Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.10 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.10 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.58439 | + | 0.424536i | −1.12033 | + | 0.300192i | −0.771018 | − | 0.636813i | \(-0.780252\pi\) |
−0.349314 | + | 0.937006i | \(0.613585\pi\) | |||||||
\(3\) | 0.483103 | + | 1.66331i | 0.278920 | + | 0.960314i | ||||
\(4\) | 0.598007 | − | 0.345260i | 0.299004 | − | 0.172630i | ||||
\(5\) | −0.829835 | − | 2.07638i | −0.371114 | − | 0.928587i | ||||
\(6\) | −1.47156 | − | 2.43024i | −0.600762 | − | 0.992142i | ||||
\(7\) | 2.60741 | + | 0.448788i | 0.985509 | + | 0.169626i | ||||
\(8\) | 1.51881 | − | 1.51881i | 0.536979 | − | 0.536979i | ||||
\(9\) | −2.53322 | + | 1.60710i | −0.844408 | + | 0.535701i | ||||
\(10\) | 2.19628 | + | 2.93751i | 0.694525 | + | 0.928921i | ||||
\(11\) | 3.23518 | 0.975443 | 0.487722 | − | 0.872999i | \(-0.337828\pi\) | ||||
0.487722 | + | 0.872999i | \(0.337828\pi\) | |||||||
\(12\) | 0.863175 | + | 0.827878i | 0.249177 | + | 0.238988i | ||||
\(13\) | 2.76140 | − | 0.739914i | 0.765873 | − | 0.205215i | 0.145326 | − | 0.989384i | \(-0.453577\pi\) |
0.620548 | + | 0.784169i | \(0.286910\pi\) | |||||||
\(14\) | −4.32168 | + | 0.395885i | −1.15502 | + | 0.105805i | ||||
\(15\) | 3.05278 | − | 2.38338i | 0.788225 | − | 0.615387i | ||||
\(16\) | −2.45211 | + | 4.24718i | −0.613028 | + | 1.06180i | ||||
\(17\) | −0.158772 | − | 0.592544i | −0.0385078 | − | 0.143713i | 0.943995 | − | 0.329958i | \(-0.107035\pi\) |
−0.982503 | + | 0.186245i | \(0.940368\pi\) | |||||||
\(18\) | 3.33134 | − | 3.62172i | 0.785204 | − | 0.853648i | ||||
\(19\) | 2.57396 | + | 4.45823i | 0.590507 | + | 1.02279i | 0.994164 | + | 0.107878i | \(0.0344055\pi\) |
−0.403657 | + | 0.914910i | \(0.632261\pi\) | |||||||
\(20\) | −1.21314 | − | 0.955185i | −0.271266 | − | 0.213586i | ||||
\(21\) | 0.513174 | + | 4.55375i | 0.111984 | + | 0.993710i | ||||
\(22\) | −5.12578 | + | 1.37345i | −1.09282 | + | 0.292820i | ||||
\(23\) | 1.12304 | − | 1.12304i | 0.234170 | − | 0.234170i | −0.580261 | − | 0.814431i | \(-0.697049\pi\) |
0.814431 | + | 0.580261i | \(0.197049\pi\) | |||||||
\(24\) | 3.25999 | + | 1.79251i | 0.665442 | + | 0.365894i | ||||
\(25\) | −3.62275 | + | 3.44611i | −0.724549 | + | 0.689223i | ||||
\(26\) | −4.06100 | + | 2.34462i | −0.796429 | + | 0.459818i | ||||
\(27\) | −3.89693 | − | 3.43715i | −0.749964 | − | 0.661479i | ||||
\(28\) | 1.71420 | − | 0.631856i | 0.323953 | − | 0.119409i | ||||
\(29\) | −5.74576 | + | 3.31732i | −1.06696 | + | 0.616011i | −0.927350 | − | 0.374196i | \(-0.877919\pi\) |
−0.139612 | + | 0.990206i | \(0.544585\pi\) | |||||||
\(30\) | −3.82496 | + | 5.07222i | −0.698340 | + | 0.926057i | ||||
\(31\) | 0.914099 | − | 0.527755i | 0.164177 | − | 0.0947876i | −0.415660 | − | 0.909520i | \(-0.636449\pi\) |
0.579837 | + | 0.814732i | \(0.303116\pi\) | |||||||
\(32\) | 0.970175 | − | 3.62074i | 0.171504 | − | 0.640063i | ||||
\(33\) | 1.56293 | + | 5.38112i | 0.272070 | + | 0.936732i | ||||
\(34\) | 0.503112 | + | 0.871416i | 0.0862830 | + | 0.149447i | ||||
\(35\) | −1.23187 | − | 5.78641i | −0.208223 | − | 0.978081i | ||||
\(36\) | −0.960018 | + | 1.83568i | −0.160003 | + | 0.305947i | ||||
\(37\) | −0.390141 | + | 1.45603i | −0.0641387 | + | 0.239369i | −0.990552 | − | 0.137140i | \(-0.956209\pi\) |
0.926413 | + | 0.376509i | \(0.122876\pi\) | |||||||
\(38\) | −5.97083 | − | 5.97083i | −0.968597 | − | 0.968597i | ||||
\(39\) | 2.56475 | + | 4.23561i | 0.410688 | + | 0.678241i | ||||
\(40\) | −4.41398 | − | 1.89327i | −0.697912 | − | 0.299352i | ||||
\(41\) | 10.7429 | + | 6.20241i | 1.67776 | + | 0.968654i | 0.963086 | + | 0.269195i | \(0.0867576\pi\) |
0.714672 | + | 0.699459i | \(0.246576\pi\) | |||||||
\(42\) | −2.74630 | − | 6.99705i | −0.423763 | − | 1.07967i | ||||
\(43\) | 10.8798 | + | 2.91523i | 1.65915 | + | 0.444568i | 0.962154 | − | 0.272506i | \(-0.0878524\pi\) |
0.696997 | + | 0.717074i | \(0.254519\pi\) | |||||||
\(44\) | 1.93466 | − | 1.11698i | 0.291661 | − | 0.168391i | ||||
\(45\) | 5.43912 | + | 3.92631i | 0.810817 | + | 0.585300i | ||||
\(46\) | −1.30256 | + | 2.25610i | −0.192052 | + | 0.332644i | ||||
\(47\) | −0.569855 | − | 2.12673i | −0.0831219 | − | 0.310215i | 0.911830 | − | 0.410568i | \(-0.134670\pi\) |
−0.994952 | + | 0.100353i | \(0.968003\pi\) | |||||||
\(48\) | −8.24901 | − | 2.02680i | −1.19064 | − | 0.292544i | ||||
\(49\) | 6.59718 | + | 2.34035i | 0.942454 | + | 0.334335i | ||||
\(50\) | 4.27684 | − | 6.99797i | 0.604837 | − | 0.989663i | ||||
\(51\) | 0.908883 | − | 0.550347i | 0.127269 | − | 0.0770640i | ||||
\(52\) | 1.39587 | − | 1.39587i | 0.193573 | − | 0.193573i | ||||
\(53\) | −1.23349 | − | 4.60344i | −0.169433 | − | 0.632332i | −0.997433 | − | 0.0716041i | \(-0.977188\pi\) |
0.828000 | − | 0.560728i | \(-0.189478\pi\) | |||||||
\(54\) | 7.63344 | + | 3.79139i | 1.03878 | + | 0.515943i | ||||
\(55\) | −2.68467 | − | 6.71748i | −0.362000 | − | 0.905784i | ||||
\(56\) | 4.64177 | − | 3.27853i | 0.620283 | − | 0.438112i | ||||
\(57\) | −6.17194 | + | 6.43509i | −0.817494 | + | 0.852348i | ||||
\(58\) | 7.69521 | − | 7.69521i | 1.01043 | − | 1.01043i | ||||
\(59\) | 3.16417 | + | 5.48050i | 0.411940 | + | 0.713500i | 0.995102 | − | 0.0988555i | \(-0.0315182\pi\) |
−0.583162 | + | 0.812356i | \(0.698185\pi\) | |||||||
\(60\) | 1.00270 | − | 2.47928i | 0.129448 | − | 0.320074i | ||||
\(61\) | −10.4121 | − | 6.01141i | −1.33313 | − | 0.769682i | −0.347351 | − | 0.937735i | \(-0.612919\pi\) |
−0.985778 | + | 0.168053i | \(0.946252\pi\) | |||||||
\(62\) | −1.22424 | + | 1.22424i | −0.155478 | + | 0.155478i | ||||
\(63\) | −7.32640 | + | 3.05350i | −0.923040 | + | 0.384705i | ||||
\(64\) | − | 3.65990i | − | 0.457488i | ||||||
\(65\) | −3.82785 | − | 5.11971i | −0.474786 | − | 0.635022i | ||||
\(66\) | −4.76076 | − | 7.86227i | −0.586009 | − | 0.967778i | ||||
\(67\) | 3.59693 | − | 13.4239i | 0.439435 | − | 1.63999i | −0.290791 | − | 0.956787i | \(-0.593918\pi\) |
0.730226 | − | 0.683206i | \(-0.239415\pi\) | |||||||
\(68\) | −0.299528 | − | 0.299528i | −0.0363231 | − | 0.0363231i | ||||
\(69\) | 2.41051 | + | 1.32542i | 0.290192 | + | 0.159562i | ||||
\(70\) | 4.40829 | + | 8.64495i | 0.526892 | + | 1.03327i | ||||
\(71\) | −11.8636 | −1.40795 | −0.703975 | − | 0.710225i | \(-0.748593\pi\) | ||||
−0.703975 | + | 0.710225i | \(0.748593\pi\) | |||||||
\(72\) | −1.40659 | + | 6.28835i | −0.165769 | + | 0.741089i | ||||
\(73\) | 5.47749 | − | 1.46769i | 0.641091 | − | 0.171780i | 0.0763936 | − | 0.997078i | \(-0.475659\pi\) |
0.564698 | + | 0.825298i | \(0.308993\pi\) | |||||||
\(74\) | − | 2.47254i | − | 0.287427i | ||||||
\(75\) | −7.48213 | − | 4.36093i | −0.863962 | − | 0.503557i | ||||
\(76\) | 3.07849 | + | 1.77737i | 0.353128 | + | 0.203878i | ||||
\(77\) | 8.43544 | + | 1.45191i | 0.961308 | + | 0.165460i | ||||
\(78\) | −5.86173 | − | 5.62203i | −0.663710 | − | 0.636569i | ||||
\(79\) | 0.646198 | + | 0.373083i | 0.0727030 | + | 0.0419751i | 0.535911 | − | 0.844275i | \(-0.319968\pi\) |
−0.463208 | + | 0.886250i | \(0.653302\pi\) | |||||||
\(80\) | 10.8536 | + | 1.56707i | 1.21347 | + | 0.175203i | ||||
\(81\) | 3.83443 | − | 8.14230i | 0.426048 | − | 0.904700i | ||||
\(82\) | −19.6541 | − | 5.26629i | −2.17043 | − | 0.581565i | ||||
\(83\) | −2.46250 | + | 9.19016i | −0.270294 | + | 1.00875i | 0.688636 | + | 0.725108i | \(0.258210\pi\) |
−0.958930 | + | 0.283644i | \(0.908457\pi\) | |||||||
\(84\) | 1.87911 | + | 2.54600i | 0.205028 | + | 0.277791i | ||||
\(85\) | −1.09859 | + | 0.821385i | −0.119159 | + | 0.0890917i | ||||
\(86\) | −18.4754 | −1.99226 | ||||||||
\(87\) | −8.29354 | − | 7.95440i | −0.889161 | − | 0.852801i | ||||
\(88\) | 4.91361 | − | 4.91361i | 0.523792 | − | 0.523792i | ||||
\(89\) | −3.40340 | − | 5.89485i | −0.360759 | − | 0.624853i | 0.627327 | − | 0.778756i | \(-0.284149\pi\) |
−0.988086 | + | 0.153903i | \(0.950816\pi\) | |||||||
\(90\) | −10.2845 | − | 3.91171i | −1.08409 | − | 0.412330i | ||||
\(91\) | 7.53216 | − | 0.689979i | 0.789584 | − | 0.0723294i | ||||
\(92\) | 0.283846 | − | 1.05933i | 0.0295930 | − | 0.110443i | ||||
\(93\) | 1.31943 | + | 1.26547i | 0.136818 | + | 0.131223i | ||||
\(94\) | 1.80574 | + | 3.12764i | 0.186248 | + | 0.322591i | ||||
\(95\) | 7.12104 | − | 9.04413i | 0.730603 | − | 0.927908i | ||||
\(96\) | 6.49112 | − | 0.135487i | 0.662498 | − | 0.0138281i | ||||
\(97\) | 4.07646 | + | 1.09228i | 0.413902 | + | 0.110905i | 0.459760 | − | 0.888043i | \(-0.347936\pi\) |
−0.0458581 | + | 0.998948i | \(0.514602\pi\) | |||||||
\(98\) | −11.4461 | − | 0.907282i | −1.15623 | − | 0.0916493i | ||||
\(99\) | −8.19543 | + | 5.19927i | −0.823672 | + | 0.522546i | ||||
\(100\) | −0.976625 | + | 3.31159i | −0.0976625 | + | 0.331159i | ||||
\(101\) | 0.942659i | 0.0937981i | 0.998900 | + | 0.0468990i | \(0.0149339\pi\) | ||||
−0.998900 | + | 0.0468990i | \(0.985066\pi\) | |||||||
\(102\) | −1.20638 | + | 1.25782i | −0.119450 | + | 0.124542i | ||||
\(103\) | −7.92045 | − | 7.92045i | −0.780425 | − | 0.780425i | 0.199477 | − | 0.979902i | \(-0.436076\pi\) |
−0.979902 | + | 0.199477i | \(0.936076\pi\) | |||||||
\(104\) | 3.07024 | − | 5.31781i | 0.301062 | − | 0.521454i | ||||
\(105\) | 9.02949 | − | 4.84441i | 0.881188 | − | 0.472766i | ||||
\(106\) | 3.90865 | + | 6.76999i | 0.379642 | + | 0.657559i | ||||
\(107\) | 1.49951 | − | 5.59626i | 0.144964 | − | 0.541011i | −0.854793 | − | 0.518968i | \(-0.826316\pi\) |
0.999757 | − | 0.0220430i | \(-0.00701707\pi\) | |||||||
\(108\) | −3.51710 | − | 0.709987i | −0.338433 | − | 0.0683186i | ||||
\(109\) | −6.70349 | − | 3.87026i | −0.642078 | − | 0.370704i | 0.143337 | − | 0.989674i | \(-0.454217\pi\) |
−0.785415 | + | 0.618970i | \(0.787550\pi\) | |||||||
\(110\) | 7.10536 | + | 9.50336i | 0.677470 | + | 0.906110i | ||||
\(111\) | −2.61030 | + | 0.0544840i | −0.247759 | + | 0.00517140i | ||||
\(112\) | −8.29974 | + | 9.97367i | −0.784252 | + | 0.942423i | ||||
\(113\) | 1.18114 | + | 4.40808i | 0.111112 | + | 0.414677i | 0.998967 | − | 0.0454475i | \(-0.0144714\pi\) |
−0.887854 | + | 0.460125i | \(0.847805\pi\) | |||||||
\(114\) | 7.04684 | − | 12.8159i | 0.659997 | − | 1.20032i | ||||
\(115\) | −3.26380 | − | 1.39993i | −0.304351 | − | 0.130544i | ||||
\(116\) | −2.29067 | + | 3.96756i | −0.212684 | + | 0.368379i | ||||
\(117\) | −5.80611 | + | 6.31222i | −0.536775 | + | 0.583565i | ||||
\(118\) | −7.33994 | − | 7.33994i | −0.675696 | − | 0.675696i | ||||
