Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 263.16 | ||
Character | \(\chi\) | \(=\) | 570.263 |
Dual form | 570.2.bi.a.557.16 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0871557 | − | 0.996195i | −0.0616284 | − | 0.704416i | ||||
\(3\) | 1.40461 | + | 1.01345i | 0.810949 | + | 0.585116i | ||||
\(4\) | −0.984808 | + | 0.173648i | −0.492404 | + | 0.0868241i | ||||
\(5\) | −2.23226 | + | 0.130500i | −0.998296 | + | 0.0583616i | ||||
\(6\) | 0.887175 | − | 1.48759i | 0.362188 | − | 0.607306i | ||||
\(7\) | −0.693469 | − | 0.185814i | −0.262107 | − | 0.0702312i | 0.125373 | − | 0.992110i | \(-0.459987\pi\) |
−0.387479 | + | 0.921879i | \(0.626654\pi\) | |||||||
\(8\) | 0.258819 | + | 0.965926i | 0.0915064 | + | 0.341506i | ||||
\(9\) | 0.945834 | + | 2.84700i | 0.315278 | + | 0.948999i | ||||
\(10\) | 0.324558 | + | 2.21239i | 0.102634 | + | 0.699619i | ||||
\(11\) | 0.957690 | + | 0.552923i | 0.288754 | + | 0.166712i | 0.637380 | − | 0.770550i | \(-0.280018\pi\) |
−0.348626 | + | 0.937262i | \(0.613352\pi\) | |||||||
\(12\) | −1.55925 | − | 0.754147i | −0.450117 | − | 0.217704i | ||||
\(13\) | 1.59870 | + | 3.42843i | 0.443400 | + | 0.950874i | 0.993291 | + | 0.115638i | \(0.0368913\pi\) |
−0.549892 | + | 0.835236i | \(0.685331\pi\) | |||||||
\(14\) | −0.124668 | + | 0.707025i | −0.0333188 | + | 0.188960i | ||||
\(15\) | −3.26770 | − | 2.07898i | −0.843715 | − | 0.536791i | ||||
\(16\) | 0.939693 | − | 0.342020i | 0.234923 | − | 0.0855050i | ||||
\(17\) | 0.308860 | + | 3.53029i | 0.0749097 | + | 0.856221i | 0.936969 | + | 0.349413i | \(0.113619\pi\) |
−0.862059 | + | 0.506808i | \(0.830825\pi\) | |||||||
\(18\) | 2.75373 | − | 1.19037i | 0.649060 | − | 0.280572i | ||||
\(19\) | 0.650639 | + | 4.31007i | 0.149267 | + | 0.988797i | ||||
\(20\) | 2.17568 | − | 0.516145i | 0.486497 | − | 0.115414i | ||||
\(21\) | −0.785736 | − | 0.963792i | −0.171462 | − | 0.210317i | ||||
\(22\) | 0.467350 | − | 1.00224i | 0.0996394 | − | 0.213677i | ||||
\(23\) | 0.482292 | + | 0.337705i | 0.100565 | + | 0.0704163i | 0.622777 | − | 0.782399i | \(-0.286004\pi\) |
−0.522212 | + | 0.852815i | \(0.674893\pi\) | |||||||
\(24\) | −0.615380 | + | 1.61905i | −0.125614 | + | 0.330486i | ||||
\(25\) | 4.96594 | − | 0.582621i | 0.993188 | − | 0.116524i | ||||
\(26\) | 3.27604 | − | 1.89142i | 0.642485 | − | 0.370939i | ||||
\(27\) | −1.55677 | + | 4.95747i | −0.299601 | + | 0.954065i | ||||
\(28\) | 0.715200 | + | 0.0625719i | 0.135160 | + | 0.0118250i | ||||
\(29\) | −0.211072 | + | 0.177111i | −0.0391951 | + | 0.0328886i | −0.662175 | − | 0.749349i | \(-0.730366\pi\) |
0.622980 | + | 0.782238i | \(0.285922\pi\) | |||||||
\(30\) | −1.78627 | + | 3.43646i | −0.326127 | + | 0.627408i | ||||
\(31\) | −1.29002 | − | 2.23438i | −0.231694 | − | 0.401307i | 0.726612 | − | 0.687048i | \(-0.241094\pi\) |
−0.958307 | + | 0.285741i | \(0.907760\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | 0.784817 | + | 1.74721i | 0.136619 | + | 0.304150i | ||||
\(34\) | 3.48994 | − | 0.615370i | 0.598520 | − | 0.105535i | ||||
\(35\) | 1.57225 | + | 0.324287i | 0.265759 | + | 0.0548146i | ||||
\(36\) | −1.42584 | − | 2.63950i | −0.237640 | − | 0.439917i | ||||
\(37\) | 1.45512 | − | 1.45512i | 0.239221 | − | 0.239221i | −0.577307 | − | 0.816527i | \(-0.695896\pi\) |
0.816527 | + | 0.577307i | \(0.195896\pi\) | |||||||
\(38\) | 4.23696 | − | 1.02381i | 0.687325 | − | 0.166084i | ||||
\(39\) | −1.22900 | + | 6.43579i | −0.196797 | + | 1.03055i | ||||
\(40\) | −0.703804 | − | 2.12242i | −0.111281 | − | 0.335584i | ||||
\(41\) | 2.75616 | + | 7.57248i | 0.430439 | + | 1.18262i | 0.945544 | + | 0.325495i | \(0.105531\pi\) |
−0.515104 | + | 0.857127i | \(0.672247\pi\) | |||||||
\(42\) | −0.891644 | + | 0.866746i | −0.137584 | + | 0.133742i | ||||
\(43\) | −5.18643 | + | 3.63158i | −0.790924 | + | 0.553811i | −0.897770 | − | 0.440465i | \(-0.854814\pi\) |
0.106846 | + | 0.994276i | \(0.465925\pi\) | |||||||
\(44\) | −1.03915 | − | 0.378221i | −0.156658 | − | 0.0570190i | ||||
\(45\) | −2.48288 | − | 6.23180i | −0.370126 | − | 0.928982i | ||||
\(46\) | 0.294385 | − | 0.509890i | 0.0434047 | − | 0.0751792i | ||||
\(47\) | 4.28170 | + | 0.374601i | 0.624551 | + | 0.0546411i | 0.395038 | − | 0.918665i | \(-0.370731\pi\) |
0.229512 | + | 0.973306i | \(0.426287\pi\) | |||||||
\(48\) | 1.66652 | + | 0.471929i | 0.240541 | + | 0.0681171i | ||||
\(49\) | −5.61581 | − | 3.24229i | −0.802258 | − | 0.463184i | ||||
\(50\) | −1.01321 | − | 4.89626i | −0.143290 | − | 0.692436i | ||||
\(51\) | −3.14395 | + | 5.27168i | −0.440241 | + | 0.738183i | ||||
\(52\) | −2.16975 | − | 3.09873i | −0.300891 | − | 0.429716i | ||||
\(53\) | −3.77167 | − | 2.64095i | −0.518078 | − | 0.362762i | 0.285103 | − | 0.958497i | \(-0.407972\pi\) |
−0.803181 | + | 0.595735i | \(0.796861\pi\) | |||||||
\(54\) | 5.07428 | + | 1.11877i | 0.690522 | + | 0.152246i | ||||
\(55\) | −2.20997 | − | 1.10929i | −0.297992 | − | 0.149576i | ||||
\(56\) | − | 0.717932i | − | 0.0959376i | ||||||
\(57\) | −3.45415 | + | 6.71333i | −0.457513 | + | 0.889203i | ||||
\(58\) | 0.194833 | + | 0.194833i | 0.0255828 | + | 0.0255828i | ||||
\(59\) | −5.58831 | − | 4.68915i | −0.727535 | − | 0.610475i | 0.201923 | − | 0.979401i | \(-0.435281\pi\) |
−0.929458 | + | 0.368927i | \(0.879725\pi\) | |||||||
\(60\) | 3.57906 | + | 1.47997i | 0.462055 | + | 0.191063i | ||||
\(61\) | −1.14056 | − | 6.46842i | −0.146033 | − | 0.828196i | −0.966532 | − | 0.256547i | \(-0.917415\pi\) |
0.820498 | − | 0.571649i | \(-0.193696\pi\) | |||||||
\(62\) | −2.11345 | + | 1.47985i | −0.268408 | + | 0.187941i | ||||
\(63\) | −0.126893 | − | 2.15005i | −0.0159870 | − | 0.270881i | ||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | −4.01612 | − | 7.44449i | −0.498139 | − | 0.923376i | ||||
\(66\) | 1.67216 | − | 0.934110i | 0.205829 | − | 0.114981i | ||||
\(67\) | 0.128666 | − | 1.47065i | 0.0157190 | − | 0.179669i | −0.984276 | − | 0.176635i | \(-0.943479\pi\) |
0.999995 | − | 0.00303390i | \(-0.000965722\pi\) | |||||||
\(68\) | −0.917197 | − | 3.42303i | −0.111226 | − | 0.415103i | ||||
\(69\) | 0.335183 | + | 0.963122i | 0.0403513 | + | 0.115946i | ||||
\(70\) | 0.186023 | − | 1.59453i | 0.0222340 | − | 0.190583i | ||||
\(71\) | 14.0084 | + | 2.47007i | 1.66250 | + | 0.293143i | 0.924364 | − | 0.381512i | \(-0.124597\pi\) |
0.738133 | + | 0.674655i | \(0.235708\pi\) | |||||||
\(72\) | −2.50519 | + | 1.65046i | −0.295239 | + | 0.194509i | ||||
\(73\) | −2.29327 | − | 1.06937i | −0.268407 | − | 0.125160i | 0.283756 | − | 0.958897i | \(-0.408419\pi\) |
−0.552163 | + | 0.833736i | \(0.686197\pi\) | |||||||
\(74\) | −1.57641 | − | 1.32276i | −0.183254 | − | 0.153768i | ||||
\(75\) | 7.56564 | + | 4.21438i | 0.873605 | + | 0.486635i | ||||
\(76\) | −1.38919 | − | 4.13160i | −0.159351 | − | 0.473927i | ||||
\(77\) | −0.561387 | − | 0.561387i | −0.0639760 | − | 0.0639760i | ||||
\(78\) | 6.51841 | + | 0.663404i | 0.738065 | + | 0.0751157i | ||||
\(79\) | −2.66654 | − | 7.32626i | −0.300009 | − | 0.824268i | −0.994497 | − | 0.104764i | \(-0.966591\pi\) |
0.694488 | − | 0.719504i | \(-0.255631\pi\) | |||||||
\(80\) | −2.05300 | + | 0.886107i | −0.229533 | + | 0.0990698i | ||||
\(81\) | −7.21080 | + | 5.38557i | −0.801200 | + | 0.598397i | ||||
\(82\) | 7.30345 | − | 3.40565i | 0.806531 | − | 0.376092i | ||||
\(83\) | 6.22884 | + | 1.66901i | 0.683704 | + | 0.183198i | 0.583920 | − | 0.811811i | \(-0.301518\pi\) |
0.0997838 | + | 0.995009i | \(0.468185\pi\) | |||||||
\(84\) | 0.941160 | + | 0.812709i | 0.102689 | + | 0.0886738i | ||||
\(85\) | −1.15016 | − | 7.84021i | −0.124752 | − | 0.850390i | ||||
\(86\) | 4.06979 | + | 4.85018i | 0.438856 | + | 0.523009i | ||||
\(87\) | −0.475966 | + | 0.0348592i | −0.0510290 | + | 0.00373730i | ||||
\(88\) | −0.286214 | + | 1.06816i | −0.0305105 | + | 0.113867i | ||||
\(89\) | 5.78975 | + | 2.10730i | 0.613712 | + | 0.223373i | 0.630127 | − | 0.776492i | \(-0.283003\pi\) |
−0.0164147 | + | 0.999865i | \(0.505225\pi\) | |||||||
\(90\) | −5.99169 | + | 3.01657i | −0.631579 | + | 0.317974i | ||||
\(91\) | −0.471598 | − | 2.67457i | −0.0494369 | − | 0.280371i | ||||
\(92\) | −0.533607 | − | 0.248825i | −0.0556324 | − | 0.0259418i | ||||
\(93\) | 0.452466 | − | 4.44580i | 0.0469185 | − | 0.461008i | ||||
\(94\) | − | 4.29806i | − | 0.443311i | ||||||
\(95\) | −2.01486 | − | 9.53626i | −0.206720 | − | 0.978400i | ||||
\(96\) | 0.324887 | − | 1.70131i | 0.0331586 | − | 0.173639i | ||||
\(97\) | 15.8857 | − | 1.38982i | 1.61295 | − | 0.141115i | 0.755310 | − | 0.655368i | \(-0.227486\pi\) |
0.857638 | + | 0.514253i | \(0.171931\pi\) | |||||||
\(98\) | −2.74050 | + | 5.87702i | −0.276832 | + | 0.593669i | ||||
\(99\) | −0.668354 | + | 3.24951i | −0.0671721 | + | 0.326589i | ||||
\(100\) | −4.78932 | + | 1.43610i | −0.478932 | + | 0.143610i | ||||
\(101\) | 6.21919 | − | 17.0871i | 0.618832 | − | 1.70023i | −0.0909950 | − | 0.995851i | \(-0.529005\pi\) |
0.709827 | − | 0.704376i | \(-0.248773\pi\) | |||||||
\(102\) | 5.52564 | + | 2.67253i | 0.547119 | + | 0.264620i | ||||
\(103\) | 8.34447 | − | 2.23589i | 0.822205 | − | 0.220309i | 0.176895 | − | 0.984230i | \(-0.443395\pi\) |
0.645310 | + | 0.763921i | \(0.276728\pi\) | |||||||
\(104\) | −2.89783 | + | 2.43157i | −0.284156 | + | 0.238435i | ||||
\(105\) | 1.87974 | + | 2.04889i | 0.183444 | + | 0.199951i | ||||
\(106\) | −2.30218 | + | 3.98749i | −0.223607 | + | 0.387299i | ||||
\(107\) | −1.10078 | + | 4.10816i | −0.106416 | + | 0.397150i | −0.998502 | − | 0.0547156i | \(-0.982575\pi\) |
0.892086 | + | 0.451866i | \(0.149241\pi\) | |||||||
\(108\) | 0.672264 | − | 5.15248i | 0.0646887 | − | 0.495798i | ||||
\(109\) | −7.83658 | − | 1.38180i | −0.750608 | − | 0.132353i | −0.214760 | − | 0.976667i | \(-0.568897\pi\) |
−0.535848 | + | 0.844314i | \(0.680008\pi\) | |||||||
\(110\) | −0.912454 | + | 2.29824i | −0.0869991 | + | 0.219128i | ||||
\(111\) | 3.51857 | − | 0.569178i | 0.333968 | − | 0.0540239i | ||||
\(112\) | −0.715200 | + | 0.0625719i | −0.0675800 | + | 0.00591248i | ||||
\(113\) | −2.78417 | + | 2.78417i | −0.261913 | + | 0.261913i | −0.825831 | − | 0.563918i | \(-0.809293\pi\) |
0.563918 | + | 0.825831i | \(0.309293\pi\) | |||||||
\(114\) | 6.98884 | + | 2.85590i | 0.654565 | + | 0.267480i | ||||
\(115\) | −1.12067 | − | 0.690904i | −0.104503 | − | 0.0644272i | ||||
\(116\) | 0.177111 | − | 0.211072i | 0.0164443 | − | 0.0195976i | ||||
\(117\) | −8.24862 | + | 7.79422i | −0.762585 | + | 0.720576i | ||||
\(118\) | −4.18425 | + | 5.97573i | −0.385191 | + | 0.550110i | ||||
\(119\) | 0.441794 | − | 2.50554i | 0.0404992 | − | 0.229682i | ||||
