Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [529,2,Mod(118,529)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(529, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("529.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 529 = 23^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 529.c (of order \(11\), degree \(10\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.22408626693\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | 20.0.54296067514572573056640625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{20} - x^{19} + 2 x^{18} - 3 x^{17} + 5 x^{16} - 8 x^{15} + 13 x^{14} - 21 x^{13} + 34 x^{12} + \cdots + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 23) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 177.2 | ||
Root | \(1.55249 + 0.455853i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 529.177 |
Dual form | 529.2.c.o.266.2 |
$q$-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 \(\left(\mathbb{Z}/529\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.05959 | − | 1.22283i | 0.749241 | − | 0.864670i | −0.245253 | − | 0.969459i | \(-0.578871\pi\) |
0.994495 | + | 0.104789i | \(0.0334166\pi\) | |||||||
\(3\) | 1.88110 | − | 1.20891i | 1.08605 | − | 0.697964i | 0.130106 | − | 0.991500i | \(-0.458468\pi\) |
0.955948 | + | 0.293536i | \(0.0948320\pi\) | |||||||
\(4\) | −0.0879554 | − | 0.611743i | −0.0439777 | − | 0.305872i | ||||
\(5\) | −1.34431 | − | 2.94363i | −0.601194 | − | 1.31643i | −0.928436 | − | 0.371491i | \(-0.878847\pi\) |
0.327242 | − | 0.944941i | \(-0.393881\pi\) | |||||||
\(6\) | 0.514900 | − | 3.58121i | 0.210207 | − | 1.46202i | ||||
\(7\) | 1.18600 | − | 0.348241i | 0.448265 | − | 0.131623i | −0.0498055 | − | 0.998759i | \(-0.515860\pi\) |
0.498071 | + | 0.867136i | \(0.334042\pi\) | |||||||
\(8\) | 1.88110 | + | 1.20891i | 0.665069 | + | 0.427414i | ||||
\(9\) | 0.830830 | − | 1.81926i | 0.276943 | − | 0.606421i | ||||
\(10\) | −5.02397 | − | 1.47517i | −1.58872 | − | 0.466490i | ||||
\(11\) | 0.500269 | + | 0.577341i | 0.150837 | + | 0.174075i | 0.826139 | − | 0.563466i | \(-0.190532\pi\) |
−0.675303 | + | 0.737541i | \(0.735987\pi\) | |||||||
\(12\) | −0.904995 | − | 1.04442i | −0.261250 | − | 0.301498i | ||||
\(13\) | −2.87848 | − | 0.845198i | −0.798346 | − | 0.234416i | −0.142979 | − | 0.989726i | \(-0.545668\pi\) |
−0.655368 | + | 0.755310i | \(0.727486\pi\) | |||||||
\(14\) | 0.830830 | − | 1.81926i | 0.222049 | − | 0.486219i | ||||
\(15\) | −6.08737 | − | 3.91211i | −1.57175 | − | 1.01010i | ||||
\(16\) | 4.65748 | − | 1.36756i | 1.16437 | − | 0.341890i | ||||
\(17\) | −0.745170 | + | 5.18277i | −0.180730 | + | 1.25701i | 0.674311 | + | 0.738447i | \(0.264441\pi\) |
−0.855041 | + | 0.518560i | \(0.826468\pi\) | |||||||
\(18\) | −1.34431 | − | 2.94363i | −0.316857 | − | 0.693820i | ||||
\(19\) | 0.284630 | + | 1.97964i | 0.0652985 | + | 0.454161i | 0.996071 | + | 0.0885615i | \(0.0282270\pi\) |
−0.930772 | + | 0.365600i | \(0.880864\pi\) | |||||||
\(20\) | −1.68251 | + | 1.08128i | −0.376220 | + | 0.241782i | ||||
\(21\) | 1.80999 | − | 2.08884i | 0.394972 | − | 0.455822i | ||||
\(22\) | 1.23607 | 0.263531 | ||||||||
\(23\) | 0 | 0 | ||||||||
\(24\) | 5.00000 | 1.02062 | ||||||||
\(25\) | −3.58349 | + | 4.13556i | −0.716697 | + | 0.827113i | ||||
\(26\) | −4.08353 | + | 2.62433i | −0.800846 | + | 0.514673i | ||||
\(27\) | 0.318226 | + | 2.21331i | 0.0612426 | + | 0.425951i | ||||
\(28\) | −0.317349 | − | 0.694897i | −0.0599733 | − | 0.131323i | ||||
\(29\) | 0.426945 | − | 2.96946i | 0.0792816 | − | 0.551416i | −0.911007 | − | 0.412390i | \(-0.864694\pi\) |
0.990289 | − | 0.139025i | \(-0.0443969\pi\) | |||||||
\(30\) | −11.2339 | + | 3.29858i | −2.05103 | + | 0.602236i | ||||
\(31\) | −5.64330 | − | 3.62673i | −1.01357 | − | 0.651380i | −0.0752528 | − | 0.997164i | \(-0.523976\pi\) |
−0.938314 | + | 0.345785i | \(0.887613\pi\) | |||||||
\(32\) | 1.40492 | − | 3.07634i | 0.248357 | − | 0.543826i | ||||
\(33\) | 1.63901 | + | 0.481257i | 0.285315 | + | 0.0837760i | ||||
\(34\) | 5.54807 | + | 6.40281i | 0.951486 | + | 1.09807i | ||||
\(35\) | −2.61944 | − | 3.02300i | −0.442767 | − | 0.510980i | ||||
\(36\) | −1.18600 | − | 0.348241i | −0.197666 | − | 0.0580401i | ||||
\(37\) | 1.34431 | − | 2.94363i | 0.221003 | − | 0.483930i | −0.766358 | − | 0.642413i | \(-0.777933\pi\) |
0.987362 | + | 0.158484i | \(0.0506605\pi\) | |||||||
\(38\) | 2.72235 | + | 1.74955i | 0.441624 | + | 0.283815i | ||||
\(39\) | −6.43647 | + | 1.88992i | −1.03066 | + | 0.302629i | ||||
\(40\) | 1.02980 | − | 7.16242i | 0.162826 | − | 1.13248i | ||||
\(41\) | 2.27321 | + | 4.97763i | 0.355015 | + | 0.777375i | 0.999914 | + | 0.0131072i | \(0.00417226\pi\) |
−0.644899 | + | 0.764268i | \(0.723100\pi\) | |||||||
\(42\) | −0.636451 | − | 4.42662i | −0.0982066 | − | 0.683042i | ||||
\(43\) | 0 | 0 | −0.540641 | − | 0.841254i | \(-0.681818\pi\) | ||||
0.540641 | + | 0.841254i | \(0.318182\pi\) | |||||||
\(44\) | 0.309183 | − | 0.356817i | 0.0466111 | − | 0.0537921i | ||||
\(45\) | −6.47214 | −0.964809 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.23607 | 0.326164 | 0.163082 | − | 0.986613i | \(-0.447856\pi\) | ||||
0.163082 | + | 0.986613i | \(0.447856\pi\) | |||||||
\(48\) | 7.10793 | − | 8.20298i | 1.02594 | − | 1.18400i | ||||
\(49\) | −4.60345 | + | 2.95846i | −0.657636 | + | 0.422637i | ||||
\(50\) | 1.26007 | + | 8.76398i | 0.178201 | + | 1.23941i | ||||
\(51\) | 4.86376 | + | 10.6502i | 0.681063 | + | 1.49132i | ||||
\(52\) | −0.263866 | + | 1.83523i | −0.0365917 | + | 0.254501i | ||||
\(53\) | 8.12895 | − | 2.38688i | 1.11660 | − | 0.327863i | 0.329171 | − | 0.944270i | \(-0.393231\pi\) |
0.787427 | + | 0.616408i | \(0.211413\pi\) | |||||||
\(54\) | 3.04368 | + | 1.95606i | 0.414193 | + | 0.266186i | ||||
\(55\) | 1.02696 | − | 2.24873i | 0.138476 | − | 0.303219i | ||||
\(56\) | 2.65197 | + | 0.778690i | 0.354385 | + | 0.104057i | ||||
\(57\) | 2.92863 | + | 3.37981i | 0.387906 | + | 0.447667i | ||||
\(58\) | −3.17876 | − | 3.66849i | −0.417392 | − | 0.481696i | ||||
\(59\) | 2.37200 | + | 0.696481i | 0.308808 | + | 0.0906741i | 0.432465 | − | 0.901651i | \(-0.357644\pi\) |
−0.123657 | + | 0.992325i | \(0.539462\pi\) | |||||||
\(60\) | −1.85779 | + | 4.06800i | −0.239840 | + | 0.525176i | ||||
\(61\) | 9.20691 | + | 5.91692i | 1.17882 | + | 0.757584i | 0.975170 | − | 0.221459i | \(-0.0710819\pi\) |
0.203654 | + | 0.979043i | \(0.434718\pi\) | |||||||
\(62\) | −10.4144 | + | 3.05795i | −1.32263 | + | 0.388361i | ||||
\(63\) | 0.351822 | − | 2.44697i | 0.0443254 | − | 0.308290i | ||||
\(64\) | 1.75973 | + | 3.85326i | 0.219966 | + | 0.481658i | ||||
\(65\) | 1.38162 | + | 9.60939i | 0.171369 | + | 1.19190i | ||||
\(66\) | 2.32517 | − | 1.49429i | 0.286208 | − | 0.183935i | ||||
\(67\) | 4.73862 | − | 5.46866i | 0.578914 | − | 0.668103i | −0.388457 | − | 0.921467i | \(-0.626992\pi\) |
0.967371 | + | 0.253364i | \(0.0815372\pi\) | |||||||
\(68\) | 3.23607 | 0.392431 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.47214 | −0.773568 | ||||||||
\(71\) | −5.08429 | + | 5.86759i | −0.603395 | + | 0.696355i | −0.972466 | − | 0.233047i | \(-0.925131\pi\) |
0.369071 | + | 0.929401i | \(0.379676\pi\) | |||||||
\(72\) | 3.76220 | − | 2.41782i | 0.443380 | − | 0.284943i | ||||
\(73\) | −2.20191 | − | 15.3147i | −0.257715 | − | 1.79244i | −0.549015 | − | 0.835813i | \(-0.684997\pi\) |
0.291300 | − | 0.956632i | \(-0.405912\pi\) | |||||||
\(74\) | −2.17514 | − | 4.76289i | −0.252855 | − | 0.553675i | ||||
\(75\) | −1.74137 | + | 12.1115i | −0.201077 | + | 1.39852i | ||||
\(76\) | 1.18600 | − | 0.348241i | 0.136043 | − | 0.0399459i | ||||
\(77\) | 0.794372 | + | 0.510512i | 0.0905271 | + | 0.0581782i | ||||
\(78\) | −4.50896 | + | 9.87324i | −0.510539 | + | 1.11792i | ||||
\(79\) | −6.66298 | − | 1.95643i | −0.749644 | − | 0.220115i | −0.115476 | − | 0.993310i | \(-0.536839\pi\) |
−0.634168 | + | 0.773195i | \(0.718657\pi\) | |||||||
\(80\) | −10.2867 | − | 11.8715i | −1.15009 | − | 1.32727i | ||||
\(81\) | 7.20347 | + | 8.31325i | 0.800385 | + | 0.923694i | ||||
\(82\) | 8.49545 | + | 2.49449i | 0.938165 | + | 0.275470i | ||||
\(83\) | −5.49846 | + | 12.0400i | −0.603535 | + | 1.32156i | 0.323375 | + | 0.946271i | \(0.395183\pi\) |
−0.926909 | + | 0.375285i | \(0.877545\pi\) | |||||||
\(84\) | −1.43703 | − | 0.923525i | −0.156793 | − | 0.100765i | ||||
\(85\) | 16.2579 | − | 4.77375i | 1.76342 | − | 0.517786i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.78669 | − | 6.10200i | −0.298764 | − | 0.654203i | ||||
\(88\) | 0.243103 | + | 1.69082i | 0.0259148 | + | 0.180242i | ||||
\(89\) | −1.28532 | + | 0.826026i | −0.136244 | + | 0.0875585i | −0.606987 | − | 0.794712i | \(-0.707622\pi\) |
0.470743 | + | 0.882270i | \(0.343986\pi\) | |||||||
\(90\) | −6.85779 | + | 7.91431i | −0.722875 | + | 0.834242i | ||||
\(91\) | −3.70820 | −0.388725 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −15.0000 | −1.55543 | ||||||||
\(94\) | 2.36931 | − | 2.73433i | 0.244376 | − | 0.282024i | ||||
\(95\) | 5.44471 | − | 3.49910i | 0.558615 | − | 0.359000i | ||||
\(96\) | −1.07623 | − | 7.48533i | −0.109842 | − | 0.763969i | ||||
\(97\) | 1.78288 | + | 3.90396i | 0.181024 | + | 0.396387i | 0.978290 | − | 0.207241i | \(-0.0664485\pi\) |
−0.797266 | + | 0.603628i | \(0.793721\pi\) | |||||||
\(98\) | −1.26007 | + | 8.76398i | −0.127286 | + | 0.885296i | ||||
\(99\) | 1.46597 | − | 0.430449i | 0.147336 | − | 0.0432618i | ||||
\(100\) | 2.84509 | + | 1.82843i | 0.284509 | + | 0.182843i | ||||
\(101\) | −1.85779 | + | 4.06800i | −0.184857 | + | 0.404781i | −0.979259 | − | 0.202611i | \(-0.935057\pi\) |
0.794402 | + | 0.607392i | \(0.207784\pi\) | |||||||
\(102\) | 18.1769 | + | 5.33722i | 1.79978 | + | 0.528463i | ||||
\(103\) | −11.9056 | − | 13.7398i | −1.17309 | − | 1.35382i | −0.922626 | − | 0.385696i | \(-0.873961\pi\) |
−0.250467 | − | 0.968125i | \(-0.580584\pi\) | |||||||
\(104\) | −4.39294 | − | 5.06972i | −0.430763 | − | 0.497127i | ||||
