Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(56,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.56");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.k (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 56.20 | ||
Character | \(\chi\) | \(=\) | 605.56 |
Dual form | 605.2.k.a.551.20 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.05201 | + | 0.602524i | 1.45099 | + | 0.426049i | 0.909868 | − | 0.414897i | \(-0.136182\pi\) |
0.541120 | + | 0.840946i | \(0.318001\pi\) | |||||||
\(3\) | 2.34072 | 1.35141 | 0.675706 | − | 0.737171i | \(-0.263839\pi\) | ||||
0.675706 | + | 0.737171i | \(0.263839\pi\) | |||||||
\(4\) | 2.16519 | + | 1.39148i | 1.08260 | + | 0.695742i | ||||
\(5\) | −0.654861 | + | 0.755750i | −0.292863 | + | 0.337981i | ||||
\(6\) | 4.80316 | + | 1.41034i | 1.96088 | + | 0.575767i | ||||
\(7\) | −1.19051 | + | 2.60686i | −0.449972 | + | 0.985301i | 0.539688 | + | 0.841865i | \(0.318542\pi\) |
−0.989660 | + | 0.143436i | \(0.954185\pi\) | |||||||
\(8\) | 0.803566 | + | 0.927365i | 0.284104 | + | 0.327873i | ||||
\(9\) | 2.47895 | 0.826317 | ||||||||
\(10\) | −1.79914 | + | 1.15623i | −0.568937 | + | 0.365633i | ||||
\(11\) | −1.92833 | − | 2.69843i | −0.581415 | − | 0.813607i | ||||
\(12\) | 5.06810 | + | 3.25707i | 1.46303 | + | 0.940234i | ||||
\(13\) | 5.36710 | + | 3.44923i | 1.48857 | + | 0.956643i | 0.996277 | + | 0.0862119i | \(0.0274762\pi\) |
0.492289 | + | 0.870432i | \(0.336160\pi\) | |||||||
\(14\) | −4.01364 | + | 4.63199i | −1.07269 | + | 1.23795i | ||||
\(15\) | −1.53284 | + | 1.76899i | −0.395778 | + | 0.456753i | ||||
\(16\) | −1.04820 | − | 2.29523i | −0.262050 | − | 0.573809i | ||||
\(17\) | −0.918545 | − | 6.38862i | −0.222780 | − | 1.54947i | −0.727453 | − | 0.686158i | \(-0.759296\pi\) |
0.504673 | − | 0.863311i | \(-0.331613\pi\) | |||||||
\(18\) | 5.08682 | + | 1.49363i | 1.19898 | + | 0.352051i | ||||
\(19\) | 0.0563882 | − | 0.392189i | 0.0129363 | − | 0.0899742i | −0.982330 | − | 0.187155i | \(-0.940073\pi\) |
0.995267 | + | 0.0971807i | \(0.0309825\pi\) | |||||||
\(20\) | −2.46951 | + | 0.725114i | −0.552200 | + | 0.162140i | ||||
\(21\) | −2.78666 | + | 6.10192i | −0.608098 | + | 1.33155i | ||||
\(22\) | −2.33109 | − | 6.69907i | −0.496989 | − | 1.42825i | ||||
\(23\) | 0.657461 | + | 1.43964i | 0.137090 | + | 0.300186i | 0.965709 | − | 0.259628i | \(-0.0836000\pi\) |
−0.828619 | + | 0.559814i | \(0.810873\pi\) | |||||||
\(24\) | 1.88092 | + | 2.17070i | 0.383941 | + | 0.443092i | ||||
\(25\) | −0.142315 | − | 0.989821i | −0.0284630 | − | 0.197964i | ||||
\(26\) | 8.93509 | + | 10.3116i | 1.75232 | + | 2.02228i | ||||
\(27\) | −1.21963 | −0.234718 | ||||||||
\(28\) | −6.20510 | + | 3.98777i | −1.17265 | + | 0.753618i | ||||
\(29\) | 0.132111 | − | 0.918854i | 0.0245324 | − | 0.170627i | −0.973872 | − | 0.227099i | \(-0.927076\pi\) |
0.998404 | + | 0.0564718i | \(0.0179851\pi\) | |||||||
\(30\) | −4.21127 | + | 2.70642i | −0.768868 | + | 0.494122i | ||||
\(31\) | −2.85497 | + | 1.83478i | −0.512768 | + | 0.329536i | −0.771305 | − | 0.636465i | \(-0.780396\pi\) |
0.258537 | + | 0.966001i | \(0.416759\pi\) | |||||||
\(32\) | −1.11724 | − | 7.77058i | −0.197502 | − | 1.37366i | ||||
\(33\) | −4.51368 | − | 6.31626i | −0.785731 | − | 1.09952i | ||||
\(34\) | 1.96444 | − | 13.6629i | 0.336898 | − | 2.34318i | ||||
\(35\) | −1.19051 | − | 2.60686i | −0.201234 | − | 0.440640i | ||||
\(36\) | 5.36740 | + | 3.44942i | 0.894566 | + | 0.574903i | ||||
\(37\) | 8.46108 | − | 5.43760i | 1.39099 | − | 0.893937i | 0.391339 | − | 0.920247i | \(-0.372012\pi\) |
0.999654 | + | 0.0263102i | \(0.00837576\pi\) | |||||||
\(38\) | 0.352012 | − | 0.770798i | 0.0571039 | − | 0.125040i | ||||
\(39\) | 12.5629 | + | 8.07366i | 2.01167 | + | 1.29282i | ||||
\(40\) | −1.22708 | −0.194018 | ||||||||
\(41\) | −8.73353 | − | 2.56439i | −1.36395 | − | 0.400491i | −0.483795 | − | 0.875181i | \(-0.660742\pi\) |
−0.880153 | + | 0.474690i | \(0.842560\pi\) | |||||||
\(42\) | −9.39479 | + | 10.8422i | −1.44965 | + | 1.67298i | ||||
\(43\) | 1.06677 | + | 1.23112i | 0.162681 | + | 0.187744i | 0.831237 | − | 0.555918i | \(-0.187633\pi\) |
−0.668557 | + | 0.743661i | \(0.733088\pi\) | |||||||
\(44\) | −0.420389 | − | 8.52586i | −0.0633761 | − | 1.28532i | ||||
\(45\) | −1.62337 | + | 1.87347i | −0.241997 | + | 0.279280i | ||||
\(46\) | 0.481698 | + | 3.35029i | 0.0710226 | + | 0.493973i | ||||
\(47\) | −11.9900 | + | 3.52059i | −1.74893 | + | 0.513531i | −0.990414 | − | 0.138128i | \(-0.955892\pi\) |
−0.758512 | + | 0.651659i | \(0.774073\pi\) | |||||||
\(48\) | −2.45353 | − | 5.37249i | −0.354137 | − | 0.775452i | ||||
\(49\) | −0.794382 | − | 0.916766i | −0.113483 | − | 0.130967i | ||||
\(50\) | 0.304360 | − | 2.11687i | 0.0430430 | − | 0.299370i | ||||
\(51\) | −2.15005 | − | 14.9540i | −0.301068 | − | 2.09397i | ||||
\(52\) | 6.82126 | + | 14.9365i | 0.945938 | + | 2.07132i | ||||
\(53\) | −1.17453 | + | 2.57187i | −0.161334 | + | 0.353273i | −0.972984 | − | 0.230871i | \(-0.925842\pi\) |
0.811650 | + | 0.584144i | \(0.198570\pi\) | |||||||
\(54\) | −2.50269 | − | 0.734856i | −0.340573 | − | 0.100001i | ||||
\(55\) | 3.30213 | + | 0.309759i | 0.445259 | + | 0.0417678i | ||||
\(56\) | −3.37417 | + | 0.990746i | −0.450892 | + | 0.132394i | ||||
\(57\) | 0.131989 | − | 0.918002i | 0.0174823 | − | 0.121592i | ||||
\(58\) | 0.824725 | − | 1.80589i | 0.108292 | − | 0.237126i | ||||
\(59\) | 1.87077 | − | 0.549307i | 0.243553 | − | 0.0715137i | −0.157678 | − | 0.987491i | \(-0.550401\pi\) |
0.401231 | + | 0.915977i | \(0.368583\pi\) | |||||||
\(60\) | −5.78042 | + | 1.69729i | −0.746250 | + | 0.219119i | ||||
\(61\) | 9.29456 | − | 2.72913i | 1.19005 | − | 0.349429i | 0.374007 | − | 0.927426i | \(-0.377983\pi\) |
0.816039 | + | 0.577997i | \(0.196165\pi\) | |||||||
\(62\) | −6.96392 | + | 2.04479i | −0.884418 | + | 0.259689i | ||||
\(63\) | −2.95122 | + | 6.46228i | −0.371819 | + | 0.814171i | ||||
\(64\) | 1.67118 | − | 11.6233i | 0.208897 | − | 1.45291i | ||||
\(65\) | −6.12146 | + | 1.79742i | −0.759273 | + | 0.222943i | ||||
\(66\) | −5.45641 | − | 15.6806i | −0.671638 | − | 1.93015i | ||||
\(67\) | 8.46793 | + | 2.48641i | 1.03452 | + | 0.303763i | 0.754548 | − | 0.656244i | \(-0.227856\pi\) |
0.279974 | + | 0.960008i | \(0.409674\pi\) | |||||||
\(68\) | 6.90084 | − | 15.1107i | 0.836850 | − | 1.83245i | ||||
\(69\) | 1.53893 | + | 3.36979i | 0.185265 | + | 0.405675i | ||||
\(70\) | −0.872247 | − | 6.06661i | −0.104253 | − | 0.725099i | ||||
\(71\) | −0.916179 | + | 6.37216i | −0.108730 | + | 0.756237i | 0.860388 | + | 0.509640i | \(0.170221\pi\) |
−0.969118 | + | 0.246597i | \(0.920688\pi\) | |||||||
\(72\) | 1.99200 | + | 2.29889i | 0.234760 | + | 0.270927i | ||||
\(73\) | −3.66990 | − | 8.03595i | −0.429529 | − | 0.940537i | −0.993403 | − | 0.114676i | \(-0.963417\pi\) |
0.563874 | − | 0.825861i | \(-0.309310\pi\) | |||||||
\(74\) | 20.6385 | − | 6.06000i | 2.39917 | − | 0.704461i | ||||
\(75\) | −0.333119 | − | 2.31689i | −0.0384652 | − | 0.267531i | ||||
\(76\) | 0.667815 | − | 0.770700i | 0.0766036 | − | 0.0884053i | ||||
\(77\) | 9.33015 | − | 1.81438i | 1.06327 | − | 0.206768i | ||||
\(78\) | 20.9145 | + | 24.1366i | 2.36810 | + | 2.73293i | ||||
\(79\) | −9.10009 | + | 10.5021i | −1.02384 | + | 1.18157i | −0.0406152 | + | 0.999175i | \(0.512932\pi\) |
−0.983225 | + | 0.182399i | \(0.941614\pi\) | |||||||
\(80\) | 2.42105 | + | 0.710884i | 0.270681 | + | 0.0794792i | ||||
\(81\) | −10.2917 | −1.14352 | ||||||||
\(82\) | −16.3761 | − | 10.5243i | −1.80844 | − | 1.16222i | ||||
\(83\) | 1.15334 | − | 2.52547i | 0.126596 | − | 0.277206i | −0.835713 | − | 0.549167i | \(-0.814945\pi\) |
0.962308 | + | 0.271961i | \(0.0876723\pi\) | |||||||
\(84\) | −14.5244 | + | 9.33424i | −1.58474 | + | 1.01845i | ||||
\(85\) | 5.42972 | + | 3.48947i | 0.588936 | + | 0.378486i | ||||
\(86\) | 1.44724 | + | 3.16902i | 0.156060 | + | 0.341724i | ||||
\(87\) | 0.309235 | − | 2.15078i | 0.0331535 | − | 0.230587i | ||||
\(88\) | 0.952886 | − | 3.95664i | 0.101578 | − | 0.421779i | ||||
\(89\) | 1.07140 | + | 7.45176i | 0.113568 | + | 0.789885i | 0.964400 | + | 0.264447i | \(0.0851894\pi\) |
−0.850832 | + | 0.525438i | \(0.823902\pi\) | |||||||
\(90\) | −4.45997 | + | 2.86625i | −0.470122 | + | 0.302129i | ||||
\(91\) | −15.3813 | + | 9.88494i | −1.61240 | + | 1.03622i | ||||
\(92\) | −0.579706 | + | 4.03194i | −0.0604385 | + | 0.420359i | ||||
\(93\) | −6.68267 | + | 4.29469i | −0.692961 | + | 0.445339i | ||||
\(94\) | −26.7249 | −2.75646 | ||||||||
\(95\) | 0.259470 | + | 0.299444i | 0.0266210 | + | 0.0307223i | ||||
\(96\) | −2.61514 | − | 18.1887i | −0.266907 | − | 1.85638i | ||||
\(97\) | 4.68134 | + | 5.40255i | 0.475318 | + | 0.548546i | 0.941883 | − | 0.335941i | \(-0.109054\pi\) |
−0.466565 | + | 0.884487i | \(0.654509\pi\) | |||||||
\(98\) | −1.07770 | − | 2.35984i | −0.108865 | − | 0.238380i | ||||
\(99\) | −4.78024 | − | 6.68927i | −0.480433 | − | 0.672297i | ||||
\(100\) | 1.06918 | − | 2.34118i | 0.106918 | − | 0.234118i | ||||
\(101\) | −16.4425 | + | 4.82795i | −1.63609 | + | 0.480399i | −0.965277 | − | 0.261230i | \(-0.915872\pi\) |
−0.670811 | + | 0.741629i | \(0.734054\pi\) | |||||||
\(102\) | 4.59818 | − | 31.9811i | 0.455288 | − | 3.16660i | ||||
\(103\) | 12.6168 | + | 3.70462i | 1.24317 | + | 0.365027i | 0.836205 | − | 0.548417i | \(-0.184769\pi\) |
0.406964 | + | 0.913444i | \(0.366588\pi\) | |||||||
\(104\) | 1.11413 | + | 7.74895i | 0.109249 | + | 0.759847i | ||||
\(105\) | −2.78666 | − | 6.10192i | −0.271950 | − | 0.595487i | ||||
\(106\) | −3.95976 | + | 4.56981i | −0.384606 | + | 0.443859i | ||||
\(107\) | −2.83416 | + | 3.27079i | −0.273988 | + | 0.316199i | −0.876022 | − | 0.482271i | \(-0.839812\pi\) |
0.602034 | + | 0.798471i | \(0.294357\pi\) | |||||||
\(108\) | −2.64073 | − | 1.69710i | −0.254105 | − | 0.163303i | ||||
\(109\) | −6.37275 | − | 4.09552i | −0.610399 | − | 0.392280i | 0.198608 | − | 0.980079i | \(-0.436358\pi\) |
−0.809007 | + | 0.587799i | \(0.799994\pi\) | |||||||
\(110\) | 6.58935 | + | 2.62524i | 0.628270 | + | 0.250307i | ||||
\(111\) | 19.8050 | − | 12.7279i | 1.87980 | − | 1.20808i | ||||
\(112\) | 7.23126 | 0.683290 | ||||||||
\(113\) | 11.9906 | + | 13.8379i | 1.12798 | + | 1.30176i | 0.948065 | + | 0.318075i | \(0.103036\pi\) |
