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 | 106.6 | ||
Character | \(\chi\) | \(=\) | 225.106 |
Dual form | 225.2.q.a.121.6 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.68376 | − | 0.357895i | −1.19060 | − | 0.253070i | −0.430327 | − | 0.902673i | \(-0.641602\pi\) |
−0.760274 | + | 0.649603i | \(0.774935\pi\) | |||||||
\(3\) | −0.402409 | − | 1.68466i | −0.232331 | − | 0.972637i | ||||
\(4\) | 0.879882 | + | 0.391749i | 0.439941 | + | 0.195874i | ||||
\(5\) | 1.96791 | + | 1.06176i | 0.880076 | + | 0.474833i | ||||
\(6\) | 0.0746324 | + | 2.98058i | 0.0304686 | + | 1.21682i | ||||
\(7\) | −2.11497 | + | 3.66323i | −0.799383 | + | 1.38457i | 0.120635 | + | 0.992697i | \(0.461507\pi\) |
−0.920018 | + | 0.391876i | \(0.871826\pi\) | |||||||
\(8\) | 1.44394 | + | 1.04909i | 0.510511 | + | 0.370908i | ||||
\(9\) | −2.67613 | + | 1.35584i | −0.892044 | + | 0.451948i | ||||
\(10\) | −2.93350 | − | 2.49206i | −0.927654 | − | 0.788057i | ||||
\(11\) | 5.35421 | + | 1.13807i | 1.61435 | + | 0.343142i | 0.924611 | − | 0.380912i | \(-0.124390\pi\) |
0.689743 | + | 0.724054i | \(0.257723\pi\) | |||||||
\(12\) | 0.305889 | − | 1.63994i | 0.0883026 | − | 0.473411i | ||||
\(13\) | −2.27272 | + | 0.483081i | −0.630338 | + | 0.133983i | −0.511992 | − | 0.858990i | \(-0.671092\pi\) |
−0.118346 | + | 0.992972i | \(0.537759\pi\) | |||||||
\(14\) | 4.87216 | − | 5.41109i | 1.30214 | − | 1.44617i | ||||
\(15\) | 0.996792 | − | 3.74251i | 0.257371 | − | 0.966313i | ||||
\(16\) | −3.34474 | − | 3.71472i | −0.836186 | − | 0.928679i | ||||
\(17\) | −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 | \(0.464874\pi\) | |||||||
\(20\) | 1.31559 | + | 1.70515i | 0.294174 | + | 0.381283i | ||||
\(21\) | 7.02237 | + | 2.08888i | 1.53241 | + | 0.455830i | ||||
\(22\) | −8.60791 | − | 3.83249i | −1.83521 | − | 0.817090i | ||||
\(23\) | 2.33826 | − | 2.59691i | 0.487562 | − | 0.541492i | −0.448289 | − | 0.893889i | \(-0.647966\pi\) |
0.935851 | + | 0.352396i | \(0.114633\pi\) | |||||||
\(24\) | 1.18629 | − | 2.85471i | 0.242151 | − | 0.582715i | ||||
\(25\) | 2.74534 | + | 4.17889i | 0.549068 | + | 0.835778i | ||||
\(26\) | 3.99961 | 0.784388 | ||||||||
\(27\) | 3.36103 | + | 3.96276i | 0.646831 | + | 0.762634i | ||||
\(28\) | −3.29599 | + | 2.39468i | −0.622884 | + | 0.452552i | ||||
\(29\) | 0.451070 | + | 4.29164i | 0.0837616 | + | 0.796938i | 0.953087 | + | 0.302698i | \(0.0978872\pi\) |
−0.869325 | + | 0.494241i | \(0.835446\pi\) | |||||||
\(30\) | −3.01779 | + | 5.94476i | −0.550971 | + | 1.08536i | ||||
\(31\) | 0.330923 | − | 3.14852i | 0.0594355 | − | 0.565491i | −0.923765 | − | 0.382961i | \(-0.874904\pi\) |
0.983200 | − | 0.182531i | \(-0.0584289\pi\) | |||||||
\(32\) | 2.51747 | + | 4.36039i | 0.445030 | + | 0.770815i | ||||
\(33\) | −0.237324 | − | 9.47797i | −0.0413128 | − | 1.64990i | ||||
\(34\) | 1.61546 | + | 1.79415i | 0.277049 | + | 0.307694i | ||||
\(35\) | −8.05154 | + | 4.96333i | −1.36096 | + | 0.838956i | ||||
\(36\) | −2.88583 | + | 0.144610i | −0.480972 | + | 0.0241017i | ||||
\(37\) | 0.930443 | − | 2.86361i | 0.152964 | − | 0.470775i | −0.844985 | − | 0.534790i | \(-0.820391\pi\) |
0.997949 | + | 0.0640154i | \(0.0203907\pi\) | |||||||
\(38\) | −6.76093 | − | 7.50877i | −1.09677 | − | 1.21808i | ||||
\(39\) | 1.72839 | + | 3.63435i | 0.276764 | + | 0.581962i | ||||
\(40\) | 1.72767 | + | 3.59763i | 0.273169 | + | 0.568835i | ||||
\(41\) | −4.52265 | + | 0.961319i | −0.706319 | + | 0.150133i | −0.547047 | − | 0.837102i | \(-0.684248\pi\) |
−0.159272 | + | 0.987235i | \(0.550915\pi\) | |||||||
\(42\) | −11.0764 | − | 6.03045i | −1.70913 | − | 0.930518i | ||||
\(43\) | −2.17619 | + | 3.76927i | −0.331866 | + | 0.574809i | −0.982878 | − | 0.184259i | \(-0.941011\pi\) |
0.651012 | + | 0.759068i | \(0.274345\pi\) | |||||||
\(44\) | 4.26523 | + | 3.09887i | 0.643008 | + | 0.467173i | ||||
\(45\) | −6.70597 | − | 0.173229i | −0.999667 | − | 0.0258235i | ||||
\(46\) | −4.86650 | + | 3.53572i | −0.717527 | + | 0.521314i | ||||
\(47\) | 0.300021 | + | 2.85451i | 0.0437626 | + | 0.416374i | 0.994369 | + | 0.105974i | \(0.0337961\pi\) |
−0.950606 | + | 0.310399i | \(0.899537\pi\) | |||||||
\(48\) | −4.91206 | + | 7.12958i | −0.708995 | + | 1.02907i | ||||
\(49\) | −5.44619 | − | 9.43308i | −0.778027 | − | 1.34758i | ||||
\(50\) | −3.12690 | − | 8.01881i | −0.442210 | − | 1.13403i | ||||
\(51\) | −0.932197 | + | 2.24325i | −0.130534 | + | 0.314118i | ||||
\(52\) | −2.18897 | − | 0.465280i | −0.303555 | − | 0.0645227i | ||||
\(53\) | 4.61926 | − | 3.35609i | 0.634504 | − | 0.460994i | −0.223454 | − | 0.974715i | \(-0.571733\pi\) |
0.857958 | + | 0.513720i | \(0.171733\pi\) | |||||||
\(54\) | −4.24093 | − | 7.87525i | −0.577118 | − | 1.07169i | ||||
\(55\) | 9.32824 | + | 7.92450i | 1.25782 | + | 1.06854i | ||||
\(56\) | −6.89694 | + | 3.07072i | −0.921643 | + | 0.410342i | ||||
\(57\) | 3.90138 | − | 9.38833i | 0.516750 | − | 1.24351i | ||||
\(58\) | 0.776463 | − | 7.38755i | 0.101955 | − | 0.970033i | ||||
\(59\) | 11.3426 | − | 2.41094i | 1.47668 | − | 0.313877i | 0.601966 | − | 0.798522i | \(-0.294384\pi\) |
0.874711 | + | 0.484645i | \(0.161051\pi\) | |||||||
\(60\) | 2.34318 | − | 2.90248i | 0.302504 | − | 0.374708i | ||||
\(61\) | −10.6036 | − | 2.25387i | −1.35766 | − | 0.288579i | −0.529136 | − | 0.848537i | \(-0.677484\pi\) |
−0.828521 | + | 0.559958i | \(0.810817\pi\) | |||||||
\(62\) | −1.68404 | + | 5.18293i | −0.213873 | + | 0.658233i | ||||
\(63\) | 0.693168 | − | 12.6709i | 0.0873309 | − | 1.59638i | ||||
\(64\) | 0.411065 | + | 1.26513i | 0.0513831 | + | 0.158141i | ||||
\(65\) | −4.98542 | − | 1.46242i | −0.618365 | − | 0.181390i | ||||
\(66\) | −2.99252 | + | 16.0436i | −0.368354 | + | 1.97483i | ||||
\(67\) | −1.17916 | + | 11.2190i | −0.144058 | + | 1.37062i | 0.648683 | + | 0.761059i | \(0.275320\pi\) |
−0.792741 | + | 0.609559i | \(0.791347\pi\) | |||||||
\(68\) | −0.675418 | − | 1.16986i | −0.0819064 | − | 0.141866i | ||||
\(69\) | −5.31583 | − | 2.89415i | −0.639951 | − | 0.348415i | ||||
\(70\) | 15.3332 | − | 5.47547i | 1.83267 | − | 0.654444i | ||||
\(71\) | −5.34318 | + | 3.88205i | −0.634119 | + | 0.460714i | −0.857825 | − | 0.513942i | \(-0.828184\pi\) |
0.223706 | + | 0.974657i | \(0.428184\pi\) | |||||||
\(72\) | −5.28658 | − | 0.849733i | −0.623030 | − | 0.100142i | ||||
\(73\) | 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 | ||||
\(75\) | 5.93524 | − | 6.30658i | 0.685343 | − | 0.728221i | ||||
\(76\) | 2.82672 | + | 4.89603i | 0.324247 | + | 0.561613i | ||||
\(77\) | −15.4930 | + | 17.2067i | −1.76559 | + | 1.96089i | ||||
\(78\) | −1.60948 | − | 6.73797i | −0.182238 | − | 0.762925i | ||||
\(79\) | 0.299995 | + | 2.85427i | 0.0337521 | + | 0.321130i | 0.998351 | + | 0.0574078i | \(0.0182835\pi\) |
−0.964599 | + | 0.263722i | \(0.915050\pi\) | |||||||
\(80\) | −2.63803 | − | 10.8615i | −0.294940 | − | 1.21436i | ||||
\(81\) | 5.32338 | − | 7.25683i | 0.591486 | − | 0.806315i | ||||
\(82\) | 7.95913 | 0.878938 | ||||||||
\(83\) | 6.23662 | − | 2.77672i | 0.684558 | − | 0.304785i | −0.0348298 | − | 0.999393i | \(-0.511089\pi\) |
0.719388 | + | 0.694608i | \(0.244422\pi\) | |||||||
\(84\) | 5.36055 | + | 4.58897i | 0.584884 | + | 0.500698i | ||||
\(85\) | −1.35762 | − | 2.82704i | −0.147254 | − | 0.306635i | ||||
\(86\) | 5.01319 | − | 5.56772i | 0.540587 | − | 0.600382i | ||||
\(87\) | 7.04843 | − | 2.48690i | 0.755671 | − | 0.266623i | ||||
\(88\) | 6.53724 | + | 7.26034i | 0.696872 | + | 0.773955i | ||||
\(89\) | −1.41471 | − | 4.35403i | −0.149959 | − | 0.461526i | 0.847656 | − | 0.530545i | \(-0.178013\pi\) |
−0.997615 | + | 0.0690197i | \(0.978013\pi\) | |||||||
\(90\) | 11.2293 | + | 2.69171i | 1.18367 | + | 0.283731i | ||||
\(91\) | 3.03709 | − | 9.34720i | 0.318373 | − | 0.979852i | ||||
\(92\) | 3.07473 | − | 1.36896i | 0.320563 | − | 0.142724i | ||||
\(93\) | −5.43734 | + | 0.709504i | −0.563826 | + | 0.0735721i | ||||
\(94\) | 0.516451 | − | 4.91370i | 0.0532679 | − | 0.506810i | ||||
\(95\) | 5.68183 | + | 11.8316i | 0.582943 | + | 1.21389i | ||||
\(96\) | 6.33270 | − | 5.99573i | 0.646328 | − | 0.611937i | ||||
\(97\) | −1.44531 | − | 13.7512i | −0.146749 | − | 1.39623i | −0.781691 | − | 0.623666i | \(-0.785643\pi\) |
0.634942 | − | 0.772560i | \(-0.281024\pi\) | |||||||
\(98\) | 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 | −0.996623 | − | 0.0821135i | \(-0.973833\pi\) |
0.569424 | + | 0.822044i | \(0.307166\pi\) | |||||||
\(102\) | 2.37245 | − | 3.44348i | 0.234907 | − | 0.340955i | ||||
\(103\) | 0.0160907 | + | 0.00716406i | 0.00158547 | + | 0.000705896i | 0.407529 | − | 0.913192i | \(-0.366390\pi\) |
−0.405944 | + | 0.913898i | \(0.633057\pi\) | |||||||
\(104\) | −3.78847 | − | 1.68673i | −0.371490 | − | 0.165398i | ||||
\(105\) | 11.6015 | + | 11.5668i | 1.13219 | + | 1.12880i | ||||
\(106\) | −8.97887 | + | 3.99765i | −0.872105 | + | 0.388286i | ||||
\(107\) | 3.33334 | 0.322246 | 0.161123 | − | 0.986934i | \(-0.448488\pi\) | ||||
0.161123 | + | 0.986934i | \(0.448488\pi\) | |||||||
\(108\) | 1.40490 | + | 4.80344i | 0.135187 | + | 0.462211i | ||||
\(109\) | 0.885216 | − | 2.72442i | 0.0847883 | − | 0.260952i | −0.899670 | − | 0.436571i | \(-0.856193\pi\) |
0.984458 | + | 0.175619i | \(0.0561928\pi\) | |||||||
\(110\) | −12.8704 | − | 16.6815i | −1.22715 | − | 1.59052i | ||||
\(111\) | −5.19862 | − | 0.415133i | −0.493431 | − | 0.0394027i | ||||
\(112\) | 20.6819 | − | 4.39607i | 1.95426 | − | 0.415390i | ||||
\(113\) | 7.87550 | − | 1.67399i | 0.740864 | − | 0.157476i | 0.178007 | − | 0.984029i | \(-0.443035\pi\) |
0.562858 | + | 0.826554i | \(0.309702\pi\) | |||||||
\(114\) | −9.92904 | + | 14.4114i | −0.929940 | + | 1.34976i | ||||
\(115\) | 7.35878 | − | 2.62780i | 0.686210 | − | 0.245044i | ||||
\(116\) | −1.28436 | + | 3.95285i | −0.119250 | + | 0.367013i | ||||
