Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Root | \(-0.415415 - 0.909632i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 69.4 |
Dual form | 69.2.e.a.52.1 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{2}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.662317 | − | 1.45027i | −0.468329 | − | 1.02550i | −0.985509 | − | 0.169621i | \(-0.945746\pi\) |
0.517180 | − | 0.855877i | \(-0.326982\pi\) | |||||||
\(3\) | 0.959493 | − | 0.281733i | 0.553964 | − | 0.162658i | ||||
\(4\) | −0.354905 | + | 0.409583i | −0.177453 | + | 0.204791i | ||||
\(5\) | −0.438384 | − | 0.281733i | −0.196051 | − | 0.125995i | 0.438932 | − | 0.898520i | \(-0.355357\pi\) |
−0.634984 | + | 0.772526i | \(0.718993\pi\) | |||||||
\(6\) | −1.04408 | − | 1.20493i | −0.426243 | − | 0.491911i | ||||
\(7\) | 0.188515 | + | 1.31115i | 0.0712520 | + | 0.495569i | 0.993931 | + | 0.110001i | \(0.0350854\pi\) |
−0.922679 | + | 0.385568i | \(0.874006\pi\) | |||||||
\(8\) | −2.23047 | − | 0.654925i | −0.788590 | − | 0.231551i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −0.118239 | + | 0.822373i | −0.0373906 | + | 0.260057i | ||||
\(11\) | 0.0950085 | − | 0.208040i | 0.0286461 | − | 0.0627263i | −0.894768 | − | 0.446531i | \(-0.852659\pi\) |
0.923414 | + | 0.383805i | \(0.125386\pi\) | |||||||
\(12\) | −0.225136 | + | 0.492980i | −0.0649913 | + | 0.142311i | ||||
\(13\) | −0.382075 | + | 2.65739i | −0.105969 | + | 0.737028i | 0.865680 | + | 0.500598i | \(0.166887\pi\) |
−0.971649 | + | 0.236430i | \(0.924023\pi\) | |||||||
\(14\) | 1.77667 | − | 1.14180i | 0.474835 | − | 0.305158i | ||||
\(15\) | −0.500000 | − | 0.146813i | −0.129099 | − | 0.0379070i | ||||
\(16\) | 0.681716 | + | 4.74144i | 0.170429 | + | 1.18536i | ||||
\(17\) | 3.83307 | + | 4.42360i | 0.929656 | + | 1.07288i | 0.997171 | + | 0.0751620i | \(0.0239474\pi\) |
−0.0675154 | + | 0.997718i | \(0.521507\pi\) | |||||||
\(18\) | −1.34125 | − | 0.861971i | −0.316136 | − | 0.203169i | ||||
\(19\) | 1.30463 | − | 1.50563i | 0.299303 | − | 0.345414i | −0.586100 | − | 0.810239i | \(-0.699337\pi\) |
0.885403 | + | 0.464825i | \(0.153883\pi\) | |||||||
\(20\) | 0.270978 | − | 0.0795663i | 0.0605925 | − | 0.0177916i | ||||
\(21\) | 0.550273 | + | 1.20493i | 0.120079 | + | 0.262937i | ||||
\(22\) | −0.364640 | −0.0777415 | ||||||||
\(23\) | −0.745229 | + | 4.73758i | −0.155391 | + | 0.987853i | ||||
\(24\) | −2.32463 | −0.474514 | ||||||||
\(25\) | −1.96427 | − | 4.30115i | −0.392853 | − | 0.860229i | ||||
\(26\) | 4.10700 | − | 1.20592i | 0.805449 | − | 0.236501i | ||||
\(27\) | 0.654861 | − | 0.755750i | 0.126028 | − | 0.145444i | ||||
\(28\) | −0.603930 | − | 0.388122i | −0.114132 | − | 0.0733482i | ||||
\(29\) | −4.19353 | − | 4.83960i | −0.778720 | − | 0.898691i | 0.218296 | − | 0.975883i | \(-0.429950\pi\) |
−0.997016 | + | 0.0771919i | \(0.975405\pi\) | |||||||
\(30\) | 0.118239 | + | 0.822373i | 0.0215875 | + | 0.150144i | ||||
\(31\) | −9.52067 | − | 2.79552i | −1.70996 | − | 0.502090i | −0.727116 | − | 0.686515i | \(-0.759140\pi\) |
−0.982847 | + | 0.184425i | \(0.940958\pi\) | |||||||
\(32\) | 2.51365 | − | 1.61543i | 0.444355 | − | 0.285570i | ||||
\(33\) | 0.0325485 | − | 0.226380i | 0.00566596 | − | 0.0394076i | ||||
\(34\) | 3.87672 | − | 8.48882i | 0.664851 | − | 1.45582i | ||||
\(35\) | 0.286752 | − | 0.627899i | 0.0484699 | − | 0.106134i | ||||
\(36\) | −0.0771283 | + | 0.536439i | −0.0128547 | + | 0.0894065i | ||||
\(37\) | 7.40250 | − | 4.75730i | 1.21696 | − | 0.782095i | 0.235153 | − | 0.971958i | \(-0.424441\pi\) |
0.981811 | + | 0.189863i | \(0.0608045\pi\) | |||||||
\(38\) | −3.04765 | − | 0.894870i | −0.494394 | − | 0.145167i | ||||
\(39\) | 0.382075 | + | 2.65739i | 0.0611810 | + | 0.425523i | ||||
\(40\) | 0.793290 | + | 0.915505i | 0.125430 | + | 0.144754i | ||||
\(41\) | 0.614669 | + | 0.395023i | 0.0959951 | + | 0.0616923i | 0.587758 | − | 0.809037i | \(-0.300011\pi\) |
−0.491763 | + | 0.870729i | \(0.663647\pi\) | |||||||
\(42\) | 1.38302 | − | 1.59609i | 0.213405 | − | 0.246282i | ||||
\(43\) | −9.98718 | + | 2.93250i | −1.52303 | + | 0.447202i | −0.932909 | − | 0.360112i | \(-0.882739\pi\) |
−0.590122 | + | 0.807314i | \(0.700920\pi\) | |||||||
\(44\) | 0.0514904 | + | 0.112748i | 0.00776247 | + | 0.0169974i | ||||
\(45\) | −0.521109 | −0.0776823 | ||||||||
\(46\) | 7.36436 | − | 2.05699i | 1.08582 | − | 0.303287i | ||||
\(47\) | −2.04380 | −0.298119 | −0.149059 | − | 0.988828i | \(-0.547625\pi\) | ||||
−0.149059 | + | 0.988828i | \(0.547625\pi\) | |||||||
\(48\) | 1.98992 | + | 4.35731i | 0.287220 | + | 0.628924i | ||||
\(49\) | 5.03287 | − | 1.47778i | 0.718981 | − | 0.211112i | ||||
\(50\) | −4.93687 | + | 5.69745i | −0.698178 | + | 0.805741i | ||||
\(51\) | 4.92408 | + | 3.16451i | 0.689508 | + | 0.443120i | ||||
\(52\) | −0.952821 | − | 1.09961i | −0.132133 | − | 0.152489i | ||||
\(53\) | 0.955435 | + | 6.64520i | 0.131239 | + | 0.912788i | 0.943942 | + | 0.330110i | \(0.107086\pi\) |
−0.812703 | + | 0.582678i | \(0.802005\pi\) | |||||||
\(54\) | −1.52977 | − | 0.449181i | −0.208175 | − | 0.0611257i | ||||
\(55\) | −0.100262 | + | 0.0644343i | −0.0135193 | + | 0.00868832i | ||||
\(56\) | 0.438229 | − | 3.04795i | 0.0585608 | − | 0.407299i | ||||
\(57\) | 0.827602 | − | 1.81219i | 0.109619 | − | 0.240031i | ||||
\(58\) | −4.24128 | + | 9.28712i | −0.556908 | + | 1.21946i | ||||
\(59\) | 0.928393 | − | 6.45712i | 0.120866 | − | 0.840645i | −0.835712 | − | 0.549169i | \(-0.814944\pi\) |
0.956578 | − | 0.291476i | \(-0.0941464\pi\) | |||||||
\(60\) | 0.237585 | − | 0.152687i | 0.0306721 | − | 0.0197117i | ||||
\(61\) | 2.99298 | + | 0.878817i | 0.383211 | + | 0.112521i | 0.467664 | − | 0.883907i | \(-0.345096\pi\) |
−0.0844523 | + | 0.996428i | \(0.526914\pi\) | |||||||
\(62\) | 2.25144 | + | 15.6591i | 0.285933 | + | 1.98871i | ||||
\(63\) | 0.867451 | + | 1.00109i | 0.109289 | + | 0.126126i | ||||
\(64\) | 4.05189 | + | 2.60399i | 0.506487 | + | 0.325499i | ||||
\(65\) | 0.916170 | − | 1.05732i | 0.113637 | − | 0.131144i | ||||
\(66\) | −0.349869 | + | 0.102731i | −0.0430660 | + | 0.0126453i | ||||
\(67\) | −4.63685 | − | 10.1533i | −0.566482 | − | 1.24042i | −0.948650 | − | 0.316329i | \(-0.897550\pi\) |
0.382168 | − | 0.924093i | \(-0.375178\pi\) | |||||||
\(68\) | −3.17221 | −0.384687 | ||||||||
\(69\) | 0.619688 | + | 4.75563i | 0.0746017 | + | 0.572510i | ||||
\(70\) | −1.10055 | −0.131540 | ||||||||
\(71\) | −2.37142 | − | 5.19268i | −0.281436 | − | 0.616258i | 0.715137 | − | 0.698985i | \(-0.246364\pi\) |
−0.996572 | + | 0.0827267i | \(0.973637\pi\) | |||||||
\(72\) | −2.23047 | + | 0.654925i | −0.262863 | + | 0.0771837i | ||||
\(73\) | −1.53321 | + | 1.76941i | −0.179448 | + | 0.207094i | −0.838346 | − | 0.545138i | \(-0.816477\pi\) |
0.658898 | + | 0.752232i | \(0.271023\pi\) | |||||||
\(74\) | −11.8022 | − | 7.58480i | −1.37198 | − | 0.881716i | ||||
\(75\) | −3.09647 | − | 3.57352i | −0.357550 | − | 0.412635i | ||||
\(76\) | 0.153657 | + | 1.06871i | 0.0176257 | + | 0.122589i | ||||
\(77\) | 0.290682 | + | 0.0853519i | 0.0331263 | + | 0.00972676i | ||||
\(78\) | 3.60089 | − | 2.31415i | 0.407720 | − | 0.262026i | ||||
\(79\) | −1.38723 | + | 9.64839i | −0.156075 | + | 1.08553i | 0.749702 | + | 0.661775i | \(0.230197\pi\) |
−0.905778 | + | 0.423753i | \(0.860712\pi\) | |||||||
\(80\) | 1.03696 | − | 2.27063i | 0.115936 | − | 0.253865i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | 0.165786 | − | 1.15307i | 0.0183080 | − | 0.127335i | ||||
\(83\) | −0.303301 | + | 0.194920i | −0.0332916 | + | 0.0213952i | −0.557181 | − | 0.830391i | \(-0.688117\pi\) |
0.523889 | + | 0.851786i | \(0.324481\pi\) | |||||||
\(84\) | −0.688813 | − | 0.202254i | −0.0751557 | − | 0.0220677i | ||||
\(85\) | −0.434086 | − | 3.01914i | −0.0470833 | − | 0.327471i | ||||
\(86\) | 10.8676 | + | 12.5419i | 1.17188 | + | 1.35243i | ||||
\(87\) | −5.38714 | − | 3.46210i | −0.577562 | − | 0.371177i | ||||
\(88\) | −0.348164 | + | 0.401803i | −0.0371144 | + | 0.0428323i | ||||
\(89\) | 14.2049 | − | 4.17094i | 1.50572 | − | 0.442119i | 0.578200 | − | 0.815895i | \(-0.303755\pi\) |
0.927519 | + | 0.373776i | \(0.121937\pi\) | |||||||
\(90\) | 0.345139 | + | 0.755750i | 0.0363809 | + | 0.0796630i | ||||
\(91\) | −3.55627 | −0.372799 | ||||||||
\(92\) | −1.67594 | − | 1.98662i | −0.174729 | − | 0.207120i | ||||
\(93\) | −9.92260 | −1.02893 | ||||||||
\(94\) | 1.35364 | + | 2.96407i | 0.139618 | + | 0.305720i | ||||
\(95\) | −0.996114 | + | 0.292486i | −0.102199 | + | 0.0300084i | ||||
\(96\) | 1.95671 | − | 2.25817i | 0.199706 | − | 0.230473i | ||||
\(97\) | 4.02823 | + | 2.58879i | 0.409005 | + | 0.262851i | 0.728926 | − | 0.684593i | \(-0.240020\pi\) |
−0.319921 | + | 0.947444i | \(0.603656\pi\) | |||||||
\(98\) | −5.47655 | − | 6.32027i | −0.553215 | − | 0.638444i | ||||
\(99\) | −0.0325485 | − | 0.226380i | −0.00327124 | − | 0.0227520i | ||||
\(100\) | 2.45880 | + | 0.721970i | 0.245880 | + | 0.0721970i | ||||
\(101\) | 4.55331 | − | 2.92624i | 0.453072 | − | 0.291172i | −0.294134 | − | 0.955764i | \(-0.595031\pi\) |
0.747206 | + | 0.664593i | \(0.231395\pi\) | |||||||
\(102\) | 1.32810 | − | 9.23716i | 0.131502 | − | 0.914615i | ||||
\(103\) | −2.00457 | + | 4.38940i | −0.197516 | + | 0.432500i | −0.982311 | − | 0.187255i | \(-0.940041\pi\) |
0.784795 | + | 0.619755i | \(0.212768\pi\) | |||||||
\(104\) | 2.59260 | − | 5.67701i | 0.254225 | − | 0.556676i | ||||
\(105\) | 0.0982369 | − | 0.683252i | 0.00958694 | − | 0.0666786i | ||||
\(106\) | 9.00455 | − | 5.78687i | 0.874599 | − | 0.562071i | ||||
\(107\) | 13.7226 | + | 4.02932i | 1.32662 | + | 0.389530i | 0.866876 | − | 0.498524i | \(-0.166124\pi\) |
0.459740 | + | 0.888054i | \(0.347943\pi\) | |||||||
\(108\) | 0.0771283 | + | 0.536439i | 0.00742168 | + | 0.0516189i | ||||
\(109\) | −1.81718 | − | 2.09714i | −0.174054 | − | 0.200869i | 0.662019 | − | 0.749487i | \(-0.269700\pi\) |
−0.836073 | + | 0.548618i | \(0.815154\pi\) | |||||||
\(110\) | 0.159852 | + | 0.102731i | 0.0152413 | + | 0.00979501i | ||||
\(111\) | 5.76236 | − | 6.65012i | 0.546939 | − | 0.631201i | ||||
\(112\) | −6.08823 | + | 1.78767i | −0.575284 | + | 0.168919i | ||||
\(113\) | −4.69007 | − | 10.2698i | −0.441205 | − | 0.966103i | −0.991376 | − | 0.131051i | \(-0.958165\pi\) |
0.550171 | − | 0.835052i | \(-0.314563\pi\) | |||||||
\(114\) | −3.17631 | −0.297489 | ||||||||
\(115\) | 1.66143 | − | 1.86692i | 0.154929 | − | 0.174092i | ||||
