Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(5,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.f (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 138.5 |
Dual form | 138.2.f.a.83.2 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.281733 | + | 0.959493i | −0.199215 | + | 0.678464i | ||||
\(3\) | −1.37386 | − | 1.05476i | −0.793198 | − | 0.608964i | ||||
\(4\) | −0.841254 | − | 0.540641i | −0.420627 | − | 0.270320i | ||||
\(5\) | −0.493501 | + | 3.43237i | −0.220700 | + | 1.53500i | 0.514699 | + | 0.857371i | \(0.327904\pi\) |
−0.735400 | + | 0.677634i | \(0.763006\pi\) | |||||||
\(6\) | 1.39909 | − | 1.02105i | 0.571177 | − | 0.416842i | ||||
\(7\) | −1.02427 | + | 0.467769i | −0.387138 | + | 0.176800i | −0.599470 | − | 0.800398i | \(-0.704622\pi\) |
0.212331 | + | 0.977198i | \(0.431894\pi\) | |||||||
\(8\) | 0.755750 | − | 0.654861i | 0.267198 | − | 0.231528i | ||||
\(9\) | 0.774979 | + | 2.89817i | 0.258326 | + | 0.966058i | ||||
\(10\) | −3.15430 | − | 1.44052i | −0.997478 | − | 0.455533i | ||||
\(11\) | −5.23357 | + | 1.53672i | −1.57798 | + | 0.463337i | −0.949312 | − | 0.314335i | \(-0.898218\pi\) |
−0.628669 | + | 0.777673i | \(0.716400\pi\) | |||||||
\(12\) | 0.585520 | + | 1.63008i | 0.169025 | + | 0.470564i | ||||
\(13\) | −1.75336 | + | 3.83932i | −0.486294 | + | 1.06484i | 0.494390 | + | 0.869240i | \(0.335391\pi\) |
−0.980685 | + | 0.195596i | \(0.937336\pi\) | |||||||
\(14\) | −0.160251 | − | 1.11457i | −0.0428288 | − | 0.297881i | ||||
\(15\) | 4.29832 | − | 4.19508i | 1.10982 | − | 1.08316i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | 5.62836 | − | 3.61713i | 1.36508 | − | 0.877283i | 0.366491 | − | 0.930421i | \(-0.380559\pi\) |
0.998587 | + | 0.0531388i | \(0.0169226\pi\) | |||||||
\(18\) | −2.99911 | − | 0.0729229i | −0.706898 | − | 0.0171881i | ||||
\(19\) | 0.292438 | − | 0.455042i | 0.0670898 | − | 0.104394i | −0.806088 | − | 0.591796i | \(-0.798419\pi\) |
0.873178 | + | 0.487402i | \(0.162055\pi\) | |||||||
\(20\) | 2.27084 | − | 2.62069i | 0.507775 | − | 0.586004i | ||||
\(21\) | 1.90059 | + | 0.437708i | 0.414742 | + | 0.0955157i | ||||
\(22\) | − | 5.45452i | − | 1.16291i | ||||||
\(23\) | 4.50939 | + | 1.63260i | 0.940273 | + | 0.340420i | ||||
\(24\) | −1.72901 | + | 0.102555i | −0.352933 | + | 0.0209340i | ||||
\(25\) | −6.74018 | − | 1.97910i | −1.34804 | − | 0.395819i | ||||
\(26\) | −3.18982 | − | 2.76400i | −0.625576 | − | 0.542064i | ||||
\(27\) | 1.99215 | − | 4.79910i | 0.383390 | − | 0.923586i | ||||
\(28\) | 1.11457 | + | 0.160251i | 0.210634 | + | 0.0302845i | ||||
\(29\) | −0.172034 | − | 0.267690i | −0.0319458 | − | 0.0497087i | 0.824913 | − | 0.565259i | \(-0.191224\pi\) |
−0.856859 | + | 0.515550i | \(0.827587\pi\) | |||||||
\(30\) | 2.81417 | + | 5.30610i | 0.513795 | + | 0.968756i | ||||
\(31\) | −0.725208 | − | 0.836935i | −0.130251 | − | 0.150318i | 0.686877 | − | 0.726773i | \(-0.258981\pi\) |
−0.817129 | + | 0.576455i | \(0.804435\pi\) | |||||||
\(32\) | −0.989821 | + | 0.142315i | −0.174977 | + | 0.0251579i | ||||
\(33\) | 8.81105 | + | 3.40891i | 1.53381 | + | 0.593415i | ||||
\(34\) | 1.88492 | + | 6.41944i | 0.323261 | + | 1.10092i | ||||
\(35\) | −1.10008 | − | 3.74653i | −0.185947 | − | 0.633279i | ||||
\(36\) | 0.914917 | − | 2.85708i | 0.152486 | − | 0.476181i | ||||
\(37\) | 2.43391 | − | 0.349943i | 0.400132 | − | 0.0575303i | 0.0606887 | − | 0.998157i | \(-0.480670\pi\) |
0.339444 | + | 0.940626i | \(0.389761\pi\) | |||||||
\(38\) | 0.354220 | + | 0.408792i | 0.0574621 | + | 0.0663148i | ||||
\(39\) | 6.45841 | − | 3.42532i | 1.03417 | − | 0.548490i | ||||
\(40\) | 1.87476 | + | 2.91719i | 0.296426 | + | 0.461248i | ||||
\(41\) | −4.67346 | − | 0.671942i | −0.729872 | − | 0.104940i | −0.232647 | − | 0.972561i | \(-0.574739\pi\) |
−0.497225 | + | 0.867621i | \(0.665648\pi\) | |||||||
\(42\) | −0.955435 | + | 1.70028i | −0.147427 | + | 0.262360i | ||||
\(43\) | 5.53903 | + | 4.79960i | 0.844694 | + | 0.731932i | 0.965405 | − | 0.260756i | \(-0.0839718\pi\) |
−0.120710 | + | 0.992688i | \(0.538517\pi\) | |||||||
\(44\) | 5.23357 | + | 1.53672i | 0.788991 | + | 0.231669i | ||||
\(45\) | −10.3301 | + | 1.22977i | −1.53992 | + | 0.183323i | ||||
\(46\) | −2.83691 | + | 3.86677i | −0.418279 | + | 0.570125i | ||||
\(47\) | 4.17207i | 0.608558i | 0.952583 | + | 0.304279i | \(0.0984156\pi\) | ||||
−0.952583 | + | 0.304279i | \(0.901584\pi\) | |||||||
\(48\) | 0.388718 | − | 1.68787i | 0.0561066 | − | 0.243623i | ||||
\(49\) | −3.75370 | + | 4.33200i | −0.536243 | + | 0.618857i | ||||
\(50\) | 3.79786 | − | 5.90958i | 0.537098 | − | 0.835741i | ||||
\(51\) | −11.5478 | − | 0.967124i | −1.61701 | − | 0.135424i | ||||
\(52\) | 3.55071 | − | 2.28190i | 0.492395 | − | 0.316443i | ||||
\(53\) | 3.81724 | + | 8.35859i | 0.524338 | + | 1.14814i | 0.967771 | + | 0.251833i | \(0.0810334\pi\) |
−0.443432 | + | 0.896308i | \(0.646239\pi\) | |||||||
\(54\) | 4.04344 | + | 3.26352i | 0.550243 | + | 0.444109i | ||||
\(55\) | −2.69181 | − | 18.7219i | −0.362964 | − | 2.52447i | ||||
\(56\) | −0.467769 | + | 1.02427i | −0.0625083 | + | 0.136874i | ||||
\(57\) | −0.881726 | + | 0.316713i | −0.116788 | + | 0.0419497i | ||||
\(58\) | 0.305314 | − | 0.0896482i | 0.0400897 | − | 0.0117714i | ||||
\(59\) | −2.19802 | − | 1.00380i | −0.286158 | − | 0.130684i | 0.267165 | − | 0.963651i | \(-0.413913\pi\) |
−0.553323 | + | 0.832967i | \(0.686641\pi\) | |||||||
\(60\) | −5.88400 | + | 1.20528i | −0.759622 | + | 0.155600i | ||||
\(61\) | 1.32902 | − | 1.15160i | 0.170164 | − | 0.147448i | −0.565616 | − | 0.824669i | \(-0.691361\pi\) |
0.735779 | + | 0.677221i | \(0.236816\pi\) | |||||||
\(62\) | 1.00735 | − | 0.460040i | 0.127933 | − | 0.0584252i | ||||
\(63\) | −2.14947 | − | 2.60601i | −0.270807 | − | 0.328326i | ||||
\(64\) | 0.142315 | − | 0.989821i | 0.0177894 | − | 0.123728i | ||||
\(65\) | −12.3127 | − | 7.91289i | −1.52720 | − | 0.981473i | ||||
\(66\) | −5.75319 | + | 7.49374i | −0.708168 | + | 0.922416i | ||||
\(67\) | 1.38479 | − | 4.71615i | 0.169179 | − | 0.576170i | −0.830634 | − | 0.556819i | \(-0.812022\pi\) |
0.999813 | − | 0.0193510i | \(-0.00616001\pi\) | |||||||
\(68\) | −6.69045 | −0.811336 | ||||||||
\(69\) | −4.47328 | − | 6.99927i | −0.538520 | − | 0.842613i | ||||
\(70\) | 3.90470 | 0.466701 | ||||||||
\(71\) | −2.57398 | + | 8.76616i | −0.305475 | + | 1.04035i | 0.653516 | + | 0.756913i | \(0.273293\pi\) |
−0.958990 | + | 0.283439i | \(0.908525\pi\) | |||||||
\(72\) | 2.48359 | + | 1.68279i | 0.292694 | + | 0.198319i | ||||
\(73\) | −8.16392 | − | 5.24663i | −0.955514 | − | 0.614072i | −0.0327610 | − | 0.999463i | \(-0.510430\pi\) |
−0.922753 | + | 0.385392i | \(0.874066\pi\) | |||||||
\(74\) | −0.349943 | + | 2.43391i | −0.0406801 | + | 0.282936i | ||||
\(75\) | 7.17260 | + | 9.82825i | 0.828220 | + | 1.13487i | ||||
\(76\) | −0.492028 | + | 0.224702i | −0.0564395 | + | 0.0257751i | ||||
\(77\) | 4.64177 | − | 4.02212i | 0.528979 | − | 0.458363i | ||||
\(78\) | 1.46702 | + | 7.16183i | 0.166108 | + | 0.810917i | ||||
\(79\) | 10.4223 | + | 4.75969i | 1.17260 | + | 0.535507i | 0.903911 | − | 0.427721i | \(-0.140683\pi\) |
0.268686 | + | 0.963228i | \(0.413411\pi\) | |||||||
\(80\) | −3.32720 | + | 0.976955i | −0.371993 | + | 0.109227i | ||||
\(81\) | −7.79882 | + | 4.49205i | −0.866535 | + | 0.499116i | ||||
\(82\) | 1.96139 | − | 4.29485i | 0.216599 | − | 0.474286i | ||||
\(83\) | 0.447423 | + | 3.11189i | 0.0491110 | + | 0.341575i | 0.999531 | + | 0.0306069i | \(0.00974400\pi\) |
−0.950420 | + | 0.310968i | \(0.899347\pi\) | |||||||
\(84\) | −1.36223 | − | 1.39576i | −0.148632 | − | 0.152290i | ||||
\(85\) | 9.63774 | + | 21.1037i | 1.04536 | + | 2.28902i | ||||
\(86\) | −6.16571 | + | 3.96246i | −0.664865 | + | 0.427283i | ||||
\(87\) | −0.0459972 | + | 0.549221i | −0.00493142 | + | 0.0588827i | ||||
\(88\) | −2.94894 | + | 4.58863i | −0.314358 | + | 0.489150i | ||||
\(89\) | 1.93059 | − | 2.22803i | 0.204643 | − | 0.236170i | −0.644146 | − | 0.764903i | \(-0.722787\pi\) |
0.848789 | + | 0.528732i | \(0.177333\pi\) | |||||||
\(90\) | 1.73036 | − | 10.2581i | 0.182396 | − | 1.08130i | ||||
\(91\) | − | 4.75268i | − | 0.498216i | ||||||
\(92\) | −2.91089 | − | 3.81139i | −0.303482 | − | 0.397365i | ||||
\(93\) | 0.113572 | + | 1.91475i | 0.0117768 | + | 0.198550i | ||||
\(94\) | −4.00307 | − | 1.17541i | −0.412885 | − | 0.121234i | ||||
\(95\) | 1.41756 | + | 1.22832i | 0.145438 | + | 0.126023i | ||||
\(96\) | 1.50998 | + | 0.848500i | 0.154112 | + | 0.0865996i | ||||
\(97\) | 14.8791 | + | 2.13929i | 1.51074 | + | 0.217212i | 0.847340 | − | 0.531051i | \(-0.178203\pi\) |
0.663402 | + | 0.748263i | \(0.269112\pi\) | |||||||
\(98\) | −3.09898 | − | 4.82211i | −0.313045 | − | 0.487107i | ||||
\(99\) | −8.50958 | − | 13.9769i | −0.855245 | − | 1.40473i | ||||
\(100\) | 4.60022 | + | 5.30894i | 0.460022 | + | 0.530894i | ||||
\(101\) | 12.0192 | − | 1.72810i | 1.19596 | − | 0.171953i | 0.484570 | − | 0.874753i | \(-0.338976\pi\) |
0.711387 | + | 0.702800i | \(0.248067\pi\) | |||||||
\(102\) | 4.18133 | − | 10.8075i | 0.414013 | − | 1.07011i | ||||
\(103\) | −0.612755 | − | 2.08685i | −0.0603766 | − | 0.205624i | 0.923781 | − | 0.382922i | \(-0.125082\pi\) |
−0.984157 | + | 0.177299i | \(0.943264\pi\) | |||||||
\(104\) | 1.18912 | + | 4.04977i | 0.116603 | + | 0.397113i | ||||
\(105\) | −2.44032 | + | 6.30752i | −0.238151 | + | 0.615551i | ||||
\(106\) | −9.09545 | + | 1.30773i | −0.883428 | + | 0.127018i | ||||
\(107\) | 3.98158 | + | 4.59498i | 0.384913 | + | 0.444214i | 0.914832 | − | 0.403835i | \(-0.132323\pi\) |
−0.529918 | + | 0.848049i | \(0.677777\pi\) | |||||||
\(108\) | −4.27049 | + | 2.96022i | −0.410928 | + | 0.284847i | ||||
\(109\) | −4.62278 | − | 7.19318i | −0.442782 | − | 0.688982i | 0.546094 | − | 0.837724i | \(-0.316114\pi\) |
−0.988876 | + | 0.148742i | \(0.952478\pi\) | |||||||
\(110\) | 18.7219 | + | 2.69181i | 1.78507 | + | 0.256654i | ||||
\(111\) | −3.71296 | − | 2.08641i | −0.352418 | − | 0.198033i | ||||
\(112\) | −0.850996 | − | 0.737392i | −0.0804116 | − | 0.0696770i | ||||
\(113\) | −2.36312 | − | 0.693874i | −0.222303 | − | 0.0652742i | 0.168684 | − | 0.985670i | \(-0.446048\pi\) |
−0.390988 | + | 0.920396i | \(0.627866\pi\) | |||||||
\(114\) | −0.0554730 | − | 0.935239i | −0.00519552 | − | 0.0875931i | ||||
\(115\) | −7.82907 | + | 14.6722i | −0.730065 | + | 1.36819i | ||||
\(116\) | 0.318203i | 0.0295444i | ||||||||
