Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(4,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bs (of order \(30\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Character | \(\chi\) | \(=\) | 403.4 |
Dual form | 403.2.bs.a.101.4 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.502235 | + | 2.36283i | −0.355134 | + | 1.67077i | 0.331258 | + | 0.943540i | \(0.392527\pi\) |
−0.686392 | + | 0.727232i | \(0.740806\pi\) | |||||||
\(3\) | 0.181860 | + | 0.201976i | 0.104997 | + | 0.116611i | 0.793353 | − | 0.608763i | \(-0.208334\pi\) |
−0.688356 | + | 0.725373i | \(0.741667\pi\) | |||||||
\(4\) | −3.50363 | − | 1.55992i | −1.75181 | − | 0.779958i | ||||
\(5\) | − | 2.70808i | − | 1.21109i | −0.795810 | − | 0.605546i | \(-0.792955\pi\) | ||
0.795810 | − | 0.605546i | \(-0.207045\pi\) | |||||||
\(6\) | −0.568571 | + | 0.328265i | −0.232118 | + | 0.134014i | ||||
\(7\) | −0.369305 | + | 0.829472i | −0.139584 | + | 0.313511i | −0.969788 | − | 0.243949i | \(-0.921557\pi\) |
0.830204 | + | 0.557459i | \(0.188224\pi\) | |||||||
\(8\) | 2.60573 | − | 3.58648i | 0.921266 | − | 1.26801i | ||||
\(9\) | 0.305864 | − | 2.91010i | 0.101955 | − | 0.970034i | ||||
\(10\) | 6.39874 | + | 1.36009i | 2.02346 | + | 0.430099i | ||||
\(11\) | 3.33873 | − | 0.350915i | 1.00667 | − | 0.105805i | 0.413180 | − | 0.910649i | \(-0.364418\pi\) |
0.593486 | + | 0.804844i | \(0.297751\pi\) | |||||||
\(12\) | −0.322104 | − | 0.991336i | −0.0929836 | − | 0.286174i | ||||
\(13\) | 0.564544 | − | 3.56108i | 0.156576 | − | 0.987666i | ||||
\(14\) | −1.77442 | − | 1.28919i | −0.474234 | − | 0.344551i | ||||
\(15\) | 0.546968 | − | 0.492492i | 0.141227 | − | 0.127161i | ||||
\(16\) | 2.03306 | + | 2.25794i | 0.508265 | + | 0.564485i | ||||
\(17\) | −0.346673 | + | 3.29837i | −0.0840805 | + | 0.799973i | 0.868501 | + | 0.495688i | \(0.165084\pi\) |
−0.952581 | + | 0.304285i | \(0.901583\pi\) | |||||||
\(18\) | 6.72246 | + | 2.18426i | 1.58450 | + | 0.514835i | ||||
\(19\) | 2.06233 | + | 1.85693i | 0.473131 | + | 0.426009i | 0.870888 | − | 0.491482i | \(-0.163545\pi\) |
−0.397757 | + | 0.917491i | \(0.630211\pi\) | |||||||
\(20\) | −4.22438 | + | 9.48812i | −0.944601 | + | 2.12161i | ||||
\(21\) | −0.234695 | + | 0.0762571i | −0.0512147 | + | 0.0166407i | ||||
\(22\) | −0.847676 | + | 8.06510i | −0.180725 | + | 1.71948i | ||||
\(23\) | 6.12777 | − | 2.72826i | 1.27773 | − | 0.568881i | 0.348127 | − | 0.937447i | \(-0.386818\pi\) |
0.929602 | + | 0.368566i | \(0.120151\pi\) | |||||||
\(24\) | 1.19826 | − | 0.125942i | 0.244594 | − | 0.0257079i | ||||
\(25\) | −2.33371 | −0.466743 | ||||||||
\(26\) | 8.13069 | + | 3.12242i | 1.59456 | + | 0.612357i | ||||
\(27\) | 1.30303 | − | 0.946709i | 0.250769 | − | 0.182194i | ||||
\(28\) | 2.58781 | − | 2.33008i | 0.489051 | − | 0.440343i | ||||
\(29\) | −5.27619 | − | 1.12149i | −0.979764 | − | 0.208255i | −0.309924 | − | 0.950761i | \(-0.600304\pi\) |
−0.669839 | + | 0.742506i | \(0.733637\pi\) | |||||||
\(30\) | 0.888968 | + | 1.53974i | 0.162303 | + | 0.281116i | ||||
\(31\) | −0.522466 | − | 5.54320i | −0.0938377 | − | 0.995588i | ||||
\(32\) | 1.32222 | − | 0.763385i | 0.233738 | − | 0.134949i | ||||
\(33\) | 0.678059 | + | 0.610527i | 0.118035 | + | 0.106279i | ||||
\(34\) | −7.61938 | − | 2.47569i | −1.30671 | − | 0.424577i | ||||
\(35\) | 2.24628 | + | 1.00011i | 0.379690 | + | 0.169049i | ||||
\(36\) | −5.61115 | + | 9.71880i | −0.935192 | + | 1.61980i | ||||
\(37\) | 0.883690 | + | 0.510198i | 0.145278 | + | 0.0838761i | 0.570877 | − | 0.821036i | \(-0.306603\pi\) |
−0.425599 | + | 0.904912i | \(0.639937\pi\) | |||||||
\(38\) | −5.42338 | + | 3.94032i | −0.879789 | + | 0.639204i | ||||
\(39\) | 0.821921 | − | 0.533594i | 0.131613 | − | 0.0854434i | ||||
\(40\) | −9.71250 | − | 7.05654i | −1.53568 | − | 1.11574i | ||||
\(41\) | −0.104186 | + | 0.490157i | −0.0162711 | + | 0.0765496i | −0.985534 | − | 0.169478i | \(-0.945792\pi\) |
0.969263 | + | 0.246027i | \(0.0791253\pi\) | |||||||
\(42\) | −0.0623104 | − | 0.592843i | −0.00961470 | − | 0.0914777i | ||||
\(43\) | −1.24301 | + | 1.38051i | −0.189558 | + | 0.210525i | −0.830431 | − | 0.557122i | \(-0.811906\pi\) |
0.640873 | + | 0.767647i | \(0.278572\pi\) | |||||||
\(44\) | −12.2451 | − | 3.97867i | −1.84602 | − | 0.599807i | ||||
\(45\) | −7.88080 | − | 0.828306i | −1.17480 | − | 0.123477i | ||||
\(46\) | 3.36883 | + | 15.8491i | 0.496707 | + | 2.33682i | ||||
\(47\) | −0.594623 | − | 0.193205i | −0.0867347 | − | 0.0281818i | 0.265328 | − | 0.964158i | \(-0.414520\pi\) |
−0.352063 | + | 0.935976i | \(0.614520\pi\) | |||||||
\(48\) | −0.0863177 | + | 0.821258i | −0.0124589 | + | 0.118538i | ||||
\(49\) | 4.13228 | + | 4.58936i | 0.590325 | + | 0.655623i | ||||
\(50\) | 1.17207 | − | 5.51417i | 0.165756 | − | 0.779821i | ||||
\(51\) | −0.729238 | + | 0.529823i | −0.102114 | + | 0.0741900i | ||||
\(52\) | −7.53294 | + | 11.5961i | −1.04463 | + | 1.60808i | ||||
\(53\) | −10.9676 | − | 7.96844i | −1.50652 | − | 1.09455i | −0.967693 | − | 0.252131i | \(-0.918869\pi\) |
−0.538825 | − | 0.842418i | \(-0.681131\pi\) | |||||||
\(54\) | 1.58248 | + | 3.55431i | 0.215349 | + | 0.483681i | ||||
\(55\) | −0.950307 | − | 9.04157i | −0.128139 | − | 1.21916i | ||||
\(56\) | 2.01258 | + | 3.48589i | 0.268942 | + | 0.465821i | ||||
\(57\) | 0.754243i | 0.0999019i | ||||||||
\(58\) | 5.29977 | − | 11.9035i | 0.695894 | − | 1.56300i | ||||
\(59\) | −2.39527 | − | 11.2689i | −0.311837 | − | 1.46708i | −0.802983 | − | 0.596002i | \(-0.796755\pi\) |
0.491145 | − | 0.871078i | \(-0.336578\pi\) | |||||||
\(60\) | −2.68462 | + | 0.872286i | −0.346583 | + | 0.112612i | ||||
\(61\) | 2.75542 | + | 4.77253i | 0.352795 | + | 0.611059i | 0.986738 | − | 0.162321i | \(-0.0518979\pi\) |
−0.633943 | + | 0.773380i | \(0.718565\pi\) | |||||||
\(62\) | 13.3600 | + | 1.54949i | 1.69672 | + | 0.196785i | ||||
\(63\) | 2.30089 | + | 1.32842i | 0.289885 | + | 0.167365i | ||||
\(64\) | 3.01749 | + | 9.28688i | 0.377186 | + | 1.16086i | ||||
\(65\) | −9.64370 | − | 1.52883i | −1.19615 | − | 0.189628i | ||||
\(66\) | −1.78312 | + | 1.29551i | −0.219486 | + | 0.159466i | ||||
\(67\) | 9.17752 | + | 5.29865i | 1.12121 | + | 0.647333i | 0.941710 | − | 0.336425i | \(-0.109218\pi\) |
0.179503 | + | 0.983757i | \(0.442551\pi\) | |||||||
\(68\) | 6.35980 | − | 11.0155i | 0.771239 | − | 1.33582i | ||||
\(69\) | 1.66544 | + | 0.741502i | 0.200495 | + | 0.0892663i | ||||
\(70\) | −3.49124 | + | 4.80528i | −0.417283 | + | 0.574341i | ||||
\(71\) | −5.24185 | − | 0.550941i | −0.622093 | − | 0.0653846i | −0.211762 | − | 0.977321i | \(-0.567920\pi\) |
−0.410331 | + | 0.911937i | \(0.634587\pi\) | |||||||
\(72\) | −9.64004 | − | 8.67993i | −1.13609 | − | 1.02294i | ||||
\(73\) | 5.83036 | + | 8.02480i | 0.682392 | + | 0.939231i | 0.999959 | − | 0.00900409i | \(-0.00286613\pi\) |
−0.317568 | + | 0.948236i | \(0.602866\pi\) | |||||||
\(74\) | −1.64933 | + | 1.83177i | −0.191731 | + | 0.212939i | ||||
\(75\) | −0.424410 | − | 0.471355i | −0.0490066 | − | 0.0544273i | ||||
\(76\) | −4.32899 | − | 9.72306i | −0.496569 | − | 1.11531i | ||||
\(77\) | −0.941935 | + | 2.89898i | −0.107344 | + | 0.330369i | ||||
\(78\) | 0.847994 | + | 2.21005i | 0.0960164 | + | 0.250239i | ||||
\(79\) | −3.83936 | − | 2.78946i | −0.431961 | − | 0.313838i | 0.350471 | − | 0.936573i | \(-0.386021\pi\) |
−0.782433 | + | 0.622735i | \(0.786021\pi\) | |||||||
\(80\) | 6.11469 | − | 5.50569i | 0.683643 | − | 0.615555i | ||||
\(81\) | −8.15839 | − | 1.73412i | −0.906487 | − | 0.192680i | ||||
\(82\) | −1.10583 | − | 0.492348i | −0.122119 | − | 0.0543707i | ||||
\(83\) | 10.4120 | − | 3.38305i | 1.14286 | − | 0.371338i | 0.324411 | − | 0.945916i | \(-0.394834\pi\) |
0.818450 | + | 0.574578i | \(0.194834\pi\) | |||||||
\(84\) | 0.941239 | + | 0.0989283i | 0.102698 | + | 0.0107940i | ||||
\(85\) | 8.93227 | + | 0.938819i | 0.968841 | + | 0.101829i | ||||
\(86\) | −2.63761 | − | 3.63037i | −0.284421 | − | 0.391472i | ||||
\(87\) | −0.733014 | − | 1.26962i | −0.0785874 | − | 0.136117i | ||||
\(88\) | 7.44130 | − | 12.8887i | 0.793245 | − | 1.37394i | ||||
\(89\) | 1.67100 | − | 0.175629i | 0.177125 | − | 0.0186166i | −0.0155505 | − | 0.999879i | \(-0.504950\pi\) |
0.192676 | + | 0.981262i | \(0.438283\pi\) | |||||||
\(90\) | 5.91516 | − | 18.2050i | 0.623512 | − | 1.91897i | ||||
\(91\) | 2.74533 | + | 1.78340i | 0.287788 | + | 0.186951i | ||||
\(92\) | −25.7253 | −2.68205 | ||||||||
\(93\) | 1.02458 | − | 1.11361i | 0.106244 | − | 0.115476i | ||||
\(94\) | 0.755150 | − | 1.30796i | 0.0778878 | − | 0.134906i | ||||
\(95\) | 5.02872 | − | 5.58496i | 0.515936 | − | 0.573005i | ||||
\(96\) | 0.394645 | + | 0.128228i | 0.0402783 | + | 0.0130872i | ||||
\(97\) | 1.64196 | − | 3.68790i | 0.166716 | − | 0.374449i | −0.810797 | − | 0.585328i | \(-0.800966\pi\) |
0.977512 | + | 0.210879i | \(0.0676324\pi\) | |||||||
\(98\) | −12.9192 | + | 7.45893i | −1.30504 | + | 0.753465i | ||||
\(99\) | − | 9.82339i | − | 0.987288i | ||||||
\(100\) | 8.17647 | + | 3.64040i | 0.817647 | + | 0.364040i | ||||
\(101\) | −3.28264 | + | 1.46152i | −0.326635 | + | 0.145427i | −0.563502 | − | 0.826115i | \(-0.690546\pi\) |
0.236867 | + | 0.971542i | \(0.423879\pi\) | |||||||
\(102\) | −0.885631 | − | 1.98916i | −0.0876906 | − | 0.196956i | ||||
\(103\) | 3.35929 | + | 10.3388i | 0.331000 | + | 1.01871i | 0.968659 | + | 0.248395i | \(0.0799032\pi\) |
−0.637658 | + | 0.770319i | \(0.720097\pi\) | |||||||
\(104\) | −11.3007 | − | 11.3040i | −1.10813 | − | 1.10844i | ||||
\(105\) | 0.206511 | + | 0.635574i | 0.0201534 | + | 0.0620257i | ||||
\(106\) | 24.3364 | − | 21.9126i | 2.36376 | − | 2.12834i | ||||
\(107\) | −3.39120 | + | 1.50986i | −0.327840 | + | 0.145964i | −0.564055 | − | 0.825737i | \(-0.690759\pi\) |
0.236216 | + | 0.971701i | \(0.424093\pi\) | |||||||
\(108\) | −6.04213 | + | 1.28429i | −0.581404 | + | 0.123581i | ||||
\(109\) | 6.56710 | + | 2.13378i | 0.629014 | + | 0.204379i | 0.606138 | − | 0.795359i | \(-0.292718\pi\) |
0.0228758 | + | 0.999738i | \(0.492718\pi\) | |||||||
\(110\) | 21.8410 | + | 2.29558i | 2.08245 | + | 0.218875i | ||||
\(111\) | 0.0576600 | + | 0.271269i | 0.00547284 | + | 0.0257477i | ||||
\(112\) | −2.62371 | + | 0.852497i | −0.247918 | + | 0.0805534i | ||||
\(113\) | 14.5214 | + | 6.46535i | 1.36606 | + | 0.608209i | 0.953132 | − | 0.302555i | \(-0.0978396\pi\) |
0.412928 | + | 0.910764i | \(0.364506\pi\) | |||||||
