Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(3,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.x (of order \(60\), degree \(16\), 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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 17.1 | ||
Character | \(\chi\) | \(=\) | 350.17 |
Dual form | 350.2.x.a.103.1 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.998630 | + | 0.0523360i | −0.706138 | + | 0.0370071i | ||||
\(3\) | −1.92378 | + | 2.37567i | −1.11070 | + | 1.37160i | −0.189784 | + | 0.981826i | \(0.560779\pi\) |
−0.920912 | + | 0.389770i | \(0.872554\pi\) | |||||||
\(4\) | 0.994522 | − | 0.104528i | 0.497261 | − | 0.0522642i | ||||
\(5\) | 2.13222 | − | 0.673515i | 0.953559 | − | 0.301205i | ||||
\(6\) | 1.79681 | − | 2.47310i | 0.733546 | − | 1.00964i | ||||
\(7\) | −2.09922 | − | 1.61036i | −0.793431 | − | 0.608660i | ||||
\(8\) | −0.987688 | + | 0.156434i | −0.349201 | + | 0.0553079i | ||||
\(9\) | −1.31915 | − | 6.20612i | −0.439717 | − | 2.06871i | ||||
\(10\) | −2.09405 | + | 0.784184i | −0.662198 | + | 0.247981i | ||||
\(11\) | −3.23458 | − | 0.687531i | −0.975262 | − | 0.207298i | −0.307397 | − | 0.951581i | \(-0.599458\pi\) |
−0.667864 | + | 0.744283i | \(0.732791\pi\) | |||||||
\(12\) | −1.66492 | + | 2.56375i | −0.480621 | + | 0.740091i | ||||
\(13\) | −2.06922 | + | 1.05432i | −0.573899 | + | 0.292416i | −0.716753 | − | 0.697328i | \(-0.754372\pi\) |
0.142853 | + | 0.989744i | \(0.454372\pi\) | |||||||
\(14\) | 2.18062 | + | 1.49829i | 0.582796 | + | 0.400435i | ||||
\(15\) | −2.50188 | + | 6.36116i | −0.645983 | + | 1.64245i | ||||
\(16\) | 0.978148 | − | 0.207912i | 0.244537 | − | 0.0519779i | ||||
\(17\) | 1.01749 | − | 2.65065i | 0.246777 | − | 0.642876i | −0.753110 | − | 0.657894i | \(-0.771447\pi\) |
0.999887 | + | 0.0150182i | \(0.00478061\pi\) | |||||||
\(18\) | 1.64215 | + | 6.12857i | 0.387058 | + | 1.44452i | ||||
\(19\) | 0.577213 | − | 5.49182i | 0.132422 | − | 1.25991i | −0.703355 | − | 0.710839i | \(-0.748315\pi\) |
0.835776 | − | 0.549070i | \(-0.185018\pi\) | |||||||
\(20\) | 2.05014 | − | 0.892703i | 0.458426 | − | 0.199615i | ||||
\(21\) | 7.86414 | − | 1.88908i | 1.71610 | − | 0.412231i | ||||
\(22\) | 3.26613 | + | 0.517304i | 0.696341 | + | 0.110290i | ||||
\(23\) | −3.49656e−5 | 0 | 0.000667183i | −7.29082e−6 | 0 | 0.000139117i | 0.998626 | − | 0.0524055i | \(-0.0166888\pi\) |
−0.998633 | + | 0.0522664i | \(0.983356\pi\) | |||||||
\(24\) | 1.52846 | − | 2.64737i | 0.311996 | − | 0.540392i | ||||
\(25\) | 4.09276 | − | 2.87217i | 0.818551 | − | 0.574434i | ||||
\(26\) | 2.01121 | − | 1.16117i | 0.394430 | − | 0.227724i | ||||
\(27\) | 9.11026 | + | 4.64191i | 1.75327 | + | 0.893336i | ||||
\(28\) | −2.25605 | − | 1.38211i | −0.426353 | − | 0.261195i | ||||
\(29\) | −3.29621 | − | 4.53684i | −0.612091 | − | 0.842471i | 0.384657 | − | 0.923060i | \(-0.374320\pi\) |
−0.996747 | + | 0.0805889i | \(0.974320\pi\) | |||||||
\(30\) | 2.16554 | − | 6.48338i | 0.395371 | − | 1.18370i | ||||
\(31\) | 0.0657476 | + | 0.147672i | 0.0118086 | + | 0.0265226i | 0.919354 | − | 0.393432i | \(-0.128712\pi\) |
−0.907545 | + | 0.419955i | \(0.862046\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | 7.85597 | − | 6.36164i | 1.36755 | − | 1.10742i | ||||
\(34\) | −0.877369 | + | 2.70027i | −0.150468 | + | 0.463092i | ||||
\(35\) | −5.56061 | − | 2.01980i | −0.939915 | − | 0.341408i | ||||
\(36\) | −1.96064 | − | 6.03423i | −0.326773 | − | 1.00571i | ||||
\(37\) | −5.62780 | − | 3.65474i | −0.925205 | − | 0.600835i | −0.00831094 | − | 0.999965i | \(-0.502645\pi\) |
−0.916894 | + | 0.399130i | \(0.869312\pi\) | |||||||
\(38\) | −0.289003 | + | 5.51450i | −0.0468824 | + | 0.894570i | ||||
\(39\) | 1.47601 | − | 6.94408i | 0.236351 | − | 1.11194i | ||||
\(40\) | −2.00061 | + | 0.998776i | −0.316324 | + | 0.157920i | ||||
\(41\) | 9.68519 | + | 3.14691i | 1.51257 | + | 0.491464i | 0.943655 | − | 0.330931i | \(-0.107363\pi\) |
0.568917 | + | 0.822395i | \(0.307363\pi\) | |||||||
\(42\) | −7.75450 | + | 2.29807i | −1.19655 | + | 0.354599i | ||||
\(43\) | −5.09720 | + | 5.09720i | −0.777316 | + | 0.777316i | −0.979374 | − | 0.202057i | \(-0.935237\pi\) |
0.202057 | + | 0.979374i | \(0.435237\pi\) | |||||||
\(44\) | −3.28872 | − | 0.345659i | −0.495794 | − | 0.0521100i | ||||
\(45\) | −6.99264 | − | 12.3444i | −1.04240 | − | 1.84019i | ||||
\(46\) | 6.98353e−5 | 0 | 0.000664438i | 1.02967e−5 | 0 | 9.79661e-5i | ||||
\(47\) | 8.75279 | − | 3.35988i | 1.27673 | − | 0.490089i | 0.376865 | − | 0.926268i | \(-0.377002\pi\) |
0.899860 | + | 0.436179i | \(0.143669\pi\) | |||||||
\(48\) | −1.38781 | + | 2.72374i | −0.200314 | + | 0.393138i | ||||
\(49\) | 1.81346 | + | 6.76102i | 0.259066 | + | 0.965860i | ||||
\(50\) | −3.93683 | + | 3.08243i | −0.556752 | + | 0.435922i | ||||
\(51\) | 4.33965 | + | 7.51649i | 0.607672 | + | 1.05252i | ||||
\(52\) | −1.94768 | + | 1.26484i | −0.270095 | + | 0.175402i | ||||
\(53\) | 2.69710 | + | 2.18407i | 0.370475 | + | 0.300005i | 0.796420 | − | 0.604744i | \(-0.206725\pi\) |
−0.425944 | + | 0.904749i | \(0.640058\pi\) | |||||||
\(54\) | −9.34071 | − | 4.15875i | −1.27111 | − | 0.565935i | ||||
\(55\) | −7.35990 | + | 0.712567i | −0.992409 | + | 0.0960825i | ||||
\(56\) | 2.32529 | + | 1.26215i | 0.310730 | + | 0.168661i | ||||
\(57\) | 11.9363 | + | 11.9363i | 1.58101 | + | 1.58101i | ||||
\(58\) | 3.52913 | + | 4.35812i | 0.463398 | + | 0.572249i | ||||
\(59\) | 0.164822 | + | 0.183054i | 0.0214581 | + | 0.0238316i | 0.753778 | − | 0.657129i | \(-0.228229\pi\) |
−0.732320 | + | 0.680960i | \(0.761563\pi\) | |||||||
\(60\) | −1.82325 | + | 6.58784i | −0.235381 | + | 0.850486i | ||||
\(61\) | −10.5043 | − | 9.45815i | −1.34494 | − | 1.21099i | −0.957271 | − | 0.289194i | \(-0.906613\pi\) |
−0.387672 | − | 0.921798i | \(-0.626721\pi\) | |||||||
\(62\) | −0.0733861 | − | 0.144028i | −0.00932004 | − | 0.0182916i | ||||
\(63\) | −7.22491 | + | 15.1523i | −0.910253 | + | 1.90901i | ||||
\(64\) | 0.951057 | − | 0.309017i | 0.118882 | − | 0.0386271i | ||||
\(65\) | −3.70194 | + | 3.64170i | −0.459170 | + | 0.451698i | ||||
\(66\) | −7.51226 | + | 6.76407i | −0.924696 | + | 0.832600i | ||||
\(67\) | −10.4052 | − | 3.99418i | −1.27120 | − | 0.487967i | −0.373111 | − | 0.927787i | \(-0.621709\pi\) |
−0.898086 | + | 0.439820i | \(0.855042\pi\) | |||||||
\(68\) | 0.734846 | − | 2.74248i | 0.0891132 | − | 0.332575i | ||||
\(69\) | 0.00165227 | + | 0.00120045i | 0.000198910 | + | 0.000144517i | ||||
\(70\) | 5.65870 | + | 1.72601i | 0.676344 | + | 0.206297i | ||||
\(71\) | −0.299571 | + | 0.217651i | −0.0355526 | + | 0.0258304i | −0.605420 | − | 0.795906i | \(-0.706995\pi\) |
0.569867 | + | 0.821737i | \(0.306995\pi\) | |||||||
\(72\) | 2.27376 | + | 5.92335i | 0.267965 | + | 0.698073i | ||||
\(73\) | −8.96037 | − | 13.7978i | −1.04873 | − | 1.61491i | −0.751057 | − | 0.660238i | \(-0.770455\pi\) |
−0.297675 | − | 0.954667i | \(-0.596211\pi\) | |||||||
\(74\) | 5.81137 | + | 3.35519i | 0.675557 | + | 0.390033i | ||||
\(75\) | −1.05024 | + | 15.2485i | −0.121271 | + | 1.76074i | ||||
\(76\) | − | 5.52207i | − | 0.633425i | ||||||
\(77\) | 5.68292 | + | 6.65212i | 0.647629 | + | 0.758080i | ||||
\(78\) | −1.11056 | + | 7.01182i | −0.125746 | + | 0.793932i | ||||
\(79\) | −5.63251 | + | 12.6508i | −0.633707 | + | 1.42333i | 0.255945 | + | 0.966691i | \(0.417613\pi\) |
−0.889652 | + | 0.456638i | \(0.849053\pi\) | |||||||
\(80\) | 1.94560 | − | 1.10211i | 0.217524 | − | 0.123220i | ||||
\(81\) | −11.1651 | + | 4.97104i | −1.24057 | + | 0.552337i | ||||
\(82\) | −9.83661 | − | 2.63571i | −1.08627 | − | 0.291066i | ||||
\(83\) | −2.16257 | − | 13.6539i | −0.237372 | − | 1.49871i | −0.762110 | − | 0.647447i | \(-0.775837\pi\) |
0.524738 | − | 0.851264i | \(-0.324163\pi\) | |||||||
\(84\) | 7.62360 | − | 2.70076i | 0.831803 | − | 0.294677i | ||||
\(85\) | 0.384262 | − | 6.33707i | 0.0416790 | − | 0.687351i | ||||
\(86\) | 4.82345 | − | 5.35698i | 0.520126 | − | 0.577659i | ||||
\(87\) | 17.1193 | + | 0.897182i | 1.83538 | + | 0.0961880i | ||||
\(88\) | 3.30231 | + | 0.173067i | 0.352027 | + | 0.0184490i | ||||
\(89\) | −7.34504 | + | 8.15749i | −0.778572 | + | 0.864692i | −0.993721 | − | 0.111889i | \(-0.964310\pi\) |
0.215148 | + | 0.976581i | \(0.430977\pi\) | |||||||
\(90\) | 7.62911 | + | 11.9615i | 0.804179 | + | 1.26085i | ||||
\(91\) | 6.04160 | + | 1.11894i | 0.633332 | + | 0.117297i | ||||
\(92\) | −0.000104514 | 0 | 0.000659873i | −1.08963e−5 | 0 | 6.87965e-5i | ||||
\(93\) | −0.477304 | − | 0.127893i | −0.0494941 | − | 0.0132619i | ||||
\(94\) | −8.56495 | + | 3.81336i | −0.883407 | + | 0.393318i | ||||
\(95\) | −2.46807 | − | 12.0985i | −0.253219 | − | 1.24128i | ||||
\(96\) | 1.24336 | − | 2.79264i | 0.126900 | − | 0.285022i | ||||
\(97\) | −1.00446 | + | 6.34188i | −0.101987 | + | 0.643921i | 0.882746 | + | 0.469850i | \(0.155692\pi\) |
−0.984733 | + | 0.174071i | \(0.944308\pi\) | |||||||
\(98\) | −2.16482 | − | 6.65684i | −0.218680 | − | 0.672443i | ||||
\(99\) | 20.9811i | 2.10868i | ||||||||
\(100\) | 3.77011 | − | 3.28424i | 0.377011 | − | 0.328424i | ||||
\(101\) | 9.26152 | + | 5.34714i | 0.921556 | + | 0.532061i | 0.884131 | − | 0.467239i | \(-0.154751\pi\) |
0.0374249 | + | 0.999299i | \(0.488084\pi\) | |||||||
\(102\) | −4.72708 | − | 7.27907i | −0.468051 | − | 0.720735i | ||||
\(103\) | −2.22434 | − | 5.79461i | −0.219171 | − | 0.570960i | 0.779275 | − | 0.626682i | \(-0.215587\pi\) |
−0.998446 | + | 0.0557217i | \(0.982254\pi\) | |||||||
\(104\) | 1.87882 | − | 1.36504i | 0.184233 | − | 0.133853i | ||||
\(105\) | 15.4958 | − | 9.32455i | 1.51223 | − | 0.909983i | ||||
\(106\) | −2.80771 | − | 2.03992i | −0.272709 | − | 0.198135i | ||||
\(107\) | −0.165076 | + | 0.616071i | −0.0159585 | + | 0.0595578i | −0.973446 | − | 0.228917i | \(-0.926482\pi\) |
0.957487 | + | 0.288475i | \(0.0931482\pi\) | |||||||
\(108\) | 9.54557 | + | 3.66420i | 0.918522 | + | 0.352588i | ||||
\(109\) | −2.65341 | + | 2.38914i | −0.254150 | + | 0.228838i | −0.786351 | − | 0.617780i | \(-0.788032\pi\) |
0.532200 | + | 0.846619i | \(0.321365\pi\) | |||||||
\(110\) | 7.31253 | − | 1.09678i | 0.697222 | − | 0.104574i | ||||
\(111\) | 19.5091 | − | 6.33890i | 1.85173 | − | 0.601662i | ||||
\(112\) | −2.38816 | − | 1.13872i | −0.225660 | − | 0.107599i | ||||
\(113\) | −0.0213454 | − | 0.0418928i | −0.00200801 | − | 0.00394094i | 0.890000 | − | 0.455960i | \(-0.150704\pi\) |
−0.892008 | + | 0.452019i | \(0.850704\pi\) | |||||||
\(114\) | −12.5447 | − | 11.2953i | −1.17492 | − | 1.05790i | ||||
\(115\) | −0.000523912 | − | 0.00139903i | −4.88550e−5 | − | 0.000130460i | ||||
