Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.45 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.45 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.726381 | − | 1.85079i | 0.513629 | − | 1.30870i | −0.405265 | − | 0.914199i | \(-0.632821\pi\) |
0.918894 | − | 0.394505i | \(-0.129084\pi\) | |||||||
\(3\) | −1.21684 | + | 1.23260i | −0.702545 | + | 0.711639i | ||||
\(4\) | −1.43168 | − | 1.32841i | −0.715841 | − | 0.664204i | ||||
\(5\) | 3.50416 | − | 1.68752i | 1.56711 | − | 0.754680i | 0.569383 | − | 0.822072i | \(-0.307182\pi\) |
0.997727 | + | 0.0673918i | \(0.0214677\pi\) | |||||||
\(6\) | 1.39738 | + | 3.14745i | 0.570478 | + | 1.28494i | ||||
\(7\) | −0.412898 | + | 2.61333i | −0.156061 | + | 0.987747i | ||||
\(8\) | 0.0841140 | − | 0.0405072i | 0.0297388 | − | 0.0143215i | ||||
\(9\) | −0.0385833 | − | 2.99975i | −0.0128611 | − | 0.999917i | ||||
\(10\) | −0.577878 | − | 7.71124i | −0.182741 | − | 2.43851i | ||||
\(11\) | 2.33483 | + | 2.92778i | 0.703976 | + | 0.882759i | 0.997314 | − | 0.0732505i | \(-0.0233373\pi\) |
−0.293337 | + | 0.956009i | \(0.594766\pi\) | |||||||
\(12\) | 3.37952 | − | 0.148222i | 0.975584 | − | 0.0427879i | ||||
\(13\) | −1.94922 | + | 4.96653i | −0.540616 | + | 1.37747i | 0.355928 | + | 0.934513i | \(0.384165\pi\) |
−0.896544 | + | 0.442954i | \(0.853930\pi\) | |||||||
\(14\) | 4.53681 | + | 2.66246i | 1.21251 | + | 0.711573i | ||||
\(15\) | −2.18399 | + | 6.37266i | −0.563905 | + | 1.64541i | ||||
\(16\) | −0.305774 | − | 4.08027i | −0.0764434 | − | 1.02007i | ||||
\(17\) | 3.80518 | − | 3.53069i | 0.922892 | − | 0.856319i | −0.0670560 | − | 0.997749i | \(-0.521361\pi\) |
0.989948 | + | 0.141430i | \(0.0451701\pi\) | |||||||
\(18\) | −5.57993 | − | 2.10755i | −1.31520 | − | 0.496755i | ||||
\(19\) | −0.337170 | + | 0.583996i | −0.0773522 | + | 0.133978i | −0.902107 | − | 0.431513i | \(-0.857980\pi\) |
0.824755 | + | 0.565491i | \(0.191313\pi\) | |||||||
\(20\) | −7.25856 | − | 2.23897i | −1.62306 | − | 0.500649i | ||||
\(21\) | −2.71875 | − | 3.68895i | −0.593280 | − | 0.804996i | ||||
\(22\) | 7.11467 | − | 2.19458i | 1.51685 | − | 0.467887i | ||||
\(23\) | 1.10760 | − | 4.85272i | 0.230951 | − | 1.01186i | −0.717902 | − | 0.696144i | \(-0.754897\pi\) |
0.948853 | − | 0.315718i | \(-0.102245\pi\) | |||||||
\(24\) | −0.0524247 | + | 0.152969i | −0.0107011 | + | 0.0312248i | ||||
\(25\) | 6.31401 | − | 7.91751i | 1.26280 | − | 1.58350i | ||||
\(26\) | 7.77612 | + | 7.21518i | 1.52502 | + | 1.41501i | ||||
\(27\) | 3.74443 | + | 3.60267i | 0.720616 | + | 0.693334i | ||||
\(28\) | 4.06271 | − | 3.19297i | 0.767780 | − | 0.603414i | ||||
\(29\) | −8.40130 | − | 2.59146i | −1.56008 | − | 0.481222i | −0.609785 | − | 0.792567i | \(-0.708744\pi\) |
−0.950297 | + | 0.311345i | \(0.899221\pi\) | |||||||
\(30\) | 10.2080 | + | 8.67109i | 1.86372 | + | 1.58312i | ||||
\(31\) | 0.159191 | − | 0.275727i | 0.0285915 | − | 0.0495220i | −0.851376 | − | 0.524557i | \(-0.824231\pi\) |
0.879967 | + | 0.475035i | \(0.157564\pi\) | |||||||
\(32\) | −7.59539 | − | 2.34287i | −1.34269 | − | 0.414164i | ||||
\(33\) | −6.44988 | − | 0.684753i | −1.12278 | − | 0.119200i | ||||
\(34\) | −3.77055 | − | 9.60721i | −0.646644 | − | 1.64762i | ||||
\(35\) | 2.96318 | + | 9.85432i | 0.500870 | + | 1.66568i | ||||
\(36\) | −3.92965 | + | 4.34595i | −0.654942 | + | 0.724324i | ||||
\(37\) | −2.32638 | − | 0.717592i | −0.382454 | − | 0.117971i | 0.0975659 | − | 0.995229i | \(-0.468894\pi\) |
−0.480020 | + | 0.877258i | \(0.659371\pi\) | |||||||
\(38\) | 0.835939 | + | 1.04823i | 0.135607 | + | 0.170046i | ||||
\(39\) | −3.74983 | − | 8.44609i | −0.600453 | − | 1.35246i | ||||
\(40\) | 0.226393 | − | 0.283888i | 0.0357959 | − | 0.0448866i | ||||
\(41\) | 3.35113 | + | 2.28476i | 0.523359 | + | 0.356820i | 0.796001 | − | 0.605295i | \(-0.206945\pi\) |
−0.272642 | + | 0.962116i | \(0.587897\pi\) | |||||||
\(42\) | −8.80232 | + | 2.35225i | −1.35823 | + | 0.362960i | ||||
\(43\) | 1.07999 | − | 0.736322i | 0.164696 | − | 0.112288i | −0.478167 | − | 0.878269i | \(-0.658699\pi\) |
0.642863 | + | 0.765981i | \(0.277746\pi\) | |||||||
\(44\) | 0.546553 | − | 7.29325i | 0.0823960 | − | 1.09950i | ||||
\(45\) | −5.19733 | − | 10.4465i | −0.774773 | − | 1.55727i | ||||
\(46\) | −8.17682 | − | 5.57486i | −1.20561 | − | 0.821968i | ||||
\(47\) | 0.160904 | − | 0.409978i | 0.0234703 | − | 0.0598014i | −0.918658 | − | 0.395053i | \(-0.870726\pi\) |
0.942129 | + | 0.335252i | \(0.108821\pi\) | |||||||
\(48\) | 5.40140 | + | 4.58815i | 0.779624 | + | 0.662242i | ||||
\(49\) | −6.65903 | − | 2.15808i | −0.951290 | − | 0.308297i | ||||
\(50\) | −10.0673 | − | 17.4370i | −1.42373 | − | 2.46597i | ||||
\(51\) | −0.278395 | + | 8.98655i | −0.0389831 | + | 1.25837i | ||||
\(52\) | 9.38824 | − | 4.52114i | 1.30191 | − | 0.626969i | ||||
\(53\) | −4.50404 | + | 1.38931i | −0.618677 | + | 0.190837i | −0.588222 | − | 0.808699i | \(-0.700172\pi\) |
−0.0304552 | + | 0.999536i | \(0.509696\pi\) | |||||||
\(54\) | 9.38766 | − | 4.31324i | 1.27750 | − | 0.586957i | ||||
\(55\) | 13.1223 | + | 6.31936i | 1.76941 | + | 0.852102i | ||||
\(56\) | 0.0711283 | + | 0.236543i | 0.00950492 | + | 0.0316094i | ||||
\(57\) | −0.309547 | − | 1.12623i | −0.0410006 | − | 0.149172i | ||||
\(58\) | −10.8988 | + | 13.6666i | −1.43108 | + | 1.79452i | ||||
\(59\) | −2.78957 | + | 1.90189i | −0.363171 | + | 0.247606i | −0.731133 | − | 0.682235i | \(-0.761008\pi\) |
0.367962 | + | 0.929841i | \(0.380056\pi\) | |||||||
\(60\) | 11.5923 | − | 6.22239i | 1.49656 | − | 0.803307i | ||||
\(61\) | −1.34249 | + | 1.24565i | −0.171888 | + | 0.159489i | −0.761426 | − | 0.648252i | \(-0.775500\pi\) |
0.589538 | + | 0.807741i | \(0.299310\pi\) | |||||||
\(62\) | −0.394678 | − | 0.494911i | −0.0501242 | − | 0.0628538i | ||||
\(63\) | 7.85529 | + | 1.13776i | 0.989673 | + | 0.143344i | ||||
\(64\) | −4.75102 | + | 5.95759i | −0.593877 | + | 0.744699i | ||||
\(65\) | 1.55072 | + | 20.6929i | 0.192343 | + | 2.56664i | ||||
\(66\) | −5.95240 | + | 11.4400i | −0.732690 | + | 1.40816i | ||||
\(67\) | −7.75580 | + | 13.4334i | −0.947522 | + | 1.64116i | −0.196901 | + | 0.980423i | \(0.563088\pi\) |
−0.750621 | + | 0.660733i | \(0.770246\pi\) | |||||||
\(68\) | −10.1380 | −1.22941 | ||||||||
\(69\) | 4.63367 | + | 7.27023i | 0.557828 | + | 0.875233i | ||||
\(70\) | 20.3907 | + | 1.67377i | 2.43715 | + | 0.200053i | ||||
\(71\) | −0.577238 | + | 2.52905i | −0.0685056 | + | 0.300142i | −0.997561 | − | 0.0697976i | \(-0.977765\pi\) |
0.929056 | + | 0.369940i | \(0.120622\pi\) | |||||||
\(72\) | −0.124757 | − | 0.250758i | −0.0147027 | − | 0.0295522i | ||||
\(73\) | 13.3774 | + | 2.01631i | 1.56570 | + | 0.235992i | 0.873904 | − | 0.486099i | \(-0.161581\pi\) |
0.691798 | + | 0.722091i | \(0.256819\pi\) | |||||||
\(74\) | −3.01795 | + | 3.78438i | −0.350829 | + | 0.439926i | ||||
\(75\) | 2.07593 | + | 17.4170i | 0.239708 | + | 2.01114i | ||||
\(76\) | 1.25851 | − | 0.388198i | 0.144360 | − | 0.0445293i | ||||
\(77\) | −8.61531 | + | 4.89281i | −0.981806 | + | 0.557587i | ||||
\(78\) | −18.3557 | + | 0.805059i | −2.07838 | + | 0.0911549i | ||||
\(79\) | −1.44843 | − | 2.50875i | −0.162961 | − | 0.282257i | 0.772968 | − | 0.634445i | \(-0.218771\pi\) |
−0.935929 | + | 0.352188i | \(0.885438\pi\) | |||||||
\(80\) | −7.95700 | − | 13.7819i | −0.889619 | − | 1.54087i | ||||
\(81\) | −8.99702 | + | 0.231481i | −0.999669 | + | 0.0257201i | ||||
\(82\) | 6.66281 | − | 4.54263i | 0.735784 | − | 0.501649i | ||||
\(83\) | 0.980374 | + | 2.49795i | 0.107610 | + | 0.274186i | 0.974528 | − | 0.224264i | \(-0.0719979\pi\) |
−0.866918 | + | 0.498450i | \(0.833903\pi\) | |||||||
\(84\) | −1.00804 | + | 8.89302i | −0.109987 | + | 0.970308i | ||||
\(85\) | 7.37588 | − | 18.7934i | 0.800027 | − | 2.03843i | ||||
\(86\) | −0.578294 | − | 2.53367i | −0.0623591 | − | 0.273213i | ||||
\(87\) | 13.4173 | − | 7.20201i | 1.43848 | − | 0.772136i | ||||
\(88\) | 0.314988 | + | 0.151690i | 0.0335778 | + | 0.0161702i | ||||
\(89\) | −2.85347 | − | 7.27054i | −0.302468 | − | 0.770675i | −0.998607 | − | 0.0527682i | \(-0.983196\pi\) |
0.696139 | − | 0.717907i | \(-0.254900\pi\) | |||||||
\(90\) | −23.1095 | + | 2.03102i | −2.43596 | + | 0.214088i | ||||
\(91\) | −12.1744 | − | 7.14463i | −1.27622 | − | 0.748961i | ||||
\(92\) | −8.03213 | + | 5.47621i | −0.837407 | + | 0.570934i | ||||
\(93\) | 0.146149 | + | 0.531734i | 0.0151550 | + | 0.0551383i | ||||
\(94\) | −0.641904 | − | 0.595600i | −0.0662073 | − | 0.0614314i | ||||
\(95\) | −0.195997 | + | 2.61540i | −0.0201089 | + | 0.268334i | ||||
\(96\) | 12.1302 | − | 6.51114i | 1.23803 | − | 0.664541i | ||||
\(97\) | −4.95948 | + | 8.59007i | −0.503559 | + | 0.872189i | 0.496433 | + | 0.868075i | \(0.334643\pi\) |
−0.999992 | + | 0.00411401i | \(0.998690\pi\) | |||||||
\(98\) | −8.83114 | + | 10.7569i | −0.892079 | + | 1.08661i | ||||
\(99\) | 8.69252 | − | 7.11686i | 0.873632 | − | 0.715271i | ||||
\(100\) | −19.5573 | + | 2.94779i | −1.95573 | + | 0.294779i | ||||
\(101\) | −9.67712 | + | 4.66025i | −0.962909 | + | 0.463713i | −0.848194 | − | 0.529686i | \(-0.822310\pi\) |
−0.114715 | + | 0.993398i | \(0.536596\pi\) | |||||||
\(102\) | 16.4300 | + | 7.04291i | 1.62681 | + | 0.697352i | ||||
\(103\) | −8.13858 | + | 3.91933i | −0.801918 | + | 0.386183i | −0.789508 | − | 0.613740i | \(-0.789664\pi\) |
−0.0124093 | + | 0.999923i | \(0.503950\pi\) | |||||||
\(104\) | 0.0372234 | + | 0.496712i | 0.00365006 | + | 0.0487066i | ||||
\(105\) | −15.7521 | − | 8.33876i | −1.53725 | − | 0.813780i | ||||
\(106\) | −0.700325 | + | 9.34519i | −0.0680216 | + | 0.907685i | ||||
\(107\) | −0.113760 | − | 0.289855i | −0.0109976 | − | 0.0280213i | 0.925270 | − | 0.379310i | \(-0.123839\pi\) |
−0.936267 | + | 0.351289i | \(0.885743\pi\) | |||||||
\(108\) | −0.575021 | − | 10.1320i | −0.0553314 | − | 0.974953i | ||||
\(109\) | 5.62014 | − | 14.3199i | 0.538312 | − | 1.37160i | −0.360294 | − | 0.932839i | \(-0.617324\pi\) |
0.898606 | − | 0.438757i | \(-0.144581\pi\) | |||||||
\(110\) | 21.2276 | − | 19.6963i | 2.02397 | − | 1.87797i | ||||
\(111\) | 3.71534 | − | 1.99428i | 0.352644 | − | 0.189289i | ||||
\(112\) | 10.7894 | + | 0.885643i | 1.01950 | + | 0.0836854i | ||||
\(113\) | −12.9981 | − | 1.95915i | −1.22276 | − | 0.184302i | −0.494241 | − | 0.869325i | \(-0.664554\pi\) |
−0.728521 | + | 0.685024i | \(0.759792\pi\) | |||||||
\(114\) | −2.30926 | − | 0.245163i | −0.216282 | − | 0.0229616i | ||||
\(115\) | −4.30783 | − | 18.8738i | −0.401707 | − | 1.75999i | ||||
