Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(41,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([17, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.z (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.10 | ||
Character | \(\chi\) | \(=\) | 378.41 |
Dual form | 378.2.z.a.83.10 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | 1.34465 | − | 1.09174i | 0.776336 | − | 0.630319i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 2.60134 | + | 2.18278i | 1.16335 | + | 0.976169i | 0.999946 | − | 0.0103897i | \(-0.00330721\pi\) |
0.163407 | + | 0.986559i | \(0.447752\pi\) | |||||||
\(6\) | −1.13465 | + | 1.30865i | −0.463218 | + | 0.534256i | ||||
\(7\) | 1.18236 | − | 2.36686i | 0.446891 | − | 0.894589i | ||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 0.616190 | − | 2.93604i | 0.205397 | − | 0.978679i | ||||
\(10\) | −2.94085 | − | 1.69790i | −0.929979 | − | 0.536924i | ||||
\(11\) | 0.604733 | + | 0.720693i | 0.182334 | + | 0.217297i | 0.849467 | − | 0.527641i | \(-0.176923\pi\) |
−0.667134 | + | 0.744938i | \(0.732479\pi\) | |||||||
\(12\) | 0.890163 | − | 1.48580i | 0.256968 | − | 0.428914i | ||||
\(13\) | 0.436415 | + | 0.0769517i | 0.121040 | + | 0.0213426i | 0.233840 | − | 0.972275i | \(-0.424871\pi\) |
−0.112800 | + | 0.993618i | \(0.535982\pi\) | |||||||
\(14\) | −0.753398 | + | 2.53622i | −0.201354 | + | 0.677832i | ||||
\(15\) | 5.88094 | + | 0.0950914i | 1.51845 | + | 0.0245525i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −1.11282 | + | 1.92746i | −0.269899 | + | 0.467479i | −0.968836 | − | 0.247705i | \(-0.920324\pi\) |
0.698936 | + | 0.715184i | \(0.253657\pi\) | |||||||
\(18\) | −0.0969913 | + | 2.99843i | −0.0228611 | + | 0.706737i | ||||
\(19\) | −6.85516 | + | 3.95783i | −1.57268 | + | 0.907988i | −0.576843 | + | 0.816855i | \(0.695716\pi\) |
−0.995839 | + | 0.0911335i | \(0.970951\pi\) | |||||||
\(20\) | 3.19101 | + | 1.16143i | 0.713532 | + | 0.259704i | ||||
\(21\) | −0.994137 | − | 4.47344i | −0.216939 | − | 0.976185i | ||||
\(22\) | −0.720693 | − | 0.604733i | −0.153652 | − | 0.128930i | ||||
\(23\) | −0.171072 | − | 0.470016i | −0.0356710 | − | 0.0980051i | 0.920579 | − | 0.390557i | \(-0.127718\pi\) |
−0.956250 | + | 0.292552i | \(0.905495\pi\) | |||||||
\(24\) | −0.618633 | + | 1.61781i | −0.126278 | + | 0.330233i | ||||
\(25\) | 1.13418 | + | 6.43225i | 0.226836 | + | 1.28645i | ||||
\(26\) | −0.443147 | −0.0869084 | ||||||||
\(27\) | −2.37684 | − | 4.62068i | −0.457423 | − | 0.889249i | ||||
\(28\) | 0.301543 | − | 2.62851i | 0.0569862 | − | 0.496742i | ||||
\(29\) | 8.00322 | − | 1.41118i | 1.48616 | − | 0.262050i | 0.629123 | − | 0.777305i | \(-0.283414\pi\) |
0.857037 | + | 0.515255i | \(0.172303\pi\) | |||||||
\(30\) | −5.80810 | + | 0.927567i | −1.06041 | + | 0.169350i | ||||
\(31\) | −2.68497 | − | 7.37690i | −0.482236 | − | 1.32493i | −0.907572 | − | 0.419896i | \(-0.862067\pi\) |
0.425337 | − | 0.905035i | \(-0.360156\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | 1.59997 | + | 0.308869i | 0.278519 | + | 0.0537672i | ||||
\(34\) | 0.761215 | − | 2.09142i | 0.130547 | − | 0.358676i | ||||
\(35\) | 8.24205 | − | 3.57616i | 1.39316 | − | 0.604482i | ||||
\(36\) | −0.425154 | − | 2.96972i | −0.0708591 | − | 0.494954i | ||||
\(37\) | −0.250369 | + | 0.433653i | −0.0411605 | + | 0.0712920i | −0.885872 | − | 0.463930i | \(-0.846439\pi\) |
0.844711 | + | 0.535222i | \(0.179772\pi\) | |||||||
\(38\) | 6.06375 | − | 5.08809i | 0.983670 | − | 0.825397i | ||||
\(39\) | 0.670839 | − | 0.372980i | 0.107420 | − | 0.0597246i | ||||
\(40\) | −3.34421 | − | 0.589675i | −0.528767 | − | 0.0932358i | ||||
\(41\) | −1.16708 | + | 6.61885i | −0.182268 | + | 1.03369i | 0.747149 | + | 0.664657i | \(0.231422\pi\) |
−0.929416 | + | 0.369033i | \(0.879689\pi\) | |||||||
\(42\) | 1.75584 | + | 4.23285i | 0.270932 | + | 0.653143i | ||||
\(43\) | 3.79011 | − | 3.18028i | 0.577987 | − | 0.484988i | −0.306299 | − | 0.951935i | \(-0.599091\pi\) |
0.884285 | + | 0.466947i | \(0.154646\pi\) | |||||||
\(44\) | 0.814755 | + | 0.470399i | 0.122829 | + | 0.0709153i | ||||
\(45\) | 8.01164 | − | 6.29261i | 1.19430 | − | 0.938047i | ||||
\(46\) | 0.250090 | + | 0.433169i | 0.0368738 | + | 0.0638673i | ||||
\(47\) | −2.17304 | − | 0.790920i | −0.316970 | − | 0.115368i | 0.178636 | − | 0.983915i | \(-0.442832\pi\) |
−0.495606 | + | 0.868548i | \(0.665054\pi\) | |||||||
\(48\) | 0.328305 | − | 1.70065i | 0.0473868 | − | 0.245468i | ||||
\(49\) | −4.20404 | − | 5.59697i | −0.600578 | − | 0.799566i | ||||
\(50\) | −2.23390 | − | 6.13758i | −0.315921 | − | 0.867985i | ||||
\(51\) | 0.607937 | + | 3.80669i | 0.0851282 | + | 0.533043i | ||||
\(52\) | 0.436415 | − | 0.0769517i | 0.0605199 | − | 0.0106713i | ||||
\(53\) | 7.36731i | 1.01198i | 0.862540 | + | 0.505989i | \(0.168872\pi\) | ||||
−0.862540 | + | 0.505989i | \(0.831128\pi\) | |||||||
\(54\) | 3.14310 | + | 4.13774i | 0.427722 | + | 0.563076i | ||||
\(55\) | 3.19476i | 0.430782i | ||||||||
\(56\) | 0.159475 | + | 2.64094i | 0.0213107 | + | 0.352911i | ||||
\(57\) | −4.89689 | + | 12.8060i | −0.648608 | + | 1.69620i | ||||
\(58\) | −7.63658 | + | 2.77949i | −1.00273 | + | 0.364965i | ||||
\(59\) | 0.00253927 | + | 0.00213070i | 0.000330585 | + | 0.000277394i | 0.642953 | − | 0.765906i | \(-0.277709\pi\) |
−0.642622 | + | 0.766183i | \(0.722154\pi\) | |||||||
\(60\) | 5.55879 | − | 1.92204i | 0.717637 | − | 0.248135i | ||||
\(61\) | −4.17042 | + | 11.4581i | −0.533967 | + | 1.46706i | 0.320344 | + | 0.947301i | \(0.396202\pi\) |
−0.854311 | + | 0.519762i | \(0.826021\pi\) | |||||||
\(62\) | 3.92517 | + | 6.79859i | 0.498497 | + | 0.863422i | ||||
\(63\) | −6.22063 | − | 4.92989i | −0.783725 | − | 0.621108i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0.967293 | + | 1.15278i | 0.119978 | + | 0.142984i | ||||
\(66\) | −1.62930 | − | 0.0263448i | −0.200553 | − | 0.00324282i | ||||
\(67\) | 2.67026 | − | 15.1438i | 0.326225 | − | 1.85011i | −0.174702 | − | 0.984621i | \(-0.555896\pi\) |
0.500927 | − | 0.865490i | \(-0.332993\pi\) | |||||||
\(68\) | −0.386479 | + | 2.19183i | −0.0468675 | + | 0.265799i | ||||
\(69\) | −0.743170 | − | 0.445243i | −0.0894671 | − | 0.0536009i | ||||
\(70\) | −7.49584 | + | 4.95305i | −0.895925 | + | 0.592003i | ||||
\(71\) | −10.3605 | − | 5.98164i | −1.22956 | − | 0.709889i | −0.262626 | − | 0.964898i | \(-0.584588\pi\) |
−0.966939 | + | 0.255008i | \(0.917922\pi\) | |||||||
\(72\) | 0.934382 | + | 2.85078i | 0.110118 | + | 0.335967i | ||||
\(73\) | 3.87195 | − | 2.23547i | 0.453177 | − | 0.261642i | −0.255994 | − | 0.966678i | \(-0.582403\pi\) |
0.709171 | + | 0.705036i | \(0.249069\pi\) | |||||||
\(74\) | 0.171263 | − | 0.470541i | 0.0199089 | − | 0.0546992i | ||||
\(75\) | 8.54745 | + | 7.41092i | 0.986975 | + | 0.855740i | ||||
\(76\) | −5.08809 | + | 6.06375i | −0.583644 | + | 0.695559i | ||||
\(77\) | 2.42079 | − | 0.579199i | 0.275875 | − | 0.0660058i | ||||
\(78\) | −0.595880 | + | 0.483804i | −0.0674701 | + | 0.0547800i | ||||
\(79\) | 1.93918 | + | 10.9977i | 0.218175 | + | 1.23733i | 0.875311 | + | 0.483561i | \(0.160657\pi\) |
−0.657135 | + | 0.753773i | \(0.728232\pi\) | |||||||
\(80\) | 3.39580 | 0.379662 | ||||||||
\(81\) | −8.24062 | − | 3.61831i | −0.915624 | − | 0.402035i | ||||
\(82\) | − | 6.72095i | − | 0.742205i | ||||||
\(83\) | 2.34318 | + | 13.2888i | 0.257197 | + | 1.45864i | 0.790369 | + | 0.612631i | \(0.209889\pi\) |
−0.533172 | + | 0.846007i | \(0.679000\pi\) | |||||||
\(84\) | −2.46419 | − | 3.86365i | −0.268865 | − | 0.421558i | ||||
\(85\) | −7.10206 | + | 2.58494i | −0.770326 | + | 0.280376i | ||||
\(86\) | −3.18028 | + | 3.79011i | −0.342939 | + | 0.408698i | ||||
\(87\) | 9.22091 | − | 10.6350i | 0.988585 | − | 1.14019i | ||||
\(88\) | −0.884061 | − | 0.321772i | −0.0942412 | − | 0.0343010i | ||||
\(89\) | −4.96971 | − | 8.60779i | −0.526788 | − | 0.912424i | −0.999513 | − | 0.0312137i | \(-0.990063\pi\) |
0.472724 | − | 0.881210i | \(-0.343271\pi\) | |||||||
\(90\) | −6.79722 | + | 7.58822i | −0.716490 | + | 0.799868i | ||||
