Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 701.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.701 |
Dual form | 950.2.l.c.351.1 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 0.266044 | + | 0.223238i | 0.153601 | + | 0.128886i | 0.716349 | − | 0.697742i | \(-0.245812\pi\) |
−0.562749 | + | 0.826628i | \(0.690256\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.266044 | + | 0.223238i | −0.108612 | + | 0.0911364i | ||||
\(7\) | 1.87939 | + | 3.25519i | 0.710341 | + | 1.23035i | 0.964729 | + | 0.263244i | \(0.0847925\pi\) |
−0.254388 | + | 0.967102i | \(0.581874\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.500000 | − | 2.83564i | −0.166667 | − | 0.945214i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.76604 | − | 4.79093i | 0.833994 | − | 1.44452i | −0.0608533 | − | 0.998147i | \(-0.519382\pi\) |
0.894847 | − | 0.446373i | \(-0.147284\pi\) | |||||||
\(12\) | −0.173648 | − | 0.300767i | −0.0501279 | − | 0.0868241i | ||||
\(13\) | 1.00000 | − | 0.839100i | 0.277350 | − | 0.232724i | −0.493492 | − | 0.869750i | \(-0.664280\pi\) |
0.770843 | + | 0.637026i | \(0.219836\pi\) | |||||||
\(14\) | −3.53209 | + | 1.28558i | −0.943990 | + | 0.343584i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 0.826352 | − | 4.68647i | 0.200420 | − | 1.13664i | −0.704066 | − | 0.710134i | \(-0.748634\pi\) |
0.904486 | − | 0.426503i | \(-0.140255\pi\) | |||||||
\(18\) | 2.87939 | 0.678678 | ||||||||
\(19\) | 2.77719 | + | 3.35965i | 0.637131 | + | 0.770756i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.226682 | + | 1.28558i | −0.0494660 | + | 0.280536i | ||||
\(22\) | 4.23783 | + | 3.55596i | 0.903508 | + | 0.758133i | ||||
\(23\) | −3.10607 | − | 1.13052i | −0.647660 | − | 0.235729i | −0.00276015 | − | 0.999996i | \(-0.500879\pi\) |
−0.644900 | + | 0.764267i | \(0.723101\pi\) | |||||||
\(24\) | 0.326352 | − | 0.118782i | 0.0666163 | − | 0.0242463i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.652704 | + | 1.13052i | 0.128006 | + | 0.221712i | ||||
\(27\) | 1.02094 | − | 1.76833i | 0.196481 | − | 0.340315i | ||||
\(28\) | −0.652704 | − | 3.70167i | −0.123349 | − | 0.699549i | ||||
\(29\) | −1.65270 | − | 9.37295i | −0.306899 | − | 1.74051i | −0.614427 | − | 0.788974i | \(-0.710613\pi\) |
0.307528 | − | 0.951539i | \(-0.400498\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.18479 | + | 5.51622i | 0.572006 | + | 0.990743i | 0.996360 | + | 0.0852466i | \(0.0271678\pi\) |
−0.424354 | + | 0.905496i | \(0.639499\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | 1.80541 | − | 0.657115i | 0.314281 | − | 0.114389i | ||||
\(34\) | 4.47178 | + | 1.62760i | 0.766904 | + | 0.279130i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | + | 2.83564i | −0.0833333 | + | 0.472607i | ||||
\(37\) | 4.00000 | 0.657596 | 0.328798 | − | 0.944400i | \(-0.393356\pi\) | ||||
0.328798 | + | 0.944400i | \(0.393356\pi\) | |||||||
\(38\) | −3.79086 | + | 2.15160i | −0.614959 | + | 0.349036i | ||||
\(39\) | 0.453363 | 0.0725962 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.13429 | + | 5.14728i | 0.958014 | + | 0.803870i | 0.980629 | − | 0.195875i | \(-0.0627546\pi\) |
−0.0226145 | + | 0.999744i | \(0.507199\pi\) | |||||||
\(42\) | −1.22668 | − | 0.446476i | −0.189281 | − | 0.0688927i | ||||
\(43\) | −6.77719 | + | 2.46669i | −1.03351 | + | 0.376167i | −0.802417 | − | 0.596764i | \(-0.796453\pi\) |
−0.231095 | + | 0.972931i | \(0.574231\pi\) | |||||||
\(44\) | −4.23783 | + | 3.55596i | −0.638876 | + | 0.536081i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.65270 | − | 2.86257i | 0.243678 | − | 0.422062i | ||||
\(47\) | 2.12061 | + | 12.0266i | 0.309323 | + | 1.75426i | 0.602422 | + | 0.798178i | \(0.294203\pi\) |
−0.293098 | + | 0.956082i | \(0.594686\pi\) | |||||||
\(48\) | 0.0603074 | + | 0.342020i | 0.00870462 | + | 0.0493664i | ||||
\(49\) | −3.56418 | + | 6.17334i | −0.509168 | + | 0.881905i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.26604 | − | 1.06234i | 0.177282 | − | 0.148757i | ||||
\(52\) | −1.22668 | + | 0.446476i | −0.170110 | + | 0.0619150i | ||||
\(53\) | 1.65270 | + | 0.601535i | 0.227016 | + | 0.0826272i | 0.453024 | − | 0.891498i | \(-0.350345\pi\) |
−0.226008 | + | 0.974126i | \(0.572567\pi\) | |||||||
\(54\) | 1.56418 | + | 1.31250i | 0.212858 | + | 0.178609i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.75877 | 0.502287 | ||||||||
\(57\) | −0.0111444 | + | 1.51379i | −0.00147611 | + | 0.200506i | ||||
\(58\) | 9.51754 | 1.24971 | ||||||||
\(59\) | 1.12314 | − | 6.36965i | 0.146221 | − | 0.829258i | −0.820159 | − | 0.572136i | \(-0.806115\pi\) |
0.966379 | − | 0.257121i | \(-0.0827740\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.10607 | + | 0.766546i | 0.269654 | + | 0.0981461i | 0.473308 | − | 0.880897i | \(-0.343060\pi\) |
−0.203654 | + | 0.979043i | \(0.565282\pi\) | |||||||
\(62\) | −5.98545 | + | 2.17853i | −0.760153 | + | 0.276673i | ||||
\(63\) | 8.29086 | − | 6.95686i | 1.04455 | − | 0.876482i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.333626 | + | 1.89209i | 0.0410665 | + | 0.232900i | ||||
\(67\) | −2.14930 | − | 12.1893i | −0.262579 | − | 1.48916i | −0.775842 | − | 0.630927i | \(-0.782675\pi\) |
0.513263 | − | 0.858231i | \(-0.328436\pi\) | |||||||
\(68\) | −2.37939 | + | 4.12122i | −0.288543 | + | 0.499771i | ||||
\(69\) | −0.573978 | − | 0.994159i | −0.0690988 | − | 0.119683i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.53209 | − | 2.01352i | 0.656538 | − | 0.238960i | 0.00779714 | − | 0.999970i | \(-0.497518\pi\) |
0.648741 | + | 0.761009i | \(0.275296\pi\) | |||||||
\(72\) | −2.70574 | − | 0.984808i | −0.318874 | − | 0.116061i | ||||
\(73\) | 0.890530 | + | 0.747243i | 0.104229 | + | 0.0874582i | 0.693413 | − | 0.720541i | \(-0.256106\pi\) |
−0.589184 | + | 0.807999i | \(0.700551\pi\) | |||||||
\(74\) | −0.694593 | + | 3.93923i | −0.0807448 | + | 0.457926i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.46064 | − | 4.10689i | −0.167547 | − | 0.471093i | ||||
\(77\) | 20.7939 | 2.36968 | ||||||||
\(78\) | −0.0787257 | + | 0.446476i | −0.00891393 | + | 0.0505534i | ||||
\(79\) | 6.75877 | + | 5.67128i | 0.760421 | + | 0.638069i | 0.938236 | − | 0.345995i | \(-0.112459\pi\) |
−0.177815 | + | 0.984064i | \(0.556903\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.45084 | + | 2.71188i | −0.827871 | + | 0.301320i | ||||
\(82\) | −6.13429 | + | 5.14728i | −0.677418 | + | 0.568422i | ||||
\(83\) | 6.06805 | + | 10.5102i | 0.666055 | + | 1.15364i | 0.978998 | + | 0.203869i | \(0.0653517\pi\) |
−0.312943 | + | 0.949772i | \(0.601315\pi\) | |||||||
\(84\) | 0.652704 | − | 1.13052i | 0.0712158 | − | 0.123349i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.25237 | − | 7.10257i | −0.135047 | − | 0.765889i | ||||
\(87\) | 1.65270 | − | 2.86257i | 0.177188 | − | 0.306899i | ||||
\(88\) | −2.76604 | − | 4.79093i | −0.294861 | − | 0.510715i | ||||
\(89\) | 8.62314 | − | 7.23567i | 0.914051 | − | 0.766980i | −0.0588343 | − | 0.998268i | \(-0.518738\pi\) |
0.972885 | + | 0.231288i | \(0.0742939\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.61081 | + | 1.67820i | 0.483345 | + | 0.175923i | ||||
\(92\) | 2.53209 | + | 2.12467i | 0.263989 | + | 0.221513i | ||||
\(93\) | −0.384133 | + | 2.17853i | −0.0398327 | + | 0.225903i | ||||
\(94\) | −12.2121 | −1.25959 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.347296 | −0.0354458 | ||||||||
\(97\) | 1.31180 | − | 7.43961i | 0.133194 | − | 0.755378i | −0.842907 | − | 0.538059i | \(-0.819158\pi\) |
0.976101 | − | 0.217319i | \(-0.0697311\pi\) | |||||||
\(98\) | −5.46064 | − | 4.58202i | −0.551608 | − | 0.462854i | ||||
\(99\) | −14.9684 | − | 5.44804i | −1.50438 | − | 0.547549i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −12.6040 | + | 10.5760i | −1.25415 | + | 1.05235i | −0.257865 | + | 0.966181i | \(0.583019\pi\) |
−0.996280 | + | 0.0861723i | \(0.972536\pi\) | |||||||
\(102\) | 0.826352 | + | 1.43128i | 0.0818210 | + | 0.141718i | ||||
\(103\) | −3.70233 | + | 6.41263i | −0.364802 | + | 0.631855i | −0.988744 | − | 0.149615i | \(-0.952197\pi\) |
0.623943 | + | 0.781470i | \(0.285530\pi\) | |||||||
\(104\) | −0.226682 | − | 1.28558i | −0.0222280 | − | 0.126061i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.879385 | + | 1.52314i | −0.0854134 | + | 0.147940i | ||||
\(107\) | −0.152704 | − | 0.264490i | −0.0147624 | − | 0.0255693i | 0.858550 | − | 0.512730i | \(-0.171366\pi\) |
−0.873312 | + | 0.487161i | \(0.838033\pi\) | |||||||
\(108\) | −1.56418 | + | 1.31250i | −0.150513 | + | 0.126295i | ||||
\(109\) | −14.4338 | + | 5.25346i | −1.38250 | + | 0.503190i | −0.922936 | − | 0.384953i | \(-0.874218\pi\) |
−0.459567 | + | 0.888143i | \(0.651996\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.06418 | + | 0.892951i | 0.101007 | + | 0.0847552i | ||||
\(112\) | −0.652704 | + | 3.70167i | −0.0616747 | + | 0.349775i | ||||
\(113\) | −8.22668 | −0.773901 | −0.386951 | − | 0.922100i | \(-0.626472\pi\) | ||||
−0.386951 | + | 0.922100i | \(0.626472\pi\) | |||||||
\(114\) | −1.48886 | − | 0.273842i | −0.139444 | − | 0.0256476i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.65270 | + | 9.37295i | −0.153450 | + | 0.870256i | ||||
\(117\) | −2.87939 | − | 2.41609i | −0.266199 | − | 0.223368i | ||||
\(118\) | 6.07785 | + | 2.21216i | 0.559511 | + | 0.203645i | ||||
\(119\) | 16.8084 | − | 6.11776i | 1.54082 | − | 0.560814i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.80200 | − | 16.9776i | −0.891091 | − | 1.54342i | ||||
