Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(25,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([28, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.bb (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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 151.9 | ||
Character | \(\chi\) | \(=\) | 882.151 |
Dual form | 882.2.bb.b.625.9 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.900969 | − | 0.433884i | 0.637081 | − | 0.306802i | ||||
\(3\) | −1.04479 | − | 1.38145i | −0.603211 | − | 0.797582i | ||||
\(4\) | 0.623490 | − | 0.781831i | 0.311745 | − | 0.390916i | ||||
\(5\) | 0.438595 | + | 0.406957i | 0.196146 | + | 0.181997i | 0.772131 | − | 0.635463i | \(-0.219191\pi\) |
−0.575985 | + | 0.817460i | \(0.695381\pi\) | |||||||
\(6\) | −1.54071 | − | 0.791327i | −0.628994 | − | 0.323058i | ||||
\(7\) | −1.22363 | + | 2.34579i | −0.462488 | + | 0.886626i | ||||
\(8\) | 0.222521 | − | 0.974928i | 0.0786730 | − | 0.344689i | ||||
\(9\) | −0.816818 | + | 2.88666i | −0.272273 | + | 0.962220i | ||||
\(10\) | 0.571733 | + | 0.176356i | 0.180798 | + | 0.0557687i | ||||
\(11\) | 4.19435 | + | 2.85966i | 1.26465 | + | 0.862221i | 0.994915 | − | 0.100715i | \(-0.0321131\pi\) |
0.269730 | + | 0.962936i | \(0.413066\pi\) | |||||||
\(12\) | −1.73148 | − | 0.0444697i | −0.499835 | − | 0.0128373i | ||||
\(13\) | 2.55708 | + | 1.74339i | 0.709206 | + | 0.483529i | 0.863405 | − | 0.504511i | \(-0.168327\pi\) |
−0.154199 | + | 0.988040i | \(0.549280\pi\) | |||||||
\(14\) | −0.0846505 | + | 2.64440i | −0.0226238 | + | 0.706745i | ||||
\(15\) | 0.103951 | − | 1.03108i | 0.0268399 | − | 0.266225i | ||||
\(16\) | −0.222521 | − | 0.974928i | −0.0556302 | − | 0.243732i | ||||
\(17\) | −0.957794 | + | 0.144364i | −0.232299 | + | 0.0350135i | −0.264160 | − | 0.964479i | \(-0.585095\pi\) |
0.0318610 | + | 0.999492i | \(0.489857\pi\) | |||||||
\(18\) | 0.516547 | + | 2.95520i | 0.121751 | + | 0.696546i | ||||
\(19\) | 1.89839 | + | 3.28811i | 0.435520 | + | 0.754344i | 0.997338 | − | 0.0729176i | \(-0.0232310\pi\) |
−0.561817 | + | 0.827261i | \(0.689898\pi\) | |||||||
\(20\) | 0.591632 | − | 0.0891741i | 0.132293 | − | 0.0199399i | ||||
\(21\) | 4.51903 | − | 0.760480i | 0.986134 | − | 0.165950i | ||||
\(22\) | 5.01974 | + | 0.756605i | 1.07021 | + | 0.161309i | ||||
\(23\) | 0.500567 | + | 1.27542i | 0.104375 | + | 0.265944i | 0.973515 | − | 0.228622i | \(-0.0734221\pi\) |
−0.869140 | + | 0.494566i | \(0.835327\pi\) | |||||||
\(24\) | −1.57930 | + | 0.711195i | −0.322374 | + | 0.145172i | ||||
\(25\) | −0.346899 | − | 4.62904i | −0.0693797 | − | 0.925808i | ||||
\(26\) | 3.06028 | + | 0.461262i | 0.600170 | + | 0.0904610i | ||||
\(27\) | 4.84119 | − | 1.88756i | 0.931687 | − | 0.363262i | ||||
\(28\) | 1.07109 | + | 2.41925i | 0.202418 | + | 0.457195i | ||||
\(29\) | 5.33020 | − | 0.803398i | 0.989793 | − | 0.149187i | 0.365864 | − | 0.930668i | \(-0.380773\pi\) |
0.623929 | + | 0.781481i | \(0.285535\pi\) | |||||||
\(30\) | −0.353714 | − | 0.974077i | −0.0645791 | − | 0.177841i | ||||
\(31\) | −4.97462 | −0.893469 | −0.446734 | − | 0.894667i | \(-0.647413\pi\) | ||||
−0.446734 | + | 0.894667i | \(0.647413\pi\) | |||||||
\(32\) | −0.623490 | − | 0.781831i | −0.110218 | − | 0.138210i | ||||
\(33\) | −0.431743 | − | 8.78205i | −0.0751568 | − | 1.52876i | ||||
\(34\) | −0.800305 | + | 0.545639i | −0.137251 | + | 0.0935763i | ||||
\(35\) | −1.49131 | + | 0.530889i | −0.252078 | + | 0.0897366i | ||||
\(36\) | 1.74760 | + | 2.43842i | 0.291267 | + | 0.406403i | ||||
\(37\) | 0.0131324 | − | 0.0334608i | 0.00215895 | − | 0.00550092i | −0.929790 | − | 0.368090i | \(-0.880012\pi\) |
0.931949 | + | 0.362589i | \(0.118107\pi\) | |||||||
\(38\) | 3.13705 | + | 2.13880i | 0.508896 | + | 0.346960i | ||||
\(39\) | −0.263211 | − | 5.35396i | −0.0421475 | − | 0.857320i | ||||
\(40\) | 0.494351 | − | 0.337042i | 0.0781637 | − | 0.0532911i | ||||
\(41\) | −6.06757 | + | 1.87160i | −0.947595 | + | 0.292294i | −0.729770 | − | 0.683693i | \(-0.760373\pi\) |
−0.217826 | + | 0.975988i | \(0.569896\pi\) | |||||||
\(42\) | 3.74155 | − | 2.64590i | 0.577334 | − | 0.408272i | ||||
\(43\) | 6.72505 | + | 2.07440i | 1.02556 | + | 0.316343i | 0.761501 | − | 0.648163i | \(-0.224463\pi\) |
0.264059 | + | 0.964507i | \(0.414939\pi\) | |||||||
\(44\) | 4.85091 | − | 1.49631i | 0.731302 | − | 0.225577i | ||||
\(45\) | −1.53300 | + | 0.933666i | −0.228526 | + | 0.139183i | ||||
\(46\) | 1.00438 | + | 0.931929i | 0.148088 | + | 0.137405i | ||||
\(47\) | 2.40441 | − | 1.15790i | 0.350719 | − | 0.168897i | −0.250227 | − | 0.968187i | \(-0.580505\pi\) |
0.600945 | + | 0.799290i | \(0.294791\pi\) | |||||||
\(48\) | −1.11433 | + | 1.32600i | −0.160839 | + | 0.191391i | ||||
\(49\) | −4.00547 | − | 5.74075i | −0.572210 | − | 0.820107i | ||||
\(50\) | −2.32101 | − | 4.02011i | −0.328240 | − | 0.568529i | ||||
\(51\) | 1.20013 | + | 1.17232i | 0.168051 | + | 0.164157i | ||||
\(52\) | 2.95735 | − | 0.912221i | 0.410110 | − | 0.126502i | ||||
\(53\) | 1.91931 | + | 4.89033i | 0.263638 | + | 0.671738i | 0.999988 | − | 0.00486233i | \(-0.00154774\pi\) |
−0.736350 | + | 0.676600i | \(0.763452\pi\) | |||||||
\(54\) | 3.54278 | − | 3.80115i | 0.482111 | − | 0.517271i | ||||
\(55\) | 0.675865 | + | 2.96116i | 0.0911336 | + | 0.399282i | ||||
\(56\) | 2.01469 | + | 1.71494i | 0.269225 | + | 0.229168i | ||||
\(57\) | 2.55894 | − | 6.05792i | 0.338940 | − | 0.802392i | ||||
\(58\) | 4.45376 | − | 3.03652i | 0.584808 | − | 0.398715i | ||||
\(59\) | −1.12856 | − | 4.94456i | −0.146926 | − | 0.643727i | −0.993729 | − | 0.111819i | \(-0.964332\pi\) |
0.846802 | − | 0.531908i | \(-0.178525\pi\) | |||||||
\(60\) | −0.741322 | − | 0.724142i | −0.0957042 | − | 0.0934864i | ||||
\(61\) | −4.89323 | − | 6.13591i | −0.626514 | − | 0.785623i | 0.362731 | − | 0.931894i | \(-0.381844\pi\) |
−0.989245 | + | 0.146271i | \(0.953273\pi\) | |||||||
\(62\) | −4.48198 | + | 2.15841i | −0.569212 | + | 0.274118i | ||||
\(63\) | −5.77202 | − | 5.44828i | −0.727206 | − | 0.686419i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | 0.412040 | + | 1.80526i | 0.0511072 | + | 0.223915i | ||||
\(66\) | −4.19938 | − | 7.72503i | −0.516907 | − | 0.950885i | ||||
\(67\) | 14.8321 | 1.81203 | 0.906017 | − | 0.423242i | \(-0.139108\pi\) | ||||
0.906017 | + | 0.423242i | \(0.139108\pi\) | |||||||
\(68\) | −0.484306 | + | 0.838843i | −0.0587307 | + | 0.101725i | ||||
\(69\) | 1.23895 | − | 2.02406i | 0.149152 | − | 0.243668i | ||||
\(70\) | −1.11328 | + | 1.12537i | −0.133063 | + | 0.134508i | ||||
\(71\) | −7.34678 | + | 9.21257i | −0.871902 | + | 1.09333i | 0.122992 | + | 0.992408i | \(0.460751\pi\) |
−0.994894 | + | 0.100923i | \(0.967820\pi\) | |||||||
\(72\) | 2.63253 | + | 1.43868i | 0.310246 | + | 0.169550i | ||||
\(73\) | −5.86835 | + | 4.00098i | −0.686839 | + | 0.468279i | −0.855775 | − | 0.517348i | \(-0.826919\pi\) |
0.168936 | + | 0.985627i | \(0.445967\pi\) | |||||||
\(74\) | −0.00268621 | − | 0.0358450i | −0.000312266 | − | 0.00416690i | ||||
\(75\) | −6.03236 | + | 5.31561i | −0.696557 | + | 0.613794i | ||||
\(76\) | 3.75437 | + | 0.565881i | 0.430656 | + | 0.0649110i | ||||
\(77\) | −11.8405 | + | 6.33991i | −1.34935 | + | 0.722500i | ||||
\(78\) | −2.56014 | − | 4.70955i | −0.289879 | − | 0.533251i | ||||
\(79\) | 6.25925 | 0.704221 | 0.352110 | − | 0.935958i | \(-0.385464\pi\) | ||||
0.352110 | + | 0.935958i | \(0.385464\pi\) | |||||||
\(80\) | 0.299157 | − | 0.518155i | 0.0334468 | − | 0.0579315i | ||||
\(81\) | −7.66562 | − | 4.71576i | −0.851735 | − | 0.523973i | ||||
\(82\) | −4.65464 | + | 4.31887i | −0.514019 | + | 0.476940i | ||||
\(83\) | 1.05484 | − | 0.719180i | 0.115784 | − | 0.0789402i | −0.504044 | − | 0.863678i | \(-0.668155\pi\) |
0.619828 | + | 0.784738i | \(0.287203\pi\) | |||||||
\(84\) | 2.22300 | − | 4.00727i | 0.242550 | − | 0.437230i | ||||
\(85\) | −0.478834 | − | 0.326463i | −0.0519368 | − | 0.0354099i | ||||
\(86\) | 6.95911 | − | 1.04892i | 0.750420 | − | 0.113108i | ||||
\(87\) | −6.67881 | − | 6.52403i | −0.716043 | − | 0.699450i | ||||
\(88\) | 3.72130 | − | 3.45286i | 0.396692 | − | 0.368076i | ||||
\(89\) | 0.133756 | + | 1.78485i | 0.0141781 | + | 0.189194i | 0.999796 | + | 0.0202040i | \(0.00643158\pi\) |
−0.985618 | + | 0.168990i | \(0.945949\pi\) | |||||||
\(90\) | −0.976083 | + | 1.50635i | −0.102888 | + | 0.158783i | ||||
\(91\) | −7.21854 | + | 3.86512i | −0.756708 | + | 0.405174i | ||||
\(92\) | 1.30926 | + | 0.403855i | 0.136500 | + | 0.0421047i | ||||
\(93\) | 5.19745 | + | 6.87220i | 0.538950 | + | 0.712614i | ||||
\(94\) | 1.66390 | − | 2.08646i | 0.171618 | − | 0.215202i | ||||
\(95\) | −0.505494 | + | 2.21471i | −0.0518625 | + | 0.227225i | ||||
\(96\) | −0.428645 | + | 1.67817i | −0.0437484 | + | 0.171278i | ||||
\(97\) | 4.87541 | − | 8.44447i | 0.495023 | − | 0.857406i | −0.504960 | − | 0.863143i | \(-0.668493\pi\) |
0.999984 | + | 0.00573700i | \(0.00182615\pi\) | |||||||
\(98\) | −6.09962 | − | 3.43433i | −0.616155 | − | 0.346920i | ||||
\(99\) | −11.6809 | + | 9.77185i | −1.17397 | + | 0.982108i | ||||
\(100\) | −3.83542 | − | 2.61494i | −0.383542 | − | 0.261494i | ||||
\(101\) | 3.66635 | − | 1.13092i | 0.364815 | − | 0.112531i | −0.106928 | − | 0.994267i | \(-0.534101\pi\) |
0.471743 | + | 0.881736i | \(0.343625\pi\) | |||||||
\(102\) | 1.58993 | + | 0.535504i | 0.157426 | + | 0.0530228i | ||||
\(103\) | 12.5571 | + | 11.6513i | 1.23729 | + | 1.14804i | 0.983525 | + | 0.180771i | \(0.0578592\pi\) |
0.253764 | + | 0.967266i | \(0.418331\pi\) | |||||||
\(104\) | 2.26868 | − | 2.10503i | 0.222462 | − | 0.206415i | ||||
\(105\) | 2.29151 | + | 1.50551i | 0.223629 | + | 0.146923i | ||||
\(106\) | 3.85107 | + | 3.57327i | 0.374049 | + | 0.347067i | ||||
\(107\) | 1.27134 | + | 16.9648i | 0.122905 | + | 1.64005i | 0.628880 | + | 0.777502i | \(0.283514\pi\) |
−0.505975 | + | 0.862548i | \(0.668867\pi\) | |||||||
\(108\) | 1.54267 | − | 4.96187i | 0.148444 | − | 0.477456i | ||||
\(109\) | 1.50906 | − | 20.1371i | 0.144542 | − | 1.92878i | −0.181436 | − | 0.983403i | \(-0.558075\pi\) |
0.325978 | − | 0.945377i | \(-0.394306\pi\) | |||||||
\(110\) | 1.89373 | + | 2.37466i | 0.180560 | + | 0.226415i | ||||
\(111\) | −0.0599450 | + | 0.0168178i | −0.00568973 | + | 0.00159627i | ||||
\(112\) | 2.55926 | + | 0.670962i | 0.241827 | + | 0.0633999i | ||||
\(113\) | 0.101009 | + | 1.34787i | 0.00950211 | + | 0.126797i | 0.999937 | − | 0.0111805i | \(-0.00355894\pi\) |
−0.990435 | + | 0.137977i | \(0.955940\pi\) | |||||||
\(114\) | −0.322910 | − | 6.56828i | −0.0302433 | − | 0.615176i | ||||
