Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 47.11 | ||
Character | \(\chi\) | \(=\) | 570.47 |
Dual form | 570.2.bi.a.473.11 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.819152 | − | 0.573576i | −0.579228 | − | 0.405580i | ||||
\(3\) | −0.0360929 | + | 1.73167i | −0.0208383 | + | 0.999783i | ||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | 0.368089 | − | 2.20556i | 0.164614 | − | 0.986358i | ||||
\(6\) | 1.02281 | − | 1.39780i | 0.417562 | − | 0.570651i | ||||
\(7\) | −0.623042 | + | 0.166944i | −0.235488 | + | 0.0630988i | −0.374633 | − | 0.927173i | \(-0.622231\pi\) |
0.139145 | + | 0.990272i | \(0.455565\pi\) | |||||||
\(8\) | 0.258819 | − | 0.965926i | 0.0915064 | − | 0.341506i | ||||
\(9\) | −2.99739 | − | 0.125002i | −0.999132 | − | 0.0416675i | ||||
\(10\) | −1.56658 | + | 1.59556i | −0.495396 | + | 0.504562i | ||||
\(11\) | −1.95232 | + | 1.12717i | −0.588645 | + | 0.339855i | −0.764562 | − | 0.644551i | \(-0.777045\pi\) |
0.175916 | + | 0.984405i | \(0.443711\pi\) | |||||||
\(12\) | −1.63959 | + | 0.558351i | −0.473308 | + | 0.161182i | ||||
\(13\) | −3.88841 | + | 0.340192i | −1.07845 | + | 0.0943522i | −0.612509 | − | 0.790464i | \(-0.709840\pi\) |
−0.465941 | + | 0.884816i | \(0.654284\pi\) | |||||||
\(14\) | 0.606121 | + | 0.220610i | 0.161993 | + | 0.0589605i | ||||
\(15\) | 3.80603 | + | 0.717016i | 0.982714 | + | 0.185133i | ||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | −4.32802 | − | 3.03051i | −1.04970 | − | 0.735006i | −0.0844727 | − | 0.996426i | \(-0.526921\pi\) |
−0.965225 | + | 0.261419i | \(0.915809\pi\) | |||||||
\(18\) | 2.38362 | + | 1.82163i | 0.561825 | + | 0.429363i | ||||
\(19\) | 0.0260871 | + | 4.35882i | 0.00598480 | + | 0.999982i | ||||
\(20\) | 2.19845 | − | 0.408456i | 0.491587 | − | 0.0913336i | ||||
\(21\) | −0.266605 | − | 1.08493i | −0.0581779 | − | 0.236752i | ||||
\(22\) | 2.24576 | + | 0.196479i | 0.478798 | + | 0.0418894i | ||||
\(23\) | 1.63077 | + | 0.760439i | 0.340038 | + | 0.158562i | 0.585134 | − | 0.810936i | \(-0.301042\pi\) |
−0.245096 | + | 0.969499i | \(0.578820\pi\) | |||||||
\(24\) | 1.66333 | + | 0.483053i | 0.339525 | + | 0.0986029i | ||||
\(25\) | −4.72902 | − | 1.62369i | −0.945804 | − | 0.324738i | ||||
\(26\) | 3.38032 | + | 1.95163i | 0.662936 | + | 0.382746i | ||||
\(27\) | 0.324648 | − | 5.18600i | 0.0624786 | − | 0.998046i | ||||
\(28\) | −0.369969 | − | 0.528370i | −0.0699175 | − | 0.0998526i | ||||
\(29\) | −1.38260 | + | 7.84114i | −0.256743 | + | 1.45606i | 0.534815 | + | 0.844969i | \(0.320381\pi\) |
−0.791558 | + | 0.611094i | \(0.790730\pi\) | |||||||
\(30\) | −2.70646 | − | 2.77040i | −0.494129 | − | 0.505803i | ||||
\(31\) | 1.69681 | − | 2.93896i | 0.304756 | − | 0.527854i | −0.672451 | − | 0.740142i | \(-0.734758\pi\) |
0.977207 | + | 0.212288i | \(0.0680916\pi\) | |||||||
\(32\) | 0.996195 | − | 0.0871557i | 0.176104 | − | 0.0154071i | ||||
\(33\) | −1.88143 | − | 3.42146i | −0.327514 | − | 0.595600i | ||||
\(34\) | 1.80707 | + | 4.96490i | 0.309911 | + | 0.851473i | ||||
\(35\) | 0.138870 | + | 1.43561i | 0.0234733 | + | 0.242662i | ||||
\(36\) | −0.907705 | − | 2.85938i | −0.151284 | − | 0.476564i | ||||
\(37\) | 0.860111 | + | 0.860111i | 0.141401 | + | 0.141401i | 0.774264 | − | 0.632863i | \(-0.218120\pi\) |
−0.632863 | + | 0.774264i | \(0.718120\pi\) | |||||||
\(38\) | 2.47875 | − | 3.58550i | 0.402106 | − | 0.581645i | ||||
\(39\) | −0.448757 | − | 6.74574i | −0.0718586 | − | 1.08018i | ||||
\(40\) | −2.03514 | − | 0.926389i | −0.321784 | − | 0.146475i | ||||
\(41\) | −3.79388 | − | 4.52137i | −0.592505 | − | 0.706120i | 0.383581 | − | 0.923507i | \(-0.374691\pi\) |
−0.976085 | + | 0.217388i | \(0.930246\pi\) | |||||||
\(42\) | −0.403902 | + | 1.04164i | −0.0623234 | + | 0.160729i | ||||
\(43\) | −8.64041 | + | 4.02909i | −1.31765 | + | 0.614431i | −0.949041 | − | 0.315153i | \(-0.897944\pi\) |
−0.368610 | + | 0.929584i | \(0.620166\pi\) | |||||||
\(44\) | −1.72692 | − | 1.44906i | −0.260344 | − | 0.218454i | ||||
\(45\) | −1.37901 | + | 6.56493i | −0.205571 | + | 0.978642i | ||||
\(46\) | −0.899676 | − | 1.55828i | −0.132650 | − | 0.229757i | ||||
\(47\) | −6.88289 | − | 9.82978i | −1.00397 | − | 1.43382i | −0.898281 | − | 0.439422i | \(-0.855183\pi\) |
−0.105691 | − | 0.994399i | \(-0.533705\pi\) | |||||||
\(48\) | −1.08545 | − | 1.34974i | −0.156671 | − | 0.194818i | ||||
\(49\) | −5.70187 | + | 3.29197i | −0.814552 | + | 0.470282i | ||||
\(50\) | 2.94248 | + | 4.04250i | 0.416129 | + | 0.571696i | ||||
\(51\) | 5.40407 | − | 7.38534i | 0.756721 | − | 1.03415i | ||||
\(52\) | −1.64959 | − | 3.53756i | −0.228757 | − | 0.490571i | ||||
\(53\) | −6.10817 | − | 2.84829i | −0.839021 | − | 0.391242i | −0.0448927 | − | 0.998992i | \(-0.514295\pi\) |
−0.794129 | + | 0.607750i | \(0.792072\pi\) | |||||||
\(54\) | −3.24050 | + | 4.06191i | −0.440977 | + | 0.552756i | ||||
\(55\) | 1.76742 | + | 4.72086i | 0.238319 | + | 0.636560i | ||||
\(56\) | 0.645021i | 0.0861945i | ||||||||
\(57\) | −7.54900 | − | 0.112148i | −0.999890 | − | 0.0148544i | ||||
\(58\) | 5.63006 | − | 5.63006i | 0.739262 | − | 0.739262i | ||||
\(59\) | −0.503211 | − | 2.85385i | −0.0655125 | − | 0.371540i | −0.999884 | − | 0.0152392i | \(-0.995149\pi\) |
0.934371 | − | 0.356301i | \(-0.115962\pi\) | |||||||
\(60\) | 0.627965 | + | 3.82174i | 0.0810700 | + | 0.493384i | ||||
\(61\) | 9.92362 | − | 3.61190i | 1.27059 | − | 0.462457i | 0.383280 | − | 0.923632i | \(-0.374794\pi\) |
0.887309 | + | 0.461175i | \(0.152572\pi\) | |||||||
\(62\) | −3.07567 | + | 1.43421i | −0.390610 | + | 0.182144i | ||||
\(63\) | 1.88837 | − | 0.422514i | 0.237913 | − | 0.0532318i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | −0.680967 | + | 8.70135i | −0.0844635 | + | 1.07927i | ||||
\(66\) | −0.421293 | + | 3.88184i | −0.0518576 | + | 0.477821i | ||||
\(67\) | −0.903262 | + | 0.632471i | −0.110351 | + | 0.0772686i | −0.627449 | − | 0.778657i | \(-0.715901\pi\) |
0.517098 | + | 0.855926i | \(0.327012\pi\) | |||||||
\(68\) | 1.36748 | − | 5.10350i | 0.165831 | − | 0.618890i | ||||
\(69\) | −1.37569 | + | 2.79651i | −0.165614 | + | 0.336660i | ||||
\(70\) | 0.709676 | − | 1.25563i | 0.0848225 | − | 0.150077i | ||||
\(71\) | 0.913572 | − | 2.51002i | 0.108421 | − | 0.297885i | −0.873603 | − | 0.486639i | \(-0.838223\pi\) |
0.982024 | + | 0.188754i | \(0.0604450\pi\) | |||||||
\(72\) | −0.896526 | + | 2.86291i | −0.105657 | + | 0.337397i | ||||
\(73\) | −0.670093 | + | 7.65920i | −0.0784284 | + | 0.896441i | 0.850450 | + | 0.526056i | \(0.176330\pi\) |
−0.928878 | + | 0.370385i | \(0.879226\pi\) | |||||||
\(74\) | −0.211222 | − | 1.19790i | −0.0245541 | − | 0.139253i | ||||
\(75\) | 2.98238 | − | 8.13052i | 0.344376 | − | 0.938832i | ||||
\(76\) | −4.08703 | + | 1.51532i | −0.468814 | + | 0.173819i | ||||
\(77\) | 1.02820 | − | 1.02820i | 0.117174 | − | 0.117174i | ||||
\(78\) | −3.50159 | + | 5.78318i | −0.396478 | + | 0.654816i | ||||
\(79\) | 6.38417 | + | 7.60836i | 0.718276 | + | 0.856008i | 0.994462 | − | 0.105097i | \(-0.0335152\pi\) |
−0.276186 | + | 0.961104i | \(0.589071\pi\) | |||||||
\(80\) | 1.13574 | + | 1.92616i | 0.126979 | + | 0.215352i | ||||
\(81\) | 8.96875 | + | 0.749363i | 0.996528 | + | 0.0832626i | ||||
\(82\) | 0.514413 | + | 5.87977i | 0.0568075 | + | 0.649312i | ||||
\(83\) | 2.78606 | − | 0.746524i | 0.305810 | − | 0.0819416i | −0.102651 | − | 0.994717i | \(-0.532732\pi\) |
0.408461 | + | 0.912776i | \(0.366066\pi\) | |||||||
\(84\) | 0.928318 | − | 0.621595i | 0.101288 | − | 0.0678216i | ||||
\(85\) | −8.27708 | + | 8.43022i | −0.897775 | + | 0.914385i | ||||
\(86\) | 9.38880 | + | 1.65550i | 1.01242 | + | 0.178517i | ||||
\(87\) | −13.5284 | − | 2.67723i | −1.45040 | − | 0.287029i | ||||
\(88\) | 0.583466 | + | 2.17753i | 0.0621977 | + | 0.232125i | ||||
\(89\) | 8.24773 | + | 6.92067i | 0.874258 | + | 0.733589i | 0.964990 | − | 0.262286i | \(-0.0844764\pi\) |
−0.0907326 | + | 0.995875i | \(0.528921\pi\) | |||||||
\(90\) | 4.89511 | − | 4.58671i | 0.515990 | − | 0.483482i | ||||
\(91\) | 2.36585 | − | 0.861099i | 0.248008 | − | 0.0902677i | ||||
\(92\) | −0.156824 | + | 1.79250i | −0.0163500 | + | 0.186882i | ||||
\(93\) | 5.02809 | + | 3.04440i | 0.521388 | + | 0.315690i | ||||
\(94\) | 11.9999i | 1.23770i | ||||||||
\(95\) | 9.62326 | + | 1.54690i | 0.987326 | + | 0.158708i | ||||
\(96\) | 0.114970 | + | 1.72823i | 0.0117341 | + | 0.176387i | ||||
\(97\) | 7.15107 | − | 10.2128i | 0.726081 | − | 1.03695i | −0.271147 | − | 0.962538i | \(-0.587403\pi\) |
0.997228 | − | 0.0744128i | \(-0.0237083\pi\) | |||||||
\(98\) | 6.55889 | + | 0.573829i | 0.662548 | + | 0.0579655i | ||||
\(99\) | 5.99276 | − | 3.13453i | 0.602295 | − | 0.315032i | ||||
\(100\) | −0.0916525 | − | 4.99916i | −0.00916525 | − | 0.499916i | ||||
\(101\) | −9.86216 | + | 11.7533i | −0.981322 | + | 1.16949i | 0.00420761 | + | 0.999991i | \(0.498661\pi\) |
−0.985530 | + | 0.169503i | \(0.945784\pi\) | |||||||
\(102\) | −8.66281 | + | 2.95007i | −0.857746 | + | 0.292100i | ||||
\(103\) | 6.31115 | + | 1.69107i | 0.621856 | + | 0.166626i | 0.555971 | − | 0.831202i | \(-0.312346\pi\) |
0.0658844 | + | 0.997827i | \(0.479013\pi\) | |||||||
\(104\) | −0.677794 | + | 3.84396i | −0.0664632 | + | 0.376931i | ||||
\(105\) | −2.49102 | + | 0.188662i | −0.243099 | + | 0.0184115i | ||||
\(106\) | 3.36981 | + | 5.83668i | 0.327305 | + | 0.566908i | ||||
\(107\) | −0.401690 | − | 1.49913i | −0.0388329 | − | 0.144926i | 0.943788 | − | 0.330553i | \(-0.107235\pi\) |
−0.982620 | + | 0.185627i | \(0.940569\pi\) | |||||||
\(108\) | 4.98428 | − | 1.46865i | 0.479613 | − | 0.141321i | ||||
\(109\) | 6.38903 | − | 17.5537i | 0.611958 | − | 1.68134i | −0.113895 | − | 0.993493i | \(-0.536333\pi\) |
0.725854 | − | 0.687849i | \(-0.241445\pi\) | |||||||
\(110\) | 1.25999 | − | 4.88085i | 0.120135 | − | 0.465371i | ||||
\(111\) | −1.52048 | + | 1.45839i | −0.144317 | + | 0.138424i | ||||
\(112\) | 0.369969 | − | 0.528370i | 0.0349588 | − | 0.0499263i | ||||
\(113\) | −11.9645 | − | 11.9645i | −1.12552 | − | 1.12552i | −0.990896 | − | 0.134627i | \(-0.957016\pi\) |
−0.134627 | − | 0.990896i | \(-0.542984\pi\) | |||||||
\(114\) | 6.11945 | + | 4.42180i | 0.573139 | + | 0.414139i | ||||
\(115\) | 2.27746 | − | 3.31685i | 0.212375 | − | 0.309298i | ||||
\(116\) | −7.84114 | + | 1.38260i | −0.728031 | + | 0.128372i | ||||
\(117\) | 11.6976 | − | 0.533628i | 1.08144 | − | 0.0493339i | ||||
\(118\) | −1.22470 | + | 2.62637i | −0.112742 | + | 0.241777i | ||||
\(119\) | 3.20246 | + | 1.16560i | 0.293569 | + | 0.106850i | ||||