\(122\) | −1.12061 | + | 1.94096i | −0.101456 | + | 0.175726i | ||||
\(123\) | 0.482926 | + | 2.73881i | 0.0435440 | + | 0.246950i | ||||
\(124\) | −1.10607 | − | 6.27282i | −0.0993277 | − | 0.563316i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 5.41147 | + | 9.37295i | 0.482092 | + | 0.835009i | ||||
\(127\) | −0.347296 | + | 0.291416i | −0.0308176 | + | 0.0258590i | −0.658066 | − | 0.752960i | \(-0.728625\pi\) |
0.627249 | + | 0.778819i | \(0.284181\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | −2.35369 | − | 0.856674i | −0.207231 | − | 0.0754260i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.648833 | + | 3.67972i | −0.0566888 | + | 0.321498i | −0.999944 | − | 0.0105701i | \(-0.996635\pi\) |
0.943255 | + | 0.332068i | \(0.107746\pi\) | |||||||
\(132\) | −1.92127 | −0.167225 | ||||||||
\(133\) | −5.71688 | + | 15.3543i | −0.495716 | + | 1.33139i | ||||
\(134\) | 12.3773 | 1.06924 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.64543 | − | 3.05888i | −0.312593 | − | 0.262297i | ||||
\(137\) | −9.72328 | − | 3.53898i | −0.830716 | − | 0.302356i | −0.108563 | − | 0.994090i | \(-0.534625\pi\) |
−0.722153 | + | 0.691734i | \(0.756847\pi\) | |||||||
\(138\) | 1.07873 | − | 0.392624i | 0.0918272 | − | 0.0334224i | ||||
\(139\) | 1.50387 | − | 1.26190i | 0.127557 | − | 0.107033i | −0.576778 | − | 0.816901i | \(-0.695690\pi\) |
0.704334 | + | 0.709868i | \(0.251246\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.12061 | + | 3.67301i | −0.178588 | + | 0.309323i | ||||
\(142\) | 1.02229 | + | 5.79769i | 0.0857886 | + | 0.486531i | ||||
\(143\) | −1.25402 | − | 7.11192i | −0.104867 | − | 0.594728i | ||||
\(144\) | 1.43969 | − | 2.49362i | 0.119974 | − | 0.207802i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.890530 | + | 0.747243i | −0.0737008 | + | 0.0618423i | ||||
\(147\) | −2.32635 | + | 0.846723i | −0.191874 | + | 0.0698365i | ||||
\(148\) | −3.75877 | − | 1.36808i | −0.308969 | − | 0.112456i | ||||
\(149\) | 10.4534 | + | 8.77141i | 0.856373 | + | 0.718582i | 0.961183 | − | 0.275910i | \(-0.0889792\pi\) |
−0.104811 | + | 0.994492i | \(0.533424\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.63041 | −0.132681 | −0.0663406 | − | 0.997797i | \(-0.521132\pi\) | ||||
−0.0663406 | + | 0.997797i | \(0.521132\pi\) | |||||||
\(152\) | 4.29813 | − | 0.725293i | 0.348625 | − | 0.0588290i | ||||
\(153\) | −13.7023 | −1.10777 | ||||||||
\(154\) | −3.61081 | + | 20.4779i | −0.290968 | + | 1.65016i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.426022 | − | 0.155059i | −0.0341091 | − | 0.0124147i | ||||
\(157\) | 5.86484 | − | 2.13463i | 0.468065 | − | 0.170362i | −0.0972106 | − | 0.995264i | \(-0.530992\pi\) |
0.565276 | + | 0.824902i | \(0.308770\pi\) | |||||||
\(158\) | −6.75877 | + | 5.67128i | −0.537699 | + | 0.451183i | ||||
\(159\) | 0.305407 | + | 0.528981i | 0.0242204 | + | 0.0419509i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.15745 | − | 12.2355i | −0.170031 | − | 0.964294i | ||||
\(162\) | −1.37686 | − | 7.80856i | −0.108176 | − | 0.613498i | ||||
\(163\) | 1.82635 | − | 3.16333i | 0.143051 | − | 0.247771i | −0.785593 | − | 0.618743i | \(-0.787642\pi\) |
0.928644 | + | 0.370972i | \(0.120975\pi\) | |||||||
\(164\) | −4.00387 | − | 6.93491i | −0.312650 | − | 0.541525i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.4042 | + | 4.15079i | −0.885138 | + | 0.322164i | ||||
\(167\) | −15.0865 | − | 5.49102i | −1.16743 | − | 0.424908i | −0.315681 | − | 0.948865i | \(-0.602233\pi\) |
−0.851745 | + | 0.523957i | \(0.824455\pi\) | |||||||
\(168\) | 1.00000 | + | 0.839100i | 0.0771517 | + | 0.0647379i | ||||
\(169\) | −1.96151 | + | 11.1243i | −0.150886 | + | 0.855716i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 8.13816 | − | 9.55493i | 0.622340 | − | 0.730684i | ||||
\(172\) | 7.21213 | 0.549920 | ||||||||
\(173\) | 0.125667 | − | 0.712694i | 0.00955430 | − | 0.0541851i | −0.979658 | − | 0.200675i | \(-0.935686\pi\) |
0.989212 | + | 0.146490i | \(0.0467976\pi\) | |||||||
\(174\) | 2.53209 | + | 2.12467i | 0.191957 | + | 0.161071i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.19846 | − | 1.89209i | 0.391849 | − | 0.142621i | ||||
\(177\) | 1.72075 | − | 1.44388i | 0.129340 | − | 0.108529i | ||||
\(178\) | 5.62836 | + | 9.74860i | 0.421863 | + | 0.730688i | ||||
\(179\) | −2.40760 | + | 4.17009i | −0.179953 | + | 0.311687i | −0.941864 | − | 0.335994i | \(-0.890928\pi\) |
0.761911 | + | 0.647681i | \(0.224261\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.539830 | + | 3.06153i | 0.0401252 | + | 0.227561i | 0.998275 | − | 0.0587046i | \(-0.0186970\pi\) |
−0.958150 | + | 0.286266i | \(0.907586\pi\) | |||||||
\(182\) | −2.45336 | + | 4.24935i | −0.181855 | + | 0.314983i | ||||
\(183\) | 0.389185 | + | 0.674089i | 0.0287694 | + | 0.0498301i | ||||
\(184\) | −2.53209 | + | 2.12467i | −0.186668 | + | 0.156633i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −2.07873 | − | 0.756594i | −0.152420 | − | 0.0554762i | ||||
\(187\) | −20.1668 | − | 16.9220i | −1.47475 | − | 1.23746i | ||||
\(188\) | 2.12061 | − | 12.0266i | 0.154662 | − | 0.877130i | ||||
\(189\) | 7.67499 | 0.558274 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.6655 | −0.771728 | −0.385864 | − | 0.922556i | \(-0.626097\pi\) | ||||
−0.385864 | + | 0.922556i | \(0.626097\pi\) | |||||||
\(192\) | 0.0603074 | − | 0.342020i | 0.00435231 | − | 0.0246832i | ||||
\(193\) | −14.3701 | − | 12.0579i | −1.03438 | − | 0.867947i | −0.0430135 | − | 0.999074i | \(-0.513696\pi\) |
−0.991366 | + | 0.131127i | \(0.958140\pi\) | |||||||
\(194\) | 7.09879 | + | 2.58375i | 0.509664 | + | 0.185502i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.46064 | − | 4.58202i | 0.390046 | − | 0.327287i | ||||
\(197\) | −5.47565 | − | 9.48411i | −0.390124 | − | 0.675715i | 0.602342 | − | 0.798238i | \(-0.294235\pi\) |
−0.992466 | + | 0.122524i | \(0.960901\pi\) | |||||||
\(198\) | 7.96451 | − | 13.7949i | 0.566013 | − | 0.980363i | ||||
\(199\) | −1.15570 | − | 6.55428i | −0.0819252 | − | 0.464621i | −0.997978 | − | 0.0635627i | \(-0.979754\pi\) |
0.916053 | − | 0.401058i | \(-0.131357\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.14930 | − | 3.72270i | 0.151600 | − | 0.262579i | ||||
\(202\) | −8.22668 | − | 14.2490i | −0.578827 | − | 1.00256i | ||||
\(203\) | 27.4047 | − | 22.9952i | 1.92343 | − | 1.61395i | ||||
\(204\) | −1.55303 | + | 0.565258i | −0.108734 | + | 0.0395760i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −5.67230 | − | 4.75963i | −0.395208 | − | 0.331619i | ||||
\(207\) | −1.65270 | + | 9.37295i | −0.114871 | + | 0.651465i | ||||
\(208\) | 1.30541 | 0.0905137 | ||||||||
\(209\) | 23.7777 | − | 4.01239i | 1.64473 | − | 0.277542i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.50640 | − | 19.8858i | 0.241390 | − | 1.36899i | −0.587338 | − | 0.809342i | \(-0.699824\pi\) |
0.828729 | − | 0.559651i | \(-0.189065\pi\) | |||||||
\(212\) | −1.34730 | − | 1.13052i | −0.0925327 | − | 0.0776441i | ||||
\(213\) | 1.92127 | + | 0.699287i | 0.131644 | + | 0.0479143i | ||||
\(214\) | 0.286989 | − | 0.104455i | 0.0196182 | − | 0.00714043i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.02094 | − | 1.76833i | −0.0694665 | − | 0.120319i | ||||
\(217\) | −11.9709 | + | 20.7342i | −0.812638 | + | 1.40753i | ||||
\(218\) | −2.66725 | − | 15.1267i | −0.180649 | − | 1.02451i | ||||
\(219\) | 0.0701076 | + | 0.397600i | 0.00473743 | + | 0.0268673i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.10607 | − | 5.37987i | −0.208937 | − | 0.361889i | ||||
\(222\) | −1.06418 | + | 0.892951i | −0.0714229 | + | 0.0599310i | ||||
\(223\) | 14.7023 | − | 5.35121i | 0.984541 | − | 0.358344i | 0.200937 | − | 0.979604i | \(-0.435601\pi\) |
0.783604 | + | 0.621261i | \(0.213379\pi\) | |||||||
\(224\) | −3.53209 | − | 1.28558i | −0.235998 | − | 0.0858961i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.42855 | − | 8.10170i | 0.0950256 | − | 0.538917i | ||||
\(227\) | 8.54488 | 0.567144 | 0.283572 | − | 0.958951i | \(-0.408481\pi\) | ||||
0.283572 | + | 0.958951i | \(0.408481\pi\) | |||||||
\(228\) | 0.528218 | − | 1.41868i | 0.0349821 | − | 0.0939547i | ||||
\(229\) | −4.11287 | −0.271786 | −0.135893 | − | 0.990723i | \(-0.543390\pi\) | ||||
−0.135893 | + | 0.990723i | \(0.543390\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.53209 | + | 4.64197i | 0.363985 | + | 0.305419i | ||||
\(232\) | −8.94356 | − | 3.25519i | −0.587174 | − | 0.213714i | ||||
\(233\) | 2.36319 | − | 0.860130i | 0.154818 | − | 0.0563490i | −0.263449 | − | 0.964673i | \(-0.584860\pi\) |
0.418267 | + | 0.908324i | \(0.362638\pi\) | |||||||
\(234\) | 2.87939 | − | 2.41609i | 0.188231 | − | 0.157945i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −3.23396 | + | 5.60138i | −0.210513 | + | 0.364618i | ||||
\(237\) | 0.532089 | + | 3.01763i | 0.0345629 | + | 0.196016i | ||||
\(238\) | 3.10607 | + | 17.6154i | 0.201336 | + | 1.14184i | ||||
\(239\) | 4.65270 | − | 8.05872i | 0.300958 | − | 0.521275i | −0.675395 | − | 0.737456i | \(-0.736027\pi\) |
0.976353 | + | 0.216181i | \(0.0693601\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.45858 | + | 4.58029i | −0.351618 | + | 0.295042i | −0.801439 | − | 0.598076i | \(-0.795932\pi\) |
0.449821 | + | 0.893119i | \(0.351488\pi\) | |||||||
\(242\) | 18.4217 | − | 6.70497i | 1.18419 | − | 0.431012i | ||||
\(243\) | −8.34389 | − | 3.03693i | −0.535261 | − | 0.194819i | ||||
