Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), 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: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 179.6 | ||
Character | \(\chi\) | \(=\) | 192.179 |
Dual form | 192.2.s.a.59.6 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07887 | + | 0.914353i | −0.762876 | + | 0.646545i | ||||
\(3\) | 1.48602 | − | 0.889796i | 0.857956 | − | 0.513724i | ||||
\(4\) | 0.327916 | − | 1.97293i | 0.163958 | − | 0.986467i | ||||
\(5\) | 0.737769 | + | 3.70902i | 0.329940 | + | 1.65872i | 0.688516 | + | 0.725221i | \(0.258263\pi\) |
−0.358575 | + | 0.933501i | \(0.616737\pi\) | |||||||
\(6\) | −0.789636 | + | 2.31872i | −0.322368 | + | 0.946615i | ||||
\(7\) | −2.11735 | + | 0.877036i | −0.800284 | + | 0.331489i | −0.745070 | − | 0.666986i | \(-0.767584\pi\) |
−0.0552140 | + | 0.998475i | \(0.517584\pi\) | |||||||
\(8\) | 1.45018 | + | 2.42837i | 0.512716 | + | 0.858558i | ||||
\(9\) | 1.41653 | − | 2.64451i | 0.472176 | − | 0.881504i | ||||
\(10\) | −4.18731 | − | 3.32696i | −1.32414 | − | 1.05208i | ||||
\(11\) | −1.12300 | + | 1.68068i | −0.338596 | + | 0.506745i | −0.961222 | − | 0.275774i | \(-0.911066\pi\) |
0.622626 | + | 0.782519i | \(0.286066\pi\) | |||||||
\(12\) | −1.26822 | − | 3.22360i | −0.366103 | − | 0.930574i | ||||
\(13\) | 6.48369 | + | 1.28969i | 1.79825 | + | 0.357694i | 0.977061 | − | 0.212961i | \(-0.0683106\pi\) |
0.821190 | + | 0.570655i | \(0.193311\pi\) | |||||||
\(14\) | 1.48243 | − | 2.88222i | 0.396195 | − | 0.770305i | ||||
\(15\) | 4.39661 | + | 4.85522i | 1.13520 | + | 1.25361i | ||||
\(16\) | −3.78494 | − | 1.29391i | −0.946235 | − | 0.323479i | ||||
\(17\) | 2.20185 | − | 2.20185i | 0.534028 | − | 0.534028i | −0.387741 | − | 0.921769i | \(-0.626744\pi\) |
0.921769 | + | 0.387741i | \(0.126744\pi\) | |||||||
\(18\) | 0.889772 | + | 4.14829i | 0.209721 | + | 0.977761i | ||||
\(19\) | −1.20014 | − | 0.238723i | −0.275331 | − | 0.0547668i | 0.0554933 | − | 0.998459i | \(-0.482327\pi\) |
−0.330825 | + | 0.943692i | \(0.607327\pi\) | |||||||
\(20\) | 7.55957 | − | 0.239323i | 1.69037 | − | 0.0535143i | ||||
\(21\) | −2.36605 | + | 3.18731i | −0.516315 | + | 0.695528i | ||||
\(22\) | −0.325172 | − | 2.84005i | −0.0693269 | − | 0.605501i | ||||
\(23\) | −3.08364 | − | 1.27728i | −0.642983 | − | 0.266332i | 0.0372751 | − | 0.999305i | \(-0.488132\pi\) |
−0.680258 | + | 0.732973i | \(0.738132\pi\) | |||||||
\(24\) | 4.31575 | + | 2.31825i | 0.880949 | + | 0.473210i | ||||
\(25\) | −8.59310 | + | 3.55938i | −1.71862 | + | 0.711875i | ||||
\(26\) | −8.17427 | + | 4.53698i | −1.60311 | + | 0.889774i | ||||
\(27\) | −0.248084 | − | 5.19023i | −0.0477438 | − | 0.998860i | ||||
\(28\) | 1.03602 | + | 4.46499i | 0.195790 | + | 0.843804i | ||||
\(29\) | −2.30855 | + | 1.54252i | −0.428686 | + | 0.286439i | −0.751136 | − | 0.660148i | \(-0.770494\pi\) |
0.322450 | + | 0.946587i | \(0.395494\pi\) | |||||||
\(30\) | −9.18275 | − | 1.21809i | −1.67653 | − | 0.222392i | ||||
\(31\) | 3.90995 | 0.702248 | 0.351124 | − | 0.936329i | \(-0.385800\pi\) | ||||
0.351124 | + | 0.936329i | \(0.385800\pi\) | |||||||
\(32\) | 5.26655 | − | 2.06481i | 0.931004 | − | 0.365010i | ||||
\(33\) | −0.173334 | + | 3.49677i | −0.0301736 | + | 0.608710i | ||||
\(34\) | −0.362239 | + | 4.38878i | −0.0621236 | + | 0.752670i | ||||
\(35\) | −4.81506 | − | 7.20625i | −0.813894 | − | 1.21808i | ||||
\(36\) | −4.75295 | − | 3.66190i | −0.792158 | − | 0.610316i | ||||
\(37\) | −0.767863 | − | 3.86031i | −0.126236 | − | 0.634631i | −0.991154 | − | 0.132718i | \(-0.957630\pi\) |
0.864918 | − | 0.501913i | \(-0.167370\pi\) | |||||||
\(38\) | 1.51307 | − | 0.839802i | 0.245453 | − | 0.136234i | ||||
\(39\) | 10.7825 | − | 3.85265i | 1.72658 | − | 0.616918i | ||||
\(40\) | −7.93696 | + | 7.17032i | −1.25494 | + | 1.13373i | ||||
\(41\) | 0.850228 | − | 2.05263i | 0.132783 | − | 0.320567i | −0.843478 | − | 0.537164i | \(-0.819496\pi\) |
0.976261 | + | 0.216597i | \(0.0694957\pi\) | |||||||
\(42\) | −0.361665 | − | 5.60209i | −0.0558061 | − | 0.864422i | ||||
\(43\) | 3.77327 | − | 5.64710i | 0.575418 | − | 0.861174i | −0.423583 | − | 0.905857i | \(-0.639228\pi\) |
0.999001 | + | 0.0446831i | \(0.0142278\pi\) | |||||||
\(44\) | 2.94763 | + | 2.76672i | 0.444372 | + | 0.417099i | ||||
\(45\) | 10.8536 | + | 3.30288i | 1.61796 | + | 0.492365i | ||||
\(46\) | 4.49473 | − | 1.44151i | 0.662712 | − | 0.212539i | ||||
\(47\) | −5.22625 | − | 5.22625i | −0.762327 | − | 0.762327i | 0.214415 | − | 0.976743i | \(-0.431215\pi\) |
−0.976743 | + | 0.214415i | \(0.931215\pi\) | |||||||
\(48\) | −6.77583 | + | 1.44504i | −0.978007 | + | 0.208573i | ||||
\(49\) | −1.23576 | + | 1.23576i | −0.176537 | + | 0.176537i | ||||
\(50\) | 6.01630 | − | 11.6972i | 0.850833 | − | 1.65424i | ||||
\(51\) | 1.31280 | − | 5.23120i | 0.183829 | − | 0.732515i | ||||
\(52\) | 4.67057 | − | 12.3690i | 0.647692 | − | 1.71527i | ||||
\(53\) | −8.91966 | − | 5.95992i | −1.22521 | − | 0.818659i | −0.236961 | − | 0.971519i | \(-0.576151\pi\) |
−0.988248 | + | 0.152861i | \(0.951151\pi\) | |||||||
\(54\) | 5.01335 | + | 5.37274i | 0.682231 | + | 0.731137i | ||||
\(55\) | −7.06219 | − | 2.92526i | −0.952266 | − | 0.394441i | ||||
\(56\) | −5.20031 | − | 3.86985i | −0.694921 | − | 0.517131i | ||||
\(57\) | −1.99585 | + | 0.713133i | −0.264357 | + | 0.0944567i | ||||
\(58\) | 1.08021 | − | 3.77500i | 0.141838 | − | 0.495682i | ||||
\(59\) | 0.934849 | − | 0.185953i | 0.121707 | − | 0.0242090i | −0.133861 | − | 0.991000i | \(-0.542738\pi\) |
0.255568 | + | 0.966791i | \(0.417738\pi\) | |||||||
\(60\) | 11.0207 | − | 7.08211i | 1.42277 | − | 0.914297i | ||||
\(61\) | 6.48467 | − | 4.33292i | 0.830277 | − | 0.554773i | −0.0662291 | − | 0.997804i | \(-0.521097\pi\) |
0.896506 | + | 0.443031i | \(0.146097\pi\) | |||||||
\(62\) | −4.21832 | + | 3.57508i | −0.535728 | + | 0.454035i | ||||
\(63\) | −0.679955 | + | 6.84171i | −0.0856663 | + | 0.861975i | ||||
\(64\) | −3.79395 | + | 7.04315i | −0.474244 | + | 0.880393i | ||||
\(65\) | 24.9996i | 3.10082i | ||||||||
\(66\) | −3.01028 | − | 3.93105i | −0.370540 | − | 0.483878i | ||||
\(67\) | −3.71874 | − | 5.56549i | −0.454317 | − | 0.679933i | 0.531633 | − | 0.846975i | \(-0.321579\pi\) |
−0.985950 | + | 0.167042i | \(0.946579\pi\) | |||||||
\(68\) | −3.62209 | − | 5.06614i | −0.439243 | − | 0.614359i | ||||
\(69\) | −5.71888 | + | 0.845733i | −0.688472 | + | 0.101814i | ||||
\(70\) | 11.7839 | + | 3.37193i | 1.40844 | + | 0.403023i | ||||
\(71\) | 4.33632 | + | 10.4688i | 0.514627 | + | 1.24242i | 0.941164 | + | 0.337949i | \(0.109733\pi\) |
−0.426538 | + | 0.904470i | \(0.640267\pi\) | |||||||
\(72\) | 8.47607 | − | 0.395169i | 0.998915 | − | 0.0465711i | ||||
\(73\) | −1.32436 | + | 3.19728i | −0.155004 | + | 0.374213i | −0.982237 | − | 0.187647i | \(-0.939914\pi\) |
0.827232 | + | 0.561860i | \(0.189914\pi\) | |||||||
\(74\) | 4.35811 | + | 3.46267i | 0.506620 | + | 0.402527i | ||||
\(75\) | −9.60242 | + | 12.9354i | −1.10879 | + | 1.49365i | ||||
\(76\) | −0.864531 | + | 2.28952i | −0.0991685 | + | 0.262626i | ||||
\(77\) | 0.903760 | − | 4.54351i | 0.102993 | − | 0.517781i | ||||
\(78\) | −8.11018 | + | 14.0155i | −0.918297 | + | 1.58694i | ||||
\(79\) | −7.64787 | − | 7.64787i | −0.860452 | − | 0.860452i | 0.130938 | − | 0.991391i | \(-0.458201\pi\) |
−0.991391 | + | 0.130938i | \(0.958201\pi\) | |||||||
\(80\) | 2.00674 | − | 14.9930i | 0.224360 | − | 1.67627i | ||||
\(81\) | −4.98690 | − | 7.49205i | −0.554100 | − | 0.832450i | ||||
\(82\) | 0.959546 | + | 2.99193i | 0.105964 | + | 0.330403i | ||||
\(83\) | 1.05055 | − | 5.28147i | 0.115313 | − | 0.579716i | −0.879319 | − | 0.476234i | \(-0.842002\pi\) |
0.994631 | − | 0.103482i | \(-0.0329985\pi\) | |||||||
\(84\) | 5.51248 | + | 5.71324i | 0.601461 | + | 0.623365i | ||||
\(85\) | 9.79117 | + | 6.54225i | 1.06200 | + | 0.709607i | ||||
\(86\) | 1.09258 | + | 9.54258i | 0.117816 | + | 1.02900i | ||||
\(87\) | −2.05802 | + | 4.34635i | −0.220643 | + | 0.465978i | ||||
\(88\) | −5.70987 | − | 0.289757i | −0.608674 | − | 0.0308882i | ||||
\(89\) | −2.02577 | − | 4.89065i | −0.214732 | − | 0.518408i | 0.779407 | − | 0.626518i | \(-0.215520\pi\) |
−0.994139 | + | 0.108109i | \(0.965520\pi\) | |||||||
\(90\) | −14.7296 | + | 6.36066i | −1.55264 | + | 0.670472i | ||||
\(91\) | −14.8594 | + | 2.95571i | −1.55768 | + | 0.309842i | ||||
\(92\) | −3.53117 | + | 5.66497i | −0.368150 | + | 0.590614i | ||||
\(93\) | 5.81027 | − | 3.47906i | 0.602497 | − | 0.360761i | ||||
\(94\) | 10.4171 | + | 0.859800i | 1.07444 | + | 0.0886816i | ||||
\(95\) | − | 4.62746i | − | 0.474768i | ||||||
\(96\) | 5.98896 | − | 7.75451i | 0.611245 | − | 0.791441i | ||||
\(97\) | − | 4.05246i | − | 0.411465i | −0.978608 | − | 0.205733i | \(-0.934042\pi\) | ||
0.978608 | − | 0.205733i | \(-0.0659577\pi\) | |||||||
\(98\) | 0.203301 | − | 2.46314i | 0.0205365 | − | 0.248814i | ||||
\(99\) | 2.85383 | + | 5.35051i | 0.286821 | + | 0.537747i | ||||
\(100\) | 4.20460 | + | 18.1208i | 0.420460 | + | 1.81208i | ||||
\(101\) | 5.41425 | − | 1.07696i | 0.538738 | − | 0.107162i | 0.0817808 | − | 0.996650i | \(-0.473939\pi\) |
0.456957 | + | 0.889489i | \(0.348939\pi\) | |||||||
\(102\) | 3.36682 | + | 6.84415i | 0.333365 | + | 0.677672i | ||||
\(103\) | 5.94826 | + | 14.3604i | 0.586099 | + | 1.41497i | 0.887204 | + | 0.461377i | \(0.152645\pi\) |
−0.301105 | + | 0.953591i | \(0.597355\pi\) | |||||||
\(104\) | 6.27068 | + | 17.6151i | 0.614891 | + | 1.72730i | ||||
\(105\) | −13.5674 | − | 6.42423i | −1.32404 | − | 0.626940i | ||||
\(106\) | 15.0726 | − | 1.72574i | 1.46398 | − | 0.167619i | ||||
\(107\) | 8.93538 | + | 5.97043i | 0.863816 | + | 0.577183i | 0.906643 | − | 0.421899i | \(-0.138636\pi\) |
−0.0428270 | + | 0.999083i | \(0.513636\pi\) | |||||||
\(108\) | −10.3213 | − | 1.21251i | −0.993170 | − | 0.116674i | ||||
\(109\) | −2.01241 | + | 10.1171i | −0.192754 | + | 0.969039i | 0.756372 | + | 0.654142i | \(0.226970\pi\) |
−0.949126 | + | 0.314897i | \(0.898030\pi\) | |||||||
\(110\) | 10.2939 | − | 3.30137i | 0.981484 | − | 0.314773i | ||||
\(111\) | −4.57595 | − | 5.05327i | −0.434330 | − | 0.479635i | ||||
\(112\) | 9.14887 | − | 0.579857i | 0.864487 | − | 0.0547913i | ||||
\(113\) | 1.90478 | + | 1.90478i | 0.179186 | + | 0.179186i | 0.791001 | − | 0.611815i | \(-0.209560\pi\) |
−0.611815 | + | 0.791001i | \(0.709560\pi\) | |||||||
\(114\) | 1.50121 | − | 2.59429i | 0.140601 | − | 0.242978i | ||||