\(120\) | 1.67766 | − | 3.49077i | 0.153149 | − | 0.318662i | ||||
\(121\) | −2.95898 | + | 5.12510i | −0.268998 | + | 0.465918i | ||||
\(122\) | −10.2007 | − | 2.73326i | −0.923524 | − | 0.247458i | ||||
\(123\) | 7.96648 | − | 6.40658i | 0.718313 | − | 0.577662i | ||||
\(124\) | 3.34207 | + | 0.589296i | 0.300126 | + | 0.0529204i | ||||
\(125\) | −5.32185 | + | 9.83249i | −0.476001 | + | 0.879445i | ||||
\(126\) | −1.78921 | − | 0.737022i | −0.159395 | − | 0.0656592i | ||||
\(127\) | 1.87817 | + | 21.4676i | 0.166661 | + | 1.90494i | 0.375221 | + | 0.926935i | \(0.377567\pi\) |
−0.208560 | + | 0.978010i | \(0.566878\pi\) | |||||||
\(128\) | 0.422618 | + | 0.906308i | 0.0373545 | + | 0.0801070i | ||||
\(129\) | −6.66522 | − | 15.1078i | −0.586840 | − | 1.33017i | ||||
\(130\) | 5.54870 | − | 6.73714i | 0.486654 | − | 0.590886i | ||||
\(131\) | 15.1877 | − | 2.67801i | 1.32696 | − | 0.233979i | 0.535155 | − | 0.844754i | \(-0.320253\pi\) |
0.791804 | + | 0.610775i | \(0.209142\pi\) | |||||||
\(132\) | 2.57163 | − | 2.93817i | 0.223832 | − | 0.255735i | ||||
\(133\) | −0.743931 | − | 2.71137i | −0.0645070 | − | 0.235106i | ||||
\(134\) | 1.10268 | 0.0952570 | ||||||||
\(135\) | −11.3186 | − | 2.62494i | −0.974146 | − | 0.225919i | ||||
\(136\) | −4.04742 | + | 3.39619i | −0.347063 | + | 0.291221i | ||||
\(137\) | −3.20232 | + | 6.86740i | −0.273593 | + | 0.586722i | −0.994312 | − | 0.106505i | \(-0.966034\pi\) |
0.720719 | + | 0.693227i | \(0.243812\pi\) | |||||||
\(138\) | 2.73091 | − | 1.50170i | 0.232471 | − | 0.127833i | ||||
\(139\) | 6.36386 | − | 7.58415i | 0.539775 | − | 0.643279i | −0.425362 | − | 0.905023i | \(-0.639853\pi\) |
0.965137 | + | 0.261744i | \(0.0842977\pi\) | |||||||
\(140\) | −1.30154 | + | 0.621502i | −0.110000 | + | 0.0525265i | ||||
\(141\) | 17.2704 | − | 11.5641i | 1.45443 | − | 0.973876i | ||||
\(142\) | −2.18804 | + | 1.53208i | −0.183616 | + | 0.128570i | ||||
\(143\) | 7.20795 | − | 5.04706i | 0.602759 | − | 0.422056i | ||||
\(144\) | 2.37649 | − | 1.83093i | 0.198041 | − | 0.152578i | ||||
\(145\) | 16.7852 | + | 5.93566i | 1.39394 | + | 0.492930i | ||||
\(146\) | 4.94204 | − | 5.88970i | 0.409006 | − | 0.487435i | ||||
\(147\) | −5.49483 | − | 9.99259i | −0.453206 | − | 0.824175i | ||||
\(148\) | −0.514065 | + | 1.10242i | −0.0422558 | + | 0.0906180i | ||||
\(149\) | −5.53219 | + | 4.64206i | −0.453214 | + | 0.380292i | −0.840627 | − | 0.541614i | \(-0.817813\pi\) |
0.387413 | + | 0.921906i | \(0.373369\pi\) | |||||||
\(150\) | −7.10650 | + | 4.94951i | −0.580243 | + | 0.404126i | ||||
\(151\) | 2.04942 | 0.166780 | 0.0833898 | − | 0.996517i | \(-0.473425\pi\) | ||||
0.0833898 | + | 0.996517i | \(0.473425\pi\) | |||||||
\(152\) | 4.21705 | + | 1.10295i | 0.342048 | + | 0.0894609i | ||||
\(153\) | 12.5940 | + | 9.62464i | 1.01816 | + | 0.778106i | ||||
\(154\) | −1.43201 | + | 0.252501i | −0.115394 | + | 0.0203471i | ||||
\(155\) | −5.85749 | − | 4.82423i | −0.470485 | − | 0.387491i | ||||
\(156\) | 6.18543 | − | 2.72887i | 0.495231 | − | 0.218485i | ||||
\(157\) | −1.93976 | − | 4.15984i | −0.154810 | − | 0.331991i | 0.813572 | − | 0.581465i | \(-0.197520\pi\) |
−0.968382 | + | 0.249474i | \(0.919742\pi\) | |||||||
\(158\) | −0.865632 | − | 9.89422i | −0.0688660 | − | 0.787142i | ||||
\(159\) | 5.15277 | − | 10.4746i | 0.408641 | − | 0.830686i | ||||
\(160\) | 0.174461 | − | 2.22925i | 0.0137924 | − | 0.176238i | ||||
\(161\) | −1.14299 | − | 0.201539i | −0.0900800 | − | 0.0158835i | ||||
\(162\) | −6.91695 | − | 5.75811i | −0.543447 | − | 0.452399i | ||||
\(163\) | −0.883695 | − | 0.236785i | −0.0692163 | − | 0.0185465i | 0.224045 | − | 0.974579i | \(-0.428074\pi\) |
−0.293261 | + | 0.956032i | \(0.594740\pi\) | |||||||
\(164\) | 2.95112 | − | 5.11148i | 0.230443 | − | 0.399140i | ||||
\(165\) | −8.23878 | + | 2.89020i | −0.641388 | + | 0.225002i | ||||
\(166\) | −2.71040 | − | 0.986504i | −0.210368 | − | 0.0765676i | ||||
\(167\) | −2.69623 | + | 5.78208i | −0.208640 | + | 0.447430i | −0.982583 | − | 0.185825i | \(-0.940504\pi\) |
0.773943 | + | 0.633256i | \(0.218282\pi\) | |||||||
\(168\) | −1.11697 | − | 0.0232807i | −0.0861758 | − | 0.00179614i | ||||
\(169\) | 2.20148 | − | 0.388181i | 0.169345 | − | 0.0298600i | ||||
\(170\) | 11.6156 | − | 2.15809i | 0.890873 | − | 0.165518i | ||||
\(171\) | 0.466670 | − | 13.0684i | 0.0356871 | − | 0.999363i | ||||
\(172\) | −6.74130 | − | 6.74130i | −0.514020 | − | 0.514020i | ||||
\(173\) | 0.504515 | − | 0.720522i | 0.0383576 | − | 0.0547803i | −0.799515 | − | 0.600646i | \(-0.794910\pi\) |
0.837873 | + | 0.545866i | \(0.183799\pi\) | |||||||
\(174\) | 9.54622 | + | 9.95263i | 0.723697 | + | 0.754507i | ||||
\(175\) | 3.21744 | + | 0.222146i | 0.243216 | + | 0.0167927i | ||||
\(176\) | 0.771030 | − | 2.11839i | 0.0581186 | − | 0.159679i | ||||
\(177\) | 4.96011 | − | 0.768394i | 0.372824 | − | 0.0577560i | ||||
\(178\) | −2.78661 | − | 10.3998i | −0.208865 | − | 0.779497i | ||||
\(179\) | 0.381156 | + | 0.660181i | 0.0284889 | + | 0.0493442i | 0.879918 | − | 0.475125i | \(-0.157597\pi\) |
−0.851429 | + | 0.524469i | \(0.824264\pi\) | |||||||
\(180\) | −6.64067 | + | 0.949494i | −0.494966 | + | 0.0707711i | ||||
\(181\) | −1.23867 | + | 7.02486i | −0.0920698 | + | 0.522154i | 0.903536 | + | 0.428512i | \(0.140962\pi\) |
−0.995606 | + | 0.0936418i | \(0.970149\pi\) | |||||||
\(182\) | −2.43190 | − | 0.651625i | −0.180264 | − | 0.0483016i | ||||
\(183\) | 5.89647 | + | 17.3148i | 0.435879 | + | 1.27995i | ||||
\(184\) | 1.15660 | − | 1.37838i | 0.0852658 | − | 0.101616i | ||||
\(185\) | 2.21363 | − | 1.58043i | 0.162749 | − | 0.116196i | ||||
\(186\) | −2.37257 | − | 5.37782i | −0.173965 | − | 0.394321i | ||||
\(187\) | 11.8656 | + | 1.03810i | 0.867695 | + | 0.0759135i | ||||
\(188\) | 6.88289 | − | 9.82978i | 0.501986 | − | 0.716910i | ||||
\(189\) | 0.663500 | + | 3.28530i | 0.0482626 | + | 0.238970i | ||||
\(190\) | −6.99565 | − | 6.78682i | −0.507518 | − | 0.492368i | ||||
\(191\) | 3.46336i | 0.250600i | 0.992119 | + | 0.125300i | \(0.0399893\pi\) | ||||
−0.992119 | + | 0.125300i | \(0.960011\pi\) | |||||||
\(192\) | 0.897095 | − | 1.48163i | 0.0647422 | − | 0.106927i | ||||
\(193\) | 1.46640 | − | 16.7610i | 0.105554 | − | 1.20648i | −0.740005 | − | 0.672601i | \(-0.765177\pi\) |
0.845559 | − | 0.533882i | \(-0.179267\pi\) | |||||||
\(194\) | −11.7156 | + | 4.26414i | −0.841133 | + | 0.306147i | ||||
\(195\) | −15.0433 | − | 1.49327i | −1.07728 | − | 0.106935i | ||||
\(196\) | −5.04360 | − | 4.23208i | −0.360257 | − | 0.302291i | ||||
\(197\) | 6.56020 | + | 24.4830i | 0.467395 | + | 1.74434i | 0.648826 | + | 0.760937i | \(0.275260\pi\) |
−0.181431 | + | 0.983404i | \(0.558073\pi\) | |||||||
\(198\) | −6.70687 | − | 0.869650i | −0.476637 | − | 0.0618033i | ||||
\(199\) | −19.7898 | − | 3.48947i | −1.40286 | − | 0.247362i | −0.579541 | − | 0.814943i | \(-0.696768\pi\) |
−0.823317 | + | 0.567581i | \(0.807879\pi\) | |||||||
\(200\) | −2.79232 | + | 4.14764i | −0.197447 | + | 0.293283i | ||||
\(201\) | −1.06263 | − | 1.58698i | −0.0749523 | − | 0.111937i | ||||
\(202\) | 14.8200 | − | 3.97101i | 1.04273 | − | 0.279399i | ||||
\(203\) | −0.447608 | − | 5.11618i | −0.0314159 | − | 0.359085i | ||||
\(204\) | 8.78825 | + | 2.55223i | 0.615300 | + | 0.178692i | ||||
\(205\) | −11.3687 | + | 6.70338i | −0.794022 | + | 0.468184i | ||||
\(206\) | −4.19983 | − | 5.00516i | −0.292616 | − | 0.348726i | ||||
\(207\) | −4.79299 | − | 2.48319i | −0.333136 | − | 0.172593i | ||||
\(208\) | 2.76002 | − | 2.76002i | 0.191373 | − | 0.191373i | ||||
\(209\) | −4.96406 | − | 8.48039i | −0.343371 | − | 0.586601i | ||||
\(210\) | 2.14874 | + | 1.27425i | 0.148277 | + | 0.0879315i | ||||
\(211\) | −1.27493 | − | 7.23047i | −0.0877696 | − | 0.497766i | −0.996725 | − | 0.0808716i | \(-0.974230\pi\) |
0.908955 | − | 0.416894i | \(-0.136881\pi\) | |||||||
\(212\) | 0.587396 | − | 6.71397i | 0.0403425 | − | 0.461117i | ||||
\(213\) | 4.31356 | + | 1.67260i | 0.295561 | + | 0.114605i | ||||
\(214\) | −0.530819 | + | 1.45841i | −0.0362861 | + | 0.0996951i | ||||
\(215\) | 5.70597 | + | 20.5400i | 0.389144 | + | 1.40082i | ||||
\(216\) | −4.92527 | − | 1.65582i | −0.335122 | − | 0.112664i | ||||
\(217\) | −0.566544 | + | 2.11437i | −0.0384595 | + | 0.143533i | ||||
\(218\) | −15.3020 | + | 10.7146i | −1.03638 | + | 0.725682i | ||||
\(219\) | −13.2391 | − | 1.43683i | −0.894612 | − | 0.0970917i | ||||
\(220\) | −3.83166 | + | 3.27546i | −0.258330 | + | 0.220831i | ||||
\(221\) | 17.8600 | + | 10.3115i | 1.20140 | + | 0.693627i | ||||
\(222\) | 2.08200 | − | 0.322532i | 0.139735 | − | 0.0216470i | ||||
\(223\) | 6.17483 | − | 2.87937i | 0.413497 | − | 0.192817i | −0.204726 | − | 0.978819i | \(-0.565630\pi\) |
0.618224 | + | 0.786002i | \(0.287853\pi\) | |||||||
\(224\) | −0.606121 | + | 0.220610i | −0.0404982 | + | 0.0147401i | ||||
\(225\) | 13.9718 | + | 5.45797i | 0.931452 | + | 0.363865i | ||||
\(226\) | 2.93818 | + | 16.6633i | 0.195445 | + | 1.10842i | ||||
\(227\) | 3.24195 | − | 3.24195i | 0.215176 | − | 0.215176i | −0.591286 | − | 0.806462i | \(-0.701380\pi\) |
0.806462 | + | 0.591286i | \(0.201380\pi\) | |||||||
\(228\) | −2.47653 | − | 7.13210i | −0.164012 | − | 0.472335i | ||||
\(229\) | 5.61131i | 0.370806i | 0.982663 | + | 0.185403i | \(0.0593590\pi\) | ||||
−0.982663 | + | 0.185403i | \(0.940641\pi\) | |||||||
\(230\) | −3.76806 | + | 1.41070i | −0.248458 | + | 0.0930191i | ||||
\(231\) | 1.74340 | + | 1.81762i | 0.114707 | + | 0.119591i | ||||
\(232\) | 7.21611 | + | 3.36493i | 0.473761 | + | 0.220918i | ||||
\(233\) | 2.03363 | + | 4.36113i | 0.133227 | + | 0.285707i | 0.961592 | − | 0.274482i | \(-0.0885064\pi\) |
−0.828365 | + | 0.560189i | \(0.810729\pi\) | |||||||
\(234\) | −9.88820 | − | 6.27235i | −0.646412 | − | 0.410037i | ||||
\(235\) | −24.2137 | + | 11.5624i | −1.57953 | + | 0.754248i | ||||
\(236\) | 2.50964 | − | 1.44894i | 0.163363 | − | 0.0943179i | ||||
\(237\) | −13.4056 | + | 10.7807i | −0.870789 | + | 0.700282i | ||||
\(238\) | −1.95474 | − | 2.79166i | −0.126707 | − | 0.180956i | ||||
\(239\) | −3.13164 | − | 5.42416i | −0.202569 | − | 0.350860i | 0.746786 | − | 0.665064i | \(-0.231596\pi\) |
−0.949355 | + | 0.314204i | \(0.898262\pi\) | |||||||
\(240\) | −3.37648 | + | 1.89720i | −0.217951 | + | 0.122464i | ||||
\(241\) | 12.0375 | + | 10.1007i | 0.775405 | + | 0.650642i | 0.942087 | − | 0.335369i | \(-0.108861\pi\) |
−0.166682 | + | 0.986011i | \(0.553305\pi\) | |||||||
\(242\) | 5.36348 | − | 2.50103i | 0.344778 | − | 0.160773i | ||||
