Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(37,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([9, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.v (of order \(20\), degree \(8\), 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: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 113.40 | ||
Character | \(\chi\) | \(=\) | 475.113 |
Dual form | 475.2.v.b.227.40 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{19}{20}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.342643 | + | 2.16336i | 0.242285 | + | 1.52973i | 0.746051 | + | 0.665889i | \(0.231948\pi\) |
−0.503766 | + | 0.863840i | \(0.668052\pi\) | |||||||
\(3\) | 1.83797 | + | 0.936494i | 1.06115 | + | 0.540685i | 0.895299 | − | 0.445465i | \(-0.146962\pi\) |
0.165855 | + | 0.986150i | \(0.446962\pi\) | |||||||
\(4\) | −2.66063 | + | 0.864490i | −1.33031 | + | 0.432245i | ||||
\(5\) | 2.23140 | − | 0.144412i | 0.997912 | − | 0.0645831i | ||||
\(6\) | −1.39621 | + | 4.29709i | −0.570000 | + | 1.75428i | ||||
\(7\) | 2.03794 | − | 2.03794i | 0.770270 | − | 0.770270i | −0.207883 | − | 0.978154i | \(-0.566657\pi\) |
0.978154 | + | 0.207883i | \(0.0666575\pi\) | |||||||
\(8\) | −0.793074 | − | 1.55649i | −0.280394 | − | 0.550304i | ||||
\(9\) | 0.737769 | + | 1.01545i | 0.245923 | + | 0.338484i | ||||
\(10\) | 1.07699 | + | 4.77785i | 0.340574 | + | 1.51089i | ||||
\(11\) | −3.85460 | − | 2.80053i | −1.16221 | − | 0.844392i | −0.172151 | − | 0.985071i | \(-0.555072\pi\) |
−0.990055 | + | 0.140678i | \(0.955072\pi\) | |||||||
\(12\) | −5.69975 | − | 0.902752i | −1.64538 | − | 0.260602i | ||||
\(13\) | −0.439617 | + | 2.77563i | −0.121928 | + | 0.769822i | 0.848636 | + | 0.528978i | \(0.177424\pi\) |
−0.970564 | + | 0.240845i | \(0.922576\pi\) | |||||||
\(14\) | 5.10710 | + | 3.71053i | 1.36493 | + | 0.991680i | ||||
\(15\) | 4.23649 | + | 1.82427i | 1.09386 | + | 0.471024i | ||||
\(16\) | −1.43100 | + | 1.03969i | −0.357751 | + | 0.259921i | ||||
\(17\) | 3.20131 | + | 6.28292i | 0.776431 | + | 1.52383i | 0.850143 | + | 0.526552i | \(0.176516\pi\) |
−0.0737117 | + | 0.997280i | \(0.523484\pi\) | |||||||
\(18\) | −1.94400 | + | 1.94400i | −0.458205 | + | 0.458205i | ||||
\(19\) | −4.19944 | − | 1.16820i | −0.963418 | − | 0.268003i | ||||
\(20\) | −5.81208 | + | 2.31325i | −1.29962 | + | 0.517258i | ||||
\(21\) | 5.65421 | − | 1.83716i | 1.23385 | − | 0.400902i | ||||
\(22\) | 4.73782 | − | 9.29849i | 1.01011 | − | 1.98244i | ||||
\(23\) | −0.767791 | − | 4.84764i | −0.160096 | − | 1.01080i | −0.928633 | − | 0.370999i | \(-0.879015\pi\) |
0.768538 | − | 0.639805i | \(-0.220985\pi\) | |||||||
\(24\) | − | 3.60351i | − | 0.735562i | ||||||
\(25\) | 4.95829 | − | 0.644483i | 0.991658 | − | 0.128897i | ||||
\(26\) | −6.15534 | −1.20716 | ||||||||
\(27\) | −0.563047 | − | 3.55494i | −0.108358 | − | 0.684148i | ||||
\(28\) | −3.66042 | + | 7.18399i | −0.691755 | + | 1.35765i | ||||
\(29\) | 1.29261 | + | 3.97824i | 0.240031 | + | 0.738740i | 0.996414 | + | 0.0846108i | \(0.0269647\pi\) |
−0.756383 | + | 0.654129i | \(0.773035\pi\) | |||||||
\(30\) | −2.49495 | + | 9.79015i | −0.455513 | + | 1.78743i | ||||
\(31\) | −5.55484 | − | 1.80488i | −0.997678 | − | 0.324165i | −0.235741 | − | 0.971816i | \(-0.575752\pi\) |
−0.761937 | + | 0.647651i | \(0.775752\pi\) | |||||||
\(32\) | −5.21003 | − | 5.21003i | −0.921011 | − | 0.921011i | ||||
\(33\) | −4.46197 | − | 8.75711i | −0.776730 | − | 1.52442i | ||||
\(34\) | −12.4953 | + | 9.07839i | −2.14293 | + | 1.55693i | ||||
\(35\) | 4.25316 | − | 4.84177i | 0.718916 | − | 0.818408i | ||||
\(36\) | −2.84078 | − | 2.06394i | −0.473463 | − | 0.343991i | ||||
\(37\) | 8.85636 | + | 1.40271i | 1.45598 | + | 0.230604i | 0.833711 | − | 0.552202i | \(-0.186212\pi\) |
0.622266 | + | 0.782806i | \(0.286212\pi\) | |||||||
\(38\) | 1.08832 | − | 9.48520i | 0.176550 | − | 1.53870i | ||||
\(39\) | −3.40737 | + | 4.68984i | −0.545616 | + | 0.750976i | ||||
\(40\) | −1.99444 | − | 3.35863i | −0.315349 | − | 0.531047i | ||||
\(41\) | −5.47309 | − | 7.53307i | −0.854754 | − | 1.17647i | −0.982795 | − | 0.184699i | \(-0.940869\pi\) |
0.128041 | − | 0.991769i | \(-0.459131\pi\) | |||||||
\(42\) | 5.91183 | + | 11.6026i | 0.912215 | + | 1.79032i | ||||
\(43\) | −4.90816 | − | 4.90816i | −0.748488 | − | 0.748488i | 0.225707 | − | 0.974195i | \(-0.427531\pi\) |
−0.974195 | + | 0.225707i | \(0.927531\pi\) | |||||||
\(44\) | 12.6767 | + | 4.11891i | 1.91108 | + | 0.620948i | ||||
\(45\) | 1.79290 | + | 2.15934i | 0.267270 | + | 0.321895i | ||||
\(46\) | 10.2241 | − | 3.32202i | 1.50747 | − | 0.489806i | ||||
\(47\) | 5.61240 | + | 2.85966i | 0.818653 | + | 0.417124i | 0.812575 | − | 0.582857i | \(-0.198065\pi\) |
0.00607810 | + | 0.999982i | \(0.498065\pi\) | |||||||
\(48\) | −3.60381 | + | 0.570787i | −0.520165 | + | 0.0823860i | ||||
\(49\) | − | 1.30642i | − | 0.186632i | ||||||
\(50\) | 3.09318 | + | 10.5058i | 0.437441 | + | 1.48574i | ||||
\(51\) | 14.5458i | 2.03683i | ||||||||
\(52\) | −1.22985 | − | 7.76497i | −0.170550 | − | 1.07681i | ||||
\(53\) | −3.16859 | − | 1.61448i | −0.435239 | − | 0.221765i | 0.222622 | − | 0.974905i | \(-0.428538\pi\) |
−0.657861 | + | 0.753140i | \(0.728538\pi\) | |||||||
\(54\) | 7.49770 | − | 2.43615i | 1.02031 | − | 0.331518i | ||||
\(55\) | −9.00559 | − | 5.69245i | −1.21431 | − | 0.767570i | ||||
\(56\) | −4.78829 | − | 1.55581i | −0.639862 | − | 0.207904i | ||||
\(57\) | −6.62445 | − | 6.07987i | −0.877430 | − | 0.805298i | ||||
\(58\) | −8.16347 | + | 4.15950i | −1.07192 | + | 0.546169i | ||||
\(59\) | 10.1340 | − | 7.36278i | 1.31933 | − | 0.958553i | 0.319394 | − | 0.947622i | \(-0.396521\pi\) |
0.999940 | − | 0.0109308i | \(-0.00347944\pi\) | |||||||
\(60\) | −12.8488 | − | 1.19129i | −1.65877 | − | 0.153794i | ||||
\(61\) | −7.74658 | − | 5.62822i | −0.991847 | − | 0.720619i | −0.0315226 | − | 0.999503i | \(-0.510036\pi\) |
−0.960325 | + | 0.278884i | \(0.910036\pi\) | |||||||
\(62\) | 2.00128 | − | 12.6356i | 0.254162 | − | 1.60472i | ||||
\(63\) | 3.57296 | + | 0.565902i | 0.450151 | + | 0.0712969i | ||||
\(64\) | 7.40663 | − | 10.1944i | 0.925829 | − | 1.27429i | ||||
\(65\) | −0.580126 | + | 6.25703i | −0.0719558 | + | 0.776089i | ||||
\(66\) | 17.4160 | − | 12.6534i | 2.14376 | − | 1.55753i | ||||
\(67\) | −8.80397 | + | 4.48585i | −1.07558 | + | 0.548033i | −0.899758 | − | 0.436389i | \(-0.856257\pi\) |
−0.175818 | + | 0.984423i | \(0.556257\pi\) | |||||||
\(68\) | −13.9490 | − | 13.9490i | −1.69157 | − | 1.69157i | ||||
\(69\) | 3.12861 | − | 9.62887i | 0.376640 | − | 1.15918i | ||||
\(70\) | 11.9318 | + | 7.54214i | 1.42613 | + | 0.901458i | ||||
\(71\) | 3.59902 | − | 1.16939i | 0.427125 | − | 0.138781i | −0.0875626 | − | 0.996159i | \(-0.527908\pi\) |
0.514688 | + | 0.857378i | \(0.327908\pi\) | |||||||
\(72\) | 0.995440 | − | 1.95366i | 0.117314 | − | 0.230241i | ||||
\(73\) | 0.501005 | + | 3.16322i | 0.0586382 | + | 0.370227i | 0.999505 | + | 0.0314510i | \(0.0100128\pi\) |
−0.940867 | + | 0.338776i | \(0.889987\pi\) | |||||||
\(74\) | 19.6402i | 2.28312i | ||||||||
\(75\) | 9.71676 | + | 3.45887i | 1.12199 | + | 0.399396i | ||||
\(76\) | 12.1830 | − | 0.522241i | 1.39749 | − | 0.0599051i | ||||
\(77\) | −13.5628 | + | 2.14813i | −1.54562 | + | 0.244803i | ||||
\(78\) | −11.3133 | − | 5.76444i | −1.28098 | − | 0.652694i | ||||
\(79\) | 2.61894 | + | 8.06027i | 0.294654 | + | 0.906851i | 0.983338 | + | 0.181789i | \(0.0581888\pi\) |
−0.688684 | + | 0.725062i | \(0.741811\pi\) | |||||||
\(80\) | −3.04300 | + | 2.52661i | −0.340218 | + | 0.282484i | ||||
\(81\) | 3.45792 | − | 10.6424i | 0.384213 | − | 1.18249i | ||||
\(82\) | 14.4215 | − | 14.4215i | 1.59258 | − | 1.59258i | ||||
\(83\) | 8.18299 | − | 4.16944i | 0.898200 | − | 0.457656i | 0.0569962 | − | 0.998374i | \(-0.481848\pi\) |
0.841203 | + | 0.540719i | \(0.181848\pi\) | |||||||
\(84\) | −13.4555 | + | 9.77601i | −1.46812 | + | 1.06665i | ||||
\(85\) | 8.05073 | + | 13.5574i | 0.873224 | + | 1.47051i | ||||
\(86\) | 8.93640 | − | 12.2999i | 0.963637 | − | 1.32633i | ||||
\(87\) | −1.34982 | + | 8.52241i | −0.144716 | + | 0.913698i | ||||
\(88\) | −1.30203 | + | 8.22070i | −0.138797 | + | 0.876329i | ||||
\(89\) | 1.80948 | + | 1.31466i | 0.191804 | + | 0.139354i | 0.679543 | − | 0.733636i | \(-0.262178\pi\) |
−0.487739 | + | 0.872990i | \(0.662178\pi\) | |||||||
\(90\) | −4.05710 | + | 4.61858i | −0.427656 | + | 0.486841i | ||||
\(91\) | 4.76067 | + | 6.55250i | 0.499054 | + | 0.686888i | ||||
\(92\) | 6.23355 | + | 12.2340i | 0.649892 | + | 1.27549i | ||||
\(93\) | −8.51939 | − | 8.51939i | −0.883419 | − | 0.883419i | ||||
\(94\) | −4.26344 | + | 13.1215i | −0.439740 | + | 1.35338i | ||||
\(95\) | −9.53934 | − | 2.00026i | −0.978715 | − | 0.205223i | ||||
\(96\) | −4.69673 | − | 14.4550i | −0.479358 | − | 1.47531i | ||||
\(97\) | −6.64153 | + | 13.0347i | −0.674345 | + | 1.32348i | 0.259480 | + | 0.965748i | \(0.416449\pi\) |
−0.933825 | + | 0.357729i | \(0.883551\pi\) | |||||||
\(98\) | 2.82627 | − | 0.447638i | 0.285497 | − | 0.0452182i | ||||
\(99\) | − | 5.98031i | − | 0.601043i | ||||||
\(100\) | −12.6350 | + | 6.00112i | −1.26350 | + | 0.600112i | ||||
\(101\) | 0.243805 | 0.0242595 | 0.0121298 | − | 0.999926i | \(-0.496139\pi\) | ||||
0.0121298 | + | 0.999926i | \(0.496139\pi\) | |||||||
\(102\) | −31.4680 | + | 4.98403i | −3.11579 | + | 0.493493i | ||||
\(103\) | 6.31136 | + | 3.21580i | 0.621876 | + | 0.316862i | 0.736387 | − | 0.676560i | \(-0.236530\pi\) |
−0.114511 | + | 0.993422i | \(0.536530\pi\) | |||||||
\(104\) | 4.66891 | − | 1.51702i | 0.457824 | − | 0.148756i | ||||
\(105\) | 12.3515 | − | 4.91598i | 1.20538 | − | 0.479751i | ||||
\(106\) | 2.40700 | − | 7.40800i | 0.233789 | − | 0.719528i | ||||
\(107\) | −9.95521 | − | 9.95521i | −0.962407 | − | 0.962407i | 0.0369119 | − | 0.999319i | \(-0.488248\pi\) |
−0.999319 | + | 0.0369119i | \(0.988248\pi\) | |||||||
\(108\) | 4.57127 | + | 8.97162i | 0.439870 | + | 0.863294i | ||||
\(109\) | −2.84253 | + | 2.06522i | −0.272265 | + | 0.197812i | −0.715537 | − | 0.698575i | \(-0.753818\pi\) |
0.443271 | + | 0.896387i | \(0.353818\pi\) | |||||||
\(110\) | 9.22915 | − | 21.4328i | 0.879965 | − | 2.04354i | ||||
\(111\) | 14.9641 | + | 10.8721i | 1.42033 | + | 1.03193i | ||||
\(112\) | −0.797486 | + | 5.03513i | −0.0753553 | + | 0.475775i | ||||