\(120\) | 1.16240 | − | 3.69443i | 0.106112 | − | 0.337254i | ||||
\(121\) | −4.88855 | − | 8.46722i | −0.444414 | − | 0.769747i | ||||
\(122\) | −6.34440 | + | 1.69998i | −0.574395 | + | 0.153909i | ||||
\(123\) | −3.80302 | + | 13.4296i | −0.342907 | + | 1.21090i | ||||
\(124\) | 1.65842 | + | 1.97643i | 0.148930 | + | 0.177488i | ||||
\(125\) | −11.0092 | + | 1.94862i | −0.984694 | + | 0.174290i | ||||
\(126\) | −2.13081 | + | 0.313800i | −0.189828 | + | 0.0279555i | ||||
\(127\) | −2.70655 | + | 1.26209i | −0.240168 | + | 0.111992i | −0.538976 | − | 0.842321i | \(-0.681189\pi\) |
0.298808 | + | 0.954313i | \(0.403411\pi\) | |||||||
\(128\) | 0.573576 | + | 0.819152i | 0.0506975 | + | 0.0724035i | ||||
\(129\) | −10.9653 | − | 0.155259i | −0.965443 | − | 0.0136698i | ||||
\(130\) | −7.06614 | + | 4.64967i | −0.619741 | + | 0.407803i | ||||
\(131\) | 0.149322 | − | 0.177955i | 0.0130463 | − | 0.0155480i | −0.759482 | − | 0.650529i | \(-0.774547\pi\) |
0.772528 | + | 0.634980i | \(0.218992\pi\) | |||||||
\(132\) | −1.07629 | − | 1.58438i | −0.0936793 | − | 0.137903i | ||||
\(133\) | 0.349674 | − | 3.10979i | 0.0303206 | − | 0.269653i | ||||
\(134\) | −1.47627 | −0.127531 | ||||||||
\(135\) | 2.82816 | − | 11.2695i | 0.243409 | − | 0.969924i | ||||
\(136\) | −3.33006 | + | 1.21204i | −0.285550 | + | 0.103932i | ||||
\(137\) | −13.0819 | + | 18.6829i | −1.11766 | + | 1.59618i | −0.374280 | + | 0.927316i | \(0.622110\pi\) |
−0.743380 | + | 0.668869i | \(0.766779\pi\) | |||||||
\(138\) | 0.930244 | − | 0.417849i | 0.0791876 | − | 0.0355697i | ||||
\(139\) | 7.66439 | − | 21.0577i | 0.650085 | − | 1.78609i | 0.0326580 | − | 0.999467i | \(-0.489603\pi\) |
0.617427 | − | 0.786628i | \(-0.288175\pi\) | |||||||
\(140\) | −1.60467 | − | 0.0463426i | −0.135620 | − | 0.00391666i | ||||
\(141\) | 5.63447 | + | 4.86546i | 0.474508 | + | 0.409746i | ||||
\(142\) | 1.23975 | − | 14.1704i | 0.104038 | − | 1.18916i | ||||
\(143\) | −0.364594 | + | 4.16733i | −0.0304889 | + | 0.348489i | ||||
\(144\) | 1.86252 | + | 2.35181i | 0.155210 | + | 0.195984i | ||||
\(145\) | 0.448055 | − | 0.422902i | 0.0372089 | − | 0.0351201i | ||||
\(146\) | −0.865428 | + | 2.37774i | −0.0716233 | + | 0.196783i | ||||
\(147\) | −4.60209 | − | 10.2455i | −0.379574 | − | 0.845033i | ||||
\(148\) | −1.18034 | + | 1.68569i | −0.0970230 | + | 0.138563i | ||||
\(149\) | −3.82148 | + | 1.39090i | −0.313068 | + | 0.113947i | −0.493775 | − | 0.869590i | \(-0.664383\pi\) |
0.180708 | + | 0.983537i | \(0.442161\pi\) | |||||||
\(150\) | 3.53896 | − | 7.90416i | 0.288955 | − | 0.645372i | ||||
\(151\) | 0.368096 | 0.0299552 | 0.0149776 | − | 0.999888i | \(-0.495232\pi\) | ||||
0.0149776 | + | 0.999888i | \(0.495232\pi\) | |||||||
\(152\) | −3.99481 | + | 1.74400i | −0.324022 | + | 0.141457i | ||||
\(153\) | −9.75860 | + | 4.21839i | −0.788936 | + | 0.341037i | ||||
\(154\) | −0.510323 | + | 0.608179i | −0.0411230 | + | 0.0490085i | ||||
\(155\) | 3.17124 | + | 4.81936i | 0.254720 | + | 0.387100i | ||||
\(156\) | 0.0927625 | − | 6.55143i | 0.00742695 | − | 0.524534i | ||||
\(157\) | 11.0446 | + | 15.7733i | 0.881455 | + | 1.25885i | 0.964975 | + | 0.262342i | \(0.0844948\pi\) |
−0.0835202 | + | 0.996506i | \(0.526616\pi\) | |||||||
\(158\) | −7.06597 | + | 3.29492i | −0.562139 | + | 0.262130i | ||||
\(159\) | −2.62123 | − | 7.53189i | −0.207877 | − | 0.597318i | ||||
\(160\) | 1.06167 | + | 1.96796i | 0.0839321 | + | 0.155581i | ||||
\(161\) | −0.271704 | − | 0.323805i | −0.0214133 | − | 0.0255194i | ||||
\(162\) | 5.99354 | + | 6.71397i | 0.470897 | + | 0.527500i | ||||
\(163\) | −12.7399 | + | 3.41364i | −0.997863 | + | 0.267377i | −0.720550 | − | 0.693403i | \(-0.756111\pi\) |
−0.277313 | + | 0.960780i | \(0.589444\pi\) | |||||||
\(164\) | −4.02923 | − | 6.97883i | −0.314630 | − | 0.544955i | ||||
\(165\) | −1.97992 | − | 3.79780i | −0.154137 | − | 0.295659i | ||||
\(166\) | 1.11978 | − | 6.35060i | 0.0869119 | − | 0.492902i | ||||
\(167\) | −7.65116 | + | 10.9270i | −0.592065 | + | 0.845556i | −0.997651 | − | 0.0685006i | \(-0.978179\pi\) |
0.405586 | + | 0.914057i | \(0.367067\pi\) | |||||||
\(168\) | 0.727589 | − | 1.00841i | 0.0561347 | − | 0.0778006i | ||||
\(169\) | −0.842017 | + | 1.00348i | −0.0647706 | + | 0.0771905i | ||||
\(170\) | −7.71013 | + | 1.82910i | −0.591340 | + | 0.140286i | ||||
\(171\) | −11.6554 | + | 5.92897i | −0.891307 | + | 0.453400i | ||||
\(172\) | 4.47702 | − | 4.47702i | 0.341370 | − | 0.341370i | ||||
\(173\) | 9.96303 | − | 0.871652i | 0.757475 | − | 0.0662705i | 0.298126 | − | 0.954526i | \(-0.403638\pi\) |
0.459349 | + | 0.888256i | \(0.348083\pi\) | |||||||
\(174\) | 0.0762098 | + | 0.471117i | 0.00577745 | + | 0.0357153i | ||||
\(175\) | −3.55198 | − | 0.518713i | −0.268505 | − | 0.0392110i | ||||
\(176\) | 1.08905 | + | 0.192028i | 0.0820899 | + | 0.0144747i | ||||
\(177\) | −3.09715 | − | 12.2499i | −0.232796 | − | 0.920757i | ||||
\(178\) | 1.59467 | − | 5.95138i | 0.119525 | − | 0.446075i | ||||
\(179\) | 10.4252 | − | 18.0569i | 0.779214 | − | 1.34964i | −0.153182 | − | 0.988198i | \(-0.548952\pi\) |
0.932395 | − | 0.361440i | \(-0.117715\pi\) | |||||||
\(180\) | 3.52730 | + | 5.70598i | 0.262909 | + | 0.425298i | ||||
\(181\) | −9.65266 | + | 8.09955i | −0.717477 | + | 0.602035i | −0.926686 | − | 0.375836i | \(-0.877355\pi\) |
0.209209 | + | 0.977871i | \(0.432911\pi\) | |||||||
\(182\) | −2.62329 | + | 0.702908i | −0.194451 | + | 0.0521030i | ||||
\(183\) | 4.95339 | − | 10.2415i | 0.366165 | − | 0.757071i | ||||
\(184\) | −0.201371 | + | 0.553263i | −0.0148453 | + | 0.0407871i | ||||
\(185\) | −3.05831 | + | 3.43810i | −0.224852 | + | 0.252774i | ||||
\(186\) | −4.46831 | − | 0.0632674i | −0.327633 | − | 0.00463899i | ||||
\(187\) | −1.65619 | + | 3.55170i | −0.121112 | + | 0.259726i | ||||
\(188\) | −4.28170 | + | 0.374601i | −0.312275 | + | 0.0273206i | ||||
\(189\) | 2.00074 | − | 3.14858i | 0.145532 | − | 0.229025i | ||||
\(190\) | −9.32437 | + | 2.83833i | −0.676461 | + | 0.205914i | ||||
\(191\) | − | 10.8760i | − | 0.786957i | −0.919334 | − | 0.393478i | \(-0.871272\pi\) | ||
0.919334 | − | 0.393478i | \(-0.128728\pi\) | |||||||
\(192\) | −1.72315 | − | 0.175372i | −0.124358 | − | 0.0126564i | ||||
\(193\) | 5.66971 | + | 2.64383i | 0.408114 | + | 0.190307i | 0.615824 | − | 0.787884i | \(-0.288823\pi\) |
−0.207710 | + | 0.978191i | \(0.566601\pi\) | |||||||
\(194\) | −2.76906 | − | 15.7041i | −0.198807 | − | 1.12749i | ||||
\(195\) | 1.90356 | − | 14.5267i | 0.136317 | − | 1.04028i | ||||
\(196\) | 6.09351 | + | 2.21786i | 0.435250 | + | 0.158418i | ||||
\(197\) | −3.99954 | + | 14.9265i | −0.284956 | + | 1.06347i | 0.663916 | + | 0.747807i | \(0.268893\pi\) |
−0.948872 | + | 0.315662i | \(0.897773\pi\) | |||||||
\(198\) | 3.29540 | + | 0.382597i | 0.234194 | + | 0.0271900i | ||||
\(199\) | −9.16953 | − | 10.9278i | −0.650011 | − | 0.774652i | 0.335905 | − | 0.941896i | \(-0.390958\pi\) |
−0.985916 | + | 0.167243i | \(0.946513\pi\) | |||||||
\(200\) | 1.84805 | + | 4.64594i | 0.130677 | + | 0.328517i | ||||
\(201\) | 1.67116 | − | 1.93529i | 0.117875 | − | 0.136505i | ||||
\(202\) | −17.5641 | − | 4.70628i | −1.23580 | − | 0.331133i | ||||
\(203\) | 0.179282 | − | 0.0836005i | 0.0125831 | − | 0.00586760i | ||||
\(204\) | 2.18077 | − | 5.73753i | 0.152684 | − | 0.401708i | ||||
\(205\) | −7.14066 | − | 16.5440i | −0.498725 | − | 1.15549i | ||||
\(206\) | −2.95465 | − | 8.11784i | −0.205860 | − | 0.565597i | ||||
\(207\) | −0.505276 | + | 1.69250i | −0.0351191 | + | 0.117637i | ||||
\(208\) | 2.67488 | + | 2.67488i | 0.185469 | + | 0.185469i | ||||
\(209\) | −1.76002 | + | 4.48746i | −0.121743 | + | 0.310404i | ||||
\(210\) | 1.87727 | − | 2.05116i | 0.129544 | − | 0.141543i | ||||
\(211\) | 18.0677 | + | 15.1606i | 1.24383 | + | 1.04370i | 0.997214 | + | 0.0745873i | \(0.0237639\pi\) |
0.246619 | + | 0.969113i | \(0.420681\pi\) | |||||||
\(212\) | 4.17296 | + | 1.94588i | 0.286600 | + | 0.133644i | ||||
\(213\) | 17.1730 | + | 17.6663i | 1.17668 | + | 1.21048i | ||||
\(214\) | 4.18846 | + | 0.738539i | 0.286317 | + | 0.0504855i | ||||
\(215\) | 11.1035 | − | 8.78345i | 0.757254 | − | 0.599026i | ||||
\(216\) | −5.19147 | − | 0.220638i | −0.353235 | − | 0.0150125i | ||||
\(217\) | 0.479409 | + | 1.78918i | 0.0325444 | + | 0.121457i | ||||
\(218\) | −0.693539 | + | 7.92719i | −0.0469724 | + | 0.536897i | ||||
\(219\) | −2.13738 | − | 3.82616i | −0.144431 | − | 0.258548i | ||||
\(220\) | 2.36902 | + | 0.708677i | 0.159719 | + | 0.0477790i | ||||
\(221\) | −11.6096 | + | 6.70279i | −0.780944 | + | 0.450878i | ||||
\(222\) | −0.873675 | − | 3.45557i | −0.0586372 | − | 0.231923i | ||||
\(223\) | 18.2714 | − | 12.7938i | 1.22355 | − | 0.856735i | 0.230340 | − | 0.973110i | \(-0.426016\pi\) |
0.993205 | + | 0.116375i | \(0.0371274\pi\) | |||||||
\(224\) | 0.124668 | + | 0.707025i | 0.00832970 | + | 0.0472401i | ||||
\(225\) | 6.35567 | + | 13.5870i | 0.423712 | + | 0.905797i | ||||
\(226\) | 3.01624 | + | 2.53092i | 0.200637 | + | 0.168354i | ||||
\(227\) | 4.93551 | + | 4.93551i | 0.327581 | + | 0.327581i | 0.851666 | − | 0.524085i | \(-0.175593\pi\) |
−0.524085 | + | 0.851666i | \(0.675593\pi\) | |||||||
\(228\) | 2.23591 | − | 7.21115i | 0.148077 | − | 0.477570i | ||||
\(229\) | 19.4863i | 1.28769i | 0.765156 | + | 0.643844i | \(0.222662\pi\) | ||||
−0.765156 | + | 0.643844i | \(0.777338\pi\) | |||||||
\(230\) | −0.590602 | + | 1.17662i | −0.0389432 | + | 0.0775842i | ||||
\(231\) | −0.219589 | − | 1.35747i | −0.0144479 | − | 0.0893147i | ||||
\(232\) | −0.225705 | − | 0.158041i | −0.0148183 | − | 0.0103759i | ||||
\(233\) | 7.57212 | + | 10.8141i | 0.496066 | + | 0.708456i | 0.986635 | − | 0.162947i | \(-0.0520998\pi\) |
−0.490569 | + | 0.871403i | \(0.663211\pi\) | |||||||
\(234\) | 8.48347 | + | 7.53792i | 0.554582 | + | 0.492769i | ||||
\(235\) | −9.60675 | − | 0.277440i | −0.626675 | − | 0.0180982i | ||||
\(236\) | 6.31767 | + | 3.64751i | 0.411245 | + | 0.237433i | ||||
\(237\) | 3.67937 | − | 12.9929i | 0.239001 | − | 0.843980i | ||||
\(238\) | −2.53451 | − | 0.221741i | −0.164288 | − | 0.0143733i | ||||
\(239\) | 13.7239 | − | 23.7705i | 0.887727 | − | 1.53759i | 0.0451717 | − | 0.998979i | \(-0.485617\pi\) |
0.842556 | − | 0.538609i | \(-0.181050\pi\) | |||||||
\(240\) | −3.78168 | − | 0.835985i | −0.244107 | − | 0.0539626i | ||||
\(241\) | −8.32665 | − | 3.03065i | −0.536367 | − | 0.195222i | 0.0596121 | − | 0.998222i | \(-0.481014\pi\) |
−0.595979 | + | 0.803000i | \(0.703236\pi\) | |||||||
\(242\) | −8.00894 | + | 5.60792i | −0.514834 | + | 0.360491i | ||||