\(115\) | 2.46246 | − | 12.3796i | 0.229625 | − | 1.15440i | ||||
\(116\) | 2.28628 | + | 5.06043i | 0.212276 | + | 0.469849i | ||||
\(117\) | 12.5949 | − | 15.3193i | 1.16440 | − | 1.41627i | ||||
\(118\) | −0.838553 | + | 1.05540i | −0.0771950 | + | 0.0971576i | ||||
\(119\) | −2.73100 | + | 6.59321i | −0.250350 | + | 0.604398i | ||||
\(120\) | −5.41439 | + | 17.7175i | −0.494264 | + | 1.61738i | ||||
\(121\) | 2.64594 | + | 6.38787i | 0.240540 | + | 0.580716i | ||||
\(122\) | −3.03429 | + | 10.6039i | −0.274712 | + | 0.960035i | ||||
\(123\) | −0.562965 | − | 3.80679i | −0.0507608 | − | 0.343246i | ||||
\(124\) | 1.28214 | − | 7.71408i | 0.115139 | − | 0.692744i | ||||
\(125\) | −9.03656 | − | 13.5242i | −0.808254 | − | 1.20964i | ||||
\(126\) | −5.52216 | − | 8.00303i | −0.491953 | − | 0.712967i | ||||
\(127\) | 12.2271i | 1.08498i | 0.840062 | + | 0.542491i | \(0.182519\pi\) | ||||
−0.840062 | + | 0.542491i | \(0.817481\pi\) | |||||||
\(128\) | −2.34674 | − | 11.0676i | −0.207425 | − | 0.978251i | ||||
\(129\) | 0.582403 | − | 11.7492i | 0.0512777 | − | 1.03446i | ||||
\(130\) | −22.8584 | − | 26.9713i | −2.00482 | − | 2.36554i | ||||
\(131\) | 14.6544 | − | 9.79178i | 1.28036 | − | 0.855511i | 0.285663 | − | 0.958330i | \(-0.407786\pi\) |
0.994700 | + | 0.102819i | \(0.0327861\pi\) | |||||||
\(132\) | 6.84206 | + | 1.48862i | 0.595525 | + | 0.129568i | ||||
\(133\) | 2.75049 | − | 0.547107i | 0.238498 | − | 0.0474402i | ||||
\(134\) | 9.10086 | + | 2.60419i | 0.786195 | + | 0.224968i | ||||
\(135\) | 19.0676 | − | 4.74934i | 1.64108 | − | 0.408758i | ||||
\(136\) | 8.54000 | + | 2.15383i | 0.732299 | + | 0.184689i | ||||
\(137\) | −14.9407 | − | 6.18863i | −1.27647 | − | 0.528730i | −0.361544 | − | 0.932355i | \(-0.617750\pi\) |
−0.914925 | + | 0.403625i | \(0.867750\pi\) | |||||||
\(138\) | 5.39662 | − | 6.14151i | 0.459391 | − | 0.522800i | ||||
\(139\) | 10.0112 | + | 6.68929i | 0.849142 | + | 0.567378i | 0.902251 | − | 0.431210i | \(-0.141913\pi\) |
−0.0531096 | + | 0.998589i | \(0.516913\pi\) | |||||||
\(140\) | −15.7964 | + | 7.13675i | −1.33504 | + | 0.603166i | ||||
\(141\) | −12.4166 | − | 3.11603i | −1.04567 | − | 0.262417i | ||||
\(142\) | −14.2505 | − | 7.32954i | −1.19588 | − | 0.615081i | ||||
\(143\) | −9.44871 | + | 9.44871i | −0.790141 | + | 0.790141i | ||||
\(144\) | −8.78325 | + | 8.17646i | −0.731937 | + | 0.681372i | ||||
\(145\) | −7.42441 | − | 7.42441i | −0.616563 | − | 0.616563i | ||||
\(146\) | −1.49463 | − | 4.66037i | −0.123697 | − | 0.385695i | ||||
\(147\) | −0.736791 | + | 2.93593i | −0.0607695 | + | 0.242152i | ||||
\(148\) | −7.86793 | + | 0.249085i | −0.646740 | + | 0.0204747i | ||||
\(149\) | −6.74891 | + | 10.1005i | −0.552893 | + | 0.827462i | −0.997673 | − | 0.0681772i | \(-0.978282\pi\) |
0.444781 | + | 0.895640i | \(0.353282\pi\) | |||||||
\(150\) | −1.46779 | − | 22.7356i | −0.119844 | − | 1.85636i | ||||
\(151\) | −1.04850 | + | 2.53129i | −0.0853254 | + | 0.205994i | −0.960783 | − | 0.277301i | \(-0.910560\pi\) |
0.875458 | + | 0.483295i | \(0.160560\pi\) | |||||||
\(152\) | −1.16071 | − | 3.26058i | −0.0941463 | − | 0.264468i | ||||
\(153\) | −2.70384 | − | 8.94182i | −0.218593 | − | 0.722903i | ||||
\(154\) | 3.17933 | + | 5.72821i | 0.256198 | + | 0.461592i | ||||
\(155\) | 2.88464 | + | 14.5021i | 0.231700 | + | 1.16483i | ||||
\(156\) | −4.06529 | − | 22.5364i | −0.325483 | − | 1.80436i | ||||
\(157\) | −8.02013 | − | 12.0030i | −0.640076 | − | 0.957941i | −0.999691 | − | 0.0248406i | \(-0.992092\pi\) |
0.359616 | − | 0.933101i | \(-0.382908\pi\) | |||||||
\(158\) | 15.2439 | + | 1.25819i | 1.21274 | + | 0.100097i | ||||
\(159\) | −18.5579 | − | 0.919912i | −1.47174 | − | 0.0729537i | ||||
\(160\) | 11.5439 | + | 18.0104i | 0.912626 | + | 1.42384i | ||||
\(161\) | 7.64937 | 0.602855 | ||||||||
\(162\) | 12.2306 | + | 3.52315i | 0.960926 | + | 0.276805i | ||||
\(163\) | 2.83973 | − | 1.89745i | 0.222425 | − | 0.148619i | −0.439366 | − | 0.898308i | \(-0.644797\pi\) |
0.661791 | + | 0.749689i | \(0.269797\pi\) | |||||||
\(164\) | −3.77090 | − | 2.35054i | −0.294458 | − | 0.183546i | ||||
\(165\) | −13.0975 | + | 1.93691i | −1.01964 | + | 0.150788i | ||||
\(166\) | 3.69572 | + | 6.65858i | 0.286844 | + | 0.516806i | ||||
\(167\) | −1.54575 | + | 0.640271i | −0.119614 | + | 0.0495457i | −0.441688 | − | 0.897169i | \(-0.645620\pi\) |
0.322074 | + | 0.946715i | \(0.395620\pi\) | |||||||
\(168\) | −11.1712 | − | 1.12348i | −0.861874 | − | 0.0866781i | ||||
\(169\) | 28.3645 | + | 11.7489i | 2.18188 | + | 0.903765i | ||||
\(170\) | −16.5453 | + | 1.89436i | −1.26897 | + | 0.145291i | ||||
\(171\) | −2.33134 | + | 2.83563i | −0.178282 | + | 0.216846i | ||||
\(172\) | −9.90404 | − | 9.29619i | −0.755176 | − | 0.708828i | ||||
\(173\) | 11.0118 | + | 2.19039i | 0.837215 | + | 0.166532i | 0.595036 | − | 0.803699i | \(-0.297138\pi\) |
0.242179 | + | 0.970232i | \(0.422138\pi\) | |||||||
\(174\) | −1.75377 | − | 6.57091i | −0.132953 | − | 0.498139i | ||||
\(175\) | 15.0729 | − | 15.0729i | 1.13941 | − | 1.13941i | ||||
\(176\) | 6.42514 | − | 4.90823i | 0.484313 | − | 0.369971i | ||||
\(177\) | 1.22375 | − | 1.10816i | 0.0919824 | − | 0.0832940i | ||||
\(178\) | 6.65733 | + | 3.42410i | 0.498988 | + | 0.256647i | ||||
\(179\) | −1.79942 | − | 0.357927i | −0.134495 | − | 0.0267527i | 0.127384 | − | 0.991854i | \(-0.459342\pi\) |
−0.261879 | + | 0.965101i | \(0.584342\pi\) | |||||||
\(180\) | 10.0754 | − | 20.3304i | 0.750980 | − | 1.51534i | ||||
\(181\) | −8.04643 | + | 12.0423i | −0.598086 | + | 0.895099i | −0.999786 | − | 0.0206721i | \(-0.993419\pi\) |
0.401700 | + | 0.915771i | \(0.368419\pi\) | |||||||
\(182\) | 13.3287 | − | 16.7755i | 0.987991 | − | 1.24348i | ||||
\(183\) | 5.78096 | − | 12.2088i | 0.427341 | − | 0.902504i | ||||
\(184\) | −1.37011 | − | 9.34050i | −0.101006 | − | 0.688591i | ||||
\(185\) | 13.7514 | − | 5.69603i | 1.01103 | − | 0.418781i | ||||
\(186\) | −3.08744 | + | 9.06609i | −0.226382 | + | 0.664758i | ||||
\(187\) | 1.22794 | + | 6.17329i | 0.0897962 | + | 0.451436i | ||||
\(188\) | −12.0248 | + | 8.59728i | −0.877001 | + | 0.627021i | ||||
\(189\) | 5.07730 | + | 10.7720i | 0.369319 | + | 0.783545i | ||||
\(190\) | 4.23114 | + | 4.99243i | 0.306959 | + | 0.362189i | ||||
\(191\) | −18.6208 | −1.34735 | −0.673677 | − | 0.739026i | \(-0.735286\pi\) | ||||
−0.673677 | + | 0.739026i | \(0.735286\pi\) | |||||||
\(192\) | 0.629059 | + | 13.8421i | 0.0453984 | + | 0.998969i | ||||
\(193\) | 8.36276 | 0.601964 | 0.300982 | − | 0.953630i | \(-0.402686\pi\) | ||||
0.300982 | + | 0.953630i | \(0.402686\pi\) | |||||||
\(194\) | 3.70538 | + | 4.37207i | 0.266031 | + | 0.313897i | ||||
\(195\) | 22.2445 | + | 37.1499i | 1.59296 | + | 2.66036i | ||||
\(196\) | 2.03284 | + | 2.84329i | 0.145203 | + | 0.203092i | ||||
\(197\) | −2.84065 | − | 14.2809i | −0.202388 | − | 1.01747i | −0.939721 | − | 0.341942i | \(-0.888915\pi\) |
0.737333 | − | 0.675529i | \(-0.236085\pi\) | |||||||
\(198\) | −7.97117 | − | 3.16309i | −0.566486 | − | 0.224791i | ||||
\(199\) | 4.40886 | − | 1.82621i | 0.312536 | − | 0.129457i | −0.220902 | − | 0.975296i | \(-0.570900\pi\) |
0.533437 | + | 0.845840i | \(0.320900\pi\) | |||||||
\(200\) | −21.1050 | − | 15.7055i | −1.49235 | − | 1.11054i | ||||
\(201\) | −10.4783 | − | 4.96153i | −0.739082 | − | 0.349959i | ||||
\(202\) | −4.85654 | + | 6.11244i | −0.341705 | + | 0.430069i | ||||
\(203\) | 3.53516 | − | 5.29074i | 0.248120 | − | 0.371337i | ||||
\(204\) | −9.89033 | − | 4.30548i | −0.692462 | − | 0.301444i | ||||
\(205\) | 8.24051 | + | 1.63914i | 0.575542 | + | 0.114482i | ||||
\(206\) | −19.5478 | − | 10.0541i | −1.36196 | − | 0.700505i | ||||
\(207\) | −7.74585 | + | 6.34541i | −0.538374 | + | 0.441037i | ||||
\(208\) | −22.8716 | − | 13.2707i | −1.58586 | − | 0.920159i | ||||
\(209\) | 1.74897 | − | 1.74897i | 0.120979 | − | 0.120979i | ||||
\(210\) | 20.5114 | − | 5.47447i | 1.41542 | − | 0.377775i | ||||
\(211\) | −25.3114 | − | 5.03475i | −1.74251 | − | 0.346607i | −0.781666 | − | 0.623698i | \(-0.785630\pi\) |
−0.960844 | + | 0.277091i | \(0.910630\pi\) | |||||||
\(212\) | −14.6834 | + | 15.6435i | −1.00846 | + | 1.07440i | ||||
\(213\) | 15.7590 | + | 11.6984i | 1.07979 | + | 0.801564i | ||||
\(214\) | −15.0992 | + | 1.72878i | −1.03216 | + | 0.118177i | ||||
\(215\) | 23.7290 | + | 9.82886i | 1.61830 | + | 0.670323i | ||||
\(216\) | 12.2440 | − | 8.12920i | 0.833100 | − | 0.553122i | ||||
\(217\) | −8.27874 | + | 3.42917i | −0.561998 | + | 0.232787i | ||||
\(218\) | −7.07944 | − | 12.7550i | −0.479480 | − | 0.863880i | ||||
\(219\) | 0.876901 | + | 5.92963i | 0.0592555 | + | 0.400687i | ||||
\(220\) | −8.08715 | + | 12.9740i | −0.545235 | + | 0.874707i | ||||
\(221\) | 17.1158 | − | 11.4364i | 1.15133 | − | 0.769297i | ||||
\(222\) | 9.55732 | + | 1.26778i | 0.641445 | + | 0.0850877i | ||||
\(223\) | −8.76266 | −0.586791 | −0.293396 | − | 0.955991i | \(-0.594785\pi\) | ||||
−0.293396 | + | 0.955991i | \(0.594785\pi\) | |||||||
\(224\) | −9.34024 | + | 8.99089i | −0.624071 | + | 0.600729i | ||||
\(225\) | −2.75954 | + | 27.7665i | −0.183969 | + | 1.85110i | ||||
\(226\) | −3.79664 | − | 0.313366i | −0.252549 | − | 0.0208448i | ||||
\(227\) | 4.54940 | + | 6.80866i | 0.301954 | + | 0.451907i | 0.951156 | − | 0.308709i | \(-0.0998970\pi\) |
−0.649202 | + | 0.760616i | \(0.724897\pi\) | |||||||
\(228\) | 0.752492 | + | 4.17153i | 0.0498350 | + | 0.276267i | ||||
\(229\) | 2.10021 | + | 10.5585i | 0.138786 | + | 0.697724i | 0.986036 | + | 0.166531i | \(0.0532564\pi\) |
−0.847250 | + | 0.531194i | \(0.821744\pi\) | |||||||
\(230\) | 8.66266 | + | 15.6075i | 0.571199 | + | 1.02913i | ||||
\(231\) | −2.69979 | − | 7.55592i | −0.177633 | − | 0.497143i | ||||
\(232\) | −7.09362 | − | 3.36907i | −0.465719 | − | 0.221190i | ||||
\(233\) | 5.25319 | − | 12.6823i | 0.344148 | − | 0.830846i | −0.653140 | − | 0.757237i | \(-0.726549\pi\) |
0.997287 | − | 0.0736083i | \(-0.0234515\pi\) | |||||||
\(234\) | 0.419011 | + | 28.0437i | 0.0273916 | + | 1.83328i | ||||
\(235\) | 15.5285 | − | 23.2400i | 1.01297 | − | 1.51601i | ||||
\(236\) | −0.0603209 | − | 1.90537i | −0.00392656 | − | 0.124029i | ||||
\(237\) | −18.1699 | − | 4.55987i | −1.18026 | − | 0.296195i | ||||
\(238\) | −3.08213 | − | 9.61030i | −0.199785 | − | 0.622943i | ||||
\(239\) | 14.4336 | + | 14.4336i | 0.933632 | + | 0.933632i | 0.997931 | − | 0.0642985i | \(-0.0204810\pi\) |
−0.0642985 | + | 0.997931i | \(0.520481\pi\) | |||||||
