Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(5,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.bk (of order \(42\), degree \(12\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.10 | ||
Character | \(\chi\) | \(=\) | 882.101 |
Dual form | 882.2.bk.a.131.10 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.781831 | + | 0.623490i | −0.552838 | + | 0.440874i | ||||
\(3\) | −0.545044 | − | 1.64406i | −0.314681 | − | 0.949197i | ||||
\(4\) | 0.222521 | − | 0.974928i | 0.111260 | − | 0.487464i | ||||
\(5\) | 0.101590 | − | 1.35563i | 0.0454325 | − | 0.606254i | −0.927299 | − | 0.374321i | \(-0.877876\pi\) |
0.972732 | − | 0.231933i | \(-0.0745051\pi\) | |||||||
\(6\) | 1.45119 | + | 0.945547i | 0.592444 | + | 0.386018i | ||||
\(7\) | −1.00823 | − | 2.44611i | −0.381076 | − | 0.924544i | ||||
\(8\) | 0.433884 | + | 0.900969i | 0.153401 | + | 0.318541i | ||||
\(9\) | −2.40585 | + | 1.79217i | −0.801952 | + | 0.597389i | ||||
\(10\) | 0.765792 | + | 1.12321i | 0.242165 | + | 0.355191i | ||||
\(11\) | 0.243376 | + | 0.0955179i | 0.0733805 | + | 0.0287997i | 0.401747 | − | 0.915751i | \(-0.368403\pi\) |
−0.328367 | + | 0.944550i | \(0.606498\pi\) | |||||||
\(12\) | −1.72412 | + | 0.165541i | −0.497711 | + | 0.0477876i | ||||
\(13\) | −3.81721 | − | 1.49815i | −1.05870 | − | 0.415511i | −0.228833 | − | 0.973466i | \(-0.573491\pi\) |
−0.829871 | + | 0.557955i | \(0.811586\pi\) | |||||||
\(14\) | 2.31339 | + | 1.28382i | 0.618281 | + | 0.343117i | ||||
\(15\) | −2.28410 | + | 0.571855i | −0.589752 | + | 0.147652i | ||||
\(16\) | −0.900969 | − | 0.433884i | −0.225242 | − | 0.108471i | ||||
\(17\) | −2.12404 | − | 0.655181i | −0.515156 | − | 0.158905i | 0.0262669 | − | 0.999655i | \(-0.491638\pi\) |
−0.541423 | + | 0.840750i | \(0.682114\pi\) | |||||||
\(18\) | 0.763575 | − | 2.90120i | 0.179976 | − | 0.683819i | ||||
\(19\) | −4.04545 | + | 2.33564i | −0.928090 | + | 0.535833i | −0.886207 | − | 0.463289i | \(-0.846669\pi\) |
−0.0418831 | + | 0.999123i | \(0.513336\pi\) | |||||||
\(20\) | −1.29903 | − | 0.400698i | −0.290472 | − | 0.0895988i | ||||
\(21\) | −3.47202 | + | 2.99083i | −0.757657 | + | 0.652653i | ||||
\(22\) | −0.249833 | + | 0.0770633i | −0.0532646 | + | 0.0164299i | ||||
\(23\) | 4.58809 | − | 4.94478i | 0.956682 | − | 1.03106i | −0.0428066 | − | 0.999083i | \(-0.513630\pi\) |
0.999489 | − | 0.0319747i | \(-0.0101796\pi\) | |||||||
\(24\) | 1.24476 | − | 1.20440i | 0.254085 | − | 0.245847i | ||||
\(25\) | 3.11675 | + | 0.469775i | 0.623351 | + | 0.0939550i | ||||
\(26\) | 3.91850 | − | 1.20870i | 0.768480 | − | 0.237045i | ||||
\(27\) | 4.25772 | + | 2.97856i | 0.819399 | + | 0.573223i | ||||
\(28\) | −2.60914 | + | 0.438643i | −0.493080 | + | 0.0828957i | ||||
\(29\) | −1.30393 | + | 4.22723i | −0.242133 | + | 0.784977i | 0.750181 | + | 0.661233i | \(0.229966\pi\) |
−0.992314 | + | 0.123744i | \(0.960510\pi\) | |||||||
\(30\) | 1.42923 | − | 1.87121i | 0.260941 | − | 0.341634i | ||||
\(31\) | 0.0715588i | 0.0128523i | 0.999979 | + | 0.00642617i | \(0.00204553\pi\) | ||||
−0.999979 | + | 0.00642617i | \(0.997954\pi\) | |||||||
\(32\) | 0.974928 | − | 0.222521i | 0.172345 | − | 0.0393365i | ||||
\(33\) | 0.0243866 | − | 0.452185i | 0.00424516 | − | 0.0787153i | ||||
\(34\) | 2.06914 | − | 0.812078i | 0.354855 | − | 0.139270i | ||||
\(35\) | −3.41844 | + | 1.11829i | −0.577822 | + | 0.189025i | ||||
\(36\) | 1.21188 | + | 2.74433i | 0.201980 | + | 0.457388i | ||||
\(37\) | −2.27262 | + | 2.10869i | −0.373617 | + | 0.346666i | −0.844525 | − | 0.535516i | \(-0.820117\pi\) |
0.470908 | + | 0.882183i | \(0.343927\pi\) | |||||||
\(38\) | 1.70661 | − | 4.34838i | 0.276849 | − | 0.705400i | ||||
\(39\) | −0.382490 | + | 7.09227i | −0.0612475 | + | 1.13567i | ||||
\(40\) | 1.26545 | − | 0.496654i | 0.200086 | − | 0.0785280i | ||||
\(41\) | 7.67767 | + | 5.23455i | 1.19905 | + | 0.817499i | 0.987151 | − | 0.159792i | \(-0.0510823\pi\) |
0.211900 | + | 0.977291i | \(0.432035\pi\) | |||||||
\(42\) | 0.849782 | − | 4.50310i | 0.131124 | − | 0.694843i | ||||
\(43\) | −7.58131 | + | 5.16885i | −1.15614 | + | 0.788242i | −0.980559 | − | 0.196223i | \(-0.937132\pi\) |
−0.175579 | + | 0.984465i | \(0.556180\pi\) | |||||||
\(44\) | 0.147279 | − | 0.216019i | 0.0222032 | − | 0.0325661i | ||||
\(45\) | 2.18510 | + | 3.44350i | 0.325735 | + | 0.513327i | ||||
\(46\) | −0.504090 | + | 6.72661i | −0.0743240 | + | 0.991785i | ||||
\(47\) | −4.55308 | − | 5.70938i | −0.664135 | − | 0.832799i | 0.329652 | − | 0.944103i | \(-0.393069\pi\) |
−0.993786 | + | 0.111304i | \(0.964497\pi\) | |||||||
\(48\) | −0.222263 | + | 1.71773i | −0.0320808 | + | 0.247933i | ||||
\(49\) | −4.96693 | + | 4.93250i | −0.709562 | + | 0.704643i | ||||
\(50\) | −2.72968 | + | 1.57598i | −0.386035 | + | 0.222877i | ||||
\(51\) | 0.0805415 | + | 3.84915i | 0.0112781 | + | 0.538989i | ||||
\(52\) | −2.30999 | + | 3.38814i | −0.320338 | + | 0.469850i | ||||
\(53\) | 4.57356 | − | 4.92913i | 0.628227 | − | 0.677068i | −0.336086 | − | 0.941831i | \(-0.609103\pi\) |
0.964313 | + | 0.264763i | \(0.0852938\pi\) | |||||||
\(54\) | −5.18592 | + | 0.325919i | −0.705714 | + | 0.0443519i | ||||
\(55\) | 0.154211 | − | 0.320222i | 0.0207938 | − | 0.0431788i | ||||
\(56\) | 1.76642 | − | 1.96971i | 0.236047 | − | 0.263214i | ||||
\(57\) | 6.04488 | + | 5.37793i | 0.800664 | + | 0.712324i | ||||
\(58\) | −1.61618 | − | 4.11797i | −0.212215 | − | 0.540716i | ||||
\(59\) | −0.646025 | − | 0.311109i | −0.0841053 | − | 0.0405030i | 0.391358 | − | 0.920238i | \(-0.372005\pi\) |
−0.475464 | + | 0.879735i | \(0.657720\pi\) | |||||||
\(60\) | 0.0492579 | + | 2.35408i | 0.00635917 | + | 0.303911i | ||||
\(61\) | −12.6192 | + | 2.88025i | −1.61573 | + | 0.368779i | −0.932426 | − | 0.361360i | \(-0.882313\pi\) |
−0.683299 | + | 0.730139i | \(0.739455\pi\) | |||||||
\(62\) | −0.0446162 | − | 0.0559469i | −0.00566626 | − | 0.00710526i | ||||
\(63\) | 6.80950 | + | 4.07807i | 0.857917 | + | 0.513788i | ||||
\(64\) | −0.623490 | + | 0.781831i | −0.0779362 | + | 0.0977289i | ||||
\(65\) | −2.41872 | + | 5.02251i | −0.300005 | + | 0.622966i | ||||
\(66\) | 0.262866 | + | 0.368737i | 0.0323566 | + | 0.0453884i | ||||
\(67\) | 14.8240 | 1.81104 | 0.905522 | − | 0.424299i | \(-0.139480\pi\) | ||||
0.905522 | + | 0.424299i | \(0.139480\pi\) | |||||||
\(68\) | −1.11140 | + | 1.92500i | −0.134777 | + | 0.233440i | ||||
\(69\) | −10.6302 | − | 4.84796i | −1.27973 | − | 0.583626i | ||||
\(70\) | 1.97540 | − | 3.00567i | 0.236106 | − | 0.359247i | ||||
\(71\) | −3.23663 | − | 0.738740i | −0.384118 | − | 0.0876724i | 0.0261016 | − | 0.999659i | \(-0.491691\pi\) |
−0.410219 | + | 0.911987i | \(0.634548\pi\) | |||||||
\(72\) | −2.65855 | − | 1.39001i | −0.313313 | − | 0.163814i | ||||
\(73\) | −10.1249 | + | 3.97371i | −1.18502 | + | 0.465088i | −0.874288 | − | 0.485408i | \(-0.838671\pi\) |
−0.310737 | + | 0.950496i | \(0.600576\pi\) | |||||||
\(74\) | 0.462064 | − | 3.06560i | 0.0537139 | − | 0.356368i | ||||
\(75\) | −0.926430 | − | 5.38017i | −0.106975 | − | 0.621249i | ||||
\(76\) | 1.37689 | + | 4.46375i | 0.157940 | + | 0.512027i | ||||
\(77\) | −0.0117318 | − | 0.691628i | −0.00133696 | − | 0.0788183i | ||||
\(78\) | −4.12292 | − | 5.78344i | −0.466828 | − | 0.654846i | ||||
\(79\) | 9.31765 | 1.04832 | 0.524159 | − | 0.851620i | \(-0.324380\pi\) | ||||
0.524159 | + | 0.851620i | \(0.324380\pi\) | |||||||
\(80\) | −0.679713 | + | 1.17730i | −0.0759943 | + | 0.131626i | ||||
\(81\) | 2.57627 | − | 8.62339i | 0.286253 | − | 0.958154i | ||||
\(82\) | −9.26634 | + | 0.694416i | −1.02330 | + | 0.0766854i | ||||
\(83\) | 1.77087 | + | 4.51210i | 0.194378 | + | 0.495267i | 0.994520 | − | 0.104543i | \(-0.0333379\pi\) |
−0.800142 | + | 0.599810i | \(0.795243\pi\) | |||||||
\(84\) | 2.14325 | + | 4.05049i | 0.233848 | + | 0.441945i | ||||
\(85\) | −1.10396 | + | 2.81285i | −0.119741 | + | 0.305096i | ||||
\(86\) | 2.70458 | − | 8.76804i | 0.291642 | − | 0.945482i | ||||
\(87\) | 7.66051 | − | 0.160292i | 0.821293 | − | 0.0171851i | ||||
\(88\) | 0.0195381 | + | 0.260717i | 0.00208277 | + | 0.0277926i | ||||
\(89\) | −14.8306 | − | 2.23535i | −1.57204 | − | 0.236946i | −0.695587 | − | 0.718442i | \(-0.744856\pi\) |
−0.876449 | + | 0.481495i | \(0.840094\pi\) | |||||||
\(90\) | −3.85537 | − | 1.32985i | −0.406391 | − | 0.140179i | ||||
\(91\) | 0.184006 | + | 10.8478i | 0.0192891 | + | 1.13716i | ||||
\(92\) | −3.79986 | − | 5.57337i | −0.396163 | − | 0.581064i | ||||
\(93\) | 0.117647 | − | 0.0390027i | 0.0121994 | − | 0.00404439i | ||||
\(94\) | 7.11948 | + | 1.62498i | 0.734318 | + | 0.167603i | ||||
\(95\) | 2.75528 | + | 5.72139i | 0.282686 | + | 0.587003i | ||||
\(96\) | −0.897216 | − | 1.48155i | −0.0915717 | − | 0.151211i | ||||
\(97\) | −14.2836 | − | 8.24667i | −1.45028 | − | 0.837322i | −0.451787 | − | 0.892126i | \(-0.649213\pi\) |
−0.998497 | + | 0.0548035i | \(0.982547\pi\) | |||||||
\(98\) | 0.807940 | − | 6.95322i | 0.0816143 | − | 0.702381i | ||||
\(99\) | −0.756710 | + | 0.206368i | −0.0760522 | + | 0.0207407i | ||||
\(100\) | 1.15154 | − | 2.93408i | 0.115154 | − | 0.293408i | ||||
\(101\) | 0.950168 | + | 0.647814i | 0.0945453 | + | 0.0644599i | 0.609670 | − | 0.792655i | \(-0.291302\pi\) |
−0.515125 | + | 0.857115i | \(0.672254\pi\) | |||||||
\(102\) | −2.46288 | − | 2.95917i | −0.243861 | − | 0.293002i | ||||
\(103\) | −10.7944 | − | 0.808927i | −1.06360 | − | 0.0797059i | −0.468584 | − | 0.883419i | \(-0.655236\pi\) |
−0.595017 | + | 0.803713i | \(0.702855\pi\) | |||||||
\(104\) | −0.306444 | − | 4.08921i | −0.0300493 | − | 0.400980i | ||||
\(105\) | 3.70173 | + | 5.01060i | 0.361251 | + | 0.488984i | ||||
\(106\) | −0.502494 | + | 6.70532i | −0.0488066 | + | 0.651278i | ||||
\(107\) | −2.56472 | + | 17.0158i | −0.247941 | + | 1.64498i | 0.424933 | + | 0.905225i | \(0.360298\pi\) |
−0.672874 | + | 0.739757i | \(0.734940\pi\) | |||||||
\(108\) | 3.85131 | − | 3.48818i | 0.370592 | − | 0.335651i | ||||
\(109\) | −13.2456 | + | 1.99645i | −1.26870 | + | 0.191226i | −0.748681 | − | 0.662930i | \(-0.769313\pi\) |
−0.520017 | + | 0.854156i | \(0.674074\pi\) | |||||||
\(110\) | 0.0790884 | + | 0.346509i | 0.00754078 | + | 0.0330383i | ||||
\(111\) | 4.70548 | + | 2.58700i | 0.446625 | + | 0.245547i | ||||
\(112\) | −0.152942 | + | 2.64133i | −0.0144517 | + | 0.249582i | ||||
\(113\) | 0.419253 | − | 2.78156i | 0.0394400 | − | 0.261668i | −0.960417 | − | 0.278566i | \(-0.910141\pi\) |
0.999857 | + | 0.0168981i | \(0.00537909\pi\) | |||||||
\(114\) | −8.07916 | − | 0.435714i | −0.756683 | − | 0.0408083i | ||||