\(117\) | −12.4858 | − | 2.10614i | −1.15432 | − | 0.194713i | ||||
\(118\) | 1.58240 | − | 1.82618i | 0.145672 | − | 0.168114i | ||||
\(119\) | −4.07299 | + | 6.33770i | −0.373371 | + | 0.580976i | ||||
\(120\) | 0.501262 | − | 5.98523i | 0.0457587 | − | 0.546374i | ||||
\(121\) | 15.7750 | − | 10.1380i | 1.43409 | − | 0.921634i | ||||
\(122\) | 0.730527 | + | 1.59963i | 0.0661388 | + | 0.144824i | ||||
\(123\) | 5.71194 | + | 5.85252i | 0.515029 | + | 0.527704i | ||||
\(124\) | 0.157603 | + | 1.09615i | 0.0141531 | + | 0.0984373i | ||||
\(125\) | 2.91667 | − | 6.38662i | 0.260875 | − | 0.571237i | ||||
\(126\) | 3.10602 | − | 1.32820i | 0.276706 | − | 0.118326i | ||||
\(127\) | 6.54035 | − | 1.92042i | 0.580362 | − | 0.170410i | 0.0216416 | − | 0.999766i | \(-0.493111\pi\) |
0.558720 | + | 0.829356i | \(0.311293\pi\) | |||||||
\(128\) | 0.909632 | + | 0.415415i | 0.0804009 | + | 0.0367178i | ||||
\(129\) | −2.54744 | − | 12.4363i | −0.224290 | − | 1.09496i | ||||
\(130\) | 11.0612 | − | 9.58463i | 0.970136 | − | 0.840627i | ||||
\(131\) | −16.0068 | + | 7.31006i | −1.39852 | + | 0.638683i | −0.964949 | − | 0.262436i | \(-0.915474\pi\) |
−0.433571 | + | 0.901119i | \(0.642747\pi\) | |||||||
\(132\) | −5.56933 | − | 7.63137i | −0.484748 | − | 0.664226i | ||||
\(133\) | −0.0866811 | + | 0.602880i | −0.00751620 | + | 0.0522763i | ||||
\(134\) | 4.13498 | + | 2.65739i | 0.357207 | + | 0.229563i | ||||
\(135\) | 15.4892 | + | 9.20617i | 1.33309 | + | 0.792341i | ||||
\(136\) | 1.88492 | − | 6.41944i | 0.161630 | − | 0.550462i | ||||
\(137\) | 13.9061 | 1.18808 | 0.594041 | − | 0.804435i | \(-0.297532\pi\) | ||||
0.594041 | + | 0.804435i | \(0.297532\pi\) | |||||||
\(138\) | 7.97602 | − | 2.32016i | 0.678964 | − | 0.197505i | ||||
\(139\) | −14.8405 | −1.25875 | −0.629377 | − | 0.777100i | \(-0.716690\pi\) | ||||
−0.629377 | + | 0.777100i | \(0.716690\pi\) | |||||||
\(140\) | −1.10008 | + | 3.74653i | −0.0929737 | + | 0.316640i | ||||
\(141\) | 4.40051 | − | 5.73183i | 0.370590 | − | 0.482707i | ||||
\(142\) | −7.68589 | − | 4.93942i | −0.644986 | − | 0.414507i | ||||
\(143\) | 3.27639 | − | 22.7878i | 0.273985 | − | 1.90561i | ||||
\(144\) | −2.31433 | + | 1.90889i | −0.192861 | + | 0.159074i | ||||
\(145\) | 1.00371 | − | 0.458379i | 0.0833535 | − | 0.0380663i | ||||
\(146\) | 7.33415 | − | 6.35507i | 0.606978 | − | 0.525950i | ||||
\(147\) | 9.72626 | − | 1.99232i | 0.802208 | − | 0.164324i | ||||
\(148\) | −2.23673 | − | 1.02148i | −0.183858 | − | 0.0839651i | ||||
\(149\) | 3.31083 | − | 0.972148i | 0.271234 | − | 0.0796415i | −0.143287 | − | 0.989681i | \(-0.545767\pi\) |
0.414521 | + | 0.910040i | \(0.363949\pi\) | |||||||
\(150\) | −11.4509 | + | 4.11312i | −0.934961 | + | 0.335835i | ||||
\(151\) | −1.88922 | + | 4.13680i | −0.153742 | + | 0.336648i | −0.970794 | − | 0.239917i | \(-0.922880\pi\) |
0.817051 | + | 0.576565i | \(0.195607\pi\) | |||||||
\(152\) | −0.0769794 | − | 0.535404i | −0.00624386 | − | 0.0434270i | ||||
\(153\) | 14.8449 | + | 13.5088i | 1.20014 | + | 1.09212i | ||||
\(154\) | 2.55146 | + | 5.58691i | 0.205602 | + | 0.450206i | ||||
\(155\) | 3.23056 | − | 2.07616i | 0.259485 | − | 0.166761i | ||||
\(156\) | −7.28503 | − | 0.610120i | −0.583269 | − | 0.0488487i | ||||
\(157\) | −8.68042 | + | 13.5070i | −0.692773 | + | 1.07798i | 0.299523 | + | 0.954089i | \(0.403172\pi\) |
−0.992296 | + | 0.123887i | \(0.960464\pi\) | |||||||
\(158\) | −7.50318 | + | 8.65914i | −0.596921 | + | 0.688884i | ||||
\(159\) | 3.57192 | − | 15.5098i | 0.283272 | − | 1.23001i | ||||
\(160\) | − | 3.46767i | − | 0.274143i | ||||||
\(161\) | −5.38252 | + | 0.437132i | −0.424202 | + | 0.0344508i | ||||
\(162\) | −2.11291 | − | 8.74846i | −0.166006 | − | 0.687344i | ||||
\(163\) | −6.19048 | − | 1.81769i | −0.484876 | − | 0.142372i | 0.0301527 | − | 0.999545i | \(-0.490401\pi\) |
−0.515029 | + | 0.857173i | \(0.672219\pi\) | |||||||
\(164\) | 3.56829 | + | 3.09194i | 0.278636 | + | 0.241440i | ||||
\(165\) | −16.0489 | + | 28.5605i | −1.24941 | + | 2.22343i | ||||
\(166\) | −3.11189 | − | 0.447423i | −0.241530 | − | 0.0347267i | ||||
\(167\) | −5.40295 | − | 8.40716i | −0.418093 | − | 0.650565i | 0.566775 | − | 0.823873i | \(-0.308191\pi\) |
−0.984868 | + | 0.173307i | \(0.944555\pi\) | |||||||
\(168\) | 1.72301 | − | 0.913823i | 0.132933 | − | 0.0705030i | ||||
\(169\) | −3.15292 | − | 3.63866i | −0.242532 | − | 0.279897i | ||||
\(170\) | −22.9641 | + | 3.30174i | −1.76127 | + | 0.253232i | ||||
\(171\) | 1.54542 | + | 0.494887i | 0.118181 | + | 0.0378450i | ||||
\(172\) | −2.06487 | − | 7.03231i | −0.157445 | − | 0.536208i | ||||
\(173\) | −6.48288 | − | 22.0787i | −0.492884 | − | 1.67861i | −0.711409 | − | 0.702778i | \(-0.751943\pi\) |
0.218525 | − | 0.975831i | \(-0.429875\pi\) | |||||||
\(174\) | −0.514015 | − | 0.198868i | −0.0389674 | − | 0.0150761i | ||||
\(175\) | 7.82954 | − | 1.12572i | 0.591858 | − | 0.0850963i | ||||
\(176\) | −3.57195 | − | 4.12225i | −0.269246 | − | 0.310726i | ||||
\(177\) | 1.96101 | + | 3.69747i | 0.147398 | + | 0.277919i | ||||
\(178\) | 1.59386 | + | 2.48010i | 0.119465 | + | 0.185891i | ||||
\(179\) | 13.9699 | + | 2.00857i | 1.04416 | + | 0.150127i | 0.642988 | − | 0.765876i | \(-0.277694\pi\) |
0.401170 | + | 0.916004i | \(0.368604\pi\) | |||||||
\(180\) | 9.35507 | + | 4.55031i | 0.697285 | + | 0.339160i | ||||
\(181\) | −3.24823 | − | 2.81461i | −0.241439 | − | 0.209208i | 0.525733 | − | 0.850650i | \(-0.323791\pi\) |
−0.767172 | + | 0.641442i | \(0.778337\pi\) | |||||||
\(182\) | 4.56016 | + | 1.33898i | 0.338021 | + | 0.0992520i | ||||
\(183\) | −3.04055 | + | 0.180348i | −0.224764 | + | 0.0133317i | ||||
\(184\) | 4.47710 | − | 1.71919i | 0.330056 | − | 0.126740i | ||||
\(185\) | 8.52679i | 0.626902i | ||||||||
\(186\) | −1.86918 | − | 0.430476i | −0.137055 | − | 0.0315640i | ||||
\(187\) | −23.8979 | + | 27.5797i | −1.74759 | + | 2.01683i | ||||
\(188\) | 2.25559 | − | 3.50977i | 0.164506 | − | 0.255976i | ||||
\(189\) | 0.204362 | + | 5.84745i | 0.0148652 | + | 0.425339i | ||||
\(190\) | −1.57793 | + | 1.01408i | −0.114475 | + | 0.0735689i | ||||
\(191\) | −3.52963 | − | 7.72880i | −0.255395 | − | 0.559237i | 0.737891 | − | 0.674919i | \(-0.235822\pi\) |
−0.993286 | + | 0.115683i | \(0.963094\pi\) | |||||||
\(192\) | −1.23954 | + | 1.20977i | −0.0894562 | + | 0.0873075i | ||||
\(193\) | 0.171980 | + | 1.19615i | 0.0123794 | + | 0.0861006i | 0.995075 | − | 0.0991299i | \(-0.0316059\pi\) |
−0.982695 | + | 0.185230i | \(0.940697\pi\) | |||||||
\(194\) | −6.24456 | + | 13.6737i | −0.448333 | + | 0.981712i | ||||
\(195\) | 8.56974 | + | 23.8581i | 0.613692 | + | 1.70851i | ||||
\(196\) | 5.49987 | − | 1.61491i | 0.392848 | − | 0.115351i | ||||
\(197\) | −0.0466277 | − | 0.0212941i | −0.00332208 | − | 0.00151714i | 0.413753 | − | 0.910389i | \(-0.364218\pi\) |
−0.417075 | + | 0.908872i | \(0.636945\pi\) | |||||||
\(198\) | 15.8081 | − | 4.22714i | 1.12344 | − | 0.300410i | ||||
\(199\) | 12.7882 | − | 11.0810i | 0.906531 | − | 0.785514i | −0.0707424 | − | 0.997495i | \(-0.522537\pi\) |
0.977274 | + | 0.211981i | \(0.0679914\pi\) | |||||||
\(200\) | −6.38992 | + | 2.91818i | −0.451836 | + | 0.206346i | ||||
\(201\) | −6.87689 | + | 5.01872i | −0.485059 | + | 0.353993i | ||||
\(202\) | −1.72810 | + | 12.0192i | −0.121589 | + | 0.845669i | ||||
\(203\) | 0.301426 | + | 0.193715i | 0.0211560 | + | 0.0135961i | ||||
\(204\) | 9.19173 | + | 7.05679i | 0.643550 | + | 0.494074i | ||||
\(205\) | 4.61271 | − | 15.7095i | 0.322166 | − | 1.09720i | ||||
\(206\) | 2.17495 | 0.151536 | ||||||||
\(207\) | −1.23687 | + | 14.3342i | −0.0859682 | + | 0.996298i | ||||
\(208\) | −4.22074 | −0.292656 | ||||||||
\(209\) | −0.831224 | + | 2.83089i | −0.0574969 | + | 0.195817i | ||||
\(210\) | −5.36450 | − | 4.11850i | −0.370186 | − | 0.284204i | ||||
\(211\) | 9.41085 | + | 6.04799i | 0.647870 | + | 0.416361i | 0.822887 | − | 0.568205i | \(-0.192362\pi\) |
−0.175018 | + | 0.984565i | \(0.555998\pi\) | |||||||
\(212\) | 1.30773 | − | 9.09545i | 0.0898152 | − | 0.624678i | ||||
\(213\) | 12.7824 | − | 9.32855i | 0.875838 | − | 0.639182i | ||||
\(214\) | −5.53059 | + | 2.52574i | −0.378064 | + | 0.172656i | ||||
\(215\) | −19.2075 | + | 16.6434i | −1.30994 | + | 1.13507i | ||||
\(216\) | −1.63717 | − | 4.93150i | −0.111395 | − | 0.335546i | ||||
\(217\) | 1.13430 | + | 0.518019i | 0.0770015 | + | 0.0351654i | ||||
\(218\) | 8.20419 | − | 2.40897i | 0.555658 | − | 0.163156i | ||||
\(219\) | 5.68216 | + | 15.8191i | 0.383965 | + | 1.06895i | ||||
\(220\) | −7.85735 | + | 17.2052i | −0.529743 | + | 1.15997i | ||||
\(221\) | 4.01878 | + | 27.9512i | 0.270332 | + | 1.88020i | ||||
\(222\) | 3.04795 | − | 2.97475i | 0.204565 | − | 0.199652i | ||||
\(223\) | −6.16749 | − | 13.5049i | −0.413006 | − | 0.904356i | −0.995784 | − | 0.0917254i | \(-0.970762\pi\) |
0.582779 | − | 0.812631i | \(-0.301965\pi\) | |||||||
\(224\) | 0.947276 | − | 0.608777i | 0.0632925 | − | 0.0406756i | ||||
\(225\) | 0.512264 | − | 21.0680i | 0.0341509 | − | 1.40453i | ||||
\(226\) | 1.33153 | − | 2.07191i | 0.0885724 | − | 0.137821i | ||||
\(227\) | 4.69859 | − | 5.42246i | 0.311856 | − | 0.359901i | −0.578085 | − | 0.815977i | \(-0.696200\pi\) |
0.889941 | + | 0.456075i | \(0.150745\pi\) | |||||||
\(228\) | 0.912984 | + | 0.210261i | 0.0604638 | + | 0.0139249i | ||||
\(229\) | − | 8.31850i | − | 0.549702i | −0.961487 | − | 0.274851i | \(-0.911371\pi\) | ||
0.961487 | − | 0.274851i | \(-0.0886285\pi\) | |||||||
\(230\) | −11.8722 | − | 11.6456i | −0.782830 | − | 0.767887i | ||||
\(231\) | −10.6195 | + | 0.629887i | −0.698712 | + | 0.0414435i | ||||
\(232\) | −0.305314 | − | 0.0896482i | −0.0200448 | − | 0.00588569i | ||||
\(233\) | 0.846742 | + | 0.733706i | 0.0554719 | + | 0.0480667i | 0.682156 | − | 0.731207i | \(-0.261043\pi\) |
−0.626684 | + | 0.779274i | \(0.715588\pi\) | |||||||
\(234\) | 5.53850 | − | 11.3867i | 0.362063 | − | 0.744372i | ||||
\(235\) | −14.3201 | − | 2.05892i | −0.934140 | − | 0.134309i | ||||
\(236\) | 1.30640 | + | 2.03280i | 0.0850393 | + | 0.132324i | ||||
\(237\) | −9.29842 | − | 17.5321i | −0.603997 | − | 1.13883i | ||||
\(238\) | −4.93348 | − | 5.69354i | −0.319790 | − | 0.369058i | ||||
\(239\) | −5.10519 | + | 0.734016i | −0.330227 | + | 0.0474795i | −0.305434 | − | 0.952213i | \(-0.598802\pi\) |
−0.0247928 | + | 0.999693i | \(0.507893\pi\) | |||||||