\(116\) | 8.58548 | + | 14.8705i | 0.797142 | + | 1.38069i | ||||
\(117\) | 14.9736 | + | 5.65555i | 1.38431 | + | 0.522856i | ||||
\(118\) | 1.49372 | + | 6.54439i | 0.137508 | + | 0.602460i | ||||
\(119\) | 7.65573 | + | 11.4020i | 0.701800 | + | 1.04522i | ||||
\(120\) | 0.0744340 | + | 0.624498i | 0.00679486 | + | 0.0570086i | ||||
\(121\) | −0.672748 | + | 2.94750i | −0.0611589 | + | 0.267955i | ||||
\(122\) | 1.33027 | + | 3.38947i | 0.120437 | + | 0.306868i | ||||
\(123\) | −6.89399 | + | 1.35039i | −0.621611 | + | 0.121761i | ||||
\(124\) | −0.594188 | + | 0.183283i | −0.0533597 | + | 0.0164593i | ||||
\(125\) | 4.43709 | − | 19.4402i | 0.396866 | − | 1.73878i | ||||
\(126\) | 7.81168 | − | 13.7120i | 0.695920 | − | 1.22156i | ||||
\(127\) | −1.62941 | − | 7.13892i | −0.144587 | − | 0.633477i | −0.994335 | − | 0.106288i | \(-0.966103\pi\) |
0.849748 | − | 0.527188i | \(-0.176754\pi\) | |||||||
\(128\) | −0.373335 | − | 0.646636i | −0.0329985 | − | 0.0571551i | ||||
\(129\) | −0.406587 | + | 2.22717i | −0.0357980 | + | 0.196092i | ||||
\(130\) | 39.4245 | + | 12.1609i | 3.45776 | + | 1.06658i | ||||
\(131\) | 0.995677 | + | 0.479493i | 0.0869927 | + | 0.0418935i | 0.476874 | − | 0.878972i | \(-0.341770\pi\) |
−0.389881 | + | 0.920865i | \(0.627484\pi\) | |||||||
\(132\) | 8.32456 | + | 9.54842i | 0.724560 | + | 0.831083i | ||||
\(133\) | −1.38696 | − | 1.12227i | −0.120265 | − | 0.0973131i | ||||
\(134\) | 19.2288 | + | 24.1121i | 1.66111 | + | 2.08297i | ||||
\(135\) | 19.2007 | + | 6.30556i | 1.65253 | + | 0.542696i | ||||
\(136\) | 0.177051 | − | 0.451118i | 0.0151820 | − | 0.0386831i | ||||
\(137\) | 17.8705 | + | 8.60596i | 1.52678 | + | 0.735257i | 0.993832 | − | 0.110893i | \(-0.0353711\pi\) |
0.532945 | + | 0.846150i | \(0.321085\pi\) | |||||||
\(138\) | 16.8215 | − | 3.29498i | 1.43194 | − | 0.280487i | ||||
\(139\) | −0.468769 | − | 0.319601i | −0.0397604 | − | 0.0271082i | 0.543277 | − | 0.839554i | \(-0.317183\pi\) |
−0.583037 | + | 0.812445i | \(0.698136\pi\) | |||||||
\(140\) | 8.84822 | − | 18.0446i | 0.747811 | − | 1.52505i | ||||
\(141\) | 0.309541 | + | 0.697209i | 0.0260681 | + | 0.0587155i | ||||
\(142\) | 4.26143 | + | 2.90539i | 0.357611 | + | 0.243815i | ||||
\(143\) | −19.0920 | + | 5.88910i | −1.59655 | + | 0.492471i | ||||
\(144\) | −12.2280 | + | 1.07468i | −1.01900 | + | 0.0895563i | ||||
\(145\) | −33.8127 | + | 5.09644i | −2.80799 | + | 0.423236i | ||||
\(146\) | 13.4488 | − | 23.2941i | 1.11303 | − | 1.92783i | ||||
\(147\) | 10.7630 | − | 5.58185i | 0.887720 | − | 0.460383i | ||||
\(148\) | 2.37738 | + | 4.11774i | 0.195419 | + | 0.338476i | ||||
\(149\) | −5.57172 | − | 6.98671i | −0.456453 | − | 0.572374i | 0.499343 | − | 0.866404i | \(-0.333575\pi\) |
−0.955796 | + | 0.294031i | \(0.905003\pi\) | |||||||
\(150\) | 33.7431 | + | 8.80925i | 2.75511 | + | 0.719273i | ||||
\(151\) | −2.74733 | + | 12.0368i | −0.223575 | + | 0.979544i | 0.731188 | + | 0.682176i | \(0.238966\pi\) |
−0.954763 | + | 0.297368i | \(0.903891\pi\) | |||||||
\(152\) | −0.00470472 | + | 0.0627801i | −0.000381603 | + | 0.00509214i | ||||
\(153\) | −10.7380 | − | 11.2784i | −0.868117 | − | 0.911803i | ||||
\(154\) | 2.79755 | + | 19.4991i | 0.225433 | + | 1.57129i | ||||
\(155\) | 0.0925376 | − | 1.23483i | 0.00743280 | − | 0.0991839i | ||||
\(156\) | −5.85128 | + | 17.0734i | −0.468478 | + | 1.36697i | ||||
\(157\) | 2.43814 | − | 1.66230i | 0.194585 | − | 0.132666i | −0.462108 | − | 0.886823i | \(-0.652907\pi\) |
0.656693 | + | 0.754158i | \(0.271955\pi\) | |||||||
\(158\) | −5.69528 | + | 0.858425i | −0.453092 | + | 0.0682926i | ||||
\(159\) | 3.76825 | − | 7.24223i | 0.298842 | − | 0.574346i | ||||
\(160\) | −30.5691 | + | 4.60755i | −2.41670 | + | 0.364259i | ||||
\(161\) | 12.2245 | + | 4.89821i | 0.963422 | + | 0.386033i | ||||
\(162\) | −6.10684 | + | 16.8197i | −0.479799 | + | 1.32148i | ||||
\(163\) | −0.613370 | + | 0.418189i | −0.0480429 | + | 0.0327551i | −0.587103 | − | 0.809512i | \(-0.699732\pi\) |
0.539061 | + | 0.842267i | \(0.318779\pi\) | |||||||
\(164\) | −1.76266 | − | 7.72273i | −0.137641 | − | 0.603044i | ||||
\(165\) | −23.7570 | + | 8.48480i | −1.84948 | + | 0.660541i | ||||
\(166\) | 5.33530 | 0.414100 | ||||||||
\(167\) | 11.5537 | − | 10.7202i | 0.894049 | − | 0.829556i | −0.0920435 | − | 0.995755i | \(-0.529340\pi\) |
0.986092 | + | 0.166199i | \(0.0531494\pi\) | |||||||
\(168\) | −0.378114 | − | 0.200164i | −0.0291722 | − | 0.0154430i | ||||
\(169\) | −11.3373 | − | 10.5195i | −0.872099 | − | 0.809190i | ||||
\(170\) | −29.4250 | − | 27.3024i | −2.25679 | − | 2.09400i | ||||
\(171\) | 1.76485 | + | 0.988895i | 0.134962 | + | 0.0756227i | ||||
\(172\) | −2.52433 | − | 0.380482i | −0.192478 | − | 0.0290115i | ||||
\(173\) | −4.92247 | + | 1.51838i | −0.374249 | + | 0.115440i | −0.476173 | − | 0.879352i | \(-0.657976\pi\) |
0.101924 | + | 0.994792i | \(0.467500\pi\) | |||||||
\(174\) | −3.58333 | − | 30.0639i | −0.271651 | − | 2.27914i | ||||
\(175\) | 18.0841 | + | 19.7697i | 1.36703 | + | 1.49445i | ||||
\(176\) | 11.2322 | − | 10.4219i | 0.846658 | − | 0.785584i | ||||
\(177\) | 1.05020 | − | 5.75271i | 0.0789378 | − | 0.432400i | ||||
\(178\) | −15.5289 | −1.16394 | ||||||||
\(179\) | −6.53205 | + | 6.06086i | −0.488229 | + | 0.453010i | −0.885465 | − | 0.464707i | \(-0.846160\pi\) |
0.397236 | + | 0.917716i | \(0.369969\pi\) | |||||||
\(180\) | −6.43629 | + | 21.8603i | −0.479733 | + | 1.62937i | ||||
\(181\) | −3.10629 | + | 3.89517i | −0.230889 | + | 0.289525i | −0.883757 | − | 0.467946i | \(-0.844994\pi\) |
0.652868 | + | 0.757472i | \(0.273566\pi\) | |||||||
\(182\) | −22.0664 | + | 17.3425i | −1.63567 | + | 1.28551i | ||||
\(183\) | 0.0982192 | − | 3.17050i | 0.00726057 | − | 0.234370i | ||||
\(184\) | −0.103405 | − | 0.453048i | −0.00762314 | − | 0.0333991i | ||||
\(185\) | −9.36295 | + | 1.41124i | −0.688378 | + | 0.103756i | ||||
\(186\) | 1.09029 | + | 0.115751i | 0.0799437 | + | 0.00848724i | ||||
\(187\) | 19.2215 | + | 2.89718i | 1.40562 | + | 0.211863i | ||||
\(188\) | −0.774981 | + | 0.373211i | −0.0565213 | + | 0.0272192i | ||||
\(189\) | −10.9611 | + | 8.29791i | −0.797299 | + | 0.603584i | ||||
\(190\) | 4.69818 | + | 2.26252i | 0.340842 | + | 0.164141i | ||||
\(191\) | −22.1063 | − | 15.0718i | −1.59955 | − | 1.09056i | −0.941201 | − | 0.337847i | \(-0.890301\pi\) |
−0.658353 | − | 0.752710i | \(-0.728746\pi\) | |||||||
\(192\) | −1.56205 | − | 13.1055i | −0.112731 | − | 0.945811i | ||||
\(193\) | 0.843644 | − | 11.2577i | 0.0607268 | − | 0.810343i | −0.880818 | − | 0.473455i | \(-0.843007\pi\) |
0.941545 | − | 0.336888i | \(-0.109374\pi\) | |||||||
\(194\) | 12.2959 | + | 15.4186i | 0.882796 | + | 1.10699i | ||||
\(195\) | −27.3929 | − | 23.2686i | −1.96165 | − | 1.66630i | ||||
\(196\) | 6.66681 | + | 11.9356i | 0.476201 | + | 0.852542i | ||||
\(197\) | 14.4656 | 1.03063 | 0.515316 | − | 0.857000i | \(-0.327675\pi\) | ||||
0.515316 | + | 0.857000i | \(0.327675\pi\) | |||||||
\(198\) | −6.85772 | − | 21.2576i | −0.487357 | − | 1.51071i | ||||
\(199\) | 5.47896 | + | 3.73549i | 0.388393 | + | 0.264802i | 0.741736 | − | 0.670692i | \(-0.234003\pi\) |
−0.353343 | + | 0.935494i | \(0.614955\pi\) | |||||||
\(200\) | 0.210380 | − | 0.921737i | 0.0148761 | − | 0.0651766i | ||||
\(201\) | −7.12040 | − | 25.9062i | −0.502235 | − | 1.82728i | ||||
\(202\) | 1.59587 | + | 21.2954i | 0.112285 | + | 1.49834i | ||||
\(203\) | 10.2412 | − | 20.8854i | 0.718793 | − | 1.46587i | ||||
\(204\) | 12.3364 | − | 12.4961i | 0.863719 | − | 0.874900i | ||||
\(205\) | 15.5985 | + | 2.35110i | 1.08945 | + | 0.164208i | ||||
\(206\) | 1.34215 | + | 17.9097i | 0.0935118 | + | 1.24783i | ||||
\(207\) | −14.5997 | − | 3.13530i | −1.01475 | − | 0.217918i | ||||
\(208\) | 20.8608 | + | 6.43470i | 1.44644 | + | 0.446166i | ||||
\(209\) | −2.49705 | + | 0.376369i | −0.172724 | + | 0.0260340i | ||||
\(210\) | −26.8753 | + | 23.0967i | −1.85457 | + | 1.59383i | ||||
\(211\) | −22.8339 | − | 3.44166i | −1.57195 | − | 0.236934i | −0.695538 | − | 0.718489i | \(-0.744834\pi\) |
−0.876416 | + | 0.481555i | \(0.840072\pi\) | |||||||
\(212\) | 8.29392 | + | 3.99414i | 0.569629 | + | 0.274319i | ||||
\(213\) | −2.41488 | − | 3.78895i | −0.165465 | − | 0.259615i | ||||
\(214\) | −0.619092 | −0.0423203 | ||||||||
\(215\) | 2.54189 | − | 4.40269i | 0.173356 | − | 0.300261i | ||||
\(216\) | 0.460893 | + | 0.151359i | 0.0313598 | + | 0.0102987i | ||||
\(217\) | 0.654837 | + | 0.529866i | 0.0444532 | + | 0.0359696i | ||||
\(218\) | −22.4207 | − | 20.8034i | −1.51852 | − | 1.40898i | ||||
\(219\) | −18.7635 | + | 14.0353i | −1.26792 | + | 0.948421i | ||||
\(220\) | −10.3923 | − | 26.4791i | −0.700646 | − | 1.78522i | ||||
\(221\) | 10.1182 | + | 25.7806i | 0.680621 | + | 1.73419i | ||||
\(222\) | −0.992247 | − | 8.32491i | −0.0665953 | − | 0.558731i | ||||
\(223\) | 3.22996 | + | 2.99697i | 0.216294 | + | 0.200692i | 0.780877 | − | 0.624685i | \(-0.214772\pi\) |
−0.564583 | + | 0.825376i | \(0.690963\pi\) | |||||||
\(224\) | 9.25881 | − | 18.8819i | 0.618631 | − | 1.26160i | ||||
\(225\) | −23.9942 | − | 18.6350i | −1.59961 | − | 1.24233i | ||||
\(226\) | −13.0676 | + | 22.6337i | −0.869242 | + | 1.50557i | ||||
\(227\) | 15.0591 | 0.999510 | 0.499755 | − | 0.866167i | \(-0.333423\pi\) | ||||
0.499755 | + | 0.866167i | \(0.333423\pi\) | |||||||
\(228\) | −1.05291 | + | 2.02360i | −0.0697309 | + | 0.134016i | ||||
\(229\) | −15.9126 | − | 7.66313i | −1.05154 | − | 0.506394i | −0.173424 | − | 0.984847i | \(-0.555483\pi\) |
−0.878113 | + | 0.478453i | \(0.841198\pi\) | |||||||
\(230\) | −38.0606 | − | 5.73671i | −2.50964 | − | 0.378267i | ||||
\(231\) | 4.45263 | − | 16.5730i | 0.292962 | − | 1.09042i | ||||
\(232\) | −0.811640 | + | 0.122335i | −0.0532868 | + | 0.00803169i | ||||
\(233\) | 27.1596 | + | 8.37762i | 1.77928 | + | 0.548836i | 0.997230 | − | 0.0743750i | \(-0.0236962\pi\) |
0.782053 | + | 0.623211i | \(0.214172\pi\) | |||||||
\(234\) | 21.3437 | − | 23.6048i | 1.39528 | − | 1.54309i | ||||
\(235\) | −0.128009 | − | 1.70816i | −0.00835037 | − | 0.111428i | ||||
\(236\) | 6.52026 | + | 0.982771i | 0.424433 | + | 0.0639730i | ||||
\(237\) | 4.85479 | + | 1.26743i | 0.315352 | + | 0.0823286i | ||||
\(238\) | 26.6637 | − | 5.88692i | 1.72835 | − | 0.381592i | ||||
\(239\) | 0.672220 | + | 8.97015i | 0.0434823 | + | 0.580231i | 0.975811 | + | 0.218618i | \(0.0701548\pi\) |
−0.932328 | + | 0.361613i | \(0.882226\pi\) | |||||||
\(240\) | 26.6700 | + | 6.96269i | 1.72154 | + | 0.449440i | ||||