\(114\) | −1.78215 | − | 0.378807i | −0.166913 | − | 0.0354785i | ||||
\(115\) | −7.38835 | − | 16.5945i | −0.688968 | − | 1.54745i | ||||
\(116\) | 16.7364 | + | 12.1597i | 1.55393 | + | 1.12900i | ||||
\(117\) | −10.1904 | − | 2.73209i | −0.942106 | − | 0.252582i | ||||
\(118\) | 27.8294 | 2.56190 | ||||||||
\(119\) | −2.60788 | − | 1.50566i | −0.239064 | − | 0.138024i | ||||
\(120\) | −0.341063 | − | 3.24499i | −0.0311346 | − | 0.296226i | ||||
\(121\) | 0.264377 | − | 0.0561951i | 0.0240343 | − | 0.00510865i | ||||
\(122\) | −12.6605 | + | 4.11365i | −1.14623 | + | 0.372433i | ||||
\(123\) | −0.117947 | + | 0.0680969i | −0.0106349 | + | 0.00614009i | ||||
\(124\) | −6.81640 | + | 20.2363i | −0.612130 | + | 1.81727i | ||||
\(125\) | − | 7.22052i | − | 0.645823i | ||||||
\(126\) | −4.29442 | + | 4.76943i | −0.382577 | + | 0.424895i | ||||
\(127\) | 7.10537 | + | 7.89131i | 0.630500 | + | 0.700241i | 0.970750 | − | 0.240094i | \(-0.0771784\pi\) |
−0.340250 | + | 0.940335i | \(0.610512\pi\) | |||||||
\(128\) | −20.4220 | + | 2.14644i | −1.80507 | + | 0.189720i | ||||
\(129\) | −0.504884 | −0.0444525 | ||||||||
\(130\) | 8.45577 | − | 22.0186i | 0.741620 | − | 1.93116i | ||||
\(131\) | −17.3083 | + | 12.5752i | −1.51223 | + | 1.09870i | −0.547059 | + | 0.837094i | \(0.684253\pi\) |
−0.965174 | + | 0.261608i | \(0.915747\pi\) | |||||||
\(132\) | −1.42330 | − | 3.19677i | −0.123882 | − | 0.278244i | ||||
\(133\) | −2.30190 | + | 1.02487i | −0.199600 | + | 0.0888677i | ||||
\(134\) | −17.1291 | + | 19.0238i | −1.47973 | + | 1.64340i | ||||
\(135\) | −2.56377 | − | 3.52872i | −0.220654 | − | 0.303704i | ||||
\(136\) | 10.9262 | + | 9.83802i | 0.936916 | + | 0.843603i | ||||
\(137\) | −3.45440 | − | 16.2517i | −0.295130 | − | 1.38848i | −0.836627 | − | 0.547773i | \(-0.815476\pi\) |
0.541497 | − | 0.840702i | \(-0.317858\pi\) | |||||||
\(138\) | −2.58848 | + | 3.56274i | −0.220346 | + | 0.303281i | ||||
\(139\) | −18.1880 | + | 3.86598i | −1.54269 | + | 0.327908i | −0.899196 | − | 0.437547i | \(-0.855848\pi\) |
−0.643490 | + | 0.765455i | \(0.722514\pi\) | |||||||
\(140\) | −6.31004 | − | 7.00801i | −0.533296 | − | 0.592285i | ||||
\(141\) | −0.0691155 | − | 0.155236i | −0.00582057 | − | 0.0130732i | ||||
\(142\) | 3.93442 | − | 12.1089i | 0.330169 | − | 1.01616i | ||||
\(143\) | 0.635225 | − | 12.0876i | 0.0531202 | − | 1.01082i | ||||
\(144\) | 7.19268 | − | 5.22579i | 0.599390 | − | 0.435482i | ||||
\(145\) | −3.03708 | + | 14.2884i | −0.252216 | + | 1.18658i | ||||
\(146\) | −21.8894 | + | 9.74580i | −1.81158 | + | 0.806568i | ||||
\(147\) | −0.175444 | + | 1.66924i | −0.0144704 | + | 0.137677i | ||||
\(148\) | −2.30025 | − | 3.16603i | −0.189080 | − | 0.260246i | ||||
\(149\) | −11.4777 | + | 6.62666i | −0.940291 | + | 0.542877i | −0.890052 | − | 0.455860i | \(-0.849332\pi\) |
−0.0502395 | + | 0.998737i | \(0.515998\pi\) | |||||||
\(150\) | 1.32688 | − | 0.766076i | 0.108340 | − | 0.0625499i | ||||
\(151\) | 1.69130 | + | 2.32788i | 0.137636 | + | 0.189440i | 0.872271 | − | 0.489023i | \(-0.162647\pi\) |
−0.734635 | + | 0.678463i | \(0.762647\pi\) | |||||||
\(152\) | 12.0337 | − | 2.55785i | 0.976065 | − | 0.207469i | ||||
\(153\) | 9.49257 | + | 2.01771i | 0.767429 | + | 0.163122i | ||||
\(154\) | −6.37672 | − | 3.68160i | −0.513851 | − | 0.296672i | ||||
\(155\) | −15.0114 | + | 1.41488i | −1.20575 | + | 0.113646i | ||||
\(156\) | −3.71207 | + | 0.587387i | −0.297203 | + | 0.0470286i | ||||
\(157\) | 5.30882 | + | 16.3389i | 0.423690 | + | 1.30398i | 0.904243 | + | 0.427018i | \(0.140436\pi\) |
−0.480553 | + | 0.876965i | \(0.659564\pi\) | |||||||
\(158\) | 8.51927 | − | 7.67078i | 0.677756 | − | 0.610255i | ||||
\(159\) | −0.385137 | − | 3.66434i | −0.0305434 | − | 0.290601i | ||||
\(160\) | −2.06731 | − | 3.58069i | −0.163435 | − | 0.283078i | ||||
\(161\) | 6.09037i | 0.479988i | ||||||||
\(162\) | 8.19485 | − | 18.4059i | 0.643848 | − | 1.44611i | ||||
\(163\) | −7.85242 | − | 0.825323i | −0.615049 | − | 0.0646443i | −0.208119 | − | 0.978104i | \(-0.566734\pi\) |
−0.406930 | + | 0.913459i | \(0.633401\pi\) | |||||||
\(164\) | 1.12963 | − | 1.55481i | 0.0882095 | − | 0.121410i | ||||
\(165\) | 1.65336 | − | 1.83624i | 0.128714 | − | 0.142951i | ||||
\(166\) | 2.76432 | + | 26.3008i | 0.214553 | + | 2.04133i | ||||
\(167\) | 0.439060 | − | 2.06562i | 0.0339755 | − | 0.159842i | −0.957889 | − | 0.287138i | \(-0.907296\pi\) |
0.991865 | + | 0.127295i | \(0.0406296\pi\) | |||||||
\(168\) | −0.338058 | + | 1.04044i | −0.0260817 | + | 0.0802714i | ||||
\(169\) | −12.3626 | − | 4.02077i | −0.950968 | − | 0.309290i | ||||
\(170\) | −6.70436 | + | 20.6339i | −0.514201 | + | 1.58255i | ||||
\(171\) | 6.03465 | − | 5.43363i | 0.461481 | − | 0.415520i | ||||
\(172\) | 6.50853 | − | 2.89778i | 0.496271 | − | 0.220954i | ||||
\(173\) | −5.12494 | + | 1.08934i | −0.389642 | + | 0.0828210i | −0.398567 | − | 0.917139i | \(-0.630492\pi\) |
0.00892495 | + | 0.999960i | \(0.497159\pi\) | |||||||
\(174\) | 3.36803 | − | 1.09434i | 0.255330 | − | 0.0829618i | ||||
\(175\) | 0.861852 | − | 1.93575i | 0.0651499 | − | 0.146329i | ||||
\(176\) | 7.58018 | + | 6.82523i | 0.571378 | + | 0.514471i | ||||
\(177\) | 1.84043 | − | 2.53314i | 0.138336 | − | 0.190403i | ||||
\(178\) | −0.424252 | + | 4.03649i | −0.0317990 | + | 0.302547i | ||||
\(179\) | 1.74961 | + | 16.6465i | 0.130772 | + | 1.24422i | 0.841309 | + | 0.540555i | \(0.181786\pi\) |
−0.710536 | + | 0.703661i | \(0.751548\pi\) | |||||||
\(180\) | 26.3193 | + | 15.1955i | 1.96173 | + | 1.13260i | ||||
\(181\) | 7.98643 | 0.593626 | 0.296813 | − | 0.954936i | \(-0.404076\pi\) | ||||
0.296813 | + | 0.954936i | \(0.404076\pi\) | |||||||
\(182\) | −5.59266 | + | 5.59105i | −0.414555 | + | 0.414436i | ||||
\(183\) | −0.462835 | + | 1.42446i | −0.0342138 | + | 0.105299i | ||||
\(184\) | 6.18248 | − | 29.0863i | 0.455778 | − | 2.14427i | ||||
\(185\) | 1.38166 | − | 2.39311i | 0.101582 | − | 0.175945i | ||||
\(186\) | 2.11670 | + | 2.98020i | 0.155204 | + | 0.218519i | ||||
\(187\) | 11.1340i | 0.814202i | ||||||||
\(188\) | 1.78196 | + | 1.60448i | 0.129962 | + | 0.117019i | ||||
\(189\) | 0.304052 | + | 1.43045i | 0.0221165 | + | 0.104050i | ||||
\(190\) | 10.6707 | + | 14.6870i | 0.774135 | + | 1.06551i | ||||
\(191\) | −3.40619 | − | 5.89970i | −0.246463 | − | 0.426887i | 0.716079 | − | 0.698020i | \(-0.245935\pi\) |
−0.962542 | + | 0.271132i | \(0.912602\pi\) | |||||||
\(192\) | −1.32697 | + | 2.29837i | −0.0957656 | + | 0.165871i | ||||
\(193\) | 14.6939 | − | 1.54439i | 1.05769 | − | 0.111168i | 0.440321 | − | 0.897840i | \(-0.354865\pi\) |
0.617371 | + | 0.786672i | \(0.288198\pi\) | |||||||
\(194\) | 7.88923 | + | 5.73186i | 0.566413 | + | 0.411523i | ||||
\(195\) | −1.44502 | − | 2.22583i | −0.103480 | − | 0.159395i | ||||
\(196\) | −7.31895 | − | 22.5254i | −0.522782 | − | 1.60896i | ||||
\(197\) | 1.89150 | − | 0.198805i | 0.134764 | − | 0.0141642i | −0.0369064 | − | 0.999319i | \(-0.511750\pi\) |
0.171670 | + | 0.985154i | \(0.445084\pi\) | |||||||
\(198\) | 23.2110 | + | 4.93365i | 1.64953 | + | 0.350619i | ||||
\(199\) | 0.149457 | − | 0.0317681i | 0.0105947 | − | 0.00225198i | −0.202611 | − | 0.979259i | \(-0.564943\pi\) |
0.213206 | + | 0.977007i | \(0.431609\pi\) | |||||||
\(200\) | −6.08104 | + | 8.36983i | −0.429994 | + | 0.591836i | ||||
\(201\) | 0.598825 | + | 2.81725i | 0.0422379 | + | 0.198714i | ||||
\(202\) | −1.80468 | − | 8.49034i | −0.126977 | − | 0.597378i | ||||
\(203\) | 2.87876 | − | 3.96228i | 0.202050 | − | 0.278097i | ||||
\(204\) | 3.38146 | − | 0.718751i | 0.236750 | − | 0.0503227i | ||||
\(205\) | 1.32739 | + | 0.282144i | 0.0927086 | + | 0.0197058i | ||||
\(206\) | −26.1160 | + | 2.74490i | −1.81959 | + | 0.191247i | ||||
\(207\) | −6.06525 | − | 18.6669i | −0.421564 | − | 1.29744i | ||||
\(208\) | 9.18845 | − | 5.96518i | 0.637105 | − | 0.413611i | ||||
\(209\) | 7.53720 | + | 5.47610i | 0.521359 | + | 0.378789i | ||||
\(210\) | −1.60547 | + | 0.168742i | −0.110788 | + | 0.0116443i | ||||
\(211\) | 1.17349 | − | 2.03255i | 0.0807865 | − | 0.139926i | −0.822801 | − | 0.568329i | \(-0.807590\pi\) |
0.903588 | + | 0.428403i | \(0.140923\pi\) | |||||||
\(212\) | 25.9964 | + | 45.0270i | 1.78544 | + | 3.09247i | ||||
\(213\) | −0.842006 | − | 1.15892i | −0.0576933 | − | 0.0794081i | ||||
\(214\) | −1.86436 | − | 8.77113i | −0.127445 | − | 0.599582i | ||||
\(215\) | 3.73852 | + | 3.36618i | 0.254965 | + | 0.229572i | ||||
\(216\) | − | 7.14018i | − | 0.485828i | ||||||
\(217\) | 4.79087 | + | 1.61376i | 0.325226 | + | 0.109549i | ||||
\(218\) | −8.33998 | + | 14.4453i | −0.564855 | + | 0.978358i | ||||
\(219\) | −0.560508 | + | 2.63698i | −0.0378756 | + | 0.178191i | ||||
\(220\) | −10.7746 | + | 33.1607i | −0.726421 | + | 2.23569i | ||||
\(221\) | 11.5501 | + | 3.09661i | 0.776941 | + | 0.208300i | ||||
\(222\) | −0.669921 | −0.0449621 | ||||||||
\(223\) | −8.79785 | − | 5.07944i | −0.589147 | − | 0.340144i | 0.175613 | − | 0.984459i | \(-0.443809\pi\) |
−0.764760 | + | 0.644315i | \(0.777143\pi\) | |||||||
\(224\) | 0.144904 | + | 1.37867i | 0.00968179 | + | 0.0921161i | ||||
\(225\) | −0.713800 | + | 6.79135i | −0.0475866 | + | 0.452757i | ||||
\(226\) | −22.5697 | + | 31.0645i | −1.50131 | + | 2.06638i | ||||
\(227\) | 5.59817 | + | 5.04062i | 0.371564 | + | 0.334557i | 0.833666 | − | 0.552269i | \(-0.186238\pi\) |
−0.462102 | + | 0.886827i | \(0.652905\pi\) | |||||||
\(228\) | 1.17656 | − | 2.64259i | 0.0779193 | − | 0.175010i | ||||
\(229\) | −24.5860 | + | 7.98847i | −1.62469 | + | 0.527893i | −0.973042 | − | 0.230629i | \(-0.925922\pi\) |
−0.651647 | + | 0.758523i | \(0.725922\pi\) | |||||||
\(230\) | 42.9207 | − | 9.12307i | 2.83011 | − | 0.601558i | ||||
\(231\) | −0.756825 | + | 0.336960i | −0.0497954 | + | 0.0221703i | ||||
\(232\) | −17.7705 | + | 16.0007i | −1.16669 | + | 1.05050i | ||||
\(233\) | −4.61962 | + | 14.2177i | −0.302641 | + | 0.931434i | 0.677906 | + | 0.735149i | \(0.262888\pi\) |
−0.980547 | + | 0.196285i | \(0.937112\pi\) | |||||||
\(234\) | 11.5734 | − | 22.7061i | 0.756580 | − | 1.48434i | ||||
\(235\) | −0.523215 | + | 1.61029i | −0.0341308 | + | 0.105044i | ||||
\(236\) | −9.18633 | + | 43.2183i | −0.597979 | + | 2.81327i | ||||
\(237\) | −0.134822 | − | 1.28275i | −0.00875765 | − | 0.0833235i | ||||
\(238\) | 4.86738 | − | 5.40578i | 0.315506 | − | 0.350404i | ||||
\(239\) | 5.62852 | − | 7.74699i | 0.364078 | − | 0.501111i | −0.587201 | − | 0.809441i | \(-0.699770\pi\) |