\(243\) | −1.62136 | + | 15.5039i | −0.104010 | + | 0.994576i | ||||
\(244\) | 6.78816 | + | 8.08981i | 0.434567 | + | 0.517897i | ||||
\(245\) | 5.16186 | + | 13.7876i | 0.329779 | + | 0.880855i | ||||
\(246\) | −10.2004 | + | 0.678578i | −0.650355 | + | 0.0432646i | ||||
\(247\) | −1.58427 | − | 16.9400i | −0.100805 | − | 1.07787i | ||||
\(248\) | −2.39965 | − | 2.39965i | −0.152378 | − | 0.152378i | ||||
\(249\) | 1.19218 | + | 4.85150i | 0.0755513 | + | 0.307451i | ||||
\(250\) | 9.99909 | − | 5.00182i | 0.632398 | − | 0.316343i | ||||
\(251\) | 7.68569 | + | 21.1163i | 0.485117 | + | 1.33285i | 0.905055 | + | 0.425294i | \(0.139829\pi\) |
−0.419938 | + | 0.907553i | \(0.637948\pi\) | |||||||
\(252\) | 1.04289 | + | 1.62998i | 0.0656962 | + | 0.102679i | ||||
\(253\) | −4.04092 | + | 0.353534i | −0.254050 | + | 0.0222265i | ||||
\(254\) | 10.7748 | − | 18.6625i | 0.676072 | − | 1.17099i | ||||
\(255\) | −14.2996 | − | 14.6375i | −0.895479 | − | 0.916634i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −7.65718 | − | 10.9356i | −0.477642 | − | 0.682144i | 0.505947 | − | 0.862564i | \(-0.331143\pi\) |
−0.983590 | + | 0.180421i | \(0.942254\pi\) | |||||||
\(258\) | −3.20566 | + | 16.1986i | −0.199575 | + | 1.00848i | ||||
\(259\) | −0.679476 | − | 0.392295i | −0.0422206 | − | 0.0243760i | ||||
\(260\) | −8.40950 | + | 2.33614i | −0.521535 | + | 0.144881i | ||||
\(261\) | 5.12437 | − | 23.3302i | 0.317191 | − | 1.44410i | ||||
\(262\) | −13.9771 | − | 6.51763i | −0.863509 | − | 0.402661i | ||||
\(263\) | −14.9447 | − | 1.30749i | −0.921527 | − | 0.0806232i | −0.383491 | − | 0.923545i | \(-0.625278\pi\) |
−0.538037 | + | 0.842922i | \(0.680834\pi\) | |||||||
\(264\) | −3.79182 | + | 0.931780i | −0.233371 | + | 0.0573471i | ||||
\(265\) | −8.53042 | + | 12.4235i | −0.524020 | + | 0.763171i | ||||
\(266\) | −0.945788 | + | 2.64773i | −0.0579900 | + | 0.162343i | ||||
\(267\) | −12.2820 | + | 14.0326i | −0.751648 | + | 0.858781i | ||||
\(268\) | −0.903262 | − | 0.632471i | −0.0551755 | − | 0.0386343i | ||||
\(269\) | −5.21106 | + | 4.37260i | −0.317724 | + | 0.266602i | −0.787676 | − | 0.616090i | \(-0.788716\pi\) |
0.469952 | + | 0.882692i | \(0.344271\pi\) | |||||||
\(270\) | 7.76601 | + | 8.64228i | 0.472624 | + | 0.525953i | ||||
\(271\) | −20.7816 | − | 7.56389i | −1.26239 | − | 0.459474i | −0.377822 | − | 0.925878i | \(-0.623327\pi\) |
−0.884572 | + | 0.466404i | \(0.845549\pi\) | |||||||
\(272\) | 5.26343 | − | 0.460490i | 0.319142 | − | 0.0279213i | ||||
\(273\) | 1.40575 | + | 4.12796i | 0.0850800 | + | 0.249836i | ||||
\(274\) | 6.56217 | − | 3.78867i | 0.396435 | − | 0.228882i | ||||
\(275\) | 11.0627 | − | 2.16046i | 0.667107 | − | 0.130281i | ||||
\(276\) | −3.09838 | − | 0.336265i | −0.186500 | − | 0.0202408i | ||||
\(277\) | −0.897062 | + | 3.34788i | −0.0538993 | + | 0.201155i | −0.987625 | − | 0.156835i | \(-0.949871\pi\) |
0.933726 | + | 0.357990i | \(0.116538\pi\) | |||||||
\(278\) | −9.56305 | + | 2.56241i | −0.573554 | + | 0.153683i | ||||
\(279\) | −5.45339 | + | 8.59713i | −0.326486 | + | 0.514697i | ||||
\(280\) | 1.42263 | + | 0.237425i | 0.0850187 | + | 0.0141889i | ||||
\(281\) | 4.01632 | + | 11.0347i | 0.239594 | + | 0.658278i | 0.999961 | + | 0.00878513i | \(0.00279643\pi\) |
−0.760368 | + | 0.649493i | \(0.774981\pi\) | |||||||
\(282\) | −20.7800 | − | 0.433113i | −1.23743 | − | 0.0257915i | ||||
\(283\) | 0.0175905 | + | 0.0123170i | 0.00104564 | + | 0.000732168i | 0.574099 | − | 0.818786i | \(-0.305352\pi\) |
−0.573053 | + | 0.819518i | \(0.694241\pi\) | |||||||
\(284\) | 2.67111 | 0.158501 | ||||||||
\(285\) | −3.02606 | + | 16.6085i | −0.179248 | + | 0.983804i | ||||
\(286\) | −8.79928 | −0.520312 | ||||||||
\(287\) | 3.11856 | + | 2.18364i | 0.184083 | + | 0.128896i | ||||
\(288\) | −2.99688 | + | 0.136713i | −0.176593 | + | 0.00805591i | ||||
\(289\) | 3.73339 | + | 10.2574i | 0.219611 | + | 0.603377i | ||||
\(290\) | −10.3451 | − | 14.4898i | −0.607484 | − | 0.850871i | ||||
\(291\) | 17.4271 | + | 12.7519i | 1.02160 | + | 0.747531i | ||||
\(292\) | −7.42648 | + | 1.98992i | −0.434602 | + | 0.116451i | ||||
\(293\) | −2.75430 | + | 10.2792i | −0.160908 | + | 0.600516i | 0.837619 | + | 0.546255i | \(0.183947\pi\) |
−0.998527 | + | 0.0542612i | \(0.982720\pi\) | |||||||
\(294\) | −1.23041 | + | 11.3372i | −0.0717592 | + | 0.661197i | ||||
\(295\) | −6.47958 | + | 0.0593920i | −0.377256 | + | 0.00345793i | ||||
\(296\) | 1.05342 | − | 0.608190i | 0.0612286 | − | 0.0353503i | ||||
\(297\) | 5.21169 | + | 10.4906i | 0.302413 | + | 0.608729i | ||||
\(298\) | 7.19428 | − | 0.629418i | 0.416753 | − | 0.0364612i | ||||
\(299\) | −6.59978 | − | 2.40212i | −0.381675 | − | 0.138918i | ||||
\(300\) | 8.66023 | + | 0.0217219i | 0.499998 | + | 0.00125412i | ||||
\(301\) | 4.71071 | − | 3.95276i | 0.271521 | − | 0.227833i | ||||
\(302\) | −1.67879 | − | 1.17550i | −0.0966034 | − | 0.0676424i | ||||
\(303\) | −19.9969 | − | 17.5023i | −1.14879 | − | 1.00548i | ||||
\(304\) | −2.82178 | − | 3.32228i | −0.161840 | − | 0.190546i | ||||
\(305\) | −4.31350 | − | 23.2167i | −0.246990 | − | 1.32938i | ||||
\(306\) | −4.79589 | − | 15.1076i | −0.274163 | − | 0.863646i | ||||
\(307\) | 16.1427 | + | 1.41230i | 0.921312 | + | 0.0806044i | 0.537934 | − | 0.842987i | \(-0.319205\pi\) |
0.383378 | + | 0.923591i | \(0.374761\pi\) | |||||||
\(308\) | 1.31786 | + | 0.614528i | 0.0750920 | + | 0.0350160i | ||||
\(309\) | −3.15616 | + | 10.8678i | −0.179548 | + | 0.618248i | ||||
\(310\) | 2.03112 | + | 7.31150i | 0.115360 | + | 0.415265i | ||||
\(311\) | −22.5423 | − | 13.0148i | −1.27826 | − | 0.738003i | −0.301730 | − | 0.953393i | \(-0.597564\pi\) |
−0.976528 | + | 0.215390i | \(0.930898\pi\) | |||||||
\(312\) | −6.63203 | − | 1.31246i | −0.375465 | − | 0.0743033i | ||||
\(313\) | −10.0444 | − | 14.3449i | −0.567744 | − | 0.810822i | 0.427923 | − | 0.903815i | \(-0.359245\pi\) |
−0.995667 | + | 0.0929930i | \(0.970357\pi\) | |||||||
\(314\) | −0.797023 | + | 4.52014i | −0.0449786 | + | 0.255086i | ||||
\(315\) | −0.236793 | − | 4.32045i | −0.0133418 | − | 0.243430i | ||||
\(316\) | −4.96601 | + | 8.60137i | −0.279360 | + | 0.483865i | ||||
\(317\) | −12.6069 | + | 1.10297i | −0.708077 | + | 0.0619487i | −0.435504 | − | 0.900187i | \(-0.643430\pi\) |
−0.272572 | + | 0.962135i | \(0.587874\pi\) | |||||||
\(318\) | −10.2289 | + | 5.62475i | −0.573606 | + | 0.315420i | ||||
\(319\) | −6.13902 | − | 16.8668i | −0.343719 | − | 0.944360i | ||||
\(320\) | −1.42156 | + | 1.72603i | −0.0794674 | + | 0.0964880i | ||||
\(321\) | 2.61050 | − | 0.641489i | 0.145704 | − | 0.0358044i | ||||
\(322\) | 0.820682 | + | 0.820682i | 0.0457348 | + | 0.0457348i | ||||
\(323\) | 13.0965 | − | 18.9441i | 0.728711 | − | 1.05408i | ||||
\(324\) | 2.36332 | + | 8.68416i | 0.131296 | + | 0.482454i | ||||
\(325\) | 18.9407 | + | 4.70479i | 1.05064 | + | 0.260975i | ||||
\(326\) | 0.588066 | + | 0.700830i | 0.0325700 | + | 0.0388154i | ||||
\(327\) | 30.1667 | + | 11.6973i | 1.66822 | + | 0.646862i | ||||
\(328\) | −5.34924 | + | 2.49439i | −0.295362 | + | 0.137730i | ||||
\(329\) | 5.92935 | + | 4.97531i | 0.326896 | + | 0.274298i | ||||
\(330\) | 8.40656 | + | 2.35805i | 0.462766 | + | 0.129806i | ||||
\(331\) | −11.6205 | − | 20.1273i | −0.638722 | − | 1.10630i | −0.985713 | − | 0.168431i | \(-0.946130\pi\) |
0.346991 | − | 0.937868i | \(-0.387203\pi\) | |||||||
\(332\) | 1.65439 | + | 2.36272i | 0.0907966 | + | 0.129671i | ||||
\(333\) | −2.47058 | − | 2.68561i | −0.135387 | − | 0.147170i | ||||
\(334\) | 5.52508 | − | 3.18991i | 0.302319 | − | 0.174544i | ||||
\(335\) | 1.06247 | + | 2.22501i | 0.0580491 | + | 0.121565i | ||||
\(336\) | 0.901612 | + | 0.659736i | 0.0491870 | + | 0.0359915i | ||||
\(337\) | −10.3913 | − | 22.2842i | −0.566050 | − | 1.21390i | −0.956083 | − | 0.293097i | \(-0.905314\pi\) |
0.390033 | − | 0.920801i | \(-0.372464\pi\) | |||||||
\(338\) | −2.02600 | − | 0.944739i | −0.110200 | − | 0.0513870i | ||||
\(339\) | 21.1504 | − | 20.2868i | 1.14873 | − | 1.10183i | ||||
\(340\) | −10.7527 | − | 4.89460i | −0.583149 | − | 0.265447i | ||||
\(341\) | 7.65038i | 0.414291i | ||||||||
\(342\) | −7.87798 | + | 10.4373i | −0.425992 | + | 0.564385i | ||||
\(343\) | 6.19562 | − | 6.19562i | 0.334532 | − | 0.334532i | ||||
\(344\) | 1.65550 | + | 9.38880i | 0.0892586 | + | 0.506210i | ||||
\(345\) | 5.66151 | + | 4.06354i | 0.304805 | + | 0.218774i | ||||
\(346\) | −0.826549 | + | 0.300839i | −0.0444356 | + | 0.0161732i | ||||
\(347\) | 31.4222 | − | 14.6524i | 1.68683 | − | 0.786582i | 0.688728 | − | 0.725020i | \(-0.258170\pi\) |
0.998103 | − | 0.0615619i | \(-0.0196082\pi\) | |||||||
\(348\) | −2.11121 | − | 13.6282i | −0.113173 | − | 0.730548i | ||||
\(349\) | −10.0863 | − | 5.82330i | −0.539905 | − | 0.311714i | 0.205135 | − | 0.978734i | \(-0.434237\pi\) |
−0.745040 | + | 0.667019i | \(0.767570\pi\) | |||||||
\(350\) | −2.50816 | − | 2.02742i | −0.134067 | − | 0.108370i | ||||
\(351\) | 0.501869 | + | 20.2757i | 0.0267878 | + | 1.08224i | ||||
\(352\) | −1.84665 | + | 1.29304i | −0.0984266 | + | 0.0689191i | ||||
\(353\) | 0.104267 | − | 0.389130i | 0.00554958 | − | 0.0207113i | −0.963096 | − | 0.269160i | \(-0.913254\pi\) |
0.968645 | + | 0.248449i | \(0.0799207\pi\) | |||||||
\(354\) | −4.50381 | − | 2.21557i | −0.239375 | − | 0.117756i | ||||
\(355\) | −5.19973 | − | 2.93885i | −0.275973 | − | 0.155978i | ||||
\(356\) | −3.68241 | + | 10.1173i | −0.195167 | + | 0.536218i | ||||
\(357\) | −2.13403 | + | 5.50355i | −0.112945 | + | 0.291279i | ||||
\(358\) | 0.0664398 | − | 0.759410i | 0.00351145 | − | 0.0401361i | ||||
\(359\) | 0.685897 | + | 3.88991i | 0.0362002 | + | 0.205302i | 0.997543 | − | 0.0700514i | \(-0.0223163\pi\) |
−0.961343 | + | 0.275353i | \(0.911205\pi\) | |||||||
\(360\) | 5.98432 | + | 3.03115i | 0.315402 | + | 0.159756i | ||||
\(361\) | −18.9986 | + | 0.227418i | −0.999928 | + | 0.0119694i | ||||
\(362\) | 5.04395 | − | 5.04395i | 0.265104 | − | 0.265104i | ||||
\(363\) | −8.76820 | − | 5.30896i | −0.460211 | − | 0.278648i | ||||
\(364\) | 1.61834 | + | 1.92866i | 0.0848239 | + | 0.101089i | ||||
\(365\) | 16.6462 | + | 4.29720i | 0.871301 | + | 0.224926i | ||||
\(366\) | 5.10128 | − | 17.5656i | 0.266648 | − | 0.918167i | ||||
\(367\) | 1.61808 | + | 18.4947i | 0.0844631 | + | 0.965417i | 0.913665 | + | 0.406468i | \(0.133240\pi\) |
−0.829202 | + | 0.558949i | \(0.811205\pi\) | |||||||
\(368\) | −1.73804 | + | 0.465707i | −0.0906016 | + | 0.0242766i | ||||
\(369\) | 10.8066 | + | 14.0266i | 0.562568 | + | 0.730195i | ||||
