Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(20,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 36, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bv (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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(832\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 20.7 | ||
Character | \(\chi\) | \(=\) | 429.20 |
Dual form | 429.2.bv.a.236.7 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{3}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.16363 | − | 0.113391i | −1.52992 | − | 0.0801795i | −0.731315 | − | 0.682040i | \(-0.761093\pi\) |
−0.798601 | + | 0.601860i | \(0.794426\pi\) | |||||||
\(3\) | −1.53088 | + | 0.810191i | −0.883853 | + | 0.467764i | ||||
\(4\) | 2.67939 | + | 0.281615i | 1.33969 | + | 0.140807i | ||||
\(5\) | 2.44832 | + | 1.24748i | 1.09492 | + | 0.557889i | 0.905646 | − | 0.424035i | \(-0.139387\pi\) |
0.189274 | + | 0.981924i | \(0.439387\pi\) | |||||||
\(6\) | 3.40412 | − | 1.57936i | 1.38973 | − | 0.644773i | ||||
\(7\) | 2.26128 | + | 2.79244i | 0.854682 | + | 1.05544i | 0.997837 | + | 0.0657438i | \(0.0209420\pi\) |
−0.143155 | + | 0.989700i | \(0.545725\pi\) | |||||||
\(8\) | −1.48541 | − | 0.235267i | −0.525173 | − | 0.0831793i | ||||
\(9\) | 1.68718 | − | 2.48061i | 0.562394 | − | 0.826870i | ||||
\(10\) | −5.15579 | − | 2.97670i | −1.63040 | − | 0.941314i | ||||
\(11\) | 0.602183 | + | 3.26150i | 0.181565 | + | 0.983379i | ||||
\(12\) | −4.32998 | + | 1.73970i | −1.24996 | + | 0.502207i | ||||
\(13\) | 2.45062 | − | 2.64470i | 0.679681 | − | 0.733508i | ||||
\(14\) | −4.57592 | − | 6.29822i | −1.22297 | − | 1.68327i | ||||
\(15\) | −4.75877 | + | 0.0738635i | −1.22871 | + | 0.0190715i | ||||
\(16\) | −2.08333 | − | 0.442826i | −0.520833 | − | 0.110707i | ||||
\(17\) | 4.44510 | − | 4.93678i | 1.07809 | − | 1.19735i | 0.0987578 | − | 0.995111i | \(-0.468513\pi\) |
0.979337 | − | 0.202234i | \(-0.0648203\pi\) | |||||||
\(18\) | −3.93171 | + | 5.17580i | −0.926713 | + | 1.21995i | ||||
\(19\) | −0.403472 | − | 1.05108i | −0.0925628 | − | 0.241134i | 0.879481 | − | 0.475934i | \(-0.157890\pi\) |
−0.972044 | + | 0.234800i | \(0.924557\pi\) | |||||||
\(20\) | 6.20867 | + | 4.03196i | 1.38830 | + | 0.901573i | ||||
\(21\) | −5.72415 | − | 2.44283i | −1.24911 | − | 0.533069i | ||||
\(22\) | −0.933076 | − | 7.12495i | −0.198932 | − | 1.51905i | ||||
\(23\) | 1.59438 | − | 2.76155i | 0.332452 | − | 0.575823i | −0.650540 | − | 0.759472i | \(-0.725458\pi\) |
0.982992 | + | 0.183649i | \(0.0587909\pi\) | |||||||
\(24\) | 2.46460 | − | 0.843305i | 0.503085 | − | 0.172139i | ||||
\(25\) | 1.49912 | + | 2.06336i | 0.299823 | + | 0.412672i | ||||
\(26\) | −5.60212 | + | 5.44427i | −1.09867 | + | 1.06771i | ||||
\(27\) | −0.573104 | + | 5.16445i | −0.110294 | + | 0.993899i | ||||
\(28\) | 5.27244 | + | 8.11884i | 0.996397 | + | 1.53432i | ||||
\(29\) | 2.33910 | + | 5.25370i | 0.434360 | + | 0.975588i | 0.989593 | + | 0.143893i | \(0.0459622\pi\) |
−0.555233 | + | 0.831695i | \(0.687371\pi\) | |||||||
\(30\) | 10.3046 | + | 0.379788i | 1.88135 | + | 0.0693396i | ||||
\(31\) | −1.81043 | + | 0.922462i | −0.325163 | + | 0.165679i | −0.608950 | − | 0.793208i | \(-0.708409\pi\) |
0.283787 | + | 0.958887i | \(0.408409\pi\) | |||||||
\(32\) | 7.36272 | + | 1.97283i | 1.30156 | + | 0.348751i | ||||
\(33\) | −3.56431 | − | 4.50508i | −0.620466 | − | 0.784233i | ||||
\(34\) | −10.1773 | + | 10.1773i | −1.74540 | + | 1.74540i | ||||
\(35\) | 2.05280 | + | 9.65767i | 0.346987 | + | 1.63244i | ||||
\(36\) | 5.21918 | − | 6.17137i | 0.869864 | − | 1.02856i | ||||
\(37\) | 0.862032 | − | 2.24567i | 0.141717 | − | 0.369186i | −0.844291 | − | 0.535886i | \(-0.819978\pi\) |
0.986008 | + | 0.166700i | \(0.0533111\pi\) | |||||||
\(38\) | 0.753780 | + | 2.31990i | 0.122279 | + | 0.376337i | ||||
\(39\) | −1.60890 | + | 6.03419i | −0.257630 | + | 0.966244i | ||||
\(40\) | −3.34327 | − | 2.42903i | −0.528618 | − | 0.384063i | ||||
\(41\) | 2.20732 | + | 1.78745i | 0.344725 | + | 0.279153i | 0.786009 | − | 0.618214i | \(-0.212144\pi\) |
−0.441284 | + | 0.897367i | \(0.645477\pi\) | |||||||
\(42\) | 12.1079 | + | 5.93444i | 1.86830 | + | 0.915703i | ||||
\(43\) | 3.53700 | − | 2.04209i | 0.539388 | − | 0.311416i | −0.205443 | − | 0.978669i | \(-0.565864\pi\) |
0.744831 | + | 0.667253i | \(0.232530\pi\) | |||||||
\(44\) | 0.694995 | + | 8.90840i | 0.104774 | + | 1.34299i | ||||
\(45\) | 7.22526 | − | 3.96859i | 1.07708 | − | 0.591602i | ||||
\(46\) | −3.76278 | + | 5.79418i | −0.554792 | + | 0.854305i | ||||
\(47\) | 9.36158 | + | 1.48273i | 1.36553 | + | 0.216278i | 0.795802 | − | 0.605557i | \(-0.207050\pi\) |
0.569725 | + | 0.821836i | \(0.307050\pi\) | |||||||
\(48\) | 3.54810 | − | 1.00998i | 0.512125 | − | 0.145779i | ||||
\(49\) | −1.22899 | + | 5.78193i | −0.175570 | + | 0.825990i | ||||
\(50\) | −3.00957 | − | 4.63432i | −0.425617 | − | 0.655392i | ||||
\(51\) | −2.80517 | + | 11.1590i | −0.392803 | + | 1.56257i | ||||
\(52\) | 7.31095 | − | 6.39604i | 1.01385 | − | 0.886971i | ||||
\(53\) | −13.5249 | − | 4.39449i | −1.85778 | − | 0.603630i | −0.995218 | − | 0.0976807i | \(-0.968858\pi\) |
−0.862563 | − | 0.505949i | \(-0.831142\pi\) | |||||||
\(54\) | 1.82559 | − | 11.1090i | 0.248431 | − | 1.51174i | ||||
\(55\) | −2.59432 | + | 8.73639i | −0.349818 | + | 1.17801i | ||||
\(56\) | −2.70196 | − | 4.67994i | −0.361065 | − | 0.625383i | ||||
\(57\) | 1.46924 | + | 1.28219i | 0.194606 | + | 0.169830i | ||||
\(58\) | −4.46522 | − | 11.6323i | −0.586312 | − | 1.52739i | ||||
\(59\) | −2.03649 | + | 1.64912i | −0.265129 | + | 0.214697i | −0.752662 | − | 0.658408i | \(-0.771230\pi\) |
0.487533 | + | 0.873105i | \(0.337897\pi\) | |||||||
\(60\) | −12.7714 | − | 1.14223i | −1.64878 | − | 0.147461i | ||||
\(61\) | −4.46636 | + | 4.96039i | −0.571859 | + | 0.635113i | −0.957809 | − | 0.287406i | \(-0.907207\pi\) |
0.385950 | + | 0.922520i | \(0.373874\pi\) | |||||||
\(62\) | 4.02170 | − | 1.79058i | 0.510757 | − | 0.227404i | ||||
\(63\) | 10.7421 | − | 0.897983i | 1.35338 | − | 0.113135i | ||||
\(64\) | −11.6552 | − | 3.78701i | −1.45690 | − | 0.473376i | ||||
\(65\) | 9.29911 | − | 3.41796i | 1.15341 | − | 0.423946i | ||||
\(66\) | 7.20100 | + | 10.1515i | 0.886382 | + | 1.24956i | ||||
\(67\) | −9.52080 | + | 2.55109i | −1.16315 | + | 0.311665i | −0.788223 | − | 0.615389i | \(-0.788999\pi\) |
−0.374927 | + | 0.927054i | \(0.622332\pi\) | |||||||
\(68\) | 13.3004 | − | 11.9757i | 1.61291 | − | 1.45227i | ||||
\(69\) | −0.203423 | + | 5.51935i | −0.0244892 | + | 0.664452i | ||||
\(70\) | −3.34641 | − | 21.1284i | −0.399972 | − | 2.52532i | ||||
\(71\) | −0.167737 | − | 3.20061i | −0.0199067 | − | 0.379843i | −0.990357 | − | 0.138541i | \(-0.955759\pi\) |
0.970450 | − | 0.241302i | \(-0.0775745\pi\) | |||||||
\(72\) | −3.08977 | + | 3.28780i | −0.364133 | + | 0.387470i | ||||
\(73\) | 11.3810 | − | 1.80257i | 1.33204 | − | 0.210975i | 0.550506 | − | 0.834831i | \(-0.314435\pi\) |
0.781539 | + | 0.623856i | \(0.214435\pi\) | |||||||
\(74\) | −2.11975 | + | 4.76105i | −0.246416 | + | 0.553460i | ||||
\(75\) | −3.96668 | − | 1.94418i | −0.458033 | − | 0.224495i | ||||
\(76\) | −0.785057 | − | 2.92987i | −0.0900522 | − | 0.336079i | ||||
\(77\) | −7.74585 | + | 9.05671i | −0.882721 | + | 1.03211i | ||||
\(78\) | 4.16528 | − | 12.8733i | 0.471625 | − | 1.45762i | ||||
\(79\) | 0.714637 | − | 2.19943i | 0.0804029 | − | 0.247455i | −0.902773 | − | 0.430118i | \(-0.858472\pi\) |
0.983176 | + | 0.182663i | \(0.0584719\pi\) | |||||||
\(80\) | −4.54824 | − | 3.68309i | −0.508509 | − | 0.411782i | ||||
\(81\) | −3.30684 | − | 8.37047i | −0.367427 | − | 0.930053i | ||||
\(82\) | −4.57313 | − | 4.11767i | −0.505018 | − | 0.454720i | ||||
\(83\) | −4.07684 | − | 2.07725i | −0.447491 | − | 0.228008i | 0.215698 | − | 0.976460i | \(-0.430797\pi\) |
−0.663189 | + | 0.748452i | \(0.730797\pi\) | |||||||
\(84\) | −14.6493 | − | 8.15728i | −1.59837 | − | 0.890032i | ||||
\(85\) | 17.0415 | − | 6.54163i | 1.84841 | − | 0.709540i | ||||
\(86\) | −7.88431 | + | 4.01726i | −0.850187 | + | 0.433192i | ||||
\(87\) | −7.83738 | − | 6.14766i | −0.840255 | − | 0.659099i | ||||
\(88\) | −0.127170 | − | 4.98635i | −0.0135564 | − | 0.531547i | ||||
\(89\) | −15.6295 | + | 4.18790i | −1.65672 | + | 0.443917i | −0.961483 | − | 0.274865i | \(-0.911367\pi\) |
−0.695236 | + | 0.718781i | \(0.744700\pi\) | |||||||
\(90\) | −16.0828 | + | 7.76727i | −1.69527 | + | 0.818742i | ||||
\(91\) | 12.9267 | + | 0.862830i | 1.35509 | + | 0.0904492i | ||||
\(92\) | 5.04966 | − | 6.95026i | 0.526463 | − | 0.724614i | ||||
\(93\) | 2.02418 | − | 2.87897i | 0.209898 | − | 0.298536i | ||||
\(94\) | −20.0868 | − | 4.26959i | −2.07180 | − | 0.440375i | ||||
\(95\) | 0.323374 | − | 3.07670i | 0.0331775 | − | 0.315663i | ||||
\(96\) | −12.8698 | + | 2.94504i | −1.31352 | + | 0.300576i | ||||
\(97\) | 9.08096 | + | 5.89725i | 0.922032 | + | 0.598775i | 0.915987 | − | 0.401207i | \(-0.131409\pi\) |
0.00604486 | + | 0.999982i | \(0.498076\pi\) | |||||||
\(98\) | 3.31469 | − | 12.3706i | 0.334834 | − | 1.24962i | ||||
\(99\) | 9.10649 | + | 4.00896i | 0.915237 | + | 0.402916i | ||||
\(100\) | 3.43564 | + | 5.95070i | 0.343564 | + | 0.595070i | ||||
\(101\) | 2.47720 | + | 2.75121i | 0.246491 | + | 0.273756i | 0.853676 | − | 0.520805i | \(-0.174368\pi\) |
−0.607185 | + | 0.794560i | \(0.707701\pi\) | |||||||
\(102\) | 7.33468 | − | 23.8258i | 0.726242 | − | 2.35911i | ||||
\(103\) | −9.46753 | + | 13.0309i | −0.932864 | + | 1.28398i | 0.0258685 | + | 0.999665i | \(0.491765\pi\) |
−0.958732 | + | 0.284311i | \(0.908235\pi\) | |||||||
\(104\) | −4.26240 | + | 3.35193i | −0.417963 | + | 0.328684i | ||||
\(105\) | −10.9672 | − | 13.1216i | −1.07028 | − | 1.28053i | ||||
\(106\) | 28.7645 | + | 11.0416i | 2.79385 | + | 1.07246i | ||||
\(107\) | −6.80675 | + | 0.715418i | −0.658033 | + | 0.0691621i | −0.427659 | − | 0.903940i | \(-0.640662\pi\) |
−0.230374 | + | 0.973102i | \(0.573995\pi\) | |||||||
\(108\) | −2.98995 | + | 13.6762i | −0.287708 | + | 1.31599i | ||||
\(109\) | −3.36181 | − | 3.36181i | −0.322003 | − | 0.322003i | 0.527532 | − | 0.849535i | \(-0.323117\pi\) |
−0.849535 | + | 0.527532i | \(0.823117\pi\) | |||||||
\(110\) | 6.60376 | − | 18.6081i | 0.629644 | − | 1.77421i | ||||
\(111\) | 0.499755 | + | 4.13626i | 0.0474346 | + | 0.392596i | ||||
\(112\) | −3.47442 | − | 6.81894i | −0.328302 | − | 0.644329i | ||||
\(113\) | −0.0579405 | + | 0.130136i | −0.00545058 | + | 0.0122422i | −0.916250 | − | 0.400606i | \(-0.868799\pi\) |
0.910800 | + | 0.412849i | \(0.135466\pi\) | |||||||