\(115\) | −6.23717 | − | 6.72207i | −0.581619 | − | 0.626836i | ||||
\(116\) | 3.83109 | + | 2.21188i | 0.355708 | + | 0.205368i | ||||
\(117\) | 11.8686 | − | 3.23676i | 1.09725 | − | 0.299239i | ||||
\(118\) | 0.699056 | − | 0.159555i | 0.0643533 | − | 0.0146882i | ||||
\(119\) | 0.538885 | + | 5.85622i | 0.0493995 | + | 0.536839i | ||||
\(120\) | −1.50626 | − | 1.80978i | −0.137502 | − | 0.165210i | ||||
\(121\) | −8.01346 | − | 7.43541i | −0.728497 | − | 0.675946i | ||||
\(122\) | 8.07029 | − | 10.1198i | 0.730650 | − | 0.916206i | ||||
\(123\) | 4.42124 | − | 15.4756i | 0.398649 | − | 1.39539i | ||||
\(124\) | 0.0697646 | + | 0.0159233i | 0.00626505 | + | 0.00142996i | ||||
\(125\) | 2.46598 | − | 10.8041i | 0.220564 | − | 0.966352i | ||||
\(126\) | −7.86652 | + | 1.05729i | −0.700805 | + | 0.0941912i | ||||
\(127\) | −1.56837 | − | 6.87146i | −0.139170 | − | 0.609743i | −0.995618 | − | 0.0935106i | \(-0.970191\pi\) |
0.856448 | − | 0.516233i | \(-0.172666\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 12.6300 | + | 9.64686i | 1.11201 | + | 0.849359i | ||||
\(130\) | −1.24046 | − | 5.43480i | −0.108795 | − | 0.476664i | ||||
\(131\) | 12.9713 | − | 8.84371i | 1.13331 | − | 0.772679i | 0.156691 | − | 0.987648i | \(-0.449917\pi\) |
0.976621 | + | 0.214969i | \(0.0689651\pi\) | |||||||
\(132\) | −0.435421 | − | 0.124396i | −0.0378986 | − | 0.0108273i | ||||
\(133\) | 9.79200 | + | 7.54076i | 0.849074 | + | 0.653867i | ||||
\(134\) | −11.5899 | + | 9.24263i | −1.00121 | + | 0.798442i | ||||
\(135\) | 4.47035 | − | 5.46929i | 0.384746 | − | 0.470721i | ||||
\(136\) | −0.331291 | − | 2.19797i | −0.0284079 | − | 0.188474i | ||||
\(137\) | 10.2190 | − | 0.765805i | 0.873064 | − | 0.0654271i | 0.369343 | − | 0.929293i | \(-0.379583\pi\) |
0.503722 | + | 0.863866i | \(0.331964\pi\) | |||||||
\(138\) | 11.3337 | − | 2.83754i | 0.964788 | − | 0.241548i | ||||
\(139\) | 0.700410 | − | 1.02731i | 0.0594080 | − | 0.0871355i | −0.795385 | − | 0.606104i | \(-0.792731\pi\) |
0.854793 | + | 0.518969i | \(0.173684\pi\) | |||||||
\(140\) | 0.329573 | + | 3.58157i | 0.0278540 | + | 0.302698i | ||||
\(141\) | −6.90493 | + | 10.5974i | −0.581500 | + | 0.892461i | ||||
\(142\) | 2.99110 | − | 1.44044i | 0.251007 | − | 0.120879i | ||||
\(143\) | −0.785916 | − | 0.729224i | −0.0657216 | − | 0.0609808i | ||||
\(144\) | 2.94519 | − | 0.570826i | 0.245433 | − | 0.0475688i | ||||
\(145\) | 5.59807 | + | 2.19708i | 0.464895 | + | 0.182458i | ||||
\(146\) | 5.43836 | − | 9.41952i | 0.450082 | − | 0.779565i | ||||
\(147\) | 10.8165 | + | 5.47750i | 0.892131 | + | 0.451776i | ||||
\(148\) | 1.55011 | + | 2.68487i | 0.127418 | + | 0.220695i | ||||
\(149\) | −1.69257 | − | 11.2295i | −0.138661 | − | 0.919953i | −0.944663 | − | 0.328041i | \(-0.893611\pi\) |
0.806003 | − | 0.591912i | \(-0.201627\pi\) | |||||||
\(150\) | 4.07879 | + | 3.62877i | 0.333032 | + | 0.296288i | ||||
\(151\) | −0.734191 | + | 0.226468i | −0.0597476 | + | 0.0184297i | −0.324485 | − | 0.945891i | \(-0.605191\pi\) |
0.264737 | + | 0.964321i | \(0.414715\pi\) | |||||||
\(152\) | −3.85960 | − | 2.63143i | −0.313055 | − | 0.213437i | ||||
\(153\) | 6.28433 | − | 2.23037i | 0.508058 | − | 0.180315i | ||||
\(154\) | 0.440395 | + | 0.533422i | 0.0354881 | + | 0.0429844i | ||||
\(155\) | 0.0970069 | + | 0.00726966i | 0.00779178 | + | 0.000583913i | ||||
\(156\) | 6.82934 | + | 1.95108i | 0.546785 | + | 0.156211i | ||||
\(157\) | −0.668483 | + | 1.38812i | −0.0533508 | + | 0.110784i | −0.925940 | − | 0.377671i | \(-0.876725\pi\) |
0.872589 | + | 0.488455i | \(0.162439\pi\) | |||||||
\(158\) | −7.28483 | + | 5.80946i | −0.579550 | + | 0.462176i | ||||
\(159\) | −10.5966 | − | 4.83261i | −0.840363 | − | 0.383251i | ||||
\(160\) | −0.202612 | − | 1.34424i | −0.0160179 | − | 0.106272i | ||||
\(161\) | −16.7213 | − | 6.23748i | −1.31783 | − | 0.491583i | ||||
\(162\) | 3.36238 | + | 8.34832i | 0.264174 | + | 0.655906i | ||||
\(163\) | −0.306598 | − | 4.09126i | −0.0240146 | − | 0.320452i | −0.996255 | − | 0.0864671i | \(-0.972442\pi\) |
0.972240 | − | 0.233985i | \(-0.0751768\pi\) | |||||||
\(164\) | 6.81175 | − | 6.32038i | 0.531908 | − | 0.493539i | ||||
\(165\) | −0.610516 | − | 0.0789966i | −0.0475286 | − | 0.00614988i | ||||
\(166\) | −4.19777 | − | 2.42358i | −0.325810 | − | 0.188107i | ||||
\(167\) | 8.76035 | − | 8.12841i | 0.677896 | − | 0.628996i | −0.264149 | − | 0.964482i | \(-0.585091\pi\) |
0.942045 | + | 0.335486i | \(0.108901\pi\) | |||||||
\(168\) | −4.20110 | − | 1.83051i | −0.324122 | − | 0.141227i | ||||
\(169\) | 2.79700 | + | 2.59523i | 0.215154 | + | 0.199633i | ||||
\(170\) | −0.890670 | − | 2.88748i | −0.0683113 | − | 0.221460i | ||||
\(171\) | 5.54690 | − | 12.8693i | 0.424182 | − | 0.984143i | ||||
\(172\) | 3.35225 | + | 8.54140i | 0.255607 | + | 0.651276i | ||||
\(173\) | −1.22847 | + | 5.38228i | −0.0933989 | + | 0.409207i | −0.999916 | − | 0.0129619i | \(-0.995874\pi\) |
0.906517 | + | 0.422169i | \(0.138731\pi\) | |||||||
\(174\) | −5.88929 | + | 4.90157i | −0.446466 | + | 0.371587i | ||||
\(175\) | −1.99329 | − | 8.09757i | −0.150679 | − | 0.612119i | ||||
\(176\) | −0.177830 | − | 0.191655i | −0.0134045 | − | 0.0144466i | ||||
\(177\) | −0.159370 | + | 1.23167i | −0.0119790 | + | 0.0925780i | ||||
\(178\) | 12.9887 | − | 7.49904i | 0.973545 | − | 0.562077i | ||||
\(179\) | −3.31092 | + | 10.7337i | −0.247470 | + | 0.802276i | 0.743564 | + | 0.668665i | \(0.233134\pi\) |
−0.991034 | + | 0.133612i | \(0.957342\pi\) | |||||||
\(180\) | 3.84340 | − | 1.36406i | 0.286470 | − | 0.101671i | ||||
\(181\) | 1.49181 | + | 1.18967i | 0.110885 | + | 0.0884278i | 0.677363 | − | 0.735649i | \(-0.263123\pi\) |
−0.566478 | + | 0.824077i | \(0.691694\pi\) | |||||||
\(182\) | −6.90736 | − | 8.36643i | −0.512008 | − | 0.620161i | ||||
\(183\) | 11.6133 | + | 19.1769i | 0.858482 | + | 1.41759i | ||||
\(184\) | 6.44579 | + | 1.98826i | 0.475190 | + | 0.146577i | ||||
\(185\) | 2.62771 | + | 3.29505i | 0.193193 | + | 0.242257i | ||||
\(186\) | −0.0676622 | + | 0.103845i | −0.00496123 | + | 0.00761429i | ||||
\(187\) | −0.454359 | − | 0.362339i | −0.0332260 | − | 0.0264968i | ||||
\(188\) | −6.57939 | + | 3.16847i | −0.479851 | + | 0.231084i | ||||
\(189\) | 2.99311 | − | 13.4179i | 0.217716 | − | 0.976012i | ||||
\(190\) | −5.72139 | − | 2.75528i | −0.415074 | − | 0.199889i | ||||
\(191\) | −4.75487 | − | 9.87360i | −0.344051 | − | 0.714428i | 0.655104 | − | 0.755539i | \(-0.272625\pi\) |
−0.999155 | + | 0.0411103i | \(0.986910\pi\) | |||||||
\(192\) | 1.62521 | + | 0.598921i | 0.117289 | + | 0.0432234i | ||||
\(193\) | −4.99847 | + | 2.40714i | −0.359798 | + | 0.173269i | −0.605045 | − | 0.796191i | \(-0.706845\pi\) |
0.245248 | + | 0.969460i | \(0.421131\pi\) | |||||||
\(194\) | 16.3091 | − | 2.45820i | 1.17093 | − | 0.176489i | ||||
\(195\) | 9.57561 | + | 1.23902i | 0.685724 | + | 0.0887280i | ||||
\(196\) | 3.70359 | + | 5.93999i | 0.264542 | + | 0.424285i | ||||
\(197\) | − | 13.2108i | − | 0.941230i | −0.882339 | − | 0.470615i | \(-0.844032\pi\) | ||
0.882339 | − | 0.470615i | \(-0.155968\pi\) | |||||||
\(198\) | 0.462952 | − | 0.633146i | 0.0329005 | − | 0.0449957i | ||||
\(199\) | −11.2766 | − | 0.845064i | −0.799377 | − | 0.0599050i | −0.331224 | − | 0.943552i | \(-0.607461\pi\) |
−0.468153 | + | 0.883647i | \(0.655081\pi\) | |||||||
\(200\) | 0.929056 | + | 3.01193i | 0.0656942 | + | 0.212975i | ||||
\(201\) | −8.07975 | − | 24.3716i | −0.569901 | − | 1.71904i | ||||
\(202\) | −1.14678 | + | 0.0859390i | −0.0806869 | + | 0.00604665i | ||||
\(203\) | 11.6549 | − | 1.07248i | 0.818017 | − | 0.0752732i | ||||
\(204\) | 3.77057 | + | 0.777995i | 0.263993 | + | 0.0544705i | ||||
\(205\) | 7.87606 | − | 9.87627i | 0.550088 | − | 0.689789i | ||||
\(206\) | 8.94374 | − | 6.09774i | 0.623140 | − | 0.424850i | ||||
\(207\) | −2.17639 | + | 20.1190i | −0.151270 | + | 1.39837i | ||||
\(208\) | 2.78917 | + | 3.00601i | 0.193394 | + | 0.208429i | ||||
\(209\) | −1.20766 | + | 0.182025i | −0.0835355 | + | 0.0125910i | ||||
\(210\) | −6.01818 | − | 1.60946i | −0.415294 | − | 0.111063i | ||||
\(211\) | 18.5721 | + | 2.79929i | 1.27856 | + | 0.192711i | 0.752985 | − | 0.658038i | \(-0.228613\pi\) |
0.525571 | + | 0.850750i | \(0.323852\pi\) | |||||||
\(212\) | −3.78783 | − | 5.55573i | −0.260149 | − | 0.381569i | ||||
\(213\) | 0.549574 | + | 5.72386i | 0.0376562 | + | 0.392192i | ||||
\(214\) | −8.60401 | − | 14.9026i | −0.588158 | − | 1.01872i | ||||
\(215\) | 6.23684 | + | 10.8025i | 0.425349 | + | 0.736726i | ||||
\(216\) | −0.836229 | + | 5.12842i | −0.0568982 | + | 0.348945i | ||||
\(217\) | 0.175041 | − | 0.0721479i | 0.0118825 | − | 0.00489772i | ||||
\(218\) | 9.11106 | − | 9.81939i | 0.617079 | − | 0.665053i | ||||
\(219\) | 12.0515 | + | 14.4800i | 0.814365 | + | 0.978468i | ||||
\(220\) | −0.277879 | − | 0.221601i | −0.0187346 | − | 0.0149403i | ||||
\(221\) | 7.12637 | + | 5.68309i | 0.479371 | + | 0.382286i | ||||
\(222\) | −5.29186 | + | 0.911224i | −0.355167 | + | 0.0611573i | ||||
\(223\) | 17.4353 | − | 18.7908i | 1.16755 | − | 1.25833i | 0.207587 | − | 0.978217i | \(-0.433439\pi\) |
0.959968 | − | 0.280108i | \(-0.0903704\pi\) | |||||||
\(224\) | −1.52727 | − | 2.16043i | −0.102045 | − | 0.144350i | ||||
\(225\) | −8.34037 | + | 4.45553i | −0.556025 | + | 0.297036i | ||||
\(226\) | 1.40649 | + | 2.43612i | 0.0935584 | + | 0.162048i | ||||
\(227\) | 3.59411 | + | 6.22518i | 0.238550 | + | 0.413180i | 0.960298 | − | 0.278975i | \(-0.0899947\pi\) |
−0.721749 | + | 0.692155i | \(0.756661\pi\) | |||||||
\(228\) | 6.58821 | − | 4.69662i | 0.436315 | − | 0.311041i | ||||
\(229\) | 11.7586 | + | 17.2467i | 0.777032 | + | 1.13970i | 0.986800 | + | 0.161945i | \(0.0517768\pi\) |
−0.209768 | + | 0.977751i | \(0.567271\pi\) | |||||||
\(230\) | 9.06755 | + | 1.36671i | 0.597897 | + | 0.0901184i | ||||
\(231\) | −1.13068 | + | 0.396255i | −0.0743935 | + | 0.0260717i | ||||
\(232\) | −4.37436 | + | 0.659328i | −0.287190 | + | 0.0432870i | ||||
\(233\) | −5.24892 | − | 5.65700i | −0.343869 | − | 0.370602i | 0.537311 | − | 0.843384i | \(-0.319440\pi\) |
−0.881179 | + | 0.472782i | \(0.843250\pi\) | |||||||
\(234\) | −7.26114 | + | 9.93055i | −0.474676 | + | 0.649180i | ||||
\(235\) | −8.20233 | + | 5.59225i | −0.535061 | + | 0.364798i | ||||
\(236\) | −0.447063 | + | 0.560599i | −0.0291013 | + | 0.0364919i | ||||
\(237\) | −5.07853 | − | 15.3188i | −0.329886 | − | 0.995061i | ||||
\(238\) | −4.07261 | − | 4.24259i | −0.263988 | − | 0.275006i | ||||
\(239\) | −26.2803 | + | 1.96944i | −1.69993 | + | 0.127392i | −0.889047 | − | 0.457815i | \(-0.848632\pi\) |