\(370\) | −2.71980 | + | 0.0249297i | −0.141395 | + | 0.00129603i | ||||
\(371\) | 4.28115 | + | 0.754882i | 0.222266 | + | 0.0391915i | ||||
\(372\) | −1.14109 | + | 5.76610i | −0.0591630 | + | 0.298958i | ||||
\(373\) | −7.35929 | − | 27.4653i | −0.381050 | − | 1.42210i | −0.844301 | − | 0.535870i | \(-0.819984\pi\) |
0.463251 | − | 0.886227i | \(-0.346683\pi\) | |||||||
\(374\) | −9.12426 | − | 7.65616i | −0.471804 | − | 0.395891i | ||||
\(375\) | −16.8346 | − | 9.57059i | −0.869335 | − | 0.494223i | ||||
\(376\) | −11.2763 | + | 4.10422i | −0.581529 | + | 0.211659i | ||||
\(377\) | 2.70864 | − | 30.9599i | 0.139502 | − | 1.59452i | ||||
\(378\) | 1.34086 | − | 3.07173i | 0.0689664 | − | 0.157992i | ||||
\(379\) | 2.58646i | 0.132858i | 0.997791 | + | 0.0664288i | \(0.0211605\pi\) | ||||
−0.997791 | + | 0.0664288i | \(0.978839\pi\) | |||||||
\(380\) | 1.83774 | + | 9.57198i | 0.0942741 | + | 0.491032i | ||||
\(381\) | −37.2428 | + | 2.47756i | −1.90800 | + | 0.126929i | ||||
\(382\) | 1.98650 | − | 2.83702i | 0.101638 | − | 0.145154i | ||||
\(383\) | −1.06873 | − | 0.0935022i | −0.0546098 | − | 0.00477774i | 0.0598181 | − | 0.998209i | \(-0.480948\pi\) |
−0.114428 | + | 0.993432i | \(0.536503\pi\) | |||||||
\(384\) | −1.58468 | + | 0.699126i | −0.0808681 | + | 0.0356771i | ||||
\(385\) | −1.88929 | − | 2.64623i | −0.0962873 | − | 0.134865i | ||||
\(386\) | −10.8149 | + | 12.8887i | −0.550465 | + | 0.656018i | ||||
\(387\) | 26.4024 | − | 10.9967i | 1.34211 | − | 0.558994i | ||||
\(388\) | 12.0427 | + | 3.22683i | 0.611375 | + | 0.163817i | ||||
\(389\) | 4.59279 | − | 26.0470i | 0.232864 | − | 1.32063i | −0.614203 | − | 0.789148i | \(-0.710522\pi\) |
0.847067 | − | 0.531487i | \(-0.178366\pi\) | |||||||
\(390\) | 11.4663 | + | 9.85171i | 0.580617 | + | 0.498861i | ||||
\(391\) | −4.75347 | − | 8.23325i | −0.240393 | − | 0.416373i | ||||
\(392\) | 1.70405 | + | 6.35961i | 0.0860676 | + | 0.321209i | ||||
\(393\) | 4.08927 | + | 26.3969i | 0.206276 | + | 1.33155i | ||||
\(394\) | 8.66906 | − | 23.8181i | 0.436741 | − | 1.19994i | ||||
\(395\) | 19.1307 | − | 11.2801i | 0.962568 | − | 0.567566i | ||||
\(396\) | 4.99514 | + | 4.55928i | 0.251015 | + | 0.229112i | ||||
\(397\) | −2.91122 | + | 4.15765i | −0.146110 | + | 0.208667i | −0.885535 | − | 0.464572i | \(-0.846208\pi\) |
0.739426 | + | 0.673238i | \(0.235097\pi\) | |||||||
\(398\) | 14.2093 | + | 14.2093i | 0.712250 | + | 0.712250i | ||||
\(399\) | 4.72207 | − | 1.19039i | 0.236399 | − | 0.0595938i | ||||
\(400\) | 4.66633 | − | 1.79594i | 0.233316 | − | 0.0897969i | ||||
\(401\) | −19.9655 | + | 3.52046i | −0.997031 | + | 0.175803i | −0.648272 | − | 0.761409i | \(-0.724508\pi\) |
−0.348759 | + | 0.937212i | \(0.613397\pi\) | |||||||
\(402\) | −0.0397989 | + | 1.90948i | −0.00198499 | + | 0.0952363i | ||||
\(403\) | −5.59808 | + | 12.0051i | −0.278860 | + | 0.598018i | ||||
\(404\) | −14.4175 | − | 5.24755i | −0.717298 | − | 0.261075i | ||||
\(405\) | 4.95407 | − | 19.5053i | 0.246170 | − | 0.969227i | ||||
\(406\) | −2.56786 | + | 4.44766i | −0.127441 | + | 0.220734i | ||||
\(407\) | −2.64870 | − | 0.709717i | −0.131291 | − | 0.0351794i | ||||
\(408\) | −5.73501 | − | 7.13139i | −0.283925 | − | 0.353057i | ||||
\(409\) | −25.6324 | − | 4.51968i | −1.26744 | − | 0.223484i | −0.500802 | − | 0.865562i | \(-0.666961\pi\) |
−0.766639 | + | 0.642078i | \(0.778073\pi\) | |||||||
\(410\) | 13.1576 | + | 1.02971i | 0.649806 | + | 0.0508537i | ||||
\(411\) | −11.7765 | − | 5.79324i | −0.580893 | − | 0.285760i | ||||
\(412\) | 0.569456 | + | 6.50892i | 0.0280551 | + | 0.320671i | ||||
\(413\) | 0.789954 | + | 1.69406i | 0.0388711 | + | 0.0833594i | ||||
\(414\) | 2.50189 | + | 4.78326i | 0.122961 | + | 0.235084i | ||||
\(415\) | −0.620985 | − | 6.41963i | −0.0304830 | − | 0.315127i | ||||
\(416\) | −3.84396 | + | 0.677794i | −0.188466 | + | 0.0332316i | ||||
\(417\) | 12.9036 | + | 11.2939i | 0.631891 | + | 0.553063i | ||||
\(418\) | −0.797830 | + | 9.79400i | −0.0390231 | + | 0.479040i | ||||
\(419\) | −32.2336 | −1.57471 | −0.787357 | − | 0.616497i | \(-0.788551\pi\) | ||||
−0.787357 | + | 0.616497i | \(0.788551\pi\) | |||||||
\(420\) | −1.02926 | − | 2.27627i | −0.0502229 | − | 0.111070i | ||||
\(421\) | 11.8279 | − | 9.92481i | 0.576458 | − | 0.483706i | −0.307324 | − | 0.951605i | \(-0.599433\pi\) |
0.883782 | + | 0.467899i | \(0.154989\pi\) | |||||||
\(422\) | −3.10287 | + | 6.65412i | −0.151045 | + | 0.323917i | ||||
\(423\) | 19.4020 | + | 30.3241i | 0.943356 | + | 1.47441i | ||||
\(424\) | −4.33214 | + | 5.16285i | −0.210387 | + | 0.250730i | ||||
\(425\) | 15.5467 | + | 21.3587i | 0.754124 | + | 1.03605i | ||||
\(426\) | −2.57410 | − | 3.84428i | −0.124715 | − | 0.186256i | ||||
\(427\) | −5.57985 | + | 3.90705i | −0.270028 | + | 0.189076i | ||||
\(428\) | 1.27133 | − | 0.890197i | 0.0614522 | − | 0.0430293i | ||||
\(429\) | 8.47971 | + | 12.6640i | 0.409404 | + | 0.611423i | ||||
\(430\) | 7.10723 | − | 20.0982i | 0.342741 | − | 0.969223i | ||||
\(431\) | 4.94569 | − | 5.89404i | 0.238225 | − | 0.283906i | −0.633665 | − | 0.773608i | \(-0.718450\pi\) |
0.871890 | + | 0.489702i | \(0.162894\pi\) | |||||||
\(432\) | 3.08480 | + | 4.18139i | 0.148418 | + | 0.201177i | ||||
\(433\) | −2.85995 | + | 6.13317i | −0.137440 | + | 0.294742i | −0.962966 | − | 0.269623i | \(-0.913101\pi\) |
0.825526 | + | 0.564364i | \(0.190879\pi\) | |||||||
\(434\) | 1.67684 | − | 1.40703i | 0.0804908 | − | 0.0675398i | ||||
\(435\) | −10.8845 | + | 28.8523i | −0.521870 | + | 1.38336i | ||||
\(436\) | 18.6803 | 0.894623 | ||||||||
\(437\) | −3.27208 | + | 7.12806i | −0.156525 | + | 0.340981i | ||||
\(438\) | 10.0207 | + | 8.77059i | 0.478806 | + | 0.419075i | ||||
\(439\) | 33.0916 | − | 5.83495i | 1.57938 | − | 0.278487i | 0.685934 | − | 0.727663i | \(-0.259394\pi\) |
0.893443 | + | 0.449176i | \(0.148283\pi\) | |||||||
\(440\) | 5.01744 | − | 0.485348i | 0.239197 | − | 0.0231381i | ||||
\(441\) | 17.5022 | − | 9.15460i | 0.833440 | − | 0.435933i | ||||
\(442\) | −8.71566 | − | 18.6908i | −0.414562 | − | 0.889030i | ||||
\(443\) | 1.03787 | + | 11.8630i | 0.0493109 | + | 0.563626i | 0.980158 | + | 0.198217i | \(0.0635152\pi\) |
−0.930847 | + | 0.365409i | \(0.880929\pi\) | |||||||
\(444\) | −1.89047 | − | 0.929982i | −0.0897177 | − | 0.0441350i | ||||
\(445\) | 18.2999 | − | 15.6435i | 0.867497 | − | 0.741572i | ||||
\(446\) | −6.70966 | − | 1.18309i | −0.317712 | − | 0.0560212i | ||||
\(447\) | −7.83886 | − | 9.74749i | −0.370765 | − | 0.461041i | ||||
\(448\) | 0.623042 | + | 0.166944i | 0.0294360 | + | 0.00788735i | ||||
\(449\) | 11.3136 | − | 19.5958i | 0.533923 | − | 0.924781i | −0.465292 | − | 0.885157i | \(-0.654051\pi\) |
0.999215 | − | 0.0396238i | \(-0.0126160\pi\) | |||||||
\(450\) | −8.31444 | − | 12.4848i | −0.391947 | − | 0.588539i | ||||
\(451\) | 12.5032 | + | 4.55080i | 0.588753 | + | 0.214289i | ||||
\(452\) | 7.15084 | − | 15.3350i | 0.336347 | − | 0.721299i | ||||
\(453\) | −0.0739696 | + | 3.54893i | −0.00347540 | + | 0.166743i | ||||
\(454\) | −4.51516 | + | 0.796145i | −0.211907 | + | 0.0373649i | ||||
\(455\) | −1.02836 | − | 5.53499i | −0.0482105 | − | 0.259484i | ||||
\(456\) | −2.06215 | + | 7.26275i | −0.0965691 | + | 0.340109i | ||||
\(457\) | 8.37701 | + | 8.37701i | 0.391860 | + | 0.391860i | 0.875350 | − | 0.483490i | \(-0.160631\pi\) |
−0.483490 | + | 0.875350i | \(0.660631\pi\) | |||||||
\(458\) | 3.21851 | − | 4.59651i | 0.150391 | − | 0.214781i | ||||
\(459\) | −17.1213 | + | 21.4612i | −0.799154 | + | 1.00173i | ||||
\(460\) | 3.89576 | + | 1.00569i | 0.181641 | + | 0.0468904i | ||||
\(461\) | −2.37470 | + | 6.52443i | −0.110601 | + | 0.303873i | −0.982629 | − | 0.185583i | \(-0.940583\pi\) |
0.872028 | + | 0.489456i | \(0.162805\pi\) | |||||||
\(462\) | −0.385565 | − | 2.48888i | −0.0179381 | − | 0.115793i | ||||
\(463\) | 3.35052 | + | 12.5043i | 0.155712 | + | 0.581125i | 0.999043 | + | 0.0437311i | \(0.0139245\pi\) |
−0.843331 | + | 0.537394i | \(0.819409\pi\) | |||||||
\(464\) | −3.98105 | − | 6.89538i | −0.184816 | − | 0.320110i | ||||
\(465\) | 8.56541 | − | 9.96915i | 0.397211 | − | 0.462308i | ||||
\(466\) | 0.835590 | − | 4.73887i | 0.0387080 | − | 0.219524i | ||||
\(467\) | 14.3496 | + | 3.84498i | 0.664022 | + | 0.177924i | 0.575061 | − | 0.818111i | \(-0.304978\pi\) |
0.0889617 | + | 0.996035i | \(0.471645\pi\) | |||||||
\(468\) | 4.50227 | + | 10.8097i | 0.208117 | + | 0.499676i | ||||
\(469\) | 0.457183 | − | 0.544850i | 0.0211108 | − | 0.0251588i | ||||
\(470\) | 26.4666 | + | 4.41705i | 1.22082 | + | 0.203743i | ||||
\(471\) | 7.27349 | − | 3.20890i | 0.335145 | − | 0.147858i | ||||
\(472\) | −2.88685 | − | 0.252567i | −0.132878 | − | 0.0116253i | ||||
\(473\) | 12.3273 | − | 17.6053i | 0.566812 | − | 0.809491i | ||||
\(474\) | 17.1648 | − | 1.14188i | 0.788406 | − | 0.0524484i | ||||
\(475\) | 6.95400 | − | 20.6553i | 0.319071 | − | 0.947731i | ||||
\(476\) | 3.40799i | 0.156205i | ||||||||
\(477\) | 17.9525 | + | 9.30097i | 0.821991 | + | 0.425862i | ||||
\(478\) | −0.545881 | + | 6.23945i | −0.0249680 | + | 0.285386i | ||||
\(479\) | 1.89914 | − | 0.691230i | 0.0867738 | − | 0.0315831i | −0.298268 | − | 0.954482i | \(-0.596409\pi\) |
0.385042 | + | 0.922899i | \(0.374187\pi\) | |||||||
\(480\) | 3.85404 | + | 0.382570i | 0.175912 | + | 0.0174618i | ||||
\(481\) | −3.63706 | − | 3.05186i | −0.165836 | − | 0.139153i | ||||
\(482\) | −4.06705 | − | 15.1784i | −0.185249 | − | 0.691358i | ||||
\(483\) | 0.390255 | − | 1.97201i | 0.0177572 | − | 0.0897295i | ||||
\(484\) | −5.82804 | − | 1.02764i | −0.264911 | − | 0.0467110i | ||||
\(485\) | −19.8927 | − | 19.5313i | −0.903281 | − | 0.886873i | ||||
\(486\) | 10.2208 | − | 11.7701i | 0.463626 | − | 0.533902i | ||||
\(487\) | −19.4779 | + | 5.21908i | −0.882627 | + | 0.236499i | −0.671540 | − | 0.740968i | \(-0.734367\pi\) |
−0.211087 | + | 0.977467i | \(0.567700\pi\) | |||||||
\(488\) | −0.920408 | − | 10.5203i | −0.0416649 | − | 0.476232i | ||||
\(489\) | 0.441930 | − | 1.52173i | 0.0199848 | − | 0.0688148i | ||||
\(490\) | 3.67987 | − | 14.2548i | 0.166240 | − | 0.643968i | ||||
\(491\) | −23.6706 | − | 28.2096i | −1.06824 | − | 1.27308i | −0.960314 | − | 0.278922i | \(-0.910023\pi\) |
−0.107927 | − | 0.994159i | \(-0.534421\pi\) | |||||||
\(492\) | 8.74491 | + | 5.29486i | 0.394251 | + | 0.238711i | ||||
\(493\) | 29.7466 | − | 29.7466i | 1.33972 | − | 1.33972i | ||||
\(494\) | −8.41862 | + | 14.7851i | −0.378772 | + | 0.665215i | ||||
\(495\) | −4.70753 | − | 14.3712i | −0.211588 | − | 0.645937i | ||||
\(496\) | 0.589296 | + | 3.34207i | 0.0264602 | + | 0.150063i | ||||
