Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(99,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
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("416.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bi (of order \(8\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 99.13 | ||
Character | \(\chi\) | \(=\) | 416.99 |
Dual form | 416.2.bi.a.395.13 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13109 | − | 0.848900i | −0.799803 | − | 0.600263i | ||||
\(3\) | −0.351936 | + | 0.849649i | −0.203190 | + | 0.490545i | −0.992322 | − | 0.123679i | \(-0.960531\pi\) |
0.789132 | + | 0.614224i | \(0.210531\pi\) | |||||||
\(4\) | 0.558737 | + | 1.92037i | 0.279368 | + | 0.960184i | ||||
\(5\) | 0.415158 | − | 1.00228i | 0.185664 | − | 0.448233i | −0.803452 | − | 0.595370i | \(-0.797006\pi\) |
0.989116 | + | 0.147136i | \(0.0470056\pi\) | |||||||
\(6\) | 1.11934 | − | 0.662272i | 0.456968 | − | 0.270372i | ||||
\(7\) | 0.957261 | 0.361811 | 0.180905 | − | 0.983501i | \(-0.442097\pi\) | ||||
0.180905 | + | 0.983501i | \(0.442097\pi\) | |||||||
\(8\) | 0.998218 | − | 2.64642i | 0.352923 | − | 0.935652i | ||||
\(9\) | 1.52328 | + | 1.52328i | 0.507759 | + | 0.507759i | ||||
\(10\) | −1.32042 | + | 0.781243i | −0.417553 | + | 0.247051i | ||||
\(11\) | −0.121420 | − | 0.0502938i | −0.0366095 | − | 0.0151641i | 0.364304 | − | 0.931280i | \(-0.381307\pi\) |
−0.400913 | + | 0.916116i | \(0.631307\pi\) | |||||||
\(12\) | −1.82828 | − | 0.201117i | −0.527779 | − | 0.0580574i | ||||
\(13\) | −2.56521 | + | 2.53371i | −0.711462 | + | 0.702725i | ||||
\(14\) | −1.08275 | − | 0.812619i | −0.289377 | − | 0.217182i | ||||
\(15\) | 0.705477 | + | 0.705477i | 0.182153 | + | 0.182153i | ||||
\(16\) | −3.37563 | + | 2.14596i | −0.843907 | + | 0.536490i | ||||
\(17\) | 3.70614 | 0.898871 | 0.449436 | − | 0.893313i | \(-0.351625\pi\) | ||||
0.449436 | + | 0.893313i | \(0.351625\pi\) | |||||||
\(18\) | −0.429855 | − | 3.01607i | −0.101318 | − | 0.710895i | ||||
\(19\) | −2.48152 | − | 5.99092i | −0.569299 | − | 1.37441i | −0.902147 | − | 0.431430i | \(-0.858009\pi\) |
0.332847 | − | 0.942981i | \(-0.391991\pi\) | |||||||
\(20\) | 2.15671 | + | 0.237245i | 0.482255 | + | 0.0530497i | ||||
\(21\) | −0.336895 | + | 0.813336i | −0.0735165 | + | 0.177484i | ||||
\(22\) | 0.0946427 | + | 0.159960i | 0.0201779 | + | 0.0341036i | ||||
\(23\) | 4.57103 | + | 4.57103i | 0.953126 | + | 0.953126i | 0.998950 | − | 0.0458231i | \(-0.0145910\pi\) |
−0.0458231 | + | 0.998950i | \(0.514591\pi\) | |||||||
\(24\) | 1.89722 | + | 1.77951i | 0.387269 | + | 0.363241i | ||||
\(25\) | 2.70333 | + | 2.70333i | 0.540665 | + | 0.540665i | ||||
\(26\) | 5.05236 | − | 0.688248i | 0.990849 | − | 0.134977i | ||||
\(27\) | −4.37929 | + | 1.81396i | −0.842795 | + | 0.349097i | ||||
\(28\) | 0.534857 | + | 1.83829i | 0.101078 | + | 0.347405i | ||||
\(29\) | 9.11980 | + | 3.77755i | 1.69351 | + | 0.701473i | 0.999823 | − | 0.0188084i | \(-0.00598726\pi\) |
0.693682 | + | 0.720281i | \(0.255987\pi\) | |||||||
\(30\) | −0.199080 | − | 1.39684i | −0.0363468 | − | 0.255027i | ||||
\(31\) | −3.03946 | + | 3.03946i | −0.545903 | + | 0.545903i | −0.925253 | − | 0.379350i | \(-0.876148\pi\) |
0.379350 | + | 0.925253i | \(0.376148\pi\) | |||||||
\(32\) | 5.63985 | + | 0.438292i | 0.996994 | + | 0.0774798i | ||||
\(33\) | 0.0854641 | − | 0.0854641i | 0.0148774 | − | 0.0148774i | ||||
\(34\) | −4.19199 | − | 3.14614i | −0.718920 | − | 0.539559i | ||||
\(35\) | 0.397414 | − | 0.959443i | 0.0671753 | − | 0.162175i | ||||
\(36\) | −2.07414 | + | 3.77636i | −0.345690 | + | 0.629393i | ||||
\(37\) | 7.35715 | + | 3.04743i | 1.20951 | + | 0.500995i | 0.894060 | − | 0.447948i | \(-0.147845\pi\) |
0.315449 | + | 0.948943i | \(0.397845\pi\) | |||||||
\(38\) | −2.27887 | + | 8.88284i | −0.369681 | + | 1.44099i | ||||
\(39\) | −1.24997 | − | 3.07123i | −0.200156 | − | 0.491791i | ||||
\(40\) | −2.23804 | − | 2.09918i | −0.353865 | − | 0.331909i | ||||
\(41\) | − | 3.06914i | − | 0.479319i | −0.970857 | − | 0.239659i | \(-0.922964\pi\) | ||
0.970857 | − | 0.239659i | \(-0.0770358\pi\) | |||||||
\(42\) | 1.07150 | − | 0.633967i | 0.165336 | − | 0.0978233i | ||||
\(43\) | 9.42738 | − | 3.90495i | 1.43766 | − | 0.595499i | 0.478432 | − | 0.878125i | \(-0.341205\pi\) |
0.959230 | + | 0.282625i | \(0.0912053\pi\) | |||||||
\(44\) | 0.0287408 | − | 0.261272i | 0.00433284 | − | 0.0393882i | ||||
\(45\) | 2.15915 | − | 0.894349i | 0.321867 | − | 0.133322i | ||||
\(46\) | −1.28991 | − | 9.05061i | −0.190186 | − | 1.33444i | ||||
\(47\) | −0.622246 | + | 0.622246i | −0.0907639 | + | 0.0907639i | −0.751031 | − | 0.660267i | \(-0.770443\pi\) |
0.660267 | + | 0.751031i | \(0.270443\pi\) | |||||||
\(48\) | −0.635308 | − | 3.62334i | −0.0916989 | − | 0.522984i | ||||
\(49\) | −6.08365 | −0.869093 | ||||||||
\(50\) | −0.762855 | − | 5.35256i | −0.107884 | − | 0.756967i | ||||
\(51\) | −1.30433 | + | 3.14892i | −0.182642 | + | 0.440937i | ||||
\(52\) | −6.29893 | − | 3.51048i | −0.873505 | − | 0.486815i | ||||
\(53\) | 6.77811 | − | 2.80758i | 0.931045 | − | 0.385651i | 0.134970 | − | 0.990850i | \(-0.456906\pi\) |
0.796075 | + | 0.605198i | \(0.206906\pi\) | |||||||
\(54\) | 6.49326 | + | 1.66583i | 0.883620 | + | 0.226690i | ||||
\(55\) | −0.100817 | + | 0.100817i | −0.0135941 | + | 0.0135941i | ||||
\(56\) | 0.955555 | − | 2.53332i | 0.127691 | − | 0.338529i | ||||
\(57\) | 5.96351 | 0.789887 | ||||||||
\(58\) | −7.10857 | − | 12.0146i | −0.933402 | − | 1.57759i | ||||
\(59\) | −1.69013 | + | 4.08034i | −0.220036 | + | 0.531215i | −0.994895 | − | 0.100920i | \(-0.967821\pi\) |
0.774858 | + | 0.632135i | \(0.217821\pi\) | |||||||
\(60\) | −0.960600 | + | 1.74895i | −0.124013 | + | 0.225789i | ||||
\(61\) | −10.8215 | − | 4.48241i | −1.38555 | − | 0.573913i | −0.439590 | − | 0.898198i | \(-0.644876\pi\) |
−0.945959 | + | 0.324285i | \(0.894876\pi\) | |||||||
\(62\) | 6.01811 | − | 0.857710i | 0.764300 | − | 0.108929i | ||||
\(63\) | 1.45817 | + | 1.45817i | 0.183712 | + | 0.183712i | ||||
\(64\) | −6.00712 | − | 5.28342i | −0.750890 | − | 0.660427i | ||||
\(65\) | 1.47452 | + | 3.62295i | 0.182891 | + | 0.449372i | ||||
\(66\) | −0.169218 | + | 0.0241172i | −0.0208293 | + | 0.00296863i | ||||
\(67\) | −11.5267 | + | 4.77452i | −1.40821 | + | 0.583300i | −0.951869 | − | 0.306505i | \(-0.900841\pi\) |
−0.456342 | + | 0.889805i | \(0.650841\pi\) | |||||||
\(68\) | 2.07076 | + | 7.11715i | 0.251116 | + | 0.863082i | ||||
\(69\) | −5.49249 | + | 2.27506i | −0.661218 | + | 0.273885i | ||||
\(70\) | −1.26398 | + | 0.747853i | −0.151075 | + | 0.0893855i | ||||
\(71\) | 6.47615i | 0.768578i | 0.923213 | + | 0.384289i | \(0.125553\pi\) | ||||
−0.923213 | + | 0.384289i | \(0.874447\pi\) | |||||||
\(72\) | 5.55180 | − | 2.51067i | 0.654285 | − | 0.295885i | ||||
\(73\) | 7.95235 | 0.930752 | 0.465376 | − | 0.885113i | \(-0.345919\pi\) | ||||
0.465376 | + | 0.885113i | \(0.345919\pi\) | |||||||
\(74\) | −5.73465 | − | 9.69242i | −0.666639 | − | 1.12672i | ||||
\(75\) | −3.24828 | + | 1.34548i | −0.375079 | + | 0.155363i | ||||
\(76\) | 10.1182 | − | 8.11277i | 1.16064 | − | 0.930599i | ||||
\(77\) | −0.116231 | − | 0.0481443i | −0.0132457 | − | 0.00548655i | ||||
\(78\) | −1.19334 | + | 4.53495i | −0.135119 | + | 0.513482i | ||||
\(79\) | 3.25595 | 0.366323 | 0.183162 | − | 0.983083i | \(-0.441367\pi\) | ||||
0.183162 | + | 0.983083i | \(0.441367\pi\) | |||||||
\(80\) | 0.749435 | + | 4.27423i | 0.0837894 | + | 0.477874i | ||||
\(81\) | 2.10345i | 0.233717i | ||||||||
\(82\) | −2.60539 | + | 3.47148i | −0.287717 | + | 0.383360i | ||||
\(83\) | −6.73901 | − | 16.2694i | −0.739703 | − | 1.78580i | −0.607090 | − | 0.794633i | \(-0.707663\pi\) |
−0.132613 | − | 0.991168i | \(-0.542337\pi\) | |||||||
\(84\) | −1.75014 | − | 0.192521i | −0.190956 | − | 0.0210058i | ||||
\(85\) | 1.53863 | − | 3.71459i | 0.166888 | − | 0.402904i | ||||
\(86\) | −13.9781 | − | 3.58605i | −1.50730 | − | 0.386694i | ||||
