Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 31.23 | ||
Character | \(\chi\) | \(=\) | 225.31 |
Dual form | 225.2.q.a.196.23 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.15183 | − | 1.27924i | 0.814466 | − | 0.904556i | −0.182436 | − | 0.983218i | \(-0.558398\pi\) |
0.996901 | + | 0.0786620i | \(0.0250648\pi\) | |||||||
\(3\) | 1.47785 | + | 0.903302i | 0.853238 | + | 0.521521i | ||||
\(4\) | −0.100677 | − | 0.957875i | −0.0503383 | − | 0.478937i | ||||
\(5\) | −0.0644453 | − | 2.23514i | −0.0288208 | − | 0.999585i | ||||
\(6\) | 2.85777 | − | 0.850072i | 1.16668 | − | 0.347040i | ||||
\(7\) | −2.11497 | − | 3.66323i | −0.799383 | − | 1.38457i | −0.920018 | − | 0.391876i | \(-0.871826\pi\) |
0.120635 | − | 0.992697i | \(-0.461507\pi\) | |||||||
\(8\) | 1.44394 | + | 1.04909i | 0.510511 | + | 0.370908i | ||||
\(9\) | 1.36809 | + | 2.66989i | 0.456031 | + | 0.889964i | ||||
\(10\) | −2.93350 | − | 2.49206i | −0.927654 | − | 0.788057i | ||||
\(11\) | −3.66270 | + | 4.06784i | −1.10435 | + | 1.22650i | −0.132426 | + | 0.991193i | \(0.542277\pi\) |
−0.971921 | + | 0.235308i | \(0.924390\pi\) | |||||||
\(12\) | 0.716464 | − | 1.50654i | 0.206825 | − | 0.434900i | ||||
\(13\) | 1.55472 | + | 1.72669i | 0.431201 | + | 0.478898i | 0.919112 | − | 0.393996i | \(-0.128908\pi\) |
−0.487911 | + | 0.872893i | \(0.662241\pi\) | |||||||
\(14\) | −7.12222 | − | 1.51387i | −1.90349 | − | 0.404600i | ||||
\(15\) | 1.92376 | − | 3.36142i | 0.496714 | − | 0.867914i | ||||
\(16\) | 4.88941 | − | 1.03928i | 1.22235 | − | 0.259819i | ||||
\(17\) | −1.13466 | − | 0.824379i | −0.275195 | − | 0.199941i | 0.441624 | − | 0.897200i | \(-0.354403\pi\) |
−0.716819 | + | 0.697259i | \(0.754403\pi\) | |||||||
\(18\) | 4.99123 | + | 1.32515i | 1.17644 | + | 0.312340i | ||||
\(19\) | 4.74872 | + | 3.45015i | 1.08943 | + | 0.791518i | 0.979303 | − | 0.202400i | \(-0.0648740\pi\) |
0.110128 | + | 0.993917i | \(0.464874\pi\) | |||||||
\(20\) | −2.13449 | + | 0.286757i | −0.477288 | + | 0.0641208i | ||||
\(21\) | 0.183394 | − | 7.32417i | 0.0400198 | − | 1.59827i | ||||
\(22\) | 0.984923 | + | 9.37092i | 0.209986 | + | 1.99789i | ||||
\(23\) | −3.41812 | − | 0.726543i | −0.712727 | − | 0.151495i | −0.162741 | − | 0.986669i | \(-0.552034\pi\) |
−0.549986 | + | 0.835174i | \(0.685367\pi\) | |||||||
\(24\) | 1.18629 | + | 2.85471i | 0.242151 | + | 0.582715i | ||||
\(25\) | −4.99169 | + | 0.288088i | −0.998339 | + | 0.0576177i | ||||
\(26\) | 3.99961 | 0.784388 | ||||||||
\(27\) | −0.389879 | + | 5.18150i | −0.0750323 | + | 0.997181i | ||||
\(28\) | −3.29599 | + | 2.39468i | −0.622884 | + | 0.452552i | ||||
\(29\) | −3.94221 | − | 1.75518i | −0.732050 | − | 0.325929i | 0.00663753 | − | 0.999978i | \(-0.497887\pi\) |
−0.738687 | + | 0.674049i | \(0.764554\pi\) | |||||||
\(30\) | −2.08420 | − | 6.33272i | −0.380521 | − | 1.15619i | ||||
\(31\) | −2.89216 | + | 1.28767i | −0.519448 | + | 0.231273i | −0.649676 | − | 0.760211i | \(-0.725096\pi\) |
0.130229 | + | 0.991484i | \(0.458429\pi\) | |||||||
\(32\) | 2.51747 | − | 4.36039i | 0.445030 | − | 0.770815i | ||||
\(33\) | −9.08742 | + | 2.70315i | −1.58192 | + | 0.470557i | ||||
\(34\) | −2.36151 | + | 0.501954i | −0.404995 | + | 0.0860844i | ||||
\(35\) | −8.05154 | + | 4.96333i | −1.36096 | + | 0.838956i | ||||
\(36\) | 2.41969 | − | 1.57926i | 0.403281 | − | 0.263209i | ||||
\(37\) | 0.930443 | − | 2.86361i | 0.152964 | − | 0.470775i | −0.844985 | − | 0.534790i | \(-0.820391\pi\) |
0.997949 | + | 0.0640154i | \(0.0203907\pi\) | |||||||
\(38\) | 9.88326 | − | 2.10075i | 1.60328 | − | 0.340787i | ||||
\(39\) | 0.737922 | + | 3.95617i | 0.118162 | + | 0.633495i | ||||
\(40\) | 2.25180 | − | 3.29502i | 0.356041 | − | 0.520989i | ||||
\(41\) | 3.09385 | + | 3.43607i | 0.483178 | + | 0.536624i | 0.934606 | − | 0.355684i | \(-0.115752\pi\) |
−0.451428 | + | 0.892308i | \(0.649085\pi\) | |||||||
\(42\) | −9.15810 | − | 8.67079i | −1.41313 | − | 1.33793i | ||||
\(43\) | −2.17619 | − | 3.76927i | −0.331866 | − | 0.574809i | 0.651012 | − | 0.759068i | \(-0.274345\pi\) |
−0.982878 | + | 0.184259i | \(0.941011\pi\) | |||||||
\(44\) | 4.26523 | + | 3.09887i | 0.643008 | + | 0.467173i | ||||
\(45\) | 5.87941 | − | 3.22994i | 0.876451 | − | 0.481491i | ||||
\(46\) | −4.86650 | + | 3.53572i | −0.717527 | + | 0.521314i | ||||
\(47\) | −2.62209 | − | 1.16743i | −0.382471 | − | 0.170287i | 0.206489 | − | 0.978449i | \(-0.433796\pi\) |
−0.588961 | + | 0.808162i | \(0.700463\pi\) | |||||||
\(48\) | 8.16460 | + | 2.88072i | 1.17846 | + | 0.415795i | ||||
\(49\) | −5.44619 | + | 9.43308i | −0.778027 | + | 1.34758i | ||||
\(50\) | −5.38104 | + | 6.71738i | −0.760994 | + | 0.949981i | ||||
\(51\) | −0.932197 | − | 2.24325i | −0.130534 | − | 0.314118i | ||||
\(52\) | 1.49743 | − | 1.66306i | 0.207656 | − | 0.230625i | ||||
\(53\) | 4.61926 | − | 3.35609i | 0.634504 | − | 0.460994i | −0.223454 | − | 0.974715i | \(-0.571733\pi\) |
0.857958 | + | 0.513720i | \(0.171733\pi\) | |||||||
\(54\) | 6.17929 | + | 6.46695i | 0.840895 | + | 0.880041i | ||||
\(55\) | 9.32824 | + | 7.92450i | 1.25782 | + | 1.06854i | ||||
\(56\) | 0.789153 | − | 7.50829i | 0.105455 | − | 1.00334i | ||||
\(57\) | 3.90138 | + | 9.38833i | 0.516750 | + | 1.24351i | ||||
\(58\) | −6.78604 | + | 3.02134i | −0.891051 | + | 0.396721i | ||||
\(59\) | −7.75922 | − | 8.61749i | −1.01016 | − | 1.12190i | −0.992523 | − | 0.122057i | \(-0.961051\pi\) |
−0.0176411 | − | 0.999844i | \(-0.505616\pi\) | |||||||
\(60\) | −3.41350 | − | 1.50431i | −0.440680 | − | 0.194205i | ||||
\(61\) | 7.25373 | − | 8.05609i | 0.928745 | − | 1.03148i | −0.0706774 | − | 0.997499i | \(-0.522516\pi\) |
0.999423 | − | 0.0339768i | \(-0.0108172\pi\) | |||||||
\(62\) | −1.68404 | + | 5.18293i | −0.213873 | + | 0.658233i | ||||
\(63\) | 6.88697 | − | 10.6584i | 0.867676 | − | 1.34283i | ||||
\(64\) | 0.411065 | + | 1.26513i | 0.0513831 | + | 0.158141i | ||||
\(65\) | 3.75920 | − | 3.58629i | 0.466271 | − | 0.444824i | ||||
\(66\) | −7.00919 | + | 14.7385i | −0.862772 | + | 1.81419i | ||||
\(67\) | 10.3055 | − | 4.58831i | 1.25902 | − | 0.560551i | 0.334754 | − | 0.942305i | \(-0.391347\pi\) |
0.924264 | + | 0.381754i | \(0.124680\pi\) | |||||||
\(68\) | −0.675418 | + | 1.16986i | −0.0819064 | + | 0.141866i | ||||
\(69\) | −4.39518 | − | 4.16131i | −0.529118 | − | 0.500963i | ||||
\(70\) | −2.92473 | + | 16.0167i | −0.349572 | + | 1.91436i | ||||
\(71\) | −5.34318 | + | 3.88205i | −0.634119 | + | 0.460714i | −0.857825 | − | 0.513942i | \(-0.828184\pi\) |
0.223706 | + | 0.974657i | \(0.428184\pi\) | |||||||
\(72\) | −0.825499 | + | 5.29042i | −0.0972860 | + | 0.623482i | ||||
\(73\) | 1.20170 | + | 3.69845i | 0.140648 | + | 0.432871i | 0.996426 | − | 0.0844731i | \(-0.0269207\pi\) |
−0.855777 | + | 0.517344i | \(0.826921\pi\) | |||||||
\(74\) | −2.59152 | − | 4.48864i | −0.301258 | − | 0.521794i | ||||
\(75\) | −7.63721 | − | 4.08325i | −0.881870 | − | 0.471493i | ||||
\(76\) | 2.82672 | − | 4.89603i | 0.324247 | − | 0.561613i | ||||
\(77\) | 22.6480 | + | 4.81398i | 2.58098 | + | 0.548603i | ||||
\(78\) | 5.91083 | + | 3.61286i | 0.669270 | + | 0.409075i | ||||
\(79\) | −2.62186 | − | 1.16733i | −0.294983 | − | 0.131335i | 0.253909 | − | 0.967228i | \(-0.418284\pi\) |
−0.548892 | + | 0.835893i | \(0.684950\pi\) | |||||||
\(80\) | −2.63803 | − | 10.8615i | −0.294940 | − | 1.21436i | ||||
\(81\) | −5.25665 | + | 7.30532i | −0.584072 | + | 0.811702i | ||||
\(82\) | 7.95913 | 0.878938 | ||||||||
\(83\) | −0.713599 | + | 6.78944i | −0.0783276 | + | 0.745237i | 0.882915 | + | 0.469533i | \(0.155578\pi\) |
−0.961242 | + | 0.275704i | \(0.911089\pi\) | |||||||
\(84\) | −7.03410 | + | 0.561705i | −0.767484 | + | 0.0612870i | ||||
\(85\) | −1.76948 | + | 2.58925i | −0.191927 | + | 0.280844i | ||||
\(86\) | −7.32838 | − | 1.55770i | −0.790240 | − | 0.167971i | ||||
\(87\) | −4.24054 | − | 6.15490i | −0.454633 | − | 0.659875i | ||||
\(88\) | −9.55625 | + | 2.03124i | −1.01870 | + | 0.216531i | ||||
\(89\) | −1.41471 | − | 4.35403i | −0.149959 | − | 0.461526i | 0.847656 | − | 0.530545i | \(-0.178013\pi\) |
−0.997615 | + | 0.0690197i | \(0.978013\pi\) | |||||||
\(90\) | 2.64022 | − | 11.2415i | 0.278304 | − | 1.18496i | ||||
\(91\) | 3.03709 | − | 9.34720i | 0.318373 | − | 0.979852i | ||||
\(92\) | −0.351813 | + | 3.34727i | −0.0366790 | + | 0.348977i | ||||
\(93\) | −5.43734 | − | 0.709504i | −0.563826 | − | 0.0735721i | ||||
\(94\) | −4.51362 | + | 2.00959i | −0.465544 | + | 0.207274i | ||||
\(95\) | 7.40552 | − | 10.8364i | 0.759791 | − | 1.11179i | ||||
\(96\) | 7.65919 | − | 4.16997i | 0.781713 | − | 0.425596i | ||||
\(97\) | 12.6316 | + | 5.62394i | 1.28254 | + | 0.571024i | 0.930956 | − | 0.365132i | \(-0.118976\pi\) |
0.351585 | + | 0.936156i | \(0.385643\pi\) | |||||||
\(98\) | 5.79405 | + | 17.8322i | 0.585287 | + | 1.80133i | ||||
\(99\) | −15.8716 | − | 4.21384i | −1.59516 | − | 0.423506i | ||||
\(100\) | 0.778500 | + | 4.75241i | 0.0778500 | + | 0.475241i | ||||
\(101\) | −4.29330 | − | 7.43621i | −0.427199 | − | 0.739930i | 0.569424 | − | 0.822044i | \(-0.307166\pi\) |
−0.996623 | + | 0.0821135i | \(0.973833\pi\) | |||||||
\(102\) | −3.94337 | − | 1.39134i | −0.390452 | − | 0.137763i | ||||
\(103\) | −0.00184111 | − | 0.0175170i | −0.000181410 | − | 0.00172600i | 0.994431 | − | 0.105391i | \(-0.0336095\pi\) |
−0.994612 | + | 0.103665i | \(0.966943\pi\) | |||||||
\(104\) | 0.433479 | + | 4.12428i | 0.0425061 | + | 0.404419i | ||||
\(105\) | −16.3824 | + | 0.0620974i | −1.59876 | + | 0.00606009i | ||||
\(106\) | 1.02737 | − | 9.77475i | 0.0997868 | − | 0.949408i | ||||
\(107\) | 3.33334 | 0.322246 | 0.161123 | − | 0.986934i | \(-0.448488\pi\) | ||||
0.161123 | + | 0.986934i | \(0.448488\pi\) | |||||||
\(108\) | 5.00248 | − | 0.148201i | 0.481364 | − | 0.0142607i | ||||
\(109\) | 0.885216 | − | 2.72442i | 0.0847883 | − | 0.260952i | −0.899670 | − | 0.436571i | \(-0.856193\pi\) |
0.984458 | + | 0.175619i | \(0.0561928\pi\) | |||||||
\(110\) | 20.8818 | − | 2.80535i | 1.99100 | − | 0.267480i | ||||
\(111\) | 3.96176 | − | 3.39152i | 0.376034 | − | 0.321909i | ||||
\(112\) | −14.1481 | − | 15.7130i | −1.33687 | − | 1.48474i | ||||
\(113\) | −5.38746 | − | 5.98339i | −0.506810 | − | 0.562870i | 0.434388 | − | 0.900726i | \(-0.356965\pi\) |
−0.941198 | + | 0.337856i | \(0.890298\pi\) | |||||||
\(114\) | 16.5036 | + | 5.82296i | 1.54570 | + | 0.545370i | ||||
\(115\) | −1.40364 | + | 7.68679i | −0.130890 | + | 0.716797i | ||||
\(116\) | −1.28436 | + | 3.95285i | −0.119250 | + | 0.367013i | ||||