\(113\) | −1.96693 | + | 12.4187i | −0.185033 | + | 1.16826i | 0.703927 | + | 0.710272i | \(0.251428\pi\) |
−0.888961 | + | 0.457983i | \(0.848572\pi\) | |||||||
\(114\) | 10.8831 | − | 16.4143i | 1.01930 | − | 1.53734i | ||||
\(115\) | −2.41331 | − | 10.7062i | −0.225042 | − | 0.998354i | ||||
\(116\) | −6.87829 | − | 9.46715i | −0.638633 | − | 0.879003i | ||||
\(117\) | −3.14286 | + | 1.60137i | −0.290557 | + | 0.148046i | ||||
\(118\) | 19.4007 | + | 19.4007i | 1.78598 | + | 1.78598i | ||||
\(119\) | 19.3283 | + | 6.28015i | 1.77182 | + | 0.575700i | ||||
\(120\) | −0.520390 | − | 8.04086i | −0.0475049 | − | 0.734027i | ||||
\(121\) | 3.61579 | + | 11.1282i | 0.328708 | + | 1.01166i | ||||
\(122\) | 9.52157 | − | 18.6871i | 0.862043 | − | 1.69185i | ||||
\(123\) | −3.00473 | − | 18.9711i | −0.270927 | − | 1.71057i | ||||
\(124\) | 16.3396 | 1.46734 | ||||||||
\(125\) | 10.9709 | − | 2.15414i | 0.981263 | − | 0.192672i | ||||
\(126\) | 7.92352i | 0.705884i | ||||||||
\(127\) | 2.90107 | + | 18.3166i | 0.257428 | + | 1.62534i | 0.690051 | + | 0.723761i | \(0.257588\pi\) |
−0.432623 | + | 0.901575i | \(0.642412\pi\) | |||||||
\(128\) | 11.4619 | + | 5.84013i | 1.01310 | + | 0.516199i | ||||
\(129\) | −4.42461 | − | 13.6175i | −0.389565 | − | 1.19896i | ||||
\(130\) | −13.7350 | + | 0.888906i | −1.20464 | + | 0.0779622i | ||||
\(131\) | −1.74840 | + | 5.38103i | −0.152759 | + | 0.470143i | −0.997927 | − | 0.0643575i | \(-0.979500\pi\) |
0.845168 | + | 0.534500i | \(0.179500\pi\) | |||||||
\(132\) | 19.4421 | + | 19.4421i | 1.69222 | + | 1.69222i | ||||
\(133\) | −10.9389 | + | 6.17751i | −0.948527 | + | 0.535658i | ||||
\(134\) | −12.7211 | − | 17.5091i | −1.09894 | − | 1.51256i | ||||
\(135\) | −1.76976 | − | 7.85118i | −0.152317 | − | 0.675722i | ||||
\(136\) | 7.24046 | − | 9.96564i | 0.620864 | − | 0.854546i | ||||
\(137\) | 1.59147 | − | 10.0481i | 0.135968 | − | 0.858469i | −0.821559 | − | 0.570124i | \(-0.806895\pi\) |
0.957527 | − | 0.288345i | \(-0.0931049\pi\) | |||||||
\(138\) | 21.9028 | + | 3.46906i | 1.86449 | + | 0.295306i | ||||
\(139\) | 1.08167 | − | 1.48879i | 0.0917462 | − | 0.126278i | −0.760676 | − | 0.649131i | \(-0.775133\pi\) |
0.852423 | + | 0.522854i | \(0.175133\pi\) | |||||||
\(140\) | −7.13042 | + | 16.5590i | −0.602630 | + | 1.39949i | ||||
\(141\) | 7.63739 | + | 10.5120i | 0.643184 | + | 0.885267i | ||||
\(142\) | 3.76300 | + | 7.38531i | 0.315784 | + | 0.619762i | ||||
\(143\) | 9.46780 | − | 9.46780i | 0.791737 | − | 0.791737i | ||||
\(144\) | −2.11150 | − | 0.686068i | −0.175958 | − | 0.0571724i | ||||
\(145\) | 3.45883 | + | 8.69037i | 0.287240 | + | 0.721696i | ||||
\(146\) | −6.67153 | + | 2.16771i | −0.552140 | + | 0.179401i | ||||
\(147\) | 1.22346 | − | 2.40117i | 0.100909 | − | 0.198045i | ||||
\(148\) | −24.7761 | + | 3.92415i | −2.03658 | + | 0.322563i | ||||
\(149\) | − | 6.76123i | − | 0.553902i | −0.960884 | − | 0.276951i | \(-0.910676\pi\) | ||
0.960884 | − | 0.276951i | \(-0.0893239\pi\) | |||||||
\(150\) | −4.15341 | + | 22.2060i | −0.339124 | + | 1.81312i | ||||
\(151\) | 3.70965i | 0.301887i | 0.988542 | + | 0.150943i | \(0.0482312\pi\) | ||||
−0.988542 | + | 0.150943i | \(0.951769\pi\) | |||||||
\(152\) | 1.51218 | + | 7.46288i | 0.122654 | + | 0.605319i | ||||
\(153\) | −4.01818 | + | 7.88612i | −0.324850 | + | 0.637555i | ||||
\(154\) | −9.29439 | − | 28.6052i | −0.748963 | − | 2.30507i | ||||
\(155\) | −12.6557 | − | 3.22521i | −1.01653 | − | 0.259055i | ||||
\(156\) | 5.01142 | − | 15.4236i | 0.401234 | − | 1.23487i | ||||
\(157\) | −0.787025 | + | 0.787025i | −0.0628114 | + | 0.0628114i | −0.737815 | − | 0.675003i | \(-0.764142\pi\) |
0.675003 | + | 0.737815i | \(0.264142\pi\) | |||||||
\(158\) | −16.5399 | + | 8.42752i | −1.31585 | + | 0.670457i | ||||
\(159\) | −4.31183 | − | 5.93473i | −0.341950 | − | 0.470654i | ||||
\(160\) | −12.3780 | − | 10.8733i | −0.978570 | − | 0.859607i | ||||
\(161\) | −11.4439 | − | 8.31451i | −0.901909 | − | 0.655275i | ||||
\(162\) | 24.2082 | + | 3.83420i | 1.90197 | + | 0.301243i | ||||
\(163\) | 13.4970 | + | 2.13772i | 1.05717 | + | 0.167439i | 0.660731 | − | 0.750623i | \(-0.270246\pi\) |
0.396437 | + | 0.918062i | \(0.370246\pi\) | |||||||
\(164\) | 21.0741 | + | 15.3112i | 1.64561 | + | 1.19561i | ||||
\(165\) | −11.2211 | − | 18.8963i | −0.873560 | − | 1.47107i | ||||
\(166\) | 11.8239 | + | 16.2742i | 0.917710 | + | 1.26312i | ||||
\(167\) | −3.82408 | + | 1.94847i | −0.295916 | + | 0.150777i | −0.595645 | − | 0.803247i | \(-0.703104\pi\) |
0.299729 | + | 0.954024i | \(0.403104\pi\) | |||||||
\(168\) | −7.34374 | − | 7.34374i | −0.566582 | − | 0.566582i | ||||
\(169\) | 4.85286 | + | 1.57679i | 0.373297 | + | 0.121291i | ||||
\(170\) | −26.5711 | + | 22.0620i | −2.03791 | + | 1.69208i | ||||
\(171\) | −1.91197 | − | 5.12619i | −0.146212 | − | 0.392010i | ||||
\(172\) | 17.3019 | + | 8.81573i | 1.31925 | + | 0.672193i | ||||
\(173\) | −10.4626 | + | 1.65711i | −0.795455 | + | 0.125988i | −0.540918 | − | 0.841075i | \(-0.681923\pi\) |
−0.254537 | + | 0.967063i | \(0.581923\pi\) | |||||||
\(174\) | −18.8996 | −1.43277 | ||||||||
\(175\) | 8.79129 | − | 11.4181i | 0.664559 | − | 0.863130i | ||||
\(176\) | 8.42763 | 0.635256 | ||||||||
\(177\) | 25.5212 | − | 4.04217i | 1.91829 | − | 0.303828i | ||||
\(178\) | −2.22409 | + | 4.36502i | −0.166702 | + | 0.327172i | ||||
\(179\) | 2.44265 | + | 7.51770i | 0.182572 | + | 0.561900i | 0.999898 | − | 0.0142762i | \(-0.00454439\pi\) |
−0.817326 | + | 0.576176i | \(0.804544\pi\) | |||||||
\(180\) | −6.63696 | − | 4.19524i | −0.494690 | − | 0.312695i | ||||
\(181\) | −8.50748 | − | 2.76425i | −0.632356 | − | 0.205465i | −0.0247377 | − | 0.999694i | \(-0.507875\pi\) |
−0.607619 | + | 0.794229i | \(0.707875\pi\) | |||||||
\(182\) | −12.5442 | + | 12.5442i | −0.929840 | + | 0.929840i | ||||
\(183\) | −8.96721 | − | 17.5991i | −0.662875 | − | 1.30097i | ||||
\(184\) | −6.93642 | + | 5.03960i | −0.511360 | + | 0.371524i | ||||
\(185\) | 19.9646 | + | 1.85104i | 1.46783 | + | 0.136091i | ||||
\(186\) | 15.5114 | − | 21.3496i | 1.13735 | − | 1.56543i | ||||
\(187\) | 5.25575 | − | 33.1835i | 0.384339 | − | 2.42662i | ||||
\(188\) | −17.4047 | − | 2.75663i | −1.26936 | − | 0.201048i | ||||
\(189\) | −8.39222 | − | 6.09730i | −0.610444 | − | 0.443514i | ||||
\(190\) | 1.05871 | − | 21.3224i | 0.0768068 | − | 1.54689i | ||||
\(191\) | −5.86302 | + | 4.25973i | −0.424233 | + | 0.308224i | −0.779339 | − | 0.626603i | \(-0.784445\pi\) |
0.355106 | + | 0.934826i | \(0.384445\pi\) | |||||||
\(192\) | 23.1601 | − | 11.8007i | 1.67144 | − | 0.851641i | ||||
\(193\) | 5.89497 | − | 5.89497i | 0.424329 | − | 0.424329i | −0.462362 | − | 0.886691i | \(-0.652998\pi\) |
0.886691 | + | 0.462362i | \(0.152998\pi\) | |||||||
\(194\) | −30.4746 | − | 9.90179i | −2.18795 | − | 0.710907i | ||||
\(195\) | −6.92593 | + | 10.9570i | −0.495976 | + | 0.784645i | ||||
\(196\) | 1.12939 | + | 3.47591i | 0.0806708 | + | 0.248279i | ||||
\(197\) | 7.19689 | + | 3.66700i | 0.512757 | + | 0.261263i | 0.691169 | − | 0.722693i | \(-0.257096\pi\) |
−0.178412 | + | 0.983956i | \(0.557096\pi\) | |||||||
\(198\) | 12.9376 | − | 2.04911i | 0.919434 | − | 0.145624i | ||||
\(199\) | − | 2.37190i | − | 0.168140i | −0.996460 | − | 0.0840698i | \(-0.973208\pi\) | ||
0.996460 | − | 0.0840698i | \(-0.0267919\pi\) | |||||||
\(200\) | −4.93542 | − | 7.20643i | −0.348987 | − | 0.509572i | ||||
\(201\) | −20.3824 | −1.43767 | ||||||||
\(202\) | 0.0835382 | + | 0.527439i | 0.00587772 | + | 0.0371105i | ||||
\(203\) | 10.7417 | + | 5.47316i | 0.753918 | + | 0.384140i | ||||
\(204\) | −12.5747 | − | 38.7011i | −0.880408 | − | 2.70962i | ||||
\(205\) | −13.3005 | − | 16.0189i | −0.928949 | − | 1.11881i | ||||
\(206\) | −4.79439 | + | 14.7556i | −0.334041 | + | 1.02807i | ||||
\(207\) | 4.35610 | − | 4.35610i | 0.302770 | − | 0.302770i | ||||
\(208\) | −2.25669 | − | 4.42901i | −0.156473 | − | 0.307096i | ||||
\(209\) | 12.9156 | + | 16.2636i | 0.893391 | + | 1.12498i | ||||
\(210\) | 14.8672 | + | 25.0363i | 1.02594 | + | 1.72767i | ||||
\(211\) | −4.21148 | + | 5.79661i | −0.289930 | + | 0.399055i | −0.928992 | − | 0.370101i | \(-0.879323\pi\) |
0.639061 | + | 0.769156i | \(0.279323\pi\) | |||||||
\(212\) | 9.82612 | + | 1.55631i | 0.674861 | + | 0.106887i | ||||
\(213\) | 7.71004 | + | 1.22115i | 0.528283 | + | 0.0836718i | ||||
\(214\) | 18.1257 | − | 24.9478i | 1.23904 | − | 1.70540i | ||||
\(215\) | −11.6609 | − | 10.2433i | −0.795265 | − | 0.698586i | ||||
\(216\) | −5.08671 | + | 3.69571i | −0.346106 | + | 0.251461i | ||||
\(217\) | −14.9987 | + | 7.64221i | −1.01818 | + | 0.518787i | ||||
\(218\) | −5.44180 | − | 5.44180i | −0.368565 | − | 0.368565i | ||||
\(219\) | −2.04150 | + | 6.28310i | −0.137952 | + | 0.424573i | ||||
\(220\) | 28.8816 | + | 7.36026i | 1.94720 | + | 0.496228i | ||||
\(221\) | −18.8464 | + | 6.12358i | −1.26775 | + | 0.411916i | ||||
\(222\) | −18.3929 | + | 36.0981i | −1.23445 | + | 2.42275i | ||||
\(223\) | −18.1279 | + | 2.87118i | −1.21394 | + | 0.192269i | −0.730378 | − | 0.683043i | \(-0.760656\pi\) |
−0.483559 | + | 0.875312i | \(0.660656\pi\) | |||||||
\(224\) | −21.2355 | −1.41885 | ||||||||
\(225\) | 4.31251 | + | 4.55942i | 0.287501 | + | 0.303962i | ||||
\(226\) | −27.5402 | −1.83195 | ||||||||
\(227\) | 1.93416 | + | 12.2118i | 0.128375 | + | 0.810527i | 0.964904 | + | 0.262604i | \(0.0845812\pi\) |
−0.836529 | + | 0.547923i | \(0.815419\pi\) | |||||||
\(228\) | 22.8812 | + | 10.4495i | 1.51534 | + | 0.692034i | ||||
\(229\) | −1.59929 | + | 0.519640i | −0.105684 | + | 0.0343387i | −0.361382 | − | 0.932418i | \(-0.617695\pi\) |
0.255698 | + | 0.966757i | \(0.417695\pi\) | |||||||
\(230\) | 22.3344 | − | 8.88926i | 1.47269 | − | 0.586140i | ||||
\(231\) | −26.9397 | − | 8.75326i | −1.77251 | − | 0.575922i | ||||
\(232\) | 5.16697 | − | 5.16697i | 0.339228 | − | 0.339228i | ||||
\(233\) | −17.1730 | + | 8.75006i | −1.12504 | + | 0.573235i | −0.914595 | − | 0.404371i | \(-0.867490\pi\) |
−0.210443 | + | 0.977606i | \(0.567490\pi\) | |||||||
\(234\) | −4.54122 | − | 6.25045i | −0.296869 | − | 0.408605i | ||||
\(235\) | 12.9365 | + | 5.57055i | 0.843883 | + | 0.363382i | ||||
\(236\) | −20.5977 | + | 28.3504i | −1.34080 | + | 1.84545i | ||||
\(237\) | −2.73485 | + | 17.2672i | −0.177648 | + | 1.12162i | ||||