\(241\) | −2.59733 | + | 11.3797i | −0.167309 | + | 0.733029i | 0.819757 | + | 0.572712i | \(0.194109\pi\) |
−0.987066 | + | 0.160317i | \(0.948748\pi\) | |||||||
\(242\) | 4.96653 | + | 3.38612i | 0.319260 | + | 0.217668i | ||||
\(243\) | 10.6626 | − | 11.3714i | 0.684009 | − | 0.729473i | ||||
\(244\) | 3.57674 | 0.228977 | ||||||||
\(245\) | −26.9761 | + | 3.67496i | −1.72344 | + | 0.234785i | ||||
\(246\) | −2.50838 | + | 13.7402i | −0.159928 | + | 0.876044i | ||||
\(247\) | −2.24322 | − | 2.81290i | −0.142732 | − | 0.178981i | ||||
\(248\) | 0.00222128 | − | 0.0296409i | 0.000141051 | − | 0.00188220i | ||||
\(249\) | −4.27192 | − | 1.83121i | −0.270722 | − | 0.116048i | ||||
\(250\) | −32.7566 | − | 22.3331i | −2.07171 | − | 1.41247i | ||||
\(251\) | 4.97014 | + | 2.39349i | 0.313713 | + | 0.151076i | 0.584114 | − | 0.811672i | \(-0.301442\pi\) |
−0.270401 | + | 0.962748i | \(0.587156\pi\) | |||||||
\(252\) | −9.73487 | − | 12.0639i | −0.613239 | − | 0.759956i | ||||
\(253\) | 16.7938 | − | 8.08745i | 1.05581 | − | 0.508453i | ||||
\(254\) | −14.3962 | − | 2.16988i | −0.903298 | − | 0.136150i | ||||
\(255\) | 14.1894 | + | 31.9602i | 0.888576 | + | 2.00142i | ||||
\(256\) | −16.5378 | + | 2.49268i | −1.03361 | + | 0.155792i | ||||
\(257\) | −0.943774 | − | 4.13494i | −0.0588710 | − | 0.257931i | 0.936925 | − | 0.349531i | \(-0.113659\pi\) |
−0.995796 | + | 0.0916001i | \(0.970802\pi\) | |||||||
\(258\) | 3.82669 | + | 2.37028i | 0.238239 | + | 0.147567i | ||||
\(259\) | 2.83586 | − | 5.78331i | 0.176212 | − | 0.359357i | ||||
\(260\) | 25.2684 | − | 31.6856i | 1.56708 | − | 1.96506i | ||||
\(261\) | −7.44958 | + | 25.3018i | −0.461117 | + | 1.56614i | ||||
\(262\) | 1.61068 | − | 1.49449i | 0.0995081 | − | 0.0923301i | ||||
\(263\) | 13.0508 | 0.804745 | 0.402372 | − | 0.915476i | \(-0.368186\pi\) | ||||
0.402372 | + | 0.915476i | \(0.368186\pi\) | |||||||
\(264\) | −0.570263 | + | 0.203669i | −0.0350973 | + | 0.0125350i | ||||
\(265\) | −13.4384 | + | 12.4690i | −0.825515 | + | 0.765966i | ||||
\(266\) | −3.08454 | + | 1.75177i | −0.189125 | + | 0.107408i | ||||
\(267\) | 12.4339 | + | 5.32992i | 0.760940 | + | 0.326186i | ||||
\(268\) | 28.9489 | − | 8.92956i | 1.76834 | − | 0.545460i | ||||
\(269\) | −1.33429 | − | 0.201112i | −0.0813532 | − | 0.0122620i | 0.108240 | − | 0.994125i | \(-0.465479\pi\) |
−0.189593 | + | 0.981863i | \(0.560717\pi\) | |||||||
\(270\) | 25.6173 | − | 30.9561i | 1.55902 | − | 1.88393i | ||||
\(271\) | −5.87653 | − | 5.45262i | −0.356974 | − | 0.331223i | 0.481216 | − | 0.876602i | \(-0.340195\pi\) |
−0.838190 | + | 0.545379i | \(0.816386\pi\) | |||||||
\(272\) | −15.5697 | − | 14.4466i | −0.944051 | − | 0.875952i | ||||
\(273\) | 23.6207 | − | 6.31218i | 1.42959 | − | 0.382031i | ||||
\(274\) | 28.9086 | − | 26.8232i | 1.74643 | − | 1.62045i | ||||
\(275\) | 37.9228 | 2.28683 | ||||||||
\(276\) | 3.02389 | − | 16.5641i | 0.182017 | − | 0.997039i | ||||
\(277\) | −4.14426 | − | 18.1572i | −0.249005 | − | 1.09096i | −0.932547 | − | 0.361050i | \(-0.882418\pi\) |
0.683542 | − | 0.729911i | \(-0.260439\pi\) | |||||||
\(278\) | −0.932018 | + | 0.635439i | −0.0558987 | + | 0.0381111i | ||||
\(279\) | −0.833254 | − | 0.466895i | −0.0498856 | − | 0.0279523i | ||||
\(280\) | 0.648416 | + | 0.708857i | 0.0387503 | + | 0.0423623i | ||||
\(281\) | 16.5757 | − | 2.49839i | 0.988824 | − | 0.149041i | 0.365337 | − | 0.930875i | \(-0.380954\pi\) |
0.623487 | + | 0.781834i | \(0.285716\pi\) | |||||||
\(282\) | 1.51523 | − | 0.0664561i | 0.0902306 | − | 0.00395740i | ||||
\(283\) | −17.2304 | + | 2.59706i | −1.02424 | + | 0.154379i | −0.639617 | − | 0.768694i | \(-0.720907\pi\) |
−0.384624 | + | 0.923074i | \(0.625669\pi\) | |||||||
\(284\) | 4.18602 | − | 2.85398i | 0.248395 | − | 0.169353i | ||||
\(285\) | −2.98523 | − | 3.42412i | −0.176830 | − | 0.202827i | ||||
\(286\) | −2.96858 | + | 39.6129i | −0.175536 | + | 2.34236i | ||||
\(287\) | −7.35453 | + | 7.81426i | −0.434124 | + | 0.461261i | ||||
\(288\) | −6.73497 | + | 22.8747i | −0.396862 | + | 1.34790i | ||||
\(289\) | 0.743206 | − | 9.91740i | 0.0437180 | − | 0.583376i | ||||
\(290\) | −15.1284 | + | 66.2820i | −0.888372 | + | 3.89221i | ||||
\(291\) | −4.55317 | − | 16.5658i | −0.266912 | − | 0.971104i | ||||
\(292\) | −16.4737 | − | 20.6573i | −0.964048 | − | 1.20888i | ||||
\(293\) | 12.9539 | + | 22.4368i | 0.756775 | + | 1.31077i | 0.944487 | + | 0.328549i | \(0.106559\pi\) |
−0.187712 | + | 0.982224i | \(0.560107\pi\) | |||||||
\(294\) | −2.51275 | − | 23.9746i | −0.146547 | − | 1.39823i | ||||
\(295\) | −6.56562 | + | 11.3720i | −0.382265 | + | 0.662103i | ||||
\(296\) | −0.224749 | + | 0.0338754i | −0.0130632 | + | 0.00196897i | ||||
\(297\) | −1.80523 | + | 19.3745i | −0.104750 | + | 1.12422i | ||||
\(298\) | −16.9781 | + | 5.23705i | −0.983515 | + | 0.303374i | ||||
\(299\) | 21.9422 | + | 14.9600i | 1.26895 | + | 0.865157i | ||||
\(300\) | 20.1648 | − | 27.6933i | 1.16421 | − | 1.59887i | ||||
\(301\) | 1.47833 | + | 3.12639i | 0.0852096 | + | 0.180202i | ||||
\(302\) | 20.2820 | + | 13.8281i | 1.16710 | + | 0.795715i | ||||
\(303\) | 6.03133 | − | 17.5988i | 0.346491 | − | 1.01102i | ||||
\(304\) | 2.48596 | + | 1.19717i | 0.142579 | + | 0.0686626i | ||||
\(305\) | −2.60225 | + | 6.63042i | −0.149004 | + | 0.379656i | ||||
\(306\) | −28.6738 | + | 11.6814i | −1.63917 | + | 0.667781i | ||||
\(307\) | −17.6389 | − | 22.1185i | −1.00671 | − | 1.26237i | −0.964727 | − | 0.263251i | \(-0.915205\pi\) |
−0.0419787 | − | 0.999119i | \(-0.513366\pi\) | |||||||
\(308\) | 18.8340 | + | 4.43969i | 1.07317 | + | 0.252975i | ||||
\(309\) | 5.07242 | − | 14.8008i | 0.288560 | − | 0.841987i | ||||
\(310\) | −2.21819 | − | 1.06822i | −0.125985 | − | 0.0606710i | ||||
\(311\) | −22.4765 | − | 6.93308i | −1.27452 | − | 0.393139i | −0.417624 | − | 0.908620i | \(-0.637137\pi\) |
−0.856901 | + | 0.515481i | \(0.827613\pi\) | |||||||
\(312\) | −0.657540 | − | 0.558540i | −0.0372259 | − | 0.0316211i | ||||
\(313\) | 4.93147 | + | 8.54155i | 0.278743 | + | 0.482797i | 0.971073 | − | 0.238784i | \(-0.0767489\pi\) |
−0.692330 | + | 0.721581i | \(0.743416\pi\) | |||||||
\(314\) | −1.30554 | − | 5.71995i | −0.0736759 | − | 0.322795i | ||||
\(315\) | 29.4462 | − | 9.26903i | 1.65911 | − | 0.522251i | ||||
\(316\) | −1.25895 | + | 5.51584i | −0.0708217 | + | 0.310290i | ||||
\(317\) | 2.40315 | − | 0.741274i | 0.134975 | − | 0.0416341i | −0.226532 | − | 0.974004i | \(-0.572739\pi\) |
0.361506 | + | 0.932370i | \(0.382263\pi\) | |||||||
\(318\) | −10.6667 | − | 12.2348i | −0.598156 | − | 0.686096i | ||||
\(319\) | −12.0284 | − | 30.6478i | −0.673459 | − | 1.71594i | ||||
\(320\) | −6.59482 | + | 28.8938i | −0.368662 | + | 1.61521i | ||||
\(321\) | 0.495701 | + | 0.212488i | 0.0276673 | + | 0.0118599i | ||||
\(322\) | 17.9452 | − | 19.0669i | 1.00004 | − | 1.06256i | ||||
\(323\) | 0.778917 | + | 3.41266i | 0.0433401 | + | 0.189885i | ||||
\(324\) | 13.1884 | + | 11.6203i | 0.732688 | + | 0.645572i | ||||
\(325\) | 27.0152 | + | 46.7917i | 1.49853 | + | 2.59553i | ||||
\(326\) | 0.328438 | + | 1.43898i | 0.0181905 | + | 0.0796979i | ||||
\(327\) | 10.8118 | + | 24.3524i | 0.597893 | + | 1.34669i | ||||
\(328\) | 0.374427 | + | 0.0564357i | 0.0206743 | + | 0.00311614i | ||||
\(329\) | 1.00497 | + | 0.589776i | 0.0554059 | + | 0.0325154i | ||||
\(330\) | −1.55305 | + | 50.1323i | −0.0854928 | + | 2.75969i | ||||
\(331\) | 22.0220 | − | 20.4334i | 1.21044 | − | 1.12312i | 0.221441 | − | 0.975174i | \(-0.428924\pi\) |
0.988995 | − | 0.147947i | \(-0.0472664\pi\) | |||||||
\(332\) | 1.91471 | − | 4.87861i | 0.105084 | − | 0.267748i | ||||
\(333\) | −2.06284 | + | 7.00624i | −0.113043 | + | 0.383940i | ||||
\(334\) | −11.4485 | − | 29.1703i | −0.626435 | − | 1.59613i | ||||
\(335\) | −4.50845 | + | 60.1610i | −0.246323 | + | 3.28695i | ||||
\(336\) | −14.2206 | + | 12.2212i | −0.775797 | + | 0.666722i | ||||
\(337\) | −1.52523 | − | 20.3528i | −0.0830848 | − | 1.10869i | −0.870468 | − | 0.492225i | \(-0.836184\pi\) |
0.787383 | − | 0.616464i | \(-0.211435\pi\) | |||||||
\(338\) | −27.7045 | + | 13.3418i | −1.50693 | + | 0.725697i | ||||
\(339\) | 18.2315 | − | 13.6375i | 0.990201 | − | 0.740685i | ||||
\(340\) | −35.5253 | + | 17.1081i | −1.92663 | + | 0.927815i | ||||
\(341\) | 1.17895 | − | 0.177698i | 0.0638437 | − | 0.00962289i | ||||
\(342\) | 3.11219 | − | 2.54805i | 0.168288 | − | 0.137783i | ||||
\(343\) | 8.38928 | − | 16.5112i | 0.452978 | − | 0.891521i | ||||
\(344\) | 0.0610156 | − | 0.105682i | 0.00328974 | − | 0.00569800i | ||||
\(345\) | 28.5058 | + | 17.6567i | 1.53470 | + | 0.950604i | ||||
\(346\) | −0.765387 | + | 10.2134i | −0.0411474 | + | 0.549075i | ||||
\(347\) | −11.9175 | − | 11.0579i | −0.639767 | − | 0.593617i | 0.292113 | − | 0.956384i | \(-0.405642\pi\) |
−0.931880 | + | 0.362767i | \(0.881832\pi\) | |||||||
\(348\) | −28.7765 | − | 7.51264i | −1.54258 | − | 0.402720i | ||||
\(349\) | 3.58270 | − | 2.44264i | 0.191777 | − | 0.130752i | −0.463625 | − | 0.886032i | \(-0.653451\pi\) |
0.655402 | + | 0.755280i | \(0.272499\pi\) | |||||||
\(350\) | 49.7255 | − | 19.1094i | 2.65794 | − | 1.02144i | ||||
\(351\) | −25.1915 | + | 11.5744i | −1.34462 | + | 0.617797i | ||||
\(352\) | −10.8745 | − | 27.7078i | −0.579614 | − | 1.47683i | ||||
\(353\) | 4.50981 | + | 2.17181i | 0.240033 | + | 0.115594i | 0.550034 | − | 0.835143i | \(-0.314615\pi\) |
−0.310000 | + | 0.950736i | \(0.600329\pi\) | |||||||
\(354\) | −9.88421 | − | 6.12236i | −0.525340 | − | 0.325400i | ||||
\(355\) | 2.24507 | + | 9.83629i | 0.119156 | + | 0.522056i | ||||
\(356\) | −5.57296 | + | 14.1997i | −0.295366 | + | 0.752581i | ||||
\(357\) | −23.3699 | − | 4.43806i | −1.23687 | − | 0.234887i | ||||
\(358\) | 6.47261 | + | 16.4919i | 0.342088 | + | 0.871626i | ||||
\(359\) | 14.4139 | − | 9.82721i | 0.760735 | − | 0.518660i | −0.119710 | − | 0.992809i | \(-0.538196\pi\) |
0.880445 | + | 0.474149i | \(0.157244\pi\) | |||||||
\(360\) | −0.860328 | − | 0.668169i | −0.0453432 | − | 0.0352156i | ||||
\(361\) | 9.27263 | + | 16.0607i | 0.488033 | + | 0.845298i | ||||
\(362\) | 4.95278 | + | 8.57846i | 0.260312 | + | 0.450874i | ||||
\(363\) | −2.81445 | − | 4.41587i | −0.147720 | − | 0.231773i | ||||
\(364\) | 7.93886 | + | 26.4014i | 0.416109 | + | 1.38381i | ||||
\(365\) | 50.2791 | − | 15.5090i | 2.63173 | − | 0.811780i | ||||
\(366\) | −5.79658 | − | 2.48477i | −0.302992 | − | 0.129881i | ||||