\(116\) | 3.47052 | 0.322230 | ||||||||
\(117\) | 1.11527 | + | 2.44211i | 0.103107 | + | 0.225773i | ||||
\(118\) | −9.97947 | + | 2.93024i | −0.918685 | + | 0.269750i | ||||
\(119\) | −5.07742 | + | 5.85965i | −0.465446 | + | 0.537153i | ||||
\(120\) | 1.01908 | + | 0.654925i | 0.0930292 | + | 0.0597862i | ||||
\(121\) | 7.16921 | + | 8.27371i | 0.651747 | + | 0.752156i | ||||
\(122\) | −0.707775 | − | 4.92269i | −0.0640790 | − | 0.445679i | ||||
\(123\) | 0.701061 | + | 0.205850i | 0.0632125 | + | 0.0185609i | ||||
\(124\) | 4.52393 | − | 2.90735i | 0.406261 | − | 0.261088i | ||||
\(125\) | −0.721476 | + | 5.01798i | −0.0645308 | + | 0.448821i | ||||
\(126\) | 0.877329 | − | 1.92108i | 0.0781587 | − | 0.171144i | ||||
\(127\) | −6.47276 | + | 14.1734i | −0.574364 | + | 1.25768i | 0.370077 | + | 0.929001i | \(0.379331\pi\) |
−0.944441 | + | 0.328681i | \(0.893396\pi\) | |||||||
\(128\) | 1.94333 | − | 13.5162i | 0.171768 | − | 1.19467i | ||||
\(129\) | −8.75645 | + | 5.62743i | −0.770963 | + | 0.495468i | ||||
\(130\) | −2.14019 | − | 0.628417i | −0.187707 | − | 0.0551158i | ||||
\(131\) | −1.60034 | − | 11.1306i | −0.139823 | − | 0.972488i | −0.932067 | − | 0.362285i | \(-0.881997\pi\) |
0.792245 | − | 0.610203i | \(-0.208912\pi\) | |||||||
\(132\) | 0.0811695 | + | 0.0936746i | 0.00706490 | + | 0.00815333i | ||||
\(133\) | 2.22005 | + | 1.42674i | 0.192503 | + | 0.123714i | ||||
\(134\) | −11.6540 | + | 13.4494i | −1.00675 | + | 1.16185i | ||||
\(135\) | −0.500000 | + | 0.146813i | −0.0430331 | + | 0.0126357i | ||||
\(136\) | −5.65242 | − | 12.3771i | −0.484691 | − | 1.06133i | ||||
\(137\) | −20.3976 | −1.74269 | −0.871343 | − | 0.490674i | \(-0.836751\pi\) | ||||
−0.871343 | + | 0.490674i | \(0.836751\pi\) | |||||||
\(138\) | 6.48653 | − | 4.04845i | 0.552170 | − | 0.344627i | ||||
\(139\) | 12.3293 | 1.04576 | 0.522879 | − | 0.852407i | \(-0.324858\pi\) | ||||
0.522879 | + | 0.852407i | \(0.324858\pi\) | |||||||
\(140\) | 0.155407 | + | 0.340294i | 0.0131343 | + | 0.0287601i | ||||
\(141\) | −1.96101 | + | 0.575805i | −0.165147 | + | 0.0484915i | ||||
\(142\) | −5.96017 | + | 6.87841i | −0.500167 | + | 0.577223i | ||||
\(143\) | 0.516542 | + | 0.331962i | 0.0431954 | + | 0.0277600i | ||||
\(144\) | 3.13691 | + | 3.62019i | 0.261409 | + | 0.301682i | ||||
\(145\) | 0.474908 | + | 3.30306i | 0.0394390 | + | 0.274304i | ||||
\(146\) | 3.58160 | + | 1.05165i | 0.296415 | + | 0.0870354i | ||||
\(147\) | 4.41266 | − | 2.83585i | 0.363950 | − | 0.233897i | ||||
\(148\) | −0.678681 | + | 4.72033i | −0.0557872 | + | 0.388009i | ||||
\(149\) | −9.77633 | + | 21.4072i | −0.800909 | + | 1.75375i | −0.158535 | + | 0.987353i | \(0.550677\pi\) |
−0.642373 | + | 0.766392i | \(0.722050\pi\) | |||||||
\(150\) | −3.13173 | + | 6.85754i | −0.255705 | + | 0.559916i | ||||
\(151\) | −1.25356 | + | 8.71872i | −0.102014 | + | 0.709520i | 0.873056 | + | 0.487620i | \(0.162135\pi\) |
−0.975070 | + | 0.221900i | \(0.928774\pi\) | |||||||
\(152\) | −3.89602 | + | 2.50382i | −0.316009 | + | 0.203086i | ||||
\(153\) | 5.61616 | + | 1.64905i | 0.454040 | + | 0.133318i | ||||
\(154\) | −0.0687402 | − | 0.478098i | −0.00553924 | − | 0.0385263i | ||||
\(155\) | 3.38612 | + | 3.90779i | 0.271980 | + | 0.313882i | ||||
\(156\) | −1.22402 | − | 0.786632i | −0.0980002 | − | 0.0629809i | ||||
\(157\) | 15.4110 | − | 17.7853i | 1.22993 | − | 1.41942i | 0.355219 | − | 0.934783i | \(-0.384406\pi\) |
0.874715 | − | 0.484637i | \(-0.161048\pi\) | |||||||
\(158\) | 14.9116 | − | 4.37843i | 1.18630 | − | 0.348330i | ||||
\(159\) | 2.78890 | + | 6.10684i | 0.221174 | + | 0.484304i | ||||
\(160\) | −1.55706 | −0.123097 | ||||||||
\(161\) | −6.35217 | − | 0.0840028i | −0.500621 | − | 0.00662035i | ||||
\(162\) | −1.59435 | −0.125264 | ||||||||
\(163\) | 2.07548 | + | 4.54466i | 0.162564 | + | 0.355965i | 0.973332 | − | 0.229403i | \(-0.0736773\pi\) |
−0.810768 | + | 0.585368i | \(0.800950\pi\) | |||||||
\(164\) | −0.379944 | + | 0.111562i | −0.0296686 | + | 0.00871150i | ||||
\(165\) | −0.0780472 | + | 0.0900713i | −0.00607597 | + | 0.00701204i | ||||
\(166\) | 0.483568 | + | 0.310771i | 0.0375322 | + | 0.0241205i | ||||
\(167\) | 8.65299 | + | 9.98608i | 0.669588 | + | 0.772746i | 0.984312 | − | 0.176437i | \(-0.0564573\pi\) |
−0.314724 | + | 0.949183i | \(0.601912\pi\) | |||||||
\(168\) | −0.438229 | − | 3.04795i | −0.0338101 | − | 0.235154i | ||||
\(169\) | 5.55766 | + | 1.63187i | 0.427512 | + | 0.125529i | ||||
\(170\) | −4.09107 | + | 2.62917i | −0.313771 | + | 0.201648i | ||||
\(171\) | 0.283524 | − | 1.97195i | 0.0216816 | − | 0.150799i | ||||
\(172\) | 2.34340 | − | 5.13134i | 0.178683 | − | 0.391261i | ||||
\(173\) | 2.89069 | − | 6.32973i | 0.219775 | − | 0.481240i | −0.767342 | − | 0.641238i | \(-0.778421\pi\) |
0.987117 | + | 0.159997i | \(0.0511486\pi\) | |||||||
\(174\) | −1.45300 | + | 10.1058i | −0.110152 | + | 0.766121i | ||||
\(175\) | 5.26916 | − | 3.38628i | 0.398311 | − | 0.255979i | ||||
\(176\) | 1.05118 | + | 0.308653i | 0.0792353 | + | 0.0232656i | ||||
\(177\) | −0.928393 | − | 6.45712i | −0.0697823 | − | 0.485347i | ||||
\(178\) | −15.4572 | − | 17.8385i | −1.15856 | − | 1.33705i | ||||
\(179\) | −2.02703 | − | 1.30269i | −0.151507 | − | 0.0973677i | 0.462691 | − | 0.886520i | \(-0.346884\pi\) |
−0.614198 | + | 0.789152i | \(0.710520\pi\) | |||||||
\(180\) | 0.184944 | − | 0.213437i | 0.0137849 | − | 0.0159087i | ||||
\(181\) | −6.13613 | + | 1.80173i | −0.456095 | + | 0.133921i | −0.501707 | − | 0.865038i | \(-0.667294\pi\) |
0.0456121 | + | 0.998959i | \(0.485476\pi\) | |||||||
\(182\) | 2.35538 | + | 5.15757i | 0.174592 | + | 0.382304i | ||||
\(183\) | 3.11933 | 0.230588 | ||||||||
\(184\) | 4.76497 | − | 10.0790i | 0.351278 | − | 0.743031i | ||||
\(185\) | −4.58543 | −0.337127 | ||||||||
\(186\) | 6.57191 | + | 14.3905i | 0.481876 | + | 1.05516i | ||||
\(187\) | 1.28446 | − | 0.377151i | 0.0939289 | − | 0.0275800i | ||||
\(188\) | 0.725356 | − | 0.837105i | 0.0529020 | − | 0.0610521i | ||||
\(189\) | 1.11435 | + | 0.716152i | 0.0810573 | + | 0.0520924i | ||||
\(190\) | 1.08393 | + | 1.25092i | 0.0786364 | + | 0.0907512i | ||||
\(191\) | −1.55320 | − | 10.8027i | −0.112385 | − | 0.781658i | −0.965588 | − | 0.260078i | \(-0.916252\pi\) |
0.853202 | − | 0.521580i | \(-0.174657\pi\) | |||||||
\(192\) | 4.62139 | + | 1.35696i | 0.333520 | + | 0.0979304i | ||||
\(193\) | −4.51508 | + | 2.90167i | −0.325003 | + | 0.208866i | −0.692960 | − | 0.720976i | \(-0.743694\pi\) |
0.367957 | + | 0.929843i | \(0.380057\pi\) | |||||||
\(194\) | 1.08648 | − | 7.55663i | 0.0780047 | − | 0.542535i | ||||
\(195\) | 0.581178 | − | 1.27260i | 0.0416190 | − | 0.0911330i | ||||
\(196\) | −1.18092 | + | 2.58585i | −0.0843513 | + | 0.184704i | ||||
\(197\) | 0.737421 | − | 5.12887i | 0.0525391 | − | 0.365417i | −0.946543 | − | 0.322578i | \(-0.895451\pi\) |
0.999082 | − | 0.0428393i | \(-0.0136403\pi\) | |||||||
\(198\) | −0.306755 | + | 0.197139i | −0.0218001 | + | 0.0140101i | ||||
\(199\) | −6.33466 | − | 1.86002i | −0.449052 | − | 0.131854i | 0.0493843 | − | 0.998780i | \(-0.484274\pi\) |
−0.498436 | + | 0.866926i | \(0.666092\pi\) | |||||||
\(200\) | 1.56431 | + | 10.8800i | 0.110614 | + | 0.769334i | ||||
\(201\) | −7.30954 | − | 8.43566i | −0.515575 | − | 0.595006i | ||||
\(202\) | −7.25958 | − | 4.66545i | −0.510782 | − | 0.328260i | ||||
\(203\) | 5.55490 | − | 6.41070i | 0.389878 | − | 0.449943i | ||||
\(204\) | −3.04371 | + | 0.893714i | −0.213102 | + | 0.0625725i | ||||
\(205\) | −0.158170 | − | 0.346344i | −0.0110471 | − | 0.0241897i | ||||
\(206\) | 7.69349 | 0.536031 | ||||||||
\(207\) | 1.93440 | + | 4.38840i | 0.134450 | + | 0.305015i | ||||
\(208\) | −12.8603 | −0.891703 | ||||||||
\(209\) | −0.189279 | − | 0.414462i | −0.0130927 | − | 0.0286690i | ||||
\(210\) | −1.05597 | + | 0.310060i | −0.0728686 | + | 0.0213962i | ||||
\(211\) | 12.2818 | − | 14.1740i | 0.845516 | − | 0.975778i | −0.154409 | − | 0.988007i | \(-0.549347\pi\) |
0.999925 | + | 0.0122294i | \(0.00389284\pi\) | |||||||
\(212\) | −3.06085 | − | 1.96709i | −0.210220 | − | 0.135100i | ||||
\(213\) | −3.73831 | − | 4.31424i | −0.256145 | − | 0.295607i | ||||
\(214\) | −3.24511 | − | 22.5702i | −0.221831 | − | 1.54287i | ||||
\(215\) | 5.20441 | + | 1.52815i | 0.354938 | + | 0.104219i | ||||
\(216\) | −1.95561 | + | 1.25679i | −0.133062 | + | 0.0855139i | ||||
\(217\) | 1.87056 | − | 13.0100i | 0.126982 | − | 0.883179i | ||||
\(218\) | −1.83787 | + | 4.02437i | −0.124476 | + | 0.272565i | ||||
\(219\) | −0.972599 | + | 2.12969i | −0.0657221 | + | 0.143911i | ||||
\(220\) | 0.00919226 | − | 0.0639336i | 0.000619742 | − | 0.00431040i | ||||
\(221\) | −13.2198 | + | 8.49582i | −0.889257 | + | 0.571491i | ||||
\(222\) | −13.4610 | − | 3.95251i | −0.903443 | − | 0.265275i | ||||
\(223\) | −2.79952 | − | 19.4711i | −0.187470 | − | 1.30388i | −0.838531 | − | 0.544854i | \(-0.816585\pi\) |
0.651061 | − | 0.759025i | \(-0.274324\pi\) | |||||||
\(224\) | 2.59193 | + | 2.99125i | 0.173181 | + | 0.199861i | ||||
\(225\) | −3.97782 | − | 2.55639i | −0.265188 | − | 0.170426i | ||||
\(226\) | −11.7877 | + | 13.6038i | −0.784108 | + | 0.904909i | ||||
\(227\) | 20.6819 | − | 6.07274i | 1.37270 | − | 0.403062i | 0.489480 | − | 0.872015i | \(-0.337187\pi\) |
0.883223 | + | 0.468953i | \(0.155369\pi\) | |||||||
\(228\) | 0.448523 | + | 0.982129i | 0.0297042 | + | 0.0650431i | ||||
\(229\) | −2.58372 | −0.170737 | −0.0853686 | − | 0.996349i | \(-0.527207\pi\) | ||||
−0.0853686 | + | 0.996349i | \(0.527207\pi\) | |||||||
\(230\) | −3.80794 | − | 1.17302i | −0.251088 | − | 0.0773470i | ||||
\(231\) | 0.302954 | 0.0199329 | ||||||||
\(232\) | 6.18398 | + | 13.5410i | 0.405998 | + | 0.889012i | ||||
\(233\) | 6.10079 | − | 1.79135i | 0.399676 | − | 0.117355i | −0.0757164 | − | 0.997129i | \(-0.524124\pi\) |
0.475392 | + | 0.879774i | \(0.342306\pi\) | |||||||
\(234\) | 2.80306 | − | 3.23490i | 0.183242 | − | 0.211472i | ||||
\(235\) | 0.895970 | + | 0.575805i | 0.0584466 | + | 0.0375614i | ||||
\(236\) | 2.31523 | + | 2.67192i | 0.150709 | + | 0.173927i | ||||
\(237\) | 1.38723 | + | 9.64839i | 0.0901102 | + | 0.626730i | ||||
\(238\) | 11.8610 | + | 3.48269i | 0.768832 | + | 0.225749i | ||||
\(239\) | −15.3037 | + | 9.83506i | −0.989911 | + | 0.636177i | −0.932119 | − | 0.362151i | \(-0.882042\pi\) |
−0.0577920 | + | 0.998329i | \(0.518406\pi\) | |||||||
\(240\) | 0.355248 | − | 2.47080i | 0.0229312 | − | 0.159490i | ||||