\(243\) | −15.5863 | + | 0.256817i | −0.999864 | + | 0.0164748i | ||||
\(244\) | 2.24646 | + | 6.17209i | 0.143815 | + | 0.395128i | ||||
\(245\) | 12.9590 | + | 6.50475i | 0.827923 | + | 0.415573i | ||||
\(246\) | 13.7099 | + | 2.61809i | 0.874113 | + | 0.166923i | ||||
\(247\) | −13.7366 | + | 9.12118i | −0.874037 | + | 0.580367i | ||||
\(248\) | 1.82436 | − | 1.82436i | 0.115847 | − | 0.115847i | ||||
\(249\) | 7.05760 | + | 8.65692i | 0.447257 | + | 0.548610i | ||||
\(250\) | 2.90072 | + | 10.7975i | 0.183458 | + | 0.682893i | ||||
\(251\) | 20.7090 | − | 3.65156i | 1.30714 | − | 0.230484i | 0.523675 | − | 0.851918i | \(-0.324561\pi\) |
0.783467 | + | 0.621434i | \(0.213450\pi\) | |||||||
\(252\) | 0.498318 | + | 2.09535i | 0.0313911 | + | 0.131995i | ||||
\(253\) | 0.275162 | + | 0.590087i | 0.0172993 | + | 0.0370984i | ||||
\(254\) | 1.49317 | + | 2.58625i | 0.0936901 | + | 0.162276i | ||||
\(255\) | 6.33015 | − | 12.1780i | 0.396409 | − | 0.762618i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −8.65161 | − | 0.756918i | −0.539673 | − | 0.0472152i | −0.185939 | − | 0.982561i | \(-0.559533\pi\) |
−0.353734 | + | 0.935346i | \(0.615088\pi\) | |||||||
\(258\) | 0.801022 | + | 10.9371i | 0.0498695 | + | 0.680916i | ||||
\(259\) | −1.27946 | + | 0.738699i | −0.0795020 | + | 0.0459005i | ||||
\(260\) | 5.24783 | + | 6.63400i | 0.325457 | + | 0.411423i | ||||
\(261\) | −0.703873 | − | 0.433405i | −0.0435687 | − | 0.0268271i | ||||
\(262\) | −0.190292 | − | 0.133244i | −0.0117563 | − | 0.00823185i | ||||
\(263\) | 9.58866 | − | 20.5630i | 0.591262 | − | 1.26797i | −0.352026 | − | 0.935990i | \(-0.614507\pi\) |
0.943288 | − | 0.331976i | \(-0.107715\pi\) | |||||||
\(264\) | −1.48455 | + | 1.21029i | −0.0913677 | + | 0.0744880i | ||||
\(265\) | 8.76397 | + | 5.40307i | 0.538366 | + | 0.331908i | ||||
\(266\) | −3.12844 | − | 0.0773071i | −0.191817 | − | 0.00474000i | ||||
\(267\) | 5.99667 | + | 8.82754i | 0.366990 | + | 0.540237i | ||||
\(268\) | 0.128666 | + | 1.47065i | 0.00785950 | + | 0.0898345i | ||||
\(269\) | −13.3881 | + | 4.87287i | −0.816286 | + | 0.297104i | −0.716218 | − | 0.697877i | \(-0.754128\pi\) |
−0.100068 | + | 0.994981i | \(0.531906\pi\) | |||||||
\(270\) | −11.4731 | − | 1.83520i | −0.698231 | − | 0.111686i | ||||
\(271\) | −4.11475 | + | 23.3359i | −0.249953 | + | 1.41756i | 0.558749 | + | 0.829337i | \(0.311282\pi\) |
−0.808702 | + | 0.588219i | \(0.799829\pi\) | |||||||
\(272\) | 1.49766 | + | 3.21175i | 0.0908093 | + | 0.194741i | ||||
\(273\) | 2.04813 | − | 4.23465i | 0.123959 | − | 0.256293i | ||||
\(274\) | 19.7519 | + | 11.4038i | 1.19326 | + | 0.688928i | ||||
\(275\) | 5.07798 | + | 2.18781i | 0.306213 | + | 0.131930i | ||||
\(276\) | −0.497335 | − | 0.890286i | −0.0299361 | − | 0.0535889i | ||||
\(277\) | 2.86967 | + | 10.7098i | 0.172422 | + | 0.643488i | 0.996976 | + | 0.0777050i | \(0.0247592\pi\) |
−0.824554 | + | 0.565783i | \(0.808574\pi\) | |||||||
\(278\) | −21.6456 | − | 5.79992i | −1.29822 | − | 0.347856i | ||||
\(279\) | 5.14113 | − | 5.78604i | 0.307792 | − | 0.346401i | ||||
\(280\) | 0.0936904 | + | 1.60261i | 0.00559907 | + | 0.0957741i | ||||
\(281\) | 4.66648 | − | 0.822826i | 0.278379 | − | 0.0490857i | −0.0327157 | − | 0.999465i | \(-0.510416\pi\) |
0.311094 | + | 0.950379i | \(0.399304\pi\) | |||||||
\(282\) | 4.35587 | − | 6.03708i | 0.259388 | − | 0.359503i | ||||
\(283\) | 1.96177 | + | 22.4232i | 0.116615 | + | 1.33292i | 0.798736 | + | 0.601681i | \(0.205502\pi\) |
−0.682121 | + | 0.731239i | \(0.738942\pi\) | |||||||
\(284\) | −14.2245 | −0.844072 | ||||||||
\(285\) | 6.83445 | − | 15.4367i | 0.404838 | − | 0.914388i | ||||
\(286\) | 4.18325 | 0.247361 | ||||||||
\(287\) | −0.504233 | − | 5.76341i | −0.0297639 | − | 0.340203i | ||||
\(288\) | 2.18053 | − | 2.06041i | 0.128489 | − | 0.121411i | ||||
\(289\) | 4.37417 | − | 0.771284i | 0.257304 | − | 0.0453696i | ||||
\(290\) | −0.460343 | − | 0.409491i | −0.0270323 | − | 0.0240462i | ||||
\(291\) | 23.7217 | + | 14.1472i | 1.39059 | + | 0.829325i | ||||
\(292\) | 2.44412 | + | 0.654901i | 0.143031 | + | 0.0383252i | ||||
\(293\) | −3.28178 | − | 12.2478i | −0.191724 | − | 0.715523i | −0.993091 | − | 0.117350i | \(-0.962560\pi\) |
0.801367 | − | 0.598173i | \(-0.204106\pi\) | |||||||
\(294\) | −9.80539 | + | 5.47753i | −0.571862 | + | 0.319456i | ||||
\(295\) | 13.0865 | + | 9.73810i | 0.761924 | + | 0.566974i | ||||
\(296\) | 1.78215 | + | 1.02893i | 0.103586 | + | 0.0598051i | ||||
\(297\) | −4.23200 | + | 3.88694i | −0.245565 | + | 0.225543i | ||||
\(298\) | 1.71867 | + | 3.68571i | 0.0995601 | + | 0.213507i | ||||
\(299\) | −0.386754 | + | 2.19339i | −0.0223666 | + | 0.126847i | ||||
\(300\) | −8.18252 | − | 2.83660i | −0.472418 | − | 0.163771i | ||||
\(301\) | 4.27143 | − | 1.55467i | 0.246201 | − | 0.0896098i | ||||
\(302\) | −0.0320817 | − | 0.366695i | −0.00184609 | − | 0.0211009i | ||||
\(303\) | 26.0524 | − | 17.6978i | 1.49667 | − | 1.01671i | ||||
\(304\) | 2.08553 | + | 3.82761i | 0.119613 | + | 0.219528i | ||||
\(305\) | 3.39015 | + | 14.2903i | 0.194119 | + | 0.818262i | ||||
\(306\) | 5.05286 | + | 9.35381i | 0.288853 | + | 0.534722i | ||||
\(307\) | −8.85828 | + | 18.9966i | −0.505569 | + | 1.08420i | 0.473524 | + | 0.880781i | \(0.342982\pi\) |
−0.979093 | + | 0.203415i | \(0.934796\pi\) | |||||||
\(308\) | 0.650342 | + | 0.455375i | 0.0370567 | + | 0.0259474i | ||||
\(309\) | 13.9867 | + | 5.31616i | 0.795673 | + | 0.302426i | ||||
\(310\) | 4.52463 | − | 3.57921i | 0.256982 | − | 0.203286i | ||||
\(311\) | 28.2510 | − | 16.3107i | 1.60197 | − | 0.924898i | 0.610877 | − | 0.791726i | \(-0.290817\pi\) |
0.991093 | − | 0.133172i | \(-0.0425163\pi\) | |||||||
\(312\) | −6.53458 | + | 0.478585i | −0.369948 | + | 0.0270946i | ||||
\(313\) | 29.7798 | + | 2.60540i | 1.68326 | + | 0.147266i | 0.888258 | − | 0.459345i | \(-0.151916\pi\) |
0.794999 | + | 0.606611i | \(0.207472\pi\) | |||||||
\(314\) | 14.7507 | − | 12.3773i | 0.832430 | − | 0.698492i | ||||
\(315\) | 0.563840 | + | 4.78291i | 0.0317688 | + | 0.269487i | ||||
\(316\) | 3.89822 | + | 6.75192i | 0.219292 | + | 0.379825i | ||||
\(317\) | −13.9544 | − | 29.9253i | −0.783756 | − | 1.68077i | −0.731211 | − | 0.682151i | \(-0.761045\pi\) |
−0.0525443 | − | 0.998619i | \(-0.516733\pi\) | |||||||
\(318\) | −7.27477 | + | 3.26770i | −0.407949 | + | 0.183244i | ||||
\(319\) | −0.300070 | + | 0.0529105i | −0.0168007 | + | 0.00296242i | ||||
\(320\) | 1.86794 | − | 1.22915i | 0.104421 | − | 0.0687113i | ||||
\(321\) | −5.70957 | + | 4.65475i | −0.318677 | + | 0.259803i | ||||
\(322\) | −0.298892 | + | 0.298892i | −0.0166566 | + | 0.0166566i | ||||
\(323\) | −15.0148 | + | 3.62816i | −0.835448 | + | 0.201876i | ||||
\(324\) | 6.16605 | − | 6.55590i | 0.342559 | − | 0.364216i | ||||
\(325\) | 9.93653 | + | 16.0939i | 0.551179 | + | 0.892730i | ||||
\(326\) | 4.51100 | + | 12.3939i | 0.249841 | + | 0.686433i | ||||
\(327\) | −9.60692 | − | 9.88288i | −0.531264 | − | 0.546524i | ||||
\(328\) | −6.60111 | + | 4.62214i | −0.364485 | + | 0.255215i | ||||
\(329\) | −2.89962 | − | 1.05538i | −0.159861 | − | 0.0581848i | ||||
\(330\) | −3.61079 | + | 2.30339i | −0.198767 | + | 0.126797i | ||||
\(331\) | 16.9227 | − | 29.3111i | 0.930158 | − | 1.61108i | 0.147111 | − | 0.989120i | \(-0.453003\pi\) |
0.783048 | − | 0.621962i | \(-0.213664\pi\) | |||||||
\(332\) | −6.42403 | − | 0.562030i | −0.352564 | − | 0.0308454i | ||||
\(333\) | 5.51903 | + | 2.76643i | 0.302441 | + | 0.151599i | ||||
\(334\) | 11.5523 | + | 6.66970i | 0.632111 | + | 0.364950i | ||||
\(335\) | −0.0952935 | + | 3.29967i | −0.00520644 | + | 0.180280i | ||||
\(336\) | −1.06799 | − | 0.636931i | −0.0582635 | − | 0.0347474i | ||||
\(337\) | 6.23652 | + | 8.90668i | 0.339725 | + | 0.485178i | 0.952270 | − | 0.305258i | \(-0.0987429\pi\) |
−0.612545 | + | 0.790436i | \(0.709854\pi\) | |||||||
\(338\) | 1.07305 | + | 0.751354i | 0.0583660 | + | 0.0408683i | ||||
\(339\) | −6.73229 | + | 1.08904i | −0.365648 | + | 0.0591486i | ||||
\(340\) | 2.49413 | + | 7.52138i | 0.135263 | + | 0.407904i | ||||
\(341\) | − | 2.85313i | − | 0.154505i | ||||||
\(342\) | 6.92224 | + | 11.0943i | 0.374312 | + | 0.599909i | ||||
\(343\) | 6.84550 | + | 6.84550i | 0.369622 | + | 0.369622i | ||||
\(344\) | −4.85018 | − | 4.06979i | −0.261504 | − | 0.219428i | ||||
\(345\) | −0.873903 | − | 2.10619i | −0.0470494 | − | 0.113394i | ||||
\(346\) | −1.73667 | − | 9.84915i | −0.0933640 | − | 0.529494i | ||||
\(347\) | 22.0531 | − | 15.4418i | 1.18387 | − | 0.828957i | 0.195455 | − | 0.980713i | \(-0.437382\pi\) |
0.988418 | + | 0.151756i | \(0.0484928\pi\) | |||||||
\(348\) | 0.462682 | − | 0.116980i | 0.0248024 | − | 0.00627080i | ||||
\(349\) | −17.9118 | + | 10.3414i | −0.958799 | + | 0.553563i | −0.895803 | − | 0.444451i | \(-0.853399\pi\) |
−0.0629960 | + | 0.998014i | \(0.520066\pi\) | |||||||
\(350\) | −0.207164 | + | 3.58368i | −0.0110734 | + | 0.191555i | ||||
\(351\) | −19.4851 | + | 2.58824i | −1.04004 | + | 0.138150i | ||||
\(352\) | 0.0963808 | − | 1.10164i | 0.00513711 | − | 0.0587175i | ||||
\(353\) | −6.73259 | − | 25.1264i | −0.358339 | − | 1.33734i | −0.876230 | − | 0.481894i | \(-0.839949\pi\) |
0.517890 | − | 0.855447i | \(-0.326718\pi\) | |||||||
\(354\) | −11.9333 | + | 4.15301i | −0.634249 | + | 0.220730i | ||||
\(355\) | −31.5928 | − | 3.68571i | −1.67677 | − | 0.195617i | ||||
\(356\) | −6.06772 | − | 1.06990i | −0.321588 | − | 0.0567047i | ||||
\(357\) | 3.15979 | − | 3.07156i | 0.167234 | − | 0.162564i | ||||
\(358\) | −18.8968 | − | 8.81173i | −0.998728 | − | 0.465715i | ||||
\(359\) | 8.05889 | + | 6.76221i | 0.425332 | + | 0.356896i | 0.830187 | − | 0.557485i | \(-0.188234\pi\) |
−0.404855 | + | 0.914381i | \(0.632678\pi\) | |||||||
\(360\) | 5.37684 | − | 4.01118i | 0.283384 | − | 0.211408i | ||||
\(361\) | −18.1533 | + | 5.60860i | −0.955439 | + | 0.295189i | ||||
\(362\) | 8.91001 | + | 8.91001i | 0.468300 | + | 0.468300i | ||||
\(363\) | 1.71463 | − | 16.8474i | 0.0899946 | − | 0.884260i | ||||
\(364\) | 0.928867 | + | 2.55204i | 0.0486859 | + | 0.133763i | ||||
\(365\) | 5.25872 | + | 2.08783i | 0.275254 | + | 0.109282i | ||||
\(366\) | −10.6342 | − | 4.04194i | −0.555859 | − | 0.211276i | ||||
\(367\) | 4.98350 | − | 2.32384i | 0.260137 | − | 0.121304i | −0.288175 | − | 0.957578i | \(-0.593049\pi\) |
0.548312 | + | 0.836274i | \(0.315271\pi\) | |||||||
\(368\) | 0.568708 | + | 0.152385i | 0.0296460 | + | 0.00794362i | ||||
\(369\) | −18.9520 | + | 15.0091i | −0.986600 | + | 0.781341i | ||||
\(370\) | 3.69157 | + | 2.74702i | 0.191915 | + | 0.142811i | ||||
