Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(3,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.w (of order \(84\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 103.13 | ||
Character | \(\chi\) | \(=\) | 490.103 |
Dual form | 490.2.w.a.157.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.593820 | + | 0.804598i | −0.419894 | + | 0.568937i | ||||
\(3\) | 2.98339 | − | 0.564488i | 1.72246 | − | 0.325907i | 0.771737 | − | 0.635942i | \(-0.219388\pi\) |
0.950725 | + | 0.310034i | \(0.100341\pi\) | |||||||
\(4\) | −0.294755 | − | 0.955573i | −0.147378 | − | 0.477786i | ||||
\(5\) | 1.30513 | + | 1.81567i | 0.583671 | + | 0.811990i | ||||
\(6\) | −1.31741 | + | 2.73564i | −0.537831 | + | 1.11682i | ||||
\(7\) | −1.78375 | + | 1.95403i | −0.674196 | + | 0.738553i | ||||
\(8\) | 0.943883 | + | 0.330279i | 0.333713 | + | 0.116771i | ||||
\(9\) | 5.78936 | − | 2.27216i | 1.92979 | − | 0.757385i | ||||
\(10\) | −2.23589 | − | 0.0280754i | −0.707051 | − | 0.00887823i | ||||
\(11\) | −1.15717 | + | 2.94842i | −0.348900 | + | 0.888982i | 0.643446 | + | 0.765491i | \(0.277504\pi\) |
−0.992346 | + | 0.123490i | \(0.960591\pi\) | |||||||
\(12\) | −1.41878 | − | 2.68446i | −0.409566 | − | 0.774938i | ||||
\(13\) | 1.56429 | + | 0.176253i | 0.433855 | + | 0.0488837i | 0.326191 | − | 0.945304i | \(-0.394235\pi\) |
0.107663 | + | 0.994187i | \(0.465663\pi\) | |||||||
\(14\) | −0.512976 | − | 2.59555i | −0.137099 | − | 0.693689i | ||||
\(15\) | 4.91863 | + | 4.68011i | 1.26999 | + | 1.20840i | ||||
\(16\) | −0.826239 | + | 0.563320i | −0.206560 | + | 0.140830i | ||||
\(17\) | −3.21238 | − | 0.120199i | −0.779118 | − | 0.0291525i | −0.355126 | − | 0.934819i | \(-0.615562\pi\) |
−0.423992 | + | 0.905666i | \(0.639371\pi\) | |||||||
\(18\) | −1.60967 | + | 6.00736i | −0.379402 | + | 1.41595i | ||||
\(19\) | 0.602629 | − | 1.04378i | 0.138252 | − | 0.239460i | −0.788583 | − | 0.614929i | \(-0.789185\pi\) |
0.926835 | + | 0.375468i | \(0.122518\pi\) | |||||||
\(20\) | 1.35031 | − | 1.78232i | 0.301938 | − | 0.398539i | ||||
\(21\) | −4.21861 | + | 6.83654i | −0.920577 | + | 1.49185i | ||||
\(22\) | −1.68514 | − | 2.68189i | −0.359273 | − | 0.571780i | ||||
\(23\) | −0.207113 | − | 5.53522i | −0.0431861 | − | 1.15417i | −0.837419 | − | 0.546561i | \(-0.815937\pi\) |
0.794233 | − | 0.607613i | \(-0.207873\pi\) | |||||||
\(24\) | 3.00241 | + | 0.452541i | 0.612865 | + | 0.0923745i | ||||
\(25\) | −1.59328 | + | 4.73935i | −0.318656 | + | 0.947870i | ||||
\(26\) | −1.07072 | + | 1.15396i | −0.209985 | + | 0.226310i | ||||
\(27\) | 8.27653 | − | 5.20049i | 1.59282 | − | 1.00083i | ||||
\(28\) | 2.39299 | + | 1.12855i | 0.452232 | + | 0.213275i | ||||
\(29\) | −4.85261 | + | 1.10758i | −0.901107 | + | 0.205672i | −0.647887 | − | 0.761737i | \(-0.724347\pi\) |
−0.253220 | + | 0.967409i | \(0.581490\pi\) | |||||||
\(30\) | −6.68639 | + | 1.17837i | −1.22076 | + | 0.215141i | ||||
\(31\) | 7.18126 | − | 4.14610i | 1.28979 | − | 0.744662i | 0.311175 | − | 0.950353i | \(-0.399277\pi\) |
0.978617 | + | 0.205691i | \(0.0659441\pi\) | |||||||
\(32\) | 0.0373912 | − | 0.999301i | 0.00660989 | − | 0.176653i | ||||
\(33\) | −1.78794 | + | 9.44950i | −0.311241 | + | 1.64495i | ||||
\(34\) | 2.00429 | − | 2.51330i | 0.343733 | − | 0.431028i | ||||
\(35\) | −5.87589 | − | 0.688446i | −0.993206 | − | 0.116369i | ||||
\(36\) | −3.87765 | − | 4.86243i | −0.646276 | − | 0.810404i | ||||
\(37\) | 9.12321 | − | 4.82176i | 1.49985 | − | 0.792692i | 0.502437 | − | 0.864614i | \(-0.332437\pi\) |
0.997410 | + | 0.0719215i | \(0.0229131\pi\) | |||||||
\(38\) | 0.481973 | + | 1.10469i | 0.0781863 | + | 0.179205i | ||||
\(39\) | 4.76637 | − | 0.357190i | 0.763230 | − | 0.0571962i | ||||
\(40\) | 0.632213 | + | 2.14483i | 0.0999616 | + | 0.339128i | ||||
\(41\) | −2.49904 | − | 5.18930i | −0.390284 | − | 0.810433i | −0.999843 | − | 0.0176927i | \(-0.994368\pi\) |
0.609559 | − | 0.792740i | \(-0.291346\pi\) | |||||||
\(42\) | −2.99556 | − | 7.45396i | −0.462226 | − | 1.15017i | ||||
\(43\) | −3.70501 | − | 10.5883i | −0.565009 | − | 1.61470i | −0.771483 | − | 0.636250i | \(-0.780485\pi\) |
0.206475 | − | 0.978452i | \(-0.433801\pi\) | |||||||
\(44\) | 3.15851 | + | 0.236698i | 0.476163 | + | 0.0356835i | ||||
\(45\) | 11.6813 | + | 7.54608i | 1.74135 | + | 1.12490i | ||||
\(46\) | 4.57662 | + | 3.12028i | 0.674785 | + | 0.460061i | ||||
\(47\) | 4.33299 | + | 3.19789i | 0.632032 | + | 0.466461i | 0.862117 | − | 0.506710i | \(-0.169139\pi\) |
−0.230085 | + | 0.973171i | \(0.573900\pi\) | |||||||
\(48\) | −2.14701 | + | 2.14701i | −0.309894 | + | 0.309894i | ||||
\(49\) | −0.636441 | − | 6.97101i | −0.0909201 | − | 0.995858i | ||||
\(50\) | −2.86715 | − | 4.09627i | −0.405476 | − | 0.579300i | ||||
\(51\) | −9.65165 | + | 1.45475i | −1.35150 | + | 0.203706i | ||||
\(52\) | −0.292659 | − | 1.54674i | −0.0405845 | − | 0.214494i | ||||
\(53\) | 5.11418 | + | 2.70292i | 0.702486 | + | 0.371275i | 0.780054 | − | 0.625712i | \(-0.215192\pi\) |
−0.0775675 | + | 0.996987i | \(0.524715\pi\) | |||||||
\(54\) | −0.730469 | + | 9.74744i | −0.0994043 | + | 1.32646i | ||||
\(55\) | −6.86359 | + | 1.74703i | −0.925487 | + | 0.235570i | ||||
\(56\) | −2.32903 | + | 1.25524i | −0.311230 | + | 0.167738i | ||||
\(57\) | 1.20867 | − | 3.45419i | 0.160093 | − | 0.457519i | ||||
\(58\) | 1.99042 | − | 4.56210i | 0.261355 | − | 0.599033i | ||||
\(59\) | 0.468417 | + | 6.25059i | 0.0609827 | + | 0.813757i | 0.940912 | + | 0.338652i | \(0.109971\pi\) |
−0.879929 | + | 0.475105i | \(0.842410\pi\) | |||||||
\(60\) | 3.02240 | − | 6.07960i | 0.390190 | − | 0.784873i | ||||
\(61\) | −1.92550 | + | 6.24231i | −0.246535 | + | 0.799246i | 0.744731 | + | 0.667365i | \(0.232578\pi\) |
−0.991266 | + | 0.131881i | \(0.957898\pi\) | |||||||
\(62\) | −0.928432 | + | 8.24006i | −0.117911 | + | 1.04649i | ||||
\(63\) | −5.88694 | + | 15.3655i | −0.741685 | + | 1.93588i | ||||
\(64\) | 0.781831 | + | 0.623490i | 0.0977289 | + | 0.0779362i | ||||
\(65\) | 1.72158 | + | 3.07025i | 0.213535 | + | 0.380818i | ||||
\(66\) | −6.54133 | − | 7.04987i | −0.805182 | − | 0.867780i | ||||
\(67\) | −14.3232 | − | 3.83789i | −1.74986 | − | 0.468873i | −0.765263 | − | 0.643718i | \(-0.777391\pi\) |
−0.984596 | + | 0.174844i | \(0.944058\pi\) | |||||||
\(68\) | 0.832008 | + | 3.10510i | 0.100896 | + | 0.376548i | ||||
\(69\) | −3.74247 | − | 16.3968i | −0.450540 | − | 1.97395i | ||||
\(70\) | 4.04314 | − | 4.31891i | 0.483248 | − | 0.516209i | ||||
\(71\) | 0.494316 | − | 2.16574i | 0.0586645 | − | 0.257026i | −0.937088 | − | 0.349092i | \(-0.886490\pi\) |
0.995753 | + | 0.0920663i | \(0.0293472\pi\) | |||||||
\(72\) | 6.21493 | − | 0.232546i | 0.732436 | − | 0.0274058i | ||||
\(73\) | −5.02060 | + | 3.70537i | −0.587617 | + | 0.433681i | −0.846622 | − | 0.532195i | \(-0.821367\pi\) |
0.259005 | + | 0.965876i | \(0.416606\pi\) | |||||||
\(74\) | −1.53797 | + | 10.2038i | −0.178786 | + | 1.18616i | ||||
\(75\) | −2.07807 | + | 15.0387i | −0.239955 | + | 1.73652i | ||||
\(76\) | −1.17504 | − | 0.268195i | −0.134786 | − | 0.0307641i | ||||
\(77\) | −3.69718 | − | 7.52039i | −0.421333 | − | 0.857028i | ||||
\(78\) | −2.54297 | + | 4.04712i | −0.287935 | + | 0.458246i | ||||
\(79\) | 4.24828 | + | 2.45274i | 0.477968 | + | 0.275955i | 0.719569 | − | 0.694421i | \(-0.244339\pi\) |
−0.241601 | + | 0.970376i | \(0.577673\pi\) | |||||||
\(80\) | −2.10115 | − | 0.764968i | −0.234916 | − | 0.0855260i | ||||
\(81\) | 8.07938 | − | 7.49657i | 0.897708 | − | 0.832952i | ||||
\(82\) | 5.65928 | + | 1.07079i | 0.624963 | + | 0.118249i | ||||
\(83\) | 0.286247 | + | 2.54051i | 0.0314197 | + | 0.278857i | 0.999592 | + | 0.0285717i | \(0.00909589\pi\) |
−0.968172 | + | 0.250285i | \(0.919476\pi\) | |||||||
\(84\) | 7.77627 | + | 2.01609i | 0.848460 | + | 0.219973i | ||||
\(85\) | −3.97433 | − | 5.98949i | −0.431077 | − | 0.649651i | ||||
\(86\) | 10.7194 | + | 3.30651i | 1.15591 | + | 0.356550i | ||||
\(87\) | −13.8520 | + | 6.04358i | −1.48509 | + | 0.647939i | ||||
\(88\) | −2.06603 | + | 2.40077i | −0.220240 | + | 0.255923i | ||||
\(89\) | 4.91381 | + | 12.5202i | 0.520863 | + | 1.32714i | 0.913274 | + | 0.407347i | \(0.133546\pi\) |
−0.392411 | + | 0.919790i | \(0.628359\pi\) | |||||||
\(90\) | −13.0082 | + | 4.91776i | −1.37118 | + | 0.518377i | ||||
\(91\) | −3.13470 | + | 2.74226i | −0.328606 | + | 0.287467i | ||||
\(92\) | −5.22826 | + | 1.82945i | −0.545084 | + | 0.190733i | ||||
\(93\) | 19.0841 | − | 16.4232i | 1.97893 | − | 1.70300i | ||||
\(94\) | −5.14603 | + | 1.58734i | −0.530773 | + | 0.163722i | ||||
\(95\) | 2.68167 | − | 0.268099i | 0.275133 | − | 0.0275064i | ||||
\(96\) | −0.452541 | − | 3.00241i | −0.0461873 | − | 0.306432i | ||||
\(97\) | −6.85360 | − | 6.85360i | −0.695877 | − | 0.695877i | 0.267641 | − | 0.963519i | \(-0.413756\pi\) |
−0.963519 | + | 0.267641i | \(0.913756\pi\) | |||||||
\(98\) | 5.98679 | + | 3.62745i | 0.604757 | + | 0.366427i | ||||
\(99\) | 19.6987i | 1.97980i | ||||||||
\(100\) | 4.99842 | + | 0.125547i | 0.499842 | + | 0.0125547i | ||||
\(101\) | 7.54388 | − | 11.0648i | 0.750644 | − | 1.10099i | −0.240815 | − | 0.970571i | \(-0.577415\pi\) |
0.991459 | − | 0.130421i | \(-0.0416329\pi\) | |||||||
\(102\) | 4.56086 | − | 8.62956i | 0.451592 | − | 0.854454i | ||||
\(103\) | −6.67162 | − | 7.75256i | −0.657374 | − | 0.763883i | 0.326020 | − | 0.945363i | \(-0.394292\pi\) |
−0.983395 | + | 0.181480i | \(0.941911\pi\) | |||||||
\(104\) | 1.41829 | + | 0.683013i | 0.139075 | + | 0.0669749i | ||||
\(105\) | −17.9187 | + | 1.26297i | −1.74869 | + | 0.123253i | ||||
\(106\) | −5.21167 | + | 2.50981i | −0.506202 | + | 0.243774i | ||||
\(107\) | −11.5114 | − | 5.02238i | −1.11285 | − | 0.485532i | −0.238654 | − | 0.971105i | \(-0.576706\pi\) |
−0.874196 | + | 0.485573i | \(0.838611\pi\) | |||||||
\(108\) | −7.40900 | − | 6.37596i | −0.712931 | − | 0.613527i | ||||
\(109\) | 5.84353 | + | 2.29342i | 0.559709 | + | 0.219669i | 0.628294 | − | 0.777976i | \(-0.283753\pi\) |
−0.0685856 | + | 0.997645i | \(0.521849\pi\) | |||||||
\(110\) | 2.67008 | − | 6.55986i | 0.254582 | − | 0.625458i | ||||
\(111\) | 24.4963 | − | 19.5351i | 2.32509 | − | 1.85419i | ||||
\(112\) | 0.373065 | − | 2.61932i | 0.0352513 | − | 0.247502i | ||||
\(113\) | −1.74298 | + | 0.196386i | −0.163965 | + | 0.0184745i | −0.193565 | − | 0.981087i | \(-0.562005\pi\) |
0.0296001 | + | 0.999562i | \(0.490577\pi\) | |||||||
\(114\) | 2.06150 | + | 3.02366i | 0.193077 | + | 0.283192i | ||||
\(115\) | 9.77980 | − | 7.60022i | 0.911971 | − | 0.708725i | ||||