\(91\) | 0.698134 | − | 0.941948i | 0.0731843 | − | 0.0987430i | ||||
\(92\) | −0.321510 | − | 0.383161i | −0.0335197 | − | 0.0399473i | ||||
\(93\) | −11.6641 | − | 6.98808i | −1.20951 | − | 0.724630i | ||||
\(94\) | 2.27736 | + | 0.401561i | 0.234892 | + | 0.0414178i | ||||
\(95\) | −26.4717 | − | 4.66767i | −2.71593 | − | 0.478893i | ||||
\(96\) | −0.0280026 | + | 1.73182i | −0.00285801 | + | 0.176754i | ||||
\(97\) | −1.02275 | − | 1.21886i | −0.103844 | − | 0.123757i | 0.711619 | − | 0.702565i | \(-0.247962\pi\) |
−0.815463 | + | 0.578809i | \(0.803518\pi\) | |||||||
\(98\) | 5.11208 | + | 4.78191i | 0.516398 | + | 0.483046i | ||||
\(99\) | 2.48861 | − | 1.33143i | 0.250115 | − | 0.133814i | ||||
\(100\) | 3.26574 | + | 5.65643i | 0.326574 | + | 0.565643i | ||||
\(101\) | −13.3280 | − | 4.85099i | −1.32619 | − | 0.482692i | −0.420750 | − | 0.907177i | \(-0.638233\pi\) |
−0.905435 | + | 0.424485i | \(0.860455\pi\) | |||||||
\(102\) | −1.25973 | − | 3.64329i | −0.124731 | − | 0.360740i | ||||
\(103\) | −6.25058 | + | 7.44915i | −0.615888 | + | 0.733987i | −0.980358 | − | 0.197229i | \(-0.936806\pi\) |
0.364470 | + | 0.931215i | \(0.381250\pi\) | |||||||
\(104\) | −0.416422 | + | 0.151565i | −0.0408336 | + | 0.0148622i | ||||
\(105\) | 7.17846 | − | 13.8069i | 0.700546 | − | 1.34742i | ||||
\(106\) | −1.27932 | − | 7.25539i | −0.124259 | − | 0.704705i | ||||
\(107\) | 10.6751i | 1.03200i | 0.856588 | + | 0.516001i | \(0.172580\pi\) | ||||
−0.856588 | + | 0.516001i | \(0.827420\pi\) | |||||||
\(108\) | −3.81386 | − | 3.52909i | −0.366989 | − | 0.339587i | ||||
\(109\) | −3.06313 | −0.293395 | −0.146697 | − | 0.989181i | \(-0.546864\pi\) | ||||
−0.146697 | + | 0.989181i | \(0.546864\pi\) | |||||||
\(110\) | −0.554765 | − | 3.14623i | −0.0528948 | − | 0.299981i | ||||
\(111\) | 0.136777 | + | 0.856452i | 0.0129823 | + | 0.0812908i | ||||
\(112\) | −0.615646 | − | 2.57313i | −0.0581731 | − | 0.243138i | ||||
\(113\) | −8.27791 | + | 9.86522i | −0.778720 | + | 0.928042i | −0.998875 | − | 0.0474227i | \(-0.984899\pi\) |
0.220155 | + | 0.975465i | \(0.429344\pi\) | |||||||
\(114\) | 2.59875 | − | 13.4618i | 0.243396 | − | 1.26081i | ||||
\(115\) | 0.580927 | − | 1.59608i | 0.0541717 | − | 0.148835i | ||||
\(116\) | 7.03791 | − | 4.06334i | 0.653454 | − | 0.377272i | ||||
\(117\) | 0.494848 | − | 1.23391i | 0.0457487 | − | 0.114075i | ||||
\(118\) | −0.00287069 | − | 0.00165739i | −0.000264268 | − | 0.000152575i | ||||
\(119\) | 3.24628 | + | 4.91285i | 0.297586 | + | 0.450361i | ||||
\(120\) | −5.14059 | + | 2.85812i | −0.469269 | + | 0.260909i | ||||
\(121\) | 1.75643 | − | 9.96123i | 0.159676 | − | 0.905567i | ||||
\(122\) | 2.11738 | − | 12.0082i | 0.191698 | − | 1.08717i | ||||
\(123\) | 5.65677 | + | 10.1742i | 0.510053 | + | 0.917378i | ||||
\(124\) | −5.04610 | − | 6.01371i | −0.453153 | − | 0.540047i | ||||
\(125\) | −2.60030 | + | 4.50386i | −0.232578 | + | 0.402837i | ||||
\(126\) | 6.98219 | + | 3.77479i | 0.622023 | + | 0.336285i | ||||
\(127\) | 2.00102 | + | 3.46586i | 0.177562 | + | 0.307546i | 0.941045 | − | 0.338282i | \(-0.109846\pi\) |
−0.763483 | + | 0.645828i | \(0.776512\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | 1.62434 | − | 8.41421i | 0.143015 | − | 0.740830i | ||||
\(130\) | −1.15278 | − | 0.967293i | −0.101105 | − | 0.0848372i | ||||
\(131\) | −2.04658 | + | 0.744896i | −0.178811 | + | 0.0650819i | −0.429874 | − | 0.902889i | \(-0.641442\pi\) |
0.251063 | + | 0.967971i | \(0.419220\pi\) | |||||||
\(132\) | 1.60912 | − | 0.256980i | 0.140056 | − | 0.0223672i | ||||
\(133\) | 1.26235 | + | 20.9048i | 0.109459 | + | 1.81267i | ||||
\(134\) | 15.3774i | 1.32841i | ||||||||
\(135\) | 3.90297 | − | 17.2080i | 0.335914 | − | 1.48103i | ||||
\(136\) | − | 2.22564i | − | 0.190847i | ||||||
\(137\) | 0.365105 | − | 0.0643778i | 0.0311930 | − | 0.00550017i | −0.158030 | − | 0.987434i | \(-0.550514\pi\) |
0.189223 | + | 0.981934i | \(0.439403\pi\) | |||||||
\(138\) | 0.809195 | + | 0.309428i | 0.0688833 | + | 0.0263403i | ||||
\(139\) | 2.62642 | + | 7.21603i | 0.222770 | + | 0.612056i | 0.999850 | − | 0.0173467i | \(-0.00552191\pi\) |
−0.777079 | + | 0.629403i | \(0.783300\pi\) | |||||||
\(140\) | 6.52188 | − | 6.17944i | 0.551199 | − | 0.522258i | ||||
\(141\) | −3.78546 | + | 1.30888i | −0.318794 | + | 0.110228i | ||||
\(142\) | 11.2418 | + | 4.09168i | 0.943391 | + | 0.343366i | ||||
\(143\) | 0.208456 | + | 0.361056i | 0.0174320 | + | 0.0301931i | ||||
\(144\) | −1.41522 | − | 2.64521i | −0.117935 | − | 0.220434i | ||||
\(145\) | 23.8994 | + | 13.7983i | 1.98473 | + | 1.14589i | ||||
\(146\) | −3.42494 | + | 2.87387i | −0.283450 | + | 0.237843i | ||||
\(147\) | −11.7634 | − | 2.93624i | −0.970232 | − | 0.242177i | ||||
\(148\) | −0.0869524 | + | 0.493131i | −0.00714744 | + | 0.0405352i | ||||
\(149\) | −1.33021 | − | 0.234552i | −0.108975 | − | 0.0192153i | 0.118895 | − | 0.992907i | \(-0.462065\pi\) |
−0.227870 | + | 0.973692i | \(0.573176\pi\) | |||||||
\(150\) | −9.70449 | − | 5.81408i | −0.792368 | − | 0.474718i | ||||
\(151\) | 1.44238 | − | 1.21030i | 0.117379 | − | 0.0984928i | −0.582209 | − | 0.813039i | \(-0.697811\pi\) |
0.699588 | + | 0.714547i | \(0.253367\pi\) | |||||||
\(152\) | 3.95783 | − | 6.85516i | 0.321022 | − | 0.556027i | ||||
\(153\) | 4.97340 | + | 4.45497i | 0.402075 | + | 0.360163i | ||||
\(154\) | −2.28344 | + | 0.990765i | −0.184005 | + | 0.0798381i | ||||
\(155\) | 9.11764 | − | 25.0505i | 0.732347 | − | 2.01211i | ||||
\(156\) | 0.502816 | − | 0.579927i | 0.0402575 | − | 0.0464313i | ||||
\(157\) | −7.04611 | + | 8.39723i | −0.562341 | + | 0.670172i | −0.970040 | − | 0.242944i | \(-0.921887\pi\) |
0.407699 | + | 0.913116i | \(0.366331\pi\) | |||||||
\(158\) | −3.81945 | − | 10.4938i | −0.303859 | − | 0.834846i | ||||
\(159\) | 8.04322 | + | 9.90649i | 0.637869 | + | 0.785636i | ||||
\(160\) | −3.34421 | + | 0.589675i | −0.264383 | + | 0.0466179i | ||||
\(161\) | −1.31473 | − | 0.150826i | −0.103615 | − | 0.0118867i | ||||
\(162\) | 8.74374 | + | 2.13237i | 0.686973 | + | 0.167535i | ||||
\(163\) | 18.9873 | 1.48720 | 0.743602 | − | 0.668623i | \(-0.233116\pi\) | ||||
0.743602 | + | 0.668623i | \(0.233116\pi\) | |||||||
\(164\) | 1.16708 | + | 6.61885i | 0.0911338 | + | 0.516845i | ||||
\(165\) | 3.48786 | + | 4.29585i | 0.271530 | + | 0.334432i | ||||
\(166\) | −4.61516 | − | 12.6801i | −0.358206 | − | 0.984163i | ||||
\(167\) | −13.2165 | − | 11.0900i | −1.02272 | − | 0.858168i | −0.0327573 | − | 0.999463i | \(-0.510429\pi\) |
−0.989967 | + | 0.141295i | \(0.954873\pi\) | |||||||
\(168\) | 3.09767 | + | 3.37705i | 0.238990 | + | 0.260545i | ||||
\(169\) | −12.0315 | − | 4.37910i | −0.925498 | − | 0.336854i | ||||
\(170\) | 6.54529 | − | 3.77893i | 0.502001 | − | 0.289830i | ||||
\(171\) | 7.39625 | + | 22.5658i | 0.565605 | + | 1.72565i | ||||
\(172\) | 2.47382 | − | 4.28478i | 0.188627 | − | 0.326711i | ||||
\(173\) | −8.32627 | + | 6.98657i | −0.633035 | + | 0.531179i | −0.901870 | − | 0.432007i | \(-0.857806\pi\) |
0.268835 | + | 0.963186i | \(0.413361\pi\) | |||||||
\(174\) | −7.23407 | + | 12.0746i | −0.548414 | + | 0.915376i | ||||
\(175\) | 16.5652 | + | 4.92080i | 1.25221 | + | 0.371978i | ||||
\(176\) | 0.926505 | + | 0.163368i | 0.0698379 | + | 0.0123143i | ||||
\(177\) | 0.00574062 | 9.28227e-5i | 0.000431492 | 6.97698e-6i | ||||||
\(178\) | 6.38894 | + | 7.61404i | 0.478871 | + | 0.570696i | ||||
\(179\) | 7.43780 | + | 4.29421i | 0.555927 | + | 0.320965i | 0.751509 | − | 0.659723i | \(-0.229326\pi\) |
−0.195582 | + | 0.980687i | \(0.562660\pi\) | |||||||
\(180\) | 5.37628 | − | 8.65326i | 0.400724 | − | 0.644976i | ||||
\(181\) | 6.94977 | − | 4.01245i | 0.516572 | − | 0.298243i | −0.218959 | − | 0.975734i | \(-0.570266\pi\) |
0.735531 | + | 0.677491i | \(0.236933\pi\) | |||||||
\(182\) | −0.523960 | + | 1.04887i | −0.0388385 | + | 0.0777472i | ||||
\(183\) | 6.90157 | + | 19.9603i | 0.510179 | + | 1.47550i | ||||
\(184\) | 0.383161 | + | 0.321510i | 0.0282470 | + | 0.0237020i | ||||