\(240\) | 5.60156 | + | 2.16719i | 0.361579 | + | 0.139892i | ||||
\(241\) | −2.93330 | − | 9.98989i | −0.188950 | − | 0.643506i | −0.998412 | − | 0.0563329i | \(-0.982059\pi\) |
0.809462 | − | 0.587173i | \(-0.199759\pi\) | |||||||
\(242\) | 5.28298 | + | 17.9922i | 0.339603 | + | 1.15658i | ||||
\(243\) | 15.4525 | + | 2.05441i | 0.991278 | + | 0.131790i | ||||
\(244\) | −1.74065 | + | 0.250267i | −0.111434 | + | 0.0160217i | ||||
\(245\) | −13.0166 | − | 15.0219i | −0.831600 | − | 0.959717i | ||||
\(246\) | −7.22469 | + | 3.83173i | −0.460629 | + | 0.244302i | ||||
\(247\) | 1.23430 | + | 1.92061i | 0.0785368 | + | 0.122206i | ||||
\(248\) | −1.09615 | − | 0.157603i | −0.0696057 | − | 0.0100078i | ||||
\(249\) | 2.66759 | − | 4.74722i | 0.169052 | − | 0.300843i | ||||
\(250\) | 5.30620 | + | 4.59784i | 0.335593 | + | 0.290793i | ||||
\(251\) | −22.5777 | − | 6.62941i | −1.42509 | − | 0.418445i | −0.523869 | − | 0.851799i | \(-0.675512\pi\) |
−0.901224 | + | 0.433354i | \(0.857330\pi\) | |||||||
\(252\) | 0.399332 | + | 3.35440i | 0.0251556 | + | 0.211307i | ||||
\(253\) | −26.1091 | − | 1.61466i | −1.64146 | − | 0.101513i | ||||
\(254\) | 6.81646i | 0.427703i | ||||||||
\(255\) | 9.01836 | − | 39.1590i | 0.564752 | − | 2.45223i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | 13.2691 | − | 20.6471i | 0.827702 | − | 1.28793i | −0.127459 | − | 0.991844i | \(-0.540682\pi\) |
0.955161 | − | 0.296086i | \(-0.0956816\pi\) | |||||||
\(258\) | 12.6502 | + | 1.05946i | 0.787570 | + | 0.0659588i | ||||
\(259\) | −2.32929 | + | 1.49695i | −0.144735 | + | 0.0930157i | ||||
\(260\) | 6.08007 | + | 13.3135i | 0.377070 | + | 0.825668i | ||||
\(261\) | 0.642488 | − | 0.706037i | 0.0397690 | − | 0.0437026i | ||||
\(262\) | −2.50431 | − | 17.4179i | −0.154717 | − | 1.07608i | ||||
\(263\) | −6.38077 | + | 13.9719i | −0.393455 | + | 0.861547i | 0.604437 | + | 0.796653i | \(0.293398\pi\) |
−0.997892 | + | 0.0648938i | \(0.979329\pi\) | |||||||
\(264\) | 8.89131 | − | 3.19373i | 0.547222 | − | 0.196560i | ||||
\(265\) | −30.5736 | + | 8.97723i | −1.87812 | + | 0.551467i | ||||
\(266\) | −0.554038 | − | 0.253021i | −0.0339703 | − | 0.0155137i | ||||
\(267\) | −5.00239 | + | 1.02469i | −0.306141 | + | 0.0627098i | ||||
\(268\) | −3.71470 | + | 3.21881i | −0.226912 | + | 0.196620i | ||||
\(269\) | 18.9814 | − | 8.66850i | 1.15731 | − | 0.528528i | 0.258136 | − | 0.966109i | \(-0.416892\pi\) |
0.899179 | + | 0.437581i | \(0.144165\pi\) | |||||||
\(270\) | −13.1971 | + | 12.2681i | −0.803148 | + | 0.746610i | ||||
\(271\) | −3.37020 | + | 23.4402i | −0.204725 | + | 1.42389i | 0.585299 | + | 0.810818i | \(0.300977\pi\) |
−0.790024 | + | 0.613076i | \(0.789932\pi\) | |||||||
\(272\) | 5.62836 | + | 3.61713i | 0.341270 | + | 0.219321i | ||||
\(273\) | −5.01291 | + | 6.52951i | −0.303395 | + | 0.395184i | ||||
\(274\) | −3.91781 | + | 13.3429i | −0.236684 | + | 0.806071i | ||||
\(275\) | 38.3165 | 2.31057 | ||||||||
\(276\) | −0.0209289 | + | 8.30660i | −0.00125977 | + | 0.499998i | ||||
\(277\) | 33.1250 | 1.99029 | 0.995145 | − | 0.0984225i | \(-0.0313797\pi\) | ||||
0.995145 | + | 0.0984225i | \(0.0313797\pi\) | |||||||
\(278\) | 4.18105 | − | 14.2393i | 0.250763 | − | 0.854019i | ||||
\(279\) | 1.86356 | − | 2.75039i | 0.111568 | − | 0.164661i | ||||
\(280\) | −3.28484 | − | 2.11104i | −0.196307 | − | 0.126159i | ||||
\(281\) | −2.41184 | + | 16.7747i | −0.143878 | + | 1.00070i | 0.782109 | + | 0.623141i | \(0.214144\pi\) |
−0.925988 | + | 0.377554i | \(0.876765\pi\) | |||||||
\(282\) | 4.25989 | + | 5.83711i | 0.253672 | + | 0.347595i | ||||
\(283\) | 20.1373 | − | 9.19639i | 1.19704 | − | 0.546669i | 0.285696 | − | 0.958320i | \(-0.407775\pi\) |
0.911341 | + | 0.411652i | \(0.135048\pi\) | |||||||
\(284\) | 6.90471 | − | 5.98296i | 0.409719 | − | 0.355024i | ||||
\(285\) | −0.651945 | − | 3.18271i | −0.0386179 | − | 0.188528i | ||||
\(286\) | 20.9416 | + | 9.56373i | 1.23831 | + | 0.565515i | ||||
\(287\) | 5.10121 | − | 1.49785i | 0.301115 | − | 0.0884153i | ||||
\(288\) | −1.17954 | − | 2.75838i | −0.0695053 | − | 0.162539i | ||||
\(289\) | 11.5328 | − | 25.2533i | 0.678399 | − | 1.48549i | ||||
\(290\) | 0.157034 | + | 1.09219i | 0.00922133 | + | 0.0641357i | ||||
\(291\) | −18.1853 | − | 18.6329i | −1.06604 | − | 1.09228i | ||||
\(292\) | 4.03138 | + | 8.82749i | 0.235919 | + | 0.516590i | ||||
\(293\) | 22.7630 | − | 14.6289i | 1.32983 | − | 0.854631i | 0.333715 | − | 0.942674i | \(-0.391698\pi\) |
0.996117 | + | 0.0880433i | \(0.0280614\pi\) | |||||||
\(294\) | −0.828586 | + | 9.89358i | −0.0483241 | + | 0.577005i | ||||
\(295\) | 4.53016 | − | 7.04906i | 0.263756 | − | 0.410412i | ||||
\(296\) | 1.61026 | − | 1.85834i | 0.0935946 | − | 0.108014i | ||||
\(297\) | −3.05124 | + | 28.1778i | −0.177051 | + | 1.63504i | ||||
\(298\) | 3.45061i | 0.199888i | ||||||||
\(299\) | −14.1746 | + | 14.4505i | −0.819741 | + | 0.835692i | ||||
\(300\) | −0.720422 | − | 12.1458i | −0.0415936 | − | 0.701241i | ||||
\(301\) | −7.91858 | − | 2.32510i | −0.456419 | − | 0.134017i | ||||
\(302\) | −3.43698 | − | 2.97816i | −0.197776 | − | 0.171374i | ||||
\(303\) | −18.3354 | − | 10.3032i | −1.05334 | − | 0.591902i | ||||
\(304\) | 0.535404 | + | 0.0769794i | 0.0307075 | + | 0.00441507i | ||||
\(305\) | 3.29686 | + | 5.13001i | 0.188778 | + | 0.293744i | ||||
\(306\) | −17.1439 | + | 10.4377i | −0.980050 | + | 0.596686i | ||||
\(307\) | 15.3903 | + | 17.7613i | 0.878369 | + | 1.01369i | 0.999778 | + | 0.0210896i | \(0.00671352\pi\) |
−0.121408 | + | 0.992603i | \(0.538741\pi\) | |||||||
\(308\) | −6.07943 | + | 0.874090i | −0.346408 | + | 0.0498059i | ||||
\(309\) | −1.35928 | + | 3.51335i | −0.0773268 | + | 0.199868i | ||||
\(310\) | 1.08190 | + | 3.68462i | 0.0614480 | + | 0.209273i | ||||
\(311\) | −5.36040 | − | 18.2559i | −0.303961 | − | 1.03519i | −0.959891 | − | 0.280373i | \(-0.909542\pi\) |
0.655930 | − | 0.754821i | \(-0.272276\pi\) | |||||||
\(312\) | 2.63784 | − | 6.81804i | 0.149338 | − | 0.385996i | ||||
\(313\) | −30.0771 | + | 4.32443i | −1.70006 | + | 0.244431i | −0.922945 | − | 0.384932i | \(-0.874225\pi\) |
−0.777111 | + | 0.629363i | \(0.783316\pi\) | |||||||
\(314\) | −10.5143 | − | 12.1342i | −0.593357 | − | 0.684770i | ||||
\(315\) | 10.0056 | − | 6.09170i | 0.563749 | − | 0.343229i | ||||
\(316\) | −6.19449 | − | 9.63881i | −0.348467 | − | 0.542226i | ||||
\(317\) | −21.3003 | − | 3.06252i | −1.19634 | − | 0.172008i | −0.484784 | − | 0.874634i | \(-0.661102\pi\) |
−0.711559 | + | 0.702626i | \(0.752011\pi\) | |||||||
\(318\) | 13.8752 | + | 7.79685i | 0.778083 | + | 0.437226i | ||||
\(319\) | 1.31171 | + | 1.13661i | 0.0734418 | + | 0.0636377i | ||||
\(320\) | 3.32720 | + | 0.976955i | 0.185996 | + | 0.0546135i | ||||
\(321\) | −0.623538 | − | 10.5125i | −0.0348025 | − | 0.586748i | ||||
\(322\) | 1.09701 | − | 5.28765i | 0.0611338 | − | 0.294669i | ||||
\(323\) | − | 3.61893i | − | 0.201362i | ||||||
\(324\) | 8.98936 | + | 0.437408i | 0.499409 | + | 0.0243005i | ||||
\(325\) | 19.4163 | − | 22.4076i | 1.07702 | − | 1.24295i | ||||
\(326\) | 3.48812 | − | 5.42762i | 0.193189 | − | 0.300608i | ||||
\(327\) | −1.23601 | + | 14.7583i | −0.0683513 | + | 0.816137i | ||||
\(328\) | −3.97200 | + | 2.55265i | −0.219317 | + | 0.140946i | ||||
\(329\) | −1.95157 | − | 4.27333i | −0.107593 | − | 0.235596i | ||||
\(330\) | −22.8821 | − | 23.4453i | −1.25962 | − | 1.29062i | ||||
\(331\) | 3.52974 | + | 24.5499i | 0.194012 | + | 1.34938i | 0.821256 | + | 0.570560i | \(0.193274\pi\) |
−0.627244 | + | 0.778823i | \(0.715817\pi\) | |||||||
\(332\) | 1.30602 | − | 2.85979i | 0.0716772 | − | 0.156951i | ||||
\(333\) | 2.90043 | + | 6.78269i | 0.158942 | + | 0.371689i | ||||
\(334\) | 9.58880 | − | 2.81552i | 0.524676 | − | 0.154059i | ||||
\(335\) | 15.5042 | + | 7.08053i | 0.847085 | + | 0.386851i | ||||
\(336\) | 0.391380 | + | 1.91067i | 0.0213515 | + | 0.104235i | ||||
\(337\) | 11.4915 | − | 9.95745i | 0.625982 | − | 0.542417i | −0.283070 | − | 0.959099i | \(-0.591353\pi\) |
0.909052 | + | 0.416683i | \(0.136807\pi\) | |||||||
\(338\) | 4.37955 | − | 2.00007i | 0.238216 | − | 0.108790i | ||||
\(339\) | 2.51472 | + | 3.44580i | 0.136581 | + | 0.187150i | ||||
\(340\) | 3.30174 | − | 22.9641i | 0.179062 | − | 1.24540i | ||||
\(341\) | 5.08156 | + | 3.26572i | 0.275182 | + | 0.176849i | ||||
\(342\) | −0.910237 | + | 1.34340i | −0.0492200 | + | 0.0726426i | ||||
\(343\) | 4.03911 | − | 13.7559i | 0.218091 | − | 0.742751i | ||||
\(344\) | 7.32919 | 0.395163 | ||||||||
\(345\) | 26.2317 | − | 11.8998i | 1.41227 | − | 0.640665i | ||||
\(346\) | 23.0108 | 1.23707 | ||||||||
\(347\) | −1.31185 | + | 4.46777i | −0.0704241 | + | 0.239842i | −0.987181 | − | 0.159602i | \(-0.948979\pi\) |
0.916757 | + | 0.399445i | \(0.130797\pi\) | |||||||
\(348\) | 0.335627 | − | 0.437166i | 0.0179915 | − | 0.0234346i | ||||
\(349\) | 5.79333 | + | 3.72315i | 0.310110 | + | 0.199296i | 0.686433 | − | 0.727193i | \(-0.259175\pi\) |
−0.376323 | + | 0.926488i | \(0.622812\pi\) | |||||||
\(350\) | −1.12572 | + | 7.82954i | −0.0601722 | + | 0.418507i | ||||
\(351\) | 14.9323 | + | 16.0631i | 0.797027 | + | 0.857382i | ||||
\(352\) | 4.96160 | − | 2.26589i | 0.264454 | − | 0.120772i | ||||
\(353\) | −26.4583 | + | 22.9262i | −1.40823 | + | 1.22024i | −0.466215 | + | 0.884671i | \(0.654383\pi\) |
−0.942016 | + | 0.335568i | \(0.891072\pi\) | |||||||
\(354\) | −4.10017 | + | 0.839877i | −0.217922 | + | 0.0446390i | ||||
\(355\) | −28.8185 | − | 13.1610i | −1.52953 | − | 0.698511i | ||||
\(356\) | −2.82868 | + | 0.830576i | −0.149920 | + | 0.0440204i | ||||
\(357\) | 12.2804 | − | 4.41109i | 0.649950 | − | 0.233460i | ||||
\(358\) | −5.86298 | + | 12.8381i | −0.309868 | + | 0.678516i | ||||
\(359\) | 0.132119 | + | 0.918905i | 0.00697295 | + | 0.0484979i | 0.993011 | − | 0.118023i | \(-0.0376557\pi\) |
−0.986038 | + | 0.166521i | \(0.946747\pi\) | |||||||
\(360\) | −7.00162 | + | 7.69415i | −0.369018 | + | 0.405517i | ||||
\(361\) | 7.77134 | + | 17.0169i | 0.409018 | + | 0.895624i | ||||
\(362\) | 3.61573 | − | 2.32369i | 0.190038 | − | 0.122130i | ||||
\(363\) | −32.3657 | − | 2.71062i | −1.69876 | − | 0.142271i | ||||
\(364\) | −2.56949 | + | 3.99820i | −0.134678 | + | 0.209563i | ||||
\(365\) | 22.0373 | − | 25.4324i | 1.15348 | − | 1.33119i | ||||
\(366\) | 0.683579 | − | 2.96819i | 0.0357313 | − | 0.155150i | ||||
\(367\) | 12.4382i | 0.649268i | 0.945840 | + | 0.324634i | \(0.105241\pi\) | ||||