0.951279 | + | 0.308330i | \(0.0997702\pi\) | |||||||
\(240\) | 2.22404 | + | 0.233756i | 0.143561 | + | 0.0150889i | ||||
\(241\) | −7.28995 | + | 16.3735i | −0.469587 | + | 1.05471i | 0.511170 | + | 0.859480i | \(0.329212\pi\) |
−0.980757 | + | 0.195231i | \(0.937454\pi\) | |||||||
\(242\) | 0.652901i | 0.0419701i | ||||||||
\(243\) | −3.54939 | − | 6.14772i | −0.227694 | − | 0.394377i | ||||
\(244\) | −2.20923 | − | 21.0194i | −0.141431 | − | 1.34563i | ||||
\(245\) | 12.4284 | − | 11.1906i | 0.794019 | − | 0.714938i | ||||
\(246\) | −0.101664 | − | 0.312890i | −0.00648186 | − | 0.0199491i | ||||
\(247\) | 7.77696 | − | 6.29581i | 0.494836 | − | 0.400593i | ||||
\(248\) | −21.2420 | − | 12.5703i | −1.34887 | − | 0.798213i | ||||
\(249\) | 2.57681 | + | 1.48772i | 0.163299 | + | 0.0942807i | ||||
\(250\) | 17.0609 | + | 3.62640i | 1.07902 | + | 0.229353i | ||||
\(251\) | 2.00040 | − | 0.425198i | 0.126264 | − | 0.0268382i | −0.144346 | − | 0.989527i | \(-0.546108\pi\) |
0.270610 | + | 0.962689i | \(0.412775\pi\) | |||||||
\(252\) | −5.98924 | − | 8.24349i | −0.377287 | − | 0.519291i | ||||
\(253\) | 19.5016 | − | 11.2593i | 1.22606 | − | 0.707864i | ||||
\(254\) | −22.2144 | + | 12.8255i | −1.39385 | + | 0.804742i | ||||
\(255\) | 1.43480 | + | 1.97484i | 0.0898509 | + | 0.123669i | ||||
\(256\) | 3.14357 | − | 29.9091i | 0.196473 | − | 1.86932i | ||||
\(257\) | −19.4603 | + | 8.66426i | −1.21390 | + | 0.540462i | −0.910939 | − | 0.412542i | \(-0.864641\pi\) |
−0.302959 | + | 0.953004i | \(0.597974\pi\) | |||||||
\(258\) | 0.253570 | − | 1.19295i | 0.0157866 | − | 0.0742700i | ||||
\(259\) | −0.749546 | + | 0.544577i | −0.0465745 | + | 0.0338384i | ||||
\(260\) | 31.4031 | + | 20.3998i | 1.94754 | + | 1.26514i | ||||
\(261\) | −4.87744 | + | 15.0112i | −0.301906 | + | 0.929172i | ||||
\(262\) | −21.0203 | − | 47.2123i | −1.29864 | − | 2.91678i | ||||
\(263\) | 17.1934 | + | 19.0952i | 1.06019 | + | 1.17746i | 0.983593 | + | 0.180401i | \(0.0577397\pi\) |
0.0765996 | + | 0.997062i | \(0.475594\pi\) | |||||||
\(264\) | 3.95648 | − | 0.840977i | 0.243505 | − | 0.0517585i | ||||
\(265\) | −21.5792 | + | 29.7012i | −1.32560 | + | 1.82453i | ||||
\(266\) | −1.26550 | − | 5.95372i | −0.0775929 | − | 0.365046i | ||||
\(267\) | 0.339360 | + | 0.305561i | 0.0207685 | + | 0.0187001i | ||||
\(268\) | −23.8892 | − | 32.8807i | −1.45927 | − | 2.00851i | ||||
\(269\) | 2.21810 | − | 2.46345i | 0.135240 | − | 0.150199i | −0.671721 | − | 0.740805i | \(-0.734444\pi\) |
0.806960 | + | 0.590606i | \(0.201111\pi\) | |||||||
\(270\) | 9.62538 | − | 4.28549i | 0.585782 | − | 0.260807i | ||||
\(271\) | 11.2107 | + | 25.1797i | 0.681002 | + | 1.52955i | 0.840182 | + | 0.542305i | \(0.182448\pi\) |
−0.159180 | + | 0.987250i | \(0.550885\pi\) | |||||||
\(272\) | −8.15233 | + | 5.92302i | −0.494308 | + | 0.359136i | ||||
\(273\) | 0.139062 | + | 0.878819i | 0.00841641 | + | 0.0531885i | ||||
\(274\) | 40.1349 | 2.42464 | ||||||||
\(275\) | −7.79165 | + | 0.818936i | −0.469854 | + | 0.0493837i | ||||
\(276\) | −4.67840 | − | 5.19589i | −0.281607 | − | 0.312756i | ||||
\(277\) | −1.82036 | + | 2.02171i | −0.109375 | + | 0.121473i | −0.795346 | − | 0.606156i | \(-0.792711\pi\) |
0.685971 | + | 0.727629i | \(0.259378\pi\) | |||||||
\(278\) | − | 44.9167i | − | 2.69393i | ||||||
\(279\) | −16.2911 | − | 0.175035i | −0.975321 | − | 0.0104791i | ||||
\(280\) | 9.44007 | − | 5.45023i | 0.564152 | − | 0.325713i | ||||
\(281\) | 21.9381 | − | 7.12811i | 1.30872 | − | 0.425227i | 0.430110 | − | 0.902776i | \(-0.358475\pi\) |
0.878605 | + | 0.477549i | \(0.158475\pi\) | |||||||
\(282\) | 0.401508 | − | 0.0853431i | 0.0239095 | − | 0.00508211i | ||||
\(283\) | −2.72213 | − | 25.8994i | −0.161814 | − | 1.53956i | −0.710601 | − | 0.703595i | \(-0.751577\pi\) |
0.548787 | − | 0.835962i | \(-0.315090\pi\) | |||||||
\(284\) | 17.5061 | + | 10.1071i | 1.03879 | + | 0.599748i | ||||
\(285\) | 2.04255 | 0.120990 | ||||||||
\(286\) | 28.2419 | + | 7.57174i | 1.66998 | + | 0.447727i | ||||
\(287\) | −0.368095 | − | 0.267436i | −0.0217279 | − | 0.0157863i | ||||
\(288\) | −1.81711 | − | 4.08129i | −0.107074 | − | 0.240493i | ||||
\(289\) | 5.86943 | + | 1.24759i | 0.345260 | + | 0.0733874i | ||||
\(290\) | −32.2356 | − | 14.3522i | −1.89294 | − | 0.842791i | ||||
\(291\) | 1.04347 | − | 0.339045i | 0.0611695 | − | 0.0198752i | ||||
\(292\) | −7.90940 | − | 37.2108i | −0.462862 | − | 2.17760i | ||||
\(293\) | 13.6626 | + | 1.43600i | 0.798178 | + | 0.0838919i | 0.494832 | − | 0.868989i | \(-0.335230\pi\) |
0.303346 | + | 0.952880i | \(0.401896\pi\) | |||||||
\(294\) | −3.85602 | − | 1.25290i | −0.224888 | − | 0.0730704i | ||||
\(295\) | −30.5170 | + | 6.48659i | −1.77677 | + | 0.377664i | ||||
\(296\) | 4.13248 | − | 1.83990i | 0.240195 | − | 0.106942i | ||||
\(297\) | 4.01827 | − | 3.61806i | 0.233163 | − | 0.209941i | ||||
\(298\) | −9.89316 | − | 30.4480i | −0.573095 | − | 1.76381i | ||||
\(299\) | −6.25615 | − | 23.3617i | −0.361803 | − | 1.35104i | ||||
\(300\) | 0.751700 | + | 2.31349i | 0.0433994 | + | 0.133570i | ||||
\(301\) | −0.686040 | − | 1.54087i | −0.0395427 | − | 0.0888143i | ||||
\(302\) | −6.34980 | + | 2.82711i | −0.365390 | + | 0.162682i | ||||
\(303\) | −0.892173 | − | 0.397221i | −0.0512540 | − | 0.0228198i | ||||
\(304\) | 8.43187i | 0.483601i | ||||||||
\(305\) | 12.9244 | − | 7.46190i | 0.740049 | − | 0.427267i | ||||
\(306\) | −9.53500 | + | 21.4160i | −0.545079 | + | 1.22427i | ||||
\(307\) | 23.4102 | + | 7.60642i | 1.33609 | + | 0.434121i | 0.887990 | − | 0.459863i | \(-0.152101\pi\) |
0.448098 | + | 0.893984i | \(0.352101\pi\) | |||||||
\(308\) | 7.82236 | − | 8.68761i | 0.445720 | − | 0.495022i | ||||
\(309\) | −1.47727 | + | 2.55871i | −0.0840392 | + | 0.145560i | ||||
\(310\) | 4.19614 | − | 36.1801i | 0.238325 | − | 2.05489i | ||||
\(311\) | 7.11541 | 0.403478 | 0.201739 | − | 0.979439i | \(-0.435341\pi\) | ||||
0.201739 | + | 0.979439i | \(0.435341\pi\) | |||||||
\(312\) | 0.227980 | − | 4.33821i | 0.0129069 | − | 0.245603i | ||||
\(313\) | −8.73818 | + | 26.8934i | −0.493911 | + | 1.52010i | 0.324735 | + | 0.945805i | \(0.394725\pi\) |
−0.818647 | + | 0.574298i | \(0.805275\pi\) | |||||||
\(314\) | −41.2722 | + | 4.33788i | −2.32913 | + | 0.244801i | ||||
\(315\) | 3.59747 | − | 6.23100i | 0.202695 | − | 0.351077i | ||||
\(316\) | 9.10037 | + | 15.7623i | 0.511936 | + | 0.886699i | ||||
\(317\) | −14.8309 | − | 20.4130i | −0.832988 | − | 1.14651i | −0.987360 | − | 0.158497i | \(-0.949335\pi\) |
0.154372 | − | 0.988013i | \(-0.450665\pi\) | |||||||
\(318\) | 8.85163 | + | 0.930344i | 0.496375 | + | 0.0521711i | ||||
\(319\) | −18.0093 | − | 1.89286i | −1.00833 | − | 0.105980i | ||||
\(320\) | 25.1496 | − | 8.17162i | 1.40591 | − | 0.456807i | ||||
\(321\) | −0.921679 | − | 0.410358i | −0.0514431 | − | 0.0229039i | ||||
\(322\) | −14.3905 | − | 3.05880i | −0.801951 | − | 0.170460i | ||||
\(323\) | −6.83981 | + | 6.15859i | −0.380577 | + | 0.342673i | ||||
\(324\) | 25.8789 | + | 18.8021i | 1.43772 | + | 1.04456i | ||||
\(325\) | −1.31748 | + | 8.31055i | −0.0730809 | + | 0.460986i | ||||
\(326\) | 5.89386 | − | 18.1394i | 0.326431 | − | 1.00465i | ||||
\(327\) | 0.763321 | + | 1.71445i | 0.0422117 | + | 0.0948091i | ||||
\(328\) | 1.48646 | + | 1.65088i | 0.0820759 | + | 0.0911546i | ||||
\(329\) | 0.379855 | − | 0.421872i | 0.0209421 | − | 0.0232585i | ||||
\(330\) | 3.50835 | + | 4.82882i | 0.193128 | + | 0.265818i | ||||
\(331\) | −10.8089 | − | 9.73236i | −0.594110 | − | 0.534939i | 0.316293 | − | 0.948661i | \(-0.397562\pi\) |
−0.910403 | + | 0.413723i | \(0.864228\pi\) | |||||||
\(332\) | −41.7569 | − | 4.38883i | −2.29171 | − | 0.240868i | ||||
\(333\) | 1.75502 | − | 2.41558i | 0.0961745 | − | 0.132373i | ||||
\(334\) | 4.66019 | + | 2.07485i | 0.254994 | + | 0.113531i | ||||
\(335\) | 14.3492 | − | 24.8535i | 0.783979 | − | 1.35789i | ||||
\(336\) | −0.649333 | − | 0.374892i | −0.0354240 | − | 0.0204521i | ||||
\(337\) | 6.10006 | − | 4.43195i | 0.332291 | − | 0.241424i | −0.409111 | − | 0.912485i | \(-0.634161\pi\) |
0.741402 | + | 0.671061i | \(0.234161\pi\) | |||||||
\(338\) | 15.7093 | − | 27.1913i | 0.854474 | − | 1.47901i | ||||
\(339\) | 1.33502 | + | 4.10877i | 0.0725083 | + | 0.223158i | ||||
\(340\) | −29.8309 | − | 17.2229i | −1.61781 | − | 0.934041i | ||||
\(341\) | −3.68957 | − | 18.3239i | −0.199801 | − | 0.992296i | ||||
\(342\) | 9.80792 | + | 16.9878i | 0.530351 | + | 0.918596i | ||||
\(343\) | −11.3775 | + | 3.69678i | −0.614329 | + | 0.199607i | ||||
\(344\) | 1.71220 | + | 8.05528i | 0.0923157 | + | 0.434311i | ||||
\(345\) | 2.00805 | − | 4.51015i | 0.108110 | − | 0.242818i | ||||
\(346\) | − | 12.6565i | − | 0.680416i | ||||||
\(347\) | −6.96974 | − | 12.0720i | −0.374155 | − | 0.648056i | 0.616045 | − | 0.787711i | \(-0.288734\pi\) |
−0.990200 | + | 0.139655i | \(0.955401\pi\) | |||||||
\(348\) | 0.587713 | + | 5.59171i | 0.0315047 | + | 0.299747i | ||||
\(349\) | −11.2645 | − | 25.3004i | −0.602972 | − | 1.35430i | −0.914703 | − | 0.404127i | \(-0.867575\pi\) |
0.311730 | − | 0.950171i | \(-0.399091\pi\) | |||||||
\(350\) | 4.14099 | + | 3.00861i | 0.221345 | + | 0.160817i | ||||
\(351\) | −2.63569 | − | 5.17466i | −0.140683 | − | 0.276203i | ||||
\(352\) | 4.14666 | − | 3.01273i | 0.221018 | − | 0.160579i | ||||
\(353\) | −5.72923 | + | 26.9539i | −0.304936 | + | 1.43461i | 0.512548 | + | 0.858659i | \(0.328702\pi\) |
−0.817484 | + | 0.575952i | \(0.804632\pi\) | |||||||
\(354\) | 5.06105 | + | 5.62086i | 0.268992 | + | 0.298746i | ||||
\(355\) | −1.49199 | + | 14.1954i | −0.0791868 | + | 0.753412i | ||||
\(356\) | −6.12852 | − | 1.99128i | −0.324811 | − | 0.105537i | ||||
\(357\) | −0.170162 | − | 0.800548i | −0.00900592 | − | 0.0423695i | ||||
\(358\) | −40.2115 | − | 4.22640i | −2.12524 | − | 0.223372i | ||||
\(359\) | 29.7536 | + | 9.66754i | 1.57034 | + | 0.510233i | 0.959544 | − | 0.281557i | \(-0.0908509\pi\) |
0.610793 | + | 0.791791i | \(0.290851\pi\) | |||||||
\(360\) | −23.5060 | + | 26.1060i | −1.23887 | + | 1.37591i | ||||
\(361\) | −1.18103 | − | 11.2367i | −0.0621592 | − | 0.591405i | ||||
\(362\) | −4.01106 | + | 18.8706i | −0.210817 | + | 0.991815i | ||||
\(363\) | 0.0594297 | + | 0.0431782i | 0.00311925 | + | 0.00226627i | ||||
\(364\) | −6.83666 | − | 10.5308i | −0.358338 | − | 0.551966i | ||||
\(365\) | 21.7318 | − | 15.7891i | 1.13750 | − | 0.826439i | ||||