\(116\) | 2.48870 | + | 4.31056i | 0.231070 | + | 0.400225i | ||||
\(117\) | 9.45668 | − | 2.53391i | 0.874271 | − | 0.234260i | ||||
\(118\) | −5.30737 | − | 3.33484i | −0.488583 | − | 0.306997i | ||||
\(119\) | 5.96498 | − | 6.06268i | 0.546809 | − | 0.555765i | ||||
\(120\) | 3.09687 | + | 6.04200i | 0.282704 | + | 0.551557i | ||||
\(121\) | 0.709440 | + | 0.658264i | 0.0644946 | + | 0.0598422i | ||||
\(122\) | −3.87915 | − | 5.25606i | −0.351202 | − | 0.475862i | ||||
\(123\) | −10.3849 | − | 14.0710i | −0.936376 | − | 1.26874i | ||||
\(124\) | −6.07862 | − | 5.64013i | −0.545876 | − | 0.506499i | ||||
\(125\) | −10.6845 | + | 3.29260i | −0.955652 | + | 0.294499i | ||||
\(126\) | −8.86729 | − | 13.8610i | −0.789961 | − | 1.23483i | ||||
\(127\) | −6.61574 | − | 4.15694i | −0.587052 | − | 0.368869i | 0.205515 | − | 0.978654i | \(-0.434113\pi\) |
−0.792567 | + | 0.609785i | \(0.791256\pi\) | |||||||
\(128\) | −0.965926 | + | 0.258819i | −0.0853766 | + | 0.0228766i | ||||
\(129\) | −17.0305 | − | 29.4976i | −1.49945 | − | 2.59712i | ||||
\(130\) | −3.49262 | − | 0.438000i | −0.306323 | − | 0.0384151i | ||||
\(131\) | −7.78484 | − | 11.4183i | −0.680165 | − | 0.997618i | −0.998763 | − | 0.0497283i | \(-0.984164\pi\) |
0.318598 | − | 0.947890i | \(-0.396788\pi\) | |||||||
\(132\) | 9.55669 | − | 1.07678i | 0.831803 | − | 0.0937217i | ||||
\(133\) | 0.964639 | + | 3.03941i | 0.0836448 | + | 0.263550i | ||||
\(134\) | 11.5934 | − | 9.24541i | 1.00151 | − | 0.798682i | ||||
\(135\) | 20.2443 | + | 8.24011i | 1.74235 | + | 0.709196i | ||||
\(136\) | −2.99242 | − | 1.17444i | −0.256598 | − | 0.100707i | ||||
\(137\) | 5.22734 | + | 4.49849i | 0.446602 | + | 0.384332i | 0.846640 | − | 0.532167i | \(-0.178622\pi\) |
−0.400038 | + | 0.916499i | \(0.631003\pi\) | |||||||
\(138\) | 15.4152 | + | 6.72558i | 1.31223 | + | 0.572520i | ||||
\(139\) | 10.2313 | − | 4.92714i | 0.867808 | − | 0.417914i | 0.0536515 | − | 0.998560i | \(-0.482914\pi\) |
0.814157 | + | 0.580645i | \(0.197200\pi\) | |||||||
\(140\) | 1.07409 | + | 5.81776i | 0.0907770 | + | 0.491690i | ||||
\(141\) | 14.7322 | + | 7.09465i | 1.24067 | + | 0.597477i | ||||
\(142\) | 1.44901 | + | 1.68378i | 0.121599 | + | 0.141300i | ||||
\(143\) | −2.32981 | + | 4.40821i | −0.194828 | + | 0.368633i | ||||
\(144\) | −3.50344 | + | 5.13861i | −0.291954 | + | 0.428217i | ||||
\(145\) | −8.34427 | − | 7.36519i | −0.692954 | − | 0.611645i | ||||
\(146\) | − | 6.23989i | − | 0.516417i | ||||||
\(147\) | −5.83380 | − | 20.4380i | −0.481164 | − | 1.68570i | ||||
\(148\) | −7.29666 | − | 7.29666i | −0.599781 | − | 0.599781i | ||||
\(149\) | 0.984105 | + | 6.52911i | 0.0806210 | + | 0.534886i | 0.992288 | + | 0.123955i | \(0.0395580\pi\) |
−0.911667 | + | 0.410930i | \(0.865204\pi\) | |||||||
\(150\) | −10.8661 | − | 10.6023i | −0.887216 | − | 0.865675i | ||||
\(151\) | 9.89993 | − | 3.05373i | 0.805645 | − | 0.248509i | 0.135537 | − | 0.990772i | \(-0.456724\pi\) |
0.670108 | + | 0.742264i | \(0.266248\pi\) | |||||||
\(152\) | 0.913551 | − | 0.786174i | 0.0740988 | − | 0.0637671i | ||||
\(153\) | −18.8708 | + | 6.60316i | −1.52561 | + | 0.533834i | ||||
\(154\) | 8.24635 | + | 1.49102i | 0.664510 | + | 0.120149i | ||||
\(155\) | 16.9004 | + | 7.62757i | 1.35747 | + | 0.612661i | ||||
\(156\) | −1.74623 | − | 4.44933i | −0.139811 | − | 0.356231i | ||||
\(157\) | −8.47471 | + | 9.84779i | −0.676355 | + | 0.785939i | −0.986326 | − | 0.164807i | \(-0.947300\pi\) |
0.309970 | + | 0.950746i | \(0.399681\pi\) | |||||||
\(158\) | −4.49618 | + | 1.96166i | −0.357697 | + | 0.156062i | ||||
\(159\) | 16.7834 | + | 5.17698i | 1.33101 | + | 0.410562i | ||||
\(160\) | 1.86320 | − | 1.23633i | 0.147299 | − | 0.0977401i | ||||
\(161\) | 11.1854 | + | 9.46877i | 0.881534 | + | 0.746244i | ||||
\(162\) | 1.23402 | + | 10.9523i | 0.0969540 | + | 0.860491i | ||||
\(163\) | −12.1296 | − | 2.29505i | −0.950067 | − | 0.179762i | −0.312293 | − | 0.949986i | \(-0.601097\pi\) |
−0.637774 | + | 0.770223i | \(0.720145\pi\) | |||||||
\(164\) | −4.22215 | + | 3.91759i | −0.329695 | + | 0.305912i | ||||
\(165\) | −19.4906 | + | 9.08650i | −1.51734 | + | 0.707383i | ||||
\(166\) | −2.21407 | − | 1.27829i | −0.171845 | − | 0.0992147i | ||||
\(167\) | −9.35018 | + | 14.8807i | −0.723538 | + | 1.15150i | 0.259078 | + | 0.965856i | \(0.416581\pi\) |
−0.982616 | + | 0.185648i | \(0.940562\pi\) | |||||||
\(168\) | −6.23984 | + | 5.05957i | −0.481414 | + | 0.390355i | ||||
\(169\) | −10.2581 | − | 2.34135i | −0.789088 | − | 0.180104i | ||||
\(170\) | 7.17917 | + | 0.358941i | 0.550617 | + | 0.0275295i | ||||
\(171\) | 1.11719 | − | 7.41210i | 0.0854340 | − | 0.566818i | ||||
\(172\) | −9.02583 | + | 6.66136i | −0.688213 | + | 0.507924i | ||||
\(173\) | 7.56579 | − | 0.283092i | 0.575216 | − | 0.0215231i | 0.251799 | − | 0.967780i | \(-0.418978\pi\) |
0.323417 | + | 0.946256i | \(0.395168\pi\) | |||||||
\(174\) | 3.36296 | − | 14.7341i | 0.254946 | − | 1.11699i | ||||
\(175\) | −6.41880 | − | 11.5672i | −0.485216 | − | 0.874395i | ||||
\(176\) | −0.704805 | − | 3.08795i | −0.0531267 | − | 0.232763i | ||||
\(177\) | 4.92586 | + | 18.3835i | 0.370250 | + | 1.38179i | ||||
\(178\) | −12.9916 | − | 3.48110i | −0.973764 | − | 0.260919i | ||||
\(179\) | −2.88557 | − | 3.10991i | −0.215678 | − | 0.232445i | 0.615941 | − | 0.787792i | \(-0.288776\pi\) |
−0.831619 | + | 0.555347i | \(0.812585\pi\) | |||||||
\(180\) | 3.76770 | − | 13.3866i | 0.280828 | − | 0.997779i | ||||
\(181\) | 8.66757 | + | 6.91216i | 0.644256 | + | 0.513777i | 0.890237 | − | 0.455498i | \(-0.150539\pi\) |
−0.245981 | + | 0.969275i | \(0.579110\pi\) | |||||||
\(182\) | −0.344969 | − | 4.15059i | −0.0255708 | − | 0.307662i | ||||
\(183\) | −2.22081 | + | 19.7102i | −0.164167 | + | 1.45702i | ||||
\(184\) | 1.63268 | − | 5.29301i | 0.120363 | − | 0.390206i | ||||
\(185\) | 20.6617 | + | 10.2717i | 1.51908 | + | 0.755190i | ||||
\(186\) | 1.88154 | + | 25.1074i | 0.137961 | + | 1.84097i | ||||
\(187\) | 4.07167 | − | 9.33236i | 0.297750 | − | 0.682450i | ||||
\(188\) | 1.77865 | − | 5.08308i | 0.129721 | − | 0.370722i | ||||
\(189\) | −4.60141 | + | 25.4490i | −0.334703 | + | 1.85114i | ||||
\(190\) | −1.37672 | + | 2.31687i | −0.0998775 | + | 0.168083i | ||||
\(191\) | −1.90545 | + | 25.4264i | −0.137873 | + | 1.83979i | 0.316040 | + | 0.948746i | \(0.397646\pi\) |
−0.453914 | + | 0.891046i | \(0.649973\pi\) | |||||||
\(192\) | 2.68446 | + | 1.41878i | 0.193734 | + | 0.102392i | ||||
\(193\) | −2.86554 | − | 15.1447i | −0.206266 | − | 1.09014i | −0.920650 | − | 0.390388i | \(-0.872341\pi\) |
0.714385 | − | 0.699753i | \(-0.246707\pi\) | |||||||
\(194\) | 9.58419 | − | 1.44458i | 0.688105 | − | 0.103715i | ||||
\(195\) | 6.86926 | + | 8.18795i | 0.491918 | + | 0.586351i | ||||
\(196\) | −6.47371 | + | 2.66291i | −0.462408 | + | 0.190208i | ||||
\(197\) | −7.90016 | + | 7.90016i | −0.562863 | + | 0.562863i | −0.930120 | − | 0.367257i | \(-0.880297\pi\) |
0.367257 | + | 0.930120i | \(0.380297\pi\) | |||||||
\(198\) | −15.8495 | − | 11.6975i | −1.12638 | − | 0.831305i | ||||
\(199\) | −8.30159 | − | 5.65993i | −0.588484 | − | 0.401222i | 0.232146 | − | 0.972681i | \(-0.425425\pi\) |
−0.820631 | + | 0.571459i | \(0.806378\pi\) | |||||||
\(200\) | −3.06918 | + | 3.94717i | −0.217024 | + | 0.279107i | ||||
\(201\) | −44.8982 | − | 3.36466i | −3.16688 | − | 0.237325i | ||||
\(202\) | 4.42303 | + | 12.6403i | 0.311204 | + | 0.889369i | ||||
\(203\) | 6.49163 | − | 11.4578i | 0.455623 | − | 0.804178i | ||||
\(204\) | 4.23500 | + | 8.79406i | 0.296509 | + | 0.615707i | ||||
\(205\) | 6.16047 | − | 11.3101i | 0.430266 | − | 0.789933i | ||||
\(206\) | 10.1994 | − | 0.764342i | 0.710629 | − | 0.0532543i | ||||
\(207\) | −13.7759 | − | 31.5748i | −0.957494 | − | 2.19460i | ||||
\(208\) | −1.39176 | + | 0.735567i | −0.0965012 | + | 0.0510024i | ||||
\(209\) | 2.38017 | + | 2.98463i | 0.164640 | + | 0.206451i | ||||
\(210\) | 9.62430 | − | 15.1673i | 0.664140 | − | 1.04664i | ||||
\(211\) | 14.8864 | − | 18.6670i | 1.02482 | − | 1.28509i | 0.0669947 | − | 0.997753i | \(-0.478659\pi\) |
0.957830 | − | 0.287336i | \(-0.0927696\pi\) | |||||||
\(212\) | 1.07541 | − | 5.68367i | 0.0738594 | − | 0.390356i | ||||
\(213\) | 0.252204 | − | 6.74028i | 0.0172807 | − | 0.461836i | ||||
\(214\) | 10.8767 | − | 6.27967i | 0.743516 | − | 0.429269i | ||||
\(215\) | 14.3893 | − | 20.5462i | 0.981343 | − | 1.40124i | ||||
\(216\) | 9.52970 | − | 2.17509i | 0.648414 | − | 0.147996i | ||||
\(217\) | −4.70801 | + | 21.4280i | −0.319600 | + | 1.45463i | ||||
\(218\) | −5.31528 | + | 3.33981i | −0.359996 | + | 0.226201i | ||||
\(219\) | −12.8868 | + | 13.8887i | −0.870809 | + | 0.938509i | ||||
\(220\) | 3.69250 | + | 6.04372i | 0.248948 | + | 0.407467i | ||||
\(221\) | −5.00390 | − | 0.754217i | −0.336599 | − | 0.0507341i | ||||
\(222\) | 1.17154 | + | 31.3100i | 0.0786285 | + | 2.10139i | ||||
\(223\) | −7.76300 | − | 12.3547i | −0.519849 | − | 0.827335i | 0.478873 | − | 0.877884i | \(-0.341046\pi\) |
−0.998722 | + | 0.0505497i | \(0.983903\pi\) | |||||||
\(224\) | 1.88596 | + | 1.85557i | 0.126011 | + | 0.123981i | ||||
\(225\) | 1.54447 | + | 31.0580i | 0.102965 | + | 2.07053i | ||||
\(226\) | 0.877002 | − | 1.51901i | 0.0583373 | − | 0.101043i | ||||
\(227\) | 6.62599 | − | 24.7285i | 0.439782 | − | 1.64129i | −0.289574 | − | 0.957156i | \(-0.593514\pi\) |
0.729356 | − | 0.684134i | \(-0.239820\pi\) | |||||||
\(228\) | −3.65699 | − | 0.136835i | −0.242190 | − | 0.00906212i | ||||
\(229\) | 4.67290 | − | 3.18593i | 0.308794 | − | 0.210532i | −0.399000 | − | 0.916951i | \(-0.630643\pi\) |
0.707794 | + | 0.706419i | \(0.249690\pi\) | |||||||
\(230\) | 0.307679 | + | 12.3820i | 0.0202878 | + | 0.816443i | ||||
\(231\) | −15.2753 | − | 20.3493i | −1.00504 | − | 1.33888i | ||||
\(232\) | −4.94611 | − | 0.557292i | −0.324728 | − | 0.0365880i | ||||
\(233\) | 9.92141 | + | 18.7722i | 0.649973 | + | 1.22981i | 0.960244 | + | 0.279161i | \(0.0900565\pi\) |
−0.310271 | + | 0.950648i | \(0.600420\pi\) | |||||||
\(234\) | −3.57679 | + | 9.11351i | −0.233822 | + | 0.595769i | ||||
\(235\) | −0.151194 | + | 12.0409i | −0.00986282 | + | 0.785463i | ||||
\(236\) | 5.83483 | − | 2.29000i | 0.379815 | − | 0.149066i | ||||
\(237\) | 14.0588 | + | 4.91939i | 0.913218 | + | 0.319549i | ||||
\(238\) | 1.33589 | + | 8.39955i | 0.0865932 | + | 0.544462i | ||||
\(239\) | −12.4594 | + | 25.8723i | −0.805933 | + | 1.67354i | −0.0689552 | + | 0.997620i | \(0.521967\pi\) |
−0.736978 | + | 0.675917i | \(0.763748\pi\) | |||||||