\(241\) | −5.03218 | + | 11.0189i | −0.324151 | + | 0.709792i | −0.999619 | − | 0.0275972i | \(-0.991214\pi\) |
0.675468 | + | 0.737389i | \(0.263942\pi\) | |||||||
\(242\) | 7.25085 | − | 15.8771i | 0.466102 | − | 1.02062i | ||||
\(243\) | 0.142315 | − | 0.989821i | 0.00912950 | − | 0.0634971i | ||||
\(244\) | −1.42217 | + | 0.913974i | −0.0910452 | + | 0.0585112i | ||||
\(245\) | −2.62267 | − | 0.770086i | −0.167556 | − | 0.0491990i | ||||
\(246\) | −0.165786 | − | 1.15307i | −0.0105701 | − | 0.0735169i | ||||
\(247\) | 3.50257 | + | 4.04218i | 0.222863 | + | 0.257198i | ||||
\(248\) | 19.4047 | + | 12.4707i | 1.23220 | + | 0.791887i | ||||
\(249\) | −0.236100 | + | 0.272474i | −0.0149622 | + | 0.0172673i | ||||
\(250\) | 7.75528 | − | 2.27716i | 0.490487 | − | 0.144020i | ||||
\(251\) | 1.31055 | + | 2.86971i | 0.0827213 | + | 0.181134i | 0.946473 | − | 0.322784i | \(-0.104619\pi\) |
−0.863751 | + | 0.503918i | \(0.831891\pi\) | |||||||
\(252\) | −0.717893 | −0.0452230 | ||||||||
\(253\) | 0.914800 | + | 0.605147i | 0.0575130 | + | 0.0380453i | ||||
\(254\) | 24.8423 | 1.55874 | ||||||||
\(255\) | −1.26709 | − | 2.77454i | −0.0793484 | − | 0.173749i | ||||
\(256\) | −11.6464 | + | 3.41970i | −0.727902 | + | 0.213731i | ||||
\(257\) | −11.0307 | + | 12.7301i | −0.688078 | + | 0.794084i | −0.987090 | − | 0.160165i | \(-0.948797\pi\) |
0.299013 | + | 0.954249i | \(0.403343\pi\) | |||||||
\(258\) | 13.9609 | + | 8.97210i | 0.869165 | + | 0.558578i | ||||
\(259\) | 7.63303 | + | 8.80898i | 0.474293 | + | 0.547363i | ||||
\(260\) | 0.107905 | + | 0.750495i | 0.00669197 | + | 0.0465437i | ||||
\(261\) | −6.14431 | − | 1.80413i | −0.380323 | − | 0.111673i | ||||
\(262\) | −15.0825 | + | 9.69295i | −0.931802 | + | 0.598832i | ||||
\(263\) | −2.15669 | + | 15.0001i | −0.132987 | + | 0.924944i | 0.808644 | + | 0.588298i | \(0.200202\pi\) |
−0.941631 | + | 0.336646i | \(0.890707\pi\) | |||||||
\(264\) | −0.220860 | + | 0.483616i | −0.0135930 | + | 0.0297645i | ||||
\(265\) | 1.45332 | − | 3.18233i | 0.0892768 | − | 0.195489i | ||||
\(266\) | 0.598783 | − | 4.16463i | 0.0367137 | − | 0.255350i | ||||
\(267\) | 12.4544 | − | 8.00398i | 0.762199 | − | 0.489836i | ||||
\(268\) | 5.80426 | + | 1.70428i | 0.354551 | + | 0.104106i | ||||
\(269\) | −1.62693 | − | 11.3156i | −0.0991959 | − | 0.689922i | −0.977363 | − | 0.211569i | \(-0.932143\pi\) |
0.878167 | − | 0.478354i | \(-0.158766\pi\) | |||||||
\(270\) | 0.544078 | + | 0.627899i | 0.0331115 | + | 0.0382127i | ||||
\(271\) | −2.97406 | − | 1.91131i | −0.180662 | − | 0.116104i | 0.447184 | − | 0.894442i | \(-0.352427\pi\) |
−0.627846 | + | 0.778338i | \(0.716063\pi\) | |||||||
\(272\) | −18.3612 | + | 21.1899i | −1.11331 | + | 1.28483i | ||||
\(273\) | −3.41222 | + | 1.00192i | −0.206517 | + | 0.0606388i | ||||
\(274\) | 13.5097 | + | 29.5821i | 0.816151 | + | 1.78712i | ||||
\(275\) | −1.08143 | −0.0652127 | ||||||||
\(276\) | −2.16775 | − | 1.43398i | −0.130483 | − | 0.0863157i | ||||
\(277\) | 3.41155 | 0.204980 | 0.102490 | − | 0.994734i | \(-0.467319\pi\) | ||||
0.102490 | + | 0.994734i | \(0.467319\pi\) | |||||||
\(278\) | −8.16592 | − | 17.8809i | −0.489759 | − | 1.07242i | ||||
\(279\) | −9.52067 | + | 2.79552i | −0.569987 | + | 0.167363i | ||||
\(280\) | −1.05082 | + | 1.21271i | −0.0627985 | + | 0.0724733i | ||||
\(281\) | −10.4812 | − | 6.73587i | −0.625257 | − | 0.401828i | 0.189294 | − | 0.981921i | \(-0.439380\pi\) |
−0.814551 | + | 0.580092i | \(0.803017\pi\) | |||||||
\(282\) | 2.13389 | + | 2.46264i | 0.127071 | + | 0.146648i | ||||
\(283\) | 1.25709 | + | 8.74322i | 0.0747260 | + | 0.519731i | 0.992463 | + | 0.122543i | \(0.0391048\pi\) |
−0.917737 | + | 0.397188i | \(0.869986\pi\) | |||||||
\(284\) | 2.96846 | + | 0.871619i | 0.176146 | + | 0.0517211i | ||||
\(285\) | −0.873362 | + | 0.561276i | −0.0517335 | + | 0.0332471i | ||||
\(286\) | 0.139320 | − | 0.968991i | 0.00823816 | − | 0.0572977i | ||||
\(287\) | −0.402061 | + | 0.880392i | −0.0237329 | + | 0.0519679i | ||||
\(288\) | 1.24125 | − | 2.71797i | 0.0731416 | − | 0.160158i | ||||
\(289\) | −2.45645 | + | 17.0850i | −0.144497 | + | 1.00500i | ||||
\(290\) | 4.47580 | − | 2.87642i | 0.262828 | − | 0.168909i | ||||
\(291\) | 4.59440 | + | 1.34904i | 0.269329 | + | 0.0790821i | ||||
\(292\) | −0.180578 | − | 1.25595i | −0.0105675 | − | 0.0734989i | ||||
\(293\) | −12.5601 | − | 14.4952i | −0.733770 | − | 0.846816i | 0.259121 | − | 0.965845i | \(-0.416567\pi\) |
−0.992891 | + | 0.119029i | \(0.962022\pi\) | |||||||
\(294\) | −7.03533 | − | 4.52133i | −0.410309 | − | 0.263690i | ||||
\(295\) | −2.22617 | + | 2.56914i | −0.129613 | + | 0.149581i | ||||
\(296\) | −19.6267 | + | 5.76293i | −1.14078 | + | 0.334964i | ||||
\(297\) | −0.0950085 | − | 0.208040i | −0.00551295 | − | 0.0120717i | ||||
\(298\) | 37.5213 | 2.17355 | ||||||||
\(299\) | −12.3049 | − | 3.79048i | −0.711609 | − | 0.219209i | ||||
\(300\) | 2.56261 | 0.147952 | ||||||||
\(301\) | −5.72769 | − | 12.5419i | −0.330139 | − | 0.722903i | ||||
\(302\) | 13.4748 | − | 3.95655i | 0.775387 | − | 0.227674i | ||||
\(303\) | 3.54446 | − | 4.09052i | 0.203624 | − | 0.234994i | ||||
\(304\) | 8.02822 | + | 5.15942i | 0.460450 | + | 0.295913i | ||||
\(305\) | −1.06448 | − | 1.22848i | −0.0609521 | − | 0.0703425i | ||||
\(306\) | −1.32810 | − | 9.23716i | −0.0759226 | − | 0.528053i | ||||
\(307\) | −17.0089 | − | 4.99426i | −0.970748 | − | 0.285037i | −0.242348 | − | 0.970189i | \(-0.577918\pi\) |
−0.728400 | + | 0.685152i | \(0.759736\pi\) | |||||||
\(308\) | −0.138123 | + | 0.0887665i | −0.00787031 | + | 0.00505794i | ||||
\(309\) | −0.686735 | + | 4.77635i | −0.0390670 | + | 0.271717i | ||||
\(310\) | 3.42468 | − | 7.49900i | 0.194509 | − | 0.425915i | ||||
\(311\) | 7.63724 | − | 16.7232i | 0.433068 | − | 0.948286i | −0.559751 | − | 0.828661i | \(-0.689103\pi\) |
0.992819 | − | 0.119626i | \(-0.0381694\pi\) | |||||||
\(312\) | 0.888186 | − | 6.17747i | 0.0502836 | − | 0.349730i | ||||
\(313\) | −28.9503 | + | 18.6052i | −1.63637 | + | 1.05163i | −0.692439 | + | 0.721476i | \(0.743464\pi\) |
−0.943928 | + | 0.330153i | \(0.892900\pi\) | |||||||
\(314\) | −36.0005 | − | 10.5707i | −2.03163 | − | 0.596539i | ||||
\(315\) | −0.0982369 | − | 0.683252i | −0.00553502 | − | 0.0384969i | ||||
\(316\) | −3.45948 | − | 3.99245i | −0.194611 | − | 0.224593i | ||||
\(317\) | 0.405588 | + | 0.260655i | 0.0227801 | + | 0.0146399i | 0.551981 | − | 0.833856i | \(-0.313872\pi\) |
−0.529201 | + | 0.848496i | \(0.677508\pi\) | |||||||
\(318\) | 7.00945 | − | 8.08934i | 0.393071 | − | 0.453628i | ||||
\(319\) | −1.40525 | + | 0.412618i | −0.0786788 | + | 0.0231022i | ||||
\(320\) | −1.04266 | − | 2.28310i | −0.0582863 | − | 0.127629i | ||||
\(321\) | 14.3020 | 0.798257 | ||||||||
\(322\) | 4.08533 | + | 9.26802i | 0.227666 | + | 0.516486i | ||||
\(323\) | 11.6610 | 0.648837 | ||||||||
\(324\) | 0.225136 | + | 0.492980i | 0.0125076 | + | 0.0273878i | ||||
\(325\) | 12.1803 | − | 3.57647i | 0.675643 | − | 0.198387i | ||||
\(326\) | 5.21637 | − | 6.02002i | 0.288908 | − | 0.333418i | ||||
\(327\) | −2.33440 | − | 1.50023i | −0.129093 | − | 0.0829628i | ||||
\(328\) | −1.11229 | − | 1.28365i | −0.0614159 | − | 0.0708777i | ||||
\(329\) | −0.385287 | − | 2.67973i | −0.0212416 | − | 0.147738i | ||||
\(330\) | 0.182320 | + | 0.0535340i | 0.0100364 | + | 0.00294695i | ||||
\(331\) | −3.49551 | + | 2.24643i | −0.192131 | + | 0.123475i | −0.633170 | − | 0.774013i | \(-0.718246\pi\) |
0.441039 | + | 0.897488i | \(0.354610\pi\) | |||||||
\(332\) | 0.0278074 | − | 0.193405i | 0.00152613 | − | 0.0106145i | ||||
\(333\) | 3.65539 | − | 8.00419i | 0.200314 | − | 0.438627i | ||||
\(334\) | 8.75151 | − | 19.1631i | 0.478862 | − | 1.04856i | ||||
\(335\) | −0.827789 | + | 5.75740i | −0.0452269 | + | 0.314560i | ||||
\(336\) | −5.33797 | + | 3.43051i | −0.291210 | + | 0.187149i | ||||
\(337\) | 3.88633 | + | 1.14113i | 0.211702 | + | 0.0621613i | 0.385864 | − | 0.922556i | \(-0.373903\pi\) |
−0.174162 | + | 0.984717i | \(0.555722\pi\) | |||||||
\(338\) | −1.31427 | − | 9.14094i | −0.0714868 | − | 0.497201i | ||||
\(339\) | −7.39343 | − | 8.53248i | −0.401556 | − | 0.463420i | ||||
\(340\) | 1.39065 | + | 0.893714i | 0.0754184 | + | 0.0484684i | ||||
\(341\) | −1.48612 | + | 1.71508i | −0.0804781 | + | 0.0928766i | ||||
\(342\) | −3.04765 | + | 0.894870i | −0.164798 | + | 0.0483891i | ||||
\(343\) | 6.73828 | + | 14.7548i | 0.363833 | + | 0.796683i | ||||
\(344\) | 24.1967 | 1.30460 | ||||||||
\(345\) | 1.06815 | − | 2.25938i | 0.0575074 | − | 0.121641i | ||||
\(346\) | −11.0944 | −0.596438 | ||||||||
\(347\) | −10.2350 | − | 22.4115i | −0.549442 | − | 1.20311i | −0.957042 | − | 0.289950i | \(-0.906361\pi\) |
0.407599 | − | 0.913161i | \(-0.366366\pi\) | |||||||
\(348\) | 3.32994 | − | 0.977759i | 0.178504 | − | 0.0524134i | ||||
\(349\) | 21.3981 | − | 24.6947i | 1.14541 | − | 1.32188i | 0.206213 | − | 0.978507i | \(-0.433886\pi\) |
0.939200 | − | 0.343371i | \(-0.111569\pi\) | |||||||
\(350\) | −8.40089 | − | 5.39893i | −0.449047 | − | 0.288585i | ||||
\(351\) | 1.75812 | + | 2.02898i | 0.0938413 | + | 0.108299i | ||||
\(352\) | −0.0972543 | − | 0.676418i | −0.00518367 | − | 0.0360532i | ||||
\(353\) | 26.4957 | + | 7.77983i | 1.41022 | + | 0.414078i | 0.896181 | − | 0.443688i | \(-0.146330\pi\) |
0.514040 | + | 0.857766i | \(0.328148\pi\) | |||||||
\(354\) | −8.74969 | + | 5.62308i | −0.465041 | + | 0.298864i | ||||
\(355\) | −0.423355 | + | 2.94450i | −0.0224693 | + | 0.156278i | ||||
\(356\) | −3.33306 | + | 7.29838i | −0.176652 | + | 0.386814i | ||||
\(357\) | −3.22089 | + | 7.05277i | −0.170468 | + | 0.373272i | ||||
\(358\) | −0.546722 | + | 3.80254i | −0.0288952 | + | 0.200970i | ||||
\(359\) | 2.82013 | − | 1.81239i | 0.148841 | − | 0.0956542i | −0.464101 | − | 0.885782i | \(-0.653622\pi\) |
0.612942 | + | 0.790128i | \(0.289986\pi\) | |||||||
\(360\) | 1.16232 | + | 0.341287i | 0.0612595 | + | 0.0179874i | ||||
\(361\) | 2.13914 | + | 14.8780i | 0.112586 | + | 0.783054i | ||||
\(362\) | 6.67706 | + | 7.70574i | 0.350939 | + | 0.405005i | ||||
\(363\) | 9.20979 | + | 5.91877i | 0.483388 | + | 0.310655i | ||||
\(364\) | 1.26214 | − | 1.45659i | 0.0661541 | − | 0.0763459i | ||||
\(365\) | 1.17064 | − | 0.343729i | 0.0612738 | − | 0.0179916i | ||||
\(366\) | −2.06599 | − | 4.52388i | −0.107991 | − | 0.236467i | ||||
\(367\) | −2.87657 | −0.150156 | −0.0750780 | − | 0.997178i | \(-0.523921\pi\) | ||||