\(185\) | −1.59786 | + | 0.581575i | −0.117477 | + | 0.0427582i | ||||
\(186\) | 12.7003 | + | 4.85648i | 0.931232 | + | 0.356094i | ||||
\(187\) | −2.06207 | + | 0.363599i | −0.150794 | + | 0.0265890i | ||||
\(188\) | −2.31250 | −0.168656 | ||||||||
\(189\) | −13.7468 | + | 0.162332i | −0.999930 | + | 0.0118079i | ||||
\(190\) | 26.8800 | 1.95008 | ||||||||
\(191\) | 21.8549 | − | 3.85361i | 1.58136 | − | 0.278837i | 0.687163 | − | 0.726503i | \(-0.258856\pi\) |
0.894201 | + | 0.447666i | \(0.147745\pi\) | |||||||
\(192\) | −0.273151 | − | 1.71038i | −0.0197130 | − | 0.123436i | ||||
\(193\) | 23.8391 | − | 8.67673i | 1.71598 | − | 0.624565i | 0.718499 | − | 0.695528i | \(-0.244830\pi\) |
0.997479 | + | 0.0709632i | \(0.0226073\pi\) | |||||||
\(194\) | 1.21886 | + | 1.02275i | 0.0875091 | + | 0.0734289i | ||||
\(195\) | 2.55921 | + | 0.494048i | 0.183269 | + | 0.0353795i | ||||
\(196\) | −5.86478 | − | 3.82156i | −0.418913 | − | 0.272969i | ||||
\(197\) | 1.35235 | − | 0.780778i | 0.0963507 | − | 0.0556281i | −0.451050 | − | 0.892498i | \(-0.648951\pi\) |
0.547401 | + | 0.836870i | \(0.315617\pi\) | |||||||
\(198\) | −2.21960 | + | 1.74335i | −0.157740 | + | 0.123894i | ||||
\(199\) | −13.8280 | − | 7.98362i | −0.980244 | − | 0.565944i | −0.0778999 | − | 0.996961i | \(-0.524821\pi\) |
−0.902344 | + | 0.431017i | \(0.858155\pi\) | |||||||
\(200\) | −4.19835 | − | 5.00340i | −0.296869 | − | 0.353794i | ||||
\(201\) | −12.9426 | − | 23.2784i | −0.912900 | − | 1.64193i | ||||
\(202\) | 13.9679 | + | 2.46291i | 0.982777 | + | 0.173290i | ||||
\(203\) | 6.12262 | − | 20.6110i | 0.429724 | − | 1.44661i | ||||
\(204\) | 1.87324 | + | 3.36919i | 0.131153 | + | 0.235891i | ||||
\(205\) | −17.4835 | + | 14.6704i | −1.22110 | + | 1.02462i | ||||
\(206\) | 4.86209 | − | 8.42138i | 0.338758 | − | 0.586746i | ||||
\(207\) | −1.48540 | + | 0.212654i | −0.103242 | + | 0.0147805i | ||||
\(208\) | 0.383777 | − | 0.221574i | 0.0266101 | − | 0.0153634i | ||||
\(209\) | −6.99792 | − | 2.54704i | −0.484056 | − | 0.176182i | ||||
\(210\) | −4.67186 | + | 14.8437i | −0.322389 | + | 1.02431i | ||||
\(211\) | −19.9260 | − | 16.7199i | −1.37176 | − | 1.15105i | −0.972149 | − | 0.234365i | \(-0.924699\pi\) |
−0.399616 | − | 0.916683i | \(-0.630857\pi\) | |||||||
\(212\) | 2.51977 | + | 6.92301i | 0.173058 | + | 0.475474i | ||||
\(213\) | −20.4617 | + | 3.26778i | −1.40201 | + | 0.223904i | ||||
\(214\) | −1.85371 | − | 10.5129i | −0.126717 | − | 0.718649i | ||||
\(215\) | 16.8012 | 1.14583 | ||||||||
\(216\) | 4.36874 | + | 2.81320i | 0.297255 | + | 0.191414i | ||||
\(217\) | −20.6347 | − | 2.36721i | −1.40077 | − | 0.160697i | ||||
\(218\) | 3.01659 | − | 0.531907i | 0.204310 | − | 0.0360253i | ||||
\(219\) | 2.76587 | − | 7.23311i | 0.186900 | − | 0.488768i | ||||
\(220\) | 1.09267 | + | 3.00210i | 0.0736680 | + | 0.202401i | ||||
\(221\) | −0.633974 | + | 0.755541i | −0.0426457 | + | 0.0508232i | ||||
\(222\) | −0.283421 | − | 0.819689i | −0.0190219 | − | 0.0550140i | ||||
\(223\) | 5.22456 | − | 14.3544i | 0.349862 | − | 0.961238i | −0.632551 | − | 0.774519i | \(-0.717992\pi\) |
0.982413 | − | 0.186720i | \(-0.0597856\pi\) | |||||||
\(224\) | 1.05311 | + | 2.42713i | 0.0703640 | + | 0.162169i | ||||
\(225\) | 19.5842 | + | 0.633497i | 1.30561 | + | 0.0422331i | ||||
\(226\) | 6.43907 | − | 11.1528i | 0.428320 | − | 0.741873i | ||||
\(227\) | 18.4124 | − | 15.4498i | 1.22207 | − | 1.02544i | 0.223361 | − | 0.974736i | \(-0.428297\pi\) |
0.998714 | − | 0.0507061i | \(-0.0161472\pi\) | |||||||
\(228\) | −0.221659 | + | 13.7085i | −0.0146797 | + | 0.907870i | ||||
\(229\) | 12.0270 | + | 2.12068i | 0.794764 | + | 0.140138i | 0.556265 | − | 0.831005i | \(-0.312234\pi\) |
0.238498 | + | 0.971143i | \(0.423345\pi\) | |||||||
\(230\) | −0.294944 | + | 1.67271i | −0.0194480 | + | 0.110295i | ||||
\(231\) | 2.62279 | − | 3.42171i | 0.172567 | − | 0.225132i | ||||
\(232\) | −6.22540 | + | 5.22373i | −0.408717 | + | 0.342955i | ||||
\(233\) | −3.32396 | − | 1.91909i | −0.217760 | − | 0.125724i | 0.387153 | − | 0.922016i | \(-0.373459\pi\) |
−0.604913 | + | 0.796292i | \(0.706792\pi\) | |||||||
\(234\) | −0.273063 | + | 1.30110i | −0.0178507 | + | 0.0850554i | ||||
\(235\) | −3.92639 | − | 6.80071i | −0.256130 | − | 0.443629i | ||||
\(236\) | 0.00311488 | + | 0.00113372i | 0.000202761 | + | 7.37991e-5i | ||||
\(237\) | 14.6142 | + | 12.6710i | 0.949292 | + | 0.823067i | ||||
\(238\) | −4.05007 | − | 4.27451i | −0.262527 | − | 0.277075i | ||||
\(239\) | 5.85260 | + | 16.0799i | 0.378573 | + | 1.04012i | 0.971948 | + | 0.235196i | \(0.0755731\pi\) |
−0.593375 | + | 0.804926i | \(0.702205\pi\) | |||||||
\(240\) | 4.56618 | − | 3.70735i | 0.294746 | − | 0.239308i | ||||
\(241\) | 17.9121 | − | 3.15839i | 1.15382 | − | 0.203450i | 0.436179 | − | 0.899860i | \(-0.356332\pi\) |
0.717644 | + | 0.696410i | \(0.245220\pi\) | |||||||
\(242\) | 10.1149i | 0.650210i | ||||||||
\(243\) | −15.0311 | + | 4.13127i | −0.964243 | + | 0.265021i | ||||
\(244\) | 12.1935i | 0.780608i | ||||||||
\(245\) | 1.28081 | − | 23.7361i | 0.0818282 | − | 1.51644i | ||||
\(246\) | −7.33756 | − | 9.03736i | −0.467826 | − | 0.576201i | ||||
\(247\) | −3.29626 | + | 1.19974i | −0.209736 | + | 0.0763376i | ||||
\(248\) | 6.01371 | + | 5.04610i | 0.381871 | + | 0.320428i | ||||
\(249\) | 17.6588 | + | 15.3107i | 1.11908 | + | 0.970278i | ||||
\(250\) | 1.77871 | − | 4.88697i | 0.112496 | − | 0.309079i | ||||
\(251\) | −4.89870 | − | 8.48480i | −0.309203 | − | 0.535556i | 0.668985 | − | 0.743276i | \(-0.266729\pi\) |
−0.978188 | + | 0.207720i | \(0.933396\pi\) | |||||||
\(252\) | −7.53160 | − | 2.50500i | −0.474446 | − | 0.157800i | ||||
\(253\) | 0.235284 | − | 0.407525i | 0.0147922 | − | 0.0256209i | ||||
\(254\) | −2.57246 | − | 3.06574i | −0.161410 | − | 0.192361i | ||||
\(255\) | −6.72772 | + | 11.2295i | −0.421306 | + | 0.703217i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −2.51430 | + | 14.2593i | −0.156838 | + | 0.889471i | 0.800249 | + | 0.599668i | \(0.204701\pi\) |
−0.957086 | + | 0.289803i | \(0.906410\pi\) | |||||||
\(258\) | −0.138547 | + | 8.56844i | −0.00862555 | + | 0.533448i | ||||
\(259\) | 0.730367 | + | 1.10532i | 0.0453828 | + | 0.0686814i | ||||
\(260\) | 1.30323 | + | 0.752421i | 0.0808229 | + | 0.0466632i | ||||
\(261\) | 0.788217 | − | 24.3673i | 0.0487894 | − | 1.50830i | ||||
\(262\) | 1.88614 | − | 1.08896i | 0.116526 | − | 0.0672765i | ||||
\(263\) | −4.10344 | + | 11.2741i | −0.253029 | + | 0.695192i | 0.746526 | + | 0.665356i | \(0.231720\pi\) |
−0.999555 | + | 0.0298351i | \(0.990502\pi\) | |||||||
\(264\) | −1.54005 | + | 0.532496i | −0.0947834 | + | 0.0327729i | ||||
\(265\) | −16.0812 | + | 19.1649i | −0.987862 | + | 1.17729i | ||||
\(266\) | −4.87325 | − | 20.3680i | −0.298798 | − | 1.24884i | ||||
\(267\) | −16.0800 | − | 6.14885i | −0.984083 | − | 0.376304i | ||||
\(268\) | −2.67026 | − | 15.1438i | −0.163112 | − | 0.925056i | ||||
\(269\) | −4.05269 | −0.247097 | −0.123549 | − | 0.992339i | \(-0.539427\pi\) | ||||
−0.123549 | + | 0.992339i | \(0.539427\pi\) | |||||||
\(270\) | −0.855525 | + | 17.6244i | −0.0520656 | + | 1.07258i | ||||
\(271\) | − | 20.4925i | − | 1.24483i | −0.782686 | − | 0.622416i | \(-0.786151\pi\) | ||
0.782686 | − | 0.622416i | \(-0.213849\pi\) | |||||||
\(272\) | 0.386479 | + | 2.19183i | 0.0234337 | + | 0.132899i | ||||
\(273\) | −0.0896171 | − | 2.02878i | −0.00542388 | − | 0.122787i | ||||
\(274\) | −0.348379 | + | 0.126800i | −0.0210463 | + | 0.00766024i | ||||
\(275\) | −3.94980 | + | 4.70719i | −0.238182 | + | 0.283854i | ||||
\(276\) | −0.850633 | − | 0.164212i | −0.0512021 | − | 0.00988440i | ||||
\(277\) | 16.2030 | + | 5.89740i | 0.973542 | + | 0.354340i | 0.779326 | − | 0.626618i | \(-0.215561\pi\) |
0.194216 | + | 0.980959i | \(0.437784\pi\) | |||||||
\(278\) | −3.83957 | − | 6.65033i | −0.230282 | − | 0.398860i | ||||
\(279\) | −23.3133 | + | 3.33761i | −1.39573 | + | 0.199817i | ||||
\(280\) | −5.34975 | + | 7.21807i | −0.319708 | + | 0.431362i | ||||