\(240\) | −6.70036 | − | 1.09613i | −0.432507 | − | 0.0707547i | ||||
\(241\) | 4.11355 | + | 13.3358i | 0.264977 | + | 0.859034i | 0.986089 | + | 0.166216i | \(0.0531549\pi\) |
−0.721112 | + | 0.692818i | \(0.756369\pi\) | |||||||
\(242\) | −0.950918 | + | 0.179923i | −0.0611273 | + | 0.0115659i | ||||
\(243\) | 2.45886 | − | 3.33163i | 0.157736 | − | 0.213724i | ||||
\(244\) | 6.53254 | 0.418203 | ||||||||
\(245\) | 11.8264 | − | 10.2536i | 0.755560 | − | 0.655080i | ||||
\(246\) | 17.4883 | 1.11501 | ||||||||
\(247\) | 1.12665 | − | 1.52656i | 0.0716872 | − | 0.0971327i | ||||
\(248\) | 8.14764 | − | 1.54162i | 0.517376 | − | 0.0978928i | ||||
\(249\) | 2.28807 | + | 7.41775i | 0.145001 | + | 0.470081i | ||||
\(250\) | 3.69546 | − | 10.5519i | 0.233722 | − | 0.667364i | ||||
\(251\) | −8.05638 | + | 16.7293i | −0.508514 | + | 1.05594i | 0.475806 | + | 0.879550i | \(0.342156\pi\) |
−0.984320 | + | 0.176391i | \(0.943558\pi\) | |||||||
\(252\) | 16.4181 | + | 1.09633i | 1.03424 | + | 0.0690624i | ||||
\(253\) | 16.5598 | + | 5.79453i | 1.04111 | + | 0.364299i | ||||
\(254\) | 7.27323 | − | 2.85453i | 0.456363 | − | 0.179109i | ||||
\(255\) | −15.2380 | − | 15.6255i | −0.954240 | − | 0.978509i | ||||
\(256\) | 0.365341 | − | 0.930874i | 0.0228338 | − | 0.0581796i | ||||
\(257\) | −6.73053 | − | 12.7348i | −0.419839 | − | 0.794374i | 0.579956 | − | 0.814648i | \(-0.303070\pi\) |
−0.999794 | + | 0.0202743i | \(0.993546\pi\) | |||||||
\(258\) | 33.8468 | + | 3.81361i | 2.10721 | + | 0.237425i | ||||
\(259\) | −6.85173 | + | 26.4278i | −0.425746 | + | 1.64215i | ||||
\(260\) | 2.42640 | − | 2.55006i | 0.150479 | − | 0.158148i | ||||
\(261\) | −25.5769 | + | 17.4380i | −1.58317 | + | 1.07939i | ||||
\(262\) | 13.8099 | + | 0.516730i | 0.853179 | + | 0.0319237i | ||||
\(263\) | −3.21198 | + | 11.9873i | −0.198059 | + | 0.739166i | 0.793395 | + | 0.608708i | \(0.208312\pi\) |
−0.991454 | + | 0.130459i | \(0.958355\pi\) | |||||||
\(264\) | −4.80858 | + | 8.32870i | −0.295948 | + | 0.512596i | ||||
\(265\) | 1.76706 | + | 12.8133i | 0.108549 | + | 0.787115i | ||||
\(266\) | −3.01832 | − | 1.02871i | −0.185065 | − | 0.0630745i | ||||
\(267\) | 21.7273 | + | 34.5788i | 1.32969 | + | 2.11619i | ||||
\(268\) | 0.554455 | + | 14.8181i | 0.0338687 | + | 0.905160i | ||||
\(269\) | 17.2046 | + | 2.59318i | 1.04899 | + | 0.158109i | 0.650841 | − | 0.759214i | \(-0.274416\pi\) |
0.398144 | + | 0.917323i | \(0.369654\pi\) | |||||||
\(270\) | −18.6514 | + | 11.3954i | −1.13509 | + | 0.693500i | ||||
\(271\) | −0.111156 | + | 0.119798i | −0.00675224 | + | 0.00727718i | −0.736419 | − | 0.676526i | \(-0.763485\pi\) |
0.729667 | + | 0.683803i | \(0.239675\pi\) | |||||||
\(272\) | 2.72191 | − | 1.71029i | 0.165040 | − | 0.103701i | ||||
\(273\) | −7.80407 | + | 9.95075i | −0.472324 | + | 0.602247i | ||||
\(274\) | −6.72357 | + | 1.53461i | −0.406186 | + | 0.0927093i | ||||
\(275\) | −12.1299 | − | 10.1819i | −0.731460 | − | 0.613991i | ||||
\(276\) | −14.5652 | + | 8.40925i | −0.876725 | + | 0.506177i | ||||
\(277\) | −1.20333 | + | 32.1598i | −0.0723013 | + | 1.93229i | 0.219120 | + | 0.975698i | \(0.429681\pi\) |
−0.291421 | + | 0.956595i | \(0.594128\pi\) | |||||||
\(278\) | −2.11119 | + | 11.1579i | −0.126621 | + | 0.669208i | ||||
\(279\) | 32.1543 | − | 40.3202i | 1.92503 | − | 2.41391i | ||||
\(280\) | −5.31877 | − | 2.59049i | −0.317857 | − | 0.154812i | ||||
\(281\) | 2.11248 | + | 2.64897i | 0.126020 | + | 0.158024i | 0.840839 | − | 0.541286i | \(-0.182062\pi\) |
−0.714819 | + | 0.699310i | \(0.753491\pi\) | |||||||
\(282\) | −14.4566 | + | 7.64054i | −0.860878 | + | 0.454987i | ||||
\(283\) | 5.18977 | + | 11.8951i | 0.308500 | + | 0.707089i | 0.999881 | − | 0.0154006i | \(-0.00490235\pi\) |
−0.691381 | + | 0.722490i | \(0.742998\pi\) | |||||||
\(284\) | −2.21522 | + | 0.166008i | −0.131449 | + | 0.00985076i | ||||
\(285\) | 7.84913 | − | 2.31362i | 0.464942 | − | 0.137047i | ||||
\(286\) | −2.16335 | − | 4.49224i | −0.127922 | − | 0.265632i | ||||
\(287\) | 14.5977 | + | 4.37326i | 0.861675 | + | 0.258145i | ||||
\(288\) | −2.05410 | − | 5.87027i | −0.121039 | − | 0.345909i | ||||
\(289\) | −6.64750 | − | 0.498161i | −0.391029 | − | 0.0293036i | ||||
\(290\) | 10.8810 | − | 2.34018i | 0.638955 | − | 0.137420i | ||||
\(291\) | −24.3157 | − | 16.5782i | −1.42541 | − | 0.971831i | ||||
\(292\) | 5.02060 | + | 3.70537i | 0.293809 | + | 0.216841i | ||||
\(293\) | 4.12174 | − | 4.12174i | 0.240795 | − | 0.240795i | −0.576384 | − | 0.817179i | \(-0.695537\pi\) |
0.817179 | + | 0.576384i | \(0.195537\pi\) | |||||||
\(294\) | 19.9086 | + | 7.44262i | 1.16109 | + | 0.434063i | ||||
\(295\) | −10.7376 | + | 9.00831i | −0.625169 | + | 0.524484i | ||||
\(296\) | 10.2038 | − | 1.53797i | 0.593082 | − | 0.0893928i | ||||
\(297\) | 5.75587 | + | 30.4205i | 0.333990 | + | 1.76518i | ||||
\(298\) | −5.83769 | − | 3.08531i | −0.338168 | − | 0.178727i | ||||
\(299\) | 0.651613 | − | 8.69517i | 0.0376838 | − | 0.502855i | ||||
\(300\) | 14.9831 | − | 2.44699i | 0.865051 | − | 0.141277i | ||||
\(301\) | 27.2987 | + | 11.6473i | 1.57347 | + | 0.671336i | ||||
\(302\) | −3.42176 | + | 9.77883i | −0.196900 | + | 0.562708i | ||||
\(303\) | 16.2604 | − | 37.2692i | 0.934134 | − | 2.14106i | ||||
\(304\) | 0.0900690 | + | 1.20189i | 0.00516581 | + | 0.0689329i | ||||
\(305\) | −13.8470 | + | 4.65096i | −0.792875 | + | 0.266313i | ||||
\(306\) | 5.89295 | − | 19.1045i | 0.336877 | − | 1.09213i | ||||
\(307\) | 2.68138 | − | 23.7979i | 0.153035 | − | 1.35822i | −0.648930 | − | 0.760848i | \(-0.724783\pi\) |
0.801965 | − | 0.597371i | \(-0.203788\pi\) | |||||||
\(308\) | −6.09652 | + | 5.74960i | −0.347381 | + | 0.327614i | ||||
\(309\) | −24.2803 | − | 19.3629i | −1.38126 | − | 1.10152i | ||||
\(310\) | −16.1729 | + | 9.06862i | −0.918560 | + | 0.515063i | ||||
\(311\) | −10.7896 | − | 11.6284i | −0.611820 | − | 0.659385i | 0.348818 | − | 0.937191i | \(-0.386583\pi\) |
−0.960637 | + | 0.277806i | \(0.910393\pi\) | |||||||
\(312\) | 4.61687 | + | 1.23709i | 0.261379 | + | 0.0700362i | ||||
\(313\) | 4.57966 | + | 17.0915i | 0.258858 | + | 0.966071i | 0.965903 | + | 0.258903i | \(0.0833609\pi\) |
−0.707046 | + | 0.707168i | \(0.749972\pi\) | |||||||
\(314\) | −2.89106 | − | 12.6665i | −0.163152 | − | 0.714815i | ||||
\(315\) | −35.5819 | + | 9.36527i | −2.00481 | + | 0.527673i | ||||
\(316\) | 1.09157 | − | 4.78249i | 0.0614058 | − | 0.269036i | ||||
\(317\) | 1.14355 | − | 0.0427887i | 0.0642283 | − | 0.00240325i | −0.00525771 | − | 0.999986i | \(-0.501674\pi\) |
0.0694861 | + | 0.997583i | \(0.477864\pi\) | |||||||
\(318\) | −14.1317 | + | 10.4297i | −0.792466 | + | 0.584867i | ||||
\(319\) | 2.34969 | − | 15.5892i | 0.131557 | − | 0.872826i | ||||
\(320\) | −0.111658 | + | 2.23328i | −0.00624190 | + | 0.124844i | ||||
\(321\) | −37.1781 | − | 8.48567i | −2.07508 | − | 0.473624i | ||||
\(322\) | −14.2607 | + | 3.37701i | −0.794716 | + | 0.188193i | ||||
\(323\) | −2.06134 | + | 3.28060i | −0.114696 | + | 0.182537i | ||||
\(324\) | −9.54495 | − | 5.51078i | −0.530275 | − | 0.306154i | ||||
\(325\) | −3.32767 | + | 7.13288i | −0.184586 | + | 0.395661i | ||||
\(326\) | 9.04942 | − | 8.39664i | 0.501201 | − | 0.465047i | ||||
\(327\) | 18.7281 | + | 3.54356i | 1.03567 | + | 0.195959i | ||||
\(328\) | −0.644881 | − | 5.72348i | −0.0356076 | − | 0.316026i | ||||
\(329\) | −13.9778 | + | 2.76252i | −0.770619 | + | 0.152303i | ||||
\(330\) | 4.26294 | − | 21.0779i | 0.234667 | − | 1.16030i | ||||
\(331\) | 29.4613 | + | 9.08760i | 1.61934 | + | 0.499500i | 0.966212 | − | 0.257749i | \(-0.0829809\pi\) |
0.653126 | + | 0.757249i | \(0.273457\pi\) | |||||||
\(332\) | 2.34327 | − | 1.02236i | 0.128604 | − | 0.0561092i | ||||
\(333\) | 41.8618 | − | 48.6443i | 2.29401 | − | 2.66569i | ||||
\(334\) | −6.42067 | − | 16.3596i | −0.351323 | − | 0.895158i | ||||
\(335\) | −11.7253 | − | 31.0151i | −0.640622 | − | 1.69454i | ||||
\(336\) | −0.365576 | − | 8.02504i | −0.0199438 | − | 0.437802i | ||||
\(337\) | 17.1733 | − | 6.00918i | 0.935487 | − | 0.327341i | 0.180870 | − | 0.983507i | \(-0.442109\pi\) |
0.754617 | + | 0.656166i | \(0.227823\pi\) | |||||||
\(338\) | 7.97534 | − | 6.86333i | 0.433801 | − | 0.373316i | ||||
\(339\) | −5.08912 | + | 1.56979i | −0.276403 | + | 0.0852591i | ||||
\(340\) | −4.55194 | + | 5.56320i | −0.246864 | + | 0.301707i | ||||
\(341\) | 3.91451 | + | 25.9711i | 0.211983 | + | 1.40641i | ||||
\(342\) | 5.30035 | + | 5.30035i | 0.286610 | + | 0.286610i | ||||
\(343\) | 14.7568 | + | 11.1909i | 0.796792 | + | 0.604254i | ||||
\(344\) | − | 11.2178i | − | 0.604824i | ||||||
\(345\) | 24.8867 | − | 28.1950i | 1.33986 | − | 1.51797i | ||||
\(346\) | −4.26494 | + | 6.25552i | −0.229285 | + | 0.336299i | ||||
\(347\) | −0.771979 | + | 1.46066i | −0.0414420 | + | 0.0784121i | −0.903967 | − | 0.427603i | \(-0.859358\pi\) |
0.862525 | + | 0.506015i | \(0.168882\pi\) | |||||||
\(348\) | 9.85803 | + | 11.4552i | 0.528446 | + | 0.614065i | ||||
\(349\) | −14.8774 | − | 7.16459i | −0.796370 | − | 0.383512i | −0.00897448 | − | 0.999960i | \(-0.502857\pi\) |
−0.787395 | + | 0.616448i | \(0.788571\pi\) | |||||||
\(350\) | 13.1185 | + | 1.70426i | 0.701214 | + | 0.0910964i | ||||
\(351\) | 13.8635 | − | 6.67629i | 0.739977 | − | 0.356354i | ||||
\(352\) | 2.90309 | + | 1.26660i | 0.154735 | + | 0.0675103i | ||||
\(353\) | −12.3130 | − | 10.5962i | −0.655354 | − | 0.563977i | 0.260508 | − | 0.965472i | \(-0.416110\pi\) |
−0.915862 | + | 0.401494i | \(0.868491\pi\) | |||||||
\(354\) | −17.7164 | − | 6.95319i | −0.941618 | − | 0.369558i | ||||
\(355\) | 4.57740 | − | 1.92905i | 0.242943 | − | 0.102384i | ||||
\(356\) | 10.5156 | − | 8.38589i | 0.557324 | − | 0.444451i | ||||
\(357\) | 14.3736 | − | 21.4545i | 0.760729 | − | 1.13549i | ||||
\(358\) | 4.21574 | − | 0.474999i | 0.222809 | − | 0.0251045i | ||||
\(359\) | 1.99542 | + | 2.92675i | 0.105314 | + | 0.154468i | 0.875278 | − | 0.483620i | \(-0.160678\pi\) |
−0.769964 | + | 0.638087i | \(0.779726\pi\) | |||||||
\(360\) | 8.53350 | + | 10.9807i | 0.449755 | + | 0.578735i | ||||
\(361\) | 8.77368 | + | 15.1965i | 0.461773 | + | 0.799813i | ||||
\(362\) | −10.7085 | + | 2.86933i | −0.562826 | + | 0.150809i | ||||
\(363\) | 2.48812 | + | 1.56339i | 0.130592 | + | 0.0820567i | ||||
\(364\) | 3.54440 | + | 2.18714i | 0.185777 | + | 0.114637i | ||||
\(365\) | −13.2803 | − | 4.27975i | −0.695120 | − | 0.224012i | ||||
\(366\) | −14.5400 | − | 13.4912i | −0.760019 | − | 0.705194i | ||||