\(87\) | −6.41918 | + | 6.41918i | −0.688208 | + | 0.688208i | ||||
\(88\) | −0.254302 | + | 0.271124i | −0.0271087 | + | 0.0289020i | ||||
\(89\) | − | 9.26746i | − | 0.982349i | −0.871061 | − | 0.491175i | \(-0.836568\pi\) | ||
0.871061 | − | 0.491175i | \(-0.163432\pi\) | |||||||
\(90\) | −3.20141 | − | 0.821311i | −0.337458 | − | 0.0865738i | ||||
\(91\) | −2.45558 | + | 2.42542i | −0.257414 | + | 0.254253i | ||||
\(92\) | −6.22406 | + | 11.3321i | −0.648903 | + | 1.18145i | ||||
\(93\) | −1.51278 | − | 3.65217i | −0.156868 | − | 0.378712i | ||||
\(94\) | 1.23204 | − | 0.175592i | 0.127075 | − | 0.0181110i | ||||
\(95\) | −7.03480 | −0.721755 | ||||||||
\(96\) | −2.35726 | + | 4.63764i | −0.240587 | + | 0.473327i | ||||
\(97\) | 8.08287 | + | 8.08287i | 0.820691 | + | 0.820691i | 0.986207 | − | 0.165516i | \(-0.0529289\pi\) |
−0.165516 | + | 0.986207i | \(0.552929\pi\) | |||||||
\(98\) | 6.88117 | + | 5.16441i | 0.695103 | + | 0.521685i | ||||
\(99\) | −0.108345 | − | 0.261567i | −0.0108891 | − | 0.0262885i | ||||
\(100\) | −3.68093 | + | 6.70183i | −0.368093 | + | 0.670183i | ||||
\(101\) | −16.9772 | + | 7.03219i | −1.68929 | + | 0.699729i | −0.999701 | − | 0.0244676i | \(-0.992211\pi\) |
−0.689594 | + | 0.724196i | \(0.742211\pi\) | |||||||
\(102\) | 4.14843 | − | 2.45447i | 0.410756 | − | 0.243029i | ||||
\(103\) | −2.34312 | + | 2.34312i | −0.230874 | + | 0.230874i | −0.813058 | − | 0.582183i | \(-0.802199\pi\) |
0.582183 | + | 0.813058i | \(0.302199\pi\) | |||||||
\(104\) | 4.14463 | + | 9.31784i | 0.406414 | + | 0.913689i | ||||
\(105\) | 0.675326 | + | 0.675326i | 0.0659050 | + | 0.0659050i | ||||
\(106\) | −10.0500 | − | 2.57830i | −0.976144 | − | 0.250427i | ||||
\(107\) | −0.0984637 | − | 0.237712i | −0.00951884 | − | 0.0229805i | 0.919049 | − | 0.394144i | \(-0.128959\pi\) |
−0.928567 | + | 0.371164i | \(0.878959\pi\) | |||||||
\(108\) | −5.93035 | − | 7.39633i | −0.570648 | − | 0.711712i | ||||
\(109\) | −3.48153 | + | 1.44210i | −0.333470 | + | 0.138128i | −0.543135 | − | 0.839645i | \(-0.682763\pi\) |
0.209665 | + | 0.977773i | \(0.432763\pi\) | |||||||
\(110\) | 0.199617 | − | 0.0284497i | 0.0190327 | − | 0.00271257i | ||||
\(111\) | −5.17850 | + | 5.17850i | −0.491521 | + | 0.491521i | ||||
\(112\) | −3.23135 | + | 2.05424i | −0.305334 | + | 0.194108i | ||||
\(113\) | − | 11.7709i | − | 1.10732i | −0.832744 | − | 0.553659i | \(-0.813231\pi\) | ||
0.832744 | − | 0.553659i | \(-0.186769\pi\) | |||||||
\(114\) | −6.74528 | − | 5.06243i | −0.631753 | − | 0.474140i | ||||
\(115\) | 6.47916 | − | 2.68375i | 0.604184 | − | 0.250261i | ||||
\(116\) | −2.15871 | + | 19.6240i | −0.200431 | + | 1.82205i | ||||
\(117\) | −7.76706 | − | 0.0479874i | −0.718065 | − | 0.00443643i | ||||
\(118\) | 5.37549 | − | 3.18048i | 0.494854 | − | 0.292787i | ||||
\(119\) | 3.54774 | 0.325221 | ||||||||
\(120\) | 2.57121 | − | 1.16277i | 0.234718 | − | 0.106146i | ||||
\(121\) | −7.76596 | − | 7.76596i | −0.705996 | − | 0.705996i | ||||
\(122\) | 8.43498 | + | 14.2564i | 0.763667 | + | 1.29071i | ||||
\(123\) | 2.60769 | + | 1.08014i | 0.235128 | + | 0.0973930i | ||||
\(124\) | −7.53514 | − | 4.13862i | −0.676676 | − | 0.371659i | ||||
\(125\) | 8.84319 | − | 3.66297i | 0.790959 | − | 0.327626i | ||||
\(126\) | −0.411484 | − | 2.88717i | −0.0366579 | − | 0.257209i | ||||
\(127\) | −16.1340 | −1.43166 | −0.715831 | − | 0.698273i | \(-0.753952\pi\) | ||||
−0.715831 | + | 0.698273i | \(0.753952\pi\) | |||||||
\(128\) | 2.30951 | + | 11.0755i | 0.204134 | + | 0.978943i | ||||
\(129\) | 9.38426i | 0.826238i | ||||||||
\(130\) | 1.40771 | − | 5.34961i | 0.123464 | − | 0.469192i | ||||
\(131\) | 2.01920 | − | 4.87479i | 0.176419 | − | 0.425912i | −0.810792 | − | 0.585335i | \(-0.800963\pi\) |
0.987210 | + | 0.159422i | \(0.0509632\pi\) | |||||||
\(132\) | 0.211875 | + | 0.116371i | 0.0184413 | + | 0.0101288i | ||||
\(133\) | −2.37546 | − | 5.73487i | −0.205979 | − | 0.497276i | ||||
\(134\) | 17.0908 | + | 4.38460i | 1.47642 | + | 0.378772i | ||||
\(135\) | 5.14236i | 0.442584i | ||||||||
\(136\) | 3.69954 | − | 9.80802i | 0.317233 | − | 0.841031i | ||||
\(137\) | 8.20841 | 0.701292 | 0.350646 | − | 0.936508i | \(-0.385962\pi\) | ||||
0.350646 | + | 0.936508i | \(0.385962\pi\) | |||||||
\(138\) | 8.14381 | + | 2.08927i | 0.693247 | + | 0.177850i | ||||
\(139\) | −3.83069 | − | 9.24809i | −0.324915 | − | 0.784413i | −0.998954 | − | 0.0457181i | \(-0.985442\pi\) |
0.674040 | − | 0.738695i | \(-0.264558\pi\) | |||||||
\(140\) | 2.06453 | + | 0.227106i | 0.174485 | + | 0.0191939i | ||||
\(141\) | −0.309700 | − | 0.747682i | −0.0260814 | − | 0.0629661i | ||||
\(142\) | 5.49760 | − | 7.32512i | 0.461349 | − | 0.614710i | ||||
\(143\) | 0.438898 | − | 0.178629i | 0.0367025 | − | 0.0149377i | ||||
\(144\) | −8.41090 | − | 1.87312i | −0.700908 | − | 0.156093i | ||||
\(145\) | 7.57232 | − | 7.57232i | 0.628847 | − | 0.628847i | ||||
\(146\) | −8.99484 | − | 6.75075i | −0.744418 | − | 0.558696i | ||||
\(147\) | 2.14106 | − | 5.16897i | 0.176591 | − | 0.426329i | ||||
\(148\) | −1.74148 | + | 15.8312i | −0.143149 | + | 1.30131i | ||||
\(149\) | −6.62044 | − | 2.74228i | −0.542368 | − | 0.224656i | 0.0946427 | − | 0.995511i | \(-0.469829\pi\) |
−0.637010 | + | 0.770855i | \(0.719829\pi\) | |||||||
\(150\) | 4.81628 | + | 1.23560i | 0.393247 | + | 0.100886i | ||||
\(151\) | 4.38485i | 0.356834i | 0.983955 | + | 0.178417i | \(0.0570976\pi\) | ||||
−0.983955 | + | 0.178417i | \(0.942902\pi\) | |||||||
\(152\) | −18.3316 | + | 0.586908i | −1.48689 | + | 0.0476046i | ||||
\(153\) | 5.64547 | + | 5.64547i | 0.456410 | + | 0.456410i | ||||
\(154\) | 0.0905977 | + | 0.153124i | 0.00730057 | + | 0.0123391i | ||||
\(155\) | 1.78453 | + | 4.30825i | 0.143337 | + | 0.346047i | ||||
\(156\) | 5.19950 | − | 4.11642i | 0.416293 | − | 0.329577i | ||||
\(157\) | 7.57662 | + | 3.13834i | 0.604680 | + | 0.250467i | 0.663952 | − | 0.747775i | \(-0.268878\pi\) |
−0.0592719 | + | 0.998242i | \(0.518878\pi\) | |||||||
\(158\) | −3.68278 | − | 2.76398i | −0.292986 | − | 0.219890i | ||||
\(159\) | 6.74710i | 0.535080i | ||||||||
\(160\) | 2.78072 | − | 5.47075i | 0.219835 | − | 0.432500i | ||||
\(161\) | 4.37567 | + | 4.37567i | 0.344851 | + | 0.344851i | ||||
\(162\) | 1.78562 | − | 2.37919i | 0.140291 | − | 0.186927i | ||||
\(163\) | −7.52543 | − | 18.1680i | −0.589437 | − | 1.42303i | −0.884042 | − | 0.467408i | \(-0.845188\pi\) |
0.294604 | − | 0.955619i | \(-0.404812\pi\) | |||||||
\(164\) | 5.89387 | − | 1.71484i | 0.460234 | − | 0.133907i | ||||
\(165\) | −0.0501779 | − | 0.121140i | −0.00390634 | − | 0.00943074i | ||||
\(166\) | −6.18867 | + | 24.1230i | −0.480334 | + | 1.87230i | ||||
\(167\) | 8.07531 | 0.624886 | 0.312443 | − | 0.949936i | \(-0.398853\pi\) | ||||
0.312443 | + | 0.949936i | \(0.398853\pi\) | |||||||
\(168\) | 1.81614 | + | 1.70345i | 0.140118 | + | 0.131424i | ||||
\(169\) | 0.160630 | − | 12.9990i | 0.0123562 | − | 0.999924i | ||||
\(170\) | −4.89365 | + | 2.89540i | −0.375326 | + | 0.222067i | ||||
\(171\) | 5.34578 | − | 12.9059i | 0.408802 | − | 0.986935i | ||||
\(172\) | 12.7664 | + | 15.9222i | 0.973426 | + | 1.21406i | ||||
\(173\) | 7.39122 | + | 3.06154i | 0.561944 | + | 0.232765i | 0.645529 | − | 0.763736i | \(-0.276637\pi\) |
−0.0835849 | + | 0.996501i | \(0.526637\pi\) | |||||||
\(174\) | 12.7099 | − | 1.81144i | 0.963537 | − | 0.137325i | ||||
\(175\) | 2.58779 | + | 2.58779i | 0.195618 | + | 0.195618i | ||||
\(176\) | 0.517797 | − | 0.0907893i | 0.0390304 | − | 0.00684350i | ||||
\(177\) | −2.87204 | − | 2.87204i | −0.215876 | − | 0.215876i | ||||
\(178\) | −7.86715 | + | 10.4824i | −0.589668 | + | 0.785685i | ||||
\(179\) | −1.22526 | + | 2.95805i | −0.0915805 | + | 0.221095i | −0.963032 | − | 0.269387i | \(-0.913179\pi\) |
0.871452 | + | 0.490481i | \(0.163179\pi\) | |||||||
\(180\) | 2.92387 | + | 3.64665i | 0.217933 | + | 0.271806i | ||||