\(117\) | 5.42711 | − | 4.37424i | 0.501737 | − | 0.404398i | ||||
\(118\) | −19.9611 | −1.83757 | ||||||||
\(119\) | 5.41966 | − | 2.41299i | 0.496820 | − | 0.221198i | ||||
\(120\) | 5.36553 | − | 4.35826i | 0.489804 | − | 0.397852i | ||||
\(121\) | 17.3233 | + | 7.71285i | 1.57485 | + | 0.701168i | ||||
\(122\) | 17.0474 | + | 7.58998i | 1.54340 | + | 0.687165i | ||||
\(123\) | 3.43945 | + | 7.23227i | 0.310125 | + | 0.652111i | ||||
\(124\) | 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 | \(0.967664\pi\) | |||||||
\(128\) | −1.29194 | − | 12.2920i | −0.114193 | − | 1.08647i | ||||
\(129\) | 7.22565 | + | 2.14934i | 0.636183 | + | 0.189239i | ||||
\(130\) | 7.87087 | + | 4.24662i | 0.690321 | + | 0.372453i | ||||
\(131\) | 1.92495 | − | 18.3147i | 0.168184 | − | 1.60016i | −0.506623 | − | 0.862168i | \(-0.669106\pi\) |
0.674807 | − | 0.737995i | \(-0.264227\pi\) | |||||||
\(132\) | 3.50417 | − | 8.43247i | 0.304999 | − | 0.733952i | ||||
\(133\) | −22.6821 | + | 10.0987i | −1.96679 | + | 0.875670i | ||||
\(134\) | 6.00065 | − | 18.4681i | 0.518377 | − | 1.59540i | ||||
\(135\) | 2.40671 | + | 11.3670i | 0.207137 | + | 0.978312i | ||||
\(136\) | −0.773540 | − | 2.38071i | −0.0663305 | − | 0.204144i | ||||
\(137\) | −11.0852 | − | 12.3114i | −0.947074 | − | 1.05183i | −0.998586 | − | 0.0531595i | \(-0.983071\pi\) |
0.0515124 | − | 0.998672i | \(-0.483596\pi\) | |||||||
\(138\) | 7.91481 | + | 6.77558i | 0.673753 | + | 0.576776i | ||||
\(139\) | −7.23633 | + | 8.03676i | −0.613778 | + | 0.681669i | −0.967265 | − | 0.253770i | \(-0.918329\pi\) |
0.353487 | + | 0.935440i | \(0.384996\pi\) | |||||||
\(140\) | −9.02878 | + | 1.21296i | −0.763071 | + | 0.102514i | ||||
\(141\) | 4.68814 | − | 1.65412i | 0.394813 | − | 0.139302i | ||||
\(142\) | 10.3860 | − | 4.62415i | 0.871575 | − | 0.388050i | ||||
\(143\) | −12.7184 | −1.06356 | ||||||||
\(144\) | 13.9876 | + | 5.40612i | 1.16563 | + | 0.450510i | ||||
\(145\) | −3.66902 | + | 8.92450i | −0.304696 | + | 0.741139i | ||||
\(146\) | −0.699721 | − | 6.65740i | −0.0579094 | − | 0.550971i | ||||
\(147\) | −13.6999 | + | 12.9709i | −1.12995 | + | 1.06982i | ||||
\(148\) | 1.94050 | − | 2.15514i | 0.159508 | − | 0.177151i | ||||
\(149\) | −4.92744 | − | 8.53458i | −0.403672 | − | 0.699180i | 0.590494 | − | 0.807042i | \(-0.298933\pi\) |
−0.994166 | + | 0.107862i | \(0.965600\pi\) | |||||||
\(150\) | −12.2506 | + | 8.49459i | −1.00026 | + | 0.693581i | ||||
\(151\) | 9.07209 | − | 15.7133i | 0.738276 | − | 1.27873i | −0.214994 | − | 0.976615i | \(-0.568973\pi\) |
0.953271 | − | 0.302117i | \(-0.0976934\pi\) | |||||||
\(152\) | 3.23738 | + | 9.96363i | 0.262586 | + | 0.808157i | ||||
\(153\) | 4.15423 | + | 0.667726i | 0.335850 | + | 0.0539825i | ||||
\(154\) | 32.2448 | − | 23.4272i | 2.59836 | − | 1.88782i | ||||
\(155\) | 3.99420 | − | 5.84465i | 0.320822 | − | 0.469453i | ||||
\(156\) | 0.0970255 | + | 3.87489i | 0.00776826 | + | 0.310240i | ||||
\(157\) | −1.33107 | − | 2.30547i | −0.106231 | − | 0.183997i | 0.808010 | − | 0.589169i | \(-0.200545\pi\) |
−0.914240 | + | 0.405172i | \(0.867212\pi\) | |||||||
\(158\) | 0.516406 | − | 4.91328i | 0.0410831 | − | 0.390879i | ||||
\(159\) | −7.51269 | − | 6.43134i | −0.595795 | − | 0.510038i | ||||
\(160\) | 0.324478 | + | 11.2538i | 0.0256522 | + | 0.889691i | ||||
\(161\) | 4.56772 | + | 14.0580i | 0.359986 | + | 1.10792i | ||||
\(162\) | −11.5605 | + | 10.3136i | −0.908279 | + | 0.810312i | ||||
\(163\) | 1.19215 | − | 3.66905i | 0.0933761 | − | 0.287382i | −0.893451 | − | 0.449161i | \(-0.851723\pi\) |
0.986827 | + | 0.161779i | \(0.0517230\pi\) | |||||||
\(164\) | −4.35599 | − | 0.925895i | −0.340146 | − | 0.0723003i | ||||
\(165\) | 9.59628 | − | 18.9038i | 0.747070 | − | 1.47166i | ||||
\(166\) | −11.4948 | + | 2.44329i | −0.892168 | + | 0.189636i | ||||
\(167\) | 1.09890 | − | 10.4554i | 0.0850358 | − | 0.809061i | −0.866013 | − | 0.500021i | \(-0.833326\pi\) |
0.951049 | − | 0.309040i | \(-0.100008\pi\) | |||||||
\(168\) | 7.94850 | + | 10.3833i | 0.613240 | + | 0.801089i | ||||
\(169\) | −6.94422 | + | 3.09176i | −0.534170 | + | 0.237828i | ||||
\(170\) | 1.27412 | + | 5.24595i | 0.0977209 | + | 0.402346i | ||||
\(171\) | −17.3861 | − | 2.79453i | −1.32955 | − | 0.213703i | ||||
\(172\) | −3.39140 | + | 2.46399i | −0.258592 | + | 0.187878i | ||||
\(173\) | −6.01334 | − | 1.27818i | −0.457186 | − | 0.0971779i | −0.0264386 | − | 0.999650i | \(-0.508417\pi\) |
−0.430747 | + | 0.902473i | \(0.641750\pi\) | |||||||
\(174\) | −12.7579 | + | 1.66475i | −0.967177 | + | 0.126204i | ||||
\(175\) | −21.1146 | + | 1.21860i | −1.59611 | + | 0.0921172i | ||||
\(176\) | −13.6808 | − | 23.6959i | −1.03123 | − | 1.78615i | ||||
\(177\) | −8.62596 | − | 18.1381i | −0.648367 | − | 1.36335i | ||||
\(178\) | 0.823751 | + | 7.83747i | 0.0617428 | + | 0.587443i | ||||
\(179\) | 5.82725 | − | 4.23375i | 0.435549 | − | 0.316445i | −0.348315 | − | 0.937378i | \(-0.613246\pi\) |
0.783864 | + | 0.620933i | \(0.213246\pi\) | |||||||
\(180\) | −5.83260 | − | 2.77948i | −0.434736 | − | 0.207170i | ||||
\(181\) | −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 | ||||
\(183\) | 0.470004 | + | 18.7705i | 0.0347437 | + | 1.38755i | ||||
\(184\) | 6.10070 | − | 1.29674i | 0.449749 | − | 0.0955972i | ||||
\(185\) | 4.87149 | − | 4.64742i | 0.358159 | − | 0.341685i | ||||
\(186\) | 9.40913 | + | 0.751362i | 0.689911 | + | 0.0550925i | ||||
\(187\) | −5.13700 | − | 5.70522i | −0.375655 | − | 0.417207i | ||||
\(188\) | −0.854269 | + | 2.62917i | −0.0623039 | + | 0.191752i | ||||
\(189\) | −21.6250 | + | 3.93113i | −1.57299 | + | 0.285948i | ||||
\(190\) | −5.33240 | − | 21.9551i | −0.386853 | − | 1.59279i | ||||
\(191\) | −7.18086 | − | 7.97515i | −0.519589 | − | 0.577062i | 0.425052 | − | 0.905169i | \(-0.360256\pi\) |
−0.944641 | + | 0.328107i | \(0.893589\pi\) | |||||||
\(192\) | 1.96589 | − | 1.20160i | 0.141876 | − | 0.0867182i | ||||
\(193\) | 7.49531 | + | 12.9823i | 0.539524 | + | 0.934483i | 0.998930 | + | 0.0462566i | \(0.0147292\pi\) |
−0.459405 | + | 0.888227i | \(0.651937\pi\) | |||||||
\(194\) | −2.48793 | + | 23.6711i | −0.178623 | + | 1.69949i | ||||
\(195\) | −0.457490 | + | 8.98720i | −0.0327615 | + | 0.643587i | ||||
\(196\) | −1.09661 | − | 10.4335i | −0.0783292 | − | 0.745253i | ||||
\(197\) | 6.42527 | − | 4.66823i | 0.457782 | − | 0.332598i | −0.334879 | − | 0.942261i | \(-0.608695\pi\) |
0.792660 | + | 0.609663i | \(0.208695\pi\) | |||||||
\(198\) | 28.2322 | − | 1.41473i | 2.00637 | − | 0.100540i | ||||
\(199\) | −14.1116 | −1.00034 | −0.500172 | − | 0.865926i | \(-0.666730\pi\) | ||||
−0.500172 | + | 0.865926i | \(0.666730\pi\) | |||||||
\(200\) | −0.419902 | + | 8.91418i | −0.0296916 | + | 0.630327i | ||||
\(201\) | 19.3746 | − | 2.52814i | 1.36658 | − | 0.178321i | ||||
\(202\) | 9.89028 | − | 10.9843i | 0.695878 | − | 0.772851i | ||||
\(203\) | −16.6753 | − | 7.42432i | −1.17038 | − | 0.521085i | ||||
\(204\) | −1.69901 | + | 1.60861i | −0.118955 | + | 0.112625i | ||||
\(205\) | −9.92085 | − | 2.91017i | −0.692903 | − | 0.203255i | ||||
\(206\) | −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 | ||||
\(209\) | 21.4991 | + | 23.8772i | 1.48712 | + | 1.65162i | ||||
\(210\) | −15.3945 | − | 23.6279i | −1.06232 | − | 1.63048i | ||||
\(211\) | 4.89947 | − | 5.44141i | 0.337293 | − | 0.374602i | −0.550507 | − | 0.834830i | \(-0.685566\pi\) |
0.887801 | + | 0.460228i | \(0.152232\pi\) | |||||||
\(212\) | 5.37915 | − | 1.14337i | 0.369441 | − | 0.0785272i | ||||
\(213\) | 8.69006 | + | 7.43925i | 0.595433 | + | 0.509729i | ||||
\(214\) | −5.61255 | − | 1.19299i | −0.383666 | − | 0.0815508i | ||||
\(215\) | −8.28460 | + | 5.10700i | −0.565005 | + | 0.348294i | ||||
\(216\) | 0.695861 | + | 9.24801i | 0.0473474 | + | 0.629247i | ||||
\(217\) | 10.8339 | + | 7.87128i | 0.735452 | + | 0.534337i | ||||
\(218\) | −2.46555 | + | 4.27046i | −0.166988 | + | 0.289232i | ||||
\(219\) | 5.74705 | − | 3.51274i | 0.388349 | − | 0.237369i | ||||
\(220\) | 5.10334 | + | 10.6270i | 0.344067 | + | 0.716469i | ||||
\(221\) | 2.97700 | + | 1.32545i | 0.200255 | + | 0.0891592i | ||||
\(222\) | 8.60467 | + | 2.55955i | 0.577508 | + | 0.171786i | ||||
\(223\) | 19.8964 | + | 4.22911i | 1.33236 | + | 0.283202i | 0.818419 | − | 0.574622i | \(-0.194851\pi\) |
0.513943 | + | 0.857825i | \(0.328184\pi\) | |||||||
\(224\) | −21.2975 | −1.42300 | ||||||||
\(225\) | −13.0128 | − | 7.46102i | −0.867521 | − | 0.497401i | ||||
\(226\) | −13.8596 | −0.921926 | ||||||||
\(227\) | 21.2885 | + | 4.52501i | 1.41297 | + | 0.300335i | 0.850278 | − | 0.526333i | \(-0.176434\pi\) |
0.562689 | + | 0.826669i | \(0.309767\pi\) | |||||||
\(228\) | 7.11062 | − | 6.73226i | 0.470912 | − | 0.445855i | ||||
\(229\) | −17.1567 | − | 7.63866i | −1.13375 | − | 0.504777i | −0.247915 | − | 0.968782i | \(-0.579745\pi\) |
−0.885833 | + | 0.464005i | \(0.846412\pi\) | |||||||
\(230\) | −13.3309 | + | 1.79093i | −0.879015 | + | 0.118091i | ||||
\(231\) | 35.2220 | + | 19.1762i | 2.31744 | + | 1.26170i | ||||
\(232\) | −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 | \(0.767242\pi\) | |||||||
\(234\) | −10.7035 | + | 5.42285i | −0.699709 | + | 0.354503i | ||||
\(235\) | −2.44039 | + | 5.93598i | −0.159193 | + | 0.387220i | ||||
\(236\) | 10.9246 | + | 2.32210i | 0.711131 | + | 0.151156i | ||||
\(237\) | 4.68773 | − | 1.65397i | 0.304501 | − | 0.107437i | ||||
\(238\) | −9.98903 | + | 2.12323i | −0.647493 | + | 0.137629i | ||||
\(239\) | −11.7685 | + | 13.0702i | −0.761238 | + | 0.845440i | −0.991824 | − | 0.127612i | \(-0.959269\pi\) |
0.230586 | + | 0.973052i | \(0.425936\pi\) | |||||||
\(240\) | −17.2364 | + | 8.81495i | −1.11260 | + | 0.569003i | ||||
\(241\) | 5.08374 | + | 5.64606i | 0.327472 | + | 0.363695i | 0.884289 | − | 0.466941i | \(-0.154644\pi\) |
−0.556816 | + | 0.830636i | \(0.687977\pi\) | |||||||