\(367\) | −17.4536 | − | 23.6488i | −0.911070 | − | 1.23446i | −0.971682 | − | 0.236294i | \(-0.924067\pi\) |
0.0606118 | − | 0.998161i | \(-0.480695\pi\) | |||||||
\(368\) | 3.28923 | + | 4.45674i | 0.171463 | + | 0.232324i | ||||
\(369\) | −26.2587 | − | 24.3645i | −1.36698 | − | 1.26837i | ||||
\(370\) | −20.5339 | + | 10.5248i | −1.06751 | + | 0.547158i | ||||
\(371\) | −14.4040 | + | 5.17189i | −0.747820 | + | 0.268511i | ||||
\(372\) | −21.3187 | − | 13.3954i | −1.10532 | − | 0.694520i | ||||
\(373\) | −0.139193 | + | 0.0372967i | −0.00720716 | + | 0.00193115i | −0.262421 | − | 0.964954i | \(-0.584521\pi\) |
0.255214 | + | 0.966885i | \(0.417854\pi\) | |||||||
\(374\) | 5.09096 | + | 8.81780i | 0.263247 | + | 0.455958i | ||||
\(375\) | −30.0175 | + | 15.8544i | −1.55009 | + | 0.818717i | ||||
\(376\) | 3.03364 | + | 4.44953i | 0.156448 | + | 0.229467i | ||||
\(377\) | −7.78608 | + | 0.877280i | −0.401003 | + | 0.0451822i | ||||
\(378\) | −17.7438 | − | 18.8144i | −0.912641 | − | 0.967708i | ||||
\(379\) | −5.52080 | + | 4.40269i | −0.283584 | + | 0.226151i | −0.754943 | − | 0.655791i | \(-0.772335\pi\) |
0.471358 | + | 0.881942i | \(0.343764\pi\) | |||||||
\(380\) | −1.04662 | − | 2.48351i | −0.0536907 | − | 0.127401i | ||||
\(381\) | −22.0839 | − | 8.66729i | −1.13139 | − | 0.444039i | ||||
\(382\) | −19.3265 | − | 16.6318i | −0.988832 | − | 0.850959i | ||||
\(383\) | 15.9728 | + | 6.96888i | 0.816174 | + | 0.356093i | 0.766156 | − | 0.642655i | \(-0.222167\pi\) |
0.0500185 | + | 0.998748i | \(0.484072\pi\) | |||||||
\(384\) | −2.73564 | + | 1.31741i | −0.139602 | + | 0.0672289i | ||||
\(385\) | 8.82922 | − | 16.5279i | 0.449979 | − | 0.842341i | ||||
\(386\) | 13.8870 | + | 6.68764i | 0.706831 | + | 0.340392i | ||||
\(387\) | −45.5079 | − | 52.8812i | −2.31330 | − | 2.68810i | ||||
\(388\) | −4.52898 | + | 8.56925i | −0.229924 | + | 0.435038i | ||||
\(389\) | −2.38360 | + | 3.49610i | −0.120853 | + | 0.177259i | −0.881898 | − | 0.471440i | \(-0.843734\pi\) |
0.761045 | + | 0.648699i | \(0.224687\pi\) | |||||||
\(390\) | −10.6671 | + | 0.664820i | −0.540150 | + | 0.0336645i | ||||
\(391\) | 17.8062i | 0.900496i | ||||||||
\(392\) | 1.70165 | − | 6.79002i | 0.0859464 | − | 0.342948i | ||||
\(393\) | −29.6707 | − | 29.6707i | −1.49669 | − | 1.49669i | ||||
\(394\) | −1.66518 | − | 11.0477i | −0.0838904 | − | 0.556576i | ||||
\(395\) | 1.09118 | + | 10.9146i | 0.0549034 | + | 0.549173i | ||||
\(396\) | 18.8236 | − | 5.80630i | 0.945920 | − | 0.291778i | ||||
\(397\) | 4.19074 | − | 3.60642i | 0.210327 | − | 0.181001i | −0.540815 | − | 0.841141i | \(-0.681884\pi\) |
0.751142 | + | 0.660140i | \(0.229503\pi\) | |||||||
\(398\) | 9.48362 | − | 3.31846i | 0.475371 | − | 0.166339i | ||||
\(399\) | 4.59360 | + | 8.52321i | 0.229968 | + | 0.426694i | ||||
\(400\) | −1.35334 | − | 4.81336i | −0.0676671 | − | 0.240668i | ||||
\(401\) | 11.0577 | + | 28.1745i | 0.552195 | + | 1.40697i | 0.885717 | + | 0.464226i | \(0.153668\pi\) |
−0.333522 | + | 0.942742i | \(0.608237\pi\) | |||||||
\(402\) | 29.3687 | − | 34.1270i | 1.46478 | − | 1.70210i | ||||
\(403\) | 11.9643 | − | 5.21997i | 0.595984 | − | 0.260025i | ||||
\(404\) | −12.7968 | − | 3.94731i | −0.636667 | − | 0.196386i | ||||
\(405\) | 24.1559 | + | 4.88546i | 1.20032 | + | 0.242761i | ||||
\(406\) | 5.36404 | + | 12.0270i | 0.266213 | + | 0.596890i | ||||
\(407\) | 3.65946 | + | 32.4786i | 0.181393 | + | 1.60991i | ||||
\(408\) | −9.59051 | − | 1.81462i | −0.474801 | − | 0.0898372i | ||||
\(409\) | −9.85162 | + | 9.14097i | −0.487131 | + | 0.451992i | −0.885096 | − | 0.465409i | \(-0.845907\pi\) |
0.397964 | + | 0.917401i | \(0.369717\pi\) | |||||||
\(410\) | 5.44188 | + | 11.6729i | 0.268755 | + | 0.576483i | ||||
\(411\) | 18.1345 | + | 10.4700i | 0.894511 | + | 0.516446i | ||||
\(412\) | −5.44164 | + | 8.66033i | −0.268091 | + | 0.426664i | ||||
\(413\) | −13.0494 | − | 10.2342i | −0.642117 | − | 0.503593i | ||||
\(414\) | 33.5855 | + | 7.66566i | 1.65063 | + | 0.376747i | ||||
\(415\) | −4.23913 | + | 3.83542i | −0.208091 | + | 0.188273i | ||||
\(416\) | 0.234620 | − | 1.55660i | 0.0115032 | − | 0.0763186i | ||||
\(417\) | 27.7427 | − | 20.4750i | 1.35857 | − | 1.00267i | ||||
\(418\) | −3.81482 | + | 0.142741i | −0.186589 | + | 0.00698167i | ||||
\(419\) | −1.38150 | + | 6.05275i | −0.0674907 | + | 0.295696i | −0.997397 | − | 0.0720992i | \(-0.977030\pi\) |
0.929907 | + | 0.367795i | \(0.119887\pi\) | |||||||
\(420\) | 6.48848 | + | 16.7503i | 0.316606 | + | 0.817333i | ||||
\(421\) | −5.28709 | − | 23.1642i | −0.257677 | − | 1.12896i | −0.923728 | − | 0.383050i | \(-0.874874\pi\) |
0.666051 | − | 0.745906i | \(-0.267983\pi\) | |||||||
\(422\) | 6.17956 | + | 23.0624i | 0.300816 | + | 1.12266i | ||||
\(423\) | 32.3514 | + | 8.66852i | 1.57298 | + | 0.421478i | ||||
\(424\) | 3.93447 | + | 4.24035i | 0.191075 | + | 0.205930i | ||||
\(425\) | 5.68790 | − | 15.0331i | 0.275903 | − | 0.729213i | ||||
\(426\) | 5.27345 | + | 4.20544i | 0.255500 | + | 0.203754i | ||||
\(427\) | −8.76303 | − | 14.8972i | −0.424073 | − | 0.720927i | ||||
\(428\) | −1.40620 | + | 12.4804i | −0.0679712 | + | 0.603261i | ||||
\(429\) | −4.46235 | + | 14.4666i | −0.215444 | + | 0.698453i | ||||
\(430\) | 7.98673 | + | 23.7783i | 0.385154 | + | 1.14669i | ||||
\(431\) | −0.400689 | − | 5.34682i | −0.0193005 | − | 0.257547i | −0.998505 | − | 0.0546692i | \(-0.982590\pi\) |
0.979204 | − | 0.202878i | \(-0.0650295\pi\) | |||||||
\(432\) | −3.90885 | + | 8.95918i | −0.188065 | + | 0.431049i | ||||
\(433\) | −11.5125 | + | 32.9008i | −0.553255 | + | 1.58111i | 0.239063 | + | 0.971004i | \(0.423160\pi\) |
−0.792318 | + | 0.610108i | \(0.791126\pi\) | |||||||
\(434\) | −14.4452 | − | 16.5124i | −0.693392 | − | 0.792622i | ||||
\(435\) | −29.0518 | − | 17.2630i | −1.39293 | − | 0.827697i | ||||
\(436\) | 0.469116 | − | 6.25991i | 0.0224666 | − | 0.299796i | ||||
\(437\) | −5.90238 | − | 3.11950i | −0.282349 | − | 0.149226i | ||||
\(438\) | −3.52235 | − | 18.6161i | −0.168304 | − | 0.889509i | ||||
\(439\) | −15.3172 | + | 2.30869i | −0.731049 | + | 0.110188i | −0.504010 | − | 0.863698i | \(-0.668142\pi\) |
−0.227039 | + | 0.973886i | \(0.572904\pi\) | |||||||
\(440\) | −7.05544 | − | 0.617907i | −0.336355 | − | 0.0294575i | ||||
\(441\) | −19.5238 | − | 38.9116i | −0.929705 | − | 1.85293i | ||||
\(442\) | 3.57826 | − | 3.57826i | 0.170200 | − | 0.170200i | ||||
\(443\) | 21.4944 | + | 15.8636i | 1.02123 | + | 0.753703i | 0.969533 | − | 0.244960i | \(-0.0787749\pi\) |
0.0516977 | + | 0.998663i | \(0.483537\pi\) | |||||||
\(444\) | −25.8877 | − | 17.6499i | −1.22857 | − | 0.837628i | ||||
\(445\) | −16.3193 | + | 25.2623i | −0.773609 | + | 1.19755i | ||||
\(446\) | 14.5504 | + | 1.09040i | 0.688982 | + | 0.0516321i | ||||
\(447\) | 6.62158 | + | 18.9234i | 0.313190 | + | 0.895045i | ||||
\(448\) | −2.61291 | + | 0.415567i | −0.123448 | + | 0.0196337i | ||||
\(449\) | 2.27329 | + | 4.72054i | 0.107283 | + | 0.222776i | 0.947698 | − | 0.319167i | \(-0.103403\pi\) |
−0.840415 | + | 0.541943i | \(0.817689\pi\) | |||||||
\(450\) | −25.9063 | − | 17.2002i | −1.22124 | − | 0.810825i | ||||
\(451\) | 18.1920 | − | 1.36331i | 0.856630 | − | 0.0641955i | ||||
\(452\) | 0.701413 | + | 1.60765i | 0.0329917 | + | 0.0756177i | ||||
\(453\) | 27.8116 | − | 14.6989i | 1.30670 | − | 0.690613i | ||||
\(454\) | 15.9619 | + | 20.0156i | 0.749128 | + | 0.939376i | ||||
\(455\) | −9.07022 | − | 2.11257i | −0.425219 | − | 0.0990386i | ||||
\(456\) | 2.28169 | − | 2.86115i | 0.106850 | − | 0.133986i | ||||
\(457\) | −2.84832 | + | 15.0538i | −0.133239 | + | 0.704185i | 0.850696 | + | 0.525658i | \(0.176181\pi\) |
−0.983935 | + | 0.178527i | \(0.942867\pi\) | |||||||
\(458\) | −0.211471 | + | 5.65168i | −0.00988139 | + | 0.264086i | ||||
\(459\) | −27.2125 | + | 15.7111i | −1.27017 | + | 0.733333i | ||||
\(460\) | −10.1452 | − | 7.10511i | −0.473023 | − | 0.331277i | ||||
\(461\) | −9.56774 | + | 2.18377i | −0.445614 | + | 0.101708i | −0.439439 | − | 0.898272i | \(-0.644823\pi\) |
−0.00617500 | + | 0.999981i | \(0.501966\pi\) | |||||||
\(462\) | 25.4438 | − | 0.206684i | 1.18375 | − | 0.00961582i | ||||
\(463\) | 5.77988 | − | 3.63174i | 0.268614 | − | 0.168781i | −0.390990 | − | 0.920395i | \(-0.627867\pi\) |
0.659603 | + | 0.751614i | \(0.270724\pi\) | |||||||
\(464\) | 3.38549 | − | 3.64869i | 0.157168 | − | 0.169386i | ||||
\(465\) | 54.7262 | + | 13.2160i | 2.53787 | + | 0.612875i | ||||
\(466\) | −20.9956 | − | 3.16458i | −0.972604 | − | 0.146596i | ||||
\(467\) | −0.719477 | − | 19.2284i | −0.0332934 | − | 0.889785i | −0.911450 | − | 0.411411i | \(-0.865036\pi\) |
0.878156 | − | 0.478374i | \(-0.158774\pi\) | |||||||
\(468\) | −5.20874 | − | 8.28967i | −0.240774 | − | 0.383190i | ||||
\(469\) | 33.0484 | − | 21.1421i | 1.52604 | − | 0.976251i | ||||
\(470\) | −9.59832 | − | 7.27179i | −0.442737 | − | 0.335423i | ||||
\(471\) | −19.7244 | + | 34.1637i | −0.908853 | + | 1.57418i | ||||
\(472\) | −1.62231 | + | 6.05454i | −0.0746728 | + | 0.278683i | ||||
\(473\) | 35.5061 | + | 1.32854i | 1.63257 | + | 0.0610865i | ||||
\(474\) | −12.3065 | + | 8.39046i | −0.565258 | + | 0.385386i | ||||
\(475\) | 3.98670 | + | 4.51911i | 0.182922 | + | 0.207351i | ||||
\(476\) | −7.55154 | − | 3.91296i | −0.346124 | − | 0.179350i | ||||
\(477\) | 35.7493 | + | 4.02798i | 1.63685 | + | 0.184428i | ||||
\(478\) | −13.4181 | − | 25.3883i | −0.613730 | − | 1.16123i | ||||
\(479\) | 9.04457 | − | 23.0452i | 0.413257 | − | 1.05296i | −0.561059 | − | 0.827776i | \(-0.689606\pi\) |
0.974316 | − | 0.225186i | \(-0.0722988\pi\) | |||||||
\(480\) | 4.86075 | − | 4.74020i | 0.221862 | − | 0.216359i | ||||
\(481\) | 15.1212 | − | 5.93462i | 0.689465 | − | 0.270595i | ||||
\(482\) | −13.1727 | − | 4.60931i | −0.599998 | − | 0.209948i | ||||
\(483\) | 38.7155 | + | 21.9350i | 1.76162 | + | 0.998078i | ||||
\(484\) | 0.419908 | − | 0.871948i | 0.0190867 | − | 0.0396340i | ||||
\(485\) | 3.49902 | − | 21.3887i | 0.158882 | − | 0.971209i | ||||
\(486\) | 1.22051 | + | 3.95678i | 0.0553632 | + | 0.179483i | ||||
\(487\) | 31.4957 | − | 5.95931i | 1.42721 | − | 0.270042i | 0.585805 | − | 0.810452i | \(-0.300779\pi\) |
0.841402 | + | 0.540410i | \(0.181731\pi\) | |||||||
\(488\) | −3.87915 | + | 5.25606i | −0.175601 | + | 0.237931i | ||||
\(489\) | −37.4830 | −1.69504 | ||||||||
\(490\) | 1.22730 | + | 15.6043i | 0.0554437 | + | 0.704930i | ||||
\(491\) | −5.13805 | −0.231877 | −0.115939 | − | 0.993256i | \(-0.536988\pi\) | ||||
−0.115939 | + | 0.993256i | \(0.536988\pi\) | |||||||