0.179914 | + | 0.983682i | \(0.442418\pi\) | |||||||
\(114\) | 0.823960 | − | 1.80422i | 0.0771709 | − | 0.168981i | ||||
\(115\) | −1.51855 | − | 0.445887i | −0.141606 | − | 0.0415792i | ||||
\(116\) | 1.56462 | − | 1.80566i | 0.145271 | − | 0.167652i | ||||
\(117\) | 13.3048 | + | 8.55046i | 1.23003 | + | 0.790490i | ||||
\(118\) | 4.16980 | 0.383861 | ||||||||
\(119\) | 17.7478 | + | 5.21123i | 1.62694 | + | 0.477712i | ||||
\(120\) | −2.87224 | −0.262199 | ||||||||
\(121\) | −3.56306 | + | 10.4070i | −0.323914 | + | 0.946086i | ||||
\(122\) | 20.7169 | 1.87562 | ||||||||
\(123\) | −20.4427 | − | 6.00252i | −1.84326 | − | 0.541229i | ||||
\(124\) | −8.73462 | −0.784392 | ||||||||
\(125\) | 0.841254 | + | 0.540641i | 0.0752440 | + | 0.0483564i | ||||
\(126\) | −9.94961 | + | 11.4825i | −0.886382 | + | 1.02294i | ||||
\(127\) | −4.50821 | − | 1.32373i | −0.400039 | − | 0.117462i | 0.0755233 | − | 0.997144i | \(-0.475937\pi\) |
−0.475563 | + | 0.879682i | \(0.657755\pi\) | |||||||
\(128\) | 3.91017 | − | 8.56207i | 0.345613 | − | 0.756787i | ||||
\(129\) | 2.49701 | + | 2.88170i | 0.219849 | + | 0.253719i | ||||
\(130\) | −13.6443 | −1.19668 | ||||||||
\(131\) | −5.37265 | + | 3.45279i | −0.469411 | + | 0.301672i | −0.753879 | − | 0.657014i | \(-0.771819\pi\) |
0.284468 | + | 0.958686i | \(0.408183\pi\) | |||||||
\(132\) | −0.984012 | − | 19.9566i | −0.0856472 | − | 1.73700i | ||||
\(133\) | 0.955251 | + | 0.613902i | 0.0828307 | + | 0.0532321i | ||||
\(134\) | 15.8781 | + | 10.2043i | 1.37166 | + | 0.881513i | ||||
\(135\) | 0.798688 | − | 0.921735i | 0.0687401 | − | 0.0793304i | ||||
\(136\) | 5.18647 | − | 5.98551i | 0.444736 | − | 0.513253i | ||||
\(137\) | −1.91857 | − | 4.20109i | −0.163915 | − | 0.358924i | 0.809796 | − | 0.586712i | \(-0.199578\pi\) |
−0.973711 | + | 0.227788i | \(0.926851\pi\) | |||||||
\(138\) | 1.12752 | + | 7.84207i | 0.0959808 | + | 0.667561i | ||||
\(139\) | 11.6361 | + | 3.41666i | 0.986960 | + | 0.289798i | 0.735095 | − | 0.677965i | \(-0.237138\pi\) |
0.251866 | + | 0.967762i | \(0.418956\pi\) | |||||||
\(140\) | 1.04972 | − | 7.30094i | 0.0887172 | − | 0.617042i | ||||
\(141\) | −28.0653 | + | 8.24070i | −2.36352 | + | 0.693993i | ||||
\(142\) | −5.71938 | + | 12.5237i | −0.479960 | + | 1.05097i | ||||
\(143\) | −1.04207 | − | 21.1340i | −0.0871420 | − | 1.76732i | ||||
\(144\) | −2.59843 | − | 5.68977i | −0.216536 | − | 0.474148i | ||||
\(145\) | 0.607909 | + | 0.701565i | 0.0504841 | + | 0.0582618i | ||||
\(146\) | −2.68880 | − | 18.7010i | −0.222527 | − | 1.54771i | ||||
\(147\) | −1.85942 | − | 2.14589i | −0.153363 | − | 0.176990i | ||||
\(148\) | 25.8862 | 2.12783 | ||||||||
\(149\) | 19.3227 | − | 12.4179i | 1.58298 | − | 1.01732i | 0.608295 | − | 0.793711i | \(-0.291854\pi\) |
0.974680 | − | 0.223606i | \(-0.0717827\pi\) | |||||||
\(150\) | 0.712420 | − | 4.95499i | 0.0581688 | − | 0.404573i | ||||
\(151\) | −3.80626 | + | 2.44614i | −0.309749 | + | 0.199064i | −0.686275 | − | 0.727342i | \(-0.740755\pi\) |
0.376525 | + | 0.926406i | \(0.377119\pi\) | |||||||
\(152\) | 0.409014 | − | 0.262857i | 0.0331754 | − | 0.0213205i | ||||
\(153\) | −2.27703 | − | 15.8371i | −0.184087 | − | 1.28035i | ||||
\(154\) | 20.2387 | + | 1.89851i | 1.63088 | + | 0.152986i | ||||
\(155\) | 0.482975 | − | 3.35917i | 0.0387935 | − | 0.269815i | ||||
\(156\) | 15.9666 | + | 34.9620i | 1.27835 | + | 2.79920i | ||||
\(157\) | 3.20733 | + | 2.06123i | 0.255973 | + | 0.164504i | 0.662334 | − | 0.749209i | \(-0.269566\pi\) |
−0.406361 | + | 0.913713i | \(0.633202\pi\) | |||||||
\(158\) | −25.0012 | + | 16.0673i | −1.98899 | + | 1.27824i | ||||
\(159\) | −2.74925 | + | 6.02001i | −0.218029 | + | 0.477418i | ||||
\(160\) | 6.60425 | + | 4.24429i | 0.522112 | + | 0.335541i | ||||
\(161\) | −4.53566 | −0.357460 | ||||||||
\(162\) | −21.1186 | − | 6.20097i | −1.65923 | − | 0.487194i | ||||
\(163\) | 7.94473 | − | 9.16871i | 0.622279 | − | 0.718149i | −0.353859 | − | 0.935299i | \(-0.615131\pi\) |
0.976138 | + | 0.217150i | \(0.0696761\pi\) | |||||||
\(164\) | −15.3414 | − | 17.7050i | −1.19797 | − | 1.38253i | ||||
\(165\) | 7.72934 | + | 0.725057i | 0.601729 | + | 0.0564456i | ||||
\(166\) | 3.88832 | − | 4.48736i | 0.301792 | − | 0.348286i | ||||
\(167\) | −0.571098 | − | 3.97207i | −0.0441929 | − | 0.307368i | −0.999914 | − | 0.0130952i | \(-0.995832\pi\) |
0.955721 | − | 0.294273i | \(-0.0950775\pi\) | |||||||
\(168\) | −7.89797 | + | 2.31905i | −0.609342 | + | 0.178919i | ||||
\(169\) | 11.5082 | + | 25.1995i | 0.885248 | + | 1.93842i | ||||
\(170\) | 9.03933 | + | 10.4319i | 0.693285 | + | 0.800094i | ||||
\(171\) | 0.139784 | − | 0.972216i | 0.0106895 | − | 0.0743472i | ||||
\(172\) | 0.596680 | + | 4.15000i | 0.0454964 | + | 0.316434i | ||||
\(173\) | 2.61677 | + | 5.72992i | 0.198949 | + | 0.435638i | 0.982642 | − | 0.185510i | \(-0.0593938\pi\) |
−0.783693 | + | 0.621148i | \(0.786667\pi\) | |||||||
\(174\) | 1.93045 | − | 4.22709i | 0.146347 | − | 0.320455i | ||||
\(175\) | 2.74976 | + | 0.807401i | 0.207862 | + | 0.0610338i | ||||
\(176\) | −4.17225 | + | 7.25447i | −0.314496 | + | 0.546826i | ||||
\(177\) | 4.37894 | − | 1.28577i | 0.329141 | − | 0.0966445i | ||||
\(178\) | −2.29134 | + | 15.9366i | −0.171743 | + | 1.19450i | ||||
\(179\) | 5.22355 | − | 11.4380i | 0.390426 | − | 0.854915i | −0.607726 | − | 0.794147i | \(-0.707918\pi\) |
0.998152 | − | 0.0607675i | \(-0.0193548\pi\) | |||||||
\(180\) | −6.12179 | + | 1.79752i | −0.456292 | + | 0.133979i | ||||
\(181\) | 5.33287 | − | 1.56587i | 0.396389 | − | 0.116390i | −0.0774622 | − | 0.996995i | \(-0.524682\pi\) |
0.473851 | + | 0.880605i | \(0.342864\pi\) | |||||||
\(182\) | −37.5184 | + | 11.0164i | −2.78105 | + | 0.816589i | ||||
\(183\) | 21.7559 | − | 6.38812i | 1.60824 | − | 0.472223i | ||||
\(184\) | −0.806758 | + | 1.76655i | −0.0594750 | + | 0.130232i | ||||
\(185\) | −1.43136 | + | 9.95533i | −0.105236 | + | 0.731930i | ||||
\(186\) | −16.3005 | + | 4.78627i | −1.19521 | + | 0.350947i | ||||
\(187\) | −15.4680 | + | 14.7980i | −1.13113 | + | 1.08214i | ||||
\(188\) | −30.8596 | − | 9.06118i | −2.25066 | − | 0.660855i | ||||
\(189\) | 1.45199 | − | 3.17941i | 0.105617 | − | 0.231268i | ||||
\(190\) | 0.352012 | + | 0.770798i | 0.0255376 | + | 0.0559196i | ||||
\(191\) | −1.96713 | − | 13.6817i | −0.142336 | − | 0.989971i | −0.928335 | − | 0.371744i | \(-0.878760\pi\) |
0.785999 | − | 0.618228i | \(-0.212149\pi\) | |||||||
\(192\) | 3.91176 | − | 27.2069i | 0.282307 | − | 1.96349i | ||||
\(193\) | −12.9381 | − | 14.9314i | −0.931305 | − | 1.07478i | −0.997035 | − | 0.0769463i | \(-0.975483\pi\) |
0.0657298 | − | 0.997837i | \(-0.479062\pi\) | |||||||
\(194\) | 6.35098 | + | 13.9067i | 0.455974 | + | 0.998443i | ||||
\(195\) | −14.3286 | + | 4.20725i | −1.02609 | + | 0.301288i | ||||
\(196\) | −0.444324 | − | 3.09034i | −0.0317375 | − | 0.220739i | ||||
\(197\) | −10.2386 | + | 11.8159i | −0.729467 | + | 0.841850i | −0.992412 | − | 0.122961i | \(-0.960761\pi\) |
0.262944 | + | 0.964811i | \(0.415306\pi\) | |||||||
\(198\) | −5.77865 | − | 16.6066i | −0.410671 | − | 1.18018i | ||||
\(199\) | −8.46984 | − | 9.77471i | −0.600411 | − | 0.692911i | 0.371454 | − | 0.928451i | \(-0.378859\pi\) |
−0.971865 | + | 0.235540i | \(0.924314\pi\) | |||||||
\(200\) | 0.803566 | − | 0.927365i | 0.0568207 | − | 0.0655746i | ||||
\(201\) | 19.8210 | + | 5.81998i | 1.39807 | + | 0.410509i | ||||
\(202\) | −36.6490 | −2.57862 | ||||||||
\(203\) | 2.23805 | + | 1.43830i | 0.157080 | + | 0.100949i | ||||
\(204\) | 16.1529 | − | 35.3699i | 1.13093 | − | 2.47639i | ||||
\(205\) | 7.65728 | − | 4.92104i | 0.534808 | − | 0.343700i | ||||
\(206\) | 23.6576 | + | 15.2038i | 1.64830 | + | 1.05930i | ||||
\(207\) | 1.62981 | + | 3.56879i | 0.113280 | + | 0.248048i | ||||
\(208\) | 2.29100 | − | 15.9342i | 0.158852 | − | 1.10484i | ||||
\(209\) | −1.16703 | + | 0.604111i | −0.0807251 | + | 0.0417872i | ||||
\(210\) | −2.04168 | − | 14.2002i | −0.140889 | − | 0.979908i | ||||
\(211\) | 13.0640 | − | 8.39573i | 0.899364 | − | 0.577986i | −0.00723781 | − | 0.999974i | \(-0.502304\pi\) |
0.906601 | + | 0.421988i | \(0.138668\pi\) | |||||||
\(212\) | −6.12180 | + | 3.93424i | −0.420447 | + | 0.270205i | ||||
\(213\) | −2.14451 | + | 14.9154i | −0.146940 | + | 1.02199i | ||||
\(214\) | −7.78644 | + | 5.00404i | −0.532270 | + | 0.342069i | ||||
\(215\) | −1.62900 | −0.111097 | ||||||||
\(216\) | −0.980054 | − | 1.13104i | −0.0666842 | − | 0.0769577i | ||||
\(217\) | −1.38413 | − | 9.62684i | −0.0939609 | − | 0.653513i | ||||
\(218\) | −10.6093 | − | 12.2438i | −0.718552 | − | 0.829253i | ||||
\(219\) | −8.59018 | − | 18.8099i | −0.580471 | − | 1.27105i | ||||
\(220\) | 6.71871 | + | 5.26554i | 0.452976 | + | 0.355003i | ||||
\(221\) | 17.1059 | − | 37.4567i | 1.15067 | − | 2.51961i | ||||
\(222\) | 48.3088 | − | 14.1847i | 3.24227 | − | 0.952018i | ||||
\(223\) | −1.22591 | + | 8.52638i | −0.0820929 | + | 0.570969i | 0.906712 | + | 0.421751i | \(0.138584\pi\) |
−0.988804 | + | 0.149217i | \(0.952325\pi\) | |||||||
\(224\) | 21.5869 | + | 6.33849i | 1.44234 | + | 0.423508i | ||||
\(225\) | −0.352791 | − | 2.45372i | −0.0235194 | − | 0.163581i | ||||
\(226\) | 16.2671 | + | 35.6200i | 1.08207 | + | 2.36941i | ||||
\(227\) | −11.3799 | + | 13.1331i | −0.755308 | + | 0.871672i | −0.995072 | − | 0.0991590i | \(-0.968385\pi\) |
0.239763 | + | 0.970831i | \(0.422930\pi\) | |||||||
\(228\) | 1.56317 | − | 1.80399i | 0.103523 | − | 0.119472i | ||||
\(229\) | −15.9374 | − | 10.2423i | −1.05317 | − | 0.676832i | −0.104961 | − | 0.994476i | \(-0.533472\pi\) |
−0.948210 | + | 0.317645i | \(0.897108\pi\) | |||||||
\(230\) | −2.84742 | − | 1.82993i | −0.187754 | − | 0.120662i | ||||
\(231\) | 21.8392 | − | 4.24695i | 1.43692 | − | 0.279429i | ||||
\(232\) | 0.958273 | − | 0.615845i | 0.0629137 | − | 0.0404322i | ||||
\(233\) | −0.850321 | −0.0557064 | −0.0278532 | − | 0.999612i | \(-0.508867\pi\) | ||||
−0.0278532 | + | 0.999612i | \(0.508867\pi\) | |||||||
\(234\) | 22.1496 | + | 25.5620i | 1.44797 | + | 1.67104i | ||||
\(235\) | 5.19112 | − | 11.3670i | 0.338631 | − | 0.741499i | ||||
\(236\) | 4.81492 | + | 1.41379i | 0.313425 | + | 0.0920298i | ||||
\(237\) | −21.3007 | + | 24.5823i | −1.38363 | + | 1.59679i | ||||