\(117\) | −2.48308 | + | 6.51320i | −0.229561 | + | 0.602146i | ||||
\(118\) | −19.9611 | −1.83757 | ||||||||
\(119\) | −0.620121 | + | 5.90006i | −0.0568464 | + | 0.540858i | ||||
\(120\) | 6.30422 | − | 2.83550i | 0.575494 | − | 0.258845i | ||||
\(121\) | −1.98215 | − | 18.8589i | −0.180195 | − | 1.71444i | ||||
\(122\) | −1.95057 | − | 18.5585i | −0.176597 | − | 1.68020i | ||||
\(123\) | 1.46845 | + | 7.87268i | 0.132405 | + | 0.709856i | ||||
\(124\) | 1.52460 | + | 2.64069i | 0.136913 | + | 0.237141i | ||||
\(125\) | 0.965608 | + | 11.1386i | 0.0863666 | + | 0.996263i | ||||
\(126\) | −5.70197 | − | 21.0867i | −0.507972 | − | 1.87855i | ||||
\(127\) | −1.46943 | − | 4.52243i | −0.130391 | − | 0.401301i | 0.864454 | − | 0.502712i | \(-0.167664\pi\) |
−0.994845 | + | 0.101411i | \(0.967664\pi\) | |||||||
\(128\) | 11.2912 | + | 5.02715i | 0.998008 | + | 0.444342i | ||||
\(129\) | 0.188702 | − | 7.53618i | 0.0166143 | − | 0.663524i | ||||
\(130\) | −0.257756 | − | 8.93969i | −0.0226067 | − | 0.784063i | ||||
\(131\) | −16.8235 | + | 7.49029i | −1.46987 | + | 0.654430i | −0.976525 | − | 0.215402i | \(-0.930894\pi\) |
−0.493348 | + | 0.869832i | \(0.664227\pi\) | |||||||
\(132\) | 3.50417 | + | 8.43247i | 0.304999 | + | 0.733952i | ||||
\(133\) | 2.59530 | − | 24.6926i | 0.225041 | − | 2.14112i | ||||
\(134\) | 6.00065 | − | 18.4681i | 0.518377 | − | 1.59540i | ||||
\(135\) | 11.6065 | + | 0.537511i | 0.998929 | + | 0.0462616i | ||||
\(136\) | −0.773540 | − | 2.38071i | −0.0663305 | − | 0.204144i | ||||
\(137\) | 16.2046 | − | 3.44439i | 1.38445 | − | 0.294274i | 0.545330 | − | 0.838221i | \(-0.316404\pi\) |
0.839119 | + | 0.543947i | \(0.183071\pi\) | |||||||
\(138\) | −10.3858 | + | 0.829353i | −0.884098 | + | 0.0705992i | ||||
\(139\) | 10.5782 | + | 2.24847i | 0.897232 | + | 0.190712i | 0.633371 | − | 0.773848i | \(-0.281671\pi\) |
0.263861 | + | 0.964561i | \(0.415004\pi\) | |||||||
\(140\) | 5.56485 | + | 7.21267i | 0.470316 | + | 0.609582i | ||||
\(141\) | −2.82052 | − | 4.09383i | −0.237531 | − | 0.344763i | ||||
\(142\) | −1.18838 | + | 11.3066i | −0.0997262 | + | 0.948832i | ||||
\(143\) | −12.7184 | −1.06356 | ||||||||
\(144\) | 9.46392 | + | 11.6324i | 0.788660 | + | 0.969364i | ||||
\(145\) | −3.66902 | + | 8.92450i | −0.304696 | + | 0.741139i | ||||
\(146\) | 6.11534 | + | 2.72273i | 0.506109 | + | 0.225334i | ||||
\(147\) | −16.5696 | + | 9.02114i | −1.36664 | + | 0.744051i | ||||
\(148\) | −2.83665 | − | 0.602949i | −0.233172 | − | 0.0495621i | ||||
\(149\) | −4.92744 | + | 8.53458i | −0.403672 | + | 0.699180i | −0.994166 | − | 0.107862i | \(-0.965600\pi\) |
0.590494 | + | 0.807042i | \(0.298933\pi\) | |||||||
\(150\) | −14.0202 | + | 5.06659i | −1.14474 | + | 0.413685i | ||||
\(151\) | 9.07209 | + | 15.7133i | 0.738276 | + | 1.27873i | 0.953271 | + | 0.302117i | \(0.0976934\pi\) |
−0.214994 | + | 0.976615i | \(0.568973\pi\) | |||||||
\(152\) | 3.23738 | + | 9.96363i | 0.262586 | + | 0.808157i | ||||
\(153\) | 0.648682 | − | 4.15725i | 0.0524429 | − | 0.336093i | ||||
\(154\) | 32.2448 | − | 23.4272i | 2.59836 | − | 1.88782i | ||||
\(155\) | 3.06452 | + | 6.38140i | 0.246148 | + | 0.512566i | ||||
\(156\) | 3.71523 | − | 1.10513i | 0.297456 | − | 0.0884813i | ||||
\(157\) | −1.33107 | + | 2.30547i | −0.106231 | + | 0.183997i | −0.914240 | − | 0.405172i | \(-0.867212\pi\) |
0.808010 | + | 0.589169i | \(0.200545\pi\) | |||||||
\(158\) | −4.51323 | + | 2.00942i | −0.359053 | + | 0.159861i | ||||
\(159\) | 9.85814 | − | 0.787217i | 0.781801 | − | 0.0624304i | ||||
\(160\) | −9.90831 | − | 5.34589i | −0.783321 | − | 0.422630i | ||||
\(161\) | 4.56772 | + | 14.0580i | 0.359986 | + | 1.10792i | ||||
\(162\) | 3.29047 | + | 15.1390i | 0.258523 | + | 1.18943i | ||||
\(163\) | 1.19215 | − | 3.66905i | 0.0933761 | − | 0.287382i | −0.893451 | − | 0.449161i | \(-0.851723\pi\) |
0.986827 | + | 0.161779i | \(0.0517230\pi\) | |||||||
\(164\) | 2.97985 | − | 3.30945i | 0.232687 | − | 0.258425i | ||||
\(165\) | 6.62755 | + | 20.1375i | 0.515954 | + | 1.56770i | ||||
\(166\) | 7.86334 | + | 8.73313i | 0.610314 | + | 0.677822i | ||||
\(167\) | −9.60407 | + | 4.27601i | −0.743186 | + | 0.330888i | −0.743161 | − | 0.669112i | \(-0.766674\pi\) |
−2.44112e−5 | 1.00000i | \(0.500008\pi\) | ||||||||
\(168\) | 7.94850 | − | 10.3833i | 0.613240 | − | 0.801089i | ||||
\(169\) | 0.794562 | − | 7.55975i | 0.0611201 | − | 0.581519i | ||||
\(170\) | 1.27412 | + | 5.24595i | 0.0977209 | + | 0.402346i | ||||
\(171\) | −2.71483 | + | 17.3987i | −0.207608 | + | 1.33051i | ||||
\(172\) | −3.39140 | + | 2.46399i | −0.258592 | + | 0.187878i | ||||
\(173\) | 4.11360 | − | 4.56862i | 0.312751 | − | 0.347346i | −0.566191 | − | 0.824274i | \(-0.691583\pi\) |
0.878942 | + | 0.476929i | \(0.158250\pi\) | |||||||
\(174\) | −12.7579 | − | 1.66475i | −0.967177 | − | 0.126204i | ||||
\(175\) | 11.6126 | + | 17.6764i | 0.877831 | + | 1.33621i | ||||
\(176\) | −13.6808 | + | 23.6959i | −1.03123 | + | 1.78615i | ||||
\(177\) | −3.68279 | − | 19.7443i | −0.276815 | − | 1.48407i | ||||
\(178\) | −7.19932 | − | 3.20534i | −0.539612 | − | 0.240251i | ||||
\(179\) | 5.82725 | − | 4.23375i | 0.435549 | − | 0.316445i | −0.348315 | − | 0.937378i | \(-0.613246\pi\) |
0.783864 | + | 0.620933i | \(0.213246\pi\) | |||||||
\(180\) | −3.68580 | − | 5.30656i | −0.274723 | − | 0.395528i | ||||
\(181\) | −18.3734 | − | 13.3490i | −1.36568 | − | 0.992226i | −0.998061 | − | 0.0622510i | \(-0.980172\pi\) |
−0.367622 | − | 0.929975i | \(-0.619828\pi\) | |||||||
\(182\) | −8.45906 | − | 14.6515i | −0.627027 | − | 1.08604i | ||||
\(183\) | 17.9970 | − | 5.35339i | 1.33038 | − | 0.395734i | ||||
\(184\) | −4.17336 | − | 4.63499i | −0.307664 | − | 0.341696i | ||||
\(185\) | −6.46053 | − | 1.89512i | −0.474988 | − | 0.139332i | ||||
\(186\) | −7.17051 | + | 6.13841i | −0.525767 | + | 0.450090i | ||||
\(187\) | 7.50937 | − | 1.59617i | 0.549139 | − | 0.116723i | ||||
\(188\) | −0.854269 | + | 2.62917i | −0.0623039 | + | 0.191752i | ||||
\(189\) | 19.8057 | − | 9.53050i | 1.44065 | − | 0.693242i | ||||
\(190\) | −5.33240 | − | 21.9551i | −0.386853 | − | 1.59279i | ||||
\(191\) | 10.4971 | − | 2.23123i | 0.759545 | − | 0.161446i | 0.188171 | − | 0.982136i | \(-0.439744\pi\) |
0.571374 | + | 0.820690i | \(0.306411\pi\) | |||||||
\(192\) | −0.535299 | + | 2.24099i | −0.0386319 | + | 0.161729i | ||||
\(193\) | 7.49531 | − | 12.9823i | 0.539524 | − | 0.934483i | −0.459405 | − | 0.888227i | \(-0.651937\pi\) |
0.998930 | − | 0.0462566i | \(-0.0147292\pi\) | |||||||
\(194\) | 21.7437 | − | 9.68093i | 1.56111 | − | 0.695050i | ||||
\(195\) | 8.79504 | − | 1.90432i | 0.629826 | − | 0.136371i | ||||
\(196\) | 9.58401 | + | 4.26708i | 0.684572 | + | 0.304791i | ||||
\(197\) | 6.42527 | − | 4.66823i | 0.457782 | − | 0.332598i | −0.334879 | − | 0.942261i | \(-0.608695\pi\) |
0.792660 | + | 0.609663i | \(0.208695\pi\) | |||||||
\(198\) | −23.6719 | + | 15.4499i | −1.68229 | + | 1.09798i | ||||
\(199\) | −14.1116 | −1.00034 | −0.500172 | − | 0.865926i | \(-0.666730\pi\) | ||||
−0.500172 | + | 0.865926i | \(0.666730\pi\) | |||||||
\(200\) | −7.50995 | − | 4.82073i | −0.531034 | − | 0.340877i | ||||
\(201\) | 19.3746 | + | 2.52814i | 1.36658 | + | 0.178321i | ||||
\(202\) | −14.4578 | − | 3.07310i | −1.01725 | − | 0.216223i | ||||
\(203\) | 1.90800 | + | 18.1534i | 0.133915 | + | 1.27412i | ||||
\(204\) | −2.05490 | + | 1.11877i | −0.143872 | + | 0.0783296i | ||||
\(205\) | 7.48071 | − | 7.13663i | 0.522475 | − | 0.498444i | ||||
\(206\) | −0.0245290 | − | 0.0178214i | −0.00170902 | − | 0.00124167i | ||||
\(207\) | −2.73651 | − | 10.1200i | −0.190201 | − | 0.703387i | ||||
\(208\) | 9.39616 | + | 6.82671i | 0.651507 | + | 0.473347i | ||||
\(209\) | −31.4278 | + | 6.68019i | −2.17391 | + | 0.462078i | ||||
\(210\) | −18.7902 | + | 21.0284i | −1.29665 | + | 1.45110i | ||||
\(211\) | −7.16213 | − | 1.52236i | −0.493062 | − | 0.104803i | −0.0453311 | − | 0.998972i | \(-0.514434\pi\) |
−0.447731 | + | 0.894169i | \(0.647768\pi\) | |||||||
\(212\) | −3.67976 | − | 4.08679i | −0.252727 | − | 0.280682i | ||||
\(213\) | −11.4031 | + | 0.910588i | −0.781327 | + | 0.0623925i | ||||
\(214\) | 3.83943 | − | 4.26412i | 0.262458 | − | 0.291489i | ||||
\(215\) | −8.28460 | + | 5.10700i | −0.565005 | + | 0.348294i | ||||
\(216\) | −5.99881 | + | 7.07278i | −0.408167 | + | 0.481242i | ||||
\(217\) | 10.8339 | + | 7.87128i | 0.735452 | + | 0.534337i | ||||
\(218\) | −2.46555 | − | 4.27046i | −0.166988 | − | 0.289232i | ||||
\(219\) | −1.56488 | + | 6.55126i | −0.105745 | + | 0.442693i | ||||
\(220\) | 6.65154 | − | 9.73310i | 0.448447 | − | 0.656205i | ||||
\(221\) | −0.340631 | − | 3.24088i | −0.0229133 | − | 0.218005i | ||||
\(222\) | 0.224717 | − | 8.97447i | 0.0150820 | − | 0.602327i | ||||
\(223\) | −13.6107 | + | 15.1162i | −0.911441 | + | 1.01226i | 0.0884282 | + | 0.996083i | \(0.471816\pi\) |
−0.999869 | + | 0.0161752i | \(0.994851\pi\) | |||||||
\(224\) | −21.2975 | −1.42300 | ||||||||
\(225\) | −7.59826 | − | 12.9332i | −0.506551 | − | 0.862210i | ||||
\(226\) | −13.8596 | −0.921926 | ||||||||
\(227\) | −14.5630 | + | 16.1739i | −0.966582 | + | 1.07350i | 0.0306788 | + | 0.999529i | \(0.490233\pi\) |
−0.997261 | + | 0.0739685i | \(0.976434\pi\) | |||||||
\(228\) | 8.60006 | − | 4.68222i | 0.569553 | − | 0.310088i | ||||
\(229\) | 1.96308 | + | 18.6775i | 0.129724 | + | 1.23424i | 0.844756 | + | 0.535151i | \(0.179745\pi\) |
−0.715032 | + | 0.699092i | \(0.753588\pi\) | |||||||
\(230\) | 8.21646 | + | 10.6495i | 0.541777 | + | 0.702204i | ||||
\(231\) | 29.1219 | + | 27.5723i | 1.91608 | + | 1.81412i | ||||
\(232\) | −3.85098 | − | 6.67010i | −0.252830 | − | 0.437914i | ||||
\(233\) | −5.17867 | − | 3.76252i | −0.339266 | − | 0.246491i | 0.405086 | − | 0.914279i | \(-0.367242\pi\) |
−0.744352 | + | 0.667787i | \(0.767242\pi\) | |||||||
\(234\) | 5.47184 | + | 10.6785i | 0.357705 | + | 0.698077i | ||||
\(235\) | −2.44039 | + | 5.93598i | −0.159193 | + | 0.387220i | ||||
\(236\) | −7.47330 | + | 8.29994i | −0.486470 | + | 0.540280i | ||||
\(237\) | −2.82028 | − | 4.09347i | −0.183197 | − | 0.265900i | ||||
\(238\) | 6.83329 | + | 7.58914i | 0.442937 | + | 0.491931i | ||||
\(239\) | 17.2033 | + | 3.65668i | 1.11279 | + | 0.236531i | 0.727394 | − | 0.686220i | \(-0.240731\pi\) |
0.385397 | + | 0.922751i | \(0.374064\pi\) | |||||||
\(240\) | 5.91263 | − | 18.4347i | 0.381659 | − | 1.18995i | ||||
\(241\) | −7.43150 | + | 1.57961i | −0.478705 | + | 0.101752i | −0.440943 | − | 0.897535i | \(-0.645356\pi\) |