\(119\) | −0.148056 | − | 1.61626i | −0.0135723 | − | 0.148162i | ||||
\(120\) | 1.01669 | − | 8.25648i | 0.0928103 | − | 0.753710i | ||||
\(121\) | −0.533615 | −0.0485105 | ||||||||
\(122\) | 19.0488 | + | 5.10412i | 1.72460 | + | 0.462105i | ||||
\(123\) | −5.12663 | + | 20.8652i | −0.462253 | + | 1.88135i | ||||
\(124\) | 0.364425 | − | 0.631203i | 0.0327263 | − | 0.0566837i | ||||
\(125\) | 10.1617 | + | 4.66251i | 0.908894 | + | 0.417027i | ||||
\(126\) | 10.3115 | − | 7.94825i | 0.918626 | − | 0.708087i | ||||
\(127\) | −1.96362 | − | 1.96362i | −0.174244 | − | 0.174244i | 0.614597 | − | 0.788841i | \(-0.289318\pi\) |
−0.788841 | + | 0.614597i | \(0.789318\pi\) | |||||||
\(128\) | 3.49411 | + | 13.0402i | 0.308839 | + | 1.15260i | ||||
\(129\) | 0.407118 | + | 19.5048i | 0.0358448 | + | 1.71731i | ||||
\(130\) | 8.23830 | + | 6.48656i | 0.722547 | + | 0.568909i | ||||
\(131\) | 16.5436i | 1.44542i | 0.691151 | + | 0.722710i | \(0.257104\pi\) | ||||
−0.691151 | + | 0.722710i | \(0.742896\pi\) | |||||||
\(132\) | 2.79252 | + | 2.67833i | 0.243058 | + | 0.233119i | ||||
\(133\) | 4.71057 | + | 12.7796i | 0.408458 | + | 1.10813i | ||||
\(134\) | 22.7957i | 1.96925i | ||||||||
\(135\) | −3.90303 | + | 10.9438i | −0.335919 | + | 0.941891i | ||||
\(136\) | −1.14110 | − | 0.658815i | −0.0978487 | − | 0.0564930i | ||||
\(137\) | −1.66358 | − | 1.66358i | −0.142129 | − | 0.142129i | 0.632462 | − | 0.774591i | \(-0.282044\pi\) |
−0.774591 | + | 0.632462i | \(0.782044\pi\) | |||||||
\(138\) | −4.38188 | − | 1.07664i | −0.373010 | − | 0.0916495i | ||||
\(139\) | 10.2460 | − | 17.7465i | 0.869051 | − | 1.50524i | 0.00608390 | − | 0.999981i | \(-0.498063\pi\) |
0.862967 | − | 0.505260i | \(-0.168603\pi\) | |||||||
\(140\) | −2.73448 | − | 3.03500i | −0.231106 | − | 0.256504i | ||||
\(141\) | 3.26211 | − | 1.97528i | 0.274720 | − | 0.166348i | ||||
\(142\) | 18.7966 | − | 5.03652i | 1.57737 | − | 0.422655i | ||||
\(143\) | 8.93361 | − | 2.39375i | 0.747066 | − | 0.200176i | ||||
\(144\) | −0.613918 | − | 14.6999i | −0.0511598 | − | 1.22499i | ||||
\(145\) | 11.6561 | + | 9.17759i | 0.967984 | + | 0.762157i | ||||
\(146\) | −8.05538 | + | 4.65078i | −0.666668 | + | 0.384901i | ||||
\(147\) | −0.705612 | + | 12.1038i | −0.0581979 | + | 0.998305i | ||||
\(148\) | 0.269400 | + | 1.00541i | 0.0221445 | + | 0.0826445i | ||||
\(149\) | − | 11.3016i | − | 0.925865i | −0.886394 | − | 0.462933i | \(-0.846797\pi\) | ||
0.886394 | − | 0.462933i | \(-0.153203\pi\) | |||||||
\(150\) | 13.7060 | + | 3.73299i | 1.11909 | + | 0.304797i | ||||
\(151\) | −7.57082 | −0.616105 | −0.308052 | − | 0.951369i | \(-0.599677\pi\) | ||||
−0.308052 | + | 0.951369i | \(0.599677\pi\) | |||||||
\(152\) | 10.6805 | + | 2.86184i | 0.866305 | + | 0.232126i | ||||
\(153\) | 1.35448 | + | 1.24588i | 0.109503 | + | 0.100724i | ||||
\(154\) | −13.9814 | + | 1.28076i | −1.12665 | + | 0.103206i | ||||
\(155\) | −1.85437 | − | 1.46007i | −0.148947 | − | 0.117276i | ||||
\(156\) | 2.99612 | + | 1.64742i | 0.239882 | + | 0.131899i | ||||
\(157\) | −4.80405 | − | 1.28724i | −0.383405 | − | 0.102733i | 0.0619680 | − | 0.998078i | \(-0.480262\pi\) |
−0.445373 | + | 0.895345i | \(0.646929\pi\) | |||||||
\(158\) | −1.18222 | − | 0.316774i | −0.0940521 | − | 0.0252012i | ||||
\(159\) | 7.06107 | − | 4.27562i | 0.559979 | − | 0.339078i | ||||
\(160\) | −8.32314 | + | 0.990163i | −0.658002 | + | 0.0782793i | ||||
\(161\) | 3.43224 | − | 2.42422i | 0.270498 | − | 0.191055i | ||||
\(162\) | −2.61854 | + | 14.5284i | −0.205732 | + | 1.14146i | ||||
\(163\) | −17.0234 | − | 4.56140i | −1.33337 | − | 0.357277i | −0.479403 | − | 0.877595i | \(-0.659147\pi\) |
−0.853972 | + | 0.520318i | \(0.825813\pi\) | |||||||
\(164\) | 8.56577 | 0.668875 | ||||||||
\(165\) | 9.87630 | − | 7.71067i | 0.768869 | − | 0.600275i | ||||
\(166\) | − | 15.6062i | − | 1.21128i | ||||||
\(167\) | 0.981333 | + | 3.66239i | 0.0759379 | + | 0.283404i | 0.993444 | − | 0.114317i | \(-0.0364679\pi\) |
−0.917506 | + | 0.397721i | \(0.869801\pi\) | |||||||
\(168\) | 7.69567 | + | 6.13685i | 0.593734 | + | 0.473468i | ||||
\(169\) | −4.18050 | + | 2.41361i | −0.321577 | + | 0.185662i | ||||
\(170\) | 1.39189 | − | 1.76779i | 0.106753 | − | 0.135583i | ||||
\(171\) | −13.6853 | − | 7.15707i | −1.04654 | − | 0.547315i | ||||
\(172\) | 7.51270 | − | 2.01302i | 0.572838 | − | 0.153492i | ||||
\(173\) | 13.0366 | − | 3.49315i | 0.991154 | − | 0.265579i | 0.273419 | − | 0.961895i | \(-0.411845\pi\) |
0.717735 | + | 0.696316i | \(0.245179\pi\) | |||||||
\(174\) | 16.5171 | + | 9.08196i | 1.25216 | + | 0.688502i | ||||
\(175\) | −10.9926 | + | 7.35959i | −0.830960 | + | 0.556333i | ||||
\(176\) | −7.93302 | + | 13.7404i | −0.597974 | + | 1.03572i | ||||
\(177\) | −7.58717 | + | 7.91065i | −0.570286 | + | 0.594601i | ||||
\(178\) | 7.89488 | + | 7.89488i | 0.591746 | + | 0.591746i | ||||
\(179\) | −16.4629 | − | 9.50488i | −1.23050 | − | 0.710428i | −0.263364 | − | 0.964697i | \(-0.584832\pi\) |
−0.967134 | + | 0.254269i | \(0.918165\pi\) | |||||||
\(180\) | 4.60823 | + | 0.470054i | 0.343478 | + | 0.0350358i | ||||
\(181\) | 8.04642i | 0.598086i | 0.954240 | + | 0.299043i | \(0.0966674\pi\) | ||||
−0.954240 | + | 0.299043i | \(0.903333\pi\) | |||||||
\(182\) | −11.6409 | + | 4.29086i | −0.862884 | + | 0.318060i | ||||
\(183\) | 4.96876 | − | 20.2227i | 0.367301 | − | 1.49490i | ||||
\(184\) | − | 3.41136i | − | 0.251489i | ||||||
\(185\) | 3.34702 | − | 0.398179i | 0.246078 | − | 0.0292747i | ||||
\(186\) | −2.62772 | − | 1.44486i | −0.192674 | − | 0.105942i | ||||
\(187\) | −0.513655 | − | 1.91699i | −0.0375621 | − | 0.140184i | ||||
\(188\) | −1.07505 | − | 1.07505i | −0.0784061 | − | 0.0784061i | ||||
\(189\) | −8.61834 | − | 10.7109i | −0.626892 | − | 0.779106i | ||||
\(190\) | −7.44294 | + | 17.3526i | −0.539967 | + | 1.25889i | ||||
\(191\) | −4.11209 | + | 7.12235i | −0.297540 | + | 0.515355i | −0.975573 | − | 0.219677i | \(-0.929500\pi\) |
0.678032 | + | 0.735032i | \(0.262833\pi\) | |||||||
\(192\) | 6.08757 | − | 1.76811i | 0.439332 | − | 0.127602i | ||||
\(193\) | −8.34681 | − | 2.23652i | −0.600817 | − | 0.160988i | −0.0544246 | − | 0.998518i | \(-0.517332\pi\) |
−0.546392 | + | 0.837530i | \(0.683999\pi\) | |||||||
\(194\) | −6.92241 | −0.497000 | ||||||||
\(195\) | 6.66644 | − | 8.84026i | 0.477394 | − | 0.633064i | ||||
\(196\) | 4.75319 | − | 0.878196i | 0.339514 | − | 0.0627283i | ||||
\(197\) | −0.520474 | − | 0.520474i | −0.0370823 | − | 0.0370823i | 0.688323 | − | 0.725405i | \(-0.258347\pi\) |
−0.725405 | + | 0.688323i | \(0.758347\pi\) | |||||||
\(198\) | 10.7775 | − | 11.7169i | 0.765922 | − | 0.832685i | ||||
\(199\) | −10.7064 | + | 18.5440i | −0.758957 | + | 1.31455i | 0.184426 | + | 0.982846i | \(0.440957\pi\) |
−0.943383 | + | 0.331705i | \(0.892376\pi\) | |||||||
\(200\) | −0.268270 | + | 10.7362i | −0.0189696 | + | 0.759166i | ||||
\(201\) | 24.0659 | − | 0.502319i | 1.69748 | − | 0.0354309i | ||||
\(202\) | −0.400193 | − | 1.49354i | −0.0281575 | − | 0.105085i | ||||
\(203\) | −16.4703 | + | 6.07098i | −1.15599 | + | 0.426100i | ||||
\(204\) | 0.353506 | − | 0.642912i | 0.0247504 | − | 0.0450129i | ||||
\(205\) | 3.96376 | − | 27.4534i | 0.276841 | − | 1.91743i | ||||
\(206\) | 15.9116 | + | 9.18656i | 1.10861 | + | 0.640058i | ||||
\(207\) | −1.04007 | + | 4.64976i | −0.0722898 | + | 0.323180i | ||||
\(208\) | −3.62870 | + | 13.5425i | −0.251605 | + | 0.939003i | ||||
\(209\) | 8.32722 | + | 14.4232i | 0.576006 | + | 0.997672i | ||||
\(210\) | −12.2496 | + | 11.5088i | −0.845303 | + | 0.794181i | ||||
\(211\) | −6.21586 | + | 10.7662i | −0.427917 | + | 0.741174i | −0.996688 | − | 0.0813219i | \(-0.974086\pi\) |
0.568771 | + | 0.822496i | \(0.307419\pi\) | |||||||
\(212\) | −2.32702 | − | 2.32702i | −0.159820 | − | 0.159820i | ||||
\(213\) | −5.73134 | − | 19.7329i | −0.392705 | − | 1.35207i | ||||
\(214\) | 9.50326i | 0.649629i | ||||||||
\(215\) | −2.97529 | − | 25.0098i | −0.202913 | − | 1.70565i | ||||
\(216\) | −11.1390 | + | 0.698315i | −0.757915 | + | 0.0475143i | ||||
\(217\) | 2.62028 | − | 0.965838i | 0.177876 | − | 0.0655654i | ||||
\(218\) | 12.2640 | + | 3.28613i | 0.830623 | + | 0.222565i | ||||
\(219\) | 5.08742 | + | 8.40173i | 0.343776 | + | 0.567736i | ||||
\(220\) | −3.92472 | − | 3.09019i | −0.264605 | − | 0.208341i | ||||
\(221\) | −0.876862 | − | 1.51877i | −0.0589841 | − | 0.102164i | ||||
\(222\) | 4.11261 | − | 1.19449i | 0.276020 | − | 0.0801690i | ||||
\(223\) | 2.69100 | − | 10.0430i | 0.180203 | − | 0.672526i | −0.815404 | − | 0.578893i | \(-0.803485\pi\) |
0.995607 | − | 0.0936338i | \(-0.0298483\pi\) | |||||||
\(224\) | 4.15459 | − | 9.00536i | 0.277590 | − | 0.601696i | ||||
\(225\) | 3.63896 | − | 14.5519i | 0.242597 | − | 0.970127i | ||||
\(226\) | −3.74277 | − | 6.48268i | −0.248966 | − | 0.431221i | ||||
\(227\) | 7.22176 | − | 7.22176i | 0.479325 | − | 0.479325i | −0.425591 | − | 0.904916i | \(-0.639934\pi\) |
0.904916 | + | 0.425591i | \(0.139934\pi\) | |||||||
\(228\) | −1.46909 | + | 5.97915i | −0.0972930 | + | 0.395979i | ||||
\(229\) | 11.5222 | 0.761408 | 0.380704 | − | 0.924697i | \(-0.375682\pi\) | ||||
0.380704 | + | 0.924697i | \(0.375682\pi\) | |||||||
\(230\) | 5.76545 | + | 0.832426i | 0.380163 | + | 0.0548885i | ||||
\(231\) | 1.66021 | + | 14.7322i | 0.109234 | + | 0.969308i | ||||
\(232\) | −3.68834 | + | 13.7651i | −0.242151 | + | 0.903720i | ||||
\(233\) | −18.9338 | − | 5.07329i | −1.24039 | − | 0.332362i | −0.421775 | − | 0.906701i | \(-0.638593\pi\) |
−0.818618 | + | 0.574338i | \(0.805259\pi\) | |||||||
\(234\) | 6.51938 | − | 12.4659i | 0.426185 | − | 0.814922i | ||||
\(235\) | −3.94302 | + | 2.94807i | −0.257214 | + | 0.192311i | ||||
\(236\) | 3.78439 | + | 2.18492i | 0.246343 | + | 0.142226i | ||||
\(237\) | −0.308373 | + | 1.25507i | −0.0200310 | + | 0.0815254i | ||||
\(238\) | 0.920739 | + | 2.49793i | 0.0596827 | + | 0.161917i | ||||
\(239\) | −23.6416 | − | 13.6495i | −1.52925 | − | 0.882911i | −0.999394 | − | 0.0348213i | \(-0.988914\pi\) |
−0.529853 | − | 0.848090i | \(-0.677753\pi\) | |||||||
\(240\) | 2.63690 | + | 18.8100i | 0.170211 | + | 1.21418i | ||||
\(241\) | 1.59133i | 0.102507i | 0.998686 | + | 0.0512533i | \(0.0163216\pi\) | ||||
−0.998686 | + | 0.0512533i | \(0.983678\pi\) | |||||||
\(242\) | 0.845454 | − | 0.226539i | 0.0543478 | − | 0.0145625i | ||||
\(243\) | 15.3956 | + | 2.44429i | 0.987630 | + | 0.156801i | ||||
\(244\) | −8.30200 | −0.531481 | ||||||||
\(245\) | −0.615111 | − | 15.6404i | −0.0392980 | − | 0.999228i | ||||