\(281\) | −13.9815 | − | 16.6625i | −0.834067 | − | 0.994003i | −0.999969 | − | 0.00786044i | \(-0.997498\pi\) |
0.165902 | − | 0.986142i | \(-0.446947\pi\) | |||||||
\(282\) | 3.50067 | − | 1.94634i | 0.208462 | − | 0.115903i | ||||
\(283\) | 15.6562 | + | 2.76061i | 0.930665 | + | 0.164101i | 0.618373 | − | 0.785885i | \(-0.287792\pi\) |
0.312292 | + | 0.949986i | \(0.398903\pi\) | |||||||
\(284\) | −11.7815 | − | 2.07740i | −0.699105 | − | 0.123271i | ||||
\(285\) | −40.6911 | + | 22.6239i | −2.41033 | + | 1.34012i | ||||
\(286\) | −0.267986 | − | 0.319373i | −0.0158463 | − | 0.0188849i | ||||
\(287\) | 14.2860 | + | 10.5882i | 0.843274 | + | 0.625001i | ||||
\(288\) | 1.85306 | + | 2.35928i | 0.109192 | + | 0.139022i | ||||
\(289\) | 6.02325 | + | 10.4326i | 0.354309 | + | 0.613681i | ||||
\(290\) | −25.9323 | − | 9.43860i | −1.52280 | − | 0.554253i | ||||
\(291\) | −2.70592 | − | 0.522370i | −0.158624 | − | 0.0306219i | ||||
\(292\) | 2.87387 | − | 3.42494i | 0.168180 | − | 0.200429i | ||||
\(293\) | −10.8584 | + | 3.95215i | −0.634357 | + | 0.230887i | −0.639127 | − | 0.769102i | \(-0.720704\pi\) |
0.00476955 | + | 0.999989i | \(0.498482\pi\) | |||||||
\(294\) | 12.0946 | + | 0.848936i | 0.705371 | + | 0.0495109i | ||||
\(295\) | 0.00195465 | + | 0.0110853i | 0.000113804 | + | 0.000645414i | ||||
\(296\) | − | 0.500739i | − | 0.0291049i | ||||||
\(297\) | 1.89274 | − | 4.50725i | 0.109828 | − | 0.261537i | ||||
\(298\) | 1.35073 | 0.0782458 | ||||||||
\(299\) | −0.0384898 | − | 0.218286i | −0.00222592 | − | 0.0126238i | ||||
\(300\) | 10.5667 | + | 4.04059i | 0.610067 | + | 0.233283i | ||||
\(301\) | −3.04600 | − | 12.7309i | −0.175568 | − | 0.733797i | ||||
\(302\) | −1.21030 | + | 1.44238i | −0.0696449 | + | 0.0829996i | ||||
\(303\) | −23.2176 | + | 8.02785i | −1.33382 | + | 0.461188i | ||||
\(304\) | −2.70731 | + | 7.43829i | −0.155275 | + | 0.426615i | ||||
\(305\) | −35.8592 | + | 20.7033i | −2.05329 | + | 1.18547i | ||||
\(306\) | −5.67144 | − | 3.52367i | −0.324215 | − | 0.201435i | ||||
\(307\) | −9.18543 | − | 5.30321i | −0.524240 | − | 0.302670i | 0.214428 | − | 0.976740i | \(-0.431211\pi\) |
−0.738668 | + | 0.674070i | \(0.764545\pi\) | |||||||
\(308\) | 2.07670 | − | 1.37223i | 0.118331 | − | 0.0781900i | ||||
\(309\) | −0.272303 | + | 16.8406i | −0.0154908 | + | 0.958026i | ||||
\(310\) | −4.62915 | + | 26.2532i | −0.262918 | + | 1.49108i | ||||
\(311\) | −2.90114 | + | 16.4532i | −0.164508 | + | 0.932974i | 0.785061 | + | 0.619418i | \(0.212631\pi\) |
−0.949570 | + | 0.313556i | \(0.898480\pi\) | |||||||
\(312\) | −0.394474 | + | 0.658430i | −0.0223327 | + | 0.0372762i | ||||
\(313\) | 15.9842 | + | 19.0492i | 0.903479 | + | 1.07672i | 0.996708 | + | 0.0810793i | \(0.0258367\pi\) |
−0.0932289 | + | 0.995645i | \(0.529719\pi\) | |||||||
\(314\) | 5.48090 | − | 9.49320i | 0.309305 | − | 0.535732i | ||||
\(315\) | −5.42107 | − | 26.4026i | −0.305443 | − | 1.48762i | ||||
\(316\) | 5.58366 | + | 9.67118i | 0.314105 | + | 0.544047i | ||||
\(317\) | 6.00784 | − | 16.5064i | 0.337434 | − | 0.927092i | −0.648686 | − | 0.761056i | \(-0.724681\pi\) |
0.986120 | − | 0.166035i | \(-0.0530966\pi\) | |||||||
\(318\) | −9.64127 | − | 8.35930i | −0.540655 | − | 0.468766i | ||||
\(319\) | 5.85684 | + | 4.91447i | 0.327920 | + | 0.275158i | ||||
\(320\) | 3.19101 | − | 1.16143i | 0.178383 | − | 0.0649261i | ||||
\(321\) | 11.6545 | + | 14.3543i | 0.650490 | + | 0.801180i | ||||
\(322\) | 1.32095 | − | 0.0797661i | 0.0736135 | − | 0.00444519i | ||||
\(323\) | − | 17.6174i | − | 0.980261i | ||||||
\(324\) | −8.98119 | − | 0.581644i | −0.498955 | − | 0.0323135i | ||||
\(325\) | 2.89441i | 0.160553i | ||||||||
\(326\) | −18.6989 | + | 3.29712i | −1.03564 | + | 0.182610i | ||||
\(327\) | −4.11885 | + | 3.34415i | −0.227773 | + | 0.184932i | ||||
\(328\) | −2.29870 | − | 6.31563i | −0.126925 | − | 0.348722i | ||||
\(329\) | −4.44131 | + | 4.20812i | −0.244857 | + | 0.232001i | ||||
\(330\) | −4.18084 | − | 3.62493i | −0.230148 | − | 0.199546i | ||||
\(331\) | −6.81196 | − | 2.47935i | −0.374419 | − | 0.136278i | 0.147954 | − | 0.988994i | \(-0.452731\pi\) |
−0.522374 | + | 0.852717i | \(0.674953\pi\) | |||||||
\(332\) | 6.74692 | + | 11.6860i | 0.370285 | + | 0.641353i | ||||
\(333\) | 1.11894 | + | 1.00231i | 0.0613178 | + | 0.0549260i | ||||
\(334\) | 14.9415 | + | 8.62647i | 0.817562 | + | 0.472019i | ||||
\(335\) | 40.0019 | − | 33.5656i | 2.18554 | − | 1.83388i | ||||
\(336\) | −3.63703 | − | 2.78784i | −0.198416 | − | 0.152089i | ||||
\(337\) | −1.90759 | + | 10.8185i | −0.103913 | + | 0.589320i | 0.887736 | + | 0.460353i | \(0.152277\pi\) |
−0.991649 | + | 0.128967i | \(0.958834\pi\) | |||||||
\(338\) | 12.6091 | + | 2.22333i | 0.685845 | + | 0.120933i | ||||
\(339\) | −0.360622 | + | 22.3027i | −0.0195863 | + | 1.21131i | ||||
\(340\) | −5.78965 | + | 4.85809i | −0.313988 | + | 0.263467i | ||||
\(341\) | 3.69279 | − | 6.39610i | 0.199976 | − | 0.346368i | ||||
\(342\) | −11.2024 | − | 20.9386i | −0.605756 | − | 1.13223i | ||||
\(343\) | −18.2179 | + | 3.33274i | −0.983676 | + | 0.179951i | ||||
\(344\) | −1.69219 | + | 4.64926i | −0.0912369 | + | 0.250671i | ||||
\(345\) | −0.961368 | − | 2.78040i | −0.0517583 | − | 0.149692i | ||||
\(346\) | 6.98657 | − | 8.32627i | 0.375601 | − | 0.447623i | ||||
\(347\) | −1.76874 | − | 4.85957i | −0.0949509 | − | 0.260875i | 0.883120 | − | 0.469147i | \(-0.155438\pi\) |
−0.978071 | + | 0.208271i | \(0.933216\pi\) | |||||||
\(348\) | 5.02743 | − | 13.1474i | 0.269499 | − | 0.704774i | ||||
\(349\) | 12.2071 | − | 2.15244i | 0.653432 | − | 0.115218i | 0.162902 | − | 0.986642i | \(-0.447914\pi\) |
0.490530 | + | 0.871425i | \(0.336803\pi\) | |||||||
\(350\) | −17.1681 | − | 1.96952i | −0.917672 | − | 0.105275i | ||||
\(351\) | −0.681719 | − | 2.19943i | −0.0363874 | − | 0.117397i | ||||
\(352\) | −0.940798 | −0.0501447 | ||||||||
\(353\) | 2.33281 | + | 13.2300i | 0.124163 | + | 0.704164i | 0.981801 | + | 0.189910i | \(0.0608197\pi\) |
−0.857638 | + | 0.514253i | \(0.828069\pi\) | |||||||
\(354\) | −0.00566953 | 0.000905436i | −0.000301332 | 4.81234e-5i | ||||||
\(355\) | −13.8945 | − | 38.1749i | −0.737446 | − | 2.02611i | ||||
\(356\) | −7.61404 | − | 6.38894i | −0.403543 | − | 0.338613i | ||||
\(357\) | 9.72870 | + | 3.06198i | 0.514898 | + | 0.162057i | ||||
\(358\) | −8.07048 | − | 2.93742i | −0.426538 | − | 0.155247i | ||||
\(359\) | −12.5072 | + | 7.22101i | −0.660103 | + | 0.381110i | −0.792316 | − | 0.610111i | \(-0.791125\pi\) |
0.132214 | + | 0.991221i | \(0.457792\pi\) | |||||||
\(360\) | −3.79198 | + | 9.45538i | −0.199855 | + | 0.498342i | ||||
\(361\) | 21.8288 | − | 37.8086i | 1.14889 | − | 1.98993i | ||||
\(362\) | −6.14743 | + | 5.15831i | −0.323102 | + | 0.271115i | ||||
\(363\) | −8.51332 | − | 15.3120i | −0.446833 | − | 0.803671i | ||||
\(364\) | 0.333866 | − | 1.12392i | 0.0174993 | − | 0.0589093i | ||||
\(365\) | 14.9518 | + | 2.63640i | 0.782612 | + | 0.137996i | ||||
\(366\) | −10.2628 | − | 18.4586i | −0.536444 | − | 0.964845i | ||||
\(367\) | 7.37637 | + | 8.79081i | 0.385043 | + | 0.458877i | 0.923399 | − | 0.383841i | \(-0.125399\pi\) |
−0.538356 | + | 0.842717i | \(0.680954\pi\) | |||||||
\(368\) | −0.433169 | − | 0.250090i | −0.0225805 | − | 0.0130369i | ||||
\(369\) | 18.7140 | + | 7.50506i | 0.974214 | + | 0.390698i | ||||
\(370\) | 1.47260 | − | 0.850205i | 0.0765568 | − | 0.0442001i | ||||
\(371\) | 17.4374 | + | 8.71083i | 0.905304 | + | 0.452244i | ||||
\(372\) | −13.3507 | − | 2.57731i | −0.692201 | − | 0.133627i | ||||
\(373\) | 0.595553 | + | 0.499728i | 0.0308366 | + | 0.0258749i | 0.658076 | − | 0.752952i | \(-0.271371\pi\) |
−0.627239 | + | 0.778827i | \(0.715815\pi\) | |||||||
\(374\) | 1.96760 | − | 0.716150i | 0.101742 | − | 0.0370312i | ||||
\(375\) | 1.42055 | + | 8.89500i | 0.0733569 | + | 0.459336i | ||||
\(376\) | 2.27736 | − | 0.401561i | 0.117446 | − | 0.0207089i | ||||
\(377\) | 3.60132 | 0.185477 | ||||||||
\(378\) | 13.5097 | − | 2.54697i | 0.694866 | − | 0.131002i | ||||
\(379\) | 5.88815 | 0.302454 | 0.151227 | − | 0.988499i | \(-0.451678\pi\) | ||||