\(492\) | −10.3849 | + | 14.0710i | −0.468188 | + | 0.634372i | ||||
\(493\) | 15.7216 | − | 2.97468i | 0.708064 | − | 0.133973i | ||||
\(494\) | 0.559238 | + | 1.81300i | 0.0251613 | + | 0.0815709i | ||||
\(495\) | −35.7663 | + | 25.7094i | −1.60758 | + | 1.15555i | ||||
\(496\) | −3.59785 | + | 7.47102i | −0.161548 | + | 0.335459i | ||||
\(497\) | 3.35017 | + | 4.82905i | 0.150276 | + | 0.216613i | ||||
\(498\) | −7.32701 | − | 2.56383i | −0.328331 | − | 0.114888i | ||||
\(499\) | 25.4492 | − | 9.98808i | 1.13926 | − | 0.447128i | 0.280680 | − | 0.959802i | \(-0.409440\pi\) |
0.858584 | + | 0.512674i | \(0.171345\pi\) | |||||||
\(500\) | 6.29563 | + | 9.23932i | 0.281549 | + | 0.413195i | ||||
\(501\) | −19.4952 | + | 49.6731i | −0.870984 | + | 2.21923i | ||||
\(502\) | −8.67628 | − | 16.4163i | −0.387241 | − | 0.732696i | ||||
\(503\) | −13.4232 | − | 1.51243i | −0.598510 | − | 0.0674359i | −0.192488 | − | 0.981299i | \(-0.561656\pi\) |
−0.406022 | + | 0.913863i | \(0.633084\pi\) | |||||||
\(504\) | −10.6315 | + | 12.5589i | −0.473565 | + | 0.559420i | ||||
\(505\) | 29.9358 | − | 0.743873i | 1.33212 | − | 0.0331019i | ||||
\(506\) | −14.4958 | + | 9.88308i | −0.644418 | + | 0.439357i | ||||
\(507\) | −31.9257 | − | 1.19458i | −1.41787 | − | 0.0530530i | ||||
\(508\) | −2.02224 | + | 7.54710i | −0.0897224 | + | 0.334848i | ||||
\(509\) | −3.62770 | + | 6.28337i | −0.160795 | + | 0.278505i | −0.935154 | − | 0.354241i | \(-0.884739\pi\) |
0.774359 | + | 0.632747i | \(0.218073\pi\) | |||||||
\(510\) | 21.6209 | − | 2.98170i | 0.957389 | − | 0.132032i | ||||
\(511\) | 1.71512 | − | 16.4199i | 0.0758726 | − | 0.726372i | ||||
\(512\) | 0.532032 | + | 0.846724i | 0.0235127 | + | 0.0374203i | ||||
\(513\) | −0.440510 | − | 11.7729i | −0.0194490 | − | 0.519785i | ||||
\(514\) | 14.2431 | + | 2.14680i | 0.628236 | + | 0.0946914i | ||||
\(515\) | 5.36874 | − | 22.2315i | 0.236575 | − | 0.979638i | ||||
\(516\) | −23.1673 | + | 24.9684i | −1.01988 | + | 1.09917i | ||||
\(517\) | −14.4427 | + | 9.07497i | −0.635190 | + | 0.399117i | ||||
\(518\) | −17.1951 | − | 21.2063i | −0.755509 | − | 0.931750i | ||||
\(519\) | 22.4119 | − | 5.11537i | 0.983774 | − | 0.224540i | ||||
\(520\) | 0.610928 | + | 3.46656i | 0.0267910 | + | 0.152019i | ||||
\(521\) | 19.5635 | − | 11.2950i | 0.857091 | − | 0.494842i | −0.00594607 | − | 0.999982i | \(-0.501893\pi\) |
0.863037 | + | 0.505141i | \(0.168559\pi\) | |||||||
\(522\) | 1.15748 | − | 30.9342i | 0.0506613 | − | 1.35395i | ||||
\(523\) | 0.167370 | − | 0.884574i | 0.00731860 | − | 0.0386797i | −0.978717 | − | 0.205215i | \(-0.934210\pi\) |
0.986035 | + | 0.166536i | \(0.0532581\pi\) | |||||||
\(524\) | −8.61636 | + | 10.8046i | −0.376407 | + | 0.472000i | ||||
\(525\) | −25.6793 | − | 30.8860i | −1.12074 | − | 1.34798i | ||||
\(526\) | −7.73759 | − | 9.70263i | −0.337375 | − | 0.423055i | ||||
\(527\) | −23.5673 | + | 12.4557i | −1.02661 | + | 0.542578i | ||||
\(528\) | −3.84582 | − | 8.81472i | −0.167368 | − | 0.383612i | ||||
\(529\) | −7.66011 | + | 0.574046i | −0.333048 | + | 0.0249585i | ||||
\(530\) | −11.3589 | − | 6.18702i | −0.493398 | − | 0.268747i | ||||
\(531\) | 16.9142 | + | 35.1226i | 0.734012 | + | 1.52419i | ||||
\(532\) | 2.62004 | − | 1.81766i | 0.113593 | − | 0.0788057i | ||||
\(533\) | −2.99458 | − | 8.55801i | −0.129710 | − | 0.370689i | ||||
\(534\) | −40.7242 | − | 3.05185i | −1.76231 | − | 0.132067i | ||||
\(535\) | −5.90491 | − | 27.4557i | −0.255292 | − | 1.18701i | ||||
\(536\) | −12.2519 | − | 8.35318i | −0.529200 | − | 0.360802i | ||||
\(537\) | −10.3643 | − | 7.64920i | −0.447252 | − | 0.330087i | ||||
\(538\) | −12.3029 | + | 12.3029i | −0.530417 | + | 0.530417i | ||||
\(539\) | 21.2899 | + | 6.19014i | 0.917022 | + | 0.266628i | ||||
\(540\) | 1.90691 | − | 21.7737i | 0.0820605 | − | 0.936991i | ||||
\(541\) | −8.71809 | + | 1.31404i | −0.374820 | + | 0.0564950i | −0.333751 | − | 0.942661i | \(-0.608314\pi\) |
−0.0410690 | + | 0.999156i | \(0.513076\pi\) | |||||||
\(542\) | −0.0303822 | − | 0.160574i | −0.00130503 | − | 0.00689724i | ||||
\(543\) | 29.7606 | + | 15.7289i | 1.27715 | + | 0.674993i | ||||
\(544\) | −0.240230 | + | 3.20564i | −0.0102998 | + | 0.137441i | ||||
\(545\) | 3.46248 | + | 13.6031i | 0.148316 | + | 0.582693i | ||||
\(546\) | −3.37214 | − | 12.1881i | −0.144314 | − | 0.521602i | ||||
\(547\) | −9.31032 | + | 26.6074i | −0.398081 | + | 1.13765i | 0.554189 | + | 0.832391i | \(0.313028\pi\) |
−0.952270 | + | 0.305258i | \(0.901257\pi\) | |||||||
\(548\) | 2.75785 | − | 6.32106i | 0.117809 | − | 0.270022i | ||||
\(549\) | 3.03611 | + | 40.5140i | 0.129578 | + | 1.72910i | ||||
\(550\) | 15.3953 | − | 3.71348i | 0.656458 | − | 0.158343i | ||||
\(551\) | −1.76825 | + | 5.73253i | −0.0753300 | + | 0.244214i | ||||
\(552\) | 1.88307 | − | 16.7128i | 0.0801490 | − | 0.711342i | ||||
\(553\) | −12.3706 | + | 3.92615i | −0.526052 | + | 0.166957i | ||||
\(554\) | −25.1611 | − | 20.0653i | −1.06899 | − | 0.852494i | ||||
\(555\) | 67.4401 | + | 18.9812i | 2.86267 | + | 0.805707i | ||||
\(556\) | −7.72397 | − | 8.32446i | −0.327569 | − | 0.353036i | ||||
\(557\) | 9.84556 | + | 2.63811i | 0.417170 | + | 0.111780i | 0.461297 | − | 0.887246i | \(-0.347384\pi\) |
−0.0441276 | + | 0.999026i | \(0.514051\pi\) | |||||||
\(558\) | 13.3477 | + | 49.8142i | 0.565053 | + | 2.10880i | ||||
\(559\) | −3.92947 | − | 17.2161i | −0.166199 | − | 0.728166i | ||||
\(560\) | 5.24270 | − | 2.74118i | 0.221545 | − | 0.115836i | ||||
\(561\) | 6.87937 | − | 30.1405i | 0.290447 | − | 1.27253i | ||||
\(562\) | −3.38579 | + | 0.126687i | −0.142821 | + | 0.00534398i | ||||
\(563\) | −18.5947 | + | 13.7235i | −0.783675 | + | 0.578378i | −0.910482 | − | 0.413549i | \(-0.864289\pi\) |
0.126807 | + | 0.991927i | \(0.459527\pi\) | |||||||
\(564\) | 2.43706 | − | 16.1689i | 0.102619 | − | 0.680832i | ||||
\(565\) | −2.63138 | − | 2.90835i | −0.110703 | − | 0.122355i | ||||
\(566\) | −12.6525 | − | 2.88786i | −0.531826 | − | 0.121386i | ||||
\(567\) | 0.236867 | + | 29.1593i | 0.00994746 | + | 1.22458i | ||||
\(568\) | 1.18187 | − | 1.88094i | 0.0495903 | − | 0.0789226i | ||||
\(569\) | 22.8431 | + | 13.1884i | 0.957631 | + | 0.552888i | 0.895443 | − | 0.445176i | \(-0.146859\pi\) |
0.0621877 | + | 0.998064i | \(0.480192\pi\) | |||||||
\(570\) | −2.79944 | + | 7.68926i | −0.117256 | + | 0.322068i | ||||
\(571\) | −10.5431 | + | 9.78254i | −0.441214 | + | 0.409387i | −0.869248 | − | 0.494376i | \(-0.835397\pi\) |
0.428034 | + | 0.903762i | \(0.359206\pi\) | |||||||
\(572\) | 4.89909 | + | 0.926958i | 0.204841 | + | 0.0387581i | ||||
\(573\) | 8.66822 | + | 76.9326i | 0.362120 | + | 3.21390i | ||||
\(574\) | −12.1871 | + | 9.14835i | −0.508681 | + | 0.381845i | ||||
\(575\) | 26.5634 | + | 7.83758i | 1.10777 | + | 0.326850i | ||||
\(576\) | 5.94297 | + | 1.83316i | 0.247624 | + | 0.0763818i | ||||
\(577\) | 20.0574 | − | 8.75097i | 0.835002 | − | 0.364308i | 0.0615046 | − | 0.998107i | \(-0.480410\pi\) |
0.773498 | + | 0.633799i | \(0.218505\pi\) | |||||||
\(578\) | 4.34824 | − | 5.05274i | 0.180863 | − | 0.210166i | ||||
\(579\) | −17.0980 | − | 43.5651i | −0.710570 | − | 1.81050i | ||||
\(580\) | −4.57846 | + | 10.1445i | −0.190110 | + | 0.421227i | ||||
\(581\) | −5.47482 | − | 3.97231i | −0.227134 | − | 0.164799i | ||||
\(582\) | 27.7780 | − | 9.71993i | 1.15143 | − | 0.402904i | ||||
\(583\) | −13.8873 | + | 11.9510i | −0.575154 | + | 0.494960i | ||||
\(584\) | −5.96267 | + | 1.83924i | −0.246737 | + | 0.0761083i | ||||
\(585\) | 16.9429 | + | 13.8631i | 0.700504 | + | 0.573168i | ||||
\(586\) | 0.868771 | + | 5.76392i | 0.0358886 | + | 0.238105i | ||||
\(587\) | −15.4130 | − | 15.4130i | −0.636161 | − | 0.636161i | 0.313446 | − | 0.949606i | \(-0.398517\pi\) |
−0.949606 | + | 0.313446i | \(0.898517\pi\) | |||||||
\(588\) | −17.8104 | + | 11.5988i | −0.734490 | + | 0.478328i | ||||
\(589\) | − | 9.99424i | − | 0.411805i | ||||||
\(590\) | −0.871842 | − | 13.9888i | −0.0358932 | − | 0.575909i | ||||
\(591\) | −19.1097 | + | 28.0288i | −0.786069 | + | 1.15295i | ||||
\(592\) | −4.82176 | + | 9.12321i | −0.198173 | + | 0.374962i | ||||
\(593\) | −5.28144 | − | 6.13714i | −0.216883 | − | 0.252022i | 0.638982 | − | 0.769221i | \(-0.279356\pi\) |
−0.855865 | + | 0.517199i | \(0.826975\pi\) | |||||||
\(594\) | −27.8942 | − | 13.4332i | −1.14451 | − | 0.551169i | ||||
\(595\) | 18.7929 | + | 2.91783i | 0.770432 | + | 0.119619i | ||||
\(596\) | 5.94897 | − | 2.86487i | 0.243679 | − | 0.117350i | ||||
\(597\) | −27.9619 | − | 12.1996i | −1.14440 | − | 0.499298i | ||||
\(598\) | 6.60917 | + | 5.68765i | 0.270269 | + | 0.232585i | ||||
\(599\) | 2.69540 | + | 1.05787i | 0.110131 | + | 0.0432233i | 0.419767 | − | 0.907632i | \(-0.362112\pi\) |
−0.309636 | + | 0.950855i | \(0.600207\pi\) | |||||||
\(600\) | −6.92844 | + | 13.5085i | −0.282852 | + | 0.551481i | ||||
\(601\) | −2.54771 | + | 2.03173i | −0.103923 | + | 0.0828761i | −0.674073 | − | 0.738665i | \(-0.735457\pi\) |
0.570150 | + | 0.821541i | \(0.306885\pi\) | |||||||
\(602\) | −25.5818 | + | 15.0481i | −1.04264 | + | 0.613313i | ||||
\(603\) | −91.6425 | + | 10.3256i | −3.73197 | + | 0.420492i | ||||
\(604\) | −5.83611 | − | 8.56001i | −0.237468 | − | 0.348302i | ||||
\(605\) | −0.269277 | + | 2.14722i | −0.0109477 | + | 0.0872971i | ||||
\(606\) | 20.3310 | + | 35.2142i | 0.825888 | + | 1.43048i | ||||
\(607\) | 19.0757 | − | 5.11131i | 0.774257 | − | 0.207462i | 0.150006 | − | 0.988685i | \(-0.452071\pi\) |
0.624251 | + | 0.781224i | \(0.285404\pi\) | |||||||
\(608\) | −1.02052 | − | 0.641235i | −0.0413876 | − | 0.0260055i | ||||
\(609\) | 12.8993 | − | 37.8475i | 0.522706 | − | 1.53366i | ||||
\(610\) | 4.48046 | − | 13.9031i | 0.181409 | − | 0.562919i | ||||
\(611\) | 6.21440 | + | 5.76612i | 0.251408 | + | 0.233272i | ||||
\(612\) | 11.8721 | + | 16.0861i | 0.479900 | + | 0.650241i | ||||
\(613\) | 18.4259 | + | 24.9662i | 0.744215 | + | 1.00838i | 0.999142 | + | 0.0414151i | \(0.0131866\pi\) |
−0.254927 | + | 0.966960i | \(0.582051\pi\) | |||||||
\(614\) | 17.5555 | + | 16.2891i | 0.708482 | + | 0.657375i | ||||
\(615\) | 11.9947 | − | 37.2200i | 0.483672 | − | 1.50086i | ||||
\(616\) | −1.00588 | − | 8.31948i | −0.0405281 | − | 0.335201i | ||||
\(617\) | 0.250099 | + | 0.157148i | 0.0100686 | + | 0.00632653i | 0.537057 | − | 0.843546i | \(-0.319536\pi\) |
−0.526988 | + | 0.849872i | \(0.676679\pi\) | |||||||
\(618\) | 29.9975 | − | 8.03780i | 1.20668 | − | 0.323328i | ||||
