | 0.366354i | \(0.880606\pi\) | |||||||
\(90\) | 0.0649220 | − | 0.00996767i | 0.00684338 | − | 0.00105068i | ||||
\(91\) | −11.1138 | − | 12.4015i | −1.16505 | − | 1.30003i | ||||
\(92\) | −13.2530 | + | 4.16778i | −1.38172 | + | 0.434521i | ||||
\(93\) | 1.82662 | + | 1.05460i | 0.189411 | + | 0.109357i | ||||
\(94\) | 5.12936 | − | 4.11360i | 0.529053 | − | 0.424285i | ||||
\(95\) | −0.0753053 | − | 0.130433i | −0.00772616 | − | 0.0133821i | ||||
\(96\) | 1.33431 | + | 5.49724i | 0.136182 | + | 0.561059i | ||||
\(97\) | −6.16464 | −0.625925 | −0.312962 | − | 0.949766i | \(-0.601321\pi\) | ||||
−0.312962 | + | 0.949766i | \(0.601321\pi\) | |||||||
\(98\) | −4.57719 | + | 8.77777i | −0.462366 | + | 0.886689i | ||||
\(99\) | 3.59789i | 0.361601i | ||||||||
\(100\) | 2.17074 | − | 9.75713i | 0.217074 | − | 0.975713i | ||||
\(101\) | 6.93470 | − | 4.00375i | 0.690029 | − | 0.398388i | −0.113594 | − | 0.993527i | \(-0.536236\pi\) |
0.803623 | + | 0.595139i | \(0.202903\pi\) | |||||||
\(102\) | 0.456741 | + | 0.569522i | 0.0452241 | + | 0.0563911i | ||||
\(103\) | 6.43821 | − | 11.1513i | 0.634376 | − | 1.09877i | −0.352271 | − | 0.935898i | \(-0.614591\pi\) |
0.986647 | − | 0.162873i | \(-0.0520761\pi\) | |||||||
\(104\) | 15.9754 | − | 7.85600i | 1.56652 | − | 0.770344i | ||||
\(105\) | −0.0915109 | + | 0.0820093i | −0.00893055 | + | 0.00800329i | ||||
\(106\) | 7.93686 | − | 1.21857i | 0.770896 | − | 0.118358i | ||||
\(107\) | −8.84815 | − | 5.10848i | −0.855383 | − | 0.493856i | 0.00708048 | − | 0.999975i | \(-0.497746\pi\) |
−0.862463 | + | 0.506119i | \(0.831080\pi\) | |||||||
\(108\) | −1.35228 | + | 1.47355i | −0.130123 | + | 0.141792i | ||||
\(109\) | −10.1275 | + | 5.84714i | −0.970043 | + | 0.560054i | −0.899249 | − | 0.437437i | \(-0.855886\pi\) |
−0.0707935 | + | 0.997491i | \(0.522553\pi\) | |||||||
\(110\) | −0.220219 | − | 0.0857331i | −0.0209971 | − | 0.00817433i | ||||
\(111\) | −1.30158 | −0.123540 | ||||||||
\(112\) | −7.71218 | − | 7.24722i | −0.728733 | − | 0.684798i | ||||
\(113\) | −9.08476 | −0.854623 | −0.427311 | − | 0.904105i | \(-0.640539\pi\) | ||||
−0.427311 | + | 0.904105i | \(0.640539\pi\) | |||||||
\(114\) | 4.27357 | + | 1.66374i | 0.400257 | + | 0.155823i | ||||
\(115\) | 0.279401 | − | 0.161312i | 0.0260543 | − | 0.0150425i | ||||
\(116\) | 3.10455 | − | 3.38295i | 0.288250 | − | 0.314099i | ||||
\(117\) | 5.45089 | + | 3.14708i | 0.503935 | + | 0.290947i | ||||
\(118\) | −2.30668 | + | 0.354151i | −0.212347 | + | 0.0326023i | ||||
\(119\) | −1.29795 | − | 0.425096i | −0.118983 | − | 0.0389685i | ||||
\(120\) | −0.0579696 | − | 0.117883i | −0.00529188 | − | 0.0107612i | ||||
\(121\) | 0.972397 | − | 1.68424i | 0.0883997 | − | 0.153113i | ||||
\(122\) | −1.12776 | − | 1.40623i | −0.102103 | − | 0.127314i | ||||
\(123\) | −8.82337 | + | 5.09417i | −0.795576 | + | 0.459326i | ||||
\(124\) | 0.916099 | − | 4.11772i | 0.0822681 | − | 0.369782i | ||||
\(125\) | 0.464347i | 0.0415324i | ||||||||
\(126\) | 0.611473 | − | 3.69135i | 0.0544744 | − | 0.328852i | ||||
\(127\) | 14.1059 | 1.25170 | 0.625849 | − | 0.779944i | \(-0.284753\pi\) | ||||
0.625849 | + | 0.779944i | \(0.284753\pi\) | |||||||
\(128\) | 9.68751 | − | 5.84398i | 0.856263 | − | 0.516540i | ||||
\(129\) | 4.56081 | + | 7.89955i | 0.401557 | + | 0.695517i | ||||
\(130\) | −0.322514 | + | 0.258647i | −0.0282863 | + | 0.0226849i | ||||
\(131\) | 14.8183 | + | 8.55535i | 1.29468 | + | 0.747484i | 0.979480 | − | 0.201541i | \(-0.0645949\pi\) |
0.315200 | + | 0.949025i | \(0.397928\pi\) | |||||||
\(132\) | 6.86434 | − | 2.15869i | 0.597464 | − | 0.187890i | ||||
\(133\) | −8.39630 | + | 1.76413i | −0.728052 | + | 0.152970i | ||||
\(134\) | −10.8525 | + | 1.66622i | −0.937516 | + | 0.143940i | ||||
\(135\) | 0.0232224 | − | 0.0402223i | 0.00199866 | − | 0.00346178i | ||||
\(136\) | 0.812542 | − | 1.21311i | 0.0696749 | − | 0.104024i | ||||
\(137\) | 2.48594 | + | 4.30578i | 0.212388 | + | 0.367867i | 0.952462 | − | 0.304659i | \(-0.0985425\pi\) |
−0.740073 | + | 0.672526i | \(0.765209\pi\) | |||||||
\(138\) | −3.56391 | + | 9.15447i | −0.303380 | + | 0.779280i | ||||
\(139\) | − | 5.20468i | − | 0.441455i | −0.975335 | − | 0.220728i | \(-0.929157\pi\) | ||
0.975335 | − | 0.220728i | \(-0.0708432\pi\) | |||||||
\(140\) | 0.211370 | + | 0.125387i | 0.0178640 | + | 0.0105972i | ||||
\(141\) | − | 4.64930i | − | 0.391542i | ||||||
\(142\) | −15.5930 | − | 6.07047i | −1.30853 | − | 0.509422i | ||||
\(143\) | −11.3228 | − | 19.6117i | −0.946862 | − | 1.64001i | ||||
\(144\) | 3.62271 | + | 1.69588i | 0.301892 | + | 0.141323i | ||||
\(145\) | −0.0533136 | + | 0.0923419i | −0.00442746 | + | 0.00766858i | ||||
\(146\) | −2.39092 | − | 15.5727i | −0.197874 | − | 1.28880i | ||||
\(147\) | 2.81715 | + | 6.40809i | 0.232355 | + | 0.528531i | ||||
\(148\) | 0.780933 | + | 2.48326i | 0.0641923 | + | 0.204123i | ||||
\(149\) | 0.725874 | + | 0.419084i | 0.0594659 | + | 0.0343327i | 0.529438 | − | 0.848349i | \(-0.322403\pi\) |
−0.469972 | + | 0.882681i | \(0.655736\pi\) | |||||||
\(150\) | −4.42198 | − | 5.51389i | −0.361053 | − | 0.450207i | ||||
\(151\) | −3.21803 | − | 5.57379i | −0.261879 | − | 0.453588i | 0.704862 | − | 0.709345i | \(-0.251009\pi\) |
−0.966741 | + | 0.255756i | \(0.917676\pi\) | |||||||
\(152\) | 0.610117 | − | 9.15169i | 0.0494870 | − | 0.742300i | ||||
\(153\) | 0.516221 | 0.0417340 | ||||||||
\(154\) | −8.54581 | + | 10.4017i | −0.688641 | + | 0.838197i | ||||
\(155\) | 0.0979610i | 0.00786842i | ||||||||
\(156\) | 2.73377 | − | 12.2879i | 0.218877 | − | 0.983817i | ||||
\(157\) | 4.73349 | − | 2.73288i | 0.377774 | − | 0.218108i | −0.299075 | − | 0.954229i | \(-0.596678\pi\) |
0.676849 | + | 0.736122i | \(0.263345\pi\) | |||||||
\(158\) | 6.06979 | − | 4.86780i | 0.482887 | − | 0.387262i | ||||
\(159\) | 2.83899 | − | 4.91727i | 0.225146 | − | 0.389965i | ||||
\(160\) | −0.190126 | + | 0.181328i | −0.0150308 | + | 0.0143352i | ||||
\(161\) | −3.77897 | − | 17.9858i | −0.297825 | − | 1.41748i | ||||
\(162\) | 0.214614 | + | 1.39783i | 0.0168616 | + | 0.109824i | ||||
\(163\) | 13.2105 | + | 7.62708i | 1.03473 | + | 0.597399i | 0.918335 | − | 0.395805i | \(-0.129534\pi\) |
0.116390 | + | 0.993204i | \(0.462868\pi\) | |||||||
\(164\) | 15.0130 | + | 13.7775i | 1.17232 | + | 1.07584i | ||||
\(165\) | −0.144715 | + | 0.0835514i | −0.0112661 | + | 0.00650447i | ||||
\(166\) | 4.23287 | − | 10.8728i | 0.328534 | − | 0.843893i | ||||
\(167\) | −1.77463 | −0.137325 | −0.0686625 | − | 0.997640i | \(-0.521873\pi\) | ||||
−0.0686625 | + | 0.997640i | \(0.521873\pi\) | |||||||
\(168\) | −7.40955 | + | 1.04815i | −0.571659 | + | 0.0808668i | ||||
\(169\) | −26.6163 | −2.04741 | ||||||||
\(170\) | −0.0123009 | + | 0.0315968i | −0.000943435 | + | 0.00242336i | ||||
\(171\) | 2.80834 | − | 1.62140i | 0.214759 | − | 0.123991i | ||||
\(172\) | 12.3350 | − | 13.4411i | 0.940533 | − | 1.02488i | ||||
\(173\) | 2.23631 | + | 1.29114i | 0.170024 | + | 0.0981633i | 0.582597 | − | 0.812761i | \(-0.302037\pi\) |
−0.412573 | + | 0.910924i | \(0.635370\pi\) | |||||||
\(174\) | −0.492708 | − | 3.20913i | −0.0373521 | − | 0.243284i | ||||
\(175\) | 12.5663 | + | 4.11561i | 0.949920 | + | 0.311111i | ||||
\(176\) | −8.23706 | − | 11.8012i | −0.620892 | − | 0.889546i | ||||
\(177\) | −0.825090 | + | 1.42910i | −0.0620175 | + | 0.107418i | ||||
\(178\) | 16.2888 | − | 13.0632i | 1.22090 | − | 0.979127i | ||||
\(179\) | −17.0438 | + | 9.84027i | −1.27392 | + | 0.735496i | −0.975723 | − | 0.219009i | \(-0.929718\pi\) |
−0.298194 | + | 0.954505i | \(0.596384\pi\) | |||||||
\(180\) | −0.0906725 | − | 0.0201726i | −0.00675833 | − | 0.00150358i | ||||
\(181\) | 25.5613i | 1.89996i | 0.312315 | + | 0.949979i | \(0.398896\pi\) | ||||
−0.312315 | + | 0.949979i | \(0.601104\pi\) | |||||||
\(182\) | 8.28390 | + | 22.0455i | 0.614043 | + | 1.63412i | ||||
\(183\) | −1.27462 | −0.0942230 | ||||||||
\(184\) | 19.6040 | + | 1.30694i | 1.44522 | + | 0.0963488i | ||||
\(185\) | −0.0302257 | − | 0.0523525i | −0.00222224 | − | 0.00384903i | ||||
\(186\) | −1.86617 | − | 2.32698i | −0.136834 | − | 0.170622i | ||||
\(187\) | −1.60847 | − | 0.928652i | −0.117623 | − | 0.0679098i | ||||
\(188\) | −8.87032 | + | 2.78953i | −0.646934 | + | 0.203447i | ||||
\(189\) | −1.76574 | − | 1.97032i | −0.128439 | − | 0.143320i | ||||
\(190\) | 0.0323231 | + | 0.210529i | 0.00234496 | + | 0.0152734i | ||||
\(191\) | 6.98804 | − | 12.1036i | 0.505637 | − | 0.875788i | −0.494342 | − | 0.869267i | \(-0.664591\pi\) |
0.999979 | − | 0.00652098i | \(-0.00207571\pi\) | |||||||
\(192\) | 1.06195 | − | 7.92920i | 0.0766399 | − | 0.572241i | ||||
\(193\) | 9.00706 | + | 15.6007i | 0.648342 | + | 1.12296i | 0.983519 | + | 0.180806i | \(0.0578707\pi\) |
−0.335176 | + | 0.942155i | \(0.608796\pi\) | |||||||
\(194\) | 8.12418 | + | 3.16281i | 0.583282 | + | 0.227076i | ||||
\(195\) | 0.292330i | 0.0209342i | ||||||||
\(196\) | 10.5356 | − | 9.21958i | 0.752545 | − | 0.658541i | ||||
\(197\) | 3.70082i | 0.263672i | 0.991272 | + | 0.131836i | \(0.0420873\pi\) | ||||
−0.991272 | + | 0.131836i | \(0.957913\pi\) | |||||||
\(198\) | 1.84592 | − | 4.74154i | 0.131184 | − | 0.336966i | ||||
\(199\) | 0.882192 | + | 1.52800i | 0.0625369 | + | 0.108317i | 0.895599 | − | 0.444863i | \(-0.146748\pi\) |
−0.833062 | + | 0.553180i | \(0.813414\pi\) | |||||||
\(200\) | −7.86670 | + | 11.7449i | −0.556260 | + | 0.830489i | ||||
\(201\) | −3.88191 | + | 6.72366i | −0.273809 | + | 0.474251i | ||||
