Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 163.2 | ||
Character | \(\chi\) | \(=\) | 483.163 |
Dual form | 483.2.y.b.403.2 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.18671 | + | 1.12733i | −1.54624 | + | 0.797143i | −0.999201 | − | 0.0399642i | \(-0.987276\pi\) |
−0.547040 | + | 0.837107i | \(0.684245\pi\) | |||||||
\(3\) | −0.786053 | + | 0.618159i | −0.453828 | + | 0.356894i | ||||
\(4\) | 2.35073 | − | 3.30114i | 1.17537 | − | 1.65057i | ||||
\(5\) | 0.783022 | − | 0.746610i | 0.350178 | − | 0.333894i | −0.494491 | − | 0.869183i | \(-0.664646\pi\) |
0.844669 | + | 0.535289i | \(0.179797\pi\) | |||||||
\(6\) | 1.02200 | − | 2.23788i | 0.417232 | − | 0.913610i | ||||
\(7\) | −0.0385801 | − | 2.64547i | −0.0145819 | − | 0.999894i | ||||
\(8\) | −0.718661 | + | 4.99839i | −0.254085 | + | 1.76720i | ||||
\(9\) | 0.235759 | − | 0.971812i | 0.0785863 | − | 0.323937i | ||||
\(10\) | −0.870570 | + | 2.51535i | −0.275298 | + | 0.795422i | ||||
\(11\) | 3.13518 | + | 1.61630i | 0.945291 | + | 0.487332i | 0.860716 | − | 0.509085i | \(-0.170016\pi\) |
0.0845755 | + | 0.996417i | \(0.473047\pi\) | |||||||
\(12\) | 0.192830 | + | 4.04800i | 0.0556653 | + | 1.16856i | ||||
\(13\) | −3.33830 | − | 3.85260i | −0.925877 | − | 1.06852i | −0.997470 | − | 0.0710854i | \(-0.977354\pi\) |
0.0715929 | − | 0.997434i | \(-0.477192\pi\) | |||||||
\(14\) | 3.06668 | + | 5.74140i | 0.819605 | + | 1.53445i | ||||
\(15\) | −0.153973 | + | 1.07091i | −0.0397557 | + | 0.276507i | ||||
\(16\) | −1.41239 | − | 4.08082i | −0.353096 | − | 1.02021i | ||||
\(17\) | −2.34139 | + | 0.223576i | −0.567870 | + | 0.0542250i | −0.375043 | − | 0.927008i | \(-0.622372\pi\) |
−0.192828 | + | 0.981233i | \(0.561766\pi\) | |||||||
\(18\) | 0.580015 | + | 2.39085i | 0.136711 | + | 0.563529i | ||||
\(19\) | −7.58230 | − | 0.724022i | −1.73950 | − | 0.166102i | −0.823509 | − | 0.567304i | \(-0.807986\pi\) |
−0.915990 | + | 0.401202i | \(0.868593\pi\) | |||||||
\(20\) | −0.623990 | − | 4.33995i | −0.139529 | − | 0.970442i | ||||
\(21\) | 1.66565 | + | 2.05563i | 0.363474 | + | 0.448576i | ||||
\(22\) | −8.67784 | −1.85012 | ||||||||
\(23\) | −4.78936 | − | 0.249029i | −0.998651 | − | 0.0519261i | ||||
\(24\) | −2.52490 | − | 4.37325i | −0.515392 | − | 0.892686i | ||||
\(25\) | −0.182213 | + | 3.82511i | −0.0364425 | + | 0.765023i | ||||
\(26\) | 11.6431 | + | 4.66118i | 2.28339 | + | 0.914132i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −8.82377 | − | 6.09144i | −1.66754 | − | 1.15117i | ||||
\(29\) | −4.23447 | + | 9.27219i | −0.786321 | + | 1.72180i | −0.0994275 | + | 0.995045i | \(0.531701\pi\) |
−0.686894 | + | 0.726758i | \(0.741026\pi\) | |||||||
\(30\) | −0.870570 | − | 2.51535i | −0.158944 | − | 0.459237i | ||||
\(31\) | 4.20038 | − | 1.68158i | 0.754411 | − | 0.302021i | 0.0376044 | − | 0.999293i | \(-0.488027\pi\) |
0.716806 | + | 0.697272i | \(0.245603\pi\) | |||||||
\(32\) | 0.379500 | + | 0.361853i | 0.0670868 | + | 0.0639671i | ||||
\(33\) | −3.46354 | + | 0.667543i | −0.602926 | + | 0.116204i | ||||
\(34\) | 4.86791 | − | 3.12841i | 0.834839 | − | 0.536519i | ||||
\(35\) | −2.00534 | − | 2.04266i | −0.338965 | − | 0.345272i | ||||
\(36\) | −2.65388 | − | 3.06275i | −0.442314 | − | 0.510458i | ||||
\(37\) | 2.35915 | − | 9.72455i | 0.387842 | − | 1.59871i | −0.358757 | − | 0.933431i | \(-0.616799\pi\) |
0.746599 | − | 0.665275i | \(-0.231685\pi\) | |||||||
\(38\) | 17.3965 | − | 6.96452i | 2.82209 | − | 1.12979i | ||||
\(39\) | 5.00560 | + | 0.964750i | 0.801537 | + | 0.154484i | ||||
\(40\) | 3.16912 | + | 4.45041i | 0.501082 | + | 0.703672i | ||||
\(41\) | −8.43987 | − | 2.47817i | −1.31809 | − | 0.387025i | −0.454285 | − | 0.890857i | \(-0.650105\pi\) |
−0.863802 | + | 0.503831i | \(0.831923\pi\) | |||||||
\(42\) | −5.95967 | − | 2.61735i | −0.919597 | − | 0.403865i | ||||
\(43\) | 0.770158 | + | 5.35656i | 0.117448 | + | 0.816868i | 0.960349 | + | 0.278800i | \(0.0899366\pi\) |
−0.842901 | + | 0.538068i | \(0.819154\pi\) | |||||||
\(44\) | 12.7056 | − | 6.55019i | 1.91544 | − | 0.987478i | ||||
\(45\) | −0.540960 | − | 0.936969i | −0.0806415 | − | 0.139675i | ||||
\(46\) | 10.7537 | − | 4.85463i | 1.58555 | − | 0.715777i | ||||
\(47\) | 4.18642 | − | 7.25110i | 0.610653 | − | 1.05768i | −0.380478 | − | 0.924790i | \(-0.624240\pi\) |
0.991131 | − | 0.132891i | \(-0.0424262\pi\) | |||||||
\(48\) | 3.63281 | + | 2.33466i | 0.524350 | + | 0.336980i | ||||
\(49\) | −6.99702 | + | 0.204125i | −0.999575 | + | 0.0291607i | ||||
\(50\) | −3.91372 | − | 8.56985i | −0.553483 | − | 1.21196i | ||||
\(51\) | 1.70225 | − | 1.62309i | 0.238363 | − | 0.227278i | ||||
\(52\) | −20.5654 | + | 1.96376i | −2.85191 | + | 0.272325i | ||||
\(53\) | −5.43670 | − | 1.04784i | −0.746788 | − | 0.143932i | −0.198360 | − | 0.980129i | \(-0.563561\pi\) |
−0.548428 | + | 0.836198i | \(0.684774\pi\) | |||||||
\(54\) | −1.93385 | − | 1.52080i | −0.263164 | − | 0.206954i | ||||
\(55\) | 3.66165 | − | 1.07516i | 0.493737 | − | 0.144974i | ||||
\(56\) | 13.2508 | + | 1.70836i | 1.77072 | + | 0.228289i | ||||
\(57\) | 6.40765 | − | 4.11795i | 0.848714 | − | 0.545435i | ||||
\(58\) | −1.19324 | − | 25.0493i | −0.156681 | − | 3.28913i | ||||
\(59\) | 0.454364 | − | 1.31280i | 0.0591532 | − | 0.170912i | −0.911552 | − | 0.411184i | \(-0.865115\pi\) |
0.970706 | + | 0.240272i | \(0.0772366\pi\) | |||||||
\(60\) | 3.17327 | + | 3.02571i | 0.409667 | + | 0.390617i | ||||
\(61\) | −0.773585 | − | 0.608354i | −0.0990475 | − | 0.0778918i | 0.567407 | − | 0.823437i | \(-0.307947\pi\) |
−0.666455 | + | 0.745546i | \(0.732189\pi\) | |||||||
\(62\) | −7.28934 | + | 8.41235i | −0.925747 | + | 1.06837i | ||||
\(63\) | −2.57999 | − | 0.586201i | −0.325049 | − | 0.0738543i | ||||
\(64\) | 7.04902 | + | 2.06978i | 0.881127 | + | 0.258722i | ||||
\(65\) | −5.49035 | − | 0.524265i | −0.680994 | − | 0.0650270i | ||||
\(66\) | 6.82124 | − | 5.36428i | 0.839637 | − | 0.660298i | ||||
\(67\) | 0.195028 | − | 4.09414i | 0.0238265 | − | 0.500179i | −0.955140 | − | 0.296156i | \(-0.904295\pi\) |
0.978966 | − | 0.204023i | \(-0.0654018\pi\) | |||||||
\(68\) | −4.76593 | + | 8.25483i | −0.577954 | + | 1.00105i | ||||
\(69\) | 3.91863 | − | 2.76484i | 0.471748 | − | 0.332847i | ||||
\(70\) | 6.68786 | + | 2.20602i | 0.799352 | + | 0.263670i | ||||
\(71\) | −1.44062 | − | 0.925829i | −0.170970 | − | 0.109876i | 0.452357 | − | 0.891837i | \(-0.350583\pi\) |
−0.623327 | + | 0.781961i | \(0.714220\pi\) | |||||||
\(72\) | 4.68807 | + | 1.87682i | 0.552494 | + | 0.221185i | ||||
\(73\) | 0.181887 | − | 0.255425i | 0.0212883 | − | 0.0298952i | −0.803795 | − | 0.594907i | \(-0.797189\pi\) |
0.825083 | + | 0.565012i | \(0.191128\pi\) | |||||||
\(74\) | 5.80398 | + | 23.9243i | 0.674699 | + | 2.78115i | ||||
\(75\) | −2.22130 | − | 3.11938i | −0.256494 | − | 0.360195i | ||||
\(76\) | −20.2141 | + | 23.3283i | −2.31871 | + | 2.67594i | ||||
\(77\) | 4.15491 | − | 8.35637i | 0.473496 | − | 0.952297i | ||||
\(78\) | −12.0334 | + | 3.53333i | −1.36252 | + | 0.400071i | ||||
\(79\) | 3.13395 | − | 0.604019i | 0.352597 | − | 0.0679575i | −0.00987752 | − | 0.999951i | \(-0.503144\pi\) |
0.362474 | + | 0.931994i | \(0.381932\pi\) | |||||||
\(80\) | −4.15271 | − | 2.14087i | −0.464287 | − | 0.239357i | ||||
\(81\) | −0.888835 | − | 0.458227i | −0.0987595 | − | 0.0509141i | ||||
\(82\) | 21.2493 | − | 4.09547i | 2.34659 | − | 0.452269i | ||||
\(83\) | −4.53728 | + | 1.33227i | −0.498031 | + | 0.146235i | −0.521095 | − | 0.853499i | \(-0.674476\pi\) |
0.0230634 | + | 0.999734i | \(0.492658\pi\) | |||||||
\(84\) | 10.7014 | − | 0.666299i | 1.16762 | − | 0.0726992i | ||||
\(85\) | −1.66643 | + | 1.92317i | −0.180750 | + | 0.208597i | ||||
\(86\) | −7.72273 | − | 10.8451i | −0.832763 | − | 1.16945i | ||||
\(87\) | −2.40317 | − | 9.90601i | −0.257647 | − | 1.06204i | ||||
\(88\) | −10.3320 | + | 14.5093i | −1.10140 | + | 1.54669i | ||||
\(89\) | 8.48291 | + | 3.39605i | 0.899187 | + | 0.359980i | 0.774765 | − | 0.632249i | \(-0.217868\pi\) |
0.124422 | + | 0.992229i | \(0.460292\pi\) | |||||||
\(90\) | 2.23920 | + | 1.43904i | 0.236032 | + | 0.151689i | ||||
\(91\) | −10.0631 | + | 8.98000i | −1.05490 | + | 0.941360i | ||||
\(92\) | −12.0806 | + | 15.2250i | −1.25949 | + | 1.58731i | ||||
\(93\) | −2.26224 | + | 3.91831i | −0.234583 | + | 0.406310i | ||||
\(94\) | −0.980135 | + | 20.5756i | −0.101093 | + | 2.12221i | ||||
\(95\) | −6.47766 | + | 5.09409i | −0.664594 | + | 0.522643i | ||||
\(96\) | −0.521990 | − | 0.0498440i | −0.0532753 | − | 0.00508718i | ||||
\(97\) | −7.28892 | − | 2.14022i | −0.740078 | − | 0.217306i | −0.110101 | − | 0.993920i | \(-0.535117\pi\) |
−0.629977 | + | 0.776614i | \(0.716936\pi\) | |||||||
\(98\) | 15.0704 | − | 8.33432i | 1.52234 | − | 0.841893i | ||||
\(99\) | 2.30988 | − | 2.66575i | 0.232152 | − | 0.267917i | ||||
\(100\) | 12.1989 | + | 9.59334i | 1.21989 | + | 0.959334i | ||||
\(101\) | −0.245062 | − | 0.233666i | −0.0243846 | − | 0.0232506i | 0.677789 | − | 0.735257i | \(-0.262938\pi\) |
−0.702173 | + | 0.712006i | \(0.747787\pi\) | |||||||
\(102\) | −1.89258 | + | 5.46824i | −0.187393 | + | 0.541436i | ||||
\(103\) | 0.491113 | + | 10.3097i | 0.0483908 | + | 1.01585i | 0.884282 | + | 0.466952i | \(0.154648\pi\) |
−0.835892 | + | 0.548894i | \(0.815049\pi\) | |||||||
\(104\) | 21.6559 | − | 13.9174i | 2.12354 | − | 1.36471i | ||||
\(105\) | 2.83899 | + | 0.366016i | 0.277057 | + | 0.0357195i | ||||
\(106\) | 13.0698 | − | 3.83763i | 1.26945 | − | 0.372743i | ||||
\(107\) | −2.86133 | − | 2.25017i | −0.276615 | − | 0.217532i | 0.470207 | − | 0.882556i | \(-0.344179\pi\) |
−0.746822 | + | 0.665024i | \(0.768422\pi\) | |||||||
\(108\) | 3.97936 | + | 0.766958i | 0.382914 | + | 0.0738006i | ||||
\(109\) | −16.4895 | + | 1.57455i | −1.57940 | + | 0.150815i | −0.847576 | − | 0.530675i | \(-0.821939\pi\) |
−0.731828 | + | 0.681489i | \(0.761333\pi\) | |||||||
\(110\) | −6.79493 | + | 6.47896i | −0.647872 | + | 0.617744i | ||||
\(111\) | 4.15690 | + | 9.10234i | 0.394555 | + | 0.863956i | ||||
\(112\) | −10.7412 | + | 3.89386i | −1.01495 | + | 0.367935i | ||||
\(113\) | −10.9617 | − | 7.04464i | −1.03119 | − | 0.662704i | −0.0883954 | − | 0.996085i | \(-0.528174\pi\) |
−0.942792 | + | 0.333382i | \(0.891810\pi\) | |||||||
\(114\) | −9.36942 | + | 16.2283i | −0.877526 | + | 1.51992i | ||||
\(115\) | −3.93610 | + | 3.38079i | −0.367043 | + | 0.315260i | ||||
\(116\) | 20.6547 | + | 35.7751i | 1.91774 | + | 3.32163i | ||||