\(366\) | −3.13330 | − | 1.80901i | −0.163780 | − | 0.0945587i | ||||
\(367\) | 1.43292 | − | 2.48188i | 0.0747976 | − | 0.129553i | −0.826201 | − | 0.563376i | \(-0.809502\pi\) |
0.900998 | + | 0.433823i | \(0.142836\pi\) | |||||||
\(368\) | 18.6184 | + | 8.28943i | 0.970549 | + | 0.432116i | ||||
\(369\) | 1.39454 | + | 0.453113i | 0.0725968 | + | 0.0235881i | ||||
\(370\) | 4.96058 | + | 4.46653i | 0.257888 | + | 0.232204i | ||||
\(371\) | 10.6600 | − | 6.15454i | 0.553439 | − | 0.319528i | ||||
\(372\) | −5.32688 | + | 2.30343i | −0.276186 | + | 0.119427i | ||||
\(373\) | −1.83806 | − | 3.18362i | −0.0951713 | − | 0.164842i | 0.814509 | − | 0.580151i | \(-0.197007\pi\) |
−0.909680 | + | 0.415310i | \(0.863673\pi\) | |||||||
\(374\) | −26.3078 | − | 5.59190i | −1.36035 | − | 0.289150i | ||||
\(375\) | 1.45837 | − | 1.31312i | 0.0753100 | − | 0.0678095i | ||||
\(376\) | −2.24235 | + | 1.62917i | −0.115641 | + | 0.0840178i | ||||
\(377\) | −6.97235 | + | 18.1558i | −0.359094 | + | 0.935071i | ||||
\(378\) | −3.53262 | −0.181698 | ||||||||
\(379\) | 34.9745 | − | 3.67597i | 1.79652 | − | 0.188822i | 0.853397 | − | 0.521261i | \(-0.174538\pi\) |
0.943125 | + | 0.332439i | \(0.107872\pi\) | |||||||
\(380\) | −26.3309 | + | 11.7233i | −1.35074 | + | 0.601390i | ||||
\(381\) | −0.301673 | + | 2.87023i | −0.0154552 | + | 0.147046i | ||||
\(382\) | 15.6507 | − | 5.08522i | 0.800759 | − | 0.260182i | ||||
\(383\) | −1.41237 | + | 3.17223i | −0.0721686 | + | 0.162093i | −0.946028 | − | 0.324086i | \(-0.894943\pi\) |
0.873859 | + | 0.486179i | \(0.161610\pi\) | |||||||
\(384\) | −4.14747 | − | 3.73440i | −0.211650 | − | 0.190570i | ||||
\(385\) | 7.85068 | + | 2.55084i | 0.400108 | + | 0.130003i | ||||
\(386\) | −3.73066 | + | 35.4949i | −0.189886 | + | 1.80664i | ||||
\(387\) | 3.63722 | + | 4.03954i | 0.184890 | + | 0.205342i | ||||
\(388\) | −11.5056 | + | 10.3597i | −0.584110 | + | 0.525935i | ||||
\(389\) | 6.82181 | + | 4.95634i | 0.345880 | + | 0.251296i | 0.747138 | − | 0.664668i | \(-0.231427\pi\) |
−0.401259 | + | 0.915965i | \(0.631427\pi\) | |||||||
\(390\) | 5.98499 | − | 2.29644i | 0.303062 | − | 0.116285i | ||||
\(391\) | 6.87448 | + | 21.1575i | 0.347658 | + | 1.06998i | ||||
\(392\) | 27.2273 | − | 2.86170i | 1.37518 | − | 0.144538i | ||||
\(393\) | −5.68758 | − | 1.20893i | −0.286901 | − | 0.0609826i | ||||
\(394\) | −0.480235 | + | 4.56914i | −0.0241939 | + | 0.230190i | ||||
\(395\) | −7.55408 | + | 10.3973i | −0.380087 | + | 0.523145i | ||||
\(396\) | −15.3237 | + | 34.4175i | −0.770043 | + | 1.72955i | ||||
\(397\) | 16.6547 | − | 9.61560i | 0.835876 | − | 0.482593i | −0.0199846 | − | 0.999800i | \(-0.506362\pi\) |
0.855860 | + | 0.517207i | \(0.173028\pi\) | |||||||
\(398\) | 0.369097i | 0.0185012i | ||||||||
\(399\) | −0.625623 | − | 0.278545i | −0.0313203 | − | 0.0139447i | ||||
\(400\) | −4.74458 | − | 5.26939i | −0.237229 | − | 0.263469i | ||||
\(401\) | −1.70617 | + | 8.02690i | −0.0852021 | + | 0.400844i | −0.999995 | − | 0.00307820i | \(-0.999020\pi\) |
0.914793 | + | 0.403923i | \(0.132354\pi\) | |||||||
\(402\) | −6.95744 | −0.347005 | ||||||||
\(403\) | −20.0347 | − | 1.26883i | −0.998001 | − | 0.0632051i | ||||
\(404\) | 13.7810 | 0.685630 | ||||||||
\(405\) | −4.69614 | + | 22.0936i | −0.233353 | + | 1.09784i | ||||
\(406\) | 7.91637 | + | 8.79202i | 0.392883 | + | 0.436341i | ||||
\(407\) | 3.12944 | + | 1.39332i | 0.155121 | + | 0.0690641i | ||||
\(408\) | 3.99598i | 0.197830i | ||||||||
\(409\) | −25.8331 | + | 14.9148i | −1.27737 | + | 0.737488i | −0.976363 | − | 0.216136i | \(-0.930655\pi\) |
−0.301003 | + | 0.953623i | \(0.597321\pi\) | |||||||
\(410\) | −1.33332 | + | 2.99468i | −0.0658479 | + | 0.147897i | ||||
\(411\) | 2.65423 | − | 3.65324i | 0.130924 | − | 0.180201i | ||||
\(412\) | 4.35800 | − | 41.4636i | 0.214703 | − | 2.04277i | ||||
\(413\) | 10.2318 | + | 2.17483i | 0.503473 | + | 0.107016i | ||||
\(414\) | 47.1529 | − | 4.95597i | 2.31744 | − | 0.243573i | ||||
\(415\) | −9.16158 | − | 28.1964i | −0.449724 | − | 1.38411i | ||||
\(416\) | −1.97202 | − | 5.13950i | −0.0966864 | − | 0.251985i | ||||
\(417\) | −4.08851 | − | 2.97047i | −0.200215 | − | 0.145465i | ||||
\(418\) | −16.7245 | + | 15.0588i | −0.818023 | + | 0.736551i | ||||
\(419\) | 10.7989 | + | 11.9934i | 0.527562 | + | 0.585916i | 0.946745 | − | 0.321985i | \(-0.104350\pi\) |
−0.419183 | + | 0.907902i | \(0.637683\pi\) | |||||||
\(420\) | 0.267906 | − | 2.54895i | 0.0130725 | − | 0.124376i | ||||
\(421\) | 28.1844 | + | 9.15767i | 1.37362 | + | 0.446318i | 0.900568 | − | 0.434715i | \(-0.143151\pi\) |
0.473056 | + | 0.881032i | \(0.343151\pi\) | |||||||
\(422\) | 4.21319 | + | 3.79358i | 0.205095 | + | 0.184668i | ||||
\(423\) | −0.744120 | + | 1.67132i | −0.0361803 | + | 0.0812624i | ||||
\(424\) | −57.1573 | + | 18.5715i | −2.77581 | + | 0.901914i | ||||
\(425\) | 0.809036 | − | 7.69746i | 0.0392440 | − | 0.373382i | ||||
\(426\) | 3.16122 | − | 1.40747i | 0.153162 | − | 0.0681920i | ||||
\(427\) | −4.97626 | + | 0.523026i | −0.240818 | + | 0.0253110i | ||||
\(428\) | 14.2368 | 0.688160 | ||||||||
\(429\) | 2.55693 | − | 2.06995i | 0.123450 | − | 0.0999382i | ||||
\(430\) | −9.83133 | + | 7.14288i | −0.474109 | + | 0.344460i | ||||
\(431\) | 17.8837 | − | 16.1025i | 0.861426 | − | 0.775632i | −0.114571 | − | 0.993415i | \(-0.536549\pi\) |
0.975997 | + | 0.217783i | \(0.0698826\pi\) | |||||||
\(432\) | 4.78675 | + | 1.01746i | 0.230303 | + | 0.0489524i | ||||
\(433\) | 14.6092 | + | 25.3039i | 0.702074 | + | 1.21603i | 0.967737 | + | 0.251962i | \(0.0810759\pi\) |
−0.265663 | + | 0.964066i | \(0.585591\pi\) | |||||||
\(434\) | −6.21917 | + | 10.5095i | −0.298530 | + | 0.504473i | ||||
\(435\) | −3.43823 | + | 1.98506i | −0.164851 | + | 0.0951765i | ||||
\(436\) | −19.6802 | − | 17.7201i | −0.942509 | − | 0.848639i | ||||
\(437\) | 17.7037 | + | 5.75227i | 0.846882 | + | 0.275169i | ||||
\(438\) | −5.94923 | − | 2.64877i | −0.284265 | − | 0.126563i | ||||
\(439\) | 3.35045 | − | 5.80315i | 0.159908 | − | 0.276969i | −0.774927 | − | 0.632051i | \(-0.782213\pi\) |
0.934835 | + | 0.355081i | \(0.115547\pi\) | |||||||
\(440\) | −34.9037 | − | 20.1517i | −1.66397 | − | 0.960692i | ||||
\(441\) | 14.6194 | − | 10.6216i | 0.696163 | − | 0.505792i | ||||
\(442\) | −13.1176 | + | 25.7356i | −0.623940 | + | 1.22412i | ||||
\(443\) | 20.3766 | + | 14.8044i | 0.968119 | + | 0.703380i | 0.955022 | − | 0.296534i | \(-0.0958309\pi\) |
0.0130972 | + | 0.999914i | \(0.495831\pi\) | |||||||
\(444\) | 0.221138 | − | 1.04037i | 0.0104947 | − | 0.0493738i | ||||
\(445\) | −0.475617 | − | 4.52520i | −0.0225464 | − | 0.214515i | ||||
\(446\) | 16.4204 | − | 18.2367i | 0.777530 | − | 0.863534i | ||||
\(447\) | −3.42576 | − | 1.11310i | −0.162033 | − | 0.0526478i | ||||
\(448\) | −8.81758 | − | 0.926765i | −0.416591 | − | 0.0437855i | ||||
\(449\) | −7.49326 | − | 35.2530i | −0.353629 | − | 1.66369i | −0.691405 | − | 0.722467i | \(-0.743008\pi\) |
0.337776 | − | 0.941226i | \(-0.390325\pi\) | |||||||
\(450\) | −15.6883 | − | 5.09744i | −0.739554 | − | 0.240296i | ||||
\(451\) | −0.175846 | + | 1.67306i | −0.00828027 | + | 0.0787815i | ||||
\(452\) | −40.7922 | − | 45.3044i | −1.91871 | − | 2.13094i | ||||
\(453\) | −0.162595 | + | 0.764950i | −0.00763938 | + | 0.0359405i | ||||
\(454\) | −14.7217 | + | 10.6959i | −0.690924 | + | 0.501986i | ||||
\(455\) | 4.82958 | − | 7.43457i | 0.226414 | − | 0.348538i | ||||
\(456\) | 2.70508 | + | 1.96536i | 0.126677 | + | 0.0920362i | ||||
\(457\) | 0.374653 | + | 0.841485i | 0.0175255 | + | 0.0393630i | 0.922096 | − | 0.386961i | \(-0.126475\pi\) |
−0.904571 | + | 0.426324i | \(0.859808\pi\) | |||||||
\(458\) | −6.52746 | − | 62.1046i | −0.305008 | − | 2.90196i | ||||
\(459\) | 2.67087 | + | 4.62609i | 0.124666 | + | 0.215927i | ||||
\(460\) | 69.6662i | 3.24821i | ||||||||
\(461\) | −13.5055 | + | 30.3338i | −0.629012 | + | 1.41278i | 0.264783 | + | 0.964308i | \(0.414700\pi\) |
−0.893795 | + | 0.448476i | \(0.851967\pi\) | |||||||
\(462\) | −0.416075 | − | 1.95748i | −0.0193576 | − | 0.0910702i | ||||
\(463\) | −16.8603 | + | 5.47823i | −0.783563 | + | 0.254595i | −0.673361 | − | 0.739314i | \(-0.735150\pi\) |
−0.110202 | + | 0.993909i | \(0.535150\pi\) | |||||||
\(464\) | −8.19455 | − | 14.1934i | −0.380422 | − | 0.658911i | ||||
\(465\) | −3.01575 | − | 2.77464i | −0.139852 | − | 0.128671i | ||||
\(466\) | −31.2739 | − | 18.0560i | −1.44874 | − | 0.836428i | ||||
\(467\) | −4.70082 | − | 14.4676i | −0.217528 | − | 0.669482i | −0.998964 | − | 0.0454973i | \(-0.985513\pi\) |
0.781437 | − | 0.623985i | \(-0.214487\pi\) | |||||||
\(468\) | 31.4417 | + | 25.4684i | 1.45339 | + | 1.17728i | ||||
\(469\) | −7.78438 | + | 5.65568i | −0.359449 | + | 0.261155i | ||||
\(470\) | −3.54206 | − | 2.04501i | −0.163383 | − | 0.0943293i | ||||
\(471\) | −2.33460 | + | 4.04364i | −0.107573 | + | 0.186321i | ||||
\(472\) | −46.6570 | − | 20.7730i | −2.14756 | − | 0.956156i | ||||
\(473\) | −3.66565 | + | 5.04533i | −0.168547 | + | 0.231985i | ||||
\(474\) | 3.09863 | + | 0.325679i | 0.142325 | + | 0.0149589i | ||||
\(475\) | −4.81289 | − | 4.33355i | −0.220831 | − | 0.198837i | ||||
\(476\) | 6.78834 | + | 9.34334i | 0.311143 | + | 0.428251i | ||||
\(477\) | −26.5436 | + | 29.4796i | −1.21535 | + | 1.34978i | ||||
\(478\) | 15.4780 | + | 17.1900i | 0.707946 | + | 0.786254i | ||||
\(479\) | 3.97795 | + | 8.93461i | 0.181757 | + | 0.408233i | 0.981329 | − | 0.192338i | \(-0.0616069\pi\) |
−0.799572 | + | 0.600570i | \(0.794940\pi\) | |||||||
\(480\) | 0.347252 | − | 1.06873i | 0.0158498 | − | 0.0487807i | ||||
\(481\) | 2.31574 | − | 2.85886i | 0.105589 | − | 0.130353i | ||||
\(482\) | −35.0265 | − | 25.4483i | −1.59541 | − | 1.15914i | ||||
\(483\) | −1.23011 | + | 1.10760i | −0.0559719 | + | 0.0503973i | ||||
\(484\) | −1.01394 | − | 0.215519i | −0.0460881 | − | 0.00979634i | ||||
\(485\) | −9.98714 | − | 4.44656i | −0.453493 | − | 0.201908i | ||||
\(486\) | 16.3086 | − | 5.29900i | 0.739775 | − | 0.240368i | ||||
\(487\) | 36.3009 | + | 3.81538i | 1.64495 | + | 0.172891i | 0.881241 | − | 0.472667i | \(-0.156709\pi\) |
0.763711 | + | 0.645558i | \(0.223375\pi\) | |||||||
\(488\) | 24.2965 | + | 2.55366i | 1.09985 | + | 0.115599i | ||||
\(489\) | −1.26135 | − | 1.73609i | −0.0570401 | − | 0.0785089i | ||||
\(490\) | 20.1994 | + | 34.9864i | 0.912516 | + | 1.58052i | ||||