\(244\) | −1.71688 | − | 1.44063i | −0.109912 | − | 0.0922272i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.78106 | −0.177314 | ||||||||
\(247\) | 5.59627 | + | 1.02931i | 0.356082 | + | 0.0654933i | ||||
\(248\) | 6.36959 | 0.404469 | ||||||||
\(249\) | −0.731896 | + | 4.15079i | −0.0463820 | + | 0.263046i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −15.5239 | − | 5.65025i | −0.979862 | − | 0.356641i | −0.198076 | − | 0.980187i | \(-0.563469\pi\) |
−0.781787 | + | 0.623546i | \(0.785691\pi\) | |||||||
\(252\) | −10.1702 | + | 3.70167i | −0.640665 | + | 0.233183i | ||||
\(253\) | −14.0077 | + | 11.7539i | −0.880659 | + | 0.738961i | ||||
\(254\) | −0.226682 | − | 0.392624i | −0.0142233 | − | 0.0246354i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 1.54782 | + | 8.77812i | 0.0965503 | + | 0.547564i | 0.994261 | + | 0.106979i | \(0.0341178\pi\) |
−0.897711 | + | 0.440585i | \(0.854771\pi\) | |||||||
\(258\) | 1.25237 | − | 2.16918i | 0.0779694 | − | 0.135047i | ||||
\(259\) | 7.51754 | + | 13.0208i | 0.467117 | + | 0.809071i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −25.7520 | + | 9.37295i | −1.59401 | + | 0.580171i | ||||
\(262\) | −3.51114 | − | 1.27795i | −0.216919 | − | 0.0789521i | ||||
\(263\) | 7.53983 | + | 6.32667i | 0.464926 | + | 0.390119i | 0.844940 | − | 0.534862i | \(-0.179636\pi\) |
−0.380014 | + | 0.924981i | \(0.624081\pi\) | |||||||
\(264\) | 0.333626 | − | 1.89209i | 0.0205332 | − | 0.116450i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −14.1284 | − | 8.29628i | −0.866265 | − | 0.508678i | ||||
\(267\) | 3.90941 | 0.239252 | ||||||||
\(268\) | −2.14930 | + | 12.1893i | −0.131289 | + | 0.744579i | ||||
\(269\) | −6.41147 | − | 5.37987i | −0.390914 | − | 0.328016i | 0.426055 | − | 0.904697i | \(-0.359903\pi\) |
−0.816969 | + | 0.576681i | \(0.804348\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.19934 | + | 0.436524i | −0.0728547 | + | 0.0265170i | −0.378190 | − | 0.925728i | \(-0.623454\pi\) |
0.305336 | + | 0.952245i | \(0.401231\pi\) | |||||||
\(272\) | 3.64543 | − | 3.05888i | 0.221037 | − | 0.185472i | ||||
\(273\) | 0.852044 | + | 1.47578i | 0.0515681 | + | 0.0893185i | ||||
\(274\) | 5.17365 | − | 8.96102i | 0.312552 | − | 0.541355i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.199340 | + | 1.13052i | 0.0119989 | + | 0.0680491i | ||||
\(277\) | −3.54664 | + | 6.14296i | −0.213097 | + | 0.369094i | −0.952682 | − | 0.303968i | \(-0.901688\pi\) |
0.739585 | + | 0.673063i | \(0.235022\pi\) | |||||||
\(278\) | 0.981582 | + | 1.70015i | 0.0588714 | + | 0.101968i | ||||
\(279\) | 14.0496 | − | 11.7890i | 0.841129 | − | 0.705791i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.4033 | + | 7.06223i | 1.15751 | + | 0.421297i | 0.848206 | − | 0.529667i | \(-0.177683\pi\) |
0.309300 | + | 0.950965i | \(0.399905\pi\) | |||||||
\(282\) | −3.24897 | − | 2.72621i | −0.193473 | − | 0.162343i | ||||
\(283\) | 2.45858 | − | 13.9433i | 0.146147 | − | 0.828842i | −0.820292 | − | 0.571946i | \(-0.806189\pi\) |
0.966439 | − | 0.256897i | \(-0.0827001\pi\) | |||||||
\(284\) | −5.88713 | −0.349337 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.22163 | 0.427024 | ||||||||
\(287\) | −5.22668 | + | 29.6420i | −0.308521 | + | 1.74971i | ||||
\(288\) | 2.20574 | + | 1.85083i | 0.129974 | + | 0.109061i | ||||
\(289\) | −5.30541 | − | 1.93101i | −0.312083 | − | 0.113589i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.00980 | − | 1.68642i | 0.117817 | − | 0.0988598i | ||||
\(292\) | −0.581252 | − | 1.00676i | −0.0340152 | − | 0.0589160i | ||||
\(293\) | −11.5253 | + | 19.9624i | −0.673314 | + | 1.16621i | 0.303644 | + | 0.952785i | \(0.401797\pi\) |
−0.976959 | + | 0.213429i | \(0.931537\pi\) | |||||||
\(294\) | −0.429892 | − | 2.43804i | −0.0250718 | − | 0.142189i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.00000 | − | 3.46410i | 0.116248 | − | 0.201347i | ||||
\(297\) | −5.64796 | − | 9.78255i | −0.327728 | − | 0.567641i | ||||
\(298\) | −10.4534 | + | 8.77141i | −0.605547 | + | 0.508114i | ||||
\(299\) | −4.05468 | + | 1.47578i | −0.234488 | + | 0.0853468i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −20.7665 | − | 17.4252i | −1.19696 | − | 1.00437i | ||||
\(302\) | 0.283119 | − | 1.60565i | 0.0162916 | − | 0.0923945i | ||||
\(303\) | −5.71419 | −0.328272 | ||||||||
\(304\) | −0.0320889 | + | 4.35878i | −0.00184042 | + | 0.249993i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 2.37939 | − | 13.4942i | 0.136020 | − | 0.771410i | ||||
\(307\) | −3.23783 | − | 2.71686i | −0.184792 | − | 0.155059i | 0.545699 | − | 0.837982i | \(-0.316264\pi\) |
−0.730491 | + | 0.682922i | \(0.760709\pi\) | |||||||
\(308\) | −19.5398 | − | 7.11192i | −1.11339 | − | 0.405239i | ||||
\(309\) | −2.41653 | + | 0.879544i | −0.137471 | + | 0.0500355i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.18479 | + | 7.24827i | 0.237298 | + | 0.411012i | 0.959938 | − | 0.280213i | \(-0.0904049\pi\) |
−0.722640 | + | 0.691224i | \(0.757072\pi\) | |||||||
\(312\) | 0.226682 | − | 0.392624i | 0.0128333 | − | 0.0222280i | ||||
\(313\) | 3.20146 | + | 18.1564i | 0.180957 | + | 1.02626i | 0.931041 | + | 0.364915i | \(0.118902\pi\) |
−0.750084 | + | 0.661343i | \(0.769987\pi\) | |||||||
\(314\) | 1.08378 | + | 6.14641i | 0.0611611 | + | 0.346862i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.41147 | − | 7.64090i | −0.248165 | − | 0.429834i | ||||
\(317\) | 23.7743 | − | 19.9490i | 1.33530 | − | 1.12045i | 0.352487 | − | 0.935817i | \(-0.385336\pi\) |
0.982808 | − | 0.184629i | \(-0.0591083\pi\) | |||||||
\(318\) | −0.573978 | + | 0.208911i | −0.0321871 | + | 0.0117151i | ||||
\(319\) | −49.4766 | − | 18.0080i | −2.77016 | − | 1.00825i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.0184183 | − | 0.104455i | 0.00102801 | − | 0.00583013i | ||||
\(322\) | 12.4243 | 0.692377 | ||||||||
\(323\) | 18.0398 | − | 10.2390i | 1.00376 | − | 0.569712i | ||||
\(324\) | 7.92902 | 0.440501 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 2.79813 | + | 2.34791i | 0.154974 | + | 0.130039i | ||||
\(327\) | −5.01279 | − | 1.82451i | −0.277208 | − | 0.100895i | ||||
\(328\) | 7.52481 | − | 2.73881i | 0.415488 | − | 0.151225i | ||||
\(329\) | −35.1634 | + | 29.5056i | −1.93862 | + | 1.62670i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.29813 | − | 7.44459i | 0.236247 | − | 0.409191i | −0.723388 | − | 0.690442i | \(-0.757416\pi\) |
0.959634 | + | 0.281251i | \(0.0907493\pi\) | |||||||
\(332\) | −2.10741 | − | 11.9517i | −0.115659 | − | 0.655936i | ||||
\(333\) | −2.00000 | − | 11.3426i | −0.109599 | − | 0.621569i | ||||
\(334\) | 8.02734 | − | 13.9038i | 0.439237 | − | 0.760780i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1.00000 | + | 0.839100i | −0.0545545 | + | 0.0457766i | ||||
\(337\) | −30.0219 | + | 10.9271i | −1.63540 | + | 0.595235i | −0.986225 | − | 0.165407i | \(-0.947106\pi\) |
−0.649171 | + | 0.760643i | \(0.724884\pi\) | |||||||
\(338\) | −10.6147 | − | 3.86343i | −0.577363 | − | 0.210143i | ||||
\(339\) | −2.18866 | − | 1.83651i | −0.118872 | − | 0.0997453i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 35.2371 | 1.90820 | ||||||||
\(342\) | 7.99660 | + | 9.67372i | 0.432406 | + | 0.523095i | ||||
\(343\) | −0.482459 | −0.0260503 | ||||||||
\(344\) | −1.25237 | + | 7.10257i | −0.0675235 | + | 0.382945i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.680045 | + | 0.247516i | 0.0365594 | + | 0.0133065i | ||||
\(347\) | 4.25624 | − | 1.54915i | 0.228487 | − | 0.0831625i | −0.225240 | − | 0.974303i | \(-0.572316\pi\) |
0.453727 | + | 0.891141i | \(0.350094\pi\) | |||||||
\(348\) | −2.53209 | + | 2.12467i | −0.135734 | + | 0.113895i | ||||
\(349\) | 13.5621 | + | 23.4903i | 0.725964 | + | 1.25741i | 0.958576 | + | 0.284836i | \(0.0919392\pi\) |
−0.232613 | + | 0.972569i | \(0.574727\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.462859 | − | 2.62500i | −0.0247056 | − | 0.140112i | ||||
\(352\) | 0.960637 | + | 5.44804i | 0.0512021 | + | 0.290382i | ||||
\(353\) | 9.86097 | − | 17.0797i | 0.524846 | − | 0.909060i | −0.474735 | − | 0.880129i | \(-0.657456\pi\) |
0.999581 | − | 0.0289317i | \(-0.00921054\pi\) | |||||||
\(354\) | 1.12314 | + | 1.94534i | 0.0596943 | + | 0.103394i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −10.5778 | + | 3.85002i | −0.560625 | + | 0.204051i | ||||
\(357\) | 5.83750 | + | 2.12467i | 0.308953 | + | 0.112450i | ||||
\(358\) | −3.68866 | − | 3.09516i | −0.194952 | − | 0.163584i | ||||
\(359\) | −3.78611 | + | 21.4721i | −0.199823 | + | 1.13325i | 0.705557 | + | 0.708653i | \(0.250697\pi\) |
−0.905380 | + | 0.424601i | \(0.860414\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.57444 | + | 18.6607i | −0.188129 | + | 0.982144i | ||||
\(362\) | −3.10876 | −0.163393 | ||||||||
\(363\) | 1.18227 | − | 6.70497i | 0.0620529 | − | 0.351919i | ||||
\(364\) | −3.75877 | − | 3.15398i | −0.197013 | − | 0.165314i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.731429 | + | 0.266219i | −0.0382324 | + | 0.0139155i | ||||
\(367\) | 2.81521 | − | 2.36224i | 0.146953 | − | 0.123308i | −0.566348 | − | 0.824166i | \(-0.691644\pi\) |
0.713300 | + | 0.700859i | \(0.247200\pi\) | |||||||
\(368\) | −1.65270 | − | 2.86257i | −0.0861531 | − | 0.149222i | ||||
\(369\) | 11.5287 | − | 19.9683i | 0.600159 | − | 1.03951i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.14796 | + | 6.51038i | 0.0595989 | + | 0.338002i | ||||
\(372\) | 1.10607 | − | 1.91576i | 0.0573469 | − | 0.0993277i | ||||