\(497\) | −0.150162 | + | 1.71636i | −0.00673570 | + | 0.0769894i | ||||
\(498\) | 1.80613 | − | 4.65792i | 0.0809347 | − | 0.208726i | ||||
\(499\) | 5.34376 | − | 14.6819i | 0.239219 | − | 0.657250i | −0.760747 | − | 0.649049i | \(-0.775167\pi\) |
0.999966 | − | 0.00820139i | \(-0.00261061\pi\) | |||||||
\(500\) | −11.0597 | − | 1.63799i | −0.494605 | − | 0.0732532i | ||||
\(501\) | −9.91536 | − | 4.87768i | −0.442986 | − | 0.217919i | ||||
\(502\) | 5.81604 | − | 21.7058i | 0.259583 | − | 0.968776i | ||||
\(503\) | −25.8340 | + | 18.0892i | −1.15188 | + | 0.806556i | −0.983809 | − | 0.179219i | \(-0.942643\pi\) |
−0.168072 | + | 0.985775i | \(0.553754\pi\) | |||||||
\(504\) | 0.0806292 | − | 1.93338i | 0.00359151 | − | 0.0861197i | ||||
\(505\) | 22.2924 | + | 26.0779i | 0.992000 | + | 1.16045i | ||||
\(506\) | 3.51290 | + | 2.02818i | 0.156168 | + | 0.0901634i | ||||
\(507\) | 0.592744 | + | 3.82626i | 0.0263247 | + | 0.169930i | ||||
\(508\) | −19.5306 | + | 9.10727i | −0.866531 | + | 0.404070i | ||||
\(509\) | −31.3171 | + | 11.3985i | −1.38810 | + | 0.505229i | −0.924625 | − | 0.380879i | \(-0.875622\pi\) |
−0.463480 | + | 0.886108i | \(0.653399\pi\) | |||||||
\(510\) | 3.31787 | + | 20.1923i | 0.146918 | + | 0.894128i | ||||
\(511\) | −0.861158 | − | 4.88387i | −0.0380954 | − | 0.216050i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 22.6133 | + | 1.27980i | 0.998402 | + | 0.0565044i | ||||
\(514\) | 13.3499i | 0.588839i | ||||||||
\(515\) | 6.05282 | − | 13.2972i | 0.266719 | − | 0.585943i | ||||
\(516\) | 11.9171 | − | 11.4304i | 0.524619 | − | 0.503197i | ||||
\(517\) | 24.5174 | + | 11.4327i | 1.07827 | + | 0.502807i | ||||
\(518\) | 0.331582 | + | 0.711081i | 0.0145689 | + | 0.0312431i | ||||
\(519\) | 1.22950 | + | 0.899662i | 0.0539691 | + | 0.0394908i | ||||
\(520\) | 8.22861 | + | 2.90984i | 0.360849 | + | 0.127605i | ||||
\(521\) | −19.8923 | + | 11.4848i | −0.871497 | + | 0.503159i | −0.867846 | − | 0.496834i | \(-0.834496\pi\) |
−0.00365179 | + | 0.999993i | \(0.501162\pi\) | |||||||
\(522\) | −17.5793 | + | 16.1717i | −0.769424 | + | 0.707817i | ||||
\(523\) | 22.2562 | + | 31.7851i | 0.973195 | + | 1.38987i | 0.920277 | + | 0.391267i | \(0.127963\pi\) |
0.0529177 | + | 0.998599i | \(0.483148\pi\) | |||||||
\(524\) | 7.71102 | + | 13.3559i | 0.336857 | + | 0.583454i | ||||
\(525\) | −0.500812 | + | 5.56355i | −0.0218572 | + | 0.242813i | ||||
\(526\) | 11.4920 | + | 9.64294i | 0.501075 | + | 0.420452i | ||||
\(527\) | −16.2504 | + | 7.57768i | −0.707878 | + | 0.330089i | ||||
\(528\) | 3.64053 | + | 1.41163i | 0.158434 | + | 0.0614334i | ||||
\(529\) | −12.7030 | − | 15.1388i | −0.552304 | − | 0.658210i | ||||
\(530\) | 14.1136 | − | 5.28391i | 0.613054 | − | 0.229518i | ||||
\(531\) | 1.15158 | + | 8.61702i | 0.0499745 | + | 0.373947i | ||||
\(532\) | 2.29342 | − | 1.62641i | 0.0994323 | − | 0.0705139i | ||||
\(533\) | 16.2903 | + | 16.2903i | 0.705611 | + | 0.705611i | ||||
\(534\) | 18.1096 | − | 4.45015i | 0.783680 | − | 0.192577i | ||||
\(535\) | −3.45428 | + | 0.334140i | −0.149342 | + | 0.0144461i | ||||
\(536\) | 0.377138 | + | 1.03618i | 0.0162899 | + | 0.0447561i | ||||
\(537\) | −1.15698 | + | 0.636210i | −0.0499272 | + | 0.0274545i | ||||
\(538\) | 6.77667 | − | 0.592882i | 0.292163 | − | 0.0255610i | ||||
\(539\) | 7.42123 | − | 12.8539i | 0.319655 | − | 0.553659i | ||||
\(540\) | −1.40453 | − | 11.5337i | −0.0604415 | − | 0.496333i | ||||
\(541\) | −7.67382 | + | 43.5204i | −0.329923 | + | 1.87109i | 0.142616 | + | 0.989778i | \(0.454448\pi\) |
−0.472540 | + | 0.881309i | \(0.656663\pi\) | |||||||
\(542\) | 12.6848 | + | 18.1158i | 0.544861 | + | 0.778142i | ||||
\(543\) | −12.1201 | − | 2.39852i | −0.520122 | − | 0.102931i | ||||
\(544\) | −4.57567 | − | 2.64177i | −0.196180 | − | 0.113265i | ||||
\(545\) | −36.3641 | − | 20.5528i | −1.55767 | − | 0.880383i | ||||
\(546\) | 1.21618 | − | 4.18773i | 0.0520475 | − | 0.179218i | ||||
\(547\) | −27.9050 | − | 13.0123i | −1.19313 | − | 0.556367i | −0.278415 | − | 0.960461i | \(-0.589809\pi\) |
−0.914718 | + | 0.404094i | \(0.867587\pi\) | |||||||
\(548\) | −7.54850 | − | 0.660409i | −0.322456 | − | 0.0282113i | ||||
\(549\) | −30.1965 | + | 9.58582i | −1.28876 | + | 0.409113i | ||||
\(550\) | −10.3012 | − | 4.57557i | −0.439246 | − | 0.195103i | ||||
\(551\) | −34.2142 | − | 5.82197i | −1.45757 | − | 0.248024i | ||||
\(552\) | 2.34517 | + | 2.05261i | 0.0998169 | + | 0.0873648i | ||||
\(553\) | −5.24778 | − | 3.67453i | −0.223158 | − | 0.156257i | ||||
\(554\) | 2.65510 | − | 2.22789i | 0.112804 | − | 0.0946540i | ||||
\(555\) | 2.65690 | + | 3.89032i | 0.112779 | + | 0.165135i | ||||
\(556\) | 9.30334 | + | 3.38614i | 0.394549 | + | 0.143604i | ||||
\(557\) | 43.2870 | − | 3.78713i | 1.83413 | − | 0.160466i | 0.883024 | − | 0.469327i | \(-0.155504\pi\) |
0.951107 | + | 0.308862i | \(0.0999481\pi\) | |||||||
\(558\) | 9.39827 | − | 3.91442i | 0.397860 | − | 0.165711i | ||||
\(559\) | 32.2268 | − | 18.6061i | 1.36305 | − | 0.786956i | ||||
\(560\) | −1.02917 | − | 1.01048i | −0.0434905 | − | 0.0427004i | ||||
\(561\) | −2.22592 | + | 20.5098i | −0.0939783 | + | 0.865925i | ||||
\(562\) | 3.03929 | − | 11.3428i | 0.128205 | − | 0.478467i | ||||
\(563\) | 5.89041 | − | 1.57833i | 0.248251 | − | 0.0665187i | −0.132548 | − | 0.991177i | \(-0.542316\pi\) |
0.380799 | + | 0.924658i | \(0.375649\pi\) | |||||||
\(564\) | 16.7736 | + | 12.2737i | 0.706294 | + | 0.516816i | ||||
\(565\) | −30.7924 | + | 21.9844i | −1.29545 | + | 0.924892i | ||||
\(566\) | −0.00734454 | − | 0.0201790i | −0.000308714 | − | 0.000848185i | ||||
\(567\) | −5.71301 | + | 1.03039i | −0.239924 | + | 0.0432724i | ||||
\(568\) | −2.18804 | − | 1.53208i | −0.0918082 | − | 0.0642848i | ||||
\(569\) | −31.5312 | −1.32186 | −0.660929 | − | 0.750449i | \(-0.729837\pi\) | ||||
−0.660929 | + | 0.750449i | \(0.729837\pi\) | |||||||
\(570\) | 12.0051 | − | 11.8692i | 0.502836 | − | 0.497147i | ||||
\(571\) | 31.1207 | 1.30236 | 0.651181 | − | 0.758923i | \(-0.274274\pi\) | ||||
0.651181 | + | 0.758923i | \(0.274274\pi\) | |||||||
\(572\) | 7.20795 | + | 5.04706i | 0.301379 | + | 0.211028i | ||||
\(573\) | −5.99741 | − | 0.125003i | −0.250545 | − | 0.00522206i | ||||
\(574\) | −1.30209 | − | 3.57747i | −0.0543483 | − | 0.149321i | ||||
\(575\) | −6.47721 | − | 6.24399i | −0.270118 | − | 0.260392i | ||||
\(576\) | 2.53332 | + | 1.60695i | 0.105555 | + | 0.0669564i | ||||
\(577\) | −45.3704 | + | 12.1570i | −1.88879 | + | 0.506101i | −0.890057 | + | 0.455850i | \(0.849335\pi\) |
−0.998737 | + | 0.0502504i | \(0.983998\pi\) | |||||||
\(578\) | 2.82519 | − | 10.5438i | 0.117513 | − | 0.438563i | ||||
\(579\) | 28.9717 | + | 3.14428i | 1.20402 | + | 0.130672i | ||||
\(580\) | 0.163183 | + | 17.8030i | 0.00677581 | + | 0.739231i | ||||
\(581\) | −1.61121 | + | 0.930232i | −0.0668442 | + | 0.0385925i | ||||
\(582\) | −6.96125 | − | 20.4416i | −0.288553 | − | 0.847330i | ||||
\(583\) | 15.1356 | − | 1.32419i | 0.626851 | − | 0.0548424i | ||||
\(584\) | 7.22478 | + | 2.62961i | 0.298964 | + | 0.108814i | ||||
\(585\) | 3.12882 | − | 25.9963i | 0.129361 | − | 1.07481i | ||||
\(586\) | 8.15208 | − | 6.84041i | 0.336759 | − | 0.282575i | ||||
\(587\) | 35.5822 | + | 24.9149i | 1.46864 | + | 1.02835i | 0.988511 | + | 0.151150i | \(0.0482976\pi\) |
0.480125 | + | 0.877200i | \(0.340591\pi\) | |||||||
\(588\) | 7.51062 | − | 8.58112i | 0.309733 | − | 0.353879i | ||||
\(589\) | 12.8547 | + | 7.31943i | 0.529668 | + | 0.301592i | ||||
\(590\) | 5.34183 | + | 3.66788i | 0.219919 | + | 0.151004i | ||||
\(591\) | −42.6333 | + | 10.4765i | −1.75370 | + | 0.430944i | ||||
\(592\) | −1.21175 | − | 0.106015i | −0.0498027 | − | 0.00435717i | ||||
\(593\) | −28.8212 | − | 13.4395i | −1.18354 | − | 0.551896i | −0.271680 | − | 0.962388i | \(-0.587579\pi\) |
−0.911864 | + | 0.410492i | \(0.865357\pi\) | |||||||
\(594\) | 1.74802 | − | 11.5827i | 0.0717222 | − | 0.475245i | ||||
\(595\) | 3.74960 | − | 6.63419i | 0.153719 | − | 0.271975i | ||||
\(596\) | −6.25423 | − | 3.61088i | −0.256183 | − | 0.147907i | ||||
\(597\) | 6.75689 | − | 34.1435i | 0.276541 | − | 1.39740i | ||||
\(598\) | 4.02842 | + | 5.75318i | 0.164734 | + | 0.235265i | ||||
\(599\) | −3.83706 | + | 21.7611i | −0.156778 | + | 0.889133i | 0.800364 | + | 0.599515i | \(0.204640\pi\) |
−0.957142 | + | 0.289619i | \(0.906471\pi\) | |||||||
\(600\) | −7.08158 | − | 4.98510i | −0.289104 | − | 0.203516i | ||||
\(601\) | 22.3710 | − | 38.7477i | 0.912531 | − | 1.58055i | 0.102055 | − | 0.994779i | \(-0.467458\pi\) |
0.810476 | − | 0.585771i | \(-0.199208\pi\) | |||||||
\(602\) | −6.12600 | + | 0.535955i | −0.249677 | + | 0.0218439i | ||||
\(603\) | 2.78649 | − | 1.78285i | 0.113475 | − | 0.0726035i | ||||
\(604\) | 0.700944 | + | 1.92583i | 0.0285210 | + | 0.0783608i | ||||
\(605\) | 10.2146 | + | 8.41270i | 0.415281 | + | 0.342025i | ||||
\(606\) | 6.34160 | + | 25.8068i | 0.257610 | + | 1.04833i | ||||
\(607\) | 20.6047 | + | 20.6047i | 0.836320 | + | 0.836320i | 0.988372 | − | 0.152052i | \(-0.0485881\pi\) |
−0.152052 | + | 0.988372i | \(0.548588\pi\) | |||||||
\(608\) | 0.405884 | + | 4.33996i | 0.0164608 | + | 0.176009i | ||||
\(609\) | 8.87571 | − | 0.590453i | 0.359662 | − | 0.0239264i | ||||
\(610\) | −9.78312 | + | 21.4921i | −0.396107 | + | 0.870190i | ||||
\(611\) | 30.1075 | + | 35.8807i | 1.21802 | + | 1.45158i | ||||
\(612\) | −4.73682 | + | 15.1263i | −0.191475 | + | 0.611443i | ||||
\(613\) | 10.8636 | − | 5.06576i | 0.438775 | − | 0.204604i | −0.190662 | − | 0.981656i | \(-0.561063\pi\) |
0.629437 | + | 0.777052i | \(0.283286\pi\) | |||||||
\(614\) | −12.4133 | − | 10.4160i | −0.500958 | − | 0.420354i | ||||
\(615\) | −11.1977 | − | 19.9288i | −0.451537 | − | 0.803605i | ||||
\(616\) | −0.727048 | − | 1.25928i | −0.0292936 | − | 0.0507380i | ||||
\(617\) | −8.60645 | − | 12.2913i | −0.346483 | − | 0.494829i | 0.607653 | − | 0.794203i | \(-0.292111\pi\) |
−0.954136 | + | 0.299374i | \(0.903222\pi\) | |||||||
\(618\) | 8.81890 | − | 7.09209i | 0.354748 | − | 0.285286i | ||||
\(619\) | −11.1753 | + | 6.45204i | −0.449171 | + | 0.259329i | −0.707480 | − | 0.706733i | \(-0.750168\pi\) |
0.258309 | + | 0.966062i | \(0.416835\pi\) | |||||||
\(620\) | 2.52991 | − | 7.15423i | 0.101604 | − | 0.287321i | ||||
\(621\) | 4.47306 | − | 8.21028i | 0.179498 | − | 0.329467i | ||||
\(622\) | 11.0006 | + | 23.5909i | 0.441084 | + | 0.945908i | ||||
\(623\) | −6.29405 | − | 2.93496i | −0.252166 | − | 0.117587i | ||||
\(624\) | 4.67984 | + | 4.87908i | 0.187344 | + | 0.195319i | ||||