\(238\) | 33.2787 | + | 21.3869i | 2.15714 | + | 1.38631i | ||||
\(239\) | 3.36955 | 0.217958 | 0.108979 | − | 0.994044i | \(-0.465242\pi\) | ||||
0.108979 | + | 0.994044i | \(0.465242\pi\) | |||||||
\(240\) | 5.66698 | + | 1.66398i | 0.365802 | + | 0.107409i | ||||
\(241\) | −10.8131 | −0.696533 | −0.348266 | − | 0.937396i | \(-0.613230\pi\) | ||||
−0.348266 | + | 0.937396i | \(0.613230\pi\) | |||||||
\(242\) | −13.5818 | + | 19.2083i | −0.873074 | + | 1.23476i | ||||
\(243\) | −20.4310 | −1.31065 | ||||||||
\(244\) | 23.9220 | + | 7.02414i | 1.53145 | + | 0.449675i | ||||
\(245\) | 1.21306 | 0.0774993 | ||||||||
\(246\) | −38.3319 | − | 24.6344i | −2.44395 | − | 1.57063i | ||||
\(247\) | 1.65539 | − | 1.91042i | 0.105330 | − | 0.121557i | ||||
\(248\) | −3.99567 | − | 1.17323i | −0.253725 | − | 0.0745004i | ||||
\(249\) | 2.69964 | − | 5.91140i | 0.171083 | − | 0.374620i | ||||
\(250\) | 1.40051 | + | 1.61627i | 0.0885760 | + | 0.102222i | ||||
\(251\) | 22.4653 | 1.41800 | 0.708998 | − | 0.705210i | \(-0.249147\pi\) | ||||
0.708998 | + | 0.705210i | \(0.249147\pi\) | |||||||
\(252\) | −15.3821 | + | 9.88549i | −0.968983 | + | 0.622727i | ||||
\(253\) | 2.61696 | − | 4.55022i | 0.164527 | − | 0.286070i | ||||
\(254\) | −8.45330 | − | 5.43261i | −0.530408 | − | 0.340872i | ||||
\(255\) | 12.7094 | + | 8.16785i | 0.795895 | + | 0.511491i | ||||
\(256\) | −2.19730 | + | 2.53582i | −0.137331 | + | 0.158489i | ||||
\(257\) | −0.855735 | + | 0.987571i | −0.0533793 | + | 0.0616030i | −0.781811 | − | 0.623515i | \(-0.785704\pi\) |
0.728432 | + | 0.685118i | \(0.240249\pi\) | |||||||
\(258\) | 3.38758 | + | 7.41777i | 0.210902 | + | 0.461810i | ||||
\(259\) | 4.10205 | + | 28.5304i | 0.254889 | + | 1.77279i | ||||
\(260\) | −15.7552 | − | 4.62615i | −0.977096 | − | 0.286901i | ||||
\(261\) | 0.327497 | − | 2.27779i | 0.0202716 | − | 0.140992i | ||||
\(262\) | −13.1051 | + | 3.84801i | −0.809636 | + | 0.237731i | ||||
\(263\) | 11.7448 | − | 25.7175i | 0.724214 | − | 1.58581i | −0.0836883 | − | 0.996492i | \(-0.526670\pi\) |
0.807903 | − | 0.589316i | \(-0.200603\pi\) | |||||||
\(264\) | 2.23043 | − | 9.26136i | 0.137274 | − | 0.569998i | ||||
\(265\) | −1.17453 | − | 2.57187i | −0.0721509 | − | 0.157989i | ||||
\(266\) | 1.59029 | + | 1.83529i | 0.0975069 | + | 0.112529i | ||||
\(267\) | 2.50785 | + | 17.4424i | 0.153478 | + | 1.06746i | ||||
\(268\) | 14.8749 | + | 17.1665i | 0.908628 | + | 1.04861i | ||||
\(269\) | 24.3568 | 1.48506 | 0.742530 | − | 0.669813i | \(-0.233626\pi\) | ||||
0.742530 | + | 0.669813i | \(0.233626\pi\) | |||||||
\(270\) | 2.19428 | − | 1.41018i | 0.133540 | − | 0.0858208i | ||||
\(271\) | −2.95342 | + | 20.5415i | −0.179407 | + | 1.24781i | 0.678731 | + | 0.734387i | \(0.262530\pi\) |
−0.858138 | + | 0.513419i | \(0.828379\pi\) | |||||||
\(272\) | −13.7006 | + | 8.80482i | −0.830719 | + | 0.533871i | ||||
\(273\) | −36.0032 | + | 23.1378i | −2.17901 | + | 1.40037i | ||||
\(274\) | −1.40567 | − | 9.77666i | −0.0849197 | − | 0.590630i | ||||
\(275\) | −2.39653 | + | 2.29273i | −0.144516 | + | 0.138257i | ||||
\(276\) | −1.35693 | + | 9.43763i | −0.0816773 | + | 0.568078i | ||||
\(277\) | −1.28983 | − | 2.82434i | −0.0774986 | − | 0.169698i | 0.866917 | − | 0.498453i | \(-0.166098\pi\) |
−0.944415 | + | 0.328755i | \(0.893371\pi\) | |||||||
\(278\) | 21.8187 | + | 14.0220i | 1.30860 | + | 0.840986i | ||||
\(279\) | −7.07733 | + | 4.54832i | −0.423708 | + | 0.272301i | ||||
\(280\) | 1.46086 | − | 3.19883i | 0.0873028 | − | 0.191167i | ||||
\(281\) | −12.4510 | − | 8.00176i | −0.742763 | − | 0.477345i | 0.113724 | − | 0.993512i | \(-0.463722\pi\) |
−0.856488 | + | 0.516167i | \(0.827358\pi\) | |||||||
\(282\) | −62.5553 | −3.72512 | ||||||||
\(283\) | −14.9430 | − | 4.38766i | −0.888269 | − | 0.260819i | −0.194401 | − | 0.980922i | \(-0.562276\pi\) |
−0.693867 | + | 0.720103i | \(0.744095\pi\) | |||||||
\(284\) | −10.8505 | + | 12.5221i | −0.643856 | + | 0.743050i | ||||
\(285\) | 0.607345 | + | 0.700914i | 0.0359760 | + | 0.0415185i | ||||
\(286\) | 10.5954 | − | 43.9950i | 0.626520 | − | 2.60148i | ||||
\(287\) | 17.0824 | − | 19.7142i | 1.00834 | − | 1.16369i | ||||
\(288\) | −2.76958 | − | 19.2629i | −0.163199 | − | 1.13508i | ||||
\(289\) | −23.6594 | + | 6.94703i | −1.39173 | + | 0.408649i | ||||
\(290\) | 0.824725 | + | 1.80589i | 0.0484295 | + | 0.106046i | ||||
\(291\) | 10.9577 | + | 12.6458i | 0.642351 | + | 0.741312i | ||||
\(292\) | 3.23587 | − | 22.5060i | 0.189365 | − | 1.31706i | ||||
\(293\) | −0.0283317 | − | 0.197051i | −0.00165515 | − | 0.0115118i | 0.988977 | − | 0.148068i | \(-0.0473056\pi\) |
−0.990632 | + | 0.136557i | \(0.956396\pi\) | |||||||
\(294\) | −2.52260 | − | 5.52373i | −0.147121 | − | 0.322150i | ||||
\(295\) | −0.809954 | + | 1.77355i | −0.0471573 | + | 0.103260i | ||||
\(296\) | 11.8417 | + | 3.47703i | 0.688284 | + | 0.202098i | ||||
\(297\) | 2.35186 | + | 3.29109i | 0.136469 | + | 0.190968i | ||||
\(298\) | 47.1324 | − | 13.8393i | 2.73030 | − | 0.801690i | ||||
\(299\) | −1.43698 | + | 9.99443i | −0.0831028 | + | 0.577993i | ||||
\(300\) | 2.50265 | − | 5.48004i | 0.144491 | − | 0.316390i | ||||
\(301\) | −4.47936 | + | 1.31526i | −0.258186 | + | 0.0758103i | ||||
\(302\) | −9.28434 | + | 2.72613i | −0.534254 | + | 0.156871i | ||||
\(303\) | −38.4872 | + | 11.3008i | −2.21103 | + | 0.649217i | ||||
\(304\) | −0.959271 | + | 0.281667i | −0.0550180 | + | 0.0161547i | ||||
\(305\) | −4.02410 | + | 8.81156i | −0.230420 | + | 0.504548i | ||||
\(306\) | 4.86974 | − | 33.8698i | 0.278384 | − | 1.93620i | ||||
\(307\) | 13.8959 | − | 4.08021i | 0.793083 | − | 0.232870i | 0.139995 | − | 0.990152i | \(-0.455291\pi\) |
0.653088 | + | 0.757282i | \(0.273473\pi\) | |||||||
\(308\) | 22.7262 | + | 9.05426i | 1.29495 | + | 0.515915i | ||||
\(309\) | 29.5323 | + | 8.67146i | 1.68003 | + | 0.493302i | ||||
\(310\) | 3.01505 | − | 6.60203i | 0.171243 | − | 0.374970i | ||||
\(311\) | 13.0898 | + | 28.6627i | 0.742256 | + | 1.62531i | 0.779808 | + | 0.626019i | \(0.215317\pi\) |
−0.0375521 | + | 0.999295i | \(0.511956\pi\) | |||||||
\(312\) | 2.60786 | + | 18.1381i | 0.147641 | + | 1.02687i | ||||
\(313\) | 0.128273 | − | 0.892158i | 0.00725041 | − | 0.0504277i | −0.985875 | − | 0.167483i | \(-0.946436\pi\) |
0.993125 | + | 0.117055i | \(0.0373453\pi\) | |||||||
\(314\) | 5.33953 | + | 6.16214i | 0.301327 | + | 0.347750i | ||||
\(315\) | −2.95122 | − | 6.46228i | −0.166283 | − | 0.364108i | ||||
\(316\) | −34.3169 | + | 10.0763i | −1.93047 | + | 0.566839i | ||||
\(317\) | 0.376610 | + | 2.61938i | 0.0211525 | + | 0.147119i | 0.997661 | − | 0.0683618i | \(-0.0217772\pi\) |
−0.976508 | + | 0.215481i | \(0.930868\pi\) | |||||||
\(318\) | −9.26867 | + | 10.6966i | −0.519761 | + | 0.599836i | ||||
\(319\) | −2.73422 | + | 1.41536i | −0.153087 | + | 0.0792452i | ||||
\(320\) | 7.68992 | + | 8.87464i | 0.429880 | + | 0.496107i | ||||
\(321\) | −6.63396 | + | 7.65599i | −0.370271 | + | 0.427316i | ||||
\(322\) | −9.30720 | − | 2.73284i | −0.518670 | − | 0.152295i | ||||
\(323\) | −2.55734 | −0.142294 | ||||||||
\(324\) | −22.2834 | − | 14.3207i | −1.23797 | − | 0.795593i | ||||
\(325\) | 2.65030 | − | 5.80335i | 0.147012 | − | 0.321912i | ||||
\(326\) | 21.8270 | − | 14.0274i | 1.20889 | − | 0.776904i | ||||
\(327\) | −14.9168 | − | 9.58645i | −0.824901 | − | 0.530132i | ||||
\(328\) | −4.63984 | − | 10.1598i | −0.256192 | − | 0.560983i | ||||
\(329\) | 5.09661 | − | 35.4477i | 0.280985 | − | 1.95429i | ||||
\(330\) | 15.4238 | + | 6.14493i | 0.849052 | + | 0.338267i | ||||
\(331\) | 0.194369 | + | 1.35187i | 0.0106835 | + | 0.0743054i | 0.994466 | − | 0.105062i | \(-0.0335041\pi\) |
−0.983782 | + | 0.179367i | \(0.942595\pi\) | |||||||
\(332\) | 6.01135 | − | 3.86326i | 0.329916 | − | 0.212024i | ||||
\(333\) | 20.9746 | − | 13.4795i | 1.14940 | − | 0.738675i | ||||
\(334\) | 1.22137 | − | 8.49483i | 0.0668305 | − | 0.464816i | ||||
\(335\) | −7.42442 | + | 4.77138i | −0.405639 | + | 0.260689i | ||||
\(336\) | 16.9263 | 0.923406 | ||||||||
\(337\) | −0.264258 | − | 0.304970i | −0.0143951 | − | 0.0166128i | 0.748506 | − | 0.663128i | \(-0.230771\pi\) |
−0.762901 | + | 0.646515i | \(0.776226\pi\) | |||||||
\(338\) | 8.43166 | + | 58.6435i | 0.458622 | + | 3.18979i | ||||
\(339\) | 28.0665 | + | 32.3905i | 1.52437 | + | 1.75921i | ||||
\(340\) | 6.90084 | + | 15.1107i | 0.374251 | + | 0.819494i | ||||
\(341\) | 10.4564 | + | 4.16587i | 0.566243 | + | 0.225595i | ||||
\(342\) | 0.872620 | − | 1.91077i | 0.0471859 | − | 0.103323i | ||||
\(343\) | −15.9127 | + | 4.67239i | −0.859204 | + | 0.252285i | ||||
\(344\) | −0.284476 | + | 1.97857i | −0.0153379 | + | 0.106677i | ||||
\(345\) | −3.55450 | − | 1.04370i | −0.191368 | − | 0.0561907i | ||||
\(346\) | 1.91721 | + | 13.3345i | 0.103070 | + | 0.716867i | ||||
\(347\) | −7.22118 | − | 15.8122i | −0.387653 | − | 0.848842i | −0.998374 | − | 0.0569962i | \(-0.981848\pi\) |
0.610721 | − | 0.791846i | \(-0.290880\pi\) | |||||||
\(348\) | 3.66232 | − | 4.22655i | 0.196321 | − | 0.226567i | ||||
\(349\) | 11.0859 | − | 12.7939i | 0.593417 | − | 0.684839i | −0.377017 | − | 0.926206i | \(-0.623050\pi\) |
0.970434 | + | 0.241367i | \(0.0775957\pi\) | |||||||
\(350\) | 5.15604 | + | 3.31359i | 0.275602 | + | 0.177119i | ||||
\(351\) | −6.54588 | − | 4.20678i | −0.349393 | − | 0.224541i | ||||
\(352\) | −18.8140 | + | 17.9991i | −1.00279 | + | 0.959354i | ||||
\(353\) | −19.6260 | + | 12.6128i | −1.04458 | + | 0.671314i | −0.946116 | − | 0.323827i | \(-0.895031\pi\) |
−0.0984679 | + | 0.995140i | \(0.531394\pi\) | |||||||
\(354\) | 9.76031 | 0.518755 | ||||||||
\(355\) | −4.21579 | − | 4.86528i | −0.223751 | − | 0.258222i | ||||
\(356\) | −8.04921 | + | 17.6253i | −0.426607 | + | 0.934140i | ||||
\(357\) | 41.5426 | + | 12.1980i | 2.19867 | + | 0.645586i | ||||
\(358\) | 17.6104 | − | 20.3235i | 0.930739 | − | 1.07413i | ||||
\(359\) | 25.7332 | + | 16.5377i | 1.35814 | + | 0.872827i | 0.998190 | − | 0.0601430i | \(-0.0191557\pi\) |
0.359955 | + | 0.932970i | \(0.382792\pi\) | |||||||
\(360\) | −3.04187 | −0.160321 | ||||||||
\(361\) | 18.0797 | + | 5.30869i | 0.951565 | + | 0.279405i | ||||
\(362\) | 11.8866 | 0.624743 | ||||||||
\(363\) | −8.34010 | + | 24.3597i | −0.437742 | + | 1.27855i | ||||