−0.0377616 | + | 0.999287i | \(0.512023\pi\) | |||||||
\(242\) | −26.4080 | − | 19.1866i | −1.69757 | − | 1.23336i | ||||
\(243\) | −14.3674 | + | 6.04784i | −0.921672 | + | 0.387969i | ||||
\(244\) | −8.44700 | − | 6.13711i | −0.540764 | − | 0.392888i | ||||
\(245\) | 21.4352 | + | 11.5651i | 1.36945 | + | 0.738866i | ||||
\(246\) | 11.7624 | + | 7.18949i | 0.749944 | + | 0.458385i | ||||
\(247\) | 1.42559 | + | 13.5636i | 0.0907080 | + | 0.863029i | ||||
\(248\) | −5.52700 | − | 1.17480i | −0.350965 | − | 0.0745998i | ||||
\(249\) | −7.18750 | + | 9.38919i | −0.455489 | + | 0.595016i | ||||
\(250\) | 15.3611 | + | 11.5945i | 0.971518 | + | 0.733299i | ||||
\(251\) | 25.9812 | 1.63992 | 0.819959 | − | 0.572422i | \(-0.193996\pi\) | ||||
0.819959 | + | 0.572422i | \(0.193996\pi\) | |||||||
\(252\) | −10.9028 | − | 5.52380i | −0.686809 | − | 0.347967i | ||||
\(253\) | 15.4750 | − | 11.2433i | 0.972906 | − | 0.706858i | ||||
\(254\) | −7.47778 | − | 3.32932i | −0.469197 | − | 0.208900i | ||||
\(255\) | −4.95390 | + | 2.22816i | −0.310225 | + | 0.139533i | ||||
\(256\) | 17.0059 | − | 7.57153i | 1.06287 | − | 0.473221i | ||||
\(257\) | 0.478674 | − | 0.829088i | 0.0298589 | − | 0.0517171i | −0.850710 | − | 0.525636i | \(-0.823828\pi\) |
0.880569 | + | 0.473919i | \(0.157161\pi\) | |||||||
\(258\) | −9.42319 | − | 8.92178i | −0.586662 | − | 0.555446i | ||||
\(259\) | −12.4579 | + | 2.64802i | −0.774099 | + | 0.164540i | ||||
\(260\) | −3.81368 | − | 3.23978i | −0.236514 | − | 0.200923i | ||||
\(261\) | −0.707153 | − | 12.9265i | −0.0437717 | − | 0.800132i | ||||
\(262\) | −9.79591 | + | 30.1487i | −0.605193 | + | 1.86259i | ||||
\(263\) | 5.16771 | − | 1.09843i | 0.318655 | − | 0.0677322i | −0.0458076 | − | 0.998950i | \(-0.514586\pi\) |
0.364462 | + | 0.931218i | \(0.381253\pi\) | |||||||
\(264\) | −15.9576 | − | 5.63030i | −0.982120 | − | 0.346521i | ||||
\(265\) | −7.79901 | − | 10.1084i | −0.479089 | − | 0.620954i | ||||
\(266\) | −28.5983 | − | 31.7617i | −1.75348 | − | 1.94743i | ||||
\(267\) | 1.84227 | − | 7.71251i | 0.112745 | − | 0.471998i | ||||
\(268\) | −5.43255 | − | 9.40945i | −0.331846 | − | 0.574774i | ||||
\(269\) | 14.1657 | + | 10.2920i | 0.863699 | + | 0.627514i | 0.928889 | − | 0.370359i | \(-0.120765\pi\) |
−0.0651897 | + | 0.997873i | \(0.520765\pi\) | |||||||
\(270\) | 14.0563 | − | 14.2283i | 0.855440 | − | 0.865909i | ||||
\(271\) | −10.8922 | + | 7.91361i | −0.661651 | + | 0.480718i | −0.867220 | − | 0.497925i | \(-0.834096\pi\) |
0.205569 | + | 0.978643i | \(0.434096\pi\) | |||||||
\(272\) | −6.40457 | − | 2.85150i | −0.388334 | − | 0.172898i | ||||
\(273\) | 12.9317 | − | 11.0704i | 0.782662 | − | 0.670009i | ||||
\(274\) | 14.2587 | − | 24.6968i | 0.861400 | − | 1.49199i | ||||
\(275\) | 17.1112 | − | 21.3606i | 1.03184 | − | 1.28809i | ||||
\(276\) | −3.54353 | + | 4.62898i | −0.213295 | + | 0.278632i | ||||
\(277\) | −17.6458 | + | 19.5977i | −1.06024 | + | 1.17751i | −0.0766522 | + | 0.997058i | \(0.524423\pi\) |
−0.983584 | + | 0.180453i | \(0.942244\pi\) | |||||||
\(278\) | 15.0606 | − | 10.9422i | 0.903274 | − | 0.656267i | ||||
\(279\) | −7.39469 | − | 5.96010i | −0.442709 | − | 0.356822i | ||||
\(280\) | −16.8329 | − | 1.27999i | −1.00596 | − | 0.0764942i | ||||
\(281\) | −2.62432 | + | 24.9688i | −0.156554 | + | 1.48951i | 0.580823 | + | 0.814030i | \(0.302731\pi\) |
−0.737377 | + | 0.675482i | \(0.763936\pi\) | |||||||
\(282\) | −8.48573 | − | 1.10728i | −0.505318 | − | 0.0659375i | ||||
\(283\) | −13.1704 | + | 5.86384i | −0.782899 | + | 0.348569i | −0.758954 | − | 0.651144i | \(-0.774289\pi\) |
−0.0239447 | + | 0.999713i | \(0.507623\pi\) | |||||||
\(284\) | 4.25645 | + | 4.72726i | 0.252574 | + | 0.280512i | ||||
\(285\) | 20.7328 | − | 9.32516i | 1.22810 | − | 0.552375i | ||||
\(286\) | −14.6494 | + | 16.2698i | −0.866237 | + | 0.962053i | ||||
\(287\) | 6.04373 | − | 18.6007i | 0.356750 | − | 1.09796i | ||||
\(288\) | 15.0859 | + | 0.755962i | 0.888945 | + | 0.0445455i | ||||
\(289\) | −4.64544 | − | 14.2972i | −0.273261 | − | 0.841011i | ||||
\(290\) | 7.19044 | + | 14.9730i | 0.422237 | + | 0.879247i | ||||
\(291\) | 13.5875 | + | 19.7215i | 0.796512 | + | 1.15609i | ||||
\(292\) | 3.42167 | − | 1.52343i | 0.200238 | − | 0.0891518i | ||||
\(293\) | 3.34662 | − | 5.79652i | 0.195512 | − | 0.338636i | −0.751556 | − | 0.659669i | \(-0.770697\pi\) |
0.947068 | + | 0.321033i | \(0.104030\pi\) | |||||||
\(294\) | −7.54515 | + | 31.5872i | −0.440042 | + | 1.84220i | ||||
\(295\) | −18.7612 | + | 17.8983i | −1.09232 | + | 1.04208i | ||||
\(296\) | 4.34768 | − | 3.15878i | 0.252704 | − | 0.183600i | ||||
\(297\) | −19.6495 | − | 20.5643i | −1.14018 | − | 1.19326i | ||||
\(298\) | 5.24217 | + | 16.1337i | 0.303671 | + | 0.934602i | ||||
\(299\) | −4.05970 | − | 7.03160i | −0.234778 | − | 0.406648i | ||||
\(300\) | −3.14235 | + | 7.72658i | −0.181424 | + | 0.446094i | ||||
\(301\) | −9.20515 | + | 15.9438i | −0.530576 | + | 0.918985i | ||||
\(302\) | 30.5505 | + | 6.49372i | 1.75799 | + | 0.373671i | ||||
\(303\) | 0.372282 | − | 14.8678i | 0.0213870 | − | 0.854130i | ||||
\(304\) | 26.8041 | + | 11.9339i | 1.53732 | + | 0.684459i | ||||
\(305\) | −18.4739 | − | 15.6939i | −1.05781 | − | 0.898631i | ||||
\(306\) | −4.57092 | − | 5.61825i | −0.261302 | − | 0.321174i | ||||
\(307\) | 3.26128 | 0.186131 | 0.0930657 | − | 0.995660i | \(-0.470333\pi\) | ||||
0.0930657 | + | 0.995660i | \(0.470333\pi\) | |||||||
\(308\) | 2.33106 | − | 22.1786i | 0.132825 | − | 1.26374i | ||||
\(309\) | 0.0131023 | − | 0.0275506i | 0.000745362 | − | 0.00156730i | ||||
\(310\) | 11.6931 | + | 3.43004i | 0.664124 | + | 0.194813i | ||||
\(311\) | 31.5260 | + | 6.70106i | 1.78768 | + | 0.379982i | 0.978281 | − | 0.207282i | \(-0.0664619\pi\) |
0.809395 | + | 0.587265i | \(0.199795\pi\) | |||||||
\(312\) | −3.08485 | + | 6.48663i | −0.174645 | + | 0.367233i | ||||
\(313\) | 20.0766 | − | 4.26742i | 1.13480 | − | 0.241209i | 0.398042 | − | 0.917367i | \(-0.369690\pi\) |
0.736756 | + | 0.676159i | \(0.236357\pi\) | |||||||
\(314\) | 1.41608 | + | 4.35826i | 0.0799142 | + | 0.245951i | ||||
\(315\) | −24.2668 | − | 14.7064i | −1.36728 | − | 0.828614i | ||||
\(316\) | −0.854194 | + | 2.62894i | −0.0480522 | + | 0.147889i | ||||
\(317\) | 0.418108 | − | 3.97803i | 0.0234833 | − | 0.223428i | −0.976486 | − | 0.215581i | \(-0.930835\pi\) |
0.999969 | − | 0.00784728i | \(-0.00249789\pi\) | |||||||
\(318\) | 10.3478 | − | 13.5176i | 0.580279 | − | 0.758030i | ||||
\(319\) | 21.5790 | − | 9.60757i | 1.20819 | − | 0.537921i | ||||
\(320\) | 2.80125 | − | 1.00032i | 0.156594 | − | 0.0559195i | ||||
\(321\) | 4.92618 | + | 3.01101i | 0.274952 | + | 0.168058i | ||||
\(322\) | 23.2447 | + | 10.3492i | 1.29538 | + | 0.576739i | ||||
\(323\) | −2.54395 | − | 7.82948i | −0.141549 | − | 0.435644i | ||||
\(324\) | 7.52680 | + | 4.29973i | 0.418156 | + | 0.238874i | ||||
\(325\) | −8.25812 | − | 8.17121i | −0.458078 | − | 0.453257i | ||||
\(326\) | −3.32043 | − | 5.75115i | −0.183902 | − | 0.318527i | ||||
\(327\) | 3.76919 | − | 3.22667i | 0.208437 | − | 0.178435i | ||||
\(328\) | 0.862612 | + | 8.20721i | 0.0476298 | + | 0.453167i | ||||
\(329\) | 1.26907 | + | 12.0744i | 0.0699662 | + | 0.665684i | ||||
\(330\) | 33.3943 | + | 14.7167i | 1.83830 | + | 0.810127i | ||||
\(331\) | −0.154084 | + | 1.46601i | −0.00846920 | + | 0.0805791i | −0.997940 | − | 0.0641531i | \(-0.979565\pi\) |
0.989471 | + | 0.144732i | \(0.0462321\pi\) | |||||||
\(332\) | 6.57527 | 0.360865 | ||||||||
\(333\) | 8.91846 | − | 1.43350i | 0.488729 | − | 0.0785554i | ||||
\(334\) | −5.59222 | + | 17.2111i | −0.305993 | + | 0.941749i | ||||
\(335\) | −10.9196 | − | 22.7386i | −0.596604 | − | 1.24234i | ||||
\(336\) | −6.71515 | − | 36.0015i | −0.366341 | − | 1.96404i | ||||
\(337\) | −6.23620 | − | 6.92600i | −0.339707 | − | 0.377283i | 0.548950 | − | 0.835855i | \(-0.315028\pi\) |
−0.888657 | + | 0.458572i | \(0.848361\pi\) | |||||||
\(338\) | −8.75550 | − | 9.72397i | −0.476236 | − | 0.528914i | ||||
\(339\) | −2.55707 | − | 13.7091i | −0.138881 | − | 0.744574i | ||||
\(340\) | 2.65832 | + | 1.43426i | 0.144168 | + | 0.0777837i | ||||
\(341\) | 5.35508 | − | 16.4812i | 0.289994 | − | 0.892509i | ||||
\(342\) | 19.1300 | + | 23.5132i | 1.03443 | + | 1.27145i | ||||
\(343\) | 16.4645 | 0.889001 | ||||||||
\(344\) | 0.811996 | − | 7.72562i | 0.0437799 | − | 0.416538i | ||||
\(345\) | −9.01787 | + | 10.0920i | −0.485506 | + | 0.543336i | ||||
\(346\) | −1.10617 | − | 10.5245i | −0.0594682 | − | 0.565802i | ||||
\(347\) | 0.697927 | + | 6.64033i | 0.0374667 | + | 0.356472i | 0.997153 | + | 0.0753997i | \(0.0240233\pi\) |
−0.959687 | + | 0.281072i | \(0.909310\pi\) | |||||||
\(348\) | −5.46870 | + | 4.68156i | −0.293153 | + | 0.250958i | ||||
\(349\) | 2.17204 | + | 3.76209i | 0.116267 | + | 0.201380i | 0.918285 | − | 0.395919i | \(-0.129574\pi\) |
−0.802019 | + | 0.597299i | \(0.796241\pi\) | |||||||
\(350\) | 35.9881 | + | 5.50497i | 1.92364 | + | 0.294253i | ||||
\(351\) | −9.55301 | + | 7.38258i | −0.509902 | + | 0.394053i | ||||
\(352\) | 8.51663 | + | 26.2115i | 0.453938 | + | 1.39708i | ||||
\(353\) | −4.22662 | − | 1.88181i | −0.224960 | − | 0.100159i | 0.291162 | − | 0.956674i | \(-0.405958\pi\) |
−0.516122 | + | 0.856515i | \(0.672625\pi\) | |||||||
\(354\) | −29.4995 | − | 18.0309i | −1.56788 | − | 0.958330i | ||||
\(355\) | 9.02126 | + | 11.6926i | 0.478799 | + | 0.620577i | ||||
\(356\) | −4.02818 | + | 1.79346i | −0.213493 | + | 0.0950533i | ||||
\(357\) | −6.24598 | + | 8.15926i | −0.330572 | + | 0.431834i | ||||
\(358\) | 1.29604 | − | 12.3310i | 0.0684977 | − | 0.651712i | ||||
\(359\) | −2.78646 | + | 8.57585i | −0.147064 | + | 0.452616i | −0.997271 | − | 0.0738329i | \(-0.976477\pi\) |
0.850207 | + | 0.526449i | \(0.176477\pi\) | |||||||
\(360\) | 11.8780 | + | 1.50416i | 0.626027 | + | 0.0792763i | ||||
\(361\) | 4.77550 | + | 14.6975i | 0.251342 | + | 0.773551i | ||||
\(362\) | −38.2395 | + | 8.12806i | −2.00983 | + | 0.427202i | ||||
\(363\) | 14.1059 | − | 29.6611i | 0.740369 | − | 1.55680i | ||||
\(364\) | −9.25921 | − | 1.96810i | −0.485314 | − | 0.103157i | ||||
\(365\) | 8.18911 | − | 2.92431i | 0.428638 | − | 0.153066i | ||||
\(366\) | 13.8812 | − | 29.1886i | 0.725583 | − | 1.52571i | ||||
\(367\) | 0.967647 | − | 9.20654i | 0.0505107 | − | 0.480578i | −0.939802 | − | 0.341720i | \(-0.888990\pi\) |
0.990312 | − | 0.138857i | \(-0.0443429\pi\) | |||||||
\(368\) | −17.4677 | −0.910565 | ||||||||