\(240\) | −10.3587 | − | 24.0656i | −0.668649 | − | 1.55342i | ||||
\(241\) | −1.53120 | + | 1.53120i | −0.0986335 | + | 0.0986335i | −0.754702 | − | 0.656068i | \(-0.772218\pi\) |
0.656068 | + | 0.754702i | \(0.272218\pi\) | |||||||
\(242\) | −8.69540 | − | 4.47235i | −0.558961 | − | 0.287494i | ||||
\(243\) | −14.0770 | − | 6.69604i | −0.903043 | − | 0.429551i | ||||
\(244\) | −6.42214 | − | 14.2147i | −0.411135 | − | 0.910001i | ||||
\(245\) | −5.49514 | − | 3.67174i | −0.351072 | − | 0.234579i | ||||
\(246\) | 4.08811 | + | 3.59227i | 0.260648 | + | 0.229035i | ||||
\(247\) | −7.47346 | − | 3.09561i | −0.475525 | − | 0.196969i | ||||
\(248\) | 5.67013 | + | 9.49480i | 0.360054 | + | 0.602920i | ||||
\(249\) | −3.13829 | − | 8.78315i | −0.198881 | − | 0.556610i | ||||
\(250\) | 22.1151 | + | 6.32820i | 1.39868 | + | 0.400230i | ||||
\(251\) | −13.0147 | + | 2.58878i | −0.821478 | + | 0.163402i | −0.587898 | − | 0.808935i | \(-0.700044\pi\) |
−0.233581 | + | 0.972337i | \(0.575044\pi\) | |||||||
\(252\) | 13.2753 | + | 3.58502i | 0.836264 | + | 0.225835i | ||||
\(253\) | 5.60962 | − | 3.74823i | 0.352674 | − | 0.235649i | ||||
\(254\) | −11.1799 | − | 13.1915i | −0.701490 | − | 0.827706i | ||||
\(255\) | 20.3712 | + | 1.00979i | 1.27569 | + | 0.0632357i | ||||
\(256\) | 12.6516 | + | 9.79479i | 0.790723 | + | 0.612174i | ||||
\(257\) | − | 15.8439i | − | 0.988317i | −0.869372 | − | 0.494159i | \(-0.835476\pi\) | ||
0.869372 | − | 0.494159i | \(-0.164524\pi\) | |||||||
\(258\) | 10.1145 | + | 13.2083i | 0.629704 | + | 0.822314i | ||||
\(259\) | 5.01147 | + | 7.50019i | 0.311398 | + | 0.466039i | ||||
\(260\) | 49.3225 | + | 8.19777i | 3.05885 | + | 0.508404i | ||||
\(261\) | 0.809098 | + | 8.29000i | 0.0500819 | + | 0.513138i | ||||
\(262\) | −6.85707 | + | 23.9634i | −0.423631 | + | 1.48046i | ||||
\(263\) | −5.63185 | − | 13.5965i | −0.347275 | − | 0.838395i | −0.996940 | − | 0.0781746i | \(-0.975091\pi\) |
0.649665 | − | 0.760221i | \(-0.274909\pi\) | |||||||
\(264\) | −8.74282 | + | 4.65003i | −0.538083 | + | 0.286189i | ||||
\(265\) | 15.5248 | − | 37.4802i | 0.953681 | − | 2.30239i | ||||
\(266\) | −2.46717 | + | 3.10518i | −0.151272 | + | 0.190391i | ||||
\(267\) | −7.36203 | − | 5.46510i | −0.450549 | − | 0.334458i | ||||
\(268\) | −12.1998 | + | 5.51182i | −0.745221 | + | 0.336688i | ||||
\(269\) | −1.19156 | + | 5.99038i | −0.0726507 | + | 0.365240i | −0.999959 | − | 0.00905875i | \(-0.997116\pi\) |
0.927308 | + | 0.374299i | \(0.122116\pi\) | |||||||
\(270\) | −16.2289 | + | 22.5584i | −0.987658 | + | 1.37286i | ||||
\(271\) | −3.55699 | − | 3.55699i | −0.216072 | − | 0.216072i | 0.590769 | − | 0.806841i | \(-0.298825\pi\) |
−0.806841 | + | 0.590769i | \(0.798825\pi\) | |||||||
\(272\) | −11.1829 | + | 5.48488i | −0.678063 | + | 0.332569i | ||||
\(273\) | −19.4514 | + | 17.6140i | −1.17725 | + | 1.06605i | ||||
\(274\) | 21.7776 | − | 6.98433i | 1.31563 | − | 0.421939i | ||||
\(275\) | 3.66783 | − | 18.4394i | 0.221179 | − | 1.11194i | ||||
\(276\) | −0.206737 | + | 11.5603i | −0.0124441 | + | 0.695848i | ||||
\(277\) | −15.0737 | − | 10.0719i | −0.905693 | − | 0.605164i | 0.0130961 | − | 0.999914i | \(-0.495831\pi\) |
−0.918789 | + | 0.394750i | \(0.870831\pi\) | |||||||
\(278\) | −16.9172 | + | 1.93693i | −1.01463 | + | 0.116170i | ||||
\(279\) | 5.53855 | − | 10.3399i | 0.331584 | − | 0.619034i | ||||
\(280\) | 10.5167 | − | 22.1431i | 0.628494 | − | 1.32330i | ||||
\(281\) | 10.1039 | + | 24.3930i | 0.602748 | + | 1.45516i | 0.870741 | + | 0.491741i | \(0.163639\pi\) |
−0.267994 | + | 0.963421i | \(0.586361\pi\) | |||||||
\(282\) | 16.2451 | − | 7.99139i | 0.967380 | − | 0.475880i | ||||
\(283\) | −3.64050 | + | 0.724141i | −0.216406 | + | 0.0430457i | −0.302102 | − | 0.953276i | \(-0.597688\pi\) |
0.0856967 | + | 0.996321i | \(0.472688\pi\) | |||||||
\(284\) | 22.0762 | − | 5.12239i | 1.30998 | − | 0.303958i | ||||
\(285\) | −4.11750 | − | 6.87652i | −0.243900 | − | 0.407330i | ||||
\(286\) | 1.55446 | − | 18.8334i | 0.0919172 | − | 1.11364i | ||||
\(287\) | 5.09183i | 0.300561i | ||||||||
\(288\) | 1.99980 | − | 16.8523i | 0.117839 | − | 0.993033i | ||||
\(289\) | 7.30368i | 0.429628i | ||||||||
\(290\) | 14.7985 | + | 1.22143i | 0.868997 | + | 0.0717249i | ||||
\(291\) | −3.60586 | − | 6.02205i | −0.211379 | − | 0.353019i | ||||
\(292\) | 5.87374 | + | 3.66131i | 0.343735 | + | 0.214262i | ||||
\(293\) | −13.6935 | + | 2.72381i | −0.799985 | + | 0.159127i | −0.578121 | − | 0.815951i | \(-0.696214\pi\) |
−0.221864 | + | 0.975078i | \(0.571214\pi\) | |||||||
\(294\) | −1.88958 | − | 3.84117i | −0.110202 | − | 0.224022i | ||||
\(295\) | 1.37941 | + | 3.33018i | 0.0803121 | + | 0.193891i | ||||
\(296\) | 8.26071 | − | 7.46280i | 0.480144 | − | 0.433766i | ||||
\(297\) | 9.00172 | + | 5.41166i | 0.522333 | + | 0.314016i | ||||
\(298\) | −1.95420 | − | 17.0680i | −0.113204 | − | 0.988721i | ||||
\(299\) | −18.3460 | − | 12.2584i | −1.06098 | − | 0.708923i | ||||
\(300\) | 22.3719 | + | 23.1867i | 1.29164 | + | 1.33868i | ||||
\(301\) | −3.03663 | + | 15.2662i | −0.175029 | + | 0.879929i | ||||
\(302\) | −1.18331 | − | 3.68963i | −0.0680916 | − | 0.212314i | ||||
\(303\) | 7.08742 | − | 6.41796i | 0.407162 | − | 0.368702i | ||||
\(304\) | 4.23358 | + | 2.45643i | 0.242812 | + | 0.140886i | ||||
\(305\) | 20.8551 | + | 20.8551i | 1.19416 | + | 1.19416i | ||||
\(306\) | 11.0931 | + | 7.17478i | 0.634149 | + | 0.410155i | ||||
\(307\) | −4.26715 | + | 21.4524i | −0.243539 | + | 1.22435i | 0.644506 | + | 0.764599i | \(0.277063\pi\) |
−0.888046 | + | 0.459755i | \(0.847937\pi\) | |||||||
\(308\) | −8.66769 | − | 3.27295i | −0.493887 | − | 0.186494i | ||||
\(309\) | 21.6170 | + | 16.0471i | 1.22975 | + | 0.912887i | ||||
\(310\) | −16.3722 | − | 13.0082i | −0.929876 | − | 0.738819i | ||||
\(311\) | −1.68904 | + | 4.07770i | −0.0957766 | + | 0.231225i | −0.964506 | − | 0.264063i | \(-0.914937\pi\) |
0.868729 | + | 0.495288i | \(0.164937\pi\) | |||||||
\(312\) | 24.9922 | + | 20.5968i | 1.41490 | + | 1.16606i | ||||
\(313\) | 3.98940 | + | 9.63127i | 0.225494 | + | 0.544391i | 0.995619 | − | 0.0935019i | \(-0.0298061\pi\) |
−0.770125 | + | 0.637893i | \(0.779806\pi\) | |||||||
\(314\) | 19.6276 | + | 5.61640i | 1.10765 | + | 0.316952i | ||||
\(315\) | −25.8777 | + | 2.52564i | −1.45804 | + | 0.142304i | ||||
\(316\) | −17.5966 | + | 12.5809i | −0.989886 | + | 0.707730i | ||||
\(317\) | 1.00260 | + | 1.50050i | 0.0563119 | + | 0.0842767i | 0.858557 | − | 0.512718i | \(-0.171361\pi\) |
−0.802245 | + | 0.596995i | \(0.796361\pi\) | |||||||
\(318\) | 20.8627 | − | 15.9760i | 1.16992 | − | 0.895892i | ||||
\(319\) | − | 5.61218i | − | 0.314222i | ||||||
\(320\) | −28.9222 | − | 8.87562i | −1.61680 | − | 0.496162i | ||||
\(321\) | 18.5906 | + | 0.921533i | 1.03763 | + | 0.0514350i | ||||
\(322\) | −8.25267 | + | 6.99423i | −0.459903 | + | 0.389773i | ||||
\(323\) | −3.16817 | + | 2.11690i | −0.176282 | + | 0.117788i | ||||
\(324\) | −16.4166 | + | 7.38206i | −0.912034 | + | 0.410114i | ||||
\(325\) | −60.3054 | + | 11.9955i | −3.34514 | + | 0.665390i | ||||
\(326\) | −1.32876 | + | 4.64361i | −0.0735932 | + | 0.257186i | ||||
\(327\) | 6.01163 | + | 16.8248i | 0.332444 | + | 0.930414i | ||||
\(328\) | 6.21753 | − | 0.912019i | 0.343306 | − | 0.0503578i | ||||
\(329\) | 15.6494 | + | 6.48221i | 0.862781 | + | 0.357376i | ||||
\(330\) | 12.3594 | − | 14.0654i | 0.680364 | − | 0.774273i | ||||
\(331\) | 21.4745 | + | 14.3488i | 1.18035 | + | 0.788683i | 0.981521 | − | 0.191352i | \(-0.0612873\pi\) |
0.198825 | + | 0.980035i | \(0.436287\pi\) | |||||||
\(332\) | −10.0755 | − | 3.80454i | −0.552965 | − | 0.208801i | ||||
\(333\) | −11.2963 | − | 3.43761i | −0.619035 | − | 0.188380i | ||||
\(334\) | 1.08223 | − | 2.10413i | 0.0592169 | − | 0.115133i | ||||
\(335\) | 17.8989 | − | 17.8989i | 0.977923 | − | 0.977923i | ||||
\(336\) | 13.0795 | − | 9.00230i | 0.713544 | − | 0.491116i | ||||
\(337\) | −12.1611 | − | 12.1611i | −0.662457 | − | 0.662457i | 0.293502 | − | 0.955959i | \(-0.405179\pi\) |
−0.955959 | + | 0.293502i | \(0.905179\pi\) | |||||||
\(338\) | −41.3442 | + | 13.2596i | −2.24883 | + | 0.721225i | ||||
\(339\) | 4.52540 | + | 1.13568i | 0.245786 | + | 0.0616816i | ||||
\(340\) | 16.1181 | − | 17.1720i | 0.874127 | − | 0.931284i | ||||
\(341\) | −4.39086 | + | 6.57139i | −0.237778 | + | 0.355860i | ||||
\(342\) | −0.0775597 | − | 5.19094i | −0.00419395 | − | 0.280694i | ||||
\(343\) | 7.67198 | − | 18.5218i | 0.414248 | − | 1.00008i | ||||
\(344\) | 19.1852 | + | 0.973582i | 1.03439 | + | 0.0524920i | ||||
\(345\) | −7.35605 | − | 20.5874i | −0.396036 | − | 1.10839i | ||||
\(346\) | −13.8831 | + | 7.70557i | −0.746361 | + | 0.414254i | ||||
\(347\) | 0.490474 | + | 2.46578i | 0.0263300 | + | 0.132370i | 0.991715 | − | 0.128461i | \(-0.0410036\pi\) |
−0.965385 | + | 0.260831i | \(0.916004\pi\) | |||||||
\(348\) | 7.90021 | + | 5.48559i | 0.423496 | + | 0.294058i | ||||
\(349\) | −13.0828 | − | 19.5797i | −0.700304 | − | 1.04808i | −0.995694 | − | 0.0927021i | \(-0.970450\pi\) |
0.295390 | − | 0.955377i | \(-0.404550\pi\) | |||||||
\(350\) | −2.47973 | + | 30.0437i | −0.132547 | + | 1.60590i | ||||
\(351\) | 5.08526 | − | 33.9717i | 0.271431 | − | 1.81328i | ||||
\(352\) | −2.44403 | + | 11.1702i | −0.130267 | + | 0.595372i | ||||
\(353\) | −1.54964 | −0.0824790 | −0.0412395 | − | 0.999149i | \(-0.513131\pi\) | ||||
−0.0412395 | + | 0.999149i | \(0.513131\pi\) | |||||||
\(354\) | −0.307017 | + | 2.31449i | −0.0163178 | + | 0.123014i | ||||
\(355\) | −35.6298 | + | 23.8070i | −1.89103 | + | 1.26355i | ||||
\(356\) | −10.3132 | + | 2.39300i | −0.546600 | + | 0.126829i | ||||
\(357\) | 1.80828 | + | 12.2277i | 0.0957046 | + | 0.647158i | ||||
\(358\) | 2.26861 | − | 1.25915i | 0.119900 | − | 0.0665481i | ||||
\(359\) | −9.71202 | + | 4.02285i | −0.512581 | + | 0.212318i | −0.623954 | − | 0.781461i | \(-0.714475\pi\) |
0.111374 | + | 0.993779i | \(0.464475\pi\) | |||||||
\(360\) | 7.71907 | + | 31.1463i | 0.406831 | + | 1.64156i | ||||
\(361\) | −16.1704 | − | 6.69798i | −0.851072 | − | 0.352525i | ||||
\(362\) | −2.32990 | − | 20.3494i | −0.122457 | − | 1.06954i | ||||
\(363\) | 9.61583 | + | 7.13818i | 0.504700 | + | 0.374657i | ||||
\(364\) | 0.958796 | + | 30.2858i | 0.0502546 | + | 1.58740i | ||||
\(365\) | −12.8358 | − | 2.55320i | −0.671858 | − | 0.133641i | ||||
\(366\) | 4.92631 | + | 18.4576i | 0.257502 | + | 0.964793i | ||||
\(367\) | 2.15576 | − | 2.15576i | 0.112530 | − | 0.112530i | −0.648600 | − | 0.761130i | \(-0.724645\pi\) |