\(116\) | −3.75238 | − | 4.16744i | −0.348400 | − | 0.386937i | ||||
\(117\) | 9.27286 | + | 11.4510i | 0.857276 | + | 1.05865i | ||||
\(118\) | −0.174177 | − | 0.174177i | −0.0160343 | − | 0.0160343i | ||||
\(119\) | −6.40444 | + | 3.92577i | −0.587094 | + | 0.359875i | ||||
\(120\) | 1.47598 | − | 6.67423i | 0.134738 | − | 0.609271i | ||||
\(121\) | −0.0592067 | − | 0.0263605i | −0.00538243 | − | 0.00239641i | ||||
\(122\) | 10.9849 | + | 8.89543i | 0.994530 | + | 0.805354i | ||||
\(123\) | −26.1082 | + | 16.9549i | −2.35410 | + | 1.52877i | ||||
\(124\) | 0.0808233 | + | 0.139990i | 0.00725815 | + | 0.0125715i | ||||
\(125\) | 6.79222 | − | 8.88064i | 0.607515 | − | 0.794308i | ||||
\(126\) | 6.42200 | − | 15.5097i | 0.572117 | − | 1.38171i | ||||
\(127\) | 5.29901 | − | 10.3999i | 0.470211 | − | 0.922841i | −0.527117 | − | 0.849793i | \(-0.676727\pi\) |
0.997328 | − | 0.0730488i | \(-0.0232729\pi\) | |||||||
\(128\) | −0.933580 | + | 0.358368i | −0.0825176 | + | 0.0316756i | ||||
\(129\) | −2.30338 | − | 21.9152i | −0.202801 | − | 1.92953i | ||||
\(130\) | 3.50628 | − | 3.83046i | 0.307521 | − | 0.335953i | ||||
\(131\) | −17.9268 | − | 1.88418i | −1.56627 | − | 0.164621i | −0.718705 | − | 0.695315i | \(-0.755265\pi\) |
−0.847564 | + | 0.530693i | \(0.821932\pi\) | |||||||
\(132\) | 7.14796 | − | 7.14796i | 0.622150 | − | 0.622150i | ||||
\(133\) | −10.0555 | + | 10.5990i | −0.871924 | + | 0.919052i | ||||
\(134\) | 10.6000 | + | 3.44414i | 0.915699 | + | 0.297529i | ||||
\(135\) | 22.5515 | + | 3.76169i | 1.94092 | + | 0.323755i | ||||
\(136\) | −0.590309 | + | 2.77718i | −0.0506185 | + | 0.238141i | ||||
\(137\) | 0.0728840 | − | 1.39071i | 0.00622690 | − | 0.118816i | −0.993747 | − | 0.111651i | \(-0.964386\pi\) |
0.999974 | − | 0.00716492i | \(-0.00228068\pi\) | |||||||
\(138\) | −0.00171284 | − | 0.00111233i | −0.000145806 | − | 9.46877e-5i | ||||
\(139\) | 1.14516 | + | 3.52443i | 0.0971308 | + | 0.298938i | 0.987803 | − | 0.155708i | \(-0.0497659\pi\) |
−0.890672 | + | 0.454646i | \(0.849766\pi\) | |||||||
\(140\) | −5.74128 | − | 1.42749i | −0.485227 | − | 0.120645i | ||||
\(141\) | −8.85648 | + | 27.2574i | −0.745850 | + | 2.29549i | ||||
\(142\) | 0.287770 | − | 0.233031i | 0.0241491 | − | 0.0195555i | ||||
\(143\) | 7.41794 | − | 1.98763i | 0.620319 | − | 0.166214i | ||||
\(144\) | −2.58065 | − | 5.79623i | −0.215054 | − | 0.483019i | ||||
\(145\) | −10.0839 | − | 7.45352i | −0.837421 | − | 0.618981i | ||||
\(146\) | 9.67021 | + | 13.3099i | 0.800312 | + | 1.10153i | ||||
\(147\) | −19.5507 | − | 8.69853i | −1.61251 | − | 0.717443i | ||||
\(148\) | −5.97900 | − | 3.04645i | −0.491471 | − | 0.250417i | ||||
\(149\) | −8.56088 | + | 4.94262i | −0.701334 | + | 0.404916i | −0.807844 | − | 0.589396i | \(-0.799366\pi\) |
0.106510 | + | 0.994312i | \(0.466032\pi\) | |||||||
\(150\) | 0.250753 | − | 15.2825i | 0.0204739 | − | 1.24781i | ||||
\(151\) | 2.07329 | − | 3.59105i | 0.168722 | − | 0.292236i | −0.769249 | − | 0.638950i | \(-0.779369\pi\) |
0.937971 | + | 0.346714i | \(0.112703\pi\) | |||||||
\(152\) | 0.289003 | + | 5.51450i | 0.0234412 | + | 0.447285i | ||||
\(153\) | −17.7924 | − | 2.81805i | −1.43843 | − | 0.227826i | ||||
\(154\) | −6.02328 | − | 6.34559i | −0.485370 | − | 0.511342i | ||||
\(155\) | 0.239648 | + | 0.270587i | 0.0192490 | + | 0.0217341i | ||||
\(156\) | 0.742071 | − | 7.06033i | 0.0594132 | − | 0.565279i | ||||
\(157\) | 5.84762 | + | 21.8236i | 0.466691 | + | 1.74171i | 0.651223 | + | 0.758887i | \(0.274256\pi\) |
−0.184532 | + | 0.982826i | \(0.559077\pi\) | |||||||
\(158\) | 4.96270 | − | 12.9283i | 0.394811 | − | 1.02852i | ||||
\(159\) | −10.3773 | + | 2.20576i | −0.822971 | + | 0.174928i | ||||
\(160\) | −1.88525 | + | 1.20243i | −0.149042 | + | 0.0950601i | ||||
\(161\) | −0.00100101 | + | 0.00145687i | −7.88903e−5 | + | 0.000114818i | ||||
\(162\) | 10.8897 | − | 5.54856i | 0.855573 | − | 0.435936i | ||||
\(163\) | 5.71269 | − | 8.79678i | 0.447453 | − | 0.689017i | −0.540919 | − | 0.841075i | \(-0.681923\pi\) |
0.988372 | + | 0.152058i | \(0.0485900\pi\) | |||||||
\(164\) | 9.96107 | + | 2.11729i | 0.777829 | + | 0.165333i | ||||
\(165\) | 12.4660 | − | 18.8556i | 0.970479 | − | 1.46790i | ||||
\(166\) | 2.87419 | + | 13.5220i | 0.223081 | + | 1.04951i | ||||
\(167\) | 21.4498 | − | 3.39732i | 1.65984 | − | 0.262893i | 0.745104 | − | 0.666948i | \(-0.232400\pi\) |
0.914734 | + | 0.404055i | \(0.132400\pi\) | |||||||
\(168\) | −7.47181 | + | 3.09604i | −0.576462 | + | 0.238865i | ||||
\(169\) | −4.47112 | + | 6.15397i | −0.343932 | + | 0.473382i | ||||
\(170\) | −0.0520788 | + | 6.34849i | −0.00399426 | + | 0.486907i | ||||
\(171\) | −34.8443 | + | 3.66228i | −2.66461 | + | 0.280062i | ||||
\(172\) | −4.53648 | + | 5.60208i | −0.345903 | + | 0.427155i | ||||
\(173\) | 10.7140 | − | 0.561497i | 0.814570 | − | 0.0426898i | 0.359499 | − | 0.933145i | \(-0.382947\pi\) |
0.455070 | + | 0.890455i | \(0.349614\pi\) | |||||||
\(174\) | −17.1427 | −1.29959 | ||||||||
\(175\) | −13.2168 | − | 0.561502i | −0.999099 | − | 0.0424456i | ||||
\(176\) | −3.30684 | −0.249262 | ||||||||
\(177\) | −0.751959 | + | 0.0394085i | −0.0565207 | + | 0.00296212i | ||||
\(178\) | 6.90804 | − | 8.53072i | 0.517780 | − | 0.639405i | ||||
\(179\) | 19.3702 | − | 2.03589i | 1.44779 | − | 0.152169i | 0.652221 | − | 0.758029i | \(-0.273837\pi\) |
0.795572 | + | 0.605859i | \(0.207171\pi\) | |||||||
\(180\) | −8.24467 | − | 11.5458i | −0.614521 | − | 0.860574i | ||||
\(181\) | 5.10657 | − | 7.02859i | 0.379568 | − | 0.522431i | −0.575902 | − | 0.817519i | \(-0.695349\pi\) |
0.955470 | + | 0.295088i | \(0.0953489\pi\) | |||||||
\(182\) | −6.09188 | − | 0.801218i | −0.451560 | − | 0.0593903i | ||||
\(183\) | 42.6775 | − | 6.75946i | 3.15481 | − | 0.499673i | ||||
\(184\) | 0.000138905 | 0 | 0.000653499i | 1.02402e−5 | 0 | 4.81766e-5i | ||||
\(185\) | −14.4613 | − | 4.00231i | −1.06321 | − | 0.294256i | ||||
\(186\) | 0.483343 | + | 0.102738i | 0.0354404 | + | 0.00753309i | ||||
\(187\) | −5.11354 | + | 7.87417i | −0.373939 | + | 0.575816i | ||||
\(188\) | 8.35364 | − | 4.25639i | 0.609251 | − | 0.310429i | ||||
\(189\) | −11.6493 | − | 24.4152i | −0.847362 | − | 1.77595i | ||||
\(190\) | 3.09788 | + | 11.9528i | 0.224744 | + | 0.867147i | ||||
\(191\) | 2.25105 | − | 0.478476i | 0.162880 | − | 0.0346213i | −0.125750 | − | 0.992062i | \(-0.540134\pi\) |
0.288630 | + | 0.957441i | \(0.406800\pi\) | |||||||
\(192\) | −1.09550 | + | 2.85388i | −0.0790611 | + | 0.205961i | ||||
\(193\) | 0.493472 | + | 1.84166i | 0.0355209 | + | 0.132566i | 0.981409 | − | 0.191926i | \(-0.0614734\pi\) |
−0.945888 | + | 0.324492i | \(0.894807\pi\) | |||||||
\(194\) | 0.671171 | − | 6.38576i | 0.0481872 | − | 0.458471i | ||||
\(195\) | −1.52976 | − | 15.8005i | −0.109548 | − | 1.13149i | ||||
\(196\) | 2.51025 | + | 6.53442i | 0.179303 | + | 0.466744i | ||||
\(197\) | −16.8279 | − | 2.66527i | −1.19894 | − | 0.189893i | −0.475142 | − | 0.879909i | \(-0.657603\pi\) |
−0.723794 | + | 0.690016i | \(0.757603\pi\) | |||||||
\(198\) | −1.09807 | − | 20.9524i | −0.0780362 | − | 1.48902i | ||||
\(199\) | 5.69201 | − | 9.85884i | 0.403496 | − | 0.698875i | −0.590650 | − | 0.806928i | \(-0.701128\pi\) |
0.994145 | + | 0.108053i | \(0.0344617\pi\) | |||||||
\(200\) | −3.59306 | + | 3.47706i | −0.254068 | + | 0.245865i | ||||
\(201\) | 29.5062 | − | 17.0354i | 2.08121 | − | 1.20159i | ||||
\(202\) | −9.52868 | − | 4.85510i | −0.670436 | − | 0.341604i | ||||
\(203\) | −0.386489 | + | 14.8319i | −0.0271262 | + | 1.04100i | ||||
\(204\) | 5.10156 | + | 7.02170i | 0.357181 | + | 0.491617i | ||||
\(205\) | 22.7705 | + | 0.186794i | 1.59036 | + | 0.0130463i | ||||
\(206\) | 2.52456 | + | 5.67026i | 0.175895 | + | 0.395066i | ||||
\(207\) | −0.00409449 | + | 0.00109712i | −0.000284587 | + | 7.62548e-5i | ||||
\(208\) | −1.80480 | + | 1.46150i | −0.125140 | + | 0.101337i | ||||
\(209\) | −5.64283 | + | 17.3669i | −0.390323 | + | 1.20129i | ||||
\(210\) | −14.9865 | + | 10.1228i | −1.03417 | + | 0.698537i | ||||
\(211\) | 0.353073 | + | 1.08665i | 0.0243066 | + | 0.0748079i | 0.962474 | − | 0.271374i | \(-0.0874780\pi\) |
−0.938167 | + | 0.346182i | \(0.887478\pi\) | |||||||
\(212\) | 2.91062 | + | 1.89018i | 0.199902 | + | 0.129818i | ||||
\(213\) | 0.0592416 | − | 1.13040i | 0.00405917 | − | 0.0774535i | ||||
\(214\) | 0.132607 | − | 0.623866i | 0.00906482 | − | 0.0426466i | ||||
\(215\) | −7.43534 | + | 14.3014i | −0.507086 | + | 0.975349i | ||||
\(216\) | −9.72425 | − | 3.15960i | −0.661652 | − | 0.214984i | ||||
\(217\) | 0.0997860 | − | 0.415873i | 0.00677391 | − | 0.0282313i | ||||
\(218\) | 2.52473 | − | 2.52473i | 0.170997 | − | 0.170997i | ||||
\(219\) | 50.0168 | + | 5.25697i | 3.37982 | + | 0.355233i | ||||
\(220\) | −7.24510 | + | 1.47798i | −0.488465 | + | 0.0996456i | ||||
\(221\) | 0.689225 | + | 6.55754i | 0.0463623 | + | 0.441108i | ||||
\(222\) | −19.1506 | + | 7.35125i | −1.28531 | + | 0.493383i | ||||
\(223\) | −1.03649 | + | 2.03423i | −0.0694085 | + | 0.136222i | −0.923104 | − | 0.384551i | \(-0.874356\pi\) |
0.853695 | + | 0.520773i | \(0.174356\pi\) | |||||||
\(224\) | 2.44448 | + | 1.01217i | 0.163329 | + | 0.0676286i | ||||
\(225\) | −23.2240 | − | 21.6113i | −1.54827 | − | 1.44075i | ||||
\(226\) | 0.0235087 | + | 0.0407182i | 0.00156377 | + | 0.00270853i | ||||
\(227\) | 0.693409 | − | 0.450305i | 0.0460232 | − | 0.0298878i | −0.521422 | − | 0.853299i | \(-0.674598\pi\) |
0.567446 | + | 0.823411i | \(0.307932\pi\) | |||||||
\(228\) | 13.1186 | + | 10.6233i | 0.868803 | + | 0.703542i | ||||
\(229\) | −7.29016 | − | 3.24579i | −0.481747 | − | 0.214488i | 0.151470 | − | 0.988462i | \(-0.451599\pi\) |
−0.633217 | + | 0.773974i | \(0.718266\pi\) | |||||||
\(230\) | 0.000596414 | 0.00136970i | 3.93263e−5 | 9.03151e-5i | ||||||
\(231\) | −26.7360 | + | 0.703529i | −1.75910 | + | 0.0462888i | ||||
\(232\) | 3.96535 | + | 3.96535i | 0.260338 | + | 0.260338i | ||||
\(233\) | −13.4556 | − | 16.6163i | −0.881508 | − | 1.08857i | −0.995469 | − | 0.0950860i | \(-0.969687\pi\) |
0.113962 | − | 0.993485i | \(-0.463646\pi\) | |||||||
\(234\) | −9.85945 | − | 10.9500i | −0.644533 | − | 0.715826i | ||||
\(235\) | 16.4000 | − | 13.0591i | 1.06982 | − | 0.851885i | ||||
\(236\) | 0.183054 | + | 0.164822i | 0.0119158 | + | 0.0107290i | ||||
\(237\) | −19.2185 | − | 37.7185i | −1.24838 | − | 2.45008i | ||||
\(238\) | 6.19020 | − | 4.25557i | 0.401251 | − | 0.275848i | ||||
\(239\) | −5.40303 | + | 1.75555i | −0.349493 | + | 0.113557i | −0.478502 | − | 0.878086i | \(-0.658820\pi\) |