\(202\) | −11.1932 | + | 1.71852i | −0.787549 | + | 0.120915i | ||||
\(203\) | 4.05377 | + | 4.52344i | 0.284519 | + | 0.317483i | ||||
\(204\) | −0.309727 | − | 0.984888i | −0.0216852 | − | 0.0689560i | ||||
\(205\) | −0.409799 | − | 0.236597i | −0.0286216 | − | 0.0165247i | ||||
\(206\) | −14.2060 | + | 11.3928i | −0.989776 | + | 0.793772i | ||||
\(207\) | 3.47322 | + | 6.01578i | 0.241405 | + | 0.418126i | ||||
\(208\) | −25.0840 | + | 2.15687i | −1.73927 | + | 0.149552i | ||||
\(209\) | −11.6672 | −0.807038 | ||||||||
\(210\) | 0.162675 | − | 0.0611271i | 0.0112256 | − | 0.00421817i | ||||
\(211\) | 10.6757i | 0.734945i | 0.930034 | + | 0.367473i | \(0.119777\pi\) | ||||
−0.930034 | + | 0.367473i | \(0.880223\pi\) | |||||||
\(212\) | −11.0849 | − | 2.46614i | −0.761316 | − | 0.169375i | ||||
\(213\) | −10.2468 | + | 5.91599i | −0.702099 | + | 0.405357i | ||||
\(214\) | 9.03975 | + | 11.2719i | 0.617944 | + | 0.770531i | ||||
\(215\) | −0.211825 | + | 0.366892i | −0.0144464 | + | 0.0250218i | ||||
\(216\) | 2.53814 | − | 1.24814i | 0.172698 | − | 0.0849254i | ||||
\(217\) | 5.30323 | + | 1.73688i | 0.360007 | + | 0.117907i | ||||
\(218\) | 16.3467 | − | 2.50975i | 1.10714 | − | 0.169982i | ||||
\(219\) | −9.64802 | − | 5.57028i | −0.651953 | − | 0.376405i | ||||
\(220\) | 0.246234 | + | 0.225970i | 0.0166011 | + | 0.0152349i | ||||
\(221\) | −2.81386 | + | 1.62459i | −0.189281 | + | 0.109281i | ||||
\(222\) | 1.71531 | + | 0.667784i | 0.115124 | + | 0.0448187i | ||||
\(223\) | −22.2212 | −1.48804 | −0.744020 | − | 0.668158i | \(-0.767083\pi\) | ||||
−0.744020 | + | 0.668158i | \(0.767083\pi\) | |||||||
\(224\) | 6.44540 | + | 13.5077i | 0.430651 | + | 0.902518i | ||||
\(225\) | −4.99784 | −0.333190 | ||||||||
\(226\) | 11.9725 | + | 4.66099i | 0.796400 | + | 0.310045i | ||||
\(227\) | 17.0728 | − | 9.85697i | 1.13316 | − | 0.654230i | 0.188432 | − | 0.982086i | \(-0.439660\pi\) |
0.944728 | + | 0.327856i | \(0.106326\pi\) | |||||||
\(228\) | −4.77841 | − | 4.38517i | −0.316458 | − | 0.290415i | ||||
\(229\) | −6.06806 | − | 3.50340i | −0.400989 | − | 0.231511i | 0.285922 | − | 0.958253i | \(-0.407700\pi\) |
−0.686911 | + | 0.726742i | \(0.741034\pi\) | |||||||
\(230\) | −0.450976 | + | 0.0692397i | −0.0297365 | + | 0.00456553i | ||||
\(231\) | 1.95731 | + | 9.31571i | 0.128781 | + | 0.612929i | ||||
\(232\) | −5.82703 | + | 2.86547i | −0.382563 | + | 0.188128i | ||||
\(233\) | 12.3717 | − | 21.4284i | 0.810495 | − | 1.40382i | −0.102023 | − | 0.994782i | \(-0.532532\pi\) |
0.912518 | − | 0.409036i | \(-0.134135\pi\) | |||||||
\(234\) | −5.56893 | − | 6.94404i | −0.364052 | − | 0.453946i | ||||
\(235\) | 0.187006 | − | 0.107968i | 0.0121989 | − | 0.00704303i | ||||
\(236\) | 3.22159 | + | 0.716731i | 0.209708 | + | 0.0466552i | ||||
\(237\) | − | 5.50172i | − | 0.357375i | ||||||
\(238\) | 1.49243 | + | 1.22614i | 0.0967399 | + | 0.0794790i | ||||
\(239\) | 21.9503 | 1.41985 | 0.709924 | − | 0.704278i | \(-0.248729\pi\) | ||||
0.709924 | + | 0.704278i | \(0.248729\pi\) | |||||||
\(240\) | 0.0159156 | + | 0.185096i | 0.00102735 | + | 0.0119479i | ||||
\(241\) | 7.39162 | + | 12.8027i | 0.476136 | + | 0.824692i | 0.999626 | − | 0.0273397i | \(-0.00870359\pi\) |
−0.523490 | + | 0.852032i | \(0.675370\pi\) | |||||||
\(242\) | −2.14560 | + | 1.72071i | −0.137924 | + | 0.110612i | ||||
\(243\) | 0.866025 | + | 0.500000i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | 0.764761 | + | 2.43183i | 0.0489588 | + | 0.155682i | ||||
\(245\) | −0.192327 | + | 0.262123i | −0.0122873 | + | 0.0167464i | ||||
\(246\) | 14.2416 | − | 2.18656i | 0.908013 | − | 0.139410i | ||||
\(247\) | −10.2053 | + | 17.6761i | −0.649349 | + | 1.12471i | ||||
\(248\) | −3.31992 | + | 4.95660i | −0.210815 | + | 0.314744i | ||||
\(249\) | −4.12515 | − | 7.14497i | −0.261421 | − | 0.452794i | ||||
\(250\) | 0.238236 | − | 0.611947i | 0.0150674 | − | 0.0387029i | ||||
\(251\) | − | 14.4785i | − | 0.913876i | −0.889499 | − | 0.456938i | \(-0.848946\pi\) | ||
0.889499 | − | 0.456938i | \(-0.151054\pi\) | |||||||
\(252\) | −2.69971 | + | 4.55099i | −0.170066 | + | 0.286686i | ||||
\(253\) | − | 24.9925i | − | 1.57126i | ||||||
\(254\) | −18.5897 | − | 7.23713i | −1.16642 | − | 0.454098i | ||||
\(255\) | 0.0119879 | + | 0.0207636i | 0.000750709 | + | 0.00130027i | ||||
\(256\) | −15.7651 | + | 2.73135i | −0.985321 | + | 0.170710i | ||||
\(257\) | −7.93731 | + | 13.7478i | −0.495116 | + | 0.857566i | −0.999984 | − | 0.00563049i | \(-0.998208\pi\) |
0.504868 | + | 0.863196i | \(0.331541\pi\) | |||||||
\(258\) | −1.95762 | − | 12.7505i | −0.121876 | − | 0.793812i | ||||
\(259\) | −3.37007 | + | 0.708080i | −0.209406 | + | 0.0439980i | ||||
\(260\) | 0.557731 | − | 0.175395i | 0.0345890 | − | 0.0108775i | ||||
\(261\) | −1.98821 | − | 1.14789i | −0.123067 | − | 0.0710529i | ||||
\(262\) | −15.1392 | − | 18.8774i | −0.935301 | − | 1.16625i | ||||
\(263\) | −0.162710 | − | 0.281822i | −0.0100331 | − | 0.0173779i | 0.860965 | − | 0.508664i | \(-0.169860\pi\) |
−0.870998 | + | 0.491286i | \(0.836527\pi\) | |||||||
\(264\) | −10.1538 | − | 0.676926i | −0.624925 | − | 0.0416619i | ||||
\(265\) | 0.263712 | 0.0161997 | ||||||||
\(266\) | 11.9703 | + | 1.98288i | 0.733947 | + | 0.121578i | ||||
\(267\) | − | 14.7644i | − | 0.903565i | ||||||
\(268\) | 15.1571 | + | 3.37210i | 0.925864 | + | 0.205984i | ||||
\(269\) | −20.3761 | + | 11.7642i | −1.24235 | + | 0.717273i | −0.969573 | − | 0.244803i | \(-0.921277\pi\) |
−0.272780 | + | 0.962076i | \(0.587943\pi\) | |||||||
\(270\) | −0.0512403 | + | 0.0410933i | −0.00311838 | + | 0.00250086i | ||||
\(271\) | −0.751567 | + | 1.30175i | −0.0456544 | + | 0.0790758i | −0.887950 | − | 0.459941i | \(-0.847871\pi\) |
0.842295 | + | 0.539017i | \(0.181204\pi\) | |||||||
\(272\) | −1.69322 | + | 1.18184i | −0.102666 | + | 0.0716598i | ||||
\(273\) | 15.8256 | + | 5.18309i | 0.957809 | + | 0.313695i | ||||
\(274\) | −1.06703 | − | 6.94987i | −0.0644619 | − | 0.419857i | ||||
\(275\) | 15.5726 | + | 8.99084i | 0.939062 | + | 0.542168i | ||||
\(276\) | 9.39352 | − | 10.2359i | 0.565423 | − | 0.616128i | ||||
\(277\) | 12.6685 | − | 7.31418i | 0.761178 | − | 0.439466i | −0.0685405 | − | 0.997648i | \(-0.521834\pi\) |
0.829719 | + | 0.558182i | \(0.188501\pi\) | |||||||
\(278\) | −2.67030 | + | 6.85908i | −0.160154 | + | 0.411380i | ||||
\(279\) | −2.10920 | −0.126274 | ||||||||
\(280\) | −0.214226 | − | 0.273688i | −0.0128025 | − | 0.0163560i | ||||
\(281\) | 21.3285 | 1.27235 | 0.636175 | − | 0.771545i | \(-0.280516\pi\) | ||||
0.636175 | + | 0.771545i | \(0.280516\pi\) | |||||||
\(282\) | −2.38535 | + | 6.12716i | −0.142046 | + | 0.364867i | ||||
\(283\) | −15.0068 | + | 8.66416i | −0.892059 | + | 0.515031i | −0.874616 | − | 0.484817i | \(-0.838886\pi\) |
−0.0174438 | + | 0.999848i | \(0.505553\pi\) | |||||||
\(284\) | 17.4350 | + | 16.0001i | 1.03457 | + | 0.949434i | ||||
\(285\) | 0.130433 | + | 0.0753053i | 0.00772616 | + | 0.00446070i | ||||
\(286\) | 4.86007 | + | 31.6549i | 0.287382 | + | 1.87179i | ||||
\(287\) | −20.0743 | + | 17.9900i | −1.18495 | + | 1.06191i | ||||
\(288\) | −3.90416 | − | 4.09359i | −0.230055 | − | 0.241217i | ||||
\(289\) | 8.36676 | − | 14.4917i | 0.492162 | − | 0.852450i | ||||
\(290\) | 0.117637 | − | 0.0943415i | 0.00690787 | − | 0.00553992i | ||||
\(291\) | 5.33874 | − | 3.08232i | 0.312962 | − | 0.180689i | ||||
\(292\) | −4.83874 | + | 21.7494i | −0.283166 | + | 1.27279i | ||||
\(293\) | − | 29.6927i | − | 1.73466i | −0.497730 | − | 0.867332i | \(-0.665833\pi\) | ||
0.497730 | − | 0.867332i | \(-0.334167\pi\) | |||||||
\(294\) | −0.424920 | − | 9.89037i | −0.0247818 | − | 0.576818i | ||||
\(295\) | −0.0766421 | −0.00446228 | ||||||||
\(296\) | 0.244886 | − | 3.67327i | 0.0142337 | − | 0.213504i | ||||
\(297\) | −1.79894 | − | 3.11586i | −0.104385 | − | 0.180801i | ||||
\(298\) | −0.741592 | − | 0.924710i | −0.0429593 | − | 0.0535670i | ||||
\(299\) | −37.8643 | − | 21.8609i | −2.18975 | − | 1.26425i | ||||
\(300\) | 2.99865 | + | 9.53529i | 0.173127 | + | 0.550520i | ||||
\(301\) | 16.1064 | + | 17.9725i | 0.928358 | + | 1.03592i | ||||
\(302\) | 1.38127 | + | 8.99654i | 0.0794829 | + | 0.517693i | ||||
\(303\) | −4.00375 | + | 6.93470i | −0.230010 | + | 0.398388i | ||||
\(304\) | −5.49939 | + | 11.7477i | −0.315411 | + | 0.673776i | ||||
\(305\) | −0.0295998 | − | 0.0512683i | −0.00169488 | − | 0.00293562i | ||||
\(306\) | −0.680310 | − | 0.264850i | −0.0388907 | − | 0.0151405i | ||||
\(307\) | 4.88243i | 0.278655i | 0.990246 | + | 0.139327i | \(0.0444940\pi\) | ||||
−0.990246 | + | 0.139327i | \(0.955506\pi\) | |||||||
\(308\) | 16.5989 | − | 9.32364i | 0.945811 | − | 0.531264i | ||||
\(309\) | 12.8764i | 0.732514i | ||||||||
\(310\) | 0.0502595 | − | 0.129100i | 0.00285455 | − | 0.00733236i | ||||
\(311\) | −9.08277 | − | 15.7318i | −0.515036 | − | 0.892069i | −0.999848 | − | 0.0174504i | \(-0.994445\pi\) |
0.484811 | − | 0.874619i | \(-0.338888\pi\) | |||||||
\(312\) | −9.90712 | + | 14.7912i | −0.560880 | + | 0.837387i | ||||
\(313\) | 6.80533 | − | 11.7872i | 0.384660 | − | 0.666251i | −0.607062 | − | 0.794655i | \(-0.707652\pi\) |
0.991722 | + | 0.128404i | \(0.0409853\pi\) | |||||||
\(314\) | −7.64023 | + | 1.17303i | −0.431163 | + | 0.0661978i | ||||
\(315\) | 0.0382461 | − | 0.116778i | 0.00215493 | − | 0.00657967i | ||||
\(316\) | −10.4966 | + | 3.30097i | −0.590482 | + | 0.185694i | ||||
\(317\) | 21.6407 | + | 12.4943i | 1.21546 | + | 0.701749i | 0.963944 | − | 0.266103i | \(-0.0857363\pi\) |