0.761130 | + | 0.648600i | \(0.224645\pi\) | |||||||
\(368\) | 10.0187 | + | 8.82441i | 0.522260 | + | 0.460004i | ||||
\(369\) | −4.22384 | − | 5.15605i | −0.219884 | − | 0.268413i | ||||
\(370\) | −9.62781 | + | 18.7189i | −0.500526 | + | 0.973152i | ||||
\(371\) | 24.1131 | + | 4.79640i | 1.25189 | + | 0.249017i | ||||
\(372\) | −4.95867 | − | 12.6041i | −0.257095 | − | 0.653494i | ||||
\(373\) | 9.45937 | − | 14.1570i | 0.489788 | − | 0.733019i | −0.501439 | − | 0.865193i | \(-0.667196\pi\) |
0.991227 | + | 0.132174i | \(0.0421957\pi\) | |||||||
\(374\) | −6.96936 | − | 5.53740i | −0.360377 | − | 0.286332i | ||||
\(375\) | −25.4623 | − | 12.0565i | −1.31487 | − | 0.622597i | ||||
\(376\) | 5.11226 | − | 20.2703i | 0.263645 | − | 1.04536i | ||||
\(377\) | −16.9572 | + | 7.02392i | −0.873343 | + | 0.361750i | ||||
\(378\) | −15.3271 | − | 6.97909i | −0.788342 | − | 0.358966i | ||||
\(379\) | 2.04823 | + | 10.2971i | 0.105210 | + | 0.528929i | 0.997062 | + | 0.0766002i | \(0.0244065\pi\) |
−0.891851 | + | 0.452328i | \(0.850593\pi\) | |||||||
\(380\) | −9.12969 | − | 1.51742i | −0.468343 | − | 0.0778421i | ||||
\(381\) | 10.8796 | + | 18.1698i | 0.557381 | + | 0.930866i | ||||
\(382\) | 20.0894 | − | 17.0260i | 1.02786 | − | 0.871125i | ||||
\(383\) | −26.6566 | −1.36209 | −0.681045 | − | 0.732242i | \(-0.738474\pi\) | ||||
−0.681045 | + | 0.732242i | \(0.738474\pi\) | |||||||
\(384\) | −13.3353 | − | 14.3587i | −0.680512 | − | 0.732737i | ||||
\(385\) | 17.5187 | 0.892836 | ||||||||
\(386\) | −9.02232 | + | 7.64651i | −0.459224 | + | 0.389197i | ||||
\(387\) | −9.58888 | − | 17.9777i | −0.487430 | − | 0.913859i | ||||
\(388\) | −7.99524 | − | 1.32887i | −0.405897 | − | 0.0674631i | ||||
\(389\) | 0.609624 | + | 3.06479i | 0.0309091 | + | 0.155391i | 0.993158 | − | 0.116782i | \(-0.0372578\pi\) |
−0.962248 | + | 0.272173i | \(0.912258\pi\) | |||||||
\(390\) | −57.9671 | − | 19.7406i | −2.93528 | − | 0.999603i | ||||
\(391\) | −9.60211 | + | 3.97732i | −0.485600 | + | 0.201142i | ||||
\(392\) | −4.79294 | − | 1.20880i | −0.242080 | − | 0.0610538i | ||||
\(393\) | 13.0641 | − | 27.5902i | 0.658998 | − | 1.39174i | ||||
\(394\) | 16.1225 | + | 12.8099i | 0.812238 | + | 0.645351i | ||||
\(395\) | 22.7237 | − | 34.0084i | 1.14335 | − | 1.71115i | ||||
\(396\) | 11.4920 | − | 3.87590i | 0.577496 | − | 0.194772i | ||||
\(397\) | 13.0490 | + | 2.59560i | 0.654910 | + | 0.130270i | 0.511351 | − | 0.859372i | \(-0.329145\pi\) |
0.143559 | + | 0.989642i | \(0.454145\pi\) | |||||||
\(398\) | −3.08678 | + | 6.00150i | −0.154726 | + | 0.300828i | ||||
\(399\) | 3.60048 | − | 3.26039i | 0.180249 | − | 0.163224i | ||||
\(400\) | 37.1299 | − | 2.35330i | 1.85649 | − | 0.117665i | ||||
\(401\) | −2.74635 | + | 2.74635i | −0.137146 | + | 0.137146i | −0.772347 | − | 0.635201i | \(-0.780917\pi\) |
0.635201 | + | 0.772347i | \(0.280917\pi\) | |||||||
\(402\) | 15.8413 | − | 4.22802i | 0.790092 | − | 0.210874i | ||||
\(403\) | 25.3509 | + | 5.04260i | 1.26282 | + | 0.251190i | ||||
\(404\) | −0.349353 | − | 11.0351i | −0.0173810 | − | 0.549017i | ||||
\(405\) | 24.1090 | − | 24.0239i | 1.19798 | − | 1.19376i | ||||
\(406\) | 1.02363 | + | 8.94040i | 0.0508020 | + | 0.443705i | ||||
\(407\) | 7.35026 | + | 3.04458i | 0.364339 | + | 0.150914i | ||||
\(408\) | 14.6071 | − | 4.39821i | 0.723159 | − | 0.217744i | ||||
\(409\) | −7.96420 | + | 3.29888i | −0.393804 | + | 0.163119i | −0.570793 | − | 0.821094i | \(-0.693364\pi\) |
0.176989 | + | 0.984213i | \(0.443364\pi\) | |||||||
\(410\) | −10.3892 | + | 5.76632i | −0.513085 | + | 0.284778i | ||||
\(411\) | −27.7088 | + | 4.09770i | −1.36677 | + | 0.202125i | ||||
\(412\) | 30.2826 | − | 7.02652i | 1.49192 | − | 0.346172i | ||||
\(413\) | −1.81632 | + | 1.21362i | −0.0893752 | + | 0.0597186i | ||||
\(414\) | 2.55481 | − | 13.9283i | 0.125562 | − | 0.684539i | ||||
\(415\) | 20.3641 | 0.999635 | ||||||||
\(416\) | 36.8096 | − | 6.59538i | 1.80474 | − | 0.323365i | ||||
\(417\) | 20.8290 | + | 1.03249i | 1.02000 | + | 0.0505612i | ||||
\(418\) | −0.287733 | + | 3.48609i | −0.0140735 | + | 0.170510i | ||||
\(419\) | 2.44878 | + | 3.66486i | 0.119631 | + | 0.179040i | 0.886452 | − | 0.462821i | \(-0.153163\pi\) |
−0.766821 | + | 0.641861i | \(0.778163\pi\) | |||||||
\(420\) | −17.1235 | + | 24.6609i | −0.835543 | + | 1.20333i | ||||
\(421\) | −7.85512 | − | 39.4903i | −0.382835 | − | 1.92464i | −0.380833 | − | 0.924644i | \(-0.624363\pi\) |
−0.00200165 | − | 0.999998i | \(-0.500637\pi\) | |||||||
\(422\) | 31.9112 | − | 17.7117i | 1.55341 | − | 0.862194i | ||||
\(423\) | −21.2240 | + | 6.41776i | −1.03195 | + | 0.312042i | ||||
\(424\) | 1.53778 | − | 30.3032i | 0.0746814 | − | 1.47165i | ||||
\(425\) | −11.0835 | + | 26.7580i | −0.537629 | + | 1.29795i | ||||
\(426\) | −27.6984 | + | 1.78818i | −1.34199 | + | 0.0866375i | ||||
\(427\) | −9.93021 | + | 14.8616i | −0.480557 | + | 0.719204i | ||||
\(428\) | 14.7093 | − | 15.6711i | 0.711002 | − | 0.757492i | ||||
\(429\) | −5.63358 | + | 22.4484i | −0.271992 | + | 1.08382i | ||||
\(430\) | −34.5875 | + | 11.0926i | −1.66796 | + | 0.534933i | ||||
\(431\) | −16.0961 | − | 16.0961i | −0.775322 | − | 0.775322i | 0.203709 | − | 0.979031i | \(-0.434700\pi\) |
−0.979031 | + | 0.203709i | \(0.934700\pi\) | |||||||
\(432\) | −5.77673 | + | 19.9657i | −0.277933 | + | 0.960600i | ||||
\(433\) | 9.20366 | − | 9.20366i | 0.442300 | − | 0.442300i | −0.450484 | − | 0.892784i | \(-0.648749\pi\) |
0.892784 | + | 0.450484i | \(0.148749\pi\) | |||||||
\(434\) | 5.79621 | − | 11.2693i | 0.278227 | − | 0.540945i | ||||
\(435\) | −17.6390 | − | 4.42663i | −0.845727 | − | 0.212241i | ||||
\(436\) | 19.3004 | + | 7.28790i | 0.924321 | + | 0.349027i | ||||
\(437\) | 3.39588 | + | 2.26906i | 0.162447 | + | 0.108544i | ||||
\(438\) | −6.36784 | − | 5.59550i | −0.304267 | − | 0.267363i | ||||
\(439\) | −24.8403 | − | 10.2892i | −1.18556 | − | 0.491077i | −0.299256 | − | 0.954173i | \(-0.596739\pi\) |
−0.886308 | + | 0.463096i | \(0.846739\pi\) | |||||||
\(440\) | −3.13785 | − | 21.3918i | −0.149591 | − | 1.01981i | ||||
\(441\) | 1.51749 | + | 5.01846i | 0.0722615 | + | 0.238974i | ||||
\(442\) | −8.00880 | + | 27.9883i | −0.380940 | + | 1.33127i | ||||
\(443\) | 32.4184 | − | 6.44841i | 1.54024 | − | 0.306373i | 0.649316 | − | 0.760519i | \(-0.275055\pi\) |
0.890927 | + | 0.454146i | \(0.150055\pi\) | |||||||
\(444\) | −11.4703 | + | 7.37100i | −0.544356 | + | 0.349812i | ||||
\(445\) | 16.6450 | − | 11.1218i | 0.789046 | − | 0.527224i | ||||
\(446\) | 9.45376 | − | 8.01217i | 0.447649 | − | 0.379387i | ||||
\(447\) | −1.04169 | + | 21.0147i | −0.0492703 | + | 0.993960i | ||||
\(448\) | 1.85604 | − | 18.2403i | 0.0876898 | − | 0.861771i | ||||
\(449\) | − | 23.5262i | − | 1.11027i | −0.831760 | − | 0.555135i | \(-0.812667\pi\) | ||
0.831760 | − | 0.555135i | \(-0.187333\pi\) | |||||||
\(450\) | −22.4112 | − | 32.4796i | −1.05647 | − | 1.53110i | ||||
\(451\) | 2.49502 | + | 3.73406i | 0.117486 | + | 0.175830i | ||||
\(452\) | 4.38261 | − | 3.13339i | 0.206140 | − | 0.147382i | ||||
\(453\) | 0.694245 | + | 4.69451i | 0.0326185 | + | 0.220567i | ||||
\(454\) | −11.1337 | − | 3.18589i | −0.522532 | − | 0.149521i | ||||
\(455\) | −21.9255 | − | 52.9329i | −1.02789 | − | 2.48153i | ||||
\(456\) | −4.62609 | − | 3.81249i | −0.216637 | − | 0.178536i | ||||
\(457\) | −14.5342 | + | 35.0886i | −0.679881 | + | 1.64138i | 0.0843513 | + | 0.996436i | \(0.473118\pi\) |
−0.764232 | + | 0.644941i | \(0.776882\pi\) | |||||||
\(458\) | −11.9200 | − | 9.47089i | −0.556987 | − | 0.442545i | ||||
\(459\) | −11.9744 | − | 10.8819i | −0.558915 | − | 0.507922i | ||||
\(460\) | −23.6167 | − | 8.91774i | −1.10113 | − | 0.415792i | ||||
\(461\) | −5.57077 | + | 28.0062i | −0.259457 | + | 1.30438i | 0.602795 | + | 0.797896i | \(0.294054\pi\) |
−0.862251 | + | 0.506481i | \(0.830946\pi\) | |||||||
\(462\) | 9.82149 | + | 5.68329i | 0.456937 | + | 0.264410i | ||||
\(463\) | −17.0250 | − | 17.0250i | −0.791220 | − | 0.791220i | 0.190472 | − | 0.981693i | \(-0.438998\pi\) |
−0.981693 | + | 0.190472i | \(0.938998\pi\) | |||||||
\(464\) | 10.7336 | − | 2.85129i | 0.498295 | − | 0.132368i | ||||
\(465\) | 17.1905 | + | 18.9837i | 0.797191 | + | 0.880346i | ||||
\(466\) | 5.92861 | + | 18.4858i | 0.274638 | + | 0.856339i | ||||
\(467\) | −2.89864 | + | 14.5725i | −0.134133 | + | 0.674333i | 0.853943 | + | 0.520367i | \(0.174205\pi\) |
−0.988076 | + | 0.153966i | \(0.950795\pi\) | |||||||
\(468\) | −26.0939 | − | 29.8724i | −1.20619 | − | 1.38085i | ||||
\(469\) | 12.7550 | + | 8.52264i | 0.588973 | + | 0.393539i | ||||
\(470\) | 4.49639 | + | 39.2714i | 0.207403 | + | 1.81146i | ||||
\(471\) | −22.5983 | − | 10.7004i | −1.04127 | − | 0.493049i | ||||
\(472\) | 1.80726 | + | 2.00049i | 0.0831860 | + | 0.0920802i | ||||
\(473\) | 5.25361 | + | 12.6833i | 0.241561 | + | 0.583181i | ||||
\(474\) | 23.7723 | − | 11.6942i | 1.09190 | − | 0.537135i | ||||
\(475\) | 11.1626 | − | 2.22039i | 0.512177 | − | 0.101878i | ||||
\(476\) | 12.1124 | + | 7.55010i | 0.555172 | + | 0.346058i | ||||
\(477\) | −28.3960 | + | 15.1458i | −1.30017 | + | 0.693476i | ||||
\(478\) | −28.7694 | − | 2.37455i | −1.31588 | − | 0.108610i | ||||
\(479\) | 42.7458i | 1.95310i | 0.215283 | + | 0.976552i | \(0.430932\pi\) | ||||
−0.215283 | + | 0.976552i | \(0.569068\pi\) | |||||||
\(480\) | 33.1801 | + | 16.4921i | 1.51446 | + | 0.752758i | ||||
\(481\) | − | 26.0193i | − | 1.18638i | ||||||
\(482\) | 0.251907 | − | 3.05203i | 0.0114740 | − | 0.139016i | ||||
\(483\) | 11.3671 | − | 6.80638i | 0.517223 | − | 0.309701i | ||||
\(484\) | 13.4705 | − | 3.12559i | 0.612296 | − | 0.142072i | ||||
\(485\) | 15.0306 | − | 2.98978i | 0.682506 | − | 0.135759i | ||||
\(486\) | 21.3098 | − | 5.64724i | 0.966633 | − | 0.256164i | ||||
\(487\) | 6.96394 | + | 16.8124i | 0.315566 | + | 0.761845i | 0.999479 | + | 0.0322807i | \(0.0102770\pi\) |
−0.683912 | + | 0.729564i | \(0.739723\pi\) | |||||||
\(488\) | 19.9259 | + | 9.46366i | 0.902002 | + | 0.428400i | ||||
\(489\) | 2.53156 | − | 5.34643i | 0.114481 | − | 0.241774i | ||||
\(490\) | 9.28580 | − | 1.06318i | 0.419490 | − | 0.0480295i | ||||
\(491\) | −13.0521 | − | 8.72115i | −0.589034 | − | 0.393580i | 0.225033 | − | 0.974351i | \(-0.427751\pi\) |
−0.814067 | + | 0.580771i | \(0.802751\pi\) | |||||||
\(492\) | −7.69514 | − | 0.137615i | −0.346924 | − | 0.00620417i | ||||
\(493\) | −1.68667 | + | 8.47948i | −0.0759640 | + | 0.381897i | ||||