\(373\) | 6.58853 | + | 11.4117i | 0.341141 | + | 0.590873i | 0.984645 | − | 0.174569i | \(-0.0558533\pi\) |
−0.643504 | + | 0.765443i | \(0.722520\pi\) | |||||||
\(374\) | 20.1668 | − | 16.9220i | 1.04280 | − | 0.875015i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.4757 | + | 4.17680i | 0.591812 | + | 0.215402i | ||||
\(377\) | −9.51754 | − | 7.98617i | −0.490178 | − | 0.411308i | ||||
\(378\) | −1.33275 | + | 7.55839i | −0.0685492 | + | 0.388762i | ||||
\(379\) | 11.2918 | 0.580020 | 0.290010 | − | 0.957024i | \(-0.406341\pi\) | ||||
0.290010 | + | 0.957024i | \(0.406341\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.157451 | −0.00806648 | ||||||||
\(382\) | 1.85204 | − | 10.5035i | 0.0947588 | − | 0.537404i | ||||
\(383\) | −19.6759 | − | 16.5101i | −1.00539 | − | 0.843625i | −0.0176704 | − | 0.999844i | \(-0.505625\pi\) |
−0.987722 | + | 0.156219i | \(0.950069\pi\) | |||||||
\(384\) | 0.326352 | + | 0.118782i | 0.0166541 | + | 0.00606159i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 14.3701 | − | 12.0579i | 0.731416 | − | 0.613731i | ||||
\(387\) | 10.3833 | + | 17.9843i | 0.527811 | + | 0.914195i | ||||
\(388\) | −3.77719 | + | 6.54228i | −0.191758 | + | 0.332134i | ||||
\(389\) | −1.79797 | − | 10.1968i | −0.0911608 | − | 0.516998i | −0.995856 | − | 0.0909399i | \(-0.971013\pi\) |
0.904696 | − | 0.426058i | \(-0.140098\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.86484 | + | 13.6223i | −0.397742 | + | 0.688909i | ||||
\(392\) | 3.56418 | + | 6.17334i | 0.180018 | + | 0.311801i | ||||
\(393\) | −0.994070 | + | 0.834124i | −0.0501442 | + | 0.0420760i | ||||
\(394\) | 10.2909 | − | 3.74557i | 0.518446 | − | 0.188699i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 12.2023 | + | 10.2390i | 0.613190 | + | 0.514528i | ||||
\(397\) | −1.65776 | + | 9.40160i | −0.0832004 | + | 0.471853i | 0.914530 | + | 0.404518i | \(0.132561\pi\) |
−0.997730 | + | 0.0673349i | \(0.978550\pi\) | |||||||
\(398\) | 6.65539 | 0.333605 | ||||||||
\(399\) | −4.94862 | + | 2.80872i | −0.247741 | + | 0.140612i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.20187 | + | 29.5013i | −0.259769 | + | 1.47322i | 0.523760 | + | 0.851866i | \(0.324529\pi\) |
−0.783528 | + | 0.621356i | \(0.786582\pi\) | |||||||
\(402\) | 3.29292 | + | 2.76309i | 0.164236 | + | 0.137810i | ||||
\(403\) | 7.81345 | + | 2.84386i | 0.389216 | + | 0.141663i | ||||
\(404\) | 15.4611 | − | 5.62738i | 0.769219 | − | 0.279973i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 17.8871 | + | 30.9814i | 0.887723 | + | 1.53758i | ||||
\(407\) | 11.0642 | − | 19.1637i | 0.548431 | − | 0.949910i | ||||
\(408\) | −0.286989 | − | 1.62760i | −0.0142081 | − | 0.0805780i | ||||
\(409\) | 4.27110 | + | 24.2226i | 0.211192 | + | 1.19773i | 0.887393 | + | 0.461013i | \(0.152514\pi\) |
−0.676201 | + | 0.736717i | \(0.736375\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.79679 | − | 3.11213i | −0.0886291 | − | 0.153510i | ||||
\(412\) | 5.67230 | − | 4.75963i | 0.279454 | − | 0.234490i | ||||
\(413\) | 22.8452 | − | 8.31499i | 1.12414 | − | 0.409154i | ||||
\(414\) | −8.94356 | − | 3.25519i | −0.439552 | − | 0.159984i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.226682 | + | 1.28558i | −0.0111140 | + | 0.0630305i | ||||
\(417\) | 0.681799 | 0.0333879 | ||||||||
\(418\) | −0.177519 | + | 24.1132i | −0.00868272 | + | 1.17941i | ||||
\(419\) | −11.8075 | −0.576832 | −0.288416 | − | 0.957505i | \(-0.593129\pi\) | ||||
−0.288416 | + | 0.957505i | \(0.593129\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.66044 | − | 3.91058i | −0.227136 | − | 0.190590i | 0.522116 | − | 0.852874i | \(-0.325143\pi\) |
−0.749253 | + | 0.662284i | \(0.769587\pi\) | |||||||
\(422\) | 18.9748 | + | 6.90625i | 0.923678 | + | 0.336191i | ||||
\(423\) | 33.0428 | − | 12.0266i | 1.60660 | − | 0.584753i | ||||
\(424\) | 1.34730 | − | 1.13052i | 0.0654305 | − | 0.0549027i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −1.02229 | + | 1.77066i | −0.0495300 | + | 0.0857886i | ||||
\(427\) | 1.46286 | + | 8.29628i | 0.0707927 | + | 0.401485i | ||||
\(428\) | 0.0530334 | + | 0.300767i | 0.00256347 | + | 0.0145381i | ||||
\(429\) | 1.25402 | − | 2.17203i | 0.0605448 | − | 0.104867i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −9.98545 | + | 8.37879i | −0.480982 | + | 0.403592i | −0.850781 | − | 0.525520i | \(-0.823871\pi\) |
0.369799 | + | 0.929112i | \(0.379426\pi\) | |||||||
\(432\) | 1.91875 | − | 0.698367i | 0.0923158 | − | 0.0336002i | ||||
\(433\) | −24.9145 | − | 9.06812i | −1.19731 | − | 0.435786i | −0.335027 | − | 0.942208i | \(-0.608746\pi\) |
−0.862286 | + | 0.506422i | \(0.830968\pi\) | |||||||
\(434\) | −18.3405 | − | 15.3895i | −0.880372 | − | 0.738720i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 15.3601 | 0.735615 | ||||||||
\(437\) | −4.82800 | − | 13.5749i | −0.230955 | − | 0.649378i | ||||
\(438\) | −0.403733 | −0.0192911 | ||||||||
\(439\) | −6.15064 | + | 34.8820i | −0.293554 | + | 1.66483i | 0.379467 | + | 0.925205i | \(0.376107\pi\) |
−0.673021 | + | 0.739623i | \(0.735004\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 19.2875 | + | 7.02006i | 0.918450 | + | 0.334289i | ||||
\(442\) | 5.83750 | − | 2.12467i | 0.277661 | − | 0.101060i | ||||
\(443\) | −22.8136 | + | 19.1429i | −1.08391 | + | 0.909506i | −0.996239 | − | 0.0866433i | \(-0.972386\pi\) |
−0.0876682 | + | 0.996150i | \(0.527942\pi\) | |||||||
\(444\) | −0.694593 | − | 1.20307i | −0.0329639 | − | 0.0570952i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 2.71688 | + | 15.4082i | 0.128648 | + | 0.729599i | ||||
\(447\) | 0.822948 | + | 4.66717i | 0.0389241 | + | 0.220750i | ||||
\(448\) | 1.87939 | − | 3.25519i | 0.0887926 | − | 0.153793i | ||||
\(449\) | −14.5655 | − | 25.2282i | −0.687389 | − | 1.19059i | −0.972679 | − | 0.232152i | \(-0.925423\pi\) |
0.285290 | − | 0.958441i | \(-0.407910\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 41.6279 | − | 15.1513i | 1.96018 | − | 0.713448i | ||||
\(452\) | 7.73055 | + | 2.81369i | 0.363615 | + | 0.132345i | ||||
\(453\) | −0.433763 | − | 0.363970i | −0.0203800 | − | 0.0171008i | ||||
\(454\) | −1.48380 | + | 8.41507i | −0.0696383 | + | 0.394939i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.30541 | + | 0.766546i | 0.0611313 | + | 0.0358968i | ||||
\(457\) | −23.4807 | −1.09838 | −0.549191 | − | 0.835697i | \(-0.685064\pi\) | ||||
−0.549191 | + | 0.835697i | \(0.685064\pi\) | |||||||
\(458\) | 0.714193 | − | 4.05039i | 0.0333721 | − | 0.189262i | ||||
\(459\) | −7.44356 | − | 6.24589i | −0.347436 | − | 0.291533i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.85204 | − | 1.76600i | 0.225982 | − | 0.0822508i | −0.226548 | − | 0.974000i | \(-0.572744\pi\) |
0.452530 | + | 0.891749i | \(0.350522\pi\) | |||||||
\(462\) | −5.53209 | + | 4.64197i | −0.257376 | + | 0.215964i | ||||
\(463\) | 12.5621 | + | 21.7582i | 0.583811 | + | 1.01119i | 0.995022 | + | 0.0996505i | \(0.0317725\pi\) |
−0.411211 | + | 0.911540i | \(0.634894\pi\) | |||||||
\(464\) | 4.75877 | − | 8.24243i | 0.220920 | − | 0.382645i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.436700 | + | 2.47665i | 0.0202297 | + | 0.114728i | ||||
\(467\) | −10.3093 | + | 17.8562i | −0.477056 | + | 0.826286i | −0.999654 | − | 0.0262933i | \(-0.991630\pi\) |
0.522598 | + | 0.852579i | \(0.324963\pi\) | |||||||
\(468\) | 1.87939 | + | 3.25519i | 0.0868746 | + | 0.150471i | ||||
\(469\) | 35.6391 | − | 29.9047i | 1.64566 | − | 1.38087i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.03684 | + | 0.741348i | 0.0938525 | + | 0.0341595i | ||||
\(472\) | −4.95471 | − | 4.15749i | −0.228059 | − | 0.191364i | ||||
\(473\) | −6.92824 | + | 39.2920i | −0.318561 | + | 1.80665i | ||||
\(474\) | −3.06418 | −0.140742 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −17.8871 | −0.819855 | ||||||||
\(477\) | 0.879385 | − | 4.98724i | 0.0402643 | − | 0.228350i | ||||
\(478\) | 7.12836 | + | 5.98140i | 0.326043 | + | 0.273583i | ||||
\(479\) | 10.8648 | + | 3.95448i | 0.496427 | + | 0.180685i | 0.578086 | − | 0.815976i | \(-0.303800\pi\) |
−0.0816592 | + | 0.996660i | \(0.526022\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.00000 | − | 3.35640i | 0.182384 | − | 0.153039i | ||||
\(482\) | −3.56283 | − | 6.17101i | −0.162283 | − | 0.281082i | ||||
\(483\) | 2.15745 | − | 3.73682i | 0.0981674 | − | 0.170031i | ||||
\(484\) | 3.40420 | + | 19.3062i | 0.154736 | + | 0.877554i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 4.43969 | − | 7.68977i | 0.201389 | − | 0.348815i | ||||
\(487\) | 2.45336 | + | 4.24935i | 0.111172 | + | 0.192556i | 0.916243 | − | 0.400622i | \(-0.131206\pi\) |
−0.805071 | + | 0.593179i | \(0.797873\pi\) | |||||||
\(488\) | 1.71688 | − | 1.44063i | 0.0777196 | − | 0.0652145i | ||||
\(489\) | 1.19207 | − | 0.433877i | 0.0539071 | − | 0.0196206i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.80793 | + | 8.22983i | 0.442626 | + | 0.371407i | 0.836691 | − | 0.547675i | \(-0.184487\pi\) |
−0.394065 | + | 0.919083i | \(0.628932\pi\) | |||||||
\(492\) | 0.482926 | − | 2.73881i | 0.0217720 | − | 0.123475i | ||||
\(493\) | −45.2918 | −2.03984 | ||||||||
\(494\) | −1.98545 | + | 5.33251i | −0.0893297 | + | 0.239921i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.10607 | + | 6.27282i | −0.0496639 | + | 0.281658i | ||||
\(497\) | 16.9513 | + | 14.2238i | 0.760370 | + | 0.638026i | ||||
\(498\) | −3.96064 | − | 1.44155i | −0.177480 | − | 0.0645976i | ||||