\(369\) | −4.94126 | + | 12.9611i | −0.257232 | + | 0.674728i | ||||
\(370\) | −9.86573 | + | 6.08168i | −0.512895 | + | 0.316171i | ||||
\(371\) | −22.0637 | − | 9.82340i | −1.14549 | − | 0.510006i | ||||
\(372\) | −0.132202 | + | 5.27972i | −0.00685435 | + | 0.273741i | ||||
\(373\) | 5.30009 | + | 1.12657i | 0.274428 | + | 0.0583315i | 0.343070 | − | 0.939310i | \(-0.388533\pi\) |
−0.0686418 | + | 0.997641i | \(0.521867\pi\) | |||||||
\(374\) | 6.60763 | − | 11.4448i | 0.341673 | − | 0.591794i | ||||
\(375\) | −8.63446 | + | 17.3334i | −0.445881 | + | 0.895092i | ||||
\(376\) | −2.56142 | − | 4.43650i | −0.132095 | − | 0.228795i | ||||
\(377\) | −3.09837 | − | 9.53579i | −0.159574 | − | 0.491118i | ||||
\(378\) | 10.6210 | − | 36.3136i | 0.546283 | − | 1.86777i | ||||
\(379\) | 7.21488 | − | 5.24191i | 0.370603 | − | 0.269259i | −0.386858 | − | 0.922139i | \(-0.626440\pi\) |
0.757461 | + | 0.652880i | \(0.226440\pi\) | |||||||
\(380\) | −11.1255 | − | 6.00259i | −0.570724 | − | 0.307926i | ||||
\(381\) | 1.91352 | − | 8.01082i | 0.0980328 | − | 0.410407i | ||||
\(382\) | 9.23661 | − | 15.9983i | 0.472586 | − | 0.818543i | ||||
\(383\) | −16.8558 | + | 7.50467i | −0.861290 | + | 0.383471i | −0.789354 | − | 0.613938i | \(-0.789584\pi\) |
−0.0719357 | + | 0.997409i | \(0.522918\pi\) | |||||||
\(384\) | 12.1456 | + | 17.6287i | 0.619805 | + | 0.899612i | ||||
\(385\) | 9.30035 | − | 50.9316i | 0.473990 | − | 2.59572i | ||||
\(386\) | −7.97405 | − | 24.5416i | −0.405868 | − | 1.24913i | ||||
\(387\) | 7.08632 | − | 10.9669i | 0.360218 | − | 0.557479i | ||||
\(388\) | 4.11532 | − | 12.6657i | 0.208924 | − | 0.643001i | ||||
\(389\) | −8.47934 | + | 9.41726i | −0.429920 | + | 0.477474i | −0.918713 | − | 0.394925i | \(-0.870770\pi\) |
0.488794 | + | 0.872400i | \(0.337437\pi\) | |||||||
\(390\) | 7.69431 | − | 13.4444i | 0.389616 | − | 0.680782i | ||||
\(391\) | 3.27945 | + | 3.64220i | 0.165849 | + | 0.184194i | ||||
\(392\) | −17.7601 | + | 7.90731i | −0.897021 | + | 0.399379i | ||||
\(393\) | −31.6286 | − | 4.12712i | −1.59545 | − | 0.208186i | ||||
\(394\) | 1.42904 | − | 13.5964i | 0.0719941 | − | 0.684978i | ||||
\(395\) | −2.44018 | + | 5.93546i | −0.122779 | + | 0.298645i | ||||
\(396\) | −2.43842 | + | 15.6273i | −0.122535 | + | 0.785299i | ||||
\(397\) | 5.05655 | − | 3.67380i | 0.253781 | − | 0.184383i | −0.453620 | − | 0.891195i | \(-0.649868\pi\) |
0.707401 | + | 0.706813i | \(0.249868\pi\) | |||||||
\(398\) | −16.2541 | + | 18.0520i | −0.814745 | + | 0.904866i | ||||
\(399\) | 26.1403 | − | 34.1477i | 1.30865 | − | 1.70952i | ||||
\(400\) | −24.1070 | + | 6.59633i | −1.20535 | + | 0.329816i | ||||
\(401\) | 13.3637 | − | 23.1466i | 0.667352 | − | 1.15589i | −0.311290 | − | 0.950315i | \(-0.600761\pi\) |
0.978642 | − | 0.205572i | \(-0.0659056\pi\) | |||||||
\(402\) | 25.5504 | − | 21.8727i | 1.27434 | − | 1.09091i | ||||
\(403\) | −6.71991 | − | 2.99190i | −0.334743 | − | 0.149037i | ||||
\(404\) | −6.69072 | + | 4.86109i | −0.332876 | + | 0.241848i | ||||
\(405\) | 16.6672 | + | 11.2785i | 0.828198 | + | 0.560435i | ||||
\(406\) | 25.4201 | + | 18.4688i | 1.26158 | + | 0.916592i | ||||
\(407\) | 8.24078 | + | 14.2735i | 0.408480 | + | 0.707509i | ||||
\(408\) | 1.00732 | − | 4.21708i | 0.0498699 | − | 0.208777i | ||||
\(409\) | 16.0078 | + | 17.7784i | 0.791533 | + | 0.879087i | 0.994988 | − | 0.0999975i | \(-0.0318835\pi\) |
−0.203454 | + | 0.979084i | \(0.565217\pi\) | |||||||
\(410\) | −0.512928 | − | 17.7898i | −0.0253317 | − | 0.878573i | ||||
\(411\) | 27.0593 | + | 9.54732i | 1.33474 | + | 0.470935i | ||||
\(412\) | −0.0165938 | + | 0.00352711i | −0.000817516 | + | 0.000173768i | ||||
\(413\) | −15.1574 | + | 46.6496i | −0.745845 | + | 2.29547i | ||||
\(414\) | −16.0978 | − | 8.15585i | −0.791165 | − | 0.400838i | ||||
\(415\) | 15.2213 | + | 1.15744i | 0.747185 | + | 0.0568167i | ||||
\(416\) | 11.4430 | − | 2.43228i | 0.561039 | − | 0.119253i | ||||
\(417\) | 13.6020 | + | 12.8782i | 0.666092 | + | 0.630649i | ||||
\(418\) | −27.6539 | + | 47.8980i | −1.35260 | + | 2.34277i | ||||
\(419\) | −11.4619 | + | 5.10317i | −0.559951 | + | 0.249306i | −0.667140 | − | 0.744933i | \(-0.732482\pi\) |
0.107189 | + | 0.994239i | \(0.465815\pi\) | |||||||
\(420\) | 1.70880 | + | 15.6860i | 0.0833811 | + | 0.765398i | ||||
\(421\) | −1.07815 | − | 0.480023i | −0.0525458 | − | 0.0233949i | 0.380296 | − | 0.924865i | \(-0.375822\pi\) |
−0.432841 | + | 0.901470i | \(0.642489\pi\) | |||||||
\(422\) | −10.1970 | + | 7.40856i | −0.496382 | + | 0.360643i | ||||
\(423\) | −0.470351 | − | 8.59786i | −0.0228692 | − | 0.418042i | ||||
\(424\) | 10.1908 | 0.494908 | ||||||||
\(425\) | 5.90137 | + | 3.78816i | 0.286258 | + | 0.183753i | ||||
\(426\) | −11.9695 | + | 15.6361i | −0.579926 | + | 0.757570i | ||||
\(427\) | −44.8528 | − | 9.53375i | −2.17058 | − | 0.461370i | ||||
\(428\) | −0.335589 | − | 3.19292i | −0.0162213 | − | 0.154336i | ||||
\(429\) | −18.7959 | − | 11.4885i | −0.907474 | − | 0.554672i | ||||
\(430\) | −3.00939 | + | 16.4803i | −0.145126 | + | 0.794752i | ||||
\(431\) | −20.3282 | − | 14.7693i | −0.979174 | − | 0.711412i | −0.0216502 | − | 0.999766i | \(-0.506892\pi\) |
−0.957524 | + | 0.288354i | \(0.906892\pi\) | |||||||
\(432\) | 3.47873 | + | 25.7397i | 0.167371 | + | 1.23840i | ||||
\(433\) | 16.1875 | + | 11.7609i | 0.777922 | + | 0.565193i | 0.904355 | − | 0.426782i | \(-0.140353\pi\) |
−0.126433 | + | 0.991975i | \(0.540353\pi\) | |||||||
\(434\) | 22.5480 | − | 4.79272i | 1.08234 | − | 0.230058i | ||||
\(435\) | −13.4838 | + | 9.87485i | −0.646498 | + | 0.473463i | ||||
\(436\) | −2.69877 | − | 0.573641i | −0.129248 | − | 0.0274724i | ||||
\(437\) | −13.7250 | − | 15.2432i | −0.656556 | − | 0.729179i | ||||
\(438\) | 6.57813 | + | 9.54778i | 0.314315 | + | 0.456211i | ||||
\(439\) | −15.1706 | + | 16.8487i | −0.724054 | + | 0.804143i | −0.987009 | − | 0.160665i | \(-0.948636\pi\) |
0.262955 | + | 0.964808i | \(0.415303\pi\) | |||||||
\(440\) | 5.15597 | + | 21.2287i | 0.245801 | + | 1.01204i | ||||
\(441\) | −32.6362 | − | 1.63542i | −1.55410 | − | 0.0778769i | ||||
\(442\) | −4.53820 | − | 3.29719i | −0.215860 | − | 0.156832i | ||||
\(443\) | 2.48298 | + | 4.30064i | 0.117970 | + | 0.204330i | 0.918963 | − | 0.394344i | \(-0.129028\pi\) |
−0.800993 | + | 0.598673i | \(0.795695\pi\) | |||||||
\(444\) | −3.64751 | − | 3.45342i | −0.173103 | − | 0.163892i | ||||
\(445\) | −9.64068 | + | 3.44267i | −0.457012 | + | 0.163198i | ||||
\(446\) | 3.66000 | + | 34.8226i | 0.173306 | + | 1.64890i | ||||
\(447\) | −14.9913 | + | 8.16188i | −0.709066 | + | 0.386044i | ||||
\(448\) | 3.76507 | − | 4.18153i | 0.177883 | − | 0.197559i | ||||
\(449\) | 17.7685 | 0.838548 | 0.419274 | − | 0.907860i | \(-0.362285\pi\) | ||||
0.419274 | + | 0.907860i | \(0.362285\pi\) | |||||||
\(450\) | −25.2964 | − | 5.17681i | −1.19249 | − | 0.244037i | ||||
\(451\) | −25.3093 | −1.19177 | ||||||||
\(452\) | −5.18894 | + | 5.76290i | −0.244067 | + | 0.271064i | ||||
\(453\) | −0.786662 | + | 31.4168i | −0.0369606 | + | 1.47609i | ||||
\(454\) | 3.91608 | + | 37.2591i | 0.183791 | + | 1.74865i | ||||
\(455\) | −21.0880 | − | 6.18593i | −0.988621 | − | 0.290001i | ||||
\(456\) | −4.21579 | + | 17.6491i | −0.197423 | + | 0.826495i | ||||
\(457\) | −10.0171 | − | 17.3501i | −0.468579 | − | 0.811602i | 0.530776 | − | 0.847512i | \(-0.321900\pi\) |
−0.999355 | + | 0.0359099i | \(0.988567\pi\) | |||||||
\(458\) | 26.1540 | + | 19.0020i | 1.22210 | + | 0.887906i | ||||
\(459\) | 4.71390 | − | 5.55784i | 0.220026 | − | 0.259418i | ||||
\(460\) | 7.50430 | + | 0.570634i | 0.349890 | + | 0.0266060i | ||||
\(461\) | −8.43317 | + | 9.36598i | −0.392772 | + | 0.436217i | −0.906803 | − | 0.421554i | \(-0.861485\pi\) |
0.514031 | + | 0.857771i | \(0.328151\pi\) | |||||||
\(462\) | 68.8149 | − | 5.49518i | 3.20156 | − | 0.255659i | ||||
\(463\) | −16.6620 | − | 18.5051i | −0.774351 | − | 0.860004i | 0.218929 | − | 0.975741i | \(-0.429744\pi\) |
−0.993280 | + | 0.115737i | \(0.963077\pi\) | |||||||
\(464\) | −21.0992 | − | 4.48477i | −0.979505 | − | 0.208200i | ||||
\(465\) | −1.23543 | + | 12.1989i | −0.0572916 | + | 0.565713i | ||||
\(466\) | −10.7781 | + | 2.29095i | −0.499285 | + | 0.106126i | ||||
\(467\) | −29.6418 | − | 21.5361i | −1.37166 | − | 0.996570i | −0.997605 | − | 0.0691640i | \(-0.977967\pi\) |
−0.374056 | − | 0.927406i | \(-0.622033\pi\) | |||||||
\(468\) | 6.48882 | + | 1.72275i | 0.299946 | + | 0.0796341i | ||||
\(469\) | −38.6039 | − | 28.0474i | −1.78256 | − | 1.29511i | ||||
\(470\) | 4.78260 | + | 9.95906i | 0.220605 | + | 0.459377i | ||||
\(471\) | −4.04966 | + | 2.20479i | −0.186598 | + | 0.101592i | ||||
\(472\) | −2.16339 | − | 20.5832i | −0.0995779 | − | 0.947421i | ||||
\(473\) | 23.3035 | + | 4.95332i | 1.07150 | + | 0.227754i | ||||
\(474\) | −8.48499 | − | 1.10718i | −0.389728 | − | 0.0508546i | ||||
\(475\) | −24.6981 | − | 15.8540i | −1.13323 | − | 0.727432i | ||||
\(476\) | 5.71395 | 0.261899 | ||||||||
\(477\) | 15.2800 | + | 7.74148i | 0.699621 | + | 0.354458i | ||||
\(478\) | 24.4931 | − | 17.7952i | 1.12029 | − | 0.813936i | ||||
\(479\) | 6.67518 | + | 2.97198i | 0.304997 | + | 0.135793i | 0.553528 | − | 0.832831i | \(-0.313281\pi\) |
−0.248531 | + | 0.968624i | \(0.579948\pi\) | |||||||
\(480\) | −9.81406 | − | 16.8506i | −0.447949 | − | 0.769122i | ||||
\(481\) | 6.39115 | − | 2.84552i | 0.291411 | − | 0.129745i | ||||
\(482\) | −6.53911 | + | 11.3261i | −0.297849 | + | 0.515889i | ||||
\(483\) | −5.94819 | + | 24.9016i | −0.270652 | + | 1.13306i | ||||
\(484\) | −17.8649 | + | 3.79730i | −0.812040 | + | 0.172604i | ||||
\(485\) | 11.7562 | − | 28.5957i | 0.533823 | − | 1.29847i | ||||
\(486\) | −8.81222 | + | 25.3454i | −0.399731 | + | 1.14969i | ||||
\(487\) | −7.65681 | + | 23.5652i | −0.346963 | + | 1.06784i | 0.613561 | + | 0.789647i | \(0.289736\pi\) |
−0.960524 | + | 0.278195i | \(0.910264\pi\) | |||||||
\(488\) | 18.9255 | − | 4.02274i | 0.856717 | − | 0.182101i | ||||
\(489\) | 5.07607 | − | 4.34544i | 0.229548 | − | 0.196508i | ||||
\(490\) | 39.4842 | − | 14.0997i | 1.78371 | − | 0.636960i | ||||
\(491\) | −13.6528 | − | 15.1630i | −0.616143 | − | 0.684296i | 0.351624 | − | 0.936141i | \(-0.385629\pi\) |
−0.967768 | + | 0.251845i | \(0.918963\pi\) | |||||||
\(492\) | 7.39321 | − | 2.19918i | 0.333311 | − | 0.0991468i | ||||
\(493\) | 3.02613 | + | 5.24141i | 0.136290 | + | 0.236061i | ||||
\(494\) | 18.9930 | + | 13.7992i | 0.854537 | + | 0.620857i | ||||