\(494\) | 10.8934 | − | 3.49363i | 0.490116 | − | 0.157186i | ||||
\(495\) | −17.7397 | + | 14.5324i | −0.797339 | + | 0.653181i | ||||
\(496\) | −14.7989 | − | 5.05914i | −0.664492 | − | 0.227162i | ||||
\(497\) | −18.3631 | − | 18.3631i | −0.823695 | − | 0.823695i | ||||
\(498\) | 11.4167 | + | 6.60637i | 0.511595 | + | 0.296039i | ||||
\(499\) | 7.74979 | − | 38.9608i | 0.346928 | − | 1.74413i | −0.275364 | − | 0.961340i | \(-0.588798\pi\) |
0.622292 | − | 0.782785i | \(-0.286202\pi\) | |||||||
\(500\) | −29.6455 | + | 13.3937i | −1.32579 | + | 0.598987i | ||||
\(501\) | −1.72731 | + | 2.32686i | −0.0771706 | + | 0.103956i | ||||
\(502\) | 11.6741 | − | 14.6930i | 0.521039 | − | 0.655778i | ||||
\(503\) | 0.559861 | − | 1.35162i | 0.0249630 | − | 0.0602659i | −0.910907 | − | 0.412613i | \(-0.864616\pi\) |
0.935869 | + | 0.352347i | \(0.114616\pi\) | |||||||
\(504\) | −17.6003 | + | 8.27054i | −0.783978 | + | 0.368399i | ||||
\(505\) | 7.98893 | + | 19.2870i | 0.355503 | + | 0.858260i | ||||
\(506\) | −2.62484 | + | 9.17303i | −0.116688 | + | 0.407791i | ||||
\(507\) | 52.6044 | − | 7.77937i | 2.33624 | − | 0.345494i | ||||
\(508\) | 24.1233 | + | 4.00947i | 1.07030 | + | 0.177892i | ||||
\(509\) | 0.977492 | + | 1.46292i | 0.0433266 | + | 0.0648428i | 0.852501 | − | 0.522726i | \(-0.175085\pi\) |
−0.809174 | + | 0.587569i | \(0.800085\pi\) | |||||||
\(510\) | −22.9011 | + | 17.5370i | −1.01408 | + | 0.776552i | ||||
\(511\) | − | 7.93127i | − | 0.350859i | ||||||
\(512\) | −22.6053 | + | 1.00071i | −0.999022 | + | 0.0442257i | ||||
\(513\) | −0.941290 | + | 6.28823i | −0.0415590 | + | 0.277632i | ||||
\(514\) | 14.4870 | + | 17.0935i | 0.638992 | + | 0.753963i | ||||
\(515\) | −48.8744 | + | 32.6568i | −2.15366 | + | 1.43903i | ||||
\(516\) | −22.9893 | − | 5.00178i | −1.01205 | − | 0.220191i | ||||
\(517\) | 14.6527 | − | 2.91461i | 0.644426 | − | 0.128184i | ||||
\(518\) | −12.2645 | − | 3.50947i | −0.538873 | − | 0.154197i | ||||
\(519\) | 18.3128 | − | 6.54332i | 0.803845 | − | 0.287220i | ||||
\(520\) | −60.7082 | + | 36.2539i | −2.66223 | + | 1.58984i | ||||
\(521\) | −1.71027 | − | 0.708417i | −0.0749283 | − | 0.0310363i | 0.344905 | − | 0.938638i | \(-0.387911\pi\) |
−0.419833 | + | 0.907601i | \(0.637911\pi\) | |||||||
\(522\) | −8.45290 | − | 8.20402i | −0.369973 | − | 0.359080i | ||||
\(523\) | 25.2285 | + | 16.8571i | 1.10316 | + | 0.737111i | 0.967305 | − | 0.253617i | \(-0.0816204\pi\) |
0.135859 | + | 0.990728i | \(0.456620\pi\) | |||||||
\(524\) | −14.5131 | − | 32.1231i | −0.634008 | − | 1.40330i | ||||
\(525\) | 8.98688 | − | 35.8105i | 0.392220 | − | 1.56290i | ||||
\(526\) | 18.5080 | + | 9.51933i | 0.806988 | + | 0.415062i | ||||
\(527\) | 8.60914 | − | 8.60914i | 0.375020 | − | 0.375020i | ||||
\(528\) | 5.18058 | − | 13.0108i | 0.225456 | − | 0.566222i | ||||
\(529\) | −8.38609 | − | 8.38609i | −0.364613 | − | 0.364613i | ||||
\(530\) | 17.5209 | + | 54.6314i | 0.761060 | + | 2.37304i | ||||
\(531\) | 0.832484 | − | 2.73563i | 0.0361267 | − | 0.118716i | ||||
\(532\) | −0.177475 | − | 5.60594i | −0.00769451 | − | 0.243049i | ||||
\(533\) | 8.15986 | − | 12.2121i | 0.353443 | − | 0.528964i | ||||
\(534\) | 12.9397 | − | 0.835372i | 0.559955 | − | 0.0361501i | ||||
\(535\) | −15.5522 | + | 37.5463i | −0.672379 | + | 1.62327i | ||||
\(536\) | 8.12222 | − | 17.1015i | 0.350827 | − | 0.738670i | ||||
\(537\) | −2.99246 | + | 1.06923i | −0.129134 | + | 0.0461406i | ||||
\(538\) | −4.19178 | − | 7.55234i | −0.180721 | − | 0.325604i | ||||
\(539\) | −0.689165 | − | 3.46466i | −0.0296844 | − | 0.149234i | ||||
\(540\) | −3.11755 | − | 39.1765i | −0.134158 | − | 1.68589i | ||||
\(541\) | 14.9437 | + | 22.3648i | 0.642480 | + | 0.961540i | 0.999622 | + | 0.0274895i | \(0.00875130\pi\) |
−0.357142 | + | 0.934050i | \(0.616249\pi\) | |||||||
\(542\) | 7.08988 | + | 0.585181i | 0.304536 | + | 0.0251357i | ||||
\(543\) | −1.24196 | + | 25.0548i | −0.0532977 | + | 1.07521i | ||||
\(544\) | 7.04977 | − | 16.1426i | 0.302256 | − | 0.692107i | ||||
\(545\) | −39.0090 | −1.67096 | ||||||||
\(546\) | 4.88002 | − | 36.7886i | 0.208845 | − | 1.57441i | ||||
\(547\) | 35.1482 | − | 23.4853i | 1.50283 | − | 1.00416i | 0.513559 | − | 0.858054i | \(-0.328327\pi\) |
0.989269 | − | 0.146103i | \(-0.0466731\pi\) | |||||||
\(548\) | −17.1091 | + | 27.4476i | −0.730863 | + | 1.17250i | ||||
\(549\) | −2.27275 | − | 23.2865i | −0.0969984 | − | 0.993844i | ||||
\(550\) | 12.9030 | + | 23.2474i | 0.550188 | + | 0.991274i | ||||
\(551\) | 3.13882 | − | 1.30014i | 0.133718 | − | 0.0553878i | ||||
\(552\) | −10.3472 | − | 12.6611i | −0.440404 | − | 0.538891i | ||||
\(553\) | 22.9007 | + | 9.48578i | 0.973837 | + | 0.403376i | ||||
\(554\) | 25.4719 | − | 2.91641i | 1.08220 | − | 0.123906i | ||||
\(555\) | 15.3666 | − | 20.7004i | 0.652278 | − | 0.878683i | ||||
\(556\) | 16.4804 | − | 17.5580i | 0.698924 | − | 0.744624i | ||||
\(557\) | 10.5524 | + | 2.09899i | 0.447118 | + | 0.0889372i | 0.413513 | − | 0.910498i | \(-0.364301\pi\) |
0.0336041 | + | 0.999435i | \(0.489301\pi\) | |||||||
\(558\) | 3.47896 | + | 16.2196i | 0.147276 | + | 0.686631i | ||||
\(559\) | 31.7477 | − | 31.7477i | 1.34278 | − | 1.34278i | ||||
\(560\) | 8.90045 | + | 33.5055i | 0.376113 | + | 1.41587i | ||||
\(561\) | 7.31772 | + | 8.08103i | 0.308954 | + | 0.341181i | ||||
\(562\) | −33.2046 | − | 17.0783i | −1.40065 | − | 0.720404i | ||||
\(563\) | 45.5335 | + | 9.05718i | 1.91901 | + | 0.381715i | 0.999924 | − | 0.0123428i | \(-0.00392892\pi\) |
0.919086 | + | 0.394057i | \(0.128929\pi\) | |||||||
\(564\) | −10.2193 | + | 23.4754i | −0.430312 | + | 0.988492i | ||||
\(565\) | −5.65956 | + | 8.47013i | −0.238099 | + | 0.356341i | ||||
\(566\) | 3.26551 | − | 4.10996i | 0.137259 | − | 0.172755i | ||||
\(567\) | 17.1298 | + | 11.4896i | 0.719385 | + | 0.482519i | ||||
\(568\) | −19.1337 | + | 25.7119i | −0.802831 | + | 1.07885i | ||||
\(569\) | 6.46341 | − | 2.67723i | 0.270960 | − | 0.112235i | −0.243066 | − | 0.970010i | \(-0.578153\pi\) |
0.514027 | + | 0.857774i | \(0.328153\pi\) | |||||||
\(570\) | 10.7298 | + | 3.65401i | 0.449422 | + | 0.153050i | ||||
\(571\) | 6.40182 | + | 32.1841i | 0.267908 | + | 1.34686i | 0.846996 | + | 0.531599i | \(0.178409\pi\) |
−0.579089 | + | 0.815265i | \(0.696591\pi\) | |||||||
\(572\) | 15.5433 | + | 21.7401i | 0.649898 | + | 0.908998i | ||||
\(573\) | −27.6709 | + | 16.5687i | −1.15597 | + | 0.692168i | ||||
\(574\) | −4.65573 | − | 5.49341i | −0.194326 | − | 0.229291i | ||||
\(575\) | 31.0443 | 1.29464 | ||||||||
\(576\) | 13.2515 | + | 20.0100i | 0.552144 | + | 0.833749i | ||||
\(577\) | −29.9503 | −1.24685 | −0.623423 | − | 0.781885i | \(-0.714258\pi\) | ||||
−0.623423 | + | 0.781885i | \(0.714258\pi\) | |||||||
\(578\) | −6.67815 | − | 7.87972i | −0.277774 | − | 0.327753i | ||||
\(579\) | 12.4272 | − | 7.44114i | 0.516459 | − | 0.309243i | ||||
\(580\) | −17.0825 | + | 12.2133i | −0.709310 | + | 0.507129i | ||||
\(581\) | 2.40766 | + | 12.1041i | 0.0998864 | + | 0.502163i | ||||
\(582\) | 9.39653 | + | 3.19997i | 0.389499 | + | 0.132643i | ||||
\(583\) | 20.0335 | − | 8.29814i | 0.829702 | − | 0.343674i | ||||
\(584\) | −9.68472 | + | 1.42060i | −0.400757 | + | 0.0587850i | ||||
\(585\) | 66.1117 | + | 35.4126i | 2.73338 | + | 1.46413i | ||||
\(586\) | 12.2830 | − | 15.4594i | 0.507406 | − | 0.638621i | ||||
\(587\) | −8.63025 | + | 12.9161i | −0.356209 | + | 0.533104i | −0.965690 | − | 0.259696i | \(-0.916378\pi\) |
0.609482 | + | 0.792800i | \(0.291378\pi\) | |||||||
\(588\) | 5.55080 | + | 2.41638i | 0.228911 | + | 0.0996499i | ||||
\(589\) | −4.69249 | − | 0.933395i | −0.193351 | − | 0.0384599i | ||||
\(590\) | −4.53316 | − | 2.33156i | −0.186627 | − | 0.0959889i | ||||
\(591\) | −16.9283 | − | 18.6941i | −0.696339 | − | 0.768974i | ||||
\(592\) | −2.08859 | + | 15.6046i | −0.0858407 | + | 0.641345i | ||||
\(593\) | 16.3306 | − | 16.3306i | 0.670617 | − | 0.670617i | −0.287241 | − | 0.957858i | \(-0.592738\pi\) |
0.957858 | + | 0.287241i | \(0.0927380\pi\) | |||||||
\(594\) | −14.6598 | + | 2.39229i | −0.601501 | + | 0.0981567i | ||||
\(595\) | −26.4692 | − | 5.26504i | −1.08513 | − | 0.215846i | ||||
\(596\) | 17.7145 | + | 16.6273i | 0.725613 | + | 0.681080i | ||||
\(597\) | 4.92671 | − | 6.63678i | 0.201637 | − | 0.271625i | ||||
\(598\) | 31.0015 | − | 3.54952i | 1.26775 | − | 0.145151i | ||||
\(599\) | −23.4993 | − | 9.73373i | −0.960155 | − | 0.397709i | −0.153117 | − | 0.988208i | \(-0.548931\pi\) |
−0.807038 | + | 0.590499i | \(0.798931\pi\) | |||||||
\(600\) | −45.3372 | − | 4.55953i | −1.85088 | − | 0.186142i | ||||
\(601\) | −23.2857 | + | 9.64525i | −0.949844 | + | 0.393438i | −0.803172 | − | 0.595747i | \(-0.796856\pi\) |
−0.146672 | + | 0.989185i | \(0.546856\pi\) | |||||||
\(602\) | −10.6826 | − | 19.2468i | −0.435389 | − | 0.784440i | ||||
\(603\) | −19.9857 | + | 1.95059i | −0.813882 | + | 0.0794343i | ||||
\(604\) | 4.65026 | + | 2.89867i | 0.189216 | + | 0.117945i | ||||
\(605\) | −21.7406 | + | 14.5266i | −0.883882 | + | 0.590591i | ||||
\(606\) | −1.77811 | + | 13.4045i | −0.0722309 | + | 0.544523i | ||||
\(607\) | −6.82575 | −0.277049 | −0.138524 | − | 0.990359i | \(-0.544236\pi\) | ||||
−0.138524 | + | 0.990359i | \(0.544236\pi\) | |||||||
\(608\) | −6.81352 | + | 1.22082i | −0.276325 | + | 0.0495106i | ||||
\(609\) | 0.545650 | − | 11.0077i | 0.0221109 | − | 0.446056i | ||||
\(610\) | −41.5688 | − | 3.43098i | −1.68307 | − | 0.138916i | ||||
\(611\) | −27.1452 | − | 40.6256i | −1.09818 | − | 1.64354i | ||||
\(612\) | −18.5283 | + | 2.40234i | −0.748960 | + | 0.0971088i | ||||
\(613\) | 5.57828 | + | 28.0439i | 0.225305 | + | 1.13268i | 0.913400 | + | 0.407062i | \(0.133447\pi\) |
−0.688096 | + | 0.725620i | \(0.741553\pi\) | |||||||
\(614\) | −15.0114 | − | 27.0460i | −0.605811 | − | 1.09149i | ||||
\(615\) | 13.7041 | − | 4.89657i | 0.552602 | − | 0.197449i | ||||
\(616\) | 12.3439 | − | 4.39424i | 0.497351 | − | 0.177049i | ||||
\(617\) | −0.107691 | + | 0.259989i | −0.00433547 | + | 0.0104667i | −0.926032 | − | 0.377444i | \(-0.876803\pi\) |
0.921697 | + | 0.387911i | \(0.126803\pi\) | |||||||
\(618\) | −37.9947 | + | 2.45289i | −1.52837 | + | 0.0986698i | ||||
\(619\) | −16.5250 | + | 24.7314i | −0.664195 | + | 0.994038i | 0.334471 | + | 0.942406i | \(0.391442\pi\) |
−0.998666 | + | 0.0516321i | \(0.983558\pi\) | |||||||
\(620\) | 29.5575 | − | 0.935742i | 1.18706 | − | 0.0375803i | ||||