\(367\) | −8.27526 | + | 10.3768i | −0.431965 | + | 0.541667i | −0.949406 | − | 0.314052i | \(-0.898313\pi\) |
0.517441 | + | 0.855719i | \(0.326885\pi\) | |||||||
\(368\) | −20.1391 | − | 3.03548i | −1.04982 | − | 0.158235i | ||||
\(369\) | 6.72443 | − | 10.1407i | 0.350060 | − | 0.527905i | ||||
\(370\) | −4.18917 | + | 18.3539i | −0.217784 | + | 0.954176i | ||||
\(371\) | −1.77103 | − | 12.3442i | −0.0919473 | − | 0.640879i | ||||
\(372\) | 0.497121 | − | 0.955420i | 0.0257745 | − | 0.0495362i | ||||
\(373\) | 25.4843 | 1.31953 | 0.659764 | − | 0.751473i | \(-0.270656\pi\) | ||||
0.659764 | + | 0.751473i | \(0.270656\pi\) | |||||||
\(374\) | 19.3242 | − | 33.4705i | 0.999231 | − | 1.73072i | ||||
\(375\) | 18.5626 | + | 29.1248i | 0.958570 | + | 1.50400i | ||||
\(376\) | −0.00307272 | − | 0.0410027i | −0.000158464 | − | 0.00211455i | ||||
\(377\) | 29.2465 | − | 36.6740i | 1.50627 | − | 1.88881i | ||||
\(378\) | 7.39578 | + | 26.3140i | 0.380398 | + | 1.35345i | ||||
\(379\) | 3.03213 | + | 3.80217i | 0.155750 | + | 0.195304i | 0.853584 | − | 0.520955i | \(-0.174424\pi\) |
−0.697834 | + | 0.716259i | \(0.745853\pi\) | |||||||
\(380\) | 3.75492 | − | 3.48406i | 0.192623 | − | 0.178728i | ||||
\(381\) | 10.7821 | + | 6.67854i | 0.552386 | + | 0.342152i | ||||
\(382\) | −43.9523 | + | 29.9661i | −2.24879 | + | 1.53320i | ||||
\(383\) | 13.8791 | − | 17.4038i | 0.709187 | − | 0.889292i | −0.288486 | − | 0.957484i | \(-0.593152\pi\) |
0.997672 | + | 0.0681924i | \(0.0217232\pi\) | |||||||
\(384\) | 1.25133 | + | 0.326683i | 0.0638567 | + | 0.0166710i | ||||
\(385\) | −21.9328 | + | 31.6837i | −1.11780 | + | 1.61475i | ||||
\(386\) | −20.2227 | − | 9.73875i | −1.02931 | − | 0.495689i | ||||
\(387\) | −2.25045 | − | 3.21128i | −0.114397 | − | 0.163238i | ||||
\(388\) | 18.5115 | − | 5.71004i | 0.939779 | − | 0.289883i | ||||
\(389\) | −5.88057 | + | 2.83193i | −0.298157 | + | 0.143585i | −0.576981 | − | 0.816757i | \(-0.695769\pi\) |
0.278825 | + | 0.960342i | \(0.410055\pi\) | |||||||
\(390\) | −62.9629 | + | 33.7966i | −3.18825 | + | 1.71136i | ||||
\(391\) | −12.9188 | − | 22.3761i | −0.653334 | − | 1.13161i | ||||
\(392\) | −0.647536 | + | 0.0882139i | −0.0327055 | + | 0.00445548i | ||||
\(393\) | −1.80260 | + | 0.643799i | −0.0909293 | + | 0.0324754i | ||||
\(394\) | 10.5075 | − | 26.7728i | 0.529362 | − | 1.34879i | ||||
\(395\) | −9.30909 | − | 6.34683i | −0.468391 | − | 0.319344i | ||||
\(396\) | −21.8990 | − | 1.35813i | −1.10047 | − | 0.0682484i | ||||
\(397\) | −1.56641 | + | 20.9023i | −0.0786158 | + | 1.04905i | 0.808800 | + | 0.588084i | \(0.200118\pi\) |
−0.887415 | + | 0.460971i | \(0.847501\pi\) | |||||||
\(398\) | 10.8934 | − | 7.42701i | 0.546038 | − | 0.372282i | ||||
\(399\) | 3.07102 | − | 0.343935i | 0.153743 | − | 0.0172183i | ||||
\(400\) | −34.2362 | − | 23.3419i | −1.71181 | − | 1.16709i | ||||
\(401\) | 7.28316 | − | 9.13280i | 0.363704 | − | 0.456070i | −0.565985 | − | 0.824415i | \(-0.691504\pi\) |
0.929689 | + | 0.368345i | \(0.120076\pi\) | |||||||
\(402\) | −53.1189 | − | 5.63938i | −2.64933 | − | 0.281267i | ||||
\(403\) | 1.05911 | + | 1.32808i | 0.0527579 | + | 0.0661563i | ||||
\(404\) | 20.0453 | + | 6.18315i | 0.997289 | + | 0.307623i | ||||
\(405\) | −31.1364 | + | 15.9938i | −1.54718 | + | 0.794737i | ||||
\(406\) | −31.2154 | − | 34.1251i | −1.54919 | − | 1.69360i | ||||
\(407\) | −3.33073 | − | 8.48657i | −0.165098 | − | 0.420664i | ||||
\(408\) | 0.340603 | + | 0.767172i | 0.0168624 | + | 0.0379807i | ||||
\(409\) | 23.0234 | + | 7.10178i | 1.13843 | + | 0.351160i | 0.805970 | − | 0.591956i | \(-0.201644\pi\) |
0.332464 | + | 0.943116i | \(0.392120\pi\) | |||||||
\(410\) | 15.6818 | − | 27.1617i | 0.774470 | − | 1.34142i | ||||
\(411\) | −32.3532 | + | 11.5549i | −1.59587 | + | 0.569963i | ||||
\(412\) | 16.8583 | + | 5.20010i | 0.830550 | + | 0.256191i | ||||
\(413\) | −3.81848 | − | 8.07536i | −0.187895 | − | 0.397362i | ||||
\(414\) | −16.4077 | + | 24.7435i | −0.806395 | + | 1.21608i | ||||
\(415\) | 7.65072 | + | 7.09883i | 0.375559 | + | 0.348468i | ||||
\(416\) | 26.4410 | − | 33.1560i | 1.29638 | − | 1.62561i | ||||
\(417\) | 0.964357 | − | 0.188898i | 0.0472248 | − | 0.00925036i | ||||
\(418\) | −1.11723 | + | 4.89489i | −0.0546453 | + | 0.239417i | ||||
\(419\) | −29.3539 | + | 9.05448i | −1.43403 | + | 0.442340i | −0.911861 | − | 0.410500i | \(-0.865354\pi\) |
−0.522172 | + | 0.852840i | \(0.674878\pi\) | |||||||
\(420\) | 11.4748 | + | 32.8637i | 0.559911 | + | 1.60358i | ||||
\(421\) | 9.88562 | + | 3.04931i | 0.481796 | + | 0.148614i | 0.526133 | − | 0.850402i | \(-0.323641\pi\) |
−0.0443372 | + | 0.999017i | \(0.514118\pi\) | |||||||
\(422\) | −22.9559 | + | 39.7608i | −1.11748 | + | 1.93553i | ||||
\(423\) | −1.23604 | − | 0.466855i | −0.0600983 | − | 0.0226993i | ||||
\(424\) | −0.322576 | + | 0.299307i | −0.0156657 | + | 0.0145356i | ||||
\(425\) | −3.92837 | − | 52.4204i | −0.190554 | − | 2.54276i | ||||
\(426\) | −8.76667 | + | 1.71721i | −0.424747 | + | 0.0831991i | ||||
\(427\) | −2.70098 | − | 4.02269i | −0.130710 | − | 0.194672i | ||||
\(428\) | −0.222177 | + | 0.566099i | −0.0107394 | + | 0.0273634i | ||||
\(429\) | 15.9731 | − | 30.6988i | 0.771188 | − | 1.48215i | ||||
\(430\) | −6.30206 | − | 7.90253i | −0.303912 | − | 0.381094i | ||||
\(431\) | 2.35598 | + | 31.4384i | 0.113484 | + | 1.51433i | 0.705674 | + | 0.708536i | \(0.250644\pi\) |
−0.592191 | + | 0.805798i | \(0.701737\pi\) | |||||||
\(432\) | 13.5549 | − | 16.3799i | 0.652161 | − | 0.788077i | ||||
\(433\) | 23.3280 | − | 11.2342i | 1.12107 | − | 0.539880i | 0.220849 | − | 0.975308i | \(-0.429117\pi\) |
0.900224 | + | 0.435428i | \(0.143403\pi\) | |||||||
\(434\) | 1.45633 | − | 0.827079i | 0.0699061 | − | 0.0397011i | ||||
\(435\) | 34.8629 | − | 47.8789i | 1.67155 | − | 2.29562i | ||||
\(436\) | −27.0689 | + | 13.0357i | −1.29636 | + | 0.624296i | ||||
\(437\) | 2.46052 | + | 2.28303i | 0.117703 | + | 0.109212i | ||||
\(438\) | 12.3470 | + | 44.9222i | 0.589964 | + | 2.14646i | ||||
\(439\) | −10.1818 | + | 25.9427i | −0.485949 | + | 1.23818i | 0.452192 | + | 0.891921i | \(0.350642\pi\) |
−0.938140 | + | 0.346256i | \(0.887453\pi\) | |||||||
\(440\) | 1.35975 | 0.0648235 | ||||||||
\(441\) | −6.21677 | + | 20.0587i | −0.296037 | + | 0.955177i | ||||
\(442\) | 55.0641 | 2.61913 | ||||||||
\(443\) | −1.77930 | + | 4.53358i | −0.0845370 | + | 0.215397i | −0.966891 | − | 0.255189i | \(-0.917862\pi\) |
0.882354 | + | 0.470586i | \(0.155957\pi\) | |||||||
\(444\) | −7.96840 | − | 2.08030i | −0.378164 | − | 0.0987266i | ||||
\(445\) | −22.2682 | − | 20.6619i | −1.05561 | − | 0.979466i | ||||
\(446\) | 7.89293 | − | 3.80103i | 0.373741 | − | 0.179984i | ||||
\(447\) | 15.3917 | + | 1.63406i | 0.728002 | + | 0.0772885i | ||||
\(448\) | −13.6075 | − | 14.8759i | −0.642893 | − | 0.702819i | ||||
\(449\) | −7.60221 | + | 3.66103i | −0.358771 | + | 0.172775i | −0.604582 | − | 0.796543i | \(-0.706660\pi\) |
0.245812 | + | 0.969318i | \(0.420946\pi\) | |||||||
\(450\) | −51.9183 | + | 30.8721i | −2.44745 | + | 1.45532i | ||||
\(451\) | 1.13503 | + | 15.1459i | 0.0534464 | + | 0.713193i | ||||
\(452\) | 16.0066 | + | 20.0717i | 0.752889 | + | 0.944093i | ||||
\(453\) | −11.4935 | − | 18.0333i | −0.540011 | − | 0.847278i | ||||
\(454\) | 10.9387 | − | 27.8713i | 0.513377 | − | 1.30806i | ||||
\(455\) | −54.7177 | − | 4.49150i | −2.56520 | − | 0.210565i | ||||
\(456\) | −0.0716576 | − | 0.0821926i | −0.00335567 | − | 0.00384902i | ||||
\(457\) | 1.81052 | + | 24.1597i | 0.0846924 | + | 1.13014i | 0.863997 | + | 0.503496i | \(0.167953\pi\) |
−0.779305 | + | 0.626645i | \(0.784428\pi\) | |||||||
\(458\) | −25.7415 | + | 23.8846i | −1.20282 | + | 1.11605i | ||||
\(459\) | 26.9682 | + | 0.488385i | 1.25877 | + | 0.0227959i | ||||
\(460\) | −18.9047 | + | 32.7439i | −0.881436 | + | 1.52669i | ||||
\(461\) | −7.94583 | − | 2.45096i | −0.370074 | − | 0.114153i | 0.104139 | − | 0.994563i | \(-0.466791\pi\) |
−0.474213 | + | 0.880410i | \(0.657267\pi\) | |||||||
\(462\) | −27.4387 | − | 20.2792i | −1.27657 | − | 0.943472i | ||||
\(463\) | 28.8646 | − | 8.90354i | 1.34145 | − | 0.413783i | 0.460781 | − | 0.887514i | \(-0.347569\pi\) |
0.880669 | + | 0.473731i | \(0.157093\pi\) | |||||||
\(464\) | −8.00494 | + | 35.0719i | −0.371620 | + | 1.62817i | ||||
\(465\) | 1.40944 | + | 1.61666i | 0.0653613 | + | 0.0749706i | ||||
\(466\) | 35.2334 | − | 44.1813i | 1.63216 | − | 2.04666i | ||||
\(467\) | 27.4832 | + | 25.5006i | 1.27177 | + | 1.18003i | 0.974289 | + | 0.225301i | \(0.0723364\pi\) |
0.297479 | + | 0.954728i | \(0.403854\pi\) | |||||||
\(468\) | −13.9245 | − | 27.9879i | −0.643661 | − | 1.29374i | ||||
\(469\) | −31.9037 | − | 25.8151i | −1.47318 | − | 1.19203i | ||||
\(470\) | −3.25442 | − | 1.00386i | −0.150115 | − | 0.0463044i | ||||
\(471\) | −0.917898 | + | 5.02800i | −0.0422945 | + | 0.231678i | ||||
\(472\) | −0.157601 | + | 0.272973i | −0.00725419 | + | 0.0125646i | ||||
\(473\) | 4.67737 | + | 1.44278i | 0.215065 | + | 0.0663389i | ||||
\(474\) | 5.87217 | − | 8.06454i | 0.269718 | − | 0.370417i | ||||
\(475\) | 2.49490 | + | 6.35691i | 0.114474 | + | 0.291675i | ||||
\(476\) | 4.18596 | − | 26.4940i | 0.191863 | − | 1.21435i | ||||
\(477\) | 4.34137 | + | 13.4574i | 0.198778 | + | 0.616172i | ||||
\(478\) | 17.0901 | + | 5.27161i | 0.781685 | + | 0.241118i | ||||
\(479\) | 0.688706 | + | 0.863610i | 0.0314678 | + | 0.0394593i | 0.797316 | − | 0.603562i | \(-0.206252\pi\) |
−0.765849 | + | 0.643021i | \(0.777681\pi\) | |||||||
\(480\) | 31.5186 | − | 43.2860i | 1.43862 | − | 1.97573i | ||||
\(481\) | 8.09856 | − | 10.1553i | 0.369263 | − | 0.463041i | ||||
\(482\) | 19.1747 | + | 13.0731i | 0.873383 | + | 0.595462i | ||||
\(483\) | −20.9128 | + | 9.10746i | −0.951564 | + | 0.414404i | ||||
\(484\) | 4.87864 | − | 3.32620i | 0.221756 | − | 0.151191i | ||||
\(485\) | −2.88294 | + | 38.4702i | −0.130908 | + | 1.74684i | ||||
\(486\) | −13.3008 | − | 27.9942i | −0.603338 | − | 1.26984i | ||||
\(487\) | −31.1455 | − | 21.2346i | −1.41134 | − | 0.962234i | −0.998681 | − | 0.0513468i | \(-0.983649\pi\) |
−0.412657 | − | 0.910887i | \(-0.635399\pi\) | |||||||
\(488\) | −0.0624644 | + | 0.159157i | −0.00282763 | + | 0.00720468i | ||||
\(489\) | 0.230918 | − | 1.26491i | 0.0104425 | − | 0.0572011i | ||||
\(490\) | −12.7934 | + | 52.5965i | −0.577945 | + | 2.37607i | ||||
\(491\) | 15.5779 | + | 26.9818i | 0.703023 | + | 1.21767i | 0.967400 | + | 0.253252i | \(0.0815002\pi\) |
−0.264378 | + | 0.964419i | \(0.585166\pi\) | |||||||