\(491\) | 9.05488 | − | 15.6835i | 0.408641 | − | 0.707787i | −0.586097 | − | 0.810241i | \(-0.699336\pi\) |
0.994738 | + | 0.102454i | \(0.0326695\pi\) | |||||||
\(492\) | 0.519469 | − | 0.0545984i | 0.0234195 | − | 0.00246148i | ||||
\(493\) | 5.52820 | − | 17.0140i | 0.248978 | − | 0.766274i | ||||
\(494\) | 10.9701 | + | 21.5376i | 0.493566 | + | 0.969022i | ||||
\(495\) | −26.6026 | −1.19570 | ||||||||
\(496\) | 11.4540 | − | 12.4493i | 0.514300 | − | 0.558992i | ||||
\(497\) | 2.39283 | − | 4.14450i | 0.107333 | − | 0.185906i | ||||
\(498\) | −4.80940 | + | 5.34138i | −0.215515 | + | 0.239353i | ||||
\(499\) | 32.0381 | + | 10.4098i | 1.43422 | + | 0.466007i | 0.920091 | − | 0.391705i | \(-0.128115\pi\) |
0.514130 | + | 0.857712i | \(0.328115\pi\) | |||||||
\(500\) | −11.2634 | + | 25.2980i | −0.503715 | + | 1.13136i | ||||
\(501\) | 0.497053 | − | 0.286973i | 0.0222067 | − | 0.0128210i | ||||
\(502\) | 4.94015i | 0.220490i | ||||||||
\(503\) | −18.1066 | − | 8.06156i | −0.807331 | − | 0.359447i | −0.0387902 | − | 0.999247i | \(-0.512350\pi\) |
−0.768541 | + | 0.639800i | \(0.779017\pi\) | |||||||
\(504\) | 10.7599 | − | 4.79060i | 0.479282 | − | 0.213390i | ||||
\(505\) | 3.95793 | + | 8.88965i | 0.176125 | + | 0.395584i | ||||
\(506\) | 16.8093 | + | 51.7338i | 0.747265 | + | 2.29985i | ||||
\(507\) | −1.43616 | − | 3.22816i | −0.0637821 | − | 0.143368i | ||||
\(508\) | −12.5848 | − | 38.7320i | −0.558360 | − | 1.71846i | ||||
\(509\) | −13.9647 | + | 12.5739i | −0.618976 | + | 0.557329i | −0.917832 | − | 0.396970i | \(-0.870062\pi\) |
0.298855 | + | 0.954298i | \(0.403395\pi\) | |||||||
\(510\) | −5.38681 | + | 2.39836i | −0.238532 | + | 0.106201i | ||||
\(511\) | −8.80952 | + | 1.87252i | −0.389710 | + | 0.0828354i | ||||
\(512\) | 30.0323 | + | 9.75807i | 1.32725 | + | 0.431250i | ||||
\(513\) | 4.44526 | + | 0.467216i | 0.196263 | + | 0.0206281i | ||||
\(514\) | −10.6986 | − | 50.3327i | −0.471893 | − | 2.22008i | ||||
\(515\) | 27.9984 | − | 9.09723i | 1.23376 | − | 0.400872i | ||||
\(516\) | 1.76892 | + | 0.787576i | 0.0778726 | + | 0.0346711i | ||||
\(517\) | −2.05309 | − | 0.436397i | −0.0902946 | − | 0.0191927i | ||||
\(518\) | −0.910294 | − | 2.04455i | −0.0399960 | − | 0.0898325i | ||||
\(519\) | −1.15204 | − | 0.837008i | −0.0505691 | − | 0.0367406i | ||||
\(520\) | −30.6120 | + | 30.6032i | −1.34243 | + | 1.34204i | ||||
\(521\) | −4.66220 | −0.204255 | −0.102127 | − | 0.994771i | \(-0.532565\pi\) | ||||
−0.102127 | + | 0.994771i | \(0.532565\pi\) | |||||||
\(522\) | −33.0193 | − | 19.0637i | −1.44522 | − | 0.834397i | ||||
\(523\) | −2.90087 | − | 27.5999i | −0.126846 | − | 1.20686i | −0.853959 | − | 0.520341i | \(-0.825805\pi\) |
0.727113 | − | 0.686518i | \(-0.240862\pi\) | |||||||
\(524\) | 80.2581 | − | 17.0594i | 3.50609 | − | 0.745243i | ||||
\(525\) | 0.547712 | − | 0.177962i | 0.0239041 | − | 0.00776691i | ||||
\(526\) | −53.7539 | + | 31.0349i | −2.34378 | + | 1.35318i | ||||
\(527\) | 18.4647 | + | 0.198389i | 0.804333 | + | 0.00864194i | ||||
\(528\) | 2.77225i | 0.120647i | ||||||||
\(529\) | 14.7162 | − | 16.3440i | 0.639834 | − | 0.710607i | ||||
\(530\) | −59.3411 | − | 65.9049i | −2.57761 | − | 2.86273i | ||||
\(531\) | −33.5261 | + | 3.52374i | −1.45491 | + | 0.152917i | ||||
\(532\) | 9.66372 | 0.418975 | ||||||||
\(533\) | 1.68667 | + | 0.647730i | 0.0730578 | + | 0.0280563i | ||||
\(534\) | −0.892428 | + | 0.648387i | −0.0386191 | + | 0.0280584i | ||||
\(535\) | 4.08882 | + | 9.18365i | 0.176775 | + | 0.397044i | ||||
\(536\) | 42.9177 | − | 19.1082i | 1.85376 | − | 0.825348i | ||||
\(537\) | −3.04400 | + | 3.38071i | −0.131358 | + | 0.145888i | ||||
\(538\) | 4.70670 | + | 6.47821i | 0.202920 | + | 0.279296i | ||||
\(539\) | 15.4070 | + | 13.8726i | 0.663628 | + | 0.597534i | ||||
\(540\) | 3.47798 | + | 16.3626i | 0.149668 | + | 0.704134i | ||||
\(541\) | 0.00523310 | − | 0.00720274i | 0.000224989 | − | 0.000309670i | −0.808904 | − | 0.587940i | \(-0.799939\pi\) |
0.809129 | + | 0.587630i | \(0.199939\pi\) | |||||||
\(542\) | −65.1256 | + | 13.8429i | −2.79738 | + | 0.594602i | ||||
\(543\) | 1.45241 | + | 1.61307i | 0.0623290 | + | 0.0692233i | ||||
\(544\) | 2.05955 | + | 4.62582i | 0.0883025 | + | 0.198331i | ||||
\(545\) | 5.77845 | − | 17.7843i | 0.247522 | − | 0.761794i | ||||
\(546\) | −2.14634 | − | 0.112794i | −0.0918549 | − | 0.00482713i | ||||
\(547\) | 27.5565 | − | 20.0210i | 1.17823 | − | 0.856034i | 0.186259 | − | 0.982501i | \(-0.440364\pi\) |
0.991971 | + | 0.126466i | \(0.0403635\pi\) | |||||||
\(548\) | −13.2483 | + | 62.3285i | −0.565940 | + | 2.66254i | ||||
\(549\) | 14.7313 | − | 6.55881i | 0.628718 | − | 0.279923i | ||||
\(550\) | 1.97823 | − | 18.8216i | 0.0843522 | − | 0.802557i | ||||
\(551\) | −8.79872 | − | 12.1104i | −0.374838 | − | 0.515920i | ||||
\(552\) | 6.99907 | − | 4.04092i | 0.297900 | − | 0.171993i | ||||
\(553\) | 3.73167 | − | 2.15448i | 0.158687 | − | 0.0916178i | ||||
\(554\) | −3.86272 | − | 5.31658i | −0.164111 | − | 0.225880i | ||||
\(555\) | 0.734619 | − | 0.156148i | 0.0311828 | − | 0.00662811i | ||||
\(556\) | 69.7546 | + | 14.8268i | 2.95825 | + | 0.628796i | ||||
\(557\) | 16.7878 | + | 9.69247i | 0.711324 | + | 0.410683i | 0.811551 | − | 0.584282i | \(-0.198624\pi\) |
−0.100227 | + | 0.994965i | \(0.531957\pi\) | |||||||
\(558\) | 8.59552 | − | 38.4051i | 0.363878 | − | 1.62582i | ||||
\(559\) | 4.21436 | + | 5.20582i | 0.178248 | + | 0.220183i | ||||
\(560\) | 2.30863 | + | 7.10524i | 0.0975575 | + | 0.300251i | ||||
\(561\) | −2.24881 | + | 2.02484i | −0.0949448 | + | 0.0854887i | ||||
\(562\) | 5.82445 | + | 55.4159i | 0.245689 | + | 2.33758i | ||||
\(563\) | −9.50376 | − | 16.4610i | −0.400536 | − | 0.693748i | 0.593255 | − | 0.805015i | \(-0.297843\pi\) |
−0.993791 | + | 0.111267i | \(0.964509\pi\) | |||||||
\(564\) | 0.651703i | 0.0274417i | ||||||||
\(565\) | 17.5087 | − | 39.3252i | 0.736597 | − | 1.65442i | ||||
\(566\) | 62.5629 | + | 6.57562i | 2.62971 | + | 0.276394i | ||||
\(567\) | 4.45133 | − | 6.12673i | 0.186938 | − | 0.257299i | ||||
\(568\) | −15.6348 | + | 17.3642i | −0.656022 | + | 0.728586i | ||||
\(569\) | 3.96484 | + | 37.7230i | 0.166215 | + | 1.58143i | 0.686302 | + | 0.727316i | \(0.259233\pi\) |
−0.520087 | + | 0.854113i | \(0.674101\pi\) | |||||||
\(570\) | −1.02584 | + | 4.82620i | −0.0429678 | + | 0.202147i | ||||
\(571\) | −3.20840 | + | 9.87445i | −0.134268 | + | 0.413233i | −0.995475 | − | 0.0950200i | \(-0.969709\pi\) |
0.861208 | + | 0.508253i | \(0.169709\pi\) | |||||||
\(572\) | −21.0812 | + | 41.3596i | −0.881451 | + | 1.72933i | ||||
\(573\) | 0.572148 | − | 1.76089i | 0.0239018 | − | 0.0735622i | ||||
\(574\) | 0.816777 | − | 0.735429i | 0.0340916 | − | 0.0306962i | ||||
\(575\) | −14.3005 | + | 6.36698i | −0.596371 | + | 0.265521i | ||||
\(576\) | 27.9487 | − | 5.94068i | 1.16453 | − | 0.247529i | ||||
\(577\) | 4.23404 | − | 1.37572i | 0.176265 | − | 0.0572721i | −0.219555 | − | 0.975600i | \(-0.570460\pi\) |
0.395820 | + | 0.918328i | \(0.370460\pi\) | |||||||
\(578\) | −5.89566 | + | 13.2419i | −0.245227 | + | 0.550789i | ||||
\(579\) | 2.98417 | + | 2.68696i | 0.124018 | + | 0.111666i | ||||
\(580\) | 32.9295 | − | 45.3235i | 1.36732 | − | 1.88196i | ||||
\(581\) | −1.03904 | + | 9.88580i | −0.0431066 | + | 0.410132i | ||||
\(582\) | 0.277037 | + | 2.63583i | 0.0114836 | + | 0.109259i | ||||
\(583\) | −39.4142 | − | 22.7558i | −1.63237 | − | 0.942449i | ||||
\(584\) | 43.9732 | 1.81962 | ||||||||
\(585\) | −7.39872 | + | 27.5965i | −0.305899 | + | 1.14098i | ||||
\(586\) | −10.2549 | + | 31.5612i | −0.423624 | + | 1.30378i | ||||
\(587\) | 1.14545 | − | 5.38892i | 0.0472778 | − | 0.222425i | −0.948166 | − | 0.317776i | \(-0.897064\pi\) |
0.995444 | + | 0.0953511i | \(0.0303974\pi\) | |||||||
\(588\) | 3.21857 | − | 5.57473i | 0.132732 | − | 0.229898i | ||||
\(589\) | 9.21584 | − | 12.4021i | 0.379732 | − | 0.511019i | ||||
\(590\) | − | 75.3642i | − | 3.10270i | ||||||
\(591\) | 0.384142 | + | 0.345883i | 0.0158015 | + | 0.0142277i | ||||
\(592\) | 0.644595 | + | 3.03258i | 0.0264927 | + | 0.124638i | ||||
\(593\) | 16.3095 | + | 22.4481i | 0.669751 | + | 0.921833i | 0.999755 | − | 0.0221469i | \(-0.00705016\pi\) |
−0.330004 | + | 0.943979i | \(0.607050\pi\) | |||||||
\(594\) | 6.53075 | + | 11.3116i | 0.267960 | + | 0.464120i | ||||
\(595\) | −4.07745 | + | 7.06235i | −0.167159 | + | 0.289528i | ||||
\(596\) | 50.5507 | − | 5.31309i | 2.07064 | − | 0.217633i | ||||
\(597\) | 0.0335967 | + | 0.0244094i | 0.00137502 | + | 0.000999011i | ||||
\(598\) | 58.3418 | − | 3.04916i | 2.38577 | − | 0.124690i | ||||
\(599\) | −13.9320 | − | 42.8782i | −0.569244 | − | 1.75195i | −0.654991 | − | 0.755637i | \(-0.727327\pi\) |
0.0857462 | − | 0.996317i | \(-0.472673\pi\) | |||||||
\(600\) | −2.79640 | + | 0.293914i | −0.114163 | + | 0.0119990i | ||||
\(601\) | 5.90812 | + | 1.25581i | 0.240997 | + | 0.0512256i | 0.326827 | − | 0.945084i | \(-0.394021\pi\) |
−0.0858294 | + | 0.996310i | \(0.527354\pi\) | |||||||
\(602\) | 3.98537 | − | 0.847116i | 0.162431 | − | 0.0345259i | ||||
\(603\) | 18.2267 | − | 25.0869i | 0.742248 | − | 1.02162i | ||||
\(604\) | −2.29440 | − | 10.7943i | −0.0933578 | − | 0.439214i | ||||
\(605\) | −0.152181 | − | 0.715955i | −0.00618704 | − | 0.0291077i | ||||
\(606\) | 1.38665 | − | 1.90855i | 0.0563286 | − | 0.0775297i | ||||
\(607\) | −8.91795 | + | 1.89557i | −0.361968 | + | 0.0769388i | −0.385306 | − | 0.922789i | \(-0.625904\pi\) |
0.0233375 | + | 0.999728i | \(0.492571\pi\) | |||||||
\(608\) | 4.14441 | + | 0.880922i | 0.168078 | + | 0.0357261i | ||||
\(609\) | 1.32382 | − | 0.139139i | 0.0536438 | − | 0.00563819i | ||||
\(610\) | 11.1401 | + | 34.2858i | 0.451050 | + | 1.38819i | ||||
\(611\) | −1.02371 | + | 2.00843i | −0.0414148 | + | 0.0812523i | ||||
\(612\) | −30.1110 | − | 21.8769i | −1.21716 | − | 0.884322i | ||||
\(613\) | −25.6780 | + | 2.69887i | −1.03712 | + | 0.109006i | −0.607757 | − | 0.794123i | \(-0.707930\pi\) |
−0.429368 | + | 0.903130i | \(0.641264\pi\) | |||||||
\(614\) | −29.7301 | + | 51.4940i | −1.19981 | + | 2.07813i | ||||
\(615\) | 0.184412 | + | 0.319411i | 0.00743621 | + | 0.0128799i | ||||
\(616\) | 7.94271 | + | 10.9322i | 0.320021 | + | 0.440471i | ||||
\(617\) | 2.17828 | + | 10.2480i | 0.0876941 | + | 0.412568i | 0.999995 | + | 0.00304855i | \(0.000970385\pi\) |
−0.912301 | + | 0.409520i | \(0.865696\pi\) | |||||||
\(618\) | −5.30387 | − | 4.77562i | −0.213353 | − | 0.192104i | ||||