−0.0750780 | + | 0.997178i | \(0.523921\pi\) | |||||||
\(368\) | −22.9710 | − | 0.303774i | −1.19744 | − | 0.0158353i | ||||
\(369\) | 0.730658 | 0.0380365 | ||||||||
\(370\) | 3.03701 | + | 6.65012i | 0.157887 | + | 0.345723i | ||||
\(371\) | −8.53275 | + | 2.50544i | −0.442998 | + | 0.130076i | ||||
\(372\) | 3.52158 | − | 4.06413i | 0.182586 | − | 0.210715i | ||||
\(373\) | −2.99686 | − | 1.92596i | −0.155171 | − | 0.0997226i | 0.460751 | − | 0.887529i | \(-0.347580\pi\) |
−0.615922 | + | 0.787807i | \(0.711217\pi\) | |||||||
\(374\) | −1.39769 | − | 1.61302i | −0.0722728 | − | 0.0834073i | ||||
\(375\) | 0.721476 | + | 5.01798i | 0.0372569 | + | 0.259127i | ||||
\(376\) | 4.55864 | + | 1.33854i | 0.235094 | + | 0.0690297i | ||||
\(377\) | 14.4630 | − | 9.29478i | 0.744880 | − | 0.478705i | ||||
\(378\) | 0.300559 | − | 2.09044i | 0.0154591 | − | 0.107520i | ||||
\(379\) | 7.53052 | − | 16.4895i | 0.386817 | − | 0.847011i | −0.611622 | − | 0.791150i | \(-0.709482\pi\) |
0.998439 | − | 0.0558607i | \(-0.0177903\pi\) | |||||||
\(380\) | 0.233729 | − | 0.511796i | 0.0119901 | − | 0.0262546i | ||||
\(381\) | −2.21747 | + | 15.4228i | −0.113604 | + | 0.790135i | ||||
\(382\) | −14.6382 | + | 9.40740i | −0.748955 | + | 0.481324i | ||||
\(383\) | 27.8674 | + | 8.18260i | 1.42396 | + | 0.418112i | 0.900841 | − | 0.434150i | \(-0.142951\pi\) |
0.523116 | + | 0.852261i | \(0.324769\pi\) | |||||||
\(384\) | −1.94333 | − | 13.5162i | −0.0991702 | − | 0.689744i | ||||
\(385\) | −0.103384 | − | 0.119312i | −0.00526894 | − | 0.00608068i | ||||
\(386\) | 7.19862 | + | 4.62627i | 0.366400 | + | 0.235471i | ||||
\(387\) | −6.81632 | + | 7.86646i | −0.346493 | + | 0.399874i | ||||
\(388\) | −2.48996 | + | 0.731119i | −0.126409 | + | 0.0371169i | ||||
\(389\) | 15.9890 | + | 35.0111i | 0.810676 | + | 1.77513i | 0.604476 | + | 0.796623i | \(0.293382\pi\) |
0.206200 | + | 0.978510i | \(0.433890\pi\) | |||||||
\(390\) | −2.23055 | −0.112948 | ||||||||
\(391\) | −23.8137 | + | 14.8629i | −1.20431 | + | 0.751648i | ||||
\(392\) | −12.1935 | −0.615865 | ||||||||
\(393\) | −4.67138 | − | 10.2289i | −0.235640 | − | 0.515980i | ||||
\(394\) | −7.92667 | + | 2.32748i | −0.399340 | + | 0.117257i | ||||
\(395\) | 3.32640 | − | 3.83888i | 0.167370 | − | 0.193155i | ||||
\(396\) | 0.104273 | + | 0.0670120i | 0.00523990 | + | 0.00336748i | ||||
\(397\) | −17.3043 | − | 19.9703i | −0.868480 | − | 1.00228i | −0.999940 | − | 0.0109578i | \(-0.996512\pi\) |
0.131460 | − | 0.991321i | \(-0.458034\pi\) | |||||||
\(398\) | 1.49801 | + | 10.4189i | 0.0750886 | + | 0.522253i | ||||
\(399\) | 2.53208 | + | 0.743485i | 0.126762 | + | 0.0372208i | ||||
\(400\) | 19.0545 | − | 12.2456i | 0.952727 | − | 0.612281i | ||||
\(401\) | −2.04576 | + | 14.2286i | −0.102161 | + | 0.710542i | 0.872786 | + | 0.488103i | \(0.162311\pi\) |
−0.974947 | + | 0.222439i | \(0.928598\pi\) | |||||||
\(402\) | −7.39277 | + | 16.1879i | −0.368718 | + | 0.807380i | ||||
\(403\) | 11.0664 | − | 24.2320i | 0.551257 | − | 1.20708i | ||||
\(404\) | −0.417460 | + | 2.90350i | −0.0207694 | + | 0.144454i | ||||
\(405\) | −0.438384 | + | 0.281733i | −0.0217835 | + | 0.0139994i | ||||
\(406\) | −12.9764 | − | 3.81021i | −0.644006 | − | 0.189097i | ||||
\(407\) | −0.286406 | − | 1.99200i | −0.0141966 | − | 0.0987396i | ||||
\(408\) | −8.91049 | − | 10.2833i | −0.441135 | − | 0.509097i | ||||
\(409\) | −22.4998 | − | 14.4597i | −1.11254 | − | 0.714987i | −0.150697 | − | 0.988580i | \(-0.548152\pi\) |
−0.961846 | + | 0.273593i | \(0.911788\pi\) | |||||||
\(410\) | −0.397535 | + | 0.458780i | −0.0196328 | + | 0.0226575i | ||||
\(411\) | −19.5714 | + | 5.74667i | −0.965385 | + | 0.283463i | ||||
\(412\) | −1.08639 | − | 2.37886i | −0.0535225 | − | 0.117198i | ||||
\(413\) | 8.64128 | 0.425209 | ||||||||
\(414\) | 5.08320 | − | 5.71193i | 0.249825 | − | 0.280726i | ||||
\(415\) | 0.187878 | 0.00922255 | ||||||||
\(416\) | 3.33242 | + | 7.29697i | 0.163385 | + | 0.357764i | ||||
\(417\) | 11.8299 | − | 3.47357i | 0.579312 | − | 0.170101i | ||||
\(418\) | −0.475721 | + | 0.549011i | −0.0232683 | + | 0.0268530i | ||||
\(419\) | 7.58526 | + | 4.87475i | 0.370564 | + | 0.238147i | 0.712647 | − | 0.701523i | \(-0.247496\pi\) |
−0.342083 | + | 0.939670i | \(0.611132\pi\) | |||||||
\(420\) | 0.244984 | + | 0.282726i | 0.0119540 | + | 0.0137956i | ||||
\(421\) | 4.45679 | + | 30.9977i | 0.217211 | + | 1.51073i | 0.748267 | + | 0.663398i | \(0.230886\pi\) |
−0.531056 | + | 0.847337i | \(0.678205\pi\) | |||||||
\(422\) | −28.6906 | − | 8.42433i | −1.39664 | − | 0.410090i | ||||
\(423\) | −1.71935 | + | 1.10496i | −0.0835978 | + | 0.0537251i | ||||
\(424\) | 2.22104 | − | 15.4477i | 0.107863 | − | 0.750205i | ||||
\(425\) | 11.4974 | − | 25.1757i | 0.557704 | − | 1.22120i | ||||
\(426\) | −3.78087 | + | 8.27896i | −0.183184 | + | 0.401117i | ||||
\(427\) | −0.588041 | + | 4.08992i | −0.0284573 | + | 0.197925i | ||||
\(428\) | −6.52057 | + | 4.19052i | −0.315184 | + | 0.202556i | ||||
\(429\) | 0.589143 | + | 0.172988i | 0.0284441 | + | 0.00835194i | ||||
\(430\) | −1.23073 | − | 8.55993i | −0.0593512 | − | 0.412797i | ||||
\(431\) | 0.647659 | + | 0.747439i | 0.0311967 | + | 0.0360029i | 0.771133 | − | 0.636674i | \(-0.219690\pi\) |
−0.739937 | + | 0.672676i | \(0.765145\pi\) | |||||||
\(432\) | 4.02977 | + | 2.58978i | 0.193882 | + | 0.124601i | ||||
\(433\) | 3.51011 | − | 4.05088i | 0.168685 | − | 0.194673i | −0.665113 | − | 0.746743i | \(-0.731616\pi\) |
0.833798 | + | 0.552070i | \(0.186162\pi\) | |||||||
\(434\) | −20.1070 | + | 5.90395i | −0.965167 | + | 0.283399i | ||||
\(435\) | 1.38625 | + | 3.03546i | 0.0664656 | + | 0.145539i | ||||
\(436\) | 1.50388 | 0.0720226 | ||||||||
\(437\) | 6.16077 | + | 7.30283i | 0.294710 | + | 0.349342i | ||||
\(438\) | 3.73281 | 0.178360 | ||||||||
\(439\) | 2.16852 | + | 4.74839i | 0.103498 | + | 0.226628i | 0.954295 | − | 0.298865i | \(-0.0966081\pi\) |
−0.850798 | + | 0.525493i | \(0.823881\pi\) | |||||||
\(440\) | 0.265831 | − | 0.0780549i | 0.0126730 | − | 0.00372112i | ||||
\(441\) | 3.43497 | − | 3.96417i | 0.163570 | − | 0.188770i | ||||
\(442\) | 21.0769 | + | 13.5453i | 1.00253 | + | 0.644285i | ||||
\(443\) | 18.3025 | + | 21.1222i | 0.869577 | + | 1.00354i | 0.999927 | + | 0.0120769i | \(0.00384430\pi\) |
−0.130350 | + | 0.991468i | \(0.541610\pi\) | |||||||
\(444\) | 0.678681 | + | 4.72033i | 0.0322088 | + | 0.224017i | ||||
\(445\) | −7.40231 | − | 2.17351i | −0.350903 | − | 0.103034i | ||||
\(446\) | −26.3842 | + | 16.9561i | −1.24933 | + | 0.802894i | ||||
\(447\) | −3.34922 | + | 23.2944i | −0.158413 | + | 1.10179i | ||||
\(448\) | −2.65039 | + | 5.80354i | −0.125219 | + | 0.274192i | ||||
\(449\) | −3.81135 | + | 8.34570i | −0.179869 | + | 0.393858i | −0.977994 | − | 0.208634i | \(-0.933098\pi\) |
0.798125 | + | 0.602492i | \(0.205825\pi\) | |||||||
\(450\) | −1.07288 | + | 7.46207i | −0.0505762 | + | 0.351765i | ||||
\(451\) | 0.140579 | − | 0.0903448i | 0.00661962 | − | 0.00425417i | ||||
\(452\) | 5.87087 | + | 1.72384i | 0.276143 | + | 0.0810828i | ||||
\(453\) | 1.25356 | + | 8.71872i | 0.0588975 | + | 0.409641i | ||||
\(454\) | −22.5051 | − | 25.9722i | −1.05622 | − | 1.21894i | ||||
\(455\) | 1.55901 | + | 1.00192i | 0.0730877 | + | 0.0469706i | ||||
\(456\) | −3.03279 | + | 3.50003i | −0.142024 | + | 0.163904i | ||||
\(457\) | −7.75658 | + | 2.27754i | −0.362837 | + | 0.106539i | −0.458069 | − | 0.888916i | \(-0.651459\pi\) |
0.0952320 | + | 0.995455i | \(0.469641\pi\) | |||||||
\(458\) | 1.71124 | + | 3.74710i | 0.0799612 | + | 0.175091i | ||||
\(459\) | 5.85326 | 0.273207 | ||||||||
\(460\) | 0.175011 | + | 1.34307i | 0.00815992 | + | 0.0626211i | ||||
\(461\) | 20.4511 | 0.952505 | 0.476252 | − | 0.879309i | \(-0.341995\pi\) | ||||
0.476252 | + | 0.879309i | \(0.341995\pi\) | |||||||
\(462\) | −0.200652 | − | 0.439366i | −0.00933516 | − | 0.0204411i | ||||
\(463\) | −1.53573 | + | 0.450930i | −0.0713713 | + | 0.0209565i | −0.317223 | − | 0.948351i | \(-0.602750\pi\) |
0.245852 | + | 0.969307i | \(0.420932\pi\) | |||||||
\(464\) | 20.0879 | − | 23.1826i | 0.932555 | − | 1.07623i | ||||
\(465\) | 4.34991 | + | 2.79552i | 0.201722 | + | 0.129639i | ||||
\(466\) | −6.63861 | − | 7.66136i | −0.307528 | − | 0.354906i | ||||
\(467\) | −1.35158 | − | 9.40047i | −0.0625438 | − | 0.435002i | −0.996901 | − | 0.0786643i | \(-0.974934\pi\) |
0.934357 | − | 0.356337i | \(-0.115975\pi\) | |||||||
\(468\) | −1.39606 | − | 0.409920i | −0.0645329 | − | 0.0189486i | ||||
\(469\) | 12.4384 | − | 7.99367i | 0.574352 | − | 0.369113i | ||||
\(470\) | 0.241658 | − | 1.68077i | 0.0111468 | − | 0.0775280i | ||||
\(471\) | 9.77609 | − | 21.4066i | 0.450458 | − | 0.986366i | ||||
\(472\) | −6.29968 | + | 13.7944i | −0.289966 | + | 0.634938i | ||||
\(473\) | −0.338791 | + | 2.35634i | −0.0155776 | + | 0.108345i | ||||
\(474\) | 13.0740 | − | 8.40215i | 0.600509 | − | 0.385924i | ||||
\(475\) | −9.03856 | − | 2.65396i | −0.414718 | − | 0.121772i | ||||
\(476\) | −0.598009 | − | 4.15924i | −0.0274097 | − | 0.190639i | ||||
\(477\) | 4.39643 | + | 5.07375i | 0.201299 | + | 0.232311i | ||||
\(478\) | 24.3994 | + | 15.6805i | 1.11600 | + | 0.717211i | ||||
\(479\) | −20.0205 | + | 23.1049i | −0.914760 | + | 1.05569i | 0.0834873 | + | 0.996509i | \(0.473394\pi\) |
−0.998247 | + | 0.0591805i | \(0.981151\pi\) | |||||||
\(480\) | −1.49399 | + | 0.438676i | −0.0681911 | + | 0.0200227i | ||||
\(481\) | 9.81370 | + | 21.4890i | 0.447466 | + | 0.979814i | ||||
\(482\) | 19.3134 | 0.879700 | ||||||||
\(483\) | −6.11853 | + | 1.70901i | −0.278403 | + | 0.0777628i | ||||
\(484\) | −5.93316 | −0.269689 | ||||||||
\(485\) | −1.03657 | − | 2.26977i | −0.0470681 | − | 0.103065i | ||||
\(486\) | −1.52977 | + | 0.449181i | −0.0693917 | + | 0.0203752i | ||||
\(487\) | 7.68423 | − | 8.86807i | 0.348206 | − | 0.401851i | −0.554448 | − | 0.832218i | \(-0.687071\pi\) |
0.902654 | + | 0.430368i | \(0.141616\pi\) | |||||||
\(488\) | −6.10018 | − | 3.92035i | −0.276142 | − | 0.177466i | ||||
\(489\) | 3.27179 | + | 3.77584i | 0.147955 | + | 0.170749i | ||||
\(490\) | 0.620206 | + | 4.31363i | 0.0280181 | + | 0.194870i | ||||
\(491\) | −24.6102 | − | 7.22621i | −1.11064 | − | 0.326114i | −0.325570 | − | 0.945518i | \(-0.605556\pi\) |
−0.785073 | + | 0.619404i | \(0.787374\pi\) | |||||||
\(492\) | −0.333123 | + | 0.214085i | −0.0150183 | + | 0.00965170i | ||||