\(364\) | −47.0581 | −2.46652 | ||||||||
\(365\) | 8.47644 | + | 2.48891i | 0.443677 | + | 0.130275i | ||||
\(366\) | 48.4923 | 2.53473 | ||||||||
\(367\) | 5.03766 | + | 3.23751i | 0.262964 | + | 0.168996i | 0.665479 | − | 0.746417i | \(-0.268228\pi\) |
−0.402515 | + | 0.915413i | \(0.631864\pi\) | |||||||
\(368\) | 2.61516 | − | 3.01806i | 0.136325 | − | 0.157327i | ||||
\(369\) | −21.6500 | − | 6.35701i | −1.12705 | − | 0.330932i | ||||
\(370\) | −8.93548 | + | 19.5660i | −0.464534 | + | 1.01719i | ||||
\(371\) | −5.30621 | − | 6.12369i | −0.275484 | − | 0.317926i | ||||
\(372\) | −20.4453 | −1.06004 | ||||||||
\(373\) | 11.2368 | − | 7.22145i | 0.581819 | − | 0.373912i | −0.216377 | − | 0.976310i | \(-0.569424\pi\) |
0.798196 | + | 0.602397i | \(0.205788\pi\) | |||||||
\(374\) | −40.6566 | + | 21.0458i | −2.10230 | + | 1.08825i | ||||
\(375\) | 1.96914 | + | 1.26549i | 0.101686 | + | 0.0653494i | ||||
\(376\) | −12.8997 | − | 8.29011i | −0.665249 | − | 0.427530i | ||||
\(377\) | 3.87839 | − | 4.47590i | 0.199747 | − | 0.230521i | ||||
\(378\) | 4.89516 | − | 5.64931i | 0.251780 | − | 0.290569i | ||||
\(379\) | 9.18460 | + | 20.1115i | 0.471781 | + | 1.03306i | 0.984642 | + | 0.174585i | \(0.0558583\pi\) |
−0.512861 | + | 0.858472i | \(0.671414\pi\) | |||||||
\(380\) | 0.145130 | + | 1.00940i | 0.00744502 | + | 0.0517812i | ||||
\(381\) | −10.5524 | − | 3.09848i | −0.540618 | − | 0.158740i | ||||
\(382\) | 4.20697 | − | 29.2601i | 0.215247 | − | 1.49708i | ||||
\(383\) | −15.0340 | + | 4.41439i | −0.768202 | + | 0.225565i | −0.642274 | − | 0.766475i | \(-0.722009\pi\) |
−0.125928 | + | 0.992039i | \(0.540191\pi\) | |||||||
\(384\) | 9.15259 | − | 20.0414i | 0.467066 | − | 1.02273i | ||||
\(385\) | −4.73873 | + | 8.23942i | −0.241508 | + | 0.419920i | ||||
\(386\) | −17.5526 | − | 38.4348i | −0.893403 | − | 1.95628i | ||||
\(387\) | 2.64447 | + | 3.05188i | 0.134426 | + | 0.155136i | ||||
\(388\) | 2.61843 | + | 18.2116i | 0.132931 | + | 0.924552i | ||||
\(389\) | −1.32443 | − | 1.52847i | −0.0671513 | − | 0.0774967i | 0.721180 | − | 0.692748i | \(-0.243600\pi\) |
−0.788331 | + | 0.615251i | \(0.789055\pi\) | |||||||
\(390\) | −31.9373 | −1.61721 | ||||||||
\(391\) | 8.59341 | − | 5.52265i | 0.434587 | − | 0.279292i | ||||
\(392\) | 0.211838 | − | 1.47336i | 0.0106994 | − | 0.0744162i | ||||
\(393\) | −12.5759 | + | 8.08201i | −0.634368 | + | 0.407683i | ||||
\(394\) | −28.1290 | + | 18.0774i | −1.41712 | + | 0.910726i | ||||
\(395\) | −1.97764 | − | 13.7548i | −0.0995058 | − | 0.692078i | ||||
\(396\) | −1.04212 | − | 21.1352i | −0.0523687 | − | 1.06208i | ||||
\(397\) | 2.27555 | − | 15.8268i | 0.114207 | − | 0.794326i | −0.849543 | − | 0.527519i | \(-0.823122\pi\) |
0.963750 | − | 0.266807i | \(-0.0859686\pi\) | |||||||
\(398\) | −11.4907 | − | 25.1611i | −0.575975 | − | 1.26121i | ||||
\(399\) | 2.23597 | + | 1.43697i | 0.111939 | + | 0.0719385i | ||||
\(400\) | −2.12270 | + | 1.36418i | −0.106135 | + | 0.0682088i | ||||
\(401\) | 4.75376 | − | 10.4093i | 0.237392 | − | 0.519815i | −0.753014 | − | 0.658004i | \(-0.771401\pi\) |
0.990406 | + | 0.138189i | \(0.0441281\pi\) | |||||||
\(402\) | 37.1662 | + | 23.8853i | 1.85368 | + | 1.19129i | ||||
\(403\) | −21.6515 | −1.07854 | ||||||||
\(404\) | −42.3191 | − | 12.4260i | −2.10545 | − | 0.618217i | ||||
\(405\) | 6.73960 | − | 7.77792i | 0.334894 | − | 0.386488i | ||||
\(406\) | 3.72587 | + | 4.29989i | 0.184912 | + | 0.213400i | ||||
\(407\) | −30.9888 | − | 12.3461i | −1.53606 | − | 0.611974i | ||||
\(408\) | 12.1401 | − | 14.0104i | 0.601023 | − | 0.693617i | ||||
\(409\) | 1.05170 | + | 7.31472i | 0.0520031 | + | 0.361690i | 0.999162 | + | 0.0409254i | \(0.0130306\pi\) |
−0.947159 | + | 0.320764i | \(0.896060\pi\) | |||||||
\(410\) | 18.6778 | − | 5.48431i | 0.922433 | − | 0.270851i | ||||
\(411\) | −4.49084 | − | 9.83356i | −0.221517 | − | 0.485054i | ||||
\(412\) | 22.1628 | + | 25.5773i | 1.09188 | + | 1.26010i | ||||
\(413\) | −0.795208 | + | 5.53079i | −0.0391296 | + | 0.272152i | ||||
\(414\) | 1.19411 | + | 8.30519i | 0.0586871 | + | 0.408178i | ||||
\(415\) | 1.15334 | + | 2.52547i | 0.0566153 | + | 0.123970i | ||||
\(416\) | 20.8062 | − | 45.5591i | 1.02011 | − | 2.23372i | ||||
\(417\) | 27.2368 | + | 7.99744i | 1.33379 | + | 0.391636i | ||||
\(418\) | −2.75874 | + | 0.536477i | −0.134934 | + | 0.0262400i | ||||
\(419\) | −23.5264 | + | 6.90797i | −1.14934 | + | 0.337476i | −0.800281 | − | 0.599625i | \(-0.795317\pi\) |
−0.349058 | + | 0.937101i | \(0.613498\pi\) | |||||||
\(420\) | 2.45709 | − | 17.0894i | 0.119894 | − | 0.833878i | ||||
\(421\) | 4.88464 | − | 10.6959i | 0.238063 | − | 0.521285i | −0.752459 | − | 0.658639i | \(-0.771133\pi\) |
0.990522 | + | 0.137354i | \(0.0438598\pi\) | |||||||
\(422\) | 31.8661 | − | 9.35672i | 1.55122 | − | 0.455478i | ||||
\(423\) | −29.7227 | + | 8.72737i | −1.44517 | + | 0.424339i | ||||
\(424\) | −3.32887 | + | 0.977446i | −0.161664 | + | 0.0474690i | ||||
\(425\) | −6.19287 | + | 1.81839i | −0.300399 | + | 0.0882050i | ||||
\(426\) | −13.3875 | + | 29.3144i | −0.648624 | + | 1.42029i | ||||
\(427\) | −3.95084 | + | 27.4787i | −0.191195 | + | 1.32979i | ||||
\(428\) | −10.6877 | + | 3.13821i | −0.516612 | + | 0.151691i | ||||
\(429\) | −2.43918 | − | 49.4687i | −0.117765 | − | 2.38837i | ||||
\(430\) | −3.34273 | − | 0.981513i | −0.161201 | − | 0.0473328i | ||||
\(431\) | −9.87111 | + | 21.6147i | −0.475475 | + | 1.04114i | 0.508209 | + | 0.861234i | \(0.330308\pi\) |
−0.983683 | + | 0.179910i | \(0.942419\pi\) | |||||||
\(432\) | 1.27842 | + | 2.79934i | 0.0615078 | + | 0.134683i | ||||
\(433\) | 0.731177 | + | 5.08545i | 0.0351381 | + | 0.244391i | 0.999819 | − | 0.0190308i | \(-0.00605804\pi\) |
−0.964681 | + | 0.263422i | \(0.915149\pi\) | |||||||
\(434\) | 2.96015 | − | 20.5883i | 0.142092 | − | 0.988271i | ||||
\(435\) | 1.42294 | + | 1.64216i | 0.0682249 | + | 0.0787357i | ||||
\(436\) | −8.09938 | − | 17.7352i | −0.387890 | − | 0.849360i | ||||
\(437\) | 0.601683 | − | 0.176670i | 0.0287824 | − | 0.00845128i | ||||
\(438\) | −6.29372 | − | 43.7738i | −0.300726 | − | 2.09159i | ||||
\(439\) | 7.30294 | − | 8.42804i | 0.348550 | − | 0.402249i | −0.554221 | − | 0.832370i | \(-0.686984\pi\) |
0.902771 | + | 0.430121i | \(0.141529\pi\) | |||||||
\(440\) | 2.36622 | + | 3.31119i | 0.112805 | + | 0.157855i | ||||
\(441\) | −1.96923 | − | 2.27262i | −0.0937730 | − | 0.108220i | ||||
\(442\) | 57.6699 | − | 66.5546i | 2.74308 | − | 3.16568i | ||||
\(443\) | 5.93493 | + | 1.74265i | 0.281977 | + | 0.0827959i | 0.419663 | − | 0.907680i | \(-0.362148\pi\) |
−0.137686 | + | 0.990476i | \(0.543966\pi\) | |||||||
\(444\) | 60.5922 | 2.87558 | ||||||||
\(445\) | −6.33328 | − | 4.07015i | −0.300226 | − | 0.192944i | ||||
\(446\) | −7.65292 | + | 16.7576i | −0.362376 | + | 0.793493i | ||||
\(447\) | 45.2289 | − | 29.0668i | 2.13925 | − | 1.37481i | ||||
\(448\) | 28.3108 | + | 18.1942i | 1.33756 | + | 0.859597i | ||||
\(449\) | −12.2171 | − | 26.7517i | −0.576560 | − | 1.26249i | −0.943230 | − | 0.332140i | \(-0.892229\pi\) |
0.366670 | − | 0.930351i | \(-0.380498\pi\) | |||||||
\(450\) | 0.754492 | − | 5.24761i | 0.0355671 | − | 0.247375i | ||||
\(451\) | 9.92132 | + | 28.5118i | 0.467177 | + | 1.34257i | ||||
\(452\) | 6.70673 | + | 46.6463i | 0.315458 | + | 2.19406i | ||||
\(453\) | −8.90938 | + | 5.72571i | −0.418599 | + | 0.269017i | ||||
\(454\) | −31.2646 | + | 20.0925i | −1.46732 | + | 0.942988i | ||||
\(455\) | 2.60205 | − | 18.0977i | 0.121986 | − | 0.848431i | ||||
\(456\) | 0.957384 | − | 0.615274i | 0.0448336 | − | 0.0288128i | ||||
\(457\) | −3.65872 | −0.171148 | −0.0855738 | − | 0.996332i | \(-0.527272\pi\) | ||||
−0.0855738 | + | 0.996332i | \(0.527272\pi\) | |||||||
\(458\) | −26.5323 | − | 30.6200i | −1.23978 | − | 1.43078i | ||||
\(459\) | 1.12029 | + | 7.79176i | 0.0522905 | + | 0.363688i | ||||
\(460\) | −2.66751 | − | 3.07847i | −0.124373 | − | 0.143535i | ||||
\(461\) | 11.8081 | + | 25.8562i | 0.549960 | + | 1.20424i | 0.956801 | + | 0.290745i | \(0.0939030\pi\) |
−0.406841 | + | 0.913499i | \(0.633370\pi\) | |||||||
\(462\) | 47.3731 | + | 4.44387i | 2.20400 | + | 0.206748i | ||||
\(463\) | −5.92032 | + | 12.9637i | −0.275141 | + | 0.602474i | −0.995875 | − | 0.0907376i | \(-0.971078\pi\) |
0.720734 | + | 0.693212i | \(0.243805\pi\) | |||||||
\(464\) | −2.24746 | + | 0.659915i | −0.104336 | + | 0.0306358i | ||||
\(465\) | 1.13051 | − | 7.86285i | 0.0524260 | − | 0.364631i | ||||
\(466\) | −1.74487 | − | 0.512339i | −0.0808293 | − | 0.0237336i | ||||
\(467\) | 2.00644 | + | 13.9551i | 0.0928468 | + | 0.645764i | 0.982102 | + | 0.188352i | \(0.0603144\pi\) |
−0.889255 | + | 0.457412i | \(0.848776\pi\) | |||||||
\(468\) | 16.9096 | + | 37.0268i | 0.781644 | + | 1.71156i | ||||
\(469\) | −16.5629 | + | 19.1146i | −0.764804 | + | 0.882631i | ||||
\(470\) | 17.5011 | − | 20.1973i | 0.807264 | − | 0.931633i | ||||
\(471\) | 7.50745 | + | 4.82475i | 0.345925 | + | 0.222313i | ||||
\(472\) | 2.01269 | + | 1.29348i | 0.0926418 | + | 0.0595372i | ||||
\(473\) | 1.26500 | − | 5.25261i | 0.0581647 | − | 0.241515i | ||||
\(474\) | −58.5207 | + | 37.6089i | −2.68794 | + | 1.72744i | ||||
\(475\) | −0.396221 | −0.0181799 | ||||||||
\(476\) | 31.1760 | + | 35.9791i | 1.42895 | + | 1.64910i | ||||
\(477\) | −2.91161 | + | 6.37553i | −0.133313 | + | 0.291915i | ||||
\(478\) | 6.91434 | + | 2.03023i | 0.316254 | + | 0.0928607i | ||||
\(479\) | 4.25820 | − | 4.91423i | 0.194562 | − | 0.224537i | −0.650083 | − | 0.759863i | \(-0.725266\pi\) |
0.844645 | + | 0.535326i | \(0.179811\pi\) | |||||||
\(480\) | 15.4587 | + | 9.93469i | 0.705589 | + | 0.453454i | ||||
\(481\) | 64.1670 | 2.92576 | ||||||||
\(482\) | −22.1885 | − | 6.51514i | −1.01066 | − | 0.296757i | ||||
\(483\) | −10.6167 | −0.483076 | ||||||||
\(484\) | −22.1958 | + | 17.5751i | −1.00890 | + | 0.798868i | ||||
\(485\) | −7.14860 | −0.324601 | ||||||||
\(486\) | −41.9245 | − | 12.3101i | −1.90173 | − | 0.558399i | ||||
\(487\) | −40.0805 | −1.81622 | −0.908111 | − | 0.418729i | \(-0.862476\pi\) | ||||
−0.908111 | + | 0.418729i | \(0.862476\pi\) | |||||||
\(488\) | 9.99969 | + | 6.42641i | 0.452665 | + | 0.290910i | ||||
\(489\) | 18.5964 | − | 21.4613i | 0.840956 | − | 0.970515i | ||||