−0.945840 | + | 0.324634i | \(0.894759\pi\) | |||||||
\(368\) | 0.388206 | + | 4.78009i | 0.0202367 | + | 0.249180i | ||||
\(369\) | −1.67443 | − | 14.0652i | −0.0871673 | − | 0.732207i | ||||
\(370\) | −8.18139 | − | 2.40227i | −0.425330 | − | 0.124888i | ||||
\(371\) | −7.81979 | − | 6.77589i | −0.405983 | − | 0.351786i | ||||
\(372\) | 0.939648 | − | 1.67219i | 0.0487185 | − | 0.0866990i | ||||
\(373\) | 4.16743 | + | 0.599187i | 0.215782 | + | 0.0310247i | 0.249358 | − | 0.968411i | \(-0.419781\pi\) |
−0.0335761 | + | 0.999436i | \(0.510690\pi\) | |||||||
\(374\) | −19.7297 | − | 30.7000i | −1.02020 | − | 1.58746i | ||||
\(375\) | −10.7434 | + | 5.69794i | −0.554788 | + | 0.294240i | ||||
\(376\) | 2.73212 | + | 3.15304i | 0.140898 | + | 0.162606i | ||||
\(377\) | 1.32938 | − | 0.191136i | 0.0684667 | − | 0.00984402i | ||||
\(378\) | −5.66816 | − | 1.45133i | −0.291539 | − | 0.0746485i | ||||
\(379\) | 2.31115 | + | 7.87107i | 0.118716 | + | 0.404310i | 0.997313 | − | 0.0732537i | \(-0.0233383\pi\) |
−0.878597 | + | 0.477563i | \(0.841520\pi\) | |||||||
\(380\) | −0.528444 | − | 1.79972i | −0.0271086 | − | 0.0923235i | ||||
\(381\) | −11.0111 | − | 4.26009i | −0.564115 | − | 0.218251i | ||||
\(382\) | 8.41014 | − | 1.20920i | 0.430300 | − | 0.0618679i | ||||
\(383\) | 22.1774 | + | 25.5940i | 1.13321 | + | 1.30779i | 0.945519 | + | 0.325566i | \(0.105555\pi\) |
0.187691 | + | 0.982228i | \(0.439900\pi\) | |||||||
\(384\) | −0.811545 | − | 1.53016i | −0.0414140 | − | 0.0780857i | ||||
\(385\) | 11.5147 | + | 17.9172i | 0.586843 | + | 0.913146i | ||||
\(386\) | −1.19615 | − | 0.171980i | −0.0608823 | − | 0.00875356i | ||||
\(387\) | −9.61743 | + | 19.7727i | −0.488882 | + | 1.00510i | ||||
\(388\) | −11.3605 | − | 9.84393i | −0.576742 | − | 0.499750i | ||||
\(389\) | 2.08019 | + | 0.610799i | 0.105470 | + | 0.0309687i | 0.334042 | − | 0.942558i | \(-0.391587\pi\) |
−0.228572 | + | 0.973527i | \(0.573406\pi\) | |||||||
\(390\) | −25.3060 | + | 1.50101i | −1.28142 | + | 0.0760065i | ||||
\(391\) | 31.2858 | − | 7.12220i | 1.58219 | − | 0.360185i | ||||
\(392\) | 5.73206i | 0.289513i | ||||||||
\(393\) | 29.7014 | + | 6.84027i | 1.49824 | + | 0.345046i | ||||
\(394\) | 0.0335681 | − | 0.0387397i | 0.00169114 | − | 0.00195168i | ||||
\(395\) | −21.4804 | + | 33.4242i | −1.08080 | + | 1.68175i | ||||
\(396\) | −0.397759 | + | 16.3587i | −0.0199882 | + | 0.822057i | ||||
\(397\) | −24.3971 | + | 15.6791i | −1.22446 | + | 0.786911i | −0.983019 | − | 0.183505i | \(-0.941255\pi\) |
−0.241438 | + | 0.970416i | \(0.577619\pi\) | |||||||
\(398\) | 7.02933 | + | 15.3921i | 0.352348 | + | 0.771535i | ||||
\(399\) | 0.754979 | − | 0.736845i | 0.0377962 | − | 0.0368884i | ||||
\(400\) | −0.999724 | − | 6.95323i | −0.0499862 | − | 0.347662i | ||||
\(401\) | −13.6290 | + | 29.8434i | −0.680600 | + | 1.49031i | 0.181406 | + | 0.983408i | \(0.441935\pi\) |
−0.862006 | + | 0.506898i | \(0.830792\pi\) | |||||||
\(402\) | −2.87798 | − | 8.01227i | −0.143541 | − | 0.399616i | ||||
\(403\) | 4.48481 | − | 1.31686i | 0.223404 | − | 0.0655974i | ||||
\(404\) | −11.0455 | − | 5.04431i | −0.549534 | − | 0.250964i | ||||
\(405\) | −11.5697 | − | 28.9853i | −0.574901 | − | 1.44029i | ||||
\(406\) | −0.270790 | + | 0.234641i | −0.0134391 | + | 0.0116450i | ||||
\(407\) | −12.2003 | + | 5.57168i | −0.604745 | + | 0.276178i | ||||
\(408\) | −9.36055 | + | 6.83128i | −0.463416 | + | 0.338199i | ||||
\(409\) | 0.956843 | − | 6.65499i | 0.0473128 | − | 0.329068i | −0.952394 | − | 0.304869i | \(-0.901387\pi\) |
0.999707 | − | 0.0241991i | \(-0.00770357\pi\) | |||||||
\(410\) | 13.7736 | + | 8.85173i | 0.680228 | + | 0.437156i | ||||
\(411\) | −19.1051 | − | 14.6676i | −0.942385 | − | 0.723499i | ||||
\(412\) | −0.612755 | + | 2.08685i | −0.0301883 | + | 0.102812i | ||||
\(413\) | 2.72092 | 0.133888 | ||||||||
\(414\) | −13.4051 | − | 5.22518i | −0.658826 | − | 0.256804i | ||||
\(415\) | −10.9020 | −0.535157 | ||||||||
\(416\) | 1.18912 | − | 4.04977i | 0.0583014 | − | 0.198556i | ||||
\(417\) | 20.3887 | + | 15.6531i | 0.998441 | + | 0.766535i | ||||
\(418\) | −2.48203 | − | 1.59511i | −0.121400 | − | 0.0780192i | ||||
\(419\) | −0.634594 | + | 4.41370i | −0.0310019 | + | 0.215623i | −0.999433 | − | 0.0336566i | \(-0.989285\pi\) |
0.968432 | + | 0.249280i | \(0.0801938\pi\) | |||||||
\(420\) | 5.46303 | − | 3.98689i | 0.266569 | − | 0.194540i | ||||
\(421\) | 4.31204 | − | 1.96924i | 0.210156 | − | 0.0959750i | −0.307556 | − | 0.951530i | \(-0.599511\pi\) |
0.517712 | + | 0.855555i | \(0.326784\pi\) | |||||||
\(422\) | −8.45434 | + | 7.32573i | −0.411551 | + | 0.356611i | ||||
\(423\) | −12.0914 | + | 3.23326i | −0.587903 | + | 0.157207i | ||||
\(424\) | 8.35859 | + | 3.81724i | 0.405929 | + | 0.185382i | ||||
\(425\) | −45.0948 | + | 13.2410i | −2.18742 | + | 0.642285i | ||||
\(426\) | 5.34945 | + | 14.8928i | 0.259182 | + | 0.721559i | ||||
\(427\) | −0.822594 | + | 1.80123i | −0.0398081 | + | 0.0871676i | ||||
\(428\) | −0.865279 | − | 6.01815i | −0.0418248 | − | 0.290898i | ||||
\(429\) | −28.5368 | + | 27.8514i | −1.37777 | + | 1.34468i | ||||
\(430\) | −10.5579 | − | 23.1185i | −0.509145 | − | 1.11487i | ||||
\(431\) | 23.8818 | − | 15.3479i | 1.15035 | − | 0.739282i | 0.180638 | − | 0.983550i | \(-0.442184\pi\) |
0.969708 | + | 0.244268i | \(0.0785476\pi\) | |||||||
\(432\) | 5.19298 | − | 0.181490i | 0.249847 | − | 0.00873192i | ||||
\(433\) | 5.81783 | − | 9.05272i | 0.279587 | − | 0.435046i | −0.672851 | − | 0.739778i | \(-0.734931\pi\) |
0.952438 | + | 0.304732i | \(0.0985669\pi\) | |||||||
\(434\) | −0.816605 | + | 0.942413i | −0.0391983 | + | 0.0452373i | ||||
\(435\) | −1.86243 | − | 0.428921i | −0.0892968 | − | 0.0205652i | ||||
\(436\) | 8.55055i | 0.409497i | ||||||||
\(437\) | 2.06162 | − | 1.57453i | 0.0986205 | − | 0.0753200i | ||||
\(438\) | −16.7791 | + | 0.995242i | −0.801738 | + | 0.0475545i | ||||
\(439\) | 0.155517 | + | 0.0456639i | 0.00742242 | + | 0.00217942i | 0.285442 | − | 0.958396i | \(-0.407860\pi\) |
−0.278019 | + | 0.960576i | \(0.589678\pi\) | |||||||
\(440\) | −14.2946 | − | 12.3863i | −0.681468 | − | 0.590496i | ||||
\(441\) | −15.4639 | − | 7.52166i | −0.736377 | − | 0.358174i | ||||
\(442\) | −27.9512 | − | 4.01878i | −1.32950 | − | 0.191154i | ||||
\(443\) | −12.3664 | − | 19.2424i | −0.587543 | − | 0.914236i | −0.999995 | − | 0.00325581i | \(-0.998964\pi\) |
0.412451 | − | 0.910980i | \(-0.364673\pi\) | |||||||
\(444\) | 1.99554 | + | 3.76257i | 0.0947041 | + | 0.178564i | ||||
\(445\) | 6.69466 | + | 7.72606i | 0.317358 | + | 0.366250i | ||||
\(446\) | 14.6955 | − | 2.11289i | 0.695850 | − | 0.100048i | ||||
\(447\) | −5.57400 | − | 2.15653i | −0.263641 | − | 0.102000i | ||||
\(448\) | 0.317239 | + | 1.08042i | 0.0149881 | + | 0.0510449i | ||||
\(449\) | −0.00112074 | − | 0.00381690i | −5.28911e−5 | − | 0.000180131i | 0.959467 | − | 0.281823i | \(-0.0909390\pi\) |
−0.959519 | + | 0.281642i | \(0.909121\pi\) | |||||||
\(450\) | 20.0702 | + | 6.42705i | 0.946121 | + | 0.302974i | ||||
\(451\) | 25.4915 | − | 3.66512i | 1.20035 | − | 0.172584i | ||||
\(452\) | 1.61285 | + | 1.86132i | 0.0758619 | + | 0.0875492i | ||||
\(453\) | 6.95884 | − | 3.69073i | 0.326955 | − | 0.173405i | ||||
\(454\) | 3.87907 | + | 6.03595i | 0.182054 | + | 0.283281i | ||||
\(455\) | 16.3130 | + | 2.34545i | 0.764763 | + | 0.109956i | ||||
\(456\) | −0.458961 | + | 0.816764i | −0.0214928 | + | 0.0382485i | ||||
\(457\) | −2.60575 | − | 2.25790i | −0.121892 | − | 0.105620i | 0.591782 | − | 0.806098i | \(-0.298425\pi\) |
−0.713674 | + | 0.700478i | \(0.752970\pi\) | |||||||
\(458\) | 7.98154 | + | 2.34359i | 0.372953 | + | 0.109509i | ||||
\(459\) | −6.14638 | − | 34.2169i | −0.286889 | − | 1.59711i | ||||
\(460\) | 14.5186 | − | 8.11035i | 0.676935 | − | 0.378147i | ||||
\(461\) | − | 18.0351i | − | 0.839979i | −0.907529 | − | 0.419989i | \(-0.862034\pi\) | ||
0.907529 | − | 0.419989i | \(-0.137966\pi\) | |||||||
\(462\) | 2.38749 | − | 10.3668i | 0.111076 | − | 0.482307i | ||||
\(463\) | 5.02851 | − | 5.80321i | 0.233695 | − | 0.269698i | −0.626774 | − | 0.779201i | \(-0.715625\pi\) |
0.860469 | + | 0.509503i | \(0.170171\pi\) | |||||||
\(464\) | 0.172034 | − | 0.267690i | 0.00798646 | − | 0.0124272i | ||||
\(465\) | −6.62818 | − | 0.555109i | −0.307374 | − | 0.0257426i | ||||
\(466\) | −0.942540 | + | 0.605734i | −0.0436623 | + | 0.0280601i | ||||
\(467\) | −6.12689 | − | 13.4160i | −0.283519 | − | 0.620820i | 0.713270 | − | 0.700889i | \(-0.247213\pi\) |
−0.996789 | + | 0.0800692i | \(0.974486\pi\) | |||||||
\(468\) | 9.36508 | + | 8.52215i | 0.432901 | + | 0.393937i | ||||
\(469\) | 0.787673 | + | 5.47838i | 0.0363713 | + | 0.252968i | ||||
\(470\) | 6.00995 | − | 13.1600i | 0.277219 | − | 0.607024i | ||||
\(471\) | 26.1723 | − | 9.40099i | 1.20595 | − | 0.433175i | ||||
\(472\) | −2.31851 | + | 0.680775i | −0.106718 | + | 0.0313352i | ||||
\(473\) | −36.3645 | − | 16.6071i | −1.67204 | − | 0.763597i | ||||
\(474\) | 19.4416 | − | 3.98241i | 0.892982 | − | 0.182918i | ||||
\(475\) | −2.87165 | + | 2.48830i | −0.131761 | + | 0.114171i | ||||
\(476\) | 6.85284 | − | 3.12959i | 0.314099 | − | 0.143444i | ||||
\(477\) | −21.2664 | + | 17.5408i | −0.973720 | + | 0.803136i | ||||
\(478\) | 0.734016 | − | 5.10519i | 0.0335731 | − | 0.233506i | ||||
\(479\) | 2.02491 | + | 1.30133i | 0.0925203 | + | 0.0594592i | 0.586083 | − | 0.810251i | \(-0.300669\pi\) |
−0.493563 | + | 0.869710i | \(0.664306\pi\) | |||||||
\(480\) | −3.65755 | + | 4.76409i | −0.166943 | + | 0.217450i | ||||
\(481\) | −2.92397 | + | 9.95813i | −0.133322 | + | 0.454052i | ||||
\(482\) | 10.4116 | 0.474237 | ||||||||
\(483\) | 7.85590 | + | 5.07669i | 0.357456 | + | 0.230998i | ||||
\(484\) | −18.7518 | −0.852353 | ||||||||
\(485\) | −14.6857 | + | 50.0148i | −0.666843 | + | 2.27106i | ||||
\(486\) | −6.32466 | + | 14.2478i | −0.286892 | + | 0.646292i | ||||
\(487\) | 18.7222 | + | 12.0320i | 0.848385 | + | 0.545224i | 0.891071 | − | 0.453865i | \(-0.149955\pi\) |
−0.0426858 | + | 0.999089i | \(0.513591\pi\) | |||||||
\(488\) | 0.250267 | − | 1.74065i | 0.0113291 | − | 0.0787954i | ||||
\(489\) | 6.58763 | + | 9.02670i | 0.297903 | + | 0.408202i | ||||
\(490\) | 18.0807 | − | 8.25716i | 0.816801 | − | 0.373020i | ||||
\(491\) | 26.4667 | − | 22.9335i | 1.19442 | − | 1.03497i | 0.195903 | − | 0.980623i | \(-0.437236\pi\) |
0.998522 | − | 0.0543513i | \(-0.0173091\pi\) | |||||||