\(625\) | 19.7273 | + | 15.3569i | 0.789091 | + | 0.614276i | ||||
\(626\) | 17.5119i | 0.699916i | ||||||||
\(627\) | 14.8644 | − | 8.29006i | 0.593629 | − | 0.331073i | ||||
\(628\) | 3.24553 | − | 3.24553i | 0.129511 | − | 0.129511i | ||||
\(629\) | −1.11600 | − | 6.32915i | −0.0444978 | − | 0.252360i | ||||
\(630\) | −2.28414 | + | 3.67492i | −0.0910022 | + | 0.146412i | ||||
\(631\) | 17.5523 | − | 6.38851i | 0.698745 | − | 0.254322i | 0.0318701 | − | 0.999492i | \(-0.489854\pi\) |
0.666875 | + | 0.745170i | \(0.267631\pi\) | |||||||
\(632\) | 9.00146 | − | 4.19745i | 0.358059 | − | 0.166966i | ||||
\(633\) | 12.5668 | − | 1.94679i | 0.499487 | − | 0.0773779i | ||||
\(634\) | 10.9596 | + | 6.32755i | 0.435263 | + | 0.251299i | ||||
\(635\) | 48.0396 | + | 3.75957i | 1.90639 | + | 0.149194i | ||||
\(636\) | 11.6052 | + | 1.25951i | 0.460177 | + | 0.0499427i | ||||
\(637\) | 21.0513 | − | 14.7403i | 0.834082 | − | 0.584030i | ||||
\(638\) | −4.64562 | + | 17.3377i | −0.183922 | + | 0.686405i | ||||
\(639\) | −3.05210 | + | 7.40932i | −0.120739 | + | 0.293108i | ||||
\(640\) | 2.15448 | − | 0.598509i | 0.0851633 | − | 0.0236582i | ||||
\(641\) | −2.28964 | + | 6.29073i | −0.0904353 | + | 0.248469i | −0.976662 | − | 0.214783i | \(-0.931095\pi\) |
0.886226 | + | 0.463252i | \(0.153318\pi\) | |||||||
\(642\) | −2.50634 | − | 0.971845i | −0.0989173 | − | 0.0383556i | ||||
\(643\) | −0.678560 | + | 7.75598i | −0.0267598 | + | 0.305866i | 0.971006 | + | 0.239056i | \(0.0768378\pi\) |
−0.997766 | + | 0.0668104i | \(0.978718\pi\) | |||||||
\(644\) | −0.201539 | − | 1.14299i | −0.00794177 | − | 0.0450400i | ||||
\(645\) | −35.7746 | + | 9.13954i | −1.40862 | + | 0.359869i | ||||
\(646\) | −21.5940 | + | 8.00623i | −0.849603 | + | 0.315001i | ||||
\(647\) | −14.8636 | + | 14.8636i | −0.584349 | + | 0.584349i | −0.936095 | − | 0.351746i | \(-0.885588\pi\) |
0.351746 | + | 0.936095i | \(0.385588\pi\) | |||||||
\(648\) | 3.04511 | − | 8.46920i | 0.119623 | − | 0.332701i | ||||
\(649\) | 4.19920 | + | 5.00442i | 0.164833 | + | 0.196440i | ||||
\(650\) | −12.8168 | − | 14.7179i | −0.502715 | − | 0.577283i | ||||
\(651\) | −3.64095 | − | 1.05738i | −0.142700 | − | 0.0414421i | ||||
\(652\) | −0.0797360 | − | 0.911387i | −0.00312270 | − | 0.0356927i | ||||
\(653\) | −18.9095 | + | 5.06677i | −0.739984 | + | 0.198278i | −0.609071 | − | 0.793116i | \(-0.708458\pi\) |
−0.130913 | + | 0.991394i | \(0.541791\pi\) | |||||||
\(654\) | −18.0019 | − | 26.8848i | −0.703928 | − | 1.05128i | ||||
\(655\) | −0.316074 | − | 34.4833i | −0.0123501 | − | 1.34737i | ||||
\(656\) | 5.81256 | + | 1.02491i | 0.226942 | + | 0.0400161i | ||||
\(657\) | 2.96595 | − | 22.8739i | 0.115713 | − | 0.892395i | ||||
\(658\) | −2.00331 | − | 7.47647i | −0.0780973 | − | 0.291463i | ||||
\(659\) | 7.16612 | + | 6.01309i | 0.279152 | + | 0.234237i | 0.771604 | − | 0.636103i | \(-0.219455\pi\) |
−0.492452 | + | 0.870340i | \(0.663899\pi\) | |||||||
\(660\) | −5.53373 | − | 6.75341i | −0.215400 | − | 0.262876i | ||||
\(661\) | −26.7447 | + | 9.73426i | −1.04025 | + | 0.378619i | −0.804974 | − | 0.593310i | \(-0.797821\pi\) |
−0.235273 | + | 0.971929i | \(0.575598\pi\) | |||||||
\(662\) | −2.02559 | + | 23.1526i | −0.0787269 | + | 0.899852i | ||||
\(663\) | −18.5008 | + | 30.5556i | −0.718511 | + | 1.18668i | ||||
\(664\) | − | 2.88435i | − | 0.111934i | ||||||
\(665\) | −6.25394 | + | 0.642759i | −0.242517 | + | 0.0249251i | ||||
\(666\) | 0.483376 | + | 3.61698i | 0.0187304 | + | 0.140155i | ||||
\(667\) | −8.21741 | + | 11.7357i | −0.318179 | + | 0.454407i | ||||
\(668\) | −6.35554 | − | 0.556038i | −0.245903 | − | 0.0215137i | ||||
\(669\) | 4.76327 | + | 10.7967i | 0.184159 | + | 0.417425i | ||||
\(670\) | 0.405884 | − | 2.43203i | 0.0156807 | − | 0.0939575i | ||||
\(671\) | −15.3028 | + | 18.2372i | −0.590759 | + | 0.704039i | ||||
\(672\) | −0.360148 | − | 1.05757i | −0.0138930 | − | 0.0407966i | ||||
\(673\) | −13.4648 | − | 3.60788i | −0.519030 | − | 0.139074i | −0.0102123 | − | 0.999948i | \(-0.503251\pi\) |
−0.508818 | + | 0.860874i | \(0.669917\pi\) | |||||||
\(674\) | −4.26964 | + | 24.2144i | −0.164461 | + | 0.932702i | ||||
\(675\) | −9.95572 | + | 23.9976i | −0.383196 | + | 0.923667i | ||||
\(676\) | 1.11772 | + | 1.93595i | 0.0429893 | + | 0.0744596i | ||||
\(677\) | −4.92104 | − | 18.3656i | −0.189131 | − | 0.705846i | −0.993708 | − | 0.111998i | \(-0.964275\pi\) |
0.804578 | − | 0.593847i | \(-0.202392\pi\) | |||||||
\(678\) | −28.9614 | + | 4.48655i | −1.11226 | + | 0.172305i | ||||
\(679\) | −2.75046 | + | 7.55682i | −0.105553 | + | 0.290004i | ||||
\(680\) | 6.00070 | + | 10.1769i | 0.230116 | + | 0.390268i | ||||
\(681\) | 5.49700 | + | 5.73102i | 0.210645 | + | 0.219613i | ||||
\(682\) | 4.38808 | − | 6.26683i | 0.168028 | − | 0.239969i | ||||
\(683\) | −10.8498 | − | 10.8498i | −0.415155 | − | 0.415155i | 0.468375 | − | 0.883530i | \(-0.344840\pi\) |
−0.883530 | + | 0.468375i | \(0.844840\pi\) | |||||||
\(684\) | 12.4399 | − | 4.03112i | 0.475650 | − | 0.154134i | ||||
\(685\) | 13.9677 | + | 9.59074i | 0.533680 | + | 0.366443i | ||||
\(686\) | −8.62882 | + | 1.52149i | −0.329450 | + | 0.0580909i | ||||
\(687\) | −9.71696 | − | 0.202529i | −0.370725 | − | 0.00772694i | ||||
\(688\) | 4.02909 | − | 8.64041i | 0.153608 | − | 0.329413i | ||||
\(689\) | 24.7200 | + | 8.99735i | 0.941757 | + | 0.342772i | ||||
\(690\) | −2.30688 | − | 6.57596i | −0.0878215 | − | 0.250343i | ||||
\(691\) | 8.40388 | − | 14.5559i | 0.319699 | − | 0.553734i | −0.660726 | − | 0.750627i | \(-0.729752\pi\) |
0.980425 | + | 0.196893i | \(0.0630850\pi\) | |||||||
\(692\) | 0.849624 | + | 0.227656i | 0.0322978 | + | 0.00865418i | ||||
\(693\) | −3.21045 | + | 2.95340i | −0.121955 | + | 0.112190i | ||||
\(694\) | −34.1438 | − | 6.02048i | −1.29608 | − | 0.228534i | ||||
\(695\) | −14.3849 | − | 16.8275i | −0.545649 | − | 0.638305i | ||||
\(696\) | −6.08741 | + | 12.3745i | −0.230743 | + | 0.469055i | ||||
\(697\) | 2.71792 | + | 31.0660i | 0.102949 | + | 1.17671i | ||||
\(698\) | 4.92207 | + | 10.5554i | 0.186303 | + | 0.399528i | ||||
\(699\) | −7.62545 | + | 3.36417i | −0.288421 | + | 0.127245i | ||||
\(700\) | 0.891682 | + | 3.09939i | 0.0337024 | + | 0.117146i | ||||
\(701\) | −37.3989 | + | 6.59444i | −1.41254 | + | 0.249068i | −0.827285 | − | 0.561783i | \(-0.810116\pi\) |
−0.585253 | + | 0.810851i | \(0.699005\pi\) | |||||||
\(702\) | 11.2186 | − | 16.8968i | 0.423418 | − | 0.637727i | ||||
\(703\) | −3.72663 | + | 3.77151i | −0.140553 | + | 0.142245i | ||||
\(704\) | 2.25434 | 0.0849636 | ||||||||
\(705\) | −19.1484 | − | 42.3476i | −0.721170 | − | 1.59490i | ||||
\(706\) | −0.308607 | + | 0.258952i | −0.0116146 | + | 0.00974578i | ||||
\(707\) | 4.18241 | − | 8.96921i | 0.157296 | − | 0.337322i | ||||
\(708\) | 2.41851 | + | 4.39817i | 0.0908932 | + | 0.165293i | ||||
\(709\) | −11.6417 | + | 13.8740i | −0.437213 | + | 0.521051i | −0.938989 | − | 0.343947i | \(-0.888236\pi\) |
0.501776 | + | 0.864998i | \(0.332680\pi\) | |||||||
\(710\) | 2.57371 | + | 5.38981i | 0.0965898 | + | 0.202276i | ||||
\(711\) | −18.1848 | − | 23.6033i | −0.681984 | − | 0.885193i | ||||
\(712\) | 8.81952 | − | 6.17549i | 0.330525 | − | 0.231436i | ||||
\(713\) | 5.00201 | − | 3.50244i | 0.187327 | − | 0.131168i | ||||
\(714\) | 4.90480 | − | 3.28422i | 0.183558 | − | 0.122909i | ||||
\(715\) | −8.47844 | − | 17.7553i | −0.317076 | − | 0.664012i | ||||
\(716\) | −0.490004 | + | 0.583964i | −0.0183123 | + | 0.0218238i | ||||
\(717\) | 9.50591 | − | 5.22721i | 0.355005 | − | 0.195214i | ||||
\(718\) | 1.66931 | − | 3.57985i | 0.0622981 | − | 0.133599i | ||||
\(719\) | 23.5505 | − | 19.7612i | 0.878284 | − | 0.736968i | −0.0875412 | − | 0.996161i | \(-0.527901\pi\) |
0.965826 | + | 0.259193i | \(0.0834565\pi\) | |||||||
\(720\) | −3.16347 | − | 5.91544i | −0.117896 | − | 0.220455i | ||||
\(721\) | −4.21442 | −0.156953 | ||||||||
\(722\) | 15.6932 | + | 10.7109i | 0.584041 | + | 0.398618i | ||||
\(723\) | −17.9256 | + | 20.4805i | −0.666659 | + | 0.761678i | ||||
\(724\) | −7.02486 | + | 1.23867i | −0.261077 | + | 0.0460349i | ||||
\(725\) | 19.2699 | − | 34.8360i | 0.715667 | − | 1.29378i | ||||
\(726\) | 4.13739 | + | 9.37808i | 0.153553 | + | 0.348053i | ||||
\(727\) | −21.7344 | − | 46.6096i | −0.806085 | − | 1.72865i | −0.675681 | − | 0.737194i | \(-0.736150\pi\) |
−0.130404 | − | 0.991461i | \(-0.541627\pi\) | |||||||
\(728\) | −0.219431 | − | 2.50810i | −0.00813264 | − | 0.0929565i | ||||
\(729\) | −26.7892 | − | 3.36725i | −0.992193 | − | 0.124713i | ||||
\(730\) | −11.1710 | − | 13.0679i | −0.413457 | − | 0.483666i | ||||
\(731\) | 49.6060 | + | 8.74688i | 1.83475 | + | 0.323515i | ||||
\(732\) | −14.2539 | + | 11.4629i | −0.526840 | + | 0.423681i | ||||
\(733\) | −6.83940 | − | 1.83261i | −0.252619 | − | 0.0676891i | 0.130287 | − | 0.991476i | \(-0.458410\pi\) |
−0.382906 | + | 0.923787i | \(0.625077\pi\) | |||||||
\(734\) | 9.28269 | − | 16.0781i | 0.342630 | − | 0.593453i | ||||
\(735\) | −24.0619 | + | 8.44103i | −0.887536 | + | 0.311352i | ||||
\(736\) | 1.69084 | + | 0.615415i | 0.0623251 | + | 0.0226845i | ||||
\(737\) | 1.05055 | − | 2.25291i | 0.0386975 | − | 0.0829871i | ||||
\(738\) | −0.806914 | − | 17.6883i | −0.0297029 | − | 0.651115i | ||||
\(739\) | −33.8976 | + | 5.97707i | −1.24694 | + | 0.219870i | −0.757890 | − | 0.652383i | \(-0.773769\pi\) |
−0.489055 | + | 0.872253i | \(0.662658\pi\) | |||||||
\(740\) | 2.24222 | + | 1.53959i | 0.0824258 | + | 0.0565964i | ||||
\(741\) | 29.3917 | − | 2.13203i | 1.07973 | − | 0.0783220i | ||||
\(742\) | −3.07393 | − | 3.07393i | −0.112848 | − | 0.112848i | ||||
\(743\) | 19.7864 | − | 28.2579i | 0.725892 | − | 1.03668i | −0.271352 | − | 0.962480i | \(-0.587471\pi\) |
0.997243 | − | 0.0742003i | \(-0.0236404\pi\) | |||||||
\(744\) | 4.24203 | − | 4.06881i | 0.155520 | − | 0.149170i | ||||
\(745\) | 8.20201 | + | 13.9103i | 0.300498 | + | 0.509633i | ||||
\(746\) | −9.72504 | + | 26.7193i | −0.356059 | + | 0.978264i | ||||
\(747\) | −8.44425 | + | 1.88936i | −0.308959 | + | 0.0691281i | ||||
\(748\) | 3.08276 | + | 11.5050i | 0.112717 | + | 0.420665i | ||||
\(749\) | 0.500540 | + | 0.866961i | 0.0182893 | + | 0.0316780i | ||||
\(750\) | 8.30063 | + | 17.4957i | 0.303096 | + | 0.638853i | ||||
\(751\) | 4.55041 | − | 25.8066i | 0.166047 | − | 0.941698i | −0.781932 | − | 0.623364i | \(-0.785766\pi\) |
0.947979 | − | 0.318334i | \(-0.103123\pi\) | |||||||
\(752\) | 11.5911 | + | 3.10581i | 0.422682 | + | 0.113257i | ||||