\(246\) | −0.735450 | − | 35.2350i | −0.0468906 | − | 2.24650i | ||||
\(247\) | 10.4064 | + | 10.4064i | 0.662145 | + | 0.662145i | ||||
\(248\) | 0.586781 | − | 2.18989i | 0.0372606 | − | 0.139058i | ||||
\(249\) | −16.4758 | + | 0.343893i | −1.04411 | + | 0.0217933i | ||||
\(250\) | −18.0796 | − | 3.07321i | −1.14345 | − | 0.194367i | ||||
\(251\) | 6.01958i | 0.379953i | 0.981789 | + | 0.189976i | \(0.0608411\pi\) | ||||
−0.981789 | + | 0.189976i | \(0.939159\pi\) | |||||||
\(252\) | −3.32699 | + | 4.35553i | −0.209581 | + | 0.274372i | ||||
\(253\) | 3.63324 | − | 3.63324i | 0.228420 | − | 0.228420i | ||||
\(254\) | 3.94477 | + | 2.27752i | 0.247517 | + | 0.142904i | ||||
\(255\) | −1.89695 | − | 1.43049i | −0.118792 | − | 0.0895810i | ||||
\(256\) | −7.41216 | − | 12.8382i | −0.463260 | − | 0.802390i | ||||
\(257\) | −13.8569 | + | 13.8569i | −0.864367 | + | 0.864367i | −0.991842 | − | 0.127475i | \(-0.959313\pi\) |
0.127475 | + | 0.991842i | \(0.459313\pi\) | |||||||
\(258\) | −8.92554 | − | 30.7304i | −0.555680 | − | 1.91319i | ||||
\(259\) | −1.67070 | + | 3.62136i | −0.103812 | + | 0.225021i | ||||
\(260\) | −4.05671 | − | 1.74002i | −0.251587 | − | 0.107912i | ||||
\(261\) | 9.22402 | − | 17.6375i | 0.570953 | − | 1.09174i | ||||
\(262\) | −7.02335 | − | 26.2115i | −0.433904 | − | 1.61935i | ||||
\(263\) | −6.78941 | + | 6.78941i | −0.418653 | + | 0.418653i | −0.884739 | − | 0.466086i | \(-0.845664\pi\) |
0.466086 | + | 0.884739i | \(0.345664\pi\) | |||||||
\(264\) | 10.5466 | + | 5.79909i | 0.649101 | + | 0.356909i | ||||
\(265\) | −8.53493 | + | 6.38130i | −0.524296 | + | 0.392000i | ||||
\(266\) | −12.8888 | − | 18.2480i | −0.790262 | − | 1.11886i | ||||
\(267\) | 8.16080 | − | 8.50874i | 0.499433 | − | 0.520726i | ||||
\(268\) | −2.48375 | − | 9.26948i | −0.151719 | − | 0.566223i | ||||
\(269\) | 9.90883 | − | 17.1626i | 0.604152 | − | 1.04642i | −0.388033 | − | 0.921645i | \(-0.626845\pi\) |
0.992185 | − | 0.124776i | \(-0.0398213\pi\) | |||||||
\(270\) | 1.53789 | − | 18.9962i | 0.0935932 | − | 1.15607i | ||||
\(271\) | 20.8847 | − | 12.0578i | 1.26866 | − | 0.732458i | 0.293922 | − | 0.955829i | \(-0.405039\pi\) |
0.974734 | + | 0.223371i | \(0.0717061\pi\) | |||||||
\(272\) | 2.90597 | + | 0.778651i | 0.176200 | + | 0.0472127i | ||||
\(273\) | 4.78646 | + | 12.1950i | 0.289690 | + | 0.738075i | ||||
\(274\) | 3.34200 | + | 1.92951i | 0.201898 | + | 0.116566i | ||||
\(275\) | −11.7202 | + | 11.1488i | −0.706757 | + | 0.672298i | ||||
\(276\) | 1.89912 | − | 0.0396397i | 0.114314 | − | 0.00238603i | ||||
\(277\) | −8.42859 | − | 8.42859i | −0.506425 | − | 0.506425i | 0.407002 | − | 0.913427i | \(-0.366574\pi\) |
−0.913427 | + | 0.407002i | \(0.866574\pi\) | |||||||
\(278\) | −8.69956 | + | 32.4672i | −0.521765 | + | 1.94725i | ||||
\(279\) | −1.46746 | + | 2.80597i | −0.0878544 | + | 0.167989i | ||||
\(280\) | −10.6594 | − | 6.91746i | −0.637020 | − | 0.413397i | ||||
\(281\) | −12.9874 | − | 22.4948i | −0.774762 | − | 1.34193i | −0.934928 | − | 0.354837i | \(-0.884536\pi\) |
0.160166 | − | 0.987090i | \(-0.448797\pi\) | |||||||
\(282\) | −4.32988 | + | 4.51449i | −0.257841 | + | 0.268834i | ||||
\(283\) | 0.464680 | − | 1.73421i | 0.0276224 | − | 0.103088i | −0.950738 | − | 0.309994i | \(-0.899673\pi\) |
0.978361 | + | 0.206906i | \(0.0663395\pi\) | |||||||
\(284\) | −7.09452 | + | 4.09602i | −0.420982 | + | 0.243054i | ||||
\(285\) | 18.4834 | + | 7.47527i | 1.09486 | + | 0.442797i | ||||
\(286\) | −13.1381 | + | 7.58527i | −0.776871 | + | 0.448527i | ||||
\(287\) | 25.2276 | + | 20.9935i | 1.48914 | + | 1.23921i | ||||
\(288\) | 3.36124 | + | 10.7313i | 0.198063 | + | 0.632349i | ||||
\(289\) | 14.3965 | − | 8.31184i | 0.846855 | − | 0.488932i | ||||
\(290\) | −22.3640 | − | 9.59246i | −1.31326 | − | 0.563288i | ||||
\(291\) | 0.152540 | + | 7.30811i | 0.00894205 | + | 0.428409i | ||||
\(292\) | 2.76884 | − | 2.76884i | 0.162034 | − | 0.162034i | ||||
\(293\) | 3.36480 | − | 0.901595i | 0.196574 | − | 0.0526717i | −0.159189 | − | 0.987248i | \(-0.550888\pi\) |
0.355762 | + | 0.934576i | \(0.384221\pi\) | |||||||
\(294\) | −4.02053 | − | 19.4767i | −0.234482 | − | 1.13590i | ||||
\(295\) | 8.75389 | − | 11.1179i | 0.509671 | − | 0.647312i | ||||
\(296\) | 1.61887 | + | 2.80397i | 0.0940950 | + | 0.162977i | ||||
\(297\) | −12.6073 | − | 11.1198i | −0.731547 | − | 0.645235i | ||||
\(298\) | 4.79794 | + | 17.9062i | 0.277937 | + | 1.03728i | ||||
\(299\) | 2.27021 | − | 3.93211i | 0.131289 | − | 0.227400i | ||||
\(300\) | −5.98002 | − | 0.0245933i | −0.345257 | − | 0.00141990i | ||||
\(301\) | 27.0597 | + | 12.4839i | 1.55970 | + | 0.719561i | ||||
\(302\) | 11.9951 | − | 3.21408i | 0.690242 | − | 0.184950i | ||||
\(303\) | −1.56794 | + | 0.455402i | −0.0900757 | + | 0.0261621i | ||||
\(304\) | −25.2465 | −1.44799 | ||||||||
\(305\) | −3.84170 | + | 26.6079i | −0.219975 | + | 1.52357i | ||||
\(306\) | −2.67495 | − | 1.39894i | −0.152917 | − | 0.0799719i | ||||
\(307\) | −6.17914 | + | 6.17914i | −0.352662 | + | 0.352662i | −0.861099 | − | 0.508437i | \(-0.830223\pi\) |
0.508437 | + | 0.861099i | \(0.330223\pi\) | |||||||
\(308\) | 5.54574 | − | 2.04417i | 0.315998 | − | 0.116477i | ||||
\(309\) | 9.34780 | − | 17.0006i | 0.531777 | − | 0.967129i | ||||
\(310\) | 3.55790 | + | 1.52607i | 0.202075 | + | 0.0866751i | ||||
\(311\) | −20.0050 | + | 11.5499i | −1.13438 | + | 0.654934i | −0.945033 | − | 0.326976i | \(-0.893970\pi\) |
−0.189346 | + | 0.981910i | \(0.560637\pi\) | |||||||
\(312\) | 10.3284 | + | 2.53772i | 0.584732 | + | 0.143670i | ||||
\(313\) | −16.1173 | + | 4.31860i | −0.911001 | + | 0.244102i | −0.683735 | − | 0.729731i | \(-0.739645\pi\) |
−0.227266 | + | 0.973833i | \(0.572979\pi\) | |||||||
\(314\) | 8.15797 | 0.460381 | ||||||||
\(315\) | 12.4199 | + | 12.6785i | 0.699785 | + | 0.714354i | ||||
\(316\) | 0.515242 | 0.0289846 | ||||||||
\(317\) | 16.0249 | − | 4.29386i | 0.900048 | − | 0.241167i | 0.221011 | − | 0.975271i | \(-0.429064\pi\) |
0.679037 | + | 0.734104i | \(0.262398\pi\) | |||||||
\(318\) | −9.37232 | + | 9.77192i | −0.525574 | + | 0.547982i | ||||
\(319\) | −18.5886 | + | 10.7321i | −1.04076 | + | 0.600883i | ||||
\(320\) | −7.59937 | + | 3.03712i | −0.424818 | + | 0.169780i | ||||
\(321\) | 10.0328 | − | 0.209411i | 0.559974 | − | 0.0116882i | ||||
\(322\) | −4.40883 | + | 5.29802i | −0.245694 | + | 0.295247i | ||||
\(323\) | 2.23302 | − | 2.23302i | 0.124249 | − | 0.124249i | ||||
\(324\) | −0.518190 | − | 6.19303i | −0.0287883 | − | 0.344057i | ||||
\(325\) | −7.45401 | + | 12.1966i | −0.413474 | + | 0.676546i | ||||
\(326\) | 28.9082 | 1.60107 | ||||||||
\(327\) | 3.19898 | − | 13.0197i | 0.176904 | − | 0.719993i | ||||
\(328\) | 25.7366 | − | 6.89611i | 1.42107 | − | 0.380774i | ||||
\(329\) | −0.531397 | − | 5.80099i | −0.0292968 | − | 0.319819i | ||||
\(330\) | −12.3744 | + | 16.4096i | −0.681191 | + | 0.903316i | ||||
\(331\) | 14.4207 | − | 24.9774i | 0.792634 | − | 1.37288i | −0.131697 | − | 0.991290i | \(-0.542042\pi\) |
0.924331 | − | 0.381592i | \(-0.124624\pi\) | |||||||
\(332\) | 1.70040 | + | 6.34599i | 0.0933217 | + | 0.348281i | ||||
\(333\) | −1.35167 | − | 4.31543i | −0.0740711 | − | 0.236484i | ||||
\(334\) | −3.10963 | − | 5.38603i | −0.170151 | − | 0.294711i | ||||
\(335\) | −30.8581 | + | 3.67103i | −1.68596 | + | 0.200570i | ||||
\(336\) | −20.5990 | − | 8.98676i | −1.12377 | − | 0.490268i | ||||
\(337\) | 21.7680 | − | 5.83271i | 1.18578 | − | 0.317728i | 0.388561 | − | 0.921423i | \(-0.372972\pi\) |
0.797215 | + | 0.603695i | \(0.206306\pi\) | |||||||
\(338\) | 5.59887 | − | 5.59887i | 0.304538 | − | 0.304538i | ||||
\(339\) | −6.76140 | + | 4.09416i | −0.367229 | + | 0.222364i | ||||
\(340\) | −0.373377 | + | 0.870495i | −0.0202492 | + | 0.0472092i | ||||
\(341\) | 2.95727 | − | 1.70738i | 0.160145 | − | 0.0924599i | ||||
\(342\) | 24.7212 | + | 5.52970i | 1.33677 | + | 0.299012i | ||||
\(343\) | 16.1512 | + | 9.06298i | 0.872085 | + | 0.489355i | ||||
\(344\) | 20.9519 | − | 12.0966i | 1.12965 | − | 0.652205i | ||||
\(345\) | 0.751762 | − | 6.10504i | 0.0404735 | − | 0.328684i | ||||
\(346\) | −19.1721 | + | 11.0690i | −1.03070 | + | 0.595073i | ||||
\(347\) | 5.00440 | − | 18.6767i | 0.268650 | − | 1.00262i | −0.691327 | − | 0.722542i | \(-0.742974\pi\) |
0.959978 | − | 0.280076i | \(-0.0903595\pi\) | |||||||
\(348\) | −7.70593 | − | 1.89337i | −0.413081 | − | 0.101495i | ||||
\(349\) | 13.3521 | + | 23.1266i | 0.714723 | + | 1.23794i | 0.963066 | + | 0.269265i | \(0.0867806\pi\) |
−0.248343 | + | 0.968672i | \(0.579886\pi\) | |||||||
\(350\) | 14.2921 | − | 16.3272i | 0.763944 | − | 0.872725i | ||||
\(351\) | −13.3041 | − | 6.60793i | −0.710123 | − | 0.352705i | ||||
\(352\) | 3.13869 | − | 11.7138i | 0.167293 | − | 0.624345i | ||||
\(353\) | −1.37035 | − | 1.37035i | −0.0729365 | − | 0.0729365i | 0.669698 | − | 0.742634i | \(-0.266424\pi\) |
−0.742634 | + | 0.669698i | \(0.766424\pi\) | |||||||
\(354\) | 8.66267 | − | 15.7546i | 0.460416 | − | 0.837346i | ||||
\(355\) | 9.84483 | + | 24.6334i | 0.522509 | + | 1.30740i | ||||
\(356\) | −4.07051 | − | 2.35011i | −0.215737 | − | 0.124556i | ||||
\(357\) | 2.61682 | − | 1.02708i | 0.138497 | − | 0.0543591i | ||||
\(358\) | 30.1188 | + | 8.07032i | 1.59183 | + | 0.426530i | ||||
\(359\) | −22.2604 | + | 12.8520i | −1.17486 | + | 0.678304i | −0.954819 | − | 0.297188i | \(-0.903951\pi\) |
−0.220038 | + | 0.975491i | \(0.570618\pi\) | |||||||
\(360\) | 14.2243 | − | 2.29766i | 0.749685 | − | 0.121098i | ||||
\(361\) | −3.75054 | + | 6.49613i | −0.197397 | + | 0.341901i | ||||
\(362\) | −3.41600 | − | 12.7487i | −0.179541 | − | 0.670055i | ||||
\(363\) | −0.257791 | − | 0.887569i | −0.0135305 | − | 0.0465853i | ||||
\(364\) | 4.26606 | − | 3.01316i | 0.223602 | − | 0.157933i | ||||
\(365\) | −7.59290 | − | 10.1554i | −0.397430 | − | 0.531559i | ||||
\(366\) | 0.712802 | + | 34.1500i | 0.0372587 | + | 1.78505i | ||||
\(367\) | 0.132507 | − | 0.132507i | 0.00691681 | − | 0.00691681i | −0.703640 | − | 0.710557i | \(-0.748443\pi\) |
0.710557 | + | 0.703640i | \(0.248443\pi\) | |||||||
\(368\) | 2.01594 | + | 7.52358i | 0.105088 | + | 0.392194i | ||||
\(369\) | −37.1821 | + | 1.55286i | −1.93562 | + | 0.0808384i | ||||
\(370\) | −5.13394 | + | 2.05180i | −0.266901 | + | 0.106668i | ||||
\(371\) | −1.15024 | − | 12.5566i | −0.0597177 | − | 0.651908i | ||||
\(372\) | 1.22594 | + | 0.301217i | 0.0635622 | + | 0.0156174i | ||||