0.151227 | + | 0.988499i | \(0.451678\pi\) | |||||||
\(380\) | −26.4717 | + | 4.66767i | −1.35797 | + | 0.239446i | ||||
\(381\) | 6.47451 | + | 2.47579i | 0.331699 | + | 0.126839i | ||||
\(382\) | −20.8537 | + | 7.59012i | −1.06697 | + | 0.388344i | ||||
\(383\) | 23.3240 | + | 19.5711i | 1.19180 | + | 1.00004i | 0.999826 | + | 0.0186386i | \(0.00593319\pi\) |
0.191973 | + | 0.981400i | \(0.438511\pi\) | |||||||
\(384\) | 0.566005 | + | 1.63696i | 0.0288838 | + | 0.0835358i | ||||
\(385\) | 7.56156 | + | 3.77737i | 0.385373 | + | 0.192512i | ||||
\(386\) | −21.9703 | + | 12.6845i | −1.11826 | + | 0.645626i | ||||
\(387\) | −7.00199 | − | 13.0876i | −0.355931 | − | 0.665278i | ||||
\(388\) | −1.37794 | − | 0.795555i | −0.0699544 | − | 0.0403882i | ||||
\(389\) | −4.97627 | − | 5.93049i | −0.252307 | − | 0.300688i | 0.624993 | − | 0.780630i | \(-0.285102\pi\) |
−0.877300 | + | 0.479943i | \(0.840657\pi\) | |||||||
\(390\) | −2.60612 | − | 0.0421395i | −0.131966 | − | 0.00213382i | ||||
\(391\) | 1.09631 | + | 0.193309i | 0.0554429 | + | 0.00977608i | ||||
\(392\) | 6.43929 | + | 2.74509i | 0.325233 | + | 0.138648i | ||||
\(393\) | −1.93871 | + | 3.23597i | −0.0977951 | + | 0.163233i | ||||
\(394\) | −1.19622 | + | 1.00375i | −0.0602647 | + | 0.0505681i | ||||
\(395\) | −18.9610 | + | 32.8414i | −0.954032 | + | 1.65243i | ||||
\(396\) | 1.88315 | − | 2.10229i | 0.0946319 | − | 0.105644i | ||||
\(397\) | 13.5243 | − | 7.80827i | 0.678766 | − | 0.391886i | −0.120624 | − | 0.992698i | \(-0.538490\pi\) |
0.799390 | + | 0.600813i | \(0.205156\pi\) | |||||||
\(398\) | 15.0043 | + | 5.46112i | 0.752098 | + | 0.273741i | ||||
\(399\) | 24.5201 | + | 26.7315i | 1.22754 | + | 1.33825i | ||||
\(400\) | 5.00340 | + | 4.19835i | 0.250170 | + | 0.209918i | ||||
\(401\) | 0.945466 | + | 2.59765i | 0.0472143 | + | 0.129720i | 0.961059 | − | 0.276344i | \(-0.0891230\pi\) |
−0.913844 | + | 0.406065i | \(0.866901\pi\) | |||||||
\(402\) | 16.7882 | + | 20.6773i | 0.837320 | + | 1.03129i | ||||
\(403\) | −0.604097 | − | 3.42601i | −0.0300922 | − | 0.170661i | ||||
\(404\) | −14.1834 | −0.705648 | ||||||||
\(405\) | −13.5386 | − | 27.3999i | −0.672741 | − | 1.36151i | ||||
\(406\) | −2.45054 | + | 21.3611i | −0.121618 | + | 1.06013i | ||||
\(407\) | −0.463937 | + | 0.0818046i | −0.0229965 | + | 0.00405490i | ||||
\(408\) | −2.42983 | − | 2.99272i | −0.120295 | − | 0.148162i | ||||
\(409\) | −9.95715 | − | 27.3570i | −0.492349 | − | 1.35272i | −0.898525 | − | 0.438923i | \(-0.855360\pi\) |
0.406175 | − | 0.913795i | \(-0.366862\pi\) | |||||||
\(410\) | 14.6704 | − | 17.4835i | 0.724518 | − | 0.863447i | ||||
\(411\) | 0.420656 | − | 0.485167i | 0.0207494 | − | 0.0239315i | ||||
\(412\) | −3.32586 | + | 9.13774i | −0.163854 | + | 0.450184i | ||||
\(413\) | 0.00804541 | − | 0.00349084i | 0.000395889 | − | 0.000171773i | ||||
\(414\) | 1.42590 | − | 0.467360i | 0.0700794 | − | 0.0229695i | ||||
\(415\) | −22.9112 | + | 39.6834i | −1.12467 | + | 1.94798i | ||||
\(416\) | −0.339471 | + | 0.284850i | −0.0166439 | + | 0.0139659i | ||||
\(417\) | 11.4097 | + | 6.83569i | 0.558735 | + | 0.334745i | ||||
\(418\) | 7.33390 | + | 1.29316i | 0.358713 | + | 0.0632507i | ||||
\(419\) | 6.23009 | − | 35.3326i | 0.304360 | − | 1.72611i | −0.322142 | − | 0.946691i | \(-0.604403\pi\) |
0.626502 | − | 0.779420i | \(-0.284486\pi\) | |||||||
\(420\) | 2.02330 | − | 15.4294i | 0.0987270 | − | 0.752879i | ||||
\(421\) | 4.15270 | − | 3.48453i | 0.202390 | − | 0.169825i | −0.535959 | − | 0.844244i | \(-0.680050\pi\) |
0.738349 | + | 0.674418i | \(0.235606\pi\) | |||||||
\(422\) | 22.5267 | + | 13.0058i | 1.09658 | + | 0.633112i | ||||
\(423\) | −3.66117 | + | 5.89276i | −0.178012 | + | 0.286516i | ||||
\(424\) | −3.68366 | − | 6.38028i | −0.178894 | − | 0.309854i | ||||
\(425\) | −13.6601 | − | 4.97186i | −0.662611 | − | 0.241171i | ||||
\(426\) | 19.5834 | − | 6.77127i | 0.948819 | − | 0.328069i | ||||
\(427\) | 22.1888 | + | 23.4184i | 1.07379 | + | 1.13330i | ||||
\(428\) | 3.65110 | + | 10.0313i | 0.176483 | + | 0.484882i | ||||
\(429\) | 0.674482 | + | 0.257915i | 0.0325643 | + | 0.0124523i | ||||
\(430\) | −16.5460 | + | 2.91750i | −0.797917 | + | 0.140694i | ||||
\(431\) | − | 34.4253i | − | 1.65821i | −0.559094 | − | 0.829104i | \(-0.688851\pi\) | ||
0.559094 | − | 0.829104i | \(-0.311149\pi\) | |||||||
\(432\) | −4.79088 | − | 2.01184i | −0.230501 | − | 0.0967947i | ||||
\(433\) | 18.9403i | 0.910213i | 0.890437 | + | 0.455107i | \(0.150399\pi\) | ||||
−0.890437 | + | 0.455107i | \(0.849601\pi\) | |||||||
\(434\) | 20.7323 | − | 1.25193i | 0.995181 | − | 0.0600945i | ||||
\(435\) | 47.2006 | − | 7.53804i | 2.26310 | − | 0.361421i | ||||
\(436\) | −2.87840 | + | 1.04765i | −0.137850 | + | 0.0501734i | ||||
\(437\) | 3.03297 | + | 2.54496i | 0.145087 | + | 0.121742i | ||||
\(438\) | −1.46783 | + | 7.60351i | −0.0701358 | + | 0.363310i | ||||
\(439\) | −1.13447 | + | 3.11693i | −0.0541453 | + | 0.148763i | −0.963817 | − | 0.266565i | \(-0.914111\pi\) |
0.909671 | + | 0.415329i | \(0.136333\pi\) | |||||||
\(440\) | −1.59738 | − | 2.76675i | −0.0761522 | − | 0.131899i | ||||
\(441\) | −19.0234 | + | 8.89443i | −0.905875 | + | 0.423544i | ||||
\(442\) | 0.493144 | − | 0.854151i | 0.0234565 | − | 0.0406278i | ||||
\(443\) | 15.9592 | + | 19.0194i | 0.758245 | + | 0.903641i | 0.997736 | − | 0.0672576i | \(-0.0214249\pi\) |
−0.239491 | + | 0.970899i | \(0.576980\pi\) | |||||||
\(444\) | 0.421452 | + | 0.758021i | 0.0200012 | + | 0.0359741i | ||||
\(445\) | 5.86103 | − | 33.2395i | 0.277839 | − | 1.57571i | ||||
\(446\) | −2.65258 | + | 15.0435i | −0.125603 | + | 0.712331i | ||||
\(447\) | −2.04475 | + | 1.13686i | −0.0967132 | + | 0.0537716i | ||||
\(448\) | −1.45858 | − | 2.20738i | −0.0689114 | − | 0.104289i | ||||
\(449\) | 2.44182 | + | 1.40979i | 0.115237 | + | 0.0665320i | 0.556511 | − | 0.830841i | \(-0.312140\pi\) |
−0.441274 | + | 0.897373i | \(0.645473\pi\) | |||||||
\(450\) | −19.3967 | + | 2.77689i | −0.914368 | + | 0.130904i | ||||
\(451\) | −5.47593 | + | 3.16153i | −0.257851 | + | 0.148871i | ||||
\(452\) | −4.40458 | + | 12.1015i | −0.207174 | + | 0.569206i | ||||
\(453\) | 0.618164 | − | 3.20214i | 0.0290439 | − | 0.150450i | ||||
\(454\) | −15.4498 | + | 18.4124i | −0.725097 | + | 0.864137i | ||||
\(455\) | 3.87215 | − | 0.926450i | 0.181529 | − | 0.0434327i | ||||
\(456\) | −2.16217 | − | 13.5388i | −0.101253 | − | 0.634010i | ||||
\(457\) | −0.972923 | − | 5.51772i | −0.0455114 | − | 0.258108i | 0.953560 | − | 0.301205i | \(-0.0973887\pi\) |
−0.999071 | + | 0.0430967i | \(0.986278\pi\) | |||||||
\(458\) | −12.2125 | −0.570652 | ||||||||
\(459\) | 11.5512 | + | 0.560720i | 0.539163 | + | 0.0261722i | ||||
\(460\) | − | 1.69852i | − | 0.0791937i | ||||||
\(461\) | 5.26328 | + | 29.8496i | 0.245136 | + | 1.39023i | 0.820178 | + | 0.572109i | \(0.193875\pi\) |
−0.575042 | + | 0.818124i | \(0.695014\pi\) | |||||||
\(462\) | −1.98877 | + | 3.82517i | −0.0925260 | + | 0.177963i | ||||
\(463\) | −26.8268 | + | 9.76416i | −1.24675 | + | 0.453779i | −0.879301 | − | 0.476266i | \(-0.841990\pi\) |
−0.367446 | + | 0.930045i | \(0.619768\pi\) | |||||||
\(464\) | 5.22373 | − | 6.22540i | 0.242506 | − | 0.289007i | ||||
\(465\) | −15.0887 | − | 43.6384i | −0.699721 | − | 2.02368i | ||||
\(466\) | 3.60671 | + | 1.31273i | 0.167077 | + | 0.0608112i | ||||
\(467\) | 1.35485 | + | 2.34667i | 0.0626951 | + | 0.108591i | 0.895669 | − | 0.444721i | \(-0.146697\pi\) |
−0.832974 | + | 0.553312i | \(0.813364\pi\) | |||||||
\(468\) | 0.0429814 | − | 1.32875i | 0.00198682 | − | 0.0614214i | ||||
\(469\) | −32.6861 | − | 24.2256i | −1.50930 | − | 1.11863i | ||||
\(470\) | 5.04767 | + | 6.01558i | 0.232832 | + | 0.277478i | ||||
\(471\) | −0.306959 | + | 18.9839i | −0.0141439 | + | 0.874733i | ||||
\(472\) | −0.00326442 | 0.000575606i | −0.000150257 | 2.64944e-5i | ||||||
\(473\) | 4.58401 | + | 0.808285i | 0.210773 | + | 0.0371650i | ||||
\(474\) | −16.5924 | − | 9.94074i | −0.762116 | − | 0.456593i | ||||