\(238\) | −6.96354 | + | 43.9660i | −0.451379 | + | 2.84989i | ||||
\(239\) | −5.09458 | + | 7.01209i | −0.329541 | + | 0.453574i | −0.941350 | − | 0.337431i | \(-0.890442\pi\) |
0.611809 | + | 0.791005i | \(0.290442\pi\) | |||||||
\(240\) | −7.95911 | + | 1.79409i | −0.513758 | + | 0.115808i | ||||
\(241\) | −1.66493 | − | 2.29158i | −0.107247 | − | 0.147613i | 0.752020 | − | 0.659141i | \(-0.229080\pi\) |
−0.859267 | + | 0.511527i | \(0.829080\pi\) | |||||||
\(242\) | −22.8355 | + | 11.6353i | −1.46792 | + | 0.747944i | ||||
\(243\) | 8.68692 | − | 8.68692i | 0.557266 | − | 0.557266i | ||||
\(244\) | 25.4763 | + | 8.27775i | 1.63095 | + | 0.529928i | ||||
\(245\) | −0.188664 | − | 2.91516i | −0.0120533 | − | 0.186242i | ||||
\(246\) | 40.0118 | − | 13.0006i | 2.55106 | − | 0.828890i | ||||
\(247\) | 5.08863 | − | 11.1426i | 0.323782 | − | 0.708984i | ||||
\(248\) | 1.59612 | + | 10.0775i | 0.101353 | + | 0.639920i | ||||
\(249\) | 18.9448 | 1.20058 | ||||||||
\(250\) | 8.41927 | + | 22.9959i | 0.532481 | + | 1.45439i | ||||
\(251\) | 15.8555 | 1.00079 | 0.500394 | − | 0.865798i | \(-0.333189\pi\) | ||||
0.500394 | + | 0.865798i | \(0.333189\pi\) | |||||||
\(252\) | −9.99554 | + | 1.58314i | −0.629660 | + | 0.0997283i | ||||
\(253\) | −10.6165 | + | 20.8360i | −0.667451 | + | 1.30995i | ||||
\(254\) | −38.6315 | + | 12.5521i | −2.42395 | + | 0.787590i | ||||
\(255\) | 2.10060 | + | 32.4576i | 0.131545 | + | 2.03257i | ||||
\(256\) | −0.919191 | + | 2.82898i | −0.0574494 | + | 0.176811i | ||||
\(257\) | −12.9476 | − | 12.9476i | −0.807648 | − | 0.807648i | 0.176630 | − | 0.984277i | \(-0.443480\pi\) |
−0.984277 | + | 0.176630i | \(0.943480\pi\) | |||||||
\(258\) | 27.9436 | − | 14.2380i | 1.73970 | − | 0.886419i | ||||
\(259\) | 20.9074 | − | 15.1901i | 1.29912 | − | 0.943868i | ||||
\(260\) | −3.86564 | − | 17.1491i | −0.239737 | − | 1.06354i | ||||
\(261\) | −3.08606 | + | 4.24760i | −0.191022 | + | 0.262920i | ||||
\(262\) | −12.2402 | − | 1.93866i | −0.756203 | − | 0.119771i | ||||
\(263\) | −27.6801 | − | 4.38409i | −1.70683 | − | 0.270335i | −0.774664 | − | 0.632374i | \(-0.782081\pi\) |
−0.932163 | + | 0.362039i | \(0.882081\pi\) | |||||||
\(264\) | −10.0917 | + | 13.8901i | −0.621103 | + | 0.854875i | ||||
\(265\) | −7.30353 | − | 3.14496i | −0.448652 | − | 0.193193i | ||||
\(266\) | −17.1124 | − | 21.5482i | −1.04923 | − | 1.32121i | ||||
\(267\) | 2.09460 | + | 4.11088i | 0.128187 | + | 0.251582i | ||||
\(268\) | 19.5461 | − | 19.5461i | 1.19397 | − | 1.19397i | ||||
\(269\) | 6.80918 | − | 20.9565i | 0.415163 | − | 1.27774i | −0.496942 | − | 0.867784i | \(-0.665544\pi\) |
0.912105 | − | 0.409957i | \(-0.134456\pi\) | |||||||
\(270\) | 16.3786 | − | 6.51879i | 0.996767 | − | 0.396721i | ||||
\(271\) | 4.73078 | + | 14.5598i | 0.287374 | + | 0.884447i | 0.985677 | + | 0.168645i | \(0.0539390\pi\) |
−0.698303 | + | 0.715803i | \(0.746061\pi\) | |||||||
\(272\) | −11.1133 | − | 5.66253i | −0.673846 | − | 0.343342i | ||||
\(273\) | 2.61361 | + | 16.5017i | 0.158183 | + | 0.998725i | ||||
\(274\) | 22.2830 | 1.34617 | ||||||||
\(275\) | −20.9171 | − | 11.4016i | −1.26135 | − | 0.687544i | ||||
\(276\) | 28.3235i | 1.70487i | ||||||||
\(277\) | 13.2659 | − | 2.10111i | 0.797071 | − | 0.126244i | 0.255402 | − | 0.966835i | \(-0.417792\pi\) |
0.541670 | + | 0.840591i | \(0.317792\pi\) | |||||||
\(278\) | 3.59143 | + | 1.82992i | 0.215400 | + | 0.109752i | ||||
\(279\) | −2.26542 | − | 6.97225i | −0.135627 | − | 0.417418i | ||||
\(280\) | −10.9093 | − | 2.78014i | −0.651953 | − | 0.166145i | ||||
\(281\) | 0.909555 | + | 0.295532i | 0.0542595 | + | 0.0176300i | 0.336021 | − | 0.941854i | \(-0.390919\pi\) |
−0.281761 | + | 0.959484i | \(0.590919\pi\) | |||||||
\(282\) | −20.1243 | + | 20.1243i | −1.19838 | + | 1.19838i | ||||
\(283\) | 0.0520166 | − | 0.0265038i | 0.00309207 | − | 0.00157549i | −0.452444 | − | 0.891793i | \(-0.649448\pi\) |
0.455536 | + | 0.890217i | \(0.349448\pi\) | |||||||
\(284\) | −8.56473 | + | 6.22264i | −0.508223 | + | 0.369246i | ||||
\(285\) | −15.6598 | − | 12.6100i | −0.927607 | − | 0.746950i | ||||
\(286\) | 23.7264 | + | 17.2382i | 1.40297 | + | 1.01932i | ||||
\(287\) | −26.5058 | − | 4.19811i | −1.56459 | − | 0.247807i | ||||
\(288\) | 1.44673 | − | 9.13432i | 0.0852497 | − | 0.538245i | ||||
\(289\) | −19.2344 | + | 26.4738i | −1.13143 | + | 1.55728i | ||||
\(290\) | −17.6153 | + | 10.4604i | −1.03441 | + | 0.614256i | ||||
\(291\) | −24.4139 | + | 17.7377i | −1.43117 | + | 1.03981i | ||||
\(292\) | −4.06756 | − | 7.98303i | −0.238036 | − | 0.467172i | ||||
\(293\) | 11.0134 | − | 11.0134i | 0.643408 | − | 0.643408i | −0.307984 | − | 0.951392i | \(-0.599654\pi\) |
0.951392 | + | 0.307984i | \(0.0996542\pi\) | |||||||
\(294\) | 5.61382 | + | 1.82404i | 0.327405 | + | 0.106380i | ||||
\(295\) | 21.5497 | − | 17.8928i | 1.25467 | − | 1.04176i | ||||
\(296\) | −4.84044 | − | 14.8973i | −0.281345 | − | 0.865890i | ||||
\(297\) | −7.78540 | + | 15.2797i | −0.451755 | + | 0.886618i | ||||
\(298\) | 14.6270 | − | 2.31669i | 0.847320 | − | 0.134202i | ||||
\(299\) | 13.7928 | 0.797659 | ||||||||
\(300\) | −28.8428 | − | 0.802714i | −1.66524 | − | 0.0463447i | ||||
\(301\) | −20.0051 | −1.15308 | ||||||||
\(302\) | −8.02532 | + | 1.27109i | −0.461805 | + | 0.0731428i | ||||
\(303\) | 0.448107 | + | 0.228322i | 0.0257431 | + | 0.0131168i | ||||
\(304\) | 7.22398 | − | 2.69441i | 0.414324 | − | 0.154535i | ||||
\(305\) | −18.0985 | − | 11.4401i | −1.03632 | − | 0.655058i | ||||
\(306\) | −18.4373 | − | 5.99065i | −1.05399 | − | 0.342463i | ||||
\(307\) | 17.5050 | + | 17.5050i | 0.999062 | + | 0.999062i | 1.00000 | 0.000937332i | \(-0.000298362\pi\) | |
−0.000937332 | 1.00000i | \(0.500298\pi\) | ||||||||
\(308\) | 34.2285 | − | 17.4403i | 1.95035 | − | 0.993752i | ||||
\(309\) | 8.58853 | + | 11.8211i | 0.488584 | + | 0.672479i | ||||
\(310\) | 2.64092 | − | 28.4840i | 0.149994 | − | 1.61778i | ||||
\(311\) | −5.62399 | − | 4.08607i | −0.318907 | − | 0.231700i | 0.416802 | − | 0.908997i | \(-0.363151\pi\) |
−0.735709 | + | 0.677298i | \(0.763151\pi\) | |||||||
\(312\) | 10.0020 | + | 1.58416i | 0.566252 | + | 0.0896855i | ||||
\(313\) | −2.28848 | − | 0.362460i | −0.129353 | − | 0.0204875i | 0.0914223 | − | 0.995812i | \(-0.470859\pi\) |
−0.220775 | + | 0.975325i | \(0.570859\pi\) | |||||||
\(314\) | −1.97229 | − | 1.43295i | −0.111303 | − | 0.0808662i | ||||
\(315\) | 8.05443 | + | 0.746774i | 0.453816 | + | 0.0420759i | ||||
\(316\) | −13.9360 | − | 19.1813i | −0.783964 | − | 1.07903i | ||||
\(317\) | 12.3946 | − | 6.31538i | 0.696151 | − | 0.354707i | −0.0698396 | − | 0.997558i | \(-0.522249\pi\) |
0.765991 | + | 0.642851i | \(0.222249\pi\) | |||||||
\(318\) | 11.3616 | − | 11.3616i | 0.637124 | − | 0.637124i | ||||
\(319\) | 6.15869 | − | 18.9545i | 0.344820 | − | 1.06125i | ||||
\(320\) | 15.0550 | − | 23.8173i | 0.841598 | − | 1.33143i | ||||
\(321\) | −8.97442 | − | 27.6204i | −0.500903 | − | 1.54162i | ||||
\(322\) | 14.0661 | − | 27.6063i | 0.783874 | − | 1.53844i | ||||
\(323\) | −6.10402 | − | 30.1245i | −0.339637 | − | 1.67617i | ||||
\(324\) | 31.3047i | 1.73915i | ||||||||
\(325\) | −0.390901 | + | 14.0457i | −0.0216833 | + | 0.779116i | ||||
\(326\) | 29.9314i | 1.65775i | ||||||||
\(327\) | −7.15857 | + | 1.13381i | −0.395870 | + | 0.0626996i | ||||
\(328\) | −7.38462 | + | 14.4931i | −0.407747 | + | 0.800249i | ||||
\(329\) | 17.2656 | − | 5.60993i | 0.951882 | − | 0.309285i | ||||
\(330\) | 37.0347 | − | 30.7500i | 2.03869 | − | 1.69273i | ||||
\(331\) | −19.8217 | − | 6.44045i | −1.08950 | − | 0.353999i | −0.291445 | − | 0.956588i | \(-0.594136\pi\) |
−0.798052 | + | 0.602589i | \(0.794136\pi\) | |||||||
\(332\) | −18.1674 | + | 18.1674i | −0.997068 | + | 0.997068i | ||||
\(333\) | 5.10956 | + | 10.0281i | 0.280002 | + | 0.549535i | ||||
\(334\) | −5.52554 | − | 7.60525i | −0.302344 | − | 0.416141i | ||||
\(335\) | −18.9974 | + | 11.2811i | −1.03794 | + | 0.616353i | ||||
\(336\) | −6.18112 | + | 8.50759i | −0.337208 | + | 0.464127i | ||||
\(337\) | 9.38202 | + | 1.48597i | 0.511071 | + | 0.0809457i | 0.406644 | − | 0.913587i | \(-0.366699\pi\) |
0.104427 | + | 0.994533i | \(0.466699\pi\) | |||||||
\(338\) | −1.74837 | + | 11.0388i | −0.0950988 | + | 0.600430i | ||||
\(339\) | −15.2452 | + | 20.9833i | −0.828007 | + | 1.13965i | ||||
\(340\) | −33.1402 | − | 29.1114i | −1.79728 | − | 1.57879i | ||||
\(341\) | 16.3571 | + | 22.5136i | 0.885785 | + | 1.21918i | ||||
\(342\) | 10.4347 | − | 5.89274i | 0.564244 | − | 0.318643i | ||||
\(343\) | 11.6032 | + | 11.6032i | 0.626513 | + | 0.626513i | ||||
\(344\) | −3.74700 | + | 11.5321i | −0.202025 | + | 0.621768i | ||||
\(345\) | 5.59065 | − | 21.9377i | 0.300991 | − | 1.18108i | ||||
\(346\) | −7.16986 | − | 22.0666i | −0.385454 | − | 1.18631i | ||||
\(347\) | 14.9026 | + | 7.59324i | 0.800012 | + | 0.407627i | 0.805675 | − | 0.592357i | \(-0.201803\pi\) |
−0.00566311 | + | 0.999984i | \(0.501803\pi\) | |||||||
\(348\) | −3.77618 | − | 23.8419i | −0.202424 | − | 1.27806i | ||||
\(349\) | − | 4.76493i | − | 0.255061i | −0.991835 | − | 0.127530i | \(-0.959295\pi\) | ||
0.991835 | − | 0.127530i | \(-0.0407050\pi\) | |||||||
\(350\) | 27.7139 | + | 15.1064i | 1.48137 | + | 0.807472i | ||||
\(351\) | 10.1147 | 0.539884 | ||||||||
\(352\) | 5.49173 | + | 34.6734i | 0.292710 | + | 1.84810i | ||||
\(353\) | 12.8576 | − | 25.2344i | 0.684340 | − | 1.34309i | −0.243422 | − | 0.969921i | \(-0.578270\pi\) |
0.927762 | − | 0.373173i | \(-0.121730\pi\) | |||||||
\(354\) | 17.4894 | + | 53.8267i | 0.929548 | + | 2.86086i | ||||
\(355\) | 7.86198 | − | 3.12913i | 0.417271 | − | 0.166077i | ||||
\(356\) | −5.95086 | − | 1.93355i | −0.315395 | − | 0.102478i | ||||
\(357\) | 29.6436 | + | 29.6436i | 1.56891 | + | 1.56891i | ||||
\(358\) | −15.4266 | + | 7.86023i | −0.815320 | + | 0.415426i | ||||
\(359\) | 8.99362 | + | 12.3787i | 0.474665 | + | 0.653320i | 0.977469 | − | 0.211080i | \(-0.0676982\pi\) |
−0.502804 | + | 0.864401i | \(0.667698\pi\) | |||||||
\(360\) | 1.93909 | − | 4.50315i | 0.102199 | − | 0.237337i | ||||
\(361\) | 16.2706 | + | 9.81155i | 0.856349 | + | 0.516397i | ||||
\(362\) | 3.06505 | − | 19.3519i | 0.161095 | − | 1.01712i | ||||
\(363\) | −3.77582 | + | 23.8396i | −0.198179 | + | 1.25125i | ||||
\(364\) | −18.3309 | − | 13.3182i | −0.960802 | − | 0.698063i | ||||