0.129010 | + | 0.991643i | \(0.458820\pi\) | |||||||
\(240\) | −1.12465 | + | 6.74233i | −0.0725959 | + | 0.435215i | ||||
\(241\) | 8.80814 | − | 7.93088i | 0.567382 | − | 0.510873i | −0.334765 | − | 0.942302i | \(-0.608657\pi\) |
0.902147 | + | 0.431429i | \(0.141990\pi\) | |||||||
\(242\) | 0.0605052 | + | 0.0232258i | 0.00388942 | + | 0.00149301i | ||||
\(243\) | 1.73069 | − | 6.45904i | 0.111024 | − | 0.414347i | ||||
\(244\) | −11.4354 | − | 8.30833i | −0.732079 | − | 0.531886i | ||||
\(245\) | 8.42035 | + | 13.1946i | 0.537957 | + | 0.842972i | ||||
\(246\) | 25.1851 | − | 18.2980i | 1.60574 | − | 1.16664i | ||||
\(247\) | 4.59576 | + | 11.9724i | 0.292421 | + | 0.761783i | ||||
\(248\) | −0.0880391 | − | 0.135568i | −0.00559049 | − | 0.00860860i | ||||
\(249\) | 36.5975 | + | 21.1296i | 2.31927 | + | 1.33903i | ||||
\(250\) | −6.31814 | + | 9.22394i | −0.399594 | + | 0.583373i | ||||
\(251\) | 12.5167i | 0.790050i | 0.918670 | + | 0.395025i | \(0.129264\pi\) | ||||
−0.918670 | + | 0.395025i | \(0.870736\pi\) | |||||||
\(252\) | −5.60148 | + | 15.8245i | −0.352860 | + | 0.996852i | ||||
\(253\) | −0.000345610 | 0.00218209i | −2.17283e−5 | 0.000137187i | ||||||
\(254\) | −4.74746 | + | 10.6630i | −0.297882 | + | 0.669054i | ||||
\(255\) | 14.3156 | + | 13.1040i | 0.896475 | + | 0.820605i | ||||
\(256\) | 0.913545 | − | 0.406737i | 0.0570966 | − | 0.0254210i | ||||
\(257\) | −6.07356 | − | 1.62741i | −0.378858 | − | 0.101515i | 0.0643639 | − | 0.997926i | \(-0.479498\pi\) |
−0.443222 | + | 0.896412i | \(0.646165\pi\) | |||||||
\(258\) | 3.44718 | + | 21.7646i | 0.214612 | + | 1.35501i | ||||
\(259\) | 5.92855 | + | 16.7349i | 0.368382 | + | 1.03986i | ||||
\(260\) | −3.30100 | + | 4.00871i | −0.204720 | + | 0.248610i | ||||
\(261\) | −23.8080 | + | 26.4415i | −1.47368 | + | 1.63668i | ||||
\(262\) | 18.0008 | + | 0.943382i | 1.11209 | + | 0.0582824i | ||||
\(263\) | 18.6544 | + | 0.977635i | 1.15028 | + | 0.0602836i | 0.617924 | − | 0.786238i | \(-0.287974\pi\) |
0.532355 | + | 0.846521i | \(0.321307\pi\) | |||||||
\(264\) | −6.76407 | + | 7.51226i | −0.416300 | + | 0.462348i | ||||
\(265\) | 7.22183 | + | 2.84039i | 0.443633 | + | 0.174484i | ||||
\(266\) | 9.48703 | − | 11.1108i | 0.581687 | − | 0.681244i | ||||
\(267\) | −5.24928 | − | 33.1427i | −0.321251 | − | 2.02830i | ||||
\(268\) | −10.7657 | − | 2.88466i | −0.657620 | − | 0.176209i | ||||
\(269\) | 8.88806 | − | 3.95722i | 0.541915 | − | 0.241276i | −0.117477 | − | 0.993076i | \(-0.537481\pi\) |
0.659392 | + | 0.751800i | \(0.270814\pi\) | |||||||
\(270\) | −22.7175 | − | 2.57628i | −1.38254 | − | 0.156788i | ||||
\(271\) | 2.31266 | − | 5.19432i | 0.140484 | − | 0.315532i | −0.829577 | − | 0.558392i | \(-0.811419\pi\) |
0.970062 | + | 0.242859i | \(0.0780853\pi\) | |||||||
\(272\) | 0.444153 | − | 2.80427i | 0.0269307 | − | 0.170034i | ||||
\(273\) | −14.2810 | + | 12.2003i | −0.864324 | + | 0.738393i | ||||
\(274\) | 1.39262i | 0.0841312i | ||||||||
\(275\) | −15.2130 | + | 6.47636i | −0.917381 | + | 0.390539i | ||||
\(276\) | 0.00176870 | + | 0.00102116i | 0.000106463 | + | 6.14667e-5i | ||||
\(277\) | −0.942933 | − | 1.45199i | −0.0566554 | − | 0.0872416i | 0.809208 | − | 0.587523i | \(-0.199897\pi\) |
−0.865863 | + | 0.500281i | \(0.833230\pi\) | |||||||
\(278\) | −1.32804 | − | 3.45966i | −0.0796506 | − | 0.207497i | ||||
\(279\) | 0.829736 | − | 0.602839i | 0.0496750 | − | 0.0360910i | ||||
\(280\) | 5.80812 | + | 1.12506i | 0.347101 | + | 0.0672351i | ||||
\(281\) | 9.12152 | + | 6.62717i | 0.544144 | + | 0.395344i | 0.825622 | − | 0.564224i | \(-0.190825\pi\) |
−0.281478 | + | 0.959568i | \(0.590825\pi\) | |||||||
\(282\) | 7.41780 | − | 27.6836i | 0.441724 | − | 1.64853i | ||||
\(283\) | 24.3446 | + | 9.34501i | 1.44714 | + | 0.555503i | 0.950022 | − | 0.312182i | \(-0.101060\pi\) |
0.497113 | + | 0.867686i | \(0.334393\pi\) | |||||||
\(284\) | −0.275179 | + | 0.247773i | −0.0163289 | + | 0.0147026i | ||||
\(285\) | 33.4902 | + | 17.4116i | 1.98379 | + | 1.03138i | ||||
\(286\) | −7.30375 | + | 2.37313i | −0.431880 | + | 0.140326i | ||||
\(287\) | −15.2637 | − | 22.2027i | −0.900987 | − | 1.31059i | ||||
\(288\) | 2.88046 | + | 5.65323i | 0.169733 | + | 0.333120i | ||||
\(289\) | 6.64282 | + | 5.98122i | 0.390754 | + | 0.351836i | ||||
\(290\) | 10.4602 | + | 6.91556i | 0.614242 | + | 0.406095i | ||||
\(291\) | −13.1339 | − | 14.5867i | −0.769922 | − | 0.855086i | ||||
\(292\) | −10.3535 | − | 12.7856i | −0.605895 | − | 0.748218i | ||||
\(293\) | 13.7859 | + | 13.7859i | 0.805382 | + | 0.805382i | 0.983931 | − | 0.178549i | \(-0.0571403\pi\) |
−0.178549 | + | 0.983931i | \(0.557140\pi\) | |||||||
\(294\) | 19.9791 | + | 7.66341i | 1.16521 | + | 0.446939i | ||||
\(295\) | 0.474728 | + | 0.279301i | 0.0276397 | + | 0.0162616i | ||||
\(296\) | 6.13024 | + | 2.72936i | 0.356313 | + | 0.158641i | ||||
\(297\) | −26.2764 | − | 21.2782i | −1.52471 | − | 1.23469i | ||||
\(298\) | 8.29047 | − | 5.38389i | 0.480254 | − | 0.311880i | ||||
\(299\) | 0.000775777 | 0.00134368i | 4.48643e−5 | 7.77073e-5i | ||||||
\(300\) | 0.549418 | + | 15.2747i | 0.0317206 | + | 0.881887i | ||||
\(301\) | 18.9085 | − | 2.49181i | 1.08987 | − | 0.143626i | ||||
\(302\) | −1.88251 | + | 3.69464i | −0.108326 | + | 0.212602i | ||||
\(303\) | −30.5202 | + | 11.7156i | −1.75334 | + | 0.673045i | ||||
\(304\) | −0.577213 | − | 5.49182i | −0.0331055 | − | 0.314977i | ||||
\(305\) | −28.7678 | − | 13.0921i | −1.64724 | − | 0.749649i | ||||
\(306\) | 17.9155 | + | 1.88300i | 1.02416 | + | 0.107644i | ||||
\(307\) | −8.04230 | + | 8.04230i | −0.458998 | + | 0.458998i | −0.898327 | − | 0.439328i | \(-0.855216\pi\) |
0.439328 | + | 0.898327i | \(0.355216\pi\) | |||||||
\(308\) | 6.34713 | + | 6.02165i | 0.361661 | + | 0.343116i | ||||
\(309\) | 18.0453 | + | 5.86326i | 1.02656 | + | 0.333549i | ||||
\(310\) | −0.253481 | − | 0.257674i | −0.0143967 | − | 0.0146349i | ||||
\(311\) | 1.18806 | − | 5.58940i | 0.0673689 | − | 0.316946i | −0.931540 | − | 0.363638i | \(-0.881535\pi\) |
0.998909 | + | 0.0466920i | \(0.0148679\pi\) | |||||||
\(312\) | −0.371544 | + | 7.08949i | −0.0210346 | + | 0.401363i | ||||
\(313\) | 6.07169 | + | 3.94300i | 0.343192 | + | 0.222872i | 0.704713 | − | 0.709492i | \(-0.251076\pi\) |
−0.361521 | + | 0.932364i | \(0.617742\pi\) | |||||||
\(314\) | −6.98176 | − | 21.4877i | −0.394004 | − | 1.21262i | ||||
\(315\) | −5.19981 | + | 37.1742i | −0.292976 | + | 2.09453i | ||||
\(316\) | −4.27929 | + | 13.1703i | −0.240729 | + | 0.740887i | ||||
\(317\) | −17.7187 | + | 14.3483i | −0.995183 | + | 0.805884i | −0.980998 | − | 0.194016i | \(-0.937849\pi\) |
−0.0141849 | + | 0.999899i | \(0.504515\pi\) | |||||||
\(318\) | 10.2476 | − | 2.74584i | 0.574658 | − | 0.153979i | ||||
\(319\) | 7.54263 | + | 16.9410i | 0.422306 | + | 0.948515i | ||||
\(320\) | 1.81974 | − | 1.29944i | 0.101726 | − | 0.0726411i | ||||
\(321\) | −1.14601 | − | 1.57735i | −0.0639643 | − | 0.0880393i | ||||
\(322\) | 0.000923387 | − | 0.00150726i | 5.14584e−5 | − | 8.39965e-5i | ||||
\(323\) | −13.9696 | − | 7.11785i | −0.777287 | − | 0.396048i | ||||
\(324\) | −10.5844 | + | 6.11088i | −0.588019 | + | 0.339493i | ||||
\(325\) | −5.44063 | + | 10.2582i | −0.301792 | + | 0.569025i | ||||
\(326\) | −5.24448 | + | 9.08370i | −0.290465 | + | 0.503100i | ||||
\(327\) | −0.571235 | − | 10.8998i | −0.0315894 | − | 0.602761i | ||||
\(328\) | −10.0582 | − | 1.59307i | −0.555373 | − | 0.0879624i | ||||
\(329\) | −23.7847 | − | 7.04203i | −1.31129 | − | 0.388240i | ||||
\(330\) | −11.4621 | + | 19.4821i | −0.630969 | + | 1.07246i | ||||
\(331\) | 2.09714 | − | 19.9530i | 0.115269 | − | 1.09671i | −0.772051 | − | 0.635560i | \(-0.780769\pi\) |
0.887320 | − | 0.461153i | \(-0.152564\pi\) | |||||||
\(332\) | −3.57794 | − | 13.3531i | −0.196365 | − | 0.732844i | ||||
\(333\) | −15.2578 | + | 39.7480i | −0.836123 | + | 2.17817i | ||||
\(334\) | −21.2426 | + | 4.51526i | −1.16235 | + | 0.247064i | ||||
\(335\) | −24.8764 | − | 1.50843i | −1.35914 | − | 0.0824144i | ||||
\(336\) | 7.29953 | − | 3.48284i | 0.398222 | − | 0.190005i | ||||
\(337\) | −29.0821 | + | 14.8181i | −1.58420 | + | 0.807192i | −0.999990 | − | 0.00440773i | \(-0.998597\pi\) |
−0.584214 | + | 0.811600i | \(0.698597\pi\) | |||||||
\(338\) | 4.14292 | − | 6.37953i | 0.225345 | − | 0.347001i | ||||
\(339\) | 0.140587 | + | 0.0298828i | 0.00763566 | + | 0.00162301i | ||||
\(340\) | −0.280247 | − | 6.34252i | −0.0151985 | − | 0.343971i | ||||
\(341\) | −0.111137 | − | 0.522859i | −0.00601841 | − | 0.0283144i | ||||
\(342\) | 34.6049 | − | 5.48087i | 1.87122 | − | 0.296372i | ||||
\(343\) | 7.08083 | − | 17.1132i | 0.382329 | − | 0.924026i | ||||
\(344\) | 4.23707 | − | 5.83183i | 0.228448 | − | 0.314431i | ||||
\(345\) | 0.00433154 | + | 0.00144679i | 0.000233202 | + | 7.78926e-5i | ||||
\(346\) | −10.6699 | + | 1.12145i | −0.573619 | + | 0.0602898i | ||||
\(347\) | −3.82254 | + | 4.72044i | −0.205204 | + | 0.253406i | −0.869350 | − | 0.494197i | \(-0.835462\pi\) |
0.664146 | + | 0.747603i | \(0.268796\pi\) | |||||||
\(348\) | 17.1193 | − | 0.897182i | 0.917688 | − | 0.0480940i | ||||
\(349\) | −2.67562 | −0.143223 | −0.0716113 | − | 0.997433i | \(-0.522814\pi\) | ||||
−0.0716113 | + | 0.997433i | \(0.522814\pi\) | |||||||
\(350\) | 13.2281 | − | 0.130983i | 0.707072 | − | 0.00700134i | ||||
\(351\) | −23.7452 | −1.26743 | ||||||||
\(352\) | 3.30231 | − | 0.173067i | 0.176014 | − | 0.00922448i | ||||
\(353\) | −10.6110 | + | 13.1035i | −0.564766 | + | 0.697427i | −0.976900 | − | 0.213695i | \(-0.931450\pi\) |
0.412135 | + | 0.911123i | \(0.364783\pi\) | |||||||
\(354\) | 0.748866 | − | 0.0787090i | 0.0398018 | − | 0.00418333i | ||||
\(355\) | −0.492161 | + | 0.665847i | −0.0261212 | + | 0.0353395i | ||||
\(356\) | −6.45211 | + | 8.88057i | −0.341961 | + | 0.470669i | ||||
\(357\) | 2.99439 | − | 22.7672i | 0.158480 | − | 1.20497i | ||||
\(358\) | −19.2371 | + | 3.04685i | −1.01671 | + | 0.161031i | ||||
\(359\) | 1.10545 | + | 5.20073i | 0.0583434 | + | 0.274484i | 0.997643 | − | 0.0686130i | \(-0.0218574\pi\) |
−0.939300 | + | 0.343097i | \(0.888524\pi\) | |||||||
\(360\) | 8.83763 | + | 11.0985i | 0.465784 | + | 0.584942i | ||||
\(361\) | −11.2421 | − | 2.38958i | −0.591688 | − | 0.125767i | ||||
\(362\) | −4.73172 | + | 7.28622i | −0.248694 | + | 0.382955i | ||||
\(363\) | 0.176525 | − | 0.0899439i | 0.00926515 | − | 0.00472083i | ||||
\(364\) | 6.12546 | + | 0.481296i | 0.321062 | + | 0.0252268i | ||||
\(365\) | −28.3985 | − | 23.3850i | −1.48645 | − | 1.22402i | ||||
\(366\) | −42.2653 | + | 8.98376i | −2.20924 | + | 0.469589i | ||||