\(619\) | −14.7580 | − | 25.5616i | −0.593174 | − | 1.02741i | −0.993802 | − | 0.111166i | \(-0.964541\pi\) |
0.400628 | − | 0.916241i | \(-0.368792\pi\) | |||||||
\(620\) | 2.30722 | − | 18.3978i | 0.0926601 | − | 0.738874i | ||||
\(621\) | −30.5001 | − | 44.7354i | −1.22393 | − | 1.79517i | ||||
\(622\) | 15.7632 | − | 1.77609i | 0.632048 | − | 0.0712147i | ||||
\(623\) | −33.2298 | − | 12.7312i | −1.33132 | − | 0.510065i | ||||
\(624\) | −3.73695 | + | 2.98012i | −0.149598 | + | 0.119300i | ||||
\(625\) | −19.9229 | − | 15.1022i | −0.796917 | − | 0.604089i | ||||
\(626\) | −16.4713 | − | 6.46451i | −0.658326 | − | 0.258374i | ||||
\(627\) | 8.78576 | + | 7.56076i | 0.350870 | + | 0.301948i | ||||
\(628\) | 11.9082 | + | 5.19551i | 0.475191 | + | 0.207324i | ||||
\(629\) | −29.8868 | + | 14.3927i | −1.19167 | + | 0.573876i | ||||
\(630\) | 13.5940 | − | 34.1904i | 0.541596 | − | 1.36218i | ||||
\(631\) | 17.8712 | + | 8.60633i | 0.711442 | + | 0.342612i | 0.754355 | − | 0.656466i | \(-0.227950\pi\) |
−0.0429133 | + | 0.999079i | \(0.513664\pi\) | |||||||
\(632\) | 3.19979 | + | 3.71822i | 0.127281 | + | 0.147903i | ||||
\(633\) | 33.8748 | − | 64.0942i | 1.34640 | − | 2.54752i | ||||
\(634\) | −0.644637 | + | 0.945509i | −0.0256018 | + | 0.0375510i | ||||
\(635\) | −1.08677 | − | 17.4373i | −0.0431271 | − | 0.691979i | ||||
\(636\) | − | 17.5637i | − | 0.696445i | ||||||
\(637\) | 0.233084 | − | 11.0168i | 0.00923511 | − | 0.436502i | ||||
\(638\) | 11.1477 | + | 11.1477i | 0.441343 | + | 0.441343i | ||||
\(639\) | −2.05912 | − | 13.6614i | −0.0814577 | − | 0.540437i | ||||
\(640\) | −1.73059 | − | 1.41601i | −0.0684074 | − | 0.0559725i | ||||
\(641\) | 19.1209 | − | 5.89803i | 0.755232 | − | 0.232958i | 0.106852 | − | 0.994275i | \(-0.465923\pi\) |
0.648380 | + | 0.761317i | \(0.275447\pi\) | |||||||
\(642\) | 28.9047 | − | 24.8745i | 1.14078 | − | 0.981718i | ||||
\(643\) | −13.5173 | + | 4.72991i | −0.533070 | + | 0.186529i | −0.583373 | − | 0.812205i | \(-0.698267\pi\) |
0.0503022 | + | 0.998734i | \(0.483982\pi\) | |||||||
\(644\) | 5.75114 | − | 13.4794i | 0.226627 | − | 0.531165i | ||||
\(645\) | 31.3309 | − | 69.4198i | 1.23365 | − | 2.73340i | ||||
\(646\) | −1.41550 | − | 3.60663i | −0.0556920 | − | 0.141901i | ||||
\(647\) | 16.0012 | − | 18.5938i | 0.629074 | − | 0.730997i | −0.349490 | − | 0.936940i | \(-0.613645\pi\) |
0.978564 | + | 0.205943i | \(0.0660262\pi\) | |||||||
\(648\) | 10.1019 | − | 4.40743i | 0.396842 | − | 0.173140i | ||||
\(649\) | −18.9714 | − | 5.85190i | −0.744692 | − | 0.229707i | ||||
\(650\) | −3.76306 | − | 6.91308i | −0.147599 | − | 0.271153i | ||||
\(651\) | −1.94998 | + | 66.5857i | −0.0764258 | + | 2.60970i | ||||
\(652\) | 1.38219 | + | 12.2672i | 0.0541306 | + | 0.480422i | ||||
\(653\) | −46.9361 | − | 8.88079i | −1.83675 | − | 0.347532i | −0.852282 | − | 0.523082i | \(-0.824782\pi\) |
−0.984471 | + | 0.175550i | \(0.943830\pi\) | |||||||
\(654\) | −13.9723 | + | 12.9644i | −0.546360 | + | 0.506948i | ||||
\(655\) | 10.5715 | − | 29.0370i | 0.413064 | − | 1.13457i | ||||
\(656\) | 4.98804 | + | 2.87985i | 0.194750 | + | 0.112439i | ||||
\(657\) | −20.6469 | + | 32.8594i | −0.805512 | + | 1.28197i | ||||
\(658\) | 6.07755 | − | 12.8869i | 0.236928 | − | 0.502384i | ||||
\(659\) | 4.60492 | + | 1.05104i | 0.179382 | + | 0.0409428i | 0.311268 | − | 0.950322i | \(-0.399246\pi\) |
−0.131886 | + | 0.991265i | \(0.542103\pi\) | |||||||
\(660\) | 14.4278 | + | 15.9464i | 0.561600 | + | 0.620713i | ||||
\(661\) | 5.69297 | − | 37.7704i | 0.221431 | − | 1.46910i | −0.551269 | − | 0.834328i | \(-0.685856\pi\) |
0.772700 | − | 0.634771i | \(-0.218906\pi\) | |||||||
\(662\) | −24.8066 | + | 18.3081i | −0.964134 | + | 0.711564i | ||||
\(663\) | −15.3543 | + | 0.574519i | −0.596313 | + | 0.0223125i | ||||
\(664\) | −0.568894 | + | 2.49249i | −0.0220774 | + | 0.0967272i | ||||
\(665\) | −4.25956 | + | 5.71827i | −0.165179 | + | 0.221745i | ||||
\(666\) | 14.2807 | + | 62.5678i | 0.553366 | + | 2.42445i | ||||
\(667\) | 7.13572 | + | 26.6309i | 0.276296 | + | 1.03115i | ||||
\(668\) | 16.9756 | + | 4.54860i | 0.656807 | + | 0.175991i | ||||
\(669\) | −30.1342 | − | 32.4769i | −1.16505 | − | 1.25563i | ||||
\(670\) | 31.9174 | + | 8.98324i | 1.23308 | + | 0.347053i | ||||
\(671\) | −16.1768 | − | 12.9006i | −0.624499 | − | 0.498022i | ||||
\(672\) | 6.67402 | + | 4.47129i | 0.257456 | + | 0.172484i | ||||
\(673\) | 4.02946 | − | 35.7625i | 0.155324 | − | 1.37854i | −0.638137 | − | 0.769922i | \(-0.720295\pi\) |
0.793462 | − | 0.608620i | \(-0.208277\pi\) | |||||||
\(674\) | −5.36285 | + | 17.3859i | −0.206569 | + | 0.669681i | ||||
\(675\) | 11.4601 | + | 47.5112i | 0.441100 | + | 1.82871i | ||||
\(676\) | 0.786306 | + | 10.4925i | 0.0302425 | + | 0.403559i | ||||
\(677\) | −3.41243 | + | 7.82137i | −0.131150 | + | 0.300600i | −0.969730 | − | 0.244179i | \(-0.921482\pi\) |
0.838580 | + | 0.544779i | \(0.183386\pi\) | |||||||
\(678\) | 1.75898 | − | 5.02687i | 0.0675531 | − | 0.193056i | ||||
\(679\) | 25.6172 | − | 1.16698i | 0.983100 | − | 0.0447845i | ||||
\(680\) | −1.77310 | − | 6.96602i | −0.0679954 | − | 0.267135i | ||||
\(681\) | 5.80896 | − | 77.5152i | 0.222600 | − | 2.97039i | ||||
\(682\) | −23.2208 | − | 12.2726i | −0.889170 | − | 0.469940i | ||||
\(683\) | −4.07304 | − | 21.5265i | −0.155851 | − | 0.823690i | −0.970013 | − | 0.243053i | \(-0.921851\pi\) |
0.814162 | − | 0.580637i | \(-0.197197\pi\) | |||||||
\(684\) | −7.41210 | + | 1.11719i | −0.283409 | + | 0.0427170i | ||||
\(685\) | −1.34540 | + | 15.3622i | −0.0514052 | + | 0.586960i | ||||
\(686\) | −17.7671 | + | 5.22787i | −0.678351 | + | 0.199601i | ||||
\(687\) | 12.1427 | − | 12.1427i | 0.463272 | − | 0.463272i | ||||
\(688\) | 9.02583 | + | 6.66136i | 0.344106 | + | 0.253962i | ||||
\(689\) | 7.52364 | + | 5.12953i | 0.286628 | + | 0.195419i | ||||
\(690\) | 7.90741 | + | 36.7666i | 0.301030 | + | 1.39968i | ||||
\(691\) | −18.0230 | − | 1.35063i | −0.685626 | − | 0.0513806i | −0.272638 | − | 0.962117i | \(-0.587896\pi\) |
−0.412988 | + | 0.910736i | \(0.635515\pi\) | |||||||
\(692\) | −2.50057 | − | 7.14622i | −0.0950574 | − | 0.271658i | ||||
\(693\) | −38.4918 | − | 35.1377i | −1.46218 | − | 1.33477i | ||||
\(694\) | −0.716824 | − | 1.48850i | −0.0272103 | − | 0.0565027i | ||||
\(695\) | 22.2992 | + | 12.1461i | 0.845857 | + | 0.460727i | ||||
\(696\) | −15.0708 | + | 1.12940i | −0.571256 | + | 0.0428097i | ||||
\(697\) | 7.40412 | + | 16.9704i | 0.280451 | + | 0.642800i | ||||
\(698\) | 14.5991 | − | 7.71586i | 0.552585 | − | 0.292050i | ||||
\(699\) | 40.1962 | + | 50.4044i | 1.52036 | + | 1.90647i | ||||
\(700\) | −9.16128 | + | 9.54311i | −0.346264 | + | 0.360696i | ||||
\(701\) | −24.3499 | + | 30.5338i | −0.919683 | + | 1.15325i | 0.0681421 | + | 0.997676i | \(0.478293\pi\) |
−0.987825 | + | 0.155570i | \(0.950279\pi\) | |||||||
\(702\) | −2.86067 | + | 15.1190i | −0.107969 | + | 0.570631i | ||||
\(703\) | 0.465037 | − | 12.4284i | 0.0175392 | − | 0.468746i | ||||
\(704\) | −2.74302 | + | 1.58368i | −0.103381 | + | 0.0596873i | ||||
\(705\) | 6.34589 | + | 36.0081i | 0.239000 | + | 1.35614i | ||||
\(706\) | 15.8374 | − | 3.61477i | 0.596047 | − | 0.136044i | ||||
\(707\) | 8.16456 | + | 34.4779i | 0.307060 | + | 1.29667i | ||||
\(708\) | 16.1149 | − | 10.1257i | 0.605635 | − | 0.380546i | ||||
\(709\) | −16.7849 | + | 18.0898i | −0.630369 | + | 0.679377i | −0.964782 | − | 0.263050i | \(-0.915272\pi\) |
0.334413 | + | 0.942427i | \(0.391462\pi\) | |||||||
\(710\) | −1.16604 | + | 4.82848i | −0.0437607 | + | 0.181210i | ||||
\(711\) | 30.1678 | + | 4.54707i | 1.13138 | + | 0.170528i | ||||
\(712\) | 0.502909 | + | 13.4405i | 0.0188473 | + | 0.503705i | ||||
\(713\) | −24.4369 | − | 38.8912i | −0.915170 | − | 1.45649i | ||||
\(714\) | 8.72694 | + | 24.3050i | 0.326598 | + | 0.909594i | ||||
\(715\) | −11.0445 | + | 1.52313i | −0.413042 | + | 0.0569619i | ||||
\(716\) | −2.12121 | + | 3.67404i | −0.0792732 | + | 0.137305i | ||||
\(717\) | −22.5668 | + | 84.2203i | −0.842771 | + | 3.14526i | ||||
\(718\) | −3.53978 | − | 0.132449i | −0.132103 | − | 0.00494296i | ||||
\(719\) | −30.8392 | + | 21.0258i | −1.15011 | + | 0.784130i | −0.979547 | − | 0.201217i | \(-0.935510\pi\) |
−0.170561 | + | 0.985347i | \(0.554558\pi\) | |||||||
\(720\) | −13.9024 | + | 0.345461i | −0.518113 | + | 0.0128746i | ||||
\(721\) | 27.0493 | + | 0.792145i | 1.00737 | + | 0.0295010i | ||||
\(722\) | −17.4370 | − | 1.96468i | −0.648939 | − | 0.0731178i | ||||
\(723\) | 19.8002 | + | 37.4639i | 0.736378 | + | 1.39330i | ||||
\(724\) | 4.05026 | − | 10.3199i | 0.150527 | − | 0.383536i | ||||
\(725\) | 2.48237 | − | 24.7629i | 0.0921931 | − | 0.919671i | ||||
\(726\) | −2.73540 | + | 1.07356i | −0.101520 | + | 0.0398437i | ||||
\(727\) | −1.23916 | − | 0.433602i | −0.0459581 | − | 0.0160814i | 0.307202 | − | 0.951644i | \(-0.400607\pi\) |
−0.353160 | + | 0.935563i | \(0.614893\pi\) | |||||||
\(728\) | −3.86451 | + | 1.55305i | −0.143228 | + | 0.0575599i | ||||
\(729\) | −8.89116 | + | 18.4627i | −0.329302 | + | 0.683803i | ||||
\(730\) | 11.3296 | − | 8.14386i | 0.419326 | − | 0.301418i | ||||
\(731\) | 10.6292 | + | 34.4590i | 0.393135 | + | 1.27451i | ||||
\(732\) | 19.4891 | − | 3.68754i | 0.720338 | − | 0.136295i | ||||
\(733\) | 16.6259 | − | 22.5273i | 0.614091 | − | 0.832063i | −0.381646 | − | 0.924309i | \(-0.624643\pi\) |
0.995736 | + | 0.0922454i | \(0.0294044\pi\) | |||||||
\(734\) | 29.3920 | 1.08488 | ||||||||
\(735\) | 29.4947 | − | 37.2664i | 1.08793 | − | 1.37459i | ||||
\(736\) | −5.53910 | −0.204174 | ||||||||
\(737\) | 27.8901 | − | 37.7897i | 1.02734 | − | 1.39200i | ||||
\(738\) | 35.1966 | − | 6.65956i | 1.29561 | − | 0.245142i | ||||
\(739\) | 6.46869 | + | 20.9710i | 0.237955 | + | 0.771430i | 0.993245 | + | 0.116039i | \(0.0370198\pi\) |
−0.755290 | + | 0.655391i | \(0.772504\pi\) | |||||||
\(740\) | 3.72521 | − | 22.7714i | 0.136942 | − | 0.837092i | ||||
\(741\) | 2.49952 | − | 5.19031i | 0.0918222 | − | 0.190671i | ||||
\(742\) | 4.39211 | − | 14.6606i | 0.161239 | − | 0.538208i | ||||
\(743\) | −47.1136 | − | 16.4858i | −1.72843 | − | 0.604804i | −0.731410 | − | 0.681938i | \(-0.761138\pi\) |
−0.997021 | + | 0.0771335i | \(0.975423\pi\) | |||||||
\(744\) | 23.4374 | − | 9.19849i | 0.859256 | − | 0.337233i | ||||
\(745\) | −10.5703 | + | 10.3081i | −0.387266 | + | 0.377661i | ||||
\(746\) | 0.0526469 | − | 0.134142i | 0.00192754 | − | 0.00491129i | ||||
\(747\) | 7.42962 | + | 14.0575i | 0.271836 | + | 0.514338i | ||||
\(748\) | −10.1179 | − | 1.14001i | −0.369947 | − | 0.0416830i | ||||