\(365\) | 1.57475 | + | 6.98605i | 0.0824261 | + | 0.365667i | ||||
\(366\) | 35.0008 | − | 25.4296i | 1.82952 | − | 1.32922i | ||||
\(367\) | −10.6003 | − | 20.8043i | −0.553333 | − | 1.08598i | −0.983105 | − | 0.183040i | \(-0.941406\pi\) |
0.429772 | − | 0.902937i | \(-0.358594\pi\) | |||||||
\(368\) | 6.13874 | + | 6.13874i | 0.320004 | + | 0.320004i | ||||
\(369\) | 3.61159 | − | 11.1153i | 0.188012 | − | 0.578641i | ||||
\(370\) | 2.83628 | + | 43.8251i | 0.147451 | + | 2.27836i | ||||
\(371\) | −9.74761 | + | 3.16719i | −0.506071 | + | 0.164432i | ||||
\(372\) | 30.0318 | + | 15.3020i | 1.55708 | + | 0.793371i | ||||
\(373\) | 7.33448 | − | 1.16167i | 0.379765 | − | 0.0601489i | 0.0363662 | − | 0.999339i | \(-0.488422\pi\) |
0.343399 | + | 0.939190i | \(0.388422\pi\) | |||||||
\(374\) | 73.5889 | 3.80519 | ||||||||
\(375\) | 22.1815 | + | 6.31490i | 1.14545 | + | 0.326100i | ||||
\(376\) | − | 11.0036i | − | 0.567467i | ||||||
\(377\) | −11.6104 | + | 1.83890i | −0.597965 | + | 0.0947083i | ||||
\(378\) | 10.3152 | − | 20.2446i | 0.530554 | − | 1.04127i | ||||
\(379\) | −2.46885 | − | 7.59833i | −0.126816 | − | 0.390300i | 0.867411 | − | 0.497592i | \(-0.165782\pi\) |
−0.994228 | + | 0.107292i | \(0.965782\pi\) | |||||||
\(380\) | 27.1098 | − | 2.92471i | 1.39070 | − | 0.150034i | ||||
\(381\) | −11.8213 | + | 36.3823i | −0.605624 | + | 1.86392i | ||||
\(382\) | −11.2243 | − | 11.2243i | −0.574284 | − | 0.574284i | ||||
\(383\) | −12.0967 | − | 23.7411i | −0.618113 | − | 1.21311i | −0.961729 | − | 0.274004i | \(-0.911652\pi\) |
0.343616 | − | 0.939110i | \(-0.388348\pi\) | |||||||
\(384\) | 15.5974 | + | 21.4680i | 0.795952 | + | 1.09553i | ||||
\(385\) | −29.9538 | + | 6.75198i | −1.52659 | + | 0.344113i | ||||
\(386\) | 14.7728 | + | 10.7331i | 0.751917 | + | 0.546300i | ||||
\(387\) | 1.36291 | − | 8.60509i | 0.0692808 | − | 0.437422i | ||||
\(388\) | 6.40223 | − | 40.4221i | 0.325024 | − | 2.05212i | ||||
\(389\) | 7.48122 | − | 10.2970i | 0.379313 | − | 0.522079i | −0.576089 | − | 0.817387i | \(-0.695422\pi\) |
0.955402 | + | 0.295307i | \(0.0954220\pi\) | |||||||
\(390\) | −26.0771 | − | 11.2290i | −1.32046 | − | 0.568601i | ||||
\(391\) | 27.9994 | − | 20.3428i | 1.41599 | − | 1.02878i | ||||
\(392\) | −2.03344 | + | 1.03609i | −0.102704 | + | 0.0523305i | ||||
\(393\) | −8.25282 | + | 8.25282i | −0.416300 | + | 0.416300i | ||||
\(394\) | −5.46709 | + | 16.8260i | −0.275428 | + | 0.847680i | ||||
\(395\) | 7.00790 | + | 17.6075i | 0.352606 | + | 0.885928i | ||||
\(396\) | 5.16992 | + | 15.9114i | 0.259798 | + | 0.799576i | ||||
\(397\) | 11.8673 | + | 6.04669i | 0.595602 | + | 0.303475i | 0.725683 | − | 0.688029i | \(-0.241524\pi\) |
−0.130081 | + | 0.991503i | \(0.541524\pi\) | |||||||
\(398\) | 5.13129 | − | 0.812716i | 0.257208 | − | 0.0407378i | ||||
\(399\) | −25.8907 | + | 1.10983i | −1.29616 | + | 0.0555612i | ||||
\(400\) | −6.42528 | + | 6.07732i | −0.321264 | + | 0.303866i | ||||
\(401\) | 7.53916i | 0.376487i | 0.982122 | + | 0.188244i | \(0.0602795\pi\) | ||||
−0.982122 | + | 0.188244i | \(0.939721\pi\) | |||||||
\(402\) | −6.98390 | − | 44.0946i | −0.348325 | − | 2.19924i | ||||
\(403\) | 7.45168 | − | 14.6247i | 0.371194 | − | 0.728510i | ||||
\(404\) | −0.648674 | + | 0.210767i | −0.0322728 | + | 0.0104861i | ||||
\(405\) | 6.17911 | − | 24.2468i | 0.307042 | − | 1.20483i | ||||
\(406\) | −8.15987 | + | 25.1135i | −0.404968 | + | 1.24636i | ||||
\(407\) | −30.2094 | − | 30.2094i | −1.49742 | − | 1.49742i | ||||
\(408\) | 22.6405 | − | 11.5359i | 1.12087 | − | 0.571114i | ||||
\(409\) | −21.3360 | + | 15.5015i | −1.05500 | + | 0.766500i | −0.973156 | − | 0.230146i | \(-0.926080\pi\) |
−0.0818399 | + | 0.996645i | \(0.526080\pi\) | |||||||
\(410\) | 30.0974 | − | 34.2627i | 1.48640 | − | 1.69211i | ||||
\(411\) | 12.3351 | − | 16.9778i | 0.608445 | − | 0.837452i | ||||
\(412\) | −19.5722 | − | 3.09993i | −0.964252 | − | 0.152723i | ||||
\(413\) | 5.64759 | − | 35.6575i | 0.277900 | − | 1.75459i | ||||
\(414\) | 10.9164 | + | 7.93123i | 0.536512 | + | 0.389799i | ||||
\(415\) | 17.6574 | − | 10.4854i | 0.866768 | − | 0.514709i | ||||
\(416\) | 16.7515 | − | 12.1707i | 0.821312 | − | 0.596718i | ||||
\(417\) | 3.38233 | − | 1.72338i | 0.165633 | − | 0.0843944i | ||||
\(418\) | −30.7587 | + | 33.5138i | −1.50446 | + | 1.63921i | ||||
\(419\) | −7.89707 | − | 2.56591i | −0.385797 | − | 0.125353i | 0.109695 | − | 0.993965i | \(-0.465012\pi\) |
−0.495493 | + | 0.868612i | \(0.665012\pi\) | |||||||
\(420\) | −28.6129 | + | 23.7573i | −1.39617 | + | 1.15924i | ||||
\(421\) | 28.6590 | − | 9.31188i | 1.39676 | − | 0.453833i | 0.488615 | − | 0.872499i | \(-0.337502\pi\) |
0.908140 | + | 0.418666i | \(0.137502\pi\) | |||||||
\(422\) | −13.9832 | − | 7.12480i | −0.680692 | − | 0.346830i | ||||
\(423\) | 1.23681 | + | 7.80889i | 0.0601356 | + | 0.379681i | ||||
\(424\) | 6.21229i | 0.301695i | ||||||||
\(425\) | 19.9222 | + | 29.0894i | 0.966371 | + | 1.41104i | ||||
\(426\) | 17.0980i | 0.828403i | ||||||||
\(427\) | −27.2571 | + | 4.31710i | −1.31906 | + | 0.208919i | ||||
\(428\) | 35.0933 | + | 17.8809i | 1.69630 | + | 0.864307i | ||||
\(429\) | 26.2681 | − | 8.53502i | 1.26824 | − | 0.412075i | ||||
\(430\) | 18.1644 | − | 28.7365i | 0.875966 | − | 1.38580i | ||||
\(431\) | 7.72669 | + | 2.51055i | 0.372182 | + | 0.120929i | 0.489135 | − | 0.872208i | \(-0.337313\pi\) |
−0.116953 | + | 0.993137i | \(0.537313\pi\) | |||||||
\(432\) | 4.50174 | + | 4.50174i | 0.216590 | + | 0.216590i | ||||
\(433\) | 9.10745 | + | 17.8744i | 0.437676 | + | 0.858988i | 0.999497 | + | 0.0317287i | \(0.0101012\pi\) |
−0.561820 | + | 0.827259i | \(0.689899\pi\) | |||||||
\(434\) | −21.6721 | − | 29.8291i | −1.04029 | − | 1.43184i | ||||
\(435\) | −1.78124 | + | 19.2118i | −0.0854040 | + | 0.921137i | ||||
\(436\) | 5.77756 | − | 7.95213i | 0.276695 | − | 0.380838i | ||||
\(437\) | −2.43871 | + | 21.2543i | −0.116659 | + | 1.01673i | ||||
\(438\) | −14.2921 | − | 2.26365i | −0.682905 | − | 0.108162i | ||||
\(439\) | −3.61300 | − | 2.62500i | −0.172439 | − | 0.125284i | 0.498218 | − | 0.867052i | \(-0.333988\pi\) |
−0.670657 | + | 0.741767i | \(0.733988\pi\) | |||||||
\(440\) | −1.71818 | + | 18.5317i | −0.0819111 | + | 0.883464i | ||||
\(441\) | 1.32661 | − | 0.963839i | 0.0631720 | − | 0.0458971i | ||||
\(442\) | −19.7051 | − | 38.6735i | −0.937277 | − | 1.83951i | ||||
\(443\) | 21.2493 | + | 21.2493i | 1.00958 | + | 1.00958i | 0.999954 | + | 0.00963019i | \(0.00306543\pi\) |
0.00963019 | + | 0.999954i | \(0.496935\pi\) | |||||||
\(444\) | −49.2127 | − | 15.9902i | −2.33553 | − | 0.758861i | ||||
\(445\) | 4.22752 | + | 2.67223i | 0.200404 | + | 0.126676i | ||||
\(446\) | −12.4228 | − | 38.2335i | −0.588238 | − | 1.81041i | ||||
\(447\) | 6.33186 | − | 12.4270i | 0.299486 | − | 0.587775i | ||||
\(448\) | −5.68122 | − | 35.8698i | −0.268412 | − | 1.69469i | ||||
\(449\) | −35.2650 | −1.66426 | −0.832130 | − | 0.554581i | \(-0.812879\pi\) | ||||
−0.832130 | + | 0.554581i | \(0.812879\pi\) | |||||||
\(450\) | −8.38604 | + | 10.8918i | −0.395322 | + | 0.513444i | ||||
\(451\) | 44.3646i | 2.08905i | ||||||||
\(452\) | −5.50259 | − | 34.7420i | −0.258820 | − | 1.63413i | ||||
\(453\) | −3.47407 | + | 6.81824i | −0.163226 | + | 0.320349i | ||||
\(454\) | −25.7559 | + | 8.36859i | −1.20878 | + | 0.392757i | ||||
\(455\) | 11.5692 | + | 13.9337i | 0.542373 | + | 0.653224i | ||||
\(456\) | −4.20960 | + | 15.1327i | −0.197133 | + | 0.708654i | ||||
\(457\) | 6.00466 | − | 6.00466i | 0.280886 | − | 0.280886i | −0.552576 | − | 0.833462i | \(-0.686355\pi\) |
0.833462 | + | 0.552576i | \(0.186355\pi\) | |||||||
\(458\) | −1.67215 | − | 3.28179i | −0.0781346 | − | 0.153348i | ||||
\(459\) | 20.5329 | − | 14.9180i | 0.958394 | − | 0.696314i | ||||
\(460\) | 15.6763 | + | 26.3988i | 0.730910 | + | 1.23085i | ||||
\(461\) | 22.2393 | + | 16.1578i | 1.03579 | + | 0.752543i | 0.969459 | − | 0.245254i | \(-0.0788715\pi\) |
0.0663284 | + | 0.997798i | \(0.478872\pi\) | |||||||
\(462\) | 9.70576 | − | 61.2797i | 0.451553 | − | 2.85099i | ||||
\(463\) | −17.1029 | − | 2.70884i | −0.794840 | − | 0.125890i | −0.254208 | − | 0.967150i | \(-0.581815\pi\) |
−0.540632 | + | 0.841259i | \(0.681815\pi\) | |||||||
\(464\) | −5.98584 | − | 4.34897i | −0.277886 | − | 0.201896i | ||||
\(465\) | −20.2405 | − | 17.7799i | −0.938629 | − | 0.824521i | ||||
\(466\) | −24.8138 | − | 34.1532i | −1.14948 | − | 1.58212i | ||||
\(467\) | 9.48946 | + | 18.6241i | 0.439120 | + | 0.861822i | 0.999437 | + | 0.0335435i | \(0.0106792\pi\) |
−0.560317 | + | 0.828278i | \(0.689321\pi\) | |||||||
\(468\) | 6.97761 | − | 6.97761i | 0.322540 | − | 0.322540i | ||||
\(469\) | −8.80009 | + | 27.0839i | −0.406350 | + | 1.25062i | ||||
\(470\) | −7.61853 | + | 29.8950i | −0.351416 | + | 1.37895i | ||||
\(471\) | −2.18357 | + | 0.709487i | −0.100614 | + | 0.0326914i | ||||
\(472\) | −19.4971 | − | 9.93429i | −0.897429 | − | 0.457263i | ||||
\(473\) | 5.17355 | + | 32.6645i | 0.237880 | + | 1.50191i | ||||
\(474\) | −38.2923 | −1.75882 | ||||||||
\(475\) | −21.5749 | − | 3.08579i | −0.989926 | − | 0.141586i | ||||
\(476\) | −56.8546 | −2.60592 | ||||||||
\(477\) | −0.698263 | − | 4.40866i | −0.0319712 | − | 0.201858i | ||||
\(478\) | −16.9153 | − | 8.61879i | −0.773689 | − | 0.394214i | ||||
\(479\) | −5.81670 | + | 1.88996i | −0.265772 | + | 0.0863545i | −0.438872 | − | 0.898550i | \(-0.644622\pi\) |
0.173100 | + | 0.984904i | \(0.444622\pi\) | |||||||
\(480\) | −12.5678 | − | 31.5767i | −0.573637 | − | 1.44127i | ||||
\(481\) | −7.78681 | + | 23.9654i | −0.355048 | + | 1.09273i | ||||
\(482\) | 4.38704 | − | 4.38704i | 0.199824 | − | 0.199824i | ||||
\(483\) | −13.2472 | − | 25.9990i | −0.602767 | − | 1.18300i | ||||
\(484\) | −19.2405 | − | 26.4823i | −0.874569 | − | 1.20374i | ||||
\(485\) | −12.9375 | + | 30.0448i | −0.587463 | + | 1.36427i | ||||
\(486\) | 21.7695 | + | 15.8165i | 0.987484 | + | 0.717449i | ||||
\(487\) | 0.0716715 | + | 0.0113517i | 0.00324775 | + | 0.000514393i | 0.158058 | − | 0.987430i | \(-0.449477\pi\) |
−0.154810 | + | 0.987944i | \(0.549477\pi\) | |||||||
\(488\) | −2.61668 | + | 16.5211i | −0.118452 | + | 0.747875i | ||||
\(489\) | 22.8052 | + | 16.5689i | 1.03129 | + | 0.749274i | ||||
\(490\) | 6.24190 | − | 1.40701i | 0.281980 | − | 0.0635621i | ||||