\(242\) | −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 | ||||
\(245\) | −0.701962 | − | 24.3460i | −0.0448467 | − | 1.55541i | ||||
\(246\) | −3.20283 | − | 13.4084i | −0.204205 | − | 0.854888i | ||||
\(247\) | −12.4592 | − | 5.54719i | −0.792759 | − | 0.352959i | ||||
\(248\) | 3.78091 | − | 4.19912i | 0.240088 | − | 0.266644i | ||||
\(249\) | −7.18750 | − | 9.38919i | −0.455489 | − | 0.595016i | ||||
\(250\) | 2.36058 | − | 19.1003i | 0.149296 | − | 1.20801i | ||||
\(251\) | 25.9812 | 1.63992 | 0.819959 | − | 0.572422i | \(-0.193996\pi\) | ||||
0.819959 | + | 0.572422i | \(0.193996\pi\) | |||||||
\(252\) | 5.57370 | − | 10.8773i | 0.351110 | − | 0.685207i | ||||
\(253\) | 15.4750 | − | 11.2433i | 0.972906 | − | 0.706858i | ||||
\(254\) | 0.855612 | + | 8.14061i | 0.0536859 | + | 0.510787i | ||||
\(255\) | −4.21627 | + | 3.42475i | −0.264033 | + | 0.214466i | ||||
\(256\) | −1.94583 | + | 18.5133i | −0.121614 | + | 1.15708i | ||||
\(257\) | 0.478674 | + | 0.829088i | 0.0298589 | + | 0.0517171i | 0.880569 | − | 0.473919i | \(-0.157161\pi\) |
−0.850710 | + | 0.525636i | \(0.823828\pi\) | |||||||
\(258\) | −11.3970 | − | 6.20501i | −0.709549 | − | 0.386307i | ||||
\(259\) | 8.52222 | + | 9.46488i | 0.529545 | + | 0.588119i | ||||
\(260\) | −3.81368 | − | 3.23978i | −0.236514 | − | 0.200923i | ||||
\(261\) | −7.02592 | − | 10.8734i | −0.434894 | − | 0.673048i | ||||
\(262\) | −9.79591 | + | 30.1487i | −0.605193 | + | 1.86259i | ||||
\(263\) | −3.53512 | − | 3.92615i | −0.217985 | − | 0.242097i | 0.624227 | − | 0.781243i | \(-0.285414\pi\) |
−0.842213 | + | 0.539146i | \(0.818747\pi\) | |||||||
\(264\) | 9.60053 | − | 13.9346i | 0.590872 | − | 0.857617i | ||||
\(265\) | 12.6536 | − | 1.69994i | 0.777307 | − | 0.104427i | ||||
\(266\) | 41.8056 | − | 8.88605i | 2.56326 | − | 0.544838i | ||||
\(267\) | −6.76574 | + | 4.13540i | −0.414057 | + | 0.253082i | ||||
\(268\) | −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 | \(0.520765\pi\) | |||||||
\(270\) | 0.0158415 | − | 20.0006i | 0.000964082 | − | 1.21720i | ||||
\(271\) | −10.8922 | + | 7.91361i | −0.661651 | + | 0.480718i | −0.867220 | − | 0.497925i | \(-0.834096\pi\) |
0.205569 | + | 0.978643i | \(0.434096\pi\) | |||||||
\(272\) | 0.732816 | + | 6.97227i | 0.0444335 | + | 0.422756i | ||||
\(273\) | −16.9690 | − | 1.35505i | −1.02701 | − | 0.0820113i | ||||
\(274\) | 14.2587 | + | 24.6968i | 0.861400 | + | 1.49199i | ||||
\(275\) | 9.94324 | + | 25.4990i | 0.599600 | + | 1.53765i | ||||
\(276\) | −3.54353 | − | 4.62898i | −0.213295 | − | 0.278632i | ||||
\(277\) | 25.7950 | + | 5.48290i | 1.54987 | + | 0.329436i | 0.901804 | − | 0.432146i | \(-0.142244\pi\) |
0.648069 | + | 0.761582i | \(0.275577\pi\) | |||||||
\(278\) | 15.0606 | − | 10.9422i | 0.903274 | − | 0.656267i | ||||
\(279\) | 3.38331 | + | 8.87454i | 0.202553 | + | 0.531305i | ||||
\(280\) | −16.8329 | − | 1.27999i | −1.00596 | − | 0.0764942i | ||||
\(281\) | 22.9358 | − | 10.2117i | 1.36823 | − | 0.609176i | 0.414559 | − | 0.910022i | \(-0.363936\pi\) |
0.953673 | + | 0.300846i | \(0.0972690\pi\) | |||||||
\(282\) | −8.48573 | + | 1.10728i | −0.505318 | + | 0.0659375i | ||||
\(283\) | 1.50697 | − | 14.3378i | 0.0895798 | − | 0.852295i | −0.853805 | − | 0.520593i | \(-0.825711\pi\) |
0.943385 | − | 0.331701i | \(-0.107623\pi\) | |||||||
\(284\) | −6.22215 | + | 1.32256i | −0.369217 | + | 0.0784795i | ||||
\(285\) | 17.6457 | − | 14.3331i | 1.04524 | − | 0.849017i | ||||
\(286\) | 21.4148 | + | 4.55185i | 1.26628 | + | 0.269156i | ||||
\(287\) | 6.04373 | − | 18.6007i | 0.356750 | − | 1.09796i | ||||
\(288\) | −12.6491 | − | 8.25568i | −0.745355 | − | 0.486471i | ||||
\(289\) | −4.64544 | − | 14.2972i | −0.273261 | − | 0.841011i | ||||
\(290\) | 9.37180 | − | 13.7136i | 0.550331 | − | 0.805292i | ||||
\(291\) | −22.5845 | + | 7.96848i | −1.32393 | + | 0.467120i | ||||
\(292\) | −0.391510 | + | 3.72497i | −0.0229114 | + | 0.217987i | ||||
\(293\) | 3.34662 | + | 5.79652i | 0.195512 | + | 0.338636i | 0.947068 | − | 0.321033i | \(-0.104030\pi\) |
−0.751556 | + | 0.659669i | \(0.770697\pi\) | |||||||
\(294\) | 27.7096 | − | 16.9368i | 1.61606 | − | 0.987777i | ||||
\(295\) | 24.8810 | + | 7.29856i | 1.44863 | + | 0.424939i | ||||
\(296\) | 4.34768 | − | 3.15878i | 0.252704 | − | 0.183600i | ||||
\(297\) | 13.4858 | + | 25.0425i | 0.782523 | + | 1.45312i | ||||
\(298\) | 5.24217 | + | 16.1337i | 0.303671 | + | 0.934602i | ||||
\(299\) | −4.05970 | + | 7.03160i | −0.234778 | + | 0.406648i | ||||
\(300\) | 7.69291 | − | 3.22392i | 0.444150 | − | 0.186133i | ||||
\(301\) | −9.20515 | − | 15.9438i | −0.530576 | − | 0.918985i | ||||
\(302\) | −20.8990 | + | 23.2107i | −1.20260 | + | 1.33562i | ||||
\(303\) | 14.2551 | + | 4.24033i | 0.818935 | + | 0.243601i | ||||
\(304\) | −3.06694 | − | 29.1800i | −0.175901 | − | 1.67359i | ||||
\(305\) | −18.4739 | − | 15.6939i | −1.05781 | − | 0.898631i | ||||
\(306\) | −6.75577 | − | 2.61107i | −0.386202 | − | 0.149265i | ||||
\(307\) | 3.26128 | 0.186131 | 0.0930657 | − | 0.995660i | \(-0.470333\pi\) | ||||
0.0930657 | + | 0.995660i | \(0.470333\pi\) | |||||||
\(308\) | −20.3727 | + | 9.07053i | −1.16084 | + | 0.516841i | ||||
\(309\) | 0.00559391 | − | 0.0299903i | 0.000318226 | − | 0.00170609i | ||||
\(310\) | −8.81706 | + | 8.41151i | −0.500775 | + | 0.477741i | ||||
\(311\) | −21.5663 | + | 23.9518i | −1.22291 | + | 1.35818i | −0.309629 | + | 0.950858i | \(0.600205\pi\) |
−0.913284 | + | 0.407324i | \(0.866462\pi\) | |||||||
\(312\) | −1.31705 | + | 7.06102i | −0.0745634 | + | 0.399752i | ||||
\(313\) | −13.7340 | − | 15.2532i | −0.776292 | − | 0.862159i | 0.217193 | − | 0.976129i | \(-0.430310\pi\) |
−0.993484 | + | 0.113969i | \(0.963643\pi\) | |||||||
\(314\) | 1.41608 | + | 4.35826i | 0.0799142 | + | 0.245951i | ||||
\(315\) | 14.8175 | − | 24.1992i | 0.834871 | − | 1.36347i | ||||
\(316\) | −0.854194 | + | 2.62894i | −0.0480522 | + | 0.147889i | ||||
\(317\) | −3.65413 | + | 1.62692i | −0.205236 | + | 0.0913771i | −0.506781 | − | 0.862075i | \(-0.669165\pi\) |
0.301544 | + | 0.953452i | \(0.402498\pi\) | |||||||
\(318\) | 10.3478 | + | 13.5176i | 0.580279 | + | 0.758030i | ||||
\(319\) | −2.46908 | + | 23.4917i | −0.138242 | + | 1.31528i | ||||
\(320\) | −0.534321 | + | 2.92611i | −0.0298695 | + | 0.163575i | ||||
\(321\) | −1.34137 | − | 5.61553i | −0.0748678 | − | 0.313428i | ||||
\(322\) | −2.65967 | − | 25.3051i | −0.148218 | − | 1.41020i | ||||
\(323\) | −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 | ||||
\(327\) | −4.94592 | − | 0.394954i | −0.273510 | − | 0.0218410i | ||||
\(328\) | −7.53895 | − | 3.35656i | −0.416269 | − | 0.185335i | ||||
\(329\) | −11.0913 | − | 4.93816i | −0.611483 | − | 0.272250i | ||||
\(330\) | −22.9234 | + | 28.3950i | −1.26189 | + | 1.56310i | ||||
\(331\) | 1.34664 | − | 0.599564i | 0.0740181 | − | 0.0329550i | −0.369394 | − | 0.929273i | \(-0.620435\pi\) |
0.443412 | + | 0.896318i | \(0.353768\pi\) | |||||||
\(332\) | 6.57527 | 0.360865 | ||||||||
\(333\) | 1.39262 | + | 8.92494i | 0.0763149 | + | 0.489084i | ||||
\(334\) | −5.59222 | + | 17.2111i | −0.305993 | + | 0.941749i | ||||
\(335\) | −14.2323 | + | 20.8260i | −0.777596 | + | 1.13784i | ||||
\(336\) | −15.7285 | − | 33.0729i | −0.858058 | − | 1.80427i | ||||
\(337\) | 9.11619 | − | 1.93771i | 0.496590 | − | 0.105554i | 0.0471935 | − | 0.998886i | \(-0.484972\pi\) |
0.449397 | + | 0.893332i | \(0.351639\pi\) | |||||||
\(338\) | 12.7990 | − | 2.72050i | 0.696171 | − | 0.147976i | ||||
\(339\) | −5.98927 | − | 12.5939i | −0.325292 | − | 0.684005i | ||||
\(340\) | −0.0870549 | − | 3.01930i | −0.00472122 | − | 0.163745i | ||||
\(341\) | 5.35508 | − | 16.4812i | 0.289994 | − | 0.892509i | ||||
\(342\) | 28.2739 | + | 10.9277i | 1.52888 | + | 0.590903i | ||||
\(343\) | 16.4645 | 0.889001 | ||||||||
\(344\) | −7.09658 | + | 3.15960i | −0.382622 | + | 0.170354i | ||||
\(345\) | −7.38819 | − | 11.3396i | −0.397767 | − | 0.610501i | ||||
\(346\) | 9.66760 | + | 4.30429i | 0.519733 | + | 0.231400i | ||||
\(347\) | −6.09966 | − | 2.71574i | −0.327447 | − | 0.145789i | 0.236428 | − | 0.971649i | \(-0.424023\pi\) |
−0.563875 | + | 0.825860i | \(0.690690\pi\) | |||||||
\(348\) | 7.17603 | + | 0.573038i | 0.384675 | + | 0.0307181i | ||||
\(349\) | 2.17204 | − | 3.76209i | 0.116267 | − | 0.201380i | −0.802019 | − | 0.597299i | \(-0.796241\pi\) |
0.918285 | + | 0.395919i | \(0.129574\pi\) | |||||||
\(350\) | 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 | ||||
\(353\) | 0.483612 | + | 4.60126i | 0.0257401 | + | 0.244900i | 0.999825 | + | 0.0187171i | \(0.00595818\pi\) |
−0.974085 | + | 0.226183i | \(0.927375\pi\) | |||||||
\(354\) | 8.03253 | + | 33.6276i | 0.426924 | + | 1.78728i | ||||
\(355\) | −14.6367 | + | 1.96635i | −0.776835 | + | 0.104363i | ||||
\(356\) | 0.460907 | − | 4.38524i | 0.0244280 | − | 0.232417i | ||||
\(357\) | −6.24598 | − | 8.15926i | −0.330572 | − | 0.431834i | ||||
\(358\) | −11.3270 | + | 5.04309i | −0.598648 | + | 0.266535i | ||||
\(359\) | −2.78646 | + | 8.57585i | −0.147064 | + | 0.452616i | −0.997271 | − | 0.0738329i | \(-0.976477\pi\) |
0.850207 | + | 0.526449i | \(0.176477\pi\) | |||||||
\(360\) | −9.50130 | − | 7.28527i | −0.500763 | − | 0.383967i | ||||
\(361\) | 4.77550 | + | 14.6975i | 0.251342 | + | 0.773551i | ||||
\(362\) | 26.1589 | + | 29.0524i | 1.37488 | + | 1.52696i | ||||
\(363\) | 6.02242 | − | 32.2876i | 0.316095 | − | 1.69466i | ||||
\(364\) | 6.33403 | − | 7.03465i | 0.331993 | − | 0.368716i | ||||
\(365\) | −1.56203 | + | 8.55414i | −0.0817601 | + | 0.447744i | ||||
\(366\) | 5.92648 | − | 31.7733i | 0.309782 | − | 1.66081i | ||||
\(367\) | −8.45692 | + | 3.76527i | −0.441448 | + | 0.196545i | −0.615410 | − | 0.788207i | \(-0.711010\pi\) |
0.173962 | + | 0.984752i | \(0.444343\pi\) | |||||||
\(368\) | −17.4677 | −0.910565 | ||||||||
\(369\) | 10.7998 | − | 8.70462i | 0.562216 | − | 0.453144i | ||||