\(475\) | −33.2327 | − | 39.6052i | −1.52482 | − | 1.81721i | ||||
\(476\) | 4.73080 | + | 3.50628i | 0.216836 | + | 0.160710i | ||||
\(477\) | 21.6307 | + | 4.53966i | 0.990402 | + | 0.207857i | ||||
\(478\) | −8.55593 | − | 14.8193i | −0.391339 | − | 0.677820i | ||||
\(479\) | −7.83328 | − | 2.85108i | −0.357912 | − | 0.130269i | 0.156805 | − | 0.987630i | \(-0.449881\pi\) |
−0.514717 | + | 0.857360i | \(0.672103\pi\) | |||||||
\(480\) | −3.85304 | + | 4.44393i | −0.175866 | + | 0.202837i | ||||
\(481\) | −0.142635 | + | 0.169986i | −0.00650361 | + | 0.00775070i | ||||
\(482\) | −17.0916 | + | 6.22082i | −0.778500 | + | 0.283351i | ||||
\(483\) | −1.93252 | + | 1.23254i | −0.0879328 | + | 0.0560826i | ||||
\(484\) | −1.75643 | − | 9.96123i | −0.0798379 | − | 0.452783i | ||||
\(485\) | − | 5.40310i | − | 0.245342i | ||||||
\(486\) | 14.0853 | − | 6.67862i | 0.638923 | − | 0.302948i | ||||
\(487\) | 8.68364 | 0.393493 | 0.196747 | − | 0.980454i | \(-0.436962\pi\) | ||||
0.196747 | + | 0.980454i | \(0.436962\pi\) | |||||||
\(488\) | −2.11738 | − | 12.0082i | −0.0958491 | − | 0.543587i | ||||
\(489\) | 25.5314 | − | 20.7293i | 1.15457 | − | 0.937412i | ||||
\(490\) | 2.86037 | + | 23.5979i | 0.129218 | + | 1.06604i | ||||
\(491\) | 20.0310 | − | 23.8720i | 0.903988 | − | 1.07733i | −0.0926747 | − | 0.995696i | \(-0.529542\pi\) |
0.996662 | − | 0.0816341i | \(-0.0260139\pi\) | |||||||
\(492\) | 8.79541 | + | 7.62591i | 0.396528 | + | 0.343802i | ||||
\(493\) | −6.18615 | + | 16.9963i | −0.278610 | + | 0.765476i | ||||
\(494\) | 3.03785 | − | 1.75390i | 0.136679 | − | 0.0789118i | ||||
\(495\) | 9.37994 | + | 1.96858i | 0.421597 | + | 0.0884812i | ||||
\(496\) | −6.79859 | − | 3.92517i | −0.305266 | − | 0.176245i | ||||
\(497\) | −26.4075 | + | 17.4494i | −1.18454 | + | 0.782712i | ||||
\(498\) | −20.0492 | − | 12.0117i | −0.898425 | − | 0.538258i | ||||
\(499\) | −2.06289 | + | 11.6992i | −0.0923476 | + | 0.523729i | 0.903180 | + | 0.429261i | \(0.141226\pi\) |
−0.995528 | + | 0.0944679i | \(0.969885\pi\) | |||||||
\(500\) | −0.903076 | + | 5.12160i | −0.0403868 | + | 0.229045i | ||||
\(501\) | −29.8791 | − | 0.483128i | −1.33490 | − | 0.0215846i | ||||
\(502\) | 6.29765 | + | 7.50525i | 0.281078 | + | 0.334976i | ||||
\(503\) | 5.79141 | − | 10.0310i | 0.258226 | − | 0.447261i | −0.707541 | − | 0.706673i | \(-0.750195\pi\) |
0.965767 | + | 0.259412i | \(0.0835287\pi\) | |||||||
\(504\) | 7.85216 | + | 1.15910i | 0.349763 | + | 0.0516303i | ||||
\(505\) | −24.0819 | − | 41.7112i | −1.07163 | − | 1.85612i | ||||
\(506\) | −0.160944 | + | 0.442190i | −0.00715484 | + | 0.0196577i | ||||
\(507\) | −20.9590 | + | 7.24691i | −0.930823 | + | 0.321847i | ||||
\(508\) | 3.06574 | + | 2.57246i | 0.136020 | + | 0.114134i | ||||
\(509\) | 19.7703 | − | 7.19579i | 0.876301 | − | 0.318948i | 0.135585 | − | 0.990766i | \(-0.456709\pi\) |
0.740716 | + | 0.671818i | \(0.234486\pi\) | |||||||
\(510\) | 4.67553 | − | 12.2271i | 0.207036 | − | 0.541427i | ||||
\(511\) | −0.713002 | − | 11.8075i | −0.0315413 | − | 0.522333i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 34.5815 | + | 22.2684i | 1.52681 | + | 0.983172i | ||||
\(514\) | − | 14.4793i | − | 0.638654i | ||||||
\(515\) | −32.5197 | + | 5.73410i | −1.43299 | + | 0.252675i | ||||
\(516\) | −1.35145 | − | 8.46233i | −0.0594944 | − | 0.372533i | ||||
\(517\) | −0.744096 | − | 2.04439i | −0.0327253 | − | 0.0899120i | ||||
\(518\) | −0.911209 | − | 0.961704i | −0.0400362 | − | 0.0422548i | ||||
\(519\) | −3.56841 | + | 18.4847i | −0.156636 | + | 0.811388i | ||||
\(520\) | −1.41409 | − | 0.514686i | −0.0620119 | − | 0.0225705i | ||||
\(521\) | −3.72023 | − | 6.44363i | −0.162986 | − | 0.282301i | 0.772952 | − | 0.634464i | \(-0.218779\pi\) |
−0.935938 | + | 0.352164i | \(0.885446\pi\) | |||||||
\(522\) | 3.45509 | + | 24.1340i | 0.151225 | + | 1.05632i | ||||
\(523\) | −0.241039 | − | 0.139164i | −0.0105399 | − | 0.00608521i | 0.494721 | − | 0.869052i | \(-0.335270\pi\) |
−0.505261 | + | 0.862967i | \(0.668604\pi\) | |||||||
\(524\) | −1.66839 | + | 1.39995i | −0.0728840 | + | 0.0611569i | ||||
\(525\) | 27.6468 | − | 11.4682i | 1.20660 | − | 0.500515i | ||||
\(526\) | 2.08337 | − | 11.8154i | 0.0908393 | − | 0.515175i | ||||
\(527\) | 17.2066 | + | 3.03399i | 0.749532 | + | 0.132163i | ||||
\(528\) | 1.42418 | − | 0.791833i | 0.0619797 | − | 0.0344601i | ||||
\(529\) | 17.4274 | − | 14.6233i | 0.757712 | − | 0.635796i | ||||
\(530\) | 12.5090 | − | 21.6662i | 0.543355 | − | 0.941119i | ||||
\(531\) | 0.00782049 | − | 0.00614248i | 0.000339380 | − | 0.000266561i | ||||
\(532\) | 8.33608 | + | 19.2123i | 0.361415 | + | 0.832960i | ||||
\(533\) | −1.01866 | + | 2.79876i | −0.0441232 | + | 0.121228i | ||||
\(534\) | 16.9035 | + | 3.26317i | 0.731486 | + | 0.141211i | ||||
\(535\) | −23.3014 | + | 27.7695i | −1.00741 | + | 1.20058i | ||||
\(536\) | 5.25939 | + | 14.4501i | 0.227171 | + | 0.624147i | ||||
\(537\) | 14.6894 | − | 2.34594i | 0.633896 | − | 0.101235i | ||||
\(538\) | 3.99112 | − | 0.703743i | 0.172070 | − | 0.0303405i | ||||
\(539\) | 1.49137 | − | 6.41449i | 0.0642378 | − | 0.276292i | ||||
\(540\) | −2.21791 | − | 17.5052i | −0.0954437 | − | 0.753302i | ||||
\(541\) | −34.8502 | −1.49833 | −0.749163 | − | 0.662385i | \(-0.769544\pi\) | ||||
−0.749163 | + | 0.662385i | \(0.769544\pi\) | |||||||
\(542\) | 3.55849 | + | 20.1812i | 0.152850 | + | 0.866857i | ||||
\(543\) | 4.96447 | − | 12.9827i | 0.213046 | − | 0.557142i | ||||
\(544\) | −0.761215 | − | 2.09142i | −0.0326368 | − | 0.0896690i | ||||
\(545\) | −7.96823 | − | 6.68614i | −0.341322 | − | 0.286403i | ||||
\(546\) | 0.440549 | + | 1.98239i | 0.0188538 | + | 0.0848387i | ||||
\(547\) | 10.6978 | + | 3.89368i | 0.457405 | + | 0.166482i | 0.560438 | − | 0.828196i | \(-0.310633\pi\) |
−0.103034 | + | 0.994678i | \(0.532855\pi\) | |||||||
\(548\) | 0.321068 | − | 0.185369i | 0.0137153 | − | 0.00791855i | ||||
\(549\) | 31.0717 | + | 19.3049i | 1.32611 | + | 0.823912i | ||||
\(550\) | 3.07240 | − | 5.32155i | 0.131008 | − | 0.226912i | ||||
\(551\) | −49.2781 | + | 41.3493i | −2.09932 | + | 1.76154i | ||||
\(552\) | 0.866225 | + | 0.0140064i | 0.0368690 | + | 0.000596151i | ||||
\(553\) | 28.3227 | + | 8.41343i | 1.20441 | + | 0.357776i | ||||
\(554\) | −16.9809 | − | 2.99419i | −0.721449 | − | 0.127211i | ||||
\(555\) | −1.51364 | + | 2.52647i | −0.0642506 | + | 0.107243i | ||||
\(556\) | 4.93606 | + | 5.88256i | 0.209335 | + | 0.249476i | ||||
\(557\) | −24.9918 | − | 14.4290i | −1.05894 | − | 0.611378i | −0.133800 | − | 0.991008i | \(-0.542718\pi\) |
−0.925138 | + | 0.379630i | \(0.876051\pi\) | |||||||
\(558\) | 22.3796 | − | 7.33521i | 0.947402 | − | 0.310524i | ||||
\(559\) | 1.89879 | − | 1.09627i | 0.0803102 | − | 0.0463671i | ||||
\(560\) | 4.01507 | − | 8.03739i | 0.169668 | − | 0.339642i | ||||
\(561\) | −2.37582 | + | 2.74017i | −0.100307 | + | 0.115690i | ||||
\(562\) | 16.6625 | + | 13.9815i | 0.702866 | + | 0.589775i | ||||
\(563\) | 16.8581 | − | 6.13586i | 0.710486 | − | 0.258596i | 0.0386046 | − | 0.999255i | \(-0.487709\pi\) |
0.671881 | + | 0.740659i | \(0.265486\pi\) | |||||||
\(564\) | −3.10951 | + | 2.52465i | −0.130934 | + | 0.106307i | ||||
\(565\) | −43.0672 | + | 7.59392i | −1.81185 | + | 0.319478i | ||||
\(566\) | −15.8977 | −0.668232 | ||||||||
\(567\) | −18.3074 | + | 15.2262i | −0.768840 | + | 0.639442i | ||||
\(568\) | 11.9633 | 0.501968 | ||||||||
\(569\) | 39.2969 | − | 6.92910i | 1.64741 | − | 0.290483i | 0.728529 | − | 0.685015i | \(-0.240205\pi\) |
0.918882 | + | 0.394532i | \(0.129093\pi\) | |||||||
\(570\) | 36.1443 | − | 29.3461i | 1.51392 | − | 1.22917i | ||||
\(571\) | 1.84609 | − | 0.671920i | 0.0772563 | − | 0.0281190i | −0.303103 | − | 0.952958i | \(-0.598023\pi\) |
0.380359 | + | 0.924839i | \(0.375800\pi\) | |||||||
\(572\) | 0.319373 | + | 0.267986i | 0.0133537 | + | 0.0112051i | ||||
\(573\) | 25.1801 | − | 29.0417i | 1.05191 | − | 1.21323i | ||||
\(574\) | −15.9076 | − | 7.94660i | −0.663968 | − | 0.331685i | ||||