\(753\) | −36.8439 | + | 12.5470i | −1.34267 | + | 0.457237i | ||||
\(754\) | −19.9767 | + | 23.8072i | −0.727507 | + | 0.867009i | ||||
\(755\) | 0.754370 | − | 4.52013i | 0.0274543 | − | 0.164504i | ||||
\(756\) | −2.86024 | + | 1.74712i | −0.104026 | + | 0.0635423i | ||||
\(757\) | −14.3234 | − | 1.25313i | −0.520593 | − | 0.0455460i | −0.176168 | − | 0.984360i | \(-0.556370\pi\) |
−0.344424 | + | 0.938814i | \(0.611926\pi\) | |||||||
\(758\) | 1.48353 | − | 2.11870i | 0.0538844 | − | 0.0769548i | ||||
\(759\) | −0.466358 | − | 7.01031i | −0.0169277 | − | 0.254458i | ||||
\(760\) | 3.98487 | − | 8.89499i | 0.144546 | − | 0.322655i | ||||
\(761\) | − | 44.8383i | − | 1.62539i | −0.582691 | − | 0.812694i | \(-0.698000\pi\) | ||
0.582691 | − | 0.812694i | \(-0.302000\pi\) | |||||||
\(762\) | 31.9285 | + | 19.3321i | 1.15665 | + | 0.700327i | ||||
\(763\) | −1.05015 | + | 12.0033i | −0.0380181 | + | 0.434549i | ||||
\(764\) | −3.25449 | + | 1.18454i | −0.117743 | + | 0.0428551i | ||||
\(765\) | 25.8635 | − | 24.2340i | 0.935095 | − | 0.876183i | ||||
\(766\) | 0.821826 | + | 0.689594i | 0.0296938 | + | 0.0249160i | ||||
\(767\) | 2.92755 | + | 10.9258i | 0.105708 | + | 0.394506i | ||||
\(768\) | 1.69910 | + | 0.336247i | 0.0613110 | + | 0.0121333i | ||||
\(769\) | 39.9659 | + | 7.04706i | 1.44121 | + | 0.254123i | 0.838963 | − | 0.544189i | \(-0.183163\pi\) |
0.602243 | + | 0.798313i | \(0.294274\pi\) | |||||||
\(770\) | 0.0298017 | + | 3.25132i | 0.00107398 | + | 0.117170i | ||||
\(771\) | 19.2133 | − | 12.8651i | 0.691949 | − | 0.463324i | ||||
\(772\) | 16.2517 | − | 4.35464i | 0.584912 | − | 0.156727i | ||||
\(773\) | 1.47713 | + | 16.8837i | 0.0531287 | + | 0.607264i | 0.975359 | + | 0.220623i | \(0.0708092\pi\) |
−0.922230 | + | 0.386641i | \(0.873635\pi\) | |||||||
\(774\) | −27.9350 | − | 6.13581i | −1.00410 | − | 0.220547i | ||||
\(775\) | −12.7962 | + | 11.1433i | −0.459654 | + | 0.400280i | ||||
\(776\) | −8.01396 | − | 9.55066i | −0.287684 | − | 0.342849i | ||||
\(777\) | 0.703852 | − | 1.16247i | 0.0252506 | − | 0.0417034i | ||||
\(778\) | −18.7021 | + | 18.7021i | −0.670504 | + | 0.670504i | ||||
\(779\) | 19.6089 | − | 16.6548i | 0.702561 | − | 0.596720i | ||||
\(780\) | −3.74191 | − | 14.6468i | −0.133982 | − | 0.524441i | ||||
\(781\) | 1.04564 | + | 5.93010i | 0.0374158 | + | 0.212196i | ||||
\(782\) | −0.828584 | + | 9.47076i | −0.0296301 | + | 0.338674i | ||||
\(783\) | 40.2153 | + | 9.71580i | 1.43718 | + | 0.347214i | ||||
\(784\) | 2.25184 | − | 6.18689i | 0.0804230 | − | 0.220960i | ||||
\(785\) | −9.88879 | + | 2.74708i | −0.352946 | + | 0.0980475i | ||||
\(786\) | 11.7909 | − | 23.9686i | 0.420567 | − | 0.854930i | ||||
\(787\) | −7.06597 | + | 26.3705i | −0.251875 | + | 0.940009i | 0.717928 | + | 0.696117i | \(0.245091\pi\) |
−0.969803 | + | 0.243891i | \(0.921576\pi\) | |||||||
\(788\) | −20.7628 | + | 14.5382i | −0.739643 | + | 0.517903i | ||||
\(789\) | 2.80354 | − | 25.8321i | 0.0998087 | − | 0.919647i | ||||
\(790\) | −22.1410 | − | 1.73275i | −0.787740 | − | 0.0616484i | ||||
\(791\) | 9.45177 | + | 5.45698i | 0.336066 | + | 0.194028i | ||||
\(792\) | −1.47668 | − | 6.59984i | −0.0524716 | − | 0.234515i | ||||
\(793\) | −37.3583 | + | 17.4205i | −1.32663 | + | 0.618619i | ||||
\(794\) | 4.76946 | − | 1.73594i | 0.169262 | − | 0.0616063i | ||||
\(795\) | −21.2056 | − | 15.2203i | −0.752086 | − | 0.539809i | ||||
\(796\) | −3.48947 | − | 19.7898i | −0.123681 | − | 0.701429i | ||||
\(797\) | 14.1699 | − | 14.1699i | 0.501925 | − | 0.501925i | −0.410111 | − | 0.912036i | \(-0.634510\pi\) |
0.912036 | + | 0.410111i | \(0.134510\pi\) | |||||||
\(798\) | −4.55087 | − | 1.73336i | −0.161099 | − | 0.0613603i | ||||
\(799\) | 63.4021i | 2.24300i | ||||||||
\(800\) | −4.85254 | − | 1.20535i | −0.171563 | − | 0.0426155i | ||||
\(801\) | −23.8566 | − | 21.7750i | −0.842932 | − | 0.769380i | ||||
\(802\) | 18.3741 | + | 8.56796i | 0.648810 | + | 0.302545i | ||||
\(803\) | −7.32498 | − | 15.7085i | −0.258493 | − | 0.554340i | ||||
\(804\) | 1.12784 | − | 1.54133i | 0.0397757 | − | 0.0543585i | ||||
\(805\) | −0.865229 | + | 2.44675i | −0.0304953 | + | 0.0862365i | ||||
\(806\) | 11.4715 | − | 6.62310i | 0.404068 | − | 0.233289i | ||||
\(807\) | −7.38384 | − | 9.18168i | −0.259923 | − | 0.323211i | ||||
\(808\) | 8.80027 | + | 12.5681i | 0.309592 | + | 0.442144i | ||||
\(809\) | −23.8414 | − | 41.2946i | −0.838221 | − | 1.45184i | −0.891381 | − | 0.453255i | \(-0.850263\pi\) |
0.0531605 | − | 0.998586i | \(-0.483071\pi\) | |||||||
\(810\) | −15.2459 | + | 13.1363i | −0.535687 | + | 0.461562i | ||||
\(811\) | 17.3331 | + | 14.5442i | 0.608646 | + | 0.510714i | 0.894212 | − | 0.447645i | \(-0.147737\pi\) |
−0.285566 | + | 0.958359i | \(0.592181\pi\) | |||||||
\(812\) | 4.65454 | − | 2.17045i | 0.163342 | − | 0.0761678i | ||||
\(813\) | 13.8483 | − | 35.7140i | 0.485680 | − | 1.25255i | ||||
\(814\) | 1.76261 | + | 2.10060i | 0.0617795 | + | 0.0736259i | ||||
\(815\) | −0.847523 | + | 1.86189i | −0.0296875 | + | 0.0652190i | ||||
\(816\) | 0.607447 | + | 9.13116i | 0.0212649 | + | 0.319655i | ||||
\(817\) | −17.7875 | − | 37.5569i | −0.622306 | − | 1.31395i | ||||
\(818\) | 18.4045 | + | 18.4045i | 0.643497 | + | 0.643497i | ||||
\(819\) | −7.19902 | + | 2.28532i | −0.251554 | + | 0.0798554i | ||||
\(820\) | −10.1874 | − | 8.39036i | −0.355760 | − | 0.293004i | ||||
\(821\) | −3.99481 | − | 10.9756i | −0.139420 | − | 0.383053i | 0.850257 | − | 0.526367i | \(-0.176446\pi\) |
−0.989677 | + | 0.143314i | \(0.954224\pi\) | |||||||
\(822\) | 6.32390 | + | 11.5003i | 0.220571 | + | 0.401118i | ||||
\(823\) | −56.9076 | + | 4.97877i | −1.98367 | + | 0.173549i | −0.999980 | − | 0.00630300i | \(-0.997994\pi\) |
−0.983694 | + | 0.179852i | \(0.942438\pi\) | |||||||
\(824\) | 3.26689 | − | 5.65842i | 0.113807 | − | 0.197120i | ||||
\(825\) | 3.34193 | + | 19.2350i | 0.116351 | + | 0.669677i | ||||
\(826\) | 0.324582 | − | 1.84079i | 0.0112936 | − | 0.0640494i | ||||
\(827\) | 2.38067 | + | 3.39994i | 0.0827839 | + | 0.118228i | 0.858408 | − | 0.512967i | \(-0.171454\pi\) |
−0.775624 | + | 0.631195i | \(0.782565\pi\) | |||||||
\(828\) | 0.694130 | − | 5.35324i | 0.0241227 | − | 0.186038i | ||||
\(829\) | 28.7349 | + | 16.5901i | 0.998003 | + | 0.576197i | 0.907657 | − | 0.419713i | \(-0.137869\pi\) |
0.0903460 | + | 0.995910i | \(0.471203\pi\) | |||||||
\(830\) | −3.17347 | + | 5.61483i | −0.110153 | + | 0.194894i | ||||
\(831\) | −5.76507 | − | 1.67426i | −0.199988 | − | 0.0580793i | ||||
\(832\) | 3.53756 | + | 1.64959i | 0.122643 | + | 0.0571892i | ||||
\(833\) | 34.6541 | + | 3.03184i | 1.20069 | + | 0.105047i | ||||
\(834\) | −4.09211 | − | 16.6526i | −0.141698 | − | 0.576632i | ||||
\(835\) | 11.7603 | + | 8.07502i | 0.406981 | + | 0.279448i | ||||
\(836\) | 6.27115 | − | 7.56516i | 0.216892 | − | 0.261646i | ||||
\(837\) | −14.6906 | − | 9.75380i | −0.507781 | − | 0.337141i | ||||
\(838\) | 26.4042 | + | 18.4884i | 0.912119 | + | 0.638673i | ||||
\(839\) | −10.2867 | + | 8.63154i | −0.355135 | + | 0.297994i | −0.802848 | − | 0.596183i | \(-0.796683\pi\) |
0.447713 | + | 0.894177i | \(0.352239\pi\) | |||||||
\(840\) | −0.462490 | + | 2.45497i | −0.0159574 | + | 0.0847045i | ||||
\(841\) | −32.3208 | − | 11.7638i | −1.11451 | − | 0.405648i | ||||
\(842\) | −15.3815 | + | 1.34571i | −0.530082 | + | 0.0463761i | ||||
\(843\) | −19.2536 | + | 6.55668i | −0.663128 | + | 0.225824i | ||||
\(844\) | 6.35837 | − | 3.67100i | 0.218864 | − | 0.126361i | ||||
\(845\) | −0.0458154 | − | 4.99839i | −0.00157610 | − | 0.171950i | ||||
\(846\) | 1.50002 | − | 35.9686i | 0.0515718 | − | 1.23662i | ||||
\(847\) | 0.987965 | − | 3.68713i | 0.0339469 | − | 0.126691i | ||||
\(848\) | 6.50997 | − | 1.74434i | 0.223553 | − | 0.0599009i | ||||
\(849\) | −0.0219639 | + | 0.0300164i | −0.000753799 | + | 0.00103016i | ||||
\(850\) | −0.484249 | − | 26.4132i | −0.0166096 | − | 0.905966i | ||||
\(851\) | 0.748578 | + | 2.05670i | 0.0256609 | + | 0.0705028i | ||||
\(852\) | −0.0964081 | + | 4.62549i | −0.00330289 | + | 0.158467i | ||||
\(853\) | −24.6145 | − | 17.2352i | −0.842783 | − | 0.590123i | 0.0704709 | − | 0.997514i | \(-0.477550\pi\) |
−0.913254 | + | 0.407391i | \(0.866439\pi\) | |||||||
\(854\) | 6.81174 | 0.233093 | ||||||||
\(855\) | −28.6513 | − | 5.83959i | −0.979855 | − | 0.199710i | ||||
\(856\) | −1.55201 | −0.0530467 | ||||||||
\(857\) | 47.4329 | + | 33.2129i | 1.62028 | + | 1.13453i | 0.894993 | + | 0.446079i | \(0.147180\pi\) |
0.725283 | + | 0.688451i | \(0.241709\pi\) | |||||||
\(858\) | 0.317592 | − | 15.2375i | 0.0108424 | − | 0.520199i | ||||
\(859\) | 13.0248 | + | 35.7853i | 0.444399 | + | 1.22098i | 0.936571 | + | 0.350479i | \(0.113981\pi\) |
−0.492171 | + | 0.870498i | \(0.663797\pi\) | |||||||
\(860\) | −17.3498 | + | 12.3870i | −0.591622 | + | 0.422392i | ||||
\(861\) | −3.89391 | + | 5.32152i | −0.132704 | + | 0.181357i | ||||
\(862\) | −7.43195 | + | 1.99139i | −0.253133 | + | 0.0678268i | ||||
\(863\) | −11.7597 | + | 43.8879i | −0.400305 | + | 1.49396i | 0.412247 | + | 0.911072i | \(0.364744\pi\) |
−0.812552 | + | 0.582888i | \(0.801923\pi\) | |||||||
\(864\) | −0.128577 | − | 5.19456i | −0.00437427 | − | 0.176723i | ||||
\(865\) | −1.40345 | − | 1.37796i | −0.0477188 | − | 0.0468519i | ||||
\(866\) | 5.86057 | − | 3.38360i | 0.199150 | − | 0.114980i | ||||
\(867\) | −17.8972 | + | 6.09480i | −0.607822 | + | 0.206990i | ||||
\(868\) | −2.18063 | + | 0.190780i | −0.0740153 | + | 0.00647550i | ||||
\(869\) | −21.0398 | − | 7.65788i | −0.713728 | − | 0.259776i | ||||
\(870\) | 25.4650 | − | 17.3913i | 0.863345 | − | 0.589622i | ||||
\(871\) | 3.29709 | − | 2.76659i | 0.111718 | − | 0.0937422i | ||||
\(872\) | −15.3020 | − | 10.7146i | −0.518191 | − | 0.362841i | ||||
\(873\) | −22.7112 | + | 29.7178i | −0.768657 | + | 1.00580i | ||||
\(874\) | 6.76881 | − | 3.96218i | 0.228959 | − | 0.134023i | ||||
\(875\) | 1.67426 | − | 7.01451i | 0.0566005 | − | 0.237134i | ||||
\(876\) | −3.17785 | − | 12.9321i | −0.107370 | − | 0.436934i | ||||
\(877\) | 18.1668 | + | 1.58939i | 0.613451 | + | 0.0536700i | 0.389647 | − | 0.920964i | \(-0.372597\pi\) |
0.223804 | + | 0.974634i | \(0.428153\pi\) | |||||||
\(878\) | −30.4539 | − | 14.2009i | −1.02777 | − | 0.479256i | ||||
\(879\) | −17.7008 | − | 5.14055i | −0.597033 | − | 0.173387i | ||||
\(880\) | −4.38843 | − | 2.48031i | −0.147934 | − | 0.0836112i | ||||
\(881\) | 32.7615 | + | 18.9149i | 1.10376 | + | 0.637258i | 0.937207 | − | 0.348775i | \(-0.113402\pi\) |
0.166556 | + | 0.986032i | \(0.446735\pi\) | |||||||