\(495\) | −8.39566 | + | 35.7468i | −0.377357 | + | 1.60670i | ||||
\(496\) | −12.8027 | + | 9.30172i | −0.574859 | + | 0.417659i | ||||
\(497\) | 25.5215 | + | 11.3629i | 1.14480 | + | 0.509696i | ||||
\(498\) | 3.73221 | + | 20.0092i | 0.167244 | + | 0.896635i | ||||
\(499\) | −10.7311 | + | 18.5869i | −0.480392 | + | 0.832064i | −0.999747 | − | 0.0224950i | \(-0.992839\pi\) |
0.519355 | + | 0.854559i | \(0.326172\pi\) | |||||||
\(500\) | 10.5721 | − | 2.04633i | 0.472800 | − | 0.0915145i | ||||
\(501\) | −18.0559 | − | 2.35607i | −0.806679 | − | 0.105261i | ||||
\(502\) | 29.9259 | − | 33.2360i | 1.33566 | − | 1.48340i | ||||
\(503\) | −8.58020 | + | 6.23388i | −0.382572 | + | 0.277955i | −0.762405 | − | 0.647100i | \(-0.775981\pi\) |
0.379833 | + | 0.925055i | \(0.375981\pi\) | |||||||
\(504\) | 21.1259 | − | 8.16508i | 0.941025 | − | 0.363702i | ||||
\(505\) | −16.3443 | + | 10.0753i | −0.727311 | + | 0.448347i | ||||
\(506\) | 3.44179 | − | 32.7465i | 0.153006 | − | 1.45576i | ||||
\(507\) | 8.00298 | − | 10.4545i | 0.355425 | − | 0.464299i | ||||
\(508\) | −4.18398 | + | 1.86283i | −0.185634 | + | 0.0826497i | ||||
\(509\) | 3.07023 | + | 3.40983i | 0.136085 | + | 0.151138i | 0.807335 | − | 0.590093i | \(-0.200909\pi\) |
−0.671250 | + | 0.741231i | \(0.734242\pi\) | |||||||
\(510\) | −2.85571 | + | 8.90366i | −0.126453 | + | 0.394261i | ||||
\(511\) | 11.0067 | − | 12.2242i | 0.486910 | − | 0.540768i | ||||
\(512\) | 2.26343 | − | 6.96611i | 0.100030 | − | 0.307861i | ||||
\(513\) | −19.7284 | + | 23.2604i | −0.871029 | + | 1.02697i | ||||
\(514\) | −0.509248 | − | 1.56730i | −0.0224620 | − | 0.0691308i | ||||
\(515\) | −0.0390343 | + | 0.00524403i | −0.00172006 | + | 0.000231080i | ||||
\(516\) | −7.23771 | + | 0.577964i | −0.318623 | + | 0.0254435i | ||||
\(517\) | 14.3529 | − | 6.39031i | 0.631239 | − | 0.281046i | ||||
\(518\) | −10.9620 | + | 18.9867i | −0.481641 | + | 0.834227i | ||||
\(519\) | 10.2061 | − | 3.03592i | 0.448000 | − | 0.133262i | ||||
\(520\) | 9.19040 | − | 1.23468i | 0.403025 | − | 0.0541441i | ||||
\(521\) | 9.38013 | − | 6.81506i | 0.410951 | − | 0.298573i | −0.363036 | − | 0.931775i | \(-0.618260\pi\) |
0.773987 | + | 0.633202i | \(0.218260\pi\) | |||||||
\(522\) | −17.3506 | − | 13.9845i | −0.759414 | − | 0.612086i | ||||
\(523\) | −2.58596 | − | 7.95877i | −0.113076 | − | 0.348013i | 0.878465 | − | 0.477807i | \(-0.158568\pi\) |
−0.991541 | + | 0.129794i | \(0.958568\pi\) | |||||||
\(524\) | 8.86849 | + | 15.3607i | 0.387422 | + | 0.671034i | ||||
\(525\) | 1.19456 | + | 36.6129i | 0.0521350 | + | 1.59792i | ||||
\(526\) | 4.54717 | − | 7.87592i | 0.198266 | − | 0.343407i | ||||
\(527\) | 4.34315 | + | 0.923165i | 0.189191 | + | 0.0402137i | ||||
\(528\) | −41.6228 | + | 22.6611i | −1.81140 | + | 0.986199i | ||||
\(529\) | −9.85588 | − | 4.38812i | −0.428517 | − | 0.190788i | ||||
\(530\) | −21.9141 | − | 1.66637i | −0.951890 | − | 0.0723827i | ||||
\(531\) | 12.3924 | − | 32.5058i | 0.537785 | − | 1.41063i | ||||
\(532\) | −23.9137 | −1.03679 | ||||||||
\(533\) | −1.12296 | + | 10.6842i | −0.0486408 | + | 0.462786i | ||||
\(534\) | −7.74414 | − | 11.2402i | −0.335122 | − | 0.486410i | ||||
\(535\) | −0.214818 | − | 7.45047i | −0.00928738 | − | 0.322112i | ||||
\(536\) | 19.6941 | + | 4.18611i | 0.850656 | + | 0.180812i | ||||
\(537\) | 12.4362 | − | 0.993084i | 0.536660 | − | 0.0428548i | ||||
\(538\) | 29.4824 | − | 6.26667i | 1.27107 | − | 0.270175i | ||||
\(539\) | −18.4245 | − | 56.7048i | −0.793600 | − | 2.44245i | ||||
\(540\) | −0.653636 | − | 11.1717i | −0.0281280 | − | 0.480753i | ||||
\(541\) | 6.73533 | − | 20.7292i | 0.289575 | − | 0.891219i | −0.695416 | − | 0.718608i | \(-0.744780\pi\) |
0.984990 | − | 0.172611i | \(-0.0552203\pi\) | |||||||
\(542\) | −2.42252 | + | 23.0487i | −0.104056 | + | 0.990028i | ||||
\(543\) | −15.0949 | − | 36.3246i | −0.647785 | − | 1.55884i | ||||
\(544\) | −6.45108 | + | 2.87221i | −0.276588 | + | 0.123145i | ||||
\(545\) | −6.14650 | − | 1.80301i | −0.263287 | − | 0.0772323i | ||||
\(546\) | 0.733504 | − | 29.2938i | 0.0313911 | − | 1.25366i | ||||
\(547\) | 30.4960 | + | 13.5777i | 1.30392 | + | 0.580541i | 0.936875 | − | 0.349664i | \(-0.113704\pi\) |
0.367041 | + | 0.930205i | \(0.380371\pi\) | |||||||
\(548\) | −4.93071 | − | 15.1752i | −0.210630 | − | 0.648251i | ||||
\(549\) | 31.4327 | + | 8.34521i | 1.34151 | + | 0.356165i | ||||
\(550\) | −7.61609 | − | 46.4930i | −0.324751 | − | 1.98247i | ||||
\(551\) | −12.6648 | − | 21.9361i | −0.539538 | − | 0.934508i | ||||
\(552\) | −1.98082 | − | 10.6196i | −0.0843092 | − | 0.452001i | ||||
\(553\) | 1.26896 | + | 12.0734i | 0.0539618 | + | 0.513412i | ||||
\(554\) | 4.74507 | + | 45.1464i | 0.201599 | + | 1.91808i | ||||
\(555\) | −7.83584 | − | 8.63652i | −0.332613 | − | 0.366600i | ||||
\(556\) | 1.08877 | − | 10.3590i | 0.0461742 | − | 0.439318i | ||||
\(557\) | 0.351013 | 0.0148729 | 0.00743646 | − | 0.999972i | \(-0.497633\pi\) | ||||
0.00743646 | + | 0.999972i | \(0.497633\pi\) | |||||||
\(558\) | −16.1418 | + | 2.59454i | −0.683336 | + | 0.109835i | ||||
\(559\) | 3.12500 | − | 9.61776i | 0.132173 | − | 0.406788i | ||||
\(560\) | −34.2090 | + | 32.6355i | −1.44559 | + | 1.37910i | ||||
\(561\) | 12.5396 | + | 4.42433i | 0.529420 | + | 0.186795i | ||||
\(562\) | 28.9182 | + | 32.1169i | 1.21984 | + | 1.35477i | ||||
\(563\) | 4.59158 | + | 5.09946i | 0.193512 | + | 0.214917i | 0.832091 | − | 0.554640i | \(-0.187144\pi\) |
−0.638579 | + | 0.769557i | \(0.720477\pi\) | |||||||
\(564\) | −3.63741 | + | 3.11386i | −0.153163 | + | 0.131117i | ||||
\(565\) | −13.0265 | + | 12.4273i | −0.548029 | + | 0.522822i | ||||
\(566\) | −7.66881 | + | 23.6022i | −0.322344 | + | 0.992073i | ||||
\(567\) | 37.8787 | + | 3.80580i | 1.59076 | + | 0.159829i | ||||
\(568\) | −11.7878 | −0.494607 | ||||||||
\(569\) | −1.58415 | + | 15.0722i | −0.0664110 | + | 0.631858i | 0.909802 | + | 0.415043i | \(0.136234\pi\) |
−0.976213 | + | 0.216815i | \(0.930433\pi\) | |||||||
\(570\) | 11.9516 | − | 37.2631i | 0.500595 | − | 1.56078i | ||||
\(571\) | −4.14199 | − | 39.4084i | −0.173337 | − | 1.64919i | −0.642651 | − | 0.766159i | \(-0.722166\pi\) |
0.469314 | − | 0.883031i | \(-0.344501\pi\) | |||||||
\(572\) | 1.28044 | + | 12.1826i | 0.0535381 | + | 0.509381i | ||||
\(573\) | 17.5287 | + | 6.18463i | 0.732270 | + | 0.258367i | ||||
\(574\) | −16.8333 | − | 29.1561i | −0.702609 | − | 1.21695i | ||||
\(575\) | 17.2715 | + | 2.64196i | 0.720272 | + | 0.110177i | ||||
\(576\) | −2.81538 | + | 2.82831i | −0.117308 | + | 0.117846i | ||||
\(577\) | −3.56209 | − | 10.9630i | −0.148292 | − | 0.456396i | 0.849128 | − | 0.528188i | \(-0.177128\pi\) |
−0.997420 | + | 0.0717920i | \(0.977128\pi\) | |||||||
\(578\) | −23.6402 | − | 10.5253i | −0.983303 | − | 0.437795i | ||||
\(579\) | 22.8038 | − | 12.4153i | 0.947696 | − | 0.515963i | ||||
\(580\) | 8.91793 | + | 2.61598i | 0.370297 | + | 0.108622i | ||||
\(581\) | 26.3805 | − | 11.7454i | 1.09445 | − | 0.487280i | ||||
\(582\) | 40.8788 | + | 5.33416i | 1.69448 | + | 0.221108i | ||||
\(583\) | −3.26693 | + | 31.0828i | −0.135302 | + | 1.28732i | ||||
\(584\) | −2.14481 | + | 6.60104i | −0.0887528 | + | 0.273153i | ||||
\(585\) | 14.7179 | + | 5.13028i | 0.608512 | + | 0.212111i | ||||
\(586\) | −3.56038 | − | 10.9577i | −0.147078 | − | 0.452659i | ||||
\(587\) | 38.3928 | − | 8.16064i | 1.58464 | − | 0.336825i | 0.670400 | − | 0.742000i | \(-0.266123\pi\) |
0.914239 | + | 0.405174i | \(0.132789\pi\) | |||||||
\(588\) | 10.3093 | + | 14.9634i | 0.425148 | + | 0.617079i | ||||
\(589\) | −18.1767 | − | 3.86358i | −0.748959 | − | 0.159196i | ||||
\(590\) | 1.28640 | + | 44.6158i | 0.0529601 | + | 1.83680i | ||||
\(591\) | 13.7124 | − | 1.09500i | 0.564054 | − | 0.0450422i | ||||
\(592\) | 1.57324 | − | 14.9684i | 0.0646597 | − | 0.615196i | ||||
\(593\) | −2.11729 | −0.0869465 | −0.0434733 | − | 0.999055i | \(-0.513842\pi\) | ||||
−0.0434733 | + | 0.999055i | \(0.513842\pi\) | |||||||
\(594\) | −48.9395 | + | 1.44986i | −2.00801 | + | 0.0594883i | ||||
\(595\) | 13.2274 | + | 1.00583i | 0.542271 | + | 0.0412349i | ||||
\(596\) | 8.67114 | + | 3.86064i | 0.355184 | + | 0.158138i | ||||
\(597\) | −20.8548 | − | 12.7470i | −0.853531 | − | 0.521701i | ||||
\(598\) | −13.6711 | − | 2.90589i | −0.559055 | − | 0.118831i | ||||
\(599\) | −1.13371 | + | 1.96364i | −0.0463219 | + | 0.0802320i | −0.888257 | − | 0.459347i | \(-0.848083\pi\) |
0.841935 | + | 0.539579i | \(0.181417\pi\) | |||||||
\(600\) | −6.74402 | − | 13.9081i | −0.275323 | − | 0.567795i | ||||
\(601\) | 17.8254 | + | 30.8745i | 0.727113 | + | 1.25940i | 0.958098 | + | 0.286440i | \(0.0924718\pi\) |
−0.230985 | + | 0.972957i | \(0.574195\pi\) | |||||||
\(602\) | 9.79310 | + | 30.1401i | 0.399137 | + | 1.22842i | ||||
\(603\) | 26.3492 | + | 21.2374i | 1.07302 | + | 0.864852i | ||||
\(604\) | 14.1380 | − | 10.2719i | 0.575269 | − | 0.417957i | ||||
\(605\) | −42.0245 | + | 5.64574i | −1.70854 | + | 0.229532i | ||||
\(606\) | −18.5906 | − | 17.6013i | −0.755190 | − | 0.715006i | ||||
\(607\) | −12.5954 | + | 21.8159i | −0.511231 | + | 0.885478i | 0.488684 | + | 0.872461i | \(0.337477\pi\) |
−0.999915 | + | 0.0130175i | \(0.995856\pi\) | |||||||
\(608\) | 26.9987 | − | 12.0206i | 1.09494 | − | 0.487500i | ||||
\(609\) | −13.5782 | + | 28.5515i | −0.550218 | + | 1.15697i | ||||
\(610\) | −41.3550 | + | 5.55581i | −1.67442 | + | 0.224948i | ||||
\(611\) | −2.06082 | − | 6.34257i | −0.0833720 | − | 0.256593i | ||||
\(612\) | −4.04743 | − | 0.202819i | −0.163608 | − | 0.00819846i | ||||
\(613\) | −13.2971 | + | 40.9242i | −0.537063 | + | 1.65291i | 0.202085 | + | 0.979368i | \(0.435228\pi\) |
−0.739148 | + | 0.673543i | \(0.764772\pi\) | |||||||
\(614\) | 3.75644 | − | 4.17195i | 0.151598 | − | 0.168366i | ||||
\(615\) | 17.5019 | − | 3.78954i | 0.705745 | − | 0.152809i | ||||
\(616\) | 27.6521 | + | 30.7108i | 1.11414 | + | 1.23737i | ||||
\(617\) | 29.2543 | − | 13.0248i | 1.17773 | − | 0.524360i | 0.277906 | − | 0.960608i | \(-0.410360\pi\) |
0.899827 | + | 0.436248i | \(0.143693\pi\) | |||||||
\(618\) | −0.0201522 | − | 0.0484945i | −0.000810640 | − | 0.00195073i | ||||
\(619\) | 1.36801 | − | 13.0157i | 0.0549849 | − | 0.523146i | −0.932014 | − | 0.362421i | \(-0.881950\pi\) |
0.986999 | − | 0.160725i | \(-0.0513832\pi\) | |||||||
\(620\) | 5.80406 | − | 3.57788i | 0.233096 | − | 0.143691i | ||||
\(621\) | 5.09724 | − | 17.4277i | 0.204545 | − | 0.699351i | ||||