\(493\) | 5.33432 | − | 37.1010i | 0.240246 | − | 1.67095i | ||||
\(494\) | 3.54245 | − | 7.75689i | 0.159383 | − | 0.348999i | ||||
\(495\) | −0.0495097 | + | 0.108411i | −0.00222530 | + | 0.00487272i | ||||
\(496\) | 6.76439 | − | 47.0474i | 0.303730 | − | 2.11249i | ||||
\(497\) | 6.36135 | − | 4.08819i | 0.285345 | − | 0.183380i | ||||
\(498\) | 0.551535 | + | 0.161945i | 0.0247149 | + | 0.00725694i | ||||
\(499\) | −0.437925 | − | 3.04583i | −0.0196042 | − | 0.136350i | 0.977669 | − | 0.210152i | \(-0.0673959\pi\) |
−0.997273 | + | 0.0738018i | \(0.976487\pi\) | |||||||
\(500\) | −1.79922 | − | 2.07641i | −0.0804636 | − | 0.0928599i | ||||
\(501\) | 11.1159 | + | 7.14374i | 0.496621 | + | 0.319159i | ||||
\(502\) | 3.29386 | − | 3.80132i | 0.147012 | − | 0.169661i | ||||
\(503\) | −17.5937 | + | 5.16598i | −0.784465 | + | 0.230340i | −0.649350 | − | 0.760490i | \(-0.724959\pi\) |
−0.135116 | + | 0.990830i | \(0.543141\pi\) | |||||||
\(504\) | −1.27918 | − | 2.80102i | −0.0569794 | − | 0.124767i | ||||
\(505\) | −2.82052 | −0.125511 | ||||||||
\(506\) | 0.271740 | − | 1.72751i | 0.0120803 | − | 0.0767972i | ||||
\(507\) | 5.79228 | 0.257244 | ||||||||
\(508\) | −3.50795 | − | 7.68133i | −0.155640 | − | 0.340804i | ||||
\(509\) | −10.2437 | + | 3.00783i | −0.454045 | + | 0.133320i | −0.500756 | − | 0.865589i | \(-0.666944\pi\) |
0.0467102 | + | 0.998908i | \(0.485126\pi\) | |||||||
\(510\) | −3.18463 | + | 3.67526i | −0.141018 | + | 0.162743i | ||||
\(511\) | −2.60900 | − | 1.67670i | −0.115415 | − | 0.0741730i | ||||
\(512\) | −5.21131 | − | 6.01417i | −0.230309 | − | 0.265791i | ||||
\(513\) | −0.283524 | − | 1.97195i | −0.0125179 | − | 0.0870637i | ||||
\(514\) | 25.7680 | + | 7.56617i | 1.13658 | + | 0.333729i | ||||
\(515\) | 2.11541 | − | 1.35949i | 0.0932161 | − | 0.0599063i | ||||
\(516\) | 0.802814 | − | 5.58370i | 0.0353419 | − | 0.245809i | ||||
\(517\) | −0.194178 | + | 0.425191i | −0.00853995 | + | 0.0186999i | ||||
\(518\) | 7.71994 | − | 16.9043i | 0.339195 | − | 0.742733i | ||||
\(519\) | 0.990306 | − | 6.88773i | 0.0434696 | − | 0.302338i | ||||
\(520\) | −2.73595 | + | 1.75829i | −0.119979 | + | 0.0771061i | ||||
\(521\) | 2.47812 | + | 0.727641i | 0.108568 | + | 0.0318785i | 0.335565 | − | 0.942017i | \(-0.391073\pi\) |
−0.226997 | + | 0.973895i | \(0.572891\pi\) | |||||||
\(522\) | 1.45300 | + | 10.1058i | 0.0635961 | + | 0.442320i | ||||
\(523\) | 21.2117 | + | 24.4796i | 0.927522 | + | 1.07042i | 0.997342 | + | 0.0728574i | \(0.0232118\pi\) |
−0.0698208 | + | 0.997560i | \(0.522243\pi\) | |||||||
\(524\) | 5.12689 | + | 3.29485i | 0.223969 | + | 0.143936i | ||||
\(525\) | 4.10170 | − | 4.73361i | 0.179013 | − | 0.206592i | ||||
\(526\) | 23.1826 | − | 6.80703i | 1.01081 | − | 0.296801i | ||||
\(527\) | −24.1271 | − | 52.8310i | −1.05099 | − | 2.30136i | ||||
\(528\) | 1.09555 | 0.0476778 | ||||||||
\(529\) | −21.8893 | − | 7.06116i | −0.951707 | − | 0.307007i | ||||
\(530\) | −5.57780 | −0.242284 | ||||||||
\(531\) | −2.70997 | − | 5.93400i | −0.117603 | − | 0.257514i | ||||
\(532\) | −1.37227 | + | 0.402936i | −0.0594956 | + | 0.0174695i | ||||
\(533\) | −1.28458 | + | 1.48249i | −0.0556414 | + | 0.0642136i | ||||
\(534\) | −19.8567 | − | 12.7612i | −0.859285 | − | 0.552229i | ||||
\(535\) | −4.88059 | − | 5.63250i | −0.211006 | − | 0.243514i | ||||
\(536\) | 3.69272 | + | 25.6834i | 0.159501 | + | 1.10935i | ||||
\(537\) | −2.31193 | − | 0.678844i | −0.0997671 | − | 0.0292943i | ||||
\(538\) | −15.3331 | + | 9.85399i | −0.661057 | + | 0.424836i | ||||
\(539\) | 0.170728 | − | 1.18744i | 0.00735377 | − | 0.0511466i | ||||
\(540\) | 0.117321 | − | 0.256896i | 0.00504867 | − | 0.0110551i | ||||
\(541\) | 4.76219 | − | 10.4277i | 0.204743 | − | 0.448324i | −0.779208 | − | 0.626766i | \(-0.784378\pi\) |
0.983950 | + | 0.178442i | \(0.0571057\pi\) | |||||||
\(542\) | −0.802154 | + | 5.57910i | −0.0344554 | + | 0.239643i | ||||
\(543\) | −5.37996 | + | 3.45749i | −0.230876 | + | 0.148375i | ||||
\(544\) | 16.7810 | + | 4.92735i | 0.719479 | + | 0.211258i | ||||
\(545\) | 0.205791 | + | 1.43131i | 0.00881513 | + | 0.0613106i | ||||
\(546\) | 3.71303 | + | 4.28506i | 0.158903 | + | 0.183384i | ||||
\(547\) | −23.0671 | − | 14.8243i | −0.986276 | − | 0.633841i | −0.0551267 | − | 0.998479i | \(-0.517556\pi\) |
−0.931149 | + | 0.364638i | \(0.881193\pi\) | |||||||
\(548\) | 7.23923 | − | 8.35451i | 0.309244 | − | 0.356887i | ||||
\(549\) | 2.99298 | − | 0.878817i | 0.127737 | − | 0.0375070i | ||||
\(550\) | 0.716250 | + | 1.56837i | 0.0305410 | + | 0.0668755i | ||||
\(551\) | −12.7576 | −0.543494 | ||||||||
\(552\) | 1.73238 | − | 11.0131i | 0.0737352 | − | 0.468750i | ||||
\(553\) | −12.9120 | −0.549075 | ||||||||
\(554\) | −2.25953 | − | 4.94768i | −0.0959982 | − | 0.210207i | ||||
\(555\) | −4.39968 | + | 1.29186i | −0.186756 | + | 0.0548366i | ||||
\(556\) | −4.37574 | + | 5.04987i | −0.185573 | + | 0.214162i | ||||
\(557\) | −26.6453 | − | 17.1239i | −1.12900 | − | 0.725564i | −0.163648 | − | 0.986519i | \(-0.552326\pi\) |
−0.965351 | + | 0.260955i | \(0.915963\pi\) | |||||||
\(558\) | 10.3600 | + | 11.9560i | 0.438572 | + | 0.506140i | ||||
\(559\) | −3.97695 | − | 27.6603i | −0.168207 | − | 1.16991i | ||||
\(560\) | 3.17263 | + | 0.931568i | 0.134068 | + | 0.0393659i | ||||
\(561\) | 1.12617 | − | 0.723747i | 0.0475470 | − | 0.0305566i | ||||
\(562\) | −2.82696 | + | 19.6619i | −0.119248 | + | 0.829388i | ||||
\(563\) | −15.8643 | + | 34.7380i | −0.668601 | + | 1.46403i | 0.205684 | + | 0.978619i | \(0.434058\pi\) |
−0.874285 | + | 0.485413i | \(0.838669\pi\) | |||||||
\(564\) | 0.460134 | − | 1.00755i | 0.0193751 | − | 0.0424256i | ||||
\(565\) | −0.837289 | + | 5.82347i | −0.0352250 | + | 0.244995i | ||||
\(566\) | 11.8475 | − | 7.61391i | 0.497986 | − | 0.320036i | ||||
\(567\) | 1.27098 | + | 0.373193i | 0.0533760 | + | 0.0156726i | ||||
\(568\) | 1.88856 | + | 13.1352i | 0.0792422 | + | 0.551142i | ||||
\(569\) | −17.2036 | − | 19.8541i | −0.721214 | − | 0.832325i | 0.270239 | − | 0.962793i | \(-0.412897\pi\) |
−0.991452 | + | 0.130468i | \(0.958352\pi\) | |||||||
\(570\) | 1.39245 | + | 0.894870i | 0.0583231 | + | 0.0374820i | ||||
\(571\) | −14.0796 | + | 16.2488i | −0.589214 | + | 0.679989i | −0.969560 | − | 0.244855i | \(-0.921260\pi\) |
0.380346 | + | 0.924844i | \(0.375805\pi\) | |||||||
\(572\) | −0.319289 | + | 0.0937518i | −0.0133502 | + | 0.00391996i | ||||
\(573\) | −4.53376 | − | 9.92756i | −0.189401 | − | 0.414730i | ||||
\(574\) | 1.54310 | 0.0644078 | ||||||||
\(575\) | 21.8408 | − | 6.10053i | 0.910826 | − | 0.254410i | ||||
\(576\) | 4.81650 | 0.200687 | ||||||||
\(577\) | 17.3688 | + | 38.0323i | 0.723072 | + | 1.58331i | 0.809549 | + | 0.587052i | \(0.199712\pi\) |
−0.0864777 | + | 0.996254i | \(0.527561\pi\) | |||||||
\(578\) | 26.4048 | − | 7.75315i | 1.09829 | − | 0.322488i | ||||
\(579\) | −3.51469 | + | 4.05617i | −0.146066 | + | 0.168569i | ||||
\(580\) | −1.52142 | − | 0.977759i | −0.0631737 | − | 0.0405993i | ||||
\(581\) | −0.312746 | − | 0.360928i | −0.0129749 | − | 0.0149738i | ||||
\(582\) | −1.08648 | − | 7.55663i | −0.0450360 | − | 0.313232i | ||||
\(583\) | 1.47324 | + | 0.432582i | 0.0610153 | + | 0.0179157i | ||||
\(584\) | 4.57860 | − | 2.94249i | 0.189464 | − | 0.121761i | ||||
\(585\) | 0.199103 | − | 1.38479i | 0.00823189 | − | 0.0572540i | ||||
\(586\) | −12.7031 | + | 27.8160i | −0.524762 | + | 1.14907i | ||||
\(587\) | −16.9713 | + | 37.1620i | −0.700481 | + | 1.53384i | 0.138907 | + | 0.990305i | \(0.455641\pi\) |
−0.839388 | + | 0.543533i | \(0.817086\pi\) | |||||||
\(588\) | −0.404564 | + | 2.81381i | −0.0166840 | + | 0.116039i | ||||
\(589\) | −16.6300 | + | 10.6874i | −0.685226 | + | 0.440368i | ||||
\(590\) | 5.20039 | + | 1.52697i | 0.214097 | + | 0.0628644i | ||||
\(591\) | −0.737421 | − | 5.12887i | −0.0303334 | − | 0.210974i | ||||
\(592\) | 27.6028 | + | 31.8554i | 1.13447 | + | 1.30925i | ||||
\(593\) | 5.24865 | + | 3.37310i | 0.215536 | + | 0.138517i | 0.643954 | − | 0.765064i | \(-0.277293\pi\) |
−0.428418 | + | 0.903581i | \(0.640929\pi\) | |||||||
\(594\) | −0.238788 | + | 0.275576i | −0.00979761 | + | 0.0113070i | ||||
\(595\) | 3.87672 | − | 1.13831i | 0.158930 | − | 0.0466660i | ||||
\(596\) | −5.29834 | − | 11.6017i | −0.217028 | − | 0.475226i | ||||
\(597\) | −6.60209 | −0.270206 | ||||||||
\(598\) | 2.65250 | + | 20.3559i | 0.108469 | + | 0.832415i | ||||
\(599\) | 4.84725 | 0.198053 | 0.0990267 | − | 0.995085i | \(-0.468427\pi\) | ||||
0.0990267 | + | 0.995085i | \(0.468427\pi\) | |||||||
\(600\) | 4.56620 | + | 9.99859i | 0.186415 | + | 0.408191i | ||||
\(601\) | 19.7564 | − | 5.80099i | 0.805878 | − | 0.236627i | 0.147254 | − | 0.989099i | \(-0.452957\pi\) |
0.658625 | + | 0.752472i | \(0.271138\pi\) | |||||||
\(602\) | −14.3956 | + | 16.6134i | −0.586722 | + | 0.677113i | ||||
\(603\) | −9.39005 | − | 6.03462i | −0.382393 | − | 0.245749i | ||||
\(604\) | −3.12614 | − | 3.60776i | −0.127201 | − | 0.146798i | ||||
\(605\) | −0.811897 | − | 5.64687i | −0.0330083 | − | 0.229578i | ||||
\(606\) | −8.27993 | − | 2.43121i | −0.336349 | − | 0.0987610i | ||||
\(607\) | 32.3481 | − | 20.7889i | 1.31297 | − | 0.843794i | 0.318409 | − | 0.947953i | \(-0.396851\pi\) |
0.994561 | + | 0.104159i | \(0.0332151\pi\) | |||||||
\(608\) | 0.847164 | − | 5.89216i | 0.0343570 | − | 0.238958i | ||||
\(609\) | 3.52379 | − | 7.71602i | 0.142791 | − | 0.312669i | ||||
\(610\) | −1.07660 | + | 2.35743i | −0.0435904 | + | 0.0954497i | ||||
\(611\) | 0.780885 | − | 5.43118i | 0.0315912 | − | 0.219722i | ||||
\(612\) | −2.66863 | + | 1.71502i | −0.107873 | + | 0.0693258i | ||||
\(613\) | −18.8808 | − | 5.54391i | −0.762589 | − | 0.223916i | −0.122763 | − | 0.992436i | \(-0.539175\pi\) |
−0.639826 | + | 0.768520i | \(0.720994\pi\) | |||||||
\(614\) | 4.02224 | + | 27.9753i | 0.162324 | + | 1.12899i | ||||
\(615\) | −0.249340 | − | 0.287753i | −0.0100543 | − | 0.0116033i | ||||
\(616\) | −0.592459 | − | 0.380750i | −0.0238708 | − | 0.0153409i | ||||
\(617\) | 24.9030 | − | 28.7396i | 1.00256 | − | 1.15701i | 0.0149804 | − | 0.999888i | \(-0.495231\pi\) |
0.987578 | − | 0.157127i | \(-0.0502231\pi\) | |||||||
\(618\) | 7.38185 | − | 2.16751i | 0.296941 | − | 0.0871899i | ||||
\(619\) | 15.4088 | + | 33.7407i | 0.619334 | + | 1.35615i | 0.916003 | + | 0.401171i | \(0.131397\pi\) |
−0.296669 | + | 0.954980i | \(0.595876\pi\) | |||||||
\(620\) | −2.80232 | −0.112544 | ||||||||