\(370\) | −9.86573 | + | 6.08168i | −0.512895 | + | 0.316171i | ||||
\(371\) | 2.52455 | + | 24.0194i | 0.131068 | + | 1.24703i | ||||
\(372\) | −5.06217 | − | 1.50579i | −0.262461 | − | 0.0780717i | ||||
\(373\) | −3.62568 | + | 4.02673i | −0.187731 | + | 0.208496i | −0.829662 | − | 0.558266i | \(-0.811467\pi\) |
0.641931 | + | 0.766762i | \(0.278133\pi\) | |||||||
\(374\) | 6.60763 | + | 11.4448i | 0.341673 | + | 0.591794i | ||||
\(375\) | 18.3761 | − | 6.10898i | 0.948937 | − | 0.315466i | ||||
\(376\) | −2.56142 | + | 4.43650i | −0.132095 | + | 0.228795i | ||||
\(377\) | −3.09837 | − | 9.53579i | −0.159574 | − | 0.491118i | ||||
\(378\) | 37.8183 | + | 1.12039i | 1.94516 | + | 0.0576265i | ||||
\(379\) | 7.21488 | − | 5.24191i | 0.370603 | − | 0.269259i | −0.386858 | − | 0.922139i | \(-0.626440\pi\) |
0.757461 | + | 0.652880i | \(0.226440\pi\) | |||||||
\(380\) | 0.364338 | + | 12.6362i | 0.0186901 | + | 0.648225i | ||||
\(381\) | −7.02743 | + | 4.29535i | −0.360026 | + | 0.220057i | ||||
\(382\) | 9.23661 | + | 15.9983i | 0.472586 | + | 0.818543i | ||||
\(383\) | 1.92865 | − | 18.3499i | 0.0985493 | − | 0.937634i | −0.827814 | − | 0.561003i | \(-0.810416\pi\) |
0.926363 | − | 0.376631i | \(-0.122918\pi\) | |||||||
\(384\) | −20.1879 | + | 7.12290i | −1.03021 | + | 0.363489i | ||||
\(385\) | −48.7582 | + | 17.4115i | −2.48495 | + | 0.887370i | ||||
\(386\) | −7.97405 | − | 24.5416i | −0.405868 | − | 1.24913i | ||||
\(387\) | 0.713232 | − | 13.0376i | 0.0362556 | − | 0.662741i | ||||
\(388\) | 4.11532 | − | 12.6657i | 0.208924 | − | 0.643001i | ||||
\(389\) | 12.3953 | + | 2.63469i | 0.628465 | + | 0.133584i | 0.511123 | − | 0.859507i | \(-0.329230\pi\) |
0.117341 | + | 0.993092i | \(0.462563\pi\) | |||||||
\(390\) | 3.98678 | − | 14.9686i | 0.201879 | − | 0.757964i | ||||
\(391\) | −4.79397 | + | 1.01899i | −0.242441 | + | 0.0515325i | ||||
\(392\) | 2.03212 | − | 19.3344i | 0.102638 | − | 0.976532i | ||||
\(393\) | −31.6286 | + | 4.12712i | −1.59545 | + | 0.208186i | ||||
\(394\) | −12.4894 | + | 5.56063i | −0.629206 | + | 0.280140i | ||||
\(395\) | −2.44018 | + | 5.93546i | −0.122779 | + | 0.298645i | ||||
\(396\) | −15.6159 | − | 2.51001i | −0.784730 | − | 0.126133i | ||||
\(397\) | 5.05655 | − | 3.67380i | 0.253781 | − | 0.184383i | −0.453620 | − | 0.891195i | \(-0.649868\pi\) |
0.707401 | + | 0.706813i | \(0.249868\pi\) | |||||||
\(398\) | 23.7606 | + | 5.05047i | 1.19101 | + | 0.253157i | ||||
\(399\) | 26.1403 | + | 34.1477i | 1.30865 | + | 1.70952i | ||||
\(400\) | 6.34093 | − | 24.1755i | 0.317046 | − | 1.20877i | ||||
\(401\) | 13.3637 | + | 23.1466i | 0.667352 | + | 1.15589i | 0.978642 | + | 0.205572i | \(0.0659056\pi\) |
−0.311290 | + | 0.950315i | \(0.600761\pi\) | |||||||
\(402\) | −33.5271 | − | 2.67729i | −1.67218 | − | 0.133531i | ||||
\(403\) | 0.768897 | + | 7.31556i | 0.0383015 | + | 0.364414i | ||||
\(404\) | −6.69072 | + | 4.86109i | −0.332876 | + | 0.241848i | ||||
\(405\) | 18.1809 | − | 8.62866i | 0.903418 | − | 0.428761i | ||||
\(406\) | 25.4201 | + | 18.4688i | 1.26158 | + | 0.916592i | ||||
\(407\) | 8.24078 | − | 14.2735i | 0.408480 | − | 0.707509i | ||||
\(408\) | −3.69940 | + | 2.26117i | −0.183148 | + | 0.111945i | ||||
\(409\) | −23.4005 | + | 4.97392i | −1.15708 | + | 0.245945i | −0.746185 | − | 0.665739i | \(-0.768117\pi\) |
−0.410893 | + | 0.911683i | \(0.634783\pi\) | |||||||
\(410\) | 15.6628 | + | 8.45067i | 0.773533 | + | 0.417349i | ||||
\(411\) | −16.2796 | + | 23.6290i | −0.803016 | + | 1.16553i | ||||
\(412\) | 0.0113514 | + | 0.0126071i | 0.000559246 | + | 0.000621105i | ||||
\(413\) | −15.1574 | + | 46.6496i | −0.745845 | + | 2.29547i | ||||
\(414\) | 8.22953 | − | 16.0603i | 0.404459 | − | 0.789320i | ||||
\(415\) | 15.2213 | + | 1.15744i | 0.747185 | + | 0.0568167i | ||||
\(416\) | −7.82792 | − | 8.69378i | −0.383795 | − | 0.426248i | ||||
\(417\) | 16.4511 | + | 8.95666i | 0.805616 | + | 0.438610i | ||||
\(418\) | −27.6539 | − | 47.8980i | −1.35260 | − | 2.34277i | ||||
\(419\) | 1.31148 | − | 12.4779i | 0.0640699 | − | 0.609584i | −0.914631 | − | 0.404291i | \(-0.867518\pi\) |
0.978700 | − | 0.205294i | \(-0.0658150\pi\) | |||||||
\(420\) | 5.67670 | + | 14.7223i | 0.276994 | + | 0.718374i | ||||
\(421\) | 0.123363 | + | 1.17372i | 0.00601232 | + | 0.0572034i | 0.997117 | − | 0.0758835i | \(-0.0241777\pi\) |
−0.991104 | + | 0.133087i | \(0.957511\pi\) | |||||||
\(422\) | −10.1970 | + | 7.40856i | −0.496382 | + | 0.360643i | ||||
\(423\) | −4.67317 | − | 7.23228i | −0.227217 | − | 0.351645i | ||||
\(424\) | 10.1908 | 0.494908 | ||||||||
\(425\) | 0.329962 | − | 7.00482i | 0.0160055 | − | 0.339784i | ||||
\(426\) | −11.9695 | − | 15.6361i | −0.579926 | − | 0.757570i | ||||
\(427\) | 30.6828 | − | 34.0767i | 1.48485 | − | 1.64909i | ||||
\(428\) | 2.93294 | + | 1.30583i | 0.141769 | + | 0.0631197i | ||||
\(429\) | 5.11800 | + | 21.4261i | 0.247099 | + | 1.03446i | ||||
\(430\) | 15.7771 | − | 5.63396i | 0.760839 | − | 0.271694i | ||||
\(431\) | −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 | \(0.540353\pi\) | |||||||
\(434\) | −15.4246 | − | 17.1308i | −0.740405 | − | 0.822303i | ||||
\(435\) | 16.5112 | + | 2.58974i | 0.791649 | + | 0.124169i | ||||
\(436\) | 1.84617 | − | 2.05038i | 0.0884156 | − | 0.0981955i | ||||
\(437\) | 20.0635 | − | 4.26462i | 0.959765 | − | 0.204004i | ||||
\(438\) | −10.9339 | + | 3.85779i | −0.522440 | + | 0.184332i | ||||
\(439\) | 22.1767 | + | 4.71380i | 1.05844 | + | 0.224977i | 0.704071 | − | 0.710130i | \(-0.251364\pi\) |
0.354365 | + | 0.935107i | \(0.384697\pi\) | |||||||
\(440\) | 5.15597 | + | 21.2287i | 0.245801 | + | 1.01204i | ||||
\(441\) | 27.3645 | + | 17.8600i | 1.30307 | + | 0.850476i | ||||
\(442\) | −4.53820 | − | 3.29719i | −0.215860 | − | 0.156832i | ||||
\(443\) | 2.48298 | − | 4.30064i | 0.117970 | − | 0.204330i | −0.800993 | − | 0.598673i | \(-0.795695\pi\) |
0.918963 | + | 0.394344i | \(0.129028\pi\) | |||||||
\(444\) | −4.41154 | − | 2.40182i | −0.209363 | − | 0.113985i | ||||
\(445\) | 1.83890 | − | 10.0704i | 0.0871724 | − | 0.477383i | ||||
\(446\) | −31.9873 | − | 14.2416i | −1.51464 | − | 0.674362i | ||||
\(447\) | −12.3950 | + | 11.7354i | −0.586263 | + | 0.555067i | ||||
\(448\) | −5.50385 | − | 1.16988i | −0.260032 | − | 0.0552716i | ||||
\(449\) | 17.7685 | 0.838548 | 0.419274 | − | 0.907860i | \(-0.362285\pi\) | ||||
0.419274 | + | 0.907860i | \(0.362285\pi\) | |||||||
\(450\) | 19.2402 | + | 17.2198i | 0.906994 | + | 0.811750i | ||||
\(451\) | −25.3093 | −1.19177 | ||||||||
\(452\) | 7.58529 | + | 1.61230i | 0.356782 | + | 0.0758364i | ||||
\(453\) | −30.1222 | − | 8.96017i | −1.41527 | − | 0.420985i | ||||
\(454\) | −34.2253 | − | 15.2381i | −1.60627 | − | 0.715159i | ||||
\(455\) | 15.9012 | − | 15.1698i | 0.745459 | − | 0.711170i | ||||
\(456\) | 15.4825 | − | 9.46333i | 0.725036 | − | 0.443161i | ||||
\(457\) | −10.0171 | + | 17.3501i | −0.468579 | + | 0.811602i | −0.999355 | − | 0.0359099i | \(-0.988567\pi\) |
0.530776 | + | 0.847512i | \(0.321900\pi\) | |||||||
\(458\) | 26.1540 | + | 19.0020i | 1.22210 | + | 0.887906i | ||||
\(459\) | −0.546812 | − | 7.26715i | −0.0255230 | − | 0.339201i | ||||
\(460\) | 7.50430 | + | 0.570634i | 0.349890 | + | 0.0266060i | ||||
\(461\) | 12.3278 | + | 2.62035i | 0.574161 | + | 0.122042i | 0.485836 | − | 0.874050i | \(-0.338515\pi\) |
0.0883252 | + | 0.996092i | \(0.471849\pi\) | |||||||
\(462\) | −52.4424 | − | 44.8940i | −2.43984 | − | 2.08866i | ||||
\(463\) | 24.3569 | − | 5.17722i | 1.13196 | − | 0.240606i | 0.396409 | − | 0.918074i | \(-0.370256\pi\) |
0.735552 | + | 0.677469i | \(0.236923\pi\) | |||||||
\(464\) | 14.4335 | − | 16.0300i | 0.670059 | − | 0.744176i | ||||
\(465\) | −11.4535 | − | 4.37691i | −0.531145 | − | 0.202974i | ||||
\(466\) | 7.37307 | + | 8.18862i | 0.341551 | + | 0.379331i | ||||
\(467\) | −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 | ||||
\(470\) | 6.23350 | − | 9.12138i | 0.287530 | − | 0.420738i | ||||
\(471\) | −3.34830 | + | 3.17013i | −0.154281 | + | 0.146072i | ||||
\(472\) | 18.9073 | + | 8.41808i | 0.870279 | + | 0.387473i | ||||
\(473\) | −15.9415 | + | 17.7048i | −0.732990 | + | 0.814068i | ||||
\(474\) | −8.48499 | + | 1.10718i | −0.389728 | + | 0.0508546i | ||||
\(475\) | −1.38094 | + | 29.3162i | −0.0633618 | + | 1.34512i | ||||
\(476\) | 5.71395 | 0.261899 | ||||||||
\(477\) | −7.81142 | + | 15.2443i | −0.357660 | + | 0.697990i | ||||
\(478\) | 24.4931 | − | 17.7952i | 1.12029 | − | 0.813936i | ||||
\(479\) | −0.763778 | − | 7.26686i | −0.0348979 | − | 0.332031i | −0.998016 | − | 0.0629539i | \(-0.979948\pi\) |
0.963119 | − | 0.269078i | \(-0.0867188\pi\) | |||||||
\(480\) | 18.8282 | − | 5.07527i | 0.859386 | − | 0.231653i | ||||
\(481\) | −0.731279 | + | 6.95766i | −0.0333435 | + | 0.317242i | ||||
\(482\) | −6.53911 | − | 11.3261i | −0.297849 | − | 0.515889i | ||||
\(483\) | 21.8448 | − | 13.3521i | 0.993972 | − | 0.607541i | ||||
\(484\) | 12.2210 | + | 13.5728i | 0.555500 | + | 0.616945i | ||||
\(485\) | 11.7562 | − | 28.5957i | 0.533823 | − | 1.29847i | ||||
\(486\) | 22.0269 | + | 15.3252i | 0.999161 | + | 0.695164i | ||||
\(487\) | −7.65681 | + | 23.5652i | −0.346963 | + | 1.06784i | 0.613561 | + | 0.789647i | \(0.289736\pi\) |
−0.960524 | + | 0.278195i | \(0.910264\pi\) | |||||||
\(488\) | −12.9465 | − | 14.3786i | −0.586063 | − | 0.650889i | ||||
\(489\) | −6.66082 | − | 0.531897i | −0.301213 | − | 0.0240532i | ||||
\(490\) | −7.53137 | + | 41.2441i | −0.340233 | + | 1.86322i | ||||
\(491\) | 19.9579 | − | 4.24219i | 0.900690 | − | 0.191447i | 0.265780 | − | 0.964034i | \(-0.414371\pi\) |
0.634910 | + | 0.772586i | \(0.281037\pi\) | |||||||
\(492\) | 0.193078 | + | 7.71094i | 0.00870465 | + | 0.347636i | ||||
\(493\) | 3.02613 | − | 5.24141i | 0.136290 | − | 0.236061i | ||||