\(490\) | 2.48920 | + | 0.730895i | 0.112451 | + | 0.0330184i | ||||
\(491\) | 2.57827 | − | 5.64562i | 0.116356 | − | 0.254783i | −0.842490 | − | 0.538713i | \(-0.818911\pi\) |
0.958845 | + | 0.283929i | \(0.0916382\pi\) | |||||||
\(492\) | −35.9099 | − | 41.4423i | −1.61895 | − | 1.86836i | ||||
\(493\) | −5.99156 | −0.269846 | ||||||||
\(494\) | 4.54794 | − | 2.92278i | 0.204622 | − | 0.131502i | ||||
\(495\) | 8.18581 | + | 0.767876i | 0.367925 | + | 0.0345135i | ||||
\(496\) | 7.20382 | + | 4.62962i | 0.323461 | + | 0.207876i | ||||
\(497\) | −15.5206 | − | 9.97450i | −0.696195 | − | 0.447418i | ||||
\(498\) | 9.10145 | − | 10.5036i | 0.407846 | − | 0.470679i | ||||
\(499\) | −25.4126 | + | 29.3277i | −1.13762 | + | 1.31289i | −0.194325 | + | 0.980937i | \(0.562252\pi\) |
−0.943297 | + | 0.331949i | \(0.892294\pi\) | |||||||
\(500\) | 1.06918 | + | 2.34118i | 0.0478153 | + | 0.104701i | ||||
\(501\) | −1.33678 | − | 9.29750i | −0.0597229 | − | 0.415382i | ||||
\(502\) | 46.0989 | + | 13.5359i | 2.05750 | + | 0.604135i | ||||
\(503\) | 4.65831 | − | 32.3993i | 0.207704 | − | 1.44461i | −0.572920 | − | 0.819611i | \(-0.694190\pi\) |
0.780624 | − | 0.625001i | \(-0.214901\pi\) | |||||||
\(504\) | −8.36440 | + | 2.45601i | −0.372580 | + | 0.109399i | ||||
\(505\) | 7.11881 | − | 15.5880i | 0.316783 | − | 0.693658i | ||||
\(506\) | 8.11164 | − | 7.76030i | 0.360606 | − | 0.344987i | ||||
\(507\) | 26.9375 | + | 58.9848i | 1.19634 | + | 2.61961i | ||||
\(508\) | −7.91919 | − | 9.13923i | −0.351357 | − | 0.405488i | ||||
\(509\) | 0.265784 | + | 1.84857i | 0.0117807 | + | 0.0819365i | 0.994864 | − | 0.101225i | \(-0.0322761\pi\) |
−0.983083 | + | 0.183161i | \(0.941367\pi\) | |||||||
\(510\) | 21.1585 | + | 24.4182i | 0.936915 | + | 1.08126i | ||||
\(511\) | 25.3177 | 1.11999 | ||||||||
\(512\) | −21.8737 | + | 14.0573i | −0.966688 | + | 0.621253i | ||||
\(513\) | −0.0687728 | + | 0.478325i | −0.00303639 | + | 0.0211186i | ||||
\(514\) | −2.35101 | + | 1.51090i | −0.103699 | + | 0.0666430i | ||||
\(515\) | −11.0620 | + | 7.10912i | −0.487450 | + | 0.313265i | ||||
\(516\) | 1.39666 | + | 9.71397i | 0.0614844 | + | 0.427634i | ||||
\(517\) | 32.6209 | + | 25.5654i | 1.43466 | + | 1.12437i | ||||
\(518\) | −8.77280 | + | 61.0162i | −0.385455 | + | 2.68090i | ||||
\(519\) | 6.12511 | + | 13.4121i | 0.268862 | + | 0.588727i | ||||
\(520\) | −6.58586 | − | 4.23248i | −0.288809 | − | 0.185606i | ||||
\(521\) | 29.0226 | − | 18.6517i | 1.27150 | − | 0.817145i | 0.281687 | − | 0.959506i | \(-0.409106\pi\) |
0.989815 | + | 0.142361i | \(0.0454695\pi\) | |||||||
\(522\) | 2.04445 | − | 4.47672i | 0.0894832 | − | 0.195941i | ||||
\(523\) | 19.9556 | + | 12.8247i | 0.872596 | + | 0.560784i | 0.898546 | − | 0.438880i | \(-0.144625\pi\) |
−0.0259494 | + | 0.999663i | \(0.508261\pi\) | |||||||
\(524\) | −16.4373 | −0.718068 | ||||||||
\(525\) | 6.43640 | + | 1.88990i | 0.280907 | + | 0.0824819i | ||||
\(526\) | 39.5958 | − | 45.6959i | 1.72646 | − | 1.99244i | ||||
\(527\) | 14.3441 | + | 16.5540i | 0.624840 | + | 0.721104i | ||||
\(528\) | −9.76606 | + | 16.9807i | −0.425013 | + | 0.738988i | ||||
\(529\) | 13.4215 | − | 15.4892i | 0.583543 | − | 0.673445i | ||||
\(530\) | −0.860538 | − | 5.98517i | −0.0373794 | − | 0.259979i | ||||
\(531\) | 4.63754 | − | 1.36170i | 0.201252 | − | 0.0590929i | ||||
\(532\) | 1.21406 | + | 2.65843i | 0.0526364 | + | 0.115258i | ||||
\(533\) | −38.0285 | − | 43.8873i | −1.64720 | − | 1.90097i | ||||
\(534\) | −5.36337 | + | 37.3031i | −0.232096 | + | 1.61426i | ||||
\(535\) | −0.615921 | − | 4.28383i | −0.0266286 | − | 0.185206i | ||||
\(536\) | 4.49874 | + | 9.85086i | 0.194316 | + | 0.425492i | ||||
\(537\) | 12.2268 | − | 26.7731i | 0.527627 | − | 1.15534i | ||||
\(538\) | 49.9803 | + | 14.6755i | 2.15480 | + | 0.632707i | ||||
\(539\) | −0.941995 | + | 3.91142i | −0.0405746 | + | 0.168477i | ||||
\(540\) | 3.01189 | − | 0.884371i | 0.129611 | − | 0.0380573i | ||||
\(541\) | 4.13034 | − | 28.7272i | 0.177577 | − | 1.23508i | −0.684770 | − | 0.728760i | \(-0.740097\pi\) |
0.862347 | − | 0.506318i | \(-0.168994\pi\) | |||||||
\(542\) | −18.4372 | + | 40.3717i | −0.791944 | + | 1.73412i | ||||
\(543\) | 12.4827 | − | 3.66526i | 0.535685 | − | 0.157291i | ||||
\(544\) | −48.6171 | + | 14.2753i | −2.08444 | + | 0.612047i | ||||
\(545\) | 7.26845 | − | 2.13421i | 0.311346 | − | 0.0914195i | ||||
\(546\) | −87.8199 | + | 25.7862i | −3.75834 | + | 1.10355i | ||||
\(547\) | 7.23228 | − | 15.8365i | 0.309230 | − | 0.677119i | −0.689665 | − | 0.724129i | \(-0.742242\pi\) |
0.998894 | + | 0.0470100i | \(0.0149693\pi\) | |||||||
\(548\) | 1.69167 | − | 11.7658i | 0.0722646 | − | 0.502611i | ||||
\(549\) | 23.0407 | − | 6.76537i | 0.983355 | − | 0.288739i | ||||
\(550\) | −6.29913 | + | 3.26074i | −0.268596 | + | 0.139038i | ||||
\(551\) | −0.352915 | − | 0.103625i | −0.0150347 | − | 0.00441458i | ||||
\(552\) | −1.88839 | + | 4.13500i | −0.0803752 | + | 0.175997i | ||||
\(553\) | −16.5436 | − | 36.2255i | −0.703507 | − | 1.54047i | ||||
\(554\) | −0.945016 | − | 6.57273i | −0.0401499 | − | 0.279248i | ||||
\(555\) | −3.35041 | + | 23.3026i | −0.142217 | + | 0.989140i | ||||
\(556\) | 20.4401 | + | 23.5892i | 0.866854 | + | 1.00040i | ||||
\(557\) | −18.6359 | − | 40.8070i | −0.789630 | − | 1.72905i | −0.677707 | − | 0.735332i | \(-0.737026\pi\) |
−0.111923 | − | 0.993717i | \(-0.535701\pi\) | |||||||
\(558\) | −17.2632 | + | 5.06893i | −0.730809 | + | 0.214585i | ||||
\(559\) | 1.47906 | + | 10.2871i | 0.0625575 | + | 0.435097i | ||||
\(560\) | −4.73547 | + | 5.46502i | −0.200110 | + | 0.230939i | ||||
\(561\) | −36.2062 | + | 34.6380i | −1.52863 | + | 1.46242i | ||||
\(562\) | −20.7283 | − | 23.9217i | −0.874369 | − | 1.00908i | ||||
\(563\) | −3.60983 | + | 4.16596i | −0.152136 | + | 0.175574i | −0.826702 | − | 0.562641i | \(-0.809786\pi\) |
0.674566 | + | 0.738215i | \(0.264331\pi\) | |||||||
\(564\) | −72.2335 | − | 21.2097i | −3.04158 | − | 0.893088i | ||||
\(565\) | −18.3101 | −0.770313 | ||||||||
\(566\) | −28.0195 | − | 18.0070i | −1.17775 | − | 0.756891i | ||||
\(567\) | 12.2524 | − | 26.8289i | 0.514551 | − | 1.12671i | ||||
\(568\) | −6.64553 | + | 4.27082i | −0.278840 | + | 0.179200i | ||||
\(569\) | −30.5368 | − | 19.6248i | −1.28017 | − | 0.822716i | −0.289262 | − | 0.957250i | \(-0.593410\pi\) |
−0.990909 | + | 0.134534i | \(0.957046\pi\) | |||||||
\(570\) | 0.823960 | + | 1.80422i | 0.0345119 | + | 0.0755705i | ||||
\(571\) | 3.47174 | − | 24.1465i | 0.145288 | − | 1.01050i | −0.778514 | − | 0.627627i | \(-0.784026\pi\) |
0.923802 | − | 0.382871i | \(-0.125065\pi\) | |||||||
\(572\) | 27.1514 | − | 47.2092i | 1.13526 | − | 1.97392i | ||||
\(573\) | −4.60449 | − | 32.0249i | −0.192355 | − | 1.33786i | ||||
\(574\) | 46.9315 | − | 30.1610i | 1.95888 | − | 1.25890i | ||||
\(575\) | 1.33142 | − | 0.855651i | 0.0555240 | − | 0.0356831i | ||||
\(576\) | 4.14277 | − | 28.8136i | 0.172615 | − | 1.20057i | ||||
\(577\) | 20.3572 | − | 13.0828i | 0.847481 | − | 0.544643i | −0.0433070 | − | 0.999062i | \(-0.513789\pi\) |
0.890788 | + | 0.454419i | \(0.150153\pi\) | |||||||
\(578\) | −52.7350 | −2.19349 | ||||||||
\(579\) | −30.2844 | − | 34.9501i | −1.25858 | − | 1.45248i | ||||
\(580\) | 0.340024 | + | 2.36492i | 0.0141187 | + | 0.0981978i | ||||
\(581\) | 5.21047 | + | 6.01321i | 0.216167 | + | 0.249470i | ||||
\(582\) | 14.8658 | + | 32.5516i | 0.616208 | + | 1.34931i | ||||
\(583\) | 9.20489 | − | 1.79002i | 0.381228 | − | 0.0741353i | ||||
\(584\) | 4.50326 | − | 9.86076i | 0.186346 | − | 0.408041i | ||||
\(585\) | −15.1748 | + | 4.45572i | −0.627400 | + | 0.184221i | ||||
\(586\) | 0.0605912 | − | 0.421421i | 0.00250300 | − | 0.0174087i | ||||
\(587\) | 1.71949 | + | 0.504888i | 0.0709710 | + | 0.0208390i | 0.317025 | − | 0.948417i | \(-0.397316\pi\) |
−0.246054 | + | 0.969256i | \(0.579134\pi\) | |||||||
\(588\) | −1.04004 | − | 7.23362i | −0.0428904 | − | 0.298309i | ||||
\(589\) | 0.558592 | + | 1.22315i | 0.0230164 | + | 0.0503989i | ||||
\(590\) | −2.73064 | + | 3.15132i | −0.112419 | + | 0.129738i | ||||
\(591\) | −23.9656 | + | 27.6577i | −0.985811 | + | 1.13769i | ||||
\(592\) | −21.3495 | − | 13.7205i | −0.877458 | − | 0.563908i | ||||
\(593\) | 2.35381 | + | 1.51270i | 0.0966592 | + | 0.0621191i | 0.588077 | − | 0.808805i | \(-0.299885\pi\) |
−0.491418 | + | 0.870924i | \(0.663521\pi\) | |||||||
\(594\) | 2.84307 | + | 8.17039i | 0.116652 | + | 0.335235i | ||||
\(595\) | −15.5607 | + | 10.0003i | −0.637927 | + | 0.409971i | ||||
\(596\) | 59.1166 | 2.42151 | ||||||||
\(597\) | −19.8255 | − | 22.8798i | −0.811403 | − | 0.936409i | ||||
\(598\) | −8.97057 | + | 19.6428i | −0.366834 | + | 0.803254i | ||||
\(599\) | 25.7967 | + | 7.57459i | 1.05402 | + | 0.309489i | 0.762442 | − | 0.647057i | \(-0.224000\pi\) |
0.291582 | + | 0.956546i | \(0.405818\pi\) | |||||||
\(600\) | 1.88092 | − | 2.17070i | 0.0767883 | − | 0.0886184i | ||||
\(601\) | −9.89903 | − | 6.36172i | −0.403790 | − | 0.259500i | 0.322945 | − | 0.946418i | \(-0.395327\pi\) |
−0.726735 | + | 0.686918i | \(0.758963\pi\) | |||||||
\(602\) | −9.98415 | −0.406924 | ||||||||
\(603\) | 20.9916 | + | 6.16368i | 0.854843 | + | 0.251005i | ||||
\(604\) | −11.6451 | −0.473830 | ||||||||
\(605\) | −5.53174 | − | 9.50788i | −0.224897 | − | 0.386550i | ||||
\(606\) | −85.7849 | −3.48477 | ||||||||
\(607\) | −38.2664 | − | 11.2360i | −1.55318 | − | 0.456056i | −0.611134 | − | 0.791527i | \(-0.709286\pi\) |
−0.942051 | + | 0.335471i | \(0.891105\pi\) | |||||||
\(608\) | −3.11053 | −0.126149 | ||||||||
\(609\) | 5.23863 | + | 3.36666i | 0.212280 | + | 0.136424i | ||||
\(610\) | −13.5667 | + | 15.6568i | −0.549298 | + | 0.633924i | ||||
\(611\) | −76.4951 | − | 22.4610i | −3.09466 | − | 0.908674i | ||||
\(612\) | 17.1068 | − | 37.4587i | 0.691503 | − | 1.51418i | ||||
\(613\) | 7.32477 | + | 8.45324i | 0.295845 | + | 0.341423i | 0.884139 | − | 0.467224i | \(-0.154746\pi\) |
−0.588294 | + | 0.808647i | \(0.700200\pi\) | |||||||
\(614\) | 30.9730 | 1.24997 | ||||||||
\(615\) | 17.9235 | − | 11.5187i | 0.722746 | − | 0.464481i | ||||
\(616\) | 9.17999 | + | 7.19448i | 0.369872 | + | 0.289874i | ||||
\(617\) | −18.6711 | − | 11.9992i | −0.751669 | − | 0.483068i | 0.107853 | − | 0.994167i | \(-0.465602\pi\) |