\(181\) | −4.18268 | − | 10.0979i | −0.310896 | − | 0.750569i | −0.999672 | − | 0.0255956i | \(-0.991852\pi\) |
0.688776 | − | 0.724974i | \(-0.258148\pi\) | |||||||
\(182\) | 4.83642 | − | 0.658833i | 0.358500 | − | 0.0488360i | ||||
\(183\) | 7.61695 | − | 7.61695i | 0.563061 | − | 0.563061i | ||||
\(184\) | 16.6598 | − | 7.53400i | 1.22818 | − | 0.555414i | ||||
\(185\) | 6.10876 | − | 6.10876i | 0.449125 | − | 0.449125i | ||||
\(186\) | −1.38924 | + | 5.41514i | −0.101864 | + | 0.397057i | ||||
\(187\) | −0.449999 | − | 0.186396i | −0.0329072 | − | 0.0136306i | ||||
\(188\) | −1.54261 | − | 0.847269i | −0.112507 | − | 0.0617935i | ||||
\(189\) | −4.19213 | + | 1.73644i | −0.304932 | + | 0.126307i | ||||
\(190\) | 7.95700 | + | 5.97184i | 0.577261 | + | 0.433243i | ||||
\(191\) | − | 21.7679i | − | 1.57507i | −0.616268 | − | 0.787536i | \(-0.711356\pi\) | ||
0.616268 | − | 0.787536i | \(-0.288644\pi\) | |||||||
\(192\) | 6.60317 | − | 3.24452i | 0.476543 | − | 0.234153i | ||||
\(193\) | −11.8878 | + | 11.8878i | −0.855704 | + | 0.855704i | −0.990829 | − | 0.135125i | \(-0.956856\pi\) |
0.135125 | + | 0.990829i | \(0.456856\pi\) | |||||||
\(194\) | −2.28092 | − | 16.0040i | −0.163760 | − | 1.14902i | ||||
\(195\) | −3.59717 | − | 0.0222245i | −0.257599 | − | 0.00159153i | ||||
\(196\) | −3.39916 | − | 11.6829i | −0.242797 | − | 0.834489i | ||||
\(197\) | −2.88502 | + | 6.96506i | −0.205549 | + | 0.496240i | −0.992713 | − | 0.120505i | \(-0.961549\pi\) |
0.787164 | + | 0.616744i | \(0.211549\pi\) | |||||||
\(198\) | −0.0994967 | + | 0.387830i | −0.00707092 | + | 0.0275619i | ||||
\(199\) | 15.1623 | − | 15.1623i | 1.07482 | − | 1.07482i | 0.0778600 | − | 0.996964i | \(-0.475191\pi\) |
0.996964 | − | 0.0778600i | \(-0.0248087\pi\) | |||||||
\(200\) | 9.85265 | − | 4.45564i | 0.696688 | − | 0.315061i | ||||
\(201\) | − | 11.4740i | − | 0.809312i | ||||||
\(202\) | 25.1724 | + | 6.45790i | 1.77112 | + | 0.454376i | ||||
\(203\) | 8.73003 | + | 3.61610i | 0.612728 | + | 0.253800i | ||||
\(204\) | −6.77586 | − | 0.745367i | −0.474405 | − | 0.0521861i | ||||
\(205\) | −3.07613 | − | 1.27418i | −0.214847 | − | 0.0889924i | ||||
\(206\) | 4.63936 | − | 0.661208i | 0.323239 | − | 0.0460686i | ||||
\(207\) | 13.9259i | 0.967916i | ||||||||
\(208\) | 3.22196 | − | 14.0577i | 0.223403 | − | 0.974726i | ||||
\(209\) | 0.852221i | 0.0589494i | ||||||||
\(210\) | −0.190571 | − | 1.33714i | −0.0131507 | − | 0.0922714i | ||||
\(211\) | 5.79136 | + | 2.39886i | 0.398693 | + | 0.165144i | 0.573016 | − | 0.819544i | \(-0.305773\pi\) |
−0.174322 | + | 0.984689i | \(0.555773\pi\) | |||||||
\(212\) | 9.17877 | + | 11.4478i | 0.630401 | + | 0.786235i | ||||
\(213\) | −5.50245 | − | 2.27919i | −0.377022 | − | 0.156168i | ||||
\(214\) | −0.0904226 | + | 0.352460i | −0.00618116 | + | 0.0240937i | ||||
\(215\) | − | 11.0700i | − | 0.754971i | ||||||
\(216\) | 0.429023 | + | 13.4002i | 0.0291914 | + | 0.911768i | ||||
\(217\) | −2.90956 | + | 2.90956i | −0.197514 | + | 0.197514i | ||||
\(218\) | 5.16213 | + | 1.32433i | 0.349624 | + | 0.0896949i | ||||
\(219\) | −2.79872 | + | 6.75671i | −0.189120 | + | 0.456576i | ||||
\(220\) | −0.249936 | − | 0.137275i | −0.0168507 | − | 0.00925511i | ||||
\(221\) | −9.50704 | + | 9.39029i | −0.639513 | + | 0.631659i | ||||
\(222\) | 10.2534 | − | 1.46133i | 0.688162 | − | 0.0980779i | ||||
\(223\) | −14.8548 | + | 14.8548i | −0.994750 | + | 0.994750i | −0.999986 | − | 0.00523657i | \(-0.998333\pi\) |
0.00523657 | + | 0.999986i | \(0.498333\pi\) | |||||||
\(224\) | 5.39881 | + | 0.419560i | 0.360723 | + | 0.0280330i | ||||
\(225\) | 8.23582i | 0.549055i | ||||||||
\(226\) | −9.99236 | + | 13.3140i | −0.664682 | + | 0.885636i | ||||
\(227\) | −3.97531 | + | 1.64663i | −0.263851 | + | 0.109291i | −0.510687 | − | 0.859767i | \(-0.670609\pi\) |
0.246836 | + | 0.969057i | \(0.420609\pi\) | |||||||
\(228\) | 3.33203 | + | 11.4521i | 0.220669 | + | 0.758437i | ||||
\(229\) | −14.7384 | − | 6.10483i | −0.973939 | − | 0.403419i | −0.161762 | − | 0.986830i | \(-0.551718\pi\) |
−0.812177 | + | 0.583411i | \(0.801718\pi\) | |||||||
\(230\) | −9.60676 | − | 2.46458i | −0.633451 | − | 0.162510i | ||||
\(231\) | 0.0818115 | − | 0.0818115i | 0.00538280 | − | 0.00538280i | ||||
\(232\) | 19.1005 | − | 20.3641i | 1.25401 | − | 1.33697i | ||||
\(233\) | 11.6511 | − | 11.6511i | 0.763288 | − | 0.763288i | −0.213627 | − | 0.976915i | \(-0.568528\pi\) |
0.976915 | + | 0.213627i | \(0.0685277\pi\) | |||||||
\(234\) | 8.74453 | + | 6.64774i | 0.571648 | + | 0.434576i | ||||
\(235\) | 0.365334 | + | 0.881995i | 0.0238318 | + | 0.0575350i | ||||
\(236\) | −8.78009 | − | 0.965839i | −0.571535 | − | 0.0628708i | ||||
\(237\) | −1.14589 | + | 2.76642i | −0.0744334 | + | 0.179698i | ||||
\(238\) | −4.01282 | − | 3.01168i | −0.260113 | − | 0.195218i | ||||
\(239\) | 7.80066 | + | 7.80066i | 0.504583 | + | 0.504583i | 0.912859 | − | 0.408276i | \(-0.133870\pi\) |
−0.408276 | + | 0.912859i | \(0.633870\pi\) | |||||||
\(240\) | −3.89535 | − | 0.867501i | −0.251444 | − | 0.0559970i | ||||
\(241\) | 6.36691 | + | 6.36691i | 0.410129 | + | 0.410129i | 0.881783 | − | 0.471655i | \(-0.156343\pi\) |
−0.471655 | + | 0.881783i | \(0.656343\pi\) | |||||||
\(242\) | 2.19149 | + | 15.3765i | 0.140874 | + | 0.988441i | ||||
\(243\) | −14.9251 | − | 6.18217i | −0.957444 | − | 0.396586i | ||||
\(244\) | 2.56151 | − | 23.2857i | 0.163984 | − | 1.49072i | ||||
\(245\) | −2.52568 | + | 6.09752i | −0.161360 | + | 0.389556i | ||||
\(246\) | −2.03261 | − | 3.43541i | −0.129594 | − | 0.219034i | ||||
\(247\) | 21.5449 | + | 9.08053i | 1.37087 | + | 0.577780i | ||||
\(248\) | 5.00966 | + | 11.0777i | 0.318113 | + | 0.703438i | ||||
\(249\) | 16.1950 | 1.02632 | ||||||||
\(250\) | −13.1120 | − | 3.36383i | −0.829273 | − | 0.212748i | ||||
\(251\) | −3.31115 | − | 7.99381i | −0.208998 | − | 0.504565i | 0.784268 | − | 0.620422i | \(-0.213039\pi\) |
−0.993266 | + | 0.115857i | \(0.963039\pi\) | |||||||
\(252\) | −1.98549 | + | 3.61496i | −0.125074 | + | 0.227721i | ||||
\(253\) | −0.325120 | − | 0.784909i | −0.0204401 | − | 0.0493468i | ||||
\(254\) | 18.2491 | + | 13.6962i | 1.14505 | + | 0.859374i | ||||
\(255\) | 2.61460 | + | 2.61460i | 0.163732 | + | 0.163732i | ||||
\(256\) | 6.78971 | − | 14.4879i | 0.424357 | − | 0.905495i | ||||
\(257\) | 7.28584i | 0.454478i | 0.973839 | + | 0.227239i | \(0.0729699\pi\) | ||||
−0.973839 | + | 0.227239i | \(0.927030\pi\) | |||||||
\(258\) | 7.96630 | − | 10.6145i | 0.495960 | − | 0.660827i | ||||
\(259\) | 7.04271 | + | 2.91719i | 0.437613 | + | 0.181265i | ||||
\(260\) | −6.13353 | + | 4.85589i | −0.380385 | + | 0.301150i | ||||
\(261\) | 8.13773 | + | 19.6462i | 0.503713 | + | 1.21607i | ||||
\(262\) | −6.42211 | + | 3.79973i | −0.396759 | + | 0.234748i | ||||
\(263\) | −8.48876 | − | 8.48876i | −0.523439 | − | 0.523439i | 0.395169 | − | 0.918608i | \(-0.370686\pi\) |
−0.918608 | + | 0.395169i | \(0.870686\pi\) | |||||||
\(264\) | −0.140862 | − | 0.311486i | −0.00866948 | − | 0.0191706i | ||||
\(265\) | − | 7.95915i | − | 0.488927i | ||||||
\(266\) | −2.18147 | + | 8.50319i | −0.133754 | + | 0.521364i | ||||
\(267\) | 7.87409 | + | 3.26156i | 0.481887 | + | 0.199604i | ||||
\(268\) | −15.6092 | − | 19.4678i | −0.953485 | − | 1.18919i | ||||
\(269\) | −5.25512 | + | 12.6870i | −0.320410 | + | 0.773539i | 0.678820 | + | 0.734305i | \(0.262492\pi\) |
−0.999230 | + | 0.0392337i | \(0.987508\pi\) | |||||||
\(270\) | 4.36535 | − | 5.81648i | 0.265667 | − | 0.353980i | ||||
\(271\) | −6.56086 | + | 6.56086i | −0.398544 | + | 0.398544i | −0.877719 | − | 0.479175i | \(-0.840936\pi\) |
0.479175 | + | 0.877719i | \(0.340936\pi\) | |||||||
\(272\) | −12.5105 | + | 7.95323i | −0.758563 | + | 0.482235i | ||||
\(273\) | −1.19655 | − | 2.93997i | −0.0724185 | − | 0.177935i | ||||
\(274\) | −9.28447 | − | 6.96812i | −0.560895 | − | 0.420960i | ||||
\(275\) | −0.192277 | − | 0.464198i | −0.0115947 | − | 0.0279922i | ||||