0.251520 | + | 0.967852i | \(0.419070\pi\) | |||||||
\(318\) | −6.26424 | + | 5.02375i | −0.351281 | + | 0.281718i | ||||
\(319\) | 4.13000 | + | 7.15336i | 0.231235 | + | 0.400511i | ||||
\(320\) | 0.343592 | − | 0.141421i | 0.0192074 | − | 0.00790565i | ||||
\(321\) | 10.2170 | 0.570255 | ||||||||
\(322\) | −4.24756 | + | 25.6417i | −0.236707 | + | 1.42896i | ||||
\(323\) | 1.67400i | 0.0931437i | ||||||||
\(324\) | 0.434335 | − | 1.95227i | 0.0241297 | − | 0.108459i | ||||
\(325\) | 27.2427 | − | 15.7286i | 1.51115 | − | 0.872465i | ||||
\(326\) | −13.4965 | − | 16.8292i | −0.747504 | − | 0.932083i | ||||
\(327\) | 5.84714 | − | 10.1275i | 0.323348 | − | 0.560054i | ||||
\(328\) | −12.7165 | − | 25.8594i | −0.702152 | − | 1.42785i | ||||
\(329\) | −2.52929 | − | 12.0380i | −0.139445 | − | 0.663679i | ||||
\(330\) | 0.233582 | − | 0.0358626i | 0.0128583 | − | 0.00197417i | ||||
\(331\) | 6.34783 | + | 3.66492i | 0.348908 | + | 0.201442i | 0.664204 | − | 0.747551i | \(-0.268771\pi\) |
−0.315296 | + | 0.948993i | \(0.602104\pi\) | |||||||
\(332\) | −11.1567 | + | 12.1572i | −0.612304 | + | 0.667213i | ||||
\(333\) | 1.12720 | − | 0.650790i | 0.0617702 | − | 0.0356631i | ||||
\(334\) | 2.33873 | + | 0.910486i | 0.127969 | + | 0.0498196i | ||||
\(335\) | −0.360588 | −0.0197010 | ||||||||
\(336\) | 10.3026 | + | 2.42019i | 0.562051 | + | 0.132032i | ||||
\(337\) | 1.49107 | 0.0812237 | 0.0406118 | − | 0.999175i | \(-0.487069\pi\) | ||||
0.0406118 | + | 0.999175i | \(0.487069\pi\) | |||||||
\(338\) | 35.0768 | + | 13.6557i | 1.90793 | + | 0.742771i | ||||
\(339\) | 7.86764 | − | 4.54238i | 0.427311 | − | 0.246708i | ||||
\(340\) | 0.0324219 | − | 0.0353293i | 0.00175832 | − | 0.00191600i | ||||
\(341\) | 6.57197 | + | 3.79433i | 0.355892 | + | 0.205474i | ||||
\(342\) | −4.53289 | + | 0.695948i | −0.245111 | + | 0.0376326i | ||||
\(343\) | 10.7803 | + | 15.0594i | 0.582083 | + | 0.813129i | ||||
\(344\) | −23.1519 | + | 11.3851i | −1.24827 | + | 0.613842i | ||||
\(345\) | −0.161312 | + | 0.279401i | −0.00868477 | + | 0.0150425i | ||||
\(346\) | −2.28474 | − | 2.84890i | −0.122828 | − | 0.153158i | ||||
\(347\) | 20.6494 | − | 11.9219i | 1.10852 | − | 0.640003i | 0.170073 | − | 0.985431i | \(-0.445600\pi\) |
0.938445 | + | 0.345428i | \(0.112266\pi\) | |||||||
\(348\) | −0.997143 | + | 4.48200i | −0.0534525 | + | 0.240260i | ||||
\(349\) | − | 11.5733i | − | 0.619504i | −0.950817 | − | 0.309752i | \(-0.899754\pi\) | ||
0.950817 | − | 0.309752i | \(-0.100246\pi\) | |||||||
\(350\) | −14.4491 | − | 11.8710i | −0.772338 | − | 0.634533i | ||||
\(351\) | −6.29415 | −0.335957 | ||||||||
\(352\) | 4.80069 | + | 19.7784i | 0.255877 | + | 1.05419i | ||||
\(353\) | −5.01488 | − | 8.68603i | −0.266915 | − | 0.462311i | 0.701148 | − | 0.713015i | \(-0.252671\pi\) |
−0.968064 | + | 0.250705i | \(0.919338\pi\) | |||||||
\(354\) | 1.82057 | − | 1.46004i | 0.0967620 | − | 0.0776004i | ||||
\(355\) | −0.475909 | − | 0.274766i | −0.0252586 | − | 0.0145831i | ||||
\(356\) | −28.1687 | + | 8.85845i | −1.49294 | + | 0.469497i | ||||
\(357\) | 1.33661 | − | 0.280832i | 0.0707408 | − | 0.0148632i | ||||
\(358\) | 27.5101 | − | 4.22371i | 1.45396 | − | 0.223230i | ||||
\(359\) | −1.80639 | + | 3.12876i | −0.0953375 | + | 0.165129i | −0.909749 | − | 0.415158i | \(-0.863726\pi\) |
0.814412 | + | 0.580287i | \(0.197060\pi\) | |||||||
\(360\) | 0.109145 | + | 0.0731049i | 0.00575243 | + | 0.00385297i | ||||
\(361\) | −4.24214 | − | 7.34760i | −0.223271 | − | 0.386716i | ||||
\(362\) | 13.1144 | − | 33.6864i | 0.689277 | − | 1.77052i | ||||
\(363\) | 1.94479i | 0.102075i | ||||||||
\(364\) | 0.393529 | − | 33.3032i | 0.0206265 | − | 1.74556i | ||||
\(365\) | − | 0.517420i | − | 0.0270830i | ||||||
\(366\) | 1.67979 | + | 0.653954i | 0.0878038 | + | 0.0341827i | ||||
\(367\) | −11.0055 | − | 19.0620i | −0.574480 | − | 0.995029i | −0.996098 | − | 0.0882554i | \(-0.971871\pi\) |
0.421617 | − | 0.906774i | \(-0.361463\pi\) | |||||||
\(368\) | −25.1649 | − | 11.7803i | −1.31181 | − | 0.614091i | ||||
\(369\) | 5.09417 | − | 8.82337i | 0.265192 | − | 0.459326i | ||||
\(370\) | 0.0129737 | + | 0.0845012i | 0.000674471 | + | 0.00439301i | ||||
\(371\) | 4.67568 | − | 14.2763i | 0.242749 | − | 0.741190i | ||||
\(372\) | 1.26549 | + | 4.02410i | 0.0656128 | + | 0.208640i | ||||
\(373\) | −27.9915 | − | 16.1609i | −1.44934 | − | 0.836780i | −0.450903 | − | 0.892573i | \(-0.648898\pi\) |
−0.998442 | + | 0.0557935i | \(0.982231\pi\) | |||||||
\(374\) | 1.64330 | + | 2.04908i | 0.0849731 | + | 0.105955i | ||||
\(375\) | −0.232173 | − | 0.402136i | −0.0119894 | − | 0.0207662i | ||||
\(376\) | 13.1211 | + | 0.874744i | 0.676668 | + | 0.0451115i | ||||
\(377\) | 14.4500 | 0.744215 | ||||||||
\(378\) | 1.31613 | + | 3.50254i | 0.0676942 | + | 0.180151i | ||||
\(379\) | 16.6668i | 0.856115i | 0.903751 | + | 0.428058i | \(0.140802\pi\) | ||||
−0.903751 | + | 0.428058i | \(0.859198\pi\) | |||||||
\(380\) | 0.0654155 | − | 0.294032i | 0.00335575 | − | 0.0150835i | ||||
\(381\) | −12.2161 | + | 7.05296i | −0.625849 | + | 0.361334i | ||||
\(382\) | −15.4192 | + | 12.3657i | −0.788912 | + | 0.632686i | ||||
\(383\) | −12.1998 | + | 21.1307i | −0.623383 | + | 1.07973i | 0.365468 | + | 0.930824i | \(0.380909\pi\) |
−0.988851 | + | 0.148907i | \(0.952424\pi\) | |||||||
\(384\) | −5.46764 | + | 9.90479i | −0.279019 | + | 0.505452i | ||||
\(385\) | −0.329246 | + | 0.295060i | −0.0167799 | + | 0.0150377i | ||||
\(386\) | −3.86608 | − | 25.1808i | −0.196778 | − | 1.28167i | ||||
\(387\) | −7.89955 | − | 4.56081i | −0.401557 | − | 0.231839i | ||||
\(388\) | −9.08389 | − | 8.33632i | −0.461164 | − | 0.423213i | ||||
\(389\) | 7.38356 | − | 4.26290i | 0.374362 | − | 0.216138i | −0.301001 | − | 0.953624i | \(-0.597321\pi\) |
0.675362 | + | 0.737486i | \(0.263987\pi\) | |||||||
\(390\) | 0.149982 | − | 0.385252i | 0.00759462 | − | 0.0195080i | ||||
\(391\) | −3.58589 | −0.181346 | ||||||||
\(392\) | −18.6147 | + | 6.74481i | −0.940185 | + | 0.340664i | ||||
\(393\) | −17.1107 | −0.863120 | ||||||||
\(394\) | 1.89873 | − | 4.87719i | 0.0956565 | − | 0.245709i | ||||
\(395\) | 0.221292 | − | 0.127763i | 0.0111344 | − | 0.00642845i | ||||
\(396\) | −4.86535 | + | 5.30165i | −0.244493 | + | 0.266418i | ||||
\(397\) | −5.91805 | − | 3.41679i | −0.297019 | − | 0.171484i | 0.344084 | − | 0.938939i | \(-0.388189\pi\) |
−0.641103 | + | 0.767455i | \(0.721523\pi\) | |||||||
\(398\) | −0.378661 | − | 2.46632i | −0.0189806 | − | 0.123625i | ||||
\(399\) | 6.38934 | − | 5.72593i | 0.319867 | − | 0.286655i | ||||
\(400\) | 16.3931 | − | 11.4421i | 0.819653 | − | 0.572107i | ||||
\(401\) | 5.24408 | − | 9.08301i | 0.261877 | − | 0.453584i | −0.704864 | − | 0.709343i | \(-0.748992\pi\) |
0.966741 | + | 0.255759i | \(0.0823253\pi\) | |||||||
\(402\) | 8.56545 | − | 6.86925i | 0.427206 | − | 0.342607i | ||||
\(403\) | 11.4970 | − | 6.63780i | 0.572707 | − | 0.330652i | ||||
\(404\) | 15.6328 | + | 3.47794i | 0.777761 | + | 0.173034i | ||||
\(405\) | 0.0464447i | 0.00230786i | ||||||||
\(406\) | −3.02155 | − | 8.04110i | −0.149957 | − | 0.399073i | ||||
\(407\) | −4.68294 | −0.232125 | ||||||||
\(408\) | −0.0971245 | + | 1.45686i | −0.00480838 | + | 0.0721253i | ||||
\(409\) | −4.01466 | − | 6.95360i | −0.198512 | − | 0.343833i | 0.749534 | − | 0.661966i | \(-0.230278\pi\) |
−0.948046 | + | 0.318133i | \(0.896944\pi\) | |||||||
\(410\) | 0.418672 | + | 0.522054i | 0.0206768 | + | 0.0257824i | ||||
\(411\) | −4.30578 | − | 2.48594i | −0.212388 | − | 0.122622i | ||||
\(412\) | 24.5667 | − | 7.72571i | 1.21031 | − | 0.380618i | ||||
\(413\) | −1.35888 | + | 4.14911i | −0.0668663 | + | 0.204164i | ||||
\(414\) | −1.49080 | − | 9.70996i | −0.0732688 | − | 0.477218i | ||||
\(415\) | 0.191591 | − | 0.331846i | 0.00940485 | − | 0.0162897i | ||||
\(416\) | 34.1640 | + | 10.0271i | 1.67503 | + | 0.491617i | ||||
\(417\) | 2.60234 | + | 4.50739i | 0.127437 | + | 0.220728i | ||||
\(418\) | 15.3758 | + | 5.98594i | 0.752057 | + | 0.292782i | ||||
\(419\) | 16.7264i | 0.817139i | 0.912727 | + | 0.408570i | \(0.133972\pi\) | ||||
−0.912727 | + | 0.408570i | \(0.866028\pi\) | |||||||
\(420\) | −0.245745 | − | 0.00290386i | −0.0119911 | − | 0.000141694i | ||||
\(421\) | − | 14.7157i | − | 0.717199i | −0.933492 | − | 0.358599i | \(-0.883254\pi\) | ||
0.933492 | − | 0.358599i | \(-0.116746\pi\) | |||||||
\(422\) | 5.47723 | − | 14.0691i | 0.266627 | − | 0.684875i | ||||
\(423\) | 2.32465 | + | 4.02641i | 0.113028 | + | 0.195771i | ||||
\(424\) | 13.3432 | + | 8.93724i | 0.648003 | + | 0.434031i | ||||
\(425\) | 1.28999 | − | 2.23434i | 0.0625739 | − | 0.108381i | ||||
\(426\) | 16.5391 | − | 2.53930i | 0.801324 | − | 0.123030i | ||||
\(427\) | −3.30028 | + | 0.693416i | −0.159712 | + | 0.0335568i | ||||
\(428\) | −6.13006 | − | 19.4928i | −0.296308 | − | 0.942218i | ||||
\(429\) | 19.6117 | + | 11.3228i | 0.946862 | + | 0.546671i | ||||
\(430\) | 0.467394 | − | 0.374837i | 0.0225397 | − | 0.0180762i | ||||
\(431\) | 1.57036 | + | 2.71995i | 0.0756416 | + | 0.131015i | 0.901365 | − | 0.433060i | \(-0.142566\pi\) |
−0.825723 | + | 0.564075i | \(0.809233\pi\) | |||||||
\(432\) | −3.98529 | + | 0.342679i | −0.191743 | + | 0.0164871i | ||||
\(433\) | 33.6748 | 1.61831 | 0.809155 | − | 0.587595i | \(-0.199925\pi\) | ||||
0.809155 | + | 0.587595i | \(0.199925\pi\) | |||||||
\(434\) | −6.09784 | − | 5.00983i | −0.292706 | − | 0.240479i | ||||
\(435\) | − | 0.106627i | − | 0.00511239i | ||||||