−0.859522 | + | 0.511098i | \(0.829239\pi\) | |||||||
\(618\) | 55.3757 | + | 35.5878i | 2.22754 | + | 1.43155i | ||||
\(619\) | −10.7197 | + | 12.3712i | −0.430863 | + | 0.497242i | −0.929116 | − | 0.369790i | \(-0.879430\pi\) |
0.498253 | + | 0.867032i | \(0.333975\pi\) | |||||||
\(620\) | 5.71996 | − | 6.60118i | 0.229719 | − | 0.265110i | ||||
\(621\) | −0.801860 | − | 1.75583i | −0.0321775 | − | 0.0704590i | ||||
\(622\) | 9.59045 | + | 66.7030i | 0.384542 | + | 2.67455i | ||||
\(623\) | −20.7012 | − | 6.07843i | −0.829377 | − | 0.243527i | ||||
\(624\) | 5.36257 | − | 37.2975i | 0.214675 | − | 1.49310i | ||||
\(625\) | −0.959493 | + | 0.281733i | −0.0383797 | + | 0.0112693i | ||||
\(626\) | 0.800763 | − | 1.75343i | 0.0320049 | − | 0.0700810i | ||||
\(627\) | −2.73168 | + | 1.41405i | −0.109093 | + | 0.0564718i | ||||
\(628\) | 4.07632 | + | 8.92590i | 0.162663 | + | 0.356182i | ||||
\(629\) | −42.5107 | − | 49.0599i | −1.69501 | − | 1.95615i | ||||
\(630\) | −2.16226 | − | 15.0388i | −0.0861464 | − | 0.599161i | ||||
\(631\) | −28.1924 | − | 32.5358i | −1.12232 | − | 1.29523i | −0.950716 | − | 0.310062i | \(-0.899650\pi\) |
−0.171605 | − | 0.985166i | \(-0.554895\pi\) | |||||||
\(632\) | −17.0518 | −0.678283 | ||||||||
\(633\) | 30.5791 | − | 19.6520i | 1.21541 | − | 0.781098i | ||||
\(634\) | −0.805431 | + | 5.60190i | −0.0319878 | + | 0.222480i | ||||
\(635\) | 3.95266 | − | 2.54022i | 0.156857 | − | 0.100806i | ||||
\(636\) | −14.3294 | + | 9.20894i | −0.568197 | + | 0.365158i | ||||
\(637\) | −1.10140 | − | 7.66038i | −0.0436389 | − | 0.303515i | ||||
\(638\) | −6.46343 | + | 1.25691i | −0.255890 | + | 0.0497614i | ||||
\(639\) | −2.27116 | + | 15.7963i | −0.0898457 | + | 0.624891i | ||||
\(640\) | 3.91017 | + | 8.56207i | 0.154563 | + | 0.338445i | ||||
\(641\) | 18.1318 | + | 11.6526i | 0.716162 | + | 0.460250i | 0.847300 | − | 0.531115i | \(-0.178227\pi\) |
−0.131138 | + | 0.991364i | \(0.541863\pi\) | |||||||
\(642\) | −18.2258 | + | 11.7130i | −0.719317 | + | 0.462277i | ||||
\(643\) | −15.0806 | + | 33.0219i | −0.594722 | + | 1.30226i | 0.337825 | + | 0.941209i | \(0.390309\pi\) |
−0.932547 | + | 0.361050i | \(0.882419\pi\) | |||||||
\(644\) | −9.82057 | − | 6.31130i | −0.386985 | − | 0.248700i | ||||
\(645\) | −3.81303 | −0.150138 | ||||||||
\(646\) | −5.24768 | − | 1.54086i | −0.206467 | − | 0.0606242i | ||||
\(647\) | −11.8556 | + | 13.6821i | −0.466093 | + | 0.537901i | −0.939321 | − | 0.343040i | \(-0.888543\pi\) |
0.473227 | + | 0.880940i | \(0.343089\pi\) | |||||||
\(648\) | −8.27003 | − | 9.54412i | −0.324877 | − | 0.374929i | ||||
\(649\) | −5.08973 | − | 3.98889i | −0.199789 | − | 0.156578i | ||||
\(650\) | 8.93509 | − | 10.3116i | 0.350463 | − | 0.404456i | ||||
\(651\) | −3.23986 | − | 22.5337i | −0.126980 | − | 0.883165i | ||||
\(652\) | 29.9600 | − | 8.79704i | 1.17332 | − | 0.344519i | ||||
\(653\) | −12.9004 | − | 28.2479i | −0.504831 | − | 1.10543i | −0.974869 | − | 0.222780i | \(-0.928487\pi\) |
0.470037 | − | 0.882646i | \(-0.344240\pi\) | |||||||
\(654\) | −24.8333 | − | 28.6592i | −0.971060 | − | 1.12066i | ||||
\(655\) | 0.908891 | − | 6.32148i | 0.0355133 | − | 0.247001i | ||||
\(656\) | 3.26858 | + | 22.7335i | 0.127617 | + | 0.887594i | ||||
\(657\) | −9.09749 | − | 19.9207i | −0.354927 | − | 0.777181i | ||||
\(658\) | 31.8163 | − | 69.6681i | 1.24033 | − | 2.71594i | ||||
\(659\) | 24.4745 | + | 7.18636i | 0.953391 | + | 0.279941i | 0.721198 | − | 0.692729i | \(-0.243592\pi\) |
0.232193 | + | 0.972670i | \(0.425410\pi\) | |||||||
\(660\) | 15.7266 | + | 12.3251i | 0.612157 | + | 0.479755i | ||||
\(661\) | 26.0474 | − | 7.64821i | 1.01313 | − | 0.297481i | 0.267295 | − | 0.963615i | \(-0.413870\pi\) |
0.745832 | + | 0.666134i | \(0.232052\pi\) | |||||||
\(662\) | −0.415685 | + | 2.89115i | −0.0161561 | + | 0.112368i | ||||
\(663\) | 40.0400 | − | 87.6754i | 1.55503 | − | 3.40503i | ||||
\(664\) | 3.26881 | − | 0.959811i | 0.126855 | − | 0.0372479i | ||||
\(665\) | −1.08951 | + | 0.319910i | −0.0422495 | + | 0.0124056i | ||||
\(666\) | 51.1617 | − | 15.0224i | 1.98248 | − | 0.582108i | ||||
\(667\) | 1.40968 | − | 0.413918i | 0.0545829 | − | 0.0160270i | ||||
\(668\) | 4.29054 | − | 9.39497i | 0.166006 | − | 0.363502i | ||||
\(669\) | −2.86950 | + | 19.9578i | −0.110941 | + | 0.771614i | ||||
\(670\) | −18.1098 | + | 5.31753i | −0.699644 | + | 0.205434i | ||||
\(671\) | −25.2874 | − | 19.8181i | −0.976209 | − | 0.765067i | ||||
\(672\) | 50.5289 | + | 14.8366i | 1.94919 | + | 0.572335i | ||||
\(673\) | −2.95783 | + | 6.47674i | −0.114016 | + | 0.249660i | −0.958034 | − | 0.286655i | \(-0.907457\pi\) |
0.844018 | + | 0.536315i | \(0.180184\pi\) | |||||||
\(674\) | −0.358508 | − | 0.785023i | −0.0138092 | − | 0.0302379i | ||||
\(675\) | 0.173572 | + | 1.20722i | 0.00668077 | + | 0.0464658i | ||||
\(676\) | −10.1472 | + | 70.5752i | −0.390276 | + | 2.71443i | ||||
\(677\) | −2.42695 | − | 2.80086i | −0.0932754 | − | 0.107646i | 0.707193 | − | 0.707021i | \(-0.249961\pi\) |
−0.800468 | + | 0.599375i | \(0.795416\pi\) | |||||||
\(678\) | 38.0767 | + | 83.3763i | 1.46233 | + | 3.20205i | ||||
\(679\) | −19.6569 | + | 5.77179i | −0.754363 | + | 0.221501i | ||||
\(680\) | 1.12713 | + | 7.83935i | 0.0432234 | + | 0.300625i | ||||
\(681\) | −26.6370 | + | 30.7408i | −1.02073 | + | 1.17799i | ||||
\(682\) | 18.9465 | + | 14.8486i | 0.725498 | + | 0.568582i | ||||
\(683\) | −16.8986 | − | 19.5021i | −0.646609 | − | 0.746226i | 0.333920 | − | 0.942601i | \(-0.391628\pi\) |
−0.980529 | + | 0.196375i | \(0.937083\pi\) | |||||||
\(684\) | 1.65548 | − | 1.91053i | 0.0632989 | − | 0.0730508i | ||||
\(685\) | 4.43137 | + | 1.30117i | 0.169314 | + | 0.0497151i | ||||
\(686\) | −35.4682 | −1.35418 | ||||||||
\(687\) | −37.3048 | − | 23.9744i | −1.42327 | − | 0.914679i | ||||
\(688\) | 1.70752 | − | 3.73894i | 0.0650985 | − | 0.142546i | ||||
\(689\) | −15.1748 | + | 9.75224i | −0.578113 | + | 0.371531i | ||||
\(690\) | −6.66501 | − | 4.28334i | −0.253732 | − | 0.163064i | ||||
\(691\) | −16.1233 | − | 35.3050i | −0.613358 | − | 1.34307i | −0.920253 | − | 0.391324i | \(-0.872017\pi\) |
0.306895 | − | 0.951743i | \(-0.400710\pi\) | |||||||
\(692\) | −2.30729 | + | 16.0476i | −0.0877101 | + | 0.610037i | ||||
\(693\) | 23.1290 | − | 4.49776i | 0.878597 | − | 0.170856i | ||||
\(694\) | −5.29070 | − | 36.7976i | −0.200832 | − | 1.39682i | ||||
\(695\) | −10.2022 | + | 6.55653i | −0.386990 | + | 0.248703i | ||||
\(696\) | 2.24305 | − | 1.44152i | 0.0850224 | − | 0.0546406i | ||||
\(697\) | −8.36081 | + | 58.1507i | −0.316688 | + | 2.20262i | ||||
\(698\) | 30.4570 | − | 19.5735i | 1.15282 | − | 0.740869i | ||||
\(699\) | −1.99036 | −0.0752823 | ||||||||
\(700\) | 4.83026 | + | 5.57442i | 0.182567 | + | 0.210693i | ||||
\(701\) | 5.63344 | + | 39.1814i | 0.212772 | + | 1.47986i | 0.763842 | + | 0.645403i | \(0.223311\pi\) |
−0.551070 | + | 0.834459i | \(0.685780\pi\) | |||||||
\(702\) | −10.8975 | − | 12.5764i | −0.411300 | − | 0.474666i | ||||
\(703\) | −1.65546 | − | 3.62495i | −0.0624369 | − | 0.136718i | ||||
\(704\) | −34.5873 | + | 17.9041i | −1.30356 | + | 0.674785i | ||||
\(705\) | 12.1509 | − | 26.6068i | 0.457630 | − | 1.00207i | ||||
\(706\) | −47.8721 | + | 14.0565i | −1.80169 | + | 0.529024i | ||||
\(707\) | 6.98921 | − | 48.6110i | 0.262856 | − | 1.82820i | ||||
\(708\) | 11.2704 | + | 3.30928i | 0.423566 | + | 0.124370i | ||||
\(709\) | 1.34444 | + | 9.35081i | 0.0504917 | + | 0.351177i | 0.999369 | + | 0.0355309i | \(0.0113122\pi\) |
−0.948877 | + | 0.315646i | \(0.897779\pi\) | |||||||
\(710\) | −5.71938 | − | 12.5237i | −0.214645 | − | 0.470006i | ||||
\(711\) | −22.5587 | + | 26.0341i | −0.846016 | + | 0.976354i | ||||
\(712\) | −6.04956 | + | 6.98156i | −0.226717 | + | 0.261645i | ||||
\(713\) | −4.51845 | − | 2.90383i | −0.169217 | − | 0.108749i | ||||
\(714\) | 77.8960 | + | 50.0607i | 2.91519 | + | 1.87348i | ||||
\(715\) | 16.6544 | + | 13.0523i | 0.622840 | + | 0.488128i | ||||
\(716\) | 27.2257 | − | 17.4969i | 1.01747 | − | 0.653891i | ||||
\(717\) | 7.88716 | 0.294551 | ||||||||
\(718\) | 42.8403 | + | 49.4403i | 1.59879 | + | 1.84510i | ||||
\(719\) | 7.18766 | − | 15.7388i | 0.268054 | − | 0.586957i | −0.726961 | − | 0.686679i | \(-0.759068\pi\) |
0.995015 | + | 0.0997215i | \(0.0317952\pi\) | |||||||
\(720\) | 6.00165 | + | 1.76224i | 0.223668 | + | 0.0656750i | ||||
\(721\) | −24.6779 | + | 28.4798i | −0.919053 | + | 1.06064i | ||||
\(722\) | 33.9011 | + | 21.7869i | 1.26167 | + | 0.810826i | ||||
\(723\) | −25.3104 | −0.941303 | ||||||||
\(724\) | 13.7256 | + | 4.03019i | 0.510106 | + | 0.149781i | ||||
\(725\) | −0.928303 | −0.0344763 | ||||||||
\(726\) | −31.7912 | + | 44.9612i | −1.17988 | + | 1.66867i | ||||
\(727\) | 6.25030 | 0.231811 | 0.115905 | − | 0.993260i | \(-0.463023\pi\) | ||||
0.115905 | + | 0.993260i | \(0.463023\pi\) | |||||||
\(728\) | −21.5268 | − | 6.32085i | −0.797837 | − | 0.234266i | ||||
\(729\) | −16.9481 | −0.627706 | ||||||||
\(730\) | 15.8941 | + | 10.2145i | 0.588267 | + | 0.378056i | ||||
\(731\) | 6.88528 | − | 7.94603i | 0.254661 | − | 0.293895i | ||||
\(732\) | 55.9947 | + | 16.4415i | 2.06962 | + | 0.607696i | ||||
\(733\) | 11.3385 | − | 24.8278i | 0.418795 | − | 0.917034i | −0.576218 | − | 0.817296i | \(-0.695472\pi\) |
0.995014 | − | 0.0997382i | \(-0.0318005\pi\) | |||||||
\(734\) | 8.38664 | + | 9.67869i | 0.309556 | + | 0.357247i | ||||
\(735\) | 2.83942 | 0.104734 | ||||||||
\(736\) | 10.4523 | − | 6.71728i | 0.385277 | − | 0.247602i | ||||
\(737\) | −9.61960 | − | 27.6447i | −0.354342 | − | 1.01831i | ||||
\(738\) | −40.5956 | − | 26.0892i | −1.49435 | − | 0.960358i | ||||
\(739\) | 9.45714 | + | 6.07774i | 0.347887 | + | 0.223573i | 0.702901 | − | 0.711288i | \(-0.251888\pi\) |
−0.355014 | + | 0.934861i | \(0.615524\pi\) | |||||||
\(740\) | −16.9518 | + | 19.5635i | −0.623162 | + | 0.719168i | ||||
\(741\) | 3.87479 | − | 4.47175i | 0.142344 | − | 0.164274i | ||||
\(742\) | −7.19870 | − | 15.7630i | −0.264273 | − | 0.578677i | ||||
\(743\) | −7.06538 | − | 49.1408i | −0.259204 | − | 1.80280i | −0.538532 | − | 0.842605i | \(-0.681021\pi\) |
0.279329 | − | 0.960196i | \(-0.409888\pi\) | |||||||
\(744\) | −9.35272 | − | 2.74621i | −0.342887 | − | 0.100681i | ||||