\(619\) | 25.5704i | 1.02776i | 0.857862 | + | 0.513881i | \(0.171793\pi\) | ||||
−0.857862 | + | 0.513881i | \(0.828207\pi\) | |||||||
\(620\) | 54.8016 | + | 18.4594i | 2.20089 | + | 0.741346i | ||||
\(621\) | 5.40182 | − | 9.35623i | 0.216768 | − | 0.375452i | ||||
\(622\) | −3.57361 | + | 16.8125i | −0.143289 | + | 0.674119i | ||||
\(623\) | −0.471428 | + | 1.45090i | −0.0188873 | + | 0.0581293i | ||||
\(624\) | 2.87584 | + | 0.771020i | 0.115126 | + | 0.0308655i | ||||
\(625\) | −31.2223 | −1.24889 | ||||||||
\(626\) | −59.1558 | − | 34.1536i | −2.36434 | − | 1.36505i | ||||
\(627\) | 0.264675 | + | 2.51822i | 0.0105701 | + | 0.100568i | ||||
\(628\) | 6.88713 | − | 65.5266i | 0.274826 | − | 2.61480i | ||||
\(629\) | −1.98918 | + | 2.73787i | −0.0793136 | + | 0.109166i | ||||
\(630\) | 12.9160 | + | 11.6296i | 0.514587 | + | 0.463336i | ||||
\(631\) | 6.18540 | − | 13.8926i | 0.246237 | − | 0.553057i | −0.747569 | − | 0.664184i | \(-0.768779\pi\) |
0.993806 | + | 0.111127i | \(0.0354459\pi\) | |||||||
\(632\) | −20.0087 | + | 6.50121i | −0.795903 | + | 0.258604i | ||||
\(633\) | 0.623937 | − | 0.132622i | 0.0247993 | − | 0.00527125i | ||||
\(634\) | 55.6811 | − | 24.7908i | 2.21138 | − | 0.984569i | ||||
\(635\) | 21.3703 | − | 19.2419i | 0.848056 | − | 0.763593i | ||||
\(636\) | −4.36668 | + | 13.4393i | −0.173150 | + | 0.532901i | ||||
\(637\) | 18.6759 | − | 12.1245i | 0.739967 | − | 0.480389i | ||||
\(638\) | 13.5174 | − | 41.6023i | 0.535160 | − | 1.64705i | ||||
\(639\) | −3.20659 | + | 15.0858i | −0.126851 | + | 0.596786i | ||||
\(640\) | 5.81273 | + | 55.3044i | 0.229768 | + | 2.18610i | ||||
\(641\) | −22.0939 | + | 24.5377i | −0.872656 | + | 0.969183i | −0.999742 | − | 0.0227089i | \(-0.992771\pi\) |
0.127086 | + | 0.991892i | \(0.459438\pi\) | |||||||
\(642\) | 1.43250 | − | 1.97167i | 0.0565365 | − | 0.0778157i | ||||
\(643\) | −23.2766 | − | 2.44647i | −0.917941 | − | 0.0964795i | −0.366239 | − | 0.930521i | \(-0.619355\pi\) |
−0.551702 | + | 0.834041i | \(0.686021\pi\) | |||||||
\(644\) | 9.50047 | − | 21.3384i | 0.374371 | − | 0.840851i | ||||
\(645\) | 1.36727i | 0.0538361i | ||||||||
\(646\) | −11.1165 | − | 19.2543i | −0.437373 | − | 0.757552i | ||||
\(647\) | −1.41394 | − | 13.4527i | −0.0555877 | − | 0.528881i | −0.986514 | − | 0.163675i | \(-0.947665\pi\) |
0.930927 | − | 0.365206i | \(-0.119002\pi\) | |||||||
\(648\) | −27.4780 | + | 24.7413i | −1.07944 | + | 0.971929i | ||||
\(649\) | −11.9516 | − | 36.7832i | −0.469140 | − | 1.44387i | ||||
\(650\) | −18.9747 | − | 7.28683i | −0.744249 | − | 0.285813i | ||||
\(651\) | 0.545328 | + | 1.26112i | 0.0213731 | + | 0.0494272i | ||||
\(652\) | 26.2245 | + | 15.1408i | 1.02703 | + | 0.592958i | ||||
\(653\) | −35.2442 | − | 7.49138i | −1.37921 | − | 0.293160i | −0.542156 | − | 0.840278i | \(-0.682392\pi\) |
−0.837056 | + | 0.547118i | \(0.815725\pi\) | |||||||
\(654\) | −4.43431 | + | 0.942542i | −0.173395 | + | 0.0368563i | ||||
\(655\) | 34.0547 | + | 46.8723i | 1.33063 | + | 1.83145i | ||||
\(656\) | −1.31856 | + | 0.761271i | −0.0514812 | + | 0.0297227i | ||||
\(657\) | 25.1363 | − | 14.5124i | 0.980660 | − | 0.566184i | ||||
\(658\) | 0.806034 | + | 1.10941i | 0.0314225 | + | 0.0432493i | ||||
\(659\) | 3.01945 | − | 28.7282i | 0.117621 | − | 1.11909i | −0.763371 | − | 0.645960i | \(-0.776457\pi\) |
0.880993 | − | 0.473130i | \(-0.156876\pi\) | |||||||
\(660\) | −8.65713 | + | 3.85440i | −0.336978 | + | 0.150032i | ||||
\(661\) | 1.57949 | − | 7.43091i | 0.0614350 | − | 0.289029i | −0.936696 | − | 0.350145i | \(-0.886132\pi\) |
0.998131 | + | 0.0611155i | \(0.0194658\pi\) | |||||||
\(662\) | 28.4245 | − | 20.6516i | 1.10475 | − | 0.802647i | ||||
\(663\) | 1.47505 | + | 2.89598i | 0.0572863 | + | 0.112471i | ||||
\(664\) | 14.9975 | − | 46.1576i | 0.582017 | − | 1.79126i | ||||
\(665\) | 2.77544 | + | 6.23374i | 0.107627 | + | 0.241734i | ||||
\(666\) | 4.82616 | + | 5.36000i | 0.187010 | + | 0.207696i | ||||
\(667\) | −35.3910 | + | 7.52259i | −1.37034 | + | 0.291276i | ||||
\(668\) | −4.76049 | + | 6.55226i | −0.184189 | + | 0.253514i | ||||
\(669\) | −0.574052 | − | 2.70070i | −0.0221941 | − | 0.104415i | ||||
\(670\) | 51.5179 | + | 46.3869i | 1.99031 | + | 1.79208i | ||||
\(671\) | 10.8744 | + | 14.9673i | 0.419800 | + | 0.577805i | ||||
\(672\) | −0.252105 | + | 0.279992i | −0.00972518 | + | 0.0108009i | ||||
\(673\) | −24.5970 | + | 10.9513i | −0.948143 | + | 0.422141i | −0.821756 | − | 0.569840i | \(-0.807005\pi\) |
−0.126388 | + | 0.991981i | \(0.540338\pi\) | |||||||
\(674\) | 7.40828 | + | 16.6393i | 0.285356 | + | 0.640921i | ||||
\(675\) | −3.04091 | + | 2.20935i | −0.117045 | + | 0.0850379i | ||||
\(676\) | 37.0418 | + | 33.3719i | 1.42469 | + | 1.28353i | ||||
\(677\) | −3.80935 | −0.146405 | −0.0732027 | − | 0.997317i | \(-0.523322\pi\) | ||||
−0.0732027 | + | 0.997317i | \(0.523322\pi\) | |||||||
\(678\) | −10.3788 | + | 1.09086i | −0.398596 | + | 0.0418941i | ||||
\(679\) | 2.45262 | + | 2.72392i | 0.0941231 | + | 0.104534i | ||||
\(680\) | 26.6422 | − | 29.5891i | 1.02168 | − | 1.13469i | ||||
\(681\) | 2.04738i | 0.0784559i | ||||||||
\(682\) | 45.1493 | + | 0.485095i | 1.72886 | + | 0.0185752i | ||||
\(683\) | −3.15330 | + | 1.82056i | −0.120658 | + | 0.0696618i | −0.559114 | − | 0.829091i | \(-0.688859\pi\) |
0.438456 | + | 0.898752i | \(0.355525\pi\) | |||||||
\(684\) | −29.6192 | + | 9.62386i | −1.13252 | + | 0.367977i | ||||
\(685\) | −44.0109 | + | 9.35481i | −1.68157 | + | 0.357429i | ||||
\(686\) | −3.02067 | − | 28.7398i | −0.115330 | − | 1.09729i | ||||
\(687\) | −6.08469 | − | 3.51300i | −0.232145 | − | 0.134029i | ||||
\(688\) | −5.64422 | −0.215184 | ||||||||
\(689\) | −34.5679 | + | 34.5580i | −1.31693 | + | 1.31656i | ||||
\(690\) | 9.64820 | + | 7.00983i | 0.367301 | + | 0.266860i | ||||
\(691\) | 11.2307 | + | 25.2246i | 0.427236 | + | 0.959589i | 0.991026 | + | 0.133670i | \(0.0426762\pi\) |
−0.563790 | + | 0.825918i | \(0.690657\pi\) | |||||||
\(692\) | 19.6552 | + | 4.17784i | 0.747178 | + | 0.158818i | ||||
\(693\) | 8.14822 | + | 3.62782i | 0.309525 | + | 0.137810i | ||||
\(694\) | 32.0244 | − | 10.4054i | 1.21563 | − | 0.394982i | ||||
\(695\) | 10.4694 | + | 49.2546i | 0.397127 | + | 1.86833i | ||||
\(696\) | −6.46350 | − | 0.679342i | −0.244998 | − | 0.0257504i | ||||
\(697\) | −1.58060 | − | 0.513569i | −0.0598695 | − | 0.0194528i | ||||
\(698\) | 65.4379 | − | 13.9092i | 2.47686 | − | 0.526473i | ||||
\(699\) | −3.71176 | + | 1.65258i | −0.140392 | + | 0.0625065i | ||||
\(700\) | −6.03922 | + | 5.43773i | −0.228261 | + | 0.205527i | ||||
\(701\) | −7.54579 | − | 23.2235i | −0.285000 | − | 0.877141i | −0.986399 | − | 0.164371i | \(-0.947440\pi\) |
0.701398 | − | 0.712770i | \(-0.252560\pi\) | |||||||
\(702\) | 13.5506 | − | 3.62878i | 0.511434 | − | 0.136960i | ||||
\(703\) | 0.875057 | + | 2.69315i | 0.0330034 | + | 0.101574i | ||||
\(704\) | 13.3335 | + | 29.9475i | 0.502525 | + | 1.12869i | ||||
\(705\) | −0.420392 | + | 0.187170i | −0.0158329 | + | 0.00704925i | ||||
\(706\) | −60.8100 | − | 27.0744i | −2.28861 | − | 1.01896i | ||||
\(707\) | − | 3.26260i | − | 0.122703i | ||||||
\(708\) | −10.3997 | + | 6.00426i | −0.390844 | + | 0.225654i | ||||
\(709\) | −4.52914 | + | 10.1726i | −0.170095 | + | 0.382040i | −0.978399 | − | 0.206725i | \(-0.933719\pi\) |
0.808304 | + | 0.588766i | \(0.200386\pi\) | |||||||
\(710\) | −32.7919 | − | 10.6547i | −1.23066 | − | 0.399865i | ||||
\(711\) | −9.29193 | + | 10.3197i | −0.348475 | + | 0.387020i | ||||
\(712\) | 3.72428 | − | 6.45064i | 0.139573 | − | 0.241748i | ||||
\(713\) | −18.3248 | − | 32.5420i | −0.686270 | − | 1.21871i | ||||
\(714\) | 1.97702 | 0.0739881 | ||||||||
\(715\) | −32.7342 | − | 1.72024i | −1.22419 | − | 0.0643334i | ||||
\(716\) | 19.8371 | − | 61.0523i | 0.741347 | − | 2.28163i | ||||
\(717\) | 2.58831 | − | 0.272042i | 0.0966622 | − | 0.0101596i | ||||
\(718\) | −37.7861 | + | 65.4474i | −1.41016 | + | 2.44247i | ||||
\(719\) | −4.14378 | − | 7.17723i | −0.154537 | − | 0.267666i | 0.778353 | − | 0.627826i | \(-0.216055\pi\) |
−0.932890 | + | 0.360161i | \(0.882722\pi\) | |||||||
\(720\) | −14.1519 | − | 19.4784i | −0.527409 | − | 0.725916i | ||||
\(721\) | −9.81636 | − | 1.03174i | −0.365580 | − | 0.0384240i | ||||
\(722\) | 27.1436 | + | 2.85290i | 1.01018 | + | 0.106174i | ||||
\(723\) | −4.63281 | + | 1.50529i | −0.172296 | + | 0.0559824i | ||||
\(724\) | −27.9815 | − | 12.4582i | −1.03992 | − | 0.463004i | ||||
\(725\) | 12.3131 | + | 2.61723i | 0.457298 | + | 0.0972017i | ||||
\(726\) | −0.131870 | + | 0.118737i | −0.00489417 | + | 0.00440673i | ||||
\(727\) | −3.34139 | − | 2.42766i | −0.123925 | − | 0.0900370i | 0.524096 | − | 0.851659i | \(-0.324403\pi\) |
−0.648021 | + | 0.761622i | \(0.724403\pi\) | |||||||
\(728\) | 13.5497 | − | 5.19901i | 0.502186 | − | 0.192688i | ||||
\(729\) | −7.13601 | + | 21.9624i | −0.264297 | + | 0.813421i | ||||
\(730\) | 26.3924 | + | 59.2784i | 0.976828 | + | 2.19399i | ||||
\(731\) | −4.12250 | − | 4.57850i | −0.152476 | − | 0.169342i | ||||
\(732\) | 3.84364 | − | 4.26880i | 0.142065 | − | 0.157779i | ||||
\(733\) | −14.3344 | − | 19.7297i | −0.529455 | − | 0.728732i | 0.457593 | − | 0.889162i | \(-0.348712\pi\) |
−0.987047 | + | 0.160430i | \(0.948712\pi\) | |||||||
\(734\) | 5.14460 | + | 4.63222i | 0.189891 | + | 0.170978i | ||||
\(735\) | 4.52045 | + | 0.475118i | 0.166739 | + | 0.0175250i | ||||
\(736\) | 6.01956 | − | 8.28521i | 0.221884 | − | 0.305397i | ||||
\(737\) | 32.5007 | + | 14.4702i | 1.19718 | + | 0.533018i | ||||
\(738\) | −1.77102 | + | 3.06749i | −0.0651920 | + | 0.112916i | ||||
\(739\) | −7.07114 | − | 4.08252i | −0.260116 | − | 0.150178i | 0.364272 | − | 0.931293i | \(-0.381318\pi\) |
−0.624387 | + | 0.781115i | \(0.714651\pi\) | |||||||
\(740\) | −8.57387 | + | 6.22928i | −0.315182 | + | 0.228993i | ||||
\(741\) | 2.68592 | + | 0.425803i | 0.0986697 | + | 0.0156423i | ||||
\(742\) | 9.18832 | + | 28.2787i | 0.337314 | + | 1.03815i | ||||
\(743\) | −7.23496 | − | 4.17711i | −0.265425 | − | 0.153243i | 0.361382 | − | 0.932418i | \(-0.382305\pi\) |
−0.626807 | + | 0.779175i | \(0.715638\pi\) | |||||||
\(744\) | −1.32418 | − | 6.57640i | −0.0485466 | − | 0.241103i | ||||
\(745\) | 17.9456 | + | 31.0826i | 0.657474 | + | 1.13878i | ||||
\(746\) | 8.44549 | − | 2.74411i | 0.309211 | − | 0.100469i | ||||
\(747\) | −6.66038 | − | 31.3346i | −0.243690 | − | 1.14647i | ||||