\(371\) | 2.12481 | + | 2.53224i | 0.110314 | + | 0.131468i | ||||
\(372\) | 0.326412 | + | 4.45682i | 0.0169237 | + | 0.231076i | ||||
\(373\) | 3.22219 | − | 12.0254i | 0.166839 | − | 0.622651i | −0.830960 | − | 0.556333i | \(-0.812208\pi\) |
0.997799 | − | 0.0663185i | \(-0.0211253\pi\) | |||||||
\(374\) | 3.68253 | + | 1.34033i | 0.190419 | + | 0.0693069i | ||||
\(375\) | −17.4384 | − | 8.42027i | −0.900517 | − | 0.434821i | ||||
\(376\) | 0.746350 | + | 4.23276i | 0.0384901 | + | 0.218288i | ||||
\(377\) | −0.944652 | − | 0.440499i | −0.0486521 | − | 0.0226868i | ||||
\(378\) | −3.31097 | − | 1.71871i | −0.170298 | − | 0.0884009i | ||||
\(379\) | − | 14.3105i | − | 0.735079i | −0.930008 | − | 0.367539i | \(-0.880200\pi\) | ||
0.930008 | − | 0.367539i | \(-0.119800\pi\) | |||||||
\(380\) | 3.64020 | + | 9.04151i | 0.186739 | + | 0.463820i | ||||
\(381\) | −5.08070 | − | 0.970225i | −0.260292 | − | 0.0497061i | ||||
\(382\) | −10.8346 | + | 0.947902i | −0.554345 | + | 0.0484989i | ||||
\(383\) | 1.53385 | − | 3.28935i | 0.0783761 | − | 0.168078i | −0.863215 | − | 0.504836i | \(-0.831553\pi\) |
0.941591 | + | 0.336758i | \(0.109331\pi\) | |||||||
\(384\) | −0.0245219 | + | 1.73188i | −0.00125138 | + | 0.0883795i | ||||
\(385\) | 1.32642 | + | 1.17990i | 0.0676007 | + | 0.0601332i | ||||
\(386\) | 2.13962 | − | 5.87856i | 0.108904 | − | 0.299211i | ||||
\(387\) | −15.2446 | − | 11.3309i | −0.774927 | − | 0.575982i | ||||
\(388\) | −15.4030 | + | 4.12723i | −0.781970 | + | 0.209528i | ||||
\(389\) | −3.90590 | + | 3.27744i | −0.198037 | + | 0.166173i | −0.736414 | − | 0.676532i | \(-0.763482\pi\) |
0.538377 | + | 0.842704i | \(0.319038\pi\) | |||||||
\(390\) | −14.6373 | − | 0.630232i | −0.741191 | − | 0.0319131i | ||||
\(391\) | −1.04324 | + | 1.80694i | −0.0527587 | + | 0.0913807i | ||||
\(392\) | 1.67833 | − | 6.26362i | 0.0847685 | − | 0.316360i | ||||
\(393\) | 0.390088 | − | 0.0986263i | 0.0196773 | − | 0.00497504i | ||||
\(394\) | 15.2183 | + | 2.68339i | 0.766686 | + | 0.135187i | ||||
\(395\) | 6.90848 | + | 16.0061i | 0.347603 | + | 0.805354i | ||||
\(396\) | 0.0939280 | − | 3.31621i | 0.00472006 | − | 0.166646i | ||||
\(397\) | −2.60260 | + | 0.227698i | −0.130621 | + | 0.0114278i | −0.152279 | − | 0.988338i | \(-0.548661\pi\) |
0.0216578 | + | 0.999765i | \(0.493106\pi\) | |||||||
\(398\) | −10.0871 | + | 10.0871i | −0.505618 | + | 0.505618i | ||||
\(399\) | 3.64278 | − | 4.01366i | 0.182367 | − | 0.200934i | ||||
\(400\) | 4.46719 | − | 2.24594i | 0.223359 | − | 0.112297i | ||||
\(401\) | −15.8596 | + | 18.9008i | −0.791993 | + | 0.943860i | −0.999408 | − | 0.0343925i | \(-0.989050\pi\) |
0.207415 | + | 0.978253i | \(0.433495\pi\) | |||||||
\(402\) | −2.07358 | − | 1.49613i | −0.103421 | − | 0.0746202i | ||||
\(403\) | 5.59805 | − | 7.99484i | 0.278859 | − | 0.398252i | ||||
\(404\) | −3.15756 | + | 17.9074i | −0.157095 | + | 0.890928i | ||||
\(405\) | 15.3935 | − | 12.9630i | 0.764911 | − | 0.644136i | ||||
\(406\) | −0.0989078 | − | 0.171313i | −0.00490871 | − | 0.00850213i | ||||
\(407\) | 2.19813 | − | 0.588986i | 0.108957 | − | 0.0291950i | ||||
\(408\) | −5.90577 | − | 1.67241i | −0.292379 | − | 0.0827967i | ||||
\(409\) | 2.45393 | + | 2.92448i | 0.121339 | + | 0.144606i | 0.823294 | − | 0.567615i | \(-0.192134\pi\) |
−0.701955 | + | 0.712221i | \(0.747689\pi\) | |||||||
\(410\) | −15.8587 | + | 8.55540i | −0.783207 | + | 0.422521i | ||||
\(411\) | −37.3091 | + | 12.9842i | −1.84032 | + | 0.640464i | ||||
\(412\) | −7.82944 | + | 3.65093i | −0.385729 | + | 0.179868i | ||||
\(413\) | 3.00400 | + | 4.29016i | 0.147817 | + | 0.211105i | ||||
\(414\) | 1.73010 | + | 0.355843i | 0.0850295 | + | 0.0174887i | ||||
\(415\) | −14.1222 | − | 2.91280i | −0.693230 | − | 0.142984i | ||||
\(416\) | 2.43157 | − | 2.89783i | 0.119217 | − | 0.142078i | ||||
\(417\) | 32.1064 | − | 21.8103i | 1.57226 | − | 1.06806i | ||||
\(418\) | 4.62378 | + | 1.36222i | 0.226157 | + | 0.0666282i | ||||
\(419\) | −23.0215 | −1.12467 | −0.562336 | − | 0.826909i | \(-0.690097\pi\) | ||||
−0.562336 | + | 0.826909i | \(0.690097\pi\) | |||||||
\(420\) | −2.20697 | − | 1.69135i | −0.107689 | − | 0.0825295i | ||||
\(421\) | −33.7081 | + | 12.2687i | −1.64283 | + | 0.597941i | −0.987530 | − | 0.157428i | \(-0.949680\pi\) |
−0.655300 | + | 0.755369i | \(0.727458\pi\) | |||||||
\(422\) | 13.5282 | − | 19.3203i | 0.658543 | − | 0.940498i | ||||
\(423\) | 2.98329 | + | 12.5443i | 0.145053 | + | 0.609925i | ||||
\(424\) | 1.57478 | − | 4.32668i | 0.0764782 | − | 0.210122i | ||||
\(425\) | 3.59060 | + | 17.3513i | 0.174170 | + | 0.841660i | ||||
\(426\) | 16.1024 | − | 18.6474i | 0.780163 | − | 0.903471i | ||||
\(427\) | −0.410985 | + | 4.69758i | −0.0198889 | + | 0.227332i | ||||
\(428\) | 0.370680 | − | 4.23689i | 0.0179175 | − | 0.204798i | ||||
\(429\) | −4.73549 | + | 5.48395i | −0.228632 | + | 0.264768i | ||||
\(430\) | −9.71776 | − | 10.2957i | −0.468632 | − | 0.496505i | ||||
\(431\) | 3.22834 | − | 8.86979i | 0.155504 | − | 0.427243i | −0.837337 | − | 0.546687i | \(-0.815889\pi\) |
0.992841 | + | 0.119444i | \(0.0381112\pi\) | |||||||
\(432\) | 0.232668 | + | 5.19094i | 0.0111942 | + | 0.249749i | ||||
\(433\) | 8.71295 | − | 12.4434i | 0.418718 | − | 0.597991i | −0.553276 | − | 0.832998i | \(-0.686623\pi\) |
0.971994 | + | 0.235007i | \(0.0755114\pi\) | |||||||
\(434\) | 1.74059 | − | 0.633521i | 0.0835508 | − | 0.0304100i | ||||
\(435\) | 1.05793 | − | 0.139929i | 0.0507239 | − | 0.00670906i | ||||
\(436\) | 7.95747 | 0.381094 | ||||||||
\(437\) | −1.14173 | + | 2.29844i | −0.0546164 | + | 0.109949i | ||||
\(438\) | −3.62531 | + | 2.46272i | −0.173224 | + | 0.117673i | ||||
\(439\) | 6.98592 | − | 8.32549i | 0.333420 | − | 0.397354i | −0.573122 | − | 0.819470i | \(-0.694268\pi\) |
0.906542 | + | 0.422116i | \(0.138712\pi\) | |||||||
\(440\) | 0.499507 | − | 2.42177i | 0.0238130 | − | 0.115453i | ||||
\(441\) | 3.91917 | − | 19.0549i | 0.186627 | − | 0.907374i | ||||
\(442\) | 7.68912 | + | 10.9812i | 0.365734 | + | 0.522322i | ||||
\(443\) | −30.5296 | + | 14.2362i | −1.45051 | + | 0.676382i | −0.978695 | − | 0.205318i | \(-0.934177\pi\) |
−0.471810 | + | 0.881700i | \(0.656399\pi\) | |||||||
\(444\) | −3.36628 | + | 1.17152i | −0.159756 | + | 0.0555980i | ||||
\(445\) | −13.1992 | − | 3.94846i | −0.625702 | − | 0.187175i | ||||
\(446\) | −14.3376 | − | 17.0868i | −0.678903 | − | 0.809085i | ||||
\(447\) | −6.77728 | − | 1.91921i | −0.320554 | − | 0.0907754i | ||||
\(448\) | 0.693469 | − | 0.185814i | 0.0327633 | − | 0.00877890i | ||||
\(449\) | 13.4643 | + | 23.3209i | 0.635420 | + | 1.10058i | 0.986426 | + | 0.164206i | \(0.0525062\pi\) |
−0.351006 | + | 0.936373i | \(0.614160\pi\) | |||||||
\(450\) | 12.9813 | − | 7.51567i | 0.611945 | − | 0.354292i | ||||
\(451\) | −1.54745 | + | 8.77603i | −0.0728666 | + | 0.413247i | ||||
\(452\) | 2.25841 | − | 3.22534i | 0.106227 | − | 0.151707i | ||||
\(453\) | 0.517029 | + | 0.373047i | 0.0242922 | + | 0.0175273i | ||||
\(454\) | 4.48657 | − | 5.34689i | 0.210565 | − | 0.250942i | ||||
\(455\) | 1.40176 | + | 5.90878i | 0.0657156 | + | 0.277008i | ||||
\(456\) | −7.37858 | − | 1.59891i | −0.345534 | − | 0.0748760i | ||||
\(457\) | 11.6557 | − | 11.6557i | 0.545231 | − | 0.545231i | −0.379826 | − | 0.925058i | \(-0.624016\pi\) |
0.925058 | + | 0.379826i | \(0.124016\pi\) | |||||||
\(458\) | 19.4121 | − | 1.69834i | 0.907069 | − | 0.0793582i | ||||
\(459\) | −17.9821 | − | 3.96469i | −0.839334 | − | 0.185056i | ||||
\(460\) | 1.22362 | + | 0.485805i | 0.0570516 | + | 0.0226508i | ||||
\(461\) | 15.3026 | + | 2.69826i | 0.712713 | + | 0.125670i | 0.518237 | − | 0.855237i | \(-0.326588\pi\) |
0.194475 | + | 0.980907i | \(0.437700\pi\) | |||||||
\(462\) | −1.33316 | + | 0.337064i | −0.0620243 | + | 0.0156817i | ||||
\(463\) | 3.63665 | − | 13.5722i | 0.169009 | − | 0.630752i | −0.828485 | − | 0.560011i | \(-0.810797\pi\) |
0.997495 | − | 0.0707410i | \(-0.0225364\pi\) | |||||||
\(464\) | −0.137768 | + | 0.238621i | −0.00639570 | + | 0.0110777i | ||||
\(465\) | −0.429841 | + | 9.98320i | −0.0199334 | + | 0.462960i | ||||
\(466\) | 10.1130 | − | 8.48582i | 0.468476 | − | 0.393098i | ||||
\(467\) | 24.2634 | − | 6.50137i | 1.12278 | − | 0.300847i | 0.350771 | − | 0.936461i | \(-0.385920\pi\) |
0.772007 | + | 0.635614i | \(0.219253\pi\) | |||||||
\(468\) | 6.76985 | − | 9.10816i | 0.312936 | − | 0.421025i | ||||
\(469\) | −0.362494 | + | 0.995945i | −0.0167384 | + | 0.0459885i | ||||
\(470\) | 0.560899 | + | 9.59437i | 0.0258723 | + | 0.442555i | ||||
\(471\) | −0.472185 | + | 33.3485i | −0.0217571 | + | 1.53662i | ||||
\(472\) | 3.08301 | − | 6.61153i | 0.141907 | − | 0.304320i | ||||
\(473\) | −6.97498 | + | 0.610231i | −0.320710 | + | 0.0280585i | ||||
\(474\) | −13.2641 | − | 2.53296i | −0.609242 | − | 0.116343i | ||||
\(475\) | 5.74217 | + | 21.0244i | 0.263469 | + | 0.964668i | ||||
\(476\) | 2.54419i | 0.116613i | ||||||||
\(477\) | 3.95141 | − | 13.2358i | 0.180923 | − | 0.606027i | ||||
\(478\) | −24.8762 | − | 11.6000i | −1.13781 | − | 0.530570i | ||||
\(479\) | 1.02271 | + | 5.80008i | 0.0467288 | + | 0.265012i | 0.999217 | − | 0.0395630i | \(-0.0125966\pi\) |
−0.952488 | + | 0.304575i | \(0.901485\pi\) | |||||||
\(480\) | −0.503209 | + | 3.84015i | −0.0229682 | + | 0.175278i | ||||
\(481\) | 7.31508 | + | 2.66247i | 0.333539 | + | 0.121398i | ||||
\(482\) | −2.29341 | + | 8.55911i | −0.104462 | + | 0.389857i | ||||
\(483\) | −0.0534773 | − | 0.730177i | −0.00243330 | − | 0.0332242i | ||||
\(484\) | 6.28460 | + | 7.48970i | 0.285664 | + | 0.340441i | ||||
\(485\) | −35.2796 | + | 5.17552i | −1.60196 | + | 0.235008i | ||||
\(486\) | 1.61428 | + | 15.5046i | 0.0732252 | + | 0.703305i | ||||
\(487\) | −18.7609 | − | 5.02697i | −0.850138 | − | 0.227794i | −0.192658 | − | 0.981266i | \(-0.561711\pi\) |
−0.657480 | + | 0.753472i | \(0.728377\pi\) | |||||||
\(488\) | 5.95281 | − | 2.77584i | 0.269471 | − | 0.125656i | ||||
\(489\) | −21.3540 | − | 8.11642i | −0.965663 | − | 0.367037i | ||||
\(490\) | 5.35054 | − | 13.4767i | 0.241713 | − | 0.608813i | ||||
\(491\) | 7.54624 | + | 20.7331i | 0.340557 | + | 0.935672i | 0.985233 | + | 0.171217i | \(0.0547699\pi\) |
−0.644676 | + | 0.764456i | \(0.723008\pi\) | |||||||
\(492\) | 1.41323 | − | 13.8859i | 0.0637131 | − | 0.626026i | ||||
\(493\) | −0.690444 | − | 0.690444i | −0.0310960 | − | 0.0310960i | ||||
\(494\) | 10.2837 | + | 12.8893i | 0.462685 | + | 0.579918i | ||||
\(495\) | 1.06787 | − | 7.34097i | 0.0479974 | − | 0.329952i | ||||
\(496\) | −1.97643 | − | 1.65842i | −0.0887441 | − | 0.0744652i | ||||