−0.810884 | + | 0.585208i | \(0.801013\pi\) | |||||||
\(240\) | 2.30602 | + | 0.475809i | 0.148853 | + | 0.0307134i | ||||
\(241\) | −2.68287 | − | 8.69764i | −0.172819 | − | 0.560264i | 0.827180 | − | 0.561937i | \(-0.189944\pi\) |
−0.999999 | + | 0.00167286i | \(0.999468\pi\) | |||||||
\(242\) | 10.9011 | + | 0.816923i | 0.700748 | + | 0.0525138i | ||||
\(243\) | −15.5815 | + | 0.464582i | −0.999556 | + | 0.0298029i | ||||
\(244\) | 12.9437i | 0.828638i | ||||||||
\(245\) | 6.18203 | + | 7.23440i | 0.394956 | + | 0.462189i | ||||
\(246\) | 6.19222 | + | 14.8559i | 0.394801 | + | 0.947178i | ||||
\(247\) | 18.9415 | − | 2.85497i | 1.20522 | − | 0.181657i | ||||
\(248\) | −0.0644722 | + | 0.0310482i | −0.00409399 | + | 0.00197156i | ||||
\(249\) | 6.45296 | − | 5.37070i | 0.408939 | − | 0.340355i | ||||
\(250\) | 4.80830 | + | 9.98453i | 0.304103 | + | 0.631477i | ||||
\(251\) | 20.8602 | + | 10.0457i | 1.31668 | + | 0.634081i | 0.954551 | − | 0.298046i | \(-0.0963350\pi\) |
0.362131 | + | 0.932127i | \(0.382049\pi\) | |||||||
\(252\) | 5.49108 | − | 5.73132i | 0.345906 | − | 0.361039i | ||||
\(253\) | 1.58894 | − | 0.765195i | 0.0998960 | − | 0.0481074i | ||||
\(254\) | 5.51048 | + | 4.39446i | 0.345758 | + | 0.275733i | ||||
\(255\) | 5.22619 | + | 0.281852i | 0.327277 | + | 0.0176502i | ||||
\(256\) | 0.623490 | + | 0.781831i | 0.0389681 | + | 0.0488645i | ||||
\(257\) | −15.1886 | − | 4.68505i | −0.947436 | − | 0.292245i | −0.217732 | − | 0.976009i | \(-0.569866\pi\) |
−0.729704 | + | 0.683763i | \(0.760342\pi\) | |||||||
\(258\) | −15.8893 | + | 0.332475i | −0.989223 | + | 0.0206990i | ||||
\(259\) | 7.44942 | + | 3.43305i | 0.462884 | + | 0.213319i | ||||
\(260\) | 4.35837 | + | 3.47569i | 0.270295 | + | 0.215553i | ||||
\(261\) | −4.43884 | − | 12.5070i | −0.274757 | − | 0.774161i | ||||
\(262\) | −4.62744 | + | 15.0018i | −0.285884 | + | 0.926814i | ||||
\(263\) | −1.95709 | + | 1.12993i | −0.120679 | + | 0.0696743i | −0.559125 | − | 0.829084i | \(-0.688863\pi\) |
0.438445 | + | 0.898758i | \(0.355529\pi\) | |||||||
\(264\) | 0.417986 | − | 0.174224i | 0.0257252 | − | 0.0107228i | ||||
\(265\) | −6.21743 | − | 6.70079i | −0.381933 | − | 0.411626i | ||||
\(266\) | −12.3573 | + | 0.209611i | −0.757673 | + | 0.0128521i | ||||
\(267\) | 4.40826 | + | 25.6007i | 0.269781 | + | 1.56674i | ||||
\(268\) | 3.29866 | − | 14.4524i | 0.201498 | − | 0.882819i | ||||
\(269\) | −0.399569 | − | 1.01809i | −0.0243622 | − | 0.0620738i | 0.918175 | − | 0.396175i | \(-0.129663\pi\) |
−0.942537 | + | 0.334101i | \(0.891567\pi\) | |||||||
\(270\) | −0.0850143 | + | 7.06328i | −0.00517381 | + | 0.429857i | ||||
\(271\) | −6.95637 | − | 22.5520i | −0.422569 | − | 1.36994i | −0.877572 | − | 0.479446i | \(-0.840838\pi\) |
0.455002 | − | 0.890490i | \(-0.349638\pi\) | |||||||
\(272\) | 1.62942 | + | 1.51189i | 0.0987984 | + | 0.0916715i | ||||
\(273\) | 17.7341 | − | 6.21505i | 1.07332 | − | 0.376152i | ||||
\(274\) | −7.51203 | + | 6.97015i | −0.453818 | + | 0.421082i | ||||
\(275\) | 0.713670 | + | 0.412037i | 0.0430359 | + | 0.0248468i | ||||
\(276\) | −7.09186 | + | 9.28492i | −0.426880 | + | 0.558887i | ||||
\(277\) | −4.49898 | + | 4.17444i | −0.270317 | + | 0.250818i | −0.803670 | − | 0.595075i | \(-0.797122\pi\) |
0.533353 | + | 0.845893i | \(0.320932\pi\) | |||||||
\(278\) | 0.0929165 | + | 1.23988i | 0.00557276 | + | 0.0743633i | ||||
\(279\) | −0.128245 | − | 0.172160i | −0.00767784 | − | 0.0103069i | ||||
\(280\) | −2.49075 | − | 2.59470i | −0.148851 | − | 0.155063i | ||||
\(281\) | 1.51990 | + | 10.0839i | 0.0906699 | + | 0.601555i | 0.987311 | + | 0.158798i | \(0.0507617\pi\) |
−0.896641 | + | 0.442758i | \(0.854000\pi\) | |||||||
\(282\) | −1.20888 | − | 12.5905i | −0.0719875 | − | 0.749755i | ||||
\(283\) | 5.08916 | − | 4.05847i | 0.302519 | − | 0.241251i | −0.460450 | − | 0.887685i | \(-0.652312\pi\) |
0.762969 | + | 0.646435i | \(0.223741\pi\) | |||||||
\(284\) | −1.44044 | + | 2.99110i | −0.0854742 | + | 0.177489i | ||||
\(285\) | 7.90456 | − | 7.64825i | 0.468226 | − | 0.453043i | ||||
\(286\) | 1.06912 | + | 0.0801193i | 0.0632183 | + | 0.00473755i | ||||
\(287\) | 5.06341 | − | 24.0581i | 0.298884 | − | 1.42010i | ||||
\(288\) | −1.94674 | + | 2.28259i | −0.114713 | + | 0.134503i | ||||
\(289\) | −9.96376 | − | 6.79318i | −0.586104 | − | 0.399599i | ||||
\(290\) | −5.74661 | + | 1.77259i | −0.337453 | + | 0.104090i | ||||
\(291\) | −5.77279 | + | 27.9779i | −0.338407 | + | 1.64010i | ||||
\(292\) | 1.62109 | + | 10.7552i | 0.0948672 | + | 0.629403i | ||||
\(293\) | −6.45563 | − | 11.1815i | −0.377142 | − | 0.653229i | 0.613503 | − | 0.789692i | \(-0.289760\pi\) |
−0.990645 | + | 0.136463i | \(0.956427\pi\) | |||||||
\(294\) | −11.8719 | + | 2.46151i | −0.692381 | + | 0.143558i | ||||
\(295\) | −0.487377 | + | 0.844162i | −0.0283762 | + | 0.0491490i | ||||
\(296\) | −2.88592 | − | 1.13264i | −0.167740 | − | 0.0658333i | ||||
\(297\) | 0.751720 | + | 1.13160i | 0.0436192 | + | 0.0656619i | ||||
\(298\) | 8.32476 | + | 7.72425i | 0.482240 | + | 0.447454i | ||||
\(299\) | −24.9217 | + | 12.0017i | −1.44126 | + | 0.694074i | ||||
\(300\) | −5.45143 | − | 0.293999i | −0.314738 | − | 0.0169740i | ||||
\(301\) | 20.2873 | + | 13.3333i | 1.16934 | + | 0.768520i | ||||
\(302\) | 0.432813 | − | 0.634820i | 0.0249056 | − | 0.0365298i | ||||
\(303\) | 0.547160 | − | 1.91522i | 0.0314335 | − | 0.110026i | ||||
\(304\) | 4.65822 | − | 0.349086i | 0.267167 | − | 0.0200214i | ||||
\(305\) | 2.62256 | + | 17.3995i | 0.150167 | + | 0.996295i | ||||
\(306\) | −3.52267 | + | 5.66199i | −0.201378 | + | 0.323675i | ||||
\(307\) | 17.7324 | − | 14.1411i | 1.01204 | − | 0.807077i | 0.0307360 | − | 0.999528i | \(-0.490215\pi\) |
0.981307 | + | 0.192450i | \(0.0616435\pi\) | |||||||
\(308\) | −0.676898 | − | 0.142464i | −0.0385699 | − | 0.00811765i | ||||
\(309\) | 4.55349 | + | 18.1875i | 0.259039 | + | 1.03465i | ||||
\(310\) | −0.0803756 | + | 0.0547991i | −0.00456503 | + | 0.00311238i | ||||
\(311\) | −0.642256 | − | 2.81391i | −0.0364190 | − | 0.159562i | 0.953449 | − | 0.301556i | \(-0.0975059\pi\) |
−0.989868 | + | 0.141994i | \(0.954649\pi\) | |||||||
\(312\) | −6.55587 | + | 2.73261i | −0.371153 | + | 0.154704i | ||||
\(313\) | − | 9.65857i | − | 0.545935i | −0.962023 | − | 0.272967i | \(-0.911995\pi\) | ||
0.962023 | − | 0.272967i | \(-0.0880051\pi\) | |||||||
\(314\) | −0.342837 | − | 1.50207i | −0.0193474 | − | 0.0847666i | ||||
\(315\) | 6.22011 | − | 8.81685i | 0.350464 | − | 0.496773i | ||||
\(316\) | 2.07337 | − | 9.08404i | 0.116636 | − | 0.511017i | ||||
\(317\) | 7.88878 | + | 1.80056i | 0.443078 | + | 0.101130i | 0.438239 | − | 0.898859i | \(-0.355602\pi\) |
0.00483919 | + | 0.999988i | \(0.498460\pi\) | |||||||
\(318\) | 11.2978 | − | 2.82856i | 0.633550 | − | 0.158618i | ||||
\(319\) | −0.721120 | + | 0.904256i | −0.0403750 | + | 0.0506286i | ||||
\(320\) | 0.996530 | + | 0.924645i | 0.0557077 | + | 0.0516892i | ||||
\(321\) | 29.3729 | − | 5.05781i | 1.63943 | − | 0.282300i | ||||
\(322\) | 16.9623 | − | 5.54893i | 0.945271 | − | 0.309230i | ||||
\(323\) | 10.1230 | − | 2.31050i | 0.563258 | − | 0.128560i | ||||
\(324\) | −7.83391 | − | 4.43056i | −0.435217 | − | 0.246142i | ||||
\(325\) | −11.1935 | − | 6.46258i | −0.620905 | − | 0.358480i | ||||
\(326\) | 2.79057 | + | 3.00752i | 0.154555 | + | 0.166571i | ||||
\(327\) | 10.5017 | + | 20.6884i | 0.580746 | + | 1.14407i | ||||
\(328\) | −1.38495 | + | 9.18853i | −0.0764710 | + | 0.507352i | ||||
\(329\) | −9.37522 | + | 16.8937i | −0.516873 | + | 0.931381i | ||||
\(330\) | 0.526574 | − | 0.318888i | 0.0289870 | − | 0.0175542i | ||||
\(331\) | −4.16454 | − | 18.2460i | −0.228904 | − | 1.00289i | −0.950536 | − | 0.310615i | \(-0.899465\pi\) |
0.721632 | − | 0.692277i | \(-0.243392\pi\) | |||||||
\(332\) | 4.79303 | − | 0.722433i | 0.263052 | − | 0.0396487i | ||||
\(333\) | 1.68848 | − | 9.14612i | 0.0925283 | − | 0.501204i | ||||
\(334\) | −1.78113 | + | 11.8170i | −0.0974592 | + | 0.646600i | ||||
\(335\) | 1.50598 | − | 20.0958i | 0.0822802 | − | 1.09795i | ||||
\(336\) | 4.42586 | − | 1.18819i | 0.241450 | − | 0.0648212i | ||||
\(337\) | −1.24804 | − | 16.6539i | −0.0679849 | − | 0.907196i | −0.922060 | − | 0.387046i | \(-0.873495\pi\) |
0.854075 | − | 0.520149i | \(-0.174124\pi\) | |||||||
\(338\) | −3.80488 | − | 0.285136i | −0.206958 | − | 0.0155094i | ||||
\(339\) | −4.80157 | + | 0.826797i | −0.260785 | + | 0.0449055i | ||||
\(340\) | 2.49667 | + | 1.70220i | 0.135401 | + | 0.0923148i | ||||
\(341\) | −0.00683514 | + | 0.0174156i | −0.000370144 | + | 0.000943110i | ||||
\(342\) | 3.68716 | + | 13.5201i | 0.199379 | + | 0.731083i | ||||
\(343\) | 17.0733 | + | 7.17657i | 0.921870 | + | 0.387498i | ||||
\(344\) | −7.94638 | − | 4.58784i | −0.428440 | − | 0.247360i | ||||
\(345\) | −7.65194 | + | 13.9181i | −0.411967 | + | 0.749325i | ||||
\(346\) | −2.39534 | − | 4.97397i | −0.128774 | − | 0.267403i | ||||
\(347\) | −32.5846 | − | 7.43722i | −1.74923 | − | 0.399251i | −0.776305 | − | 0.630358i | \(-0.782908\pi\) |
−0.972928 | + | 0.231107i | \(0.925765\pi\) | |||||||
\(348\) | 1.54835 | − | 7.50411i | 0.0830003 | − | 0.402263i | ||||
\(349\) | −12.6480 | − | 18.5511i | −0.677029 | − | 0.993020i | −0.998930 | − | 0.0462464i | \(-0.985274\pi\) |
0.321901 | − | 0.946773i | \(-0.395678\pi\) | |||||||
\(350\) | 6.60717 | + | 5.08814i | 0.353168 | + | 0.271973i | ||||
\(351\) | −11.7903 | − | 17.7485i | −0.629321 | − | 0.947343i | ||||
\(352\) | 0.258528 | + | 0.0389669i | 0.0137796 | + | 0.00207694i | ||||
\(353\) | −1.79802 | − | 23.9929i | −0.0956991 | − | 1.27702i | −0.813828 | − | 0.581105i | \(-0.802620\pi\) |
0.718129 | − | 0.695910i | \(-0.244999\pi\) | |||||||
\(354\) | −0.643334 | − | 1.06232i | −0.0341928 | − | 0.0564619i | ||||
\(355\) | −1.33027 | + | 4.31261i | −0.0706031 | + | 0.228890i | ||||
\(356\) | −5.47941 | + | 13.9613i | −0.290408 | + | 0.739948i | ||||
\(357\) | 9.33426 | − | 4.07786i | 0.494021 | − | 0.215823i | ||||
\(358\) | −4.10379 | − | 10.4563i | −0.216892 | − | 0.552632i | ||||
\(359\) | −31.2427 | + | 2.34131i | −1.64892 | + | 0.123570i | −0.866500 | − | 0.499176i | \(-0.833636\pi\) |
−0.782424 | + | 0.622746i | \(0.786017\pi\) | |||||||
\(360\) | −2.15441 | + | 3.46278i | −0.113548 | + | 0.182505i | ||||
\(361\) | 1.41045 | − | 2.44297i | 0.0742341 | − | 0.128577i | ||||
\(362\) | −1.90809 | −0.100287 | ||||||||
\(363\) | −7.85655 | + | 17.2272i | −0.412362 | + | 0.904195i | ||||
\(364\) | 10.6168 | + | 2.23447i | 0.556470 | + | 0.117118i | ||||
\(365\) | 4.35828 | + | 14.1292i | 0.228123 | + | 0.739556i | ||||