\(373\) | −17.3371 | + | 17.3371i | −0.897682 | + | 0.897682i | −0.995231 | − | 0.0975483i | \(-0.968900\pi\) |
0.0975483 | + | 0.995231i | \(0.468900\pi\) | |||||||
\(374\) | 1.62766 | + | 2.81919i | 0.0841642 | + | 0.145777i | ||||
\(375\) | −2.84604 | + | 19.1546i | −0.146969 | + | 0.989141i | ||||
\(376\) | −4.09558 | − | 2.36459i | −0.211214 | − | 0.121944i | ||||
\(377\) | −13.4118 | + | 13.4118i | −0.690743 | + | 0.690743i | ||||
\(378\) | 18.2020 | + | 13.3115i | 0.936209 | + | 0.684670i | ||||
\(379\) | − | 2.21440i | − | 0.113746i | −0.998381 | − | 0.0568731i | \(-0.981887\pi\) | ||
0.998381 | − | 0.0568731i | \(-0.0181130\pi\) | |||||||
\(380\) | 1.13586 | − | 7.86706i | 0.0582684 | − | 0.403572i | ||||
\(381\) | 2.31749 | − | 4.21476i | 0.118729 | − | 0.215929i | ||||
\(382\) | 3.49146 | − | 13.0303i | 0.178639 | − | 0.666688i | ||||
\(383\) | 9.22687 | + | 9.22687i | 0.471471 | + | 0.471471i | 0.902390 | − | 0.430919i | \(-0.141811\pi\) |
−0.430919 | + | 0.902390i | \(0.641811\pi\) | |||||||
\(384\) | −20.0019 | + | 12.1116i | −1.02072 | + | 0.618066i | ||||
\(385\) | −3.98531 | − | 18.7201i | −0.203110 | − | 0.954063i | ||||
\(386\) | 14.1741 | 0.721442 | ||||||||
\(387\) | −32.2460 | + | 10.1000i | −1.63916 | + | 0.513413i | ||||
\(388\) | 2.81487 | − | 0.754243i | 0.142904 | − | 0.0382909i | ||||
\(389\) | 2.98954i | 0.151576i | 0.997124 | + | 0.0757878i | \(0.0241472\pi\) | ||||
−0.997124 | + | 0.0757878i | \(0.975853\pi\) | |||||||
\(390\) | −6.80923 | + | 16.8366i | −0.344799 | + | 0.852552i | ||||
\(391\) | −0.843758 | − | 0.487144i | −0.0426707 | − | 0.0246359i | ||||
\(392\) | 13.5744 | − | 6.46530i | 0.685609 | − | 0.326547i | ||||
\(393\) | −27.5172 | + | 7.99226i | −1.38806 | + | 0.403156i | ||||
\(394\) | 1.04559 | + | 0.603674i | 0.0526763 | + | 0.0304127i | ||||
\(395\) | 0.238425 | − | 1.65135i | 0.0119965 | − | 0.0830886i | ||||
\(396\) | −3.10583 | + | 5.93875i | −0.156074 | + | 0.298434i | ||||
\(397\) | −17.5913 | − | 4.71356i | −0.882880 | − | 0.236567i | −0.211231 | − | 0.977436i | \(-0.567747\pi\) |
−0.671649 | + | 0.740869i | \(0.734414\pi\) | |||||||
\(398\) | 9.09050 | − | 33.9262i | 0.455666 | − | 1.70057i | ||||
\(399\) | −18.9808 | + | 14.0090i | −0.950228 | + | 0.701328i | ||||
\(400\) | −5.75289 | − | 23.8367i | −0.287645 | − | 1.19184i | ||||
\(401\) | 6.80472 | 0.339812 | 0.169906 | − | 0.985460i | \(-0.445654\pi\) | ||||
0.169906 | + | 0.985460i | \(0.445654\pi\) | |||||||
\(402\) | −37.9164 | + | 11.0127i | −1.89110 | + | 0.549263i | ||||
\(403\) | 2.13369 | − | 2.13369i | 0.106287 | − | 0.106287i | ||||
\(404\) | 0.325462 | + | 0.563717i | 0.0161924 | + | 0.0280460i | ||||
\(405\) | −20.0885 | − | 1.20499i | −0.998206 | − | 0.0598764i | ||||
\(406\) | 23.5181 | − | 16.6110i | 1.16718 | − | 0.824393i | ||||
\(407\) | −1.26218 | + | 4.71050i | −0.0625637 | + | 0.233491i | ||||
\(408\) | 0.544547 | − | 2.21629i | 0.0269591 | − | 0.109722i | ||||
\(409\) | −3.31525 | − | 5.74219i | −0.163929 | − | 0.283933i | 0.772346 | − | 0.635203i | \(-0.219083\pi\) |
−0.936274 | + | 0.351270i | \(0.885750\pi\) | |||||||
\(410\) | 5.37479 | + | 45.1796i | 0.265442 | + | 2.23126i | ||||
\(411\) | 1.96337 | − | 3.57073i | 0.0968460 | − | 0.176131i | ||||
\(412\) | −7.47110 | − | 2.00188i | −0.368075 | − | 0.0986253i | ||||
\(413\) | 5.79070 | + | 15.7100i | 0.284942 | + | 0.773036i | ||||
\(414\) | −0.326114 | − | 7.80857i | −0.0160276 | − | 0.383770i | ||||
\(415\) | 21.1258 | − | 2.51323i | 1.03702 | − | 0.123370i | ||||
\(416\) | − | 10.7161i | − | 0.525402i | ||||||
\(417\) | 34.4679 | + | 8.46884i | 1.68790 | + | 0.414721i | ||||
\(418\) | −19.3167 | − | 19.3167i | −0.944811 | − | 0.944811i | ||||
\(419\) | 1.00911 | − | 1.74782i | 0.0492981 | − | 0.0853868i | −0.840323 | − | 0.542085i | \(-0.817635\pi\) |
0.889621 | + | 0.456699i | \(0.150968\pi\) | |||||||
\(420\) | 3.72712 | − | 6.01451i | 0.181865 | − | 0.293478i | ||||
\(421\) | 15.2973 | + | 26.4958i | 0.745547 | + | 1.29133i | 0.949939 | + | 0.312436i | \(0.101145\pi\) |
−0.204392 | + | 0.978889i | \(0.565522\pi\) | |||||||
\(422\) | 5.27771 | − | 19.6967i | 0.256915 | − | 0.958819i | ||||
\(423\) | 4.86144 | + | 4.47166i | 0.236371 | + | 0.217419i | ||||
\(424\) | −8.86516 | − | 5.11830i | −0.430530 | − | 0.248567i | ||||
\(425\) | 2.61716 | + | 1.59949i | 0.126951 | + | 0.0775867i | ||||
\(426\) | 17.4580 | + | 28.8314i | 0.845842 | + | 1.39689i | ||||
\(427\) | −24.4507 | − | 20.3470i | −1.18325 | − | 0.984662i | ||||
\(428\) | −1.03544 | − | 3.86433i | −0.0500501 | − | 0.186789i | ||||
\(429\) | 8.29742 | + | 13.7030i | 0.400603 | + | 0.661585i | ||||
\(430\) | 15.3316 | + | 38.3621i | 0.739353 | + | 1.84998i | ||||
\(431\) | 13.8368 | − | 23.9660i | 0.666494 | − | 1.15440i | −0.312384 | − | 0.949956i | \(-0.601127\pi\) |
0.978878 | − | 0.204446i | \(-0.0655392\pi\) | |||||||
\(432\) | 24.1539 | − | 8.12268i | 1.16210 | − | 0.390803i | ||||
\(433\) | −16.3738 | − | 16.3738i | −0.786874 | − | 0.786874i | 0.194106 | − | 0.980980i | \(-0.437819\pi\) |
−0.980980 | + | 0.194106i | \(0.937819\pi\) | |||||||
\(434\) | −3.74151 | + | 2.64267i | −0.179598 | + | 0.126852i | ||||
\(435\) | −9.63412 | + | 23.8214i | −0.461921 | + | 1.14215i | ||||
\(436\) | −5.34498 | −0.255978 | ||||||||
\(437\) | 7.89744 | + | 2.11611i | 0.377786 | + | 0.101227i | ||||
\(438\) | −11.6273 | − | 11.1518i | −0.555573 | − | 0.532855i | ||||
\(439\) | 14.3582 | − | 24.8691i | 0.685279 | − | 1.18694i | −0.288070 | − | 0.957609i | \(-0.593013\pi\) |
0.973349 | − | 0.229329i | \(-0.0736532\pi\) | |||||||
\(440\) | −14.2800 | − | 6.12505i | −0.680773 | − | 0.292001i | ||||
\(441\) | −20.4733 | + | 4.67373i | −0.974919 | + | 0.222559i | ||||
\(442\) | 2.03406 | + | 2.03406i | 0.0967505 | + | 0.0967505i | ||||
\(443\) | 5.30471 | + | 19.7975i | 0.252035 | + | 0.940606i | 0.969716 | + | 0.244234i | \(0.0785367\pi\) |
−0.717682 | + | 0.696371i | \(0.754797\pi\) | |||||||
\(444\) | −1.54217 | + | 0.933815i | −0.0731882 | + | 0.0443169i | ||||
\(445\) | −9.41573 | + | 11.9585i | −0.446348 | + | 0.566888i | ||||
\(446\) | 17.0544i | 0.807548i | ||||||||
\(447\) | 18.7981 | − | 5.45985i | 0.889122 | − | 0.258242i | ||||
\(448\) | 1.64252 | − | 9.54287i | 0.0776018 | − | 0.450858i | ||||
\(449\) | 28.3403i | 1.33746i | 0.743505 | + | 0.668731i | \(0.233162\pi\) | ||||
−0.743505 | + | 0.668731i | \(0.766838\pi\) | |||||||
\(450\) | 0.412276 | + | 24.6008i | 0.0194349 | + | 1.15969i | ||||
\(451\) | 34.7552 | + | 20.0659i | 1.63656 | + | 0.944867i | ||||
\(452\) | 2.22826 | + | 2.22826i | 0.104809 | + | 0.104809i | ||||
\(453\) | −3.65749 | − | 12.5926i | −0.171844 | − | 0.591654i | ||||
\(454\) | −8.37618 | + | 14.5080i | −0.393114 | + | 0.680893i | ||||
\(455\) | −7.68311 | − | 15.0671i | −0.360190 | − | 0.706356i | ||||
\(456\) | 0.399662 | + | 19.1476i | 0.0187159 | + | 0.896670i | ||||
\(457\) | −18.9616 | + | 5.08074i | −0.886986 | + | 0.237667i | −0.673419 | − | 0.739261i | \(-0.735175\pi\) |
−0.213567 | + | 0.976928i | \(0.568508\pi\) | |||||||
\(458\) | −18.2556 | + | 4.89158i | −0.853030 | + | 0.228569i | ||||
\(459\) | −1.41794 | + | 2.85482i | −0.0661837 | + | 0.133252i | ||||
\(460\) | −2.43512 | + | 0.289694i | −0.113538 | + | 0.0135070i | ||||
\(461\) | 22.4912 | − | 12.9853i | 1.04752 | − | 0.604786i | 0.125566 | − | 0.992085i | \(-0.459925\pi\) |
0.921954 | + | 0.387299i | \(0.126592\pi\) | |||||||
\(462\) | −8.88477 | − | 22.6367i | −0.413357 | − | 1.05316i | ||||
\(463\) | −6.93670 | − | 25.8881i | −0.322376 | − | 1.20312i | −0.916924 | − | 0.399062i | \(-0.869336\pi\) |
0.594548 | − | 0.804060i | \(-0.297331\pi\) | |||||||
\(464\) | − | 32.5377i | − | 1.51053i | ||||||
\(465\) | 1.53270 | − | 3.78977i | 0.0710773 | − | 0.175746i | ||||
\(466\) | 32.1523 | 1.48942 | ||||||||
\(467\) | −0.106949 | − | 0.0286570i | −0.00494902 | − | 0.00132609i | 0.256344 | − | 0.966586i | \(-0.417482\pi\) |
−0.261293 | + | 0.965260i | \(0.584149\pi\) | |||||||
\(468\) | −1.29274 | + | 5.77937i | −0.0597571 | + | 0.267151i | ||||
\(469\) | 15.4032 | − | 33.3874i | 0.711252 | − | 1.54169i | ||||
\(470\) | 4.99571 | − | 6.34484i | 0.230435 | − | 0.292666i | ||||
\(471\) | −0.179766 | − | 8.61252i | −0.00828320 | − | 0.396844i | ||||
\(472\) | 13.1296 | + | 3.51806i | 0.604337 | + | 0.161932i | ||||
\(473\) | 35.1980 | + | 9.43129i | 1.61841 | + | 0.433651i | ||||
\(474\) | −0.0442382 | − | 2.11943i | −0.00203193 | − | 0.0973487i | ||||
\(475\) | −24.6884 | − | 7.28088i | −1.13278 | − | 0.334070i | ||||
\(476\) | −0.646568 | − | 0.915417i | −0.0296354 | − | 0.0419581i | ||||
\(477\) | 10.5229 | + | 9.67920i | 0.481811 | + | 0.443180i | ||||
\(478\) | 43.2521 | + | 11.5894i | 1.97831 | + | 0.530086i | ||||
\(479\) | −26.9949 | −1.23343 | −0.616714 | − | 0.787187i | \(-0.711536\pi\) | ||||
−0.616714 | + | 0.787187i | \(0.711536\pi\) | |||||||
\(480\) | −5.66789 | − | 13.3656i | −0.258702 | − | 0.610055i | ||||
\(481\) | 4.30933i | 0.196489i | ||||||||
\(482\) | −0.675577 | − | 2.52129i | −0.0307717 | − | 0.114841i | ||||
\(483\) | 5.69036 | + | 4.53773i | 0.258921 | + | 0.206474i | ||||
\(484\) | −0.319106 | + | 0.184236i | −0.0145048 | + | 0.00837436i | ||||
\(485\) | −1.11479 | − | 9.37071i | −0.0506199 | − | 0.425502i | ||||
\(486\) | −25.4304 | + | 2.66329i | −1.15354 | + | 0.120809i | ||||
\(487\) | −6.50489 | + | 1.74298i | −0.294764 | + | 0.0789819i | −0.403171 | − | 0.915125i | \(-0.632092\pi\) |
0.108406 | + | 0.994107i | \(0.465425\pi\) | |||||||
\(488\) | −24.9441 | + | 6.68374i | −1.12917 | + | 0.302559i | ||||
\(489\) | −0.637010 | − | 30.5189i | −0.0288066 | − | 1.38011i | ||||
\(490\) | 7.61448 | + | 24.5193i | 0.343987 | + | 1.10767i | ||||
\(491\) | 13.4316 | − | 23.2643i | 0.606161 | − | 1.04990i | −0.385705 | − | 0.922622i | \(-0.626042\pi\) |
0.991867 | − | 0.127280i | \(-0.0406248\pi\) | |||||||
\(492\) | 4.13815 | + | 14.2476i | 0.186562 | + | 0.642330i | ||||
\(493\) | 2.87792 | + | 2.87792i | 0.129615 | + | 0.129615i | ||||
\(494\) | −20.9057 | − | 12.0699i | −0.940593 | − | 0.543052i | ||||
\(495\) | 17.5965 | + | 12.7023i | 0.790906 | + | 0.570927i | ||||
\(496\) | 5.17646i | 0.232430i | ||||||||
\(497\) | −30.9333 | − | 5.32424i | −1.38755 | − | 0.238825i | ||||
\(498\) | 25.9580 | − | 7.53941i | 1.16321 | − | 0.337849i | ||||
\(499\) | 16.7447i | 0.749598i | 0.927106 | + | 0.374799i | \(0.122288\pi\) | ||||
−0.927106 | + | 0.374799i | \(0.877712\pi\) | |||||||
\(500\) | 7.68657 | − | 0.720226i | 0.343754 | − | 0.0322095i | ||||
\(501\) | −5.61761 | + | 3.40158i | −0.250976 | + | 0.151971i | ||||