\(105\) | −8.58197 | − | 2.51989i | −0.837514 | − | 0.245916i | ||||
\(106\) | 5.69459 | − | 12.4694i | 0.553108 | − | 1.21114i | ||||
\(107\) | −11.2866 | − | 7.25346i | −1.09112 | − | 0.701218i | −0.134018 | − | 0.990979i | \(-0.542788\pi\) |
−0.957099 | + | 0.289761i | \(0.906424\pi\) | |||||||
\(108\) | 1.32599 | − | 0.389345i | 0.127593 | − | 0.0374647i | ||||
\(109\) | 0 | 0 | −0.989821 | − | 0.142315i | \(-0.954545\pi\) | ||||
0.989821 | + | 0.142315i | \(0.0454545\pi\) | |||||||
\(110\) | −1.66166 | − | 3.63853i | −0.158433 | − | 0.346920i | ||||
\(111\) | −1.02980 | − | 7.16242i | −0.0977443 | − | 0.679826i | ||||
\(112\) | 5.04752 | − | 3.24384i | 0.476946 | − | 0.306515i | ||||
\(113\) | −8.66778 | + | 10.0032i | −0.815396 | + | 0.941017i | −0.999119 | − | 0.0419606i | \(-0.986640\pi\) |
0.183723 | + | 0.982978i | \(0.441185\pi\) | |||||||
\(114\) | 7.23607 | 0.677720 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.85410 | −0.172149 | ||||||||
\(117\) | −3.92916 | + | 4.53450i | −0.363251 | + | 0.419214i | ||||
\(118\) | 3.36501 | − | 2.16256i | 0.309775 | − | 0.199080i | ||||
\(119\) | 0.921081 | + | 6.40626i | 0.0844354 | + | 0.587261i | ||||
\(120\) | −6.72156 | − | 14.7182i | −0.613591 | − | 1.34358i | ||||
\(121\) | 1.48241 | − | 10.3104i | 0.134764 | − | 0.937308i | ||||
\(122\) | 16.9909 | − | 4.98898i | 1.53828 | − | 0.451681i | ||||
\(123\) | 10.2936 | + | 6.61532i | 0.928146 | + | 0.596483i | ||||
\(124\) | −1.72227 | + | 3.77124i | −0.154664 | + | 0.338667i | ||||
\(125\) | 1.46597 | + | 0.430449i | 0.131121 | + | 0.0385005i | ||||
\(126\) | −2.61944 | − | 3.02300i | −0.233359 | − | 0.269310i | ||||
\(127\) | 13.5610 | + | 15.6502i | 1.20334 | + | 1.38873i | 0.900022 | + | 0.435844i | \(0.143550\pi\) |
0.303321 | + | 0.952888i | \(0.401905\pi\) | |||||||
\(128\) | 13.0664 | + | 3.83664i | 1.15492 | + | 0.339115i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 13.2146 | + | 8.49250i | 1.15900 | + | 0.744841i | ||||
\(131\) | −5.07744 | + | 1.49087i | −0.443618 | + | 0.130258i | −0.495910 | − | 0.868374i | \(-0.665165\pi\) |
0.0522921 | + | 0.998632i | \(0.483347\pi\) | |||||||
\(132\) | 0.150246 | − | 1.04498i | 0.0130772 | − | 0.0909540i | ||||
\(133\) | 1.02696 | + | 2.24873i | 0.0890489 | + | 0.194990i | ||||
\(134\) | −1.66625 | − | 11.5890i | −0.143942 | − | 1.00114i | ||||
\(135\) | 6.08737 | − | 3.91211i | 0.523917 | − | 0.336701i | ||||
\(136\) | −7.66724 | + | 8.84847i | −0.657461 | + | 0.758750i | ||||
\(137\) | 13.8885 | 1.18658 | 0.593289 | − | 0.804989i | \(-0.297829\pi\) | ||||
0.593289 | + | 0.804989i | \(0.297829\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.70820 | 0.229707 | 0.114853 | − | 0.993382i | \(-0.463360\pi\) | ||||
0.114853 | + | 0.993382i | \(0.463360\pi\) | |||||||
\(140\) | −1.61890 | + | 1.86832i | −0.136822 | + | 0.157901i | ||||
\(141\) | 4.20627 | − | 2.70320i | 0.354232 | − | 0.227651i | ||||
\(142\) | 1.78780 | + | 12.4344i | 0.150029 | + | 1.04348i | ||||
\(143\) | −0.952046 | − | 2.08469i | −0.0796141 | − | 0.174331i | ||||
\(144\) | 1.38162 | − | 9.60939i | 0.115135 | − | 0.800782i | ||||
\(145\) | −9.31495 | + | 2.73512i | −0.773565 | + | 0.227139i | ||||
\(146\) | −21.0603 | − | 13.5346i | −1.74296 | − | 1.12013i | ||||
\(147\) | −5.08305 | + | 11.1303i | −0.419243 | + | 0.918013i | ||||
\(148\) | −1.91899 | − | 0.563465i | −0.157740 | − | 0.0463165i | ||||
\(149\) | 7.78534 | + | 8.98476i | 0.637800 | + | 0.736060i | 0.978984 | − | 0.203936i | \(-0.0653735\pi\) |
−0.341184 | + | 0.939996i | \(0.610828\pi\) | |||||||
\(150\) | 12.9652 | + | 14.9626i | 1.05860 | + | 1.22169i | ||||
\(151\) | 0.226506 | + | 0.0665080i | 0.0184328 | + | 0.00541235i | 0.290936 | − | 0.956743i | \(-0.406033\pi\) |
−0.272503 | + | 0.962155i | \(0.587852\pi\) | |||||||
\(152\) | −1.85779 | + | 4.06800i | −0.150687 | + | 0.329958i | ||||
\(153\) | 8.80972 | + | 5.66166i | 0.712224 | + | 0.457718i | ||||
\(154\) | 1.46597 | − | 0.430449i | 0.118132 | − | 0.0346866i | ||||
\(155\) | −3.08940 | + | 21.4872i | −0.248147 | + | 1.72590i | ||||
\(156\) | 1.72227 | + | 3.77124i | 0.137892 | + | 0.301941i | ||||
\(157\) | −2.19398 | − | 15.2595i | −0.175099 | − | 1.21784i | −0.867910 | − | 0.496721i | \(-0.834537\pi\) |
0.692811 | − | 0.721119i | \(-0.256372\pi\) | |||||||
\(158\) | −9.45238 | + | 6.07468i | −0.751991 | + | 0.483275i | ||||
\(159\) | 12.4059 | − | 14.3171i | 0.983849 | − | 1.13542i | ||||
\(160\) | −10.9443 | −0.865221 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 17.7984 | 1.39837 | ||||||||
\(163\) | 6.70320 | − | 7.73590i | 0.525035 | − | 0.605923i | −0.429849 | − | 0.902901i | \(-0.641433\pi\) |
0.954884 | + | 0.296978i | \(0.0959788\pi\) | |||||||
\(164\) | 2.84509 | − | 1.82843i | 0.222164 | − | 0.142776i | ||||
\(165\) | −0.786697 | − | 5.47160i | −0.0612443 | − | 0.425963i | ||||
\(166\) | 8.89670 | + | 19.4810i | 0.690518 | + | 1.51202i | ||||
\(167\) | −1.49034 | + | 10.3655i | −0.115326 | + | 0.802110i | 0.847269 | + | 0.531165i | \(0.178245\pi\) |
−0.962595 | + | 0.270945i | \(0.912664\pi\) | |||||||
\(168\) | 5.92999 | − | 1.74120i | 0.457509 | − | 0.134337i | ||||
\(169\) | −3.36501 | − | 2.16256i | −0.258847 | − | 0.166351i | ||||
\(170\) | 11.3892 | − | 24.9388i | 0.873511 | − | 1.91272i | ||||
\(171\) | 3.83797 | + | 1.12693i | 0.293497 | + | 0.0861785i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.31080 | − | 3.82086i | −0.251715 | − | 0.290495i | 0.615803 | − | 0.787900i | \(-0.288832\pi\) |
−0.867518 | + | 0.497405i | \(0.834286\pi\) | |||||||
\(174\) | −10.4144 | − | 3.05795i | −0.789516 | − | 0.231823i | ||||
\(175\) | −2.80984 | + | 6.15269i | −0.212404 | + | 0.465100i | ||||
\(176\) | 3.11954 | + | 2.00481i | 0.235144 | + | 0.151118i | ||||
\(177\) | 5.30395 | − | 1.55738i | 0.398669 | − | 0.117060i | ||||
\(178\) | −0.351822 | + | 2.44697i | −0.0263701 | + | 0.183408i | ||||
\(179\) | −5.27918 | − | 11.5598i | −0.394584 | − | 0.864019i | −0.997791 | − | 0.0664341i | \(-0.978838\pi\) |
0.603206 | − | 0.797585i | \(-0.293889\pi\) | |||||||
\(180\) | 0.569259 | + | 3.95929i | 0.0424301 | + | 0.295108i | ||||
\(181\) | −12.3264 | + | 7.92173i | −0.916218 | + | 0.588817i | −0.911558 | − | 0.411172i | \(-0.865120\pi\) |
−0.00465975 | + | 0.999989i | \(0.501483\pi\) | |||||||
\(182\) | −3.92916 | + | 4.53450i | −0.291249 | + | 0.336119i | ||||
\(183\) | 24.4721 | 1.80903 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −10.4721 | −0.769927 | ||||||||
\(186\) | −15.8938 | + | 18.3424i | −1.16539 | + | 1.34493i | ||||
\(187\) | −3.36501 | + | 2.16256i | −0.246074 | + | 0.158142i | ||||
\(188\) | −0.196674 | − | 1.36790i | −0.0143439 | − | 0.0997643i | ||||
\(189\) | 1.14818 | + | 2.51416i | 0.0835177 | + | 0.182878i | ||||
\(190\) | 1.49034 | − | 10.3655i | 0.108121 | − | 0.751996i | ||||
\(191\) | 3.66494 | − | 1.07612i | 0.265186 | − | 0.0778655i | −0.146437 | − | 0.989220i | \(-0.546780\pi\) |
0.411622 | + | 0.911355i | \(0.364962\pi\) | |||||||
\(192\) | 7.96847 | + | 5.12102i | 0.575075 | + | 0.369578i | ||||
\(193\) | −3.30017 | + | 7.22636i | −0.237551 | + | 0.520165i | −0.990434 | − | 0.137990i | \(-0.955936\pi\) |
0.752882 | + | 0.658155i | \(0.228663\pi\) | |||||||
\(194\) | 6.66298 | + | 1.95643i | 0.478374 | + | 0.140463i | ||||
\(195\) | 14.2159 | + | 16.4060i | 1.01802 | + | 1.17486i | ||||
\(196\) | 2.21472 | + | 2.55592i | 0.158194 | + | 0.182566i | ||||
\(197\) | −7.16946 | − | 2.10514i | −0.510803 | − | 0.149985i | 0.0161668 | − | 0.999869i | \(-0.494854\pi\) |
−0.526970 | + | 0.849884i | \(0.676672\pi\) | |||||||
\(198\) | 1.02696 | − | 2.24873i | 0.0729830 | − | 0.159811i | ||||
\(199\) | −21.6271 | − | 13.8989i | −1.53311 | − | 0.985267i | −0.989274 | − | 0.146073i | \(-0.953337\pi\) |
−0.543832 | − | 0.839194i | \(-0.683027\pi\) | |||||||
\(200\) | −11.7404 | + | 3.44730i | −0.830173 | + | 0.243761i | ||||
\(201\) | 2.30270 | − | 16.0156i | 0.162420 | − | 1.12966i | ||||
\(202\) | 3.00597 | + | 6.58216i | 0.211499 | + | 0.463119i | ||||
\(203\) | −0.527732 | − | 3.67046i | −0.0370396 | − | 0.257616i | ||||
\(204\) | 6.08737 | − | 3.91211i | 0.426201 | − | 0.273903i | ||||
\(205\) | 11.5964 | − | 13.3830i | 0.809928 | − | 0.934707i | ||||
\(206\) | −29.4164 | −2.04954 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −14.5623 | −1.00971 | ||||||||
\(209\) | −1.00054 | + | 1.15468i | −0.0692087 | + | 0.0798711i | ||||
\(210\) | −12.1747 | + | 7.82423i | −0.840137 | + | 0.539923i | ||||
\(211\) | −0.486206 | − | 3.38163i | −0.0334718 | − | 0.232801i | 0.966218 | − | 0.257728i | \(-0.0829738\pi\) |
−0.999689 | + | 0.0249267i | \(0.992065\pi\) | |||||||
\(212\) | −2.17514 | − | 4.76289i | −0.149389 | − | 0.327117i | ||||
\(213\) | −2.47068 | + | 17.1840i | −0.169288 | + | 1.17743i | ||||
\(214\) | −20.8289 | + | 6.11591i | −1.42383 | + | 0.418075i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.07708 | + | 4.54816i | −0.141327 | + | 0.309463i | ||||
\(217\) | −7.95592 | − | 2.33607i | −0.540083 | − | 0.158583i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −22.6561 | − | 26.1465i | −1.53095 | − | 1.76682i | ||||
\(220\) | −1.46597 | − | 0.430449i | −0.0988360 | − | 0.0290209i | ||||
\(221\) | 6.52542 | − | 14.2887i | 0.438948 | − | 0.961161i | ||||
\(222\) | −9.84957 | − | 6.32993i | −0.661060 | − | 0.424837i | ||||
\(223\) | −3.83797 | + | 1.12693i | −0.257010 | + | 0.0754648i | −0.407699 | − | 0.913116i | \(-0.633669\pi\) |
0.150690 | + | 0.988581i | \(0.451851\pi\) | |||||||
\(224\) | 0.594924 | − | 4.13779i | 0.0397501 | − | 0.276468i | ||||
\(225\) | 4.54641 | + | 9.95526i | 0.303094 | + | 0.663684i | ||||
\(226\) | 3.04787 | + | 21.1984i | 0.202741 | + | 1.41010i | ||||
\(227\) | 8.56425 | − | 5.50391i | 0.568429 | − | 0.365307i | −0.224637 | − | 0.974442i | \(-0.572120\pi\) |
0.793066 | + | 0.609135i | \(0.208483\pi\) | |||||||
\(228\) | 1.80999 | − | 2.08884i | 0.119870 | − | 0.138337i | ||||
\(229\) | −12.0000 | −0.792982 | −0.396491 | − | 0.918039i | \(-0.629772\pi\) | ||||