\(366\) | −21.0362 | − | 7.75228i | −1.09958 | − | 0.405218i | ||||
\(367\) | −2.32700 | + | 15.4386i | −0.121468 | + | 0.805889i | 0.842273 | + | 0.539051i | \(0.181217\pi\) |
−0.963741 | + | 0.266838i | \(0.914021\pi\) | |||||||
\(368\) | −6.27918 | + | 2.46440i | −0.327325 | + | 0.128466i | ||||
\(369\) | −27.8526 | + | 1.16611i | −1.44995 | + | 0.0607053i | ||||
\(370\) | −4.10886 | − | 0.937820i | −0.213609 | − | 0.0487550i | ||||
\(371\) | −16.6684 | − | 6.21774i | −0.865381 | − | 0.322809i | ||||
\(372\) | −0.0118459 | − | 0.123376i | −0.000614182 | − | 0.00639675i | ||||
\(373\) | −0.457877 | + | 0.793066i | −0.0237080 | + | 0.0410634i | −0.877636 | − | 0.479328i | \(-0.840881\pi\) |
0.853928 | + | 0.520391i | \(0.174214\pi\) | |||||||
\(374\) | 0.581147 | 0.0300504 | ||||||||
\(375\) | −19.1067 | + | 1.83452i | −0.986666 | + | 0.0947344i | ||||
\(376\) | 3.16847 | − | 6.57939i | 0.163401 | − | 0.339306i | ||||
\(377\) | 11.3104 | − | 14.1828i | 0.582514 | − | 0.730449i | ||||
\(378\) | 6.02585 | + | 12.3567i | 0.309936 | + | 0.635562i | ||||
\(379\) | −9.91685 | − | 12.4353i | −0.509394 | − | 0.638760i | 0.458925 | − | 0.888475i | \(-0.348235\pi\) |
−0.968319 | + | 0.249715i | \(0.919663\pi\) | |||||||
\(380\) | 6.19105 | − | 1.41307i | 0.317594 | − | 0.0724888i | ||||
\(381\) | −10.4423 | + | 6.32373i | −0.534973 | + | 0.323975i | ||||
\(382\) | 9.87360 | + | 4.75487i | 0.505177 | + | 0.243280i | ||||
\(383\) | −5.00770 | − | 12.7594i | −0.255881 | − | 0.651975i | 0.743987 | − | 0.668194i | \(-0.232932\pi\) |
−0.999868 | + | 0.0162189i | \(0.994837\pi\) | |||||||
\(384\) | −1.64406 | + | 0.545044i | −0.0838980 | + | 0.0278141i | ||||
\(385\) | −0.938781 | − | 0.0543587i | −0.0478447 | − | 0.00277038i | ||||
\(386\) | 2.40714 | − | 4.99847i | 0.122520 | − | 0.254415i | ||||
\(387\) | 8.97608 | − | 26.0225i | 0.456280 | − | 1.32280i | ||||
\(388\) | −11.2183 | + | 12.0905i | −0.569524 | + | 0.613801i | ||||
\(389\) | 6.16023 | − | 9.03540i | 0.312336 | − | 0.458113i | −0.637686 | − | 0.770297i | \(-0.720108\pi\) |
0.950022 | + | 0.312184i | \(0.101060\pi\) | |||||||
\(390\) | −8.25903 | + | 5.00159i | −0.418212 | + | 0.253265i | ||||
\(391\) | −12.9850 | + | 7.49690i | −0.656681 | + | 0.379135i | ||||
\(392\) | −6.59910 | − | 2.33492i | −0.333305 | − | 0.117931i | ||||
\(393\) | −21.6095 | − | 16.5054i | −1.09006 | − | 0.832589i | ||||
\(394\) | 8.23680 | + | 10.3286i | 0.414964 | + | 0.520348i | ||||
\(395\) | 0.946581 | − | 12.6312i | 0.0476277 | − | 0.635547i | ||||
\(396\) | 0.0328097 | + | 0.783659i | 0.00164875 | + | 0.0393803i | ||||
\(397\) | −19.1143 | + | 28.0355i | −0.959318 | + | 1.40706i | −0.0463975 | + | 0.998923i | \(0.514774\pi\) |
−0.912920 | + | 0.408138i | \(0.866178\pi\) | |||||||
\(398\) | 9.34329 | − | 6.37015i | 0.468337 | − | 0.319307i | ||||
\(399\) | 7.06037 | − | 20.2087i | 0.353461 | − | 1.01170i | ||||
\(400\) | −2.60427 | − | 1.77556i | −0.130214 | − | 0.0887781i | ||||
\(401\) | −19.7631 | + | 7.75645i | −0.986923 | + | 0.387339i | −0.803246 | − | 0.595648i | \(-0.796895\pi\) |
−0.183678 | + | 0.982987i | \(0.558800\pi\) | |||||||
\(402\) | 21.5124 | + | 14.0168i | 1.07294 | + | 0.699096i | ||||
\(403\) | 0.107205 | − | 0.273155i | 0.00534028 | − | 0.0136068i | ||||
\(404\) | 0.843004 | − | 0.782193i | 0.0419410 | − | 0.0389156i | ||||
\(405\) | −11.4284 | − | 4.36851i | −0.567880 | − | 0.217073i | ||||
\(406\) | −8.44352 | + | 8.10523i | −0.419045 | + | 0.402256i | ||||
\(407\) | −0.754518 | + | 0.296127i | −0.0374001 | + | 0.0146785i | ||||
\(408\) | −3.43302 | + | 1.74265i | −0.169960 | + | 0.0862740i | ||||
\(409\) | −6.04994 | + | 1.38086i | −0.299150 | + | 0.0682791i | −0.369462 | − | 0.929246i | \(-0.620458\pi\) |
0.0703114 | + | 0.997525i | \(0.477601\pi\) | |||||||
\(410\) | 12.6322i | 0.623861i | ||||||||
\(411\) | −6.82881 | − | 16.3832i | −0.336840 | − | 0.808122i | ||||
\(412\) | −3.19062 | + | 10.3437i | −0.157191 | + | 0.509599i | ||||
\(413\) | −0.109665 | + | 1.89392i | −0.00539624 | + | 0.0931937i | ||||
\(414\) | −10.8424 | − | 17.0867i | −0.532877 | − | 0.839764i | ||||
\(415\) | 6.29662 | − | 1.94225i | 0.309089 | − | 0.0953413i | ||||
\(416\) | −4.05488 | − | 0.611174i | −0.198807 | − | 0.0299653i | ||||
\(417\) | −2.07072 | − | 0.591584i | −0.101403 | − | 0.0289700i | ||||
\(418\) | 0.830695 | − | 0.895276i | 0.0406306 | − | 0.0437894i | ||||
\(419\) | 15.5105 | − | 4.78436i | 0.757739 | − | 0.233731i | 0.108272 | − | 0.994121i | \(-0.465468\pi\) |
0.649467 | + | 0.760390i | \(0.274992\pi\) | |||||||
\(420\) | 5.70868 | − | 2.49395i | 0.278555 | − | 0.121692i | ||||
\(421\) | −19.3756 | − | 5.97659i | −0.944310 | − | 0.291281i | −0.215895 | − | 0.976417i | \(-0.569267\pi\) |
−0.728416 | + | 0.685135i | \(0.759743\pi\) | |||||||
\(422\) | −16.2656 | + | 9.39094i | −0.791796 | + | 0.457144i | ||||
\(423\) | 21.1862 | + | 5.57606i | 1.03011 | + | 0.271117i | ||||
\(424\) | 6.42539 | + | 1.98197i | 0.312044 | + | 0.0962530i | ||||
\(425\) | −6.31233 | − | 3.03986i | −0.306193 | − | 0.147455i | ||||
\(426\) | −3.99844 | − | 4.13244i | −0.193725 | − | 0.200217i | ||||
\(427\) | 19.7685 | + | 27.9641i | 0.956667 | + | 1.35328i | ||||
\(428\) | 16.0185 | + | 6.28680i | 0.774283 | + | 0.303884i | ||||
\(429\) | −0.770528 | + | 1.68955i | −0.0372014 | + | 0.0815723i | ||||
\(430\) | −11.6114 | − | 4.55714i | −0.559952 | − | 0.219765i | ||||
\(431\) | 10.6877 | + | 15.6759i | 0.514806 | + | 0.755082i | 0.992341 | − | 0.123531i | \(-0.0394218\pi\) |
−0.477535 | + | 0.878613i | \(0.658469\pi\) | |||||||
\(432\) | −2.54373 | − | 4.53094i | −0.122385 | − | 0.217995i | ||||
\(433\) | −2.47401 | − | 5.13734i | −0.118893 | − | 0.246885i | 0.833026 | − | 0.553234i | \(-0.186607\pi\) |
−0.951919 | + | 0.306350i | \(0.900892\pi\) | |||||||
\(434\) | −0.0918689 | + | 0.165544i | −0.00440985 | + | 0.00794635i | ||||
\(435\) | 0.560936 | − | 10.4011i | 0.0268948 | − | 0.498693i | ||||
\(436\) | −1.00103 | + | 13.3578i | −0.0479404 | + | 0.639721i | ||||
\(437\) | −7.01164 | + | 30.7200i | −0.335412 | + | 1.46954i | ||||
\(438\) | −18.4504 | − | 3.80693i | −0.881593 | − | 0.181902i | ||||
\(439\) | 10.8652 | − | 8.66470i | 0.518567 | − | 0.413543i | −0.328921 | − | 0.944357i | \(-0.606685\pi\) |
0.847488 | + | 0.530814i | \(0.178114\pi\) | |||||||
\(440\) | 0.355420 | 0.0169440 | ||||||||
\(441\) | 3.10985 | − | 20.7685i | 0.148088 | − | 0.988974i | ||||
\(442\) | −9.11497 | −0.433555 | ||||||||
\(443\) | −20.4106 | + | 16.2769i | −0.969739 | + | 0.773341i | −0.973976 | − | 0.226650i | \(-0.927223\pi\) |
0.00423744 | + | 0.999991i | \(0.498651\pi\) | |||||||
\(444\) | 3.56921 | − | 4.01185i | 0.169387 | − | 0.190394i | ||||
\(445\) | −4.53693 | + | 19.8776i | −0.215071 | + | 0.942288i | ||||
\(446\) | −1.91561 | + | 25.5620i | −0.0907065 | + | 1.21039i | ||||
\(447\) | −17.5394 | + | 8.90323i | −0.829583 | + | 0.421108i | ||||
\(448\) | 2.54107 | + | 0.736858i | 0.120054 | + | 0.0348133i | ||||
\(449\) | 13.2619 | + | 27.5385i | 0.625866 | + | 1.29962i | 0.937024 | + | 0.349266i | \(0.113569\pi\) |
−0.311157 | + | 0.950358i | \(0.600717\pi\) | |||||||
\(450\) | 3.74279 | − | 8.68361i | 0.176437 | − | 0.409349i | ||||
\(451\) | 1.36856 | + | 2.00732i | 0.0644432 | + | 0.0945208i | ||||
\(452\) | −2.61853 | − | 1.02770i | −0.123165 | − | 0.0483389i | ||||
\(453\) | 0.772493 | + | 1.08362i | 0.0362949 | + | 0.0509128i | ||||
\(454\) | −6.69133 | − | 2.62615i | −0.314040 | − | 0.123251i | ||||
\(455\) | 14.7243 | + | 0.852586i | 0.690284 | + | 0.0399699i | ||||
\(456\) | −2.22257 | + | 7.77964i | −0.104081 | + | 0.364315i | ||||
\(457\) | 12.4838 | + | 6.01187i | 0.583966 | + | 0.281223i | 0.702450 | − | 0.711733i | \(-0.252089\pi\) |
−0.118484 | + | 0.992956i | \(0.537804\pi\) | |||||||
\(458\) | −19.9464 | − | 6.15266i | −0.932035 | − | 0.287495i | ||||
\(459\) | −7.09210 | − | 9.11616i | −0.331031 | − | 0.425506i | ||||
\(460\) | −7.94143 | + | 4.58499i | −0.370271 | + | 0.213776i | ||||
\(461\) | 21.2125 | + | 6.54318i | 0.987964 | + | 0.304746i | 0.746297 | − | 0.665613i | \(-0.231830\pi\) |
0.241666 | + | 0.970359i | \(0.422306\pi\) | |||||||
\(462\) | 0.636942 | − | 1.01477i | 0.0296332 | − | 0.0472116i | ||||
\(463\) | 17.2538 | − | 5.32210i | 0.801854 | − | 0.247339i | 0.133370 | − | 0.991066i | \(-0.457420\pi\) |
0.668483 | + | 0.743727i | \(0.266944\pi\) | |||||||
\(464\) | 3.00892 | − | 3.24285i | 0.139686 | − | 0.150545i | ||||
\(465\) | −0.0409212 | − | 0.163447i | −0.00189768 | − | 0.00757968i | ||||
\(466\) | 7.63085 | + | 1.15017i | 0.353492 | + | 0.0532804i | ||||
\(467\) | −7.10264 | + | 2.19087i | −0.328671 | + | 0.101382i | −0.454699 | − | 0.890645i | \(-0.650253\pi\) |
0.126028 | + | 0.992027i | \(0.459777\pi\) | |||||||
\(468\) | −0.514602 | − | 12.2913i | −0.0237875 | − | 0.568164i | ||||
\(469\) | −14.9461 | − | 36.2613i | −0.690146 | − | 1.67439i | ||||
\(470\) | 2.92613 | − | 9.48627i | 0.134972 | − | 0.437569i | ||||
\(471\) | 2.64650 | + | 0.342439i | 0.121944 | + | 0.0157788i | ||||
\(472\) | − | 0.717034i | − | 0.0330041i | ||||||
\(473\) | −2.33882 | + | 0.533821i | −0.107539 | + | 0.0245451i | ||||
\(474\) | 13.5216 | + | 8.81028i | 0.621070 | + | 0.404670i | ||||
\(475\) | −13.7059 | + | 5.37917i | −0.628870 | + | 0.246813i | ||||
\(476\) | 5.82931 | + | 0.777759i | 0.267186 | + | 0.0356485i | ||||
\(477\) | −2.16950 | + | 20.0554i | −0.0993348 | + | 0.918272i | ||||
\(478\) | 19.3188 | − | 17.9253i | 0.883623 | − | 0.819882i | ||||
\(479\) | −9.38412 | + | 23.9103i | −0.428771 | + | 1.09249i | 0.539366 | + | 0.842071i | \(0.318664\pi\) |
−0.968137 | + | 0.250420i | \(0.919431\pi\) | |||||||
\(480\) | −2.09958 | + | 1.06578i | −0.0958323 | + | 0.0486459i | ||||
\(481\) | 11.8342 | − | 4.64459i | 0.539594 | − | 0.211775i | ||||
\(482\) | 7.52044 | + | 5.12735i | 0.342547 | + | 0.233544i | ||||
\(483\) | −1.14092 | + | 30.8906i | −0.0519137 | + | 1.40557i | ||||
\(484\) | −9.03215 | + | 6.15801i | −0.410552 | + | 0.279910i | ||||
\(485\) | −12.6305 | + | 18.5255i | −0.573520 | + | 0.841199i | ||||
\(486\) | 11.8925 | − | 10.0782i | 0.539453 | − | 0.457154i | ||||
\(487\) | 0.524642 | − | 7.00086i | 0.0237738 | − | 0.317239i | −0.972621 | − | 0.232398i | \(-0.925343\pi\) |
0.996395 | − | 0.0848409i | \(-0.0270382\pi\) | |||||||
\(488\) | −8.07029 | − | 10.1198i | −0.365325 | − | 0.458103i | ||||
\(489\) | −6.55916 | + | 2.73398i | −0.296616 | + | 0.123635i | ||||
\(490\) | −9.34388 | − | 1.80164i | −0.422114 | − | 0.0813899i | ||||