\(502\) | −2.55553 | − | 9.53736i | −0.114059 | − | 0.425673i | ||||
\(503\) | −21.2329 | − | 21.2329i | −0.946730 | − | 0.946730i | 0.0519216 | − | 0.998651i | \(-0.483465\pi\) |
−0.998651 | + | 0.0519216i | \(0.983465\pi\) | |||||||
\(504\) | −6.48970 | + | 15.7650i | −0.289074 | + | 0.702231i | ||||
\(505\) | 1.95732 | − | 0.782252i | 0.0870997 | − | 0.0348097i | ||||
\(506\) | −4.21402 | + | 7.29890i | −0.187336 | + | 0.324476i | ||||
\(507\) | −6.03421 | − | 5.78746i | −0.267988 | − | 0.257030i | ||||
\(508\) | −1.85222 | − | 0.496302i | −0.0821791 | − | 0.0220198i | ||||
\(509\) | 30.6984 | 1.36068 | 0.680342 | − | 0.732895i | \(-0.261831\pi\) | ||||
0.680342 | + | 0.732895i | \(0.261831\pi\) | |||||||
\(510\) | 3.61281 | + | 1.46113i | 0.159978 | + | 0.0647001i | ||||
\(511\) | 14.9407 | − | 1.36864i | 0.660939 | − | 0.0605449i | ||||
\(512\) | −1.89814 | − | 1.89814i | −0.0838869 | − | 0.0838869i | ||||
\(513\) | 5.29306 | − | 26.2205i | 0.233694 | − | 1.15766i | ||||
\(514\) | 16.0719 | − | 27.8374i | 0.708902 | − | 1.22785i | ||||
\(515\) | −9.87323 | + | 23.0186i | −0.435067 | + | 1.01432i | ||||
\(516\) | 6.97770 | + | 11.5235i | 0.307176 | + | 0.507293i | ||||
\(517\) | −1.84358 | − | 6.88034i | −0.0810807 | − | 0.302597i | ||||
\(518\) | 1.10964 | − | 6.44692i | 0.0487550 | − | 0.283262i | ||||
\(519\) | 12.1082 | + | 19.9964i | 0.531492 | + | 0.877744i | ||||
\(520\) | −13.5896 | − | 1.96209i | −0.595944 | − | 0.0860433i | ||||
\(521\) | 21.7818 | + | 12.5757i | 0.954279 | + | 0.550953i | 0.894407 | − | 0.447253i | \(-0.147598\pi\) |
0.0598711 | + | 0.998206i | \(0.480931\pi\) | |||||||
\(522\) | −7.12667 | + | 31.8607i | −0.311926 | + | 1.39450i | ||||
\(523\) | 0.360681 | − | 1.34608i | 0.0157715 | − | 0.0588600i | −0.957592 | − | 0.288129i | \(-0.906967\pi\) |
0.973363 | + | 0.229269i | \(0.0736335\pi\) | |||||||
\(524\) | 5.71184 | + | 9.89319i | 0.249523 | + | 0.432186i | ||||
\(525\) | −17.5518 | − | 14.7286i | −0.766025 | − | 0.642810i | ||||
\(526\) | 7.87472 | − | 13.6394i | 0.343354 | − | 0.594706i | ||||
\(527\) | −0.457851 | − | 0.457851i | −0.0199443 | − | 0.0199443i | ||||
\(528\) | −26.6870 | − | 6.55707i | −1.16140 | − | 0.285360i | ||||
\(529\) | 20.4776i | 0.890329i | ||||||||
\(530\) | 10.8136 | − | 13.7338i | 0.469711 | − | 0.596560i | ||||
\(531\) | −16.8233 | − | 8.79818i | −0.730068 | − | 0.381808i | ||||
\(532\) | 7.22924 | + | 6.01592i | 0.313427 | + | 0.260823i | ||||
\(533\) | 34.2546 | + | 9.17850i | 1.48373 | + | 0.397565i | ||||
\(534\) | −9.31762 | + | 16.9457i | −0.403213 | + | 0.733312i | ||||
\(535\) | −12.8643 | + | 1.53041i | −0.556174 | + | 0.0661653i | ||||
\(536\) | −14.9253 | − | 25.8513i | −0.644674 | − | 1.11661i | ||||
\(537\) | 7.85629 | − | 31.9748i | 0.339024 | − | 1.37982i | ||||
\(538\) | −8.41330 | + | 31.3989i | −0.362723 | + | 1.35370i | ||||
\(539\) | 21.3431 | + | 7.57144i | 0.919311 | + | 0.326125i | ||||
\(540\) | 1.44441 | + | 7.89202i | 0.0621573 | + | 0.339619i | ||||
\(541\) | 11.9496 | + | 20.6973i | 0.513753 | + | 0.889846i | 0.999873 | + | 0.0159536i | \(0.00507840\pi\) |
−0.486120 | + | 0.873892i | \(0.661588\pi\) | |||||||
\(542\) | −27.9705 | + | 27.9705i | −1.20144 | + | 1.20144i | ||||
\(543\) | −13.3837 | + | 3.88725i | −0.574351 | + | 0.166818i | ||||
\(544\) | −2.29948 | −0.0985896 | ||||||||
\(545\) | −2.47336 | + | 17.1307i | −0.105947 | + | 0.733799i | ||||
\(546\) | −12.7608 | − | 17.2896i | −0.546113 | − | 0.739927i | ||||
\(547\) | 1.75007 | − | 6.53134i | 0.0748275 | − | 0.279260i | −0.918367 | − | 0.395731i | \(-0.870491\pi\) |
0.993194 | + | 0.116471i | \(0.0371581\pi\) | |||||||
\(548\) | −1.56920 | − | 0.420466i | −0.0670329 | − | 0.0179614i | ||||
\(549\) | 36.0371 | − | 1.50504i | 1.53802 | − | 0.0642334i | ||||
\(550\) | 13.8364 | − | 22.6397i | 0.589984 | − | 0.965360i | ||||
\(551\) | −29.5787 | − | 17.0773i | −1.26010 | − | 0.727517i | ||||
\(552\) | 5.67416 | − | 1.64804i | 0.241508 | − | 0.0701452i | ||||
\(553\) | 1.51747 | + | 1.26279i | 0.0645293 | + | 0.0536991i | ||||
\(554\) | 16.9324 | + | 9.77592i | 0.719389 | + | 0.415339i | ||||
\(555\) | 2.27925 | + | 5.37478i | 0.0967489 | + | 0.228147i | ||||
\(556\) | − | 14.1501i | − | 0.600097i | ||||||
\(557\) | −14.4738 | + | 3.87825i | −0.613276 | + | 0.164327i | −0.552069 | − | 0.833798i | \(-0.686162\pi\) |
−0.0612068 | + | 0.998125i | \(0.519495\pi\) | |||||||
\(558\) | 1.13379 | − | 5.06874i | 0.0479971 | − | 0.214577i | ||||
\(559\) | 32.2004 | 1.36193 | ||||||||
\(560\) | 27.5966 | + | 8.95696i | 1.16617 | + | 0.378501i | ||||
\(561\) | 2.94040 | − | 1.78047i | 0.124144 | − | 0.0751715i | ||||
\(562\) | 30.1269 | + | 30.1269i | 1.27083 | + | 1.27083i | ||||
\(563\) | 4.43860 | − | 16.5651i | 0.187065 | − | 0.698135i | −0.807114 | − | 0.590395i | \(-0.798972\pi\) |
0.994179 | − | 0.107740i | \(-0.0343614\pi\) | |||||||
\(564\) | 1.26879 | − | 2.30751i | 0.0534255 | − | 0.0971636i | ||||
\(565\) | 8.17271 | − | 6.11048i | 0.343829 | − | 0.257070i | ||||
\(566\) | 2.94494i | 0.123785i | ||||||||
\(567\) | 13.6521 | − | 19.5095i | 0.573335 | − | 0.819321i | ||||
\(568\) | −18.0185 | + | 18.0185i | −0.756039 | + | 0.756039i | ||||
\(569\) | −0.551686 | − | 0.318516i | −0.0231279 | − | 0.0133529i | 0.488391 | − | 0.872625i | \(-0.337584\pi\) |
−0.511519 | + | 0.859272i | \(0.670917\pi\) | |||||||
\(570\) | −32.4584 | − | 3.99686i | −1.35953 | − | 0.167410i | ||||
\(571\) | 20.9278 | + | 36.2479i | 0.875800 | + | 1.51693i | 0.855909 | + | 0.517127i | \(0.172999\pi\) |
0.0198911 | + | 0.999802i | \(0.493668\pi\) | |||||||
\(572\) | 4.51590 | − | 4.51590i | 0.188819 | − | 0.188819i | ||||
\(573\) | −13.8333 | − | 3.39887i | −0.577893 | − | 0.141990i | ||||
\(574\) | −48.8828 | − | 22.5519i | −2.04033 | − | 0.941298i | ||||
\(575\) | −0.198366 | + | 7.93862i | −0.00827241 | + | 0.331063i | ||||
\(576\) | 5.88185 | + | 9.27135i | 0.245077 | + | 0.386306i | ||||
\(577\) | 5.11792 | + | 19.1004i | 0.213062 | + | 0.795158i | 0.986840 | + | 0.161701i | \(0.0516980\pi\) |
−0.773778 | + | 0.633457i | \(0.781635\pi\) | |||||||
\(578\) | −19.2810 | + | 19.2810i | −0.801985 | + | 0.801985i | ||||
\(579\) | −0.312335 | − | 14.9638i | −0.0129802 | − | 0.621876i | ||||
\(580\) | 10.1391 | + | 1.46390i | 0.421002 | + | 0.0607850i | ||||
\(581\) | −10.5452 | + | 22.8574i | −0.437487 | + | 0.948284i | ||||
\(582\) | −3.34424 | − | 11.5141i | −0.138623 | − | 0.477276i | ||||
\(583\) | −3.99056 | − | 14.8930i | −0.165272 | − | 0.616804i | ||||
\(584\) | 6.09010 | − | 10.5484i | 0.252010 | − | 0.436494i | ||||
\(585\) | 17.9247 | + | 6.81762i | 0.741095 | + | 0.281874i | ||||
\(586\) | −4.94839 | + | 2.85695i | −0.204416 | + | 0.118020i | ||||
\(587\) | 40.7513 | + | 10.9193i | 1.68199 | + | 0.450687i | 0.968302 | − | 0.249781i | \(-0.0803586\pi\) |
0.713684 | + | 0.700468i | \(0.247025\pi\) | |||||||
\(588\) | 3.75700 | + | 7.48179i | 0.154936 | + | 0.308544i | ||||
\(589\) | 4.70571 | + | 2.71684i | 0.193895 | + | 0.111945i | ||||
\(590\) | −9.14960 | + | 21.3315i | −0.376683 | + | 0.878203i | ||||
\(591\) | 0.614269 | − | 1.11715i | 0.0252677 | − | 0.0459536i | ||||
\(592\) | −5.22733 | − | 5.22733i | −0.214842 | − | 0.214842i | ||||
\(593\) | −8.14981 | + | 30.4155i | −0.334673 | + | 1.24902i | 0.569551 | + | 0.821956i | \(0.307117\pi\) |
−0.904224 | + | 0.427059i | \(0.859549\pi\) | |||||||
\(594\) | 24.6955 | + | 12.2658i | 1.01327 | + | 0.503273i | ||||
\(595\) | −3.23311 | + | 1.64865i | −0.132545 | + | 0.0675881i | ||||
\(596\) | −3.90200 | − | 6.75846i | −0.159832 | − | 0.276837i | ||||
\(597\) | −36.0168 | − | 8.84942i | −1.47407 | − | 0.362183i | ||||
\(598\) | −1.92757 | + | 7.19378i | −0.0788241 | + | 0.294176i | ||||
\(599\) | 11.0203 | − | 6.36255i | 0.450276 | − | 0.259967i | −0.257671 | − | 0.966233i | \(-0.582955\pi\) |
0.707947 | + | 0.706266i | \(0.249622\pi\) | |||||||
\(600\) | −17.9873 | + | 4.74049i | −0.734329 | + | 0.193530i | ||||
\(601\) | −20.1556 | + | 11.6368i | −0.822162 | + | 0.474676i | −0.851162 | − | 0.524904i | \(-0.824101\pi\) |
0.0289993 | + | 0.999579i | \(0.490768\pi\) | |||||||
\(602\) | −48.1730 | − | 8.29154i | −1.96339 | − | 0.337938i | ||||
\(603\) | 12.4618 | + | 39.7864i | 0.507484 | + | 1.62023i | ||||
\(604\) | −4.52741 | + | 2.61390i | −0.184218 | + | 0.106358i | ||||
\(605\) | 0.442813 | + | 1.10799i | 0.0180029 | + | 0.0450462i | ||||
\(606\) | 2.29089 | − | 1.38718i | 0.0930610 | − | 0.0563503i | ||||
\(607\) | −0.708632 | + | 0.708632i | −0.0287625 | + | 0.0287625i | −0.721342 | − | 0.692579i | \(-0.756474\pi\) |
0.692579 | + | 0.721342i | \(0.256474\pi\) | |||||||
\(608\) | 18.6393 | − | 4.99438i | 0.755923 | − | 0.202549i | ||||
\(609\) | −18.0548 | − | 24.4624i | −0.731618 | − | 0.991267i | ||||
\(610\) | −5.20928 | − | 43.7883i | −0.210917 | − | 1.77294i | ||||
\(611\) | −3.14719 | − | 5.45109i | −0.127322 | − | 0.220528i | ||||
\(612\) | 1.24014 | + | 0.277399i | 0.0501299 | + | 0.0112132i | ||||
\(613\) | 4.49873 | + | 16.7895i | 0.181702 | + | 0.678121i | 0.995313 | + | 0.0967108i | \(0.0308322\pi\) |
−0.813611 | + | 0.581410i | \(0.802501\pi\) | |||||||
\(614\) | 7.16689 | − | 12.4134i | 0.289232 | − | 0.500965i | ||||
\(615\) | 47.5785 | − | 6.66983i | 1.91855 | − | 0.268953i | ||||
\(616\) | 15.0170 | − | 10.6066i | 0.605050 | − | 0.427353i | ||||
\(617\) | −9.69069 | + | 2.59661i | −0.390132 | + | 0.104536i | −0.448553 | − | 0.893756i | \(-0.648060\pi\) |
0.0584202 | + | 0.998292i | \(0.481394\pi\) | |||||||
\(618\) | −7.59319 | + | 30.9040i | −0.305443 | + | 1.24314i | ||||
\(619\) | −18.7103 | −0.752030 | −0.376015 | − | 0.926614i | \(-0.622706\pi\) | ||||
−0.376015 | + | 0.926614i | \(0.622706\pi\) | |||||||
\(620\) | −1.61303 | − | 0.232892i | −0.0647810 | − | 0.00935319i | ||||
\(621\) | −8.23646 | + | 0.516351i | −0.330518 | + | 0.0207205i | ||||
\(622\) | 26.7923 | − | 26.7923i | 1.07428 | − | 1.07428i | ||||
\(623\) | −6.22851 | − | 16.8977i | −0.249540 | − | 0.676992i | ||||
\(624\) | −24.2784 | + | 0.506756i | −0.971916 | + | 0.0202865i | ||||
\(625\) | 1.24859 | − | 24.9688i | 0.0499436 | − | 0.998752i | ||||
\(626\) | 23.7026 | − | 13.6847i | 0.947346 | − | 0.546951i | ||||
\(627\) | −19.9673 | + | 20.8187i | −0.797419 | + | 0.831417i | ||||
\(628\) | −3.31729 | + | 0.888866i | −0.132374 | + | 0.0354696i | ||||
\(629\) | 0.924702 | 0.0368703 | ||||||||
\(630\) | −25.0605 | − | 14.8150i | −0.998435 | − | 0.590244i | ||||
\(631\) | −44.0496 | −1.75359 | −0.876794 | − | 0.480866i | \(-0.840322\pi\) | ||||