\(276\) | −7.43781 | − | 9.27644i | −0.447704 | − | 0.558376i | ||||
\(277\) | −6.86507 | − | 16.5737i | −0.412482 | − | 0.995819i | −0.984469 | − | 0.175557i | \(-0.943827\pi\) |
0.571987 | − | 0.820262i | \(-0.306173\pi\) | |||||||
\(278\) | −3.51785 | + | 13.7123i | −0.210987 | + | 0.822410i | ||||
\(279\) | −9.25987 | −0.554374 | ||||||||
\(280\) | −2.14239 | − | 2.00946i | −0.128032 | − | 0.120088i | ||||
\(281\) | − | 7.38871i | − | 0.440773i | −0.975413 | − | 0.220387i | \(-0.929268\pi\) | ||
0.975413 | − | 0.220387i | \(-0.0707319\pi\) | |||||||
\(282\) | −0.284408 | + | 1.10860i | −0.0169363 | + | 0.0660162i | ||||
\(283\) | 12.1906 | + | 29.4307i | 0.724657 | + | 1.74948i | 0.659628 | + | 0.751592i | \(0.270714\pi\) |
0.0650286 | + | 0.997883i | \(0.479286\pi\) | |||||||
\(284\) | −12.4366 | + | 3.61846i | −0.737976 | + | 0.214716i | ||||
\(285\) | 2.47580 | − | 5.97711i | 0.146654 | − | 0.354053i | ||||
\(286\) | −0.648071 | − | 0.170535i | −0.0383213 | − | 0.0100839i | ||||
\(287\) | − | 2.93797i | − | 0.173423i | ||||||
\(288\) | 7.92341 | + | 9.25869i | 0.466891 | + | 0.545573i | ||||
\(289\) | −3.26452 | −0.192031 | ||||||||
\(290\) | −14.9931 | + | 2.13684i | −0.880427 | + | 0.125480i | ||||
\(291\) | −9.71226 | + | 4.02295i | −0.569343 | + | 0.235829i | ||||
\(292\) | 4.44327 | + | 15.2714i | 0.260023 | + | 0.893694i | ||||
\(293\) | 2.75547 | + | 1.14135i | 0.160976 | + | 0.0666784i | 0.461716 | − | 0.887028i | \(-0.347234\pi\) |
−0.300740 | + | 0.953706i | \(0.597234\pi\) | |||||||
\(294\) | −6.80967 | + | 4.02903i | −0.397148 | + | 0.234978i | ||||
\(295\) | 3.38797 | + | 3.38797i | 0.197255 | + | 0.197255i | ||||
\(296\) | 15.4088 | − | 16.4281i | 0.895621 | − | 0.954866i | ||||
\(297\) | 0.622964 | 0.0361481 | ||||||||
\(298\) | 5.16041 | + | 8.72186i | 0.298934 | + | 0.505244i | ||||
\(299\) | −23.3073 | − | 0.144000i | −1.34790 | − | 0.00832774i | ||||
\(300\) | −4.39875 | − | 5.48612i | −0.253962 | − | 0.316741i | ||||
\(301\) | 9.02446 | − | 3.73806i | 0.520161 | − | 0.215458i | ||||
\(302\) | 3.72230 | − | 4.95967i | 0.214194 | − | 0.285397i | ||||
\(303\) | − | 16.8995i | − | 0.970854i | ||||||
\(304\) | 21.2329 | + | 14.8979i | 1.21779 | + | 0.854451i | ||||
\(305\) | −8.98525 | + | 8.98525i | −0.514494 | + | 0.514494i | ||||
\(306\) | −1.59310 | − | 11.1780i | −0.0910717 | − | 0.639003i | ||||
\(307\) | 26.5331 | − | 10.9904i | 1.51432 | − | 0.627254i | 0.537880 | − | 0.843022i | \(-0.319225\pi\) |
0.976445 | + | 0.215768i | \(0.0692254\pi\) | |||||||
\(308\) | 0.0275124 | − | 0.250105i | 0.00156767 | − | 0.0142511i | ||||
\(309\) | −1.16620 | − | 2.81546i | −0.0663429 | − | 0.160166i | ||||
\(310\) | 1.63880 | − | 6.38791i | 0.0930776 | − | 0.362809i | ||||
\(311\) | −4.84055 | − | 4.84055i | −0.274483 | − | 0.274483i | 0.556419 | − | 0.830902i | \(-0.312175\pi\) |
−0.830902 | + | 0.556419i | \(0.812175\pi\) | |||||||
\(312\) | −9.37554 | + | 0.242196i | −0.530785 | + | 0.0137117i | ||||
\(313\) | −4.69858 | + | 4.69858i | −0.265579 | + | 0.265579i | −0.827316 | − | 0.561737i | \(-0.810133\pi\) |
0.561737 | + | 0.827316i | \(0.310133\pi\) | |||||||
\(314\) | −5.90572 | − | 9.98154i | −0.333279 | − | 0.563291i | ||||
\(315\) | 2.06687 | − | 0.856125i | 0.116455 | − | 0.0482372i | ||||
\(316\) | 1.81922 | + | 6.25263i | 0.102339 | + | 0.351738i | ||||
\(317\) | −2.75961 | − | 6.66228i | −0.154995 | − | 0.374191i | 0.827239 | − | 0.561850i | \(-0.189910\pi\) |
−0.982234 | + | 0.187659i | \(0.939910\pi\) | |||||||
\(318\) | 5.72762 | − | 7.63159i | 0.321189 | − | 0.427958i | ||||
\(319\) | −0.917339 | − | 0.917339i | −0.0513611 | − | 0.0513611i | ||||
\(320\) | −7.78937 | + | 3.82736i | −0.435439 | + | 0.213956i | ||||
\(321\) | 0.236625 | 0.0132071 | ||||||||
\(322\) | −1.23478 | − | 8.66379i | −0.0688114 | − | 0.482814i | ||||
\(323\) | −9.19686 | − | 22.2032i | −0.511727 | − | 1.23542i | ||||
\(324\) | −4.03940 | + | 1.17527i | −0.224411 | + | 0.0652930i | ||||
\(325\) | −13.7840 | − | 0.0851622i | −0.764601 | − | 0.00472395i | ||||
\(326\) | −6.91086 | + | 26.9380i | −0.382757 | + | 1.49196i | ||||
\(327\) | − | 3.46561i | − | 0.191649i | ||||||
\(328\) | −8.12224 | − | 3.06367i | −0.448476 | − | 0.169163i | ||||
\(329\) | −0.595652 | + | 0.595652i | −0.0328393 | + | 0.0328393i | ||||
\(330\) | −0.0460801 | + | 0.179617i | −0.00253662 | + | 0.00988756i | ||||
\(331\) | −5.54207 | + | 13.3797i | −0.304619 | + | 0.735416i | 0.695242 | + | 0.718776i | \(0.255297\pi\) |
−0.999862 | + | 0.0166408i | \(0.994703\pi\) | |||||||
\(332\) | 27.4779 | − | 22.0317i | 1.50805 | − | 1.20915i | ||||
\(333\) | 6.56489 | + | 15.8491i | 0.359754 | + | 0.868523i | ||||
\(334\) | −9.13392 | − | 6.85513i | −0.499786 | − | 0.375096i | ||||
\(335\) | 13.5352i | 0.739505i | ||||||||
\(336\) | −0.608156 | − | 3.46848i | −0.0331776 | − | 0.189221i | ||||
\(337\) | −15.0519 | −0.819927 | −0.409964 | − | 0.912102i | \(-0.634459\pi\) | ||||
−0.409964 | + | 0.912102i | \(0.634459\pi\) | |||||||
\(338\) | −11.2165 | + | 14.5667i | −0.610100 | + | 0.792325i | ||||
\(339\) | 10.0012 | + | 4.14262i | 0.543189 | + | 0.224996i | ||||
\(340\) | 7.99307 | + | 0.879265i | 0.433485 | + | 0.0476848i | ||||
\(341\) | 0.521917 | − | 0.216185i | 0.0282634 | − | 0.0117071i | ||||
\(342\) | −17.0024 | + | 10.0597i | −0.919382 | + | 0.543965i | ||||
\(343\) | −12.5245 | −0.676258 | ||||||||
\(344\) | −0.923566 | − | 28.8468i | −0.0497954 | − | 1.55532i | ||||
\(345\) | 6.44952i | 0.347230i | ||||||||
\(346\) | −5.76120 | − | 9.73730i | −0.309724 | − | 0.523480i | ||||
\(347\) | 12.3817 | − | 5.12866i | 0.664684 | − | 0.275321i | −0.0247240 | − | 0.999694i | \(-0.507871\pi\) |
0.689408 | + | 0.724373i | \(0.257871\pi\) | |||||||
\(348\) | −15.9138 | − | 8.74055i | −0.853070 | − | 0.468543i | ||||
\(349\) | −11.6840 | + | 4.83967i | −0.625430 | + | 0.259061i | −0.672810 | − | 0.739816i | \(-0.734913\pi\) |
0.0473803 | + | 0.998877i | \(0.484913\pi\) | |||||||
\(350\) | −0.730251 | − | 5.12380i | −0.0390336 | − | 0.273879i | ||||
\(351\) | 6.63776 | − | 15.7491i | 0.354298 | − | 0.840623i | ||||
\(352\) | −0.662747 | − | 0.336867i | −0.0353245 | − | 0.0179551i | ||||
\(353\) | −16.2204 | − | 16.2204i | −0.863325 | − | 0.863325i | 0.128398 | − | 0.991723i | \(-0.459016\pi\) |
−0.991723 | + | 0.128398i | \(0.959016\pi\) | |||||||
\(354\) | 0.810464 | + | 5.68661i | 0.0430757 | + | 0.302240i | ||||
\(355\) | 6.49091 | + | 2.68862i | 0.344502 | + | 0.142697i | ||||
\(356\) | 17.7969 | − | 5.17807i | 0.943236 | − | 0.274437i | ||||
\(357\) | −1.24858 | + | 3.01434i | −0.0660818 | + | 0.159536i | ||||
\(358\) | 3.89697 | − | 2.30570i | 0.205961 | − | 0.121860i | ||||
\(359\) | 21.1809 | 1.11788 | 0.558942 | − | 0.829207i | \(-0.311208\pi\) | ||||
0.558942 | + | 0.829207i | \(0.311208\pi\) | |||||||
\(360\) | −0.211524 | − | 6.60678i | −0.0111483 | − | 0.348208i | ||||
\(361\) | −16.2981 | + | 16.2981i | −0.857795 | + | 0.857795i | ||||
\(362\) | −3.84110 | + | 14.9723i | −0.201884 | + | 0.786927i | ||||
\(363\) | 9.33147 | − | 3.86522i | 0.489775 | − | 0.202871i | ||||
\(364\) | −6.02972 | − | 3.36044i | −0.316043 | − | 0.176135i | ||||
\(365\) | 3.30148 | − | 7.97048i | 0.172807 | − | 0.417194i | ||||
\(366\) | −15.0815 | + | 2.14944i | −0.788322 | + | 0.112353i | ||||
\(367\) | 27.2791 | 1.42396 | 0.711979 | − | 0.702201i | \(-0.247799\pi\) | ||||
0.711979 | + | 0.702201i | \(0.247799\pi\) | |||||||
\(368\) | −25.2394 | − | 5.62085i | −1.31569 | − | 0.293007i | ||||
\(369\) | 4.67514 | − | 4.67514i | 0.243378 | − | 0.243378i | ||||
\(370\) | −12.0953 | + | 1.72384i | −0.628805 | + | 0.0896182i | ||||
\(371\) | 6.48842 | − | 2.68759i | 0.336862 | − | 0.139533i | ||||
\(372\) | 6.16827 | − | 4.94569i | 0.319810 | − | 0.256422i | ||||
\(373\) | −22.2551 | + | 9.21838i | −1.15233 | + | 0.477310i | −0.875313 | − | 0.483556i | \(-0.839345\pi\) |
−0.277014 | + | 0.960866i | \(0.589345\pi\) | |||||||