\(114\) | −3.03351 | − | 2.94078i | −0.284114 | − | 0.275429i | ||||
\(115\) | 7.34852 | − | 4.77219i | 0.685253 | − | 0.445009i | ||||
\(116\) | 4.78783 | + | 14.7354i | 0.444539 | + | 1.36815i | ||||
\(117\) | −2.42582 | − | 10.5411i | −0.224267 | − | 0.974528i | ||||
\(118\) | 4.59321 | − | 3.33716i | 0.422839 | − | 0.307211i | ||||
\(119\) | 23.8373 | + | 1.24926i | 2.18516 | + | 0.114519i | ||||
\(120\) | 7.08613 | + | 1.00986i | 0.646872 | + | 0.0921874i | ||||
\(121\) | −10.2748 | + | 3.92804i | −0.934068 | + | 0.357095i | ||||
\(122\) | 10.2260 | − | 10.2260i | 0.925819 | − | 0.925819i | ||||
\(123\) | −4.82731 | − | 0.948022i | −0.435264 | − | 0.0854802i | ||||
\(124\) | −5.11063 | + | 1.96179i | −0.458948 | + | 0.176174i | ||||
\(125\) | −1.05294 | − | 6.64802i | −0.0941781 | − | 0.594617i | ||||
\(126\) | −23.3438 | + | 0.724839i | −2.07963 | + | 0.0645738i | ||||
\(127\) | 0.756702 | − | 3.56000i | 0.0671465 | − | 0.315899i | −0.931737 | − | 0.363133i | \(-0.881707\pi\) |
0.998884 | + | 0.0472335i | \(0.0150405\pi\) | |||||||
\(128\) | 10.5558 | + | 4.05199i | 0.933010 | + | 0.358149i | ||||
\(129\) | −3.76024 | + | 5.99184i | −0.331071 | + | 0.527552i | ||||
\(130\) | −20.5074 | + | 6.34076i | −1.79862 | + | 0.556121i | ||||
\(131\) | − | 13.6611i | − | 1.19358i | −0.802399 | − | 0.596788i | \(-0.796443\pi\) | ||
0.802399 | − | 0.596788i | \(-0.203557\pi\) | |||||||
\(132\) | −8.28145 | − | 13.0746i | −0.720808 | − | 1.13800i | ||||
\(133\) | 2.02272 | − | 3.50345i | 0.175392 | − | 0.303788i | ||||
\(134\) | 20.8887 | − | 4.44004i | 1.80451 | − | 0.383561i | ||||
\(135\) | −7.84568 | + | 11.9293i | −0.675249 | + | 1.02671i | ||||
\(136\) | −7.76428 | + | 6.28739i | −0.665781 | + | 0.539139i | ||||
\(137\) | −20.2751 | + | 1.06257i | −1.73222 | + | 0.0907816i | −0.892161 | − | 0.451718i | \(-0.850811\pi\) |
−0.840056 | + | 0.542500i | \(0.817478\pi\) | |||||||
\(138\) | 1.06598 | − | 11.9188i | 0.0907419 | − | 1.01459i | ||||
\(139\) | −1.84685 | + | 17.5716i | −0.156648 | + | 1.49041i | 0.580270 | + | 0.814424i | \(0.302947\pi\) |
−0.736918 | + | 0.675982i | \(0.763720\pi\) | |||||||
\(140\) | 2.78050 | + | 26.4547i | 0.234995 | + | 2.23583i | ||||
\(141\) | −15.5327 | + | 5.31479i | −1.30809 | + | 0.447586i | ||||
\(142\) | 6.94396i | 0.582724i | ||||||||
\(143\) | 10.1014 | + | 6.40011i | 0.844723 | + | 0.535204i | ||||
\(144\) | −4.61344 | + | 4.42081i | −0.384453 | + | 0.368400i | ||||
\(145\) | −0.827031 | + | 15.7807i | −0.0686812 | + | 1.31052i | ||||
\(146\) | −24.8286 | + | 2.60959i | −2.05483 | + | 0.215972i | ||||
\(147\) | −2.80304 | − | 9.84715i | −0.231191 | − | 0.812179i | ||||
\(148\) | 2.94213 | − | 5.77425i | 0.241842 | − | 0.474641i | ||||
\(149\) | 0.287383 | + | 5.48359i | 0.0235433 | + | 0.449233i | 0.984812 | + | 0.173622i | \(0.0555470\pi\) |
−0.961269 | + | 0.275612i | \(0.911120\pi\) | |||||||
\(150\) | 8.36197 | + | 4.65627i | 0.682752 | + | 0.380183i | ||||
\(151\) | 0.162439 | − | 1.02560i | 0.0132191 | − | 0.0834620i | −0.980197 | − | 0.198026i | \(-0.936547\pi\) |
0.993416 | + | 0.114564i | \(0.0365470\pi\) | |||||||
\(152\) | 0.352039 | + | 1.65621i | 0.0285541 | + | 0.134337i | ||||
\(153\) | −4.74654 | − | 19.3558i | −0.383735 | − | 1.56482i | ||||
\(154\) | 17.7861 | − | 18.7170i | 1.43324 | − | 1.50826i | ||||
\(155\) | −5.58326 | −0.448458 | ||||||||
\(156\) | −6.01017 | + | 15.7148i | −0.481199 | + | 1.25819i | ||||
\(157\) | −2.78689 | + | 2.02480i | −0.222418 | + | 0.161596i | −0.693415 | − | 0.720539i | \(-0.743895\pi\) |
0.470996 | + | 0.882135i | \(0.343895\pi\) | |||||||
\(158\) | −1.79560 | + | 4.67771i | −0.142851 | + | 0.372138i | ||||
\(159\) | 24.2653 | − | 4.23028i | 1.92436 | − | 0.335483i | ||||
\(160\) | 15.5652 | + | 14.0150i | 1.23054 | + | 1.10798i | ||||
\(161\) | 11.3168 | − | 1.79241i | 0.891889 | − | 0.141261i | ||||
\(162\) | 6.20563 | + | 18.4856i | 0.487561 | + | 1.45236i | ||||
\(163\) | 10.6369 | − | 16.3795i | 0.833150 | − | 1.28294i | −0.123690 | − | 0.992321i | \(-0.539473\pi\) |
0.956839 | − | 0.290617i | \(-0.0938606\pi\) | |||||||
\(164\) | 5.41088 | + | 5.41088i | 0.422519 | + | 0.422519i | ||||
\(165\) | −3.10656 | − | 15.4762i | −0.241845 | − | 1.20482i | ||||
\(166\) | 8.58522 | + | 4.95668i | 0.666342 | + | 0.384713i | ||||
\(167\) | 0.206316 | − | 3.93674i | 0.0159652 | − | 0.304634i | −0.978962 | − | 0.204041i | \(-0.934593\pi\) |
0.994928 | − | 0.100593i | \(-0.0320741\pi\) | |||||||
\(168\) | 7.92802 | + | 4.97531i | 0.611660 | + | 0.383854i | ||||
\(169\) | −0.988884 | − | 12.9623i | −0.0760680 | − | 0.997103i | ||||
\(170\) | −37.6133 | + | 12.2213i | −2.88481 | + | 0.937331i | ||||
\(171\) | −3.28805 | − | 0.772507i | −0.251443 | − | 0.0590751i | ||||
\(172\) | 10.0521 | − | 4.47547i | 0.766464 | − | 0.341252i | ||||
\(173\) | 10.8920 | + | 4.84943i | 0.828103 | + | 0.368695i | 0.776613 | − | 0.629978i | \(-0.216936\pi\) |
0.0514902 | + | 0.998674i | \(0.483603\pi\) | |||||||
\(174\) | 16.2601 | + | 14.1899i | 1.23267 | + | 1.07574i | ||||
\(175\) | −2.37189 | + | 8.85202i | −0.179298 | + | 0.669150i | ||||
\(176\) | 0.189729 | − | 7.06145i | 0.0143013 | − | 0.532277i | ||||
\(177\) | 1.78152 | − | 4.17455i | 0.133907 | − | 0.313778i | ||||
\(178\) | 34.2912 | − | 7.28882i | 2.57023 | − | 0.546320i | ||||
\(179\) | 1.15281 | + | 10.9682i | 0.0861647 | + | 0.819802i | 0.949203 | + | 0.314664i | \(0.101892\pi\) |
−0.863038 | + | 0.505138i | \(0.831441\pi\) | |||||||
\(180\) | 20.4769 | − | 8.59864i | 1.52626 | − | 0.640905i | ||||
\(181\) | 7.38324 | − | 2.39896i | 0.548792 | − | 0.178313i | −0.0214801 | − | 0.999769i | \(-0.506838\pi\) |
0.570272 | + | 0.821456i | \(0.306838\pi\) | |||||||
\(182\) | −27.8708 | − | 3.33262i | −2.06592 | − | 0.247030i | ||||
\(183\) | 2.81859 | − | 11.2124i | 0.208356 | − | 0.828842i | ||||
\(184\) | −3.01802 | + | 3.72694i | −0.222491 | + | 0.274754i | ||||
\(185\) | 4.91195 | − | 4.42274i | 0.361134 | − | 0.325166i | ||||
\(186\) | −4.70603 | + | 5.99950i | −0.345063 | + | 0.439905i | ||||
\(187\) | 18.7781 | + | 11.5248i | 1.37319 | + | 0.842780i | ||||
\(188\) | 24.6657 | + | 6.60916i | 1.79893 | + | 0.482022i | ||||
\(189\) | −15.7174 | + | 10.0779i | −1.14327 | + | 0.733058i | ||||
\(190\) | −1.04853 | + | 6.62016i | −0.0760684 | + | 0.480277i | ||||
\(191\) | −2.70369 | − | 0.284169i | −0.195632 | − | 0.0205617i | 0.00620573 | − | 0.999981i | \(-0.498025\pi\) |
−0.201838 | + | 0.979419i | \(0.564691\pi\) | |||||||
\(192\) | 20.9109 | − | 3.64550i | 1.50912 | − | 0.263091i | ||||
\(193\) | −3.19480 | + | 2.07473i | −0.229967 | + | 0.149342i | −0.654479 | − | 0.756080i | \(-0.727112\pi\) |
0.424513 | + | 0.905422i | \(0.360445\pi\) | |||||||
\(194\) | −18.9791 | − | 13.7891i | −1.36262 | − | 0.990003i | ||||
\(195\) | −11.4666 | + | 12.7665i | −0.821141 | + | 0.914231i | ||||
\(196\) | −4.92121 | + | 15.1459i | −0.351515 | + | 1.08185i | ||||
\(197\) | 5.90139 | + | 22.0243i | 0.420457 | + | 1.56917i | 0.773648 | + | 0.633616i | \(0.218430\pi\) |
−0.353191 | + | 0.935551i | \(0.614903\pi\) | |||||||
\(198\) | −19.2485 | − | 9.70649i | −1.36793 | − | 0.689810i | ||||
\(199\) | −1.10391 | + | 0.637344i | −0.0782542 | + | 0.0451801i | −0.538617 | − | 0.842551i | \(-0.681053\pi\) |
0.460362 | + | 0.887731i | \(0.347720\pi\) | |||||||
\(200\) | −1.74137 | − | 3.41763i | −0.123134 | − | 0.241663i | ||||
\(201\) | 12.5083 | − | 11.6191i | 0.882269 | − | 0.819546i | ||||
\(202\) | −5.04778 | − | 6.23349i | −0.355160 | − | 0.438587i | ||||
\(203\) | −9.38131 | + | 18.4119i | −0.658439 | + | 1.29226i | ||||
\(204\) | −10.6587 | + | 29.1093i | −0.746257 | + | 2.03806i | ||||
\(205\) | 3.17440 | + | 7.12982i | 0.221710 | + | 0.497968i | ||||
\(206\) | 21.9618 | − | 27.1206i | 1.53015 | − | 1.88958i | ||||
\(207\) | −4.16031 | − | 8.61427i | −0.289162 | − | 0.598733i | ||||
\(208\) | −6.27661 | + | 4.42459i | −0.435204 | + | 0.306790i | ||||
\(209\) | 3.18513 | − | 1.94887i | 0.220320 | − | 0.134806i | ||||
\(210\) | 22.2410 | + | 29.6338i | 1.53477 | + | 2.04492i | ||||
\(211\) | −5.93369 | − | 6.59003i | −0.408492 | − | 0.453677i | 0.503432 | − | 0.864035i | \(-0.332070\pi\) |
−0.911924 | + | 0.410358i | \(0.865404\pi\) | |||||||
\(212\) | −35.0007 | − | 15.5833i | −2.40386 | − | 1.07027i | ||||
\(213\) | 2.84989 | + | 4.76385i | 0.195271 | + | 0.326414i | ||||
\(214\) | 14.8084 | − | 0.776075i | 1.01228 | − | 0.0530514i | ||||
\(215\) | 11.2072 | − | 0.587342i | 0.764322 | − | 0.0400564i | ||||
\(216\) | 2.06632 | − | 7.53652i | 0.140595 | − | 0.512795i | ||||
\(217\) | −6.66981 | − | 2.96959i | −0.452776 | − | 0.201589i | ||||
\(218\) | 6.89251 | + | 7.65491i | 0.466820 | + | 0.518456i | ||||
\(219\) | −15.9625 | + | 11.9803i | −1.07865 | + | 0.809554i | ||||
\(220\) | −9.41147 | + | 22.6776i | −0.634521 | + | 1.52892i | ||||
\(221\) | −2.16305 | − | 23.8542i | −0.145502 | − | 1.60460i | ||||
\(222\) | −0.612269 | − | 9.00599i | −0.0410928 | − | 0.604443i | ||||
\(223\) | 11.4930 | − | 14.1927i | 0.769632 | − | 0.950416i | −0.230110 | − | 0.973165i | \(-0.573908\pi\) |
0.999741 | + | 0.0227489i | \(0.00724183\pi\) | |||||||
\(224\) | 11.1401 | + | 25.0211i | 0.744330 | + | 1.67179i | ||||
\(225\) | 7.64766 | − | 0.237464i | 0.509844 | − | 0.0158310i | ||||
\(226\) | 0.140118 | − | 0.274997i | 0.00932051 | − | 0.0182925i | ||||
\(227\) | −10.5416 | − | 13.0177i | −0.699668 | − | 0.864018i | 0.296172 | − | 0.955135i | \(-0.404290\pi\) |
−0.995840 | + | 0.0911165i | \(0.970956\pi\) | |||||||
\(228\) | 3.57558 | + | 3.84923i | 0.236799 | + | 0.254922i | ||||
\(229\) | −7.64597 | − | 15.0061i | −0.505260 | − | 0.991629i | −0.992941 | − | 0.118607i | \(-0.962157\pi\) |
0.487681 | − | 0.873022i | \(-0.337843\pi\) | |||||||
\(230\) | −16.4406 | + | 9.49198i | −1.08406 | + | 0.625883i | ||||
\(231\) | 4.52029 | − | 20.1403i | 0.297413 | − | 1.32514i | ||||
\(232\) | −2.23851 | − | 8.35424i | −0.146965 | − | 0.548483i | ||||
\(233\) | 8.03385 | − | 24.7257i | 0.526315 | − | 1.61983i | −0.235385 | − | 0.971902i | \(-0.575635\pi\) |
0.761700 | − | 0.647929i | \(-0.224365\pi\) | |||||||
\(234\) | 4.05331 | + | 23.0821i | 0.264973 | + | 1.50893i | ||||
\(235\) | 21.0704 | + | 15.3086i | 1.37448 | + | 0.998620i | ||||
\(236\) | −5.92096 | + | 3.84512i | −0.385422 | + | 0.250296i | ||||
\(237\) | 0.687933 | + | 3.94605i | 0.0446860 | + | 0.256323i | ||||
\(238\) | −51.4334 | − | 5.40586i | −3.33393 | − | 0.350410i | ||||
\(239\) | −2.99285 | + | 18.8961i | −0.193591 | + | 1.22229i | 0.679111 | + | 0.734036i | \(0.262366\pi\) |