−0.396491 | + | 0.918039i | \(0.629772\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.11146 | 0.138924 | ||||||||
\(232\) | 4.39294 | − | 5.06972i | 0.288411 | − | 0.332844i | ||||
\(233\) | −13.0160 | + | 8.36487i | −0.852706 | + | 0.548001i | −0.892418 | − | 0.451210i | \(-0.850992\pi\) |
0.0397118 | + | 0.999211i | \(0.487356\pi\) | |||||||
\(234\) | 1.38162 | + | 9.60939i | 0.0903194 | + | 0.628185i | ||||
\(235\) | −3.00597 | − | 6.58216i | −0.196088 | − | 0.429373i | ||||
\(236\) | 0.217438 | − | 1.51231i | 0.0141540 | − | 0.0984432i | ||||
\(237\) | −14.8989 | + | 4.37470i | −0.967786 | + | 0.284168i | ||||
\(238\) | 8.80972 | + | 5.66166i | 0.571049 | + | 0.366991i | ||||
\(239\) | 7.57554 | − | 16.5881i | 0.490021 | − | 1.07300i | −0.489565 | − | 0.871967i | \(-0.662844\pi\) |
0.979585 | − | 0.201029i | \(-0.0644284\pi\) | |||||||
\(240\) | −33.7018 | − | 9.89575i | −2.17544 | − | 0.638768i | ||||
\(241\) | −11.2142 | − | 12.9419i | −0.722372 | − | 0.833662i | 0.269218 | − | 0.963079i | \(-0.413235\pi\) |
−0.991590 | + | 0.129417i | \(0.958689\pi\) | |||||||
\(242\) | −11.0371 | − | 12.7375i | −0.709491 | − | 0.818796i | ||||
\(243\) | 17.1639 | + | 5.03979i | 1.10107 | + | 0.323302i | ||||
\(244\) | 2.80984 | − | 6.15269i | 0.179882 | − | 0.393886i | ||||
\(245\) | 14.8971 | + | 9.57378i | 0.951740 | + | 0.611646i | ||||
\(246\) | 18.9964 | − | 5.57785i | 1.21117 | − | 0.355631i | ||||
\(247\) | 0.853889 | − | 5.93893i | 0.0543317 | − | 0.377885i | ||||
\(248\) | −6.23123 | − | 13.6445i | −0.395683 | − | 0.866425i | ||||
\(249\) | 4.21206 | + | 29.2955i | 0.266928 | + | 1.85653i | ||||
\(250\) | 2.07969 | − | 1.33654i | 0.131531 | − | 0.0845301i | ||||
\(251\) | −10.2867 | + | 11.8715i | −0.649290 | + | 0.749320i | −0.980989 | − | 0.194065i | \(-0.937833\pi\) |
0.331699 | + | 0.943385i | \(0.392378\pi\) | |||||||
\(252\) | −1.52786 | −0.0962464 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 33.5066 | 2.10239 | ||||||||
\(255\) | 24.8117 | − | 28.6343i | 1.55377 | − | 1.79315i | ||||
\(256\) | 11.4093 | − | 7.33234i | 0.713084 | − | 0.458271i | ||||
\(257\) | −0.209507 | − | 1.45715i | −0.0130687 | − | 0.0908946i | 0.982243 | − | 0.187612i | \(-0.0600748\pi\) |
−0.995312 | + | 0.0967174i | \(0.969166\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.569259 | − | 3.95929i | 0.0353721 | − | 0.246018i | ||||
\(260\) | 5.75696 | − | 1.69040i | 0.357031 | − | 0.104834i | ||||
\(261\) | −5.04752 | − | 3.24384i | −0.312434 | − | 0.200789i | ||||
\(262\) | −3.55691 | + | 7.78855i | −0.219747 | + | 0.481178i | ||||
\(263\) | 14.3389 | + | 4.21029i | 0.884176 | + | 0.259617i | 0.692134 | − | 0.721769i | \(-0.256671\pi\) |
0.192042 | + | 0.981387i | \(0.438489\pi\) | |||||||
\(264\) | 2.50135 | + | 2.88671i | 0.153947 | + | 0.177665i | ||||
\(265\) | −17.9539 | − | 20.7199i | −1.10290 | − | 1.27282i | ||||
\(266\) | 3.83797 | + | 1.12693i | 0.235321 | + | 0.0690965i | ||||
\(267\) | −1.41923 | + | 3.10767i | −0.0868553 | + | 0.190187i | ||||
\(268\) | −3.76220 | − | 2.41782i | −0.229813 | − | 0.147692i | ||||
\(269\) | −9.54146 | + | 2.80163i | −0.581753 | + | 0.170818i | −0.559351 | − | 0.828931i | \(-0.688950\pi\) |
−0.0224021 | + | 0.999749i | \(0.507131\pi\) | |||||||
\(270\) | 1.66625 | − | 11.5890i | 0.101405 | − | 0.705286i | ||||
\(271\) | 3.32332 | + | 7.27706i | 0.201877 | + | 0.442050i | 0.983310 | − | 0.181940i | \(-0.0582378\pi\) |
−0.781432 | + | 0.623990i | \(0.785511\pi\) | |||||||
\(272\) | 3.61713 | + | 25.1577i | 0.219321 | + | 1.52541i | ||||
\(273\) | −6.97550 | + | 4.48288i | −0.422177 | + | 0.271316i | ||||
\(274\) | 14.7161 | − | 16.9833i | 0.889033 | − | 1.02600i | ||||
\(275\) | −4.18034 | −0.252084 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.52786 | 0.392221 | 0.196111 | − | 0.980582i | \(-0.437169\pi\) | ||||
0.196111 | + | 0.980582i | \(0.437169\pi\) | |||||||
\(278\) | 2.86958 | − | 3.31167i | 0.172106 | − | 0.198621i | ||||
\(279\) | −11.2866 | + | 7.25346i | −0.675711 | + | 0.434253i | ||||
\(280\) | −1.27290 | − | 8.85323i | −0.0760705 | − | 0.529082i | ||||
\(281\) | −5.49846 | − | 12.0400i | −0.328011 | − | 0.718243i | 0.671735 | − | 0.740791i | \(-0.265549\pi\) |
−0.999746 | + | 0.0225482i | \(0.992822\pi\) | |||||||
\(282\) | 1.15135 | − | 8.00782i | 0.0685620 | − | 0.476859i | ||||
\(283\) | −13.7129 | + | 4.02646i | −0.815146 | + | 0.239348i | −0.662625 | − | 0.748952i | \(-0.730557\pi\) |
−0.152521 | + | 0.988300i | \(0.548739\pi\) | |||||||
\(284\) | 4.03665 | + | 2.59420i | 0.239531 | + | 0.153937i | ||||
\(285\) | 6.01194 | − | 13.1643i | 0.356117 | − | 0.779787i | ||||
\(286\) | −3.55800 | − | 1.04472i | −0.210389 | − | 0.0617757i | ||||
\(287\) | 4.42943 | + | 5.11184i | 0.261461 | + | 0.301742i | ||||
\(288\) | −4.42943 | − | 5.11184i | −0.261007 | − | 0.301218i | ||||
\(289\) | −9.99447 | − | 2.93464i | −0.587910 | − | 0.172626i | ||||
\(290\) | −6.52542 | + | 14.2887i | −0.383186 | + | 0.839060i | ||||
\(291\) | 8.07330 | + | 5.18839i | 0.473265 | + | 0.304149i | ||||
\(292\) | −9.17497 | + | 2.69401i | −0.536924 | + | 0.157655i | ||||
\(293\) | 1.49034 | − | 10.3655i | 0.0870666 | − | 0.605562i | −0.898842 | − | 0.438274i | \(-0.855590\pi\) |
0.985908 | − | 0.167288i | \(-0.0535009\pi\) | |||||||
\(294\) | 8.22454 | + | 18.0092i | 0.479665 | + | 1.05032i | ||||
\(295\) | −1.13852 | − | 7.91857i | −0.0662871 | − | 0.461037i | ||||
\(296\) | 6.08737 | − | 3.91211i | 0.353821 | − | 0.227387i | ||||
\(297\) | −1.11864 | + | 1.29097i | −0.0649098 | + | 0.0749099i | ||||
\(298\) | 19.2361 | 1.11432 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 7.56231 | 0.436610 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0.321330 | − | 0.206506i | 0.0184905 | − | 0.0118831i | ||||
\(303\) | 1.42315 | + | 9.89821i | 0.0817577 | + | 0.568638i | ||||
\(304\) | 4.03293 | + | 8.83089i | 0.231305 | + | 0.506486i | ||||
\(305\) | 5.04028 | − | 35.0559i | 0.288606 | − | 2.00730i | ||||
\(306\) | 16.2579 | − | 4.77375i | 0.929403 | − | 0.272897i | ||||
\(307\) | 15.5397 | + | 9.98679i | 0.886900 | + | 0.569976i | 0.902878 | − | 0.429896i | \(-0.141450\pi\) |
−0.0159780 | + | 0.999872i | \(0.505086\pi\) | |||||||
\(308\) | 0.242433 | − | 0.530854i | 0.0138139 | − | 0.0302482i | ||||
\(309\) | −39.0058 | − | 11.4531i | −2.21896 | − | 0.651546i | ||||
\(310\) | 23.0017 | + | 26.5454i | 1.30641 | + | 1.50768i | ||||
\(311\) | 6.01184 | + | 6.93804i | 0.340900 | + | 0.393420i | 0.900151 | − | 0.435579i | \(-0.143456\pi\) |
−0.559250 | + | 0.828999i | \(0.688911\pi\) | |||||||
\(312\) | −14.3924 | − | 4.22599i | −0.814809 | − | 0.239249i | ||||
\(313\) | −8.45813 | + | 18.5207i | −0.478082 | + | 1.04685i | 0.504905 | + | 0.863175i | \(0.331528\pi\) |
−0.982986 | + | 0.183678i | \(0.941200\pi\) | |||||||
\(314\) | −20.9845 | − | 13.4859i | −1.18422 | − | 0.761053i | ||||
\(315\) | −7.67594 | + | 2.25386i | −0.432490 | + | 0.126991i | ||||
\(316\) | −0.610786 | + | 4.24811i | −0.0343594 | + | 0.238975i | ||||
\(317\) | −0.588397 | − | 1.28841i | −0.0330477 | − | 0.0723643i | 0.892388 | − | 0.451268i | \(-0.149028\pi\) |
−0.925436 | + | 0.378904i | \(0.876301\pi\) | |||||||
\(318\) | −4.36230 | − | 30.3405i | −0.244626 | − | 1.70141i | ||||
\(319\) | 1.92798 | − | 1.23904i | 0.107946 | − | 0.0693728i | ||||
\(320\) | 8.97696 | − | 10.3600i | 0.501828 | − | 0.579140i | ||||
\(321\) | −30.0000 | −1.67444 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −10.4721 | −0.582685 | ||||||||
\(324\) | 4.45199 | − | 5.13787i | 0.247333 | − | 0.285437i | ||||
\(325\) | 13.8104 | − | 8.87538i | 0.766061 | − | 0.492318i | ||||
\(326\) | −2.35706 | − | 16.3937i | −0.130546 | − | 0.907964i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.74137 | + | 12.1115i | −0.0961513 | + | 0.668747i | ||||
\(329\) | 2.65197 | − | 0.778690i | 0.146208 | − | 0.0429305i | ||||
\(330\) | −7.52440 | − | 4.83564i | −0.414205 | − | 0.266193i | ||||
\(331\) | 4.84061 | − | 10.5995i | 0.266064 | − | 0.582599i | −0.728696 | − | 0.684838i | \(-0.759873\pi\) |
0.994760 | + | 0.102238i | \(0.0326004\pi\) | |||||||
\(332\) | 7.84898 | + | 2.30467i | 0.430769 | + | 0.126485i | ||||
\(333\) | −4.23835 | − | 4.89131i | −0.232260 | − | 0.268042i | ||||
\(334\) | 11.0961 | + | 12.8056i | 0.607154 | + | 0.700693i | ||||
\(335\) | −22.4679 | − | 6.59716i | −1.22755 | − | 0.360442i | ||||
\(336\) | 5.57338 | − | 12.2040i | 0.304053 | − | 0.665782i | ||||
\(337\) | −2.87407 | − | 1.84705i | −0.156560 | − | 0.100615i | 0.460015 | − | 0.887911i | \(-0.347844\pi\) |
−0.616575 | + | 0.787296i | \(0.711480\pi\) | |||||||
\(338\) | −6.20997 | + | 1.82341i | −0.337778 | + | 0.0991805i | ||||
\(339\) | −4.21206 | + | 29.2955i | −0.228767 | + | 1.59111i | ||||
\(340\) | −4.35028 | − | 9.52579i | −0.235927 | − | 0.516608i | ||||
\(341\) | −0.729308 | − | 5.07245i | −0.0394943 | − | 0.274689i | ||||
\(342\) | 5.44471 | − | 3.49910i | 0.294416 | − | 0.189210i | ||||
\(343\) | −10.0956 | + | 11.6509i | −0.545111 | + | 0.629092i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −8.18034 | −0.439778 | ||||||||
\(347\) | −16.9534 | + | 19.5653i | −0.910106 | + | 1.05032i | 0.0884225 | + | 0.996083i | \(0.471817\pi\) |
−0.998528 | + | 0.0542349i | \(0.982728\pi\) | |||||||
\(348\) | −3.48775 | + | 2.24144i | −0.186963 | + | 0.120154i | ||||
\(349\) | 0.343891 | + | 2.39181i | 0.0184080 | + | 0.128031i | 0.996953 | − | 0.0780015i | \(-0.0248539\pi\) |
−0.978545 | + | 0.206032i | \(0.933945\pi\) | |||||||
\(350\) | 4.54641 | + | 9.95526i | 0.243016 | + | 0.532131i | ||||
\(351\) | 0.954677 | − | 6.63992i | 0.0509569 | − | 0.354413i | ||||
\(352\) | 2.47894 | − | 0.727882i | 0.132128 | − | 0.0387962i | ||||
\(353\) | −29.7473 | − | 19.1174i | −1.58329 | − | 1.01752i | −0.974556 | − | 0.224142i | \(-0.928042\pi\) |
−0.608732 | − | 0.793376i | \(-0.708322\pi\) | |||||||
\(354\) | 3.71558 | − | 8.13600i | 0.197481 | − | 0.432423i | ||||
\(355\) | 24.1069 | + | 7.07842i | 1.27946 | + | 0.375684i | ||||