\(492\) | −1.64108 | − | 8.01156i | −0.0739858 | − | 0.361189i | ||||
\(493\) | −1.93654 | − | 0.884386i | −0.0872172 | − | 0.0398307i | ||||
\(494\) | −2.19056 | + | 0.643206i | −0.0985579 | + | 0.0289392i | ||||
\(495\) | 52.1733 | − | 22.3104i | 2.34502 | − | 1.00278i | ||||
\(496\) | 0.460040 | − | 1.00735i | 0.0206564 | − | 0.0452312i | ||||
\(497\) | −1.46409 | − | 10.1830i | −0.0656733 | − | 0.456768i | ||||
\(498\) | 3.80338 | + | 3.89698i | 0.170434 | + | 0.174628i | ||||
\(499\) | −13.5846 | − | 29.7461i | −0.608129 | − | 1.33162i | −0.923846 | − | 0.382764i | \(-0.874972\pi\) |
0.315717 | − | 0.948853i | \(-0.397755\pi\) | |||||||
\(500\) | −5.90653 | + | 3.79589i | −0.264148 | + | 0.169758i | ||||
\(501\) | −1.44460 | + | 17.2490i | −0.0645402 | + | 0.770631i | ||||
\(502\) | 12.7218 | − | 19.7954i | 0.567800 | − | 0.883513i | ||||
\(503\) | 3.18224 | − | 3.67250i | 0.141889 | − | 0.163749i | −0.680357 | − | 0.732881i | \(-0.738175\pi\) |
0.822246 | + | 0.569132i | \(0.192721\pi\) | |||||||
\(504\) | −3.33103 | − | 0.561887i | −0.148376 | − | 0.0250285i | ||||
\(505\) | 42.1073i | 1.87375i | ||||||||
\(506\) | 8.90503 | − | 24.5966i | 0.395877 | − | 1.09345i | ||||
\(507\) | 0.493765 | + | 8.32457i | 0.0219289 | + | 0.369707i | ||||
\(508\) | −6.54035 | − | 1.92042i | −0.290181 | − | 0.0852048i | ||||
\(509\) | 17.6690 | + | 15.3103i | 0.783164 | + | 0.678616i | 0.951683 | − | 0.307083i | \(-0.0993529\pi\) |
−0.168519 | + | 0.985698i | \(0.553898\pi\) | |||||||
\(510\) | 35.0320 | + | 19.6854i | 1.55124 | + | 0.871685i | ||||
\(511\) | 10.8163 | + | 1.55515i | 0.478484 | + | 0.0687957i | ||||
\(512\) | −0.540641 | − | 0.841254i | −0.0238932 | − | 0.0371785i | ||||
\(513\) | −1.60121 | − | 2.30995i | −0.0706951 | − | 0.101987i | ||||
\(514\) | 16.0724 | + | 18.5485i | 0.708924 | + | 0.818141i | ||||
\(515\) | 7.46526 | − | 1.07334i | 0.328958 | − | 0.0472971i | ||||
\(516\) | −4.58052 | + | 11.8393i | −0.201646 | + | 0.521198i | ||||
\(517\) | −6.41128 | − | 21.8348i | −0.281968 | − | 0.960294i | ||||
\(518\) | −0.780071 | − | 2.65668i | −0.0342744 | − | 0.116728i | ||||
\(519\) | −14.3810 | + | 37.1708i | −0.631257 | + | 1.63162i | ||||
\(520\) | −14.4872 | + | 2.08294i | −0.635304 | + | 0.0913429i | ||||
\(521\) | 6.62077 | + | 7.64077i | 0.290061 | + | 0.334748i | 0.882013 | − | 0.471225i | \(-0.156188\pi\) |
−0.591952 | + | 0.805973i | \(0.701643\pi\) | |||||||
\(522\) | 0.496428 | + | 0.815377i | 0.0217280 | + | 0.0356881i | ||||
\(523\) | −11.0228 | − | 17.1518i | −0.481994 | − | 0.749997i | 0.512052 | − | 0.858954i | \(-0.328885\pi\) |
−0.994046 | + | 0.108957i | \(0.965249\pi\) | |||||||
\(524\) | 17.4179 | + | 2.50431i | 0.760904 | + | 0.109401i | ||||
\(525\) | −11.9440 | − | 6.71168i | −0.521281 | − | 0.292922i | ||||
\(526\) | −11.6083 | − | 10.0587i | −0.506146 | − | 0.438578i | ||||
\(527\) | −7.10903 | − | 2.08740i | −0.309674 | − | 0.0909286i | ||||
\(528\) | 0.559388 | + | 9.43093i | 0.0243442 | + | 0.410428i | ||||
\(529\) | 17.6692 | + | 14.7240i | 0.768228 | + | 0.640176i | ||||
\(530\) | − | 31.8644i | − | 1.38410i | ||||||
\(531\) | 1.20578 | − | 7.14818i | 0.0523262 | − | 0.310205i | ||||
\(532\) | 0.398862 | − | 0.460312i | 0.0172929 | − | 0.0199570i | ||||
\(533\) | 10.7741 | − | 16.7648i | 0.466676 | − | 0.726162i | ||||
\(534\) | 0.426156 | − | 5.08844i | 0.0184416 | − | 0.220199i | ||||
\(535\) | −17.7366 | + | 11.3986i | −0.766821 | + | 0.492806i | ||||
\(536\) | −2.04187 | − | 4.47107i | −0.0881954 | − | 0.193121i | ||||
\(537\) | −17.0741 | − | 17.4943i | −0.736802 | − | 0.754935i | ||||
\(538\) | 2.96970 | + | 20.6547i | 0.128033 | + | 0.890487i | ||||
\(539\) | 12.9882 | − | 28.4402i | 0.559442 | − | 1.22501i | ||||
\(540\) | −8.05308 | − | 16.1188i | −0.346549 | − | 0.693643i | ||||
\(541\) | 2.46769 | − | 0.724579i | 0.106094 | − | 0.0311521i | −0.228255 | − | 0.973601i | \(-0.573302\pi\) |
0.334349 | + | 0.942449i | \(0.391484\pi\) | |||||||
\(542\) | −21.5413 | − | 9.83756i | −0.925276 | − | 0.422559i | ||||
\(543\) | 1.49389 | + | 7.29296i | 0.0641088 | + | 0.312971i | ||||
\(544\) | −5.05630 | + | 4.38131i | −0.216787 | + | 0.187847i | ||||
\(545\) | 26.9710 | − | 12.3173i | 1.15531 | − | 0.527613i | ||||
\(546\) | −4.85272 | − | 6.64943i | −0.207677 | − | 0.284569i | ||||
\(547\) | 5.56535 | − | 38.7079i | 0.237957 | − | 1.65503i | −0.424130 | − | 0.905601i | \(-0.639420\pi\) |
0.662087 | − | 0.749427i | \(-0.269671\pi\) | |||||||
\(548\) | −11.6986 | − | 7.51823i | −0.499739 | − | 0.321163i | ||||
\(549\) | 4.36751 | + | 2.95926i | 0.186401 | + | 0.126298i | ||||
\(550\) | −10.7950 | + | 36.7644i | −0.460301 | + | 1.56764i | ||||
\(551\) | −0.172119 | −0.00733252 | ||||||||
\(552\) | −7.96423 | − | 2.36032i | −0.338980 | − | 0.100462i | ||||
\(553\) | −12.9017 | −0.548635 | ||||||||
\(554\) | −9.33240 | + | 31.7832i | −0.396496 | + | 1.35034i | ||||
\(555\) | 8.99368 | − | 11.7146i | 0.381760 | − | 0.497257i | ||||
\(556\) | 12.4846 | + | 8.02337i | 0.529465 | + | 0.340267i | ||||
\(557\) | −2.58495 | + | 17.9787i | −0.109528 | + | 0.761783i | 0.858838 | + | 0.512247i | \(0.171187\pi\) |
−0.968366 | + | 0.249535i | \(0.919722\pi\) | |||||||
\(558\) | 2.11395 | + | 2.56295i | 0.0894906 | + | 0.108498i | ||||
\(559\) | −28.1391 | + | 12.8507i | −1.19016 | + | 0.543526i | ||||
\(560\) | 2.95097 | − | 2.55703i | 0.124701 | − | 0.108054i | ||||
\(561\) | 61.9223 | − | 12.6841i | 2.61436 | − | 0.535524i | ||||
\(562\) | −15.4157 | − | 7.04013i | −0.650273 | − | 0.296970i | ||||
\(563\) | 8.47052 | − | 2.48717i | 0.356990 | − | 0.104822i | −0.0983196 | − | 0.995155i | \(-0.531347\pi\) |
0.455310 | + | 0.890333i | \(0.349529\pi\) | |||||||
\(564\) | −6.80081 | + | 2.44283i | −0.286366 | + | 0.102862i | ||||
\(565\) | 3.54784 | − | 7.76868i | 0.149259 | − | 0.326831i | ||||
\(566\) | 3.15054 | + | 21.9125i | 0.132427 | + | 0.921051i | ||||
\(567\) | 5.88687 | − | 8.24912i | 0.247225 | − | 0.346431i | ||||
\(568\) | 3.79533 | + | 8.31062i | 0.159249 | + | 0.348706i | ||||
\(569\) | 5.93908 | − | 3.81682i | 0.248979 | − | 0.160009i | −0.410199 | − | 0.911996i | \(-0.634541\pi\) |
0.659178 | + | 0.751987i | \(0.270904\pi\) | |||||||
\(570\) | 3.23746 | + | 0.271137i | 0.135602 | + | 0.0113567i | ||||
\(571\) | 2.96871 | − | 4.61940i | 0.124237 | − | 0.193316i | −0.773564 | − | 0.633718i | \(-0.781528\pi\) |
0.897801 | + | 0.440402i | \(0.145164\pi\) | |||||||
\(572\) | −15.0763 | + | 17.3989i | −0.630370 | + | 0.727486i | ||||
\(573\) | −3.30279 | + | 14.3412i | −0.137976 | + | 0.599112i | ||||
\(574\) | 5.31657i | 0.221909i | ||||||||
\(575\) | −27.1631 | − | 19.9285i | −1.13278 | − | 0.831077i | ||||
\(576\) | 2.97896 | − | 0.354638i | 0.124124 | − | 0.0147766i | ||||
\(577\) | 29.4154 | + | 8.63714i | 1.22458 | + | 0.359569i | 0.829201 | − | 0.558950i | \(-0.188796\pi\) |
0.395377 | + | 0.918519i | \(0.370614\pi\) | |||||||
\(578\) | 20.9812 | + | 18.1803i | 0.872702 | + | 0.756201i | ||||
\(579\) | 1.02537 | − | 1.82474i | 0.0426128 | − | 0.0758335i | ||||
\(580\) | −1.09219 | − | 0.157034i | −0.0453508 | − | 0.00652046i | ||||
\(581\) | −1.91393 | − | 2.97813i | −0.0794032 | − | 0.123554i | ||||
\(582\) | 23.0015 | − | 12.1992i | 0.953444 | − | 0.505674i | ||||
\(583\) | −32.8226 | − | 37.8793i | −1.35937 | − | 1.56880i | ||||
\(584\) | −9.60569 | + | 1.38109i | −0.397486 | + | 0.0571499i | ||||
\(585\) | 13.3908 | − | 41.8166i | 0.553643 | − | 1.72891i | ||||
\(586\) | 7.62326 | + | 25.9624i | 0.314914 | + | 1.07250i | ||||
\(587\) | 0.278923 | + | 0.949924i | 0.0115124 | + | 0.0392076i | 0.965049 | − | 0.262070i | \(-0.0844051\pi\) |
−0.953536 | + | 0.301278i | \(0.902587\pi\) | |||||||
\(588\) | −9.25938 | − | 3.58237i | −0.381850 | − | 0.147734i | ||||
\(589\) | −0.592919 | + | 0.0852488i | −0.0244308 | + | 0.00351262i | ||||
\(590\) | 5.48723 | + | 6.33261i | 0.225906 | + | 0.260709i | ||||
\(591\) | 0.0415997 | + | 0.0784360i | 0.00171118 | + | 0.00322642i | ||||
\(592\) | 1.32940 | + | 2.06859i | 0.0546381 | + | 0.0850186i | ||||
\(593\) | 31.7713 | + | 4.56802i | 1.30469 | + | 0.187586i | 0.759379 | − | 0.650648i | \(-0.225503\pi\) |
0.545310 | + | 0.838234i | \(0.316412\pi\) | |||||||
\(594\) | −26.1768 | − | 10.8662i | −1.07405 | − | 0.445847i | ||||
\(595\) | −19.7433 | − | 17.1077i | −0.809398 | − | 0.701347i | ||||
\(596\) | −3.31083 | − | 0.972148i | −0.135617 | − | 0.0398208i | ||||
\(597\) | −29.2570 | + | 1.73536i | −1.19741 | + | 0.0710234i | ||||
\(598\) | −9.87167 | − | 17.6716i | −0.403682 | − | 0.722647i | ||||
\(599\) | 24.9640i | 1.02000i | 0.860174 | + | 0.510000i | \(0.170355\pi\) | ||||
−0.860174 | + | 0.510000i | \(0.829645\pi\) | |||||||
\(600\) | 11.8568 | + | 2.73064i | 0.484053 | + | 0.111478i | ||||
\(601\) | −1.43270 | + | 1.65343i | −0.0584412 | + | 0.0674447i | −0.784217 | − | 0.620486i | \(-0.786935\pi\) |
0.725776 | + | 0.687931i | \(0.241481\pi\) | |||||||
\(602\) | 4.46184 | − | 6.94276i | 0.181851 | − | 0.282966i | ||||
\(603\) | 14.7414 | + | 0.358435i | 0.600317 | + | 0.0145966i | ||||
\(604\) | 3.82583 | − | 2.45871i | 0.155671 | − | 0.100044i | ||||
\(605\) | 27.0123 | + | 59.1488i | 1.09821 | + | 2.40474i | ||||
\(606\) | 15.0515 | − | 14.6900i | 0.611426 | − | 0.596740i | ||||
\(607\) | 2.04248 | + | 14.2058i | 0.0829017 | + | 0.576594i | 0.988357 | + | 0.152152i | \(0.0486205\pi\) |
−0.905455 | + | 0.424442i | \(0.860470\pi\) | |||||||
\(608\) | −0.224702 | + | 0.492028i | −0.00911286 | + | 0.0199544i | ||||
\(609\) | −0.209795 | − | 0.584068i | −0.00850133 | − | 0.0236676i | ||||
\(610\) | −5.85105 | + | 1.71802i | −0.236902 | + | 0.0695607i | ||||
\(611\) | −16.0179 | − | 7.31513i | −0.648015 | − | 0.295938i | ||||
\(612\) | −5.18496 | − | 19.3901i | −0.209589 | − | 0.783797i | ||||
\(613\) | −34.8471 | + | 30.1952i | −1.40746 | + | 1.21957i | −0.464976 | + | 0.885323i | \(0.653937\pi\) |
−0.942485 | + | 0.334249i | \(0.891517\pi\) | |||||||
\(614\) | −21.3778 | + | 9.76292i | −0.862738 | + | 0.393999i | ||||
\(615\) | −22.9069 | + | 16.7173i | −0.923694 | + | 0.674107i | ||||
\(616\) | 0.874090 | − | 6.07943i | 0.0352181 | − | 0.244947i | ||||
\(617\) | −28.1178 | − | 18.0702i | −1.13198 | − | 0.727479i | −0.166008 | − | 0.986124i | \(-0.553088\pi\) |
−0.965972 | + | 0.258645i | \(0.916724\pi\) | |||||||
\(618\) | −2.98808 | − | 2.29405i | −0.120198 | − | 0.0922801i | ||||