\(499\) | −3.86571 | + | 1.40701i | −0.173053 | + | 0.0629862i | −0.427094 | − | 0.904207i | \(-0.640463\pi\) |
0.254041 | + | 0.967194i | \(0.418240\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.78787 | − | 4.82873i | −0.124553 | − | 0.215732i | ||||
\(502\) | 8.26011 | − | 14.3069i | 0.368667 | − | 0.638550i | ||||
\(503\) | −3.48070 | − | 19.7401i | −0.155197 | − | 0.880166i | −0.958606 | − | 0.284737i | \(-0.908094\pi\) |
0.803409 | − | 0.595428i | \(-0.203018\pi\) | |||||||
\(504\) | −1.87939 | − | 10.6585i | −0.0837145 | − | 0.474768i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −9.14290 | − | 15.8360i | −0.406452 | − | 0.703995i | ||||
\(507\) | −3.00521 | + | 2.52167i | −0.133466 | + | 0.111991i | ||||
\(508\) | 0.426022 | − | 0.155059i | 0.0189017 | − | 0.00687965i | ||||
\(509\) | −11.3824 | − | 4.14285i | −0.504515 | − | 0.183628i | 0.0772086 | − | 0.997015i | \(-0.475399\pi\) |
−0.581724 | + | 0.813387i | \(0.697621\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.758770 | + | 4.30320i | −0.0335660 | + | 0.190362i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 8.77631 | − | 1.48097i | 0.387484 | − | 0.0653863i | ||||
\(514\) | −8.91353 | −0.393159 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.91875 | + | 1.61002i | 0.0844682 | + | 0.0708772i | ||||
\(517\) | 63.4843 | + | 23.1064i | 2.79204 | + | 1.01622i | ||||
\(518\) | −14.1284 | + | 5.14230i | −0.620764 | + | 0.225940i | ||||
\(519\) | 0.192533 | − | 0.161555i | 0.00845127 | − | 0.00709146i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −12.6202 | + | 21.8588i | −0.552901 | + | 0.957653i | 0.445162 | + | 0.895450i | \(0.353146\pi\) |
−0.998064 | + | 0.0622031i | \(0.980187\pi\) | |||||||
\(522\) | −4.75877 | − | 26.9883i | −0.208286 | − | 1.18125i | ||||
\(523\) | −3.33450 | − | 18.9109i | −0.145808 | − | 0.826916i | −0.966715 | − | 0.255855i | \(-0.917643\pi\) |
0.820908 | − | 0.571061i | \(-0.193468\pi\) | |||||||
\(524\) | 1.86824 | − | 3.23589i | 0.0816145 | − | 0.141360i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.53983 | + | 6.32667i | −0.328752 | + | 0.275856i | ||||
\(527\) | 28.4834 | − | 10.3671i | 1.24076 | − | 0.451598i | ||||
\(528\) | 1.80541 | + | 0.657115i | 0.0785703 | + | 0.0285972i | ||||
\(529\) | −9.24944 | − | 7.76120i | −0.402149 | − | 0.337443i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.6236 | −0.808196 | ||||||||
\(532\) | 10.6236 | − | 12.4731i | 0.460592 | − | 0.540777i | ||||
\(533\) | 10.4534 | 0.452785 | ||||||||
\(534\) | −0.678863 | + | 3.85002i | −0.0293773 | + | 0.166607i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −11.6309 | − | 4.23329i | −0.502378 | − | 0.182850i | ||||
\(537\) | −1.57145 | + | 0.571962i | −0.0678131 | + | 0.0246820i | ||||
\(538\) | 6.41147 | − | 5.37987i | 0.276418 | − | 0.231942i | ||||
\(539\) | 19.7173 | + | 34.1514i | 0.849286 | + | 1.47101i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.0273411 | − | 0.155059i | −0.00117549 | − | 0.00666652i | 0.984214 | − | 0.176980i | \(-0.0566329\pi\) |
−0.985390 | + | 0.170314i | \(0.945522\pi\) | |||||||
\(542\) | −0.221629 | − | 1.25692i | −0.00951979 | − | 0.0539894i | ||||
\(543\) | −0.539830 | + | 0.935012i | −0.0231663 | + | 0.0401252i | ||||
\(544\) | 2.37939 | + | 4.12122i | 0.102015 | + | 0.176696i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −1.60132 | + | 0.582832i | −0.0685301 | + | 0.0249429i | ||||
\(547\) | 32.3025 | + | 11.7571i | 1.38115 | + | 0.502699i | 0.922528 | − | 0.385930i | \(-0.126120\pi\) |
0.458626 | + | 0.888629i | \(0.348342\pi\) | |||||||
\(548\) | 7.92649 | + | 6.65111i | 0.338603 | + | 0.284122i | ||||
\(549\) | 1.12061 | − | 6.35532i | 0.0478267 | − | 0.271239i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 26.8999 | − | 31.5829i | 1.14598 | − | 1.34548i | ||||
\(552\) | −1.14796 | −0.0488602 | ||||||||
\(553\) | −5.75877 | + | 32.6596i | −0.244888 | + | 1.38883i | ||||
\(554\) | −5.43376 | − | 4.55947i | −0.230858 | − | 0.193713i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.84477 | + | 0.671441i | −0.0782357 | + | 0.0284755i | ||||
\(557\) | −10.1480 | + | 8.51515i | −0.429983 | + | 0.360798i | −0.831945 | − | 0.554858i | \(-0.812773\pi\) |
0.401963 | + | 0.915656i | \(0.368328\pi\) | |||||||
\(558\) | 9.17024 | + | 15.8833i | 0.388207 | + | 0.672395i | ||||
\(559\) | −4.70739 | + | 8.15343i | −0.199101 | + | 0.344853i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.58765 | − | 9.00400i | −0.0670306 | − | 0.380149i | ||||
\(562\) | −10.3243 | + | 17.8822i | −0.435504 | + | 0.754315i | ||||
\(563\) | 19.1630 | + | 33.1912i | 0.807623 | + | 1.39884i | 0.914506 | + | 0.404572i | \(0.132580\pi\) |
−0.106883 | + | 0.994272i | \(0.534087\pi\) | |||||||
\(564\) | 3.24897 | − | 2.72621i | 0.136806 | − | 0.114794i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 13.3045 | + | 4.84245i | 0.559231 | + | 0.203543i | ||||
\(567\) | −22.8307 | − | 19.1572i | −0.958799 | − | 0.804528i | ||||
\(568\) | 1.02229 | − | 5.79769i | 0.0428943 | − | 0.243266i | ||||
\(569\) | −32.1634 | −1.34836 | −0.674181 | − | 0.738566i | \(-0.735503\pi\) | ||||
−0.674181 | + | 0.738566i | \(0.735503\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.2635 | 0.680607 | 0.340304 | − | 0.940316i | \(-0.389470\pi\) | ||||
0.340304 | + | 0.940316i | \(0.389470\pi\) | |||||||
\(572\) | −1.25402 | + | 7.11192i | −0.0524333 | + | 0.297364i | ||||
\(573\) | −2.83750 | − | 2.38094i | −0.118538 | − | 0.0994653i | ||||
\(574\) | −28.2841 | − | 10.2946i | −1.18055 | − | 0.429686i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.20574 | + | 1.85083i | −0.0919057 | + | 0.0771180i | ||||
\(577\) | 10.4829 | + | 18.1570i | 0.436410 | + | 0.755884i | 0.997410 | − | 0.0719319i | \(-0.0229164\pi\) |
−0.561000 | + | 0.827816i | \(0.689583\pi\) | |||||||
\(578\) | 2.82295 | − | 4.88949i | 0.117419 | − | 0.203376i | ||||
\(579\) | −1.13129 | − | 6.41588i | −0.0470149 | − | 0.266635i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −22.8084 | + | 39.5053i | −0.946252 | + | 1.63896i | ||||
\(582\) | 1.31180 | + | 2.27211i | 0.0543760 | + | 0.0941820i | ||||
\(583\) | 7.45336 | − | 6.25411i | 0.308687 | − | 0.259019i | ||||
\(584\) | 1.09240 | − | 0.397600i | 0.0452037 | − | 0.0164528i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −17.6578 | − | 14.8166i | −0.729435 | − | 0.612069i | ||||
\(587\) | −6.12671 | + | 34.7463i | −0.252876 | + | 1.43413i | 0.548590 | + | 0.836092i | \(0.315165\pi\) |
−0.801466 | + | 0.598041i | \(0.795946\pi\) | |||||||
\(588\) | 2.47565 | 0.102094 | ||||||||
\(589\) | −9.68779 | + | 26.0194i | −0.399178 | + | 1.07211i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.660444 | − | 3.74557i | 0.0271671 | − | 0.154072i | ||||
\(592\) | 3.06418 | + | 2.57115i | 0.125937 | + | 0.105674i | ||||
\(593\) | −15.2208 | − | 5.53990i | −0.625041 | − | 0.227496i | 0.0100303 | − | 0.999950i | \(-0.496807\pi\) |
−0.635072 | + | 0.772453i | \(0.719029\pi\) | |||||||
\(594\) | 10.6147 | − | 3.86343i | 0.435526 | − | 0.158518i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −6.82295 | − | 11.8177i | −0.279479 | − | 0.484072i | ||||
\(597\) | 1.15570 | − | 2.00173i | 0.0472995 | − | 0.0819252i | ||||
\(598\) | −0.749275 | − | 4.24935i | −0.0306401 | − | 0.173769i | ||||
\(599\) | −2.70502 | − | 15.3409i | −0.110524 | − | 0.626814i | −0.988869 | − | 0.148787i | \(-0.952463\pi\) |
0.878345 | − | 0.478027i | \(-0.158648\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.9089 | + | 18.8949i | 0.444985 | + | 0.770737i | 0.998051 | − | 0.0624004i | \(-0.0198756\pi\) |
−0.553066 | + | 0.833137i | \(0.686542\pi\) | |||||||
\(602\) | 20.7665 | − | 17.4252i | 0.846380 | − | 0.710197i | ||||
\(603\) | −33.4898 | + | 12.1893i | −1.36381 | + | 0.496386i | ||||
\(604\) | 1.53209 | + | 0.557635i | 0.0623398 | + | 0.0226898i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.992259 | − | 5.62738i | 0.0403078 | − | 0.228597i | ||||
\(607\) | −32.2722 | −1.30989 | −0.654944 | − | 0.755677i | \(-0.727308\pi\) | ||||
−0.654944 | + | 0.755677i | \(0.727308\pi\) | |||||||
\(608\) | −4.28699 | − | 0.788496i | −0.173860 | − | 0.0319777i | ||||
\(609\) | 12.4243 | 0.503457 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 12.2121 | + | 10.2472i | 0.494050 | + | 0.414557i | ||||
\(612\) | 12.8760 | + | 4.68647i | 0.520481 | + | 0.189439i | ||||
\(613\) | 34.7597 | − | 12.6515i | 1.40393 | − | 0.510989i | 0.474589 | − | 0.880208i | \(-0.342597\pi\) |
0.929343 | + | 0.369219i | \(0.120375\pi\) | |||||||
\(614\) | 3.23783 | − | 2.71686i | 0.130668 | − | 0.109643i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 10.3969 | − | 18.0080i | 0.418904 | − | 0.725563i | ||||
\(617\) | −0.453525 | − | 2.57207i | −0.0182582 | − | 0.103548i | 0.974317 | − | 0.225182i | \(-0.0722976\pi\) |
−0.992575 | + | 0.121634i | \(0.961187\pi\) | |||||||
\(618\) | −0.446556 | − | 2.53255i | −0.0179631 | − | 0.101874i | ||||
\(619\) | −4.61381 | + | 7.99135i | −0.185445 | + | 0.321199i | −0.943726 | − | 0.330728i | \(-0.892706\pi\) |
0.758282 | + | 0.651927i | \(0.226039\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.17024 | + | 4.33835i | −0.207475 | + | 0.174092i | ||||
\(622\) | −7.86484 | + | 2.86257i | −0.315351 | + | 0.114778i | ||||
\(623\) | 39.7597 | + | 14.4713i | 1.59294 | + | 0.579782i | ||||
\(624\) | 0.347296 | + | 0.291416i | 0.0139030 | + | 0.0116660i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −18.4365 | −0.736869 | ||||||||