\(115\) | −0.299496 | + | 0.763104i | −0.0279282 | + | 0.0711598i | ||||
\(116\) | 2.69520 | − | 4.66823i | 0.250243 | − | 0.433434i | ||||
\(117\) | −7.12124 | + | 5.95739i | −0.658359 | + | 0.550761i | ||||
\(118\) | −3.16216 | − | 3.96523i | −0.291101 | − | 0.365029i | ||||
\(119\) | 0.833335 | − | 2.42343i | 0.0763917 | − | 0.222156i | ||||
\(120\) | −0.982102 | − | 0.330782i | −0.0896532 | − | 0.0301961i | ||||
\(121\) | 5.39619 | + | 13.7493i | 0.490563 | + | 1.24993i | ||||
\(122\) | −7.07092 | − | 3.40518i | −0.640171 | − | 0.308290i | ||||
\(123\) | 8.92487 | + | 6.42663i | 0.804729 | + | 0.579469i | ||||
\(124\) | −3.10163 | + | 3.88932i | −0.278534 | + | 0.349271i | ||||
\(125\) | 3.59689 | − | 4.51035i | 0.321715 | − | 0.403418i | ||||
\(126\) | −7.56433 | − | 2.40435i | −0.673884 | − | 0.214196i | ||||
\(127\) | 2.32932 | + | 2.92088i | 0.206694 | + | 0.259186i | 0.874363 | − | 0.485272i | \(-0.161279\pi\) |
−0.667669 | + | 0.744458i | \(0.732708\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −4.16059 | − | 11.4576i | −0.366319 | − | 1.00879i | ||||
\(130\) | 1.15451 | + | 1.44771i | 0.101257 | + | 0.126972i | ||||
\(131\) | −13.7953 | − | 4.25529i | −1.20530 | − | 0.371786i | −0.373905 | − | 0.927467i | \(-0.621981\pi\) |
−0.831396 | + | 0.555681i | \(0.812458\pi\) | |||||||
\(132\) | −7.13527 | − | 5.13797i | −0.621046 | − | 0.447203i | ||||
\(133\) | −10.0361 | + | 0.429804i | −0.870243 | + | 0.0372687i | ||||
\(134\) | 13.3633 | − | 6.43542i | 1.15441 | − | 0.555936i | ||||
\(135\) | 2.89148 | + | 1.14228i | 0.248859 | + | 0.0983117i | ||||
\(136\) | −0.0723845 | + | 0.965904i | −0.00620692 | + | 0.0828256i | ||||
\(137\) | 3.53069 | − | 3.27601i | 0.301648 | − | 0.279888i | −0.514797 | − | 0.857312i | \(-0.672133\pi\) |
0.816444 | + | 0.577424i | \(0.195942\pi\) | |||||||
\(138\) | 0.238046 | − | 2.36118i | 0.0202638 | − | 0.200997i | ||||
\(139\) | −0.635903 | + | 0.196150i | −0.0539366 | + | 0.0166372i | −0.321606 | − | 0.946874i | \(-0.604223\pi\) |
0.267669 | + | 0.963511i | \(0.413746\pi\) | |||||||
\(140\) | −0.514753 | + | 1.49696i | −0.0435046 | + | 0.126516i | ||||
\(141\) | −4.11169 | − | 2.11180i | −0.346267 | − | 0.177846i | ||||
\(142\) | −2.62203 | + | 11.4879i | −0.220036 | + | 0.964042i | ||||
\(143\) | 5.73980 | + | 14.6248i | 0.479986 | + | 1.22298i | ||||
\(144\) | 2.99604 | + | 0.153997i | 0.249670 | + | 0.0128331i | ||||
\(145\) | 2.66475 | + | 1.81680i | 0.221295 | + | 0.150877i | ||||
\(146\) | −3.55125 | + | 6.15094i | −0.293903 | + | 0.509055i | ||||
\(147\) | −3.74569 | + | 11.5313i | −0.308939 | + | 0.951082i | ||||
\(148\) | −0.0179728 | − | 0.0311298i | −0.00147735 | − | 0.00255885i | ||||
\(149\) | −0.888408 | + | 11.8550i | −0.0727812 | + | 0.971198i | 0.834591 | + | 0.550870i | \(0.185704\pi\) |
−0.907372 | + | 0.420328i | \(0.861915\pi\) | |||||||
\(150\) | −3.12861 | + | 7.40654i | −0.255450 | + | 0.604741i | ||||
\(151\) | −16.6199 | − | 2.50505i | −1.35251 | − | 0.203858i | −0.567517 | − | 0.823361i | \(-0.692096\pi\) |
−0.784994 | + | 0.619503i | \(0.787334\pi\) | |||||||
\(152\) | 3.62810 | − | 1.11912i | 0.294278 | − | 0.0907727i | ||||
\(153\) | 0.365613 | − | 2.88274i | 0.0295581 | − | 0.233056i | ||||
\(154\) | −7.91714 | + | 10.8495i | −0.637981 | + | 0.874275i | ||||
\(155\) | −2.18185 | − | 2.02446i | −0.175250 | − | 0.162608i | ||||
\(156\) | −4.35000 | − | 3.13235i | −0.348279 | − | 0.250789i | ||||
\(157\) | −4.76890 | − | 20.8939i | −0.380600 | − | 1.66752i | −0.695604 | − | 0.718426i | \(-0.744863\pi\) |
0.315004 | − | 0.949090i | \(-0.397994\pi\) | |||||||
\(158\) | 5.63939 | − | 2.71579i | 0.448646 | − | 0.216056i | ||||
\(159\) | 4.75047 | − | 7.76081i | 0.376737 | − | 0.615472i | ||||
\(160\) | 0.0447121 | − | 0.596641i | 0.00353480 | − | 0.0471686i | ||||
\(161\) | −3.60438 | − | 0.386419i | −0.284065 | − | 0.0304541i | ||||
\(162\) | −8.95257 | − | 0.922763i | −0.703380 | − | 0.0724991i | ||||
\(163\) | −3.35095 | + | 3.10923i | −0.262467 | + | 0.243534i | −0.800418 | − | 0.599442i | \(-0.795389\pi\) |
0.537951 | + | 0.842976i | \(0.319199\pi\) | |||||||
\(164\) | −2.31979 | + | 5.91074i | −0.181146 | + | 0.461551i | ||||
\(165\) | 3.38456 | − | 4.02747i | 0.263487 | − | 0.313538i | ||||
\(166\) | 0.638340 | − | 1.10564i | 0.0495448 | − | 0.0858141i | ||||
\(167\) | −1.45145 | + | 3.69823i | −0.112316 | + | 0.286178i | −0.975969 | − | 0.217910i | \(-0.930076\pi\) |
0.863652 | + | 0.504088i | \(0.168171\pi\) | |||||||
\(168\) | 0.264166 | − | 4.57496i | 0.0203809 | − | 0.352965i | ||||
\(169\) | −1.25018 | − | 3.18540i | −0.0961674 | − | 0.245031i | ||||
\(170\) | −0.573062 | − | 0.0863752i | −0.0439518 | − | 0.00662467i | ||||
\(171\) | −11.0423 | + | 2.79422i | −0.844425 | + | 0.213679i | ||||
\(172\) | 5.81483 | − | 3.96448i | 0.443377 | − | 0.302289i | ||||
\(173\) | −9.29399 | + | 11.6543i | −0.706609 | + | 0.886060i | −0.997498 | − | 0.0706969i | \(-0.977478\pi\) |
0.290889 | + | 0.956757i | \(0.406049\pi\) | |||||||
\(174\) | −8.84807 | − | 2.98012i | −0.670770 | − | 0.225923i | ||||
\(175\) | 11.2832 | + | 4.85047i | 0.852932 | + | 0.366661i | ||||
\(176\) | 1.85463 | − | 4.72553i | 0.139798 | − | 0.356200i | ||||
\(177\) | −5.65156 | + | 6.72509i | −0.424797 | + | 0.505489i | ||||
\(178\) | 0.894930 | + | 1.55006i | 0.0670778 | + | 0.116182i | ||||
\(179\) | −10.8182 | + | 1.63059i | −0.808593 | + | 0.121876i | −0.540312 | − | 0.841465i | \(-0.681694\pi\) |
−0.268281 | + | 0.963341i | \(0.586456\pi\) | |||||||
\(180\) | −0.225840 | + | 1.78068i | −0.0168331 | + | 0.132724i | ||||
\(181\) | 2.40920 | + | 1.16021i | 0.179075 | + | 0.0862378i | 0.521273 | − | 0.853390i | \(-0.325457\pi\) |
−0.342199 | + | 0.939628i | \(0.611172\pi\) | |||||||
\(182\) | −4.82667 | + | 6.61435i | −0.357776 | + | 0.490289i | ||||
\(183\) | −3.36406 | + | 13.1705i | −0.248679 | + | 0.973592i | ||||
\(184\) | 1.35483 | − | 0.204208i | 0.0998796 | − | 0.0150544i | ||||
\(185\) | 0.0193769 | − | 0.00933142i | 0.00142462 | − | 0.000686060i | ||||
\(186\) | 7.66448 | + | 3.93655i | 0.561987 | + | 0.288642i | ||||
\(187\) | −4.43016 | − | 2.13345i | −0.323965 | − | 0.156013i | ||||
\(188\) | 0.593839 | − | 2.60178i | 0.0433102 | − | 0.189754i | ||||
\(189\) | −1.49598 | + | 13.6661i | −0.108817 | + | 0.994062i | ||||
\(190\) | 0.505494 | + | 2.21471i | 0.0366724 | + | 0.160672i | ||||
\(191\) | −1.68932 | + | 7.40139i | −0.122235 | + | 0.535546i | 0.876316 | + | 0.481736i | \(0.159994\pi\) |
−0.998551 | + | 0.0538097i | \(0.982864\pi\) | |||||||
\(192\) | 0.341936 | + | 1.69796i | 0.0246771 | + | 0.122540i | ||||
\(193\) | 2.94589 | − | 12.9068i | 0.212050 | − | 0.929052i | −0.751121 | − | 0.660164i | \(-0.770487\pi\) |
0.963171 | − | 0.268888i | \(-0.0866561\pi\) | |||||||
\(194\) | 0.728680 | − | 9.72356i | 0.0523162 | − | 0.698111i | ||||
\(195\) | 2.06339 | − | 2.45534i | 0.147762 | − | 0.175830i | ||||
\(196\) | −6.98567 | − | 0.447699i | −0.498976 | − | 0.0319785i | ||||
\(197\) | −18.8335 | −1.34183 | −0.670914 | − | 0.741535i | \(-0.734098\pi\) | ||||
−0.670914 | + | 0.741535i | \(0.734098\pi\) | |||||||
\(198\) | −6.28428 | + | 13.8723i | −0.446604 | + | 0.985860i | ||||
\(199\) | −10.7086 | − | 9.93616i | −0.759115 | − | 0.704356i | 0.202341 | − | 0.979315i | \(-0.435145\pi\) |
−0.961456 | + | 0.274959i | \(0.911336\pi\) | |||||||
\(200\) | −4.59017 | − | 0.691857i | −0.324574 | − | 0.0489217i | ||||
\(201\) | −15.4965 | − | 20.4899i | −1.09304 | − | 1.44524i | ||||
\(202\) | 2.81258 | − | 2.60969i | 0.197892 | − | 0.183617i | ||||
\(203\) | −4.63758 | + | 13.4866i | −0.325494 | + | 0.946573i | ||||
\(204\) | 1.66482 | − | 0.207371i | 0.116561 | − | 0.0145189i | ||||
\(205\) | −3.42287 | − | 1.64837i | −0.239064 | − | 0.115127i | ||||
\(206\) | 16.3689 | + | 5.04913i | 1.14047 | + | 0.351790i | ||||
\(207\) | −4.09059 | + | 0.403177i | −0.284315 | + | 0.0280227i | ||||
\(208\) | 1.13067 | − | 2.88091i | 0.0783981 | − | 0.199755i | ||||
\(209\) | −1.44036 | + | 19.2202i | −0.0996316 | + | 1.32949i | ||||
\(210\) | 2.71780 | + | 0.362168i | 0.187546 | + | 0.0249920i | ||||
\(211\) | −1.03747 | − | 13.8440i | −0.0714222 | − | 0.953064i | −0.911687 | − | 0.410886i | \(-0.865219\pi\) |
0.840264 | − | 0.542177i | \(-0.182400\pi\) | |||||||
\(212\) | 5.02008 | + | 1.54849i | 0.344781 | + | 0.106351i | ||||
\(213\) | 20.4026 | + | 0.524001i | 1.39796 | + | 0.0359039i | ||||
\(214\) | 8.50619 | + | 14.7332i | 0.581471 | + | 1.00714i | ||||
\(215\) | 2.10538 | + | 3.64663i | 0.143586 | + | 0.248698i | ||||
\(216\) | −0.762974 | − | 5.13983i | −0.0519138 | − | 0.349721i | ||||
\(217\) | 6.08709 | − | 11.6694i | 0.413219 | − | 0.792172i | ||||
\(218\) | −7.37752 | − | 18.7976i | −0.499669 | − | 1.27314i | ||||
\(219\) | 11.6584 | + | 3.92666i | 0.787799 | + | 0.265339i | ||||
\(220\) | 2.73652 | + | 1.31784i | 0.184496 | + | 0.0888487i | ||||
\(221\) | −2.70084 | − | 1.30065i | −0.181678 | − | 0.0874915i | ||||
\(222\) | −0.0467117 | + | 0.0411615i | −0.00313508 | + | 0.00276258i | ||||
\(223\) | −6.18073 | − | 15.7482i | −0.413892 | − | 1.05458i | −0.974078 | − | 0.226213i | \(-0.927366\pi\) |
0.560186 | − | 0.828367i | \(-0.310730\pi\) | |||||||
\(224\) | 2.59693 | − | 0.505905i | 0.173515 | − | 0.0338022i | ||||
\(225\) | 13.6458 | + | 2.77971i | 0.909721 | + | 0.185314i | ||||
\(226\) | 0.675824 | + | 1.17056i | 0.0449551 | + | 0.0778646i | ||||
\(227\) | −5.85316 | − | 10.1380i | −0.388488 | − | 0.672881i | 0.603758 | − | 0.797167i | \(-0.293669\pi\) |
−0.992246 | + | 0.124286i | \(0.960336\pi\) | |||||||
\(228\) | −3.14080 | − | 5.77771i | −0.208005 | − | 0.382638i | ||||
\(229\) | −10.9103 | − | 3.36537i | −0.720971 | − | 0.222390i | −0.0875090 | − | 0.996164i | \(-0.527891\pi\) |
−0.633462 | + | 0.773774i | \(0.718367\pi\) | |||||||
\(230\) | 0.0612616 | + | 0.817480i | 0.00403947 | + | 0.0539030i | ||||
\(231\) | 21.1291 | + | 9.73319i | 1.39020 | + | 0.640397i | ||||
\(232\) | 0.402826 | − | 5.37533i | 0.0264468 | − | 0.352908i | ||||
\(233\) | 7.41692 | − | 18.8980i | 0.485899 | − | 1.23805i | −0.452273 | − | 0.891880i | \(-0.649387\pi\) |
0.938172 | − | 0.346170i | \(-0.112518\pi\) | |||||||
\(234\) | −3.83120 | + | 8.45721i | −0.250453 | + | 0.552865i | ||||
\(235\) | 1.52578 | + | 0.470640i | 0.0995307 | + | 0.0307012i | ||||
\(236\) | −4.56946 | − | 2.20054i | −0.297446 | − | 0.143243i | ||||
\(237\) | −6.53962 | − | 8.64685i | −0.424794 | − | 0.561674i | ||||
\(238\) | −0.300678 | − | 2.54501i | −0.0194901 | − | 0.164968i | ||||
\(239\) | 6.38229 | − | 5.92190i | 0.412836 | − | 0.383056i | −0.446232 | − | 0.894917i | \(-0.647234\pi\) |