\(491\) | 10.7222 | − | 6.19047i | 0.483887 | − | 0.279372i | −0.238148 | − | 0.971229i | \(-0.576540\pi\) |
0.722035 | + | 0.691857i | \(0.243207\pi\) | |||||||
\(492\) | −14.1038 | − | 7.75403i | −0.635847 | − | 0.349579i | ||||
\(493\) | 5.53920 | − | 8.12451i | 0.249473 | − | 0.365910i | ||||
\(494\) | −13.0290 | + | 14.0419i | −0.586202 | + | 0.631776i | ||||
\(495\) | 0.202883 | + | 1.04678i | 0.00911891 | + | 0.0470493i | ||||
\(496\) | 0.0310482 | − | 0.0644722i | 0.00139410 | − | 0.00289489i | ||||
\(497\) | 1.45624 | + | 8.66199i | 0.0653212 | + | 0.388543i | ||||
\(498\) | −1.69654 | + | 8.22234i | −0.0760240 | + | 0.368452i | ||||
\(499\) | −13.9038 | − | 35.4262i | −0.622418 | − | 1.58589i | −0.798816 | − | 0.601576i | \(-0.794540\pi\) |
0.176398 | − | 0.984319i | \(-0.443556\pi\) | |||||||
\(500\) | −9.98453 | − | 4.80830i | −0.446522 | − | 0.215034i | ||||
\(501\) | −18.1384 | − | 9.97218i | −0.810362 | − | 0.445524i | ||||
\(502\) | −22.5726 | + | 5.15204i | −1.00746 | + | 0.229947i | ||||
\(503\) | 4.23205 | + | 5.30683i | 0.188698 | + | 0.236620i | 0.867177 | − | 0.498000i | \(-0.165932\pi\) |
−0.678479 | + | 0.734620i | \(0.737361\pi\) | |||||||
\(504\) | −0.719680 | + | 7.90456i | −0.0320571 | + | 0.352097i | ||||
\(505\) | 0.974721 | − | 1.22226i | 0.0433745 | − | 0.0543899i | ||||
\(506\) | −0.765195 | + | 1.58894i | −0.0340170 | + | 0.0706371i | ||||
\(507\) | 2.74223 | − | 6.01294i | 0.121787 | − | 0.267044i | ||||
\(508\) | −7.04817 | −0.312712 | ||||||||
\(509\) | 2.56856 | − | 4.44887i | 0.113849 | − | 0.197193i | −0.803470 | − | 0.595345i | \(-0.797015\pi\) |
0.917319 | + | 0.398153i | \(0.130349\pi\) | |||||||
\(510\) | −4.26173 | + | 3.03812i | −0.188713 | + | 0.134530i | ||||
\(511\) | 19.9284 | + | 20.7601i | 0.881579 | + | 0.918373i | ||||
\(512\) | −0.974928 | − | 0.222521i | −0.0430861 | − | 0.00983413i | ||||
\(513\) | −24.1812 | − | 2.10508i | −1.06763 | − | 0.0929416i | ||||
\(514\) | 14.7960 | − | 5.80699i | 0.652622 | − | 0.256135i | ||||
\(515\) | −2.19320 | + | 14.5510i | −0.0966441 | + | 0.641192i | ||||
\(516\) | 12.2154 | − | 10.1667i | 0.537755 | − | 0.447566i | ||||
\(517\) | −0.562760 | − | 1.82442i | −0.0247502 | − | 0.0802381i | ||||
\(518\) | −7.96466 | + | 1.96057i | −0.349947 | + | 0.0861427i | ||||
\(519\) | 9.51835 | − | 0.913902i | 0.417809 | − | 0.0401158i | ||||
\(520\) | −5.57457 | −0.244461 | ||||||||
\(521\) | 9.74630 | − | 16.8811i | 0.426993 | − | 0.739574i | −0.569611 | − | 0.821914i | \(-0.692906\pi\) |
0.996604 | + | 0.0823407i | \(0.0262396\pi\) | |||||||
\(522\) | 11.2684 | + | 7.01076i | 0.493204 | + | 0.306853i | ||||
\(523\) | −28.8636 | + | 2.16302i | −1.26212 | + | 0.0945825i | −0.688921 | − | 0.724837i | \(-0.741915\pi\) |
−0.573195 | + | 0.819419i | \(0.694296\pi\) | |||||||
\(524\) | −5.73559 | − | 14.6140i | −0.250560 | − | 0.638417i | ||||
\(525\) | −12.2265 | + | 7.69062i | −0.533606 | + | 0.335646i | ||||
\(526\) | 0.825617 | − | 2.10364i | 0.0359986 | − | 0.0917230i | ||||
\(527\) | 0.0468839 | − | 0.151994i | 0.00204229 | − | 0.00662096i | ||||
\(528\) | −0.218167 | + | 0.396824i | −0.00949451 | + | 0.0172695i | ||||
\(529\) | −1.68153 | − | 22.4385i | −0.0731101 | − | 0.975586i | ||||
\(530\) | 9.03885 | + | 1.36239i | 0.392623 | + | 0.0591784i | ||||
\(531\) | 2.11180 | − | 0.409301i | 0.0916444 | − | 0.0177622i | ||||
\(532\) | 9.53062 | − | 7.86852i | 0.413205 | − | 0.341144i | ||||
\(533\) | −21.4652 | − | 31.4837i | −0.929761 | − | 1.36371i | ||||
\(534\) | −19.4083 | − | 17.2669i | −0.839878 | − | 0.747212i | ||||
\(535\) | 22.8065 | + | 5.20544i | 0.986012 | + | 0.225051i | ||||
\(536\) | 6.43191 | + | 13.3560i | 0.277816 | + | 0.576891i | ||||
\(537\) | 19.4515 | − | 0.407012i | 0.839393 | − | 0.0175639i | ||||
\(538\) | 0.947163 | + | 0.546845i | 0.0408351 | + | 0.0235761i | ||||
\(539\) | −1.67997 | + | 0.726019i | −0.0723615 | + | 0.0312719i | ||||
\(540\) | −4.33741 | − | 5.57530i | −0.186653 | − | 0.239923i | ||||
\(541\) | −8.71297 | + | 22.2003i | −0.374600 | + | 0.954465i | 0.611934 | + | 0.790909i | \(0.290392\pi\) |
−0.986534 | + | 0.163556i | \(0.947703\pi\) | |||||||
\(542\) | 19.4996 | + | 13.2946i | 0.837582 | + | 0.571053i | ||||
\(543\) | 1.14280 | − | 3.10104i | 0.0490421 | − | 0.133078i | ||||
\(544\) | −2.21658 | − | 0.166110i | −0.0950351 | − | 0.00712190i | ||||
\(545\) | 1.36082 | + | 18.1589i | 0.0582912 | + | 0.777842i | ||||
\(546\) | −9.99009 | + | 15.9162i | −0.427536 | + | 0.681149i | ||||
\(547\) | −0.964819 | + | 12.8746i | −0.0412527 | + | 0.550479i | 0.937840 | + | 0.347067i | \(0.112822\pi\) |
−0.979093 | + | 0.203412i | \(0.934797\pi\) | |||||||
\(548\) | 1.52733 | − | 10.1332i | 0.0652442 | − | 0.432867i | ||||
\(549\) | 25.1981 | − | 29.5452i | 1.07543 | − | 1.26096i | ||||
\(550\) | −0.814871 | + | 0.122822i | −0.0347462 | + | 0.00523715i | ||||
\(551\) | −4.59832 | − | 20.1466i | −0.195895 | − | 0.858272i | ||||
\(552\) | −0.244418 | − | 11.6809i | −0.0104031 | − | 0.497174i | ||||
\(553\) | −9.39436 | − | 22.7920i | −0.399489 | − | 0.969216i | ||||
\(554\) | 0.914721 | − | 6.06878i | 0.0388628 | − | 0.257838i | ||||
\(555\) | 3.98503 | − | 6.11606i | 0.169155 | − | 0.259612i | ||||
\(556\) | −0.845700 | − | 0.911448i | −0.0358657 | − | 0.0386540i | ||||
\(557\) | 37.5416 | + | 21.6747i | 1.59069 | + | 0.918385i | 0.993189 | + | 0.116517i | \(0.0371729\pi\) |
0.597501 | + | 0.801868i | \(0.296160\pi\) | |||||||
\(558\) | 0.207606 | + | 0.0546405i | 0.00878867 | + | 0.00231312i | ||||
\(559\) | 36.6831 | − | 8.37269i | 1.55153 | − | 0.354127i | ||||
\(560\) | 3.56511 | + | 0.475665i | 0.150654 | + | 0.0201005i | ||||
\(561\) | −0.348061 | + | 0.944483i | −0.0146951 | + | 0.0398761i | ||||
\(562\) | −7.47552 | − | 6.93627i | −0.315336 | − | 0.292589i | ||||
\(563\) | 0.455169 | − | 0.570764i | 0.0191831 | − | 0.0240548i | −0.772147 | − | 0.635443i | \(-0.780817\pi\) |
0.791331 | + | 0.611389i | \(0.209389\pi\) | |||||||
\(564\) | 8.79520 | + | 9.08995i | 0.370345 | + | 0.382756i | ||||
\(565\) | −3.72817 | − | 0.850930i | −0.156845 | − | 0.0357989i | ||||
\(566\) | −1.44845 | + | 6.34608i | −0.0608829 | + | 0.266745i | ||||
\(567\) | −23.6913 | + | 2.39253i | −0.994939 | + | 0.100477i | ||||
\(568\) | −0.738740 | − | 3.23663i | −0.0309969 | − | 0.135806i | ||||
\(569\) | 42.2251i | 1.77017i | 0.465432 | + | 0.885084i | \(0.345899\pi\) | ||||
−0.465432 | + | 0.885084i | \(0.654101\pi\) | |||||||
\(570\) | −1.41143 | + | 10.9081i | −0.0591182 | + | 0.456888i | ||||
\(571\) | −4.19348 | − | 18.3728i | −0.175492 | − | 0.768880i | −0.983676 | − | 0.179950i | \(-0.942406\pi\) |
0.808184 | − | 0.588930i | \(-0.200451\pi\) | |||||||
\(572\) | −0.885824 | + | 0.603944i | −0.0370381 | + | 0.0252522i | ||||
\(573\) | −13.6412 | + | 13.1988i | −0.569867 | + | 0.551389i | ||||
\(574\) | 11.0412 | + | 21.9664i | 0.460853 | + | 0.916858i | ||||
\(575\) | 16.6229 | − | 13.2563i | 0.693222 | − | 0.552826i | ||||
\(576\) | 0.0988530 | − | 2.99837i | 0.00411887 | − | 0.124932i | ||||
\(577\) | 3.42876 | + | 22.7484i | 0.142741 | + | 0.947026i | 0.939456 | + | 0.342670i | \(0.111331\pi\) |
−0.796714 | + | 0.604356i | \(0.793430\pi\) | |||||||
\(578\) | 12.0255 | − | 0.901184i | 0.500193 | − | 0.0374843i | ||||
\(579\) | 6.68186 | + | 6.90578i | 0.277688 | + | 0.286994i | ||||
\(580\) | 3.38769 | − | 4.96882i | 0.140666 | − | 0.206319i | ||||
\(581\) | 9.25166 | − | 8.88099i | 0.383823 | − | 0.368446i | ||||
\(582\) | −12.9306 | − | 25.4733i | −0.535991 | − | 1.05590i | ||||
\(583\) | 1.58391 | − | 0.762773i | 0.0655990 | − | 0.0315908i | ||||
\(584\) | −7.97320 | − | 7.39805i | −0.329933 | − | 0.306133i | ||||
\(585\) | −3.18211 | − | 16.4182i | −0.131564 | − | 0.678808i | ||||
\(586\) | 12.0188 | + | 4.71702i | 0.496490 | + | 0.194858i | ||||
\(587\) | −15.3478 | + | 26.5831i | −0.633470 | + | 1.09720i | 0.353367 | + | 0.935485i | \(0.385037\pi\) |
−0.986837 | + | 0.161717i | \(0.948297\pi\) | |||||||
\(588\) | 7.74707 | − | 9.32647i | 0.319484 | − | 0.384617i | ||||
\(589\) | −0.167136 | − | 0.289487i | −0.00688670 | − | 0.0119281i | ||||
\(590\) | −0.145280 | − | 0.963867i | −0.00598107 | − | 0.0396818i | ||||
\(591\) | −21.7193 | + | 7.20046i | −0.893413 | + | 0.296187i | ||||
\(592\) | 2.96249 | − | 0.913807i | 0.121758 | − | 0.0375572i | ||||
\(593\) | 10.5256 | + | 7.17623i | 0.432235 | + | 0.294693i | 0.759825 | − | 0.650127i | \(-0.225284\pi\) |
−0.327591 | + | 0.944820i | \(0.606237\pi\) | |||||||
\(594\) | −1.29326 | − | 0.416027i | −0.0530630 | − | 0.0170698i | ||||
\(595\) | 7.99359 | − | 0.135592i | 0.327705 | − | 0.00555871i | ||||
\(596\) | −11.3245 | − | 0.848657i | −0.463872 | − | 0.0347624i | ||||
\(597\) | 4.75691 | + | 19.0000i | 0.194687 | + | 0.777618i | ||||
\(598\) | 12.0017 | − | 24.9217i | 0.490784 | − | 1.01912i | ||||
\(599\) | 8.32837 | − | 6.64166i | 0.340288 | − | 0.271371i | −0.438403 | − | 0.898779i | \(-0.644456\pi\) |
0.778691 | + | 0.627408i | \(0.215884\pi\) | |||||||
\(600\) | 4.44541 | − | 3.16905i | 0.181483 | − | 0.129376i | ||||
\(601\) | −5.64304 | − | 37.4391i | −0.230185 | − | 1.52717i | −0.743360 | − | 0.668891i | \(-0.766769\pi\) |
0.513176 | − | 0.858284i | \(-0.328469\pi\) | |||||||
\(602\) | −24.1744 | + | 2.22451i | −0.985277 | + | 0.0906643i | ||||
\(603\) | −35.6645 | + | 26.5672i | −1.45237 | + | 1.08190i | ||||
\(604\) | 0.0574170 | + | 0.766177i | 0.00233627 | + | 0.0311753i | ||||
\(605\) | −10.8937 | + | 10.1079i | −0.442893 | + | 0.410944i | ||||
\(606\) | 0.766332 | + | 1.83853i | 0.0311301 | + | 0.0746851i | ||||
\(607\) | 37.1312 | + | 21.4377i | 1.50711 | + | 0.870131i | 0.999966 | + | 0.00827008i | \(0.00263248\pi\) |
0.507145 | + | 0.861861i | \(0.330701\pi\) | |||||||
\(608\) | −3.42429 | + | 3.17728i | −0.138873 | + | 0.128856i | ||||
\(609\) | −8.11567 | − | 18.5769i | −0.328864 | − | 0.752772i | ||||
\(610\) | −12.8988 | − | 11.9684i | −0.522259 | − | 0.484585i | ||||
\(611\) | 8.82659 | + | 28.6151i | 0.357086 | + | 1.15764i | ||||
\(612\) | −0.776056 | − | 6.62308i | −0.0313702 | − | 0.267722i | ||||
\(613\) | 3.73514 | + | 9.51697i | 0.150861 | + | 0.384387i | 0.986247 | − | 0.165276i | \(-0.0528515\pi\) |
−0.835387 | + | 0.549663i | \(0.814756\pi\) | |||||||
\(614\) | −5.04691 | + | 22.1120i | −0.203677 | + | 0.892366i | ||||
\(615\) | −20.5300 | − | 7.56571i | −0.827848 | − | 0.305079i | ||||
\(616\) | 0.618045 | − | 0.310656i | 0.0249018 | − | 0.0125167i | ||||
\(617\) | −15.4211 | − | 16.6200i | −0.620832 | − | 0.669098i | 0.341843 | − | 0.939757i | \(-0.388949\pi\) |
−0.962675 | + | 0.270659i | \(0.912758\pi\) | |||||||