\(497\) | −9.25544 | − | 4.31588i | −0.415163 | − | 0.193594i | ||||
\(498\) | 8.00887 | − | 7.78524i | 0.358886 | − | 0.348865i | ||||
\(499\) | −0.720284 | − | 0.127005i | −0.0322443 | − | 0.00568554i | 0.157503 | − | 0.987519i | \(-0.449656\pi\) |
−0.189747 | + | 0.981833i | \(0.560767\pi\) | |||||||
\(500\) | 10.5036 | − | 3.83074i | 0.469735 | − | 0.171316i | ||||
\(501\) | −21.8208 | + | 7.59404i | −0.974883 | + | 0.339277i | ||||
\(502\) | −5.44257 | − | 20.3120i | −0.242914 | − | 0.906567i | ||||
\(503\) | 1.31486 | − | 15.0289i | 0.0586267 | − | 0.670106i | −0.908846 | − | 0.417131i | \(-0.863035\pi\) |
0.967473 | − | 0.252975i | \(-0.0814090\pi\) | |||||||
\(504\) | 2.04395 | − | 0.679044i | 0.0910448 | − | 0.0302470i | ||||
\(505\) | −11.6529 | + | 38.9543i | −0.518549 | + | 1.73345i | ||||
\(506\) | 0.563859 | − | 0.325544i | 0.0250666 | − | 0.0144722i | ||||
\(507\) | −2.19968 | + | 0.556146i | −0.0976911 | + | 0.0246993i | ||||
\(508\) | 2.44627 | − | 1.71290i | 0.108536 | − | 0.0759976i | ||||
\(509\) | −2.87174 | − | 16.2864i | −0.127287 | − | 0.721883i | −0.979923 | − | 0.199377i | \(-0.936108\pi\) |
0.852635 | − | 0.522506i | \(-0.175003\pi\) | |||||||
\(510\) | −12.6834 | − | 5.24467i | −0.561630 | − | 0.232238i | ||||
\(511\) | 1.39161 | + | 1.16770i | 0.0615610 | + | 0.0516558i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −22.3799 | − | 3.48426i | −0.988097 | − | 0.153834i | ||||
\(514\) | 8.68466i | 0.383064i | ||||||||
\(515\) | −18.3352 | + | 6.08004i | −0.807946 | + | 0.267919i | ||||
\(516\) | 10.8257 | − | 1.75121i | 0.476575 | − | 0.0770926i | ||||
\(517\) | 3.89342 | + | 2.72620i | 0.171232 | + | 0.119898i | ||||
\(518\) | 0.847401 | + | 1.21021i | 0.0372326 | + | 0.0531737i | ||||
\(519\) | 14.8775 | + | 8.87272i | 0.653050 | + | 0.389469i | ||||
\(520\) | 6.15138 | − | 5.80605i | 0.269756 | − | 0.254612i | ||||
\(521\) | −9.32794 | − | 5.38549i | −0.408665 | − | 0.235943i | 0.281551 | − | 0.959546i | \(-0.409151\pi\) |
−0.690216 | + | 0.723604i | \(0.742484\pi\) | |||||||
\(522\) | −0.370409 | + | 0.738968i | −0.0162124 | + | 0.0323438i | ||||
\(523\) | −12.5328 | − | 1.09648i | −0.548020 | − | 0.0479456i | −0.190216 | − | 0.981742i | \(-0.560919\pi\) |
−0.357804 | + | 0.933797i | \(0.616474\pi\) | |||||||
\(524\) | −0.116152 | + | 0.201181i | −0.00507413 | + | 0.00878865i | ||||
\(525\) | −4.46344 | − | 4.32835i | −0.194801 | − | 0.188905i | ||||
\(526\) | −21.3204 | − | 7.76000i | −0.929614 | − | 0.338352i | ||||
\(527\) | 7.48958 | − | 5.24426i | 0.326251 | − | 0.228444i | ||||
\(528\) | 1.33507 | + | 1.37342i | 0.0581014 | + | 0.0597703i | ||||
\(529\) | −7.74790 | − | 21.2872i | −0.336865 | − | 0.925530i | ||||
\(530\) | 4.61868 | − | 9.20153i | 0.200623 | − | 0.399689i | ||||
\(531\) | 8.06438 | − | 20.3450i | 0.349964 | − | 0.882900i | ||||
\(532\) | 0.195648 | + | 3.12327i | 0.00848243 | + | 0.135411i | ||||
\(533\) | −21.5554 | + | 21.5554i | −0.933668 | + | 0.933668i | ||||
\(534\) | 8.27131 | − | 6.74322i | 0.357935 | − | 0.291808i | ||||
\(535\) | 1.92110 | − | 9.31411i | 0.0830564 | − | 0.402684i | ||||
\(536\) | 1.45384 | − | 0.256352i | 0.0627965 | − | 0.0110727i | ||||
\(537\) | 32.9431 | − | 14.7975i | 1.42160 | − | 0.638557i | ||||
\(538\) | 6.02117 | + | 12.9124i | 0.259591 | + | 0.556695i | ||||
\(539\) | −3.58547 | − | 6.21021i | −0.154437 | − | 0.267493i | ||||
\(540\) | −0.828265 | + | 11.5894i | −0.0356429 | + | 0.498728i | ||||
\(541\) | 15.3098 | − | 12.8465i | 0.658220 | − | 0.552312i | −0.251332 | − | 0.967901i | \(-0.580869\pi\) |
0.909553 | + | 0.415588i | \(0.136424\pi\) | |||||||
\(542\) | 23.6057 | + | 2.06523i | 1.01395 | + | 0.0887094i | ||||
\(543\) | −21.7667 | + | 1.59417i | −0.934098 | + | 0.0684122i | ||||
\(544\) | 3.06900 | − | 1.77189i | 0.131582 | − | 0.0759691i | ||||
\(545\) | 17.6736 | + | 2.06186i | 0.757053 | + | 0.0883202i | ||||
\(546\) | −4.39705 | − | 1.67127i | −0.188176 | − | 0.0715235i | ||||
\(547\) | 5.47759 | + | 3.83545i | 0.234205 | + | 0.163992i | 0.684788 | − | 0.728743i | \(-0.259895\pi\) |
−0.450583 | + | 0.892735i | \(0.648784\pi\) | |||||||
\(548\) | 9.63889 | − | 20.6707i | 0.411753 | − | 0.883007i | ||||
\(549\) | 17.3368 | − | 9.36521i | 0.739916 | − | 0.399697i | ||||
\(550\) | 1.73691 | − | 5.24933i | 0.0740621 | − | 0.223832i | ||||
\(551\) | −0.900691 | − | 0.794500i | −0.0383707 | − | 0.0338469i | ||||
\(552\) | −0.843552 | + | 0.573036i | −0.0359040 | + | 0.0243901i | ||||
\(553\) | 0.487838 | + | 5.57601i | 0.0207450 | + | 0.237116i | ||||
\(554\) | 10.4189 | − | 3.79217i | 0.442657 | − | 0.161114i | ||||
\(555\) | −7.78007 | + | 1.72973i | −0.330245 | + | 0.0734227i | ||||
\(556\) | −3.89131 | + | 22.0687i | −0.165028 | + | 0.935923i | ||||
\(557\) | 5.19748 | + | 11.1460i | 0.220224 | + | 0.472273i | 0.985117 | − | 0.171885i | \(-0.0549858\pi\) |
−0.764893 | + | 0.644158i | \(0.777208\pi\) | |||||||
\(558\) | −6.21210 | − | 4.61728i | −0.262979 | − | 0.195465i | ||||
\(559\) | −20.7422 | − | 11.9755i | −0.877300 | − | 0.506509i | ||||
\(560\) | 1.58834 | − | 0.233010i | 0.0671198 | − | 0.00984648i | ||||
\(561\) | −5.92576 | + | 3.31028i | −0.250186 | + | 0.139760i | ||||
\(562\) | −1.22641 | − | 4.57701i | −0.0517328 | − | 0.193069i | ||||
\(563\) | −21.7141 | − | 5.81826i | −0.915138 | − | 0.245211i | −0.229632 | − | 0.973277i | \(-0.573752\pi\) |
−0.685506 | + | 0.728067i | \(0.740419\pi\) | |||||||
\(564\) | −6.39374 | − | 3.81313i | −0.269225 | − | 0.160562i | ||||
\(565\) | 5.85165 | − | 6.57832i | 0.246181 | − | 0.276752i | ||||
\(566\) | 22.1669 | − | 3.90862i | 0.931744 | − | 0.164292i | ||||
\(567\) | 6.00118 | − | 2.39486i | 0.252026 | − | 0.100575i | ||||
\(568\) | 1.23975 | + | 14.1704i | 0.0520188 | + | 0.594578i | ||||
\(569\) | −16.3464 | −0.685277 | −0.342638 | − | 0.939467i | \(-0.611321\pi\) | ||||
−0.342638 | + | 0.939467i | \(0.611321\pi\) | |||||||
\(570\) | −15.9736 | − | 5.46305i | −0.669059 | − | 0.228822i | ||||
\(571\) | 28.7574 | 1.20346 | 0.601730 | − | 0.798699i | \(-0.294478\pi\) | ||||
0.601730 | + | 0.798699i | \(0.294478\pi\) | |||||||
\(572\) | −0.364594 | − | 4.16733i | −0.0152444 | − | 0.174245i | ||||
\(573\) | 11.0223 | − | 15.2764i | 0.460461 | − | 0.638182i | ||||
\(574\) | −5.69753 | + | 1.00463i | −0.237810 | + | 0.0419324i | ||||
\(575\) | 2.59179 | + | 1.39603i | 0.108085 | + | 0.0582184i | ||||
\(576\) | −2.24262 | − | 1.99266i | −0.0934423 | − | 0.0830273i | ||||
\(577\) | 12.2361 | + | 3.27866i | 0.509396 | + | 0.136492i | 0.504358 | − | 0.863495i | \(-0.331729\pi\) |
0.00503896 | + | 0.999987i | \(0.498396\pi\) | |||||||
\(578\) | −1.14958 | − | 4.29030i | −0.0478163 | − | 0.178453i | ||||
\(579\) | 5.28431 | + | 9.45951i | 0.219609 | + | 0.393124i | ||||
\(580\) | −0.367812 | + | 0.494281i | −0.0152725 | + | 0.0205239i | ||||
\(581\) | −4.00938 | − | 2.31481i | −0.166337 | − | 0.0960347i | ||||
\(582\) | 12.0259 | − | 24.8644i | 0.498490 | − | 1.03066i | ||||
\(583\) | −2.15185 | − | 4.61465i | −0.0891204 | − | 0.191119i | ||||
\(584\) | 0.439389 | − | 2.49190i | 0.0181821 | − | 0.103116i | ||||
\(585\) | 17.3959 | − | 18.4751i | 0.719231 | − | 0.763853i | ||||
\(586\) | −11.9151 | + | 4.33676i | −0.492210 | + | 0.179150i | ||||
\(587\) | 0.584936 | + | 6.68585i | 0.0241429 | + | 0.275955i | 0.998665 | + | 0.0516615i | \(0.0164517\pi\) |
−0.974522 | + | 0.224293i | \(0.927993\pi\) | |||||||
\(588\) | 6.31129 | + | 9.29068i | 0.260273 | + | 0.383141i | ||||
\(589\) | 8.79099 | − | 7.01385i | 0.362226 | − | 0.289001i | ||||
\(590\) | 8.56048 | − | 13.8854i | 0.352429 | − | 0.571653i | ||||
\(591\) | −20.7451 | + | 16.9125i | −0.853338 | + | 0.695688i | ||||
\(592\) | 0.869686 | − | 1.86505i | 0.0357439 | − | 0.0766530i | ||||
\(593\) | −13.7990 | − | 9.66215i | −0.566656 | − | 0.396777i | 0.254846 | − | 0.966982i | \(-0.417975\pi\) |
−0.821503 | + | 0.570204i | \(0.806864\pi\) | |||||||
\(594\) | 4.24099 | + | 3.87713i | 0.174010 | + | 0.159080i | ||||
\(595\) | −0.659223 | + | 5.65066i | −0.0270255 | + | 0.231654i | ||||
\(596\) | 3.52189 | − | 2.03337i | 0.144262 | − | 0.0832899i | ||||
\(597\) | −1.80476 | − | 24.6421i | −0.0738640 | − | 1.00854i | ||||
\(598\) | 2.21875 | + | 0.194116i | 0.0907316 | + | 0.00793799i | ||||
\(599\) | −14.4023 | + | 12.0850i | −0.588462 | + | 0.493778i | −0.887714 | − | 0.460396i | \(-0.847707\pi\) |
0.299252 | + | 0.954174i | \(0.403263\pi\) | |||||||
\(600\) | −2.11265 | + | 8.39861i | −0.0862485 | + | 0.342872i | ||||
\(601\) | −15.5189 | − | 26.8795i | −0.633028 | − | 1.09644i | −0.986929 | − | 0.161154i | \(-0.948478\pi\) |
0.353901 | − | 0.935283i | \(-0.384855\pi\) | |||||||
\(602\) | −1.92104 | − | 4.11968i | −0.0782956 | − | 0.167905i | ||||
\(603\) | 4.30865 | − | 1.02468i | 0.175462 | − | 0.0417284i | ||||
\(604\) | −0.362504 | + | 0.0639192i | −0.0147501 | + | 0.00260083i | ||||
\(605\) | 12.0175 | + | 18.2631i | 0.488580 | + | 0.742499i | ||||
\(606\) | −19.9010 | − | 24.4108i | −0.808424 | − | 0.991622i | ||||
\(607\) | 13.2298 | − | 13.2298i | 0.536981 | − | 0.536981i | −0.385660 | − | 0.922641i | \(-0.626026\pi\) |
0.922641 | + | 0.385660i | \(0.126026\pi\) | |||||||
\(608\) | 3.63127 | − | 2.41119i | 0.147268 | − | 0.0977868i | ||||
\(609\) | 0.336545 | + | 0.0642676i | 0.0136375 | + | 0.00260426i | ||||
\(610\) | 13.9405 | − | 4.62273i | 0.564433 | − | 0.187169i | ||||
\(611\) | 5.56087 | + | 15.2784i | 0.224969 | + | 0.618097i | ||||
\(612\) | 8.87783 | − | 5.84887i | 0.358865 | − | 0.236427i | ||||
\(613\) | −37.3639 | + | 26.1625i | −1.50911 | + | 1.05669i | −0.531307 | + | 0.847179i | \(0.678299\pi\) |
−0.977806 | + | 0.209513i | \(0.932812\pi\) | |||||||
\(614\) | 19.6964 | + | 7.16890i | 0.794882 | + | 0.289313i | ||||
\(615\) | 6.73676 | − | 30.4746i | 0.271652 | − | 1.22885i | ||||
\(616\) | 0.396961 | − | 0.687556i | 0.0159940 | − | 0.0277024i | ||||
\(617\) | 44.6456 | + | 3.90598i | 1.79736 | + | 0.157249i | 0.936289 | − | 0.351231i | \(-0.114237\pi\) |
0.861074 | + | 0.508480i | \(0.169792\pi\) | |||||||
\(618\) | 4.07691 | − | 14.3968i | 0.163998 | − | 0.579123i | ||||
\(619\) | 37.3904 | + | 21.5873i | 1.50285 | + | 0.867669i | 0.999995 | + | 0.00329571i | \(0.00104906\pi\) |
0.502851 | + | 0.864373i | \(0.332284\pi\) | |||||||
\(620\) | −3.95994 | − | 4.19546i | −0.159035 | − | 0.168494i | ||||
\(621\) | −2.42498 | + | 1.86522i | −0.0973110 | + | 0.0748487i | ||||
\(622\) | −18.7109 | − | 26.7220i | −0.750240 | − | 1.07145i | ||||
\(623\) | −3.62344 | − | 2.53716i | −0.145170 | − | 0.101649i | ||||
\(624\) | 1.04629 | + | 6.46801i | 0.0418851 | + | 0.258928i | ||||