\(492\) | 11.6639 | + | 7.22470i | 0.525848 | + | 0.325715i | ||||
\(493\) | −41.1181 | + | 19.8014i | −1.85187 | + | 0.891812i | ||||
\(494\) | −6.83551 | + | 2.10848i | −0.307544 | + | 0.0948649i | ||||
\(495\) | 18.4502 | − | 39.6074i | 0.829275 | − | 1.78022i | ||||
\(496\) | −1.17371 | − | 0.565231i | −0.0527014 | − | 0.0253796i | ||||
\(497\) | −6.37090 | − | 2.55275i | −0.285774 | − | 0.114507i | ||||
\(498\) | −6.49223 | + | 6.57627i | −0.290924 | + | 0.294690i | ||||
\(499\) | −12.9551 | + | 16.2452i | −0.579952 | + | 0.727237i | −0.982105 | − | 0.188336i | \(-0.939691\pi\) |
0.402153 | + | 0.915573i | \(0.368262\pi\) | |||||||
\(500\) | −32.1770 | + | 21.9379i | −1.43900 | + | 0.981093i | ||||
\(501\) | −0.845290 | + | 27.2858i | −0.0377648 | + | 1.21904i | ||||
\(502\) | 8.04006 | − | 7.46009i | 0.358846 | − | 0.332960i | ||||
\(503\) | −9.88875 | − | 12.4001i | −0.440918 | − | 0.552893i | 0.510867 | − | 0.859660i | \(-0.329324\pi\) |
−0.951785 | + | 0.306766i | \(0.900753\pi\) | |||||||
\(504\) | 0.706827 | − | 0.222494i | 0.0314846 | − | 0.00991067i | ||||
\(505\) | −26.0459 | + | 32.6606i | −1.15903 | + | 1.45338i | ||||
\(506\) | −2.76949 | − | 36.9562i | −0.123119 | − | 1.64291i | ||||
\(507\) | 26.7620 | − | 1.17375i | 1.18854 | − | 0.0521279i | ||||
\(508\) | −7.15059 | + | 12.3852i | −0.317256 | + | 0.549504i | ||||
\(509\) | −26.5895 | −1.17856 | −0.589279 | − | 0.807930i | \(-0.700588\pi\) | ||||
−0.589279 | + | 0.807930i | \(0.700588\pi\) | |||||||
\(510\) | 69.4584 | − | 3.04636i | 3.07567 | − | 0.134895i | ||||
\(511\) | −10.7928 | + | 34.1270i | −0.477445 | + | 1.50969i | ||||
\(512\) | −7.06705 | + | 30.9628i | −0.312322 | + | 1.36837i | ||||
\(513\) | −3.36646 | + | 0.972019i | −0.148633 | + | 0.0429157i | ||||
\(514\) | −8.33844 | − | 1.25682i | −0.367793 | − | 0.0554358i | ||||
\(515\) | −21.9050 | + | 27.4680i | −0.965248 | + | 1.21038i | ||||
\(516\) | 3.54070 | − | 2.64849i | 0.155870 | − | 0.116593i | ||||
\(517\) | 1.57601 | − | 0.486134i | 0.0693127 | − | 0.0213801i | ||||
\(518\) | −8.64376 | − | 9.44946i | −0.379785 | − | 0.415186i | ||||
\(519\) | 4.11833 | − | 7.91505i | 0.180775 | − | 0.347432i | ||||
\(520\) | 0.968647 | + | 1.67775i | 0.0424780 | + | 0.0735740i | ||||
\(521\) | −12.9826 | − | 22.4865i | −0.568776 | − | 0.985149i | −0.996687 | − | 0.0813286i | \(-0.974084\pi\) |
0.427911 | − | 0.903821i | \(-0.359250\pi\) | |||||||
\(522\) | 41.4170 | + | 32.1663i | 1.81277 | + | 1.40788i | ||||
\(523\) | 7.75506 | − | 5.28731i | 0.339105 | − | 0.231198i | −0.381779 | − | 0.924254i | \(-0.624688\pi\) |
0.720884 | + | 0.693056i | \(0.243736\pi\) | |||||||
\(524\) | −0.788532 | − | 2.00915i | −0.0344472 | − | 0.0877700i | ||||
\(525\) | −46.3736 | − | 1.76633i | −2.02391 | − | 0.0770887i | ||||
\(526\) | 9.47983 | − | 24.1542i | 0.413340 | − | 1.05317i | ||||
\(527\) | −0.367756 | − | 1.61124i | −0.0160197 | − | 0.0701869i | ||||
\(528\) | −0.821771 | + | 26.5266i | −0.0357630 | + | 1.15442i | ||||
\(529\) | −1.59985 | − | 0.770448i | −0.0695587 | − | 0.0334977i | ||||
\(530\) | 13.3161 | + | 33.9289i | 0.578415 | + | 1.47378i | ||||
\(531\) | 5.81284 | + | 8.29462i | 0.252256 | + | 0.359956i | ||||
\(532\) | 0.494856 | + | 3.44918i | 0.0214547 | + | 0.149541i | ||||
\(533\) | −17.8794 | + | 12.1900i | −0.774445 | + | 0.528007i | ||||
\(534\) | 18.8963 | − | 19.1409i | 0.817722 | − | 0.828307i | ||||
\(535\) | −0.887767 | − | 0.823727i | −0.0383815 | − | 0.0356128i | ||||
\(536\) | −0.108221 | + | 1.44411i | −0.00467443 | + | 0.0623759i | ||||
\(537\) | 0.477899 | − | 15.4265i | 0.0206229 | − | 0.665702i | ||||
\(538\) | −1.34142 | + | 2.32341i | −0.0578327 | + | 0.100169i | ||||
\(539\) | −9.22930 | − | 24.5349i | −0.397534 | − | 1.05679i | ||||
\(540\) | −19.1129 | − | 34.5339i | −0.822488 | − | 1.48610i | ||||
\(541\) | 5.34501 | − | 0.805631i | 0.229800 | − | 0.0346368i | −0.0331326 | − | 0.999451i | \(-0.510548\pi\) |
0.262933 | + | 0.964814i | \(0.415310\pi\) | |||||||
\(542\) | −14.3602 | + | 6.91553i | −0.616825 | + | 0.297047i | ||||
\(543\) | −1.02129 | − | 8.56861i | −0.0438279 | − | 0.367714i | ||||
\(544\) | −37.1738 | + | 17.9020i | −1.59381 | + | 0.767540i | ||||
\(545\) | −4.47115 | − | 59.6633i | −0.191523 | − | 2.55569i | ||||
\(546\) | 5.47514 | − | 48.3020i | 0.234315 | − | 2.06714i | ||||
\(547\) | 0.704553 | − | 9.40160i | 0.0301245 | − | 0.401983i | −0.961676 | − | 0.274188i | \(-0.911591\pi\) |
0.991801 | − | 0.127795i | \(-0.0407901\pi\) | |||||||
\(548\) | −14.1526 | − | 36.0603i | −0.604570 | − | 1.54042i | ||||
\(549\) | 3.78843 | + | 3.97907i | 0.161686 | + | 0.169822i | ||||
\(550\) | 27.5464 | − | 70.1871i | 1.17458 | − | 2.99279i | ||||
\(551\) | 4.34607 | − | 4.03256i | 0.185149 | − | 0.171793i | ||||
\(552\) | 0.684253 | + | 0.423832i | 0.0291237 | + | 0.0180395i | ||||
\(553\) | 7.15426 | − | 2.74937i | 0.304230 | − | 0.116915i | ||||
\(554\) | −36.6155 | − | 5.51889i | −1.55564 | − | 0.234475i | ||||
\(555\) | 9.65376 | − | 13.2580i | 0.409779 | − | 0.562770i | ||||
\(556\) | 0.246567 | + | 1.08028i | 0.0104568 | + | 0.0458142i | ||||
\(557\) | 3.05083 | + | 5.28419i | 0.129268 | + | 0.223898i | 0.923393 | − | 0.383856i | \(-0.125404\pi\) |
−0.794125 | + | 0.607754i | \(0.792071\pi\) | |||||||
\(558\) | −1.46938 | + | 1.20303i | −0.0622039 | + | 0.0509284i | ||||
\(559\) | 1.55183 | + | 6.79903i | 0.0656356 | + | 0.287568i | ||||
\(560\) | 39.3022 | − | 15.1038i | 1.66082 | − | 0.638251i | ||||
\(561\) | −26.9606 | + | 20.1670i | −1.13828 | + | 0.851449i | ||||
\(562\) | 7.41629 | − | 32.4929i | 0.312837 | − | 1.37063i | ||||
\(563\) | 6.72253 | + | 17.1287i | 0.283321 | + | 0.721890i | 0.999707 | + | 0.0241864i | \(0.00769952\pi\) |
−0.716387 | + | 0.697704i | \(0.754205\pi\) | |||||||
\(564\) | 0.483012 | − | 1.40938i | 0.0203385 | − | 0.0593455i | ||||
\(565\) | −48.8537 | + | 15.0694i | −2.05529 | + | 0.633973i | ||||
\(566\) | −7.70921 | + | 33.7762i | −0.324042 | + | 1.41972i | ||||
\(567\) | 3.10991 | − | 23.6078i | 0.130604 | − | 0.991435i | ||||
\(568\) | 0.0538907 | + | 0.236111i | 0.00226120 | + | 0.00990698i | ||||
\(569\) | −16.8143 | − | 29.1232i | −0.704891 | − | 1.22091i | −0.966731 | − | 0.255796i | \(-0.917663\pi\) |
0.261840 | − | 0.965111i | \(-0.415671\pi\) | |||||||
\(570\) | −8.50573 | + | 3.03782i | −0.356266 | + | 0.127240i | ||||
\(571\) | 11.3847 | + | 3.51171i | 0.476434 | + | 0.146960i | 0.523666 | − | 0.851924i | \(-0.324564\pi\) |
−0.0472325 | + | 0.998884i | \(0.515040\pi\) | |||||||
\(572\) | 35.1568 | + | 16.9306i | 1.46998 | + | 0.707905i | ||||
\(573\) | 45.4773 | − | 8.90807i | 1.89984 | − | 0.372140i | ||||
\(574\) | 9.12035 | + | 19.2878i | 0.380676 | + | 0.805057i | ||||
\(575\) | −31.4281 | − | 39.4096i | −1.31064 | − | 1.64349i | ||||
\(576\) | 18.0546 | + | 14.0220i | 0.752275 | + | 0.584251i | ||||
\(577\) | −5.37968 | + | 13.7072i | −0.223959 | + | 0.570638i | −0.998049 | − | 0.0624374i | \(-0.980113\pi\) |
0.774090 | + | 0.633076i | \(0.218208\pi\) | |||||||
\(578\) | −17.8151 | − | 8.57932i | −0.741012 | − | 0.356853i | ||||
\(579\) | 12.8495 | + | 14.7387i | 0.534009 | + | 0.612518i | ||||
\(580\) | 55.1791 | + | 37.6205i | 2.29119 | + | 1.56211i | ||||
\(581\) | −6.93278 | + | 1.53065i | −0.287620 | + | 0.0635019i | ||||
\(582\) | −33.9671 | − | 3.60612i | −1.40798 | − | 0.149479i | ||||
\(583\) | −14.5837 | − | 9.94303i | −0.603997 | − | 0.411798i | ||||
\(584\) | 1.20690 | − | 0.372279i | 0.0499419 | − | 0.0154050i | ||||
\(585\) | 62.0137 | − | 5.45017i | 2.56395 | − | 0.225337i | ||||
\(586\) | 50.9352 | − | 7.67725i | 2.10412 | − | 0.317144i | ||||
\(587\) | −7.72663 | + | 13.3829i | −0.318912 | + | 0.552372i | −0.980261 | − | 0.197706i | \(-0.936651\pi\) |
0.661349 | + | 0.750078i | \(0.269984\pi\) | |||||||
\(588\) | −22.8242 | − | 6.30626i | −0.941255 | − | 0.260066i | ||||
\(589\) | 0.107349 | + | 0.185934i | 0.00442323 | + | 0.00766127i | ||||
\(590\) | 16.2780 | + | 20.4120i | 0.670154 | + | 0.840347i | ||||
\(591\) | −17.6024 | + | 17.8302i | −0.724065 | + | 0.733438i | ||||
\(592\) | −2.21662 | + | 9.71166i | −0.0911026 | + | 0.399147i | ||||
\(593\) | 0.242462 | − | 3.23543i | 0.00995673 | − | 0.132863i | −0.990010 | − | 0.140996i | \(-0.954970\pi\) |
0.999967 | + | 0.00813245i | \(0.00258867\pi\) | |||||||
\(594\) | 34.5468 | + | 17.4143i | 1.41747 | + | 0.714519i | ||||
\(595\) | 46.0680 | + | 27.0354i | 1.88861 | + | 1.10834i | ||||
\(596\) | −1.30427 | + | 17.4043i | −0.0534249 | + | 0.712906i | ||||
\(597\) | −11.2714 | + | 2.20783i | −0.461308 | + | 0.0903606i | ||||
\(598\) | 43.6261 | − | 29.7438i | 1.78400 | − | 1.21631i | ||||
\(599\) | 39.6970 | − | 5.98336i | 1.62197 | − | 0.244473i | 0.725712 | − | 0.687998i | \(-0.241510\pi\) |
0.896262 | + | 0.443525i | \(0.146272\pi\) | |||||||
\(600\) | 0.880128 | + | 1.38092i | 0.0359311 | + | 0.0563760i | ||||
\(601\) | 9.23421 | − | 1.39183i | 0.376671 | − | 0.0567741i | 0.0420218 | − | 0.999117i | \(-0.486620\pi\) |
0.334650 | + | 0.942343i | \(0.391382\pi\) | |||||||
\(602\) | 6.86011 | − | 0.465129i | 0.279597 | − | 0.0189572i | ||||
\(603\) | 40.5962 | + | 22.7472i | 1.65321 | + | 0.926337i | ||||
\(604\) | 19.9231 | − | 13.5834i | 0.810661 | − | 0.552699i | ||||
\(605\) | 2.61654 | + | 11.4638i | 0.106377 | + | 0.466070i | ||||
\(606\) | −28.1905 | − | 23.9461i | −1.14516 | − | 0.972744i | ||||
\(607\) | 6.80105 | 0.276046 | 0.138023 | − | 0.990429i | \(-0.455925\pi\) | ||||
0.138023 | + | 0.990429i | \(0.455925\pi\) | |||||||
\(608\) | 3.92917 | − | 3.64573i | 0.159349 | − | 0.147854i | ||||
\(609\) | 13.2813 | + | 38.0375i | 0.538185 | + | 1.54136i | ||||
\(610\) | 10.3813 | + | 9.63241i | 0.420325 | + | 0.390005i | ||||
\(611\) | 1.72253 | + | 1.59827i | 0.0696860 | + | 0.0646592i | ||||
\(612\) | 0.391158 | + | 30.4115i | 0.0158116 | + | 1.22931i | ||||
\(613\) | 37.7710 | + | 5.69306i | 1.52556 | + | 0.229941i | 0.857623 | − | 0.514279i | \(-0.171941\pi\) |
0.667934 | + | 0.744220i | \(0.267179\pi\) | |||||||
\(614\) | −53.7492 | + | 16.5794i | −2.16914 | + | 0.669092i | ||||
\(615\) | −21.8789 | + | 16.3657i | −0.882242 | + | 0.659930i | ||||
\(616\) | −0.526475 | + | 0.760536i | −0.0212123 | + | 0.0306429i | ||||
\(617\) | 2.64580 | − | 2.45494i | 0.106516 | − | 0.0988322i | −0.625117 | − | 0.780531i | \(-0.714949\pi\) |
0.731633 | + | 0.681699i | \(0.238758\pi\) | |||||||
\(618\) | −23.7086 | − | 20.1390i | −0.953700 | − | 0.810109i | ||||
\(619\) | 23.1245 | 0.929452 | 0.464726 | − | 0.885455i | \(-0.346153\pi\) | ||||