\(367\) | −8.71942 | + | 22.7149i | −0.455150 | + | 1.18571i | 0.493603 | + | 0.869687i | \(0.335680\pi\) |
−0.948753 | + | 0.316019i | \(0.897654\pi\) | |||||||
\(368\) | −0.000172917 | 0 | 0.000645333i | −9.01390e−6 | 0 | 3.36403e-5i | ||||
\(369\) | 6.75386 | − | 64.2586i | 0.351592 | − | 3.34517i | ||||
\(370\) | 14.6509 | + | 3.23998i | 0.761664 | + | 0.168439i | ||||
\(371\) | −2.14467 | − | 8.92816i | −0.111346 | − | 0.463527i | ||||
\(372\) | −0.488057 | − | 0.0773007i | −0.0253046 | − | 0.00400785i | ||||
\(373\) | −1.03180 | − | 19.6879i | −0.0534246 | − | 1.01940i | −0.885471 | − | 0.464695i | \(-0.846164\pi\) |
0.832046 | − | 0.554706i | \(-0.187169\pi\) | |||||||
\(374\) | 4.69443 | − | 8.13100i | 0.242743 | − | 0.420444i | ||||
\(375\) | 8.03074 | + | 33.2205i | 0.414706 | + | 1.71550i | ||||
\(376\) | −8.11942 | + | 4.68775i | −0.418727 | + | 0.241752i | ||||
\(377\) | 11.6039 | + | 5.91248i | 0.597631 | + | 0.304508i | ||||
\(378\) | 12.9111 | + | 23.7721i | 0.664077 | + | 1.22270i | ||||
\(379\) | −3.80176 | − | 5.23267i | −0.195283 | − | 0.268784i | 0.700135 | − | 0.714011i | \(-0.253123\pi\) |
−0.895418 | + | 0.445226i | \(0.853123\pi\) | |||||||
\(380\) | −3.71920 | − | 11.7743i | −0.190791 | − | 0.604008i | ||||
\(381\) | 14.5126 | + | 32.5959i | 0.743504 | + | 1.66994i | ||||
\(382\) | −2.22292 | + | 0.595631i | −0.113735 | + | 0.0304751i | ||||
\(383\) | 11.0143 | − | 8.91920i | 0.562804 | − | 0.455750i | −0.305213 | − | 0.952284i | \(-0.598728\pi\) |
0.868017 | + | 0.496534i | \(0.165394\pi\) | |||||||
\(384\) | 0.944641 | − | 2.90730i | 0.0482060 | − | 0.148363i | ||||
\(385\) | 16.5976 | + | 10.3563i | 0.845890 | + | 0.527805i | ||||
\(386\) | −0.589181 | − | 1.81331i | −0.0299885 | − | 0.0922952i | ||||
\(387\) | 38.3578 | + | 24.9099i | 1.94984 | + | 1.26624i | ||||
\(388\) | −0.336046 | + | 6.41214i | −0.0170601 | + | 0.325527i | ||||
\(389\) | 0.539026 | − | 2.53592i | 0.0273297 | − | 0.128576i | −0.962368 | − | 0.271750i | \(-0.912398\pi\) |
0.989698 | + | 0.143174i | \(0.0457309\pi\) | |||||||
\(390\) | 2.35460 | + | 15.6987i | 0.119230 | + | 0.794937i | ||||
\(391\) | −0.00180404 | 0.000586169i | −9.12344e−5 | 2.96438e-5i | ||||||
\(392\) | −2.84879 | − | 6.39409i | −0.143886 | − | 0.322950i | ||||
\(393\) | 38.9634 | − | 38.9634i | 1.96544 | − | 1.96544i | ||||
\(394\) | 16.9443 | + | 1.78092i | 0.853642 | + | 0.0897214i | ||||
\(395\) | −3.48925 | + | 30.7680i | −0.175563 | + | 1.54811i | ||||
\(396\) | 2.19312 | + | 20.8662i | 0.110209 | + | 1.04857i | ||||
\(397\) | 37.0009 | − | 14.2033i | 1.85702 | − | 0.712844i | 0.891214 | − | 0.453582i | \(-0.149854\pi\) |
0.965807 | − | 0.259262i | \(-0.0834792\pi\) | |||||||
\(398\) | −5.16823 | + | 10.1432i | −0.259060 | + | 0.508434i | ||||
\(399\) | −5.83518 | − | 44.2788i | −0.292124 | − | 2.21671i | ||||
\(400\) | 3.40616 | − | 3.66034i | 0.170308 | − | 0.183017i | ||||
\(401\) | −1.02087 | − | 1.76820i | −0.0509800 | − | 0.0882999i | 0.839409 | − | 0.543500i | \(-0.182901\pi\) |
−0.890389 | + | 0.455200i | \(0.849568\pi\) | |||||||
\(402\) | −28.5742 | + | 18.5563i | −1.42515 | + | 0.925505i | ||||
\(403\) | −0.291740 | − | 0.236246i | −0.0145326 | − | 0.0117683i | ||||
\(404\) | 9.76972 | + | 4.34976i | 0.486062 | + | 0.216409i | ||||
\(405\) | −20.4585 | + | 18.1192i | −1.01659 | + | 0.900352i | ||||
\(406\) | −0.390284 | − | 14.8318i | −0.0193695 | − | 0.736092i | ||||
\(407\) | 15.6908 | + | 15.6908i | 0.777765 | + | 0.777765i | ||||
\(408\) | −5.46206 | − | 6.74508i | −0.270412 | − | 0.333931i | ||||
\(409\) | 22.5548 | + | 25.0496i | 1.11526 | + | 1.23862i | 0.968383 | + | 0.249469i | \(0.0802560\pi\) |
0.146879 | + | 0.989155i | \(0.453077\pi\) | |||||||
\(410\) | −22.7490 | + | 1.00518i | −1.12350 | + | 0.0496421i | ||||
\(411\) | 3.16366 | + | 2.84857i | 0.156052 | + | 0.140510i | ||||
\(412\) | −2.81786 | − | 5.53036i | −0.138826 | − | 0.272461i | ||||
\(413\) | −0.0512157 | − | 0.649695i | −0.00252016 | − | 0.0319694i | ||||
\(414\) | 0.00403146 | − | 0.00130990i | 0.000198135 | − | 6.43781e-5i | ||||
\(415\) | −13.8072 | − | 27.6567i | −0.677768 | − | 1.35761i | ||||
\(416\) | 1.72584 | − | 1.55395i | 0.0846161 | − | 0.0761887i | ||||
\(417\) | −10.5759 | − | 4.05971i | −0.517905 | − | 0.198805i | ||||
\(418\) | 4.72619 | − | 17.6384i | 0.231165 | − | 0.862721i | ||||
\(419\) | −11.2688 | − | 8.18723i | −0.550515 | − | 0.399972i | 0.277461 | − | 0.960737i | \(-0.410507\pi\) |
−0.827975 | + | 0.560765i | \(0.810507\pi\) | |||||||
\(420\) | 14.4362 | − | 10.8932i | 0.704415 | − | 0.531535i | ||||
\(421\) | −1.33338 | + | 0.968756i | −0.0649848 | + | 0.0472143i | −0.619803 | − | 0.784757i | \(-0.712788\pi\) |
0.554819 | + | 0.831971i | \(0.312788\pi\) | |||||||
\(422\) | −0.409460 | − | 1.06668i | −0.0199322 | − | 0.0519252i | ||||
\(423\) | −32.3981 | − | 49.8886i | −1.57525 | − | 2.42567i | ||||
\(424\) | −3.00556 | − | 1.73526i | −0.145963 | − | 0.0842717i | ||||
\(425\) | −3.44878 | − | 13.7708i | −0.167290 | − | 0.667984i | ||||
\(426\) | 1.13195i | 0.0548431i | ||||||||
\(427\) | 6.81988 | + | 36.7705i | 0.330037 | + | 1.77945i | ||||
\(428\) | −0.0997745 | + | 0.629951i | −0.00482278 | + | 0.0304498i | ||||
\(429\) | −9.54854 | + | 21.4464i | −0.461008 | + | 1.03544i | ||||
\(430\) | 6.67667 | − | 14.6710i | 0.321977 | − | 0.707496i | ||||
\(431\) | 25.1043 | − | 11.1771i | 1.20923 | − | 0.538384i | 0.299704 | − | 0.954032i | \(-0.403112\pi\) |
0.909525 | + | 0.415648i | \(0.136445\pi\) | |||||||
\(432\) | 9.87629 | + | 2.64634i | 0.475173 | + | 0.127322i | ||||
\(433\) | 0.781296 | + | 4.93291i | 0.0375467 | + | 0.237061i | 0.999324 | − | 0.0367737i | \(-0.0117081\pi\) |
−0.961777 | + | 0.273834i | \(0.911708\pi\) | |||||||
\(434\) | −0.0778841 | + | 0.420525i | −0.00373856 | + | 0.0201859i | ||||
\(435\) | 37.1063 | − | 9.61708i | 1.77911 | − | 0.461104i | ||||
\(436\) | −2.38914 | + | 2.65341i | −0.114419 | + | 0.127075i | ||||
\(437\) | −0.00368423 | 0.000193082i | −0.000176241 | 9.23637e-6i | ||||||
\(438\) | −50.2233 | − | 2.63209i | −2.39976 | − | 0.125766i | ||||
\(439\) | −3.95624 | + | 4.39385i | −0.188821 | + | 0.209707i | −0.830121 | − | 0.557583i | \(-0.811729\pi\) |
0.641300 | + | 0.767290i | \(0.278395\pi\) | |||||||
\(440\) | 7.15782 | − | 1.85514i | 0.341236 | − | 0.0884402i | ||||
\(441\) | 39.5674 | − | 20.1734i | 1.88416 | − | 0.960637i | ||||
\(442\) | −1.03148 | − | 6.51248i | −0.0490623 | − | 0.309767i | ||||
\(443\) | 4.76682 | + | 1.27726i | 0.226478 | + | 0.0606847i | 0.370273 | − | 0.928923i | \(-0.379264\pi\) |
−0.143795 | + | 0.989607i | \(0.545931\pi\) | |||||||
\(444\) | 18.7397 | − | 8.34344i | 0.889345 | − | 0.395962i | ||||
\(445\) | −10.1671 | + | 22.3406i | −0.481965 | + | 1.05905i | ||||
\(446\) | 0.928606 | − | 2.08568i | 0.0439708 | − | 0.0987600i | ||||
\(447\) | 4.72720 | − | 29.8464i | 0.223589 | − | 1.41169i | ||||
\(448\) | −2.49411 | − | 0.882851i | −0.117836 | − | 0.0417108i | ||||
\(449\) | − | 19.7518i | − | 0.932146i | −0.884746 | − | 0.466073i | \(-0.845668\pi\) | ||
0.884746 | − | 0.466073i | \(-0.154332\pi\) | |||||||
\(450\) | 24.3232 | + | 20.3662i | 1.14661 | + | 0.960073i | ||||
\(451\) | −29.1639 | − | 16.8378i | −1.37327 | − | 0.792860i | ||||
\(452\) | −0.0256075 | − | 0.0394321i | −0.00120447 | − | 0.00185473i | ||||
\(453\) | 4.54260 | + | 11.8339i | 0.213430 | + | 0.556004i | ||||
\(454\) | −0.668892 | + | 0.485978i | −0.0313926 | + | 0.0228081i | ||||
\(455\) | 13.6357 | − | 1.68327i | 0.639250 | − | 0.0789127i | ||||
\(456\) | −13.6566 | − | 9.92212i | −0.639530 | − | 0.464646i | ||||
\(457\) | 6.85990 | − | 25.6015i | 0.320893 | − | 1.19759i | −0.597484 | − | 0.801881i | \(-0.703833\pi\) |
0.918377 | − | 0.395707i | \(-0.129501\pi\) | |||||||
\(458\) | 7.45004 | + | 2.85980i | 0.348118 | + | 0.133630i | ||||
\(459\) | 21.5736 | − | 19.4250i | 1.00697 | − | 0.906681i | ||||
\(460\) | −0.000667281 | − | 0.00133661i | −3.11121e−5 | − | 6.23195e-5i | ||||
\(461\) | 26.1816 | − | 8.50693i | 1.21940 | − | 0.396207i | 0.372537 | − | 0.928018i | \(-0.378488\pi\) |
0.846863 | + | 0.531810i | \(0.178488\pi\) | |||||||
\(462\) | 26.6625 | − | 2.10182i | 1.24045 | − | 0.0977854i | ||||
\(463\) | −9.11101 | − | 17.8814i | −0.423425 | − | 0.831018i | −0.999903 | − | 0.0139056i | \(-0.995574\pi\) |
0.576479 | − | 0.817112i | \(-0.304426\pi\) | |||||||
\(464\) | −4.16744 | − | 3.75238i | −0.193469 | − | 0.174200i | ||||
\(465\) | −1.10386 | + | 0.0487744i | −0.0511901 | + | 0.00226186i | ||||
\(466\) | 14.3068 | + | 15.8893i | 0.662751 | + | 0.736059i | ||||
\(467\) | 3.47322 | + | 4.28907i | 0.160722 | + | 0.198475i | 0.851145 | − | 0.524931i | \(-0.175909\pi\) |
−0.690423 | + | 0.723406i | \(0.742576\pi\) | |||||||
\(468\) | 10.4190 | + | 10.4190i | 0.481620 | + | 0.481620i | ||||
\(469\) | 15.4107 | + | 25.1408i | 0.711602 | + | 1.16090i | ||||
\(470\) | −15.6940 | + | 13.8996i | −0.723912 | + | 0.641139i | ||||
\(471\) | −63.0953 | − | 28.0918i | −2.90728 | − | 1.29440i | ||||
\(472\) | −0.191429 | − | 0.155016i | −0.00881124 | − | 0.00713520i | ||||
\(473\) | 19.9918 | − | 12.9828i | 0.919223 | − | 0.596950i | ||||
\(474\) | 21.1662 | + | 36.6610i | 0.972196 | + | 1.68389i | ||||
\(475\) | −13.4110 | − | 24.1345i | −0.615340 | − | 1.10737i | ||||
\(476\) | −5.95900 | + | 4.57371i | −0.273130 | + | 0.209636i | ||||
\(477\) | 9.99671 | − | 19.6196i | 0.457718 | − | 0.898322i | ||||
\(478\) | 5.30374 | − | 2.03592i | 0.242588 | − | 0.0931206i | ||||
\(479\) | −2.90004 | − | 27.5921i | −0.132506 | − | 1.26071i | −0.835489 | − | 0.549507i | \(-0.814816\pi\) |
0.702983 | − | 0.711207i | \(-0.251851\pi\) | |||||||
\(480\) | 0.770243 | − | 6.79195i | 0.0351566 | − | 0.310009i | ||||
\(481\) | 15.4985 | + | 1.62895i | 0.706669 | + | 0.0742739i | ||||
\(482\) | −8.38100 | + | 8.38100i | −0.381744 | + | 0.381744i | ||||
\(483\) | −0.00153533 | − | 0.00518077i | −6.98601e−5 | − | 0.000235733i | ||||
\(484\) | −0.0616378 | − | 0.0200273i | −0.00280172 | − | 0.000910334i | ||||
\(485\) | 2.12963 | + | 14.1988i | 0.0967015 | + | 0.644736i | ||||
\(486\) | −1.39028 | + | 6.54076i | −0.0630645 | + | 0.296695i | ||||
\(487\) | 0.592952 | − | 11.3142i | 0.0268692 | − | 0.512695i | −0.951732 | − | 0.306930i | \(-0.900698\pi\) |
0.978601 | − | 0.205765i | \(-0.0659683\pi\) | |||||||
\(488\) | 11.8546 | + | 7.69846i | 0.536632 | + | 0.348493i | ||||
\(489\) | 9.90829 | + | 30.4946i | 0.448068 | + | 1.37901i | ||||
\(490\) | −9.09937 | − | 12.7358i | −0.411068 | − | 0.575346i | ||||
\(491\) | −3.17666 | + | 9.77674i | −0.143361 | + | 0.441218i | −0.996797 | − | 0.0799793i | \(-0.974515\pi\) |