\(621\) | −5.86439 | + | 16.3217i | −0.235330 | + | 0.654965i | ||||
\(622\) | −1.90621 | − | 5.94368i | −0.0764320 | − | 0.238320i | ||||
\(623\) | 8.57856 | + | 8.57856i | 0.343693 | + | 0.343693i | ||||
\(624\) | −45.7960 | + | 0.630481i | −1.83331 | + | 0.0252394i | ||||
\(625\) | 10.6101 | − | 10.6101i | 0.424404 | − | 0.424404i | ||||
\(626\) | −13.1104 | − | 6.74315i | −0.523998 | − | 0.269511i | ||||
\(627\) | 1.04278 | − | 4.15524i | 0.0416448 | − | 0.165944i | ||||
\(628\) | −26.3110 | + | 11.8872i | −1.04992 | + | 0.474352i | ||||
\(629\) | −10.1906 | − | 6.80911i | −0.406324 | − | 0.271497i | ||||
\(630\) | 25.6093 | − | 26.3862i | 1.02030 | − | 1.05125i | ||||
\(631\) | 23.8880 | + | 9.89474i | 0.950967 | + | 0.393904i | 0.803594 | − | 0.595177i | \(-0.202918\pi\) |
0.147373 | + | 0.989081i | \(0.452918\pi\) | |||||||
\(632\) | 7.48106 | − | 29.6626i | 0.297581 | − | 1.17992i | ||||
\(633\) | −42.0932 | + | 15.0402i | −1.67306 | + | 0.597795i | ||||
\(634\) | −2.45367 | − | 0.702112i | −0.0974476 | − | 0.0278844i | ||||
\(635\) | −45.3506 | + | 9.02080i | −1.79968 | + | 0.357979i | ||||
\(636\) | −7.90037 | + | 36.3119i | −0.313270 | + | 1.43986i | ||||
\(637\) | −9.60599 | + | 6.41852i | −0.380603 | + | 0.254311i | ||||
\(638\) | 5.13151 | + | 6.05480i | 0.203159 | + | 0.239712i | ||||
\(639\) | 33.8274 | + | 3.36189i | 1.33819 | + | 0.132994i | ||||
\(640\) | 39.3187 | − | 16.8695i | 1.55421 | − | 0.666825i | ||||
\(641\) | 33.6560i | 1.32933i | 0.747141 | + | 0.664666i | \(0.231426\pi\) | ||||
−0.747141 | + | 0.664666i | \(0.768574\pi\) | |||||||
\(642\) | −20.8995 | + | 16.0042i | −0.824836 | + | 0.631635i | ||||
\(643\) | 10.9875 | + | 16.4440i | 0.433306 | + | 0.648488i | 0.982295 | − | 0.187342i | \(-0.0599871\pi\) |
−0.548989 | + | 0.835830i | \(0.684987\pi\) | |||||||
\(644\) | 2.50835 | − | 15.0917i | 0.0988430 | − | 0.594697i | ||||
\(645\) | 44.0075 | − | 6.50802i | 1.73279 | − | 0.256253i | ||||
\(646\) | 1.48244 | − | 5.18068i | 0.0583259 | − | 0.203831i | ||||
\(647\) | 9.18900 | + | 22.1842i | 0.361257 | + | 0.872152i | 0.995117 | + | 0.0987037i | \(0.0314696\pi\) |
−0.633860 | + | 0.773448i | \(0.718530\pi\) | |||||||
\(648\) | 10.9616 | − | 22.9749i | 0.430611 | − | 0.902538i | ||||
\(649\) | −0.737304 | + | 1.78001i | −0.0289417 | + | 0.0698715i | ||||
\(650\) | 54.0935 | − | 68.0820i | 2.12172 | − | 2.67040i | ||||
\(651\) | −9.25114 | + | 12.4622i | −0.362581 | + | 0.488433i | ||||
\(652\) | −2.81234 | − | 6.22480i | −0.110140 | − | 0.243782i | ||||
\(653\) | 8.51594 | − | 42.8125i | 0.333254 | − | 1.67538i | −0.343483 | − | 0.939159i | \(-0.611607\pi\) |
0.676738 | − | 0.736224i | \(-0.263393\pi\) | |||||||
\(654\) | −21.8696 | − | 12.6550i | −0.855169 | − | 0.494850i | ||||
\(655\) | 47.1294 | + | 47.1294i | 1.84150 | + | 1.84150i | ||||
\(656\) | −5.87399 | + | 6.66897i | −0.229341 | + | 0.260379i | ||||
\(657\) | 6.57926 | + | 8.03131i | 0.256681 | + | 0.313331i | ||||
\(658\) | −22.8107 | + | 7.31566i | −0.889254 | + | 0.285194i | ||||
\(659\) | −9.06999 | + | 45.5979i | −0.353317 | + | 1.77624i | 0.239490 | + | 0.970899i | \(0.423020\pi\) |
−0.592807 | + | 0.805345i | \(0.701980\pi\) | |||||||
\(660\) | −0.473472 | + | 26.4756i | −0.0184299 | + | 1.03056i | ||||
\(661\) | −8.73639 | − | 5.83747i | −0.339806 | − | 0.227051i | 0.373944 | − | 0.927451i | \(-0.378005\pi\) |
−0.713751 | + | 0.700400i | \(0.753005\pi\) | |||||||
\(662\) | −36.2881 | + | 4.15481i | −1.41038 | + | 0.161481i | ||||
\(663\) | 15.2584 | − | 32.2244i | 0.592588 | − | 1.25149i | ||||
\(664\) | 14.3488 | − | 5.10796i | 0.556843 | − | 0.198227i | ||||
\(665\) | 4.05845 | + | 9.79798i | 0.157380 | + | 0.379949i | ||||
\(666\) | 15.3305 | − | 6.62011i | 0.594043 | − | 0.256524i | ||||
\(667\) | 9.08895 | − | 1.80791i | 0.351926 | − | 0.0700024i | ||||
\(668\) | 0.756336 | + | 3.25962i | 0.0292635 | + | 0.126119i | ||||
\(669\) | −13.0215 | + | 7.79698i | −0.503441 | + | 0.301448i | ||||
\(670\) | −2.94465 | + | 35.6765i | −0.113762 | + | 1.37830i | ||||
\(671\) | 15.7645i | 0.608583i | ||||||||
\(672\) | −5.87975 | + | 21.6716i | −0.226816 | + | 0.835999i | ||||
\(673\) | 8.71399i | 0.335900i | 0.985796 | + | 0.167950i | \(0.0537147\pi\) | ||||
−0.985796 | + | 0.167950i | \(0.946285\pi\) | |||||||
\(674\) | 24.2397 | + | 2.00069i | 0.933680 | + | 0.0770637i | ||||
\(675\) | 20.6058 | + | 43.7171i | 0.793117 | + | 1.68267i | ||||
\(676\) | 32.4811 | − | 52.1085i | 1.24927 | − | 2.00417i | ||||
\(677\) | 30.8028 | − | 6.12706i | 1.18385 | − | 0.235482i | 0.436369 | − | 0.899768i | \(-0.356264\pi\) |
0.747479 | + | 0.664286i | \(0.231264\pi\) | |||||||
\(678\) | −5.92073 | + | 2.91257i | −0.227384 | + | 0.111856i | ||||
\(679\) | 3.55416 | + | 8.58049i | 0.136396 | + | 0.329289i | ||||
\(680\) | −1.68804 | + | 33.2640i | −0.0647333 | + | 1.27562i | ||||
\(681\) | 12.8188 | + | 6.06979i | 0.491219 | + | 0.232595i | ||||
\(682\) | −1.27141 | − | 11.1045i | −0.0486846 | − | 0.425212i | ||||
\(683\) | −5.28552 | − | 3.53167i | −0.202245 | − | 0.135136i | 0.450324 | − | 0.892865i | \(-0.351309\pi\) |
−0.652569 | + | 0.757730i | \(0.726309\pi\) | |||||||
\(684\) | 4.83003 | + | 5.52943i | 0.184681 | + | 0.211423i | ||||
\(685\) | 11.9310 | − | 59.9810i | 0.455859 | − | 2.29176i | ||||
\(686\) | 8.65841 | + | 26.9975i | 0.330580 | + | 1.03077i | ||||
\(687\) | 12.5159 | + | 13.8214i | 0.477510 | + | 0.527319i | ||||
\(688\) | −21.5885 | + | 16.4916i | −0.823053 | + | 0.628738i | ||||
\(689\) | −50.1458 | − | 50.1458i | −1.91040 | − | 1.91040i | ||||
\(690\) | 26.7604 | + | 15.4851i | 1.01875 | + | 0.589509i | ||||
\(691\) | 6.92036 | − | 34.7910i | 0.263263 | − | 1.32351i | −0.592260 | − | 0.805747i | \(-0.701764\pi\) |
0.855523 | − | 0.517765i | \(-0.173236\pi\) | |||||||
\(692\) | 7.93246 | − | 21.0074i | 0.301547 | − | 0.798581i | ||||
\(693\) | −10.7352 | − | 8.82601i | −0.407795 | − | 0.335272i | ||||
\(694\) | −2.78375 | − | 2.21179i | −0.105670 | − | 0.0839583i | ||||
\(695\) | −17.4247 | + | 42.0670i | −0.660957 | + | 1.59569i | ||||
\(696\) | −13.5391 | + | 1.30536i | −0.513197 | + | 0.0494795i | ||||
\(697\) | −2.64752 | − | 6.39167i | −0.100282 | − | 0.242102i | ||||
\(698\) | 32.0174 | + | 9.16170i | 1.21188 | + | 0.346775i | ||||
\(699\) | −3.47831 | − | 23.5205i | −0.131562 | − | 0.889626i | ||||
\(700\) | −24.7952 | − | 34.6805i | −0.937171 | − | 1.31080i | ||||
\(701\) | −15.3203 | − | 22.9284i | −0.578639 | − | 0.865994i | 0.420508 | − | 0.907289i | \(-0.361852\pi\) |
−0.999147 | + | 0.0412948i | \(0.986852\pi\) | |||||||
\(702\) | 25.5758 | + | 41.3008i | 0.965298 | + | 1.55880i | ||||
\(703\) | 4.81622i | 0.181647i | ||||||||
\(704\) | −7.57670 | − | 14.2859i | −0.285558 | − | 0.538419i | ||||
\(705\) | 2.39681 | − | 48.3524i | 0.0902693 | − | 1.82106i | ||||
\(706\) | 1.67186 | − | 1.41692i | 0.0629212 | − | 0.0533264i | ||||
\(707\) | −10.5193 | + | 7.02880i | −0.395621 | + | 0.264345i | ||||
\(708\) | −1.78503 | − | 2.77775i | −0.0670856 | − | 0.104394i | ||||
\(709\) | 14.0908 | − | 2.80283i | 0.529191 | − | 0.105263i | 0.0767385 | − | 0.997051i | \(-0.475549\pi\) |
0.452452 | + | 0.891789i | \(0.350549\pi\) | |||||||
\(710\) | 16.6718 | − | 58.2629i | 0.625681 | − | 2.18657i | ||||
\(711\) | −31.0583 | + | 9.39147i | −1.16478 | + | 0.352208i | ||||
\(712\) | 8.93857 | − | 12.0117i | 0.334987 | − | 0.450156i | ||||
\(713\) | −12.0569 | − | 4.99412i | −0.451533 | − | 0.187031i | ||||
\(714\) | −13.1313 | − | 11.5387i | −0.491427 | − | 0.431823i | ||||
\(715\) | −42.0164 | − | 28.0744i | −1.57132 | − | 1.04992i | ||||
\(716\) | −1.29622 | + | 3.43277i | −0.0484422 | + | 0.128289i | ||||
\(717\) | 34.2916 | + | 8.60571i | 1.28064 | + | 0.321386i | ||||
\(718\) | 6.79969 | − | 13.2203i | 0.253762 | − | 0.493379i | ||||
\(719\) | 21.0905 | − | 21.0905i | 0.786545 | − | 0.786545i | −0.194381 | − | 0.980926i | \(-0.562270\pi\) |
0.980926 | + | 0.194381i | \(0.0622699\pi\) | |||||||
\(720\) | −36.8066 | − | 26.5449i | −1.37170 | − | 0.989269i | ||||
\(721\) | −25.1891 | − | 25.1891i | −0.938092 | − | 0.938092i | ||||
\(722\) | 23.5700 | − | 7.55918i | 0.877185 | − | 0.281323i | ||||
\(723\) | −0.912945 | + | 3.63786i | −0.0339528 | + | 0.135293i | ||||
\(724\) | 21.1202 | + | 19.8239i | 0.784925 | + | 0.736751i | ||||
\(725\) | 14.3471 | − | 21.4720i | 0.532839 | − | 0.797450i | ||||
\(726\) | −16.9010 | + | 1.09111i | −0.627256 | + | 0.0404950i | ||||
\(727\) | −13.2354 | + | 31.9530i | −0.490872 | + | 1.18507i | 0.463405 | + | 0.886147i | \(0.346628\pi\) |
−0.954277 | + | 0.298923i | \(0.903372\pi\) | |||||||
\(728\) | −28.7263 | − | 31.7977i | −1.06467 | − | 1.17850i | ||||
\(729\) | −26.8769 | + | 2.57522i | −0.995441 | + | 0.0953786i | ||||
\(730\) | 16.1827 | − | 8.98190i | 0.598949 | − | 0.332435i | ||||
\(731\) | −4.12589 | − | 20.7423i | −0.152602 | − | 0.767180i | ||||
\(732\) | −22.1916 | − | 15.4089i | −0.820225 | − | 0.569531i | ||||
\(733\) | 6.99739 | + | 10.4723i | 0.258455 | + | 0.386805i | 0.937891 | − | 0.346930i | \(-0.112776\pi\) |
−0.679437 | + | 0.733734i | \(0.737776\pi\) | |||||||
\(734\) | −0.354656 | + | 4.29690i | −0.0130906 | + | 0.158602i | ||||
\(735\) | −11.4330 | − | 0.566731i | −0.421713 | − | 0.0209042i | ||||
\(736\) | −18.8775 | − | 0.359762i | −0.695833 | − | 0.0132610i | ||||
\(737\) | 13.5300 | 0.498383 | ||||||||
\(738\) | 9.27142 | + | 1.70062i | 0.341286 | + | 0.0626006i | ||||
\(739\) | −2.40827 | + | 1.60916i | −0.0885897 | + | 0.0591938i | −0.599076 | − | 0.800692i | \(-0.704465\pi\) |
0.510486 | + | 0.859886i | \(0.329465\pi\) | |||||||
\(740\) | −6.72858 | − | 28.9985i | −0.247347 | − | 1.06601i | ||||
\(741\) | −13.8602 | + | 2.04971i | −0.509167 | + | 0.0752979i | ||||
\(742\) | −30.4005 | + | 16.8732i | −1.11604 | + | 0.619436i | ||||
\(743\) | 12.8420 | − | 5.31933i | 0.471127 | − | 0.195147i | −0.134472 | − | 0.990917i | \(-0.542934\pi\) |
0.605599 | + | 0.795770i | \(0.292934\pi\) | |||||||
\(744\) | 16.8744 | + | 9.06423i | 0.618645 | + | 0.332311i | ||||
\(745\) | −42.4419 | − | 17.5800i | −1.55495 | − | 0.644082i | ||||
\(746\) | 2.73903 | + | 23.9227i | 0.100283 | + | 0.875872i | ||||
\(747\) | −12.4788 | − | 10.2595i | −0.456575 | − | 0.375377i | ||||
\(748\) | 12.5822 | − | 0.398330i | 0.460049 | − | 0.0145644i | ||||
\(749\) | −24.1556 | − | 4.80485i | −0.882628 | − | 0.175566i | ||||
\(750\) | 38.4944 | − | 10.2741i | 1.40562 | − | 0.375157i | ||||
\(751\) | −23.2761 | + | 23.2761i | −0.849357 | + | 0.849357i | −0.990053 | − | 0.140696i | \(-0.955066\pi\) |