\(882\) | −19.5879 | − | 2.53987i | −0.659558 | − | 0.0855218i | ||||
\(883\) | −0.836427 | − | 1.19454i | −0.0281480 | − | 0.0401995i | 0.804831 | − | 0.593504i | \(-0.202256\pi\) |
−0.832979 | + | 0.553304i | \(0.813367\pi\) | |||||||
\(884\) | −3.58115 | + | 20.3097i | −0.120447 | + | 0.683089i | ||||
\(885\) | 0.131019 | − | 11.2227i | 0.00440417 | − | 0.377246i | ||||
\(886\) | 5.95413 | − | 10.3129i | 0.200033 | − | 0.346467i | ||||
\(887\) | 54.4351 | − | 4.76246i | 1.82775 | − | 0.159908i | 0.879185 | − | 0.476481i | \(-0.158088\pi\) |
0.948568 | + | 0.316573i | \(0.102532\pi\) | |||||||
\(888\) | 1.01517 | + | 1.84613i | 0.0340668 | + | 0.0619519i | ||||
\(889\) | −4.75407 | − | 13.0617i | −0.159446 | − | 0.438075i | ||||
\(890\) | −23.9631 | + | 2.31800i | −0.803245 | + | 0.0776997i | ||||
\(891\) | −18.3545 | + | 8.64631i | −0.614899 | + | 0.289662i | ||||
\(892\) | 4.81764 | + | 4.81764i | 0.161307 | + | 0.161307i | ||||
\(893\) | 42.6667 | − | 30.2577i | 1.42779 | − | 1.01254i | ||||
\(894\) | 0.830284 | + | 12.4809i | 0.0277689 | + | 0.417423i | ||||
\(895\) | 1.59637 | − | 0.597657i | 0.0533608 | − | 0.0199775i | ||||
\(896\) | −0.414611 | − | 0.494115i | −0.0138512 | − | 0.0165072i | ||||
\(897\) | 4.39790 | − | 11.3420i | 0.146842 | − | 0.378697i | ||||
\(898\) | −20.5072 | + | 9.56268i | −0.684335 | + | 0.319111i | ||||
\(899\) | 20.6988 | + | 17.3684i | 0.690344 | + | 0.579267i | ||||
\(900\) | −0.350188 | + | 14.9959i | −0.0116729 | + | 0.499864i | ||||
\(901\) | 17.8045 | + | 30.8383i | 0.593154 | + | 1.02737i | ||||
\(902\) | −7.63180 | − | 10.8993i | −0.254111 | − | 0.362908i | ||||
\(903\) | 6.67487 | + | 8.30009i | 0.222126 | + | 0.276210i | ||||
\(904\) | −14.6534 | + | 8.46017i | −0.487366 | + | 0.281381i | ||||
\(905\) | 15.0378 | + | 5.31774i | 0.499874 | + | 0.176768i | ||||
\(906\) | 2.09618 | − | 2.86469i | 0.0696408 | − | 0.0951729i | ||||
\(907\) | 10.4033 | + | 22.3099i | 0.345435 | + | 0.740788i | 0.999883 | − | 0.0153192i | \(-0.00487645\pi\) |
−0.654447 | + | 0.756108i | \(0.727099\pi\) | |||||||
\(908\) | 4.15526 | + | 1.93763i | 0.137897 | + | 0.0643024i | ||||
\(909\) | 31.0300 | − | 33.9964i | 1.02920 | − | 1.12759i | ||||
\(910\) | −2.33235 | + | 5.12385i | −0.0773168 | + | 0.169854i | ||||
\(911\) | 33.2493i | 1.10160i | 0.834638 | + | 0.550800i | \(0.185677\pi\) | ||||
−0.834638 | + | 0.550800i | \(0.814323\pi\) | |||||||
\(912\) | 5.85496 | − | 4.76649i | 0.193877 | − | 0.157834i | ||||
\(913\) | −4.59782 | + | 4.59782i | −0.152166 | + | 0.152166i | ||||
\(914\) | −2.05719 | − | 11.6669i | −0.0680458 | − | 0.385907i | ||||
\(915\) | 40.3594 | − | 6.63163i | 1.33424 | − | 0.219235i | ||||
\(916\) | −5.27290 | + | 1.91918i | −0.174222 | + | 0.0634115i | ||||
\(917\) | −9.01553 | + | 4.20401i | −0.297719 | + | 0.138829i | ||||
\(918\) | 26.3346 | − | 7.75964i | 0.869172 | − | 0.256106i | ||||
\(919\) | −1.97970 | − | 1.14298i | −0.0653043 | − | 0.0377034i | 0.466992 | − | 0.884261i | \(-0.345338\pi\) |
−0.532297 | + | 0.846558i | \(0.678671\pi\) | |||||||
\(920\) | −2.61438 | − | 3.05833i | −0.0861936 | − | 0.100830i | ||||
\(921\) | −3.02829 | + | 27.9029i | −0.0997854 | + | 0.919433i | ||||
\(922\) | 5.68750 | − | 3.98243i | 0.187308 | − | 0.131154i | ||||
\(923\) | −2.69845 | + | 10.0708i | −0.0888207 | + | 0.331483i | ||||
\(924\) | −1.11173 | + | 2.25992i | −0.0365731 | + | 0.0743460i | ||||
\(925\) | −2.67093 | − | 5.46403i | −0.0878196 | − | 0.179656i | ||||
\(926\) | 4.42760 | − | 12.1647i | 0.145500 | − | 0.399757i | ||||
\(927\) | −18.7056 | − | 5.85770i | −0.614373 | − | 0.192392i | ||||
\(928\) | −0.693943 | + | 7.93180i | −0.0227798 | + | 0.260374i | ||||
\(929\) | −7.67507 | − | 43.5275i | −0.251811 | − | 1.42809i | −0.804128 | − | 0.594456i | \(-0.797367\pi\) |
0.552317 | − | 0.833634i | \(-0.313744\pi\) | |||||||
\(930\) | −12.7344 | + | 3.25334i | −0.417579 | + | 0.106681i | ||||
\(931\) | −14.4979 | − | 24.7675i | −0.475149 | − | 0.811723i | ||||
\(932\) | −3.40258 | + | 3.40258i | −0.111455 | + | 0.111455i | ||||
\(933\) | 23.3511 | − | 38.5662i | 0.764479 | − | 1.26260i | ||||
\(934\) | −9.54915 | − | 11.3802i | −0.312458 | − | 0.372373i | ||||
\(935\) | 6.65718 | − | 25.7881i | 0.217713 | − | 0.843362i | ||||
\(936\) | 2.51212 | − | 11.4371i | 0.0821112 | − | 0.373835i | ||||
\(937\) | 0.456873 | + | 5.22208i | 0.0149254 | + | 0.170598i | 0.999999 | − | 0.00153662i | \(-0.000489121\pi\) |
−0.985073 | + | 0.172135i | \(0.944934\pi\) | |||||||
\(938\) | −0.687016 | + | 0.184085i | −0.0224319 | + | 0.00601060i | ||||
\(939\) | 25.2032 | − | 16.8759i | 0.822477 | − | 0.550724i | ||||
\(940\) | −19.1467 | − | 18.7989i | −0.624496 | − | 0.613152i | ||||
\(941\) | −33.8968 | − | 5.97692i | −1.10500 | − | 0.194842i | −0.408756 | − | 0.912644i | \(-0.634037\pi\) |
−0.696248 | + | 0.717802i | \(0.745148\pi\) | |||||||
\(942\) | −7.79865 | − | 1.54333i | −0.254094 | − | 0.0502844i | ||||
\(943\) | −2.74871 | − | 10.2583i | −0.0895103 | − | 0.334057i | ||||
\(944\) | 2.21990 | + | 1.86272i | 0.0722517 | + | 0.0606264i | ||||
\(945\) | 7.49016 | − | 0.254110i | 0.243655 | − | 0.00826621i | ||||
\(946\) | −20.1959 | + | 7.35072i | −0.656627 | + | 0.238993i | ||||
\(947\) | −3.78864 | + | 43.3044i | −0.123114 | + | 1.40720i | 0.643673 | + | 0.765301i | \(0.277410\pi\) |
−0.766787 | + | 0.641902i | \(0.778146\pi\) | |||||||
\(948\) | −14.7155 | − | 8.90995i | −0.477939 | − | 0.289382i | ||||
\(949\) | − | 30.0100i | − | 0.974167i | ||||||
\(950\) | −17.5438 | + | 12.9312i | −0.569195 | + | 0.419543i | ||||
\(951\) | −1.45495 | − | 21.8709i | −0.0471801 | − | 0.709214i | ||||
\(952\) | 1.95474 | − | 2.79166i | 0.0633535 | − | 0.0904782i | ||||
\(953\) | −22.0541 | − | 1.92948i | −0.714401 | − | 0.0625020i | −0.275840 | − | 0.961203i | \(-0.588956\pi\) |
−0.438561 | + | 0.898701i | \(0.644512\pi\) | |||||||
\(954\) | −9.37105 | − | 17.9161i | −0.303399 | − | 0.580054i | ||||
\(955\) | 7.63866 | + | 1.27482i | 0.247181 | + | 0.0412524i | ||||
\(956\) | 4.02596 | − | 4.79795i | 0.130209 | − | 0.155177i | ||||
\(957\) | 29.4294 | − | 10.0220i | 0.951317 | − | 0.323965i | ||||
\(958\) | −1.95216 | − | 0.523079i | −0.0630713 | − | 0.0168999i | ||||
\(959\) | 0.848713 | − | 4.81329i | 0.0274064 | − | 0.155429i | ||||
\(960\) | −2.93761 | − | 2.52397i | −0.0948111 | − | 0.0814608i | ||||
\(961\) | 9.74166 | + | 16.8731i | 0.314247 | + | 0.544292i | ||||
\(962\) | 1.22883 | + | 4.58607i | 0.0396192 | + | 0.147861i | ||||
\(963\) | 1.01663 | + | 4.54369i | 0.0327604 | + | 0.146418i | ||||
\(964\) | −5.37446 | + | 14.7662i | −0.173100 | + | 0.475587i | ||||
\(965\) | −36.4277 | − | 9.40377i | −1.17265 | − | 0.302718i | ||||
\(966\) | −1.45078 | + | 1.39153i | −0.0466779 | + | 0.0447719i | ||||
\(967\) | −32.7662 | + | 46.7950i | −1.05369 | + | 1.50482i | −0.202984 | + | 0.979182i | \(0.565064\pi\) |
−0.850706 | + | 0.525642i | \(0.823825\pi\) | |||||||
\(968\) | 4.18462 | + | 4.18462i | 0.134499 | + | 0.134499i | ||||
\(969\) | 32.3323 | + | 23.3627i | 1.03866 | + | 0.750518i | ||||
\(970\) | 5.09243 | + | 27.4091i | 0.163508 | + | 0.880054i | ||||
\(971\) | 17.7240 | − | 3.12522i | 0.568791 | − | 0.100293i | 0.118146 | − | 0.992996i | \(-0.462305\pi\) |
0.450645 | + | 0.892703i | \(0.351194\pi\) | |||||||
\(972\) | −15.1234 | + | 3.77907i | −0.485085 | + | 0.121214i | ||||
\(973\) | −2.69883 | + | 5.78765i | −0.0865204 | + | 0.185544i | ||||
\(974\) | 18.9489 | + | 6.89683i | 0.607162 | + | 0.220989i | ||||
\(975\) | −8.83079 | + | 32.6294i | −0.282812 | + | 1.04498i | ||||
\(976\) | −5.28025 | + | 9.14566i | −0.169017 | + | 0.292745i | ||||
\(977\) | −10.4108 | − | 2.78956i | −0.333070 | − | 0.0892458i | 0.0884084 | − | 0.996084i | \(-0.471822\pi\) |
−0.421478 | + | 0.906839i | \(0.638489\pi\) | |||||||
\(978\) | −1.23483 | + | 0.993044i | −0.0394856 | + | 0.0317540i | ||||
\(979\) | −23.9029 | − | 4.21473i | −0.763941 | − | 0.134703i | ||||
\(980\) | −11.1906 | + | 9.56619i | −0.357471 | + | 0.305581i | ||||
\(981\) | −21.3447 | + | 51.8168i | −0.681484 | + | 1.65438i | ||||
\(982\) | 3.20951 | + | 36.6849i | 0.102420 | + | 1.17066i | ||||
\(983\) | 13.4373 | + | 28.8163i | 0.428582 | + | 0.919097i | 0.995450 | + | 0.0952884i | \(0.0303773\pi\) |
−0.566868 | + | 0.823809i | \(0.691845\pi\) | |||||||
\(984\) | −4.12640 | − | 9.35317i | −0.131545 | − | 0.298168i | ||||
\(985\) | 56.4135 | − | 5.45701i | 1.79748 | − | 0.173875i | ||||
\(986\) | −41.4289 | + | 7.30503i | −1.31937 | + | 0.232640i | ||||
\(987\) | −8.82963 | + | 10.0881i | −0.281050 | + | 0.321109i | ||||
\(988\) | 15.3765 | − | 7.28255i | 0.489193 | − | 0.231689i | ||||
\(989\) | −17.1544 | −0.545477 | ||||||||
\(990\) | −4.38680 | + | 14.4723i | −0.139422 | + | 0.459961i | ||||
\(991\) | −24.9128 | + | 20.9043i | −0.791382 | + | 0.664048i | −0.946087 | − | 0.323913i | \(-0.895002\pi\) |
0.154705 | + | 0.987961i | \(0.450557\pi\) | |||||||
\(992\) | 1.43421 | − | 3.07567i | 0.0455361 | − | 0.0976525i | ||||
\(993\) | 35.2734 | − | 19.3965i | 1.11937 | − | 0.615530i | ||||
\(994\) | 1.10747 | − | 1.31983i | 0.0351269 | − | 0.0418626i | ||||
\(995\) | −14.9806 | + | 42.3631i | −0.474918 | + | 1.34300i | ||||
\(996\) | −4.15117 | + | 2.77959i | −0.131535 | + | 0.0880748i | ||||
\(997\) | −6.68539 | + | 4.68116i | −0.211728 | + | 0.148254i | −0.674631 | − | 0.738156i | \(-0.735697\pi\) |
0.462902 | + | 0.886409i | \(0.346808\pi\) | |||||||
\(998\) | −12.7985 | + | 8.96162i | −0.405130 | + | 0.283675i | ||||
\(999\) | 4.73977 | − | 4.18130i | 0.149960 | − | 0.132291i |
(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 | 570.2.bi.a.47.11 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.47.29 | yes | 480 | |
5.3 | odd | 4 | inner | 570.2.bi.a.503.1 | yes | 480 | |
15.8 | even | 4 | inner | 570.2.bi.a.503.22 | yes | 480 | |
19.17 | even | 9 | inner | 570.2.bi.a.17.22 | yes | 480 | |
57.17 | odd | 18 | inner | 570.2.bi.a.17.1 | ✓ | 480 | |
95.93 | odd | 36 | inner | 570.2.bi.a.473.29 | yes | 480 | |
285.188 | even | 36 | inner | 570.2.bi.a.473.11 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.17.1 | ✓ | 480 | 57.17 | odd | 18 | inner | |
570.2.bi.a.17.22 | yes | 480 | 19.17 | even | 9 | inner | |
570.2.bi.a.47.11 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.47.29 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.473.11 | yes | 480 | 285.188 | even | 36 | inner | |
570.2.bi.a.473.29 | yes | 480 | 95.93 | odd | 36 | inner | |
570.2.bi.a.503.1 | yes | 480 | 5.3 | odd | 4 | inner | |
570.2.bi.a.503.22 | yes | 480 | 15.8 | even | 4 | inner |