−0.872702 | + | 0.488253i | \(0.837634\pi\) | |||||||
\(240\) | 9.94681 | + | 1.95343i | 0.642064 | + | 0.126093i | ||||
\(241\) | −28.4260 | − | 7.61672i | −1.83108 | − | 0.490636i | −0.833039 | − | 0.553214i | \(-0.813401\pi\) |
−0.998040 | + | 0.0625776i | \(0.980068\pi\) | |||||||
\(242\) | 22.6761 | − | 7.33375i | 1.45768 | − | 0.471432i | ||||
\(243\) | 11.8441 | + | 10.1350i | 0.759796 | + | 0.650161i | ||||
\(244\) | −13.3640 | + | 12.0330i | −0.855544 | + | 0.770335i | ||||
\(245\) | −10.2218 | + | 12.6229i | −0.653046 | + | 0.806445i | ||||
\(246\) | 10.3370 | + | 2.59854i | 0.659064 | + | 0.165677i | ||||
\(247\) | −3.76855 | − | 1.50874i | −0.239787 | − | 0.0959988i | ||||
\(248\) | 2.90627 | − | 0.944304i | 0.184548 | − | 0.0599634i | ||||
\(249\) | 7.92412 | − | 0.122995i | 0.502171 | − | 0.00779446i | ||||
\(250\) | 1.52435 | + | 14.5032i | 0.0964085 | + | 0.917266i | ||||
\(251\) | −12.8248 | + | 2.72599i | −0.809493 | + | 0.172063i | −0.594024 | − | 0.804448i | \(-0.702461\pi\) |
−0.215469 | + | 0.976511i | \(0.569128\pi\) | |||||||
\(252\) | 29.0352 | + | 0.619104i | 1.82905 | + | 0.0389999i | ||||
\(253\) | 9.96690 | + | 3.53712i | 0.626614 | + | 0.222377i | ||||
\(254\) | −2.04089 | + | 7.61672i | −0.128057 | + | 0.477916i | ||||
\(255\) | −20.7886 | + | 23.8213i | −1.30183 | + | 1.49175i | ||||
\(256\) | 0.0116521 | + | 0.00518783i | 0.000728254 | + | 0.000324240i | ||||
\(257\) | 2.56061 | − | 1.14006i | 0.159727 | − | 0.0711149i | −0.325316 | − | 0.945605i | \(-0.605471\pi\) |
0.485043 | + | 0.874490i | \(0.338804\pi\) | |||||||
\(258\) | 8.81518 | − | 12.5377i | 0.548809 | − | 0.780565i | ||||
\(259\) | 8.22019 | − | 2.67090i | 0.510778 | − | 0.165962i | ||||
\(260\) | 25.8784 | − | 6.53926i | 1.60491 | − | 0.405548i | ||||
\(261\) | 16.9789 | + | 3.06156i | 1.05097 | + | 0.189506i | ||||
\(262\) | −1.54904 | + | 29.5575i | −0.0957003 | + | 1.82607i | ||||
\(263\) | −6.58155 | − | 3.79986i | −0.405836 | − | 0.234310i | 0.283163 | − | 0.959072i | \(-0.408616\pi\) |
−0.688999 | + | 0.724762i | \(0.741950\pi\) | |||||||
\(264\) | 4.23458 | + | 7.53047i | 0.260620 | + | 0.463468i | ||||
\(265\) | −27.6311 | − | 27.6311i | −1.69736 | − | 1.69736i | ||||
\(266\) | −4.77367 | + | 7.35081i | −0.292693 | + | 0.450707i | ||||
\(267\) | 20.5338 | − | 19.0740i | 1.25665 | − | 1.16731i | ||||
\(268\) | −26.2283 | + | 4.15416i | −1.60215 | + | 0.253755i | ||||
\(269\) | −0.235670 | − | 0.212198i | −0.0143691 | − | 0.0129380i | 0.661915 | − | 0.749579i | \(-0.269744\pi\) |
−0.676284 | + | 0.736641i | \(0.736411\pi\) | |||||||
\(270\) | 18.3278 | − | 24.9209i | 1.11539 | − | 1.51664i | ||||
\(271\) | −1.88676 | + | 4.91519i | −0.114613 | + | 0.298576i | −0.978873 | − | 0.204468i | \(-0.934454\pi\) |
0.864260 | + | 0.503045i | \(0.167787\pi\) | |||||||
\(272\) | −11.4468 | + | 8.31656i | −0.694062 | + | 0.504265i | ||||
\(273\) | −20.4883 | + | 9.15222i | −1.24001 | + | 0.553917i | ||||
\(274\) | 43.9882 | 2.65742 | ||||||||
\(275\) | −5.82690 | + | 6.13189i | −0.351375 | + | 0.369767i | ||||
\(276\) | −2.09938 | + | 14.7312i | −0.126368 | + | 0.886713i | ||||
\(277\) | 1.83513 | + | 8.63361i | 0.110262 | + | 0.518743i | 0.998264 | + | 0.0589026i | \(0.0187601\pi\) |
−0.888001 | + | 0.459841i | \(0.847907\pi\) | |||||||
\(278\) | 5.98837 | − | 37.8091i | 0.359158 | − | 2.26764i | ||||
\(279\) | −0.766262 | + | 6.04734i | −0.0458749 | + | 0.362045i | ||||
\(280\) | −0.777134 | − | 14.8286i | −0.0464427 | − | 0.886179i | ||||
\(281\) | 13.4573 | − | 26.4115i | 0.802796 | − | 1.57558i | −0.0148745 | − | 0.999889i | \(-0.504735\pi\) |
0.817671 | − | 0.575686i | \(-0.195265\pi\) | |||||||
\(282\) | 34.2097 | − | 9.73795i | 2.03716 | − | 0.579887i | ||||
\(283\) | −21.5135 | + | 2.26116i | −1.27885 | + | 0.134412i | −0.719482 | − | 0.694511i | \(-0.755621\pi\) |
−0.559363 | + | 0.828923i | \(0.688954\pi\) | |||||||
\(284\) | 0.451908 | − | 8.62291i | 0.0268158 | − | 0.511676i | ||||
\(285\) | 1.99767 | + | 4.97205i | 0.118332 | + | 0.294519i | ||||
\(286\) | −21.1300 | − | 14.9929i | −1.24944 | − | 0.886547i | ||||
\(287\) | 10.2057i | 0.602425i | ||||||||
\(288\) | 17.3161 | − | 14.9355i | 1.02036 | − | 0.880082i | ||||
\(289\) | −2.83593 | − | 26.9821i | −0.166820 | − | 1.58718i | ||||
\(290\) | 3.57878 | − | 34.0498i | 0.210153 | − | 1.99947i | ||||
\(291\) | −18.6798 | − | 1.67066i | −1.09503 | − | 0.0979357i | ||||
\(292\) | 31.0017 | − | 1.62473i | 1.81424 | − | 0.0950802i | ||||
\(293\) | 9.84303 | − | 7.97073i | 0.575036 | − | 0.465655i | −0.297149 | − | 0.954831i | \(-0.596036\pi\) |
0.872185 | + | 0.489176i | \(0.162702\pi\) | |||||||
\(294\) | 4.94815 | + | 21.6234i | 0.288582 | + | 1.26110i | ||||
\(295\) | −7.04322 | + | 1.49708i | −0.410072 | + | 0.0871635i | ||||
\(296\) | −1.80881 | + | 3.13294i | −0.105135 | + | 0.182099i | ||||
\(297\) | −17.1890 | + | 1.24077i | −0.997405 | + | 0.0719967i | ||||
\(298\) | − | 11.8970i | − | 0.689177i | ||||||
\(299\) | −3.39624 | − | 10.9842i | −0.196410 | − | 0.635232i | ||||
\(300\) | −10.0808 | − | 6.32628i | −0.582013 | − | 0.365248i | ||||
\(301\) | 13.7006 | + | 5.25915i | 0.789687 | + | 0.303132i | ||||
\(302\) | −0.467751 | + | 2.20059i | −0.0269160 | + | 0.126630i | ||||
\(303\) | −6.02130 | − | 2.20476i | −0.345915 | − | 0.126660i | ||||
\(304\) | 0.375121 | + | 2.36842i | 0.0215146 | + | 0.135838i | ||||
\(305\) | −17.1230 | + | 6.57292i | −0.980463 | + | 0.376364i | ||||
\(306\) | 8.07497 | + | 42.4170i | 0.461615 | + | 2.42482i | ||||
\(307\) | 1.57363 | − | 1.57363i | 0.0898119 | − | 0.0898119i | −0.660773 | − | 0.750585i | \(-0.729772\pi\) |
0.750585 | + | 0.660773i | \(0.229772\pi\) | |||||||
\(308\) | −23.3046 | + | 22.0851i | −1.32790 | + | 1.25841i | ||||
\(309\) | 3.93610 | − | 27.6193i | 0.223917 | − | 1.57121i | ||||
\(310\) | 12.0801 | + | 0.633091i | 0.686104 | + | 0.0359572i | ||||
\(311\) | 3.85455 | − | 2.80049i | 0.218571 | − | 0.158801i | −0.473112 | − | 0.881002i | \(-0.656869\pi\) |
0.691683 | + | 0.722201i | \(0.256869\pi\) | |||||||
\(312\) | 3.80952 | − | 8.58476i | 0.215672 | − | 0.486016i | ||||
\(313\) | 2.96895 | + | 9.13748i | 0.167815 | + | 0.516481i | 0.999233 | − | 0.0391669i | \(-0.0124704\pi\) |
−0.831418 | + | 0.555648i | \(0.812470\pi\) | |||||||
\(314\) | 6.25940 | − | 4.06490i | 0.353238 | − | 0.229396i | ||||
\(315\) | 27.4204 | + | 11.2020i | 1.54496 | + | 0.631164i | ||||
\(316\) | 2.53418 | − | 5.69186i | 0.142559 | − | 0.320192i | ||||
\(317\) | 7.94429 | + | 15.5916i | 0.446196 | + | 0.875709i | 0.999098 | + | 0.0424628i | \(0.0135204\pi\) |
−0.552902 | + | 0.833246i | \(0.686480\pi\) | |||||||
\(318\) | −52.9807 | + | 6.40129i | −2.97101 | + | 0.358966i | ||||
\(319\) | −15.7264 | + | 10.7927i | −0.880508 | + | 0.604273i | ||||
\(320\) | −23.8114 | − | 23.8114i | −1.33110 | − | 1.33110i | ||||
\(321\) | 9.84068 | − | 6.60998i | 0.549253 | − | 0.368933i | ||||
\(322\) | −24.6886 | + | 2.59488i | −1.37584 | + | 0.144607i | ||||
\(323\) | −6.98243 | − | 2.68030i | −0.388513 | − | 0.149136i | ||||
\(324\) | −6.50305 | − | 23.3590i | −0.361280 | − | 1.29772i | ||||
\(325\) | 9.13074 | + | 1.09180i | 0.506482 | + | 0.0605620i | ||||
\(326\) | −24.8717 | + | 34.2329i | −1.37751 | + | 1.89599i | ||||
\(327\) | 7.87024 | + | 2.42282i | 0.435225 | + | 0.133982i | ||||
\(328\) | −2.85825 | − | 3.17441i | −0.157821 | − | 0.175278i | ||||
\(329\) | 17.0287 | + | 29.4945i | 0.938821 | + | 1.62609i | ||||
\(330\) | 4.96657 | + | 33.8371i | 0.273401 | + | 1.86267i | ||||
\(331\) | 0.550058 | − | 2.05285i | 0.0302339 | − | 0.112835i | −0.949160 | − | 0.314795i | \(-0.898064\pi\) |
0.979394 | + | 0.201960i | \(0.0647311\pi\) | |||||||
\(332\) | −10.3384 | − | 6.71386i | −0.567395 | − | 0.368471i | ||||
\(333\) | −4.11622 | − | 5.92722i | −0.225568 | − | 0.324809i | ||||
\(334\) | −0.892781 | + | 8.49424i | −0.0488508 | + | 0.464784i | ||||
\(335\) | −26.4923 | − | 5.63112i | −1.44743 | − | 0.307661i | ||||
\(336\) | 10.8436 | + | 7.62403i | 0.591565 | + | 0.415925i | ||||
\(337\) | 11.8590 | − | 16.3225i | 0.646000 | − | 0.889143i | −0.352917 | − | 0.935654i | \(-0.614810\pi\) |
0.998918 | + | 0.0465113i | \(0.0148104\pi\) | |||||||
\(338\) | 0.669766 | + | 28.1578i | 0.0364305 | + | 1.53158i | ||||
\(339\) | −0.0167355 | − | 0.246166i | −0.000908948 | − | 0.0133699i | ||||
\(340\) | 47.5031 | − | 12.7284i | 2.57622 | − | 0.690295i | ||||
\(341\) | −4.09882 | − | 5.34923i | −0.221964 | − | 0.289677i | ||||
\(342\) | 7.02652 | + | 2.04425i | 0.379951 | + | 0.110541i | ||||
\(343\) | 3.48618 | − | 1.77630i | 0.188236 | − | 0.0959109i | ||||
\(344\) | −5.73435 | + | 2.20121i | −0.309176 | + | 0.118681i | ||||
\(345\) | −7.38332 | + | 13.2593i | −0.397505 | + | 0.713859i | ||||
\(346\) | −23.0163 | − | 11.7274i | −1.23737 | − | 0.630470i | ||||
\(347\) | −5.90190 | − | 5.31409i | −0.316830 | − | 0.285275i | 0.495336 | − | 0.868702i | \(-0.335045\pi\) |
−0.812166 | + | 0.583426i | \(0.801712\pi\) | |||||||
\(348\) | −19.2681 | − | 18.6791i | −1.03288 | − | 1.00130i | ||||
\(349\) | −15.1068 | − | 12.2333i | −0.808650 | − | 0.654832i | 0.133116 | − | 0.991100i | \(-0.457502\pi\) |
−0.941766 | + | 0.336269i | \(0.890835\pi\) | |||||||
\(350\) | 6.13563 | − | 18.8835i | 0.327963 | − | 1.00937i | ||||
\(351\) | 12.2540 | + | 14.1718i | 0.654068 | + | 0.756436i | ||||
\(352\) | −2.00069 | + | 25.2015i | −0.106637 | + | 1.34324i | ||||
\(353\) | −7.67730 | − | 28.6521i | −0.408621 | − | 1.52500i | −0.797278 | − | 0.603612i | \(-0.793727\pi\) |
0.388657 | − | 0.921383i | \(-0.372939\pi\) | |||||||
\(354\) | −4.32791 | + | 8.83016i | −0.230026 | + | 0.469318i | ||||
\(355\) | 3.58202 | − | 8.04536i | 0.190114 | − | 0.427003i | ||||
\(356\) | −43.0567 | + | 6.81951i | −2.28200 | + | 0.361433i | ||||
\(357\) | −37.5041 | + | 17.4003i | −1.98493 | + | 0.920921i | ||||
\(358\) | −1.25055 | − | 23.8618i | −0.0660934 | − | 1.26114i | ||||
\(359\) | −0.276297 | − | 1.74447i | −0.0145824 | − | 0.0920698i | 0.979324 | − | 0.202299i | \(-0.0648414\pi\) |
−0.993906 | + | 0.110230i | \(0.964841\pi\) | |||||||
\(360\) | −11.6662 | + | 4.19514i | −0.614862 | + | 0.221103i | ||||
\(361\) | 13.1778 | − | 11.8653i | 0.693567 | − | 0.624490i | ||||
\(362\) | −16.2466 | + | 4.35326i | −0.853902 | + | 0.228802i | ||||
\(363\) | 12.5469 | − | 14.3379i | 0.658543 | − | 0.752543i | ||||
\(364\) | 34.3927 | + | 5.95221i | 1.80266 | + | 0.311980i | ||||
\(365\) | 30.1129 | + | 9.78428i | 1.57618 | + | 0.512133i | ||||
\(366\) | −7.36976 | + | 23.9398i | −0.385224 | + | 1.25135i | ||||
\(367\) | −21.4657 | + | 9.55714i | −1.12050 | + | 0.498879i | −0.881520 | − | 0.472146i | \(-0.843480\pi\) |