\(627\) | 7.22163 | + | 4.24060i | 0.288404 | + | 0.169353i | ||||
\(628\) | −6.24123 | −0.249052 | ||||||||
\(629\) | 3.30541 | − | 18.7459i | 0.131795 | − | 0.747448i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.1925 | + | 9.53330i | 1.04271 | + | 0.379515i | 0.805906 | − | 0.592043i | \(-0.201679\pi\) |
0.236802 | + | 0.971558i | \(0.423901\pi\) | |||||||
\(632\) | 8.29086 | − | 3.01763i | 0.329793 | − | 0.120035i | ||||
\(633\) | 5.37211 | − | 4.50774i | 0.213522 | − | 0.179166i | ||||
\(634\) | 15.5175 | + | 26.8772i | 0.616280 | + | 1.06743i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.106067 | − | 0.601535i | −0.00420582 | − | 0.0238524i | ||||
\(637\) | 1.61587 | + | 9.16404i | 0.0640230 | + | 0.363092i | ||||
\(638\) | 26.3259 | − | 45.5979i | 1.04225 | − | 1.80524i | ||||
\(639\) | −8.47565 | − | 14.6803i | −0.335292 | − | 0.580742i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 28.7866 | − | 10.4775i | 1.13700 | − | 0.413835i | 0.296172 | − | 0.955135i | \(-0.404290\pi\) |
0.840830 | + | 0.541300i | \(0.182068\pi\) | |||||||
\(642\) | 0.0996702 | + | 0.0362770i | 0.00393367 | + | 0.00143174i | ||||
\(643\) | 22.6748 | + | 19.0264i | 0.894208 | + | 0.750330i | 0.969050 | − | 0.246866i | \(-0.0794007\pi\) |
−0.0748417 | + | 0.997195i | \(0.523845\pi\) | |||||||
\(644\) | −2.15745 | + | 12.2355i | −0.0850155 | + | 0.482147i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.95084 | + | 19.5437i | 0.273477 | + | 0.768938i | ||||
\(647\) | −30.4635 | −1.19764 | −0.598821 | − | 0.800883i | \(-0.704364\pi\) | ||||
−0.598821 | + | 0.800883i | \(0.704364\pi\) | |||||||
\(648\) | −1.37686 | + | 7.80856i | −0.0540881 | + | 0.306749i | ||||
\(649\) | −27.4099 | − | 22.9996i | −1.07593 | − | 0.902814i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −7.81345 | + | 2.84386i | −0.306233 | + | 0.111460i | ||||
\(652\) | −2.79813 | + | 2.34791i | −0.109583 | + | 0.0919514i | ||||
\(653\) | −19.9513 | − | 34.5567i | −0.780755 | − | 1.35231i | −0.931503 | − | 0.363735i | \(-0.881501\pi\) |
0.150748 | − | 0.988572i | \(-0.451832\pi\) | |||||||
\(654\) | 2.66725 | − | 4.61982i | 0.104298 | − | 0.180649i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 1.39053 | + | 7.88609i | 0.0542911 | + | 0.307900i | ||||
\(657\) | 1.67365 | − | 2.89884i | 0.0652952 | − | 0.113095i | ||||
\(658\) | −22.9513 | − | 39.7528i | −0.894735 | − | 1.54973i | ||||
\(659\) | 32.3214 | − | 27.1208i | 1.25906 | − | 1.05648i | 0.263280 | − | 0.964719i | \(-0.415196\pi\) |
0.995781 | − | 0.0917584i | \(-0.0292487\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.6186 | − | 5.68469i | −0.607491 | − | 0.221109i | 0.0199139 | − | 0.999802i | \(-0.493661\pi\) |
−0.627405 | + | 0.778693i | \(0.715883\pi\) | |||||||
\(662\) | 6.58512 | + | 5.52557i | 0.255938 | + | 0.214758i | ||||
\(663\) | 0.374638 | − | 2.12467i | 0.0145497 | − | 0.0825155i | ||||
\(664\) | 12.1361 | 0.470972 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 11.5175 | 0.446296 | ||||||||
\(667\) | −5.46286 | + | 30.9814i | −0.211523 | + | 1.19961i | ||||
\(668\) | 12.2986 | + | 10.3198i | 0.475847 | + | 0.399283i | ||||
\(669\) | 5.10607 | + | 1.85846i | 0.197412 | + | 0.0718521i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 9.49794 | − | 7.96972i | 0.366664 | − | 0.307668i | ||||
\(672\) | −0.652704 | − | 1.13052i | −0.0251786 | − | 0.0436106i | ||||
\(673\) | 11.6361 | − | 20.1543i | 0.448539 | − | 0.776892i | −0.549753 | − | 0.835328i | \(-0.685278\pi\) |
0.998291 | + | 0.0584360i | \(0.0186113\pi\) | |||||||
\(674\) | −5.54782 | − | 31.4632i | −0.213694 | − | 1.21192i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.64796 | − | 9.78255i | 0.217229 | − | 0.376252i | ||||
\(677\) | −15.8726 | − | 27.4921i | −0.610033 | − | 1.05661i | −0.991234 | − | 0.132116i | \(-0.957823\pi\) |
0.381202 | − | 0.924492i | \(-0.375510\pi\) | |||||||
\(678\) | 2.18866 | − | 1.83651i | 0.0840551 | − | 0.0705306i | ||||
\(679\) | 26.6827 | − | 9.71172i | 1.02399 | − | 0.372702i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.27332 | + | 1.90754i | 0.0871138 | + | 0.0730971i | ||||
\(682\) | −6.11886 | + | 34.7018i | −0.234303 | + | 1.32880i | ||||
\(683\) | 6.87702 | 0.263142 | 0.131571 | − | 0.991307i | \(-0.457998\pi\) | ||||
0.131571 | + | 0.991307i | \(0.457998\pi\) | |||||||
\(684\) | −10.9153 | + | 6.19529i | −0.417359 | + | 0.236883i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0.0837781 | − | 0.475129i | 0.00319866 | − | 0.0181405i | ||||
\(687\) | −1.09421 | − | 0.918149i | −0.0417466 | − | 0.0350296i | ||||
\(688\) | −6.77719 | − | 2.46669i | −0.258378 | − | 0.0940419i | ||||
\(689\) | 2.15745 | − | 0.785248i | 0.0821924 | − | 0.0299156i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.83544 | − | 15.3034i | −0.336116 | − | 0.582170i | 0.647583 | − | 0.761995i | \(-0.275780\pi\) |
−0.983699 | + | 0.179825i | \(0.942447\pi\) | |||||||
\(692\) | −0.361844 | + | 0.626733i | −0.0137553 | + | 0.0238248i | ||||
\(693\) | −10.3969 | − | 58.9639i | −0.394947 | − | 2.23985i | ||||
\(694\) | 0.786522 | + | 4.46059i | 0.0298560 | + | 0.169322i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −1.65270 | − | 2.86257i | −0.0626456 | − | 0.108505i | ||||
\(697\) | 29.1917 | − | 24.4947i | 1.10571 | − | 0.927803i | ||||
\(698\) | −25.4884 | + | 9.27704i | −0.964752 | + | 0.351141i | ||||
\(699\) | 0.820727 | + | 0.298720i | 0.0310427 | + | 0.0112986i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.21987 | − | 46.6172i | 0.310460 | − | 1.76071i | −0.286157 | − | 0.958183i | \(-0.592378\pi\) |
0.596618 | − | 0.802526i | \(-0.296511\pi\) | |||||||
\(702\) | 2.66550 | 0.100603 | ||||||||
\(703\) | 11.1088 | + | 13.4386i | 0.418975 | + | 0.506846i | ||||
\(704\) | −5.53209 | −0.208498 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 15.1079 | + | 12.6770i | 0.568592 | + | 0.477106i | ||||
\(707\) | −58.1147 | − | 21.1520i | −2.18563 | − | 0.795504i | ||||
\(708\) | −2.11081 | + | 0.768274i | −0.0793293 | + | 0.0288735i | ||||
\(709\) | −12.3892 | + | 10.3958i | −0.465286 | + | 0.390421i | −0.845071 | − | 0.534653i | \(-0.820442\pi\) |
0.379786 | + | 0.925074i | \(0.375998\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 12.7023 | − | 22.0011i | 0.476375 | − | 0.825105i | ||||
\(712\) | −1.95471 | − | 11.0857i | −0.0732558 | − | 0.415454i | ||||
\(713\) | −3.65600 | − | 20.7342i | −0.136918 | − | 0.776502i | ||||
\(714\) | −3.10607 | + | 5.37987i | −0.116242 | + | 0.201336i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 3.68866 | − | 3.09516i | 0.137852 | − | 0.115671i | ||||
\(717\) | 3.03684 | − | 1.10532i | 0.113413 | − | 0.0412789i | ||||
\(718\) | −20.4884 | − | 7.45718i | −0.764622 | − | 0.278300i | ||||
\(719\) | −11.0942 | − | 9.30915i | −0.413744 | − | 0.347173i | 0.412033 | − | 0.911169i | \(-0.364819\pi\) |
−0.825777 | + | 0.563996i | \(0.809263\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −27.8324 | −1.03653 | ||||||||
\(722\) | −17.7565 | − | 6.76055i | −0.660830 | − | 0.251601i | ||||
\(723\) | −2.47472 | −0.0920358 | ||||||||
\(724\) | 0.539830 | − | 3.06153i | 0.0200626 | − | 0.113781i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.39780 | + | 2.32861i | 0.237445 | + | 0.0864228i | ||||
\(727\) | −11.4483 | + | 4.16684i | −0.424594 | + | 0.154540i | −0.545475 | − | 0.838127i | \(-0.683651\pi\) |
0.120880 | + | 0.992667i | \(0.461428\pi\) | |||||||
\(728\) | 3.75877 | − | 3.15398i | 0.139309 | − | 0.116894i | ||||
\(729\) | 10.3516 | + | 17.9296i | 0.383394 | + | 0.664058i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 5.95976 | + | 33.7995i | 0.220430 | + | 1.25012i | ||||
\(732\) | −0.135163 | − | 0.766546i | −0.00499576 | − | 0.0283323i | ||||
\(733\) | −24.1584 | + | 41.8436i | −0.892310 | + | 1.54553i | −0.0552118 | + | 0.998475i | \(0.517583\pi\) |
−0.837099 | + | 0.547052i | \(0.815750\pi\) | |||||||
\(734\) | 1.83750 | + | 3.18264i | 0.0678232 | + | 0.117473i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.10607 | − | 1.13052i | 0.114491 | − | 0.0416714i | ||||
\(737\) | −64.3431 | − | 23.4190i | −2.37011 | − | 0.862649i | ||||
\(738\) | 17.6630 | + | 14.8210i | 0.650183 | + | 0.545568i | ||||
\(739\) | −8.71317 | + | 49.4149i | −0.320519 | + | 1.81776i | 0.218934 | + | 0.975740i | \(0.429742\pi\) |
−0.539453 | + | 0.842015i | \(0.681369\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.25908 | + | 1.52314i | 0.0462533 | + | 0.0559539i | ||||
\(742\) | −6.61081 | −0.242691 | ||||||||
\(743\) | −0.0428227 | + | 0.242860i | −0.00157101 | + | 0.00890966i | −0.985583 | − | 0.169192i | \(-0.945884\pi\) |
0.984012 | + | 0.178101i | \(0.0569955\pi\) | |||||||
\(744\) | 1.69459 | + | 1.42193i | 0.0621268 | + | 0.0521306i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −12.3824 | + | 4.50682i | −0.453351 | + | 0.165006i | ||||
\(747\) | 26.7690 | − | 22.4619i | 0.979428 | − | 0.821838i | ||||
\(748\) | 13.1630 | + | 22.7989i | 0.481286 | + | 0.833612i | ||||
\(749\) | 0.573978 | − | 0.994159i | 0.0209727 | − | 0.0363258i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.00681 | − | 22.7237i | −0.146210 | − | 0.829201i | −0.966387 | − | 0.257091i | \(-0.917236\pi\) |
0.820177 | − | 0.572110i | \(-0.193875\pi\) | |||||||
\(752\) | −6.10607 | + | 10.5760i | −0.222665 | + | 0.385668i | ||||
\(753\) | −2.86871 | − | 4.96875i | −0.104542 | − | 0.181071i | ||||