\(117\) | −4.53104 | + | 2.33591i | −0.418894 | + | 0.215955i | ||||
\(118\) | 0.486393 | + | 3.38294i | 0.0447761 | + | 0.311424i | ||||
\(119\) | 0.681793 | + | 6.18545i | 0.0624999 | + | 0.567019i | ||||
\(120\) | −5.24216 | − | 1.53924i | −0.478541 | − | 0.140512i | ||||
\(121\) | 0.836296 | + | 1.17441i | 0.0760269 | + | 0.106765i | ||||
\(122\) | 2.37743 | + | 0.458211i | 0.215242 | + | 0.0414845i | ||||
\(123\) | 8.16609 | − | 3.26921i | 0.736312 | − | 0.294775i | ||||
\(124\) | 4.32285 | − | 17.8190i | 0.388203 | − | 1.60019i | ||||
\(125\) | 6.25572 | + | 7.21949i | 0.559529 | + | 0.645731i | ||||
\(126\) | 6.30255 | − | 1.62665i | 0.561476 | − | 0.144914i | ||||
\(127\) | 8.37297 | − | 5.38098i | 0.742981 | − | 0.477485i | −0.113581 | − | 0.993529i | \(-0.536232\pi\) |
0.856562 | + | 0.516044i | \(0.172596\pi\) | |||||||
\(128\) | −18.7773 | + | 3.61903i | −1.65969 | + | 0.319880i | ||||
\(129\) | −3.91659 | − | 3.73446i | −0.344837 | − | 0.328801i | ||||
\(130\) | 12.5968 | − | 5.04302i | 1.10482 | − | 0.442302i | ||||
\(131\) | −7.09747 | − | 20.5068i | −0.620109 | − | 1.79169i | −0.610873 | − | 0.791729i | \(-0.709181\pi\) |
−0.00923595 | − | 0.999957i | \(-0.502940\pi\) | |||||||
\(132\) | −5.93821 | + | 13.0029i | −0.516855 | + | 1.13176i | ||||
\(133\) | −1.62285 | + | 20.0867i | −0.140719 | + | 1.74174i | ||||
\(134\) | 4.18898 | + | 9.17258i | 0.361873 | + | 0.792390i | ||||
\(135\) | 1.00442 | + | 0.402109i | 0.0864466 | + | 0.0346080i | ||||
\(136\) | 0.565145 | − | 11.8639i | 0.0484608 | − | 1.01732i | ||||
\(137\) | −2.32403 | − | 4.02534i | −0.198556 | − | 0.343908i | 0.749505 | − | 0.661999i | \(-0.230292\pi\) |
−0.948060 | + | 0.318091i | \(0.896958\pi\) | |||||||
\(138\) | −5.45205 | + | 10.4635i | −0.464109 | + | 0.890712i | ||||
\(139\) | 15.1472 | 1.28477 | 0.642384 | − | 0.766383i | \(-0.277946\pi\) | ||||
0.642384 | + | 0.766383i | \(0.277946\pi\) | |||||||
\(140\) | −11.4571 | + | 1.81818i | −0.968304 | + | 0.153665i | ||||
\(141\) | 1.19158 | + | 8.28762i | 0.100349 | + | 0.697944i | ||||
\(142\) | 4.19393 | + | 0.400472i | 0.351947 | + | 0.0336069i | ||||
\(143\) | −4.23921 | − | 17.4743i | −0.354501 | − | 1.46127i | ||||
\(144\) | −4.29877 | + | 0.410483i | −0.358231 | + | 0.0342069i | ||||
\(145\) | 3.60703 | + | 10.4218i | 0.299547 | + | 0.865485i | ||||
\(146\) | −0.109787 | + | 0.763588i | −0.00908607 | + | 0.0631950i | ||||
\(147\) | 5.37385 | − | 4.48573i | 0.443228 | − | 0.369976i | ||||
\(148\) | −26.5564 | − | 30.6477i | −2.18292 | − | 2.51923i | ||||
\(149\) | 0.771465 | + | 16.1950i | 0.0632009 | + | 1.32675i | 0.778373 | + | 0.627802i | \(0.216045\pi\) |
−0.715172 | + | 0.698948i | \(0.753652\pi\) | |||||||
\(150\) | 8.37392 | + | 4.31705i | 0.683727 | + | 0.352486i | ||||
\(151\) | 4.85505 | − | 14.0277i | 0.395098 | − | 1.14156i | −0.555601 | − | 0.831449i | \(-0.687512\pi\) |
0.950700 | − | 0.310113i | \(-0.100367\pi\) | |||||||
\(152\) | 9.06804 | − | 37.3790i | 0.735515 | − | 3.03184i | ||||
\(153\) | −0.334730 | + | 2.32810i | −0.0270613 | + | 0.188216i | ||||
\(154\) | 0.334792 | + | 22.9570i | 0.0269783 | + | 1.84992i | ||||
\(155\) | 2.03351 | − | 4.45276i | 0.163335 | − | 0.357654i | ||||
\(156\) | 14.9516 | − | 14.2563i | 1.19709 | − | 1.14142i | ||||
\(157\) | −1.22407 | + | 1.71897i | −0.0976918 | + | 0.137189i | −0.860529 | − | 0.509402i | \(-0.829867\pi\) |
0.762837 | + | 0.646591i | \(0.223806\pi\) | |||||||
\(158\) | −6.17212 | + | 4.85381i | −0.491028 | + | 0.386149i | ||||
\(159\) | 4.92126 | − | 2.53709i | 0.390282 | − | 0.201204i | ||||
\(160\) | 0.567319 | 0.0448505 | ||||||||
\(161\) | −0.474025 | + | 12.6797i | −0.0373584 | + | 0.999302i | ||||
\(162\) | 2.46020 | 0.193292 | ||||||||
\(163\) | 0.350754 | − | 0.180827i | 0.0274732 | − | 0.0141634i | −0.444435 | − | 0.895811i | \(-0.646596\pi\) |
0.471908 | + | 0.881648i | \(0.343565\pi\) | |||||||
\(164\) | −28.0207 | + | 22.0357i | −2.18805 | + | 1.72070i | ||||
\(165\) | −2.21364 | + | 3.10862i | −0.172331 | + | 0.242005i | ||||
\(166\) | 8.41984 | − | 8.02830i | 0.653506 | − | 0.623117i | ||||
\(167\) | −3.68393 | + | 8.06667i | −0.285071 | + | 0.624218i | −0.996947 | − | 0.0780875i | \(-0.975119\pi\) |
0.711876 | + | 0.702305i | \(0.247846\pi\) | |||||||
\(168\) | −11.4719 | + | 6.84826i | −0.885075 | + | 0.528355i | ||||
\(169\) | −1.84821 | + | 12.8546i | −0.142170 | + | 0.988814i | ||||
\(170\) | 1.47597 | − | 6.08404i | 0.113202 | − | 0.466625i | ||||
\(171\) | −2.49121 | + | 7.19787i | −0.190507 | + | 0.550435i | ||||
\(172\) | 19.4932 | + | 10.0495i | 1.48634 | + | 0.766264i | ||||
\(173\) | −0.0937569 | − | 1.96820i | −0.00712820 | − | 0.149639i | −0.999625 | − | 0.0273715i | \(-0.991286\pi\) |
0.992497 | − | 0.122268i | \(-0.0390167\pi\) | |||||||
\(174\) | 16.4224 | + | 18.9524i | 1.24498 | + | 1.43678i | ||||
\(175\) | 10.1263 | + | 0.334465i | 0.765473 | + | 0.0252832i | ||||
\(176\) | 2.16774 | − | 15.0769i | 0.163399 | − | 1.13647i | ||||
\(177\) | 0.454364 | + | 1.31280i | 0.0341521 | + | 0.0986760i | ||||
\(178\) | −22.3782 | + | 2.13686i | −1.67732 | + | 0.160164i | ||||
\(179\) | −3.08964 | − | 12.7357i | −0.230930 | − | 0.951908i | −0.962746 | − | 0.270406i | \(-0.912842\pi\) |
0.731816 | − | 0.681502i | \(-0.238673\pi\) | |||||||
\(180\) | −4.36472 | − | 0.416781i | −0.325327 | − | 0.0310650i | ||||
\(181\) | −1.79548 | − | 12.4878i | −0.133457 | − | 0.928211i | −0.941001 | − | 0.338404i | \(-0.890113\pi\) |
0.807544 | − | 0.589807i | \(-0.200796\pi\) | |||||||
\(182\) | 11.8818 | − | 30.9812i | 0.880739 | − | 2.29648i | ||||
\(183\) | 0.984139 | 0.0727496 | ||||||||
\(184\) | 4.68667 | − | 23.7601i | 0.345506 | − | 1.75162i | ||||
\(185\) | −5.41317 | − | 9.37589i | −0.397985 | − | 0.689329i | ||||
\(186\) | 0.529641 | − | 11.1185i | 0.0388351 | − | 0.815250i | ||||
\(187\) | −7.70203 | − | 3.08343i | −0.563229 | − | 0.225483i | ||||
\(188\) | −14.0958 | − | 30.8654i | −1.02804 | − | 2.25109i | ||||
\(189\) | 2.39038 | − | 1.13406i | 0.173874 | − | 0.0824908i | ||||
\(190\) | 8.42208 | − | 18.4418i | 0.611002 | − | 1.33791i | ||||
\(191\) | −4.30638 | − | 12.4425i | −0.311599 | − | 0.900306i | −0.986696 | − | 0.162577i | \(-0.948019\pi\) |
0.675097 | − | 0.737729i | \(-0.264102\pi\) | |||||||
\(192\) | −6.82036 | + | 2.73046i | −0.492217 | + | 0.197054i | ||||
\(193\) | 5.11234 | + | 4.87460i | 0.367994 | + | 0.350882i | 0.851402 | − | 0.524513i | \(-0.175753\pi\) |
−0.483408 | + | 0.875395i | \(0.660601\pi\) | |||||||
\(194\) | 18.3515 | − | 3.53697i | 1.31756 | − | 0.253939i | ||||
\(195\) | 4.63978 | − | 2.98181i | 0.332262 | − | 0.213532i | ||||
\(196\) | −15.7743 | + | 23.5780i | −1.12674 | + | 1.68415i | ||||
\(197\) | 12.2691 | + | 14.1593i | 0.874138 | + | 1.00881i | 0.999860 | + | 0.0167434i | \(0.00532983\pi\) |
−0.125722 | + | 0.992066i | \(0.540125\pi\) | |||||||
\(198\) | −2.04588 | + | 8.43322i | −0.145394 | + | 0.599323i | ||||
\(199\) | 21.2276 | − | 8.49823i | 1.50478 | − | 0.602424i | 0.534665 | − | 0.845064i | \(-0.320438\pi\) |
0.970116 | + | 0.242641i | \(0.0780136\pi\) | |||||||
\(200\) | −18.9885 | − | 3.65973i | −1.34269 | − | 0.258782i | ||||
\(201\) | 2.37753 | + | 3.33877i | 0.167698 | + | 0.235499i | ||||
\(202\) | 0.799299 | + | 0.234695i | 0.0562385 | + | 0.0165131i | ||||
\(203\) | 24.6927 | + | 10.8444i | 1.73309 | + | 0.761130i | ||||
\(204\) | −1.35652 | − | 9.43484i | −0.0949757 | − | 0.660571i | ||||
\(205\) | −8.45883 | + | 4.36083i | −0.590790 | + | 0.304574i | ||||
\(206\) | −12.6964 | − | 21.9908i | −0.884599 | − | 1.53217i | ||||
\(207\) | −1.37114 | + | 4.59565i | −0.0953011 | + | 0.319419i | ||||
\(208\) | −11.0068 | + | 19.0644i | −0.763185 | + | 1.32188i | ||||
\(209\) | −22.6016 | − | 14.5252i | −1.56339 | − | 1.00473i | ||||
\(210\) | −6.62069 | + | 2.40011i | −0.456871 | + | 0.165623i | ||||
\(211\) | 5.73829 | + | 12.5651i | 0.395040 | + | 0.865018i | 0.997749 | + | 0.0670567i | \(0.0213608\pi\) |
−0.602709 | + | 0.797961i | \(0.705912\pi\) | |||||||
\(212\) | −16.2393 | + | 15.4841i | −1.11532 | + | 1.06345i | ||||
\(213\) | 1.70471 | − | 0.162780i | 0.116805 | − | 0.0111535i | ||||
\(214\) | 8.79359 | + | 1.69483i | 0.601118 | + | 0.115856i | ||||
\(215\) | 4.60231 | + | 3.61930i | 0.313875 | + | 0.246834i | ||||
\(216\) | −4.84524 | + | 1.42269i | −0.329677 | + | 0.0968019i | ||||
\(217\) | −4.61062 | − | 11.0471i | −0.312989 | − | 0.749927i | ||||
\(218\) | 34.2827 | − | 22.0322i | 2.32192 | − | 1.49221i | ||||
\(219\) | 0.0149202 | + | 0.313213i | 0.00100821 | + | 0.0211650i | ||||
\(220\) | 5.05832 | − | 14.6151i | 0.341032 | − | 0.985347i | ||||
\(221\) | 8.67760 | + | 8.27408i | 0.583719 | + | 0.556575i | ||||
\(222\) | −19.3513 | − | 15.2180i | −1.29877 | − | 1.02137i | ||||
\(223\) | −0.251491 | + | 0.290236i | −0.0168411 | + | 0.0194357i | −0.764108 | − | 0.645089i | \(-0.776820\pi\) |
0.747267 | + | 0.664524i | \(0.231366\pi\) | |||||||
\(224\) | 0.942629 | − | 1.01792i | 0.0629820 | − | 0.0680124i | ||||
\(225\) | 3.67433 | + | 1.07888i | 0.244955 | + | 0.0719254i | ||||
\(226\) | 31.9117 | + | 3.04720i | 2.12273 | + | 0.202696i | ||||
\(227\) | 6.67155 | − | 5.24656i | 0.442806 | − | 0.348227i | −0.371728 | − | 0.928342i | \(-0.621235\pi\) |
0.814535 | + | 0.580115i | \(0.196992\pi\) | |||||||
\(228\) | 1.46875 | − | 30.8328i | 0.0972701 | − | 2.04195i | ||||
\(229\) | 6.41406 | − | 11.1095i | 0.423853 | − | 0.734135i | −0.572460 | − | 0.819933i | \(-0.694011\pi\) |
0.996313 | + | 0.0857980i | \(0.0273440\pi\) | |||||||
\(230\) | 4.79587 | − | 11.8301i | 0.316230 | − | 0.780054i | ||||
\(231\) | 1.89959 | + | 9.13695i | 0.124984 | + | 0.601167i | ||||
\(232\) | −43.3029 | − | 27.8291i | −2.84298 | − | 1.82707i | ||||
\(233\) | 15.2107 | + | 6.08946i | 0.996488 | + | 0.398934i | 0.811846 | − | 0.583872i | \(-0.198463\pi\) |
0.184643 | + | 0.982806i | \(0.440887\pi\) | |||||||
\(234\) | 7.27474 | − | 10.2159i | 0.475565 | − | 0.667837i | ||||
\(235\) | −2.13568 | − | 8.80339i | −0.139316 | − | 0.574270i | ||||
\(236\) | −3.26565 | − | 4.58596i | −0.212576 | − | 0.298521i | ||||
\(237\) | −2.09007 | + | 2.41207i | −0.135765 | + | 0.156681i | ||||
\(238\) | −8.46393 | − | 12.7572i | −0.548635 | − | 0.826927i | ||||
\(239\) | 9.36530 | − | 2.74990i | 0.605791 | − | 0.177876i | 0.0355694 | − | 0.999367i | \(-0.488676\pi\) |
0.570222 | + | 0.821491i | \(0.306857\pi\) | |||||||
\(240\) | 4.58765 | − | 0.884197i | 0.296131 | − | 0.0570746i | ||||