0.859068 | + | 0.511861i | \(0.171044\pi\) | |||||||
\(240\) | −1.02836 | + | 0.128094i | −0.0663806 | + | 0.00826840i | ||||
\(241\) | 8.26233 | + | 1.24535i | 0.532223 | + | 0.0802198i | 0.409655 | − | 0.912240i | \(-0.365649\pi\) |
0.122568 | + | 0.992460i | \(0.460887\pi\) | |||||||
\(242\) | 10.8274 | + | 10.0463i | 0.696010 | + | 0.645803i | ||||
\(243\) | 1.49439 | + | 15.5167i | 0.0958649 | + | 0.995394i | ||||
\(244\) | −7.84813 | −0.502425 | ||||||||
\(245\) | 0.579460 | − | 4.14792i | 0.0370203 | − | 0.265001i | ||||
\(246\) | 10.8294 | + | 1.91783i | 0.690460 | + | 0.122277i | ||||
\(247\) | −0.878111 | + | 11.7176i | −0.0558729 | + | 0.745572i | ||||
\(248\) | −1.10696 | + | 4.84990i | −0.0702919 | + | 0.307969i | ||||
\(249\) | −2.09560 | − | 0.705821i | −0.132803 | − | 0.0447296i | ||||
\(250\) | 1.28371 | − | 5.62432i | 0.0811892 | − | 0.355713i | ||||
\(251\) | −4.90042 | − | 21.4701i | −0.309312 | − | 1.35518i | −0.855622 | − | 0.517600i | \(-0.826825\pi\) |
0.546311 | − | 0.837583i | \(-0.316032\pi\) | |||||||
\(252\) | −7.85843 | + | 1.11580i | −0.495035 | + | 0.0702886i | ||||
\(253\) | −1.54773 | + | 6.78103i | −0.0973047 | + | 0.426320i | ||||
\(254\) | 3.36597 | + | 1.62097i | 0.211200 | + | 0.101708i | ||||
\(255\) | 0.0492884 | + | 1.00257i | 0.00308656 | + | 0.0627835i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | −20.8465 | + | 3.14210i | −1.30037 | + | 0.195999i | −0.762476 | − | 0.647016i | \(-0.776017\pi\) |
−0.537890 | + | 0.843015i | \(0.680778\pi\) | |||||||
\(258\) | −8.71985 | − | 8.51777i | −0.542874 | − | 0.530293i | ||||
\(259\) | 0.0624228 | + | 0.0717494i | 0.00387876 | + | 0.00445829i | ||||
\(260\) | 1.66831 | + | 0.803418i | 0.103464 | + | 0.0498259i | ||||
\(261\) | −2.03467 | + | 16.0427i | −0.125943 | + | 0.993019i | ||||
\(262\) | −14.2754 | + | 2.15168i | −0.881939 | + | 0.132931i | ||||
\(263\) | 7.87764 | + | 13.6445i | 0.485756 | + | 0.841355i | 0.999866 | − | 0.0163699i | \(-0.00521092\pi\) |
−0.514110 | + | 0.857724i | \(0.671878\pi\) | |||||||
\(264\) | −8.65794 | − | 1.53327i | −0.532859 | − | 0.0943664i | ||||
\(265\) | −1.14835 | + | 2.92595i | −0.0705427 | + | 0.179740i | ||||
\(266\) | −8.85576 | + | 4.74176i | −0.542982 | + | 0.290736i | ||||
\(267\) | 2.32594 | − | 2.04958i | 0.142345 | − | 0.125432i | ||||
\(268\) | 9.24768 | − | 11.5962i | 0.564892 | − | 0.708352i | ||||
\(269\) | −18.5156 | + | 12.6237i | −1.12892 | + | 0.769682i | −0.975830 | − | 0.218531i | \(-0.929874\pi\) |
−0.153086 | + | 0.988213i | \(0.548921\pi\) | |||||||
\(270\) | 3.10075 | − | 0.225409i | 0.188706 | − | 0.0137180i | ||||
\(271\) | 28.9729 | + | 4.36696i | 1.75998 | + | 0.265274i | 0.947967 | − | 0.318368i | \(-0.103135\pi\) |
0.812011 | + | 0.583642i | \(0.198373\pi\) | |||||||
\(272\) | 0.353874 | + | 0.901656i | 0.0214568 | + | 0.0546709i | ||||
\(273\) | 12.8813 | + | 5.93382i | 0.779614 | + | 0.359131i | ||||
\(274\) | 1.75964 | − | 4.48349i | 0.106304 | − | 0.270857i | ||||
\(275\) | 11.7825 | − | 20.4078i | 0.710510 | − | 1.23064i | ||||
\(276\) | −0.810004 | − | 2.23063i | −0.0487565 | − | 0.134268i | ||||
\(277\) | 3.26597 | − | 8.32156i | 0.196233 | − | 0.499994i | −0.798559 | − | 0.601916i | \(-0.794404\pi\) |
0.994792 | + | 0.101922i | \(0.0324993\pi\) | |||||||
\(278\) | −0.487823 | + | 0.452633i | −0.0292577 | + | 0.0271471i | ||||
\(279\) | 4.06337 | − | 14.3601i | 0.243267 | − | 0.859714i | ||||
\(280\) | 0.185730 | + | 1.57206i | 0.0110995 | + | 0.0939484i | ||||
\(281\) | 1.67715 | − | 22.3800i | 0.100050 | − | 1.33508i | −0.690790 | − | 0.723055i | \(-0.742737\pi\) |
0.790841 | − | 0.612022i | \(-0.209644\pi\) | |||||||
\(282\) | −4.62078 | − | 0.118676i | −0.275163 | − | 0.00706704i | ||||
\(283\) | 13.9501 | − | 6.71801i | 0.829247 | − | 0.399344i | 0.0294145 | − | 0.999567i | \(-0.490636\pi\) |
0.799833 | + | 0.600223i | \(0.204921\pi\) | |||||||
\(284\) | 2.62203 | + | 11.4879i | 0.155589 | + | 0.681681i | ||||
\(285\) | 3.58765 | − | 1.61560i | 0.212514 | − | 0.0956998i | ||||
\(286\) | 11.5168 | + | 10.6861i | 0.681004 | + | 0.631880i | ||||
\(287\) | 3.03407 | − | 16.5234i | 0.179096 | − | 0.975345i | ||||
\(288\) | 2.76616 | − | 1.16119i | 0.162998 | − | 0.0684237i | ||||
\(289\) | −15.3482 | + | 4.73430i | −0.902836 | + | 0.278488i | ||||
\(290\) | 3.18914 | + | 0.480685i | 0.187272 | + | 0.0282268i | ||||
\(291\) | −16.7594 | + | 2.08756i | −0.982455 | + | 0.122375i | ||||
\(292\) | −0.530770 | + | 7.08263i | −0.0310610 | + | 0.414480i | ||||
\(293\) | 11.4029 | + | 19.7504i | 0.666166 | + | 1.15383i | 0.978968 | + | 0.204014i | \(0.0653989\pi\) |
−0.312802 | + | 0.949818i | \(0.601268\pi\) | |||||||
\(294\) | 1.62847 | + | 12.0145i | 0.0949745 | + | 0.700700i | ||||
\(295\) | 1.51724 | − | 2.62794i | 0.0883372 | − | 0.153004i | ||||
\(296\) | −0.0296996 | − | 0.0202488i | −0.00172625 | − | 0.00117694i | ||||
\(297\) | 25.7035 | + | 5.92705i | 1.49147 | + | 0.343922i | ||||
\(298\) | 4.34326 | + | 11.0664i | 0.251598 | + | 0.641061i | ||||
\(299\) | −0.943568 | + | 4.13404i | −0.0545679 | + | 0.239078i | ||||
\(300\) | 0.394796 | + | 8.03052i | 0.0227935 | + | 0.463642i | ||||
\(301\) | −13.0951 | + | 13.2373i | −0.754787 | + | 0.762983i | ||||
\(302\) | −16.0609 | + | 4.95415i | −0.924204 | + | 0.285079i | ||||
\(303\) | −5.39288 | − | 3.88331i | −0.309813 | − | 0.223090i | ||||
\(304\) | 2.78324 | − | 2.58247i | 0.159630 | − | 0.148115i | ||||
\(305\) | 0.350906 | − | 4.68252i | 0.0200928 | − | 0.268120i | ||||
\(306\) | −0.921370 | − | 2.75590i | −0.0526712 | − | 0.157544i | ||||
\(307\) | −8.09760 | + | 3.89960i | −0.462154 | + | 0.222562i | −0.650448 | − | 0.759551i | \(-0.725419\pi\) |
0.188293 | + | 0.982113i | \(0.439704\pi\) | |||||||
\(308\) | −2.42569 | + | 13.2101i | −0.138216 | + | 0.752718i | ||||
\(309\) | 2.97613 | − | 29.5202i | 0.169306 | − | 1.67935i | ||||
\(310\) | −2.84416 | − | 0.877306i | −0.161537 | − | 0.0498276i | ||||
\(311\) | −4.51940 | − | 5.66715i | −0.256272 | − | 0.321354i | 0.637007 | − | 0.770858i | \(-0.280172\pi\) |
−0.893278 | + | 0.449504i | \(0.851601\pi\) | |||||||
\(312\) | −5.27829 | − | 0.934756i | −0.298825 | − | 0.0529202i | ||||
\(313\) | 18.4744 | 1.04423 | 0.522117 | − | 0.852874i | \(-0.325142\pi\) | ||||
0.522117 | + | 0.852874i | \(0.325142\pi\) | |||||||
\(314\) | −13.3622 | − | 16.7556i | −0.754070 | − | 0.945574i | ||||
\(315\) | −0.314363 | − | 4.73856i | −0.0177124 | − | 0.266987i | ||||
\(316\) | 3.90258 | − | 4.89368i | 0.219537 | − | 0.275291i | ||||
\(317\) | 17.1344 | − | 21.4858i | 0.962362 | − | 1.20676i | −0.0160014 | − | 0.999872i | \(-0.505094\pi\) |
0.978364 | − | 0.206892i | \(-0.0663349\pi\) | |||||||
\(318\) | 0.912734 | − | 9.05340i | 0.0511836 | − | 0.507690i | ||||
\(319\) | 24.6542 | + | 11.8728i | 1.38037 | + | 0.664751i | ||||
\(320\) | −0.218589 | − | 0.556955i | −0.0122195 | − | 0.0311347i | ||||
\(321\) | 22.1078 | − | 19.4810i | 1.23394 | − | 1.08732i | ||||
\(322\) | −3.41510 | + | 1.21573i | −0.190316 | + | 0.0677501i | ||||
\(323\) | −2.29295 | − | 2.87527i | −0.127583 | − | 0.159984i | ||||
\(324\) | −8.46636 | + | 3.05299i | −0.470353 | + | 0.169611i | ||||
\(325\) | 7.18316 | − | 12.4416i | 0.398450 | − | 0.690136i | ||||
\(326\) | −1.67006 | + | 4.25524i | −0.0924961 | + | 0.235676i | ||||
\(327\) | −29.3950 | + | 18.9543i | −1.62555 | + | 1.04818i | ||||
\(328\) | 0.474511 | + | 6.33191i | 0.0262005 | + | 0.349621i | ||||
\(329\) | −0.225906 | + | 7.05707i | −0.0124546 | + | 0.389069i | ||||
\(330\) | 1.30193 | − | 5.09713i | 0.0716688 | − | 0.280588i | ||||
\(331\) | 5.52839 | + | 6.93238i | 0.303868 | + | 0.381038i | 0.910197 | − | 0.414176i | \(-0.135930\pi\) |
−0.606329 | + | 0.795214i | \(0.707359\pi\) | |||||||
\(332\) | 0.0954064 | − | 1.27311i | 0.00523611 | − | 0.0698710i | ||||
\(333\) | 0.0858631 | + | 0.0652401i | 0.00470527 | + | 0.00357514i | ||||
\(334\) | 0.296892 | + | 3.96175i | 0.0162452 | + | 0.216777i | ||||
\(335\) | 6.50531 | + | 6.03604i | 0.355423 | + | 0.329784i | ||||
\(336\) | −1.74699 | − | 4.23651i | −0.0953063 | − | 0.231121i | ||||
\(337\) | 21.2607 | − | 19.7271i | 1.15815 | − | 1.07460i | 0.162010 | − | 0.986789i | \(-0.448202\pi\) |
0.996137 | − | 0.0878139i | \(-0.0279881\pi\) | |||||||
\(338\) | −2.50846 | − | 2.32751i | −0.136442 | − | 0.126600i | ||||
\(339\) | 1.75648 | − | 1.54778i | 0.0953990 | − | 0.0840639i | ||||
\(340\) | −0.553788 | + | 0.170821i | −0.0300333 | + | 0.00926406i | ||||
\(341\) | −20.8653 | − | 14.2257i | −1.12992 | − | 0.770367i | ||||
\(342\) | −8.73639 | + | 7.30857i | −0.472410 | + | 0.395202i | ||||
\(343\) | 18.3678 | − | 2.37144i | 0.991768 | − | 0.128046i | ||||
\(344\) | 3.51886 | − | 6.09484i | 0.189724 | − | 0.328612i | ||||
\(345\) | 1.36710 | − | 0.383545i | 0.0736023 | − | 0.0206494i | ||||
\(346\) | −3.31699 | + | 14.5327i | −0.178322 | + | 0.781281i | ||||
\(347\) | 11.8256 | − | 14.8289i | 0.634832 | − | 0.796055i | −0.355514 | − | 0.934671i | \(-0.615694\pi\) |
0.990346 | + | 0.138616i | \(0.0442655\pi\) | |||||||
\(348\) | −9.26486 | + | 1.15404i | −0.496649 | + | 0.0618628i | ||||
\(349\) | 19.4917 | + | 6.01241i | 1.04337 | + | 0.321837i | 0.768638 | − | 0.639684i | \(-0.220935\pi\) |
0.274731 | + | 0.961521i | \(0.411411\pi\) | |||||||
\(350\) | 12.2704 | − | 0.525487i | 0.655880 | − | 0.0280885i | ||||
\(351\) | 15.6701 | + | 3.61341i | 0.836406 | + | 0.192870i | ||||
\(352\) | −0.379363 | − | 5.06225i | −0.0202201 | − | 0.269819i | ||||
\(353\) | −9.11872 | + | 8.46094i | −0.485340 | + | 0.450330i | −0.884492 | − | 0.466555i | \(-0.845495\pi\) |
0.399152 | + | 0.916885i | \(0.369305\pi\) | |||||||
\(354\) | −2.17397 | + | 8.51122i | −0.115545 | + | 0.452366i | ||||
\(355\) | −6.97138 | + | 1.05077i | −0.370003 | + | 0.0557689i | ||||
\(356\) | 1.47885 | + | 1.00826i | 0.0783790 | + | 0.0534379i | ||||
\(357\) | −4.21852 | + | 1.38077i | −0.223268 | + | 0.0730781i | ||||
\(358\) | −9.03941 | + | 6.16297i | −0.477748 | + | 0.325723i | ||||
\(359\) | −6.30268 | + | 5.84803i | −0.332643 | + | 0.308647i | −0.828756 | − | 0.559611i | \(-0.810951\pi\) |
0.496113 | + | 0.868258i | \(0.334760\pi\) | |||||||
\(360\) | 0.569132 | + | 1.70232i | 0.0299959 | + | 0.0897204i | ||||
\(361\) | 2.29223 | − | 3.97026i | 0.120644 | − | 0.208961i | ||||
\(362\) | 2.67401 | 0.140543 | ||||||||
\(363\) | 13.3560 | − | 21.8197i | 0.701011 | − | 1.14524i | ||||
\(364\) | −1.47881 | + | 8.05354i | −0.0775110 | + | 0.422120i | ||||
\(365\) | −4.20206 | − | 0.633359i | −0.219946 | − | 0.0331515i | ||||