−0.876794 | + | 0.480866i | \(0.840322\pi\) | |||||||
\(632\) | 1.54809 | − | 0.414809i | 0.0615797 | − | 0.0165002i | ||||
\(633\) | −20.9104 | − | 5.13774i | −0.831115 | − | 0.204207i | ||||
\(634\) | −23.5668 | + | 13.6063i | −0.935957 | + | 0.540375i | ||||
\(635\) | −2.44776 | + | 5.70673i | −0.0971362 | + | 0.226464i | ||||
\(636\) | 2.74637 | − | 4.99475i | 0.108901 | − | 0.198055i | ||||
\(637\) | 19.9491 | + | 1.58128i | 0.790411 | + | 0.0626526i | ||||
\(638\) | 24.8954 | − | 24.8954i | 0.985617 | − | 0.985617i | ||||
\(639\) | 30.0531 | − | 19.0660i | 1.18888 | − | 0.754241i | ||||
\(640\) | 24.1769 | − | 18.0763i | 0.955677 | − | 0.714530i | ||||
\(641\) | −0.905043 | −0.0357471 | −0.0178735 | − | 0.999840i | \(-0.505690\pi\) | ||||
−0.0178735 | + | 0.999840i | \(0.505690\pi\) | |||||||
\(642\) | −15.8069 | + | 4.59105i | −0.623848 | + | 0.181194i | ||||
\(643\) | −7.20229 | + | 1.92985i | −0.284030 | + | 0.0761057i | −0.398022 | − | 0.917376i | \(-0.630303\pi\) |
0.113991 | + | 0.993482i | \(0.463636\pi\) | |||||||
\(644\) | 1.21552 | − | 2.63472i | 0.0478980 | − | 0.103822i | ||||
\(645\) | 40.1617 | − | 17.0311i | 1.58137 | − | 0.670600i | ||||
\(646\) | −2.58998 | + | 4.48598i | −0.101901 | + | 0.176498i | ||||
\(647\) | −9.43207 | − | 35.2010i | −0.370813 | − | 1.38389i | −0.859367 | − | 0.511359i | \(-0.829142\pi\) |
0.488554 | − | 0.872534i | \(-0.337525\pi\) | |||||||
\(648\) | −6.54282 | − | 18.1903i | −0.257026 | − | 0.714584i | ||||
\(649\) | 10.2366 | + | 17.7304i | 0.401824 | + | 0.695979i | ||||
\(650\) | 6.63216 | − | 22.4887i | 0.260135 | − | 0.882078i | ||||
\(651\) | 2.87236 | + | 3.89175i | 0.112577 | + | 0.152530i | ||||
\(652\) | −11.7550 | + | 3.14974i | −0.460361 | + | 0.123353i | ||||
\(653\) | 13.2187 | − | 13.2187i | 0.517287 | − | 0.517287i | −0.399462 | − | 0.916750i | \(-0.630803\pi\) |
0.916750 | + | 0.399462i | \(0.130803\pi\) | |||||||
\(654\) | 0.458915 | + | 21.9864i | 0.0179450 | + | 0.859737i | ||||
\(655\) | 34.3509 | − | 13.7285i | 1.34220 | − | 0.536415i | ||||
\(656\) | −52.6855 | + | 30.4180i | −2.05702 | + | 1.18762i | ||||
\(657\) | −11.5170 | + | 12.5209i | −0.449320 | + | 0.488486i | ||||
\(658\) | 3.30467 | + | 8.96544i | 0.128829 | + | 0.349509i | ||||
\(659\) | −19.9659 | + | 11.5273i | −0.777761 | + | 0.449041i | −0.835636 | − | 0.549283i | \(-0.814901\pi\) |
0.0578751 | + | 0.998324i | \(0.481567\pi\) | |||||||
\(660\) | 3.24391 | − | 8.02093i | 0.126269 | − | 0.312214i | ||||
\(661\) | −39.5327 | + | 22.8242i | −1.53764 | + | 0.887759i | −0.538667 | + | 0.842519i | \(0.681072\pi\) |
−0.998976 | + | 0.0452402i | \(0.985595\pi\) | |||||||
\(662\) | −12.2442 | + | 45.6960i | −0.475885 | + | 1.77603i | ||||
\(663\) | 2.10258 | − | 2.19222i | 0.0816573 | − | 0.0851388i | ||||
\(664\) | 10.2180 | + | 17.6981i | 0.396536 | + | 0.686820i | ||||
\(665\) | 22.6264 | − | 20.3859i | 0.877413 | − | 0.790532i | ||||
\(666\) | 3.97363 | + | 6.26349i | 0.153975 | + | 0.242705i | ||||
\(667\) | −2.72724 | + | 10.1782i | −0.105599 | + | 0.394102i | ||||
\(668\) | 1.85132 | + | 1.85132i | 0.0716297 | + | 0.0716297i | ||||
\(669\) | 18.0046 | − | 0.375805i | 0.696099 | − | 0.0145294i | ||||
\(670\) | 47.3327 | − | 18.9167i | 1.82862 | − | 0.730816i | ||||
\(671\) | −33.6849 | − | 19.4480i | −1.30039 | − | 0.750782i | ||||
\(672\) | 16.9858 | + | 2.55987i | 0.655243 | + | 0.0987490i | ||||
\(673\) | −37.8541 | − | 10.1430i | −1.45917 | − | 0.390983i | −0.559966 | − | 0.828516i | \(-0.689186\pi\) |
−0.899203 | + | 0.437533i | \(0.855852\pi\) | |||||||
\(674\) | −32.0127 | + | 18.4826i | −1.23308 | + | 0.711922i | ||||
\(675\) | 25.9624 | − | 0.977341i | 0.999292 | − | 0.0376179i | ||||
\(676\) | −1.66665 | + | 2.88672i | −0.0641018 | + | 0.111028i | ||||
\(677\) | 7.83364 | + | 29.2355i | 0.301071 | + | 1.12361i | 0.936275 | + | 0.351269i | \(0.114250\pi\) |
−0.635203 | + | 0.772345i | \(0.719084\pi\) | |||||||
\(678\) | 8.97457 | − | 9.35721i | 0.344666 | − | 0.359361i | ||||
\(679\) | 10.1388 | + | 4.67750i | 0.389091 | + | 0.179506i | ||||
\(680\) | −0.421028 | + | 2.91607i | −0.0161457 | + | 0.111826i | ||||
\(681\) | 15.5009 | + | 8.52319i | 0.593996 | + | 0.326609i | ||||
\(682\) | −3.96063 | + | 3.96063i | −0.151660 | + | 0.151660i | ||||
\(683\) | −4.52965 | − | 16.9049i | −0.173322 | − | 0.646848i | −0.996831 | − | 0.0795447i | \(-0.974653\pi\) |
0.823509 | − | 0.567303i | \(-0.192013\pi\) | |||||||
\(684\) | −10.6549 | + | 0.444988i | −0.407401 | + | 0.0170145i | ||||
\(685\) | −2.07373 | + | 4.83473i | −0.0792333 | + | 0.184725i | ||||
\(686\) | −29.4374 | − | 7.50251i | −1.12393 | − | 0.286447i | ||||
\(687\) | 5.56641 | + | 19.1650i | 0.212372 | + | 0.731191i | ||||
\(688\) | −39.0599 | + | 39.0599i | −1.48915 | + | 1.48915i | ||||
\(689\) | −6.81230 | − | 11.7993i | −0.259528 | − | 0.449516i | ||||
\(690\) | 1.40072 | + | 9.99190i | 0.0533246 | + | 0.380385i | ||||
\(691\) | 4.37522 | + | 2.52603i | 0.166441 | + | 0.0960949i | 0.580907 | − | 0.813970i | \(-0.302698\pi\) |
−0.414465 | + | 0.910065i | \(0.636031\pi\) | |||||||
\(692\) | 6.58994 | − | 6.58994i | 0.250512 | − | 0.250512i | ||||
\(693\) | −23.7022 | + | 9.87862i | −0.900373 | + | 0.375258i | ||||
\(694\) | 31.7157i | 1.20391i | ||||||||
\(695\) | −45.3511 | − | 6.54787i | −1.72026 | − | 0.248375i | ||||
\(696\) | −24.6775 | + | 0.515085i | −0.935396 | + | 0.0195242i | ||||
\(697\) | 1.96953 | − | 7.35040i | 0.0746014 | − | 0.278416i | ||||
\(698\) | −30.9730 | − | 30.9730i | −1.17235 | − | 1.17235i | ||||
\(699\) | −0.708496 | − | 33.9437i | −0.0267978 | − | 1.28387i | ||||
\(700\) | −4.03266 | + | 8.19638i | −0.152420 | + | 0.309794i | ||||
\(701\) | 35.2585 | 1.33170 | 0.665849 | − | 0.746087i | \(-0.268070\pi\) | ||||
0.665849 | + | 0.746087i | \(0.268070\pi\) | |||||||
\(702\) | 23.8842 | + | 4.82145i | 0.901453 | + | 0.181974i | ||||
\(703\) | −7.49550 | + | 2.00841i | −0.282698 | + | 0.0757487i | ||||
\(704\) | − | 11.8404i | − | 0.446254i | ||||||
\(705\) | −6.80845 | − | 5.13425i | −0.256421 | − | 0.193367i | ||||
\(706\) | 2.75293 | + | 1.58941i | 0.103608 | + | 0.0598181i | ||||
\(707\) | −0.423054 | + | 2.45790i | −0.0159106 | + | 0.0924388i | ||||
\(708\) | −1.80595 | + | 7.35017i | −0.0678719 | + | 0.276236i | ||||
\(709\) | 4.98876 | + | 2.88026i | 0.187357 | + | 0.108170i | 0.590745 | − | 0.806859i | \(-0.298834\pi\) |
−0.403388 | + | 0.915029i | \(0.632167\pi\) | |||||||
\(710\) | −26.0558 | − | 34.8494i | −0.977857 | − | 1.30787i | ||||
\(711\) | −2.23655 | + | 0.0934061i | −0.0838770 | + | 0.00350300i | ||||
\(712\) | −14.1222 | − | 3.78404i | −0.529253 | − | 0.141813i | ||||
\(713\) | 0.433880 | − | 1.61926i | 0.0162489 | − | 0.0606418i | ||||
\(714\) | −3.71003 | + | 2.73823i | −0.138844 | + | 0.102476i | ||||
\(715\) | −12.3838 | − | 16.5632i | −0.463127 | − | 0.619428i | ||||
\(716\) | −13.1266 | −0.490564 | ||||||||
\(717\) | 11.2820 | − | 45.9175i | 0.421335 | − | 1.71482i | ||||
\(718\) | 29.8129 | − | 29.8129i | 1.11261 | − | 1.11261i | ||||
\(719\) | −2.89413 | − | 5.01279i | −0.107933 | − | 0.186945i | 0.807000 | − | 0.590552i | \(-0.201090\pi\) |
−0.914933 | + | 0.403606i | \(0.867757\pi\) | |||||||
\(720\) | −30.0131 | + | 13.4732i | −1.11852 | + | 0.502116i | ||||
\(721\) | −17.0973 | − | 24.2065i | −0.636735 | − | 0.901496i | ||||
\(722\) | 3.18448 | − | 11.8846i | 0.118514 | − | 0.442300i | ||||
\(723\) | −2.64688 | + | 0.768777i | −0.0984386 | + | 0.0285911i | ||||
\(724\) | 2.77811 | + | 4.81182i | 0.103248 | + | 0.178830i | ||||
\(725\) | 9.38359 | − | 31.8184i | 0.348498 | − | 1.18170i | ||||
\(726\) | 0.785246 | + | 1.29681i | 0.0291432 | + | 0.0481293i | ||||
\(727\) | 12.8969 | + | 3.45571i | 0.478318 | + | 0.128165i | 0.489920 | − | 0.871768i | \(-0.337026\pi\) |
−0.0116011 | + | 0.999933i | \(0.503693\pi\) | |||||||
\(728\) | 10.3919 | − | 12.4878i | 0.385151 | − | 0.462829i | ||||
\(729\) | 3.37205 | + | 26.7886i | 0.124891 | + | 0.992170i | ||||
\(730\) | 16.3414 | + | 12.8667i | 0.604824 | + | 0.476218i | ||||
\(731\) | − | 6.90960i | − | 0.255561i | ||||||
\(732\) | −4.01072 | − | 13.8088i | −0.148240 | − | 0.510389i | ||||
\(733\) | −24.0302 | − | 24.0302i | −0.887576 | − | 0.887576i | 0.106714 | − | 0.994290i | \(-0.465967\pi\) |
−0.994290 | + | 0.106714i | \(0.965967\pi\) | |||||||
\(734\) | −0.153689 | + | 0.266197i | −0.00567275 | + | 0.00982550i | ||||
\(735\) | 25.7177 | − | 8.57904i | 0.948612 | − | 0.316443i | ||||
\(736\) | −2.97670 | − | 5.15579i | −0.109722 | − | 0.190045i | ||||
\(737\) | 11.6367 | − | 43.4288i | 0.428644 | − | 1.59972i | ||||
\(738\) | 58.2516 | − | 18.2454i | 2.14427 | − | 0.671624i | ||||
\(739\) | 27.9821 | + | 16.1555i | 1.02934 | + | 0.594289i | 0.916795 | − | 0.399357i | \(-0.130767\pi\) |
0.112544 | + | 0.993647i | \(0.464100\pi\) | |||||||
\(740\) | 1.86407 | − | 1.39371i | 0.0685245 | − | 0.0512336i | ||||
\(741\) | −12.2818 | + | 22.3365i | −0.451182 | + | 0.820553i | ||||
\(742\) | 7.15318 | + | 19.4063i | 0.262601 | + | 0.712427i | ||||
\(743\) | −5.80112 | − | 21.6501i | −0.212823 | − | 0.794264i | −0.986922 | − | 0.161200i | \(-0.948464\pi\) |
0.774099 | − | 0.633064i | \(-0.218203\pi\) | |||||||
\(744\) | 3.92596 | − | 0.0819452i | 0.143933 | − | 0.00300426i | ||||
\(745\) | −23.4665 | + | 9.37849i | −0.859747 | + | 0.343601i | ||||
\(746\) | 20.1085 | − | 34.8290i | 0.736225 | − | 1.27518i | ||||
\(747\) | −8.53149 | − | 27.2382i | −0.312151 | − | 0.996594i | ||||
\(748\) | −0.969027 | − | 0.969027i | −0.0354311 | − | 0.0354311i | ||||
\(749\) | 6.42138 | − | 13.9188i | 0.234632 | − | 0.508582i | ||||
\(750\) | −3.62259 | − | 31.5566i | −0.132278 | − | 1.15229i | ||||
\(751\) | −7.58200 | −0.276671 | −0.138336 | − | 0.990385i | \(-0.544175\pi\) | ||||
−0.138336 | + | 0.990385i | \(0.544175\pi\) | |||||||
\(752\) | 10.4299 | + | 2.79469i | 0.380341 | + | 0.101912i | ||||
\(753\) | −10.0124 | + | 2.90808i | −0.364874 | + | 0.105976i | ||||
\(754\) | 15.5557 | − | 26.9433i | 0.566506 | − | 0.981217i | ||||
\(755\) | 6.28253 | + | 15.7199i | 0.228645 | + | 0.572107i | ||||
\(756\) | −8.85189 | − | 3.42966i | −0.321940 | − | 0.124735i | ||||
\(757\) | 11.7225 | + | 11.7225i | 0.426062 | + | 0.426062i | 0.887284 | − | 0.461223i | \(-0.152589\pi\) |
−0.461223 | + | 0.887284i | \(0.652589\pi\) | |||||||
\(758\) | 0.940092 | + | 3.50847i | 0.0341457 | + | 0.127433i | ||||
\(759\) | 7.79844 | + | 4.28798i | 0.283066 | + | 0.155644i | ||||