\(241\) | −8.79060 | − | 4.53187i | −0.566253 | − | 0.291923i | 0.151232 | − | 0.988498i | \(-0.451676\pi\) |
−0.717484 | + | 0.696575i | \(0.754706\pi\) | |||||||
\(242\) | −3.15269 | − | 1.62533i | −0.202663 | − | 0.104480i | ||||
\(243\) | 0.981929 | − | 0.189251i | 0.0629908 | − | 0.0121405i | ||||
\(244\) | −3.82676 | + | 1.12364i | −0.244983 | + | 0.0719336i | ||||
\(245\) | −5.32642 | + | 5.38388i | −0.340292 | + | 0.343963i | ||||
\(246\) | −14.1714 | + | 16.3547i | −0.903538 | + | 1.04274i | ||||
\(247\) | 22.5226 | + | 31.6286i | 1.43308 | + | 2.01248i | ||||
\(248\) | 5.38655 | + | 22.2036i | 0.342046 | + | 1.40993i | ||||
\(249\) | 2.74299 | − | 3.85199i | 0.173830 | − | 0.244110i | ||||
\(250\) | −21.8182 | − | 8.73470i | −1.37991 | − | 0.552431i | ||||
\(251\) | −5.47877 | − | 3.52099i | −0.345817 | − | 0.222243i | 0.356189 | − | 0.934414i | \(-0.384076\pi\) |
−0.702006 | + | 0.712171i | \(0.747712\pi\) | |||||||
\(252\) | −8.00001 | + | 7.13893i | −0.503954 | + | 0.449710i | ||||
\(253\) | −14.6130 | − | 8.52178i | −0.918711 | − | 0.535760i | ||||
\(254\) | −12.2432 | + | 21.2058i | −0.768204 | + | 1.33057i | ||||
\(255\) | 0.121082 | − | 2.54183i | 0.00758248 | − | 0.159176i | ||||
\(256\) | 25.4311 | − | 19.9992i | 1.58944 | − | 1.24995i | ||||
\(257\) | −19.1809 | − | 1.83155i | −1.19647 | − | 0.114249i | −0.522259 | − | 0.852787i | \(-0.674911\pi\) |
−0.674212 | + | 0.738537i | \(0.735517\pi\) | |||||||
\(258\) | 12.7744 | + | 3.75091i | 0.795302 | + | 0.233522i | ||||
\(259\) | −25.8170 | − | 5.86588i | −1.60419 | − | 0.364488i | ||||
\(260\) | −14.6370 | + | 16.8920i | −0.907750 | + | 1.04760i | ||||
\(261\) | 8.01251 | + | 6.30111i | 0.495962 | + | 0.390029i | ||||
\(262\) | 38.6380 | + | 36.8413i | 2.38707 | + | 2.27606i | ||||
\(263\) | −2.19035 | + | 6.32861i | −0.135063 | + | 0.390239i | −0.992169 | − | 0.124901i | \(-0.960139\pi\) |
0.857106 | + | 0.515140i | \(0.172260\pi\) | |||||||
\(264\) | −0.847532 | − | 17.7919i | −0.0521620 | − | 1.09502i | ||||
\(265\) | −5.03938 | + | 3.23861i | −0.309566 | + | 0.198946i | ||||
\(266\) | −19.0956 | − | 45.7533i | −1.17083 | − | 2.80532i | ||||
\(267\) | −8.76732 | + | 2.57432i | −0.536551 | + | 0.157546i | ||||
\(268\) | −13.0569 | − | 10.2681i | −0.797577 | − | 0.627221i | ||||
\(269\) | −4.34275 | − | 0.836997i | −0.264782 | − | 0.0510326i | 0.0551320 | − | 0.998479i | \(-0.482442\pi\) |
−0.319914 | + | 0.947446i | \(0.603654\pi\) | |||||||
\(270\) | −2.64969 | + | 0.253014i | −0.161255 | + | 0.0153980i | ||||
\(271\) | 23.0383 | − | 21.9670i | 1.39948 | − | 1.33440i | 0.523523 | − | 0.852012i | \(-0.324617\pi\) |
0.875957 | − | 0.482389i | \(-0.160231\pi\) | |||||||
\(272\) | 4.21932 | + | 9.23901i | 0.255834 | + | 0.560198i | ||||
\(273\) | 2.35910 | − | 13.2794i | 0.142779 | − | 0.803705i | ||||
\(274\) | 9.61989 | + | 6.18233i | 0.581159 | + | 0.373488i | ||||
\(275\) | −6.75379 | + | 11.6979i | −0.407269 | + | 0.705410i | ||||
\(276\) | 0.0845368 | − | 19.4354i | 0.00508852 | − | 1.16987i | ||||
\(277\) | 4.65884 | + | 8.06935i | 0.279923 | + | 0.484840i | 0.971365 | − | 0.237591i | \(-0.0763578\pi\) |
−0.691443 | + | 0.722431i | \(0.743024\pi\) | |||||||
\(278\) | −33.1226 | + | 17.0759i | −1.98656 | + | 1.02414i | ||||
\(279\) | −0.643901 | − | 4.47843i | −0.0385493 | − | 0.268116i | ||||
\(280\) | 11.6512 | − | 8.55552i | 0.696290 | − | 0.511290i | ||||
\(281\) | 5.23390 | + | 1.53681i | 0.312228 | + | 0.0916785i | 0.434093 | − | 0.900868i | \(-0.357069\pi\) |
−0.121864 | + | 0.992547i | \(0.538887\pi\) | |||||||
\(282\) | −11.9485 | − | 16.7794i | −0.711525 | − | 0.999197i | ||||
\(283\) | −20.0451 | − | 3.86338i | −1.19156 | − | 0.229654i | −0.445344 | − | 0.895360i | \(-0.646918\pi\) |
−0.746214 | + | 0.665706i | \(0.768131\pi\) | |||||||
\(284\) | −6.44280 | + | 2.57931i | −0.382310 | + | 0.153054i | ||||
\(285\) | 1.94283 | − | 8.00845i | 0.115083 | − | 0.474380i | ||||
\(286\) | 28.9692 | + | 33.4322i | 1.71298 | + | 1.97689i | ||||
\(287\) | −6.23031 | + | 22.4230i | −0.367764 | + | 1.32359i | ||||
\(288\) | 0.441123 | − | 0.283493i | 0.0259934 | − | 0.0167050i | ||||
\(289\) | −11.2607 | + | 2.17032i | −0.662392 | + | 0.127666i | ||||
\(290\) | −19.6364 | − | 18.7232i | −1.15309 | − | 1.09947i | ||||
\(291\) | 7.05248 | − | 2.82339i | 0.413423 | − | 0.165510i | ||||
\(292\) | −0.415626 | − | 1.20087i | −0.0243227 | − | 0.0702757i | ||||
\(293\) | 0.631022 | − | 1.38175i | 0.0368647 | − | 0.0807225i | −0.890304 | − | 0.455367i | \(-0.849508\pi\) |
0.927168 | + | 0.374645i | \(0.122235\pi\) | |||||||
\(294\) | −6.69418 | + | 15.8671i | −0.390413 | + | 0.925388i | ||||
\(295\) | −0.624372 | − | 1.36718i | −0.0363523 | − | 0.0796005i | ||||
\(296\) | 46.9117 | + | 18.7806i | 2.72669 | + | 1.09160i | ||||
\(297\) | −0.167835 | + | 3.52329i | −0.00973878 | + | 0.204442i | ||||
\(298\) | −19.9441 | − | 34.5442i | −1.15533 | − | 2.00109i | ||||
\(299\) | 15.0289 | + | 19.2828i | 0.869144 | + | 1.11516i | ||||
\(300\) | −15.5192 | −0.896002 | ||||||||
\(301\) | 14.1409 | − | 2.24409i | 0.815069 | − | 0.129347i | ||||
\(302\) | 5.19729 | + | 36.1479i | 0.299070 | + | 2.08008i | ||||
\(303\) | 0.337074 | + | 0.0321867i | 0.0193644 | + | 0.00184908i | ||||
\(304\) | 7.75453 | + | 31.9646i | 0.444753 | + | 1.83329i | ||||
\(305\) | −1.05994 | + | 0.101212i | −0.0606918 | + | 0.00579537i | ||||
\(306\) | −1.89258 | − | 5.46824i | −0.108191 | − | 0.312598i | ||||
\(307\) | −2.28859 | + | 15.9175i | −0.130617 | + | 0.908458i | 0.814136 | + | 0.580674i | \(0.197211\pi\) |
−0.944753 | + | 0.327784i | \(0.893698\pi\) | |||||||
\(308\) | −17.8185 | − | 33.3596i | −1.01530 | − | 1.90084i | ||||
\(309\) | −6.75909 | − | 7.80040i | −0.384511 | − | 0.443749i | ||||
\(310\) | 0.573028 | + | 12.0293i | 0.0325458 | + | 0.683221i | ||||
\(311\) | 20.4657 | + | 10.5508i | 1.16051 | + | 0.598282i | 0.927364 | − | 0.374160i | \(-0.122069\pi\) |
0.233142 | + | 0.972443i | \(0.425099\pi\) | |||||||
\(312\) | −8.41953 | + | 24.3266i | −0.476662 | + | 1.37722i | ||||
\(313\) | −5.26565 | + | 21.7053i | −0.297632 | + | 1.22686i | 0.604924 | + | 0.796283i | \(0.293204\pi\) |
−0.902556 | + | 0.430573i | \(0.858312\pi\) | |||||||
\(314\) | 0.738854 | − | 5.13884i | 0.0416959 | − | 0.290001i | ||||
\(315\) | −2.45785 | + | 1.46724i | −0.138484 | + | 0.0826696i | ||||
\(316\) | 5.37313 | − | 11.7655i | 0.302262 | − | 0.661862i | ||||
\(317\) | −2.08909 | + | 1.99194i | −0.117335 | + | 0.111879i | −0.746475 | − | 0.665413i | \(-0.768255\pi\) |
0.629141 | + | 0.777292i | \(0.283407\pi\) | |||||||
\(318\) | −7.90126 | + | 11.0958i | −0.443081 | + | 0.622220i | ||||
\(319\) | −28.2624 | + | 22.2258i | −1.58239 | + | 1.24441i | ||||
\(320\) | 7.06485 | − | 3.64218i | 0.394937 | − | 0.203604i | ||||
\(321\) | 3.64012 | 0.203172 | ||||||||
\(322\) | −13.2577 | − | 28.2613i | −0.738821 | − | 1.57494i | ||||
\(323\) | 17.9150 | 0.996816 | ||||||||
\(324\) | −3.60209 | + | 1.85701i | −0.200116 | + | 0.103167i | ||||
\(325\) | 15.3449 | − | 12.0674i | 0.851183 | − | 0.669378i | ||||
\(326\) | −0.563149 | + | 0.790832i | −0.0311899 | + | 0.0438001i | ||||
\(327\) | 11.9883 | − | 11.4308i | 0.662953 | − | 0.632124i | ||||
\(328\) | 18.4523 | − | 40.4048i | 1.01886 | − | 2.23098i | ||||
\(329\) | −19.3441 | − | 10.7953i | −1.06647 | − | 0.595165i | ||||
\(330\) | 1.33615 | − | 9.29315i | 0.0735528 | − | 0.511571i | ||||
\(331\) | −4.25155 | + | 17.5251i | −0.233687 | + | 0.963269i | 0.727222 | + | 0.686403i | \(0.240811\pi\) |
−0.960908 | + | 0.276867i | \(0.910704\pi\) | |||||||
\(332\) | −6.26794 | + | 18.1100i | −0.343998 | + | 0.993917i | ||||
\(333\) | −8.89424 | − | 4.58530i | −0.487401 | − | 0.251273i | ||||
\(334\) | −1.03811 | − | 21.7925i | −0.0568026 | − | 1.19243i | ||||
\(335\) | −2.90401 | − | 3.35141i | −0.158663 | − | 0.183107i | ||||
\(336\) | 6.03613 | − | 9.70055i | 0.329298 | − | 0.529208i | ||||
\(337\) | 2.58359 | − | 17.9692i | 0.140737 | − | 0.978847i | −0.789987 | − | 0.613124i | \(-0.789913\pi\) |
0.930724 | − | 0.365723i | \(-0.119178\pi\) | |||||||
\(338\) | −10.4498 | − | 30.1928i | −0.568397 | − | 1.64227i | ||||
\(339\) | 12.9712 | − | 1.23860i | 0.704497 | − | 0.0672713i | ||||
\(340\) | 2.43131 | + | 10.0220i | 0.131856 | + | 0.543519i | ||||
\(341\) | 15.8869 | + | 1.51701i | 0.860322 | + | 0.0821508i | ||||
\(342\) | −2.66681 | − | 18.5481i | −0.144205 | − | 1.00297i | ||||
\(343\) | 0.809953 | + | 18.5025i | 0.0437333 | + | 0.999043i | ||||
\(344\) | −27.3277 | −1.47341 | ||||||||
\(345\) | 1.00412 | − | 5.09062i | 0.0540600 | − | 0.274070i | ||||
\(346\) | 2.42383 | + | 4.19820i | 0.130306 | + | 0.225696i | ||||
\(347\) | −0.338991 | + | 7.11630i | −0.0181980 | + | 0.382023i | 0.971335 | + | 0.237715i | \(0.0763986\pi\) |
−0.989533 | + | 0.144308i | \(0.953904\pi\) | |||||||
\(348\) | −38.3504 | − | 15.3532i | −2.05580 | − | 0.823017i | ||||
\(349\) | −9.98495 | − | 21.8640i | −0.534482 | − | 1.17035i | −0.963660 | − | 0.267132i | \(-0.913924\pi\) |
0.429178 | − | 0.903220i | \(-0.358803\pi\) | |||||||
\(350\) | −22.5203 | + | 10.6842i | −1.20376 | + | 0.571097i | ||||
\(351\) | 2.11767 | − | 4.63705i | 0.113033 | − | 0.247507i | ||||
\(352\) | 0.604939 | + | 1.74786i | 0.0322434 | + | 0.0931610i | ||||
\(353\) | 10.5218 | − | 4.21229i | 0.560018 | − | 0.224198i | −0.0743450 | − | 0.997233i | \(-0.523687\pi\) |
0.634363 | + | 0.773035i | \(0.281262\pi\) | |||||||
\(354\) | −2.47352 | − | 2.35850i | −0.131466 | − | 0.125353i | ||||
\(355\) | −1.81927 | + | 0.350635i | −0.0965567 | + | 0.0186098i | ||||
\(356\) | 31.1519 | − | 20.0201i | 1.65105 | − | 1.06106i | ||||
\(357\) | −4.35952 | − | 4.44063i | −0.230730 | − | 0.235023i | ||||
\(358\) | 21.1134 | + | 24.3662i | 1.11588 | + | 1.28779i | ||||
\(359\) | 5.92040 | − | 24.4042i | 0.312467 | − | 1.28801i | −0.571557 | − | 0.820562i | \(-0.693660\pi\) |
0.884023 | − | 0.467443i | \(-0.154825\pi\) | |||||||
\(360\) | 5.07211 | − | 2.03057i | 0.267324 | − | 0.107020i | ||||
\(361\) | 38.3104 | + | 7.38372i | 2.01634 | + | 0.388617i | ||||
\(362\) | 18.0041 | + | 25.2832i | 0.946273 | + | 1.32885i | ||||
\(363\) | −1.38335 | − | 0.406187i | −0.0726069 | − | 0.0213193i | ||||
\(364\) | 5.98849 | + | 54.3295i | 0.313882 | + | 2.84764i | ||||
\(365\) | −0.0482810 | − | 0.335802i | −0.00252715 | − | 0.0175767i | ||||
\(366\) | −2.15203 | + | 1.10945i | −0.112488 | + | 0.0579918i | ||||
\(367\) | 1.01822 | + | 1.76362i | 0.0531509 | + | 0.0920601i | 0.891377 | − | 0.453263i | \(-0.149740\pi\) |