\(374\) | 0.350759 | + | 0.592835i | 0.0181373 | + | 0.0306548i | ||||
\(375\) | 8.80274i | 0.454572i | ||||||||
\(376\) | 1.02559 | + | 2.26786i | 0.0528907 | + | 0.116956i | ||||
\(377\) | −32.9654 | + | 13.4167i | −1.69781 | + | 0.690997i | ||||
\(378\) | 6.21574 | + | 1.59463i | 0.319703 | + | 0.0820189i | ||||
\(379\) | 9.99310 | + | 4.13928i | 0.513311 | + | 0.212620i | 0.624276 | − | 0.781204i | \(-0.285394\pi\) |
−0.110965 | + | 0.993824i | \(0.535394\pi\) | |||||||
\(380\) | −3.93060 | − | 13.5094i | −0.201636 | − | 0.693018i | ||||
\(381\) | 5.67815 | − | 13.7083i | 0.290900 | − | 0.702295i | ||||
\(382\) | −18.4788 | + | 24.6215i | −0.945458 | + | 1.25975i | ||||
\(383\) | −3.95097 | + | 3.95097i | −0.201885 | + | 0.201885i | −0.800807 | − | 0.598922i | \(-0.795596\pi\) |
0.598922 | + | 0.800807i | \(0.295596\pi\) | |||||||
\(384\) | −10.2231 | − | 1.93559i | −0.521694 | − | 0.0987751i | ||||
\(385\) | −0.0965080 | + | 0.0965080i | −0.00491850 | + | 0.00491850i | ||||
\(386\) | 23.5378 | − | 3.35464i | 1.19804 | − | 0.170747i | ||||
\(387\) | 20.3088 | + | 8.41219i | 1.03236 | + | 0.427616i | ||||
\(388\) | −11.0059 | + | 20.0383i | −0.558739 | + | 1.01729i | ||||
\(389\) | −3.34997 | + | 1.38760i | −0.169850 | + | 0.0703542i | −0.465988 | − | 0.884791i | \(-0.654301\pi\) |
0.296138 | + | 0.955145i | \(0.404301\pi\) | |||||||
\(390\) | 4.04987 | + | 3.07878i | 0.205073 | + | 0.155900i | ||||
\(391\) | 16.9409 | + | 16.9409i | 0.856738 | + | 0.856738i | ||||
\(392\) | −6.07281 | + | 16.0999i | −0.306723 | + | 0.813169i | ||||
\(393\) | 3.43123 | + | 3.43123i | 0.173083 | + | 0.173083i | ||||
\(394\) | 9.17586 | − | 5.42902i | 0.462273 | − | 0.273510i | ||||
\(395\) | 1.35173 | − | 3.26337i | 0.0680131 | − | 0.164198i | ||||
\(396\) | 0.441769 | − | 0.354209i | 0.0221997 | − | 0.0177997i | ||||
\(397\) | 7.93698 | + | 19.1616i | 0.398346 | + | 0.961692i | 0.988059 | + | 0.154079i | \(0.0492410\pi\) |
−0.589713 | + | 0.807613i | \(0.700759\pi\) | |||||||
\(398\) | −30.0212 | + | 4.27866i | −1.50482 | + | 0.214470i | ||||
\(399\) | 5.70864 | 0.285789 | ||||||||
\(400\) | −14.9266 | − | 3.32419i | −0.746332 | − | 0.166209i | ||||
\(401\) | 0.755052 | + | 0.755052i | 0.0377055 | + | 0.0377055i | 0.725708 | − | 0.688003i | \(-0.241512\pi\) |
−0.688003 | + | 0.725708i | \(0.741512\pi\) | |||||||
\(402\) | −9.74026 | + | 12.9781i | −0.485800 | + | 0.647290i | ||||
\(403\) | 0.0957514 | − | 15.4980i | 0.00476971 | − | 0.772009i | ||||
\(404\) | −22.9902 | − | 28.6733i | −1.14380 | − | 1.42655i | ||||
\(405\) | 2.10824 | + | 0.873264i | 0.104760 | + | 0.0433928i | ||||
\(406\) | −6.80476 | − | 11.5011i | −0.337715 | − | 0.570788i | ||||
\(407\) | −0.740038 | − | 0.740038i | −0.0366823 | − | 0.0366823i | ||||
\(408\) | 7.03137 | + | 6.59511i | 0.348105 | + | 0.326506i | ||||
\(409\) | 0.0318678 | 0.00157576 | 0.000787881 | − | 1.00000i | \(-0.499749\pi\) | ||||
0.000787881 | 1.00000i | \(0.499749\pi\) | ||||||||
\(410\) | 2.39774 | + | 4.05254i | 0.118416 | + | 0.200141i | ||||
\(411\) | −2.88884 | + | 6.97427i | −0.142496 | + | 0.344015i | ||||
\(412\) | −5.80884 | − | 3.19047i | −0.286181 | − | 0.157183i | ||||
\(413\) | −1.61790 | + | 3.90595i | −0.0796115 | + | 0.192199i | ||||
\(414\) | 11.8217 | − | 15.7515i | 0.581004 | − | 0.774142i | ||||
\(415\) | −19.1043 | −0.937792 | ||||||||
\(416\) | −15.5779 | + | 13.1654i | −0.763770 | + | 0.645488i | ||||
\(417\) | 9.20579 | 0.450810 | ||||||||
\(418\) | 0.723451 | − | 0.963941i | 0.0353851 | − | 0.0471479i | ||||
\(419\) | −4.18129 | + | 10.0945i | −0.204269 | + | 0.493150i | −0.992502 | − | 0.122227i | \(-0.960996\pi\) |
0.788233 | + | 0.615377i | \(0.210996\pi\) | |||||||
\(420\) | −0.919544 | + | 1.67420i | −0.0448692 | + | 0.0816927i | ||||
\(421\) | −0.830247 | + | 2.00439i | −0.0404638 | + | 0.0976882i | −0.942819 | − | 0.333304i | \(-0.891836\pi\) |
0.902356 | + | 0.430992i | \(0.141836\pi\) | |||||||
\(422\) | −4.51416 | − | 7.62961i | −0.219746 | − | 0.371404i | ||||
\(423\) | −1.89570 | −0.0921723 | ||||||||
\(424\) | −0.664027 | − | 20.7403i | −0.0322480 | − | 1.00724i | ||||
\(425\) | 10.0189 | + | 10.0189i | 0.485988 | + | 0.485988i | ||||
\(426\) | 4.28897 | + | 7.24901i | 0.207802 | + | 0.351216i | ||||
\(427\) | −10.3590 | − | 4.29083i | −0.501307 | − | 0.207648i | ||||
\(428\) | 0.401480 | − | 0.321905i | 0.0194063 | − | 0.0155599i | ||||
\(429\) | −0.00269235 | + | 0.435775i | −0.000129988 | + | 0.0210394i | ||||
\(430\) | −9.39736 | + | 12.5212i | −0.453181 | + | 0.603828i | ||||
\(431\) | −12.1398 | − | 12.1398i | −0.584753 | − | 0.584753i | 0.351453 | − | 0.936206i | \(-0.385688\pi\) |
−0.936206 | + | 0.351453i | \(0.885688\pi\) | |||||||
\(432\) | 10.8902 | − | 15.5211i | 0.523953 | − | 0.746757i | ||||
\(433\) | 8.31527 | 0.399607 | 0.199803 | − | 0.979836i | \(-0.435970\pi\) | ||||
0.199803 | + | 0.979836i | \(0.435970\pi\) | |||||||
\(434\) | 5.76090 | − | 0.821052i | 0.276532 | − | 0.0394117i | ||||
\(435\) | 3.76884 | + | 9.09879i | 0.180702 | + | 0.436253i | ||||
\(436\) | −4.71462 | − | 5.88007i | −0.225789 | − | 0.281604i | ||||
\(437\) | 16.0416 | − | 38.7278i | 0.767373 | − | 1.85260i | ||||
\(438\) | 8.90138 | − | 5.26662i | 0.425325 | − | 0.251649i | ||||
\(439\) | 6.02827 | + | 6.02827i | 0.287714 | + | 0.287714i | 0.836176 | − | 0.548462i | \(-0.184786\pi\) |
−0.548462 | + | 0.836176i | \(0.684786\pi\) | |||||||
\(440\) | 0.166167 | + | 0.367441i | 0.00792170 | + | 0.0175171i | ||||
\(441\) | −9.26708 | − | 9.26708i | −0.441289 | − | 0.441289i | ||||
\(442\) | 18.7247 | − | 2.55075i | 0.890645 | − | 0.121327i | ||||
\(443\) | −13.1370 | + | 5.44151i | −0.624156 | + | 0.258534i | −0.672268 | − | 0.740308i | \(-0.734680\pi\) |
0.0481116 | + | 0.998842i | \(0.484680\pi\) | |||||||
\(444\) | −12.8380 | − | 7.05120i | −0.609266 | − | 0.334635i | ||||
\(445\) | −9.28859 | − | 3.84746i | −0.440321 | − | 0.182387i | ||||
\(446\) | 29.4123 | − | 4.19189i | 1.39271 | − | 0.198492i | ||||
\(447\) | 4.65995 | − | 4.65995i | 0.220408 | − | 0.220408i | ||||
\(448\) | −5.75038 | − | 5.05761i | −0.271680 | − | 0.238950i | ||||
\(449\) | 4.60856 | − | 4.60856i | 0.217491 | − | 0.217491i | −0.589949 | − | 0.807440i | \(-0.700852\pi\) |
0.807440 | + | 0.589949i | \(0.200852\pi\) | |||||||
\(450\) | 6.99139 | − | 9.31547i | 0.329577 | − | 0.439135i | ||||
\(451\) | −0.154359 | + | 0.372654i | −0.00726846 | + | 0.0175476i | ||||
\(452\) | 22.6046 | − | 6.57686i | 1.06323 | − | 0.309350i | ||||
\(453\) | −3.72559 | − | 1.54319i | −0.175043 | − | 0.0725053i | ||||
\(454\) | 5.89426 | + | 1.51216i | 0.276632 | + | 0.0709690i | ||||
\(455\) | 1.41150 | + | 3.46811i | 0.0661721 | + | 0.162587i | ||||
\(456\) | 5.95289 | − | 15.7820i | 0.278770 | − | 0.739059i | ||||
\(457\) | − | 35.3037i | − | 1.65144i | −0.564081 | − | 0.825719i | \(-0.690769\pi\) | ||
0.564081 | − | 0.825719i | \(-0.309231\pi\) | |||||||
\(458\) | 11.4881 | + | 19.4165i | 0.536801 | + | 0.907275i | ||||
\(459\) | −16.2303 | + | 6.72280i | −0.757565 | + | 0.313793i | ||||
\(460\) | 8.77394 | + | 10.9429i | 0.409087 | + | 0.510213i | ||||
\(461\) | 21.0076 | − | 8.70162i | 0.978420 | − | 0.405275i | 0.164580 | − | 0.986364i | \(-0.447373\pi\) |
0.813840 | + | 0.581089i | \(0.197373\pi\) | |||||||
\(462\) | −0.161986 | + | 0.0230865i | −0.00753627 | + | 0.00107408i | ||||
\(463\) | 8.06505 | − | 8.06505i | 0.374815 | − | 0.374815i | −0.494413 | − | 0.869227i | \(-0.664617\pi\) |
0.869227 | + | 0.494413i | \(0.164617\pi\) | |||||||
\(464\) | −38.8915 | + | 6.81915i | −1.80549 | + | 0.316571i | ||||
\(465\) | −4.28854 | −0.198876 | ||||||||
\(466\) | −23.0691 | + | 3.28784i | −1.06865 | + | 0.152306i | ||||
\(467\) | −3.66753 | + | 8.85420i | −0.169713 | + | 0.409724i | −0.985737 | − | 0.168295i | \(-0.946174\pi\) |
0.816024 | + | 0.578019i | \(0.196174\pi\) | |||||||
\(468\) | −4.24759 | − | 14.9424i | −0.196345 | − | 0.690714i | ||||
\(469\) | −11.0341 | + | 4.57046i | −0.509506 | + | 0.211044i | ||||