0.464726 | + | 0.885455i | \(0.346153\pi\) | |||||||
\(620\) | −1.77284 | + | 1.64496i | −0.0711990 | + | 0.0660630i | ||||
\(621\) | 21.6301 | − | 14.1804i | 0.867986 | − | 0.569038i | ||||
\(622\) | −29.1581 | + | 36.5632i | −1.16913 | + | 1.46605i | ||||
\(623\) | 20.1785 | − | 4.45510i | 0.808436 | − | 0.178490i | ||||
\(624\) | −33.3157 | + | 17.8829i | −1.33370 | + | 0.715888i | ||||
\(625\) | −5.99011 | − | 26.2444i | −0.239604 | − | 1.04977i | ||||
\(626\) | 19.3907 | − | 2.92268i | 0.775009 | − | 0.116814i | ||||
\(627\) | 2.57460 | − | 3.53583i | 0.102820 | − | 0.141207i | ||||
\(628\) | −5.69886 | − | 0.858964i | −0.227409 | − | 0.0342764i | ||||
\(629\) | −11.3859 | + | 5.48315i | −0.453985 | + | 0.218628i | ||||
\(630\) | 4.23414 | − | 61.2315i | 0.168692 | − | 2.43952i | ||||
\(631\) | 16.5678 | + | 7.97861i | 0.659552 | + | 0.317623i | 0.733551 | − | 0.679635i | \(-0.237862\pi\) |
−0.0739987 | + | 0.997258i | \(0.523576\pi\) | |||||||
\(632\) | −0.223456 | − | 0.152349i | −0.00888859 | − | 0.00606014i | ||||
\(633\) | 32.0275 | − | 23.9571i | 1.27298 | − | 0.952207i | ||||
\(634\) | 0.373662 | − | 4.98617i | 0.0148400 | − | 0.198026i | ||||
\(635\) | −17.7568 | − | 22.2663i | −0.704656 | − | 0.883611i | ||||
\(636\) | −15.0156 | + | 5.36281i | −0.595406 | + | 0.212649i | ||||
\(637\) | 23.6981 | − | 28.8657i | 0.938952 | − | 1.14370i | ||||
\(638\) | −65.4596 | −2.59157 | ||||||||
\(639\) | 7.60878 | + | 1.63399i | 0.300999 | + | 0.0646397i | ||||
\(640\) | −2.39944 | − | 1.63591i | −0.0948460 | − | 0.0646649i | ||||
\(641\) | 3.96978 | − | 17.3927i | 0.156797 | − | 0.686971i | −0.834017 | − | 0.551739i | \(-0.813965\pi\) |
0.990814 | − | 0.135233i | \(-0.0431782\pi\) | |||||||
\(642\) | 0.753338 | − | 0.763090i | 0.0297319 | − | 0.0301168i | ||||
\(643\) | −1.14688 | − | 15.3041i | −0.0452287 | − | 0.603535i | −0.973063 | − | 0.230541i | \(-0.925950\pi\) |
0.927834 | − | 0.372994i | \(-0.121669\pi\) | |||||||
\(644\) | −10.9947 | − | 23.2517i | −0.433253 | − | 0.916247i | ||||
\(645\) | 2.33365 | + | 8.49050i | 0.0918872 | + | 0.334313i | ||||
\(646\) | 6.88189 | + | 1.03728i | 0.270764 | + | 0.0408112i | ||||
\(647\) | 0.0157226 | + | 0.209803i | 0.000618119 | + | 0.00824822i | 0.997504 | − | 0.0706053i | \(-0.0224931\pi\) |
−0.996886 | + | 0.0788536i | \(0.974874\pi\) | |||||||
\(648\) | −0.747399 | + | 0.383915i | −0.0293606 | + | 0.0150816i | ||||
\(649\) | −12.0815 | − | 3.72664i | −0.474239 | − | 0.146283i | ||||
\(650\) | 106.225 | − | 16.0108i | 4.16648 | − | 0.627995i | ||||
\(651\) | −1.44994 | + | 0.162385i | −0.0568278 | + | 0.00636436i | ||||
\(652\) | 1.43368 | + | 0.216092i | 0.0561471 | + | 0.00846281i | ||||
\(653\) | −19.9694 | − | 9.61674i | −0.781462 | − | 0.376332i | 0.000227592 | − | 1.00000i | \(-0.499928\pi\) |
−0.781690 | + | 0.623668i | \(0.785642\pi\) | |||||||
\(654\) | 52.9246 | − | 2.32121i | 2.06952 | − | 0.0907664i | ||||
\(655\) | 4.29817 | 0.167943 | ||||||||
\(656\) | 8.29776 | − | 14.3721i | 0.323973 | − | 0.561138i | ||||
\(657\) | 5.53230 | − | 40.2066i | 0.215835 | − | 1.56861i | ||||
\(658\) | 1.82154 | − | 1.43159i | 0.0710111 | − | 0.0558091i | ||||
\(659\) | −20.2258 | − | 18.7668i | −0.787885 | − | 0.731051i | 0.179665 | − | 0.983728i | \(-0.442499\pi\) |
−0.967551 | + | 0.252677i | \(0.918689\pi\) | |||||||
\(660\) | 45.2837 | + | 19.4114i | 1.76267 | + | 0.755588i | ||||
\(661\) | −9.82603 | − | 25.0363i | −0.382188 | − | 0.973800i | −0.984476 | − | 0.175520i | \(-0.943839\pi\) |
0.602288 | − | 0.798279i | \(-0.294256\pi\) | |||||||
\(662\) | −21.8215 | − | 55.6004i | −0.848118 | − | 2.16097i | ||||
\(663\) | −44.0893 | − | 18.8994i | −1.71229 | − | 0.733993i | ||||
\(664\) | 0.183648 | + | 0.170401i | 0.00712693 | + | 0.00661283i | ||||
\(665\) | −6.75398 | − | 1.59210i | −0.261908 | − | 0.0617389i | ||||
\(666\) | 11.4687 | + | 8.90707i | 0.444401 | + | 0.345142i | ||||
\(667\) | −21.8809 | + | 37.8989i | −0.847233 | + | 1.46745i | ||||
\(668\) | −30.7820 | −1.19099 | ||||||||
\(669\) | −7.62440 | + | 0.334397i | −0.294776 | + | 0.0129285i | ||||
\(670\) | 108.070 | + | 52.0440i | 4.17513 | + | 2.01063i | ||||
\(671\) | −6.78145 | − | 1.02214i | −0.261795 | − | 0.0394592i | ||||
\(672\) | 12.0073 | + | 34.3887i | 0.463190 | + | 1.32657i | ||||
\(673\) | −21.5110 | + | 3.24226i | −0.829187 | + | 0.124980i | −0.549903 | − | 0.835229i | \(-0.685335\pi\) |
−0.279284 | + | 0.960209i | \(0.590097\pi\) | |||||||
\(674\) | −38.7767 | − | 11.9610i | −1.49362 | − | 0.460721i | ||||
\(675\) | 52.1666 | − | 6.89929i | 2.00789 | − | 0.265554i | ||||
\(676\) | 2.25726 | + | 30.1211i | 0.0868178 | + | 1.15850i | ||||
\(677\) | −2.76912 | − | 0.417377i | −0.106426 | − | 0.0160411i | 0.0956134 | − | 0.995419i | \(-0.469519\pi\) |
−0.202039 | + | 0.979377i | \(0.564757\pi\) | |||||||
\(678\) | −11.9970 | − | 43.6487i | −0.460742 | − | 1.67632i | ||||
\(679\) | −20.4010 | − | 16.5076i | −0.782917 | − | 0.633503i | ||||
\(680\) | −0.140854 | − | 1.87957i | −0.00540151 | − | 0.0720781i | ||||
\(681\) | −18.3246 | + | 18.5618i | −0.702201 | + | 0.711291i | ||||
\(682\) | 0.527485 | − | 2.31106i | 0.0201984 | − | 0.0884951i | ||||
\(683\) | 28.3881 | + | 19.3547i | 1.08624 | + | 0.740586i | 0.967635 | − | 0.252356i | \(-0.0812053\pi\) |
0.118605 | + | 0.992941i | \(0.462158\pi\) | |||||||
\(684\) | −1.21305 | − | 3.76023i | −0.0463823 | − | 0.143776i | ||||
\(685\) | 77.1438 | 2.94751 | ||||||||
\(686\) | −24.4649 | − | 27.5202i | −0.934075 | − | 1.05073i | ||||
\(687\) | 28.8087 | − | 10.2890i | 1.09912 | − | 0.392551i | ||||
\(688\) | −3.33462 | − | 4.18148i | −0.127131 | − | 0.159417i | ||||
\(689\) | 1.87930 | − | 25.0775i | 0.0715956 | − | 0.955377i | ||||
\(690\) | 53.3848 | − | 39.9326i | 2.03233 | − | 1.52021i | ||||
\(691\) | −6.64518 | − | 4.53061i | −0.252794 | − | 0.172352i | 0.430292 | − | 0.902690i | \(-0.358411\pi\) |
−0.683087 | + | 0.730337i | \(0.739363\pi\) | |||||||
\(692\) | 9.06445 | + | 4.36521i | 0.344579 | + | 0.165940i | ||||
\(693\) | 15.0096 | + | 25.6550i | 0.570168 | + | 0.974553i | ||||
\(694\) | −29.1224 | + | 14.0246i | −1.10547 | + | 0.532367i | ||||
\(695\) | −2.18197 | − | 0.328880i | −0.0827670 | − | 0.0124751i | ||||
\(696\) | 0.836849 | − | 1.14929i | 0.0317207 | − | 0.0435636i | ||||
\(697\) | 20.8185 | − | 3.13788i | 0.788556 | − | 0.118856i | ||||
\(698\) | −1.91841 | − | 8.40510i | −0.0726128 | − | 0.318138i | ||||
\(699\) | −43.3752 | + | 23.2825i | −1.64060 | + | 0.880626i | ||||
\(700\) | 0.371605 | − | 52.3270i | 0.0140453 | − | 1.97777i | ||||
\(701\) | 27.4930 | − | 34.4752i | 1.03840 | − | 1.30211i | 0.0863157 | − | 0.996268i | \(-0.472491\pi\) |
0.952082 | − | 0.305842i | \(-0.0989379\pi\) | |||||||
\(702\) | 3.12320 | + | 55.0315i | 0.117878 | + | 2.07703i | ||||
\(703\) | 1.20346 | − | 1.11664i | 0.0453892 | − | 0.0421150i | ||||
\(704\) | −28.5353 | −1.07547 | ||||||||
\(705\) | 2.26123 | + | 1.92078i | 0.0851630 | + | 0.0723407i | ||||
\(706\) | 7.29541 | − | 6.76915i | 0.274566 | − | 0.254760i | ||||
\(707\) | −8.18314 | − | 27.2137i | −0.307759 | − | 1.02348i | ||||
\(708\) | −9.14550 | + | 6.84097i | −0.343709 | + | 0.257099i | ||||
\(709\) | 9.86494 | − | 3.04293i | 0.370486 | − | 0.114280i | −0.103921 | − | 0.994586i | \(-0.533139\pi\) |
0.474407 | + | 0.880306i | \(0.342663\pi\) | |||||||
\(710\) | 19.8357 | + | 2.98974i | 0.744419 | + | 0.112203i | ||||
\(711\) | −7.46975 | + | 4.44172i | −0.280137 | + | 0.166578i | ||||
\(712\) | −0.534526 | − | 0.495968i | −0.0200322 | − | 0.0185872i | ||||
\(713\) | −1.16171 | − | 1.07790i | −0.0435062 | − | 0.0403679i | ||||
\(714\) | −25.1894 | + | 40.0290i | −0.942688 | + | 1.49805i | ||||
\(715\) | −56.9635 | + | 52.8544i | −2.13031 | + | 1.97664i | ||||
\(716\) | 17.4031 | 0.650385 | ||||||||
\(717\) | −11.8746 | − | 10.0867i | −0.443463 | − | 0.376695i | ||||
\(718\) | −7.71812 | − | 33.8153i | −0.288038 | − | 1.26198i | ||||
\(719\) | −34.9189 | + | 23.8073i | −1.30226 | + | 0.887863i | −0.997905 | − | 0.0646975i | \(-0.979392\pi\) |
−0.304350 | + | 0.952560i | \(0.598439\pi\) | |||||||
\(720\) | −41.0353 | + | 24.4008i | −1.52930 | + | 0.909363i | ||||
\(721\) | −6.88213 | − | 22.8871i | −0.256304 | − | 0.852360i | ||||
\(722\) | 36.4604 | − | 5.49551i | 1.35691 | − | 0.204522i | ||||
\(723\) | −10.8660 | − | 17.0487i | −0.404110 | − | 0.634049i | ||||
\(724\) | 9.62159 | − | 1.45022i | 0.357584 | − | 0.0538970i | ||||
\(725\) | −73.5638 | + | 50.1549i | −2.73209 | + | 1.86271i | ||||
\(726\) | −10.2172 | + | 2.00134i | −0.379196 | + | 0.0742767i | ||||
\(727\) | 0.0304432 | − | 0.406236i | 0.00112907 | − | 0.0150665i | −0.996611 | − | 0.0822612i | \(-0.973786\pi\) |
0.997740 | + | 0.0671947i | \(0.0214049\pi\) | |||||||
\(728\) | −1.31344 | − | 0.107814i | −0.0486795 | − | 0.00399585i | ||||
\(729\) | 1.04152 | + | 26.9799i | 0.0385748 | + | 0.999256i | ||||
\(730\) | 7.81780 | − | 104.321i | 0.289350 | − | 3.86110i | ||||
\(731\) | 1.50982 | − | 6.61494i | 0.0558426 | − | 0.244662i | ||||
\(732\) | −4.35233 | + | 4.40867i | −0.160867 | + | 0.162949i | ||||
\(733\) | 30.5573 | + | 38.3177i | 1.12866 | + | 1.41530i | 0.896739 | + | 0.442561i | \(0.145930\pi\) |
0.231922 | + | 0.972734i | \(0.425499\pi\) | |||||||
\(734\) | 13.1943 | + | 22.8533i | 0.487012 | + | 0.843530i | ||||
\(735\) | 28.2960 | − | 37.7225i | 1.04371 | − | 1.39142i | ||||
\(736\) | −19.7820 | + | 34.2634i | −0.729173 | + | 1.26296i | ||||
\(737\) | −57.4386 | + | 8.65748i | −2.11578 | + | 0.318902i | ||||
\(738\) | −13.8838 | − | 19.8115i | −0.511071 | − | 0.729272i | ||||
\(739\) | −11.6704 | + | 3.59983i | −0.429302 | + | 0.132422i | −0.501873 | − | 0.864941i | \(-0.667356\pi\) |
0.0725715 | + | 0.997363i | \(0.476879\pi\) | |||||||
\(740\) | 15.2795 | + | 10.4174i | 0.561685 | + | 0.382950i | ||||
\(741\) | 6.19681 | + | 0.657886i | 0.227646 | + | 0.0241680i | ||||
\(742\) | −24.1329 | − | 5.68879i | −0.885948 | − | 0.208842i | ||||
\(743\) | 13.5755 | + | 9.25564i | 0.498038 | + | 0.339557i | 0.786145 | − | 0.618042i | \(-0.212074\pi\) |
−0.288107 | + | 0.957598i | \(0.593026\pi\) | |||||||
\(744\) | 0.0338322 | + | 0.0388062i | 0.00124035 | + | 0.00142271i | ||||
\(745\) | −31.3144 | − | 15.0802i | −1.14727 | − | 0.552497i | ||||
\(746\) | 18.5113 | − | 47.1660i | 0.677747 | − | 1.72687i | ||||
\(747\) | 7.45541 | − | 3.03726i | 0.272779 | − | 0.111127i | ||||
\(748\) | −23.6705 | − | 29.6819i | −0.865479 | − | 1.08528i | ||||