\(622\) | 44.8848 | − | 32.6107i | 1.79972 | − | 1.30757i | ||||
\(623\) | −12.9577 | + | 14.3910i | −0.519141 | + | 0.576565i | ||||
\(624\) | 7.71956 | + | 18.5764i | 0.309030 | + | 0.743653i | ||||
\(625\) | 24.8340 | − | 2.87610i | 0.993360 | − | 0.115044i | ||||
\(626\) | 17.6658 | − | 30.5980i | 0.706067 | − | 1.22294i | ||||
\(627\) | −52.4799 | − | 18.5165i | −2.09584 | − | 0.739476i | ||||
\(628\) | 2.34236 | + | 1.04289i | 0.0934704 | + | 0.0416157i | ||||
\(629\) | −3.41644 | + | 2.48219i | −0.136222 | + | 0.0989713i | ||||
\(630\) | −46.7642 | + | 14.1036i | −1.86313 | + | 0.561903i | ||||
\(631\) | 34.4722 | + | 25.0455i | 1.37232 | + | 0.997047i | 0.997552 | + | 0.0699268i | \(0.0222766\pi\) |
0.374765 | + | 0.927120i | \(0.377723\pi\) | |||||||
\(632\) | −2.56119 | − | 4.43612i | −0.101879 | − | 0.176459i | ||||
\(633\) | −9.20943 | − | 8.71939i | −0.366042 | − | 0.346565i | ||||
\(634\) | −4.60725 | − | 5.11686i | −0.182977 | − | 0.203217i | ||||
\(635\) | −10.0136 | + | 3.57582i | −0.397376 | + | 0.141902i | ||||
\(636\) | −1.74654 | − | 9.36361i | −0.0692548 | − | 0.371291i | ||||
\(637\) | −24.7553 | + | 5.26190i | −0.980841 | + | 0.208484i | ||||
\(638\) | 12.5649 | − | 38.6708i | 0.497450 | − | 1.53099i | ||||
\(639\) | −17.6746 | − | 8.95471i | −0.699197 | − | 0.354243i | ||||
\(640\) | 10.5087 | − | 25.5613i | 0.415394 | − | 1.01040i | ||||
\(641\) | 2.60724 | − | 0.554186i | 0.102980 | − | 0.0218890i | −0.156134 | − | 0.987736i | \(-0.549903\pi\) |
0.259113 | + | 0.965847i | \(0.416570\pi\) | |||||||
\(642\) | 9.52590 | − | 2.83357i | 0.375957 | − | 0.111832i | ||||
\(643\) | 19.1382 | − | 33.1483i | 0.754736 | − | 1.30724i | −0.190769 | − | 0.981635i | \(-0.561098\pi\) |
0.945505 | − | 0.325607i | \(-0.105569\pi\) | |||||||
\(644\) | 13.0059 | − | 5.79061i | 0.512505 | − | 0.228182i | ||||
\(645\) | −16.8566 | + | 0.0638949i | −0.663727 | + | 0.00251586i | ||||
\(646\) | −12.9459 | − | 5.76391i | −0.509352 | − | 0.226778i | ||||
\(647\) | 29.1546 | − | 21.1821i | 1.14619 | − | 0.832753i | 0.158217 | − | 0.987404i | \(-0.449425\pi\) |
0.987969 | + | 0.154651i | \(0.0494254\pi\) | |||||||
\(648\) | −15.2542 | + | 5.03379i | −0.599242 | + | 0.197746i | ||||
\(649\) | 63.4743 | 2.49158 | ||||||||
\(650\) | −19.9648 | + | 1.15224i | −0.783085 | + | 0.0451946i | ||||
\(651\) | 8.90074 | + | 21.4188i | 0.348847 | + | 0.839471i | ||||
\(652\) | −3.63451 | − | 0.772539i | −0.142338 | − | 0.0302550i | ||||
\(653\) | −2.97420 | − | 28.2976i | −0.116390 | − | 1.10737i | −0.884334 | − | 0.466855i | \(-0.845387\pi\) |
0.767944 | − | 0.640517i | \(-0.221280\pi\) | |||||||
\(654\) | 0.213794 | − | 8.53824i | 0.00835999 | − | 0.333872i | ||||
\(655\) | 17.8260 | + | 37.1201i | 0.696521 | + | 1.45040i | ||||
\(656\) | 18.6981 | + | 13.5850i | 0.730039 | + | 0.530405i | ||||
\(657\) | −8.23043 | + | 8.26823i | −0.321100 | + | 0.322575i | ||||
\(658\) | 16.9078 | + | 12.2842i | 0.659134 | + | 0.478889i | ||||
\(659\) | 31.7095 | − | 6.74006i | 1.23523 | − | 0.262555i | 0.456388 | − | 0.889781i | \(-0.349143\pi\) |
0.778838 | + | 0.627225i | \(0.215809\pi\) | |||||||
\(660\) | 18.6219 | − | 8.37573i | 0.724857 | − | 0.326025i | ||||
\(661\) | −45.4288 | − | 9.65619i | −1.76698 | − | 0.375582i | −0.794259 | − | 0.607579i | \(-0.792141\pi\) |
−0.972717 | + | 0.231997i | \(0.925474\pi\) | |||||||
\(662\) | 1.69789 | + | 1.88570i | 0.0659904 | + | 0.0732898i | ||||
\(663\) | 2.42409 | − | 5.09724i | 0.0941440 | − | 0.197960i | ||||
\(664\) | −8.15310 | + | 9.05493i | −0.316402 | + | 0.351400i | ||||
\(665\) | −55.3587 | − | 4.20953i | −2.14672 | − | 0.163239i | ||||
\(666\) | 8.43876 | − | 13.0600i | 0.326995 | − | 0.506063i | ||||
\(667\) | 12.1997 | + | 8.86361i | 0.472375 | + | 0.343200i | ||||
\(668\) | 5.06279 | + | 8.76900i | 0.195885 | + | 0.339283i | ||||
\(669\) | −33.7691 | + | 10.0450i | −1.30559 | + | 0.388361i | ||||
\(670\) | −41.6655 | − | 12.2221i | −1.60968 | − | 0.472181i | ||||
\(671\) | 6.20263 | + | 59.0141i | 0.239450 | + | 2.27821i | ||||
\(672\) | −31.4745 | − | 19.2381i | −1.21416 | − | 0.742124i | ||||
\(673\) | 3.91719 | − | 4.35048i | 0.150997 | − | 0.167699i | −0.662901 | − | 0.748707i | \(-0.730675\pi\) |
0.813898 | + | 0.581008i | \(0.197342\pi\) | |||||||
\(674\) | −16.0430 | −0.617953 | ||||||||
\(675\) | 0.453428 | − | 25.9768i | 0.0174524 | − | 0.999848i | ||||
\(676\) | −7.32129 | −0.281588 | ||||||||
\(677\) | 13.3028 | − | 14.7742i | 0.511266 | − | 0.567819i | −0.431142 | − | 0.902284i | \(-0.641889\pi\) |
0.942408 | + | 0.334465i | \(0.108556\pi\) | |||||||
\(678\) | −20.4824 | − | 12.5194i | −0.786623 | − | 0.480804i | ||||
\(679\) | −6.11358 | − | 58.1668i | −0.234618 | − | 2.23224i | ||||
\(680\) | −5.27137 | + | 1.88240i | −0.202148 | + | 0.0721866i | ||||
\(681\) | −36.1319 | + | 10.7478i | −1.38458 | + | 0.411856i | ||||
\(682\) | −14.9152 | − | 25.8340i | −0.571134 | − | 0.989233i | ||||
\(683\) | −36.4251 | − | 26.4644i | −1.39377 | − | 1.01263i | −0.995440 | − | 0.0953885i | \(-0.969591\pi\) |
−0.398328 | − | 0.917243i | \(-0.630409\pi\) | |||||||
\(684\) | 16.9391 | + | 0.848825i | 0.647682 | + | 0.0324557i | ||||
\(685\) | −8.74299 | − | 35.9975i | −0.334053 | − | 1.37539i | ||||
\(686\) | 18.9643 | − | 21.0620i | 0.724061 | − | 0.804151i | ||||
\(687\) | −13.9703 | + | 29.3758i | −0.532999 | + | 1.12076i | ||||
\(688\) | −14.5576 | − | 16.1679i | −0.555003 | − | 0.616394i | ||||
\(689\) | 12.9766 | + | 2.75826i | 0.494368 | + | 0.105081i | ||||
\(690\) | 2.52304 | + | 23.1603i | 0.0960503 | + | 0.881696i | ||||
\(691\) | −0.983758 | + | 0.209104i | −0.0374239 | + | 0.00795470i | −0.226586 | − | 0.973991i | \(-0.572756\pi\) |
0.189162 | + | 0.981946i | \(0.439423\pi\) | |||||||
\(692\) | −4.79031 | − | 3.48036i | −0.182100 | − | 0.132304i | ||||
\(693\) | 18.1317 | + | 67.0536i | 0.688767 | + | 2.54716i | ||||
\(694\) | 9.29844 | + | 6.75571i | 0.352964 | + | 0.256443i | ||||
\(695\) | 4.34392 | − | 23.7887i | 0.164774 | − | 0.902355i | ||||
\(696\) | 0.333928 | − | 13.3360i | 0.0126575 | − | 0.505501i | ||||
\(697\) | −0.677846 | − | 6.44928i | −0.0256753 | − | 0.244284i | ||||
\(698\) | 7.31441 | + | 1.55473i | 0.276855 | + | 0.0588472i | ||||
\(699\) | −4.25461 | − | 10.2384i | −0.160924 | − | 0.387250i | ||||
\(700\) | 15.7627 | − | 12.9030i | 0.595774 | − | 0.487689i | ||||
\(701\) | −8.14396 | −0.307593 | −0.153797 | − | 0.988103i | \(-0.549150\pi\) | ||||
−0.153797 | + | 0.988103i | \(0.549150\pi\) | |||||||
\(702\) | −1.55937 | + | 20.7240i | −0.0588545 | + | 0.782177i | ||||
\(703\) | 14.2983 | − | 10.3883i | 0.539270 | − | 0.391803i | ||||
\(704\) | −6.65195 | − | 2.96164i | −0.250705 | − | 0.111621i | ||||
\(705\) | −8.96851 | + | 6.56809i | −0.337774 | + | 0.247368i | ||||
\(706\) | −7.27561 | + | 3.23931i | −0.273821 | + | 0.121913i | ||||
\(707\) | −18.1604 | + | 31.4547i | −0.682992 | + | 1.18298i | ||||
\(708\) | −18.5418 | + | 5.51544i | −0.696843 | + | 0.207283i | ||||
\(709\) | −40.2017 | + | 8.54513i | −1.50981 | + | 0.320919i | −0.887115 | − | 0.461548i | \(-0.847294\pi\) |
−0.622691 | + | 0.782468i | \(0.713961\pi\) | |||||||
\(710\) | 25.3485 | + | 1.92752i | 0.951312 | + | 0.0723387i | ||||
\(711\) | −0.470310 | − | 8.59711i | −0.0176380 | − | 0.322417i | ||||
\(712\) | 2.52499 | − | 7.77112i | 0.0946279 | − | 0.291235i | ||||
\(713\) | 10.8213 | − | 2.30014i | 0.405261 | − | 0.0861409i | ||||
\(714\) | 3.24331 | + | 17.3881i | 0.121378 | + | 0.650735i | ||||
\(715\) | 0.819639 | + | 28.4273i | 0.0306528 | + | 1.06312i | ||||
\(716\) | −4.64207 | − | 5.15554i | −0.173482 | − | 0.192672i | ||||
\(717\) | 22.1209 | + | 20.9438i | 0.826120 | + | 0.782162i | ||||
\(718\) | 7.76100 | + | 13.4424i | 0.289638 | + | 0.501668i | ||||
\(719\) | 39.3653 | + | 28.6006i | 1.46808 | + | 1.06662i | 0.981165 | + | 0.193173i | \(0.0618779\pi\) |
0.486915 | + | 0.873449i | \(0.338122\pi\) | |||||||
\(720\) | 25.3901 | − | 21.9028i | 0.946232 | − | 0.816270i | ||||
\(721\) | −0.0602751 | + | 0.0437924i | −0.00224476 | + | 0.00163091i | ||||
\(722\) | 24.3021 | + | 10.8200i | 0.904429 | + | 0.402678i | ||||
\(723\) | −12.4095 | − | 4.37845i | −0.461515 | − | 0.162836i | ||||
\(724\) | −10.9369 | + | 18.9433i | −0.406468 | + | 0.704023i | ||||
\(725\) | 20.1839 | + | 7.62564i | 0.749613 | + | 0.283209i | ||||
\(726\) | −21.6959 | − | 52.2093i | −0.805211 | − | 1.93767i | ||||
\(727\) | 26.1295 | − | 29.0197i | 0.969089 | − | 1.07628i | −0.0279672 | − | 0.999609i | \(-0.508903\pi\) |
0.997056 | − | 0.0766736i | \(-0.0244299\pi\) | |||||||
\(728\) | 14.1914 | − | 10.3107i | 0.525968 | − | 0.382138i | ||||
\(729\) | −26.6960 | − | 4.04032i | −0.988740 | − | 0.149642i | ||||
\(730\) | 5.69157 | − | 13.8441i | 0.210654 | − | 0.512393i | ||||
\(731\) | −0.638072 | + | 6.07085i | −0.0235999 | + | 0.224538i | ||||
\(732\) | −6.93976 | − | 16.6999i | −0.256501 | − | 0.617247i | ||||
\(733\) | 0.702728 | − | 0.312875i | 0.0259559 | − | 0.0115563i | −0.393718 | − | 0.919231i | \(-0.628811\pi\) |
0.419674 | + | 0.907675i | \(0.362145\pi\) | |||||||
\(734\) | −10.6628 | − | 11.8422i | −0.393570 | − | 0.437104i | ||||
\(735\) | 21.2313 | + | 36.4539i | 0.783130 | + | 1.34462i | ||||
\(736\) | −11.7730 | + | 13.0753i | −0.433959 | + | 0.481961i | ||||
\(737\) | −19.0815 | + | 58.7268i | −0.702876 | + | 2.16323i | ||||
\(738\) | 10.8888 | + | 21.2500i | 0.400823 | + | 0.782224i | ||||
\(739\) | 16.0888 | + | 49.5162i | 0.591835 | + | 1.82148i | 0.569888 | + | 0.821723i | \(0.306987\pi\) |
0.0219476 | + | 0.999759i | \(0.493013\pi\) | |||||||
\(740\) | −1.16487 | + | 6.37917i | −0.0428214 | + | 0.234503i | ||||
\(741\) | −10.1452 | + | 21.3327i | −0.372693 | + | 0.783676i | ||||
\(742\) | −37.9801 | + | 16.9098i | −1.39429 | + | 0.620779i | ||||
\(743\) | 19.6551 | − | 34.0437i | 0.721076 | − | 1.24894i | −0.239492 | − | 0.970898i | \(-0.576981\pi\) |
0.960569 | − | 0.278043i | \(-0.0896857\pi\) | |||||||
\(744\) | −7.10689 | − | 6.72873i | −0.260551 | − | 0.246687i | ||||
\(745\) | 19.3935 | + | 10.4635i | 0.710524 | + | 0.383353i | ||||
\(746\) | 7.54594 | − | 5.48244i | 0.276276 | − | 0.200727i | ||||
\(747\) | −19.1033 | + | 7.38335i | −0.698954 | + | 0.270143i | ||||
\(748\) | −2.28494 | − | 7.03234i | −0.0835458 | − | 0.257128i | ||||
\(749\) | −7.04991 | − | 12.2108i | −0.257598 | − | 0.446173i | ||||
\(750\) | 12.2281 | + | 31.0106i | 0.446506 | + | 1.13235i | ||||
\(751\) | 19.8565 | − | 34.3925i | 0.724575 | − | 1.25500i | −0.234573 | − | 0.972098i | \(-0.575369\pi\) |