\(494\) | 18.9930 | + | 13.7992i | 0.854537 | + | 0.620857i | ||||
\(495\) | −35.7080 | − | 8.55938i | −1.60496 | − | 0.384715i | ||||
\(496\) | −12.8027 | + | 9.30172i | −0.574859 | + | 0.417659i | ||||
\(497\) | −2.92019 | − | 27.7837i | −0.130988 | − | 1.24627i | ||||
\(498\) | 8.74171 | + | 18.3815i | 0.391726 | + | 0.823697i | ||||
\(499\) | −10.7311 | − | 18.5869i | −0.480392 | − | 0.832064i | 0.519355 | − | 0.854559i | \(-0.326172\pi\) |
−0.999747 | + | 0.0224950i | \(0.992839\pi\) | |||||||
\(500\) | −3.51390 | + | 10.1789i | −0.157146 | + | 0.455214i | ||||
\(501\) | −18.0559 | + | 2.35607i | −0.806679 | + | 0.105261i | ||||
\(502\) | −43.7462 | − | 9.29854i | −1.95249 | − | 0.415014i | ||||
\(503\) | −8.58020 | + | 6.23388i | −0.382572 | + | 0.277955i | −0.762405 | − | 0.647100i | \(-0.775981\pi\) |
0.379833 | + | 0.925055i | \(0.375981\pi\) | |||||||
\(504\) | 14.2937 | − | 17.5688i | 0.636693 | − | 0.782578i | ||||
\(505\) | −16.3443 | + | 10.0753i | −0.727311 | + | 0.448347i | ||||
\(506\) | −30.0802 | + | 13.3926i | −1.33723 | + | 0.595372i | ||||
\(507\) | 8.00298 | + | 10.4545i | 0.355425 | + | 0.464299i | ||||
\(508\) | 0.478734 | − | 4.55485i | 0.0212404 | − | 0.202089i | ||||
\(509\) | −4.48811 | + | 0.953978i | −0.198932 | + | 0.0422843i | −0.306300 | − | 0.951935i | \(-0.599091\pi\) |
0.107368 | + | 0.994219i | \(0.465758\pi\) | |||||||
\(510\) | 8.32490 | − | 4.25748i | 0.368633 | − | 0.188524i | ||||
\(511\) | −16.0899 | − | 3.42000i | −0.711773 | − | 0.151292i | ||||
\(512\) | 2.26343 | − | 6.96611i | 0.100030 | − | 0.307861i | ||||
\(513\) | 2.28849 | + | 30.4141i | 0.101039 | + | 1.34281i | ||||
\(514\) | −0.509248 | − | 1.56730i | −0.0224620 | − | 0.0691308i | ||||
\(515\) | 0.0240586 | + | 0.0311827i | 0.00106015 | + | 0.00137407i | ||||
\(516\) | 5.51571 | + | 4.72180i | 0.242816 | + | 0.207866i | ||||
\(517\) | −1.64226 | + | 15.6251i | −0.0722267 | + | 0.687191i | ||||
\(518\) | −10.9620 | − | 18.9867i | −0.481641 | − | 0.834227i | ||||
\(519\) | 0.266540 | + | 10.6448i | 0.0116998 | + | 0.467253i | ||||
\(520\) | −5.66446 | − | 7.34178i | −0.248403 | − | 0.321958i | ||||
\(521\) | 9.38013 | − | 6.81506i | 0.410951 | − | 0.298573i | −0.363036 | − | 0.931775i | \(-0.618260\pi\) |
0.773987 | + | 0.633202i | \(0.218260\pi\) | |||||||
\(522\) | 7.93844 | + | 20.8228i | 0.347456 | + | 0.911391i | ||||
\(523\) | −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 | ||||
\(525\) | 10.5496 | + | 35.0804i | 0.460423 | + | 1.53103i | ||||
\(526\) | 4.54717 | + | 7.87592i | 0.198266 | + | 0.343407i | ||||
\(527\) | −2.97106 | + | 3.29970i | −0.129421 | + | 0.143737i | ||||
\(528\) | −34.4142 | + | 32.5830i | −1.49768 | + | 1.41799i | ||||
\(529\) | 1.12772 | + | 10.7295i | 0.0490311 | + | 0.466500i | ||||
\(530\) | −21.9141 | − | 1.66637i | −0.951890 | − | 0.0723827i | ||||
\(531\) | −27.0854 | + | 21.8307i | −1.17541 | + | 0.947373i | ||||
\(532\) | −23.9137 | −1.03679 | ||||||||
\(533\) | 9.81431 | − | 4.36961i | 0.425105 | − | 0.189269i | ||||
\(534\) | 12.8720 | − | 4.54161i | 0.557024 | − | 0.196535i | ||||
\(535\) | 6.55971 | + | 3.53920i | 0.283601 | + | 0.153013i | ||||
\(536\) | −13.4723 | + | 14.9625i | −0.581916 | + | 0.646283i | ||||
\(537\) | −9.47735 | − | 8.11322i | −0.408978 | − | 0.350111i | ||||
\(538\) | −20.1683 | − | 22.3991i | −0.869516 | − | 0.965695i | ||||
\(539\) | −18.4245 | − | 56.7048i | −0.793600 | − | 2.44245i | ||||
\(540\) | −2.33537 | + | 10.9444i | −0.100498 | + | 0.470972i | ||||
\(541\) | 6.73533 | − | 20.7292i | 0.289575 | − | 0.891219i | −0.695416 | − | 0.718608i | \(-0.744780\pi\) |
0.984990 | − | 0.172611i | \(-0.0552203\pi\) | |||||||
\(542\) | 21.1721 | − | 9.42641i | 0.909418 | − | 0.404899i | ||||
\(543\) | −15.0949 | + | 36.3246i | −0.647785 | + | 1.55884i | ||||
\(544\) | 0.738137 | − | 7.02291i | 0.0316474 | − | 0.301105i | ||||
\(545\) | 4.63470 | − | 4.42152i | 0.198529 | − | 0.189397i | ||||
\(546\) | 28.0868 | + | 8.35469i | 1.20200 | + | 0.357548i | ||||
\(547\) | −3.48938 | − | 33.1992i | −0.149195 | − | 1.41950i | −0.771255 | − | 0.636526i | \(-0.780371\pi\) |
0.622060 | − | 0.782969i | \(-0.286296\pi\) | |||||||
\(548\) | −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 | ||||
\(552\) | −4.63955 | − | 9.75576i | −0.197472 | − | 0.415233i | ||||
\(553\) | −11.0903 | − | 4.93773i | −0.471609 | − | 0.209974i | ||||
\(554\) | −41.4704 | − | 18.4638i | −1.76191 | − | 0.784453i | ||||
\(555\) | −9.78964 | − | 6.33662i | −0.415547 | − | 0.268975i | ||||
\(556\) | −9.51551 | + | 4.23658i | −0.403548 | + | 0.179671i | ||||
\(557\) | 0.351013 | 0.0148729 | 0.00743646 | − | 0.999972i | \(-0.497633\pi\) | ||||
0.00743646 | + | 0.999972i | \(0.497633\pi\) | |||||||
\(558\) | −2.52054 | − | 16.1535i | −0.106703 | − | 0.683833i | ||||
\(559\) | 3.12500 | − | 9.61776i | 0.132173 | − | 0.406788i | ||||
\(560\) | 45.3677 | + | 13.3081i | 1.91713 | + | 0.562370i | ||||
\(561\) | −7.54416 | + | 10.9499i | −0.318515 | + | 0.462306i | ||||
\(562\) | −42.2731 | + | 8.98542i | −1.78318 | + | 0.379027i | ||||
\(563\) | −6.71206 | + | 1.42669i | −0.282879 | + | 0.0601279i | −0.347166 | − | 0.937804i | \(-0.612856\pi\) |
0.0642869 | + | 0.997931i | \(0.479523\pi\) | |||||||
\(564\) | 4.77301 | + | 0.381147i | 0.200980 | + | 0.0160492i | ||||
\(565\) | 17.2756 | + | 5.06762i | 0.726792 | + | 0.213196i | ||||
\(566\) | −7.66881 | + | 23.6022i | −0.322344 | + | 0.992073i | ||||
\(567\) | 15.3247 | + | 34.8488i | 0.643577 | + | 1.46351i | ||||
\(568\) | −11.7878 | −0.494607 | ||||||||
\(569\) | 13.8450 | − | 6.16417i | 0.580411 | − | 0.258416i | −0.0954629 | − | 0.995433i | \(-0.530433\pi\) |
0.675874 | + | 0.737017i | \(0.263766\pi\) | |||||||
\(570\) | −34.8409 | + | 17.8182i | −1.45933 | + | 0.746322i | ||||
\(571\) | 36.1997 | + | 16.1171i | 1.51491 | + | 0.674481i | 0.984839 | − | 0.173473i | \(-0.0554989\pi\) |
0.530070 | + | 0.847954i | \(0.322166\pi\) | |||||||
\(572\) | −11.1907 | − | 4.98241i | −0.467906 | − | 0.208325i | ||||
\(573\) | −10.5457 | + | 15.3066i | −0.440555 | + | 0.639441i | ||||
\(574\) | −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 | \(0.977128\pi\) | |||||||
\(578\) | 2.70493 | + | 25.7357i | 0.112510 | + | 1.07046i | ||||
\(579\) | 18.8545 | − | 17.8512i | 0.783564 | − | 0.741871i | ||||
\(580\) | −6.72447 | + | 6.41517i | −0.279218 | + | 0.266375i | ||||
\(581\) | −3.01848 | + | 28.7189i | −0.125228 | + | 1.19146i | ||||
\(582\) | 40.8788 | − | 5.33416i | 1.69448 | − | 0.221108i | ||||
\(583\) | 28.5519 | − | 12.7121i | 1.18250 | − | 0.526483i | ||||
\(584\) | −2.14481 | + | 6.60104i | −0.0887528 | + | 0.273153i | ||||
\(585\) | 15.3244 | − | 2.84582i | 0.633588 | − | 0.117660i | ||||
\(586\) | −3.56038 | − | 10.9577i | −0.147078 | − | 0.452659i | ||||
\(587\) | −26.2637 | − | 29.1688i | −1.08402 | − | 1.20393i | −0.977791 | − | 0.209583i | \(-0.932789\pi\) |
−0.106228 | − | 0.994342i | \(-0.533877\pi\) | |||||||
\(588\) | −17.1356 | + | 6.04596i | −0.706662 | + | 0.249331i | ||||
\(589\) | 12.4343 | − | 13.8097i | 0.512347 | − | 0.569019i | ||||
\(590\) | −39.2816 | − | 21.1938i | −1.61720 | − | 0.872537i | ||||
\(591\) | −10.4500 | − | 8.94583i | −0.429854 | − | 0.367982i | ||||
\(592\) | −13.7496 | + | 6.12171i | −0.565105 | + | 0.251601i | ||||
\(593\) | −2.11729 | −0.0869465 | −0.0434733 | − | 0.999055i | \(-0.513842\pi\) | ||||
−0.0434733 | + | 0.999055i | \(0.513842\pi\) | |||||||
\(594\) | −13.7442 | − | 46.9922i | −0.563933 | − | 1.92811i | ||||
\(595\) | 13.2274 | + | 1.00583i | 0.542271 | + | 0.0412349i | ||||
\(596\) | −0.992157 | − | 9.43975i | −0.0406403 | − | 0.386667i | ||||
\(597\) | 5.67863 | + | 23.7732i | 0.232411 | + | 0.972971i | ||||
\(598\) | 9.35215 | − | 10.3866i | 0.382438 | − | 0.424740i | ||||
\(599\) | −1.13371 | − | 1.96364i | −0.0463219 | − | 0.0802320i | 0.841935 | − | 0.539579i | \(-0.181417\pi\) |
−0.888257 | + | 0.459347i | \(0.848083\pi\) | |||||||
\(600\) | 15.1863 | − | 2.87976i | 0.619978 | − | 0.117566i | ||||
\(601\) | 17.8254 | − | 30.8745i | 0.727113 | − | 1.25940i | −0.230985 | − | 0.972957i | \(-0.574195\pi\) |
0.958098 | − | 0.286440i | \(-0.0924718\pi\) | |||||||
\(602\) | 9.79310 | + | 30.1401i | 0.399137 | + | 1.22842i | ||||
\(603\) | −12.0556 | − | 31.6223i | −0.490942 | − | 1.28776i | ||||
\(604\) | 14.1380 | − | 10.2719i | 0.575269 | − | 0.417957i | ||||
\(605\) | 25.9016 | + | 33.5714i | 1.05305 | + | 1.36487i | ||||
\(606\) | −22.4847 | − | 12.2416i | −0.913377 | − | 0.497279i | ||||
\(607\) | −12.5954 | − | 21.8159i | −0.511231 | − | 0.885478i | −0.999915 | − | 0.0130175i | \(-0.995856\pi\) |
0.488684 | − | 0.872461i | \(-0.337477\pi\) | |||||||
\(608\) | −3.08921 | + | 29.3919i | −0.125284 | + | 1.19200i | ||||
\(609\) | −5.79713 | + | 31.0798i | −0.234912 | + | 1.25942i | ||||
\(610\) | 25.4890 | + | 33.0366i | 1.03202 | + | 1.33761i | ||||
\(611\) | −2.06082 | − | 6.34257i | −0.0833720 | − | 0.256593i | ||||
\(612\) | 3.39365 | + | 2.21493i | 0.137180 | + | 0.0895334i | ||||
\(613\) | −13.2971 | + | 40.9242i | −0.537063 | + | 1.65291i | 0.202085 | + | 0.979368i | \(0.435228\pi\) |
−0.739148 | + | 0.673543i | \(0.764772\pi\) | |||||||
\(614\) | −5.49123 | − | 1.16720i | −0.221608 | − | 0.0471043i | ||||
\(615\) | −0.910393 | + | 17.8843i | −0.0367106 | + | 0.721165i | ||||
\(616\) | −40.4224 | + | 8.59204i | −1.62866 | + | 0.346183i | ||||
\(617\) | −3.34729 | + | 31.8474i | −0.134757 | + | 1.28213i | 0.692958 | + | 0.720978i | \(0.256307\pi\) |
−0.827715 | + | 0.561149i | \(0.810360\pi\) | |||||||
\(618\) | −0.0201522 | + | 0.0484945i | −0.000810640 | + | 0.00195073i | ||||
\(619\) | −11.9559 | + | 5.32313i | −0.480550 | + | 0.213955i | −0.632691 | − | 0.774404i | \(-0.718050\pi\) |
0.152141 | + | 0.988359i | \(0.451383\pi\) | |||||||
\(620\) | 5.80406 | − | 3.57788i | 0.233096 | − | 0.143691i | ||||
\(621\) | 18.1499 | + | 0.537700i | 0.728330 | + | 0.0215771i | ||||