\(625\) | 24.3211 | − | 5.78652i | 0.972844 | − | 0.231461i | ||||
\(626\) | − | 29.8936i | − | 1.19479i | ||||||
\(627\) | −7.01996 | + | 4.51942i | −0.280350 | + | 0.180488i | ||||
\(628\) | −13.6158 | − | 13.6158i | −0.543330 | − | 0.543330i | ||||
\(629\) | 5.58643 | + | 4.68758i | 0.222746 | + | 0.186906i | ||||
\(630\) | 4.71557 | − | 0.978553i | 0.187873 | − | 0.0389865i | ||||
\(631\) | 7.77683 | + | 44.1046i | 0.309591 | + | 1.75578i | 0.601067 | + | 0.799199i | \(0.294743\pi\) |
−0.291476 | + | 0.956578i | \(0.594146\pi\) | |||||||
\(632\) | 6.38647 | − | 4.47185i | 0.254040 | − | 0.177881i | ||||
\(633\) | 10.0135 | + | 39.6054i | 0.398000 | + | 1.57417i | ||||
\(634\) | −28.5952 | + | 16.5094i | −1.13566 | + | 0.655673i | ||||
\(635\) | 5.87702 | − | 3.17051i | 0.233222 | − | 0.125818i | ||||
\(636\) | 3.88931 | + | 6.96229i | 0.154221 | + | 0.276073i | ||||
\(637\) | 2.13794 | − | 24.4368i | 0.0847085 | − | 0.968222i | ||||
\(638\) | 0.0788620 | + | 0.294317i | 0.00312218 | + | 0.0116521i | ||||
\(639\) | 6.21738 | + | 42.2183i | 0.245956 | + | 1.67013i | ||||
\(640\) | −1.38727 | − | 1.75371i | −0.0548366 | − | 0.0693213i | ||||
\(641\) | −34.4812 | − | 6.07997i | −1.36193 | − | 0.240144i | −0.555518 | − | 0.831504i | \(-0.687480\pi\) |
−0.806408 | + | 0.591360i | \(0.798591\pi\) | |||||||
\(642\) | 5.13466 | + | 5.28216i | 0.202649 | + | 0.208470i | ||||
\(643\) | −0.747835 | − | 0.348721i | −0.0294917 | − | 0.0137522i | 0.407816 | − | 0.913064i | \(-0.366290\pi\) |
−0.437308 | + | 0.899312i | \(0.644068\pi\) | |||||||
\(644\) | 0.323805 | + | 0.271704i | 0.0127597 | + | 0.0107066i | ||||
\(645\) | 24.4977 | − | 1.08440i | 0.964595 | − | 0.0426982i | ||||
\(646\) | 4.92298 | + | 14.6415i | 0.193692 | + | 0.576061i | ||||
\(647\) | −10.4313 | − | 10.4313i | −0.410098 | − | 0.410098i | 0.471674 | − | 0.881773i | \(-0.343650\pi\) |
−0.881773 | + | 0.471674i | \(0.843650\pi\) | |||||||
\(648\) | −7.06836 | − | 5.57121i | −0.277671 | − | 0.218858i | ||||
\(649\) | −2.75913 | − | 7.58065i | −0.108305 | − | 0.297566i | ||||
\(650\) | 15.1666 | − | 11.3014i | 0.594885 | − | 0.443277i | ||||
\(651\) | −1.13986 | + | 2.99895i | −0.0446748 | + | 0.117538i | ||||
\(652\) | 11.9535 | − | 5.57403i | 0.468137 | − | 0.218296i | ||||
\(653\) | −29.6951 | − | 7.95678i | −1.16206 | − | 0.311373i | −0.374272 | − | 0.927319i | \(-0.622107\pi\) |
−0.787788 | + | 0.615946i | \(0.788774\pi\) | |||||||
\(654\) | −9.00797 | + | 10.4317i | −0.352240 | + | 0.407912i | ||||
\(655\) | −0.310102 | + | 0.416729i | −0.0121167 | + | 0.0162829i | ||||
\(656\) | 5.17988 | + | 6.17314i | 0.202240 | + | 0.241021i | ||||
\(657\) | 0.875440 | − | 7.54038i | 0.0341542 | − | 0.294178i | ||||
\(658\) | −0.798641 | + | 2.98057i | −0.0311343 | + | 0.116195i | ||||
\(659\) | −1.51837 | − | 0.552642i | −0.0591473 | − | 0.0215279i | 0.312277 | − | 0.949991i | \(-0.398908\pi\) |
−0.371424 | + | 0.928463i | \(0.621130\pi\) | |||||||
\(660\) | 2.60933 | + | 3.39630i | 0.101568 | + | 0.132201i | ||||
\(661\) | −8.75708 | − | 49.6638i | −0.340611 | − | 1.93170i | −0.362608 | − | 0.931942i | \(-0.618114\pi\) |
0.0219974 | − | 0.999758i | \(-0.492997\pi\) | |||||||
\(662\) | −30.6744 | − | 14.3037i | −1.19220 | − | 0.555930i | ||||
\(663\) | −23.0998 | − | 2.35096i | −0.897122 | − | 0.0913036i | ||||
\(664\) | 6.44857i | 0.250253i | ||||||||
\(665\) | −0.374733 | + | 6.98749i | −0.0145315 | + | 0.270963i | ||||
\(666\) | 2.27488 | − | 5.73914i | 0.0881500 | − | 0.222387i | ||||
\(667\) | −0.161610 | + | 0.0141390i | −0.00625755 | + | 0.000547465i | ||||
\(668\) | 5.63747 | − | 12.0896i | 0.218120 | − | 0.467761i | ||||
\(669\) | 38.6300 | + | 0.546967i | 1.49352 | + | 0.0211470i | ||||
\(670\) | 3.29542 | − | 0.192654i | 0.127313 | − | 0.00744288i | ||||
\(671\) | 2.48423 | − | 6.82538i | 0.0959028 | − | 0.263491i | ||||
\(672\) | −0.541426 | + | 1.11944i | −0.0208860 | + | 0.0431831i | ||||
\(673\) | −18.6813 | + | 5.00563i | −0.720109 | + | 0.192953i | −0.600220 | − | 0.799835i | \(-0.704921\pi\) |
−0.119889 | + | 0.992787i | \(0.538254\pi\) | |||||||
\(674\) | 8.32924 | − | 6.98906i | 0.320830 | − | 0.269208i | ||||
\(675\) | −4.84250 | + | 25.5255i | −0.186388 | + | 0.982476i | ||||
\(676\) | 0.654973 | − | 1.13445i | 0.0251913 | − | 0.0436326i | ||||
\(677\) | −0.412540 | + | 1.53962i | −0.0158552 | + | 0.0591724i | −0.973400 | − | 0.229111i | \(-0.926418\pi\) |
0.957545 | + | 0.288284i | \(0.0930846\pi\) | |||||||
\(678\) | 1.67166 | + | 6.61175i | 0.0641995 | + | 0.253923i | ||||
\(679\) | −11.2745 | − | 1.98800i | −0.432675 | − | 0.0762923i | ||||
\(680\) | 7.27538 | − | 3.14017i | 0.278998 | − | 0.120420i | ||||
\(681\) | 1.93055 | + | 11.9343i | 0.0739787 | + | 0.457325i | ||||
\(682\) | −2.84227 | + | 0.248666i | −0.108836 | + | 0.00952192i | ||||
\(683\) | −13.4128 | + | 13.4128i | −0.513226 | + | 0.513226i | −0.915513 | − | 0.402287i | \(-0.868215\pi\) |
0.402287 | + | 0.915513i | \(0.368215\pi\) | |||||||
\(684\) | 10.4487 | − | 7.86283i | 0.399517 | − | 0.300643i | ||||
\(685\) | 26.7640 | − | 43.4121i | 1.02260 | − | 1.65869i | ||||
\(686\) | 6.22283 | − | 7.41608i | 0.237589 | − | 0.283147i | ||||
\(687\) | −19.7484 | + | 27.3705i | −0.753448 | + | 1.04425i | ||||
\(688\) | −3.63158 | + | 5.18643i | −0.138453 | + | 0.197731i | ||||
\(689\) | 3.02453 | − | 17.1530i | 0.115225 | − | 0.653476i | ||||
\(690\) | −2.02201 | + | 1.05414i | −0.0769767 | + | 0.0401306i | ||||
\(691\) | −11.8699 | − | 20.5593i | −0.451553 | − | 0.782113i | 0.546930 | − | 0.837179i | \(-0.315797\pi\) |
−0.998483 | + | 0.0550656i | \(0.982463\pi\) | |||||||
\(692\) | −9.66031 | + | 2.58847i | −0.367230 | + | 0.0983990i | ||||
\(693\) | 1.06729 | − | 2.12925i | 0.0405430 | − | 0.0808834i | ||||
\(694\) | −17.3050 | − | 20.6234i | −0.656891 | − | 0.782852i | ||||
\(695\) | −14.3608 | + | 48.0065i | −0.544738 | + | 1.82099i | ||||
\(696\) | −0.156861 | − | 0.450726i | −0.00594579 | − | 0.0170847i | ||||
\(697\) | −25.8818 | + | 12.0689i | −0.980343 | + | 0.457141i | ||||
\(698\) | 11.8632 | + | 16.9424i | 0.449028 | + | 0.641278i | ||||
\(699\) | −0.323728 | + | 22.8635i | −0.0122445 | + | 0.864778i | ||||
\(700\) | 3.58809 | − | 0.105962i | 0.135617 | − | 0.00400500i | ||||
\(701\) | 6.75387 | − | 8.04895i | 0.255090 | − | 0.304005i | −0.623267 | − | 0.782009i | \(-0.714195\pi\) |
0.878358 | + | 0.478004i | \(0.158640\pi\) | |||||||
\(702\) | 4.27663 | + | 19.1854i | 0.161411 | + | 0.724106i | ||||
\(703\) | 7.21843 | + | 5.32491i | 0.272248 | + | 0.200833i | ||||
\(704\) | −1.10585 | −0.0416781 | ||||||||
\(705\) | −13.2125 | − | 10.1257i | −0.497612 | − | 0.381355i | ||||
\(706\) | −24.4440 | + | 8.89687i | −0.919960 | + | 0.334838i | ||||
\(707\) | −7.48783 | + | 10.6937i | −0.281609 | + | 0.402179i | ||||
\(708\) | 5.17726 | + | 11.5260i | 0.194573 | + | 0.433172i | ||||
\(709\) | −13.7403 | + | 37.7512i | −0.516029 | + | 1.41778i | 0.358832 | + | 0.933402i | \(0.383175\pi\) |
−0.874861 | + | 0.484375i | \(0.839047\pi\) | |||||||
\(710\) | −0.918196 | + | 31.7938i | −0.0344593 | + | 1.19320i | ||||
\(711\) | 18.3357 | − | 14.5211i | 0.687644 | − | 0.544582i | ||||
\(712\) | −0.536994 | + | 6.13787i | −0.0201247 | + | 0.230027i | ||||
\(713\) | 0.132394 | − | 1.51327i | 0.00495820 | − | 0.0566724i | ||||
\(714\) | −3.33526 | − | 2.88006i | −0.124819 | − | 0.107783i | ||||
\(715\) | 0.270029 | − | 9.35012i | 0.0100985 | − | 0.349675i | ||||
\(716\) | −7.13124 | + | 19.5929i | −0.266507 | + | 0.732221i | ||||
\(717\) | 43.3670 | − | 19.4797i | 1.61957 | − | 0.727483i | ||||
\(718\) | 6.03410 | − | 8.61759i | 0.225191 | − | 0.321606i | ||||
\(719\) | −6.54833 | + | 2.38340i | −0.244211 | + | 0.0888857i | −0.461226 | − | 0.887283i | \(-0.652590\pi\) |
0.217015 | + | 0.976168i | \(0.430368\pi\) | |||||||
\(720\) | −4.46454 | − | 5.00678i | −0.166384 | − | 0.186592i | ||||
\(721\) | −6.20209 | −0.230978 | ||||||||
\(722\) | 7.16942 | + | 17.5954i | 0.266818 | + | 0.654834i | ||||
\(723\) | −8.62424 | − | 12.6955i | −0.320739 | − | 0.472152i | ||||
\(724\) | 8.09955 | − | 9.65266i | 0.301017 | − | 0.358738i | ||||
\(725\) | −0.944984 | + | 1.00250i | −0.0350958 | + | 0.0372318i | ||||
\(726\) | −16.9327 | − | 0.239753i | −0.628433 | − | 0.00889807i | ||||
\(727\) | 16.0742 | + | 22.9564i | 0.596160 | + | 0.851405i | 0.997928 | − | 0.0643367i | \(-0.0204932\pi\) |
−0.401768 | + | 0.915741i | \(0.631604\pi\) | |||||||
\(728\) | 2.46137 | − | 1.14776i | 0.0912246 | − | 0.0425387i | ||||
\(729\) | −22.1529 | − | 15.4353i | −0.820479 | − | 0.571677i | ||||
\(730\) | 1.62156 | − | 5.42067i | 0.0600166 | − | 0.200628i | ||||
\(731\) | −14.4224 | − | 17.1880i | −0.533432 | − | 0.635720i | ||||
\(732\) | −3.09973 | + | 10.9460i | −0.114569 | + | 0.404577i | ||||
\(733\) | 10.2918 | − | 2.75767i | 0.380135 | − | 0.101857i | −0.0636913 | − | 0.997970i | \(-0.520287\pi\) |
0.443827 | + | 0.896113i | \(0.353621\pi\) | |||||||
\(734\) | −2.74934 | − | 4.76200i | −0.101480 | − | 0.175769i | ||||
\(735\) | 11.6101 | + | 22.2700i | 0.428245 | + | 0.821440i | ||||
\(736\) | 0.102239 | − | 0.579826i | 0.00376858 | − | 0.0213727i | ||||
\(737\) | 0.936380 | − | 1.33729i | 0.0344920 | − | 0.0492597i | ||||
\(738\) | 16.6037 | + | 17.5717i | 0.611192 | + | 0.646824i | ||||
\(739\) | 5.02671 | − | 5.99060i | 0.184911 | − | 0.220368i | −0.665624 | − | 0.746288i | \(-0.731834\pi\) |
0.850534 | + | 0.525920i | \(0.176279\pi\) | |||||||
\(740\) | 2.41483 | − | 3.91694i | 0.0887709 | − | 0.143989i | ||||
\(741\) | −28.5383 | − | 1.10968i | −1.04838 | − | 0.0407651i | ||||
\(742\) | 2.33742 | − | 2.33742i | 0.0858094 | − | 0.0858094i | ||||
\(743\) | 27.1369 | − | 2.37417i | 0.995555 | − | 0.0870998i | 0.422282 | − | 0.906464i | \(-0.361229\pi\) |
0.573273 | + | 0.819365i | \(0.305674\pi\) | |||||||
\(744\) | 4.41142 | − | 0.713608i | 0.161730 | − | 0.0261621i | ||||
\(745\) | 8.34900 | − | 3.60356i | 0.305884 | − | 0.132024i | ||||
\(746\) | −12.2605 | − | 2.16185i | −0.448888 | − | 0.0791510i | ||||
\(747\) | 1.13977 | + | 19.3121i | 0.0417020 | + | 0.706593i | ||||
\(748\) | 1.01428 | − | 3.78534i | 0.0370857 | − | 0.138406i | ||||
\(749\) | 1.52671 | − | 2.64434i | 0.0557847 | − | 0.0966220i | ||||
\(750\) | −6.86836 | + | 18.1060i | −0.250797 | + | 0.661136i | ||||
\(751\) | 8.59471 | − | 7.21182i | 0.313626 | − | 0.263163i | −0.472363 | − | 0.881404i | \(-0.656599\pi\) |
0.785989 | + | 0.618241i | \(0.212154\pi\) | |||||||
\(752\) | 4.15161 | − | 1.11242i | 0.151394 | − | 0.0405658i | ||||
\(753\) | 32.7887 | + | 15.8586i | 1.19489 | + | 0.577919i | ||||