\(618\) | −14.8998 | − | 11.3805i | −0.599357 | − | 0.457791i | ||||
\(619\) | −40.2015 | + | 23.2104i | −1.61584 | + | 0.932903i | −0.627854 | + | 0.778331i | \(0.716067\pi\) |
−0.987982 | + | 0.154572i | \(0.950600\pi\) | |||||||
\(620\) | 0.0286735 | − | 0.0929571i | 0.00115155 | − | 0.00373325i | ||||
\(621\) | 34.2631 | − | 7.38764i | 1.37493 | − | 0.296456i | ||||
\(622\) | 2.25658 | + | 1.79956i | 0.0904805 | + | 0.0721558i | ||||
\(623\) | 9.48474 | + | 38.5310i | 0.379998 | + | 1.54371i | ||||
\(624\) | 3.42183 | − | 6.22396i | 0.136983 | − | 0.249158i | ||||
\(625\) | 0.663776 | + | 0.204748i | 0.0265511 | + | 0.00818992i | ||||
\(626\) | 6.02202 | + | 7.55138i | 0.240688 | + | 0.301814i | ||||
\(627\) | 0.957487 | + | 1.88625i | 0.0382384 | + | 0.0753296i | ||||
\(628\) | 1.20457 | + | 0.960609i | 0.0480674 | + | 0.0383325i | ||||
\(629\) | 6.20872 | − | 2.98996i | 0.247558 | − | 0.119218i | ||||
\(630\) | 0.634134 | + | 10.7715i | 0.0252645 | + | 0.429145i | ||||
\(631\) | 27.3876 | + | 13.1892i | 1.09028 | + | 0.525053i | 0.890591 | − | 0.454806i | \(-0.150291\pi\) |
0.199693 | + | 0.979859i | \(0.436006\pi\) | |||||||
\(632\) | 4.04278 | + | 8.39491i | 0.160813 | + | 0.333932i | ||||
\(633\) | −5.52040 | − | 32.0593i | −0.219416 | − | 1.27424i | ||||
\(634\) | −7.29033 | + | 3.51084i | −0.289536 | + | 0.139433i | ||||
\(635\) | −9.47446 | + | 1.42804i | −0.375982 | + | 0.0566702i | ||||
\(636\) | −7.06941 | + | 9.25553i | −0.280320 | + | 0.367006i | ||||
\(637\) | 26.3494 | − | 11.3872i | 1.04400 | − | 0.451178i | ||||
\(638\) | − | 1.15659i | − | 0.0457897i | ||||||
\(639\) | 9.11081 | − | 4.02329i | 0.360418 | − | 0.159159i | ||||
\(640\) | −1.35563 | − | 0.101590i | −0.0535858 | − | 0.00401570i | ||||
\(641\) | 6.25480 | + | 20.2776i | 0.247050 | + | 0.800915i | 0.991138 | + | 0.132834i | \(0.0424078\pi\) |
−0.744089 | + | 0.668081i | \(0.767116\pi\) | |||||||
\(642\) | −19.8112 | + | 22.2681i | −0.781884 | + | 0.878850i | ||||
\(643\) | 27.9902 | − | 2.09758i | 1.10383 | − | 0.0827204i | 0.489672 | − | 0.871907i | \(-0.337116\pi\) |
0.614154 | + | 0.789186i | \(0.289497\pi\) | |||||||
\(644\) | −9.80195 | + | 14.9141i | −0.386251 | + | 0.587699i | ||||
\(645\) | 14.3606 | − | 16.1416i | 0.565449 | − | 0.635574i | ||||
\(646\) | −6.47389 | + | 8.11800i | −0.254712 | + | 0.319398i | ||||
\(647\) | 23.1587 | − | 15.7894i | 0.910464 | − | 0.620744i | −0.0148732 | − | 0.999889i | \(-0.504734\pi\) |
0.925337 | + | 0.379146i | \(0.123782\pi\) | |||||||
\(648\) | 8.88721 | − | 1.42041i | 0.349122 | − | 0.0557988i | ||||
\(649\) | −0.127510 | − | 0.137423i | −0.00500521 | − | 0.00539434i | ||||
\(650\) | 12.7808 | − | 1.92640i | 0.501304 | − | 0.0755595i | ||||
\(651\) | −0.214020 | − | 0.248453i | −0.00838811 | − | 0.00973766i | ||||
\(652\) | −4.05691 | − | 0.611481i | −0.158881 | − | 0.0239474i | ||||
\(653\) | 8.29626 | + | 12.1684i | 0.324658 | + | 0.476185i | 0.953519 | − | 0.301332i | \(-0.0974312\pi\) |
−0.628862 | + | 0.777517i | \(0.716479\pi\) | |||||||
\(654\) | −21.1096 | − | 9.62712i | −0.825449 | − | 0.376450i | ||||
\(655\) | −10.6710 | − | 18.4827i | −0.416951 | − | 0.722180i | ||||
\(656\) | −4.64616 | − | 8.04738i | −0.181402 | − | 0.314198i | ||||
\(657\) | 17.2374 | − | 27.7056i | 0.672494 | − | 1.08090i | ||||
\(658\) | −3.20322 | − | 19.0534i | −0.124875 | − | 0.742779i | ||||
\(659\) | 13.6146 | − | 14.6730i | 0.530348 | − | 0.571580i | −0.409873 | − | 0.912142i | \(-0.634427\pi\) |
0.940222 | + | 0.340563i | \(0.110618\pi\) | |||||||
\(660\) | −0.212869 | + | 0.577631i | −0.00828590 | + | 0.0224842i | ||||
\(661\) | −11.0821 | − | 8.83767i | −0.431043 | − | 0.343745i | 0.383811 | − | 0.923412i | \(-0.374611\pi\) |
−0.814854 | + | 0.579666i | \(0.803183\pi\) | |||||||
\(662\) | 14.6322 | + | 11.6688i | 0.568696 | + | 0.453520i | ||||
\(663\) | 5.45915 | − | 14.8137i | 0.212016 | − | 0.575316i | ||||
\(664\) | −3.29691 | + | 3.55323i | −0.127945 | + | 0.137892i | ||||
\(665\) | 11.2172 | − | 12.5082i | 0.434985 | − | 0.485048i | ||||
\(666\) | 4.38240 | + | 8.20348i | 0.169815 | + | 0.317878i | ||||
\(667\) | 14.9202 | + | 25.8425i | 0.577712 | + | 1.00063i | ||||
\(668\) | −5.97526 | − | 10.3494i | −0.231190 | − | 0.400432i | ||||
\(669\) | −40.3962 | − | 18.4229i | −1.56181 | − | 0.712269i | ||||
\(670\) | 11.3521 | + | 16.6505i | 0.438571 | + | 0.643266i | ||||
\(671\) | −3.34632 | − | 0.504377i | −0.129183 | − | 0.0194713i | ||||
\(672\) | −2.71945 | + | 3.68844i | −0.104905 | + | 0.142285i | ||||
\(673\) | −8.66537 | + | 1.30609i | −0.334025 | + | 0.0503462i | −0.313914 | − | 0.949452i | \(-0.601640\pi\) |
−0.0201116 | + | 0.999798i | \(0.506402\pi\) | |||||||
\(674\) | 11.3593 | + | 12.2424i | 0.437544 | + | 0.471560i | ||||
\(675\) | 11.8710 | + | 11.2836i | 0.456916 | + | 0.434306i | ||||
\(676\) | 3.15256 | − | 2.14938i | 0.121252 | − | 0.0826683i | ||||
\(677\) | 8.33640 | − | 10.4535i | 0.320394 | − | 0.401761i | −0.595387 | − | 0.803439i | \(-0.703001\pi\) |
0.915781 | + | 0.401678i | \(0.131573\pi\) | |||||||
\(678\) | 3.23852 | − | 3.64014i | 0.124374 | − | 0.139799i | ||||
\(679\) | −5.77104 | + | 43.2540i | −0.221472 | + | 1.65993i | ||||
\(680\) | −3.01328 | + | 0.225814i | −0.115554 | + | 0.00865957i | ||||
\(681\) | 8.27562 | − | 9.30192i | 0.317122 | − | 0.356451i | ||||
\(682\) | −0.00551455 | − | 0.0178777i | −0.000211163 | − | 0.000684574i | ||||
\(683\) | −23.7313 | − | 1.77841i | −0.908053 | − | 0.0680492i | −0.387491 | − | 0.921873i | \(-0.626658\pi\) |
−0.520562 | + | 0.853824i | \(0.674277\pi\) | |||||||
\(684\) | −11.3124 | − | 8.27153i | −0.432540 | − | 0.316270i | ||||
\(685\) | − | 13.9309i | − | 0.532271i | ||||||
\(686\) | −17.8229 | + | 5.03415i | −0.680483 | + | 0.192205i | ||||
\(687\) | 21.9457 | − | 28.7321i | 0.837280 | − | 1.09620i | ||||
\(688\) | 9.07320 | − | 1.36756i | 0.345913 | − | 0.0521379i | ||||
\(689\) | −24.8428 | + | 11.9637i | −0.946436 | + | 0.455780i | ||||
\(690\) | −2.69526 | − | 15.6525i | −0.102607 | − | 0.595881i | ||||
\(691\) | 10.3947 | + | 21.5848i | 0.395433 | + | 0.821125i | 0.999704 | + | 0.0243456i | \(0.00775022\pi\) |
−0.604271 | + | 0.796779i | \(0.706535\pi\) | |||||||
\(692\) | 4.97397 | + | 2.39534i | 0.189082 | + | 0.0910572i | ||||
\(693\) | 1.26774 | + | 1.64293i | 0.0481574 | + | 0.0624098i | ||||
\(694\) | 30.1127 | − | 14.5015i | 1.14306 | − | 0.550470i | ||||
\(695\) | −1.32150 | − | 1.05386i | −0.0501272 | − | 0.0399751i | ||||
\(696\) | 3.46819 | + | 6.83233i | 0.131461 | + | 0.258979i | ||||
\(697\) | −12.8781 | − | 16.1487i | −0.487794 | − | 0.611675i | ||||
\(698\) | 21.4550 | + | 6.61800i | 0.812084 | + | 0.250495i | ||||
\(699\) | −6.43954 | + | 11.7128i | −0.243566 | + | 0.443021i | ||||
\(700\) | −8.33810 | + | 0.141435i | −0.315151 | + | 0.00534575i | ||||
\(701\) | 3.55240 | + | 2.83295i | 0.134172 | + | 0.106999i | 0.688276 | − | 0.725448i | \(-0.258368\pi\) |
−0.554104 | + | 0.832447i | \(0.686939\pi\) | |||||||
\(702\) | 20.2840 | + | 6.52516i | 0.765572 | + | 0.246276i | ||||
\(703\) | 4.26865 | − | 13.8386i | 0.160995 | − | 0.521934i | ||||
\(704\) | −0.226421 | + | 0.130724i | −0.00853356 | + | 0.00492686i | ||||
\(705\) | 13.6646 | + | 10.4371i | 0.514639 | + | 0.393083i | ||||
\(706\) | 16.3651 | + | 17.6374i | 0.615909 | + | 0.663792i | ||||
\(707\) | 0.626635 | − | 2.97737i | 0.0235670 | − | 0.111975i | ||||
\(708\) | 1.16533 | + | 0.429447i | 0.0437957 | + | 0.0161396i | ||||
\(709\) | −3.40715 | + | 14.9277i | −0.127958 | + | 0.560622i | 0.869782 | + | 0.493436i | \(0.164259\pi\) |
−0.997740 | + | 0.0671860i | \(0.978598\pi\) | |||||||
\(710\) | −1.64883 | − | 4.20114i | −0.0618794 | − | 0.157666i | ||||
\(711\) | −22.4169 | + | 16.6988i | −0.840700 | + | 0.626254i | ||||
\(712\) | −4.42076 | − | 14.3318i | −0.165675 | − | 0.537105i | ||||
\(713\) | 0.353842 | + | 0.328318i | 0.0132515 | + | 0.0122956i | ||||
\(714\) | −4.75531 | + | 9.00801i | −0.177963 | + | 0.337116i | ||||
\(715\) | −1.06840 | + | 0.991327i | −0.0399557 | + | 0.0370735i | ||||
\(716\) | 9.72786 | + | 5.61638i | 0.363547 | + | 0.209894i | ||||
\(717\) | 17.5618 | + | 42.1329i | 0.655857 | + | 1.57348i | ||||
\(718\) | 22.9667 | − | 21.3100i | 0.857110 | − | 0.795282i | ||||
\(719\) | −0.298774 | − | 3.98687i | −0.0111424 | − | 0.148685i | 0.988858 | − | 0.148865i | \(-0.0475619\pi\) |
−1.00000 | 0.000179592i | \(0.999943\pi\) | ||||||||
\(720\) | −0.474624 | − | 4.05057i | −0.0176882 | − | 0.150956i | ||||
\(721\) | 8.90452 | + | 27.2199i | 0.331622 | + | 1.01372i | ||||
\(722\) | 0.420433 | + | 2.78939i | 0.0156469 | + | 0.103810i | ||||
\(723\) | −12.8371 | + | 9.15138i | −0.477419 | + | 0.340344i | ||||
\(724\) | 1.49181 | − | 1.18967i | 0.0554425 | − | 0.0442139i | ||||
\(725\) | −6.04987 | + | 12.5627i | −0.224686 | + | 0.466566i | ||||
\(726\) | −4.59850 | − | 18.3673i | −0.170666 | − | 0.681673i | ||||
\(727\) | −0.981321 | − | 0.0735398i | −0.0363952 | − | 0.00272744i | 0.0565201 | − | 0.998401i | \(-0.482000\pi\) |
−0.0929152 | + | 0.995674i | \(0.529619\pi\) | |||||||
\(728\) | −9.69370 | + | 4.87247i | −0.359273 | + | 0.180586i | ||||
\(729\) | 9.25642 | + | 25.3637i | 0.342830 | + | 0.939397i | ||||
\(730\) | −12.2169 | − | 8.32931i | −0.452166 | − | 0.308282i | ||||
\(731\) | 19.4896 | − | 6.01173i | 0.720847 | − | 0.222352i | ||||
\(732\) | 21.2803 | − | 7.05491i | 0.786541 | − | 0.260757i | ||||
\(733\) | 4.53888 | + | 30.1135i | 0.167647 | + | 1.11227i | 0.901443 | + | 0.432898i | \(0.142509\pi\) |
−0.733796 | + | 0.679370i | \(0.762253\pi\) | |||||||
\(734\) | −7.80650 | − | 13.5213i | −0.288143 | − | 0.499079i | ||||
\(735\) | 8.52429 | − | 14.1067i | 0.314423 | − | 0.520333i | ||||
\(736\) | 3.37274 | − | 5.84175i | 0.124321 | − | 0.215330i | ||||
\(737\) | 3.60781 | + | 1.41596i | 0.132895 | + | 0.0521576i | ||||
\(738\) | 21.0489 | − | 18.2775i | 0.774822 | − | 0.672804i | ||||
\(739\) | −5.74894 | − | 5.33424i | −0.211478 | − | 0.196223i | 0.567320 | − | 0.823497i | \(-0.307980\pi\) |
−0.778799 | + | 0.627274i | \(0.784171\pi\) | |||||||
\(740\) | 3.79716 | − | 1.82861i | 0.139586 | − | 0.0672212i | ||||
\(741\) | −15.0177 | − | 29.5848i | −0.551688 | − | 1.08683i | ||||
\(742\) | 16.9086 | − | 5.53137i | 0.620734 | − | 0.203063i | ||||
\(743\) | 27.7435 | − | 40.6922i | 1.01781 | − | 1.49285i | 0.154619 | − | 0.987974i | \(-0.450585\pi\) |
0.863190 | − | 0.504879i | \(-0.168463\pi\) | |||||||
\(744\) | 0.0861852 | + | 0.0890734i | 0.00315970 | + | 0.00326559i | ||||
\(745\) | −15.3949 | + | 1.15369i | −0.564025 | + | 0.0422678i | ||||