\(745\) | −3.26882 | + | 22.7351i | −0.119760 | + | 0.832950i | ||||
\(746\) | 27.4091 | − | 8.04803i | 1.00352 | − | 0.294659i | ||||
\(747\) | 2.85908 | − | 6.26050i | 0.104608 | − | 0.229060i | ||||
\(748\) | −54.0824 | + | 10.5171i | −1.97745 | + | 0.384543i | ||||
\(749\) | −5.15240 | − | 11.2822i | −0.188265 | − | 0.412242i | ||||
\(750\) | 3.27819 | + | 3.78324i | 0.119703 | + | 0.138144i | ||||
\(751\) | 4.01053 | + | 27.8939i | 0.146346 | + | 1.01786i | 0.922135 | + | 0.386868i | \(0.126443\pi\) |
−0.775789 | + | 0.630993i | \(0.782648\pi\) | |||||||
\(752\) | 20.6485 | + | 23.8297i | 0.752974 | + | 0.868979i | ||||
\(753\) | 52.5849 | 1.91630 | ||||||||
\(754\) | 10.6553 | − | 6.84776i | 0.388044 | − | 0.249381i | ||||
\(755\) | 0.643906 | − | 4.47846i | 0.0234341 | − | 0.162988i | ||||
\(756\) | 7.56793 | − | 4.86361i | 0.275243 | − | 0.176888i | ||||
\(757\) | 16.2698 | − | 10.4560i | 0.591336 | − | 0.380029i | −0.210481 | − | 0.977598i | \(-0.567503\pi\) |
0.801817 | + | 0.597569i | \(0.203867\pi\) | |||||||
\(758\) | 6.72923 | + | 46.8028i | 0.244417 | + | 1.69995i | ||||
\(759\) | 6.12556 | − | 10.6508i | 0.222344 | − | 0.386598i | ||||
\(760\) | −0.0691928 | + | 0.481247i | −0.00250989 | + | 0.0174566i | ||||
\(761\) | 10.4583 | + | 22.9004i | 0.379111 | + | 0.830138i | 0.998968 | + | 0.0454231i | \(0.0144636\pi\) |
−0.619856 | + | 0.784715i | \(0.712809\pi\) | |||||||
\(762\) | −19.7868 | − | 12.7162i | −0.716799 | − | 0.460659i | ||||
\(763\) | 18.2633 | − | 11.7371i | 0.661176 | − | 0.424912i | ||||
\(764\) | 14.7786 | − | 32.3607i | 0.534672 | − | 1.17077i | ||||
\(765\) | 13.4600 | + | 8.65022i | 0.486647 | + | 0.312749i | ||||
\(766\) | −33.5097 | −1.21075 | ||||||||
\(767\) | 11.9353 | + | 3.50452i | 0.430958 | + | 0.126541i | ||||
\(768\) | −5.14326 | + | 5.93564i | −0.185591 | + | 0.214184i | ||||
\(769\) | −32.2358 | − | 37.2021i | −1.16245 | − | 1.34154i | −0.929399 | − | 0.369077i | \(-0.879674\pi\) |
−0.233053 | − | 0.972464i | \(-0.574872\pi\) | |||||||
\(770\) | −14.6883 | + | 14.0522i | −0.529331 | + | 0.506405i | ||||
\(771\) | −2.00303 | + | 2.31162i | −0.0721374 | + | 0.0832510i | ||||
\(772\) | −7.23671 | − | 50.3324i | −0.260455 | − | 1.81150i | ||||
\(773\) | 21.6017 | − | 6.34282i | 0.776958 | − | 0.228135i | 0.130871 | − | 0.991399i | \(-0.458223\pi\) |
0.646087 | + | 0.763264i | \(0.276404\pi\) | |||||||
\(774\) | 3.58764 | + | 7.85584i | 0.128955 | + | 0.282372i | ||||
\(775\) | 2.22241 | + | 2.56479i | 0.0798312 | + | 0.0921301i | ||||
\(776\) | −1.24837 | + | 8.68262i | −0.0448140 | + | 0.311688i | ||||
\(777\) | 9.60174 | + | 66.7816i | 0.344461 | + | 2.39578i | ||||
\(778\) | −1.79680 | − | 3.93444i | −0.0644184 | − | 0.141057i | ||||
\(779\) | −1.49819 | + | 3.28059i | −0.0536784 | + | 0.117539i | ||||
\(780\) | −36.8785 | − | 10.8285i | −1.32046 | − | 0.387722i | ||||
\(781\) | 18.9615 | − | 9.81541i | 0.678497 | − | 0.351223i | ||||
\(782\) | 20.9613 | − | 6.15478i | 0.749573 | − | 0.220094i | ||||
\(783\) | −0.161127 | + | 1.12066i | −0.00575821 | + | 0.0400492i | ||||
\(784\) | −1.27152 | + | 2.78425i | −0.0454115 | + | 0.0994374i | ||||
\(785\) | −3.65813 | + | 1.07412i | −0.130564 | + | 0.0383371i | ||||
\(786\) | −30.6753 | + | 9.00709i | −1.09415 | + | 0.321272i | ||||
\(787\) | −2.40752 | + | 0.706912i | −0.0858189 | + | 0.0251987i | −0.324360 | − | 0.945934i | \(-0.605149\pi\) |
0.238541 | + | 0.971132i | \(0.423331\pi\) | |||||||
\(788\) | −38.6101 | + | 11.3370i | −1.37543 | + | 0.403862i | ||||
\(789\) | 27.4912 | − | 60.1973i | 0.978712 | − | 2.14308i | ||||
\(790\) | 4.22945 | − | 29.4165i | 0.150477 | − | 1.04659i | ||||
\(791\) | −50.3484 | + | 14.7836i | −1.79018 | + | 0.525645i | ||||
\(792\) | 2.36216 | − | 9.80831i | 0.0839355 | − | 0.348523i | ||||
\(793\) | 59.2982 | + | 17.4115i | 2.10574 | + | 0.618302i | ||||
\(794\) | 14.2055 | − | 31.1057i | 0.504134 | − | 1.10390i | ||||
\(795\) | −2.74925 | − | 6.02001i | −0.0975057 | − | 0.213508i | ||||
\(796\) | −4.73746 | − | 32.9498i | −0.167915 | − | 1.16787i | ||||
\(797\) | −2.48403 | + | 17.2768i | −0.0879887 | + | 0.611975i | 0.897344 | + | 0.441332i | \(0.145494\pi\) |
−0.985333 | + | 0.170644i | \(0.945415\pi\) | |||||||
\(798\) | 3.72242 | + | 4.29590i | 0.131772 | + | 0.152073i | ||||
\(799\) | 33.5051 | + | 73.3660i | 1.18533 | + | 2.59550i | ||||
\(800\) | −7.53249 | + | 2.21174i | −0.266314 | + | 0.0781968i | ||||
\(801\) | 2.65595 | + | 18.4725i | 0.0938434 | + | 0.652695i | ||||
\(802\) | 16.0266 | − | 18.4957i | 0.565919 | − | 0.653105i | ||||
\(803\) | −14.6077 | + | 25.3990i | −0.515494 | + | 0.896310i | ||||
\(804\) | 34.8179 | + | 40.1820i | 1.22793 | + | 1.41711i | ||||
\(805\) | 2.97023 | − | 3.42782i | 0.104687 | − | 0.120815i | ||||
\(806\) | −44.4290 | − | 13.0455i | −1.56494 | − | 0.459509i | ||||
\(807\) | 57.0123 | 2.00693 | ||||||||
\(808\) | −17.6899 | − | 11.3686i | −0.622328 | − | 0.399946i | ||||
\(809\) | 2.17707 | − | 4.76712i | 0.0765418 | − | 0.167603i | −0.867493 | − | 0.497450i | \(-0.834270\pi\) |
0.944034 | + | 0.329847i | \(0.106997\pi\) | |||||||
\(810\) | 18.5161 | − | 11.8996i | 0.650589 | − | 0.418108i | ||||
\(811\) | 0.377442 | + | 0.242568i | 0.0132538 | + | 0.00851770i | 0.547251 | − | 0.836969i | \(-0.315674\pi\) |
−0.533997 | + | 0.845486i | \(0.679311\pi\) | |||||||
\(812\) | 2.84442 | + | 6.22841i | 0.0998195 | + | 0.218574i | ||||
\(813\) | −6.91311 | + | 48.0818i | −0.242453 | + | 1.68630i | ||||
\(814\) | −56.1504 | − | 44.0058i | −1.96807 | − | 1.54240i | ||||
\(815\) | 1.72655 | + | 12.0085i | 0.0604786 | + | 0.420638i | ||||
\(816\) | −32.0691 | + | 20.6096i | −1.12264 | + | 0.721480i | ||||
\(817\) | 0.542984 | − | 0.348954i | 0.0189966 | − | 0.0122084i | ||||
\(818\) | −2.24920 | + | 15.6435i | −0.0786414 | + | 0.546963i | ||||
\(819\) | −38.1294 | + | 24.5043i | −1.33235 | + | 0.856249i | ||||
\(820\) | 23.4270 | 0.818107 | ||||||||
\(821\) | −20.5610 | − | 23.7286i | −0.717582 | − | 0.828134i | 0.273432 | − | 0.961891i | \(-0.411841\pi\) |
−0.991014 | + | 0.133757i | \(0.957296\pi\) | |||||||
\(822\) | −3.29028 | − | 22.8844i | −0.114762 | − | 0.798184i | ||||
\(823\) | −7.28005 | − | 8.40163i | −0.253767 | − | 0.292862i | 0.614545 | − | 0.788882i | \(-0.289340\pi\) |
−0.868311 | + | 0.496020i | \(0.834794\pi\) | |||||||
\(824\) | 6.70289 | + | 14.6773i | 0.233506 | + | 0.511307i | ||||
\(825\) | −5.60960 | + | 5.36664i | −0.195301 | + | 0.186842i | ||||
\(826\) | −4.96420 | + | 10.8701i | −0.172727 | + | 0.378219i | ||||
\(827\) | 14.3157 | − | 4.20346i | 0.497804 | − | 0.146168i | −0.0231860 | − | 0.999731i | \(-0.507381\pi\) |
0.520990 | + | 0.853563i | \(0.325563\pi\) | |||||||
\(828\) | −1.43706 | + | 9.99498i | −0.0499413 | + | 0.347350i | ||||
\(829\) | 37.9959 | + | 11.1566i | 1.31965 | + | 0.387485i | 0.864367 | − | 0.502862i | \(-0.167719\pi\) |
0.455284 | + | 0.890346i | \(0.349538\pi\) | |||||||
\(830\) | 0.845012 | + | 5.87719i | 0.0293308 | + | 0.204000i | ||||
\(831\) | −3.01914 | − | 6.61098i | −0.104733 | − | 0.229333i | ||||
\(832\) | 49.0608 | − | 56.6192i | 1.70088 | − | 1.96292i | ||||
\(833\) | −5.12720 | + | 5.91710i | −0.177647 | + | 0.205015i | ||||
\(834\) | 51.0714 | + | 32.8216i | 1.76846 | + | 1.13652i | ||||
\(835\) | 3.37588 | + | 2.16955i | 0.116827 | + | 0.0750803i | ||||
\(836\) | −3.36745 | − | 0.315886i | −0.116466 | − | 0.0109252i | ||||
\(837\) | 3.48201 | − | 2.23775i | 0.120356 | − | 0.0773480i | ||||
\(838\) | −52.4385 | −1.81146 | ||||||||
\(839\) | 26.2666 | + | 30.3133i | 0.906824 | + | 1.04653i | 0.998711 | + | 0.0507611i | \(0.0161647\pi\) |
−0.0918869 | + | 0.995769i | \(0.529290\pi\) | |||||||
\(840\) | 3.41945 | − | 7.48755i | 0.117982 | − | 0.258345i | ||||
\(841\) | 26.9985 | + | 7.92746i | 0.930981 | + | 0.273361i | ||||
\(842\) | 16.4678 | − | 19.0049i | 0.567519 | − | 0.654952i | ||||
\(843\) | −29.1442 | − | 18.7298i | −1.00378 | − | 0.645090i | ||||
\(844\) | 39.9686 | 1.37578 | ||||||||
\(845\) | −26.5808 | − | 7.80482i | −0.914407 | − | 0.268494i | ||||
\(846\) | −66.2496 | −2.27771 | ||||||||
\(847\) | −22.8876 | − | 21.6780i | −0.786428 | − | 0.744865i | ||||
\(848\) | 7.13418 | 0.244989 | ||||||||
\(849\) | −34.9773 | − | 10.2703i | −1.20042 | − | 0.352474i | ||||
\(850\) | −13.8034 | −0.473454 | ||||||||
\(851\) | 13.3910 | + | 8.60589i | 0.459038 | + | 0.295006i | ||||
\(852\) | −25.3978 | + | 29.3107i | −0.870116 | + | 1.00417i | ||||
\(853\) | 26.5876 | + | 7.80683i | 0.910343 | + | 0.267301i | 0.703185 | − | 0.711007i | \(-0.251761\pi\) |
0.207158 | + | 0.978308i | \(0.433579\pi\) | |||||||
\(854\) | −24.6637 | + | 54.0060i | −0.843975 | + | 1.84805i | ||||
\(855\) | 0.643213 | + | 0.742307i | 0.0219974 | + | 0.0253864i | ||||
\(856\) | −5.31065 | −0.181514 | ||||||||
\(857\) | −3.37038 | + | 2.16601i | −0.115130 | + | 0.0739895i | −0.596939 | − | 0.802287i | \(-0.703616\pi\) |
0.481809 | + | 0.876276i | \(0.339980\pi\) | |||||||
\(858\) | 24.8009 | − | 102.980i | 0.846687 | − | 3.51567i | ||||
\(859\) | −0.521041 | − | 0.334853i | −0.0177777 | − | 0.0114250i | 0.531722 | − | 0.846919i | \(-0.321545\pi\) |
−0.549499 | + | 0.835494i | \(0.685182\pi\) | |||||||
\(860\) | −3.52710 | − | 2.26673i | −0.120273 | − | 0.0772949i | ||||
\(861\) | 39.9851 | − | 46.1452i | 1.36269 | − | 1.57263i | ||||
\(862\) | −33.2790 | + | 38.4060i | −1.13349 | + | 1.30811i | ||||
\(863\) | 12.8857 | + | 28.2158i | 0.438636 | + | 0.960478i | 0.991847 | + | 0.127437i | \(0.0406750\pi\) |
−0.553211 | + | 0.833041i | \(0.686598\pi\) | |||||||
\(864\) | 1.36262 | + | 9.47724i | 0.0463573 | + | 0.322422i | ||||
\(865\) | −6.04400 | − | 1.77468i | −0.205502 | − | 0.0603409i | ||||
\(866\) | −1.56372 | + | 10.8759i | −0.0531374 | + | 0.369579i | ||||
\(867\) | −55.3799 | + | 16.2610i | −1.88080 | + | 0.552253i | ||||
\(868\) | 10.3987 | − | 22.7699i | 0.352954 | − | 0.772862i | ||||
\(869\) | 45.8871 | + | 4.30447i | 1.55661 | + | 0.146019i | ||||
\(870\) | 1.93045 | + | 4.22709i | 0.0654482 | + | 0.143312i | ||||
\(871\) | 36.8721 | + | 42.5526i | 1.24936 | + | 1.44184i | ||||
\(872\) | −1.32289 | − | 9.20089i | −0.0447986 | − | 0.311581i | ||||
\(873\) | 11.6048 | + | 13.3927i | 0.392763 | + | 0.453273i | ||||
\(874\) | 1.34111 | 0.0453636 | ||||||||