\(748\) | 17.3682 | − | 39.0096i | 0.635043 | − | 1.42633i | ||||
\(749\) | − | 3.37050i | − | 0.123155i | ||||||
\(750\) | 2.37024 | + | 4.10538i | 0.0865490 | + | 0.149907i | ||||
\(751\) | −0.188979 | − | 1.79801i | −0.00689593 | − | 0.0656104i | 0.990533 | − | 0.137277i | \(-0.0438350\pi\) |
−0.997429 | + | 0.0716664i | \(0.977168\pi\) | |||||||
\(752\) | −0.772659 | − | 1.73542i | −0.0281760 | − | 0.0632842i | ||||
\(753\) | 0.449672 | + | 0.326706i | 0.0163870 | + | 0.0119058i | ||||
\(754\) | −39.3973 | − | 25.5929i | −1.43476 | − | 0.932040i | ||||
\(755\) | 6.30408 | − | 4.58018i | 0.229429 | − | 0.166690i | ||||
\(756\) | 1.16610 | − | 5.48607i | 0.0424107 | − | 0.199527i | ||||
\(757\) | −26.1419 | − | 29.0335i | −0.950143 | − | 1.05524i | −0.998408 | − | 0.0564059i | \(-0.982036\pi\) |
0.0482651 | − | 0.998835i | \(-0.484631\pi\) | |||||||
\(758\) | −8.87974 | + | 84.4851i | −0.322527 | + | 3.06864i | ||||
\(759\) | 5.82066 | + | 1.89125i | 0.211277 | + | 0.0686480i | ||||
\(760\) | −6.92687 | − | 32.5884i | −0.251264 | − | 1.18210i | ||||
\(761\) | −45.2600 | − | 4.75702i | −1.64067 | − | 0.172442i | −0.761242 | − | 0.648468i | \(-0.775410\pi\) |
−0.879431 | + | 0.476026i | \(0.842077\pi\) | |||||||
\(762\) | −6.63035 | − | 2.15433i | −0.240192 | − | 0.0780432i | ||||
\(763\) | −4.19517 | + | 4.65921i | −0.151875 | + | 0.168675i | ||||
\(764\) | 2.73100 | + | 25.9837i | 0.0988041 | + | 0.940059i | ||||
\(765\) | 5.46412 | − | 25.7067i | 0.197556 | − | 0.929427i | ||||
\(766\) | −6.78609 | − | 4.93038i | −0.245191 | − | 0.178142i | ||||
\(767\) | −41.4815 | + | 2.16798i | −1.49781 | + | 0.0782813i | ||||
\(768\) | 6.61260 | − | 4.80434i | 0.238612 | − | 0.173362i | ||||
\(769\) | −25.3246 | − | 14.6212i | −0.913230 | − | 0.527254i | −0.0317610 | − | 0.999495i | \(-0.510112\pi\) |
−0.881469 | + | 0.472242i | \(0.843445\pi\) | |||||||
\(770\) | −9.97008 | + | 17.2687i | −0.359297 | + | 0.622320i | ||||
\(771\) | −5.28902 | − | 2.35482i | −0.190479 | − | 0.0848068i | ||||
\(772\) | −53.8912 | − | 17.5103i | −1.93959 | − | 0.630210i | ||||
\(773\) | −31.0092 | − | 27.9208i | −1.11532 | − | 1.00424i | −0.999940 | − | 0.0109215i | \(-0.996523\pi\) |
−0.115384 | − | 0.993321i | \(-0.536810\pi\) | |||||||
\(774\) | −11.3715 | + | 6.56533i | −0.408740 | + | 0.235986i | ||||
\(775\) | 1.21929 | + | 12.9362i | 0.0437981 | + | 0.464683i | ||||
\(776\) | −8.94808 | − | 15.4985i | −0.321218 | − | 0.556365i | ||||
\(777\) | −0.246304 | − | 0.0523535i | −0.00883610 | − | 0.00187817i | ||||
\(778\) | −15.1371 | + | 13.6295i | −0.542692 | + | 0.488642i | ||||
\(779\) | −1.12505 | + | 0.817399i | −0.0403092 | + | 0.0292864i | ||||
\(780\) | 1.59069 | + | 10.0526i | 0.0569560 | + | 0.359940i | ||||
\(781\) | −17.6945 | −0.633158 | ||||||||
\(782\) | −53.4441 | + | 5.61720i | −1.91116 | + | 0.200871i | ||||
\(783\) | −7.93677 | + | 3.53368i | −0.283637 | + | 0.126283i | ||||
\(784\) | −1.96134 | + | 18.6609i | −0.0700477 | + | 0.666460i | ||||
\(785\) | 44.2470 | − | 14.3767i | 1.57924 | − | 0.513127i | ||||
\(786\) | 5.71300 | − | 12.8316i | 0.203776 | − | 0.457688i | ||||
\(787\) | 23.6169 | + | 21.2648i | 0.841853 | + | 0.758008i | 0.972372 | − | 0.233438i | \(-0.0749976\pi\) |
−0.130519 | + | 0.991446i | \(0.541664\pi\) | |||||||
\(788\) | −6.93723 | − | 2.25404i | −0.247129 | − | 0.0802969i | ||||
\(789\) | −0.729983 | + | 6.94533i | −0.0259881 | + | 0.247260i | ||||
\(790\) | −20.7731 | − | 23.0709i | −0.739074 | − | 0.820825i | ||||
\(791\) | −10.7256 | + | 9.65742i | −0.381360 | + | 0.343378i | ||||
\(792\) | −35.2314 | − | 25.5971i | −1.25189 | − | 0.909555i | ||||
\(793\) | 18.5509 | − | 7.11797i | 0.658762 | − | 0.252766i | ||||
\(794\) | 14.3554 | + | 44.1815i | 0.509455 | + | 1.56794i | ||||
\(795\) | −9.92333 | + | 1.04298i | −0.351944 | + | 0.0369908i | ||||
\(796\) | −0.573198 | − | 0.121837i | −0.0203165 | − | 0.00431840i | ||||
\(797\) | −0.246978 | + | 2.34984i | −0.00874840 | + | 0.0832355i | −0.998025 | − | 0.0628192i | \(-0.979991\pi\) |
0.989277 | + | 0.146055i | \(0.0466575\pi\) | |||||||
\(798\) | 0.972365 | − | 1.33835i | 0.0344213 | − | 0.0473769i | ||||
\(799\) | 0.843401 | − | 1.89431i | 0.0298374 | − | 0.0670159i | ||||
\(800\) | −3.08569 | + | 1.78152i | −0.109096 | + | 0.0629864i | ||||
\(801\) | − | 4.91649i | − | 0.173716i | ||||||
\(802\) | −18.1093 | − | 8.06278i | −0.639462 | − | 0.284707i | ||||
\(803\) | 22.2820 | + | 24.7467i | 0.786316 | + | 0.873292i | ||||
\(804\) | 2.29662 | − | 10.8047i | 0.0809954 | − | 0.381053i | ||||
\(805\) | 16.4932 | 0.581310 | ||||||||
\(806\) | 13.0602 | − | 46.7014i | 0.460025 | − | 1.64499i | ||||
\(807\) | 0.900940 | 0.0317146 | ||||||||
\(808\) | −3.31194 | + | 15.5815i | −0.116514 | + | 0.548154i | ||||
\(809\) | 2.12568 | + | 2.36080i | 0.0747349 | + | 0.0830015i | 0.779353 | − | 0.626586i | \(-0.215548\pi\) |
−0.704618 | + | 0.709587i | \(0.748881\pi\) | |||||||
\(810\) | −49.8448 | − | 22.1923i | −1.75137 | − | 0.779759i | ||||
\(811\) | 12.3482i | 0.433603i | 0.976216 | + | 0.216801i | \(0.0695624\pi\) | ||||
−0.976216 | + | 0.216801i | \(0.930438\pi\) | |||||||
\(812\) | −16.2669 | + | 9.39172i | −0.570858 | + | 0.329585i | ||||
\(813\) | −3.04691 | + | 6.84347i | −0.106860 | + | 0.240011i | ||||
\(814\) | −4.86388 | + | 6.69456i | −0.170479 | + | 0.234644i | ||||
\(815\) | −2.23504 | + | 21.2650i | −0.0782902 | + | 0.744881i | ||||
\(816\) | −2.67889 | − | 0.569416i | −0.0937800 | − | 0.0199335i | ||||
\(817\) | −5.12701 | + | 0.538870i | −0.179371 | + | 0.0188527i | ||||
\(818\) | −22.2667 | − | 68.5300i | −0.778538 | − | 2.39609i | ||||
\(819\) | 6.02956 | − | 7.44370i | 0.210690 | − | 0.260104i | ||||
\(820\) | −4.21054 | − | 3.05914i | −0.147039 | − | 0.106830i | ||||
\(821\) | 20.4629 | − | 18.4249i | 0.714162 | − | 0.643034i | −0.229743 | − | 0.973251i | \(-0.573789\pi\) |
0.943905 | + | 0.330217i | \(0.107122\pi\) | |||||||
\(822\) | 7.29893 | + | 8.10628i | 0.254579 | + | 0.282739i | ||||
\(823\) | −0.603096 | + | 5.73808i | −0.0210226 | + | 0.200017i | −0.999992 | − | 0.00399020i | \(-0.998730\pi\) |
0.978969 | + | 0.204007i | \(0.0653965\pi\) | |||||||
\(824\) | 45.8334 | + | 14.8922i | 1.59668 | + | 0.518794i | ||||
\(825\) | −1.58240 | − | 1.42480i | −0.0550919 | − | 0.0496050i | ||||
\(826\) | −10.2775 | + | 23.0837i | −0.357600 | + | 0.803183i | ||||
\(827\) | 23.3328 | − | 7.58129i | 0.811361 | − | 0.263627i | 0.126187 | − | 0.992006i | \(-0.459726\pi\) |
0.685174 | + | 0.728379i | \(0.259726\pi\) | |||||||
\(828\) | −7.86845 | + | 74.8633i | −0.273447 | + | 2.60168i | ||||
\(829\) | 23.5299 | − | 10.4762i | 0.817227 | − | 0.363853i | 0.0448314 | − | 0.998995i | \(-0.485725\pi\) |
0.772396 | + | 0.635142i | \(0.219058\pi\) | |||||||
\(830\) | 71.2246 | − | 7.48601i | 2.47224 | − | 0.259843i | ||||
\(831\) | −0.739389 | −0.0256491 | ||||||||
\(832\) | 34.7748 | − | 5.50267i | 1.20560 | − | 0.190771i | ||||
\(833\) | −16.5700 | + | 12.0388i | −0.574115 | + | 0.417119i | ||||
\(834\) | 9.07211 | − | 8.16856i | 0.314141 | − | 0.282854i | ||||
\(835\) | −5.59386 | − | 1.18901i | −0.193584 | − | 0.0411474i | ||||
\(836\) | −17.8653 | − | 30.9436i | −0.617884 | − | 1.07021i | ||||
\(837\) | −5.92858 | − | 6.72835i | −0.204922 | − | 0.232566i | ||||
\(838\) | −33.7620 | + | 19.4925i | −1.16629 | + | 0.673357i | ||||
\(839\) | −29.3942 | − | 26.4666i | −1.01480 | − | 0.913730i | −0.0185129 | − | 0.999829i | \(-0.505893\pi\) |
−0.996287 | + | 0.0860990i | \(0.972560\pi\) | |||||||
\(840\) | 2.81759 | + | 0.915489i | 0.0972160 | + | 0.0315874i | ||||
\(841\) | 0.0876156 | + | 0.0390090i | 0.00302123 | + | 0.00134514i | ||||
\(842\) | −35.7932 | + | 61.9956i | −1.23352 | + | 2.13651i | ||||
\(843\) | 5.42937 | + | 3.13465i | 0.186997 | + | 0.107963i | ||||
\(844\) | −7.28209 | + | 5.29075i | −0.250660 | + | 0.182115i | ||||
\(845\) | −10.8886 | + | 33.4789i | −0.374579 | + | 1.15171i | ||||
\(846\) | −3.57532 | − | 2.59762i | −0.122922 | − | 0.0893081i | ||||
\(847\) | −0.0510234 | + | 0.240046i | −0.00175319 | + | 0.00824809i | ||||
\(848\) | −4.30554 | − | 40.9645i | −0.147853 | − | 1.40673i | ||||
\(849\) | 4.73600 | − | 5.25986i | 0.162539 | − | 0.180518i | ||||
\(850\) | 17.7815 | + | 5.77755i | 0.609899 | + | 0.198168i | ||||
\(851\) | 6.80700 | + | 0.715445i | 0.233341 | + | 0.0245251i | ||||
\(852\) | 1.14226 | + | 5.37389i | 0.0391331 | + | 0.184107i | ||||
\(853\) | −15.6038 | − | 5.07000i | −0.534265 | − | 0.173593i | 0.0294442 | − | 0.999566i | \(-0.490626\pi\) |
−0.563710 | + | 0.825973i | \(0.690626\pi\) | |||||||
\(854\) | 1.26343 | − | 12.0207i | 0.0432337 | − | 0.411341i | ||||
\(855\) | −14.7147 | − | 16.3423i | −0.503233 | − | 0.558896i | ||||
\(856\) | −3.42147 | + | 16.0968i | −0.116944 | + | 0.550176i | ||||
\(857\) | −39.1479 | + | 28.4426i | −1.33727 | + | 0.971580i | −0.337726 | + | 0.941245i | \(0.609658\pi\) |
−0.999540 | + | 0.0303355i | \(0.990342\pi\) | |||||||
\(858\) | 3.60676 | + | 7.08119i | 0.123133 | + | 0.241748i | ||||
\(859\) | −2.14467 | − | 1.55819i | −0.0731751 | − | 0.0531648i | 0.550596 | − | 0.834772i | \(-0.314400\pi\) |
−0.623771 | + | 0.781607i | \(0.714400\pi\) | |||||||
\(860\) | −7.84744 | − | 17.6256i | −0.267596 | − | 0.601029i | ||||
\(861\) | −0.0129260 | − | 0.122982i | −0.000440516 | − | 0.00419123i | ||||
\(862\) | 29.0657 | + | 50.3433i | 0.989983 | + | 1.71470i | ||||
\(863\) | 34.5021i | 1.17446i | 0.809418 | + | 0.587232i | \(0.199783\pi\) | ||||
−0.809418 | + | 0.587232i | \(0.800217\pi\) | |||||||
\(864\) | 1.00020 | − | 2.24648i | 0.0340273 | − | 0.0764266i | ||||
\(865\) | 2.95002 | + | 13.8788i | 0.100304 | + | 0.471892i | ||||
\(866\) | −67.1261 | + | 21.8106i | −2.28104 | + | 0.741154i | ||||
\(867\) | 0.815432 | + | 1.41237i | 0.0276935 | + | 0.0479666i | ||||
\(868\) | −14.2681 | − | 13.1274i | −0.484291 | − | 0.445572i | ||||
\(869\) | −13.7975 | − | 7.96596i | −0.468047 | − | 0.270227i | ||||
\(870\) | −2.96357 | − | 9.12092i | −0.100474 | − | 0.309228i | ||||
\(871\) | 24.0500 | − | 29.6906i | 0.814904 | − | 1.00603i | ||||
\(872\) | 24.7649 | − | 17.9927i | 0.838645 | − | 0.609311i | ||||
\(873\) | −10.2299 | − | 5.90626i | −0.346231 | − | 0.199897i | ||||
\(874\) | −22.4830 | + | 38.9418i | −0.760500 | + | 1.31723i | ||||
\(875\) | 5.98922 | + | 2.66657i | 0.202473 | + | 0.0901466i | ||||
\(876\) | 6.07728 | − | 8.36466i | 0.205332 | − | 0.282616i | ||||