\(366\) | 2.68356 | + | 13.3258i | 0.140272 | + | 0.696553i | ||||
\(367\) | −1.30133 | − | 17.3651i | −0.0679291 | − | 0.906450i | −0.922223 | − | 0.386659i | \(-0.873629\pi\) |
0.854294 | − | 0.519791i | \(-0.173990\pi\) | |||||||
\(368\) | 1.13206 | − | 0.771825i | 0.0590127 | − | 0.0402342i | ||||
\(369\) | −0.446563 | − | 19.0438i | −0.0232471 | − | 0.991379i | ||||
\(370\) | 0.0134092 | − | 0.0168146i | 0.000697113 | − | 0.000874152i | ||||
\(371\) | −13.8202 | − | 1.48164i | −0.717509 | − | 0.0769228i | ||||
\(372\) | 8.61346 | + | 0.221220i | 0.446587 | + | 0.0114697i | ||||
\(373\) | 3.36105 | − | 5.82151i | 0.174029 | − | 0.301426i | −0.765796 | − | 0.643084i | \(-0.777655\pi\) |
0.939825 | + | 0.341657i | \(0.110988\pi\) | |||||||
\(374\) | −4.91711 | −0.254257 | ||||||||
\(375\) | −9.98884 | − | 0.256544i | −0.515821 | − | 0.0132479i | ||||
\(376\) | −0.593839 | − | 2.60178i | −0.0306249 | − | 0.134176i | ||||
\(377\) | 15.0304 | + | 7.23825i | 0.774104 | + | 0.372789i | ||||
\(378\) | 4.58166 | + | 12.9618i | 0.235655 | + | 0.666683i | ||||
\(379\) | −28.0808 | + | 13.5230i | −1.44241 | + | 0.694630i | −0.981260 | − | 0.192690i | \(-0.938279\pi\) |
−0.461154 | + | 0.887320i | \(0.652564\pi\) | |||||||
\(380\) | 1.41636 | + | 1.77606i | 0.0726578 | + | 0.0911100i | ||||
\(381\) | 1.60139 | − | 6.26956i | 0.0820419 | − | 0.321199i | ||||
\(382\) | 1.68932 | + | 7.40139i | 0.0864331 | + | 0.378688i | ||||
\(383\) | −20.9283 | + | 14.2687i | −1.06939 | + | 0.729097i | −0.964152 | − | 0.265350i | \(-0.914512\pi\) |
−0.105237 | + | 0.994447i | \(0.533560\pi\) | |||||||
\(384\) | 1.04479 | + | 1.38145i | 0.0533168 | + | 0.0704969i | ||||
\(385\) | −7.77326 | − | 2.03792i | −0.396162 | − | 0.103862i | ||||
\(386\) | −2.94589 | − | 12.9068i | −0.149942 | − | 0.656939i | ||||
\(387\) | −11.4812 | + | 17.7185i | −0.583624 | + | 0.900683i | ||||
\(388\) | −3.56238 | − | 9.07679i | −0.180852 | − | 0.460804i | ||||
\(389\) | −4.14160 | + | 1.27751i | −0.209987 | + | 0.0647725i | −0.397964 | − | 0.917401i | \(-0.630283\pi\) |
0.187977 | + | 0.982173i | \(0.439807\pi\) | |||||||
\(390\) | 0.793718 | − | 3.10745i | 0.0401915 | − | 0.157352i | ||||
\(391\) | −0.663565 | − | 1.14933i | −0.0335579 | − | 0.0581240i | ||||
\(392\) | −6.48812 | + | 2.62760i | −0.327700 | + | 0.132714i | ||||
\(393\) | 8.53475 | + | 23.5034i | 0.430521 | + | 1.18559i | ||||
\(394\) | −16.9684 | + | 8.17153i | −0.854854 | + | 0.411676i | ||||
\(395\) | 2.74528 | + | 2.54725i | 0.138130 | + | 0.128166i | ||||
\(396\) | 0.357019 | + | 15.2251i | 0.0179409 | + | 0.765092i | ||||
\(397\) | −8.70177 | + | 2.68414i | −0.436729 | + | 0.134713i | −0.505320 | − | 0.862932i | \(-0.668626\pi\) |
0.0685914 | + | 0.997645i | \(0.478150\pi\) | |||||||
\(398\) | −13.9593 | − | 4.30587i | −0.699716 | − | 0.215834i | ||||
\(399\) | 11.0794 | + | 13.4154i | 0.554665 | + | 0.671609i | ||||
\(400\) | −4.43579 | + | 1.36826i | −0.221789 | + | 0.0684130i | ||||
\(401\) | 10.1458 | − | 6.91726i | 0.506655 | − | 0.345431i | −0.282862 | − | 0.959161i | \(-0.591284\pi\) |
0.789517 | + | 0.613729i | \(0.210331\pi\) | |||||||
\(402\) | −22.8521 | − | 11.7371i | −1.13976 | − | 0.585391i | ||||
\(403\) | −12.7205 | − | 8.67270i | −0.633654 | − | 0.432018i | ||||
\(404\) | 1.40174 | − | 3.57158i | 0.0697393 | − | 0.177693i | ||||
\(405\) | −1.44299 | − | 5.18789i | −0.0717029 | − | 0.257788i | ||||
\(406\) | 1.67330 | + | 14.1632i | 0.0830445 | + | 0.702906i | ||||
\(407\) | 0.150768 | − | 0.102792i | 0.00747331 | − | 0.00509522i | ||||
\(408\) | 1.40998 | − | 0.909173i | 0.0698042 | − | 0.0450108i | ||||
\(409\) | −0.407071 | − | 0.510451i | −0.0201284 | − | 0.0252402i | 0.771665 | − | 0.636029i | \(-0.219424\pi\) |
−0.791794 | + | 0.610788i | \(0.790853\pi\) | |||||||
\(410\) | −3.79910 | −0.187624 | ||||||||
\(411\) | −8.21448 | − | 1.45474i | −0.405191 | − | 0.0717570i | ||||
\(412\) | 16.9386 | − | 2.55308i | 0.834504 | − | 0.125781i | ||||
\(413\) | 12.9798 | + | 3.40293i | 0.638696 | + | 0.167447i | ||||
\(414\) | −3.51056 | + | 2.13809i | −0.172535 | + | 0.105081i | ||||
\(415\) | 0.755325 | + | 0.113847i | 0.0370774 | + | 0.00558852i | ||||
\(416\) | −0.231278 | − | 3.08619i | −0.0113393 | − | 0.151313i | ||||
\(417\) | 0.935359 | + | 0.673533i | 0.0458047 | + | 0.0329831i | ||||
\(418\) | 7.04163 | + | 17.9418i | 0.344418 | + | 0.877561i | ||||
\(419\) | 38.7996 | + | 5.84811i | 1.89549 | + | 0.285699i | 0.990260 | − | 0.139230i | \(-0.0444628\pi\) |
0.905227 | + | 0.424929i | \(0.139701\pi\) | |||||||
\(420\) | 2.60579 | − | 0.852905i | 0.127149 | − | 0.0416175i | ||||
\(421\) | −28.1291 | + | 4.23979i | −1.37093 | + | 0.206635i | −0.792886 | − | 0.609370i | \(-0.791422\pi\) |
−0.578045 | + | 0.816005i | \(0.696184\pi\) | |||||||
\(422\) | −6.94143 | − | 12.0229i | −0.337904 | − | 0.585266i | ||||
\(423\) | 1.37850 | + | 7.88650i | 0.0670251 | + | 0.383455i | ||||
\(424\) | 5.19480 | − | 0.782991i | 0.252282 | − | 0.0380254i | ||||
\(425\) | 1.00052 | + | 4.38359i | 0.0485326 | + | 0.212635i | ||||
\(426\) | 18.6094 | − | 8.38024i | 0.901630 | − | 0.406024i | ||||
\(427\) | 20.3811 | − | 3.97041i | 0.986309 | − | 0.192142i | ||||
\(428\) | 14.0563 | + | 9.58342i | 0.679436 | + | 0.463232i | ||||
\(429\) | 14.2065 | − | 23.2091i | 0.685897 | − | 1.12055i | ||||
\(430\) | 3.47910 | + | 2.37201i | 0.167777 | + | 0.114388i | ||||
\(431\) | −2.27425 | − | 0.701512i | −0.109547 | − | 0.0337906i | 0.239497 | − | 0.970897i | \(-0.423017\pi\) |
−0.349044 | + | 0.937106i | \(0.613494\pi\) | |||||||
\(432\) | −2.91751 | − | 4.29979i | −0.140369 | − | 0.206874i | ||||
\(433\) | −5.07006 | + | 22.2134i | −0.243652 | + | 1.06751i | 0.694012 | + | 0.719963i | \(0.255841\pi\) |
−0.937664 | + | 0.347544i | \(0.887016\pi\) | |||||||
\(434\) | 0.421105 | − | 13.1549i | 0.0202137 | − | 0.631454i | ||||
\(435\) | −0.274294 | − | 5.57940i | −0.0131514 | − | 0.267512i | ||||
\(436\) | −14.8029 | − | 13.7351i | −0.708930 | − | 0.657791i | ||||
\(437\) | −3.24346 | + | 4.06717i | −0.155156 | + | 0.194559i | ||||
\(438\) | 12.2075 | − | 1.52058i | 0.583299 | − | 0.0726560i | ||||
\(439\) | 14.9048 | − | 7.17776i | 0.711366 | − | 0.342576i | −0.0429591 | − | 0.999077i | \(-0.513679\pi\) |
0.754325 | + | 0.656501i | \(0.227964\pi\) | |||||||
\(440\) | 3.03731 | 0.144798 | ||||||||
\(441\) | 19.8433 | − | 6.87327i | 0.944921 | − | 0.327299i | ||||
\(442\) | −2.99770 | −0.142586 | ||||||||
\(443\) | 36.1129 | − | 17.3911i | 1.71578 | − | 0.826274i | 0.725325 | − | 0.688407i | \(-0.241689\pi\) |
0.990451 | − | 0.137867i | \(-0.0440248\pi\) | |||||||
\(444\) | −0.0242264 | + | 0.0573526i | −0.00114974 | + | 0.00272184i | ||||
\(445\) | −0.667694 | + | 0.837262i | −0.0316518 | + | 0.0396900i | ||||
\(446\) | −12.4015 | − | 11.5070i | −0.587230 | − | 0.544870i | ||||
\(447\) | 17.3053 | − | 11.1587i | 0.818512 | − | 0.527788i | ||||
\(448\) | 2.12025 | − | 1.58257i | 0.100172 | − | 0.0747695i | ||||
\(449\) | −4.33294 | + | 18.9839i | −0.204484 | + | 0.895903i | 0.763682 | + | 0.645593i | \(0.223390\pi\) |
−0.968166 | + | 0.250310i | \(0.919467\pi\) | |||||||
\(450\) | 13.5005 | − | 3.41627i | 0.636421 | − | 0.161044i | ||||
\(451\) | −30.8017 | − | 9.50106i | −1.45039 | − | 0.447387i | ||||
\(452\) | 1.11678 | + | 0.761410i | 0.0525291 | + | 0.0358137i | ||||
\(453\) | 13.9038 | + | 25.5769i | 0.653256 | + | 1.20171i | ||||
\(454\) | −9.67222 | − | 6.59441i | −0.453940 | − | 0.309491i | ||||
\(455\) | −4.73895 | − | 1.24241i | −0.222166 | − | 0.0582452i | ||||
\(456\) | −5.33662 | − | 3.84280i | −0.249910 | − | 0.179955i | ||||
\(457\) | −0.444169 | − | 1.94603i | −0.0207773 | − | 0.0910315i | 0.963476 | − | 0.267794i | \(-0.0862947\pi\) |
−0.984254 | + | 0.176763i | \(0.943438\pi\) | |||||||
\(458\) | −11.2900 | + | 1.70169i | −0.527547 | + | 0.0795149i | ||||
\(459\) | −4.36436 | + | 2.50679i | −0.203711 | + | 0.117007i | ||||
\(460\) | 0.409886 | + | 0.709943i | 0.0191110 | + | 0.0331013i | ||||
\(461\) | −1.78956 | + | 0.269732i | −0.0833479 | + | 0.0125627i | −0.190584 | − | 0.981671i | \(-0.561038\pi\) |
0.107236 | + | 0.994234i | \(0.465800\pi\) | |||||||
\(462\) | 23.2598 | − | 0.398294i | 1.08214 | − | 0.0185303i | ||||
\(463\) | −36.5855 | − | 5.51437i | −1.70027 | − | 0.256275i | −0.774014 | − | 0.633169i | \(-0.781754\pi\) |
−0.926256 | + | 0.376894i | \(0.876992\pi\) | |||||||
\(464\) | −1.96934 | − | 5.01779i | −0.0914242 | − | 0.232945i | ||||
\(465\) | −0.517115 | + | 5.12926i | −0.0239806 | + | 0.237864i | ||||
\(466\) | −1.51712 | − | 20.2446i | −0.0702794 | − | 0.937813i | ||||
\(467\) | −20.0500 | − | 3.02205i | −0.927804 | − | 0.139844i | −0.332280 | − | 0.943181i | \(-0.607818\pi\) |
−0.595525 | + | 0.803337i | \(0.703056\pi\) | |||||||
\(468\) | 0.217656 | + | 9.28198i | 0.0100611 | + | 0.429060i | ||||
\(469\) | −18.1490 | + | 34.7931i | −0.838044 | + | 1.60659i | ||||
\(470\) | 1.57888 | − | 0.237978i | 0.0728283 | − | 0.0109771i | ||||
\(471\) | −23.8814 | + | 28.4178i | −1.10040 | + | 1.30942i | ||||
\(472\) | −5.07172 | −0.233445 | ||||||||
\(473\) | 22.2751 | + | 27.9321i | 1.02421 | + | 1.28432i | ||||
\(474\) | −9.64372 | − | 4.95311i | −0.442951 | − | 0.227504i | ||||
\(475\) | 14.5622 | − | 9.92836i | 0.668161 | − | 0.455544i | ||||
\(476\) | −1.37514 | − | 2.16251i | −0.0630294 | − | 0.0991186i | ||||
\(477\) | −15.6844 | + | 1.54589i | −0.718141 | + | 0.0707815i | ||||
\(478\) | 3.18083 | − | 8.10462i | 0.145488 | − | 0.370697i | ||||
\(479\) | 9.34442 | + | 6.37092i | 0.426958 | + | 0.291095i | 0.757671 | − | 0.652636i | \(-0.226337\pi\) |
−0.330714 | + | 0.943731i | \(0.607289\pi\) | |||||||
\(480\) | −0.870946 | + | 0.561599i | −0.0397531 | + | 0.0256334i | ||||
\(481\) | 0.0919156 | − | 0.0626670i | 0.00419099 | − | 0.00285737i | ||||
\(482\) | 7.98444 | − | 2.46287i | 0.363681 | − | 0.112181i | ||||
\(483\) | 3.23201 | + | 5.38301i | 0.147062 | + | 0.244935i | ||||
\(484\) | 14.1141 | + | 4.35362i | 0.641549 | + | 0.197892i | ||||
\(485\) | 5.57487 | − | 1.71962i | 0.253142 | − | 0.0780839i | ||||
\(486\) | 8.07882 | + | 13.3316i | 0.366463 | + | 0.604735i | ||||
\(487\) | −2.58796 | − | 2.40127i | −0.117271 | − | 0.108812i | 0.619358 | − | 0.785109i | \(-0.287393\pi\) |
−0.736629 | + | 0.676297i | \(0.763584\pi\) | |||||||
\(488\) | −7.07092 | + | 3.40518i | −0.320085 | + | 0.154145i | ||||
\(489\) | 7.79630 | + | 1.38068i | 0.352561 | + | 0.0624365i | ||||
\(490\) | −1.27764 | − | 3.98857i | −0.0577179 | − | 0.180185i | ||||
\(491\) | −10.3043 | − | 17.8476i | −0.465026 | − | 0.805449i | 0.534177 | − | 0.845373i | \(-0.320622\pi\) |