−0.838226 | + | 0.545323i | \(0.816407\pi\) | |||||||
\(368\) | 5.74818 | + | 19.8963i | 0.299645 | + | 1.03716i | ||||
\(369\) | −4.39809 | + | 7.61771i | −0.228955 | + | 0.396562i | ||||
\(370\) | 22.4068 | + | 14.4000i | 1.16487 | + | 0.748619i | ||||
\(371\) | −2.56227 | + | 14.4230i | −0.133027 | + | 0.748807i | ||||
\(372\) | 7.61700 | + | 16.6789i | 0.394923 | + | 0.864761i | ||||
\(373\) | −14.3720 | + | 13.7037i | −0.744153 | + | 0.709548i | −0.963975 | − | 0.265992i | \(-0.914301\pi\) |
0.219822 | + | 0.975540i | \(0.429452\pi\) | |||||||
\(374\) | 20.3182 | − | 1.94015i | 1.05063 | − | 0.100323i | ||||
\(375\) | −9.38012 | − | 1.80787i | −0.484387 | − | 0.0933580i | ||||
\(376\) | 33.2352 | + | 26.1365i | 1.71398 | + | 1.34789i | ||||
\(377\) | 49.8580 | − | 14.6396i | 2.56782 | − | 0.753979i | ||||
\(378\) | −3.94861 | + | 5.17461i | −0.203095 | + | 0.266153i | ||||
\(379\) | 15.6775 | − | 10.0753i | 0.805299 | − | 0.517534i | −0.0720418 | − | 0.997402i | \(-0.522952\pi\) |
0.877341 | + | 0.479867i | \(0.159315\pi\) | |||||||
\(380\) | 1.58906 | + | 33.3586i | 0.0815173 | + | 1.71126i | ||||
\(381\) | −3.25530 | + | 9.40557i | −0.166774 | + | 0.481862i | ||||
\(382\) | 23.4436 | + | 22.3534i | 1.19948 | + | 1.14370i | ||||
\(383\) | −4.59446 | − | 3.61312i | −0.234766 | − | 0.184622i | 0.493845 | − | 0.869550i | \(-0.335591\pi\) |
−0.728611 | + | 0.684928i | \(0.759834\pi\) | |||||||
\(384\) | 12.5228 | − | 14.4521i | 0.639052 | − | 0.737506i | ||||
\(385\) | −2.98557 | − | 9.64532i | −0.152159 | − | 0.491571i | ||||
\(386\) | −16.6745 | − | 4.89608i | −0.848710 | − | 0.249204i | ||||
\(387\) | 5.38714 | + | 0.514410i | 0.273844 | + | 0.0261489i | ||||
\(388\) | −24.1995 | + | 19.0307i | −1.22854 | + | 0.966137i | ||||
\(389\) | −0.213405 | + | 4.47993i | −0.0108201 | + | 0.227141i | 0.986980 | + | 0.160844i | \(0.0514216\pi\) |
−0.997800 | + | 0.0662973i | \(0.978881\pi\) | |||||||
\(390\) | −6.78440 | + | 11.7509i | −0.343542 | + | 0.595032i | ||||
\(391\) | 11.2694 | − | 0.487710i | 0.569920 | − | 0.0246646i | ||||
\(392\) | 4.00819 | − | 35.1206i | 0.202444 | − | 1.77386i | ||||
\(393\) | 18.2554 | + | 11.7321i | 0.920865 | + | 0.591804i | ||||
\(394\) | −42.7912 | − | 17.1310i | −2.15579 | − | 0.863049i | ||||
\(395\) | 2.00298 | − | 2.81280i | 0.100781 | − | 0.141527i | ||||
\(396\) | −3.37009 | − | 13.8917i | −0.169354 | − | 0.698085i | ||||
\(397\) | 6.49993 | + | 9.12788i | 0.326222 | + | 0.458115i | 0.944819 | − | 0.327594i | \(-0.106238\pi\) |
−0.618596 | + | 0.785709i | \(0.712298\pi\) | |||||||
\(398\) | −36.8383 | + | 42.5137i | −1.84654 | + | 2.13102i | ||||
\(399\) | −11.1411 | − | 16.7924i | −0.557753 | − | 0.840670i | ||||
\(400\) | 15.8670 | − | 4.65896i | 0.793348 | − | 0.232948i | ||||
\(401\) | 18.0796 | − | 3.48456i | 0.902853 | − | 0.174011i | 0.283361 | − | 0.959013i | \(-0.408551\pi\) |
0.619492 | + | 0.785003i | \(0.287338\pi\) | |||||||
\(402\) | −8.96287 | − | 4.62068i | −0.447027 | − | 0.230459i | ||||
\(403\) | −20.5006 | − | 10.5688i | −1.02121 | − | 0.526469i | ||||
\(404\) | −1.34744 | + | 0.259698i | −0.0670377 | + | 0.0129205i | ||||
\(405\) | −1.03809 | + | 0.304812i | −0.0515833 | + | 0.0151462i | ||||
\(406\) | −66.2211 | + | 4.12310i | −3.28650 | + | 0.204626i | ||||
\(407\) | 23.1141 | − | 26.6751i | 1.14572 | − | 1.32224i | ||||
\(408\) | 6.88952 | + | 9.67497i | 0.341082 | + | 0.478983i | ||||
\(409\) | −0.238184 | − | 0.981809i | −0.0117775 | − | 0.0485473i | 0.965620 | − | 0.259959i | \(-0.0837091\pi\) |
−0.977397 | + | 0.211412i | \(0.932194\pi\) | |||||||
\(410\) | 13.5810 | − | 19.0718i | 0.670715 | − | 0.941888i | ||||
\(411\) | 4.31512 | + | 1.72751i | 0.212849 | + | 0.0852119i | ||||
\(412\) | 35.1884 | + | 22.6142i | 1.73361 | + | 1.11412i | ||||
\(413\) | −3.49050 | − | 1.15136i | −0.171756 | − | 0.0566547i | ||||
\(414\) | −2.18251 | − | 11.5951i | −0.107264 | − | 0.569868i | ||||
\(415\) | −2.55811 | + | 4.43077i | −0.125573 | + | 0.217498i | ||||
\(416\) | 0.127189 | − | 2.67003i | 0.00623597 | − | 0.130909i | ||||
\(417\) | −11.9065 | + | 9.36337i | −0.583063 | + | 0.458526i | ||||
\(418\) | 65.7979 | + | 6.28294i | 3.21828 | + | 0.307309i | ||||
\(419\) | −5.79132 | − | 1.70049i | −0.282925 | − | 0.0830742i | 0.137191 | − | 0.990545i | \(-0.456192\pi\) |
−0.420116 | + | 0.907470i | \(0.638011\pi\) | |||||||
\(420\) | 7.88199 | − | 8.51152i | 0.384602 | − | 0.415320i | ||||
\(421\) | −17.1538 | + | 19.7966i | −0.836027 | + | 0.964827i | −0.999765 | − | 0.0216768i | \(-0.993100\pi\) |
0.163738 | + | 0.986504i | \(0.447645\pi\) | |||||||
\(422\) | −26.7130 | − | 21.0074i | −1.30037 | − | 1.02262i | ||||
\(423\) | −6.05971 | − | 5.77793i | −0.294633 | − | 0.280932i | ||||
\(424\) | 9.14464 | − | 26.4217i | 0.444103 | − | 1.28315i | ||||
\(425\) | −0.428571 | − | 8.99682i | −0.0207888 | − | 0.436410i | ||||
\(426\) | −3.54421 | + | 2.27773i | −0.171718 | + | 0.110356i | ||||
\(427\) | −1.57954 | + | 2.06997i | −0.0764392 | + | 0.100173i | ||||
\(428\) | −14.1544 | + | 4.15610i | −0.684177 | + | 0.200893i | ||||
\(429\) | 14.1341 | + | 11.1152i | 0.682402 | + | 0.536647i | ||||
\(430\) | −14.1441 | − | 2.72605i | −0.682088 | − | 0.131462i | ||||
\(431\) | −9.62495 | + | 0.919071i | −0.463617 | + | 0.0442701i | −0.324252 | − | 0.945971i | \(-0.605112\pi\) |
−0.139366 | + | 0.990241i | \(0.544506\pi\) | |||||||
\(432\) | 3.12532 | − | 2.97999i | 0.150367 | − | 0.143375i | ||||
\(433\) | −5.71560 | − | 12.5154i | −0.274674 | − | 0.601453i | 0.721146 | − | 0.692783i | \(-0.243616\pi\) |
−0.995821 | + | 0.0913297i | \(0.970888\pi\) | |||||||
\(434\) | 22.5358 | + | 18.9592i | 1.08176 | + | 0.910070i | ||||
\(435\) | −9.27766 | − | 5.96239i | −0.444830 | − | 0.285875i | ||||
\(436\) | −33.5645 | + | 58.1354i | −1.60745 | + | 2.78418i | ||||
\(437\) | 36.1341 | + | 5.35581i | 1.72853 | + | 0.256203i | ||||
\(438\) | −0.385720 | − | 0.668087i | −0.0184304 | − | 0.0319224i | ||||
\(439\) | −9.37164 | + | 4.83142i | −0.447284 | + | 0.230591i | −0.667126 | − | 0.744944i | \(-0.732476\pi\) |
0.219843 | + | 0.975535i | \(0.429446\pi\) | |||||||
\(440\) | 2.74258 | + | 19.0751i | 0.130747 | + | 0.909368i | ||||
\(441\) | −1.45124 | + | 6.84791i | −0.0691067 | + | 0.326091i | ||||
\(442\) | −28.3031 | − | 8.31053i | −1.34624 | − | 0.395291i | ||||
\(443\) | −5.33888 | − | 7.49741i | −0.253658 | − | 0.356213i | 0.668037 | − | 0.744128i | \(-0.267135\pi\) |
−0.921695 | + | 0.387915i | \(0.873195\pi\) | |||||||
\(444\) | 39.8199 | + | 7.67466i | 1.88977 | + | 0.364223i | ||||
\(445\) | 9.17783 | − | 3.67425i | 0.435071 | − | 0.174176i | ||||
\(446\) | 0.222747 | − | 0.918177i | 0.0105474 | − | 0.0434770i | ||||
\(447\) | −10.6175 | − | 12.2533i | −0.502192 | − | 0.579560i | ||||
\(448\) | 5.20359 | − | 18.7278i | 0.245846 | − | 0.884806i | ||||
\(449\) | −18.6005 | + | 11.9538i | −0.877810 | + | 0.564134i | −0.900132 | − | 0.435617i | \(-0.856530\pi\) |
0.0223223 | + | 0.999751i | \(0.492894\pi\) | |||||||
\(450\) | −9.25097 | + | 1.78298i | −0.436095 | + | 0.0840504i | ||||
\(451\) | −22.4550 | − | 21.4108i | −1.05737 | − | 1.00820i | ||||
\(452\) | −49.0234 | + | 19.6260i | −2.30586 | + | 0.923129i | ||||
\(453\) | 4.85505 | + | 14.0277i | 0.228110 | + | 0.659081i | ||||
\(454\) | −8.67417 | + | 18.9938i | −0.407099 | + | 0.891422i | ||||
\(455\) | −1.17511 | + | 14.5448i | −0.0550899 | + | 0.681870i | ||||
\(456\) | 15.9782 | + | 34.9874i | 0.748247 | + | 1.63843i | ||||
\(457\) | −4.21531 | − | 1.68756i | −0.197184 | − | 0.0789405i | 0.270969 | − | 0.962588i | \(-0.412656\pi\) |
−0.468153 | + | 0.883648i | \(0.655080\pi\) | |||||||
\(458\) | −1.50167 | + | 31.5240i | −0.0701686 | + | 1.47302i | ||||
\(459\) | −1.17602 | − | 2.03693i | −0.0548919 | − | 0.0950756i | ||||
\(460\) | 1.90774 | + | 20.9410i | 0.0889490 | + | 0.976378i | ||||
\(461\) | −28.1495 | −1.31105 | −0.655526 | − | 0.755173i | \(-0.727553\pi\) | ||||
−0.655526 | + | 0.755173i | \(0.727553\pi\) | |||||||
\(462\) | −14.4542 | − | 17.8384i | −0.672471 | − | 0.829919i | ||||
\(463\) | −0.700211 | − | 4.87007i | −0.0325415 | − | 0.226331i | 0.967060 | − | 0.254547i | \(-0.0819265\pi\) |
−0.999602 | + | 0.0282160i | \(0.991017\pi\) | |||||||
\(464\) | 43.8189 | + | 4.18419i | 2.03424 | + | 0.194246i | ||||
\(465\) | 1.15407 | + | 4.75714i | 0.0535186 | + | 0.220607i | ||||
\(466\) | −40.1264 | + | 3.83160i | −1.85882 | + | 0.177496i | ||||
\(467\) | 7.34230 | + | 21.2142i | 0.339761 | + | 0.981676i | 0.977411 | + | 0.211349i | \(0.0677857\pi\) |
−0.637649 | + | 0.770327i | \(0.720093\pi\) | |||||||
\(468\) | −2.94008 | + | 20.4487i | −0.135905 | + | 0.945242i | ||||
\(469\) | −10.8385 | − | 0.357988i | −0.500473 | − | 0.0165304i | ||||
\(470\) | 14.5944 | + | 16.8429i | 0.673192 | + | 0.776905i | ||||
\(471\) | −0.100411 | − | 2.10788i | −0.00462667 | − | 0.0971258i | ||||
\(472\) | 6.23535 | + | 3.21455i | 0.287005 | + | 0.147962i | ||||
\(473\) | −6.24321 | + | 18.0386i | −0.287063 | + | 0.829415i | ||||
\(474\) | 1.85119 | − | 7.63071i | 0.0850280 | − | 0.350490i | ||||
\(475\) | 4.15105 | − | 28.8712i | 0.190463 | − | 1.32470i | ||||
\(476\) | 22.0218 | + | 12.2897i | 1.00937 | + | 0.563295i | ||||
\(477\) | −2.30005 | + | 5.03641i | −0.105312 | + | 0.230601i | ||||
\(478\) | −17.3792 | + | 16.5710i | −0.794906 | + | 0.757941i | ||||
\(479\) | 9.26174 | − | 13.0063i | 0.423180 | − | 0.594273i | −0.546858 | − | 0.837225i | \(-0.684176\pi\) |
0.970038 | + | 0.242952i | \(0.0781158\pi\) | |||||||
\(480\) | −0.445943 | + | 0.350694i | −0.0203544 | + | 0.0160069i | ||||
\(481\) | −45.3403 | + | 23.3746i | −2.06734 | + | 1.06579i | ||||
\(482\) | 24.3315 | 1.10827 | ||||||||
\(483\) | −7.46547 | − | 10.2600i | −0.339691 | − | 0.466844i | ||||
\(484\) | 5.84282 | 0.265583 | ||||||||
\(485\) | −7.30529 | + | 3.76614i | −0.331716 | + | 0.171012i | ||||
\(486\) | −1.93385 | + | 1.52080i | −0.0877212 | + | 0.0689847i | ||||
\(487\) | −0.472496 | + | 0.663528i | −0.0214109 | + | 0.0300673i | −0.825143 | − | 0.564924i | \(-0.808905\pi\) |
0.803732 | + | 0.594992i | \(0.202845\pi\) | |||||||
\(488\) | 3.59674 | − | 3.42948i | 0.162817 | − | 0.155245i | ||||
\(489\) | −0.163932 | + | 0.358961i | −0.00741327 | + | 0.0162328i | ||||
\(490\) | 5.57795 | − | 17.7776i | 0.251986 | − | 0.803112i | ||||
\(491\) | −3.42021 | + | 23.7881i | −0.154352 | + | 1.07354i | 0.754464 | + | 0.656342i | \(0.227897\pi\) |
−0.908816 | + | 0.417198i | \(0.863012\pi\) | |||||||