\(749\) | 0.804458 | − | 0.177612i | 0.0293943 | − | 0.00648978i | ||||
\(750\) | 67.3874 | − | 13.1998i | 2.46064 | − | 0.481988i | ||||
\(751\) | 20.0058 | + | 9.63431i | 0.730024 | + | 0.351561i | 0.761693 | − | 0.647938i | \(-0.224368\pi\) |
−0.0316698 | + | 0.999498i | \(0.510083\pi\) | |||||||
\(752\) | −1.72202 | − | 0.531172i | −0.0627955 | − | 0.0193699i | ||||
\(753\) | −8.99809 | + | 3.21367i | −0.327909 | + | 0.117112i | ||||
\(754\) | −46.6317 | − | 80.7684i | −1.69822 | − | 2.94141i | ||||
\(755\) | 10.6853 | + | 46.8152i | 0.388877 | + | 1.70378i | ||||
\(756\) | 26.7158 | + | 2.68076i | 0.971642 | + | 0.0974983i | ||||
\(757\) | −4.44323 | + | 19.4670i | −0.161492 | + | 0.707542i | 0.827731 | + | 0.561125i | \(0.189631\pi\) |
−0.989223 | + | 0.146417i | \(0.953226\pi\) | |||||||
\(758\) | 9.23949 | − | 2.85000i | 0.335593 | − | 0.103517i | ||||
\(759\) | −10.4668 | + | 30.5411i | −0.379922 | + | 1.10857i | ||||
\(760\) | 0.0894563 | + | 0.227931i | 0.00324492 | + | 0.00826793i | ||||
\(761\) | 3.42950 | − | 15.0256i | 0.124319 | − | 0.544678i | −0.873958 | − | 0.486002i | \(-0.838455\pi\) |
0.998277 | − | 0.0586761i | \(-0.0186879\pi\) | |||||||
\(762\) | 20.1925 | − | 15.1043i | 0.731497 | − | 0.547171i | ||||
\(763\) | 35.1021 | + | 20.5999i | 1.27078 | + | 0.745768i | ||||
\(764\) | 11.6277 | + | 50.9442i | 0.420674 | + | 1.84309i | ||||
\(765\) | −56.6602 | − | 21.4007i | −2.04856 | − | 0.773744i | ||||
\(766\) | −22.1292 | − | 38.3290i | −0.799562 | − | 1.38488i | ||||
\(767\) | −4.00834 | − | 17.5617i | −0.144733 | − | 0.634115i | ||||
\(768\) | 17.0515 | − | 23.4177i | 0.615293 | − | 0.845012i | ||||
\(769\) | −47.6030 | − | 7.17500i | −1.71661 | − | 0.258737i | −0.784296 | − | 0.620387i | \(-0.786975\pi\) |
−0.932314 | + | 0.361650i | \(0.882214\pi\) | |||||||
\(770\) | 42.7082 | + | 63.6073i | 1.53910 | + | 2.29225i | ||||
\(771\) | 6.24514 | + | 3.86829i | 0.224913 | + | 0.139313i | ||||
\(772\) | −16.1626 | + | 14.9967i | −0.581704 | + | 0.539742i | ||||
\(773\) | 0.123267 | − | 0.314078i | 0.00443360 | − | 0.0112966i | −0.928640 | − | 0.370983i | \(-0.879021\pi\) |
0.933073 | + | 0.359686i | \(0.117116\pi\) | |||||||
\(774\) | −7.57808 | + | 1.83250i | −0.272388 | + | 0.0658678i | ||||
\(775\) | −1.17794 | − | 3.00134i | −0.0423128 | − | 0.107811i | ||||
\(776\) | −0.0692022 | + | 0.923440i | −0.00248422 | + | 0.0331496i | ||||
\(777\) | 3.67768 | + | 10.5329i | 0.131936 | + | 0.377864i | ||||
\(778\) | 0.969775 | + | 12.9407i | 0.0347681 | + | 0.463948i | ||||
\(779\) | −2.46420 | + | 1.18669i | −0.0882890 | + | 0.0425177i | ||||
\(780\) | 8.30781 | + | 69.7022i | 0.297467 | + | 2.49574i | ||||
\(781\) | −8.75224 | + | 4.21486i | −0.313180 | + | 0.150819i | ||||
\(782\) | −50.7974 | + | 7.65648i | −1.81651 | + | 0.273795i | ||||
\(783\) | −22.1219 | − | 39.9707i | −0.790573 | − | 1.42843i | ||||
\(784\) | −6.76938 | + | 27.8305i | −0.241764 | + | 0.993947i | ||||
\(785\) | 5.73850 | − | 9.93937i | 0.204816 | − | 0.354751i | ||||
\(786\) | −0.117841 | + | 3.80388i | −0.00420324 | + | 0.135680i | ||||
\(787\) | 0.912076 | − | 12.1708i | 0.0325120 | − | 0.433843i | −0.957068 | − | 0.289862i | \(-0.906391\pi\) |
0.989580 | − | 0.143981i | \(-0.0459903\pi\) | |||||||
\(788\) | −20.7102 | − | 19.2162i | −0.737769 | − | 0.684549i | ||||
\(789\) | −15.8807 | + | 16.0863i | −0.565369 | + | 0.572688i | ||||
\(790\) | −18.5086 | + | 12.6189i | −0.658506 | + | 0.448962i | ||||
\(791\) | 10.4868 | − | 33.1595i | 0.372868 | − | 1.17902i | ||||
\(792\) | 0.442879 | − | 0.950738i | 0.0157370 | − | 0.0337830i | ||||
\(793\) | −3.56974 | − | 9.09554i | −0.126765 | − | 0.322992i | ||||
\(794\) | 37.5479 | + | 18.0821i | 1.33252 | + | 0.641709i | ||||
\(795\) | 0.983182 | − | 31.7370i | 0.0348699 | − | 1.12559i | ||||
\(796\) | −2.88188 | − | 12.6263i | −0.102145 | − | 0.447529i | ||||
\(797\) | −15.7867 | + | 40.2239i | −0.559194 | + | 1.42480i | 0.319577 | + | 0.947560i | \(0.396459\pi\) |
−0.878771 | + | 0.477244i | \(0.841636\pi\) | |||||||
\(798\) | 1.59418 | − | 5.93363i | 0.0564333 | − | 0.210048i | ||||
\(799\) | −0.835235 | − | 2.12814i | −0.0295485 | − | 0.0752883i | ||||
\(800\) | −66.5070 | + | 45.3437i | −2.35138 | + | 1.60314i | ||||
\(801\) | −21.6997 | + | 8.84024i | −0.766721 | + | 0.312354i | ||||
\(802\) | −11.6125 | − | 20.1135i | −0.410052 | − | 0.710232i | ||||
\(803\) | 25.3305 | + | 43.8737i | 0.893894 | + | 1.54827i | ||||
\(804\) | −24.2198 | + | 46.5482i | −0.854166 | + | 1.64163i | ||||
\(805\) | 51.1023 | − | 3.46484i | 1.80112 | − | 0.122120i | ||||
\(806\) | 3.22731 | − | 0.995492i | 0.113677 | − | 0.0350647i | ||||
\(807\) | 1.87151 | − | 1.39992i | 0.0658804 | − | 0.0492795i | ||||
\(808\) | −0.625208 | + | 0.783985i | −0.0219947 | + | 0.0275805i | ||||
\(809\) | 6.23579 | + | 0.939895i | 0.219239 | + | 0.0330449i | 0.257743 | − | 0.966214i | \(-0.417021\pi\) |
−0.0385042 | + | 0.999258i | \(0.512259\pi\) | |||||||
\(810\) | 6.98419 | + | 69.2445i | 0.245399 | + | 2.43300i | ||||
\(811\) | 5.46003 | − | 23.9219i | 0.191728 | − | 0.840013i | −0.783954 | − | 0.620819i | \(-0.786800\pi\) |
0.975681 | − | 0.219194i | \(-0.0703428\pi\) | |||||||
\(812\) | −42.4065 | + | 16.2967i | −1.48818 | + | 0.571904i | ||||
\(813\) | 13.8717 | − | 0.608395i | 0.486502 | − | 0.0213373i | ||||
\(814\) | −18.1262 | −0.635323 | ||||||||
\(815\) | −1.44365 | + | 2.50047i | −0.0505688 | + | 0.0875878i | ||||
\(816\) | 36.7527 | − | 1.61192i | 1.28660 | − | 0.0564287i | ||||
\(817\) | 0.0658699 | + | 0.878973i | 0.00230450 | + | 0.0307514i | ||||
\(818\) | 29.8676 | − | 37.4528i | 1.04430 | − | 1.30951i | ||||
\(819\) | −20.9624 | + | 36.7958i | −0.732485 | + | 1.28575i | ||||
\(820\) | −19.2089 | − | 24.0872i | −0.670803 | − | 0.841161i | ||||
\(821\) | 13.0550 | − | 12.1133i | 0.455623 | − | 0.422756i | −0.418682 | − | 0.908133i | \(-0.637508\pi\) |
0.874305 | + | 0.485377i | \(0.161317\pi\) | |||||||
\(822\) | −2.11501 | + | 68.2723i | −0.0737695 | + | 2.38127i | ||||
\(823\) | 9.45071 | − | 6.44339i | 0.329431 | − | 0.224602i | −0.387297 | − | 0.921955i | \(-0.626591\pi\) |
0.716728 | + | 0.697353i | \(0.245639\pi\) | |||||||
\(824\) | −0.525807 | + | 0.659342i | −0.0183174 | + | 0.0229693i | ||||
\(825\) | −46.1462 | + | 46.7435i | −1.60660 | + | 1.62740i | ||||
\(826\) | −17.7194 | + | 1.20141i | −0.616538 | + | 0.0418025i | ||||
\(827\) | 18.1561 | + | 8.74352i | 0.631350 | + | 0.304042i | 0.722055 | − | 0.691836i | \(-0.243198\pi\) |
−0.0907052 | + | 0.995878i | \(0.528912\pi\) | |||||||
\(828\) | 16.7372 | + | 23.8831i | 0.581657 | + | 0.829995i | ||||
\(829\) | 40.0432 | − | 12.3517i | 1.39076 | − | 0.428992i | 0.493211 | − | 0.869909i | \(-0.335823\pi\) |
0.897548 | + | 0.440917i | \(0.145347\pi\) | |||||||
\(830\) | 18.6958 | − | 9.00341i | 0.648940 | − | 0.312513i | ||||
\(831\) | 27.4234 | + | 16.9863i | 0.951308 | + | 0.589248i | ||||
\(832\) | −20.3278 | − | 35.2087i | −0.704739 | − | 1.22064i | ||||
\(833\) | −32.9583 | + | 15.2991i | −1.14194 | + | 0.530083i | ||||
\(834\) | 0.350881 | − | 1.92203i | 0.0121500 | − | 0.0665545i | ||||
\(835\) | 22.3953 | − | 57.0624i | 0.775023 | − | 1.97473i | ||||
\(836\) | 4.07495 | + | 2.77825i | 0.140935 | + | 0.0960879i | ||||
\(837\) | 1.58943 | − | 0.458927i | 0.0549388 | − | 0.0158628i | ||||
\(838\) | −4.56419 | + | 60.9049i | −0.157667 | + | 2.10392i | ||||
\(839\) | 41.2982 | − | 28.1566i | 1.42577 | − | 0.972074i | 0.428109 | − | 0.903727i | \(-0.359180\pi\) |
0.997662 | − | 0.0683470i | \(-0.0217725\pi\) | |||||||
\(840\) | −1.66275 | − | 0.0633328i | −0.0573705 | − | 0.00218519i | ||||
\(841\) | 39.9053 | + | 27.2069i | 1.37604 | + | 0.938171i | ||||
\(842\) | 12.8244 | − | 16.0812i | 0.441956 | − | 0.554196i | ||||
\(843\) | −17.0905 | + | 23.4713i | −0.588630 | + | 0.808394i | ||||
\(844\) | 28.1190 | + | 35.2601i | 0.967897 | + | 1.21370i | ||||
\(845\) | −57.4795 | − | 17.7301i | −1.97735 | − | 0.609933i | ||||
\(846\) | −1.76188 | + | 1.94853i | −0.0605748 | + | 0.0669919i | ||||
\(847\) | −7.42503 | − | 2.97513i | −0.255127 | − | 0.102227i | ||||
\(848\) | 7.04598 | + | 17.9529i | 0.241960 | + | 0.616504i | ||||
\(849\) | 17.7656 | − | 24.3983i | 0.609712 | − | 0.837348i | ||||
\(850\) | −99.8725 | − | 30.8066i | −3.42560 | − | 1.05666i | ||||
\(851\) | −6.05897 | + | 10.4945i | −0.207699 | + | 0.359745i | ||||
\(852\) | −1.57593 | + | 8.63252i | −0.0539905 | + | 0.295745i | ||||
\(853\) | −3.10303 | − | 0.957159i | −0.106246 | − | 0.0327725i | 0.241176 | − | 0.970481i | \(-0.422467\pi\) |
−0.347422 | + | 0.937709i | \(0.612943\pi\) | |||||||
\(854\) | −9.40708 | + | 2.07693i | −0.321904 | + | 0.0710712i | ||||
\(855\) | 7.85311 | + | 0.487032i | 0.268571 | + | 0.0166561i | ||||
\(856\) | −0.0213100 | − | 0.0197728i | −0.000728360 | − | 0.000675819i | ||||
\(857\) | −11.6925 | + | 14.6620i | −0.399410 | + | 0.500844i | −0.940346 | − | 0.340220i | \(-0.889499\pi\) |
0.540936 | + | 0.841064i | \(0.318070\pi\) | |||||||
\(858\) | −45.2144 | − | 51.8618i | −1.54360 | − | 1.77053i | ||||
\(859\) | −5.76370 | + | 25.2524i | −0.196655 | + | 0.861602i | 0.776255 | + | 0.630419i | \(0.217117\pi\) |
−0.972910 | + | 0.231183i | \(0.925740\pi\) | |||||||
\(860\) | −9.48774 | + | 2.92658i | −0.323529 | + | 0.0997956i | ||||
\(861\) | −0.682510 | − | 18.5739i | −0.0232599 | − | 0.632996i | ||||
\(862\) | 59.8971 | + | 18.4758i | 2.04010 | + | 0.629289i | ||||
\(863\) | 20.7402 | − | 35.9231i | 0.706005 | − | 1.22284i | −0.260322 | − | 0.965522i | \(-0.583829\pi\) |
0.966328 | − | 0.257315i | \(-0.0828378\pi\) | |||||||
\(864\) | −19.9998 | − | 36.1364i | −0.680408 | − | 1.22939i | ||||
\(865\) | −14.6869 | + | 13.6274i | −0.499368 | + | 0.463346i | ||||
\(866\) | −3.84706 | − | 51.3355i | −0.130729 | − | 1.74445i | ||||
\(867\) | 11.3198 | + | 12.9840i | 0.384440 | + | 0.440960i | ||||
\(868\) | −0.233640 | − | 1.62849i | −0.00793027 | − | 0.0552745i | ||||
\(869\) | 3.96324 | − | 10.0982i | 0.134444 | − | 0.342557i | ||||
\(870\) | −63.2900 | − | 99.3021i | −2.14573 | − | 3.36666i | ||||
\(871\) | −51.5998 | − | 64.7041i | −1.74839 | − | 2.19242i | ||||
\(872\) | −0.107325 | − | 1.43216i | −0.00363450 | − | 0.0484990i | ||||
\(873\) | 25.9594 | + | 14.5458i | 0.878593 | + | 0.492300i | ||||
\(874\) | 6.01268 | − | 2.89555i | 0.203382 | − | 0.0979435i | ||||
\(875\) | 48.9716 | + | 19.6224i | 1.65554 | + | 0.663359i | ||||
\(876\) | 45.5080 | + | 4.83136i | 1.53757 | + | 0.163237i | ||||