0.853436 | + | 0.521198i | \(0.174515\pi\) | |||||||
\(492\) | −24.1929 | + | 19.5910i | −1.09070 | + | 0.883233i | ||||
\(493\) | −15.3794 | + | 4.12090i | −0.692655 | + | 0.185596i | ||||
\(494\) | −5.21605 | − | 11.7154i | −0.234681 | − | 0.527102i | ||||
\(495\) | 14.1311 | + | 44.7364i | 0.635146 | + | 2.01075i | ||||
\(496\) | 0.0950135 | + | 0.130775i | 0.00426623 | + | 0.00587197i | ||||
\(497\) | 0.979363 | + | 0.0255202i | 0.0439305 | + | 0.00114474i | ||||
\(498\) | −37.6532 | − | 19.1853i | −1.68728 | − | 0.859713i | ||||
\(499\) | −11.7092 | + | 6.76030i | −0.524175 | + | 0.302633i | −0.738641 | − | 0.674099i | \(-0.764532\pi\) |
0.214466 | + | 0.976731i | \(0.431199\pi\) | |||||||
\(500\) | 5.82673 | − | 9.54197i | 0.260579 | − | 0.426730i | ||||
\(501\) | −33.1939 | + | 57.4935i | −1.48299 | + | 2.56862i | ||||
\(502\) | −0.655076 | − | 12.4996i | −0.0292375 | − | 0.557884i | ||||
\(503\) | −4.65870 | − | 0.737865i | −0.207721 | − | 0.0328998i | 0.0517066 | − | 0.998662i | \(-0.483534\pi\) |
−0.259428 | + | 0.965763i | \(0.583534\pi\) | |||||||
\(504\) | 4.76561 | − | 16.0960i | 0.212277 | − | 0.716973i | ||||
\(505\) | 23.3490 | + | 5.16353i | 1.03902 | + | 0.229774i | ||||
\(506\) | 0.000230934 | − | 0.00219719i | 1.02663e−5 | − | 9.76771e-5i | ||||
\(507\) | −6.01836 | − | 22.4608i | −0.267285 | − | 0.997520i | ||||
\(508\) | 4.18290 | − | 10.8968i | 0.185586 | − | 0.483468i | ||||
\(509\) | 25.8495 | − | 5.49449i | 1.14576 | − | 0.243539i | 0.404359 | − | 0.914601i | \(-0.367495\pi\) |
0.741401 | + | 0.671062i | \(0.234161\pi\) | |||||||
\(510\) | −14.9818 | − | 12.3368i | −0.663403 | − | 0.546284i | ||||
\(511\) | −3.40960 | + | 43.3940i | −0.150832 | + | 1.91964i | ||||
\(512\) | −0.891007 | + | 0.453990i | −0.0393773 | + | 0.0200637i | ||||
\(513\) | 30.7511 | − | 47.3525i | 1.35769 | − | 2.09066i | ||||
\(514\) | 6.15041 | + | 1.30731i | 0.271283 | + | 0.0576630i | ||||
\(515\) | −8.64555 | − | 10.8573i | −0.380969 | − | 0.478429i | ||||
\(516\) | −4.58153 | − | 21.5544i | −0.201690 | − | 0.948879i | ||||
\(517\) | −30.6216 | + | 4.84998i | −1.34674 | + | 0.213302i | ||||
\(518\) | −6.79626 | − | 16.4017i | −0.298611 | − | 0.720649i | ||||
\(519\) | −19.2775 | + | 26.5332i | −0.846187 | + | 1.16468i | ||||
\(520\) | 3.08668 | − | 4.17598i | 0.135360 | − | 0.183129i | ||||
\(521\) | −2.60103 | + | 0.273379i | −0.113953 | + | 0.0119770i | −0.161333 | − | 0.986900i | \(-0.551579\pi\) |
0.0473802 | + | 0.998877i | \(0.484913\pi\) | |||||||
\(522\) | 22.3915 | − | 27.6512i | 0.980050 | − | 1.21026i | ||||
\(523\) | −8.20732 | + | 0.430127i | −0.358881 | + | 0.0188082i | −0.230925 | − | 0.972972i | \(-0.574175\pi\) |
−0.127956 | + | 0.991780i | \(0.540842\pi\) | |||||||
\(524\) | −18.0255 | −0.787448 | ||||||||
\(525\) | 26.7603 | − | 30.3187i | 1.16791 | − | 1.32322i | ||||
\(526\) | −18.6800 | −0.814486 | ||||||||
\(527\) | 0.458323 | − | 0.0240197i | 0.0199648 | − | 0.00104631i | ||||
\(528\) | 6.36164 | − | 7.85597i | 0.276855 | − | 0.341887i | ||||
\(529\) | 22.8740 | − | 2.40415i | 0.994522 | − | 0.104528i | ||||
\(530\) | −7.36058 | − | 2.45853i | −0.319723 | − | 0.106792i | ||||
\(531\) | 0.918628 | − | 1.26438i | 0.0398651 | − | 0.0548696i | ||||
\(532\) | −8.89253 | + | 11.5920i | −0.385540 | + | 0.502579i | ||||
\(533\) | −23.3587 | + | 3.69965i | −1.01178 | + | 0.160250i | ||||
\(534\) | 6.97664 | + | 32.8225i | 0.301909 | + | 1.42037i | ||||
\(535\) | 0.0629546 | + | 1.42478i | 0.00272177 | + | 0.0615987i | ||||
\(536\) | 10.9019 | + | 2.31728i | 0.470891 | + | 0.100091i | ||||
\(537\) | −32.4274 | + | 49.9338i | −1.39934 | + | 2.15480i | ||||
\(538\) | −8.66878 | + | 4.41696i | −0.373737 | + | 0.190429i | ||||
\(539\) | −1.21738 | − | 23.1158i | −0.0524363 | − | 0.995670i | ||||
\(540\) | 22.8212 | + | 1.38381i | 0.982067 | + | 0.0595498i | ||||
\(541\) | −1.92089 | + | 0.408298i | −0.0825855 | + | 0.0175541i | −0.249019 | − | 0.968499i | \(-0.580108\pi\) |
0.166434 | + | 0.986053i | \(0.446775\pi\) | |||||||
\(542\) | −2.03764 | + | 5.30823i | −0.0875241 | + | 0.228008i | ||||
\(543\) | 6.87371 | + | 25.6530i | 0.294979 | + | 1.10088i | ||||
\(544\) | −0.296780 | + | 2.82367i | −0.0127243 | + | 0.121064i | ||||
\(545\) | −4.04854 | + | 6.88129i | −0.173420 | + | 0.294762i | ||||
\(546\) | 13.6229 | − | 12.9309i | 0.583006 | − | 0.553393i | ||||
\(547\) | 22.1574 | + | 3.50939i | 0.947383 | + | 0.150051i | 0.610961 | − | 0.791661i | \(-0.290783\pi\) |
0.336422 | + | 0.941711i | \(0.390783\pi\) | |||||||
\(548\) | −0.0728840 | − | 1.39071i | −0.00311345 | − | 0.0594082i | ||||
\(549\) | −44.8416 | + | 77.6679i | −1.91379 | + | 3.31478i | ||||
\(550\) | 14.8532 | − | 7.26367i | 0.633344 | − | 0.309724i | ||||
\(551\) | −26.8181 | + | 15.4835i | −1.14249 | + | 0.659618i | ||||
\(552\) | −0.00181972 | 0.000927196i | −7.74526e−5 | 3.94641e-5i | ||||||
\(553\) | 32.1963 | − | 17.4865i | 1.36913 | − | 0.743602i | ||||
\(554\) | 1.01763 | + | 1.40065i | 0.0432350 | + | 0.0595079i | ||||
\(555\) | 37.3285 | − | 26.6557i | 1.58451 | − | 1.13147i | ||||
\(556\) | 1.50728 | + | 3.38542i | 0.0639231 | + | 0.143574i | ||||
\(557\) | 41.4158 | − | 11.0973i | 1.75485 | − | 0.470209i | 0.769196 | − | 0.639013i | \(-0.220657\pi\) |
0.985650 | + | 0.168804i | \(0.0539905\pi\) | |||||||
\(558\) | −0.797049 | + | 0.645437i | −0.0337418 | + | 0.0273235i | ||||
\(559\) | 5.17316 | − | 15.9213i | 0.218801 | − | 0.673401i | ||||
\(560\) | −5.85904 | − | 0.819543i | −0.247590 | − | 0.0346320i | ||||
\(561\) | −8.86911 | − | 27.2963i | −0.374454 | − | 1.15245i | ||||
\(562\) | −9.45586 | − | 6.14070i | −0.398871 | − | 0.259030i | ||||
\(563\) | 1.41813 | − | 27.0596i | 0.0597672 | − | 1.14043i | −0.789944 | − | 0.613179i | \(-0.789891\pi\) |
0.849712 | − | 0.527248i | \(-0.176776\pi\) | |||||||
\(564\) | −5.95879 | + | 28.0339i | −0.250910 | + | 1.18044i | ||||
\(565\) | −0.0737286 | − | 0.0749483i | −0.00310179 | − | 0.00315310i | ||||
\(566\) | −24.8003 | − | 8.05811i | −1.04243 | − | 0.338708i | ||||
\(567\) | 31.4433 | + | 7.54460i | 1.32049 | + | 0.316844i | ||||
\(568\) | 0.261835 | − | 0.261835i | 0.0109863 | − | 0.0109863i | ||||
\(569\) | −39.7449 | − | 4.17735i | −1.66619 | − | 0.175124i | −0.776007 | − | 0.630725i | \(-0.782758\pi\) |
−0.890184 | + | 0.455601i | \(0.849424\pi\) | |||||||
\(570\) | −34.3556 | − | 15.6350i | −1.43900 | − | 0.654879i | ||||
\(571\) | −4.92287 | − | 46.8380i | −0.206016 | − | 1.96011i | −0.272025 | − | 0.962290i | \(-0.587693\pi\) |
0.0660095 | − | 0.997819i | \(-0.478973\pi\) | |||||||
\(572\) | 7.16954 | − | 2.75213i | 0.299774 | − | 0.115072i | ||||
\(573\) | −3.19383 | + | 6.26825i | −0.133424 | + | 0.261860i | ||||
\(574\) | 16.4048 | + | 21.3735i | 0.684722 | + | 0.892111i | ||||
\(575\) | −0.00205937 | − | 0.00263019i | −8.58815e−5 | − | 0.000109686i | ||||
\(576\) | −3.17238 | − | 5.49473i | −0.132183 | − | 0.228947i | ||||
\(577\) | 17.9969 | − | 11.6873i | 0.749221 | − | 0.486550i | −0.112677 | − | 0.993632i | \(-0.535942\pi\) |
0.861898 | + | 0.507082i | \(0.169276\pi\) | |||||||
\(578\) | −6.94674 | − | 5.62536i | −0.288946 | − | 0.233984i | ||||
\(579\) | −5.32452 | − | 2.37063i | −0.221280 | − | 0.0985200i | ||||
\(580\) | −10.8078 | − | 6.35864i | −0.448768 | − | 0.264028i | ||||
\(581\) | −17.4480 | + | 32.1451i | −0.723867 | + | 1.33360i | ||||
\(582\) | 13.8793 | + | 13.8793i | 0.575316 | + | 0.575316i | ||||
\(583\) | −7.22237 | − | 8.91888i | −0.299120 | − | 0.369382i | ||||
\(584\) | 11.0085 | + | 12.2262i | 0.455535 | + | 0.505923i | ||||
\(585\) | 27.4843 | + | 18.1707i | 1.13633 | + | 0.751268i | ||||
\(586\) | −14.4885 | − | 13.0455i | −0.598516 | − | 0.538906i | ||||
\(587\) | 5.53059 | + | 10.8544i | 0.228272 | + | 0.448009i | 0.976525 | − | 0.215405i | \(-0.0691071\pi\) |
−0.748253 | + | 0.663413i | \(0.769107\pi\) | |||||||
\(588\) | −20.3528 | − | 6.60728i | −0.839336 | − | 0.272480i | ||||
\(589\) | 0.848936 | − | 0.275836i | 0.0349798 | − | 0.0113656i | ||||
\(590\) | −0.488695 | − | 0.254073i | −0.0201192 | − | 0.0104600i | ||||
\(591\) | 38.7050 | − | 34.8501i | 1.59211 | − | 1.43354i | ||||
\(592\) | −6.26469 | − | 2.40479i | −0.257477 | − | 0.0988362i | ||||
\(593\) | −5.75696 | + | 21.4853i | −0.236410 | + | 0.882294i | 0.741098 | + | 0.671396i | \(0.234305\pi\) |
−0.977508 | + | 0.210897i | \(0.932361\pi\) | |||||||
\(594\) | 27.3540 | + | 19.8738i | 1.12235 | + | 0.815434i | ||||
\(595\) | −11.0116 | + | 12.6841i | −0.451433 | + | 0.519998i | ||||
\(596\) | −7.99733 | + | 5.81040i | −0.327584 | + | 0.238003i | ||||
\(597\) | 12.4712 | + | 32.4886i | 0.510413 | + | 1.32967i | ||||
\(598\) | −0.000845037 | − | 0.00130124i | −3.45561e−5 | − | 5.32118e-5i | ||||
\(599\) | −19.7614 | − | 11.4092i | −0.807429 | − | 0.466169i | 0.0386334 | − | 0.999253i | \(-0.487700\pi\) |
−0.846062 | + | 0.533084i | \(0.821033\pi\) | |||||||
\(600\) | −1.34808 | − | 15.2250i | −0.0550352 | − | 0.621560i | ||||
\(601\) | − | 44.8690i | − | 1.83025i | −0.403175 | − | 0.915123i | \(-0.632093\pi\) | ||
0.403175 | − | 0.915123i | \(-0.367907\pi\) | |||||||
\(602\) | −18.7522 | + | 3.47799i | −0.764282 | + | 0.141752i | ||||
\(603\) | −11.0623 | + | 69.8448i | −0.450493 | + | 2.84430i | ||||
\(604\) | 1.68657 | − | 3.78810i | 0.0686255 | − | 0.154135i | ||||
\(605\) | −0.143996 | − | 0.0163299i | −0.00585428 | − | 0.000663906i | ||||
\(606\) | 29.8653 | − | 13.2969i | 1.21319 | − | 0.540148i | ||||
\(607\) | −0.0593539 | − | 0.0159038i | −0.00240910 | − | 0.000645516i | 0.257614 | − | 0.966248i | \(-0.417064\pi\) |
−0.260023 | + | 0.965602i | \(0.583730\pi\) | |||||||
\(608\) | 0.863842 | + | 5.45408i | 0.0350334 | + | 0.221192i | ||||
\(609\) | −34.4923 | − | 29.4516i | −1.39770 | − | 1.19344i | ||||
\(610\) | 29.4136 | + | 11.5685i | 1.19092 | + | 0.468396i | ||||
\(611\) | −14.5691 | + | 16.1806i | −0.589402 | + | 0.654597i | ||||
\(612\) | −17.9895 | − | 0.942792i | −0.727184 | − | 0.0381101i | ||||
\(613\) | −18.2191 | − | 0.954820i | −0.735861 | − | 0.0385648i | −0.319276 | − | 0.947662i | \(-0.603440\pi\) |
−0.416585 | + | 0.909097i | \(0.636773\pi\) | |||||||
\(614\) | 7.61038 | − | 8.45218i | 0.307130 | − | 0.341102i | ||||
\(615\) | −44.2492 | + | 53.7359i | −1.78430 | + | 2.16684i | ||||
\(616\) | −6.65358 | − | 5.68122i | −0.268080 | − | 0.228903i | ||||
\(617\) | −3.44642 | − | 21.7598i | −0.138748 | − | 0.876018i | −0.954629 | − | 0.297798i | \(-0.903748\pi\) |
0.815881 | − | 0.578219i | \(-0.196252\pi\) | |||||||
\(618\) | −18.3274 | − | 4.91081i | −0.737236 | − | 0.197542i | ||||