\(356\) | 0.618367 | + | 0.713633i | 0.0327734 | + | 0.0378225i | ||||
\(357\) | 9.47723 | + | 10.9373i | 0.501588 | + | 0.578864i | ||||
\(358\) | −19.7294 | − | 5.79307i | −1.04273 | − | 0.306173i | ||||
\(359\) | 6.60034 | − | 14.4527i | 0.348353 | − | 0.762786i | −0.651638 | − | 0.758530i | \(-0.725918\pi\) |
0.999991 | − | 0.00425599i | \(-0.00135473\pi\) | |||||||
\(360\) | −12.1747 | − | 7.82423i | −0.641665 | − | 0.412373i | ||||
\(361\) | 14.3924 | − | 4.22599i | 0.757494 | − | 0.222420i | ||||
\(362\) | −3.37403 | + | 23.4669i | −0.177335 | + | 1.23339i | ||||
\(363\) | −9.67576 | − | 21.1870i | −0.507846 | − | 1.11203i | ||||
\(364\) | 0.326157 | + | 2.26847i | 0.0170953 | + | 0.118900i | ||||
\(365\) | −42.1206 | + | 27.0693i | −2.20469 | + | 1.41687i | ||||
\(366\) | 25.9304 | − | 29.9252i | 1.35540 | − | 1.56422i | ||||
\(367\) | 18.1803 | 0.949006 | 0.474503 | − | 0.880254i | \(-0.342628\pi\) | ||||
0.474503 | + | 0.880254i | \(0.342628\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 10.9443 | 0.569736 | ||||||||
\(370\) | −11.0961 | + | 12.8056i | −0.576861 | + | 0.665733i | ||||
\(371\) | 8.80972 | − | 5.66166i | 0.457378 | − | 0.293939i | ||||
\(372\) | 1.31933 | + | 9.17615i | 0.0684041 | + | 0.475761i | ||||
\(373\) | −2.37127 | − | 5.19236i | −0.122780 | − | 0.268850i | 0.838255 | − | 0.545279i | \(-0.183576\pi\) |
−0.961034 | + | 0.276429i | \(0.910849\pi\) | |||||||
\(374\) | −0.921081 | + | 6.40626i | −0.0476280 | + | 0.331260i | ||||
\(375\) | 3.27802 | − | 0.962513i | 0.169276 | − | 0.0497040i | ||||
\(376\) | 4.20627 | + | 2.70320i | 0.216922 | + | 0.139407i | ||||
\(377\) | −3.73874 | + | 8.18669i | −0.192555 | + | 0.421636i | ||||
\(378\) | 4.29098 | + | 1.25995i | 0.220704 | + | 0.0648046i | ||||
\(379\) | 13.3334 | + | 15.3876i | 0.684891 | + | 0.790407i | 0.986629 | − | 0.162984i | \(-0.0521120\pi\) |
−0.301737 | + | 0.953391i | \(0.597567\pi\) | |||||||
\(380\) | −2.61944 | − | 3.02300i | −0.134375 | − | 0.155077i | ||||
\(381\) | 44.4293 | + | 13.0456i | 2.27618 | + | 0.668347i | ||||
\(382\) | 2.56741 | − | 5.62183i | 0.131360 | − | 0.287638i | ||||
\(383\) | 20.9845 | + | 13.4859i | 1.07226 | + | 0.689097i | 0.952756 | − | 0.303737i | \(-0.0982345\pi\) |
0.119500 | + | 0.992834i | \(0.461871\pi\) | |||||||
\(384\) | 29.2174 | − | 8.57900i | 1.49099 | − | 0.437795i | ||||
\(385\) | 0.434875 | − | 3.02463i | 0.0221633 | − | 0.154149i | ||||
\(386\) | 5.33979 | + | 11.6925i | 0.271788 | + | 0.595133i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.23140 | − | 1.43404i | 0.113282 | − | 0.0728022i | ||||
\(389\) | −22.5744 | + | 26.0523i | −1.14457 | + | 1.32090i | −0.204915 | + | 0.978780i | \(0.565692\pi\) |
−0.939655 | + | 0.342124i | \(0.888854\pi\) | |||||||
\(390\) | 35.1246 | 1.77860 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −12.2361 | −0.618015 | ||||||||
\(393\) | −7.74885 | + | 8.94265i | −0.390878 | + | 0.451097i | ||||
\(394\) | −10.1709 | + | 6.53644i | −0.512402 | + | 0.329301i | ||||
\(395\) | 3.19812 | + | 22.2434i | 0.160915 | + | 1.11919i | ||||
\(396\) | −0.392265 | − | 0.858940i | −0.0197120 | − | 0.0431634i | ||||
\(397\) | −0.343891 | + | 2.39181i | −0.0172594 | + | 0.120042i | −0.996630 | − | 0.0820321i | \(-0.973859\pi\) |
0.979370 | + | 0.202074i | \(0.0647681\pi\) | |||||||
\(398\) | −39.9118 | + | 11.7192i | −2.00060 | + | 0.587428i | ||||
\(399\) | 4.65034 | + | 2.98859i | 0.232808 | + | 0.149617i | ||||
\(400\) | −11.0344 | + | 24.1619i | −0.551719 | + | 1.20810i | ||||
\(401\) | −7.84898 | − | 2.30467i | −0.391959 | − | 0.115090i | 0.0798134 | − | 0.996810i | \(-0.474568\pi\) |
−0.471773 | + | 0.881720i | \(0.656386\pi\) | |||||||
\(402\) | −17.1445 | − | 19.7858i | −0.855089 | − | 0.986825i | ||||
\(403\) | 13.1788 | + | 15.2092i | 0.656484 | + | 0.757623i | ||||
\(404\) | 2.65197 | + | 0.778690i | 0.131941 | + | 0.0387413i | ||||
\(405\) | 14.7874 | − | 32.3799i | 0.734793 | − | 1.60897i | ||||
\(406\) | −5.04752 | − | 3.24384i | −0.250504 | − | 0.160989i | ||||
\(407\) | 2.37200 | − | 0.696481i | 0.117576 | − | 0.0345233i | ||||
\(408\) | −3.72585 | + | 25.9139i | −0.184457 | + | 1.28293i | ||||
\(409\) | −9.70438 | − | 21.2496i | −0.479851 | − | 1.05073i | −0.982505 | − | 0.186238i | \(-0.940370\pi\) |
0.502654 | − | 0.864488i | \(-0.332357\pi\) | |||||||
\(410\) | −4.07767 | − | 28.3608i | −0.201382 | − | 1.40064i | ||||
\(411\) | 26.1257 | − | 16.7900i | 1.28869 | − | 0.828189i | ||||
\(412\) | −7.35806 | + | 8.49165i | −0.362506 | + | 0.418354i | ||||
\(413\) | 3.05573 | 0.150363 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 42.8328 | 2.10258 | ||||||||
\(416\) | −6.64415 | + | 7.66776i | −0.325756 | + | 0.375943i | ||||
\(417\) | 5.09440 | − | 3.27397i | 0.249474 | − | 0.160327i | ||||
\(418\) | 0.351822 | + | 2.44697i | 0.0172082 | + | 0.119685i | ||||
\(419\) | −13.0508 | − | 28.5774i | −0.637576 | − | 1.39610i | −0.902020 | − | 0.431695i | \(-0.857916\pi\) |
0.264444 | − | 0.964401i | \(-0.414812\pi\) | |||||||
\(420\) | −0.786697 | + | 5.47160i | −0.0383869 | + | 0.266987i | ||||
\(421\) | 22.7479 | − | 6.67937i | 1.10866 | − | 0.325533i | 0.324374 | − | 0.945929i | \(-0.394846\pi\) |
0.784289 | + | 0.620396i | \(0.213028\pi\) | |||||||
\(422\) | −4.65034 | − | 2.98859i | −0.226375 | − | 0.145482i | ||||
\(423\) | 1.85779 | − | 4.06800i | 0.0903290 | − | 0.197793i | ||||
\(424\) | 18.1769 | + | 5.33722i | 0.882748 | + | 0.259198i | ||||
\(425\) | −18.7634 | − | 21.6541i | −0.910158 | − | 1.05038i | ||||
\(426\) | 18.3951 | + | 21.2291i | 0.891248 | + | 1.02855i | ||||
\(427\) | 12.9799 | + | 3.81124i | 0.628141 | + | 0.184439i | ||||
\(428\) | −3.44454 | + | 7.54248i | −0.166498 | + | 0.364580i | ||||
\(429\) | −4.31110 | − | 2.77057i | −0.208142 | − | 0.133765i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.76738 | − | 26.2027i | 0.181468 | − | 1.26214i | −0.671826 | − | 0.740709i | \(-0.734490\pi\) |
0.853294 | − | 0.521430i | \(-0.174601\pi\) | |||||||
\(432\) | 4.50896 | + | 9.87324i | 0.216937 | + | 0.475026i | ||||
\(433\) | −5.71826 | − | 39.7714i | −0.274802 | − | 1.91129i | −0.395256 | − | 0.918571i | \(-0.629344\pi\) |
0.120454 | − | 0.992719i | \(-0.461565\pi\) | |||||||
\(434\) | −11.2866 | + | 7.25346i | −0.541774 | + | 0.348177i | ||||
\(435\) | −14.2159 | + | 16.4060i | −0.681598 | + | 0.786606i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −55.9787 | −2.67477 | ||||||||
\(439\) | 3.46539 | − | 3.99927i | 0.165394 | − | 0.190875i | −0.667002 | − | 0.745056i | \(-0.732423\pi\) |
0.832396 | + | 0.554181i | \(0.186968\pi\) | |||||||
\(440\) | 4.65034 | − | 2.98859i | 0.221696 | − | 0.142475i | ||||
\(441\) | 1.55753 | + | 10.8329i | 0.0741682 | + | 0.515851i | ||||
\(442\) | −10.5584 | − | 23.1196i | −0.502210 | − | 1.09969i | ||||
\(443\) | 0.302364 | − | 2.10299i | 0.0143657 | − | 0.0999159i | −0.981377 | − | 0.192091i | \(-0.938473\pi\) |
0.995743 | + | 0.0921755i | \(0.0293821\pi\) | |||||||
\(444\) | −4.29098 | + | 1.25995i | −0.203641 | + | 0.0597944i | ||||
\(445\) | 4.15939 | + | 2.67308i | 0.197174 | + | 0.126716i | ||||
\(446\) | −2.68862 | + | 5.88726i | −0.127310 | + | 0.278770i | ||||
\(447\) | 25.5068 | + | 7.48946i | 1.20643 | + | 0.354239i | ||||
\(448\) | 3.42890 | + | 3.95716i | 0.162000 | + | 0.186958i | ||||
\(449\) | −1.92809 | − | 2.22513i | −0.0909921 | − | 0.105010i | 0.708427 | − | 0.705784i | \(-0.249405\pi\) |
−0.799420 | + | 0.600773i | \(0.794859\pi\) | |||||||
\(450\) | 16.9909 | + | 4.98898i | 0.800959 | + | 0.235183i | ||||
\(451\) | −1.73658 | + | 3.80257i | −0.0817722 | + | 0.179056i | ||||
\(452\) | 6.88174 | + | 4.42263i | 0.323690 | + | 0.208023i | ||||
\(453\) | 0.506482 | − | 0.148716i | 0.0237966 | − | 0.00698731i | ||||
\(454\) | 2.34423 | − | 16.3045i | 0.110020 | − | 0.765207i | ||||
\(455\) | 4.98498 | + | 10.9156i | 0.233699 | + | 0.511730i | ||||
\(456\) | 1.42315 | + | 9.89821i | 0.0666450 | + | 0.463526i | ||||
\(457\) | 29.5487 | − | 18.9898i | 1.38223 | − | 0.888305i | 0.382860 | − | 0.923806i | \(-0.374939\pi\) |
0.999370 | + | 0.0355009i | \(0.0113027\pi\) | |||||||
\(458\) | −12.7150 | + | 14.6739i | −0.594135 | + | 0.685668i | ||||
\(459\) | −11.7082 | −0.546492 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 7.47214 | 0.348012 | 0.174006 | − | 0.984745i | \(-0.444329\pi\) | ||||
0.174006 | + | 0.984745i | \(0.444329\pi\) | |||||||
\(462\) | 2.23727 | − | 2.58195i | 0.104087 | − | 0.120123i | ||||
\(463\) | −16.8251 | + | 10.8128i | −0.781927 | + | 0.502514i | −0.869673 | − | 0.493629i | \(-0.835670\pi\) |
0.0877454 | + | 0.996143i | \(0.472034\pi\) | |||||||
\(464\) | −2.07243 | − | 14.4141i | −0.0962102 | − | 0.669157i | ||||
\(465\) | 20.1647 | + | 44.1545i | 0.935114 | + | 2.04761i | ||||
\(466\) | −3.56277 | + | 24.7796i | −0.165042 | + | 1.14789i | ||||
\(467\) | 29.6908 | − | 8.71801i | 1.37393 | − | 0.403421i | 0.490276 | − | 0.871567i | \(-0.336896\pi\) |
0.883651 | + | 0.468146i | \(0.155078\pi\) | |||||||
\(468\) | 3.11954 | + | 2.00481i | 0.144201 | + | 0.0926722i | ||||
\(469\) | 3.71558 | − | 8.13600i | 0.171570 | − | 0.375685i | ||||
\(470\) | −11.2339 | − | 3.29858i | −0.518183 | − | 0.152152i | ||||
\(471\) | −22.5744 | − | 26.0523i | −1.04018 | − | 1.20043i | ||||
\(472\) | 3.61998 | + | 4.17768i | 0.166623 | + | 0.192293i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −10.4371 | + | 22.8542i | −0.479394 | + | 1.04973i | ||||
\(475\) | −9.20691 | − | 5.91692i | −0.422442 | − | 0.271487i | ||||
\(476\) | 3.83797 | − | 1.12693i | 0.175913 | − | 0.0516528i | ||||
\(477\) | 2.41142 | − | 16.7718i | 0.110411 | − | 0.767928i | ||||
\(478\) | −12.2575 | − | 26.8401i | −0.560644 | − | 1.22764i | ||||
\(479\) | 2.50428 | + | 17.4176i | 0.114423 | + | 0.795832i | 0.963528 | + | 0.267607i | \(0.0862330\pi\) |
−0.849105 | + | 0.528225i | \(0.822858\pi\) | |||||||
\(480\) | −20.5873 | + | 13.2306i | −0.939676 | + | 0.603893i | ||||
\(481\) | −6.35752 | + | 7.33697i | −0.289878 | + | 0.334537i | ||||