\(622\) | 44.8848 | − | 32.6107i | 1.79972 | − | 1.30757i | ||||
\(623\) | 18.9419 | + | 4.02622i | 0.758890 | + | 0.161307i | ||||
\(624\) | 7.71956 | − | 18.5764i | 0.309030 | − | 0.743653i | ||||
\(625\) | −9.92623 | + | 22.9449i | −0.397049 | + | 0.917797i | ||||
\(626\) | 17.6658 | + | 30.5980i | 0.706067 | + | 1.22294i | ||||
\(627\) | 31.5734 | − | 45.8270i | 1.26092 | − | 1.83015i | ||||
\(628\) | −0.268015 | − | 2.54999i | −0.0106949 | − | 0.101756i | ||||
\(629\) | −3.41644 | + | 2.48219i | −0.136222 | + | 0.0989713i | ||||
\(630\) | −33.6099 | + | 35.4426i | −1.33905 | + | 1.41207i | ||||
\(631\) | 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 | ||||
\(633\) | −11.1385 | − | 6.06424i | −0.442716 | − | 0.241032i | ||||
\(634\) | 6.73496 | − | 1.43156i | 0.267479 | − | 0.0568545i | ||||
\(635\) | 1.91003 | − | 10.4599i | 0.0757972 | − | 0.415089i | ||||
\(636\) | −4.09081 | − | 8.60191i | −0.162211 | − | 0.341088i | ||||
\(637\) | 16.9346 | + | 18.8078i | 0.670973 | + | 0.745191i | ||||
\(638\) | 12.5649 | − | 38.6708i | 0.497450 | − | 1.53099i | ||||
\(639\) | 9.03561 | − | 17.6334i | 0.357443 | − | 0.697566i | ||||
\(640\) | 10.5087 | − | 25.5613i | 0.415394 | − | 1.01040i | ||||
\(641\) | −1.78356 | − | 1.98084i | −0.0704464 | − | 0.0782386i | 0.706891 | − | 0.707322i | \(-0.250097\pi\) |
−0.777338 | + | 0.629084i | \(0.783430\pi\) | |||||||
\(642\) | 0.248775 | + | 9.93529i | 0.00981837 | + | 0.392115i | ||||
\(643\) | 19.1382 | + | 33.1483i | 0.754736 | + | 1.30724i | 0.945505 | + | 0.325607i | \(0.105569\pi\) |
−0.190769 | + | 0.981635i | \(0.561098\pi\) | |||||||
\(644\) | −1.48815 | + | 14.1588i | −0.0586412 | + | 0.557934i | ||||
\(645\) | 11.9373 | + | 11.9016i | 0.470032 | + | 0.468625i | ||||
\(646\) | 1.48128 | + | 14.0935i | 0.0582803 | + | 0.554500i | ||||
\(647\) | 29.1546 | − | 21.1821i | 1.14619 | − | 0.832753i | 0.158217 | − | 0.987404i | \(-0.449425\pi\) |
0.987969 | + | 0.154651i | \(0.0494254\pi\) | |||||||
\(648\) | 15.2997 | − | 4.89378i | 0.601029 | − | 0.192246i | ||||
\(649\) | 63.4743 | 2.49158 | ||||||||
\(650\) | 10.9803 | + | 16.7139i | 0.430682 | + | 0.655574i | ||||
\(651\) | 8.90074 | − | 21.4188i | 0.348847 | − | 0.839471i | ||||
\(652\) | 2.48629 | − | 2.76131i | 0.0973708 | − | 0.108141i | ||||
\(653\) | 25.9936 | + | 11.5731i | 1.01721 | + | 0.452890i | 0.846476 | − | 0.532428i | \(-0.178720\pi\) |
0.170732 | + | 0.985318i | \(0.445387\pi\) | |||||||
\(654\) | 8.18642 | + | 2.43513i | 0.320114 | + | 0.0952212i | ||||
\(655\) | 23.2339 | − | 33.9978i | 0.907824 | − | 1.32841i | ||||
\(656\) | 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 | ||||
\(659\) | −21.6918 | − | 24.0912i | −0.844993 | − | 0.938460i | 0.153774 | − | 0.988106i | \(-0.450857\pi\) |
−0.998767 | + | 0.0496464i | \(0.984191\pi\) | |||||||
\(660\) | 15.8491 | − | 12.8738i | 0.616926 | − | 0.501110i | ||||
\(661\) | 31.0769 | − | 34.5144i | 1.20875 | − | 1.34245i | 0.285443 | − | 0.958396i | \(-0.407859\pi\) |
0.923309 | − | 0.384059i | \(-0.125474\pi\) | |||||||
\(662\) | −2.48201 | + | 0.527567i | −0.0964660 | + | 0.0205045i | ||||
\(663\) | 1.03495 | − | 5.54860i | 0.0401941 | − | 0.215490i | ||||
\(664\) | 11.9184 | + | 2.53332i | 0.462522 | + | 0.0983120i | ||||
\(665\) | −55.3587 | − | 4.20953i | −2.14672 | − | 0.163239i | ||||
\(666\) | 0.849354 | − | 15.5259i | 0.0329118 | − | 0.601617i | ||||
\(667\) | 12.1997 | + | 8.86361i | 0.472375 | + | 0.343200i | ||||
\(668\) | 5.06279 | − | 8.76900i | 0.195885 | − | 0.339283i | ||||
\(669\) | −0.881903 | − | 35.2204i | −0.0340963 | − | 1.36170i | ||||
\(670\) | 31.4174 | − | 29.9723i | 1.21376 | − | 1.15793i | ||||
\(671\) | −54.2090 | − | 24.1354i | −2.09272 | − | 0.931737i | ||||
\(672\) | 8.57031 | + | 35.8790i | 0.330607 | + | 1.38406i | ||||
\(673\) | −5.72623 | − | 1.21715i | −0.220730 | − | 0.0469176i | 0.0962191 | − | 0.995360i | \(-0.469325\pi\) |
−0.316949 | + | 0.948443i | \(0.602658\pi\) | |||||||
\(674\) | −16.0430 | −0.617953 | ||||||||
\(675\) | −7.33277 | + | 24.9245i | −0.282238 | + | 0.959344i | ||||
\(676\) | −7.32129 | −0.281588 | ||||||||
\(677\) | −19.4462 | − | 4.13342i | −0.747379 | − | 0.158860i | −0.181549 | − | 0.983382i | \(-0.558111\pi\) |
−0.565830 | + | 0.824522i | \(0.691444\pi\) | |||||||
\(678\) | 5.57723 | + | 23.3486i | 0.214192 | + | 0.896699i | ||||
\(679\) | 53.4307 | + | 23.7889i | 2.05048 | + | 0.912934i | ||||
\(680\) | 1.00548 | − | 5.50634i | 0.0385585 | − | 0.211158i | ||||
\(681\) | −0.943608 | − | 37.6847i | −0.0361591 | − | 1.44408i | ||||
\(682\) | −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 | \(-0.630409\pi\) | |||||||
\(684\) | −14.2029 | − | 9.26982i | −0.543063 | − | 0.354441i | ||||
\(685\) | −8.74299 | − | 35.9975i | −0.334053 | − | 1.37539i | ||||
\(686\) | −27.7224 | − | 5.89258i | −1.05845 | − | 0.224980i | ||||
\(687\) | −5.96450 | + | 31.9770i | −0.227560 | + | 1.22000i | ||||
\(688\) | 21.2806 | − | 4.52332i | 0.811314 | − | 0.172450i | ||||
\(689\) | −8.87700 | + | 9.85891i | −0.338187 | + | 0.375595i | ||||
\(690\) | 8.38160 | + | 21.7373i | 0.319082 | + | 0.827526i | ||||
\(691\) | 0.672969 | + | 0.747407i | 0.0256009 | + | 0.0284327i | 0.755809 | − | 0.654792i | \(-0.227244\pi\) |
−0.730208 | + | 0.683225i | \(0.760577\pi\) | |||||||
\(692\) | −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 | ||||
\(695\) | −22.7735 | + | 8.13239i | −0.863850 | + | 0.308479i | ||||
\(696\) | 12.7865 | + | 3.80347i | 0.484671 | + | 0.144170i | ||||
\(697\) | 5.92416 | + | 2.63761i | 0.224394 | + | 0.0999065i | ||||
\(698\) | −5.00364 | + | 5.55710i | −0.189390 | + | 0.210339i | ||||
\(699\) | −4.25461 | + | 10.2384i | −0.160924 | + | 0.387250i | ||||
\(700\) | −19.0557 | − | 7.19938i | −0.720238 | − | 0.272111i | ||||
\(701\) | −8.14396 | −0.307593 | −0.153797 | − | 0.988103i | \(-0.549150\pi\) | ||||
−0.153797 | + | 0.988103i | \(0.549150\pi\) | |||||||
\(702\) | 13.4428 | + | 15.8495i | 0.507367 | + | 0.598201i | ||||
\(703\) | 14.2983 | − | 10.3883i | 0.539270 | − | 0.391803i | ||||
\(704\) | 0.761121 | + | 7.24158i | 0.0286858 | + | 0.272927i | ||||
\(705\) | 10.9821 | + | 1.72252i | 0.413610 | + | 0.0648739i | ||||
\(706\) | 0.832480 | − | 7.92052i | 0.0313308 | − | 0.298093i | ||||
\(707\) | −18.1604 | − | 31.4547i | −0.682992 | − | 1.18298i | ||||
\(708\) | −0.484231 | − | 19.3386i | −0.0181985 | − | 0.726791i | ||||
\(709\) | 27.5012 | + | 30.5431i | 1.03283 | + | 1.14707i | 0.988982 | + | 0.148033i | \(0.0472941\pi\) |
0.0438449 | + | 0.999038i | \(0.486039\pi\) | |||||||
\(710\) | 25.3485 | + | 1.92752i | 0.951312 | + | 0.0723387i | ||||
\(711\) | −4.67276 | − | 7.23165i | −0.175242 | − | 0.271208i | ||||
\(712\) | 2.52499 | − | 7.77112i | 0.0946279 | − | 0.291235i | ||||
\(713\) | −7.40263 | − | 8.22145i | −0.277231 | − | 0.307896i | ||||
\(714\) | 7.59660 | + | 15.9737i | 0.284296 | + | 0.597800i | ||||
\(715\) | −25.0286 | − | 13.5038i | −0.936018 | − | 0.505015i | ||||
\(716\) | 6.78586 | − | 1.44238i | 0.253600 | − | 0.0539042i | ||||
\(717\) | 26.7545 | + | 14.5662i | 0.999166 | + | 0.543986i | ||||
\(718\) | 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 | \(0.338122\pi\) | |||||||
\(720\) | 21.7862 | + | 25.4902i | 0.811926 | + | 0.949962i | ||||
\(721\) | −0.0602751 | + | 0.0437924i | −0.00224476 | + | 0.00163091i | ||||
\(722\) | −2.78066 | − | 26.4562i | −0.103485 | − | 0.984597i | ||||
\(723\) | 7.46593 | − | 10.8364i | 0.277661 | − | 0.403009i | ||||
\(724\) | −10.9369 | − | 18.9433i | −0.406468 | − | 0.704023i | ||||
\(725\) | −16.6960 | + | 13.6670i | −0.620073 | + | 0.507579i | ||||
\(726\) | −21.6959 | + | 52.2093i | −0.805211 | + | 1.93767i | ||||
\(727\) | −38.1966 | − | 8.11893i | −1.41663 | − | 0.301115i | −0.564929 | − | 0.825139i | \(-0.691097\pi\) |
−0.851703 | + | 0.524025i | \(0.824430\pi\) | |||||||
\(728\) | 14.1914 | − | 10.3107i | 0.525968 | − | 0.382138i | ||||
\(729\) | −4.40694 | + | 26.6379i | −0.163220 | + | 0.986590i | ||||
\(730\) | 5.69157 | − | 13.8441i | 0.210654 | − | 0.512393i | ||||
\(731\) | 5.57654 | − | 2.48284i | 0.206256 | − | 0.0918310i | ||||
\(732\) | −6.93976 | + | 16.6999i | −0.256501 | + | 0.617247i | ||||
\(733\) | −0.0804066 | + | 0.765018i | −0.00296989 | + | 0.0282566i | −0.995906 | − | 0.0903896i | \(-0.971189\pi\) |
0.992937 | + | 0.118646i | \(0.0378554\pi\) | |||||||
\(734\) | 15.5870 | − | 3.31313i | 0.575328 | − | 0.122290i | ||||
\(735\) | −40.7321 | + | 10.9796i | −1.50243 | + | 0.404989i | ||||
\(736\) | 17.2100 | + | 3.65810i | 0.634370 | + | 0.134839i | ||||
\(737\) | −19.0815 | + | 58.7268i | −0.702876 | + | 2.16323i | ||||
\(738\) | −21.2997 | + | 10.7913i | −0.784052 | + | 0.397234i | ||||
\(739\) | 16.0888 | + | 49.5162i | 0.591835 | + | 1.82148i | 0.569888 | + | 0.821723i | \(0.306987\pi\) |
0.0219476 | + | 0.999759i | \(0.493013\pi\) | |||||||
\(740\) | 6.10696 | − | 2.18078i | 0.224496 | − | 0.0801672i | ||||
\(741\) | −4.33141 | + | 23.2217i | −0.159118 | + | 0.853070i | ||||
\(742\) | 4.34570 | − | 41.3466i | 0.159536 | − | 1.51788i | ||||
\(743\) | 19.6551 | + | 34.0437i | 0.721076 | + | 1.24894i | 0.960569 | + | 0.278043i | \(0.0896857\pi\) |
−0.239492 | + | 0.970898i | \(0.576981\pi\) | |||||||
\(744\) | −8.59555 | − | 4.67976i | −0.315128 | − | 0.171568i | ||||
\(745\) | −0.635101 | − | 22.0270i | −0.0232683 | − | 0.807008i | ||||
\(746\) | 7.54594 | − | 5.48244i | 0.276276 | − | 0.200727i | ||||
\(747\) | −12.9252 | + | 15.8868i | −0.472910 | + | 0.581266i | ||||
\(748\) | −2.28494 | − | 7.03234i | −0.0835458 | − | 0.257128i | ||||
\(749\) | −7.04991 | + | 12.2108i | −0.257598 | + | 0.446173i | ||||
\(750\) | −33.1274 | + | 3.70938i | −1.20964 | + | 0.135447i | ||||
\(751\) | 19.8565 | + | 34.3925i | 0.724575 | + | 1.25500i | 0.959149 | + | 0.282903i | \(0.0912973\pi\) |