\(436\) | −22.8304 | − | 5.07924i | −1.09338 | − | 0.243251i | ||||
\(437\) | −19.5080 | + | 11.2629i | −0.933192 | + | 0.538779i | ||||
\(438\) | 9.85693 | + | 12.2909i | 0.470982 | + | 0.587280i | ||||
\(439\) | 3.68016 | − | 6.37423i | 0.175645 | − | 0.304225i | −0.764740 | − | 0.644340i | \(-0.777132\pi\) |
0.940384 | + | 0.340114i | \(0.110466\pi\) | |||||||
\(440\) | −0.208568 | − | 0.424130i | −0.00994310 | − | 0.0202196i | ||||
\(441\) | −5.64377 | − | 4.14100i | −0.268751 | − | 0.197190i | ||||
\(442\) | 4.54180 | − | 0.697317i | 0.216032 | − | 0.0331680i | ||||
\(443\) | −22.3955 | − | 12.9300i | −1.06404 | − | 0.614325i | −0.137494 | − | 0.990503i | \(-0.543905\pi\) |
−0.926547 | + | 0.376178i | \(0.877238\pi\) | |||||||
\(444\) | −1.91794 | − | 1.76010i | −0.0910213 | − | 0.0835307i | ||||
\(445\) | 0.593857 | − | 0.342863i | 0.0281515 | − | 0.0162533i | ||||
\(446\) | 29.2845 | + | 11.4007i | 1.38666 | + | 0.539839i | ||||
\(447\) | −0.838167 | −0.0396439 | ||||||||
\(448\) | −1.56399 | − | 21.1081i | −0.0738914 | − | 0.997266i | ||||
\(449\) | −19.7508 | −0.932096 | −0.466048 | − | 0.884759i | \(-0.654323\pi\) | ||||
−0.466048 | + | 0.884759i | \(0.654323\pi\) | |||||||
\(450\) | 6.58649 | + | 2.56417i | 0.310490 | + | 0.120876i | ||||
\(451\) | −31.7455 | + | 18.3283i | −1.49484 | + | 0.863044i | ||||
\(452\) | −13.3868 | − | 12.2851i | −0.629663 | − | 0.577844i | ||||
\(453\) | 5.57379 | + | 3.21803i | 0.261879 | + | 0.151196i | ||||
\(454\) | −27.5568 | + | 4.23088i | −1.29331 | + | 0.198565i | ||||
\(455\) | 0.159032 | + | 0.756906i | 0.00745555 | + | 0.0354843i | ||||
\(456\) | 4.04747 | + | 8.23066i | 0.189540 | + | 0.385436i | ||||
\(457\) | −1.28552 | + | 2.22658i | −0.0601339 | + | 0.104155i | −0.894525 | − | 0.447018i | \(-0.852486\pi\) |
0.834391 | + | 0.551173i | \(0.185819\pi\) | |||||||
\(458\) | 6.19946 | + | 7.73027i | 0.289682 | + | 0.361212i | ||||
\(459\) | −0.447060 | + | 0.258110i | −0.0208670 | + | 0.0120476i | ||||
\(460\) | 0.629850 | + | 0.140127i | 0.0293669 | + | 0.00653347i | ||||
\(461\) | 30.2081i | 1.40693i | 0.710728 | + | 0.703467i | \(0.248366\pi\) | ||||
−0.710728 | + | 0.703467i | \(0.751634\pi\) | |||||||
\(462\) | 2.20001 | − | 13.2811i | 0.102354 | − | 0.617892i | ||||
\(463\) | −20.1707 | −0.937412 | −0.468706 | − | 0.883354i | \(-0.655280\pi\) | ||||
−0.468706 | + | 0.883354i | \(0.655280\pi\) | |||||||
\(464\) | 9.14940 | − | 0.786718i | 0.424750 | − | 0.0365225i | ||||
\(465\) | −0.0489805 | − | 0.0848367i | −0.00227142 | − | 0.00393421i | ||||
\(466\) | −27.2982 | + | 21.8924i | −1.26456 | + | 1.01414i | ||||
\(467\) | 7.99333 | + | 4.61495i | 0.369887 | + | 0.213554i | 0.673409 | − | 0.739270i | \(-0.264829\pi\) |
−0.303522 | + | 0.952824i | \(0.598163\pi\) | |||||||
\(468\) | 3.77642 | + | 12.0085i | 0.174565 | + | 0.555093i | ||||
\(469\) | −6.39332 | + | 19.5208i | −0.295216 | + | 0.901389i | ||||
\(470\) | −0.301842 | + | 0.0463427i | −0.0139229 | + | 0.00213763i | ||||
\(471\) | −2.73288 | + | 4.73349i | −0.125925 | + | 0.218108i | ||||
\(472\) | −3.87791 | − | 2.59742i | −0.178495 | − | 0.119556i | ||||
\(473\) | 16.4093 | + | 28.4217i | 0.754499 | + | 1.30683i | ||||
\(474\) | −2.82269 | + | 7.25054i | −0.129651 | + | 0.333028i | ||||
\(475\) | − | 16.2070i | − | 0.743627i | ||||||
\(476\) | −1.33774 | − | 2.38159i | −0.0613154 | − | 0.109160i | ||||
\(477\) | 5.67797i | 0.259976i | ||||||||
\(478\) | −28.9276 | − | 11.2617i | −1.32312 | − | 0.515100i | ||||
\(479\) | 19.6055 | + | 33.9577i | 0.895797 | + | 1.55157i | 0.832815 | + | 0.553551i | \(0.186728\pi\) |
0.0629820 | + | 0.998015i | \(0.479939\pi\) | |||||||
\(480\) | 0.0739899 | − | 0.252097i | 0.00337716 | − | 0.0115066i | ||||
\(481\) | −4.09617 | + | 7.09477i | −0.186769 | + | 0.323494i | ||||
\(482\) | −3.17269 | − | 20.6645i | −0.144512 | − | 0.941243i | ||||
\(483\) | 12.2656 | + | 13.6867i | 0.558104 | + | 0.622766i | ||||
\(484\) | 3.71044 | − | 1.16685i | 0.168656 | − | 0.0530389i | ||||
\(485\) | 0.247956 | + | 0.143157i | 0.0112591 | + | 0.00650045i | ||||
\(486\) | −0.884778 | − | 1.10325i | −0.0401344 | − | 0.0500446i | ||||
\(487\) | −3.06454 | − | 5.30794i | −0.138868 | − | 0.240526i | 0.788201 | − | 0.615418i | \(-0.211013\pi\) |
−0.927068 | + | 0.374893i | \(0.877680\pi\) | |||||||
\(488\) | 0.239815 | − | 3.59720i | 0.0108559 | − | 0.162838i | ||||
\(489\) | −15.2542 | −0.689817 | ||||||||
\(490\) | 0.387946 | − | 0.246769i | 0.0175256 | − | 0.0111479i | ||||
\(491\) | 20.5291i | 0.926463i | 0.886237 | + | 0.463232i | \(0.153310\pi\) | ||||
−0.886237 | + | 0.463232i | \(0.846690\pi\) | |||||||
\(492\) | −19.8904 | − | 4.42516i | −0.896728 | − | 0.199502i | ||||
\(493\) | 1.02636 | − | 0.592567i | 0.0462248 | − | 0.0266879i | ||||
\(494\) | 22.5181 | − | 18.0589i | 1.01314 | − | 0.812508i | ||||
\(495\) | 0.0835514 | − | 0.144715i | 0.00375536 | − | 0.00650447i | ||||
\(496\) | 6.91822 | − | 4.82883i | 0.310637 | − | 0.216821i | ||||
\(497\) | −23.3128 | + | 20.8922i | −1.04572 | + | 0.937143i | ||||
\(498\) | 1.77063 | + | 11.5326i | 0.0793437 | + | 0.516786i | ||||
\(499\) | 9.57940 | + | 5.53067i | 0.428833 | + | 0.247587i | 0.698849 | − | 0.715269i | \(-0.253696\pi\) |
−0.270016 | + | 0.962856i | \(0.587029\pi\) | |||||||
\(500\) | −0.627927 | + | 0.684237i | −0.0280817 | + | 0.0306000i | ||||
\(501\) | 1.53688 | − | 0.887315i | 0.0686625 | − | 0.0396423i | ||||
\(502\) | −7.42829 | + | 19.0808i | −0.331541 | + | 0.851616i | ||||
\(503\) | 2.64242 | 0.117820 | 0.0589099 | − | 0.998263i | \(-0.481238\pi\) | ||||
0.0589099 | + | 0.998263i | \(0.481238\pi\) | |||||||
\(504\) | 5.89278 | − | 4.61250i | 0.262485 | − | 0.205457i | ||||
\(505\) | −0.371906 | −0.0165496 | ||||||||
\(506\) | −12.8225 | + | 32.9368i | −0.570032 | + | 1.46422i | ||||
\(507\) | 23.0504 | − | 13.3082i | 1.02371 | − | 0.591036i | ||||
\(508\) | 20.7857 | + | 19.0751i | 0.922218 | + | 0.846323i | ||||
\(509\) | −28.9903 | − | 16.7376i | −1.28497 | − | 0.741880i | −0.307220 | − | 0.951638i | \(-0.599399\pi\) |
−0.977753 | + | 0.209758i | \(0.932732\pi\) | |||||||
\(510\) | −0.00514552 | − | 0.0335141i | −0.000227847 | − | 0.00148403i | ||||
\(511\) | −28.0111 | − | 9.17400i | −1.23914 | − | 0.405834i | ||||
\(512\) | 22.1777 | + | 4.48885i | 0.980125 | + | 0.198381i | ||||
\(513\) | −1.62140 | + | 2.80834i | −0.0715864 | + | 0.123991i | ||||
\(514\) | 17.5137 | − | 14.0455i | 0.772498 | − | 0.619521i | ||||
\(515\) | −0.517919 | + | 0.299021i | −0.0228222 | + | 0.0131764i | ||||
\(516\) | −3.96184 | + | 17.8078i | −0.174410 | + | 0.783947i | ||||
\(517\) | − | 16.7277i | − | 0.735682i | ||||||
\(518\) | 4.80459 | + | 0.795881i | 0.211102 | + | 0.0349690i | ||||
\(519\) | −2.58227 | −0.113349 | ||||||||
\(520\) | −0.825003 | − | 0.0550005i | −0.0361788 | − | 0.00241193i | ||||
\(521\) | 12.4133 | + | 21.5005i | 0.543837 | + | 0.941954i | 0.998679 | + | 0.0513815i | \(0.0163625\pi\) |
−0.454842 | + | 0.890572i | \(0.650304\pi\) | |||||||
\(522\) | 2.03126 | + | 2.53284i | 0.0889060 | + | 0.110859i | ||||
\(523\) | 4.00205 | + | 2.31058i | 0.174997 | + | 0.101035i | 0.584940 | − | 0.811076i | \(-0.301118\pi\) |
−0.409943 | + | 0.912111i | \(0.634451\pi\) | |||||||
\(524\) | 10.2662 | + | 32.6452i | 0.448482 | + | 1.42611i | ||||
\(525\) | −12.9405 | + | 2.71891i | −0.564770 | + | 0.118663i | ||||
\(526\) | 0.0698396 | + | 0.454883i | 0.00304515 | + | 0.0198338i | ||||
\(527\) | 0.544406 | − | 0.942938i | 0.0237147 | − | 0.0410750i | ||||
\(528\) | 13.0341 | + | 6.10158i | 0.567236 | + | 0.265537i | ||||
\(529\) | −12.6264 | − | 21.8696i | −0.548976 | − | 0.950854i | ||||
\(530\) | −0.347537 | − | 0.135299i | −0.0150960 | − | 0.00587701i | ||||
\(531\) | − | 1.65018i | − | 0.0716117i | ||||||
\(532\) | −14.7579 | − | 8.75462i | −0.639838 | − | 0.379561i | ||||
\(533\) | 64.1270i | 2.77765i | ||||||||
\(534\) | −7.57495 | + | 19.4575i | −0.327800 | + | 0.842007i | ||||
\(535\) | 0.237262 | + | 0.410950i | 0.0102577 | + | 0.0177669i | ||||
\(536\) | −18.2449 | − | 12.2204i | −0.788060 | − | 0.527841i | ||||
\(537\) | 9.84027 | − | 17.0438i | 0.424639 | − | 0.735496i | ||||
\(538\) | 32.8887 | − | 5.04950i | 1.41793 | − | 0.217699i | ||||
\(539\) | 10.1358 | + | 23.0556i | 0.436580 | + | 0.993075i | ||||
\(540\) | 0.0886110 | − | 0.0278663i | 0.00381321 | − | 0.00119917i | ||||
\(541\) | −21.7241 | − | 12.5424i | −0.933992 | − | 0.539241i | −0.0459203 | − | 0.998945i | \(-0.514622\pi\) |
−0.888072 | + | 0.459704i | \(0.847955\pi\) | |||||||
\(542\) | 1.65834 | − | 1.32994i | 0.0712317 | − | 0.0571258i | ||||
\(543\) | −12.7807 | − | 22.1367i | −0.548470 | − | 0.949979i | ||||
\(544\) | 2.83779 | − | 0.688797i | 0.121669 | − | 0.0295319i | ||||
\(545\) | 0.543137 | 0.0232654 | ||||||||
\(546\) | −18.1968 | − | 14.9500i | −0.778753 | − | 0.639803i | ||||
\(547\) | 38.8014i | 1.65903i | 0.558487 | + | 0.829514i | \(0.311382\pi\) | ||||
−0.558487 | + | 0.829514i | \(0.688618\pi\) | |||||||
\(548\) | −2.15947 | + | 9.70645i | −0.0922478 | + | 0.414639i | ||||
\(549\) | 1.10386 | − | 0.637312i | 0.0471115 | − | 0.0271998i | ||||
\(550\) | −15.9098 | − | 19.8383i | −0.678396 | − | 0.845910i | ||||
\(551\) | 3.72239 | − | 6.44736i | 0.158579 | − | 0.274667i | ||||
\(552\) | −17.6310 | + | 8.67014i | −0.750425 | + | 0.369025i | ||||
\(553\) | −2.99303 | − | 14.2452i | −0.127276 | − | 0.605766i | ||||
\(554\) | −20.4480 | + | 3.13945i | −0.868753 | + | 0.133382i | ||||
\(555\) | 0.0523525 | + | 0.0302257i | 0.00222224 | + | 0.00128301i | ||||