\(491\) | −0.141240 | + | 0.102617i | −0.00637409 | + | 0.00463105i | −0.590968 | − | 0.806695i | \(-0.701254\pi\) |
0.584594 | + | 0.811326i | \(0.301254\pi\) | |||||||
\(492\) | 24.3948 | + | 47.8775i | 1.09980 | + | 2.15848i | ||||
\(493\) | −20.8569 | + | 20.8569i | −0.939348 | + | 0.939348i | ||||
\(494\) | 25.8490 | + | 7.19064i | 1.16300 | + | 0.323522i | ||||
\(495\) | −0.863629 | − | 13.3445i | −0.0388173 | − | 0.599789i | ||||
\(496\) | 9.82550 | − | 3.19250i | 0.441178 | − | 0.143347i | ||||
\(497\) | 4.95145 | − | 9.71776i | 0.222103 | − | 0.435901i | ||||
\(498\) | 6.49130 | + | 40.9844i | 0.290882 | + | 1.83656i | ||||
\(499\) | 7.22863i | 0.323598i | 0.986824 | + | 0.161799i | \(0.0517296\pi\) | ||||
−0.986824 | + | 0.161799i | \(0.948270\pi\) | |||||||
\(500\) | −27.3271 | + | 15.2155i | −1.22211 | + | 0.680460i | ||||
\(501\) | −8.85329 | −0.395536 | ||||||||
\(502\) | 5.43276 | + | 34.3011i | 0.242476 | + | 1.53093i | ||||
\(503\) | 1.76506 | − | 3.46413i | 0.0787002 | − | 0.154458i | −0.848303 | − | 0.529511i | \(-0.822375\pi\) |
0.927003 | + | 0.375053i | \(0.122375\pi\) | |||||||
\(504\) | −1.95280 | − | 6.01010i | −0.0869846 | − | 0.267711i | ||||
\(505\) | 0.544027 | − | 0.0352084i | 0.0242089 | − | 0.00156675i | ||||
\(506\) | −48.7134 | − | 15.8280i | −2.16558 | − | 0.703638i | ||||
\(507\) | 7.44277 | + | 7.44277i | 0.330545 | + | 0.330545i | ||||
\(508\) | −23.5532 | − | 46.2257i | −1.04500 | − | 2.05093i | ||||
\(509\) | −8.87552 | + | 6.44845i | −0.393401 | + | 0.285822i | −0.766848 | − | 0.641829i | \(-0.778176\pi\) |
0.373447 | + | 0.927652i | \(0.378176\pi\) | |||||||
\(510\) | −69.4978 | + | 15.6657i | −3.07742 | + | 0.693690i | ||||
\(511\) | 7.46748 | + | 5.42544i | 0.330342 | + | 0.240007i | ||||
\(512\) | 18.9762 | + | 3.00553i | 0.838636 | + | 0.132827i | ||||
\(513\) | −1.78838 | + | 15.5865i | −0.0789591 | + | 0.688161i | ||||
\(514\) | 23.5739 | − | 32.4467i | 1.03980 | − | 1.43116i | ||||
\(515\) | 14.5476 | + | 6.26429i | 0.641042 | + | 0.276038i | ||||
\(516\) | 23.5445 | + | 32.4062i | 1.03649 | + | 1.42660i | ||||
\(517\) | −13.6250 | − | 26.7406i | −0.599227 | − | 1.17605i | ||||
\(518\) | 40.0255 | + | 40.0255i | 1.75862 | + | 1.75862i | ||||
\(519\) | −20.7818 | − | 6.75242i | −0.912220 | − | 0.296398i | ||||
\(520\) | 10.1991 | − | 4.05933i | 0.447261 | − | 0.178013i | ||||
\(521\) | 16.9745 | − | 5.51534i | 0.743665 | − | 0.241631i | 0.0874120 | − | 0.996172i | \(-0.472140\pi\) |
0.656253 | + | 0.754541i | \(0.272140\pi\) | |||||||
\(522\) | −10.2465 | − | 5.22086i | −0.448478 | − | 0.228511i | ||||
\(523\) | 0.763352 | − | 0.120903i | 0.0333791 | − | 0.00528672i | −0.139723 | − | 0.990191i | \(-0.544621\pi\) |
0.173102 | + | 0.984904i | \(0.444621\pi\) | |||||||
\(524\) | − | 15.8284i | − | 0.691467i | ||||||
\(525\) | 26.8512 | − | 12.7532i | 1.17188 | − | 0.556596i | ||||
\(526\) | − | 61.3843i | − | 2.67648i | ||||||
\(527\) | −6.44285 | − | 40.6786i | −0.280655 | − | 1.77199i | ||||
\(528\) | 15.4898 | + | 7.89242i | 0.674105 | + | 0.343474i | ||||
\(529\) | −1.03585 | + | 0.336567i | −0.0450368 | + | 0.0146333i | ||||
\(530\) | 4.30118 | − | 16.8778i | 0.186831 | − | 0.733125i | ||||
\(531\) | 14.9531 | + | 4.85856i | 0.648909 | + | 0.210843i | ||||
\(532\) | 23.7641 | − | 25.8926i | 1.03030 | − | 1.12259i | ||||
\(533\) | 23.3151 | − | 11.8796i | 1.00989 | − | 0.514564i | ||||
\(534\) | −8.17563 | + | 5.93994i | −0.353794 | + | 0.257046i | ||||
\(535\) | −23.6517 | − | 20.7764i | −1.02255 | − | 0.898242i | ||||
\(536\) | 13.9644 | + | 10.1457i | 0.603170 | + | 0.438229i | ||||
\(537\) | −2.55076 | + | 16.1049i | −0.110073 | + | 0.694976i | ||||
\(538\) | 47.6697 | + | 7.55013i | 2.05518 | + | 0.325509i | ||||
\(539\) | −3.65868 | + | 5.03575i | −0.157591 | + | 0.216905i | ||||
\(540\) | 11.4959 | + | 19.3591i | 0.494706 | + | 0.833084i | ||||
\(541\) | −14.3042 | + | 10.3926i | −0.614985 | + | 0.446813i | −0.851166 | − | 0.524896i | \(-0.824104\pi\) |
0.236181 | + | 0.971709i | \(0.424104\pi\) | |||||||
\(542\) | −29.8773 | + | 15.2232i | −1.28334 | + | 0.653894i | ||||
\(543\) | −13.0478 | − | 13.0478i | −0.559936 | − | 0.559936i | ||||
\(544\) | 16.0553 | − | 49.4131i | 0.688364 | − | 2.11857i | ||||
\(545\) | −6.04459 | + | 5.01883i | −0.258922 | + | 0.214983i | ||||
\(546\) | −34.8035 | + | 11.3084i | −1.48945 | + | 0.483953i | ||||
\(547\) | −7.47867 | + | 14.6777i | −0.319765 | + | 0.627574i | −0.993807 | − | 0.111119i | \(-0.964557\pi\) |
0.674042 | + | 0.738693i | \(0.264557\pi\) | |||||||
\(548\) | 4.45220 | + | 28.1101i | 0.190189 | + | 1.20080i | ||||
\(549\) | − | 12.0186i | − | 0.512941i | ||||||
\(550\) | 17.4988 | − | 49.1581i | 0.746149 | − | 2.09611i | ||||
\(551\) | −0.780867 | − | 18.2164i | −0.0332661 | − | 0.776044i | ||||
\(552\) | −17.4685 | + | 2.76674i | −0.743509 | + | 0.117760i | ||||
\(553\) | 21.7636 | + | 11.0891i | 0.925483 | + | 0.471557i | ||||
\(554\) | 9.09095 | + | 27.9791i | 0.386237 | + | 1.18872i | ||||
\(555\) | 34.9610 | + | 22.0989i | 1.48401 | + | 0.938048i | ||||
\(556\) | −1.59088 | + | 4.89622i | −0.0674682 | + | 0.207646i | ||||
\(557\) | 22.8820 | − | 22.8820i | 0.969541 | − | 0.969541i | −0.0300082 | − | 0.999550i | \(-0.509553\pi\) |
0.999550 | + | 0.0300082i | \(0.00955333\pi\) | |||||||
\(558\) | 14.3073 | − | 7.28993i | 0.605676 | − | 0.308607i | ||||
\(559\) | 15.7810 | − | 11.4656i | 0.667464 | − | 0.484941i | ||||
\(560\) | −1.05238 | + | 11.3505i | −0.0444710 | + | 0.479648i | ||||
\(561\) | 40.7361 | − | 56.0684i | 1.71988 | − | 2.36721i | ||||
\(562\) | −0.327691 | + | 2.06896i | −0.0138228 | + | 0.0872738i | ||||
\(563\) | 5.57089 | − | 35.1732i | 0.234785 | − | 1.48237i | −0.535424 | − | 0.844583i | \(-0.679848\pi\) |
0.770209 | − | 0.637791i | \(-0.220152\pi\) | |||||||
\(564\) | −29.4077 | − | 21.3660i | −1.23829 | − | 0.899669i | ||||
\(565\) | −2.59560 | + | 27.9952i | −0.109198 | + | 1.17777i | ||||
\(566\) | 0.0751605 | + | 0.103449i | 0.00315923 | + | 0.00434831i | ||||
\(567\) | −14.6415 | − | 28.7356i | −0.614886 | − | 1.20678i | ||||
\(568\) | −4.67445 | − | 4.67445i | −0.196135 | − | 0.196135i | ||||
\(569\) | −8.63089 | + | 26.5631i | −0.361826 | + | 1.11359i | 0.590119 | + | 0.807316i | \(0.299081\pi\) |
−0.951945 | + | 0.306269i | \(0.900919\pi\) | |||||||
\(570\) | 21.9142 | − | 38.1986i | 0.917885 | − | 1.59996i | ||||
\(571\) | −2.61210 | − | 8.03921i | −0.109313 | − | 0.336431i | 0.881406 | − | 0.472360i | \(-0.156598\pi\) |
−0.990718 | + | 0.135930i | \(0.956598\pi\) | |||||||
\(572\) | −17.0055 | + | 33.3751i | −0.711034 | + | 1.39548i | ||||
\(573\) | −14.7653 | + | 2.33859i | −0.616829 | + | 0.0976961i | ||||
\(574\) | − | 58.7802i | − | 2.45344i | ||||||
\(575\) | −6.93116 | − | 23.5412i | −0.289049 | − | 0.981736i | ||||
\(576\) | 15.8163 | 0.659011 | ||||||||
\(577\) | 1.85776 | − | 0.294240i | 0.0773394 | − | 0.0122494i | −0.117645 | − | 0.993056i | \(-0.537534\pi\) |
0.194984 | + | 0.980806i | \(0.437534\pi\) | |||||||
\(578\) | −63.8630 | − | 32.5398i | −2.65635 | − | 1.35348i | ||||
\(579\) | 16.3554 | − | 5.31419i | 0.679707 | − | 0.220850i | ||||
\(580\) | −16.7154 | − | 20.1317i | −0.694069 | − | 0.835923i | ||||
\(581\) | 8.17938 | − | 25.1735i | 0.339338 | − | 1.04437i | ||||
\(582\) | −46.7385 | − | 46.7385i | −1.93737 | − | 1.93737i | ||||
\(583\) | 7.69225 | + | 15.0969i | 0.318580 | + | 0.625249i | ||||
\(584\) | 4.52620 | − | 3.28848i | 0.187296 | − | 0.136078i | ||||
\(585\) | −6.78171 | + | 4.02715i | −0.280389 | + | 0.166502i | ||||
\(586\) | 27.5996 | + | 20.0523i | 1.14013 | + | 0.828352i | ||||
\(587\) | 1.41593 | − | 8.93985i | 0.0584418 | − | 0.368987i | −0.941083 | − | 0.338175i | \(-0.890191\pi\) |
0.999525 | − | 0.0308124i | \(-0.00980944\pi\) | |||||||
\(588\) | −1.17938 | + | 7.44630i | −0.0486367 | + | 0.307080i | ||||
\(589\) | 21.2188 | + | 14.0686i | 0.874304 | + | 0.579687i | ||||
\(590\) | 46.0925 | + | 40.4891i | 1.89760 | + | 1.66691i | ||||
\(591\) | 9.79357 | + | 13.4797i | 0.402854 | + | 0.554480i | ||||
\(592\) | −14.1319 | + | 7.20055i | −0.580816 | + | 0.295941i | ||||
\(593\) | −3.96168 | − | 3.96168i | −0.162687 | − | 0.162687i | 0.621069 | − | 0.783756i | \(-0.286699\pi\) |
−0.783756 | + | 0.621069i | \(0.786699\pi\) | |||||||
\(594\) | −35.7232 | − | 11.6072i | −1.46574 | − | 0.476248i | ||||
\(595\) | 44.0361 | + | 11.2223i | 1.80531 | + | 0.460069i | ||||
\(596\) | 5.84502 | + | 17.9891i | 0.239421 | + | 0.736863i | ||||
\(597\) | 2.22127 | − | 4.35949i | 0.0909106 | − | 0.178422i | ||||
\(598\) | 4.72601 | + | 29.8389i | 0.193261 | + | 1.22020i | ||||
\(599\) | 32.9353 | 1.34570 | 0.672850 | − | 0.739779i | \(-0.265070\pi\) | ||||
0.672850 | + | 0.739779i | \(0.265070\pi\) | |||||||
\(600\) | −2.32240 | − | 17.8672i | −0.0948115 | − | 0.729426i | ||||
\(601\) | 28.7668i | 1.17342i | 0.809796 | + | 0.586711i | \(0.199578\pi\) | ||||
−0.809796 | + | 0.586711i | \(0.800422\pi\) | |||||||
\(602\) | −6.85462 | − | 43.2784i | −0.279373 | − | 1.76389i | ||||
\(603\) | −11.0505 | − | 5.63049i | −0.450009 | − | 0.229291i | ||||
\(604\) | −3.20696 | − | 9.86999i | −0.130489 | − | 0.401604i | ||||
\(605\) | 9.67532 | + | 24.3094i | 0.393358 | + | 0.988318i | ||||
\(606\) | −0.340403 | + | 1.04765i | −0.0138279 | + | 0.0425580i | ||||
\(607\) | −18.9669 | − | 18.9669i | −0.769842 | − | 0.769842i | 0.208236 | − | 0.978079i | \(-0.433228\pi\) |
−0.978079 | + | 0.208236i | \(0.933228\pi\) | |||||||
\(608\) | 15.7929 | + | 27.9655i | 0.640485 | + | 1.13415i | ||||
\(609\) | 14.6173 | + | 20.1190i | 0.592324 | + | 0.815265i | ||||
\(610\) | 18.5478 | − | 43.0735i | 0.750978 | − | 1.74400i | ||||
\(611\) | −10.4047 | + | 14.3208i | −0.420928 | + | 0.579358i | ||||
\(612\) | 3.87340 | − | 24.4557i | 0.156573 | − | 0.988562i | ||||
\(613\) | −29.4085 | − | 4.65784i | −1.18780 | − | 0.188129i | −0.468904 | − | 0.883249i | \(-0.655351\pi\) |
−0.718893 | + | 0.695121i | \(0.755351\pi\) | |||||||
\(614\) | −31.8717 | + | 43.8676i | −1.28624 | + | 1.77035i | ||||
\(615\) | −9.44441 | − | 41.8982i | −0.380835 | − | 1.68950i | ||||
\(616\) | 14.0998 | + | 19.4068i | 0.568099 | + | 0.781921i | ||||
\(617\) | 14.9502 | + | 29.3414i | 0.601873 | + | 1.18124i | 0.968064 | + | 0.250702i | \(0.0806615\pi\) |
−0.366191 | + | 0.930540i | \(0.619338\pi\) | |||||||