−0.238980 | + | 0.971025i | \(0.576813\pi\) | |||||||
\(368\) | −4.54451 | + | 5.04719i | −0.236899 | + | 0.263103i | ||||
\(369\) | 8.15811 | − | 2.45974i | 0.424694 | − | 0.128049i | ||||
\(370\) | −11.1291 | + | 9.01219i | −0.578576 | + | 0.468522i | ||||
\(371\) | −18.3121 | − | 47.7045i | −0.950714 | − | 2.47670i | ||||
\(372\) | 6.23433 | − | 7.14384i | 0.323235 | − | 0.370391i | ||||
\(373\) | −0.658380 | − | 1.14035i | −0.0340896 | − | 0.0590450i | 0.848477 | − | 0.529232i | \(-0.177520\pi\) |
−0.882567 | + | 0.470187i | \(0.844187\pi\) | |||||||
\(374\) | −39.3220 | − | 27.0647i | −2.03329 | − | 1.39948i | ||||
\(375\) | 6.99810 | + | 9.32424i | 0.361380 | + | 0.481501i | ||||
\(376\) | −13.5570 | − | 4.40493i | −0.699148 | − | 0.227167i | ||||
\(377\) | 19.6267 | + | 6.68863i | 1.01083 | + | 0.344482i | ||||
\(378\) | 35.1493 | − | 20.0226i | 1.80789 | − | 1.02985i | ||||
\(379\) | 7.66439 | + | 11.8021i | 0.393693 | + | 0.606234i | 0.978824 | − | 0.204705i | \(-0.0656234\pi\) |
−0.585131 | + | 0.810939i | \(0.698957\pi\) | |||||||
\(380\) | 1.73289 | − | 8.15259i | 0.0888952 | − | 0.418219i | ||||
\(381\) | 1.72586 | + | 6.06301i | 0.0884187 | + | 0.310617i | ||||
\(382\) | 5.81755 | + | 0.921409i | 0.297652 | + | 0.0471434i | ||||
\(383\) | 7.57932 | − | 11.6711i | 0.387285 | − | 0.596367i | −0.590229 | − | 0.807236i | \(-0.700963\pi\) |
0.977514 | + | 0.210869i | \(0.0676293\pi\) | |||||||
\(384\) | −19.4426 | + | 2.34911i | −0.992174 | + | 0.119877i | ||||
\(385\) | −30.2623 | + | 12.5109i | −1.54231 | + | 0.637614i | ||||
\(386\) | 7.14761 | − | 4.12667i | 0.363804 | − | 0.210042i | ||||
\(387\) | 0.901940 | − | 12.2193i | 0.0458482 | − | 0.621142i | ||||
\(388\) | 22.6707 | + | 18.3583i | 1.15093 | + | 0.932003i | ||||
\(389\) | 24.3703 | + | 17.7060i | 1.23562 | + | 0.897732i | 0.997299 | − | 0.0734541i | \(-0.0234023\pi\) |
0.238323 | + | 0.971186i | \(0.423402\pi\) | |||||||
\(390\) | 26.2571 | − | 26.3218i | 1.32958 | − | 1.33286i | ||||
\(391\) | −6.54599 | − | 20.1465i | −0.331045 | − | 1.01885i | ||||
\(392\) | 3.18585 | − | 8.29943i | 0.160910 | − | 0.419184i | ||||
\(393\) | 11.0681 | + | 20.9135i | 0.558311 | + | 1.05495i | ||||
\(394\) | −10.2711 | − | 48.3216i | −0.517449 | − | 2.43441i | ||||
\(395\) | 4.49339 | − | 4.49339i | 0.226087 | − | 0.226087i | ||||
\(396\) | 23.2708 | + | 13.3061i | 1.16940 | + | 0.668655i | ||||
\(397\) | −3.14437 | − | 0.842531i | −0.157811 | − | 0.0422854i | 0.179048 | − | 0.983840i | \(-0.442698\pi\) |
−0.336860 | + | 0.941555i | \(0.609365\pi\) | |||||||
\(398\) | 2.46072 | − | 1.25380i | 0.123345 | − | 0.0628474i | ||||
\(399\) | −0.258073 | + | 7.00215i | −0.0129198 | + | 0.350546i | ||||
\(400\) | −2.20945 | − | 4.96251i | −0.110473 | − | 0.248125i | ||||
\(401\) | 9.39422 | + | 14.4658i | 0.469125 | + | 0.722389i | 0.991469 | − | 0.130346i | \(-0.0416088\pi\) |
−0.522343 | + | 0.852735i | \(0.674942\pi\) | |||||||
\(402\) | −28.3808 | + | 23.7210i | −1.41551 | + | 1.18310i | ||||
\(403\) | −1.99706 | + | 7.04866i | −0.0994804 | + | 0.351119i | ||||
\(404\) | 5.86259 | + | 8.06917i | 0.291675 | + | 0.401456i | ||||
\(405\) | 2.34581 | − | 24.6188i | 0.116564 | − | 1.22332i | ||||
\(406\) | 22.3854 | − | 38.7727i | 1.11097 | − | 1.92426i | ||||
\(407\) | 7.84335 | + | 1.45921i | 0.388780 | + | 0.0723304i | ||||
\(408\) | 6.79218 | − | 15.9158i | 0.336263 | − | 0.787948i | ||||
\(409\) | −23.3113 | − | 15.1386i | −1.15267 | − | 0.748554i | −0.180674 | − | 0.983543i | \(-0.557828\pi\) |
−0.971998 | + | 0.234989i | \(0.924495\pi\) | |||||||
\(410\) | −6.05977 | − | 15.7862i | −0.299271 | − | 0.779627i | ||||
\(411\) | 30.1778 | − | 18.0533i | 1.48856 | − | 0.890506i | ||||
\(412\) | −29.0369 | + | 32.2487i | −1.43054 | + | 1.58878i | ||||
\(413\) | −9.21014 | − | 1.95768i | −0.453201 | − | 0.0963309i | ||||
\(414\) | 8.02459 | + | 19.1098i | 0.394387 | + | 0.939197i | ||||
\(415\) | −7.39006 | − | 10.1715i | −0.362764 | − | 0.499301i | ||||
\(416\) | 23.2608 | − | 14.6375i | 1.14045 | − | 0.717663i | ||||
\(417\) | −11.4091 | − | 28.3964i | −0.558705 | − | 1.39058i | ||||
\(418\) | −7.11243 | + | 3.85546i | −0.347880 | + | 0.188577i | ||||
\(419\) | −25.8431 | − | 14.9205i | −1.26252 | − | 0.728914i | −0.288956 | − | 0.957342i | \(-0.593308\pi\) |
−0.973561 | + | 0.228428i | \(0.926641\pi\) | |||||||
\(420\) | −25.6900 | − | 38.2462i | −1.25354 | − | 1.86623i | ||||
\(421\) | 7.33880 | + | 1.16235i | 0.357671 | + | 0.0566496i | 0.332684 | − | 0.943038i | \(-0.392046\pi\) |
0.0249869 | + | 0.999688i | \(0.492046\pi\) | |||||||
\(422\) | 12.0911 | + | 14.9312i | 0.588583 | + | 0.726840i | ||||
\(423\) | 19.4727 | − | 20.7208i | 0.946797 | − | 1.00748i | ||||
\(424\) | 19.0561 | + | 9.70959i | 0.925448 | + | 0.471539i | ||||
\(425\) | 16.8501 | + | 1.77101i | 0.817349 | + | 0.0859068i | ||||
\(426\) | −5.62593 | − | 10.6304i | −0.272577 | − | 0.515043i | ||||
\(427\) | −23.9513 | − | 1.25523i | −1.15908 | − | 0.0607450i | ||||
\(428\) | −18.4394 | −0.891301 | ||||||||
\(429\) | −20.6494 | − | 1.61373i | −0.996960 | − | 0.0779114i | ||||
\(430\) | −24.3147 | −1.17256 | ||||||||
\(431\) | −0.609610 | − | 0.0319483i | −0.0293639 | − | 0.00153890i | 0.0376484 | − | 0.999291i | \(-0.488013\pi\) |
−0.0670122 | + | 0.997752i | \(0.521347\pi\) | |||||||
\(432\) | 3.48092 | − | 10.5055i | 0.167476 | − | 0.505445i | ||||
\(433\) | 6.99550 | + | 0.735257i | 0.336182 | + | 0.0353342i | 0.271116 | − | 0.962547i | \(-0.412607\pi\) |
0.0650665 | + | 0.997881i | \(0.479274\pi\) | |||||||
\(434\) | 14.0943 | + | 7.18139i | 0.676546 | + | 0.344718i | ||||
\(435\) | −11.5193 | − | 24.8284i | −0.552308 | − | 1.19043i | ||||
\(436\) | −8.06085 | − | 9.95432i | −0.386045 | − | 0.476726i | ||||
\(437\) | −3.54590 | − | 0.561615i | −0.169623 | − | 0.0268657i | ||||
\(438\) | 35.8954 | − | 24.1109i | 1.71515 | − | 1.15206i | ||||
\(439\) | −27.1201 | − | 15.6578i | −1.29437 | − | 0.747306i | −0.314947 | − | 0.949109i | \(-0.601987\pi\) |
−0.979426 | + | 0.201803i | \(0.935320\pi\) | |||||||
\(440\) | 5.90902 | − | 12.3668i | 0.281701 | − | 0.589564i | ||||
\(441\) | 12.2692 | + | 12.8038i | 0.584247 | + | 0.609705i | ||||
\(442\) | 1.97518 | + | 51.8568i | 0.0939499 | + | 2.46658i | ||||
\(443\) | 6.97378 | + | 9.59858i | 0.331334 | + | 0.456042i | 0.941885 | − | 0.335934i | \(-0.109052\pi\) |
−0.610551 | + | 0.791977i | \(0.709052\pi\) | |||||||
\(444\) | 0.174204 | + | 11.2234i | 0.00826736 | + | 0.532638i | ||||
\(445\) | −43.4902 | − | 9.24412i | −2.06163 | − | 0.438213i | ||||
\(446\) | −26.4760 | + | 29.4046i | −1.25368 | + | 1.39235i | ||||
\(447\) | −4.88270 | − | 8.16188i | −0.230944 | − | 0.386044i | ||||
\(448\) | −15.7806 | − | 41.1100i | −0.745565 | − | 1.94226i | ||||
\(449\) | 15.4803 | + | 10.0530i | 0.730561 | + | 0.474432i | 0.855546 | − | 0.517727i | \(-0.173222\pi\) |
−0.124985 | + | 0.992159i | \(0.539888\pi\) | |||||||
\(450\) | −16.5736 | − | 0.353391i | −0.781288 | − | 0.0166590i | ||||
\(451\) | −4.50056 | + | 8.27554i | −0.211923 | + | 0.389680i | ||||
\(452\) | −0.191893 | + | 0.332369i | −0.00902590 | + | 0.0156333i | ||||
\(453\) | 0.582256 | + | 1.70167i | 0.0273568 | + | 0.0799516i | ||||
\(454\) | 21.3319 | + | 29.3609i | 1.00116 | + | 1.37797i | ||||
\(455\) | 30.5723 | + | 18.2383i | 1.43325 | + | 0.855024i | ||||
\(456\) | −1.88078 | − | 2.25024i | −0.0880755 | − | 0.105377i | ||||
\(457\) | 14.3307 | + | 22.0673i | 0.670361 | + | 1.03226i | 0.996222 | + | 0.0868470i | \(0.0276791\pi\) |
−0.325861 | + | 0.945418i | \(0.605654\pi\) | |||||||
\(458\) | 14.8415 | + | 33.3345i | 0.693497 | + | 1.55762i | ||||
\(459\) | 22.9483 | + | 25.7858i | 1.07113 | + | 1.20358i | ||||
\(460\) | 21.0334 | − | 10.7171i | 0.980689 | − | 0.499686i | ||||
\(461\) | 32.0400 | + | 8.58510i | 1.49225 | + | 0.399848i | 0.910497 | − | 0.413515i | \(-0.135699\pi\) |
0.581756 | + | 0.813363i | \(0.302366\pi\) | |||||||
\(462\) | −12.0640 | + | 43.0637i | −0.561266 | + | 2.00350i | ||||
\(463\) | 16.4285 | − | 16.4285i | 0.763498 | − | 0.763498i | −0.213455 | − | 0.976953i | \(-0.568472\pi\) |
0.976953 | + | 0.213455i | \(0.0684717\pi\) | |||||||
\(464\) | −2.54664 | − | 11.9810i | −0.118225 | − | 0.556205i | ||||
\(465\) | 8.54730 | − | 4.52351i | 0.396372 | − | 0.209773i | ||||
\(466\) | −20.1859 | + | 52.5862i | −0.935095 | + | 2.43601i | ||||
\(467\) | 0.127121 | + | 0.391238i | 0.00588245 | + | 0.0181043i | 0.953955 | − | 0.299951i | \(-0.0969703\pi\) |
−0.948072 | + | 0.318055i | \(0.896970\pi\) | |||||||
\(468\) | −3.53117 | − | 28.9269i | −0.163228 | − | 1.33715i | ||||
\(469\) | −28.6529 | − | 20.8176i | −1.32307 | − | 0.961266i | ||||
\(470\) | −43.8527 | − | 35.5112i | −2.02277 | − | 1.63801i | ||||
\(471\) | 2.62593 | − | 5.35764i | 0.120996 | − | 0.246867i | ||||
\(472\) | 3.41302 | − | 1.97051i | 0.157097 | − | 0.0907000i | ||||
\(473\) | 8.79020 | + | 10.3062i | 0.404174 | + | 0.473880i | ||||
\(474\) | −1.04098 | − | 8.61579i | −0.0478140 | − | 0.395736i | ||||
\(475\) | 1.56390 | − | 2.40820i | 0.0717568 | − | 0.110496i | ||||
\(476\) | 63.5174 | + | 10.0602i | 2.91132 | + | 0.461107i | ||||
\(477\) | −33.7199 | + | 26.1356i | −1.54393 | + | 1.19667i | ||||
\(478\) | 8.61807 | − | 40.5448i | 0.394181 | − | 1.85448i | ||||
\(479\) | 21.9659 | + | 33.8245i | 1.00365 | + | 1.54548i | 0.827767 | + | 0.561071i | \(0.189611\pi\) |
0.175881 | + | 0.984411i | \(0.443723\pi\) | |||||||
\(480\) | −35.1832 | − | 8.84443i | −1.60589 | − | 0.403691i | ||||
\(481\) | −3.82661 | − | 7.78311i | −0.174478 | − | 0.354879i | ||||
\(482\) | 60.6396 | + | 19.7030i | 2.76206 | + | 0.897447i | ||||
\(483\) | −15.8725 | + | 11.9127i | −0.722222 | + | 0.542048i | ||||
\(484\) | −28.6362 | + | 7.63121i | −1.30165 | + | 0.346873i | ||||
\(485\) | 14.8764 | + | 25.7666i | 0.675501 | + | 1.17000i | ||||
\(486\) | −24.4769 | − | 23.2714i | −1.11029 | − | 1.05561i | ||||
\(487\) | 6.58870 | + | 17.1641i | 0.298562 | + | 0.777782i | 0.998008 | + | 0.0630954i | \(0.0200972\pi\) |
−0.699445 | + | 0.714686i | \(0.746569\pi\) | |||||||
\(488\) | 7.80141 | − | 6.31746i | 0.353153 | − | 0.285978i | ||||
\(489\) | −3.01339 | + | 33.6929i | −0.136270 | + | 1.52365i | ||||
\(490\) | 23.5475 | − | 26.1521i | 1.06377 | − | 1.18143i | ||||
\(491\) | 17.2065 | − | 7.66084i | 0.776520 | − | 0.345729i | 0.0200855 | − | 0.999798i | \(-0.493606\pi\) |
0.756435 | + | 0.654069i | \(0.226939\pi\) | |||||||
\(492\) | −12.6673 | − | 3.89956i | −0.571084 | − | 0.175806i | ||||
\(493\) | 36.3339 | + | 11.8056i | 1.63640 | + | 0.531698i | ||||