\(470\) | 0.335499 | − | 1.30775i | 0.0154754 | − | 0.0603220i | ||||
\(471\) | −5.33297 | + | 5.33297i | −0.245730 | + | 0.245730i | ||||
\(472\) | 9.11118 | + | 8.54587i | 0.419376 | + | 0.393356i | ||||
\(473\) | −1.34107 | −0.0616623 | ||||||||
\(474\) | 3.64452 | − | 2.15633i | 0.167398 | − | 0.0990434i | ||||
\(475\) | 9.48704 | − | 22.9037i | 0.435295 | − | 1.05090i | ||||
\(476\) | 1.98225 | + | 6.81297i | 0.0908565 | + | 0.312272i | ||||
\(477\) | 14.6017 | + | 6.04820i | 0.668564 | + | 0.276928i | ||||
\(478\) | −2.20128 | − | 15.4452i | −0.100684 | − | 0.706449i | ||||
\(479\) | −6.59692 | − | 6.59692i | −0.301421 | − | 0.301421i | 0.540149 | − | 0.841570i | \(-0.318368\pi\) |
−0.841570 | + | 0.540149i | \(0.818368\pi\) | |||||||
\(480\) | 3.66958 | + | 4.28799i | 0.167493 | + | 0.195719i | ||||
\(481\) | −26.5940 | + | 10.8236i | −1.21258 | + | 0.493513i | ||||
\(482\) | −1.79669 | − | 12.6064i | −0.0818369 | − | 0.574207i | ||||
\(483\) | −5.25774 | + | 2.17783i | −0.239236 | + | 0.0990946i | ||||
\(484\) | 10.5744 | − | 19.2526i | 0.480653 | − | 0.875120i | ||||
\(485\) | 11.4570 | − | 4.74563i | 0.520234 | − | 0.215488i | ||||
\(486\) | 11.6336 | + | 19.6625i | 0.527710 | + | 0.891909i | ||||
\(487\) | 2.51008i | 0.113743i | 0.998382 | + | 0.0568714i | \(0.0181125\pi\) | ||||
−0.998382 | + | 0.0568714i | \(0.981888\pi\) | |||||||
\(488\) | −22.6646 | + | 24.1638i | −1.02598 | + | 1.09385i | ||||
\(489\) | 18.0849 | 0.817827 | ||||||||
\(490\) | 8.03296 | − | 4.75281i | 0.362892 | − | 0.214710i | ||||
\(491\) | 27.2410 | − | 11.2836i | 1.22937 | − | 0.509221i | 0.328991 | − | 0.944333i | \(-0.393291\pi\) |
0.900376 | + | 0.435112i | \(0.143291\pi\) | |||||||
\(492\) | −0.617255 | + | 5.61124i | −0.0278280 | + | 0.252974i | ||||
\(493\) | 33.7993 | + | 14.0001i | 1.52224 | + | 0.630534i | ||||
\(494\) | −16.6608 | − | 28.5603i | −0.749603 | − | 1.28499i | ||||
\(495\) | −0.307144 | −0.0138051 | ||||||||
\(496\) | 3.73752 | − | 16.7826i | 0.167820 | − | 0.753563i | ||||
\(497\) | 6.19936i | 0.278079i | ||||||||
\(498\) | −18.3180 | − | 13.7479i | −0.820851 | − | 0.616060i | ||||
\(499\) | 7.40814 | + | 17.8848i | 0.331634 | + | 0.800635i | 0.998463 | + | 0.0554240i | \(0.0176510\pi\) |
−0.666829 | + | 0.745211i | \(0.732349\pi\) | |||||||
\(500\) | 11.9753 | + | 14.9356i | 0.535550 | + | 0.667938i | ||||
\(501\) | −2.84199 | + | 6.86118i | −0.126971 | + | 0.306535i | ||||
\(502\) | −3.04074 | + | 11.8526i | −0.135715 | + | 0.529006i | ||||
\(503\) | 28.9653 | − | 28.9653i | 1.29150 | − | 1.29150i | 0.357641 | − | 0.933859i | \(-0.383581\pi\) |
0.933859 | − | 0.357641i | \(-0.116419\pi\) | |||||||
\(504\) | 5.31452 | − | 2.40337i | 0.236727 | − | 0.107054i | ||||
\(505\) | 19.9354i | 0.887112i | ||||||||
\(506\) | −0.298569 | + | 1.16380i | −0.0132730 | + | 0.0517372i | ||||
\(507\) | 10.9881 | + | 4.71130i | 0.487997 | + | 0.209236i | ||||
\(508\) | −9.01467 | − | 30.9833i | −0.399961 | − | 1.37466i | ||||
\(509\) | 4.91114 | + | 11.8565i | 0.217682 | + | 0.525532i | 0.994565 | − | 0.104113i | \(-0.0332004\pi\) |
−0.776883 | + | 0.629645i | \(0.783200\pi\) | |||||||
\(510\) | −0.737817 | − | 5.17688i | −0.0326711 | − | 0.229236i | ||||
\(511\) | 7.61248 | 0.336756 | ||||||||
\(512\) | −19.9786 | + | 10.6234i | −0.882937 | + | 0.469492i | ||||
\(513\) | 21.7346 | + | 21.7346i | 0.959606 | + | 0.959606i | ||||
\(514\) | 6.18495 | − | 8.24095i | 0.272807 | − | 0.363493i | ||||
\(515\) | 1.37570 | + | 3.32123i | 0.0606205 | + | 0.146351i | ||||
\(516\) | −18.0212 | + | 5.24333i | −0.793341 | + | 0.230825i | ||||
\(517\) | 0.106848 | − | 0.0442579i | 0.00469918 | − | 0.00194646i | ||||
\(518\) | −5.48955 | − | 9.27817i | −0.241197 | − | 0.407659i | ||||
\(519\) | −5.20248 | + | 5.20248i | −0.228363 | + | 0.228363i | ||||
\(520\) | 11.0598 | − | 0.285704i | 0.485002 | − | 0.0125290i | ||||
\(521\) | −12.6561 | − | 12.6561i | −0.554472 | − | 0.554472i | 0.373256 | − | 0.927728i | \(-0.378241\pi\) |
−0.927728 | + | 0.373256i | \(0.878241\pi\) | |||||||
\(522\) | 7.47316 | − | 29.1298i | 0.327091 | − | 1.27498i | ||||
\(523\) | 12.2592 | + | 29.5963i | 0.536058 | + | 1.29416i | 0.927455 | + | 0.373936i | \(0.121992\pi\) |
−0.391397 | + | 0.920222i | \(0.628008\pi\) | |||||||
\(524\) | 10.4896 | + | 1.15389i | 0.458240 | + | 0.0504079i | ||||
\(525\) | −3.10945 | + | 1.28798i | −0.135707 | + | 0.0562118i | ||||
\(526\) | 2.39546 | + | 16.8077i | 0.104447 | + | 0.732850i | ||||
\(527\) | −11.2647 | + | 11.2647i | −0.490697 | + | 0.490697i | ||||
\(528\) | −0.105092 | + | 0.471898i | −0.00457356 | + | 0.0205367i | ||||
\(529\) | 18.7887i | 0.816900i | ||||||||
\(530\) | −6.75653 | + | 9.00253i | −0.293485 | + | 0.391045i | ||||
\(531\) | −8.79002 | + | 3.64094i | −0.381454 | + | 0.158004i | ||||
\(532\) | 9.68580 | − | 7.76604i | 0.419933 | − | 0.336701i | ||||
\(533\) | 7.77630 | + | 7.87299i | 0.336829 | + | 0.341017i | ||||
\(534\) | −6.13759 | − | 10.3734i | −0.265599 | − | 0.448903i | ||||
\(535\) | −0.279132 | −0.0120679 | ||||||||
\(536\) | 1.12923 | + | 35.2706i | 0.0487753 | + | 1.52346i | ||||
\(537\) | −2.08209 | − | 2.08209i | −0.0898488 | − | 0.0898488i | ||||
\(538\) | 16.7140 | − | 9.88906i | 0.720591 | − | 0.426348i | ||||
\(539\) | 0.738676 | + | 0.305970i | 0.0318170 | + | 0.0131791i | ||||
\(540\) | −9.87522 | + | 2.87322i | −0.424962 | + | 0.123644i | ||||
\(541\) | −25.8839 | + | 10.7215i | −1.11284 | + | 0.460952i | −0.861914 | − | 0.507055i | \(-0.830734\pi\) |
−0.250923 | + | 0.968007i | \(0.580734\pi\) | |||||||
\(542\) | 12.9905 | − | 1.85142i | 0.557988 | − | 0.0795253i | ||||
\(543\) | 10.0517 | 0.431359 | ||||||||
\(544\) | 20.9021 | + | 1.62437i | 0.896169 | + | 0.0696444i | ||||
\(545\) | 4.08817i | 0.175118i | ||||||||
\(546\) | −1.14234 | + | 4.34113i | −0.0488874 | + | 0.185783i | ||||
\(547\) | −1.49945 | + | 3.61999i | −0.0641117 | + | 0.154779i | −0.952688 | − | 0.303949i | \(-0.901695\pi\) |
0.888577 | + | 0.458728i | \(0.151695\pi\) | |||||||
\(548\) | 4.58634 | + | 15.7632i | 0.195919 | + | 0.673369i | ||||
\(549\) | −9.65617 | − | 23.3121i | −0.412115 | − | 0.994934i | ||||
\(550\) | −0.176575 | + | 0.688274i | −0.00752917 | + | 0.0293481i | ||||
\(551\) | − | 64.0100i | − | 2.72692i | ||||||
\(552\) | 0.538079 | + | 16.8065i | 0.0229022 | + | 0.715330i | ||||
\(553\) | 3.11680 | 0.132540 | ||||||||
\(554\) | −6.30443 | + | 24.5742i | −0.267850 | + | 1.04406i | ||||
\(555\) | 3.04041 | + | 7.34020i | 0.129058 | + | 0.311574i | ||||
\(556\) | 15.6194 | − | 12.5236i | 0.662410 | − | 0.531118i | ||||
\(557\) | 7.43428 | + | 17.9479i | 0.315000 | + | 0.760478i | 0.999505 | + | 0.0314695i | \(0.0100187\pi\) |
−0.684504 | + | 0.729009i | \(0.739981\pi\) | |||||||
\(558\) | 10.4738 | + | 7.86071i | 0.443390 | + | 0.332770i | ||||
\(559\) | −14.2892 | + | 33.9033i | −0.604370 | + | 1.43396i | ||||
\(560\) | 0.717405 | + | 4.09156i | 0.0303159 | + | 0.172900i | ||||
\(561\) | 0.316742 | − | 0.316742i | 0.0133729 | − | 0.0133729i | ||||
\(562\) | −6.27227 | + | 8.35730i | −0.264580 | + | 0.352532i | ||||
\(563\) | 1.17383 | − | 2.83387i | 0.0494710 | − | 0.119434i | −0.897212 | − | 0.441600i | \(-0.854411\pi\) |
0.946683 | + | 0.322166i | \(0.104411\pi\) | |||||||
\(564\) | 1.26278 | − | 1.01249i | 0.0531728 | − | 0.0426337i | ||||
\(565\) | −11.7978 | − | 4.88680i | −0.496337 | − | 0.205589i | ||||
\(566\) | 11.1951 | − | 43.6375i | 0.470564 | − | 1.83422i | ||||
\(567\) | 2.01355i | 0.0845611i | ||||||||
\(568\) | 17.1386 | + | 6.46461i | 0.719121 | + | 0.271249i | ||||
\(569\) | −28.1084 | − | 28.1084i | −1.17836 | − | 1.17836i | −0.980161 | − | 0.198203i | \(-0.936489\pi\) |
−0.198203 | − | 0.980161i | \(-0.563511\pi\) | |||||||
\(570\) | −7.87433 | + | 4.65895i | −0.329819 | + | 0.195142i | ||||
\(571\) | −6.22639 | − | 15.0318i | −0.260566 | − | 0.629062i | 0.738408 | − | 0.674355i | \(-0.235578\pi\) |