\(575\) | 2.82924 | − | 1.63346i | 0.117987 | − | 0.0681200i | ||||
\(576\) | −2.23459 | − | 2.00165i | −0.0931078 | − | 0.0834023i | ||||
\(577\) | 21.6860 | + | 12.5204i | 0.902799 | + | 0.521231i | 0.878107 | − | 0.478464i | \(-0.158806\pi\) |
0.0246916 | + | 0.999695i | \(0.492140\pi\) | |||||||
\(578\) | −7.74334 | − | 9.22816i | −0.322081 | − | 0.383841i | ||||
\(579\) | 22.5826 | − | 37.6934i | 0.938501 | − | 1.56649i | ||||
\(580\) | 27.1774 | + | 4.79210i | 1.12848 | + | 0.198981i | ||||
\(581\) | 34.2233 | + | 10.1662i | 1.41982 | + | 0.421766i | ||||
\(582\) | 2.75552 | + | 0.0445553i | 0.114220 | + | 0.00184688i | ||||
\(583\) | −5.30957 | + | 4.45526i | −0.219900 | + | 0.184518i | ||||
\(584\) | −2.23547 | + | 3.87195i | −0.0925044 | + | 0.160222i | ||||
\(585\) | 3.98063 | − | 2.12968i | 0.164579 | − | 0.0880514i | ||||
\(586\) | 10.0072 | − | 5.77766i | 0.413393 | − | 0.238673i | ||||
\(587\) | 16.5825 | + | 6.03552i | 0.684431 | + | 0.249113i | 0.660749 | − | 0.750607i | \(-0.270239\pi\) |
0.0236824 | + | 0.999720i | \(0.492461\pi\) | |||||||
\(588\) | −12.0583 | + | 1.26417i | −0.497275 | + | 0.0521334i | ||||
\(589\) | 47.6025 | + | 39.9432i | 1.96143 | + | 1.64583i | ||||
\(590\) | −0.00384990 | − | 0.0105775i | −0.000158498 | − | 0.000435469i | ||||
\(591\) | 0.966029 | − | 2.52629i | 0.0397371 | − | 0.103918i | ||||
\(592\) | 0.0869524 | + | 0.493131i | 0.00357372 | + | 0.0202676i | ||||
\(593\) | 39.1523 | 1.60779 | 0.803897 | − | 0.594769i | \(-0.202756\pi\) | ||||
0.803897 | + | 0.594769i | \(0.202756\pi\) | |||||||
\(594\) | −1.08131 | + | 4.76744i | −0.0443665 | + | 0.195610i | ||||
\(595\) | −2.27902 | + | 19.8659i | −0.0934305 | + | 0.814423i | ||||
\(596\) | −1.33021 | + | 0.234552i | −0.0544876 | + | 0.00960763i | ||||
\(597\) | −27.3100 | + | 4.36147i | −1.11772 | + | 0.178503i | ||||
\(598\) | 0.0758101 | + | 0.208286i | 0.00310010 | + | 0.00851747i | ||||
\(599\) | −18.2649 | + | 21.7672i | −0.746283 | + | 0.889386i | −0.996898 | − | 0.0787012i | \(-0.974923\pi\) |
0.250615 | + | 0.968087i | \(0.419367\pi\) | |||||||
\(600\) | −11.1078 | − | 2.14432i | −0.453473 | − | 0.0875415i | ||||
\(601\) | 14.3707 | − | 39.4833i | 0.586195 | − | 1.61056i | −0.191205 | − | 0.981550i | \(-0.561239\pi\) |
0.777400 | − | 0.629007i | \(-0.216538\pi\) | |||||||
\(602\) | 5.21042 | + | 12.0086i | 0.212361 | + | 0.489432i | ||||
\(603\) | −42.8174 | − | 17.1715i | −1.74366 | − | 0.699276i | ||||
\(604\) | 0.941446 | − | 1.63063i | 0.0383069 | − | 0.0663495i | ||||
\(605\) | 26.3123 | − | 22.0786i | 1.06975 | − | 0.897623i | ||||
\(606\) | 21.4708 | − | 11.9376i | 0.872193 | − | 0.484931i | ||||
\(607\) | −34.5554 | − | 6.09305i | −1.40256 | − | 0.247309i | −0.579365 | − | 0.815068i | \(-0.696699\pi\) |
−0.823195 | + | 0.567759i | \(0.807810\pi\) | |||||||
\(608\) | 1.37454 | − | 7.79540i | 0.0557449 | − | 0.316145i | ||||
\(609\) | −14.2691 | − | 34.3990i | −0.578215 | − | 1.39392i | ||||
\(610\) | 31.7194 | − | 26.6157i | 1.28428 | − | 1.07764i | ||||
\(611\) | −0.887483 | − | 0.512388i | −0.0359037 | − | 0.0207290i | ||||
\(612\) | 6.19715 | + | 2.48530i | 0.250505 | + | 0.100462i | ||||
\(613\) | 10.9144 | + | 18.9043i | 0.440828 | + | 0.763536i | 0.997751 | − | 0.0670280i | \(-0.0213517\pi\) |
−0.556924 | + | 0.830564i | \(0.688018\pi\) | |||||||
\(614\) | 9.96678 | + | 3.62761i | 0.402226 | + | 0.146398i | ||||
\(615\) | −7.49293 | + | 38.8140i | −0.302144 | + | 1.56513i | ||||
\(616\) | −1.80687 | + | 1.71200i | −0.0728008 | + | 0.0689783i | ||||
\(617\) | 1.42517 | + | 3.91563i | 0.0573753 | + | 0.157637i | 0.965069 | − | 0.261996i | \(-0.0843808\pi\) |
−0.907694 | + | 0.419634i | \(0.862159\pi\) | |||||||
\(618\) | −2.65617 | − | 16.6320i | −0.106847 | − | 0.669037i | ||||
\(619\) | −24.0454 | + | 4.23985i | −0.966465 | + | 0.170414i | −0.634538 | − | 0.772891i | \(-0.718810\pi\) |
−0.331926 | + | 0.943305i | \(0.607699\pi\) | |||||||
\(620\) | − | 26.6582i | − | 1.07062i | ||||||
\(621\) | −1.76518 | + | 1.90762i | −0.0708343 | + | 0.0765502i | ||||
\(622\) | − | 16.7070i | − | 0.669889i | ||||||
\(623\) | −26.2494 | + | 1.58509i | −1.05166 | + | 0.0635051i | ||||
\(624\) | 0.274145 | − | 0.716926i | 0.0109746 | − | 0.0287000i | ||||
\(625\) | 14.0927 | − | 5.12933i | 0.563709 | − | 0.205173i | ||||
\(626\) | −19.0492 | − | 15.9842i | −0.761359 | − | 0.638856i | ||||
\(627\) | −12.1905 | + | 4.21506i | −0.486842 | + | 0.168333i | ||||
\(628\) | −3.74916 | + | 10.3007i | −0.149608 | + | 0.411044i | ||||
\(629\) | −0.557233 | − | 0.965156i | −0.0222183 | − | 0.0384833i | ||||
\(630\) | 9.92347 | + | 25.0601i | 0.395360 | + | 0.998418i | ||||
\(631\) | −15.9614 | + | 27.6460i | −0.635414 | + | 1.10057i | 0.351013 | + | 0.936370i | \(0.385837\pi\) |
−0.986427 | + | 0.164199i | \(0.947496\pi\) | |||||||
\(632\) | −7.17821 | − | 8.55466i | −0.285534 | − | 0.340286i | ||||
\(633\) | −45.0475 | − | 0.728393i | −1.79048 | − | 0.0289510i | ||||
\(634\) | −3.05026 | + | 17.2989i | −0.121141 | + | 0.687026i | ||||
\(635\) | −2.35990 | + | 13.3837i | −0.0936498 | + | 0.531114i | ||||
\(636\) | 10.9464 | + | 6.55811i | 0.434052 | + | 0.260046i | ||||
\(637\) | −1.40401 | − | 2.76611i | −0.0556290 | − | 0.109597i | ||||
\(638\) | −6.62125 | − | 3.82278i | −0.262138 | − | 0.151345i | ||||
\(639\) | −23.9463 | + | 26.7330i | −0.947302 | + | 1.05754i | ||||
\(640\) | −2.94085 | + | 1.69790i | −0.116247 | + | 0.0671155i | ||||
\(641\) | −5.12063 | + | 14.0688i | −0.202253 | + | 0.555685i | −0.998804 | − | 0.0488858i | \(-0.984433\pi\) |
0.796552 | + | 0.604570i | \(0.206655\pi\) | |||||||
\(642\) | −13.9700 | − | 12.1125i | −0.551353 | − | 0.478041i | ||||
\(643\) | 2.88719 | − | 3.44082i | 0.113860 | − | 0.135693i | −0.706104 | − | 0.708108i | \(-0.749549\pi\) |
0.819964 | + | 0.572415i | \(0.193993\pi\) | |||||||
\(644\) | −1.28703 | + | 0.307934i | −0.0507160 | + | 0.0121343i | ||||
\(645\) | 22.5918 | − | 18.3426i | 0.889552 | − | 0.722240i | ||||
\(646\) | 3.05924 | + | 17.3498i | 0.120364 | + | 0.682619i | ||||
\(647\) | 30.2456 | 1.18908 | 0.594539 | − | 0.804067i | \(-0.297334\pi\) | ||||
0.594539 | + | 0.804067i | \(0.297334\pi\) | |||||||
\(648\) | 8.94574 | − | 0.986759i | 0.351422 | − | 0.0387636i | ||||
\(649\) | 0.00311854i | 0.000122413i | ||||||||
\(650\) | −0.502609 | − | 2.85044i | −0.0197139 | − | 0.111803i | ||||
\(651\) | −30.3309 | + | 19.3447i | −1.18876 | + | 0.758180i | ||||
\(652\) | 17.8423 | − | 6.49405i | 0.698757 | − | 0.254327i | ||||
\(653\) | 16.6977 | − | 19.8996i | 0.653433 | − | 0.778731i | −0.332995 | − | 0.942929i | \(-0.608059\pi\) |
0.986427 | + | 0.164198i | \(0.0525036\pi\) | |||||||
\(654\) | 3.47557 | − | 4.00858i | 0.135906 | − | 0.156748i | ||||
\(655\) | −6.94980 | − | 2.52952i | −0.271551 | − | 0.0988365i | ||||
\(656\) | 3.36048 | + | 5.82052i | 0.131205 | + | 0.227253i | ||||
\(657\) | −4.17757 | − | 12.7457i | −0.162982 | − | 0.497255i | ||||
\(658\) | 3.64311 | − | 4.91541i | 0.142023 | − | 0.191623i | ||||
\(659\) | 19.5219 | + | 23.2653i | 0.760465 | + | 0.906286i | 0.997877 | − | 0.0651225i | \(-0.0207438\pi\) |
−0.237413 | + | 0.971409i | \(0.576299\pi\) | |||||||
\(660\) | 4.74679 | + | 2.84386i | 0.184769 | + | 0.110697i | ||||
\(661\) | 14.4693 | + | 2.55133i | 0.562790 | + | 0.0992351i | 0.447804 | − | 0.894132i | \(-0.352206\pi\) |
0.114987 | + | 0.993367i | \(0.463318\pi\) | |||||||
\(662\) | 7.13901 | + | 1.25880i | 0.277466 | + | 0.0489247i | ||||
\(663\) | −0.0276187 | + | 1.70808i | −0.00107262 | + | 0.0663363i | ||||
\(664\) | −8.67367 | − | 10.3369i | −0.336604 | − | 0.401148i | ||||
\(665\) | −42.3468 | + | 57.1358i | −1.64214 | + | 2.21563i | ||||
\(666\) | −1.27599 | − | 0.792776i | −0.0494438 | − | 0.0307194i | ||||
\(667\) | −2.03240 | − | 3.52023i | −0.0786950 | − | 0.136304i | ||||
\(668\) | −16.2125 | − | 5.90085i | −0.627279 | − | 0.228311i | ||||
\(669\) | −8.64606 | − | 25.0055i | −0.334276 | − | 0.966769i | ||||
\(670\) | −33.5656 | + | 40.0019i | −1.29675 | + | 1.54541i | ||||
\(671\) | −10.7798 | + | 3.92352i | −0.416149 | + | 0.151466i | ||||