−0.234573 | + | 0.972098i | \(0.575369\pi\) | |||||||
\(752\) | 9.60021 | − | 10.6621i | 0.350084 | − | 0.388807i | ||||
\(753\) | −10.4551 | − | 43.7694i | −0.381004 | − | 1.59504i | ||||
\(754\) | 1.80410 | + | 17.1649i | 0.0657016 | + | 0.625109i | ||||
\(755\) | 34.5368 | − | 21.2900i | 1.25692 | − | 0.774824i | ||||
\(756\) | −20.5675 | − | 5.01264i | −0.748031 | − | 0.182308i | ||||
\(757\) | −30.6481 | −1.11392 | −0.556961 | − | 0.830538i | \(-0.688033\pi\) | ||||
−0.556961 | + | 0.830538i | \(0.688033\pi\) | |||||||
\(758\) | −14.0242 | + | 6.24398i | −0.509382 | + | 0.226792i | ||||
\(759\) | −25.1683 | − | 21.5457i | −0.913552 | − | 0.782059i | ||||
\(760\) | −4.20809 | + | 23.0448i | −0.152644 | + | 0.835924i | ||||
\(761\) | −12.5617 | + | 13.9511i | −0.455360 | + | 0.505729i | −0.926482 | − | 0.376340i | \(-0.877183\pi\) |
0.471122 | + | 0.882068i | \(0.343849\pi\) | |||||||
\(762\) | 13.3698 | − | 4.71727i | 0.484337 | − | 0.170889i | ||||
\(763\) | 8.10797 | + | 9.00481i | 0.293528 | + | 0.325996i | ||||
\(764\) | −3.19405 | − | 9.83029i | −0.115557 | − | 0.355647i | ||||
\(765\) | 7.46619 | + | 5.72481i | 0.269941 | + | 0.206981i | ||||
\(766\) | −9.81472 | + | 30.2066i | −0.354620 | + | 1.09141i | ||||
\(767\) | −24.6138 | + | 10.9588i | −0.888752 | + | 0.395698i | ||||
\(768\) | 31.9716 | − | 4.17189i | 1.15368 | − | 0.150540i | ||||
\(769\) | 3.95016 | − | 37.5833i | 0.142446 | − | 1.35529i | −0.656700 | − | 0.754152i | \(-0.728048\pi\) |
0.799147 | − | 0.601136i | \(-0.205285\pi\) | |||||||
\(770\) | 88.3289 | − | 11.8665i | 3.18315 | − | 0.427638i | ||||
\(771\) | 1.20411 | − | 1.14003i | 0.0433648 | − | 0.0410574i | ||||
\(772\) | 1.50921 | + | 14.3591i | 0.0543175 | + | 0.516796i | ||||
\(773\) | −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 | ||||
\(777\) | 12.5157 | − | 18.1658i | 0.448996 | − | 0.651693i | ||||
\(778\) | −19.9278 | − | 8.87241i | −0.714445 | − | 0.318091i | ||||
\(779\) | −24.7935 | − | 11.0388i | −0.888318 | − | 0.395505i | ||||
\(780\) | −3.92326 | + | 7.72846i | −0.140475 | + | 0.276723i | ||||
\(781\) | −33.0265 | + | 14.7044i | −1.18178 | + | 0.526164i | ||||
\(782\) | 8.43660 | 0.301692 | ||||||||
\(783\) | −15.4907 | + | 16.2118i | −0.553592 | + | 0.579364i | ||||
\(784\) | −16.8251 | + | 51.7823i | −0.600896 | + | 1.84937i | ||||
\(785\) | −0.171562 | − | 5.95023i | −0.00612330 | − | 0.212373i | ||||
\(786\) | 54.7322 | + | 4.37061i | 1.95223 | + | 0.155895i | ||||
\(787\) | 15.6555 | − | 3.32767i | 0.558057 | − | 0.118619i | 0.0797556 | − | 0.996814i | \(-0.474586\pi\) |
0.478301 | + | 0.878196i | \(0.341253\pi\) | |||||||
\(788\) | 7.48226 | − | 1.59040i | 0.266544 | − | 0.0566557i | ||||
\(789\) | −5.19165 | + | 7.53539i | −0.184828 | + | 0.268267i | ||||
\(790\) | 6.23295 | − | 9.12059i | 0.221759 | − | 0.324496i | ||||
\(791\) | −10.5242 | + | 32.3902i | −0.374198 | + | 1.15166i | ||||
\(792\) | −27.3384 | − | 10.5662i | −0.971428 | − | 0.375452i | ||||
\(793\) | 25.1879 | 0.894448 | ||||||||
\(794\) | −9.82887 | + | 4.37610i | −0.348814 | + | 0.155302i | ||||
\(795\) | −7.95576 | − | 20.6330i | −0.282162 | − | 0.731776i | ||||
\(796\) | −12.4165 | − | 5.52819i | −0.440092 | − | 0.195942i | ||||
\(797\) | −15.8206 | − | 7.04381i | −0.560396 | − | 0.249504i | 0.106934 | − | 0.994266i | \(-0.465897\pi\) |
−0.667331 | + | 0.744762i | \(0.732563\pi\) | |||||||
\(798\) | −31.7929 | − | 66.8522i | −1.12546 | − | 2.36654i | ||||
\(799\) | 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 | ||||
\(803\) | 2.22505 | + | 21.1699i | 0.0785202 | + | 0.747070i | ||||
\(804\) | 18.0378 | + | 5.36552i | 0.636144 | + | 0.189227i | ||||
\(805\) | −5.93733 | + | 32.5147i | −0.209263 | + | 1.14599i | ||||
\(806\) | 1.32356 | − | 12.5929i | 0.0466205 | − | 0.443565i | ||||
\(807\) | 11.6381 | − | 28.0060i | 0.409679 | − | 0.985857i | ||||
\(808\) | −14.0005 | + | 6.23342i | −0.492536 | + | 0.219291i | ||||
\(809\) | 3.76845 | − | 11.5981i | 0.132492 | − | 0.407767i | −0.862700 | − | 0.505716i | \(-0.831228\pi\) |
0.995191 | + | 0.0979492i | \(0.0312283\pi\) | |||||||
\(810\) | −33.7006 | + | 8.02176i | −1.18412 | + | 0.281856i | ||||
\(811\) | 1.10851 | + | 3.41163i | 0.0389249 | + | 0.119799i | 0.968631 | − | 0.248504i | \(-0.0799390\pi\) |
−0.929706 | + | 0.368303i | \(0.879939\pi\) | |||||||
\(812\) | −11.7638 | − | 13.0651i | −0.412829 | − | 0.458493i | ||||
\(813\) | 17.7148 | + | 15.1650i | 0.621286 | + | 0.531860i | ||||
\(814\) | −18.9839 | + | 21.0838i | −0.665387 | + | 0.738987i | ||||
\(815\) | 6.24168 | − | 5.95459i | 0.218637 | − | 0.208580i | ||||
\(816\) | 11.4510 | − | 4.04025i | 0.400865 | − | 0.141437i | ||||
\(817\) | −23.3386 | + | 10.3910i | −0.816516 | + | 0.363536i | ||||
\(818\) | 41.1810 | 1.43986 | ||||||||
\(819\) | 4.54568 | + | 29.1322i | 0.158839 | + | 1.01796i | ||||
\(820\) | −7.58913 | − | 6.44709i | −0.265024 | − | 0.225142i | ||||
\(821\) | 0.975788 | + | 9.28401i | 0.0340552 | + | 0.324014i | 0.998265 | + | 0.0588748i | \(0.0187513\pi\) |
−0.964210 | + | 0.265139i | \(0.914582\pi\) | |||||||
\(822\) | 35.8678 | − | 33.9592i | 1.25103 | − | 1.18446i | ||||
\(823\) | −32.2029 | + | 35.7650i | −1.12252 | + | 1.24669i | −0.156656 | + | 0.987653i | \(0.550071\pi\) |
−0.965868 | + | 0.259035i | \(0.916595\pi\) | |||||||
\(824\) | 0.0157184 | + | 0.0272251i | 0.000547576 | + | 0.000948430i | ||||
\(825\) | 38.9559 | − | 27.0120i | 1.35627 | − | 0.940437i | ||||
\(826\) | 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 | \(0.745481\pi\) | |||||||
\(828\) | −6.37230 | + | 7.83237i | −0.221453 | + | 0.272194i | ||||
\(829\) | −27.4122 | + | 19.9161i | −0.952065 | + | 0.691716i | −0.951294 | − | 0.308284i | \(-0.900245\pi\) |
−0.000770971 | 1.00000i | \(0.500245\pi\) | ||||||||
\(830\) | −25.2149 | − | 7.39650i | −0.875221 | − | 0.256736i | ||||
\(831\) | −1.14336 | − | 45.6621i | −0.0396627 | − | 1.58400i | ||||
\(832\) | −1.54539 | − | 2.67670i | −0.0535769 | − | 0.0927979i | ||||
\(833\) | −1.59686 | + | 15.1931i | −0.0553278 | + | 0.526408i | ||||
\(834\) | −24.4943 | − | 20.9687i | −0.848169 | − | 0.726086i | ||||
\(835\) | 13.2636 | − | 19.4085i | 0.459007 | − | 0.671658i | ||||
\(836\) | 9.56283 | + | 29.4314i | 0.330737 | + | 1.01790i | ||||
\(837\) | 13.5891 | − | 9.27091i | 0.469707 | − | 0.320450i | ||||
\(838\) | −6.67399 | + | 20.5404i | −0.230549 | + | 0.709558i | ||||
\(839\) | 17.6290 | + | 3.74715i | 0.608620 | + | 0.129366i | 0.501904 | − | 0.864923i | \(-0.332633\pi\) |
0.106716 | + | 0.994290i | \(0.465966\pi\) | |||||||
\(840\) | 4.61738 | + | 28.8728i | 0.159315 | + | 0.996205i | ||||
\(841\) | 10.1515 | − | 2.15778i | 0.350053 | − | 0.0744061i | ||||
\(842\) | 0.212354 | − | 2.02041i | 0.00731820 | − | 0.0696280i | ||||
\(843\) | −26.4327 | − | 34.5296i | −0.910390 | − | 1.18926i | ||||
\(844\) | 6.44262 | − | 2.86844i | 0.221764 | − | 0.0987358i | ||||
\(845\) | −16.9483 | − | 1.28877i | −0.583039 | − | 0.0443349i | ||||
\(846\) | 5.28012 | + | 13.8500i | 0.181534 | + | 0.476171i | ||||
\(847\) | −64.8923 | + | 47.1470i | −2.22973 | + | 1.61999i | ||||
\(848\) | −27.9171 | − | 5.93397i | −0.958679 | − | 0.203773i | ||||
\(849\) | −24.7607 | + | 3.23095i | −0.849785 | + | 0.110886i | ||||
\(850\) | −3.06257 | + | 11.6764i | −0.105045 | + | 0.400496i | ||||
\(851\) | −5.26090 | − | 9.11215i | −0.180341 | − | 0.312361i | ||||
\(852\) | 4.73191 | + | 9.94998i | 0.162113 | + | 0.340881i | ||||
\(853\) | −4.26725 | − | 40.6001i | −0.146108 | − | 1.39012i | −0.784365 | − | 0.620299i | \(-0.787011\pi\) |
0.638257 | − | 0.769823i | \(-0.279656\pi\) | |||||||
\(854\) | −63.8586 | + | 46.3960i | −2.18520 | + | 1.58764i | ||||
\(855\) | −31.2471 | − | 23.9592i | −1.06863 | − | 0.819387i | ||||
\(856\) | 4.81315 | + | 3.49696i | 0.164510 | + | 0.119524i | ||||
\(857\) | −0.284511 | + | 0.492787i | −0.00971870 | + | 0.0168333i | −0.870844 | − | 0.491560i | \(-0.836427\pi\) |
0.861125 | + | 0.508393i | \(0.169760\pi\) | |||||||
\(858\) | −0.949204 | − | 37.9082i | −0.0324053 | − | 1.29416i | ||||
\(859\) | −34.4947 | + | 7.33208i | −1.17695 | + | 0.250167i | −0.754549 | − | 0.656244i | \(-0.772144\pi\) |
−0.422396 | + | 0.906411i | \(0.638811\pi\) | |||||||
\(860\) | −9.29013 | + | 1.24807i | −0.316791 | + | 0.0425590i | ||||
\(861\) | −33.7678 | − | 2.69651i | −1.15080 | − | 0.0918969i | ||||
\(862\) | 28.9420 | + | 32.1434i | 0.985769 | + | 1.09481i | ||||
\(863\) | 7.48769 | − | 23.0447i | 0.254884 | − | 0.784452i | −0.738968 | − | 0.673740i | \(-0.764687\pi\) |
0.993852 | − | 0.110712i | \(-0.0353132\pi\) | |||||||
\(864\) | −8.81787 | + | 24.6315i | −0.299990 | + | 0.837982i | ||||
\(865\) | −10.4766 | − | 8.90005i | −0.356215 | − | 0.302611i | ||||
\(866\) | −23.0468 | − | 25.5960i | −0.783161 | − | 0.869789i | ||||
\(867\) | −22.2165 | + | 13.5793i | −0.754511 | + | 0.461177i | ||||
\(868\) | 6.44898 | + | 11.1700i | 0.218893 | + | 0.379133i | ||||
\(869\) | −1.64212 | + | 15.6237i | −0.0557052 | + | 0.529999i | ||||
\(870\) | −26.8740 | − | 10.2698i | −0.911115 | − | 0.348178i | ||||
\(871\) | −2.73977 | − | 26.0672i | −0.0928337 | − | 0.883254i | ||||
\(872\) | 4.13635 | − | 3.00523i | 0.140074 | − | 0.101770i | ||||
\(873\) | 22.5124 | + | 34.8405i | 0.761928 | + | 1.17917i | ||||
\(874\) | −35.3084 | −1.19433 | ||||||||
\(875\) | −42.8454 | − | 20.0205i | −1.44844 | − | 0.676815i | ||||
\(876\) | 6.43284 | − | 0.839403i | 0.217345 | − | 0.0283608i | ||||
\(877\) | −32.8680 | + | 36.5036i | −1.10987 | + | 1.23264i | −0.139710 | + | 0.990193i | \(0.544617\pi\) |
−0.970165 | + | 0.242448i | \(0.922050\pi\) | |||||||
\(878\) | −35.6533 | − | 15.8739i | −1.20324 | − | 0.535717i | ||||
\(879\) | 8.41843 | − | 7.97048i | 0.283947 | − | 0.268838i | ||||
\(880\) | −1.76333 | − | 61.1572i | −0.0594419 | − | 2.06161i | ||||
\(881\) | −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 | \(-0.613436\pi\) | |||||||