\(749\) | 30.3474 | − | 13.5349i | 1.10887 | − | 0.494555i | ||||
\(750\) | 5.06856 | − | 33.5666i | 0.185078 | − | 1.22568i | ||||
\(751\) | 27.1303 | − | 18.4971i | 0.989998 | − | 0.674969i | 0.0439629 | − | 0.999033i | \(-0.486002\pi\) |
0.946035 | + | 0.324064i | \(0.105049\pi\) | |||||||
\(752\) | −5.38152 | − | 0.201362i | −0.196244 | − | 0.00734293i | ||||
\(753\) | −14.5919 | + | 54.4577i | −0.531758 | + | 1.98455i | ||||
\(754\) | 3.91767 | − | 6.78561i | 0.142673 | − | 0.247117i | ||||
\(755\) | 18.4652 | + | 13.9895i | 0.672018 | + | 0.509129i | ||||
\(756\) | 25.6746 | − | 3.10424i | 0.933777 | − | 0.112900i | ||||
\(757\) | −25.6909 | − | 40.8868i | −0.933752 | − | 1.48606i | −0.872893 | − | 0.487911i | \(-0.837759\pi\) |
−0.0608586 | − | 0.998146i | \(-0.519384\pi\) | |||||||
\(758\) | −0.264033 | − | 7.05642i | −0.00959010 | − | 0.256301i | ||||
\(759\) | 52.6754 | + | 7.93953i | 1.91199 | + | 0.288187i | ||||
\(760\) | 2.61973 | + | 0.632645i | 0.0950276 | + | 0.0229484i | ||||
\(761\) | 17.4687 | − | 18.8268i | 0.633240 | − | 0.682470i | −0.332167 | − | 0.943221i | \(-0.607780\pi\) |
0.965406 | + | 0.260751i | \(0.0839701\pi\) | |||||||
\(762\) | 20.0875 | − | 12.6218i | 0.727695 | − | 0.457241i | ||||
\(763\) | −14.9048 | + | 7.32752i | −0.539591 | + | 0.265274i | ||||
\(764\) | 24.8584 | − | 5.67378i | 0.899347 | − | 0.205270i | ||||
\(765\) | −36.6179 | − | 25.6450i | −1.32392 | − | 0.927197i | ||||
\(766\) | −15.0921 | + | 8.71345i | −0.545301 | + | 0.314830i | ||||
\(767\) | −0.368945 | + | 9.86027i | −0.0133218 | + | 0.356034i | ||||
\(768\) | 0.564488 | − | 2.98339i | 0.0203692 | − | 0.107654i | ||||
\(769\) | −2.24251 | + | 2.81202i | −0.0808669 | + | 0.101404i | −0.820619 | − | 0.571475i | \(-0.806371\pi\) |
0.739752 | + | 0.672879i | \(0.234943\pi\) | |||||||
\(770\) | 8.05536 | + | 16.9186i | 0.290295 | + | 0.609703i | ||||
\(771\) | −27.2684 | − | 34.1935i | −0.982049 | − | 1.23145i | ||||
\(772\) | −13.6273 | + | 7.20221i | −0.490456 | + | 0.259213i | ||||
\(773\) | −1.57001 | − | 3.59850i | −0.0564693 | − | 0.129429i | 0.886040 | − | 0.463609i | \(-0.153446\pi\) |
−0.942509 | + | 0.334180i | \(0.891541\pi\) | |||||||
\(774\) | 69.5716 | − | 5.21367i | 2.50070 | − | 0.187401i | ||||
\(775\) | 8.20807 | + | 40.6404i | 0.294843 | + | 1.45985i | ||||
\(776\) | −4.20540 | − | 8.73260i | −0.150965 | − | 0.313482i | ||||
\(777\) | −5.52318 | + | 82.7123i | −0.198143 | + | 2.96729i | ||||
\(778\) | −1.39753 | − | 3.99390i | −0.0501037 | − | 0.143188i | ||||
\(779\) | −6.92250 | − | 0.518770i | −0.248024 | − | 0.0185868i | ||||
\(780\) | 5.79943 | − | 8.97752i | 0.207653 | − | 0.321447i | ||||
\(781\) | 5.81350 | + | 3.96357i | 0.208023 | + | 0.141828i | ||||
\(782\) | −14.3268 | − | 10.5737i | −0.512325 | − | 0.378113i | ||||
\(783\) | −34.4028 | + | 34.4028i | −1.22946 | + | 1.22946i | ||||
\(784\) | 4.45276 | + | 5.40120i | 0.159027 | + | 0.192900i | ||||
\(785\) | −28.9409 | − | 2.53461i | −1.03294 | − | 0.0904640i | ||||
\(786\) | 41.4920 | − | 6.25392i | 1.47997 | − | 0.223070i | ||||
\(787\) | 4.95279 | + | 26.1761i | 0.176548 | + | 0.933078i | 0.953016 | + | 0.302921i | \(0.0979618\pi\) |
−0.776468 | + | 0.630157i | \(0.782991\pi\) | |||||||
\(788\) | 9.87779 | + | 5.22056i | 0.351882 | + | 0.185975i | ||||
\(789\) | −2.81592 | + | 37.5758i | −0.100249 | + | 1.33774i | ||||
\(790\) | −9.42982 | − | 5.60334i | −0.335498 | − | 0.199358i | ||||
\(791\) | 2.72530 | − | 3.75613i | 0.0969004 | − | 0.133552i | ||||
\(792\) | −6.50608 | + | 18.5933i | −0.231183 | + | 0.660684i | ||||
\(793\) | −4.11225 | + | 9.42538i | −0.146030 | + | 0.334705i | ||||
\(794\) | 0.413174 | + | 5.51343i | 0.0146630 | + | 0.195664i | ||||
\(795\) | 12.5048 | + | 37.2296i | 0.443499 | + | 1.32040i | ||||
\(796\) | −2.96154 | + | 9.60107i | −0.104969 | + | 0.340301i | ||||
\(797\) | 1.50155 | − | 13.3266i | 0.0531876 | − | 0.472053i | −0.938681 | − | 0.344787i | \(-0.887951\pi\) |
0.991869 | − | 0.127266i | \(-0.0406203\pi\) | |||||||
\(798\) | −9.58553 | − | 1.36525i | −0.339324 | − | 0.0483293i | ||||
\(799\) | −13.5348 | − | 10.7937i | −0.478828 | − | 0.381853i | ||||
\(800\) | 4.67646 | + | 1.76938i | 0.165338 | + | 0.0625569i | ||||
\(801\) | 56.8956 | + | 61.3189i | 2.01031 | + | 2.16660i | ||||
\(802\) | −29.2354 | − | 7.83361i | −1.03234 | − | 0.276614i | ||||
\(803\) | −5.11531 | − | 19.0906i | −0.180515 | − | 0.673692i | ||||
\(804\) | 10.0188 | + | 43.8953i | 0.353336 | + | 1.54807i | ||||
\(805\) | −2.59372 | + | 32.6669i | −0.0914168 | + | 1.15136i | ||||
\(806\) | −2.90467 | + | 12.7262i | −0.102312 | + | 0.448260i | ||||
\(807\) | 52.7920 | − | 1.97534i | 1.85837 | − | 0.0695352i | ||||
\(808\) | 10.7750 | − | 7.95233i | 0.379064 | − | 0.279762i | ||||
\(809\) | 3.85348 | − | 25.5662i | 0.135481 | − | 0.898859i | −0.813054 | − | 0.582188i | \(-0.802197\pi\) |
0.948535 | − | 0.316671i | \(-0.102565\pi\) | |||||||
\(810\) | −18.2751 | + | 16.5347i | −0.642121 | + | 0.580969i | ||||
\(811\) | 3.59020 | + | 0.819440i | 0.126069 | + | 0.0287744i | 0.285090 | − | 0.958501i | \(-0.407977\pi\) |
−0.159021 | + | 0.987275i | \(0.550834\pi\) | |||||||
\(812\) | −12.8622 | − | 2.82599i | −0.451374 | − | 0.0991727i | ||||
\(813\) | −0.263997 | + | 0.420149i | −0.00925879 | + | 0.0147353i | ||||
\(814\) | −28.3053 | − | 16.3421i | −0.992100 | − | 0.572789i | ||||
\(815\) | −11.6637 | − | 25.0187i | −0.408561 | − | 0.876367i | ||||
\(816\) | 7.15508 | − | 6.63894i | 0.250478 | − | 0.232409i | ||||
\(817\) | −13.2846 | − | 2.51359i | −0.464771 | − | 0.0879394i | ||||
\(818\) | −1.50471 | − | 13.3547i | −0.0526110 | − | 0.466936i | ||||
\(819\) | −11.9171 | + | 22.9985i | −0.416416 | + | 0.803632i | ||||
\(820\) | −12.6235 | − | 2.55307i | −0.440831 | − | 0.0891569i | ||||
\(821\) | −7.66190 | − | 2.36338i | −0.267402 | − | 0.0824827i | 0.158155 | − | 0.987414i | \(-0.449446\pi\) |
−0.425557 | + | 0.904932i | \(0.639922\pi\) | |||||||
\(822\) | −19.1928 | + | 8.37373i | −0.669425 | + | 0.292067i | ||||
\(823\) | 21.5277 | − | 25.0157i | 0.750409 | − | 0.871991i | −0.244819 | − | 0.969569i | \(-0.578728\pi\) |
0.995228 | + | 0.0975777i | \(0.0311094\pi\) | |||||||
\(824\) | −3.73672 | − | 9.52101i | −0.130175 | − | 0.331680i | ||||
\(825\) | −41.9358 | − | 23.5294i | −1.46002 | − | 0.819188i | ||||
\(826\) | 15.9834 | − | 4.42220i | 0.556134 | − | 0.153868i | ||||
\(827\) | −13.7641 | + | 4.81625i | −0.478623 | + | 0.167478i | −0.558799 | − | 0.829303i | \(-0.688738\pi\) |
0.0801756 | + | 0.996781i | \(0.474452\pi\) | |||||||
\(828\) | −26.1115 | + | 22.4708i | −0.907437 | + | 0.780913i | ||||
\(829\) | 5.04047 | − | 1.55478i | 0.175063 | − | 0.0539997i | −0.205985 | − | 0.978555i | \(-0.566040\pi\) |
0.381047 | + | 0.924556i | \(0.375563\pi\) | |||||||
\(830\) | −0.568691 | − | 5.68834i | −0.0197395 | − | 0.197445i | ||||
\(831\) | 14.5638 | + | 96.6245i | 0.505212 | + | 3.35187i | ||||
\(832\) | 1.11312 | + | 1.11312i | 0.0385903 | + | 0.0385903i | ||||
\(833\) | 1.20658 | + | 22.4701i | 0.0418057 | + | 0.778541i | ||||
\(834\) | 34.4802i | 1.19395i | ||||||||
\(835\) | −39.2216 | + | 2.44446i | −1.35732 | + | 0.0845939i | ||||
\(836\) | 2.15047 | − | 3.15416i | 0.0743755 | − | 0.109089i | ||||
\(837\) | 37.8742 | − | 71.6614i | 1.30912 | − | 2.47698i | ||||
\(838\) | −4.04967 | − | 4.70580i | −0.139893 | − | 0.162559i | ||||
\(839\) | 36.4195 | + | 17.5387i | 1.25734 | + | 0.605503i | 0.939470 | − | 0.342631i | \(-0.111318\pi\) |
0.317871 | + | 0.948134i | \(0.397032\pi\) | |||||||
\(840\) | −17.3303 | − | 4.72608i | −0.597952 | − | 0.163065i | ||||
\(841\) | −3.80700 | + | 1.83336i | −0.131276 | + | 0.0632192i | ||||
\(842\) | 21.7775 | + | 9.50142i | 0.750501 | + | 0.327440i | ||||
\(843\) | 7.79768 | + | 6.71045i | 0.268566 | + | 0.231120i | ||||
\(844\) | −22.2255 | − | 8.72288i | −0.765034 | − | 0.300254i | ||||
\(845\) | −9.13707 | − | 21.6811i | −0.314325 | − | 0.745853i | ||||
\(846\) | −26.1856 | + | 20.8823i | −0.900278 | + | 0.717948i | ||||
\(847\) | −2.55173 | + | 0.212083i | −0.0876786 | + | 0.00728727i | ||||
\(848\) | −5.74814 | + | 0.647660i | −0.197392 | + | 0.0222407i | ||||
\(849\) | 22.1978 | + | 32.5581i | 0.761825 | + | 1.11739i | ||||
\(850\) | 8.71802 | + | 13.5034i | 0.299026 | + | 0.463164i | ||||
\(851\) | −28.5791 | − | 49.5004i | −0.979677 | − | 1.69685i | ||||
\(852\) | −6.51517 | + | 1.74573i | −0.223206 | + | 0.0598079i | ||||
\(853\) | 32.8679 | + | 20.6523i | 1.12538 | + | 0.707121i | 0.960247 | − | 0.279151i | \(-0.0900529\pi\) |
0.165130 | + | 0.986272i | \(0.447196\pi\) | |||||||
\(854\) | 17.1899 | + | 1.79556i | 0.588228 | + | 0.0614428i | ||||
\(855\) | 14.9160 | − | 7.64529i | 0.510116 | − | 0.261464i | ||||
\(856\) | −9.20664 | − | 8.54252i | −0.314677 | − | 0.291977i | ||||
\(857\) | −19.1308 | − | 25.9213i | −0.653495 | − | 0.885454i | 0.345094 | − | 0.938568i | \(-0.387847\pi\) |
−0.998588 | + | 0.0531141i | \(0.983085\pi\) | |||||||
\(858\) | −8.98994 | − | 12.1809i | −0.306912 | − | 0.415850i | ||||
\(859\) | −19.5415 | − | 18.1318i | −0.666747 | − | 0.618651i | 0.272393 | − | 0.962186i | \(-0.412185\pi\) |
−0.939140 | + | 0.343536i | \(0.888375\pi\) | |||||||
\(860\) | −23.8747 | − | 7.69395i | −0.814119 | − | 0.262361i | ||||
\(861\) | 46.0193 | + | 4.80691i | 1.56833 | + | 0.163819i | ||||
\(862\) | 4.53997 | + | 2.85265i | 0.154632 | + | 0.0971618i | ||||
\(863\) | −11.3171 | + | 3.03241i | −0.385239 | + | 0.103224i | −0.446240 | − | 0.894913i | \(-0.647237\pi\) |
0.0610014 | + | 0.998138i | \(0.480571\pi\) | |||||||
\(864\) | −4.88738 | − | 8.46520i | −0.166272 | − | 0.287992i | ||||
\(865\) | 10.3883 | + | 13.3675i | 0.353214 | + | 0.454507i | ||||
\(866\) | −19.6356 | − | 28.8001i | −0.667244 | − | 0.978667i | ||||
\(867\) | −20.1133 | + | 2.26622i | −0.683084 | + | 0.0769650i | ||||
\(868\) | 21.8637 | − | 1.81717i | 0.742103 | − | 0.0616787i | ||||
\(869\) | −12.1477 | + | 9.68745i | −0.412082 | + | 0.328624i | ||||
\(870\) | 31.1413 | − | 13.1239i | 1.05579 | − | 0.444941i | ||||
\(871\) | −21.7292 | − | 8.52806i | −0.736264 | − | 0.288962i | ||||
\(872\) | 4.75814 | + | 4.09471i | 0.161131 | + | 0.138664i | ||||
\(873\) | −55.2504 | − | 24.1055i | −1.86994 | − | 0.815848i | ||||
\(874\) | 6.01490 | − | 2.89662i | 0.203457 | − | 0.0979797i | ||||
\(875\) | 12.6247 | − | 26.7510i | 0.426794 | − | 0.904349i | ||||
\(876\) | 17.0701 | + | 8.22051i | 0.576744 | + | 0.277745i | ||||
\(877\) | 13.8879 | + | 16.1381i | 0.468962 | + | 0.544944i | 0.941786 | − | 0.336213i | \(-0.109146\pi\) |