\(618\) | −22.6305 | + | 22.6305i | −0.910333 | + | 0.910333i | ||||
\(619\) | −18.6903 | − | 6.07286i | −0.751228 | − | 0.244089i | −0.0917187 | − | 0.995785i | \(-0.529236\pi\) |
−0.659510 | + | 0.751696i | \(0.729236\pi\) | |||||||
\(620\) | 36.4603 | − | 2.35964i | 1.46428 | − | 0.0947656i | ||||
\(621\) | −16.8008 | + | 5.45890i | −0.674192 | + | 0.219058i | ||||
\(622\) | 6.91263 | − | 13.5668i | 0.277171 | − | 0.543979i | ||||
\(623\) | 6.36682 | − | 1.00840i | 0.255081 | − | 0.0404009i | ||||
\(624\) | − | 10.2538i | − | 0.410480i | ||||||
\(625\) | 24.1693 | − | 6.39107i | 0.966771 | − | 0.255643i | ||||
\(626\) | − | 5.07502i | − | 0.202838i | ||||||
\(627\) | 8.50776 | + | 41.9875i | 0.339767 | + | 1.67682i | ||||
\(628\) | 1.41360 | − | 2.77435i | 0.0564090 | − | 0.110709i | ||||
\(629\) | 19.5388 | + | 60.1343i | 0.779064 | + | 2.39771i | ||||
\(630\) | 1.14425 | + | 17.6805i | 0.0455882 | + | 0.704410i | ||||
\(631\) | −11.3627 | + | 34.9707i | −0.452341 | + | 1.39216i | 0.421887 | + | 0.906648i | \(0.361368\pi\) |
−0.874228 | + | 0.485515i | \(0.838632\pi\) | |||||||
\(632\) | 10.4688 | − | 10.4688i | 0.416425 | − | 0.416425i | ||||
\(633\) | −13.1691 | + | 6.70998i | −0.523424 | + | 0.266698i | ||||
\(634\) | 17.9094 | + | 24.6502i | 0.711273 | + | 0.978983i | ||||
\(635\) | 9.11858 | + | 40.4527i | 0.361860 | + | 1.60532i | ||||
\(636\) | 16.6027 | + | 12.0626i | 0.658339 | + | 0.478311i | ||||
\(637\) | 3.62616 | + | 0.574327i | 0.143674 | + | 0.0227557i | ||||
\(638\) | 43.1157 | + | 6.82886i | 1.70697 | + | 0.270357i | ||||
\(639\) | 3.84271 | + | 2.79189i | 0.152015 | + | 0.110446i | ||||
\(640\) | 26.4195 | + | 11.3764i | 1.04432 | + | 0.449693i | ||||
\(641\) | −19.6001 | − | 26.9772i | −0.774156 | − | 1.06553i | −0.995903 | − | 0.0904302i | \(-0.971176\pi\) |
0.221747 | − | 0.975104i | \(-0.428824\pi\) | |||||||
\(642\) | 56.6780 | − | 28.8789i | 2.23690 | − | 1.13976i | ||||
\(643\) | 23.9035 | + | 23.9035i | 0.942662 | + | 0.942662i | 0.998443 | − | 0.0557807i | \(-0.0177648\pi\) |
−0.0557807 | + | 0.998443i | \(0.517765\pi\) | |||||||
\(644\) | 37.6359 | + | 12.2286i | 1.48306 | + | 0.481876i | ||||
\(645\) | −11.8396 | − | 29.7472i | −0.466184 | − | 1.17130i | ||||
\(646\) | 63.0788 | − | 23.5272i | 2.48180 | − | 0.925664i | ||||
\(647\) | −27.8650 | − | 14.1979i | −1.09548 | − | 0.558177i | −0.189669 | − | 0.981848i | \(-0.560741\pi\) |
−0.905816 | + | 0.423671i | \(0.860741\pi\) | |||||||
\(648\) | −19.3072 | + | 3.05796i | −0.758458 | + | 0.120128i | ||||
\(649\) | −59.6822 | −2.34273 | ||||||||
\(650\) | −30.5199 | + | 3.96701i | −1.19709 | + | 0.155599i | ||||
\(651\) | −34.7241 | −1.36094 | ||||||||
\(652\) | −37.7586 | + | 5.98037i | −1.47874 | + | 0.234209i | ||||
\(653\) | 13.7889 | − | 27.0622i | 0.539600 | − | 1.05902i | −0.446796 | − | 0.894636i | \(-0.647435\pi\) |
0.986396 | − | 0.164389i | \(-0.0525651\pi\) | |||||||
\(654\) | −4.90567 | − | 15.0981i | −0.191827 | − | 0.590382i | ||||
\(655\) | −3.12430 | + | 12.2597i | −0.122076 | + | 0.479027i | ||||
\(656\) | 15.6640 | + | 5.08956i | 0.611578 | + | 0.198714i | ||||
\(657\) | −2.84247 | + | 2.84247i | −0.110895 | + | 0.110895i | ||||
\(658\) | 18.0522 | + | 35.4295i | 0.703750 | + | 1.38119i | ||||
\(659\) | 5.50362 | − | 3.99861i | 0.214390 | − | 0.155764i | −0.475407 | − | 0.879766i | \(-0.657699\pi\) |
0.689798 | + | 0.724002i | \(0.257699\pi\) | |||||||
\(660\) | 46.1907 | + | 40.5754i | 1.79797 | + | 1.57939i | ||||
\(661\) | 21.9288 | − | 30.1824i | 0.852931 | − | 1.17396i | −0.130278 | − | 0.991477i | \(-0.541587\pi\) |
0.983209 | − | 0.182481i | \(-0.0584129\pi\) | |||||||
\(662\) | 7.14128 | − | 45.0882i | 0.277554 | − | 1.75240i | ||||
\(663\) | −40.3739 | − | 6.39460i | −1.56799 | − | 0.248346i | ||||
\(664\) | −12.9794 | − | 9.43010i | −0.503699 | − | 0.365959i | ||||
\(665\) | −23.5170 | + | 15.3642i | −0.911952 | + | 0.595798i | ||||
\(666\) | −19.9436 | + | 14.4899i | −0.772800 | + | 0.561472i | ||||
\(667\) | 18.2926 | − | 9.32055i | 0.708293 | − | 0.360893i | ||||
\(668\) | 8.49002 | − | 8.49002i | 0.328489 | − | 0.328489i | ||||
\(669\) | −36.0075 | − | 11.6996i | −1.39213 | − | 0.452331i | ||||
\(670\) | −30.9145 | − | 37.2328i | −1.19433 | − | 1.43843i | ||||
\(671\) | 14.0980 | + | 43.3891i | 0.544246 | + | 1.67502i | ||||
\(672\) | −39.0302 | − | 19.8869i | −1.50562 | − | 0.767154i | ||||
\(673\) | −28.9140 | + | 4.57953i | −1.11455 | + | 0.176528i | −0.686432 | − | 0.727194i | \(-0.740824\pi\) |
−0.428120 | + | 0.903722i | \(0.640824\pi\) | |||||||
\(674\) | 20.8059i | 0.801412i | ||||||||
\(675\) | −5.08285 | − | 17.2635i | −0.195639 | − | 0.664474i | ||||
\(676\) | −14.2748 | −0.549029 | ||||||||
\(677\) | 0.270543 | + | 1.70814i | 0.0103978 | + | 0.0656492i | 0.992342 | − | 0.123523i | \(-0.0394194\pi\) |
−0.981944 | + | 0.189173i | \(0.939419\pi\) | |||||||
\(678\) | −50.6181 | − | 25.7912i | −1.94398 | − | 0.990506i | ||||
\(679\) | 13.0290 | + | 40.0991i | 0.500007 | + | 1.53886i | ||||
\(680\) | 14.7172 | − | 23.2829i | 0.564379 | − | 0.892860i | ||||
\(681\) | −7.88136 | + | 24.2563i | −0.302014 | + | 0.929504i | ||||
\(682\) | −43.1004 | + | 43.1004i | −1.65040 | + | 1.65040i | ||||
\(683\) | −2.48212 | − | 4.87143i | −0.0949756 | − | 0.186400i | 0.838631 | − | 0.544700i | \(-0.183357\pi\) |
−0.933607 | + | 0.358300i | \(0.883357\pi\) | |||||||
\(684\) | 9.51858 | + | 11.9860i | 0.363952 | + | 0.458296i | ||||
\(685\) | 2.10013 | − | 22.6512i | 0.0802417 | − | 0.865458i | ||||
\(686\) | −21.1262 | + | 29.0777i | −0.806600 | + | 1.11019i | ||||
\(687\) | −3.42608 | − | 0.542638i | −0.130713 | − | 0.0207029i | ||||
\(688\) | 12.1266 | + | 1.92066i | 0.462321 | + | 0.0732244i | ||||
\(689\) | 5.87416 | − | 8.08508i | 0.223788 | − | 0.308017i | ||||
\(690\) | 49.3748 | + | 4.57782i | 1.87967 | + | 0.174275i | ||||
\(691\) | −6.88968 | + | 5.00565i | −0.262096 | + | 0.190424i | −0.711071 | − | 0.703121i | \(-0.751789\pi\) |
0.448975 | + | 0.893544i | \(0.351789\pi\) | |||||||
\(692\) | 26.4044 | − | 13.4537i | 1.00375 | − | 0.511434i | ||||
\(693\) | −12.1875 | − | 12.1875i | −0.462966 | − | 0.462966i | ||||
\(694\) | −11.3207 | + | 34.8415i | −0.429727 | + | 1.32256i | ||||
\(695\) | 2.19864 | − | 3.47830i | 0.0833992 | − | 0.131939i | ||||
\(696\) | 14.3356 | − | 4.65792i | 0.543389 | − | 0.176558i | ||||
\(697\) | 29.8086 | − | 58.5027i | 1.12908 | − | 2.21595i | ||||
\(698\) | 10.3083 | − | 1.63267i | 0.390174 | − | 0.0617975i | ||||
\(699\) | −39.7578 | −1.50378 | ||||||||
\(700\) | −13.5195 | + | 37.9794i | −0.510989 | + | 1.43549i | ||||
\(701\) | 12.0068 | 0.453489 | 0.226745 | − | 0.973954i | \(-0.427192\pi\) | ||||
0.226745 | + | 0.973954i | \(0.427192\pi\) | |||||||
\(702\) | 3.46574 | + | 21.8818i | 0.130806 | + | 0.825877i | ||||
\(703\) | −35.5531 | − | 16.2366i | −1.34091 | − | 0.612374i | ||||
\(704\) | −57.0992 | + | 18.5527i | −2.15201 | + | 0.699230i | ||||
\(705\) | 18.5601 | + | 22.3535i | 0.699015 | + | 0.841880i | ||||
\(706\) | 58.9968 | + | 19.1692i | 2.22037 | + | 0.721444i | ||||
\(707\) | 0.496861 | − | 0.496861i | 0.0186864 | − | 0.0186864i | ||||
\(708\) | −64.4080 | + | 32.8175i | −2.42060 | + | 1.23336i | ||||
\(709\) | −19.1153 | − | 26.3099i | −0.717890 | − | 0.988090i | −0.999591 | − | 0.0285882i | \(-0.990899\pi\) |
0.281702 | − | 0.959502i | \(-0.409101\pi\) | |||||||
\(710\) | 9.46330 | + | 15.9362i | 0.355151 | + | 0.598073i | ||||
\(711\) | −6.25264 | + | 8.60602i | −0.234492 | + | 0.322751i | ||||
\(712\) | 0.611216 | − | 3.85907i | 0.0229063 | − | 0.144625i | ||||
\(713\) | −4.48444 | + | 28.3136i | −0.167944 | + | 1.06035i | ||||
\(714\) | −53.9727 | + | 74.2871i | −2.01988 | + | 2.78012i | ||||
\(715\) | 19.7592 | − | 22.4937i | 0.738951 | − | 0.841217i | ||||
\(716\) | −12.9980 | − | 17.8902i | −0.485757 | − | 0.668587i | ||||
\(717\) | −15.9305 | + | 8.11699i | −0.594935 | + | 0.303134i | ||||
\(718\) | −23.6979 | + | 23.6979i | −0.884399 | + | 0.884399i | ||||
\(719\) | −0.135297 | − | 0.0439606i | −0.00504572 | − | 0.00163945i | 0.306493 | − | 0.951873i | \(-0.400844\pi\) |
−0.311539 | + | 0.950233i | \(0.600844\pi\) | |||||||
\(720\) | −4.81068 | − | 1.22597i | −0.179283 | − | 0.0456891i | ||||
\(721\) | 19.4158 | − | 6.30857i | 0.723082 | − | 0.234944i | ||||
\(722\) | −15.6509 | + | 38.5612i | −0.582467 | + | 1.43510i | ||||
\(723\) | −0.914044 | − | 5.77105i | −0.0339937 | − | 0.214628i | ||||
\(724\) | 25.0249 | 0.930043 | ||||||||
\(725\) | 8.97303 | + | 18.8922i | 0.333250 | + | 0.701638i | ||||
\(726\) | −52.8675 | −1.96210 | ||||||||
\(727\) | −23.6865 | + | 3.75158i | −0.878485 | + | 0.139138i | −0.579356 | − | 0.815074i | \(-0.696696\pi\) |
−0.299129 | + | 0.954213i | \(0.596696\pi\) | |||||||
\(728\) | 6.42337 | − | 12.6066i | 0.238066 | − | 0.467231i | ||||
\(729\) | −7.82555 | + | 2.54268i | −0.289835 | + | 0.0941732i | ||||
\(730\) | −14.5738 | + | 5.80048i | −0.539401 | + | 0.214685i | ||||
\(731\) | 15.1251 | − | 46.5501i | 0.559421 | − | 1.72172i | ||||
\(732\) | 39.0727 | + | 39.0727i | 1.44417 | + | 1.44417i | ||||
\(733\) | −44.2510 | + | 22.5470i | −1.63445 | + | 0.832793i | −0.636334 | + | 0.771414i | \(0.719550\pi\) |
−0.998114 | + | 0.0613797i | \(0.980450\pi\) | |||||||
\(734\) | 41.3752 | − | 30.0608i | 1.52719 | − | 1.10957i | ||||
\(735\) | 2.38327 | − | 5.53466i | 0.0879082 | − | 0.204149i | ||||
\(736\) | −21.2561 | + | 29.2566i | −0.783512 | + | 1.07841i | ||||
\(737\) | 46.4986 | + | 7.36465i | 1.71280 | + | 0.271280i | ||||
\(738\) | 25.2840 | + | 4.00459i | 0.930716 | + | 0.147411i | ||||
\(739\) | −15.5952 | + | 21.4649i | −0.573678 | + | 0.789600i | −0.992984 | − | 0.118245i | \(-0.962273\pi\) |
0.419306 | + | 0.907845i | \(0.362273\pi\) | |||||||
\(740\) | −54.7187 | + | 12.3343i | −2.01150 | + | 0.453418i | ||||
\(741\) | 19.7877 | − | 15.7142i | 0.726920 | − | 0.577277i | ||||
\(742\) | −10.1917 | − | 20.0024i | −0.374150 | − | 0.734312i | ||||
\(743\) | 26.1281 | − | 26.1281i | 0.958547 | − | 0.958547i | −0.0406275 | − | 0.999174i | \(-0.512936\pi\) |
0.999174 | + | 0.0406275i | \(0.0129357\pi\) | |||||||
\(744\) | −6.50388 | + | 20.0169i | −0.238444 | + | 0.733855i | ||||
\(745\) | −0.976405 | − | 15.0870i | −0.0357727 | − | 0.552745i | ||||
\(746\) | 5.02622 | + | 15.4691i | 0.184023 | + | 0.566365i | ||||