\(492\) | 8.40418 | − | 34.6425i | 0.378890 | − | 1.56180i | ||||
\(493\) | 7.84150 | − | 22.6565i | 0.353164 | − | 1.02040i | ||||
\(494\) | −84.9063 | − | 43.7723i | −3.82012 | − | 1.96941i | ||||
\(495\) | −0.181584 | − | 3.81192i | −0.00816159 | − | 0.171333i | ||||
\(496\) | −12.7948 | − | 14.7660i | −0.574503 | − | 0.663011i | ||||
\(497\) | −2.39367 | + | 3.84683i | −0.107371 | + | 0.172554i | ||||
\(498\) | −1.65567 | + | 11.5155i | −0.0741925 | + | 0.516020i | ||||
\(499\) | 9.07391 | + | 26.2173i | 0.406204 | + | 1.17365i | 0.943820 | + | 0.330460i | \(0.107204\pi\) |
−0.537616 | + | 0.843190i | \(0.680675\pi\) | |||||||
\(500\) | 38.5381 | − | 3.67994i | 1.72348 | − | 0.164572i | ||||
\(501\) | −2.09073 | − | 8.61809i | −0.0934067 | − | 0.385028i | ||||
\(502\) | 15.9498 | + | 1.52302i | 0.711876 | + | 0.0679759i | ||||
\(503\) | −1.71484 | − | 11.9270i | −0.0764611 | − | 0.531799i | −0.991669 | − | 0.128816i | \(-0.958882\pi\) |
0.915207 | − | 0.402983i | \(-0.132027\pi\) | |||||||
\(504\) | 4.78420 | − | 12.4745i | 0.213105 | − | 0.555660i | ||||
\(505\) | −0.366346 | −0.0163022 | ||||||||
\(506\) | 41.5613 | + | 2.16103i | 1.84762 | + | 0.0960696i | ||||
\(507\) | −6.49339 | − | 11.2469i | −0.288381 | − | 0.499491i | ||||
\(508\) | 1.91923 | − | 40.2897i | 0.0851522 | − | 1.78756i | ||||
\(509\) | −7.05879 | − | 2.82591i | −0.312875 | − | 0.125256i | 0.209910 | − | 0.977721i | \(-0.432683\pi\) |
−0.522785 | + | 0.852464i | \(0.675107\pi\) | |||||||
\(510\) | 2.60071 | + | 5.69477i | 0.115161 | + | 0.252168i | ||||
\(511\) | −0.682736 | − | 0.471323i | −0.0302025 | − | 0.0208501i | ||||
\(512\) | −17.1770 | + | 37.6123i | −0.759122 | + | 1.66224i | ||||
\(513\) | −2.49121 | − | 7.19787i | −0.109989 | − | 0.317794i | ||||
\(514\) | 44.0079 | − | 17.6181i | 1.94111 | − | 0.777102i | ||||
\(515\) | 8.08189 | + | 7.70607i | 0.356131 | + | 0.339570i | ||||
\(516\) | −21.5349 | + | 4.15051i | −0.948020 | + | 0.182716i | ||||
\(517\) | 24.8451 | − | 15.9670i | 1.09269 | − | 0.702227i | ||||
\(518\) | 63.0672 | − | 16.2773i | 2.77101 | − | 0.715182i | ||||
\(519\) | 1.29036 | + | 1.48915i | 0.0566404 | + | 0.0653665i | ||||
\(520\) | 6.56618 | − | 27.0662i | 0.287946 | − | 1.18693i | ||||
\(521\) | 20.6378 | − | 8.26211i | 0.904156 | − | 0.361970i | 0.127459 | − | 0.991844i | \(-0.459318\pi\) |
0.776697 | + | 0.629874i | \(0.216894\pi\) | |||||||
\(522\) | −24.6245 | − | 4.74598i | −1.07778 | − | 0.207726i | ||||
\(523\) | −0.802633 | − | 1.12714i | −0.0350967 | − | 0.0492864i | 0.796655 | − | 0.604435i | \(-0.206601\pi\) |
−0.831751 | + | 0.555148i | \(0.812662\pi\) | |||||||
\(524\) | −84.3801 | − | 24.7762i | −3.68616 | − | 1.08236i | ||||
\(525\) | −8.16653 | + | 5.99673i | −0.356416 | + | 0.261719i | ||||
\(526\) | −2.34475 | − | 16.3081i | −0.102236 | − | 0.711067i | ||||
\(527\) | −9.45877 | + | 4.87633i | −0.412030 | + | 0.212416i | ||||
\(528\) | 7.61598 | + | 13.1913i | 0.331443 | + | 0.574076i | ||||
\(529\) | 22.8760 | + | 2.38538i | 0.994607 | + | 0.103712i | ||||
\(530\) | 7.36870 | − | 12.7630i | 0.320076 | − | 0.554387i | ||||
\(531\) | −1.16867 | − | 0.751061i | −0.0507161 | − | 0.0325933i | ||||
\(532\) | 62.4941 | + | 52.5757i | 2.70946 | + | 2.27945i | ||||
\(533\) | 18.6274 | + | 40.7883i | 0.806843 | + | 1.76674i | ||||
\(534\) | 16.2695 | − | 15.5130i | 0.704051 | − | 0.671311i | ||||
\(535\) | −3.92048 | + | 0.374361i | −0.169497 | + | 0.0161850i | ||||
\(536\) | 20.3240 | + | 3.91713i | 0.877862 | + | 0.169194i | ||||
\(537\) | 10.3013 | + | 8.10102i | 0.444533 | + | 0.349585i | ||||
\(538\) | 10.4399 | − | 3.06544i | 0.450098 | − | 0.132161i | ||||
\(539\) | −22.2668 | − | 10.6693i | −0.959100 | − | 0.459559i | ||||
\(540\) | 3.68854 | − | 2.37048i | 0.158730 | − | 0.102009i | ||||
\(541\) | −1.02259 | − | 21.4668i | −0.0439645 | − | 0.922929i | −0.907864 | − | 0.419265i | \(-0.862288\pi\) |
0.863899 | − | 0.503664i | \(-0.168015\pi\) | |||||||
\(542\) | −25.6142 | + | 74.0074i | −1.10022 | + | 3.17889i | ||||
\(543\) | 9.13079 | + | 8.70619i | 0.391840 | + | 0.373618i | ||||
\(544\) | −0.969459 | − | 0.762391i | −0.0415652 | − | 0.0326872i | ||||
\(545\) | −11.7360 | + | 13.5441i | −0.502716 | + | 0.580165i | ||||
\(546\) | 9.81156 | + | 31.6977i | 0.419896 | + | 1.35654i | ||||
\(547\) | 24.0427 | + | 7.05958i | 1.02799 | + | 0.301846i | 0.751894 | − | 0.659284i | \(-0.229140\pi\) |
0.276098 | + | 0.961129i | \(0.410959\pi\) | |||||||
\(548\) | −18.7514 | − | 1.79054i | −0.801021 | − | 0.0764883i | ||||
\(549\) | −0.773585 | + | 0.608354i | −0.0330158 | + | 0.0259639i | ||||
\(550\) | 1.58121 | − | 33.1937i | 0.0674231 | − | 1.41538i | ||||
\(551\) | 38.8203 | − | 67.2387i | 1.65380 | − | 2.86446i | ||||
\(552\) | 11.0036 | + | 21.5738i | 0.468343 | + | 0.918244i | ||||
\(553\) | −1.71882 | − | 8.26747i | −0.0730918 | − | 0.351568i | ||||
\(554\) | −19.2844 | − | 12.3933i | −0.819315 | − | 0.526542i | ||||
\(555\) | 10.0508 | + | 4.02375i | 0.426634 | + | 0.170799i | ||||
\(556\) | 35.6070 | − | 50.0031i | 1.51007 | − | 2.12060i | ||||
\(557\) | −1.14813 | − | 4.73264i | −0.0486476 | − | 0.200528i | 0.942302 | − | 0.334765i | \(-0.108657\pi\) |
−0.990949 | + | 0.134237i | \(0.957142\pi\) | |||||||
\(558\) | 6.45669 | + | 9.06715i | 0.273334 | + | 0.383843i | ||||
\(559\) | 18.0657 | − | 20.8489i | 0.764097 | − | 0.881815i | ||||
\(560\) | −5.50340 | + | 11.0685i | −0.232561 | + | 0.467728i | ||||
\(561\) | 7.96026 | − | 2.33734i | 0.336082 | − | 0.0986827i | ||||
\(562\) | −13.1775 | + | 2.53976i | −0.555861 | + | 0.107133i | ||||
\(563\) | −2.47475 | − | 1.27582i | −0.104298 | − | 0.0537695i | 0.405288 | − | 0.914189i | \(-0.367171\pi\) |
−0.509586 | + | 0.860420i | \(0.670202\pi\) | |||||||
\(564\) | 30.1597 | + | 15.5484i | 1.26995 | + | 0.654707i | ||||
\(565\) | −13.8428 | + | 2.66799i | −0.582372 | + | 0.112243i | ||||
\(566\) | 48.1882 | − | 14.1493i | 2.02550 | − | 0.594741i | ||||
\(567\) | −1.17793 | + | 2.36907i | −0.0494685 | + | 0.0994914i | ||||
\(568\) | 5.66297 | − | 6.53542i | 0.237613 | − | 0.274220i | ||||
\(569\) | −18.8043 | − | 26.4069i | −0.788316 | − | 1.10703i | −0.991780 | − | 0.127952i | \(-0.959160\pi\) |
0.203465 | − | 0.979082i | \(-0.434780\pi\) | |||||||
\(570\) | 4.77975 | + | 19.7024i | 0.200202 | + | 0.825243i | ||||
\(571\) | 14.6283 | − | 20.5426i | 0.612175 | − | 0.859680i | −0.385846 | − | 0.922563i | \(-0.626090\pi\) |
0.998021 | + | 0.0628834i | \(0.0200296\pi\) | |||||||
\(572\) | −67.6503 | − | 27.0831i | −2.82860 | − | 1.13240i | ||||
\(573\) | 11.0765 | + | 7.11842i | 0.462726 | + | 0.297376i | ||||
\(574\) | −11.6542 | − | 56.0564i | −0.486439 | − | 2.33975i | ||||
\(575\) | 1.82525 | − | 18.2745i | 0.0761180 | − | 0.762098i | ||||
\(576\) | 3.67330 | − | 6.36235i | 0.153054 | − | 0.265098i | ||||
\(577\) | 1.54890 | − | 32.5154i | 0.0644816 | − | 1.35364i | −0.702370 | − | 0.711812i | \(-0.747875\pi\) |
0.766852 | − | 0.641824i | \(-0.221822\pi\) | |||||||
\(578\) | 22.1772 | − | 17.4404i | 0.922450 | − | 0.725423i | ||||
\(579\) | −7.03185 | − | 0.671460i | −0.292234 | − | 0.0279049i | ||||
\(580\) | 42.8831 | + | 12.5916i | 1.78062 | + | 0.522838i | ||||
\(581\) | 3.69952 | + | 11.9518i | 0.153482 | + | 0.495846i | ||||
\(582\) | −12.2389 | + | 14.1244i | −0.507317 | + | 0.585475i | ||||
\(583\) | −15.3514 | − | 12.0725i | −0.635790 | − | 0.499991i | ||||
\(584\) | 1.14600 | + | 1.09271i | 0.0474218 | + | 0.0452166i | ||||
\(585\) | −1.80389 | + | 5.21198i | −0.0745815 | + | 0.215489i | ||||
\(586\) | 0.177818 | + | 3.73285i | 0.00734558 | + | 0.154203i | ||||
\(587\) | 26.7935 | − | 17.2191i | 1.10589 | − | 0.710710i | 0.145494 | − | 0.989359i | \(-0.453523\pi\) |
0.960393 | + | 0.278649i | \(0.0898866\pi\) | |||||||
\(588\) | −2.17554 | − | 28.2846i | −0.0897176 | − | 1.16644i | ||||
\(589\) | −33.0660 | + | 9.70907i | −1.36246 | + | 0.400055i | ||||
\(590\) | 2.90659 | + | 2.28577i | 0.119662 | + | 0.0941035i | ||||
\(591\) | −18.3969 | − | 3.54571i | −0.756746 | − | 0.145851i | ||||
\(592\) | −43.0162 | + | 4.10754i | −1.76795 | + | 0.168819i | ||||
\(593\) | −30.7359 | + | 29.3067i | −1.26217 | + | 1.20348i | −0.293274 | + | 0.956029i | \(0.594745\pi\) |
−0.968900 | + | 0.247452i | \(0.920407\pi\) | |||||||
\(594\) | −3.60490 | − | 7.89364i | −0.147911 | − | 0.323880i | ||||
\(595\) | 5.15198 | + | 4.33431i | 0.211210 | + | 0.177689i | ||||
\(596\) | 55.2757 | + | 35.5235i | 2.26418 | + | 1.45510i | ||||
\(597\) | −11.4327 | + | 19.8021i | −0.467910 | + | 0.810444i | ||||
\(598\) | −54.6020 | − | 25.2235i | −2.23284 | − | 1.03147i | ||||
\(599\) | −1.01472 | − | 1.75755i | −0.0414605 | − | 0.0718116i | 0.844551 | − | 0.535476i | \(-0.179868\pi\) |
−0.886011 | + | 0.463664i | \(0.846534\pi\) | |||||||
\(600\) | 17.1882 | − | 8.86116i | 0.701707 | − | 0.361755i | ||||
\(601\) | 0.159810 | + | 1.11150i | 0.00651878 | + | 0.0453391i | 0.992821 | − | 0.119608i | \(-0.0381638\pi\) |
−0.986302 | + | 0.164947i | \(0.947255\pi\) | |||||||
\(602\) | −28.3923 | + | 20.8486i | −1.15718 | + | 0.849727i | ||||
\(603\) | −3.93276 | − | 1.15476i | −0.160154 | − | 0.0470255i | ||||
\(604\) | −34.8947 | − | 49.0027i | −1.41984 | − | 1.99389i | ||||
\(605\) | 1.53167 | + | 0.295205i | 0.0622711 | + | 0.0120018i | ||||
\(606\) | −0.773370 | + | 0.309611i | −0.0314160 | + | 0.0125771i | ||||
\(607\) | −2.14620 | + | 8.84677i | −0.0871117 | + | 0.359079i | −0.998639 | − | 0.0521608i | \(-0.983389\pi\) |
0.911527 | + | 0.411240i | \(0.134904\pi\) | |||||||
\(608\) | −2.61549 | − | 3.01844i | −0.106072 | − | 0.122414i | ||||
\(609\) | −26.1133 | + | 6.73969i | −1.05817 | + | 0.273106i | ||||
\(610\) | 2.20368 | − | 1.41622i | 0.0892245 | − | 0.0573411i | ||||
\(611\) | −41.9111 | + | 8.07771i | −1.69554 | + | 0.326789i | ||||
\(612\) | 6.89853 | + | 6.57774i | 0.278857 | + | 0.265889i | ||||
\(613\) | −34.0356 | + | 13.6258i | −1.37468 | + | 0.550340i | −0.937171 | − | 0.348872i | \(-0.886565\pi\) |
−0.437513 | + | 0.899212i | \(0.644141\pi\) | |||||||
\(614\) | −12.9398 | − | 37.3870i | −0.522206 | − | 1.50882i | ||||
\(615\) | 3.95340 | − | 8.65674i | 0.159417 | − | 0.349074i | ||||
\(616\) | 38.7825 | + | 26.7733i | 1.56259 | + | 1.07873i | ||||
\(617\) | −11.7135 | − | 25.6489i | −0.471566 | − | 1.03259i | −0.984697 | − | 0.174275i | \(-0.944242\pi\) |
0.513131 | − | 0.858310i | \(-0.328485\pi\) | |||||||
\(618\) | 23.5738 | + | 9.43753i | 0.948278 | + | 0.379633i | ||||