\(494\) | 7.98267 | + | 3.69167i | 0.359157 | + | 0.166096i | ||||
\(495\) | 17.2945 | + | 21.1754i | 0.777329 | + | 0.951761i | ||||
\(496\) | 4.18022 | − | 1.12009i | 0.187698 | − | 0.0502934i | ||||
\(497\) | 8.55823 | − | 7.70586i | 0.383889 | − | 0.345655i | ||||
\(498\) | −17.1588 | − | 0.632409i | −0.768904 | − | 0.0283389i | ||||
\(499\) | −0.268487 | − | 1.69516i | −0.0120191 | − | 0.0758858i | 0.980950 | − | 0.194262i | \(-0.0622312\pi\) |
−0.992969 | + | 0.118376i | \(0.962231\pi\) | |||||||
\(500\) | −0.949060 | − | 18.1091i | −0.0424433 | − | 0.809866i | ||||
\(501\) | 2.87367 | + | 6.19383i | 0.128386 | + | 0.276720i | ||||
\(502\) | 28.0572 | − | 4.44382i | 1.25225 | − | 0.198337i | ||||
\(503\) | 7.01841 | − | 15.7636i | 0.312935 | − | 0.702864i | −0.686776 | − | 0.726869i | \(-0.740975\pi\) |
0.999712 | + | 0.0240043i | \(0.00764153\pi\) | |||||||
\(504\) | −16.1678 | − | 1.19339i | −0.720171 | − | 0.0531578i | ||||
\(505\) | 2.63289 | + | 9.82608i | 0.117162 | + | 0.437255i | ||||
\(506\) | −21.1636 | − | 8.78316i | −0.940837 | − | 0.390459i | ||||
\(507\) | 12.0158 | + | 19.0426i | 0.533642 | + | 0.845711i | ||||
\(508\) | 3.03005 | − | 9.32552i | 0.134437 | − | 0.413753i | ||||
\(509\) | −5.48231 | − | 4.43949i | −0.242999 | − | 0.196777i | 0.500082 | − | 0.865978i | \(-0.333303\pi\) |
−0.743081 | + | 0.669201i | \(0.766636\pi\) | |||||||
\(510\) | 47.6798 | − | 49.1833i | 2.11130 | − | 2.17787i | ||||
\(511\) | 30.7691 | + | 27.7047i | 1.36115 | + | 1.22558i | ||||
\(512\) | −20.1735 | − | 10.2789i | −0.891550 | − | 0.454268i | ||||
\(513\) | 5.65948 | − | 1.48133i | 0.249872 | − | 0.0654024i | ||||
\(514\) | −5.66949 | + | 2.17631i | −0.250070 | + | 0.0959930i | ||||
\(515\) | −39.4353 | + | 20.0933i | −1.73773 | + | 0.885417i | ||||
\(516\) | −11.7625 | + | 14.9955i | −0.517816 | + | 0.660140i | ||||
\(517\) | 0.801468 | + | 31.4257i | 0.0352485 | + | 1.38210i | ||||
\(518\) | −18.0883 | + | 4.84675i | −0.794754 | + | 0.212954i | ||||
\(519\) | −20.6033 | + | 1.40071i | −0.904384 | + | 0.0614842i | ||||
\(520\) | −14.6172 | + | 2.88932i | −0.641005 | + | 0.126705i | ||||
\(521\) | −20.4804 | + | 28.1889i | −0.897264 | + | 1.23498i | 0.0740687 | + | 0.997253i | \(0.476402\pi\) |
−0.971333 | + | 0.237725i | \(0.923598\pi\) | |||||||
\(522\) | −36.3888 | − | 8.54932i | −1.59269 | − | 0.374194i | ||||
\(523\) | −7.03416 | − | 1.49516i | −0.307582 | − | 0.0653786i | 0.0515346 | − | 0.998671i | \(-0.483589\pi\) |
−0.359117 | + | 0.933293i | \(0.616922\pi\) | |||||||
\(524\) | 3.84717 | − | 36.6033i | 0.168064 | − | 1.59902i | ||||
\(525\) | −3.54075 | − | 15.4731i | −0.154531 | − | 0.675299i | ||||
\(526\) | 13.8092 | + | 8.96778i | 0.602108 | + | 0.391014i | ||||
\(527\) | −3.49356 | + | 13.0382i | −0.152182 | + | 0.567951i | ||||
\(528\) | 5.43067 | + | 10.9639i | 0.236340 | + | 0.477144i | ||||
\(529\) | 6.41589 | + | 11.1127i | 0.278952 | + | 0.483159i | ||||
\(530\) | 56.6502 | + | 62.9165i | 2.46073 | + | 2.73292i | ||||
\(531\) | 0.654887 | + | 7.83410i | 0.0284197 | + | 0.339971i | ||||
\(532\) | 6.40627 | − | 8.81748i | 0.277747 | − | 0.382286i | ||||
\(533\) | 10.1366 | − | 1.45733i | 0.439064 | − | 0.0631238i | ||||
\(534\) | −46.5903 | + | 38.9407i | −2.01616 | + | 1.68513i | ||||
\(535\) | −17.5575 | − | 6.73970i | −0.759078 | − | 0.291383i | ||||
\(536\) | 14.7425 | − | 1.54950i | 0.636780 | − | 0.0669283i | ||||
\(537\) | −10.6511 | − | 15.8570i | −0.459631 | − | 0.684280i | ||||
\(538\) | 0.485841 | + | 0.485841i | 0.0209461 | + | 0.0209461i | ||||
\(539\) | −19.5978 | − | 0.526559i | −0.844139 | − | 0.0226805i | ||||
\(540\) | −24.3811 | + | 29.7536i | −1.04919 | + | 1.28039i | ||||
\(541\) | 9.07421 | + | 17.8091i | 0.390131 | + | 0.765674i | 0.999632 | − | 0.0271102i | \(-0.00863050\pi\) |
−0.609502 | + | 0.792785i | \(0.708630\pi\) | |||||||
\(542\) | 4.63959 | − | 10.4207i | 0.199288 | − | 0.447607i | ||||
\(543\) | −9.35923 | + | 9.65435i | −0.401643 | + | 0.414308i | ||||
\(544\) | 42.4675 | − | 27.5787i | 1.82078 | − | 1.18243i | ||||
\(545\) | −4.03698 | − | 12.4246i | −0.172925 | − | 0.532210i | ||||
\(546\) | 45.3668 | − | 17.4788i | 1.94152 | − | 0.748024i | ||||
\(547\) | −2.40917 | + | 1.75037i | −0.103009 | + | 0.0748402i | −0.638097 | − | 0.769956i | \(-0.720278\pi\) |
0.535089 | + | 0.844796i | \(0.320278\pi\) | |||||||
\(548\) | −54.6240 | − | 2.86272i | −2.33342 | − | 0.122289i | ||||
\(549\) | 4.76924 | + | 19.4484i | 0.203546 | + | 0.830036i | ||||
\(550\) | 13.3025 | − | 12.6064i | 0.567222 | − | 0.537539i | ||||
\(551\) | 4.57830 | − | 4.57830i | 0.195042 | − | 0.195042i | ||||
\(552\) | 1.60069 | − | 8.15067i | 0.0681297 | − | 0.346916i | ||||
\(553\) | 7.75776 | − | 2.97793i | 0.329894 | − | 0.126634i | ||||
\(554\) | −2.99157 | − | 18.8880i | −0.127099 | − | 0.802474i | ||||
\(555\) | −3.93634 | + | 10.7503i | −0.167088 | + | 0.456325i | ||||
\(556\) | −9.89686 | + | 46.5611i | −0.419720 | + | 1.97463i | ||||
\(557\) | 4.24605 | + | 1.62991i | 0.179911 | + | 0.0690613i | 0.446656 | − | 0.894706i | \(-0.352615\pi\) |
−0.266745 | + | 0.963767i | \(0.585948\pi\) | |||||||
\(558\) | 2.34362 | − | 12.9973i | 0.0992133 | − | 0.550220i | ||||
\(559\) | 3.26715 | − | 14.3587i | 0.138186 | − | 0.607309i | ||||
\(560\) | − | 21.0292i | − | 0.888645i | ||||||
\(561\) | −38.0843 | − | 2.42931i | −1.60792 | − | 0.102565i | ||||
\(562\) | −32.1114 | + | 55.6186i | −1.35454 | + | 2.34613i | ||||
\(563\) | −1.26209 | + | 0.268266i | −0.0531908 | + | 0.0113060i | −0.234430 | − | 0.972133i | \(-0.575322\pi\) |
0.181239 | + | 0.983439i | \(0.441989\pi\) | |||||||
\(564\) | −43.1149 | + | 9.86612i | −1.81547 | + | 0.415438i | ||||
\(565\) | −0.304199 | + | 0.246336i | −0.0127977 | + | 0.0103634i | ||||
\(566\) | 46.8036 | − | 2.45287i | 1.96730 | − | 0.103102i | ||||
\(567\) | 15.8964 | − | 28.1621i | 0.667586 | − | 1.18270i | ||||
\(568\) | −0.503838 | + | 4.79370i | −0.0211406 | + | 0.201139i | ||||
\(569\) | 0.257244 | + | 2.44751i | 0.0107842 | + | 0.102605i | 0.998590 | − | 0.0530868i | \(-0.0169060\pi\) |
−0.987806 | + | 0.155692i | \(0.950239\pi\) | |||||||
\(570\) | −3.75842 | − | 10.9842i | −0.157423 | − | 0.460077i | ||||
\(571\) | 0.201651i | 0.00843881i | 0.999991 | + | 0.00421941i | \(0.00134308\pi\) | ||||
−0.999991 | + | 0.00421941i | \(0.998657\pi\) | |||||||
\(572\) | 25.2632 | + | 19.9931i | 1.05631 | + | 0.835953i | ||||
\(573\) | 4.36925 | − | 1.75547i | 0.182528 | − | 0.0733360i | ||||
\(574\) | 1.15724 | − | 22.0814i | 0.0483021 | − | 0.921660i | ||||
\(575\) | 8.08823 | − | 0.850107i | 0.337303 | − | 0.0354519i | ||||
\(576\) | −29.0585 | + | 22.5227i | −1.21077 | + | 0.938444i | ||||
\(577\) | 1.75249 | − | 3.43946i | 0.0729573 | − | 0.143187i | −0.851647 | − | 0.524116i | \(-0.824396\pi\) |
0.924604 | + | 0.380929i | \(0.124396\pi\) | |||||||
\(578\) | 3.07638 | + | 58.7008i | 0.127961 | + | 2.44163i | ||||
\(579\) | 3.20992 | − | 5.76455i | 0.133400 | − | 0.239567i | ||||
\(580\) | −6.66001 | + | 42.0497i | −0.276542 | + | 1.74602i | ||||
\(581\) | −3.41824 | − | 16.0816i | −0.141813 | − | 0.667176i | ||||
\(582\) | 40.2266 | + | 5.73280i | 1.66745 | + | 0.237632i | ||||
\(583\) | 6.18819 | − | 46.7576i | 0.256289 | − | 1.93650i | ||||
\(584\) | −17.3296 | −0.717103 | ||||||||
\(585\) | 7.21066 | − | 28.8342i | 0.298124 | − | 1.19215i | ||||
\(586\) | −22.2005 | + | 16.1296i | −0.917093 | + | 0.666307i | ||||
\(587\) | −15.8723 | + | 41.3488i | −0.655120 | + | 1.70665i | 0.0511386 | + | 0.998692i | \(0.483715\pi\) |
−0.706258 | + | 0.707954i | \(0.749618\pi\) | |||||||
\(588\) | −4.73731 | − | 27.1737i | −0.195364 | − | 1.12062i | ||||
\(589\) | 1.70004 | + | 1.53072i | 0.0700489 | + | 0.0630724i | ||||
\(590\) | 15.4087 | − | 2.44049i | 0.634364 | − | 0.100473i | ||||
\(591\) | −26.8782 | − | 28.9353i | −1.10562 | − | 1.19024i | ||||
\(592\) | −2.79034 | + | 4.29675i | −0.114682 | + | 0.176595i | ||||
\(593\) | 0.284422 | + | 0.284422i | 0.0116798 | + | 0.0116798i | 0.712923 | − | 0.701243i | \(-0.247371\pi\) |
−0.701243 | + | 0.712923i | \(0.747371\pi\) | |||||||
\(594\) | 37.3312 | − | 0.735488i | 1.53172 | − | 0.0301774i | ||||
\(595\) | 56.8027 | + | 32.7951i | 2.32869 | + | 1.34447i | ||||
\(596\) | −0.774251 | + | 14.7736i | −0.0317145 | + | 0.605150i | ||||
\(597\) | 1.17359 | − | 1.87008i | 0.0480317 | − | 0.0765371i | ||||
\(598\) | 6.10270 | + | 24.1508i | 0.249558 | + | 0.987599i | ||||
\(599\) | 6.47816 | − | 2.10488i | 0.264690 | − | 0.0860031i | −0.173665 | − | 0.984805i | \(-0.555561\pi\) |
0.438356 | + | 0.898802i | \(0.355561\pi\) | |||||||
\(600\) | 5.43477 | + | 3.82114i | 0.221873 | + | 0.155997i | ||||
\(601\) | 13.3938 | − | 5.96329i | 0.546343 | − | 0.243248i | −0.114955 | − | 0.993371i | \(-0.536672\pi\) |
0.661298 | + | 0.750123i | \(0.270006\pi\) | |||||||
\(602\) | −29.0466 | − | 12.9324i | −1.18385 | − | 0.527084i | ||||
\(603\) | −9.73505 | + | 27.9215i | −0.396442 | + | 1.13705i | ||||
\(604\) | 0.724060 | − | 2.70223i | 0.0294616 | − | 0.109952i | ||||
\(605\) | −30.0560 | − | 3.20046i | −1.22195 | − | 0.130117i | ||||
\(606\) | 12.7779 | + | 5.45305i | 0.519065 | + | 0.221515i | ||||
\(607\) | −5.69064 | + | 1.20958i | −0.230976 | + | 0.0490955i | −0.321945 | − | 0.946758i | \(-0.604337\pi\) |
0.0909695 | + | 0.995854i | \(0.471003\pi\) | |||||||
\(608\) | −0.897042 | − | 8.53479i | −0.0363799 | − | 0.346131i | ||||
\(609\) | −0.555469 | − | 35.7870i | −0.0225088 | − | 1.45016i | ||||
\(610\) | 37.7932 | − | 12.2798i | 1.53020 | − | 0.497193i | ||||
\(611\) | 26.8631 | − | 21.1250i | 1.08676 | − | 0.854625i | ||||
\(612\) | −7.26693 | − | 53.1983i | −0.293748 | − | 2.15042i | ||||
\(613\) | −21.0149 | + | 25.9513i | −0.848785 | + | 1.04816i | 0.149450 | + | 0.988769i | \(0.452250\pi\) |
−0.998235 | + | 0.0593929i | \(0.981084\pi\) | |||||||
\(614\) | −3.58319 | + | 3.22632i | −0.144606 | + | 0.130204i | ||||
\(615\) | −10.6361 | − | 8.34303i | −0.428891 | − | 0.336423i | ||||
\(616\) | 13.6365 | − | 11.6306i | 0.549432 | − | 0.468612i | ||||
\(617\) | 19.9235 | + | 5.33849i | 0.802091 | + | 0.214920i | 0.636502 | − | 0.771275i | \(-0.280381\pi\) |
0.165589 | + | 0.986195i | \(0.447047\pi\) | |||||||
\(618\) | −11.6480 | + | 59.3116i | −0.468552 | + | 2.38586i | ||||
\(619\) | −5.26106 | + | 33.2170i | −0.211460 | + | 1.33510i | 0.622214 | + | 0.782847i | \(0.286233\pi\) |
−0.833674 | + | 0.552257i | \(0.813767\pi\) | |||||||
\(620\) | −14.9597 | − | 1.57233i | −0.600796 | − | 0.0631463i | ||||
\(621\) | 13.3481 | + | 9.81676i | 0.535643 | + | 0.393933i | ||||