\(747\) | 10.2710 | + | 5.23335i | 0.375797 | + | 0.191478i | ||||
\(748\) | 14.7032 | + | 92.8325i | 0.537603 | + | 3.39429i | ||||
\(749\) | −40.5763 | −1.48263 | ||||||||
\(750\) | −6.06109 | + | 50.1504i | −0.221320 | + | 1.83123i | ||||
\(751\) | − | 11.7877i | − | 0.430138i | −0.976599 | − | 0.215069i | \(-0.931002\pi\) | ||
0.976599 | − | 0.215069i | \(-0.0689976\pi\) | |||||||
\(752\) | −11.0045 | + | 1.74294i | −0.401294 | + | 0.0635587i | ||||
\(753\) | 29.1419 | + | 14.8485i | 1.06199 | + | 0.541111i | ||||
\(754\) | −7.95643 | − | 24.4874i | −0.289756 | − | 0.891778i | ||||
\(755\) | 0.535719 | + | 8.27771i | 0.0194968 | + | 0.301257i | ||||
\(756\) | 27.5996 | + | 8.96766i | 1.00379 | + | 0.326151i | ||||
\(757\) | −35.9591 | + | 35.9591i | −1.30696 | + | 1.30696i | −0.383356 | + | 0.923601i | \(0.625232\pi\) |
−0.923601 | + | 0.383356i | \(0.874768\pi\) | |||||||
\(758\) | 15.5920 | − | 7.94453i | 0.566328 | − | 0.288558i | ||||
\(759\) | −39.0255 | + | 28.3537i | −1.41654 | + | 1.02917i | ||||
\(760\) | 4.45200 | + | 16.4343i | 0.161491 | + | 0.596134i | ||||
\(761\) | −9.05845 | − | 6.58135i | −0.328369 | − | 0.238574i | 0.411369 | − | 0.911469i | \(-0.365051\pi\) |
−0.739738 | + | 0.672895i | \(0.765051\pi\) | |||||||
\(762\) | −82.7586 | − | 13.1077i | −2.99803 | − | 0.474841i | ||||
\(763\) | −1.58412 | + | 10.0017i | −0.0573489 | + | 0.362087i | ||||
\(764\) | 11.9168 | − | 16.4021i | 0.431135 | − | 0.593407i | ||||
\(765\) | −7.82731 | + | 18.1773i | −0.282997 | + | 0.657203i | ||||
\(766\) | 47.2158 | − | 34.3043i | 1.70598 | − | 1.23946i | ||||
\(767\) | 15.9813 | + | 31.3651i | 0.577051 | + | 1.13253i | ||||
\(768\) | −4.33877 | + | 4.33877i | −0.156562 | + | 0.156562i | ||||
\(769\) | 20.7456 | + | 6.74065i | 0.748105 | + | 0.243074i | 0.658165 | − | 0.752873i | \(-0.271333\pi\) |
0.0899392 | + | 0.995947i | \(0.471333\pi\) | |||||||
\(770\) | −24.8704 | − | 62.4874i | −0.896269 | − | 2.25189i | ||||
\(771\) | −11.6720 | − | 35.9226i | −0.420356 | − | 1.29372i | ||||
\(772\) | −10.5882 | + | 20.7804i | −0.381076 | + | 0.747905i | ||||
\(773\) | −8.73220 | + | 1.38304i | −0.314075 | + | 0.0497447i | −0.311482 | − | 0.950252i | \(-0.600825\pi\) |
−0.00259321 | + | 0.999997i | \(0.500825\pi\) | |||||||
\(774\) | 19.0829 | 0.685922 | ||||||||
\(775\) | −28.7057 | − | 5.36910i | −1.03114 | − | 0.192864i | ||||
\(776\) | 25.5557 | 0.917397 | ||||||||
\(777\) | 52.6527 | − | 8.33937i | 1.88891 | − | 0.299173i | ||||
\(778\) | 24.8396 | + | 12.6564i | 0.890542 | + | 0.453754i | ||||
\(779\) | 14.1838 | + | 38.0283i | 0.508189 | + | 1.36251i | ||||
\(780\) | 8.95512 | − | 35.1398i | 0.320645 | − | 1.25821i | ||||
\(781\) | −17.1477 | − | 5.57163i | −0.613594 | − | 0.199369i | ||||
\(782\) | 53.6026 | + | 53.6026i | 1.91683 | + | 1.91683i | ||||
\(783\) | 13.4146 | − | 6.83507i | 0.479398 | − | 0.244266i | ||||
\(784\) | 1.35827 | + | 1.86950i | 0.0485097 | + | 0.0667679i | ||||
\(785\) | −1.64251 | + | 1.86982i | −0.0586237 | + | 0.0667369i | ||||
\(786\) | −20.6816 | − | 15.0261i | −0.737689 | − | 0.535963i | ||||
\(787\) | 7.47687 | + | 1.18422i | 0.266522 | + | 0.0422129i | 0.288265 | − | 0.957551i | \(-0.406922\pi\) |
−0.0217432 | + | 0.999764i | \(0.506922\pi\) | |||||||
\(788\) | −22.3183 | − | 3.53488i | −0.795057 | − | 0.125925i | ||||
\(789\) | −46.7696 | − | 33.9801i | −1.66504 | − | 1.20972i | ||||
\(790\) | −35.6902 | + | 21.1937i | −1.26980 | + | 0.754039i | ||||
\(791\) | 21.3002 | + | 29.3172i | 0.757346 | + | 1.04240i | ||||
\(792\) | −9.30832 | + | 4.74282i | −0.330757 | + | 0.168529i | ||||
\(793\) | 19.0274 | − | 19.0274i | 0.675683 | − | 0.675683i | ||||
\(794\) | −9.01494 | + | 27.7451i | −0.319928 | + | 0.984638i | ||||
\(795\) | −10.4785 | − | 12.6201i | −0.371633 | − | 0.447588i | ||||
\(796\) | 2.05049 | + | 6.31074i | 0.0726775 | + | 0.223678i | ||||
\(797\) | 13.7332 | − | 26.9529i | 0.486455 | − | 0.954721i | −0.509115 | − | 0.860698i | \(-0.670027\pi\) |
0.995570 | − | 0.0940228i | \(-0.0299727\pi\) | |||||||
\(798\) | −11.2722 | − | 55.6307i | −0.399033 | − | 1.96931i | ||||
\(799\) | 44.4169i | 1.57136i | ||||||||
\(800\) | −29.1906 | − | 22.4750i | −1.03204 | − | 0.794613i | ||||
\(801\) | 2.80735i | 0.0991930i | ||||||||
\(802\) | −16.3099 | + | 2.58324i | −0.575924 | + | 0.0912174i | ||||
\(803\) | 6.92752 | − | 13.5960i | 0.244467 | − | 0.479793i | ||||
\(804\) | 54.2300 | − | 17.6204i | 1.91255 | − | 0.621424i | ||||
\(805\) | −26.7367 | − | 16.9003i | −0.942345 | − | 0.595659i | ||||
\(806\) | 34.1919 | + | 11.1096i | 1.20436 | + | 0.391320i | ||||
\(807\) | 32.1407 | − | 32.1407i | 1.13141 | − | 1.13141i | ||||
\(808\) | −0.193355 | − | 0.379481i | −0.00680222 | − | 0.0133501i | ||||
\(809\) | 25.4514 | + | 35.0309i | 0.894824 | + | 1.23162i | 0.972090 | + | 0.234610i | \(0.0753812\pi\) |
−0.0772652 | + | 0.997011i | \(0.524619\pi\) | |||||||
\(810\) | 54.5718 | + | 5.05967i | 1.91746 | + | 0.177779i | ||||
\(811\) | 8.23749 | − | 11.3379i | 0.289257 | − | 0.398129i | −0.639515 | − | 0.768778i | \(-0.720865\pi\) |
0.928773 | + | 0.370650i | \(0.120865\pi\) | |||||||
\(812\) | −33.3111 | − | 5.27596i | −1.16899 | − | 0.185150i | ||||
\(813\) | −4.94016 | + | 31.1909i | −0.173259 | + | 1.09391i | ||||
\(814\) | 55.0029 | − | 75.7050i | 1.92785 | − | 2.65346i | ||||
\(815\) | 30.4260 | + | 2.82097i | 1.06577 | + | 0.0988142i | ||||
\(816\) | −15.1231 | − | 20.8152i | −0.529415 | − | 0.728677i | ||||
\(817\) | 14.8779 | + | 26.3453i | 0.520510 | + | 0.921704i | ||||
\(818\) | −40.8460 | − | 40.8460i | −1.42815 | − | 1.42815i | ||||
\(819\) | −3.14147 | + | 9.66846i | −0.109772 | + | 0.337843i | ||||
\(820\) | 49.2359 | + | 31.1222i | 1.71939 | + | 1.08683i | ||||
\(821\) | −4.16643 | − | 12.8229i | −0.145409 | − | 0.447524i | 0.851654 | − | 0.524104i | \(-0.175600\pi\) |
−0.997063 | + | 0.0765804i | \(0.975600\pi\) | |||||||
\(822\) | 40.9556 | + | 20.8679i | 1.42849 | + | 0.727853i | ||||
\(823\) | −1.05159 | − | 6.63948i | −0.0366562 | − | 0.231438i | 0.962558 | − | 0.271076i | \(-0.0873795\pi\) |
−0.999214 | + | 0.0396382i | \(0.987379\pi\) | |||||||
\(824\) | − | 12.3740i | − | 0.431067i | ||||||
\(825\) | −27.7676 | − | 40.5447i | −0.966743 | − | 1.41158i | ||||
\(826\) | 79.0752 | 2.75138 | ||||||||
\(827\) | −5.87396 | − | 37.0867i | −0.204258 | − | 1.28963i | −0.850287 | − | 0.526319i | \(-0.823572\pi\) |
0.646030 | − | 0.763312i | \(-0.276428\pi\) | |||||||
\(828\) | −7.82414 | + | 15.3557i | −0.271908 | + | 0.533649i | ||||
\(829\) | −8.64807 | − | 26.6160i | −0.300360 | − | 0.924412i | −0.981368 | − | 0.192137i | \(-0.938458\pi\) |
0.681008 | − | 0.732276i | \(-0.261542\pi\) | |||||||
\(830\) | 28.7340 | + | 34.6066i | 0.997370 | + | 1.20121i | ||||
\(831\) | 26.3501 | + | 8.56166i | 0.914074 | + | 0.297001i | ||||
\(832\) | 25.0397 | + | 25.0397i | 0.868095 | + | 0.868095i | ||||
\(833\) | 8.20816 | − | 4.18227i | 0.284396 | − | 0.144907i | ||||
\(834\) | 4.88724 | + | 6.72670i | 0.169231 | + | 0.232927i | ||||
\(835\) | −8.25167 | + | 4.90005i | −0.285561 | + | 0.169573i | ||||
\(836\) | −48.4233 | − | 32.1060i | −1.67476 | − | 1.11041i | ||||
\(837\) | −3.28859 | + | 20.7633i | −0.113670 | + | 0.717686i | ||||
\(838\) | 2.84513 | − | 17.9634i | 0.0982833 | − | 0.620537i | ||||
\(839\) | −45.0802 | − | 32.7527i | −1.55634 | − | 1.13075i | −0.938929 | − | 0.344111i | \(-0.888180\pi\) |
−0.617414 | − | 0.786639i | \(-0.711820\pi\) | |||||||
\(840\) | −17.4473 | − | 15.3263i | −0.601991 | − | 0.528807i | ||||
\(841\) | 9.30597 | − | 6.76118i | 0.320895 | − | 0.233144i | ||||
\(842\) | 29.9648 | + | 58.8093i | 1.03266 | + | 2.02670i | ||||
\(843\) | 1.39497 | + | 1.39497i | 0.0480454 | + | 0.0480454i | ||||
\(844\) | 6.19407 | − | 19.0634i | 0.213209 | − | 0.656189i | ||||
\(845\) | 11.0564 | + | 2.81764i | 0.380351 | + | 0.0969296i | ||||
\(846\) | −16.4697 | + | 5.35133i | −0.566240 | + | 0.183982i | ||||
\(847\) | 30.0475 | + | 15.3100i | 1.03244 | + | 0.526057i | ||||
\(848\) | 6.21281 | − | 0.984012i | 0.213349 | − | 0.0337911i | ||||
\(849\) | 0.120426 | 0.00413300 | ||||||||
\(850\) | −56.1046 | + | 53.0663i | −1.92437 | + | 1.82016i | ||||
\(851\) | − | 44.0095i | − | 1.50863i | ||||||
\(852\) | −21.5692 | + | 3.41623i | −0.738949 | + | 0.117038i | ||||
\(853\) | 18.9376 | − | 37.1671i | 0.648411 | − | 1.27258i | −0.299517 | − | 0.954091i | \(-0.596825\pi\) |
0.947927 | − | 0.318487i | \(-0.103175\pi\) | |||||||
\(854\) | −18.6789 | − | 57.4877i | −0.639179 | − | 1.96719i | ||||
\(855\) | −5.00665 | − | 11.1625i | −0.171224 | − | 0.381748i | ||||
\(856\) | −7.60002 | + | 23.3905i | −0.259763 | + | 0.799469i | ||||
\(857\) | 21.1378 | + | 21.1378i | 0.722054 | + | 0.722054i | 0.969023 | − | 0.246969i | \(-0.0794347\pi\) |
−0.246969 | + | 0.969023i | \(0.579435\pi\) | |||||||
\(858\) | 27.4649 | + | 53.9030i | 0.937638 | + | 1.84022i | ||||
\(859\) | 23.3093 | + | 32.0825i | 0.795303 | + | 1.09464i | 0.993427 | + | 0.114464i | \(0.0365151\pi\) |
−0.198124 | + | 0.980177i | \(0.563485\pi\) | |||||||
\(860\) | 39.8805 | + | 17.1728i | 1.35991 | + | 0.585589i | ||||
\(861\) | −44.7855 | − | 32.5386i | −1.52629 | − | 1.10891i | ||||
\(862\) | −2.78374 | + | 17.5759i | −0.0948147 | + | 0.598636i | ||||
\(863\) | −2.81314 | + | 17.7615i | −0.0957605 | + | 0.604608i | 0.892407 | + | 0.451231i | \(0.149015\pi\) |
−0.988168 | + | 0.153377i | \(0.950985\pi\) | |||||||
\(864\) | −15.5878 | + | 21.4548i | −0.530309 | + | 0.729907i | ||||
\(865\) | −23.1069 | + | 5.20859i | −0.785657 | + | 0.177098i | ||||
\(866\) | −35.5482 | + | 25.8273i | −1.20798 | + | 0.877646i | ||||
\(867\) | −60.1448 | + | 30.6453i | −2.04263 | + | 1.04077i | ||||
\(868\) | 33.2993 | − | 33.2993i | 1.13025 | − | 1.13025i | ||||
\(869\) | 12.4781 | − | 38.4035i | 0.423289 | − | 1.30275i | ||||
\(870\) | −42.1725 | + | 2.72933i | −1.42978 | + | 0.0925330i | ||||
\(871\) | −8.58069 | − | 26.4086i | −0.290746 | − | 0.894823i | ||||
\(872\) | 5.46885 | + | 2.78652i | 0.185198 | + | 0.0943633i | ||||
\(873\) | −18.1361 | + | 2.87247i | −0.613813 | + | 0.0972184i | ||||
\(874\) | −46.8165 | + | 2.00684i | −1.58359 | + | 0.0678825i | ||||
\(875\) | 17.9680 | − | 26.7480i | 0.607428 | − | 0.904247i | ||||
\(876\) | − | 18.4818i | − | 0.624444i | ||||||
\(877\) | −1.34948 | − | 8.52026i | −0.0455686 | − | 0.287709i | 0.954372 | − | 0.298621i | \(-0.0965265\pi\) |