\(619\) | −4.48251 | + | 15.2660i | −0.180167 | + | 0.613593i | 0.819038 | + | 0.573739i | \(0.194508\pi\) |
−0.999206 | + | 0.0398542i | \(0.987311\pi\) | |||||||
\(620\) | −3.84018 | −0.154225 | ||||||||
\(621\) | 16.8184 | − | 18.3886i | 0.674899 | − | 0.737910i | ||||
\(622\) | 19.0266 | 0.762896 | ||||||||
\(623\) | −0.935252 | + | 3.18518i | −0.0374701 | + | 0.127611i | ||||
\(624\) | 5.79870 | + | 4.45185i | 0.232134 | + | 0.178217i | ||||
\(625\) | −9.06602 | − | 5.82638i | −0.362641 | − | 0.233055i | ||||
\(626\) | 4.32443 | − | 30.0771i | 0.172839 | − | 1.20212i | ||||
\(627\) | 4.12788 | − | 3.01250i | 0.164852 | − | 0.120308i | ||||
\(628\) | 14.6049 | − | 6.66982i | 0.582798 | − | 0.266155i | ||||
\(629\) | 12.4331 | − | 10.7734i | 0.495742 | − | 0.429563i | ||||
\(630\) | 3.02606 | + | 11.3165i | 0.120561 | + | 0.450860i | ||||
\(631\) | −24.9128 | − | 11.3773i | −0.991763 | − | 0.452923i | −0.147622 | − | 0.989044i | \(-0.547162\pi\) |
−0.844141 | + | 0.536121i | \(0.819889\pi\) | |||||||
\(632\) | 10.9936 | − | 3.22800i | 0.437300 | − | 0.128403i | ||||
\(633\) | −6.55003 | − | 18.2352i | −0.260340 | − | 0.724786i | ||||
\(634\) | 8.93945 | − | 19.5747i | 0.355031 | − | 0.777409i | ||||
\(635\) | 3.36393 | + | 23.3966i | 0.133493 | + | 0.928467i | ||||
\(636\) | −11.3901 | + | 11.1165i | −0.451648 | + | 0.440799i | ||||
\(637\) | −10.0504 | − | 22.0072i | −0.398209 | − | 0.871957i | ||||
\(638\) | −1.46012 | + | 0.938361i | −0.0578066 | + | 0.0371501i | ||||
\(639\) | −27.4006 | − | 0.666241i | −1.08395 | − | 0.0263561i | ||||
\(640\) | −1.87476 | + | 2.91719i | −0.0741065 | + | 0.115312i | ||||
\(641\) | −8.21721 | + | 9.48316i | −0.324560 | + | 0.374562i | −0.894457 | − | 0.447154i | \(-0.852438\pi\) |
0.569897 | + | 0.821716i | \(0.306983\pi\) | |||||||
\(642\) | 10.2623 | + | 2.36342i | 0.405020 | + | 0.0932767i | ||||
\(643\) | 6.52422i | 0.257290i | 0.991691 | + | 0.128645i | \(0.0410628\pi\) | ||||
−0.991691 | + | 0.128645i | \(0.958937\pi\) | |||||||
\(644\) | 4.76440 | + | 2.54227i | 0.187744 | + | 0.100180i | ||||
\(645\) | 43.9432 | − | 2.60646i | 1.73026 | − | 0.102629i | ||||
\(646\) | 3.47233 | + | 1.01957i | 0.136617 | + | 0.0401144i | ||||
\(647\) | 13.1388 | + | 11.3849i | 0.516541 | + | 0.447585i | 0.873705 | − | 0.486457i | \(-0.161711\pi\) |
−0.357164 | + | 0.934042i | \(0.616256\pi\) | |||||||
\(648\) | −2.95229 | + | 8.50200i | −0.115977 | + | 0.333990i | ||||
\(649\) | 13.0461 | + | 1.87574i | 0.512104 | + | 0.0736294i | ||||
\(650\) | 16.0298 | + | 24.9428i | 0.628739 | + | 0.978337i | ||||
\(651\) | −1.01199 | − | 1.90810i | −0.0396630 | − | 0.0747842i | ||||
\(652\) | 4.22505 | + | 4.87597i | 0.165466 | + | 0.190958i | ||||
\(653\) | −24.6073 | + | 3.53800i | −0.962958 | + | 0.138453i | −0.605822 | − | 0.795600i | \(-0.707156\pi\) |
−0.357136 | + | 0.934052i | \(0.616247\pi\) | |||||||
\(654\) | −13.8123 | − | 5.34384i | −0.540103 | − | 0.208961i | ||||
\(655\) | −17.1915 | − | 58.5488i | −0.671727 | − | 2.28769i | ||||
\(656\) | −1.33021 | − | 4.53027i | −0.0519358 | − | 0.176877i | ||||
\(657\) | 8.87878 | − | 27.7265i | 0.346394 | − | 1.08171i | ||||
\(658\) | 4.65005 | − | 0.668576i | 0.181278 | − | 0.0260638i | ||||
\(659\) | −1.15555 | − | 1.33358i | −0.0450140 | − | 0.0519489i | 0.732796 | − | 0.680448i | \(-0.238215\pi\) |
−0.777810 | + | 0.628499i | \(0.783669\pi\) | |||||||
\(660\) | 28.9422 | − | 15.3499i | 1.12657 | − | 0.597496i | ||||
\(661\) | −9.56182 | − | 14.8785i | −0.371912 | − | 0.578706i | 0.603970 | − | 0.797007i | \(-0.293585\pi\) |
−0.975881 | + | 0.218301i | \(0.929948\pi\) | |||||||
\(662\) | −24.5499 | − | 3.52974i | −0.954158 | − | 0.137187i | ||||
\(663\) | 23.9605 | − | 42.6399i | 0.930548 | − | 1.65599i | ||||
\(664\) | 2.37600 | + | 2.05881i | 0.0922065 | + | 0.0798974i | ||||
\(665\) | −2.02653 | − | 0.595044i | −0.0785856 | − | 0.0230748i | ||||
\(666\) | −7.32509 | + | 0.872032i | −0.283842 | + | 0.0337906i | ||||
\(667\) | −0.338738 | − | 1.48798i | −0.0131160 | − | 0.0576148i | ||||
\(668\) | 9.99361i | 0.386664i | ||||||||
\(669\) | −5.77113 | + | 25.0591i | −0.223125 | + | 0.968839i | ||||
\(670\) | −11.1618 | + | 12.8814i | −0.431216 | + | 0.497650i | ||||
\(671\) | −5.18584 | + | 8.06933i | −0.200197 | + | 0.311513i | ||||
\(672\) | −1.94354 | − | 0.162771i | −0.0749735 | − | 0.00627902i | ||||
\(673\) | −26.4183 | + | 16.9780i | −1.01835 | + | 0.654453i | −0.939541 | − | 0.342437i | \(-0.888748\pi\) |
−0.0788082 | + | 0.996890i | \(0.525111\pi\) | |||||||
\(674\) | 6.31657 | + | 13.8314i | 0.243305 | + | 0.532764i | ||||
\(675\) | −22.9253 | + | 28.4041i | −0.882397 | + | 1.09327i | ||||
\(676\) | 0.685195 | + | 4.76563i | 0.0263536 | + | 0.183294i | ||||
\(677\) | −0.624956 | + | 1.36846i | −0.0240190 | + | 0.0525943i | −0.921261 | − | 0.388944i | \(-0.872840\pi\) |
0.897242 | + | 0.441539i | \(0.145567\pi\) | |||||||
\(678\) | −4.01470 | + | 1.44207i | −0.154184 | + | 0.0553822i | ||||
\(679\) | −16.2409 | + | 4.76877i | −0.623270 | + | 0.183008i | ||||
\(680\) | 21.1037 | + | 9.63774i | 0.809290 | + | 0.369590i | ||||
\(681\) | −12.1746 | + | 2.49383i | −0.466531 | + | 0.0955639i | ||||
\(682\) | −4.56508 | + | 3.95566i | −0.174806 | + | 0.151470i | ||||
\(683\) | −19.3713 | + | 8.84656i | −0.741221 | + | 0.338504i | −0.749983 | − | 0.661457i | \(-0.769938\pi\) |
0.00876169 | + | 0.999962i | \(0.497211\pi\) | |||||||
\(684\) | −1.03254 | − | 1.25184i | −0.0394800 | − | 0.0478655i | ||||
\(685\) | −6.86270 | + | 47.7311i | −0.262210 | + | 1.82371i | ||||
\(686\) | 12.0608 | + | 7.75099i | 0.460482 | + | 0.295934i | ||||
\(687\) | −8.77399 | + | 11.4285i | −0.334749 | + | 0.436023i | ||||
\(688\) | −2.06487 | + | 7.03231i | −0.0787225 | + | 0.268104i | ||||
\(689\) | −38.7843 | −1.47756 | ||||||||
\(690\) | 4.02748 | + | 28.5217i | 0.153323 | + | 1.08580i | ||||
\(691\) | 7.45907 | 0.283756 | 0.141878 | − | 0.989884i | \(-0.454686\pi\) | ||||
0.141878 | + | 0.989884i | \(0.454686\pi\) | |||||||
\(692\) | −6.48288 | + | 22.0787i | −0.246442 | + | 0.839305i | ||||
\(693\) | 15.2541 | + | 10.3356i | 0.579454 | + | 0.392617i | ||||
\(694\) | −3.91720 | − | 2.51743i | −0.148695 | − | 0.0955604i | ||||
\(695\) | 7.32379 | − | 50.9381i | 0.277807 | − | 1.93219i | ||||
\(696\) | 0.324901 | + | 0.445196i | 0.0123153 | + | 0.0168751i | ||||
\(697\) | −28.7344 | + | 13.1226i | −1.08839 | + | 0.497053i | ||||
\(698\) | −5.20451 | + | 4.50973i | −0.196993 | + | 0.170696i | ||||
\(699\) | −0.389423 | − | 1.90111i | −0.0147293 | − | 0.0719068i | ||||
\(700\) | −7.19524 | − | 3.28595i | −0.271954 | − | 0.124197i | ||||
\(701\) | −7.24645 | + | 2.12775i | −0.273695 | + | 0.0803640i | −0.415700 | − | 0.909502i | \(-0.636463\pi\) |
0.142005 | + | 0.989866i | \(0.454645\pi\) | |||||||
\(702\) | −19.6193 | + | 9.80195i | −0.740483 | + | 0.369951i | ||||
\(703\) | 0.552528 | − | 1.20987i | 0.0208390 | − | 0.0456310i | ||||
\(704\) | 0.776259 | + | 5.39900i | 0.0292564 | + | 0.203482i | ||||
\(705\) | 17.5021 | + | 17.9329i | 0.659169 | + | 0.675391i | ||||
\(706\) | −14.5434 | − | 31.8456i | −0.547348 | − | 1.19852i | ||||
\(707\) | −11.5026 | + | 7.39227i | −0.432600 | + | 0.278015i | ||||
\(708\) | 0.349296 | − | 4.17071i | 0.0131273 | − | 0.156745i | ||||
\(709\) | 2.93580 | − | 4.56820i | 0.110256 | − | 0.171562i | −0.781740 | − | 0.623604i | \(-0.785668\pi\) |
0.891997 | + | 0.452042i | \(0.149304\pi\) | |||||||
\(710\) | 20.7469 | − | 23.9433i | 0.778619 | − | 0.898574i | ||||
\(711\) | −5.71737 | + | 33.8942i | −0.214418 | + | 1.27113i | ||||
\(712\) | − | 2.94810i | − | 0.110485i | ||||||
\(713\) | −1.90387 | − | 4.95804i | −0.0713005 | − | 0.185680i | ||||
\(714\) | 0.772612 | + | 13.0258i | 0.0289143 | + | 0.487476i | ||||
\(715\) | 76.5992 | + | 22.4916i | 2.86465 | + | 0.841137i | ||||
\(716\) | −10.6663 | − | 9.24240i | −0.398618 | − | 0.345405i | ||||
\(717\) | 7.78802 | + | 4.37630i | 0.290849 | + | 0.163436i | ||||
\(718\) | −0.918905 | − | 0.132119i | −0.0342932 | − | 0.00493062i | ||||
\(719\) | −7.29869 | − | 11.3570i | −0.272195 | − | 0.423544i | 0.678065 | − | 0.735002i | \(-0.262819\pi\) |
−0.950260 | + | 0.311458i | \(0.899183\pi\) | |||||||
\(720\) | −5.40990 | − | 8.88570i | −0.201615 | − | 0.331150i | ||||
\(721\) | 1.60379 | + | 1.85088i | 0.0597284 | + | 0.0689303i | ||||
\(722\) | −18.5170 | + | 2.66234i | −0.689131 | + | 0.0990821i | ||||
\(723\) | −6.50696 | + | 16.8186i | −0.241997 | + | 0.625491i | ||||
\(724\) | 1.21089 | + | 4.12392i | 0.0450025 | + | 0.153264i | ||||
\(725\) | 0.629755 | + | 2.14475i | 0.0233885 | + | 0.0796539i | ||||
\(726\) | 11.7193 | − | 30.2910i | 0.434944 | − | 1.12420i | ||||
\(727\) | −1.04977 | + | 0.150933i | −0.0389336 | + | 0.00559781i | −0.161754 | − | 0.986831i | \(-0.551715\pi\) |
0.122820 | + | 0.992429i | \(0.460806\pi\) | |||||||
\(728\) | −3.11234 | − | 3.59183i | −0.115351 | − | 0.133122i | ||||
\(729\) | −19.0626 | − | 19.1211i | −0.706024 | − | 0.708188i | ||||
\(730\) | 18.1936 | + | 28.3098i | 0.673375 | + | 1.04779i | ||||
\(731\) | 48.5364 | + | 6.97849i | 1.79519 | + | 0.258109i | ||||
\(732\) | 2.65538 | + | 1.49213i | 0.0981455 | + | 0.0551506i | ||||
\(733\) | 25.8250 | + | 22.3775i | 0.953869 | + | 0.826532i | 0.984924 | − | 0.172986i | \(-0.0553414\pi\) |
−0.0310556 | + | 0.999518i | \(0.509887\pi\) | |||||||
\(734\) | −11.9344 | − | 3.50424i | −0.440505 | − | 0.129344i | ||||
\(735\) | 2.03847 | + | 34.3674i | 0.0751903 | + | 1.26766i | ||||
\(736\) | −4.69584 | − | 0.974227i | −0.173091 | − | 0.0359105i | ||||
\(737\) | 26.8103i | 0.987572i | ||||||||
\(738\) | 13.9672 | + | 2.35603i | 0.514141 | + | 0.0867268i | ||||
\(739\) | 29.0748 | − | 33.5541i | 1.06953 | − | 1.23431i | 0.0985575 | − | 0.995131i | \(-0.468577\pi\) |
0.970976 | − | 0.239176i | \(-0.0768774\pi\) | |||||||
\(740\) | 4.60993 | − | 7.17319i | 0.169464 | − | 0.263692i | ||||
\(741\) | 0.330020 | − | 3.94054i | 0.0121236 | − | 0.144759i | ||||
\(742\) | 8.70450 | − | 5.59404i | 0.319552 | − | 0.205364i | ||||
\(743\) | −15.5165 | − | 33.9765i | −0.569247 | − | 1.24648i | −0.947198 | − | 0.320650i | \(-0.896099\pi\) |
0.377951 | − | 0.925826i | \(-0.376629\pi\) | |||||||
\(744\) | 1.33973 | + | 1.37270i | 0.0491167 | + | 0.0503255i | ||||
\(745\) | 1.70288 | + | 11.8438i | 0.0623886 | + | 0.433922i | ||||
\(746\) | −1.74902 | + | 3.82981i | −0.0640361 | + | 0.140219i | ||||
\(747\) | −8.67206 | + | 3.70836i | −0.317294 | + | 0.135682i | ||||