\(877\) | 39.7692 | − | 19.1518i | 1.34291 | − | 0.646711i | 0.382152 | − | 0.924100i | \(-0.375183\pi\) |
0.960758 | + | 0.277388i | \(0.0894688\pi\) | |||||||
\(878\) | 40.6186 | + | 37.6885i | 1.37081 | + | 1.27193i | ||||
\(879\) | −43.4184 | − | 11.3352i | −1.46447 | − | 0.382326i | ||||
\(880\) | 21.7722 | − | 55.4747i | 0.733942 | − | 1.87005i | ||||
\(881\) | 19.3616 | 0.652310 | 0.326155 | − | 0.945316i | \(-0.394247\pi\) | ||||
0.326155 | + | 0.945316i | \(0.394247\pi\) | |||||||
\(882\) | 32.6087 | + | 26.0762i | 1.09799 | + | 0.878031i | ||||
\(883\) | −1.38799 | −0.0467095 | −0.0233547 | − | 0.999727i | \(-0.507435\pi\) | ||||
−0.0233547 | + | 0.999727i | \(0.507435\pi\) | |||||||
\(884\) | 19.7612 | − | 50.3507i | 0.664641 | − | 1.69348i | ||||
\(885\) | −6.02773 | − | 21.9307i | −0.202620 | − | 0.737192i | ||||
\(886\) | 7.09824 | + | 6.58620i | 0.238470 | + | 0.221268i | ||||
\(887\) | −35.3256 | + | 17.0119i | −1.18612 | + | 0.571204i | −0.919688 | − | 0.392650i | \(-0.871558\pi\) |
−0.266430 | + | 0.963854i | \(0.585844\pi\) | |||||||
\(888\) | 0.231729 | − | 0.318245i | 0.00777632 | − | 0.0106796i | ||||
\(889\) | 19.3292 | − | 1.31056i | 0.648279 | − | 0.0439546i | ||||
\(890\) | −54.4159 | + | 26.2053i | −1.82403 | + | 0.878404i | ||||
\(891\) | −21.6842 | − | 25.8008i | −0.726448 | − | 0.864360i | ||||
\(892\) | −0.643087 | − | 8.58141i | −0.0215322 | − | 0.287327i | ||||
\(893\) | 0.185173 | + | 0.232200i | 0.00619658 | + | 0.00777027i | ||||
\(894\) | 14.2045 | − | 27.2998i | 0.475071 | − | 0.913042i | ||||
\(895\) | −12.6616 | + | 32.2612i | −0.423230 | + | 1.07837i | ||||
\(896\) | 1.84402 | − | 0.708656i | 0.0616045 | − | 0.0236745i | ||||
\(897\) | −45.1398 | + | 8.84196i | −1.50718 | + | 0.295225i | ||||
\(898\) | 1.25369 | + | 16.7294i | 0.0418363 | + | 0.558267i | ||||
\(899\) | −2.05194 | + | 1.90393i | −0.0684362 | + | 0.0634995i | ||||
\(900\) | 9.59724 | + | 58.5534i | 0.319908 | + | 1.95178i | ||||
\(901\) | −12.2335 | + | 21.1890i | −0.407555 | + | 0.705907i | ||||
\(902\) | 28.8563 | + | 8.90099i | 0.960810 | + | 0.296371i | ||||
\(903\) | −5.65247 | − | 1.98214i | −0.188102 | − | 0.0659615i | ||||
\(904\) | −1.17269 | + | 0.361725i | −0.0390029 | + | 0.0120308i | ||||
\(905\) | −4.31180 | + | 18.8912i | −0.143329 | + | 0.627965i | ||||
\(906\) | −41.7244 | + | 8.17296i | −1.38620 | + | 0.271528i | ||||
\(907\) | −4.70294 | + | 5.89730i | −0.156159 | + | 0.195817i | −0.853756 | − | 0.520673i | \(-0.825681\pi\) |
0.697597 | + | 0.716490i | \(0.254252\pi\) | |||||||
\(908\) | −21.5599 | − | 20.0047i | −0.715490 | − | 0.663878i | ||||
\(909\) | 14.3530 | + | 28.8491i | 0.476058 | + | 0.956865i | ||||
\(910\) | −48.0587 | + | 98.0083i | −1.59313 | + | 3.24894i | ||||
\(911\) | 7.00476 | + | 2.16068i | 0.232078 | + | 0.0715866i | 0.408613 | − | 0.912708i | \(-0.366013\pi\) |
−0.176535 | + | 0.984294i | \(0.556489\pi\) | |||||||
\(912\) | −4.50065 | + | 1.60741i | −0.149032 | + | 0.0532265i | ||||
\(913\) | −5.02445 | + | 8.70260i | −0.166285 | + | 0.288014i | ||||
\(914\) | 46.0295 | + | 14.1982i | 1.52252 | + | 0.469636i | ||||
\(915\) | −5.00609 | − | 11.2757i | −0.165496 | − | 0.372763i | ||||
\(916\) | 12.6021 | + | 32.1096i | 0.416385 | + | 1.06093i | ||||
\(917\) | −1.66419 | + | 2.40406i | −0.0549563 | + | 0.0793889i | ||||
\(918\) | 20.4931 | − | 49.5576i | 0.676371 | − | 1.63564i | ||||
\(919\) | −32.3275 | − | 9.97170i | −1.06638 | − | 0.328936i | −0.288589 | − | 0.957453i | \(-0.593186\pi\) |
−0.777796 | + | 0.628517i | \(0.783662\pi\) | |||||||
\(920\) | −1.12687 | − | 1.41306i | −0.0371520 | − | 0.0465871i | ||||
\(921\) | 48.7270 | + | 5.17311i | 1.60561 | + | 0.170460i | ||||
\(922\) | −10.3079 | + | 12.9257i | −0.339473 | + | 0.425686i | ||||
\(923\) | −11.4354 | − | 7.79654i | −0.376401 | − | 0.256626i | ||||
\(924\) | −28.3904 | + | 17.8123i | −0.933976 | + | 0.585982i | ||||
\(925\) | −20.3703 | + | 13.8882i | −0.669771 | + | 0.456642i | ||||
\(926\) | 4.48810 | − | 59.8895i | 0.147488 | − | 1.96809i | ||||
\(927\) | 12.0710 | + | 24.2625i | 0.396465 | + | 0.796885i | ||||
\(928\) | 57.7397 | + | 39.3663i | 1.89540 | + | 1.29226i | ||||
\(929\) | 12.5182 | − | 31.8959i | 0.410709 | − | 1.04647i | −0.564549 | − | 0.825400i | \(-0.690950\pi\) |
0.975258 | − | 0.221070i | \(-0.0709551\pi\) | |||||||
\(930\) | 4.01588 | − | 1.43427i | 0.131686 | − | 0.0470315i | ||||
\(931\) | 3.50554 | − | 3.16121i | 0.114889 | − | 0.103604i | ||||
\(932\) | −27.7550 | − | 48.0731i | −0.909146 | − | 1.57469i | ||||
\(933\) | 35.8961 | − | 19.2679i | 1.17518 | − | 0.630804i | ||||
\(934\) | 67.1595 | − | 32.3423i | 2.19753 | − | 1.05827i | ||||
\(935\) | 72.2444 | − | 22.2845i | 2.36265 | − | 0.728780i | ||||
\(936\) | 1.48858 | − | 0.130826i | 0.0486557 | − | 0.00427618i | ||||
\(937\) | −46.4123 | − | 22.3510i | −1.51622 | − | 0.730175i | −0.523663 | − | 0.851925i | \(-0.675435\pi\) |
−0.992561 | + | 0.121751i | \(0.961149\pi\) | |||||||
\(938\) | −70.9526 | + | 40.2954i | −2.31668 | + | 1.31569i | ||||
\(939\) | −16.5291 | − | 4.31523i | −0.539407 | − | 0.140822i | ||||
\(940\) | −2.08586 | + | 2.61559i | −0.0680333 | + | 0.0853110i | ||||
\(941\) | 7.61619 | − | 5.19263i | 0.248281 | − | 0.169275i | −0.432785 | − | 0.901497i | \(-0.642469\pi\) |
0.681066 | + | 0.732222i | \(0.261517\pi\) | |||||||
\(942\) | 8.63902 | + | 5.35108i | 0.281474 | + | 0.174347i | ||||
\(943\) | 14.7990 | − | 13.7315i | 0.481923 | − | 0.447159i | ||||
\(944\) | 8.61321 | + | 10.8006i | 0.280336 | + | 0.351530i | ||||
\(945\) | −24.4065 | + | 47.5742i | −0.793942 | + | 1.54759i | ||||
\(946\) | 6.06782 | − | 7.60881i | 0.197282 | − | 0.247384i | ||||
\(947\) | 2.93655 | + | 39.1855i | 0.0954249 | + | 1.27336i | 0.815212 | + | 0.579162i | \(0.196620\pi\) |
−0.719787 | + | 0.694195i | \(0.755761\pi\) | |||||||
\(948\) | −5.26685 | − | 8.26369i | −0.171059 | − | 0.268392i | ||||
\(949\) | −36.0895 | + | 62.5089i | −1.17151 | + | 2.02912i | ||||
\(950\) | 13.5775 | 0.440513 | ||||||||
\(951\) | −2.01057 | + | 3.86413i | −0.0651972 | + | 0.125303i | ||||
\(952\) | 1.10582 | + | 0.648958i | 0.0358398 | + | 0.0210329i | ||||
\(953\) | −1.39270 | + | 6.10183i | −0.0451141 | + | 0.197658i | −0.992463 | − | 0.122546i | \(-0.960894\pi\) |
0.947349 | + | 0.320204i | \(0.103751\pi\) | |||||||
\(954\) | 28.0603 | + | 1.74023i | 0.908485 | + | 0.0563421i | ||||
\(955\) | −102.898 | − | 15.5094i | −3.32970 | − | 0.501871i | ||||
\(956\) | 10.9536 | − | 13.7354i | 0.354265 | − | 0.444234i | ||||
\(957\) | 52.4129 | + | 22.4674i | 1.69427 | + | 0.726269i | ||||
\(958\) | 2.09862 | − | 0.647339i | 0.0678034 | − | 0.0209146i | ||||
\(959\) | −29.8689 | + | 43.1481i | −0.964518 | + | 1.39333i | ||||
\(960\) | −27.5895 | − | 43.2880i | −0.890447 | − | 1.39711i | ||||
\(961\) | 15.4493 | + | 26.7590i | 0.498365 | + | 0.863194i | ||||
\(962\) | −12.9126 | − | 22.3653i | −0.416319 | − | 0.721086i | ||||
\(963\) | −0.865103 | + | 0.352434i | −0.0278776 | + | 0.0113570i | ||||
\(964\) | 18.8354 | − | 12.8417i | 0.606647 | − | 0.413605i | ||||
\(965\) | −16.0412 | − | 40.8723i | −0.516385 | − | 1.31573i | ||||
\(966\) | 1.66534 | + | 45.3206i | 0.0535813 | + | 1.45817i | ||||
\(967\) | 12.4854 | − | 31.8123i | 0.401504 | − | 1.02301i | −0.576992 | − | 0.816750i | \(-0.695774\pi\) |
0.978496 | − | 0.206265i | \(-0.0661310\pi\) | |||||||
\(968\) | 0.0628074 | + | 0.275177i | 0.00201871 | + | 0.00884453i | ||||
\(969\) | −5.15424 | − | 3.19258i | −0.165578 | − | 0.102560i | ||||
\(970\) | 69.1061 | + | 33.2797i | 2.21886 | + | 1.06855i | ||||
\(971\) | 4.26285 | + | 10.8616i | 0.136801 | + | 0.348564i | 0.982814 | − | 0.184599i | \(-0.0590985\pi\) |
−0.846013 | + | 0.533163i | \(0.821003\pi\) | |||||||
\(972\) | −30.3713 | + | 2.11585i | −0.974161 | + | 0.0678658i | ||||
\(973\) | 1.02878 | − | 1.09309i | 0.0329811 | − | 0.0350427i | ||||
\(974\) | −61.9243 | + | 42.2193i | −1.98418 | + | 1.35279i | ||||
\(975\) | −90.5485 | − | 23.6394i | −2.89987 | − | 0.757065i | ||||
\(976\) | 5.49306 | + | 5.09682i | 0.175829 | + | 0.163145i | ||||
\(977\) | 4.04444 | − | 53.9694i | 0.129393 | − | 1.72663i | −0.434403 | − | 0.900719i | \(-0.643041\pi\) |
0.563796 | − | 0.825914i | \(-0.309340\pi\) | |||||||
\(978\) | −2.17334 | − | 1.34618i | −0.0694958 | − | 0.0430462i | ||||
\(979\) | 14.6242 | − | 25.3298i | 0.467390 | − | 0.809543i | ||||
\(980\) | 43.5031 | + | 30.5739i | 1.38966 | + | 0.976648i | ||||
\(981\) | −43.1729 | − | 16.3065i | −1.37841 | − | 0.520627i | ||||
\(982\) | 61.2531 | − | 9.23242i | 1.95466 | − | 0.294618i | ||||
\(983\) | 38.4464 | − | 18.5148i | 1.22625 | − | 0.590531i | 0.295205 | − | 0.955434i | \(-0.404612\pi\) |
0.931046 | + | 0.364903i | \(0.118898\pi\) | |||||||
\(984\) | −0.525181 | + | 0.392843i | −0.0167422 | + | 0.0125234i | ||||
\(985\) | 50.6899 | − | 24.4110i | 1.61511 | − | 0.777798i | ||||
\(986\) | 6.78086 | + | 90.4843i | 0.215947 | + | 2.88161i | ||||
\(987\) | −1.94985 | + | 0.521059i | −0.0620643 | + | 0.0165855i | ||||
\(988\) | −0.525109 | + | 7.00709i | −0.0167059 | + | 0.222925i | ||||
\(989\) | −2.37697 | − | 6.05642i | −0.0755833 | − | 0.192583i | ||||
\(990\) | −59.9031 | − | 62.9175i | −1.90384 | − | 1.99965i | ||||
\(991\) | −1.17507 | + | 2.99403i | −0.0373273 | + | 0.0951084i | −0.948322 | − | 0.317310i | \(-0.897221\pi\) |
0.910995 | + | 0.412418i | \(0.135316\pi\) | |||||||
\(992\) | −1.85511 | + | 1.72129i | −0.0588997 | + | 0.0546510i | ||||
\(993\) | −1.61117 | + | 52.0084i | −0.0511290 | + | 1.65044i | ||||
\(994\) | −9.35230 | + | 9.93691i | −0.296637 | + | 0.315180i | ||||
\(995\) | 25.5029 | + | 3.84394i | 0.808496 | + | 0.121861i | ||||
\(996\) | 3.68344 | + | 8.29657i | 0.116714 | + | 0.262887i | ||||
\(997\) | −1.77489 | − | 7.77631i | −0.0562114 | − | 0.246278i | 0.939014 | − | 0.343878i | \(-0.111741\pi\) |
−0.995226 | + | 0.0975998i | \(0.968883\pi\) | |||||||
\(998\) | 20.6561 | + | 35.7774i | 0.653858 | + | 1.13252i | ||||
\(999\) | −6.12571 | − | 11.0681i | −0.193809 | − | 0.350181i |
(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 | 441.2.z.a.142.45 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.45 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.45 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.45 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.45 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.45 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.45 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.45 | yes | 648 | 441.382 | even | 21 | inner |