\(556\) | 7.03819 | − | 7.66934i | 0.298486 | − | 0.325253i | ||||
\(557\) | 27.2335 | − | 15.7233i | 1.15392 | − | 0.666217i | 0.204082 | − | 0.978954i | \(-0.434579\pi\) |
0.949840 | + | 0.312737i | \(0.101246\pi\) | |||||||
\(558\) | 2.77964 | + | 1.08214i | 0.117672 | + | 0.0458105i | ||||
\(559\) | 57.4128 | 2.42830 | ||||||||
\(560\) | 0.141904 | + | 0.470595i | 0.00599654 | + | 0.0198863i | ||||
\(561\) | 1.85730 | 0.0784154 | ||||||||
\(562\) | −28.1081 | − | 10.9427i | −1.18567 | − | 0.461590i | ||||
\(563\) | 9.22107 | − | 5.32379i | 0.388622 | − | 0.224371i | −0.292941 | − | 0.956131i | \(-0.594634\pi\) |
0.681563 | + | 0.731760i | \(0.261301\pi\) | |||||||
\(564\) | 6.28715 | − | 6.85096i | 0.264737 | − | 0.288477i | ||||
\(565\) | 0.365410 | + | 0.210970i | 0.0153729 | + | 0.00887556i | ||||
\(566\) | 24.2221 | − | 3.71889i | 1.01813 | − | 0.156317i | ||||
\(567\) | 2.51434 | + | 0.823477i | 0.105592 | + | 0.0345828i | ||||
\(568\) | −14.7680 | − | 30.0312i | −0.619651 | − | 1.26008i | ||||
\(569\) | −13.1394 | + | 22.7581i | −0.550832 | + | 0.954069i | 0.447383 | + | 0.894343i | \(0.352356\pi\) |
−0.998215 | + | 0.0597265i | \(0.980977\pi\) | |||||||
\(570\) | −0.133257 | − | 0.166162i | −0.00558152 | − | 0.00695975i | ||||
\(571\) | −6.37133 | + | 3.67849i | −0.266632 | + | 0.153940i | −0.627356 | − | 0.778733i | \(-0.715863\pi\) |
0.360724 | + | 0.932673i | \(0.382530\pi\) | |||||||
\(572\) | 9.83580 | − | 44.2104i | 0.411256 | − | 1.84853i | ||||
\(573\) | 13.9761i | 0.583859i | ||||||||
\(574\) | 35.6851 | − | 13.4091i | 1.48947 | − | 0.559687i | ||||
\(575\) | 34.7172 | 1.44781 | ||||||||
\(576\) | 3.04492 | + | 7.39787i | 0.126872 | + | 0.308244i | ||||
\(577\) | 6.42935 | + | 11.1360i | 0.267658 | + | 0.463596i | 0.968256 | − | 0.249959i | \(-0.0804171\pi\) |
−0.700599 | + | 0.713555i | \(0.747084\pi\) | |||||||
\(578\) | −18.4613 | + | 14.8054i | −0.767889 | + | 0.615825i | ||||
\(579\) | −15.6007 | − | 9.00706i | −0.648342 | − | 0.374321i | ||||
\(580\) | −0.203432 | + | 0.0639752i | −0.00844706 | + | 0.00265642i | ||||
\(581\) | −14.5679 | − | 16.2557i | −0.604378 | − | 0.674402i | ||||
\(582\) | −8.61715 | + | 1.32302i | −0.357192 | + | 0.0548408i | ||||
\(583\) | 10.2144 | − | 17.6918i | 0.423035 | − | 0.732719i | ||||
\(584\) | 17.5355 | − | 26.1802i | 0.725623 | − | 1.08335i | ||||
\(585\) | −0.146165 | − | 0.253165i | −0.00604318 | − | 0.0104671i | ||||
\(586\) | −15.2340 | + | 39.1310i | −0.629311 | + | 1.61649i | ||||
\(587\) | − | 7.51402i | − | 0.310137i | −0.987904 | − | 0.155068i | \(-0.950440\pi\) | ||
0.987904 | − | 0.155068i | \(-0.0495598\pi\) | |||||||
\(588\) | −4.51433 | + | 13.2522i | −0.186168 | + | 0.546512i | ||||
\(589\) | − | 6.83969i | − | 0.281825i | ||||||
\(590\) | 0.101004 | + | 0.0393217i | 0.00415827 | + | 0.00161885i | ||||
\(591\) | −1.85041 | − | 3.20500i | −0.0761157 | − | 0.131836i | ||||
\(592\) | −2.20732 | + | 4.71524i | −0.0907204 | + | 0.193795i | ||||
\(593\) | −9.63761 | + | 16.6928i | −0.395769 | + | 0.685492i | −0.993199 | − | 0.116429i | \(-0.962855\pi\) |
0.597430 | + | 0.801921i | \(0.296189\pi\) | |||||||
\(594\) | 0.772156 | + | 5.02925i | 0.0316819 | + | 0.206353i | ||||
\(595\) | 0.0423349 | + | 0.0472398i | 0.00173556 | + | 0.00193664i | ||||
\(596\) | 0.502891 | + | 1.59912i | 0.0205992 | + | 0.0655027i | ||||
\(597\) | −1.52800 | − | 0.882192i | −0.0625369 | − | 0.0361057i | ||||
\(598\) | 38.6842 | + | 48.2363i | 1.58191 | + | 1.97253i | ||||
\(599\) | 7.76773 | + | 13.4541i | 0.317381 | + | 0.549720i | 0.979941 | − | 0.199289i | \(-0.0638633\pi\) |
−0.662560 | + | 0.749009i | \(0.730530\pi\) | |||||||
\(600\) | 0.940321 | − | 14.1047i | 0.0383884 | − | 0.575823i | ||||
\(601\) | −44.5011 | −1.81524 | −0.907620 | − | 0.419793i | \(-0.862103\pi\) | ||||
−0.907620 | + | 0.419793i | \(0.862103\pi\) | |||||||
\(602\) | −12.0052 | − | 31.9489i | −0.489295 | − | 1.30214i | ||||
\(603\) | − | 7.76382i | − | 0.316167i | ||||||
\(604\) | 2.79541 | − | 12.5649i | 0.113744 | − | 0.511259i | ||||
\(605\) | −0.0782241 | + | 0.0451627i | −0.00318026 | + | 0.00183612i | ||||
\(606\) | 8.83431 | − | 7.08487i | 0.358869 | − | 0.287803i | ||||
\(607\) | 11.9183 | − | 20.6432i | 0.483751 | − | 0.837881i | −0.516075 | − | 0.856543i | \(-0.672607\pi\) |
0.999826 | + | 0.0186624i | \(0.00594079\pi\) | |||||||
\(608\) | 13.2747 | − | 12.6604i | 0.538360 | − | 0.513447i | ||||
\(609\) | −5.77239 | − | 1.89053i | −0.233909 | − | 0.0766081i | ||||
\(610\) | 0.0127050 | + | 0.0827512i | 0.000514412 | + | 0.00335050i | ||||
\(611\) | −25.3428 | − | 14.6317i | −1.02526 | − | 0.591935i | ||||
\(612\) | 0.760675 | + | 0.698075i | 0.0307485 | + | 0.0282180i | ||||
\(613\) | 17.7261 | − | 10.2342i | 0.715950 | − | 0.413354i | −0.0973099 | − | 0.995254i | \(-0.531024\pi\) |
0.813260 | + | 0.581900i | \(0.197690\pi\) | |||||||
\(614\) | 2.50496 | − | 6.43439i | 0.101092 | − | 0.259671i | ||||
\(615\) | 0.473195 | 0.0190811 | ||||||||
\(616\) | −26.6587 | + | 3.77114i | −1.07411 | + | 0.151943i | ||||
\(617\) | 19.3039 | 0.777146 | 0.388573 | − | 0.921418i | \(-0.372968\pi\) | ||||
0.388573 | + | 0.921418i | \(0.372968\pi\) | |||||||
\(618\) | 6.60633 | − | 16.9694i | 0.265746 | − | 0.682610i | ||||
\(619\) | −21.1475 | + | 12.2095i | −0.849990 | + | 0.490742i | −0.860647 | − | 0.509201i | \(-0.829941\pi\) |
0.0106577 | + | 0.999943i | \(0.496607\pi\) | |||||||
\(620\) | −0.132471 | + | 0.144350i | −0.00532015 | + | 0.00579724i | ||||
\(621\) | −6.01578 | − | 3.47322i | −0.241405 | − | 0.139375i | ||||
\(622\) | 3.89857 | + | 25.3924i | 0.156319 | + | 1.01814i | ||||
\(623\) | −8.03205 | − | 38.2282i | −0.321797 | − | 1.53158i | ||||
\(624\) | 20.6450 | − | 14.4099i | 0.826461 | − | 0.576859i | ||||
\(625\) | −12.4838 | + | 21.6226i | −0.499353 | + | 0.864905i | ||||
\(626\) | −15.0160 | + | 12.0424i | −0.600161 | + | 0.481312i | ||||
\(627\) | 10.1041 | − | 5.83361i | 0.403519 | − | 0.232972i | ||||
\(628\) | 10.6706 | + | 2.37398i | 0.425805 | + | 0.0947319i | ||||
\(629\) | 0.671902i | 0.0267905i | ||||||||
\(630\) | −0.110317 | + | 0.134275i | −0.00439513 | + | 0.00534964i | ||||
\(631\) | −20.7613 | −0.826494 | −0.413247 | − | 0.910619i | \(-0.635605\pi\) | ||||
−0.413247 | + | 0.910619i | \(0.635605\pi\) | |||||||
\(632\) | 15.5268 | + | 1.03512i | 0.617621 | + | 0.0411750i | ||||
\(633\) | −5.33785 | − | 9.24542i | −0.212160 | − | 0.367473i | ||||
\(634\) | −22.1093 | − | 27.5687i | −0.878074 | − | 1.09489i | ||||
\(635\) | −0.567372 | − | 0.327573i | −0.0225155 | − | 0.0129993i | ||||
\(636\) | 10.8329 | − | 3.40672i | 0.429552 | − | 0.135085i | ||||
\(637\) | 43.7956 | + | 4.81075i | 1.73525 | + | 0.190609i | ||||
\(638\) | −1.77271 | − | 11.5461i | −0.0701822 | − | 0.457115i | ||||
\(639\) | 5.91599 | − | 10.2468i | 0.234033 | − | 0.405357i | ||||
\(640\) | −0.525365 | + | 0.0100916i | −0.0207669 | + | 0.000398904i | ||||
\(641\) | −11.0483 | − | 19.1363i | −0.436383 | − | 0.755838i | 0.561024 | − | 0.827799i | \(-0.310407\pi\) |
−0.997407 | + | 0.0719616i | \(0.977074\pi\) | |||||||
\(642\) | −13.4646 | − | 5.24188i | −0.531405 | − | 0.206880i | ||||
\(643\) | − | 31.9358i | − | 1.25943i | −0.776828 | − | 0.629713i | \(-0.783173\pi\) | ||
0.776828 | − | 0.629713i | \(-0.216827\pi\) | |||||||
\(644\) | 18.7534 | − | 31.6132i | 0.738986 | − | 1.24573i | ||||
\(645\) | − | 0.423651i | − | 0.0166812i | ||||||
\(646\) | 0.858855 | − | 2.20611i | 0.0337912 | − | 0.0867981i | ||||
\(647\) | −1.48741 | − | 2.57626i | −0.0584760 | − | 0.101283i | 0.835305 | − | 0.549786i | \(-0.185291\pi\) |
−0.893781 | + | 0.448503i | \(0.851957\pi\) | |||||||
\(648\) | −1.57402 | + | 2.34999i | −0.0618333 | + | 0.0923164i | ||||
\(649\) | −2.96858 | + | 5.14173i | −0.116527 | + | 0.201831i | ||||
\(650\) | −43.9719 | + | 6.75114i | −1.72472 | + | 0.264802i | ||||
\(651\) | −5.46117 | + | 1.14744i | −0.214040 | + | 0.0449716i | ||||
\(652\) | 9.15232 | + | 29.1031i | 0.358433 | + | 1.13977i | ||||
\(653\) | −14.9217 | − | 8.61507i | −0.583933 | − | 0.337134i | 0.178762 | − | 0.983892i | \(-0.442791\pi\) |
−0.762695 | + | 0.646758i | \(0.776124\pi\) | |||||||
\(654\) | −12.9018 | + | 10.3468i | −0.504498 | + | 0.404594i | ||||
\(655\) | −0.397351 | − | 0.688231i | −0.0155258 | − | 0.0268914i | ||||
\(656\) | 3.49133 | + | 40.6036i | 0.136314 | + | 1.58530i | ||||
\(657\) | 11.1406 | 0.434635 | ||||||||
\(658\) | −2.84292 | + | 17.1622i | −0.110829 | + | 0.669053i | ||||
\(659\) | − | 27.7588i | − | 1.08133i | −0.841238 | − | 0.540665i | \(-0.818173\pi\) | ||
0.841238 | − | 0.540665i | \(-0.181827\pi\) | |||||||
\(660\) | −0.326230 | − | 0.0725787i | −0.0126985 | − | 0.00282512i | ||||
\(661\) | 28.3232 | − | 16.3524i | 1.10164 | − | 0.636034i | 0.164991 | − | 0.986295i | \(-0.447241\pi\) |
0.936652 | + | 0.350261i | \(0.113907\pi\) | |||||||
\(662\) | −6.48528 | − | 8.08667i | −0.252058 | − | 0.314297i | ||||
\(663\) | 1.62459 | − | 2.81386i | 0.0630937 | − | 0.109281i | ||||
\(664\) | 20.9404 | − | 10.2976i | 0.812645 | − | 0.399623i | ||||
\(665\) | 0.378686 | + | 0.124024i | 0.0146848 | + | 0.00480946i | ||||
\(666\) | −1.81939 | + | 0.279337i | −0.0705000 | + | 0.0108241i | ||||
\(667\) | 13.8110 | + | 7.97377i | 0.534763 | + | 0.308746i | ||||
\(668\) | −2.61500 | − | 2.39980i | −0.101177 | − | 0.0928510i | ||||
\(669\) | 19.2441 | − | 11.1106i | 0.744020 | − | 0.429560i | ||||
\(670\) | 0.475207 | + | 0.185002i | 0.0183589 | + | 0.00714725i | ||||