0.959149 | − | 0.282903i | \(-0.0912973\pi\) | |||||||
\(752\) | −14.0338 | − | 2.98297i | −0.511759 | − | 0.108778i | ||||
\(753\) | 38.3963 | + | 23.4688i | 1.39924 | + | 0.855252i | ||||
\(754\) | −15.7673 | − | 7.02005i | −0.574211 | − | 0.255655i | ||||
\(755\) | 34.5368 | − | 21.2900i | 1.25692 | − | 0.774824i | ||||
\(756\) | −11.1230 | − | 18.0118i | −0.404539 | − | 0.655084i | ||||
\(757\) | −30.6481 | −1.11392 | −0.556961 | − | 0.830538i | \(-0.688033\pi\) | ||||
−0.556961 | + | 0.830538i | \(0.688033\pi\) | |||||||
\(758\) | 1.60466 | − | 15.2673i | 0.0582838 | − | 0.554534i | ||||
\(759\) | 33.0258 | − | 2.63726i | 1.19876 | − | 0.0957266i | ||||
\(760\) | 22.0615 | − | 7.87810i | 0.800253 | − | 0.285769i | ||||
\(761\) | 18.3629 | + | 3.90315i | 0.665654 | + | 0.141489i | 0.528333 | − | 0.849037i | \(-0.322817\pi\) |
0.137321 | + | 0.990527i | \(0.456151\pi\) | |||||||
\(762\) | −8.04367 | − | 11.6749i | −0.291391 | − | 0.422938i | ||||
\(763\) | −11.8524 | + | 2.51930i | −0.429085 | + | 0.0912048i | ||||
\(764\) | −3.19405 | − | 9.83029i | −0.115557 | − | 0.355647i | ||||
\(765\) | −9.33383 | − | 1.18198i | −0.337465 | − | 0.0427346i | ||||
\(766\) | −9.81472 | + | 30.2066i | −0.354620 | + | 1.09141i | ||||
\(767\) | 2.81632 | − | 26.7955i | 0.101692 | − | 0.967531i | ||||
\(768\) | 31.9716 | + | 4.17189i | 1.15368 | + | 0.150540i | ||||
\(769\) | −34.5232 | + | 15.3707i | −1.24494 | + | 0.554282i | −0.920172 | − | 0.391513i | \(-0.871952\pi\) |
−0.324764 | + | 0.945795i | \(0.605285\pi\) | |||||||
\(770\) | −54.4411 | − | 70.5618i | −1.96192 | − | 2.54287i | ||||
\(771\) | 1.45633 | − | 0.792883i | 0.0524483 | − | 0.0285550i | ||||
\(772\) | −13.1900 | − | 5.87256i | −0.474718 | − | 0.211358i | ||||
\(773\) | −8.44199 | − | 25.9818i | −0.303637 | − | 0.934500i | −0.980182 | − | 0.198098i | \(-0.936524\pi\) |
0.676545 | − | 0.736401i | \(-0.263476\pi\) | |||||||
\(774\) | −5.86702 | − | 21.6971i | −0.210886 | − | 0.779885i | ||||
\(775\) | 14.0658 | − | 7.26087i | 0.505259 | − | 0.260818i | ||||
\(776\) | 12.3393 | + | 21.3722i | 0.442954 | + | 0.767219i | ||||
\(777\) | −20.8029 | − | 7.33990i | −0.746301 | − | 0.263317i | ||||
\(778\) | 2.28015 | + | 21.6941i | 0.0817472 | + | 0.777773i | ||||
\(779\) | 2.83689 | + | 26.9912i | 0.101642 | + | 0.967059i | ||||
\(780\) | −2.70955 | − | 8.23282i | −0.0970175 | − | 0.294782i | ||||
\(781\) | 3.77892 | − | 35.9540i | 0.135220 | − | 1.28654i | ||||
\(782\) | 8.43660 | 0.301692 | ||||||||
\(783\) | 10.6315 | − | 19.7423i | 0.379938 | − | 0.705531i | ||||
\(784\) | −16.8251 | + | 51.7823i | −0.600896 | + | 1.84937i | ||||
\(785\) | 5.23883 | + | 2.82654i | 0.186982 | + | 0.100884i | ||||
\(786\) | −41.7103 | + | 35.7067i | −1.48776 | + | 1.27361i | ||||
\(787\) | −10.7096 | − | 11.8942i | −0.381755 | − | 0.423982i | 0.521389 | − | 0.853319i | \(-0.325414\pi\) |
−0.903144 | + | 0.429337i | \(0.858747\pi\) | |||||||
\(788\) | −5.11846 | − | 5.68462i | −0.182337 | − | 0.202506i | ||||
\(789\) | 8.62933 | + | 3.04468i | 0.307212 | + | 0.108394i | ||||
\(790\) | 4.78218 | + | 9.95819i | 0.170142 | + | 0.354296i | ||||
\(791\) | −10.5242 | + | 32.3902i | −0.374198 | + | 1.15166i | ||||
\(792\) | −18.4970 | − | 22.7352i | −0.657264 | − | 0.807861i | ||||
\(793\) | 25.1879 | 0.894448 | ||||||||
\(794\) | 1.12463 | − | 10.7001i | 0.0399115 | − | 0.379732i | ||||
\(795\) | −2.39485 | − | 21.9836i | −0.0849366 | − | 0.779677i | ||||
\(796\) | 1.42071 | + | 13.5171i | 0.0503556 | + | 0.479102i | ||||
\(797\) | 1.81021 | + | 17.2230i | 0.0641209 | + | 0.610070i | 0.978648 | + | 0.205544i | \(0.0658965\pi\) |
−0.914527 | + | 0.404525i | \(0.867437\pi\) | |||||||
\(798\) | −13.5737 | − | 72.7719i | −0.480505 | − | 2.57610i | ||||
\(799\) | 2.01278 | + | 3.48623i | 0.0712070 | + | 0.123334i | ||||
\(800\) | −11.3103 | + | 22.4910i | −0.399878 | + | 0.795176i | ||||
\(801\) | 9.68932 | − | 9.73383i | 0.342355 | − | 0.343928i | ||||
\(802\) | −14.2173 | − | 43.7563i | −0.502029 | − | 1.54509i | ||||
\(803\) | −19.4462 | − | 8.65801i | −0.686242 | − | 0.305534i | ||||
\(804\) | 0.471069 | − | 18.8130i | 0.0166133 | − | 0.663483i | ||||
\(805\) | 31.1272 | − | 11.1155i | 1.09709 | − | 0.391768i | ||||
\(806\) | −11.5675 | + | 5.15019i | −0.407449 | + | 0.181408i | ||||
\(807\) | 11.6381 | + | 28.0060i | 0.409679 | + | 0.985857i | ||||
\(808\) | 1.60195 | − | 15.2415i | 0.0563563 | − | 0.536194i | ||||
\(809\) | 3.76845 | − | 11.5981i | 0.132492 | − | 0.407767i | −0.862700 | − | 0.505716i | \(-0.831228\pi\) |
0.995191 | + | 0.0979492i | \(0.0312283\pi\) | |||||||
\(810\) | 33.6256 | − | 8.33028i | 1.18148 | − | 0.292696i | ||||
\(811\) | 1.10851 | + | 3.41163i | 0.0389249 | + | 0.119799i | 0.968631 | − | 0.248504i | \(-0.0799390\pi\) |
−0.929706 | + | 0.368303i | \(0.879939\pi\) | |||||||
\(812\) | 17.1966 | − | 3.65525i | 0.603482 | − | 0.128274i | ||||
\(813\) | −23.2454 | + | 1.85625i | −0.815251 | + | 0.0651015i | ||||
\(814\) | 27.7511 | + | 5.89867i | 0.972675 | + | 0.206748i | ||||
\(815\) | −8.27766 | − | 2.42816i | −0.289954 | − | 0.0850548i | ||||
\(816\) | −6.88925 | − | 9.99936i | −0.241172 | − | 0.350048i | ||||
\(817\) | 2.67042 | − | 25.4074i | 0.0934263 | − | 0.888892i | ||||
\(818\) | 41.1810 | 1.43986 | ||||||||
\(819\) | 29.1110 | − | 4.67913i | 1.01722 | − | 0.163502i | ||||
\(820\) | −7.58913 | − | 6.44709i | −0.265024 | − | 0.225142i | ||||
\(821\) | −8.52808 | − | 3.79695i | −0.297632 | − | 0.132514i | 0.252488 | − | 0.967600i | \(-0.418751\pi\) |
−0.550120 | + | 0.835086i | \(0.685418\pi\) | |||||||
\(822\) | 43.3809 | − | 23.6183i | 1.51308 | − | 0.823783i | ||||
\(823\) | 47.0748 | + | 10.0061i | 1.64093 | + | 0.348790i | 0.933661 | − | 0.358159i | \(-0.116595\pi\) |
0.707265 | + | 0.706948i | \(0.249929\pi\) | |||||||
\(824\) | 0.0157184 | − | 0.0272251i | 0.000547576 | − | 0.000948430i | ||||
\(825\) | 44.5829 | − | 16.1113i | 1.55218 | − | 0.560922i | ||||
\(826\) | 42.2171 | + | 73.1221i | 1.46892 | + | 2.54424i | ||||
\(827\) | 8.29286 | + | 25.5228i | 0.288371 | + | 0.887515i | 0.985368 | + | 0.170441i | \(0.0545191\pi\) |
−0.696997 | + | 0.717074i | \(0.745481\pi\) | |||||||
\(828\) | −9.41817 | + | 3.64008i | −0.327304 | + | 0.126501i | ||||
\(829\) | −27.4122 | + | 19.9161i | −0.952065 | + | 0.691716i | −0.951294 | − | 0.308284i | \(-0.900245\pi\) |
−0.000770971 | 1.00000i | \(0.500245\pi\) | ||||||||
\(830\) | 19.0130 | − | 18.1385i | 0.659951 | − | 0.629596i | ||||
\(831\) | −43.7806 | + | 13.0230i | −1.51873 | + | 0.451762i | ||||
\(832\) | −1.54539 | + | 2.67670i | −0.0535769 | + | 0.0927979i | ||||
\(833\) | 13.9560 | − | 6.21361i | 0.483547 | − | 0.215289i | ||||
\(834\) | 32.1414 | − | 2.56664i | 1.11297 | − | 0.0888754i | ||||
\(835\) | 10.1764 | + | 21.1909i | 0.352169 | + | 0.733340i | ||||
\(836\) | 9.56283 | + | 29.4314i | 0.330737 | + | 1.01790i | ||||
\(837\) | −5.54449 | − | 15.4878i | −0.191646 | − | 0.535336i | ||||
\(838\) | −6.67399 | + | 20.5404i | −0.230549 | + | 0.709558i | ||||
\(839\) | −12.0596 | + | 13.3936i | −0.416344 | + | 0.462397i | −0.914438 | − | 0.404726i | \(-0.867367\pi\) |
0.498094 | + | 0.867123i | \(0.334034\pi\) | |||||||
\(840\) | −23.7203 | − | 17.0968i | −0.818430 | − | 0.589897i | ||||
\(841\) | −6.94446 | − | 7.71260i | −0.239464 | − | 0.265952i | ||||
\(842\) | −1.85591 | + | 0.826303i | −0.0639587 | + | 0.0284763i | ||||
\(843\) | −26.4327 | + | 34.5296i | −0.910390 | + | 1.18926i | ||||
\(844\) | −0.737169 | + | 7.01369i | −0.0253744 | + | 0.241421i | ||||
\(845\) | −16.9483 | − | 1.28877i | −0.583039 | − | 0.0443349i | ||||
\(846\) | −11.5404 | − | 9.30156i | −0.396769 | − | 0.319794i | ||||
\(847\) | −64.8923 | + | 47.1470i | −2.22973 | + | 1.61999i | ||||
\(848\) | 19.0975 | − | 21.2100i | 0.655812 | − | 0.728353i | ||||
\(849\) | −24.7607 | − | 3.23095i | −0.849785 | − | 0.110886i | ||||
\(850\) | 11.6433 | − | 3.18592i | 0.399362 | − | 0.109276i | ||||
\(851\) | −5.26090 | + | 9.11215i | −0.180341 | + | 0.312361i | ||||
\(852\) | 2.02025 | + | 10.8311i | 0.0692128 | + | 0.371066i | ||||
\(853\) | 37.2944 | + | 16.6045i | 1.27694 | + | 0.568528i | 0.929378 | − | 0.369130i | \(-0.120344\pi\) |
0.347558 | + | 0.937659i | \(0.387011\pi\) | |||||||
\(854\) | −63.8586 | + | 46.3960i | −2.18520 | + | 1.58764i | ||||
\(855\) | 39.0634 | + | 4.94676i | 1.33594 | + | 0.169176i | ||||
\(856\) | 4.81315 | + | 3.49696i | 0.164510 | + | 0.119524i | ||||
\(857\) | −0.284511 | − | 0.492787i | −0.00971870 | − | 0.0168333i | 0.861125 | − | 0.508393i | \(-0.169760\pi\) |
−0.870844 | + | 0.491560i | \(0.836427\pi\) | |||||||
\(858\) | −36.3462 | + | 10.8115i | −1.24084 | + | 0.369100i | ||||
\(859\) | 23.5971 | + | 26.2073i | 0.805124 | + | 0.894181i | 0.996173 | − | 0.0873996i | \(-0.0278557\pi\) |
−0.191049 | + | 0.981580i | \(0.561189\pi\) | |||||||
\(860\) | 5.72593 | + | 7.42145i | 0.195253 | + | 0.253069i | ||||
\(861\) | 25.7338 | − | 22.0297i | 0.877004 | − | 0.750772i | ||||
\(862\) | −42.3080 | + | 8.99284i | −1.44102 | + | 0.306297i | ||||
\(863\) | 7.48769 | − | 23.0447i | 0.254884 | − | 0.784452i | −0.738968 | − | 0.673740i | \(-0.764687\pi\) |
0.993852 | − | 0.110712i | \(-0.0353132\pi\) | |||||||
\(864\) | 21.6119 | + | 14.7443i | 0.735250 | + | 0.501612i | ||||
\(865\) | −10.4766 | − | 8.90005i | −0.356215 | − | 0.302611i | ||||
\(866\) | 33.6902 | − | 7.16107i | 1.14484 | − | 0.243343i | ||||
\(867\) | 6.04940 | − | 25.3253i | 0.205448 | − | 0.860094i | ||||
\(868\) | 6.44898 | − | 11.1700i | 0.218893 | − | 0.379133i | ||||
\(869\) | 14.3516 | − | 6.38975i | 0.486845 | − | 0.216758i | ||||
\(870\) | −2.89875 | + | 28.6231i | −0.0982770 | + | 0.970413i | ||||
\(871\) | 23.9448 | + | 10.6609i | 0.811337 | + | 0.361231i | ||||
\(872\) | 4.13635 | − | 3.00523i | 0.140074 | − | 0.101770i | ||||
\(873\) | 2.26585 | + | 41.4190i | 0.0766874 | + | 1.40182i | ||||
\(874\) | −35.3084 | −1.19433 | ||||||||
\(875\) | 38.7609 | − | 27.0950i | 1.31036 | − | 0.915977i | ||||
\(876\) | 6.43284 | + | 0.839403i | 0.217345 | + | 0.0283608i | ||||
\(877\) | 48.0471 | + | 10.2127i | 1.62243 | + | 0.344859i | 0.927387 | − | 0.374104i | \(-0.122050\pi\) |
0.695048 | + | 0.718963i | \(0.255383\pi\) | |||||||
\(878\) | 4.07947 | + | 38.8135i | 0.137675 | + | 1.30989i | ||||
\(879\) | 10.1818 | − | 5.54339i | 0.343424 | − | 0.186974i | ||||
\(880\) | 53.8453 | + | 29.0515i | 1.81513 | + | 0.979326i | ||||
\(881\) | −9.93477 | − | 7.21804i | −0.334711 | − | 0.243182i | 0.407716 | − | 0.913109i | \(-0.366325\pi\) |