−0.999203 | + | 0.0399240i | \(0.987288\pi\) | |||||||
\(492\) | 10.5891 | − | 2.97081i | 0.477394 | − | 0.133935i | ||||
\(493\) | −4.98925 | + | 1.53898i | −0.224705 | + | 0.0693122i | ||||
\(494\) | 4.29292 | + | 10.9382i | 0.193147 | + | 0.492132i | ||||
\(495\) | −9.09991 | − | 0.467736i | −0.409011 | − | 0.0210232i | ||||
\(496\) | 1.10696 | + | 4.84990i | 0.0497039 | + | 0.217767i | ||||
\(497\) | −12.6210 | − | 28.5068i | −0.566131 | − | 1.27870i | ||||
\(498\) | −2.19432 | + | 0.273325i | −0.0983297 | + | 0.0122480i | ||||
\(499\) | −18.2656 | + | 12.4533i | −0.817682 | + | 0.557486i | −0.898363 | − | 0.439254i | \(-0.855243\pi\) |
0.0806812 | + | 0.996740i | \(0.474290\pi\) | |||||||
\(500\) | −1.28371 | − | 5.62432i | −0.0574094 | − | 0.251527i | ||||
\(501\) | 6.62539 | − | 1.85878i | 0.296001 | − | 0.0830440i | ||||
\(502\) | −13.7307 | − | 17.2177i | −0.612830 | − | 0.768464i | ||||
\(503\) | −25.4475 | + | 12.2549i | −1.13465 | + | 0.546419i | −0.904388 | − | 0.426710i | \(-0.859672\pi\) |
−0.230262 | + | 0.973129i | \(0.573958\pi\) | |||||||
\(504\) | −6.59608 | + | 4.41494i | −0.293813 | + | 0.196657i | ||||
\(505\) | 2.06828 | + | 0.996030i | 0.0920372 | + | 0.0443228i | ||||
\(506\) | 1.54773 | + | 6.78103i | 0.0688048 | + | 0.301453i | ||||
\(507\) | −3.09430 | + | 5.05514i | −0.137423 | + | 0.224507i | ||||
\(508\) | 3.73594 | 0.165756 | ||||||||
\(509\) | 14.4447 | − | 25.0189i | 0.640248 | − | 1.10894i | −0.345129 | − | 0.938555i | \(-0.612165\pi\) |
0.985377 | − | 0.170387i | \(-0.0545018\pi\) | |||||||
\(510\) | 0.479407 | + | 0.881901i | 0.0212285 | + | 0.0390512i | ||||
\(511\) | −2.20477 | − | 18.6616i | −0.0975332 | − | 0.825542i | ||||
\(512\) | −0.623490 | + | 0.781831i | −0.0275546 | + | 0.0345524i | ||||
\(513\) | 15.3970 | + | 12.3350i | 0.679793 | + | 0.544604i | ||||
\(514\) | −17.4187 | + | 11.8759i | −0.768306 | + | 0.523822i | ||||
\(515\) | 0.765914 | + | 10.2204i | 0.0337502 | + | 0.450365i | ||||
\(516\) | −11.5520 | − | 3.89085i | −0.508550 | − | 0.171285i | ||||
\(517\) | 13.3961 | + | 2.01914i | 0.589161 | + | 0.0888018i | ||||
\(518\) | 0.0873719 | + | 0.0375597i | 0.00383890 | + | 0.00165028i | ||||
\(519\) | 25.8101 | + | 0.662884i | 1.13294 | + | 0.0290974i | ||||
\(520\) | 1.85169 | 0.0812019 | ||||||||
\(521\) | 16.4383 | − | 28.4720i | 0.720176 | − | 1.24738i | −0.240753 | − | 0.970586i | \(-0.577394\pi\) |
0.960929 | − | 0.276795i | \(-0.0892722\pi\) | |||||||
\(522\) | 5.12750 | + | 15.3368i | 0.224424 | + | 0.671273i | ||||
\(523\) | 0.875799 | − | 0.812623i | 0.0382960 | − | 0.0355335i | −0.660793 | − | 0.750569i | \(-0.729780\pi\) |
0.699089 | + | 0.715035i | \(0.253589\pi\) | |||||||
\(524\) | −11.9281 | + | 8.13247i | −0.521083 | + | 0.355269i | ||||
\(525\) | −5.08794 | − | 20.6550i | −0.222056 | − | 0.901457i | ||||
\(526\) | 13.0176 | + | 8.87527i | 0.567596 | + | 0.386980i | ||||
\(527\) | 4.76466 | − | 0.718157i | 0.207552 | − | 0.0312834i | ||||
\(528\) | −8.46580 | + | 2.37511i | −0.368426 | + | 0.103363i | ||||
\(529\) | 15.4841 | − | 14.3671i | 0.673220 | − | 0.624657i | ||||
\(530\) | 0.234894 | + | 3.13444i | 0.0102031 | + | 0.136152i | ||||
\(531\) | 15.1951 | + | 0.781028i | 0.659411 | + | 0.0338937i | ||||
\(532\) | −5.92139 | + | 8.11454i | −0.256725 | + | 0.351810i | ||||
\(533\) | −18.7782 | − | 5.79230i | −0.813373 | − | 0.250892i | ||||
\(534\) | 1.20632 | − | 2.85580i | 0.0522027 | − | 0.123582i | ||||
\(535\) | −6.34635 | + | 7.95807i | −0.274377 | + | 0.344057i | ||||
\(536\) | 3.30046 | − | 14.4603i | 0.142558 | − | 0.624588i | ||||
\(537\) | 13.5554 | + | 13.2413i | 0.584958 | + | 0.571402i | ||||
\(538\) | −11.2048 | + | 19.4072i | −0.483071 | + | 0.836704i | ||||
\(539\) | −0.383740 | − | 35.5330i | −0.0165289 | − | 1.53052i | ||||
\(540\) | 2.69588 | − | 1.54845i | 0.116012 | − | 0.0666348i | ||||
\(541\) | 1.34465 | + | 0.916767i | 0.0578110 | + | 0.0394149i | 0.591881 | − | 0.806026i | \(-0.298386\pi\) |
−0.534070 | + | 0.845440i | \(0.679338\pi\) | |||||||
\(542\) | 27.9984 | − | 8.63637i | 1.20264 | − | 0.370964i | ||||
\(543\) | −0.914341 | − | 4.54038i | −0.0392381 | − | 0.194846i | ||||
\(544\) | 0.710043 | + | 0.658824i | 0.0304428 | + | 0.0282468i | ||||
\(545\) | 8.85679 | − | 8.21790i | 0.379383 | − | 0.352016i | ||||
\(546\) | 14.1803 | − | 0.242819i | 0.606860 | − | 0.0103917i | ||||
\(547\) | −25.8814 | − | 24.0144i | −1.10661 | − | 1.02678i | −0.999470 | − | 0.0325387i | \(-0.989641\pi\) |
−0.107138 | − | 0.994244i | \(-0.534169\pi\) | |||||||
\(548\) | −0.359932 | − | 4.80296i | −0.0153755 | − | 0.205172i | ||||
\(549\) | 21.7092 | − | 9.11316i | 0.926525 | − | 0.388940i | ||||
\(550\) | 1.76101 | − | 23.4991i | 0.0750898 | − | 1.00200i | ||||
\(551\) | 12.7605 | + | 16.0011i | 0.543614 | + | 0.681670i | ||||
\(552\) | −1.69762 | − | 1.65828i | −0.0722556 | − | 0.0705811i | ||||
\(553\) | −7.65900 | + | 14.6829i | −0.325694 | + | 0.624380i | ||||
\(554\) | −0.668051 | − | 8.91452i | −0.0283828 | − | 0.378742i | ||||
\(555\) | −0.0331357 | − | 0.0170189i | −0.00140653 | − | 0.000722410i | ||||
\(556\) | −0.243123 | + | 0.619467i | −0.0103107 | + | 0.0262712i | ||||
\(557\) | −13.7619 | + | 23.8363i | −0.583110 | + | 1.00998i | 0.411999 | + | 0.911184i | \(0.364831\pi\) |
−0.995108 | + | 0.0987909i | \(0.968503\pi\) | |||||||
\(558\) | −2.56963 | − | 14.7010i | −0.108781 | − | 0.622342i | ||||
\(559\) | 13.5800 | + | 17.0288i | 0.574372 | + | 0.720240i | ||||
\(560\) | 0.849427 | + | 1.33579i | 0.0358948 | + | 0.0564474i | ||||
\(561\) | 1.68133 | + | 8.34907i | 0.0709860 | + | 0.352498i | ||||
\(562\) | −8.19925 | − | 20.8913i | −0.345864 | − | 0.881248i | ||||
\(563\) | 34.8499 | + | 16.7828i | 1.46875 | + | 0.707312i | 0.985736 | − | 0.168301i | \(-0.0538280\pi\) |
0.483013 | + | 0.875613i | \(0.339542\pi\) | |||||||
\(564\) | −4.21467 | + | 1.89796i | −0.177470 | + | 0.0799185i | ||||
\(565\) | −0.504223 | + | 0.632275i | −0.0212128 | + | 0.0266000i | ||||
\(566\) | 9.65377 | − | 12.1054i | 0.405778 | − | 0.508830i | ||||
\(567\) | 20.4420 | − | 12.2116i | 0.858485 | − | 0.512839i | ||||
\(568\) | 7.34678 | + | 9.21257i | 0.308264 | + | 0.386551i | ||||
\(569\) | 4.75810 | 0.199470 | 0.0997349 | − | 0.995014i | \(-0.468201\pi\) | ||||
0.0997349 | + | 0.995014i | \(0.468201\pi\) | |||||||
\(570\) | 2.53138 | − | 3.01223i | 0.106028 | − | 0.126168i | ||||
\(571\) | 20.2243 | + | 25.3605i | 0.846361 | + | 1.06130i | 0.997349 | + | 0.0727671i | \(0.0231830\pi\) |
−0.150988 | + | 0.988536i | \(0.548246\pi\) | |||||||
\(572\) | 15.0128 | + | 4.63084i | 0.627717 | + | 0.193625i | ||||
\(573\) | 11.9897 | − | 5.39920i | 0.500875 | − | 0.225555i | ||||
\(574\) | −4.43562 | − | 16.2035i | −0.185139 | − | 0.676321i | ||||
\(575\) | 5.73034 | − | 2.75959i | 0.238972 | − | 0.115083i | ||||
\(576\) | 1.98840 | − | 2.24639i | 0.0828501 | − | 0.0935994i | ||||
\(577\) | 3.21202 | − | 42.8614i | 0.133718 | − | 1.78435i | −0.378611 | − | 0.925556i | \(-0.623598\pi\) |
0.512329 | − | 0.858789i | \(-0.328783\pi\) | |||||||
\(578\) | −11.7741 | + | 10.9248i | −0.489739 | + | 0.454411i | ||||
\(579\) | −20.9080 | + | 9.41532i | −0.868906 | + | 0.391287i | ||||
\(580\) | 3.08187 | − | 0.950632i | 0.127968 | − | 0.0394728i | ||||
\(581\) | 0.396309 | + | 3.35445i | 0.0164417 | + | 0.139166i | ||||
\(582\) | −14.1940 | + | 9.15247i | −0.588358 | + | 0.379382i | ||||
\(583\) | −5.93441 | + | 26.0003i | −0.245778 | + | 1.07682i | ||||
\(584\) | 2.59483 | + | 6.61152i | 0.107375 | + | 0.273587i | ||||
\(585\) | −5.54774 | − | 0.285154i | −0.229371 | − | 0.0117897i | ||||
\(586\) | 18.8431 | + | 12.8470i | 0.778400 | + | 0.530704i | ||||
\(587\) | 7.56606 | − | 13.1048i | 0.312285 | − | 0.540893i | −0.666572 | − | 0.745441i | \(-0.732239\pi\) |
0.978857 | + | 0.204548i | \(0.0655724\pi\) | |||||||
\(588\) | 6.68010 | + | 10.1181i | 0.275483 | + | 0.417264i | ||||
\(589\) | −9.44378 | − | 16.3571i | −0.389124 | − | 0.673983i | ||||
\(590\) | 0.226767 | − | 3.02600i | 0.00933585 | − | 0.124578i | ||||
\(591\) | 19.6771 | + | 26.0175i | 0.809406 | + | 1.07022i | ||||
\(592\) | −0.0355441 | − | 0.00535741i | −0.00146085 | − | 0.000220188i | ||||
\(593\) | 22.4975 | − | 6.93956i | 0.923861 | − | 0.284974i | 0.203903 | − | 0.978991i | \(-0.434637\pi\) |
0.719958 | + | 0.694018i | \(0.244161\pi\) | |||||||
\(594\) | 25.7297 | − | 5.81223i | 1.05570 | − | 0.238479i | ||||
\(595\) | 1.35173 | − | 0.723774i | 0.0554155 | − | 0.0296719i | ||||
\(596\) | 8.71469 | + | 8.08605i | 0.356967 | + | 0.331217i | ||||
\(597\) | −2.53803 | + | 25.1747i | −0.103875 | + | 1.03033i | ||||
\(598\) | 0.943568 | + | 4.13404i | 0.0385854 | + | 0.169053i | ||||
\(599\) | 1.64868 | − | 0.793961i | 0.0673631 | − | 0.0324404i | −0.399899 | − | 0.916559i | \(-0.630955\pi\) |
0.467262 | + | 0.884119i | \(0.345240\pi\) | |||||||
\(600\) | 3.84001 | + | 7.06395i | 0.156768 | + | 0.288385i | ||||
\(601\) | 0.403591 | − | 5.38555i | 0.0164628 | − | 0.219681i | −0.982905 | − | 0.184116i | \(-0.941058\pi\) |
0.999367 | − | 0.0355653i | \(-0.0113232\pi\) | |||||||
\(602\) | −6.05482 | + | 17.6081i | −0.246776 | + | 0.717652i | ||||
\(603\) | −12.1152 | + | 42.8153i | −0.493367 | + | 1.74357i | ||||
\(604\) | −12.3209 | + | 11.4321i | −0.501330 | + | 0.465166i | ||||
\(605\) | −3.22862 | + | 8.22638i | −0.131262 | + | 0.334450i | ||||
\(606\) | −6.54372 | − | 1.15886i | −0.265820 | − | 0.0470753i | ||||
\(607\) | 0.814619 | − | 1.41096i | 0.0330644 | − | 0.0572691i | −0.849020 | − | 0.528361i | \(-0.822807\pi\) |
0.882084 | + | 0.471092i | \(0.156140\pi\) | |||||||
\(608\) | 1.38712 | − | 3.53432i | 0.0562551 | − | 0.143336i | ||||
\(609\) | 23.4764 | − | 7.68410i | 0.951311 | − | 0.311375i | ||||
\(610\) | −1.71551 | − | 4.37105i | −0.0694591 | − | 0.176979i | ||||
\(611\) | 8.16692 | + | 1.23097i | 0.330398 | + | 0.0497995i | ||||
\(612\) | −2.02586 | − | 2.08321i | −0.0818907 | − | 0.0842088i | ||||
\(613\) | −0.0998055 | + | 0.0680462i | −0.00403111 | + | 0.00274836i | −0.565334 | − | 0.824862i | \(-0.691253\pi\) |
0.561303 | + | 0.827610i | \(0.310300\pi\) | |||||||
\(614\) | −5.60371 | + | 7.02683i | −0.226147 | + | 0.283580i | ||||
\(615\) | 1.29905 | + | 6.45073i | 0.0523827 | + | 0.260119i | ||||
\(616\) | 3.54620 | + | 12.9544i | 0.142880 | + | 0.521948i | ||||
\(617\) | 10.0897 | − | 25.7081i | 0.406195 | − | 1.03497i | −0.570683 | − | 0.821171i | \(-0.693321\pi\) |
0.976878 | − | 0.213798i | \(-0.0685835\pi\) | |||||||
\(618\) | −10.1269 | − | 27.8881i | −0.407366 | − | 1.12182i | ||||