\(754\) | 9.51754 | − | 7.98617i | 0.346608 | − | 0.290839i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −7.21213 | − | 2.62500i | −0.262303 | − | 0.0954704i | ||||
\(757\) | 33.0770 | + | 27.7549i | 1.20220 | + | 1.00877i | 0.999564 | + | 0.0295145i | \(0.00939611\pi\) |
0.202639 | + | 0.979254i | \(0.435048\pi\) | |||||||
\(758\) | −1.96080 | + | 11.1202i | −0.0712194 | + | 0.403905i | ||||
\(759\) | −6.35059 | −0.230512 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −26.2499 | −0.951558 | −0.475779 | − | 0.879565i | \(-0.657834\pi\) | ||||
−0.475779 | + | 0.879565i | \(0.657834\pi\) | |||||||
\(762\) | 0.0273411 | − | 0.155059i | 0.000990465 | − | 0.00561721i | ||||
\(763\) | −44.2276 | − | 37.1114i | −1.60115 | − | 1.34352i | ||||
\(764\) | 10.0223 | + | 3.64781i | 0.362594 | + | 0.131973i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 19.6759 | − | 16.5101i | 0.710920 | − | 0.596533i | ||||
\(767\) | −4.22163 | − | 7.31208i | −0.152434 | − | 0.264024i | ||||
\(768\) | −0.173648 | + | 0.300767i | −0.00626599 | + | 0.0108530i | ||||
\(769\) | −1.61422 | − | 9.15469i | −0.0582102 | − | 0.330126i | 0.941771 | − | 0.336255i | \(-0.109160\pi\) |
−0.999981 | + | 0.00612844i | \(0.998049\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.54782 | + | 2.68090i | −0.0557433 | + | 0.0965503i | ||||
\(772\) | 9.37939 | + | 16.2456i | 0.337571 | + | 0.584691i | ||||
\(773\) | 22.5330 | − | 18.9075i | 0.810456 | − | 0.680054i | −0.140260 | − | 0.990115i | \(-0.544794\pi\) |
0.950717 | + | 0.310061i | \(0.100349\pi\) | |||||||
\(774\) | −19.5141 | + | 7.10257i | −0.701421 | + | 0.255296i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −5.78699 | − | 4.85586i | −0.207741 | − | 0.174315i | ||||
\(777\) | −0.906726 | + | 5.14230i | −0.0325286 | + | 0.184479i | ||||
\(778\) | 10.3541 | 0.371213 | ||||||||
\(779\) | −0.256959 | + | 34.9040i | −0.00920653 | + | 1.25057i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.65539 | − | 32.0733i | 0.202366 | − | 1.14767i | ||||
\(782\) | −12.0496 | − | 10.1108i | −0.430894 | − | 0.361563i | ||||
\(783\) | −18.2618 | − | 6.64674i | −0.652622 | − | 0.237535i | ||||
\(784\) | −6.69846 | + | 2.43804i | −0.239231 | + | 0.0870729i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −0.648833 | − | 1.12381i | −0.0231431 | − | 0.0400851i | ||||
\(787\) | 26.0005 | − | 45.0341i | 0.926817 | − | 1.60529i | 0.138203 | − | 0.990404i | \(-0.455867\pi\) |
0.788613 | − | 0.614889i | \(-0.210799\pi\) | |||||||
\(788\) | 1.90167 | + | 10.7849i | 0.0677443 | + | 0.384197i | ||||
\(789\) | 0.593578 | + | 3.36635i | 0.0211319 | + | 0.119845i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −15.4611 | − | 26.7794i | −0.549734 | − | 0.952166i | ||||
\(792\) | −12.2023 | + | 10.2390i | −0.433591 | + | 0.363826i | ||||
\(793\) | 2.74928 | − | 1.00065i | 0.0976296 | − | 0.0355343i | ||||
\(794\) | −8.97090 | − | 3.26514i | −0.318365 | − | 0.115876i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.15570 | + | 6.55428i | −0.0409626 | + | 0.232310i | ||||
\(797\) | 32.4296 | 1.14872 | 0.574358 | − | 0.818604i | \(-0.305252\pi\) | ||||
0.574358 | + | 0.818604i | \(0.305252\pi\) | |||||||
\(798\) | −1.90673 | − | 5.36116i | −0.0674974 | − | 0.189783i | ||||
\(799\) | 58.1147 | 2.05595 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −24.8293 | − | 20.8343i | −0.877302 | − | 0.736144i | ||||
\(802\) | −28.1498 | − | 10.2457i | −0.994003 | − | 0.361787i | ||||
\(803\) | 6.04323 | − | 2.19956i | 0.213261 | − | 0.0776207i | ||||
\(804\) | −3.29292 | + | 2.76309i | −0.116132 | + | 0.0974466i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.15745 | + | 7.20092i | −0.146440 | + | 0.253641i | ||||
\(807\) | −0.504748 | − | 2.86257i | −0.0177680 | − | 0.100767i | ||||
\(808\) | 2.85710 | + | 16.2034i | 0.100512 | + | 0.570034i | ||||
\(809\) | −15.6190 | + | 27.0529i | −0.549136 | + | 0.951131i | 0.449198 | + | 0.893432i | \(0.351710\pi\) |
−0.998334 | + | 0.0576987i | \(0.981624\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −17.1480 | + | 14.3888i | −0.602146 | + | 0.505261i | −0.892135 | − | 0.451769i | \(-0.850793\pi\) |
0.289989 | + | 0.957030i | \(0.406349\pi\) | |||||||
\(812\) | −33.6168 | + | 12.2355i | −1.17972 | + | 0.429382i | ||||
\(813\) | −0.416527 | − | 0.151603i | −0.0146082 | − | 0.00531696i | ||||
\(814\) | 16.9513 | + | 14.2238i | 0.594143 | + | 0.498545i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 1.65270 | 0.0578562 | ||||||||
\(817\) | −27.1088 | − | 15.9185i | −0.948415 | − | 0.556917i | ||||
\(818\) | −24.5963 | −0.859988 | ||||||||
\(819\) | 2.45336 | − | 13.9137i | 0.0857274 | − | 0.486185i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 16.9949 | + | 6.18566i | 0.593128 | + | 0.215881i | 0.621105 | − | 0.783728i | \(-0.286684\pi\) |
−0.0279768 | + | 0.999609i | \(0.508906\pi\) | |||||||
\(822\) | 3.37686 | − | 1.22908i | 0.117781 | − | 0.0428690i | ||||
\(823\) | −40.6049 | + | 34.0716i | −1.41540 | + | 1.18766i | −0.461648 | + | 0.887063i | \(0.652742\pi\) |
−0.953751 | + | 0.300598i | \(0.902814\pi\) | |||||||
\(824\) | 3.70233 | + | 6.41263i | 0.128977 | + | 0.223395i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.22163 | + | 23.9420i | 0.146889 | + | 0.833050i | ||||
\(827\) | −1.21641 | − | 6.89863i | −0.0422989 | − | 0.239889i | 0.956327 | − | 0.292300i | \(-0.0944205\pi\) |
−0.998626 | + | 0.0524110i | \(0.983309\pi\) | |||||||
\(828\) | 4.75877 | − | 8.24243i | 0.165379 | − | 0.286444i | ||||
\(829\) | −5.49020 | − | 9.50931i | −0.190683 | − | 0.330272i | 0.754794 | − | 0.655962i | \(-0.227737\pi\) |
−0.945477 | + | 0.325690i | \(0.894403\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.31490 | + | 0.842556i | −0.0803031 | + | 0.0292279i | ||||
\(832\) | −1.22668 | − | 0.446476i | −0.0425275 | − | 0.0154788i | ||||
\(833\) | 25.9859 | + | 21.8048i | 0.900359 | + | 0.755491i | ||||
\(834\) | −0.118393 | + | 0.671441i | −0.00409962 | + | 0.0232501i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −23.7160 | − | 4.36203i | −0.820235 | − | 0.150864i | ||||
\(837\) | 13.0060 | 0.449553 | ||||||||
\(838\) | 2.05035 | − | 11.6281i | 0.0708280 | − | 0.401686i | ||||
\(839\) | −10.1284 | − | 8.49870i | −0.349670 | − | 0.293408i | 0.450988 | − | 0.892530i | \(-0.351072\pi\) |
−0.800657 | + | 0.599122i | \(0.795516\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −57.8696 | + | 21.0628i | −1.99550 | + | 0.726304i | ||||
\(842\) | 4.66044 | − | 3.91058i | 0.160610 | − | 0.134767i | ||||
\(843\) | 3.58559 | + | 6.21042i | 0.123494 | + | 0.213898i | ||||
\(844\) | −10.0963 | + | 17.4872i | −0.347528 | + | 0.601936i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 6.10607 | + | 34.6292i | 0.209931 | + | 1.19058i | ||||
\(847\) | 36.8435 | − | 63.8148i | 1.26596 | − | 2.19270i | ||||
\(848\) | 0.879385 | + | 1.52314i | 0.0301982 | + | 0.0523048i | ||||
\(849\) | 3.76676 | − | 3.16069i | 0.129275 | − | 0.108474i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −12.4243 | − | 4.52206i | −0.425898 | − | 0.155014i | ||||
\(852\) | −1.56624 | − | 1.31423i | −0.0536584 | − | 0.0450247i | ||||
\(853\) | −2.41384 | + | 13.6896i | −0.0826482 | + | 0.468721i | 0.915191 | + | 0.403020i | \(0.132040\pi\) |
−0.997839 | + | 0.0657013i | \(0.979072\pi\) | |||||||
\(854\) | −8.42427 | −0.288272 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.305407 | −0.0104386 | ||||||||
\(857\) | 1.83599 | − | 10.4124i | 0.0627162 | − | 0.355681i | −0.937259 | − | 0.348634i | \(-0.886646\pi\) |
0.999975 | − | 0.00704736i | \(-0.00224326\pi\) | |||||||
\(858\) | 1.92127 | + | 1.61214i | 0.0655912 | + | 0.0550376i | ||||
\(859\) | −26.7606 | − | 9.74006i | −0.913059 | − | 0.332326i | −0.157586 | − | 0.987505i | \(-0.550371\pi\) |
−0.755474 | + | 0.655179i | \(0.772593\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −8.00774 | + | 6.71929i | −0.272903 | + | 0.228993i | ||||
\(862\) | −6.51754 | − | 11.2887i | −0.221988 | − | 0.384495i | ||||
\(863\) | 7.12836 | − | 12.3467i | 0.242652 | − | 0.420286i | −0.718817 | − | 0.695200i | \(-0.755316\pi\) |
0.961469 | + | 0.274914i | \(0.0886493\pi\) | |||||||
\(864\) | 0.354570 | + | 2.01087i | 0.0120627 | + | 0.0684111i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 13.2567 | − | 22.9613i | 0.450481 | − | 0.780257i | ||||
\(867\) | −0.980400 | − | 1.69810i | −0.0332961 | − | 0.0576706i | ||||
\(868\) | 18.3405 | − | 15.3895i | 0.622517 | − | 0.522354i | ||||
\(869\) | 45.8658 | − | 16.6938i | 1.55589 | − | 0.566298i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12.3773 | − | 10.3858i | −0.419390 | − | 0.351910i | ||||
\(872\) | −2.66725 | + | 15.1267i | −0.0903245 | + | 0.512256i | ||||
\(873\) | −21.7520 | −0.736192 | ||||||||
\(874\) | 14.2071 | − | 2.39739i | 0.480562 | − | 0.0810929i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.0701076 | − | 0.397600i | 0.00236871 | − | 0.0134336i | ||||
\(877\) | 33.3860 | + | 28.0142i | 1.12737 | + | 0.945972i | 0.998953 | − | 0.0457492i | \(-0.0145675\pi\) |
0.128412 | + | 0.991721i | \(0.459012\pi\) | |||||||
\(878\) | −33.2841 | − | 12.1144i | −1.12328 | − | 0.408841i | ||||
\(879\) | −7.52259 | + | 2.73800i | −0.253731 | + | 0.0923505i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −20.3075 | − | 35.1737i | −0.684178 | − | 1.18503i | −0.973694 | − | 0.227858i | \(-0.926828\pi\) |
0.289517 | − | 0.957173i | \(-0.406505\pi\) | |||||||
\(882\) | −10.2626 | + | 17.7754i | −0.345561 | + | 0.598529i | ||||