\(482\) | −27.7082 | −1.26207 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.43769 | −0.292622 | ||||||||
\(485\) | 9.09506 | − | 10.4963i | 0.412985 | − | 0.476611i | ||||
\(486\) | 24.3495 | − | 15.6485i | 1.10451 | − | 0.709828i | ||||
\(487\) | 0.183842 | + | 1.27865i | 0.00833066 | + | 0.0579410i | 0.993563 | − | 0.113283i | \(-0.0361368\pi\) |
−0.985232 | + | 0.171224i | \(0.945228\pi\) | |||||||
\(488\) | 10.1661 | + | 22.2606i | 0.460197 | + | 1.00769i | ||||
\(489\) | 3.25738 | − | 22.6556i | 0.147304 | − | 1.02452i | ||||
\(490\) | 27.4918 | − | 8.07234i | 1.24196 | − | 0.364671i | ||||
\(491\) | 33.3578 | + | 21.4377i | 1.50542 | + | 0.967472i | 0.994145 | + | 0.108052i | \(0.0344614\pi\) |
0.511271 | + | 0.859420i | \(0.329175\pi\) | |||||||
\(492\) | 3.14150 | − | 6.87892i | 0.141630 | − | 0.310125i | ||||
\(493\) | 15.0719 | + | 4.42551i | 0.678805 | + | 0.199315i | ||||
\(494\) | −6.35752 | − | 7.33697i | −0.286038 | − | 0.330106i | ||||
\(495\) | −3.23781 | − | 3.73663i | −0.145529 | − | 0.167949i | ||||
\(496\) | −31.2433 | − | 9.17386i | −1.40287 | − | 0.411919i | ||||
\(497\) | −3.98663 | + | 8.72951i | −0.178825 | + | 0.391572i | ||||
\(498\) | 40.2864 | + | 25.8905i | 1.80528 | + | 1.16018i | ||||
\(499\) | −31.3833 | + | 9.21497i | −1.40491 | + | 0.412519i | −0.894367 | − | 0.447334i | \(-0.852373\pi\) |
−0.510542 | + | 0.859853i | \(0.670555\pi\) | |||||||
\(500\) | 0.134384 | − | 0.934661i | 0.00600983 | − | 0.0417993i | ||||
\(501\) | 9.72753 | + | 21.3003i | 0.434594 | + | 0.951628i | ||||
\(502\) | 3.61713 | + | 25.1577i | 0.161441 | + | 1.12284i | ||||
\(503\) | −7.61816 | + | 4.89590i | −0.339677 | + | 0.218297i | −0.699347 | − | 0.714782i | \(-0.746526\pi\) |
0.359670 | + | 0.933080i | \(0.382889\pi\) | |||||||
\(504\) | 3.61998 | − | 4.17768i | 0.161247 | − | 0.186089i | ||||
\(505\) | 14.4721 | 0.644002 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.94427 | −0.397229 | ||||||||
\(508\) | 8.38115 | − | 9.67237i | 0.371854 | − | 0.429142i | ||||
\(509\) | 28.8592 | − | 18.5467i | 1.27916 | − | 0.822066i | 0.288376 | − | 0.957517i | \(-0.406885\pi\) |
0.990784 | + | 0.135451i | \(0.0432484\pi\) | |||||||
\(510\) | −8.72460 | − | 60.6810i | −0.386332 | − | 2.68700i | ||||
\(511\) | −7.94465 | − | 17.3964i | −0.351451 | − | 0.769570i | ||||
\(512\) | −0.753101 | + | 5.23793i | −0.0332827 | + | 0.231486i | ||||
\(513\) | −4.29098 | + | 1.25995i | −0.189452 | + | 0.0556280i | ||||
\(514\) | −2.00384 | − | 1.28779i | −0.0883855 | − | 0.0568019i | ||||
\(515\) | −24.4400 | + | 53.5162i | −1.07696 | + | 2.35821i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.11864 | + | 1.29097i | 0.0491975 | + | 0.0567770i | ||||
\(518\) | −4.23835 | − | 4.89131i | −0.186222 | − | 0.214912i | ||||
\(519\) | −10.8470 | − | 3.18497i | −0.476131 | − | 0.139805i | ||||
\(520\) | −9.01791 | + | 19.7465i | −0.395462 | + | 0.865940i | ||||
\(521\) | 3.85596 | + | 2.47808i | 0.168933 | + | 0.108567i | 0.622375 | − | 0.782719i | \(-0.286168\pi\) |
−0.453442 | + | 0.891286i | \(0.649804\pi\) | |||||||
\(522\) | −9.31495 | + | 2.73512i | −0.407704 | + | 0.119713i | ||||
\(523\) | −0.124581 | + | 0.866478i | −0.00544753 | + | 0.0378884i | −0.992364 | − | 0.123345i | \(-0.960638\pi\) |
0.986916 | + | 0.161233i | \(0.0515471\pi\) | |||||||
\(524\) | 1.35862 | + | 2.97496i | 0.0593515 | + | 0.129962i | ||||
\(525\) | 2.15246 | + | 14.9707i | 0.0939409 | + | 0.653373i | ||||
\(526\) | 20.3418 | − | 13.0729i | 0.886944 | − | 0.570005i | ||||
\(527\) | 23.0017 | − | 26.5454i | 1.00197 | − | 1.15634i | ||||
\(528\) | 8.29180 | 0.360854 | ||||||||
\(529\) | 0 | 0 | ||||||||
\(530\) | −44.3607 | −1.92690 | ||||||||
\(531\) | 3.23781 | − | 3.73663i | 0.140509 | − | 0.162156i | ||||
\(532\) | 1.28532 | − | 0.826026i | 0.0557257 | − | 0.0358128i | ||||
\(533\) | −2.33630 | − | 16.2493i | −0.101196 | − | 0.703836i | ||||
\(534\) | 2.29636 | + | 5.02832i | 0.0993731 | + | 0.217597i | ||||
\(535\) | −6.17880 | + | 42.9745i | −0.267133 | + | 1.85795i | ||||
\(536\) | 15.5249 | − | 4.55853i | 0.670575 | − | 0.196898i | ||||
\(537\) | −23.9054 | − | 15.3631i | −1.03159 | − | 0.662965i | ||||
\(538\) | −6.68410 | + | 14.6361i | −0.288172 | + | 0.631009i | ||||
\(539\) | −4.01101 | − | 1.17774i | −0.172766 | − | 0.0507288i | ||||
\(540\) | −2.92863 | − | 3.37981i | −0.126028 | − | 0.145444i | ||||
\(541\) | 4.96620 | + | 5.73130i | 0.213513 | + | 0.246408i | 0.852396 | − | 0.522896i | \(-0.175149\pi\) |
−0.638883 | + | 0.769304i | \(0.720603\pi\) | |||||||
\(542\) | 12.4199 | + | 3.64682i | 0.533482 | + | 0.156644i | ||||
\(543\) | −13.6106 | + | 29.8031i | −0.584088 | + | 1.27897i | ||||
\(544\) | 14.8971 | + | 9.57378i | 0.638707 | + | 0.410472i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −1.90935 | + | 13.2798i | −0.0817128 | + | 0.568325i | ||||
\(547\) | 15.5951 | + | 34.1485i | 0.666798 | + | 1.46008i | 0.876049 | + | 0.482223i | \(0.160170\pi\) |
−0.209250 | + | 0.977862i | \(0.567102\pi\) | |||||||
\(548\) | −1.22157 | − | 8.49622i | −0.0521830 | − | 0.362941i | ||||
\(549\) | 18.4138 | − | 11.8338i | 0.785882 | − | 0.505056i | ||||
\(550\) | −4.42943 | + | 5.11184i | −0.188872 | + | 0.217970i | ||||
\(551\) | 6.00000 | 0.255609 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.58359 | −0.365011 | ||||||||
\(554\) | 6.91684 | − | 7.98246i | 0.293868 | − | 0.339142i | ||||
\(555\) | −19.6991 | + | 12.6599i | −0.836182 | + | 0.537381i | ||||
\(556\) | −0.238201 | − | 1.65673i | −0.0101020 | − | 0.0702608i | ||||
\(557\) | 8.06587 | + | 17.6618i | 0.341762 | + | 0.748354i | 0.999990 | − | 0.00446452i | \(-0.00142111\pi\) |
−0.658228 | + | 0.752818i | \(0.728694\pi\) | |||||||
\(558\) | −3.08940 | + | 21.4872i | −0.130785 | + | 0.909628i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −16.3341 | − | 10.4973i | −0.690243 | − | 0.443592i | ||||
\(561\) | −3.71558 | + | 8.13600i | −0.156872 | + | 0.343502i | ||||
\(562\) | −20.5489 | − | 6.03370i | −0.866803 | − | 0.254516i | ||||
\(563\) | 9.85941 | + | 11.3784i | 0.415524 | + | 0.479541i | 0.924468 | − | 0.381259i | \(-0.124509\pi\) |
−0.508944 | + | 0.860800i | \(0.669964\pi\) | |||||||
\(564\) | −2.02363 | − | 2.33539i | −0.0852102 | − | 0.0983379i | ||||
\(565\) | 41.0978 | + | 12.0674i | 1.72900 | + | 0.507679i | ||||
\(566\) | −9.60631 | + | 21.0349i | −0.403783 | + | 0.884162i | ||||
\(567\) | 11.4383 | + | 7.35096i | 0.480364 | + | 0.308711i | ||||
\(568\) | −16.6575 | + | 4.89107i | −0.698931 | + | 0.205225i | ||||
\(569\) | −0.0256650 | + | 0.178504i | −0.00107593 | + | 0.00748329i | −0.990352 | − | 0.138572i | \(-0.955749\pi\) |
0.989276 | + | 0.146055i | \(0.0466578\pi\) | |||||||
\(570\) | −9.72753 | − | 21.3003i | −0.407441 | − | 0.892172i | ||||
\(571\) | 3.94329 | + | 27.4262i | 0.165021 | + | 1.14775i | 0.888993 | + | 0.457920i | \(0.151405\pi\) |
−0.723972 | + | 0.689830i | \(0.757685\pi\) | |||||||
\(572\) | −1.19156 | + | 0.765768i | −0.0498215 | + | 0.0320184i | ||||
\(573\) | 5.59318 | − | 6.45487i | 0.233658 | − | 0.269656i | ||||
\(574\) | 10.9443 | 0.456805 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 8.47214 | 0.353006 | ||||||||
\(577\) | 8.44020 | − | 9.74051i | 0.351370 | − | 0.405503i | −0.552360 | − | 0.833606i | \(-0.686273\pi\) |
0.903730 | + | 0.428103i | \(0.140818\pi\) | |||||||
\(578\) | −14.1786 | + | 9.11202i | −0.589751 | + | 0.379010i | ||||
\(579\) | 2.52807 | + | 17.5831i | 0.105063 | + | 0.730730i | ||||
\(580\) | 2.49249 | + | 5.45779i | 0.103495 | + | 0.226622i | ||||
\(581\) | −2.32837 | + | 16.1942i | −0.0965970 | + | 0.671847i | ||||
\(582\) | 14.8989 | − | 4.37470i | 0.617578 | − | 0.181337i | ||||
\(583\) | 5.44471 | + | 3.49910i | 0.225497 | + | 0.144918i | ||||
\(584\) | 14.3720 | − | 31.4703i | 0.594718 | − | 1.30225i | ||||
\(585\) | 18.6299 | + | 5.47023i | 0.770252 | + | 0.226166i | ||||
\(586\) | −11.0961 | − | 12.8056i | −0.458377 | − | 0.528996i | ||||
\(587\) | 7.39455 | + | 8.53377i | 0.305206 | + | 0.352226i | 0.887546 | − | 0.460719i | \(-0.152408\pi\) |
−0.582340 | + | 0.812945i | \(0.697863\pi\) | |||||||
\(588\) | 7.25598 | + | 2.13055i | 0.299232 | + | 0.0878623i | ||||
\(589\) | 5.57338 | − | 12.2040i | 0.229647 | − | 0.502857i | ||||
\(590\) | −10.8894 | − | 6.99820i | −0.448310 | − | 0.288111i | ||||
\(591\) | −16.0314 | + | 4.70725i | −0.659444 | + | 0.193630i | ||||
\(592\) | 2.23551 | − | 15.5483i | 0.0918789 | − | 0.639032i | ||||
\(593\) | 6.20807 | + | 13.5938i | 0.254935 | + | 0.558230i | 0.993219 | − | 0.116260i | \(-0.0370907\pi\) |
−0.738284 | + | 0.674490i | \(0.764363\pi\) | |||||||
\(594\) | 0.393349 | + | 2.73580i | 0.0161393 | + | 0.112251i | ||||
\(595\) | 17.6194 | − | 11.3233i | 0.722327 | − | 0.464211i | ||||
\(596\) | 4.81161 | − | 5.55289i | 0.197091 | − | 0.227455i | ||||
\(597\) | −57.4853 | −2.35272 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.88854 | −0.0771638 | −0.0385819 | − | 0.999255i | \(-0.512284\pi\) | ||||
−0.0385819 | + | 0.999255i | \(0.512284\pi\) | |||||||
\(600\) | −17.9174 | + | 20.6778i | −0.731476 | + | 0.844169i | ||||
\(601\) | 9.34755 | − | 6.00731i | 0.381295 | − | 0.245043i | −0.335927 | − | 0.941888i | \(-0.609050\pi\) |
0.717222 | + | 0.696845i | \(0.245413\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.01194 | − | 13.1643i | −0.244825 | − | 0.536092i | ||||
\(604\) | 0.0207635 | − | 0.144413i | 0.000844853 | − | 0.00587608i | ||||
\(605\) | −32.3428 | + | 9.49670i | −1.31492 | + | 0.386096i | ||||
\(606\) | 13.6118 | + | 8.74775i | 0.552940 | + | 0.355353i | ||||
\(607\) | 7.28134 | − | 15.9439i | 0.295540 | − | 0.647143i | −0.702366 | − | 0.711816i | \(-0.747873\pi\) |
0.997907 | + | 0.0646727i | \(0.0206003\pi\) | |||||||
\(608\) | 6.48995 | + | 1.90562i | 0.263202 | + | 0.0772831i | ||||
\(609\) | −5.42997 | − | 6.26652i | −0.220034 | − | 0.253932i | ||||
\(610\) | −37.5268 | − | 43.3082i | −1.51941 | − | 1.75350i | ||||
\(611\) | −6.43647 | − | 1.88992i | −0.260392 | − | 0.0764580i | ||||