\(622\) | −8.65735 | + | 5.62215i | −0.347128 | + | 0.225428i | ||||
\(623\) | −47.0370 | − | 34.1744i | −1.88450 | − | 1.36917i | ||||
\(624\) | 6.02396 | − | 11.8588i | 0.241152 | − | 0.474731i | ||||
\(625\) | 9.65599 | − | 29.7181i | 0.386240 | − | 1.18872i | ||||
\(626\) | −5.38759 | − | 20.1068i | −0.215331 | − | 0.803627i | ||||
\(627\) | −3.29710 | + | 5.56404i | −0.131673 | + | 0.222207i | ||||
\(628\) | −8.03738 | + | 4.64038i | −0.320726 | + | 0.185171i | ||||
\(629\) | −7.25457 | − | 14.2379i | −0.289259 | − | 0.567702i | ||||
\(630\) | −58.0572 | − | 27.3463i | −2.31306 | − | 1.08950i | ||||
\(631\) | −12.0653 | − | 14.8994i | −0.480311 | − | 0.593135i | 0.478178 | − | 0.878263i | \(-0.341297\pi\) |
−0.958489 | + | 0.285128i | \(0.907964\pi\) | |||||||
\(632\) | −1.57898 | + | 3.09893i | −0.0628086 | + | 0.123269i | ||||
\(633\) | 14.4230 | + | 5.28112i | 0.573261 | + | 0.209906i | ||||
\(634\) | −15.4206 | − | 34.6351i | −0.612429 | − | 1.37554i | ||||
\(635\) | 6.29368 | − | 7.77204i | 0.249757 | − | 0.308424i | ||||
\(636\) | 66.2074 | − | 4.50108i | 2.62529 | − | 0.178480i | ||||
\(637\) | 12.2797 | + | 17.4196i | 0.486539 | + | 0.690191i | ||||
\(638\) | 35.2498 | − | 21.5681i | 1.39555 | − | 0.853888i | ||||
\(639\) | −8.22247 | − | 4.98392i | −0.325276 | − | 0.197161i | ||||
\(640\) | 20.7892 | + | 23.0887i | 0.821764 | + | 0.912661i | ||||
\(641\) | −25.8066 | − | 11.4898i | −1.01930 | − | 0.453821i | −0.172090 | − | 0.985081i | \(-0.555052\pi\) |
−0.847209 | + | 0.531260i | \(0.821719\pi\) | |||||||
\(642\) | −22.0411 | + | 13.1857i | −0.869892 | + | 0.520398i | ||||
\(643\) | −0.412851 | + | 0.0216366i | −0.0162813 | + | 0.000853265i | −0.0604748 | − | 0.998170i | \(-0.519261\pi\) |
0.0441936 | + | 0.999023i | \(0.485928\pi\) | |||||||
\(644\) | 30.8269 | − | 1.61557i | 1.21475 | − | 0.0636623i | ||||
\(645\) | −16.6809 | + | 9.97909i | −0.656812 | + | 0.392926i | ||||
\(646\) | 14.8035 | + | 6.59092i | 0.582434 | + | 0.259316i | ||||
\(647\) | −23.3638 | − | 25.9482i | −0.918527 | − | 1.02013i | −0.999725 | − | 0.0234293i | \(-0.992542\pi\) |
0.0811988 | − | 0.996698i | \(-0.474125\pi\) | |||||||
\(648\) | 2.94273 | + | 13.2116i | 0.115602 | + | 0.519001i | ||||
\(649\) | −6.60494 | − | 5.64895i | −0.259267 | − | 0.221741i | ||||
\(650\) | −19.6317 | − | 3.39759i | −0.770019 | − | 0.133264i | ||||
\(651\) | 12.6166 | − | 0.857735i | 0.494484 | − | 0.0336173i | ||||
\(652\) | 33.1132 | − | 40.8914i | 1.29681 | − | 1.60143i | ||||
\(653\) | 3.86026 | + | 8.67029i | 0.151064 | + | 0.339295i | 0.973187 | − | 0.230015i | \(-0.0738774\pi\) |
−0.822123 | + | 0.569309i | \(0.807211\pi\) | |||||||
\(654\) | −16.7535 | − | 6.13449i | −0.655115 | − | 0.239878i | ||||
\(655\) | 17.0419 | − | 33.4467i | 0.665883 | − | 1.30687i | ||||
\(656\) | −3.80705 | − | 4.70131i | −0.148640 | − | 0.183555i | ||||
\(657\) | 14.7303 | − | 31.2731i | 0.574685 | − | 1.22008i | ||||
\(658\) | −33.4993 | − | 65.7461i | −1.30594 | − | 2.56305i | ||||
\(659\) | −5.23266 | + | 3.02108i | −0.203835 | + | 0.117684i | −0.598443 | − | 0.801165i | \(-0.704214\pi\) |
0.394608 | + | 0.918850i | \(0.370880\pi\) | |||||||
\(660\) | −3.96533 | − | 42.3417i | −0.154350 | − | 1.64815i | ||||
\(661\) | −7.80153 | − | 29.1157i | −0.303444 | − | 1.13247i | −0.934276 | − | 0.356550i | \(-0.883953\pi\) |
0.630832 | − | 0.775920i | \(-0.282714\pi\) | |||||||
\(662\) | −1.42290 | + | 4.37922i | −0.0553024 | + | 0.170203i | ||||
\(663\) | 22.6378 | + | 34.7653i | 0.879179 | + | 1.35017i | ||||
\(664\) | 5.56709 | + | 4.04473i | 0.216045 | + | 0.156966i | ||||
\(665\) | 9.32274 | − | 6.05426i | 0.361520 | − | 0.234774i | ||||
\(666\) | 8.23388 | + | 13.2910i | 0.319057 | + | 0.515017i | ||||
\(667\) | 18.2378 | + | 1.91687i | 0.706169 | + | 0.0742214i | ||||
\(668\) | 1.66144 | − | 10.4899i | 0.0642832 | − | 0.405868i | ||||
\(669\) | −6.09564 | + | 31.0389i | −0.235671 | + | 1.20003i | ||||
\(670\) | 56.6810 | + | 15.1876i | 2.18978 | + | 0.586750i | ||||
\(671\) | −18.8679 | − | 11.5800i | −0.728387 | − | 0.447039i | ||||
\(672\) | −37.3260 | − | 29.2786i | −1.43988 | − | 1.12945i | ||||
\(673\) | 23.0173 | − | 20.7249i | 0.887253 | − | 0.798886i | −0.0931987 | − | 0.995648i | \(-0.529709\pi\) |
0.980451 | + | 0.196762i | \(0.0630425\pi\) | |||||||
\(674\) | −27.5093 | + | 33.9711i | −1.05962 | + | 1.30852i | ||||
\(675\) | −11.5153 | + | 6.55960i | −0.443222 | + | 0.252479i | ||||
\(676\) | 1.00078 | − | 35.0096i | 0.0384917 | − | 1.34652i | ||||
\(677\) | 33.7692 | − | 10.9723i | 1.29786 | − | 0.421699i | 0.423021 | − | 0.906120i | \(-0.360970\pi\) |
0.874835 | + | 0.484421i | \(0.160970\pi\) | |||||||
\(678\) | 0.00829641 | + | 0.534509i | 0.000318622 | + | 0.0205277i | ||||
\(679\) | 4.06684 | + | 38.6934i | 0.156071 | + | 1.48492i | ||||
\(680\) | −26.8528 | + | 5.70773i | −1.02976 | + | 0.218882i | ||||
\(681\) | 26.6847 | + | 11.3879i | 1.02256 | + | 0.436386i | ||||
\(682\) | 8.26177 | + | 12.0385i | 0.316359 | + | 0.460979i | ||||
\(683\) | −4.01812 | + | 14.9958i | −0.153749 | + | 0.573800i | 0.845460 | + | 0.534039i | \(0.179326\pi\) |
−0.999209 | + | 0.0397612i | \(0.987340\pi\) | |||||||
\(684\) | −8.59240 | − | 2.99581i | −0.328539 | − | 0.114548i | ||||
\(685\) | −50.9653 | − | 22.6912i | −1.94728 | − | 0.866987i | ||||
\(686\) | −7.74420 | + | 3.44794i | −0.295675 | + | 0.131643i | ||||
\(687\) | 23.8628 | + | 16.7778i | 0.910424 | + | 0.640112i | ||||
\(688\) | −8.27304 | + | 2.68807i | −0.315407 | + | 0.102482i | ||||
\(689\) | −44.7664 | + | 24.9999i | −1.70547 | + | 0.952422i | ||||
\(690\) | 17.4782 | − | 27.8511i | 0.665385 | − | 1.06027i | ||||
\(691\) | −1.50903 | + | 28.7941i | −0.0574064 | + | 1.09538i | 0.806340 | + | 0.591452i | \(0.201445\pi\) |
−0.863746 | + | 0.503927i | \(0.831888\pi\) | |||||||
\(692\) | 27.8182 | + | 16.0608i | 1.05749 | + | 0.610541i | ||||
\(693\) | 9.39750 | + | 34.4947i | 0.356982 | + | 1.31035i | ||||
\(694\) | 12.1669 | + | 12.1669i | 0.461851 | + | 0.461851i | ||||
\(695\) | −26.4419 | + | 40.7170i | −1.00300 | + | 1.54448i | ||||
\(696\) | 10.1954 | + | 10.9757i | 0.386456 | + | 0.416033i | ||||
\(697\) | 18.6360 | − | 2.95165i | 0.705889 | − | 0.111802i | ||||
\(698\) | 31.2984 | + | 28.1812i | 1.18466 | + | 1.06668i | ||||
\(699\) | 7.73364 | + | 44.3609i | 0.292513 | + | 1.67788i | ||||
\(700\) | −8.84807 | + | 23.0500i | −0.334426 | + | 0.871208i | ||||
\(701\) | −16.3952 | + | 11.9118i | −0.619239 | + | 0.449903i | −0.852656 | − | 0.522474i | \(-0.825009\pi\) |
0.233417 | + | 0.972377i | \(0.425009\pi\) | |||||||
\(702\) | −24.9061 | − | 32.0520i | −0.940019 | − | 1.20973i | ||||
\(703\) | −2.70818 | −0.102141 | ||||||||
\(704\) | 5.33275 | − | 40.2939i | 0.200986 | − | 1.51864i | ||||
\(705\) | −44.6591 | − | 6.36448i | −1.68196 | − | 0.239700i | ||||
\(706\) | 13.3619 | + | 62.8629i | 0.502883 | + | 2.36588i | ||||
\(707\) | −2.08096 | + | 13.1387i | −0.0782627 | + | 0.494131i | ||||
\(708\) | 5.94900 | − | 10.6835i | 0.223577 | − | 0.401511i | ||||
\(709\) | 0.979352 | + | 18.6872i | 0.0367803 | + | 0.701811i | 0.953337 | + | 0.301907i | \(0.0976232\pi\) |
−0.916557 | + | 0.399904i | \(0.869044\pi\) | |||||||
\(710\) | −8.66244 | + | 17.0010i | −0.325096 | + | 0.638036i | ||||
\(711\) | −4.25019 | − | 5.48357i | −0.159395 | − | 0.205650i | ||||
\(712\) | 24.2015 | − | 2.54368i | 0.906990 | − | 0.0953285i | ||||
\(713\) | −0.339097 | + | 6.47036i | −0.0126993 | + | 0.242317i | ||||
\(714\) | 83.1180 | − | 33.3951i | 3.11061 | − | 1.24978i | ||||
\(715\) | 16.7474 | + | 28.2708i | 0.626319 | + | 1.05727i | ||||
\(716\) | 29.7127i | 1.11042i | ||||||||
\(717\) | −10.7278 | − | 31.3525i | −0.400636 | − | 1.17088i | ||||
\(718\) | 0.399997 | + | 3.80572i | 0.0149278 | + | 0.142028i | ||||
\(719\) | 4.37375 | − | 41.6135i | 0.163114 | − | 1.55192i | −0.540503 | − | 0.841342i | \(-0.681766\pi\) |
0.703617 | − | 0.710580i | \(-0.251567\pi\) | |||||||
\(720\) | −16.8100 | + | 5.06836i | −0.626472 | + | 0.188887i | ||||
\(721\) | −57.7968 | + | 3.02900i | −2.15247 | + | 0.112806i | ||||
\(722\) | −29.8572 | + | 24.1779i | −1.11117 | + | 0.899808i | ||||
\(723\) | 49.6878 | − | 11.3702i | 1.84791 | − | 0.422862i | ||||
\(724\) | 20.4581 | − | 4.34851i | 0.760320 | − | 0.161611i | ||||
\(725\) | −7.33368 | + | 12.7023i | −0.272366 | + | 0.471752i | ||||
\(726\) | −28.7727 | + | 29.5991i | −1.06785 | + | 1.09853i | ||||
\(727\) | 5.42203i | 0.201092i | 0.994932 | + | 0.100546i | \(0.0320589\pi\) | ||||
−0.994932 | + | 0.100546i | \(0.967941\pi\) | |||||||
\(728\) | −18.9985 | − | 4.32288i | −0.704133 | − | 0.160217i | ||||
\(729\) | −26.3431 | − | 5.91953i | −0.975671 | − | 0.219242i | ||||
\(730\) | −64.0437 | − | 24.5841i | −2.37037 | − | 0.909898i | ||||
\(731\) | 5.64098 | − | 26.5387i | 0.208639 | − | 0.981569i | ||||
\(732\) | 10.7097 | − | 29.2485i | 0.395840 | − | 1.08106i | ||||
\(733\) | −6.83167 | − | 43.1335i | −0.252334 | − | 1.59317i | −0.710101 | − | 0.704100i | \(-0.751351\pi\) |
0.457768 | − | 0.889072i | \(-0.348649\pi\) | |||||||
\(734\) | 47.5275 | − | 18.2441i | 1.75427 | − | 0.673401i | ||||
\(735\) | 5.42140 | − | 27.6057i | 0.199971 | − | 1.01825i | ||||
\(736\) | 17.1871 | − | 17.1871i | 0.633523 | − | 0.633523i | ||||
\(737\) | −14.0536 | − | 29.5158i | −0.517672 | − | 1.08723i | ||||
\(738\) | −17.9300 | + | 4.39690i | −0.660013 | + | 0.161852i | ||||
\(739\) | −19.5554 | − | 1.02486i | −0.719358 | − | 0.0377000i | −0.310856 | − | 0.950457i | \(-0.600616\pi\) |
−0.408502 | + | 0.912757i | \(0.633949\pi\) | |||||||
\(740\) | 14.4065 | − | 10.4669i | 0.529594 | − | 0.384773i | ||||
\(741\) | 6.99156 | − | 0.743547i | 0.256841 | − | 0.0273149i | ||||
\(742\) | 34.2112 | + | 105.291i | 1.25593 | + | 3.86536i | ||||
\(743\) | 15.5995 | − | 10.1304i | 0.572290 | − | 0.371650i | −0.225813 | − | 0.974171i | \(-0.572504\pi\) |
0.798103 | + | 0.602521i | \(0.205837\pi\) | |||||||
\(744\) | −3.68408 | + | 3.80025i | −0.135065 | + | 0.139324i | ||||
\(745\) | −6.13706 | + | 13.7841i | −0.224844 | + | 0.505009i | ||||
\(746\) | 1.29518 | + | 2.54194i | 0.0474201 | + | 0.0930672i | ||||
\(747\) | −12.0312 | + | 6.60834i | −0.440199 | + | 0.241786i | ||||
\(748\) | 47.0681 | + | 36.1677i | 1.72098 | + | 1.32242i | ||||
\(749\) | −17.3897 | − | 17.3897i | −0.635406 | − | 0.635406i | ||||
\(750\) | −14.0840 | − | 20.9677i | −0.514275 | − | 0.765632i | ||||
\(751\) | 33.4129 | − | 3.51183i | 1.21925 | − | 0.128149i | 0.527039 | − | 0.849841i | \(-0.323302\pi\) |
0.692214 | + | 0.721693i | \(0.256636\pi\) | |||||||