\(619\) | −0.553408 | + | 11.6175i | −0.0222433 | + | 0.466945i | 0.960077 | + | 0.279736i | \(0.0902471\pi\) |
−0.982320 | + | 0.187209i | \(0.940056\pi\) | |||||||
\(620\) | −9.91897 | − | 17.1802i | −0.398355 | − | 0.689972i | ||||
\(621\) | −1.76305 | − | 4.46001i | −0.0707487 | − | 0.178974i | ||||
\(622\) | −56.6470 | −2.27134 | ||||||||
\(623\) | 8.65687 | − | 22.5723i | 0.346830 | − | 0.904341i | ||||
\(624\) | −3.13286 | − | 21.7896i | −0.125415 | − | 0.872280i | ||||
\(625\) | −8.77205 | − | 0.837629i | −0.350882 | − | 0.0335052i | ||||
\(626\) | −12.9546 | − | 53.3994i | −0.517768 | − | 2.13427i | ||||
\(627\) | 26.7449 | − | 2.55383i | 1.06809 | − | 0.101990i | ||||
\(628\) | 2.79710 | + | 8.08170i | 0.111617 | + | 0.322495i | ||||
\(629\) | −3.34952 | + | 23.2964i | −0.133554 | + | 0.928888i | ||||
\(630\) | 3.72056 | − | 5.97925i | 0.148231 | − | 0.238219i | ||||
\(631\) | 10.7117 | + | 12.3620i | 0.426426 | + | 0.492122i | 0.927784 | − | 0.373118i | \(-0.121711\pi\) |
−0.501358 | + | 0.865240i | \(0.667166\pi\) | |||||||
\(632\) | 0.766880 | + | 16.0988i | 0.0305049 | + | 0.640376i | ||||
\(633\) | −12.2778 | − | 6.32967i | −0.488000 | − | 0.251582i | ||||
\(634\) | 2.32266 | − | 6.71090i | 0.0922448 | − | 0.266524i | ||||
\(635\) | 2.53873 | − | 10.4648i | 0.100746 | − | 0.415282i | ||||
\(636\) | 3.19329 | − | 22.2098i | 0.126622 | − | 0.880677i | ||||
\(637\) | 24.1446 | + | 26.2753i | 0.956642 | + | 1.04107i | ||||
\(638\) | 36.7460 | − | 80.4626i | 1.45479 | − | 3.18554i | ||||
\(639\) | −1.23937 | + | 1.18174i | −0.0490287 | + | 0.0467488i | ||||
\(640\) | −12.0010 | + | 16.8531i | −0.474382 | + | 0.666177i | ||||
\(641\) | 26.7015 | − | 20.9983i | 1.05465 | − | 0.829384i | 0.0689010 | − | 0.997624i | \(-0.478051\pi\) |
0.985746 | + | 0.168240i | \(0.0538083\pi\) | |||||||
\(642\) | −7.95990 | + | 4.10361i | −0.314152 | + | 0.161957i | ||||
\(643\) | −19.5781 | −0.772085 | −0.386042 | − | 0.922481i | \(-0.626158\pi\) | ||||
−0.386042 | + | 0.922481i | \(0.626158\pi\) | |||||||
\(644\) | 40.7433 | + | 31.3715i | 1.60551 | + | 1.23621i | ||||
\(645\) | −5.85496 | −0.230539 | ||||||||
\(646\) | −39.1750 | + | 20.1961i | −1.54132 | + | 0.794605i | ||||
\(647\) | −10.2635 | + | 8.07131i | −0.403500 | + | 0.317316i | −0.799201 | − | 0.601063i | \(-0.794744\pi\) |
0.395701 | + | 0.918379i | \(0.370501\pi\) | |||||||
\(648\) | 2.92917 | − | 4.11344i | 0.115069 | − | 0.161591i | ||||
\(649\) | 3.54638 | − | 3.38147i | 0.139208 | − | 0.132734i | ||||
\(650\) | −19.9510 | + | 43.6867i | −0.782544 | + | 1.71353i | ||||
\(651\) | 10.4531 | + | 5.83352i | 0.409688 | + | 0.228634i | ||||
\(652\) | 0.227596 | − | 1.58297i | 0.00891336 | − | 0.0619938i | ||||
\(653\) | 5.57908 | − | 22.9973i | 0.218326 | − | 0.899953i | −0.752196 | − | 0.658940i | \(-0.771005\pi\) |
0.970522 | − | 0.241013i | \(-0.0774797\pi\) | |||||||
\(654\) | −13.3286 | + | 38.5106i | −0.521191 | + | 1.50588i | ||||
\(655\) | −20.8680 | − | 10.7582i | −0.815382 | − | 0.420358i | ||||
\(656\) | 1.80739 | + | 37.9417i | 0.0705666 | + | 1.48138i | ||||
\(657\) | −0.205343 | − | 0.236979i | −0.00801121 | − | 0.00924543i | ||||
\(658\) | 54.4699 | + | 1.79911i | 2.12346 | + | 0.0701366i | ||||
\(659\) | 0.862186 | − | 5.99664i | 0.0335860 | − | 0.233596i | −0.966113 | − | 0.258118i | \(-0.916898\pi\) |
0.999699 | + | 0.0245227i | \(0.00780659\pi\) | |||||||
\(660\) | 5.05832 | + | 14.6151i | 0.196895 | + | 0.568891i | ||||
\(661\) | −18.7170 | + | 1.78725i | −0.728005 | + | 0.0695161i | −0.452476 | − | 0.891777i | \(-0.649459\pi\) |
−0.275529 | + | 0.961293i | \(0.588853\pi\) | |||||||
\(662\) | −10.4597 | − | 43.1154i | −0.406527 | − | 1.67573i | ||||
\(663\) | −11.9358 | − | 1.13973i | −0.463546 | − | 0.0442633i | ||||
\(664\) | −3.39843 | − | 23.6366i | −0.131884 | − | 0.917277i | ||||
\(665\) | 13.7262 | + | 16.9399i | 0.532278 | + | 0.656903i | ||||
\(666\) | 24.6183 | 0.953940 | ||||||||
\(667\) | 22.5894 | − | 43.3534i | 0.874667 | − | 1.67865i | ||||
\(668\) | 17.9693 | + | 31.1238i | 0.695254 | + | 1.20422i | ||||
\(669\) | 0.0182732 | − | 0.383603i | 0.000706485 | − | 0.0148309i | ||||
\(670\) | 10.1284 | + | 4.05480i | 0.391294 | + | 0.156651i | ||||
\(671\) | −1.44205 | − | 3.15764i | −0.0556696 | − | 0.121899i | ||||
\(672\) | −0.111722 | + | 1.38283i | −0.00430978 | + | 0.0533439i | ||||
\(673\) | 6.87583 | − | 15.0560i | 0.265044 | − | 0.580365i | −0.729583 | − | 0.683892i | \(-0.760286\pi\) |
0.994627 | + | 0.103528i | \(0.0330130\pi\) | |||||||
\(674\) | 14.6077 | + | 42.2062i | 0.562668 | + | 1.62572i | ||||
\(675\) | −3.55514 | + | 1.42326i | −0.136837 | + | 0.0547814i | ||||
\(676\) | 38.0902 | + | 36.3189i | 1.46501 | + | 1.39688i | ||||
\(677\) | −40.1212 | + | 7.73273i | −1.54198 | + | 0.297193i | −0.888189 | − | 0.459479i | \(-0.848036\pi\) |
−0.653795 | + | 0.756672i | \(0.726824\pi\) | |||||||
\(678\) | −26.9679 | + | 17.3312i | −1.03570 | + | 0.665602i | ||||
\(679\) | −5.38068 | + | 19.3652i | −0.206492 | + | 0.743168i | ||||
\(680\) | −8.41515 | − | 9.71160i | −0.322706 | − | 0.372423i | ||||
\(681\) | −2.00098 | + | 8.24816i | −0.0766778 | + | 0.316070i | ||||
\(682\) | −36.4502 | + | 14.5925i | −1.39575 | + | 0.558775i | ||||
\(683\) | 43.8338 | + | 8.44828i | 1.67725 | + | 0.323264i | 0.937071 | − | 0.349140i | \(-0.113526\pi\) |
0.740184 | + | 0.672404i | \(0.234738\pi\) | |||||||
\(684\) | 17.9050 | + | 25.1441i | 0.684616 | + | 0.961409i | ||||
\(685\) | −4.82513 | − | 1.41679i | −0.184359 | − | 0.0541326i | ||||
\(686\) | −22.6296 | − | 39.5467i | −0.864002 | − | 1.50990i | ||||
\(687\) | 1.82563 | + | 12.6975i | 0.0696522 | + | 0.484442i | ||||
\(688\) | 20.7714 | − | 10.7084i | 0.791903 | − | 0.408254i | ||||
\(689\) | 14.1124 | + | 24.4434i | 0.537640 | + | 0.931220i | ||||
\(690\) | 3.54308 | + | 12.2637i | 0.134883 | + | 0.466871i | ||||
\(691\) | 2.15562 | − | 3.73365i | 0.0820037 | − | 0.142035i | −0.822107 | − | 0.569333i | \(-0.807201\pi\) |
0.904111 | + | 0.427299i | \(0.140535\pi\) | |||||||
\(692\) | −6.71771 | − | 4.31721i | −0.255369 | − | 0.164116i | ||||
\(693\) | −7.14126 | − | 6.00788i | −0.271274 | − | 0.228220i | ||||
\(694\) | −7.28114 | − | 15.9435i | −0.276388 | − | 0.605206i | ||||
\(695\) | 11.8606 | − | 11.3090i | 0.449897 | − | 0.428976i | ||||
\(696\) | 51.2412 | − | 4.89294i | 1.94229 | − | 0.185466i | ||||
\(697\) | 20.3151 | + | 3.91541i | 0.769489 | + | 0.148307i | ||||
\(698\) | 46.4821 | + | 36.5540i | 1.75938 | + | 1.38359i | ||||
\(699\) | −15.7207 | + | 4.61601i | −0.594611 | + | 0.174594i | ||||
\(700\) | 24.9083 | − | 32.6420i | 0.941443 | − | 1.23375i | ||||
\(701\) | 35.7748 | − | 22.9911i | 1.35119 | − | 0.868360i | 0.353448 | − | 0.935454i | \(-0.385009\pi\) |
0.997747 | + | 0.0670940i | \(0.0213727\pi\) | |||||||
\(702\) | 0.596745 | + | 12.5272i | 0.0225227 | + | 0.472809i | ||||
\(703\) | −24.9286 | + | 72.0263i | −0.940198 | + | 2.71652i | ||||
\(704\) | 18.7545 | + | 17.8824i | 0.706839 | + | 0.673969i | ||||
\(705\) | 7.12065 | + | 5.59974i | 0.268179 | + | 0.210899i | ||||
\(706\) | −18.2595 | + | 21.0726i | −0.687206 | + | 0.793078i | ||||
\(707\) | −0.608702 | + | 0.657319i | −0.0228926 | + | 0.0247210i | ||||
\(708\) | 5.40183 | + | 1.58612i | 0.203013 | + | 0.0596101i | ||||
\(709\) | 42.9939 | + | 4.10542i | 1.61467 | + | 0.154182i | 0.862947 | − | 0.505295i | \(-0.168616\pi\) |
0.751724 | + | 0.659477i | \(0.229222\pi\) | |||||||
\(710\) | 3.58294 | − | 2.81765i | 0.134465 | − | 0.105745i | ||||
\(711\) | 0.151864 | − | 3.18801i | 0.00569533 | − | 0.119560i | ||||
\(712\) | −23.0711 | + | 39.9603i | −0.864626 | + | 1.49758i | ||||
\(713\) | −20.5359 | + | 7.00767i | −0.769076 | + | 0.262439i | ||||
\(714\) | 14.5391 | + | 4.79579i | 0.544111 | + | 0.179478i | ||||
\(715\) | −16.3658 | − | 10.5177i | −0.612048 | − | 0.393339i | ||||
\(716\) | −49.3052 | − | 19.7388i | −1.84262 | − | 0.737674i | ||||
\(717\) | −5.66175 | + | 7.95081i | −0.211442 | + | 0.296929i | ||||
\(718\) | 14.5654 | + | 60.0393i | 0.543575 | + | 2.24065i | ||||
\(719\) | −15.0623 | − | 21.1520i | −0.561729 | − | 0.788838i | 0.431854 | − | 0.901944i | \(-0.357860\pi\) |
−0.993583 | + | 0.113105i | \(0.963920\pi\) | |||||||
\(720\) | −3.05956 | + | 3.53092i | −0.114023 | + | 0.131590i | ||||
\(721\) | 27.2551 | − | 1.69697i | 1.01503 | − | 0.0631986i | ||||
\(722\) | −92.0977 | + | 27.0423i | −3.42752 | + | 1.00641i | ||||
\(723\) | 9.71130 | − | 1.87170i | 0.361167 | − | 0.0696092i | ||||
\(724\) | −45.4447 | − | 23.4284i | −1.68894 | − | 0.870709i | ||||
\(725\) | −34.6956 | − | 17.8868i | −1.28856 | − | 0.664300i | ||||
\(726\) | 3.48289 | − | 0.671273i | 0.129262 | − | 0.0249133i | ||||
\(727\) | −43.9000 | + | 12.8902i | −1.62816 | + | 0.478071i | −0.963195 | − | 0.268804i | \(-0.913372\pi\) |
−0.664965 | + | 0.746875i | \(0.731553\pi\) | |||||||
\(728\) | −37.6536 | − | 56.7532i | −1.39554 | − | 2.10341i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 0.484136 | + | 0.679875i | 0.0179187 | + | 0.0251633i | ||||
\(731\) | −3.00084 | − | 12.3696i | −0.110990 | − | 0.457507i | ||||
\(732\) | 2.31345 | − | 3.24879i | 0.0855076 | − | 0.120079i | ||||
\(733\) | 8.87424 | + | 3.55271i | 0.327778 | + | 0.131222i | 0.529714 | − | 0.848176i | \(-0.322299\pi\) |
−0.201936 | + | 0.979399i | \(0.564723\pi\) | |||||||
\(734\) | −4.21475 | − | 2.70865i | −0.155569 | − | 0.0999782i | ||||
\(735\) | 0.858755 | − | 7.52459i | 0.0316756 | − | 0.277549i | ||||
\(736\) | −1.72745 | − | 1.82755i | −0.0636747 | − | 0.0673644i | ||||
\(737\) | 7.22879 | − | 12.5206i | 0.266276 | − | 0.461204i | ||||
\(738\) | 1.02969 | − | 21.6159i | 0.0379034 | − | 0.795691i | ||||
\(739\) | −27.6218 | + | 21.7220i | −1.01608 | + | 0.799057i | −0.979738 | − | 0.200283i | \(-0.935814\pi\) |
−0.0363449 | + | 0.999339i | \(0.511571\pi\) | |||||||
\(740\) | −43.6761 | − | 4.17056i | −1.60557 | − | 0.153313i | ||||
\(741\) | −37.2554 | − | 10.9392i | −1.36861 | − | 0.401861i | ||||
\(742\) | −10.6566 | − | 34.4276i | −0.391215 | − | 1.26388i | ||||
\(743\) | 32.1329 | − | 37.0833i | 1.17884 | − | 1.36045i | 0.260105 | − | 0.965580i | \(-0.416243\pi\) |
0.918735 | − | 0.394874i | \(-0.129212\pi\) | |||||||
\(744\) | −17.9595 | − | 14.1235i | −0.658427 | − | 0.517793i | ||||
\(745\) | 12.6955 | + | 12.1051i | 0.465125 | + | 0.443496i | ||||
\(746\) | 15.9789 | − | 46.1679i | 0.585028 | − | 1.69033i | ||||
\(747\) | 0.225007 | + | 4.72348i | 0.00823257 | + | 0.172823i | ||||