\(619\) | −18.0569 | − | 31.2755i | −0.725769 | − | 1.25707i | −0.958657 | − | 0.284566i | \(-0.908151\pi\) |
0.232887 | − | 0.972504i | \(-0.425183\pi\) | |||||||
\(620\) | −2.94315 | + | 0.443608i | −0.118200 | + | 0.0178157i | ||||
\(621\) | 4.83078 | + | 5.22971i | 0.193853 | + | 0.209861i | ||||
\(622\) | −6.53072 | − | 3.14503i | −0.261858 | − | 0.126104i | ||||
\(623\) | −4.35056 | − | 1.87023i | −0.174302 | − | 0.0749294i | ||||
\(624\) | −5.16115 | + | 1.44798i | −0.206612 | + | 0.0579656i | ||||
\(625\) | −19.5378 | + | 2.94484i | −0.781511 | + | 0.117794i | ||||
\(626\) | 16.6449 | − | 8.01574i | 0.665262 | − | 0.320373i | ||||
\(627\) | 28.0567 | − | 18.0914i | 1.12048 | − | 0.722500i | ||||
\(628\) | −19.3089 | − | 9.29867i | −0.770508 | − | 0.371057i | ||||
\(629\) | −0.00774758 | + | 0.0339444i | −0.000308916 | + | 0.00135345i | ||||
\(630\) | −2.33921 | − | 4.13289i | −0.0931965 | − | 0.164658i | ||||
\(631\) | 8.86777 | + | 38.8523i | 0.353020 | + | 1.54668i | 0.770166 | + | 0.637844i | \(0.220174\pi\) |
−0.417145 | + | 0.908840i | \(0.636969\pi\) | |||||||
\(632\) | 1.39281 | − | 6.10232i | 0.0554032 | − | 0.242737i | ||||
\(633\) | −18.0409 | + | 15.8974i | −0.717063 | + | 0.631864i | ||||
\(634\) | 6.11519 | − | 26.7924i | 0.242865 | − | 1.06406i | ||||
\(635\) | −0.167042 | + | 2.22902i | −0.00662885 | + | 0.0884559i | ||||
\(636\) | −3.10578 | − | 8.55285i | −0.123152 | − | 0.339143i | ||||
\(637\) | −0.233946 | − | 21.6626i | −0.00926930 | − | 0.858305i | ||||
\(638\) | 27.3641 | 1.08335 | ||||||||
\(639\) | −20.5926 | − | 28.7326i | −0.814630 | − | 1.13665i | ||||
\(640\) | −0.438595 | − | 0.406957i | −0.0173370 | − | 0.0160864i | ||||
\(641\) | 5.39327 | + | 0.812905i | 0.213021 | + | 0.0321078i | 0.254686 | − | 0.967024i | \(-0.418028\pi\) |
−0.0416645 | + | 0.999132i | \(0.513266\pi\) | |||||||
\(642\) | 11.4659 | − | 27.1440i | 0.452525 | − | 1.07129i | ||||
\(643\) | −23.5740 | + | 21.8735i | −0.929667 | + | 0.862605i | −0.990774 | − | 0.135526i | \(-0.956727\pi\) |
0.0611067 | + | 0.998131i | \(0.480537\pi\) | |||||||
\(644\) | −2.54941 | + | 2.57709i | −0.100461 | + | 0.101552i | ||||
\(645\) | 2.83796 | − | 6.71845i | 0.111744 | − | 0.264539i | ||||
\(646\) | −3.31341 | − | 1.59565i | −0.130364 | − | 0.0627802i | ||||
\(647\) | 22.8473 | + | 7.04746i | 0.898220 | + | 0.277064i | 0.709282 | − | 0.704925i | \(-0.249019\pi\) |
0.188938 | + | 0.981989i | \(0.439495\pi\) | |||||||
\(648\) | −6.30328 | + | 6.42407i | −0.247616 | + | 0.252361i | ||||
\(649\) | 9.40617 | − | 23.9665i | 0.369225 | − | 0.940769i | ||||
\(650\) | 1.07360 | − | 14.3262i | 0.0421099 | − | 0.561918i | ||||
\(651\) | −22.4805 | + | 3.78310i | −0.881080 | + | 0.148272i | ||||
\(652\) | 0.341609 | + | 4.55845i | 0.0133784 | + | 0.178523i | ||||
\(653\) | 0.0244721 | + | 0.00754865i | 0.000957668 | + | 0.000295402i | 0.295234 | − | 0.955425i | \(-0.404602\pi\) |
−0.294276 | + | 0.955720i | \(0.595079\pi\) | |||||||
\(654\) | −18.2600 | + | 29.8313i | −0.714024 | + | 1.16650i | ||||
\(655\) | −4.31884 | − | 7.48044i | −0.168751 | − | 0.292285i | ||||
\(656\) | 3.17483 | + | 5.49898i | 0.123956 | + | 0.214699i | ||||
\(657\) | −6.75608 | − | 20.2080i | −0.263580 | − | 0.788390i | ||||
\(658\) | 2.85841 | + | 6.45622i | 0.111433 | + | 0.251690i | ||||
\(659\) | −17.8615 | − | 45.5104i | −0.695786 | − | 1.77283i | −0.632131 | − | 0.774862i | \(-0.717819\pi\) |
−0.0636551 | − | 0.997972i | \(-0.520276\pi\) | |||||||
\(660\) | −1.03856 | − | 5.15724i | −0.0404261 | − | 0.200745i | ||||
\(661\) | 9.80196 | + | 4.72038i | 0.381252 | + | 0.183601i | 0.614687 | − | 0.788771i | \(-0.289282\pi\) |
−0.233435 | + | 0.972372i | \(0.574997\pi\) | |||||||
\(662\) | 7.98875 | + | 3.84718i | 0.310492 | + | 0.149525i | ||||
\(663\) | 1.02502 | + | 5.08999i | 0.0398086 | + | 0.197679i | ||||
\(664\) | −0.466424 | − | 1.18843i | −0.0181008 | − | 0.0461200i | ||||
\(665\) | −4.57671 | − | 3.89577i | −0.177477 | − | 0.151071i | ||||
\(666\) | 0.105667 | + | 0.0215247i | 0.00409450 | + | 0.000834065i | ||||
\(667\) | 3.69279 | + | 6.39611i | 0.142986 | + | 0.247658i | ||||
\(668\) | 1.98643 | + | 3.44060i | 0.0768573 | + | 0.133121i | ||||
\(669\) | −15.2979 | + | 24.9920i | −0.591449 | + | 0.966247i | ||||
\(670\) | 8.48002 | + | 2.61574i | 0.327612 | + | 0.101055i | ||||
\(671\) | −2.97729 | − | 39.7292i | −0.114937 | − | 1.53373i | ||||
\(672\) | −3.41214 | − | 3.05897i | −0.131626 | − | 0.118002i | ||||
\(673\) | 0.419097 | − | 5.59246i | 0.0161550 | − | 0.215574i | −0.983284 | − | 0.182079i | \(-0.941717\pi\) |
0.999439 | − | 0.0334945i | \(-0.0106636\pi\) | |||||||
\(674\) | 10.5960 | − | 26.9982i | 0.408143 | − | 1.03993i | ||||
\(675\) | −10.4170 | − | 21.7553i | −0.400951 | − | 0.837360i | ||||
\(676\) | −3.26992 | − | 1.00864i | −0.125766 | − | 0.0387937i | ||||
\(677\) | 35.1033 | + | 16.9048i | 1.34913 | + | 0.649706i | 0.962185 | − | 0.272397i | \(-0.0878165\pi\) |
0.386944 | + | 0.922103i | \(0.373531\pi\) | |||||||
\(678\) | 0.910979 | − | 2.15661i | 0.0349859 | − | 0.0828242i | ||||
\(679\) | 13.8433 | + | 21.7696i | 0.531255 | + | 0.835440i | ||||
\(680\) | −0.424829 | + | 0.394184i | −0.0162914 | + | 0.0151163i | ||||
\(681\) | −7.88979 | + | 18.6779i | −0.302337 | + | 0.715740i | ||||
\(682\) | −24.9713 | − | 3.76382i | −0.956202 | − | 0.144124i | ||||
\(683\) | −10.7538 | − | 9.97811i | −0.411485 | − | 0.381802i | 0.447091 | − | 0.894488i | \(-0.352460\pi\) |
−0.858576 | + | 0.512686i | \(0.828650\pi\) | |||||||
\(684\) | −4.70015 | + | 10.3754i | −0.179715 | + | 0.396712i | ||||
\(685\) | 2.88174 | 0.110106 | ||||||||
\(686\) | 15.5199 | − | 10.1061i | 0.592552 | − | 0.385852i | ||||
\(687\) | 6.74987 | + | 18.5881i | 0.257524 | + | 0.709182i | ||||
\(688\) | 0.525929 | − | 7.01803i | 0.0200509 | − | 0.267560i | ||||
\(689\) | −3.61790 | + | 15.8511i | −0.137831 | + | 0.603877i | ||||
\(690\) | 1.06530 | − | 0.938726i | 0.0405554 | − | 0.0357367i | ||||
\(691\) | −3.09507 | + | 13.5604i | −0.117742 | + | 0.515861i | 0.881318 | + | 0.472523i | \(0.156657\pi\) |
−0.999060 | + | 0.0433385i | \(0.986201\pi\) | |||||||
\(692\) | 3.31699 | + | 14.5327i | 0.126093 | + | 0.552449i | ||||
\(693\) | −8.62964 | − | 39.3581i | −0.327813 | − | 1.49509i | ||||
\(694\) | 4.22051 | − | 18.4913i | 0.160209 | − | 0.701919i | ||||
\(695\) | −0.358729 | − | 0.172755i | −0.0136074 | − | 0.00655296i | ||||
\(696\) | −7.84663 | + | 5.05962i | −0.297426 | + | 0.191785i | ||||
\(697\) | 5.54129 | − | 2.66854i | 0.209891 | − | 0.101078i | ||||
\(698\) | 20.1701 | − | 3.04016i | 0.763451 | − | 0.115072i | ||||
\(699\) | −33.8558 | + | 9.49837i | −1.28055 | + | 0.359261i | ||||
\(700\) | 10.8272 | − | 5.79737i | 0.409231 | − | 0.219120i | ||||
\(701\) | 20.1132 | + | 9.68600i | 0.759664 | + | 0.365835i | 0.773274 | − | 0.634072i | \(-0.218618\pi\) |
−0.0136094 | + | 0.999907i | \(0.504332\pi\) | |||||||
\(702\) | 15.6860 | − | 3.54341i | 0.592031 | − | 0.133737i | ||||
\(703\) | 0.134953 | − | 0.0203409i | 0.00508985 | − | 0.000767171i | ||||
\(704\) | −2.53822 | − | 4.39633i | −0.0956628 | − | 0.165693i | ||||
\(705\) | −0.943954 | − | 2.59951i | −0.0355513 | − | 0.0979031i | ||||
\(706\) | −4.54462 | + | 11.5795i | −0.171039 | + | 0.435800i | ||||
\(707\) | −1.83335 | + | 9.98430i | −0.0689501 | + | 0.375498i | ||||
\(708\) | 1.73420 | + | 8.61159i | 0.0651753 | + | 0.323643i | ||||
\(709\) | −4.32141 | + | 5.41887i | −0.162294 | + | 0.203510i | −0.856328 | − | 0.516432i | \(-0.827260\pi\) |
0.694035 | + | 0.719942i | \(0.255831\pi\) | |||||||
\(710\) | −5.82509 | + | 3.97148i | −0.218612 | + | 0.149047i | ||||
\(711\) | −5.11267 | + | 18.0683i | −0.191740 | + | 0.677615i | ||||
\(712\) | 1.76987 | + | 0.266765i | 0.0663286 | + | 0.00999743i | ||||
\(713\) | −2.49013 | − | 6.34475i | −0.0932562 | − | 0.237613i | ||||
\(714\) | −3.20166 | + | 3.07438i | −0.119819 | + | 0.115056i | ||||
\(715\) | −3.43420 | + | 8.75021i | −0.128432 | + | 0.327239i | ||||
\(716\) | −5.47022 | + | 9.47469i | −0.204432 | + | 0.354086i | ||||
\(717\) | −14.8490 | − | 2.62967i | −0.554546 | − | 0.0982070i | ||||
\(718\) | −3.14115 | + | 8.00352i | −0.117227 | + | 0.298689i | ||||
\(719\) | −14.9956 | + | 13.9139i | −0.559242 | + | 0.518900i | −0.908366 | − | 0.418176i | \(-0.862670\pi\) |
0.349124 | + | 0.937076i | \(0.386479\pi\) | |||||||
\(720\) | 1.25138 | + | 1.28680i | 0.0466362 | + | 0.0479564i | ||||
\(721\) | −42.6968 | + | 15.1995i | −1.59011 | + | 0.566059i | ||||
\(722\) | 0.342598 | − | 4.57165i | 0.0127502 | − | 0.170139i | ||||
\(723\) | −6.91203 | − | 12.7151i | −0.257061 | − | 0.472881i | ||||
\(724\) | 2.40920 | − | 1.16021i | 0.0895373 | − | 0.0431189i | ||||
\(725\) | −5.56800 | − | 24.3950i | −0.206790 | − | 0.906008i | ||||
\(726\) | 2.56617 | − | 25.4538i | 0.0952396 | − | 0.944681i | ||||
\(727\) | −10.6803 | − | 9.90988i | −0.396111 | − | 0.367537i | 0.456822 | − | 0.889558i | \(-0.348988\pi\) |
−0.852933 | + | 0.522021i | \(0.825178\pi\) | |||||||
\(728\) | 2.16193 | + | 7.89762i | 0.0801266 | + | 0.292705i | ||||
\(729\) | 19.8742 | − | 18.2761i | 0.736081 | − | 0.676893i | ||||
\(730\) | −4.06073 | + | 1.25257i | −0.150294 | + | 0.0463597i | ||||
\(731\) | −6.74068 | − | 1.01599i | −0.249313 | − | 0.0375779i | ||||
\(732\) | 8.19966 | + | 10.8418i | 0.303068 | + | 0.400725i | ||||
\(733\) | −2.26910 | + | 30.2791i | −0.0838113 | + | 1.11838i | 0.783758 | + | 0.621067i | \(0.213300\pi\) |
−0.867569 | + | 0.497317i | \(0.834319\pi\) | |||||||
\(734\) | −8.70689 | − | 15.0808i | −0.321377 | − | 0.556642i | ||||
\(735\) | −6.33557 | + | 3.53322i | −0.233691 | + | 0.130325i | ||||
\(736\) | 0.685068 | − | 1.18657i | 0.0252519 | − | 0.0437376i | ||||
\(737\) | 62.2112 | + | 42.4149i | 2.29158 | + | 1.56237i | ||||
\(738\) | −8.66512 | − | 16.9641i | −0.318968 | − | 0.624457i | ||||
\(739\) | 2.94402 | + | 7.50123i | 0.108297 | + | 0.275937i | 0.974741 | − | 0.223337i | \(-0.0716951\pi\) |
−0.866444 | + | 0.499275i | \(0.833600\pi\) | |||||||
\(740\) | 0.00478570 | − | 0.0209675i | 0.000175926 | − | 0.000770781i | ||||
\(741\) | 17.1047 | − | 11.0294i | 0.628358 | − | 0.405174i | ||||
\(742\) | −13.0944 | + | 4.66145i | −0.480712 | + | 0.171127i | ||||
\(743\) | −29.5065 | + | 9.10154i | −1.08249 | + | 0.333903i | −0.784159 | − | 0.620560i | \(-0.786905\pi\) |
−0.298329 | + | 0.954463i | \(0.596429\pi\) | |||||||
\(744\) | 7.85644 | − | 3.53793i | 0.288031 | − | 0.129707i | ||||
\(745\) | −5.21412 | + | 4.83800i | −0.191031 | + | 0.177251i | ||||
\(746\) | 0.502343 | − | 6.70331i | 0.0183921 | − | 0.245426i | ||||