\(760\) | −2.92080 | − | 24.5517i | −0.105949 | − | 0.890585i | ||||
\(761\) | − | 25.0513i | − | 0.908110i | −0.890974 | − | 0.454055i | \(-0.849977\pi\) | ||
0.890974 | − | 0.454055i | \(-0.150023\pi\) | |||||||
\(762\) | −1.88249 | + | 7.66167i | −0.0681954 | + | 0.277553i | ||||
\(763\) | −15.7418 | − | 13.0998i | −0.569892 | − | 0.474245i | ||||
\(764\) | 5.67896i | 0.205457i | ||||||||
\(765\) | 1.46293 | − | 3.84631i | 0.0528925 | − | 0.139063i | ||||
\(766\) | −18.5361 | − | 10.7018i | −0.669736 | − | 0.386672i | ||||
\(767\) | 12.7926 | + | 12.7926i | 0.461915 | + | 0.461915i | ||||
\(768\) | 17.7732 | − | 18.5309i | 0.641334 | − | 0.668677i | ||||
\(769\) | −10.6192 | + | 18.3930i | −0.382938 | + | 0.663268i | −0.991481 | − | 0.130253i | \(-0.958421\pi\) |
0.608543 | + | 0.793521i | \(0.291754\pi\) | |||||||
\(770\) | 14.2616 | + | 27.9680i | 0.513953 | + | 1.00790i | ||||
\(771\) | −29.7426 | − | 16.3540i | −1.07115 | − | 0.588975i | ||||
\(772\) | −5.76364 | + | 1.54436i | −0.207438 | + | 0.0555828i | ||||
\(773\) | −16.6109 | + | 4.45087i | −0.597452 | + | 0.160087i | −0.544857 | − | 0.838529i | \(-0.683416\pi\) |
−0.0525953 | + | 0.998616i | \(0.516749\pi\) | |||||||
\(774\) | 46.8024 | − | 29.6919i | 1.68228 | − | 1.06725i | ||||
\(775\) | −1.49284 | + | 5.06201i | −0.0536245 | + | 0.181833i | ||||
\(776\) | 7.85031 | − | 4.53238i | 0.281810 | − | 0.162703i | ||||
\(777\) | −6.83059 | − | 1.02941i | −0.245046 | − | 0.0369299i | ||||
\(778\) | −1.26917 | − | 4.73659i | −0.0455018 | − | 0.169815i | ||||
\(779\) | 63.8590i | 2.28799i | ||||||||
\(780\) | 0.934395 | − | 7.58820i | 0.0334567 | − | 0.271701i | ||||
\(781\) | −38.3809 | −1.37338 | ||||||||
\(782\) | 1.54365 | + | 0.413620i | 0.0552008 | + | 0.0147910i | ||||
\(783\) | 33.7929 | + | 6.82169i | 1.20766 | + | 0.243787i | ||||
\(784\) | −26.1169 | + | 22.2806i | −0.932746 | + | 0.795737i | ||||
\(785\) | 1.31376 | + | 11.0433i | 0.0468902 | + | 0.394151i | ||||
\(786\) | 40.2049 | − | 24.3449i | 1.43406 | − | 0.868353i | ||||
\(787\) | 21.9319 | + | 5.87662i | 0.781786 | + | 0.209479i | 0.627572 | − | 0.778558i | \(-0.284049\pi\) |
0.154214 | + | 0.988037i | \(0.450715\pi\) | |||||||
\(788\) | −0.490946 | − | 0.131549i | −0.0174892 | − | 0.00468623i | ||||
\(789\) | −14.5729 | − | 8.01293i | −0.518809 | − | 0.285268i | ||||
\(790\) | 0.323300 | + | 2.71761i | 0.0115025 | + | 0.0966881i | ||||
\(791\) | 1.10143 | + | 12.0238i | 0.0391623 | + | 0.427515i | ||||
\(792\) | −4.55058 | + | 20.3439i | −0.161698 | + | 0.722890i | ||||
\(793\) | −33.1998 | − | 8.89585i | −1.17896 | − | 0.315901i | ||||
\(794\) | 29.8725 | 1.06013 | ||||||||
\(795\) | −14.7373 | − | 11.1134i | −0.522680 | − | 0.394153i | ||||
\(796\) | 14.7860i | 0.524074i | ||||||||
\(797\) | 9.46703 | + | 35.3315i | 0.335340 | + | 1.25150i | 0.903501 | + | 0.428587i | \(0.140988\pi\) |
−0.568161 | + | 0.822917i | \(0.692345\pi\) | |||||||
\(798\) | 24.1256 | − | 30.2538i | 0.854037 | − | 1.07097i | ||||
\(799\) | −1.16970 | + | 0.675328i | −0.0413811 | + | 0.0238914i | ||||
\(800\) | 8.96279 | + | 16.4604i | 0.316883 | + | 0.581962i | ||||
\(801\) | 18.0952 | + | 9.46337i | 0.639363 | + | 0.334372i | ||||
\(802\) | −10.7813 | + | 2.88885i | −0.380702 | + | 0.102009i | ||||
\(803\) | 17.7206 | − | 4.74823i | 0.625348 | − | 0.167562i | ||||
\(804\) | 14.2181 | − | 8.60937i | 0.501435 | − | 0.303629i | ||||
\(805\) | −7.88181 | − | 5.11494i | −0.277797 | − | 0.180278i | ||||
\(806\) | −2.47477 | + | 4.28643i | −0.0871701 | + | 0.150983i | ||||
\(807\) | 33.3338 | + | 8.19018i | 1.17340 | + | 0.288308i | ||||
\(808\) | 1.43172 | + | 1.43172i | 0.0503676 | + | 0.0503676i | ||||
\(809\) | 19.4681 | + | 11.2399i | 0.684463 | + | 0.395175i | 0.801534 | − | 0.597949i | \(-0.204017\pi\) |
−0.117072 | + | 0.993123i | \(0.537351\pi\) | |||||||
\(810\) | 32.3396 | − | 6.61912i | 1.13630 | − | 0.232572i | ||||
\(811\) | − | 40.2228i | − | 1.41241i | −0.708006 | − | 0.706206i | \(-0.750405\pi\) | ||
0.708006 | − | 0.706206i | \(-0.249595\pi\) | |||||||
\(812\) | −7.75332 | + | 9.31704i | −0.272088 | + | 0.326964i | ||||
\(813\) | 30.1453 | + | 28.9126i | 1.05724 | + | 1.01401i | ||||
\(814\) | − | 7.99911i | − | 0.280369i | ||||||
\(815\) | 4.65538 | + | 39.1323i | 0.163071 | + | 1.37075i | ||||
\(816\) | 0.108740 | + | 5.20970i | 0.00380668 | + | 0.182376i | ||||
\(817\) | 15.0074 | + | 56.0082i | 0.525041 | + | 1.95948i | ||||
\(818\) | 7.69042 | + | 7.69042i | 0.268889 | + | 0.268889i | ||||
\(819\) | −17.9718 | + | 13.8528i | −0.627984 | + | 0.484057i | ||||
\(820\) | −7.10818 | − | 17.7858i | −0.248228 | − | 0.621109i | ||||
\(821\) | −2.00190 | + | 3.46740i | −0.0698669 | + | 0.121013i | −0.898843 | − | 0.438272i | \(-0.855591\pi\) |
0.828976 | + | 0.559285i | \(0.188924\pi\) | |||||||
\(822\) | −1.59484 | + | 6.49095i | −0.0556265 | + | 0.226398i | ||||
\(823\) | 23.5830 | + | 6.31906i | 0.822053 | + | 0.220268i | 0.645244 | − | 0.763977i | \(-0.276756\pi\) |
0.176809 | + | 0.984245i | \(0.443422\pi\) | |||||||
\(824\) | −24.0592 | −0.838143 | ||||||||
\(825\) | −24.2060 | − | 14.1084i | −0.842746 | − | 0.491192i | ||||
\(826\) | −15.8442 | − | 22.4323i | −0.551289 | − | 0.780520i | ||||
\(827\) | −16.2705 | − | 16.2705i | −0.565781 | − | 0.565781i | 0.365163 | − | 0.930944i | \(-0.381013\pi\) |
−0.930944 | + | 0.365163i | \(0.881013\pi\) | |||||||
\(828\) | 0.983405 | + | 3.13968i | 0.0341757 | + | 0.109112i | ||||
\(829\) | 5.14337 | − | 8.90858i | 0.178637 | − | 0.309408i | −0.762777 | − | 0.646661i | \(-0.776165\pi\) |
0.941414 | + | 0.337254i | \(0.109498\pi\) | |||||||
\(830\) | −32.4045 | + | 12.9506i | −1.12478 | + | 0.449521i | ||||
\(831\) | 9.94750 | − | 18.0913i | 0.345075 | − | 0.627579i | ||||
\(832\) | −2.70801 | − | 10.1064i | −0.0938835 | − | 0.350378i | ||||
\(833\) | 0.339313 | − | 4.28070i | 0.0117565 | − | 0.148317i | ||||
\(834\) | −58.2059 | + | 1.21491i | −2.01551 | + | 0.0420690i | ||||
\(835\) | 6.79018 | − | 5.07680i | 0.234984 | − | 0.175690i | ||||
\(836\) | 9.95948 | + | 5.75011i | 0.344456 | + | 0.198872i | ||||
\(837\) | −5.37615 | − | 1.08527i | −0.185827 | − | 0.0375124i | ||||
\(838\) | −0.856804 | + | 3.19764i | −0.0295978 | + | 0.110461i | ||||
\(839\) | 6.53587 | + | 11.3205i | 0.225643 | + | 0.390826i | 0.956512 | − | 0.291692i | \(-0.0942182\pi\) |
−0.730869 | + | 0.682518i | \(0.760885\pi\) | |||||||
\(840\) | 6.35632 | − | 21.0718i | 0.219314 | − | 0.727045i | ||||
\(841\) | 7.50921 | − | 13.0063i | 0.258938 | − | 0.448494i | ||||
\(842\) | −35.4854 | − | 35.4854i | −1.22291 | − | 1.22291i | ||||
\(843\) | 31.1417 | − | 32.4694i | 1.07258 | − | 1.11831i | ||||
\(844\) | 8.58434i | 0.295485i | ||||||||
\(845\) | 8.48071 | + | 6.67742i | 0.291745 | + | 0.229710i | ||||
\(846\) | −9.60079 | − | 5.02099i | −0.330082 | − | 0.172625i | ||||
\(847\) | −1.39135 | − | 0.239480i | −0.0478075 | − | 0.00822862i | ||||
\(848\) | 22.5763 | + | 6.04930i | 0.775274 | + | 0.207734i | ||||
\(849\) | 3.10902 | − | 0.0648936i | 0.106701 | − | 0.00222714i | ||||
\(850\) | −4.82565 | − | 1.42314i | −0.165518 | − | 0.0488132i | ||||
\(851\) | 1.19703 | + | 2.07332i | 0.0410337 | + | 0.0710725i | ||||
\(852\) | −10.2404 | − | 9.82161i | −0.350829 | − | 0.336483i | ||||
\(853\) | −4.97573 | + | 18.5697i | −0.170366 | + | 0.635814i | 0.826929 | + | 0.562307i | \(0.190086\pi\) |
−0.997295 | + | 0.0735073i | \(0.976581\pi\) | |||||||
\(854\) | 47.3775 | + | 21.8574i | 1.62122 | + | 0.747945i | ||||
\(855\) | −3.50432 | + | 34.3550i | −0.119845 | + | 1.17492i | ||||
\(856\) | −6.22217 | − | 10.7771i | −0.212669 | − | 0.368354i | ||||
\(857\) | −29.4891 | + | 29.4891i | −1.00733 | + | 1.00733i | −0.00735509 | + | 0.999973i | \(0.502341\pi\) |
−0.999973 | + | 0.00735509i | \(0.997659\pi\) | |||||||
\(858\) | −18.9637 | − | 18.1883i | −0.647411 | − | 0.620937i | ||||
\(859\) | 11.9670 | 0.408310 | 0.204155 | − | 0.978939i | \(-0.434555\pi\) | ||||
0.204155 | + | 0.978939i | \(0.434555\pi\) | |||||||
\(860\) | −10.4141 | − | 13.9288i | −0.355118 | − | 0.474968i | ||||
\(861\) | −22.7313 | + | 52.1034i | −0.774680 | + | 1.77568i | ||||
\(862\) | −11.7484 | + | 43.8457i | −0.400153 | + | 1.49339i | ||||
\(863\) | 38.1648 | + | 10.2262i | 1.29914 | + | 0.348105i | 0.841127 | − | 0.540838i | \(-0.181893\pi\) |
0.458018 | + | 0.888943i | \(0.348560\pi\) | |||||||
\(864\) | −16.2257 | + | 10.7751i | −0.552010 | + | 0.366577i | ||||
\(865\) | −18.0713 | − | 24.1703i | −0.614444 | − | 0.821813i | ||||
\(866\) | 32.8937 | + | 18.9912i | 1.11777 | + | 0.645347i | ||||
\(867\) | 20.7802 | + | 19.9305i | 0.705733 | + | 0.676874i | ||||
\(868\) | 1.23348 | − | 1.48226i | 0.0418671 | − | 0.0503110i | ||||
\(869\) | 2.09057 | + | 1.20699i | 0.0709176 | + | 0.0409443i | ||||
\(870\) | 5.15116 | − | 41.8324i | 0.174641 | − | 1.41825i | ||||
\(871\) | − | 39.7302i | − | 1.34620i | ||||||
\(872\) | −16.0595 | + | 4.30312i | −0.543842 | + | 0.145722i | ||||
\(873\) | −12.0820 | + | 3.78429i | −0.408913 | + | 0.128079i | ||||
\(874\) | −13.4110 | −0.453633 | ||||||||
\(875\) | 24.4034 | + | 16.7175i | 0.824984 | + | 0.565156i | ||||
\(876\) | 5.94309 | + | 3.26782i | 0.200798 | + | 0.110409i | ||||
\(877\) | −15.7830 | − | 15.7830i | −0.532955 | − | 0.532955i | 0.388496 | − | 0.921450i | \(-0.372995\pi\) |
−0.921450 | + | 0.388496i | \(0.872995\pi\) | |||||||
\(878\) | −12.1911 | + | 45.4979i | −0.411431 | + | 1.53548i | ||||
\(879\) | 3.12518 | + | 5.16115i | 0.105410 | + | 0.174081i | ||||
\(880\) | 35.1134 | + | 5.06974i | 1.18367 | + | 0.170901i | ||||
\(881\) | 5.28789i | 0.178153i | 0.996025 | + | 0.0890767i | \(0.0283916\pi\) | ||||
−0.996025 | + | 0.0890767i | \(0.971608\pi\) | |||||||
\(882\) | 30.4535 | − | 16.0967i | 1.02542 | − | 0.542003i | ||||
\(883\) | 10.6939 | − | 10.6939i | 0.359877 | − | 0.359877i | −0.503891 | − | 0.863767i | \(-0.668099\pi\) |
0.863767 | + | 0.503891i | \(0.168099\pi\) | |||||||
\(884\) | −1.04874 | − | 0.605491i | −0.0352730 | − | 0.0203649i | ||||
\(885\) | 22.7217 | + | 9.18934i | 0.763780 | + | 0.308896i | ||||
\(886\) | −16.8095 | − | 29.1148i | −0.564725 | − | 0.978132i | ||||
\(887\) | −4.15723 | + | 4.15723i | −0.139586 | + | 0.139586i | −0.773447 | − | 0.633861i | \(-0.781469\pi\) |
0.633861 | + | 0.773447i | \(0.281469\pi\) | |||||||
\(888\) | −3.88179 | + | 4.04729i | −0.130264 | + | 0.135818i | ||||
\(889\) | −4.23873 | − | 6.00123i | −0.142162 | − | 0.201275i | ||||
\(890\) | 9.84136 | − | 22.9443i | 0.329883 | − | 0.769093i | ||||