\(672\) | 4.06588 | + | 2.11392i | 0.156845 | + | 0.0815463i | ||||
\(673\) | 1.42459 | + | 8.07926i | 0.0549140 | + | 0.311433i | 0.999876 | − | 0.0157474i | \(-0.00501276\pi\) |
−0.944962 | + | 0.327180i | \(0.893902\pi\) | |||||||
\(674\) | − | 10.9854i | − | 0.423140i | ||||||
\(675\) | 27.0256 | − | 20.5291i | 1.04022 | − | 0.790165i | ||||
\(676\) | −12.8036 | −0.492447 | ||||||||
\(677\) | −1.87976 | − | 10.6606i | −0.0722450 | − | 0.409722i | −0.999387 | − | 0.0350113i | \(-0.988853\pi\) |
0.927142 | − | 0.374710i | \(-0.122258\pi\) | |||||||
\(678\) | −3.51767 | − | 22.0265i | −0.135095 | − | 0.845921i | ||||
\(679\) | −4.09413 | + | 0.979561i | −0.157118 | + | 0.0375921i | ||||
\(680\) | 4.85809 | − | 5.78965i | 0.186299 | − | 0.222023i | ||||
\(681\) | 7.89104 | − | 40.8763i | 0.302385 | − | 1.56638i | ||||
\(682\) | −2.52602 | + | 6.94017i | −0.0967262 | + | 0.265753i | ||||
\(683\) | 20.9310 | − | 12.0845i | 0.800904 | − | 0.462402i | −0.0428831 | − | 0.999080i | \(-0.513654\pi\) |
0.843787 | + | 0.536678i | \(0.180321\pi\) | |||||||
\(684\) | 14.6682 | + | 18.6752i | 0.560851 | + | 0.714065i | ||||
\(685\) | 1.09028 | + | 0.629475i | 0.0416576 | + | 0.0240510i | ||||
\(686\) | 17.3624 | − | 6.44562i | 0.662901 | − | 0.246095i | ||||
\(687\) | 18.4873 | − | 10.2788i | 0.705336 | − | 0.392160i | ||||
\(688\) | 0.859148 | − | 4.87247i | 0.0327547 | − | 0.185761i | ||||
\(689\) | −0.566928 | + | 3.21521i | −0.0215982 | + | 0.122490i | ||||
\(690\) | 1.42957 | + | 2.57122i | 0.0544230 | + | 0.0978847i | ||||
\(691\) | −12.6341 | − | 15.0567i | −0.480622 | − | 0.572783i | 0.470184 | − | 0.882568i | \(-0.344187\pi\) |
−0.950807 | + | 0.309785i | \(0.899743\pi\) | |||||||
\(692\) | −5.43459 | + | 9.41298i | −0.206592 | + | 0.357828i | ||||
\(693\) | −0.208881 | − | 7.46443i | −0.00793474 | − | 0.283550i | ||||
\(694\) | 2.58572 | + | 4.47860i | 0.0981527 | + | 0.170005i | ||||
\(695\) | −8.91881 | + | 24.5042i | −0.338310 | + | 0.929498i | ||||
\(696\) | −2.66803 | + | 13.8207i | −0.101132 | + | 0.523870i | ||||
\(697\) | −11.4588 | − | 9.61511i | −0.434035 | − | 0.364198i | ||||
\(698\) | −11.6479 | + | 4.23949i | −0.440879 | + | 0.160467i | ||||
\(699\) | −6.56473 | + | 1.04840i | −0.248301 | + | 0.0396542i | ||||
\(700\) | 17.2493 | − | 1.04161i | 0.651960 | − | 0.0393690i | ||||
\(701\) | − | 18.0132i | − | 0.680350i | −0.940362 | − | 0.340175i | \(-0.889514\pi\) | ||
0.940362 | − | 0.340175i | \(-0.110486\pi\) | |||||||
\(702\) | 1.05329 | + | 2.04764i | 0.0397538 | + | 0.0772832i | ||||
\(703\) | − | 3.96368i | − | 0.149493i | ||||||
\(704\) | 0.926505 | − | 0.163368i | 0.0349190 | − | 0.00615716i | ||||
\(705\) | −12.7043 | − | 4.85799i | −0.478471 | − | 0.182962i | ||||
\(706\) | −4.59474 | − | 12.6239i | −0.172925 | − | 0.475109i | ||||
\(707\) | −27.2401 | + | 25.8099i | −1.02447 | + | 0.970680i | ||||
\(708\) | 0.00542617 | − | 0.00187618i | 0.000203928 | − | 7.05113e-5i | ||||
\(709\) | 4.09818 | + | 1.49162i | 0.153910 | + | 0.0560188i | 0.417827 | − | 0.908527i | \(-0.362792\pi\) |
−0.263916 | + | 0.964546i | \(0.585014\pi\) | |||||||
\(710\) | 20.3125 | + | 35.1822i | 0.762313 | + | 1.32036i | ||||
\(711\) | 33.4844 | + | 1.08313i | 1.25576 | + | 0.0406206i | ||||
\(712\) | 8.60779 | + | 4.96971i | 0.322591 | + | 0.186248i | ||||
\(713\) | −3.00794 | + | 2.52396i | −0.112648 | + | 0.0945231i | ||||
\(714\) | −10.1126 | − | 1.32609i | −0.378455 | − | 0.0496278i | ||||
\(715\) | −0.245843 | + | 1.39424i | −0.00919399 | + | 0.0521417i | ||||
\(716\) | 8.45795 | + | 1.49136i | 0.316088 | + | 0.0557349i | ||||
\(717\) | 25.4249 | + | 15.2324i | 0.949509 | + | 0.568863i | ||||
\(718\) | 11.0632 | − | 9.28315i | 0.412876 | − | 0.346444i | ||||
\(719\) | 16.1456 | − | 27.9650i | 0.602130 | − | 1.04292i | −0.390368 | − | 0.920659i | \(-0.627652\pi\) |
0.992498 | − | 0.122260i | \(-0.0390143\pi\) | |||||||
\(720\) | 2.09246 | − | 9.97020i | 0.0779814 | − | 0.371568i | ||||
\(721\) | 10.2406 | + | 23.6018i | 0.381382 | + | 0.878978i | ||||
\(722\) | −14.9318 | + | 41.0248i | −0.555704 | + | 1.52678i | ||||
\(723\) | 20.6375 | − | 23.8024i | 0.767516 | − | 0.885222i | ||||
\(724\) | 5.15831 | − | 6.14743i | 0.191707 | − | 0.228468i | ||||
\(725\) | 18.1542 | + | 49.8782i | 0.674229 | + | 1.85243i | ||||
\(726\) | 11.0429 | + | 13.6010i | 0.409840 | + | 0.504782i | ||||
\(727\) | 7.60133 | − | 1.34032i | 0.281918 | − | 0.0497097i | −0.0309014 | − | 0.999522i | \(-0.509838\pi\) |
0.312819 | + | 0.949813i | \(0.398727\pi\) | |||||||
\(728\) | −0.133628 | + | 1.16482i | −0.00495258 | + | 0.0431710i | ||||
\(729\) | −15.7013 | + | 21.9652i | −0.581529 | + | 0.813526i | ||||
\(730\) | −15.1824 | −0.561927 | ||||||||
\(731\) | 1.91216 | + | 10.8444i | 0.0707238 | + | 0.401094i | ||||
\(732\) | 13.3122 | + | 16.3960i | 0.492032 | + | 0.606014i | ||||
\(733\) | −2.88073 | − | 7.91475i | −0.106402 | − | 0.292338i | 0.875054 | − | 0.484026i | \(-0.160826\pi\) |
−0.981456 | + | 0.191688i | \(0.938604\pi\) | |||||||
\(734\) | −8.79081 | − | 7.37637i | −0.324475 | − | 0.272267i | ||||
\(735\) | −24.1915 | − | 33.3152i | −0.892316 | − | 1.22885i | ||||
\(736\) | 0.470016 | + | 0.171072i | 0.0173250 | + | 0.00630579i | ||||
\(737\) | 12.5288 | − | 7.23353i | 0.461506 | − | 0.266450i | ||||
\(738\) | −19.7330 | − | 4.14138i | −0.726381 | − | 0.152446i | ||||
\(739\) | −9.38414 | + | 16.2538i | −0.345201 | + | 0.597906i | −0.985390 | − | 0.170311i | \(-0.945523\pi\) |
0.640189 | + | 0.768217i | \(0.278856\pi\) | |||||||
\(740\) | −1.30259 | + | 1.09300i | −0.0478842 | + | 0.0401796i | ||||
\(741\) | −3.12252 | + | 5.21190i | −0.114709 | + | 0.191464i | ||||
\(742\) | −18.6851 | − | 5.55052i | −0.685951 | − | 0.203766i | ||||
\(743\) | −23.6224 | − | 4.16527i | −0.866623 | − | 0.152809i | −0.277375 | − | 0.960762i | \(-0.589465\pi\) |
−0.589247 | + | 0.807953i | \(0.700576\pi\) | |||||||
\(744\) | 13.5954 | + | 0.219830i | 0.498432 | + | 0.00805936i | ||||
\(745\) | −2.94835 | − | 3.51371i | −0.108019 | − | 0.128732i | ||||
\(746\) | −0.673282 | − | 0.388719i | −0.0246506 | − | 0.0142320i | ||||
\(747\) | 40.4603 | + | 1.30878i | 1.48037 | + | 0.0478859i | ||||
\(748\) | −1.81335 | + | 1.04694i | −0.0663028 | + | 0.0382799i | ||||
\(749\) | 25.2665 | + | 12.6218i | 0.923217 | + | 0.461192i | ||||
\(750\) | −2.94357 | − | 8.51319i | −0.107484 | − | 0.310858i | ||||
\(751\) | −20.7273 | − | 17.3923i | −0.756349 | − | 0.634653i | 0.180824 | − | 0.983515i | \(-0.442123\pi\) |
−0.937174 | + | 0.348863i | \(0.886568\pi\) | |||||||
\(752\) | −2.17304 | + | 0.790920i | −0.0792425 | + | 0.0288419i | ||||
\(753\) | −15.8503 | − | 6.06099i | −0.577617 | − | 0.220875i | ||||
\(754\) | −3.54661 | + | 0.625362i | −0.129160 | + | 0.0227743i | ||||
\(755\) | 6.39393 | 0.232699 | ||||||||
\(756\) | −12.8622 | + | 4.85421i | −0.467794 | + | 0.176546i | ||||
\(757\) | −43.5505 | −1.58287 | −0.791435 | − | 0.611253i | \(-0.790666\pi\) | ||||
−0.791435 | + | 0.611253i | \(0.790666\pi\) | |||||||
\(758\) | −5.79870 | + | 1.02247i | −0.210618 | + | 0.0371377i | ||||
\(759\) | −0.128536 | − | 0.804850i | −0.00466557 | − | 0.0292142i | ||||
\(760\) | 25.2590 | − | 9.19351i | 0.916239 | − | 0.333484i | ||||
\(761\) | −20.7716 | − | 17.4294i | −0.752968 | − | 0.631815i | 0.183318 | − | 0.983054i | \(-0.441316\pi\) |
−0.936286 | + | 0.351238i | \(0.885761\pi\) | |||||||
\(762\) | −6.80607 | − | 1.31389i | −0.246558 | − | 0.0475972i | ||||
\(763\) | −3.62173 | + | 7.25000i | −0.131115 | + | 0.262468i | ||||
\(764\) | 19.2189 | − | 11.0960i | 0.695314 | − | 0.401440i | ||||
\(765\) | 3.21325 | + | 22.4447i | 0.116175 | + | 0.811490i | ||||
\(766\) | −26.3681 | − | 15.2236i | −0.952719 | − | 0.550053i | ||||
\(767\) | 0.000944215 | 0.00112527i | 3.40936e−5 | 4.06312e-5i | ||||||
\(768\) | −0.841661 | − | 1.51381i | −0.0303708 | − | 0.0546247i | ||||
\(769\) | 14.7658 | + | 2.60362i | 0.532470 | + | 0.0938889i | 0.433417 | − | 0.901193i | \(-0.357308\pi\) |
0.0990528 | + | 0.995082i | \(0.468419\pi |