\(671\) | −4.58596 | −0.177039 | ||||||||
\(672\) | −12.3357 | − | 8.47528i | −0.475860 | − | 0.326941i | ||||
\(673\) | 12.9387 | 0.498752 | 0.249376 | − | 0.968407i | \(-0.419775\pi\) | ||||
0.249376 | + | 0.968407i | \(0.419775\pi\) | |||||||
\(674\) | −1.96503 | − | 0.765002i | −0.0756901 | − | 0.0294668i | ||||
\(675\) | 4.32826 | − | 2.49892i | 0.166595 | − | 0.0961835i | ||||
\(676\) | −39.2204 | − | 35.9927i | −1.50848 | − | 1.38434i | ||||
\(677\) | 1.12548 | + | 0.649798i | 0.0432558 | + | 0.0249738i | 0.521472 | − | 0.853268i | \(-0.325383\pi\) |
−0.478216 | + | 0.878242i | \(0.658716\pi\) | |||||||
\(678\) | −12.6990 | + | 1.94971i | −0.487702 | + | 0.0748783i | ||||
\(679\) | 12.1463 | − | 10.8852i | 0.466133 | − | 0.417734i | ||||
\(680\) | −0.0608537 | + | 0.0299251i | −0.00233363 | + | 0.00114758i | ||||
\(681\) | −9.85697 | + | 17.0728i | −0.377720 | + | 0.654230i | ||||
\(682\) | −6.71428 | − | 8.37221i | −0.257103 | − | 0.320588i | ||||
\(683\) | 16.8225 | − | 9.71249i | 0.643696 | − | 0.371638i | −0.142341 | − | 0.989818i | \(-0.545463\pi\) |
0.786037 | + | 0.618179i | \(0.212130\pi\) | |||||||
\(684\) | 6.33081 | + | 1.40846i | 0.242064 | + | 0.0538538i | ||||
\(685\) | − | 0.230918i | − | 0.00882291i | ||||||
\(686\) | −6.48073 | − | 25.3772i | −0.247435 | − | 0.968904i | ||||
\(687\) | 7.00679 | 0.267326 | ||||||||
\(688\) | 36.3523 | − | 3.12578i | 1.38592 | − | 0.119169i | ||||
\(689\) | −17.8690 | − | 30.9500i | −0.680755 | − | 1.17910i | ||||
\(690\) | 0.355937 | − | 0.285451i | 0.0135503 | − | 0.0108670i | ||||
\(691\) | 11.1725 | + | 6.45042i | 0.425020 | + | 0.245386i | 0.697223 | − | 0.716854i | \(-0.254419\pi\) |
−0.272203 | + | 0.962240i | \(0.587752\pi\) | |||||||
\(692\) | 1.54933 | + | 4.92667i | 0.0588969 | + | 0.187284i | ||||
\(693\) | −6.35294 | − | 7.08899i | −0.241328 | − | 0.269288i | ||||
\(694\) | −33.3298 | + | 5.11722i | −1.26518 | + | 0.194247i | ||||
\(695\) | −0.120865 | + | 0.209344i | −0.00458467 | + | 0.00794088i | ||||
\(696\) | 3.61362 | − | 5.39509i | 0.136974 | − | 0.204500i | ||||
\(697\) | 2.62972 | + | 4.55480i | 0.0996076 | + | 0.172526i | ||||
\(698\) | −5.93775 | + | 15.2520i | −0.224747 | + | 0.577299i | ||||
\(699\) | 24.7433i | 0.935879i | ||||||||
\(700\) | 12.9515 | + | 23.0576i | 0.489521 | + | 0.871497i | ||||
\(701\) | − | 34.3868i | − | 1.29877i | −0.760460 | − | 0.649385i | \(-0.775026\pi\) | ||
0.760460 | − | 0.649385i | \(-0.224974\pi\) | |||||||
\(702\) | 8.29485 | + | 3.22925i | 0.313069 | + | 0.121880i | ||||
\(703\) | 2.11038 | + | 3.65528i | 0.0795944 | + | 0.137862i | ||||
\(704\) | 3.82079 | − | 28.5284i | 0.144001 | − | 1.07520i | ||||
\(705\) | −0.107968 | + | 0.187006i | −0.00406630 | + | 0.00704303i | ||||
\(706\) | 2.15253 | + | 14.0200i | 0.0810114 | + | 0.527648i | ||||
\(707\) | −6.59400 | + | 20.1336i | −0.247993 | + | 0.757201i | ||||
\(708\) | −3.14835 | + | 0.990089i | −0.118322 | + | 0.0372098i | ||||
\(709\) | −19.7915 | − | 11.4266i | −0.743284 | − | 0.429135i | 0.0799779 | − | 0.996797i | \(-0.474515\pi\) |
−0.823262 | + | 0.567661i | \(0.807848\pi\) | |||||||
\(710\) | 0.486214 | + | 0.606274i | 0.0182473 | + | 0.0227530i | ||||
\(711\) | 2.75086 | + | 4.76463i | 0.103165 | + | 0.178688i | ||||
\(712\) | 41.6674 | + | 2.77785i | 1.56155 | + | 0.104104i | ||||
\(713\) | 14.6514 | 0.548699 | ||||||||
\(714\) | −1.90555 | − | 0.315655i | −0.0713136 | − | 0.0118131i | ||||
\(715\) | 1.05177i | 0.0393340i | ||||||||
\(716\) | −38.4217 | − | 8.54796i | −1.43589 | − | 0.319452i | ||||
\(717\) | −19.0095 | + | 10.9752i | −0.709924 | + | 0.409875i | ||||
\(718\) | 3.98581 | − | 3.19650i | 0.148749 | − | 0.119293i | ||||
\(719\) | 5.21620 | − | 9.03472i | 0.194531 | − | 0.336938i | −0.752215 | − | 0.658917i | \(-0.771015\pi\) |
0.946747 | + | 0.321979i | \(0.104348\pi\) | |||||||
\(720\) | −0.106331 | − | 0.152340i | −0.00396273 | − | 0.00567737i | ||||
\(721\) | 7.00498 | + | 33.3399i | 0.260879 | + | 1.24164i | ||||
\(722\) | 1.82084 | + | 11.8596i | 0.0677648 | + | 0.441369i | ||||
\(723\) | −12.8027 | − | 7.39162i | −0.476136 | − | 0.274897i | ||||
\(724\) | −34.5660 | + | 37.6658i | −1.28464 | + | 1.39984i | ||||
\(725\) | −9.93677 | + | 5.73700i | −0.369042 | + | 0.213067i | ||||
\(726\) | 0.997789 | − | 2.56298i | 0.0370314 | − | 0.0951211i | ||||
\(727\) | −2.48753 | −0.0922572 | −0.0461286 | − | 0.998936i | \(-0.514688\pi\) | ||||
−0.0461286 | + | 0.998936i | \(0.514688\pi\) | |||||||
\(728\) | −17.6050 | + | 43.6873i | −0.652486 | + | 1.61916i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −0.265466 | + | 0.681891i | −0.00982533 | + | 0.0252379i | ||||
\(731\) | 4.07791 | − | 2.35438i | 0.150827 | − | 0.0870800i | ||||
\(732\) | −1.87822 | − | 1.72365i | −0.0694210 | − | 0.0637079i | ||||
\(733\) | −0.674033 | − | 0.389153i | −0.0248960 | − | 0.0143737i | 0.487500 | − | 0.873123i | \(-0.337909\pi\) |
−0.512396 | + | 0.858749i | \(0.671242\pi\) | |||||||
\(734\) | 4.72385 | + | 30.7676i | 0.174360 | + | 1.13565i | ||||
\(735\) | 0.0354987 | − | 0.323169i | 0.00130939 | − | 0.0119203i | ||||
\(736\) | 27.1200 | + | 28.4359i | 0.999656 | + | 1.04816i | ||||
\(737\) | −13.9667 | + | 24.1910i | −0.514469 | + | 0.891086i | ||||
\(738\) | −11.2403 | + | 9.01443i | −0.413762 | + | 0.331826i | ||||
\(739\) | 22.4331 | − | 12.9518i | 0.825215 | − | 0.476438i | −0.0269963 | − | 0.999636i | \(-0.508594\pi\) |
0.852212 | + | 0.523197i | \(0.175261\pi\) | |||||||
\(740\) | 0.0262562 | − | 0.118018i | 0.000965198 | − | 0.00433841i | ||||
\(741\) | − | 20.4106i | − | 0.749804i | ||||||
\(742\) | −13.4865 | + | 16.4154i | −0.495104 | + | 0.602629i | ||||
\(743\) | −27.7729 | −1.01889 | −0.509445 | − | 0.860503i | \(-0.670149\pi\) | ||||
−0.509445 | + | 0.860503i | \(0.670149\pi\) | |||||||
\(744\) | 0.396836 | − | 5.95250i | 0.0145487 | − | 0.218229i | ||||
\(745\) | −0.0194642 | − | 0.0337130i | −0.000713113 | − | 0.00123515i | ||||
\(746\) | 28.5976 | + | 35.6591i | 1.04703 | + | 1.30557i | ||||
\(747\) | 7.14497 | + | 4.12515i | 0.261421 | + | 0.150931i | ||||
\(748\) | −1.11436 | − | 3.54352i | −0.0407451 | − | 0.129564i | ||||
\(749\) | 26.4539 | − | 5.55819i | 0.966606 | − | 0.203092i | ||||
\(750\) | 0.0996552 | + | 0.649080i | 0.00363889 | + | 0.0237010i | ||||
\(751\) | −10.5549 | + | 18.2816i | −0.385153 | + | 0.667105i | −0.991790 | − | 0.127874i | \(-0.959185\pi\) |
0.606637 | + | 0.794979i | \(0.292518\pi\) | |||||||
\(752\) | −16.8430 | − | 7.88465i | −0.614203 | − | 0.287524i | ||||
\(753\) | 7.23926 | + | 12.5388i | 0.263813 | + | 0.456938i | ||||
\(754\) | −19.0432 | − | 7.41369i | −0.693514 | − | 0.269991i | ||||
\(755\) | 0.298921i | 0.0108788i | ||||||||
\(756\) | 0.0625230 | − | 5.29113i | 0.00227394 | − | 0.192437i | ||||
\(757\) | 46.6419i | 1.69523i | 0.530612 | + | 0.847615i | \(0.321962\pi\) | ||||
−0.530612 | + | 0.847615i | \(0.678038\pi\) | |||||||
\(758\) | 8.55100 | − | 21.9646i | 0.310586 | − | 0.797790i | ||||
\(759\) | 12.4962 | + | 21.6441i | 0.453585 | + | 0.785632i | ||||
\(760\) | −0.237064 | + | 0.353934i | −0.00859922 | + | 0.0128385i | ||||
\(761\) | 12.5114 | − | 21.6703i | 0.453537 | − | 0.785550i | −0.545066 | − | 0.838393i | \(-0.683495\pi\) |
0.998603 | + | 0.0528439i | \(0.0168286\pi\) | |||||||
\(762\) | 19.7177 | − | 3.02732i | 0.714298 | − | 0.109668i | ||||
\(763\) | 9.62997 | − | 29.4034i | 0.348628 | − | 1.06447i | ||||
\(764\) | 26.6647 | − | 8.38549i | 0.964695 | − | 0.303376i | ||||
\(765\) | −0.0207636 | − | 0.0119879i | −0.000750709 | − | 0.000433422i | ||||
\(766\) | 26.9190 | − | 21.5883i | 0.972624 | − | 0.780017i | ||||
\(767\) | 5.19324 | + | 8.99495i | 0.187517 | + | 0.324789i | ||||
\(768\) | 12.2873 | − | 10.2480i | 0.443381 | − | 0.369793i | ||||
\(769\) | 1.32800 | 0.0478891 | 0.0239445 | − | 0.999713i | \(-0.492377\pi\) | ||||
0.0239445 | + | 0.999713i | \(0.492377\pi\) | |||||||
\(770\) | 0.585285 | − | 0.219928i | 0.0210922 | − | 0.00792567i | ||||
\(771\) | − | 15.8746i | − | 0.571711i | ||||||
\(772\) | −7.82417 | + | 35.1684i | −0.281598 | + | 1.26574i | ||||
\(773\) | 19.2488 | − | 11.1133i | 0.692332 | − | 0.399718i | −0.112153 | − | 0.993691i | \(-0.535775\pi\) |
0.804485 | + | 0.593973i | \(0.202441\pi\) | |||||||
\(774\) | 8.07061 | + | 10.0635i | 0.290092 | + | 0.361723i | ||||
\(775\) | −5.27072 | + | 9.12915i | −0.189330 | + | 0.327929i | ||||
\(776\) | 7.69435 | + | 15.6467i | 0.276211 | + | 0.561684i | ||||
\(777\) | 2.56453 | − | 2.29825i | 0.0920020 | − | 0.0824493i | ||||
\(778\) | −11.9177 | + | 1.82975i | −0.427269 | + | 0.0655999i | ||||
\(779\) | 28.6124 | + | 16.5194i | 1.02514 | + | 0.591867i | ||||
\(780\) | −0.395312 | + | 0.430762i | −0.0141544 | + | 0.0154237i | ||||
\(781\) | −36.8668 | + | 21.2851i | −1.31920 | + | 0.761639i | ||||
\(782\) | 4.72573 | + | 1.83976i | 0.168992 | + | 0.0657898i | ||||
\(783\) | 2.29579 | 0.0820448 | ||||||||
\(784\) | 27.9922 | + | 0.661635i | 0.999721 | + | 0.0236298i | ||||
\(785\) | −0.253856 | −0.00906050 | ||||||||
\(786\) | 22.5496 | + | 8.77875i | 0.804318 | + | 0.313128i | ||||
\(787\) | −16.5930 | + | 9.57996i | −0.591476 | + | 0.341489i | −0.765681 | − | 0.643221i | \(-0.777598\pi\) |
0.174205 | + | 0.984709i | \(0.444264\pi\) | |||||||
\(788\) | −5.00454 | + | 5.45333i | −0.178279 | + | 0.194267i | ||||
\(789\) | 0.281822 | + | 0.162710i | 0.0100331 | + | 0.00579263i | ||||
\(790\) | −0.357183 | + | 0.0548394i | −0.0127080 | + | 0.00195110i | ||||