\(621\) | 3.09240 | + | 3.66566i | 0.124094 | + | 0.147098i | ||||
\(622\) | −29.3115 | −1.17528 | ||||||||
\(623\) | 8.14658 | + | 17.8385i | 0.326386 | + | 0.714686i | ||||
\(624\) | −12.3394 | + | 3.62317i | −0.493971 | + | 0.145043i | ||||
\(625\) | −13.7524 | + | 15.8711i | −0.550094 | + | 0.634843i | ||||
\(626\) | 46.1569 | + | 29.6632i | 1.84480 | + | 1.18558i | ||||
\(627\) | −0.298379 | − | 0.344348i | −0.0119161 | − | 0.0137519i | ||||
\(628\) | 1.81508 | + | 12.6242i | 0.0724297 | + | 0.503760i | ||||
\(629\) | 49.4187 | + | 14.5106i | 1.97045 | + | 0.578577i | ||||
\(630\) | −0.925839 | + | 0.595000i | −0.0368863 | + | 0.0237054i | ||||
\(631\) | 2.22892 | − | 15.5025i | 0.0887318 | − | 0.617143i | −0.896129 | − | 0.443794i | \(-0.853632\pi\) |
0.984860 | − | 0.173349i | \(-0.0554588\pi\) | |||||||
\(632\) | 9.41315 | − | 20.6119i | 0.374435 | − | 0.819898i | ||||
\(633\) | 7.79106 | − | 17.0600i | 0.309667 | − | 0.678075i | ||||
\(634\) | 0.109394 | − | 0.760849i | 0.00434458 | − | 0.0302172i | ||||
\(635\) | 6.83065 | − | 4.38979i | 0.271066 | − | 0.174204i | ||||
\(636\) | −3.49105 | − | 1.02507i | −0.138429 | − | 0.0406465i | ||||
\(637\) | 2.00412 | + | 13.9389i | 0.0794060 | + | 0.552281i | ||||
\(638\) | 1.52913 | + | 1.76471i | 0.0605388 | + | 0.0698656i | ||||
\(639\) | −4.80234 | − | 3.08628i | −0.189978 | − | 0.122091i | ||||
\(640\) | −4.65987 | + | 5.37778i | −0.184197 | + | 0.212575i | ||||
\(641\) | 21.4890 | − | 6.30974i | 0.848764 | − | 0.249220i | 0.171705 | − | 0.985148i | \(-0.445072\pi\) |
0.677059 | + | 0.735929i | \(0.263254\pi\) | |||||||
\(642\) | −9.47243 | − | 20.7417i | −0.373847 | − | 0.818611i | ||||
\(643\) | −24.9262 | −0.982993 | −0.491496 | − | 0.870880i | \(-0.663550\pi\) | ||||
−0.491496 | + | 0.870880i | \(0.663550\pi\) | |||||||
\(644\) | 2.28883 | − | 2.57193i | 0.0901924 | − | 0.101348i | ||||
\(645\) | 5.42412 | 0.213575 | ||||||||
\(646\) | −7.72330 | − | 16.9117i | −0.303869 | − | 0.665381i | ||||
\(647\) | −37.3390 | + | 10.9637i | −1.46795 | + | 0.431029i | −0.915432 | − | 0.402473i | \(-0.868151\pi\) |
−0.552517 | + | 0.833501i | \(0.686333\pi\) | |||||||
\(648\) | −1.52231 | + | 1.75684i | −0.0598021 | + | 0.0690153i | ||||
\(649\) | −1.25513 | − | 0.806623i | −0.0492682 | − | 0.0316627i | ||||
\(650\) | −13.2541 | − | 15.2960i | −0.519869 | − | 0.599960i | ||||
\(651\) | −1.87056 | − | 13.0100i | −0.0733131 | − | 0.509904i | ||||
\(652\) | −2.59801 | − | 0.762846i | −0.101746 | − | 0.0298753i | ||||
\(653\) | −20.1875 | + | 12.9737i | −0.789996 | + | 0.507700i | −0.872337 | − | 0.488905i | \(-0.837397\pi\) |
0.0823412 | + | 0.996604i | \(0.473760\pi\) | |||||||
\(654\) | −0.629626 | + | 4.37915i | −0.0246203 | + | 0.171238i | ||||
\(655\) | −2.43430 | + | 5.33037i | −0.0951159 | + | 0.208275i | ||||
\(656\) | −1.45395 | + | 3.18371i | −0.0567672 | + | 0.124303i | ||||
\(657\) | −0.333197 | + | 2.31744i | −0.0129993 | + | 0.0904119i | ||||
\(658\) | −3.63116 | + | 2.33360i | −0.141557 | + | 0.0909734i | ||||
\(659\) | −19.7438 | − | 5.79731i | −0.769110 | − | 0.225831i | −0.126440 | − | 0.991974i | \(-0.540355\pi\) |
−0.642670 | + | 0.766143i | \(0.722173\pi\) | |||||||
\(660\) | −0.00919226 | − | 0.0639336i | −0.000357808 | − | 0.00248861i | ||||
\(661\) | 15.2015 | + | 17.5435i | 0.591269 | + | 0.682361i | 0.969989 | − | 0.243150i | \(-0.0781808\pi\) |
−0.378719 | + | 0.925512i | \(0.623635\pi\) | |||||||
\(662\) | 5.57307 | + | 3.58160i | 0.216604 | + | 0.139203i | ||||
\(663\) | −10.2907 | + | 11.8761i | −0.399658 | + | 0.461230i | ||||
\(664\) | 0.804162 | − | 0.236123i | 0.0312075 | − | 0.00916336i | ||||
\(665\) | −0.571276 | − | 1.25092i | −0.0221531 | − | 0.0485086i | ||||
\(666\) | −14.0293 | −0.543624 | ||||||||
\(667\) | 26.0531 | − | 16.2606i | 1.00878 | − | 0.629612i | ||||
\(668\) | −7.16112 | −0.277072 | ||||||||
\(669\) | −8.17175 | − | 17.8936i | −0.315938 | − | 0.691808i | ||||
\(670\) | 8.89806 | − | 2.61270i | 0.343762 | − | 0.100938i | ||||
\(671\) | 0.467187 | − | 0.539162i | 0.0180355 | − | 0.0208141i | ||||
\(672\) | 3.32967 | + | 2.13985i | 0.128445 | + | 0.0825465i | ||||
\(673\) | −8.66871 | − | 10.0042i | −0.334154 | − | 0.385635i | 0.563661 | − | 0.826006i | \(-0.309392\pi\) |
−0.897816 | + | 0.440371i | \(0.854847\pi\) | |||||||
\(674\) | −0.919036 | − | 6.39203i | −0.0353999 | − | 0.246212i | ||||
\(675\) | −4.53691 | − | 1.33216i | −0.174626 | − | 0.0512748i | ||||
\(676\) | −2.64083 | + | 1.69716i | −0.101570 | + | 0.0652753i | ||||
\(677\) | 0.0951453 | − | 0.661750i | 0.00365673 | − | 0.0254331i | −0.987911 | − | 0.155020i | \(-0.950456\pi\) |
0.991568 | + | 0.129587i | \(0.0413650\pi\) | |||||||
\(678\) | −7.47762 | + | 16.3737i | −0.287176 | + | 0.628828i | ||||
\(679\) | −2.63491 | + | 5.76965i | −0.101119 | + | 0.221419i | ||||
\(680\) | −1.00909 | + | 7.01839i | −0.0386969 | + | 0.269143i | ||||
\(681\) | 18.1332 | − | 11.6535i | 0.694866 | − | 0.446563i | ||||
\(682\) | 3.47161 | + | 1.01936i | 0.132935 | + | 0.0390332i | ||||
\(683\) | −2.14468 | − | 14.9166i | −0.0820638 | − | 0.570766i | −0.988820 | − | 0.149112i | \(-0.952359\pi\) |
0.906757 | − | 0.421654i | \(-0.138550\pi\) | |||||||
\(684\) | 0.707053 | + | 0.815982i | 0.0270348 | + | 0.0311999i | ||||
\(685\) | 8.94200 | + | 5.74667i | 0.341656 | + | 0.219569i | ||||
\(686\) | 16.9356 | − | 19.5447i | 0.646603 | − | 0.746220i | ||||
\(687\) | −2.47906 | + | 0.727919i | −0.0945822 | + | 0.0277718i | ||||
\(688\) | −20.7127 | − | 45.3545i | −0.789664 | − | 1.72912i | ||||
\(689\) | −18.0239 | −0.686658 | ||||||||
\(690\) | −3.98417 | − | 0.0526878i | −0.151675 | − | 0.00200579i | ||||
\(691\) | 21.5100 | 0.818279 | 0.409140 | − | 0.912472i | \(-0.365829\pi\) | ||||
0.409140 | + | 0.912472i | \(0.365829\pi\) | |||||||
\(692\) | 1.56662 | + | 3.43043i | 0.0595541 | + | 0.130405i | ||||
\(693\) | 0.290682 | − | 0.0853519i | 0.0110421 | − | 0.00324225i | ||||
\(694\) | −25.7240 | + | 29.6870i | −0.976468 | + | 1.12690i | ||||
\(695\) | −5.40498 | − | 3.47357i | −0.205022 | − | 0.131760i | ||||
\(696\) | 9.74844 | + | 11.2503i | 0.369514 | + | 0.426441i | ||||
\(697\) | 0.608642 | + | 4.23320i | 0.0230540 | + | 0.160344i | ||||
\(698\) | −49.9864 | − | 14.6773i | −1.89201 | − | 0.555545i | ||||
\(699\) | 5.34898 | − | 3.43758i | 0.202317 | − | 0.130021i | ||||
\(700\) | −0.483090 | + | 3.35997i | −0.0182591 | + | 0.126995i | ||||
\(701\) | 3.79994 | − | 8.32070i | 0.143522 | − | 0.314269i | −0.824196 | − | 0.566304i | \(-0.808373\pi\) |
0.967718 | + | 0.252036i | \(0.0811000\pi\) | |||||||
\(702\) | 1.77814 | − | 3.89358i | 0.0671114 | − | 0.146954i | ||||
\(703\) | 2.49483 | − | 17.3519i | 0.0940943 | − | 0.654440i | ||||
\(704\) | 0.926698 | − | 0.595553i | 0.0349262 | − | 0.0224457i | ||||
\(705\) | 1.02190 | + | 0.300057i | 0.0384870 | + | 0.0113008i | ||||
\(706\) | −6.26566 | − | 43.5786i | −0.235811 | − | 1.64010i | ||||
\(707\) | 4.69511 | + | 5.41845i | 0.176578 | + | 0.203782i | ||||
\(708\) | 2.97421 | + | 1.91141i | 0.111778 | + | 0.0718352i | ||||
\(709\) | 3.51871 | − | 4.06081i | 0.132148 | − | 0.152507i | −0.685819 | − | 0.727772i | \(-0.740556\pi\) |
0.817967 | + | 0.575265i | \(0.195101\pi\) | |||||||
\(710\) | 4.55072 | − | 1.33621i | 0.170785 | − | 0.0501471i | ||||
\(711\) | 4.04930 | + | 8.86673i | 0.151861 | + | 0.332528i | ||||
\(712\) | −34.4153 | −1.28977 | ||||||||
\(713\) | 20.3391 | − | 43.0216i | 0.761704 | − | 1.61117i | ||||
\(714\) | 12.3617 | 0.462625 | ||||||||
\(715\) | −0.132920 | − | 0.291054i | −0.00497092 | − | 0.0108848i | ||||
\(716\) | 1.25296 | − | 0.367903i | 0.0468254 | − | 0.0137492i | ||||
\(717\) | −11.9129 | + | 13.7482i | −0.444895 | + | 0.513436i | ||||
\(718\) | −4.49628 | − | 2.88958i | −0.167800 | − | 0.107838i | ||||
\(719\) | 16.4159 | + | 18.9449i | 0.612209 | + | 0.706527i | 0.974208 | − | 0.225651i | \(-0.0724510\pi\) |
−0.361999 | + | 0.932179i | \(0.617906\pi\) | |||||||
\(720\) | −0.355248 | − | 2.47080i | −0.0132393 | − | 0.0920814i | ||||
\(721\) | −6.13306 | − | 1.80083i | −0.228407 | − | 0.0670664i | ||||
\(722\) | 20.1604 | − | 12.9563i | 0.750293 | − | 0.482184i | ||||
\(723\) | −1.72395 | + | 11.9903i | −0.0641143 | + | 0.445925i | ||||
\(724\) | 1.43979 | − | 3.15269i | 0.0535093 | − | 0.117169i | ||||
\(725\) | −12.5786 | + | 27.5433i | −0.467157 | + | 1.02293i | ||||
\(726\) | 2.48403 | − | 17.2768i | 0.0921910 | − | 0.641202i | ||||
\(727\) | 35.5083 | − | 22.8198i | 1.31693 | − | 0.846339i | 0.321983 | − | 0.946746i | \(-0.395651\pi\) |
0.994946 | + | 0.100406i | \(0.0320143\pi\) | |||||||
\(728\) | 7.93216 | + | 2.32909i | 0.293985 | + | 0.0863219i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | −1.27383 | − | 1.47008i | −0.0471467 | − | 0.0544102i | ||||
\(731\) | −51.2538 | − | 32.9388i | −1.89569 | − | 1.21829i | ||||
\(732\) | −1.10707 | + | 1.27762i | −0.0409184 | + | 0.0472223i | ||||
\(733\) | 35.2846 | − | 10.3605i | 1.30327 | − | 0.382673i | 0.444840 | − | 0.895610i | \(-0.353261\pi\) |
0.858426 | + | 0.512937i | \(0.171442\pi\) | |||||||
\(734\) | 1.90520 | + | 4.17182i | 0.0703224 | + | 0.153985i | ||||
\(735\) | −2.73339 | −0.100823 | ||||||||
\(736\) | 5.77996 | + | 13.1125i | 0.213052 | + | 0.483332i | ||||
\(737\) | −2.55283 | −0.0940346 | ||||||||
\(738\) | −0.483927 | − | 1.05965i | −0.0178136 | − | 0.0390064i | ||||
\(739\) | −17.2494 | + | 5.06487i | −0.634528 | + | 0.186314i | −0.583149 | − | 0.812365i | \(-0.698180\pi\) |
−0.0513789 | + | 0.998679i | \(0.516362\pi\) | |||||||
\(740\) | 1.62739 | − | 1.87811i | 0.0598242 | − | 0.0690408i | ||||
\(741\) | 4.49951 | + | 2.89166i | 0.165294 | + | 0.106228i | ||||
\(742\) | 9.28496 | + | 10.7154i | 0.340862 | + | 0.393375i | ||||
\(743\) | −1.99098 | − | 13.8476i | −0.0730419 | − | 0.508018i | −0.993195 | − | 0.116460i | \(-0.962845\pi\) |
0.920154 | − | 0.391558i | \(-0.128064\pi\) | |||||||
\(744\) | 22.1321 | + | 6.49856i | 0.811401 | + | 0.238249i | ||||
\(745\) | 10.3169 | − | 6.63027i | 0.377982 | − | 0.242914i | ||||
\(746\) | −0.808302 | + | 5.62186i | −0.0295940 | + | 0.205831i | ||||
\(747\) | −0.149772 | + | 0.327954i | −0.00547985 | + | 0.0119992i | ||||
\(748\) | −0.301387 | + | 0.659945i | −0.0110198 | + | 0.0241300i | ||||
\(749\) | −2.69613 | + | 18.7520i | −0.0985146 | + | 0.685184i | ||||
\(750\) | 6.79959 | − | 4.36983i | 0.248286 | − | 0.159564i | ||||