\(748\) | −28.2843 | + | 18.1772i | −1.03418 | + | 0.664624i | ||||
\(749\) | −5.84237 | + | 7.65637i | −0.213476 | + | 0.279758i | ||||
\(750\) | 22.5497 | − | 6.62119i | 0.823399 | − | 0.241772i | ||||
\(751\) | 9.68034 | + | 7.61270i | 0.353241 | + | 0.277791i | 0.778973 | − | 0.627058i | \(-0.215741\pi\) |
−0.425732 | + | 0.904849i | \(0.639983\pi\) | |||||||
\(752\) | −35.5033 | − | 6.84270i | −1.29467 | − | 0.249527i | ||||
\(753\) | 6.48314 | − | 0.619065i | 0.236259 | − | 0.0225600i | ||||
\(754\) | −92.5215 | + | 88.2191i | −3.36943 | + | 3.21275i | ||||
\(755\) | −6.67164 | − | 14.6089i | −0.242806 | − | 0.531671i | ||||
\(756\) | 1.87544 | − | 10.5569i | 0.0682091 | − | 0.383949i | ||||
\(757\) | 40.4254 | + | 25.9798i | 1.46929 | + | 0.944252i | 0.998061 | + | 0.0622386i | \(0.0198240\pi\) |
0.471224 | + | 0.882014i | \(0.343812\pi\) | |||||||
\(758\) | −22.9240 | + | 39.7056i | −0.832638 | + | 1.44217i | ||||
\(759\) | 16.7544 | − | 2.33458i | 0.608146 | − | 0.0847400i | ||||
\(760\) | −20.8070 | − | 36.0388i | −0.754750 | − | 1.30727i | ||||
\(761\) | 27.2187 | − | 14.0322i | 0.986678 | − | 0.508668i | 0.112175 | − | 0.993688i | \(-0.464218\pi\) |
0.874503 | + | 0.485021i | \(0.161188\pi\) | |||||||
\(762\) | −3.48477 | − | 24.2371i | −0.126240 | − | 0.878017i | ||||
\(763\) | 4.80160 | + | 43.5616i | 0.173829 | + | 1.57704i | ||||
\(764\) | −51.1976 | − | 15.0330i | −1.85226 | − | 0.543874i | ||||
\(765\) | 1.47608 | + | 2.07286i | 0.0533678 | + | 0.0749446i | ||||
\(766\) | 14.1200 | + | 2.72140i | 0.510175 | + | 0.0983281i | ||||
\(767\) | −6.57450 | + | 2.63203i | −0.237391 | + | 0.0950371i | ||||
\(768\) | −7.62748 | + | 31.4409i | −0.275233 | + | 1.13453i | ||||
\(769\) | 9.13735 | + | 10.5451i | 0.329501 | + | 0.380265i | 0.896192 | − | 0.443666i | \(-0.146322\pi\) |
−0.566691 | + | 0.823930i | \(0.691777\pi\) | |||||||
\(770\) | 17.4020 | + | 17.7258i | 0.627126 | + | 0.638795i | ||||
\(771\) | 16.2094 | − | 10.4171i | 0.583767 | − | 0.375164i | ||||
\(772\) | 28.1095 | − | 5.41767i | 1.01168 | − | 0.194986i | ||||
\(773\) | 24.4067 | + | 23.2717i | 0.877847 | + | 0.837025i | 0.987609 | − | 0.156933i | \(-0.0501606\pi\) |
−0.109763 | + | 0.993958i | \(0.535009\pi\) | |||||||
\(774\) | −12.3601 | + | 4.94822i | −0.444273 | + | 0.177860i | ||||
\(775\) | 5.66687 | + | 16.3733i | 0.203560 | + | 0.588148i | ||||
\(776\) | 15.9359 | − | 34.8948i | 0.572066 | − | 1.25265i | ||||
\(777\) | 23.9196 | − | 11.3481i | 0.858111 | − | 0.407112i | ||||
\(778\) | −4.58370 | − | 10.0369i | −0.164334 | − | 0.359840i | ||||
\(779\) | 62.1994 | + | 24.9009i | 2.22852 | + | 0.892166i | ||||
\(780\) | 1.06352 | − | 22.3260i | 0.0380801 | − | 0.799401i | ||||
\(781\) | −3.02018 | − | 5.23110i | −0.108070 | − | 0.187184i | ||||
\(782\) | −24.0932 | + | 13.7709i | −0.861572 | + | 0.492445i | ||||
\(783\) | −10.1933 | −0.364280 | ||||||||
\(784\) | 10.7155 | + | 28.2653i | 0.382696 | + | 1.00947i | ||||
\(785\) | 0.324924 | + | 2.25990i | 0.0115971 | + | 0.0806593i | ||||
\(786\) | −53.1453 | − | 5.07476i | −1.89563 | − | 0.181011i | ||||
\(787\) | −5.48818 | − | 22.6226i | −0.195633 | − | 0.806408i | −0.982036 | − | 0.188695i | \(-0.939574\pi\) |
0.786403 | − | 0.617714i | \(-0.211941\pi\) | |||||||
\(788\) | 75.5833 | − | 7.21733i | 2.69255 | − | 0.257107i | ||||
\(789\) | −2.19035 | − | 6.32861i | −0.0779786 | − | 0.225304i | ||||
\(790\) | −1.20900 | + | 8.40881i | −0.0430144 | + | 0.299172i | ||||
\(791\) | −18.2135 | + | 29.2706i | −0.647597 | + | 1.04074i | ||||
\(792\) | 11.6644 | + | 13.4615i | 0.414477 | + | 0.478332i | ||||
\(793\) | 0.238712 | + | 5.01118i | 0.00847692 | + | 0.177952i | ||||
\(794\) | −24.5036 | − | 12.6325i | −0.869601 | − | 0.448311i | ||||
\(795\) | 1.95924 | − | 5.66086i | 0.0694871 | − | 0.200770i | ||||
\(796\) | 21.8465 | − | 90.0523i | 0.774327 | − | 3.19182i | ||||
\(797\) | 0.957402 | − | 6.65888i | 0.0339129 | − | 0.235869i | −0.965814 | − | 0.259236i | \(-0.916529\pi\) |
0.999727 | + | 0.0233663i | \(0.00743841\pi\) | |||||||
\(798\) | 43.2930 | + | 24.1604i | 1.53255 | + | 0.855270i | ||||
\(799\) | −8.18088 | + | 17.9136i | −0.289419 | + | 0.633739i | ||||
\(800\) | −1.45328 | + | 1.38570i | −0.0513811 | + | 0.0489918i | ||||
\(801\) | 5.30024 | − | 7.44315i | 0.187275 | − | 0.262991i | ||||
\(802\) | −35.6067 | + | 28.0014i | −1.25732 | + | 0.988765i | ||||
\(803\) | 0.983091 | − | 0.506819i | 0.0346925 | − | 0.0178852i | ||||
\(804\) | 16.6107 | 0.585814 | ||||||||
\(805\) | 9.09563 | + | 10.2824i | 0.320579 | + | 0.362407i | ||||
\(806\) | 56.7434 | 1.99870 | ||||||||
\(807\) | 3.93103 | − | 2.02659i | 0.138379 | − | 0.0713393i | ||||
\(808\) | 1.34407 | − | 1.05699i | 0.0472842 | − | 0.0371847i | ||||
\(809\) | −5.29054 | + | 7.42953i | −0.186006 | + | 0.261208i | −0.897040 | − | 0.441948i | \(-0.854287\pi\) |
0.711035 | + | 0.703157i | \(0.248227\pi\) | |||||||
\(810\) | 1.92639 | − | 1.83681i | 0.0676865 | − | 0.0645389i | ||||
\(811\) | −9.83347 | + | 21.5323i | −0.345300 | + | 0.756101i | 0.654700 | + | 0.755889i | \(0.272795\pi\) |
−1.00000 | 0.000212317i | \(0.999932\pi\) | ||||||||
\(812\) | 93.8450 | − | 56.0217i | 3.29331 | − | 1.96598i | ||||
\(813\) | −4.53025 | + | 31.5086i | −0.158883 | + | 1.10505i | ||||
\(814\) | −20.4723 | + | 84.3880i | −0.717554 | + | 2.95780i | ||||
\(815\) | 0.139642 | − | 0.403468i | 0.00489143 | − | 0.0141329i | ||||
\(816\) | −9.02779 | − | 4.65415i | −0.316036 | − | 0.162928i | ||||
\(817\) | −1.96130 | − | 41.1727i | −0.0686170 | − | 1.44045i | ||||
\(818\) | 1.62766 | + | 1.87842i | 0.0569099 | + | 0.0656775i | ||||
\(819\) | 6.35439 | + | 11.8966i | 0.222040 | + | 0.415701i | ||||
\(820\) | −5.48873 | + | 38.1750i | −0.191675 | + | 1.33313i | ||||
\(821\) | 1.24980 | + | 3.61107i | 0.0436184 | + | 0.126027i | 0.964707 | − | 0.263326i | \(-0.0848196\pi\) |
−0.921088 | + | 0.389354i | \(0.872698\pi\) | |||||||
\(822\) | −11.3834 | + | 1.08698i | −0.397042 | + | 0.0379129i | ||||
\(823\) | −12.9777 | − | 53.4946i | −0.452373 | − | 1.86471i | −0.500295 | − | 0.865855i | \(-0.666775\pi\) |
0.0479225 | − | 0.998851i | \(-0.484740\pi\) | |||||||
\(824\) | −51.8850 | − | 4.95442i | −1.80750 | − | 0.172595i | ||||
\(825\) | −1.92233 | − | 13.3701i | −0.0669269 | − | 0.465487i | ||||
\(826\) | 8.93069 | − | 1.41725i | 0.310738 | − | 0.0493125i | ||||
\(827\) | −38.8199 | −1.34990 | −0.674950 | − | 0.737863i | \(-0.735835\pi\) | ||||
−0.674950 | + | 0.737863i | \(0.735835\pi\) | |||||||
\(828\) | 11.9477 | + | 15.3295i | 0.415211 | + | 0.532737i | ||||
\(829\) | −20.1573 | − | 34.9134i | −0.700091 | − | 1.21259i | −0.968434 | − | 0.249269i | \(-0.919810\pi\) |
0.268344 | − | 0.963323i | \(-0.413524\pi\) | |||||||
\(830\) | 0.598910 | − | 12.5727i | 0.0207885 | − | 0.436403i | ||||
\(831\) | −8.65024 | − | 3.46303i | −0.300074 | − | 0.120131i | ||||
\(832\) | −15.5577 | − | 34.0666i | −0.539366 | − | 1.18105i | ||||
\(833\) | 16.3371 | − | 2.04230i | 0.566048 | − | 0.0707615i | ||||
\(834\) | 15.4805 | − | 33.8976i | 0.536046 | − | 1.17378i | ||||
\(835\) | 3.13806 | + | 9.06684i | 0.108597 | + | 0.313771i | ||||
\(836\) | −101.080 | + | 40.4664i | −3.49593 | + | 1.39956i | ||||
\(837\) | 3.27452 | + | 3.12225i | 0.113184 | + | 0.107921i | ||||
\(838\) | 14.5810 | − | 2.81025i | 0.503692 | − | 0.0970786i | ||||
\(839\) | −46.9974 | + | 30.2034i | −1.62253 | + | 1.04274i | −0.668203 | + | 0.743979i | \(0.732936\pi\) |
−0.954329 | + | 0.298759i | \(0.903427\pi\) | |||||||
\(840\) | −3.86976 | + | 13.9274i | −0.133519 | + | 0.480540i | ||||
\(841\) | −49.0519 | − | 56.6089i | −1.69144 | − | 1.95203i | ||||
\(842\) | 15.1933 | − | 62.6276i | 0.523595 | − | 2.15829i | ||||
\(843\) | −5.06412 | + | 2.02737i | −0.174417 | + | 0.0698262i | ||||
\(844\) | 54.9685 | + | 10.5943i | 1.89209 | + | 0.364671i | ||||
\(845\) | 8.15017 | + | 11.4453i | 0.280374 | + | 0.393731i | ||||
\(846\) | 19.7645 | + | 5.80338i | 0.679517 | + | 0.199524i | ||||
\(847\) | 3.07461 | − | 2.25771i | 0.105645 | − | 0.0775757i | ||||
\(848\) | 3.40268 | + | 23.6661i | 0.116848 | + | 0.812698i | ||||
\(849\) | 18.1447 | − | 9.35424i | 0.622724 | − | 0.321037i | ||||
\(850\) | 11.0795 | + | 19.1903i | 0.380025 | + | 0.658223i | ||||
\(851\) | −13.7205 | + | 45.9869i | −0.470333 | + | 1.57641i | ||||
\(852\) | 3.46996 | − | 6.01015i | 0.118879 | − | 0.205904i | ||||
\(853\) | 41.0014 | + | 26.3500i | 1.40386 | + | 0.902208i | 0.999921 | − | 0.0125769i | \(-0.00400344\pi\) |
0.403942 | + | 0.914785i | \(0.367640\pi\) | |||||||
\(854\) | 1.12046 | − | 6.30709i | 0.0383415 | − | 0.215824i | ||||
\(855\) | 3.42333 | + | 7.49605i | 0.117075 | + | 0.256359i | ||||
\(856\) | 13.3036 | − | 12.6849i | 0.454707 | − | 0.433562i | ||||
\(857\) | 10.5167 | − | 1.00422i | 0.359242 | − | 0.0343035i | 0.0861252 | − | 0.996284i | \(-0.472551\pi\) |
0.273117 | + | 0.961981i | \(0.411945\pi\) | |||||||
\(858\) | −43.4378 | − | 8.37194i | −1.48294 | − | 0.285813i | ||||
\(859\) | 9.01654 | + | 7.09068i | 0.307640 | + | 0.241931i | 0.760028 | − | 0.649890i | \(-0.225185\pi\) |
−0.452388 | + | 0.891821i | \(0.649428\pi\) | |||||||
\(860\) | 22.7666 | − | 6.68489i | 0.776336 | − | 0.227953i | ||||
\(861\) | −8.96364 | − | 21.4770i | −0.305480 | − | 0.731935i | ||||
\(862\) | 20.0109 | − | 12.8602i | 0.681574 | − | 0.438021i | ||||
\(863\) | −0.815421 | − | 17.1178i | −0.0277573 | − | 0.582697i | −0.969312 | − | 0.245835i | \(-0.920938\pi\) |
0.941554 | − | 0.336861i | \(-0.109365\pi\) | |||||||
\(864\) | −0.171503 | + | 0.495524i | −0.00583464 | + | 0.0168581i | ||||
\(865\) | −1.54289 | − | 1.47114i | −0.0524598 | − | 0.0500204i | ||||
\(866\) | 26.6074 | + | 20.9243i | 0.904157 | + | 0.711037i | ||||
\(867\) | 7.50988 | − | 8.66687i | 0.255049 | − | 0.294342i | ||||
\(868\) | −47.3064 | − | 10.7485i | −1.60569 | − | 0.364828i | ||||
\(869\) | 10.8018 | + | 3.17168i | 0.366425 | + | 0.107592i | ||||
\(870\) | 27.0092 | + | 2.57906i | 0.915697 | + | 0.0874384i | ||||
\(871\) | −16.4242 | + | 12.9161i | −0.556511 | + | 0.437645i | ||||
\(872\) | 3.98009 | − | 83.5524i | 0.134783 | − | 2.82944i | ||||
\(873\) | −3.79832 | + | 6.57888i | −0.128554 | + | 0.222661i | ||||
\(874\) | −85.0526 | + | 29.0234i | −2.87695 | + | 0.981730i | ||||
\(875\) | 18.8576 | − | 16.8279i | 0.637503 | − | 0.568885i | ||||
\(876\) | 1.06903 | + | 0.687027i | 0.0361193 | + | 0.0232125i | ||||
\(877\) | 32.1454 | + | 12.8691i | 1.08547 | + | 0.434558i | 0.844271 | − | 0.535917i | \(-0.180034\pi\) |