\(875\) | −2.41090 | + | 1.54939i | −0.0815033 | + | 0.0523790i | ||||
\(876\) | 7.57425 | − | 52.6801i | 0.255910 | − | 1.77989i | ||||
\(877\) | −7.96539 | + | 5.11904i | −0.268972 | + | 0.172858i | −0.668174 | − | 0.744005i | \(-0.732924\pi\) |
0.399202 | + | 0.916863i | \(0.369287\pi\) | |||||||
\(878\) | 20.0638 | − | 12.8942i | 0.677120 | − | 0.435158i | ||||
\(879\) | −0.0663164 | − | 0.461241i | −0.00223680 | − | 0.0155573i | ||||
\(880\) | −2.75032 | − | 7.90385i | −0.0927132 | − | 0.266439i | ||||
\(881\) | −1.19852 | + | 8.33588i | −0.0403791 | + | 0.280843i | −1.00000 | 0.000453906i | \(-0.999856\pi\) | |
0.959621 | + | 0.281297i | \(0.0907646\pi\) | |||||||
\(882\) | −2.67158 | − | 5.84994i | −0.0899567 | − | 0.196978i | ||||
\(883\) | −18.2271 | − | 11.7138i | −0.613389 | − | 0.394201i | 0.196737 | − | 0.980456i | \(-0.436965\pi\) |
−0.810127 | + | 0.586255i | \(0.800602\pi\) | |||||||
\(884\) | 89.1578 | − | 57.2983i | 2.99870 | − | 1.92715i | ||||
\(885\) | −1.89587 | + | 4.15138i | −0.0637290 | + | 0.139547i | ||||
\(886\) | 11.1285 | + | 7.15187i | 0.373870 | + | 0.240272i | ||||
\(887\) | 27.0291 | 0.907547 | 0.453774 | − | 0.891117i | \(-0.350078\pi\) | ||||
0.453774 | + | 0.891117i | \(0.350078\pi\) | |||||||
\(888\) | 27.7180 | + | 8.13874i | 0.930155 | + | 0.273118i | ||||
\(889\) | 8.81787 | − | 10.1764i | 0.295742 | − | 0.341304i | ||||
\(890\) | −10.5436 | − | 12.1679i | −0.353421 | − | 0.407870i | ||||
\(891\) | 19.8458 | + | 27.7713i | 0.664858 | + | 0.930374i | ||||
\(892\) | −14.5186 | + | 16.7554i | −0.486120 | + | 0.561012i | ||||
\(893\) | 0.704639 | + | 4.90087i | 0.0235799 | + | 0.164002i | ||||
\(894\) | 110.323 | − | 32.3939i | 3.68977 | − | 1.08341i | ||||
\(895\) | 5.22355 | + | 11.4380i | 0.174604 | + | 0.382329i | ||||
\(896\) | 17.6650 | + | 20.3865i | 0.590147 | + | 0.681066i | ||||
\(897\) | −3.36357 | + | 23.3941i | −0.112306 | + | 0.781107i | ||||
\(898\) | −8.95103 | − | 62.2558i | −0.298700 | − | 2.07750i | ||||
\(899\) | 1.30872 | + | 2.86570i | 0.0436482 | + | 0.0955763i | ||||
\(900\) | 2.65045 | − | 5.80367i | 0.0883482 | − | 0.193456i | ||||
\(901\) | 17.5096 | + | 5.14127i | 0.583328 | + | 0.171280i | ||||
\(902\) | 3.17956 | + | 64.4843i | 0.105868 | + | 2.14709i | ||||
\(903\) | −10.4849 | + | 3.07865i | −0.348916 | + | 0.102451i | ||||
\(904\) | −3.19753 | + | 22.2393i | −0.106348 | + | 0.739668i | ||||
\(905\) | −2.30888 | + | 5.05574i | −0.0767497 | + | 0.168058i | ||||
\(906\) | −21.7320 | + | 6.38109i | −0.721997 | + | 0.211998i | ||||
\(907\) | 21.9801 | − | 6.45394i | 0.729838 | − | 0.214300i | 0.104358 | − | 0.994540i | \(-0.466721\pi\) |
0.625480 | + | 0.780240i | \(0.284903\pi\) | |||||||
\(908\) | −42.9140 | + | 12.6007i | −1.42415 | + | 0.418169i | ||||
\(909\) | −40.7601 | + | 11.9682i | −1.35193 | + | 0.396961i | ||||
\(910\) | 16.2437 | − | 35.5687i | 0.538473 | − | 1.17909i | ||||
\(911\) | 4.64505 | − | 32.3070i | 0.153897 | − | 1.07038i | −0.755709 | − | 0.654908i | \(-0.772707\pi\) |
0.909606 | − | 0.415472i | \(-0.136384\pi\) | |||||||
\(912\) | −2.24538 | + | 0.659303i | −0.0743520 | + | 0.0218317i | ||||
\(913\) | −9.03882 | + | 1.75773i | −0.299141 | + | 0.0581724i | ||||
\(914\) | −7.50772 | − | 2.20447i | −0.248333 | − | 0.0729172i | ||||
\(915\) | −9.41928 | + | 20.6254i | −0.311392 | + | 0.681853i | ||||
\(916\) | −20.2554 | − | 44.3532i | −0.669258 | − | 1.46547i | ||||
\(917\) | −2.60474 | − | 18.1164i | −0.0860161 | − | 0.598255i | ||||
\(918\) | −2.39589 | + | 16.6637i | −0.0790760 | + | 0.549986i | ||||
\(919\) | −12.6996 | − | 14.6562i | −0.418923 | − | 0.483462i | 0.506586 | − | 0.862190i | \(-0.330907\pi\) |
−0.925508 | + | 0.378727i | \(0.876362\pi\) | |||||||
\(920\) | −0.806758 | − | 1.76655i | −0.0265980 | − | 0.0582415i | ||||
\(921\) | 32.5264 | − | 9.55062i | 1.07178 | − | 0.314704i | ||||
\(922\) | 8.65140 | + | 60.1718i | 0.284919 | + | 1.98165i | ||||
\(923\) | −26.8963 | + | 31.0399i | −0.885301 | + | 1.02169i | ||||
\(924\) | 53.1956 | + | 21.1935i | 1.75001 | + | 0.697213i | ||||
\(925\) | −6.58639 | − | 7.60110i | −0.216559 | − | 0.249923i | ||||
\(926\) | −19.9595 | + | 23.0345i | −0.655909 | + | 0.756959i | ||||
\(927\) | 31.2764 | + | 9.18357i | 1.02725 | + | 0.301628i | ||||
\(928\) | −7.28763 | −0.239228 | ||||||||
\(929\) | −9.27386 | − | 5.95995i | −0.304266 | − | 0.195540i | 0.379594 | − | 0.925153i | \(-0.376064\pi\) |
−0.683860 | + | 0.729613i | \(0.739700\pi\) | |||||||
\(930\) | 7.05736 | − | 15.4535i | 0.231420 | − | 0.506739i | ||||
\(931\) | −0.404339 | + | 0.259853i | −0.0132517 | + | 0.00851633i | ||||
\(932\) | −1.84111 | − | 1.18321i | −0.0603075 | − | 0.0387573i | ||||
\(933\) | 30.6396 | + | 67.0913i | 1.00309 | + | 2.19647i | ||||
\(934\) | −4.29104 | + | 29.8448i | −0.140407 | + | 0.976552i | ||||
\(935\) | −1.05422 | − | 21.3806i | −0.0344768 | − | 0.699220i | ||||
\(936\) | 2.76187 | + | 19.2092i | 0.0902746 | + | 0.627874i | ||||
\(937\) | −24.8911 | + | 15.9966i | −0.813158 | + | 0.522585i | −0.879885 | − | 0.475186i | \(-0.842381\pi\) |
0.0667274 | + | 0.997771i | \(0.478744\pi\) | |||||||
\(938\) | −45.5042 | + | 29.2438i | −1.48577 | + | 0.954844i | ||||
\(939\) | 0.300250 | − | 2.08829i | 0.00979830 | − | 0.0681487i | ||||
\(940\) | 27.0567 | − | 17.3883i | 0.882492 | − | 0.567143i | ||||
\(941\) | −0.416817 | −0.0135879 | −0.00679393 | − | 0.999977i | \(-0.502163\pi\) | ||||
−0.00679393 | + | 0.999977i | \(0.502163\pi\) | |||||||
\(942\) | 12.4983 | + | 14.4238i | 0.407217 | + | 0.469954i | ||||
\(943\) | −2.05015 | − | 14.2591i | −0.0667621 | − | 0.464341i | ||||
\(944\) | −3.22173 | − | 3.71807i | −0.104858 | − | 0.121013i | ||||
\(945\) | 1.45199 | + | 3.17941i | 0.0472332 | + | 0.103426i | ||||
\(946\) | 5.76061 | − | 10.0162i | 0.187294 | − | 0.325655i | ||||
\(947\) | −13.8233 | + | 30.2687i | −0.449196 | + | 0.983602i | 0.540622 | + | 0.841265i | \(0.318189\pi\) |
−0.989818 | + | 0.142336i | \(0.954539\pi\) | |||||||
\(948\) | −80.3260 | + | 23.5859i | −2.60887 | + | 0.766033i | ||||
\(949\) | 8.02112 | − | 55.7881i | 0.260376 | − | 1.81096i | ||||
\(950\) | −0.813049 | − | 0.238733i | −0.0263788 | − | 0.00774551i | ||||
\(951\) | 0.881536 | + | 6.13122i | 0.0285858 | + | 0.198818i | ||||
\(952\) | 9.42883 | + | 20.6463i | 0.305590 | + | 0.669149i | ||||
\(953\) | 3.91456 | − | 4.51765i | 0.126805 | − | 0.146341i | −0.688797 | − | 0.724955i | \(-0.741861\pi\) |
0.815602 | + | 0.578614i | \(0.196406\pi\) | |||||||
\(954\) | −9.81604 | + | 11.3283i | −0.317806 | + | 0.366768i | ||||
\(955\) | 11.6281 | + | 7.47294i | 0.376277 | + | 0.241819i | ||||
\(956\) | 7.29572 | + | 4.68867i | 0.235960 | + | 0.151643i | ||||
\(957\) | −6.40003 | + | 3.31297i | −0.206884 | + | 0.107093i | ||||
\(958\) | 11.6988 | − | 7.51837i | 0.377971 | − | 0.242907i | ||||
\(959\) | 13.2358 | 0.427405 | ||||||||
\(960\) | 17.9999 | + | 20.7730i | 0.580945 | + | 0.670446i | ||||
\(961\) | −8.09342 | + | 17.7221i | −0.261078 | + | 0.571681i | ||||
\(962\) | 131.671 | + | 38.6621i | 4.24525 | + | 1.24652i | ||||
\(963\) | −7.02573 | + | 8.10813i | −0.226401 | + | 0.261281i | ||||
\(964\) | −23.4124 | − | 15.0462i | −0.754063 | − | 0.484607i | ||||
\(965\) | 19.7570 | 0.636002 | ||||||||
\(966\) | −21.7855 | − | 6.39681i | −0.700938 | − | 0.205814i | ||||
\(967\) | −29.2255 | −0.939829 | −0.469914 | − | 0.882712i | \(-0.655715\pi\) | ||||
−0.469914 | + | 0.882712i | \(0.655715\pi\) | |||||||
\(968\) | −12.5142 | + | 5.05842i | −0.402221 | + | 0.162584i | ||||
\(969\) | −5.98601 | −0.192298 | ||||||||
\(970\) | −14.6690 | − | 4.30720i | −0.470993 | − | 0.138296i | ||||
\(971\) | 28.6745 | 0.920209 | 0.460105 | − | 0.887865i | \(-0.347812\pi\) | ||||
0.460105 | + | 0.887865i | \(0.347812\pi\) | |||||||
\(972\) | −44.2369 | − | 28.4293i | −1.41890 | − | 0.911871i | ||||
\(973\) | −22.7597 | + | 26.2661i | −0.729643 | + | 0.842052i | ||||
\(974\) | −82.2455 | − | 24.1495i | −2.63532 | − | 0.773799i | ||||
\(975\) | 6.20360 | − | 13.5840i | 0.198674 | − | 0.435036i | ||||
\(976\) | −16.0065 | − | 18.4725i | −0.512357 | − | 0.591291i | ||||
\(977\) | 0.906445 | 0.0289997 | 0.0144999 | − | 0.999895i | \(-0.495384\pi\) | ||||
0.0144999 | + | 0.999895i | \(0.495384\pi\) | |||||||
\(978\) | 51.0908 | − | 32.8341i | 1.63370 | − | 1.04992i | ||||
\(979\) | 18.0420 | − | 17.2606i | 0.576626 | − | 0.551651i | ||||
\(980\) | 2.62650 | + | 1.68795i | 0.0839004 | + | 0.0539195i | ||||
\(981\) | −15.7977 | − | 10.1526i | −0.504383 | − | 0.324147i | ||||
\(982\) | 8.69224 | − | 10.0314i | 0.277380 | − | 0.320114i | ||||
\(983\) | −12.9773 | + | 14.9766i | −0.413911 | + | 0.477679i | −0.923972 | − | 0.382459i | \(-0.875077\pi\) |
0.510061 | + | 0.860138i | \(0.329623\pi\) | |||||||
\(984\) | −10.8605 | − | 23.7813i | −0.346221 | − | 0.758119i | ||||
\(985\) | −2.22505 | − | 15.4756i | −0.0708960 | − | 0.493093i | ||||
\(986\) | −12.2947 | − | 3.61006i | −0.391544 | − | 0.114968i | ||||
\(987\) | 11.9297 | − | 82.9730i | 0.379727 | − | 2.64106i | ||||
\(988\) | 6.24255 | − | 1.83298i | 0.198602 | − | 0.0583148i | ||||
\(989\) | −1.07101 | + | 2.34518i | −0.0340560 | + | 0.0745723i | ||||
\(990\) | 16.3347 | + | 6.50783i | 0.519150 | + | 0.206832i | ||||
\(991\) | −1.90542 | − | 4.17228i | −0.0605276 | − | 0.132537i | 0.876951 | − | 0.480580i | \(-0.159574\pi\) |
−0.937479 | + | 0.348043i | \(0.886846\pi\) | |||||||
\(992\) | 17.4470 | + | 20.1349i | 0.553942 | + | 0.639283i | ||||
\(993\) | 0.454963 | + | 3.16434i | 0.0144378 | + | 0.100417i | ||||
\(994\) | −25.8386 | − | 29.8193i | −0.819549 | − | 0.945811i | ||||
\(995\) | 12.9338 | 0.410029 | ||||||||
\(996\) | 14.0709 | − | 9.04279i | 0.445852 | − | 0.286532i | ||||
\(997\) | −3.44055 | + | 23.9295i | −0.108963 | + | 0.757855i | 0.859936 | + | 0.510401i | \(0.170503\pi\) |
−0.968900 | + | 0.247454i | \(0.920406\pi\) | |||||||
\(998\) | −69.8174 | + | 44.8689i | −2.21003 | + | 1.42030i | ||||
\(999\) | −10.3194 | + | 6.63187i | −0.326491 | + | 0.209823i |
(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 | 605.2.k.a.56.20 | ✓ | 220 | |
121.67 | even | 11 | inner | 605.2.k.a.551.20 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.k.a.56.20 | ✓ | 220 | 1.1 | even | 1 | trivial | |
605.2.k.a.551.20 | yes | 220 | 121.67 | even | 11 | inner |