\(752\) | −18.8467 | − | 7.23457i | −0.687268 | − | 0.263818i | ||||
\(753\) | 17.4246 | − | 14.5637i | 0.634988 | − | 0.530730i | ||||
\(754\) | −41.7065 | − | 16.6972i | −1.51886 | − | 0.608076i | ||||
\(755\) | 1.67711 | − | 2.30835i | 0.0610364 | − | 0.0840094i | ||||
\(756\) | −44.9510 | + | 22.5763i | −1.63485 | + | 0.821092i | ||||
\(757\) | −4.91515 | − | 5.45883i | −0.178644 | − | 0.198405i | 0.647172 | − | 0.762344i | \(-0.275952\pi\) |
−0.825816 | + | 0.563940i | \(0.809285\pi\) | |||||||
\(758\) | −15.2446 | − | 26.4045i | −0.553710 | − | 0.959054i | ||||
\(759\) | −18.1239 | + | 2.66020i | −0.657854 | + | 0.0965591i | ||||
\(760\) | −1.20419 | + | 4.49409i | −0.0436805 | + | 0.163018i | ||||
\(761\) | −3.72984 | − | 2.42219i | −0.135207 | − | 0.0878042i | 0.475263 | − | 0.879844i | \(-0.342353\pi\) |
−0.610470 | + | 0.792039i | \(0.709019\pi\) | |||||||
\(762\) | −3.04664 | − | 13.3138i | −0.110368 | − | 0.482308i | ||||
\(763\) | 1.78568 | − | 16.9896i | 0.0646461 | − | 0.615066i | ||||
\(764\) | −7.16419 | − | 1.52280i | −0.259191 | − | 0.0550928i | ||||
\(765\) | 12.5249 | − | 53.3103i | 0.452840 | − | 1.92744i | ||||
\(766\) | −17.7222 | + | 24.3926i | −0.640330 | + | 0.881339i | ||||
\(767\) | −0.629251 | + | 9.42728i | −0.0227209 | + | 0.340400i | ||||
\(768\) | −0.0220410 | + | 0.00149845i | −0.000795338 | + | 5.40707e-5i | ||||
\(769\) | 28.2608 | − | 7.57245i | 1.01911 | − | 0.273070i | 0.289679 | − | 0.957124i | \(-0.406452\pi\) |
0.729431 | + | 0.684054i | \(0.239785\pi\) | |||||||
\(770\) | 66.8950 | − | 23.6375i | 2.41073 | − | 0.851835i | ||||
\(771\) | −2.99632 | + | 3.81988i | −0.107910 | + | 0.137570i | ||||
\(772\) | −9.14437 | + | 4.65929i | −0.329113 | + | 0.167691i | ||||
\(773\) | −23.8651 | + | 9.16097i | −0.858370 | + | 0.329497i | −0.747439 | − | 0.664331i | \(-0.768717\pi\) |
−0.110931 | + | 0.993828i | \(0.535383\pi\) | |||||||
\(774\) | −3.33702 | + | 26.3357i | −0.119947 | + | 0.946618i | ||||
\(775\) | −4.61742 | − | 2.35269i | −0.165863 | − | 0.0845112i | ||||
\(776\) | −12.1016 | − | 10.8963i | −0.434421 | − | 0.391155i | ||||
\(777\) | −10.4202 | + | 10.7488i | −0.373822 | + | 0.385610i | ||||
\(778\) | −50.7205 | − | 41.0726i | −1.81842 | − | 1.47253i | ||||
\(779\) | 0.988163 | − | 3.04125i | 0.0354046 | − | 0.108964i | ||||
\(780\) | −34.3187 | + | 30.9773i | −1.22881 | + | 1.10917i | ||||
\(781\) | 10.3378 | − | 2.47443i | 0.369915 | − | 0.0885421i | ||||
\(782\) | 11.8787 | + | 44.3318i | 0.424780 | + | 1.58530i | ||||
\(783\) | −28.4730 | + | 9.06924i | −1.01754 | + | 0.324108i | ||||
\(784\) | 5.12078 | − | 11.5015i | 0.182885 | − | 0.410766i | ||||
\(785\) | −9.34909 | + | 1.48075i | −0.333683 | + | 0.0528502i | ||||
\(786\) | −21.5758 | − | 46.5040i | −0.769585 | − | 1.65874i | ||||
\(787\) | −0.957835 | − | 18.2766i | −0.0341431 | − | 0.651490i | −0.961080 | − | 0.276272i | \(-0.910901\pi\) |
0.926936 | − | 0.375218i | \(-0.122432\pi\) | |||||||
\(788\) | 9.60974 | + | 60.6735i | 0.342333 | + | 2.16140i | ||||
\(789\) | 13.1542 | + | 0.484814i | 0.468301 | + | 0.0172598i | ||||
\(790\) | −10.2315 | + | 9.21253i | −0.364022 | + | 0.327767i | ||||
\(791\) | −0.494418 | + | 0.132479i | −0.0175795 | + | 0.00471041i | ||||
\(792\) | −12.5837 | − | 8.09742i | −0.447144 | − | 0.287729i | ||||
\(793\) | 2.17339 | + | 23.9682i | 0.0771794 | + | 0.851137i | ||||
\(794\) | 6.70771 | + | 2.17947i | 0.238048 | + | 0.0773464i | ||||
\(795\) | 64.6863 | + | 19.9134i | 2.29418 | + | 0.706255i | ||||
\(796\) | −3.13729 | + | 1.39681i | −0.111198 | + | 0.0495087i | ||||
\(797\) | −5.32837 | + | 5.91776i | −0.188741 | + | 0.209618i | −0.830087 | − | 0.557634i | \(-0.811709\pi\) |
0.641347 | + | 0.767251i | \(0.278376\pi\) | |||||||
\(798\) | 1.35236 | − | 15.1208i | 0.0478729 | − | 0.535270i | ||||
\(799\) | 48.9331 | − | 39.6252i | 1.73113 | − | 1.40184i | ||||
\(800\) | 6.96691 | + | 18.1494i | 0.246318 | + | 0.641679i | ||||
\(801\) | −15.9812 | + | 45.8363i | −0.564667 | + | 1.61955i | ||||
\(802\) | −18.6853 | − | 32.3639i | −0.659801 | − | 1.14281i | ||||
\(803\) | 12.7325 | + | 36.0336i | 0.449321 | + | 1.27160i | ||||
\(804\) | 36.7867 | − | 27.6094i | 1.29737 | − | 0.973710i | ||||
\(805\) | 29.9431 | + | 9.72910i | 1.05536 | + | 0.342906i | ||||
\(806\) | 5.12014 | − | 15.0242i | 0.180349 | − | 0.529206i | ||||
\(807\) | 0.532704 | + | 0.133912i | 0.0187521 | + | 0.00471394i | ||||
\(808\) | −3.03240 | − | 4.66949i | −0.106680 | − | 0.164272i | ||||
\(809\) | −5.40740 | + | 25.4398i | −0.190114 | + | 0.894416i | 0.774873 | + | 0.632117i | \(0.217814\pi\) |
−0.964987 | + | 0.262299i | \(0.915519\pi\) | |||||||
\(810\) | −7.86700 | + | 52.9999i | −0.276418 | + | 1.86223i | ||||
\(811\) | 41.1642 | + | 6.51976i | 1.44547 | + | 0.228940i | 0.829357 | − | 0.558719i | \(-0.188707\pi\) |
0.616112 | + | 0.787659i | \(0.288707\pi\) | |||||||
\(812\) | −30.3212 | + | 46.6906i | −1.06407 | + | 1.63852i | ||||
\(813\) | −1.09383 | − | 9.05320i | −0.0383624 | − | 0.317510i | ||||
\(814\) | −16.8046 | − | 4.04656i | −0.589002 | − | 0.141832i | ||||
\(815\) | 46.4756 | − | 26.8327i | 1.62797 | − | 0.939909i | ||||
\(816\) | 10.7856 | − | 22.0057i | 0.377572 | − | 0.770354i | ||||
\(817\) | −3.57348 | − | 2.89375i | −0.125020 | − | 0.101239i | ||||
\(818\) | 48.7205 | + | 35.3975i | 1.70347 | + | 1.23765i | ||||
\(819\) | 23.9500 | − | 30.6104i | 0.836882 | − | 1.06961i | ||||
\(820\) | 6.49758 | + | 19.9975i | 0.226905 | + | 0.698343i | ||||
\(821\) | 6.94411 | − | 18.0900i | 0.242351 | − | 0.631346i | −0.757416 | − | 0.652933i | \(-0.773538\pi\) |
0.999767 | + | 0.0215866i | \(0.00687175\pi\) | |||||||
\(822\) | −67.3406 | + | 35.6388i | −2.34877 | + | 1.24305i | ||||
\(823\) | −5.38813 | − | 25.3492i | −0.187818 | − | 0.883616i | −0.966594 | − | 0.256313i | \(-0.917492\pi\) |
0.778775 | − | 0.627303i | \(-0.215841\pi\) | |||||||
\(824\) | 17.1290 | − | 17.1290i | 0.596715 | − | 0.596715i | ||||
\(825\) | 3.95227 | − | 14.1081i | 0.137600 | − | 0.491180i | ||||
\(826\) | 19.7053 | + | 5.28003i | 0.685636 | + | 0.183716i | ||||
\(827\) | −4.44181 | + | 2.26321i | −0.154457 | + | 0.0786997i | −0.529510 | − | 0.848303i | \(-0.677624\pi\) |
0.375054 | + | 0.927003i | \(0.377624\pi\) | |||||||
\(828\) | −8.72118 | − | 24.2526i | −0.303082 | − | 0.842835i | ||||
\(829\) | −12.1134 | − | 27.2072i | −0.420716 | − | 0.944945i | −0.992238 | − | 0.124357i | \(-0.960313\pi\) |
0.571521 | − | 0.820587i | \(-0.306354\pi\) | |||||||
\(830\) | 14.8360 | + | 22.8454i | 0.514964 | + | 0.792975i | ||||
\(831\) | −9.80423 | − | 11.7302i | −0.340105 | − | 0.406916i | ||||
\(832\) | −38.5781 | + | 21.5440i | −1.33745 | + | 0.746904i | ||||
\(833\) | 23.0812 | + | 31.7685i | 0.799715 | + | 1.10071i | ||||
\(834\) | 21.4651 | + | 62.7328i | 0.743276 | + | 2.17226i | ||||
\(835\) | 5.41612 | − | 9.38100i | 0.187433 | − | 0.324643i | ||||
\(836\) | 9.08303 | − | 4.32478i | 0.314143 | − | 0.149576i | ||||
\(837\) | −3.72644 | − | 9.87856i | −0.128805 | − | 0.341453i | ||||
\(838\) | 54.2229 | + | 35.2128i | 1.87310 | + | 1.21641i | ||||
\(839\) | −6.30439 | − | 16.4235i | −0.217652 | − | 0.567002i | 0.780668 | − | 0.624946i | \(-0.214879\pi\) |
−0.998320 | + | 0.0579437i | \(0.981546\pi\) | |||||||
\(840\) | 13.2037 | + | 22.0712i | 0.455571 | + | 0.761528i | ||||
\(841\) | −2.72521 | + | 3.02665i | −0.0939727 | + | 0.104367i | ||||
\(842\) | −15.7466 | − | 3.34705i | −0.542665 | − | 0.115347i | ||||
\(843\) | 0.796810 | + | 51.3357i | 0.0274436 | + | 1.76810i | ||||
\(844\) | −14.0428 | − | 19.3283i | −0.483373 | − | 0.665306i | ||||
\(845\) | 13.7491 | − | 32.9695i | 0.472985 | − | 1.13418i | ||||
\(846\) | −44.4813 | + | 42.6240i | −1.52930 | + | 1.46544i | ||||
\(847\) | −34.2029 | − | 19.8093i | −1.17522 | − | 0.680655i | ||||
\(848\) | 26.2308 | + | 15.1443i | 0.900768 | + | 0.520059i | ||||
\(849\) | 31.1026 | − | 20.8916i | 1.06744 | − | 0.716998i | ||||
\(850\) | −36.2565 | − | 5.74246i | −1.24359 | − | 0.196965i | ||||
\(851\) | −4.82712 | − | 5.96100i | −0.165472 | − | 0.204340i | ||||
\(852\) | 6.29439 | + | 13.5668i | 0.215642 | + | 0.464790i | ||||
\(853\) | −21.0802 | − | 10.7409i | −0.721773 | − | 0.367762i | 0.0541980 | − | 0.998530i | \(-0.482740\pi\) |
−0.775971 | + | 0.630768i | \(0.782740\pi\) | |||||||
\(854\) | 51.6793 | + | 5.43172i | 1.76843 | + | 0.185870i | ||||
\(855\) | −7.08649 | − | 5.99311i | −0.242353 | − | 0.204960i | ||||
\(856\) | 10.2792 | + | 0.538708i | 0.351334 | + | 0.0184127i | ||||
\(857\) | −5.54886 | −0.189545 | −0.0947726 | − | 0.995499i | \(-0.530212\pi\) | ||||
−0.0947726 | + | 0.995499i | \(0.530212\pi\) | |||||||
\(858\) | 44.4945 | + | 5.83295i | 1.51902 | + | 0.199134i | ||||
\(859\) | −6.30685 | −0.215187 | −0.107593 | − | 0.994195i | \(-0.534314\pi\) | ||||
−0.107593 | + | 0.994195i | \(0.534314\pi\) | |||||||
\(860\) | 30.1937 | + | 1.58238i | 1.02960 | + | 0.0539589i | ||||
\(861\) | −8.26859 | − | 15.6237i | −0.281793 | − | 0.532455i | ||||
\(862\) | 1.31535 | + | 0.138249i | 0.0448009 | + | 0.00470876i | ||||
\(863\) | −23.7057 | − | 12.0787i | −0.806952 | − | 0.411162i | 0.00130042 | − | 0.999999i | \(-0.499586\pi\) |
−0.808252 | + | 0.588837i | \(0.799586\pi\) | |||||||
\(864\) | −14.4082 | + | 36.8937i | −0.490177 | + | 1.25515i | ||||
\(865\) | 20.6175 | + | 25.4605i | 0.701015 | + | 0.865682i | ||||
\(866\) | −15.0523 | − | 2.38405i | −0.511497 | − | 0.0810132i | ||||
\(867\) | 26.2021 | + | 39.0087i | 0.889871 | + | 1.32481i | ||||
\(868\) | −17.0347 | − | 9.83499i | −0.578196 | − | 0.333821i | ||||
\(869\) | 7.60377 | + | 1.00633i | 0.257940 | + | 0.0341374i | ||||
\(870\) | 22.1081 | + | 55.0256i | 0.749536 | + | 1.86554i | ||||
\(871\) | −16.5850 | + | 31.4314i | −0.561962 | + | 1.06501i | ||||
\(872\) | 4.20276 | + | 5.78461i | 0.142323 | + | 0.195891i | ||||
\(873\) | 29.9500 | − | 12.5766i | 1.01365 | − | 0.425653i | ||||
\(874\) | 7.60833 | + | 1.61720i | 0.257355 | + | 0.0547026i | ||||
\(875\) | 16.1832 | − | 17.9733i | 0.547093 | − | 0.607608i | ||||
\(876\) | −46.1435 | + | 27.6046i | −1.55904 | + | 0.932672i | ||||
\(877\) | 18.0272 | + | 46.9625i | 0.608735 | + | 1.58581i | 0.797190 | + | 0.603728i | \(0.206319\pi\) |
−0.188455 | + | 0.982082i | \(0.560348\pi\) | |||||||
\(878\) | 56.9024 | + | 36.9529i | 1.92036 | + | 1.24710i | ||||
\(879\) | −8.61068 | + | 20.1770i | −0.290431 | + | 0.680552i | ||||
\(880\) | 9.27353 | − | 17.0520i | 0.312610 | − | 0.574822i | ||||
\(881\) | −15.7334 | + | 27.2511i | −0.530073 | + | 0.918113i | 0.469312 | + | 0.883033i | \(0.344502\pi\) |
−0.999384 | + | 0.0350805i | \(0.988831\pi\) | |||||||