\(748\) | 35.0149 | − | 10.2813i | 1.28027 | − | 0.375922i | ||||
\(749\) | −6.22761 | − | 2.84405i | −0.227552 | − | 0.103919i | ||||
\(750\) | −2.44036 | − | 11.9135i | −0.0891094 | − | 0.435021i | ||||
\(751\) | −21.7132 | + | 18.8146i | −0.792327 | + | 0.686556i | −0.953840 | − | 0.300315i | \(-0.902908\pi\) |
0.161513 | + | 0.986871i | \(0.448363\pi\) | |||||||
\(752\) | −3.79505 | + | 1.73314i | −0.138391 | + | 0.0632011i | ||||
\(753\) | 24.0262 | + | 32.9219i | 0.875563 | + | 1.19974i | ||||
\(754\) | −0.191136 | + | 1.32938i | −0.00696077 | + | 0.0484132i | ||||
\(755\) | −13.2667 | − | 8.52601i | −0.482826 | − | 0.310293i | ||||
\(756\) | 2.98945 | − | 5.02967i | 0.108725 | − | 0.182927i | ||||
\(757\) | 6.18376 | − | 21.0600i | 0.224753 | − | 0.765437i | −0.767483 | − | 0.641069i | \(-0.778491\pi\) |
0.992236 | − | 0.124368i | \(-0.0396905\pi\) | |||||||
\(758\) | −8.20336 | −0.297960 | ||||||||
\(759\) | 34.1671 | + | 29.7570i | 1.24019 | + | 1.08011i | ||||
\(760\) | 1.87569 | 0.0680386 | ||||||||
\(761\) | 10.5126 | − | 35.8025i | 0.381080 | − | 1.29784i | −0.516235 | − | 0.856447i | \(-0.672667\pi\) |
0.897315 | − | 0.441391i | \(-0.145515\pi\) | |||||||
\(762\) | 7.18970 | − | 9.36486i | 0.260456 | − | 0.339253i | ||||
\(763\) | 8.09973 | + | 5.20538i | 0.293230 | + | 0.188447i | ||||
\(764\) | −1.20920 | + | 8.41014i | −0.0437472 | + | 0.304268i | ||||
\(765\) | −53.6931 | + | 44.2868i | −1.94128 | + | 1.60119i | ||||
\(766\) | −30.8054 | + | 14.0683i | −1.11304 | + | 0.508310i | ||||
\(767\) | 7.70785 | − | 6.67889i | 0.278314 | − | 0.241161i | ||||
\(768\) | 1.69682 | − | 0.347575i | 0.0612286 | − | 0.0125420i | ||||
\(769\) | 32.5205 | + | 14.8516i | 1.17272 | + | 0.535563i | 0.903949 | − | 0.427641i | \(-0.140655\pi\) |
0.268771 | + | 0.963204i | \(0.413383\pi\) | |||||||
\(770\) | −20.4355 | + | 6.00041i | −0.736445 | + | 0.216240i | ||||
\(771\) | −40.0075 | + | 14.3706i | −1.44083 | + | 0.517543i | ||||
\(772\) | 0.502008 | − | 1.09924i | 0.0180676 | − | 0.0395626i | ||||
\(773\) | −4.54681 | − | 31.6238i | −0.163537 | − | 1.13743i | −0.891899 | − | 0.452235i | \(-0.850627\pi\) |
0.728361 | − | 0.685193i | \(-0.240282\pi\) | |||||||
\(774\) | −16.2622 | − | 14.7985i | −0.584532 | − | 0.531920i | ||||
\(775\) | 3.23166 | + | 7.07635i | 0.116085 | + | 0.254190i | ||||
\(776\) | 12.6458 | − | 8.12696i | 0.453958 | − | 0.291741i | ||||
\(777\) | 4.77903 | + | 0.400243i | 0.171447 | + | 0.0143587i | ||||
\(778\) | −1.17211 | + | 1.82385i | −0.0420223 | + | 0.0653881i | ||||
\(779\) | −1.67246 | + | 1.93012i | −0.0599220 | + | 0.0691537i | ||||
\(780\) | 5.68933 | − | 24.7039i | 0.203711 | − | 0.884540i | ||||
\(781\) | − | 49.8338i | − | 1.78319i | ||||||
\(782\) | −1.98053 | + | 32.0251i | −0.0708235 | + | 1.14521i | ||||
\(783\) | −1.62739 | + | 0.292327i | −0.0581580 | + | 0.0104469i | ||||
\(784\) | −5.49987 | − | 1.61491i | −0.196424 | − | 0.0576753i | ||||
\(785\) | −42.0773 | − | 36.4602i | −1.50180 | − | 1.30132i | ||||
\(786\) | −14.9311 | + | 26.5712i | −0.532573 | + | 0.947762i | ||||
\(787\) | 12.7089 | + | 1.82727i | 0.453025 | + | 0.0651351i | 0.365051 | − | 0.930988i | \(-0.381052\pi\) |
0.0879740 | + | 0.996123i | \(0.471961\pi\) | |||||||
\(788\) | 0.0277132 | + | 0.0431226i | 0.000987242 | + | 0.00153618i | ||||
\(789\) | 23.5033 | − | 12.4653i | 0.836739 | − | 0.443777i | ||||
\(790\) | −26.0186 | − | 30.0270i | −0.925699 | − | 1.06831i | ||||
\(791\) | 2.74505 | − | 0.394679i | 0.0976027 | − | 0.0140332i | ||||
\(792\) | −15.5840 | − | 4.99043i | −0.553754 | − | 0.177327i | ||||
\(793\) | 2.09112 | + | 7.12171i | 0.0742579 | + | 0.252899i | ||||
\(794\) | −8.17051 | − | 27.8262i | −0.289960 | − | 0.987514i | ||||
\(795\) | 51.4726 | + | 19.9143i | 1.82555 | + | 0.706287i | ||||
\(796\) | −16.7490 | + | 2.40814i | −0.593652 | + | 0.0853542i | ||||
\(797\) | 15.3096 | + | 17.6682i | 0.542293 | + | 0.625839i | 0.959070 | − | 0.283169i | \(-0.0913859\pi\) |
−0.416777 | + | 0.909009i | \(0.636840\pi\) | |||||||
\(798\) | 0.494295 | + | 0.931990i | 0.0174979 | + | 0.0329921i | ||||
\(799\) | 15.0909 | + | 23.4819i | 0.533878 | + | 0.830730i | ||||
\(800\) | 6.95323 | + | 0.999724i | 0.245834 | + | 0.0353456i | ||||
\(801\) | 7.95337 | + | 3.86853i | 0.281019 | + | 0.136688i | ||||
\(802\) | −24.7948 | − | 21.4848i | −0.875533 | − | 0.758654i | ||||
\(803\) | 50.7890 | + | 14.9130i | 1.79231 | + | 0.526268i | ||||
\(804\) | 8.49853 | − | 0.504084i | 0.299720 | − | 0.0177777i | ||||
\(805\) | 1.15588 | − | 18.6906i | 0.0407394 | − | 0.658756i | ||||
\(806\) | 4.67414i | 0.164640i | ||||||||
\(807\) | −35.2209 | − | 8.11142i | −1.23983 | − | 0.285535i | ||||
\(808\) | 7.95185 | − | 9.17693i | 0.279745 | − | 0.322843i | ||||
\(809\) | 11.2758 | − | 17.5455i | 0.396437 | − | 0.616868i | −0.584454 | − | 0.811427i | \(-0.698691\pi\) |
0.980891 | + | 0.194559i | \(0.0623276\pi\) | |||||||
\(810\) | 31.0707 | − | 2.93491i | 1.09171 | − | 0.103122i | ||||
\(811\) | −8.00639 | + | 5.14540i | −0.281143 | + | 0.180679i | −0.673611 | − | 0.739086i | \(-0.735258\pi\) |
0.392468 | + | 0.919766i | \(0.371621\pi\) | |||||||
\(812\) | −0.148846 | − | 0.325927i | −0.00522346 | − | 0.0114378i | ||||
\(813\) | 29.3539 | − | 28.6489i | 1.02949 | − | 1.00476i | ||||
\(814\) | −1.90877 | − | 13.2758i | −0.0669025 | − | 0.465317i | ||||
\(815\) | 9.29400 | − | 20.3510i | 0.325555 | − | 0.712865i | ||||
\(816\) | −3.91739 | − | 10.9060i | −0.137136 | − | 0.381786i | ||||
\(817\) | 3.80384 | − | 1.11691i | 0.133079 | − | 0.0390757i | ||||
\(818\) | 6.11584 | + | 2.79301i | 0.213835 | + | 0.0976554i | ||||
\(819\) | 13.7741 | − | 3.68322i | 0.481305 | − | 0.128702i | ||||
\(820\) | −12.3736 | + | 10.7218i | −0.432106 | + | 0.374422i | ||||
\(821\) | 20.9659 | − | 9.57479i | 0.731713 | − | 0.334162i | −0.0144767 | − | 0.999895i | \(-0.504608\pi\) |
0.746190 | + | 0.665733i | \(0.231881\pi\) | |||||||
\(822\) | 19.4560 | − | 14.1989i | 0.678605 | − | 0.495242i | ||||
\(823\) | −2.32111 | + | 16.1437i | −0.0809087 | + | 0.562733i | 0.908534 | + | 0.417810i | \(0.137202\pi\) |
−0.989443 | + | 0.144922i | \(0.953707\pi\) | |||||||
\(824\) | −1.82969 | − | 1.17587i | −0.0637402 | − | 0.0409633i | ||||
\(825\) | −52.6415 | − | 40.4146i | −1.83274 | − | 1.40706i | ||||
\(826\) | −0.766573 | + | 2.61071i | −0.0266725 | + | 0.0908381i | ||||
\(827\) | 31.5338 | 1.09654 | 0.548269 | − | 0.836302i | \(-0.315287\pi\) | ||||
0.548269 | + | 0.836302i | \(0.315287\pi\) | |||||||
\(828\) | 8.79019 | − | 11.3900i | 0.305480 | − | 0.395831i | ||||
\(829\) | −37.5470 | −1.30406 | −0.652030 | − | 0.758193i | \(-0.726082\pi\) | ||||
−0.652030 | + | 0.758193i | \(0.726082\pi\) | |||||||
\(830\) | 3.07144 | − | 10.4604i | 0.106611 | − | 0.363085i | ||||
\(831\) | −45.5091 | − | 34.9388i | −1.57869 | − | 1.21201i | ||||
\(832\) | 3.55071 | + | 2.28190i | 0.123099 | + | 0.0791108i | ||||
\(833\) | −5.45778 | + | 37.9597i | −0.189101 | + | 1.31523i | ||||
\(834\) | −20.7632 | + | 15.1529i | −0.718971 | + | 0.524701i | ||||
\(835\) | 31.5229 | − | 14.3960i | 1.09089 | − | 0.498194i | ||||
\(836\) | 2.22976 | − | 1.93210i | 0.0771180 | − | 0.0668231i | ||||
\(837\) | −5.46126 | + | 1.81304i | −0.188769 | + | 0.0626678i | ||||
\(838\) | −4.05612 | − | 1.85237i | −0.140116 | − | 0.0639890i | ||||
\(839\) | 26.4189 | − | 7.75730i | 0.912083 | − | 0.267812i | 0.208166 | − | 0.978094i | \(-0.433251\pi\) |
0.703917 | + | 0.710282i | \(0.251432\pi\) | |||||||
\(840\) | 2.28628 | + | 6.36498i | 0.0788841 | + | 0.219613i | ||||
\(841\) | 12.0050 | − | 26.2872i | 0.413965 | − | 0.906456i | ||||
\(842\) | 0.674633 | + | 4.69217i | 0.0232494 | + | 0.161703i | ||||
\(843\) | 21.0068 | − | 20.5022i | 0.723511 | − | 0.706133i | ||||
\(844\) | −4.64712 | − | 10.1758i | −0.159961 | − | 0.350265i | ||||
\(845\) | 14.0452 | − | 9.02631i | 0.483170 | − | 0.310515i | ||||
\(846\) | 0.304239 | − | 12.5125i | 0.0104600 | − | 0.430189i | ||||
\(847\) | −11.4157 | + | 17.7631i | −0.392246 | + | 0.610347i | ||||
\(848\) | −6.01750 | + | 6.94457i | −0.206642 | + | 0.238478i | ||||
\(849\) | −37.3657 | − | 8.60538i | −1.28239 | − | 0.295336i | ||||
\(850\) | − | 46.9986i | − | 1.61204i | ||||||
\(851\) | 11.5468 | + | 2.39556i | 0.395818 | + | 0.0821189i | ||||
\(852\) | −15.7967 | + | 0.936967i | −0.541185 | + | 0.0321000i | ||||
\(853\) | 1.20632 | + | 0.354208i | 0.0413037 | + | 0.0121278i | 0.302319 | − | 0.953207i | \(-0.402239\pi\) |
−0.261015 | + | 0.965335i | \(0.584057\pi\) | |||||||
\(854\) | −1.49652 | − | 1.29674i | −0.0512097 | − | 0.0443735i | ||||
\(855\) | −2.46131 | + | 5.06024i | −0.0841749 | + | 0.173057i | ||||
\(856\) | 6.01815 | + | 0.865279i | 0.205696 | + | 0.0295746i | ||||
\(857\) | −21.0640 | − | 32.7762i | −0.719533 | − | 1.11961i | −0.987718 | − | 0.156247i | \(-0.950060\pi\) |
0.268185 | − | 0.963367i | \(-0.413576\pi\) | |||||||
\(858\) | −18.6835 | − | 35.2275i | −0.637843 | − | 1.20265i | ||||
\(859\) | −23.5208 | − | 27.1444i | −0.802519 | − | 0.926156i | 0.195998 | − | 0.980604i | \(-0.437205\pi\) |
−0.998517 | + | 0.0544482i | \(0.982660\pi\) | |||||||
\(860\) | 25.1565 | − | 3.61696i | 0.857830 | − | 0.123337i | ||||
\(861\) | −8.58821 | − | 3.32270i | −0.292686 | − | 0.113237i | ||||
\(862\) | 7.99792 | + | 27.2384i | 0.272410 | + | 0.927744i | ||||
\(863\) | 12.3529 | + | 42.0700i | 0.420496 | + | 1.43208i | 0.848930 | + | 0.528505i | \(0.177247\pi\) |
−0.428434 | + | 0.903573i | \(0.640935\pi\) | |||||||
\(864\) | −1.28889 | + | 5.03376i | −0.0438491 | + | 0.171252i | ||||
\(865\) | 78.9815 | − | 11.3558i | 2.68545 | − | 0.386110i | ||||
\(866\) | 7.04695 | + | 8.13261i | 0.239465 | + | 0.276357i | ||||
\(867\) | −42.4805 | + | 22.5302i | −1.44271 | + | 0.765165i | ||||
\(868\) | −0.674174 | − | 1.04904i | −0.0228830 | − | 0.0356066i | ||||
\(869\) | −61.8600 | − | 8.89413i | −2.09846 | − | 0.301713i | ||||
\(870\) | 0.936254 | − | 1.66615i | 0.0317420 | − | 0.0564878i | ||||
\(871\) | 15.6788 | + | 13.5857i | 0.531255 | + | 0.460335i | ||||
\(872\) | −8.20419 | − | 2.40897i | −0.277829 | − | 0.0815780i | ||||
\(873\) | 5.33095 | + | 44.7801i | 0.180425 | + | 1.51558i | ||||
\(874\) | 0.929926 | + | 2.42170i | 0.0314552 | + | 0.0819153i | ||||
\(875\) | 7.90597i | 0.267270i | ||||||||
\(876\) | 3.77230 | − | 16.3799i | 0.127454 | − | 0.553424i | ||||