\(619\) | −33.1133 | + | 14.7430i | −1.33094 | + | 0.592570i | −0.944125 | − | 0.329589i | \(-0.893090\pi\) |
−0.386810 | + | 0.922159i | \(0.626423\pi\) | |||||||
\(620\) | 0.266619 | + | 0.244055i | 0.0107077 | + | 0.00980147i | ||||
\(621\) | 0.00277846 | − | 0.00624051i | 0.000111496 | − | 0.000250423i | ||||
\(622\) | −0.893909 | + | 5.64392i | −0.0358425 | + | 0.226300i | ||||
\(623\) | 28.5554 | − | 5.29621i | 1.14405 | − | 0.212188i | ||||
\(624\) | − | 7.09922i | − | 0.284196i | ||||||
\(625\) | 8.50129 | − | 23.5102i | 0.340052 | − | 0.940407i | ||||
\(626\) | −6.26973 | − | 3.61983i | −0.250589 | − | 0.144678i | ||||
\(627\) | −30.4024 | − | 46.8156i | −1.21415 | − | 1.86963i | ||||
\(628\) | 8.09677 | + | 21.0928i | 0.323096 | + | 0.841695i | ||||
\(629\) | −15.4136 | + | 11.1987i | −0.614582 | + | 0.446520i | ||||
\(630\) | 3.24713 | − | 37.3954i | 0.129369 | − | 1.48987i | ||||
\(631\) | 5.81462 | + | 4.22457i | 0.231476 | + | 0.168177i | 0.697477 | − | 0.716607i | \(-0.254306\pi\) |
−0.466001 | + | 0.884784i | \(0.654306\pi\) | |||||||
\(632\) | 3.58414 | − | 13.3762i | 0.142569 | − | 0.532077i | ||||
\(633\) | −3.26076 | − | 1.25169i | −0.129603 | − | 0.0497501i | ||||
\(634\) | 16.9435 | − | 15.2560i | 0.672913 | − | 0.605894i | ||||
\(635\) | 4.29419 | − | 25.7439i | 0.170410 | − | 1.02161i | ||||
\(636\) | −10.0899 | + | 3.27840i | −0.400089 | + | 0.129997i | ||||
\(637\) | −10.8807 | − | 12.0781i | −0.431111 | − | 0.478551i | ||||
\(638\) | −8.41892 | − | 16.5231i | −0.333308 | − | 0.654154i | ||||
\(639\) | 1.74595 | + | 1.57206i | 0.0690686 | + | 0.0621897i | ||||
\(640\) | −1.74924 | + | 1.39290i | −0.0691446 | + | 0.0550592i | ||||
\(641\) | 7.56118 | + | 8.39754i | 0.298649 | + | 0.331683i | 0.873728 | − | 0.486415i | \(-0.161696\pi\) |
−0.575079 | + | 0.818098i | \(0.695029\pi\) | |||||||
\(642\) | 1.22700 | + | 1.51521i | 0.0484257 | + | 0.0598007i | ||||
\(643\) | 12.2499 | + | 12.2499i | 0.483089 | + | 0.483089i | 0.906117 | − | 0.423028i | \(-0.139033\pi\) |
−0.423028 | + | 0.906117i | \(0.639033\pi\) | |||||||
\(644\) | −0.000843238 | 0.00155352i | −3.32282e−5 | 6.12174e-5i | ||||||
\(645\) | −19.6715 | − | 45.1768i | −0.774566 | − | 1.77883i | ||||
\(646\) | 14.3229 | + | 6.37698i | 0.563528 | + | 0.250899i | ||||
\(647\) | 17.0140 | + | 13.7777i | 0.668890 | + | 0.541656i | 0.902509 | − | 0.430672i | \(-0.141723\pi\) |
−0.233619 | + | 0.972328i | \(0.575057\pi\) | |||||||
\(648\) | 10.2500 | − | 6.65644i | 0.402659 | − | 0.261490i | ||||
\(649\) | −0.407276 | − | 0.705422i | −0.0159870 | − | 0.0276903i | ||||
\(650\) | 4.89630 | − | 10.5289i | 0.192049 | − | 0.412978i | ||||
\(651\) | 0.796012 | + | 1.03711i | 0.0311982 | + | 0.0406475i | ||||
\(652\) | 4.76189 | − | 9.34573i | 0.186490 | − | 0.366007i | ||||
\(653\) | 12.3772 | − | 4.75116i | 0.484357 | − | 0.185927i | −0.103922 | − | 0.994585i | \(-0.533139\pi\) |
0.588279 | + | 0.808658i | \(0.299806\pi\) | |||||||
\(654\) | 1.14091 | + | 10.8550i | 0.0446129 | + | 0.424464i | ||||
\(655\) | −39.4929 | + | 8.05645i | −1.54312 | + | 0.314792i | ||||
\(656\) | 10.1278 | + | 1.06448i | 0.395425 | + | 0.0415608i | ||||
\(657\) | −73.8104 | + | 73.8104i | −2.87962 | + | 2.87962i | ||||
\(658\) | 24.1206 | + | 5.78759i | 0.940320 | + | 0.225624i | ||||
\(659\) | 4.22188 | + | 1.37177i | 0.164461 | + | 0.0534366i | 0.390090 | − | 0.920777i | \(-0.372444\pi\) |
−0.225629 | + | 0.974213i | \(0.572444\pi\) | |||||||
\(660\) | 10.4268 | − | 20.0553i | 0.405863 | − | 0.780652i | ||||
\(661\) | 1.44995 | − | 6.82150i | 0.0563967 | − | 0.265326i | −0.940911 | − | 0.338653i | \(-0.890029\pi\) |
0.997308 | + | 0.0733278i | \(0.0233619\pi\) | |||||||
\(662\) | −1.05001 | + | 20.0354i | −0.0408098 | + | 0.778697i | ||||
\(663\) | −16.9045 | − | 10.9779i | −0.656516 | − | 0.426347i | ||||
\(664\) | 4.27188 | + | 13.1475i | 0.165781 | + | 0.510222i | ||||
\(665\) | −14.3020 | + | 29.3720i | −0.554608 | + | 1.13900i | ||||
\(666\) | 13.1567 | − | 40.4920i | 0.509810 | − | 1.56903i | ||||
\(667\) | −0.00291165 | + | 0.00235781i | −0.000112740 | + | 9.12947e-5i | ||||
\(668\) | 20.9772 | − | 5.62083i | 0.811633 | − | 0.217476i | ||||
\(669\) | −2.83868 | − | 6.37577i | −0.109750 | − | 0.246502i | ||||
\(670\) | 24.9212 | + | 0.204437i | 0.962790 | + | 0.00789809i | ||||
\(671\) | 27.4743 | + | 37.8152i | 1.06063 | + | 1.45984i | ||||
\(672\) | −7.10725 | + | 3.86010i | −0.274168 | + | 0.148907i | ||||
\(673\) | 27.8246 | + | 14.1774i | 1.07256 | + | 0.546497i | 0.898831 | − | 0.438296i | \(-0.144418\pi\) |
0.173730 | + | 0.984793i | \(0.444418\pi\) | |||||||
\(674\) | 28.2667 | − | 16.3198i | 1.08879 | − | 0.628616i | ||||
\(675\) | 50.6184 | − | 7.16801i | 1.94830 | − | 0.275897i | ||||
\(676\) | −3.80336 | + | 6.58761i | −0.146283 | + | 0.253370i | ||||
\(677\) | 0.567426 | + | 10.8271i | 0.0218080 | + | 0.416121i | 0.987619 | + | 0.156873i | \(0.0501413\pi\) |
−0.965811 | + | 0.259248i | \(0.916525\pi\) | |||||||
\(678\) | −0.141959 | − | 0.0224841i | −0.00545189 | − | 0.000863495i | ||||
\(679\) | 12.3213 | − | 11.6955i | 0.472848 | − | 0.448831i | ||||
\(680\) | 0.611804 | + | 6.31916i | 0.0234616 | + | 0.242329i | ||||
\(681\) | −0.264190 | + | 2.51360i | −0.0101238 | + | 0.0963215i | ||||
\(682\) | 0.138349 | + | 0.516326i | 0.00529766 | + | 0.0197711i | ||||
\(683\) | 3.04705 | − | 7.93782i | 0.116592 | − | 0.303732i | −0.862850 | − | 0.505461i | \(-0.831323\pi\) |
0.979441 | + | 0.201728i | \(0.0646558\pi\) | |||||||
\(684\) | −34.2706 | + | 7.28444i | −1.31037 | + | 0.278528i | ||||
\(685\) | −0.781259 | − | 3.01439i | −0.0298504 | − | 0.115174i | ||||
\(686\) | −6.17549 | + | 17.4603i | −0.235781 | + | 0.666639i | ||||
\(687\) | 21.7356 | − | 11.0749i | 0.829266 | − | 0.422532i | ||||
\(688\) | −3.92605 | + | 6.04559i | −0.149679 | + | 0.230486i | ||||
\(689\) | −7.88362 | − | 1.67571i | −0.300342 | − | 0.0638396i | ||||
\(690\) | −0.00440132 | − | 0.00121811i | −0.000167555 | − | 4.63728e-5i | ||||
\(691\) | −4.32406 | − | 20.3431i | −0.164495 | − | 0.773888i | −0.980606 | − | 0.195992i | \(-0.937207\pi\) |
0.816111 | − | 0.577896i | \(-0.196126\pi\) | |||||||
\(692\) | 10.5966 | − | 1.67834i | 0.402823 | − | 0.0638008i | ||||
\(693\) | 33.7872 | − | 44.0440i | 1.28347 | − | 1.67309i | ||||
\(694\) | 3.57025 | − | 4.91403i | 0.135525 | − | 0.186534i | ||||
\(695\) | 4.81548 | + | 6.74358i | 0.182662 | + | 0.255799i | ||||
\(696\) | −17.0488 | + | 1.79191i | −0.646235 | + | 0.0679220i | ||||
\(697\) | 18.1959 | − | 22.4701i | 0.689219 | − | 0.851114i | ||||
\(698\) | 2.67195 | − | 0.140031i | 0.101135 | − | 0.00530025i | ||||
\(699\) | 65.3607 | 2.47217 | ||||||||
\(700\) | −13.2031 | + | 0.823109i | −0.499031 | + | 0.0311106i | ||||
\(701\) | −51.8642 | −1.95889 | −0.979443 | − | 0.201723i | \(-0.935346\pi\) | ||||
−0.979443 | + | 0.201723i | \(0.935346\pi\) | |||||||
\(702\) | 23.7127 | − | 1.24273i | 0.894978 | − | 0.0469038i | ||||
\(703\) | −23.3196 | + | 28.7973i | −0.879515 | + | 1.08611i | ||||
\(704\) | −3.28872 | + | 0.345659i | −0.123948 | + | 0.0130275i | ||||
\(705\) | −0.525702 | + | 64.0839i | −0.0197991 | + | 2.41354i | ||||
\(706\) | 9.91066 | − | 13.6408i | 0.372993 | − | 0.513380i | ||||
\(707\) | −10.8312 | − | 26.1393i | −0.407347 | − | 0.983068i | ||||
\(708\) | −0.743720 | + | 0.117794i | −0.0279507 | + | 0.00442696i | ||||
\(709\) | 4.89175 | + | 23.0139i | 0.183714 | + | 0.864305i | 0.969363 | + | 0.245633i | \(0.0789957\pi\) |
−0.785649 | + | 0.618672i | \(0.787671\pi\) | |||||||
\(710\) | 0.456639 | − | 0.690692i | 0.0171374 | − | 0.0259212i | ||||
\(711\) | 85.9427 | + | 18.2677i | 3.22310 | + | 0.685092i | ||||
\(712\) | 5.97850 | − | 9.20608i | 0.224054 | − | 0.345012i | ||||
\(713\) | 9.62250e−5 | 0 | 4.90291e-5i | 3.60366e−6 | 0 | 1.83615e-6i | ||||
\(714\) | −1.79875 | + | 22.8927i | −0.0673164 | + | 0.856737i | ||||
\(715\) | 14.4780 | − | 9.23417i | 0.541447 | − | 0.345338i | ||||
\(716\) | 19.0512 | − | 4.04946i | 0.711978 | − | 0.151336i | ||||
\(717\) | 6.22363 | − | 16.2131i | 0.232426 | − | 0.605490i | ||||
\(718\) | −1.37612 | − | 5.13575i | −0.0513563 | − | 0.191664i | ||||
\(719\) | 1.89177 | − | 17.9990i | 0.0705511 | − | 0.671249i | −0.900903 | − | 0.434021i | \(-0.857094\pi\) |
0.971454 | − | 0.237228i | \(-0.0762389\pi\) | |||||||
\(720\) | −9.40637 | − | 10.6208i | −0.350555 | − | 0.395812i | ||||
\(721\) | −4.66204 | + | 15.7462i | −0.173623 | + | 0.586418i | ||||
\(722\) | 11.3517 | + | 1.79794i | 0.422468 | + | 0.0669123i | ||||
\(723\) | 1.89625 | + | 36.1826i | 0.0705222 | + | 1.34564i | ||||
\(724\) | 4.34391 | − | 7.52387i | 0.161440 | − | 0.279622i | ||||
\(725\) | −26.5212 | − | 9.10092i | −0.984971 | − | 0.338000i | ||||
\(726\) | −0.171576 | + | 0.0990593i | −0.00636777 | + | 0.00367643i | ||||
\(727\) | 46.9251 | + | 23.9095i | 1.74035 | + | 0.886755i | 0.967767 | + | 0.251846i | \(0.0810378\pi\) |
0.772587 | + | 0.634908i | \(0.218962\pi\) | |||||||
\(728\) | −6.14226 | − | 0.160054i | −0.227647 | − | 0.00593201i | ||||
\(729\) | −9.53622 | − | 13.1255i | −0.353193 | − | 0.486129i | ||||
\(730\) | 29.5835 | + | 21.8666i | 1.09493 | + | 0.809321i | ||||
\(731\) | 8.32454 | + | 18.6972i | 0.307894 | + | 0.691542i | ||||
\(732\) | 41.7372 | − | 11.1834i | 1.54265 | − | 0.413352i | ||||
\(733\) | 2.90955 | − | 2.35611i | 0.107467 | − | 0.0870247i | −0.574081 | − | 0.818798i | \(-0.694641\pi\) |
0.681548 | + | 0.731774i | \(0.261307\pi\) | |||||||
\(734\) | 7.51866 | − | 23.1401i | 0.277519 | − | 0.854115i | ||||
\(735\) | −47.5450 | − | 5.37954i | −1.75372 | − | 0.198427i | ||||
\(736\) | 0.000206454 | 0 | 0.000635399i | 7.60999e−6 | 0 | 2.34211e-5i | ||||
\(737\) | 30.9103 | + | 20.0734i | 1.13860 | + | 0.739413i | ||||
\(738\) | −3.38156 | + | 64.5241i | −0.124477 | + | 2.37516i | ||||
\(739\) | 6.46826 | − | 30.4308i | 0.237939 | − | 1.11941i | −0.683215 | − | 0.730217i | \(-0.739419\pi\) |
0.921154 | − | 0.389197i | \(-0.127248\pi\) | |||||||
\(740\) | −14.8004 | − | 2.46877i | −0.544073 | − | 0.0907539i | ||||
\(741\) | −37.2837 | − | 12.1142i | −1.36965 | − | 0.445026i | ||||
\(742\) | 2.60899 | + | 8.80368i | 0.0957792 | + | 0.323193i | ||||
\(743\) | −1.15902 | + | 1.15902i | −0.0425202 | + | 0.0425202i | −0.728047 | − | 0.685527i | \(-0.759572\pi\) |
0.685527 | + | 0.728047i | \(0.259572\pi\) | |||||||
\(744\) | 0.491434 | + | 0.0516518i | 0.0180169 | + | 0.00189365i | ||||
\(745\) | −14.9248 | + | 16.3047i | −0.546801 | + | 0.597356i | ||||
\(746\) | 2.06077 | + | 19.6069i | 0.0754502 | + | 0.717861i | ||||
\(747\) | −81.8850 | + | 31.4327i | −2.99602 | + | 1.15006i | ||||