\(791\) | 17.8999 | − | 16.0413i | 0.636447 | − | 0.570364i | ||||
\(792\) | 9.13193 | − | 4.49068i | 0.324489 | − | 0.159569i | ||||
\(793\) | −4.01134 | + | 6.94784i | −0.142447 | + | 0.246725i | ||||
\(794\) | 6.04620 | + | 7.53917i | 0.214572 | + | 0.267555i | ||||
\(795\) | −0.228381 | + | 0.131856i | −0.00809984 | + | 0.00467645i | ||||
\(796\) | −0.766334 | + | 3.44455i | −0.0271620 | + | 0.122089i | ||||
\(797\) | − | 35.9779i | − | 1.27440i | −0.770697 | − | 0.637201i | \(-0.780092\pi\) | ||
0.770697 | − | 0.637201i | \(-0.219908\pi\) | |||||||
\(798\) | −11.3580 | + | 4.26793i | −0.402070 | + | 0.151083i | ||||
\(799\) | −2.40006 | −0.0849082 | ||||||||
\(800\) | −27.4743 | + | 6.66866i | −0.971364 | + | 0.235773i | ||||
\(801\) | 7.38218 | + | 12.7863i | 0.260837 | + | 0.451782i | ||||
\(802\) | −11.5711 | + | 9.27969i | −0.408589 | + | 0.327677i | ||||
\(803\) | −34.7125 | − | 20.0413i | −1.22498 | − | 0.707241i | ||||
\(804\) | −14.8124 | + | 4.65820i | −0.522395 | + | 0.164282i | ||||
\(805\) | −0.265674 | + | 0.811187i | −0.00936378 | + | 0.0285906i | ||||
\(806\) | −18.5571 | + | 2.84913i | −0.653646 | + | 0.100356i | ||||
\(807\) | 11.7642 | − | 20.3761i | 0.414118 | − | 0.717273i | ||||
\(808\) | −18.8176 | − | 12.6040i | −0.662000 | − | 0.443406i | ||||
\(809\) | 4.56264 | + | 7.90272i | 0.160414 | + | 0.277845i | 0.935017 | − | 0.354603i | \(-0.115384\pi\) |
−0.774603 | + | 0.632447i | \(0.782050\pi\) | |||||||
\(810\) | 0.0238287 | − | 0.0612079i | 0.000837257 | − | 0.00215063i | ||||
\(811\) | − | 9.64051i | − | 0.338524i | −0.985571 | − | 0.169262i | \(-0.945862\pi\) | ||
0.985571 | − | 0.169262i | \(-0.0541384\pi\) | |||||||
\(812\) | −0.143540 | + | 12.1473i | −0.00503725 | + | 0.426288i | ||||
\(813\) | − | 1.50313i | − | 0.0527172i | ||||||
\(814\) | 6.17149 | + | 2.40261i | 0.216311 | + | 0.0842115i | ||||
\(815\) | −0.354237 | − | 0.613557i | −0.0124084 | − | 0.0214920i | ||||
\(816\) | 0.875448 | − | 1.87012i | 0.0306468 | − | 0.0654671i | ||||
\(817\) | 14.7898 | − | 25.6166i | 0.517428 | − | 0.896212i | ||||
\(818\) | 1.72320 | + | 11.2237i | 0.0602504 | + | 0.392426i | ||||
\(819\) | −16.2969 | + | 3.42412i | −0.569461 | + | 0.119648i | ||||
\(820\) | −0.283912 | − | 0.902800i | −0.00991462 | − | 0.0315271i | ||||
\(821\) | 16.6309 | + | 9.60187i | 0.580423 | + | 0.335107i | 0.761301 | − | 0.648398i | \(-0.224561\pi\) |
−0.180878 | + | 0.983505i | \(0.557894\pi\) | |||||||
\(822\) | 4.39901 | + | 5.48525i | 0.153433 | + | 0.191320i | ||||
\(823\) | 0.820157 | + | 1.42055i | 0.0285889 | + | 0.0495174i | 0.879966 | − | 0.475037i | \(-0.157565\pi\) |
−0.851377 | + | 0.524554i | \(0.824232\pi\) | |||||||
\(824\) | −36.3394 | − | 2.42264i | −1.26594 | − | 0.0843966i | ||||
\(825\) | −17.9817 | −0.626042 | ||||||||
\(826\) | 3.91955 | − | 4.77079i | 0.136379 | − | 0.165997i | ||||
\(827\) | − | 27.3891i | − | 0.952412i | −0.879334 | − | 0.476206i | \(-0.842012\pi\) | ||
0.879334 | − | 0.476206i | \(-0.157988\pi\) | |||||||
\(828\) | −3.01708 | + | 13.5613i | −0.104851 | + | 0.471288i | ||||
\(829\) | −15.4922 | + | 8.94441i | −0.538065 | + | 0.310652i | −0.744294 | − | 0.667852i | \(-0.767214\pi\) |
0.206229 | + | 0.978504i | \(0.433881\pi\) | |||||||
\(830\) | −0.422748 | + | 0.339032i | −0.0146738 | + | 0.0117680i | ||||
\(831\) | −7.31418 | + | 12.6685i | −0.253726 | + | 0.439466i | ||||
\(832\) | −39.8792 | − | 30.7424i | −1.38256 | − | 1.06580i | ||||
\(833\) | 3.30799 | − | 1.45427i | 0.114615 | − | 0.0503875i | ||||
\(834\) | −1.11700 | − | 7.27528i | −0.0386784 | − | 0.251923i | ||||
\(835\) | 0.0713797 | + | 0.0412111i | 0.00247020 | + | 0.00142617i | ||||
\(836\) | −17.1922 | − | 15.7773i | −0.594604 | − | 0.545670i | ||||
\(837\) | 1.82662 | − | 1.05460i | 0.0631372 | − | 0.0364523i | ||||
\(838\) | 8.58160 | − | 22.0432i | 0.296446 | − | 0.761470i | ||||
\(839\) | 11.0644 | 0.381986 | 0.190993 | − | 0.981591i | \(-0.438829\pi\) | ||||
0.190993 | + | 0.981591i | \(0.438829\pi\) | |||||||
\(840\) | 0.322370 | + | 0.129908i | 0.0111228 | + | 0.00448225i | ||||
\(841\) | 23.7294 | 0.818253 | ||||||||
\(842\) | −7.54997 | + | 19.3933i | −0.260189 | + | 0.668338i | ||||
\(843\) | −18.4710 | + | 10.6642i | −0.636175 | + | 0.367296i | ||||
\(844\) | −14.4365 | + | 15.7311i | −0.496926 | + | 0.541488i | ||||
\(845\) | 1.07057 | + | 0.618094i | 0.0368287 | + | 0.0212631i | ||||
\(846\) | −0.997804 | − | 6.49895i | −0.0343052 | − | 0.223439i | ||||
\(847\) | 1.05800 | + | 5.03550i | 0.0363533 | + | 0.173022i | ||||
\(848\) | −12.9992 | − | 18.6239i | −0.446396 | − | 0.639547i | ||||
\(849\) | 8.66416 | − | 15.0068i | 0.297353 | − | 0.515031i | ||||
\(850\) | −2.84638 | + | 2.28272i | −0.0976301 | + | 0.0782966i | ||||
\(851\) | −7.83002 | + | 4.52067i | −0.268410 | + | 0.154966i | ||||
\(852\) | −23.0992 | − | 5.13905i | −0.791365 | − | 0.176061i | ||||
\(853\) | 29.4621i | 1.00876i | 0.863480 | + | 0.504382i | \(0.168280\pi\) | ||||
−0.863480 | + | 0.504382i | \(0.831720\pi\) | |||||||
\(854\) | 4.70509 | + | 0.779399i | 0.161005 | + | 0.0266705i | ||||
\(855\) | −0.150611 | −0.00515078 | ||||||||
\(856\) | −1.92227 | + | 28.8339i | −0.0657020 | + | 0.985524i | ||||
\(857\) | −8.88103 | − | 15.3824i | −0.303370 | − | 0.525453i | 0.673527 | − | 0.739163i | \(-0.264779\pi\) |
−0.976897 | + | 0.213710i | \(0.931445\pi\) | |||||||
\(858\) | −20.0364 | − | 24.9839i | −0.684030 | − | 0.852936i | ||||
\(859\) | 31.7456 | + | 18.3283i | 1.08314 | + | 0.625354i | 0.931743 | − | 0.363118i | \(-0.118288\pi\) |
0.151402 | + | 0.988472i | \(0.451621\pi\) | |||||||
\(860\) | −0.808276 | + | 0.254186i | −0.0275620 | + | 0.00866766i | ||||
\(861\) | 8.38987 | − | 25.6169i | 0.285926 | − | 0.873022i | ||||
\(862\) | −0.674042 | − | 4.39021i | −0.0229580 | − | 0.149531i | ||||
\(863\) | 1.57129 | − | 2.72156i | 0.0534874 | − | 0.0926429i | −0.838042 | − | 0.545606i | \(-0.816300\pi\) |
0.891529 | + | 0.452963i | \(0.149633\pi\) | |||||||
\(864\) | 5.42790 | + | 1.59308i | 0.184661 | + | 0.0541975i | ||||
\(865\) | −0.0599664 | − | 0.103865i | −0.00203892 | − | 0.00353151i | ||||
\(866\) | −44.3790 | − | 17.2771i | −1.50806 | − | 0.587099i | ||||
\(867\) | 16.7335i | 0.568300i | ||||||||
\(868\) | 5.46582 | + | 9.73082i | 0.185522 | + | 0.330285i | ||||
\(869\) | − | 19.7946i | − | 0.671485i | ||||||
\(870\) | −0.0547058 | + | 0.140521i | −0.00185470 | + | 0.00476409i | ||||
\(871\) | 24.4333 | + | 42.3197i | 0.827891 | + | 1.43395i | ||||
\(872\) | 27.4815 | + | 18.4070i | 0.930640 | + | 0.623341i | ||||
\(873\) | −3.08232 | + | 5.33874i | −0.104321 | + | 0.180689i | ||||
\(874\) | 31.4874 | − | 4.83436i | 1.06508 | − | 0.163525i | ||||
\(875\) | −0.819916 | − | 0.914912i | −0.0277182 | − | 0.0309297i | ||||
\(876\) | −6.68422 | − | 21.2549i | −0.225839 | − | 0.718136i | ||||
\(877\) | 12.4428 | + | 7.18384i | 0.420162 | + | 0.242581i | 0.695147 | − | 0.718868i | \(-0.255339\pi\) |
−0.274984 | + | 0.961449i | \(0.588673\pi\) | |||||||
\(878\) | −8.12031 | + | 6.51226i | −0.274047 | + | 0.219778i | ||||
\(879\) | 14.8463 | + | 25.7146i | 0.500754 | + | 0.867332i | ||||
\(880\) | 0.0572626 | + | 0.665954i | 0.00193032 | + | 0.0224493i | ||||
\(881\) | −21.4314 | −0.722043 | −0.361022 | − | 0.932557i | \(-0.617572\pi\) | ||||
−0.361022 | + | 0.932557i | \(0.617572\pi\) | |||||||
\(882\) | 5.31318 | + | 8.35285i | 0.178904 | + | 0.281255i | ||||
\(883\) | − | 29.5761i | − | 0.995316i | −0.867373 | − | 0.497658i | \(-0.834194\pi\) | ||
0.867373 | − | 0.497658i | \(-0.165806\pi\) | |||||||
\(884\) | −6.34325 | − | 1.41123i | −0.213347 | − | 0.0474648i | ||||
\(885\) | 0.0663740 | − | 0.0383210i | 0.00223114 | − | 0.00128815i | ||||
\(886\) | 22.8804 | + | 28.5302i | 0.768683 | + | 0.958491i | ||||
\(887\) | 1.90744 | − | 3.30379i | 0.0640456 | − | 0.110930i | −0.832225 | − | 0.554439i | \(-0.812933\pi\) |
0.896270 | + | 0.443508i | \(0.146266\pi\) | |||||||
\(888\) | 1.62456 | + | 3.30359i | 0.0545166 | + | 0.110861i | ||||
\(889\) | −27.7932 | + | 24.9074i | −0.932153 | + | 0.835367i | ||||
\(890\) | −0.958532 | + | 0.147166i | −0.0321301 | + | 0.00493303i | ||||
\(891\) | 3.11586 | + | 1.79894i | 0.104385 | + | 0.0602669i | ||||
\(892\) | −32.7439 | − | 30.0492i | −1.09635 | − | 1.00612i | ||||
\(893\) | −13.0568 | + | 7.53836i | −0.436930 | + | 0.252262i | ||||
\(894\) | 1.10459 | + | 0.430027i | 0.0369431 | + | 0.0143822i | ||||
\(895\) | 0.914057 | 0.0305536 | ||||||||
\(896\) | −8.76854 | + | 28.6201i | −0.292936 | + | 0.956132i | ||||
\(897\) | 43.7219 | 1.45983 | ||||||||
\(898\) | 26.0289 | + | 10.1333i | 0.868595 | + | 0.338151i | ||||
\(899\) | −4.19353 | + | 2.42114i | −0.139862 | + | 0.0807494i | ||||
\(900\) | −7.36455 | − | 6.75848i | −0.245485 | − | 0.225283i | ||||
\(901\) | −2.53840 | − | 1.46554i | −0.0845662 | − | 0.0488243i | ||||
\(902\) | 51.2397 | − | 7.86699i | 1.70610 | − | 0.261942i | ||||
\(903\) | −22.9348 | − | 7.51144i | −0.763223 | − | 0.249965i | ||||
\(904\) | 11.3391 | + | 23.0584i | 0.377132 | + | 0.766910i | ||||
\(905\) | 0.593594 | − | 1.02813i | 0.0197317 | − | 0.0341763i | ||||
\(906\) | −5.69448 | − | 7.10060i | −0.189187 | − | 0.235902i | ||||
\(907\) | −4.23020 | + | 2.44231i | −0.140462 | + | 0.0810955i | −0.568584 | − | 0.822625i | \(-0.692509\pi\) |
0.428122 | + | 0.903721i | \(0.359175\pi\) | |||||||
\(908\) | 38.4869 | + | 8.56246i | 1.27723 | + | 0.284155i | ||||
\(909\) | − | 8.00751i | − | 0.265592i | ||||||
\(910\) | 0.178752 | − | 1.07909i | 0.00592557 | − | 0.0357716i | ||||