0.140696 | + | 0.990053i | \(0.455066\pi\) | |||||||
\(752\) | 13.0187 | + | 26.5434i | 0.474744 | + | 0.967938i | ||||
\(753\) | −17.0366 | + | 15.4274i | −0.620848 | + | 0.562205i | ||||
\(754\) | 11.8723 | − | 23.0828i | 0.432364 | − | 0.840626i | ||||
\(755\) | −10.1622 | − | 2.02138i | −0.369839 | − | 0.0735655i | ||||
\(756\) | 22.9173 | − | 6.48488i | 0.833494 | − | 0.235853i | ||||
\(757\) | 16.0279 | − | 23.9875i | 0.582545 | − | 0.871840i | −0.416764 | − | 0.909015i | \(-0.636836\pi\) |
0.999309 | + | 0.0371749i | \(0.0118359\pi\) | |||||||
\(758\) | −11.6250 | − | 9.23646i | −0.422239 | − | 0.335483i | ||||
\(759\) | 5.00087 | − | 10.5614i | 0.181520 | − | 0.383354i | ||||
\(760\) | 11.2372 | − | 6.71066i | 0.407616 | − | 0.243421i | ||||
\(761\) | 20.1599 | − | 8.35050i | 0.730796 | − | 0.302706i | 0.0139168 | − | 0.999903i | \(-0.495570\pi\) |
0.716879 | + | 0.697198i | \(0.245570\pi\) | |||||||
\(762\) | −28.3513 | − | 9.65498i | −1.02706 | − | 0.349763i | ||||
\(763\) | −4.61205 | − | 23.1863i | −0.166967 | − | 0.839402i | ||||
\(764\) | −6.10607 | + | 36.7376i | −0.220910 | + | 1.32912i | ||||
\(765\) | 31.1705 | − | 16.6256i | 1.12697 | − | 0.601100i | ||||
\(766\) | 28.7590 | − | 24.3736i | 1.03910 | − | 0.880652i | ||||
\(767\) | 6.30109 | 0.227519 | ||||||||
\(768\) | 27.5159 | + | 3.29796i | 0.992894 | + | 0.119005i | ||||
\(769\) | 2.83222 | 0.102132 | 0.0510662 | − | 0.998695i | \(-0.483738\pi\) | ||||
0.0510662 | + | 0.998695i | \(0.483738\pi\) | |||||||
\(770\) | −18.9004 | + | 16.0183i | −0.681123 | + | 0.577259i | ||||
\(771\) | −14.0979 | − | 23.5444i | −0.507722 | − | 0.847932i | ||||
\(772\) | 2.74228 | − | 16.4992i | 0.0986970 | − | 0.593818i | ||||
\(773\) | −1.30315 | − | 6.55138i | −0.0468711 | − | 0.235637i | 0.950247 | − | 0.311496i | \(-0.100830\pi\) |
−0.997119 | + | 0.0758592i | \(0.975830\pi\) | |||||||
\(774\) | 26.7831 | + | 10.6280i | 0.962700 | + | 0.382015i | ||||
\(775\) | −33.5986 | + | 13.9170i | −1.20690 | + | 0.499913i | ||||
\(776\) | 9.84087 | − | 5.87680i | 0.353267 | − | 0.210965i | ||||
\(777\) | 14.1208 | + | 6.68627i | 0.506581 | + | 0.239869i | ||||
\(778\) | −3.46000 | − | 2.74909i | −0.124047 | − | 0.0985597i | ||||
\(779\) | −1.51040 | + | 2.26048i | −0.0541158 | + | 0.0809900i | ||||
\(780\) | 80.5888 | − | 31.7049i | 2.88554 | − | 1.13522i | ||||
\(781\) | −22.4644 | − | 4.46845i | −0.803840 | − | 0.159894i | ||||
\(782\) | 6.72274 | − | 13.0707i | 0.240405 | − | 0.467408i | ||||
\(783\) | 8.57875 | + | 11.5992i | 0.306579 | + | 0.414522i | ||||
\(784\) | 6.27623 | − | 3.07830i | 0.224151 | − | 0.109939i | ||||
\(785\) | 38.6022 | − | 38.6022i | 1.37777 | − | 1.37777i | ||||
\(786\) | 11.1327 | + | 41.7115i | 0.397092 | + | 1.48780i | ||||
\(787\) | −31.6313 | − | 6.29187i | −1.12754 | − | 0.224281i | −0.404128 | − | 0.914702i | \(-0.632425\pi\) |
−0.723407 | + | 0.690422i | \(0.757425\pi\) | |||||||
\(788\) | −29.1068 | + | 0.921471i | −1.03689 | + | 0.0328260i | ||||
\(789\) | −20.4672 | − | 15.1935i | −0.728650 | − | 0.540903i | ||||
\(790\) | 6.57981 | + | 57.4681i | 0.234099 | + | 2.04462i | ||||
\(791\) | −5.70364 | − | 2.36253i | −0.202798 | − | 0.0840017i | ||||
\(792\) | −8.85445 | + | 14.6894i | −0.314629 | + | 0.521964i | ||||
\(793\) | 47.6327 | − | 19.7301i | 1.69149 | − | 0.700636i | ||||
\(794\) | −16.4514 | + | 9.13106i | −0.583840 | + | 0.324049i | ||||
\(795\) | −10.2795 | − | 69.5103i | −0.364576 | − | 2.46528i | ||||
\(796\) | −2.15726 | − | 9.29724i | −0.0764619 | − | 0.329532i | ||||
\(797\) | 12.1467 | − | 8.11614i | 0.430257 | − | 0.287488i | −0.321524 | − | 0.946901i | \(-0.604195\pi\) |
0.751781 | + | 0.659413i | \(0.229195\pi\) | |||||||
\(798\) | −0.903299 | + | 6.80964i | −0.0319764 | + | 0.241059i | ||||
\(799\) | −23.0149 | −0.814208 | ||||||||
\(800\) | −37.9065 | + | 36.4887i | −1.34020 | + | 1.29007i | ||||
\(801\) | −15.8030 | − | 1.57056i | −0.558370 | − | 0.0554929i | ||||
\(802\) | 0.451818 | − | 5.47409i | 0.0159543 | − | 0.193297i | ||||
\(803\) | −3.88636 | − | 5.81635i | −0.137147 | − | 0.205255i | ||||
\(804\) | −13.2248 | + | 19.0460i | −0.466402 | + | 0.671701i | ||||
\(805\) | 5.64347 | + | 28.3716i | 0.198906 | + | 0.999969i | ||||
\(806\) | −31.9610 | + | 17.7394i | −1.12578 | + | 0.624842i | ||||
\(807\) | 3.55953 | + | 9.96208i | 0.125301 | + | 0.350682i | ||||
\(808\) | 10.4669 | + | 11.5860i | 0.368224 | + | 0.407594i | ||||
\(809\) | 2.78311 | − | 6.71902i | 0.0978489 | − | 0.236228i | −0.867374 | − | 0.497657i | \(-0.834194\pi\) |
0.965223 | + | 0.261429i | \(0.0841938\pi\) | |||||||
\(810\) | −4.04408 | + | 47.9627i | −0.142095 | + | 1.68524i | ||||
\(811\) | 16.6984 | − | 24.9910i | 0.586361 | − | 0.877552i | −0.413089 | − | 0.910690i | \(-0.635550\pi\) |
0.999451 | + | 0.0331387i | \(0.0105503\pi\) | |||||||
\(812\) | −9.27905 | − | 8.70956i | −0.325631 | − | 0.305646i | ||||
\(813\) | −8.45077 | − | 2.12078i | −0.296381 | − | 0.0743789i | ||||
\(814\) | −10.7138 | + | 3.43604i | −0.375518 | + | 0.120433i | ||||
\(815\) | 9.13272 | + | 9.13272i | 0.319905 | + | 0.319905i | ||||
\(816\) | −11.7376 | + | 18.1011i | −0.410899 | + | 0.633667i | ||||
\(817\) | −5.87655 | + | 5.87655i | −0.205594 | + | 0.205594i | ||||
\(818\) | 5.57599 | − | 10.8412i | 0.194960 | − | 0.379052i | ||||
\(819\) | −13.2323 | + | 43.4826i | −0.462373 | + | 1.51940i | ||||
\(820\) | 5.93611 | − | 15.7205i | 0.207298 | − | 0.548983i | ||||
\(821\) | −11.7978 | − | 7.88301i | −0.411745 | − | 0.275119i | 0.332399 | − | 0.943139i | \(-0.392142\pi\) |
−0.744143 | + | 0.668020i | \(0.767142\pi\) | |||||||
\(822\) | 26.1474 | − | 29.7565i | 0.911996 | − | 1.03788i | ||||
\(823\) | 9.62463 | + | 3.98665i | 0.335494 | + | 0.138966i | 0.544069 | − | 0.839040i | \(-0.316883\pi\) |
−0.208576 | + | 0.978006i | \(0.566883\pi\) | |||||||
\(824\) | −26.2462 | + | 35.2697i | −0.914330 | + | 1.22868i | ||||
\(825\) | −10.9568 | − | 30.6650i | −0.381468 | − | 1.06762i | ||||
\(826\) | 0.849887 | − | 2.97010i | 0.0295714 | − | 0.103343i | ||||
\(827\) | 17.8043 | − | 3.54149i | 0.619116 | − | 0.123150i | 0.124440 | − | 0.992227i | \(-0.460287\pi\) |
0.494676 | + | 0.869077i | \(0.335287\pi\) | |||||||
\(828\) | 9.97909 | + | 17.3628i | 0.346797 | + | 0.603400i | ||||
\(829\) | 10.9731 | − | 7.33196i | 0.381110 | − | 0.254650i | −0.350228 | − | 0.936664i | \(-0.613896\pi\) |
0.731338 | + | 0.682015i | \(0.238896\pi\) | |||||||
\(830\) | −21.9702 | + | 18.6200i | −0.762597 | + | 0.646309i | ||||
\(831\) | −31.3619 | − | 1.55460i | −1.08793 | − | 0.0539285i | ||||
\(832\) | −33.6822 | + | 40.7725i | −1.16772 | + | 1.41353i | ||||
\(833\) | 5.44191i | 0.188551i | ||||||||
\(834\) | −23.4159 | + | 17.9312i | −0.810825 | + | 0.620906i | ||||
\(835\) | −3.51518 | − | 5.26084i | −0.121648 | − | 0.182059i | ||||
\(836\) | −2.87709 | − | 4.02412i | −0.0995063 | − | 0.139177i | ||||
\(837\) | −0.969996 | − | 20.2935i | −0.0335280 | − | 0.701447i | ||||
\(838\) | −5.99289 | − | 1.71485i | −0.207021 | − | 0.0592386i | ||||
\(839\) | 4.69146 | + | 11.3262i | 0.161967 | + | 0.391024i | 0.983939 | − | 0.178505i | \(-0.0571259\pi\) |
−0.821972 | + | 0.569528i | \(0.807126\pi\) | |||||||
\(840\) | −4.07474 | − | 42.2629i | −0.140592 | − | 1.45821i | ||||
\(841\) | −8.14781 | + | 19.6705i | −0.280959 | + | 0.678295i | ||||
\(842\) | 44.5828 | + | 35.4226i | 1.53642 | + | 1.22074i | ||||
\(843\) | 36.7194 | + | 27.2581i | 1.26468 | + | 0.938819i | ||||
\(844\) | −18.2333 | + | 48.2868i | −0.627615 | + | 1.66210i | ||||
\(845\) | −22.6506 | + | 113.872i | −0.779204 | + | 3.91732i | ||||
\(846\) | 17.0298 | − | 26.3302i | 0.585498 | − | 0.905250i | ||||
\(847\) | −11.2048 | − | 11.2048i | −0.385001 | − | 0.385001i | ||||
\(848\) | 26.0487 | + | 34.0992i | 0.894518 | + | 1.17097i | ||||
\(849\) | −4.76554 | + | 4.31540i | −0.163553 | + | 0.148104i | ||||
\(850\) | −12.5086 | − | 39.0026i | −0.429041 | − | 1.33778i | ||||
\(851\) | −2.56290 | + | 12.8846i | −0.0878551 | + | 0.441677i | ||||
\(852\) | 28.2479 | − | 27.2553i | 0.967757 | − | 0.933752i | ||||
\(853\) | −6.58018 | − | 4.39673i | −0.225301 | − | 0.150541i | 0.437797 | − | 0.899074i | \(-0.355759\pi\) |
−0.663098 | + | 0.748532i | \(0.730759\pi\) | |||||||
\(854\) | −2.87537 | − | 25.1135i | −0.0983930 | − | 0.859365i | ||||
\(855\) | −12.2374 | − | 6.55493i | −0.418510 | − | 0.224174i | ||||
\(856\) | −1.54050 | + | 30.3566i | −0.0526531 | + | 1.03757i | ||||
\(857\) | −11.2472 | − | 27.1533i | −0.384199 | − | 0.927538i | −0.991144 | − | 0.132794i | \(-0.957605\pi\) |
0.606945 | − | 0.794744i | \(-0.292395\pi\) | |||||||
\(858\) | −14.4479 | − | 29.3700i | −0.493243 | − | 1.00267i | ||||
\(859\) | 19.9300 | − | 3.96432i | 0.680002 | − | 0.135261i | 0.157008 | − | 0.987597i | \(-0.449815\pi\) |
0.522994 | + | 0.852337i | \(0.324815\pi\) | |||||||
\(860\) | 27.1728 | − | 43.5927i | 0.926585 | − | 1.48650i | ||||
\(861\) | 4.53068 | + | 7.56657i | 0.154405 | + | 0.257868i | ||||
\(862\) | 32.0831 | + | 2.64806i | 1.09276 | + | 0.0901934i | ||||
\(863\) | − | 4.79400i | − | 0.163190i | −0.996666 | − | 0.0815948i | \(-0.973999\pi\) | ||
0.996666 | − | 0.0815948i | \(-0.0260013\pi\) | |||||||
\(864\) | −12.0234 | − | 26.8224i | −0.409043 | − | 0.912515i | ||||
\(865\) | 42.4591i | 1.44365i | ||||||||
\(866\) | −1.51415 | + | 18.3449i | −0.0514528 | + | 0.623387i | ||||
\(867\) | 6.49878 | + | 10.8534i | 0.220710 | + | 0.368602i | ||||
\(868\) | 4.05079 | + | 17.4579i | 0.137493 | + | 0.592560i | ||||
\(869\) | 21.4422 | − | 4.26511i | 0.727376 | − | 0.144684i | ||||
\(870\) | 23.0777 | − | 11.3526i | 0.782408 | − | 0.384888i | ||||
\(871\) | −16.9334 | − | 40.8809i | −0.573767 | − | 1.38520i | ||||
\(872\) | −27.4863 | + | 9.78469i | −0.930804 | + | 0.331352i | ||||
\(873\) | −10.7168 | − | 5.74042i | −0.362708 | − | 0.194284i | ||||
\(874\) | −5.73843 | + | 0.657022i | −0.194105 | + | 0.0222241i | ||||
\(875\) | 30.9948 | + | 20.7100i | 1.04781 | + | 0.700127i | ||||
\(876\) | 11.9863 | + | 0.214356i | 0.404981 | + | 0.00724241i | ||||
\(877\) | 2.56266 | − | 12.8834i | 0.0865349 | − | 0.435040i | −0.913093 | − | 0.407752i | \(-0.866313\pi\) |
0.999628 | − | 0.0272882i | \(-0.00868720\pi\) | |||||||
\(878\) | 36.2074 | − | 11.6121i | 1.22194 | − | 0.391891i | ||||
\(879\) | −17.9253 | + | 16.2321i | −0.604604 | + | 0.547495i | ||||
\(880\) | 22.9450 | + | 20.2098i | 0.773474 | + | 0.681272i | ||||