\(747\) | 1.21441 | + | 3.63241i | 0.0444330 | + | 0.132903i | ||||
\(748\) | −4.43016 | + | 2.13345i | −0.161983 | + | 0.0780067i | ||||
\(749\) | −41.3515 | − | 17.7763i | −1.51095 | − | 0.649533i | ||||
\(750\) | −9.11094 | + | 4.10286i | −0.332685 | + | 0.149815i | ||||
\(751\) | −7.09132 | − | 2.18738i | −0.258766 | − | 0.0798187i | 0.162658 | − | 0.986683i | \(-0.447993\pi\) |
−0.421424 | + | 0.906864i | \(0.638470\pi\) | |||||||
\(752\) | −1.66390 | − | 2.08646i | −0.0606762 | − | 0.0760855i | ||||
\(753\) | −24.5400 | + | 29.2015i | −0.894289 | + | 1.06416i | ||||
\(754\) | 16.6825 | 0.607540 | ||||||||
\(755\) | −6.26998 | − | 7.86231i | −0.228188 | − | 0.286139i | ||||
\(756\) | 9.75185 | + | 9.69027i | 0.354671 | + | 0.352432i | ||||
\(757\) | −27.8963 | + | 34.9809i | −1.01391 | + | 1.27140i | −0.0518235 | + | 0.998656i | \(0.516503\pi\) |
−0.962086 | + | 0.272746i | \(0.912068\pi\) | |||||||
\(758\) | −19.4325 | + | 24.3676i | −0.705821 | + | 0.885071i | ||||
\(759\) | 10.9847 | − | 4.94666i | 0.398720 | − | 0.179552i | ||||
\(760\) | 2.04670 | + | 0.985640i | 0.0742417 | + | 0.0357529i | ||||
\(761\) | −4.81279 | − | 12.2628i | −0.174464 | − | 0.444526i | 0.816718 | − | 0.577037i | \(-0.195791\pi\) |
−0.991182 | + | 0.132511i | \(0.957696\pi\) | |||||||
\(762\) | −1.27745 | − | 6.34350i | −0.0462772 | − | 0.229801i | ||||
\(763\) | 45.3908 | + | 28.1802i | 1.64326 | + | 1.02019i | ||||
\(764\) | 4.73337 | + | 5.93545i | 0.171247 | + | 0.214737i | ||||
\(765\) | 1.33351 | − | 1.11557i | 0.0482131 | − | 0.0403335i | ||||
\(766\) | −12.6648 | + | 21.9361i | −0.457599 | + | 0.792585i | ||||
\(767\) | 5.73446 | − | 14.6112i | 0.207059 | − | 0.527578i | ||||
\(768\) | 1.54071 | + | 0.791327i | 0.0555958 | + | 0.0285545i | ||||
\(769\) | 3.44440 | + | 45.9623i | 0.124208 | + | 1.65744i | 0.616753 | + | 0.787157i | \(0.288448\pi\) |
−0.492545 | + | 0.870287i | \(0.663933\pi\) | |||||||
\(770\) | −7.88769 | + | 1.53659i | −0.284252 | + | 0.0553749i | ||||
\(771\) | 26.1209 | + | 25.5155i | 0.940720 | + | 0.918919i | ||||
\(772\) | −8.25421 | − | 10.3505i | −0.297075 | − | 0.372521i | ||||
\(773\) | 1.43463 | − | 19.1438i | 0.0516001 | − | 0.688555i | −0.910089 | − | 0.414413i | \(-0.863987\pi\) |
0.961689 | − | 0.274142i | \(-0.0883940\pi\) | |||||||
\(774\) | −2.65646 | + | 20.9454i | −0.0954845 | + | 0.752865i | ||||
\(775\) | 1.72569 | + | 23.0277i | 0.0619886 | + | 0.827181i | ||||
\(776\) | −7.14786 | − | 6.63225i | −0.256593 | − | 0.238084i | ||||
\(777\) | 0.0338994 | − | 0.161197i | 0.00121614 | − | 0.00578292i | ||||
\(778\) | −3.17716 | + | 2.94797i | −0.113907 | + | 0.105690i | ||||
\(779\) | −17.6726 | − | 16.3978i | −0.633188 | − | 0.587512i | ||||
\(780\) | −0.633159 | − | 3.14410i | −0.0226707 | − | 0.112577i | ||||
\(781\) | −57.1598 | + | 17.6315i | −2.04534 | + | 0.630904i | ||||
\(782\) | −1.09653 | − | 0.747599i | −0.0392117 | − | 0.0267341i | ||||
\(783\) | 24.2880 | − | 13.9505i | 0.867984 | − | 0.498550i | ||||
\(784\) | −4.70552 | + | 5.18248i | −0.168054 | + | 0.185089i | ||||
\(785\) | 6.41131 | − | 11.1047i | 0.228829 | − | 0.396344i | ||||
\(786\) | 17.8873 | + | 17.4728i | 0.638019 | + | 0.623233i | ||||
\(787\) | 0.645274 | − | 2.82713i | 0.0230015 | − | 0.100776i | −0.962124 | − | 0.272612i | \(-0.912113\pi\) |
0.985126 | + | 0.171835i | \(0.0549697\pi\) | |||||||
\(788\) | −11.7425 | + | 14.7246i | −0.418308 | + | 0.524542i | ||||
\(789\) | 10.6187 | − | 25.1382i | 0.378035 | − | 0.894945i | ||||
\(790\) | 3.57862 | + | 1.10386i | 0.127322 | + | 0.0392735i | ||||
\(791\) | −3.28541 | − | 1.41234i | −0.116816 | − | 0.0502172i | ||||
\(792\) | 6.92761 | + | 13.5625i | 0.246162 | + | 0.481922i | ||||
\(793\) | −1.81510 | − | 24.2208i | −0.0644560 | − | 0.860106i | ||||
\(794\) | −6.67542 | + | 6.19388i | −0.236902 | + | 0.219813i | ||||
\(795\) | 5.24185 | − | 1.47062i | 0.185909 | − | 0.0521575i | ||||
\(796\) | −14.4451 | + | 2.17725i | −0.511994 | + | 0.0771707i | ||||
\(797\) | 32.5398 | + | 22.1853i | 1.15262 | + | 0.785843i | 0.979971 | − | 0.199141i | \(-0.0638150\pi\) |
0.172649 | + | 0.984983i | \(0.444767\pi\) | |||||||
\(798\) | 15.8029 | + | 7.27966i | 0.559418 | + | 0.257697i | ||||
\(799\) | −2.13576 | + | 1.45614i | −0.0755579 | + | 0.0515145i | ||||
\(800\) | −3.40284 | + | 3.15738i | −0.120309 | + | 0.111630i | ||||
\(801\) | −5.26152 | − | 1.07179i | −0.185907 | − | 0.0378700i | ||||
\(802\) | 6.13972 | − | 10.6343i | 0.216801 | − | 0.375511i | ||||
\(803\) | −36.0554 | −1.27237 | ||||||||
\(804\) | −25.6815 | − | 0.659581i | −0.905718 | − | 0.0232616i | ||||
\(805\) | −1.42361 | − | 1.63631i | −0.0501757 | − | 0.0576724i | ||||
\(806\) | −15.2237 | − | 2.29461i | −0.536233 | − | 0.0808241i | ||||
\(807\) | 36.7840 | + | 12.3892i | 1.29486 | + | 0.436122i | ||||
\(808\) | −0.286725 | − | 3.82608i | −0.0100869 | − | 0.134601i | ||||
\(809\) | −31.0927 | + | 21.1987i | −1.09316 | + | 0.745305i | −0.969026 | − | 0.246960i | \(-0.920568\pi\) |
−0.124137 | + | 0.992265i | \(0.539616\pi\) | |||||||
\(810\) | −3.55103 | − | 4.04803i | −0.124771 | − | 0.142233i | ||||
\(811\) | 15.4954 | − | 19.4306i | 0.544117 | − | 0.682302i | −0.431416 | − | 0.902153i | \(-0.641986\pi\) |
0.975533 | + | 0.219852i | \(0.0705573\pi\) | |||||||
\(812\) | 7.65276 | + | 12.0346i | 0.268559 | + | 0.422330i | ||||
\(813\) | −24.2379 | − | 44.5872i | −0.850061 | − | 1.56374i | ||||
\(814\) | 0.0912378 | − | 0.158028i | 0.00319788 | − | 0.00553889i | ||||
\(815\) | −2.73504 | −0.0958041 | ||||||||
\(816\) | 0.875869 | − | 1.43090i | 0.0306616 | − | 0.0500916i | ||||
\(817\) | 5.94590 | + | 26.0507i | 0.208021 | + | 0.911399i | ||||
\(818\) | −0.588235 | − | 0.283279i | −0.0205671 | − | 0.00990461i | ||||
\(819\) | −5.26104 | − | 23.9946i | −0.183836 | − | 0.838438i | ||||
\(820\) | −3.42287 | + | 1.64837i | −0.119532 | + | 0.0575635i | ||||
\(821\) | −15.6253 | − | 19.5935i | −0.545326 | − | 0.683818i | 0.430443 | − | 0.902618i | \(-0.358357\pi\) |
−0.975770 | + | 0.218800i | \(0.929786\pi\) | |||||||
\(822\) | −8.03218 | + | 2.25346i | −0.280155 | + | 0.0785983i | ||||
\(823\) | 5.59464 | + | 24.5117i | 0.195017 | + | 0.854424i | 0.973850 | + | 0.227193i | \(0.0729548\pi\) |
−0.778833 | + | 0.627231i | \(0.784188\pi\) | |||||||
\(824\) | 14.1534 | − | 9.64962i | 0.493057 | − | 0.336161i | ||||
\(825\) | −40.5027 | + | 5.04504i | −1.41012 | + | 0.175646i | ||||
\(826\) | 13.1709 | − | 2.56581i | 0.458275 | − | 0.0892759i | ||||
\(827\) | −8.78983 | − | 38.5108i | −0.305652 | − | 1.33915i | −0.861454 | − | 0.507836i | \(-0.830446\pi\) |
0.555801 | − | 0.831315i | \(-0.312412\pi\) | |||||||
\(828\) | −2.23522 | + | 3.44953i | −0.0776793 | + | 0.119879i | ||||
\(829\) | −4.06347 | − | 10.3535i | −0.141130 | − | 0.359593i | 0.842780 | − | 0.538258i | \(-0.180917\pi\) |
−0.983910 | + | 0.178665i | \(0.942822\pi\) | |||||||
\(830\) | 0.729920 | − | 0.225151i | 0.0253359 | − | 0.00781509i | ||||
\(831\) | −14.9081 | + | 4.18252i | −0.517156 | + | 0.145090i | ||||
\(832\) | −1.54742 | − | 2.68021i | −0.0536472 | − | 0.0929197i | ||||
\(833\) | 4.66517 | + | 4.92021i | 0.161639 | + | 0.170475i | ||||
\(834\) | 1.13496 | + | 0.200996i | 0.0393006 | + | 0.00695991i | ||||
\(835\) | −2.14162 | + | 1.03135i | −0.0741138 | + | 0.0356913i | ||||
\(836\) | 14.1289 | + | 13.1097i | 0.488660 | + | 0.453410i | ||||
\(837\) | −24.0831 | + | 9.38993i | −0.832433 | + | 0.324563i | ||||
\(838\) | 37.4947 | − | 11.5656i | 1.29523 | − | 0.399526i | ||||
\(839\) | −26.5034 | − | 8.17521i | −0.914999 | − | 0.282240i | −0.198722 | − | 0.980056i | \(-0.563679\pi\) |
−0.716277 | + | 0.697816i | \(0.754155\pi\) | |||||||
\(840\) | 1.97767 | − | 1.89905i | 0.0682362 | − | 0.0655235i | ||||
\(841\) | 0.0539763 | − | 0.0166495i | 0.00186125 | − | 0.000574120i | ||||
\(842\) | −23.5039 | + | 16.0247i | −0.809998 | + | 0.552247i | ||||
\(843\) | −32.6691 | + | 21.0655i | −1.12518 | + | 0.725535i | ||||
\(844\) | −11.4706 | − | 7.82050i | −0.394833 | − | 0.269193i | ||||
\(845\) | 0.747999 | − | 1.90587i | 0.0257319 | − | 0.0655639i | ||||
\(846\) | 4.66381 | + | 6.50738i | 0.160345 | + | 0.223728i | ||||
\(847\) | −38.8558 | − | 4.16566i | −1.33510 | − | 0.143134i | ||||
\(848\) | 4.34063 | − | 2.95939i | 0.149058 | − | 0.101626i | ||||
\(849\) | −23.8556 | − | 12.2525i | −0.818721 | − | 0.420503i | ||||
\(850\) | 2.80341 | + | 3.51536i | 0.0961561 | + | 0.120576i | ||||
\(851\) | 0.0492503 | 0.00168828 | ||||||||
\(852\) | 13.1305 | − | 15.6247i | 0.449843 | − | 0.535292i | ||||
\(853\) | −22.9828 | + | 3.46409i | −0.786914 | + | 0.118608i | −0.530193 | − | 0.847877i | \(-0.677880\pi\) |
−0.256722 | + | 0.966485i | \(0.582642\pi\) | |||||||
\(854\) | 16.6400 | − | 12.4202i | 0.569409 | − | 0.425011i | ||||
\(855\) | −5.98023 | − | 3.26821i | −0.204519 | − | 0.111770i | ||||
\(856\) | 16.8224 | + | 2.53556i | 0.574977 | + | 0.0866638i | ||||
\(857\) | 2.45036 | + | 32.6978i | 0.0837026 | + | 1.11693i | 0.868005 | + | 0.496555i | \(0.165402\pi\) |
−0.784302 | + | 0.620379i | \(0.786979\pi\) | |||||||
\(858\) | 2.72958 | − | 27.0747i | 0.0931863 | − | 0.924313i | ||||
\(859\) | −7.92026 | − | 20.1805i | −0.270236 | − | 0.688549i | −0.999988 | − | 0.00483810i | \(-0.998460\pi\) |
0.729753 | − | 0.683711i | \(-0.239635\pi\) | |||||||
\(860\) | 4.16373 | + | 0.627582i | 0.141982 | + | 0.0214004i | ||||
\(861\) | −25.9962 | + | 13.0721i | −0.885950 | + | 0.445495i | ||||
\(862\) | −2.35340 | + | 0.354718i | −0.0801571 | + | 0.0120817i | ||||
\(863\) | −18.3787 | − | 31.8328i | −0.625618 | − | 1.08360i | −0.988421 | − | 0.151736i | \(-0.951514\pi\) |
0.362803 | − | 0.931866i | \(-0.381820\pi\) | |||||||
\(864\) | −4.49419 | − | 2.60812i | −0.152895 | − | 0.0887299i | ||||
\(865\) | −8.81910 | + | 1.32927i | −0.299859 | + | 0.0451964i | ||||
\(866\) | 5.07006 | + | 22.2134i | 0.172288 | + | 0.754842i | ||||
\(867\) | 22.5759 | + | 16.2565i | 0.766717 | + | 0.552098i | ||||
\(868\) | −5.32829 | − | 12.0348i | −0.180854 | − | 0.408489i | ||||
\(869\) | 26.2535 | + | 17.8993i | 0.890590 | + | 0.607194i | ||||
\(870\) | −2.66794 | − | 4.90785i | −0.0904517 | − | 0.166392i | ||||
\(871\) | 37.9269 | + | 25.8581i | 1.28511 | + | 0.876170i | ||||
\(872\) | −19.2964 | − | 5.95214i | −0.653458 | − | 0.201565i | ||||
\(873\) | 20.3940 | + | 20.9713i | 0.690232 | + | 0.709770i | ||||
\(874\) | −1.15758 | + | 5.07168i | −0.0391556 | + | 0.171552i | ||||
\(875\) | 6.17909 | + | 13.9565i | 0.208891 | + | 0.471817i | ||||
\(876\) | 10.3389 | − | 6.66665i | 0.349318 | − | 0.225245i | ||||