−0.998974 | + | 0.0452923i | \(0.985578\pi\) | |||||||
\(572\) | 0.588261 | + | 0.743039i | 0.0245964 | + | 0.0310680i | ||||
\(573\) | 18.4951 | + | 7.66093i | 0.772644 | + | 0.320040i | ||||
\(574\) | −2.49404 | + | 3.32311i | −0.104099 | + | 0.138704i | ||||
\(575\) | 24.7140i | 1.03064i | ||||||||
\(576\) | −1.10240 | − | 17.1986i | −0.0459332 | − | 0.716608i | ||||
\(577\) | −11.2012 | − | 11.2012i | −0.466314 | − | 0.466314i | 0.434404 | − | 0.900718i | \(-0.356959\pi\) |
−0.900718 | + | 0.434404i | \(0.856959\pi\) | |||||||
\(578\) | 3.69247 | + | 2.77125i | 0.153587 | + | 0.115269i | ||||
\(579\) | −5.91672 | − | 14.2842i | −0.245891 | − | 0.593632i | ||||
\(580\) | 18.7726 | + | 10.3107i | 0.779489 | + | 0.428129i | ||||
\(581\) | −6.45099 | − | 15.5741i | −0.267632 | − | 0.646122i | ||||
\(582\) | 14.4005 | + | 3.69441i | 0.596921 | + | 0.153138i | ||||
\(583\) | −0.964201 | −0.0399331 | ||||||||
\(584\) | 7.93818 | − | 21.0453i | 0.328484 | − | 0.870861i | ||||
\(585\) | −3.27265 | + | 7.76485i | −0.135308 | + | 0.321037i | ||||
\(586\) | −2.14779 | − | 3.63009i | −0.0887244 | − | 0.149958i | ||||
\(587\) | −13.0128 | + | 31.4157i | −0.537097 | + | 1.29667i | 0.389644 | + | 0.920966i | \(0.372598\pi\) |
−0.926741 | + | 0.375701i | \(0.877402\pi\) | |||||||
\(588\) | 11.1226 | + | 1.22352i | 0.458689 | + | 0.0504573i | ||||
\(589\) | 25.7516 | + | 10.6667i | 1.06108 | + | 0.439513i | ||||
\(590\) | −0.956056 | − | 6.70815i | −0.0393602 | − | 0.276170i | ||||
\(591\) | −4.90251 | − | 4.90251i | −0.201662 | − | 0.201662i | ||||
\(592\) | −31.3747 | + | 5.50117i | −1.28949 | + | 0.226097i | ||||
\(593\) | −10.5782 | − | 10.5782i | −0.434394 | − | 0.434394i | 0.455726 | − | 0.890120i | \(-0.349380\pi\) |
−0.890120 | + | 0.455726i | \(0.849380\pi\) | |||||||
\(594\) | −0.704630 | − | 0.528835i | −0.0289113 | − | 0.0216983i | ||||
\(595\) | 1.47287 | − | 3.55583i | 0.0603819 | − | 0.145775i | ||||
\(596\) | 1.56710 | − | 14.2459i | 0.0641908 | − | 0.583535i | ||||
\(597\) | 7.54645 | + | 18.2188i | 0.308856 | + | 0.745644i | ||||
\(598\) | 26.2405 | + | 19.9485i | 1.07305 | + | 0.815754i | ||||
\(599\) | −3.43937 | + | 3.43937i | −0.140529 | + | 0.140529i | −0.773871 | − | 0.633343i | \(-0.781682\pi\) |
0.633343 | + | 0.773871i | \(0.281682\pi\) | |||||||
\(600\) | 0.318222 | + | 9.93940i | 0.0129914 | + | 0.405774i | ||||
\(601\) | 6.69053 | − | 6.69053i | 0.272913 | − | 0.272913i | −0.557359 | − | 0.830272i | \(-0.688185\pi\) |
0.830272 | + | 0.557359i | \(0.188185\pi\) | |||||||
\(602\) | −13.3807 | − | 3.43279i | −0.545358 | − | 0.139910i | ||||
\(603\) | −24.8313 | − | 10.2854i | −1.01121 | − | 0.418856i | ||||
\(604\) | −8.42053 | + | 2.44998i | −0.342627 | + | 0.0996882i | ||||
\(605\) | −11.0078 | + | 4.55957i | −0.447529 | + | 0.185373i | ||||
\(606\) | −14.3460 | + | 19.1149i | −0.582768 | + | 0.776491i | ||||
\(607\) | 26.6548i | 1.08189i | 0.841059 | + | 0.540943i | \(0.181933\pi\) | ||||
−0.841059 | + | 0.540943i | \(0.818067\pi\) | |||||||
\(608\) | −11.3696 | − | 34.8755i | −0.461099 | − | 1.41439i | ||||
\(609\) | −6.14483 | + | 6.14483i | −0.249001 | + | 0.249001i | ||||
\(610\) | 17.7907 | − | 2.53556i | 0.720326 | − | 0.102662i | ||||
\(611\) | 0.0196025 | − | 3.17278i | 0.000793030 | − | 0.128357i | ||||
\(612\) | −7.68705 | + | 13.9957i | −0.310731 | + | 0.565744i | ||||
\(613\) | 9.46821 | − | 22.8583i | 0.382418 | − | 0.923238i | −0.609080 | − | 0.793109i | \(-0.708461\pi\) |
0.991497 | − | 0.130128i | \(-0.0415390\pi\) | |||||||
\(614\) | −39.3411 | − | 10.0928i | −1.58768 | − | 0.407314i | ||||
\(615\) | 2.16521 | − | 2.16521i | 0.0873096 | − | 0.0873096i | ||||
\(616\) | −0.243434 | + | 0.259537i | −0.00980822 | + | 0.0104570i | ||||
\(617\) | 44.5338i | 1.79286i | 0.443184 | + | 0.896431i | \(0.353849\pi\) | ||||
−0.443184 | + | 0.896431i | \(0.646151\pi\) | |||||||
\(618\) | −1.07096 | + | 4.17453i | −0.0430805 | + | 0.167924i | ||||
\(619\) | 6.13011 | + | 2.53917i | 0.246390 | + | 0.102058i | 0.502461 | − | 0.864600i | \(-0.332428\pi\) |
−0.256071 | + | 0.966658i | \(0.582428\pi\) | |||||||
\(620\) | −7.27633 | + | 5.83414i | −0.292225 | + | 0.234305i | ||||
\(621\) | −28.3096 | − | 11.7262i | −1.13602 | − | 0.470557i | ||||
\(622\) | 1.36596 | + | 9.58426i | 0.0547701 | + | 0.384294i | ||||
\(623\) | − | 8.87138i | − | 0.355424i | ||||||
\(624\) | 10.8102 | + | 7.68495i | 0.432754 | + | 0.307644i | ||||
\(625\) | 8.73133i | 0.349253i | ||||||||
\(626\) | 9.30314 | − | 1.32590i | 0.371828 | − | 0.0529935i | ||||
\(627\) | −0.724089 | − | 0.299928i | −0.0289173 | − | 0.0119780i | ||||
\(628\) | −1.79343 | + | 16.3034i | −0.0715656 | + | 0.650577i | ||||
\(629\) | 27.2666 | + | 11.2942i | 1.08719 | + | 0.450330i | ||||
\(630\) | −3.06458 | − | 0.786209i | −0.122096 | − | 0.0313233i | ||||
\(631\) | 43.5093i | 1.73208i | 0.499978 | + | 0.866038i | \(0.333341\pi\) | ||||
−0.499978 | + | 0.866038i | \(0.666659\pi\) | |||||||
\(632\) | 3.25015 | − | 8.61663i | 0.129284 | − | 0.342751i | ||||
\(633\) | −4.07638 | + | 4.07638i | −0.162021 | + | 0.162021i | ||||
\(634\) | −2.53424 | + | 9.87828i | −0.100648 | + | 0.392317i | ||||
\(635\) | −6.69816 | + | 16.1708i | −0.265809 | + | 0.641719i | ||||
\(636\) | −12.9569 | + | 3.76985i | −0.513775 | + | 0.149484i | ||||
\(637\) | 15.6059 | − | 15.4142i | 0.618327 | − | 0.610733i | ||||
\(638\) | 0.258865 | + | 1.81632i | 0.0102486 | + | 0.0719089i | ||||
\(639\) | −9.86496 | + | 9.86496i | −0.390252 | + | 0.390252i | ||||
\(640\) | 12.0595 | + | 2.28330i | 0.476695 | + | 0.0902552i | ||||
\(641\) | − | 38.1180i | − | 1.50557i | −0.658266 | − | 0.752785i | \(-0.728710\pi\) | ||
0.658266 | − | 0.752785i | \(-0.271290\pi\) | |||||||
\(642\) | −0.267645 | − | 0.200871i | −0.0105631 | − | 0.00792775i | ||||
\(643\) | 19.2115 | − | 7.95767i | 0.757628 | − | 0.313820i | 0.0297786 | − | 0.999557i | \(-0.490520\pi\) |
0.727850 | + | 0.685737i | \(0.240520\pi\) | |||||||
\(644\) | −5.95805 | + | 10.8477i | −0.234780 | + | 0.427461i | ||||
\(645\) | 9.40566 | + | 3.89595i | 0.370347 | + | 0.153403i | ||||
\(646\) | −8.44579 | + | 32.9210i | −0.332295 | + | 1.29526i | ||||
\(647\) | 16.8989 | − | 16.8989i | 0.664365 | − | 0.664365i | −0.292041 | − | 0.956406i | \(-0.594334\pi\) |
0.956406 | + | 0.292041i | \(0.0943344\pi\) | |||||||
\(648\) | 5.56662 | + | 2.09970i | 0.218677 | + | 0.0824841i | ||||
\(649\) | 0.410431 | − | 0.410431i | 0.0161108 | − | 0.0161108i | ||||
\(650\) | 15.5187 | + | 11.7976i | 0.608694 | + | 0.462740i | ||||
\(651\) | −1.44812 | − | 3.49608i | −0.0567564 | − | 0.137022i | ||||
\(652\) | 30.6845 | − | 24.6027i | 1.20170 | − | 0.963517i | ||||
\(653\) | 18.8452 | − | 45.4963i | 0.737469 | − | 1.78041i | 0.121571 | − | 0.992583i | \(-0.461207\pi\) |
0.615898 | − | 0.787826i | \(-0.288793\pi\) | |||||||
\(654\) | −2.94196 | + | 3.91992i | −0.115040 | + | 0.153281i | ||||
\(655\) | −4.04761 | − | 4.04761i | −0.158153 | − | 0.158153i | ||||
\(656\) | 6.58625 | + | 10.3603i | 0.257150 | + | 0.404500i | ||||
\(657\) | 12.1136 | + | 12.1136i | 0.472598 | + | 0.472598i | ||||
\(658\) | 1.17939 | − | 0.168088i | 0.0459772 | − | 0.00655274i | ||||
\(659\) | 14.8536 | + | 6.15257i | 0.578615 | + | 0.239670i | 0.652744 | − | 0.757578i | \(-0.273618\pi\) |
−0.0741291 | + | 0.997249i | \(0.523618\pi\) | |||||||
\(660\) | 0.204597 | − | 0.164045i | 0.00796394 | − | 0.00638546i | ||||
\(661\) | 12.5578 | − | 30.3173i | 0.488443 | − | 1.17921i | −0.467060 | − | 0.884226i | \(-0.654687\pi\) |
0.955503 | − | 0.294980i | \(-0.0953132\pi\) | |||||||
\(662\) | 17.6266 | − | 10.4290i | 0.685079 | − | 0.405336i | ||||
\(663\) | −4.63258 | − | 11.3824i | −0.179914 | − | 0.442057i | ||||
\(664\) | −49.7828 | + | 1.59386i | −1.93195 | + | 0.0618536i | ||||
\(665\) | −6.73413 | −0.261139 | ||||||||
\(666\) | 6.02877 | − | 23.4997i | 0.233610 | − | 0.910594i | ||||
\(667\) | 24.4196 | + | 58.9542i | 0.945532 | + | 2.28272i | ||||