−0.472824 | + | 0.881157i | \(0.656765\pi\) | |||||||
\(878\) | 7.23808 | − | 13.6951i | 0.244273 | − | 0.462188i | ||||
\(879\) | 9.97010 | − | 14.6234i | 0.336283 | − | 0.493237i | ||||
\(880\) | 4.68683 | − | 5.30987i | 0.157993 | − | 0.178996i | ||||
\(881\) | − | 41.9288i | − | 1.41262i | −0.707903 | − | 0.706309i | \(-0.750359\pi\) | ||
0.707903 | − | 0.706309i | \(-0.249641\pi\) | |||||||
\(882\) | 42.9018 | + | 7.39767i | 1.44458 | + | 0.249093i | ||||
\(883\) | −29.4148 | − | 29.4148i | −0.989887 | − | 0.989887i | 0.0100628 | − | 0.999949i | \(-0.496797\pi\) |
−0.999949 | + | 0.0100628i | \(0.996797\pi\) | |||||||
\(884\) | 0.754217 | + | 5.00390i | 0.0253670 | + | 0.168299i | ||||
\(885\) | −26.9495 | + | 32.9366i | −0.905897 | + | 1.10715i | ||||
\(886\) | −25.5276 | + | 7.87424i | −0.857618 | + | 0.264540i | ||||
\(887\) | 26.7920 | − | 23.0563i | 0.899586 | − | 0.774156i | −0.0752305 | − | 0.997166i | \(-0.523969\pi\) |
0.974816 | + | 0.223010i | \(0.0715883\pi\) | |||||||
\(888\) | 29.5737 | − | 10.3483i | 0.992428 | − | 0.347266i | ||||
\(889\) | 19.9236 | − | 5.51236i | 0.668217 | − | 0.184879i | ||||
\(890\) | −10.6352 | − | 28.1317i | −0.356494 | − | 0.942978i | ||||
\(891\) | 12.7538 | + | 32.4962i | 0.427269 | + | 1.08866i | ||||
\(892\) | −9.51767 | + | 11.0597i | −0.318675 | + | 0.370307i | ||||
\(893\) | 5.94909 | − | 2.59556i | 0.199079 | − | 0.0868572i | ||||
\(894\) | −19.1577 | − | 5.90938i | −0.640731 | − | 0.197639i | ||||
\(895\) | 1.88051 | − | 9.29806i | 0.0628585 | − | 0.310800i | ||||
\(896\) | 1.21724 | − | 2.34911i | 0.0406650 | − | 0.0784784i | ||||
\(897\) | −2.96430 | − | 26.3089i | −0.0989753 | − | 0.878430i | ||||
\(898\) | −5.14806 | − | 0.974065i | −0.171793 | − | 0.0325050i | ||||
\(899\) | −30.2557 | + | 28.0732i | −1.00908 | + | 0.936294i | ||||
\(900\) | 29.2229 | − | 10.6304i | 0.974098 | − | 0.354345i | ||||
\(901\) | −16.1038 | − | 9.29754i | −0.536496 | − | 0.309746i | ||||
\(902\) | −9.70589 | + | 15.4468i | −0.323171 | + | 0.514323i | ||||
\(903\) | 88.0173 | + | 19.3385i | 2.92903 | + | 0.643547i | ||||
\(904\) | −1.71003 | − | 0.390303i | −0.0568747 | − | 0.0129813i | ||||
\(905\) | −1.23787 | + | 24.7587i | −0.0411483 | + | 0.823006i | ||||
\(906\) | −4.68842 | + | 31.1056i | −0.155762 | + | 1.03342i | ||||
\(907\) | −20.0215 | + | 14.7765i | −0.664803 | + | 0.490647i | −0.873177 | − | 0.487402i | \(-0.837944\pi\) |
0.208375 | + | 0.978049i | \(0.433183\pi\) | |||||||
\(908\) | −25.5829 | + | 0.957246i | −0.849000 | + | 0.0317673i | ||||
\(909\) | 18.5332 | − | 81.1992i | 0.614707 | − | 2.69321i | ||||
\(910\) | 7.08585 | − | 6.04340i | 0.234894 | − | 0.200337i | ||||
\(911\) | 0.864645 | + | 3.78826i | 0.0286470 | + | 0.125511i | 0.987230 | − | 0.159304i | \(-0.0509251\pi\) |
−0.958583 | + | 0.284815i | \(0.908068\pi\) | |||||||
\(912\) | 0.947162 | + | 3.53486i | 0.0313637 | + | 0.117051i | ||||
\(913\) | −7.82172 | − | 2.09582i | −0.258861 | − | 0.0693616i | ||||
\(914\) | −10.4208 | − | 11.2310i | −0.344690 | − | 0.371488i | ||||
\(915\) | −38.6855 | + | 21.6921i | −1.27890 | + | 0.717118i | ||||
\(916\) | −4.42175 | − | 3.52623i | −0.146099 | − | 0.116510i | ||||
\(917\) | 36.1978 | + | 5.15559i | 1.19536 | + | 0.170253i | ||||
\(918\) | 3.51818 | − | 31.2247i | 0.116117 | − | 1.03057i | ||||
\(919\) | −2.23297 | + | 7.23910i | −0.0736588 | + | 0.238796i | −0.984914 | − | 0.173047i | \(-0.944639\pi\) |
0.911255 | + | 0.411843i | \(0.135115\pi\) | |||||||
\(920\) | 11.7412 | − | 3.94366i | 0.387095 | − | 0.130019i | ||||
\(921\) | −5.43403 | − | 72.5121i | −0.179057 | − | 2.38936i | ||||
\(922\) | 3.92446 | − | 8.99495i | 0.129245 | − | 0.296233i | ||||
\(923\) | 1.15497 | − | 3.30071i | 0.0380162 | − | 0.108644i | ||||
\(924\) | −14.9427 | + | 20.5947i | −0.491580 | + | 0.677517i | ||||
\(925\) | 8.31617 | + | 50.9205i | 0.273434 | + | 1.67426i | ||||
\(926\) | −0.510120 | + | 6.80707i | −0.0167636 | + | 0.223694i | ||||
\(927\) | −56.2395 | − | 29.7234i | −1.84715 | − | 0.976245i | ||||
\(928\) | 0.925357 | + | 4.89063i | 0.0303763 | + | 0.160543i | ||||
\(929\) | −15.8438 | + | 2.38807i | −0.519819 | + | 0.0783501i | −0.403711 | − | 0.914887i | \(-0.632280\pi\) |
−0.116108 | + | 0.993237i | \(0.537042\pi\) | |||||||
\(930\) | −43.1310 | + | 36.1847i | −1.41432 | + | 1.18654i | ||||
\(931\) | −7.65976 | − | 3.53662i | −0.251038 | − | 0.115908i | ||||
\(932\) | 15.0138 | − | 15.0138i | 0.491795 | − | 0.491795i | ||||
\(933\) | −38.7536 | − | 28.6014i | −1.26873 | − | 0.936369i | ||||
\(934\) | 15.8984 | + | 10.8393i | 0.520211 | + | 0.354674i | ||||
\(935\) | 22.2585 | − | 4.78714i | 0.727931 | − | 0.156556i | ||||
\(936\) | 9.76290 | + | 0.731629i | 0.319111 | + | 0.0239140i | ||||
\(937\) | 12.6701 | + | 36.2091i | 0.413915 | + | 1.18290i | 0.942554 | + | 0.334054i | \(0.108417\pi\) |
−0.528639 | + | 0.848847i | \(0.677298\pi\) | |||||||
\(938\) | −2.61396 | + | 39.1453i | −0.0853488 | + | 1.27814i | ||||
\(939\) | 23.3109 | + | 48.4056i | 0.760723 | + | 1.57966i | ||||
\(940\) | 11.5505 | − | 3.40465i | 0.376737 | − | 0.111047i | ||||
\(941\) | −20.9142 | + | 1.56731i | −0.681785 | + | 0.0510927i | −0.411120 | − | 0.911581i | \(-0.634862\pi\) |
−0.270664 | + | 0.962674i | \(0.587243\pi\) | |||||||
\(942\) | −15.7753 | − | 36.1573i | −0.513986 | − | 1.17807i | ||||
\(943\) | −28.2064 | + | 14.9075i | −0.918526 | + | 0.485455i | ||||
\(944\) | −3.90811 | − | 4.90061i | −0.127198 | − | 0.159501i | ||||
\(945\) | −52.2122 | + | 24.8596i | −1.69846 | + | 0.808681i | ||||
\(946\) | −22.1532 | + | 27.7792i | −0.720262 | + | 0.903180i | ||||
\(947\) | 2.56363 | − | 13.5491i | 0.0833068 | − | 0.440287i | −0.915934 | − | 0.401329i | \(-0.868548\pi\) |
0.999241 | − | 0.0389581i | \(-0.0124039\pi\) | |||||||
\(948\) | 0.556929 | − | 14.8842i | 0.0180882 | − | 0.483418i | ||||
\(949\) | −8.50674 | + | 4.91137i | −0.276140 | + | 0.159430i | ||||
\(950\) | −6.00345 | + | 0.524152i | −0.194778 | + | 0.0170057i | ||||
\(951\) | 3.38751 | − | 0.773178i | 0.109848 | − | 0.0250720i | ||||
\(952\) | 7.63262 | − | 3.75236i | 0.247375 | − | 0.121615i | ||||
\(953\) | 12.0762 | − | 7.58797i | 0.391186 | − | 0.245798i | −0.322050 | − | 0.946723i | \(-0.604372\pi\) |
0.713236 | + | 0.700924i | \(0.247229\pi\) | |||||||
\(954\) | −24.4695 | + | 26.3719i | −0.792231 | + | 0.853822i | ||||
\(955\) | −48.6527 | + | 29.7251i | −1.57437 | + | 0.961881i | ||||
\(956\) | 28.3953 | + | 4.27990i | 0.918370 | + | 0.138422i | ||||
\(957\) | −1.78986 | − | 47.8350i | −0.0578579 | − | 1.54629i | ||||
\(958\) | 13.1713 | + | 20.9619i | 0.425544 | + | 0.677249i | ||||
\(959\) | −18.1145 | + | 2.19016i | −0.584946 | + | 0.0707240i | ||||
\(960\) | 0.927538 | + | 6.72578i | 0.0299362 | + | 0.217073i | ||||
\(961\) | 18.8803 | − | 32.7017i | 0.609042 | − | 1.05489i | ||||
\(962\) | −4.20427 | + | 15.6905i | −0.135551 | + | 0.505883i | ||||
\(963\) | −78.0553 | − | 2.92063i | −2.51530 | − | 0.0941158i | ||||
\(964\) | 11.5308 | − | 7.86159i | 0.371383 | − | 0.253205i | ||||
\(965\) | 23.7579 | − | 24.9687i | 0.764792 | − | 0.803770i | ||||
\(966\) | −40.6389 | + | 18.1249i | −1.30754 | + | 0.583160i | ||||
\(967\) | 24.3621 | + | 2.74495i | 0.783431 | + | 0.0882715i | 0.494614 | − | 0.869113i | \(-0.335309\pi\) |
0.288817 | + | 0.957384i | \(0.406738\pi\) | |||||||
\(968\) | 0.452218 | + | 0.855638i | 0.0145348 | + | 0.0275012i | ||||
\(969\) | −4.29792 | + | 10.9509i | −0.138069 | + | 0.351794i | ||||
\(970\) | 15.1315 | + | 15.5163i | 0.485843 | + | 0.498199i | ||||
\(971\) | −16.7411 | + | 6.57039i | −0.537247 | + | 0.210854i | −0.618422 | − | 0.785846i | \(-0.712228\pi\) |
0.0811755 | + | 0.996700i | \(0.474133\pi\) | |||||||
\(972\) | −3.90838 | − | 1.36760i | −0.125361 | − | 0.0438658i | ||||
\(973\) | −8.62238 | + | 28.7810i | −0.276421 | + | 0.922678i | ||||
\(974\) | −13.9079 | + | 28.8801i | −0.445639 | + | 0.925379i | ||||
\(975\) | −5.90131 | + | 23.1586i | −0.188993 | + | 0.741669i | ||||
\(976\) | −1.92550 | − | 6.24231i | −0.0616337 | − | 0.199812i | ||||
\(977\) | 22.2781 | − | 4.21524i | 0.712738 | − | 0.134857i | 0.183116 | − | 0.983091i | \(-0.441381\pi\) |
0.529622 | + | 0.848234i | \(0.322334\pi\) | |||||||
\(978\) | 22.2582 | − | 30.1587i | 0.711738 | − | 0.964370i | ||||
\(979\) | −42.6008 | −1.36153 | ||||||||
\(980\) | −13.2840 | − | 8.27866i | −0.424341 | − | 0.264452i | ||||
\(981\) | 39.0413 | 1.24649 | ||||||||
\(982\) | 3.05108 | − | 4.13407i | 0.0973639 | − | 0.131923i | ||||
\(983\) | 10.7769 | − | 2.03909i | 0.343729 | − | 0.0650370i | −0.0111812 | − | 0.999937i | \(-0.503559\pi\) |
0.354910 | + | 0.934901i | \(0.384512\pi\) | |||||||
\(984\) | −5.15477 | − | 16.7113i | −0.164328 | − | 0.532738i | ||||
\(985\) | −24.6548 | − | 4.03332i | −0.785566 | − | 0.128512i | ||||
\(986\) | −6.94237 | + | 14.4160i | −0.221090 | + | 0.459098i | ||||
\(987\) | −40.1417 | + | 16.1320i | −1.27773 | + | 0.513486i | ||||
\(988\) | −1.79083 | − | 0.626637i | −0.0569738 | − | 0.0199360i | ||||
\(989\) | −57.8413 | + | 22.7010i | −1.83925 | + | 0.721851i | ||||
\(990\) | 0.553050 | − | 44.0442i | 0.0175771 | − | 1.39982i | ||||
\(991\) | −0.290367 | + | 0.739842i | −0.00922380 | + | 0.0235019i | −0.935411 | − | 0.353561i | \(-0.884971\pi\) |
0.926188 | + | 0.377063i | \(0.123066\pi\) | |||||||
\(992\) | −3.87469 | − | 7.33126i | −0.123021 | − | 0.232768i | ||||
\(993\) | 93.0244 | + | 10.4813i | 2.95204 | + | 0.332615i | ||||
\(994\) | −5.87484 | − | 0.172046i | −0.186339 | − | 0.00545698i | ||||
\(995\) | −0.558104 | − | 22.4598i | −0.0176931 | − | 0.712025i | ||||
\(996\) | 6.41378 | − | 4.37284i | 0.203228 | − | 0.138559i | ||||
\(997\) | −13.8502 | − | 0.518236i | −0.438639 | − | 0.0164127i | −0.182840 | − | 0.983143i | \(-0.558529\pi\) |
−0.255799 | + | 0.966730i | \(0.582338\pi\) | |||||||
\(998\) | −7.07587 | + | 26.4075i | −0.223983 | + | 0.835915i | ||||
\(999\) | 50.4331 | − | 87.3526i | 1.59563 | − | 2.76372i |
(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 | 490.2.w.a.103.13 | ✓ | 672 | |
5.2 | odd | 4 | inner | 490.2.w.a.397.2 | yes | 672 | |
49.10 | odd | 42 | inner | 490.2.w.a.353.2 | yes | 672 | |
245.157 | even | 84 | inner | 490.2.w.a.157.13 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.w.a.103.13 | ✓ | 672 | 1.1 | even | 1 | trivial | |
490.2.w.a.157.13 | yes | 672 | 245.157 | even | 84 | inner | |
490.2.w.a.353.2 | yes | 672 | 49.10 | odd | 42 | inner | |
490.2.w.a.397.2 | yes | 672 | 5.2 | odd | 4 | inner |