\(911\) | −47.3325 | −1.56820 | −0.784098 | − | 0.620637i | \(-0.786874\pi\) | ||||
−0.784098 | + | 0.620637i | \(0.786874\pi\) | |||||||
\(912\) | −1.11124 | − | 12.9235i | −0.0367967 | − | 0.427940i | ||||
\(913\) | −14.8418 | − | 25.7068i | −0.491193 | − | 0.850771i | ||||
\(914\) | 2.83650 | − | 2.27479i | 0.0938231 | − | 0.0752435i | ||||
\(915\) | 0.0512683 | + | 0.0295998i | 0.00169488 | + | 0.000978539i | ||||
\(916\) | −4.20400 | − | 13.3681i | −0.138904 | − | 0.441696i | ||||
\(917\) | −44.3033 | + | 9.30849i | −1.46302 | + | 0.307394i | ||||
\(918\) | 0.721591 | − | 0.110788i | 0.0238161 | − | 0.00365655i | ||||
\(919\) | 15.5826 | − | 26.9898i | 0.514022 | − | 0.890312i | −0.485846 | − | 0.874044i | \(-0.661488\pi\) |
0.999868 | − | 0.0162672i | \(-0.00517825\pi\) | |||||||
\(920\) | −0.758166 | − | 0.507818i | −0.0249960 | − | 0.0167423i | ||||
\(921\) | −2.44121 | − | 4.22831i | −0.0804407 | − | 0.139327i | ||||
\(922\) | 15.4985 | − | 39.8103i | 0.510415 | − | 1.31108i | ||||
\(923\) | 74.4722i | 2.45128i | ||||||||
\(924\) | −9.71326 | + | 16.3740i | −0.319543 | + | 0.538664i | ||||
\(925\) | − | 6.50509i | − | 0.213886i | ||||||
\(926\) | 26.5823 | + | 10.3487i | 0.873549 | + | 0.340080i | ||||
\(927\) | −6.43821 | − | 11.1513i | −0.211459 | − | 0.366257i | ||||
\(928\) | −12.4613 | − | 3.65737i | −0.409063 | − | 0.120059i | ||||
\(929\) | 14.3019 | − | 24.7717i | 0.469231 | − | 0.812733i | −0.530150 | − | 0.847904i | \(-0.677864\pi\) |
0.999381 | + | 0.0351712i | \(0.0111977\pi\) | |||||||
\(930\) | 0.0210238 | + | 0.136933i | 0.000689397 | + | 0.00449022i | ||||
\(931\) | 13.4284 | − | 18.3016i | 0.440098 | − | 0.599811i | ||||
\(932\) | 47.2074 | − | 14.8457i | 1.54633 | − | 0.486288i | ||||
\(933\) | 15.7318 | + | 9.08277i | 0.515036 | + | 0.297356i | ||||
\(934\) | −8.16641 | − | 10.1829i | −0.267213 | − | 0.333195i | ||||
\(935\) | 0.0431310 | + | 0.0747050i | 0.00141053 | + | 0.00244312i | ||||
\(936\) | 1.18421 | − | 17.7631i | 0.0387073 | − | 0.580606i | ||||
\(937\) | 5.62816 | 0.183864 | 0.0919320 | − | 0.995765i | \(-0.470696\pi\) | ||||
0.0919320 | + | 0.995765i | \(0.470696\pi\) | |||||||
\(938\) | 18.4408 | − | 22.4457i | 0.602115 | − | 0.732879i | ||||
\(939\) | 13.6107i | 0.444167i | ||||||||
\(940\) | 0.421564 | + | 0.0937884i | 0.0137499 | + | 0.00305904i | ||||
\(941\) | −29.2442 | + | 16.8842i | −0.953334 | + | 0.550408i | −0.894115 | − | 0.447837i | \(-0.852194\pi\) |
−0.0592190 | + | 0.998245i | \(0.518861\pi\) | |||||||
\(942\) | 6.03012 | − | 4.83599i | 0.196472 | − | 0.157565i | ||||
\(943\) | −35.3863 | + | 61.2909i | −1.15234 | + | 1.99591i | ||||
\(944\) | 3.77795 | + | 5.41263i | 0.122962 | + | 0.176166i | ||||
\(945\) | 0.0252667 | + | 0.120255i | 0.000821925 | + | 0.00391191i | ||||
\(946\) | −7.04331 | − | 45.8749i | −0.228998 | − | 1.49152i | ||||
\(947\) | −10.1554 | − | 5.86321i | −0.330005 | − | 0.190529i | 0.325838 | − | 0.945426i | \(-0.394354\pi\) |
−0.655843 | + | 0.754897i | \(0.727687\pi\) | |||||||
\(948\) | 7.43987 | − | 8.10705i | 0.241636 | − | 0.263305i | ||||
\(949\) | −60.7261 | + | 35.0602i | −1.97125 | + | 1.13810i | ||||
\(950\) | −8.31509 | + | 21.3586i | −0.269777 | + | 0.692966i | ||||
\(951\) | −24.9886 | −0.810310 | ||||||||
\(952\) | 0.541078 | + | 3.82496i | 0.0175364 | + | 0.123968i | ||||
\(953\) | 37.7047 | 1.22137 | 0.610687 | − | 0.791872i | \(-0.290893\pi\) | ||||
0.610687 | + | 0.791872i | \(0.290893\pi\) | |||||||
\(954\) | 2.91312 | − | 7.48281i | 0.0943157 | − | 0.242265i | ||||
\(955\) | −0.562150 | + | 0.324557i | −0.0181907 | + | 0.0105024i | ||||
\(956\) | 32.3448 | + | 29.6830i | 1.04611 | + | 0.960016i | ||||
\(957\) | −7.15336 | − | 4.13000i | −0.231235 | − | 0.133504i | ||||
\(958\) | −8.41521 | − | 54.8104i | −0.271883 | − | 1.77084i | ||||
\(959\) | −12.5010 | − | 4.09423i | −0.403678 | − | 0.132210i | ||||
\(960\) | −0.226849 | + | 0.294270i | −0.00732152 | + | 0.00949751i | ||||
\(961\) | 13.2756 | − | 22.9941i | 0.428247 | − | 0.741745i | ||||
\(962\) | 9.03822 | − | 7.24840i | 0.291404 | − | 0.233698i | ||||
\(963\) | −8.84815 | + | 5.10848i | −0.285128 | + | 0.164619i | ||||
\(964\) | −6.42089 | + | 28.8609i | −0.206803 | + | 0.929546i | ||||
\(965\) | − | 0.836660i | − | 0.0269330i | ||||||
\(966\) | −9.14238 | − | 24.3302i | −0.294151 | − | 0.782811i | ||||
\(967\) | −8.89648 | −0.286092 | −0.143046 | − | 0.989716i | \(-0.545690\pi\) | ||||
−0.143046 | + | 0.989716i | \(0.545690\pi\) | |||||||
\(968\) | −5.48853 | − | 0.365904i | −0.176408 | − | 0.0117606i | ||||
\(969\) | −0.836999 | − | 1.44972i | −0.0268883 | − | 0.0465719i | ||||
\(970\) | −0.253325 | − | 0.315878i | −0.00813378 | − | 0.0101422i | ||||
\(971\) | 52.8744 | + | 30.5270i | 1.69682 | + | 0.979659i | 0.948745 | + | 0.316044i | \(0.102355\pi\) |
0.748074 | + | 0.663615i | \(0.230979\pi\) | |||||||
\(972\) | 0.599989 | + | 1.90788i | 0.0192447 | + | 0.0611953i | ||||
\(973\) | 9.19012 | + | 10.2549i | 0.294622 | + | 0.328757i | ||||
\(974\) | 1.31539 | + | 8.56744i | 0.0421477 | + | 0.274519i | ||||
\(975\) | −15.7286 | + | 27.2427i | −0.503718 | + | 0.872465i | ||||
\(976\) | −2.16161 | + | 4.61759i | −0.0691914 | + | 0.147805i | ||||
\(977\) | −23.8132 | − | 41.2456i | −0.761851 | − | 1.31956i | −0.941896 | − | 0.335906i | \(-0.890958\pi\) |
0.180045 | − | 0.983658i | \(-0.442376\pi\) | |||||||
\(978\) | 20.1029 | + | 7.82624i | 0.642821 | + | 0.250256i | ||||
\(979\) | − | 53.1205i | − | 1.69774i | ||||||
\(980\) | −0.637867 | + | 0.126171i | −0.0203759 | + | 0.00403037i | ||||
\(981\) | 11.6943i | 0.373370i | ||||||||
\(982\) | 10.5326 | − | 27.0546i | 0.336107 | − | 0.863346i | ||||
\(983\) | −6.89129 | − | 11.9361i | −0.219798 | − | 0.380701i | 0.734948 | − | 0.678123i | \(-0.237207\pi\) |
−0.954746 | + | 0.297422i | \(0.903873\pi\) | |||||||
\(984\) | 23.9425 | + | 16.0367i | 0.763260 | + | 0.511230i | ||||
\(985\) | 0.0859417 | − | 0.148855i | 0.00273833 | − | 0.00474293i | ||||
\(986\) | −1.65662 | + | 0.254346i | −0.0527576 | + | 0.00810003i | ||||
\(987\) | 8.20946 | + | 9.16061i | 0.261310 | + | 0.291585i | ||||
\(988\) | −38.9411 | + | 12.2462i | −1.23888 | + | 0.389602i | ||||
\(989\) | 54.8737 | + | 31.6813i | 1.74488 | + | 1.00741i | ||||
\(990\) | −0.184357 | + | 0.147849i | −0.00585924 | + | 0.00469895i | ||||
\(991\) | −4.32034 | − | 7.48305i | −0.137240 | − | 0.237707i | 0.789211 | − | 0.614122i | \(-0.210490\pi\) |
−0.926451 | + | 0.376415i | \(0.877157\pi\) | |||||||
\(992\) | −11.5948 | + | 2.81432i | −0.368134 | + | 0.0893546i | ||||
\(993\) | −7.32984 | −0.232605 | ||||||||
\(994\) | 41.4420 | − | 15.5724i | 1.31446 | − | 0.493926i | ||||
\(995\) | − | 0.0819463i | − | 0.00259787i | ||||||
\(996\) | 3.58340 | − | 16.1068i | 0.113544 | − | 0.510364i | ||||
\(997\) | 38.0017 | − | 21.9403i | 1.20353 | − | 0.694856i | 0.242188 | − | 0.970229i | \(-0.422135\pi\) |
0.961337 | + | 0.275374i | \(0.0888016\pi\) | |||||||
\(998\) | −9.78683 | − | 12.2035i | −0.309797 | − | 0.386294i | ||||
\(999\) | −0.650790 | + | 1.12720i | −0.0205901 | + | 0.0356631i |
(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 | 168.2.bc.a.37.3 | ✓ | 32 | |
3.2 | odd | 2 | 504.2.cj.e.37.14 | 32 | |||
4.3 | odd | 2 | 672.2.bk.a.625.13 | 32 | |||
7.2 | even | 3 | 1176.2.c.e.589.10 | 16 | |||
7.4 | even | 3 | inner | 168.2.bc.a.109.14 | yes | 32 | |
7.5 | odd | 6 | 1176.2.c.f.589.10 | 16 | |||
8.3 | odd | 2 | 672.2.bk.a.625.4 | 32 | |||
8.5 | even | 2 | inner | 168.2.bc.a.37.14 | yes | 32 | |
12.11 | even | 2 | 2016.2.cr.e.1297.9 | 32 | |||
21.11 | odd | 6 | 504.2.cj.e.109.3 | 32 | |||
24.5 | odd | 2 | 504.2.cj.e.37.3 | 32 | |||
24.11 | even | 2 | 2016.2.cr.e.1297.8 | 32 | |||
28.11 | odd | 6 | 672.2.bk.a.529.4 | 32 | |||
28.19 | even | 6 | 4704.2.c.f.2353.5 | 16 | |||
28.23 | odd | 6 | 4704.2.c.e.2353.12 | 16 | |||
56.5 | odd | 6 | 1176.2.c.f.589.9 | 16 | |||
56.11 | odd | 6 | 672.2.bk.a.529.13 | 32 | |||
56.19 | even | 6 | 4704.2.c.f.2353.12 | 16 | |||
56.37 | even | 6 | 1176.2.c.e.589.9 | 16 | |||
56.51 | odd | 6 | 4704.2.c.e.2353.5 | 16 | |||
56.53 | even | 6 | inner | 168.2.bc.a.109.3 | yes | 32 | |
84.11 | even | 6 | 2016.2.cr.e.1873.8 | 32 | |||
168.11 | even | 6 | 2016.2.cr.e.1873.9 | 32 | |||
168.53 | odd | 6 | 504.2.cj.e.109.14 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.bc.a.37.3 | ✓ | 32 | 1.1 | even | 1 | trivial | |
168.2.bc.a.37.14 | yes | 32 | 8.5 | even | 2 | inner | |
168.2.bc.a.109.3 | yes | 32 | 56.53 | even | 6 | inner | |
168.2.bc.a.109.14 | yes | 32 | 7.4 | even | 3 | inner | |
504.2.cj.e.37.3 | 32 | 24.5 | odd | 2 | |||
504.2.cj.e.37.14 | 32 | 3.2 | odd | 2 | |||
504.2.cj.e.109.3 | 32 | 21.11 | odd | 6 | |||
504.2.cj.e.109.14 | 32 | 168.53 | odd | 6 | |||
672.2.bk.a.529.4 | 32 | 28.11 | odd | 6 | |||
672.2.bk.a.529.13 | 32 | 56.11 | odd | 6 | |||
672.2.bk.a.625.4 | 32 | 8.3 | odd | 2 | |||
672.2.bk.a.625.13 | 32 | 4.3 | odd | 2 | |||
1176.2.c.e.589.9 | 16 | 56.37 | even | 6 | |||
1176.2.c.e.589.10 | 16 | 7.2 | even | 3 | |||
1176.2.c.f.589.9 | 16 | 56.5 | odd | 6 | |||
1176.2.c.f.589.10 | 16 | 7.5 | odd | 6 | |||
2016.2.cr.e.1297.8 | 32 | 24.11 | even | 2 | |||
2016.2.cr.e.1297.9 | 32 | 12.11 | even | 2 | |||
2016.2.cr.e.1873.8 | 32 | 84.11 | even | 6 | |||
2016.2.cr.e.1873.9 | 32 | 168.11 | even | 6 | |||
4704.2.c.e.2353.5 | 16 | 56.51 | odd | 6 | |||
4704.2.c.e.2353.12 | 16 | 28.23 | odd | 6 | |||
4704.2.c.f.2353.5 | 16 | 28.19 | even | 6 | |||
4704.2.c.f.2353.12 | 16 | 56.19 | even | 6 |