\(877\) | −17.3719 | + | 20.0483i | −0.586608 | + | 0.676982i | −0.969012 | − | 0.247013i | \(-0.920551\pi\) |
0.382404 | + | 0.923995i | \(0.375096\pi\) | |||||||
\(878\) | −0.0876284 | + | 0.136352i | −0.00295731 | + | 0.00460167i | ||||
\(879\) | −46.7032 | − | 3.91138i | −1.57526 | − | 0.131928i | ||||
\(880\) | 15.9119 | − | 10.2259i | 0.536389 | − | 0.344716i | ||||
\(881\) | 8.43060 | + | 18.4604i | 0.284034 | + | 0.621948i | 0.996842 | − | 0.0794115i | \(-0.0253041\pi\) |
−0.712808 | + | 0.701359i | \(0.752577\pi\) | |||||||
\(882\) | 11.5737 | − | 12.7184i | 0.389706 | − | 0.428252i | ||||
\(883\) | 3.27780 | + | 22.7976i | 0.110307 | + | 0.767201i | 0.967621 | + | 0.252407i | \(0.0812223\pi\) |
−0.857314 | + | 0.514793i | \(0.827869\pi\) | |||||||
\(884\) | 11.7308 | − | 25.6868i | 0.394548 | − | 0.863939i | ||||
\(885\) | −13.6588 | + | 4.90621i | −0.459137 | + | 0.164920i | ||||
\(886\) | 21.9470 | − | 6.44422i | 0.737323 | − | 0.216498i | ||||
\(887\) | 33.6760 | + | 15.3793i | 1.13073 | + | 0.516386i | 0.890796 | − | 0.454404i | \(-0.150148\pi\) |
0.239932 | + | 0.970790i | \(0.422875\pi\) | |||||||
\(888\) | −4.17237 | + | 0.854666i | −0.140016 | + | 0.0286807i | ||||
\(889\) | −5.80078 | + | 5.02641i | −0.194552 | + | 0.168580i | ||||
\(890\) | −9.29920 | + | 4.24680i | −0.311710 | + | 0.142353i | ||||
\(891\) | 33.9127 | − | 35.4940i | 1.13612 | − | 1.18909i | ||||
\(892\) | −2.11289 | + | 14.6955i | −0.0707447 | + | 0.492040i | ||||
\(893\) | 1.89847 | + | 1.22007i | 0.0635297 | + | 0.0408281i | ||||
\(894\) | 3.63955 | − | 4.74065i | 0.121725 | − | 0.158551i | ||||
\(895\) | −13.7883 | + | 46.9586i | −0.460892 | + | 1.56965i | ||||
\(896\) | −1.12603 | −0.0376180 | ||||||||
\(897\) | 34.7157 | − | 4.90212i | 1.15912 | − | 0.163677i | ||||
\(898\) | 0.00397804 | 0.000132749 | ||||||||
\(899\) | −0.0992785 | + | 0.338112i | −0.00331112 | + | 0.0112767i | ||||
\(900\) | −11.8211 | + | 17.4466i | −0.394038 | + | 0.581552i | ||||
\(901\) | 51.7189 | + | 33.2377i | 1.72301 | + | 1.10731i | ||||
\(902\) | −3.66512 | + | 25.4915i | −0.122035 | + | 0.848774i | ||||
\(903\) | 8.42660 | + | 11.5465i | 0.280420 | + | 0.384245i | ||||
\(904\) | −2.24032 | + | 1.02312i | −0.0745118 | + | 0.0340284i | ||||
\(905\) | 11.2638 | − | 9.76012i | 0.374421 | − | 0.324437i | ||||
\(906\) | 1.58069 | + | 7.71675i | 0.0525151 | + | 0.256372i | ||||
\(907\) | −17.1488 | − | 7.83159i | −0.569416 | − | 0.260044i | 0.109835 | − | 0.993950i | \(-0.464968\pi\) |
−0.679251 | + | 0.733906i | \(0.737695\pi\) | |||||||
\(908\) | −6.88431 | + | 2.02142i | −0.228464 | + | 0.0670830i | ||||
\(909\) | 14.3230 | + | 33.4945i | 0.475063 | + | 1.11094i | ||||
\(910\) | −6.84633 | + | 14.9914i | −0.226954 | + | 0.496959i | ||||
\(911\) | 5.16512 | + | 35.9242i | 0.171128 | + | 1.19022i | 0.876506 | + | 0.481391i | \(0.159868\pi\) |
−0.705378 | + | 0.708832i | \(0.749223\pi\) | |||||||
\(912\) | −0.654375 | − | 0.670479i | −0.0216685 | − | 0.0222018i | ||||
\(913\) | −7.12371 | − | 15.5988i | −0.235760 | − | 0.516243i | ||||
\(914\) | 2.90056 | − | 1.86408i | 0.0959421 | − | 0.0616582i | ||||
\(915\) | 0.881492 | − | 10.5253i | 0.0291412 | − | 0.347956i | ||||
\(916\) | −4.49732 | + | 6.99797i | −0.148596 | + | 0.231219i | ||||
\(917\) | 12.9759 | − | 14.9750i | 0.428502 | − | 0.494517i | ||||
\(918\) | 34.5625 | + | 3.74261i | 1.14073 | + | 0.123525i | ||||
\(919\) | 53.2873i | 1.75779i | 0.477019 | + | 0.878893i | \(0.341717\pi\) | ||||
−0.477019 | + | 0.878893i | \(0.658283\pi\) | |||||||
\(920\) | 3.69145 | + | 16.2155i | 0.121703 | + | 0.534609i | ||||
\(921\) | −2.41021 | − | 40.6345i | −0.0794190 | − | 1.33895i | ||||
\(922\) | 17.3046 | + | 5.08108i | 0.569895 | + | 0.167336i | ||||
\(923\) | −29.1430 | − | 25.2525i | −0.959253 | − | 0.831197i | ||||
\(924\) | 9.27423 | + | 5.21144i | 0.305100 | + | 0.171444i | ||||
\(925\) | −17.0976 | − | 2.45826i | −0.562165 | − | 0.0808271i | ||||
\(926\) | 4.15145 | + | 6.45978i | 0.136425 | + | 0.212281i | ||||
\(927\) | 5.57319 | − | 3.39314i | 0.183048 | − | 0.111445i | ||||
\(928\) | 0.208379 | + | 0.240482i | 0.00684037 | + | 0.00789421i | ||||
\(929\) | −12.5666 | + | 1.80681i | −0.412298 | + | 0.0592795i | −0.345343 | − | 0.938476i | \(-0.612238\pi\) |
−0.0669551 | + | 0.997756i | \(0.521328\pi\) | |||||||
\(930\) | 2.40000 | − | 6.20330i | 0.0786990 | − | 0.203414i | ||||
\(931\) | 0.873519 | + | 2.97493i | 0.0286284 | + | 0.0974994i | ||||
\(932\) | −0.315653 | − | 1.07502i | −0.0103396 | − | 0.0352133i | ||||
\(933\) | −11.8910 | + | 30.7349i | −0.389295 | + | 1.00622i | ||||
\(934\) | 14.5987 | − | 2.09898i | 0.477685 | − | 0.0686807i | ||||
\(935\) | −82.8702 | − | 95.6373i | −2.71014 | − | 3.12767i | ||||
\(936\) | −10.8154 | + | 6.58476i | −0.353512 | + | 0.215230i | ||||
\(937\) | −11.0898 | − | 17.2560i | −0.362287 | − | 0.563730i | 0.611484 | − | 0.791256i | \(-0.290573\pi\) |
−0.973772 | + | 0.227526i | \(0.926936\pi\) | |||||||
\(938\) | −5.47838 | − | 0.787673i | −0.178876 | − | 0.0257184i | ||||
\(939\) | 45.8829 | + | 25.7828i | 1.49733 | + | 0.841390i | ||||
\(940\) | 10.9337 | + | 9.47410i | 0.356618 | + | 0.309011i | ||||
\(941\) | 15.2789 | + | 4.48630i | 0.498079 | + | 0.146249i | 0.521117 | − | 0.853486i | \(-0.325516\pi\) |
−0.0230380 | + | 0.999735i | \(0.507334\pi\) | |||||||
\(942\) | 1.64660 | + | 27.7607i | 0.0536492 | + | 0.904492i | ||||
\(943\) | −19.9775 | − | 10.6599i | −0.650556 | − | 0.347135i | ||||
\(944\) | − | 2.41639i | − | 0.0786468i | ||||||
\(945\) | −20.1715 | − | 2.18427i | −0.656178 | − | 0.0710544i | ||||
\(946\) | 26.1795 | − | 30.2127i | 0.851169 | − | 0.982301i | ||||
\(947\) | 9.60324 | − | 14.9429i | 0.312064 | − | 0.485580i | −0.649425 | − | 0.760426i | \(-0.724990\pi\) |
0.961488 | + | 0.274845i | \(0.0886267\pi\) | |||||||
\(948\) | −1.65624 | + | 19.7760i | −0.0537922 | + | 0.642296i | ||||
\(949\) | 34.4578 | − | 22.1447i | 1.11855 | − | 0.718846i | ||||
\(950\) | −1.57847 | − | 3.45637i | −0.0512123 | − | 0.112139i | ||||
\(951\) | 26.0334 | + | 26.6741i | 0.844190 | + | 0.864966i | ||||
\(952\) | 1.07215 | + | 7.45696i | 0.0347485 | + | 0.241681i | ||||
\(953\) | −14.8344 | + | 32.4827i | −0.480532 | + | 1.05222i | 0.501785 | + | 0.864992i | \(0.332677\pi\) |
−0.982317 | + | 0.187226i | \(0.940050\pi\) | |||||||
\(954\) | −10.8388 | − | 25.3467i | −0.350919 | − | 0.820631i | ||||
\(955\) | 28.2700 | − | 8.30083i | 0.914796 | − | 0.268608i | ||||
\(956\) | 4.69160 | + | 2.14258i | 0.151737 | + | 0.0692960i | ||||
\(957\) | −0.603267 | − | 2.94507i | −0.0195009 | − | 0.0952007i | ||||
\(958\) | −1.81910 | + | 1.57626i | −0.0587724 | + | 0.0509265i | ||||
\(959\) | −14.2437 | + | 6.50487i | −0.459952 | + | 0.210053i | ||||
\(960\) | −3.54066 | − | 4.85159i | −0.114274 | − | 0.156584i | ||||
\(961\) | 4.23723 | − | 29.4706i | 0.136685 | − | 0.950663i | ||||
\(962\) | −8.73098 | − | 5.61106i | −0.281498 | − | 0.180908i | ||||
\(963\) | −10.2314 | + | 15.1003i | −0.329703 | + | 0.486601i | ||||
\(964\) | −2.93330 | + | 9.98989i | −0.0944751 | + | 0.321753i | ||||
\(965\) | −4.19050 | −0.134897 | ||||||||
\(966\) | −7.08431 | + | 6.10741i | −0.227934 | + | 0.196503i | ||||
\(967\) | 19.5352 | 0.628210 | 0.314105 | − | 0.949388i | \(-0.398296\pi\) | ||||
0.314105 | + | 0.949388i | \(0.398296\pi\) | |||||||
\(968\) | 5.28298 | − | 17.9922i | 0.169802 | − | 0.578291i | ||||
\(969\) | −3.81708 | + | 4.97189i | −0.122622 | + | 0.159720i | ||||
\(970\) | −43.8515 | − | 28.1816i | −1.40799 | − | 0.904857i | ||||
\(971\) | 6.53113 | − | 45.4250i | 0.209594 | − | 1.45776i | −0.564891 | − | 0.825165i | \(-0.691082\pi\) |
0.774485 | − | 0.632592i | \(-0.218009\pi\) | |||||||
\(972\) | −11.8888 | − | 10.0825i | −0.381332 | − | 0.323397i | ||||
\(973\) | 15.2007 | − | 6.94192i | 0.487312 | − | 0.222548i | ||||
\(974\) | −16.8193 | + | 14.5740i | −0.538926 | + | 0.466982i | ||||
\(975\) | −50.3099 | + | 10.3055i | −1.61121 | + | 0.330039i | ||||
\(976\) | 1.59963 | + | 0.730527i | 0.0512029 | + | 0.0233836i | ||||
\(977\) | −29.5224 | + | 8.66855i | −0.944504 | + | 0.277331i | −0.717497 | − | 0.696562i | \(-0.754712\pi\) |
−0.227007 | + | 0.973893i | \(0.572894\pi\) | |||||||
\(978\) | −10.5170 | + | 3.77767i | −0.336297 | + | 0.120797i | ||||
\(979\) | −6.68007 | + | 14.6273i | −0.213496 | + | 0.467491i | ||||
\(980\) | 2.82878 | + | 19.6746i | 0.0903619 | + | 0.628481i | ||||
\(981\) | 17.2645 | − | 18.9722i | 0.551214 | − | 0.605735i | ||||
\(982\) | 14.5480 | + | 31.8557i | 0.464246 | + | 1.01656i | ||||
\(983\) | −12.5808 | + | 8.08517i | −0.401264 | + | 0.257877i | −0.725672 | − | 0.688040i | \(-0.758471\pi\) |
0.324408 | + | 0.945917i | \(0.394835\pi\) | |||||||
\(984\) | 8.14938 | + | 0.682509i | 0.259793 | + | 0.0217576i | ||||
\(985\) | 0.0961002 | − | 0.149535i | 0.00306201 | − | 0.00476458i | ||||
\(986\) | 1.39415 | − | 1.60893i | 0.0443987 | − | 0.0512388i | ||||
\(987\) | −1.82615 | + | 7.92938i | −0.0581269 | + | 0.252395i | ||||
\(988\) | − | 2.28304i | − | 0.0726331i | ||||||
\(989\) | 17.1419 | + | 30.6863i | 0.545079 | + | 0.975767i | ||||
\(990\) | 6.70778 | + | 56.3455i | 0.213187 | + | 1.79078i | ||||
\(991\) | 2.38165 | + | 0.699316i | 0.0756557 | + | 0.0222145i | 0.319341 | − | 0.947640i | \(-0.396538\pi\) |
−0.243686 | + | 0.969854i | \(0.578357\pi\) | |||||||
\(992\) | 0.836935 | + | 0.725208i | 0.0265727 | + | 0.0230254i | ||||
\(993\) | 21.0448 | − | 37.4511i | 0.667835 | − | 1.18847i | ||||
\(994\) | 10.1830 | + | 1.46409i | 0.322984 | + | 0.0464381i | ||||
\(995\) | 31.7233 | + | 49.3624i | 1.00570 | + | 1.56489i | ||||
\(996\) | −4.81066 | + | 2.55141i | −0.152432 | + | 0.0808445i | ||||
\(997\) | −21.5919 | − | 24.9184i | −0.683823 | − | 0.789173i | 0.302650 | − | 0.953102i | \(-0.402129\pi\) |
−0.986472 | + | 0.163929i | \(0.947583\pi\) | |||||||
\(998\) | 32.3684 | − | 4.65387i | 1.02460 | − | 0.147316i | ||||
\(999\) | 3.16931 | − | 12.3777i | 0.100273 | − | 0.391613i |
(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 | 138.2.f.a.5.2 | ✓ | 80 | |
3.2 | odd | 2 | inner | 138.2.f.a.5.7 | yes | 80 | |
23.14 | odd | 22 | inner | 138.2.f.a.83.7 | yes | 80 | |
69.14 | even | 22 | inner | 138.2.f.a.83.2 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.f.a.5.2 | ✓ | 80 | 1.1 | even | 1 | trivial | |
138.2.f.a.5.7 | yes | 80 | 3.2 | odd | 2 | inner | |
138.2.f.a.83.2 | yes | 80 | 69.14 | even | 22 | inner | |
138.2.f.a.83.7 | yes | 80 | 23.14 | odd | 22 | inner |