\(668\) | 4.51197 | + | 15.5076i | 0.174574 | + | 0.600006i | ||||
\(669\) | −7.39342 | − | 17.8493i | −0.285846 | − | 0.690093i | ||||
\(670\) | 11.4900 | − | 15.3095i | 0.443897 | − | 0.591458i | ||||
\(671\) | 1.08851 | + | 1.08851i | 0.0420213 | + | 0.0420213i | ||||
\(672\) | −2.25651 | + | 4.43943i | −0.0870469 | + | 0.171255i | ||||
\(673\) | − | 6.92663i | − | 0.267002i | −0.991049 | − | 0.133501i | \(-0.957378\pi\) | ||
0.991049 | − | 0.133501i | \(-0.0426219\pi\) | |||||||
\(674\) | 17.0250 | + | 12.7775i | 0.655780 | + | 0.492172i | ||||
\(675\) | −16.7424 | − | 6.93492i | −0.644415 | − | 0.266925i | ||||
\(676\) | 25.0526 | − | 6.95455i | 0.963563 | − | 0.267483i | ||||
\(677\) | 12.9679 | + | 31.3073i | 0.498398 | + | 1.20324i | 0.950346 | + | 0.311194i | \(0.100729\pi\) |
−0.451949 | + | 0.892044i | \(0.649271\pi\) | |||||||
\(678\) | −7.79557 | − | 13.1757i | −0.299387 | − | 0.506009i | ||||
\(679\) | 7.73741 | + | 7.73741i | 0.296935 | + | 0.296935i | ||||
\(680\) | −8.29449 | − | 7.77985i | −0.318079 | − | 0.298344i | ||||
\(681\) | − | 3.95713i | − | 0.151637i | ||||||
\(682\) | −0.773855 | − | 0.198530i | −0.0296325 | − | 0.00760212i | ||||
\(683\) | −43.6095 | − | 18.0636i | −1.66867 | − | 0.691186i | −0.669981 | − | 0.742378i | \(-0.733698\pi\) |
−0.998689 | + | 0.0511923i | \(0.983698\pi\) | |||||||
\(684\) | 27.7709 | + | 3.05489i | 1.06185 | + | 0.116807i | ||||
\(685\) | 3.40779 | − | 8.22713i | 0.130205 | − | 0.314342i | ||||
\(686\) | 14.1663 | + | 10.6320i | 0.540873 | + | 0.405933i | ||||
\(687\) | 10.3739 | − | 10.3739i | 0.395790 | − | 0.395790i | ||||
\(688\) | −23.4435 | + | 33.4124i | −0.893773 | + | 1.27384i | ||||
\(689\) | −10.2737 | + | 24.3758i | −0.391396 | + | 0.928644i | ||||
\(690\) | 5.47500 | − | 7.29500i | 0.208430 | − | 0.277716i | ||||
\(691\) | −16.8769 | − | 40.7444i | −0.642027 | − | 1.54999i | −0.823941 | − | 0.566675i | \(-0.808229\pi\) |
0.181915 | − | 0.983314i | \(-0.441771\pi\) | |||||||
\(692\) | −1.74954 | + | 15.9045i | −0.0665077 | + | 0.604597i | ||||
\(693\) | −0.103714 | − | 0.250388i | −0.00393977 | − | 0.00951146i | ||||
\(694\) | −18.3586 | − | 4.70983i | −0.696881 | − | 0.178783i | ||||
\(695\) | −10.8595 | −0.411925 | ||||||||
\(696\) | 10.5801 | + | 23.3956i | 0.401039 | + | 0.886808i | ||||
\(697\) | − | 11.3747i | − | 0.430846i | ||||||
\(698\) | 17.3241 | + | 4.44443i | 0.655725 | + | 0.168224i | ||||
\(699\) | 5.79890 | + | 13.9998i | 0.219335 | + | 0.529520i | ||||
\(700\) | −3.52361 | + | 6.41540i | −0.133180 | + | 0.242479i | ||||
\(701\) | 7.36702 | − | 17.7856i | 0.278249 | − | 0.671752i | −0.721539 | − | 0.692374i | \(-0.756565\pi\) |
0.999787 | + | 0.0206225i | \(0.00656481\pi\) | |||||||
\(702\) | −20.8773 | + | 12.1788i | −0.787963 | + | 0.459660i | ||||
\(703\) | − | 51.6384i | − | 1.94758i | ||||||
\(704\) | 0.463661 | + | 0.943633i | 0.0174749 | + | 0.0355645i | ||||
\(705\) | −0.877960 | −0.0330659 | ||||||||
\(706\) | 4.57726 | + | 32.1163i | 0.172267 | + | 1.20871i | ||||
\(707\) | −16.2516 | + | 6.73164i | −0.611205 | + | 0.253169i | ||||
\(708\) | 3.91066 | − | 7.12008i | 0.146971 | − | 0.267589i | ||||
\(709\) | −24.7152 | − | 10.2374i | −0.928200 | − | 0.384473i | −0.133205 | − | 0.991089i | \(-0.542527\pi\) |
−0.794995 | + | 0.606616i | \(0.792527\pi\) | |||||||
\(710\) | −5.05944 | − | 8.55122i | −0.189878 | − | 0.320922i | ||||
\(711\) | 4.95971 | + | 4.95971i | 0.186004 | + | 0.186004i | ||||
\(712\) | −24.5256 | − | 9.25095i | −0.919137 | − | 0.346694i | ||||
\(713\) | −27.7870 | −1.04063 | ||||||||
\(714\) | 3.97113 | − | 2.34957i | 0.148616 | − | 0.0879305i | ||||
\(715\) | 0.00317601 | − | 0.514057i | 0.000118776 | − | 0.0192247i | ||||
\(716\) | −6.36514 | − | 0.700187i | −0.237877 | − | 0.0261672i | ||||
\(717\) | −9.37316 | + | 3.88249i | −0.350047 | + | 0.144994i | ||||
\(718\) | −23.9575 | − | 17.9804i | −0.894086 | − | 0.671024i | ||||
\(719\) | − | 22.0630i | − | 0.822810i | −0.911453 | − | 0.411405i | \(-0.865038\pi\) | ||
0.911453 | − | 0.411405i | \(-0.134962\pi\) | |||||||
\(720\) | −5.36924 | + | 7.65243i | −0.200100 | + | 0.285189i | ||||
\(721\) | −2.24298 | + | 2.24298i | −0.0835328 | + | 0.0835328i | ||||
\(722\) | 32.2701 | − | 4.59919i | 1.20097 | − | 0.171164i | ||||
\(723\) | −7.65039 | + | 3.16889i | −0.284521 | + | 0.117852i | ||||
\(724\) | 17.0546 | − | 13.6743i | 0.633830 | − | 0.508203i | ||||
\(725\) | 14.4419 | + | 34.8657i | 0.536357 | + | 1.29488i | ||||
\(726\) | −13.8359 | − | 3.54957i | −0.513499 | − | 0.131737i | ||||
\(727\) | −11.1635 | − | 11.1635i | −0.414033 | − | 0.414033i | 0.469108 | − | 0.883141i | \(-0.344576\pi\) |
−0.883141 | + | 0.469108i | \(0.844576\pi\) | |||||||
\(728\) | 3.96749 | + | 8.91960i | 0.147045 | + | 0.330582i | ||||
\(729\) | 6.04326 | − | 6.04326i | 0.223824 | − | 0.223824i | ||||
\(730\) | −10.5004 | + | 6.21272i | −0.388638 | + | 0.229943i | ||||
\(731\) | 34.9392 | − | 14.4723i | 1.29227 | − | 0.535277i | ||||
\(732\) | 18.8832 | + | 10.3715i | 0.697944 | + | 0.383341i | ||||
\(733\) | −4.23730 | − | 10.2297i | −0.156508 | − | 0.377844i | 0.826103 | − | 0.563519i | \(-0.190553\pi\) |
−0.982611 | + | 0.185675i | \(0.940553\pi\) | |||||||
\(734\) | −30.8552 | − | 23.1572i | −1.13888 | − | 0.854749i | ||||
\(735\) | −4.29188 | − | 4.29188i | −0.158308 | − | 0.158308i | ||||
\(736\) | 23.7765 | + | 27.7834i | 0.876413 | + | 1.02411i | ||||
\(737\) | 1.63970 | 0.0603991 | ||||||||
\(738\) | −9.25675 | + | 1.31929i | −0.340745 | + | 0.0485636i | ||||
\(739\) | 3.30285 | + | 7.97377i | 0.121497 | + | 0.293320i | 0.972913 | − | 0.231171i | \(-0.0742557\pi\) |
−0.851416 | + | 0.524491i | \(0.824256\pi\) | |||||||
\(740\) | 15.1443 | + | 8.31788i | 0.556714 | + | 0.305771i | ||||
\(741\) | −15.2977 | + | 15.1098i | −0.561974 | + | 0.555073i | ||||
\(742\) | −9.62049 | − | 2.46811i | −0.353179 | − | 0.0906071i | ||||
\(743\) | − | 25.2542i | − | 0.926486i | −0.886231 | − | 0.463243i | \(-0.846686\pi\) | ||
0.886231 | − | 0.463243i | \(-0.153314\pi\) | |||||||
\(744\) | −11.1753 | + | 0.357790i | −0.409706 | + | 0.0131172i | ||||
\(745\) | −5.49706 | + | 5.49706i | −0.201397 | + | 0.201397i | ||||
\(746\) | 32.9981 | + | 8.46556i | 1.20815 | + | 0.309946i | ||||
\(747\) | 14.5174 | − | 35.0482i | 0.531165 | − | 1.28235i | ||||
\(748\) | 0.106517 | − | 0.968310i | 0.00389466 | − | 0.0354049i | ||||
\(749\) | −0.0942554 | − | 0.227553i | −0.00344402 | − | 0.00831459i | ||||
\(750\) | 7.47265 | − | 9.95671i | 0.272863 | − | 0.363568i | ||||
\(751\) | 18.0837i | 0.659885i | 0.944001 | + | 0.329942i | \(0.107029\pi\) | ||||
−0.944001 | + | 0.329942i | \(0.892971\pi\) | |||||||
\(752\) | 0.765155 | − | 3.43578i | 0.0279023 | − | 0.125290i | ||||
\(753\) | 7.95725 | 0.289978 | ||||||||
\(754\) | 48.6764 | + | 12.8088i | 1.77269 | + | 0.466470i | ||||
\(755\) | 4.39485 | + | 1.82041i | 0.159945 | + | 0.0662514i | ||||
\(756\) | −5.67689 | − | 7.08021i | −0.206466 | − | 0.257505i | ||||
\(757\) | 11.3431 | − | 4.69845i | 0.412271 | − | 0.170768i | −0.166901 | − | 0.985974i | \(-0.553376\pi\) |
0.579172 | + | 0.815206i | \(0.303376\pi\) | |||||||
\(758\) | −7.78928 | − | 13.1650i | −0.282919 | − | 0.478176i | ||||
\(759\) | 0.781319 | 0.0283601 | ||||||||
\(760\) | −7.02226 | + | 18.6171i | −0.254724 | + | 0.675312i | ||||
\(761\) | 20.4508i | 0.741341i | 0.928765 | + | 0.370670i | \(0.120872\pi\) | ||||
−0.928765 | + | 0.370670i | \(0.879128\pi\) | |||||||
\(762\) | −18.0594 | + | 10.6851i | −0.654225 | + | 0.387081i | ||||
\(763\) | −3.33273 | + | 1.38046i | −0.120653 | + | 0.0499761i | ||||
\(764\) | 41.8025 | − | 12.1625i | 1.51236 | − | 0.440026i | ||||
\(765\) | 8.00211 | − | 3.31458i | 0.289317 | − | 0.119839i | ||||
\(766\) | 7.82289 | − | 1.11493i | 0.282653 | − | 0.0402841i | ||||
\(767\) | −6.00285 | − | 14.7492i | −0.216750 | − | 0.532564i | ||||
\(768\) | 9.92011 | + | 10.8677i | 0.357961 | + | 0.392154i | ||||
\(769\) | 17.8970 |