\(891\) | 12.4051 | − | 26.3418i | 0.415586 | − | 0.882484i | ||||
\(892\) | −1.85819 | − | 6.93486i | −0.0622168 | − | 0.232196i | ||||
\(893\) | 8.01465 | − | 8.01465i | 0.268200 | − | 0.268200i | ||||
\(894\) | −27.4657 | + | 16.6310i | −0.918589 | + | 0.556224i | ||||
\(895\) | −6.07426 | + | 42.0709i | −0.203040 | + | 1.40627i | ||||
\(896\) | 3.25830 | + | 35.5693i | 0.108852 | + | 1.18829i | ||||
\(897\) | 7.63708 | + | 1.87645i | 0.254995 | + | 0.0626528i | ||||
\(898\) | −12.0315 | − | 44.9021i | −0.401495 | − | 1.49840i | ||||
\(899\) | −3.50146 | + | 6.06471i | −0.116780 | + | 0.202269i | ||||
\(900\) | −2.84806 | − | 9.95854i | −0.0949354 | − | 0.331951i | ||||
\(901\) | −2.53190 | + | 1.46179i | −0.0843498 | + | 0.0486994i | ||||
\(902\) | −63.5844 | − | 17.0374i | −2.11713 | − | 0.567283i | ||||
\(903\) | −7.69201 | + | 51.0398i | −0.255974 | + | 1.69850i | ||||
\(904\) | 8.48894 | + | 4.90109i | 0.282338 | + | 0.163008i | ||||
\(905\) | 16.7075 | − | 6.67721i | 0.555375 | − | 0.221958i | ||||
\(906\) | 11.1409 | + | 18.3989i | 0.370132 | + | 0.611263i | ||||
\(907\) | −39.3700 | − | 39.3700i | −1.30726 | − | 1.30726i | −0.923385 | − | 0.383874i | \(-0.874590\pi\) |
−0.383874 | − | 0.923385i | \(-0.625410\pi\) | |||||||
\(908\) | 1.82528 | − | 6.81205i | 0.0605741 | − | 0.226066i | ||||
\(909\) | −1.51495 | − | 2.38797i | −0.0502478 | − | 0.0792038i | ||||
\(910\) | 18.5696 | + | 20.6104i | 0.615575 | + | 0.683227i | ||||
\(911\) | 11.3140 | + | 19.5965i | 0.374851 | + | 0.649261i | 0.990305 | − | 0.138912i | \(-0.0443606\pi\) |
−0.615454 | + | 0.788173i | \(0.711027\pi\) | |||||||
\(912\) | −12.1967 | − | 41.9929i | −0.403873 | − | 1.39052i | ||||
\(913\) | −7.96662 | + | 29.7318i | −0.263657 | + | 0.983980i | ||||
\(914\) | 27.8856 | − | 16.0997i | 0.922373 | − | 0.532532i | ||||
\(915\) | −46.1133 | + | 6.46443i | −1.52446 | + | 0.213708i | ||||
\(916\) | 6.89036 | − | 3.97815i | 0.227664 | − | 0.131442i | ||||
\(917\) | −7.42456 | + | 43.1359i | −0.245180 | + | 1.42447i | ||||
\(918\) | 1.03459 | − | 5.12511i | 0.0341466 | − | 0.169154i | ||||
\(919\) | 2.68112 | − | 1.54795i | 0.0884421 | − | 0.0510620i | −0.455127 | − | 0.890427i | \(-0.650406\pi\) |
0.543569 | + | 0.839365i | \(0.317073\pi\) | |||||||
\(920\) | −7.08330 | + | 2.83087i | −0.233529 | + | 0.0933309i | ||||
\(921\) | −13.2630 | − | 7.29268i | −0.437031 | − | 0.240302i | ||||
\(922\) | −30.1221 | + | 30.1221i | −0.992019 | + | 0.992019i | ||||
\(923\) | −32.7601 | + | 8.77804i | −1.07831 | + | 0.288933i | ||||
\(924\) | 6.07925 | + | 8.23676i | 0.199993 | + | 0.270970i | ||||
\(925\) | −3.60425 | − | 6.61928i | −0.118507 | − | 0.217641i | ||||
\(926\) | 21.9809 | + | 38.0720i | 0.722336 | + | 1.25112i | ||||
\(927\) | 32.7932 | + | 7.33528i | 1.07707 | + | 0.240922i | ||||
\(928\) | 6.43676 | + | 24.0223i | 0.211297 | + | 0.788571i | ||||
\(929\) | −3.69881 | + | 6.40653i | −0.121354 | + | 0.210191i | −0.920302 | − | 0.391209i | \(-0.872057\pi\) |
0.798948 | + | 0.601400i | \(0.205390\pi\) | |||||||
\(930\) | −0.819502 | + | 6.65516i | −0.0268725 | + | 0.218231i | ||||
\(931\) | 6.54707 | + | 35.4357i | 0.214572 | + | 1.16136i | ||||
\(932\) | −13.0741 | + | 3.50321i | −0.428258 | + | 0.114751i | ||||
\(933\) | −28.8756 | − | 27.6948i | −0.945343 | − | 0.906686i | ||||
\(934\) | 0.181615 | 0.00594263 | ||||||||
\(935\) | −3.55415 | + | 2.65733i | −0.116233 | + | 0.0869039i | ||||
\(936\) | 0.768674 | + | 18.4054i | 0.0251249 | + | 0.601599i | ||||
\(937\) | −10.0610 | + | 10.0610i | −0.328678 | + | 0.328678i | −0.852084 | − | 0.523405i | \(-0.824661\pi\) |
0.523405 | + | 0.852084i | \(0.324661\pi\) | |||||||
\(938\) | −10.2304 | + | 59.4378i | −0.334036 | + | 1.94071i | ||||
\(939\) | −14.9695 | − | 24.7217i | −0.488511 | − | 0.806762i | ||||
\(940\) | −1.34010 | + | 3.12433i | −0.0437094 | + | 0.101905i | ||||
\(941\) | −15.3516 | + | 8.86327i | −0.500449 | + | 0.288934i | −0.728899 | − | 0.684621i | \(-0.759968\pi\) |
0.228450 | + | 0.973556i | \(0.426634\pi\) | |||||||
\(942\) | 3.94114 | + | 13.5693i | 0.128409 | + | 0.442110i | ||||
\(943\) | 19.0303 | − | 5.09915i | 0.619711 | − | 0.166051i | ||||
\(944\) | −31.0356 | −1.01012 | ||||||||
\(945\) | −15.0882 | + | 26.7833i | −0.490820 | + | 0.871261i | ||||
\(946\) | −59.7713 | −1.94333 | ||||||||
\(947\) | 37.5559 | − | 10.0631i | 1.22040 | − | 0.327006i | 0.409567 | − | 0.912280i | \(-0.365680\pi\) |
0.810836 | + | 0.585274i | \(0.199013\pi\) | |||||||
\(948\) | 0.248915 | + | 0.857008i | 0.00808438 | + | 0.0278343i | ||||
\(949\) | 14.0395 | − | 8.10573i | 0.455743 | − | 0.263123i | ||||
\(950\) | 42.2070 | + | 1.05464i | 1.36938 | + | 0.0342171i | ||||
\(951\) | 14.8837 | + | 24.5801i | 0.482638 | + | 0.797063i | ||||
\(952\) | −2.67965 | − | 2.22991i | −0.0868480 | − | 0.0722719i | ||||
\(953\) | −12.6582 | + | 12.6582i | −0.410040 | + | 0.410040i | −0.881753 | − | 0.471712i | \(-0.843636\pi\) |
0.471712 | + | 0.881753i | \(0.343636\pi\) | |||||||
\(954\) | −20.7816 | − | 10.8683i | −0.672828 | − | 0.351873i | ||||
\(955\) | 18.2011 | + | 2.62791i | 0.588974 | + | 0.0850370i | ||||
\(956\) | −18.8505 | −0.609667 | ||||||||
\(957\) | −26.8311 | − | 25.7339i | −0.867326 | − | 0.831859i | ||||
\(958\) | 42.7704 | − | 11.4603i | 1.38185 | − | 0.370265i | ||||
\(959\) | −3.59104 | − | 5.08423i | −0.115961 | − | 0.164178i | ||||
\(960\) | −8.72296 | − | 11.1729i | −0.281532 | − | 0.360604i | ||||
\(961\) | −14.9429 | + | 25.8819i | −0.482031 | + | 0.834902i | ||||
\(962\) | −1.82947 | − | 6.82766i | −0.0589843 | − | 0.220133i | ||||
\(963\) | 5.19517 | + | 16.5865i | 0.167412 | + | 0.534491i | ||||
\(964\) | 0.549423 | + | 0.951628i | 0.0176957 | + | 0.0306499i | ||||
\(965\) | 2.28260 | + | 19.1871i | 0.0734795 | + | 0.617656i | ||||
\(966\) | −10.9422 | − | 4.77377i | −0.352059 | − | 0.153594i | ||||
\(967\) | −32.7342 | + | 8.77109i | −1.05266 | + | 0.282059i | −0.743351 | − | 0.668902i | \(-0.766765\pi\) |
−0.309309 | + | 0.950961i | \(0.600098\pi\) | |||||||
\(968\) | −0.810457 | + | 0.810457i | −0.0260491 | + | 0.0260491i | ||||
\(969\) | 4.79300 | + | 2.63544i | 0.153973 | + | 0.0846625i | ||||
\(970\) | 5.74446 | + | 14.3736i | 0.184443 | + | 0.461508i | ||||
\(971\) | −4.48631 | + | 2.59017i | −0.143973 | + | 0.0831226i | −0.570256 | − | 0.821467i | \(-0.693156\pi\) |
0.426283 | + | 0.904590i | \(0.359823\pi\) | |||||||
\(972\) | 10.0506 | − | 3.85379i | 0.322374 | − | 0.123610i | ||||
\(973\) | 34.6799 | − | 41.6742i | 1.11179 | − | 1.33601i | ||||
\(974\) | 9.56631 | − | 5.52311i | 0.306524 | − | 0.176972i | ||||
\(975\) | −23.8878 | − | 6.50613i | −0.765023 | − | 0.208363i | ||||
\(976\) | 51.0631 | − | 29.4813i | 1.63449 | − | 0.943673i | ||||
\(977\) | 2.88768 | − | 10.7770i | 0.0923849 | − | 0.344785i | −0.904225 | − | 0.427056i | \(-0.859551\pi\) |
0.996610 | + | 0.0822710i | \(0.0262173\pi\) | |||||||
\(978\) | 13.9656 | + | 48.0833i | 0.446571 | + | 1.53754i | ||||
\(979\) | −11.0106 | − | 19.0709i | −0.351900 | − | 0.609509i | ||||
\(980\) | −5.76784 | − | 9.14069i | −0.184247 | − | 0.291989i | ||||
\(981\) | 23.2013 | − | 0.968971i | 0.740762 | − | 0.0309369i | ||||
\(982\) | −11.4044 | + | 42.5619i | −0.363930 | + | 1.35820i | ||||
\(983\) | −1.36286 | − | 1.36286i | −0.0434685 | − | 0.0434685i | 0.685038 | − | 0.728507i | \(-0.259785\pi\) |
−0.728507 | + | 0.685038i | \(0.759785\pi\) | |||||||
\(984\) | 23.9038 | + | 39.4765i | 0.762026 | + | 1.25847i | ||||
\(985\) | −0.648797 | + | 1.51261i | −0.0206724 | + | 0.0481959i | ||||
\(986\) | −5.78153 | − | 3.33797i | −0.184121 | − | 0.106302i | ||||
\(987\) | 9.39215 | − | 3.68636i | 0.298955 | − | 0.117338i | ||||
\(988\) | 9.81604 | + | 2.63020i | 0.312290 | + | 0.0836778i | ||||
\(989\) | 15.4924 | − | 8.94452i | 0.492628 | − | 0.284419i | ||||
\(990\) | −33.2724 | − | 12.6551i | −1.05746 | − | 0.402204i | ||||
\(991\) | −11.2576 | + | 19.4987i | −0.357610 | + | 0.619398i | −0.987561 | − | 0.157237i | \(-0.949741\pi\) |
0.629951 | + | 0.776635i | \(0.283075\pi\) | |||||||
\(992\) | −1.02403 | − | 3.82173i | −0.0325130 | − | 0.121340i | ||||
\(993\) | 48.5119 | + | 11.9195i | 1.53948 | + | 0.378254i | ||||
\(994\) | 51.2707 | − | 4.69662i | 1.62621 | − | 0.148968i | ||||
\(995\) | 47.3891 | + | 6.84212i | 1.50234 | + | 0.216910i | ||||
\(996\) | −9.73389 | + | 5.89407i | −0.308430 | + | 0.186761i | ||||
\(997\) | 24.2293 | − | 24.2293i | 0.767349 | − | 0.767349i | −0.210290 | − | 0.977639i | \(-0.567441\pi\) |
0.977639 | + | 0.210290i | \(0.0674407\pi\) | |||||||
\(998\) | −7.10875 | − | 26.5302i | −0.225023 | − | 0.839799i | ||||
\(999\) | 6.52492 | − | 4.33305i | 0.206439 | − | 0.137092i |
(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 | 315.2.cg.e.157.10 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.31 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.31 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.31 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.10 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.31 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.10 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.10 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.31 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.10 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.31 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.10 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.31 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.10 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.31 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.10 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.31 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.31 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.31 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.31 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.10 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.31 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.31 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.10 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.10 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.10 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.10 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.10 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.31 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.10 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.10 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.31 | 160 | 3.2 | odd | 2 |