0.241202 | + | 0.970475i | \(0.422458\pi\) | |||||||
\(878\) | 15.0465 | − | 21.1299i | 0.507795 | − | 0.713098i | ||||
\(879\) | 0.358122 | + | 1.47620i | 0.0120791 | + | 0.0497909i | ||||
\(880\) | −9.55920 | − | 13.4240i | −0.322240 | − | 0.452523i | ||||
\(881\) | −25.3284 | + | 29.2305i | −0.853335 | + | 0.984801i | −0.999990 | − | 0.00438650i | \(-0.998604\pi\) |
0.146655 | + | 0.989188i | \(0.453149\pi\) | |||||||
\(882\) | −4.54641 | − | 16.6105i | −0.153086 | − | 0.559303i | ||||
\(883\) | −10.6137 | + | 3.11647i | −0.357180 | + | 0.104877i | −0.455399 | − | 0.890287i | \(-0.650503\pi\) |
0.0982195 | + | 0.995165i | \(0.468685\pi\) | |||||||
\(884\) | 47.7127 | − | 9.19586i | 1.60475 | − | 0.309290i | ||||
\(885\) | 1.33593 | + | 0.688718i | 0.0449066 | + | 0.0231510i | ||||
\(886\) | 20.1267 | + | 10.3760i | 0.676168 | + | 0.348589i | ||||
\(887\) | 7.91705 | − | 1.52589i | 0.265828 | − | 0.0512342i | −0.0545952 | − | 0.998509i | \(-0.517387\pi\) |
0.320424 | + | 0.947274i | \(0.396175\pi\) | |||||||
\(888\) | −48.4845 | + | 14.2363i | −1.62703 | + | 0.477740i | ||||
\(889\) | −14.5583 | − | 21.9429i | −0.488268 | − | 0.735940i | ||||
\(890\) | −15.9272 | + | 18.3810i | −0.533881 | + | 0.616131i | ||||
\(891\) | −2.04603 | − | 2.87324i | −0.0685445 | − | 0.0962572i | ||||
\(892\) | 0.366923 | + | 1.51248i | 0.0122855 | + | 0.0506415i | ||||
\(893\) | −36.9927 | + | 51.9489i | −1.23791 | + | 1.73840i | ||||
\(894\) | 37.0310 | + | 14.8250i | 1.23850 | + | 0.495821i | ||||
\(895\) | −11.9278 | − | 7.66555i | −0.398703 | − | 0.256231i | ||||
\(896\) | 10.2985 | + | 49.5351i | 0.344047 | + | 1.65485i | ||||
\(897\) | −23.7334 | − | 5.86708i | −0.792434 | − | 0.195896i | ||||
\(898\) | 27.1980 | − | 47.1084i | 0.907610 | − | 1.57203i | ||||
\(899\) | −2.19446 | + | 46.0673i | −0.0731893 | + | 1.53643i | ||||
\(900\) | 12.1989 | − | 9.59334i | 0.406631 | − | 0.319778i | ||||
\(901\) | 12.9637 | + | 1.23788i | 0.431883 | + | 0.0412399i | ||||
\(902\) | 73.2398 | + | 21.5052i | 2.43862 | + | 0.716043i | ||||
\(903\) | −9.72831 | + | 10.5053i | −0.323738 | + | 0.349595i | ||||
\(904\) | 43.0896 | − | 49.7281i | 1.43314 | − | 1.65393i | ||||
\(905\) | −10.7294 | − | 8.43770i | −0.356658 | − | 0.280479i | ||||
\(906\) | −26.4305 | − | 25.2014i | −0.878095 | − | 0.837262i | ||||
\(907\) | −6.05077 | + | 17.4826i | −0.200913 | + | 0.580499i | −0.999779 | − | 0.0210094i | \(-0.993312\pi\) |
0.798867 | + | 0.601508i | \(0.205433\pi\) | |||||||
\(908\) | −1.63663 | − | 34.3570i | −0.0543134 | − | 1.14018i | ||||
\(909\) | −0.284855 | + | 0.183065i | −0.00944804 | + | 0.00607189i | ||||
\(910\) | −13.8271 | − | 33.1300i | −0.458365 | − | 1.09825i | ||||
\(911\) | −5.60816 | + | 1.64670i | −0.185807 | + | 0.0545577i | −0.373312 | − | 0.927706i | \(-0.621778\pi\) |
0.187505 | + | 0.982264i | \(0.439960\pi\) | |||||||
\(912\) | −25.8547 | − | 20.3323i | −0.856134 | − | 0.673271i | ||||
\(913\) | −16.3785 | − | 3.15670i | −0.542050 | − | 0.104472i | ||||
\(914\) | 11.1201 | − | 1.06184i | 0.367821 | − | 0.0351226i | ||||
\(915\) | 0.770602 | − | 0.734768i | 0.0254753 | − | 0.0242907i | ||||
\(916\) | −21.5962 | − | 47.2892i | −0.713560 | − | 1.56248i | ||||
\(917\) | −53.9763 | + | 19.5673i | −1.78245 | + | 0.646169i | ||||
\(918\) | 4.86791 | + | 3.12841i | 0.160665 | + | 0.103253i | ||||
\(919\) | 29.6480 | − | 51.3519i | 0.977999 | − | 1.69394i | 0.308338 | − | 0.951277i | \(-0.400227\pi\) |
0.669661 | − | 0.742667i | \(-0.266439\pi\) | |||||||
\(920\) | −14.0698 | − | 22.1038i | −0.463867 | − | 0.728741i | ||||
\(921\) | −8.04058 | − | 13.9267i | −0.264946 | − | 0.458900i | ||||
\(922\) | 61.5549 | − | 31.7337i | 2.02720 | − | 1.04510i | ||||
\(923\) | 1.24236 | + | 8.64082i | 0.0408928 | + | 0.284416i | ||||
\(924\) | 34.6278 | + | 15.2077i | 1.13917 | + | 0.500297i | ||||
\(925\) | 36.7676 | + | 10.7959i | 1.20891 | + | 0.354969i | ||||
\(926\) | 7.02134 | + | 9.86009i | 0.230735 | + | 0.324023i | ||||
\(927\) | 10.1349 | + | 1.95334i | 0.332873 | + | 0.0641561i | ||||
\(928\) | −4.96215 | + | 1.98654i | −0.162890 | + | 0.0652115i | ||||
\(929\) | 0.370604 | − | 1.52765i | 0.0121591 | − | 0.0501206i | −0.965409 | − | 0.260741i | \(-0.916033\pi\) |
0.977568 | + | 0.210620i | \(0.0675483\pi\) | |||||||
\(930\) | −7.88648 | − | 9.10148i | −0.258608 | − | 0.298449i | ||||
\(931\) | 53.2013 | + | 3.51826i | 1.74360 | + | 0.115306i | ||||
\(932\) | 55.8586 | − | 35.8981i | 1.82971 | − | 1.17588i | ||||
\(933\) | −22.6093 | + | 4.35758i | −0.740194 | + | 0.142661i | ||||
\(934\) | −39.9709 | − | 38.1122i | −1.30789 | − | 1.24707i | ||||
\(935\) | −8.33298 | + | 3.33602i | −0.272518 | + | 0.109100i | ||||
\(936\) | −8.41953 | − | 24.3266i | −0.275201 | − | 0.795141i | ||||
\(937\) | 18.5098 | − | 40.5308i | 0.604689 | − | 1.32408i | −0.321459 | − | 0.946923i | \(-0.604173\pi\) |
0.926148 | − | 0.377160i | \(-0.123099\pi\) | |||||||
\(938\) | 24.1042 | − | 11.4357i | 0.787029 | − | 0.373389i | ||||
\(939\) | −9.27825 | − | 20.3165i | −0.302784 | − | 0.663005i | ||||
\(940\) | −34.0817 | − | 13.6443i | −1.11162 | − | 0.445026i | ||||
\(941\) | 1.03812 | − | 21.7929i | 0.0338418 | − | 0.710427i | −0.916653 | − | 0.399685i | \(-0.869120\pi\) |
0.950494 | − | 0.310742i | \(-0.100577\pi\) | |||||||
\(942\) | 2.59584 | + | 4.49613i | 0.0845771 | + | 0.146492i | ||||
\(943\) | 39.8045 | + | 13.9706i | 1.29621 | + | 0.454946i | ||||
\(944\) | −5.99904 | −0.195252 | ||||||||
\(945\) | 1.02502 | − | 2.67267i | 0.0333438 | − | 0.0869421i | ||||
\(946\) | −6.68330 | − | 46.4834i | −0.217293 | − | 1.51130i | ||||
\(947\) | 20.2232 | + | 1.93108i | 0.657167 | + | 0.0627518i | 0.418312 | − | 0.908304i | \(-0.362622\pi\) |
0.238855 | + | 0.971055i | \(0.423228\pi\) | |||||||
\(948\) | 3.04939 | + | 12.5698i | 0.0990396 | + | 0.408247i | ||||
\(949\) | −1.59124 | + | 0.151945i | −0.0516540 | + | 0.00493236i | ||||
\(950\) | 23.4702 | + | 67.8127i | 0.761474 | + | 2.20014i | ||||
\(951\) | 0.410798 | − | 2.85716i | 0.0133210 | − | 0.0926498i | ||||
\(952\) | −31.4073 | − | 1.03737i | −1.01792 | − | 0.0336212i | ||||
\(953\) | −3.05194 | − | 3.52213i | −0.0988621 | − | 0.114093i | 0.704162 | − | 0.710039i | \(-0.251323\pi\) |
−0.803025 | + | 0.595946i | \(0.796777\pi\) | |||||||
\(954\) | −0.648139 | − | 13.6061i | −0.0209843 | − | 0.440514i | ||||
\(955\) | −12.6617 | − | 6.52754i | −0.409722 | − | 0.211226i | ||||
\(956\) | 12.9375 | − | 37.3805i | 0.418429 | − | 1.20897i | ||||
\(957\) | 8.47668 | − | 34.9413i | 0.274012 | − | 1.12949i | ||||
\(958\) | −5.59040 | + | 38.8821i | −0.180618 | + | 1.25622i | ||||
\(959\) | −10.5593 | + | 6.30346i | −0.340976 | + | 0.203549i | ||||
\(960\) | −3.30190 | + | 7.23015i | −0.106568 | + | 0.233352i | ||||
\(961\) | −7.62026 | + | 7.26590i | −0.245815 | + | 0.234384i | ||||
\(962\) | 72.7955 | − | 102.227i | 2.34702 | − | 3.29593i | ||||
\(963\) | −2.86133 | + | 2.25017i | −0.0922050 | + | 0.0725108i | ||||
\(964\) | −35.6247 | + | 18.3658i | −1.14740 | + | 0.591523i | ||||
\(965\) | 7.64250 | 0.246021 | ||||||||
\(966\) | 27.8912 | + | 14.0195i | 0.897385 | + | 0.451071i | ||||
\(967\) | −52.0673 | −1.67437 | −0.837186 | − | 0.546918i | \(-0.815801\pi\) | ||||
−0.837186 | + | 0.546918i | \(0.815801\pi\) | |||||||
\(968\) | −6.47119 | + | 3.33613i | −0.207992 | + | 0.107227i | ||||
\(969\) | −14.0821 | + | 11.0743i | −0.452383 | + | 0.355758i | ||||
\(970\) | 11.7289 | − | 16.4709i | 0.376593 | − | 0.528850i | ||||
\(971\) | −27.2865 | + | 26.0176i | −0.875666 | + | 0.834946i | −0.987310 | − | 0.158802i | \(-0.949237\pi\) |
0.111644 | + | 0.993748i | \(0.464388\pi\) | |||||||
\(972\) | 1.68351 | − | 3.68637i | 0.0539985 | − | 0.118240i | ||||
\(973\) | −0.584380 | − | 40.0714i | −0.0187344 | − | 1.28463i | ||||
\(974\) | 0.285200 | − | 1.98361i | 0.00913838 | − | 0.0635588i | ||||
\(975\) | −4.60236 | + | 18.9712i | −0.147394 | + | 0.607565i | ||||
\(976\) | −1.38998 | + | 4.01609i | −0.0444923 | + | 0.128552i | ||||
\(977\) | −4.27619 | − | 2.20453i | −0.136807 | − | 0.0705291i | 0.388464 | − | 0.921464i | \(-0.373006\pi\) |
−0.525271 | + | 0.850935i | \(0.676036\pi\) | |||||||
\(978\) | −0.0461950 | − | 0.969751i | −0.00147715 | − | 0.0310092i | ||||
\(979\) | 21.1064 | + | 24.3581i | 0.674564 | + | 0.778488i | ||||
\(980\) | 5.25197 | + | 30.2394i | 0.167768 | + | 0.965961i | ||||
\(981\) | −2.35737 | + | 16.3959i | −0.0752650 | + | 0.523480i | ||||
\(982\) | −19.3380 | − | 55.8734i | −0.617099 | − | 1.78299i | ||||
\(983\) | 27.7862 | − | 2.65326i | 0.886243 | − | 0.0846259i | 0.358002 | − | 0.933721i | \(-0.383458\pi\) |
0.528240 | + | 0.849095i | \(0.322852\pi\) | |||||||
\(984\) | 10.4721 | + | 43.1668i | 0.333840 | + | 1.37611i | ||||
\(985\) | 20.1785 | + | 1.92681i | 0.642939 | + | 0.0613932i | ||||
\(986\) | 8.39426 | + | 58.3833i | 0.267328 | + | 1.85930i | ||||
\(987\) | 21.8787 | − | 3.47203i | 0.696406 | − | 0.110516i | ||||
\(988\) | 157.355 | 5.00613 | ||||||||
\(989\) | −2.35462 | − | 25.8463i | −0.0748727 | − | 0.821865i | ||||
\(990\) | 4.69436 | + | 8.13087i | 0.149196 | + | 0.258416i | ||||
\(991\) | −1.97073 | + | 41.3706i | −0.0626022 | + | 1.31418i | 0.721007 | + | 0.692927i | \(0.243679\pi\) |
−0.783610 | + | 0.621254i | \(0.786624\pi\) | |||||||
\(992\) | 2.20253 | + | 0.881760i | 0.0699304 | + | 0.0279959i | ||||
\(993\) | −7.49138 | − | 16.4038i | −0.237732 | − | 0.520560i | ||||
\(994\) | 0.897634 | − | 11.1104i | 0.0284712 | − | 0.352400i | ||||
\(995\) | 10.2768 | − | 22.5030i | 0.325796 | − | 0.713393i | ||||
\(996\) | −6.26794 | − | 18.1100i | −0.198607 | − | 0.573838i | ||||
\(997\) | 55.4141 | − | 22.1845i | 1.75498 | − | 0.702590i | 0.756145 | − | 0.654404i | \(-0.227080\pi\) |
0.998838 | − | 0.0481858i | \(-0.0153440\pi\) | |||||||
\(998\) | −49.3976 | − | 47.1006i | −1.56366 | − | 1.49094i | ||||
\(999\) | 9.82578 | − | 1.89376i | 0.310874 | − | 0.0599161i |
(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 | 483.2.y.b.163.2 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.b.25.15 | ✓ | 320 | |
23.12 | even | 11 | inner | 483.2.y.b.58.15 | yes | 320 | |
161.81 | even | 33 | inner | 483.2.y.b.403.2 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.25.15 | ✓ | 320 | 7.4 | even | 3 | inner | |
483.2.y.b.58.15 | yes | 320 | 23.12 | even | 11 | inner | |
483.2.y.b.163.2 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.403.2 | yes | 320 | 161.81 | even | 33 | inner |