\(883\) | −3.08512 | − | 17.4966i | −0.103823 | − | 0.588807i | −0.991684 | − | 0.128696i | \(-0.958921\pi\) |
0.887861 | − | 0.460111i | \(-0.152190\pi\) | |||||||
\(884\) | 1.07873 | + | 6.11776i | 0.0362815 | + | 0.205762i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −14.8905 | − | 25.7912i | −0.500257 | − | 0.866471i | ||||
\(887\) | −16.4534 | + | 13.8060i | −0.552450 | + | 0.463560i | −0.875770 | − | 0.482729i | \(-0.839646\pi\) |
0.323320 | + | 0.946290i | \(0.395201\pi\) | |||||||
\(888\) | 1.30541 | − | 0.475129i | 0.0438066 | − | 0.0159443i | ||||
\(889\) | −1.60132 | − | 0.582832i | −0.0537065 | − | 0.0195476i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −7.61691 | + | 43.1976i | −0.255176 | + | 1.44717i | ||||
\(892\) | −15.6459 | −0.523863 | ||||||||
\(893\) | −34.5158 | + | 40.5247i | −1.15503 | + | 1.35611i | ||||
\(894\) | −4.73917 | −0.158502 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 2.87939 | + | 2.41609i | 0.0961935 | + | 0.0807159i | ||||
\(897\) | −1.40818 | − | 0.512534i | −0.0470176 | − | 0.0171130i | ||||
\(898\) | 27.3742 | − | 9.96340i | 0.913490 | − | 0.332483i | ||||
\(899\) | 46.4397 | − | 38.9676i | 1.54885 | − | 1.29964i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.18479 | − | 7.24827i | 0.139416 | − | 0.241475i | ||||
\(902\) | 7.69253 | + | 43.6265i | 0.256133 | + | 1.45260i | ||||
\(903\) | −1.63486 | − | 9.27174i | −0.0544047 | − | 0.308544i | ||||
\(904\) | −4.11334 | + | 7.12452i | −0.136808 | + | 0.236958i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0.433763 | − | 0.363970i | 0.0144108 | − | 0.0120921i | ||||
\(907\) | −45.2362 | + | 16.4646i | −1.50204 | + | 0.546699i | −0.956589 | − | 0.291440i | \(-0.905866\pi\) |
−0.545455 | + | 0.838140i | \(0.683643\pi\) | |||||||
\(908\) | −8.02956 | − | 2.92252i | −0.266470 | − | 0.0969873i | ||||
\(909\) | 36.2918 | + | 30.4524i | 1.20372 | + | 1.01004i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.8527 | 0.392696 | 0.196348 | − | 0.980534i | \(-0.437092\pi\) | ||||
0.196348 | + | 0.980534i | \(0.437092\pi\) | |||||||
\(912\) | −0.981582 | + | 1.15247i | −0.0325034 | + | 0.0381620i | ||||
\(913\) | 67.1380 | 2.22194 | ||||||||
\(914\) | 4.07738 | − | 23.1240i | 0.134868 | − | 0.764873i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.86484 | + | 1.40669i | 0.127698 | + | 0.0464782i | ||||
\(917\) | −13.1976 | + | 4.80353i | −0.435823 | + | 0.158626i | ||||
\(918\) | 7.44356 | − | 6.24589i | 0.245674 | − | 0.206145i | ||||
\(919\) | −10.2686 | − | 17.7857i | −0.338729 | − | 0.586696i | 0.645465 | − | 0.763790i | \(-0.276664\pi\) |
−0.984194 | + | 0.177094i | \(0.943330\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.254900 | − | 1.44561i | −0.00839924 | − | 0.0476345i | ||||
\(922\) | 0.896622 | + | 5.08499i | 0.0295287 | + | 0.167465i | ||||
\(923\) | 3.84255 | − | 6.65549i | 0.126479 | − | 0.219068i | ||||
\(924\) | −3.61081 | − | 6.25411i | −0.118787 | − | 0.205745i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −23.6091 | + | 8.59300i | −0.775842 | + | 0.282383i | ||||
\(927\) | 20.0351 | + | 7.29217i | 0.658038 | + | 0.239506i | ||||
\(928\) | 7.29086 | + | 6.11776i | 0.239334 | + | 0.200825i | ||||
\(929\) | −3.65523 | + | 20.7298i | −0.119924 | + | 0.680124i | 0.864270 | + | 0.503029i | \(0.167781\pi\) |
−0.984194 | + | 0.177095i | \(0.943330\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.6386 | + | 5.17015i | −1.00414 | + | 0.169445i | ||||
\(932\) | −2.51485 | −0.0823767 | ||||||||
\(933\) | −0.504748 | + | 2.86257i | −0.0165247 | + | 0.0937162i | ||||
\(934\) | −15.7947 | − | 13.2534i | −0.516819 | − | 0.433663i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −3.53209 | + | 1.28558i | −0.115450 | + | 0.0420203i | ||||
\(937\) | −16.4244 | + | 13.7817i | −0.536563 | + | 0.450230i | −0.870360 | − | 0.492415i | \(-0.836114\pi\) |
0.333798 | + | 0.942645i | \(0.391670\pi\) | |||||||
\(938\) | 23.2618 | + | 40.2906i | 0.759524 | + | 1.31553i | ||||
\(939\) | −3.20146 | + | 5.54508i | −0.104476 | + | 0.180957i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.12836 | + | 23.4131i | 0.134581 | + | 0.763244i | 0.975151 | + | 0.221542i | \(0.0711089\pi\) |
−0.840570 | + | 0.541702i | \(0.817780\pi\) | |||||||
\(942\) | −1.08378 | + | 1.87716i | −0.0353114 | + | 0.0611611i | ||||
\(943\) | −13.2344 | − | 22.9227i | −0.430972 | − | 0.746466i | ||||
\(944\) | 4.95471 | − | 4.15749i | 0.161262 | − | 0.135315i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −37.4920 | − | 13.6460i | −1.21897 | − | 0.443669i | ||||
\(947\) | 31.0951 | + | 26.0919i | 1.01046 | + | 0.847874i | 0.988398 | − | 0.151883i | \(-0.0485338\pi\) |
0.0220579 | + | 0.999757i | \(0.492978\pi\) | |||||||
\(948\) | 0.532089 | − | 3.01763i | 0.0172814 | − | 0.0980079i | ||||
\(949\) | 1.51754 | 0.0492615 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.7784 | 0.349513 | ||||||||
\(952\) | 3.10607 | − | 17.6154i | 0.100668 | − | 0.570918i | ||||
\(953\) | 46.8546 | + | 39.3157i | 1.51777 | + | 1.27356i | 0.846560 | + | 0.532294i | \(0.178670\pi\) |
0.671210 | + | 0.741267i | \(0.265775\pi\) | |||||||
\(954\) | 4.75877 | + | 1.73205i | 0.154071 | + | 0.0560772i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −7.12836 | + | 5.98140i | −0.230547 | + | 0.193452i | ||||
\(957\) | −9.14290 | − | 15.8360i | −0.295548 | − | 0.511904i | ||||
\(958\) | −5.78106 | + | 10.0131i | −0.186778 | + | 0.323508i | ||||
\(959\) | −6.75372 | − | 38.3022i | −0.218089 | − | 1.23684i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.78581 | + | 8.28926i | −0.154381 | + | 0.267396i | ||||
\(962\) | 2.61081 | + | 4.52206i | 0.0841760 | + | 0.145797i | ||||
\(963\) | −0.673648 | + | 0.565258i | −0.0217080 | + | 0.0182152i | ||||
\(964\) | 6.69594 | − | 2.43712i | 0.215662 | − | 0.0784944i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 3.30541 | + | 2.77357i | 0.106350 | + | 0.0892380i | ||||
\(967\) | 8.04189 | − | 45.6078i | 0.258610 | − | 1.46665i | −0.528024 | − | 0.849229i | \(-0.677067\pi\) |
0.786634 | − | 0.617419i | \(-0.211822\pi\) | |||||||
\(968\) | −19.6040 | −0.630097 | ||||||||
\(969\) | 7.08512 | + | 1.30315i | 0.227607 | + | 0.0418632i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 2.82951 | − | 16.0469i | 0.0908032 | − | 0.514971i | −0.905150 | − | 0.425093i | \(-0.860241\pi\) |
0.995953 | − | 0.0898774i | \(-0.0286475\pi\) | |||||||
\(972\) | 6.80200 | + | 5.70756i | 0.218174 | + | 0.183070i | ||||
\(973\) | 6.93407 | + | 2.52379i | 0.222296 | + | 0.0809091i | ||||
\(974\) | −4.61081 | + | 1.67820i | −0.147740 | + | 0.0537730i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.12061 | + | 1.94096i | 0.0358700 | + | 0.0621287i | ||||
\(977\) | 3.80675 | − | 6.59349i | 0.121789 | − | 0.210944i | −0.798684 | − | 0.601750i | \(-0.794470\pi\) |
0.920473 | + | 0.390806i | \(0.127804\pi\) | |||||||
\(978\) | 0.220285 | + | 1.24930i | 0.00704394 | + | 0.0399482i | ||||
\(979\) | −10.8136 | − | 61.3271i | −0.345605 | − | 1.96002i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 22.1138 | + | 38.3022i | 0.706040 | + | 1.22290i | ||||
\(982\) | −9.80793 | + | 8.22983i | −0.312984 | + | 0.262625i | ||||
\(983\) | 7.25402 | − | 2.64025i | 0.231367 | − | 0.0842108i | −0.223735 | − | 0.974650i | \(-0.571825\pi\) |
0.455102 | + | 0.890439i | \(0.349603\pi\) | |||||||
\(984\) | 2.61334 | + | 0.951178i | 0.0833103 | + | 0.0303225i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 7.86484 | − | 44.6037i | 0.250467 | − | 1.42047i | ||||
\(987\) | −15.9418 | −0.507433 | ||||||||
\(988\) | −4.90673 | − | 2.88127i | −0.156104 | − | 0.0916654i | ||||
\(989\) | 23.8390 | 0.758037 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −44.9341 | − | 37.7042i | −1.42738 | − | 1.19771i | −0.947243 | − | 0.320518i | \(-0.896143\pi\) |
−0.480135 | − | 0.877195i | \(-0.659412\pi\) | |||||||
\(992\) | −5.98545 | − | 2.17853i | −0.190038 | − | 0.0691683i | ||||
\(993\) | 2.80541 | − | 1.02108i | 0.0890269 | − | 0.0324031i | ||||
\(994\) | −16.9513 | + | 14.2238i | −0.537663 | + | 0.451153i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 2.10741 | − | 3.65014i | 0.0667759 | − | 0.115659i | ||||
\(997\) | −10.5021 | − | 59.5601i | −0.332604 | − | 1.88629i | −0.449719 | − | 0.893170i | \(-0.648476\pi\) |
0.117115 | − | 0.993118i | \(-0.462635\pi\) | |||||||
\(998\) | −0.714355 | − | 4.05131i | −0.0226125 | − | 0.128242i | ||||
\(999\) | 4.08378 | − | 7.07331i | 0.129205 | − | 0.223790i |
(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 | 950.2.l.c.701.1 | 6 | ||
5.2 | odd | 4 | 950.2.u.c.549.1 | 12 | |||
5.3 | odd | 4 | 950.2.u.c.549.2 | 12 | |||
5.4 | even | 2 | 190.2.k.a.131.1 | ✓ | 6 | ||
19.9 | even | 9 | inner | 950.2.l.c.351.1 | 6 | ||
95.9 | even | 18 | 190.2.k.a.161.1 | yes | 6 | ||
95.28 | odd | 36 | 950.2.u.c.199.1 | 12 | |||
95.47 | odd | 36 | 950.2.u.c.199.2 | 12 | |||
95.54 | even | 18 | 3610.2.a.x.1.2 | 3 | |||
95.79 | odd | 18 | 3610.2.a.w.1.2 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.a.131.1 | ✓ | 6 | 5.4 | even | 2 | ||
190.2.k.a.161.1 | yes | 6 | 95.9 | even | 18 | ||
950.2.l.c.351.1 | 6 | 19.9 | even | 9 | inner | ||
950.2.l.c.701.1 | 6 | 1.1 | even | 1 | trivial | ||
950.2.u.c.199.1 | 12 | 95.28 | odd | 36 | |||
950.2.u.c.199.2 | 12 | 95.47 | odd | 36 | |||
950.2.u.c.549.1 | 12 | 5.2 | odd | 4 | |||
950.2.u.c.549.2 | 12 | 5.3 | odd | 4 | |||
3610.2.a.w.1.2 | 3 | 95.79 | odd | 18 | |||
3610.2.a.x.1.2 | 3 | 95.54 | even | 18 |