\(746\) | −0.136486 | − | 0.905526i | −0.00499711 | − | 0.0331537i | ||||
\(747\) | −12.3469 | − | 7.68177i | −0.451749 | − | 0.281061i | ||||
\(748\) | −0.454359 | + | 0.362339i | −0.0166130 | + | 0.0132484i | ||||
\(749\) | 44.2085 | − | 10.8823i | 1.61534 | − | 0.397631i | ||||
\(750\) | 13.7944 | − | 13.3471i | 0.503701 | − | 0.487368i | ||||
\(751\) | −2.83468 | + | 1.93265i | −0.103439 | + | 0.0705235i | −0.613935 | − | 0.789357i | \(-0.710414\pi\) |
0.510496 | + | 0.859880i | \(0.329462\pi\) | |||||||
\(752\) | 1.62498 | + | 7.11948i | 0.0592568 | + | 0.259621i | ||||
\(753\) | 5.14606 | − | 39.7707i | 0.187533 | − | 1.44933i | ||||
\(754\) | 18.1404i | 0.660636i | ||||||||
\(755\) | 0.232419 | + | 1.01829i | 0.00845860 | + | 0.0370595i | ||||
\(756\) | −12.4155 | − | 5.90384i | −0.451547 | − | 0.214720i | ||||
\(757\) | 4.01408 | − | 17.5868i | 0.145894 | − | 0.639205i | −0.848106 | − | 0.529827i | \(-0.822257\pi\) |
0.994000 | − | 0.109378i | \(-0.0348859\pi\) | |||||||
\(758\) | 15.5066 | + | 3.53928i | 0.563225 | + | 0.128552i | ||||
\(759\) | −2.12407 | − | 2.19525i | −0.0770988 | − | 0.0796825i | ||||
\(760\) | −3.95933 | + | 4.96484i | −0.143620 | + | 0.180094i | ||||
\(761\) | −8.43889 | − | 7.83015i | −0.305910 | − | 0.283843i | 0.512247 | − | 0.858838i | \(-0.328813\pi\) |
−0.818157 | + | 0.574996i | \(0.805004\pi\) | |||||||
\(762\) | 4.22130 | − | 11.4547i | 0.152922 | − | 0.414961i | ||||
\(763\) | 18.2382 | + | 30.3873i | 0.660267 | + | 1.10010i | ||||
\(764\) | −10.6841 | + | 2.43858i | −0.386537 | + | 0.0882246i | ||||
\(765\) | −2.38512 | − | 8.74579i | −0.0862343 | − | 0.316205i | ||||
\(766\) | 11.8705 | + | 6.85346i | 0.428900 | + | 0.247625i | ||||
\(767\) | 1.99993 | + | 2.15541i | 0.0722132 | + | 0.0778273i | ||||
\(768\) | 0.945547 | − | 1.45119i | 0.0341195 | − | 0.0523652i | ||||
\(769\) | −7.44515 | + | 49.3954i | −0.268479 | + | 1.78124i | 0.295389 | + | 0.955377i | \(0.404551\pi\) |
−0.563868 | + | 0.825865i | \(0.690687\pi\) | |||||||
\(770\) | 0.767860 | − | 0.542821i | 0.0276718 | − | 0.0195619i | ||||
\(771\) | 0.575935 | + | 27.5244i | 0.0207418 | + | 0.991268i | ||||
\(772\) | 1.23452 | + | 5.40878i | 0.0444313 | + | 0.194666i | ||||
\(773\) | 26.5276 | − | 3.99840i | 0.954133 | − | 0.143812i | 0.346517 | − | 0.938044i | \(-0.387364\pi\) |
0.607616 | + | 0.794231i | \(0.292126\pi\) | |||||||
\(774\) | 9.20696 | + | 25.9417i | 0.330937 | + | 0.932454i | ||||
\(775\) | −0.0336165 | + | 0.223031i | −0.00120754 | + | 0.00801151i | ||||
\(776\) | 1.23255 | − | 16.4472i | 0.0442459 | − | 0.590421i | ||||
\(777\) | 1.58387 | − | 14.1184i | 0.0568210 | − | 0.506496i | ||||
\(778\) | 0.817217 | + | 10.9050i | 0.0292986 | + | 0.390963i | ||||
\(779\) | −43.2857 | − | 3.24381i | −1.55087 | − | 0.116222i | ||||
\(780\) | 3.33873 | − | 9.05982i | 0.119546 | − | 0.324394i | ||||
\(781\) | −0.717154 | − | 0.488948i | −0.0256618 | − | 0.0174959i | ||||
\(782\) | 5.47785 | − | 13.9573i | 0.195888 | − | 0.499113i | ||||
\(783\) | −18.1428 | + | 14.1146i | −0.648371 | + | 0.504413i | ||||
\(784\) | 6.61518 | − | 2.28896i | 0.236257 | − | 0.0817485i | ||||
\(785\) | 1.81386 | + | 1.04723i | 0.0647394 | + | 0.0373773i | ||||
\(786\) | 27.1860 | − | 0.568853i | 0.969692 | − | 0.0202903i | ||||
\(787\) | −0.805661 | − | 1.67297i | −0.0287187 | − | 0.0596350i | 0.886116 | − | 0.463464i | \(-0.153394\pi\) |
−0.914835 | + | 0.403829i | \(0.867679\pi\) | |||||||
\(788\) | −12.8796 | − | 2.93968i | −0.458816 | − | 0.104722i | ||||
\(789\) | 2.92437 | + | 2.60171i | 0.104110 | + | 0.0926234i | ||||
\(790\) | 7.13539 | + | 10.4657i | 0.253866 | + | 0.372353i | ||||
\(791\) | −7.22673 | + | 1.77892i | −0.256953 | + | 0.0632512i | ||||
\(792\) | −0.514255 | − | 0.592233i | −0.0182733 | − | 0.0210441i | ||||
\(793\) | 52.4853 | + | 7.91088i | 1.86381 | + | 0.280924i | ||||
\(794\) | −2.53570 | − | 33.8366i | −0.0899887 | − | 1.20082i | ||||
\(795\) | −7.62772 | + | 13.8740i | −0.270527 | + | 0.492061i | ||||
\(796\) | −3.33316 | + | 10.8058i | −0.118141 | + | 0.383002i | ||||
\(797\) | 0.919081 | − | 2.34178i | 0.0325555 | − | 0.0829501i | −0.913672 | − | 0.406453i | \(-0.866765\pi\) |
0.946227 | + | 0.323503i | \(0.104861\pi\) | |||||||
\(798\) | 7.07987 | + | 20.2018i | 0.250625 | + | 0.715137i | ||||
\(799\) | 5.93026 | + | 15.1101i | 0.209798 | + | 0.534556i | ||||
\(800\) | 3.14315 | − | 0.235546i | 0.111127 | − | 0.00832781i | ||||
\(801\) | 39.6863 | − | 21.2009i | 1.40225 | − | 0.749098i | ||||
\(802\) | 10.6154 | − | 18.3863i | 0.374841 | − | 0.649244i | ||||
\(803\) | −2.84370 | −0.100352 | ||||||||
\(804\) | −25.5584 | + | 2.45399i | −0.901377 | + | 0.0865454i | ||||
\(805\) | −10.1544 | + | 22.0342i | −0.357896 | + | 0.776604i | ||||
\(806\) | 0.0864928 | + | 0.280403i | 0.00304658 | + | 0.00987676i | ||||
\(807\) | −1.45601 | + | 1.21182i | −0.0512540 | + | 0.0426580i | ||||
\(808\) | −0.171397 | + | 1.13715i | −0.00602974 | + | 0.0400047i | ||||
\(809\) | −12.4186 | + | 4.87394i | −0.436614 | + | 0.171359i | −0.573459 | − | 0.819234i | \(-0.694399\pi\) |
0.136845 | + | 0.990592i | \(0.456304\pi\) | |||||||
\(810\) | 11.6588 | − | 3.71003i | 0.409648 | − | 0.130357i | ||||
\(811\) | −11.4661 | − | 2.61705i | −0.402628 | − | 0.0918972i | 0.0164114 | − | 0.999865i | \(-0.494776\pi\) |
−0.419039 | + | 0.907968i | \(0.637633\pi\) | |||||||
\(812\) | 1.54788 | − | 11.6014i | 0.0543199 | − | 0.407129i | ||||
\(813\) | −33.2853 | + | 23.7285i | −1.16737 | + | 0.832195i | ||||
\(814\) | 0.405274 | − | 0.701956i | 0.0142049 | − | 0.0246035i | ||||
\(815\) | −5.57737 | −0.195367 | ||||||||
\(816\) | 1.59752 | − | 3.50291i | 0.0559244 | − | 0.122626i | ||||
\(817\) | 18.5972 | − | 38.6175i | 0.650635 | − | 1.35106i | ||||
\(818\) | 3.86908 | − | 4.85167i | 0.135279 | − | 0.169635i | ||||
\(819\) | −19.8838 | − | 25.7685i | −0.694796 | − | 0.900424i | ||||
\(820\) | −7.87606 | − | 9.87627i | −0.275044 | − | 0.344894i | ||||
\(821\) | −34.1376 | + | 7.79169i | −1.19141 | + | 0.271932i | −0.771856 | − | 0.635798i | \(-0.780671\pi\) |
−0.419556 | + | 0.907730i | \(0.637814\pi\) | |||||||
\(822\) | 15.5537 | + | 8.55118i | 0.542498 | + | 0.298257i | ||||
\(823\) | −11.2659 | − | 5.42538i | −0.392705 | − | 0.189117i | 0.227102 | − | 0.973871i | \(-0.427075\pi\) |
−0.619807 | + | 0.784754i | \(0.712789\pi\) | |||||||
\(824\) | −3.95469 | − | 10.0764i | −0.137768 | − | 0.351027i | ||||
\(825\) | 0.288432 | − | 1.39789i | 0.0100419 | − | 0.0486684i | ||||
\(826\) | −1.09510 | − | 1.54910i | −0.0381034 | − | 0.0539001i | ||||
\(827\) | 20.9946 | − | 43.5956i | 0.730052 | − | 1.51597i | −0.122010 | − | 0.992529i | \(-0.538934\pi\) |
0.852063 | − | 0.523440i | \(-0.175352\pi\) | |||||||
\(828\) | 19.1303 | + | 6.59873i | 0.664825 | + | 0.229322i | ||||
\(829\) | 4.91748 | − | 5.29978i | 0.170791 | − | 0.184069i | −0.641856 | − | 0.766825i | \(-0.721835\pi\) |
0.812647 | + | 0.582756i | \(0.198026\pi\) | |||||||
\(830\) | −3.71192 | + | 5.44439i | −0.128843 | + | 0.188978i | ||||
\(831\) | 9.31516 | + | 5.12133i | 0.323139 | + | 0.177657i | ||||
\(832\) | 3.55129 | − | 2.05034i | 0.123119 | − | 0.0710827i | ||||
\(833\) | 13.7817 | − | 7.22261i | 0.477506 | − | 0.250249i | ||||
\(834\) | 1.98780 | − | 0.828551i | 0.0688318 | − | 0.0286904i | ||||
\(835\) | −10.1291 | − | 12.7015i | −0.350533 | − | 0.439554i | ||||
\(836\) | −0.0912679 | + | 1.21789i | −0.00315657 | + | 0.0421214i | ||||
\(837\) | −0.213142 | + | 0.304677i | −0.00736726 | + | 0.0105312i | ||||
\(838\) | −9.14361 | + | 13.4112i | −0.315861 | + | 0.463283i | ||||
\(839\) | 22.9301 | − | 15.6335i | 0.791635 | − | 0.539727i | −0.0986551 | − | 0.995122i | \(-0.531454\pi\) |
0.890290 | + | 0.455394i | \(0.150502\pi\) | |||||||
\(840\) | −2.90827 | + | 5.50916i | −0.100345 | + | 0.190084i | ||||
\(841\) | 7.79168 | + | 5.31228i | 0.268679 | + | 0.183182i | ||||
\(842\) | 18.8748 | − | 7.40782i | 0.650469 | − | 0.255290i | ||||
\(843\) | 15.7501 | − | 7.99498i | 0.542463 | − | 0.275362i | ||||
\(844\) | 6.86179 | − | 17.4836i | 0.236193 | − | 0.601809i | ||||
\(845\) | 3.80231 | − | 3.52803i | 0.130803 | − | 0.121368i | ||||
\(846\) | −20.0407 | + | 8.84985i | −0.689012 | + | 0.304264i | ||||
\(847\) | −10.1084 | + | 27.0985i | −0.347329 | + | 0.931114i | ||||
\(848\) | −6.25931 | + | 2.45660i | −0.214946 | + | 0.0843599i | ||||
\(849\) | −9.44617 | − | 6.15483i | −0.324192 | − | 0.211233i | ||||
\(850\) | 6.83050 | − | 1.55902i | 0.234284 | − | 0.0534739i | ||||
\(851\) | 20.9125i | 0.716870i | ||||||||
\(852\) | 5.70264 | + | 0.737883i | 0.195369 | + | 0.0252795i | ||||
\(853\) | 7.89288 | − | 25.5881i | 0.270247 | − | 0.876119i | −0.714125 | − | 0.700018i | \(-0.753175\pi\) |
0.984372 | − | 0.176101i | \(-0.0563486\pi\) | |||||||
\(854\) | −32.8910 | − | 9.53770i | −1.12551 | − | 0.326373i | ||||
\(855\) | −16.8825 | − | 8.82692i | −0.577369 | − | 0.301874i | ||||
\(856\) | −16.4435 | + | 5.07215i | −0.562028 | + | 0.173363i | ||||
\(857\) | −51.8408 | − | 7.81374i | −1.77085 | − | 0.266912i | −0.819068 | − | 0.573696i | \(-0.805509\pi\) |
−0.951779 | + | 0.306784i | \(0.900747\pi\) | |||||||
\(858\) | −0.450995 | − | 1.80136i | −0.0153967 | − | 0.0614974i | ||||
\(859\) | 0.450103 | − | 0.485096i | 0.0153573 | − | 0.0165513i | −0.725326 | − | 0.688405i | \(-0.758311\pi\) |
0.740684 | + | 0.671854i | \(0.234502\pi\) | |||||||
\(860\) | 11.9195 | − | 3.67668i | 0.406452 | − | 0.125374i | ||||
\(861\) | −42.3127 | + | 4.78817i | −1.44201 | + | 0.163180i | ||||
\(862\) | −18.1297 | − | 5.59228i | −0.617501 | − | 0.190474i | ||||
\(863\) | 11.0206 | − | 6.36275i | 0.375146 | − | 0.216591i | −0.300558 | − | 0.953763i | \(-0.597173\pi\) |
0.675704 | + | 0.737173i | \(0.263840\pi\) | |||||||
\(864\) | 4.81376 | + | 1.95644i | 0.163768 | + | 0.0665596i | ||||
\(865\) | 7.17156 | + | 2.21213i | 0.243840 | + | 0.0752148i | ||||
\(866\) | 5.13734 | + | 2.47401i | 0.174574 | + | 0.0840703i | ||||
\(867\) | −5.73769 | + | 20.0836i | −0.194862 | + | 0.682074i | ||||
\(868\) | −0.0313887 | − | 0.186707i | −0.00106540 | − | 0.00633723i | ||||
\(869\) | 2.26769 | + | 0.890002i | 0.0769261 | + | 0.0301913i | ||||
\(870\) | 6.04640 | + | 8.48162i | 0.204992 | + | 0.287554i | ||||
\(871\) | −56.5865 | − | 22.2086i | −1.91736 | − | 0.752508i | ||||
\(872\) | −7.54579 | − | 11.0676i | −0.255533 | − | 0.374798i | ||||
\(873\) | 49.1438 | − | 5.75840i | 1.66327 | − | 0.194892i | ||||
\(874\) | −13.6717 | − | 28.3895i | −0.462452 | − | 0.960291i | ||||
\(875\) | −28.9144 | + | 4.86104i | −0.977486 | + | 0.164333i | ||||
\(876\) | 16.7987 | − | 8.52724i | 0.567574 | − | 0.288109i | ||||