\(612\) | 2.68862 | − | 5.88726i | 0.108681 | − | 0.237978i | ||||
\(613\) | −6.48455 | − | 4.16737i | −0.261909 | − | 0.168318i | 0.403096 | − | 0.915158i | \(-0.367934\pi\) |
−0.665005 | + | 0.746839i | \(0.731570\pi\) | |||||||
\(614\) | 28.6778 | − | 8.42058i | 1.15734 | − | 0.339827i | ||||
\(615\) | 5.63520 | − | 39.1937i | 0.227233 | − | 1.58044i | ||||
\(616\) | 0.877131 | + | 1.92065i | 0.0353406 | + | 0.0773851i | ||||
\(617\) | 2.34423 | + | 16.3045i | 0.0943751 | + | 0.656393i | 0.981015 | + | 0.193933i | \(0.0621243\pi\) |
−0.886640 | + | 0.462461i | \(0.846967\pi\) | |||||||
\(618\) | −55.3352 | + | 35.5618i | −2.22591 | + | 1.43050i | ||||
\(619\) | 4.85671 | − | 5.60495i | 0.195208 | − | 0.225282i | −0.649704 | − | 0.760187i | \(-0.725107\pi\) |
0.844912 | + | 0.534905i | \(0.179653\pi\) | |||||||
\(620\) | 13.4164 | 0.538816 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 14.8541 | 0.595595 | ||||||||
\(623\) | −1.23673 | + | 1.42727i | −0.0495487 | + | 0.0571822i | ||||
\(624\) | −27.3932 | + | 17.6045i | −1.09660 | + | 0.704744i | ||||
\(625\) | 3.19019 | + | 22.1882i | 0.127607 | + | 0.887530i | ||||
\(626\) | 13.6855 | + | 29.9672i | 0.546984 | + | 1.19773i | ||||
\(627\) | −0.486206 | + | 3.38163i | −0.0194172 | + | 0.135049i | ||||
\(628\) | −9.14192 | + | 2.68431i | −0.364802 | + | 0.107116i | ||||
\(629\) | 14.2544 | + | 9.16077i | 0.568361 | + | 0.365264i | ||||
\(630\) | −5.37724 | + | 11.7745i | −0.214235 | + | 0.469108i | ||||
\(631\) | 31.0498 | + | 9.11706i | 1.23607 | + | 0.362944i | 0.833539 | − | 0.552460i | \(-0.186311\pi\) |
0.402535 | + | 0.915404i | \(0.368129\pi\) | |||||||
\(632\) | −10.1686 | − | 11.7352i | −0.404485 | − | 0.466800i | ||||
\(633\) | −5.00269 | − | 5.77341i | −0.198839 | − | 0.229473i | ||||
\(634\) | −2.19896 | − | 0.645674i | −0.0873319 | − | 0.0256430i | ||||
\(635\) | 27.8383 | − | 60.9573i | 1.10473 | − | 2.41902i | ||||
\(636\) | −9.84957 | − | 6.32993i | −0.390561 | − | 0.250998i | ||||
\(637\) | 15.7514 | − | 4.62504i | 0.624094 | − | 0.183251i | ||||
\(638\) | 0.527732 | − | 3.67046i | 0.0208931 | − | 0.145315i | ||||
\(639\) | 6.45051 | + | 14.1246i | 0.255178 | + | 0.558762i | ||||
\(640\) | −6.27166 | − | 43.6203i | −0.247909 | − | 1.72424i | ||||
\(641\) | 38.1130 | − | 24.4937i | 1.50537 | − | 0.967443i | 0.511219 | − | 0.859450i | \(-0.329194\pi\) |
0.994152 | − | 0.107993i | \(-0.0344424\pi\) | |||||||
\(642\) | −31.7876 | + | 36.6849i | −1.25456 | + | 1.44784i | ||||
\(643\) | 19.5967 | 0.772820 | 0.386410 | − | 0.922327i | \(-0.373715\pi\) | ||||
0.386410 | + | 0.922327i | \(0.373715\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.0961 | + | 12.8056i | −0.436572 | + | 0.503831i | ||||
\(647\) | −5.64330 | + | 3.62673i | −0.221861 | + | 0.142581i | −0.646850 | − | 0.762617i | \(-0.723914\pi\) |
0.424989 | + | 0.905198i | \(0.360278\pi\) | |||||||
\(648\) | 3.50048 | + | 24.3464i | 0.137512 | + | 0.956416i | ||||
\(649\) | 0.784529 | + | 1.71788i | 0.0307955 | + | 0.0674327i | ||||
\(650\) | 3.78021 | − | 26.2919i | 0.148272 | − | 1.03125i | ||||
\(651\) | −17.7900 | + | 5.22361i | −0.697244 | + | 0.204729i | ||||
\(652\) | −5.32197 | − | 3.42022i | −0.208424 | − | 0.133946i | ||||
\(653\) | 10.0966 | − | 22.1086i | 0.395112 | − | 0.865175i | −0.602630 | − | 0.798020i | \(-0.705881\pi\) |
0.997743 | − | 0.0671545i | \(-0.0213920\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.2142 | + | 12.9419i | 0.438176 | + | 0.505683i | ||||
\(656\) | 17.3946 | + | 20.0745i | 0.679145 | + | 0.783776i | ||||
\(657\) | −29.6908 | − | 8.71801i | −1.15835 | − | 0.340122i | ||||
\(658\) | 1.85779 | − | 4.06800i | 0.0724243 | − | 0.158587i | ||||
\(659\) | 17.3740 | + | 11.1656i | 0.676794 | + | 0.434949i | 0.833369 | − | 0.552717i | \(-0.186409\pi\) |
−0.156575 | + | 0.987666i | \(0.550045\pi\) | |||||||
\(660\) | −3.27802 | + | 0.962513i | −0.127597 | + | 0.0374658i | ||||
\(661\) | 0.719505 | − | 5.00427i | 0.0279855 | − | 0.194643i | −0.971033 | − | 0.238947i | \(-0.923198\pi\) |
0.999018 | + | 0.0443035i | \(0.0141069\pi\) | |||||||
\(662\) | −7.83228 | − | 17.1503i | −0.304410 | − | 0.666565i | ||||
\(663\) | −4.99875 | − | 34.7671i | −0.194135 | − | 1.35024i | ||||
\(664\) | −24.8984 | + | 16.0012i | −0.966244 | + | 0.620967i | ||||
\(665\) | 5.23889 | − | 6.04600i | 0.203155 | − | 0.234454i | ||||
\(666\) | −10.4721 | −0.405787 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 6.47214 | 0.250414 | ||||||||
\(669\) | −5.85725 | + | 6.75963i | −0.226454 | + | 0.261342i | ||||
\(670\) | −31.8739 | + | 20.4841i | −1.23140 | + | 0.791370i | ||||
\(671\) | 1.18985 | + | 8.27558i | 0.0459336 | + | 0.319475i | ||||
\(672\) | −3.88310 | − | 8.50281i | −0.149794 | − | 0.328003i | ||||
\(673\) | −0.426945 | + | 2.96946i | −0.0164575 | + | 0.114464i | −0.996394 | − | 0.0848445i | \(-0.972961\pi\) |
0.979937 | + | 0.199309i | \(0.0638697\pi\) | |||||||
\(674\) | −5.30395 | + | 1.55738i | −0.204300 | + | 0.0599880i | ||||
\(675\) | −10.2936 | − | 6.61532i | −0.396202 | − | 0.254624i | ||||
\(676\) | −1.02696 | + | 2.24873i | −0.0394986 | + | 0.0864898i | ||||
\(677\) | −17.2709 | − | 5.07119i | −0.663774 | − | 0.194902i | −0.0675450 | − | 0.997716i | \(-0.521517\pi\) |
−0.596229 | + | 0.802815i | \(0.703335\pi\) | |||||||
\(678\) | 31.3603 | + | 36.1917i | 1.20439 | + | 1.38994i | ||||
\(679\) | 3.47400 | + | 4.00921i | 0.133320 | + | 0.153860i | ||||
\(680\) | 36.3538 | + | 10.6744i | 1.39410 | + | 0.409346i | ||||
\(681\) | 9.45648 | − | 20.7068i | 0.362373 | − | 0.793486i | ||||
\(682\) | −6.97550 | − | 4.48288i | −0.267106 | − | 0.171658i | ||||
\(683\) | 21.6814 | − | 6.36624i | 0.829617 | − | 0.243597i | 0.160764 | − | 0.986993i | \(-0.448604\pi\) |
0.668852 | + | 0.743395i | \(0.266786\pi\) | |||||||
\(684\) | 0.351822 | − | 2.44697i | 0.0134522 | − | 0.0935624i | ||||
\(685\) | −18.6705 | − | 40.8827i | −0.713364 | − | 1.56205i | ||||
\(686\) | 3.54994 | + | 24.6904i | 0.135537 | + | 0.942683i | ||||
\(687\) | −22.5732 | + | 14.5069i | −0.861221 | + | 0.553473i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −25.4164 | −0.968288 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.9443 | 0.948925 | 0.474462 | − | 0.880276i | \(-0.342642\pi\) | ||||
0.474462 | + | 0.880276i | \(0.342642\pi\) | |||||||
\(692\) | −2.04619 | + | 2.36142i | −0.0777843 | + | 0.0897679i | ||||
\(693\) | 1.58874 | − | 1.02102i | 0.0603514 | − | 0.0387855i | ||||
\(694\) | 5.96136 | + | 41.4622i | 0.226290 | + | 1.57388i | ||||
\(695\) | −3.64067 | − | 7.97195i | −0.138098 | − | 0.302393i | ||||
\(696\) | 2.13472 | − | 14.8473i | 0.0809165 | − | 0.562786i | ||||
\(697\) | −27.4918 | + | 8.07234i | −1.04133 | + | 0.305762i | ||||
\(698\) | 3.28916 | + | 2.11381i | 0.124496 | + | 0.0800090i | ||||
\(699\) | −14.3720 | + | 31.4703i | −0.543599 | + | 1.19032i | ||||
\(700\) | 4.01101 | + | 1.17774i | 0.151602 | + | 0.0445143i | ||||
\(701\) | 17.1445 | + | 19.7858i | 0.647538 | + | 0.747299i | 0.980689 | − | 0.195575i | \(-0.0626573\pi\) |
−0.333151 | + | 0.942874i | \(0.608112\pi\) | |||||||
\(702\) | −7.10793 | − | 8.20298i | −0.268271 | − | 0.309602i | ||||
\(703\) | 6.20997 | + | 1.82341i | 0.234213 | + | 0.0687713i | ||||
\(704\) | −1.34431 | + | 2.94363i | −0.0506656 | + | 0.110942i | ||||
\(705\) | −13.6118 | − | 8.74775i | −0.512649 | − | 0.329459i | ||||
\(706\) | −54.8972 | + | 16.1193i | −2.06608 | + | 0.606657i | ||||
\(707\) | −0.786697 | + | 5.47160i | −0.0295868 | + | 0.205781i | ||||
\(708\) | −1.41923 | − | 3.10767i | −0.0533378 | − | 0.116794i | ||||
\(709\) | −2.28684 | − | 15.9053i | −0.0858841 | − | 0.597337i | −0.986628 | − | 0.162987i | \(-0.947887\pi\) |
0.900744 | − | 0.434350i | \(-0.143022\pi\) | |||||||
\(710\) | 34.1990 | − | 21.9784i | 1.28347 | − | 0.824834i | ||||
\(711\) | −9.09506 | + | 10.4963i | −0.341091 | + | 0.393641i | ||||
\(712\) | −3.41641 | −0.128035 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 23.4164 | 0.876337 | ||||||||
\(715\) | −4.85671 | + | 5.60495i | −0.181631 | + | 0.209613i | ||||
\(716\) | −6.60729 | + | 4.24625i | −0.246926 | + | 0.158690i | ||||
\(717\) | −5.80318 | − | 40.3620i | −0.216724 | − | 1.50735i | ||||
\(718\) | −10.6796 | − | 23.3850i | −0.398558 | − | 0.872721i | ||||
\(719\) | 2.98068 | − | 20.7311i | 0.111161 | − | 0.773139i | −0.855633 | − | 0.517582i | \(-0.826832\pi\) |
0.966794 | − | 0.255557i | \(-0.0822588\pi\) | |||||||
\(720\) | −30.1438 | + | 8.85102i | −1.12339 | + | 0.329858i | ||||
\(721\) | −18.9048 | − | 12.1494i | −0.704050 | − | 0.452466i | ||||
\(722\) | 10.0823 | − | 22.0772i | 0.375226 | − | 0.821630i | ||||
\(723\) | −36.7407 | − | 10.7880i | −1.36640 | − | 0.401212i | ||||
\(724\) | 5.93024 | + | 6.84386i | 0.220396 | + | 0.254350i | ||||
\(725\) | 10.7505 | + | 12.4067i | 0.399262 | + | 0.460773i | ||||
\(726\) | −36.1603 | − | 10.6176i | −1.34204 | − | 0.394057i | ||||
\(727\) | −5.93703 | + | 13.0003i | −0.220192 | + | 0.482154i | −0.987201 | − | 0.159483i | \(-0.949017\pi\) |
0.767008 | + | 0.641637i | \(0.221744\pi\) | |||||||
\(728\) | −6.97550 | − | 4.48288i | −0.258529 | − | 0.166147i | ||||
\(729\) | 6.71645 | − | 1.97213i | 0.248757 | − | 0.0730418i | ||||
\(730\) | −11.5294 | + | 80.1886i | −0.426721 | + | 2.96791i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −2.15246 | − | 14.9707i | −0.0795571 | − | 0.553332i | ||||
\(733\) | −22.5153 | + | 14.4697i | −0.831620 | + | 0.534450i | −0.885792 | − | 0.464082i | \(-0.846384\pi\) |
0.0541724 | + | 0.998532i | \(0.482748\pi\) | |||||||
\(734\) | 19.2637 | − | 22.2314i | 0.711034 | − | 0.820577i | ||||
\(735\) | 39.5967 | 1.46055 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.52786 | 0.203621 | ||||||||
\(738\) | 11.5964 | − | 13.3830i | 0.426870 | − | 0.492634i | ||||
\(739\) | 41.3731 | − | 26.5889i | 1.52194 | − | 0.978088i | 0.530472 | − | 0.847702i | \(-0.322015\pi\) |
0.991463 | − | 0.130386i | \(-0.0416217\pi\) | |||||||
\(740\) | 0.921081 | + | 6.40626i | 0.0338596 | + | 0.235499i | ||||