\(877\) | −26.8481 | − | 24.9114i | −0.906595 | − | 0.841197i | 0.0812415 | − | 0.996694i | \(-0.474111\pi\) |
−0.987836 | + | 0.155497i | \(0.950302\pi\) | |||||||
\(878\) | 10.3144 | − | 12.9339i | 0.348095 | − | 0.436497i | ||||
\(879\) | 15.3706 | − | 36.3877i | 0.518437 | − | 1.22733i | ||||
\(880\) | 2.73652 | − | 1.31784i | 0.0922481 | − | 0.0444243i | ||||
\(881\) | −34.1532 | −1.15065 | −0.575325 | − | 0.817925i | \(-0.695125\pi\) | ||||
−0.575325 | + | 0.817925i | \(0.695125\pi\) | |||||||
\(882\) | 14.8960 | − | 14.8023i | 0.501575 | − | 0.498420i | ||||
\(883\) | 52.5528 | 1.76854 | 0.884271 | − | 0.466973i | \(-0.154656\pi\) | ||||
0.884271 | + | 0.466973i | \(0.154656\pi\) | |||||||
\(884\) | −2.70084 | + | 1.30065i | −0.0908390 | + | 0.0437458i | ||||
\(885\) | −5.21557 | + | 0.649654i | −0.175320 | + | 0.0218379i | ||||
\(886\) | 24.9909 | − | 31.3376i | 0.839586 | − | 1.05281i | ||||
\(887\) | 35.9791 | + | 33.3837i | 1.20806 | + | 1.12092i | 0.989415 | + | 0.145112i | \(0.0463542\pi\) |
0.218645 | + | 0.975804i | \(0.429836\pi\) | |||||||
\(888\) | 0.00305711 | + | 0.0621844i | 0.000102590 | + | 0.00208677i | ||||
\(889\) | −9.70199 | + | 1.89003i | −0.325394 | + | 0.0633897i | ||||
\(890\) | −0.238297 | + | 1.04405i | −0.00798775 | + | 0.0349966i | ||||
\(891\) | −18.6668 | − | 41.7006i | −0.625363 | − | 1.39702i | ||||
\(892\) | −16.1661 | − | 4.98658i | −0.541281 | − | 0.166963i | ||||
\(893\) | 8.37180 | + | 5.70780i | 0.280152 | + | 0.191004i | ||||
\(894\) | 10.7499 | − | 17.5621i | 0.359532 | − | 0.587365i | ||||
\(895\) | −5.40841 | − | 3.68739i | −0.180783 | − | 0.123256i | ||||
\(896\) | 1.22363 | − | 2.34579i | 0.0408786 | − | 0.0783674i | ||||
\(897\) | 6.69681 | − | 3.01572i | 0.223600 | − | 0.100692i | ||||
\(898\) | 4.33294 | + | 18.9839i | 0.144592 | + | 0.633499i | ||||
\(899\) | −26.5157 | + | 3.99661i | −0.884350 | + | 0.133294i | ||||
\(900\) | 10.6813 | − | 8.93561i | 0.356043 | − | 0.297854i | ||||
\(901\) | −2.54429 | − | 4.40684i | −0.0847627 | − | 0.146813i | ||||
\(902\) | −31.8737 | + | 4.80419i | −1.06128 | + | 0.159962i | ||||
\(903\) | 31.9683 | + | 4.26003i | 1.06384 | + | 0.141765i | ||||
\(904\) | 1.33655 | + | 0.201453i | 0.0444530 | + | 0.00670022i | ||||
\(905\) | 0.584509 | + | 1.48931i | 0.0194297 | + | 0.0495062i | ||||
\(906\) | 23.6243 | + | 17.0114i | 0.784864 | + | 0.565165i | ||||
\(907\) | 0.875920 | + | 11.6883i | 0.0290845 | + | 0.388105i | 0.992683 | + | 0.120751i | \(0.0385303\pi\) |
−0.963598 | + | 0.267354i | \(0.913851\pi\) | |||||||
\(908\) | −11.5756 | − | 1.74474i | −0.384149 | − | 0.0579011i | ||||
\(909\) | 0.269837 | + | 11.5073i | 0.00894992 | + | 0.381671i | ||||
\(910\) | −4.80871 | + | 0.936780i | −0.159407 | + | 0.0310539i | ||||
\(911\) | −7.67272 | + | 1.15648i | −0.254209 | + | 0.0383158i | −0.274910 | − | 0.961470i | \(-0.588648\pi\) |
0.0207016 | + | 0.999786i | \(0.493410\pi\) | |||||||
\(912\) | −6.47546 | − | 1.14677i | −0.214424 | − | 0.0379732i | ||||
\(913\) | 6.48100 | 0.214490 | ||||||||
\(914\) | −1.24453 | − | 1.56060i | −0.0411655 | − | 0.0516199i | ||||
\(915\) | −6.83530 | + | 4.40750i | −0.225968 | + | 0.145707i | ||||
\(916\) | −9.43360 | + | 6.43172i | −0.311695 | + | 0.212510i | ||||
\(917\) | 26.8623 | − | 27.1540i | 0.887072 | − | 0.896704i | ||||
\(918\) | −2.84450 | + | 4.15217i | −0.0938824 | + | 0.137042i | ||||
\(919\) | 18.5481 | − | 47.2597i | 0.611845 | − | 1.55895i | −0.202940 | − | 0.979191i | \(-0.565050\pi\) |
0.814785 | − | 0.579764i | \(-0.196855\pi\) | |||||||
\(920\) | 0.677327 | + | 0.461794i | 0.0223308 | + | 0.0152249i | ||||
\(921\) | 13.8474 | + | 7.11217i | 0.456288 | + | 0.234354i | ||||
\(922\) | −1.49530 | + | 1.01948i | −0.0492451 | + | 0.0335748i | ||||
\(923\) | −34.8474 | + | 10.7490i | −1.14702 | + | 0.353807i | ||||
\(924\) | 20.7835 | − | 10.4509i | 0.683728 | − | 0.343809i | ||||
\(925\) | −0.159447 | − | 0.0491828i | −0.00524258 | − | 0.00161712i | ||||
\(926\) | −35.3550 | + | 10.9056i | −1.16184 | + | 0.358379i | ||||
\(927\) | −43.8902 | + | 26.7311i | −1.44154 | + | 0.877965i | ||||
\(928\) | −3.95145 | − | 3.66641i | −0.129713 | − | 0.120356i | ||||
\(929\) | −32.8630 | + | 15.8260i | −1.07820 | + | 0.519234i | −0.886741 | − | 0.462267i | \(-0.847036\pi\) |
−0.191459 | + | 0.981501i | \(0.561322\pi\) | |||||||
\(930\) | 1.75960 | + | 4.84567i | 0.0576994 | + | 0.158896i | ||||
\(931\) | 11.2723 | − | 24.0686i | 0.369434 | − | 0.788816i | ||||
\(932\) | −10.1507 | − | 17.5815i | −0.332497 | − | 0.575901i | ||||
\(933\) | −3.10706 | + | 12.1643i | −0.101721 | + | 0.398242i | ||||
\(934\) | −19.3757 | + | 5.97660i | −0.633991 | + | 0.195560i | ||||
\(935\) | −1.07482 | − | 2.73861i | −0.0351505 | − | 0.0895620i | ||||
\(936\) | 4.22340 | + | 8.26834i | 0.138046 | + | 0.270259i | ||||
\(937\) | 6.05315 | + | 26.5206i | 0.197748 | + | 0.866389i | 0.972273 | + | 0.233847i | \(0.0751314\pi\) |
−0.774526 | + | 0.632542i | \(0.782011\pi\) | |||||||
\(938\) | −1.25555 | + | 39.2220i | −0.0409951 | + | 1.28065i | ||||
\(939\) | −19.3019 | − | 25.5215i | −0.629894 | − | 0.832863i | ||||
\(940\) | 1.31927 | − | 0.899461i | 0.0430298 | − | 0.0293372i | ||||
\(941\) | −7.83598 | − | 34.3317i | −0.255446 | − | 1.11918i | −0.926061 | − | 0.377375i | \(-0.876827\pi\) |
0.670615 | − | 0.741806i | \(-0.266030\pi\) | |||||||
\(942\) | −9.18640 | + | 35.9653i | −0.299309 | + | 1.17181i | ||||
\(943\) | −5.42430 | − | 6.80186i | −0.176640 | − | 0.221499i | ||||
\(944\) | −4.56946 | + | 2.20054i | −0.148723 | + | 0.0716213i | ||||
\(945\) | −6.21764 | + | 5.38508i | −0.202260 | + | 0.175177i | ||||
\(946\) | 32.1885 | + | 15.5012i | 1.04654 | + | 0.503986i | ||||
\(947\) | −2.41178 | − | 10.5667i | −0.0783724 | − | 0.343372i | 0.920506 | − | 0.390729i | \(-0.127777\pi\) |
−0.998878 | + | 0.0473575i | \(0.984920\pi\) | |||||||
\(948\) | −10.8378 | − | 0.278347i | −0.351994 | − | 0.00904029i | ||||
\(949\) | −21.9811 | −0.713537 | ||||||||
\(950\) | 8.81236 | − | 15.2635i | 0.285911 | − | 0.495212i | ||||
\(951\) | −47.5835 | − | 1.22209i | −1.54300 | − | 0.0396290i | ||||
\(952\) | −2.17724 | − | 1.35171i | −0.0705646 | − | 0.0438090i | ||||
\(953\) | −3.83047 | + | 4.80326i | −0.124081 | + | 0.155593i | −0.839992 | − | 0.542599i | \(-0.817440\pi\) |
0.715911 | + | 0.698192i | \(0.246012\pi\) | |||||||
\(954\) | −13.4605 | + | 8.19802i | −0.435798 | + | 0.265421i | ||||
\(955\) | −3.75298 | + | 2.55874i | −0.121443 | + | 0.0827987i | ||||
\(956\) | −0.650635 | − | 8.68213i | −0.0210431 | − | 0.280800i | ||||
\(957\) | −9.35676 | − | 46.4632i | −0.302461 | − | 1.50194i | ||||
\(958\) | 11.1833 | + | 1.68561i | 0.361315 | + | 0.0544595i | ||||
\(959\) | 3.36457 | + | 12.2909i | 0.108647 | + | 0.396893i | ||||
\(960\) | −0.541027 | + | 0.883872i | −0.0174616 | + | 0.0285269i | ||||
\(961\) | −6.25311 | −0.201713 | ||||||||
\(962\) | 0.0556229 | − | 0.0963417i | 0.00179335 | − | 0.00310618i | ||||
\(963\) | −50.0101 | − | 10.1873i | −1.61155 | − | 0.328280i | ||||
\(964\) | 6.12513 | − | 5.68329i | 0.197277 | − | 0.183046i | ||||
\(965\) | 6.54457 | − | 4.46201i | 0.210677 | − | 0.143637i | ||||
\(966\) | 5.24754 | + | 3.44761i | 0.168837 | + | 0.110925i | ||||
\(967\) | −31.2243 | − | 21.2883i | −1.00410 | − | 0.684587i | −0.0546547 | − | 0.998505i | \(-0.517406\pi\) |
−0.949450 | + | 0.313918i | \(0.898358\pi\) | |||||||
\(968\) | 14.6053 | − | 2.20140i | 0.469432 | − | 0.0707555i | ||||
\(969\) | −1.57639 | + | 6.17166i | −0.0506409 | + | 0.198262i | ||||
\(970\) | 4.27667 | − | 3.96817i | 0.137316 | − | 0.127410i | ||||
\(971\) | 1.04847 | + | 13.9909i | 0.0336471 | + | 0.448989i | 0.988429 | + | 0.151683i | \(0.0484691\pi\) |
−0.954782 | + | 0.297306i | \(0.903912\pi\) | |||||||
\(972\) | 13.0631 | + | 8.50612i | 0.419001 | + | 0.272834i | ||||
\(973\) | 0.317982 | − | 1.73171i | 0.0101940 | − | 0.0555161i | ||||
\(974\) | −3.37354 | − | 1.04060i | −0.108095 | − | 0.0333430i | ||||
\(975\) | −24.6924 | + | 3.07570i | −0.790789 | + | 0.0985011i | ||||
\(976\) | −4.89323 | + | 6.13591i | −0.156628 | + | 0.196406i | ||||
\(977\) | −9.96310 | + | 43.6512i | −0.318748 | + | 1.39653i | 0.521003 | + | 0.853555i | \(0.325558\pi\) |
−0.839751 | + | 0.542971i | \(0.817299\pi\) | |||||||
\(978\) | 7.62328 | − | 2.13874i | 0.243766 | − | 0.0683893i | ||||
\(979\) | −4.54306 | + | 7.86881i | −0.145197 | + | 0.251488i | ||||
\(980\) | −2.88169 | − | 3.03923i | −0.0920521 | − | 0.0970845i | ||||
\(981\) | 56.8962 | + | 20.8045i | 1.81656 | + | 0.664236i | ||||
\(982\) | −17.0276 | − | 11.6092i | −0.543373 | − | 0.370465i | ||||
\(983\) | 36.8788 | − | 11.3756i | 1.17625 | − | 0.362825i | 0.355811 | − | 0.934558i | \(-0.384205\pi\) |
0.820440 | + | 0.571733i | \(0.193729\pi\) | |||||||
\(984\) | 8.25147 | − | 7.27105i | 0.263047 | − | 0.231793i | ||||
\(985\) | −8.26027 | − | 7.66441i | −0.263194 | − | 0.244208i | ||||
\(986\) | −3.82742 | + | 3.55133i | −0.121890 | + | 0.113097i | ||||
\(987\) | 9.98503 | − | 7.06109i | 0.317827 | − | 0.224757i | ||||
\(988\) | 8.61368 | + | 7.99233i | 0.274038 | + | 0.254270i | ||||
\(989\) | 0.720594 | + | 9.61566i | 0.0229136 | + | 0.305760i | ||||
\(990\) | −8.40168 | + | 3.52689i | −0.267023 | + | 0.112092i | ||||
\(991\) | 0.494013 | − | 6.59215i | 0.0156929 | − | 0.209407i | −0.983845 | − | 0.179020i | \(-0.942707\pi\) |
0.999538 | − | 0.0303863i | \(-0.00967374\pi\) | |||||||
\(992\) | 3.10163 | + | 3.88932i | 0.0984768 | + | 0.123486i | ||||
\(993\) | 3.80073 | − | 14.8801i | 0.120613 | − | 0.472206i | ||||
\(994\) | −23.7398 | − | 20.2076i | −0.752980 | − | 0.640948i | ||||
\(995\) | −0.653167 | − | 8.71591i | −0.0207068 | − | 0.276313i | ||||
\(996\) | −1.85842 | + | 1.19834i | −0.0588863 | + | 0.0379707i | ||||
\(997\) | 2.06860 | − | 5.27070i | 0.0655131 | − | 0.166925i | −0.894368 | − | 0.447332i | \(-0.852374\pi\) |
0.959881 | + | 0.280407i | \(0.0904695\pi\) | |||||||
\(998\) | −11.0535 | + | 19.1452i | −0.349892 | + | 0.606030i | ||||
\(999\) | 0.000416971 | − | 0.186778i | 1.31924e−5 | − | 0.00590940i |
(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 | 882.2.bb.b.151.9 | yes | 336 | |
9.4 | even | 3 | 882.2.y.a.445.6 | yes | 336 | ||
49.37 | even | 21 | 882.2.y.a.331.6 | ✓ | 336 | ||
441.184 | even | 21 | inner | 882.2.bb.b.625.9 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.a.331.6 | ✓ | 336 | 49.37 | even | 21 | ||
882.2.y.a.445.6 | yes | 336 | 9.4 | even | 3 | ||
882.2.bb.b.151.9 | yes | 336 | 1.1 | even | 1 | trivial | |
882.2.bb.b.625.9 | yes | 336 | 441.184 | even | 21 | inner |