\(882\) | −25.0941 | − | 29.0939i | −0.844963 | − | 0.979642i | ||||
\(883\) | −17.0989 | − | 23.5346i | −0.575422 | − | 0.792001i | 0.417762 | − | 0.908557i | \(-0.362815\pi\) |
−0.993184 | + | 0.116556i | \(0.962815\pi\) | |||||||
\(884\) | 0.922047 | − | 64.5236i | 0.0310118 | − | 2.17016i | ||||
\(885\) | 9.56939 | − | 7.99820i | 0.321672 | − | 0.268857i | ||||
\(886\) | −14.0003 | − | 21.5585i | −0.470348 | − | 0.724273i | ||||
\(887\) | −8.12507 | − | 18.2492i | −0.272813 | − | 0.612748i | 0.724233 | − | 0.689556i | \(-0.242194\pi\) |
−0.997046 | + | 0.0768072i | \(0.975527\pi\) | |||||||
\(888\) | 0.230780 | − | 6.26164i | 0.00774448 | − | 0.210127i | ||||
\(889\) | 11.6522 | − | 5.93710i | 0.390803 | − | 0.199124i | ||||
\(890\) | 93.0483 | + | 24.9322i | 3.11899 | + | 0.835730i | ||||
\(891\) | 25.3090 | − | 15.8258i | 0.847882 | − | 0.530185i | ||||
\(892\) | 34.7912 | − | 34.7912i | 1.16490 | − | 1.16490i | ||||
\(893\) | −2.21867 | − | 10.4380i | −0.0742449 | − | 0.349295i | ||||
\(894\) | 9.63887 | + | 18.2129i | 0.322372 | + | 0.609131i | ||||
\(895\) | −10.8602 | + | 28.2917i | −0.363016 | + | 0.945688i | ||||
\(896\) | 12.5546 | + | 38.6392i | 0.419421 | + | 1.29084i | ||||
\(897\) | 14.0985 | + | 14.0639i | 0.470736 | + | 0.469578i | ||||
\(898\) | −32.3537 | − | 23.5063i | −1.07966 | − | 0.784416i | ||||
\(899\) | −9.08112 | − | 7.35375i | −0.302872 | − | 0.245261i | ||||
\(900\) | 20.5579 | + | 1.51744i | 0.685264 | + | 0.0505812i | ||||
\(901\) | −81.8140 | + | 47.2353i | −2.72562 | + | 1.57364i | ||||
\(902\) | 10.6759 | − | 17.3949i | 0.355469 | − | 0.579185i | ||||
\(903\) | −25.2348 | + | 3.04894i | −0.839762 | + | 0.101462i | ||||
\(904\) | 0.116682 | − | 0.179675i | 0.00388080 | − | 0.00597591i | ||||
\(905\) | 21.0691 | + | 3.33702i | 0.700362 | + | 0.110926i | ||||
\(906\) | −1.06683 | − | 3.74781i | −0.0354431 | − | 0.124513i | ||||
\(907\) | −3.97934 | + | 18.7213i | −0.132132 | + | 0.621632i | 0.861385 | + | 0.507952i | \(0.169597\pi\) |
−0.993517 | + | 0.113680i | \(0.963736\pi\) | |||||||
\(908\) | −24.5789 | − | 37.8482i | −0.815680 | − | 1.25604i | ||||
\(909\) | 11.0042 | − | 1.50318i | 0.364985 | − | 0.0498572i | ||||
\(910\) | −64.0790 | − | 42.9275i | −2.12420 | − | 1.42303i | ||||
\(911\) | −42.6725 | − | 13.8651i | −1.41380 | − | 0.459372i | −0.500174 | − | 0.865925i | \(-0.666731\pi\) |
−0.913627 | + | 0.406553i | \(0.866731\pi\) | |||||||
\(912\) | −2.49313 | − | 3.32184i | −0.0825559 | − | 0.109997i | ||||
\(913\) | 4.31995 | − | 14.5475i | 0.142970 | − | 0.481452i | ||||
\(914\) | −28.5040 | − | 49.3704i | −0.942829 | − | 1.63303i | ||||
\(915\) | 20.8880 | − | 23.9353i | 0.690536 | − | 0.791276i | ||||
\(916\) | −16.2606 | − | 42.3602i | −0.537264 | − | 1.39962i | ||||
\(917\) | 38.1478 | − | 30.8915i | 1.25975 | − | 1.02013i | ||||
\(918\) | −46.7276 | − | 58.3930i | −1.54224 | − | 1.92726i | ||||
\(919\) | −10.5392 | + | 11.7050i | −0.347656 | + | 0.386112i | −0.891459 | − | 0.453102i | \(-0.850317\pi\) |
0.543802 | + | 0.839213i | \(0.316984\pi\) | |||||||
\(920\) | −12.0383 | + | 5.35982i | −0.396892 | + | 0.176708i | ||||
\(921\) | −1.13410 | + | 3.68398i | −0.0373698 | + | 0.121391i | ||||
\(922\) | −68.3493 | − | 22.2080i | −2.25096 | − | 0.731382i | ||||
\(923\) | −8.87572 | − | 7.39989i | −0.292148 | − | 0.243570i | ||||
\(924\) | 17.7834 | − | 52.6908i | 0.585031 | − | 1.73340i | ||||
\(925\) | 5.92591 | − | 1.58784i | 0.194843 | − | 0.0522079i | ||||
\(926\) | −37.4080 | + | 33.6824i | −1.22930 | + | 1.10687i | ||||
\(927\) | 16.3512 | + | 45.4708i | 0.537044 | + | 1.49346i | ||||
\(928\) | 6.85744 | + | 43.2962i | 0.225106 | + | 1.42127i | ||||
\(929\) | −1.75500 | − | 33.4873i | −0.0575796 | − | 1.09868i | −0.862747 | − | 0.505636i | \(-0.831258\pi\) |
0.805167 | − | 0.593048i | \(-0.202076\pi\) | |||||||
\(930\) | −19.0061 | + | 8.81800i | −0.623235 | + | 0.289154i | ||||
\(931\) | 6.57314 | − | 1.04108i | 0.215426 | − | 0.0341201i | ||||
\(932\) | 28.4889 | − | 63.9871i | 0.933185 | − | 2.09597i | ||||
\(933\) | −3.63191 | + | 7.41013i | −0.118903 | + | 0.242597i | ||||
\(934\) | −0.230679 | − | 0.860907i | −0.00754806 | − | 0.0281698i | ||||
\(935\) | 31.5977 | + | 51.6417i | 1.03335 | + | 1.68886i | ||||
\(936\) | 1.12337 | + | 16.2287i | 0.0367186 | + | 0.530450i | ||||
\(937\) | 12.6791 | − | 39.0224i | 0.414210 | − | 1.27481i | −0.498746 | − | 0.866748i | \(-0.666206\pi\) |
0.912956 | − | 0.408058i | \(-0.133794\pi\) | |||||||
\(938\) | 59.6337 | + | 48.2904i | 1.94711 | + | 1.57674i | ||||
\(939\) | −11.9482 | − | 11.5830i | −0.389915 | − | 0.377996i | ||||
\(940\) | 52.1447 | + | 46.9513i | 1.70077 | + | 1.53138i | ||||
\(941\) | 10.1670 | + | 5.18037i | 0.331436 | + | 0.168875i | 0.611787 | − | 0.791022i | \(-0.290451\pi\) |
−0.280351 | + | 0.959898i | \(0.590451\pi\) | |||||||
\(942\) | −6.28903 | + | 11.2942i | −0.204908 | + | 0.367984i | ||||
\(943\) | 8.45544 | − | 3.24574i | 0.275347 | − | 0.105696i | ||||
\(944\) | 4.97296 | − | 2.53385i | 0.161856 | − | 0.0824699i | ||||
\(945\) | −51.0530 | + | 5.06674i | −1.66076 | + | 0.164821i | ||||
\(946\) | −17.8501 | − | 23.2956i | −0.580356 | − | 0.757404i | ||||
\(947\) | 5.45814 | − | 1.46250i | 0.177366 | − | 0.0475250i | −0.169043 | − | 0.985609i | \(-0.554068\pi\) |
0.346409 | + | 0.938084i | \(0.387401\pi\) | |||||||
\(948\) | 0.731971 | + | 10.7667i | 0.0237733 | + | 0.349687i | ||||
\(949\) | 23.1233 | − | 34.5168i | 0.750613 | − | 1.12046i | ||||
\(950\) | −3.65677 | + | 5.03312i | −0.118641 | + | 0.163296i | ||||
\(951\) | −24.7939 | − | 17.4324i | −0.803997 | − | 0.565284i | ||||
\(952\) | −35.1143 | − | 7.46378i | −1.13806 | − | 0.241903i | ||||
\(953\) | −2.46063 | + | 23.4113i | −0.0797076 | + | 0.758367i | 0.879545 | + | 0.475816i | \(0.157847\pi\) |
−0.959252 | + | 0.282551i | \(0.908819\pi\) | |||||||
\(954\) | 75.9208 | − | 52.7241i | 2.45803 | − | 1.70701i | ||||
\(955\) | −6.26498 | − | 4.06853i | −0.202730 | − | 0.131654i | ||||
\(956\) | −13.3404 | + | 49.7872i | −0.431460 | + | 1.61023i | ||||
\(957\) | 15.3311 | − | 29.2636i | 0.495583 | − | 0.945959i | ||||
\(958\) | −43.6907 | − | 75.6745i | −1.41158 | − | 2.44493i | ||||
\(959\) | −48.8147 | − | 54.2142i | −1.57631 | − | 1.75067i | ||||
\(960\) | 55.7442 | + | 17.1606i | 1.79914 | + | 0.553856i | ||||
\(961\) | −15.7946 | + | 21.7394i | −0.509504 | + | 0.701271i | ||||
\(962\) | 7.39682 | + | 17.2737i | 0.238483 | + | 0.556925i | ||||
\(963\) | −9.70954 | + | 18.0919i | −0.312886 | + | 0.583004i | ||||
\(964\) | −74.0192 | − | 28.4133i | −2.38400 | − | 0.915131i | ||||
\(965\) | −10.4100 | + | 1.09414i | −0.335111 | + | 0.0352216i | ||||
\(966\) | 35.6929 | − | 23.9749i | 1.14840 | − | 0.771381i | ||||
\(967\) | −21.4145 | − | 21.4145i | −0.688644 | − | 0.688644i | 0.273288 | − | 0.961932i | \(-0.411889\pi\) |
−0.961932 | + | 0.273288i | \(0.911889\pi\) | |||||||
\(968\) | 16.1864 | − | 3.41746i | 0.520251 | − | 0.109841i | ||||
\(969\) | 12.8608 | − | 1.55388i | 0.413149 | − | 0.0499178i | ||||
\(970\) | −29.2652 | − | 57.4363i | −0.939650 | − | 1.84417i | ||||
\(971\) | 10.7118 | − | 24.0592i | 0.343759 | − | 0.772095i | −0.656090 | − | 0.754683i | \(-0.727791\pi\) |
0.999848 | − | 0.0174119i | \(-0.00554265\pi\) | |||||||
\(972\) | 28.8806 | + | 30.4911i | 0.926346 | + | 0.978001i | ||||
\(973\) | −53.2440 | + | 34.5771i | −1.70693 | + | 1.10849i | ||||
\(974\) | −12.3092 | − | 37.8839i | −0.394413 | − | 1.21388i | ||||
\(975\) | −14.8626 | + | 5.72623i | −0.475985 | + | 0.183386i | ||||
\(976\) | 11.5015 | − | 8.35633i | 0.368154 | − | 0.267480i | ||||
\(977\) | 18.8242 | + | 0.986537i | 0.602241 | + | 0.0315621i | 0.351020 | − | 0.936368i | \(-0.385835\pi\) |
0.251220 | + | 0.967930i | \(0.419168\pi\) | |||||||
\(978\) | 10.3403 | − | 72.5573i | 0.330647 | − | 2.32013i | ||||
\(979\) | −23.0706 | − | 48.4536i | −0.737341 | − | 1.54858i | ||||
\(980\) | −30.9429 | + | 30.9429i | −0.988434 | + | 0.988434i | ||||
\(981\) | −14.0113 | + | 2.66735i | −0.447347 | + | 0.0851620i | ||||
\(982\) | −38.0972 | + | 14.6242i | −1.21573 | + | 0.466675i | ||||
\(983\) | 1.80818 | + | 11.4164i | 0.0576719 | + | 0.364126i | 0.999599 | + | 0.0283091i | \(0.00901227\pi\) |
−0.941927 | + | 0.335817i | \(0.890988\pi\) | |||||||
\(984\) | 6.94752 | + | 2.54391i | 0.221479 | + | 0.0810969i | ||||
\(985\) | −13.0264 | + | 61.2843i | −0.415055 | + | 1.95268i | ||||
\(986\) | −77.2744 | − | 29.6629i | −2.46092 | − | 0.944658i | ||||
\(987\) | −49.9650 | − | 31.3561i | −1.59040 | − | 0.998075i | ||||
\(988\) | −9.67252 | − | 5.10378i | −0.307724 | − | 0.162373i | ||||
\(989\) | − | 13.0235i | − | 0.414123i | ||||||
\(990\) | −35.0177 | − | 47.7766i | −1.11294 | − | 1.51844i | ||||
\(991\) | 25.5827 | − | 44.3105i | 0.812661 | − | 1.40757i | −0.0983344 | − | 0.995153i | \(-0.531351\pi\) |
0.910995 | − | 0.412417i | \(-0.135315\pi\) | |||||||
\(992\) | −15.1496 | + | 3.22014i | −0.480999 | + | 0.102240i | ||||
\(993\) | 0.821124 | + | 3.58831i | 0.0260576 | + | 0.113872i | ||||
\(994\) | −19.3906 | + | 15.7022i | −0.615033 | + | 0.498044i | ||||
\(995\) | −3.49780 | + | 0.183312i | −0.110888 | + | 0.00581137i | ||||
\(996\) | 21.2664 | + | 1.90200i | 0.673852 | + | 0.0602671i | ||||
\(997\) | −2.44068 | + | 23.2216i | −0.0772973 | + | 0.735434i | 0.885396 | + | 0.464838i | \(0.153887\pi\) |
−0.962693 | + | 0.270596i | \(0.912779\pi\) | |||||||
\(998\) | 0.388690 | + | 3.69814i | 0.0123038 | + | 0.117063i | ||||
\(999\) | 11.1036 | + | 5.73892i | 0.351303 | + | 0.181571i |
(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 | 429.2.bv.a.20.7 | ✓ | 832 | |
3.2 | odd | 2 | inner | 429.2.bv.a.20.46 | yes | 832 | |
11.5 | even | 5 | inner | 429.2.bv.a.137.46 | yes | 832 | |
13.2 | odd | 12 | inner | 429.2.bv.a.119.7 | yes | 832 | |
33.5 | odd | 10 | inner | 429.2.bv.a.137.7 | yes | 832 | |
39.2 | even | 12 | inner | 429.2.bv.a.119.46 | yes | 832 | |
143.93 | odd | 60 | inner | 429.2.bv.a.236.46 | yes | 832 | |
429.236 | even | 60 | inner | 429.2.bv.a.236.7 | yes | 832 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bv.a.20.7 | ✓ | 832 | 1.1 | even | 1 | trivial | |
429.2.bv.a.20.46 | yes | 832 | 3.2 | odd | 2 | inner | |
429.2.bv.a.119.7 | yes | 832 | 13.2 | odd | 12 | inner | |
429.2.bv.a.119.46 | yes | 832 | 39.2 | even | 12 | inner | |
429.2.bv.a.137.7 | yes | 832 | 33.5 | odd | 10 | inner | |
429.2.bv.a.137.46 | yes | 832 | 11.5 | even | 5 | inner | |
429.2.bv.a.236.7 | yes | 832 | 429.236 | even | 60 | inner | |
429.2.bv.a.236.46 | yes | 832 | 143.93 | odd | 60 | inner |