\(748\) | −4.26246 | + | 8.36554i | −0.155851 | + | 0.305875i | ||||
\(749\) | 1.33863 | − | 1.02744i | 0.0489124 | − | 0.0375418i | ||||
\(750\) | −9.75836 | − | 32.7547i | −0.356325 | − | 1.19603i | ||||
\(751\) | 13.3236 | + | 23.0771i | 0.486184 | + | 0.842096i | 0.999874 | − | 0.0158803i | \(-0.00505507\pi\) |
−0.513690 | + | 0.857976i | \(0.671722\pi\) | |||||||
\(752\) | 7.86296 | − | 5.10627i | 0.286733 | − | 0.186206i | ||||
\(753\) | −29.7357 | − | 24.0795i | −1.08363 | − | 0.877506i | ||||
\(754\) | −11.8974 | − | 5.29707i | −0.433278 | − | 0.192908i | ||||
\(755\) | 2.00210 | − | 9.05332i | 0.0728639 | − | 0.329484i | ||||
\(756\) | −14.1376 | − | 23.0638i | −0.514178 | − | 0.838822i | ||||
\(757\) | 8.99113 | + | 8.99113i | 0.326788 | + | 0.326788i | 0.851364 | − | 0.524576i | \(-0.175776\pi\) |
−0.524576 | + | 0.851364i | \(0.675776\pi\) | |||||||
\(758\) | 4.07040 | + | 5.02653i | 0.147844 | + | 0.182572i | ||||
\(759\) | −0.00451907 | − | 0.00501893i | −0.000164032 | − | 0.000182176i | ||||
\(760\) | 4.33032 | + | 11.5635i | 0.157077 | + | 0.419452i | ||||
\(761\) | −12.7269 | − | 11.4594i | −0.461351 | − | 0.415402i | 0.405403 | − | 0.914138i | \(-0.367131\pi\) |
−0.866754 | + | 0.498736i | \(0.833798\pi\) | |||||||
\(762\) | −16.1987 | − | 31.7917i | −0.586815 | − | 1.15169i | ||||
\(763\) | 9.41748 | − | 0.742384i | 0.340936 | − | 0.0268761i | ||||
\(764\) | 2.18871 | − | 0.711153i | 0.0791846 | − | 0.0257286i | ||||
\(765\) | −39.8355 | + | 5.97477i | −1.44025 | + | 0.216018i | ||||
\(766\) | −10.5324 | + | 9.48342i | −0.380551 | + | 0.342650i | ||||
\(767\) | −0.534052 | − | 0.205003i | −0.0192835 | − | 0.00740224i | ||||
\(768\) | −0.791189 | + | 2.95276i | −0.0285496 | + | 0.106549i | ||||
\(769\) | −8.66637 | − | 6.29649i | −0.312517 | − | 0.227057i | 0.420459 | − | 0.907312i | \(-0.361869\pi\) |
−0.732976 | + | 0.680255i | \(0.761869\pi\) | |||||||
\(770\) | −17.1168 | − | 9.47344i | −0.616847 | − | 0.341399i | ||||
\(771\) | 15.5504 | − | 11.2980i | 0.560034 | − | 0.406889i | ||||
\(772\) | 0.683275 | + | 1.77999i | 0.0245916 | + | 0.0640633i | ||||
\(773\) | 8.77769 | + | 13.5165i | 0.315712 | + | 0.486153i | 0.960528 | − | 0.278185i | \(-0.0897327\pi\) |
−0.644816 | + | 0.764338i | \(0.723066\pi\) | |||||||
\(774\) | −39.6089 | − | 22.8682i | −1.42371 | − | 0.821982i | ||||
\(775\) | 0.693227 | + | 0.415545i | 0.0249014 | + | 0.0149268i | ||||
\(776\) | − | 6.42094i | − | 0.230498i | ||||||
\(777\) | −51.1619 | − | 18.1100i | −1.83542 | − | 0.649694i | ||||
\(778\) | −0.405568 | + | 2.56065i | −0.0145403 | + | 0.0918039i | ||||
\(779\) | 22.8727 | − | 51.3728i | 0.819498 | − | 1.84062i | ||||
\(780\) | −3.17298 | − | 15.5540i | −0.113611 | − | 0.556922i | ||||
\(781\) | 1.11863 | − | 0.498045i | 0.0400277 | − | 0.0178215i | ||||
\(782\) | 0.00183225 | 0.000490949i | 6.55211e−5 | 1.75563e-5i | ||||||
\(783\) | −8.96971 | − | 56.6325i | −0.320551 | − | 2.02388i | ||||
\(784\) | 3.17953 | + | 6.23623i | 0.113555 | + | 0.222723i | ||||
\(785\) | 27.1669 | + | 42.5943i | 0.969630 | + | 1.52026i | ||||
\(786\) | −36.8708 | + | 40.9492i | −1.31514 | + | 1.46061i | ||||
\(787\) | 5.17140 | + | 0.271022i | 0.184341 | + | 0.00966088i | 0.144283 | − | 0.989536i | \(-0.453912\pi\) |
0.0400577 | + | 0.999197i | \(0.487246\pi\) | |||||||
\(788\) | −17.0143 | − | 0.891681i | −0.606109 | − | 0.0317648i | ||||
\(789\) | −38.2095 | + | 42.4360i | −1.36030 | + | 1.51076i | ||||
\(790\) | 1.87420 | − | 30.9084i | 0.0666811 | − | 1.09967i | ||||
\(791\) | −0.0226538 | + | 0.122316i | −0.000805475 | + | 0.00434906i | ||||
\(792\) | −3.28217 | − | 20.7228i | −0.116627 | − | 0.736353i | ||||
\(793\) | 31.7077 | + | 8.49606i | 1.12597 | + | 0.301704i | ||||
\(794\) | −36.2068 | + | 16.1203i | −1.28493 | + | 0.572089i | ||||
\(795\) | −20.6411 | + | 11.6924i | −0.732063 | + | 0.414687i | ||||
\(796\) | 4.63029 | − | 10.3998i | 0.164116 | − | 0.368612i | ||||
\(797\) | −5.37923 | + | 33.9631i | −0.190542 | + | 1.20304i | 0.688122 | + | 0.725595i | \(0.258435\pi\) |
−0.878664 | + | 0.477441i | \(0.841565\pi\) | |||||||
\(798\) | 8.14456 | + | 43.9128i | 0.288314 | + | 1.55450i | ||||
\(799\) | − | 26.6192i | − | 0.941719i | ||||||
\(800\) | −3.20993 | + | 3.83359i | −0.113488 | + | 0.135538i | ||||
\(801\) | 60.3156 | + | 34.8232i | 2.13115 | + | 1.23042i | ||||
\(802\) | 1.11202 | + | 1.71235i | 0.0392666 | + | 0.0604653i | ||||
\(803\) | 19.4966 | + | 50.7904i | 0.688021 | + | 1.79236i | ||||
\(804\) | 27.5639 | − | 20.0263i | 0.972104 | − | 0.706275i | ||||
\(805\) | −0.00115314 | + | 0.00378057i | −4.06430e−5 | + | 0.000133248i | ||||
\(806\) | 0.303704 | + | 0.220654i | 0.0106975 | + | 0.00777221i | ||||
\(807\) | −7.69764 | + | 28.7280i | −0.270970 | + | 1.01127i | ||||
\(808\) | −9.98398 | − | 3.83249i | −0.351235 | − | 0.134827i | ||||
\(809\) | −16.3636 | + | 14.7339i | −0.575314 | + | 0.518015i | −0.904626 | − | 0.426206i | \(-0.859850\pi\) |
0.329312 | + | 0.944221i | \(0.393183\pi\) | |||||||
\(810\) | 19.4822 | − | 19.1651i | 0.684533 | − | 0.673394i | ||||
\(811\) | −9.79798 | + | 3.18356i | −0.344054 | + | 0.111790i | −0.475947 | − | 0.879474i | \(-0.657894\pi\) |
0.131893 | + | 0.991264i | \(0.457894\pi\) | |||||||
\(812\) | 1.16599 | + | 14.7911i | 0.0409181 | + | 0.519065i | ||||
\(813\) | 7.89095 | + | 15.4869i | 0.276748 | + | 0.543148i | ||||
\(814\) | −16.4905 | − | 14.8481i | −0.577992 | − | 0.520426i | ||||
\(815\) | 6.25598 | − | 22.6043i | 0.219137 | − | 0.791794i | ||||
\(816\) | 5.80758 | + | 6.44997i | 0.203306 | + | 0.225794i | ||||
\(817\) | 25.0507 | + | 30.9351i | 0.876414 | + | 1.08228i | ||||
\(818\) | −23.8349 | − | 23.8349i | −0.833366 | − | 0.833366i | ||||
\(819\) | −1.02548 | − | 38.9709i | −0.0358331 | − | 1.36175i | ||||
\(820\) | 22.6653 | − | 2.19439i | 0.791505 | − | 0.0766315i | ||||
\(821\) | 1.27985 | + | 0.569824i | 0.0446669 | + | 0.0198870i | 0.428949 | − | 0.903329i | \(-0.358884\pi\) |
−0.384282 | + | 0.923216i | \(0.625551\pi\) | |||||||
\(822\) | −3.30841 | − | 2.67910i | −0.115394 | − | 0.0934442i | ||||
\(823\) | −30.7248 | + | 19.9529i | −1.07100 | + | 0.695515i | −0.954661 | − | 0.297695i | \(-0.903782\pi\) |
−0.116338 | + | 0.993210i | \(0.537116\pi\) | |||||||
\(824\) | 3.10343 | + | 5.37531i | 0.108113 | + | 0.187258i | ||||
\(825\) | 13.8809 | − | 48.6003i | 0.483270 | − | 1.69205i | ||||
\(826\) | 0.0851479 | + | 0.646124i | 0.00296267 | + | 0.0224815i | ||||
\(827\) | −6.78197 | + | 13.3104i | −0.235832 | + | 0.462847i | −0.978344 | − | 0.206987i | \(-0.933634\pi\) |
0.742512 | + | 0.669833i | \(0.233634\pi\) | |||||||
\(828\) | −0.00395738 | + | 0.00151910i | −0.000137528 | + | 5.27922e-5i | ||||
\(829\) | 5.22913 | + | 49.7518i | 0.181615 | + | 1.72795i | 0.583371 | + | 0.812206i | \(0.301733\pi\) |
−0.401756 | + | 0.915747i | \(0.631600\pi\) | |||||||
\(830\) | 15.2357 | + | 26.8961i | 0.528839 | + | 0.933579i | ||||
\(831\) | 5.26345 | + | 0.553211i | 0.182587 | + | 0.0191907i | ||||
\(832\) | −1.64214 | + | 1.64214i | −0.0569311 | + | 0.0569311i | ||||
\(833\) | 19.7662 | + | 2.07240i | 0.684860 | + | 0.0718045i | ||||
\(834\) | 10.7739 | + | 3.50065i | 0.373069 | + | 0.121218i | ||||
\(835\) | 43.4477 | − | 21.6906i | 1.50357 | − | 0.750635i | ||||
\(836\) | −3.79659 | + | 17.8616i | −0.131308 | + | 0.617755i | ||||
\(837\) | −0.0865001 | + | 1.65052i | −0.00298988 | + | 0.0570504i | ||||
\(838\) | 11.6818 | + | 7.58625i | 0.403541 | + | 0.262063i | ||||
\(839\) | 0.290748 | + | 0.894830i | 0.0100377 | + | 0.0308930i | 0.955950 | − | 0.293530i | \(-0.0948300\pi\) |
−0.945912 | + | 0.324423i | \(0.894830\pi\) | |||||||
\(840\) | −13.8463 | + | 11.6338i | −0.477744 | + | 0.401405i | ||||
\(841\) | −0.756461 | + | 2.32815i | −0.0260849 | + | 0.0802810i | ||||
\(842\) | 1.28085 | − | 1.03721i | 0.0441410 | − | 0.0357447i | ||||
\(843\) | −33.2918 | + | 8.92051i | −1.14663 | + | 0.307239i | ||||
\(844\) | 0.464725 | + | 1.04379i | 0.0159965 | + | 0.0359287i | ||||
\(845\) | −5.38864 | + | 16.1330i | −0.185375 | + | 0.554992i | ||||
\(846\) | 34.9646 | + | 48.1247i | 1.20211 | + | 1.65456i | ||||
\(847\) | 0.0818380 | + | 0.150681i | 0.00281199 | + | 0.00517746i | ||||
\(848\) | 3.09226 | + | 1.57558i | 0.106189 | + | 0.0541058i | ||||
\(849\) | −69.0344 | + | 39.8570i | −2.36925 | + | 1.36789i | ||||
\(850\) | 4.16476 | + | 13.5715i | 0.142850 | + | 0.465498i | ||||
\(851\) | −0.00224160 | + | 0.00388256i | −7.68410e−5 | + | 0.000133093i | ||||
\(852\) | −0.0592416 | − | 1.13040i | −0.00202958 | − | 0.0387268i | ||||
\(853\) | 9.21228 | + | 1.45908i | 0.315422 | + | 0.0499580i | 0.312139 | − | 0.950037i | \(-0.398955\pi\) |
0.00328391 | + | 0.999995i | \(0.498955\pi\) | |||||||
\(854\) | −8.73496 | − | 36.3632i | −0.298904 | − | 1.24432i | ||||
\(855\) | −71.8292 | + | 31.2770i | −2.45651 | + | 1.06965i | ||||
\(856\) | 0.0666687 | − | 0.634310i | 0.00227869 | − | 0.0216803i | ||||
\(857\) | −14.0946 | − | 52.6016i | −0.481461 | − | 1.79684i | −0.595493 | − | 0.803360i | \(-0.703043\pi\) |
0.114032 | − | 0.993477i | \(-0.463623\pi\) | |||||||
\(858\) | 8.41304 | − | 21.9167i | 0.287216 | − | 0.748224i | ||||
\(859\) | −3.35086 | + | 0.712247i | −0.114330 | + | 0.0243016i | −0.264721 | − | 0.964325i | \(-0.585280\pi\) |
0.150391 | + | 0.988627i | \(0.451947\pi\) | |||||||
\(860\) | −5.89970 | + | 15.0003i | −0.201178 | + | 0.511505i | ||||
\(861\) | 82.1104 | + | 6.45166i | 2.79832 | + | 0.219872i | ||||
\(862\) | −24.4849 | + | 12.4757i | −0.833959 | + | 0.424923i | ||||
\(863\) | −10.2222 | + | 15.7409i | −0.347969 | + | 0.535826i | −0.968712 | − | 0.248189i | \(-0.920165\pi\) |
0.620742 | + | 0.784015i | \(0.286831\pi\) | |||||||
\(864\) | −10.0013 | − | 2.12583i | −0.340249 | − | 0.0723223i | ||||
\(865\) | 22.4665 | − | 8.41327i | 0.763882 | − | 0.286060i | ||||
\(866\) | −1.03839 | − | 4.88526i | −0.0352861 | − | 0.166008i | ||||
\(867\) | −26.9888 | + | 4.27460i | −0.916586 | + | 0.145173i | ||||
\(868\) | 0.0557688 | − | 0.424025i | 0.00189292 | − | 0.0143924i | ||||
\(869\) | 26.9166 | − | 37.0476i | 0.913084 | − | 1.25675i | ||||
\(870\) | −36.5522 | + | 11.5459i | −1.23923 | + | 0.391443i | ||||
\(871\) | 25.7418 | − | 2.70558i | 0.872229 | − | 0.0916749i | ||||
\(872\) | 2.24700 | − | 2.77481i | 0.0760929 | − | 0.0939669i | ||||
\(873\) | 40.6835 | − | 2.13213i | 1.37693 | − | 0.0721617i | ||||
\(874\) | 0.00368928 | 0.000124792 | ||||||||
\(875\) | −28.5594 | + | 7.70449i | −0.965485 | + | 0.260459i | ||||
\(876\) | 50.2923 | 1.69922 | ||||||||
\(877\) | −19.4423 | + | 1.01893i | −0.656520 | + | 0.0344067i | −0.377688 | − | 0.925933i | \(-0.623281\pi\) |