\(884\) | 2.10017 | + | 2.33247i | 0.0706363 | + | 0.0784496i | ||||
\(885\) | 2.28322 | − | 44.8529i | 0.0767495 | − | 1.50771i | ||||
\(886\) | −5.71992 | + | 6.35262i | −0.192165 | + | 0.213420i | ||||
\(887\) | 46.9880 | − | 9.98760i | 1.57770 | − | 0.335351i | 0.665919 | − | 0.746024i | \(-0.268040\pi\) |
0.911783 | + | 0.410673i | \(0.134706\pi\) | |||||||
\(888\) | −7.07100 | − | 6.05323i | −0.237287 | − | 0.203133i | ||||
\(889\) | 19.6745 | + | 4.18195i | 0.659862 | + | 0.140258i | ||||
\(890\) | −6.70043 | + | 16.2981i | −0.224599 | + | 0.546312i | ||||
\(891\) | 36.7613 | − | 32.7962i | 1.23155 | − | 1.09871i | ||||
\(892\) | 15.8497 | + | 11.5155i | 0.530688 | + | 0.385568i | ||||
\(893\) | −8.42377 | + | 14.5904i | −0.281891 | + | 0.488249i | ||||
\(894\) | 25.0703 | − | 15.3236i | 0.838476 | − | 0.512498i | ||||
\(895\) | 15.9627 | − | 2.14450i | 0.533575 | − | 0.0716827i | ||||
\(896\) | 47.7609 | + | 21.2645i | 1.59558 | + | 0.710399i | ||||
\(897\) | 13.4795 | + | 4.00961i | 0.450067 | + | 0.133877i | ||||
\(898\) | −29.9180 | − | 6.35927i | −0.998376 | − | 0.212211i | ||||
\(899\) | 13.6616 | 0.455640 | ||||||||
\(900\) | −8.52690 | − | 11.6626i | −0.284230 | − | 0.388752i | ||||
\(901\) | −8.00797 | −0.266784 | ||||||||
\(902\) | 42.6148 | + | 9.05806i | 1.41892 | + | 0.301600i | ||||
\(903\) | −23.1556 | + | 21.9234i | −0.770569 | + | 0.729567i | ||||
\(904\) | 13.1279 | + | 5.84493i | 0.436628 | + | 0.194399i | ||||
\(905\) | −21.9837 | − | 45.7778i | −0.730763 | − | 1.52171i | ||||
\(906\) | 47.5120 | + | 25.8674i | 1.57848 | + | 0.859387i | ||||
\(907\) | −4.54408 | + | 7.87058i | −0.150884 | + | 0.261338i | −0.931553 | − | 0.363607i | \(-0.881545\pi\) |
0.780669 | + | 0.624945i | \(0.214879\pi\) | |||||||
\(908\) | 16.9587 | + | 12.3212i | 0.562794 | + | 0.408894i | ||||
\(909\) | 1.40710 | − | 25.7213i | 0.0466706 | − | 0.853123i | ||||
\(910\) | −32.2030 | + | 19.8514i | −1.06752 | + | 0.658067i | ||||
\(911\) | −2.29989 | − | 0.488856i | −0.0761987 | − | 0.0161965i | 0.169655 | − | 0.985504i | \(-0.445735\pi\) |
−0.245853 | + | 0.969307i | \(0.579068\pi\) | |||||||
\(912\) | −47.9241 | + | 16.9090i | −1.58693 | + | 0.559914i | ||||
\(913\) | 36.5523 | − | 7.76943i | 1.20970 | − | 0.257131i | ||||
\(914\) | 23.0759 | − | 25.6284i | 0.763282 | − | 0.847711i | ||||
\(915\) | −19.0048 | + | 37.4376i | −0.628279 | + | 1.23765i | ||||
\(916\) | −12.1035 | − | 13.4422i | −0.399909 | − | 0.444144i | ||||
\(917\) | 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 | \(0.954657\pi\) | |||||||
\(920\) | 13.3825 | + | 3.92559i | 0.441206 | + | 0.129423i | ||||
\(921\) | −1.31237 | − | 5.49414i | −0.0432441 | − | 0.181038i | ||||
\(922\) | −19.8192 | − | 8.82409i | −0.652712 | − | 0.290606i | ||||
\(923\) | 10.2682 | − | 11.4040i | 0.337982 | − | 0.375367i | ||||
\(924\) | 23.4789 | + | 30.6710i | 0.772399 | + | 1.00900i | ||||
\(925\) | 14.5211 | − | 3.97336i | 0.477451 | − | 0.130643i | ||||
\(926\) | −42.8642 | −1.40860 | ||||||||
\(927\) | −0.0527743 | + | 0.00264455i | −0.00173334 | + | 8.68583e-5i | ||||
\(928\) | −17.5777 | + | 12.7709i | −0.577015 | + | 0.419226i | ||||
\(929\) | −5.37815 | − | 51.1697i | −0.176451 | − | 1.67882i | −0.621576 | − | 0.783354i | \(-0.713507\pi\) |
0.445125 | − | 0.895469i | \(-0.353159\pi\) | |||||||
\(930\) | 17.7186 | + | 11.4688i | 0.581015 | + | 0.376078i | ||||
\(931\) | 6.68307 | − | 63.5852i | 0.219029 | − | 2.08392i | ||||
\(932\) | −3.08265 | − | 5.33931i | −0.100976 | − | 0.174895i | ||||
\(933\) | 49.0290 | + | 26.6934i | 1.60514 | + | 0.873901i | ||||
\(934\) | 42.2022 | + | 46.8703i | 1.38090 | + | 1.53364i | ||||
\(935\) | −4.05159 | − | 16.6816i | −0.132501 | − | 0.545547i | ||||
\(936\) | 12.4254 | − | 0.622642i | 0.406137 | − | 0.0203517i | ||||
\(937\) | −1.71388 | + | 5.27478i | −0.0559900 | + | 0.172320i | −0.975141 | − | 0.221587i | \(-0.928876\pi\) |
0.919151 | + | 0.393906i | \(0.128876\pi\) | |||||||
\(938\) | 54.9618 | + | 61.0413i | 1.79457 | + | 1.99307i | ||||
\(939\) | −20.1696 | + | 29.2751i | −0.658211 | + | 0.955356i | ||||
\(940\) | −4.47267 | + | 4.26694i | −0.145882 | + | 0.139172i | ||||
\(941\) | −34.3030 | + | 7.29133i | −1.11825 | + | 0.237691i | −0.729720 | − | 0.683746i | \(-0.760349\pi\) |
−0.388527 | + | 0.921437i | \(0.627016\pi\) | |||||||
\(942\) | 6.77232 | − | 4.13942i | 0.220654 | − | 0.134869i | ||||
\(943\) | −8.07869 | + | 13.9927i | −0.263078 | + | 0.455665i | ||||
\(944\) | −46.8939 | − | 34.0704i | −1.52627 | − | 1.10890i | ||||
\(945\) | −46.7300 | − | 15.2244i | −1.52013 | − | 0.495250i | ||||
\(946\) | 33.1782 | − | 24.1053i | 1.07871 | − | 0.783732i | ||||
\(947\) | 5.85222 | + | 55.6801i | 0.190172 | + | 1.80936i | 0.508155 | + | 0.861265i | \(0.330328\pi\) |
−0.317984 | + | 0.948096i | \(0.603006\pi\) | |||||||
\(948\) | 4.77260 | + | 0.381113i | 0.155007 | + | 0.0123780i | ||||
\(949\) | −4.51778 | − | 7.82502i | −0.146653 | − | 0.254011i | ||||
\(950\) | 12.8173 | − | 48.8673i | 0.415848 | − | 1.58546i | ||||
\(951\) | 4.21126 | + | 5.50126i | 0.136559 | + | 0.178391i | ||||
\(952\) | 10.3571 | + | 2.20147i | 0.335676 | + | 0.0713502i | ||||
\(953\) | −5.24619 | + | 3.81158i | −0.169941 | + | 0.123469i | −0.669505 | − | 0.742808i | \(-0.733494\pi\) |
0.499564 | + | 0.866277i | \(0.333494\pi\) | |||||||
\(954\) | 18.6085 | − | 22.8722i | 0.602471 | − | 0.740514i | ||||
\(955\) | −5.66360 | − | 23.3187i | −0.183270 | − | 0.754576i | ||||
\(956\) | −15.4751 | + | 6.88995i | −0.500500 | + | 0.222837i | ||||
\(957\) | 40.5690 | − | 5.29374i | 1.31141 | − | 0.171122i | ||||
\(958\) | −1.31475 | + | 12.5090i | −0.0424777 | + | 0.404149i | ||||
\(959\) | 68.5443 | − | 14.5696i | 2.21341 | − | 0.470475i | ||||
\(960\) | 5.14450 | − | 0.277347i | 0.166038 | − | 0.00895132i | ||||
\(961\) | 20.5189 | + | 4.36143i | 0.661900 | + | 0.140691i | ||||
\(962\) | 3.72141 | − | 11.4533i | 0.119983 | − | 0.369270i | ||||
\(963\) | −8.92045 | + | 4.51948i | −0.287458 | + | 0.145638i | ||||
\(964\) | 2.26125 | + | 6.95941i | 0.0728300 | + | 0.224148i | ||||
\(965\) | 0.966074 | + | 33.5061i | 0.0310990 | + | 1.07860i | ||||
\(966\) | −41.5601 | + | 14.6636i | −1.33717 | + | 0.471795i | ||||
\(967\) | −0.523420 | + | 4.98001i | −0.0168321 | + | 0.160146i | −0.999709 | − | 0.0241160i | \(-0.992323\pi\) |
0.982877 | + | 0.184262i | \(0.0589896\pi\) | |||||||
\(968\) | 16.9225 | + | 29.3106i | 0.543909 | + | 0.942078i | ||||
\(969\) | −12.1663 | + | 7.43635i | −0.390837 | + | 0.238890i | ||||
\(970\) | −30.0290 | + | 43.9410i | −0.964173 | + | 1.41086i | ||||
\(971\) | −40.8653 | + | 29.6904i | −1.31143 | + | 0.952810i | −0.311434 | + | 0.950268i | \(0.600809\pi\) |
−0.999997 | + | 0.00254202i | \(0.999191\pi\) | |||||||
\(972\) | −10.2724 | − | 10.9498i | −0.329488 | − | 0.351216i | ||||
\(973\) | −14.1359 | − | 43.5059i | −0.453177 | − | 1.39473i | ||||
\(974\) | 21.3261 | − | 36.9380i | 0.683333 | − | 1.18357i | ||||
\(975\) | −10.4425 | + | 17.2003i | −0.334429 | + | 0.550849i | ||||
\(976\) | 27.0940 | + | 46.9281i | 0.867257 | + | 1.50213i | ||||
\(977\) | 15.9615 | − | 17.7270i | 0.510653 | − | 0.567138i | −0.431589 | − | 0.902070i | \(-0.642047\pi\) |
0.942242 | + | 0.334933i | \(0.108714\pi\) | |||||||
\(978\) | 11.0249 | + | 3.27946i | 0.352537 | + | 0.104866i | ||||
\(979\) | −2.61945 | − | 24.9224i | −0.0837180 | − | 0.796523i | ||||
\(980\) | 8.91987 | − | 21.6966i | 0.284935 | − | 0.693072i | ||||
\(981\) | 1.32492 | + | 8.49111i | 0.0423016 | + | 0.271100i | ||||
\(982\) | −35.1227 | −1.12081 | ||||||||
\(983\) | 8.65772 | − | 3.85467i | 0.276138 | − | 0.122945i | −0.263995 | − | 0.964524i | \(-0.585040\pi\) |
0.540134 | + | 0.841579i | \(0.318374\pi\) | |||||||
\(984\) | −2.62090 | + | 14.0513i | −0.0835513 | + | 0.447938i | ||||
\(985\) | 17.6009 | − | 2.36458i | 0.560811 | − | 0.0753417i | ||||
\(986\) | −6.97116 | + | 7.74226i | −0.222007 | + | 0.246564i | ||||
\(987\) | −3.85586 | + | 20.6722i | −0.122733 | + | 0.658002i | ||||
\(988\) | −8.78951 | − | 9.76174i | −0.279632 | − | 0.310562i | ||||
\(989\) | 4.69993 | + | 14.4649i | 0.149449 | + | 0.459957i | ||||
\(990\) | 57.0605 | + | 27.1917i | 1.81350 | + | 0.864209i | ||||
\(991\) | 8.47195 | − | 26.0740i | 0.269120 | − | 0.828268i | −0.721595 | − | 0.692316i | \(-0.756591\pi\) |
0.990715 | − | 0.135952i | \(-0.0434093\pi\) | |||||||
\(992\) | 14.5619 | − | 6.48336i | 0.462340 | − | 0.205847i | ||||
\(993\) | −1.55196 | − | 2.02736i | −0.0492500 | − | 0.0643363i | ||||
\(994\) | −5.02675 | + | 47.8264i | −0.159439 | + | 1.51696i | ||||
\(995\) | −27.7703 | − | 14.9831i | −0.880378 | − | 0.474996i | ||||
\(996\) | −2.64595 | − | 11.0771i | −0.0838402 | − | 0.350990i | ||||
\(997\) | −2.65815 | − | 25.2906i | −0.0841844 | − | 0.800961i | −0.952416 | − | 0.304802i | \(-0.901410\pi\) |
0.868232 | − | 0.496159i | \(-0.165257\pi\) | |||||||
\(998\) | 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.106.6 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.181.23 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.31.23 | ✓ | 224 | |
9.5 | odd | 6 | 675.2.r.a.631.6 | 224 | |||
25.21 | even | 5 | inner | 225.2.q.a.196.23 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.46.6 | 224 | |||
225.121 | even | 15 | inner | 225.2.q.a.121.6 | yes | 224 | |
225.221 | odd | 30 | 675.2.r.a.496.23 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.23 | ✓ | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.106.6 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.121.6 | yes | 224 | 225.121 | even | 15 | inner | |
225.2.q.a.196.23 | yes | 224 | 25.21 | even | 5 | inner | |
675.2.r.a.46.6 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.181.23 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.496.23 | 224 | 225.221 | odd | 30 | |||
675.2.r.a.631.6 | 224 | 9.5 | odd | 6 |