\(751\) | 24.3508 | + | 7.15004i | 0.888574 | + | 0.260909i | 0.693997 | − | 0.719978i | \(-0.255848\pi\) |
0.194577 | + | 0.980887i | \(0.437666\pi\) | |||||||
\(752\) | −1.39329 | − | 9.69055i | −0.0508081 | − | 0.353378i | ||||
\(753\) | 2.06596 | + | 2.38424i | 0.0752876 | + | 0.0868866i | ||||
\(754\) | −23.0590 | − | 14.8191i | −0.839760 | − | 0.539681i | ||||
\(755\) | 3.00589 | − | 3.46898i | 0.109396 | − | 0.126249i | ||||
\(756\) | −0.688813 | + | 0.202254i | −0.0250519 | + | 0.00735590i | ||||
\(757\) | −16.8002 | − | 36.7873i | −0.610614 | − | 1.33706i | −0.922153 | − | 0.386825i | \(-0.873572\pi\) |
0.311539 | − | 0.950233i | \(-0.399155\pi\) | |||||||
\(758\) | −28.9019 | −1.04977 | ||||||||
\(759\) | 1.04823 | + | 0.322905i | 0.0380485 | + | 0.0117207i | ||||
\(760\) | 2.41336 | 0.0875418 | ||||||||
\(761\) | 10.7849 | + | 23.6157i | 0.390953 | + | 0.856069i | 0.998108 | + | 0.0614849i | \(0.0195836\pi\) |
−0.607155 | + | 0.794584i | \(0.707689\pi\) | |||||||
\(762\) | 23.8360 | − | 6.99887i | 0.863486 | − | 0.253542i | ||||
\(763\) | 2.40710 | − | 2.77794i | 0.0871428 | − | 0.100568i | ||||
\(764\) | 4.97585 | + | 3.19778i | 0.180020 | + | 0.115692i | ||||
\(765\) | −1.99745 | − | 2.30517i | −0.0722178 | − | 0.0833438i | ||||
\(766\) | −6.59005 | − | 45.8348i | −0.238108 | − | 1.65608i | ||||
\(767\) | 16.8044 | + | 4.93421i | 0.606771 | + | 0.178164i | ||||
\(768\) | −10.2112 | + | 6.56236i | −0.368466 | + | 0.236799i | ||||
\(769\) | −4.65743 | + | 32.3932i | −0.167951 | + | 1.16813i | 0.715159 | + | 0.698962i | \(0.246354\pi\) |
−0.883110 | + | 0.469165i | \(0.844555\pi\) | |||||||
\(770\) | −0.104561 | + | 0.228957i | −0.00376813 | + | 0.00825104i | ||||
\(771\) | −6.99741 | + | 15.3222i | −0.252005 | + | 0.551815i | ||||
\(772\) | 0.413954 | − | 2.87912i | 0.0148985 | − | 0.103622i | ||||
\(773\) | −10.4237 | + | 6.69888i | −0.374913 | + | 0.240942i | −0.714504 | − | 0.699631i | \(-0.753348\pi\) |
0.339591 | + | 0.940573i | \(0.389711\pi\) | |||||||
\(774\) | 15.9231 | + | 4.67544i | 0.572343 | + | 0.168055i | ||||
\(775\) | 6.67720 | + | 46.4409i | 0.239852 | + | 1.66821i | ||||
\(776\) | −7.28939 | − | 8.41240i | −0.261674 | − | 0.301988i | ||||
\(777\) | 9.80561 | + | 6.30168i | 0.351774 | + | 0.226072i | ||||
\(778\) | 40.1858 | − | 46.3769i | 1.44073 | − | 1.66269i | ||||
\(779\) | 1.39667 | − | 0.410100i | 0.0500410 | − | 0.0146934i | ||||
\(780\) | 0.314973 | + | 0.689694i | 0.0112778 | + | 0.0246950i | ||||
\(781\) | −1.30559 | −0.0467176 | ||||||||
\(782\) | 37.3274 | + | 24.6924i | 1.33483 | + | 0.882997i | ||||
\(783\) | −6.40370 | −0.228850 | ||||||||
\(784\) | 10.4378 | + | 22.8556i | 0.372779 | + | 0.816272i | ||||
\(785\) | −11.7666 | + | 3.45500i | −0.419970 | + | 0.123314i | ||||
\(786\) | −11.7408 | + | 13.5496i | −0.418779 | + | 0.483297i | ||||
\(787\) | 1.44894 | + | 0.931176i | 0.0516491 | + | 0.0331929i | 0.566211 | − | 0.824261i | \(-0.308409\pi\) |
−0.514561 | + | 0.857453i | \(0.672045\pi\) | |||||||
\(788\) | 1.83898 | + | 2.12230i | 0.0655111 | + | 0.0756038i | ||||
\(789\) | 2.15669 | + | 15.0001i | 0.0767800 | + | 0.534017i | ||||
\(790\) | −7.77055 | − | 2.28164i | −0.276464 | − | 0.0811771i | ||||
\(791\) | 12.5811 | − | 8.08541i | 0.447334 | − | 0.287484i | ||||
\(792\) | −0.0756633 | + | 0.526250i | −0.00268858 | + | 0.0186995i | ||||
\(793\) | −3.47890 | + | 7.61774i | −0.123539 | + | 0.270514i | ||||
\(794\) | −17.5014 | + | 38.3227i | −0.621101 | + | 1.36002i | ||||
\(795\) | 0.497886 | − | 3.46287i | 0.0176582 | − | 0.122815i | ||||
\(796\) | 3.01004 | − | 1.93443i | 0.106688 | − | 0.0685642i | ||||
\(797\) | 14.3695 | + | 4.21926i | 0.508993 | + | 0.149454i | 0.526138 | − | 0.850399i | \(-0.323640\pi\) |
−0.0171452 | + | 0.999853i | \(0.505458\pi\) | |||||||
\(798\) | −0.598783 | − | 4.16463i | −0.0211967 | − | 0.147426i | ||||
\(799\) | −7.83403 | − | 9.04095i | −0.277148 | − | 0.319846i | ||||
\(800\) | −11.8857 | − | 7.63845i | −0.420222 | − | 0.270060i | ||||
\(801\) | 9.69496 | − | 11.1886i | 0.342555 | − | 0.395329i | ||||
\(802\) | 21.9903 | − | 6.45693i | 0.776504 | − | 0.228002i | ||||
\(803\) | 0.222441 | + | 0.487077i | 0.00784976 | + | 0.0171886i | ||||
\(804\) | 6.04930 | 0.213342 | ||||||||
\(805\) | 2.76103 | + | 1.82644i | 0.0973134 | + | 0.0643735i | ||||
\(806\) | −42.4726 | −1.49603 | ||||||||
\(807\) | −4.74899 | − | 10.3988i | −0.167173 | − | 0.366057i | ||||
\(808\) | −12.0725 | + | 3.54481i | −0.424709 | + | 0.124706i | ||||
\(809\) | −8.87852 | + | 10.2464i | −0.312152 | + | 0.360243i | −0.890047 | − | 0.455868i | \(-0.849329\pi\) |
0.577895 | + | 0.816111i | \(0.303874\pi\) | |||||||
\(810\) | 0.698939 | + | 0.449181i | 0.0245582 | + | 0.0157826i | ||||
\(811\) | 6.62459 | + | 7.64519i | 0.232621 | + | 0.268459i | 0.860044 | − | 0.510220i | \(-0.170436\pi\) |
−0.627423 | + | 0.778678i | \(0.715890\pi\) | |||||||
\(812\) | 0.654246 | + | 4.55038i | 0.0229595 | + | 0.159687i | ||||
\(813\) | −3.39207 | − | 0.996002i | −0.118965 | − | 0.0349313i | ||||
\(814\) | −2.69925 | + | 1.73470i | −0.0946086 | + | 0.0608012i | ||||
\(815\) | 0.370522 | − | 2.57704i | 0.0129788 | − | 0.0902697i | ||||
\(816\) | −11.6475 | + | 25.5045i | −0.407744 | + | 0.892836i | ||||
\(817\) | −8.61435 | + | 18.8628i | −0.301378 | + | 0.659926i | ||||
\(818\) | −6.06856 | + | 42.2077i | −0.212182 | + | 1.47576i | ||||
\(819\) | −2.99173 | + | 1.92267i | −0.104539 | + | 0.0671834i | ||||
\(820\) | 0.197992 | + | 0.0581357i | 0.00691418 | + | 0.00203019i | ||||
\(821\) | 1.31610 | + | 9.15365i | 0.0459321 | + | 0.319465i | 0.999814 | + | 0.0192828i | \(0.00613828\pi\) |
−0.953882 | + | 0.300182i | \(0.902953\pi\) | |||||||
\(822\) | 21.2967 | + | 24.5777i | 0.742808 | + | 0.857246i | ||||
\(823\) | −9.36483 | − | 6.01841i | −0.326438 | − | 0.209789i | 0.367149 | − | 0.930162i | \(-0.380334\pi\) |
−0.693586 | + | 0.720374i | \(0.743970\pi\) | |||||||
\(824\) | 7.34586 | − | 8.47758i | 0.255905 | − | 0.295330i | ||||
\(825\) | −1.03763 | + | 0.304674i | −0.0361255 | + | 0.0106074i | ||||
\(826\) | −5.72327 | − | 12.5322i | −0.199138 | − | 0.436051i | ||||
\(827\) | −28.2453 | −0.982186 | −0.491093 | − | 0.871107i | \(-0.663402\pi\) | ||||
−0.491093 | + | 0.871107i | \(0.663402\pi\) | |||||||
\(828\) | −2.48394 | − | 0.765171i | −0.0863230 | − | 0.0265915i | ||||
\(829\) | −13.3377 | −0.463237 | −0.231618 | − | 0.972807i | \(-0.574402\pi\) | ||||
−0.231618 | + | 0.972807i | \(0.574402\pi\) | |||||||
\(830\) | −0.124435 | − | 0.272474i | −0.00431919 | − | 0.00945771i | ||||
\(831\) | 3.27336 | − | 0.961145i | 0.113552 | − | 0.0333417i | ||||
\(832\) | −8.46796 | + | 9.77255i | −0.293574 | + | 0.338802i | ||||
\(833\) | 25.8285 | + | 16.5989i | 0.894903 | + | 0.575119i | ||||
\(834\) | −12.8728 | − | 14.8560i | −0.445747 | − | 0.514420i | ||||
\(835\) | −0.979931 | − | 6.81557i | −0.0339119 | − | 0.235862i | ||||
\(836\) | 0.236933 | + | 0.0695697i | 0.00819449 | + | 0.00240612i | ||||
\(837\) | −8.34742 | + | 5.36456i | −0.288529 | + | 0.185426i | ||||
\(838\) | 2.04587 | − | 14.2293i | 0.0706734 | − | 0.491544i | ||||
\(839\) | 11.4734 | − | 25.1233i | 0.396106 | − | 0.867352i | −0.601544 | − | 0.798840i | \(-0.705447\pi\) |
0.997650 | − | 0.0685123i | \(-0.0218252\pi\) | |||||||
\(840\) | −0.666594 | + | 1.45964i | −0.0229997 | + | 0.0503623i | ||||
\(841\) | −1.70884 | + | 11.8852i | −0.0589254 | + | 0.409835i | ||||
\(842\) | 42.0033 | − | 26.9939i | 1.44753 | − | 0.930270i | ||||
\(843\) | −11.9544 | − | 3.51012i | −0.411730 | − | 0.120895i | ||||
\(844\) | 1.44653 | + | 10.0609i | 0.0497917 | + | 0.346309i | ||||
\(845\) | −1.97664 | − | 2.28116i | −0.0679984 | − | 0.0784743i | ||||
\(846\) | 2.74125 | + | 1.76170i | 0.0942462 | + | 0.0605684i | ||||
\(847\) | −9.49659 | + | 10.9596i | −0.326307 | + | 0.376578i | ||||
\(848\) | −30.8565 | + | 9.06027i | −1.05962 | + | 0.311131i | ||||
\(849\) | 3.66942 | + | 8.03490i | 0.125934 | + | 0.275757i | ||||
\(850\) | −44.1266 | −1.51353 | ||||||||
\(851\) | 17.0215 | + | 38.6152i | 0.583490 | + | 1.32371i | ||||
\(852\) | 3.09378 | 0.105991 | ||||||||
\(853\) | −8.35407 | − | 18.2929i | −0.286038 | − | 0.626336i | 0.711005 | − | 0.703187i | \(-0.248240\pi\) |
−0.997043 | + | 0.0768517i | \(0.975513\pi\) | |||||||
\(854\) | 6.32096 | − | 1.85600i | 0.216299 | − | 0.0635111i | ||||
\(855\) | −0.679855 | + | 0.784595i | −0.0232506 | + | 0.0268326i | ||||
\(856\) | −27.9690 | − | 17.9746i | −0.955961 | − | 0.614359i | ||||
\(857\) | −24.2865 | − | 28.0281i | −0.829612 | − | 0.957423i | 0.169995 | − | 0.985445i | \(-0.445625\pi\) |
−0.999607 | + | 0.0280216i | \(0.991079\pi\) | |||||||
\(858\) | −0.139320 | − | 0.968991i | −0.00475630 | − | 0.0330808i | ||||
\(859\) | 14.0208 | + | 4.11689i | 0.478385 | + | 0.140467i | 0.512030 | − | 0.858967i | \(-0.328894\pi\) |
−0.0336454 | + | 0.999434i | \(0.510712\pi\) | |||||||
\(860\) | −2.47298 | + | 1.58929i | −0.0843278 | + | 0.0541942i | ||||
\(861\) | −0.137740 | + | 0.958003i | −0.00469417 | + | 0.0326487i | ||||
\(862\) | 0.655034 | − | 1.43432i | 0.0223106 | − | 0.0488533i | ||||
\(863\) | −9.64304 | + | 21.1153i | −0.328253 | + | 0.718774i | −0.999753 | − | 0.0222308i | \(-0.992923\pi\) |
0.671500 | + | 0.741005i | \(0.265650\pi\) | |||||||
\(864\) | 0.425234 | − | 2.95757i | 0.0144668 | − | 0.100619i | ||||
\(865\) | −3.05052 | + | 1.96045i | −0.103721 | + | 0.0666574i | ||||
\(866\) | −8.19970 | − | 2.40765i | −0.278637 | − | 0.0818152i | ||||
\(867\) | 2.45645 | + | 17.0850i | 0.0834253 | + | 0.580236i | ||||
\(868\) | 4.66481 | + | 5.38348i | 0.158334 | + | 0.182727i | ||||
\(869\) | 1.87545 | + | 1.20528i | 0.0636202 | + | 0.0408862i | ||||
\(870\) | 3.48411 | − | 4.02088i | 0.118123 | − | 0.136321i | ||||
\(871\) | 28.7529 | − | 8.44262i | 0.974255 | − | 0.286067i | ||||
\(872\) | 2.67970 | + | 5.86772i | 0.0907459 | + | 0.198706i | ||||
\(873\) | 4.78837 | 0.162062 | ||||||||
\(874\) | 6.51071 | − | 13.7716i | 0.220228 | − | 0.465831i | ||||
\(875\) | −6.71534 | −0.227020 | ||||||||
\(876\) | −0.527105 | − | 1.15420i | −0.0178092 | − | 0.0389968i | ||||
\(877\) | 17.5582 | − | 5.15556i | 0.592899 | − | 0.174091i | 0.0285011 | − | 0.999594i | \(-0.490927\pi\) |
0.564398 | + | 0.825503i | \(0.309108\pi\) | |||||||
\(878\) | 5.45021 | − | 6.28988i | 0.183936 | − | 0.212273i | ||||
\(879\) | −16.1351 | − | 10.3694i | −0.544223 | − | 0.349751i | ||||
\(880\) | −0.373861 | − | 0.431459i | −0.0126029 | − | 0.0145445i | ||||