−0.278832 | + | 0.960340i | \(0.589947\pi\) | |||||||
\(878\) | 3.72086 | − | 4.59488i | 0.125573 | − | 0.155070i | ||||
\(879\) | −59.2720 | + | 6.22973i | −1.99919 | + | 0.210124i | ||||
\(880\) | −7.05092 | + | 2.22721i | −0.237687 | + | 0.0750791i | ||||
\(881\) | −28.7993 | + | 39.6388i | −0.970273 | + | 1.33547i | −0.0283647 | + | 0.999598i | \(0.509030\pi\) |
−0.941909 | + | 0.335869i | \(0.890970\pi\) | |||||||
\(882\) | −38.4574 | + | 22.2165i | −1.29493 | + | 0.748069i | ||||
\(883\) | −32.7954 | + | 5.19429i | −1.10365 | + | 0.174802i | −0.681569 | − | 0.731754i | \(-0.738702\pi\) |
−0.422086 | + | 0.906556i | \(0.638702\pi\) | |||||||
\(884\) | 1.37090 | + | 6.44957i | 0.0461083 | + | 0.216923i | ||||
\(885\) | −1.57680 | + | 0.590483i | −0.0530036 | + | 0.0198489i | ||||
\(886\) | −4.82713 | − | 1.02604i | −0.162171 | − | 0.0344704i | ||||
\(887\) | 2.72052 | − | 4.18923i | 0.0913461 | − | 0.140661i | −0.790043 | − | 0.613051i | \(-0.789942\pi\) |
0.881389 | + | 0.472390i | \(0.156609\pi\) | |||||||
\(888\) | −18.2773 | + | 9.31276i | −0.613347 | + | 0.312516i | ||||
\(889\) | −27.8714 | + | 13.2984i | −0.934777 | + | 0.446012i | ||||
\(890\) | 8.98392 | − | 22.8421i | 0.301142 | − | 0.765668i | ||||
\(891\) | 39.5322 | − | 8.40283i | 1.32438 | − | 0.281505i | ||||
\(892\) | −0.818178 | + | 2.13143i | −0.0273946 | + | 0.0713654i | ||||
\(893\) | −13.3996 | − | 50.0081i | −0.448401 | − | 1.67346i | ||||
\(894\) | −3.15869 | + | 30.0529i | −0.105642 | + | 1.00512i | ||||
\(895\) | 39.9303 | − | 17.3870i | 1.33472 | − | 0.581185i | ||||
\(896\) | 2.53689 | + | 0.751109i | 0.0847517 | + | 0.0250928i | ||||
\(897\) | −0.00468458 | 0.000741965i | −0.000156414 | 2.47735e-5i | ||||||
\(898\) | 1.03373 | + | 19.7247i | 0.0344960 | + | 0.658223i | ||||
\(899\) | 0.453245 | − | 0.785043i | 0.0151166 | − | 0.0261827i | ||||
\(900\) | −25.3558 | − | 19.0653i | −0.845192 | − | 0.635511i | ||||
\(901\) | 8.53347 | − | 4.92680i | 0.284291 | − | 0.164135i | ||||
\(902\) | 30.0051 | + | 15.2884i | 0.999062 | + | 0.509048i | ||||
\(903\) | −30.4561 | + | 49.7141i | −1.01352 | + | 1.65438i | ||||
\(904\) | 0.0276361 | + | 0.0380378i | 0.000919163 | + | 0.00126512i | ||||
\(905\) | 6.15449 | − | 18.4259i | 0.204582 | − | 0.612497i | ||||
\(906\) | −5.15571 | − | 11.5799i | −0.171287 | − | 0.384717i | ||||
\(907\) | −31.0018 | + | 8.30692i | −1.02940 | + | 0.275827i | −0.733714 | − | 0.679459i | \(-0.762215\pi\) |
−0.295685 | + | 0.955285i | \(0.595548\pi\) | |||||||
\(908\) | 0.642541 | − | 0.520319i | 0.0213235 | − | 0.0172674i | ||||
\(909\) | 20.9677 | − | 64.5318i | 0.695453 | − | 2.14038i | ||||
\(910\) | −13.5289 | + | 2.39459i | −0.448478 | + | 0.0793800i | ||||
\(911\) | 5.80505 | + | 17.8661i | 0.192330 | + | 0.591931i | 0.999997 | + | 0.00229239i | \(0.000729690\pi\) |
−0.807667 | + | 0.589638i | \(0.799270\pi\) | |||||||
\(912\) | 14.1572 | + | 9.19379i | 0.468792 | + | 0.304437i | ||||
\(913\) | −2.39249 | + | 45.6514i | −0.0791799 | + | 1.51084i | ||||
\(914\) | −5.51062 | + | 25.9254i | −0.182275 | + | 0.857538i | ||||
\(915\) | 86.4454 | − | 43.1566i | 2.85780 | − | 1.42671i | ||||
\(916\) | −7.58950 | − | 2.46598i | −0.250764 | − | 0.0814782i | ||||
\(917\) | 34.5980 | + | 32.8239i | 1.14253 | + | 1.08394i | ||||
\(918\) | −20.5275 | + | 20.5275i | −0.677507 | + | 0.677507i | ||||
\(919\) | −25.1772 | − | 2.64624i | −0.830521 | − | 0.0872913i | −0.320280 | − | 0.947323i | \(-0.603777\pi\) |
−0.510241 | + | 0.860032i | \(0.670444\pi\) | |||||||
\(920\) | 0.000736319 | 0.00129985i | 2.42757e−5 | 4.28548e-5i | ||||||
\(921\) | −3.63424 | − | 34.5775i | −0.119752 | − | 1.13937i | ||||
\(922\) | −25.7005 | + | 9.86551i | −0.846402 | + | 0.324903i | ||||
\(923\) | 0.390405 | − | 0.766213i | 0.0128503 | − | 0.0252202i | ||||
\(924\) | −26.5160 | + | 3.49435i | −0.872312 | + | 0.114956i | ||||
\(925\) | −33.5302 | + | 1.20605i | −1.10247 | + | 0.0396547i | ||||
\(926\) | 10.0344 | + | 17.3800i | 0.329750 | + | 0.571143i | ||||
\(927\) | −33.0278 | + | 21.4485i | −1.08478 | + | 0.704461i | ||||
\(928\) | 4.35812 | + | 3.52913i | 0.143062 | + | 0.115849i | ||||
\(929\) | −10.8732 | − | 4.84108i | −0.356740 | − | 0.158831i | 0.220539 | − | 0.975378i | \(-0.429219\pi\) |
−0.577278 | + | 0.816548i | \(0.695885\pi\) | |||||||
\(930\) | 1.09979 | − | 0.106479i | 0.0360636 | − | 0.00349158i | ||||
\(931\) | 38.1770 | − | 6.05666i | 1.25120 | − | 0.198499i | ||||
\(932\) | −15.1188 | − | 15.1188i | −0.495233 | − | 0.495233i | ||||
\(933\) | 10.9930 | + | 13.5752i | 0.359895 | + | 0.444433i | ||||
\(934\) | −3.69293 | − | 4.10142i | −0.120837 | − | 0.134203i | ||||
\(935\) | −5.59985 | + | 20.2335i | −0.183135 | + | 0.661707i | ||||
\(936\) | −10.9500 | − | 9.85945i | −0.357913 | − | 0.322266i | ||||
\(937\) | −11.8189 | − | 23.1960i | −0.386108 | − | 0.757779i | 0.613380 | − | 0.789788i | \(-0.289810\pi\) |
−0.999488 | + | 0.0320087i | \(0.989810\pi\) | |||||||
\(938\) | −16.7054 | − | 24.2998i | −0.545450 | − | 0.793418i | ||||
\(939\) | −21.0479 | + | 6.83888i | −0.686873 | + | 0.223178i | ||||
\(940\) | 14.9451 | − | 14.7019i | 0.487455 | − | 0.479522i | ||||
\(941\) | 35.8770 | − | 32.3038i | 1.16956 | − | 1.05308i | 0.171870 | − | 0.985120i | \(-0.445019\pi\) |
0.997688 | − | 0.0679555i | \(-0.0216476\pi\) | |||||||
\(942\) | 64.4790 | + | 24.7512i | 2.10084 | + | 0.806437i | ||||
\(943\) | 0.00176091 | − | 0.00657182i | 5.73433e−5 | − | 0.000214008i | ||||
\(944\) | 0.199280 | + | 0.144785i | 0.00648600 | + | 0.00471236i | ||||
\(945\) | −41.2829 | − | 44.2127i | −1.34293 | − | 1.43824i | ||||
\(946\) | −19.2849 | + | 14.0113i | −0.627007 | + | 0.455547i | ||||
\(947\) | 2.83721 | + | 7.39118i | 0.0921969 | + | 0.240181i | 0.971923 | − | 0.235300i | \(-0.0756073\pi\) |
−0.879726 | + | 0.475481i | \(0.842274\pi\) | |||||||
\(948\) | −23.0559 | − | 35.5030i | −0.748820 | − | 1.15308i | ||||
\(949\) | 33.0883 | + | 19.1035i | 1.07409 | + | 0.620127i | ||||
\(950\) | 14.6558 | + | 23.3996i | 0.475496 | + | 0.759182i | ||||
\(951\) | − | 69.6970i | − | 2.26008i | ||||||
\(952\) | 5.71146 | − | 4.87931i | 0.185110 | − | 0.158139i | ||||
\(953\) | 2.70823 | − | 17.0991i | 0.0877280 | − | 0.553893i | −0.904202 | − | 0.427105i | \(-0.859533\pi\) |
0.991930 | − | 0.126788i | \(-0.0404667\pi\) | |||||||
\(954\) | −8.95620 | + | 20.1159i | −0.289968 | + | 0.651278i | ||||
\(955\) | 4.47748 | − | 2.53633i | 0.144888 | − | 0.0820738i | ||||
\(956\) | −5.18992 | + | 2.31070i | −0.167854 | + | 0.0747335i | ||||
\(957\) | −54.7567 | − | 14.6720i | −1.77003 | − | 0.474279i | ||||
\(958\) | 4.34012 | + | 27.4025i | 0.140223 | + | 0.885334i | ||||
\(959\) | −2.39255 | + | 2.80204i | −0.0772594 | + | 0.0904825i | ||||
\(960\) | −0.413725 | + | 6.82295i | −0.0133529 | + | 0.220210i | ||||
\(961\) | 20.7256 | − | 23.0181i | 0.668567 | − | 0.742518i | ||||
\(962\) | −15.5625 | − | 0.815594i | −0.501754 | − | 0.0262958i | ||||
\(963\) | 4.04117 | + | 0.211789i | 0.130225 | + | 0.00682480i | ||||
\(964\) | 7.93088 | − | 8.80814i | 0.255437 | − | 0.283691i | ||||
\(965\) | 2.29258 | + | 3.59448i | 0.0738008 | + | 0.115710i | ||||
\(966\) | 0.00180437 | + | 0.00509331i | 5.80547e−5 | + | 0.000163875i | ||||
\(967\) | −1.25235 | − | 7.90705i | −0.0402730 | − | 0.254274i | 0.959335 | − | 0.282270i | \(-0.0910874\pi\) |
−0.999608 | + | 0.0279962i | \(0.991087\pi\) | |||||||
\(968\) | 0.0626015 | + | 0.0167740i | 0.00201209 | + | 0.000539137i | ||||
\(969\) | 43.7841 | − | 19.4939i | 1.40655 | − | 0.626235i | ||||
\(970\) | −2.86982 | − | 14.0679i | −0.0921444 | − | 0.451694i | ||||
\(971\) | 11.4386 | − | 25.6915i | 0.367082 | − | 0.824479i | −0.631704 | − | 0.775210i | \(-0.717644\pi\) |
0.998786 | − | 0.0492690i | \(-0.0156892\pi\) | |||||||
\(972\) | 1.04606 | − | 6.60456i | 0.0335524 | − | 0.211841i | ||||
\(973\) | 3.27167 | − | 9.24267i | 0.104885 | − | 0.296306i | ||||
\(974\) | 11.3297i | 0.363028i | ||||||||
\(975\) | −13.9036 | − | 32.6598i | −0.445273 | − | 1.04595i | ||||
\(976\) | −12.2412 | − | 7.06749i | −0.391833 | − | 0.226225i | ||||
\(977\) | −8.36550 | − | 12.8817i | −0.267636 | − | 0.412123i | 0.679144 | − | 0.734005i | \(-0.262351\pi\) |
−0.946780 | + | 0.321882i | \(0.895685\pi\) | |||||||
\(978\) | −11.4907 | − | 29.9342i | −0.367431 | − | 0.957191i | ||||
\(979\) | 29.3666 | − | 21.3361i | 0.938561 | − | 0.681905i | ||||
\(980\) | 9.75344 | + | 12.2422i | 0.311562 | + | 0.391061i | ||||
\(981\) | 18.3275 | + | 13.3157i | 0.585153 | + | 0.425139i | ||||
\(982\) | 2.66063 | − | 9.92960i | 0.0849041 | − | 0.316866i | ||||
\(983\) | −11.1309 | − | 4.27274i | −0.355019 | − | 0.136279i | 0.174321 | − | 0.984689i | \(-0.444227\pi\) |
−0.529340 | + | 0.848410i | \(0.677560\pi\) | |||||||
\(984\) | 23.1345 | − | 20.8304i | 0.737500 | − | 0.664048i | ||||
\(985\) | −37.6759 | + | 5.65087i | −1.20045 | + | 0.180052i | ||||
\(986\) | 15.1427 | − | 4.92015i | 0.482241 | − | 0.156690i | ||||
\(987\) | 62.4861 | − | 42.9573i | 1.98895 | − | 1.36735i | ||||
\(988\) | 5.82204 | + | 11.4264i | 0.185224 | + | 0.363522i | ||||
\(989\) | 0.00357899 | + | 0.00322254i | 0.000113805 | + | 0.000102471i | ||||
\(990\) | −16.4531 | − | 43.9356i | −0.522913 | − | 1.39636i | ||||
\(991\) | −0.345729 | − | 0.383971i | −0.0109824 | − | 0.0121972i | 0.737629 | − | 0.675207i | \(-0.235946\pi\) |
−0.748611 | + | 0.663009i | \(0.769279\pi\) | |||||||
\(992\) | −0.101728 | − | 0.125623i | −0.00322985 | − | 0.00398854i | ||||
\(993\) | 43.3673 | + | 43.3673i | 1.37622 | + | 1.37622i | ||||
\(994\) | −0.979357 | + | 0.0257707i | −0.0310633 | + | 0.000817398i | ||||
\(995\) | 5.49655 | − | 24.8549i | 0.174252 | − | 0.787954i | ||||
\(996\) | 38.6057 | + | 17.1884i | 1.22327 | + | 0.544634i | ||||
\(997\) | −22.8738 | − | 18.5228i | −0.724420 | − | 0.586624i | 0.194578 | − | 0.980887i | \(-0.437666\pi\) |
−0.918997 | + | 0.394263i | \(0.871000\pi\) | |||||||
\(998\) | 11.3393 | − | 7.36385i | 0.358940 | − | 0.233099i | ||||
\(999\) | −34.3058 | − | 59.4194i | −1.08539 | − | 1.87995i |
(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 | 350.2.x.a.17.1 | yes | 320 | |
7.5 | odd | 6 | inner | 350.2.x.a.117.20 | yes | 320 | |
25.3 | odd | 20 | inner | 350.2.x.a.3.20 | ✓ | 320 | |
175.103 | even | 60 | inner | 350.2.x.a.103.1 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.x.a.3.20 | ✓ | 320 | 25.3 | odd | 20 | inner | |
350.2.x.a.17.1 | yes | 320 | 1.1 | even | 1 | trivial | |
350.2.x.a.103.1 | yes | 320 | 175.103 | even | 60 | inner | |
350.2.x.a.117.20 | yes | 320 | 7.5 | odd | 6 | inner |