\(741\) | −5.57338 | − | 12.2040i | −0.204743 | − | 0.448325i | ||||
\(742\) | 2.41142 | − | 16.7718i | 0.0885261 | − | 0.615712i | ||||
\(743\) | −0.839929 | + | 0.246625i | −0.0308140 | + | 0.00904781i | −0.297103 | − | 0.954845i | \(-0.596021\pi\) |
0.266289 | + | 0.963893i | \(0.414202\pi\) | |||||||
\(744\) | −28.2165 | − | 18.1336i | −1.03447 | − | 0.664812i | ||||
\(745\) | 15.9819 | − | 34.9955i | 0.585532 | − | 1.28214i | ||||
\(746\) | −8.86194 | − | 2.60210i | −0.324459 | − | 0.0952697i | ||||
\(747\) | 17.3356 | + | 20.0063i | 0.634275 | + | 0.731992i | ||||
\(748\) | 1.61890 | + | 1.86832i | 0.0591930 | + | 0.0683124i | ||||
\(749\) | −15.9118 | − | 4.67214i | −0.581406 | − | 0.170716i | ||||
\(750\) | 2.29636 | − | 5.02832i | 0.0838511 | − | 0.183608i | ||||
\(751\) | −37.3186 | − | 23.9832i | −1.36177 | − | 0.875159i | −0.363371 | − | 0.931645i | \(-0.618374\pi\) |
−0.998403 | + | 0.0564854i | \(0.982011\pi\) | |||||||
\(752\) | 10.4144 | − | 3.05795i | 0.379775 | − | 0.111512i | ||||
\(753\) | −4.99875 | + | 34.7671i | −0.182165 | + | 1.26698i | ||||
\(754\) | 6.04940 | + | 13.2463i | 0.220306 | + | 0.482403i | ||||
\(755\) | −0.108719 | − | 0.756156i | −0.00395668 | − | 0.0275193i | ||||
\(756\) | 1.43703 | − | 0.923525i | 0.0522644 | − | 0.0335883i | ||||
\(757\) | 31.1692 | − | 35.9712i | 1.13287 | − | 1.30740i | 0.187175 | − | 0.982327i | \(-0.440067\pi\) |
0.945690 | − | 0.325070i | \(-0.105388\pi\) | |||||||
\(758\) | 32.9443 | 1.19659 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 14.4721 | 0.524960 | ||||||||
\(761\) | 10.6775 | − | 12.3225i | 0.387058 | − | 0.446689i | −0.528465 | − | 0.848955i | \(-0.677232\pi\) |
0.915523 | + | 0.402267i | \(0.131777\pi\) | |||||||
\(762\) | 63.0292 | − | 40.5064i | 2.28331 | − | 1.46739i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −0.980662 | − | 2.14735i | −0.0354791 | − | 0.0776884i | ||||
\(765\) | 4.82284 | − | 33.5436i | 0.174370 | − | 1.21277i | ||||
\(766\) | 38.7258 | − | 11.3709i | 1.39922 | − | 0.410848i | ||||
\(767\) | −6.23908 | − | 4.00961i | −0.225280 | − | 0.144779i | ||||
\(768\) | 12.5980 | − | 27.5857i | 0.454590 | − | 0.995414i | ||||
\(769\) | −16.4309 | − | 4.82456i | −0.592515 | − | 0.173978i | −0.0282908 | − | 0.999600i | \(-0.509006\pi\) |
−0.564224 | + | 0.825622i | \(0.690825\pi\) | |||||||
\(770\) | −3.23781 | − | 3.73663i | −0.116683 | − | 0.134659i | ||||
\(771\) | −2.15567 | − | 2.48777i | −0.0776345 | − | 0.0895950i | ||||
\(772\) | 4.71095 | + | 1.38326i | 0.169551 | + | 0.0497846i | ||||
\(773\) | −6.01194 | + | 13.1643i | −0.216235 | + | 0.473488i | −0.986401 | − | 0.164355i | \(-0.947446\pi\) |
0.770167 | + | 0.637843i | \(0.220173\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 35.2213 | − | 10.3419i | 1.26519 | − | 0.371492i | ||||
\(776\) | −1.36576 | + | 9.49907i | −0.0490279 | + | 0.340997i | ||||
\(777\) | −3.71558 | − | 8.13600i | −0.133296 | − | 0.291877i | ||||
\(778\) | 7.93791 | + | 55.2094i | 0.284588 | + | 1.97935i | ||||
\(779\) | −9.20691 | + | 5.91692i | −0.329872 | + | 0.211996i | ||||
\(780\) | 8.78588 | − | 10.1394i | 0.314585 | − | 0.363050i | ||||
\(781\) | −5.93112 | −0.212232 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.70820 | 0.239732 | ||||||||
\(784\) | −17.3946 | + | 20.0745i | −0.621236 | + | 0.716945i | ||||
\(785\) | −41.9689 | + | 26.9718i | −1.49793 | + | 0.962664i | ||||
\(786\) | 2.72475 | + | 18.9510i | 0.0971884 | + | 0.675961i | ||||
\(787\) | 21.3591 | + | 46.7700i | 0.761371 | + | 1.66717i | 0.744781 | + | 0.667308i | \(0.232554\pi\) |
0.0165899 | + | 0.999862i | \(0.494719\pi\) | |||||||
\(788\) | −0.657215 | + | 4.57103i | −0.0234123 | + | 0.162836i | ||||
\(789\) | 32.0628 | − | 9.41449i | 1.14147 | − | 0.335165i | ||||
\(790\) | 30.5886 | + | 19.6581i | 1.08829 | + | 0.699403i | ||||
\(791\) | −6.79647 | + | 14.8822i | −0.241655 | + | 0.529150i | ||||
\(792\) | 3.27802 | + | 0.962513i | 0.116479 | + | 0.0342014i | ||||
\(793\) | −21.5009 | − | 24.8134i | −0.763520 | − | 0.881149i | ||||
\(794\) | 2.56039 | + | 2.95485i | 0.0908650 | + | 0.104864i | ||||
\(795\) | −58.8217 | − | 17.2716i | −2.08619 | − | 0.612561i | ||||
\(796\) | −6.60034 | + | 14.4527i | −0.233943 | + | 0.512263i | ||||
\(797\) | 8.71596 | + | 5.60141i | 0.308735 | + | 0.198412i | 0.685828 | − | 0.727763i | \(-0.259440\pi\) |
−0.377093 | + | 0.926175i | \(0.623076\pi\) | |||||||
\(798\) | 8.58197 | − | 2.51989i | 0.303798 | − | 0.0892032i | ||||
\(799\) | −1.66625 | + | 11.5890i | −0.0589477 | + | 0.409990i | ||||
\(800\) | 7.68791 | + | 16.8342i | 0.271809 | + | 0.595178i | ||||
\(801\) | 0.434875 | + | 3.02463i | 0.0153656 | + | 0.106870i | ||||
\(802\) | −11.1349 | + | 7.15596i | −0.393187 | + | 0.252686i | ||||
\(803\) | 7.74023 | − | 8.93270i | 0.273147 | − | 0.315228i | ||||
\(804\) | −10.0000 | −0.352673 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 32.5623 | 1.14696 | ||||||||
\(807\) | −14.5615 | + | 16.8049i | −0.512590 | + | 0.591560i | ||||
\(808\) | −8.41254 | + | 5.40641i | −0.295952 | + | 0.190197i | ||||
\(809\) | −6.81525 | − | 47.4011i | −0.239611 | − | 1.66653i | −0.654046 | − | 0.756455i | \(-0.726930\pi\) |
0.414434 | − | 0.910079i | \(-0.363979\pi\) | |||||||
\(810\) | −23.9266 | − | 52.3918i | −0.840693 | − | 1.84086i | ||||
\(811\) | 7.92017 | − | 55.0860i | 0.278115 | − | 1.93433i | −0.0715057 | − | 0.997440i | \(-0.522780\pi\) |
0.349621 | − | 0.936891i | \(-0.386311\pi\) | |||||||
\(812\) | −2.19896 | + | 0.645674i | −0.0771684 | + | 0.0226587i | ||||
\(813\) | 15.0488 | + | 9.67128i | 0.527784 | + | 0.339186i | ||||
\(814\) | 1.66166 | − | 3.63853i | 0.0582412 | − | 0.127530i | ||||
\(815\) | −31.7828 | − | 9.33228i | −1.11330 | − | 0.326896i | ||||
\(816\) | 37.2176 | + | 42.9514i | 1.30288 | + | 1.50360i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −36.2673 | − | 10.6490i | −1.26806 | − | 0.372335i | ||||
\(819\) | −3.08089 | + | 6.74620i | −0.107655 | + | 0.235731i | ||||
\(820\) | −9.20691 | − | 5.91692i | −0.321519 | − | 0.206628i | ||||
\(821\) | 20.2028 | − | 5.93208i | 0.705083 | − | 0.207031i | 0.0905154 | − | 0.995895i | \(-0.471149\pi\) |
0.614568 | + | 0.788864i | \(0.289330\pi\) | |||||||
\(822\) | 7.15121 | − | 49.7378i | 0.249427 | − | 1.73480i | ||||
\(823\) | 11.4410 | + | 25.0522i | 0.398807 | + | 0.873265i | 0.997390 | + | 0.0722040i | \(0.0230033\pi\) |
−0.598583 | + | 0.801061i | \(0.704269\pi\) | |||||||
\(824\) | −5.78545 | − | 40.2387i | −0.201546 | − | 1.40178i | ||||
\(825\) | −7.86364 | + | 5.05365i | −0.273777 | + | 0.175946i | ||||
\(826\) | 3.23781 | − | 3.73663i | 0.112658 | − | 0.130014i | ||||
\(827\) | 10.4721 | 0.364152 | 0.182076 | − | 0.983284i | \(-0.441718\pi\) | ||||
0.182076 | + | 0.983284i | \(0.441718\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −40.2492 | −1.39791 | −0.698957 | − | 0.715164i | \(-0.746352\pi\) | ||||
−0.698957 | + | 0.715164i | \(0.746352\pi\) | |||||||
\(830\) | 45.3851 | − | 52.3772i | 1.57534 | − | 1.81804i | ||||
\(831\) | 12.2796 | − | 7.89160i | 0.425973 | − | 0.273756i | ||||
\(832\) | −1.80857 | − | 12.5789i | −0.0627007 | − | 0.436093i | ||||
\(833\) | −11.9027 | − | 26.0632i | −0.412403 | − | 0.903037i | ||||
\(834\) | 1.39445 | − | 9.69864i | 0.0482860 | − | 0.335836i | ||||
\(835\) | 32.5158 | − | 9.54751i | 1.12526 | − | 0.330405i | ||||
\(836\) | 0.794372 | + | 0.510512i | 0.0274739 | + | 0.0176564i | ||||
\(837\) | 6.23123 | − | 13.6445i | 0.215383 | − | 0.471622i | ||||
\(838\) | −48.7737 | − | 14.3213i | −1.68486 | − | 0.494720i | ||||
\(839\) | 0.573257 | + | 0.661574i | 0.0197910 | + | 0.0228401i | 0.765559 | − | 0.643366i | \(-0.222463\pi\) |
−0.745768 | + | 0.666206i | \(0.767917\pi\) | |||||||
\(840\) | −13.0972 | − | 15.1150i | −0.451897 | − | 0.521517i | ||||
\(841\) | 19.1899 | + | 5.63465i | 0.661719 | + | 0.194298i | ||||
\(842\) | 15.9356 | − | 34.8941i | 0.549177 | − | 1.20253i | ||||
\(843\) | −24.8984 | − | 16.0012i | −0.857545 | − | 0.551111i | ||||
\(844\) | −2.02593 | + | 0.594866i | −0.0697353 | + | 0.0204761i | ||||
\(845\) | −1.84216 | + | 12.8125i | −0.0633723 | + | 0.440764i | ||||
\(846\) | −3.00597 | − | 6.58216i | −0.103347 | − | 0.226299i | ||||
\(847\) | −1.83236 | − | 12.7443i | −0.0629606 | − | 0.437901i | ||||
\(848\) | 34.5962 | − | 22.2336i | 1.18804 | − | 0.763506i | ||||
\(849\) | −20.9277 | + | 24.1518i | −0.718236 | + | 0.828888i | ||||
\(850\) | −46.3607 | −1.59016 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 10.7295 | 0.367586 | ||||||||
\(853\) | 24.5025 | − | 28.2774i | 0.838951 | − | 0.968201i | −0.160873 | − | 0.986975i | \(-0.551431\pi\) |
0.999824 | + | 0.0187742i | \(0.00597637\pi\) | |||||||
\(854\) | 18.4138 | − | 11.8338i | 0.630108 | − | 0.404946i | ||||
\(855\) | −1.84216 | − | 12.8125i | −0.0630006 | − | 0.438179i | ||||
\(856\) | −12.4625 | − | 27.2890i | −0.425958 | − | 0.932717i | ||||
\(857\) | 1.06340 | − | 7.39608i | 0.0363249 | − | 0.252645i | −0.963565 | − | 0.267474i | \(-0.913811\pi\) |
0.999890 | + | 0.0148285i | \(0.00472022\pi\) | |||||||
\(858\) | −7.95592 | + | 2.33607i | −0.271611 | + | 0.0797521i | ||||
\(859\) | −2.76924 | − | 1.77968i | −0.0944851 | − | 0.0607219i | 0.492545 | − | 0.870287i | \(-0.336067\pi\) |
−0.587030 | + | 0.809565i | \(0.699703\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 14.5120 | + | 4.26110i | 0.494566 | + | 0.145218i | ||||
\(862\) | −28.0495 | − | 32.3709i | −0.955371 | − | 1.10256i | ||||
\(863\) | −29.8230 | − | 34.4176i | −1.01519 | − | 1.17159i | −0.985090 | − | 0.172042i | \(-0.944964\pi\) |
−0.0300980 | − | 0.999547i | \(-0.509582\pi\) | |||||||
\(864\) | 7.25598 | + | 2.13055i | 0.246853 | + | 0.0724827i | ||||
\(865\) | −6.79647 | + | 14.8822i | −0.231087 | + | 0.506010i | ||||
\(866\) | −54.6925 | − | 35.1488i | −1.85853 | − | 1.19440i | ||||
\(867\) | −22.3483 | + | 6.56206i | −0.758989 | + | 0.222859i | ||||
\(868\) | −0.729308 | + | 5.07245i | −0.0247543 | + | 0.172170i | ||||