\(754\) | −0.356491 | + | 0.979450i | −0.0129826 | + | 0.0356695i | ||||
\(755\) | −0.821684 | + | 0.0480367i | −0.0299042 | + | 0.00174823i | ||||
\(756\) | −1.42360 | + | 3.44817i | −0.0517758 | + | 0.125409i | ||||
\(757\) | −13.4503 | + | 28.8444i | −0.488861 | + | 1.04837i | 0.494911 | + | 0.868944i | \(0.335201\pi\) |
−0.983772 | + | 0.179422i | \(0.942577\pi\) | |||||||
\(758\) | −14.2560 | + | 1.24724i | −0.517801 | + | 0.0453017i | ||||
\(759\) | −0.211530 | + | 1.10770i | −0.00767806 | + | 0.0402071i | ||||
\(760\) | 8.68984 | − | 4.41437i | 0.315214 | − | 0.160126i | ||||
\(761\) | − | 4.13599i | − | 0.149929i | −0.997186 | − | 0.0749647i | \(-0.976116\pi\) | ||
0.997186 | − | 0.0749647i | \(-0.0238844\pi\) | |||||||
\(762\) | −0.523721 | + | 5.14593i | −0.0189724 | + | 0.186417i | ||||
\(763\) | 5.17766 | + | 2.41438i | 0.187444 | + | 0.0874066i | ||||
\(764\) | 1.88859 | + | 10.7107i | 0.0683268 | + | 0.387500i | ||||
\(765\) | 21.2332 | − | 10.6900i | 0.767688 | − | 0.386499i | ||||
\(766\) | −3.41052 | − | 1.24133i | −0.123227 | − | 0.0448510i | ||||
\(767\) | 7.14235 | − | 26.6556i | 0.257895 | − | 0.962479i | ||||
\(768\) | 1.72742 | − | 0.126514i | 0.0623330 | − | 0.00456520i | ||||
\(769\) | 10.2373 | + | 12.2003i | 0.369166 | + | 0.439955i | 0.918364 | − | 0.395737i | \(-0.129511\pi\) |
−0.549197 | + | 0.835693i | \(0.685067\pi\) | |||||||
\(770\) | 1.05980 | − | 1.42421i | 0.0381927 | − | 0.0513249i | ||||
\(771\) | −11.3850 | − | 9.83116i | −0.410021 | − | 0.354060i | ||||
\(772\) | −6.04267 | − | 1.61913i | −0.217480 | − | 0.0582737i | ||||
\(773\) | −14.3517 | + | 6.69230i | −0.516194 | + | 0.240705i | −0.663216 | − | 0.748428i | \(-0.730809\pi\) |
0.147022 | + | 0.989133i | \(0.453031\pi\) | |||||||
\(774\) | −9.95912 | + | 16.1741i | −0.357973 | + | 0.581368i | ||||
\(775\) | −7.70796 | − | 10.3442i | −0.276878 | − | 0.371575i | ||||
\(776\) | 5.45398 | + | 14.9847i | 0.195787 | + | 0.537919i | ||||
\(777\) | −2.54578 | − | 0.259094i | −0.0913293 | − | 0.00929493i | ||||
\(778\) | 3.60539 | + | 3.60539i | 0.129260 | + | 0.129260i | ||||
\(779\) | −30.8446 | + | 16.8062i | −1.10512 | + | 0.602144i | ||||
\(780\) | 0.647895 | + | 14.6366i | 0.0231984 | + | 0.524074i | ||||
\(781\) | 12.0500 | + | 10.1111i | 0.431183 | + | 0.361805i | ||||
\(782\) | 1.89098 | + | 0.881780i | 0.0676215 | + | 0.0315324i | ||||
\(783\) | −0.549429 | − | 1.32210i | −0.0196350 | − | 0.0472482i | ||||
\(784\) | −6.38606 | − | 1.12603i | −0.228074 | − | 0.0402155i | ||||
\(785\) | −26.7128 | − | 33.7688i | −0.953421 | − | 1.20526i | ||||
\(786\) | −0.132249 | − | 0.380008i | −0.00471718 | − | 0.0135544i | ||||
\(787\) | −8.75623 | − | 32.6787i | −0.312126 | − | 1.16487i | −0.926636 | − | 0.375961i | \(-0.877313\pi\) |
0.614510 | − | 0.788909i | \(-0.289354\pi\) | |||||||
\(788\) | 1.34682 | − | 15.3943i | 0.0479786 | − | 0.548397i | ||||
\(789\) | 34.3078 | − | 19.1652i | 1.22139 | − | 0.682299i | ||||
\(790\) | 15.3431 | − | 8.27722i | 0.545882 | − | 0.294490i | ||||
\(791\) | 2.44808 | − | 1.41340i | 0.0870436 | − | 0.0502546i | ||||
\(792\) | −3.31177 | + | 0.195456i | −0.117679 | + | 0.00694522i | ||||
\(793\) | 20.3531 | − | 14.2514i | 0.722759 | − | 0.506081i | ||||
\(794\) | 0.453663 | + | 2.57285i | 0.0160999 | + | 0.0913071i | ||||
\(795\) | 6.83417 | + | 16.4710i | 0.242383 | + | 0.584168i | ||||
\(796\) | 10.9278 | + | 9.16953i | 0.387326 | + | 0.325005i | ||||
\(797\) | 3.89633 | + | 3.89633i | 0.138015 | + | 0.138015i | 0.772739 | − | 0.634724i | \(-0.218886\pi\) |
−0.634724 | + | 0.772739i | \(0.718886\pi\) | |||||||
\(798\) | −4.31587 | − | 3.27910i | −0.152780 | − | 0.116079i | ||||
\(799\) | 15.2314i | 0.538847i | ||||||||
\(800\) | −2.62673 | − | 4.25444i | −0.0928690 | − | 0.150417i | ||||
\(801\) | −0.523329 | + | 18.4765i | −0.0184909 | + | 0.652837i | ||||
\(802\) | 20.2111 | + | 14.1520i | 0.713680 | + | 0.499724i | ||||
\(803\) | −1.60496 | − | 2.29212i | −0.0566379 | − | 0.0808873i | ||||
\(804\) | −1.30971 | + | 2.19609i | −0.0461900 | + | 0.0774500i | ||||
\(805\) | 0.648770 | + | 0.687357i | 0.0228661 | + | 0.0242262i | ||||
\(806\) | −8.45232 | − | 4.87995i | −0.297720 | − | 0.171889i | ||||
\(807\) | −23.7434 | − | 6.72372i | −0.835807 | − | 0.236686i | ||||
\(808\) | 18.1145 | + | 1.58481i | 0.637265 | + | 0.0557535i | ||||
\(809\) | 25.2799 | − | 43.7860i | 0.888793 | − | 1.53943i | 0.0474895 | − | 0.998872i | \(-0.484878\pi\) |
0.841304 | − | 0.540563i | \(-0.181789\pi\) | |||||||
\(810\) | −14.2553 | − | 14.2052i | −0.500880 | − | 0.499118i | ||||
\(811\) | 23.1289 | + | 8.41823i | 0.812165 | + | 0.295604i | 0.714518 | − | 0.699617i | \(-0.246646\pi\) |
0.0976473 | + | 0.995221i | \(0.468868\pi\) | |||||||
\(812\) | −0.162041 | + | 0.113462i | −0.00568652 | + | 0.00398175i | ||||
\(813\) | −29.4294 | + | 28.6077i | −1.03213 | + | 1.00331i | ||||
\(814\) | −0.778324 | − | 2.13843i | −0.0272802 | − | 0.0749519i | ||||
\(815\) | 27.9932 | − | 9.28267i | 0.980558 | − | 0.325158i | ||||
\(816\) | −1.15133 | + | 6.02906i | −0.0403045 | + | 0.211059i | ||||
\(817\) | −19.0268 | − | 19.9910i | −0.665665 | − | 0.699397i | ||||
\(818\) | 2.69948 | − | 2.69948i | 0.0943851 | − | 0.0943851i | ||||
\(819\) | 7.16843 | − | 3.87234i | 0.250485 | − | 0.135310i | ||||
\(820\) | 9.90502 | + | 15.0527i | 0.345898 | + | 0.525664i | ||||
\(821\) | −52.8667 | + | 9.32183i | −1.84506 | + | 0.325334i | −0.983302 | − | 0.181983i | \(-0.941748\pi\) |
−0.861759 | + | 0.507317i | \(0.830637\pi\) | |||||||
\(822\) | 16.1865 | + | 36.0354i | 0.564569 | + | 1.25688i | ||||
\(823\) | −10.8351 | − | 23.2360i | −0.377688 | − | 0.809955i | −0.999638 | − | 0.0268977i | \(-0.991437\pi\) |
0.621950 | − | 0.783057i | \(-0.286341\pi\) | |||||||
\(824\) | 4.31941 | + | 7.48144i | 0.150474 | + | 0.260628i | ||||
\(825\) | 4.91531 | + | 8.21929i | 0.171129 | + | 0.286159i | ||||
\(826\) | 4.01202 | − | 3.36649i | 0.139596 | − | 0.117135i | ||||
\(827\) | −51.0314 | − | 4.46467i | −1.77454 | − | 0.155252i | −0.847641 | − | 0.530571i | \(-0.821978\pi\) |
−0.926896 | + | 0.375319i | \(0.877533\pi\) | |||||||
\(828\) | 0.203701 | − | 1.75453i | 0.00707910 | − | 0.0609740i | ||||
\(829\) | −21.8106 | + | 12.5923i | −0.757512 | + | 0.437350i | −0.828402 | − | 0.560134i | \(-0.810750\pi\) |
0.0708896 | + | 0.997484i | \(0.477416\pi\) | |||||||
\(830\) | −1.67088 | + | 14.3223i | −0.0579972 | + | 0.497134i | ||||
\(831\) | −6.82307 | + | 17.9513i | −0.236690 | + | 0.622723i | ||||
\(832\) | −3.09873 | − | 2.16975i | −0.107429 | − | 0.0752227i | ||||
\(833\) | 9.71172 | − | 20.8268i | 0.336491 | − | 0.721607i | ||||
\(834\) | −24.5256 | − | 30.0834i | −0.849252 | − | 1.04170i | ||||
\(835\) | 15.6534 | − | 25.3903i | 0.541708 | − | 0.878669i | ||||
\(836\) | 0.954044 | − | 4.72491i | 0.0329963 | − | 0.163414i | ||||
\(837\) | 13.0851 | − | 2.91681i | 0.452288 | − | 0.100820i | ||||
\(838\) | 2.00645 | + | 22.9339i | 0.0693118 | + | 0.792237i | ||||
\(839\) | −18.3257 | + | 6.67001i | −0.632673 | + | 0.230274i | −0.638394 | − | 0.769709i | \(-0.720401\pi\) |
0.00572112 | + | 0.999984i | \(0.498179\pi\) | |||||||
\(840\) | −1.49257 | + | 2.34598i | −0.0514984 | + | 0.0809441i | ||||
\(841\) | −5.02261 | + | 28.4847i | −0.173194 | + | 0.982230i | ||||
\(842\) | 15.1599 | + | 32.5105i | 0.522444 | + | 1.12039i | ||||
\(843\) | 7.38845 | + | 3.57350i | 0.254472 | + | 0.123078i | ||||
\(844\) | −20.4258 | − | 11.7929i | −0.703087 | − | 0.405927i | ||||
\(845\) | 1.74864 | − | 2.34990i | 0.0601552 | − | 0.0808391i | ||||
\(846\) | 12.2366 | − | 4.06525i | 0.420702 | − | 0.139766i | ||||
\(847\) | 1.81673 | + | 6.78012i | 0.0624235 | + | 0.232968i | ||||
\(848\) | −4.44746 | − | 1.19169i | −0.152727 | − | 0.0409230i | ||||
\(849\) | −19.9693 | + | 33.4839i | −0.685344 | + | 1.14916i | ||||
\(850\) | 16.9723 | − | 5.08920i | 0.582145 | − | 0.174558i | ||||
\(851\) | 1.19320 | − | 0.210393i | 0.0409022 | − | 0.00721217i | ||||
\(852\) | −19.9799 | − | 14.4159i | −0.684499 | − | 0.493880i | ||||
\(853\) | 0.802781 | + | 9.17583i | 0.0274867 | + | 0.314174i | 0.997475 | + | 0.0710219i | \(0.0226260\pi\) |
−0.969988 | + | 0.243153i | \(0.921818\pi\) | |||||||
\(854\) | 4.71552 | 0.161362 | ||||||||
\(855\) | 25.2440 | − | 14.7560i | 0.863327 | − | 0.504645i | ||||
\(856\) | −4.25308 | −0.145367 | ||||||||
\(857\) | −2.29649 | − | 26.2489i | −0.0784464 | − | 0.896647i | −0.928835 | − | 0.370493i | \(-0.879189\pi\) |
0.850389 | − | 0.526154i | \(-0.176367\pi\) | |||||||
\(858\) | 5.87581 | + | 4.23952i | 0.200597 | + | 0.144735i | ||||
\(859\) | 14.0273 | − | 2.47338i | 0.478604 | − | 0.0843908i | 0.0708583 | − | 0.997486i | \(-0.477426\pi\) |
0.407745 | + | 0.913096i | \(0.366315\pi\) | |||||||
\(860\) | −9.40961 | + | 10.5781i | −0.320865 | + | 0.360711i | ||||
\(861\) | 5.13269 | − | 8.60633i | 0.174921 | − | 0.293303i | ||||
\(862\) | −9.11740 | − | 2.44300i | −0.310540 | − | 0.0832089i | ||||
\(863\) | −2.49412 | − | 9.30818i | −0.0849008 | − | 0.316854i | 0.910395 | − | 0.413741i | \(-0.135778\pi\) |
−0.995295 | + | 0.0968870i | \(0.969111\pi\) | |||||||
\(864\) | 5.15091 | − | 0.684203i | 0.175237 | − | 0.0232770i | ||||
\(865\) | −22.1263 | + | 3.24593i | −0.752317 | + | 0.110365i | ||||
\(866\) | −13.1554 | − | 7.59528i | −0.447039 | − | 0.258098i | ||||
\(867\) | 6.92564 | + | 3.34966i | 0.235207 | + | 0.113760i | ||||
\(868\) | −0.782813 | − | 1.67875i | −0.0265704 | − | 0.0569804i | ||||
\(869\) | 1.49714 | − | 8.49067i | 0.0507868 | − | 0.288026i | ||||
\(870\) | −0.231601 | − | 1.04171i | −0.00785200 | − | 0.0353172i | ||||
\(871\) | 5.24773 | − | 1.91002i | 0.177812 | − | 0.0647185i | ||||
\(872\) | −0.693539 | − | 7.92719i | −0.0234862 | − | 0.268449i | ||||
\(873\) | 18.9820 | + | 43.9120i | 0.642445 | + | 1.48620i | ||||
\(874\) | 2.38920 | + | 0.937065i | 0.0808158 | + | 0.0316967i | ||||
\(875\) | 7.99663 | + | 0.694366i | 0.270335 | + | 0.0234739i | ||||
\(876\) | 2.76932 | + | 3.39688i | 0.0935666 | + | 0.114770i | ||||
\(877\) | −9.98624 | + | 21.4156i | −0.337211 | + | 0.723152i | −0.999663 | − | 0.0259525i | \(-0.991738\pi\) |
0.662452 | + | 0.749104i | \(0.269516\pi\) | |||||||
\(878\) | −8.90267 | − | 6.23372i | −0.300451 | − | 0.210378i | ||||
\(879\) | 7.80291 | − | 20.5292i | 0.263186 | − | 0.692433i | ||||
\(880\) | −2.45609 | − | 0.286535i | −0.0827947 | − | 0.00965909i | ||||
\(881\) | 7.52711 | − | 4.34578i | 0.253595 | − | 0.146413i | −0.367814 | − | 0.929899i | \(-0.619894\pi\) |
0.621409 | + | 0.783486i | \(0.286561\pi\) | |||||||