\(877\) | 2.44338 | − | 32.6046i | 0.0825069 | − | 1.10098i | −0.790237 | − | 0.612801i | \(-0.790043\pi\) |
0.872744 | − | 0.488178i | \(-0.162338\pi\) | |||||||
\(878\) | −3.09239 | + | 13.5487i | −0.104363 | + | 0.457245i | ||||
\(879\) | −14.8644 | + | 16.7078i | −0.501364 | + | 0.563541i | ||||
\(880\) | −0.277879 | + | 0.221601i | −0.00936729 | + | 0.00747016i | ||||
\(881\) | 18.4170 | 0.620486 | 0.310243 | − | 0.950657i | \(-0.399590\pi\) | ||||
0.310243 | + | 0.950657i | \(0.399590\pi\) | |||||||
\(882\) | 10.5175 | + | 18.1764i | 0.354144 | + | 0.612031i | ||||
\(883\) | −35.7330 | −1.20251 | −0.601256 | − | 0.799056i | \(-0.705333\pi\) | ||||
−0.601256 | + | 0.799056i | \(0.705333\pi\) | |||||||
\(884\) | 7.12637 | − | 5.68309i | 0.239686 | − | 0.191143i | ||||
\(885\) | 1.65349 | + | 0.341171i | 0.0555816 | + | 0.0114683i | ||||
\(886\) | 5.80917 | − | 25.4517i | 0.195163 | − | 0.855065i | ||||
\(887\) | 0.161046 | − | 2.14901i | 0.00540740 | − | 0.0721567i | −0.993847 | − | 0.110760i | \(-0.964672\pi\) |
0.999255 | + | 0.0386028i | \(0.0122907\pi\) | |||||||
\(888\) | −0.289173 | + | 5.36195i | −0.00970402 | + | 0.179935i | ||||
\(889\) | −15.2271 | + | 10.7644i | −0.510700 | + | 0.361027i | ||||
\(890\) | −8.84636 | − | 18.3697i | −0.296531 | − | 0.615752i | ||||
\(891\) | 1.45069 | − | 1.85264i | 0.0485999 | − | 0.0620658i | ||||
\(892\) | −14.4400 | − | 21.1795i | −0.483485 | − | 0.709143i | ||||
\(893\) | 31.7543 | + | 12.4627i | 1.06262 | + | 0.417047i | ||||
\(894\) | 8.16175 | − | 17.8964i | 0.272970 | − | 0.598546i | ||||
\(895\) | 14.2146 | + | 5.57880i | 0.475140 | + | 0.186479i | ||||
\(896\) | −2.44611 | + | 1.00823i | −0.0817189 | + | 0.0336827i | ||||
\(897\) | 33.3148 | + | 34.4313i | 1.11235 | + | 1.14963i | ||||
\(898\) | −27.5385 | − | 13.2619i | −0.918973 | − | 0.442554i | ||||
\(899\) | −0.302495 | − | 0.0933074i | −0.0100888 | − | 0.00311198i | ||||
\(900\) | 2.48792 | + | 9.12271i | 0.0829306 | + | 0.304090i | ||||
\(901\) | −12.9439 | + | 7.47317i | −0.431224 | + | 0.248968i | ||||
\(902\) | −2.32153 | − | 0.716097i | −0.0772984 | − | 0.0238434i | ||||
\(903\) | 10.8633 | − | 40.6208i | 0.361508 | − | 1.35177i | ||||
\(904\) | 2.68801 | − | 0.829141i | 0.0894019 | − | 0.0275768i | ||||
\(905\) | 1.76431 | − | 1.90147i | 0.0586475 | − | 0.0632070i | ||||
\(906\) | −1.27958 | − | 0.365565i | −0.0425113 | − | 0.0121451i | ||||
\(907\) | −24.1310 | − | 3.63716i | −0.801255 | − | 0.120770i | −0.264366 | − | 0.964422i | \(-0.585163\pi\) |
−0.536889 | + | 0.843653i | \(0.680401\pi\) | |||||||
\(908\) | 6.86887 | − | 2.11877i | 0.227951 | − | 0.0703137i | ||||
\(909\) | −3.44696 | + | 0.144315i | −0.114328 | + | 0.00478662i | ||||
\(910\) | −12.0435 | + | 8.51385i | −0.399237 | + | 0.282231i | ||||
\(911\) | −13.6109 | + | 44.1254i | −0.450949 | + | 1.46194i | 0.389995 | + | 0.920817i | \(0.372477\pi\) |
−0.840943 | + | 0.541123i | \(0.817999\pi\) | |||||||
\(912\) | −3.11285 | − | 7.46812i | −0.103077 | − | 0.247294i | ||||
\(913\) | 1.26728i | 0.0419410i | ||||||||
\(914\) | −13.5085 | + | 3.08324i | −0.446823 | + | 0.101984i | ||||
\(915\) | 27.1764 | − | 13.7952i | 0.898426 | − | 0.456054i | ||||
\(916\) | 19.4309 | − | 7.62605i | 0.642014 | − | 0.251972i | ||||
\(917\) | −34.7108 | − | 22.8128i | −1.14625 | − | 0.753346i | ||||
\(918\) | 11.2287 | + | 2.70545i | 0.370601 | + | 0.0892931i | ||||
\(919\) | 37.0513 | − | 34.3786i | 1.22221 | − | 1.13405i | 0.235446 | − | 0.971888i | \(-0.424345\pi\) |
0.986765 | − | 0.162158i | \(-0.0518455\pi\) | |||||||
\(920\) | 3.35017 | − | 8.53609i | 0.110452 | − | 0.281427i | ||||
\(921\) | −32.9138 | − | 21.4456i | −1.08455 | − | 0.706656i | ||||
\(922\) | −20.6642 | + | 8.11010i | −0.680539 | + | 0.267092i | ||||
\(923\) | 11.2482 | + | 7.66888i | 0.370238 | + | 0.252424i | ||||
\(924\) | 0.134720 | + | 1.19051i | 0.00443196 | + | 0.0391649i | ||||
\(925\) | −8.07382 | + | 5.50464i | −0.265466 | + | 0.180991i | ||||
\(926\) | −10.1713 | + | 14.9186i | −0.334250 | + | 0.490255i | ||||
\(927\) | 27.4194 | − | 17.3992i | 0.900573 | − | 0.571464i | ||||
\(928\) | −0.330588 | + | 4.41140i | −0.0108521 | + | 0.144811i | ||||
\(929\) | −29.8644 | − | 37.4488i | −0.979820 | − | 1.22866i | −0.973503 | − | 0.228676i | \(-0.926560\pi\) |
−0.00631784 | − | 0.999980i | \(-0.502011\pi\) | |||||||
\(930\) | 0.133901 | + | 0.102274i | 0.00439079 | + | 0.00335370i | ||||
\(931\) | 8.57293 | − | 31.5552i | 0.280966 | − | 1.03418i | ||||
\(932\) | −6.68316 | + | 3.85852i | −0.218914 | + | 0.126390i | ||||
\(933\) | −4.27617 | + | 2.58961i | −0.139995 | + | 0.0847800i | ||||
\(934\) | 4.18708 | − | 6.14132i | 0.137005 | − | 0.200950i | ||||
\(935\) | −0.537354 | + | 0.579130i | −0.0175734 | + | 0.0189396i | ||||
\(936\) | 8.06581 | + | 9.28885i | 0.263639 | + | 0.303615i | ||||
\(937\) | −4.81653 | + | 10.0016i | −0.157349 | + | 0.326739i | −0.964708 | − | 0.263322i | \(-0.915182\pi\) |
0.807359 | + | 0.590061i | \(0.200896\pi\) | |||||||
\(938\) | 34.2938 | + | 19.0315i | 1.11973 | + | 0.621399i | ||||
\(939\) | −15.8793 | + | 5.26435i | −0.518200 | + | 0.171795i | ||||
\(940\) | 3.62685 | + | 9.24108i | 0.118295 | + | 0.301411i | ||||
\(941\) | 8.72154 | + | 4.20007i | 0.284314 | + | 0.136918i | 0.570606 | − | 0.821224i | \(-0.306708\pi\) |
−0.286292 | + | 0.958142i | \(0.592423\pi\) | |||||||
\(942\) | −2.28263 | + | 1.38234i | −0.0743720 | + | 0.0450390i | ||||
\(943\) | 61.1095 | − | 13.9479i | 1.99000 | − | 0.454205i | ||||
\(944\) | 0.447063 | + | 0.560599i | 0.0145507 | + | 0.0182460i | ||||
\(945\) | −17.8856 | − | 5.42066i | −0.581820 | − | 0.176334i | ||||
\(946\) | 1.49573 | − | 1.87559i | 0.0486305 | − | 0.0609807i | ||||
\(947\) | 15.9535 | − | 33.1279i | 0.518421 | − | 1.07651i | −0.463303 | − | 0.886200i | \(-0.653336\pi\) |
0.981724 | − | 0.190312i | \(-0.0609498\pi\) | |||||||
\(948\) | −16.0648 | + | 1.54245i | −0.521759 | + | 0.0500966i | ||||
\(949\) | 44.6019 | 1.44784 | ||||||||
\(950\) | 7.36185 | − | 12.7511i | 0.238850 | − | 0.413700i | ||||
\(951\) | −1.33950 | − | 13.9510i | −0.0434363 | − | 0.452392i | ||||
\(952\) | −5.04246 | + | 3.02644i | −0.163427 | + | 0.0980874i | ||||
\(953\) | 43.0769 | + | 9.83201i | 1.39540 | + | 0.318490i | 0.853122 | − | 0.521712i | \(-0.174706\pi\) |
0.542274 | + | 0.840202i | \(0.317563\pi\) | |||||||
\(954\) | −10.8081 | − | 17.0326i | −0.349926 | − | 0.551450i | ||||
\(955\) | −13.8679 | + | 5.44277i | −0.448756 | + | 0.176124i | ||||
\(956\) | −3.92786 | + | 26.0596i | −0.127036 | + | 0.842829i | ||||
\(957\) | 1.87969 | + | 0.692704i | 0.0607618 | + | 0.0223919i | ||||
\(958\) | −7.57106 | − | 24.5448i | −0.244610 | − | 0.793005i | ||||
\(959\) | −12.1763 | − | 24.2246i | −0.393194 | − | 0.782253i | ||||
\(960\) | 0.977018 | − | 2.14233i | 0.0315331 | − | 0.0691433i | ||||
\(961\) | 30.9949 | 0.999835 | ||||||||
\(962\) | −6.35651 | + | 11.0098i | −0.204942 | + | 0.354970i | ||||
\(963\) | −24.3249 | − | 45.5340i | −0.783857 | − | 1.46731i | ||||
\(964\) | −9.07657 | + | 0.680195i | −0.292337 | + | 0.0219076i | ||||
\(965\) | 2.75538 | + | 7.02059i | 0.0886988 | + | 0.226001i | ||||
\(966\) | −18.3679 | − | 24.8626i | −0.590979 | − | 0.799940i | ||||
\(967\) | −14.8930 | + | 37.9467i | −0.478926 | + | 1.22028i | 0.463568 | + | 0.886061i | \(0.346569\pi\) |
−0.942494 | + | 0.334223i | \(0.891526\pi\) | |||||||
\(968\) | 3.22216 | − | 10.4460i | 0.103564 | − | 0.335747i | ||||
\(969\) | −9.31607 | − | 15.3834i | −0.299275 | − | 0.494187i | ||||
\(970\) | −1.67556 | − | 22.3588i | −0.0537990 | − | 0.717897i | ||||
\(971\) | −0.889209 | − | 0.134027i | −0.0285361 | − | 0.00430112i | 0.134759 | − | 0.990878i | \(-0.456974\pi\) |
−0.163295 | + | 0.986577i | \(0.552212\pi\) | |||||||
\(972\) | −3.01428 | + | 15.2943i | −0.0966832 | + | 0.490563i | ||||
\(973\) | −3.21910 | − | 0.677511i | −0.103200 | − | 0.0217200i | ||||
\(974\) | 3.95478 | + | 5.80060i | 0.126719 | + | 0.185863i | ||||
\(975\) | −4.52390 | + | 21.9252i | −0.144881 | + | 0.702168i | ||||
\(976\) | 12.6192 | + | 2.88025i | 0.403931 | + | 0.0921947i | ||||
\(977\) | −23.3712 | − | 48.5309i | −0.747712 | − | 1.55264i | −0.831100 | − | 0.556123i | \(-0.812288\pi\) |
0.0833883 | − | 0.996517i | \(-0.473426\pi\) | |||||||
\(978\) | 3.42355 | − | 6.22708i | 0.109473 | − | 0.199120i | ||||
\(979\) | −3.39588 | − | 1.96061i | −0.108533 | − | 0.0626614i | ||||
\(980\) | 8.42865 | − | 4.41723i | 0.269243 | − | 0.141103i | ||||
\(981\) | 28.2890 | − | 28.5415i | 0.903199 | − | 0.911260i | ||||
\(982\) | −4.52327 | + | 11.5251i | −0.144343 | + | 0.367781i | ||||
\(983\) | −6.87746 | − | 4.68897i | −0.219357 | − | 0.149555i | 0.448656 | − | 0.893704i | \(-0.351903\pi\) |
−0.668013 | + | 0.744149i | \(0.732855\pi\) | |||||||
\(984\) | 15.8613 | − | 2.73122i | 0.505641 | − | 0.0870680i | ||||
\(985\) | −17.9089 | − | 1.34209i | −0.570625 | − | 0.0427624i | ||||
\(986\) | 0.734830 | + | 9.80563i | 0.0234018 | + | 0.312275i | ||||
\(987\) | 32.8842 | + | 6.20559i | 1.04672 | + | 0.197526i | ||||
\(988\) | 1.43149 | − | 19.1019i | 0.0455417 | − | 0.607711i | ||||
\(989\) | −9.22487 | + | 61.2030i | −0.293334 | + | 1.94614i | ||||
\(990\) | −0.811277 | − | 0.691911i | −0.0257841 | − | 0.0219904i | ||||
\(991\) | 28.7890 | − | 4.33924i | 0.914513 | − | 0.137841i | 0.325107 | − | 0.945677i | \(-0.394600\pi\) |
0.589406 | + | 0.807837i | \(0.299362\pi\) | |||||||
\(992\) | 0.0159233 | + | 0.0697646i | 0.000505566 | + | 0.00221503i | ||||
\(993\) | −27.7277 | + | 16.7916i | −0.879911 | + | 0.532866i | ||||
\(994\) | −6.53920 | − | 5.86427i | −0.207411 | − | 0.186003i | ||||
\(995\) | −2.29118 | + | 15.2010i | −0.0726354 | + | 0.481904i | ||||
\(996\) | −3.80013 | − | 7.48626i | −0.120412 | − | 0.237211i | ||||
\(997\) | 9.09346 | + | 9.80042i | 0.287993 | + | 0.310382i | 0.860433 | − | 0.509564i | \(-0.170193\pi\) |
−0.572440 | + | 0.819947i | \(0.694003\pi\) | |||||||
\(998\) | 32.9583 | + | 19.0285i | 1.04328 | + | 0.602336i | ||||
\(999\) | −15.9570 | + | 2.20907i | −0.504859 | + | 0.0698919i |
(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 | 882.2.bk.a.101.10 | yes | 672 | |
9.5 | odd | 6 | 882.2.bc.a.689.38 | yes | 672 | ||
49.33 | odd | 42 | 882.2.bc.a.425.38 | ✓ | 672 | ||
441.131 | even | 42 | inner | 882.2.bk.a.131.10 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.bc.a.425.38 | ✓ | 672 | 49.33 | odd | 42 | ||
882.2.bc.a.689.38 | yes | 672 | 9.5 | odd | 6 | ||
882.2.bk.a.101.10 | yes | 672 | 1.1 | even | 1 | trivial | |
882.2.bk.a.131.10 | yes | 672 | 441.131 | even | 42 | inner |