\(869\) | −2.20376 | − | 4.82555i | −0.0747573 | − | 0.163696i | ||||
\(870\) | 4.99875 | + | 34.7671i | 0.169474 | + | 1.17871i | ||||
\(871\) | −18.2621 | + | 11.7363i | −0.618788 | + | 0.397671i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 8.58359 | 0.290511 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 1.88854 | 0.0638444 | ||||||||
\(876\) | −14.0022 | + | 16.1594i | −0.473091 | + | 0.545976i | ||||
\(877\) | −23.1579 | + | 14.8827i | −0.781987 | + | 0.502553i | −0.869693 | − | 0.493594i | \(-0.835683\pi\) |
0.0877054 | + | 0.996146i | \(0.472047\pi\) | |||||||
\(878\) | −1.21854 | − | 8.47515i | −0.0411238 | − | 0.286023i | ||||
\(879\) | −9.72753 | − | 21.3003i | −0.328101 | − | 0.718442i | ||||
\(880\) | 1.70778 | − | 11.8779i | 0.0575692 | − | 0.400402i | ||||
\(881\) | −20.9358 | + | 6.14731i | −0.705345 | + | 0.207108i | −0.614684 | − | 0.788774i | \(-0.710716\pi\) |
−0.0906616 | + | 0.995882i | \(0.528898\pi\) | |||||||
\(882\) | 14.8971 | + | 9.57378i | 0.501611 | + | 0.322366i | ||||
\(883\) | 1.66166 | − | 3.63853i | 0.0559193 | − | 0.122446i | −0.879610 | − | 0.475696i | \(-0.842196\pi\) |
0.935529 | + | 0.353250i | \(0.114923\pi\) | |||||||
\(884\) | −9.31495 | − | 2.73512i | −0.313296 | − | 0.0919919i | ||||
\(885\) | −11.7145 | − | 13.5193i | −0.393779 | − | 0.454445i | ||||
\(886\) | −2.25121 | − | 2.59804i | −0.0756309 | − | 0.0872827i | ||||
\(887\) | 33.6483 | + | 9.88005i | 1.12980 | + | 0.331739i | 0.792629 | − | 0.609704i | \(-0.208712\pi\) |
0.337172 | + | 0.941443i | \(0.390530\pi\) | |||||||
\(888\) | 6.72156 | − | 14.7182i | 0.225561 | − | 0.493909i | ||||
\(889\) | 21.5334 | + | 13.8386i | 0.722206 | + | 0.464133i | ||||
\(890\) | 7.67594 | − | 2.25386i | 0.257298 | − | 0.0755496i | ||||
\(891\) | −1.19591 | + | 8.31772i | −0.0400644 | + | 0.278654i | ||||
\(892\) | 1.02696 | + | 2.24873i | 0.0343852 | + | 0.0752932i | ||||
\(893\) | 0.636451 | + | 4.42662i | 0.0212980 | + | 0.148131i | ||||
\(894\) | 36.1850 | − | 23.2547i | 1.21021 | − | 0.777752i | ||||
\(895\) | −26.9309 | + | 31.0799i | −0.900200 | + | 1.03889i | ||||
\(896\) | 16.8328 | 0.562345 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.76393 | −0.158974 | ||||||||
\(899\) | −13.1788 | + | 15.2092i | −0.439538 | + | 0.507254i | ||||
\(900\) | 5.69018 | − | 3.65686i | 0.189673 | − | 0.121895i | ||||
\(901\) | 6.31318 | + | 43.9092i | 0.210323 | + | 1.46283i | ||||
\(902\) | 2.80984 | + | 6.15269i | 0.0935574 | + | 0.204862i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −28.3979 | + | 8.33837i | −0.944499 | + | 0.277330i | ||||
\(905\) | 39.8892 | + | 25.6352i | 1.32596 | + | 0.852144i | ||||
\(906\) | 0.354807 | − | 0.776918i | 0.0117877 | − | 0.0258114i | ||||
\(907\) | −38.6188 | − | 11.3395i | −1.28232 | − | 0.376522i | −0.431562 | − | 0.902083i | \(-0.642037\pi\) |
−0.850756 | + | 0.525561i | \(0.823855\pi\) | |||||||
\(908\) | −4.12025 | − | 4.75502i | −0.136735 | − | 0.157801i | ||||
\(909\) | 5.85725 | + | 6.75963i | 0.194273 | + | 0.224203i | ||||
\(910\) | 18.6299 | + | 5.47023i | 0.617575 | + | 0.181336i | ||||
\(911\) | −13.0045 | + | 28.4760i | −0.430860 | + | 0.943451i | 0.562327 | + | 0.826915i | \(0.309906\pi\) |
−0.993186 | + | 0.116536i | \(0.962821\pi\) | |||||||
\(912\) | 18.2621 | + | 11.7363i | 0.604719 | + | 0.388629i | ||||
\(913\) | −9.70187 | + | 2.84873i | −0.321085 | + | 0.0942791i | ||||
\(914\) | 8.08815 | − | 56.2543i | 0.267532 | − | 1.86073i | ||||
\(915\) | −32.8982 | − | 72.0369i | −1.08758 | − | 2.38147i | ||||
\(916\) | 1.05546 | + | 7.34092i | 0.0348735 | + | 0.242551i | ||||
\(917\) | −5.50266 | + | 3.53634i | −0.181714 | + | 0.116780i | ||||
\(918\) | −12.4059 | + | 14.3171i | −0.409454 | + | 0.472536i | ||||
\(919\) | 0.875388 | 0.0288764 | 0.0144382 | − | 0.999896i | \(-0.495404\pi\) | ||||
0.0144382 | + | 0.999896i | \(0.495404\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 41.3050 | 1.36104 | ||||||||
\(922\) | 7.91738 | − | 9.13714i | 0.260745 | − | 0.300916i | ||||
\(923\) | 19.5943 | − | 12.5925i | 0.644954 | − | 0.414487i | ||||
\(924\) | −0.185714 | − | 1.29167i | −0.00610954 | − | 0.0424928i | ||||
\(925\) | 7.35625 | + | 16.1079i | 0.241872 | + | 0.529626i | ||||
\(926\) | −4.60540 | + | 32.0313i | −0.151343 | + | 1.05261i | ||||
\(927\) | −34.8878 | + | 10.2440i | −1.14587 | + | 0.336457i | ||||
\(928\) | −8.53527 | − | 5.48529i | −0.280184 | − | 0.180063i | ||||
\(929\) | −17.4243 | + | 38.1539i | −0.571672 | + | 1.25179i | 0.374230 | + | 0.927336i | \(0.377907\pi\) |
−0.945902 | + | 0.324451i | \(0.894820\pi\) | |||||||
\(930\) | 75.3596 | + | 22.1276i | 2.47114 | + | 0.725591i | ||||
\(931\) | −7.16697 | − | 8.27113i | −0.234888 | − | 0.271075i | ||||
\(932\) | 6.26198 | + | 7.22671i | 0.205118 | + | 0.236719i | ||||
\(933\) | 19.6963 | + | 5.78337i | 0.644829 | + | 0.189339i | ||||
\(934\) | 20.7994 | − | 45.5443i | 0.680576 | − | 1.49025i | ||||
\(935\) | 10.8894 | + | 6.99820i | 0.356122 | + | 0.228866i | ||||
\(936\) | −12.8729 | + | 3.77984i | −0.420766 | + | 0.123548i | ||||
\(937\) | −1.68211 | + | 11.6994i | −0.0549522 | + | 0.382201i | 0.943723 | + | 0.330738i | \(0.107298\pi\) |
−0.998675 | + | 0.0514633i | \(0.983611\pi\) | |||||||
\(938\) | −6.01194 | − | 13.1643i | −0.196297 | − | 0.429830i | ||||
\(939\) | 6.47929 | + | 45.0645i | 0.211444 | + | 1.47062i | ||||
\(940\) | −3.76220 | + | 2.41782i | −0.122709 | + | 0.0788606i | ||||
\(941\) | 16.1439 | − | 18.6311i | 0.526277 | − | 0.607356i | −0.428914 | − | 0.903345i | \(-0.641104\pi\) |
0.955191 | + | 0.295989i | \(0.0956491\pi\) | |||||||
\(942\) | −55.7771 | −1.81732 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 12.0000 | 0.390567 | ||||||||
\(945\) | 5.85725 | − | 6.75963i | 0.190536 | − | 0.219891i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.72205 | + | 32.8426i | 0.153446 | + | 1.06724i | 0.910387 | + | 0.413758i | \(0.135784\pi\) |
−0.756941 | + | 0.653484i | \(0.773307\pi\) | |||||||
\(948\) | 3.98663 | + | 8.72951i | 0.129480 | + | 0.283521i | ||||
\(949\) | −6.60574 | + | 45.9440i | −0.214432 | + | 1.49140i | ||||
\(950\) | −16.9909 | + | 4.98898i | −0.551257 | + | 0.161864i | ||||
\(951\) | −2.66440 | − | 1.71231i | −0.0863993 | − | 0.0555254i | ||||
\(952\) | −6.01194 | + | 13.1643i | −0.194848 | + | 0.426658i | ||||
\(953\) | −11.0609 | − | 3.24777i | −0.358298 | − | 0.105206i | 0.0976293 | − | 0.995223i | \(-0.468874\pi\) |
−0.455927 | + | 0.890017i | \(0.650692\pi\) | |||||||
\(954\) | −17.9539 | − | 20.7199i | −0.581280 | − | 0.670833i | ||||
\(955\) | −8.09452 | − | 9.34158i | −0.261933 | − | 0.302286i | ||||
\(956\) | −10.8140 | − | 3.17527i | −0.349749 | − | 0.102696i | ||||
\(957\) | 2.12884 | − | 4.66151i | 0.0688156 | − | 0.150685i | ||||
\(958\) | 23.9523 | + | 15.3932i | 0.773863 | + | 0.497332i | ||||
\(959\) | 16.4718 | − | 4.83655i | 0.531902 | − | 0.156180i | ||||
\(960\) | 4.36230 | − | 30.3405i | 0.140793 | − | 0.979235i | ||||
\(961\) | 5.81581 | + | 12.7348i | 0.187607 | + | 0.410802i | ||||
\(962\) | 2.23551 | + | 15.5483i | 0.0720758 | + | 0.501298i | ||||
\(963\) | −22.5732 | + | 14.5069i | −0.727411 | + | 0.467479i | ||||
\(964\) | −6.93078 | + | 7.99855i | −0.223225 | + | 0.257616i | ||||
\(965\) | 25.7082 | 0.827576 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −39.5410 | −1.27155 | −0.635777 | − | 0.771873i | \(-0.719320\pi\) | ||||
−0.635777 | + | 0.771873i | \(0.719320\pi\) | |||||||
\(968\) | 15.2529 | − | 17.6028i | 0.490246 | − | 0.565774i | ||||
\(969\) | −19.6991 | + | 12.6599i | −0.632827 | + | 0.406693i | ||||
\(970\) | −3.19812 | − | 22.2434i | −0.102685 | − | 0.714193i | ||||
\(971\) | 3.12719 | + | 6.84759i | 0.100356 | + | 0.219749i | 0.953150 | − | 0.302499i | \(-0.0978208\pi\) |
−0.852794 | + | 0.522248i | \(0.825093\pi\) | |||||||
\(972\) | 1.57339 | − | 10.9432i | 0.0504666 | − | 0.351003i | ||||
\(973\) | 3.21193 | − | 0.943107i | 0.102970 | − | 0.0302346i | ||||
\(974\) | 1.75836 | + | 1.13003i | 0.0563416 | + | 0.0362085i | ||||
\(975\) | 15.2491 | − | 33.3910i | 0.488363 | − | 1.06937i | ||||
\(976\) | 50.9727 | + | 14.9669i | 1.63160 | + | 0.479080i | ||||
\(977\) | 35.7898 | + | 41.3036i | 1.14502 | + | 1.32142i | 0.939415 | + | 0.342783i | \(0.111370\pi\) |
0.205601 | + | 0.978636i | \(0.434085\pi\) | |||||||
\(978\) | −24.2524 | − | 27.9888i | −0.775506 | − | 0.894982i | ||||
\(979\) | −1.11991 | − | 0.328834i | −0.0357923 | − | 0.0105096i | ||||
\(980\) | 4.54641 | − | 9.95526i | 0.145230 | − | 0.318009i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 61.5602 | − | 18.0757i | 1.96446 | − | 0.576819i | ||||
\(983\) | 4.48688 | − | 31.2070i | 0.143109 | − | 0.995347i | −0.784055 | − | 0.620692i | \(-0.786852\pi\) |
0.927164 | − | 0.374656i | \(-0.122239\pi\) | |||||||
\(984\) | 11.3660 | + | 24.8881i | 0.362336 | + | 0.793405i | ||||
\(985\) | 3.44122 | + | 23.9342i | 0.109646 | + | 0.762608i | ||||
\(986\) | 21.3816 | − | 13.7411i | 0.680930 | − | 0.437607i | ||||
\(987\) | 4.04726 | − | 4.67079i | 0.128826 | − | 0.148673i | ||||
\(988\) | −3.70820 | −0.117974 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | −8.00000 | −0.254257 | ||||||||
\(991\) | −15.7167 | + | 18.1380i | −0.499256 | + | 0.576172i | −0.948315 | − | 0.317330i | \(-0.897214\pi\) |
0.449059 | + | 0.893502i | \(0.351759\pi\) | |||||||
\(992\) | −19.0854 | + | 12.2655i | −0.605964 | + | 0.389429i | ||||
\(993\) | −3.70812 | − | 25.7905i | −0.117674 | − | 0.818437i | ||||
\(994\) | 6.45051 | + | 14.1246i | 0.204598 | + | 0.448006i | ||||
\(995\) | −11.8397 | + | 82.3467i | −0.375343 | + | 2.61057i | ||||
\(996\) | 17.5508 | − | 5.15339i | 0.556120 | − | 0.163292i | ||||
\(997\) | −30.9857 | − | 19.9133i | −0.981328 | − | 0.630661i | −0.0515068 | − | 0.998673i | \(-0.516402\pi\) |
−0.929821 | + | 0.368011i | \(0.880039\pi\) | |||||||
\(998\) | −21.9850 | + | 48.1404i | −0.695923 | + | 1.52386i | ||||
\(999\) | 6.94296 | + | 2.03864i | 0.219665 | + | 0.0644996i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))