\(882\) | −19.3239 | − | 2.24351i | −0.650670 | − | 0.0755430i | ||||
\(883\) | 1.43861 | + | 0.125862i | 0.0484132 | + | 0.00423560i | 0.111337 | − | 0.993783i | \(-0.464487\pi\) |
−0.0629234 | + | 0.998018i | \(0.520042\pi\) | |||||||
\(884\) | 10.2693 | − | 8.61694i | 0.345393 | − | 0.289819i | ||||
\(885\) | 8.51224 | + | 26.9407i | 0.286136 | + | 0.905601i | ||||
\(886\) | 16.8429 | + | 29.1727i | 0.565847 | + | 0.980075i | ||||
\(887\) | 12.1588 | + | 26.0747i | 0.408253 | + | 0.875502i | 0.997706 | + | 0.0676992i | \(0.0215658\pi\) |
−0.589452 | + | 0.807803i | \(0.700656\pi\) | |||||||
\(888\) | 1.46046 | + | 3.25136i | 0.0490097 | + | 0.109109i | ||||
\(889\) | 2.11142 | − | 0.372301i | 0.0708148 | − | 0.0124866i | ||||
\(890\) | −2.78305 | + | 13.4931i | −0.0932880 | + | 0.452290i | ||||
\(891\) | −9.88352 | + | 1.17070i | −0.331110 | + | 0.0392199i | ||||
\(892\) | −15.7722 | + | 15.7722i | −0.528093 | + | 0.528093i | ||||
\(893\) | 1.17129 | + | 18.6982i | 0.0391958 | + | 0.625710i | ||||
\(894\) | −1.32123 | + | 6.91876i | −0.0441884 | + | 0.231398i | ||||
\(895\) | −20.9152 | + | 41.6682i | −0.699119 | + | 1.39281i | ||||
\(896\) | −0.245547 | − | 0.674635i | −0.00820315 | − | 0.0225380i | ||||
\(897\) | −2.76613 | + | 2.68889i | −0.0923585 | + | 0.0897796i | ||||
\(898\) | 22.0586 | − | 15.4456i | 0.736106 | − | 0.515427i | ||||
\(899\) | 0.668020 | + | 0.243139i | 0.0222797 | + | 0.00810916i | ||||
\(900\) | −8.61847 | − | 12.2769i | −0.287282 | − | 0.409230i | ||||
\(901\) | 8.15840 | − | 14.1308i | 0.271796 | − | 0.470764i | ||||
\(902\) | 8.87750 | + | 0.776681i | 0.295589 | + | 0.0258606i | ||||
\(903\) | 7.57526 | + | 2.14518i | 0.252089 | + | 0.0713872i | ||||
\(904\) | −3.40990 | − | 1.96871i | −0.113412 | − | 0.0654782i | ||||
\(905\) | 20.4902 | − | 19.3399i | 0.681118 | − | 0.642881i | ||||
\(906\) | 0.326565 | − | 0.547575i | 0.0108494 | − | 0.0181920i | ||||
\(907\) | −3.68399 | − | 5.26129i | −0.122325 | − | 0.174698i | 0.753319 | − | 0.657655i | \(-0.228452\pi\) |
−0.875644 | + | 0.482957i | \(0.839563\pi\) | |||||||
\(908\) | −5.71757 | − | 4.00349i | −0.189744 | − | 0.132860i | ||||
\(909\) | 54.5292 | + | 1.54448i | 1.80862 | + | 0.0512272i | ||||
\(910\) | 5.76412 | − | 1.91141i | 0.191079 | − | 0.0633626i | ||||
\(911\) | − | 32.7775i | − | 1.08597i | −0.839744 | − | 0.542983i | \(-0.817295\pi\) | ||
0.839744 | − | 0.542983i | \(-0.182705\pi\) | |||||||
\(912\) | −0.949743 | + | 7.48986i | −0.0314491 | + | 0.248014i | ||||
\(913\) | 5.04246 | + | 5.04246i | 0.166881 | + | 0.166881i | ||||
\(914\) | −12.6272 | − | 10.5955i | −0.417672 | − | 0.350468i | ||||
\(915\) | −9.72073 | + | 23.5080i | −0.321357 | + | 0.777151i | ||||
\(916\) | −3.38376 | − | 19.1902i | −0.111802 | − | 0.634063i | ||||
\(917\) | −0.136617 | + | 0.0956602i | −0.00451149 | + | 0.00315898i | ||||
\(918\) | −2.38235 | + | 18.2592i | −0.0786294 | + | 0.602645i | ||||
\(919\) | −19.1185 | + | 11.0381i | −0.630661 | + | 0.364112i | −0.781008 | − | 0.624521i | \(-0.785294\pi\) |
0.150347 | + | 0.988633i | \(0.451961\pi\) | |||||||
\(920\) | 0.377311 | − | 1.26130i | 0.0124396 | − | 0.0415840i | ||||
\(921\) | −31.6946 | + | 17.7054i | −1.04437 | + | 0.583411i | ||||
\(922\) | 1.35428 | − | 15.4795i | 0.0446009 | − | 0.509791i | ||||
\(923\) | 13.9269 | + | 51.9758i | 0.458409 | + | 1.71080i | ||||
\(924\) | 0.451975 | + | 1.29871i | 0.0148689 | + | 0.0427245i | ||||
\(925\) | 6.37826 | − | 8.07383i | 0.209716 | − | 0.265466i | ||||
\(926\) | −13.8375 | − | 2.43992i | −0.454727 | − | 0.0801807i | ||||
\(927\) | 14.2581 | + | 21.6419i | 0.468296 | + | 0.710813i | ||||
\(928\) | 0.249720 | + | 0.116446i | 0.00819746 | + | 0.00382254i | ||||
\(929\) | 40.5540 | + | 34.0289i | 1.33053 | + | 1.11645i | 0.983952 | + | 0.178431i | \(0.0571021\pi\) |
0.346582 | + | 0.938020i | \(0.387342\pi\) | |||||||
\(930\) | 9.98268 | − | 0.441888i | 0.327345 | − | 0.0144901i | ||||
\(931\) | 10.3206 | − | 26.3141i | 0.338244 | − | 0.862408i | ||||
\(932\) | −9.33494 | − | 9.33494i | −0.305776 | − | 0.305776i | ||||
\(933\) | 56.2117 | + | 5.72088i | 1.84029 | + | 0.187293i | ||||
\(934\) | −8.59132 | − | 23.6045i | −0.281117 | − | 0.772362i | ||||
\(935\) | 3.23353 | − | 8.14444i | 0.105748 | − | 0.266352i | ||||
\(936\) | −9.66354 | − | 5.95026i | −0.315863 | − | 0.194490i | ||||
\(937\) | −4.18594 | + | 1.95194i | −0.136749 | + | 0.0637670i | −0.489788 | − | 0.871841i | \(-0.662926\pi\) |
0.353039 | + | 0.935608i | \(0.385148\pi\) | |||||||
\(938\) | 1.02375 | + | 0.274313i | 0.0334266 | + | 0.00895663i | ||||
\(939\) | 39.1885 | + | 33.8400i | 1.27887 | + | 1.10433i | ||||
\(940\) | 9.50898 | − | 1.39497i | 0.310149 | − | 0.0454989i | ||||
\(941\) | 23.3655 | + | 27.8459i | 0.761693 | + | 0.907751i | 0.997954 | − | 0.0639392i | \(-0.0203664\pi\) |
−0.236261 | + | 0.971690i | \(0.575922\pi\) | |||||||
\(942\) | 33.2627 | − | 2.43612i | 1.08376 | − | 0.0793731i | ||||
\(943\) | −1.22799 | + | 4.58292i | −0.0399888 | + | 0.149240i | ||||
\(944\) | −6.85507 | − | 2.49504i | −0.223114 | − | 0.0812067i | ||||
\(945\) | −4.05527 | + | 7.28953i | −0.131918 | + | 0.237128i | ||||
\(946\) | 1.21582 | + | 6.89525i | 0.0395297 | + | 0.224184i | ||||
\(947\) | −12.7304 | − | 5.93626i | −0.413681 | − | 0.192903i | 0.204624 | − | 0.978841i | \(-0.434403\pi\) |
−0.618305 | + | 0.785938i | \(0.712181\pi\) | |||||||
\(948\) | −1.36727 | + | 13.4344i | −0.0444070 | + | 0.436330i | ||||
\(949\) | − | 9.57190i | − | 0.310717i | ||||||
\(950\) | 20.4440 | − | 7.55272i | 0.663290 | − | 0.245043i | ||||
\(951\) | 10.7274 | − | 56.1752i | 0.347859 | − | 1.82161i | ||||
\(952\) | 2.53451 | − | 0.221741i | 0.0821439 | − | 0.00718666i | ||||
\(953\) | 23.2120 | − | 49.7782i | 0.751909 | − | 1.61247i | −0.0380203 | − | 0.999277i | \(-0.512105\pi\) |
0.789930 | − | 0.613198i | \(-0.210117\pi\) | |||||||
\(954\) | −13.5298 | − | 2.78279i | −0.438045 | − | 0.0900963i | ||||
\(955\) | 1.41932 | + | 24.2779i | 0.0459280 | + | 0.785615i | ||||
\(956\) | −9.38772 | + | 25.7926i | −0.303621 | + | 0.834191i | ||||
\(957\) | −0.475103 | − | 0.229788i | −0.0153579 | − | 0.00742800i | ||||
\(958\) | 5.68887 | − | 1.52433i | 0.183799 | − | 0.0492488i | ||||
\(959\) | 12.5434 | − | 10.5252i | 0.405048 | − | 0.339876i | ||||
\(960\) | 3.86940 | + | 0.166603i | 0.124884 | + | 0.00537707i | ||||
\(961\) | 12.1717 | − | 21.0820i | 0.392635 | − | 0.680064i | ||||
\(962\) | 2.01479 | − | 7.51930i | 0.0649594 | − | 0.242432i | ||||
\(963\) | −12.7371 | + | 0.751722i | −0.410446 | + | 0.0242239i | ||||
\(964\) | 8.72642 | + | 1.53870i | 0.281059 | + | 0.0495583i | ||||
\(965\) | −13.0013 | − | 5.16180i | −0.418525 | − | 0.166164i | ||||
\(966\) | −0.722737 | + | 0.116913i | −0.0232537 | + | 0.00376161i | ||||
\(967\) | 46.1067 | − | 4.03381i | 1.48269 | − | 0.129719i | 0.683127 | − | 0.730300i | \(-0.260620\pi\) |
0.799564 | + | 0.600581i | \(0.205064\pi\) | |||||||
\(968\) | 6.91346 | − | 6.91346i | 0.222207 | − | 0.222207i | ||||
\(969\) | −24.7669 | − | 10.1207i | −0.795627 | − | 0.325123i | ||||
\(970\) | 8.23065 | + | 34.6943i | 0.264270 | + | 1.11397i | ||||
\(971\) | −30.6766 | + | 36.5590i | −0.984459 | + | 1.17323i | 0.000421835 | 1.00000i | \(0.499866\pi\) | |
−0.984881 | + | 0.173233i | \(0.944579\pi\) | |||||||
\(972\) | 15.3050 | − | 2.95945i | 0.490907 | − | 0.0949246i | ||||
\(973\) | −9.22785 | + | 13.1787i | −0.295831 | + | 0.422491i | ||||
\(974\) | −3.37272 | + | 19.1276i | −0.108069 | + | 0.612889i | ||||
\(975\) | −2.35350 | + | 32.6758i | −0.0753722 | + | 1.04646i | ||||
\(976\) | −3.28410 | − | 5.68823i | −0.105122 | − | 0.182076i | ||||
\(977\) | −50.9771 | + | 13.6593i | −1.63090 | + | 0.436999i | −0.954178 | − | 0.299239i | \(-0.903267\pi\) |
−0.676723 | + | 0.736238i | \(0.736601\pi\) | |||||||
\(978\) | −6.22440 | + | 21.9802i | −0.199035 | + | 0.702848i | ||||
\(979\) | 4.37961 | + | 5.21942i | 0.139973 | + | 0.166813i | ||||
\(980\) | −13.8917 | − | 4.15562i | −0.443754 | − | 0.132746i | ||||
\(981\) | −3.47812 | − | 23.6177i | −0.111048 | − | 0.754055i | ||||
\(982\) | 19.9965 | − | 9.32453i | 0.638115 | − | 0.297558i | ||||
\(983\) | 22.5745 | + | 32.2398i | 0.720016 | + | 1.02829i | 0.997711 | + | 0.0676196i | \(0.0215404\pi\) |
−0.277696 | + | 0.960669i | \(0.589571\pi\) | |||||||
\(984\) | −13.9563 | − | 0.197609i | −0.444910 | − | 0.00629953i | ||||
\(985\) | 6.98009 | − | 33.8417i | 0.222404 | − | 1.07829i | ||||
\(986\) | −0.627641 | + | 0.747993i | −0.0199882 | + | 0.0238210i | ||||
\(987\) | −3.00325 | − | 4.42101i | −0.0955946 | − | 0.140722i | ||||
\(988\) | 11.9440 | − | 11.3679i | 0.379989 | − | 0.361662i | ||||
\(989\) | −3.72778 | −0.118536 | ||||||||
\(990\) | −7.40611 | − | 0.424003i | −0.235382 | − | 0.0134757i | ||||
\(991\) | −10.3892 | + | 3.78137i | −0.330025 | + | 0.120119i | −0.501718 | − | 0.865031i | \(-0.667298\pi\) |
0.171693 | + | 0.985150i | \(0.445076\pi\) | |||||||
\(992\) | −1.47985 | + | 2.11345i | −0.0469853 | + | 0.0671020i | ||||
\(993\) | 53.4751 | − | 24.0201i | 1.69698 | − | 0.762255i | ||||
\(994\) | −3.49280 | + | 9.59638i | −0.110785 | + | 0.304379i | ||||
\(995\) | 21.8948 | + | 23.1971i | 0.694113 | + | 0.735396i | ||||
\(996\) | −8.45364 | − | 7.29987i | −0.267864 | − | 0.231305i | ||||
\(997\) | 0.774310 | − | 8.85041i | 0.0245227 | − | 0.280295i | −0.974026 | − | 0.226437i | \(-0.927292\pi\) |
0.998549 | − | 0.0538587i | \(-0.0171520\pi\) | |||||||
\(998\) | −0.0637453 | + | 0.728612i | −0.00201782 | + | 0.0230638i | ||||
\(999\) | 4.94843 | + | 9.47901i | 0.156561 | + | 0.299903i |
(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 | 570.2.bi.a.263.16 | ✓ | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.263.39 | yes | 480 | |
5.2 | odd | 4 | inner | 570.2.bi.a.377.34 | yes | 480 | |
15.2 | even | 4 | inner | 570.2.bi.a.377.12 | yes | 480 | |
19.6 | even | 9 | inner | 570.2.bi.a.443.12 | yes | 480 | |
57.44 | odd | 18 | inner | 570.2.bi.a.443.34 | yes | 480 | |
95.82 | odd | 36 | inner | 570.2.bi.a.557.39 | yes | 480 | |
285.272 | even | 36 | inner | 570.2.bi.a.557.16 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.263.16 | ✓ | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.263.39 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.377.12 | yes | 480 | 15.2 | even | 4 | inner | |
570.2.bi.a.377.34 | yes | 480 | 5.2 | odd | 4 | inner | |
570.2.bi.a.443.12 | yes | 480 | 19.6 | even | 9 | inner | |
570.2.bi.a.443.34 | yes | 480 | 57.44 | odd | 18 | inner | |
570.2.bi.a.557.16 | yes | 480 | 285.272 | even | 36 | inner | |
570.2.bi.a.557.39 | yes | 480 | 95.82 | odd | 36 | inner |