\(881\) | 21.6688 | + | 21.6688i | 0.730039 | + | 0.730039i | 0.970627 | − | 0.240588i | \(-0.0773402\pi\) |
−0.240588 | + | 0.970627i | \(0.577340\pi\) | |||||||
\(882\) | −6.22582 | − | 4.02673i | −0.209634 | − | 0.135587i | ||||
\(883\) | −6.14906 | + | 30.9134i | −0.206932 | + | 1.04032i | 0.728023 | + | 0.685553i | \(0.240439\pi\) |
−0.934955 | + | 0.354766i | \(0.884561\pi\) | |||||||
\(884\) | −16.9508 | − | 37.5186i | −0.570116 | − | 1.26189i | ||||
\(885\) | 5.01301 | + | 3.72133i | 0.168510 | + | 0.125091i | ||||
\(886\) | −29.0790 | + | 36.5988i | −0.976930 | + | 1.22956i | ||||
\(887\) | 8.30392 | − | 20.0474i | 0.278818 | − | 0.673127i | −0.720985 | − | 0.692951i | \(-0.756310\pi\) |
0.999803 | + | 0.0198234i | \(0.00631040\pi\) | |||||||
\(888\) | 5.63524 | − | 18.4402i | 0.189106 | − | 0.618814i | ||||
\(889\) | −10.7236 | − | 25.8891i | −0.359659 | − | 0.868294i | ||||
\(890\) | −7.78847 | + | 27.2183i | −0.261070 | + | 0.912361i | ||||
\(891\) | 18.1920 | + | 0.0321504i | 0.609456 | + | 0.00107708i | ||||
\(892\) | −2.87342 | + | 17.2882i | −0.0962092 | + | 0.578850i | ||||
\(893\) | 5.02461 | + | 7.51987i | 0.168142 | + | 0.251643i | ||||
\(894\) | −18.0910 | − | 23.6246i | −0.605053 | − | 0.790123i | ||||
\(895\) | − | 6.93814i | − | 0.231916i | ||||||
\(896\) | 14.6756 | + | 21.3759i | 0.490278 | + | 0.714120i | ||||
\(897\) | −38.1701 | − | 1.89208i | −1.27446 | − | 0.0631748i | ||||
\(898\) | 21.5113 | + | 25.3817i | 0.717840 | + | 0.846998i | ||||
\(899\) | −9.02630 | + | 6.03118i | −0.301044 | + | 0.201151i | ||||
\(900\) | 53.8766 | + | 14.5495i | 1.79589 | + | 0.484983i | ||||
\(901\) | −32.7627 | + | 6.51690i | −1.09148 | + | 0.217109i | ||||
\(902\) | −6.10605 | − | 1.74723i | −0.203309 | − | 0.0581765i | ||||
\(903\) | 9.07128 | + | 25.3879i | 0.301873 | + | 0.844856i | ||||
\(904\) | −1.86323 | + | 7.38777i | −0.0619701 | + | 0.245713i | ||||
\(905\) | −50.6016 | − | 20.9599i | −1.68205 | − | 0.696729i | ||||
\(906\) | −5.04144 | − | 4.42997i | −0.167491 | − | 0.147176i | ||||
\(907\) | −44.1084 | − | 29.4723i | −1.46460 | − | 0.978612i | −0.995429 | − | 0.0955034i | \(-0.969554\pi\) |
−0.469168 | − | 0.883109i | \(-0.655446\pi\) | |||||||
\(908\) | 14.9249 | − | 6.74300i | 0.495299 | − | 0.223774i | ||||
\(909\) | 4.82140 | − | 15.8436i | 0.159916 | − | 0.525499i | ||||
\(910\) | 72.0542 | + | 37.0600i | 2.38857 | + | 1.22853i | ||||
\(911\) | 8.52803 | − | 8.52803i | 0.282546 | − | 0.282546i | −0.551577 | − | 0.834124i | \(-0.685974\pi\) |
0.834124 | + | 0.551577i | \(0.185974\pi\) | |||||||
\(912\) | 8.47692 | − | 0.116703i | 0.280699 | − | 0.00386442i | ||||
\(913\) | 7.69671 | + | 7.69671i | 0.254724 | + | 0.254724i | ||||
\(914\) | −16.4029 | − | 51.1454i | −0.542561 | − | 1.69174i | ||||
\(915\) | 49.5478 | + | 12.4344i | 1.63800 | + | 0.411067i | ||||
\(916\) | 21.5199 | − | 0.681284i | 0.711038 | − | 0.0225102i | ||||
\(917\) | −22.4409 | + | 33.5851i | −0.741062 | + | 1.10908i | ||||
\(918\) | 22.8686 | + | 0.791319i | 0.754778 | + | 0.0261174i | ||||
\(919\) | −1.87640 | + | 4.53004i | −0.0618968 | + | 0.149432i | −0.951802 | − | 0.306714i | \(-0.900771\pi\) |
0.889905 | + | 0.456146i | \(0.150771\pi\) | |||||||
\(920\) | 33.6332 | − | 11.9729i | 1.10886 | − | 0.394735i | ||||
\(921\) | 12.7472 | + | 35.6757i | 0.420034 | + | 1.17555i | ||||
\(922\) | −19.5974 | − | 35.3086i | −0.645406 | − | 1.16283i | ||||
\(923\) | 14.6139 | + | 73.4689i | 0.481022 | + | 2.41826i | ||||
\(924\) | −15.7926 | + | 2.84879i | −0.519540 | + | 0.0937184i | ||||
\(925\) | 20.3386 | + | 30.4389i | 0.668729 | + | 1.00082i | ||||
\(926\) | 33.9347 | + | 2.80089i | 1.11516 | + | 0.0920428i | ||||
\(927\) | 46.4020 | + | 4.61161i | 1.52404 | + | 0.151465i | ||||
\(928\) | −8.97306 | + | 12.8905i | −0.294555 | + | 0.423150i | ||||
\(929\) | −35.4023 | −1.16151 | −0.580756 | − | 0.814078i | \(-0.697243\pi\) | ||||
−0.580756 | + | 0.814078i | \(0.697243\pi\) | |||||||
\(930\) | −35.9041 | − | 4.76268i | −1.17734 | − | 0.156174i | ||||
\(931\) | 1.77809 | − | 1.18808i | 0.0582744 | − | 0.0389377i | ||||
\(932\) | −23.2988 | − | 14.5229i | −0.763176 | − | 0.475714i | ||||
\(933\) | 1.11837 | + | 7.56246i | 0.0366138 | + | 0.247584i | ||||
\(934\) | −10.1971 | − | 18.3722i | −0.333660 | − | 0.601155i | ||||
\(935\) | −21.9909 | + | 9.10893i | −0.719179 | + | 0.297894i | ||||
\(936\) | 55.4658 | + | 8.36932i | 1.81296 | + | 0.273560i | ||||
\(937\) | −40.1504 | − | 16.6308i | −1.31166 | − | 0.543305i | −0.386289 | − | 0.922378i | \(-0.626243\pi\) |
−0.925367 | + | 0.379073i | \(0.876243\pi\) | |||||||
\(938\) | −21.5537 | + | 2.46779i | −0.703754 | + | 0.0805763i | ||||
\(939\) | 14.4982 | + | 10.7625i | 0.473131 | + | 0.351222i | ||||
\(940\) | −40.7590 | − | 38.2575i | −1.32941 | − | 1.24782i | ||||
\(941\) | 28.2642 | + | 5.62211i | 0.921388 | + | 0.183275i | 0.632923 | − | 0.774215i | \(-0.281855\pi\) |
0.288465 | + | 0.957490i | \(0.406855\pi\) | |||||||
\(942\) | 34.1645 | − | 9.11847i | 1.11314 | − | 0.297096i | ||||
\(943\) | −5.24359 | + | 5.24359i | −0.170755 | + | 0.170755i | ||||
\(944\) | −3.77896 | − | 0.505794i | −0.122995 | − | 0.0164622i | ||||
\(945\) | −36.2075 | + | 26.7790i | −1.17783 | + | 0.871121i | ||||
\(946\) | −17.2650 | − | 8.88000i | −0.561334 | − | 0.288714i | ||||
\(947\) | −21.6585 | − | 4.30815i | −0.703808 | − | 0.139996i | −0.169804 | − | 0.985478i | \(-0.554313\pi\) |
−0.534004 | + | 0.845482i | \(0.679313\pi\) | |||||||
\(948\) | −14.9545 | + | 34.3529i | −0.485701 | + | 1.11573i | ||||
\(949\) | −12.7102 | + | 19.0221i | −0.412590 | + | 0.617485i | ||||
\(950\) | −10.0128 | + | 12.6021i | −0.324858 | + | 0.408866i | ||||
\(951\) | 2.82503 | + | 1.33767i | 0.0916080 | + | 0.0433769i | ||||
\(952\) | −19.9712 | + | 2.92947i | −0.647270 | + | 0.0949448i | ||||
\(953\) | 38.6427 | − | 16.0063i | 1.25176 | − | 0.518496i | 0.344389 | − | 0.938827i | \(-0.388086\pi\) |
0.907371 | + | 0.420331i | \(0.138086\pi\) | |||||||
\(954\) | 16.7870 | − | 42.3043i | 0.543500 | − | 1.36965i | ||||
\(955\) | −13.7379 | − | 69.0648i | −0.444546 | − | 2.23489i | ||||
\(956\) | 33.2096 | − | 23.7435i | 1.07407 | − | 0.767921i | ||||
\(957\) | −4.99369 | − | 8.33982i | −0.161423 | − | 0.269588i | ||||
\(958\) | −39.0847 | − | 46.1171i | −1.26277 | − | 1.48997i | ||||
\(959\) | 37.0623 | 1.19681 | ||||||||
\(960\) | −50.8765 | + | 12.5455i | −1.64203 | + | 0.404904i | ||||
\(961\) | −15.7123 | −0.506848 | ||||||||
\(962\) | 23.7909 | + | 28.0714i | 0.767048 | + | 0.905060i | ||||
\(963\) | 28.4461 | − | 15.1724i | 0.916662 | − | 0.488925i | ||||
\(964\) | 2.51886 | + | 3.52307i | 0.0811269 | + | 0.113470i | ||||
\(965\) | 6.16978 | + | 31.0176i | 0.198612 | + | 0.998492i | ||||
\(966\) | −6.04022 | + | 17.7368i | −0.194341 | + | 0.570671i | ||||
\(967\) | 34.3125 | − | 14.2127i | 1.10342 | − | 0.457049i | 0.244750 | − | 0.969586i | \(-0.421294\pi\) |
0.858665 | + | 0.512537i | \(0.171294\pi\) | |||||||
\(968\) | −11.6750 | + | 15.6889i | −0.375249 | + | 0.504260i | ||||
\(969\) | −2.82436 | + | 5.96479i | −0.0907315 | + | 0.191617i | ||||
\(970\) | −13.4824 | + | 16.9689i | −0.432893 | + | 0.544838i | ||||
\(971\) | 28.7849 | − | 43.0797i | 0.923752 | − | 1.38249i | −0.000205948 | − | 1.00000i | \(-0.500066\pi\) |
0.923958 | − | 0.382493i | \(-0.124934\pi\) | |||||||
\(972\) | −17.8269 | + | 25.5773i | −0.571799 | + | 0.820394i | ||||
\(973\) | −27.0641 | − | 5.38338i | −0.867634 | − | 0.172583i | ||||
\(974\) | −22.8857 | − | 11.7709i | −0.733305 | − | 0.377165i | ||||
\(975\) | −78.9417 | + | 71.4851i | −2.52816 | + | 2.28935i | ||||
\(976\) | −30.1505 | + | 8.00923i | −0.965095 | + | 0.256369i | ||||
\(977\) | −21.4346 | + | 21.4346i | −0.685755 | + | 0.685755i | −0.961291 | − | 0.275536i | \(-0.911145\pi\) |
0.275536 | + | 0.961291i | \(0.411145\pi\) | |||||||
\(978\) | 2.15730 | + | 8.08283i | 0.0689828 | + | 0.258461i | ||||
\(979\) | 10.4946 | + | 2.08750i | 0.335408 | + | 0.0667168i | ||||
\(980\) | −9.04604 | + | 9.63753i | −0.288965 | + | 0.307860i | ||||
\(981\) | 23.9041 | + | 19.6529i | 0.763198 | + | 0.627470i | ||||
\(982\) | 22.0558 | − | 2.52527i | 0.703827 | − | 0.0805847i | ||||
\(983\) | −5.07943 | − | 2.10397i | −0.162009 | − | 0.0671062i | 0.300205 | − | 0.953875i | \(-0.402945\pi\) |
−0.462214 | + | 0.886768i | \(0.652945\pi\) | |||||||
\(984\) | 8.42788 | − | 6.88761i | 0.268671 | − | 0.219569i | ||||
\(985\) | 50.8723 | − | 21.0720i | 1.62093 | − | 0.671410i | ||||
\(986\) | −5.93354 | − | 10.6905i | −0.188962 | − | 0.340454i | ||||
\(987\) | 29.0233 | − | 4.29209i | 0.923820 | − | 0.136619i | ||||
\(988\) | −8.55810 | + | 13.7295i | −0.272270 | + | 0.436795i | ||||
\(989\) | −18.8483 | + | 12.5941i | −0.599342 | + | 0.400468i | ||||
\(990\) | 5.85107 | − | 31.8988i | 0.185959 | − | 1.01381i | ||||
\(991\) | 30.2375 | 0.960525 | 0.480263 | − | 0.877125i | \(-0.340541\pi\) | ||||
0.480263 | + | 0.877125i | \(0.340541\pi\) | |||||||
\(992\) | 20.5920 | − | 8.07330i | 0.653795 | − | 0.256328i | ||||
\(993\) | 44.6792 | + | 2.21473i | 1.41785 | + | 0.0702825i | ||||
\(994\) | 36.6016 | + | 3.02101i | 1.16093 | + | 0.0958206i | ||||
\(995\) | 10.0262 | + | 15.0052i | 0.317851 | + | 0.475697i | ||||
\(996\) | −18.3577 | + | 3.31149i | −0.581685 | + | 0.104929i | ||||
\(997\) | −0.185550 | − | 0.932822i | −0.00587642 | − | 0.0295428i | 0.977736 | − | 0.209840i | \(-0.0672942\pi\) |
−0.983612 | + | 0.180297i | \(0.942294\pi\) | |||||||
\(998\) | 27.2629 | + | 49.1196i | 0.862993 | + | 1.55486i | ||||
\(999\) | −19.8454 | + | 4.94306i | −0.627880 | + | 0.156392i |
(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 | 192.2.s.a.179.6 | yes | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.179.25 | yes | 240 | |
4.3 | odd | 2 | 768.2.s.a.623.5 | 240 | |||
12.11 | even | 2 | 768.2.s.a.623.25 | 240 | |||
64.5 | even | 16 | 768.2.s.a.143.25 | 240 | |||
64.59 | odd | 16 | inner | 192.2.s.a.59.25 | yes | 240 | |
192.5 | odd | 16 | 768.2.s.a.143.5 | 240 | |||
192.59 | even | 16 | inner | 192.2.s.a.59.6 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.59.6 | ✓ | 240 | 192.59 | even | 16 | inner | |
192.2.s.a.59.25 | yes | 240 | 64.59 | odd | 16 | inner | |
192.2.s.a.179.6 | yes | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.179.25 | yes | 240 | 3.2 | odd | 2 | inner | |
768.2.s.a.143.5 | 240 | 192.5 | odd | 16 | |||
768.2.s.a.143.25 | 240 | 64.5 | even | 16 | |||
768.2.s.a.623.5 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.623.25 | 240 | 12.11 | even | 2 |