−0.999940 | + | 0.0109120i | \(0.996527\pi\) | |||||||
\(878\) | 4.44086 | − | 8.71567i | 0.149872 | − | 0.294140i | ||||
\(879\) | 30.5562 | − | 9.92833i | 1.03064 | − | 0.334874i | ||||
\(880\) | 18.8054 | − | 1.21705i | 0.633930 | − | 0.0410268i | ||||
\(881\) | −1.24787 | + | 3.84056i | −0.0420419 | + | 0.129392i | −0.969874 | − | 0.243605i | \(-0.921670\pi\) |
0.927833 | + | 0.372997i | \(0.121670\pi\) | |||||||
\(882\) | 2.53969 | + | 2.53969i | 0.0855158 | + | 0.0855158i | ||||
\(883\) | 52.5437 | − | 26.7723i | 1.76823 | − | 0.900961i | 0.827772 | − | 0.561065i | \(-0.189608\pi\) |
0.940463 | − | 0.339895i | \(-0.110392\pi\) | |||||||
\(884\) | 44.8495 | − | 32.5851i | 1.50845 | − | 1.09596i | ||||
\(885\) | 56.3643 | − | 12.7053i | 1.89467 | − | 0.427083i | ||||
\(886\) | −38.6890 | + | 53.2509i | −1.29978 | + | 1.78900i | ||||
\(887\) | 0.254593 | + | 0.0403236i | 0.00854840 | + | 0.00135393i | 0.160707 | − | 0.987002i | \(-0.448623\pi\) |
−0.152159 | + | 0.988356i | \(0.548623\pi\) | |||||||
\(888\) | 5.05467 | − | 31.9139i | 0.169624 | − | 1.07096i | ||||
\(889\) | 43.2404 | + | 31.4160i | 1.45024 | + | 1.05366i | ||||
\(890\) | −4.33247 | + | 10.0613i | −0.145225 | + | 0.337255i | ||||
\(891\) | −43.1332 | + | 31.3381i | −1.44502 | + | 1.04987i | ||||
\(892\) | 45.7496 | − | 23.3106i | 1.53181 | − | 0.780496i | ||||
\(893\) | −20.2283 | − | 18.5654i | −0.676914 | − | 0.621266i | ||||
\(894\) | 29.0536 | + | 9.44009i | 0.971698 | + | 0.315724i | ||||
\(895\) | 6.53618 | + | 16.4223i | 0.218480 | + | 0.548935i | ||||
\(896\) | 35.2605 | − | 11.4568i | 1.17797 | − | 0.382746i | ||||
\(897\) | 25.3508 | + | 12.9169i | 0.846439 | + | 0.431282i | ||||
\(898\) | −12.0833 | − | 76.2911i | −0.403226 | − | 2.54587i | ||||
\(899\) | − | 24.4315i | − | 0.814835i | ||||||
\(900\) | −15.4156 | − | 8.40280i | −0.513852 | − | 0.280093i | ||||
\(901\) | − | 25.0764i | − | 0.835416i | ||||||
\(902\) | −95.9767 | + | 15.2012i | −3.19567 | + | 0.506145i | ||||
\(903\) | −36.7689 | − | 18.7347i | −1.22359 | − | 0.623451i | ||||
\(904\) | 20.8896 | − | 6.78744i | 0.694778 | − | 0.225747i | ||||
\(905\) | −19.3828 | − | 4.93956i | −0.644306 | − | 0.164197i | ||||
\(906\) | −15.9407 | − | 5.17945i | −0.529594 | − | 0.172076i | ||||
\(907\) | −38.6582 | − | 38.6582i | −1.28362 | − | 1.28362i | −0.938590 | − | 0.345035i | \(-0.887867\pi\) |
−0.345035 | − | 0.938590i | \(-0.612133\pi\) | |||||||
\(908\) | −15.7031 | − | 30.8190i | −0.521125 | − | 1.02276i | ||||
\(909\) | 0.179872 | + | 0.247572i | 0.00596597 | + | 0.00821145i | ||||
\(910\) | −26.1796 | + | 29.8027i | −0.867847 | + | 0.987951i | ||||
\(911\) | 22.7073 | − | 31.2540i | 0.752328 | − | 1.03549i | −0.245486 | − | 0.969400i | \(-0.578948\pi\) |
0.997814 | − | 0.0660900i | \(-0.0210525\pi\) | |||||||
\(912\) | 15.8008 | + | 1.81297i | 0.523216 | + | 0.0600334i | ||||
\(913\) | −43.2188 | − | 6.84519i | −1.43033 | − | 0.226543i | ||||
\(914\) | 15.0477 | + | 10.9328i | 0.497735 | + | 0.361625i | ||||
\(915\) | −22.5510 | − | 37.9757i | −0.745512 | − | 1.25544i | ||||
\(916\) | 3.80588 | − | 2.76513i | 0.125750 | − | 0.0913626i | ||||
\(917\) | 7.40309 | + | 14.5294i | 0.244472 | + | 0.479802i | ||||
\(918\) | 39.3086 | + | 39.3086i | 1.29738 | + | 1.29738i | ||||
\(919\) | −23.5076 | − | 7.63809i | −0.775445 | − | 0.251957i | −0.105551 | − | 0.994414i | \(-0.533660\pi\) |
−0.669894 | + | 0.742457i | \(0.733660\pi\) | |||||||
\(920\) | −14.7501 | + | 12.2471i | −0.486298 | + | 0.403774i | ||||
\(921\) | 15.7804 | + | 48.5670i | 0.519981 | + | 1.60034i | ||||
\(922\) | −27.3350 | + | 53.6480i | −0.900232 | + | 1.76680i | ||||
\(923\) | 1.66361 | + | 10.5037i | 0.0547586 | + | 0.345732i | ||||
\(924\) | 79.2437 | 2.60693 | ||||||||
\(925\) | 44.8164 | + | 1.24727i | 1.47356 | + | 0.0410100i | ||||
\(926\) | − | 37.9280i | − | 1.24639i | ||||||
\(927\) | 1.39084 | + | 8.78139i | 0.0456810 | + | 0.288419i | ||||
\(928\) | 13.9922 | − | 27.4612i | 0.459316 | − | 0.901459i | ||||
\(929\) | −19.4697 | + | 6.32608i | −0.638779 | + | 0.207552i | −0.610460 | − | 0.792047i | \(-0.709015\pi\) |
−0.0283191 | + | 0.999599i | \(0.509015\pi\) | |||||||
\(930\) | 31.5290 | − | 49.8796i | 1.03388 | − | 1.63562i | ||||
\(931\) | −1.52616 | + | 5.48626i | −0.0500179 | + | 0.179805i | ||||
\(932\) | 38.1265 | − | 38.1265i | 1.24887 | − | 1.24887i | ||||
\(933\) | −6.51016 | − | 12.7769i | −0.213133 | − | 0.418298i | ||||
\(934\) | −37.0393 | + | 26.9106i | −1.21196 | + | 0.880542i | ||||
\(935\) | 6.93558 | − | 74.8047i | 0.226818 | − | 2.44637i | ||||
\(936\) | 4.98504 | + | 3.62184i | 0.162941 | + | 0.118384i | ||||
\(937\) | −1.78222 | + | 11.2525i | −0.0582226 | + | 0.367603i | 0.941324 | + | 0.337503i | \(0.109582\pi\) |
−0.999547 | + | 0.0300995i | \(0.990418\pi\) | |||||||
\(938\) | −61.6076 | − | 9.75769i | −2.01156 | − | 0.318600i | ||||
\(939\) | −3.86673 | − | 2.80934i | −0.126186 | − | 0.0916795i | ||||
\(940\) | −39.2348 | − | 3.63769i | −1.27970 | − | 0.118648i | ||||
\(941\) | −0.770700 | − | 1.06078i | −0.0251241 | − | 0.0345804i | 0.796270 | − | 0.604941i | \(-0.206803\pi\) |
−0.821394 | + | 0.570361i | \(0.806803\pi\) | |||||||
\(942\) | −2.28306 | − | 4.48077i | −0.0743863 | − | 0.145991i | ||||
\(943\) | −32.3154 | + | 32.3154i | −1.05234 | + | 1.05234i | ||||
\(944\) | −6.84682 | + | 21.0724i | −0.222845 | + | 0.685847i | ||||
\(945\) | −19.6069 | − | 12.3936i | −0.637813 | − | 0.403163i | ||||
\(946\) | −68.8925 | + | 22.3845i | −2.23989 | + | 0.727784i | ||||
\(947\) | 39.6660 | + | 20.2108i | 1.28897 | + | 0.656763i | 0.957970 | − | 0.286867i | \(-0.0926139\pi\) |
0.331000 | + | 0.943631i | \(0.392614\pi\) | |||||||
\(948\) | −7.65088 | − | 48.3058i | −0.248489 | − | 1.56890i | ||||
\(949\) | −9.00019 | −0.292158 | ||||||||
\(950\) | −0.716818 | − | 47.7318i | −0.0232566 | − | 1.54862i | ||||
\(951\) | 28.6953 | 0.930509 | ||||||||
\(952\) | −5.55376 | − | 35.0650i | −0.179998 | − | 1.13646i | ||||
\(953\) | −11.6528 | − | 5.93742i | −0.377473 | − | 0.192332i | 0.254952 | − | 0.966954i | \(-0.417940\pi\) |
−0.632425 | + | 0.774622i | \(0.717940\pi\) | |||||||
\(954\) | 9.29827 | − | 3.02119i | 0.301043 | − | 0.0978147i | ||||
\(955\) | −12.4676 | + | 10.3519i | −0.403442 | + | 0.334978i | ||||
\(956\) | 7.49290 | − | 23.0608i | 0.242338 | − | 0.745838i | ||||
\(957\) | 29.0703 | − | 29.0703i | 0.939709 | − | 0.939709i | ||||
\(958\) | −6.08172 | − | 11.9361i | −0.196492 | − | 0.385636i | ||||
\(959\) | −17.2342 | − | 23.7208i | −0.556521 | − | 0.765985i | ||||
\(960\) | 49.9754 | − | 29.6766i | 1.61295 | − | 0.957810i | ||||
\(961\) | 2.51912 | + | 1.83025i | 0.0812619 | + | 0.0590402i | ||||
\(962\) | −54.5139 | − | 8.63415i | −1.75760 | − | 0.278376i | ||||
\(963\) | 2.76439 | − | 17.4537i | 0.0890813 | − | 0.562437i | ||||
\(964\) | 6.41079 | + | 4.65771i | 0.206478 | + | 0.150015i | ||||
\(965\) | 12.3027 | − | 14.0053i | 0.396039 | − | 0.450848i | ||||
\(966\) | 51.7063 | − | 37.5668i | 1.66362 | − | 1.20869i | ||||
\(967\) | 0.00466409 | + | 0.00915379i | 0.000149987 | + | 0.000294366i | 0.891082 | − | 0.453843i | \(-0.149947\pi\) |
−0.890932 | + | 0.454138i | \(0.849947\pi\) | |||||||
\(968\) | 14.4535 | − | 14.4535i | 0.464552 | − | 0.464552i | ||||
\(969\) | 16.9924 | − | 61.0844i | 0.545875 | − | 1.96231i | ||||
\(970\) | −69.4309 | − | 17.6939i | −2.22929 | − | 0.568118i | ||||
\(971\) | −48.2987 | + | 15.6932i | −1.54998 | + | 0.503618i | −0.954108 | − | 0.299463i | \(-0.903193\pi\) |
−0.595870 | + | 0.803081i | \(0.703193\pi\) | |||||||
\(972\) | −15.6029 | + | 30.6224i | −0.500463 | + | 0.982214i | ||||
\(973\) | −0.829691 | − | 5.23846i | −0.0265987 | − | 0.167937i | ||||
\(974\) | 0.158941i | 0.00509280i | ||||||||
\(975\) | −13.8722 | + | 25.4496i | −0.444266 | + | 0.815039i | ||||
\(976\) | 16.9370 | 0.542139 | ||||||||
\(977\) | 2.77888 | + | 17.5452i | 0.0889043 | + | 0.561320i | 0.991425 | + | 0.130674i | \(0.0417141\pi\) |
−0.902521 | + | 0.430646i | \(0.858286\pi\) | |||||||
\(978\) | −28.0306 | + | 55.0132i | −0.896320 | + | 1.75913i | ||||
\(979\) | −3.29306 | − | 10.1350i | −0.105247 | − | 0.323916i | ||||
\(980\) | 3.02209 | + | 7.59304i | 0.0965370 | + | 0.242551i | ||||
\(981\) | −4.19427 | − | 1.36280i | −0.133913 | − | 0.0435108i | ||||
\(982\) | −0.270393 | − | 0.270393i | −0.00862860 | − | 0.00862860i | ||||
\(983\) | 6.88029 | + | 13.5033i | 0.219447 | + | 0.430689i | 0.974316 | − | 0.225187i | \(-0.0722993\pi\) |
−0.754868 | + | 0.655876i | \(0.772299\pi\) | |||||||
\(984\) | −27.1455 | + | 19.7223i | −0.865365 | + | 0.628725i | ||||
\(985\) | 16.5887 | + | 7.14322i | 0.528560 | + | 0.227602i | ||||
\(986\) | −52.2676 | − | 37.9746i | −1.66454 | − | 1.20936i | ||||
\(987\) | 36.9873 | + | 5.85822i | 1.17732 | + | 0.186469i | ||||
\(988\) | −3.90633 | + | 34.0452i | −0.124277 | + | 1.08312i | ||||
\(989\) | −20.0246 | + | 27.5615i | −0.636745 | + | 0.876404i | ||||
\(990\) | 28.5730 | − | 6.44073i | 0.908110 | − | 0.204700i | ||||
\(991\) | −14.5131 | − | 19.9756i | −0.461025 | − | 0.634546i | 0.513696 | − | 0.857972i | \(-0.328276\pi\) |
−0.974721 | + | 0.223426i | \(0.928276\pi\) | |||||||
\(992\) | 19.5374 | + | 38.3443i | 0.620313 | + | 1.21743i | ||||
\(993\) | −30.4002 | − | 30.4002i | −0.964723 | − | 0.964723i | ||||
\(994\) | 22.7196 | + | 7.38206i | 0.720623 | + | 0.234145i | ||||
\(995\) | −0.342532 | − | 5.29266i | −0.0108590 | − | 0.167789i | ||||
\(996\) | −50.4050 | + | 16.3776i | −1.59714 | + | 0.518943i | ||||
\(997\) | −33.1596 | − | 16.8956i | −1.05017 | − | 0.535091i | −0.158308 | − | 0.987390i | \(-0.550604\pi\) |
−0.891866 | + | 0.452299i | \(0.850604\pi\) | |||||||
\(998\) | −15.6381 | + | 2.47684i | −0.495017 | + | 0.0784030i | ||||
\(999\) | − | 32.2736i | − | 1.02109i |
(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 | 475.2.v.b.113.40 | yes | 368 | |
19.18 | odd | 2 | inner | 475.2.v.b.113.7 | ✓ | 368 | |
25.2 | odd | 20 | inner | 475.2.v.b.227.7 | yes | 368 | |
475.227 | even | 20 | inner | 475.2.v.b.227.40 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.v.b.113.7 | ✓ | 368 | 19.18 | odd | 2 | inner | |
475.2.v.b.113.40 | yes | 368 | 1.1 | even | 1 | trivial | |
475.2.v.b.227.7 | yes | 368 | 25.2 | odd | 20 | inner | |
475.2.v.b.227.40 | yes | 368 | 475.227 | even | 20 | inner |