−0.742427 | + | 0.669927i | \(0.766325\pi\) | |||||||
\(882\) | −39.6834 | + | 39.8656i | −1.33621 | + | 1.34235i | ||||
\(883\) | −40.0558 | − | 29.1022i | −1.34798 | − | 0.979367i | −0.999109 | − | 0.0421976i | \(-0.986564\pi\) |
−0.348874 | − | 0.937170i | \(-0.613436\pi\) | |||||||
\(884\) | −3.07007 | + | 0.652563i | −0.103257 | + | 0.0219481i | ||||
\(885\) | −43.8939 | + | 9.50397i | −1.47548 | + | 0.319472i | ||||
\(886\) | 8.36149 | + | 1.77729i | 0.280910 | + | 0.0597092i | ||||
\(887\) | −32.1435 | − | 35.6990i | −1.07927 | − | 1.19865i | −0.979035 | − | 0.203691i | \(-0.934706\pi\) |
−0.100238 | − | 0.994963i | \(-0.531960\pi\) | |||||||
\(888\) | 9.27856 | − | 0.740935i | 0.311368 | − | 0.0248641i | ||||
\(889\) | −13.4589 | + | 14.9477i | −0.451398 | + | 0.501328i | ||||
\(890\) | −6.70043 | + | 16.2981i | −0.224599 | + | 0.546312i | ||||
\(891\) | −10.4634 | − | 48.1404i | −0.350536 | − | 1.61277i | ||||
\(892\) | 15.8497 | + | 11.5155i | 0.530688 | + | 0.385568i | ||||
\(893\) | −8.42377 | − | 14.5904i | −0.281891 | − | 0.488249i | ||||
\(894\) | −6.82648 | + | 28.5785i | −0.228312 | + | 0.955809i | ||||
\(895\) | −9.83855 | − | 12.7519i | −0.328867 | − | 0.426248i | ||||
\(896\) | −5.46484 | − | 51.9945i | −0.182567 | − | 1.73701i | ||||
\(897\) | 0.352026 | − | 14.0588i | 0.0117538 | − | 0.469409i | ||||
\(898\) | 20.4663 | − | 22.7301i | 0.682969 | − | 0.758514i | ||||
\(899\) | 13.6616 | 0.455640 | ||||||||
\(900\) | −11.6234 | + | 8.58025i | −0.387446 | + | 0.286008i | ||||
\(901\) | −8.00797 | −0.266784 | ||||||||
\(902\) | −29.1519 | + | 32.3765i | −0.970653 | + | 1.07802i | ||||
\(903\) | −28.0059 | + | 15.2475i | −0.931978 | + | 0.507406i | ||||
\(904\) | −1.50211 | − | 14.2916i | −0.0499593 | − | 0.475331i | ||||
\(905\) | −28.6529 | + | 41.9273i | −0.952454 | + | 1.39371i | ||||
\(906\) | 39.2834 | + | 37.1931i | 1.30510 | + | 1.23566i | ||||
\(907\) | −4.54408 | − | 7.87058i | −0.150884 | − | 0.261338i | 0.780669 | − | 0.624945i | \(-0.214879\pi\) |
−0.931553 | + | 0.363607i | \(0.881545\pi\) | |||||||
\(908\) | 16.9587 | + | 12.3212i | 0.562794 | + | 0.408894i | ||||
\(909\) | 13.9802 | − | 21.6361i | 0.463696 | − | 0.717623i | ||||
\(910\) | −32.2030 | + | 19.8514i | −1.06752 | + | 0.658067i | ||||
\(911\) | 1.57331 | − | 1.74733i | 0.0521260 | − | 0.0578917i | −0.716518 | − | 0.697569i | \(-0.754265\pi\) |
0.768644 | + | 0.639677i | \(0.220932\pi\) | |||||||
\(912\) | 28.8325 | + | 41.8488i | 0.954740 | + | 1.38575i | ||||
\(913\) | −25.0047 | − | 27.7705i | −0.827534 | − | 0.919069i | ||||
\(914\) | −33.7328 | − | 7.17012i | −1.11578 | − | 0.237166i | ||||
\(915\) | −13.1254 | − | 39.8808i | −0.433912 | − | 1.31842i | ||||
\(916\) | 17.6931 | − | 3.76077i | 0.584595 | − | 0.124259i | ||||
\(917\) | 63.0198 | + | 45.7866i | 2.08110 | + | 1.51201i | ||||
\(918\) | −1.68017 | − | 12.4319i | −0.0554540 | − | 0.410313i | ||||
\(919\) | −35.1878 | − | 25.5654i | −1.16074 | − | 0.843325i | −0.170866 | − | 0.985294i | \(-0.554657\pi\) |
−0.989871 | + | 0.141969i | \(0.954657\pi\) | |||||||
\(920\) | −10.0909 | + | 9.62675i | −0.332687 | + | 0.317384i | ||||
\(921\) | 4.81970 | + | 2.94592i | 0.158814 | + | 0.0970715i | ||||
\(922\) | 2.26773 | + | 21.5760i | 0.0746837 | + | 0.710568i | ||||
\(923\) | −15.0102 | − | 3.19052i | −0.494068 | − | 0.105017i | ||||
\(924\) | 23.4789 | − | 30.6710i | 0.772399 | − | 1.00900i | ||||
\(925\) | −3.81952 | + | 14.5623i | −0.125585 | + | 0.478806i | ||||
\(926\) | −42.8642 | −1.40860 | ||||||||
\(927\) | 0.0442497 | − | 0.0288805i | 0.00145335 | − | 0.000948559i | ||||
\(928\) | −17.5777 | + | 12.7709i | −0.577015 | + | 0.419226i | ||||
\(929\) | 47.0033 | + | 20.9272i | 1.54213 | + | 0.686600i | 0.989192 | − | 0.146624i | \(-0.0468406\pi\) |
0.552936 | + | 0.833224i | \(0.313507\pi\) | |||||||
\(930\) | 14.1823 | + | 15.6315i | 0.465056 | + | 0.512577i | ||||
\(931\) | −58.4079 | + | 26.0049i | −1.91424 | + | 0.852276i | ||||
\(932\) | −3.08265 | + | 5.33931i | −0.100976 | + | 0.174895i | ||||
\(933\) | 40.5377 | + | 38.3807i | 1.32714 | + | 1.25653i | ||||
\(934\) | −61.6920 | + | 13.1130i | −2.01862 | + | 0.429072i | ||||
\(935\) | −4.05159 | − | 16.6816i | −0.132501 | − | 0.545547i | ||||
\(936\) | −10.4183 | + | 6.79973i | −0.340534 | + | 0.222256i | ||||
\(937\) | −1.71388 | + | 5.27478i | −0.0559900 | + | 0.172320i | −0.975141 | − | 0.221587i | \(-0.928876\pi\) |
0.919151 | + | 0.393906i | \(0.128876\pi\) | |||||||
\(938\) | −80.3442 | + | 17.0777i | −2.62333 | + | 0.557606i | ||||
\(939\) | 33.5250 | + | 11.8286i | 1.09405 | + | 0.386013i | ||||
\(940\) | 5.93161 | + | 1.73997i | 0.193468 | + | 0.0567516i | ||||
\(941\) | 23.4660 | + | 26.0616i | 0.764970 | + | 0.849585i | 0.992252 | − | 0.124244i | \(-0.0396506\pi\) |
−0.227282 | + | 0.973829i | \(0.572984\pi\) | |||||||
\(942\) | −1.84406 | + | 7.72001i | −0.0600827 | + | 0.251531i | ||||
\(943\) | −8.07869 | − | 13.9927i | −0.263078 | − | 0.455665i | ||||
\(944\) | −46.8939 | − | 34.0704i | −1.52627 | − | 1.10890i | ||||
\(945\) | −22.5784 | − | 43.6542i | −0.734475 | − | 1.42007i | ||||
\(946\) | 33.1782 | − | 24.1053i | 1.07871 | − | 0.783732i | ||||
\(947\) | −51.1465 | − | 22.7719i | −1.66204 | − | 0.739987i | −0.662083 | − | 0.749430i | \(-0.730328\pi\) |
−0.999955 | + | 0.00944271i | \(0.996994\pi\) | |||||||
\(948\) | −3.63710 | + | 3.11359i | −0.118127 | + | 0.101125i | ||||
\(949\) | −4.51778 | + | 7.82502i | −0.146653 | + | 0.254011i | ||||
\(950\) | −48.7290 | + | 13.3336i | −1.58098 | + | 0.432598i | ||||
\(951\) | 4.21126 | − | 5.50126i | 0.136559 | − | 0.178391i | ||||
\(952\) | −7.08509 | + | 7.86879i | −0.229629 | + | 0.255029i | ||||
\(953\) | −5.24619 | + | 3.81158i | −0.169941 | + | 0.123469i | −0.669505 | − | 0.742808i | \(-0.733494\pi\) |
0.499564 | + | 0.866277i | \(0.333494\pi\) | |||||||
\(954\) | 27.5031 | − | 10.6298i | 0.890445 | − | 0.344153i | ||||
\(955\) | −5.66360 | − | 23.3187i | −0.183270 | − | 0.754576i | ||||
\(956\) | 1.77067 | − | 16.8468i | 0.0572675 | − | 0.544864i | ||||
\(957\) | 40.5690 | + | 5.29374i | 1.31141 | + | 0.171122i | ||||
\(958\) | 11.4905 | − | 5.11591i | 0.371242 | − | 0.165288i | ||||
\(959\) | −46.8898 | − | 52.0764i | −1.51415 | − | 1.68163i | ||||
\(960\) | 5.04342 | + | 1.05205i | 0.162776 | + | 0.0339547i | ||||
\(961\) | −14.0366 | + | 15.5892i | −0.452792 | + | 0.502876i | ||||
\(962\) | 3.72141 | − | 11.4533i | 0.119983 | − | 0.369270i | ||||
\(963\) | 4.56031 | + | 8.89965i | 0.146954 | + | 0.286787i | ||||
\(964\) | 2.26125 | + | 6.95941i | 0.0728300 | + | 0.224148i | ||||
\(965\) | −29.5002 | − | 15.9164i | −0.949645 | − | 0.512367i | ||||
\(966\) | 25.0038 | + | 36.2916i | 0.804483 | + | 1.16766i | ||||
\(967\) | 4.57452 | − | 2.03671i | 0.147107 | − | 0.0654962i | −0.331863 | − | 0.943328i | \(-0.607677\pi\) |
0.478970 | + | 0.877832i | \(0.341010\pi\) | |||||||
\(968\) | 16.9225 | − | 29.3106i | 0.543909 | − | 0.942078i | ||||
\(969\) | 3.31280 | − | 13.8688i | 0.106422 | − | 0.445529i | ||||
\(970\) | −23.0395 | − | 47.9764i | −0.739754 | − | 1.54043i | ||||
\(971\) | −40.8653 | + | 29.6904i | −1.31143 | + | 0.952810i | −0.311434 | + | 0.950268i | \(0.600809\pi\) |
−0.999997 | + | 0.00254202i | \(0.999191\pi\) | |||||||
\(972\) | 7.23954 | + | 13.1533i | 0.232208 | + | 0.421894i | ||||
\(973\) | −14.1359 | − | 43.5059i | −0.453177 | − | 1.39473i | ||||
\(974\) | 21.3261 | + | 36.9380i | 0.683333 | + | 1.18357i | ||||
\(975\) | −4.82321 | − | 19.5354i | −0.154466 | − | 0.625634i | ||||
\(976\) | 27.0940 | − | 46.9281i | 0.867257 | − | 1.50213i | ||||
\(977\) | −23.3328 | − | 4.95954i | −0.746482 | − | 0.158670i | −0.181061 | − | 0.983472i | \(-0.557953\pi\) |
−0.565421 | + | 0.824802i | \(0.691286\pi\) | |||||||
\(978\) | 0.287922 | − | 11.4987i | 0.00920673 | − | 0.367688i | ||||
\(979\) | 22.8932 | + | 10.1927i | 0.731668 | + | 0.325760i | ||||
\(980\) | 8.91987 | − | 21.6966i | 0.284935 | − | 0.693072i | ||||
\(981\) | 8.48495 | − | 1.36382i | 0.270904 | − | 0.0435434i | ||||
\(982\) | −35.1227 | −1.12081 | ||||||||
\(983\) | −0.990622 | + | 9.42514i | −0.0315959 | + | 0.300615i | 0.967300 | + | 0.253635i | \(0.0816263\pi\) |
−0.998896 | + | 0.0469799i | \(0.985040\pi\) | |||||||
\(984\) | −6.13877 | + | 12.9082i | −0.195697 | + | 0.411499i | ||||
\(985\) | −10.8482 | − | 14.0605i | −0.345653 | − | 0.448006i | ||||
\(986\) | 10.1906 | + | 2.16607i | 0.324534 | + | 0.0689818i | ||||
\(987\) | −9.03134 | + | 18.9906i | −0.287471 | + | 0.604476i | ||||
\(988\) | 12.8487 | − | 2.73107i | 0.408771 | − | 0.0868869i | ||||
\(989\) | 4.69993 | + | 14.4649i | 0.149449 | + | 0.459957i | ||||
\(990\) | 36.0583 | + | 51.9142i | 1.14601 | + | 1.64994i | ||||
\(991\) | 8.47195 | − | 26.0740i | 0.269120 | − | 0.828268i | −0.721595 | − | 0.692316i | \(-0.756591\pi\) |
0.990715 | − | 0.135952i | \(-0.0434093\pi\) | |||||||
\(992\) | −1.66618 | + | 15.8526i | −0.0529012 | + | 0.503321i | ||||
\(993\) | −1.55196 | + | 2.02736i | −0.0492500 | + | 0.0643363i | ||||
\(994\) | 43.9322 | − | 19.5599i | 1.39345 | − | 0.620402i | ||||
\(995\) | 0.909425 | + | 31.5413i | 0.0288307 | + | 0.999928i | ||||
\(996\) | 9.71728 | + | 5.93945i | 0.307904 | + | 0.188199i | ||||
\(997\) | 23.2314 | + | 10.3433i | 0.735745 | + | 0.327575i | 0.740174 | − | 0.672416i | \(-0.234743\pi\) |
−0.00442921 | + | 0.999990i | \(0.501410\pi\) | |||||||
\(998\) | 11.4166 | + | 35.1366i | 0.361385 | + | 1.11223i | ||||
\(999\) | 14.4751 | + | 5.93756i | 0.457970 | + | 0.187856i |
(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 | 225.2.q.a.31.23 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.r.a.631.6 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.181.23 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.106.6 | yes | 224 | |
25.21 | even | 5 | inner | 225.2.q.a.121.6 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.496.23 | 224 | |||
225.146 | odd | 30 | 675.2.r.a.46.6 | 224 | |||
225.196 | even | 15 | inner | 225.2.q.a.196.23 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.23 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.106.6 | yes | 224 | 9.7 | even | 3 | inner | |
225.2.q.a.121.6 | yes | 224 | 25.21 | even | 5 | inner | |
225.2.q.a.196.23 | yes | 224 | 225.196 | even | 15 | inner | |
675.2.r.a.46.6 | 224 | 225.146 | odd | 30 | |||
675.2.r.a.181.23 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.496.23 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.631.6 | 224 | 3.2 | odd | 2 |