\(877\) | 54.2238 | + | 5.69915i | 1.83101 | + | 0.192447i | 0.956336 | − | 0.292271i | \(-0.0944108\pi\) |
0.874671 | + | 0.484717i | \(0.161077\pi\) | |||||||
\(878\) | 12.0291 | + | 10.8311i | 0.405964 | + | 0.365531i | ||||
\(879\) | 2.19465 | + | 3.02067i | 0.0740236 | + | 0.101885i | ||||
\(880\) | 18.4833 | − | 20.5278i | 0.623072 | − | 0.691991i | ||||
\(881\) | 8.57599 | + | 9.52460i | 0.288932 | + | 0.320892i | 0.870084 | − | 0.492903i | \(-0.164064\pi\) |
−0.581152 | + | 0.813795i | \(0.697398\pi\) | |||||||
\(882\) | 17.7547 | + | 39.8777i | 0.597832 | + | 1.34275i | ||||
\(883\) | −10.9606 | + | 33.7334i | −0.368855 | + | 1.13522i | 0.578677 | + | 0.815557i | \(0.303569\pi\) |
−0.947532 | + | 0.319662i | \(0.896431\pi\) | |||||||
\(884\) | −35.6367 | − | 28.8665i | −1.19859 | − | 0.970885i | ||||
\(885\) | −6.85996 | − | 4.98405i | −0.230595 | − | 0.167537i | ||||
\(886\) | −45.2142 | + | 40.7110i | −1.51900 | + | 1.36771i | ||||
\(887\) | 5.30986 | + | 1.12864i | 0.178288 | + | 0.0378962i | 0.296190 | − | 0.955129i | \(-0.404284\pi\) |
−0.117903 | + | 0.993025i | \(0.537617\pi\) | |||||||
\(888\) | 1.12315 | + | 0.500058i | 0.0376904 | + | 0.0167808i | ||||
\(889\) | −9.16966 | + | 2.97940i | −0.307541 | + | 0.0999260i | ||||
\(890\) | 10.9311 | + | 1.14891i | 0.366413 | + | 0.0385115i | ||||
\(891\) | −27.8472 | − | 2.92686i | −0.932917 | − | 0.0980535i | ||||
\(892\) | 22.9009 | + | 31.5204i | 0.766779 | + | 1.05538i | ||||
\(893\) | −0.867542 | − | 1.50263i | −0.0290312 | − | 0.0502835i | ||||
\(894\) | 4.35060 | − | 7.53546i | 0.145506 | − | 0.252023i | ||||
\(895\) | 45.0800 | − | 4.73810i | 1.50686 | − | 0.158377i | ||||
\(896\) | 5.76152 | − | 17.7321i | 0.192479 | − | 0.592389i | ||||
\(897\) | 3.58076 | − | 5.51215i | 0.119558 | − | 0.184045i | ||||
\(898\) | 87.0603 | 2.90524 | ||||||||
\(899\) | −3.46000 | + | 29.8329i | −0.115398 | + | 0.994983i | ||||
\(900\) | 13.0948 | − | 22.6809i | 0.436494 | − | 0.756030i | ||||
\(901\) | 30.0851 | − | 33.4128i | 1.00228 | − | 1.11314i | ||||
\(902\) | −3.86485 | − | 1.25576i | −0.128685 | − | 0.0418124i | ||||
\(903\) | 0.186456 | − | 0.418787i | 0.00620486 | − | 0.0139363i | ||||
\(904\) | 61.0268 | − | 35.2338i | 2.02972 | − | 1.17186i | ||||
\(905\) | − | 21.6279i | − | 0.718936i | ||||||
\(906\) | −1.72578 | − | 0.768369i | −0.0573353 | − | 0.0255273i | ||||
\(907\) | 33.2557 | − | 14.8064i | 1.10424 | − | 0.491638i | 0.228069 | − | 0.973645i | \(-0.426759\pi\) |
0.876167 | + | 0.482007i | \(0.160092\pi\) | |||||||
\(908\) | −11.7510 | − | 26.3931i | −0.389970 | − | 0.875887i | ||||
\(909\) | 3.24914 | + | 9.99984i | 0.107767 | + | 0.331674i | ||||
\(910\) | 15.1410 | + | 15.1454i | 0.501920 | + | 0.502065i | ||||
\(911\) | 0.373886 | + | 1.15070i | 0.0123874 | + | 0.0381244i | 0.957059 | − | 0.289893i | \(-0.0936196\pi\) |
−0.944672 | + | 0.328017i | \(0.893620\pi\) | |||||||
\(912\) | −1.70304 | + | 1.53342i | −0.0563931 | + | 0.0507766i | ||||
\(913\) | 33.5756 | − | 14.9488i | 1.11119 | − | 0.494733i | ||||
\(914\) | −2.17645 | + | 0.462619i | −0.0719906 | + | 0.0153021i | ||||
\(915\) | 3.85756 | + | 1.25340i | 0.127527 | + | 0.0414360i | ||||
\(916\) | 98.6016 | + | 10.3634i | 3.25789 | + | 0.342418i | ||||
\(917\) | −4.03875 | − | 19.0008i | −0.133371 | − | 0.627463i | ||||
\(918\) | −12.2721 | + | 3.98743i | −0.405038 | + | 0.131605i | ||||
\(919\) | −54.2941 | − | 24.1733i | −1.79100 | − | 0.797403i | −0.975946 | − | 0.218011i | \(-0.930043\pi\) |
−0.815049 | − | 0.579392i | \(-0.803290\pi\) | |||||||
\(920\) | −78.7680 | − | 16.7427i | −2.59691 | − | 0.551989i | ||||
\(921\) | 2.72106 | + | 6.11159i | 0.0896619 | + | 0.201384i | ||||
\(922\) | −64.8906 | − | 47.1458i | −2.13706 | − | 1.55266i | ||||
\(923\) | −4.92120 | + | 18.3556i | −0.161983 | + | 0.604183i | ||||
\(924\) | 3.17726 | 0.104524 | ||||||||
\(925\) | −2.06228 | − | 1.19066i | −0.0678073 | − | 0.0391486i | ||||
\(926\) | −4.47631 | − | 42.5893i | −0.147101 | − | 1.39957i | ||||
\(927\) | 31.1145 | − | 6.61360i | 1.02194 | − | 0.217219i | ||||
\(928\) | −7.83242 | + | 2.54491i | −0.257112 | + | 0.0835407i | ||||
\(929\) | −43.9684 | + | 25.3852i | −1.44256 | + | 0.832861i | −0.998020 | − | 0.0628996i | \(-0.979965\pi\) |
−0.444537 | + | 0.895760i | \(0.646632\pi\) | |||||||
\(930\) | 8.07062 | − | 5.73219i | 0.264646 | − | 0.187966i | ||||
\(931\) | 17.1381i | 0.561680i | ||||||||
\(932\) | 38.3639 | − | 42.6074i | 1.25665 | − | 1.39565i | ||||
\(933\) | 1.29401 | + | 1.43714i | 0.0423639 | + | 0.0470499i | ||||
\(934\) | 36.5454 | − | 3.84108i | 1.19580 | − | 0.125684i | ||||
\(935\) | 30.1519 | 0.986073 | ||||||||
\(936\) | −36.3521 | + | 29.4287i | −1.18821 | + | 0.961908i | ||||
\(937\) | 11.4099 | − | 8.28979i | 0.372746 | − | 0.270816i | −0.385603 | − | 0.922665i | \(-0.626007\pi\) |
0.758349 | + | 0.651849i | \(0.226007\pi\) | |||||||
\(938\) | −9.45382 | − | 21.2336i | −0.308678 | − | 0.693303i | ||||
\(939\) | −7.02094 | + | 3.12592i | −0.229120 | + | 0.102011i | ||||
\(940\) | 4.34507 | − | 4.82568i | 0.141720 | − | 0.157396i | ||||
\(941\) | 6.04779 | + | 8.32406i | 0.197152 | + | 0.271357i | 0.896135 | − | 0.443782i | \(-0.146364\pi\) |
−0.698983 | + | 0.715139i | \(0.746364\pi\) | |||||||
\(942\) | −8.38191 | − | 7.54711i | −0.273098 | − | 0.245898i | ||||
\(943\) | 0.698847 | + | 3.28782i | 0.0227576 | + | 0.107066i | ||||
\(944\) | 20.5747 | − | 28.3186i | 0.669648 | − | 0.921692i | ||||
\(945\) | 3.87379 | − | 0.823398i | 0.126014 | − | 0.0267852i | ||||
\(946\) | −10.0802 | − | 11.1952i | −0.327737 | − | 0.363989i | ||||
\(947\) | −0.526529 | − | 1.18260i | −0.0171099 | − | 0.0384294i | 0.904788 | − | 0.425861i | \(-0.140029\pi\) |
−0.921898 | + | 0.387432i | \(0.873362\pi\) | |||||||
\(948\) | −1.52861 | + | 4.70459i | −0.0496471 | + | 0.152798i | ||||
\(949\) | 31.8684 | − | 16.2320i | 1.03449 | − | 0.526914i | ||||
\(950\) | 12.6566 | − | 9.19558i | 0.410635 | − | 0.298344i | ||||
\(951\) | 1.42579 | − | 6.70781i | 0.0462343 | − | 0.217516i | ||||
\(952\) | −12.1955 | + | 5.42977i | −0.395257 | + | 0.175980i | ||||
\(953\) | 2.76378 | − | 26.2956i | 0.0895276 | − | 0.851799i | −0.853948 | − | 0.520358i | \(-0.825799\pi\) |
0.943476 | − | 0.331441i | \(-0.107535\pi\) | |||||||
\(954\) | −56.3242 | − | 77.5236i | −1.82356 | − | 2.50992i | ||||
\(955\) | −15.9769 | + | 9.22426i | −0.517000 | + | 0.298490i | ||||
\(956\) | −31.8049 | + | 18.3626i | −1.02864 | + | 0.593888i | ||||
\(957\) | −2.89287 | − | 3.98169i | −0.0935131 | − | 0.128710i | ||||
\(958\) | −23.1088 | + | 4.91193i | −0.746612 | + | 0.158697i | ||||
\(959\) | 14.7560 | + | 3.13649i | 0.476497 | + | 0.101283i | ||||
\(960\) | 6.22419 | + | 3.59354i | 0.200885 | + | 0.115981i | ||||
\(961\) | −30.4541 | + | 5.79226i | −0.982389 | + | 0.186847i | ||||
\(962\) | 5.59195 | + | 6.90751i | 0.180292 | + | 0.222707i | ||||
\(963\) | 3.35660 | + | 10.3305i | 0.108165 | + | 0.332897i | ||||
\(964\) | 51.0826 | − | 45.9950i | 1.64526 | − | 1.48140i | ||||
\(965\) | −4.18235 | − | 39.7924i | −0.134635 | − | 1.28096i | ||||
\(966\) | −1.99925 | − | 3.46281i | −0.0643249 | − | 0.111414i | ||||
\(967\) | − | 18.0448i | − | 0.580281i | −0.956984 | − | 0.290140i | \(-0.906298\pi\) | ||
0.956984 | − | 0.290140i | \(-0.0937020\pi\) | |||||||
\(968\) | 0.487353 | − | 1.09461i | 0.0156641 | − | 0.0351822i | ||||
\(969\) | −2.48777 | − | 0.261476i | −0.0799188 | − | 0.00839981i | ||||
\(970\) | 15.5223 | − | 21.3647i | 0.498393 | − | 0.685979i | ||||
\(971\) | 34.1672 | − | 37.9465i | 1.09648 | − | 1.21776i | 0.122176 | − | 0.992508i | \(-0.461013\pi\) |
0.974301 | − | 0.225252i | \(-0.0723205\pi\) | |||||||
\(972\) | 2.84581 | + | 27.0761i | 0.0912795 | + | 0.868466i | ||||
\(973\) | 3.51019 | − | 16.5141i | 0.112532 | − | 0.529419i | ||||
\(974\) | −27.2467 | + | 83.8567i | −0.873040 | + | 2.68694i | ||||
\(975\) | −1.91813 | + | 1.24526i | −0.0614293 | + | 0.0398801i | ||||
\(976\) | −5.17415 | + | 15.9244i | −0.165620 | + | 0.509727i | ||||
\(977\) | 45.8944 | − | 41.3235i | 1.46829 | − | 1.32206i | 0.630335 | − | 0.776323i | \(-0.282917\pi\) |
0.837958 | − | 0.545734i | \(-0.183749\pi\) | |||||||
\(978\) | 4.73559 | − | 2.10842i | 0.151427 | − | 0.0674198i | ||||
\(979\) | 5.51738 | − | 1.17276i | 0.176336 | − | 0.0374814i | ||||
\(980\) | −61.0007 | + | 19.8203i | −1.94860 | + | 0.633137i | ||||
\(981\) | 8.21816 | − | 18.4583i | 0.262386 | − | 0.589328i | ||||
\(982\) | 32.5098 | + | 29.2719i | 1.03743 | + | 0.934105i | ||||
\(983\) | −18.1639 | + | 25.0005i | −0.579340 | + | 0.797393i | −0.993623 | − | 0.112755i | \(-0.964032\pi\) |
0.414283 | + | 0.910148i | \(0.364032\pi\) | |||||||
\(984\) | −0.0631107 | + | 0.600458i | −0.00201189 | + | 0.0191419i | ||||
\(985\) | −0.538379 | − | 5.12234i | −0.0171542 | − | 0.163211i | ||||
\(986\) | 37.4248 | + | 21.6072i | 1.19185 | + | 0.688115i | ||||
\(987\) | 0.154288 | 0.00491105 | ||||||||
\(988\) | −37.0685 | + | 9.92677i | −1.17931 | + | 0.315813i | ||||
\(989\) | −3.85052 | + | 11.8507i | −0.122439 | + | 0.376830i | ||||
\(990\) | 13.3607 | − | 62.8573i | 0.424632 | − | 1.99774i | ||||
\(991\) | 25.3286 | − | 43.8705i | 0.804591 | − | 1.39359i | −0.111976 | − | 0.993711i | \(-0.535718\pi\) |
0.916567 | − | 0.399881i | \(-0.130949\pi\) | |||||||
\(992\) | −4.92241 | − | 6.93049i | −0.156287 | − | 0.220043i | ||||
\(993\) | − | 3.95306i | − | 0.125447i | ||||||
\(994\) | 8.59099 | + | 7.73536i | 0.272490 | + | 0.245351i | ||||
\(995\) | −0.0860307 | − | 0.404743i | −0.00272736 | − | 0.0128312i | ||||
\(996\) | −6.70748 | − | 9.23205i | −0.212534 | − | 0.292529i | ||||
\(997\) | −20.9653 | − | 36.3129i | −0.663976 | − | 1.15004i | −0.979562 | − | 0.201143i | \(-0.935534\pi\) |
0.315586 | − | 0.948897i | \(-0.397799\pi\) | |||||||
\(998\) | −40.6872 | + | 70.4723i | −1.28793 | + | 2.23076i | ||||
\(999\) | 1.63449 | − | 0.171791i | 0.0517129 | − | 0.00543524i |
(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 | 403.2.bs.a.4.4 | ✓ | 288 | |
13.10 | even | 6 | inner | 403.2.bs.a.283.33 | yes | 288 | |
31.8 | even | 5 | inner | 403.2.bs.a.225.33 | yes | 288 | |
403.101 | even | 30 | inner | 403.2.bs.a.101.4 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bs.a.4.4 | ✓ | 288 | 1.1 | even | 1 | trivial | |
403.2.bs.a.101.4 | yes | 288 | 403.101 | even | 30 | inner | |
403.2.bs.a.225.33 | yes | 288 | 31.8 | even | 5 | inner | |
403.2.bs.a.283.33 | yes | 288 | 13.10 | even | 6 | inner |