\(881\) | −1.81333 | − | 12.6120i | −0.0610927 | − | 0.424909i | −0.997298 | − | 0.0734564i | \(-0.976597\pi\) |
0.936206 | − | 0.351452i | \(-0.114312\pi\) | |||||||
\(882\) | −8.02416 | − | 2.35611i | −0.270188 | − | 0.0793342i | ||||
\(883\) | −28.7691 | + | 18.4888i | −0.968158 | + | 0.622197i | −0.926244 | − | 0.376924i | \(-0.876982\pi\) |
−0.0419134 | + | 0.999121i | \(0.513345\pi\) | |||||||
\(884\) | 1.21202 | − | 8.42980i | 0.0407647 | − | 0.283525i | ||||
\(885\) | −1.41219 | + | 3.09226i | −0.0474701 | + | 0.103945i | ||||
\(886\) | 18.5109 | − | 40.5332i | 0.621885 | − | 1.36174i | ||||
\(887\) | 6.56176 | − | 45.6380i | 0.220322 | − | 1.53237i | −0.516499 | − | 0.856288i | \(-0.672765\pi\) |
0.736822 | − | 0.676087i | \(-0.236326\pi\) | |||||||
\(888\) | −17.2081 | + | 11.0590i | −0.577466 | + | 0.371115i | ||||
\(889\) | −19.8036 | − | 5.81487i | −0.664193 | − | 0.195025i | ||||
\(890\) | 1.75049 | + | 12.1749i | 0.0586766 | + | 0.408104i | ||||
\(891\) | −0.149772 | − | 0.172846i | −0.00501753 | − | 0.00579054i | ||||
\(892\) | 8.96858 | + | 5.76376i | 0.300290 | + | 0.192985i | ||||
\(893\) | −2.66641 | + | 3.07720i | −0.0892279 | + | 0.102974i | ||||
\(894\) | 36.0014 | − | 10.5710i | 1.20407 | − | 0.353546i | ||||
\(895\) | 0.521607 | + | 1.14216i | 0.0174354 | + | 0.0381782i | ||||
\(896\) | 18.0881 | 0.604281 | ||||||||
\(897\) | −12.8743 | − | 0.170254i | −0.429862 | − | 0.00568460i | ||||
\(898\) | 14.6279 | 0.488138 | ||||||||
\(899\) | 26.3961 | + | 57.7993i | 0.880358 | + | 1.92771i | ||||
\(900\) | 2.45880 | − | 0.721970i | 0.0819601 | − | 0.0240657i | ||||
\(901\) | −25.7334 | + | 29.6980i | −0.857305 | + | 0.989383i | ||||
\(902\) | −0.224133 | − | 0.144041i | −0.00746280 | − | 0.00479605i | ||||
\(903\) | −9.02914 | − | 10.4202i | −0.300471 | − | 0.346762i | ||||
\(904\) | 3.73510 | + | 25.9782i | 0.124228 | + | 0.864021i | ||||
\(905\) | 3.19759 | + | 0.938896i | 0.106291 | + | 0.0312100i | ||||
\(906\) | 11.8143 | − | 7.59257i | 0.392503 | − | 0.252246i | ||||
\(907\) | 0.00337689 | − | 0.0234868i | 0.000112128 | − | 0.000779866i | −0.989765 | − | 0.142705i | \(-0.954420\pi\) |
0.989877 | + | 0.141925i | \(0.0453291\pi\) | |||||||
\(908\) | −4.85281 | + | 10.6262i | −0.161046 | + | 0.352642i | ||||
\(909\) | 2.24845 | − | 4.92342i | 0.0745763 | − | 0.163299i | ||||
\(910\) | 0.420492 | − | 2.92458i | 0.0139392 | − | 0.0969490i | ||||
\(911\) | 22.8632 | − | 14.6933i | 0.757491 | − | 0.486810i | −0.104004 | − | 0.994577i | \(-0.533165\pi\) |
0.861494 | + | 0.507767i | \(0.169529\pi\) | |||||||
\(912\) | 9.15660 | + | 2.68862i | 0.303205 | + | 0.0890291i | ||||
\(913\) | 0.0117348 | + | 0.0816177i | 0.000388367 | + | 0.00270115i | ||||
\(914\) | 8.44037 | + | 9.74070i | 0.279183 | + | 0.322194i | ||||
\(915\) | −1.36747 | − | 0.878817i | −0.0452070 | − | 0.0290528i | ||||
\(916\) | 0.916977 | − | 1.05825i | 0.0302978 | − | 0.0349655i | ||||
\(917\) | 14.2923 | − | 4.19659i | 0.471972 | − | 0.138584i | ||||
\(918\) | −3.87672 | − | 8.48882i | −0.127951 | − | 0.280173i | ||||
\(919\) | 30.8038 | 1.01612 | 0.508061 | − | 0.861321i | \(-0.330362\pi\) | ||||
0.508061 | + | 0.861321i | \(0.330362\pi\) | |||||||
\(920\) | −4.92846 | + | 3.07601i | −0.162486 | + | 0.101413i | ||||
\(921\) | −17.7269 | −0.584123 | ||||||||
\(922\) | −13.5452 | − | 29.6597i | −0.446086 | − | 0.976792i | ||||
\(923\) | 14.7051 | − | 4.31779i | 0.484023 | − | 0.142122i | ||||
\(924\) | −0.107520 | + | 0.124085i | −0.00353715 | + | 0.00408208i | ||||
\(925\) | −35.0023 | − | 22.4946i | −1.15087 | − | 0.739619i | ||||
\(926\) | 1.67111 | + | 1.92857i | 0.0549161 | + | 0.0633766i | ||||
\(927\) | 0.686735 | + | 4.77635i | 0.0225553 | + | 0.156876i | ||||
\(928\) | −18.3591 | − | 5.39072i | −0.602667 | − | 0.176959i | ||||
\(929\) | 44.1267 | − | 28.3585i | 1.44775 | − | 0.930413i | 0.448421 | − | 0.893822i | \(-0.351986\pi\) |
0.999330 | − | 0.0365911i | \(-0.0116499\pi\) | |||||||
\(930\) | 1.17324 | − | 8.16008i | 0.0384721 | − | 0.267580i | ||||
\(931\) | 4.34105 | − | 9.50558i | 0.142272 | − | 0.311533i | ||||
\(932\) | −1.43150 | + | 3.13454i | −0.0468902 | + | 0.102675i | ||||
\(933\) | 2.61640 | − | 18.1975i | 0.0856571 | − | 0.595758i | ||||
\(934\) | −12.7381 | + | 8.18626i | −0.416802 | + | 0.267863i | ||||
\(935\) | −0.669342 | − | 0.196537i | −0.0218898 | − | 0.00642743i | ||||
\(936\) | −0.888186 | − | 6.17747i | −0.0290313 | − | 0.201917i | ||||
\(937\) | −2.51957 | − | 2.90774i | −0.0823109 | − | 0.0949918i | 0.713100 | − | 0.701062i | \(-0.247290\pi\) |
−0.795411 | + | 0.606070i | \(0.792745\pi\) | |||||||
\(938\) | −19.8312 | − | 12.7447i | −0.647510 | − | 0.416130i | ||||
\(939\) | −22.5359 | + | 26.0078i | −0.735431 | + | 0.848733i | ||||
\(940\) | −0.553824 | + | 0.162617i | −0.0180638 | + | 0.00530400i | ||||
\(941\) | −3.04443 | − | 6.66638i | −0.0992457 | − | 0.217318i | 0.853496 | − | 0.521099i | \(-0.174478\pi\) |
−0.952742 | + | 0.303782i | \(0.901751\pi\) | |||||||
\(942\) | −37.5203 | −1.22248 | ||||||||
\(943\) | −2.32952 | + | 2.61766i | −0.0758597 | + | 0.0852426i | ||||
\(944\) | 31.2489 | 1.01707 | ||||||||
\(945\) | −0.286752 | − | 0.627899i | −0.00932805 | − | 0.0204256i | ||||
\(946\) | 3.64173 | − | 1.06931i | 0.118403 | − | 0.0347662i | ||||
\(947\) | −25.3043 | + | 29.2028i | −0.822280 | + | 0.948962i | −0.999379 | − | 0.0352310i | \(-0.988783\pi\) |
0.177099 | + | 0.984193i | \(0.443329\pi\) | |||||||
\(948\) | −4.44415 | − | 2.85608i | −0.144339 | − | 0.0927612i | ||||
\(949\) | −4.11623 | − | 4.75038i | −0.133618 | − | 0.154204i | ||||
\(950\) | 2.13743 | + | 14.8661i | 0.0693474 | + | 0.482321i | ||||
\(951\) | 0.462594 | + | 0.135830i | 0.0150006 | + | 0.00440458i | ||||
\(952\) | 15.1627 | − | 9.74445i | 0.491425 | − | 0.315820i | ||||
\(953\) | 2.28805 | − | 15.9137i | 0.0741172 | − | 0.515496i | −0.918615 | − | 0.395153i | \(-0.870691\pi\) |
0.992732 | − | 0.120343i | \(-0.0383994\pi\) | |||||||
\(954\) | 4.44649 | − | 9.73645i | 0.143960 | − | 0.315229i | ||||
\(955\) | −2.36258 | + | 5.17333i | −0.0764514 | + | 0.167405i | ||||
\(956\) | 1.40308 | − | 9.75863i | 0.0453788 | − | 0.315617i | ||||
\(957\) | −1.23208 | + | 0.791809i | −0.0398274 | + | 0.0255955i | ||||
\(958\) | 46.7683 | + | 13.7324i | 1.51102 | + | 0.443674i | ||||
\(959\) | −3.84526 | − | 26.7444i | −0.124170 | − | 0.863621i | ||||
\(960\) | −1.64365 | − | 1.89687i | −0.0530484 | − | 0.0612212i | ||||
\(961\) | 56.7493 | + | 36.4706i | 1.83062 | + | 1.17647i | ||||
\(962\) | 24.6651 | − | 28.4651i | 0.795236 | − | 0.917751i | ||||
\(963\) | 13.7226 | − | 4.02932i | 0.442205 | − | 0.129843i | ||||
\(964\) | −2.72722 | − | 5.97177i | −0.0878378 | − | 0.192338i | ||||
\(965\) | 2.79683 | 0.0900333 | ||||||||
\(966\) | 6.53094 | + | 7.74163i | 0.210130 | + | 0.249083i | ||||
\(967\) | 24.1742 | 0.777391 | 0.388695 | − | 0.921366i | \(-0.372926\pi\) | ||||
0.388695 | + | 0.921366i | \(0.372926\pi\) | |||||||
\(968\) | −10.5721 | − | 23.1496i | −0.339799 | − | 0.744056i | ||||
\(969\) | 11.1887 | − | 3.28529i | 0.359432 | − | 0.105539i | ||||
\(970\) | −2.60524 | + | 3.00661i | −0.0836494 | + | 0.0965365i | ||||
\(971\) | 39.8288 | + | 25.5964i | 1.27817 | + | 0.821428i | 0.990661 | − | 0.136351i | \(-0.0435373\pi\) |
0.287507 | + | 0.957779i | \(0.407174\pi\) | |||||||
\(972\) | 0.354905 | + | 0.409583i | 0.0113836 | + | 0.0131374i | ||||
\(973\) | 2.32426 | + | 16.1656i | 0.0745124 | + | 0.518245i | ||||
\(974\) | −17.9505 | − | 5.27075i | −0.575172 | − | 0.168886i | ||||
\(975\) | 10.6793 | − | 6.86319i | 0.342012 | − | 0.219798i | ||||
\(976\) | −2.12650 | + | 14.7901i | −0.0680675 | + | 0.473420i | ||||
\(977\) | −3.76210 | + | 8.23785i | −0.120360 | + | 0.263552i | −0.960216 | − | 0.279257i | \(-0.909912\pi\) |
0.839856 | + | 0.542809i | \(0.182639\pi\) | |||||||
\(978\) | 3.30904 | − | 7.24579i | 0.105811 | − | 0.231695i | ||||
\(979\) | 0.481868 | − | 3.35146i | 0.0154006 | − | 0.107113i | ||||
\(980\) | 1.24621 | − | 0.800893i | 0.0398088 | − | 0.0255836i | ||||
\(981\) | −2.66250 | − | 0.781782i | −0.0850072 | − | 0.0249604i | ||||
\(982\) | 5.81979 | + | 40.4776i | 0.185717 | + | 1.29169i | ||||
\(983\) | −6.60707 | − | 7.62497i | −0.210733 | − | 0.243199i | 0.640536 | − | 0.767928i | \(-0.278712\pi\) |
−0.851269 | + | 0.524729i | \(0.824167\pi\) | |||||||
\(984\) | −1.42888 | − | 0.918285i | −0.0455510 | − | 0.0292739i | ||||
\(985\) | −1.76824 | + | 2.04066i | −0.0563410 | + | 0.0650209i | ||||
\(986\) | −57.3396 | + | 16.8364i | −1.82607 | + | 0.536181i | ||||
\(987\) | −1.12465 | − | 2.46264i | −0.0357979 | − | 0.0783866i | ||||
\(988\) | −2.89869 | −0.0922196 | ||||||||
\(989\) | −6.45022 | − | 49.5004i | −0.205105 | − | 1.57402i | ||||
\(990\) | 0.190017 | 0.00603914 | ||||||||
\(991\) | −12.8272 | − | 28.0878i | −0.407471 | − | 0.892237i | −0.996458 | − | 0.0840943i | \(-0.973200\pi\) |
0.588987 | − | 0.808143i | \(-0.299527\pi\) | |||||||
\(992\) | −28.4476 | + | 8.35297i | −0.903212 | + | 0.265207i | ||||
\(993\) | −2.72103 | + | 3.14023i | −0.0863491 | + | 0.0996522i | ||||
\(994\) | −10.1422 | − | 6.51801i | −0.321692 | − | 0.206739i | ||||
\(995\) | 2.25299 | + | 2.60009i | 0.0714245 | + | 0.0824283i | ||||
\(996\) | −0.0278074 | − | 0.193405i | −0.000881112 | − | 0.00612827i | ||||
\(997\) | −9.94975 | − | 2.92151i | −0.315112 | − | 0.0925251i | 0.120352 | − | 0.992731i | \(-0.461598\pi\) |
−0.435464 | + | 0.900206i | \(0.643416\pi\) | |||||||
\(998\) | −4.12724 | + | 2.65242i | −0.130646 | + | 0.0839608i | ||||
\(999\) | 1.25228 | − | 8.70981i | 0.0396204 | − | 0.275566i |
(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 | 69.2.e.a.4.1 | ✓ | 10 | |
3.2 | odd | 2 | 207.2.i.b.73.1 | 10 | |||
23.6 | even | 11 | inner | 69.2.e.a.52.1 | yes | 10 | |
23.11 | odd | 22 | 1587.2.a.p.1.2 | 5 | |||
23.12 | even | 11 | 1587.2.a.o.1.2 | 5 | |||
69.11 | even | 22 | 4761.2.a.bq.1.4 | 5 | |||
69.29 | odd | 22 | 207.2.i.b.190.1 | 10 | |||
69.35 | odd | 22 | 4761.2.a.br.1.4 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.e.a.4.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
69.2.e.a.52.1 | yes | 10 | 23.6 | even | 11 | inner | |
207.2.i.b.73.1 | 10 | 3.2 | odd | 2 | |||
207.2.i.b.190.1 | 10 | 69.29 | odd | 22 | |||
1587.2.a.o.1.2 | 5 | 23.12 | even | 11 | |||
1587.2.a.p.1.2 | 5 | 23.11 | odd | 22 | |||
4761.2.a.bq.1.4 | 5 | 69.11 | even | 22 | |||
4761.2.a.br.1.4 | 5 | 69.35 | odd | 22 |